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Results: (displaying matches 1-20 of 850)

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)
22.0.1163485434252431102394067.1 x22 - 2x21 + 6x20 - 12x19 + 22x18 - 40x17 + 62x16 - 97x15 + 138x14 - 177x13 + 216x12 - 233x11 + 238x10 - 226x9 + 195x8 - 164x7 + 124x6 - 85x5 + 55x4 - 29x3 + 13x2 - 5x + 1 \( -\,971^{2}\cdot 1867\cdot 25709231^{2} \) 22T53 Trivial (GRH)
22.0.2817611963463158891460983.1 x22 - 4x21 + 6x20 - 8x19 + 15x18 - 9x17 - 28x16 + 46x15 - 14x14 + 23x13 + 13x12 - 297x11 + 488x10 - 240x9 + 28x8 - 134x7 + 194x6 - 130x5 + 72x4 - 28x3 + 8x2 - 2x + 1 \( -\,167^{11} \) 22T2 Trivial
22.0.3273714539904703691187619.1 x22 - x21 - 7x19 + 8x18 + 7x17 + 17x16 - 26x15 - 35x14 - 4x13 + 68x12 + 92x11 + 10x10 - 49x9 - 27x8 + 32x7 + 57x6 + 24x5 - 13x4 - 17x3 - 3x2 + 2x + 1 \( -\,61\cdot 1279\cdot 1609^{2}\cdot 4025911^{2} \) 22T53 Trivial (GRH)
22.0.4514211640352695524009371.1 x22 + 2x20 - 5x19 - 4x18 - 9x17 + 8x16 + 16x15 + 29x14 - 7x13 - 29x12 - 55x11 + 4x10 + 37x9 + 57x8 - 3x7 - 30x6 - 33x5 + 7x4 + 12x3 + 5x2 - 3x + 1 \( -\,11^{4}\cdot 181^{2}\cdot 101771\cdot 304099^{2} \) 22T53 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)
22.2.41217344982318472393444237.1 x22 - 7x20 - 3x19 + 17x18 + 12x17 - 15x16 - 16x15 - x14 - x13 - 28x12 - 42x11 + 3x10 + 25x9 - 16x8 - 47x7 - 35x6 + 7x5 + 16x4 - 7x3 - 5x2 + 2x + 1 \( 1070197\cdot 6205948139^{2} \) 22T53 Trivial (GRH)
22.0.64196743029301100734358828.1 x22 - x21 + 3x20 - 7x19 + 11x18 - 18x17 + 29x16 - 40x15 + 53x14 - 67x13 + 79x12 - 87x11 + 92x10 - 90x9 + 83x8 - 73x7 + 59x6 - 43x5 + 30x4 - 18x3 + 9x2 - 4x + 1 \( -\,2^{2}\cdot 2029\cdot 7909899338257898069783 \) 22T59 Trivial (GRH)
22.0.75348325135501798832991875.1 x22 - 4x21 + 10x20 - 22x19 + 47x18 - 79x17 + 124x16 - 169x15 + 213x14 - 229x13 + 259x12 - 192x11 + 188x10 - 90x9 + 134x8 - 14x7 + 62x6 - 19x5 + 22x4 - 12x3 + 3x2 - x + 1 \( -\,5^{4}\cdot 7^{6}\cdot 83^{5}\cdot 127^{4} \) 22T52 Trivial (GRH)
22.0.103946711888571010237690363.1 x22 - 5x21 + 15x20 - 35x19 + 68x18 - 114x17 + 170x16 - 230x15 + 285x14 - 325x13 + 343x12 - 335x11 + 306x10 - 258x9 + 202x8 - 146x7 + 97x6 - 59x5 + 32x4 - 16x3 + 7x2 - 2x + 1 \( -\,79\cdot 22109\cdot 59513372976908430233 \) 22T59 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)
22.2.147982356498821950109384704.2 x22 + x18 - 2x16 - 2x14 - x12 + 3x8 + x6 + x4 - 1 \( 2^{22}\cdot 12917^{2}\cdot 459847^{2} \) 22T51 Trivial (GRH)
22.2.147982356498821950109384704.1 x22 - 2x20 + 6x18 - 14x16 + 22x14 - 31x12 + 38x10 - 34x8 + 27x6 - 17x4 + 6x2 - 1 \( 2^{22}\cdot 12917^{2}\cdot 459847^{2} \) 22T51 Trivial (GRH)
22.2.178901193768541138691065033.1 x22 - 11x21 + 65x20 - 265x19 + 825x18 - 2067x17 + 4301x16 - 7582x15 + 11469x14 - 15003x13 + 17039x12 - 16811x11 + 14374x10 - 10594x9 + 6680x8 - 3576x7 + 1630x6 - 656x5 + 261x4 - 113x3 + 48x2 - 15x + 1 \( 149\cdot 33797\cdot 64661^{2}\cdot 92179^{2} \) 22T53 Trivial (GRH)
22.2.289863980721044983135295513.1 x22 - x21 + x20 - 3x19 + 3x18 + x17 + 5x16 - 4x15 - 18x14 + 11x13 + 16x12 + 32x11 - 45x10 - 81x9 + 100x8 + 75x7 - 101x6 - 41x5 + 53x4 + 15x3 - 15x2 - 4x + 1 \( 359753\cdot 28385393161^{2} \) 22T53 Trivial (GRH)
22.6.440358787157109245022232573.1 x22 - 11x21 + 64x20 - 255x19 + 770x18 - 1857x17 + 3688x16 - 6146x15 + 8690x14 - 10480x13 + 10777x12 - 9386x11 + 6807x10 - 3960x9 + 1680x8 - 341x7 - 170x6 + 212x5 - 109x4 + 28x3 + 3x2 - 5x + 1 \( 37\cdot 163^{2}\cdot 14281\cdot 177106931^{2} \) 22T53 Trivial (GRH)
22.0.492568978448025181133471744.1 x22 + 2x20 - 5x18 - 22x16 + 29x14 + 153x12 + 72x10 - 195x8 - 158x6 + 66x4 + 77x2 + 11 \( -\,2^{18}\cdot 11^{5}\cdot 19^{4}\cdot 547^{4} \) 22T52 Trivial (GRH)
22.0.577860666762298833296687104.1 x22 - 2x20 - 2x19 + 5x18 + 6x17 - 5x16 - 12x15 + 2x14 + 18x13 + 4x12 - 18x11 - 11x10 + 14x9 + 14x8 - 8x7 - 11x6 + 2x5 + 8x4 - 4x2 + 1 \( -\,2^{30}\cdot 73^{2}\cdot 577\cdot 53149\cdot 3293113 \) 22T57 Trivial (GRH)
22.0.578978183833808423828407471.1 x22 - 11x21 + 67x20 - 285x19 + 929x18 - 2433x17 + 5271x16 - 9630x15 + 15091x14 - 20633x13 + 25057x12 - 27453x11 + 27302x10 - 24426x9 + 19254x8 - 13050x7 + 7570x6 - 3890x5 + 1921x4 - 927x3 + 362x2 - 87x + 9 \( -\,271^{11} \) 22T2 Trivial (GRH)

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