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Results (48 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
6.0.337...016.2 $x^{6} + 67548 x^{4} + 1140683076 x^{2} + 4726634148600$ $-\,2^{9}\cdot 3^{9}\cdot 13^{3}\cdot 433^{5}$ $C_6$ (as 6T1) $[2, 2, 2, 2, 6663720]$ $231.17086978363568$
6.0.574...784.2 $x^{6} + 228228 x^{4} + 13022004996 x^{2} + 127606109030400$ $-\,2^{9}\cdot 3^{9}\cdot 7^{5}\cdot 11^{3}\cdot 13^{5}\cdot 19^{3}$ $C_6$ (as 6T1) $[2, 2, 2, 2, 2, 2, 6, 12, 24732]$ $465.90471699987006$
6.0.734...000.2 $x^{6} + 291970 x^{4} + 25109420000 x^{2} + 539852530000000$ $-\,2^{9}\cdot 5^{3}\cdot 7^{5}\cdot 43^{3}\cdot 97^{5}$ $C_6$ (as 6T1) $[2, 2, 2, 2, 2, 4, 12, 102492]$ $234.24453549640506$
6.0.768...048.1 $x^{6} - 2 x^{5} - 1983 x^{4} + 26682 x^{3} + 1135009 x^{2} - 30823564 x + 209406133$ $-\,2^{4}\cdot 13^{5}\cdot 59^{3}\cdot 229^{5}$ $S_3\times C_3$ (as 6T5) $[3, 6, 6024270]$ $113.64825055324778$
6.0.117...000.2 $x^{6} + 128940 x^{4} + 4156380900 x^{2} + 386981175000$ $-\,2^{9}\cdot 3^{9}\cdot 5^{3}\cdot 7^{3}\cdot 307^{5}$ $C_6$ (as 6T1) $[2, 2, 2, 2, 2, 24, 120, 2520]$ $62.77478718477308$
6.0.170...832.1 $x^{6} + 19682$ $-\,2^{11}\cdot 3^{2}\cdot 13^{5}\cdot 757^{5}$ $D_{6}$ (as 6T3) $[3, 3, 30, 399330]$ $198.7426691467948$
6.0.207...000.2 $x^{6} + 248030 x^{4} + 8433020000 x^{2} + 71680670000000$ $-\,2^{9}\cdot 5^{3}\cdot 17^{3}\cdot 1459^{5}$ $C_6$ (as 6T1) $[2, 2, 2, 2, 2, 2, 2, 2, 765180]$ $510.172836518355$
6.0.279...659.1 $x^{6} - 3 x^{5} + 7134 x^{4} - 7925 x^{3} + 318224841 x^{2} - 544180086 x + 2893779957135$ $-\,3^{8}\cdot 11^{3}\cdot 3169^{5}$ $C_6$ (as 6T1) $[3, 41997900]$ $128.98087448333303$
6.0.291...000.1 $x^{6} - 2 x^{5} - 2443 x^{4} + 36126 x^{3} + 1697957 x^{2} - 50693604 x + 378961281$ $-\,2^{4}\cdot 5^{3}\cdot 13^{3}\cdot 19^{5}\cdot 193^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 2, 6, 3425916]$ $119.4392479327466$
6.0.300...443.1 $x^{6} - 111169 x^{3} + 1373887262639809$ $-\,3^{9}\cdot 19^{4}\cdot 5851^{4}$ $C_6$ (as 6T1) $[3, 3, 3, 3, 3, 668163]$ $222.44656821055096$
6.0.453...936.1 $x^{6} + 80941 x^{4} + 1133174 x^{2} + 3966109$ $-\,2^{6}\cdot 7^{3}\cdot 31^{5}\cdot 373^{5}$ $C_6$ (as 6T1) $[6, 6, 3756564]$ $87.52201210842945$
6.0.512...616.1 $x^{6} + 987 x^{4} - 147294 x^{3} + 324723 x^{2} + 145379178 x + 5459491898$ $-\,2^{6}\cdot 3^{10}\cdot 7^{5}\cdot 47^{3}\cdot 167^{4}$ $D_{6}$ (as 6T3) $[2, 2, 2, 6, 2534076]$ $396.2536096922459$
