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Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
20.0.25567174371986127192064.1 x20 - 2x19 + 2x18 - 2x17 + 10x16 - 20x15 + 22x14 - 16x13 + 31x12 - 54x11 + 58x10 - 42x9 + 23x8 - 12x7 + 8x6 - 18x5 + 7x4 + 4x3 + 1 \( 2^{30}\cdot 47^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial
20.0.25567174371986127192064.2 x20 - 2x19 + 2x18 - 4x17 + 13x16 - 28x15 + 38x14 - 38x13 + 44x12 - 70x11 + 102x10 - 106x9 + 91x8 - 86x7 + 98x6 - 104x5 + 91x4 - 66x3 + 32x2 - 8x + 1 \( 2^{30}\cdot 47^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial
20.4.8064241715186276625588961.1 x20 - 6x19 + 9x18 + 18x17 - 70x16 + 36x15 + 119x14 - 119x13 - 180x12 + 289x11 + 141x10 - 468x9 - 22x8 + 693x7 - 365x6 - 441x5 + 352x4 + 248x3 - 350x2 + 135x - 19 \( 7^{12}\cdot 17^{12} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial
20.4.8064241715186276625588961.2 x20 - 3x19 + 3x17 - x16 + 33x15 - 42x14 - 93x13 + 160x12 + 17x11 - 198x10 + 291x9 - 53x8 - 537x7 + 392x6 + 427x5 - 426x4 - 148x3 + 192x2 + 16x - 32 \( 7^{12}\cdot 17^{12} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial (GRH)
20.0.39479125871598264344535849.1 x20 - 2x19 + 6x18 + 8x17 - x16 + 7x15 + 6x14 - 10x13 + 11x12 + 15x11 - x10 + 15x9 + 11x8 - 10x7 + 6x6 + 7x5 - x4 + 8x3 + 6x2 - 2x + 1 \( 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2]$
20.0.39479125871598264344535849.2 x20 - 3x19 + 12x18 - 15x17 + 40x16 - 27x15 + 92x14 - 43x13 + 172x12 - 89x11 + 249x10 - 143x9 + 259x8 - 173x7 + 188x6 - 92x5 + 96x4 - 19x3 + 28x2 - 5x + 1 \( 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2]$
20.0.39479125871598264344535849.3 x20 - x19 + x18 + 2x16 - 3x15 - 3x14 + 2x13 + 4x12 - 5x10 + 4x8 + 2x7 - 3x6 - 3x5 + 2x4 + x2 - x + 1 \( 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2]$ (GRH)
20.0.25869668051447537847885359761.1 x20 - 7x19 + 34x18 - 118x17 + 333x16 - 755x15 + 1489x14 - 2358x13 + 3373x12 - 3625x11 + 3380x10 - 1671x9 + 63x8 + 2017x7 - 1723x6 + 1781x5 - 509x4 - 545x3 + 595x2 - 215x + 43 \( 19^{12}\cdot 43^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial
20.12.528859175020338546282041015625.1 x20 - 3x19 - 18x18 + 39x17 + 152x16 - 207x15 - 666x14 + 619x13 + 1600x12 - 1211x11 - 2319x10 + 1357x9 + 1909x8 - 909x7 - 916x6 + 322x5 + 250x4 - 53x3 - 34x2 + 5x + 1 \( 3^{4}\cdot 5^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial (GRH)
20.4.528859175020338546282041015625.1 x20 - 2x19 - 10x18 - 12x17 - x16 + x15 - 6x14 - 26x13 - 185x12 - 217x11 - 19x10 + 217x9 - 185x8 + 26x7 - 6x6 - x5 - x4 + 12x3 - 10x2 + 2x + 1 \( 3^{4}\cdot 5^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2]$ (GRH)
20.12.1938547717289748864693759765625.1 x20 - 8x19 + 25x18 - 24x17 - 53x16 + 127x15 - 15x14 + 95x13 - 773x12 + 60x11 + 2982x10 - 1347x9 - 4902x8 + 1296x7 + 5511x6 - 389x5 - 3276x4 - 91x3 + 789x2 + 34x - 61 \( 5^{10}\cdot 19^{8}\cdot 43^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial (GRH)
20.4.1938547717289748864693759765625.1 x20 - 13x18 + 44x16 - 302x14 + 862x12 - 2814x10 + 6749x8 - 12305x6 + 19254x4 - 20140x2 + 9025 \( 5^{10}\cdot 19^{8}\cdot 43^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2]$ (GRH)
20.0.41396863889937021633336022401024.2 x20 - 13x18 + 112x16 - 523x14 + 1740x12 - 3848x10 + 6286x8 - 6950x6 + 5521x4 - 2484x2 + 729 \( 2^{20}\cdot 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2, 6]$ (GRH)
20.0.41396863889937021633336022401024.3 x20 + 12x18 + 95x16 + 428x14 + 1393x12 + 2777x10 + 3940x8 + 2958x6 + 1584x4 + 432x2 + 81 \( 2^{20}\cdot 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) $[2, 12]$ (GRH)
20.20.42390388623295510152536086938648576.1 x20 - 10x19 - 6x18 + 318x17 - 493x16 - 3820x15 + 10188x14 + 19738x13 - 85710x12 - 16828x11 + 360010x10 - 260128x9 - 700797x8 + 1088072x7 + 269898x6 - 1531518x5 + 832863x4 + 491158x3 - 732298x2 + 303198x - 43823 \( 2^{30}\cdot 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial (GRH)
20.20.42390388623295510152536086938648576.2 x20 - 54x18 + 1151x16 - 12352x14 + 70579x12 - 209152x10 + 293479x8 - 185154x6 + 45846x4 - 3672x2 + 81 \( 2^{30}\cdot 3^{10}\cdot 401^{8} \) $C_2\times C_2^4:D_5$ (as 20T73) Trivial (GRH)


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