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Results (1-50 of 277 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
9.3.1735643790720.1 $x^{9} - 9 x^{6} + 9 x^{5} - 6 x^{3} + 9 x^{2} - 2$ $-\,2^{7}\cdot 3^{18}\cdot 5\cdot 7$ $S_9$ (as 9T34) trivial $2668.08259889$
9.1.2539579392000.1 $x^{9} - 3 x^{8} + 12 x^{7} - 20 x^{6} + 69 x^{5} - 99 x^{4} + 132 x^{3} - 72 x^{2} - 6 x + 10$ $2^{14}\cdot 3^{11}\cdot 5^{3}\cdot 7$ $S_9$ (as 9T34) trivial $4771.43994028$
9.3.34284321792000.1 $x^{9} - 3 x^{8} - 6 x^{7} + 18 x^{6} - 36 x^{5} + 108 x^{4} - 174 x^{3} + 162 x^{2} - 81 x + 27$ $-\,2^{13}\cdot 3^{14}\cdot 5^{3}\cdot 7$ $S_9$ (as 9T34) trivial $30622.6091651$
9.1.49601160000000.1 $x^{9} - 3 x^{8} - 9 x^{7} + 15 x^{6} + 150 x^{5} - 450 x^{4} + 300 x^{3} + 150 x^{2} - 100$ $2^{9}\cdot 3^{11}\cdot 5^{7}\cdot 7$ $S_9$ (as 9T34) trivial $20551.4087704$
9.1.4601270257436160.1 $x^{9} - 3 x^{8} - 18 x^{7} + 76 x^{6} + 93 x^{5} - 495 x^{4} + 580 x^{3} + 1458 x^{2} - 1836 x + 4464$ $2^{9}\cdot 3^{13}\cdot 5\cdot 7\cdot 11^{5}$ $S_9$ (as 9T34) $[2]$ $809340.014581$
10.0.967207171.1 $x^{10} - x^{9} + 3 x^{8} - 5 x^{7} + 4 x^{6} - 6 x^{5} + 4 x^{4} - 2 x^{3} + 2 x^{2} + 1$ $-\,7\cdot 138172453$ $S_{10}$ (as 10T45) trivial $1.5806033993933515$
10.0.982312667.1 $x^{10} - 2 x^{9} + 4 x^{8} - 5 x^{7} + 6 x^{6} - 6 x^{5} + 6 x^{4} - 2 x^{3} + 4 x^{2} + 1$ $-\,7\cdot 37\cdot 919\cdot 4127$ $S_{10}$ (as 10T45) trivial $1.5903363598658462$
10.0.1043341075.1 $x^{10} - x^{9} - 2 x^{8} + 3 x^{7} + x^{6} - 3 x^{5} + x^{4} + x^{3} - x^{2} + 1$ $-\,5^{2}\cdot 7^{2}\cdot 103\cdot 8269$ $S_{10}$ (as 10T45) trivial $1.7451315137213996$
10.0.1124443327.1 $x^{10} - 2 x^{8} - 2 x^{7} + 3 x^{6} + 3 x^{5} - 2 x^{4} - 3 x^{3} + 2 x + 1$ $-\,7^{2}\cdot 41\cdot 559703$ $S_{10}$ (as 10T45) trivial $1.8961874789343884$
10.0.1251659171.1 $x^{10} - 2 x^{9} + 2 x^{8} - 3 x^{7} + 5 x^{6} - 7 x^{5} + 9 x^{4} - 9 x^{3} + 7 x^{2} - 3 x + 1$ $-\,7\cdot 2557\cdot 69929$ $S_{10}$ (as 10T45) trivial $1.862286315789937$
10.0.1356935111.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 2 x^{6} - x^{5} + 3 x^{4} - x^{3} + 3 x^{2} + 1$ $-\,7\cdot 193847873$ $S_{10}$ (as 10T45) trivial $1.9458344406203736$
10.0.1530842075.1 $x^{10} - 3 x^{9} + 3 x^{8} - 2 x^{6} + x^{5} + 2 x^{4} - x^{3} - 2 x^{2} + x + 1$ $-\,5^{2}\cdot 7^{2}\cdot 113\cdot 11059$ $S_{10}$ (as 10T45) trivial $2.2260190986113035$
