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Results (displaying all 24 matches)

Label Polynomial Discriminant Galois group Class group
22.0.178400853291024459894627.1 x22 + 2x20 + 5x18 - x17 + 6x16 - 3x15 + 9x14 - x13 + 7x12 - 3x11 + 13x10 + 5x8 + 3x7 + 10x6 + x4 + 4x2 + 2x + 1 \( -\,3^{11}\cdot 1003532779^{2} \) 22T47 Trivial (GRH)
22.0.6250054957079127310759347.1 x22 - x20 - 4x19 + 3x18 + 3x17 + 6x16 - 9x15 + x14 - 3x13 + 9x12 - 10x11 + x10 - 2x9 + 8x8 - 5x7 - x5 + 4x4 - 2x3 + x2 + 1 \( -\,3^{11}\cdot 12917^{2}\cdot 459847^{2} \) 22T47 Trivial (GRH)
22.0.6293360649840402636051867.1 x22 - x21 - x19 + 3x18 - 3x17 - x16 + 5x14 - 3x13 - 2x12 + x11 + 6x10 - 4x9 - 2x8 - x7 + 5x6 - 2x5 - x4 - 2x3 + x2 + x + 1 \( -\,3^{11}\cdot 64661^{2}\cdot 92179^{2} \) 22T47 Trivial (GRH)
22.0.110395262036162513388217347.1 x22 - 4x19 + 4x16 - 4x15 + x14 - 6x13 + 7x12 - 3x11 + 12x10 + 2x9 + 18x8 + 4x7 + 13x6 + 5x5 + 6x4 + x3 + 4x2 - x + 1 \( -\,3^{11}\cdot 971^{2}\cdot 25709231^{2} \) 22T47 Trivial (GRH)
22.2.1722741365651855595751953125.1 x22 + 3x20 - 8x19 - 13x18 - 13x17 - 10x16 + 79x15 + 45x14 + 111x13 + 59x12 - 172x11 + 31x10 - 94x9 - 96x8 + 55x7 - 26x6 + x5 + 20x4 - 4x3 + 3x2 - 1 \( 5^{11}\cdot 12917^{2}\cdot 459847^{2} \) 22T47 Trivial (GRH)
22.2.1734677982017693835986328125.1 x22 - x21 + 2x20 + x19 - 13x18 + 3x17 - 35x16 - 18x15 + 37x14 + 27x13 + 152x12 + 277x11 + 160x10 + 72x9 - 42x8 - 69x7 - 31x6 - 22x5 + 3x4 + 4x3 + x2 + x - 1 \( 5^{11}\cdot 64661^{2}\cdot 92179^{2} \) 22T47 Trivial (GRH)
22.0.3101889720909924494411835627.1 x22 - 2x21 + 4x20 - 2x18 + 9x17 - 4x16 + 6x15 + 4x14 - 2x13 + 10x12 + 7x10 + 4x9 + 2x8 + 11x7 + x6 + 3x5 + 4x4 + 2x3 + 3x2 - x + 1 \( -\,3^{11}\cdot 211441^{2}\cdot 625831^{2} \) 22T47 Trivial (GRH)
22.0.4395449323362095410329595467.1 x22 - x21 + 2x20 + x19 + 2x18 - x17 + 4x15 - 6x14 - 6x13 - 3x12 - x11 - 2x10 - 8x9 + 8x8 + 5x7 + 7x6 + 8x5 + 8x4 + 6x3 + 4x2 + 2x + 1 \( -\,3^{11}\cdot 19457^{2}\cdot 8095783^{2} \) 22T47 Trivial (GRH)
22.6.30428929951449912919970703125.1 x22 - 8x19 - 4x16 + 116x15 - 47x14 - 228x13 + 179x12 + 177x11 - 108x10 + 58x9 + 78x8 + 4x7 + 37x6 - 13x5 - 40x4 - x3 + 10x2 + x - 1 \( 5^{11}\cdot 971^{2}\cdot 25709231^{2} \) 22T47 Trivial (GRH)
22.6.33458177485426043697705078125.1 x22 - 3x20 - 4x19 - 13x18 + x17 + 41x16 + 85x15 - 10x14 - 177x13 + 9x12 + 233x11 - 32x10 - 26x9 + 38x8 - 74x7 + 18x6 + 22x5 - 25x4 + 6x2 - 1 \( 5^{11}\cdot 14851^{2}\cdot 1762627^{2} \) 22T47 Trivial (GRH)
22.0.66009317547629600105613290523.1 x22 - x21 + 5x20 + 2x19 + 12x18 + 13x17 + 14x16 + 63x15 - 7x14 + 68x13 + 31x12 + 19x11 + 40x10 - 71x9 + 84x8 - 79x7 + 41x6 - 38x5 + 21x4 - 11x3 + 4x2 - x + 1 \( -\,3^{11}\cdot 610429790897^{2} \) 22T47 Trivial (GRH)
22.0.115803236519047451106947869227.1 x22 - 2x21 + 5x20 - 6x19 + 10x18 - 13x17 + 3x16 - 4x15 - 15x14 + 9x13 - 23x12 + 35x11 + 5x10 + 25x9 + 40x8 + 18x7 + 38x6 + 20x4 - x3 + 6x2 - x + 1 \( -\,3^{11}\cdot 43^{2}\cdot 547^{2}\cdot 34374601^{2} \) 22T47 Trivial (GRH)
22.10.854993079356720164347705078125.1 x22 - 2x21 - 4x20 + 14x18 + 27x17 - 40x16 - 66x15 + 4x14 + 154x13 + 292x12 - 44x11 - 237x10 + 44x9 + 22x8 - 93x7 - 3x6 + 33x5 - 4x4 - 2x3 + 7x2 - x - 1 \( 5^{11}\cdot 211441^{2}\cdot 625831^{2} \) 22T47 Trivial (GRH)
