Learn more about

Further refine search

Results (displaying matches 1-50 of 468) Next

Label Polynomial Discriminant Galois group Class group
20.0.177917354031751407392000000000000000.1 x20 + 55x18 + 1265x16 + 15950x14 + 121550x12 + 581625x10 + 1754500x8 + 3251875x6 + 3478750x4 + 1890625x2 + 378125 \( 2^{20}\cdot 5^{15}\cdot 11^{18} \) $C_{20}$ (as 20T1) $[2, 2, 2762]$ (GRH)
20.0.401221017379430122673511505126953125.1 x20 + 60x18 + 1530x16 - 61x15 + 21600x14 - 2745x13 + 184275x12 - 49410x11 + 976936x10 - 452925x9 + 3246330x8 - 2223450x7 + 7022340x6 - 5859721x5 + 10764225x4 - 10075065x3 + 9995400x2 - 13549320x + 18662101 \( 5^{35}\cdot 13^{10} \) $C_{20}$ (as 20T1) $[15362]$ (GRH)
20.0.661866033279225680306281949177084481.3 x20 - x19 + 76x18 - 63x17 + 2419x16 - 1600x15 + 41961x14 - 21161x13 + 433108x12 - 158015x11 + 2727803x10 - 642587x9 + 10282204x8 - 563649x7 + 21527189x6 + 7639032x5 + 21771895x4 + 31792177x3 + 2367428x2 + 21109951x + 74991181 \( 3^{10}\cdot 11^{18}\cdot 17^{10} \) $C_2\times C_{10}$ (as 20T3) $[29110]$ (GRH)
20.0.1505680748169532571648000000000000000.1 x20 - 4x19 + 40x18 - 124x17 + 815x16 - 2164x15 + 10834x14 - 24620x13 + 101774x12 - 198776x11 + 710860x10 - 1188452x9 + 3826719x8 - 5429272x7 + 15991074x6 - 18262392x5 + 47151361x4 - 38741504x3 + 92992732x2 - 43101732x + 90594151 \( 2^{30}\cdot 5^{15}\cdot 11^{16} \) $C_{20}$ (as 20T1) $[22082]$ (GRH)
20.0.1741167538834544763439794528727334912.1 x20 + 61x18 + 1529x16 + 20608x14 + 164027x12 + 798075x10 + 2385289x8 + 4315198x6 + 4539685x4 + 2528263x2 + 571787 \( 2^{36}\cdot 83^{7}\cdot 983^{4} \) 20T807 $[2, 10696]$ (GRH)
20.0.1767246164450779958943837335205078125.1 x20 - 3x19 + 49x18 - 231x17 + 1502x16 - 7304x15 + 33532x14 - 137685x13 + 515016x12 - 1709342x11 + 5124144x10 - 13137281x9 + 30194239x8 - 57126905x7 + 97213725x6 - 130092378x5 + 155067625x4 - 134835408x3 + 98000344x2 - 43507098x + 11369359 \( 5^{14}\cdot 6029^{7} \) $C_4:S_5$ (as 20T120) $[16350]$ (GRH)
20.0.1791119283562577700931594240000000000.2 x20 + 64x18 + 1623x16 + 21179x14 + 153351x12 + 619709x10 + 1364983x8 + 1646074x6 + 1073921x4 + 351315x2 + 44521 \( 2^{20}\cdot 5^{10}\cdot 211^{10} \) 20T538 $[2, 5782]$ (GRH)
20.0.2012875387628441371387683404151209769.2 x20 - 8x19 + 57x18 - 268x17 + 1305x16 - 4868x15 + 18820x14 - 58074x13 + 190380x12 - 496518x11 + 1417274x10 - 3119270x9 + 7888313x8 - 14323286x7 + 32582283x6 - 46229958x5 + 96425775x4 - 94586934x3 + 187924326x2 - 93204582x + 185992621 \( 3^{10}\cdot 11^{18}\cdot 19^{10} \) $C_2\times C_{10}$ (as 20T3) $[44110]$ (GRH)
20.0.2751180061734552963011647245712890625.3 x20 - 8x19 + 51x18 - 216x17 + 990x16 - 3670x15 + 15425x14 - 51533x13 + 190246x12 - 551591x11 + 1770300x10 - 4438083x9 + 12400559x8 - 26337315x7 + 62549497x6 - 106576405x5 + 207253409x4 - 256367111x3 + 390090877x2 - 272454303x + 305078741 \( 5^{10}\cdot 11^{16}\cdot 19^{10} \) $C_2\times C_{10}$ (as 20T3) $[5, 9020]$ (GRH)
