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Results (1-50 of 4806 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
6.0.205...584.1 $x^{6} + 176249 x^{4} + 8107454 x^{2} + 93235721$ $-\,2^{6}\cdot 23^{3}\cdot 79^{5}\cdot 97^{5}$ $C_6$ (as 6T1) $[6, 6, 29225196]$ $79.99136357602775$
6.0.107...248.2 $x^{6} - 2 x^{5} - 6603 x^{4} + 154842 x^{3} + 11785294 x^{2} - 557483524 x + 6615653353$ $-\,2^{9}\cdot 13^{3}\cdot 9907^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 8, 39459672]$ $149.2351013937961$
6.0.276...000.1 $x^{6} + 350896280$ $-\,2^{9}\cdot 3^{6}\cdot 5^{5}\cdot 7^{5}\cdot 23^{3}\cdot 103^{5}$ $D_{6}$ (as 6T3) $[2, 2, 6, 6, 156, 91260]$ $254.27340259249078$
6.0.325...792.1 $x^{6} + 37037$ $-\,2^{6}\cdot 3^{6}\cdot 7^{5}\cdot 11^{5}\cdot 13^{5}\cdot 37^{5}$ $D_{6}$ (as 6T3) $[2, 6, 6, 6, 6, 18, 60372]$ $347.40597922111124$
6.0.709...000.1 $x^{6} - 63726 x^{4} - 21242 x^{3} + 1032456789 x^{2} - 1387888554 x + 62054477641$ $-\,2^{6}\cdot 3^{8}\cdot 5^{3}\cdot 13^{5}\cdot 19^{5}\cdot 43^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 6, 6, 102, 34884]$ $276.63163305379487$
6.0.901...011.1 $x^{6} - 125502 x^{4} - 41834 x^{3} + 3985127757 x^{2} - 5344753674 x + 335172439225$ $-\,3^{8}\cdot 7^{3}\cdot 13^{5}\cdot 1609^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 2, 6, 78, 288990]$ $307.174130677856$
6.0.135...088.1 $x^{6} - 45906 x^{4} - 15302 x^{3} + 537375636 x^{2} - 723386748 x + 27461183428$ $-\,2^{4}\cdot 3^{8}\cdot 7^{5}\cdot 17^{3}\cdot 1093^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 6, 58897818]$ $262.4348585817518$
6.0.177...731.1 $x^{6} - 1050209 x^{3} + 7265716524 x^{2} + 91848931614 x + 566009831665$ $-\,3^{9}\cdot 163^{5}\cdot 379^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 6, 6, 18, 885780]$ $359.3491715417714$
6.0.210...496.1 $x^{6} - 208014 x^{4} - 69338 x^{3} + 10918550853 x^{2} - 14624840298 x + 1180371733417$ $-\,2^{6}\cdot 3^{8}\cdot 37^{5}\cdot 937^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 9, 198, 77220]$ $331.0024305303504$
6.0.238...096.1 $x^{6} - 70314 x^{4} - 23438 x^{3} + 1255948668 x^{2} - 1687676628 x + 79255456372$ $-\,2^{4}\cdot 3^{9}\cdot 7^{3}\cdot 11719^{5}$ $S_3\times C_3$ (as 6T5) $[3, 6, 130224708]$ $280.9641852915475$
6.0.354...088.1 $x^{6} + 820907778$ $-\,2^{11}\cdot 3^{11}\cdot 53^{3}\cdot 919^{5}$ $D_{6}$ (as 6T3) $[2, 2, 6, 6, 792, 31680]$ $270.1833001060684$
6.0.372...424.1 $x^{6} + 131556 x^{4} - 68058304 x^{3} + 5811486300 x^{2} - 5097360865200 x + 1222838158159000$ $-\,2^{9}\cdot 3^{8}\cdot 11^{3}\cdot 19^{4}\cdot 577^{5}$ $S_3\times C_3$ (as 6T5) $[3, 6, 6, 6, 5856084]$ $422.8279554479611$
6.0.515...832.1 $x^{6} - 164166 x^{4} - 54722 x^{3} + 6808538601 x^{2} - 9124838778 x + 654344690113$ $-\,2^{9}\cdot 3^{8}\cdot 27361^{5}$ $S_3\times C_3$ (as 6T5) $[3, 2424171204]$ $319.72648251904695$
6.0.580...288.1 $x^{6} - 57462 x^{4} - 19154 x^{3} + 840209364 x^{2} - 1129932768 x + 47978739676$ $-\,2^{4}\cdot 3^{8}\cdot 19^{3}\cdot 61^{5}\cdot 157^{5}$ $S_3\times C_3$ (as 6T5) $[3, 6, 200640468]$ $272.11193548375684$