10.0.1629148619.1 $x^{10} - 2 x^{9} + 2 x^{8} + 2 x^{7} - 4 x^{6} + 2 x^{5} + 3 x^{4} - 3 x^{3} - x^{2} + 2 x + 1$ $-\,7^{2}\cdot 131\cdot 253801$ $S_{10}$ (as 10T45) trivial $2.6327878761467134$
10.0.1643385856.1 $x^{10} + 2 x^{8} - x^{6} - x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$ $-\,2^{10}\cdot 7\cdot 229267$ $S_{10}$ (as 10T45) trivial $2.207424481131454$
10.0.1682646476.1 $x^{10} + x^{8} - 2 x^{7} + x^{6} - 4 x^{5} + x^{4} - x^{3} + 3 x^{2} + x + 1$ $-\,2^{2}\cdot 7^{2}\cdot 107\cdot 80233$ $S_{10}$ (as 10T45) trivial $3.4025958128665508$
10.0.1795570847.1 $x^{10} - x^{9} + x^{7} - 3 x^{6} + 2 x^{5} + x^{4} - 3 x^{3} + 4 x^{2} - 2 x + 1$ $-\,7^{2}\cdot 36644303$ $S_{10}$ (as 10T45) trivial $2.319085795000898$
10.2.1880601821.1 $x^{10} - x^{8} - 3 x^{7} - 2 x^{6} + 5 x^{5} + 5 x^{4} - x^{3} - 4 x^{2} - 2 x + 1$ $7^{2}\cdot 787\cdot 48767$ $S_{10}$ (as 10T45) trivial $2.9040871366804035$
10.0.1887157027.1 $x^{10} - x^{9} + 2 x^{8} + x^{6} + 4 x^{5} - x^{4} + 2 x^{3} + 2 x^{2} + 1$ $-\,7\cdot 491\cdot 549071$ $S_{10}$ (as 10T45) trivial $2.6176689193502063$
10.0.1888076939.1 $x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 2 x^{6} - 3 x^{5} + 2 x^{4} + x^{2} + 1$ $-\,7\cdot 269725277$ $S_{10}$ (as 10T45) trivial $2.366722441324865$
10.0.1896111791.1 $x^{10} - x^{9} - x^{7} + x^{4} - x^{3} + x^{2} + 1$ $-\,7^{2}\cdot 1009\cdot 38351$ $S_{10}$ (as 10T45) trivial $2.6371305758655095$
10.0.1937783792.1 $x^{10} - x^{9} + 2 x^{8} - x^{7} + 2 x^{6} + x^{5} - 3 x^{4} + 3 x^{3} + x^{2} - 2 x + 1$ $-\,2^{4}\cdot 7^{2}\cdot 2471663$ $S_{10}$ (as 10T45) trivial $3.736915932380488$
10.0.1979862311.1 $x^{10} - 2 x^{9} + 4 x^{8} - 7 x^{7} + 11 x^{6} - 14 x^{5} + 15 x^{4} - 12 x^{3} + 8 x^{2} - 4 x + 1$ $-\,7\cdot 6067\cdot 46619$ $S_{10}$ (as 10T45) trivial $2.4962023747862796$
10.2.2012250709.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 4 x^{6} - 7 x^{5} + 10 x^{4} - 10 x^{3} + 7 x^{2} - 4 x + 1$ $7^{2}\cdot 229\cdot 389\cdot 461$ $S_{10}$ (as 10T45) trivial $3.023454261905246$
10.0.2038643719.1 $x^{10} - x^{9} + x^{8} + 2 x^{6} - 3 x^{5} + x^{4} + 2 x^{3} - 2 x^{2} - x + 1$ $-\,7\cdot 1039\cdot 280303$ $S_{10}$ (as 10T45) trivial $2.4500672259303453$
10.0.2103848971.1 $x^{10} - 3 x^{9} + 5 x^{8} - 2 x^{7} - 5 x^{6} + 10 x^{5} - 5 x^{4} - 4 x^{3} + 7 x^{2} - 4 x + 1$ $-\,7\cdot 37\cdot 8122969$ $S_{10}$ (as 10T45) trivial $2.79100635005592$
