Learn more

Refine search


Results (1-50 of 3253 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
8.0.1262025625.2 $x^{8} - 2 x^{7} - 4 x^{5} + 12 x^{4} + 2 x^{3} - 14 x^{2} - 5 x + 11$ $5^{4}\cdot 7^{4}\cdot 29^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $10.0993049246$
8.0.1480325625.1 $x^{8} - 3 x^{7} + x^{6} + 7 x^{5} - 3 x^{4} - 5 x^{3} + 11 x^{2} + 15 x + 5$ $3^{8}\cdot 5^{4}\cdot 19^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $11.382202356$
8.0.2338399449.1 $x^{8} - 3 x^{7} - 3 x^{6} + 17 x^{5} - 3 x^{4} - 27 x^{3} + 10 x^{2} + 9 x + 3$ $3^{10}\cdot 199^{2}$ $C_2^4:C_6$ (as 8T33) trivial $165.971116215$
8.4.2522550625.1 $x^{8} - 3 x^{7} - x^{6} + 9 x^{5} - 11 x^{4} + 11 x^{3} - 13 x^{2} + 21 x - 9$ $5^{4}\cdot 7^{4}\cdot 41^{2}$ $C_2^4:C_6$ (as 8T33) trivial $62.2273770026$
8.4.6146560000.1 $x^{8} - 4 x^{7} + 6 x^{6} - 8 x^{4} - 4 x^{3} - 2 x^{2} + 8 x - 1$ $2^{12}\cdot 5^{4}\cdot 7^{4}$ $C_2^4:C_6$ (as 8T33) trivial $101.315997099$
8.0.6146560000.8 $x^{8} - 2 x^{7} - 2 x^{6} - 2 x^{5} + 4 x^{4} + 22 x^{3} + 38 x^{2} + 30 x + 11$ $2^{12}\cdot 5^{4}\cdot 7^{4}$ $C_2^4:C_6$ (as 8T33) trivial $46.9176406792$
8.0.6332339776.1 $x^{8} - x^{7} + 4 x^{6} - x^{5} + 9 x^{4} - 11 x^{3} + 22 x^{2} - 7 x + 2$ $2^{6}\cdot 7^{6}\cdot 29^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $76.1586905245$
8.0.6332339776.3 $x^{8} - x^{7} + 7 x^{5} + 28 x^{2} + 6 x + 8$ $2^{6}\cdot 7^{6}\cdot 29^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $72.8403930994$
8.0.6371392041.3 $x^{8} - x^{7} - 4 x^{6} + 3 x^{5} + 18 x^{4} - 2 x^{3} + 7 x^{2} + 84 x + 63$ $3^{4}\cdot 7^{4}\cdot 181^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $108.98038733$
8.0.6720228529.1 $x^{8} - 3 x^{6} - 2 x^{5} + 15 x^{4} - 4 x^{3} - 12 x^{2} + 10 x + 11$ $7^{6}\cdot 239^{2}$ $C_2^4:C_6$ (as 8T33) trivial $163.476792059$
8.0.7564650625.2 $x^{8} - x^{7} + 8 x^{6} - 14 x^{5} + 31 x^{4} - 37 x^{3} + 33 x^{2} - 16 x + 4$ $5^{4}\cdot 7^{4}\cdot 71^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $27.2397306085$
8.4.7766544384.2 $x^{8} + 4 x^{6} - 2 x^{5} - 15 x^{4} - 14 x^{3} + x^{2} + 6 x + 1$ $2^{12}\cdot 3^{8}\cdot 17^{2}$ $C_2^4:C_6$ (as 8T33) trivial $182.003996854$
8.0.8414025984.10 $x^{8} - 2 x^{7} + 7 x^{6} - 18 x^{5} + 26 x^{4} - 26 x^{3} + 21 x^{2} - 12 x + 4$ $2^{8}\cdot 3^{4}\cdot 7^{4}\cdot 13^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $53.4091280479$
8.0.8481857409.1 $x^{8} - 3 x^{6} - x^{5} - 6 x^{4} - 9 x^{3} + 19 x^{2} + 30 x + 12$ $3^{10}\cdot 379^{2}$ $C_2^4:C_6$ (as 8T33) trivial $302.417906333$
8.0.9855525625.4 $x^{8} - 3 x^{7} + 7 x^{6} - 6 x^{5} + 8 x^{4} - 5 x^{3} + 14 x^{2} - 6 x + 9$ $5^{4}\cdot 11^{2}\cdot 19^{4}$ $C_2^4:C_6$ (as 8T33) $[2]$ $27.6077099365$
8.0.10144316961.1 $x^{8} - x^{7} - 9 x^{6} + x^{5} + 19 x^{4} + 27 x^{3} + 53 x^{2} + 37 x + 19$ $3^{4}\cdot 19^{4}\cdot 31^{2}$ $C_2^4:C_6$ (as 8T33) trivial $321.55900279$