20.0.2788499543846837793819477624443028601.1 x20 - 6x19 + x18 + 120x17 - 435x16 - 90x15 + 8221x14 - 47673x13 + 188347x12 - 585015x11 + 1564827x10 - 3594273x9 + 7448650x8 - 13413591x7 + 22178110x6 - 31190787x5 + 40784529x4 - 42150471x3 + 41501494x2 - 25350279x + 16791547 \( 11^{10}\cdot 401^{10} \) $D_{10}$ (as 20T4) $[59, 354]$ (GRH)
20.0.3361869388230684433628866560000000000.5 x20 - 10x19 + 63x18 - 282x17 + 1160x16 - 4180x15 + 14148x14 - 41798x13 + 119190x12 - 304054x11 + 755996x10 - 1649418x9 + 3590458x8 - 6710840x7 + 12787473x6 - 19605652x5 + 32733776x4 - 38415016x3 + 55028485x2 - 38299500x + 51338101 \( 2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) $[2, 7964]$ (GRH)
20.0.3361869388230684433628866560000000000.6 x20 - 10x19 + 101x18 - 624x17 + 3723x16 - 16932x15 + 73284x14 - 259722x13 + 871872x12 - 2466574x11 + 6580762x10 - 14901524x9 + 31769904x8 - 57031380x7 + 96245877x6 - 132713622x5 + 176867685x4 - 178742094x3 + 183092351x2 - 109373078x + 175645009 \( 2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) $[2, 2, 7964]$ (GRH)
20.0.3361869388230684433628866560000000000.7 x20 - 2x19 + 31x18 - 50x17 + 618x16 - 936x15 + 8702x14 - 11788x13 + 92914x12 - 115100x11 + 776698x10 - 862794x9 + 5053831x8 - 4931470x7 + 25267471x6 - 20925574x5 + 92642076x4 - 59924902x3 + 223626538x2 - 87181604x + 261399601 \( 2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) $[2, 22444]$ (GRH)
20.0.3505620633117315270704643942218989568.1 x20 + 34x18 + 505x16 + 4309x14 + 23345x12 + 83662x10 + 199918x8 + 312140x6 + 300670x4 + 157108x2 + 31727 \( 2^{20}\cdot 397^{2}\cdot 401^{8}\cdot 31727 \) 20T905 $[10268]$ (GRH)
20.0.3568750257720821537077426910400390625.2 x20 - 10x19 + 75x18 - 390x17 + 1875x16 - 7450x15 + 28295x14 - 92265x13 + 292905x12 - 807385x11 + 2196472x10 - 5146960x9 + 12113975x8 - 23857065x7 + 48478500x6 - 77459025x5 + 134373945x4 - 159513940x3 + 232462355x2 - 158171460x + 190774501 \( 5^{34}\cdot 19^{10} \) $C_2\times C_{10}$ (as 20T3) $[11, 6820]$ (GRH)
20.0.4740051676493198468117329734209110016.1 x20 + 36x18 + 568x16 + 5155x14 + 29666x12 + 112387x10 + 281230x8 + 452645x6 + 438787x4 + 223265x2 + 42899 \( 2^{20}\cdot 397^{2}\cdot 401^{8}\cdot 42899 \) 20T905 $[18954]$ (GRH)
20.0.5122032215736963025518846392163893248.4 x20 + 50x18 + 976x16 + 9922x14 + 58835x12 + 214634x10 + 489345x8 + 683880x6 + 547553x4 + 212662x2 + 24217 \( 2^{20}\cdot 61^{7}\cdot 397^{7} \) 20T285 $[2, 2, 2, 2216]$ (GRH)
20.0.5122032215736963025518846392163893248.5 x20 + 67x18 + 1764x16 + 24920x14 + 212516x12 + 1151718x10 + 4031713x8 + 9017461x6 + 12336676x4 + 9309132x2 + 2930257 \( 2^{20}\cdot 61^{7}\cdot 397^{7} \) 20T285 $[2, 2, 2, 1536]$ (GRH)
20.0.5122032215736963025518846392163893248.6 x20 + 71x18 + 1978x16 + 29031x14 + 247863x12 + 1262043x10 + 3740109x8 + 6000283x6 + 4599194x4 + 1262061x2 + 24217 \( 2^{20}\cdot 61^{7}\cdot 397^{7} \) 20T291 $[2, 2, 2, 1482]$ (GRH)
