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Results (displaying all 6 matches)

Label Polynomial Discriminant Galois group Class group
20.0.15233950180173557331984384.1 x20 - 2x19 + 6x18 - 8x17 + 16x16 - 14x15 + 32x14 - 12x13 + 32x12 + 8x11 + 48x10 - 16x9 + 48x8 + 8x7 + 24x6 + 8x5 + 32x4 + 16x3 + 32x2 + 16x + 16 \( 2^{16}\cdot 3^{10}\cdot 89^{8} \) $S_5$ (as 20T32) $[2]$
20.4.28888165452349440000000000.1 x20 - 5x18 - 2x17 + 5x16 + 8x15 + 2x14 - 16x13 + 21x12 + 28x11 - 119x10 - 150x9 + 61x8 + 164x7 + 62x6 - 4x5 + 149x4 + 396x3 + 327x2 + 58x - 31 \( 2^{36}\cdot 3^{16}\cdot 5^{10} \) $S_5$ (as 20T32) Trivial
20.0.161053520503936294265094144.1 x20 - 3x19 + 12x18 - 23x17 + 66x16 - 117x15 + 222x14 - 297x13 + 411x12 - 454x11 + 456x10 - 312x9 + 147x8 + 69x7 - 150x6 + 127x5 - 78x4 + 21x3 + 16x2 - 15x + 9 \( 2^{16}\cdot 3^{22}\cdot 23^{8} \) $S_5$ (as 20T32) $[2]$
20.4.163840000000000000000000000.1 x20 - 10x19 + 45x18 - 120x17 + 215x16 - 292x15 + 350x14 - 400x13 + 385x12 - 230x11 + 11x10 + 60x9 + 55x8 - 140x7 + 90x6 - 20x5 + 25x4 - 50x3 - 75x2 + 100x - 25 \( 2^{36}\cdot 5^{22} \) $S_5$ (as 20T32) Trivial
20.20.8501150111111046013911040000000000.1 x20 - 4x19 - 33x18 + 120x17 + 468x16 - 1392x15 - 3799x14 + 8012x13 + 19008x12 - 23720x11 - 57969x10 + 31228x9 + 101057x8 - 964x7 - 86922x6 - 33928x5 + 22258x4 + 19672x3 + 5396x2 + 600x + 20 \( 2^{36}\cdot 5^{10}\cdot 103^{8} \) $S_5$ (as 20T32) Trivial (GRH)
20.20.500954336335116183257628679290900841.1 x20 - 8x19 - 30x18 + 396x17 - 172x16 - 6657x15 + 12415x14 + 48573x13 - 145810x12 - 136440x11 + 758752x10 - 106552x9 - 1920339x8 + 1396889x7 + 2101035x6 - 2676014x5 - 273208x4 + 1559242x3 - 729758x2 + 126529x - 7417 \( 29^{10}\cdot 431^{8} \) $S_5$ (as 20T32) Trivial (GRH)



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