6.0.596...496.2 $x^{6} + 40614 x^{4} + 412374249 x^{2} + 1240421747761$ $-\,2^{6}\cdot 3^{8}\cdot 7^{5}\cdot 967^{5}$ $C_6$ (as 6T1) $[3, 6, 6229512]$ $146.79575426426405$
6.0.608...656.1 $x^{6} - 2 x^{5} - 2207 x^{4} + 31166 x^{3} + 1395264 x^{2} - 39775060 x + 283793007$ $-\,2^{9}\cdot 31^{3}\cdot 3313^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 6, 6, 6, 202392]$ $116.59910139655341$
6.0.608...656.2 $x^{6} + 205406 x^{4} + 25470344 x^{2} + 789580664$ $-\,2^{9}\cdot 31^{3}\cdot 3313^{5}$ $C_6$ (as 6T1) $[3, 18, 3845448]$ $65.68712019315876$
6.0.687...224.2 $x^{6} + 121212 x^{4} - 41366 x^{3} + 5135520117 x^{2} + 5193129006 x + 75808192943535$ $-\,2^{9}\cdot 3^{8}\cdot 13^{5}\cdot 37^{5}\cdot 43^{3}$ $C_6$ (as 6T1) $[6, 6, 6, 18, 42984]$ $404.1480436211868$
6.0.802...387.1 $x^{6} - 3 x^{5} + 6 x^{4} + 492191 x^{3} - 738291 x^{2} - 738300 x + 60565210000$ $-\,3^{11}\cdot 7^{4}\cdot 11719^{4}$ $S_3$ (as 6T2) $[3, 3, 3, 2646, 2646]$ $401.69857739756185$
6.0.910...107.1 $x^{6} - 3 x^{5} + 6 x^{4} + 508067 x^{3} - 762105 x^{2} - 762114 x + 64535305444$ $-\,3^{11}\cdot 7^{4}\cdot 12097^{4}$ $S_3$ (as 6T2) $[3, 3, 3, 3186, 3186]$ $403.1693243634945$
6.0.975...824.1 $x^{6} - 2 x^{5} - 2951 x^{4} + 47570 x^{3} + 2448417 x^{2} - 79692364 x + 649889637$ $-\,2^{4}\cdot 43^{5}\cdot 71^{3}\cdot 103^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 6, 17872512]$ $124.8216089887036$
6.0.142...728.1 $x^{6} - 2 x^{5} - 3131 x^{4} - 43510 x^{3} + 2842025 x^{2} + 88134560 x + 709894109$ $-\,2^{4}\cdot 37^{5}\cdot 73^{3}\cdot 127^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 12, 1219608]$ $126.53548139856456$
6.0.194...000.1 $x^{6} + 4199305$ $-\,2^{6}\cdot 3^{6}\cdot 5^{5}\cdot 11^{3}\cdot 631^{5}$ $D_{6}$ (as 6T3) $[2, 6, 12, 72, 11592]$ $249.3804453040286$
6.0.205...584.2 $x^{6} - 2 x^{5} - 5107 x^{4} + 106146 x^{3} + 7126874 x^{2} - 298940820 x + 3145070997$ $-\,2^{6}\cdot 23^{3}\cdot 79^{5}\cdot 97^{5}$ $S_3\times C_3$ (as 6T5) $[6, 6, 4514796]$ $141.18969145424484$
6.0.206...616.1 $x^{6} + 4744468216$ $-\,2^{9}\cdot 3^{2}\cdot 71^{3}\cdot 1657^{5}$ $D_{6}$ (as 6T3) $[2, 2, 60, 537300]$ $304.54588634853565$
6.0.240...947.1 $x^{6} - 3 x^{5} + 6 x^{4} + 647535 x^{3} - 971307 x^{2} - 971316 x + 104828307984$ $-\,3^{7}\cdot 7^{4}\cdot 23^{4}\cdot 2011^{4}$ $S_3$ (as 6T2) $[3, 6, 6, 1740, 1740]$ $414.49526598954657$
6.0.269...787.1 $x^{6} - 3 x^{5} + 6 x^{4} + 666579 x^{3} - 999873 x^{2} - 999882 x + 111084890436$ $-\,3^{7}\cdot 23^{4}\cdot 43^{4}\cdot 337^{4}$ $S_3$ (as 6T2) $[3, 6, 6, 1596, 1596]$ $415.8592164000119$
