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Label Polynomial Discriminant Galois group Class group
20.20.81693426134005631737181457408.1 x20 - 5x19 - 18x18 + 118x17 + 63x16 - 1022x15 + 498x14 + 4100x13 - 4382x12 - 7485x11 + 12429x10 + 3921x9 - 14821x8 + 3875x7 + 6273x6 - 3851x5 - 190x4 + 641x3 - 150x2 + 5x + 1 \( 2^{10}\cdot 3^{15}\cdot 11^{18} \) $C_5\times D_4$ (as 20T12) Trivial (GRH)
20.20.118337802465720092063736102912.1 x20 - 8x19 + 4x18 + 118x17 - 260x16 - 490x15 + 1920x14 + 114x13 - 5672x12 + 3567x11 + 7304x10 - 8202x9 - 3013x8 + 6759x7 - 980x6 - 1898x5 + 680x4 + 134x3 - 83x2 + 5x + 1 \( 2^{15}\cdot 3^{10}\cdot 11^{19} \) $C_5\times D_4$ (as 20T12) Trivial (GRH)
20.20.169675210983039290802001953125.1 x20 - x19 - 20x18 + 19x17 + 170x16 - 151x15 - 801x14 + 650x13 + 2289x12 - 1639x11 - 4080x10 + 2442x9 + 4489x8 - 2058x7 - 2891x6 + 877x5 + 951x4 - 151x3 - 108x2 + 12x + 1 \( 5^{15}\cdot 11^{18} \) $C_{20}$ (as 20T1) Trivial (GRH)
20.20.171855208463966846466064453125.1 x20 - 20x18 + 170x16 - x15 - 800x14 + 15x13 + 2275x12 - 90x11 - 4004x10 + 275x9 + 4290x8 - 450x7 - 2640x6 + 379x5 + 825x4 - 145x3 - 100x2 + 20x + 1 \( 3^{10}\cdot 5^{35} \) $C_{20}$ (as 20T1) Trivial (GRH)
20.20.190320820825165748285615374336.1 x20 - 19x18 + 148x16 - 617x14 + 1507x12 - 2218x10 + 1946x8 - 970x6 + 249x4 - 27x2 + 1 \( 2^{32}\cdot 83^{4}\cdot 983^{4} \) 20T673 Trivial (GRH)
20.20.220683788281250000000000000000.1 x20 - 10x19 + 20x18 + 105x17 - 465x16 + 48x15 + 2450x14 - 3200x13 - 3700x12 + 9850x11 - 1396x10 - 10230x9 + 6315x8 + 3270x7 - 3620x6 + 17x5 + 680x4 - 100x3 - 40x2 + 5x + 1 \( 2^{16}\cdot 5^{23}\cdot 7^{10} \) $F_5$ (as 20T5) Trivial (GRH)
20.20.321515173110712543360000000000.1 x20 - 8x19 - 6x18 + 175x17 - 183x16 - 1268x15 + 1844x14 + 4088x13 - 5900x12 - 6726x11 + 9014x10 + 5898x9 - 7315x8 - 2666x7 + 3154x6 + 539x5 - 662x4 - 30x3 + 54x2 - x - 1 \( 2^{16}\cdot 5^{10}\cdot 3469^{5} \) $D_5\wr C_2$ (as 20T48) Trivial (GRH)
20.20.335964777096080824022512503125.1 x20 - 2x19 - 27x18 + 58x17 + 272x16 - 639x15 - 1245x14 + 3339x13 + 2469x12 - 8464x11 - 1650x10 + 9965x9 + 827x8 - 6081x7 - 914x6 + 1796x5 + 510x4 - 151x3 - 63x2 - x + 1 \( 5^{5}\cdot 401^{10} \) $C_5:D_4$ (as 20T11) Trivial (GRH)
20.20.342322103763146027982431640625.1 x20 - 2x19 - 31x18 + 65x17 + 310x16 - 641x15 - 1445x14 + 2911x13 + 3496x12 - 6946x11 - 4324x10 + 9090x9 + 2099x8 - 6378x7 + 470x6 + 2072x5 - 673x4 - 143x3 + 105x2 - 18x + 1 \( 5^{10}\cdot 19^{5}\cdot 1699^{5} \) $D_5\wr C_2$ (as 20T48) Trivial (GRH)
20.20.344255425354822086003595935744.1 x20 - 19x18 + 152x16 - 666x14 + 1742x12 - 2782x10 + 2665x8 - 1443x6 + 390x4 - 40x2 + 1 \( 2^{20}\cdot 3^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) Trivial (GRH)