10.0.2106354859.1 $x^{10} - 2 x^{9} + 3 x^{8} - x^{7} + x^{6} + 2 x^{4} + 2 x^{3} - x^{2} + x + 1$ $-\,7\cdot 17\cdot 17700461$ $S_{10}$ (as 10T45) trivial $2.5083331524589254$
10.0.2113889743.1 $x^{10} - x^{9} + 2 x^{8} - x^{7} + x^{6} + x^{5} + 2 x^{4} - x^{3} + 4 x^{2} - x + 1$ $-\,7^{2}\cdot 43140607$ $S_{10}$ (as 10T45) trivial $3.9334919938181208$
10.0.2288851495.1 $x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} + 2 x^{6} - 2 x^{5} + 2 x^{4} + 3 x^{2} + x + 1$ $-\,5\cdot 7^{2}\cdot 71\cdot 131581$ $S_{10}$ (as 10T45) trivial $2.889132135359783$
10.2.2321314093.1 $x^{10} - x^{9} - x^{8} + x^{7} - 2 x^{5} + x^{4} + 4 x^{3} - 6 x^{2} + 3 x - 1$ $7^{2}\cdot 67\cdot 707071$ $S_{10}$ (as 10T45) trivial $3.3452778793411566$
10.0.2340363151.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 4 x^{6} - 3 x^{5} + 4 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$ $-\,7\cdot 334337593$ $S_{10}$ (as 10T45) trivial $3.0721720552172926$
10.0.2343232031.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 2 x^{5} - 2 x^{4} + x^{3} + 2 x^{2} - 3 x + 1$ $-\,7\cdot 334747433$ $S_{10}$ (as 10T45) trivial $2.9758353398185617$
10.0.2343831427.1 $x^{10} + x^{4} - x^{3} + x^{2} - 2 x + 1$ $-\,7\cdot 14551\cdot 23011$ $S_{10}$ (as 10T45) trivial $2.790114747473003$
10.2.2382678361.1 $x^{10} - x^{8} - x^{7} - x^{6} - 2 x^{5} + x^{4} + x^{3} + 3 x^{2} - x + 1$ $7^{2}\cdot 59^{2}\cdot 61\cdot 229$ $S_{10}$ (as 10T45) trivial $3.3679241488840796$
10.0.2433240775.1 $x^{10} - 2 x^{9} + x^{8} - x^{7} + 3 x^{6} - 2 x^{5} + 2 x^{4} - 3 x^{3} + x^{2} + 1$ $-\,5^{2}\cdot 7^{2}\cdot 149\cdot 13331$ $S_{10}$ (as 10T45) trivial $2.7720515809380517$
10.0.2448037907.1 $x^{10} - 3 x^{9} + 4 x^{8} - 4 x^{7} + 3 x^{6} - 2 x^{5} + x^{4} + 2 x^{2} - 2 x + 1$ $-\,7\cdot 1747\cdot 200183$ $S_{10}$ (as 10T45) trivial $2.8867919689831445$
10.0.2481749207.1 $x^{10} - x^{9} + 3 x^{6} + 2 x^{5} - 4 x^{4} + 3 x^{3} + 2 x^{2} - 2 x + 1$ $-\,7^{2}\cdot 5647\cdot 8969$ $S_{10}$ (as 10T45) trivial $3.012524122141729$
10.2.2520749581.1 $x^{10} - 2 x^{9} + 2 x^{8} + x^{7} - 5 x^{6} + 9 x^{5} - 12 x^{4} + 13 x^{3} - 9 x^{2} + 4 x - 1$ $7^{2}\cdot 89\cdot 578021$ $S_{10}$ (as 10T45) trivial $3.501152300011273$
10.0.2539968116.1 $x^{10} - x^{9} + x^{7} + 2 x^{6} - x^{5} + 2 x^{4} + x^{3} + 2 x + 1$ $-\,2^{2}\cdot 7^{2}\cdot 12959021$ $S_{10}$ (as 10T45) trivial $4.430255609579125$