6.0.321...000.2 $x^{6} + 300790 x^{4} + 42110600 x^{2} + 1473871000$ $-\,2^{9}\cdot 5^{3}\cdot 7^{3}\cdot 4297^{5}$ $C_6$ (as 6T1) $[2, 2, 2, 8, 2921256]$ $69.97348557355576$
6.0.339...336.1 $x^{6} + 5604956936$ $-\,2^{9}\cdot 3^{2}\cdot 73^{3}\cdot 1801^{5}$ $D_{6}$ (as 6T3) $[2, 2, 12, 84, 190008]$ $307.9172778904017$
6.0.417...384.1 $x^{6} + 76454 x^{4} + 305816 x^{2} + 305816$ $-\,2^{9}\cdot 7^{5}\cdot 43^{5}\cdot 127^{5}$ $C_6$ (as 6T1) $[2, 6, 12, 12, 71460]$ $111.32829807469801$
6.0.417...384.2 $x^{6} - 2 x^{5} - 25483 x^{4} + 1141146 x^{3} + 168888302 x^{2} - 15209667204 x + 343477239561$ $-\,2^{9}\cdot 7^{5}\cdot 43^{5}\cdot 127^{5}$ $S_3\times C_3$ (as 6T5) $[2, 6, 6, 6, 394380]$ $195.4668865094435$
6.0.436...672.1 $x^{6} - 3 x^{5} + 6 x^{4} + 751685 x^{3} - 1127532 x^{2} - 1127541 x + 141260967409$ $-\,2^{4}\cdot 3^{11}\cdot 37^{4}\cdot 1693^{4}$ $S_3$ (as 6T2) $[3, 3, 6, 18, 414, 414]$ $525.8997701337477$
6.0.446...544.1 $x^{6} - 19014 x^{4} - 6338 x^{3} + 93206628 x^{2} - 126100848 x + 3084920092$ $-\,2^{4}\cdot 3^{8}\cdot 11^{3}\cdot 3169^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 31806300]$ $226.17989535424894$
6.0.509...000.2 $x^{6} + 62664 x^{4} - 5222 x^{3} + 2106552189 x^{2} + 449943186 x + 30082049288711$ $-\,2^{9}\cdot 3^{8}\cdot 5^{3}\cdot 7^{5}\cdot 373^{5}$ $C_6$ (as 6T1) $[6, 6, 3690414]$ $124.61892717529618$
6.0.546...283.1 $x^{6} - 3518821 x^{3} + 209962800 x^{2} - 51164434980 x + 6212505323521$ $-\,3^{9}\cdot 19441^{5}$ $C_6$ (as 6T1) $[3, 3, 3, 63, 170352]$ $173.4744740447334$
6.0.580...064.1 $x^{6} + 7078104$ $-\,2^{9}\cdot 3^{11}\cdot 11^{5}\cdot 331^{5}$ $D_{6}$ (as 6T3) $[2, 2, 2, 6, 30, 354120]$ $215.7113905969459$
6.0.686...552.1 $x^{6} - 2 x^{5} - 3223 x^{4} + 54102 x^{3} + 2905604 x^{2} - 98480484 x + 836491923$ $-\,2^{9}\cdot 7^{5}\cdot 37^{3}\cdot 691^{5}$ $S_3\times C_3$ (as 6T5) $[3, 6, 6, 5636622]$ $127.3784631035808$
6.0.686...552.2 $x^{6} + 357938 x^{4} + 52974824 x^{2} + 1960068488$ $-\,2^{9}\cdot 7^{5}\cdot 37^{3}\cdot 691^{5}$ $C_6$ (as 6T1) $[2, 2, 6, 6, 1325898]$ $71.96919553594509$
6.0.107...248.1 $x^{6} + 257582 x^{4} + 13394264 x^{2} + 174125432$ $-\,2^{9}\cdot 13^{3}\cdot 9907^{5}$ $C_6$ (as 6T1) $[2, 193614282]$ $84.65307233079967$
6.0.124...376.1 $x^{6} + 98436 x^{4} + 2422411524 x^{2} + 31762016$ $-\,2^{9}\cdot 3^{8}\cdot 13^{5}\cdot 631^{5}$ $C_6$ (as 6T1) $[6, 42, 42, 50778]$ $402.7334642476355$