20.0.5122032215736963025518846392163893248.7 x20 + 47x18 + 931x16 + 10190x14 + 67793x12 + 283555x10 + 743210x8 + 1173989x6 + 1018118x4 + 387472x2 + 24217 \( 2^{20}\cdot 61^{7}\cdot 397^{7} \) 20T674 $[2, 2, 3002]$ (GRH)
20.0.5416821917044323616800000000000000000.1 x20 + 85x18 + 2910x16 + 51540x14 + 508110x12 + 2829085x10 + 8749220x8 + 14430600x6 + 12243450x4 + 4786875x2 + 595125 \( 2^{20}\cdot 3^{6}\cdot 5^{17}\cdot 23^{6}\cdot 89^{4} \) 20T802 $[2, 2, 2, 3948]$ (GRH)
20.0.5867314468047698028385639190673828125.1 x20 + 80x18 + 2720x16 - 101x15 + 51200x14 - 6060x13 + 582400x12 - 145440x11 + 4111321x10 - 1777600x9 + 18020840x8 - 11635200x7 + 49539760x6 - 40331421x5 + 89987200x4 - 82660420x3 + 98054400x2 - 123793680x + 161532401 \( 5^{35}\cdot 17^{10} \) $C_{20}$ (as 20T1) $[11, 5302]$ (GRH)
20.0.7485173980890456751447848616884765625.3 x20 - 8x19 + 85x18 - 452x17 + 2805x16 - 11164x15 + 50196x14 - 154322x13 + 545148x12 - 1288958x11 + 3763442x10 - 6455702x9 + 17066125x8 - 18471830x7 + 58248347x6 - 42951490x5 + 208776667x4 - 194745002x3 + 559410178x2 - 418237586x + 471865021 \( 5^{10}\cdot 11^{18}\cdot 13^{10} \) $C_2\times C_{10}$ (as 20T3) $[2, 34550]$ (GRH)
20.0.11753236087178400090650813750280454144.2 x20 + 15x18 + 225x16 + 5124x14 + 79368x12 + 760574x10 + 4742038x8 + 19589641x6 + 52211443x4 + 81835911x2 + 57592921 \( 2^{20}\cdot 11^{18}\cdot 17^{10} \) $C_2\times C_{10}$ (as 20T3) $[5, 9020]$ (GRH)
20.0.11810188878527654537542400000000000000.1 x20 + 29x18 + 364x16 + 2594x14 + 11572x12 + 33605x10 + 64013x8 + 78578x6 + 59173x4 + 24529x2 + 4211 \( 2^{20}\cdot 5^{14}\cdot 11^{4}\cdot 2339^{4}\cdot 4211 \) 20T1023 $[11210]$ (GRH)
20.0.14721368184134803768121600000000000000.1 x20 + 31x18 + 418x16 + 3214x14 + 15520x12 + 48835x10 + 100439x8 + 131422x6 + 102121x4 + 40355x2 + 5249 \( 2^{20}\cdot 5^{14}\cdot 11^{4}\cdot 29\cdot 181\cdot 2339^{4} \) 20T1023 $[2, 6606]$ (GRH)
20.0.18589228510326313111158199467666015625.1 x20 - 8x19 + 61x18 - 288x17 + 1519x16 - 5990x15 + 27289x14 - 94767x13 + 377005x12 - 1137389x11 + 3936196x10 - 10220558x9 + 30705792x8 - 67154201x7 + 172058932x6 - 301380451x5 + 638638334x4 - 811477632x3 + 1365577686x2 - 975548791x + 1232556799 \( 5^{10}\cdot 11^{16}\cdot 23^{10} \) $C_2\times C_{10}$ (as 20T3) $[4, 4, 4, 1212]$ (GRH)
20.0.22923990352931577546297600000000000000.1 x20 + 61x18 + 1544x16 + 21554x14 + 184919x12 + 1020980x10 + 3666211x8 + 8396334x6 + 11588274x4 + 8541234x2 + 2518569 \( 2^{20}\cdot 3^{6}\cdot 5^{14}\cdot 23^{8}\cdot 89^{4} \) 20T794 $[2, 2, 16896]$ (GRH)
20.0.28352955239860252353862400000000000000.1 x20 + 56x18 + 1198x16 + 12323x14 + 64301x12 + 175867x10 + 255321x8 + 200233x6 + 83413x4 + 17061x2 + 1331 \( 2^{20}\cdot 5^{14}\cdot 11^{11}\cdot 353^{4} \) 20T658 $[2, 6536]$ (GRH)
