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Label Polynomial Discriminant Galois group Class group Regulator
10.6.14002335917.1 $x^{10} - x^{9} - x^{8} + 4 x^{7} - 4 x^{6} + 8 x^{4} - 3 x^{3} - 5 x^{2} + x + 1$ $43\cdot 325635719$ $S_{10}$ (as 10T45) trivial $15.438616452130885$
10.6.14339628125.1 $x^{10} - 2 x^{8} - 4 x^{7} - 4 x^{6} + 6 x^{5} + 9 x^{4} + 3 x^{3} - 4 x^{2} - 5 x + 1$ $5^{5}\cdot 4588681$ $S_5^2 \wr C_2$ (as 10T43) trivial $15.6698941628$
10.6.14478216461.1 $x^{10} - 2 x^{9} - x^{8} + 4 x^{7} - 3 x^{6} - 4 x^{5} + 7 x^{4} + 4 x^{3} - 5 x^{2} - x + 1$ $67\cdot 216092783$ $S_{10}$ (as 10T45) trivial $15.745494863913324$
10.6.14517675917.1 $x^{10} - 4 x^{8} - 2 x^{7} + 4 x^{6} + 6 x^{5} - 4 x^{4} - 7 x^{3} + 2 x^{2} + 4 x + 1$ $14517675917$ $S_{10}$ (as 10T45) trivial $15.79211635335424$
10.6.14791763533.1 $x^{10} - 2 x^{9} + x^{8} + 4 x^{7} - 8 x^{6} + 6 x^{5} - 9 x^{3} + 6 x^{2} + x - 1$ $127\cdot 4831\cdot 24109$ $S_{10}$ (as 10T45) trivial $15.972911200901942$
10.6.14805034037.1 $x^{10} - x^{9} - 5 x^{8} + 7 x^{7} + 5 x^{6} - 15 x^{5} + 5 x^{4} + 11 x^{3} - 7 x^{2} - x + 1$ $131\cdot 431\cdot 262217$ $S_{10}$ (as 10T45) trivial $15.96404379072841$
10.6.15051339509.1 $x^{10} - 2 x^{8} - 4 x^{7} - 2 x^{6} + 8 x^{5} + 2 x^{4} - x^{3} + x^{2} - 3 x + 1$ $73^{2}\cdot 2824421$ $S_{10}$ (as 10T45) trivial $16.149972868485314$
10.6.15170413373.1 $x^{10} - x^{9} - 2 x^{8} + 4 x^{7} - 2 x^{6} - 8 x^{5} + 7 x^{4} + 8 x^{3} - 5 x^{2} - 2 x + 1$ $43\cdot 5867\cdot 60133$ $S_{10}$ (as 10T45) trivial $16.23109215080111$
10.6.15248763469.1 $x^{10} - x^{9} - 3 x^{8} + 3 x^{7} + x^{5} + 5 x^{4} - 6 x^{3} - 4 x^{2} + 2 x + 1$ $61\cdot 89\cdot 2808761$ $S_{10}$ (as 10T45) trivial $16.271570130171053$
10.6.15279193421.1 $x^{10} - 4 x^{8} - 2 x^{7} + x^{6} + 7 x^{4} + 4 x^{3} - 6 x^{2} - x + 1$ $67\cdot 228047663$ $S_{10}$ (as 10T45) trivial $16.271163276318262$
10.6.15310032229.1 $x^{10} - 5 x^{8} - 2 x^{7} + 9 x^{6} + 4 x^{5} - 6 x^{4} + 2 x^{3} + x^{2} - 4 x - 1$ $15310032229$ $S_{10}$ (as 10T45) trivial $16.295083478694462$
10.6.15370981037.1 $x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} - 3 x^{6} - 5 x^{5} + 10 x^{4} + 2 x^{3} - 8 x^{2} - x + 1$ $81701\cdot 188137$ $S_{10}$ (as 10T45) trivial $16.355905786205344$