6.0.689...000.1 $x^{6} + 1025202750$ $-\,2^{11}\cdot 3^{11}\cdot 5^{3}\cdot 11^{3}\cdot 13^{5}\cdot 79^{5}$ $D_{6}$ (as 6T3) $[2, 2, 2, 2, 2, 6, 6, 270, 23760]$ $274.422802283743$
8.0.102...744.1 $x^{8} + 204204 x^{6} + 10424818404 x^{4} + 177399134780868 x^{2} + 754700269141507689$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 11^{4}\cdot 13^{4}\cdot 17^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2802, 2802]$ $21.287188641522963$
8.0.113...921.1 $x^{8} - 3 x^{7} + 61255 x^{6} + 122679 x^{5} + 501055320 x^{4} + 404247564 x^{3} + 1234857320512 x^{2} + 1655172722880 x + 723936601859584$ $3^{6}\cdot 11^{6}\cdot 17^{6}\cdot 19^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 6062, 6062]$ $1778.2833765514763$
8.0.130...961.1 $x^{8} - x^{7} + 21737 x^{6} + 88265 x^{5} + 173569270 x^{4} + 932586952 x^{3} + 602842775648 x^{2} + 2435623589008 x + 759589912470496$ $3^{6}\cdot 7^{6}\cdot 13^{6}\cdot 17^{6}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 1948, 5844]$ $1706.950274733737$
8.0.133...625.1 $x^{8} - x^{7} + 63776 x^{6} + 255266 x^{5} + 1219098373 x^{4} + 7778385703 x^{3} + 7439528984474 x^{2} + 29711684041528 x + 13548110758906816$ $3^{6}\cdot 5^{4}\cdot 7^{4}\cdot 11^{6}\cdot 13^{4}\cdot 17^{6}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3202, 3202]$ $1778.2833765514763$
8.0.160...944.1 $x^{8} + 228228 x^{6} + 13022004996 x^{4} + 247665513018924 x^{2} + 1177587598026728889$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 11^{4}\cdot 13^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3322, 3322]$ $21.287188641522963$
8.0.176...193.1 $x^{8} - x^{7} + 2122 x^{6} - 39330 x^{5} + 4144821 x^{4} + 24141747 x^{3} + 1540947392 x^{2} - 171927064784 x + 3339224703104$ $73^{7}\cdot 233^{6}$ $C_8$ (as 8T1) $[5513055508]$ $10395.0113283$
8.0.237...000.1 $x^{8} + 251940 x^{6} + 15868440900 x^{4} + 333157916695500 x^{2} + 1748662615255505625$ $2^{24}\cdot 3^{6}\cdot 5^{4}\cdot 13^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3134, 3134]$ $21.287188641522963$
8.0.261...000.1 $x^{8} + 258060 x^{6} + 16648740900 x^{4} + 358031173054500 x^{2} + 1924865094134255625$ $2^{24}\cdot 3^{6}\cdot 5^{4}\cdot 11^{4}\cdot 17^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 1546, 1546]$ $21.287188641522963$
8.0.279...281.2 $x^{8} - x^{7} + 26378 x^{6} + 86 x^{5} + 260165689 x^{4} + 45371623 x^{3} + 1128045791804 x^{2} + 2837768452 x + 1818890323264576$ $3^{6}\cdot 7^{6}\cdot 13^{6}\cdot 17^{6}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 6292, 18876]$ $1706.950274733737$
8.0.343...224.1 $x^{8} + 276276 x^{6} + 19082107044 x^{4} + 439327350474012 x^{2} + 2528658397490794569$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 11^{4}\cdot 13^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 1604, 1604]$ $21.287188641522963$
