From a000b8c50de33e1dc6e84090db58399d66a833f4 Mon Sep 17 00:00:00 2001 From: Thomas Emerick Date: Sat, 9 May 2026 00:23:17 -0500 Subject: [PATCH] Add files via upload --- etf_11x23_6a.exa | 6 ++++++ etf_11x23_6a.tp | 6 ++++++ etf_15x31_6a.exa | 6 ++++++ etf_15x31_6a.tp | 6 ++++++ etf_21x43_6a.exa | 6 ++++++ etf_23x47_6a.exa | 6 ++++++ etf_29x59_6a.exa | 6 ++++++ etf_33x67_6a.exa | 6 ++++++ etf_35x71_6a.exa | 6 ++++++ etf_39x79_6a.exa | 6 ++++++ etf_41x83_6a.exa | 6 ++++++ etf_51x103_6a.exa | 6 ++++++ etf_53x107_6a.exa | 6 ++++++ etf_63x127_6a.exa | 6 ++++++ etf_65x131_6a.exa | 6 ++++++ etf_69x139_6a.exa | 6 ++++++ etf_75x151_6a.exa | 6 ++++++ etf_81x163_6a.exa | 6 ++++++ etf_83x167_6a.exa | 6 ++++++ etf_89x179_6a.exa | 6 ++++++ etf_95x191_6a.exa | 6 ++++++ etf_99x199_6a.exa | 6 ++++++ etf_9x19_6a.exa | 6 ++++++ etf_9x19_6a.tp | 6 ++++++ 24 files changed, 144 insertions(+) create mode 100644 etf_11x23_6a.exa create mode 100644 etf_11x23_6a.tp create mode 100644 etf_15x31_6a.exa create mode 100644 etf_15x31_6a.tp create mode 100644 etf_21x43_6a.exa create mode 100644 etf_23x47_6a.exa create mode 100644 etf_29x59_6a.exa create mode 100644 etf_33x67_6a.exa create mode 100644 etf_35x71_6a.exa create mode 100644 etf_39x79_6a.exa create mode 100644 etf_41x83_6a.exa create mode 100644 etf_51x103_6a.exa create mode 100644 etf_53x107_6a.exa create mode 100644 etf_63x127_6a.exa create mode 100644 etf_65x131_6a.exa create mode 100644 etf_69x139_6a.exa create mode 100644 etf_75x151_6a.exa create mode 100644 etf_81x163_6a.exa create mode 100644 etf_83x167_6a.exa create mode 100644 etf_89x179_6a.exa create mode 100644 etf_95x191_6a.exa create mode 100644 etf_99x199_6a.exa create mode 100644 etf_9x19_6a.exa create mode 100644 etf_9x19_6a.tp diff --git a/etf_11x23_6a.exa b/etf_11x23_6a.exa new file mode 100644 index 0000000..7e672a5 --- /dev/null +++ b/etf_11x23_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}} -> 6/121 +{{2, 6}, {2, 8}, {2, 11}, {2, 15}, {2, 18}, {2, 20}, {3, 6}, {3, 11}, {3, 12}, {3, 15}, {3, 16}, {3, 21}, {4, 6}, {4, 8}, {4, 12}, {4, 16}, {4, 20}, {4, 22}, {5, 6}, {5, 8}, {5, 11}, {5, 18}, {5, 21}, {5, 23}, {7, 8}, {7, 11}, {7, 15}, {7, 16}, {7, 20}, {7, 23}, {9, 11}, {9, 12}, {9, 15}, {9, 18}, {9, 21}, {9, 22}, {10, 11}, {10, 12}, {10, 16}, {10, 18}, {10, 22}, {10, 23}, {13, 6}, {13, 8}, {13, 15}, {13, 16}, {13, 21}, {13, 22}, {14, 15}, {14, 16}, {14, 18}, {14, 20}, {14, 22}, {14, 23}, {17, 6}, {17, 12}, {17, 18}, {17, 20}, {17, 21}, {17, 23}, {19, 8}, {19, 12}, {19, 20}, {19, 21}, {19, 22}, {19, 23}} -> (17 + (5*I)*Sqrt[23])/2662 +{{6, 2}, {6, 3}, {6, 4}, {6, 5}, {6, 13}, {6, 17}, {8, 2}, {8, 4}, {8, 5}, {8, 7}, {8, 13}, {8, 19}, {11, 2}, {11, 3}, {11, 5}, {11, 7}, {11, 9}, {11, 10}, {12, 3}, {12, 4}, {12, 9}, {12, 10}, {12, 17}, {12, 19}, {15, 2}, {15, 3}, {15, 7}, {15, 9}, {15, 13}, {15, 14}, {16, 3}, {16, 4}, {16, 7}, {16, 10}, {16, 13}, {16, 14}, {18, 2}, {18, 5}, {18, 9}, {18, 10}, {18, 14}, {18, 17}, {20, 2}, {20, 4}, {20, 7}, {20, 14}, {20, 17}, {20, 19}, {21, 3}, {21, 5}, {21, 9}, {21, 13}, {21, 17}, {21, 19}, {22, 4}, {22, 9}, {22, 10}, {22, 13}, {22, 14}, {22, 19}, {23, 5}, {23, 7}, {23, 10}, {23, 14}, {23, 17}, {23, 19}} -> (17 - (5*I)*Sqrt[23])/2662 +{{2, 3}, {2, 4}, {2, 5}, {2, 10}, {2, 12}, {2, 14}, {2, 16}, {2, 21}, {2, 22}, {2, 23}, {3, 4}, {3, 5}, {3, 7}, {3, 8}, {3, 9}, {3, 18}, {3, 19}, {3, 20}, {3, 22}, {3, 23}, {4, 5}, {4, 7}, {4, 10}, {4, 11}, {4, 13}, {4, 15}, {4, 17}, {4, 18}, {4, 21}, {4, 23}, {5, 7}, {5, 9}, {5, 12}, {5, 13}, {5, 14}, {5, 15}, {5, 16}, {5, 17}, {5, 20}, {5, 22}, {6, 8}, {6, 12}, {6, 15}, {6, 18}, {6, 22}, {7, 2}, {7, 6}, {7, 9}, {7, 10}, {7, 12}, {7, 13}, {7, 18}, {7, 19}, {7, 21}, {7, 22}, {8, 11}, {8, 12}, {8, 16}, {8, 20}, {8, 21}, {9, 2}, {9, 4}, {9, 6}, {9, 8}, {9, 10}, {9, 13}, {9, 16}, {9, 17}, {9, 20}, {9, 23}, {10, 3}, {10, 5}, {10, 6}, {10, 8}, {10, 13}, {10, 14}, {10, 15}, {10, 19}, {10, 20}, {10, 21}, {11, 6}, {11, 12}, {11, 15}, {11, 20}, {11, 23}, {12, 15}, {12, 16}, {12, 18}, {12, 20}, {12, 21}, {13, 2}, {13, 3}, {13, 11}, {13, 12}, {13, 14}, {13, 17}, {13, 18}, {13, 19}, {13, 20}, {13, 23}, {14, 3}, {14, 4}, {14, 6}, {14, 7}, {14, 8}, {14, 9}, {14, 11}, {14, 12}, {14, 17}, {14, 21}, {15, 8}, {15, 16}, {15, 18}, {15, 21}, {15, 23}, {16, 6}, {16, 11}, {16, 18}, {16, 20}, {16, 22}, {17, 2}, {17, 3}, {17, 7}, {17, 8}, {17, 10}, {17, 11}, {17, 15}, {17, 16}, {17, 19}, {17, 22}, {18, 8}, {18, 11}, {18, 20}, {18, 21}, {18, 22}, {19, 2}, {19, 4}, {19, 5}, {19, 6}, {19, 9}, {19, 11}, {19, 14}, {19, 15}, {19, 16}, {19, 18}, {20, 6}, {20, 15}, {20, 21}, {20, 22}, {20, 23}, {21, 6}, {21, 11}, {21, 16}, {21, 22}, {21, 23}, {22, 8}, {22, 11}, {22, 12}, {22, 15}, {22, 23}, {23, 6}, {23, 8}, {23, 12}, {23, 16}, {23, 18}} -> ((3*I)/1331)*(I + Sqrt[23]) +{{2, 7}, {2, 9}, {2, 13}, {2, 17}, {2, 19}, {3, 2}, {3, 10}, {3, 13}, {3, 14}, {3, 17}, {4, 2}, {4, 3}, {4, 9}, {4, 14}, {4, 19}, {5, 2}, {5, 3}, {5, 4}, {5, 10}, {5, 19}, {6, 7}, {6, 9}, {6, 10}, {6, 11}, {6, 14}, {6, 16}, {6, 19}, {6, 20}, {6, 21}, {6, 23}, {7, 3}, {7, 4}, {7, 5}, {7, 14}, {7, 17}, {8, 3}, {8, 6}, {8, 9}, {8, 10}, {8, 14}, {8, 15}, {8, 17}, {8, 18}, {8, 22}, {8, 23}, {9, 3}, {9, 5}, {9, 7}, {9, 14}, {9, 19}, {10, 2}, {10, 4}, {10, 7}, {10, 9}, {10, 17}, {11, 4}, {11, 8}, {11, 13}, {11, 14}, {11, 16}, {11, 17}, {11, 18}, {11, 19}, {11, 21}, {11, 22}, {12, 2}, {12, 5}, {12, 6}, {12, 7}, {12, 8}, {12, 11}, {12, 13}, {12, 14}, {12, 22}, {12, 23}, {13, 4}, {13, 5}, {13, 7}, {13, 9}, {13, 10}, {14, 2}, {14, 5}, {14, 10}, {14, 13}, {14, 19}, {15, 4}, {15, 5}, {15, 6}, {15, 10}, {15, 11}, {15, 12}, {15, 17}, {15, 19}, {15, 20}, {15, 22}, {16, 2}, {16, 5}, {16, 8}, {16, 9}, {16, 12}, {16, 15}, {16, 17}, {16, 19}, {16, 21}, {16, 23}, {17, 4}, {17, 5}, {17, 9}, {17, 13}, {17, 14}, {18, 3}, {18, 4}, {18, 6}, {18, 7}, {18, 12}, {18, 13}, {18, 15}, {18, 16}, {18, 19}, {18, 23}, {19, 3}, {19, 7}, {19, 10}, {19, 13}, {19, 17}, {20, 3}, {20, 5}, {20, 8}, {20, 9}, {20, 10}, {20, 11}, {20, 12}, {20, 13}, {20, 16}, {20, 18}, {21, 2}, {21, 4}, {21, 7}, {21, 8}, {21, 10}, {21, 12}, {21, 14}, {21, 15}, {21, 18}, {21, 20}, {22, 2}, {22, 3}, {22, 5}, {22, 6}, {22, 7}, {22, 16}, {22, 17}, {22, 18}, {22, 20}, {22, 21}, {23, 2}, {23, 3}, {23, 4}, {23, 9}, {23, 11}, {23, 13}, {23, 15}, {23, 20}, {23, 21}, {23, 22}} -> ((-3*I)/1331)*(-I + Sqrt[23]) diff --git a/etf_11x23_6a.tp b/etf_11x23_6a.tp new file mode 100644 index 0000000..91b9428 --- /dev/null +++ b/etf_11x23_6a.tp @@ -0,0 +1,6 @@ +{{1, 1, 1}, {2, 2, 2}, {3, 3, 3}, {4, 4, 4}, {5, 5, 5}, {6, 6, 6}, {7, 7, 7}, {8, 8, 8}, {9, 9, 9}, {10, 10, 10}, {11, 11, 11}, {12, 12, 12}, {13, 13, 13}, {14, 14, 14}, {15, 15, 15}, {16, 16, 16}, {17, 17, 17}, {18, 18, 18}, {19, 19, 19}, {20, 20, 20}, {21, 21, 21}, {22, 22, 22}, {23, 23, 23}} -> 1 +{{1, 1, 2}, {1, 1, 3}, {1, 1, 4}, {1, 1, 5}, {1, 1, 6}, {1, 1, 7}, {1, 1, 8}, {1, 1, 9}, {1, 1, 10}, {1, 1, 11}, {1, 1, 12}, {1, 1, 13}, {1, 1, 14}, {1, 1, 15}, {1, 1, 16}, {1, 1, 17}, {1, 1, 18}, {1, 1, 19}, {1, 1, 20}, {1, 1, 21}, {1, 1, 22}, {1, 1, 23}, {1, 2, 1}, {1, 2, 2}, {1, 3, 1}, {1, 3, 3}, {1, 4, 1}, {1, 4, 4}, {1, 5, 1}, {1, 5, 5}, {1, 6, 1}, {1, 6, 6}, {1, 7, 1}, {1, 7, 7}, {1, 8, 1}, {1, 8, 8}, {1, 9, 1}, {1, 9, 9}, {1, 10, 1}, {1, 10, 10}, {1, 11, 1}, {1, 11, 11}, {1, 12, 1}, {1, 12, 12}, {1, 13, 1}, {1, 13, 13}, {1, 14, 1}, {1, 14, 14}, {1, 15, 1}, {1, 15, 15}, {1, 16, 1}, {1, 16, 16}, {1, 17, 1}, {1, 17, 17}, {1, 18, 1}, {1, 18, 18}, {1, 19, 1}, {1, 19, 19}, {1, 20, 1}, {1, 20, 20}, {1, 21, 1}, {1, 21, 21}, {1, 22, 1}, {1, 22, 22}, {1, 23, 1}, {1, 23, 23}, {2, 1, 1}, {2, 1, 2}, {2, 2, 1}, {2, 2, 3}, {2, 2, 4}, {2, 2, 5}, {2, 2, 6}, {2, 2, 7}, {2, 2, 8}, {2, 2, 9}, {2, 2, 10}, {2, 2, 11}, {2, 2, 12}, {2, 2, 13}, {2, 2, 14}, {2, 2, 15}, {2, 2, 16}, {2, 2, 17}, {2, 2, 18}, {2, 2, 19}, {2, 2, 20}, {2, 2, 21}, {2, 2, 22}, {2, 2, 23}, {2, 3, 2}, {2, 3, 3}, {2, 4, 2}, {2, 4, 4}, {2, 5, 2}, {2, 5, 5}, {2, 6, 2}, {2, 6, 6}, {2, 7, 2}, {2, 7, 7}, {2, 8, 2}, {2, 8, 8}, {2, 9, 2}, {2, 9, 9}, {2, 10, 2}, {2, 10, 10}, {2, 11, 2}, {2, 11, 11}, {2, 12, 2}, {2, 12, 12}, {2, 13, 2}, {2, 13, 13}, {2, 14, 2}, {2, 14, 14}, {2, 15, 2}, {2, 15, 15}, {2, 16, 2}, {2, 16, 16}, {2, 17, 2}, {2, 17, 17}, {2, 18, 2}, {2, 18, 18}, {2, 19, 2}, {2, 19, 19}, {2, 20, 2}, {2, 20, 20}, {2, 21, 2}, {2, 21, 21}, {2, 22, 2}, {2, 22, 22}, {2, 23, 2}, {2, 23, 23}, {3, 1, 1}, {3, 1, 3}, {3, 2, 2}, {3, 2, 3}, {3, 3, 1}, {3, 3, 2}, {3, 3, 4}, {3, 3, 5}, {3, 3, 6}, {3, 3, 7}, {3, 3, 8}, {3, 3, 9}, {3, 3, 10}, {3, 3, 11}, {3, 3, 12}, {3, 3, 13}, {3, 3, 14}, {3, 3, 15}, {3, 3, 16}, {3, 3, 17}, {3, 3, 18}, {3, 3, 19}, {3, 3, 20}, {3, 3, 21}, {3, 3, 22}, {3, 3, 23}, {3, 4, 3}, {3, 4, 4}, {3, 5, 3}, {3, 5, 5}, {3, 6, 3}, {3, 6, 6}, {3, 7, 3}, {3, 7, 7}, {3, 8, 3}, {3, 8, 8}, {3, 9, 3}, {3, 9, 9}, {3, 10, 3}, {3, 10, 10}, {3, 11, 3}, {3, 11, 11}, {3, 12, 3}, {3, 12, 12}, {3, 13, 3}, {3, 13, 13}, {3, 14, 3}, {3, 14, 14}, {3, 15, 3}, {3, 15, 15}, {3, 16, 3}, {3, 16, 16}, {3, 17, 3}, {3, 17, 17}, {3, 18, 3}, {3, 18, 18}, {3, 19, 3}, {3, 19, 19}, {3, 20, 3}, {3, 20, 20}, {3, 21, 3}, {3, 21, 21}, {3, 22, 3}, {3, 22, 22}, {3, 23, 3}, {3, 23, 23}, {4, 1, 1}, {4, 1, 4}, {4, 2, 2}, {4, 2, 4}, {4, 3, 3}, {4, 3, 4}, {4, 4, 1}, {4, 4, 2}, {4, 4, 3}, {4, 4, 5}, {4, 4, 6}, {4, 4, 7}, {4, 4, 8}, {4, 4, 9}, {4, 4, 10}, {4, 4, 11}, {4, 4, 12}, {4, 4, 13}, {4, 4, 14}, {4, 4, 15}, {4, 4, 16}, {4, 4, 17}, {4, 4, 18}, {4, 4, 19}, {4, 4, 20}, {4, 4, 21}, {4, 4, 22}, {4, 4, 23}, {4, 5, 4}, {4, 5, 5}, {4, 6, 4}, {4, 6, 6}, {4, 7, 4}, {4, 7, 7}, {4, 8, 4}, {4, 8, 8}, {4, 9, 4}, {4, 9, 9}, {4, 10, 4}, {4, 10, 10}, {4, 11, 4}, {4, 11, 11}, {4, 12, 4}, {4, 12, 12}, {4, 13, 4}, {4, 13, 13}, {4, 14, 4}, {4, 14, 14}, {4, 15, 4}, {4, 15, 15}, {4, 16, 4}, {4, 16, 16}, {4, 17, 4}, {4, 17, 17}, {4, 18, 4}, {4, 18, 18}, {4, 19, 4}, {4, 19, 19}, {4, 20, 4}, {4, 20, 20}, {4, 21, 4}, {4, 21, 21}, {4, 22, 4}, {4, 22, 22}, {4, 23, 4}, {4, 23, 23}, {5, 1, 1}, {5, 1, 5}, {5, 2, 2}, {5, 2, 5}, {5, 3, 3}, {5, 3, 5}, {5, 4, 4}, {5, 4, 5}, {5, 5, 1}, {5, 5, 2}, {5, 5, 3}, {5, 5, 4}, {5, 5, 6}, {5, 5, 7}, {5, 5, 8}, {5, 5, 9}, {5, 5, 10}, {5, 5, 11}, {5, 5, 12}, {5, 5, 13}, {5, 5, 14}, {5, 5, 15}, {5, 5, 16}, {5, 5, 17}, {5, 5, 18}, {5, 5, 19}, {5, 5, 20}, {5, 5, 21}, {5, 5, 22}, {5, 5, 23}, {5, 6, 5}, {5, 6, 6}, {5, 7, 5}, {5, 7, 7}, {5, 8, 5}, {5, 8, 8}, {5, 9, 5}, {5, 9, 9}, {5, 10, 5}, {5, 10, 10}, {5, 11, 5}, {5, 11, 11}, {5, 12, 5}, {5, 12, 12}, {5, 13, 5}, {5, 13, 13}, {5, 14, 5}, {5, 14, 14}, {5, 15, 5}, {5, 15, 15}, {5, 16, 5}, {5, 16, 16}, {5, 17, 5}, {5, 17, 17}, {5, 18, 5}, {5, 18, 18}, {5, 19, 5}, {5, 19, 19}, {5, 20, 5}, {5, 20, 20}, {5, 21, 5}, {5, 21, 21}, {5, 22, 5}, {5, 22, 22}, {5, 23, 5}, {5, 23, 23}, {6, 1, 1}, {6, 1, 6}, {6, 2, 2}, {6, 2, 6}, {6, 3, 3}, {6, 3, 6}, {6, 4, 4}, {6, 4, 6}, {6, 5, 5}, {6, 5, 6}, {6, 6, 1}, {6, 6, 2}, {6, 6, 3}, {6, 6, 4}, {6, 6, 5}, {6, 6, 7}, {6, 6, 8}, {6, 6, 9}, {6, 6, 10}, {6, 6, 11}, {6, 6, 12}, {6, 6, 13}, {6, 6, 14}, {6, 6, 15}, {6, 6, 16}, {6, 6, 17}, {6, 6, 18}, {6, 6, 19}, {6, 6, 20}, {6, 6, 21}, {6, 6, 22}, {6, 6, 23}, {6, 7, 6}, {6, 7, 7}, {6, 8, 6}, {6, 8, 8}, {6, 9, 6}, {6, 9, 9}, {6, 10, 6}, {6, 10, 10}, {6, 11, 6}, {6, 11, 11}, {6, 12, 6}, {6, 12, 12}, {6, 13, 6}, {6, 13, 13}, {6, 14, 6}, {6, 14, 14}, {6, 15, 6}, {6, 15, 15}, {6, 16, 6}, {6, 16, 16}, {6, 17, 6}, {6, 17, 17}, {6, 18, 6}, {6, 18, 18}, {6, 19, 6}, {6, 19, 19}, {6, 20, 6}, {6, 20, 20}, 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16, 2}, {23, 16, 6}, {23, 16, 7}, {23, 16, 9}, {23, 16, 10}, {23, 16, 14}, {23, 16, 15}, {23, 16, 18}, {23, 16, 21}, {23, 17, 7}, {23, 17, 10}, {23, 17, 19}, {23, 17, 20}, {23, 17, 21}, {23, 18, 1}, {23, 18, 3}, {23, 18, 4}, {23, 18, 5}, {23, 18, 8}, {23, 18, 10}, {23, 18, 13}, {23, 18, 14}, {23, 18, 15}, {23, 18, 17}, {23, 19, 5}, {23, 19, 14}, {23, 19, 20}, {23, 19, 21}, {23, 19, 22}, {23, 20, 5}, {23, 20, 10}, {23, 20, 15}, {23, 20, 21}, {23, 20, 22}, {23, 21, 7}, {23, 21, 10}, {23, 21, 11}, {23, 21, 14}, {23, 21, 22}, {23, 22, 5}, {23, 22, 7}, {23, 22, 11}, {23, 22, 15}, {23, 22, 17}} -> ((3*I)/1331)*(I + Sqrt[23]) +{{1, 2, 7}, {1, 2, 9}, {1, 2, 13}, {1, 2, 17}, {1, 2, 19}, {1, 3, 2}, {1, 3, 10}, {1, 3, 13}, {1, 3, 14}, {1, 3, 17}, {1, 4, 2}, {1, 4, 3}, {1, 4, 9}, {1, 4, 14}, {1, 4, 19}, {1, 5, 2}, {1, 5, 3}, {1, 5, 4}, {1, 5, 10}, {1, 5, 19}, {1, 6, 7}, {1, 6, 9}, {1, 6, 10}, {1, 6, 11}, {1, 6, 14}, {1, 6, 16}, {1, 6, 19}, {1, 6, 20}, {1, 6, 21}, {1, 6, 23}, {1, 7, 3}, {1, 7, 4}, {1, 7, 5}, {1, 7, 14}, {1, 7, 17}, {1, 8, 3}, {1, 8, 6}, {1, 8, 9}, {1, 8, 10}, {1, 8, 14}, {1, 8, 15}, {1, 8, 17}, {1, 8, 18}, {1, 8, 22}, {1, 8, 23}, {1, 9, 3}, {1, 9, 5}, {1, 9, 7}, {1, 9, 14}, {1, 9, 19}, {1, 10, 2}, {1, 10, 4}, {1, 10, 7}, {1, 10, 9}, {1, 10, 17}, {1, 11, 4}, {1, 11, 8}, {1, 11, 13}, {1, 11, 14}, {1, 11, 16}, {1, 11, 17}, {1, 11, 18}, {1, 11, 19}, {1, 11, 21}, {1, 11, 22}, {1, 12, 2}, {1, 12, 5}, {1, 12, 6}, {1, 12, 7}, {1, 12, 8}, {1, 12, 11}, {1, 12, 13}, {1, 12, 14}, {1, 12, 22}, {1, 12, 23}, {1, 13, 4}, {1, 13, 5}, {1, 13, 7}, {1, 13, 9}, {1, 13, 10}, {1, 14, 2}, {1, 14, 5}, {1, 14, 10}, {1, 14, 13}, {1, 14, 19}, {1, 15, 4}, {1, 15, 5}, {1, 15, 6}, {1, 15, 10}, {1, 15, 11}, {1, 15, 12}, {1, 15, 17}, {1, 15, 19}, {1, 15, 20}, {1, 15, 22}, {1, 16, 2}, {1, 16, 5}, {1, 16, 8}, {1, 16, 9}, {1, 16, 12}, {1, 16, 15}, {1, 16, 17}, {1, 16, 19}, {1, 16, 21}, {1, 16, 23}, {1, 17, 4}, {1, 17, 5}, {1, 17, 9}, {1, 17, 13}, {1, 17, 14}, {1, 18, 3}, {1, 18, 4}, {1, 18, 6}, {1, 18, 7}, {1, 18, 12}, {1, 18, 13}, {1, 18, 15}, {1, 18, 16}, {1, 18, 19}, {1, 18, 23}, {1, 19, 3}, {1, 19, 7}, {1, 19, 10}, {1, 19, 13}, {1, 19, 17}, {1, 20, 3}, {1, 20, 5}, {1, 20, 8}, {1, 20, 9}, {1, 20, 10}, {1, 20, 11}, {1, 20, 12}, {1, 20, 13}, {1, 20, 16}, {1, 20, 18}, {1, 21, 2}, {1, 21, 4}, {1, 21, 7}, {1, 21, 8}, {1, 21, 10}, {1, 21, 12}, {1, 21, 14}, {1, 21, 15}, {1, 21, 18}, {1, 21, 20}, {1, 22, 2}, {1, 22, 3}, {1, 22, 5}, {1, 22, 6}, {1, 22, 7}, {1, 22, 16}, {1, 22, 17}, {1, 22, 18}, {1, 22, 20}, {1, 22, 21}, {1, 23, 2}, {1, 23, 3}, {1, 23, 4}, {1, 23, 9}, {1, 23, 11}, {1, 23, 13}, {1, 23, 15}, {1, 23, 20}, {1, 23, 21}, {1, 23, 22}, {2, 1, 3}, {2, 1, 4}, {2, 1, 5}, {2, 1, 10}, {2, 1, 12}, {2, 1, 14}, {2, 1, 16}, {2, 1, 21}, {2, 1, 22}, {2, 1, 23}, {2, 3, 8}, {2, 3, 10}, {2, 3, 14}, {2, 3, 18}, {2, 3, 20}, {2, 4, 3}, {2, 4, 11}, {2, 4, 14}, {2, 4, 15}, {2, 4, 18}, {2, 5, 3}, {2, 5, 4}, {2, 5, 10}, {2, 5, 15}, {2, 5, 20}, {2, 6, 3}, {2, 6, 4}, {2, 6, 5}, {2, 6, 11}, {2, 6, 20}, {2, 7, 1}, {2, 7, 8}, {2, 7, 10}, {2, 7, 11}, {2, 7, 12}, {2, 7, 15}, {2, 7, 17}, {2, 7, 20}, {2, 7, 21}, {2, 7, 22}, {2, 8, 4}, {2, 8, 5}, {2, 8, 6}, {2, 8, 15}, {2, 8, 18}, {2, 9, 1}, {2, 9, 4}, {2, 9, 7}, {2, 9, 10}, {2, 9, 11}, {2, 9, 15}, {2, 9, 16}, {2, 9, 18}, {2, 9, 19}, {2, 9, 23}, {2, 10, 4}, {2, 10, 6}, {2, 10, 8}, {2, 10, 15}, {2, 10, 20}, {2, 11, 3}, {2, 11, 5}, {2, 11, 8}, {2, 11, 10}, {2, 11, 18}, {2, 12, 5}, {2, 12, 9}, {2, 12, 14}, {2, 12, 15}, {2, 12, 17}, {2, 12, 18}, {2, 12, 19}, {2, 12, 20}, {2, 12, 22}, {2, 12, 23}, {2, 13, 1}, {2, 13, 3}, {2, 13, 6}, {2, 13, 7}, {2, 13, 8}, {2, 13, 9}, {2, 13, 12}, {2, 13, 14}, {2, 13, 15}, {2, 13, 23}, {2, 14, 5}, {2, 14, 6}, {2, 14, 8}, {2, 14, 10}, {2, 14, 11}, {2, 15, 3}, {2, 15, 6}, {2, 15, 11}, {2, 15, 14}, {2, 15, 20}, {2, 16, 5}, {2, 16, 6}, {2, 16, 7}, {2, 16, 11}, {2, 16, 12}, {2, 16, 13}, {2, 16, 18}, {2, 16, 20}, {2, 16, 21}, {2, 16, 23}, {2, 17, 1}, {2, 17, 3}, {2, 17, 6}, {2, 17, 9}, {2, 17, 10}, {2, 17, 13}, {2, 17, 16}, {2, 17, 18}, {2, 17, 20}, {2, 17, 22}, {2, 18, 5}, {2, 18, 6}, {2, 18, 10}, {2, 18, 14}, {2, 18, 15}, {2, 19, 1}, {2, 19, 4}, {2, 19, 5}, {2, 19, 7}, {2, 19, 8}, {2, 19, 13}, {2, 19, 14}, {2, 19, 16}, {2, 19, 17}, {2, 19, 20}, {2, 20, 4}, {2, 20, 8}, {2, 20, 11}, {2, 20, 14}, {2, 20, 18}, {2, 21, 4}, {2, 21, 6}, {2, 21, 9}, {2, 21, 10}, {2, 21, 11}, {2, 21, 12}, {2, 21, 13}, {2, 21, 14}, {2, 21, 17}, {2, 21, 19}, {2, 22, 3}, {2, 22, 5}, {2, 22, 8}, {2, 22, 9}, {2, 22, 11}, {2, 22, 13}, {2, 22, 15}, {2, 22, 16}, {2, 22, 19}, {2, 22, 21}, {2, 23, 3}, {2, 23, 4}, {2, 23, 6}, {2, 23, 7}, {2, 23, 8}, {2, 23, 17}, {2, 23, 18}, {2, 23, 19}, {2, 23, 21}, {2, 23, 22}, {3, 1, 4}, {3, 1, 5}, {3, 1, 7}, {3, 1, 8}, {3, 1, 9}, {3, 1, 18}, {3, 1, 19}, {3, 1, 20}, {3, 1, 22}, {3, 1, 23}, {3, 2, 1}, {3, 2, 4}, {3, 2, 5}, {3, 2, 6}, {3, 2, 11}, {3, 2, 13}, {3, 2, 15}, {3, 2, 17}, {3, 2, 22}, {3, 2, 23}, {3, 4, 9}, {3, 4, 11}, {3, 4, 15}, {3, 4, 19}, {3, 4, 21}, {3, 5, 4}, {3, 5, 12}, {3, 5, 15}, {3, 5, 16}, {3, 5, 19}, {3, 6, 4}, {3, 6, 5}, {3, 6, 11}, {3, 6, 16}, {3, 6, 21}, {3, 7, 4}, {3, 7, 5}, {3, 7, 6}, {3, 7, 12}, {3, 7, 21}, {3, 8, 2}, {3, 8, 9}, {3, 8, 11}, {3, 8, 12}, {3, 8, 13}, {3, 8, 16}, {3, 8, 18}, {3, 8, 21}, {3, 8, 22}, {3, 8, 23}, {3, 9, 5}, {3, 9, 6}, {3, 9, 7}, {3, 9, 16}, {3, 9, 19}, {3, 10, 1}, {3, 10, 2}, {3, 10, 5}, {3, 10, 8}, {3, 10, 11}, {3, 10, 12}, {3, 10, 16}, {3, 10, 17}, {3, 10, 19}, {3, 10, 20}, {3, 11, 5}, {3, 11, 7}, {3, 11, 9}, {3, 11, 16}, {3, 11, 21}, {3, 12, 4}, {3, 12, 6}, {3, 12, 9}, {3, 12, 11}, {3, 12, 19}, {3, 13, 1}, {3, 13, 6}, {3, 13, 10}, {3, 13, 15}, {3, 13, 16}, {3, 13, 18}, {3, 13, 19}, {3, 13, 20}, {3, 13, 21}, {3, 13, 23}, {3, 14, 1}, {3, 14, 2}, {3, 14, 4}, {3, 14, 7}, {3, 14, 8}, {3, 14, 9}, {3, 14, 10}, {3, 14, 13}, {3, 14, 15}, {3, 14, 16}, {3, 15, 6}, {3, 15, 7}, {3, 15, 9}, {3, 15, 11}, {3, 15, 12}, {3, 16, 4}, {3, 16, 7}, {3, 16, 12}, {3, 16, 15}, {3, 16, 21}, {3, 17, 1}, {3, 17, 6}, {3, 17, 7}, {3, 17, 8}, {3, 17, 12}, {3, 17, 13}, {3, 17, 14}, {3, 17, 19}, {3, 17, 21}, {3, 17, 22}, {3, 18, 2}, {3, 18, 4}, {3, 18, 7}, {3, 18, 10}, {3, 18, 11}, {3, 18, 14}, {3, 18, 17}, {3, 18, 19}, {3, 18, 21}, {3, 18, 23}, {3, 19, 6}, {3, 19, 7}, {3, 19, 11}, {3, 19, 15}, {3, 19, 16}, {3, 20, 2}, {3, 20, 5}, {3, 20, 6}, {3, 20, 8}, {3, 20, 9}, {3, 20, 14}, {3, 20, 15}, {3, 20, 17}, {3, 20, 18}, {3, 20, 21}, {3, 21, 5}, {3, 21, 9}, {3, 21, 12}, {3, 21, 15}, {3, 21, 19}, {3, 22, 5}, {3, 22, 7}, {3, 22, 10}, {3, 22, 11}, {3, 22, 12}, {3, 22, 13}, {3, 22, 14}, {3, 22, 15}, {3, 22, 18}, {3, 22, 20}, {3, 23, 4}, {3, 23, 6}, {3, 23, 9}, {3, 23, 10}, {3, 23, 12}, {3, 23, 14}, {3, 23, 16}, {3, 23, 17}, {3, 23, 20}, {3, 23, 22}, {4, 1, 5}, {4, 1, 7}, {4, 1, 10}, {4, 1, 11}, {4, 1, 13}, {4, 1, 15}, {4, 1, 17}, {4, 1, 18}, {4, 1, 21}, {4, 1, 23}, {4, 2, 1}, {4, 2, 5}, {4, 2, 6}, {4, 2, 8}, {4, 2, 9}, {4, 2, 10}, {4, 2, 19}, {4, 2, 20}, {4, 2, 21}, {4, 2, 23}, {4, 3, 1}, {4, 3, 2}, {4, 3, 5}, {4, 3, 6}, {4, 3, 7}, {4, 3, 12}, {4, 3, 14}, {4, 3, 16}, {4, 3, 18}, {4, 3, 23}, {4, 5, 10}, {4, 5, 12}, {4, 5, 16}, {4, 5, 20}, {4, 5, 22}, {4, 6, 5}, {4, 6, 13}, {4, 6, 16}, {4, 6, 17}, {4, 6, 20}, {4, 7, 5}, {4, 7, 6}, {4, 7, 12}, {4, 7, 17}, {4, 7, 22}, {4, 8, 5}, {4, 8, 6}, {4, 8, 7}, {4, 8, 13}, {4, 8, 22}, {4, 9, 1}, {4, 9, 3}, {4, 9, 10}, {4, 9, 12}, {4, 9, 13}, {4, 9, 14}, {4, 9, 17}, {4, 9, 19}, {4, 9, 22}, {4, 9, 23}, {4, 10, 6}, {4, 10, 7}, {4, 10, 8}, {4, 10, 17}, {4, 10, 20}, {4, 11, 2}, {4, 11, 3}, {4, 11, 6}, {4, 11, 9}, {4, 11, 12}, {4, 11, 13}, {4, 11, 17}, {4, 11, 18}, {4, 11, 20}, {4, 11, 21}, {4, 12, 6}, {4, 12, 8}, {4, 12, 10}, {4, 12, 17}, {4, 12, 22}, {4, 13, 5}, {4, 13, 7}, {4, 13, 10}, {4, 13, 12}, {4, 13, 20}, {4, 14, 1}, {4, 14, 2}, {4, 14, 7}, {4, 14, 11}, {4, 14, 16}, {4, 14, 17}, {4, 14, 19}, {4, 14, 20}, {4, 14, 21}, {4, 14, 22}, {4, 15, 2}, {4, 15, 3}, {4, 15, 5}, {4, 15, 8}, {4, 15, 9}, {4, 15, 10}, {4, 15, 11}, {4, 15, 14}, {4, 15, 16}, {4, 15, 17}, {4, 16, 7}, {4, 16, 8}, {4, 16, 10}, {4, 16, 12}, {4, 16, 13}, {4, 17, 5}, {4, 17, 8}, {4, 17, 13}, {4, 17, 16}, {4, 17, 22}, {4, 18, 2}, {4, 18, 7}, {4, 18, 8}, {4, 18, 9}, {4, 18, 13}, {4, 18, 14}, {4, 18, 15}, {4, 18, 20}, {4, 18, 22}, {4, 18, 23}, {4, 19, 1}, {4, 19, 3}, {4, 19, 5}, {4, 19, 8}, {4, 19, 11}, {4, 19, 12}, {4, 19, 15}, {4, 19, 18}, {4, 19, 20}, {4, 19, 22}, {4, 20, 7}, {4, 20, 8}, {4, 20, 12}, {4, 20, 16}, {4, 20, 17}, {4, 21, 3}, {4, 21, 6}, {4, 21, 7}, {4, 21, 9}, {4, 21, 10}, {4, 21, 15}, {4, 21, 16}, {4, 21, 18}, {4, 21, 19}, {4, 21, 22}, {4, 22, 6}, {4, 22, 10}, {4, 22, 13}, {4, 22, 16}, {4, 22, 20}, {4, 23, 6}, {4, 23, 8}, {4, 23, 11}, {4, 23, 12}, {4, 23, 13}, {4, 23, 14}, {4, 23, 15}, {4, 23, 16}, {4, 23, 19}, {4, 23, 21}, {5, 1, 7}, {5, 1, 9}, {5, 1, 12}, {5, 1, 13}, {5, 1, 14}, {5, 1, 15}, {5, 1, 16}, {5, 1, 17}, {5, 1, 20}, {5, 1, 22}, {5, 2, 1}, {5, 2, 6}, {5, 2, 8}, {5, 2, 11}, {5, 2, 12}, {5, 2, 14}, {5, 2, 16}, {5, 2, 18}, {5, 2, 19}, {5, 2, 22}, {5, 3, 1}, {5, 3, 2}, {5, 3, 6}, {5, 3, 7}, {5, 3, 9}, {5, 3, 10}, {5, 3, 11}, {5, 3, 20}, {5, 3, 21}, {5, 3, 22}, {5, 4, 1}, {5, 4, 2}, {5, 4, 3}, {5, 4, 6}, {5, 4, 7}, {5, 4, 8}, {5, 4, 13}, {5, 4, 15}, {5, 4, 17}, {5, 4, 19}, {5, 6, 11}, {5, 6, 13}, {5, 6, 17}, {5, 6, 21}, {5, 6, 23}, {5, 7, 6}, {5, 7, 14}, {5, 7, 17}, {5, 7, 18}, {5, 7, 21}, {5, 8, 6}, {5, 8, 7}, {5, 8, 13}, {5, 8, 18}, {5, 8, 23}, {5, 9, 6}, {5, 9, 7}, {5, 9, 8}, {5, 9, 14}, {5, 9, 23}, {5, 10, 1}, {5, 10, 2}, {5, 10, 4}, {5, 10, 11}, {5, 10, 13}, {5, 10, 14}, {5, 10, 15}, {5, 10, 18}, {5, 10, 20}, {5, 10, 23}, {5, 11, 7}, {5, 11, 8}, {5, 11, 9}, {5, 11, 18}, {5, 11, 21}, {5, 12, 3}, {5, 12, 4}, {5, 12, 7}, {5, 12, 10}, {5, 12, 13}, {5, 12, 14}, {5, 12, 18}, {5, 12, 19}, {5, 12, 21}, {5, 12, 22}, {5, 13, 7}, {5, 13, 9}, {5, 13, 11}, {5, 13, 18}, {5, 13, 23}, {5, 14, 6}, {5, 14, 8}, {5, 14, 11}, {5, 14, 13}, {5, 14, 21}, {5, 15, 2}, {5, 15, 3}, {5, 15, 8}, {5, 15, 12}, {5, 15, 17}, {5, 15, 18}, {5, 15, 20}, {5, 15, 21}, {5, 15, 22}, {5, 15, 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1}, {23, 11, 4}, {23, 11, 5}, {23, 11, 6}, {23, 11, 7}, {23, 11, 10}, {23, 11, 12}, {23, 11, 13}, {23, 11, 21}, {23, 11, 22}, {23, 12, 3}, {23, 12, 4}, {23, 12, 6}, {23, 12, 8}, {23, 12, 9}, {23, 13, 1}, {23, 13, 4}, {23, 13, 9}, {23, 13, 12}, {23, 13, 18}, {23, 14, 3}, {23, 14, 4}, {23, 14, 5}, {23, 14, 9}, {23, 14, 10}, {23, 14, 11}, {23, 14, 16}, {23, 14, 18}, {23, 14, 19}, {23, 14, 21}, {23, 15, 1}, {23, 15, 4}, {23, 15, 7}, {23, 15, 8}, {23, 15, 11}, {23, 15, 14}, {23, 15, 16}, {23, 15, 18}, {23, 15, 20}, {23, 15, 22}, {23, 16, 3}, {23, 16, 4}, {23, 16, 8}, {23, 16, 12}, {23, 16, 13}, {23, 17, 2}, {23, 17, 3}, {23, 17, 5}, {23, 17, 6}, {23, 17, 11}, {23, 17, 12}, {23, 17, 14}, {23, 17, 15}, {23, 17, 18}, {23, 17, 22}, {23, 18, 2}, {23, 18, 6}, {23, 18, 9}, {23, 18, 12}, {23, 18, 16}, {23, 19, 2}, {23, 19, 4}, {23, 19, 7}, {23, 19, 8}, {23, 19, 9}, {23, 19, 10}, {23, 19, 11}, {23, 19, 12}, {23, 19, 15}, {23, 19, 17}, {23, 20, 1}, {23, 20, 3}, {23, 20, 6}, {23, 20, 7}, {23, 20, 9}, {23, 20, 11}, {23, 20, 13}, {23, 20, 14}, {23, 20, 17}, {23, 20, 19}, {23, 21, 1}, {23, 21, 2}, {23, 21, 4}, {23, 21, 5}, {23, 21, 6}, {23, 21, 15}, {23, 21, 16}, {23, 21, 17}, {23, 21, 19}, {23, 21, 20}, {23, 22, 1}, {23, 22, 2}, {23, 22, 3}, {23, 22, 8}, {23, 22, 10}, {23, 22, 12}, {23, 22, 14}, {23, 22, 19}, {23, 22, 20}, {23, 22, 21}} -> ((-3*I)/1331)*(-I + Sqrt[23]) diff --git a/etf_15x31_6a.exa b/etf_15x31_6a.exa new file mode 100644 index 0000000..bb1ca7f --- /dev/null +++ b/etf_15x31_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}} -> 8/225 +{{2, 4}, {2, 7}, {2, 12}, {2, 16}, {2, 18}, {2, 22}, {2, 27}, {2, 30}, {3, 4}, {3, 7}, {3, 12}, {3, 13}, {3, 22}, {3, 23}, {3, 28}, {3, 31}, {5, 7}, {5, 12}, {5, 13}, {5, 14}, {5, 23}, {5, 24}, {5, 25}, {5, 30}, {6, 7}, {6, 13}, {6, 14}, {6, 16}, {6, 22}, {6, 24}, {6, 25}, {6, 31}, {8, 12}, {8, 13}, {8, 16}, {8, 18}, {8, 22}, {8, 24}, {8, 27}, {8, 28}, {9, 13}, {9, 14}, {9, 16}, {9, 18}, {9, 23}, {9, 25}, {9, 27}, {9, 28}, {10, 4}, {10, 7}, {10, 12}, {10, 14}, {10, 18}, {10, 24}, {10, 28}, {10, 30}, {11, 12}, {11, 13}, {11, 16}, {11, 18}, {11, 25}, {11, 27}, {11, 30}, {11, 31}, {15, 4}, {15, 12}, {15, 16}, {15, 22}, {15, 23}, {15, 24}, {15, 25}, {15, 31}, {17, 4}, {17, 14}, {17, 18}, {17, 22}, {17, 24}, {17, 25}, {17, 27}, {17, 31}, {19, 4}, {19, 7}, {19, 13}, {19, 16}, {19, 23}, {19, 24}, {19, 27}, {19, 28}, {20, 7}, {20, 14}, {20, 22}, {20, 24}, {20, 25}, {20, 27}, {20, 28}, {20, 30}, {21, 4}, {21, 18}, {21, 22}, {21, 23}, {21, 25}, {21, 28}, {21, 30}, {21, 31}, {26, 4}, {26, 13}, {26, 14}, {26, 23}, {26, 27}, {26, 28}, {26, 30}, {26, 31}, {29, 7}, {29, 12}, {29, 14}, {29, 16}, {29, 18}, {29, 23}, {29, 30}, {29, 31}} -> (23 + (7*I)*Sqrt[31])/6750 +{{4, 2}, {4, 3}, {4, 10}, {4, 15}, {4, 17}, {4, 19}, {4, 21}, {4, 26}, {7, 2}, {7, 3}, {7, 5}, {7, 6}, {7, 10}, {7, 19}, {7, 20}, {7, 29}, {12, 2}, {12, 3}, {12, 5}, {12, 8}, {12, 10}, {12, 11}, {12, 15}, {12, 29}, {13, 3}, {13, 5}, {13, 6}, {13, 8}, {13, 9}, {13, 11}, {13, 19}, {13, 26}, {14, 5}, {14, 6}, {14, 9}, {14, 10}, {14, 17}, {14, 20}, {14, 26}, {14, 29}, {16, 2}, {16, 6}, {16, 8}, {16, 9}, {16, 11}, {16, 15}, {16, 19}, {16, 29}, {18, 2}, {18, 8}, {18, 9}, {18, 10}, {18, 11}, {18, 17}, {18, 21}, {18, 29}, {22, 2}, {22, 3}, {22, 6}, {22, 8}, {22, 15}, {22, 17}, {22, 20}, {22, 21}, {23, 3}, {23, 5}, {23, 9}, {23, 15}, {23, 19}, {23, 21}, {23, 26}, {23, 29}, {24, 5}, {24, 6}, {24, 8}, {24, 10}, {24, 15}, {24, 17}, {24, 19}, {24, 20}, {25, 5}, {25, 6}, {25, 9}, {25, 11}, {25, 15}, {25, 17}, {25, 20}, {25, 21}, {27, 2}, {27, 8}, {27, 9}, {27, 11}, {27, 17}, {27, 19}, {27, 20}, {27, 26}, {28, 3}, {28, 8}, {28, 9}, {28, 10}, {28, 19}, {28, 20}, {28, 21}, {28, 26}, {30, 2}, {30, 5}, {30, 10}, {30, 11}, {30, 20}, {30, 21}, {30, 26}, {30, 29}, {31, 3}, {31, 6}, {31, 11}, {31, 15}, {31, 17}, {31, 21}, {31, 26}, {31, 29}} -> (23 - (7*I)*Sqrt[31])/6750 +{{2, 3}, {2, 6}, {2, 9}, {2, 10}, {2, 11}, {2, 13}, {2, 14}, {2, 20}, {2, 21}, {2, 23}, {2, 24}, {2, 25}, {2, 28}, {2, 31}, {3, 5}, {3, 8}, {3, 10}, {3, 11}, {3, 14}, {3, 16}, {3, 17}, {3, 18}, {3, 19}, {3, 21}, {3, 24}, {3, 25}, {3, 27}, {3, 30}, {4, 12}, {4, 13}, {4, 14}, {4, 18}, {4, 22}, {4, 23}, {4, 24}, {5, 2}, {5, 4}, {5, 6}, {5, 9}, {5, 10}, {5, 15}, {5, 16}, {5, 18}, {5, 19}, {5, 21}, {5, 22}, {5, 27}, {5, 28}, {5, 31}, {6, 3}, {6, 4}, {6, 8}, {6, 10}, {6, 11}, {6, 12}, {6, 15}, {6, 18}, {6, 20}, {6, 23}, {6, 26}, {6, 27}, {6, 28}, {6, 30}, {7, 4}, {7, 12}, {7, 14}, {7, 16}, {7, 23}, {7, 25}, {7, 27}, {8, 2}, {8, 4}, {8, 5}, {8, 7}, {8, 9}, {8, 10}, {8, 14}, {8, 15}, {8, 17}, {8, 23}, {8, 25}, {8, 26}, {8, 30}, {8, 31}, {9, 3}, {9, 4}, {9, 6}, {9, 7}, {9, 10}, {9, 11}, {9, 12}, {9, 17}, {9, 19}, {9, 22}, {9, 24}, {9, 29}, {9, 30}, {9, 31}, {10, 11}, {10, 13}, {10, 15}, {10, 16}, {10, 17}, {10, 19}, {10, 20}, {10, 22}, {10, 23}, {10, 25}, {10, 26}, {10, 27}, {10, 29}, {10, 31}, {11, 4}, {11, 5}, {11, 7}, {11, 8}, {11, 14}, {11, 15}, {11, 19}, {11, 20}, {11, 21}, {11, 22}, {11, 23}, {11, 24}, {11, 28}, {11, 29}, {12, 13}, {12, 14}, {12, 16}, {12, 22}, {12, 28}, {12, 30}, {12, 31}, {13, 7}, {13, 14}, {13, 18}, {13, 22}, {13, 23}, {13, 27}, {13, 31}, {14, 16}, {14, 18}, {14, 22}, {14, 23}, {14, 24}, {14, 28}, {14, 30}, {15, 2}, {15, 3}, {15, 7}, {15, 9}, {15, 13}, {15, 14}, {15, 17}, {15, 18}, {15, 19}, {15, 20}, {15, 27}, {15, 28}, {15, 29}, {15, 30}, {16, 4}, {16, 13}, {16, 18}, {16, 23}, {16, 24}, {16, 25}, {16, 30}, {17, 2}, {17, 5}, {17, 6}, {17, 7}, {17, 11}, {17, 12}, {17, 13}, {17, 16}, {17, 19}, {17, 21}, {17, 23}, {17, 26}, {17, 28}, {17, 30}, {18, 7}, {18, 12}, {18, 22}, {18, 23}, {18, 25}, {18, 27}, {18, 28}, {19, 2}, {19, 6}, {19, 8}, {19, 12}, {19, 14}, {19, 18}, {19, 20}, {19, 21}, {19, 22}, {19, 25}, {19, 26}, {19, 29}, {19, 30}, {19, 31}, {20, 3}, {20, 4}, {20, 5}, {20, 8}, {20, 9}, {20, 12}, {20, 13}, {20, 16}, {20, 17}, {20, 18}, {20, 21}, {20, 23}, {20, 29}, {20, 31}, {21, 6}, {21, 7}, {21, 8}, {21, 9}, {21, 10}, {21, 12}, {21, 13}, {21, 14}, {21, 15}, {21, 16}, {21, 24}, {21, 26}, {21, 27}, {21, 29}, {22, 7}, {22, 16}, {22, 23}, {22, 24}, {22, 27}, {22, 30}, {22, 31}, {23, 12}, {23, 24}, {23, 25}, {23, 27}, {23, 28}, {23, 30}, {23, 31}, {24, 7}, {24, 12}, {24, 13}, {24, 18}, {24, 25}, {24, 28}, {24, 31}, {25, 4}, {25, 12}, {25, 13}, {25, 14}, {25, 22}, {25, 27}, {25, 30}, {26, 2}, {26, 3}, {26, 5}, {26, 7}, {26, 9}, {26, 11}, {26, 12}, {26, 15}, {26, 16}, {26, 18}, {26, 20}, {26, 22}, {26, 24}, {26, 25}, {27, 4}, {27, 12}, {27, 14}, {27, 16}, {27, 24}, {27, 28}, {27, 31}, {28, 4}, {28, 7}, {28, 13}, {28, 16}, {28, 22}, {28, 25}, {28, 30}, {29, 2}, {29, 3}, {29, 4}, {29, 5}, {29, 6}, {29, 8}, {29, 13}, {29, 17}, {29, 22}, {29, 24}, {29, 25}, {29, 26}, {29, 27}, {29, 28}, {30, 4}, {30, 7}, {30, 13}, {30, 18}, {30, 24}, {30, 27}, {30, 31}, {31, 4}, {31, 7}, {31, 14}, {31, 16}, {31, 18}, {31, 25}, {31, 28}} -> ((4*I)/3375)*(I + Sqrt[31]) +{{2, 5}, {2, 8}, {2, 15}, {2, 17}, {2, 19}, {2, 26}, {2, 29}, {3, 2}, {3, 6}, {3, 9}, {3, 15}, {3, 20}, {3, 26}, {3, 29}, {4, 5}, {4, 6}, {4, 7}, {4, 8}, {4, 9}, {4, 11}, {4, 16}, {4, 20}, {4, 25}, {4, 27}, {4, 28}, {4, 29}, {4, 30}, {4, 31}, {5, 3}, {5, 8}, {5, 11}, {5, 17}, {5, 20}, {5, 26}, {5, 29}, {6, 2}, {6, 5}, {6, 9}, {6, 17}, {6, 19}, {6, 21}, {6, 29}, {7, 8}, {7, 9}, {7, 11}, {7, 13}, {7, 15}, {7, 17}, {7, 18}, {7, 21}, {7, 22}, {7, 24}, {7, 26}, {7, 28}, {7, 30}, {7, 31}, {8, 3}, {8, 6}, {8, 11}, {8, 19}, {8, 20}, {8, 21}, {8, 29}, {9, 2}, {9, 5}, {9, 8}, {9, 15}, {9, 20}, {9, 21}, {9, 26}, {10, 2}, {10, 3}, {10, 5}, {10, 6}, {10, 8}, {10, 9}, {10, 21}, {11, 2}, {11, 3}, {11, 6}, {11, 9}, {11, 10}, {11, 17}, {11, 26}, {12, 4}, {12, 6}, {12, 7}, {12, 9}, {12, 17}, {12, 18}, {12, 19}, {12, 20}, {12, 21}, {12, 23}, {12, 24}, {12, 25}, {12, 26}, {12, 27}, {13, 2}, {13, 4}, {13, 10}, {13, 12}, {13, 15}, {13, 16}, {13, 17}, {13, 20}, {13, 21}, {13, 24}, {13, 25}, {13, 28}, {13, 29}, {13, 30}, {14, 2}, {14, 3}, {14, 4}, {14, 7}, {14, 8}, {14, 11}, {14, 12}, {14, 13}, {14, 15}, {14, 19}, {14, 21}, {14, 25}, {14, 27}, {14, 31}, {15, 5}, {15, 6}, {15, 8}, {15, 10}, {15, 11}, {15, 21}, {15, 26}, {16, 3}, {16, 5}, {16, 7}, {16, 10}, {16, 12}, {16, 14}, {16, 17}, {16, 20}, {16, 21}, {16, 22}, {16, 26}, {16, 27}, {16, 28}, {16, 31}, {17, 3}, {17, 8}, {17, 9}, {17, 10}, {17, 15}, {17, 20}, {17, 29}, {18, 3}, {18, 4}, {18, 5}, {18, 6}, {18, 13}, {18, 14}, {18, 15}, {18, 16}, {18, 19}, {18, 20}, {18, 24}, {18, 26}, {18, 30}, {18, 31}, {19, 3}, {19, 5}, {19, 9}, {19, 10}, {19, 11}, {19, 15}, {19, 17}, {20, 2}, {20, 6}, {20, 10}, {20, 11}, {20, 15}, {20, 19}, {20, 26}, {21, 2}, {21, 3}, {21, 5}, {21, 11}, {21, 17}, {21, 19}, {21, 20}, {22, 4}, {22, 5}, {22, 9}, {22, 10}, {22, 11}, {22, 12}, {22, 13}, {22, 14}, {22, 18}, {22, 19}, {22, 25}, {22, 26}, {22, 28}, {22, 29}, {23, 2}, {23, 4}, {23, 6}, {23, 7}, {23, 8}, {23, 10}, {23, 11}, {23, 13}, {23, 14}, {23, 16}, {23, 17}, {23, 18}, {23, 20}, {23, 22}, {24, 2}, {24, 3}, {24, 4}, {24, 9}, {24, 11}, {24, 14}, {24, 16}, {24, 21}, {24, 22}, {24, 23}, {24, 26}, {24, 27}, {24, 29}, {24, 30}, {25, 2}, {25, 3}, {25, 7}, {25, 8}, {25, 10}, {25, 16}, {25, 18}, {25, 19}, {25, 23}, {25, 24}, {25, 26}, {25, 28}, {25, 29}, {25, 31}, {26, 6}, {26, 8}, {26, 10}, {26, 17}, {26, 19}, {26, 21}, {26, 29}, {27, 3}, {27, 5}, {27, 6}, {27, 7}, {27, 10}, {27, 13}, {27, 15}, {27, 18}, {27, 21}, {27, 22}, {27, 23}, {27, 25}, {27, 29}, {27, 30}, {28, 2}, {28, 5}, {28, 6}, {28, 11}, {28, 12}, {28, 14}, {28, 15}, {28, 17}, {28, 18}, {28, 23}, {28, 24}, {28, 27}, {28, 29}, {28, 31}, {29, 9}, {29, 10}, {29, 11}, {29, 15}, {29, 19}, {29, 20}, {29, 21}, {30, 3}, {30, 6}, {30, 8}, {30, 9}, {30, 12}, {30, 14}, {30, 15}, {30, 16}, {30, 17}, {30, 19}, {30, 22}, {30, 23}, {30, 25}, {30, 28}, {31, 2}, {31, 5}, {31, 8}, {31, 9}, {31, 10}, {31, 12}, {31, 13}, {31, 19}, {31, 20}, {31, 22}, {31, 23}, {31, 24}, {31, 27}, {31, 30}} -> ((-4*I)/3375)*(-I + Sqrt[31]) diff --git a/etf_15x31_6a.tp b/etf_15x31_6a.tp new file mode 100644 index 0000000..563ff63 --- /dev/null +++ b/etf_15x31_6a.tp @@ -0,0 +1,6 @@ +{{1, 1, 1}, {2, 2, 2}, {3, 3, 3}, {4, 4, 4}, {5, 5, 5}, {6, 6, 6}, {7, 7, 7}, {8, 8, 8}, {9, 9, 9}, {10, 10, 10}, {11, 11, 11}, {12, 12, 12}, {13, 13, 13}, {14, 14, 14}, {15, 15, 15}, {16, 16, 16}, {17, 17, 17}, {18, 18, 18}, {19, 19, 19}, {20, 20, 20}, {21, 21, 21}, {22, 22, 22}, {23, 23, 23}, {24, 24, 24}, {25, 25, 25}, {26, 26, 26}, {27, 27, 27}, {28, 28, 28}, {29, 29, 29}, {30, 30, 30}, {31, 31, 31}} -> 1 +{{1, 1, 2}, {1, 1, 3}, {1, 1, 4}, {1, 1, 5}, {1, 1, 6}, {1, 1, 7}, {1, 1, 8}, {1, 1, 9}, {1, 1, 10}, {1, 1, 11}, {1, 1, 12}, {1, 1, 13}, {1, 1, 14}, {1, 1, 15}, {1, 1, 16}, {1, 1, 17}, {1, 1, 18}, {1, 1, 19}, {1, 1, 20}, {1, 1, 21}, {1, 1, 22}, {1, 1, 23}, {1, 1, 24}, {1, 1, 25}, {1, 1, 26}, {1, 1, 27}, {1, 1, 28}, {1, 1, 29}, {1, 1, 30}, {1, 1, 31}, {1, 2, 1}, {1, 2, 2}, {1, 3, 1}, {1, 3, 3}, {1, 4, 1}, {1, 4, 4}, {1, 5, 1}, {1, 5, 5}, {1, 6, 1}, {1, 6, 6}, {1, 7, 1}, {1, 7, 7}, {1, 8, 1}, {1, 8, 8}, {1, 9, 1}, {1, 9, 9}, {1, 10, 1}, {1, 10, 10}, {1, 11, 1}, {1, 11, 11}, {1, 12, 1}, {1, 12, 12}, {1, 13, 1}, {1, 13, 13}, {1, 14, 1}, {1, 14, 14}, {1, 15, 1}, {1, 15, 15}, {1, 16, 1}, {1, 16, 16}, {1, 17, 1}, {1, 17, 17}, {1, 18, 1}, {1, 18, 18}, {1, 19, 1}, {1, 19, 19}, {1, 20, 1}, {1, 20, 20}, {1, 21, 1}, {1, 21, 21}, {1, 22, 1}, {1, 22, 22}, {1, 23, 1}, {1, 23, 23}, {1, 24, 1}, {1, 24, 24}, {1, 25, 1}, {1, 25, 25}, {1, 26, 1}, {1, 26, 26}, {1, 27, 1}, {1, 27, 27}, {1, 28, 1}, {1, 28, 28}, {1, 29, 1}, {1, 29, 29}, {1, 30, 1}, {1, 30, 30}, {1, 31, 1}, {1, 31, 31}, {2, 1, 1}, {2, 1, 2}, {2, 2, 1}, {2, 2, 3}, {2, 2, 4}, {2, 2, 5}, {2, 2, 6}, {2, 2, 7}, {2, 2, 8}, {2, 2, 9}, {2, 2, 10}, {2, 2, 11}, {2, 2, 12}, {2, 2, 13}, {2, 2, 14}, {2, 2, 15}, {2, 2, 16}, {2, 2, 17}, {2, 2, 18}, {2, 2, 19}, {2, 2, 20}, {2, 2, 21}, {2, 2, 22}, {2, 2, 23}, {2, 2, 24}, {2, 2, 25}, {2, 2, 26}, {2, 2, 27}, {2, 2, 28}, {2, 2, 29}, {2, 2, 30}, {2, 2, 31}, {2, 3, 2}, {2, 3, 3}, {2, 4, 2}, {2, 4, 4}, {2, 5, 2}, {2, 5, 5}, {2, 6, 2}, {2, 6, 6}, {2, 7, 2}, {2, 7, 7}, {2, 8, 2}, {2, 8, 8}, {2, 9, 2}, {2, 9, 9}, {2, 10, 2}, {2, 10, 10}, {2, 11, 2}, {2, 11, 11}, {2, 12, 2}, {2, 12, 12}, {2, 13, 2}, {2, 13, 13}, {2, 14, 2}, {2, 14, 14}, {2, 15, 2}, {2, 15, 15}, {2, 16, 2}, {2, 16, 16}, {2, 17, 2}, {2, 17, 17}, {2, 18, 2}, {2, 18, 18}, {2, 19, 2}, {2, 19, 19}, {2, 20, 2}, {2, 20, 20}, {2, 21, 2}, {2, 21, 21}, {2, 22, 2}, {2, 22, 22}, {2, 23, 2}, {2, 23, 23}, {2, 24, 2}, {2, 24, 24}, {2, 25, 2}, {2, 25, 25}, {2, 26, 2}, {2, 26, 26}, {2, 27, 2}, {2, 27, 27}, {2, 28, 2}, {2, 28, 28}, {2, 29, 2}, {2, 29, 29}, {2, 30, 2}, {2, 30, 30}, {2, 31, 2}, {2, 31, 31}, {3, 1, 1}, {3, 1, 3}, {3, 2, 2}, {3, 2, 3}, {3, 3, 1}, {3, 3, 2}, {3, 3, 4}, {3, 3, 5}, {3, 3, 6}, {3, 3, 7}, {3, 3, 8}, {3, 3, 9}, {3, 3, 10}, {3, 3, 11}, {3, 3, 12}, {3, 3, 13}, {3, 3, 14}, {3, 3, 15}, {3, 3, 16}, {3, 3, 17}, {3, 3, 18}, {3, 3, 19}, {3, 3, 20}, {3, 3, 21}, {3, 3, 22}, {3, 3, 23}, {3, 3, 24}, {3, 3, 25}, {3, 3, 26}, {3, 3, 27}, {3, 3, 28}, {3, 3, 29}, {3, 3, 30}, {3, 3, 31}, {3, 4, 3}, {3, 4, 4}, {3, 5, 3}, {3, 5, 5}, {3, 6, 3}, {3, 6, 6}, {3, 7, 3}, {3, 7, 7}, {3, 8, 3}, {3, 8, 8}, {3, 9, 3}, {3, 9, 9}, {3, 10, 3}, {3, 10, 10}, {3, 11, 3}, {3, 11, 11}, {3, 12, 3}, {3, 12, 12}, {3, 13, 3}, {3, 13, 13}, {3, 14, 3}, {3, 14, 14}, {3, 15, 3}, {3, 15, 15}, {3, 16, 3}, {3, 16, 16}, {3, 17, 3}, {3, 17, 17}, {3, 18, 3}, {3, 18, 18}, {3, 19, 3}, {3, 19, 19}, {3, 20, 3}, {3, 20, 20}, {3, 21, 3}, {3, 21, 21}, {3, 22, 3}, {3, 22, 22}, {3, 23, 3}, {3, 23, 23}, {3, 24, 3}, {3, 24, 24}, {3, 25, 3}, {3, 25, 25}, {3, 26, 3}, {3, 26, 26}, {3, 27, 3}, {3, 27, 27}, {3, 28, 3}, {3, 28, 28}, {3, 29, 3}, {3, 29, 29}, {3, 30, 3}, {3, 30, 30}, {3, 31, 3}, {3, 31, 31}, {4, 1, 1}, {4, 1, 4}, {4, 2, 2}, {4, 2, 4}, {4, 3, 3}, {4, 3, 4}, {4, 4, 1}, {4, 4, 2}, {4, 4, 3}, {4, 4, 5}, {4, 4, 6}, {4, 4, 7}, {4, 4, 8}, {4, 4, 9}, {4, 4, 10}, {4, 4, 11}, {4, 4, 12}, {4, 4, 13}, {4, 4, 14}, {4, 4, 15}, {4, 4, 16}, {4, 4, 17}, {4, 4, 18}, {4, 4, 19}, {4, 4, 20}, {4, 4, 21}, {4, 4, 22}, {4, 4, 23}, {4, 4, 24}, {4, 4, 25}, {4, 4, 26}, {4, 4, 27}, {4, 4, 28}, {4, 4, 29}, {4, 4, 30}, {4, 4, 31}, {4, 5, 4}, {4, 5, 5}, {4, 6, 4}, {4, 6, 6}, {4, 7, 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30}, {31, 2, 4}, {31, 2, 7}, {31, 2, 9}, {31, 2, 10}, {31, 2, 13}, {31, 2, 15}, {31, 2, 16}, {31, 2, 17}, {31, 2, 18}, {31, 2, 20}, {31, 2, 23}, {31, 2, 24}, {31, 2, 26}, {31, 2, 29}, {31, 3, 11}, {31, 3, 12}, {31, 3, 13}, {31, 3, 17}, {31, 3, 21}, {31, 3, 22}, {31, 3, 23}, {31, 4, 1}, {31, 4, 3}, {31, 4, 5}, {31, 4, 8}, {31, 4, 9}, {31, 4, 14}, {31, 4, 15}, {31, 4, 17}, {31, 4, 18}, {31, 4, 20}, {31, 4, 21}, {31, 4, 26}, {31, 4, 27}, {31, 4, 30}, {31, 5, 2}, {31, 5, 3}, {31, 5, 7}, {31, 5, 9}, {31, 5, 10}, {31, 5, 11}, {31, 5, 14}, {31, 5, 17}, {31, 5, 19}, {31, 5, 22}, {31, 5, 25}, {31, 5, 26}, {31, 5, 27}, {31, 5, 29}, {31, 6, 3}, {31, 6, 11}, {31, 6, 13}, {31, 6, 15}, {31, 6, 22}, {31, 6, 24}, {31, 6, 26}, {31, 7, 1}, {31, 7, 3}, {31, 7, 4}, {31, 7, 6}, {31, 7, 8}, {31, 7, 9}, {31, 7, 13}, {31, 7, 14}, {31, 7, 16}, {31, 7, 22}, {31, 7, 24}, {31, 7, 25}, {31, 7, 29}, {31, 7, 30}, {31, 8, 2}, {31, 8, 3}, {31, 8, 5}, {31, 8, 6}, {31, 8, 9}, {31, 8, 10}, {31, 8, 11}, {31, 8, 16}, {31, 8, 18}, {31, 8, 21}, {31, 8, 23}, {31, 8, 28}, {31, 8, 29}, {31, 8, 30}, {31, 9, 10}, {31, 9, 12}, {31, 9, 14}, {31, 9, 15}, {31, 9, 16}, {31, 9, 18}, {31, 9, 19}, {31, 9, 21}, {31, 9, 22}, {31, 9, 24}, {31, 9, 25}, {31, 9, 26}, {31, 9, 28}, {31, 9, 30}, {31, 10, 3}, {31, 10, 4}, {31, 10, 6}, {31, 10, 7}, {31, 10, 13}, {31, 10, 14}, {31, 10, 18}, {31, 10, 19}, {31, 10, 20}, {31, 10, 21}, {31, 10, 22}, {31, 10, 23}, {31, 10, 27}, {31, 10, 28}, {31, 11, 12}, {31, 11, 13}, {31, 11, 15}, {31, 11, 21}, {31, 11, 27}, {31, 11, 29}, {31, 11, 30}, {31, 12, 6}, {31, 12, 13}, {31, 12, 17}, {31, 12, 21}, {31, 12, 22}, {31, 12, 26}, {31, 12, 30}, {31, 13, 15}, {31, 13, 17}, {31, 13, 21}, {31, 13, 22}, {31, 13, 23}, {31, 13, 27}, {31, 13, 29}, {31, 14, 1}, {31, 14, 2}, {31, 14, 6}, {31, 14, 8}, {31, 14, 12}, {31, 14, 13}, {31, 14, 16}, {31, 14, 17}, {31, 14, 18}, {31, 14, 19}, {31, 14, 26}, {31, 14, 27}, {31, 14, 28}, {31, 14, 29}, {31, 15, 3}, {31, 15, 12}, {31, 15, 17}, {31, 15, 22}, {31, 15, 23}, {31, 15, 24}, {31, 15, 29}, {31, 16, 1}, {31, 16, 4}, {31, 16, 5}, {31, 16, 6}, {31, 16, 10}, {31, 16, 11}, {31, 16, 12}, {31, 16, 15}, {31, 16, 18}, {31, 16, 20}, {31, 16, 22}, {31, 16, 25}, {31, 16, 27}, {31, 16, 29}, {31, 17, 6}, {31, 17, 11}, {31, 17, 21}, {31, 17, 22}, {31, 17, 24}, {31, 17, 26}, {31, 17, 27}, {31, 18, 1}, {31, 18, 5}, {31, 18, 7}, {31, 18, 11}, {31, 18, 13}, {31, 18, 17}, {31, 18, 19}, {31, 18, 20}, {31, 18, 21}, {31, 18, 24}, {31, 18, 25}, {31, 18, 28}, {31, 18, 29}, {31, 18, 30}, {31, 19, 2}, {31, 19, 3}, {31, 19, 4}, {31, 19, 7}, {31, 19, 8}, {31, 19, 11}, {31, 19, 12}, {31, 19, 15}, {31, 19, 16}, {31, 19, 17}, {31, 19, 20}, {31, 19, 22}, {31, 19, 28}, {31, 19, 30}, {31, 20, 5}, {31, 20, 6}, {31, 20, 7}, {31, 20, 8}, {31, 20, 9}, {31, 20, 11}, {31, 20, 12}, {31, 20, 13}, {31, 20, 14}, {31, 20, 15}, {31, 20, 23}, {31, 20, 25}, {31, 20, 26}, {31, 20, 28}, {31, 21, 6}, {31, 21, 15}, {31, 21, 22}, {31, 21, 23}, {31, 21, 26}, {31, 21, 29}, {31, 21, 30}, {31, 22, 11}, {31, 22, 23}, {31, 22, 24}, {31, 22, 26}, {31, 22, 27}, {31, 22, 29}, {31, 22, 30}, {31, 23, 6}, {31, 23, 11}, {31, 23, 12}, {31, 23, 17}, {31, 23, 24}, {31, 23, 27}, {31, 23, 30}, {31, 24, 3}, {31, 24, 11}, {31, 24, 12}, {31, 24, 13}, {31, 24, 21}, {31, 24, 26}, {31, 24, 29}, {31, 25, 1}, {31, 25, 2}, {31, 25, 4}, {31, 25, 6}, {31, 25, 8}, {31, 25, 10}, {31, 25, 11}, {31, 25, 14}, {31, 25, 15}, {31, 25, 17}, {31, 25, 19}, {31, 25, 21}, {31, 25, 23}, {31, 25, 24}, {31, 26, 3}, {31, 26, 11}, {31, 26, 13}, {31, 26, 15}, {31, 26, 23}, {31, 26, 27}, {31, 26, 30}, {31, 27, 3}, {31, 27, 6}, {31, 27, 12}, {31, 27, 15}, {31, 27, 21}, {31, 27, 24}, {31, 27, 29}, {31, 28, 1}, {31, 28, 2}, {31, 28, 3}, {31, 28, 4}, {31, 28, 5}, {31, 28, 7}, {31, 28, 12}, {31, 28, 16}, {31, 28, 21}, {31, 28, 23}, {31, 28, 24}, {31, 28, 25}, {31, 28, 26}, {31, 28, 27}, {31, 29, 3}, {31, 29, 6}, {31, 29, 12}, {31, 29, 17}, {31, 29, 23}, {31, 29, 26}, {31, 29, 30}, {31, 30, 3}, {31, 30, 6}, {31, 30, 13}, {31, 30, 15}, {31, 30, 17}, {31, 30, 24}, {31, 30, 27}} -> ((4*I)/3375)*(I + Sqrt[31]) +{{1, 2, 5}, {1, 2, 8}, {1, 2, 15}, {1, 2, 17}, {1, 2, 19}, {1, 2, 26}, {1, 2, 29}, {1, 3, 2}, {1, 3, 6}, {1, 3, 9}, {1, 3, 15}, {1, 3, 20}, {1, 3, 26}, {1, 3, 29}, {1, 4, 5}, {1, 4, 6}, {1, 4, 7}, {1, 4, 8}, {1, 4, 9}, {1, 4, 11}, {1, 4, 16}, {1, 4, 20}, {1, 4, 25}, {1, 4, 27}, {1, 4, 28}, {1, 4, 29}, {1, 4, 30}, {1, 4, 31}, {1, 5, 3}, {1, 5, 8}, {1, 5, 11}, {1, 5, 17}, {1, 5, 20}, {1, 5, 26}, {1, 5, 29}, {1, 6, 2}, {1, 6, 5}, {1, 6, 9}, {1, 6, 17}, {1, 6, 19}, {1, 6, 21}, {1, 6, 29}, {1, 7, 8}, {1, 7, 9}, {1, 7, 11}, {1, 7, 13}, {1, 7, 15}, {1, 7, 17}, {1, 7, 18}, {1, 7, 21}, {1, 7, 22}, {1, 7, 24}, {1, 7, 26}, {1, 7, 28}, {1, 7, 30}, {1, 7, 31}, {1, 8, 3}, {1, 8, 6}, {1, 8, 11}, {1, 8, 19}, {1, 8, 20}, {1, 8, 21}, {1, 8, 29}, {1, 9, 2}, {1, 9, 5}, {1, 9, 8}, {1, 9, 15}, {1, 9, 20}, {1, 9, 21}, {1, 9, 26}, {1, 10, 2}, {1, 10, 3}, {1, 10, 5}, {1, 10, 6}, {1, 10, 8}, {1, 10, 9}, {1, 10, 21}, {1, 11, 2}, {1, 11, 3}, {1, 11, 6}, {1, 11, 9}, {1, 11, 10}, {1, 11, 17}, {1, 11, 26}, {1, 12, 4}, {1, 12, 6}, {1, 12, 7}, {1, 12, 9}, {1, 12, 17}, {1, 12, 18}, {1, 12, 19}, {1, 12, 20}, {1, 12, 21}, {1, 12, 23}, {1, 12, 24}, {1, 12, 25}, {1, 12, 26}, {1, 12, 27}, {1, 13, 2}, {1, 13, 4}, {1, 13, 10}, {1, 13, 12}, {1, 13, 15}, {1, 13, 16}, {1, 13, 17}, {1, 13, 20}, {1, 13, 21}, {1, 13, 24}, {1, 13, 25}, {1, 13, 28}, {1, 13, 29}, {1, 13, 30}, {1, 14, 2}, {1, 14, 3}, {1, 14, 4}, {1, 14, 7}, {1, 14, 8}, {1, 14, 11}, {1, 14, 12}, {1, 14, 13}, {1, 14, 15}, {1, 14, 19}, {1, 14, 21}, {1, 14, 25}, {1, 14, 27}, {1, 14, 31}, {1, 15, 5}, {1, 15, 6}, {1, 15, 8}, {1, 15, 10}, {1, 15, 11}, {1, 15, 21}, {1, 15, 26}, {1, 16, 3}, {1, 16, 5}, {1, 16, 7}, {1, 16, 10}, {1, 16, 12}, {1, 16, 14}, {1, 16, 17}, {1, 16, 20}, {1, 16, 21}, {1, 16, 22}, {1, 16, 26}, {1, 16, 27}, {1, 16, 28}, {1, 16, 31}, {1, 17, 3}, {1, 17, 8}, {1, 17, 9}, {1, 17, 10}, {1, 17, 15}, {1, 17, 20}, {1, 17, 29}, {1, 18, 3}, {1, 18, 4}, {1, 18, 5}, {1, 18, 6}, {1, 18, 13}, {1, 18, 14}, {1, 18, 15}, {1, 18, 16}, {1, 18, 19}, {1, 18, 20}, {1, 18, 24}, {1, 18, 26}, {1, 18, 30}, {1, 18, 31}, {1, 19, 3}, {1, 19, 5}, {1, 19, 9}, {1, 19, 10}, {1, 19, 11}, {1, 19, 15}, {1, 19, 17}, {1, 20, 2}, {1, 20, 6}, {1, 20, 10}, {1, 20, 11}, {1, 20, 15}, {1, 20, 19}, {1, 20, 26}, {1, 21, 2}, {1, 21, 3}, {1, 21, 5}, {1, 21, 11}, {1, 21, 17}, {1, 21, 19}, {1, 21, 20}, {1, 22, 4}, {1, 22, 5}, {1, 22, 9}, {1, 22, 10}, {1, 22, 11}, {1, 22, 12}, {1, 22, 13}, {1, 22, 14}, {1, 22, 18}, {1, 22, 19}, {1, 22, 25}, {1, 22, 26}, {1, 22, 28}, {1, 22, 29}, {1, 23, 2}, {1, 23, 4}, {1, 23, 6}, {1, 23, 7}, {1, 23, 8}, {1, 23, 10}, {1, 23, 11}, {1, 23, 13}, {1, 23, 14}, {1, 23, 16}, {1, 23, 17}, {1, 23, 18}, {1, 23, 20}, {1, 23, 22}, {1, 24, 2}, {1, 24, 3}, {1, 24, 4}, {1, 24, 9}, {1, 24, 11}, {1, 24, 14}, {1, 24, 16}, {1, 24, 21}, {1, 24, 22}, {1, 24, 23}, {1, 24, 26}, {1, 24, 27}, {1, 24, 29}, {1, 24, 30}, {1, 25, 2}, {1, 25, 3}, {1, 25, 7}, {1, 25, 8}, {1, 25, 10}, {1, 25, 16}, {1, 25, 18}, {1, 25, 19}, {1, 25, 23}, {1, 25, 24}, {1, 25, 26}, {1, 25, 28}, {1, 25, 29}, {1, 25, 31}, {1, 26, 6}, {1, 26, 8}, {1, 26, 10}, {1, 26, 17}, {1, 26, 19}, {1, 26, 21}, {1, 26, 29}, {1, 27, 3}, {1, 27, 5}, {1, 27, 6}, {1, 27, 7}, {1, 27, 10}, {1, 27, 13}, {1, 27, 15}, {1, 27, 18}, {1, 27, 21}, {1, 27, 22}, {1, 27, 23}, {1, 27, 