20.20.437402377341742634765604880384.1 x20 - 21x18 + 170x16 - 713x14 + 1721x12 - 2479x10 + 2121x8 - 1035x6 + 265x4 - 30x2 + 1 \( 2^{20}\cdot 11^{16}\cdot 23^{2}\cdot 131^{2} \) 20T341 Trivial (GRH)
20.20.790995461333388800811767578125.1 x20 - 5x19 - 17x18 + 123x17 + 30x16 - 1110x15 + 927x14 + 4504x13 - 6723x12 - 7662x11 + 17547x10 + 2813x9 - 18435x8 + 2142x7 + 8947x6 - 1585x5 - 1872x4 + 343x3 + 120x2 - 28x + 1 \( 3^{10}\cdot 5^{17}\cdot 23^{4}\cdot 89^{4} \) $C_4\times S_5$ (as 20T123) Trivial (GRH)
20.20.1033176787766327594146728515625.1 x20 - 31x18 + 383x16 - 2494x14 + 9467x12 - 21771x10 + 30363x8 - 24809x6 + 10867x4 - 2026x2 + 49 \( 3^{6}\cdot 5^{16}\cdot 23^{6}\cdot 89^{4} \) 20T368 Trivial (GRH)
20.20.1098857225002750228881347147041.1 x20 - 10x19 + 23x18 + 78x17 - 374x16 - 68x15 + 2157x14 - 1261x13 - 6828x12 + 6089x11 + 13699x10 - 13072x9 - 18747x8 + 14875x7 + 17766x6 - 8040x5 - 10656x4 + 587x3 + 2930x2 + 851x + 59 \( 23\cdot 31^{2}\cdot 83\cdot 709\cdot 1877^{2}\cdot 1933^{2}\cdot 8011^{2} \) 20T1110 Trivial (GRH)
20.20.1473037853855871696037385076736.1 x20 - 19x18 + 147x16 - 608x14 + 1472x12 - 2137x10 + 1828x8 - 872x6 + 212x4 - 24x2 + 1 \( 2^{20}\cdot 43^{2}\cdot 47^{2}\cdot 61^{4}\cdot 397^{4} \) 20T799 Trivial (GRH)
20.20.1753149859092675220167728505856.1 x20 - 4x19 - 21x18 + 96x17 + 127x16 - 802x15 - 163x14 + 3080x13 - 678x12 - 6233x11 + 2501x10 + 7005x9 - 3349x8 - 4342x7 + 2210x6 + 1361x5 - 724x4 - 155x3 + 97x2 - 5x - 1 \( 2^{10}\cdot 11^{16}\cdot 43^{2}\cdot 67^{4} \) 20T751 Trivial (GRH)
20.20.1950870747766649155582852857856.1 x20 - 22x18 + 187x16 - 824x14 + 2087x12 - 3146x10 + 2808x8 - 1426x6 + 377x4 - 42x2 + 1 \( 2^{40}\cdot 36497^{4} \) 20T279 Trivial (GRH)
20.20.2433062929616749991460283088896.1 x20 - 22x18 + 191x16 - 848x14 + 2111x12 - 3042x10 + 2520x8 - 1148x6 + 265x4 - 28x2 + 1 \( 2^{40}\cdot 38569^{4} \) 20T279 Trivial (GRH)
20.20.2570887044316499162825400390625.1 x20 - 4x19 - 22x18 + 84x17 + 203x16 - 662x15 - 1043x14 + 2502x13 + 3127x12 - 4870x11 - 5200x10 + 5134x9 + 4712x8 - 2917x7 - 2259x6 + 818x5 + 534x4 - 84x3 - 54x2 + 1 \( 5^{10}\cdot 460181^{2}\cdot 1114969^{2} \) 20T1021 Trivial (GRH)
20.20.2618179372631552556285166015625.1 x20 - 5x19 - 17x18 + 104x17 + 108x16 - 894x15 - 253x14 + 4107x13 - 396x12 - 10913x11 + 3697x10 + 16864x9 - 8756x8 - 14287x7 + 9640x6 + 5587x5 - 4819x4 - 514x3 + 846x2 - 100x - 1 \( 5^{10}\cdot 401^{9} \) $C_5:D_4$ (as 20T7) Trivial (GRH)
20.20.3051757812500000000000000000000.1 x20 - 20x18 + 170x16 - 800x14 + 2275x12 - 4005x10 + 4300x8 - 2675x6 + 875x4 - 125x2 + 5 \( 2^{20}\cdot 5^{35} \) $C_{20}$ (as 20T1) Trivial (GRH)
