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Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
20.4.6802209109663753569286129.2 x20 - 5x19 + 7x18 + 7x17 - 42x16 + 73x15 - 30x14 - 116x13 + 243x12 - 217x11 - 7x10 + 283x9 - 285x8 + 50x7 + 212x6 - 381x5 + 244x4 - 117x3 + 73x2 - 17x + 1 \( 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial
20.4.6802209109663753569286129.3 x20 - 3x19 + 10x18 - 20x17 + 18x16 - 7x15 - 14x14 + 86x13 - 128x12 + 44x11 + 106x10 - 209x9 - 61x8 + 380x7 - 323x6 + 172x5 + 19x4 - 52x3 + 19x2 - 7x + 1 \( 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial
20.4.6802209109663753569286129.4 x20 - 2x19 - 5x18 + 10x17 + 25x16 - 52x15 - 76x14 + 234x13 - 11x12 - 464x11 + 425x10 + 206x9 - 572x8 + 336x7 + 3x6 - 168x5 + 243x4 - 204x3 + 87x2 - 16x + 1 \( 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial
20.4.6802209109663753569286129.5 x20 - 5x19 + 9x18 + 4x17 - 36x16 + 53x15 - 3x14 - 87x13 + 147x12 + 23x11 - 286x10 + 339x9 - 39x8 - 305x7 - 4x6 + 207x5 - 49x4 - 61x3 + 27x2 - 3x + 1 \( 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial
20.8.49338146756019243307761664.3 x20 - 4x19 - 2x18 + 34x17 - 13x16 - 162x15 + 90x14 + 504x13 - 271x12 - 1010x11 + 374x10 + 1400x9 - 60x8 - 1522x7 - 374x6 + 1286x5 + 323x4 - 674x3 - 46x2 + 148x - 23 \( 2^{30}\cdot 11^{16} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.8.49338146756019243307761664.4 x20 - 4x19 - 2x18 + 16x17 - 31x16 + 20x15 + 24x14 + 44x13 + 14x12 - 76x11 - 44x10 - 76x9 + 14x8 + 44x7 + 24x6 + 20x5 - 31x4 + 16x3 - 2x2 - 4x + 1 \( 2^{30}\cdot 11^{16} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.0.823067302269314181883621609.1 x20 - x19 + 3x18 + 6x17 + 33x16 + 34x15 + 65x14 + 69x13 + 127x12 + 132x11 + 144x10 + 143x9 + 101x8 + 141x7 + 116x6 - 32x5 + 110x4 - 20x3 + 20x2 + 6x + 1 \( 11^{18}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) $[2, 2]$
20.8.823067302269314181883621609.1 x20 - 3x19 - 3x18 + 12x17 - 33x16 + 32x15 + 124x14 - 63x13 + 10x12 - 187x11 - 428x10 - 550x9 - 661x8 - 184x7 - 129x6 + 43x5 + 23x3 + 63x2 + 19x + 1 \( 11^{18}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.0.823067302269314181883621609.2 x20 - 5x19 + 20x18 - 53x17 + 121x16 - 241x15 + 380x14 - 640x13 + 816x12 - 1023x11 + 1189x10 - 836x9 + 1128x8 - 327x7 + 582x6 - 65x5 + 143x4 - 5x3 + 14x2 - x + 1 \( 11^{18}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) $[2, 2]$
20.8.823067302269314181883621609.2 x20 - 5x19 - x18 + 36x17 - 22x16 - 111x15 + 38x14 + 375x13 - 168x12 - 704x11 + 309x10 + 968x9 - 499x8 - 816x7 + 477x6 + 406x5 - 88x4 - 117x3 - 20x2 + 7x + 1 \( 11^{18}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.4.5969915757478328440239161344.1 x20 - 8x19 + 30x18 - 56x17 + 33x16 + 144x15 - 536x14 + 1152x13 - 1970x12 + 2992x11 - 3596x10 + 2992x9 - 1970x8 + 1152x7 - 536x6 + 144x5 + 33x4 - 56x3 + 30x2 - 8x + 1 \( 2^{30}\cdot 11^{18} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.4.5969915757478328440239161344.2 x20 - 8x19 + 30x18 - 78x17 + 187x16 - 450x15 + 960x14 - 1598x13 + 1528x12 + 2046x11 - 14596x10 + 39688x9 - 68575x8 + 78284x7 - 52390x6 + 5116x5 + 28589x4 - 31076x3 + 16178x2 - 4342x + 463 \( 2^{30}\cdot 11^{18} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.0.7303816416639774784171798530359296.1 x20 - 6x19 + 34x18 - 132x17 + 502x16 - 1450x15 + 3398x14 - 7814x13 + 13793x12 - 30364x11 + 73744x10 - 254376x9 + 822868x8 - 2139784x7 + 4734462x6 - 7831492x5 + 11001528x4 - 10686038x3 + 8803206x2 - 3761584x + 1294987 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) $[2, 4, 20]$ (GRH)
20.0.7303816416639774784171798530359296.2 x20 - 4x19 + 36x18 - 82x17 + 590x16 - 1196x15 + 6360x14 - 11542x13 + 33069x12 - 73808x11 + 108170x10 - 178938x9 + 336647x8 - 235632x7 + 398012x6 - 428398x5 - 72149x4 - 133254x3 + 269144x2 + 611294x + 805751 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) $[2, 4, 20]$ (GRH)
20.20.7303816416639774784171798530359296.3 x20 - 6x19 - 38x18 + 282x17 + 379x16 - 4992x15 + 1570x14 + 41306x13 - 46263x12 - 166594x11 + 263516x10 + 353360x9 - 662559x8 - 459512x7 + 846276x6 + 443584x5 - 527870x4 - 304834x3 + 104664x2 + 89954x + 13729 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)
20.20.7303816416639774784171798530359296.4 x20 - 4x19 - 54x18 + 178x17 + 1065x16 - 2854x15 - 9888x14 + 23466x13 + 47809x12 - 110132x11 - 121760x10 + 302378x9 + 146585x8 - 477204x7 - 34044x6 + 405814x5 - 83388x4 - 156412x3 + 61028x2 + 14522x - 7129 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T40) Trivial (GRH)


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