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Label Polynomial Discriminant Galois group Class group
14.0.37646150962065408.1 x14 - x13 + 4x12 - 5x11 + 11x10 - 14x9 + 21x8 - 33x7 + 30x6 - 29x5 + 29x4 - 8x3 + 13x2 - x + 1 \( -\,2^{12}\cdot 3^{13}\cdot 7^{8} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.52986177566328125.1 x14 - x7 - 1 \( 5^{7}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.74180648592859375.1 x14 + 7x10 + 14x8 - x7 + 14x6 - 7x5 + 28x4 + 21x2 + 7x + 2 \( -\,5^{6}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.74384733888000000.1 x14 - 2x13 - 2x12 + 4x11 + 10x10 - 14x9 - 18x7 + 36x6 - 8x5 - 20x4 + 16x3 + 4x2 - 8x + 4 \( -\,2^{12}\cdot 3^{19}\cdot 5^{6} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.113532395952801007.1 x14 - x13 - 6x12 + 8x11 + 8x10 - 26x9 + 21x8 + 29x7 - 46x6 + 20x5 + 14x4 - 20x3 + 17x2 - 11x + 8 \( -\,7^{7}\cdot 13^{10} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.123974556480000000.1 x14 + x12 - 3x10 + 5x8 - x6 - 21x4 + 19x2 - 5 \( 2^{12}\cdot 3^{18}\cdot 5^{7} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.150584603848261632.1 x14 - 2x13 + 4x12 - 4x11 - x10 + 2x9 - 12x8 + 12x7 + 3x6 + 14x5 + 20x4 + 20x3 + 10x2 + 28x + 1 \( 2^{14}\cdot 3^{13}\cdot 7^{8} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.169587644696673903.1 x14 + 7x12 - 14x11 + 14x10 + 21x8 - 30x7 + 21x6 + 14x4 - 14x3 + 7x2 + 1 \( -\,3^{6}\cdot 7^{17} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.210845878198059013.1 x14 - 7x13 + 26x12 - 62x11 + 106x10 - 140x9 + 157x8 - 154x7 + 112x6 - 16x5 - 87x4 + 122x3 - 81x2 + 28x - 4 \( 7^{6}\cdot 13^{11} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.508762934090021709.1 x14 - 14x11 + 7x10 + 14x9 + 35x8 - 23x7 - 49x6 + 28x4 + 35x3 + 21x2 + 7x + 1 \( 3^{7}\cdot 7^{17} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.711168436835713024.1 x14 - 2x7 + 2 \( -\,2^{20}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.1081306644173836227.1 x14 - 3x7 + 3 \( -\,3^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.1844661397141204992.1 x14 - 12x7 + 48 \( -\,2^{12}\cdot 3^{13}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.4978179057849991168.1 x14 - 7x12 + 21x10 - 35x8 - 2x7 + 35x6 + 14x5 - 21x4 - 14x3 + 7x2 - 14x + 1 \( 2^{20}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.6075489731873845248.1 x14 - 2x7 + 4 \( -\,2^{12}\cdot 3^{7}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.12912629779988434944.1 x14 - x13 - 2x12 + 7x11 - 13x10 - 26x9 + 63x8 + 39x7 - 105x6 + 4x5 + 71x4 - 77x3 + 52x2 - x - 17 \( 2^{12}\cdot 3^{13}\cdot 7^{11} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.42528428123116916736.1 x14 + 7x12 + 35x10 - 21x8 - 280x7 - 21x6 + 784x5 - 175x4 - 728x3 + 301x2 + 196x - 119 \( 2^{12}\cdot 3^{7}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.91029559914971267072.1 x14 + 2 \( -\,2^{27}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.91029559914971267072.1 x14 - 2 \( 2^{27}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.157411105889382825984.1 x14 - 6x7 + 18 \( -\,2^{20}\cdot 3^{12}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.217031383311680000000.1 x14 - 58x7 - 4 \( 2^{12}\cdot 5^{7}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.472233317668148477952.1 x14 - 48 \( 2^{20}\cdot 3^{13}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.637206919404798869504.1 x14 + 14x12 + 84x10 + 280x8 + 560x6 + 672x4 + 448x2 + 126 \( -\,2^{27}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) $[4]$