20.20.3158085435706035744886516350976.1 x20 - 2x19 - 32x18 + 70x17 + 385x16 - 936x15 - 2110x14 + 6016x13 + 4715x12 - 19030x11 - 340x10 + 26928x9 - 9892x8 - 14294x7 + 6850x6 + 3640x5 - 1617x4 - 514x3 + 126x2 + 36x + 1 \( 2^{30}\cdot 11^{18}\cdot 23^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.20.3165599696740582502041142585281.1 x20 - 7x19 - 12x18 + 158x17 - 22x16 - 1371x15 + 815x14 + 5755x13 - 3754x12 - 12200x11 + 6629x10 + 13087x9 - 5692x8 - 7261x7 + 2391x6 + 2072x5 - 418x4 - 294x3 + 17x2 + 16x + 1 \( 11^{16}\cdot 43^{4}\cdot 67^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial (GRH)
20.20.3165599696740582502041142585281.2 x20 - 2x19 - 33x18 + 54x17 + 399x16 - 470x15 - 2298x14 + 1592x13 + 6862x12 - 2024x11 - 10603x10 + 385x9 + 8089x8 + 480x7 - 3142x6 - 173x5 + 625x4 + 2x3 - 55x2 + 3x + 1 \( 11^{16}\cdot 43^{4}\cdot 67^{4} \) $C_2\times C_2^4:C_5$ (as 20T41) Trivial (GRH)
20.20.3206128490667995866421572265625.1 x20 - x19 - 31x18 + 30x17 + 368x16 - 338x15 - 2132x14 + 1794x13 + 6524x12 - 4730x11 - 11153x10 + 6622x9 + 10781x8 - 4995x7 - 5641x6 + 1922x5 + 1391x4 - 316x3 - 108x2 + 12x + 1 \( 3^{10}\cdot 5^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) Trivial (GRH)
20.20.3724513239982001674003134765625.1 x20 - 2x19 - 35x18 + 82x17 + 414x16 - 1076x15 - 2213x14 + 6605x13 + 5177x12 - 20965x11 - 1727x10 + 33661x9 - 12282x8 - 23057x7 + 16581x6 + 3122x5 - 5900x4 + 1710x3 - 71x2 - 25x + 1 \( 5^{10}\cdot 11^{16}\cdot 43^{2}\cdot 67^{2} \) $C_2^2\times C_2^4:C_5$ (as 20T86) Trivial (GRH)
20.20.4165603250470519816131337890625.1 x20 - x19 - 28x18 + 27x17 + 283x16 - 234x15 - 1349x14 + 832x13 + 3440x12 - 1390x11 - 4960x10 + 1063x9 + 4058x8 - 236x7 - 1798x6 - 101x5 + 385x4 + 44x3 - 33x2 - 3x + 1 \( 5^{10}\cdot 37^{2}\cdot 47^{2}\cdot 239^{2}\cdot 1571417^{2} \) 20T1021 Trivial (GRH)
20.20.4394336169668803158610484050361.1 x20 - x19 - 19x18 + 18x17 + 153x16 - 136x15 - 680x14 + 560x13 + 1820x12 - 1365x11 - 3003x10 + 2002x9 + 3003x8 - 1716x7 - 1716x6 + 792x5 + 495x4 - 165x3 - 55x2 + 10x + 1 \( 41^{19} \) $C_{20}$ (as 20T1) Trivial (GRH)
20.20.4474727508215936058626208169984.1 x20 - 20x18 + 164x16 - 715x14 + 1798x12 - 2644x10 + 2204x8 - 979x6 + 226x4 - 25x2 + 1 \( 2^{20}\cdot 11^{16}\cdot 23^{2}\cdot 419^{2} \) 20T341 Trivial (GRH)
20.20.4884750571953738236922117607273.1 x20 - 4x19 - 25x18 + 117x17 + 180x16 - 1199x15 - 186x14 + 5483x13 - 2045x12 - 12596x11 + 7421x10 + 15113x9 - 9814x8 - 9236x7 + 5722x6 + 2421x5 - 1409x4 - 79x3 + 122x2 - 20x + 1 \( 61^{7}\cdot 397^{7} \) $S_5$ (as 20T30) Trivial (GRH)