25}, {1, 27, 29}, {1, 27, 30}, {1, 28, 2}, {1, 28, 5}, {1, 28, 6}, {1, 28, 11}, {1, 28, 12}, {1, 28, 14}, {1, 28, 15}, {1, 28, 17}, {1, 28, 18}, {1, 28, 23}, {1, 28, 24}, {1, 28, 27}, {1, 28, 29}, {1, 28, 31}, {1, 29, 9}, {1, 29, 10}, {1, 29, 11}, {1, 29, 15}, {1, 29, 19}, {1, 29, 20}, {1, 29, 21}, {1, 30, 3}, {1, 30, 6}, {1, 30, 8}, {1, 30, 9}, {1, 30, 12}, {1, 30, 14}, {1, 30, 15}, {1, 30, 16}, {1, 30, 17}, {1, 30, 19}, {1, 30, 22}, {1, 30, 23}, {1, 30, 25}, {1, 30, 28}, {1, 31, 2}, {1, 31, 5}, {1, 31, 8}, {1, 31, 9}, {1, 31, 10}, {1, 31, 12}, {1, 31, 13}, {1, 31, 19}, {1, 31, 20}, {1, 31, 22}, {1, 31, 23}, {1, 31, 24}, {1, 31, 27}, {1, 31, 30}, {2, 1, 3}, {2, 1, 6}, {2, 1, 9}, {2, 1, 10}, {2, 1, 11}, {2, 1, 13}, {2, 1, 14}, {2, 1, 20}, {2, 1, 21}, {2, 1, 23}, {2, 1, 24}, {2, 1, 25}, {2, 1, 28}, {2, 1, 31}, {2, 3, 6}, {2, 3, 9}, {2, 3, 16}, {2, 3, 18}, {2, 3, 20}, {2, 3, 27}, {2, 3, 30}, {2, 4, 3}, {2, 4, 7}, {2, 4, 10}, {2, 4, 16}, {2, 4, 21}, {2, 4, 27}, {2, 4, 30}, {2, 5, 1}, {2, 5, 6}, {2, 5, 7}, {2, 5, 8}, {2, 5, 9}, {2, 5, 10}, {2, 5, 12}, {2, 5, 17}, {2, 5, 21}, {2, 5, 26}, {2, 5, 28}, {2, 5, 29}, {2, 5, 30}, {2, 5, 31}, {2, 6, 4}, {2, 6, 9}, {2, 6, 12}, {2, 6, 18}, {2, 6, 21}, {2, 6, 27}, {2, 6, 30}, {2, 7, 3}, {2, 7, 6}, {2, 7, 10}, {2, 7, 18}, {2, 7, 20}, {2, 7, 22}, {2, 7, 30}, {2, 8, 1}, {2, 8, 9}, {2, 8, 10}, {2, 8, 12}, {2, 8, 14}, {2, 8, 16}, {2, 8, 18}, {2, 8, 19}, {2, 8, 22}, {2, 8, 23}, {2, 8, 25}, {2, 8, 27}, {2, 8, 29}, {2, 8, 31}, {2, 9, 4}, {2, 9, 7}, {2, 9, 12}, {2, 9, 20}, {2, 9, 21}, {2, 9, 22}, {2, 9, 30}, {2, 10, 3}, {2, 10, 6}, {2, 10, 9}, {2, 10, 16}, {2, 10, 21}, {2, 10, 22}, {2, 10, 27}, {2, 11, 3}, {2, 11, 4}, {2, 11, 6}, {2, 11, 7}, {2, 11, 9}, {2, 11, 10}, {2, 11, 22}, {2, 12, 3}, {2, 12, 4}, {2, 12, 7}, {2, 12, 10}, {2, 12, 11}, {2, 12, 18}, {2, 12, 27}, {2, 13, 5}, {2, 13, 7}, {2, 13, 8}, {2, 13, 10}, {2, 13, 18}, {2, 13, 19}, {2, 13, 20}, {2, 13, 21}, {2, 13, 22}, {2, 13, 24}, {2, 13, 25}, {2, 13, 26}, {2, 13, 27}, {2, 13, 28}, {2, 14, 3}, {2, 14, 5}, {2, 14, 11}, {2, 14, 13}, {2, 14, 16}, {2, 14, 17}, {2, 14, 18}, {2, 14, 21}, {2, 14, 22}, {2, 14, 25}, {2, 14, 26}, {2, 14, 29}, {2, 14, 30}, {2, 14, 31}, {2, 15, 1}, {2, 15, 3}, {2, 15, 4}, {2, 15, 5}, {2, 15, 8}, {2, 15, 9}, {2, 15, 12}, {2, 15, 13}, {2, 15, 14}, {2, 15, 16}, {2, 15, 20}, {2, 15, 22}, {2, 15, 26}, {2, 15, 28}, {2, 16, 6}, {2, 16, 7}, {2, 16, 9}, {2, 16, 11}, {2, 16, 12}, {2, 16, 22}, {2, 16, 27}, {2, 17, 1}, {2, 17, 4}, {2, 17, 6}, {2, 17, 8}, {2, 17, 11}, {2, 17, 13}, {2, 17, 15}, {2, 17, 18}, {2, 17, 21}, {2, 17, 22}, {2, 17, 23}, {2, 17, 27}, {2, 17, 28}, {2, 17, 29}, {2, 18, 4}, {2, 18, 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14}, {30, 23, 16}, {30, 23, 17}, {30, 23, 21}, {30, 23, 22}, {30, 23, 24}, {30, 23, 26}, {30, 23, 27}, {30, 23, 29}, {30, 23, 31}, {30, 24, 4}, {30, 24, 6}, {30, 24, 8}, {30, 24, 15}, {30, 24, 17}, {30, 24, 19}, {30, 24, 27}, {30, 25, 1}, {30, 25, 3}, {30, 25, 4}, {30, 25, 5}, {30, 25, 8}, {30, 25, 11}, {30, 25, 13}, {30, 25, 16}, {30, 25, 19}, {30, 25, 20}, {30, 25, 21}, {30, 25, 23}, {30, 25, 27}, {30, 25, 28}, {30, 26, 3}, {30, 26, 4}, {30, 26, 9}, {30, 26, 10}, {30, 26, 12}, {30, 26, 13}, {30, 26, 15}, {30, 26, 16}, {30, 26, 21}, {30, 26, 22}, {30, 26, 25}, {30, 26, 27}, {30, 26, 29}, {30, 26, 31}, {30, 27, 7}, {30, 27, 8}, {30, 27, 9}, {30, 27, 13}, {30, 27, 17}, {30, 27, 18}, {30, 27, 19}, {30, 28, 1}, {30, 28, 4}, {30, 28, 6}, {30, 28, 7}, {30, 28, 10}, {30, 28, 12}, {30, 28, 13}, {30, 28, 14}, {30, 28, 15}, {30, 28, 17}, {30, 28, 20}, {30, 28, 21}, {30, 28, 23}, {30, 28, 26}, {30, 29, 3}, {30, 29, 6}, {30, 29, 7}, {30, 29, 8}, {30, 29, 10}, {30, 29, 11}, {30, 29, 17}, {30, 29, 18}, {30, 29, 20}, {30, 29, 21}, {30, 29, 22}, {30, 29, 25}, {30, 29, 28}, {30, 29, 31}, {30, 31, 3}, {30, 31, 6}, {30, 31, 13}, {30, 31, 15}, {30, 31, 17}, {30, 31, 24}, {30, 31, 27}, {31, 1, 4}, {31, 1, 7}, {31, 1, 14}, {31, 1, 16}, {31, 1, 18}, {31, 1, 25}, {31, 1, 28}, {31, 2, 1}, {31, 2, 5}, {31, 2, 8}, {31, 2, 14}, {31, 2, 19}, {31, 2, 25}, {31, 2, 28}, {31, 3, 4}, {31, 3, 5}, {31, 3, 6}, {31, 3, 7}, {31, 3, 8}, {31, 3, 10}, {31, 3, 15}, {31, 3, 19}, {31, 3, 24}, {31, 3, 26}, {31, 3, 27}, {31, 3, 28}, {31, 3, 29}, {31, 3, 30}, {31, 4, 2}, {31, 4, 7}, {31, 4, 10}, {31, 4, 16}, {31, 4, 19}, {31, 4, 25}, {31, 4, 28}, {31, 5, 1}, {31, 5, 4}, {31, 5, 8}, {31, 5, 16}, {31, 5, 18}, {31, 5, 20}, {31, 5, 28}, {31, 6, 7}, {31, 6, 8}, {31, 6, 10}, {31, 6, 12}, {31, 6, 14}, {31, 6, 16}, {31, 6, 17}, {31, 6, 20}, {31, 6, 21}, {31, 6, 23}, {31, 6, 25}, {31, 6, 27}, {31, 6, 29}, {31, 6, 30}, {31, 7, 2}, {31, 7, 5}, {31, 7, 10}, {31, 7, 18}, {31, 7, 19}, {31, 7, 20}, {31, 7, 28}, {31, 8, 1}, {31, 8, 4}, {31, 8, 7}, {31, 8, 14}, {31, 8, 19}, {31, 8, 20}, {31, 8, 25}, {31, 9, 1}, {31, 9, 2}, {31, 9, 4}, {31, 9, 5}, {31, 9, 7}, {31, 9, 8}, {31, 9, 20}, {31, 10, 1}, {31, 10, 2}, {31, 10, 5}, {31, 10, 8}, {31, 10, 9}, {31, 10, 16}, {31, 10, 25}, {31, 11, 3}, {31, 11, 5}, {31, 11, 6}, {31, 11, 8}, {31, 11, 16}, {31, 11, 17}, {31, 11, 18}, {31, 11, 19}, {31, 11, 20}, {31, 11, 22}, {31, 11, 23}, {31, 11, 24}, {31, 11, 25}, {31, 11, 26}, {31, 12, 1}, {31, 12, 3}, {31, 12, 9}, {31, 12, 11}, {31, 12, 14}, {31, 12, 15}, {31, 12, 16}, {31, 12, 19}, {31, 12, 20}, {31, 12, 23}, {31, 12, 24}, {31, 12, 27}, {31, 12, 28}, {31, 12, 29}, {31, 13, 1}, {31, 13, 2}, {31, 13, 3}, {31, 13, 6}, {31, 13, 7}, {31, 13, 10}, {31, 13, 11}, {31, 13, 12}, {31, 13, 14}, {31, 13, 18}, {31, 13, 20}, {31, 13, 24}, {31, 13, 26}, {31, 13, 30}, {31, 14, 4}, {31, 14, 5}, {31, 14, 7}, {31, 14, 9}, {31, 14, 10}, {31, 14, 20}, {31, 14, 25}, {31, 15, 2}, {31, 15, 4}, {31, 15, 6}, {31, 15, 9}, {31, 15, 11}, {31, 15, 13}, {31, 15, 16}, {31, 15, 19}, {31, 15, 20}, {31, 15, 21}, {31, 15, 25}, {31, 15, 26}, {31, 15, 27}, {31, 15, 30}, {31, 16, 2}, {31, 16, 7}, {31, 16, 8}, {31, 16, 9}, {31, 16, 14}, {31, 16, 19}, {31, 16, 28}, {31, 17, 2}, {31, 17, 3}, {31, 17, 4}, {31, 17, 5}, {31, 17, 12}, {31, 17, 13}, {31, 17, 14}, {31, 17, 15}, {31, 17, 18}, {31, 17, 19}, {31, 17, 23}, {31, 17, 25}, {31, 17, 29}, {31, 17, 30}, {31, 18, 2}, {31, 18, 4}, {31, 18, 8}, {31, 18, 9}, {31, 18, 10}, {31, 18, 14}, {31, 18, 16}, {31, 19, 1}, {31, 19, 5}, {31, 19, 9}, {31, 19, 10}, {31, 19, 14}, {31, 19, 18}, {31, 19, 25}, {31, 20, 1}, {31, 20, 2}, {31, 20, 4}, {31, 20, 10}, {31, 20, 16}, {31, 20, 18}, {31, 20, 19}, {31, 21, 3}, {31, 21, 4}, {31, 21, 8}, {31, 21, 9}, {31, 21, 10}, {31, 21, 11}, {31, 21, 12}, {31, 21, 13}, {31, 21, 17}, {31, 21, 18}, {31, 21, 24}, {31, 21, 25}, {31, 21, 27}, {31, 21, 28}, {31, 22, 1}, {31, 22, 3}, {31, 22, 5}, {31, 22, 6}, {31, 22, 7}, {31, 22, 9}, {31, 22, 10}, {31, 22, 12}, {31, 22, 13}, {31, 22, 15}, {31, 22, 16}, {31, 22, 17}, {31, 22, 19}, {31, 22, 21}, {31, 23, 1}, {31, 23, 2}, {31, 23, 3}, {31, 23, 8}, {31, 23, 10}, {31, 23, 13}, {31, 23, 15}, {31, 23, 20}, {31, 23, 21}, {31, 23, 22}, {31, 23, 25}, {31, 23, 26}, {31, 23, 28}, {31, 23, 29}, {31, 24, 1}, {31, 24, 2}, {31, 24, 6}, {31, 24, 7}, {31, 24, 9}, {31, 24, 15}, {31, 24, 17}, {31, 24, 18}, {31, 24, 22}, {31, 24, 23}, {31, 24, 25}, {31, 24, 27}, {31, 24, 28}, {31, 24, 30}, {31, 25, 5}, {31, 25, 7}, {31, 25, 9}, {31, 25, 16}, {31, 25, 18}, {31, 25, 20}, {31, 25, 28}, {31, 26, 2}, {31, 26, 4}, {31, 26, 5}, {31, 26, 6}, {31, 26, 9}, {31, 26, 12}, {31, 26, 14}, {31, 26, 17}, {31, 26, 20}, {31, 26, 21}, {31, 26, 22}, {31, 26, 24}, {31, 26, 28}, {31, 26, 29}, {31, 27, 1}, {31, 27, 4}, {31, 27, 5}, {31, 27, 10}, {31, 27, 11}, {31, 27, 13}, {31, 27, 14}, {31, 27, 16}, {31, 27, 17}, {31, 27, 22}, {31, 27, 23}, {31, 27, 26}, {31, 27, 28}, {31, 27, 30}, {31, 28, 8}, {31, 28, 9}, {31, 28, 10}, {31, 28, 14}, {31, 28, 18}, {31, 28, 19}, {31, 28, 20}, {31, 29, 2}, {31, 29, 5}, {31, 29, 7}, {31, 29, 8}, {31, 29, 11}, {31, 29, 13}, {31, 29, 14}, {31, 29, 15}, {31, 29, 16}, {31, 29, 18}, {31, 29, 21}, {31, 29, 22}, {31, 29, 24}, {31, 29, 27}, {31, 30, 1}, {31, 30, 4}, {31, 30, 7}, {31, 30, 8}, {31, 30, 9}, {31, 30, 11}, {31, 30, 12}, {31, 30, 18}, {31, 30, 19}, {31, 30, 21}, {31, 30, 22}, {31, 30, 23}, {31, 30, 26}, {31, 30, 29}} -> ((-4*I)/3375)*(-I + Sqrt[31]) diff --git a/etf_21x43_6a.exa b/etf_21x43_6a.exa new file mode 100644 index 0000000..7c24362 --- /dev/null +++ b/etf_21x43_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}} -> 11/441 +{{2, 3}, {2, 6}, {2, 8}, {2, 13}, {2, 19}, {2, 23}, {2, 27}, {2, 33}, {2, 38}, {2, 40}, {2, 43}, {5, 3}, {5, 6}, {5, 9}, {5, 19}, {5, 20}, {5, 21}, {5, 28}, {5, 29}, {5, 30}, {5, 40}, {5, 43}, {7, 4}, {7, 8}, {7, 13}, {7, 20}, {7, 21}, {7, 23}, {7, 28}, {7, 30}, {7, 31}, {7, 38}, {7, 43}, {10, 3}, {10, 8}, {10, 19}, {10, 20}, {10, 21}, {10, 23}, {10, 27}, {10, 31}, {10, 33}, {10, 34}, {10, 35}, {11, 3}, {11, 4}, {11, 6}, {11, 8}, {11, 9}, {11, 20}, {11, 21}, {11, 27}, {11, 28}, {11, 34}, {11, 35}, {12, 4}, {12, 9}, {12, 13}, {12, 21}, {12, 23}, {12, 27}, {12, 28}, {12, 29}, {12, 33}, {12, 35}, {12, 43}, {14, 6}, {14, 9}, {14, 20}, {14, 23}, {14, 27}, {14, 28}, {14, 29}, {14, 30}, {14, 31}, {14, 35}, {14, 38}, {15, 3}, {15, 8}, {15, 13}, {15, 19}, {15, 21}, {15, 28}, {15, 29}, {15, 30}, {15, 31}, {15, 38}, {15, 40}, {16, 4}, {16, 8}, {16, 9}, {16, 13}, {16, 20}, {16, 27}, {16, 29}, {16, 30}, {16, 31}, {16, 33}, {16, 40}, {17, 9}, {17, 21}, {17, 23}, {17, 27}, {17, 28}, {17, 30}, {17, 31}, {17, 33}, {17, 34}, {17, 38}, {17, 40}, {18, 6}, {18, 13}, {18, 19}, {18, 27}, {18, 28}, {18, 29}, {18, 31}, {18, 33}, {18, 34}, {18, 35}, {18, 43}, {22, 3}, {22, 4}, {22, 19}, {22, 20}, {22, 23}, {22, 28}, {22, 31}, {22, 33}, {22, 35}, {22, 38}, {22, 43}, {24, 4}, {24, 6}, {24, 19}, {24, 21}, {24, 28}, {24, 30}, {24, 33}, {24, 34}, {24, 35}, {24, 38}, {24, 40}, {25, 3}, {25, 6}, {25, 13}, {25, 20}, {25, 23}, {25, 29}, {25, 31}, {25, 34}, {25, 35}, {25, 38}, {25, 40}, {26, 4}, {26, 6}, {26, 8}, {26, 19}, {26, 21}, {26, 23}, {26, 27}, {26, 30}, {26, 35}, {26, 40}, {26, 43}, {32, 3}, {32, 4}, {32, 6}, {32, 13}, {32, 20}, {32, 27}, {32, 29}, {32, 30}, {32, 33}, {32, 38}, {32, 43}, {36, 3}, {36, 4}, {36, 6}, {36, 8}, {36, 9}, {36, 28}, {36, 29}, {36, 31}, {36, 33}, {36, 34}, {36, 40}, {37, 3}, {37, 4}, {37, 8}, {37, 9}, {37, 19}, {37, 29}, {37, 30}, {37, 34}, {37, 35}, {37, 38}, {37, 43}, {39, 6}, {39, 9}, {39, 13}, {39, 19}, {39, 20}, {39, 21}, {39, 27}, {39, 31}, {39, 34}, {39, 40}, {39, 43}, {41, 4}, {41, 8}, {41, 9}, {41, 13}, {41, 19}, {41, 21}, {41, 23}, {41, 29}, {41, 33}, {41, 34}, {41, 38}, {42, 3}, {42, 8}, {42, 9}, {42, 13}, {42, 20}, {42, 23}, {42, 30}, {42, 34}, {42, 35}, {42, 40}, {42, 43}} -> (16 + (5*I)*Sqrt[43])/9261 +{{3, 2}, {3, 5}, {3, 10}, {3, 11}, {3, 15}, {3, 22}, {3, 25}, {3, 32}, {3, 36}, {3, 37}, {3, 42}, {4, 7}, {4, 11}, {4, 12}, {4, 16}, {4, 22}, {4, 24}, {4, 26}, {4, 32}, {4, 36}, {4, 37}, {4, 41}, {6, 2}, {6, 5}, {6, 11}, {6, 14}, {6, 18}, {6, 24}, {6, 25}, {6, 26}, {6, 32}, {6, 36}, {6, 39}, {8, 2}, {8, 7}, {8, 10}, {8, 11}, {8, 15}, {8, 16}, {8, 26}, {8, 36}, {8, 37}, {8, 41}, {8, 42}, {9, 5}, {9, 11}, {9, 12}, {9, 14}, {9, 16}, {9, 17}, {9, 36}, {9, 37}, {9, 39}, {9, 41}, {9, 42}, {13, 2}, {13, 7}, {13, 12}, {13, 15}, {13, 16}, {13, 18}, {13, 25}, {13, 32}, {13, 39}, {13, 41}, {13, 42}, {19, 2}, {19, 5}, {19, 10}, {19, 15}, {19, 18}, {19, 22}, {19, 24}, {19, 26}, {19, 37}, {19, 39}, {19, 41}, {20, 5}, {20, 7}, {20, 10}, {20, 11}, {20, 14}, {20, 16}, {20, 22}, {20, 25}, {20, 32}, {20, 39}, {20, 42}, {21, 5}, {21, 7}, {21, 10}, {21, 11}, {21, 12}, {21, 15}, {21, 17}, {21, 24}, {21, 26}, {21, 39}, {21, 41}, {23, 2}, {23, 7}, {23, 10}, {23, 12}, {23, 14}, {23, 17}, {23, 22}, {23, 25}, {23, 26}, {23, 41}, {23, 42}, {27, 2}, {27, 10}, {27, 11}, {27, 12}, {27, 14}, {27, 16}, {27, 17}, {27, 18}, {27, 26}, {27, 32}, {27, 39}, {28, 5}, {28, 7}, {28, 11}, {28, 12}, {28, 14}, {28, 15}, {28, 17}, {28, 18}, {28, 22}, {28, 24}, {28, 36}, {29, 5}, {29, 12}, {29, 14}, {29, 15}, {29, 16}, {29, 18}, {29, 25}, {29, 32}, {29, 36}, {29, 37}, {29, 41}, {30, 5}, {30, 7}, {30, 14}, {30, 15}, {30, 16}, {30, 17}, {30, 24}, {30, 26}, {30, 32}, {30, 37}, {30, 42}, {31, 7}, {31, 10}, {31, 14}, {31, 15}, {31, 16}, {31, 17}, {31, 18}, {31, 22}, {31, 25}, {31, 36}, {31, 39}, {33, 2}, {33, 10}, {33, 12}, {33, 16}, {33, 17}, {33, 18}, {33, 22}, {33, 24}, {33, 32}, {33, 36}, {33, 41}, {34, 10}, {34, 11}, {34, 17}, {34, 18}, {34, 24}, {34, 25}, {34, 36}, {34, 37}, {34, 39}, {34, 41}, {34, 42}, {35, 10}, {35, 11}, {35, 12}, {35, 14}, {35, 18}, {35, 22}, {35, 24}, {35, 25}, {35, 26}, {35, 37}, {35, 42}, {38, 2}, {38, 7}, {38, 14}, {38, 15}, {38, 17}, {38, 22}, {38, 24}, {38, 25}, {38, 32}, {38, 37}, {38, 41}, {40, 2}, {40, 5}, {40, 15}, {40, 16}, {40, 17}, {40, 24}, {40, 25}, {40, 26}, {40, 36}, {40, 39}, {40, 42}, {43, 2}, {43, 5}, {43, 7}, {43, 12}, {43, 18}, {43, 22}, {43, 26}, {43, 32}, {43, 37}, {43, 39}, {43, 42}} -> (16 - (5*I)*Sqrt[43])/9261 +{{2, 4}, {2, 9}, {2, 11}, {2, 12}, {2, 15}, {2, 16}, {2, 17}, {2, 18}, {2, 20}, {2, 21}, {2, 25}, {2, 26}, {2, 28}, {2, 29}, {2, 30}, {2, 31}, {2, 34}, {2, 35}, {2, 37}, {2, 42}, {3, 4}, {3, 9}, {3, 13}, {3, 19}, {3, 20}, {3, 27}, {3, 28}, {3, 34}, {3, 38}, {3, 43}, {4, 8}, {4, 13}, {4, 19}, {4, 20}, {4, 21}, {4, 27}, {4, 28}, {4, 29}, {4, 35}, {4, 40}, {5, 2}, {5, 4}, {5, 8}, {5, 11}, {5, 13}, {5, 14}, {5, 15}, {5, 16}, {5, 18}, {5, 22}, {5, 23}, {5, 26}, {5, 27}, {5, 31}, {5, 33}, {5, 34}, {5, 35}, {5, 36}, {5, 38}, {5, 41}, {6, 3}, {6, 4}, {6, 19}, {6, 20}, {6, 21}, {6, 23}, {6, 27}, {6, 29}, {6, 30}, {6, 31}, {7, 2}, {7, 3}, {7, 5}, {7, 6}, {7, 9}, {7, 11}, {7, 16}, {7, 17}, {7, 18}, {7, 19}, {7, 22}, {7, 24}, {7, 27}, {7, 29}, {7, 32}, {7, 33}, {7, 34}, {7, 35}, {7, 40}, {7, 42}, {8, 3}, {8, 6}, {8, 9}, {8, 19}, {8, 21}, {8, 23}, {8, 29}, {8, 31}, {8, 33}, {8, 43}, {9, 4}, {9, 6}, {9, 13}, {9, 19}, {9, 20}, {9, 23}, {9, 30}, {9, 33}, {9, 34}, {9, 40}, {10, 2}, {10, 4}, {10, 5}, {10, 6}, {10, 7}, {10, 9}, {10, 11}, {10, 13}, {10, 14}, {10, 16}, {10, 24}, {10, 25}, {10, 26}, {10, 28}, {10, 29}, {10, 30}, {10, 38}, {10, 40}, {10, 41}, {10, 43}, {11, 12}, {11, 13}, {11, 15}, {11, 17}, {11, 19}, {11, 22}, {11, 23}, {11, 24}, {11, 25}, {11, 26}, {11, 29}, {11, 30}, {11, 31}, {11, 32}, {11, 33}, {11, 36}, {11, 38}, {11, 40}, {11, 42}, {11, 43}, {12, 3}, {12, 5}, {12, 6}, {12, 7}, {12, 8}, {12, 10}, {12, 16}, {12, 18}, {12, 19}, {12, 20}, {12, 22}, {12, 25}, {12, 26}, {12, 30}, {12, 31}, {12, 34}, {12, 36}, {12, 37}, {12, 38}, {12, 40}, {13, 6}, {13, 8}, {13, 19}, {13, 23}, {13, 27}, {13, 28}, {13, 29}, {13, 30}, {13, 34}, {13, 38}, {14, 2}, {14, 3}, {14, 4}, {14, 7}, {14, 8}, {14, 11}, {14, 12}, {14, 13}, {14, 15}, {14, 18}, {14, 19}, {14, 21}, {14, 24}, {14, 25}, {14, 33}, {14, 34}, {14, 37}, {14, 39}, {14, 40}, {14, 43}, {15, 4}, {15, 6}, {15, 7}, {15, 9}, {15, 10}, {15, 12}, {15, 16}, {15, 20}, {15, 23}, {15, 24}, {15, 25}, {15, 26}, {15, 27}, {15, 32}, {15, 33}, {15, 34}, {15, 35}, {15, 36}, {15, 39}, {15, 43}, {16, 3}, {16, 6}, {16, 11}, {16, 14}, {16, 17}, {16, 19}, {16, 21}, {16, 22}, {16, 23}, {16, 25}, {16, 26}, {16, 28}, {16, 32}, {16, 34}, {16, 35}, {16, 37}, {16, 38}, {16, 39}, {16, 41}, {16, 43}, {17, 3}, {17, 4}, {17, 5}, {17, 6}, {17, 8}, {17, 10}, {17, 12}, {17, 13}, {17, 14}, {17, 15}, {17, 18}, {17, 19}, {17, 20}, {17, 26}, {17, 29}, {17, 32}, {17, 35}, {17, 41}, {17, 42}, {17, 43}, {18, 3}, {18, 4}, {18, 8}, {18, 9}, {18, 10}, {18, 11}, {18, 15}, {18, 16}, {18, 20}, {18, 21}, {18, 22}, {18, 23}, {18, 24}, {18, 30}, {18, 32}, {18, 38}, {18, 39}, {18, 40}, {18, 41}, {18, 42}, {19, 20}, {19, 23}, {19, 28}, {19, 29}, {19, 30}, {19, 33}, {19, 34}, {19, 35}, {19, 40}, {19, 43}, {20, 8}, {20, 13}, {20, 21}, {20, 29}, {20, 30}, {20, 31}, {20, 33}, {20, 34}, {20, 35}, {20, 43}, {21, 3}, {21, 9}, {21, 13}, {21, 19}, {21, 27}, {21, 30}, {21, 31}, {21, 34}, {21, 35}, {21, 38}, {22, 2}, {22, 6}, {22, 8}, {22, 9}, {22, 10}, {22, 13}, {22, 14}, {22, 15}, {22, 17}, {22, 21}, {22, 26}, {22, 27}, {22, 29}, {22, 30}, {22, 32}, {22, 34}, {22, 36}, {22, 37}, {22, 39}, {22, 40}, {23, 3}, {23, 4}, {23, 20}, {23, 21}, {23, 27}, {23, 29}, {23, 33}, {23, 34}, {23, 38}, {23, 40}, {24, 2}, {24, 3}, {24, 5}, {24, 8}, {24, 9}, {24, 12}, {24, 13}, {24, 16}, {24, 17}, {24, 20}, {24, 22}, {24, 23}, {24, 25}, {24, 27}, {24, 29}, {24, 31}, {24, 37}, {24, 39}, {24, 41}, {24, 43}, {25, 4}, {25, 5}, {25, 7}, {25, 8}, {25, 9}, {25, 17}, {25, 18}, {25, 19}, {25, 21}, {25, 22}, {25, 26}, {25, 27}, {25, 28}, {25, 30}, {25, 33}, {25, 36}, {25, 39}, {25, 41}, {25, 42}, {25, 43}, {26, 3}, {26, 7}, {26, 9}, {26, 13}, {26, 14}, {26, 18}, {26, 20}, {26, 24}, {26, 28}, {26, 29}, {26, 31}, {26, 32}, {26, 33}, {26, 34}, {26, 36}, {26, 37}, {26, 38}, {26, 39}, {26, 41}, {26, 42}, {27, 8}, {27, 9}, {27, 19}, {27, 20}, {27, 28}, {27, 31}, {27, 33}, {27, 38}, {27, 40}, {27, 43}, {28, 6}, {28, 8}, {28, 9}, {28, 20}, {28, 21}, {28, 23}, {28, 29}, {28, 34}, {28, 38}, {28, 43}, {29, 3}, {29, 9}, {29, 21}, {29, 27}, {29, 30}, {29, 33}, {29, 35}, {29, 38}, {29, 40}, {29, 43}, {30, 3}, {30, 4}, {30, 8}, {30, 23}, {30, 27}, {30, 28}, {30, 31}, {30, 34}, {30, 40}, {30, 43}, {31, 3}, {31, 4}, {31, 9}, {31, 13}, {31, 19}, {31, 23}, {31, 28}, {31, 29}, {31, 35}, {31, 40}, {32, 2}, {32, 5}, {32, 8}, {32, 9}, {32, 10}, {32, 12}, {32, 14}, {32, 19}, {32, 21}, {32, 23}, {32, 24}, {32, 25}, {32, 28}, {32, 31}, {32, 34}, {32, 35}, {32, 36}, {32, 40}, {32, 41}, {32, 42}, {33, 3}, {33, 4}, {33, 6}, {33, 13}, {33, 21}, {33, 28}, {33, 30}, {33, 31}, {33, 34}, {33, 43}, {34, 4}, {34, 6}, {34, 8}, {34, 27}, {34, 29}, {34, 31}, {34, 35}, {34, 38}, {34, 40}, {34, 43}, {35, 3}, {35, 6}, {35, 8}, {35, 9}, {35, 13}, {35, 23}, {35, 27}, {35, 28}, {35, 30}, {35, 33}, {36, 2}, {36, 7}, {36, 10}, {36, 13}, {36, 14}, {36, 16}, {36, 17}, {36, 18}, {36, 19}, {36, 20}, {36, 21}, {36, 23}, {36, 24}, {36, 27}, {36, 30}, {36, 35}, {36, 37}, {36, 38}, {36, 42}, {36, 43}, {37, 5}, {37, 6}, {37, 7}, {37, 10}, {37, 11}, {37, 13}, {37, 15}, {37, 17}, {37, 18}, {37, 20}, {37, 21}, {37, 23}, {37, 25}, {37, 27}, {37, 28}, {37, 31}, {37, 32}, {37, 33}, {37, 40}, {37, 41}, {38, 4}, {38, 6}, {38, 8}, {38, 9}, {38, 19}, {38, 20}, {38, 30}, {38, 31}, {38, 33}, {38, 35}, {39, 2}, {39, 3}, {39, 4}, {39, 5}, {39, 7}, {39, 8}, {39, 10}, {39, 11}, {39, 12}, {39, 17}, {39, 23}, {39, 28}, {39, 29}, {39, 30}, {39, 32}, {39, 33}, {39, 35}, {39, 36}, {39, 37}, {39, 38}, {40, 3}, {40, 6}, {40, 8}, {40, 13}, {40, 20}, {40, 21}, {40, 28}, {40, 33}, {40, 35}, {40, 38}, {41, 2}, {41, 3}, {41, 6}, {41, 7}, {41, 11}, {41, 12}, {41, 14}, {41, 15}, {41, 20}, {41, 22}, {41, 27}, {41, 28}, {41, 30}, {41, 31}, {41, 35}, {41, 36}, {41, 39}, {41, 40}, {41, 42}, {41, 43}, {42, 4}, {42, 5}, {42, 6}, {42, 10}, {42, 12}, {42, 14}, {42, 15}, {42, 16}, {42, 19}, {42, 21}, {42, 22}, {42, 24}, {42, 27}, {42, 28}, {42, 29}, {42, 31}, {42, 33}, {42, 37}, {42, 38}, {42, 39}, {43, 4}, {43, 6}, {43, 9}, {43, 13}, {43, 21}, {43, 23}, {43, 31}, {43, 35}, {43, 38}, {43, 40}} -> ((11*I)/18522)*(I + Sqrt[43]) +{{2, 5}, {2, 7}, {2, 10}, {2, 14}, {2, 22}, {2, 24}, {2, 32}, {2, 36}, {2, 39}, {2, 41}, {3, 6}, {3, 7}, {3, 8}, {3, 12}, {3, 14}, {3, 16}, {3, 17}, {3, 18}, {3, 21}, {3, 23}, {3, 24}, {3, 26}, {3, 29}, {3, 30}, {3, 31}, {3, 33}, {3, 35}, {3, 39}, {3, 40}, {3, 41}, {4, 2}, {4, 3}, {4, 5}, {4, 6}, {4, 9}, {4, 10}, {4, 14}, {4, 15}, {4, 17}, {4, 18}, {4, 23}, {4, 25}, {4, 30}, {4, 31}, {4, 33}, {4, 34}, {4, 38}, {4, 39}, {4, 42}, {4, 43}, {5, 7}, {5, 10}, {5, 12}, {5, 17}, {5, 24}, {5, 25}, {5, 32}, {5, 37}, {5, 39}, {5, 42}, {6, 7}, {6, 8}, {6, 9}, {6, 10}, {6, 12}, {6, 13}, {6, 15}, {6, 16}, {6, 17}, {6, 22}, {6, 28}, {6, 33}, {6, 34}, {6, 35}, {6, 37}, {6, 38}, {6, 40}, {6, 41}, {6, 42}, {6, 43}, {7, 10}, {7, 12}, {7, 14}, {7, 15}, {7, 25}, {7, 26}, {7, 36}, {7, 37}, {7, 39}, {7, 41}, {8, 4}, {8, 5}, {8, 12}, {8, 13}, {8, 14}, {8, 17}, {8, 18}, {8, 20}, {8, 22}, {8, 24}, {8, 25}, {8, 27}, {8, 28}, {8, 30}, {8, 32}, {8, 34}, {8, 35}, {8, 38}, {8, 39}, {8, 40}, {9, 2}, {9, 3}, {9, 7}, {9, 8}, {9, 10}, {9, 15}, {9, 18}, {9, 21}, {9, 22}, {9, 24}, {9, 25}, {9, 26}, {9, 27}, {9, 28}, {9, 29}, {9, 31}, {9, 32}, {9, 35}, {9, 38}, {9, 43}, {10, 12}, {10, 15}, {10, 17}, {10, 18}, {10, 22}, {10, 32}, {10, 36}, {10, 37}, {10, 39}, {10, 42}, {11, 2}, {11, 5}, {11, 7}, {11, 10}, {11, 14}, {11, 16}, {11, 18}, {11, 37}, {11, 39}, {11, 41}, {12, 2}, {12, 11}, {12, 14}, {12, 15}, {12, 17}, {12, 24}, {12, 32}, {12, 39}, {12, 41}, {12, 42}, {13, 3}, {13, 4}, {13, 5}, {13, 9}, {13, 10}, {13, 11}, {13, 14}, {13, 17}, {13, 20}, {13, 21}, {13, 22}, {13, 24}, {13, 26}, {13, 31}, {13, 33}, {13, 35}, {13, 36}, {13, 37}, {13, 40}, {13, 43}, {14, 5}, {14, 10}, {14, 16}, {14, 17}, {14, 22}, {14, 26}, {14, 32}, {14, 36}, {14, 41}, {14, 42}, {15, 2}, {15, 5}, {15, 11}, {15, 14}, {15, 17}, {15, 18}, {15, 22}, {15, 37}, {15, 41}, {15, 42}, {16, 2}, {16, 5}, {16, 7}, {16, 10}, {16, 12}, {16, 15}, {16, 18}, {16, 24}, {16, 36}, {16, 42}, {17, 2}, {17, 7}, {17, 11}, {17, 16}, {17, 22}, {17, 24}, {17, 25}, {17, 36}, {17, 37}, {17, 39}, {18, 2}, {18, 5}, {18, 7}, {18, 12}, {18, 14}, {18, 17}, {18, 25}, {18, 26}, {18, 36}, {18, 37}, {19, 3}, {19, 4}, {19, 6}, {19, 7}, {19, 8}, {19, 9}, {19, 11}, {19, 12}, {19, 13}, {19, 14}, {19, 16}, {19, 17}, {19, 21}, {19, 25}, {19, 27}, {19, 31}, {19, 32}, {19, 36}, {19, 38}, {19, 42}, {20, 2}, {20, 3}, {20, 4}, {20, 6}, {20, 9}, {20, 12}, {20, 15}, {20, 17}, {20, 18}, {20, 19}, {20, 23}, {20, 24}, {20, 26}, {20, 27}, {20, 28}, {20, 36}, {20, 37}, {20, 38}, {20, 40}, {20, 41}, {21, 2}, {21, 4}, {21, 6}, {21, 8}, {21, 14}, {21, 16}, {21, 18}, {21, 20}, {21, 22}, {21, 23}, {21, 25}, {21, 28}, {21, 29}, {21, 32}, {21, 33}, {21, 36}, {21, 37}, {21, 40}, {21, 42}, {21, 43}, {22, 5}, {22, 7}, {22, 11}, {22, 12}, {22, 16}, {22, 18}, {22, 24}, {22, 25}, {22, 41}, {22, 42}, {23, 5}, {23, 6}, {23, 8}, {23, 9}, {23, 11}, {23, 13}, {23, 15}, {23, 16}, {23, 18}, {23, 19}, {23, 24}, {23, 28}, {23, 30}, {23, 31}, {23, 32}, {23, 35}, {23, 36}, {23, 37}, {23, 39}, {23, 43}, {24, 7}, {24, 10}, {24, 11}, {24, 14}, {24, 15}, {24, 18}, {24, 26}, {24, 32}, {24, 36}, {24, 42}, {25, 2}, {25, 10}, {25, 11}, {25, 12}, {25, 14}, {25, 15}, {25, 16}, {25, 24}, {25, 32}, {25, 37}, {26, 2}, {26, 5}, {26, 10}, {26, 11}, {26, 12}, {26, 15}, {26, 16}, {26, 17}, {26, 22}, {26, 25}, {27, 3}, {27, 4}, {27, 5}, {27, 6}, {27, 7}, {27, 13}, {27, 15}, {27, 21}, {27, 22}, {27, 23}, {27, 24}, {27, 25}, {27, 29}, {27, 30}, {27, 34}, {27, 35}, {27, 36}, {27, 37}, {27, 41}, {27, 42}, {28, 2}, {28, 3}, {28, 4}, {28, 10}, {28, 13}, {28, 16}, {28, 19}, {28, 25}, {28, 26}, {28, 27}, {28, 30}, {28, 31}, {28, 32}, {28, 33}, {28, 35}, {28, 37}, {28, 39}, {28, 40}, {28, 41}, {28, 42}, {29, 2}, {29, 4}, {29, 6}, {29, 7}, {29, 8}, {29, 10}, {29, 11}, {29, 13}, {29, 17}, {29, 19}, {29, 20}, {29, 22}, {29, 23}, {29, 24}, {29, 26}, {29, 28}, {29, 31}, {29, 34}, {29, 39}, {29, 42}, {30, 2}, {30, 6}, {30, 9}, {30, 10}, {30, 11}, {30, 12}, {30, 13}, {30, 18}, {30, 19}, {30, 20}, {30, 21}, {30, 22}, {30, 25}, {30, 29}, {30, 33}, {30, 35}, {30, 36}, {30, 38}, {30, 39}, {30, 41}, {31, 2}, {31, 5}, {31, 6}, {31, 8}, {31, 11}, {31, 12}, {31, 20}, {31, 21}, {31, 24}, {31, 26}, {31, 27}, {31, 30}, {31, 32}, {31, 33}, {31, 34}, {31, 37}, {31, 38}, {31, 41}, {31, 42}, {31, 43}, {32, 7}, {32, 11}, {32, 15}, {32, 16}, {32, 17}, {32, 18}, {32, 22}, {32, 26}, {32, 37}, {32, 39}, {33, 5}, {33, 7}, {33, 8}, {33, 9}, {33, 11}, {33, 14}, {33, 15}, {33, 19}, {33, 20}, {33, 23}, {33, 25}, {33, 26}, {33, 27}, {33, 29}, {33, 35}, {33, 37}, {33, 38}, {33, 39}, {33, 40}, {33, 42}, {34, 2}, {34, 3}, {34, 5}, {34, 7}, {34, 9}, {34, 12}, {34, 13}, {34, 14}, {34, 15}, {34, 16}, {34, 19}, {34, 20}, {34, 21}, {34, 22}, {34, 23}, {34, 26}, {34, 28}, {34, 30}, {34, 32}, {34, 33}, {35, 2}, {35, 4}, {35, 5}, {35, 7}, {35, 15}, {35, 16}, {35, 17}, {35, 19}, {35, 20}, {35, 21}, {35, 29}, {35, 31}, {35, 32}, {35, 34}, {35, 36}, {35, 38}, {35, 39}, {35, 40}, {35, 41}, {35, 43}, {36, 5}, {36, 11}, {36, 12}, {36, 15}, {36, 22}, {36, 25}, {36, 26}, {36, 32}, {36, 39}, {36, 41}, {37, 2}, {37, 12}, {37, 14}, {37, 16}, {37, 22}, {37, 24}, {37, 26}, {37, 36}, {37, 39}, {37, 42}, {38, 3}, {38, 5}, {38, 10}, {38, 11}, {38, 12}, {38, 13}, {38, 16}, {38, 18}, {38, 21}, {38, 23}, {38, 26}, {38, 27}, {38, 28}, {38, 29}, {38, 34}, {38, 36}, {38, 39}, {38, 40}, {38, 42}, {38, 43}, {39, 14}, {39, 15}, {39, 16}, {39, 18}, {39, 22}, {39, 24}, {39, 25}, {39, 26}, {39, 41}, {39, 42}, {40, 4}, {40, 7}, {40, 9}, {40, 10}, {40, 11}, {40, 12}, {40, 14}, {40, 18}, {40, 19}, {40, 22}, {40, 23}, {40, 27}, {40, 29}, {40, 30}, {40, 31}, {40, 32}, {40, 34}, {40, 37}, {40, 41}, {40, 43}, {41, 5}, {41, 10}, {41, 16}, {41, 17}, {41, 18}, {41, 24}, {41, 25}, {41, 26}, {41, 32}, {41, 37}, {42, 2}, {42, 7}, {42, 11}, {42, 17}, {42, 18}, {42, 25}, {42, 26}, {42, 32}, {42, 36}, {42, 41}, {43, 3}, {43, 8}, {43, 10}, {43, 11}, {43, 14}, {43, 15}, {43, 16}, {43, 17}, {43, 19}, {43, 20}, {43, 24}, {43, 25}, {43, 27}, {43, 28}, {43, 29}, {43, 30}, {43, 33}, {43, 34}, {43, 36}, {43, 41}} -> ((-11*I)/18522)*(-I + Sqrt[43]) diff --git a/etf_23x47_6a.exa b/etf_23x47_6a.exa new file mode 100644 index 0000000..d3fd797 --- /dev/null +++ b/etf_23x47_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}} -> 12/529 +{{2, 6}, {2, 11}, {2, 14}, {2, 16}, {2, 20}, {2, 23}, {2, 27}, {2, 30}, {2, 34}, {2, 36}, {2, 39}, {2, 44}, {3, 6}, {3, 11}, {3, 12}, {3, 20}, {3, 21}, {3, 24}, {3, 27}, {3, 30}, {3, 31}, {3, 39}, {3, 40}, {3, 45}, {4, 6}, {4, 11}, {4, 12}, {4, 16}, {4, 20}, {4, 21}, {4, 31}, {4, 32}, {4, 36}, {4, 40}, {4, 41}, {4, 46}, {5, 6}, {5, 11}, {5, 12}, {5, 14}, {5, 21}, {5, 23}, {5, 30}, {5, 32}, {5, 39}, {5, 41}, {5, 42}, {5, 47}, {7, 11}, {7, 14}, {7, 16}, {7, 21}, {7, 23}, {7, 24}, {7, 31}, {7, 32}, {7, 34}, {7, 39}, {7, 41}, {7, 44}, {8, 11}, {8, 12}, {8, 14}, {8, 16}, {8, 20}, {8, 24}, {8, 32}, {8, 36}, {8, 40}, {8, 42}, {8, 44}, {8, 45}, {9, 11}, {9, 12}, {9, 16}, {9, 21}, {9, 23}, {9, 27}, {9, 30}, {9, 34}, {9, 36}, {9, 41}, {9, 45}, {9, 46}, {10, 11}, {10, 12}, {10, 14}, {10, 16}, {10, 24}, {10, 27}, {10, 31}, {10, 34}, {10, 42}, {10, 44}, {10, 46}, {10, 47}, {13, 14}, {13, 16}, {13, 20}, {13, 21}, {13, 27}, {13, 30}, {13, 31}, {13, 34}, {13, 40}, {13, 41}, {13, 45}, {13, 47}, {15, 16}, {15, 21}, {15, 23}, {15, 24}, {15, 27}, {15, 31}, {15, 32}, {15, 36}, {15, 39}, {15, 40}, {15, 42}, {15, 47}, {17, 6}, {17, 12}, {17, 20}, {17, 21}, {17, 23}, {17, 24}, {17, 31}, {17, 34}, {17, 41}, {17, 42}, {17, 44}, {17, 45}, {18, 20}, {18, 21}, {18, 24}, {18, 27}, {18, 30}, {18, 32}, {18, 34}, {18, 36}, {18, 39}, {18, 42}, {18, 45}, {18, 46}, {19, 6}, {19, 14}, {19, 20}, {19, 21}, {19, 23}, {19, 27}, {19, 31}, {19, 36}, {19, 40}, {19, 44}, {19, 46}, {19, 47}, {22, 11}, {22, 12}, {22, 23}, {22, 24}, {22, 30}, {22, 31}, {22, 34}, {22, 36}, {22, 39}, {22, 40}, {22, 46}, {22, 47}, {25, 6}, {25, 12}, {25, 14}, {25, 20}, {25, 27}, {25, 31}, {25, 32}, {25, 34}, {25, 39}, {25, 41}, {25, 42}, {25, 46}, {26, 6}, {26, 11}, {26, 16}, {26, 21}, {26, 27}, {26, 30}, {26, 32}, {26, 34}, {26, 40}, {26, 42}, {26, 44}, {26, 47}, {28, 6}, {28, 23}, {28, 30}, {28, 31}, {28, 32}, {28, 34}, {28, 36}, {28, 40}, {28, 42}, {28, 44}, {28, 45}, {28, 46}, {29, 6}, {29, 14}, {29, 16}, {29, 24}, {29, 30}, {29, 31}, {29, 32}, {29, 36}, {29, 41}, {29, 45}, {29, 46}, {29, 47}, {33, 11}, {33, 14}, {33, 20}, {33, 23}, {33, 34}, {33, 36}, {33, 39}, {33, 40}, {33, 41}, {33, 42}, {33, 45}, {33, 47}, {35, 6}, {35, 12}, {35, 16}, {35, 20}, {35, 24}, {35, 30}, {35, 36}, {35, 39}, {35, 41}, {35, 42}, {35, 44}, {35, 47}, {37, 6}, {37, 11}, {37, 14}, {37, 24}, {37, 27}, {37, 32}, {37, 39}, {37, 40}, {37, 41}, {37, 44}, {37, 45}, {37, 46}, {38, 12}, {38, 16}, {38, 23}, {38, 27}, {38, 39}, {38, 40}, {38, 41}, {38, 42}, {38, 44}, {38, 45}, {38, 46}, {38, 47}, {43, 12}, {43, 14}, {43, 20}, {43, 21}, {43, 23}, {43, 24}, {43, 30}, {43, 32}, {43, 44}, {43, 45}, {43, 46}, {43, 47}} -> (35 + (11*I)*Sqrt[47])/24334 +{{6, 2}, {6, 3}, {6, 4}, {6, 5}, {6, 17}, {6, 19}, {6, 25}, {6, 26}, {6, 28}, {6, 29}, {6, 35}, {6, 37}, {11, 2}, {11, 3}, {11, 4}, {11, 5}, {11, 7}, {11, 8}, {11, 9}, {11, 10}, {11, 22}, {11, 26}, {11, 33}, {11, 37}, {12, 3}, {12, 4}, {12, 5}, {12, 8}, {12, 9}, {12, 10}, {12, 17}, {12, 22}, {12, 25}, {12, 35}, {12, 38}, {12, 43}, {14, 2}, {14, 5}, {14, 7}, {14, 8}, {14, 10}, {14, 13}, {14, 19}, {14, 25}, {14, 29}, {14, 33}, {14, 37}, {14, 43}, {16, 2}, {16, 4}, {16, 7}, {16, 8}, {16, 9}, {16, 10}, {16, 13}, {16, 15}, {16, 26}, {16, 29}, {16, 35}, {16, 38}, {20, 2}, {20, 3}, {20, 4}, {20, 8}, {20, 13}, {20, 17}, {20, 18}, {20, 19}, {20, 25}, {20, 33}, {20, 35}, {20, 43}, {21, 3}, {21, 4}, {21, 5}, {21, 7}, {21, 9}, {21, 13}, {21, 15}, {21, 17}, {21, 18}, {21, 19}, {21, 26}, {21, 43}, {23, 2}, {23, 5}, {23, 7}, {23, 9}, {23, 15}, {23, 17}, {23, 19}, {23, 22}, {23, 28}, {23, 33}, {23, 38}, {23, 43}, {24, 3}, {24, 7}, {24, 8}, {24, 10}, {24, 15}, {24, 17}, {24, 18}, {24, 22}, {24, 29}, {24, 35}, {24, 37}, {24, 43}, {27, 2}, {27, 3}, {27, 9}, {27, 10}, {27, 13}, {27, 15}, {27, 18}, {27, 19}, {27, 25}, {27, 26}, {27, 37}, {27, 38}, {30, 2}, {30, 3}, {30, 5}, {30, 9}, {30, 13}, {30, 18}, {30, 22}, {30, 26}, {30, 28}, {30, 29}, {30, 35}, {30, 43}, {31, 3}, {31, 4}, {31, 7}, {31, 10}, {31, 13}, {31, 15}, {31, 17}, {31, 19}, {31, 22}, {31, 25}, {31, 28}, {31, 29}, {32, 4}, {32, 5}, {32, 7}, {32, 8}, {32, 15}, {32, 18}, {32, 25}, {32, 26}, {32, 28}, {32, 29}, {32, 37}, {32, 43}, {34, 2}, {34, 7}, {34, 9}, {34, 10}, {34, 13}, {34, 17}, {34, 18}, {34, 22}, {34, 25}, {34, 26}, {34, 28}, {34, 33}, {36, 2}, {36, 4}, {36, 8}, {36, 9}, {36, 15}, {36, 18}, {36, 19}, {36, 22}, {36, 28}, {36, 29}, {36, 33}, {36, 35}, {39, 2}, {39, 3}, {39, 5}, {39, 7}, {39, 15}, {39, 18}, {39, 22}, {39, 25}, {39, 33}, {39, 35}, {39, 37}, {39, 38}, {40, 3}, {40, 4}, {40, 8}, {40, 13}, {40, 15}, {40, 19}, {40, 22}, {40, 26}, {40, 28}, {40, 33}, {40, 37}, {40, 38}, {41, 4}, {41, 5}, {41, 7}, {41, 9}, {41, 13}, {41, 17}, {41, 25}, {41, 29}, {41, 33}, {41, 35}, {41, 37}, {41, 38}, {42, 5}, {42, 8}, {42, 10}, {42, 15}, {42, 17}, {42, 18}, {42, 25}, {42, 26}, {42, 28}, {42, 33}, {42, 35}, {42, 38}, {44, 2}, {44, 7}, {44, 8}, {44, 10}, {44, 17}, {44, 19}, {44, 26}, {44, 28}, {44, 35}, {44, 37}, {44, 38}, {44, 43}, {45, 3}, {45, 8}, {45, 9}, {45, 13}, {45, 17}, {45, 18}, {45, 28}, {45, 29}, {45, 33}, {45, 37}, {45, 38}, {45, 43}, {46, 4}, {46, 9}, {46, 10}, {46, 18}, {46, 19}, {46, 22}, {46, 25}, {46, 28}, {46, 29}, {46, 37}, {46, 38}, {46, 43}, {47, 5}, {47, 10}, {47, 13}, {47, 15}, {47, 19}, {47, 22}, {47, 26}, {47, 29}, {47, 33}, {47, 35}, {47, 38}, {47, 43}} -> (35 - (11*I)*Sqrt[47])/24334 +{{2, 3}, {2, 4}, {2, 5}, {2, 8}, {2, 9}, {2, 10}, {2, 12}, {2, 18}, {2, 19}, {2, 21}, {2, 24}, {2, 26}, {2, 29}, {2, 31}, {2, 32}, {2, 38}, {2, 40}, {2, 41}, {2, 42}, {2, 45}, {2, 46}, {2, 47}, {3, 4}, {3, 5}, {3, 7}, {3, 9}, {3, 10}, {3, 14}, {3, 15}, {3, 16}, {3, 17}, {3, 19}, {3, 23}, {3, 28}, {3, 32}, {3, 34}, {3, 35}, {3, 36}, {3, 37}, {3, 41}, {3, 42}, {3, 44}, {3, 46}, {3, 47}, {4, 5}, {4, 7}, {4, 8}, {4, 10}, {4, 13}, {4, 14}, {4, 18}, {4, 22}, {4, 23}, {4, 24}, {4, 25}, {4, 27}, {4, 28}, {4, 29}, {4, 30}, {4, 34}, {4, 38}, {4, 39}, {4, 42}, {4, 44}, {4, 45}, {4, 47}, {5, 7}, {5, 8}, {5, 9}, {5, 13}, {5, 16}, {5, 17}, {5, 19}, {5, 20}, {5, 22}, {5, 24}, {5, 26}, {5, 27}, {5, 29}, {5, 31}, {5, 33}, {5, 34}, {5, 36}, {5, 37}, {5, 40}, {5, 44}, {5, 45}, {5, 46}, {6, 12}, {6, 14}, {6, 20}, {6, 23}, {6, 24}, {6, 27}, {6, 30}, {6, 31}, {6, 34}, {6, 40}, {6, 42}, {7, 2}, {7, 6}, {7, 8}, {7, 9}, {7, 10}, {7, 12}, {7, 13}, {7, 15}, {7, 19}, {7, 20}, {7, 25}, {7, 27}, {7, 28}, {7, 30}, {7, 35}, {7, 36}, {7, 40}, {7, 42}, {7, 43}, {7, 45}, {7, 46}, {7, 47}, {8, 3}, {8, 6}, {8, 9}, {8, 10}, {8, 15}, {8, 17}, {8, 21}, {8, 22}, {8, 23}, {8, 25}, {8, 26}, {8, 27}, {8, 29}, {8, 30}, {8, 31}, {8, 33}, {8, 34}, {8, 35}, {8, 39}, {8, 41}, {8, 46}, {8, 47}, {9, 4}, {9, 6}, {9, 10}, {9, 13}, {9, 14}, {9, 15}, {9, 17}, {9, 18}, {9, 20}, {9, 24}, {9, 25}, {9, 26}, {9, 31}, {9, 32}, {9, 33}, {9, 37}, {9, 39}, {9, 40}, {9, 42}, {9, 43}, {9, 44}, {9, 47}, {10, 5}, {10, 6}, {10, 13}, {10, 17}, {10, 18}, {10, 19}, {10, 20}, {10, 21}, {10, 22}, {10, 23}, {10, 26}, {10, 28}, {10, 30}, {10, 32}, {10, 35}, {10, 36}, {10, 37}, {10, 38}, {10, 39}, {10, 40}, {10, 41}, {10, 45}, {11, 6}, {11, 12}, {11, 14}, {11, 20}, {11, 23}, {11, 27}, {11, 32}, {11, 36}, {11, 39}, {11, 45}, {11, 47}, {12, 14}, {12, 16}, {12, 20}, {12, 21}, {12, 24}, {12, 30}, {12, 36}, {12, 39}, {12, 40}, {12, 44}, {12, 46}, {13, 2}, {13, 3}, {13, 6}, {13, 8}, {13, 11}, {13, 12}, {13, 15}, {13, 17}, {13, 19}, {13, 22}, {13, 23}, {13, 24}, {13, 25}, {13, 29}, {13, 32}, {13, 36}, {13, 37}, {13, 38}, {13, 39}, {13, 42}, {13, 44}, {13, 46}, {14, 16}, {14, 20}, {14, 21}, {14, 23}, {14, 30}, {14, 31}, {14, 32}, {14, 39}, {14, 41}, {14, 42}, {14, 46}, {15, 2}, {15, 4}, {15, 5}, {15, 6}, {15, 10}, {15, 11}, {15, 12}, {15, 14}, {15, 17}, {15, 18}, {15, 19}, {15, 20}, {15, 22}, {15, 29}, {15, 30}, {15, 33}, {15, 34}, {15, 41}, {15, 43}, {15, 44}, {15, 45}, {15, 46}, {16, 6}, {16, 11}, {16, 20}, {16, 23}, {16, 24}, {16, 30}, {16, 32}, {16, 34}, {16, 40}, {16, 41}, {16, 44}, {17, 2}, {17, 4}, {17, 7}, {17, 11}, {17, 14}, {17, 16}, {17, 18}, {17, 19}, {17, 25}, {17, 26}, {17, 27}, {17, 29}, {17, 30}, {17, 32}, {17, 33}, {17, 35}, {17, 36}, {17, 38}, {17, 39}, {17, 40}, {17, 46}, {17, 47}, {18, 3}, {18, 5}, {18, 6}, {18, 7}, {18, 8}, {18, 11}, {18, 12}, {18, 13}, {18, 14}, {18, 16}, {18, 19}, {18, 22}, {18, 23}, {18, 25}, {18, 26}, {18, 31}, {18, 35}, {18, 40}, {18, 41}, {18, 43}, {18, 44}, {18, 47}, {19, 4}, {19, 8}, {19, 9}, {19, 11}, {19, 12}, {19, 16}, {19, 22}, {19, 24}, {19, 25}, {19, 26}, {19, 28}, {19, 30}, {19, 32}, {19, 33}, {19, 34}, {19, 35}, {19, 37}, {19, 39}, {19, 41}, {19, 42}, {19, 43}, {19, 45}, {20, 21}, {20, 23}, {20, 24}, {20, 27}, {20, 32}, {20, 34}, {20, 36}, {20, 41}, {20, 44}, {20, 45}, {20, 47}, {21, 6}, {21, 11}, {21, 16}, {21, 23}, {21, 24}, {21, 27}, {21, 30}, {21, 39}, {21, 42}, {21, 45}, {21, 46}, {22, 2}, {22, 3}, {22, 6}, {22, 7}, {22, 9}, {22, 14}, {22, 16}, {22, 17}, {22, 20}, {22, 21}, {22, 25}, {22, 26}, {22, 27}, {22, 28}, {22, 29}, {22, 32}, {22, 38}, {22, 41}, {22, 42}, {22, 43}, {22, 44}, {22, 45}, {23, 12}, {23, 24}, {23, 27}, {23, 30}, {23, 31}, {23, 32}, {23, 39}, {23, 40}, {23, 41}, {23, 44}, {23, 47}, {24, 11}, {24, 14}, {24, 27}, {24, 30}, {24, 31}, {24, 32}, {24, 36}, {24, 40}, {24, 41}, {24, 42}, {24, 45}, {25, 2}, {25, 3}, {25, 5}, {25, 10}, {25, 11}, {25, 15}, {25, 16}, {25, 21}, {25, 23}, {25, 24}, {25, 26}, {25, 28}, {25, 29}, {25, 30}, {25, 33}, {25, 36}, {25, 37}, {25, 40}, {25, 43}, {25, 44}, {25, 45}, {25, 47}, {26, 3}, {26, 4}, {26, 7}, {26, 12}, {26, 13}, {26, 14}, {26, 15}, {26, 20}, {26, 23}, {26, 24}, {26, 28}, {26, 29}, {26, 31}, {26, 33}, {26, 35}, {26, 36}, {26, 38}, {26, 39}, {26, 41}, {26, 43}, {26, 45}, {26, 46}, {27, 12}, {27, 14}, {27, 16}, {27, 30}, {27, 31}, {27, 34}, {27, 36}, {27, 39}, {27, 41}, {27, 44}, {27, 45}, {28, 2}, {28, 5}, {28, 8}, {28, 9}, {28, 11}, {28, 12}, {28, 13}, {28, 14}, {28, 15}, {28, 16}, {28, 17}, {28, 18}, {28, 20}, {28, 21}, {28, 24}, {28, 27}, {28, 29}, {28, 35}, {28, 37}, {28, 39}, {28, 41}, {28, 47}, {29, 3}, {29, 7}, {29, 9}, {29, 10}, {29, 11}, {29, 12}, {29, 18}, {29, 19}, {29, 20}, {29, 21}, {29, 23}, {29, 27}, {29, 33}, {29, 34}, {29, 35}, {29, 37}, {29, 38}, {29, 39}, {29, 40}, {29, 42}, {29, 43}, {29, 44}, {30, 11}, {30, 20}, {30, 31}, {30, 32}, {30, 34}, {30, 36}, {30, 39}, {30, 42}, {30, 44}, {30, 46}, {30, 47}, {31, 11}, {31, 12}, {31, 16}, {31, 20}, {31, 21}, {31, 32}, {31, 34}, {31, 39}, {31, 40}, {31, 45}, {31, 47}, {32, 6}, {32, 12}, {32, 21}, {32, 27}, {32, 34}, {32, 36}, {32, 39}, {32, 40}, {32, 41}, {32, 44}, {32, 46}, {33, 2}, {33, 3}, {33, 4}, {33, 6}, {33, 7}, {33, 10}, {33, 12}, {33, 13}, {33, 16}, {33, 18}, {33, 21}, {33, 22}, {33, 24}, {33, 27}, {33, 28}, {33, 30}, {33, 31}, {33, 32}, {33, 35}, {33, 37}, {33, 44}, {33, 46}, {34, 11}, {34, 12}, {34, 14}, {34, 21}, {34, 23}, {34, 24}, {34, 36}, {34, 40}, {34, 41}, {34, 42}, {34, 46}, {35, 2}, {35, 4}, {35, 5}, {35, 9}, {35, 11}, {35, 13}, {35, 14}, {35, 15}, {35, 21}, {35, 22}, {35, 23}, {35, 25}, {35, 27}, {35, 31}, {35, 32}, {35, 34}, {35, 37}, {35, 38}, {35, 40}, {35, 43}, {35, 45}, {35, 46}, {36, 6}, {36, 14}, {36, 16}, {36, 21}, {36, 23}, {36, 31}, {36, 39}, {36, 40}, {36, 42}, {36, 44}, {36, 45}, {37, 2}, {37, 4}, {37, 7}, {37, 8}, {37, 12}, {37, 15}, {37, 16}, {37, 17}, {37, 18}, {37, 20}, {37, 21}, {37, 22}, {37, 23}, {37, 26}, {37, 30}, {37, 31}, {37, 34}, {37, 36}, {37, 38}, {37, 42}, {37, 43}, {37, 47}, {38, 3}, {38, 5}, {38, 6}, {38, 7}, {38, 8}, {38, 9}, {38, 11}, {38, 14}, {38, 15}, {38, 18}, {38, 19}, {38, 20}, {38, 21}, {38, 24}, {38, 25}, {38, 28}, {38, 30}, {38, 31}, {38, 32}, {38, 33}, {38, 34}, {38, 36}, {39, 6}, {39, 16}, {39, 20}, {39, 24}, {39, 34}, {39, 40}, {39, 41}, {39, 42}, {39, 45}, {39, 46}, {39, 47}, {40, 11}, {40, 14}, {40, 20}, {40, 21}, {40, 27}, {40, 30}, {40, 41}, {40, 42}, {40, 44}, {40, 46}, {40, 47}, {41, 6}, {41, 11}, {41, 12}, {41, 21}, {41, 30}, {41, 31}, {41, 36}, {41, 42}, {41, 44}, {41, 45}, {41, 47}, {42, 11}, {42, 12}, {42, 16}, {42, 20}, {42, 23}, {42, 27}, {42, 31}, {42, 32}, {42, 44}, {42, 45}, {42, 46}, {43, 2}, {43, 3}, {43, 4}, {43, 5}, {43, 6}, {43, 8}, {43, 10}, {43, 11}, {43, 13}, {43, 16}, {43, 17}, {43, 27}, {43, 28}, {43, 31}, {43, 33}, {43, 34}, {43, 36}, {43, 38}, {43, 39}, {43, 40}, {43, 41}, {43, 42}, {44, 6}, {44, 11}, {44, 14}, {44, 21}, {44, 24}, {44, 31}, {44, 34}, {44, 39}, {44, 45}, {44, 46}, {44, 47}, {45, 6}, {45, 12}, {45, 14}, {45, 16}, {45, 23}, {45, 30}, {45, 32}, {45, 34}, {45, 40}, {45, 46}, {45, 47}, {46, 6}, {46, 11}, {46, 16}, {46, 20}, {46, 23}, {46, 24}, {46, 27}, {46, 31}, {46, 36}, {46, 41}, {46, 47}, {47, 6}, {47, 12}, {47, 14}, {47, 16}, {47, 21}, {47, 24}, {47, 27}, {47, 32}, {47, 34}, {47, 36}, {47, 42}} -> ((6*I)/12167)*(I + Sqrt[47]) +{{2, 7}, {2, 13}, {2, 15}, {2, 17}, {2, 22}, {2, 25}, {2, 28}, {2, 33}, {2, 35}, {2, 37}, {2, 43}, {3, 2}, {3, 8}, {3, 13}, {3, 18}, {3, 22}, {3, 25}, {3, 26}, {3, 29}, {3, 33}, {3, 38}, {3, 43}, {4, 2}, {4, 3}, {4, 9}, {4, 15}, {4, 17}, {4, 19}, {4, 26}, {4, 33}, {4, 35}, {4, 37}, {4, 43}, {5, 2}, {5, 3}, {5, 4}, {5, 10}, {5, 15}, {5, 18}, {5, 25}, {5, 28}, {5, 35}, {5, 38}, {5, 43}, {6, 7}, {6, 8}, {6, 9}, {6, 10}, {6, 11}, {6, 13}, {6, 15}, {6, 16}, {6, 18}, {6, 21}, {6, 22}, {6, 32}, {6, 33}, {6, 36}, {6, 38}, {6, 39}, {6, 41}, {6, 43}, {6, 44}, {6, 45}, {6, 46}, {6, 47}, {7, 3}, {7, 4}, {7, 5}, {7, 17}, {7, 18}, {7, 22}, {7, 26}, {7, 29}, {7, 33}, {7, 37}, {7, 38}, {8, 2}, {8, 4}, {8, 5}, {8, 7}, {8, 13}, {8, 18}, {8, 19}, {8, 28}, {8, 37}, {8, 38}, {8, 43}, {9, 2}, {9, 3}, {9, 5}, {9, 7}, {9, 8}, {9, 19}, {9, 22}, {9, 28}, {9, 29}, {9, 35}, {9, 38}, {10, 2}, {10, 3}, {10, 4}, {10, 7}, {10, 8}, {10, 9}, {10, 15}, {10, 25}, {10, 29}, {10, 33}, {10, 43}, {11, 13}, {11, 15}, {11, 16}, {11, 17}, {11, 18}, {11, 19}, {11, 21}, {11, 24}, {11, 25}, {11, 28}, {11, 29}, {11, 30}, {11, 31}, {11, 34}, {11, 35}, {11, 38}, {11, 40}, {11, 41}, {11, 42}, {11, 43}, {11, 44}, {11, 46}, {12, 2}, {12, 6}, {12, 7}, {12, 11}, {12, 13}, {12, 15}, {12, 18}, {12, 19}, {12, 23}, {12, 26}, {12, 27}, {12, 28}, {12, 29}, {12, 31}, {12, 32}, {12, 33}, {12, 34}, {12, 37}, {12, 41}, {12, 42}, {12, 45}, {12, 47}, {13, 4}, {13, 5}, {13, 7}, {13, 9}, {13, 10}, {13, 18}, {13, 26}, {13, 28}, {13, 33}, {13, 35}, {13, 43}, {14, 3}, {14, 4}, {14, 6}, {14, 9}, {14, 11}, {14, 12}, {14, 15}, {14, 17}, {14, 18}, {14, 22}, {14, 24}, {14, 26}, {14, 27}, {14, 28}, {14, 34}, {14, 35}, {14, 36}, {14, 38}, {14, 40}, {14, 44}, {14, 45}, {14, 47}, {15, 3}, {15, 7}, {15, 8}, {15, 9}, {15, 13}, {15, 25}, {15, 26}, {15, 28}, {15, 35}, {15, 37}, {15, 38}, {16, 3}, {16, 5}, {16, 12}, {16, 14}, {16, 17}, {16, 18}, {16, 19}, {16, 21}, {16, 22}, {16, 25}, {16, 27}, {16, 28}, {16, 31}, {16, 33}, {16, 36}, {16, 37}, {16, 39}, {16, 42}, {16, 43}, {16, 45}, {16, 46}, {16, 47}, {17, 3}, {17, 5}, {17, 8}, {17, 9}, {17, 10}, {17, 13}, {17, 15}, {17, 22}, {17, 28}, {17, 37}, {17, 43}, {18, 2}, {18, 4}, {18, 9}, {18, 10}, {18, 15}, {18, 17}, {18, 28}, {18, 29}, {18, 33}, {18, 37}, {18, 38}, {19, 2}, {19, 3}, {19, 5}, {19, 7}, {19, 10}, {19, 13}, {19, 15}, {19, 17}, {19, 18}, {19, 29}, {19, 38}, {20, 5}, {20, 6}, {20, 7}, {20, 9}, {20, 10}, {20, 11}, {20, 12}, {20, 14}, {20, 15}, {20, 16}, {20, 22}, {20, 26}, {20, 28}, {20, 29}, {20, 30}, {20, 31}, {20, 37}, {20, 38}, {20, 39}, {20, 40}, {20, 42}, {20, 46}, {21, 2}, {21, 8}, {21, 10}, {21, 12}, {21, 14}, {21, 20}, {21, 22}, {21, 25}, {21, 28}, {21, 29}, {21, 31}, {21, 32}, {21, 33}, {21, 34}, {21, 35}, {21, 36}, {21, 37}, {21, 38}, {21, 40}, {21, 41}, {21, 44}, {21, 47}, {22, 4}, {22, 5}, {22, 8}, {22, 10}, {22, 13}, {22, 15}, {22, 18}, {22, 19}, {22, 33}, {22, 35}, {22, 37}, {23, 3}, {23, 4}, {23, 6}, {23, 8}, {23, 10}, {23, 11}, {23, 13}, {23, 14}, {23, 16}, {23, 18}, {23, 20}, {23, 21}, {23, 25}, {23, 26}, {23, 29}, {23, 34}, {23, 35}, {23, 36}, {23, 37}, {23, 42}, {23, 45}, {23, 46}, {24, 2}, {24, 4}, {24, 5}, {24, 6}, {24, 9}, {24, 12}, {24, 13}, {24, 16}, {24, 19}, {24, 20}, {24, 21}, {24, 23}, {24, 25}, {24, 26}, {24, 28}, {24, 33}, {24, 34}, {24, 38}, {24, 39}, {24, 44}, {24, 46}, {24, 47}, {25, 4}, {25, 7}, {25, 8}, {25, 9}, {25, 13}, {25, 17}, {25, 18}, {25, 19}, {25, 22}, {25, 35}, {25, 38}, {26, 2}, {26, 5}, {26, 8}, {26, 9}, {26, 10}, {26, 17}, {26, 18}, {26, 19}, {26, 22}, {26, 25}, {26, 37}, {27, 4}, {27, 5}, {27, 6}, {27, 7}, {27, 8}, {27, 11}, {27, 17}, {27, 20}, {27, 21}, {27, 22}, {27, 23}, {27, 24}, {27, 28}, {27, 29}, {27, 32}, {27, 33}, {27, 35}, {27, 40}, {27, 42}, {27, 43}, {27, 46}, {27, 47}, {28, 3}, {28, 4}, {28, 7}, {28, 10}, {28, 19}, {28, 22}, {28, 25}, {28, 26}, {28, 33}, {28, 38}, {28, 43}, {29, 2}, {29, 4}, {29, 5}, {29, 8}, {29, 13}, {29, 15}, {29, 17}, {29, 22}, {29, 25}, {29, 26}, {29, 28}, {30, 4}, {30, 6}, {30, 7}, {30, 8}, {30, 10}, {30, 12}, {30, 14}, {30, 15}, {30, 16}, {30, 17}, {30, 19}, {30, 21}, {30, 23}, {30, 24}, {30, 25}, {30, 27}, {30, 33}, {30, 37}, {30, 38}, {30, 40}, {30, 41}, {30, 45}, {31, 2}, {31, 5}, {31, 6}, {31, 8}, {31, 9}, {31, 14}, {31, 18}, {31, 23}, {31, 24}, {31, 26}, {31, 27}, {31, 30}, {31, 33}, {31, 35}, {31, 36}, {31, 37}, {31, 38}, {31, 41}, {31, 42}, {31, 43}, {31, 44}, {31, 46}, {32, 2}, {32, 3}, {32, 9}, {32, 10}, {32, 11}, {32, 13}, {32, 14}, {32, 16}, {32, 17}, {32, 19}, {32, 20}, {32, 22}, {32, 23}, {32, 24}, {32, 30}, {32, 31}, {32, 33}, {32, 35}, {32, 38}, {32, 42}, {32, 45}, {32, 47}, {33, 5}, {33, 8}, {33, 9}, {33, 15}, {33, 17}, {33, 19}, {33, 25}, {33, 26}, {33, 29}, {33, 38}, {33, 43}, {34, 3}, {34, 4}, {34, 5}, {34, 6}, {34, 8}, {34, 15}, {34, 16}, {34, 19}, {34, 20}, {34, 27}, {34, 29}, {34, 30}, {34, 31}, {34, 32}, {34, 35}, {34, 37}, {34, 38}, {34, 39}, {34, 43}, {34, 44}, {34, 45}, {34, 47}, {35, 3}, {35, 7}, {35, 8}, {35, 10}, {35, 17}, {35, 18}, {35, 19}, {35, 26}, {35, 28}, {35, 29}, {35, 33}, {36, 3}, {36, 5}, {36, 7}, {36, 10}, {36, 11}, {36, 12}, {36, 13}, {36, 17}, {36, 20}, {36, 