10.0.2632784896.1 $x^{10} - 2 x^{9} + 4 x^{8} - 4 x^{7} + 5 x^{6} - 2 x^{5} + 2 x^{4} + 2 x^{2} + 1$ $-\,2^{10}\cdot 7^{2}\cdot 137\cdot 383$ $S_{10}$ (as 10T45) trivial $2.735966583753177$
10.0.2639232512.1 $x^{10} - 2 x^{9} + 5 x^{8} - 7 x^{7} + 11 x^{6} - 11 x^{5} + 12 x^{4} - 8 x^{3} + 6 x^{2} - 3 x + 1$ $-\,2^{9}\cdot 7^{2}\cdot 105199$ $S_{10}$ (as 10T45) trivial $3.1189598080516134$
10.0.2659086731.1 $x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{7} + 7 x^{6} - 6 x^{5} + 8 x^{4} - 4 x^{3} + 3 x^{2} - x + 1$ $-\,7\cdot 89\cdot 4268197$ $S_{10}$ (as 10T45) trivial $3.158767087689419$
10.0.2673672491.1 $x^{10} - x^{9} - 3 x^{8} + 4 x^{7} + 3 x^{6} - 6 x^{5} + 5 x^{3} - x^{2} - 2 x + 1$ $-\,7\cdot 381953213$ $S_{10}$ (as 10T45) trivial $2.899024222928879$
10.2.2718826397.1 $x^{10} - 5 x^{9} + 13 x^{8} - 22 x^{7} + 26 x^{6} - 21 x^{5} + 9 x^{4} + 2 x^{3} - 5 x^{2} + 2 x + 1$ $7^{2}\cdot 701\cdot 79153$ $S_{10}$ (as 10T45) trivial $3.6338410007529722$
10.2.2730344813.1 $x^{10} - x^{9} - x^{8} + 4 x^{7} - 2 x^{6} - 4 x^{5} + 5 x^{4} - 4 x^{2} + 2 x + 1$ $7\cdot 43\cdot 9070913$ $S_{10}$ (as 10T45) trivial $3.797559387951539$
10.0.2792932352.1 $x^{10} - 2 x^{9} + 2 x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} + 7 x^{4} - 8 x^{3} + 8 x^{2} - 4 x + 1$ $-\,2^{10}\cdot 7\cdot 31\cdot 12569$ $S_{10}$ (as 10T45) trivial $2.9078799769647667$
10.0.2851952747.1 $x^{10} - x^{9} + 3 x^{7} - 3 x^{6} + 2 x^{5} + 2 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$ $-\,7\cdot 743\cdot 548347$ $S_{10}$ (as 10T45) trivial $3.8685723465985973$
10.0.2916205859.1 $x^{10} + x^{8} - 2 x^{7} + x^{6} - x^{5} + 4 x^{4} - 4 x^{3} + 2 x^{2} + 1$ $-\,7\cdot 541\cdot 770057$ $S_{10}$ (as 10T45) trivial $3.872406103726067$
10.0.3076447367.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 2 x^{6} - 2 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$ $-\,7\cdot 13177\cdot 33353$ $S_{10}$ (as 10T45) trivial $3.9723686137482477$
10.0.3099649987.1 $x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{5} + 5 x^{4} - 2 x^{3} + 4 x^{2} + 1$ $-\,7^{2}\cdot 19\cdot 3329377$ $S_{10}$ (as 10T45) trivial $3.253720102572806$
10.2.3113754889.1 $x^{10} - 2 x^{9} + x^{8} - 2 x^{7} + 3 x^{6} + x^{5} - 3 x^{4} + 2 x^{2} - x - 1$ $7\cdot 113\cdot 461\cdot 8539$ $S_{10}$ (as 10T45) trivial $4.122715679137963$
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