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Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
20.4.612500000000000000000000.1 x20 - 5x18 + 5x16 - 8x15 + 20x14 + 10x13 - 45x12 + 50x11 - 41x10 - 20x9 + 115x8 - 210x7 + 280x6 - 282x5 + 215x4 - 120x3 + 45x2 - 10x + 1 \( 2^{20}\cdot 5^{23}\cdot 7^{2} \) 20T135 Trivial
20.0.2112500000000000000000000.1 x20 + 5x16 - 8x15 + 20x14 + 10x13 - 40x11 + 14x10 + 50x9 + 50x8 + 20x7 - 42x5 - 25x4 + 20x3 + 30x2 + 10x + 1 \( 2^{20}\cdot 5^{23}\cdot 13^{2} \) 20T135 $[2]$
20.4.3223692455873165228572672.1 x20 - x19 - 7x18 + 5x17 + 24x16 - 19x15 - 27x14 - 3x13 + 86x12 - 71x11 - 15x10 + 81x9 - 108x8 + 91x7 - 41x6 - 23x5 + 58x4 - 43x3 + 17x2 - 5x + 1 \( 2^{16}\cdot 13^{15}\cdot 31^{2} \) 20T135 Trivial
20.0.5638945908764610561114112.1 x20 - 9x19 + 30x18 - 36x17 - 34x16 + 151x15 - 136x14 - 126x13 + 475x12 - 528x11 - 8x10 + 784x9 - 922x8 + 254x7 + 384x6 - 486x5 + 321x4 - 153x3 + 38x2 + 1 \( 2^{16}\cdot 13^{15}\cdot 41^{2} \) 20T135 $[2]$
20.12.40533757031250000000000000000.1 x20 - 5x19 - 5x18 + 55x17 - 50x16 - 109x15 + 215x14 - 75x13 - 130x12 + 135x11 - 69x10 + 135x9 - 130x8 - 75x7 + 215x6 - 109x5 - 50x4 + 55x3 - 5x2 - 5x + 1 \( 2^{16}\cdot 3^{2}\cdot 5^{23}\cdot 7^{8} \) 20T135 Trivial (GRH)
20.8.72060012500000000000000000000.1 x20 - 10x18 - 55x16 + 80x14 + 230x12 - 160x10 - 310x8 + 40x6 + 145x4 + 50x2 + 5 \( 2^{20}\cdot 5^{23}\cdot 7^{8} \) 20T135 Trivial (GRH)
20.12.210387604996818000000000000000.1 x20 - 10x19 + 36x18 - 39x17 - 141x16 + 720x15 - 1572x14 + 1770x13 - 252x12 - 2440x11 + 3846x10 - 2098x9 - 1105x8 + 2212x7 - 890x6 - 335x5 + 378x4 - 54x3 - 36x2 + 9x + 1 \( 2^{16}\cdot 3^{2}\cdot 5^{15}\cdot 43^{8} \) 20T135 Trivial (GRH)
20.16.283852656623852252960205078125.1 x20 - 15x18 + 75x16 - 120x14 - 105x12 + 475x10 - 360x8 - 50x6 + 145x4 - 50x2 + 5 \( 5^{23}\cdot 47^{8} \) 20T135 Trivial (GRH)
20.8.374022408883232000000000000000.1 x20 - 6x19 + 11x18 + 8x17 - 81x16 + 150x15 + 38x14 - 484x13 + 463x12 + 324x11 - 1027x10 + 790x9 + 519x8 - 1678x7 + 476x6 + 1706x5 - 359x4 - 990x3 - 285x2 + 5 \( 2^{20}\cdot 5^{15}\cdot 43^{8} \) 20T135 Trivial (GRH)
20.16.584410013880050000000000000000.1 x20 - 5x19 - 7x18 + 81x17 - 118x16 - 295x15 + 1301x14 - 1093x13 - 3092x12 + 7715x11 - 3649x10 - 8977x9 + 14130x8 - 2983x7 - 7759x6 + 5923x5 - 748x4 - 599x3 + 225x2 - 27x + 1 \( 2^{16}\cdot 5^{17}\cdot 43^{8} \) 20T135 Trivial (GRH)
20.4.10054202156858080231167941574353.2 x20 - x19 + 12x17 - 85x16 - 216x15 + 276x14 + 881x13 - 924x12 - 5657x11 - 9877x10 - 9788x9 - 4973x8 + 250x7 + 1599x6 + 381x5 - 302x4 - 160x3 + 5x2 + 18x + 1 \( 17^{15}\cdot 37^{8} \) 20T135 $[2, 2]$ (GRH)
20.4.18447363200000000000000000000000.1 x20 + 20x18 + 140x16 + 320x14 - 780x12 - 5700x10 - 10720x8 - 3200x6 + 14320x4 + 18000x2 + 6480 \( 2^{28}\cdot 5^{23}\cdot 7^{8} \) 20T135 Trivial (GRH)
20.0.42375791100781250000000000000000.1 x20 - 10x18 - 5x17 + 75x16 + 122x15 - 610x14 - 360x13 + 2990x12 - 1370x11 - 3126x10 - 1950x9 + 9275x8 - 3890x7 + 13900x6 - 34527x5 + 24160x4 - 14740x3 + 24440x2 - 5135x + 3581 \( 2^{16}\cdot 5^{23}\cdot 7^{8}\cdot 97^{2} \) 20T135 $[3, 6]$ (GRH)
20.20.2076413763938281250000000000000000.1 x20 - 40x18 - 10x17 + 610x16 + 256x15 - 4580x14 - 2340x13 + 18560x12 + 10480x11 - 41364x10 - 25160x9 + 48760x8 + 31200x7 - 26640x6 - 16784x5 + 4960x4 + 2240x3 - 480x2 - 80x + 16 \( 2^{16}\cdot 5^{23}\cdot 7^{10}\cdot 97^{2} \) 20T135 $[2]$ (GRH)
20.20.18602567704500781250000000000000000.1 x20 - 30x18 + 360x16 - 2265x14 + 8165x12 - 17195x10 + 20545x8 - 12785x6 + 3470x4 - 350x2 + 5 \( 2^{16}\cdot 5^{23}\cdot 47^{8} \) 20T135 Trivial (GRH)
20.0.85300607436800000000000000000000000.1 x20 + 40x18 + 660x16 + 5880x14 + 31260x12 + 103920x10 + 220560x8 + 298080x6 + 247920x4 + 115600x2 + 23120 \( 2^{32}\cdot 5^{23}\cdot 7^{8}\cdot 17^{2} \) 20T135 $[2, 442]$ (GRH)


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