24}, {36, 25}, {36, 26}, {36, 27}, {36, 30}, {36, 32}, {36, 34}, {36, 37}, {36, 38}, {36, 41}, {36, 43}, {36, 46}, {36, 47}, {37, 3}, {37, 5}, {37, 9}, {37, 10}, {37, 13}, {37, 19}, {37, 25}, {37, 28}, {37, 29}, {37, 33}, {37, 35}, {38, 2}, {38, 4}, {38, 10}, {38, 13}, {38, 17}, {38, 22}, {38, 26}, {38, 29}, {38, 35}, {38, 37}, {38, 43}, {39, 4}, {39, 8}, {39, 9}, {39, 10}, {39, 11}, {39, 12}, {39, 13}, {39, 14}, {39, 17}, {39, 19}, {39, 21}, {39, 23}, {39, 26}, {39, 27}, {39, 28}, {39, 29}, {39, 30}, {39, 31}, {39, 32}, {39, 36}, {39, 43}, {39, 44}, {40, 2}, {40, 5}, {40, 6}, {40, 7}, {40, 9}, {40, 10}, {40, 12}, {40, 16}, {40, 17}, {40, 18}, {40, 23}, {40, 24}, {40, 25}, {40, 29}, {40, 31}, {40, 32}, {40, 34}, {40, 35}, {40, 36}, {40, 39}, {40, 43}, {40, 45}, {41, 2}, {41, 3}, {41, 8}, {41, 10}, {41, 14}, {41, 15}, {41, 16}, {41, 18}, {41, 19}, {41, 20}, {41, 22}, {41, 23}, {41, 24}, {41, 26}, {41, 27}, {41, 28}, {41, 32}, {41, 34}, {41, 39}, {41, 40}, {41, 43}, {41, 46}, {42, 2}, {42, 3}, {42, 4}, {42, 6}, {42, 7}, {42, 9}, {42, 13}, {42, 14}, {42, 19}, {42, 21}, {42, 22}, {42, 24}, {42, 29}, {42, 30}, {42, 34}, {42, 36}, {42, 37}, {42, 39}, {42, 40}, {42, 41}, {42, 43}, {42, 47}, {43, 7}, {43, 9}, {43, 15}, {43, 18}, {43, 19}, {43, 22}, {43, 25}, {43, 26}, {43, 29}, {43, 35}, {43, 37}, {44, 3}, {44, 4}, {44, 5}, {44, 9}, {44, 12}, {44, 13}, {44, 15}, {44, 16}, {44, 18}, {44, 20}, {44, 22}, {44, 23}, {44, 25}, {44, 27}, {44, 29}, {44, 30}, {44, 32}, {44, 33}, {44, 36}, {44, 40}, {44, 41}, {44, 42}, {45, 2}, {45, 4}, {45, 5}, {45, 7}, {45, 10}, {45, 11}, {45, 15}, {45, 19}, {45, 20}, {45, 21}, {45, 22}, {45, 24}, {45, 25}, {45, 26}, {45, 27}, {45, 31}, {45, 35}, {45, 36}, {45, 39}, {45, 41}, {45, 42}, {45, 44}, {46, 2}, {46, 3}, {46, 5}, {46, 7}, {46, 8}, {46, 12}, {46, 13}, {46, 14}, {46, 15}, {46, 17}, {46, 21}, {46, 26}, {46, 30}, {46, 32}, {46, 33}, {46, 34}, {46, 35}, {46, 39}, {46, 40}, {46, 42}, {46, 44}, {46, 45}, {47, 2}, {47, 3}, {47, 4}, {47, 7}, {47, 8}, {47, 9}, {47, 11}, {47, 17}, {47, 18}, {47, 20}, {47, 23}, {47, 25}, {47, 28}, {47, 30}, {47, 31}, {47, 37}, {47, 39}, {47, 40}, {47, 41}, {47, 44}, {47, 45}, {47, 46}} -> ((-6*I)/12167)*(-I + Sqrt[47]) diff --git a/etf_29x59_6a.exa b/etf_29x59_6a.exa new file mode 100644 index 0000000..d7c99bc --- /dev/null +++ b/etf_29x59_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}} -> 15/841 +{{2, 3}, {2, 7}, {2, 9}, {2, 11}, {2, 14}, {2, 19}, {2, 24}, {2, 31}, {2, 38}, {2, 43}, {2, 48}, {2, 51}, {2, 53}, {2, 55}, {2, 59}, {4, 7}, {4, 9}, {4, 11}, {4, 19}, {4, 24}, {4, 25}, {4, 31}, {4, 32}, {4, 33}, {4, 39}, {4, 40}, {4, 45}, {4, 53}, {4, 55}, {4, 57}, {5, 3}, {5, 9}, {5, 12}, {5, 14}, {5, 24}, {5, 25}, {5, 31}, {5, 32}, {5, 33}, {5, 34}, {5, 40}, {5, 41}, {5, 51}, {5, 53}, {5, 56}, {6, 7}, {6, 9}, {6, 11}, {6, 15}, {6, 25}, {6, 31}, {6, 32}, {6, 33}, {6, 34}, {6, 35}, {6, 41}, {6, 51}, {6, 55}, {6, 57}, {6, 59}, {8, 9}, {8, 11}, {8, 12}, {8, 15}, {8, 24}, {8, 25}, {8, 33}, {8, 34}, {8, 35}, {8, 43}, {8, 44}, {8, 53}, {8, 56}, {8, 57}, {8, 59}, {10, 11}, {10, 14}, {10, 15}, {10, 19}, {10, 25}, {10, 31}, {10, 32}, {10, 35}, {10, 38}, {10, 39}, {10, 45}, {10, 51}, {10, 55}, {10, 56}, {10, 59}, {13, 3}, {13, 7}, {13, 11}, {13, 14}, {13, 25}, {13, 32}, {13, 33}, {13, 34}, {13, 35}, {13, 38}, {13, 39}, {13, 40}, {13, 41}, {13, 48}, {13, 59}, {16, 3}, {16, 14}, {16, 19}, {16, 25}, {16, 31}, {16, 32}, {16, 33}, {16, 35}, {16, 38}, {16, 41}, {16, 43}, {16, 44}, {16, 45}, {16, 51}, {16, 57}, {17, 3}, {17, 7}, {17, 9}, {17, 11}, {17, 15}, {17, 24}, {17, 32}, {17, 33}, {17, 34}, {17, 38}, {17, 39}, {17, 43}, {17, 44}, {17, 45}, {17, 53}, {18, 7}, {18, 12}, {18, 19}, {18, 25}, {18, 33}, {18, 34}, {18, 35}, {18, 38}, {18, 39}, {18, 40}, {18, 43}, {18, 44}, {18, 45}, {18, 53}, {18, 59}, {20, 7}, {20, 9}, {20, 12}, {20, 14}, {20, 24}, {20, 25}, {20, 32}, {20, 35}, {20, 39}, {20, 40}, {20, 41}, {20, 45}, {20, 48}, {20, 55}, {20, 56}, {21, 3}, {21, 7}, {21, 11}, {21, 15}, {21, 19}, {21, 24}, {21, 25}, {21, 33}, {21, 38}, {21, 40}, {21, 41}, {21, 43}, {21, 48}, {21, 56}, {21, 57}, {22, 9}, {22, 11}, {22, 12}, {22, 14}, {22, 25}, {22, 31}, {22, 34}, {22, 38}, {22, 39}, {22, 41}, {22, 43}, {22, 44}, {22, 48}, {22, 51}, {22, 57}, {23, 9}, {23, 12}, {23, 15}, {23, 24}, {23, 32}, {23, 35}, {23, 38}, {23, 39}, {23, 40}, {23, 43}, {23, 44}, {23, 45}, {23, 48}, {23, 51}, {23, 59}, {26, 3}, {26, 12}, {26, 15}, {26, 24}, {26, 31}, {26, 33}, {26, 35}, {26, 38}, {26, 41}, {26, 43}, {26, 45}, {26, 48}, {26, 51}, {26, 53}, {26, 55}, {27, 3}, {27, 9}, {27, 14}, {27, 19}, {27, 25}, {27, 31}, {27, 32}, {27, 34}, {27, 39}, {27, 43}, {27, 44}, {27, 48}, {27, 53}, {27, 55}, {27, 56}, {28, 14}, {28, 15}, {28, 31}, {28, 32}, {28, 33}, {28, 35}, {28, 40}, {28, 43}, {28, 44}, {28, 45}, {28, 48}, {28, 53}, {28, 55}, {28, 56}, {28, 57}, {29, 11}, {29, 15}, {29, 19}, {29, 32}, {29, 33}, {29, 34}, {29, 38}, {29, 41}, {29, 44}, {29, 45}, {29, 48}, {29, 51}, {29, 55}, {29, 56}, {29, 57}, {30, 7}, {30, 12}, {30, 19}, {30, 24}, {30, 31}, {30, 33}, {30, 34}, {30, 35}, {30, 39}, {30, 45}, {30, 51}, {30, 55}, {30, 56}, {30, 57}, {30, 59}, {36, 3}, {36, 12}, {36, 25}, {36, 34}, {36, 39}, {36, 40}, {36, 41}, {36, 43}, {36, 45}, {36, 48}, {36, 51}, {36, 53}, {36, 55}, {36, 56}, {36, 57}, {37, 3}, {37, 7}, {37, 14}, {37, 19}, {37, 24}, {37, 31}, {37, 35}, {37, 38}, {37, 40}, {37, 41}, {37, 44}, {37, 53}, {37, 56}, {37, 57}, {37, 59}, {42, 3}, {42, 9}, {42, 11}, {42, 12}, {42, 19}, {42, 24}, {42, 31}, {42, 32}, {42, 34}, {42, 40}, {42, 43}, {42, 45}, {42, 51}, {42, 57}, {42, 59}, {46, 3}, {46, 7}, {46, 9}, {46, 12}, {46, 14}, {46, 15}, {46, 32}, {46, 33}, {46, 35}, {46, 38}, {46, 40}, {46, 44}, {46, 51}, {46, 53}, {46, 55}, {47, 3}, {47, 7}, {47, 9}, {47, 14}, {47, 15}, {47, 24}, {47, 33}, {47, 34}, {47, 39}, {47, 41}, {47, 45}, {47, 48}, {47, 51}, {47, 56}, {47, 59}, {49, 7}, {49, 9}, {49, 11}, {49, 12}, {49, 15}, {49, 19}, {49, 25}, {49, 31}, {49, 35}, {49, 38}, {49, 39}, {49, 41}, {49, 43}, {49, 53}, {49, 56}, {50, 3}, {50, 7}, {50, 11}, {50, 12}, {50, 19}, {50, 32}, {50, 39}, {50, 40}, {50, 44}, {50, 48}, {50, 51}, {50, 53}, {50, 55}, {50, 57}, {50, 59}, {52, 9}, {52, 12}, {52, 14}, {52, 15}, {52, 19}, {52, 34}, {52, 38}, {52, 39}, {52, 41}, {52, 44}, {52, 53}, {52, 55}, {52, 56}, {52, 57}, {52, 59}, {54, 7}, {54, 11}, {54, 12}, {54, 14}, {54, 15}, {54, 24}, {54, 31}, {54, 40}, {54, 41}, {54, 43}, {54, 44}, {54, 48}, {54, 55}, {54, 57}, {54, 59}, {58, 3}, {58, 11}, {58, 14}, {58, 15}, {58, 19}, {58, 24}, {58, 25}, {58, 34}, {58, 35}, {58, 40}, {58, 44}, {58, 45}, {58, 48}, {58, 56}, {58, 59}} -> (22 + (7*I)*Sqrt[59])/24389 +{{3, 2}, {3, 5}, {3, 13}, {3, 16}, {3, 17}, {3, 21}, {3, 26}, {3, 27}, {3, 36}, {3, 37}, {3, 42}, {3, 46}, {3, 47}, {3, 50}, {3, 58}, {7, 2}, {7, 4}, {7, 6}, {7, 13}, {7, 17}, {7, 18}, {7, 20}, {7, 21}, {7, 30}, {7, 37}, {7, 46}, {7, 47}, {7, 49}, {7, 50}, {7, 54}, {9, 2}, {9, 4}, {9, 5}, {9, 6}, {9, 8}, {9, 17}, {9, 20}, {9, 22}, {9, 23}, {9, 27}, {9, 42}, {9, 46}, {9, 47}, {9, 49}, {9, 52}, {11, 2}, {11, 4}, {11, 6}, {11, 8}, {11, 10}, {11, 13}, {11, 17}, {11, 21}, {11, 22}, {11, 29}, {11, 42}, {11, 49}, {11, 50}, {11, 54}, {11, 58}, {12, 5}, {12, 8}, {12, 18}, {12, 20}, {12, 22}, {12, 23}, {12, 26}, {12, 30}, {12, 36}, {12, 42}, {12, 46}, {12, 49}, {12, 50}, {12, 52}, {12, 54}, {14, 2}, {14, 5}, {14, 10}, {14, 13}, {14, 16}, {14, 20}, {14, 22}, {14, 27}, {14, 28}, {14, 37}, {14, 46}, {14, 47}, {14, 52}, {14, 54}, {14, 58}, {15, 6}, {15, 8}, {15, 10}, {15, 17}, {15, 21}, {15, 23}, {15, 26}, {15, 28}, {15, 29}, {15, 46}, {15, 47}, {15, 49}, {15, 52}, {15, 54}, {15, 58}, {19, 2}, {19, 4}, {19, 10}, {19, 16}, {19, 18}, {19, 21}, {19, 27}, {19, 29}, {19, 30}, {19, 37}, {19, 42}, {19, 49}, {19, 50}, {19, 52}, {19, 58}, {24, 2}, {24, 4}, {24, 5}, {24, 8}, {24, 17}, {24, 20}, {24, 21}, {24, 23}, {24, 26}, {24, 30}, {24, 37}, {24, 42}, {24, 47}, {24, 54}, {24, 58}, {25, 4}, {25, 5}, {25, 6}, {25, 8}, {25, 10}, {25, 13}, {25, 16}, {25, 18}, {25, 20}, {25, 21}, {25, 22}, {25, 27}, {25, 36}, {25, 49}, {25, 58}, {31, 2}, {31, 4}, {31, 5}, {31, 6}, {31, 10}, {31, 16}, {31, 22}, {31, 26}, {31, 27}, {31, 28}, {31, 30}, {31, 37}, {31, 42}, {31, 49}, {31, 54}, {32, 4}, {32, 5}, {32, 6}, {32, 10}, {32, 13}, {32, 16}, {32, 17}, {32, 20}, {32, 23}, {32, 27}, {32, 28}, {32, 29}, {32, 42}, {32, 46}, {32, 50}, {33, 4}, {33, 5}, {33, 6}, {33, 8}, {33, 13}, {33, 16}, {33, 17}, {33, 18}, {33, 21}, {33, 26}, {33, 28}, {33, 29}, {33, 30}, {33, 46}, {33, 47}, {34, 5}, {34, 6}, {34, 8}, {34, 13}, {34, 17}, {34, 18}, {34, 22}, {34, 27}, {34, 29}, {34, 30}, {34, 36}, {34, 42}, {34, 47}, {34, 52}, {34, 58}, {35, 6}, {35, 8}, {35, 10}, {35, 13}, {35, 16}, {35, 18}, {35, 20}, {35, 23}, {35, 26}, {35, 28}, {35, 30}, {35, 37}, {35, 46}, {35, 49}, {35, 58}, {38, 2}, {38, 10}, {38, 13}, {38, 16}, {38, 17}, {38, 18}, {38, 21}, {38, 22}, {38, 23}, {38, 26}, {38, 29}, {38, 37}, {38, 46}, {38, 49}, {38, 52}, {39, 4}, {39, 10}, {39, 13}, {39, 17}, {39, 18}, {39, 20}, {39, 22}, {39, 23}, {39, 27}, {39, 30}, {39, 36}, {39, 47}, {39, 49}, {39, 50}, {39, 52}, {40, 4}, {40, 5}, {40, 13}, {40, 18}, {40, 20}, {40, 21}, {40, 23}, {40, 28}, {40, 36}, {40, 37}, {40, 42}, {40, 46}, {40, 50}, {40, 54}, {40, 58}, {41, 5}, {41, 6}, {41, 13}, {41, 16}, {41, 20}, {41, 21}, {41, 22}, {41, 26}, {41, 29}, {41, 36}, {41, 37}, {41, 47}, {41, 49}, {41, 52}, {41, 54}, {43, 2}, {43, 8}, {43, 16}, {43, 17}, {43, 18}, {43, 21}, {43, 22}, {43, 23}, {43, 26}, {43, 27}, {43, 28}, {43, 36}, {43, 42}, {43, 49}, {43, 54}, {44, 8}, {44, 16}, {44, 17}, {44, 18}, {44, 22}, {44, 23}, {44, 27}, {44, 28}, {44, 29}, {44, 37}, {44, 46}, {44, 50}, {44, 52}, {44, 54}, {44, 58}, {45, 4}, {45, 10}, {45, 16}, {45, 17}, {45, 18}, {45, 20}, {45, 23}, {45, 26}, {45, 28}, {45, 29}, {45, 30}, {45, 36}, {45, 42}, {45, 47}, {45, 58}, {48, 2}, {48, 13}, {48, 20}, {48, 21}, {48, 22}, {48, 23}, {48, 26}, {48, 27}, {48, 28}, {48, 29}, {48, 36}, {48, 47}, {48, 50}, {48, 54}, {48, 58}, {51, 2}, {51, 5}, {51, 6}, {51, 10}, {51, 16}, {51, 22}, {51, 23}, {51, 26}, {51, 29}, {51, 30}, {51, 36}, {51, 42}, {51, 46}, {51, 47}, {51, 50}, {53, 2}, {53, 4}, {53, 5}, {53, 8}, {53, 17}, {53, 18}, {53, 26}, {53, 27}, {53, 28}, {53, 36}, {53, 37}, {53, 46}, {53, 49}, {53, 50}, {53, 52}, {55, 2}, {55, 4}, {55, 6}, {55, 10}, {55, 20}, {55, 26}, {55, 27}, {55, 28}, {55, 29}, {55, 30}, {55, 36}, {55, 46}, {55, 50}, {55, 52}, {55, 54}, {56, 5}, {56, 8}, {56, 10}, {56, 20}, {56, 21}, {56, 27}, {56, 28}, {56, 29}, {56, 30}, {56, 36}, {56, 37}, {56, 47}, {56, 49}, {56, 52}, {56, 58}, {57, 4}, {57, 6}, {57, 8}, {57, 16}, {57, 21}, {57, 22}, {57, 28}, {57, 29}, {57, 30}, {57, 36}, {57, 37}, {57, 42}, {57, 50}, {57, 52}, {57, 54}, {59, 2}, {59, 6}, {59, 8}, {59, 10}, {59, 13}, {59, 18}, {59, 23}, {59, 30}, {59, 37}, {59, 42}, {59, 47}, {59, 50}, {59, 52}, {59, 54}, {59, 58}} -> (22 - (7*I)*Sqrt[59])/24389 +{{2, 5}, {2, 6}, {2, 12}, {2, 15}, {2, 17}, {2, 18}, {2, 21}, {2, 22}, {2, 23}, {2, 25}, {2, 27}, {2, 28}, {2, 29}, {2, 30}, {2, 32}, {2, 33}, {2, 34}, {2, 35}, {2, 37}, {2, 39}, {2, 40}, {2, 41}, {2, 44}, {2, 45}, {2, 47}, {2, 50}, {2, 56}, {2, 57}, {3, 7}, {3, 12}, {3, 15}, {3, 19}, {3, 24}, {3, 25}, {3, 31}, {3, 32}, {3, 38}, {3, 39}, {3, 44}, {3, 48}, {3, 51}, {3, 56}, {4, 2}, {4, 3}, {4, 5}, {4, 8}, {4, 12}, {4, 13}, {4, 14}, {4, 15}, {4, 16}, {4, 20}, {4, 21}, {4, 23}, {4, 26}, {4, 29}, {4, 30}, {4, 34}, {4, 35}, {4, 38}, {4, 41}, {4, 43}, {4, 44}, {4, 48}, {4, 49}, {4, 50}, {4, 51}, {4, 52}, {4, 56}, {4, 59}, {5, 6}, {5, 7}, {5, 8}, {5, 10}, {5, 11}, {5, 15}, {5, 17}, {5, 19}, {5, 20}, {5, 21}, {5, 22}, {5, 26}, {5, 27}, {5, 30}, {5, 35}, {5, 38}, {5, 39}, {5, 43}, {5, 44}, {5, 45}, {5, 46}, {5, 48}, {5, 50}, {5, 54}, {5, 55}, {5, 57}, {5, 58}, {5, 59}, {6, 3}, {6, 4}, {6, 10}, {6, 12}, {6, 13}, {6, 14}, {6, 18}, {6, 19}, {6, 21}, {6, 22}, {6, 23}, {6, 24}, {6, 26}, {6, 27}, {6, 28}, {6, 38}, {6, 39}, {6, 40}, {6, 42}, {6, 43}, {6, 44}, {6, 45}, {6, 47}, {6, 48}, {6, 52}, {6, 53}, {6, 54}, {6, 56}, {7, 11}, {7, 12}, {7, 14}, {7, 19}, {7, 24}, {7, 32}, {7, 33}, {7, 34}, {7, 35}, {7, 43}, {7, 48}, {7, 53}, {7, 55}, {7, 56}, {8, 2}, {8, 3}, {8, 6}, {8, 7}, {8, 13}, {8, 14}, {8, 17}, {8, 19}, {8, 20}, {8, 23}, {8, 27}, {8, 28}, {8, 29}, {8, 30}, {8, 31}, {8, 32}, {8, 36}, {8, 37}, {8, 38}, {8, 39}, {8, 40}, {8, 41}, {8, 45}, {8, 48}, {8, 49}, {8, 51}, {8, 54}, {8, 55}, {9, 3}, {9, 7}, {9, 12}, {9, 14}, {9, 24}, {9, 25}, {9, 31}, {9, 34}, {9, 35}, {9, 38}, {9, 44}, {9, 45}, {9, 55}, {9, 57}, {10, 2}, {10, 3}, {10, 4}, {10, 7}, {10, 8}, {10, 9}, {10, 12}, {10, 13}, {10, 17}, {10, 22}, {10, 24}, {10, 26}, {10, 27}, {10, 29}, {10, 30}, {10, 33}, {10, 34}, {10, 36}, {10, 37}, {10, 40}, {10, 41}, {10, 43}, {10, 44}, {10, 46}, {10, 48}, {10, 53}, {10, 57}, {10, 58}, {11, 3}, {11, 9}, {11, 12}, {11, 14}, {11, 15}, {11, 31}, {11, 32}, {11, 33}, {11, 38}, {11, 39}, {11, 40}, {11, 56}, {11, 57}, {11, 59}, {12, 15}, {12, 19}, {12, 24}, {12, 31}, {12, 32}, {12, 33}, {12, 34}, {12, 38}, {12, 39}, {12, 40}, {12, 41}, {12, 48}, {12, 53}, {12, 57}, {13, 2}, {13, 5}, {13, 9}, {13, 12}, {13, 15}, {13, 16}, {13, 17}, {13, 18}, {13, 19}, {13, 20}, {13, 22}, {13, 24}, {13, 28}, {13, 29}, {13, 30}, {13, 31}, {13, 42}, {13, 43}, {13, 44}, {13, 45}, {13, 49}, {13, 51}, {13, 53}, {13, 54}, {13, 55}, {13, 56}, {13, 57}, {13, 58}, {14, 3}, {14, 12}, {14, 15}, {14, 19}, {14, 31}, {14, 33}, {14, 34}, {14, 35}, {14, 39}, {14, 40}, {14, 41}, {14, 43}, {14, 55}, {14, 59}, {15, 7}, {15, 9}, {15, 19}, {15, 24}, {15, 31}, {15, 32}, {15, 34}, {15, 35}, {15, 40}, {15, 41}, {15, 43}, {15, 44}, {15, 51}, {15, 56}, {16, 2}, {16, 5}, {16, 6}, {16, 7}, {16, 8}, {16, 9}, {16, 10}, {16, 11}, {16, 12}, {16, 15}, {16, 17}, {16, 20}, {16, 21}, {16, 23}, {16, 24}, {16, 28}, {16, 34}, {16, 36}, {16, 37}, {16, 39}, {16, 40}, {16, 42}, {16, 48}, {16, 52}, {16, 53}, {16, 55}, {16, 56}, {16, 59}, {17, 4}, {17, 6}, {17, 12}, {17, 14}, {17, 18}, {17, 19}, {17, 20}, {17, 21}, {17, 22}, {17, 25}, {17, 26}, {17, 29}, {17, 31}, {17, 35}, {17, 36}, {17, 37}, {17, 40}, {17, 41}, {17, 42}, {17, 46}, {17, 48}, {17, 51}, {17, 52}, {17, 55}, {17, 56}, {17, 57}, {17, 58}, {17, 59}, {18, 3}, {18, 4}, {18, 5}, {18, 8}, {18, 9}, {18, 10}, {18, 11}, {18, 14}, {18, 15}, {18, 16}, {18, 21}, {18, 22}, {18, 23}, {18, 24}, {18, 27}, {18, 30}, {18, 31}, {18, 32}, {18, 37}, {18, 41}, {18, 46}, {18, 47}, {18, 48}, {18, 51}, {18, 54}, {18, 55}, {18, 56}, {18, 57}, {19, 9}, {19, 11}, {19, 24}, {19, 31}, {19, 34}, {19, 35}, {19, 38}, {19, 39}, {19, 40}, {19, 41}, {19, 44}, {19, 45}, {19, 48}, {19, 55}, {20, 2}, {20, 3}, {20, 6}, {20, 10}, {20, 11}, {20, 15}, {20, 18}, {20, 19}, {20, 21}, {20, 23}, {20, 27}, {20, 29}, {20, 31}, {20, 33}, {20, 34}, {20, 36}, {20, 37}, {20, 38}, {20, 42}, {20, 43}, {20, 44}, {20, 46}, {20, 47}, {20, 49}, {20, 51}, {20, 53}, {20, 57}, {20, 59}, {21, 8}, {21, 9}, {21, 10}, {21, 12}, {21, 13}, {21, 14}, {21, 22}, {21, 26}, {21, 28}, {21, 30}, {21, 31}, {21, 32}, {21, 34}, {21, 35}, {21, 36}, {21, 37}, {21, 39}, {21, 42}, {21, 44}, {21, 45}, {21, 46}, {21, 47}, {21, 49}, {21, 50}, {21, 51}, {21, 53}, {21, 55}, {21, 59}, {22, 3}, {22, 4}, {22, 7}, {22, 8}, {22, 15}, {22, 16}, {22, 19}, {22, 20}, {22, 23}, {22, 24}, {22, 26}, {22, 27}, {22, 29}, {22, 32}, {22, 33}, {22, 35}, {22, 37}, {22, 40}, {22, 42}, {22, 45}, {22, 47}, {22, 49}, {22, 50}, {22, 53}, {22, 55}, {22, 56}, {22, 58}, {22, 59}, {23, 3}, {23, 5}, {23, 7}, {23, 10}, {23, 11}, {23, 13}, {23, 14}, {23, 17}, {23, 19}, {23, 21}, {23, 25}, {23, 26}, {23, 27}, {23, 28}, {23, 30}, {23, 31}, {23, 33}, {23, 34}, {23, 41}, {23, 42}, {23, 49}, {23, 50}, {23, 52}, {23, 53}, {23, 55}, {23, 56}, {23, 57}, {23, 58}, {24, 11}, {24, 14}, {24, 25}, {24, 31}, {24, 33}, {24, 39}, {24, 40}, {24, 41}, {24, 43}, {24, 44}, {24, 45}, {24, 51}, {24, 53}, {24, 59}, {25, 7}, {25, 11}, {25, 12}, {25, 14}, {25, 15}, {25, 19}, {25, 32}, {25, 34}, {25, 40}, {25, 41}, {25, 44}, {25, 45}, {25, 51}, {25, 53}, {26, 2}, {26, 7}, {26, 8}, {26, 9}, {26, 11}, {26, 13}, {26, 14}, {26, 16}, {26, 18}, {26, 19}, {26, 20}, {26, 25}, {26, 27}, {26, 29}, {26, 30}, {26, 32}, {26, 34}, {26, 39}, {26, 40}, {26, 42}, {26, 44}, {26, 46}, {26, 47}, {26, 52}, {26, 54}, {26, 56}, {26, 57}, {26, 59}, {27, 4}, {27, 7}, {27, 11}, {27, 12}, {27, 13}, {27, 15}, {27, 16}, {27, 17}, {27, 21}, {27, 24}, {27, 28}, {27, 30}, {27, 33}, {27, 35}, {27, 36}, {27, 38}, {27, 40}, {27, 41}, {27, 42}, {27, 45}, {27, 46}, {27, 47}, {27, 49}, {27, 51}, {27, 52}, {27, 54}, {27, 57}, {27, 59}, {28, 3}, {28, 4}, {28, 5}, {28, 7}, {28, 9}, {28, 10}, {28, 11}, {28, 12}, {28, 17}, {28, 18}, {28, 19}, {28, 20}, {28, 22}, {28, 24}, {28, 25}, {28, 26}, {28, 29}, {28, 34}, {28, 37}, {28, 38}, {28, 39}, {28, 41}, {28, 47}, {28, 49}, {28, 50}, {28, 51}, {28, 54}, {28, 59}, {29, 3}, {29, 5}, {29, 6}, {29, 7}, {29, 9}, {29, 12}, {29, 14}, {29, 16}, {29, 18}, {29, 21}, {29, 23}, {29, 24}, {29, 25}, {29, 27}, {29, 30}, {29, 31}, {29, 35}, {29, 36}, {29, 39}, {29, 40}, {29, 43}, {29, 46}, {29, 49}, {29, 50}, {29, 53}, {29, 54}, {29, 58}, {29, 59}, {30, 3}, {30, 6}, {30, 9}, {30, 11}, {30, 14}, {30, 15}, {30, 16}, {30, 17}, {30, 20}, {30, 22}, {30, 25}, {30, 28}, {30, 32}, {30, 37}, {30, 38}, {30, 40}, {30, 41}, {30, 42}, {30, 43}, {30, 44}, {30, 46}, {30, 47}, {30, 48}, {30, 49}, {30, 50}, {30, 52}, {30, 53}, {30, 58}, {31, 7}, {31, 25}, {31, 32}, {31, 34}, {31, 35}, {31, 38}, {31, 40}, {31, 43}, {31, 48}, {31, 51}, {31, 53}, {31, 56}, {31, 57}, {31, 59}, {32, 9}, {32, 14}, {32, 19}, {32, 24}, {32, 33}, {32, 35}, {32, 39}, {32, 41}, {32, 44}, {32, 48}, {32, 51}, {32, 53}, {32, 57}, {32, 59}, {33, 3}, {33, 9}, {33, 15}, {33, 19}, {33, 25}, {33, 31}, {33, 34}, {33, 38}, {33, 40}, {33, 45}, {33, 48}, {33, 53}, {33, 55}, {33, 59}, {34, 3}, {34, 11}, {34, 24}, {34, 32}, {34, 35}, {34, 38}, {34, 39}, {34, 41}, {34, 43}, {34, 51}, {34, 53}, {34, 55}, {34, 56}, {34, 59}, {35, 3}, {35, 11}, {35, 12}, {35, 24}, {35, 25}, {35, 33}, {35, 38}, {35, 39}, {35, 40}, {35, 44}, {35, 51}, {35, 55}, {35, 56}, {35, 57}, {36, 2}, {36, 4}, {36, 5}, {36, 6}, {36, 7}, {36, 9}, {36, 11}, {36, 13}, {36, 14}, {36, 15}, {36, 18}, {36, 19}, {36, 22}, {36, 23}, {36, 24}, {36, 26}, {36, 28}, {36, 30}, {36, 31}, {36, 32}, {36, 33}, {36, 35}, {36, 37}, {36, 38}, {36, 44}, {36, 52}, {36, 58}, {36, 59}, {37, 4}, {37, 5}, {37, 6}, {37, 9}, {37, 11}, {37, 12}, {37, 13}, {37, 15}, {37, 23}, {37, 25}, {37, 26}, {37, 27}, {37, 29}, {37, 32}, {37, 33}, {37, 34}, {37, 39}, {37, 42}, {37, 43}, {37, 45}, {37, 46}, {37, 48}, 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37}, {55, 38}, {55, 39}, {55, 40}, {55, 42}, {55, 43}, {55, 47}, {55, 48}, {55, 49}, {55, 51}, {55, 57}, {55, 58}, {56, 2}, {56, 3}, {56, 4}, {56, 6}, {56, 7}, {56, 11}, {56, 13}, {56, 15}, {56, 16}, {56, 17}, {56, 18}, {56, 22}, {56, 23}, {56, 26}, {56, 31}, {56, 34}, {56, 35}, {56, 39}, {56, 40}, {56, 41}, {56, 42}, {56, 44}, {56, 46}, {56, 50}, {56, 51}, {56, 53}, {56, 54}, {56, 55}, {57, 2}, {57, 5}, {57, 9}, {57, 10}, {57, 11}, {57, 12}, {57, 13}, {57, 17}, {57, 18}, {57, 20}, {57, 23}, {57, 26}, {57, 27}, {57, 31}, {57, 32}, {57, 35}, {57, 38}, {57, 40}, {57, 41}, {57, 45}, {57, 46}, {57, 47}, {57, 48}, {57, 49}, {57, 53}, {57, 56}, {57, 58}, {57, 59}, {58, 5}, {58, 10}, {58, 13}, {58, 17}, {58, 22}, {58, 23}, {58, 29}, {58, 30}, {58, 36}, {58, 37}, {58, 42}, {58, 46}, {58, 49}, {58, 54}, {59, 4}, {59, 5}, {59, 11}, {59, 14}, {59, 16}, {59, 17}, {59, 20}, {59, 21}, {59, 22}, {59, 24}, {59, 26}, {59, 27}, {59, 28}, {59, 29}, {59, 31}, {59, 32}, {59, 33}, {59, 34}, {59, 36}, {59, 38}, {59, 39}, {59, 40}, {59, 43}, {59, 44}, {59, 46}, {59, 49}, {59, 55}, {59, 56}} -> ((-15*I)/48778)*(-I + Sqrt[59]) diff --git a/etf_33x67_6a.exa b/etf_33x67_6a.exa new file mode 100644 index 0000000..7f12199 --- /dev/null +++ b/etf_33x67_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}} -> 17/1089 +{{2, 3}, {2, 6}, {2, 8}, {2, 12}, {2, 19}, {2, 21}, {2, 28}, {2, 31}, {2, 35}, {2, 39}, {2, 42}, {2, 49}, {2, 51}, {2, 58}, {2, 62}, {2, 64}, {2, 67}, {5, 3}, {5, 6}, {5, 9}, {5, 14}, {5, 19}, {5, 21}, {5, 28}, {5, 29}, {5, 31}, {5, 42}, {5, 44}, {5, 45}, {5, 52}, {5, 54}, {5, 59}, {5, 64}, {5, 67}, {7, 4}, {7, 8}, {7, 13}, {7, 21}, {7, 28}, {7, 29}, {7, 31}, {7, 32}, {7, 33}, {7, 42}, {7, 43}, {7, 44}, {7, 46}, {7, 47}, {7, 54}, {7, 62}, {7, 67}, {10, 3}, {10, 8}, {10, 14}, {10, 19}, {10, 29}, {10, 31}, {10, 32}, {10, 33}, {10, 35}, {10, 39}, {10, 43}, {10, 45}, {10, 46}, {10, 47}, {10, 49}, {10, 59}, {10, 64}, {11, 3}, {11, 4}, {11, 6}, {11, 8}, {11, 9}, {11, 12}, {11, 21}, {11, 28}, {11, 32}, {11, 33}, {11, 35}, {11, 44}, {11, 46}, {11, 47}, {11, 51}, {11, 58}, {11, 67}, {15, 3}, {15, 4}, {15, 8}, {15, 12}, {15, 13}, {15, 19}, {15, 21}, {15, 29}, {15, 31}, {15, 32}, {15, 39}, {15, 44}, {15, 51}, {15, 52}, {15, 54}, {15, 62}, {15, 64}, {16, 3}, {16, 4}, {16, 8}, {16, 9}, {16, 13}, {16, 14}, {16, 31}, {16, 32}, {16, 33}, {16, 35}, {16, 39}, {16, 42}, {16, 45}, {16, 49}, {16, 51}, {16, 52}, {16, 53}, {17, 4}, {17, 6}, {17, 9}, {17, 12}, {17, 14}, {17, 21}, {17, 31}, {17, 32}, {17, 33}, {17, 39}, {17, 42}, {17, 43}, {17, 46}, {17, 52}, {17, 53}, {17, 54}, {17, 64}, {18, 6}, {18, 13}, {18, 19}, {18, 28}, {18, 32}, {18, 33}, {18, 35}, {18, 39}, {18, 42}, {18, 43}, {18, 44}, {18, 47}, {18, 51}, {18, 53}, {18, 54}, {18, 58}, {18, 67}, {20, 8}, {20, 9}, {20, 12}, {20, 13}, {20, 21}, {20, 29}, {20, 35}, {20, 39}, {20, 42}, {20, 43}, {20, 44}, {20, 45}, {20, 46}, {20, 49}, {20, 53}, {20, 59}, {20, 67}, {22, 4}, {22, 9}, {22, 14}, {22, 19}, {22, 28}, {22, 31}, {22, 32}, {22, 39}, {22, 43}, {22, 44}, {22, 45}, {22, 46}, {22, 47}, {22, 51}, {22, 58}, {22, 59}, {22, 62}, {23, 3}, {23, 12}, {23, 21}, {23, 29}, {23, 32}, {23, 33}, {23, 39}, {23, 42}, {23, 44}, {23, 45}, {23, 46}, {23, 47}, {23, 49}, {23, 52}, {23, 58}, {23, 59}, {23, 62}, {24, 4}, {24, 6}, {24, 12}, {24, 13}, {24, 19}, {24, 21}, {24, 28}, {24, 33}, {24, 39}, {24, 43}, {24, 45}, {24, 46}, {24, 47}, {24, 49}, {24, 53}, {24, 59}, {24, 64}, {25, 12}, {25, 13}, {25, 14}, {25, 29}, {25, 31}, {25, 35}, {25, 39}, {25, 42}, {25, 44}, {25, 46}, {25, 47}, {25, 49}, {25, 51}, {25, 54}, {25, 58}, {25, 62}, {25, 64}, {26, 6}, {26, 8}, {26, 13}, {26, 14}, {26, 19}, {26, 21}, {26, 32}, {26, 35}, {26, 42}, {26, 43}, {26, 45}, {26, 47}, {26, 49}, {26, 51}, {26, 52}, {26, 59}, {26, 62}, {27, 9}, {27, 14}, {27, 19}, {27, 28}, {27, 31}, {27, 33}, {27, 42}, {27, 43}, {27, 44}, {27, 46}, {27, 49}, {27, 51}, {27, 52}, {27, 53}, {27, 62}, {27, 64}, {27, 67}, {30, 3}, {30, 12}, {30, 19}, {30, 28}, {30, 31}, {30, 39}, {30, 44}, {30, 45}, {30, 46}, {30, 47}, {30, 49}, {30, 51}, {30, 52}, {30, 53}, {30, 54}, {30, 59}, {30, 67}, {34, 3}, {34, 4}, {34, 6}, {34, 14}, {34, 21}, {34, 29}, {34, 31}, {34, 32}, {34, 35}, {34, 43}, {34, 44}, {34, 49}, {34, 51}, {34, 53}, {34, 58}, {34, 59}, {34, 67}, {36, 4}, {36, 6}, {36, 8}, {36, 9}, {36, 28}, {36, 29}, {36, 31}, {36, 33}, {36, 42}, {36, 45}, {36, 46}, {36, 51}, {36, 52}, {36, 53}, {36, 58}, {36, 59}, {36, 62}, {37, 3}, {37, 6}, {37, 9}, {37, 19}, {37, 29}, {37, 32}, {37, 35}, {37, 43}, {37, 46}, {37, 47}, {37, 51}, {37, 52}, {37, 53}, {37, 54}, {37, 58}, {37, 59}, {37, 62}, {38, 4}, {38, 6}, {38, 8}, {38, 31}, {38, 33}, {38, 35}, {38, 39}, {38, 42}, {38, 44}, {38, 47}, {38, 52}, {38, 53}, {38, 54}, {38, 59}, {38, 62}, {38, 64}, {38, 67}, {40, 6}, {40, 8}, {40, 9}, {40, 12}, {40, 13}, {40, 28}, {40, 29}, {40, 32}, {40, 33}, {40, 35}, {40, 44}, {40, 46}, {40, 49}, {40, 54}, {40, 59}, {40, 62}, {40, 64}, {41, 3}, {41, 9}, {41, 13}, {41, 14}, {41, 21}, {41, 28}, {41, 29}, {41, 33}, {41, 39}, {41, 42}, {41, 45}, {41, 47}, {41, 51}, {41, 58}, {41, 62}, {41, 64}, {41, 67}, {48, 3}, {48, 4}, {48, 6}, {48, 14}, {48, 21}, {48, 28}, {48, 35}, {48, 43}, {48, 45}, {48, 46}, {48, 49}, {48, 52}, {48, 54}, {48, 58}, {48, 62}, {48, 64}, {48, 67}, {50, 4}, {50, 6}, {50, 8}, {50, 9}, {50, 12}, {50, 19}, {50, 32}, {50, 39}, {50, 42}, {50, 43}, {50, 45}, {50, 47}, {50, 51}, {50, 54}, {50, 59}, {50, 64}, {50, 67}, {55, 3}, {55, 4}, {55, 9}, {55, 12}, {55, 13}, {55, 14}, {55, 21}, {55, 28}, {55, 35}, {55, 42}, {55, 43}, {55, 44}, {55, 47}, {55, 52}, {55, 53}, {55, 59}, {55, 64}, {56, 3}, {56, 4}, {56, 6}, {56, 8}, {56, 12}, {56, 13}, {56, 14}, {56, 28}, {56, 29}, {56, 43}, {56, 44}, {56, 45}, {56, 49}, {56, 51}, {56, 53}, {56, 54}, {56, 62}, {57, 4}, {57, 6}, {57, 9}, {57, 12}, {57, 13}, {57, 14}, {57, 19}, {57, 29}, {57, 39}, {57, 44}, {57, 45}, {57, 46}, {57, 49}, {57, 52}, {57, 54}, {57, 58}, {57, 67}, {60, 3}, {60, 8}, {60, 9}, {60, 12}, {60, 14}, {60, 19}, {60, 28}, {60, 29}, {60, 32}, {60, 33}, {60, 42}, {60, 47}, {60, 49}, {60, 52}, {60, 53}, {60, 58}, {60, 64}, {61, 3}, {61, 4}, {61, 8}, {61, 9}, {61, 13}, {61, 19}, {61, 29}, {61, 31}, {61, 33}, {61, 43}, {61, 49}, {61, 53}, {61, 54}, {61, 58}, {61, 59}, {61, 62}, {61, 67}, {63, 6}, {63, 12}, {63, 13}, {63, 19}, {63, 21}, {63, 29}, {63, 31}, {63, 32}, {63, 33}, {63, 35}, {63, 43}, {63, 45}, {63, 51}, {63, 52}, {63, 58}, {63, 64}, {63, 67}, {65, 4}, {65, 8}, {65, 12}, {65, 13}, {65, 14}, {65, 19}, {65, 21}, {65, 31}, {65, 33}, {65, 35}, {65, 45}, {65, 47}, {65, 52}, {65, 53}, {65, 54}, {65, 58}, {65, 62}, {66, 3}, {66, 8}, {66, 9}, {66, 13}, {66, 14}, {66, 21}, {66, 28}, {66, 32}, {66, 35}, {66, 39}, {66, 46}, {66, 53}, {66, 54}, {66, 58}, {66, 59}, {66, 64}, {66, 67}} -> (25 + (8*I)*Sqrt[67])/35937 +{{3, 2}, {3, 5}, {3, 10}, {3, 11}, {3, 15}, {3, 16}, {3, 23}, {3, 30}, {3, 34}, {3, 37}, {3, 41}, {3, 48}, {3, 55}, {3, 56}, {3, 60}, {3, 61}, {3, 66}, {4, 7}, {4, 11}, {4, 15}, {4, 16}, {4, 17}, {4, 22}, {4, 24}, {4, 34}, {4, 36}, {4, 38}, {4, 48}, {4, 50}, {4, 55}, {4, 56}, {4, 57}, {4, 61}, {4, 65}, {6, 2}, {6, 5}, {6, 11}, {6, 17}, {6, 18}, {6, 24}, {6, 26}, {6, 34}, {6, 36}, {6, 37}, {6, 38}, {6, 40}, {6, 48}, {6, 50}, {6, 56}, {6, 57}, {6, 63}, {8, 2}, {8, 7}, {8, 10}, {8, 11}, {8, 15}, {8, 16}, {8, 20}, {8, 26}, {8, 36}, {8, 38}, {8, 40}, {8, 50}, {8, 56}, {8, 60}, {8, 61}, {8, 65}, {8, 66}, {9, 5}, {9, 11}, {9, 16}, {9, 17}, {9, 20}, {9, 22}, {9, 27}, {9, 36}, {9, 37}, {9, 40}, {9, 41}, {9, 50}, {9, 55}, {9, 57}, {9, 60}, {9, 61}, {9, 66}, {12, 2}, {12, 11}, {12, 15}, {12, 17}, {12, 20}, {12, 23}, {12, 24}, {12, 25}, {12, 30}, {12, 40}, {12, 50}, {12, 55}, {12, 56}, {12, 57}, {12, 60}, {12, 63}, {12, 65}, {13, 7}, {13, 15}, {13, 16}, {13, 18}, {13, 20}, {13, 24}, {13, 25}, {13, 26}, {13, 40}, {13, 41}, {13, 55}, {13, 56}, {13, 57}, {13, 61}, {13, 63}, {13, 65}, {13, 66}, {14, 5}, {14, 10}, {14, 16}, {14, 17}, {14, 22}, {14, 25}, {14, 26}, {14, 27}, {14, 34}, {14, 41}, {14, 48}, {14, 55}, {14, 56}, {14, 57}, {14, 60}, {14, 65}, {14, 66}, {19, 2}, {19, 5}, {19, 10}, {19, 15}, {19, 18}, {19, 22}, {19, 24}, {19, 26}, {19, 27}, {19, 30}, {19, 37}, {19, 50}, {19, 57}, {19, 60}, {19, 61}, {19, 63}, {19, 65}, {21, 2}, {21, 5}, {21, 7}, {21, 11}, {21, 15}, {21, 17}, {21, 20}, {21, 23}, {21, 24}, {21, 26}, {21, 34}, {21, 41}, {21, 48}, {21, 55}, {21, 63}, {21, 65}, {21, 66}, {28, 2}, {28, 5}, {28, 7}, {28, 11}, {28, 18}, {28, 22}, {28, 24}, {28, 27}, {28, 30}, {28, 36}, {28, 40}, {28, 41}, {28, 48}, {28, 55}, {28, 56}, {28, 60}, {28, 66}, {29, 5}, {29, 7}, {29, 10}, {29, 15}, {29, 20}, {29, 23}, {29, 25}, {29, 34}, {29, 36}, {29, 37}, {29, 40}, {29, 41}, {29, 56}, {29, 57}, {29, 60}, {29, 61}, {29, 63}, {31, 2}, {31, 5}, {31, 7}, {31, 10}, {31, 15}, {31, 16}, {31, 17}, {31, 22}, {31, 25}, {31, 27}, {31, 30}, {31, 34}, {31, 36}, {31, 38}, {31, 61}, {31, 63}, {31, 65}, {32, 7}, {32, 10}, {32, 11}, {32, 15}, {32, 16}, {32, 17}, {32, 18}, {32, 22}, {32, 23}, {32, 26}, {32, 34}, {32, 37}, {32, 40}, {32, 50}, {32, 60}, {32, 63}, {32, 66}, {33, 7}, {33, 10}, {33, 11}, {33, 16}, {33, 17}, {33, 18}, {33, 23}, {33, 24}, {33, 27}, {33, 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40}, {43, 41}, {43, 42}, {43, 45}, {43, 46}, {43, 51}, {43, 54}, {43, 57}, {43, 60}, {43, 65}, {43, 66}, {44, 2}, {44, 4}, {44, 8}, {44, 9}, {44, 10}, {44, 16}, {44, 17}, {44, 19}, {44, 21}, {44, 24}, {44, 26}, {44, 28}, {44, 29}, {44, 35}, {44, 36}, {44, 37}, {44, 41}, {44, 43}, {44, 46}, {44, 47}, {44, 48}, {44, 49}, {44, 50}, {44, 51}, {44, 52}, {44, 60}, {44, 61}, {44, 62}, {44, 63}, {44, 64}, {44, 65}, {44, 66}, {45, 2}, {45, 6}, {45, 7}, {45, 8}, {45, 9}, {45, 11}, {45, 12}, {45, 15}, {45, 17}, {45, 18}, {45, 19}, {45, 21}, {45, 25}, {45, 27}, {45, 28}, {45, 29}, {45, 31}, {45, 34}, {45, 35}, {45, 37}, {45, 38}, {45, 39}, {45, 40}, {45, 44}, {45, 47}, {45, 52}, {45, 53}, {45, 55}, {45, 58}, {45, 60}, {45, 61}, {45, 66}, {46, 2}, {46, 5}, {46, 6}, {46, 9}, {46, 13}, {46, 15}, {46, 16}, {46, 18}, {46, 21}, {46, 26}, {46, 29}, {46, 31}, {46, 32}, {46, 34}, {46, 38}, {46, 41}, {46, 42}, {46, 45}, {46, 49}, {46, 50}, {46, 51}, {46, 53}, {46, 54}, {46, 55}, {46, 56}, {46, 58}, {46, 59}, {46, 60}, {46, 61}, {46, 63}, {46, 64}, {46, 65}, {47, 2}, {47, 5}, {47, 8}, {47, 12}, {47, 14}, {47, 15}, {47, 16}, {47, 17}, {47, 20}, {47, 21}, {47, 27}, {47, 28}, {47, 31}, {47, 32}, {47, 33}, {47, 34}, {47, 36}, {47, 40}, {47, 43}, {47, 46}, {47, 48}, {47, 49}, {47, 52}, {47, 54}, {47, 56}, {47, 57}, {47, 58}, {47, 59}, {47, 61}, {47, 63}, {47, 66}, {47, 67}, {48, 11}, {48, 15}, {48, 22}, {48, 23}, {48, 24}, {48, 25}, {48, 26}, {48, 27}, {48, 34}, {48, 38}, {48, 50}, {48, 55}, {48, 56}, {48, 60}, {48, 61}, {48, 66}, {49, 5}, {49, 7}, {49, 9}, {49, 11}, {49, 12}, {49, 13}, {49, 14}, {49, 15}, {49, 17}, {49, 18}, {49, 22}, {49, 28}, {49, 32}, {49, 33}, {49, 35}, {49, 36}, {49, 37}, {49, 38}, {49, 39}, {49, 41}, {49, 43}, {49, 45}, {49, 50}, {49, 51}, {49, 52}, {49, 54}, {49, 55}, {49, 62}, {49, 63}, {49, 65}, {49, 66}, {49, 67}, {50, 10}, {50, 11}, {50, 15}, {50, 17}, {50, 24}, {50, 25}, {50, 26}, {50, 27}, {50, 34}, {50, 36}, {50, 40}, {50, 41}, {50, 55}, {50, 57}, {50, 61}, {50, 63}, {51, 4}, {51, 5}, {51, 7}, {51, 10}, {51, 12}, {51, 14}, {51, 17}, {51, 20}, {51, 23}, {51, 24}, {51, 28}, {51, 29}, {51, 32}, {51, 35}, {51, 38}, {51, 40}, {51, 42}, {51, 45}, {51, 47}, {51, 48}, {51, 53}, {51, 54}, {51, 55}, {51, 57}, {51, 58}, {51, 59}, {51, 60}, {51, 61}, {51, 62}, {51, 64}, {51, 65}, {51, 66}, {52, 2}, {52, 3}, {52, 7}, {52, 10}, {52, 11}, {52, 12}, {52, 13}, {52, 18}, {52, 19}, {52, 20}, {52, 22}, {52, 24}, {52, 25}, {52, 28}, {52, 29}, {52, 31}, {52, 33}, {52, 34}, {52, 35}, {52, 40}, {52, 41}, {52, 42}, {52, 43}, {52, 46}, {52, 50}, {52, 51}, {52, 54}, {52, 56}, {52, 59}, {52, 61}, {52, 64}, {52, 66}, {53, 2}, {53, 4}, {53, 5}, {53, 6}, {53, 7}, {53, 10}, {53, 11}, {53, 13}, {53, 14}, {53, 15}, {53, 22}, {53, 23}, {53, 25}, {53, 26}, {53, 28}, {53, 29}, {53, 31}, {53, 32}, {53, 39}, {53, 40}, {53, 41}, {53, 43}, {53, 44}, {53, 47}, {53, 48}, {53, 49}, {53, 50}, {53, 52}, {53, 57}, {53, 58}, {53, 63}, {53, 64}, {54, 2}, {54, 10}, {54, 11}, {54, 14}, {54, 16}, {54, 19}, {54, 20}, {54, 21}, {54, 22}, {54, 23}, {54, 24}, {54, 26}, {54, 27}, {54, 28}, {54, 29}, {54, 31}, {54, 32}, {54, 33}, {54, 34}, {54, 35}, {54, 36}, {54, 39}, {54, 41}, {54, 44}, {54, 45}, {54, 53}, {54, 55}, {54, 59}, {54, 60}, {54, 62}, {54, 63}, {54, 67}, {55, 15}, {55, 16}, {55, 18}, {55, 20}, {55, 22}, {55, 26}, {55, 30}, {55, 34}, {55, 36}, {55, 38}, {55, 40}, {55, 41}, {55, 57}, {55, 60}, {55, 63}, {55, 66}, {56, 2}, {56, 7}, {56, 16}, {56, 17}, {56, 20}, {56, 23}, {56, 27}, {56, 30}, {56, 34}, {56, 37}, {56, 40}, {56, 41}, {56, 50}, {56, 55}, {56, 61}, {56, 63}, {57, 2}, {57, 10}, {57, 17}, {57, 18}, {57, 20}, {57, 22}, {57, 24}, {57, 34}, {57, 36}, {57, 38}, {57, 40}, {57, 41}, {57, 48}, {57, 56}, {57, 60}, {57, 65}, {58, 3}, {58, 4}, {58, 5}, {58, 7}, {58, 9}, {58, 10}, {58, 15}, {58, 16}, {58, 17}, {58, 19}, {58, 20}, {58, 21}, {58, 24}, {58, 26}, {58, 27}, {58, 29}, {58, 30}, {58, 32}, {58, 33}, {58, 35}, {58, 38}, {58, 39}, {58, 40}, {58, 42}, {58, 43}, {58, 44}, {58, 49}, {58, 50}, {58, 52}, {58, 54}, {58, 55}, {58, 56}, {59, 2}, {59, 3}, {59, 4}, {59, 7}, {59, 11}, {59, 12}, {59, 15}, {59, 16}, {59, 17}, {59, 18}, {59, 19}, {59, 25}, {59, 27}, {59, 33}, {59, 35}, {59, 41}, {59, 42}, {59, 43}, {59, 44}, {59, 45}, {59, 48}, {59, 49}, {59, 53}, {59, 56}, {59, 57}, {59, 58}, {59, 60}, {59, 62}, {59, 63}, {59, 64}, {59, 65}, {59, 67}, {60, 5}, {60, 11}, {60, 20}, {60, 23}, {60, 24}, {60, 25}, {60, 27}, {60, 34}, {60, 36}, {60, 37}, {60, 38}, {60, 41}, {60, 50}, {60, 56}, {60, 63}, {60, 65}, {61, 2}, {61, 5}, {61, 7}, {61, 22}, {61, 24}, {61, 25}, {61, 26}, {61, 36}, {61, 37}, {61, 38}, {61, 40}, {61, 55}, {61, 57}, {61, 60}, {61, 63}, {61, 66}, {62, 3}, {62, 5}, {62, 6}, {62, 8}, {62, 10}, {62, 11}, {62, 13}, {62, 16}, {62, 17}, {62, 18}, {62, 20}, {62, 24}, {62, 29}, {62, 30}, {62, 33}, {62, 34}, {62, 39}, {62, 43}, {62, 45}, {62, 46}, {62, 47}, {62, 50}, {62, 52}, {62, 53}, {62, 55}, {62, 57}, {62, 58}, {62, 60}, {62, 63}, {62, 64}, {62, 66}, {62, 67}, {63, 7}, {63, 16}, {63, 23}, {63, 24}, {63, 26}, {63, 27}, {63, 30}, {63, 34}, {63, 37}, {63, 38}, {63, 40}, {63, 41}, {63, 48}, {63, 57}, {63, 65}, {63, 66}, {64, 4}, {64, 7}, {64, 8}, {64, 9}, {64, 11}, {64, 16}, {64, 18}, {64, 20}, {64, 22}, {64, 23}, {64, 26}, {64, 28}, {64, 29}, {64, 30}, {64, 31}, {64, 34}, {64, 35}, {64, 36}, {64, 37}, {64, 39}, {64, 42}, {64, 43}, {64, 45}, {64, 47}, {64, 49}, {64, 54}, {64, 56}, {64, 57}, {64, 58}, {64, 61}, {64, 65}, {64, 67}, {65, 5}, {65, 10}, {65, 11}, {65, 16}, {65, 18}, {65, 25}, {65, 26}, {65, 30}, {65, 36}, {65, 40}, {65, 41}, {65, 48}, {65, 50}, {65, 55}, {65, 56}, {65, 61}, {66, 2}, {66, 7}, {66, 10}, {66, 11}, {66, 17}, {66, 26}, {66, 27}, {66, 30}, {66, 37}, {66, 40}, {66, 41}, {66, 50}, {66, 56}, {66, 57}, {66, 60}, {66, 65}, {67, 3}, {67, 8}, {67, 10}, {67, 12}, {67, 13}, {67, 15}, {67, 16}, {67, 17}, {67, 22}, {67, 23}, {67, 24}, {67, 25}, {67, 26}, {67, 28}, {67, 31}, {67, 32}, {67, 36}, {67, 37}, {67, 40}, {67, 42}, {67, 43}, {67, 44}, {67, 45}, {67, 46}, {67, 51}, {67, 52}, {67, 53}, {67, 55}, {67, 56}, {67, 58}, {67, 60}, {67, 65}} -> ((-17*I)/71874)*(-I + Sqrt[67]) diff --git a/etf_35x71_6a.exa b/etf_35x71_6a.exa new file mode 100644 index 0000000..2ae0ad5 --- /dev/null +++ b/etf_35x71_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}} -> 18/1225 +{{2, 8}, {2, 12}, {2, 14}, {2, 18}, {2, 22}, {2, 27}, {2, 29}, {2, 32}, {2, 34}, {2, 40}, {2, 42}, {2, 45}, {2, 47}, {2, 52}, {2, 56}, {2, 60}, {2, 62}, {2, 66}, {3, 8}, {3, 12}, {3, 15}, {3, 18}, {3, 22}, {3, 23}, {3, 27}, {3, 32}, {3, 35}, {3, 40}, {3, 43}, {3, 48}, {3, 52}, {3, 53}, {3, 57}, {3, 60}, {3, 63}, {3, 67}, {4, 8}, {4, 12}, {4, 14}, {4, 22}, {4, 23}, {4, 24}, {4, 29}, {4, 34}, {4, 36}, {4, 40}, {4, 42}, {4, 47}, {4, 52}, {4, 53}, {4, 54}, {4, 62}, {4, 64}, {4, 68}, {5, 8}, {5, 14}, {5, 15}, {5, 23}, {5, 24}, {5, 29}, {5, 32}, {5, 34}, {5, 35}, {5, 42}, {5, 43}, {5, 45}, {5, 48}, {5, 53}, {5, 54}, {5, 62}, {5, 63}, {5, 69}, {6, 8}, {6, 12}, {6, 14}, {6, 15}, {6, 18}, {6, 22}, {6, 24}, {6, 35}, {6, 36}, {6, 42}, {6, 43}, {6, 54}, {6, 56}, {6, 60}, {6, 63}, {6, 64}, {6, 66}, {6, 70}, {7, 8}, {7, 12}, {7, 15}, {7, 22}, {7, 23}, {7, 27}, {7, 32}, {7, 34}, {7, 36}, {7, 43}, {7, 45}, {7, 47}, {7, 52}, {7, 56}, {7, 57}, {7, 64}, {7, 67}, {7, 71}, {9, 12}, {9, 14}, {9, 15}, {9, 18}, {9, 24}, {9, 27}, {9, 29}, {9, 34}, {9, 36}, {9, 45}, {9, 47}, {9, 52}, {9, 54}, {9, 57}, {9, 63}, {9, 66}, {9, 67}, {9, 69}, {10, 12}, {10, 14}, {10, 15}, {10, 18}, {10, 22}, {10, 29}, {10, 34}, {10, 35}, {10, 40}, {10, 42}, {10, 47}, {10, 48}, {10, 53}, {10, 60}, {10, 64}, {10, 67}, {10, 68}, {10, 70}, {11, 12}, {11, 14}, {11, 15}, {11, 23}, {11, 27}, {11, 29}, {11, 35}, {11, 36}, {11, 40}, {11, 43}, {11, 47}, {11, 48}, {11, 54}, {11, 56}, {11, 60}, {11, 68}, {11, 69}, {11, 71}, {13, 14}, {13, 15}, {13, 18}, {13, 22}, {13, 23}, {13, 29}, {13, 32}, {13, 40}, {13, 42}, {13, 43}, {13, 45}, {13, 53}, {13, 56}, {13, 62}, {13, 63}, {13, 67}, {13, 70}, {13, 71}, {16, 18}, {16, 22}, {16, 24}, {16, 32}, {16, 34}, {16, 35}, {16, 36}, {16, 40}, {16, 43}, {16, 45}, {16, 48}, {16, 52}, {16, 53}, {16, 54}, {16, 56}, {16, 64}, {16, 66}, {16, 70}, {17, 18}, {17, 22}, {17, 23}, {17, 27}, {17, 29}, {17, 32}, {17, 35}, {17, 36}, {17, 42}, {17, 47}, {17, 53}, {17, 54}, {17, 57}, {17, 60}, {17, 62}, {17, 66}, {17, 67}, {17, 71}, {19, 8}, {19, 12}, {19, 22}, {19, 23}, {19, 24}, {19, 27}, {19, 29}, {19, 34}, {19, 35}, {19, 43}, {19, 48}, {19, 56}, {19, 57}, {19, 62}, {19, 64}, {19, 67}, {19, 68}, {19, 69}, {20, 22}, {20, 23}, {20, 24}, {20, 29}, {20, 32}, {20, 35}, {20, 36}, {20, 40}, {20, 45}, {20, 47}, {20, 52}, {20, 56}, {20, 57}, {20, 60}, {20, 63}, {20, 68}, {20, 69}, {20, 70}, {21, 8}, {21, 14}, {21, 22}, {21, 23}, {21, 24}, {21, 27}, {21, 29}, {21, 36}, {21, 40}, {21, 45}, {21, 48}, {21, 53}, {21, 57}, {21, 64}, {21, 66}, {21, 69}, {21, 70}, {21, 71}, {25, 8}, {25, 12}, {25, 14}, {25, 18}, {25, 27}, {25, 29}, {25, 34}, {25, 35}, {25, 40}, {25, 43}, {25, 45}, {25, 52}, {25, 54}, {25, 57}, {25, 62}, {25, 63}, {25, 68}, {25, 70}, {26, 12}, {26, 15}, {26, 27}, {26, 29}, {26, 32}, {26, 34}, {26, 35}, {26, 36}, {26, 42}, {26, 45}, {26, 53}, {26, 56}, {26, 62}, {26, 63}, {26, 64}, {26, 66}, {26, 69}, {26, 71}, {28, 14}, {28, 15}, {28, 29}, {28, 32}, {28, 34}, {28, 36}, {28, 40}, {28, 43}, {28, 47}, {28, 48}, {28, 52}, {28, 53}, {28, 57}, {28, 60}, {28, 64}, {28, 66}, {28, 68}, {28, 71}, {30, 8}, {30, 23}, {30, 32}, {30, 34}, {30, 35}, {30, 36}, {30, 40}, {30, 42}, {30, 45}, {30, 48}, {30, 54}, {30, 57}, {30, 60}, {30, 62}, {30, 66}, {30, 67}, {30, 68}, {30, 70}, {31, 8}, {31, 14}, {31, 18}, {31, 24}, {31, 32}, {31, 34}, {31, 35}, {31, 36}, {31, 40}, {31, 43}, {31, 47}, {31, 56}, {31, 60}, {31, 63}, {31, 67}, {31, 68}, {31, 69}, {31, 71}, {33, 12}, {33, 22}, {33, 34}, {33, 35}, {33, 36}, {33, 42}, {33, 43}, {33, 45}, {33, 48}, {33, 52}, {33, 53}, {33, 57}, {33, 60}, {33, 62}, {33, 63}, {33, 69}, {33, 70}, {33, 71}, {37, 14}, {37, 15}, {37, 23}, {37, 24}, {37, 40}, {37, 42}, {37, 43}, {37, 45}, {37, 47}, {37, 52}, {37, 53}, {37, 56}, {37, 57}, {37, 62}, {37, 64}, {37, 66}, {37, 67}, {37, 69}, {38, 12}, {38, 15}, {38, 24}, {38, 27}, {38, 40}, {38, 42}, {38, 43}, {38, 47}, {38, 48}, {38, 53}, {38, 54}, {38, 56}, {38, 57}, {38, 62}, {38, 63}, {38, 67}, {38, 68}, {38, 70}, {39, 8}, {39, 18}, {39, 22}, {39, 32}, {39, 40}, {39, 42}, {39, 43}, {39, 45}, {39, 47}, {39, 48}, {39, 54}, {39, 57}, {39, 63}, {39, 64}, {39, 66}, {39, 68}, {39, 69}, {39, 71}, {41, 8}, {41, 15}, {41, 18}, {41, 24}, {41, 27}, {41, 34}, {41, 42}, {41, 43}, {41, 45}, {41, 47}, {41, 53}, {41, 56}, {41, 57}, {41, 60}, {41, 66}, {41, 68}, {41, 70}, {41, 71}, {44, 18}, {44, 22}, {44, 23}, {44, 27}, {44, 45}, {44, 47}, {44, 48}, {44, 52}, {44, 53}, {44, 54}, {44, 56}, {44, 60}, {44, 62}, {44, 63}, {44, 64}, {44, 68}, {44, 69}, {44, 71}, {46, 12}, {46, 15}, {46, 18}, {46, 23}, {46, 24}, {46, 29}, {46, 32}, {46, 35}, {46, 47}, {46, 48}, {46, 52}, {46, 54}, {46, 56}, {46, 62}, {46, 64}, {46, 66}, {46, 70}, {46, 71}, {49, 8}, {49, 14}, {49, 15}, {49, 18}, {49, 23}, {49, 27}, {49, 32}, {49, 35}, {49, 36}, {49, 42}, {49, 52}, {49, 53}, {49, 54}, {49, 57}, {49, 64}, {49, 67}, {49, 68}, {49, 69}, {50, 8}, {50, 15}, {50, 22}, {50, 24}, {50, 27}, {50, 29}, {50, 36}, {50, 43}, {50, 52}, {50, 53}, {50, 54}, {50, 56}, {50, 60}, {50, 62}, {50, 66}, {50, 68}, {50, 69}, {50, 70}, {51, 12}, {51, 18}, {51, 23}, {51, 29}, {51, 34}, {51, 40}, {51, 52}, {51, 53}, {51, 54}, {51, 56}, {51, 57}, {51, 60}, {51, 63}, {51, 66}, {51, 67}, {51, 69}, {51, 70}, {51, 71}, {55, 8}, {55, 14}, {55, 22}, {55, 24}, {55, 27}, {55, 29}, {55, 32}, {55, 34}, {55, 42}, {55, 48}, {55, 56}, {55, 57}, {55, 60}, {55, 63}, {55, 64}, {55, 67}, {55, 70}, {55, 71}, {58, 12}, {58, 14}, {58, 23}, {58, 24}, {58, 27}, {58, 32}, {58, 35}, {58, 36}, {58, 45}, {58, 47}, {58, 60}, {58, 62}, {58, 63}, {58, 64}, {58, 66}, {58, 67}, {58, 68}, {58, 70}, {59, 8}, {59, 12}, {59, 15}, {59, 18}, {59, 24}, {59, 36}, {59, 42}, {59, 45}, {59, 48}, {59, 52}, {59, 60}, {59, 62}, {59, 63}, {59, 64}, {59, 67}, {59, 68}, {59, 69}, {59, 71}, {61, 8}, {61, 14}, {61, 15}, {61, 22}, {61, 27}, {61, 35}, {61, 40}, {61, 47}, {61, 48}, {61, 54}, {61, 62}, {61, 63}, {61, 64}, {61, 66}, {61, 67}, {61, 69}, {61, 70}, {61, 71}, {65, 12}, {65, 14}, {65, 18}, {65, 23}, {65, 24}, {65, 32}, {65, 34}, {65, 42}, {65, 43}, {65, 48}, {65, 52}, {65, 54}, {65, 66}, {65, 67}, {65, 68}, {65, 69}, {65, 70}, {65, 71}} -> (53 + (17*I)*Sqrt[71])/85750 +{{8, 2}, {8, 3}, {8, 4}, {8, 5}, {8, 6}, {8, 7}, {8, 19}, {8, 21}, {8, 25}, {8, 30}, {8, 31}, {8, 39}, {8, 41}, {8, 49}, {8, 50}, {8, 55}, {8, 59}, {8, 61}, {12, 2}, {12, 3}, {12, 4}, {12, 6}, {12, 7}, {12, 9}, {12, 10}, {12, 11}, {12, 19}, {12, 25}, {12, 26}, {12, 33}, {12, 38}, {12, 46}, {12, 51}, {12, 58}, {12, 59}, {12, 65}, {14, 2}, {14, 4}, {14, 5}, {14, 6}, {14, 9}, {14, 10}, {14, 11}, {14, 13}, {14, 21}, {14, 25}, {14, 28}, {14, 31}, {14, 37}, {14, 49}, {14, 55}, {14, 58}, {14, 61}, {14, 65}, {15, 3}, {15, 5}, {15, 6}, {15, 7}, {15, 9}, {15, 10}, {15, 11}, {15, 13}, {15, 26}, {15, 28}, {15, 37}, {15, 38}, {15, 41}, {15, 46}, {15, 49}, {15, 50}, {15, 59}, {15, 61}, {18, 2}, {18, 3}, {18, 6}, {18, 9}, {18, 10}, {18, 13}, {18, 16}, {18, 17}, {18, 25}, {18, 31}, {18, 39}, {18, 41}, {18, 44}, {18, 46}, {18, 49}, {18, 51}, {18, 59}, {18, 65}, {22, 2}, {22, 3}, {22, 4}, {22, 6}, {22, 7}, {22, 10}, {22, 13}, {22, 16}, {22, 17}, {22, 19}, {22, 20}, {22, 21}, {22, 33}, {22, 39}, {22, 44}, {22, 50}, {22, 55}, {22, 61}, {23, 3}, {23, 4}, {23, 5}, {23, 7}, {23, 11}, {23, 13}, {23, 17}, {23, 19}, {23, 20}, {23, 21}, {23, 30}, {23, 37}, {23, 44}, {23, 46}, {23, 49}, {23, 51}, {23, 58}, {23, 65}, {24, 4}, {24, 5}, {24, 6}, {24, 9}, {24, 16}, {24, 19}, {24, 20}, {24, 21}, {24, 31}, {24, 37}, {24, 38}, {24, 41}, {24, 46}, {24, 50}, {24, 55}, {24, 58}, {24, 59}, {24, 65}, {27, 2}, {27, 3}, {27, 7}, {27, 9}, {27, 11}, {27, 17}, {27, 19}, {27, 21}, {27, 25}, {27, 26}, {27, 38}, {27, 41}, {27, 44}, {27, 49}, {27, 50}, {27, 55}, {27, 58}, {27, 61}, {29, 2}, {29, 4}, {29, 5}, {29, 9}, {29, 10}, {29, 11}, {29, 13}, {29, 17}, {29, 19}, {29, 20}, {29, 21}, {29, 25}, {29, 26}, {29, 28}, {29, 46}, {29, 50}, {29, 51}, {29, 55}, {32, 2}, {32, 3}, {32, 5}, {32, 7}, {32, 13}, {32, 16}, {32, 17}, {32, 20}, {32, 26}, {32, 28}, {32, 30}, {32, 31}, {32, 39}, {32, 46}, {32, 49}, {32, 55}, {32, 58}, {32, 65}, {34, 2}, {34, 4}, {34, 5}, {34, 7}, {34, 9}, {34, 10}, {34, 16}, {34, 19}, {34, 25}, {34, 26}, {34, 28}, {34, 30}, {34, 31}, {34, 33}, {34, 41}, {34, 51}, {34, 55}, {34, 65}, {35, 3}, {35, 5}, {35, 6}, {35, 10}, {35, 11}, {35, 16}, {35, 17}, {35, 19}, {35, 20}, {35, 25}, {35, 26}, {35, 30}, {35, 31}, {35, 33}, {35, 46}, {35, 49}, {35, 58}, {35, 61}, {36, 4}, {36, 6}, {36, 7}, {36, 9}, {36, 11}, {36, 16}, {36, 17}, {36, 20}, {36, 21}, {36, 26}, {36, 28}, {36, 30}, {36, 31}, {36, 33}, {36, 49}, {36, 50}, {36, 58}, {36, 59}, {40, 2}, {40, 3}, {40, 4}, {40, 10}, {40, 11}, {40, 13}, {40, 16}, {40, 20}, {40, 21}, {40, 25}, {40, 28}, {40, 30}, {40, 31}, {40, 37}, {40, 38}, {40, 39}, {40, 51}, {40, 61}, {42, 2}, {42, 4}, {42, 5}, {42, 6}, {42, 10}, {42, 13}, {42, 17}, {42, 26}, {42, 30}, {42, 33}, {42, 