14.2.637206919404798869504.1 x14 - 14x12 + 84x10 - 280x8 + 560x6 - 672x4 + 448x2 - 126 \( 2^{27}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.827909024473876953125.1 x14 - 5 \( 5^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.2.1101877741225679781888.1 x14 - 16x12 - 12x11 + 90x10 + 168x9 + 4x8 - 318x7 - 418x6 - 72x5 + 36x4 - 168x3 + 52x2 - 24x + 2 \( 2^{20}\cdot 3^{12}\cdot 7^{11} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.1412376245000000000000.1 x14 - 80 \( 2^{12}\cdot 5^{13}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.1519219683181760000000.1 x14 - 7x13 + 14x12 - 7x11 + 91x10 - 616x9 + 1869x8 - 3805x7 + 6965x6 - 13006x5 + 20615x4 - 24689x3 + 22526x2 - 15855x + 8635 \( -\,2^{12}\cdot 5^{7}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) $[2]$
14.2.1555325371359704383488.1 x14 - 142x7 - 2 \( 2^{20}\cdot 3^{7}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.3305633223677039345664.1 x14 + 12x12 + 60x10 + 132x8 + 72x6 - 60x4 + 204x2 + 84 \( -\,2^{20}\cdot 3^{13}\cdot 7^{11} \) $F_7 \times C_2$ (as 14T7) $[2, 2]$ (GRH)
14.0.4429032014536033185792.1 x14 - 24x7 + 192 \( -\,2^{12}\cdot 3^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.4429032014536033185792.2 x14 - 18x7 + 108 \( -\,2^{12}\cdot 3^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.4429032014536033185792.3 x14 - 6x7 + 36 \( -\,2^{12}\cdot 3^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.4429032014536033185792.4 x14 - 6x7 + 12 \( -\,2^{12}\cdot 3^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.5905376019381377581056.1 x14 + 9 \( -\,2^{14}\cdot 3^{12}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.9886633715000000000000.1 x14 - 7x13 + 34x12 - 103x11 + 271x10 - 546x9 + 977x8 - 1399x7 + 1723x6 - 1766x5 + 1549x4 - 1183x3 + 766x2 - 307x + 99 \( -\,2^{12}\cdot 5^{13}\cdot 7^{11} \) $F_7 \times C_2$ (as 14T7) $[2]$ (GRH)
14.0.10887277599517930684416.1 x14 + 21x12 + 189x10 + 945x8 - 142x7 + 2835x6 - 630x5 + 5103x4 - 882x3 + 5103x2 - 378x + 2185 \( -\,2^{20}\cdot 3^{7}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) $[2, 2]$ (GRH)
14.2.17716128058144132743168.1 x14 - 3 \( 2^{14}\cdot 3^{13}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) Trivial
14.0.20148621553841001725952.1 x14 + 18 \( -\,2^{27}\cdot 3^{12}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.20148621553841001725952.1 x14 - 18 \( 2^{27}\cdot 3^{12}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.31003224101752232300544.1 x14 - 7x13 + 28x12 - 77x11 + 119x10 + 112x9 - 777x8 + 1209x7 - 777x6 + 112x5 + 119x4 - 77x3 + 28x2 - 7x + 1 \( 2^{12}\cdot 3^{13}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.31003224101752232300544.2 x14 - 7x13 + 28x12 - 77x11 + 203x10 - 476x9 + 315x8 + 1035x7 - 1869x6 + 532x5 + 707x4 - 413x3 + 1666x2 - 1645x - 1097 \( 2^{12}\cdot 3^{13}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.31003224101752232300544.3 x14 - 7x13 + 28x12 - 77x11 + 119x10 - 14x9 - 483x8 + 1455x7 - 2415x6 + 2800x5 - 2275x4 + 1267x3 - 434x2 + 77x - 5 \( 2^{12}\cdot 3^{13}\cdot 7^{15} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.2.48038057217218880000000.1 x14 - 522x7 - 324 \( 2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.53009664910029939756127.1 x14 - x12 - 3x11 + 24x10 - 39x9 + 106x8 + 69x7 + 225x6 - 123x5 + 585x4 - 290x3 - 421x2 + 89x + 382 \( -\,7^{11}\cdot 173^{6} \) $F_7 \times C_2$ (as 14T7) $[14]$
14.0.54135394290704057053184.1 x14 - 166x7 + 8748 \( -\,2^{12}\cdot 7^{14}\cdot 11^{7} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
14.0.55560034127790080000000.1 x14 - 26x7 + 4374 \( -\,2^{20}\cdot 5^{7}\cdot 7^{14} \) $F_7 \times C_2$ (as 14T7) $[2]$ (GRH)
14.0.57616882545504610418688.1 x14 - 2x13 + 13x12 - 10x11 + 83x10 - 46x9 + 336x8 - 18x7 + 789x6 - 16x5 + 1118x4 + 344x3 + 625x2 - 92x + 16 \( -\,2^{18}\cdot 3^{13}\cdot 13^{10} \) $F_7 \times C_2$ (as 14T7) $[7]$ (GRH)
14.0.60445864661523005177856.1 x14 + 864 \( -\,2^{27}\cdot 3^{13}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) $[2]$ (GRH)
14.2.60445864661523005177856.1 x14 - 864 \( 2^{27}\cdot 3^{13}\cdot 7^{10} \) $F_7 \times C_2$ (as 14T7) Trivial (GRH)
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