20.0.28450861599572073223437680640000000000.12 x20 - 6x19 + 17x18 - 32x17 + 250x16 - 1020x15 + 4412x14 - 11806x13 + 44062x12 - 106082x11 + 423020x10 - 904550x9 + 3284704x8 - 5732304x7 + 18813981x6 - 26215344x5 + 75066884x4 - 75054826x3 + 171978345x2 - 92300794x + 161255599 \( 2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 11^{16} \) $C_2\times C_{10}$ (as 20T3) $[72820]$ (GRH)
20.0.35635746108202593567757236917916961401.1 x20 - 6x19 + 17x18 - 30x17 - 56x16 + 282x15 - 1314x14 + 6402x13 - 18345x12 + 53466x11 - 50276x10 - 121860x9 - 59897x8 - 256473x7 + 2786196x6 - 16211013x5 + 92157240x4 - 196740684x3 + 364129143x2 - 482420925x + 541725625 \( 3^{10}\cdot 7^{10}\cdot 271^{10} \) $D_{10}$ (as 20T4) $[58, 174]$ (GRH)
20.0.55205220243101566254904697284680320000.1 x20 + 75x18 + 2202x16 + 32636x14 + 263150x12 + 1158186x10 + 2660692x8 + 2931649x6 + 1587038x4 + 401467x2 + 36497 \( 2^{10}\cdot 5^{4}\cdot 36497^{7} \) 20T966 $[11164]$ (GRH)
20.0.59699157574783284402391613440000000000.5 x20 + 44x18 + 1001x16 + 14036x14 + 132880x12 + 855536x10 + 3758139x8 + 10624284x6 + 18612099x4 + 15877620x2 + 7144929 \( 2^{40}\cdot 5^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) $[2, 11346]$ (GRH)
20.0.61994950383582739305329189990712890625.1 x20 - 6x19 + 11x18 + 66x17 - 310x16 + 6x15 + 9149x14 - 62535x13 + 298054x12 - 1076553x11 + 3378009x10 - 8889480x9 + 21295798x8 - 43398393x7 + 82262609x6 - 129433389x5 + 193238486x4 - 220673892x3 + 249064514x2 - 165797355x + 128216149 \( 3^{10}\cdot 5^{10}\cdot 401^{10} \) $D_{10}$ (as 20T4) $[2, 2, 2, 2, 22, 198]$ (GRH)
20.0.63416710432928568752221553366630662144.1 x20 + 70x18 + 1764x16 + 20868x14 + 133613x12 + 490412x10 + 1030884x8 + 1168480x6 + 610638x4 + 98758x2 + 4489 \( 2^{20}\cdot 67^{6}\cdot 401^{8} \) 20T313 $[4, 8516]$ (GRH)
20.0.63416710432928568752221553366630662144.2 x20 + 74x18 + 2388x16 + 44138x14 + 515533x12 + 3953635x10 + 19980091x8 + 64660896x6 + 124191468x4 + 117809316x2 + 29452329 \( 2^{20}\cdot 67^{6}\cdot 401^{8} \) 20T313 $[4, 4360]$ (GRH)
20.0.63416710432928568752221553366630662144.3 x20 + 72x18 + 2148x16 + 34469x14 + 323346x12 + 1806187x10 + 5857425x8 + 10134540x6 + 7361131x4 + 395769x2 + 4489 \( 2^{20}\cdot 67^{6}\cdot 401^{8} \) 20T324 $[4, 4072]$ (GRH)
20.0.63416710432928568752221553366630662144.4 x20 + 73x18 + 2072x16 + 29319x14 + 223804x12 + 942126x10 + 2139944x8 + 2415464x6 + 1122426x4 + 184585x2 + 4489 \( 2^{20}\cdot 67^{6}\cdot 401^{8} \) 20T324 $[2, 8144]$ (GRH)
20.0.82270188117030423168911138645967110144.1 x20 + 80x18 + 2725x16 + 52004x14 + 616265x12 + 4747128x10 + 24125607x8 + 80059320x6 + 166415810x4 + 196170128x2 + 99859859 \( 2^{40}\cdot 11^{17}\cdot 23^{6} \) 20T326 $[2, 2, 3888]$ (GRH)
20.0.82270188117030423168911138645967110144.2 x20 + 100x18 + 3758x16 + 74104x14 + 870719x12 + 6447376x10 + 30638916x8 + 92413816x6 + 169077370x4 + 168727724x2 + 69135539 \( 2^{40}\cdot 11^{17}\cdot 23^{6} \) 20T326 $[2, 2, 3804]$ (GRH)
20.0.97243636996704282094565176844674400256.7 x20 + 25x18 + 284x16 + 1974x14 + 9662x12 + 36994x10 + 121993x8 + 375417x6 + 1130970x4 + 3394120x2 + 10182481 \( 2^{20}\cdot 3^{10}\cdot 7^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) $[2, 8184]$ (GRH)