10.6.15414254509.1 $x^{10} - x^{9} - 5 x^{8} + 8 x^{7} + x^{6} - 9 x^{5} + 5 x^{4} + x^{3} - 3 x^{2} + 2 x + 1$ $59\cdot 261258551$ $S_{10}$ (as 10T45) trivial $16.379014933225417$
10.6.15417264029.1 $x^{10} - x^{9} - 3 x^{8} + 5 x^{7} + x^{6} - 7 x^{5} - x^{4} + 5 x^{3} + 3 x^{2} - x - 1$ $461\cdot 5783^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $16.3804047258$
10.6.15485789357.1 $x^{10} - x^{9} - 2 x^{8} - 3 x^{6} + 5 x^{5} + 7 x^{4} - x^{3} - 2 x^{2} - 2 x - 1$ $157\cdot 2531\cdot 38971$ $S_{10}$ (as 10T45) trivial $16.445112098137393$
10.6.15570809981.1 $x^{10} - 3 x^{9} + 6 x^{7} - 3 x^{6} + x^{5} - 5 x^{4} - 3 x^{3} + 8 x^{2} - 1$ $127\cdot 6133\cdot 19991$ $S_{10}$ (as 10T45) trivial $16.48836421006622$
10.6.15625169689.1 $x^{10} - x^{9} - 3 x^{8} - x^{7} + 5 x^{6} + 6 x^{5} - x^{4} - 7 x^{3} - x^{2} + 4 x - 1$ $241\cdot 64834729$ $S_{10}$ (as 10T45) trivial $16.52174385951856$
10.6.15632169373.1 $x^{10} - x^{9} - 3 x^{8} + 3 x^{7} + 2 x^{5} - 3 x^{4} - 2 x^{3} + 6 x^{2} - x - 1$ $63727\cdot 245299$ $S_{10}$ (as 10T45) trivial $16.520324934712065$
10.6.15655427257.1 $x^{10} - x^{9} - 2 x^{8} - 3 x^{7} + 3 x^{6} + 7 x^{5} + 3 x^{4} - 3 x^{3} - 6 x^{2} - x + 1$ $109\cdot 1447\cdot 99259$ $S_{10}$ (as 10T45) trivial $16.542718324065856$
10.6.15671976301.1 $x^{10} - 2 x^{8} - x^{7} - x^{6} + 3 x^{5} - 2 x^{4} - 3 x^{3} + 5 x^{2} - 1$ $149\cdot 641\cdot 164089$ $S_{10}$ (as 10T45) trivial $16.539123502629877$
10.6.15692318461.1 $x^{10} - 3 x^{9} + 3 x^{8} - x^{7} - 6 x^{6} + 12 x^{5} - 4 x^{4} - 3 x^{3} + 5 x^{2} - 4 x + 1$ $157\cdot 2833\cdot 35281$ $S_{10}$ (as 10T45) trivial $16.54195928877168$
10.6.15844129541.1 $x^{10} - 2 x^{9} + x^{8} - x^{7} + 4 x^{5} - 7 x^{4} + x^{3} + 6 x^{2} - x - 1$ $83\cdot 190893127$ $S_{10}$ (as 10T45) trivial $16.642578352523607$
10.6.16034047037.1 $x^{10} - x^{9} - 3 x^{8} - 2 x^{7} + 3 x^{6} + 6 x^{5} - x^{4} - x^{2} - 2 x + 1$ $16034047037$ $S_{10}$ (as 10T45) trivial $16.810535092627$
10.6.16085091221.1 $x^{10} - x^{9} - 3 x^{8} + 4 x^{7} - 2 x^{6} - 6 x^{5} + 8 x^{4} - x^{3} - 3 x^{2} + 5 x - 1$ $16085091221$ $S_{10}$ (as 10T45) trivial $16.854642300200467$
10.6.16178522257.1 $x^{10} - 3 x^{9} - 2 x^{8} + 14 x^{7} - 7 x^{6} - 19 x^{5} + 19 x^{4} + 2 x^{3} - 11 x^{2} + 6 x - 1$ $673\cdot 4903^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $16.8457163418$