8.4.12834170944.2 $x^{8} - 4 x^{7} + 9 x^{6} - 5 x^{5} - 12 x^{3} + 5 x^{2} + 3 x - 1$ $2^{6}\cdot 7^{4}\cdot 17^{4}$ $C_2^4:C_6$ (as 8T33) trivial $342.972806567$
8.0.13558506481.3 $x^{8} - x^{6} - 2 x^{5} + 17 x^{4} - 25 x^{3} + 30 x^{2} - 20 x + 9$ $13^{6}\cdot 53^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $57.3325337912$
8.0.13922112064.2 $x^{8} - x^{7} + x^{6} - x^{5} + 8 x^{4} - 8 x^{3} - 6 x^{2} - 14 x + 28$ $2^{6}\cdot 7^{6}\cdot 43^{2}$ $C_2^4:C_6$ (as 8T33) trivial $221.838420486$
8.0.13922112064.5 $x^{8} - 3 x^{7} + 2 x^{6} + 11 x^{5} - 20 x^{4} - 12 x^{3} + 88 x^{2} - 120 x + 64$ $2^{6}\cdot 7^{6}\cdot 43^{2}$ $C_2^4:C_6$ (as 8T33) trivial $227.408208237$
8.0.14438185281.4 $x^{8} - x^{7} - 7 x^{6} + 10 x^{5} + 5 x^{4} - 83 x^{3} + 242 x^{2} - 216 x + 61$ $3^{4}\cdot 13^{4}\cdot 79^{2}$ $C_2^4:C_6$ (as 8T33) trivial $312.046516178$
8.0.16019205489.1 $x^{8} - 3 x^{7} + 7 x^{5} - 7 x^{4} + 7 x^{2} + 4 x + 16$ $3^{4}\cdot 7^{6}\cdot 41^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $66.4798351838$
8.0.16151613921.1 $x^{8} - 9 x^{6} - 10 x^{5} + 60 x^{4} + 3 x^{3} - 98 x^{2} - 21 x + 93$ $3^{10}\cdot 523^{2}$ $C_2^4:C_6$ (as 8T33) trivial $465.662729208$
8.0.16531787776.6 $x^{8} - 2 x^{7} - 3 x^{6} + 14 x^{5} - 8 x^{4} - 16 x^{3} + 35 x^{2} - 28 x + 14$ $2^{12}\cdot 7^{4}\cdot 41^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $78.9062971897$
8.0.16796160000.4 $x^{8} - 2 x^{7} - 4 x^{6} + 27 x^{4} - 12 x^{3} - 20 x^{2} + 10 x + 11$ $2^{12}\cdot 3^{8}\cdot 5^{4}$ $C_2^4:C_6$ (as 8T33) trivial $89.0048322033$
8.4.16796160000.6 $x^{8} - 2 x^{7} + 2 x^{6} + 8 x^{5} - 46 x^{4} + 88 x^{3} - 64 x^{2} + 8 x + 4$ $2^{12}\cdot 3^{8}\cdot 5^{4}$ $C_2^4:C_6$ (as 8T33) trivial $176.917299553$
8.0.16899220009.1 $x^{8} - 2 x^{7} + 14 x^{5} - 28 x^{4} + 14 x^{3} + 56 x^{2} - 107 x + 74$ $7^{6}\cdot 379^{2}$ $C_2^4:C_6$ (as 8T33) trivial $272.738053481$
8.0.17282520369.1 $x^{8} - x^{7} + 4 x^{6} - 22 x^{5} + 40 x^{4} - 34 x^{3} + 94 x^{2} - 184 x + 133$ $3^{10}\cdot 541^{2}$ $C_2^4:C_6$ (as 8T33) $[4]$ $119.77862725$
8.0.17620173081.2 $x^{8} - x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 16 x^{3} + 11 x^{2} + 6 x + 4$ $3^{4}\cdot 7^{6}\cdot 43^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $71.1974124619$
8.4.19770609664.2 $x^{8} - 4 x^{7} + 6 x^{6} - 2 x^{5} - 15 x^{4} + 26 x^{3} - 24 x^{2} + 14 x - 3$ $2^{12}\cdot 13^{6}$ $C_2^4:C_6$ (as 8T33) trivial $298.453149693$
8.0.19770609664.6 $x^{8} - 2 x^{7} - 4 x^{6} - 4 x^{5} + 17 x^{4} + 24 x^{3} + 24 x^{2} + 10 x + 3$ $2^{12}\cdot 13^{6}$ $C_2^4:C_6$ (as 8T33) trivial $138.209667768$
8.0.20136745216.2 $x^{8} - 2 x^{7} - 7 x^{6} + 24 x^{5} - 9 x^{4} - 58 x^{3} + 108 x^{2} - 80 x + 25$ $2^{8}\cdot 7^{4}\cdot 181^{2}$ $C_2^4:C_6$ (as 8T33) trivial $350.234129575$
8.0.20671250625.1 $x^{8} - 3 x^{7} + 7 x^{6} - 22 x^{5} + 36 x^{4} - 49 x^{3} + 76 x^{2} - 60 x + 25$ $3^{8}\cdot 5^{4}\cdot 71^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $50.740786861$