22.10.1211544925921916910574267578125.1 x22 - x21 - 4x20 - x19 - 6x18 + 7x17 + 10x16 + 54x15 + 178x14 + 64x13 - 301x12 - 359x11 - 56x10 + 64x9 + 32x8 + 45x7 + 27x6 + 16x5 - 4x4 - 12x3 + 4x2 + 2x - 1 \( 5^{11}\cdot 19457^{2}\cdot 8095783^{2} \) 22T47 Trivial (GRH)
22.0.10046547996724887091059294601443.1 x22 - x21 + 7x20 - 4x19 + 31x18 - 18x17 + 77x16 - 41x15 + 140x14 - 96x13 + 153x12 - 129x11 + 145x10 - 148x9 + 84x8 - 72x7 + 94x6 - 20x5 + 39x4 + 12x3 + 18x2 + 4x + 1 \( -\,3^{11}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2} \) 22T47 $[2]$ (GRH)
22.0.13329203788379546293009624459083.1 x22 - x21 + 8x20 + x19 + 33x18 + 20x17 + 97x16 + 111x15 + 195x14 + 258x13 + 328x12 + 369x11 + 392x10 + 323x9 + 362x8 + 155x7 + 199x6 + 67x5 + 63x4 + 12x3 + 11x2 + 2x + 1 \( -\,3^{11}\cdot 8674315276967^{2} \) 22T47 Trivial (GRH)
22.14.18194557110085700393779736328125.1 x22 - x21 - 13x20 + 54x18 + 93x17 - 138x16 - 339x15 + 439x14 + 258x13 - 887x12 + 343x11 + 764x10 - 601x9 - 162x8 + 341x7 - 73x6 - 118x5 + 5x4 + 25x3 + 10x2 - x - 1 \( 5^{11}\cdot 610429790897^{2} \) 22T47 Trivial (GRH)
22.14.31919563459480622441144580078125.1 x22 - 2x21 - 7x20 + 14x19 + 18x18 - 67x17 - 101x16 + 234x15 + 497x14 - 273x13 - 893x12 + 23x11 + 753x10 + 147x9 - 418x8 - 88x7 + 226x6 + 6x5 - 90x4 + 7x3 + 16x2 - x - 1 \( 5^{11}\cdot 43^{2}\cdot 547^{2}\cdot 34374601^{2} \) 22T47 Trivial (GRH)
22.0.328417397709776899721953240383603.1 x22 - 2x21 + 14x20 - 22x19 + 110x18 - 154x17 + 537x16 - 588x15 + 1719x14 - 1556x13 + 3922x12 - 2650x11 + 6120x10 - 3124x9 + 6945x8 - 2284x7 + 4957x6 - 987x5 + 2301x4 - 102x3 + 153x2 + 9 \( -\,3^{15}\cdot 4784137656827^{2} \) 22T47 $[16]$ (GRH)
22.0.420249828754162766851850612806803.1 x22 - 3x21 + 17x20 - 32x19 + 133x18 - 221x17 + 675x16 - 925x15 + 2270x14 - 2774x13 + 5421x12 - 5457x11 + 8435x10 - 7261x9 + 8780x8 - 5447x7 + 4182x6 - 1619x5 + 1047x4 - 323x3 + 152x2 - 13x + 1 \( -\,3^{11}\cdot 421^{2}\cdot 115692385433^{2} \) 22T47 $[28]$ (GRH)
22.18.2769192260679449143892527783203125.1 x22 - x21 - 19x20 + 14x19 + 121x18 - 78x17 - 261x16 + 287x15 - 160x14 - 852x13 + 1239x12 + 1601x11 - 1405x10 - 1576x9 + 348x8 + 692x7 + 274x6 - 60x5 - 159x4 - 32x3 + 22x2 + 4x - 1 \( 5^{11}\cdot 29^{2}\cdot 131^{2}\cdot 5399^{2}\cdot 367163^{2} \) 22T47 Trivial (GRH)
22.18.3674011011924955171910111767578125.1 x22 - x21 - 22x20 + 5x19 + 191x18 + 88x17 - 819x16 - 753x15 + 1905x14 + 2178x13 - 2680x12 - 3041x11 + 2570x10 + 2301x9 - 1770x8 - 1001x7 + 811x6 + 259x5 - 211x4 - 38x3 + 25x2 + 2x - 1 \( 5^{11}\cdot 8674315276967^{2} \) 22T47 Trivial (GRH)
22.22.115836063662590130514138078564453125.1 x22 - 3x21 - 33x20 + 88x19 + 421x18 - 1001x17 - 2683x16 + 5647x15 + 9370x14 - 17186x13 - 18923x12 + 29509x11 + 23007x10 - 28981x9 - 17000x8 + 15763x7 + 7336x6 - 4249x5 - 1613x4 + 425x3 + 118x2 - 13x - 1 \( 5^{11}\cdot 421^{2}\cdot 115692385433^{2} \) 22T47 Trivial (GRH)
22.22.147861244626519891422962699267578125.1 x22 - x21 - 34x20 + 25x19 + 435x18 - 199x17 - 2682x16 + 491x15 + 8835x14 + 378x13 - 16217x12 - 3399x11 + 16648x10 + 5347x9 - 9307x8 - 3533x7 + 2728x6 + 1048x5 - 402x4 - 126x3 + 31x2 + 5x - 1 \( 5^{11}\cdot 55029067682009^{2} \) 22T47 Trivial (GRH)



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