37}, {42, 38}, {42, 39}, {42, 41}, {42, 49}, {42, 55}, {42, 59}, {42, 65}, {43, 3}, {43, 5}, {43, 6}, {43, 7}, {43, 11}, {43, 13}, {43, 16}, {43, 19}, {43, 25}, {43, 28}, {43, 31}, {43, 33}, {43, 37}, {43, 38}, {43, 39}, {43, 41}, {43, 50}, {43, 65}, {45, 2}, {45, 5}, {45, 7}, {45, 9}, {45, 13}, {45, 16}, {45, 20}, {45, 21}, {45, 25}, {45, 26}, {45, 30}, {45, 33}, {45, 37}, {45, 39}, {45, 41}, {45, 44}, {45, 58}, {45, 59}, {47, 2}, {47, 4}, {47, 7}, {47, 9}, {47, 10}, {47, 11}, {47, 17}, {47, 20}, {47, 28}, {47, 31}, {47, 37}, {47, 38}, {47, 39}, {47, 41}, {47, 44}, {47, 46}, {47, 58}, {47, 61}, {48, 3}, {48, 5}, {48, 10}, {48, 11}, {48, 16}, {48, 19}, {48, 21}, {48, 28}, {48, 30}, {48, 33}, {48, 38}, {48, 39}, {48, 44}, {48, 46}, {48, 55}, {48, 59}, {48, 61}, {48, 65}, {52, 2}, {52, 3}, {52, 4}, {52, 7}, {52, 9}, {52, 16}, {52, 20}, {52, 25}, {52, 28}, {52, 33}, {52, 37}, {52, 44}, {52, 46}, {52, 49}, {52, 50}, {52, 51}, {52, 59}, {52, 65}, {53, 3}, {53, 4}, {53, 5}, {53, 10}, {53, 13}, {53, 16}, {53, 17}, {53, 21}, {53, 26}, {53, 28}, {53, 33}, {53, 37}, {53, 38}, {53, 41}, {53, 44}, {53, 49}, {53, 50}, {53, 51}, {54, 4}, {54, 5}, {54, 6}, {54, 9}, {54, 11}, {54, 16}, {54, 17}, {54, 25}, {54, 30}, {54, 38}, {54, 39}, {54, 44}, {54, 46}, {54, 49}, {54, 50}, {54, 51}, {54, 61}, {54, 65}, {56, 2}, {56, 6}, {56, 7}, {56, 11}, {56, 13}, {56, 16}, {56, 19}, {56, 20}, {56, 26}, {56, 31}, {56, 37}, {56, 38}, {56, 41}, {56, 44}, {56, 46}, {56, 50}, {56, 51}, {56, 55}, {57, 3}, {57, 7}, {57, 9}, {57, 17}, {57, 19}, {57, 20}, {57, 21}, {57, 25}, {57, 28}, {57, 30}, {57, 33}, {57, 37}, {57, 38}, {57, 39}, {57, 41}, {57, 49}, {57, 51}, {57, 55}, {60, 2}, {60, 3}, {60, 6}, {60, 10}, {60, 11}, {60, 17}, {60, 20}, {60, 28}, {60, 30}, {60, 31}, {60, 33}, {60, 41}, {60, 44}, {60, 50}, {60, 51}, {60, 55}, {60, 58}, {60, 59}, {62, 2}, {62, 4}, {62, 5}, {62, 13}, {62, 17}, {62, 19}, {62, 25}, {62, 26}, {62, 30}, {62, 33}, {62, 37}, {62, 38}, {62, 44}, {62, 46}, {62, 50}, {62, 58}, {62, 59}, {62, 61}, {63, 3}, {63, 5}, {63, 6}, {63, 9}, {63, 13}, {63, 20}, {63, 25}, {63, 26}, {63, 31}, {63, 33}, {63, 38}, {63, 39}, {63, 44}, {63, 51}, {63, 55}, {63, 58}, {63, 59}, {63, 61}, {64, 4}, {64, 6}, {64, 7}, {64, 10}, {64, 16}, {64, 19}, {64, 21}, {64, 26}, {64, 28}, {64, 37}, {64, 39}, {64, 44}, {64, 46}, {64, 49}, {64, 55}, {64, 58}, {64, 59}, {64, 61}, {66, 2}, {66, 6}, {66, 9}, {66, 16}, {66, 17}, {66, 21}, {66, 26}, {66, 28}, {66, 30}, {66, 37}, {66, 39}, {66, 41}, {66, 46}, {66, 50}, {66, 51}, {66, 58}, {66, 61}, {66, 65}, {67, 3}, {67, 7}, {67, 9}, {67, 10}, {67, 13}, {67, 17}, {67, 19}, {67, 30}, {67, 31}, {67, 37}, {67, 38}, {67, 49}, {67, 51}, {67, 55}, {67, 58}, {67, 59}, {67, 61}, {67, 65}, {68, 4}, {68, 10}, {68, 11}, {68, 19}, {68, 20}, {68, 25}, {68, 28}, {68, 30}, {68, 31}, {68, 38}, {68, 39}, {68, 41}, {68, 44}, {68, 49}, {68, 50}, {68, 58}, {68, 59}, {68, 65}, {69, 5}, {69, 9}, {69, 11}, {69, 19}, {69, 20}, {69, 21}, {69, 26}, {69, 31}, {69, 33}, {69, 37}, {69, 39}, {69, 44}, {69, 49}, {69, 50}, {69, 51}, {69, 59}, {69, 61}, {69, 65}, {70, 6}, {70, 10}, {70, 13}, {70, 16}, {70, 20}, {70, 21}, {70, 25}, {70, 30}, {70, 33}, {70, 38}, {70, 41}, {70, 46}, {70, 50}, {70, 51}, {70, 55}, {70, 58}, {70, 61}, {70, 65}, {71, 7}, {71, 11}, {71, 13}, {71, 17}, {71, 21}, {71, 26}, {71, 28}, {71, 31}, {71, 33}, {71, 39}, {71, 41}, {71, 44}, {71, 46}, {71, 51}, {71, 55}, {71, 59}, {71, 61}, {71, 65}} -> (53 - (17*I)*Sqrt[71])/85750 +{{2, 3}, {2, 4}, {2, 5}, {2, 6}, {2, 7}, {2, 10}, {2, 11}, {2, 15}, {2, 17}, {2, 20}, {2, 21}, {2, 23}, {2, 24}, {2, 26}, {2, 31}, {2, 35}, {2, 36}, {2, 38}, {2, 39}, {2, 43}, {2, 48}, {2, 50}, {2, 51}, {2, 53}, {2, 54}, {2, 57}, {2, 59}, {2, 63}, {2, 64}, {2, 67}, {2, 68}, {2, 69}, {2, 70}, {2, 71}, {3, 4}, {3, 5}, {3, 6}, {3, 7}, {3, 9}, {3, 11}, {3, 13}, {3, 14}, {3, 19}, {3, 21}, {3, 24}, {3, 28}, {3, 29}, {3, 30}, {3, 33}, {3, 34}, {3, 36}, {3, 39}, {3, 41}, {3, 42}, {3, 45}, {3, 46}, {3, 47}, {3, 51}, {3, 54}, {3, 56}, {3, 61}, {3, 62}, {3, 64}, {3, 66}, {3, 68}, {3, 69}, {3, 70}, {3, 71}, {4, 5}, {4, 6}, {4, 7}, {4, 9}, {4, 10}, {4, 13}, {4, 15}, {4, 16}, {4, 18}, {4, 19}, {4, 20}, {4, 27}, {4, 28}, {4, 31}, {4, 32}, {4, 33}, {4, 35}, {4, 41}, {4, 43}, {4, 44}, {4, 45}, {4, 48}, {4, 49}, {4, 56}, {4, 57}, {4, 58}, {4, 60}, {4, 61}, {4, 63}, {4, 66}, {4, 67}, {4, 69}, {4, 70}, {4, 71}, {5, 6}, {5, 7}, {5, 9}, {5, 10}, {5, 11}, {5, 12}, {5, 13}, {5, 17}, {5, 18}, {5, 20}, {5, 21}, {5, 22}, {5, 25}, {5, 27}, {5, 30}, {5, 36}, {5, 37}, {5, 40}, {5, 41}, {5, 47}, {5, 50}, {5, 52}, {5, 55}, {5, 56}, {5, 57}, {5, 59}, {5, 60}, {5, 64}, {5, 65}, {5, 66}, {5, 67}, {5, 68}, {5, 70}, {5, 71}, {6, 7}, {6, 9}, {6, 10}, {6, 11}, {6, 16}, {6, 21}, {6, 23}, {6, 25}, {6, 26}, {6, 27}, {6, 29}, {6, 30}, {6, 31}, {6, 32}, {6, 33}, {6, 34}, {6, 38}, {6, 40}, {6, 44}, {6, 45}, {6, 46}, {6, 47}, {6, 48}, {6, 49}, {6, 51}, {6, 52}, {6, 53}, {6, 55}, {6, 57}, {6, 62}, {6, 67}, {6, 68}, {6, 69}, {6, 71}, {7, 9}, {7, 10}, {7, 11}, {7, 13}, {7, 14}, {7, 16}, {7, 17}, {7, 18}, {7, 19}, {7, 24}, {7, 25}, {7, 26}, {7, 29}, {7, 31}, {7, 35}, {7, 37}, {7, 39}, {7, 40}, {7, 42}, {7, 44}, {7, 48}, {7, 50}, {7, 53}, {7, 54}, {7, 55}, {7, 60}, {7, 61}, {7, 62}, {7, 63}, {7, 65}, {7, 66}, {7, 68}, {7, 69}, {7, 70}, {8, 12}, {8, 14}, {8, 18}, {8, 23}, {8, 24}, {8, 27}, {8, 32}, {8, 35}, {8, 40}, {8, 45}, {8, 48}, {8, 53}, {8, 56}, {8, 57}, {8, 62}, {8, 66}, {8, 68}, {9, 2}, {9, 8}, {9, 10}, {9, 11}, {9, 13}, {9, 17}, {9, 19}, {9, 21}, {9, 22}, {9, 23}, {9, 25}, {9, 28}, {9, 32}, {9, 33}, {9, 35}, {9, 38}, {9, 39}, {9, 40}, {9, 41}, {9, 42}, {9, 43}, {9, 46}, {9, 48}, {9, 49}, {9, 53}, {9, 56}, {9, 58}, {9, 59}, {9, 60}, {9, 62}, {9, 64}, {9, 68}, {9, 70}, {9, 71}, {10, 3}, {10, 8}, {10, 11}, {10, 13}, {10, 16}, {10, 19}, {10, 20}, {10, 23}, {10, 24}, {10, 25}, {10, 26}, {10, 27}, {10, 28}, {10, 30}, {10, 32}, {10, 36}, {10, 37}, {10, 39}, {10, 43}, {10, 45}, {10, 46}, {10, 50}, {10, 52}, {10, 54}, {10, 55}, {10, 56}, {10, 57}, {10, 58}, {10, 59}, {10, 62}, {10, 63}, {10, 66}, {10, 69}, {10, 71}, {11, 4}, {11, 8}, {11, 13}, {11, 16}, {11, 17}, {11, 18}, {11, 19}, {11, 20}, {11, 21}, {11, 22}, {11, 24}, {11, 26}, {11, 30}, {11, 31}, {11, 32}, {11, 34}, {11, 38}, {11, 41}, {11, 42}, {11, 45}, {11, 49}, {11, 51}, {11, 52}, {11, 53}, {11, 57}, {11, 59}, {11, 61}, {11, 62}, {11, 63}, {11, 64}, {11, 65}, {11, 66}, {11, 67}, {11, 70}, {12, 14}, {12, 15}, {12, 18}, {12, 22}, {12, 24}, {12, 27}, {12, 32}, {12, 36}, {12, 42}, {12, 48}, {12, 52}, {12, 57}, {12, 60}, {12, 62}, {12, 66}, {12, 69}, {12, 70}, {13, 2}, {13, 6}, {13, 8}, {13, 12}, {13, 16}, {13, 17}, {13, 19}, {13, 21}, {13, 24}, {13, 25}, {13, 27}, {13, 28}, {13, 31}, {13, 33}, {13, 34}, {13, 35}, {13, 36}, {13, 37}, {13, 38}, {13, 47}, {13, 48}, 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24}, {71, 27}, {71, 29}, {71, 32}, {71, 36}, {71, 40}, {71, 43}, {71, 45}, {71, 48}, {71, 54}, {71, 57}, {71, 60}, {71, 64}} -> ((9*I)/42875)*(I + Sqrt[71]) +{{2, 9}, {2, 13}, {2, 16}, {2, 19}, {2, 25}, {2, 28}, {2, 30}, {2, 33}, {2, 37}, {2, 41}, {2, 44}, {2, 46}, {2, 49}, {2, 55}, {2, 58}, {2, 61}, {2, 65}, {3, 2}, {3, 10}, {3, 16}, {3, 17}, {3, 20}, {3, 25}, {3, 26}, {3, 31}, {3, 37}, {3, 38}, {3, 44}, {3, 49}, {3, 50}, {3, 55}, {3, 58}, {3, 59}, {3, 65}, {4, 2}, {4, 3}, {4, 11}, {4, 17}, {4, 21}, {4, 25}, {4, 26}, {4, 30}, {4, 37}, {4, 38}, {4, 39}, {4, 46}, {4, 50}, {4, 51}, {4, 55}, {4, 59}, {4, 65}, {5, 2}, {5, 3}, {5, 4}, {5, 16}, {5, 19}, {5, 26}, {5, 28}, {5, 31}, {5, 33}, {5, 38}, {5, 39}, {5, 44}, {5, 46}, {5, 49}, {5, 51}, {5, 58}, {5, 61}, {6, 2}, {6, 3}, {6, 4}, {6, 5}, {6, 13}, {6, 17}, {6, 19}, {6, 20}, {6, 28}, {6, 37}, {6, 39}, {6, 41}, {6, 50}, {6, 58}, {6, 59}, {6, 61}, {6, 65}, {7, 2}, {7, 3}, {7, 4}, {7, 5}, {7, 6}, {7, 20}, {7, 21}, {7, 28}, {7, 30}, {7, 33}, 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{63, 48}, {63, 49}, {63, 50}, {63, 53}, {63, 54}, {63, 57}, {63, 60}, {63, 62}, {63, 65}, {63, 70}, {64, 2}, {64, 3}, {64, 5}, {64, 9}, {64, 11}, {64, 13}, {64, 14}, {64, 15}, {64, 17}, {64, 20}, {64, 24}, {64, 25}, {64, 27}, {64, 30}, {64, 31}, {64, 32}, {64, 33}, {64, 34}, {64, 35}, {64, 38}, {64, 40}, {64, 41}, {64, 45}, {64, 48}, {64, 50}, {64, 51}, {64, 52}, {64, 54}, {64, 56}, {64, 60}, {64, 62}, {64, 63}, {64, 65}, {64, 71}, {65, 5}, {65, 7}, {65, 11}, {65, 16}, {65, 17}, {65, 20}, {65, 25}, {65, 28}, {65, 33}, {65, 38}, {65, 41}, {65, 46}, {65, 49}, {65, 50}, {65, 55}, {65, 59}, {65, 61}, {66, 3}, {66, 4}, {66, 5}, {66, 7}, {66, 8}, {66, 10}, {66, 11}, {66, 12}, {66, 13}, {66, 18}, {66, 19}, {66, 20}, {66, 23}, {66, 25}, {66, 29}, {66, 31}, {66, 33}, {66, 34}, {66, 36}, {66, 38}, {66, 42}, {66, 44}, {66, 47}, {66, 48}, {66, 49}, {66, 54}, {66, 55}, {66, 56}, {66, 57}, {66, 59}, {66, 60}, {66, 62}, {66, 63}, {66, 64}, {67, 2}, {67, 4}, {67, 5}, {67, 6}, {67, 11}, {67, 16}, {67, 18}, {67, 20}, {67, 21}, {67, 22}, {67, 24}, {67, 25}, {67, 26}, {67, 27}, {67, 28}, {67, 29}, {67, 33}, {67, 35}, {67, 39}, {67, 40}, {67, 41}, {67, 42}, {67, 43}, {67, 44}, {67, 46}, {67, 47}, {67, 48}, {67, 50}, {67, 52}, {67, 57}, {67, 62}, {67, 63}, {67, 64}, {67, 66}, {68, 2}, {68, 3}, {68, 5}, {68, 6}, {68, 7}, {68, 8}, {68, 9}, {68, 13}, {68, 14}, {68, 16}, {68, 17}, {68, 18}, {68, 21}, {68, 23}, {68, 26}, {68, 32}, {68, 33}, {68, 36}, {68, 37}, {68, 43}, {68, 46}, {68, 48}, {68, 51}, {68, 52}, {68, 53}, {68, 55}, {68, 56}, {68, 60}, {68, 61}, {68, 62}, {68, 63}, {68, 64}, {68, 66}, {68, 67}, {69, 2}, {69, 3}, {69, 4}, {69, 6}, {69, 7}, {69, 10}, {69, 12}, {69, 13}, {69, 15}, {69, 16}, {69, 17}, {69, 24}, {69, 25}, {69, 28}, {69, 29}, {69, 30}, {69, 32}, {69, 38}, {69, 40}, {69, 41}, {69, 42}, {69, 45}, {69, 46}, {69, 53}, {69, 54}, {69, 55}, {69, 57}, {69, 58}, {69, 60}, {69, 63}, {69, 64}, {69, 66}, {69, 67}, {69, 68}, {70, 2}, {70, 3}, {70, 4}, {70, 5}, {70, 7}, {70, 9}, {70, 11}, {70, 12}, {70, 17}, {70, 19}, {70, 22}, {70, 26}, {70, 27}, {70, 28}, {70, 31}, {70, 32}, {70, 34}, {70, 37}, {70, 39}, {70, 40}, {70, 43}, {70, 44}, {70, 45}, {70, 49}, {70, 52}, {70, 54}, {70, 59}, {70, 60}, {70, 62}, {70, 64}, {70, 66}, {70, 67}, {70, 68}, {70, 69}, {71, 2}, {71, 3}, {71, 4}, {71, 5}, {71, 6}, {71, 9}, {71, 10}, {71, 14}, {71, 16}, {71, 19}, {71, 20}, {71, 22}, {71, 23}, {71, 25}, {71, 30}, {71, 34}, {71, 35}, {71, 37}, {71, 38}, {71, 42}, {71, 47}, {71, 49}, {71, 50}, {71, 52}, {71, 53}, {71, 56}, {71, 58}, {71, 62}, {71, 63}, {71, 66}, {71, 67}, {71, 68}, {71, 69}, {71, 70}} -> ((-9*I)/42875)*(-I + Sqrt[71]) diff --git a/etf_39x79_6a.exa b/etf_39x79_6a.exa new file mode 100644 index 0000000..29af657 --- /dev/null +++ b/etf_39x79_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}} -> 20/1521 +{{2, 4}, {2, 7}, {2, 13}, {2, 15}, {2, 18}, {2, 25}, {2, 28}, {2, 34}, {2, 38}, {2, 40}, {2, 42}, {2, 44}, {2, 48}, {2, 54}, {2, 57}, {2, 64}, {2, 67}, {2, 69}, {2, 75}, {2, 78}, {3, 4}, {3, 7}, {3, 8}, {3, 13}, {3, 16}, {3, 25}, {3, 28}, {3, 29}, {3, 34}, {3, 35}, {3, 48}, {3, 49}, {3, 54}, {3, 55}, {3, 58}, {3, 67}, {3, 70}, {3, 75}, {3, 76}, {3, 79}, {5, 7}, {5, 13}, {5, 15}, {5, 16}, {5, 18}, {5, 25}, {5, 28}, {5, 30}, {5, 31}, {5, 36}, {5, 49}, {5, 54}, {5, 55}, {5, 57}, {5, 60}, {5, 67}, {5, 69}, {5, 70}, {5, 72}, {5, 78}, {6, 7}, {6, 8}, {6, 15}, {6, 16}, {6, 25}, {6, 28}, {6, 29}, {6, 31}, {6, 38}, {6, 42}, {6, 44}, {6, 48}, {6, 55}, {6, 57}, {6, 58}, {6, 61}, {6, 70}, {6, 71}, {6, 78}, {6, 79}, {9, 13}, {9, 18}, {9, 25}, {9, 28}, {9, 29}, {9, 30}, {9, 31}, {9, 34}, {9, 35}, {9, 40}, {9, 49}, {9, 54}, {9, 55}, {9, 58}, {9, 59}, {9, 60}, {9, 61}, {9, 64}, {9, 71}, {9, 76}, {10, 4}, {10, 7}, {10, 15}, {10, 18}, {10, 28}, {10, 29}, {10, 30}, {10, 31}, {10, 35}, {10, 36}, {10, 42}, {10, 48}, {10, 54}, {10, 55}, {10, 59}, {10, 60}, {10, 61}, {10, 62}, {10, 72}, {10, 75}, {11, 4}, {11, 8}, {11, 13}, {11, 15}, {11, 16}, {11, 29}, {11, 30}, {11, 31}, {11, 34}, {11, 36}, {11, 42}, {11, 49}, {11, 55}, {11, 57}, {11, 60}, {11, 61}, {11, 62}, {11, 75}, {11, 76}, {11, 78}, {12, 13}, {12, 16}, {12, 25}, {12, 28}, {12, 30}, {12, 31}, {12, 34}, {12, 35}, {12, 38}, {12, 44}, {12, 48}, {12, 54}, {12, 57}, {12, 58}, {12, 61}, {12, 62}, {12, 64}, {12, 67}, {12, 76}, {12, 79}, {14, 7}, {14, 8}, {14, 15}, {14, 16}, {14, 18}, {14, 25}, {14, 30}, {14, 34}, {14, 35}, {14, 36}, {14, 40}, {14, 54}, {14, 58}, {14, 59}, {14, 60}, {14, 64}, {14, 69}, {14, 76}, {14, 78}, {14, 79}, {17, 18}, {17, 25}, {17, 28}, {17, 30}, {17, 35}, {17, 36}, {17, 38}, {17, 40}, {17, 42}, {17, 48}, {17, 49}, {17, 55}, {17, 57}, {17, 59}, {17, 61}, {17, 62}, {17, 67}, {17, 69}, {17, 72}, {17, 79}, {19, 4}, {19, 7}, {19, 13}, {19, 16}, {19, 28}, {19, 29}, {19, 30}, {19, 35}, {19, 38}, {19, 40}, {19, 42}, {19, 44}, {19, 55}, {19, 57}, {19, 59}, {19, 61}, {19, 64}, {19, 69}, {19, 70}, {19, 71}, {20, 8}, {20, 13}, {20, 25}, {20, 28}, {20, 29}, {20, 30}, {20, 31}, {20, 36}, {20, 38}, {20, 40}, {20, 42}, {20, 58}, {20, 60}, {20, 62}, {20, 64}, {20, 69}, {20, 70}, {20, 71}, {20, 72}, {20, 75}, {21, 4}, {21, 7}, {21, 15}, {21, 18}, {21, 25}, {21, 29}, {21, 30}, {21, 31}, {21, 34}, {21, 40}, {21, 42}, {21, 44}, {21, 57}, {21, 59}, {21, 61}, {21, 67}, {21, 70}, {21, 71}, {21, 72}, {21, 76}, {22, 7}, {22, 8}, {22, 15}, {22, 16}, {22, 30}, {22, 31}, {22, 35}, {22, 38}, {22, 40}, {22, 42}, {22, 44}, {22, 48}, {22, 54}, {22, 58}, {22, 60}, {22, 62}, {22, 64}, {22, 67}, {22, 71}, {22, 72}, {23, 8}, {23, 16}, {23, 25}, {23, 28}, {23, 31}, {23, 34}, {23, 36}, {23, 42}, {23, 44}, {23, 48}, {23, 49}, {23, 54}, {23, 55}, {23, 59}, {23, 61}, {23, 67}, {23, 69}, {23, 72}, {23, 75}, {23, 78}, {24, 7}, {24, 18}, {24, 25}, {24, 28}, {24, 29}, {24, 34}, {24, 35}, {24, 40}, {24, 42}, {24, 44}, {24, 49}, {24, 55}, {24, 60}, {24, 62}, {24, 64}, {24, 69}, {24, 70}, {24, 75}, {24, 76}, {24, 79}, {26, 28}, {26, 30}, {26, 31}, {26, 34}, {26, 35}, {26, 36}, {26, 42}, {26, 44}, {26, 48}, {26, 49}, {26, 57}, {26, 58}, {26, 62}, {26, 64}, {26, 70}, {26, 71}, {26, 72}, {26, 75}, {26, 76}, {26, 78}, {27, 13}, {27, 15}, {27, 28}, {27, 29}, {27, 31}, {27, 35}, {27, 36}, {27, 38}, {27, 40}, {27, 48}, {27, 49}, {27, 58}, {27, 59}, {27, 67}, {27, 69}, {27, 71}, {27, 72}, {27, 76}, {27, 78}, {27, 79}, {32, 4}, {32, 8}, {32, 15}, {32, 18}, {32, 25}, {32, 29}, {32, 34}, {32, 36}, {32, 40}, {32, 42}, {32, 48}, {32, 54}, {32, 55}, {32, 57}, {32, 58}, {32, 64}, {32, 70}, {32, 72}, {32, 76}, {32, 78}, {33, 4}, {33, 16}, {33, 18}, {33, 30}, {33, 34}, {33, 35}, {33, 38}, {33, 42}, {33, 44}, {33, 49}, {33, 54}, {33, 55}, {33, 58}, {33, 59}, {33, 64}, {33, 69}, {33, 71}, {33, 75}, {33, 78}, {33, 79}, {37, 4}, {37, 7}, {37, 8}, {37, 13}, {37, 25}, {37, 30}, {37, 31}, {37, 34}, {37, 38}, {37, 42}, {37, 48}, {37, 55}, {37, 57}, {37, 58}, {37, 59}, {37, 60}, {37, 62}, {37, 69}, {37, 75}, {37, 79}, {39, 4}, {39, 15}, {39, 25}, {39, 36}, {39, 40}, {39, 44}, {39, 48}, {39, 49}, {39, 55}, {39, 57}, {39, 58}, {39, 59}, {39, 60}, {39, 61}, {39, 62}, {39, 64}, {39, 70}, {39, 71}, {39, 75}, {39, 79}, {41, 4}, {41, 7}, {41, 8}, {41, 13}, {41, 29}, {41, 34}, {41, 35}, {41, 38}, {41, 42}, {41, 49}, {41, 54}, {41, 57}, {41, 59}, {41, 60}, {41, 61}, {41, 62}, {41, 64}, {41, 67}, {41, 72}, {41, 79}, {43, 4}, {43, 8}, {43, 13}, {43, 15}, {43, 16}, {43, 28}, {43, 29}, {43, 31}, {43, 36}, {43, 40}, {43, 44}, {43, 48}, {43, 54}, {43, 59}, {43, 61}, {43, 62}, {43, 64}, {43, 69}, {43, 75}, {43, 79}, {45, 4}, {45, 8}, {45, 15}, {45, 16}, {45, 18}, {45, 28}, {45, 30}, {45, 31}, {45, 38}, {45, 42}, {45, 49}, {45, 54}, {45, 55}, {45, 58}, {45, 61}, {45, 64}, {45, 67}, {45, 70}, {45, 71}, {45, 76}, {46, 7}, {46, 13}, {46, 16}, {46, 18}, {46, 29}, {46, 31}, {46, 34}, {46, 40}, {46, 48}, {46, 54}, {46, 55}, {46, 57}, {46, 59}, {46, 62}, {46, 64}, {46, 67}, {46, 69}, {46, 71}, {46, 72}, {46, 78}, {47, 4}, {47, 8}, {47, 13}, {47, 18}, {47, 30}, {47, 35}, {47, 40}, {47, 44}, {47, 48}, {47, 49}, {47, 55}, {47, 57}, {47, 58}, {47, 60}, {47, 67}, {47, 69}, {47, 70}, {47, 72}, {47, 78}, {47, 79}, {50, 7}, {50, 13}, {50, 15}, {50, 16}, {50, 35}, {50, 36}, {50, 38}, {50, 44}, {50, 54}, {50, 55}, {50, 58}, {50, 59}, {50, 60}, {50, 61}, {50, 69}, {50, 70}, {50, 71}, {50, 72}, {50, 75}, {50, 76}, {51, 4}, {51, 8}, {51, 16}, {51, 18}, {51, 34}, {51, 36}, {51, 44}, {51, 48}, {51, 55}, {51, 59}, {51, 60}, {51, 61}, {51, 62}, {51, 64}, {51, 67}, {51, 69}, {51, 70}, {51, 71}, {51, 72}, {51, 76}, {52, 4}, {52, 13}, {52, 15}, {52, 18}, {52, 25}, {52, 28}, {52, 35}, {52, 38}, {52, 40}, {52, 49}, {52, 54}, {52, 57}, {52, 60}, {52, 61}, {52, 62}, {52, 70}, {52, 71}, {52, 72}, {52, 75}, {52, 78}, {53, 16}, {53, 18}, {53, 25}, {53, 29}, {53, 36}, {53, 38}, {53, 54}, {53, 55}, {53, 57}, {53, 58}, {53, 61}, {53, 62}, {53, 64}, {53, 69}, {53, 71}, {53, 72}, {53, 75}, {53, 76}, {53, 78}, {53, 79}, {56, 8}, {56, 13}, {56, 15}, {56, 28}, {56, 29}, {56, 42}, {56, 44}, {56, 49}, {56, 57}, {56, 58}, {56, 60}, {56, 61}, {56, 64}, {56, 67}, {56, 69}, {56, 72}, {56, 75}, {56, 76}, {56, 78}, {56, 79}, {63, 4}, {63, 7}, {63, 15}, {63, 16}, {63, 28}, {63, 29}, {63, 30}, {63, 34}, {63, 35}, {63, 36}, {63, 48}, {63, 49}, {63, 57}, {63, 60}, {63, 64}, {63, 67}, {63, 71}, {63, 72}, {63, 76}, {63, 79}, {65, 4}, {65, 7}, {65, 8}, {65, 18}, {65, 28}, {65, 30}, {65, 31}, {65, 35}, {65, 36}, {65, 38}, {65, 48}, {65, 58}, {65, 59}, {65, 62}, {65, 67}, {65, 69}, {65, 70}, {65, 75}, {65, 76}, {65, 78}, {66, 7}, {66, 8}, {66, 13}, {66, 18}, {66, 25}, {66, 29}, {66, 31}, {66, 36}, {66, 38}, {66, 42}, {66, 49}, {66, 54}, {66, 59}, {66, 60}, {66, 67}, {66, 70}, {66, 71}, {66, 75}, {66, 76}, {66, 79}, {68, 7}, {68, 8}, {68, 15}, {68, 25}, {68, 29}, {68, 31}, {68, 34}, {68, 35}, {68, 38}, {68, 40}, {68, 44}, {68, 54}, {68, 61}, {68, 62}, {68, 69}, {68, 70}, {68, 72}, {68, 76}, {68, 78}, {68, 79}, {73, 4}, {73, 7}, {73, 13}, {73, 15}, {73, 16}, {73, 25}, {73, 30}, {73, 34}, {73, 36}, {73, 38}, {73, 40}, {73, 44}, {73, 49}, {73, 58}, {73, 59}, {73, 61}, {73, 67}, {73, 70}, {73, 75}, {73, 78}, {74, 4}, {74, 8}, {74, 13}, {74, 15}, {74, 16}, {74, 18}, {74, 31}, {74, 35}, {74, 40}, {74, 44}, {74, 57}, {74, 59}, {74, 60}, {74, 62}, {74, 67}, {74, 71}, {74, 75}, {74, 76}, {74, 78}, {74, 79}, {77, 7}, {77, 8}, {77, 16}, {77, 18}, {77, 29}, {77, 30}, {77, 34}, {77, 36}, {77, 38}, {77, 40}, {77, 42}, {77, 44}, {77, 48}, {77, 49}, {77, 60}, {77, 62}, {77, 70}, {77, 71}, {77, 78}, {77, 79}} -> (59 + (19*I)*Sqrt[79])/118638 +{{4, 2}, {4, 3}, {4, 10}, {4, 11}, {4, 19}, {4, 21}, {4, 32}, {4, 33}, {4, 37}, {4, 39}, {4, 41}, {4, 43}, {4, 45}, {4, 47}, {4, 51}, {4, 52}, {4, 63}, {4, 65}, {4, 73}, {4, 74}, {7, 2}, {7, 3}, {7, 5}, {7, 6}, {7, 10}, {7, 14}, {7, 19}, {7, 21}, {7, 22}, {7, 24}, {7, 37}, {7, 41}, {7, 46}, {7, 50}, {7, 63}, {7, 65}, {7, 66}, {7, 68}, {7, 73}, {7, 77}, {8, 3}, {8, 6}, {8, 11}, {8, 14}, {8, 20}, {8, 22}, {8, 23}, {8, 32}, {8, 37}, {8, 41}, {8, 43}, {8, 45}, {8, 47}, {8, 51}, {8, 56}, {8, 65}, {8, 66}, {8, 68}, {8, 74}, {8, 77}, {13, 2}, {13, 3}, {13, 5}, {13, 9}, {13, 11}, {13, 12}, {13, 19}, {13, 20}, {13, 27}, {13, 37}, {13, 41}, {13, 43}, {13, 46}, {13, 47}, {13, 50}, {13, 52}, {13, 56}, {13, 66}, {13, 73}, {13, 74}, {15, 2}, {15, 5}, {15, 6}, {15, 10}, {15, 11}, {15, 14}, {15, 21}, {15, 22}, {15, 27}, {15, 32}, {15, 39}, {15, 43}, {15, 45}, {15, 50}, {15, 52}, {15, 56}, {15, 63}, {15, 68}, {15, 73}, {15, 74}, {16, 3}, {16, 5}, {16, 6}, {16, 11}, {16, 12}, {16, 14}, {16, 19}, {16, 22}, {16, 23}, {16, 33}, {16, 43}, {16, 45}, {16, 46}, {16, 50}, {16, 51}, {16, 53}, {16, 63}, {16, 73}, {16, 74}, {16, 77}, {18, 2}, {18, 5}, {18, 9}, {18, 10}, {18, 14}, {18, 17}, {18, 21}, {18, 24}, {18, 32}, {18, 33}, {18, 45}, {18, 46}, {18, 47}, {18, 51}, {18, 52}, {18, 53}, {18, 65}, {18, 66}, {18, 74}, {18, 77}, {25, 2}, {25, 3}, {25, 5}, {25, 6}, {25, 9}, {25, 12}, {25, 14}, {25, 17}, {25, 20}, {25, 21}, {25, 23}, {25, 24}, {25, 32}, {25, 37}, {25, 39}, {25, 52}, {25, 53}, {25, 66}, {25, 68}, {25, 73}, {28, 2}, {28, 3}, {28, 5}, {28, 6}, {28, 9}, {28, 10}, {28, 12}, {28, 17}, {28, 19}, {28, 20}, {28, 23}, {28, 24}, {28, 26}, {28, 27}, {28, 43}, {28, 45}, {28, 52}, {28, 56}, {28, 63}, {28, 65}, {29, 3}, {29, 6}, {29, 9}, {29, 10}, {29, 11}, {29, 19}, {29, 20}, {29, 21}, {29, 24}, {29, 27}, {29, 32}, {29, 41}, {29, 43}, {29, 46}, {29, 53}, {29, 56}, {29, 63}, {29, 66}, {29, 68}, {29, 77}, {30, 5}, {30, 9}, {30, 10}, {30, 11}, {30, 12}, {30, 14}, {30, 17}, {30, 19}, {30, 20}, {30, 21}, {30, 22}, {30, 26}, {30, 33}, {30, 37}, {30, 45}, {30, 47}, {30, 63}, {30, 65}, {30, 73}, {30, 77}, {31, 5}, {31, 6}, {31, 9}, {31, 10}, {31, 11}, {31, 12}, {31, 20}, {31, 21}, {31, 22}, {31, 23}, {31, 26}, {31, 27}, {31, 37}, {31, 43}, {31, 45}, {31, 46}, {31, 65}, {31, 66}, {31, 68}, {31, 74}, {34, 2}, {34, 3}, {34, 9}, {34, 11}, {34, 12}, {34, 14}, {34, 21}, {34, 23}, {34, 24}, {34, 26}, {34, 32}, {34, 33}, {34, 37}, {34, 41}, {34, 46}, {34, 51}, {34, 63}, {34, 68}, {34, 73}, {34, 77}, {35, 3}, {35, 9}, {35, 10}, {35, 12}, {35, 14}, {35, 17}, {35, 19}, {35, 22}, {35, 24}, {35, 26}, {35, 27}, {35, 33}, {35, 41}, {35, 47}, {35, 50}, {35, 52}, {35, 63}, {35, 65}, {35, 68}, {35, 74}, {36, 5}, {36, 10}, {36, 11}, {36, 14}, {36, 17}, {36, 20}, {36, 23}, {36, 26}, {36, 27}, {36, 32}, {36, 39}, {36, 43}, {36, 50}, {36, 51}, {36, 53}, {36, 63}, {36, 65}, {36, 66}, {36, 73}, {36, 77}, {38, 2}, {38, 6}, {38, 12}, {38, 17}, {38, 19}, {38, 20}, {38, 22}, {38, 27}, {38, 33}, {38, 37}, {38, 41}, {38, 45}, {38, 50}, {38, 52}, {38, 53}, {38, 65}, {38, 66}, {38, 68}, {38, 73}, {38, 77}, {40, 2}, {40, 9}, {40, 14}, {40, 17}, {40, 19}, {40, 20}, {40, 21}, {40, 22}, {40, 24}, {40, 27}, {40, 32}, {40, 39}, {40, 43}, {40, 46}, {40, 47}, {40, 52}, {40, 68}, {40, 73}, {40, 74}, {40, 77}, {42, 2}, {42, 6}, {42, 10}, {42, 11}, {42, 17}, {42, 19}, {42, 20}, {42, 21}, {42, 22}, {42, 23}, {42, 24}, {42, 26}, {42, 32}, {42, 33}, {42, 37}, {42, 41}, {42, 45}, {42, 56}, {42, 66}, {42, 77}, {44, 2}, {44, 6}, {44, 12}, {44, 19}, {44, 21}, {44, 22}, {44, 23}, {44, 24}, {44, 26}, {44, 33}, {44, 39}, {44, 43}, {44, 47}, {44, 50}, {44, 51}, {44, 56}, {44, 68}, {44, 73}, {44, 74}, {44, 77}, {48, 2}, {48, 3}, {48, 6}, {48, 10}, {48, 12}, {48, 17}, {48, 22}, {48, 23}, {48, 26}, {48, 27}, {48, 32}, {48, 37}, {48, 39}, {48, 43}, {48, 46}, {48, 47}, {48, 51}, {48, 63}, {48, 65}, {48, 77}, {49, 3}, {49, 5}, {49, 9}, {49, 11}, {49, 17}, {49, 23}, {49, 24}, {49, 26}, {49, 27}, {49, 33}, {49, 39}, {49, 41}, {49, 45}, {49, 47}, {49, 52}, {49, 56}, {49, 63}, {49, 66}, {49, 73}, {49, 77}, {54, 2}, {54, 3}, {54, 5}, {54, 9}, {54, 10}, {54, 12}, {54, 14}, {54, 22}, {54, 23}, {54, 32}, {54, 33}, {54, 41}, {54, 43}, {54, 45}, {54, 46}, {54, 50}, {54, 52}, {54, 53}, {54, 66}, {54, 68}, {55, 3}, {55, 5}, {55, 6}, {55, 9}, {55, 10}, {55, 11}, {55, 17}, {55, 19}, {55, 23}, {55, 24}, {55, 32}, {55, 33}, {55, 37}, {55, 39}, {55, 45}, {55, 46}, {55, 47}, {55, 50}, {55, 51}, {55, 53}, {57, 2}, {57, 5}, {57, 6}, {57, 11}, {57, 12}, {57, 17}, {57, 19}, {57, 21}, {57, 26}, {57, 32}, {57, 37}, {57, 39}, {57, 41}, {57, 46}, {57, 47}, {57, 52}, {57, 53}, {57, 56}, {57, 63}, {57, 74}, {58, 3}, {58, 6}, {58, 9}, {58, 12}, {58, 14}, {58, 20}, {58, 22}, {58, 26}, {58, 27}, {58, 32}, {58, 33}, {58, 37}, {58, 39}, {58, 45}, {58, 47}, {58, 50}, {58, 53}, {58, 56}, {58, 65}, {58, 73}, {59, 9}, {59, 10}, {59, 14}, {59, 17}, {59, 19}, {59, 21}, {59, 23}, {59, 27}, {59, 33}, {59, 37}, {59, 39}, {59, 41}, {59, 43}, {59, 46}, {59, 50}, {59, 51}, {59, 65}, {59, 66}, {59, 73}, {59, 74}, {60, 5}, {60, 9}, {60, 10}, {60, 11}, {60, 14}, {60, 20}, {60, 22}, {60, 24}, {60, 37}, {60, 39}, {60, 41}, {60, 47}, {60, 50}, {60, 51}, {60, 52}, {60, 56}, {60, 63}, {60, 66}, {60, 74}, {60, 77}, {61, 6}, {61, 9}, {61, 10}, {61, 11}, {61, 12}, {61, 17}, {61, 19}, {61, 21}, {61, 23}, {61, 39}, {61, 41}, {61, 43}, {61, 45}, {61, 50}, {61, 51}, {61, 52}, {61, 53}, {61, 56}, {61, 68}, {61, 73}, {62, 10}, {62, 11}, {62, 12}, {62, 17}, {62, 20}, {62, 22}, {62, 24}, {62, 26}, {62, 37}, {62, 39}, {62, 41}, {62, 43}, {62, 46}, {62, 51}, {62, 52}, {62, 53}, {62, 65}, {62, 68}, {62, 74}, {62, 77}, {64, 2}, {64, 9}, {64, 12}, {64, 14}, {64, 19}, {64, 20}, {64, 22}, {64, 24}, {64, 26}, {64, 32}, {64, 33}, {64, 39}, {64, 41}, {64, 43}, {64, 45}, {64, 46}, {64, 51}, {64, 53}, {64, 56}, {64, 63}, {67, 2}, {67, 3}, {67, 5}, {67, 12}, {67, 17}, {67, 21}, {67, 22}, {67, 23}, {67, 27}, {67, 41}, {67, 45}, {67, 46}, {67, 47}, {67, 51}, {67, 56}, {67, 63}, {67, 65}, {67, 66}, {67, 73}, {67, 74}, {69, 2}, {69, 5}, {69, 14}, {69, 17}, {69, 19}, {69, 20}, {69, 23}, {69, 24}, {69, 27}, {69, 33}, {69, 37}, {69, 43}, {69, 46}, {69, 47}, {69, 50}, {69, 51}, {69, 53}, {69, 56}, {69, 65}, {69, 68}, {70, 3}, {70, 5}, {70, 6}, {70, 19}, {70, 20}, {70, 21}, {70, 24}, {70, 26}, {70, 32}, {70, 39}, {70, 45}, {70, 47}, {70, 50}, {70, 51}, {70, 52}, {70, 65}, {70, 66}, {70, 68}, {70, 73}, {70, 77}, {71, 6}, {71, 9}, {71, 19}, {71, 20}, {71, 21}, {71, 22}, {71, 26}, {71, 27}, {71, 33}, {71, 39}, {71, 45}, {71, 46}, {71, 50}, {71, 51}, {71, 52}, {71, 53}, {71, 63}, {71, 66}, {71, 74}, {71, 77}, {72, 5}, {72, 10}, {72, 17}, {72, 20}, {72, 21}, {72, 22}, {72, 23}, {72, 26}, {72, 27}, {72, 32}, {72, 41}, {72, 46}, {72, 47}, {72, 50}, {72, 51}, {72, 52}, {72, 53}, {72, 56}, {72, 63}, {72, 68}, {75, 2}, {75, 3}, {75, 10}, {75, 11}, {75, 20}, {75, 23}, {75, 24}, {75, 26}, {75, 33}, {75, 37}, {75, 39}, {75, 43}, {75, 50}, {75, 52}, {75, 53}, {75, 56}, {75, 65}, {75, 66}, {75, 73}, {75, 74}, {76, 3}, {76, 9}, {76, 11}, {76, 12}, {76, 14}, {76, 21}, {76, 24}, {76, 26}, {76, 27}, {76, 32}, {76, 45}, {76, 50}, {76, 51}, {76, 53}, {76, 56}, {76, 63}, {76, 65}, {76, 66}, {76, 68}, {76, 74}, {78, 2}, {78, 5}, {78, 6}, {78, 11}, {78, 14}, {78, 23}, {78, 26}, {78, 27}, {78, 32}, {78, 33}, {78, 46}, {78, 47}, {78, 52}, {78, 53}, {78, 56}, {78, 65}, {78, 68}, {78, 73}, {78, 74}, {78, 77}, {79, 3}, {79, 6}, {79, 12}, {79, 14}, {79, 17}, {79, 24}, {79, 27}, {79, 33}, {79, 37}, {79, 39}, {79, 41}, {79, 43}, {79, 47}, {79, 53}, {79, 56}, {79, 63}, {79, 66}, {79, 68}, {79, 74}, {79, 77}} -> (59 - (19*I)*Sqrt[79])/118638 +{{2, 3}, {2, 6}, {2, 8}, {2, 10}, {2, 11}, {2, 12}, {2, 16}, {2, 20}, {2, 21}, {2, 22}, {2, 23}, {2, 24}, {2, 27}, {2, 29}, {2, 30}, {2, 31}, {2, 33}, {2, 35}, {2, 36}, {2, 46}, {2, 47}, {2, 49}, {2, 51}, {2, 52}, {2, 53}, {2, 55}, {2, 58}, {2, 59}, {2, 60}, {2, 61}, {2, 62}, {2, 66}, {2, 70}, {2, 71}, {2, 72}, {2, 74}, {2, 76}, {2, 79}, {3, 5}, {3, 11}, {3, 12}, {3, 14}, {3, 15}, {3, 18}, {3, 19}, {3, 21}, {3, 22}, {3, 23}, {3, 24}, {3, 26}, {3, 30}, {3, 31}, {3, 36}, {3, 38}, {3, 39}, {3, 40}, {3, 41}, {3, 42}, {3, 43}, {3, 44}, {3, 45}, {3, 47}, {3, 52}, {3, 53}, {3, 57}, {3, 59}, {3, 60}, {3, 61}, {3, 62}, {3, 64}, {3, 65}, {3, 68}, {3, 69}, {3, 71}, {3, 72}, {3, 78}, {4, 8}, {4, 13}, {4, 15}, {4, 25}, {4, 29}, {4, 30}, {4, 35}, {4, 36}, {4, 40}, {4, 42}, {4, 44}, {4, 48}, {4, 49}, {4, 54}, {4, 55}, {4, 59}, {4, 69}, {4, 71}, {4, 76}, {5, 2}, {5, 4}, {5, 6}, {5, 8}, {5, 9}, {5, 10}, {5, 14}, {5, 21}, {5, 23}, {5, 24}, {5, 26}, {5, 27}, {5, 29}, {5, 34}, {5, 35}, {5, 37}, {5, 38}, {5, 40}, {5, 41}, {5, 42}, {5, 43}, {5, 44}, {5, 45}, {5, 47}, {5, 48}, {5, 50}, {5, 51}, {5, 56}, {5, 58}, {5, 59}, {5, 61}, {5, 62}, {5, 64}, {5, 71}, {5, 75}, {5, 76}, {5, 77}, {5, 79}, {6, 3}, {6, 4}, {6, 10}, {6, 11}, {6, 13}, {6, 14}, {6, 17}, {6, 18}, {6, 19}, {6, 22}, {6, 24}, {6, 26}, {6, 27}, {6, 30}, {6, 32}, {6, 34}, {6, 35}, {6, 36}, {6, 37}, {6, 40}, {6, 46}, {6, 49}, {6, 50}, {6, 51}, {6, 52}, {6, 54}, {6, 56}, {6, 59}, {6, 60}, {6, 62}, {6, 64}, {6, 67}, {6, 68}, {6, 69}, {6, 72}, {6, 73}, {6, 75}, {6, 76}, {7, 4}, {7, 8}, {7, 15}, {7, 16}, {7, 18}, {7, 25}, {7, 28}, {7, 29}, {7, 30}, {7, 38}, {7, 49}, {7, 57}, {7, 58}, {7, 59}, {7, 62}, {7, 69}, {7, 71}, {7, 72}, {7, 79}, {8, 13}, {8, 16}, {8, 18}, {8, 28}, {8, 29}, {8, 30}, {8, 31}, {8, 34}, {8, 40}, {8, 44}, {8, 48}, {8, 54}, {8, 57}, {8, 58}, {8, 59}, {8, 60}, {8, 70}, {8, 72}, {8, 75}, {9, 2}, {9, 3}, {9, 4}, {9, 6}, {9, 7}, {9, 8}, {9, 10}, {9, 11}, {9, 14}, {9, 15}, {9, 16}, {9, 17}, {9, 19}, {9, 20}, {9, 22}, {9, 27}, {9, 32}, {9, 36}, {9, 38}, {9, 41}, {9, 42}, {9, 44}, {9, 45}, {9, 47}, {9, 48}, {9, 51}, {9, 53}, {9, 57}, {9, 62}, {9, 67}, {9, 69}, {9, 70}, {9, 72}, {9, 73}, {9, 74}, {9, 75}, {9, 78}, {9, 79}, {10, 3}, {10, 8}, {10, 11}, {10, 12}, {10, 13}, {10, 14}, {10, 16}, {10, 19}, {10, 20}, {10, 21}, {10, 23}, {10, 25}, {10, 26}, {10, 32}, {10, 33}, {10, 34}, {10, 38}, {10, 40}, {10, 41}, {10, 44}, {10, 46}, {10, 49}, {10, 50}, {10, 52}, {10, 56}, {10, 57}, {10, 58}, {10, 64}, {10, 65}, {10, 67}, {10, 69}, {10, 70}, {10, 71}, {10, 74}, {10, 76}, {10, 77}, {10, 78}, {10, 79}, {11, 5}, {11, 7}, {11, 12}, {11, 18}, {11, 19}, {11, 20}, {11, 21}, {11, 22}, {11, 24}, {11, 25}, {11, 27}, {11, 28}, {11, 32}, {11, 33}, {11, 35}, {11, 37}, {11, 38}, {11, 40}, {11, 43}, {11, 44}, {11, 47}, {11, 48}, {11, 51}, {11, 53}, {11, 54}, {11, 56}, {11, 58}, {11, 59}, {11, 63}, {11, 64}, {11, 66}, {11, 67}, {11, 69}, {11, 70}, {11, 71}, {11, 72}, {11, 73}, {11, 79}, {12, 4}, {12, 5}, {12, 6}, {12, 7}, {12, 8}, {12, 9}, {12, 14}, {12, 15}, {12, 17}, {12, 18}, {12, 20}, {12, 21}, {12, 22}, {12, 23}, {12, 29}, {12, 32}, {12, 33}, {12, 36}, {12, 37}, {12, 40}, {12, 42}, {12, 43}, {12, 49}, {12, 50}, {12, 52}, {12, 55}, {12, 56}, {12, 59}, {12, 60}, {12, 63}, {12, 69}, {12, 70}, {12, 71}, {12, 72}, {12, 74}, {12, 75}, {12, 77}, {12, 78}, {13, 7}, {13, 15}, {13, 18}, {13, 29}, {13, 31}, {13, 34}, {13, 35}, {13, 36}, {13, 38}, {13, 44}, {13, 49}, {13, 55}, {13, 57}, {13, 58}, {13, 59}, {13, 62}, {13, 64}, {13, 75}, {13, 78}, {14, 2}, {14, 4}, {14, 11}, {14, 13}, {14, 19}, {14, 22}, {14, 23}, {14, 24}, {14, 27}, {14, 28}, {14, 29}, {14, 31}, {14, 32}, {14, 33}, 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31}, {79, 36}, {79, 38}, {79, 40}, {79, 42}, {79, 44}, {79, 49}, {79, 55}, {79, 62}, {79, 64}, {79, 67}, {79, 72}, {79, 76}} -> ((10*I)/59319)*(I + Sqrt[79]) +{{2, 5}, {2, 9}, {2, 14}, {2, 17}, {2, 19}, {2, 26}, {2, 32}, {2, 37}, {2, 39}, {2, 41}, {2, 43}, {2, 45}, {2, 50}, {2, 56}, {2, 63}, {2, 65}, {2, 68}, {2, 73}, {2, 77}, {3, 2}, {3, 6}, {3, 9}, {3, 10}, {3, 17}, {3, 20}, {3, 27}, {3, 32}, {3, 33}, {3, 37}, {3, 46}, {3, 50}, {3, 51}, {3, 56}, {3, 63}, {3, 66}, {3, 73}, {3, 74}, {3, 77}, {4, 5}, {4, 6}, {4, 7}, {4, 9}, {4, 12}, {4, 14}, {4, 16}, {4, 17}, {4, 18}, {4, 20}, {4, 22}, {4, 23}, {4, 24}, {4, 26}, {4, 27}, {4, 28}, {4, 31}, {4, 34}, {4, 38}, {4, 46}, {4, 50}, {4, 53}, {4, 56}, {4, 57}, {4, 58}, {4, 60}, {4, 61}, {4, 62}, {4, 64}, {4, 66}, {4, 67}, {4, 68}, {4, 70}, {4, 72}, {4, 75}, {4, 77}, {4, 78}, {4, 79}, {5, 3}, {5, 11}, {5, 12}, {5, 17}, {5, 19}, {5, 20}, {5, 22}, {5, 32}, {5, 33}, {5, 39}, {5, 46}, {5, 52}, {5, 53}, {5, 63}, {5, 65}, {5, 66}, {5, 68}, {5, 73}, {5, 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a/etf_41x83_6a.exa b/etf_41x83_6a.exa new file mode 100644 index 0000000..bd77fa5 --- /dev/null +++ b/etf_41x83_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}} -> 21/1681 +{{2, 3}, {2, 6}, {2, 9}, {2, 14}, {2, 19}, {2, 23}, {2, 25}, {2, 33}, {2, 35}, {2, 40}, {2, 43}, {2, 46}, {2, 51}, {2, 53}, {2, 61}, {2, 63}, {2, 67}, {2, 72}, {2, 77}, {2, 80}, {2, 83}, {4, 7}, {4, 14}, {4, 15}, {4, 16}, {4, 20}, {4, 21}, {4, 25}, {4, 33}, {4, 35}, {4, 40}, {4, 44}, {4, 48}, {4, 53}, {4, 55}, {4, 63}, {4, 67}, {4, 68}, {4, 72}, {4, 73}, {4, 74}, {4, 81}, {5, 3}, {5, 6}, {5, 9}, {5, 14}, {5, 15}, {5, 16}, {5, 21}, {5, 33}, {5, 35}, {5, 36}, {5, 43}, {5, 46}, {5, 53}, {5, 54}, {5, 56}, {5, 68}, {5, 73}, {5, 74}, {5, 75}, {5, 80}, {5, 83}, {8, 3}, {8, 6}, {8, 9}, {8, 15}, {8, 19}, {8, 20}, {8, 25}, {8, 33}, {8, 35}, {8, 36}, {8, 44}, {8, 46}, {8, 48}, {8, 56}, {8, 57}, {8, 59}, {8, 67}, {8, 72}, {8, 73}, {8, 77}, {8, 83}, {10, 14}, {10, 19}, {10, 20}, {10, 21}, {10, 33}, {10, 35}, {10, 36}, {10, 40}, {10, 43}, {10, 46}, {10, 47}, {10, 48}, {10, 51}, {10, 54}, {10, 58}, {10, 59}, {10, 61}, {10, 73}, {10, 74}, {10, 75}, {10, 80}, {11, 3}, {11, 6}, {11, 9}, {11, 14}, {11, 15}, {11, 20}, {11, 21}, {11, 23}, {11, 36}, {11, 40}, {11, 44}, {11, 47}, {11, 48}, {11, 51}, {11, 55}, {11, 59}, {11, 72}, {11, 74}, {11, 75}, {11, 80}, {11, 81}, {12, 6}, {12, 7}, {12, 15}, {12, 16}, {12, 19}, {12, 21}, {12, 23}, {12, 33}, {12, 35}, {12, 40}, {12, 43}, {12, 48}, {12, 53}, {12, 56}, {12, 61}, {12, 63}, {12, 73}, {12, 75}, {12, 77}, {12, 80}, {12, 81}, {13, 7}, {13, 14}, {13, 16}, {13, 20}, {13, 23}, {13, 25}, {13, 36}, {13, 40}, {13, 43}, {13, 44}, {13, 46}, {13, 51}, {13, 53}, {13, 54}, {13, 57}, {13, 61}, {13, 72}, {13, 74}, {13, 77}, {13, 81}, {13, 83}, {17, 3}, {17, 9}, {17, 15}, {17, 20}, {17, 21}, {17, 33}, {17, 40}, {17, 43}, {17, 44}, {17, 46}, {17, 47}, {17, 48}, {17, 53}, {17, 54}, {17, 55}, {17, 57}, {17, 58}, {17, 61}, {17, 68}, {17, 80}, {17, 81}, {18, 3}, {18, 16}, {18, 19}, {18, 21}, {18, 25}, {18, 35}, {18, 43}, {18, 44}, {18, 46}, {18, 47}, {18, 48}, {18, 51}, {18, 54}, {18, 55}, {18, 56}, {18, 58}, {18, 59}, {18, 67}, {18, 77}, {18, 81}, {18, 83}, {22, 3}, {22, 7}, {22, 9}, {22, 14}, {22, 16}, {22, 20}, {22, 23}, {22, 25}, {22, 33}, {22, 43}, {22, 47}, {22, 48}, {22, 51}, {22, 53}, {22, 55}, {22, 58}, {22, 59}, {22, 63}, {22, 73}, {22, 81}, {22, 83}, {24, 6}, {24, 9}, {24, 16}, {24, 19}, {24, 25}, {24, 33}, {24, 35}, {24, 36}, {24, 40}, {24, 47}, {24, 51}, {24, 53}, {24, 54}, {24, 55}, {24, 57}, {24, 61}, {24, 68}, {24, 72}, {24, 73}, {24, 75}, {24, 83}, {26, 6}, {26, 7}, {26, 20}, {26, 21}, {26, 33}, {26, 35}, {26, 36}, {26, 43}, {26, 47}, {26, 51}, {26, 53}, {26, 54}, {26, 55}, {26, 56}, {26, 57}, {26, 59}, {26, 63}, {26, 67}, {26, 74}, {26, 75}, {26, 77}, {27, 3}, {27, 7}, {27, 9}, {27, 14}, {27, 19}, {27, 21}, {27, 25}, {27, 36}, {27, 43}, {27, 44}, {27, 48}, {27, 53}, {27, 54}, {27, 55}, {27, 56}, {27, 57}, {27, 58}, {27, 63}, {27, 67}, {27, 68}, {27, 75}, {28, 6}, {28, 9}, {28, 14}, {28, 15}, {28, 20}, {28, 23}, {28, 35}, {28, 40}, {28, 44}, {28, 51}, {28, 53}, {28, 54}, {28, 55}, {28, 56}, {28, 57}, {28, 58}, {28, 59}, {28, 61}, {28, 68}, {28, 72}, {28, 77}, {29, 7}, {29, 9}, {29, 14}, {29, 15}, {29, 16}, {29, 21}, {29, 23}, {29, 33}, {29, 36}, {29, 40}, {29, 46}, {29, 54}, {29, 55}, {29, 56}, {29, 57}, {29, 58}, {29, 59}, {29, 67}, {29, 73}, {29, 77}, {29, 80}, {30, 6}, {30, 15}, {30, 16}, {30, 25}, {30, 33}, {30, 40}, {30, 46}, {30, 47}, {30, 51}, {30, 53}, {30, 55}, {30, 56}, {30, 57}, {30, 58}, {30, 59}, {30, 61}, {30, 63}, {30, 67}, {30, 68}, {30, 74}, {30, 81}, {31, 7}, {31, 9}, {31, 16}, {31, 23}, {31, 25}, {31, 35}, {31, 40}, {31, 43}, {31, 47}, {31, 48}, {31, 54}, {31, 56}, {31, 57}, {31, 58}, {31, 59}, {31, 61}, {31, 67}, {31, 68}, {31, 72}, {31, 75}, {31, 80}, {32, 14}, {32, 19}, {32, 33}, {32, 35}, {32, 36}, {32, 43}, {32, 44}, {32, 48}, {32, 53}, {32, 55}, {32, 57}, {32, 58}, {32, 59}, {32, 61}, {32, 63}, {32, 68}, {32, 72}, {32, 73}, {32, 80}, {32, 81}, {32, 83}, {34, 14}, {34, 15}, {34, 16}, {34, 19}, {34, 20}, {34, 21}, {34, 35}, {34, 43}, {34, 44}, {34, 46}, {34, 51}, {34, 55}, {34, 57}, {34, 59}, {34, 61}, {34, 63}, {34, 67}, {34, 72}, {34, 74}, {34, 75}, {34, 83}, {37, 3}, {37, 15}, {37, 19}, {37, 23}, {37, 35}, {37, 40}, {37, 44}, {37, 46}, {37, 47}, {37, 48}, {37, 53}, {37, 54}, {37, 58}, {37, 63}, {37, 67}, {37, 68}, {37, 73}, {37, 74}, {37, 75}, {37, 77}, {37, 81}, {38, 3}, {38, 6}, {38, 14}, {38, 16}, {38, 19}, {38, 20}, {38, 23}, {38, 25}, {38, 33}, {38, 36}, {38, 47}, {38, 48}, {38, 54}, {38, 55}, {38, 59}, {38, 61}, {38, 63}, {38, 67}, {38, 68}, {38, 74}, {38, 75}, {39, 7}, {39, 15}, {39, 19}, {39, 20}, {39, 21}, {39, 25}, {39, 33}, {39, 40}, {39, 43}, {39, 46}, {39, 48}, {39, 51}, {39, 55}, {39, 56}, {39, 67}, {39, 68}, {39, 72}, {39, 75}, {39, 77}, {39, 80}, {39, 83}, {41, 6}, {41, 7}, {41, 9}, {41, 19}, {41, 21}, {41, 23}, {41, 33}, {41, 35}, {41, 36}, {41, 44}, {41, 48}, {41, 51}, {41, 53}, {41, 57}, {41, 58}, {41, 67}, {41, 68}, {41, 72}, {41, 74}, {41, 77}, {41, 81}, {42, 3}, {42, 7}, {42, 20}, {42, 23}, {42, 36}, {42, 40}, {42, 43}, {42, 46}, {42, 51}, {42, 53}, {42, 54}, {42, 58}, {42, 59}, {42, 63}, {42, 67}, {42, 68}, {42, 72}, {42, 73}, {42, 75}, {42, 80}, {42, 83}, {45, 3}, {45, 6}, {45, 21}, {45, 23}, {45, 25}, {45, 40}, {45, 43}, {45, 46}, {45, 48}, {45, 54}, {45, 55}, {45, 56}, {45, 57}, {45, 61}, {45, 68}, {45, 72}, {45, 73}, {45, 74}, {45, 75}, {45, 81}, {45, 83}, {49, 3}, {49, 6}, {49, 7}, {49, 14}, {49, 15}, {49, 25}, {49, 35}, {49, 36}, {49, 43}, {49, 44}, {49, 47}, {49, 53}, {49, 56}, {49, 58}, {49, 59}, {49, 61}, {49, 72}, {49, 74}, {49, 75}, {49, 77}, {49, 80}, {50, 3}, {50, 7}, {50, 15}, {50, 16}, {50, 35}, {50, 36}, {50, 44}, {50, 48}, {50, 51}, {50, 53}, {50, 54}, {50, 57}, {50, 59}, {50, 61}, {50, 67}, {50, 73}, {50, 75}, {50, 77}, {50, 80}, {50, 81}, {50, 83}, {52, 6}, {52, 7}, {52, 9}, {52, 20}, {52, 33}, {52, 44}, {52, 46}, {52, 47}, {52, 53}, {52, 55}, {52, 56}, {52, 59}, {52, 61}, {52, 63}, {52, 68}, {52, 73}, {52, 75}, {52, 77}, {52, 80}, {52, 81}, {52, 83}, {60, 3}, {60, 6}, {60, 7}, {60, 14}, {60, 15}, {60, 21}, {60, 25}, {60, 36}, {60, 40}, {60, 46}, {60, 47}, {60, 54}, {60, 55}, {60, 58}, {60, 61}, {60, 63}, {60, 67}, {60, 72}, {60, 77}, {60, 81}, {60, 83}, {62, 6}, {62, 7}, {62, 9}, {62, 15}, {62, 16}, {62, 19}, {62, 20}, {62, 23}, {62, 40}, {62, 43}, {62, 44}, {62, 47}, {62, 48}, {62, 54}, {62, 56}, {62, 57}, {62, 63}, {62, 72}, {62, 73}, {62, 74}, {62, 83}, {64, 6}, {64, 7}, {64, 9}, {64, 14}, {64, 19}, {64, 21}, {64, 25}, {64, 40}, {64, 44}, {64, 46}, {64, 51}, {64, 56}, {64, 58}, {64, 59}, {64, 67}, {64, 68}, {64, 73}, {64, 74}, {64, 75}, {64, 80}, {64, 81}, {65, 3}, {65, 7}, {65, 9}, {65, 15}, {65, 19}, {65, 20}, {65, 23}, {65, 33}, {65, 43}, {65, 46}, {65, 47}, {65, 51}, {65, 57}, {65, 59}, {65, 63}, {65, 68}, {65, 72}, {65, 74}, {65, 75}, {65, 77}, {65, 81}, {66, 6}, {66, 9}, {66, 14}, {66, 16}, {66, 19}, {66, 20}, {66, 21}, {66, 23}, {66, 44}, {66, 46}, {66, 47}, {66, 48}, {66, 51}, {66, 53}, {66, 58}, {66, 61}, {66, 67}, {66, 73}, {66, 75}, {66, 77}, {66, 83}, {69, 3}, {69, 7}, {69, 9}, {69, 14}, {69, 15}, {69, 16}, {69, 19}, {69, 23}, {69, 35}, {69, 47}, {69, 51}, {69, 54}, {69, 55}, {69, 56}, {69, 61}, {69, 63}, {69, 67}, {69, 72}, {69, 73}, {69, 80}, {69, 81}, {70, 3}, {70, 14}, {70, 15}, {70, 16}, {70, 20}, {70, 23}, {70, 25}, {70, 35}, {70, 36}, {70, 46}, {70, 48}, {70, 51}, {70, 55}, {70, 56}, {70, 57}, {70, 68}, {70, 73}, {70, 74}, {70, 77}, {70, 80}, {70, 81}, {71, 9}, {71, 14}, {71, 15}, {71, 16}, {71, 19}, {71, 21}, {71, 25}, {71, 36}, {71, 47}, {71, 51}, {71, 53}, {71, 56}, {71, 57}, {71, 58}, {71, 63}, {71, 72}, {71, 74}, {71, 75}, {71, 80}, {71, 81}, {71, 83}, {76, 3}, {76, 9}, {76, 14}, {76, 16}, {76, 19}, {76, 20}, {76, 21}, {76, 23}, {76, 33}, {76, 44}, {76, 54}, {76, 56}, {76, 57}, {76, 58}, {76, 61}, {76, 63}, {76, 68}, {76, 74}, {76, 77}, {76, 80}, {76, 83}, {78, 6}, {78, 7}, {78, 16}, {78, 20}, {78, 21}, {78, 23}, {78, 25}, {78, 33}, {78, 35}, {78, 36}, {78, 43}, {78, 44}, {78, 46}, {78, 54}, {78, 56}, {78, 58}, {78, 59}, {78, 63}, {78, 72}, {78, 73}, {78, 81}, {79, 3}, {79, 6}, {79, 7}, {79, 19}, {79, 21}, {79, 23}, {79, 25}, {79, 33}, {79, 36}, {79, 40}, {79, 44}, {79, 47}, {79, 55}, {79, 57}, {79, 59}, {79, 61}, {79, 73}, {79, 74}, {79, 77}, {79, 80}, {79, 83}, {82, 3}, {82, 6}, {82, 9}, {82, 15}, {82, 16}, {82, 20}, {82, 25}, {82, 35}, {82, 36}, {82, 40}, {82, 43}, {82, 47}, {82, 48}, {82, 58}, {82, 63}, {82, 67}, {82, 68}, {82, 74}, {82, 77}, {82, 80}, {82, 83}} -> (31 + (10*I)*Sqrt[83])/68921 +{{3, 2}, {3, 5}, {3, 8}, {3, 11}, {3, 17}, {3, 18}, {3, 22}, {3, 27}, {3, 37}, {3, 38}, {3, 42}, {3, 45}, {3, 49}, {3, 50}, {3, 60}, {3, 65}, {3, 69}, {3, 70}, {3, 76}, {3, 79}, {3, 82}, {6, 2}, {6, 5}, {6, 8}, {6, 11}, {6, 12}, {6, 24}, {6, 26}, {6, 28}, {6, 30}, {6, 38}, {6, 41}, {6, 45}, {6, 49}, {6, 52}, {6, 60}, {6, 62}, {6, 64}, {6, 66}, {6, 78}, {6, 79}, {6, 82}, {7, 4}, {7, 12}, {7, 13}, {7, 22}, {7, 26}, {7, 27}, {7, 29}, {7, 31}, {7, 39}, {7, 41}, {7, 42}, {7, 49}, {7, 50}, {7, 52}, {7, 60}, {7, 62}, {7, 64}, {7, 65}, {7, 69}, {7, 78}, {7, 79}, {9, 2}, {9, 5}, {9, 8}, {9, 11}, {9, 17}, {9, 22}, {9, 24}, {9, 27}, {9, 28}, {9, 29}, {9, 31}, {9, 41}, {9, 52}, {9, 62}, {9, 64}, {9, 65}, {9, 66}, {9, 69}, {9, 71}, {9, 76}, {9, 82}, {14, 2}, {14, 4}, {14, 5}, {14, 10}, {14, 11}, {14, 13}, {14, 22}, {14, 27}, {14, 28}, {14, 29}, {14, 32}, {14, 34}, {14, 38}, {14, 49}, {14, 60}, {14, 64}, {14, 66}, {14, 69}, {14, 70}, {14, 71}, {14, 76}, {15, 4}, {15, 5}, {15, 8}, {15, 11}, {15, 12}, {15, 17}, {15, 28}, {15, 29}, {15, 30}, {15, 34}, {15, 37}, {15, 39}, {15, 49}, {15, 50}, {15, 60}, {15, 62}, {15, 65}, {15, 69}, {15, 70}, {15, 71}, {15, 82}, {16, 4}, {16, 5}, {16, 12}, {16, 13}, {16, 18}, {16, 22}, {16, 24}, {16, 29}, {16, 30}, {16, 31}, {16, 34}, {16, 38}, {16, 50}, {16, 62}, {16, 66}, {16, 69}, {16, 70}, {16, 71}, {16, 76}, {16, 78}, {16, 82}, {19, 2}, {19, 8}, {19, 10}, {19, 12}, {19, 18}, {19, 24}, {19, 27}, {19, 32}, {19, 34}, {19, 37}, {19, 38}, {19, 39}, {19, 41}, {19, 62}, {19, 64}, {19, 65}, {19, 66}, {19, 69}, {19, 71}, {19, 76}, {19, 79}, {20, 4}, {20, 8}, {20, 10}, {20, 11}, {20, 13}, {20, 17}, {20, 22}, {20, 26}, {20, 28}, {20, 34}, {20, 38}, {20, 39}, {20, 42}, {20, 52}, {20, 62}, {20, 65}, {20, 66}, {20, 70}, {20, 76}, {20, 78}, {20, 82}, {21, 4}, {21, 5}, {21, 10}, {21, 11}, {21, 12}, {21, 17}, {21, 18}, {21, 26}, {21, 27}, {21, 29}, {21, 34}, {21, 39}, {21, 41}, {21, 45}, {21, 60}, {21, 64}, {21, 66}, {21, 71}, {21, 76}, {21, 78}, {21, 79}, {23, 2}, {23, 11}, {23, 12}, {23, 13}, {23, 22}, {23, 28}, {23, 29}, {23, 31}, {23, 37}, {23, 38}, {23, 41}, {23, 42}, {23, 45}, {23, 62}, {23, 65}, {23, 66}, {23, 69}, {23, 70}, {23, 76}, {23, 78}, {23, 79}, {25, 2}, {25, 4}, {25, 8}, {25, 13}, {25, 18}, {25, 22}, {25, 24}, {25, 27}, {25, 30}, {25, 31}, {25, 38}, {25, 39}, {25, 45}, {25, 49}, {25, 60}, {25, 64}, {25, 70}, {25, 71}, {25, 78}, {25, 79}, {25, 82}, {33, 2}, {33, 4}, {33, 5}, {33, 8}, {33, 10}, {33, 12}, {33, 17}, {33, 22}, {33, 24}, {33, 26}, {33, 29}, {33, 30}, {33, 32}, {33, 38}, {33, 39}, {33, 41}, {33, 52}, {33, 65}, {33, 76}, {33, 78}, {33, 79}, {35, 2}, {35, 4}, {35, 5}, {35, 8}, {35, 10}, {35, 12}, {35, 18}, {35, 24}, {35, 26}, {35, 28}, {35, 31}, {35, 32}, {35, 34}, {35, 37}, {35, 41}, {35, 49}, {35, 50}, {35, 69}, {35, 70}, {35, 78}, {35, 82}, {36, 5}, {36, 8}, {36, 10}, {36, 11}, {36, 13}, {36, 24}, {36, 26}, {36, 27}, {36, 29}, {36, 32}, {36, 38}, {36, 41}, {36, 42}, {36, 49}, {36, 50}, {36, 60}, {36, 70}, {36, 71}, {36, 78}, {36, 79}, {36, 82}, {40, 2}, {40, 4}, {40, 10}, {40, 11}, {40, 12}, {40, 13}, 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55}, {81, 56}, {81, 58}, {81, 62}, {81, 66}, {81, 72}, {81, 74}, {81, 76}, {81, 77}, {81, 79}, {81, 80}, {81, 82}, {81, 83}, {82, 4}, {82, 5}, {82, 12}, {82, 13}, {82, 17}, {82, 18}, {82, 31}, {82, 34}, {82, 38}, {82, 41}, {82, 42}, {82, 45}, {82, 49}, {82, 52}, {82, 65}, {82, 66}, {82, 70}, {82, 71}, {82, 78}, {82, 79}, {83, 4}, {83, 6}, {83, 10}, {83, 11}, {83, 12}, {83, 14}, {83, 15}, {83, 17}, {83, 19}, {83, 20}, {83, 26}, {83, 27}, {83, 28}, {83, 29}, {83, 