6.0.134...976.1 $x^{6} - 99906 x^{4} - 33302 x^{3} + 2529020484 x^{2} - 3394206444 x + 189942552676$ $-\,2^{4}\cdot 3^{8}\cdot 16651^{5}$ $S_3\times C_3$ (as 6T5) $[7, 21, 1091265]$ $296.7133823461917$
6.0.143...344.1 $x^{6} + 858 x^{4} - 952146 x^{3} + 245388 x^{2} + 816941268 x + 226668894985$ $-\,2^{9}\cdot 3^{10}\cdot 11^{3}\cdot 13^{5}\cdot 313^{4}$ $D_{6}$ (as 6T3) $[2, 2, 6, 24, 398160]$ $469.7021540728667$
6.0.156...024.1 $x^{6} - 51522 x^{4} - 17174 x^{3} + 676148967 x^{2} - 909723954 x + 36581607505$ $-\,2^{9}\cdot 3^{8}\cdot 31^{5}\cdot 277^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 3, 6, 4910490]$ $267.3867621151466$
6.0.156...024.2 $x^{6} + 103044 x^{4} + 2654516484 x^{2} + 20259269874584$ $-\,2^{9}\cdot 3^{8}\cdot 31^{5}\cdot 277^{5}$ $C_6$ (as 6T1) $[3, 3, 3, 18, 1174770]$ $152.61709493398175$
6.0.291...000.1 $x^{6} - 35646 x^{4} - 11882 x^{3} + 324877644 x^{2} - 437875464 x + 14652383356$ $-\,2^{4}\cdot 3^{9}\cdot 5^{3}\cdot 13^{5}\cdot 457^{5}$ $S_3\times C_3$ (as 6T5) $[2, 2, 6, 6, 2196726]$ $251.74700543311155$
6.0.401...904.1 $x^{6} - 26682 x^{4} - 8894 x^{3} + 182664972 x^{2} - 246595044 x + 7142148820$ $-\,2^{4}\cdot 3^{8}\cdot 13^{3}\cdot 4447^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 6, 6, 824460]$ $239.78861937438103$
6.0.874...528.1 $x^{6} + 116646 x^{4} - 1049814 x^{3} + 3444089796 x^{2} - 61735362084 x + 277039149132$ $-\,2^{4}\cdot 3^{9}\cdot 19441^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3, 6, 18, 376272]$ $303.7979908457457$
6.0.134...712.1 $x^{6} + 96306 x^{4} + 2318711409 x^{2} + 262765913088$ $-\,2^{6}\cdot 3^{9}\cdot 7^{5}\cdot 2293^{5}$ $C_6$ (as 6T1) $[2, 2, 2, 6, 12, 72, 5688]$ $2174.4517592829798$
6.0.399...296.2 $x^{6} + 158052 x^{4} + 6245108676 x^{2} + 62666480025600$ $-\,2^{9}\cdot 3^{9}\cdot 13171^{5}$ $C_6$ (as 6T1) $[6, 12, 12, 237720]$ $39433.47174254633$
6.0.424...632.1 $x^{6} - 31002 x^{4} - 10334 x^{3} + 246140379 x^{2} - 332000418 x + 10362640681$ $-\,2^{9}\cdot 3^{8}\cdot 7^{3}\cdot 5167^{5}$ $S_3\times C_3$ (as 6T5) $[78, 11780964]$ $245.94679937588708$
6.2.118...696.1 $x^{6} - 22164510006$ $2^{11}\cdot 3^{10}\cdot 53^{3}\cdot 919^{5}$ $D_{6}$ (as 6T3) $[6, 6, 24, 918720]$ $3592.674207571803$
6.0.148...792.1 $x^{6} + 282225732$ $-\,2^{8}\cdot 3^{11}\cdot 23^{3}\cdot 1933^{5}$ $D_{6}$ (as 6T3) $[2, 2, 6, 6, 36, 72, 432]$ $5280.230714786872$
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