20.20.5121563026033464218514079350784.1 x20 - 5x19 - 19x18 + 144x17 - 31x16 - 1243x15 + 2007x14 + 3194x13 - 10432x12 + 2786x11 + 14980x10 - 12326x9 - 7448x8 + 10638x7 + 704x6 - 3796x5 + 355x4 + 601x3 - 79x2 - 34x + 4 \( 2^{24}\cdot 83^{6}\cdot 983^{4} \) 20T669 Trivial (GRH)
20.20.6113193735657808322804901216256.1 x20 - 20x18 + 169x16 - 784x14 + 2172x12 - 3664x10 + 3683x8 - 2072x6 + 575x4 - 60x2 + 1 \( 2^{40}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) Trivial (GRH)
20.20.6119366577566395275933837890625.1 x20 - 33x18 - 8x17 + 450x16 + 197x15 - 3262x14 - 1894x13 + 13516x12 + 8956x11 - 32275x10 - 21581x9 + 43333x8 + 24983x7 - 31327x6 - 12012x5 + 10432x4 + 1475x3 - 725x2 - 76x + 1 \( 3^{4}\cdot 5^{14}\cdot 23^{4}\cdot 89^{7} \) 20T174 Trivial (GRH)
20.20.7063749884567622760178373361664.1 x20 - 23x18 + 220x16 - 1138x14 + 3470x12 - 6387x10 + 7010x8 - 4398x6 + 1448x4 - 213x2 + 11 \( 2^{20}\cdot 11\cdot 17^{4}\cdot 157^{2}\cdot 4153^{4} \) 20T1015 Trivial (GRH)
20.20.8475158220156250000000000000000.1 x20 - 25x18 + 235x16 - 2x15 - 1080x14 + 10x13 + 2645x12 - 10x11 - 3557x10 - 10x9 + 2645x8 + 10x7 - 1080x6 - 2x5 + 235x4 - 25x2 + 1 \( 2^{16}\cdot 5^{22}\cdot 7^{8}\cdot 97^{2} \) 20T140 Trivial (GRH)
20.20.10054202156858080231167941574353.1 x20 - x19 - 33x18 + 48x17 + 398x16 - 758x15 - 2109x14 + 5370x13 + 4019x12 - 18033x11 + 3882x10 + 25627x9 - 20370x8 - 8176x7 + 14111x6 - 2752x5 - 1888x4 + 657x3 + 22x2 - 17x + 1 \( 17^{15}\cdot 37^{8} \) $C_2\times F_5$ (as 20T9) Trivial (GRH)
20.20.10809616201744832215040000000000.1 x20 - 21x18 + 188x16 - 936x14 + 2834x12 - 5359x10 + 6256x8 - 4300x6 + 1580x4 - 253x2 + 11 \( 2^{20}\cdot 5^{10}\cdot 11^{3}\cdot 28162171^{2} \) 20T1045 Trivial (GRH)
20.20.12180532532810607890279383957504.1 x20 - 24x18 + 231x16 - 1156x14 + 3282x12 - 5426x10 + 5186x8 - 2774x6 + 769x4 - 94x2 + 4 \( 2^{38}\cdot 83^{4}\cdot 983^{4} \) 20T568 Trivial (GRH)
20.20.12459079056924067396846384471889.1 x20 - 2x19 - 35x18 + 89x17 + 396x16 - 1294x15 - 1418x14 + 7492x13 - 955x12 - 17991x11 + 12766x10 + 15564x9 - 17904x8 - 2769x7 + 8376x6 - 1592x5 - 1061x4 + 331x3 + 29x2 - 15x + 1 \( 17^{2}\cdot 401^{11} \) $(C_2\times C_2^4:C_5).C_2$ (as 20T84) Trivial (GRH)
20.20.13275219335584153600000000000000.1 x20 - 8x19 - 2x18 + 156x17 - 258x16 - 858x15 + 2080x14 + 1992x13 - 6342x12 - 2464x11 + 9113x10 + 2464x9 - 6342x8 - 1992x7 + 2080x6 + 858x5 - 258x4 - 156x3 - 2x2 + 8x + 1 \( 2^{30}\cdot 5^{14}\cdot 1193^{4} \) $D_5\wr C_2:C_2$ (as 20T96) Trivial (GRH)
20.20.16448830823853299896572090366841.1 x20 - 10x19 + 23x18 + 78x17 - 374x16 - 68x15 + 2158x14 - 1268x13 - 6826x12 + 6168x11 + 13595x10 - 13443x9 - 18152x8 + 15876x7 + 16282x6 - 9819x5 - 8935x4 + 2606x3 + 2334x2 - 226x - 211 \( 17783^{2}\cdot 16604761\cdot 55968823^{2} \) 20T1110 Trivial (GRH)