8.0.20694548736.3 $x^{8} - 3 x^{6} - 2 x^{5} + 6 x^{4} + 6 x^{3} + x^{2} - 6 x + 6$ $2^{8}\cdot 3^{10}\cdot 37^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $119.289887849$
8.0.25329359104.7 $x^{8} - 2 x^{7} + 4 x^{6} - 4 x^{5} - 3 x^{4} + 10 x^{3} + 11 x^{2} - 10 x + 2$ $2^{8}\cdot 7^{6}\cdot 29^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $145.858824263$
8.0.26155945984.5 $x^{8} - 4 x^{7} + 4 x^{6} - 6 x^{5} + 29 x^{4} - 42 x^{3} + 19 x^{2} - 14 x + 17$ $2^{12}\cdot 7^{2}\cdot 19^{4}$ $C_2^4:C_6$ (as 8T33) $[2]$ $55.1267771546$
8.0.27935445321.2 $x^{8} - x^{7} + 14 x^{6} - 14 x^{5} + 56 x^{4} - 98 x^{3} + 98 x^{2} - 48 x + 13$ $3^{4}\cdot 7^{4}\cdot 379^{2}$ $C_2^4:C_6$ (as 8T33) trivial $582.609216451$
8.0.28362938569.1 $x^{8} + 2 x^{6} - 2 x^{5} + 2 x^{4} + 12 x^{3} + 16 x^{2} - x + 2$ $7^{6}\cdot 491^{2}$ $C_2^4:C_6$ (as 8T33) trivial $352.02021543$
8.0.28993575625.3 $x^{8} - 3 x^{7} + 8 x^{6} - 22 x^{5} + 22 x^{4} + 6 x^{3} - 6 x^{2} + 5$ $5^{4}\cdot 7^{4}\cdot 139^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $47.1768934448$
8.0.29182547241.1 $x^{8} - x^{7} - 8 x^{6} + 2 x^{5} + 16 x^{4} + 20 x^{3} + 58 x^{2} + 50 x + 13$ $3^{10}\cdot 19^{2}\cdot 37^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $277.34579999$
8.0.29182547241.2 $x^{8} - 3 x^{7} - 6 x^{6} + 33 x^{5} - 27 x^{4} - 117 x^{3} + 279 x^{2} - 135 x + 27$ $3^{10}\cdot 19^{2}\cdot 37^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $286.333216494$
8.0.30124114969.1 $x^{8} - 4 x^{6} - 3 x^{5} - x^{4} + 6 x^{3} + 35 x^{2} + 14 x + 3$ $13^{6}\cdot 79^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $82.9799856812$
8.0.32247898929.1 $x^{8} - x^{7} + 10 x^{6} + 2 x^{5} + 25 x^{4} + 29 x^{3} + 31 x^{2} - 22 x + 4$ $3^{10}\cdot 739^{2}$ $C_2^4:C_6$ (as 8T33) trivial $565.75480945$
8.0.32481050625.3 $x^{8} - 2 x^{6} - 6 x^{5} + 6 x^{4} + 21 x^{3} + 34 x^{2} + 45 x + 25$ $3^{8}\cdot 5^{4}\cdot 89^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $52.4464033824$
8.0.33837970401.1 $x^{8} - x^{7} + 7 x^{6} - 8 x^{5} + 14 x^{4} - 11 x^{3} + 10 x^{2} + 20 x + 7$ $3^{10}\cdot 757^{2}$ $C_2^4:C_6$ (as 8T33) $[2]$ $290.693641592$
8.0.33890232649.2 $x^{8} - 6 x^{6} - 8 x^{5} + 18 x^{4} + 58 x^{3} + 74 x^{2} + 49 x + 16$ $7^{4}\cdot 13^{2}\cdot 17^{4}$ $C_2^4:C_6$ (as 8T33) $[4]$ $81.9160337736$
8.0.35201639641.1 $x^{8} - x^{7} - 5 x^{6} - 17 x^{5} + 36 x^{4} + 44 x^{3} - 17 x^{2} - 15 x + 18$ $7^{6}\cdot 547^{2}$ $C_2^4:C_6$ (as 8T33) trivial $413.356877527$
8.0.37956390976.3 $x^{8} - x^{7} + x^{6} - 4 x^{5} + 9 x^{4} - 8 x^{3} + 4 x^{2} - 12 x + 18$ $2^{6}\cdot 7^{6}\cdot 71^{2}$ $C_2^4:C_6$ (as 8T33) trivial $397.758980791$
8.0.37956390976.4 $x^{8} - x^{7} - 3 x^{6} + 2 x^{5} + 15 x^{4} + 4 x^{3} - 12 x^{2} + 4 x + 22$ $2^{6}\cdot 7^{6}\cdot 71^{2}$ $C_2^4:C_6$ (as 8T33) trivial $368.335092903$
8.4.39033114624.6 $x^{8} - 4 x^{7} + 2 x^{6} + 6 x^{5} - 17 x^{4} + 26 x^{3} - 6 x^{2} - 14 x + 7$ $2^{12}\cdot 3^{4}\cdot 7^{6}$ $C_2^4:C_6$ (as 8T33) trivial $457.741785539$
Next   displayed columns for results