30}, {83, 31}, {83, 35}, {83, 37}, {83, 38}, {83, 41}, {83, 43}, {83, 46}, {83, 47}, {83, 49}, {83, 53}, {83, 54}, {83, 55}, {83, 56}, {83, 57}, {83, 58}, {83, 64}, {83, 65}, {83, 67}, {83, 69}, {83, 70}, {83, 72}, {83, 73}, {83, 74}, {83, 78}, {83, 80}} -> ((-21*I)/137842)*(-I + Sqrt[83]) diff --git a/etf_51x103_6a.exa b/etf_51x103_6a.exa new file mode 100644 index 0000000..f087ad6 --- /dev/null +++ b/etf_51x103_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}} -> 26/2601 +{{2, 4}, {2, 6}, {2, 11}, {2, 21}, {2, 25}, {2, 28}, {2, 32}, {2, 36}, {2, 38}, {2, 40}, {2, 43}, {2, 48}, {2, 52}, {2, 54}, {2, 58}, {2, 63}, {2, 66}, {2, 68}, {2, 70}, {2, 74}, {2, 78}, {2, 81}, {2, 85}, {2, 95}, {2, 100}, {2, 102}, {3, 4}, {3, 7}, {3, 11}, {3, 12}, {3, 21}, {3, 22}, {3, 28}, {3, 32}, {3, 36}, {3, 41}, {3, 44}, {3, 49}, {3, 52}, {3, 55}, {3, 58}, {3, 63}, {3, 66}, {3, 71}, {3, 75}, {3, 79}, {3, 85}, {3, 86}, {3, 95}, {3, 96}, {3, 100}, {3, 103}, {5, 6}, {5, 7}, {5, 12}, {5, 13}, {5, 21}, {5, 22}, {5, 23}, {5, 28}, {5, 38}, {5, 41}, {5, 43}, {5, 46}, {5, 54}, {5, 55}, {5, 63}, {5, 66}, {5, 68}, {5, 71}, {5, 81}, {5, 86}, {5, 87}, {5, 88}, {5, 96}, {5, 97}, {5, 102}, {5, 103}, {8, 12}, {8, 21}, {8, 22}, {8, 23}, {8, 25}, {8, 36}, {8, 38}, {8, 40}, {8, 41}, {8, 44}, {8, 46}, {8, 49}, {8, 54}, {8, 58}, {8, 63}, {8, 66}, {8, 68}, {8, 71}, {8, 72}, {8, 74}, {8, 76}, {8, 87}, {8, 89}, {8, 90}, {8, 91}, {8, 100}, {9, 4}, {9, 6}, {9, 11}, {9, 13}, {9, 22}, {9, 23}, {9, 25}, {9, 28}, {9, 32}, {9, 38}, {9, 41}, {9, 43}, {9, 45}, {9, 55}, {9, 58}, {9, 68}, {9, 70}, {9, 72}, {9, 75}, {9, 81}, {9, 85}, {9, 88}, {9, 90}, {9, 91}, {9, 100}, {9, 102}, {10, 4}, {10, 7}, {10, 11}, {10, 12}, {10, 23}, {10, 25}, {10, 28}, {10, 36}, {10, 38}, {10, 40}, {10, 43}, {10, 44}, {10, 46}, {10, 48}, {10, 66}, {10, 68}, {10, 70}, {10, 71}, {10, 74}, {10, 76}, {10, 78}, {10, 86}, {10, 89}, {10, 91}, {10, 102}, {10, 103}, {14, 4}, {14, 11}, {14, 21}, {14, 22}, {14, 23}, {14, 28}, {14, 32}, {14, 40}, {14, 43}, {14, 44}, {14, 46}, {14, 48}, {14, 52}, {14, 55}, {14, 63}, {14, 66}, {14, 70}, {14, 72}, {14, 74}, {14, 75}, {14, 78}, {14, 86}, {14, 90}, {14, 95}, {14, 96}, {14, 97}, {15, 4}, {15, 12}, {15, 22}, {15, 23}, {15, 28}, {15, 32}, {15, 38}, {15, 40}, {15, 41}, {15, 43}, {15, 44}, {15, 45}, {15, 48}, {15, 49}, {15, 70}, {15, 71}, {15, 74}, {15, 75}, {15, 76}, {15, 78}, {15, 79}, {15, 81}, {15, 87}, {15, 91}, {15, 96}, {15, 97}, {16, 4}, {16, 6}, {16, 11}, {16, 13}, {16, 23}, {16, 25}, {16, 32}, {16, 41}, {16, 44}, {16, 45}, {16, 46}, {16, 48}, {16, 49}, {16, 52}, {16, 54}, {16, 66}, {16, 68}, {16, 71}, {16, 72}, {16, 74}, {16, 75}, {16, 76}, {16, 79}, {16, 88}, {16, 95}, {16, 97}, {17, 6}, {17, 7}, {17, 11}, {17, 12}, {17, 21}, {17, 25}, {17, 32}, {17, 36}, {17, 40}, {17, 43}, {17, 45}, {17, 46}, {17, 49}, {17, 55}, {17, 58}, {17, 63}, {17, 66}, {17, 72}, {17, 75}, {17, 76}, {17, 78}, {17, 81}, {17, 85}, {17, 89}, {17, 96}, {17, 100}, {18, 6}, {18, 7}, {18, 12}, {18, 13}, {18, 22}, {18, 25}, {18, 32}, {18, 36}, {18, 41}, {18, 43}, {18, 44}, {18, 46}, {18, 48}, {18, 52}, {18, 54}, {18, 68}, {18, 70}, {18, 74}, {18, 76}, {18, 78}, {18, 79}, {18, 81}, {18, 86}, {18, 90}, {18, 97}, {18, 100}, {19, 7}, {19, 13}, {19, 21}, {19, 23}, {19, 28}, {19, 32}, {19, 36}, {19, 38}, {19, 44}, {19, 45}, {19, 48}, {19, 49}, {19, 52}, {19, 55}, {19, 68}, {19, 71}, {19, 74}, {19, 75}, {19, 78}, {19, 79}, {19, 85}, {19, 87}, {19, 91}, {19, 95}, {19, 100}, {19, 102}, {20, 21}, {20, 22}, {20, 28}, {20, 36}, {20, 38}, {20, 43}, {20, 45}, {20, 46}, {20, 48}, {20, 49}, {20, 52}, {20, 54}, {20, 58}, {20, 66}, {20, 70}, {20, 72}, {20, 75}, {20, 76}, {20, 78}, {20, 79}, {20, 81}, {20, 86}, {20, 88}, {20, 96}, {20, 102}, {20, 103}, {24, 4}, {24, 12}, {24, 13}, {24, 21}, {24, 25}, {24, 28}, {24, 32}, {24, 38}, {24, 40}, {24, 41}, {24, 43}, {24, 49}, {24, 52}, {24, 54}, {24, 58}, {24, 70}, {24, 74}, {24, 76}, {24, 79}, {24, 85}, {24, 87}, {24, 88}, {24, 90}, {24, 96}, {24, 100}, {24, 103}, {26, 4}, {26, 6}, {26, 21}, {26, 23}, {26, 28}, {26, 40}, {26, 41}, {26, 43}, {26, 44}, {26, 45}, {26, 49}, {26, 52}, {26, 54}, {26, 55}, {26, 58}, {26, 72}, {26, 75}, {26, 76}, {26, 78}, {26, 81}, {26, 85}, {26, 86}, {26, 87}, {26, 89}, {26, 90}, {26, 102}, {27, 6}, {27, 7}, {27, 21}, {27, 22}, {27, 28}, {27, 36}, {27, 40}, {27, 41}, {27, 43}, {27, 44}, {27, 45}, {27, 46}, {27, 52}, {27, 55}, {27, 63}, {27, 68}, {27, 76}, {27, 79}, {27, 85}, {27, 86}, {27, 87}, {27, 88}, {27, 90}, {27, 91}, {27, 95}, {27, 103}, {29, 7}, {29, 23}, {29, 36}, {29, 38}, {29, 43}, {29, 44}, {29, 45}, {29, 46}, {29, 48}, {29, 52}, {29, 54}, {29, 55}, {29, 58}, {29, 63}, {29, 70}, {29, 75}, {29, 78}, {29, 79}, {29, 81}, {29, 85}, {29, 87}, {29, 88}, {29, 89}, {29, 90}, {29, 95}, {29, 97}, {30, 6}, {30, 25}, {30, 32}, {30, 38}, {30, 43}, {30, 44}, {30, 45}, {30, 46}, {30, 48}, {30, 49}, {30, 55}, {30, 58}, {30, 63}, {30, 66}, {30, 68}, {30, 71}, {30, 76}, {30, 79}, {30, 85}, {30, 86}, {30, 88}, {30, 89}, {30, 90}, {30, 91}, {30, 96}, {30, 102}, {31, 4}, {31, 7}, {31, 11}, {31, 21}, {31, 25}, {31, 28}, {31, 32}, {31, 38}, {31, 40}, {31, 44}, {31, 45}, {31, 46}, {31, 48}, {31, 49}, {31, 54}, {31, 63}, {31, 72}, {31, 81}, {31, 86}, {31, 87}, {31, 89}, {31, 90}, {31, 91}, {31, 95}, {31, 97}, {31, 103}, {33, 6}, {33, 11}, {33, 12}, {33, 13}, {33, 21}, {33, 22}, {33, 23}, {33, 28}, {33, 40}, {33, 41}, {33, 46}, {33, 48}, {33, 49}, {33, 52}, {33, 58}, {33, 63}, {33, 66}, {33, 71}, {33, 74}, {33, 79}, {33, 85}, {33, 88}, {33, 89}, {33, 91}, {33, 96}, {33, 97}, {34, 7}, {34, 12}, {34, 13}, {34, 22}, {34, 23}, {34, 28}, {34, 36}, {34, 38}, {34, 41}, {34, 43}, {34, 48}, {34, 49}, {34, 52}, {34, 63}, {34, 66}, {34, 68}, {34, 70}, {34, 72}, {34, 75}, {34, 86}, {34, 89}, {34, 90}, {34, 95}, {34, 97}, {34, 100}, {34, 102}, {35, 4}, {35, 11}, {35, 13}, {35, 23}, {35, 25}, {35, 32}, {35, 36}, {35, 43}, {35, 44}, {35, 48}, {35, 49}, {35, 52}, {35, 54}, {35, 58}, {35, 63}, {35, 68}, {35, 71}, {35, 76}, {35, 81}, {35, 85}, {35, 87}, {35, 90}, {35, 91}, {35, 95}, {35, 96}, {35, 103}, {37, 6}, {37, 13}, {37, 25}, {37, 32}, {37, 38}, {37, 41}, {37, 44}, {37, 45}, {37, 46}, {37, 52}, {37, 54}, {37, 55}, {37, 63}, {37, 66}, {37, 70}, {37, 71}, {37, 75}, {37, 78}, {37, 86}, {37, 87}, {37, 89}, {37, 95}, {37, 96}, {37, 97}, {37, 100}, {37, 103}, {39, 4}, {39, 12}, {39, 28}, {39, 36}, {39, 40}, {39, 41}, {39, 43}, {39, 46}, {39, 48}, {39, 52}, {39, 54}, {39, 55}, {39, 58}, {39, 68}, {39, 71}, {39, 72}, {39, 75}, {39, 85}, {39, 88}, {39, 89}, {39, 91}, {39, 95}, {39, 97}, {39, 100}, {39, 102}, {39, 103}, {42, 7}, {42, 11}, {42, 21}, {42, 22}, {42, 32}, {42, 36}, {42, 43}, {42, 44}, {42, 46}, {42, 49}, {42, 55}, {42, 58}, {42, 68}, {42, 70}, {42, 71}, {42, 72}, {42, 74}, {42, 75}, {42, 76}, {42, 78}, {42, 88}, {42, 91}, {42, 97}, {42, 100}, {42, 102}, {42, 103}, {47, 4}, {47, 7}, {47, 12}, {47, 23}, {47, 25}, {47, 36}, {47, 41}, {47, 44}, {47, 48}, {47, 49}, {47, 54}, {47, 55}, {47, 63}, {47, 66}, {47, 70}, {47, 72}, {47, 75}, {47, 76}, {47, 79}, {47, 81}, {47, 85}, {47, 88}, {47, 96}, {47, 97}, {47, 102}, {47, 103}, {50, 6}, {50, 7}, {50, 11}, {50, 13}, {50, 23}, {50, 28}, {50, 38}, {50, 40}, {50, 44}, {50, 45}, {50, 52}, {50, 54}, {50, 58}, {50, 63}, {50, 66}, {50, 68}, {50, 75}, {50, 76}, {50, 78}, {50, 79}, {50, 86}, {50, 88}, {50, 91}, {50, 96}, {50, 100}, {50, 102}, {51, 4}, {51, 6}, {51, 7}, {51, 11}, {51, 12}, {51, 40}, {51, 41}, {51, 45}, {51, 46}, {51, 48}, {51, 52}, {51, 55}, {51, 58}, {51, 66}, {51, 68}, {51, 70}, {51, 74}, {51, 76}, {51, 79}, {51, 81}, {51, 85}, {51, 87}, {51, 89}, {51, 97}, {51, 100}, {51, 103}, {53, 6}, {53, 11}, {53, 13}, {53, 22}, {53, 32}, {53, 41}, {53, 43}, {53, 48}, {53, 54}, {53, 55}, {53, 66}, {53, 68}, {53, 70}, {53, 71}, {53, 72}, {53, 76}, {53, 78}, {53, 79}, {53, 81}, {53, 85}, {53, 86}, {53, 87}, {53, 89}, {53, 91}, {53, 102}, {53, 103}, {56, 11}, {56, 12}, {56, 13}, {56, 21}, {56, 25}, {56, 32}, {56, 36}, {56, 44}, {56, 45}, {56, 46}, {56, 58}, {56, 63}, {56, 70}, {56, 71}, {56, 72}, {56, 74}, {56, 75}, {56, 79}, {56, 81}, {56, 85}, {56, 86}, {56, 88}, {56, 89}, {56, 90}, {56, 97}, {56, 102}, {57, 4}, {57, 6}, {57, 12}, {57, 13}, {57, 22}, {57, 36}, {57, 45}, {57, 46}, {57, 52}, {57, 54}, {57, 58}, {57, 66}, {57, 70}, {57, 71}, {57, 72}, {57, 74}, {57, 75}, {57, 76}, {57, 85}, {57, 86}, {57, 87}, {57, 89}, {57, 90}, {57, 91}, {57, 95}, {57, 103}, {59, 6}, {59, 11}, {59, 12}, {59, 22}, {59, 28}, {59, 32}, {59, 38}, {59, 48}, {59, 49}, {59, 54}, {59, 63}, {59, 66}, {59, 68}, {59, 72}, {59, 74}, {59, 75}, {59, 76}, {59, 78}, {59, 85}, {59, 87}, {59, 88}, {59, 89}, {59, 91}, {59, 95}, {59, 97}, {59, 100}, {60, 6}, {60, 7}, {60, 12}, {60, 13}, {60, 21}, {60, 23}, {60, 25}, {60, 36}, {60, 38}, {60, 40}, {60, 48}, {60, 49}, {60, 54}, {60, 55}, {60, 68}, {60, 74}, {60, 75}, {60, 76}, {60, 78}, {60, 79}, {60, 85}, {60, 86}, {60, 88}, {60, 89}, {60, 90}, {60, 96}, {61, 4}, {61, 7}, {61, 13}, {61, 21}, {61, 22}, {61, 40}, {61, 41}, {61, 49}, {61, 55}, {61, 58}, {61, 63}, {61, 68}, {61, 70}, {61, 74}, {61, 75}, {61, 76}, {61, 78}, {61, 79}, {61, 86}, {61, 87}, {61, 89}, {61, 90}, {61, 91}, {61, 95}, {61, 97}, {61, 102}, {62, 11}, {62, 22}, {62, 23}, {62, 25}, {62, 38}, {62, 40}, {62, 41}, {62, 52}, {62, 63}, {62, 66}, {62, 70}, {62, 71}, {62, 75}, {62, 76}, {62, 78}, {62, 79}, {62, 81}, {62, 85}, {62, 87}, {62, 88}, {62, 90}, {62, 91}, {62, 95}, {62, 96}, {62, 100}, {62, 103}, {64, 7}, {64, 11}, {64, 13}, {64, 21}, {64, 22}, {64, 25}, {64, 40}, {64, 43}, {64, 44}, {64, 52}, {64, 54}, {64, 58}, {64, 66}, {64, 68}, {64, 71}, {64, 72}, {64, 78}, {64, 79}, {64, 81}, {64, 87}, {64, 89}, {64, 90}, {64, 96}, {64, 97}, {64, 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{86, 94}, {86, 96}, {86, 97}, {86, 99}, {86, 101}, {87, 2}, {87, 3}, {87, 4}, {87, 6}, {87, 9}, {87, 10}, {87, 11}, {87, 14}, {87, 16}, {87, 17}, {87, 18}, {87, 20}, {87, 21}, {87, 23}, {87, 28}, {87, 30}, {87, 32}, {87, 33}, {87, 34}, {87, 38}, {87, 39}, {87, 41}, {87, 42}, {87, 46}, {87, 47}, {87, 49}, {87, 50}, {87, 54}, {87, 55}, {87, 56}, {87, 58}, {87, 60}, {87, 65}, {87, 67}, {87, 68}, {87, 70}, {87, 71}, {87, 72}, {87, 74}, {87, 77}, {87, 78}, {87, 79}, {87, 82}, {87, 84}, {87, 85}, {87, 86}, {87, 90}, {87, 94}, {87, 97}, {87, 101}, {88, 2}, {88, 3}, {88, 6}, {88, 7}, {88, 8}, {88, 10}, {88, 12}, {88, 14}, {88, 15}, {88, 17}, {88, 18}, {88, 19}, {88, 22}, {88, 25}, {88, 26}, {88, 28}, {88, 31}, {88, 32}, {88, 34}, {88, 35}, {88, 36}, {88, 37}, {88, 38}, {88, 51}, {88, 52}, {88, 53}, {88, 54}, {88, 55}, {88, 57}, {88, 58}, {88, 61}, {88, 63}, {88, 64}, {88, 67}, {88, 70}, {88, 71}, {88, 72}, {88, 74}, {88, 75}, {88, 77}, {88, 79}, {88, 81}, {88, 82}, {88, 83}, {88, 86}, {88, 87}, {88, 91}, {88, 92}, {88, 100}, {88, 101}, {89, 2}, {89, 3}, {89, 5}, {89, 6}, {89, 7}, {89, 9}, {89, 13}, {89, 14}, {89, 15}, {89, 16}, {89, 18}, {89, 19}, {89, 20}, {89, 21}, {89, 23}, {89, 24}, {89, 25}, {89, 27}, {89, 28}, {89, 35}, {89, 40}, {89, 42}, {89, 43}, {89, 47}, {89, 48}, {89, 50}, {89, 55}, {89, 62}, {89, 63}, {89, 65}, {89, 66}, {89, 67}, {89, 69}, {89, 70}, {89, 71}, {89, 72}, {89, 74}, {89, 75}, {89, 76}, {89, 77}, {89, 81}, {89, 83}, {89, 84}, {89, 85}, {89, 87}, {89, 88}, {89, 93}, {89, 95}, {89, 98}, {89, 100}, {90, 2}, {90, 3}, {90, 5}, {90, 7}, {90, 10}, {90, 11}, {90, 15}, {90, 16}, {90, 17}, {90, 19}, {90, 20}, {90, 22}, {90, 32}, {90, 33}, {90, 37}, {90, 38}, {90, 39}, {90, 40}, {90, 41}, {90, 42}, {90, 44}, {90, 47}, {90, 49}, {90, 50}, {90, 51}, {90, 52}, {90, 53}, {90, 54}, {90, 58}, {90, 59}, {90, 69}, {90, 71}, {90, 72}, {90, 74}, {90, 75}, {90, 76}, {90, 80}, {90, 81}, {90, 84}, {90, 86}, {90, 88}, {90, 89}, {90, 92}, {90, 94}, {90, 95}, {90, 96}, {90, 98}, {90, 99}, {90, 100}, {90, 102}, {91, 2}, {91, 3}, {91, 5}, {91, 12}, {91, 14}, {91, 16}, {91, 17}, {91, 18}, {91, 20}, {91, 23}, {91, 24}, {91, 25}, {91, 26}, {91, 28}, {91, 29}, {91, 32}, {91, 34}, {91, 36}, {91, 37}, {91, 41}, {91, 45}, {91, 47}, {91, 51}, {91, 55}, {91, 56}, {91, 58}, {91, 60}, {91, 63}, {91, 64}, {91, 66}, {91, 67}, {91, 68}, {91, 69}, {91, 72}, {91, 74}, {91, 75}, {91, 76}, {91, 78}, {91, 80}, {91, 87}, {91, 89}, {91, 90}, {91, 92}, {91, 93}, {91, 96}, {91, 97}, {91, 98}, {91, 99}, {91, 102}, {91, 103}, {92, 9}, {92, 10}, {92, 16}, {92, 20}, {92, 24}, {92, 26}, {92, 29}, {92, 31}, {92, 33}, {92, 34}, {92, 37}, {92, 42}, {92, 51}, {92, 56}, {92, 59}, {92, 60}, {92, 62}, {92, 64}, {92, 67}, {92, 69}, {92, 73}, {92, 77}, {92, 83}, {92, 84}, {92, 98}, {93, 2}, {93, 10}, {93, 14}, {93, 17}, {93, 27}, {93, 29}, {93, 30}, {93, 33}, {93, 34}, {93, 35}, {93, 37}, {93, 47}, {93, 57}, {93, 59}, {93, 60}, {93, 61}, {93, 64}, {93, 65}, {93, 67}, {93, 77}, {93, 80}, {93, 84}, {93, 92}, {93, 98}, {93, 99}, {94, 2}, {94, 3}, {94, 15}, {94, 18}, {94, 26}, {94, 30}, {94, 31}, {94, 33}, {94, 34}, {94, 35}, {94, 39}, {94, 42}, {94, 53}, {94, 56}, {94, 60}, {94, 61}, {94, 62}, {94, 64}, {94, 65}, {94, 69}, {94, 77}, {94, 80}, {94, 92}, {94, 93}, {94, 99}, {95, 4}, {95, 5}, {95, 8}, {95, 9}, {95, 10}, {95, 12}, {95, 13}, {95, 15}, {95, 17}, {95, 18}, {95, 20}, {95, 23}, {95, 24}, {95, 26}, {95, 30}, {95, 32}, {95, 33}, {95, 36}, {95, 40}, {95, 42}, {95, 43}, {95, 45}, {95, 46}, {95, 47}, {95, 49}, {95, 50}, {95, 51}, {95, 53}, {95, 54}, {95, 56}, {95, 60}, {95, 63}, {95, 64}, {95, 66}, {95, 70}, {95, 72}, {95, 73}, {95, 76}, {95, 78}, {95, 79}, {95, 81}, {95, 83}, {95, 84}, {95, 86}, {95, 87}, {95, 88}, {95, 91}, {95, 92}, {95, 99}, {95, 100}, {96, 2}, {96, 4}, {96, 8}, {96, 9}, {96, 10}, {96, 13}, {96, 16}, {96, 18}, {96, 19}, {96, 26}, {96, 27}, {96, 28}, {96, 29}, {96, 31}, {96, 32}, {96, 34}, {96, 36}, {96, 38}, {96, 39}, {96, 40}, {96, 41}, {96, 42}, {96, 44}, {96, 46}, {96, 51}, {96, 53}, {96, 55}, {96, 56}, {96, 57}, {96, 58}, {96, 59}, {96, 61}, {96, 63}, {96, 65}, {96, 66}, {96, 68}, {96, 69}, {96, 70}, {96, 71}, {96, 78}, {96, 79}, {96, 81}, {96, 84}, {96, 87}, {96, 88}, {96, 89}, {96, 93}, {96, 95}, {96, 98}, {96, 102}, {97, 2}, {97, 3}, {97, 4}, {97, 6}, {97, 8}, {97, 9}, {97, 10}, {97, 17}, {97, 19}, {97, 20}, {97, 21}, {97, 24}, {97, 25}, {97, 26}, {97, 27}, {97, 30}, {97, 35}, {97, 36}, {97, 38}, {97, 41}, {97, 45}, {97, 48}, {97, 50}, {97, 53}, {97, 57}, {97, 60}, {97, 62}, {97, 63}, {97, 68}, {97, 71}, {97, 72}, {97, 73}, {97, 74}, {97, 77}, {97, 78}, {97, 79}, {97, 81}, {97, 88}, {97, 89}, {97, 90}, {97, 92}, {97, 94}, {97, 95}, {97, 96}, {97, 98}, {97, 99}, {97, 100}, {97, 101}, {97, 102}, {97, 103}, {98, 5}, {98, 15}, {98, 16}, {98, 17}, {98, 19}, {98, 26}, {98, 30}, {98, 34}, {98, 35}, {98, 37}, {98, 39}, {98, 42}, {98, 57}, {98, 60}, {98, 62}, {98, 64}, {98, 65}, {98, 69}, {98, 73}, {98, 80}, {98, 82}, {98, 83}, {98, 84}, {98, 94}, {98, 101}, {99, 2}, {99, 8}, {99, 16}, {99, 17}, {99, 18}, {99, 20}, {99, 27}, {99, 31}, {99, 33}, {99, 35}, {99, 39}, {99, 47}, {99, 50}, {99, 53}, {99, 61}, {99, 65}, {99, 67}, {99, 69}, {99, 73}, {99, 80}, {99, 82}, {99, 83}, {99, 84}, {99, 92}, {99, 98}, {100, 5}, {100, 7}, {100, 10}, {100, 14}, {100, 15}, {100, 16}, {100, 20}, {100, 21}, {100, 26}, {100, 27}, {100, 28}, {100, 29}, {100, 30}, {100, 31}, {100, 32}, {100, 33}, {100, 35}, {100, 36}, {100, 40}, {100, 41}, {100, 44}, {100, 45}, {100, 47}, {100, 48}, {100, 53}, {100, 54}, {100, 56}, {100, 57}, {100, 60}, {100, 61}, {100, 65}, {100, 66}, {100, 68}, {100, 69}, {100, 70}, {100, 71}, {100, 72}, {100, 73}, {100, 74}, {100, 75}, {100, 80}, {100, 81}, {100, 85}, {100, 86}, {100, 87}, {100, 91}, {100, 94}, {100, 96}, {100, 101}, {100, 103}, {101, 3}, {101, 8}, {101, 9}, {101, 10}, {101, 18}, {101, 19}, {101, 20}, {101, 29}, {101, 33}, {101, 35}, {101, 37}, {101, 42}, {101, 51}, {101, 60}, {101, 65}, {101, 67}, {101, 69}, {101, 73}, {101, 82}, {101, 83}, {101, 84}, {101, 92}, {101, 93}, {101, 94}, {101, 99}, {102, 3}, {102, 4}, {102, 8}, {102, 11}, {102, 14}, {102, 15}, {102, 16}, {102, 17}, {102, 18}, {102, 21}, {102, 23}, {102, 24}, {102, 27}, {102, 29}, {102, 31}, {102, 33}, {102, 35}, {102, 36}, {102, 37}, {102, 38}, {102, 41}, {102, 43}, {102, 44}, {102, 46}, {102, 51}, {102, 52}, {102, 57}, {102, 59}, {102, 60}, {102, 62}, {102, 65}, {102, 66}, {102, 67}, {102, 68}, {102, 70}, {102, 72}, {102, 74}, {102, 76}, {102, 79}, {102, 80}, {102, 82}, {102, 85}, {102, 86}, {102, 87}, {102, 88}, {102, 89}, {102, 92}, {102, 95}, {102, 99}, {102, 100}, {103, 2}, {103, 6}, {103, 8}, {103, 9}, {103, 11}, {103, 12}, {103, 14}, {103, 15}, {103, 16}, {103, 17}, {103, 18}, {103, 19}, {103, 21}, {103, 22}, {103, 26}, {103, 29}, {103, 30}, {103, 33}, {103, 34}, {103, 40}, {103, 43}, {103, 44}, {103, 45}, {103, 48}, {103, 50}, {103, 54}, {103, 56}, {103, 59}, {103, 60}, {103, 61}, {103, 64}, {103, 70}, {103, 71}, {103, 74}, {103, 75}, {103, 78}, {103, 82}, {103, 83}, {103, 85}, {103, 86}, {103, 87}, {103, 88}, {103, 89}, {103, 90}, {103, 92}, {103, 93}, {103, 95}, {103, 96}, {103, 98}, {103, 102}} -> ((-13*I)/132651)*(-I + Sqrt[103]) diff --git a/etf_53x107_6a.exa b/etf_53x107_6a.exa new file mode 100644 index 0000000..dec9e39 --- /dev/null +++ b/etf_53x107_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}} -> 27/2809 +{{2, 3}, {2, 6}, {2, 16}, {2, 18}, {2, 21}, {2, 25}, {2, 27}, {2, 29}, {2, 32}, {2, 39}, {2, 44}, {2, 46}, {2, 51}, {2, 55}, {2, 59}, {2, 64}, {2, 66}, {2, 71}, {2, 78}, {2, 81}, {2, 83}, {2, 85}, {2, 89}, {2, 92}, {2, 94}, {2, 104}, {2, 107}, {4, 7}, {4, 8}, {4, 16}, {4, 18}, {4, 23}, {4, 27}, {4, 29}, {4, 33}, {4, 39}, {4, 44}, {4, 46}, {4, 51}, {4, 52}, {4, 56}, {4, 60}, {4, 61}, {4, 66}, {4, 68}, {4, 73}, {4, 79}, {4, 83}, {4, 85}, {4, 89}, {4, 94}, {4, 96}, {4, 104}, {4, 105}, {5, 3}, {5, 6}, {5, 8}, {5, 9}, {5, 16}, {5, 18}, {5, 19}, {5, 21}, {5, 32}, {5, 39}, {5, 44}, {5, 46}, {5, 47}, {5, 52}, {5, 61}, {5, 66}, {5, 67}, {5, 69}, {5, 74}, {5, 81}, {5, 92}, {5, 94}, {5, 95}, {5, 97}, {5, 104}, {5, 105}, {5, 107}, {10, 3}, {10, 8}, {10, 19}, {10, 21}, {10, 22}, {10, 23}, {10, 29}, {10, 33}, {10, 39}, {10, 44}, {10, 46}, {10, 47}, {10, 51}, {10, 52}, {10, 59}, {10, 66}, {10, 67}, {10, 71}, {10, 72}, {10, 74}, {10, 79}, {10, 85}, {10, 89}, {10, 95}, {10, 96}, {10, 97}, {10, 99}, {11, 3}, {11, 6}, {11, 9}, {11, 21}, {11, 22}, {11, 23}, {11, 25}, {11, 27}, {11, 44}, {11, 46}, {11, 47}, {11, 51}, {11, 52}, {11, 55}, {11, 59}, {11, 60}, {11, 64}, {11, 67}, {11, 68}, {11, 72}, {11, 73}, {11, 75}, {11, 92}, {11, 94}, {11, 96}, {11, 97}, {11, 98}, {12, 6}, {12, 7}, {12, 16}, {12, 21}, {12, 22}, {12, 23}, {12, 25}, {12, 39}, {12, 46}, {12, 47}, {12, 51}, {12, 52}, {12, 56}, {12, 59}, {12, 60}, {12, 61}, {12, 64}, {12, 68}, {12, 69}, {12, 73}, {12, 74}, {12, 81}, {12, 95}, {12, 97}, {12, 98}, {12, 99}, {12, 104}, {13, 6}, {13, 7}, {13, 8}, {13, 16}, {13, 22}, {13, 23}, {13, 25}, {13, 27}, {13, 29}, {13, 32}, {13, 46}, {13, 47}, {13, 52}, {13, 55}, {13, 60}, {13, 61}, {13, 66}, {13, 69}, {13, 74}, {13, 75}, {13, 89}, {13, 92}, {13, 94}, {13, 96}, {13, 98}, {13, 99}, {13, 105}, {14, 6}, {14, 7}, {14, 8}, {14, 9}, {14, 18}, {14, 23}, {14, 25}, {14, 27}, {14, 33}, {14, 39}, {14, 44}, {14, 47}, {14, 51}, {14, 55}, {14, 56}, {14, 61}, {14, 66}, {14, 67}, {14, 71}, {14, 75}, {14, 78}, {14, 83}, {14, 89}, {14, 95}, {14, 97}, {14, 99}, {14, 104}, {15, 7}, {15, 8}, {15, 9}, {15, 16}, {15, 18}, {15, 19}, {15, 25}, {15, 27}, {15, 29}, {15, 44}, {15, 51}, {15, 52}, {15, 55}, {15, 56}, {15, 59}, {15, 64}, {15, 67}, {15, 68}, {15, 71}, {15, 72}, {15, 79}, {15, 94}, {15, 96}, {15, 98}, {15, 104}, {15, 105}, {15, 107}, {17, 9}, {17, 18}, {17, 21}, {17, 27}, {17, 29}, {17, 33}, {17, 44}, {17, 46}, {17, 47}, {17, 51}, {17, 52}, {17, 56}, {17, 59}, {17, 61}, {17, 64}, {17, 66}, {17, 69}, {17, 73}, {17, 74}, {17, 78}, {17, 79}, {17, 81}, {17, 92}, {17, 96}, {17, 98}, {17, 104}, {17, 107}, {20, 3}, {20, 18}, {20, 21}, {20, 23}, {20, 29}, {20, 32}, {20, 33}, {20, 39}, {20, 47}, {20, 55}, {20, 56}, {20, 59}, {20, 60}, {20, 61}, {20, 64}, {20, 67}, {20, 68}, {20, 69}, {20, 72}, {20, 73}, {20, 81}, {20, 89}, {20, 95}, {20, 96}, {20, 99}, {20, 105}, {20, 107}, {24, 3}, {24, 6}, {24, 7}, {24, 9}, {24, 16}, {24, 18}, {24, 19}, {24, 22}, {24, 25}, {24, 27}, {24, 33}, {24, 47}, {24, 51}, {24, 59}, {24, 60}, {24, 61}, {24, 64}, {24, 66}, {24, 68}, {24, 71}, {24, 72}, {24, 73}, {24, 81}, {24, 85}, {24, 99}, {24, 105}, {24, 107}, {26, 6}, {26, 8}, {26, 9}, {26, 18}, {26, 19}, {26, 21}, {26, 27}, {26, 29}, {26, 39}, {26, 51}, {26, 55}, {26, 56}, {26, 59}, {26, 60}, {26, 61}, {26, 66}, {26, 67}, {26, 68}, {26, 73}, {26, 74}, {26, 75}, {26, 78}, {26, 79}, {26, 83}, {26, 95}, {26, 105}, {26, 107}, {28, 6}, {28, 7}, {28, 8}, {28, 21}, {28, 22}, {28, 23}, {28, 29}, {28, 32}, {28, 39}, {28, 44}, {28, 47}, {28, 51}, {28, 55}, {28, 61}, {28, 64}, {28, 67}, {28, 68}, {28, 69}, {28, 72}, {28, 75}, 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{107, 84}, {107, 88}, {107, 91}, {107, 93}, {107, 103}, {107, 106}} -> (40 - (13*I)*Sqrt[107])/148877 +{{2, 5}, {2, 7}, {2, 8}, {2, 9}, {2, 11}, {2, 12}, {2, 13}, {2, 14}, {2, 15}, {2, 19}, {2, 22}, {2, 23}, {2, 31}, {2, 33}, {2, 35}, {2, 36}, {2, 37}, {2, 38}, {2, 41}, {2, 42}, {2, 43}, {2, 47}, {2, 49}, {2, 50}, {2, 52}, {2, 54}, {2, 56}, {2, 58}, {2, 60}, {2, 61}, {2, 63}, {2, 67}, {2, 68}, {2, 69}, {2, 72}, {2, 73}, {2, 74}, {2, 75}, {2, 77}, {2, 79}, {2, 87}, {2, 88}, {2, 91}, {2, 95}, {2, 96}, {2, 97}, {2, 98}, {2, 99}, {2, 101}, {2, 102}, {2, 103}, {2, 105}, {3, 6}, {3, 7}, {3, 16}, {3, 19}, {3, 22}, {3, 32}, {3, 33}, {3, 39}, {3, 44}, {3, 47}, {3, 51}, {3, 52}, {3, 55}, {3, 56}, {3, 59}, {3, 60}, {3, 64}, {3, 67}, {3, 72}, {3, 78}, {3, 79}, {3, 89}, {3, 92}, {3, 95}, {3, 104}, {3, 105}, {4, 2}, {4, 3}, {4, 5}, {4, 6}, {4, 9}, {4, 13}, {4, 14}, {4, 15}, {4, 17}, {4, 19}, {4, 20}, {4, 21}, {4, 22}, {4, 25}, {4, 31}, {4, 32}, {4, 34}, {4, 37}, {4, 38}, {4, 40}, {4, 41}, {4, 43}, 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21}, {104, 23}, {104, 24}, {104, 25}, {104, 26}, {104, 29}, {104, 30}, {104, 31}, {104, 34}, {104, 36}, {104, 37}, {104, 38}, {104, 41}, {104, 45}, {104, 47}, {104, 49}, {104, 50}, {104, 51}, {104, 52}, {104, 53}, {104, 54}, {104, 55}, {104, 56}, {104, 58}, {104, 60}, {104, 64}, {104, 67}, {104, 68}, {104, 69}, {104, 71}, {104, 74}, {104, 75}, {104, 76}, {104, 79}, {104, 80}, {104, 81}, {104, 82}, {104, 84}, {104, 85}, {104, 86}, {104, 87}, {104, 92}, {104, 94}, {104, 95}, {104, 102}, {105, 2}, {105, 3}, {105, 6}, {105, 10}, {105, 11}, {105, 12}, {105, 14}, {105, 16}, {105, 17}, {105, 18}, {105, 19}, {105, 22}, {105, 28}, {105, 29}, {105, 31}, {105, 34}, {105, 35}, {105, 37}, {105, 38}, {105, 40}, {105, 42}, {105, 44}, {105, 45}, {105, 50}, {105, 52}, {105, 54}, {105, 56}, {105, 61}, {105, 62}, {105, 64}, {105, 66}, {105, 68}, {105, 69}, {105, 71}, {105, 72}, {105, 75}, {105, 77}, {105, 78}, {105, 84}, {105, 87}, {105, 88}, {105, 89}, {105, 90}, {105, 92}, {105, 94}, {105, 95}, {105, 96}, {105, 100}, {105, 103}, {105, 104}, {105, 106}, {105, 107}, {106, 4}, {106, 5}, {106, 14}, {106, 17}, {106, 20}, {106, 30}, {106, 31}, {106, 37}, {106, 42}, {106, 45}, {106, 49}, {106, 50}, {106, 53}, {106, 54}, {106, 57}, {106, 58}, {106, 62}, {106, 65}, {106, 70}, {106, 76}, {106, 77}, {106, 87}, {106, 90}, {106, 93}, {106, 102}, {106, 103}, {107, 4}, {107, 6}, {107, 7}, {107, 8}, {107, 10}, {107, 11}, {107, 12}, {107, 13}, {107, 14}, {107, 18}, {107, 21}, {107, 22}, {107, 30}, {107, 32}, {107, 34}, {107, 35}, {107, 36}, {107, 37}, {107, 40}, {107, 41}, {107, 42}, {107, 46}, {107, 48}, {107, 49}, {107, 51}, {107, 53}, {107, 55}, {107, 57}, {107, 59}, {107, 60}, {107, 62}, {107, 66}, {107, 67}, {107, 68}, {107, 71}, {107, 72}, {107, 73}, {107, 74}, {107, 76}, {107, 78}, {107, 86}, {107, 87}, {107, 90}, {107, 94}, {107, 95}, {107, 96}, {107, 97}, {107, 98}, {107, 100}, {107, 101}, {107, 102}, {107, 104}} -> ((-27*I)/297754)*(-I + Sqrt[107]) diff --git a/etf_63x127_6a.exa b/etf_63x127_6a.exa new file mode 100644 index 0000000..43c0d64 --- /dev/null +++ b/etf_63x127_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {1, 108}, {1, 109}, {1, 110}, {1, 111}, {1, 112}, {1, 113}, {1, 114}, {1, 115}, {1, 116}, {1, 117}, {1, 118}, {1, 119}, {1, 120}, {1, 121}, {1, 122}, {1, 123}, {1, 124}, {1, 125}, {1, 126}, {1, 127}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 113}, {114, 1}, {114, 114}, {115, 1}, {115, 115}, {116, 1}, {116, 116}, {117, 1}, {117, 117}, {118, 1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}} -> 32/3969 +{{2, 4}, {2, 6}, {2, 11}, {2, 13}, {2, 15}, {2, 21}, {2, 24}, {2, 28}, {2, 34}, {2, 40}, {2, 44}, {2, 46}, {2, 49}, {2, 52}, {2, 54}, {2, 64}, {2, 66}, {2, 76}, {2, 78}, {2, 81}, {2, 84}, {2, 86}, {2, 90}, {2, 96}, {2, 102}, {2, 106}, {2, 109}, 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{115, 75}, {115, 78}, {115, 79}, {115, 81}, {115, 82}, {115, 84}, {115, 88}, {115, 90}, {115, 93}, {115, 94}, {115, 95}, {115, 96}, {115, 97}, {115, 98}, {115, 101}, {115, 102}, {115, 105}, {115, 106}, {115, 107}, {115, 108}, {115, 111}, {115, 113}, {115, 116}, {115, 120}, {115, 123}, {115, 127}, {116, 3}, {116, 9}, {116, 12}, {116, 16}, {116, 17}, {116, 18}, {116, 22}, {116, 32}, {116, 35}, {116, 37}, {116, 42}, {116, 43}, {116, 45}, {116, 48}, {116, 69}, {116, 72}, {116, 74}, {116, 75}, {116, 80}, {116, 82}, {116, 85}, {116, 95}, {116, 99}, {116, 100}, {116, 101}, {116, 105}, {116, 108}, {116, 114}, {116, 121}, {116, 122}, {116, 123}, {117, 3}, {117, 4}, {117, 5}, {117, 9}, {117, 12}, {117, 13}, {117, 16}, {117, 20}, {117, 22}, {117, 26}, {117, 27}, {117, 29}, {117, 30}, {117, 31}, {117, 32}, {117, 37}, {117, 39}, {117, 41}, {117, 42}, {117, 44}, {117, 46}, {117, 47}, {117, 49}, {117, 50}, {117, 51}, {117, 55}, {117, 56}, {117, 57}, {117, 61}, {117, 62}, {117, 63}, {117, 67}, {117, 68}, {117, 69}, {117, 71}, {117, 72}, {117, 74}, {117, 76}, {117, 77}, {117, 79}, {117, 81}, {117, 86}, {117, 87}, {117, 88}, {117, 89}, {117, 91}, {117, 92}, {117, 96}, {117, 98}, {117, 102}, {117, 105}, {117, 106}, {117, 109}, {117, 113}, {117, 114}, {117, 115}, {117, 118}, {117, 120}, {117, 121}, {117, 124}, {117, 125}, {117, 127}, {118, 3}, {118, 5}, {118, 14}, {118, 18}, {118, 19}, {118, 20}, {118, 31}, {118, 36}, {118, 37}, {118, 39}, {118, 42}, {118, 45}, {118, 48}, {118, 50}, {118, 69}, {118, 71}, {118, 74}, {118, 77}, {118, 80}, {118, 82}, {118, 83}, {118, 88}, {118, 99}, {118, 100}, {118, 101}, {118, 105}, {118, 114}, {118, 116}, {118, 121}, {118, 123}, {118, 125}, {119, 3}, {119, 4}, {119, 5}, {119, 6}, {119, 9}, {119, 10}, {119, 14}, {119, 15}, {119, 17}, {119, 18}, {119, 21}, {119, 22}, {119, 23}, {119, 25}, {119, 26}, {119, 27}, {119, 33}, {119, 36}, {119, 39}, {119, 40}, {119, 42}, {119, 46}, {119, 47}, {119, 49}, {119, 53}, {119, 55}, {119, 57}, {119, 58}, {119, 59}, {119, 61}, {119, 62}, {119, 63}, {119, 65}, {119, 67}, {119, 71}, {119, 73}, {119, 74}, {119, 78}, {119, 80}, {119, 81}, {119, 84}, {119, 87}, {119, 93}, {119, 94}, {119, 95}, {119, 97}, {119, 98}, {119, 99}, {119, 102}, {119, 103}, {119, 105}, {119, 106}, {119, 110}, {119, 111}, {119, 114}, {119, 115}, {119, 116}, {119, 117}, {119, 121}, {119, 123}, {119, 124}, {119, 126}, {120, 2}, {120, 7}, {120, 9}, {120, 10}, {120, 12}, {120, 13}, {120, 14}, {120, 18}, {120, 19}, {120, 21}, {120, 23}, {120, 27}, {120, 31}, {120, 35}, {120, 37}, {120, 41}, {120, 42}, {120, 43}, {120, 44}, {120, 45}, {120, 46}, {120, 47}, {120, 49}, {120, 52}, {120, 53}, {120, 56}, {120, 58}, {120, 59}, {120, 60}, {120, 61}, {120, 62}, {120, 63}, {120, 65}, {120, 68}, {120, 69}, {120, 72}, {120, 74}, {120, 75}, {120, 76}, {120, 77}, {120, 78}, {120, 79}, {120, 80}, {120, 84}, {120, 86}, {120, 90}, {120, 94}, {120, 98}, {120, 100}, {120, 102}, {120, 103}, {120, 107}, {120, 108}, {120, 109}, {120, 111}, {120, 112}, {120, 114}, {120, 119}, {120, 121}, {120, 122}, {120, 126}, {120, 127}, {121, 14}, {121, 17}, {121, 18}, {121, 22}, {121, 23}, {121, 27}, {121, 33}, {121, 37}, {121, 39}, {121, 42}, {121, 45}, {121, 48}, {121, 50}, {121, 51}, {121, 53}, {121, 61}, {121, 69}, {121, 71}, {121, 72}, {121, 74}, {121, 77}, {121, 80}, {121, 83}, {121, 85}, {121, 89}, {121, 95}, {121, 99}, {121, 100}, {121, 104}, {121, 105}, {121, 108}, {122, 2}, {122, 5}, {122, 9}, {122, 18}, {122, 19}, {122, 22}, {122, 23}, {122, 35}, {122, 38}, {122, 43}, {122, 48}, {122, 50}, {122, 51}, {122, 53}, {122, 61}, {122, 62}, {122, 70}, {122, 72}, {122, 73}, {122, 75}, {122, 80}, {122, 85}, {122, 88}, {122, 100}, {122, 101}, {122, 104}, {122, 105}, {122, 114}, {122, 118}, {122, 121}, {122, 125}, {123, 2}, {123, 3}, {123, 10}, {123, 16}, {123, 19}, {123, 20}, {123, 23}, {123, 35}, {123, 36}, {123, 39}, {123, 42}, {123, 50}, {123, 51}, {123, 53}, {123, 61}, {123, 62}, {123, 63}, {123, 71}, {123, 73}, {123, 74}, {123, 82}, {123, 85}, {123, 88}, {123, 89}, {123, 101}, {123, 104}, {123, 105}, {123, 108}, {123, 114}, {123, 121}, {123, 122}, {124, 4}, {124, 5}, {124, 7}, {124, 10}, {124, 11}, {124, 12}, {124, 14}, {124, 16}, {124, 18}, {124, 19}, {124, 21}, {124, 22}, {124, 23}, {124, 24}, {124, 25}, {124, 27}, {124, 30}, {124, 31}, {124, 32}, {124, 33}, {124, 35}, {124, 38}, {124, 39}, {124, 40}, {124, 52}, {124, 54}, {124, 55}, {124, 56}, {124, 60}, {124, 61}, {124, 64}, {124, 65}, {124, 69}, {124, 70}, {124, 71}, {124, 73}, {124, 85}, {124, 86}, {124, 87}, {124, 90}, {124, 92}, {124, 93}, {124, 94}, {124, 95}, {124, 98}, {124, 100}, {124, 101}, {124, 102}, {124, 103}, {124, 104}, {124, 106}, {124, 107}, {124, 109}, {124, 111}, {124, 113}, {124, 114}, {124, 115}, {124, 118}, {124, 120}, {124, 121}, {124, 125}, {124, 127}, {125, 3}, {125, 5}, {125, 10}, {125, 12}, {125, 18}, {125, 22}, {125, 26}, {125, 27}, {125, 31}, {125, 37}, {125, 38}, {125, 43}, {125, 51}, {125, 53}, {125, 61}, {125, 63}, {125, 65}, {125, 73}, {125, 75}, {125, 83}, {125, 88}, {125, 89}, {125, 95}, {125, 99}, {125, 100}, {125, 104}, {125, 108}, {125, 114}, {125, 116}, {125, 121}, {125, 123}, {126, 3}, {126, 4}, {126, 6}, {126, 10}, {126, 11}, {126, 12}, {126, 13}, {126, 14}, {126, 16}, {126, 17}, {126, 18}, {126, 20}, {126, 28}, {126, 31}, {126, 33}, {126, 35}, {126, 36}, {126, 37}, {126, 43}, {126, 44}, {126, 47}, {126, 48}, {126, 51}, {126, 52}, {126, 54}, {126, 55}, {126, 56}, {126, 57}, {126, 58}, {126, 61}, {126, 63}, {126, 64}, {126, 66}, {126, 69}, {126, 70}, {126, 71}, {126, 72}, {126, 73}, {126, 75}, {126, 76}, {126, 79}, {126, 80}, {126, 83}, {126, 84}, {126, 90}, {126, 91}, {126, 92}, {126, 94}, {126, 96}, {126, 99}, {126, 107}, {126, 109}, {126, 110}, {126, 111}, {126, 113}, {126, 114}, {126, 115}, {126, 116}, {126, 117}, {126, 121}, {126, 123}, {126, 124}, {127, 2}, {127, 6}, {127, 7}, {127, 9}, {127, 16}, {127, 17}, {127, 18}, {127, 19}, {127, 22}, {127, 24}, {127, 26}, {127, 28}, {127, 29}, {127, 31}, {127, 32}, {127, 35}, {127, 36}, {127, 37}, {127, 38}, {127, 40}, {127, 42}, {127, 46}, {127, 50}, {127, 54}, {127, 55}, {127, 56}, {127, 57}, {127, 58}, {127, 59}, {127, 61}, {127, 62}, {127, 66}, {127, 67}, {127, 69}, {127, 70}, {127, 71}, {127, 72}, {127, 73}, {127, 74}, {127, 78}, {127, 82}, {127, 86}, {127, 88}, {127, 90}, {127, 91}, {127, 92}, {127, 93}, {127, 96}, {127, 97}, {127, 99}, {127, 100}, {127, 102}, {127, 104}, {127, 106}, {127, 109}, {127, 110}, {127, 111}, {127, 112}, {127, 119}, {127, 121}, {127, 122}, {127, 126}} -> ((-16*I)/250047)*(-I + Sqrt[127]) diff --git a/etf_65x131_6a.exa b/etf_65x131_6a.exa new file mode 100644 index 0000000..2f20164 --- /dev/null +++ b/etf_65x131_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {1, 108}, {1, 109}, {1, 110}, {1, 111}, {1, 112}, {1, 113}, {1, 114}, {1, 115}, {1, 116}, {1, 117}, {1, 118}, {1, 119}, {1, 120}, {1, 121}, {1, 122}, {1, 123}, {1, 124}, {1, 125}, {1, 126}, {1, 127}, {1, 128}, {1, 129}, {1, 130}, {1, 131}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 113}, {114, 1}, {114, 114}, {115, 1}, {115, 115}, {116, 1}, {116, 116}, {117, 1}, {117, 117}, {118, 1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}, {128, 1}, {128, 128}, {129, 1}, {129, 129}, {130, 1}, {130, 130}, {131, 1}, {131, 131}} -> 33/4225 +{{2, 3}, {2, 7}, {2, 9}, {2, 11}, {2, 15}, {2, 18}, {2, 23}, {2, 27}, {2, 30}, {2, 38}, {2, 41}, {2, 43}, {2, 48}, {2, 51}, {2, 55}, {2, 57}, {2, 67}, {2, 77}, {2, 79}, {2, 83}, {2, 86}, {2, 91}, {2, 93}, {2, 96}, {2, 104}, {2, 107}, {2, 111}, {2, 116}, {2, 119}, {2, 123}, {2, 125}, {2, 127}, {2, 131}, {4, 7}, {4, 9}, {4, 11}, {4, 15}, {4, 19}, {4, 20}, {4, 24}, {4, 25}, {4, 31}, {4, 32}, {4, 38}, {4, 43}, {4, 48}, {4, 52}, {4, 57}, {4, 67}, {4, 68}, {4, 69}, {4, 79}, {4, 84}, {4, 88}, {4, 93}, {4, 98}, {4, 104}, {4, 105}, {4, 111}, {4, 112}, {4, 116}, {4, 117}, {4, 121}, {4, 125}, {4, 127}, {4, 129}, {5, 3}, {5, 9}, {5, 18}, {5, 20}, {5, 25}, {5, 30}, {5, 32}, {5, 33}, {5, 38}, {5, 41}, {5, 43}, {5, 48}, {5, 51}, {5, 57}, {5, 58}, {5, 67}, {5, 68}, {5, 69}, {5, 70}, {5, 79}, {5, 80}, {5, 86}, {5, 89}, {5, 94}, {5, 96}, {5, 99}, {5, 104}, {5, 105}, {5, 107}, {5, 112}, {5, 117}, {5, 119}, {5, 128}, {6, 7}, {6, 9}, {6, 11}, {6, 15}, {6, 18}, {6, 19}, {6, 27}, {6, 31}, {6, 33}, {6, 41}, {6, 51}, {6, 52}, {6, 55}, {6, 58}, {6, 67}, {6, 68}, {6, 69}, {6, 70}, {6, 71}, {6, 80}, {6, 83}, {6, 86}, {6, 87}, {6, 97}, {6, 105}, {6, 107}, {6, 111}, {6, 119}, {6, 120}, {6, 123}, {6, 127}, {6, 129}, {6, 131}, {8, 9}, {8, 11}, {8, 15}, {8, 19}, {8, 20}, {8, 23}, {8, 24}, {8, 33}, {8, 41}, {8, 43}, {8, 51}, {8, 52}, {8, 57}, {8, 67}, {8, 68}, {8, 69}, {8, 70}, {8, 71}, {8, 72}, {8, 73}, {8, 83}, {8, 88}, {8, 89}, {8, 97}, {8, 99}, {8, 107}, {8, 116}, {8, 117}, {8, 120}, {8, 121}, {8, 125}, {8, 129}, 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110}, {131, 115}, {131, 118}, {131, 122}, {131, 124}, {131, 126}, {131, 130}} -> (49 - (16*I)*Sqrt[131])/274625 +{{2, 5}, {2, 6}, {2, 13}, {2, 14}, {2, 17}, {2, 19}, {2, 20}, {2, 22}, {2, 24}, {2, 25}, {2, 29}, {2, 31}, {2, 32}, {2, 33}, {2, 35}, {2, 36}, {2, 37}, {2, 40}, {2, 45}, {2, 46}, {2, 47}, {2, 50}, {2, 52}, {2, 54}, {2, 58}, {2, 60}, {2, 61}, {2, 62}, {2, 63}, {2, 64}, {2, 65}, {2, 66}, {2, 68}, {2, 69}, {2, 70}, {2, 71}, {2, 72}, {2, 73}, {2, 74}, {2, 76}, {2, 80}, {2, 82}, {2, 84}, {2, 87}, {2, 88}, {2, 89}, {2, 94}, {2, 97}, {2, 98}, {2, 99}, {2, 101}, {2, 102}, {2, 103}, {2, 105}, {2, 109}, {2, 110}, {2, 112}, {2, 114}, {2, 115}, {2, 117}, {2, 120}, {2, 121}, {2, 128}, {2, 129}, {3, 7}, {3, 15}, {3, 18}, {3, 19}, {3, 23}, {3, 24}, {3, 30}, {3, 31}, {3, 38}, {3, 41}, {3, 48}, {3, 51}, {3, 52}, {3, 55}, {3, 58}, {3, 67}, {3, 68}, {3, 77}, {3, 80}, {3, 83}, {3, 84}, {3, 87}, {3, 94}, {3, 97}, {3, 104}, {3, 105}, {3, 111}, {3, 112}, {3, 116}, {3, 117}, {3, 120}, {3, 128}, {4, 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{5, 106}, {5, 110}, {5, 111}, {5, 113}, {5, 114}, {5, 116}, {5, 118}, {5, 120}, {5, 121}, {5, 122}, {5, 123}, {5, 125}, {5, 126}, {5, 127}, {5, 129}, {5, 130}, {5, 131}, {6, 3}, {6, 4}, {6, 10}, {6, 13}, {6, 17}, {6, 20}, {6, 21}, {6, 22}, {6, 23}, {6, 24}, {6, 25}, {6, 26}, {6, 30}, {6, 32}, {6, 34}, {6, 38}, {6, 39}, {6, 40}, {6, 42}, {6, 43}, {6, 44}, {6, 45}, {6, 47}, {6, 48}, {6, 49}, {6, 50}, {6, 54}, {6, 57}, {6, 59}, {6, 61}, {6, 64}, {6, 65}, {6, 66}, {6, 72}, {6, 73}, {6, 74}, {6, 77}, {6, 79}, {6, 81}, {6, 84}, {6, 88}, {6, 89}, {6, 90}, {6, 91}, {6, 93}, {6, 94}, {6, 95}, {6, 96}, {6, 98}, {6, 99}, {6, 100}, {6, 104}, {6, 106}, {6, 108}, {6, 112}, {6, 113}, {6, 114}, {6, 115}, {6, 116}, {6, 117}, {6, 118}, {6, 121}, {6, 125}, {6, 128}, {7, 11}, {7, 18}, {7, 19}, {7, 20}, {7, 23}, {7, 27}, {7, 32}, {7, 41}, {7, 43}, {7, 48}, {7, 51}, {7, 52}, {7, 55}, {7, 67}, {7, 68}, {7, 69}, {7, 70}, {7, 71}, {7, 72}, {7, 84}, {7, 87}, {7, 88}, {7, 91}, {7, 96}, {7, 98}, {7, 107}, {7, 112}, {7, 116}, {7, 119}, {7, 120}, {7, 121}, {7, 128}, {8, 2}, {8, 3}, {8, 6}, {8, 7}, {8, 12}, {8, 13}, {8, 17}, {8, 18}, {8, 21}, {8, 25}, {8, 27}, {8, 28}, {8, 29}, {8, 30}, {8, 31}, {8, 32}, {8, 35}, {8, 36}, {8, 38}, {8, 42}, {8, 44}, {8, 46}, {8, 47}, {8, 48}, {8, 49}, {8, 53}, {8, 54}, {8, 55}, {8, 56}, {8, 58}, {8, 60}, {8, 61}, {8, 63}, {8, 66}, {8, 74}, {8, 77}, {8, 79}, {8, 80}, {8, 82}, {8, 84}, {8, 85}, {8, 86}, {8, 87}, {8, 91}, {8, 92}, {8, 93}, {8, 94}, {8, 96}, {8, 98}, {8, 102}, {8, 104}, {8, 105}, {8, 108}, {8, 109}, {8, 110}, {8, 111}, {8, 112}, {8, 113}, {8, 115}, {8, 119}, {8, 122}, {8, 123}, {8, 127}, {8, 128}, {9, 3}, {9, 7}, {9, 18}, {9, 20}, {9, 24}, {9, 25}, {9, 30}, {9, 43}, {9, 48}, {9, 52}, {9, 55}, {9, 57}, {9, 58}, {9, 67}, {9, 68}, {9, 69}, {9, 70}, {9, 71}, {9, 72}, {9, 73}, {9, 74}, {9, 83}, {9, 84}, {9, 86}, {9, 89}, {9, 93}, {9, 98}, {9, 111}, {9, 116}, {9, 117}, {9, 121}, {9, 123}, {10, 2}, {10, 3}, {10, 4}, {10, 7}, {10, 8}, {10, 9}, {10, 13}, {10, 14}, {10, 17}, {10, 18}, {10, 20}, {10, 21}, {10, 22}, {10, 24}, {10, 26}, {10, 27}, {10, 32}, {10, 33}, {10, 35}, {10, 37}, {10, 41}, {10, 44}, {10, 45}, {10, 46}, {10, 49}, {10, 52}, {10, 53}, {10, 54}, {10, 56}, {10, 57}, {10, 59}, {10, 62}, {10, 63}, {10, 65}, {10, 67}, {10, 75}, {10, 77}, {10, 79}, {10, 80}, {10, 83}, {10, 85}, {10, 86}, {10, 88}, {10, 89}, {10, 90}, {10, 93}, {10, 96}, {10, 97}, {10, 98}, {10, 101}, {10, 105}, {10, 107}, {10, 109}, {10, 110}, {10, 115}, {10, 116}, {10, 118}, {10, 120}, {10, 121}, {10, 122}, {10, 124}, {10, 125}, {10, 128}, {10, 129}, {11, 3}, {11, 9}, {11, 15}, {11, 18}, {11, 20}, {11, 23}, {11, 24}, {11, 27}, {11, 31}, {11, 32}, {11, 38}, {11, 52}, {11, 55}, {11, 57}, {11, 69}, {11, 70}, {11, 71}, {11, 72}, {11, 73}, {11, 74}, {11, 86}, {11, 88}, {11, 91}, {11, 105}, {11, 111}, {11, 112}, {11, 116}, {11, 119}, {11, 120}, {11, 123}, {11, 125}, {11, 128}, {12, 2}, {12, 3}, {12, 4}, {12, 6}, {12, 7}, {12, 9}, {12, 10}, {12, 11}, {12, 13}, {12, 16}, {12, 17}, {12, 18}, {12, 20}, {12, 21}, {12, 28}, {12, 30}, {12, 31}, {12, 37}, {12, 38}, {12, 39}, {12, 40}, {12, 41}, {12, 43}, {12, 45}, {12, 46}, {12, 47}, {12, 50}, {12, 52}, {12, 53}, {12, 56}, {12, 60}, {12, 61}, {12, 64}, {12, 65}, {12, 68}, {12, 69}, {12, 75}, {12, 76}, {12, 79}, {12, 80}, {12, 83}, {12, 84}, {12, 88}, {12, 91}, {12, 92}, {12, 94}, {12, 97}, {12, 98}, {12, 99}, {12, 101}, {12, 103}, {12, 104}, {12, 105}, {12, 106}, {12, 107}, {12, 113}, {12, 114}, {12, 116}, {12, 123}, {12, 124}, {12, 126}, {12, 127}, {12, 128}, {12, 131}, {13, 5}, {13, 9}, {13, 14}, {13, 15}, {13, 16}, {13, 17}, {13, 19}, {13, 22}, {13, 23}, {13, 26}, {13, 27}, {13, 28}, {13, 29}, {13, 30}, {13, 31}, {13, 32}, {13, 34}, {13, 40}, {13, 43}, {13, 46}, {13, 47}, {13, 49}, {13, 54}, {13, 55}, {13, 56}, {13, 59}, {13, 61}, {13, 62}, {13, 65}, {13, 66}, {13, 67}, {13, 69}, {13, 70}, {13, 75}, {13, 76}, {13, 78}, {13, 79}, {13, 80}, {13, 83}, {13, 84}, {13, 86}, {13, 89}, {13, 90}, {13, 91}, {13, 96}, {13, 98}, {13, 99}, {13, 102}, {13, 105}, {13, 111}, {13, 113}, {13, 114}, {13, 115}, {13, 116}, {13, 117}, {13, 118}, {13, 119}, {13, 122}, {13, 123}, {13, 126}, {13, 128}, {13, 129}, {13, 130}, {13, 131}, {14, 3}, {14, 4}, {14, 6}, {14, 7}, {14, 8}, {14, 9}, {14, 11}, {14, 12}, {14, 17}, {14, 20}, {14, 21}, {14, 24}, {14, 26}, {14, 29}, {14, 31}, {14, 32}, {14, 33}, {14, 34}, {14, 35}, {14, 38}, {14, 39}, {14, 42}, {14, 43}, {14, 47}, {14, 49}, {14, 50}, {14, 51}, {14, 53}, {14, 59}, {14, 60}, {14, 62}, {14, 63}, {14, 66}, {14, 68}, {14, 70}, {14, 71}, {14, 75}, {14, 76}, {14, 78}, {14, 80}, {14, 83}, {14, 84}, {14, 86}, {14, 87}, {14, 93}, {14, 95}, {14, 96}, {14, 97}, {14, 99}, {14, 103}, {14, 104}, {14, 107}, {14, 108}, {14, 111}, {14, 112}, {14, 113}, {14, 114}, {14, 115}, {14, 117}, {14, 120}, {14, 122}, {14, 125}, {14, 126}, {14, 129}, {15, 7}, {15, 9}, {15, 18}, {15, 19}, {15, 20}, {15, 24}, {15, 27}, {15, 30}, {15, 31}, {15, 43}, {15, 48}, {15, 51}, {15, 58}, {15, 67}, {15, 68}, {15, 70}, {15, 73}, {15, 74}, {15, 77}, {15, 79}, {15, 80}, {15, 89}, {15, 96}, {15, 99}, {15, 104}, {15, 116}, {15, 117}, {15, 120}, {15, 123}, {15, 127}, {15, 128}, {15, 129}, {16, 2}, {16, 3}, {16, 6}, {16, 7}, {16, 8}, {16, 9}, {16, 10}, {16, 11}, {16, 14}, {16, 15}, {16, 17}, {16, 18}, {16, 21}, {16, 24}, {16, 28}, {16, 29}, {16, 30}, {16, 33}, {16, 36}, {16, 37}, {16, 38}, {16, 44}, {16, 48}, {16, 49}, {16, 50}, {16, 54}, {16, 58}, {16, 59}, {16, 60}, {16, 61}, {16, 62}, {16, 64}, {16, 65}, {16, 67}, {16, 70}, {16, 72}, {16, 73}, {16, 75}, {16, 76}, {16, 78}, {16, 81}, {16, 83}, {16, 84}, {16, 86}, {16, 87}, {16, 88}, {16, 89}, {16, 90}, {16, 94}, {16, 98}, {16, 99}, {16, 100}, {16, 104}, {16, 110}, {16, 111}, {16, 112}, {16, 115}, {16, 118}, {16, 119}, {16, 120}, {16, 124}, {16, 127}, {16, 130}, {16, 131}, {17, 19}, {17, 21}, {17, 22}, {17, 23}, {17, 25}, {17, 26}, {17, 27}, {17, 28}, {17, 29}, {17, 31}, {17, 37}, {17, 41}, {17, 42}, {17, 43}, {17, 44}, {17, 45}, {17, 48}, {17, 50}, {17, 53}, {17, 56}, {17, 57}, {17, 60}, {17, 61}, {17, 62}, {17, 63}, {17, 65}, {17, 66}, {17, 67}, {17, 68}, {17, 71}, {17, 73}, {17, 74}, {17, 75}, {17, 76}, {17, 78}, {17, 81}, {17, 82}, {17, 83}, {17, 84}, {17, 86}, {17, 87}, {17, 88}, {17, 89}, {17, 92}, {17, 93}, {17, 96}, {17, 99}, {17, 101}, {17, 104}, {17, 105}, {17, 106}, {17, 107}, {17, 108}, {17, 112}, {17, 118}, {17, 120}, {17, 121}, {17, 122}, {17, 123}, {17, 124}, {17, 126}, {17, 127}, {17, 128}, {17, 130}, {18, 19}, {18, 23}, {18, 25}, {18, 27}, {18, 30}, {18, 31}, {18, 33}, {18, 38}, {18, 43}, {18, 51}, {18, 52}, {18, 57}, {18, 67}, {18, 70}, {18, 71}, {18, 73}, {18, 77}, {18, 79}, {18, 80}, {18, 83}, {18, 93}, {18, 98}, {18, 99}, {18, 107}, {18, 112}, {18, 117}, {18, 119}, {18, 120}, {18, 123}, {18, 125}, {18, 127}, {18, 131}, {19, 9}, {19, 11}, {19, 20}, {19, 23}, {19, 24}, {19, 30}, {19, 31}, {19, 32}, {19, 52}, {19, 55}, {19, 57}, {19, 58}, {19, 67}, {19, 68}, {19, 71}, {19, 72}, {19, 74}, {19, 77}, {19, 79}, {19, 80}, {19, 83}, {19, 84}, {19, 93}, {19, 94}, {19, 96}, {19, 99}, {19, 119}, {19, 120}, {19, 121}, {19, 127}, {19, 128}, {19, 131}, {20, 3}, {20, 18}, {20, 23}, {20, 24}, {20, 25}, {20, 27}, {20, 31}, {20, 32}, {20, 33}, {20, 41}, {20, 48}, {20, 55}, {20, 58}, {20, 68}, {20, 69}, {20, 72}, {20, 73}, {20, 79}, {20, 80}, {20, 83}, {20, 84}, {20, 94}, {20, 97}, {20, 104}, {20, 111}, {20, 119}, {20, 120}, {20, 121}, {20, 125}, {20, 127}, {20, 128}, {20, 129}, {21, 2}, {21, 4}, {21, 9}, {21, 13}, {21, 18}, {21, 20}, {21, 22}, {21, 23}, {21, 26}, {21, 27}, {21, 28}, {21, 31}, {21, 34}, {21, 36}, {21, 37}, {21, 38}, {21, 42}, {21, 43}, {21, 46}, {21, 49}, {21, 51}, {21, 52}, {21, 54}, {21, 56}, {21, 58}, {21, 59}, {21, 60}, {21, 62}, {21, 64}, {21, 65}, {21, 66}, {21, 68}, {21, 71}, {21, 72}, {21, 76}, {21, 77}, {21, 81}, {21, 82}, {21, 85}, {21, 87}, {21, 88}, {21, 89}, {21, 91}, {21, 93}, {21, 94}, {21, 95}, {21, 97}, {21, 99}, {21, 101}, {21, 102}, {21, 104}, {21, 107}, {21, 110}, {21, 111}, {21, 115}, {21, 116}, {21, 117}, {21, 119}, {21, 122}, {21, 125}, {21, 126}, {21, 127}, {21, 130}, {21, 131}, {22, 4}, {22, 5}, {22, 7}, {22, 8}, {22, 9}, {22, 11}, {22, 12}, {22, 14}, {22, 15}, {22, 16}, {22, 18}, {22, 19}, {22, 24}, {22, 26}, {22, 29}, {22, 30}, {22, 32}, {22, 34}, {22, 35}, {22, 37}, {22, 41}, {22, 42}, {22, 47}, {22, 48}, {22, 49}, {22, 50}, {22, 51}, {22, 52}, {22, 56}, {22, 60}, {22, 61}, {22, 63}, {22, 65}, {22, 66}, {22, 