8.0.467...784.1 $x^{8} + 298452 x^{6} + 22268399076 x^{4} + 553837353419196 x^{2} + 3443622204222205929$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 11^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3674, 3674]$ $21.287188641522963$
8.0.533...584.6 $x^{8} + 29716 x^{6} + 220760164 x^{4} + 594065601324 x^{2} + 532088565032025$ $2^{24}\cdot 17^{6}\cdot 19^{6}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 4, 4, 4, 4, 1236, 4944]$ $1270.5324197061695$
8.0.761...000.1 $x^{8} + 213180 x^{6} + 10225285290 x^{4} + 80734308078600 x^{2} + 143424498301632900$ $2^{22}\cdot 3^{6}\cdot 5^{6}\cdot 11^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 1430, 1430]$ $54.52131853640607$
8.0.785...625.4 $x^{8} - 3 x^{7} + 18055 x^{6} - 111621 x^{5} + 101515224 x^{4} - 1596051000 x^{3} + 149120229520 x^{2} - 6942078570000 x + 75452224163200$ $3^{6}\cdot 5^{4}\cdot 13^{6}\cdot 17^{6}\cdot 23^{6}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 4, 4, 1020, 4080]$ $4675.401271087861$
8.0.823...056.1 $x^{8} + 204204 x^{6} + 8891756874 x^{4} + 125222918668848 x^{2} + 376044424762550544$ $2^{22}\cdot 3^{4}\cdot 7^{4}\cdot 11^{4}\cdot 13^{4}\cdot 17^{6}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 1494, 1494]$ $125.49277292047219$
8.0.865...209.1 $x^{8} - 3 x^{7} + 8468 x^{6} - 150738 x^{5} + 22418861 x^{4} + 396498613 x^{3} - 32011251778 x^{2} - 848649683424 x + 28742837126528$ $113^{6}\cdot 401^{6}$ $Q_8$ (as 8T5) $[2, 4522, 203490]$ $8223.52656633$
8.0.912...864.1 $x^{8} + 352716 x^{6} + 31102144164 x^{4} + 914185323412452 x^{2} + 6717662302765550409$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 13^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 5198, 5198]$ $21.287188641522963$
8.0.923...376.1 $x^{8} + 184756 x^{6} + 5430533108 x^{4} + 35832984817916 x^{2} + 37615675812607321$ $2^{24}\cdot 11^{6}\cdot 13^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 5970, 5970]$ $126.1318284350999$
8.0.978...000.2 $x^{8} + 135660 x^{6} + 5915454300 x^{4} + 81735146608500 x^{2} + 3000051403925625$ $2^{24}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2190, 4380]$ $116.6588945460986$
8.0.100...864.1 $x^{8} + 361284 x^{6} + 32631532164 x^{4} + 982437538861548 x^{2} + 7394561745626156409$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 11^{4}\cdot 17^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 2286, 2286]$ $21.287188641522963$
8.0.120...000.1 $x^{8} + 197340 x^{6} + 6195489300 x^{4} + 43664923516500 x^{2} + 48959295492875625$ $2^{24}\cdot 3^{4}\cdot 5^{4}\cdot 11^{6}\cdot 13^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2954, 2954]$ $126.1318284350999$
8.0.124...000.3 $x^{8} + 30940 x^{6} + 229853260 x^{4} + 183080488500 x^{2} + 35014143425625$ $2^{24}\cdot 5^{6}\cdot 7^{6}\cdot 13^{6}\cdot 17^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3816, 3816]$ $1380.6902269245618$
8.0.124...000.4 $x^{8} + 30940 x^{6} + 248788540 x^{4} + 183080488500 x^{2} + 35014143425625$ $2^{24}\cdot 5^{6}\cdot 7^{6}\cdot 13^{6}\cdot 17^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3288, 3288]$ $1380.6902269245618$