10.6.16247003125.1 $x^{10} - x^{9} - x^{8} + 4 x^{7} - 4 x^{6} - 5 x^{5} + 2 x^{4} + x^{3} + 4 x^{2} + x - 1$ $5^{5}\cdot 31\cdot 167711$ $S_5^2 \wr C_2$ (as 10T43) trivial $16.9079992311$
10.6.16247108237.1 $x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} - x^{6} + 7 x^{5} - 13 x^{4} + 5 x^{3} + 6 x^{2} - 5 x + 1$ $131\cdot 124023727$ $S_{10}$ (as 10T45) trivial $16.888432299626885$
10.6.16288734493.1 $x^{10} - x^{9} - 2 x^{8} + 2 x^{7} - x^{6} - 4 x^{5} + 6 x^{4} + 8 x^{3} - 4 x^{2} - 5 x - 1$ $47\cdot 7321\cdot 47339$ $S_{10}$ (as 10T45) trivial $16.997659214812096$
10.6.16296015389.1 $x^{10} - 3 x^{9} + 5 x^{7} - 5 x^{6} + 5 x^{5} + 5 x^{4} - 10 x^{3} - 3 x^{2} + 3 x + 1$ $457\cdot 35658677$ $S_{10}$ (as 10T45) trivial $16.934980785500482$
10.6.16297628125.1 $x^{10} - 3 x^{8} - 2 x^{7} - x^{6} + x^{5} + 4 x^{4} + 5 x^{3} - 2 x^{2} - 3 x + 1$ $5^{5}\cdot 41\cdot 131\cdot 971$ $S_5^2 \wr C_2$ (as 10T43) trivial $16.9428799506$
10.6.16329970477.1 $x^{10} - 2 x^{9} - x^{8} + 3 x^{7} - 3 x^{5} + 2 x^{4} + 6 x^{3} - 4 x^{2} - 4 x + 1$ $16329970477$ $S_{10}$ (as 10T45) trivial $16.93954676183148$
10.6.16377200813.1 $x^{10} - 3 x^{9} + 3 x^{8} - x^{7} - 4 x^{6} + 6 x^{5} - 2 x^{4} - 2 x^{3} + 4 x^{2} - 1$ $37\cdot 442627049$ $S_{10}$ (as 10T45) trivial $16.993848319416117$
10.6.16454730077.1 $x^{10} - 3 x^{9} - x^{8} + 11 x^{7} - 9 x^{6} - 9 x^{5} + 15 x^{4} + x^{3} - 7 x^{2} + x + 1$ $239\cdot 523\cdot 131641$ $S_{10}$ (as 10T45) trivial $17.105070205191314$
10.6.16469469197.1 $x^{10} - 6 x^{8} - x^{7} + 13 x^{6} + 7 x^{5} - 10 x^{4} - 11 x^{3} + x^{2} + 4 x + 1$ $12601\cdot 1306997$ $S_{10}$ (as 10T45) trivial $17.016375477462766$
10.6.16513512157.1 $x^{10} - 2 x^{9} - x^{8} - x^{7} + 5 x^{6} + 6 x^{5} - 10 x^{4} - 2 x^{3} + 6 x^{2} - 1$ $16513512157$ $S_{10}$ (as 10T45) trivial $17.09581602002461$
10.6.16596688733.1 $x^{10} - x^{9} - 4 x^{8} + 4 x^{7} + 5 x^{6} - 6 x^{5} - 4 x^{4} + 4 x^{3} + 4 x^{2} - x - 1$ $16596688733$ $S_{10}$ (as 10T45) trivial $17.131441218380356$
10.6.16656903125.1 $x^{10} - 6 x^{8} - 2 x^{7} + 12 x^{6} + 8 x^{5} - 8 x^{4} - 9 x^{3} - x^{2} + 3 x + 1$ $5^{5}\cdot 79\cdot 109\cdot 619$ $S_5^2 \wr C_2$ (as 10T43) trivial $17.2171230452$
10.6.16780434029.1 $x^{10} - 2 x^{9} - 2 x^{8} + 5 x^{7} - x^{6} - 7 x^{5} + x^{4} + 7 x^{3} - x^{2} - 3 x + 1$ $1657\cdot 2239\cdot 4523$ $S_{10}$ (as 10T45) trivial $17.28308996217503$
