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Label Polynomial Discriminant Galois group Class group
18.0.923324627983045303.1 x18 - 4x17 + 10x16 - 17x15 + 24x14 - 28x13 + 28x12 - 22x11 + 14x10 - 8x9 + 5x8 - 3x7 + 2x6 - 3x5 + 2x4 + x3 - 2x2 + 1 \( -\,31^{6}\cdot 463\cdot 1499^{2} \) 18T912 Trivial
18.0.1115906277282951168.1 x18 - 4x17 + 14x16 - 31x15 + 64x14 - 100x13 + 146x12 - 176x11 + 202x10 - 205x9 + 202x8 - 176x7 + 146x6 - 100x5 + 64x4 - 31x3 + 14x2 - 4x + 1 \( -\,2^{12}\cdot 3^{9}\cdot 7^{12} \) 18T3 Trivial
18.0.1186012071116620699.1 x18 - 5x17 + 16x16 - 39x15 + 80x14 - 141x13 + 221x12 - 312x11 + 400x10 - 465x9 + 489x8 - 463x7 + 395x6 - 300x5 + 195x4 - 101x3 + 38x2 - 9x + 1 \( -\,7^{4}\cdot 139\cdot 1373^{4} \) 18T966 Trivial
18.0.1198241002273018867.1 x18 - 4x17 + 9x16 - 14x15 + 17x14 - 16x13 + 15x12 - 23x11 + 45x10 - 65x9 + 62x8 - 40x7 + 29x6 - 39x5 + 49x4 - 41x3 + 22x2 - 7x + 1 \( -\,31^{6}\cdot 67^{5} \) 18T284 Trivial
18.0.1417200615982289707.1 x18 - 3x17 + 6x16 - 9x15 + 12x14 - 15x13 + 21x12 - 29x11 + 36x10 - 38x9 + 36x8 - 32x7 + 31x6 - 32x5 + 30x4 - 23x3 + 13x2 - 5x + 1 \( -\,23^{6}\cdot 43^{3}\cdot 347^{2} \) 18T556 Trivial
18.0.1548507685660102467.1 x18 + 9x16 - 9x15 + 36x14 - 63x13 + 109x12 - 189x11 + 252x10 - 335x9 + 378x8 - 378x7 + 334x6 - 243x5 + 147x4 - 67x3 + 21x2 - 3x + 1 \( -\,3^{21}\cdot 23^{6} \) 18T57 Trivial
18.0.1678237502892756571.1 x18 - 2x17 + x16 + 5x15 - 10x14 + 5x13 + 13x12 - 29x11 + 24x10 + 9x9 - 48x8 + 56x7 - 16x6 - 44x5 + 74x4 - 60x3 + 29x2 - 8x + 1 \( -\,139\cdot 367^{2}\cdot 299401^{2} \) 18T968 Trivial
18.0.1963375693486812487.1 x18 - x17 - 7x15 + 5x14 + 6x13 + 21x12 - 29x11 - 13x10 - 11x9 + 49x8 - 8x7 - 3x6 - 24x5 + 14x4 + 3x3 - 3x + 1 \( -\,31^{6}\cdot 1303^{3} \) 18T314 Trivial
18.0.1999004627104432128.1 x18 - 6x17 + 24x16 - 68x15 + 159x14 - 300x13 + 479x12 - 630x11 + 702x10 - 636x9 + 480x8 - 270x7 + 114x6 - 12x5 - 12x4 + 14x3 - 3x2 + 1 \( -\,2^{18}\cdot 3^{27} \) 18T6 Trivial
18.0.2529990231179046912.1 x18 - 9x17 + 36x16 - 81x15 + 105x14 - 63x13 - 21x12 + 72x11 - 63x10 + 27x9 - 6x6 - 9x5 + 18x4 - 9x2 + 3 \( -\,2^{12}\cdot 3^{31} \) 18T3 Trivial
18.0.2745546730527991447.1 x18 - 5x17 + 12x16 - 17x15 + 12x14 - 2x13 + 8x12 - 46x11 + 111x10 - 168x9 + 188x8 - 173x7 + 137x6 - 102x5 + 70x4 - 40x3 + 19x2 - 5x + 1 \( -\,23^{6}\cdot 2647^{3} \) 18T314 Trivial
18.0.3190851810094053743.1 x18 - 5x17 + 15x16 - 36x15 + 75x14 - 137x13 + 221x12 - 312x11 + 384x10 - 411x9 + 384x8 - 312x7 + 221x6 - 137x5 + 75x4 - 36x3 + 15x2 - 5x + 1 \( -\,11^{6}\cdot 23^{9} \) 18T221 Trivial
18.0.4052555153018976267.1 x18 - 3x15 + 15x12 + 20x9 + 33x6 + 6x3 + 1 \( -\,3^{39} \) 18T3 Trivial
18.0.4558310746519570263.1 x18 + 6x16 - 2x15 + 15x14 - 10x13 + 22x12 - 20x11 + 23x10 - 20x9 + 18x8 - 10x7 + 9x6 - 2x5 + 2x4 - x3 - x + 1 \( -\,3^{9}\cdot 229\cdot 433^{3}\cdot 12457 \) 18T951 Trivial
18.2.4837319251866194741.1 x18 - 3x17 + 2x16 - 5x15 + 15x14 - 6x13 + 2x12 - 29x11 + 17x10 + 11x9 + 17x8 - 29x7 + 2x6 - 6x5 + 15x4 - 5x3 + 2x2 - 3x + 1 \( 23^{6}\cdot 59^{2}\cdot 149\cdot 251^{2} \) 18T912 Trivial
18.0.5040742784941043712.1 x18 - x15 + 2x12 - 9x9 + 12x6 - 5x3 + 1 \( -\,2^{12}\cdot 3^{21}\cdot 7^{6} \) 18T23 Trivial
18.0.5132738882980786176.1 x18 - 6x17 + 16x16 - 20x15 - 2x14 + 51x13 - 87x12 + 64x11 + 16x10 - 108x9 + 181x8 - 232x7 + 253x6 - 224x5 + 154x4 - 79x3 + 29x2 - 7x + 1 \( -\,2^{12}\cdot 3^{12}\cdot 11^{9} \) 18T23 Trivial
18.0.5460912335827351107.1 x18 - 9x17 + 35x16 - 76x15 + 100x14 - 84x13 + 57x12 - 56x11 + 62x10 - 35x9 + 3x8 - 28x7 + 63x6 - 32x5 - 10x3 + 16x2 - 7x + 1 \( -\,3^{9}\cdot 23^{6}\cdot 37^{4} \) 18T137 Trivial
18.0.5585027926119911424.1 x18 - 2x17 + 5x16 - 7x15 + 10x14 - 13x13 + 17x12 - 24x11 + 28x10 - 28x9 + 25x8 - 24x7 + 28x6 - 31x5 + 29x4 - 22x3 + 13x2 - 5x + 1 \( -\,2^{12}\cdot 3^{12}\cdot 37^{6} \) 18T189 Trivial
18.0.6107453226347659264.1 x18 + 5x16 + 12x14 + 29x12 + 55x10 + 57x8 + 39x6 + 22x4 + 8x2 + 1 \( -\,2^{18}\cdot 13^{12} \) 18T3 Trivial

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