20.0.97243636996704282094565176844674400256.11 x20 - 2x19 + 25x18 - 48x17 + 973x16 - 1898x15 + 14571x14 - 27244x13 + 266341x12 - 505438x11 + 2417591x10 - 4262356x9 + 24070297x8 - 44565012x7 + 126200543x6 - 278561850x5 + 778793317x4 - 1420801804x3 + 2346260051x2 - 1529298058x + 1335925537 \( 2^{20}\cdot 3^{10}\cdot 7^{10}\cdot 11^{18} \) $C_2\times C_{10}$ (as 20T3) $[2, 22220]$ (GRH)
20.0.99465402919592410684515977523034587136.2 x20 - 10x19 + 41x18 - 84x17 + 344x16 - 2140x15 + 5426x14 - 736x13 + 9401x12 - 144650x11 + 166397x10 + 733364x9 + 16678x8 - 6490784x7 - 1740120x6 + 33068752x5 + 28421816x4 - 122025696x3 - 162530192x2 + 230512192x + 420418912 \( 2^{30}\cdot 11^{16}\cdot 17^{10} \) $C_2\times C_{10}$ (as 20T3) $[19910]$ (GRH)
20.0.100764138125150864012219565433276071936.1 x20 + 34x18 + 499x16 + 4140x14 + 21342x12 + 70676x10 + 149837x8 + 195446x6 + 142261x4 + 45084x2 + 1521 \( 2^{20}\cdot 3^{2}\cdot 13^{2}\cdot 401^{8}\cdot 9721^{2} \) 20T853 $[2, 2, 3954]$ (GRH)
20.0.109460540927745402703534939794619140625.2 x20 - 8x19 + 11x18 + 72x17 - 26x16 - 1320x15 + 1224x14 + 11878x13 - 4180x12 - 102854x11 + 8986x10 + 682712x9 + 349107x8 - 3332126x7 - 2328113x6 + 10868044x5 + 26804764x4 - 46370542x3 - 21459284x2 - 30430726x + 154880969 \( 5^{10}\cdot 11^{18}\cdot 17^{10} \) $C_2\times C_{10}$ (as 20T3) $[17416]$ (GRH)
20.0.115082500831447662912765425603842146304.2 x20 - 2x19 - 15x18 + 26x17 + 174x16 - 248x15 - 203x14 + 342x13 + 4287x12 + 906x11 + 20385x10 - 40518x9 + 179119x8 - 154430x7 + 766773x6 - 477652x5 + 2036322x4 - 264554x3 + 4014037x2 + 734442x + 3286971 \( 2^{30}\cdot 41^{18} \) $C_2\times C_{10}$ (as 20T3) $[31310]$ (GRH)
20.0.142272327122261506049033808572607102976.1 x20 - 4x19 + 34x18 - 132x17 + 709x16 - 2396x15 + 8264x14 - 24012x13 + 37584x12 - 68008x11 + 3274x10 + 280784x9 + 361817x8 - 3064120x7 + 10758886x6 - 28153856x5 + 55154491x4 - 84942664x3 + 107321392x2 - 92496540x + 37311425 \( 2^{30}\cdot 19^{10}\cdot 43^{10} \) $D_{10}$ (as 20T4) $[62, 496]$ (GRH)
20.0.142272327122261506049033808572607102976.2 x20 - 4x19 + 34x18 - 168x17 + 939x16 - 3852x15 + 16802x14 - 61676x13 + 215150x12 - 689048x11 + 2100216x10 - 5913476x9 + 15156257x8 - 34282576x7 + 70051658x6 - 119636172x5 + 180714223x4 - 203873920x3 + 201449168x2 - 105586732x + 53218751 \( 2^{30}\cdot 19^{10}\cdot 43^{10} \) $D_{10}$ (as 20T4) $[5, 5, 5, 150]$ (GRH)
20.0.143395969135330465829722243945339027456.1 x20 + 55x18 + 1163x16 + 12828x14 + 82081x12 + 314412x10 + 706127x8 + 850547x6 + 425738x4 + 16988x2 + 169 \( 2^{20}\cdot 61^{18} \) $C_2\times C_{10}$ (as 20T3) $[10065]$ (GRH)
20.0.155001565690910175489086518358964174848.1 x20 + 30x18 + 391x16 + 2908x14 + 13624x12 + 41848x10 + 84940x8 + 111844x6 + 90823x4 + 40794x2 + 7673 \( 2^{56}\cdot 809^{6}\cdot 7673 \) 20T955 $[2, 7846]$ (GRH)
Next

Download all search results for