10.6.16798253125.1 $x^{10} - 4 x^{9} + 2 x^{8} + 9 x^{7} - 10 x^{6} - 6 x^{5} + 12 x^{4} + 3 x^{3} - 6 x^{2} - x + 1$ $5^{5}\cdot 5375441$ $S_5^2 \wr C_2$ (as 10T43) trivial $17.3107279491$
10.6.16822229077.1 $x^{10} - x^{9} - x^{8} + x^{6} + x^{5} - 7 x^{4} + x^{3} + 6 x^{2} - x - 1$ $659\cdot 859\cdot 29717$ $S_{10}$ (as 10T45) trivial $17.254920196708802$
10.6.16851625709.1 $x^{10} - x^{9} - 2 x^{8} - 6 x^{6} + 9 x^{4} + 2 x^{3} - 3 x^{2} - 2 x + 1$ $701\cdot 4903^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $17.2916815204$
10.6.16898485501.1 $x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 7 x^{6} + 5 x^{5} - x^{4} - 5 x^{3} + 5 x^{2} + 2 x - 1$ $82051\cdot 205951$ $S_{10}$ (as 10T45) trivial $17.332115444636045$
10.6.16964142281.1 $x^{10} - 2 x^{9} - x^{8} + 3 x^{7} - 5 x^{6} + 8 x^{5} + x^{4} - 5 x^{3} + 3 x^{2} - 3 x + 1$ $271\cdot 62598311$ $S_{10}$ (as 10T45) trivial $17.335184482310037$
10.6.16965864077.1 $x^{10} - x^{9} - 4 x^{8} + 4 x^{7} + x^{6} - x^{5} + 11 x^{4} - 9 x^{3} - 9 x^{2} + 7 x - 1$ $557\cdot 5519^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $17.3268989746$
10.6.16987351657.1 $x^{10} - x^{9} - 6 x^{8} + 7 x^{7} + 12 x^{6} - 16 x^{5} - 12 x^{4} + 18 x^{3} + 4 x^{2} - 7 x + 1$ $53^{2}\cdot 139^{2}\cdot 313$ $C_2 \wr S_5$ (as 10T39) trivial $17.3555635238$
10.6.17007429581.1 $x^{10} - 2 x^{9} + x^{8} - 5 x^{7} + 7 x^{6} + 3 x^{5} - 7 x^{4} + 7 x^{3} - 4 x^{2} - 3 x + 1$ $29\cdot 61^{2}\cdot 397^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $17.3710776602$
10.6.17094519053.1 $x^{10} - x^{9} + 4 x^{7} - 3 x^{6} - 6 x^{5} - 3 x^{4} + 4 x^{3} + 6 x^{2} - 2 x - 1$ $17094519053$ $S_{10}$ (as 10T45) trivial $17.428459954686193$
10.6.17114203661.1 $x^{10} - 2 x^{9} - 3 x^{8} + 8 x^{7} + 5 x^{6} - 15 x^{5} - 6 x^{4} + 13 x^{3} + 4 x^{2} - 3 x - 1$ $101\cdot 3041\cdot 55721$ $S_{10}$ (as 10T45) trivial $17.47101630625641$
10.6.17177053693.1 $x^{10} - 2 x^{9} - 4 x^{8} + 10 x^{7} + 3 x^{6} - 14 x^{5} + 3 x^{4} + 2 x^{3} - 2 x^{2} + 3 x - 1$ $1109\cdot 15488777$ $S_{10}$ (as 10T45) trivial $17.4857728392283$
10.6.17186031773.1 $x^{10} - 2 x^{9} - 3 x^{8} + 10 x^{7} - 4 x^{6} - 13 x^{5} + 16 x^{4} - 8 x^{2} + 5 x - 1$ $17186031773$ $S_{10}$ (as 10T45) trivial $17.506932058410047$
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