69}, {22, 72}, {22, 73}, {22, 75}, {22, 79}, {22, 81}, {22, 82}, {22, 85}, {22, 88}, {22, 89}, {22, 91}, {22, 93}, {22, 94}, {22, 98}, {22, 102}, {22, 103}, {22, 104}, {22, 105}, {22, 106}, {22, 107}, {22, 112}, {22, 113}, {22, 117}, {22, 119}, {22, 120}, {22, 122}, {22, 124}, {22, 125}, {22, 128}, {22, 130}, {23, 9}, {23, 15}, {23, 24}, {23, 27}, {23, 30}, {23, 32}, {23, 38}, {23, 43}, {23, 48}, {23, 51}, {23, 57}, {23, 58}, {23, 67}, {23, 68}, {23, 69}, {23, 71}, {23, 72}, {23, 83}, {23, 84}, {23, 86}, {23, 87}, {23, 88}, {23, 97}, {23, 98}, {23, 104}, {23, 107}, {23, 112}, {23, 117}, {23, 123}, {23, 125}, {23, 128}, {23, 131}, {24, 7}, {24, 18}, {24, 25}, {24, 27}, {24, 31}, {24, 33}, {24, 51}, {24, 52}, {24, 57}, {24, 58}, {24, 67}, {24, 68}, {24, 69}, {24, 70}, {24, 72}, {24, 73}, {24, 77}, {24, 79}, {24, 83}, {24, 84}, {24, 86}, {24, 87}, {24, 88}, {24, 89}, {24, 98}, {24, 99}, {24, 104}, {24, 105}, {24, 123}, {24, 125}, {24, 129}, {24, 131}, {25, 3}, {25, 7}, {25, 11}, {25, 15}, {25, 19}, {25, 23}, {25, 30}, {25, 32}, {25, 38}, {25, 41}, {25, 52}, {25, 58}, {25, 68}, {25, 69}, {25, 70}, {25, 71}, {25, 73}, {25, 74}, {25, 77}, {25, 80}, {25, 83}, {25, 84}, {25, 86}, {25, 87}, {25, 88}, {25, 89}, {25, 99}, {25, 105}, {25, 116}, {25, 119}, {25, 125}, {25, 127}, {26, 2}, {26, 4}, {26, 8}, {26, 11}, {26, 12}, {26, 15}, {26, 16}, {26, 19}, {26, 23}, {26, 25}, {26, 29}, {26, 32}, {26, 35}, {26, 37}, {26, 39}, {26, 42}, {26, 43}, {26, 46}, {26, 47}, {26, 48}, {26, 52}, {26, 53}, {26, 54}, {26, 55}, {26, 57}, {26, 58}, {26, 59}, {26, 60}, {26, 61}, {26, 62}, {26, 64}, {26, 65}, {26, 68}, {26, 73}, {26, 75}, {26, 77}, {26, 78}, {26, 80}, {26, 81}, {26, 83}, {26, 85}, {26, 90}, {26, 93}, {26, 94}, {26, 96}, {26, 97}, {26, 98}, {26, 99}, {26, 100}, {26, 101}, {26, 103}, {26, 104}, {26, 105}, {26, 106}, {26, 110}, {26, 111}, {26, 112}, {26, 115}, {26, 116}, {26, 119}, {26, 121}, {26, 123}, {26, 126}, {26, 129}, {27, 3}, {27, 9}, {27, 19}, {27, 25}, {27, 30}, {27, 31}, {27, 32}, {27, 38}, {27, 43}, {27, 48}, {27, 52}, {27, 55}, {27, 68}, {27, 70}, {27, 71}, {27, 72}, {27, 73}, {27, 79}, {27, 80}, {27, 86}, {27, 87}, {27, 88}, {27, 89}, {27, 91}, {27, 104}, {27, 107}, {27, 111}, {27, 116}, {27, 121}, {27, 127}, {27, 128}, {27, 129}, {28, 2}, {28, 3}, {28, 4}, {28, 5}, {28, 6}, {28, 7}, {28, 10}, {28, 14}, {28, 15}, {28, 19}, {28, 22}, {28, 23}, {28, 24}, {28, 25}, {28, 26}, {28, 27}, {28, 29}, {28, 30}, {28, 35}, {28, 37}, {28, 38}, {28, 39}, {28, 40}, {28, 44}, {28, 49}, {28, 51}, {28, 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{129, 27}, {129, 30}, {129, 34}, {129, 36}, {129, 37}, {129, 38}, {129, 39}, {129, 42}, {129, 44}, {129, 46}, {129, 47}, {129, 48}, {129, 50}, {129, 52}, {129, 53}, {129, 55}, {129, 56}, {129, 59}, {129, 60}, {129, 61}, {129, 62}, {129, 63}, {129, 67}, {129, 68}, {129, 69}, {129, 70}, {129, 71}, {129, 74}, {129, 75}, {129, 77}, {129, 78}, {129, 80}, {129, 82}, {129, 83}, {129, 84}, {129, 86}, {129, 88}, {129, 91}, {129, 92}, {129, 93}, {129, 94}, {129, 96}, {129, 100}, {129, 103}, {129, 104}, {129, 106}, {129, 110}, {129, 115}, {129, 116}, {129, 117}, {129, 120}, {129, 125}, {129, 128}, {129, 130}, {129, 131}, {130, 5}, {130, 13}, {130, 16}, {130, 17}, {130, 21}, {130, 22}, {130, 28}, {130, 29}, {130, 36}, {130, 39}, {130, 46}, {130, 49}, {130, 50}, {130, 53}, {130, 56}, {130, 65}, {130, 66}, {130, 75}, {130, 78}, {130, 81}, {130, 82}, {130, 85}, {130, 92}, {130, 95}, {130, 102}, {130, 103}, {130, 109}, {130, 110}, {130, 114}, {130, 115}, {130, 118}, {130, 126}, {131, 4}, {131, 5}, {131, 12}, {131, 13}, {131, 16}, {131, 18}, {131, 19}, {131, 21}, {131, 23}, {131, 24}, {131, 28}, {131, 30}, {131, 31}, {131, 32}, {131, 34}, {131, 35}, {131, 36}, {131, 39}, {131, 44}, {131, 45}, {131, 46}, {131, 49}, {131, 51}, {131, 53}, {131, 57}, {131, 59}, {131, 60}, {131, 61}, {131, 62}, {131, 63}, {131, 64}, {131, 65}, {131, 67}, {131, 68}, {131, 69}, {131, 70}, {131, 71}, {131, 72}, {131, 73}, {131, 75}, {131, 79}, {131, 81}, {131, 83}, {131, 86}, {131, 87}, {131, 88}, {131, 93}, {131, 96}, {131, 97}, {131, 98}, {131, 100}, {131, 101}, {131, 102}, {131, 104}, {131, 108}, {131, 109}, {131, 111}, {131, 113}, {131, 114}, {131, 116}, {131, 119}, {131, 120}, {131, 127}, {131, 128}} -> ((-33*I)/549250)*(-I + Sqrt[131]) diff --git a/etf_69x139_6a.exa b/etf_69x139_6a.exa new file mode 100644 index 0000000..cd25b4d --- /dev/null +++ b/etf_69x139_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {1, 108}, {1, 109}, {1, 110}, {1, 111}, {1, 112}, {1, 113}, {1, 114}, {1, 115}, {1, 116}, {1, 117}, {1, 118}, {1, 119}, {1, 120}, {1, 121}, {1, 122}, {1, 123}, {1, 124}, {1, 125}, {1, 126}, {1, 127}, {1, 128}, {1, 129}, {1, 130}, {1, 131}, {1, 132}, {1, 133}, {1, 134}, {1, 135}, {1, 136}, {1, 137}, {1, 138}, {1, 139}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 113}, {114, 1}, {114, 114}, {115, 1}, {115, 115}, {116, 1}, {116, 116}, {117, 1}, {117, 117}, {118, 1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}, {128, 1}, {128, 128}, {129, 1}, {129, 129}, {130, 1}, {130, 130}, {131, 1}, {131, 131}, {132, 1}, {132, 132}, {133, 1}, {133, 133}, {134, 1}, {134, 134}, {135, 1}, {135, 135}, {136, 1}, {136, 136}, {137, 1}, {137, 137}, {138, 1}, {138, 138}, {139, 1}, {139, 139}} -> 35/4761 +{{2, 3}, {2, 9}, {2, 11}, {2, 13}, {2, 15}, {2, 18}, {2, 22}, {2, 27}, {2, 33}, {2, 40}, {2, 44}, {2, 49}, {2, 51}, {2, 54}, {2, 57}, {2, 59}, {2, 69}, {2, 71}, {2, 73}, {2, 83}, {2, 85}, {2, 88}, {2, 91}, {2, 93}, {2, 98}, {2, 102}, {2, 109}, {2, 115}, {2, 120}, {2, 124}, {2, 127}, {2, 129}, {2, 131}, {2, 133}, {2, 139}, {5, 3}, {5, 9}, {5, 11}, {5, 16}, {5, 18}, {5, 33}, {5, 34}, {5, 40}, {5, 41}, {5, 49}, {5, 51}, {5, 54}, {5, 57}, {5, 59}, {5, 60}, {5, 62}, {5, 69}, {5, 71}, {5, 74}, {5, 76}, {5, 83}, {5, 85}, {5, 86}, {5, 88}, {5, 91}, {5, 94}, {5, 96}, {5, 104}, {5, 105}, {5, 111}, {5, 112}, {5, 127}, {5, 129}, {5, 134}, {5, 136}, {6, 3}, {6, 4}, {6, 11}, {6, 13}, {6, 15}, {6, 19}, {6, 22}, {6, 34}, {6, 40}, {6, 41}, {6, 44}, {6, 51}, {6, 57}, {6, 60}, {6, 61}, {6, 63}, {6, 69}, {6, 71}, {6, 73}, {6, 75}, {6, 77}, {6, 83}, {6, 85}, {6, 86}, {6, 89}, {6, 95}, {6, 102}, {6, 105}, {6, 106}, {6, 112}, {6, 124}, {6, 127}, {6, 131}, {6, 133}, {6, 135}, {7, 4}, {7, 11}, {7, 13}, {7, 16}, {7, 18}, {7, 20}, {7, 23}, {7, 27}, {7, 41}, {7, 44}, {7, 49}, {7, 51}, {7, 54}, {7, 59}, {7, 61}, {7, 62}, {7, 71}, {7, 73}, {7, 74}, {7, 76}, {7, 85}, {7, 86}, {7, 88}, {7, 93}, {7, 96}, {7, 98}, {7, 103}, {7, 106}, {7, 120}, {7, 124}, {7, 127}, {7, 129}, {7, 131}, {7, 134}, {7, 136}, {8, 9}, {8, 13}, {8, 15}, {8, 19}, {8, 24}, {8, 28}, {8, 33}, {8, 44}, {8, 49}, {8, 54}, {8, 57}, {8, 59}, {8, 60}, {8, 62}, {8, 63}, {8, 71}, {8, 73}, {8, 74}, {8, 75}, {8, 77}, {8, 85}, {8, 86}, {8, 88}, {8, 89}, {8, 91}, {8, 94}, {8, 99}, {8, 104}, {8, 115}, {8, 120}, {8, 124}, {8, 129}, {8, 133}, {8, 135}, {8, 139}, {10, 11}, {10, 15}, {10, 16}, {10, 19}, {10, 23}, {10, 34}, {10, 40}, {10, 41}, {10, 44}, {10, 51}, {10, 54}, {10, 57}, {10, 59}, {10, 61}, {10, 62}, {10, 73}, {10, 74}, {10, 75}, {10, 76}, {10, 77}, {10, 88}, {10, 89}, {10, 91}, {10, 93}, {10, 96}, {10, 99}, {10, 106}, {10, 109}, {10, 110}, {10, 116}, {10, 127}, {10, 131}, {10, 134}, {10, 135}, {10, 139}, {12, 4}, {12, 9}, {12, 13}, {12, 16}, {12, 18}, {12, 19}, {12, 23}, {12, 28}, {12, 40}, {12, 41}, {12, 49}, {12, 54}, {12, 57}, {12, 59}, {12, 61}, {12, 63}, {12, 69}, {12, 75}, {12, 76}, {12, 77}, {12, 83}, {12, 89}, {12, 91}, {12, 93}, {12, 95}, {12, 98}, {12, 103}, {12, 111}, {12, 112}, {12, 124}, {12, 129}, {12, 133}, {12, 134}, {12, 136}, {12, 139}, {14, 4}, {14, 11}, {14, 15}, {14, 18}, {14, 19}, {14, 20}, {14, 23}, {14, 27}, {14, 34}, {14, 44}, {14, 49}, {14, 51}, {14, 59}, {14, 60}, {14, 61}, {14, 63}, {14, 69}, {14, 71}, {14, 77}, {14, 83}, {14, 85}, {14, 91}, {14, 93}, {14, 94}, {14, 95}, {14, 103}, {14, 105}, {14, 110}, {14, 120}, {14, 127}, {14, 131}, {14, 134}, {14, 135}, {14, 136}, {14, 139}, {17, 3}, {17, 9}, {17, 15}, {17, 18}, {17, 22}, {17, 23}, {17, 24}, {17, 28}, {17, 33}, {17, 41}, {17, 51}, {17, 54}, {17, 59}, {17, 61}, {17, 62}, {17, 63}, {17, 69}, {17, 71}, {17, 74}, {17, 83}, {17, 86}, {17, 88}, {17, 94}, {17, 95}, {17, 96}, {17, 98}, {17, 103}, {17, 106}, {17, 116}, {17, 124}, {17, 129}, {17, 133}, {17, 134}, {17, 135}, {17, 139}, {21, 3}, {21, 4}, {21, 9}, {21, 11}, {21, 13}, {21, 18}, {21, 19}, {21, 22}, {21, 27}, {21, 28}, {21, 34}, {21, 41}, {21, 49}, {21, 51}, {21, 57}, {21, 59}, {21, 62}, {21, 63}, {21, 73}, {21, 75}, {21, 76}, {21, 85}, {21, 86}, {21, 88}, {21, 98}, {21, 99}, {21, 102}, {21, 104}, {21, 110}, {21, 112}, {21, 120}, {21, 127}, {21, 133}, {21, 134}, {21, 139}, {25, 3}, {25, 4}, {25, 11}, {25, 13}, {25, 15}, {25, 22}, {25, 23}, {25, 34}, {25, 41}, {25, 49}, {25, 54}, {25, 59}, {25, 60}, {25, 61}, {25, 62}, {25, 63}, {25, 69}, {25, 71}, {25, 74}, {25, 76}, {25, 77}, {25, 88}, {25, 89}, {25, 91}, {25, 94}, {25, 96}, {25, 102}, {25, 103}, {25, 104}, {25, 105}, {25, 106}, {25, 111}, {25, 116}, {25, 124}, {25, 131}, {26, 3}, {26, 4}, {26, 9}, {26, 11}, {26, 16}, {26, 18}, {26, 23}, {26, 24}, {26, 27}, {26, 33}, {26, 51}, {26, 54}, {26, 57}, {26, 60}, {26, 61}, {26, 62}, {26, 63}, {26, 71}, {26, 73}, {26, 75}, {26, 77}, {26, 83}, {26, 89}, {26, 91}, {26, 93}, {26, 95}, {26, 103}, {26, 104}, {26, 105}, {26, 106}, {26, 109}, {26, 112}, {26, 115}, {26, 133}, {26, 139}, {29, 3}, {29, 11}, {29, 15}, {29, 19}, {29, 27}, {29, 33}, {29, 34}, {29, 40}, {29, 49}, {29, 54}, {29, 57}, {29, 59}, {29, 60}, {29, 63}, {29, 71}, {29, 73}, {29, 74}, {29, 75}, {29, 76}, {29, 83}, {29, 86}, {29, 93}, {29, 94}, {29, 95}, {29, 96}, {29, 98}, {29, 106}, {29, 109}, {29, 110}, {29, 112}, {29, 115}, {29, 120}, {29, 129}, {29, 135}, {29, 136}, {30, 3}, {30, 4}, {30, 9}, {30, 11}, {30, 13}, {30, 15}, {30, 16}, {30, 18}, {30, 20}, {30, 22}, {30, 27}, {30, 28}, {30, 34}, {30, 41}, {30, 54}, {30, 59}, {30, 60}, {30, 61}, {30, 71}, {30, 74}, {30, 75}, {30, 76}, {30, 77}, {30, 85}, {30, 93}, {30, 94}, {30, 95}, {30, 96}, {30, 99}, {30, 109}, {30, 110}, {30, 111}, {30, 116}, {30, 129}, {30, 136}, {31, 4}, {31, 9}, {31, 13}, {31, 16}, {31, 19}, {31, 23}, {31, 28}, {31, 40}, {31, 44}, {31, 51}, {31, 59}, {31, 60}, {31, 61}, {31, 62}, {31, 69}, {31, 73}, {31, 75}, {31, 76}, {31, 77}, {31, 83}, {31, 85}, {31, 86}, {31, 88}, {31, 94}, {31, 95}, {31, 96}, {31, 98}, {31, 102}, {31, 109}, {31, 110}, {31, 111}, {31, 112}, {31, 120}, {31, 127}, {31, 131}, {32, 9}, {32, 11}, {32, 13}, {32, 15}, {32, 18}, {32, 20}, {32, 22}, {32, 24}, {32, 33}, {32, 41}, {32, 57}, {32, 60}, {32, 61}, {32, 62}, {32, 63}, {32, 69}, {32, 73}, {32, 74}, {32, 76}, {32, 77}, {32, 83}, {32, 86}, {32, 89}, {32, 95}, {32, 96}, {32, 98}, {32, 99}, {32, 103}, {32, 109}, {32, 110}, {32, 111}, {32, 112}, {32, 115}, {32, 131}, {32, 139}, {35, 3}, {35, 9}, {35, 13}, {35, 16}, {35, 18}, {35, 20}, {35, 23}, {35, 27}, {35, 33}, {35, 40}, {35, 41}, {35, 44}, {35, 51}, {35, 59}, {35, 60}, {35, 63}, {35, 69}, {35, 71}, {35, 73}, {35, 76}, {35, 77}, {35, 86}, {35, 89}, {35, 98}, {35, 99}, {35, 102}, {35, 104}, {35, 106}, {35, 112}, {35, 115}, {35, 116}, {35, 124}, {35, 131}, {35, 134}, {35, 135}, {36, 3}, {36, 4}, {36, 9}, {36, 13}, {36, 15}, {36, 18}, {36, 19}, {36, 22}, {36, 24}, {36, 28}, {36, 33}, {36, 34}, {36, 40}, {36, 41}, {36, 49}, {36, 60}, {36, 61}, {36, 71}, {36, 73}, {36, 74}, {36, 77}, {36, 83}, {36, 85}, {36, 88}, {36, 91}, {36, 93}, {36, 99}, {36, 102}, {36, 103}, {36, 105}, {36, 115}, {36, 116}, {36, 127}, {36, 135}, {36, 136}, {37, 4}, {37, 11}, {37, 15}, {37, 16}, {37, 18}, {37, 19}, {37, 20}, {37, 22}, {37, 23}, {37, 27}, {37, 34}, {37, 41}, {37, 44}, {37, 57}, {37, 61}, {37, 62}, {37, 71}, {37, 73}, {37, 74}, {37, 75}, {37, 83}, {37, 86}, {37, 88}, {37, 89}, {37, 91}, {37, 94}, {37, 102}, {37, 103}, {37, 104}, {37, 106}, {37, 115}, {37, 116}, {37, 120}, {37, 133}, {37, 136}, {38, 11}, {38, 15}, {38, 16}, {38, 19}, {38, 20}, {38, 23}, {38, 24}, {38, 28}, {38, 44}, {38, 49}, {38, 51}, {38, 54}, {38, 62}, {38, 63}, {38, 69}, {38, 73}, {38, 74}, {38, 75}, {38, 76}, {38, 83}, {38, 85}, {38, 89}, {38, 93}, {38, 95}, {38, 102}, {38, 103}, {38, 104}, {38, 105}, {38, 109}, {38, 115}, {38, 116}, {38, 124}, {38, 127}, {38, 129}, {38, 134}, {39, 13}, {39, 16}, {39, 18}, {39, 20}, {39, 22}, {39, 24}, {39, 27}, {39, 40}, {39, 44}, {39, 59}, {39, 63}, {39, 69}, {39, 73}, {39, 74}, {39, 75}, {39, 76}, {39, 77}, {39, 83}, {39, 85}, {39, 86}, {39, 88}, {39, 91}, {39, 93}, {39, 94}, {39, 96}, {39, 102}, {39, 103}, {39, 104}, {39, 105}, {39, 106}, {39, 110}, {39, 116}, {39, 120}, {39, 135}, {39, 139}, {42, 3}, {42, 9}, {42, 15}, {42, 16}, {42, 19}, {42, 20}, {42, 23}, {42, 24}, {42, 27}, {42, 28}, {42, 34}, {42, 40}, {42, 49}, {42, 51}, {42, 62}, {42, 71}, {42, 73}, {42, 76}, {42, 77}, {42, 83}, {42, 86}, {42, 88}, {42, 89}, {42, 91}, {42, 93}, {42, 94}, {42, 96}, {42, 99}, {42, 105}, {42, 106}, {42, 109}, {42, 111}, {42, 120}, {42, 131}, {42, 133}, {43, 3}, {43, 4}, {43, 11}, {43, 16}, {43, 20}, {43, 22}, {43, 24}, {43, 28}, {43, 33}, {43, 40}, {43, 41}, {43, 44}, {43, 49}, {43, 54}, {43, 59}, {43, 63}, {43, 71}, {43, 73}, {43, 74}, {43, 77}, {43, 85}, {43, 88}, {43, 89}, {43, 94}, {43, 95}, {43, 98}, {43, 106}, {43, 109}, {43, 110}, {43, 112}, {43, 120}, {43, 124}, {43, 129}, {43, 134}, {43, 139}, {45, 13}, {45, 18}, {45, 19}, 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38}, {5, 45}, {5, 48}, {5, 53}, {5, 55}, {5, 58}, {5, 64}, {5, 65}, {5, 66}, {5, 67}, {5, 78}, {5, 79}, {5, 80}, {5, 81}, {5, 87}, {5, 90}, {5, 92}, {5, 97}, {5, 100}, {5, 107}, {5, 108}, {5, 113}, {5, 114}, {5, 119}, {5, 128}, {5, 137}, {5, 138}, {6, 2}, {6, 5}, {6, 8}, {6, 14}, {6, 21}, {6, 25}, {6, 29}, {6, 32}, {6, 38}, {6, 39}, {6, 45}, {6, 46}, {6, 56}, {6, 64}, {6, 65}, {6, 66}, {6, 67}, {6, 68}, {6, 78}, {6, 79}, {6, 80}, {6, 81}, {6, 82}, {6, 90}, {6, 100}, {6, 101}, {6, 107}, {6, 108}, {6, 114}, {6, 117}, {6, 121}, {6, 125}, {6, 132}, {6, 138}, {7, 2}, {7, 6}, {7, 10}, {7, 17}, {7, 21}, {7, 25}, {7, 26}, {7, 29}, {7, 30}, {7, 39}, {7, 46}, {7, 47}, {7, 50}, {7, 55}, {7, 65}, {7, 66}, {7, 67}, {7, 68}, {7, 79}, {7, 80}, {7, 81}, {7, 82}, {7, 92}, {7, 97}, {7, 100}, {7, 101}, {7, 108}, {7, 117}, {7, 118}, {7, 121}, {7, 122}, {7, 126}, {7, 130}, {7, 137}, {8, 2}, {8, 7}, {8, 10}, {8, 25}, {8, 26}, {8, 29}, {8, 30}, {8, 31}, {8, 35}, {8, 47}, {8, 48}, {8, 56}, {8, 58}, {8, 64}, 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21}, {138, 25}, {138, 26}, {138, 31}, {138, 32}, {138, 38}, {138, 39}, {138, 42}, {138, 47}, {138, 52}, {138, 55}, {138, 58}, {138, 67}, {138, 72}, {138, 81}, {138, 84}, {138, 87}, {138, 92}, {138, 97}, {138, 100}, {138, 101}, {138, 107}, {138, 108}, {138, 113}, {138, 114}, {138, 118}, {138, 122}, {138, 125}, {138, 132}, {138, 137}, {139, 3}, {139, 5}, {139, 6}, {139, 7}, {139, 15}, {139, 18}, {139, 19}, {139, 22}, {139, 23}, {139, 25}, {139, 27}, {139, 29}, {139, 30}, {139, 31}, {139, 33}, {139, 35}, {139, 36}, {139, 37}, {139, 38}, {139, 40}, {139, 42}, {139, 45}, {139, 46}, {139, 47}, {139, 52}, {139, 55}, {139, 59}, {139, 60}, {139, 61}, {139, 62}, {139, 64}, {139, 65}, {139, 66}, {139, 67}, {139, 73}, {139, 74}, {139, 75}, {139, 76}, {139, 78}, {139, 79}, {139, 80}, {139, 81}, {139, 85}, {139, 88}, {139, 93}, {139, 94}, {139, 95}, {139, 98}, {139, 100}, {139, 102}, {139, 103}, {139, 104}, {139, 105}, {139, 107}, {139, 109}, {139, 110}, {139, 111}, {139, 113}, {139, 115}, {139, 117}, {139, 118}, {139, 121}, {139, 122}, {139, 125}, {139, 133}, {139, 134}, {139, 135}, {139, 137}} -> ((-35*I)/657018)*(-I + Sqrt[139]) diff --git a/etf_75x151_6a.exa b/etf_75x151_6a.exa new file mode 100644 index 0000000..596edf7 --- /dev/null +++ b/etf_75x151_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {1, 108}, {1, 109}, {1, 110}, {1, 111}, {1, 112}, {1, 113}, {1, 114}, {1, 115}, {1, 116}, {1, 117}, {1, 118}, {1, 119}, {1, 120}, {1, 121}, {1, 122}, {1, 123}, {1, 124}, {1, 125}, {1, 126}, {1, 127}, {1, 128}, {1, 129}, {1, 130}, {1, 131}, {1, 132}, {1, 133}, {1, 134}, {1, 135}, {1, 136}, {1, 137}, {1, 138}, {1, 139}, {1, 140}, {1, 141}, {1, 142}, {1, 143}, {1, 144}, {1, 145}, {1, 146}, {1, 147}, {1, 148}, {1, 149}, {1, 150}, {1, 151}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 113}, {114, 1}, {114, 114}, {115, 1}, {115, 115}, {116, 1}, {116, 116}, {117, 1}, {117, 117}, {118, 1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}, {128, 1}, {128, 128}, {129, 1}, {129, 129}, {130, 1}, {130, 130}, {131, 1}, {131, 131}, {132, 1}, {132, 132}, {133, 1}, {133, 133}, {134, 1}, {134, 134}, {135, 1}, {135, 135}, {136, 1}, {136, 136}, {137, 1}, {137, 137}, {138, 1}, {138, 138}, {139, 1}, {139, 139}, {140, 1}, {140, 140}, {141, 1}, {141, 141}, {142, 1}, {142, 142}, {143, 1}, {143, 143}, {144, 1}, {144, 144}, {145, 1}, {145, 145}, {146, 1}, {146, 146}, {147, 1}, {147, 147}, {148, 1}, {148, 148}, {149, 1}, {149, 149}, {150, 1}, {150, 150}, {151, 1}, {151, 151}} -> 38/5625 +{{2, 4}, {2, 7}, {2, 13}, {2, 24}, {2, 27}, {2, 31}, {2, 34}, {2, 36}, {2, 42}, {2, 47}, {2, 49}, {2, 52}, {2, 57}, {2, 61}, {2, 64}, {2, 66}, {2, 71}, {2, 74}, {2, 76}, {2, 78}, {2, 80}, {2, 83}, {2, 88}, {2, 90}, {2, 93}, {2, 97}, {2, 102}, {2, 105}, {2, 107}, {2, 112}, {2, 118}, {2, 120}, {2, 123}, {2, 127}, {2, 130}, {2, 141}, {2, 147}, {2, 150}, {3, 4}, {3, 7}, {3, 8}, {3, 13}, {3, 14}, {3, 24}, {3, 25}, {3, 28}, {3, 34}, {3, 42}, {3, 47}, {3, 52}, {3, 53}, {3, 58}, {3, 61}, {3, 62}, {3, 67}, {3, 71}, {3, 72}, {3, 83}, {3, 84}, {3, 88}, {3, 93}, {3, 94}, {3, 97}, {3, 102}, {3, 103}, {3, 108}, {3, 113}, {3, 121}, {3, 127}, {3, 130}, {3, 131}, {3, 141}, {3, 142}, {3, 147}, {3, 148}, {3, 151}, {5, 7}, {5, 13}, {5, 14}, {5, 15}, {5, 16}, {5, 24}, {5, 25}, {5, 27}, {5, 34}, {5, 36}, {5, 42}, {5, 47}, {5, 49}, {5, 52}, {5, 54}, {5, 55}, {5, 64}, {5, 67}, {5, 74}, {5, 83}, {5, 90}, {5, 93}, {5, 102}, {5, 103}, {5, 105}, {5, 108}, {5, 110}, {5, 115}, {5, 121}, {5, 123}, {5, 130}, {5, 132}, {5, 133}, {5, 141}, {5, 142}, {5, 143}, {5, 144}, {5, 150}, {6, 7}, {6, 8}, {6, 14}, {6, 15}, {6, 16}, {6, 24}, {6, 25}, {6, 27}, {6, 28}, {6, 31}, {6, 42}, {6, 49}, {6, 53}, {6, 55}, {6, 61}, {6, 64}, {6, 68}, {6, 74}, {6, 78}, {6, 80}, {6, 84}, {6, 90}, {6, 94}, {6, 97}, {6, 103}, {6, 105}, {6, 109}, {6, 116}, {6, 127}, {6, 130}, {6, 131}, {6, 133}, {6, 134}, {6, 142}, {6, 143}, {6, 144}, {6, 150}, {6, 151}, {9, 13}, {9, 14}, {9, 25}, {9, 27}, {9, 28}, {9, 29}, {9, 31}, {9, 34}, {9, 47}, {9, 49}, {9, 52}, {9, 53}, {9, 54}, {9, 58}, {9, 64}, {9, 67}, {9, 68}, {9, 71}, {9, 78}, {9, 83}, {9, 90}, {9, 93}, {9, 94}, {9, 97}, {9, 103}, {9, 107}, {9, 108}, {9, 109}, {9, 112}, {9, 114}, {9, 127}, {9, 130}, {9, 132}, {9, 133}, {9, 134}, {9, 136}, {9, 147}, {9, 148}, {10, 4}, {10, 7}, {10, 14}, {10, 15}, {10, 27}, {10, 28}, {10, 29}, {10, 31}, {10, 42}, {10, 47}, {10, 49}, {10, 52}, {10, 53}, {10, 54}, {10, 55}, {10, 57}, {10, 68}, {10, 72}, {10, 74}, {10, 78}, {10, 84}, {10, 88}, {10, 90}, {10, 94}, {10, 105}, {10, 107}, {10, 108}, {10, 109}, {10, 110}, {10, 113}, {10, 115}, {10, 120}, {10, 131}, {10, 133}, {10, 134}, {10, 135}, {10, 147}, {10, 148}, {11, 4}, {11, 8}, {11, 13}, {11, 15}, {11, 16}, {11, 27}, {11, 28}, {11, 29}, {11, 31}, {11, 36}, {11, 42}, {11, 47}, {11, 49}, {11, 53}, {11, 54}, {11, 55}, {11, 58}, {11, 61}, {11, 66}, {11, 80}, {11, 83}, {11, 97}, {11, 102}, {11, 105}, {11, 108}, {11, 109}, {11, 110}, {11, 114}, {11, 116}, {11, 121}, {11, 127}, {11, 132}, {11, 134}, {11, 135}, {11, 136}, {11, 147}, {11, 148}, {11, 150}, {12, 13}, {12, 14}, {12, 16}, {12, 28}, {12, 29}, {12, 31}, {12, 34}, {12, 49}, {12, 52}, {12, 54}, {12, 55}, {12, 57}, {12, 61}, {12, 62}, {12, 67}, {12, 71}, {12, 74}, {12, 76}, {12, 80}, {12, 84}, {12, 88}, {12, 90}, {12, 93}, {12, 97}, {12, 102}, {12, 103}, {12, 107}, {12, 109}, {12, 110}, {12, 112}, {12, 115}, {12, 130}, {12, 133}, {12, 135}, {12, 136}, {12, 148}, {12, 150}, {12, 151}, {17, 4}, {17, 14}, {17, 25}, {17, 27}, {17, 28}, {17, 34}, {17, 36}, {17, 42}, {17, 49}, {17, 53}, {17, 54}, {17, 55}, {17, 57}, {17, 61}, {17, 62}, {17, 64}, {17, 66}, {17, 67}, {17, 72}, {17, 76}, {17, 93}, {17, 97}, {17, 102}, {17, 103}, {17, 105}, {17, 107}, {17, 108}, {17, 112}, {17, 114}, {17, 115}, {17, 116}, {17, 120}, {17, 127}, {17, 133}, {17, 135}, {17, 141}, {17, 142}, {17, 144}, {18, 4}, {18, 15}, {18, 27}, {18, 28}, {18, 29}, {18, 34}, {18, 36}, {18, 47}, {18, 49}, {18, 52}, {18, 54}, {18, 55}, {18, 57}, {18, 58}, {18, 61}, {18, 62}, {18, 67}, {18, 68}, {18, 76}, {18, 80}, {18, 90}, {18, 94}, {18, 102}, {18, 103}, {18, 108}, {18, 109}, {18, 112}, {18, 113}, {18, 115}, {18, 116}, {18, 118}, {18, 121}, {18, 123}, {18, 134}, {18, 136}, {18, 141}, {18, 142}, {18, 143}, {19, 4}, {19, 7}, {19, 13}, {19, 16}, {19, 24}, {19, 27}, {19, 28}, {19, 29}, {19, 36}, {19, 53}, {19, 55}, {19, 57}, {19, 58}, {19, 61}, {19, 62}, {19, 64}, {19, 66}, {19, 68}, {19, 74}, {19, 78}, {19, 83}, {19, 88}, {19, 93}, {19, 97}, {19, 103}, {19, 105}, {19, 107}, {19, 109}, {19, 110}, {19, 113}, {19, 114}, {19, 116}, {19, 118}, {19, 135}, {19, 142}, {19, 143}, {19, 144}, {19, 147}, {20, 7}, {20, 8}, {20, 13}, {20, 14}, {20, 24}, {20, 25}, {20, 28}, {20, 29}, {20, 31}, {20, 36}, {20, 42}, {20, 49}, {20, 52}, {20, 54}, {20, 57}, {20, 58}, {20, 62}, {20, 64}, {20, 67}, {20, 78}, {20, 84}, {20, 88}, {20, 94}, {20, 105}, {20, 108}, {20, 110}, {20, 114}, {20, 115}, {20, 118}, {20, 120}, {20, 123}, {20, 130}, {20, 136}, {20, 141}, {20, 143}, {20, 144}, {20, 147}, {20, 148}, {21, 7}, {21, 8}, {21, 14}, {21, 15}, {21, 25}, {21, 29}, {21, 31}, {21, 42}, {21, 52}, {21, 53}, {21, 55}, {21, 57}, {21, 58}, {21, 61}, {21, 64}, {21, 66}, {21, 68}, {21, 71}, {21, 76}, {21, 80}, {21, 83}, {21, 90}, {21, 93}, {21, 97}, {21, 102}, {21, 105}, {21, 107}, {21, 109}, {21, 112}, {21, 115}, {21, 116}, {21, 118}, {21, 120}, {21, 121}, {21, 131}, {21, 142}, {21, 144}, {21, 148}, {22, 7}, {22, 8}, {22, 15}, {22, 16}, {22, 24}, {22, 27}, {22, 31}, {22, 42}, {22, 47}, {22, 53}, {22, 54}, {22, 58}, {22, 61}, {22, 62}, {22, 64}, {22, 66}, {22, 67}, {22, 71}, {22, 72}, {22, 80}, {22, 84}, {22, 90}, {22, 94}, {22, 102}, {22, 103}, {22, 107}, {22, 108}, {22, 110}, {22, 112}, {22, 113}, {22, 116}, {22, 120}, {22, 121}, {22, 127}, {22, 132}, {22, 143}, {22, 147}, {22, 150}, {23, 8}, {23, 16}, {23, 24}, {23, 25}, {23, 27}, {23, 28}, {23, 31}, {23, 34}, {23, 42}, {23, 52}, {23, 54}, {23, 55}, {23, 57}, {23, 61}, {23, 62}, {23, 66}, {23, 67}, {23, 68}, {23, 72}, {23, 78}, {23, 97}, {23, 103}, {23, 107}, {23, 108}, {23, 109}, {23, 113}, {23, 114}, {23, 118}, {23, 120}, {23, 121}, {23, 123}, {23, 133}, {23, 141}, {23, 144}, {23, 147}, {23, 148}, {23, 150}, {23, 151}, {26, 13}, {26, 14}, {26, 27}, {26, 28}, {26, 31}, {26, 34}, {26, 36}, {26, 42}, {26, 47}, {26, 55}, {26, 57}, {26, 58}, {26, 62}, {26, 64}, {26, 66}, {26, 68}, {26, 71}, {26, 76}, {26, 84}, {26, 88}, {26, 90}, {26, 94}, {26, 102}, {26, 107}, {26, 110}, {26, 112}, {26, 114}, {26, 116}, {26, 120}, {26, 121}, {26, 123}, {26, 131}, {26, 136}, {26, 142}, {26, 144}, {26, 147}, {26, 150}, {26, 151}, {30, 4}, {30, 7}, {30, 15}, {30, 16}, {30, 24}, {30, 27}, {30, 31}, {30, 34}, {30, 47}, {30, 49}, {30, 52}, {30, 55}, {30, 61}, {30, 62}, {30, 64}, {30, 66}, {30, 67}, {30, 68}, {30, 72}, {30, 74}, {30, 80}, {30, 88}, {30, 94}, {30, 102}, {30, 108}, {30, 110}, {30, 114}, {30, 115}, {30, 116}, {30, 118}, {30, 120}, {30, 121}, {30, 127}, {30, 130}, {30, 133}, {30, 135}, {30, 148}, {30, 151}, {32, 4}, {32, 8}, {32, 25}, {32, 29}, {32, 34}, {32, 36}, {32, 42}, {32, 49}, {32, 52}, {32, 53}, {32, 54}, {32, 57}, {32, 61}, {32, 64}, {32, 66}, {32, 68}, {32, 71}, {32, 72}, {32, 74}, {32, 76}, {32, 90}, {32, 94}, {32, 108}, {32, 110}, {32, 112}, {32, 113}, {32, 116}, {32, 118}, {32, 120}, {32, 123}, {32, 127}, {32, 130}, {32, 131}, {32, 132}, {32, 135}, {32, 142}, {32, 148}, {32, 150}, {33, 7}, {33, 27}, {33, 34}, {33, 42}, {33, 49}, {33, 52}, {33, 53}, {33, 54}, {33, 55}, {33, 58}, {33, 62}, {33, 64}, {33, 67}, {33, 71}, {33, 72}, {33, 76}, {33, 78}, {33, 80}, {33, 83}, {33, 88}, {33, 97}, {33, 102}, {33, 105}, {33, 107}, {33, 109}, {33, 113}, {33, 114}, {33, 118}, {33, 121}, {33, 123}, {33, 127}, {33, 130}, {33, 131}, {33, 132}, {33, 133}, {33, 136}, {33, 143}, {33, 151}, {35, 7}, {35, 8}, {35, 28}, {35, 29}, {35, 36}, {35, 52}, {35, 53}, {35, 54}, {35, 55}, {35, 57}, {35, 64}, {35, 66}, {35, 67}, {35, 71}, {35, 72}, {35, 74}, {35, 78}, {35, 80}, {35, 84}, {35, 90}, {35, 93}, {35, 94}, {35, 97}, {35, 103}, {35, 107}, {35, 109}, {35, 113}, {35, 115}, {35, 116}, {35, 120}, {35, 121}, {35, 123}, {35, 130}, {35, 132}, {35, 133}, {35, 134}, {35, 135}, {35, 151}, {37, 4}, {37, 7}, {37, 13}, {37, 14}, {37, 24}, {37, 25}, {37, 31}, {37, 34}, {37, 42}, {37, 47}, {37, 53}, {37, 54}, {37, 55}, {37, 57}, {37, 58}, {37, 62}, {37, 66}, {37, 68}, {37, 71}, {37, 74}, {37, 76}, {37, 80}, {37, 84}, {37, 105}, {37, 109}, {37, 113}, {37, 115}, {37, 118}, {37, 121}, {37, 123}, {37, 127}, {37, 131}, {37, 132}, {37, 134}, {37, 135}, {37, 136}, {37, 142}, {37, 147}, {38, 8}, {38, 14}, {38, 15}, {38, 24}, {38, 25}, {38, 31}, {38, 42}, {38, 47}, {38, 49}, {38, 54}, {38, 55}, {38, 57}, {38, 58}, {38, 67}, {38, 72}, {38, 74}, {38, 76}, {38, 78}, {38, 80}, {38, 83}, {38, 88}, {38, 93}, 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69}, {142, 74}, {142, 75}, {142, 77}, {142, 78}, {142, 79}, {142, 80}, {142, 81}, {142, 82}, {142, 83}, {142, 84}, {142, 85}, {142, 86}, {142, 89}, {142, 91}, {142, 93}, {142, 96}, {142, 97}, {142, 101}, {142, 102}, {142, 103}, {142, 105}, {142, 108}, {142, 110}, {142, 113}, {142, 119}, {142, 120}, {142, 121}, {142, 123}, {142, 128}, {142, 129}, {142, 131}, {142, 132}, {142, 133}, {142, 134}, {142, 139}, {142, 141}, {142, 146}, {142, 148}, {143, 2}, {143, 3}, {143, 4}, {143, 7}, {143, 9}, {143, 10}, {143, 11}, {143, 12}, {143, 15}, {143, 16}, {143, 17}, {143, 21}, {143, 23}, {143, 25}, {143, 26}, {143, 27}, {143, 30}, {143, 32}, {143, 35}, {143, 37}, {143, 39}, {143, 41}, {143, 49}, {143, 50}, {143, 51}, {143, 52}, {143, 53}, {143, 55}, {143, 56}, {143, 57}, {143, 58}, {143, 60}, {143, 62}, {143, 67}, {143, 70}, {143, 71}, {143, 73}, {143, 74}, {143, 77}, {143, 82}, {143, 84}, {143, 86}, {143, 87}, {143, 88}, {143, 89}, {143, 91}, {143, 92}, {143, 93}, {143, 94}, {143, 95}, {143, 103}, {143, 105}, {143, 107}, {143, 109}, {143, 112}, {143, 114}, {143, 117}, {143, 118}, {143, 119}, {143, 121}, {143, 123}, {143, 127}, {143, 128}, {143, 129}, {143, 132}, {143, 133}, {143, 134}, {143, 135}, {143, 137}, {143, 140}, {143, 141}, {143, 142}, {143, 145}, {143, 150}, {144, 2}, {144, 3}, {144, 7}, {144, 8}, {144, 9}, {144, 10}, {144, 11}, {144, 12}, {144, 16}, {144, 18}, {144, 22}, {144, 28}, {144, 30}, {144, 32}, {144, 33}, {144, 34}, {144, 35}, {144, 37}, {144, 38}, {144, 40}, {144, 43}, {144, 47}, {144, 48}, {144, 49}, {144, 51}, {144, 53}, {144, 54}, {144, 58}, {144, 64}, {144, 65}, {144, 66}, {144, 68}, {144, 69}, {144, 72}, {144, 73}, {144, 76}, {144, 77}, {144, 79}, {144, 80}, {144, 81}, {144, 87}, {144, 91}, {144, 92}, {144, 94}, {144, 96}, {144, 97}, {144, 98}, {144, 102}, {144, 105}, {144, 107}, {144, 108}, {144, 110}, {144, 111}, {144, 112}, {144, 113}, {144, 115}, {144, 117}, {144, 123}, {144, 127}, {144, 129}, {144, 133}, {144, 134}, {144, 135}, {144, 136}, {144, 137}, {144, 138}, {144, 142}, {144, 143}, {144, 145}, {144, 146}, {144, 147}, {144, 149}, {144, 150}, {144, 151}, {145, 6}, {145, 9}, {145, 17}, {145, 18}, {145, 20}, {145, 21}, {145, 22}, {145, 35}, {145, 40}, {145, 45}, {145, 46}, {145, 48}, {145, 50}, {145, 51}, {145, 59}, {145, 60}, {145, 65}, {145, 69}, {145, 73}, {145, 77}, {145, 81}, {145, 86}, {145, 87}, {145, 95}, {145, 96}, {145, 98}, {145, 100}, {145, 101}, {145, 106}, {145, 111}, {145, 124}, {145, 125}, {145, 126}, {145, 128}, {145, 129}, {145, 137}, {145, 140}, {146, 2}, {146, 9}, {146, 10}, {146, 18}, {146, 19}, {146, 21}, {146, 22}, {146, 23}, {146, 30}, {146, 41}, {146, 43}, {146, 46}, {146, 48}, {146, 51}, {146, 56}, {146, 60}, {146, 65}, {146, 70}, {146, 77}, {146, 82}, {146, 87}, {146, 91}, {146, 96}, {146, 99}, {146, 101}, {146, 104}, {146, 106}, {146, 117}, {146, 124}, {146, 125}, {146, 126}, {146, 128}, {146, 129}, {146, 137}, {146, 138}, {146, 145}, {146, 149}, {147, 5}, {147, 6}, {147, 8}, {147, 12}, {147, 17}, {147, 18}, {147, 21}, {147, 24}, {147, 29}, {147, 30}, {147, 31}, {147, 32}, {147, 33}, {147, 35}, {147, 38}, {147, 39}, {147, 40}, {147, 41}, {147, 42}, {147, 43}, {147, 45}, {147, 46}, {147, 47}, {147, 49}, {147, 51}, {147, 52}, {147, 53}, {147, 57}, {147, 60}, {147, 61}, {147, 62}, {147, 65}, {147, 66}, {147, 67}, {147, 70}, {147, 71}, {147, 77}, {147, 78}, {147, 81}, {147, 82}, {147, 83}, {147, 86}, {147, 87}, {147, 88}, {147, 91}, {147, 95}, {147, 96}, {147, 97}, {147, 99}, {147, 101}, {147, 102}, {147, 103}, {147, 105}, {147, 106}, {147, 107}, {147, 108}, {147, 109}, {147, 110}, {147, 113}, {147, 115}, {147, 116}, {147, 117}, {147, 118}, {147, 119}, {147, 124}, {147, 127}, {147, 130}, {147, 131}, {147, 136}, {147, 140}, {147, 142}, {147, 143}, {147, 149}, {147, 150}, {148, 2}, {148, 4}, {148, 5}, {148, 6}, {148, 17}, {148, 18}, {148, 19}, {148, 22}, {148, 24}, {148, 25}, {148, 26}, {148, 27}, {148, 33}, {148, 35}, {148, 37}, {148, 39}, {148, 40}, {148, 41}, {148, 44}, {148, 46}, {148, 49}, {148, 53}, {148, 54}, {148, 56}, {148, 57}, {148, 58}, {148, 59}, {148, 62}, {148, 64}, {148, 65}, {148, 67}, {148, 68}, {148, 69}, {148, 72}, {148, 73}, {148, 74}, {148, 75}, {148, 76}, {148, 77}, {148, 80}, {148, 81}, {148, 82}, {148, 84}, {148, 85}, {148, 87}, {148, 90}, {148, 91}, {148, 92}, {148, 93}, {148, 95}, {148, 96}, {148, 100}, {148, 103}, {148, 105}, {148, 108}, {148, 109}, {148, 110}, {148, 112}, {148, 114}, {148, 116}, {148, 122}, {148, 123}, {148, 124}, {148, 125}, {148, 127}, {148, 130}, {148, 131}, {148, 132}, {148, 143}, {148, 144}, {148, 145}, {148, 147}, {148, 149}, {148, 151}, {149, 5}, {149, 10}, {149, 11}, {149, 12}, {149, 21}, {149, 22}, {149, 26}, {149, 33}, {149, 39}, {149, 44}, {149, 46}, {149, 50}, {149, 51}, {149, 59}, {149, 63}, {149, 65}, {149, 69}, {149, 73}, {149, 75}, {149, 77}, {149, 81}, {149, 85}, {149, 87}, {149, 91}, {149, 99}, {149, 100}, {149, 104}, {149, 106}, {149, 111}, {149, 117}, {149, 124}, {149, 128}, {149, 129}, {149, 138}, {149, 139}, {149, 140}, {149, 145}, {150, 3}, {150, 9}, {150, 10}, {150, 13}, {150, 14}, {150, 17}, {150, 18}, {150, 19}, {150, 20}, {150, 21}, {150, 25}, {150, 27}, {150, 29}, {150, 30}, {150, 33}, {150, 34}, {150, 35}, {150, 37}, {150, 38}, {150, 39}, {150, 41}, {150, 43}, {150, 44}, {150, 46}, {150, 47}, {150, 48}, {150, 52}, {150, 53}, {150, 55}, {150, 62}, {150, 63}, {150, 64}, {150, 66}, {150, 72}, {150, 73}, {150, 74}, {150, 75}, {150, 76}, {150, 77}, {150, 78}, {150, 79}, {150, 85}, {150, 87}, {150, 88}, {150, 89}, {150, 96}, {150, 98}, {150, 99}, {150, 103}, {150, 104}, {150, 105}, {150, 107}, {150, 108}, {150, 110}, {150, 112}, {150, 113}, {150, 114}, {150, 116}, {150, 117}, {150, 118}, {150, 121}, {150, 122}, {150, 124}, {150, 126}, {150, 130}, {150, 131}, {150, 132}, {150, 133}, {150, 134}, {150, 137}, {150, 138}, {150, 141}, {150, 142}, {150, 148}, {151, 2}, {151, 5}, {151, 7}, {151, 9}, {151, 10}, {151, 11}, {151, 13}, {151, 14}, {151, 15}, {151, 17}, {151, 18}, {151, 19}, {151, 20}, {151, 21}, {151, 22}, {151, 24}, {151, 27}, {151, 28}, {151, 32}, {151, 37}, {151, 38}, {151, 39}, {151, 40}, {151, 43}, {151, 44}, {151, 45}, {151, 50}, {151, 52}, {151, 53}, {151, 54}, {151, 57}, {151, 59}, {151, 61}, {151, 66}, {151, 67}, {151, 69}, {151, 71}, {151, 81}, {151, 83}, {151, 85}, {151, 86}, {151, 91}, {151, 93}, {151, 95}, {151, 98}, {151, 99}, {151, 100}, {151, 102}, {151, 107}, {151, 108}, {151, 109}, {151, 112}, {151, 113}, {151, 114}, {151, 115}, {151, 120}, {151, 124}, {151, 125}, {151, 128}, {151, 130}, {151, 131}, {151, 132}, {151, 133}, {151, 134}, {151, 135}, {151, 137}, {151, 138}, {151, 139}, {151, 141}, {151, 142}, {151, 143}, {151, 145}, {151, 147}, {151, 150}} -> ((-19*I)/421875)*(-I + Sqrt[151]) diff --git a/etf_81x163_6a.exa b/etf_81x163_6a.exa new file mode 100644 index 0000000..845778d --- /dev/null +++ b/etf_81x163_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {1, 108}, {1, 109}, {1, 110}, {1, 111}, {1, 112}, {1, 113}, {1, 114}, {1, 115}, {1, 116}, {1, 117}, {1, 118}, {1, 119}, {1, 120}, {1, 121}, {1, 122}, {1, 123}, {1, 124}, {1, 125}, {1, 126}, {1, 127}, {1, 128}, {1, 129}, {1, 130}, {1, 131}, {1, 132}, {1, 133}, {1, 134}, {1, 135}, {1, 136}, {1, 137}, {1, 138}, {1, 139}, {1, 140}, {1, 141}, {1, 142}, {1, 143}, {1, 144}, {1, 145}, {1, 146}, {1, 147}, {1, 148}, {1, 149}, {1, 150}, {1, 151}, {1, 152}, {1, 153}, {1, 154}, {1, 155}, {1, 156}, {1, 157}, {1, 158}, {1, 159}, {1, 160}, {1, 161}, {1, 162}, {1, 163}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 113}, {114, 1}, {114, 114}, {115, 1}, {115, 115}, {116, 1}, {116, 116}, {117, 1}, {117, 117}, {118, 1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}, {128, 1}, {128, 128}, {129, 1}, {129, 129}, {130, 1}, {130, 130}, {131, 1}, {131, 131}, {132, 1}, {132, 132}, {133, 1}, {133, 133}, {134, 1}, {134, 134}, {135, 1}, {135, 135}, {136, 1}, {136, 136}, {137, 1}, {137, 137}, {138, 1}, {138, 138}, {139, 1}, {139, 139}, {140, 1}, {140, 140}, {141, 1}, {141, 141}, {142, 1}, {142, 142}, {143, 1}, {143, 143}, {144, 1}, {144, 144}, {145, 1}, {145, 145}, {146, 1}, {146, 146}, {147, 1}, {147, 147}, {148, 1}, {148, 148}, {149, 1}, {149, 149}, {150, 1}, {150, 150}, {151, 1}, {151, 151}, {152, 1}, {152, 152}, {153, 1}, {153, 153}, {154, 1}, {154, 154}, {155, 1}, {155, 155}, {156, 1}, {156, 156}, {157, 1}, {157, 157}, {158, 1}, {158, 158}, {159, 1}, {159, 159}, {160, 1}, {160, 160}, {161, 1}, {161, 161}, {162, 1}, {162, 162}, {163, 1}, {163, 163}} -> 41/6561 +{{2, 3}, {2, 6}, {2, 8}, {2, 12}, {2, 18}, {2, 24}, {2, 28}, {2, 38}, {2, 43}, {2, 45}, {2, 49}, {2, 51}, {2, 53}, {2, 60}, {2, 64}, {2, 67}, {2, 71}, {2, 73}, {2, 76}, {2, 79}, {2, 83}, {2, 87}, {2, 90}, {2, 93}, {2, 95}, {2, 99}, {2, 102}, {2, 106}, {2, 113}, {2, 115}, {2, 117}, {2, 121}, {2, 123}, {2, 128}, {2, 138}, {2, 142}, {2, 148}, {2, 154}, {2, 158}, {2, 160}, {2, 163}, {5, 3}, {5, 6}, {5, 9}, {5, 14}, {5, 19}, {5, 20}, {5, 21}, {5, 29}, {5, 30}, {5, 31}, {5, 38}, {5, 43}, {5, 45}, {5, 46}, {5, 51}, {5, 60}, {5, 67}, {5, 69}, {5, 74}, {5, 76}, {5, 79}, {5, 90}, {5, 93}, {5, 95}, {5, 100}, {5, 102}, {5, 109}, {5, 118}, {5, 123}, {5, 124}, {5, 126}, {5, 131}, {5, 138}, {5, 139}, {5, 140}, {5, 148}, {5, 149}, {5, 150}, {5, 155}, {5, 160}, {5, 163}, {7, 4}, {7, 8}, {7, 13}, {7, 21}, {7, 28}, {7, 29}, {7, 31}, {7, 32}, {7, 33}, {7, 43}, {7, 45}, {7, 46}, {7, 53}, {7, 60}, {7, 64}, {7, 67}, {7, 68}, {7, 69}, {7, 71}, {7, 76}, {7, 81}, {7, 90}, {7, 95}, {7, 100}, {7, 102}, {7, 103}, {7, 104}, {7, 107}, {7, 111}, {7, 118}, {7, 125}, {7, 126}, {7, 128}, {7, 138}, {7, 139}, {7, 140}, {7, 142}, {7, 143}, {7, 150}, {7, 158}, {7, 163}, {10, 3}, {10, 8}, {10, 14}, {10, 19}, {10, 20}, {10, 24}, {10, 31}, {10, 32}, {10, 43}, {10, 45}, {10, 46}, {10, 49}, {10, 51}, {10, 53}, {10, 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((-41*I)/1062882)*(-I + Sqrt[163]) diff --git a/etf_83x167_6a.exa b/etf_83x167_6a.exa new file mode 100644 index 0000000..82918ef --- /dev/null +++ b/etf_83x167_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 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1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}, {128, 1}, {128, 128}, {129, 1}, {129, 129}, {130, 1}, {130, 130}, {131, 1}, {131, 131}, {132, 1}, {132, 132}, {133, 1}, {133, 133}, {134, 1}, {134, 134}, {135, 1}, {135, 135}, {136, 1}, {136, 136}, {137, 1}, {137, 137}, {138, 1}, {138, 138}, {139, 1}, {139, 139}, {140, 1}, {140, 140}, {141, 1}, {141, 141}, {142, 1}, {142, 142}, {143, 1}, {143, 143}, {144, 1}, {144, 144}, {145, 1}, {145, 145}, {146, 1}, {146, 146}, {147, 1}, {147, 147}, {148, 1}, {148, 148}, {149, 1}, {149, 149}, {150, 1}, {150, 150}, {151, 1}, {151, 151}, {152, 1}, {152, 152}, {153, 1}, {153, 153}, {154, 1}, {154, 154}, {155, 1}, {155, 155}, {156, 1}, {156, 156}, {157, 1}, {157, 157}, {158, 1}, {158, 158}, {159, 1}, {159, 159}, {160, 1}, {160, 160}, {161, 1}, {161, 161}, {162, 1}, {162, 162}, {163, 1}, {163, 163}, {164, 1}, {164, 164}, {165, 1}, {165, 165}, {166, 1}, {166, 166}, {167, 1}, {167, 167}} -> 42/6889 +{{2, 6}, {2, 11}, {2, 14}, {2, 16}, {2, 18}, {2, 21}, {2, 24}, {2, 27}, {2, 31}, {2, 35}, {2, 38}, {2, 40}, {2, 44}, {2, 46}, {2, 52}, {2, 56}, {2, 60}, {2, 68}, {2, 74}, {2, 79}, {2, 83}, {2, 87}, {2, 91}, {2, 96}, {2, 102}, {2, 110}, {2, 114}, {2, 118}, {2, 124}, {2, 126}, {2, 130}, {2, 132}, {2, 135}, {2, 139}, {2, 143}, {2, 146}, {2, 149}, {2, 152}, {2, 154}, {2, 156}, {2, 159}, {2, 164}, {3, 6}, {3, 11}, {3, 14}, {3, 21}, {3, 24}, {3, 27}, {3, 31}, {3, 35}, {3, 36}, {3, 41}, {3, 47}, {3, 52}, {3, 53}, {3, 60}, {3, 61}, {3, 68}, {3, 69}, {3, 75}, {3, 79}, {3, 80}, {3, 84}, {3, 87}, {3, 91}, {3, 92}, {3, 96}, {3, 102}, {3, 103}, {3, 110}, {3, 111}, {3, 118}, {3, 119}, {3, 124}, {3, 130}, {3, 135}, {3, 136}, {3, 140}, {3, 144}, {3, 147}, {3, 150}, {3, 157}, {3, 160}, {3, 165}, {4, 6}, {4, 11}, {4, 16}, {4, 18}, {4, 31}, {4, 35}, {4, 36}, {4, 40}, {4, 42}, {4, 46}, {4, 52}, {4, 53}, {4, 54}, {4, 60}, {4, 61}, {4, 68}, {4, 69}, {4, 70}, {4, 79}, {4, 80}, {4, 81}, {4, 91}, {4, 92}, {4, 93}, {4, 102}, {4, 103}, {4, 104}, {4, 111}, {4, 112}, {4, 118}, {4, 119}, {4, 120}, {4, 126}, {4, 130}, {4, 132}, {4, 136}, {4, 137}, {4, 141}, {4, 154}, {4, 156}, {4, 161}, {4, 166}, {5, 6}, {5, 11}, {5, 14}, {5, 16}, {5, 21}, {5, 24}, {5, 27}, {5, 36}, {5, 38}, {5, 41}, {5, 47}, {5, 52}, {5, 53}, {5, 54}, {5, 61}, {5, 68}, {5, 69}, {5, 70}, {5, 71}, {5, 80}, {5, 81}, {5, 92}, {5, 93}, {5, 102}, {5, 103}, {5, 104}, {5, 105}, {5, 112}, {5, 119}, {5, 120}, {5, 121}, {5, 126}, {5, 132}, {5, 135}, {5, 137}, {5, 146}, {5, 149}, {5, 152}, {5, 157}, {5, 159}, {5, 162}, {5, 167}, {7, 11}, {7, 14}, {7, 16}, {7, 18}, {7, 21}, {7, 31}, {7, 35}, {7, 36}, {7, 38}, {7, 40}, {7, 54}, {7, 56}, {7, 61}, {7, 68}, {7, 69}, {7, 70}, {7, 71}, {7, 72}, {7, 79}, {7, 83}, {7, 84}, {7, 91}, {7, 92}, {7, 96}, {7, 103}, {7, 104}, {7, 105}, {7, 106}, {7, 107}, {7, 114}, {7, 119}, {7, 121}, {7, 135}, {7, 137}, {7, 139}, {7, 140}, {7, 144}, {7, 154}, {7, 157}, {7, 159}, {7, 161}, {7, 164}, {8, 11}, {8, 14}, {8, 16}, {8, 24}, {8, 27}, {8, 35}, {8, 36}, {8, 40}, {8, 41}, {8, 44}, {8, 46}, {8, 52}, {8, 56}, {8, 69}, {8, 70}, {8, 71}, {8, 72}, {8, 74}, {8, 80}, {8, 83}, {8, 84}, {8, 92}, {8, 93}, {8, 96}, {8, 102}, {8, 104}, {8, 105}, {8, 106}, {8, 107}, {8, 120}, {8, 124}, {8, 130}, {8, 132}, {8, 135}, {8, 136}, {8, 140}, {8, 141}, {8, 149}, {8, 152}, {8, 160}, {8, 162}, {8, 165}, {9, 11}, {9, 16}, {9, 18}, {9, 21}, {9, 27}, {9, 31}, {9, 36}, {9, 38}, {9, 40}, {9, 41}, {9, 42}, {9, 47}, {9, 53}, {9, 56}, {9, 70}, {9, 71}, {9, 72}, {9, 74}, {9, 75}, {9, 81}, {9, 84}, {9, 93}, {9, 96}, {9, 102}, {9, 103}, {9, 105}, {9, 106}, {9, 107}, {9, 121}, {9, 124}, {9, 130}, {9, 135}, {9, 136}, {9, 137}, {9, 139}, {9, 141}, {9, 146}, {9, 150}, {9, 156}, {9, 159}, {9, 161}, {9, 166}, {10, 11}, {10, 14}, {10, 16}, {10, 18}, {10, 21}, {10, 24}, {10, 31}, {10, 35}, {10, 38}, {10, 41}, {10, 42}, {10, 46}, {10, 52}, {10, 54}, {10, 60}, {10, 68}, {10, 71}, {10, 72}, {10, 74}, {10, 75}, {10, 87}, {10, 91}, {10, 103}, {10, 104}, {10, 106}, {10, 107}, {10, 110}, {10, 118}, {10, 124}, {10, 126}, {10, 132}, {10, 136}, {10, 137}, {10, 140}, {10, 143}, {10, 147}, {10, 154}, {10, 157}, {10, 160}, {10, 162}, {10, 164}, {10, 167}, {12, 14}, {12, 16}, {12, 18}, {12, 21}, {12, 24}, {12, 31}, {12, 36}, {12, 40}, {12, 41}, {12, 44}, {12, 54}, {12, 56}, {12, 60}, {12, 61}, {12, 68}, {12, 69}, {12, 70}, {12, 74}, {12, 75}, {12, 84}, {12, 87}, {12, 93}, {12, 96}, {12, 105}, {12, 106}, {12, 110}, {12, 111}, {12, 112}, {12, 119}, {12, 120}, {12, 124}, {12, 126}, {12, 136}, {12, 139}, {12, 140}, {12, 144}, {12, 149}, {12, 156}, {12, 159}, {12, 162}, {12, 164}, {12, 166}, {13, 14}, {13, 16}, {13, 21}, {13, 24}, {13, 27}, {13, 31}, {13, 35}, {13, 38}, {13, 40}, {13, 41}, {13, 42}, {13, 44}, {13, 46}, {13, 60}, {13, 61}, {13, 69}, {13, 70}, {13, 71}, {13, 74}, {13, 75}, {13, 79}, {13, 102}, {13, 106}, {13, 107}, {13, 110}, {13, 111}, {13, 112}, {13, 120}, {13, 121}, {13, 135}, {13, 137}, {13, 139}, {13, 140}, {13, 141}, {13, 143}, {13, 146}, {13, 150}, {13, 154}, {13, 157}, {13, 160}, {13, 165}, {13, 167}, {15, 16}, {15, 18}, {15, 21}, {15, 24}, {15, 27}, {15, 31}, {15, 36}, {15, 40}, {15, 42}, {15, 44}, {15, 46}, {15, 47}, {15, 53}, {15, 69}, {15, 71}, {15, 72}, {15, 79}, {15, 80}, {15, 81}, {15, 87}, {15, 91}, {15, 92}, {15, 96}, {15, 102}, {15, 103}, {15, 104}, {15, 111}, {15, 112}, {15, 114}, {15, 130}, {15, 136}, {15, 137}, {15, 139}, {15, 141}, {15, 143}, {15, 147}, {15, 152}, {15, 156}, {15, 159}, {15, 162}, {15, 165}, {15, 167}, {17, 18}, {17, 21}, {17, 24}, {17, 31}, {17, 35}, {17, 36}, {17, 38}, {17, 41}, {17, 42}, {17, 44}, {17, 46}, {17, 53}, {17, 61}, {17, 71}, {17, 74}, {17, 75}, {17, 79}, {17, 80}, {17, 81}, {17, 83}, {17, 92}, {17, 93}, {17, 102}, {17, 104}, {17, 105}, {17, 106}, {17, 110}, {17, 111}, {17, 114}, {17, 124}, {17, 132}, {17, 139}, {17, 141}, {17, 143}, {17, 144}, {17, 147}, {17, 149}, {17, 150}, {17, 154}, {17, 161}, {17, 164}, {17, 167}, {19, 6}, {19, 14}, {19, 21}, {19, 27}, {19, 31}, {19, 35}, {19, 38}, {19, 40}, {19, 41}, {19, 44}, {19, 46}, {19, 47}, {19, 52}, {19, 61}, {19, 68}, {19, 69}, {19, 75}, {19, 80}, {19, 81}, {19, 83}, {19, 84}, {19, 91}, {19, 96}, {19, 103}, {19, 104}, {19, 106}, {19, 107}, {19, 112}, {19, 118}, {19, 119}, {19, 126}, {19, 135}, {19, 140}, {19, 141}, {19, 143}, {19, 146}, {19, 147}, {19, 149}, {19, 152}, {19, 156}, {19, 160}, {19, 166}, {20, 21}, {20, 24}, {20, 27}, {20, 31}, {20, 36}, {20, 38}, {20, 41}, {20, 42}, {20, 44}, {20, 47}, {20, 52}, {20, 53}, {20, 56}, {20, 68}, {20, 69}, {20, 70}, {20, 74}, {20, 81}, {20, 83}, {20, 84}, {20, 92}, {20, 96}, {20, 104}, {20, 105}, {20, 107}, {20, 114}, {20, 118}, {20, 119}, {20, 120}, {20, 132}, {20, 135}, {20, 136}, {20, 141}, {20, 144}, {20, 146}, {20, 147}, {20, 150}, {20, 152}, {20, 157}, {20, 161}, {20, 164}, {20, 167}, {22, 24}, {22, 31}, {22, 36}, {22, 38}, {22, 40}, {22, 41}, {22, 44}, {22, 46}, {22, 47}, {22, 53}, {22, 54}, {22, 60}, {22, 69}, {22, 70}, {22, 71}, {22, 72}, {22, 79}, {22, 80}, {22, 83}, {22, 84}, {22, 87}, {22, 103}, {22, 106}, {22, 107}, {22, 110}, {22, 111}, {22, 118}, {22, 119}, {22, 120}, {22, 121}, {22, 130}, {22, 136}, {22, 137}, {22, 143}, {22, 144}, {22, 146}, {22, 149}, {22, 150}, {22, 152}, {22, 154}, {22, 159}, {22, 166}, {23, 6}, {23, 18}, {23, 24}, {23, 27}, {23, 31}, {23, 35}, {23, 41}, {23, 42}, {23, 44}, {23, 47}, {23, 52}, {23, 54}, {23, 56}, {23, 61}, {23, 70}, {23, 71}, {23, 72}, {23, 79}, {23, 80}, {23, 81}, {23, 84}, {23, 87}, {23, 104}, {23, 107}, {23, 110}, {23, 111}, {23, 112}, {23, 119}, {23, 120}, {23, 121}, {23, 130}, {23, 135}, {23, 137}, {23, 139}, {23, 144}, {23, 147}, {23, 149}, {23, 150}, {23, 156}, {23, 160}, {23, 164}, {23, 167}, {25, 27}, {25, 