8.0.125...864.2 $x^{8} + 204204 x^{6} + 14147967834 x^{4} + 354798269561736 x^{2} + 1540204630901036100$ $2^{22}\cdot 3^{6}\cdot 7^{6}\cdot 11^{4}\cdot 13^{4}\cdot 17^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 4122, 4122]$ $97.6988467620126$
8.0.148...000.1 $x^{8} + 251940 x^{6} + 14281596810 x^{4} + 133263166678200 x^{2} + 279786018440880900$ $2^{22}\cdot 3^{6}\cdot 5^{6}\cdot 13^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 6, 6, 492, 492]$ $54.52131853640607$
8.0.148...000.2 $x^{8} + 251940 x^{6} + 20628973170 x^{4} + 666315833391000 x^{2} + 6994650461022022500$ $2^{22}\cdot 3^{6}\cdot 5^{6}\cdot 13^{4}\cdot 17^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 1826, 1826]$ $54.52131853640607$
8.0.151...625.4 $x^{8} - 3 x^{7} + 20148 x^{6} + 88150 x^{5} + 107098581 x^{4} - 1425481315 x^{3} + 153676038518 x^{2} - 6526881311472 x + 123445713318656$ $5^{4}\cdot 7^{6}\cdot 11^{6}\cdot 13^{6}\cdot 17^{6}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 1988, 3976]$ $9884.0828743948$
8.0.163...000.1 $x^{8} + 258060 x^{6} + 14983866810 x^{4} + 143212469221800 x^{2} + 307978415061480900$ $2^{22}\cdot 3^{6}\cdot 5^{6}\cdot 11^{4}\cdot 17^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3546, 3546]$ $54.52131853640607$
8.0.172...000.1 $x^{8} + 125580 x^{6} + 2699153730 x^{4} + 7617072481200 x^{2} + 3679046008419600$ $2^{22}\cdot 3^{4}\cdot 5^{6}\cdot 7^{4}\cdot 13^{6}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 814, 3256]$ $186.8030680507958$
8.0.194...000.1 $x^{8} + 34580 x^{6} + 61102860 x^{4} + 28399689500 x^{2} + 674492625625$ $2^{24}\cdot 5^{6}\cdot 7^{6}\cdot 13^{6}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3976, 3976]$ $1380.6902269245618$
8.0.194...000.8 $x^{8} + 34580 x^{6} + 431662140 x^{4} + 2300374849500 x^{2} + 4425346116725625$ $2^{24}\cdot 5^{6}\cdot 7^{6}\cdot 13^{6}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3880, 3880]$ $1380.6902269245618$
8.0.196...544.1 $x^{8} + 426972 x^{6} + 45576272196 x^{4} + 1621649341005876 x^{2} + 14424976300582518489$ $2^{24}\cdot 3^{6}\cdot 7^{4}\cdot 13^{4}\cdot 17^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 2, 4, 1324, 2648]$ $21.287188641522963$
8.0.196...064.1 $x^{8} + 228228 x^{6} + 13952148210 x^{4} + 212284725444792 x^{2} + 96129599838916644$ $2^{22}\cdot 3^{6}\cdot 7^{6}\cdot 11^{4}\cdot 13^{4}\cdot 19^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3934, 3934]$ $97.6988467620126$
8.0.210...000.1 $x^{8} + 164220 x^{6} + 4815751500 x^{4} + 39542135566500 x^{2} + 6442072919375625$ $2^{24}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6}\cdot 17^{4}\cdot 23^{4}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 2, 2, 3070, 6140]$ $116.6588945460986$
8.0.212...000.3 $x^{8} + 30940 x^{6} + 282760660 x^{4} + 812015813700 x^{2} + 66340291952025$ $2^{24}\cdot 5^{6}\cdot 7^{6}\cdot 13^{4}\cdot 17^{6}$ $Q_8$ (as 8T5) $[2, 2, 2, 2, 2, 4348, 8696]$ $4446.505132036145$
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