20.20.16944343217067584829876535393609.1 x20 - 4x19 - 28x18 + 105x17 + 313x16 - 1091x15 - 1758x14 + 5752x13 + 5124x12 - 16433x11 - 7177x10 + 25301x9 + 3507x8 - 20001x7 + 1135x6 + 7243x5 - 1348x4 - 895x3 + 277x2 - 13x - 1 \( 397^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.20.18020324707031250000000000000000.1 x20 - 5x19 - 35x18 + 215x17 + 120x16 - 2121x15 + 1735x14 + 7145x13 - 11480x12 - 5515x11 + 19881x10 - 5515x9 - 11480x8 + 7145x7 + 1735x6 - 2121x5 + 120x4 + 215x3 - 35x2 - 5x + 1 \( 2^{16}\cdot 3^{10}\cdot 5^{31} \) $F_5$ (as 20T5) Trivial (GRH)
20.20.18213725822005703010206298828125.1 x20 - x19 - 35x18 + 21x17 + 470x16 - 203x15 - 3217x14 + 1178x13 + 12340x12 - 4086x11 - 27187x10 + 7734x9 + 33940x8 - 7178x7 - 22623x6 + 2714x5 + 7041x4 - 340x3 - 845x2 + 25 \( 5^{13}\cdot 419^{4}\cdot 695771^{2} \) 20T1039 Trivial (GRH)
20.20.18447363200000000000000000000000.1 x20 - 40x18 + 660x16 - 5800x14 + 29320x12 - 86420x10 + 145120x8 - 130160x6 + 55120x4 - 8800x2 + 80 \( 2^{28}\cdot 5^{23}\cdot 7^{8} \) $C_2\times F_5$ (as 20T9) Trivial (GRH)
20.20.19356024941343968143360000000000.1 x20 - 2x19 - 32x18 + 50x17 + 396x16 - 494x15 - 2496x14 + 2434x13 + 8869x12 - 6324x11 - 18596x10 + 8580x9 + 23081x8 - 5240x7 - 16182x6 + 300x5 + 5588x4 + 832x3 - 634x2 - 140x + 5 \( 2^{20}\cdot 5^{10}\cdot 17^{6}\cdot 23^{8} \) $C_2\times S_5$ (as 20T62) Trivial (GRH)
20.20.19630211233054062426348821057536.1 x20 - 2x19 - 32x18 + 64x17 + 413x16 - 826x15 - 2777x14 + 5546x13 + 10546x12 - 20970x11 - 23116x10 + 45532x9 + 28870x8 - 55732x7 - 19678x6 + 36176x5 + 6510x4 - 10466x3 - 737x2 + 678x + 1 \( 2^{12}\cdot 11^{8}\cdot 29^{2}\cdot 113^{8} \) 20T561 Trivial (GRH)
20.20.24371997355510472326748292775936.1 x20 - 10x19 + 17x18 + 122x17 - 413x16 - 412x15 + 2668x14 - 6x13 - 8161x12 + 2452x11 + 13443x10 - 4478x9 - 12172x8 + 2810x7 + 5842x6 - 450x5 - 1317x4 - 84x3 + 104x2 + 20x + 1 \( 2^{30}\cdot 7^{8}\cdot 13^{14} \) $C_2\times F_5$ (as 20T13) Trivial (GRH)
20.20.32403238330091474061186973105401.1 x20 - 4x19 - 30x18 + 104x17 + 412x16 - 1026x15 - 3328x14 + 4417x13 + 15997x12 - 4955x11 - 40546x10 - 18016x9 + 38071x8 + 41423x7 + 6152x6 - 9501x5 - 5039x4 - 725x3 + 54x2 + 19x + 1 \( 3^{4}\cdot 61^{2}\cdot 401^{10} \) $C_2\times C_2^4:D_5$ (as 20T81) Trivial (GRH)
20.20.41925588122943302709337877643264.1 x20 - 28x18 + 315x16 - 1876x14 + 6591x12 - 14324x10 + 19459x8 - 16156x6 + 7690x4 - 1840x2 + 169 \( 2^{40}\cdot 3^{10}\cdot 71^{8} \) $C_{10}\times D_5$ (as 20T24) Trivial (GRH)
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