31}, {25, 36}, {25, 41}, {25, 44}, {25, 46}, {25, 47}, {25, 52}, {25, 53}, {25, 54}, {25, 56}, {25, 61}, {25, 69}, {25, 72}, {25, 74}, {25, 75}, {25, 79}, {25, 81}, {25, 83}, {25, 87}, {25, 91}, {25, 102}, {25, 106}, {25, 110}, {25, 112}, {25, 114}, {25, 118}, {25, 119}, {25, 121}, {25, 124}, {25, 132}, {25, 137}, {25, 139}, {25, 140}, {25, 141}, {25, 146}, {25, 147}, {25, 149}, {25, 152}, {25, 157}, {25, 162}, {25, 166}, {26, 6}, {26, 11}, {26, 16}, {26, 21}, {26, 27}, {26, 35}, {26, 38}, {26, 40}, {26, 42}, {26, 44}, {26, 47}, {26, 53}, {26, 54}, {26, 68}, {26, 70}, {26, 74}, {26, 75}, {26, 80}, {26, 83}, {26, 84}, {26, 87}, {26, 91}, {26, 92}, {26, 102}, {26, 103}, {26, 107}, {26, 110}, {26, 111}, {26, 114}, {26, 119}, {26, 120}, {26, 124}, {26, 126}, {26, 140}, {26, 141}, {26, 147}, {26, 150}, {26, 152}, {26, 154}, {26, 156}, {26, 159}, {26, 167}, {28, 11}, {28, 18}, {28, 31}, {28, 35}, {28, 36}, {28, 40}, {28, 42}, {28, 44}, {28, 46}, {28, 47}, {28, 52}, {28, 53}, {28, 56}, {28, 60}, {28, 61}, {28, 70}, {28, 72}, {28, 75}, {28, 84}, {28, 91}, {28, 92}, {28, 93}, {28, 103}, {28, 104}, {28, 105}, {28, 112}, {28, 121}, {28, 124}, {28, 126}, {28, 135}, {28, 136}, {28, 140}, {28, 143}, {28, 144}, {28, 149}, {28, 150}, {28, 152}, {28, 154}, {28, 156}, {28, 160}, {28, 161}, {28, 165}, {29, 6}, {29, 14}, {29, 16}, {29, 24}, {29, 31}, {29, 35}, {29, 36}, {29, 38}, {29, 40}, {29, 41}, {29, 47}, {29, 53}, {29, 54}, {29, 56}, {29, 60}, {29, 61}, {29, 71}, {29, 79}, {29, 83}, {29, 87}, {29, 91}, {29, 92}, {29, 93}, {29, 104}, {29, 105}, {29, 106}, {29, 110}, {29, 114}, {29, 118}, {29, 126}, {29, 136}, {29, 137}, {29, 141}, {29, 143}, {29, 144}, {29, 150}, {29, 156}, {29, 157}, {29, 159}, {29, 161}, {29, 162}, {29, 166}, {30, 31}, {30, 36}, {30, 38}, {30, 41}, {30, 42}, {30, 44}, {30, 46}, {30, 52}, {30, 54}, {30, 61}, {30, 68}, {30, 72}, {30, 74}, {30, 79}, {30, 80}, {30, 84}, {30, 87}, {30, 91}, {30, 92}, {30, 93}, {30, 96}, {30, 102}, {30, 105}, {30, 106}, {30, 107}, {30, 111}, {30, 114}, {30, 118}, {30, 119}, {30, 124}, {30, 126}, {30, 130}, {30, 137}, {30, 144}, {30, 146}, {30, 152}, {30, 154}, {30, 156}, {30, 157}, {30, 160}, {30, 162}, {30, 167}, {32, 6}, {32, 27}, {32, 35}, {32, 36}, {32, 38}, {32, 40}, {32, 41}, {32, 44}, {32, 46}, {32, 53}, {32, 54}, {32, 56}, {32, 60}, {32, 61}, {32, 68}, {32, 70}, {32, 74}, {32, 79}, {32, 80}, {32, 81}, {32, 93}, {32, 96}, {32, 104}, {32, 107}, {32, 119}, {32, 120}, {32, 121}, {32, 126}, {32, 130}, {32, 132}, {32, 139}, {32, 140}, {32, 144}, {32, 146}, {32, 147}, {32, 154}, {32, 156}, {32, 159}, {32, 160}, {32, 162}, {32, 164}, {32, 165}, {33, 16}, {33, 18}, {33, 35}, {33, 36}, {33, 40}, {33, 41}, {33, 42}, {33, 44}, {33, 47}, {33, 52}, {33, 54}, {33, 60}, {33, 61}, {33, 69}, {33, 71}, {33, 75}, {33, 80}, {33, 81}, {33, 83}, {33, 87}, {33, 91}, {33, 96}, {33, 105}, {33, 110}, {33, 114}, {33, 118}, {33, 120}, {33, 121}, {33, 126}, {33, 130}, {33, 132}, {33, 140}, {33, 141}, {33, 147}, {33, 149}, {33, 154}, {33, 157}, {33, 159}, {33, 160}, {33, 161}, {33, 165}, {33, 166}, {34, 11}, {34, 14}, {34, 21}, {34, 24}, {34, 35}, {34, 36}, {34, 38}, {34, 40}, {34, 41}, {34, 42}, {34, 46}, {34, 52}, {34, 53}, {34, 56}, {34, 61}, {34, 70}, {34, 72}, {34, 81}, {34, 83}, {34, 84}, {34, 91}, {34, 92}, {34, 96}, {34, 106}, {34, 110}, {34, 111}, {34, 118}, {34, 119}, {34, 121}, {34, 130}, {34, 132}, {34, 141}, {34, 146}, {34, 149}, {34, 150}, {34, 156}, {34, 160}, {34, 161}, {34, 162}, {34, 164}, {34, 166}, {34, 167}, {37, 11}, {37, 14}, {37, 24}, {37, 27}, {37, 38}, {37, 40}, {37, 41}, {37, 44}, {37, 46}, {37, 53}, {37, 56}, {37, 61}, {37, 68}, {37, 69}, {37, 70}, {37, 75}, {37, 79}, {37, 81}, {37, 84}, {37, 87}, {37, 91}, {37, 93}, {37, 102}, {37, 103}, {37, 112}, {37, 114}, {37, 118}, {37, 121}, {37, 124}, {37, 126}, {37, 130}, {37, 135}, {37, 136}, {37, 137}, {37, 144}, {37, 149}, {37, 152}, {37, 159}, {37, 161}, {37, 164}, {37, 165}, {37, 167}, {39, 16}, {39, 24}, {39, 40}, {39, 41}, {39, 42}, {39, 46}, {39, 47}, {39, 53}, {39, 60}, {39, 61}, {39, 68}, {39, 70}, {39, 71}, {39, 72}, {39, 75}, {39, 81}, {39, 83}, {39, 87}, {39, 93}, {39, 96}, {39, 102}, {39, 103}, {39, 104}, {39, 105}, {39, 111}, {39, 114}, {39, 120}, {39, 124}, {39, 126}, {39, 132}, {39, 135}, {39, 136}, {39, 137}, {39, 139}, {39, 146}, {39, 147}, {39, 154}, {39, 160}, {39, 161}, {39, 165}, {39, 166}, {39, 167}, {43, 6}, {43, 38}, {43, 44}, {43, 46}, {43, 47}, {43, 52}, {43, 54}, {43, 61}, {43, 68}, {43, 70}, {43, 71}, {43, 72}, {43, 74}, {43, 75}, {43, 79}, {43, 81}, {43, 87}, {43, 91}, {43, 92}, {43, 93}, {43, 104}, {43, 105}, {43, 106}, {43, 107}, {43, 118}, {43, 119}, {43, 120}, {43, 124}, {43, 130}, {43, 132}, {43, 136}, {43, 137}, {43, 139}, {43, 140}, {43, 141}, {43, 143}, {43, 150}, {43, 157}, {43, 159}, {43, 164}, {43, 165}, {43, 167}, {45, 6}, {45, 11}, {45, 35}, {45, 40}, {45, 46}, {45, 47}, {45, 52}, {45, 53}, {45, 54}, {45, 56}, {45, 61}, {45, 69}, {45, 70}, {45, 72}, {45, 74}, {45, 81}, {45, 83}, {45, 87}, {45, 92}, {45, 93}, {45, 102}, {45, 103}, {45, 106}, {45, 107}, {45, 110}, {45, 111}, {45, 120}, {45, 121}, {45, 126}, {45, 130}, {45, 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161}, {158, 162}, {158, 164}, {158, 165}, {158, 166}, {158, 167}, {163, 14}, {163, 18}, {163, 21}, {163, 24}, {163, 27}, {163, 38}, {163, 40}, {163, 44}, {163, 46}, {163, 52}, {163, 53}, {163, 54}, {163, 60}, {163, 61}, {163, 68}, {163, 71}, {163, 72}, {163, 80}, {163, 81}, {163, 83}, {163, 84}, {163, 92}, {163, 93}, {163, 96}, {163, 103}, {163, 104}, {163, 110}, {163, 111}, {163, 112}, {163, 118}, {163, 120}, {163, 124}, {163, 126}, {163, 137}, {163, 140}, {163, 143}, {163, 146}, {163, 150}, {163, 164}, {163, 165}, {163, 166}, {163, 167}} -> (125 + (41*I)*Sqrt[167])/1143574 +{{6, 2}, {6, 3}, {6, 4}, {6, 5}, {6, 19}, {6, 23}, {6, 26}, {6, 29}, {6, 32}, {6, 43}, {6, 45}, {6, 49}, {6, 51}, {6, 57}, {6, 58}, {6, 59}, {6, 65}, {6, 66}, {6, 73}, {6, 76}, {6, 77}, {6, 85}, {6, 86}, {6, 88}, {6, 89}, {6, 97}, {6, 98}, {6, 101}, {6, 108}, {6, 109}, {6, 115}, {6, 116}, {6, 117}, {6, 123}, {6, 125}, {6, 129}, {6, 131}, {6, 142}, {6, 145}, {6, 148}, {6, 151}, {6, 155}, {11, 2}, {11, 3}, {11, 4}, 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{167, 163}} -> (125 - (41*I)*Sqrt[167])/1143574 +{{2, 3}, {2, 4}, {2, 5}, {2, 8}, {2, 9}, {2, 10}, {2, 13}, {2, 20}, {2, 23}, {2, 26}, {2, 29}, {2, 30}, {2, 33}, {2, 34}, {2, 36}, {2, 41}, {2, 42}, {2, 47}, {2, 49}, {2, 50}, {2, 51}, {2, 53}, {2, 54}, {2, 58}, {2, 59}, {2, 61}, {2, 63}, {2, 64}, {2, 65}, {2, 66}, {2, 67}, {2, 69}, {2, 70}, {2, 71}, {2, 72}, {2, 75}, {2, 77}, {2, 78}, {2, 80}, {2, 81}, {2, 84}, {2, 86}, {2, 89}, {2, 90}, {2, 92}, {2, 93}, {2, 95}, {2, 98}, {2, 99}, {2, 100}, {2, 101}, {2, 103}, {2, 104}, {2, 105}, {2, 106}, {2, 107}, {2, 109}, {2, 111}, {2, 112}, {2, 116}, {2, 117}, {2, 119}, {2, 120}, {2, 121}, {2, 123}, {2, 128}, {2, 129}, {2, 134}, {2, 136}, {2, 137}, {2, 140}, {2, 141}, {2, 144}, {2, 147}, {2, 150}, {2, 157}, {2, 160}, {2, 161}, {2, 162}, {2, 165}, {2, 166}, {2, 167}, {3, 4}, {3, 5}, {3, 7}, {3, 9}, {3, 10}, {3, 12}, {3, 15}, {3, 16}, {3, 17}, {3, 18}, {3, 19}, {3, 22}, {3, 25}, {3, 28}, {3, 30}, {3, 32}, {3, 34}, {3, 38}, {3, 39}, {3, 40}, {3, 42}, {3, 44}, {3, 45}, {3, 46}, {3, 50}, {3, 51}, {3, 54}, {3, 56}, {3, 57}, {3, 59}, {3, 64}, {3, 65}, {3, 66}, {3, 67}, {3, 70}, {3, 71}, {3, 72}, {3, 74}, {3, 78}, {3, 81}, {3, 83}, {3, 88}, {3, 90}, {3, 93}, {3, 97}, {3, 99}, {3, 100}, {3, 101}, {3, 104}, {3, 105}, {3, 106}, {3, 107}, {3, 112}, {3, 114}, {3, 115}, {3, 117}, {3, 120}, {3, 121}, {3, 125}, {3, 126}, {3, 127}, {3, 129}, {3, 131}, {3, 132}, {3, 133}, {3, 137}, {3, 139}, {3, 141}, {3, 143}, {3, 146}, {3, 149}, {3, 152}, {3, 153}, {3, 154}, {3, 155}, {3, 156}, {3, 159}, {3, 161}, {3, 162}, {3, 164}, {3, 166}, {3, 167}, {4, 5}, {4, 7}, {4, 8}, {4, 10}, {4, 12}, {4, 13}, {4, 14}, {4, 15}, {4, 20}, {4, 21}, {4, 22}, {4, 23}, {4, 24}, {4, 25}, {4, 26}, {4, 27}, {4, 28}, {4, 29}, {4, 32}, {4, 33}, {4, 37}, {4, 38}, {4, 41}, {4, 44}, {4, 47}, {4, 48}, {4, 51}, {4, 56}, {4, 58}, {4, 62}, {4, 65}, {4, 66}, {4, 67}, {4, 71}, {4, 72}, {4, 74}, {4, 75}, {4, 76}, {4, 83}, {4, 84}, {4, 85}, {4, 87}, {4, 88}, {4, 89}, {4, 96}, {4, 97}, {4, 98}, {4, 100}, {4, 101}, {4, 105}, {4, 106}, {4, 107}, {4, 110}, {4, 114}, {4, 116}, {4, 121}, {4, 124}, {4, 125}, {4, 128}, {4, 131}, {4, 134}, {4, 135}, {4, 139}, {4, 140}, {4, 143}, {4, 144}, {4, 145}, {4, 146}, {4, 147}, {4, 148}, {4, 149}, {4, 150}, {4, 151}, {4, 152}, {4, 157}, {4, 158}, {4, 159}, {4, 160}, {4, 162}, {4, 164}, {4, 165}, {4, 167}, {5, 7}, {5, 8}, {5, 9}, {5, 12}, {5, 13}, {5, 17}, {5, 18}, {5, 19}, {5, 23}, {5, 26}, {5, 29}, {5, 30}, {5, 31}, {5, 32}, {5, 33}, {5, 34}, {5, 35}, {5, 37}, {5, 40}, {5, 42}, {5, 43}, {5, 44}, {5, 46}, {5, 49}, {5, 55}, {5, 56}, {5, 59}, {5, 60}, {5, 62}, {5, 63}, {5, 66}, {5, 67}, {5, 72}, {5, 74}, {5, 75}, {5, 77}, {5, 79}, {5, 82}, {5, 83}, {5, 84}, {5, 86}, {5, 87}, {5, 89}, {5, 90}, {5, 91}, {5, 94}, {5, 96}, {5, 98}, {5, 99}, {5, 101}, {5, 106}, {5, 107}, {5, 110}, {5, 111}, {5, 113}, {5, 114}, {5, 117}, {5, 118}, {5, 124}, {5, 127}, {5, 129}, {5, 130}, {5, 131}, {5, 133}, {5, 136}, {5, 138}, {5, 139}, {5, 140}, {5, 141}, {5, 142}, {5, 143}, {5, 144}, {5, 147}, {5, 150}, {5, 154}, {5, 155}, {5, 156}, {5, 160}, {5, 161}, {5, 164}, {5, 165}, {5, 166}, {6, 14}, {6, 18}, {6, 24}, {6, 27}, {6, 31}, {6, 35}, {6, 38}, {6, 42}, {6, 44}, {6, 53}, {6, 54}, {6, 56}, {6, 60}, {6, 68}, {6, 69}, {6, 70}, {6, 71}, {6, 72}, {6, 81}, {6, 83}, {6, 87}, {6, 91}, {6, 93}, {6, 102}, {6, 103}, {6, 104}, {6, 105}, {6, 106}, {6, 114}, {6, 118}, {6, 120}, {6, 121}, {6, 130}, {6, 132}, {6, 136}, {6, 139}, {6, 143}, {6, 147}, {6, 150}, {6, 156}, {6, 160}, {7, 2}, {7, 6}, {7, 8}, {7, 9}, {7, 10}, {7, 13}, {7, 15}, {7, 19}, {7, 23}, {7, 24}, {7, 25}, {7, 26}, {7, 27}, {7, 28}, {7, 29}, {7, 32}, {7, 34}, {7, 39}, {7, 41}, {7, 42}, {7, 43}, {7, 44}, {7, 45}, {7, 46}, {7, 47}, {7, 49}, {7, 51}, {7, 52}, {7, 53}, {7, 55}, {7, 57}, {7, 60}, {7, 63}, {7, 64}, {7, 65}, {7, 73}, {7, 74}, {7, 75}, {7, 80}, {7, 81}, {7, 82}, {7, 87}, {7, 88}, {7, 93}, {7, 94}, {7, 95}, {7, 100}, {7, 101}, {7, 102}, {7, 110}, {7, 111}, {7, 112}, {7, 115}, {7, 118}, {7, 120}, {7, 122}, {7, 123}, {7, 124}, {7, 126}, {7, 128}, {7, 129}, {7, 130}, {7, 131}, {7, 132}, {7, 133}, {7, 134}, {7, 136}, {7, 141}, {7, 143}, {7, 146}, {7, 147}, {7, 148}, {7, 149}, {7, 150}, {7, 151}, {7, 152}, {7, 156}, {7, 160}, {7, 162}, {7, 165}, {7, 166}, {7, 167}, {8, 3}, {8, 6}, {8, 9}, {8, 10}, {8, 12}, {8, 15}, {8, 17}, {8, 18}, {8, 19}, {8, 20}, {8, 21}, {8, 22}, {8, 26}, {8, 29}, {8, 30}, {8, 31}, {8, 32}, {8, 33}, {8, 37}, {8, 38}, {8, 39}, {8, 42}, {8, 47}, {8, 50}, {8, 53}, {8, 54}, {8, 55}, {8, 57}, {8, 58}, {8, 60}, {8, 61}, {8, 62}, {8, 64}, {8, 65}, {8, 66}, {8, 68}, {8, 73}, {8, 75}, {8, 79}, {8, 81}, {8, 85}, {8, 87}, {8, 89}, {8, 91}, {8, 95}, {8, 97}, {8, 101}, {8, 103}, {8, 108}, {8, 110}, {8, 111}, {8, 112}, {8, 114}, {8, 115}, {8, 116}, {8, 118}, {8, 119}, {8, 121}, {8, 122}, {8, 123}, {8, 126}, {8, 129}, {8, 134}, {8, 137}, {8, 138}, {8, 139}, {8, 143}, {8, 144}, {8, 145}, {8, 146}, {8, 147}, {8, 150}, {8, 154}, {8, 155}, {8, 156}, {8, 157}, {8, 158}, {8, 159}, {8, 161}, {8, 164}, {8, 166}, {8, 167}, {9, 4}, {9, 6}, {9, 10}, {9, 12}, {9, 13}, {9, 14}, {9, 15}, {9, 17}, {9, 20}, {9, 23}, {9, 24}, {9, 25}, {9, 28}, {9, 30}, {9, 33}, {9, 34}, {9, 35}, {9, 37}, {9, 44}, {9, 45}, {9, 46}, {9, 51}, {9, 52}, {9, 54}, {9, 57}, {9, 58}, {9, 59}, {9, 60}, {9, 61}, {9, 63}, {9, 65}, {9, 66}, {9, 67}, {9, 68}, {9, 69}, {9, 73}, {9, 79}, {9, 80}, {9, 83}, {9, 85}, {9, 86}, {9, 87}, {9, 90}, {9, 91}, {9, 92}, {9, 94}, {9, 97}, {9, 98}, {9, 104}, {9, 108}, {9, 109}, {9, 110}, {9, 111}, {9, 112}, {9, 114}, {9, 116}, {9, 117}, {9, 118}, {9, 119}, {9, 120}, {9, 123}, {9, 125}, {9, 126}, {9, 131}, {9, 132}, {9, 133}, {9, 140}, {9, 142}, {9, 143}, {9, 144}, {9, 147}, {9, 149}, {9, 152}, {9, 153}, {9, 154}, {9, 157}, {9, 160}, {9, 162}, {9, 163}, {9, 164}, {9, 165}, {9, 167}, {10, 5}, {10, 6}, {10, 12}, {10, 13}, {10, 17}, {10, 19}, {10, 22}, {10, 26}, {10, 27}, {10, 28}, {10, 29}, {10, 32}, {10, 34}, {10, 36}, {10, 37}, {10, 39}, {10, 40}, {10, 43}, {10, 44}, {10, 47}, {10, 48}, {10, 53}, {10, 56}, {10, 57}, {10, 58}, {10, 59}, {10, 61}, {10, 64}, {10, 66}, {10, 67}, {10, 69}, {10, 70}, {10, 73}, {10, 76}, {10, 79}, {10, 80}, {10, 81}, {10, 82}, {10, 83}, {10, 84}, {10, 85}, {10, 86}, {10, 92}, {10, 93}, {10, 94}, {10, 95}, {10, 96}, {10, 97}, {10, 98}, {10, 99}, {10, 102}, {10, 105}, {10, 108}, {10, 109}, {10, 111}, {10, 112}, {10, 114}, {10, 117}, {10, 119}, {10, 120}, {10, 121}, {10, 122}, {10, 125}, {10, 130}, {10, 131}, {10, 134}, {10, 135}, {10, 138}, {10, 139}, {10, 141}, {10, 142}, {10, 144}, {10, 146}, {10, 149}, {10, 150}, {10, 151}, {10, 152}, {10, 156}, {10, 159}, {10, 161}, {10, 165}, {10, 166}, {11, 6}, {11, 14}, {11, 18}, {11, 27}, {11, 35}, {11, 36}, {11, 38}, {11, 40}, {11, 42}, {11, 44}, {11, 47}, {11, 53}, {11, 60}, {11, 61}, {11, 68}, {11, 69}, {11, 72}, {11, 74}, {11, 75}, {11, 83}, {11, 87}, {11, 92}, {11, 96}, {11, 104}, {11, 105}, {11, 107}, {11, 110}, {11, 111}, {11, 118}, {11, 119}, {11, 126}, {11, 132}, {11, 135}, {11, 137}, {11, 139}, {11, 141}, {11, 143}, {11, 144}, {11, 152}, {11, 161}, {11, 165}, {12, 2}, {12, 6}, {12, 7}, {12, 11}, {12, 13}, {12, 15}, {12, 19}, {12, 20}, {12, 23}, {12, 26}, {12, 27}, {12, 28}, {12, 30}, {12, 33}, {12, 34}, {12, 35}, {12, 37}, {12, 38}, {12, 39}, {12, 42}, {12, 43}, {12, 45}, {12, 46}, {12, 47}, {12, 48}, {12, 50}, {12, 52}, {12, 53}, {12, 59}, {12, 62}, {12, 66}, {12, 71}, {12, 72}, {12, 73}, {12, 76}, {12, 77}, {12, 78}, {12, 79}, {12, 80}, {12, 81}, {12, 83}, {12, 88}, {12, 89}, {12, 91}, {12, 92}, {12, 97}, {12, 99}, {12, 100}, {12, 101}, {12, 102}, {12, 103}, {12, 104}, {12, 107}, {12, 108}, {12, 109}, {12, 114}, {12, 118}, {12, 121}, {12, 127}, {12, 128}, {12, 130}, {12, 132}, {12, 133}, {12, 134}, {12, 135}, {12, 137}, {12, 138}, {12, 141}, {12, 142}, {12, 143}, {12, 145}, {12, 146}, {12, 147}, {12, 150}, {12, 152}, {12, 153}, {12, 154}, {12, 157}, {12, 160}, {12, 161}, {12, 165}, {12, 167}, {13, 3}, {13, 6}, {13, 8}, {13, 11}, {13, 15}, {13, 17}, {13, 18}, {13, 19}, {13, 20}, {13, 22}, {13, 25}, {13, 29}, {13, 32}, {13, 34}, {13, 36}, {13, 37}, {13, 45}, {13, 47}, {13, 49}, {13, 51}, {13, 52}, {13, 53}, {13, 54}, {13, 55}, {13, 56}, {13, 57}, {13, 62}, {13, 63}, {13, 67}, {13, 68}, {13, 72}, {13, 76}, {13, 77}, {13, 78}, {13, 80}, {13, 81}, {13, 83}, {13, 84}, {13, 85}, {13, 87}, {13, 88}, {13, 89}, {13, 90}, {13, 91}, {13, 92}, {13, 93}, {13, 94}, {13, 96}, {13, 97}, {13, 98}, {13, 100}, {13, 101}, {13, 103}, {13, 104}, {13, 105}, {13, 109}, {13, 113}, {13, 114}, {13, 118}, {13, 119}, {13, 124}, {13, 125}, {13, 126}, {13, 127}, {13, 128}, {13, 129}, {13, 130}, {13, 132}, {13, 134}, {13, 136}, {13, 144}, {13, 145}, {13, 147}, {13, 149}, {13, 152}, {13, 156}, {13, 159}, {13, 161}, {13, 162}, {13, 163}, {13, 164}, {13, 166}, {14, 16}, {14, 18}, {14, 21}, {14, 35}, {14, 36}, {14, 38}, {14, 41}, {14, 42}, {14, 46}, {14, 47}, {14, 52}, {14, 56}, {14, 61}, {14, 68}, {14, 70}, {14, 71}, {14, 72}, {14, 75}, {14, 79}, {14, 80}, {14, 91}, {14, 102}, {14, 103}, {14, 107}, {14, 110}, {14, 111}, {14, 112}, {14, 114}, {14, 121}, {14, 126}, {14, 130}, {14, 135}, {14, 136}, {14, 140}, {14, 141}, {14, 144}, {14, 146}, {14, 147}, {14, 161}, {14, 164}, {14, 166}, {15, 2}, {15, 5}, {15, 6}, {15, 10}, {15, 11}, {15, 14}, {15, 17}, {15, 19}, {15, 22}, {15, 23}, {15, 26}, {15, 29}, {15, 33}, {15, 34}, {15, 35}, {15, 37}, {15, 38}, {15, 39}, {15, 41}, {15, 43}, {15, 48}, {15, 51}, {15, 52}, {15, 54}, {15, 56}, {15, 57}, {15, 59}, {15, 60}, {15, 61}, {15, 62}, {15, 63}, {15, 64}, {15, 65}, {15, 68}, {15, 70}, {15, 73}, {15, 74}, {15, 75}, {15, 76}, {15, 77}, {15, 78}, {15, 83}, {15, 84}, {15, 90}, {15, 93}, {15, 99}, {15, 100}, {15, 105}, {15, 106}, {15, 107}, {15, 108}, {15, 109}, {15, 110}, {15, 113}, {15, 115}, {15, 118}, {15, 119}, {15, 120}, {15, 121}, {15, 122}, {15, 123}, {15, 124}, {15, 126}, {15, 127}, {15, 129}, {15, 131}, {15, 132}, {15, 135}, {15, 140}, {15, 142}, {15, 144}, {15, 145}, {15, 146}, {15, 148}, {15, 149}, {15, 150}, {15, 154}, {15, 157}, {15, 160}, {15, 161}, {15, 164}, {15, 166}, {16, 6}, {16, 11}, {16, 18}, {16, 24}, {16, 27}, {16, 35}, {16, 38}, {16, 40}, {16, 41}, {16, 44}, {16, 47}, {16, 52}, {16, 54}, {16, 60}, {16, 70}, {16, 72}, {16, 74}, {16, 79}, {16, 80}, {16, 81}, {16, 91}, {16, 92}, {16, 93}, {16, 103}, {16, 104}, {16, 105}, {16, 110}, {16, 112}, {16, 114}, {16, 124}, {16, 130}, {16, 132}, {16, 137}, {16, 140}, {16, 143}, {16, 144}, {16, 146}, {16, 149}, {16, 157}, {16, 160}, {16, 166}, {17, 2}, {17, 4}, {17, 6}, {17, 7}, {17, 11}, {17, 12}, {17, 14}, {17, 16}, {17, 19}, {17, 20}, {17, 23}, {17, 25}, {17, 26}, {17, 27}, {17, 28}, {17, 29}, {17, 33}, {17, 39}, {17, 40}, {17, 45}, {17, 47}, {17, 48}, {17, 49}, {17, 50}, {17, 52}, {17, 54}, {17, 55}, {17, 56}, {17, 59}, {17, 60}, {17, 64}, {17, 65}, {17, 66}, {17, 67}, {17, 68}, {17, 69}, {17, 70}, {17, 72}, {17, 73}, {17, 78}, {17, 82}, {17, 84}, {17, 87}, {17, 89}, {17, 91}, {17, 94}, {17, 96}, {17, 98}, {17, 101}, {17, 103}, {17, 107}, {17, 112}, {17, 113}, {17, 115}, {17, 116}, {17, 117}, {17, 118}, {17, 119}, {17, 120}, {17, 121}, {17, 125}, {17, 126}, {17, 129}, {17, 130}, {17, 131}, {17, 133}, {17, 135}, {17, 136}, {17, 137}, {17, 138}, {17, 140}, {17, 145}, {17, 146}, {17, 152}, {17, 156}, {17, 157}, {17, 158}, {17, 159}, {17, 160}, {17, 162}, {17, 165}, {17, 166}, {18, 21}, {18, 24}, {18, 27}, {18, 36}, {18, 40}, {18, 42}, {18, 46}, {18, 47}, {18, 54}, {18, 56}, {18, 60}, {18, 68}, {18, 72}, {18, 74}, {18, 75}, {18, 79}, {18, 80}, {18, 81}, {18, 83}, {18, 84}, {18, 93}, {18, 102}, {18, 103}, {18, 105}, {18, 106}, {18, 107}, {18, 111}, {18, 112}, {18, 114}, {18, 118}, {18, 126}, {18, 130}, {18, 132}, {18, 139}, {18, 140}, {18, 144}, {18, 146}, {18, 150}, {18, 159}, {18, 162}, {18, 165}, {19, 2}, {19, 4}, {19, 9}, {19, 11}, {19, 16}, {19, 18}, {19, 20}, {19, 22}, {19, 23}, {19, 24}, {19, 25}, {19, 26}, {19, 28}, {19, 30}, {19, 33}, {19, 36}, {19, 37}, {19, 42}, {19, 43}, {19, 48}, 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{178, 150}, {178, 151}, {178, 152}, {178, 153}, {178, 154}, {178, 157}, {178, 158}, {178, 161}, {178, 163}, {178, 164}, {178, 165}, {178, 166}, {178, 170}, {178, 172}, {178, 175}, {178, 177}, {179, 3}, {179, 9}, {179, 12}, {179, 19}, {179, 22}, {179, 25}, {179, 27}, {179, 29}, {179, 31}, {179, 36}, {179, 39}, {179, 42}, {179, 45}, {179, 51}, {179, 56}, {179, 59}, {179, 64}, {179, 70}, {179, 74}, {179, 80}, {179, 85}, {179, 87}, {179, 93}, {179, 95}, {179, 100}, {179, 106}, {179, 110}, {179, 116}, {179, 121}, {179, 124}, {179, 129}, {179, 135}, {179, 138}, {179, 141}, {179, 144}, {179, 149}, {179, 151}, {179, 153}, {179, 155}, {179, 158}, {179, 161}, {179, 168}, {179, 171}, {179, 177}} -> ((45*I)/1409938)*(I + Sqrt[179]) +{{2, 4}, {2, 10}, {2, 13}, {2, 20}, {2, 23}, {2, 26}, {2, 28}, {2, 30}, {2, 32}, {2, 37}, {2, 40}, {2, 43}, {2, 46}, {2, 52}, {2, 57}, {2, 60}, {2, 65}, {2, 71}, {2, 75}, {2, 81}, {2, 86}, {2, 88}, {2, 94}, {2, 96}, {2, 101}, {2, 107}, {2, 111}, {2, 117}, {2, 122}, {2, 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+++ b/etf_95x191_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, 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{63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 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{159, 1}, {159, 159}, {160, 1}, {160, 160}, {161, 1}, {161, 161}, {162, 1}, {162, 162}, {163, 1}, {163, 163}, {164, 1}, {164, 164}, {165, 1}, {165, 165}, {166, 1}, {166, 166}, {167, 1}, {167, 167}, {168, 1}, {168, 168}, {169, 1}, {169, 169}, {170, 1}, {170, 170}, {171, 1}, {171, 171}, {172, 1}, {172, 172}, {173, 1}, {173, 173}, {174, 1}, {174, 174}, {175, 1}, {175, 175}, {176, 1}, {176, 176}, {177, 1}, {177, 177}, {178, 1}, {178, 178}, {179, 1}, {179, 179}, {180, 1}, {180, 180}, {181, 1}, {181, 181}, {182, 1}, {182, 182}, {183, 1}, {183, 183}, {184, 1}, {184, 184}, {185, 1}, {185, 185}, {186, 1}, {186, 186}, {187, 1}, {187, 187}, {188, 1}, {188, 188}, {189, 1}, {189, 189}, {190, 1}, {190, 190}, {191, 1}, {191, 191}} -> 48/9025 +{{2, 8}, {2, 12}, {2, 15}, {2, 20}, {2, 22}, {2, 29}, {2, 32}, {2, 34}, {2, 36}, {2, 38}, {2, 42}, {2, 45}, {2, 48}, {2, 54}, {2, 56}, {2, 62}, {2, 67}, {2, 71}, {2, 74}, {2, 77}, {2, 83}, {2, 88}, {2, 92}, {2, 94}, {2, 100}, {2, 102}, {2, 106}, {2, 111}, {2, 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142}, {4, 153}, {4, 158}, {4, 160}, {4, 162}, {4, 166}, {4, 167}, {4, 174}, {4, 176}, {4, 184}, {4, 188}, {5, 8}, {5, 15}, {5, 20}, {5, 22}, {5, 23}, {5, 29}, {5, 30}, {5, 32}, {5, 39}, {5, 45}, {5, 48}, {5, 54}, {5, 56}, {5, 57}, {5, 59}, {5, 64}, {5, 72}, {5, 74}, {5, 77}, {5, 83}, {5, 84}, {5, 85}, {5, 90}, {5, 95}, {5, 102}, {5, 107}, {5, 112}, {5, 113}, {5, 114}, {5, 120}, {5, 123}, {5, 125}, {5, 133}, {5, 138}, {5, 140}, {5, 141}, {5, 143}, {5, 149}, {5, 152}, {5, 158}, {5, 165}, {5, 167}, {5, 168}, {5, 174}, {5, 175}, {5, 177}, {5, 182}, {5, 189}, {6, 8}, {6, 12}, {6, 15}, {6, 22}, {6, 23}, {6, 29}, {6, 30}, {6, 32}, {6, 36}, {6, 38}, {6, 42}, {6, 45}, {6, 54}, {6, 56}, {6, 57}, {6, 58}, {6, 71}, {6, 74}, {6, 75}, {6, 83}, {6, 84}, {6, 85}, {6, 92}, {6, 96}, {6, 102}, {6, 106}, {6, 113}, {6, 114}, {6, 115}, {6, 123}, {6, 124}, {6, 127}, {6, 140}, {6, 141}, {6, 142}, {6, 144}, {6, 153}, {6, 156}, {6, 160}, {6, 162}, {6, 166}, {6, 168}, {6, 169}, {6, 175}, {6, 176}, {6, 183}, {6, 186}, {6, 190}, {7, 8}, {7, 12}, {7, 15}, {7, 20}, {7, 22}, {7, 23}, {7, 30}, {7, 32}, {7, 34}, {7, 39}, {7, 43}, {7, 56}, {7, 57}, {7, 58}, {7, 59}, {7, 67}, {7, 71}, {7, 72}, {7, 74}, {7, 75}, {7, 84}, {7, 85}, {7, 88}, {7, 92}, {7, 107}, {7, 111}, {7, 114}, {7, 115}, {7, 124}, {7, 125}, {7, 127}, {7, 128}, {7, 132}, {7, 140}, {7, 141}, {7, 142}, {7, 143}, {7, 156}, {7, 160}, {7, 165}, {7, 167}, {7, 169}, {7, 176}, {7, 177}, {7, 179}, {7, 184}, {7, 187}, {7, 191}, {9, 12}, {9, 15}, {9, 22}, {9, 29}, {9, 32}, {9, 34}, {9, 36}, {9, 39}, {9, 43}, {9, 45}, {9, 48}, {9, 54}, {9, 57}, {9, 58}, {9, 59}, {9, 63}, {9, 74}, {9, 77}, {9, 84}, {9, 88}, {9, 89}, {9, 90}, {9, 94}, {9, 95}, {9, 106}, {9, 107}, {9, 111}, {9, 112}, {9, 113}, {9, 117}, {9, 124}, {9, 127}, {9, 138}, {9, 142}, {9, 143}, {9, 144}, {9, 147}, {9, 153}, {9, 156}, {9, 158}, {9, 162}, {9, 165}, {9, 167}, {9, 169}, {9, 172}, {9, 179}, {9, 186}, {9, 189}, {10, 12}, {10, 15}, {10, 20}, {10, 22}, {10, 23}, {10, 30}, {10, 34}, {10, 36}, {10, 42}, {10, 56}, {10, 58}, {10, 59}, {10, 62}, {10, 64}, {10, 74}, {10, 75}, {10, 77}, {10, 85}, {10, 88}, {10, 89}, {10, 90}, {10, 95}, {10, 96}, {10, 100}, {10, 102}, {10, 106}, {10, 107}, {10, 112}, {10, 113}, {10, 114}, {10, 117}, {10, 125}, {10, 127}, {10, 128}, {10, 138}, {10, 140}, {10, 143}, {10, 144}, {10, 146}, {10, 160}, {10, 166}, {10, 168}, {10, 172}, {10, 179}, {10, 180}, {10, 182}, {10, 187}, {10, 190}, {11, 12}, {11, 15}, {11, 20}, {11, 23}, {11, 29}, {11, 34}, {11, 36}, {11, 38}, {11, 43}, {11, 45}, {11, 54}, {11, 56}, {11, 57}, {11, 59}, {11, 62}, {11, 63}, {11, 71}, {11, 75}, {11, 83}, {11, 88}, {11, 89}, {11, 90}, {11, 92}, {11, 96}, {11, 107}, {11, 111}, {11, 113}, {11, 114}, {11, 115}, {11, 120}, {11, 128}, {11, 132}, {11, 140}, {11, 141}, {11, 144}, {11, 146}, {11, 147}, {11, 149}, {11, 158}, {11, 160}, {11, 165}, {11, 167}, {11, 169}, {11, 174}, {11, 180}, {11, 183}, {11, 188}, {11, 191}, {13, 15}, {13, 22}, {13, 23}, {13, 29}, {13, 30}, {13, 36}, {13, 38}, {13, 39}, {13, 43}, {13, 45}, {13, 56}, {13, 58}, {13, 59}, {13, 62}, {13, 63}, {13, 64}, {13, 67}, {13, 72}, {13, 77}, {13, 85}, {13, 88}, {13, 90}, {13, 92}, {13, 94}, {13, 111}, {13, 113}, {13, 115}, {13, 117}, {13, 120}, {13, 128}, {13, 133}, {13, 138}, {13, 141}, {13, 142}, {13, 143}, {13, 146}, {13, 147}, {13, 149}, {13, 160}, {13, 162}, {13, 166}, {13, 167}, {13, 169}, {13, 175}, {13, 176}, {13, 182}, {13, 183}, {13, 190}, {14, 15}, {14, 20}, {14, 22}, {14, 23}, {14, 29}, {14, 30}, {14, 32}, {14, 34}, {14, 38}, {14, 39}, {14, 48}, {14, 54}, {14, 57}, {14, 59}, {14, 62}, {14, 63}, {14, 64}, {14, 74}, {14, 83}, {14, 89}, {14, 92}, {14, 94}, {14, 95}, {14, 100}, {14, 106}, {14, 111}, {14, 112}, {14, 114}, {14, 117}, {14, 123}, {14, 132}, {14, 142}, {14, 143}, {14, 144}, {14, 147}, {14, 149}, {14, 152}, {14, 158}, {14, 167}, {14, 168}, {14, 172}, {14, 174}, {14, 176}, {14, 177}, {14, 183}, {14, 184}, {14, 186}, {14, 191}, {16, 20}, {16, 22}, {16, 29}, {16, 32}, {16, 34}, {16, 36}, {16, 39}, {16, 42}, {16, 43}, {16, 48}, {16, 56}, {16, 59}, {16, 62}, {16, 64}, {16, 67}, {16, 75}, {16, 83}, {16, 84}, {16, 85}, {16, 88}, {16, 94}, {16, 95}, {16, 96}, {16, 102}, {16, 106}, {16, 112}, {16, 113}, {16, 114}, {16, 120}, {16, 123}, {16, 124}, {16, 125}, {16, 133}, {16, 141}, {16, 144}, {16, 146}, {16, 149}, {16, 152}, {16, 160}, {16, 165}, {16, 166}, {16, 169}, {16, 172}, {16, 174}, {16, 176}, {16, 179}, {16, 186}, {16, 188}, {17, 20}, {17, 22}, {17, 23}, {17, 29}, {17, 30}, {17, 32}, {17, 34}, {17, 42}, {17, 43}, {17, 56}, {17, 57}, {17, 62}, {17, 63}, {17, 67}, {17, 71}, {17, 77}, {17, 84}, {17, 85}, {17, 89}, {17, 92}, {17, 94}, {17, 95}, {17, 96}, {17, 102}, {17, 107}, {17, 113}, {17, 114}, {17, 115}, {17, 117}, {17, 120}, {17, 124}, {17, 125}, {17, 132}, {17, 138}, {17, 142}, {17, 146}, {17, 147}, {17, 152}, {17, 153}, {17, 166}, {17, 167}, {17, 175}, {17, 177}, {17, 179}, {17, 180}, {17, 186}, {17, 187}, {17, 189}, {18, 20}, {18, 22}, {18, 23}, {18, 30}, {18, 34}, {18, 36}, {18, 38}, {18, 42}, {18, 43}, {18, 45}, {18, 48}, {18, 54}, {18, 57}, {18, 58}, {18, 63}, {18, 64}, {18, 67}, {18, 72}, {18, 77}, {18, 83}, {18, 85}, {18, 90}, {18, 95}, {18, 96}, {18, 114}, {18, 115}, {18, 120}, {18, 125}, {18, 127}, {18, 133}, {18, 138}, {18, 143}, {18, 146}, {18, 147}, {18, 152}, {18, 153}, {18, 156}, {18, 162}, {18, 165}, {18, 167}, {18, 168}, {18, 172}, {18, 174}, {18, 176}, {18, 180}, {18, 187}, {18, 188}, {18, 190}, {19, 8}, {19, 12}, {19, 20}, {19, 22}, {19, 23}, {19, 29}, {19, 32}, {19, 34}, {19, 36}, {19, 39}, {19, 42}, {19, 43}, {19, 45}, {19, 58}, {19, 59}, {19, 62}, {19, 64}, {19, 67}, {19, 71}, {19, 83}, {19, 84}, {19, 88}, {19, 94}, {19, 96}, {19, 100}, {19, 111}, {19, 115}, {19, 117}, {19, 123}, {19, 127}, {19, 128}, {19, 140}, {19, 144}, {19, 147}, {19, 149}, {19, 152}, {19, 153}, {19, 166}, {19, 168}, {19, 169}, {19, 172}, {19, 175}, {19, 177}, {19, 179}, {19, 182}, {19, 188}, {19, 189}, {19, 191}, {21, 22}, {21, 23}, {21, 29}, {21, 30}, {21, 34}, {21, 36}, {21, 38}, {21, 39}, {21, 45}, {21, 48}, {21, 57}, {21, 64}, {21, 67}, {21, 71}, {21, 72}, {21, 75}, {21, 85}, {21, 88}, {21, 89}, {21, 90}, {21, 96}, {21, 100}, {21, 102}, {21, 106}, {21, 107}, {21, 111}, {21, 113}, {21, 117}, {21, 123}, {21, 124}, {21, 125}, {21, 128}, {21, 138}, {21, 141}, {21, 142}, {21, 146}, {21, 149}, {21, 156}, {21, 165}, {21, 168}, {21, 174}, {21, 175}, {21, 177}, {21, 179}, {21, 183}, {21, 184}, {21, 190}, {21, 191}, {24, 29}, {24, 30}, {24, 32}, {24, 34}, {24, 36}, {24, 39}, {24, 42}, {24, 48}, {24, 54}, {24, 56}, {24, 58}, {24, 63}, {24, 64}, {24, 67}, {24, 72}, {24, 74}, {24, 75}, {24, 83}, {24, 84}, {24, 88}, {24, 89}, {24, 92}, {24, 96}, {24, 102}, {24, 114}, {24, 120}, {24, 124}, {24, 127}, {24, 128}, {24, 132}, {24, 133}, {24, 141}, {24, 142}, {24, 144}, {24, 149}, {24, 152}, {24, 153}, {24, 158}, {24, 160}, {24, 162}, {24, 168}, {24, 174}, {24, 177}, {24, 180}, {24, 182}, {24, 184}, {24, 186}, {24, 187}, {25, 29}, {25, 30}, {25, 34}, {25, 38}, {25, 42}, {25, 43}, {25, 45}, {25, 48}, {25, 57}, {25, 59}, {25, 64}, {25, 71}, {25, 74}, {25, 75}, {25, 77}, {25, 84}, {25, 85}, {25, 89}, {25, 90}, {25, 92}, {25, 94}, {25, 100}, {25, 102}, {25, 106}, {25, 111}, {25, 115}, {25, 117}, {25, 123}, {25, 125}, {25, 127}, {25, 128}, {25, 132}, {25, 133}, {25, 140}, {25, 142}, {25, 143}, {25, 146}, {25, 153}, {25, 158}, {25, 160}, {25, 169}, {25, 172}, {25, 174}, {25, 175}, {25, 179}, {25, 183}, {25, 187}, {25, 188}, {26, 12}, {26, 15}, {26, 29}, {26, 30}, {26, 32}, {26, 34}, {26, 36}, {26, 38}, {26, 39}, {26, 42}, {26, 43}, {26, 56}, {26, 58}, {26, 62}, {26, 71}, {26, 72}, {26, 74}, {26, 75}, {26, 77}, {26, 85}, {26, 90}, {26, 94}, {26, 95}, {26, 106}, {26, 107}, {26, 111}, {26, 112}, {26, 123}, {26, 124}, {26, 128}, {26, 133}, {26, 141}, {26, 143}, {26, 144}, {26, 146}, {26, 147}, {26, 156}, {26, 160}, {26, 162}, {26, 175}, {26, 176}, {26, 179}, {26, 180}, {26, 182}, {26, 184}, {26, 186}, {26, 188}, {26, 189}, 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167}, {190, 171}, {190, 172}, {190, 174}, {190, 175}, {190, 177}, {190, 180}, {190, 182}, {190, 184}, {190, 186}, {190, 187}, {190, 188}, {190, 189}, {191, 2}, {191, 3}, {191, 4}, {191, 5}, {191, 6}, {191, 9}, {191, 10}, {191, 13}, {191, 16}, {191, 17}, {191, 18}, {191, 22}, {191, 24}, {191, 25}, {191, 26}, {191, 27}, {191, 29}, {191, 38}, {191, 40}, {191, 42}, {191, 46}, {191, 49}, {191, 50}, {191, 51}, {191, 52}, {191, 56}, {191, 57}, {191, 58}, {191, 60}, {191, 62}, {191, 63}, {191, 65}, {191, 68}, {191, 69}, {191, 71}, {191, 74}, {191, 78}, {191, 79}, {191, 80}, {191, 81}, {191, 83}, {191, 84}, {191, 86}, {191, 88}, {191, 89}, {191, 94}, {191, 95}, {191, 97}, {191, 98}, {191, 103}, {191, 104}, {191, 106}, {191, 108}, {191, 109}, {191, 111}, {191, 112}, {191, 113}, {191, 114}, {191, 118}, {191, 121}, {191, 123}, {191, 124}, {191, 127}, {191, 129}, {191, 130}, {191, 132}, {191, 134}, {191, 135}, {191, 136}, {191, 140}, {191, 141}, {191, 142}, {191, 143}, {191, 146}, {191, 150}, {191, 152}, {191, 154}, {191, 163}, {191, 165}, {191, 166}, {191, 167}, {191, 168}, {191, 170}, {191, 174}, {191, 175}, {191, 176}, {191, 179}, {191, 182}, {191, 183}, {191, 186}, {191, 187}, {191, 188}, {191, 189}, {191, 190}} -> ((-24*I)/857375)*(-I + Sqrt[191]) diff --git a/etf_99x199_6a.exa b/etf_99x199_6a.exa new file mode 100644 index 0000000..d177a7d --- /dev/null +++ b/etf_99x199_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {1, 20}, {1, 21}, {1, 22}, {1, 23}, {1, 24}, {1, 25}, {1, 26}, {1, 27}, {1, 28}, {1, 29}, {1, 30}, {1, 31}, {1, 32}, {1, 33}, {1, 34}, {1, 35}, {1, 36}, {1, 37}, {1, 38}, {1, 39}, {1, 40}, {1, 41}, {1, 42}, {1, 43}, {1, 44}, {1, 45}, {1, 46}, {1, 47}, {1, 48}, {1, 49}, {1, 50}, {1, 51}, {1, 52}, {1, 53}, {1, 54}, {1, 55}, {1, 56}, {1, 57}, {1, 58}, {1, 59}, {1, 60}, {1, 61}, {1, 62}, {1, 63}, {1, 64}, {1, 65}, {1, 66}, {1, 67}, {1, 68}, {1, 69}, {1, 70}, {1, 71}, {1, 72}, {1, 73}, {1, 74}, {1, 75}, {1, 76}, {1, 77}, {1, 78}, {1, 79}, {1, 80}, {1, 81}, {1, 82}, {1, 83}, {1, 84}, {1, 85}, {1, 86}, {1, 87}, {1, 88}, {1, 89}, {1, 90}, {1, 91}, {1, 92}, {1, 93}, {1, 94}, {1, 95}, {1, 96}, {1, 97}, {1, 98}, {1, 99}, {1, 100}, {1, 101}, {1, 102}, {1, 103}, {1, 104}, {1, 105}, {1, 106}, {1, 107}, {1, 108}, {1, 109}, {1, 110}, {1, 111}, {1, 112}, {1, 113}, {1, 114}, {1, 115}, {1, 116}, {1, 117}, {1, 118}, {1, 119}, {1, 120}, {1, 121}, {1, 122}, {1, 123}, {1, 124}, {1, 125}, {1, 126}, {1, 127}, {1, 128}, {1, 129}, {1, 130}, {1, 131}, {1, 132}, {1, 133}, {1, 134}, {1, 135}, {1, 136}, {1, 137}, {1, 138}, {1, 139}, {1, 140}, {1, 141}, {1, 142}, {1, 143}, {1, 144}, {1, 145}, {1, 146}, {1, 147}, {1, 148}, {1, 149}, {1, 150}, {1, 151}, {1, 152}, {1, 153}, {1, 154}, {1, 155}, {1, 156}, {1, 157}, {1, 158}, {1, 159}, {1, 160}, {1, 161}, {1, 162}, {1, 163}, {1, 164}, {1, 165}, {1, 166}, {1, 167}, {1, 168}, {1, 169}, {1, 170}, {1, 171}, {1, 172}, {1, 173}, {1, 174}, {1, 175}, {1, 176}, {1, 177}, {1, 178}, {1, 179}, {1, 180}, {1, 181}, {1, 182}, {1, 183}, {1, 184}, {1, 185}, {1, 186}, {1, 187}, {1, 188}, {1, 189}, {1, 190}, {1, 191}, {1, 192}, {1, 193}, {1, 194}, {1, 195}, {1, 196}, {1, 197}, {1, 198}, {1, 199}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}, {20, 1}, {20, 20}, {21, 1}, {21, 21}, {22, 1}, {22, 22}, {23, 1}, {23, 23}, {24, 1}, {24, 24}, {25, 1}, {25, 25}, {26, 1}, {26, 26}, {27, 1}, {27, 27}, {28, 1}, {28, 28}, {29, 1}, {29, 29}, {30, 1}, {30, 30}, {31, 1}, {31, 31}, {32, 1}, {32, 32}, {33, 1}, {33, 33}, {34, 1}, {34, 34}, {35, 1}, {35, 35}, {36, 1}, {36, 36}, {37, 1}, {37, 37}, {38, 1}, {38, 38}, {39, 1}, {39, 39}, {40, 1}, {40, 40}, {41, 1}, {41, 41}, {42, 1}, {42, 42}, {43, 1}, {43, 43}, {44, 1}, {44, 44}, {45, 1}, {45, 45}, {46, 1}, {46, 46}, {47, 1}, {47, 47}, {48, 1}, {48, 48}, {49, 1}, {49, 49}, {50, 1}, {50, 50}, {51, 1}, {51, 51}, {52, 1}, {52, 52}, {53, 1}, {53, 53}, {54, 1}, {54, 54}, {55, 1}, {55, 55}, {56, 1}, {56, 56}, {57, 1}, {57, 57}, {58, 1}, {58, 58}, {59, 1}, {59, 59}, {60, 1}, {60, 60}, {61, 1}, {61, 61}, {62, 1}, {62, 62}, {63, 1}, {63, 63}, {64, 1}, {64, 64}, {65, 1}, {65, 65}, {66, 1}, {66, 66}, {67, 1}, {67, 67}, {68, 1}, {68, 68}, {69, 1}, {69, 69}, {70, 1}, {70, 70}, {71, 1}, {71, 71}, {72, 1}, {72, 72}, {73, 1}, {73, 73}, {74, 1}, {74, 74}, {75, 1}, {75, 75}, {76, 1}, {76, 76}, {77, 1}, {77, 77}, {78, 1}, {78, 78}, {79, 1}, {79, 79}, {80, 1}, {80, 80}, {81, 1}, {81, 81}, {82, 1}, {82, 82}, {83, 1}, {83, 83}, {84, 1}, {84, 84}, {85, 1}, {85, 85}, {86, 1}, {86, 86}, {87, 1}, {87, 87}, {88, 1}, {88, 88}, {89, 1}, {89, 89}, {90, 1}, {90, 90}, {91, 1}, {91, 91}, {92, 1}, {92, 92}, {93, 1}, {93, 93}, {94, 1}, {94, 94}, {95, 1}, {95, 95}, {96, 1}, {96, 96}, {97, 1}, {97, 97}, {98, 1}, {98, 98}, {99, 1}, {99, 99}, {100, 1}, {100, 100}, {101, 1}, {101, 101}, {102, 1}, {102, 102}, {103, 1}, {103, 103}, {104, 1}, {104, 104}, {105, 1}, {105, 105}, {106, 1}, {106, 106}, {107, 1}, {107, 107}, {108, 1}, {108, 108}, {109, 1}, {109, 109}, {110, 1}, {110, 110}, {111, 1}, {111, 111}, {112, 1}, {112, 112}, {113, 1}, {113, 113}, {114, 1}, {114, 114}, {115, 1}, {115, 115}, {116, 1}, {116, 116}, {117, 1}, {117, 117}, {118, 1}, {118, 118}, {119, 1}, {119, 119}, {120, 1}, {120, 120}, {121, 1}, {121, 121}, {122, 1}, {122, 122}, {123, 1}, {123, 123}, {124, 1}, {124, 124}, {125, 1}, {125, 125}, {126, 1}, {126, 126}, {127, 1}, {127, 127}, {128, 1}, {128, 128}, {129, 1}, {129, 129}, {130, 1}, {130, 130}, {131, 1}, {131, 131}, {132, 1}, {132, 132}, {133, 1}, {133, 133}, {134, 1}, {134, 134}, {135, 1}, {135, 135}, {136, 1}, {136, 136}, {137, 1}, {137, 137}, {138, 1}, {138, 138}, {139, 1}, {139, 139}, {140, 1}, {140, 140}, {141, 1}, {141, 141}, {142, 1}, {142, 142}, {143, 1}, {143, 143}, {144, 1}, {144, 144}, {145, 1}, {145, 145}, {146, 1}, {146, 146}, {147, 1}, {147, 147}, {148, 1}, {148, 148}, {149, 1}, {149, 149}, {150, 1}, {150, 150}, {151, 1}, {151, 151}, {152, 1}, {152, 152}, {153, 1}, {153, 153}, {154, 1}, {154, 154}, {155, 1}, {155, 155}, {156, 1}, {156, 156}, {157, 1}, {157, 157}, {158, 1}, {158, 158}, {159, 1}, {159, 159}, {160, 1}, {160, 160}, {161, 1}, {161, 161}, {162, 1}, {162, 162}, {163, 1}, {163, 163}, {164, 1}, {164, 164}, {165, 1}, {165, 165}, {166, 1}, {166, 166}, {167, 1}, {167, 167}, {168, 1}, {168, 168}, {169, 1}, {169, 169}, {170, 1}, {170, 170}, {171, 1}, {171, 171}, {172, 1}, {172, 172}, {173, 1}, {173, 173}, {174, 1}, {174, 174}, {175, 1}, {175, 175}, {176, 1}, {176, 176}, {177, 1}, {177, 177}, {178, 1}, {178, 178}, {179, 1}, {179, 179}, {180, 1}, {180, 180}, {181, 1}, {181, 181}, {182, 1}, {182, 182}, {183, 1}, {183, 183}, {184, 1}, {184, 184}, {185, 1}, {185, 185}, {186, 1}, {186, 186}, {187, 1}, {187, 187}, {188, 1}, {188, 188}, {189, 1}, {189, 189}, {190, 1}, {190, 190}, {191, 1}, {191, 191}, {192, 1}, {192, 192}, {193, 1}, {193, 193}, {194, 1}, {194, 194}, {195, 1}, {195, 195}, {196, 1}, {196, 196}, {197, 1}, {197, 197}, {198, 1}, {198, 198}, {199, 1}, {199, 199}} -> 50/9801 +{{2, 4}, {2, 7}, {2, 12}, {2, 16}, {2, 18}, {2, 20}, {2, 22}, {2, 25}, {2, 28}, {2, 31}, {2, 35}, {2, 38}, {2, 42}, {2, 45}, {2, 49}, {2, 55}, {2, 60}, {2, 68}, {2, 72}, {2, 74}, {2, 83}, {2, 88}, {2, 94}, {2, 96}, {2, 100}, {2, 102}, {2, 106}, {2, 108}, {2, 114}, {2, 119}, {2, 128}, {2, 130}, {2, 134}, {2, 142}, {2, 147}, {2, 153}, {2, 157}, {2, 160}, {2, 164}, {2, 167}, {2, 171}, {2, 174}, {2, 177}, {2, 180}, {2, 182}, {2, 184}, {2, 186}, {2, 190}, {2, 195}, {2, 198}, {3, 4}, {3, 7}, {3, 12}, {3, 13}, {3, 16}, {3, 23}, {3, 28}, {3, 31}, {3, 35}, {3, 38}, {3, 39}, {3, 43}, {3, 49}, {3, 55}, {3, 56}, {3, 60}, {3, 61}, {3, 68}, {3, 69}, {3, 75}, {3, 83}, {3, 84}, {3, 89}, {3, 94}, {3, 97}, {3, 106}, {3, 109}, {3, 114}, {3, 119}, {3, 120}, {3, 128}, {3, 134}, {3, 135}, {3, 142}, {3, 143}, {3, 147}, {3, 148}, {3, 154}, {3, 160}, {3, 164}, {3, 165}, {3, 168}, {3, 172}, {3, 175}, {3, 180}, {3, 187}, {3, 190}, {3, 191}, {3, 196}, {3, 199}, {5, 7}, {5, 12}, {5, 13}, {5, 18}, {5, 23}, {5, 25}, {5, 28}, {5, 31}, {5, 38}, {5, 40}, {5, 45}, {5, 55}, {5, 56}, {5, 61}, {5, 68}, {5, 69}, {5, 70}, {5, 75}, {5, 77}, {5, 84}, {5, 85}, {5, 86}, {5, 94}, {5, 96}, {5, 97}, {5, 108}, {5, 109}, {5, 111}, {5, 119}, {5, 120}, {5, 121}, {5, 128}, {5, 130}, {5, 135}, {5, 136}, {5, 137}, {5, 144}, {5, 149}, {5, 150}, {5, 160}, {5, 165}, {5, 167}, {5, 174}, {5, 177}, {5, 180}, {5, 182}, {5, 187}, {5, 192}, {5, 193}, {5, 198}, {6, 7}, {6, 13}, {6, 16}, {6, 20}, {6, 22}, {6, 31}, {6, 35}, {6, 38}, {6, 39}, {6, 42}, {6, 49}, {6, 55}, {6, 56}, {6, 68}, {6, 69}, {6, 70}, {6, 72}, {6, 76}, {6, 78}, {6, 85}, {6, 86}, {6, 96}, {6, 97}, {6, 98}, {6, 100}, {6, 106}, {6, 108}, {6, 109}, {6, 110}, {6, 120}, {6, 121}, {6, 128}, {6, 130}, {6, 134}, {6, 136}, {6, 137}, {6, 138}, {6, 150}, {6, 151}, {6, 157}, {6, 164}, {6, 167}, {6, 168}, {6, 171}, {6, 175}, {6, 184}, {6, 186}, {6, 190}, {6, 193}, {6, 199}, {8, 12}, {8, 13}, {8, 16}, {8, 18}, {8, 22}, {8, 28}, {8, 31}, {8, 39}, {8, 40}, {8, 43}, {8, 55}, {8, 60}, {8, 61}, {8, 69}, {8, 70}, {8, 72}, {8, 74}, {8, 78}, {8, 88}, {8, 89}, {8, 94}, {8, 97}, {8, 98}, {8, 100}, {8, 102}, {8, 106}, {8, 108}, {8, 110}, {8, 111}, {8, 114}, {8, 119}, {8, 120}, {8, 130}, {8, 134}, {8, 136}, {8, 138}, {8, 139}, {8, 147}, {8, 148}, {8, 153}, {8, 165}, {8, 168}, {8, 169}, {8, 177}, {8, 180}, {8, 186}, {8, 190}, {8, 192}, {8, 195}, {8, 196}, {9, 13}, {9, 16}, {9, 18}, {9, 22}, {9, 23}, {9, 25}, {9, 35}, {9, 38}, {9, 40}, {9, 42}, {9, 45}, {9, 49}, {9, 55}, {9, 56}, {9, 60}, {9, 61}, {9, 70}, {9, 72}, {9, 74}, {9, 75}, {9, 79}, {9, 88}, {9, 89}, {9, 98}, {9, 100}, {9, 109}, {9, 111}, {9, 120}, {9, 121}, {9, 130}, {9, 134}, {9, 135}, {9, 137}, {9, 139}, {9, 148}, {9, 149}, {9, 153}, {9, 154}, {9, 160}, {9, 164}, {9, 167}, {9, 169}, {9, 171}, {9, 174}, {9, 184}, {9, 186}, {9, 187}, {9, 191}, {9, 193}, {9, 196}, {10, 4}, {10, 7}, {10, 12}, {10, 18}, {10, 20}, {10, 23}, {10, 28}, {10, 35}, {10, 38}, {10, 39}, {10, 42}, {10, 43}, {10, 45}, {10, 55}, {10, 56}, {10, 60}, {10, 61}, {10, 68}, {10, 72}, {10, 74}, {10, 75}, {10, 76}, {10, 89}, {10, 96}, {10, 100}, {10, 102}, {10, 108}, {10, 110}, {10, 114}, {10, 121}, {10, 134}, {10, 135}, {10, 136}, {10, 138}, {10, 142}, {10, 149}, {10, 150}, {10, 154}, {10, 155}, {10, 165}, {10, 167}, {10, 168}, {10, 171}, {10, 172}, {10, 175}, {10, 182}, {10, 187}, {10, 190}, {10, 192}, {10, 198}, {11, 12}, {11, 13}, {11, 16}, {11, 18}, {11, 20}, {11, 25}, {11, 31}, {11, 39}, {11, 40}, {11, 42}, {11, 43}, {11, 56}, {11, 60}, {11, 61}, {11, 68}, {11, 69}, {11, 72}, {11, 74}, {11, 75}, {11, 76}, {11, 77}, {11, 83}, {11, 97}, {11, 100}, {11, 102}, {11, 109}, {11, 111}, {11, 114}, {11, 128}, {11, 134}, {11, 135}, {11, 136}, {11, 137}, {11, 139}, {11, 142}, {11, 143}, {11, 150}, {11, 151}, {11, 155}, {11, 168}, {11, 169}, {11, 171}, {11, 172}, {11, 180}, {11, 186}, {11, 191}, {11, 193}, {11, 195}, {11, 198}, {11, 199}, {14, 16}, {14, 18}, {14, 22}, {14, 23}, {14, 28}, {14, 39}, {14, 40}, {14, 42}, {14, 43}, {14, 45}, {14, 49}, {14, 60}, {14, 61}, {14, 70}, {14, 72}, {14, 75}, {14, 76}, {14, 77}, {14, 78}, {14, 79}, {14, 84}, {14, 86}, {14, 94}, {14, 100}, {14, 106}, {14, 108}, {14, 114}, {14, 120}, {14, 128}, {14, 130}, {14, 135}, {14, 136}, {14, 137}, {14, 138}, {14, 139}, {14, 142}, {14, 144}, {14, 153}, {14, 154}, {14, 165}, {14, 169}, {14, 171}, {14, 172}, {14, 174}, {14, 175}, {14, 186}, {14, 191}, {14, 192}, {14, 196}, {14, 198}, {15, 4}, {15, 12}, {15, 16}, {15, 20}, {15, 22}, {15, 23}, {15, 25}, {15, 28}, {15, 31}, {15, 35}, {15, 38}, {15, 40}, {15, 43}, {15, 55}, {15, 60}, {15, 61}, {15, 68}, {15, 72}, {15, 76}, {15, 77}, {15, 78}, {15, 79}, {15, 85}, {15, 94}, {15, 96}, {15, 106}, {15, 109}, {15, 119}, {15, 121}, {15, 130}, {15, 136}, {15, 137}, {15, 138}, {15, 139}, {15, 143}, {15, 147}, {15, 154}, {15, 155}, {15, 160}, {15, 172}, {15, 175}, {15, 177}, {15, 180}, {15, 184}, {15, 187}, {15, 190}, {15, 192}, {15, 193}, {15, 195}, {15, 199}, {17, 18}, {17, 22}, {17, 25}, {17, 31}, {17, 35}, {17, 40}, {17, 42}, {17, 43}, {17, 45}, {17, 49}, {17, 60}, {17, 68}, {17, 69}, {17, 70}, {17, 74}, {17, 75}, {17, 78}, {17, 79}, {17, 83}, {17, 89}, {17, 96}, {17, 97}, {17, 98}, {17, 106}, {17, 108}, {17, 109}, {17, 111}, {17, 119}, {17, 120}, {17, 121}, {17, 128}, {17, 134}, {17, 138}, {17, 139}, {17, 142}, {17, 143}, {17, 147}, {17, 148}, {17, 149}, {17, 157}, {17, 168}, {17, 172}, {17, 174}, {17, 175}, {17, 177}, {17, 182}, {17, 186}, {17, 192}, {17, 195}, {17, 199}, {19, 4}, {19, 7}, {19, 13}, {19, 16}, {19, 20}, {19, 23}, {19, 28}, {19, 35}, {19, 39}, {19, 42}, {19, 45}, {19, 55}, {19, 68}, {19, 69}, {19, 70}, {19, 72}, {19, 75}, {19, 76}, {19, 77}, {19, 83}, {19, 84}, {19, 85}, {19, 89}, {19, 98}, {19, 100}, {19, 108}, {19, 109}, {19, 110}, {19, 111}, {19, 119}, {19, 121}, {19, 130}, {19, 134}, {19, 135}, {19, 136}, {19, 142}, {19, 143}, {19, 144}, {19, 147}, {19, 149}, {19, 150}, {19, 151}, {19, 164}, {19, 174}, {19, 177}, {19, 180}, {19, 184}, {19, 191}, {19, 196}, {19, 199}, {21, 4}, {21, 18}, {21, 22}, {21, 23}, {21, 25}, {21, 28}, {21, 31}, {21, 35}, {21, 39}, {21, 49}, {21, 56}, {21, 61}, {21, 68}, {21, 70}, {21, 72}, {21, 74}, {21, 77}, {21, 78}, {21, 79}, {21, 83}, {21, 84}, {21, 85}, {21, 86}, {21, 100}, {21, 102}, {21, 110}, {21, 111}, {21, 119}, {21, 121}, {21, 135}, {21, 136}, {21, 137}, {21, 138}, {21, 142}, {21, 143}, {21, 144}, {21, 147}, {21, 149}, {21, 151}, {21, 153}, {21, 160}, {21, 165}, {21, 172}, {21, 182}, {21, 186}, {21, 190}, {21, 193}, {21, 196}, {21, 198}, {21, 199}, {24, 7}, {24, 12}, {24, 13}, {24, 18}, {24, 25}, {24, 28}, {24, 31}, {24, 38}, {24, 40}, {24, 42}, {24, 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{187, 195}, {187, 196}, {188, 2}, {188, 3}, {188, 4}, {188, 5}, {188, 9}, {188, 13}, {188, 14}, {188, 15}, {188, 16}, {188, 17}, {188, 21}, {188, 23}, {188, 24}, {188, 28}, {188, 29}, {188, 31}, {188, 32}, {188, 34}, {188, 36}, {188, 41}, {188, 43}, {188, 46}, {188, 47}, {188, 49}, {188, 50}, {188, 51}, {188, 52}, {188, 53}, {188, 54}, {188, 56}, {188, 59}, {188, 60}, {188, 72}, {188, 74}, {188, 76}, {188, 77}, {188, 80}, {188, 81}, {188, 84}, {188, 85}, {188, 86}, {188, 87}, {188, 88}, {188, 91}, {188, 92}, {188, 93}, {188, 94}, {188, 95}, {188, 96}, {188, 97}, {188, 98}, {188, 101}, {188, 102}, {188, 103}, {188, 104}, {188, 105}, {188, 108}, {188, 109}, {188, 112}, {188, 113}, {188, 115}, {188, 117}, {188, 129}, {188, 130}, {188, 133}, {188, 135}, {188, 136}, {188, 137}, {188, 138}, {188, 139}, {188, 140}, {188, 142}, {188, 143}, {188, 146}, {188, 148}, {188, 153}, {188, 155}, {188, 157}, {188, 158}, {188, 160}, {188, 161}, {188, 165}, {188, 166}, {188, 168}, {188, 172}, {188, 173}, 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{197, 35}, {197, 39}, {197, 40}, {197, 41}, {197, 42}, {197, 44}, {197, 47}, {197, 48}, {197, 50}, {197, 51}, {197, 54}, {197, 59}, {197, 62}, {197, 63}, {197, 64}, {197, 69}, {197, 72}, {197, 74}, {197, 75}, {197, 76}, {197, 83}, {197, 85}, {197, 86}, {197, 87}, {197, 90}, {197, 92}, {197, 94}, {197, 97}, {197, 101}, {197, 104}, {197, 106}, {197, 108}, {197, 111}, {197, 112}, {197, 113}, {197, 115}, {197, 122}, {197, 123}, {197, 124}, {197, 126}, {197, 129}, {197, 134}, {197, 135}, {197, 136}, {197, 139}, {197, 144}, {197, 147}, {197, 148}, {197, 150}, {197, 151}, {197, 154}, {197, 156}, {197, 157}, {197, 158}, {197, 159}, {197, 163}, {197, 164}, {197, 165}, {197, 168}, {197, 169}, {197, 170}, {197, 171}, {197, 172}, {197, 173}, {197, 174}, {197, 176}, {197, 177}, {197, 178}, {197, 184}, {197, 185}, {197, 187}, {197, 190}, {197, 192}, {197, 193}, {197, 194}, {197, 195}, {197, 196}, {198, 4}, {198, 7}, {198, 12}, {198, 13}, {198, 22}, {198, 25}, {198, 28}, {198, 31}, {198, 35}, {198, 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{199, 193}, {199, 196}} -> ((25*I)/970299)*(I + Sqrt[199]) +{{2, 5}, {2, 8}, {2, 14}, {2, 17}, {2, 19}, {2, 21}, {2, 24}, {2, 26}, {2, 29}, {2, 32}, {2, 36}, {2, 41}, {2, 44}, {2, 46}, {2, 50}, {2, 57}, {2, 62}, {2, 71}, {2, 73}, {2, 80}, {2, 87}, {2, 90}, {2, 95}, {2, 99}, {2, 101}, {2, 103}, {2, 107}, {2, 112}, {2, 115}, {2, 122}, {2, 129}, {2, 131}, {2, 140}, {2, 145}, {2, 152}, {2, 156}, {2, 158}, {2, 161}, {2, 166}, {2, 170}, {2, 173}, {2, 176}, {2, 178}, {2, 181}, {2, 183}, {2, 185}, {2, 188}, {2, 194}, {2, 197}, {3, 2}, {3, 6}, {3, 9}, {3, 14}, {3, 15}, {3, 24}, {3, 27}, {3, 30}, {3, 33}, {3, 37}, {3, 41}, {3, 44}, {3, 47}, {3, 51}, {3, 57}, {3, 58}, {3, 62}, {3, 63}, {3, 71}, {3, 80}, {3, 81}, {3, 87}, {3, 90}, {3, 91}, {3, 99}, {3, 104}, {3, 112}, {3, 113}, {3, 116}, {3, 122}, {3, 123}, {3, 132}, {3, 140}, {3, 141}, {3, 145}, {3, 146}, {3, 152}, {3, 156}, {3, 159}, {3, 162}, {3, 166}, {3, 170}, {3, 173}, {3, 176}, {3, 179}, {3, 188}, {3, 189}, {3, 194}, {3, 197}, {4, 5}, {4, 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{197, 181}, {197, 183}, {197, 188}, {197, 189}, {198, 3}, {198, 6}, {198, 8}, {198, 9}, {198, 15}, {198, 16}, {198, 17}, {198, 18}, {198, 19}, {198, 20}, {198, 23}, {198, 24}, {198, 27}, {198, 30}, {198, 32}, {198, 34}, {198, 38}, {198, 40}, {198, 43}, {198, 44}, {198, 46}, {198, 48}, {198, 50}, {198, 51}, {198, 52}, {198, 57}, {198, 62}, {198, 63}, {198, 64}, {198, 65}, {198, 68}, {198, 70}, {198, 71}, {198, 72}, {198, 74}, {198, 75}, {198, 76}, {198, 77}, {198, 80}, {198, 83}, {198, 84}, {198, 86}, {198, 90}, {198, 91}, {198, 93}, {198, 94}, {198, 96}, {198, 98}, {198, 99}, {198, 100}, {198, 101}, {198, 103}, {198, 105}, {198, 106}, {198, 108}, {198, 109}, {198, 113}, {198, 115}, {198, 116}, {198, 119}, {198, 122}, {198, 123}, {198, 124}, {198, 125}, {198, 127}, {198, 128}, {198, 129}, {198, 131}, {198, 134}, {198, 135}, {198, 136}, {198, 137}, {198, 142}, {198, 147}, {198, 148}, {198, 149}, {198, 151}, {198, 153}, {198, 155}, {198, 156}, {198, 159}, {198, 161}, {198, 165}, {198, 167}, {198, 169}, {198, 172}, {198, 175}, {198, 176}, {198, 179}, {198, 180}, {198, 181}, {198, 182}, {198, 183}, {198, 184}, {198, 190}, {198, 191}, {198, 193}, {198, 196}, {199, 2}, {199, 5}, {199, 8}, {199, 9}, {199, 10}, {199, 12}, {199, 14}, {199, 22}, {199, 26}, {199, 29}, {199, 32}, {199, 33}, {199, 36}, {199, 38}, {199, 39}, {199, 42}, {199, 46}, {199, 47}, {199, 50}, {199, 51}, {199, 52}, {199, 53}, {199, 55}, {199, 57}, {199, 58}, {199, 60}, {199, 62}, {199, 63}, {199, 64}, {199, 65}, {199, 66}, {199, 68}, {199, 69}, {199, 74}, {199, 75}, {199, 76}, {199, 77}, {199, 78}, {199, 80}, {199, 81}, {199, 83}, {199, 84}, {199, 85}, {199, 88}, {199, 90}, {199, 91}, {199, 92}, {199, 96}, {199, 97}, {199, 103}, {199, 104}, {199, 108}, {199, 109}, {199, 110}, {199, 112}, {199, 115}, {199, 116}, {199, 117}, {199, 119}, {199, 120}, {199, 122}, {199, 123}, {199, 124}, {199, 125}, {199, 126}, {199, 131}, {199, 132}, {199, 134}, {199, 135}, {199, 136}, {199, 137}, {199, 138}, {199, 140}, {199, 142}, {199, 143}, {199, 145}, {199, 147}, {199, 148}, {199, 149}, {199, 150}, {199, 153}, {199, 154}, {199, 158}, {199, 161}, {199, 162}, {199, 164}, {199, 167}, {199, 168}, {199, 171}, {199, 174}, {199, 178}, {199, 186}, {199, 188}, {199, 190}, {199, 191}, {199, 192}, {199, 195}, {199, 198}} -> ((-25*I)/970299)*(-I + Sqrt[199]) diff --git a/etf_9x19_6a.exa b/etf_9x19_6a.exa new file mode 100644 index 0000000..3ea31ac --- /dev/null +++ b/etf_9x19_6a.exa @@ -0,0 +1,6 @@ +{{1, 1}} -> 1 +{{1, 2}, {1, 3}, {1, 4}, {1, 5}, {1, 6}, {1, 7}, {1, 8}, {1, 9}, {1, 10}, {1, 11}, {1, 12}, {1, 13}, {1, 14}, {1, 15}, {1, 16}, {1, 17}, {1, 18}, {1, 19}, {2, 1}, {2, 2}, {3, 1}, {3, 3}, {4, 1}, {4, 4}, {5, 1}, {5, 5}, {6, 1}, {6, 6}, {7, 1}, {7, 7}, {8, 1}, {8, 8}, {9, 1}, {9, 9}, {10, 1}, {10, 10}, {11, 1}, {11, 11}, {12, 1}, {12, 12}, {13, 1}, {13, 13}, {14, 1}, {14, 14}, {15, 1}, {15, 15}, {16, 1}, {16, 16}, {17, 1}, {17, 17}, {18, 1}, {18, 18}, {19, 1}, {19, 19}} -> 5/81 +{{2, 3}, {2, 9}, {2, 11}, {2, 13}, {2, 19}, {5, 3}, {5, 9}, {5, 11}, {5, 14}, {5, 16}, {6, 3}, {6, 4}, {6, 11}, {6, 13}, {6, 15}, {7, 4}, {7, 11}, {7, 13}, {7, 14}, {7, 16}, {8, 9}, {8, 13}, {8, 14}, {8, 15}, {8, 19}, {10, 11}, {10, 14}, {10, 15}, {10, 16}, {10, 19}, {12, 4}, {12, 9}, {12, 13}, {12, 16}, {12, 19}, {17, 3}, {17, 4}, {17, 9}, {17, 14}, {17, 15}, {18, 3}, {18, 4}, {18, 15}, {18, 16}, {18, 19}} -> (7 + (2*I)*Sqrt[19])/729 +{{3, 2}, {3, 5}, {3, 6}, {3, 17}, {3, 18}, {4, 6}, {4, 7}, {4, 12}, {4, 17}, {4, 18}, {9, 2}, {9, 5}, {9, 8}, {9, 12}, {9, 17}, {11, 2}, {11, 5}, {11, 6}, {11, 7}, {11, 10}, {13, 2}, {13, 6}, {13, 7}, {13, 8}, {13, 12}, {14, 5}, {14, 7}, {14, 8}, {14, 10}, {14, 17}, {15, 6}, {15, 8}, {15, 10}, {15, 17}, {15, 18}, {16, 5}, {16, 7}, {16, 10}, {16, 12}, {16, 18}, {19, 2}, {19, 8}, {19, 10}, {19, 12}, {19, 18}} -> (7 - (2*I)*Sqrt[19])/729 +{{2, 4}, {2, 6}, {2, 7}, {2, 8}, {2, 14}, {2, 15}, {2, 16}, {2, 18}, {3, 4}, {3, 9}, {3, 14}, {3, 19}, {4, 9}, {4, 11}, {4, 13}, {4, 15}, {5, 2}, {5, 4}, {5, 6}, {5, 10}, {5, 12}, {5, 13}, {5, 15}, {5, 19}, {6, 7}, {6, 9}, {6, 10}, {6, 12}, {6, 14}, {6, 16}, {6, 17}, {6, 19}, {7, 3}, {7, 5}, {7, 8}, {7, 9}, {7, 12}, {7, 15}, {7, 18}, {7, 19}, {8, 3}, {8, 4}, {8, 5}, {8, 6}, {8, 11}, {8, 12}, {8, 16}, {8, 17}, {9, 13}, {9, 14}, {9, 15}, {9, 16}, {10, 2}, {10, 3}, {10, 4}, {10, 7}, {10, 8}, {10, 9}, {10, 13}, {10, 17}, {11, 3}, {11, 9}, {11, 15}, {11, 16}, {12, 2}, {12, 3}, {12, 10}, {12, 11}, {12, 14}, {12, 15}, {12, 17}, {12, 18}, {13, 3}, {13, 11}, {13, 14}, {13, 19}, {14, 4}, {14, 11}, {14, 15}, {14, 19}, {15, 3}, {15, 13}, {15, 16}, {15, 19}, {16, 3}, {16, 4}, {16, 13}, {16, 14}, {17, 2}, {17, 5}, {17, 7}, {17, 11}, {17, 13}, {17, 16}, {17, 18}, {17, 19}, {18, 5}, {18, 6}, {18, 8}, {18, 9}, {18, 10}, {18, 11}, {18, 13}, {18, 14}, {19, 4}, {19, 9}, {19, 11}, {19, 16}} -> ((5*I)/1458)*(I + Sqrt[19]) +{{2, 5}, {2, 10}, {2, 12}, {2, 17}, {3, 7}, {3, 8}, {3, 10}, {3, 11}, {3, 12}, {3, 13}, {3, 15}, {3, 16}, {4, 2}, {4, 3}, {4, 5}, {4, 8}, {4, 10}, {4, 14}, {4, 16}, {4, 19}, {5, 7}, {5, 8}, {5, 17}, {5, 18}, {6, 2}, {6, 5}, {6, 8}, {6, 18}, {7, 2}, {7, 6}, {7, 10}, {7, 17}, {8, 2}, {8, 7}, {8, 10}, {8, 18}, {9, 3}, {9, 4}, {9, 6}, {9, 7}, {9, 10}, {9, 11}, {9, 18}, {9, 19}, {10, 5}, {10, 6}, {10, 12}, {10, 18}, {11, 4}, {11, 8}, {11, 12}, {11, 13}, {11, 14}, {11, 17}, {11, 18}, {11, 19}, {12, 5}, {12, 6}, {12, 7}, {12, 8}, {13, 4}, {13, 5}, {13, 9}, {13, 10}, {13, 15}, {13, 16}, {13, 17}, {13, 18}, {14, 2}, {14, 3}, {14, 6}, {14, 9}, {14, 12}, {14, 13}, {14, 16}, {14, 18}, {15, 2}, {15, 4}, {15, 5}, {15, 7}, {15, 9}, {15, 11}, {15, 12}, {15, 14}, {16, 2}, {16, 6}, {16, 8}, {16, 9}, {16, 11}, {16, 15}, {16, 17}, {16, 19}, {17, 6}, {17, 8}, {17, 10}, {17, 12}, {18, 2}, {18, 7}, {18, 12}, {18, 17}, {19, 3}, {19, 5}, {19, 6}, {19, 7}, {19, 13}, {19, 14}, {19, 15}, {19, 17}} -> ((-5*I)/1458)*(-I + Sqrt[19]) diff --git a/etf_9x19_6a.tp b/etf_9x19_6a.tp new file mode 100644 index 0000000..4aa93a9 --- /dev/null +++ b/etf_9x19_6a.tp @@ -0,0 +1,6 @@ +{{1, 1, 1}, {2, 2, 2}, {3, 3, 3}, {4, 4, 4}, {5, 5, 5}, {6, 6, 6}, {7, 7, 7}, {8, 8, 8}, {9, 9, 9}, {10, 10, 10}, {11, 11, 11}, {12, 12, 12}, {13, 13, 13}, {14, 14, 14}, {15, 15, 15}, {16, 16, 16}, {17, 17, 17}, {18, 18, 18}, {19, 19, 19}} -> 1 +{{1, 1, 2}, {1, 1, 3}, {1, 1, 4}, {1, 1, 5}, {1, 1, 6}, {1, 1, 7}, {1, 1, 8}, {1, 1, 9}, {1, 1, 10}, {1, 1, 11}, {1, 1, 12}, {1, 1, 13}, {1, 1, 14}, {1, 1, 15}, {1, 1, 16}, {1, 1, 17}, {1, 1, 18}, {1, 1, 19}, {1, 2, 1}, {1, 2, 2}, {1, 3, 1}, {1, 3, 3}, {1, 4, 1}, {1, 4, 4}, {1, 5, 1}, {1, 5, 5}, {1, 6, 1}, {1, 6, 6}, {1, 7, 1}, {1, 7, 7}, {1, 8, 1}, {1, 8, 8}, {1, 9, 1}, {1, 9, 9}, {1, 10, 1}, {1, 10, 10}, {1, 11, 1}, {1, 11, 11}, {1, 12, 1}, {1, 12, 12}, {1, 13, 1}, {1, 13, 13}, {1, 14, 1}, {1, 14, 14}, {1, 15, 1}, {1, 15, 15}, {1, 16, 1}, {1, 16, 16}, {1, 17, 1}, {1, 17, 17}, {1, 18, 1}, {1, 18, 18}, {1, 19, 1}, {1, 19, 19}, {2, 1, 1}, {2, 1, 2}, {2, 2, 1}, {2, 2, 3}, {2, 2, 4}, {2, 2, 5}, {2, 2, 6}, {2, 2, 7}, {2, 2, 8}, {2, 2, 9}, {2, 2, 10}, {2, 2, 11}, {2, 2, 12}, {2, 2, 13}, {2, 2, 14}, {2, 2, 15}, {2, 2, 16}, {2, 2, 17}, {2, 2, 18}, {2, 2, 19}, {2, 3, 2}, {2, 3, 3}, {2, 4, 2}, {2, 4, 4}, {2, 5, 2}, {2, 5, 5}, {2, 6, 2}, {2, 6, 6}, {2, 7, 2}, {2, 7, 7}, {2, 8, 2}, {2, 8, 8}, {2, 9, 2}, {2, 9, 9}, {2, 10, 2}, {2, 10, 10}, {2, 11, 2}, {2, 11, 11}, {2, 12, 2}, {2, 12, 12}, {2, 13, 2}, {2, 13, 13}, {2, 14, 2}, {2, 14, 14}, {2, 15, 2}, {2, 15, 15}, {2, 16, 2}, {2, 16, 16}, {2, 17, 2}, {2, 17, 17}, {2, 18, 2}, {2, 18, 18}, {2, 19, 2}, {2, 19, 19}, {3, 1, 1}, {3, 1, 3}, {3, 2, 2}, {3, 2, 3}, {3, 3, 1}, {3, 3, 2}, {3, 3, 4}, {3, 3, 5}, {3, 3, 6}, {3, 3, 7}, {3, 3, 8}, {3, 3, 9}, {3, 3, 10}, {3, 3, 11}, {3, 3, 12}, {3, 3, 13}, {3, 3, 14}, {3, 3, 15}, {3, 3, 16}, {3, 3, 17}, {3, 3, 18}, {3, 3, 19}, {3, 4, 3}, {3, 4, 4}, {3, 5, 3}, {3, 5, 5}, {3, 6, 3}, {3, 6, 6}, {3, 7, 3}, {3, 7, 7}, {3, 8, 3}, {3, 8, 8}, {3, 9, 3}, {3, 9, 9}, {3, 10, 3}, {3, 10, 10}, {3, 11, 3}, {3, 11, 11}, {3, 12, 3}, {3, 12, 12}, {3, 13, 3}, {3, 13, 13}, {3, 14, 3}, {3, 14, 14}, {3, 15, 3}, {3, 15, 15}, {3, 16, 3}, {3, 16, 16}, {3, 17, 3}, {3, 17, 17}, {3, 18, 3}, {3, 18, 18}, {3, 19, 3}, {3, 19, 19}, {4, 1, 1}, {4, 1, 4}, {4, 2, 2}, {4, 2, 4}, {4, 3, 3}, {4, 3, 4}, {4, 4, 1}, {4, 4, 2}, {4, 4, 3}, {4, 4, 5}, {4, 4, 6}, {4, 4, 7}, {4, 4, 8}, {4, 4, 9}, {4, 4, 10}, {4, 4, 11}, {4, 4, 12}, {4, 4, 13}, {4, 4, 14}, {4, 4, 15}, {4, 4, 16}, {4, 4, 17}, {4, 4, 18}, {4, 4, 19}, {4, 5, 4}, {4, 5, 5}, {4, 6, 4}, {4, 6, 6}, {4, 7, 4}, {4, 7, 7}, {4, 8, 4}, {4, 8, 8}, {4, 9, 4}, {4, 9, 9}, {4, 10, 4}, {4, 10, 10}, {4, 11, 4}, {4, 11, 11}, {4, 12, 4}, {4, 12, 12}, {4, 13, 4}, {4, 13, 13}, {4, 14, 4}, {4, 14, 14}, {4, 15, 4}, {4, 15, 15}, {4, 16, 4}, {4, 16, 16}, {4, 17, 4}, {4, 17, 17}, {4, 18, 4}, {4, 18, 18}, {4, 19, 4}, {4, 19, 19}, {5, 1, 1}, {5, 1, 5}, {5, 2, 2}, {5, 2, 5}, {5, 3, 3}, {5, 3, 5}, {5, 4, 4}, {5, 4, 5}, {5, 5, 1}, {5, 5, 2}, {5, 5, 3}, {5, 5, 4}, {5, 5, 6}, {5, 5, 7}, {5, 5, 8}, {5, 5, 9}, {5, 5, 10}, {5, 5, 11}, {5, 5, 12}, {5, 5, 13}, {5, 5, 14}, {5, 5, 15}, {5, 5, 16}, {5, 5, 17}, {5, 5, 18}, {5, 5, 19}, {5, 6, 5}, {5, 6, 6}, {5, 7, 5}, {5, 7, 7}, {5, 8, 5}, {5, 8, 8}, {5, 9, 5}, {5, 9, 9}, {5, 10, 5}, {5, 10, 10}, {5, 11, 5}, {5, 11, 11}, {5, 12, 5}, {5, 12, 12}, {5, 13, 5}, {5, 13, 13}, {5, 14, 5}, {5, 14, 14}, {5, 15, 5}, {5, 15, 15}, {5, 16, 5}, {5, 16, 16}, {5, 17, 5}, {5, 17, 17}, {5, 18, 5}, {5, 18, 18}, {5, 19, 5}, {5, 19, 19}, {6, 1, 1}, {6, 1, 6}, {6, 2, 2}, {6, 2, 6}, {6, 3, 3}, {6, 3, 6}, {6, 4, 4}, {6, 4, 6}, {6, 5, 5}, {6, 5, 6}, {6, 6, 1}, {6, 6, 2}, {6, 6, 3}, {6, 6, 4}, {6, 6, 5}, {6, 6, 7}, {6, 6, 8}, {6, 6, 9}, {6, 6, 10}, {6, 6, 11}, {6, 6, 12}, {6, 6, 13}, {6, 6, 14}, {6, 6, 15}, {6, 6, 16}, {6, 6, 17}, {6, 6, 18}, {6, 6, 19}, {6, 7, 6}, {6, 7, 7}, {6, 8, 6}, {6, 8, 8}, {6, 9, 6}, {6, 9, 9}, {6, 10, 6}, {6, 10, 10}, {6, 11, 6}, {6, 11, 11}, {6, 12, 6}, {6, 12, 12}, {6, 13, 6}, {6, 13, 13}, {6, 14, 6}, {6, 14, 14}, {6, 15, 6}, {6, 15, 15}, {6, 16, 6}, {6, 16, 16}, {6, 17, 6}, {6, 17, 17}, {6, 18, 6}, {6, 18, 18}, {6, 19, 6}, {6, 19, 19}, {7, 1, 1}, {7, 1, 7}, {7, 2, 2}, {7, 2, 7}, {7, 3, 3}, {7, 3, 7}, {7, 4, 4}, {7, 4, 7}, {7, 5, 5}, {7, 5, 7}, {7, 6, 6}, {7, 6, 7}, {7, 7, 1}, {7, 7, 2}, {7, 7, 3}, {7, 7, 4}, {7, 7, 5}, {7, 7, 6}, {7, 7, 8}, {7, 7, 9}, {7, 7, 10}, {7, 7, 11}, {7, 7, 12}, {7, 7, 13}, {7, 7, 14}, {7, 7, 15}, {7, 7, 16}, {7, 7, 17}, {7, 7, 18}, {7, 7, 19}, {7, 8, 7}, {7, 8, 8}, {7, 9, 7}, {7, 9, 9}, {7, 10, 7}, {7, 10, 10}, {7, 11, 7}, {7, 11, 11}, {7, 12, 7}, {7, 12, 12}, {7, 13, 7}, {7, 13, 13}, {7, 14, 7}, {7, 14, 14}, {7, 15, 7}, {7, 15, 15}, {7, 16, 7}, {7, 16, 16}, {7, 17, 7}, {7, 17, 17}, {7, 18, 7}, {7, 18, 18}, {7, 19, 7}, {7, 19, 19}, {8, 1, 1}, {8, 1, 8}, {8, 2, 2}, {8, 2, 8}, {8, 3, 3}, {8, 3, 8}, {8, 4, 4}, {8, 4, 8}, {8, 5, 5}, {8, 5, 8}, {8, 6, 6}, {8, 6, 8}, {8, 7, 7}, {8, 7, 8}, {8, 8, 1}, {8, 8, 2}, {8, 8, 3}, {8, 8, 4}, {8, 8, 5}, {8, 8, 6}, {8, 8, 7}, {8, 8, 9}, {8, 8, 10}, {8, 8, 11}, {8, 8, 12}, {8, 8, 13}, {8, 8, 14}, {8, 8, 15}, {8, 8, 16}, {8, 8, 17}, {8, 8, 18}, {8, 8, 19}, {8, 9, 8}, {8, 9, 9}, {8, 10, 8}, {8, 10, 10}, {8, 11, 8}, {8, 11, 11}, {8, 12, 8}, {8, 12, 12}, {8, 13, 8}, {8, 13, 13}, {8, 14, 8}, {8, 14, 14}, {8, 15, 8}, {8, 15, 15}, {8, 16, 8}, {8, 16, 16}, {8, 17, 8}, {8, 17, 17}, {8, 18, 8}, {8, 18, 18}, {8, 19, 8}, {8, 19, 19}, {9, 1, 1}, {9, 1, 9}, {9, 2, 2}, {9, 2, 9}, {9, 3, 3}, {9, 3, 9}, {9, 4, 4}, {9, 4, 9}, {9, 5, 5}, {9, 5, 9}, {9, 6, 6}, {9, 6, 9}, {9, 7, 7}, {9, 7, 9}, {9, 8, 8}, {9, 8, 9}, {9, 9, 1}, {9, 9, 2}, {9, 9, 3}, {9, 9, 4}, {9, 9, 5}, {9, 9, 6}, {9, 9, 7}, {9, 9, 8}, {9, 9, 10}, {9, 9, 11}, {9, 9, 12}, {9, 9, 13}, {9, 9, 14}, {9, 9, 15}, {9, 9, 16}, {9, 9, 17}, {9, 9, 18}, {9, 9, 19}, {9, 10, 9}, {9, 10, 10}, {9, 11, 9}, {9, 11, 11}, {9, 12, 9}, {9, 12, 12}, {9, 13, 9}, {9, 13, 13}, {9, 14, 9}, {9, 14, 14}, {9, 15, 9}, {9, 15, 15}, {9, 16, 9}, {9, 16, 16}, {9, 17, 9}, {9, 17, 17}, {9, 18, 9}, {9, 18, 18}, {9, 19, 9}, {9, 19, 19}, {10, 1, 1}, {10, 1, 10}, {10, 2, 2}, {10, 2, 10}, {10, 3, 3}, {10, 3, 10}, {10, 4, 4}, {10, 4, 10}, {10, 5, 5}, {10, 5, 10}, {10, 6, 6}, {10, 6, 10}, {10, 7, 7}, {10, 7, 10}, {10, 8, 8}, {10, 8, 10}, {10, 9, 9}, {10, 9, 10}, {10, 10, 1}, {10, 10, 2}, {10, 10, 3}, {10, 10, 4}, {10, 10, 5}, {10, 10, 6}, {10, 10, 7}, {10, 10, 8}, {10, 10, 9}, {10, 10, 11}, {10, 10, 12}, {10, 10, 13}, {10, 10, 14}, {10, 10, 15}, {10, 10, 16}, {10, 10, 17}, {10, 10, 18}, {10, 10, 19}, {10, 11, 10}, {10, 11, 11}, {10, 12, 10}, {10, 12, 12}, {10, 13, 10}, {10, 13, 13}, {10, 14, 10}, {10, 14, 14}, {10, 15, 10}, {10, 15, 15}, {10, 16, 10}, {10, 16, 16}, {10, 17, 10}, {10, 17, 17}, {10, 18, 10}, {10, 18, 18}, {10, 19, 10}, {10, 19, 19}, {11, 1, 1}, {11, 1, 11}, {11, 2, 2}, {11, 2, 11}, {11, 3, 3}, {11, 3, 11}, {11, 4, 4}, {11, 4, 11}, {11, 5, 5}, {11, 5, 11}, {11, 6, 6}, {11, 6, 11}, {11, 7, 7}, {11, 7, 11}, {11, 8, 8}, {11, 8, 11}, {11, 9, 9}, {11, 9, 11}, {11, 10, 10}, {11, 10, 11}, {11, 11, 1}, {11, 11, 2}, {11, 11, 3}, 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{16, 13, 5}, {16, 13, 10}, {16, 13, 11}, {16, 13, 18}, {16, 13, 19}, {16, 14, 11}, {16, 14, 12}, {16, 14, 15}, {16, 14, 18}, {16, 14, 19}, {16, 17, 5}, {16, 17, 7}, {16, 17, 9}, {16, 17, 15}, {16, 17, 18}, {17, 2, 6}, {17, 2, 8}, {17, 2, 11}, {17, 2, 13}, {17, 2, 19}, {17, 3, 1}, {17, 3, 8}, {17, 3, 10}, {17, 3, 12}, {17, 3, 19}, {17, 4, 1}, {17, 4, 8}, {17, 4, 10}, {17, 4, 11}, {17, 4, 13}, {17, 5, 6}, {17, 5, 10}, {17, 5, 11}, {17, 5, 12}, {17, 5, 16}, {17, 7, 8}, {17, 7, 11}, {17, 7, 12}, {17, 7, 13}, {17, 7, 16}, {17, 9, 1}, {17, 9, 6}, {17, 9, 10}, {17, 9, 13}, {17, 9, 16}, {17, 14, 1}, {17, 14, 6}, {17, 14, 11}, {17, 14, 12}, {17, 14, 19}, {17, 15, 1}, {17, 15, 12}, {17, 15, 13}, {17, 15, 16}, {17, 15, 19}, {17, 18, 6}, {17, 18, 8}, {17, 18, 10}, {17, 18, 16}, {17, 18, 19}, {18, 3, 1}, {18, 3, 7}, {18, 3, 9}, {18, 3, 12}, {18, 3, 14}, {18, 4, 1}, {18, 4, 2}, {18, 4, 9}, {18, 4, 11}, {18, 4, 13}, {18, 5, 2}, {18, 5, 9}, {18, 5, 11}, {18, 5, 12}, {18, 5, 14}, {18, 6, 7}, {18, 6, 11}, {18, 6, 12}, {18, 6, 13}, {18, 6, 17}, {18, 8, 9}, {18, 8, 12}, {18, 8, 13}, {18, 8, 14}, {18, 8, 17}, {18, 10, 2}, {18, 10, 7}, {18, 10, 11}, {18, 10, 14}, {18, 10, 17}, {18, 15, 1}, {18, 15, 2}, {18, 15, 7}, {18, 15, 12}, {18, 15, 13}, {18, 16, 1}, {18, 16, 2}, {18, 16, 13}, {18, 16, 14}, {18, 16, 17}, {18, 19, 1}, {18, 19, 7}, {18, 19, 9}, {18, 19, 11}, {18, 19, 17}, {19, 1, 2}, {19, 1, 8}, {19, 1, 10}, {19, 1, 12}, {19, 1, 18}, {19, 4, 2}, {19, 4, 8}, {19, 4, 10}, {19, 4, 13}, {19, 4, 15}, {19, 5, 2}, {19, 5, 3}, {19, 5, 10}, {19, 5, 12}, {19, 5, 14}, {19, 6, 3}, {19, 6, 10}, {19, 6, 12}, {19, 6, 13}, {19, 6, 15}, {19, 7, 8}, {19, 7, 12}, {19, 7, 13}, {19, 7, 14}, {19, 7, 18}, {19, 9, 10}, {19, 9, 13}, {19, 9, 14}, {19, 9, 15}, {19, 9, 18}, {19, 11, 3}, {19, 11, 8}, {19, 11, 12}, {19, 11, 15}, {19, 11, 18}, {19, 16, 2}, {19, 16, 3}, {19, 16, 8}, {19, 16, 13}, {19, 16, 14}, {19, 17, 2}, {19, 17, 3}, {19, 17, 14}, {19, 17, 15}, {19, 17, 18}} -> (7 + (2*I)*Sqrt[19])/729 +{{1, 3, 2}, {1, 3, 5}, {1, 3, 6}, {1, 3, 17}, {1, 3, 18}, {1, 4, 6}, {1, 4, 7}, {1, 4, 12}, {1, 4, 17}, {1, 4, 18}, {1, 9, 2}, {1, 9, 5}, {1, 9, 8}, {1, 9, 12}, {1, 9, 17}, {1, 11, 2}, {1, 11, 5}, {1, 11, 6}, {1, 11, 7}, {1, 11, 10}, {1, 13, 2}, {1, 13, 6}, {1, 13, 7}, {1, 13, 8}, {1, 13, 12}, {1, 14, 5}, {1, 14, 7}, {1, 14, 8}, {1, 14, 10}, {1, 14, 17}, {1, 15, 6}, {1, 15, 8}, {1, 15, 10}, {1, 15, 17}, {1, 15, 18}, {1, 16, 5}, {1, 16, 7}, {1, 16, 10}, {1, 16, 12}, {1, 16, 18}, {1, 19, 2}, {1, 19, 8}, {1, 19, 10}, {1, 19, 12}, {1, 19, 18}, {2, 1, 3}, {2, 1, 9}, {2, 1, 11}, {2, 1, 13}, {2, 1, 19}, {2, 4, 3}, {2, 4, 6}, {2, 4, 7}, {2, 4, 18}, {2, 4, 19}, {2, 5, 7}, {2, 5, 8}, {2, 5, 13}, {2, 5, 18}, {2, 5, 19}, {2, 10, 3}, {2, 10, 6}, {2, 10, 9}, {2, 10, 13}, {2, 10, 18}, {2, 12, 3}, {2, 12, 6}, {2, 12, 7}, {2, 12, 8}, {2, 12, 11}, {2, 14, 3}, {2, 14, 7}, {2, 14, 8}, {2, 14, 9}, {2, 14, 13}, {2, 15, 6}, {2, 15, 8}, {2, 15, 9}, {2, 15, 11}, {2, 15, 18}, {2, 16, 7}, {2, 16, 9}, {2, 16, 11}, {2, 16, 18}, {2, 16, 19}, {2, 17, 6}, {2, 17, 8}, {2, 17, 11}, {2, 17, 13}, {2, 17, 19}, {3, 2, 1}, {3, 2, 4}, {3, 2, 10}, {3, 2, 12}, {3, 2, 14}, {3, 5, 1}, {3, 5, 4}, {3, 5, 7}, {3, 5, 8}, {3, 5, 19}, {3, 6, 1}, {3, 6, 8}, {3, 6, 9}, {3, 6, 14}, {3, 6, 19}, {3, 11, 4}, {3, 11, 7}, {3, 11, 10}, {3, 11, 14}, {3, 11, 19}, {3, 13, 4}, {3, 13, 7}, {3, 13, 8}, {3, 13, 9}, {3, 13, 12}, {3, 15, 4}, {3, 15, 8}, {3, 15, 9}, {3, 15, 10}, {3, 15, 14}, {3, 16, 7}, {3, 16, 9}, {3, 16, 10}, {3, 16, 12}, {3, 16, 19}, {3, 17, 1}, {3, 17, 8}, {3, 17, 10}, {3, 17, 12}, {3, 17, 19}, {3, 18, 1}, {3, 18, 7}, {3, 18, 9}, {3, 18, 12}, {3, 18, 14}, {4, 3, 2}, {4, 3, 5}, {4, 3, 11}, {4, 3, 13}, {4, 3, 15}, {4, 6, 1}, {4, 6, 2}, {4, 6, 5}, {4, 6, 8}, {4, 6, 9}, {4, 7, 1}, {4, 7, 2}, {4, 7, 9}, {4, 7, 10}, {4, 7, 15}, {4, 12, 1}, {4, 12, 5}, {4, 12, 8}, {4, 12, 11}, {4, 12, 15}, {4, 14, 5}, {4, 14, 8}, {4, 14, 9}, {4, 14, 10}, {4, 14, 13}, {4, 16, 5}, {4, 16, 9}, {4, 16, 10}, {4, 16, 11}, {4, 16, 15}, {4, 17, 1}, 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{6, 9, 17}, {6, 14, 3}, {6, 14, 7}, {6, 14, 10}, {6, 14, 13}, {6, 14, 17}, {6, 16, 7}, {6, 16, 10}, {6, 16, 11}, {6, 16, 12}, {6, 16, 15}, {6, 18, 7}, {6, 18, 11}, {6, 18, 12}, {6, 18, 13}, {6, 18, 17}, {6, 19, 3}, {6, 19, 10}, {6, 19, 12}, {6, 19, 13}, {6, 19, 15}, {7, 1, 4}, {7, 1, 11}, {7, 1, 13}, {7, 1, 14}, {7, 1, 16}, {7, 2, 4}, {7, 2, 5}, {7, 2, 12}, {7, 2, 14}, {7, 2, 16}, {7, 3, 5}, {7, 3, 11}, {7, 3, 13}, {7, 3, 16}, {7, 3, 18}, {7, 6, 5}, {7, 6, 8}, {7, 6, 14}, {7, 6, 16}, {7, 6, 18}, {7, 9, 4}, {7, 9, 5}, {7, 9, 8}, {7, 9, 11}, {7, 9, 12}, {7, 10, 4}, {7, 10, 5}, {7, 10, 12}, {7, 10, 13}, {7, 10, 18}, {7, 15, 4}, {7, 15, 8}, {7, 15, 11}, {7, 15, 14}, {7, 15, 18}, {7, 17, 8}, {7, 17, 11}, {7, 17, 12}, {7, 17, 13}, {7, 17, 16}, {7, 19, 8}, {7, 19, 12}, {7, 19, 13}, {7, 19, 14}, {7, 19, 18}, {8, 1, 9}, {8, 1, 13}, {8, 1, 14}, {8, 1, 15}, {8, 1, 19}, {8, 2, 5}, {8, 2, 12}, {8, 2, 14}, {8, 2, 15}, {8, 2, 17}, {8, 3, 5}, {8, 3, 6}, {8, 3, 13}, {8, 3, 15}, {8, 3, 17}, {8, 4, 6}, 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{13, 9, 11}, {13, 9, 17}, {13, 9, 19}, {13, 12, 1}, {13, 12, 3}, {13, 12, 5}, {13, 12, 11}, {13, 12, 14}, {13, 15, 10}, {13, 15, 11}, {13, 15, 14}, {13, 15, 17}, {13, 15, 18}, {13, 16, 5}, {13, 16, 10}, {13, 16, 11}, {13, 16, 18}, {13, 16, 19}, {14, 3, 2}, {14, 3, 6}, {14, 3, 11}, {14, 3, 15}, {14, 3, 18}, {14, 5, 1}, {14, 5, 4}, {14, 5, 15}, {14, 5, 18}, {14, 5, 19}, {14, 7, 1}, {14, 7, 2}, {14, 7, 6}, {14, 7, 15}, {14, 7, 19}, {14, 8, 1}, {14, 8, 2}, {14, 8, 4}, {14, 8, 11}, {14, 8, 18}, {14, 9, 2}, {14, 9, 4}, {14, 9, 11}, {14, 9, 12}, {14, 9, 19}, {14, 10, 1}, {14, 10, 4}, {14, 10, 6}, {14, 10, 12}, {14, 10, 18}, {14, 13, 2}, {14, 13, 4}, {14, 13, 6}, {14, 13, 12}, {14, 13, 15}, {14, 16, 11}, {14, 16, 12}, {14, 16, 15}, {14, 16, 18}, {14, 16, 19}, {14, 17, 1}, {14, 17, 6}, {14, 17, 11}, {14, 17, 12}, {14, 17, 19}, {15, 4, 3}, {15, 4, 7}, {15, 4, 12}, {15, 4, 16}, {15, 4, 19}, {15, 6, 1}, {15, 6, 2}, {15, 6, 5}, {15, 6, 16}, {15, 6, 19}, {15, 8, 1}, {15, 8, 2}, {15, 8, 3}, {15, 8, 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{17, 1, 3}, {17, 1, 4}, {17, 1, 9}, {17, 1, 14}, {17, 1, 15}, {17, 6, 2}, {17, 6, 5}, {17, 6, 9}, {17, 6, 14}, {17, 6, 18}, {17, 8, 2}, {17, 8, 3}, {17, 8, 4}, {17, 8, 7}, {17, 8, 18}, {17, 10, 3}, {17, 10, 4}, {17, 10, 5}, {17, 10, 9}, {17, 10, 18}, {17, 11, 2}, {17, 11, 4}, {17, 11, 5}, {17, 11, 7}, {17, 11, 14}, {17, 12, 3}, {17, 12, 5}, {17, 12, 7}, {17, 12, 14}, {17, 12, 15}, {17, 13, 2}, {17, 13, 4}, {17, 13, 7}, {17, 13, 9}, {17, 13, 15}, {17, 16, 5}, {17, 16, 7}, {17, 16, 9}, {17, 16, 15}, {17, 16, 18}, {17, 19, 2}, {17, 19, 3}, {17, 19, 14}, {17, 19, 15}, {17, 19, 18}, {18, 1, 3}, {18, 1, 4}, {18, 1, 15}, {18, 1, 16}, {18, 1, 19}, {18, 2, 4}, {18, 2, 5}, {18, 2, 10}, {18, 2, 15}, {18, 2, 16}, {18, 7, 3}, {18, 7, 6}, {18, 7, 10}, {18, 7, 15}, {18, 7, 19}, {18, 9, 3}, {18, 9, 4}, {18, 9, 5}, {18, 9, 8}, {18, 9, 19}, {18, 11, 4}, {18, 11, 5}, {18, 11, 6}, {18, 11, 10}, {18, 11, 19}, {18, 12, 3}, {18, 12, 5}, {18, 12, 6}, {18, 12, 8}, {18, 12, 15}, {18, 13, 4}, {18, 13, 6}, {18, 13, 8}, {18, 13, 15}, {18, 13, 16}, {18, 14, 3}, {18, 14, 5}, {18, 14, 8}, {18, 14, 10}, {18, 14, 16}, {18, 17, 6}, {18, 17, 8}, {18, 17, 10}, {18, 17, 16}, {18, 17, 19}, {19, 2, 1}, {19, 2, 4}, {19, 2, 5}, {19, 2, 16}, {19, 2, 17}, {19, 3, 5}, {19, 3, 6}, {19, 3, 11}, {19, 3, 16}, {19, 3, 17}, {19, 8, 1}, {19, 8, 4}, {19, 8, 7}, {19, 8, 11}, {19, 8, 16}, {19, 10, 1}, {19, 10, 4}, {19, 10, 5}, {19, 10, 6}, {19, 10, 9}, {19, 12, 1}, {19, 12, 5}, {19, 12, 6}, {19, 12, 7}, {19, 12, 11}, {19, 13, 4}, {19, 13, 6}, {19, 13, 7}, {19, 13, 9}, {19, 13, 16}, {19, 14, 5}, {19, 14, 7}, {19, 14, 9}, {19, 14, 16}, {19, 14, 17}, {19, 15, 4}, {19, 15, 6}, {19, 15, 9}, {19, 15, 11}, {19, 15, 17}, {19, 18, 1}, {19, 18, 7}, {19, 18, 9}, {19, 18, 11}, {19, 18, 17}} -> (7 - (2*I)*Sqrt[19])/729 +{{1, 2, 4}, {1, 2, 6}, {1, 2, 7}, {1, 2, 8}, {1, 2, 14}, {1, 2, 15}, {1, 2, 16}, {1, 2, 18}, {1, 3, 4}, {1, 3, 9}, {1, 3, 14}, {1, 3, 19}, {1, 4, 9}, {1, 4, 11}, {1, 4, 13}, {1, 4, 15}, {1, 5, 2}, {1, 5, 4}, {1, 5, 6}, {1, 5, 10}, {1, 5, 12}, {1, 5, 13}, {1, 5, 15}, {1, 5, 19}, {1, 6, 7}, {1, 6, 9}, {1, 6, 10}, {1, 6, 12}, {1, 6, 14}, {1, 6, 16}, {1, 6, 17}, {1, 6, 19}, {1, 7, 3}, {1, 7, 5}, {1, 7, 8}, {1, 7, 9}, {1, 7, 12}, {1, 7, 15}, {1, 7, 18}, {1, 7, 19}, {1, 8, 3}, {1, 8, 4}, {1, 8, 5}, {1, 8, 6}, {1, 8, 11}, {1, 8, 12}, {1, 8, 16}, {1, 8, 17}, {1, 9, 13}, {1, 9, 14}, {1, 9, 15}, {1, 9, 16}, {1, 10, 2}, {1, 10, 3}, {1, 10, 4}, {1, 10, 7}, {1, 10, 8}, {1, 10, 9}, {1, 10, 13}, {1, 10, 17}, {1, 11, 3}, {1, 11, 9}, {1, 11, 15}, {1, 11, 16}, {1, 12, 2}, {1, 12, 3}, {1, 12, 10}, {1, 12, 11}, {1, 12, 14}, {1, 12, 15}, {1, 12, 17}, {1, 12, 18}, {1, 13, 3}, {1, 13, 11}, {1, 13, 14}, {1, 13, 19}, {1, 14, 4}, {1, 14, 11}, {1, 14, 15}, {1, 14, 19}, {1, 15, 3}, {1, 15, 13}, {1, 15, 16}, {1, 15, 19}, {1, 16, 3}, {1, 16, 4}, {1, 16, 13}, {1, 16, 14}, {1, 17, 2}, {1, 17, 5}, {1, 17, 7}, {1, 17, 11}, {1, 17, 13}, {1, 17, 16}, {1, 17, 18}, {1, 17, 19}, {1, 18, 5}, {1, 18, 6}, {1, 18, 8}, {1, 18, 9}, {1, 18, 10}, {1, 18, 11}, {1, 18, 13}, {1, 18, 14}, {1, 19, 4}, {1, 19, 9}, {1, 19, 11}, {1, 19, 16}, {2, 1, 5}, {2, 1, 10}, {2, 1, 12}, {2, 1, 17}, {2, 3, 5}, {2, 3, 7}, {2, 3, 8}, {2, 3, 9}, {2, 3, 15}, {2, 3, 16}, {2, 3, 17}, {2, 3, 19}, {2, 4, 1}, {2, 4, 5}, {2, 4, 10}, {2, 4, 15}, {2, 5, 10}, {2, 5, 12}, {2, 5, 14}, {2, 5, 16}, {2, 6, 1}, {2, 6, 3}, {2, 6, 5}, {2, 6, 7}, {2, 6, 11}, {2, 6, 13}, {2, 6, 14}, {2, 6, 16}, {2, 7, 1}, {2, 7, 8}, {2, 7, 10}, {2, 7, 11}, {2, 7, 13}, {2, 7, 15}, {2, 7, 17}, {2, 7, 18}, {2, 8, 1}, {2, 8, 4}, {2, 8, 6}, {2, 8, 9}, {2, 8, 10}, {2, 8, 13}, {2, 8, 16}, {2, 8, 19}, {2, 9, 4}, {2, 9, 5}, {2, 9, 6}, {2, 9, 7}, {2, 9, 12}, {2, 9, 13}, {2, 9, 17}, {2, 9, 18}, {2, 10, 14}, {2, 10, 15}, {2, 10, 16}, {2, 10, 17}, {2, 11, 3}, {2, 11, 4}, {2, 11, 5}, {2, 11, 8}, {2, 11, 9}, {2, 11, 10}, {2, 11, 14}, {2, 11, 18}, {2, 12, 4}, {2, 12, 10}, {2, 12, 16}, {2, 12, 17}, {2, 13, 3}, {2, 13, 4}, {2, 13, 11}, {2, 13, 12}, {2, 13, 15}, {2, 13, 16}, {2, 13, 18}, {2, 13, 19}, 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1, 6}, {16, 1, 8}, {16, 1, 9}, {16, 1, 11}, {16, 1, 15}, {16, 1, 17}, {16, 1, 19}, {16, 2, 3}, {16, 2, 5}, {16, 2, 6}, {16, 2, 8}, {16, 2, 10}, {16, 2, 12}, {16, 2, 13}, {16, 2, 15}, {16, 3, 1}, {16, 3, 4}, {16, 3, 5}, {16, 3, 8}, {16, 3, 11}, {16, 3, 14}, {16, 3, 15}, {16, 3, 18}, {16, 4, 1}, {16, 4, 2}, {16, 4, 7}, {16, 4, 8}, {16, 4, 12}, {16, 4, 13}, {16, 4, 18}, {16, 4, 19}, {16, 5, 9}, {16, 5, 10}, {16, 5, 11}, {16, 5, 12}, {16, 6, 3}, {16, 6, 4}, {16, 6, 5}, {16, 6, 9}, {16, 6, 13}, {16, 6, 17}, {16, 6, 18}, {16, 6, 19}, {16, 7, 5}, {16, 7, 11}, {16, 7, 12}, {16, 7, 18}, {16, 8, 6}, {16, 8, 7}, {16, 8, 10}, {16, 8, 11}, {16, 8, 13}, {16, 8, 14}, {16, 8, 17}, {16, 8, 18}, {16, 9, 7}, {16, 9, 10}, {16, 9, 15}, {16, 9, 18}, {16, 10, 7}, {16, 10, 11}, {16, 10, 15}, {16, 10, 19}, {16, 11, 9}, {16, 11, 12}, {16, 11, 15}, {16, 11, 18}, {16, 12, 9}, {16, 12, 10}, {16, 12, 18}, {16, 12, 19}, {16, 13, 1}, {16, 13, 3}, {16, 13, 7}, {16, 13, 9}, {16, 13, 12}, {16, 13, 14}, {16, 13, 15}, {16, 13, 17}, {16, 14, 1}, {16, 14, 2}, {16, 14, 4}, {16, 14, 5}, {16, 14, 6}, {16, 14, 7}, {16, 14, 9}, {16, 14, 10}, {16, 15, 5}, {16, 15, 7}, {16, 15, 12}, {16, 15, 19}, {16, 17, 2}, {16, 17, 3}, {16, 17, 4}, {16, 17, 10}, {16, 17, 11}, {16, 17, 12}, {16, 17, 14}, {16, 17, 19}, {16, 18, 5}, {16, 18, 10}, {16, 18, 15}, {16, 18, 19}, {16, 19, 5}, {16, 19, 7}, {16, 19, 9}, {16, 19, 11}, {17, 1, 6}, {17, 1, 8}, {17, 1, 10}, {17, 1, 12}, {17, 2, 1}, {17, 2, 3}, {17, 2, 7}, {17, 2, 9}, {17, 2, 10}, {17, 2, 12}, {17, 2, 16}, {17, 2, 18}, {17, 3, 4}, {17, 3, 6}, {17, 3, 7}, {17, 3, 9}, {17, 3, 11}, {17, 3, 13}, {17, 3, 14}, {17, 3, 16}, {17, 4, 2}, {17, 4, 5}, {17, 4, 6}, {17, 4, 9}, {17, 4, 12}, {17, 4, 15}, {17, 4, 16}, {17, 4, 19}, {17, 5, 1}, {17, 5, 2}, {17, 5, 3}, {17, 5, 8}, {17, 5, 9}, {17, 5, 13}, {17, 5, 14}, {17, 5, 19}, {17, 6, 10}, {17, 6, 11}, {17, 6, 12}, {17, 6, 13}, {17, 7, 1}, {17, 7, 4}, {17, 7, 5}, {17, 7, 6}, {17, 7, 10}, {17, 7, 14}, {17, 7, 18}, {17, 7, 19}, {17, 8, 6}, {17, 8, 12}, {17, 8, 13}, {17, 8, 19}, {17, 9, 7}, {17, 9, 8}, {17, 9, 11}, {17, 9, 12}, {17, 9, 14}, {17, 9, 15}, {17, 9, 18}, {17, 9, 19}, {17, 10, 8}, {17, 10, 11}, {17, 10, 16}, {17, 10, 19}, {17, 11, 1}, {17, 11, 8}, {17, 11, 12}, {17, 11, 16}, {17, 12, 10}, {17, 12, 13}, {17, 12, 16}, {17, 12, 19}, {17, 13, 1}, {17, 13, 10}, {17, 13, 11}, {17, 13, 19}, {17, 14, 2}, {17, 14, 4}, {17, 14, 8}, {17, 14, 10}, {17, 14, 13}, {17, 14, 15}, {17, 14, 16}, {17, 14, 18}, {17, 15, 2}, {17, 15, 3}, {17, 15, 5}, {17, 15, 6}, {17, 15, 7}, {17, 15, 8}, {17, 15, 10}, {17, 15, 11}, {17, 16, 1}, {17, 16, 6}, {17, 16, 8}, {17, 16, 13}, {17, 18, 1}, {17, 18, 3}, {17, 18, 4}, {17, 18, 5}, {17, 18, 11}, {17, 18, 12}, {17, 18, 13}, {17, 18, 15}, {17, 19, 1}, {17, 19, 6}, {17, 19, 11}, {17, 19, 16}, {18, 1, 2}, {18, 1, 7}, {18, 1, 12}, {18, 1, 17}, {18, 2, 7}, {18, 2, 9}, {18, 2, 11}, {18, 2, 13}, {18, 3, 2}, {18, 3, 4}, {18, 3, 8}, {18, 3, 10}, {18, 3, 11}, {18, 3, 13}, {18, 3, 17}, {18, 3, 19}, {18, 4, 5}, {18, 4, 7}, {18, 4, 8}, {18, 4, 10}, {18, 4, 12}, {18, 4, 14}, {18, 4, 15}, {18, 4, 17}, {18, 5, 1}, {18, 5, 3}, {18, 5, 6}, {18, 5, 7}, {18, 5, 10}, {18, 5, 13}, {18, 5, 16}, {18, 5, 17}, {18, 6, 1}, {18, 6, 2}, {18, 6, 3}, {18, 6, 4}, {18, 6, 9}, {18, 6, 10}, {18, 6, 14}, {18, 6, 15}, {18, 7, 11}, {18, 7, 12}, {18, 7, 13}, {18, 7, 14}, {18, 8, 1}, {18, 8, 2}, {18, 8, 5}, {18, 8, 6}, {18, 8, 7}, {18, 8, 11}, {18, 8, 15}, {18, 8, 19}, {18, 9, 1}, {18, 9, 7}, {18, 9, 13}, {18, 9, 14}, {18, 10, 1}, {18, 10, 8}, {18, 10, 9}, {18, 10, 12}, {18, 10, 13}, {18, 10, 15}, {18, 10, 16}, {18, 10, 19}, {18, 11, 1}, {18, 11, 9}, {18, 11, 12}, {18, 11, 17}, {18, 12, 2}, {18, 12, 9}, {18, 12, 13}, {18, 12, 17}, {18, 13, 1}, {18, 13, 11}, {18, 13, 14}, {18, 13, 17}, {18, 14, 1}, {18, 14, 2}, {18, 14, 11}, {18, 14, 12}, {18, 15, 3}, {18, 15, 5}, {18, 15, 9}, {18, 15, 11}, {18, 15, 14}, {18, 15, 16}, {18, 15, 17}, {18, 15, 19}, {18, 16, 3}, {18, 16, 4}, {18, 16, 6}, {18, 16, 7}, {18, 16, 8}, {18, 16, 9}, {18, 16, 11}, {18, 16, 12}, {18, 17, 2}, {18, 17, 7}, {18, 17, 9}, {18, 17, 14}, {18, 19, 2}, {18, 19, 4}, {18, 19, 5}, {18, 19, 6}, {18, 19, 12}, {18, 19, 13}, {18, 19, 14}, {18, 19, 16}, {19, 1, 3}, {19, 1, 5}, {19, 1, 6}, {19, 1, 7}, {19, 1, 13}, {19, 1, 14}, {19, 1, 15}, {19, 1, 17}, {19, 2, 3}, {19, 2, 8}, {19, 2, 13}, {19, 2, 18}, {19, 3, 8}, {19, 3, 10}, {19, 3, 12}, {19, 3, 14}, {19, 4, 1}, {19, 4, 3}, {19, 4, 5}, {19, 4, 9}, {19, 4, 11}, {19, 4, 12}, {19, 4, 14}, {19, 4, 18}, {19, 5, 6}, {19, 5, 8}, {19, 5, 9}, {19, 5, 11}, {19, 5, 13}, {19, 5, 15}, {19, 5, 16}, {19, 5, 18}, {19, 6, 2}, {19, 6, 4}, {19, 6, 7}, {19, 6, 8}, {19, 6, 11}, {19, 6, 14}, {19, 6, 17}, {19, 6, 18}, {19, 7, 2}, {19, 7, 3}, {19, 7, 4}, {19, 7, 5}, {19, 7, 10}, {19, 7, 11}, {19, 7, 15}, {19, 7, 16}, {19, 8, 12}, {19, 8, 13}, {19, 8, 14}, {19, 8, 15}, {19, 9, 1}, {19, 9, 2}, {19, 9, 3}, {19, 9, 6}, {19, 9, 7}, {19, 9, 8}, {19, 9, 12}, {19, 9, 16}, {19, 10, 2}, {19, 10, 8}, {19, 10, 14}, {19, 10, 15}, {19, 11, 1}, {19, 11, 2}, {19, 11, 9}, {19, 11, 10}, {19, 11, 13}, {19, 11, 14}, {19, 11, 16}, {19, 11, 17}, {19, 12, 2}, {19, 12, 10}, {19, 12, 13}, {19, 12, 18}, {19, 13, 3}, {19, 13, 10}, {19, 13, 14}, {19, 13, 18}, {19, 14, 2}, {19, 14, 12}, {19, 14, 15}, {19, 14, 18}, {19, 15, 2}, {19, 15, 3}, {19, 15, 12}, {19, 15, 13}, {19, 16, 1}, {19, 16, 4}, {19, 16, 6}, {19, 16, 10}, {19, 16, 12}, {19, 16, 15}, {19, 16, 17}, {19, 16, 18}, {19, 17, 4}, {19, 17, 5}, {19, 17, 7}, {19, 17, 8}, {19, 17, 9}, {19, 17, 10}, {19, 17, 12}, {19, 17, 13}, {19, 18, 3}, {19, 18, 8}, {19, 18, 10}, {19, 18, 15}} -> ((5*I)/1458)*(I + Sqrt[19]) +{{1, 2, 5}, {1, 2, 10}, {1, 2, 12}, {1, 2, 17}, {1, 3, 7}, {1, 3, 8}, {1, 3, 10}, {1, 3, 11}, {1, 3, 12}, {1, 3, 13}, {1, 3, 15}, {1, 3, 16}, {1, 4, 2}, {1, 4, 3}, {1, 4, 5}, {1, 4, 8}, {1, 4, 10}, {1, 4, 14}, {1, 4, 16}, {1, 4, 19}, {1, 5, 7}, {1, 5, 8}, {1, 5, 17}, {1, 5, 18}, {1, 6, 2}, {1, 6, 5}, {1, 6, 8}, {1, 6, 18}, {1, 7, 2}, {1, 7, 6}, {1, 7, 10}, {1, 7, 17}, {1, 8, 2}, {1, 8, 7}, {1, 8, 10}, {1, 8, 18}, {1, 9, 3}, {1, 9, 4}, {1, 9, 6}, {1, 9, 7}, {1, 9, 10}, {1, 9, 11}, {1, 9, 18}, {1, 9, 19}, {1, 10, 5}, {1, 10, 6}, {1, 10, 12}, {1, 10, 18}, {1, 11, 4}, {1, 11, 8}, {1, 11, 12}, {1, 11, 13}, {1, 11, 14}, {1, 11, 17}, {1, 11, 18}, {1, 11, 19}, {1, 12, 5}, {1, 12, 6}, {1, 12, 7}, {1, 12, 8}, {1, 13, 4}, {1, 13, 5}, {1, 13, 9}, {1, 13, 10}, {1, 13, 15}, {1, 13, 16}, {1, 13, 17}, {1, 13, 18}, {1, 14, 2}, {1, 14, 3}, {1, 14, 6}, {1, 14, 9}, {1, 14, 12}, {1, 14, 13}, {1, 14, 16}, {1, 14, 18}, {1, 15, 2}, {1, 15, 4}, {1, 15, 5}, {1, 15, 7}, {1, 15, 9}, {1, 15, 11}, {1, 15, 12}, {1, 15, 14}, {1, 16, 2}, {1, 16, 6}, {1, 16, 8}, {1, 16, 9}, {1, 16, 11}, {1, 16, 15}, {1, 16, 17}, {1, 16, 19}, {1, 17, 6}, {1, 17, 8}, {1, 17, 10}, {1, 17, 12}, {1, 18, 2}, {1, 18, 7}, {1, 18, 12}, {1, 18, 17}, {1, 19, 3}, {1, 19, 5}, {1, 19, 6}, {1, 19, 7}, {1, 19, 13}, {1, 19, 14}, {1, 19, 15}, {1, 19, 17}, {2, 1, 4}, {2, 1, 6}, {2, 1, 7}, {2, 1, 8}, {2, 1, 14}, {2, 1, 15}, {2, 1, 16}, {2, 1, 18}, {2, 3, 6}, {2, 3, 11}, {2, 3, 13}, {2, 3, 18}, {2, 4, 8}, {2, 4, 9}, {2, 4, 11}, {2, 4, 12}, {2, 4, 13}, {2, 4, 14}, {2, 4, 16}, {2, 4, 17}, {2, 5, 1}, {2, 5, 3}, {2, 5, 4}, {2, 5, 6}, {2, 5, 9}, {2, 5, 11}, {2, 5, 15}, {2, 5, 17}, {2, 6, 8}, {2, 6, 9}, {2, 6, 18}, {2, 6, 19}, {2, 7, 3}, {2, 7, 6}, {2, 7, 9}, {2, 7, 19}, {2, 8, 3}, {2, 8, 7}, {2, 8, 11}, {2, 8, 18}, {2, 9, 3}, {2, 9, 8}, {2, 9, 11}, {2, 9, 19}, {2, 10, 1}, {2, 10, 4}, {2, 10, 5}, {2, 10, 7}, {2, 10, 8}, {2, 10, 11}, {2, 10, 12}, {2, 10, 19}, {2, 11, 6}, {2, 11, 7}, {2, 11, 13}, {2, 11, 19}, {2, 12, 1}, {2, 12, 5}, {2, 12, 9}, {2, 12, 13}, {2, 12, 14}, {2, 12, 15}, {2, 12, 18}, {2, 12, 19}, {2, 13, 6}, {2, 13, 7}, {2, 13, 8}, {2, 13, 9}, {2, 14, 5}, {2, 14, 6}, {2, 14, 10}, {2, 14, 11}, {2, 14, 16}, {2, 14, 17}, {2, 14, 18}, {2, 14, 19}, {2, 15, 3}, {2, 15, 4}, {2, 15, 7}, {2, 15, 10}, {2, 15, 13}, {2, 15, 14}, {2, 15, 17}, {2, 15, 19}, {2, 16, 3}, {2, 16, 5}, {2, 16, 6}, {2, 16, 8}, {2, 16, 10}, {2, 16, 12}, {2, 16, 13}, {2, 16, 15}, {2, 17, 1}, {2, 17, 3}, {2, 17, 7}, {2, 17, 9}, {2, 17, 10}, {2, 17, 12}, {2, 17, 16}, {2, 17, 18}, {2, 18, 7}, {2, 18, 9}, {2, 18, 11}, {2, 18, 13}, {2, 19, 3}, {2, 19, 8}, {2, 19, 13}, {2, 19, 18}, {3, 1, 4}, {3, 1, 9}, {3, 1, 14}, {3, 1, 19}, {3, 2, 5}, {3, 2, 7}, {3, 2, 8}, {3, 2, 9}, {3, 2, 15}, {3, 2, 16}, {3, 2, 17}, {3, 2, 19}, {3, 4, 7}, {3, 4, 12}, {3, 4, 14}, {3, 4, 19}, {3, 5, 9}, {3, 5, 10}, {3, 5, 12}, {3, 5, 13}, {3, 5, 14}, {3, 5, 15}, {3, 5, 17}, {3, 5, 18}, {3, 6, 2}, {3, 6, 4}, {3, 6, 5}, {3, 6, 7}, {3, 6, 10}, {3, 6, 12}, {3, 6, 16}, {3, 6, 18}, {3, 7, 1}, {3, 7, 9}, {3, 7, 10}, {3, 7, 19}, {3, 8, 1}, {3, 8, 4}, {3, 8, 7}, {3, 8, 10}, {3, 9, 4}, {3, 9, 8}, {3, 9, 12}, {3, 9, 19}, {3, 10, 1}, {3, 10, 4}, {3, 10, 9}, {3, 10, 12}, {3, 11, 1}, {3, 11, 2}, {3, 11, 5}, {3, 11, 6}, {3, 11, 8}, {3, 11, 9}, {3, 11, 12}, {3, 11, 13}, {3, 12, 1}, {3, 12, 7}, {3, 12, 8}, {3, 12, 14}, {3, 13, 1}, {3, 13, 2}, {3, 13, 6}, {3, 13, 10}, {3, 13, 14}, {3, 13, 15}, {3, 13, 16}, {3, 13, 19}, {3, 14, 7}, {3, 14, 8}, {3, 14, 9}, {3, 14, 10}, {3, 15, 1}, {3, 15, 6}, {3, 15, 7}, {3, 15, 11}, {3, 15, 12}, {3, 15, 17}, {3, 15, 18}, {3, 15, 19}, {3, 16, 1}, {3, 16, 4}, {3, 16, 5}, {3, 16, 8}, {3, 16, 11}, {3, 16, 14}, {3, 16, 15}, {3, 16, 18}, {3, 17, 4}, {3, 17, 6}, {3, 17, 7}, {3, 17, 9}, {3, 17, 11}, {3, 17, 13}, {3, 17, 14}, {3, 17, 16}, {3, 18, 2}, {3, 18, 4}, {3, 18, 8}, {3, 18, 10}, {3, 18, 11}, {3, 18, 13}, {3, 18, 17}, {3, 18, 19}, {3, 19, 8}, {3, 19, 10}, {3, 19, 12}, {3, 19, 14}, {4, 1, 9}, {4, 1, 11}, {4, 1, 13}, {4, 1, 15}, {4, 2, 1}, {4, 2, 5}, {4, 2, 10}, {4, 2, 15}, {4, 3, 1}, {4, 3, 6}, {4, 3, 8}, {4, 3, 9}, {4, 3, 10}, {4, 3, 16}, {4, 3, 17}, {4, 3, 18}, {4, 5, 1}, {4, 5, 8}, {4, 5, 13}, {4, 5, 15}, {4, 6, 10}, {4, 6, 11}, {4, 6, 13}, {4, 6, 14}, {4, 6, 15}, {4, 6, 16}, {4, 6, 18}, {4, 6, 19}, {4, 7, 3}, {4, 7, 5}, {4, 7, 6}, {4, 7, 8}, {4, 7, 11}, {4, 7, 13}, {4, 7, 17}, {4, 7, 19}, {4, 8, 1}, {4, 8, 2}, 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9}, {14, 13, 11}, {14, 13, 16}, {14, 13, 18}, {14, 13, 19}, {14, 15, 4}, {14, 15, 6}, {14, 15, 11}, {14, 15, 18}, {14, 16, 1}, {14, 16, 2}, {14, 16, 4}, {14, 16, 5}, {14, 16, 6}, {14, 16, 7}, {14, 16, 9}, {14, 16, 10}, {14, 17, 2}, {14, 17, 4}, {14, 17, 8}, {14, 17, 10}, {14, 17, 13}, {14, 17, 15}, {14, 17, 16}, {14, 17, 18}, {14, 18, 1}, {14, 18, 2}, {14, 18, 11}, {14, 18, 12}, {14, 19, 2}, {14, 19, 12}, {14, 19, 15}, {14, 19, 18}, {15, 1, 3}, {15, 1, 13}, {15, 1, 16}, {15, 1, 19}, {15, 2, 1}, {15, 2, 5}, {15, 2, 12}, {15, 2, 16}, {15, 3, 2}, {15, 3, 5}, {15, 3, 13}, {15, 3, 16}, {15, 4, 1}, {15, 4, 2}, {15, 4, 5}, {15, 4, 6}, {15, 4, 13}, {15, 4, 14}, {15, 4, 17}, {15, 4, 18}, {15, 5, 1}, {15, 5, 7}, {15, 5, 13}, {15, 5, 19}, {15, 6, 3}, {15, 6, 7}, {15, 6, 8}, {15, 6, 9}, {15, 6, 12}, {15, 6, 13}, {15, 6, 14}, {15, 6, 18}, {15, 7, 1}, {15, 7, 2}, {15, 7, 3}, {15, 7, 19}, {15, 8, 4}, {15, 8, 5}, {15, 8, 10}, {15, 8, 11}, {15, 8, 12}, {15, 8, 13}, {15, 8, 18}, {15, 8, 19}, {15, 9, 1}, {15, 9, 4}, {15, 9, 7}, {15, 9, 8}, {15, 9, 11}, {15, 9, 13}, {15, 9, 16}, {15, 9, 17}, {15, 10, 2}, {15, 10, 4}, {15, 10, 6}, {15, 10, 7}, {15, 10, 9}, {15, 10, 16}, {15, 10, 18}, {15, 10, 19}, {15, 11, 1}, {15, 11, 3}, {15, 11, 4}, {15, 11, 6}, {15, 11, 10}, {15, 11, 12}, {15, 11, 14}, {15, 11, 16}, {15, 12, 1}, {15, 12, 3}, {15, 12, 5}, {15, 12, 7}, {15, 13, 2}, {15, 13, 7}, {15, 13, 12}, {15, 13, 16}, {15, 14, 1}, {15, 14, 2}, {15, 14, 8}, {15, 14, 9}, {15, 14, 10}, {15, 14, 12}, {15, 14, 17}, {15, 14, 19}, {15, 16, 5}, {15, 16, 7}, {15, 16, 12}, {15, 16, 19}, {15, 17, 2}, {15, 17, 3}, {15, 17, 5}, {15, 17, 6}, {15, 17, 7}, {15, 17, 8}, {15, 17, 10}, {15, 17, 11}, {15, 18, 3}, {15, 18, 5}, {15, 18, 9}, {15, 18, 11}, {15, 18, 14}, {15, 18, 16}, {15, 18, 17}, {15, 18, 19}, {15, 19, 2}, {15, 19, 3}, {15, 19, 12}, {15, 19, 13}, {16, 1, 3}, {16, 1, 4}, {16, 1, 13}, {16, 1, 14}, {16, 2, 1}, {16, 2, 4}, {16, 2, 14}, {16, 2, 17}, {16, 3, 2}, {16, 3, 6}, {16, 3, 13}, {16, 3, 17}, {16, 4, 3}, {16, 4, 6}, {16, 4, 14}, {16, 4, 17}, {16, 5, 2}, {16, 5, 3}, {16, 5, 6}, {16, 5, 7}, {16, 5, 14}, {16, 5, 15}, {16, 5, 18}, {16, 5, 19}, {16, 6, 1}, {16, 6, 2}, {16, 6, 8}, {16, 6, 14}, {16, 7, 4}, {16, 7, 8}, {16, 7, 9}, {16, 7, 10}, {16, 7, 13}, {16, 7, 14}, {16, 7, 15}, {16, 7, 19}, {16, 8, 1}, {16, 8, 2}, {16, 8, 3}, {16, 8, 4}, {16, 9, 1}, {16, 9, 5}, {16, 9, 6}, {16, 9, 11}, {16, 9, 12}, {16, 9, 13}, {16, 9, 14}, {16, 9, 19}, {16, 10, 2}, {16, 10, 5}, {16, 10, 8}, {16, 10, 9}, {16, 10, 12}, {16, 10, 14}, {16, 10, 17}, {16, 10, 18}, {16, 11, 1}, {16, 11, 3}, {16, 11, 5}, {16, 11, 7}, {16, 11, 8}, {16, 11, 10}, {16, 11, 17}, {16, 11, 19}, {16, 12, 2}, {16, 12, 4}, {16, 12, 5}, {16, 12, 7}, {16, 12, 11}, {16, 12, 13}, {16, 12, 15}, {16, 12, 17}, {16, 13, 2}, {16, 13, 4}, {16, 13, 6}, {16, 13, 8}, {16, 14, 3}, {16, 14, 8}, {16, 14, 13}, {16, 14, 17}, {16, 15, 1}, {16, 15, 2}, {16, 15, 3}, {16, 15, 9}, {16, 15, 10}, {16, 15, 11}, {16, 15, 13}, {16, 15, 18}, {16, 17, 1}, {16, 17, 6}, {16, 17, 8}, {16, 17, 13}, {16, 18, 3}, {16, 18, 4}, {16, 18, 6}, {16, 18, 7}, {16, 18, 8}, {16, 18, 9}, {16, 18, 11}, {16, 18, 12}, {16, 19, 1}, {16, 19, 4}, {16, 19, 6}, {16, 19, 10}, {16, 19, 12}, {16, 19, 15}, {16, 19, 17}, {16, 19, 18}, {17, 1, 2}, {17, 1, 5}, {17, 1, 7}, {17, 1, 11}, {17, 1, 13}, {17, 1, 16}, {17, 1, 18}, {17, 1, 19}, {17, 2, 4}, {17, 2, 5}, {17, 2, 14}, {17, 2, 15}, {17, 3, 2}, {17, 3, 5}, {17, 3, 15}, {17, 3, 18}, {17, 4, 3}, {17, 4, 7}, {17, 4, 14}, {17, 4, 18}, {17, 5, 4}, {17, 5, 7}, {17, 5, 15}, {17, 5, 18}, {17, 6, 1}, {17, 6, 3}, {17, 6, 4}, {17, 6, 7}, {17, 6, 8}, {17, 6, 15}, {17, 6, 16}, {17, 6, 19}, {17, 7, 2}, {17, 7, 3}, {17, 7, 9}, {17, 7, 15}, {17, 8, 1}, {17, 8, 5}, {17, 8, 9}, {17, 8, 10}, {17, 8, 11}, {17, 8, 14}, {17, 8, 15}, {17, 8, 16}, {17, 9, 2}, {17, 9, 3}, {17, 9, 4}, {17, 9, 5}, {17, 10, 1}, {17, 10, 2}, {17, 10, 6}, {17, 10, 7}, {17, 10, 12}, {17, 10, 13}, {17, 10, 14}, {17, 10, 15}, {17, 11, 3}, {17, 11, 6}, {17, 11, 9}, {17, 11, 10}, {17, 11, 13}, {17, 11, 15}, {17, 11, 18}, {17, 11, 19}, {17, 12, 1}, {17, 12, 2}, {17, 12, 4}, {17, 12, 6}, {17, 12, 8}, {17, 12, 9}, {17, 12, 11}, {17, 12, 18}, {17, 13, 3}, {17, 13, 5}, {17, 13, 6}, {17, 13, 8}, {17, 13, 12}, {17, 13, 14}, {17, 13, 16}, {17, 13, 18}, {17, 14, 3}, {17, 14, 5}, {17, 14, 7}, {17, 14, 9}, {17, 15, 4}, {17, 15, 9}, {17, 15, 14}, {17, 15, 18}, {17, 16, 2}, {17, 16, 3}, {17, 16, 4}, {17, 16, 10}, {17, 16, 11}, {17, 16, 12}, {17, 16, 14}, {17, 16, 19}, {17, 18, 2}, {17, 18, 7}, {17, 18, 9}, {17, 18, 14}, {17, 19, 4}, {17, 19, 5}, {17, 19, 7}, {17, 19, 8}, {17, 19, 9}, {17, 19, 10}, {17, 19, 12}, {17, 19, 13}, {18, 1, 5}, {18, 1, 6}, {18, 1, 8}, {18, 1, 9}, {18, 1, 10}, {18, 1, 11}, {18, 1, 13}, {18, 1, 14}, {18, 2, 1}, {18, 2, 3}, {18, 2, 6}, {18, 2, 8}, {18, 2, 12}, {18, 2, 14}, {18, 2, 17}, {18, 2, 19}, {18, 3, 5}, {18, 3, 6}, {18, 3, 15}, {18, 3, 16}, {18, 4, 3}, {18, 4, 6}, {18, 4, 16}, {18, 4, 19}, {18, 5, 4}, {18, 5, 8}, {18, 5, 15}, {18, 5, 19}, {18, 6, 5}, {18, 6, 8}, {18, 6, 16}, {18, 6, 19}, {18, 7, 1}, {18, 7, 2}, {18, 7, 4}, {18, 7, 5}, {18, 7, 8}, {18, 7, 9}, {18, 7, 16}, {18, 7, 17}, {18, 8, 3}, {18, 8, 4}, {18, 8, 10}, {18, 8, 16}, {18, 9, 2}, {18, 9, 6}, {18, 9, 10}, {18, 9, 11}, {18, 9, 12}, {18, 9, 15}, {18, 9, 16}, {18, 9, 17}, {18, 10, 3}, {18, 10, 4}, {18, 10, 5}, {18, 10, 6}, {18, 11, 2}, {18, 11, 3}, {18, 11, 7}, {18, 11, 8}, {18, 11, 13}, {18, 11, 14}, {18, 11, 15}, {18, 11, 16}, {18, 12, 1}, {18, 12, 4}, {18, 12, 7}, {18, 12, 10}, {18, 12, 11}, {18, 12, 14}, {18, 12, 16}, {18, 12, 19}, {18, 13, 2}, {18, 13, 3}, {18, 13, 5}, {18, 13, 7}, {18, 13, 9}, {18, 13, 10}, {18, 13, 12}, {18, 13, 19}, {18, 14, 4}, {18, 14, 6}, {18, 14, 7}, {18, 14, 9}, {18, 14, 13}, {18, 14, 15}, {18, 14, 17}, {18, 14, 19}, {18, 15, 4}, {18, 15, 6}, {18, 15, 8}, {18, 15, 10}, {18, 16, 5}, {18, 16, 10}, {18, 16, 15}, {18, 16, 19}, {18, 17, 1}, {18, 17, 3}, {18, 17, 4}, {18, 17, 5}, {18, 17, 11}, {18, 17, 12}, {18, 17, 13}, {18, 17, 15}, {18, 19, 3}, {18, 19, 8}, {18, 19, 10}, {18, 19, 15}, {19, 1, 4}, {19, 1, 9}, {19, 1, 11}, {19, 1, 16}, {19, 2, 6}, {19, 2, 7}, {19, 2, 9}, {19, 2, 10}, {19, 2, 11}, {19, 2, 12}, {19, 2, 14}, {19, 2, 15}, {19, 3, 1}, {19, 3, 2}, {19, 3, 4}, {19, 3, 7}, {19, 3, 9}, {19, 3, 13}, {19, 3, 15}, {19, 3, 18}, {19, 4, 6}, {19, 4, 7}, {19, 4, 16}, {19, 4, 17}, {19, 5, 1}, {19, 5, 4}, {19, 5, 7}, {19, 5, 17}, {19, 6, 1}, {19, 6, 5}, {19, 6, 9}, {19, 6, 16}, {19, 7, 1}, {19, 7, 6}, {19, 7, 9}, {19, 7, 17}, {19, 8, 2}, {19, 8, 3}, {19, 8, 5}, {19, 8, 6}, {19, 8, 9}, {19, 8, 10}, {19, 8, 17}, {19, 8, 18}, {19, 9, 4}, {19, 9, 5}, {19, 9, 11}, {19, 9, 17}, {19, 10, 3}, {19, 10, 7}, {19, 10, 11}, {19, 10, 12}, {19, 10, 13}, {19, 10, 16}, {19, 10, 17}, {19, 10, 18}, {19, 11, 4}, {19, 11, 5}, {19, 11, 6}, {19, 11, 7}, {19, 12, 3}, {19, 12, 4}, {19, 12, 8}, {19, 12, 9}, {19, 12, 14}, {19, 12, 15}, {19, 12, 16}, {19, 12, 17}, {19, 13, 1}, {19, 13, 2}, {19, 13, 5}, {19, 13, 8}, {19, 13, 11}, {19, 13, 12}, {19, 13, 15}, {19, 13, 17}, {19, 14, 1}, {19, 14, 3}, {19, 14, 4}, {19, 14, 6}, {19, 14, 8}, {19, 14, 10}, {19, 14, 11}, {19, 14, 13}, {19, 15, 1}, {19, 15, 5}, {19, 15, 7}, {19, 15, 8}, {19, 15, 10}, {19, 15, 14}, {19, 15, 16}, {19, 15, 18}, {19, 16, 5}, {19, 16, 7}, {19, 16, 9}, {19, 16, 11}, {19, 17, 1}, {19, 17, 6}, {19, 17, 11}, {19, 17, 16}, {19, 18, 2}, {19, 18, 4}, {19, 18, 5}, {19, 18, 6}, {19, 18, 12}, {19, 18, 13}, {19, 18, 14}, {19, 18, 16}} -> ((-5*I)/1458)*(-I + Sqrt[19])