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Label Polynomial Discriminant Galois group Class group Regulator
10.2.836077225.1 $x^{10} - 2 x^{9} + 4 x^{8} - 5 x^{7} + 7 x^{6} - 8 x^{5} + 8 x^{4} - 6 x^{3} + 2 x^{2} - x - 1$ $5^{2}\cdot 5783^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $1.68996118963$
10.2.1050472921.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{5} + 2 x^{3} - x^{2} - x + 1$ $32411^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $1.95436523296$
10.2.1112689449.1 $x^{10} - x^{8} - 3 x^{7} + 2 x^{6} + x^{5} + 2 x^{4} - 3 x^{3} - x^{2} + 1$ $3^{2}\cdot 11119^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.06062327305$
10.2.1235874025.1 $x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 7 x^{6} - 9 x^{5} + 12 x^{4} - 11 x^{3} + 7 x^{2} - x - 1$ $5^{2}\cdot 79^{2}\cdot 89^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.16277435346$
10.2.1294776289.1 $x^{10} - 4 x^{6} + 3 x^{4} + 2 x^{2} - 1$ $35983^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.26116535916$
10.2.1332031009.1 $x^{10} - x^{9} + x^{7} - x^{6} + x^{5} - x^{4} + x^{3} - x + 1$ $36497^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.30590519217$
10.2.1338315889.1 $x^{10} - 2 x^{8} - x^{6} + 5 x^{4} - x^{2} - 1$ $36583^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.30837201867$
10.2.1404975289.1 $x^{10} - 2 x^{9} + x^{8} - x^{7} - 2 x^{6} + 4 x^{5} + x^{3} + 2 x^{2} - 2 x - 1$ $37483^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.38748599352$
10.2.1487567761.1 $x^{10} - x^{6} - x^{5} - x^{4} + 1$ $38569^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.47246005818$
10.2.1492508689.1 $x^{10} - 2 x^{9} + 6 x^{8} - 5 x^{7} + 7 x^{6} + 2 x^{5} - 2 x^{4} + 8 x^{3} - 4 x^{2} + 3 x - 1$ $7^{2}\cdot 5519^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.44654946164$
10.2.1524824401.1 $x^{10} - x^{9} - 4 x^{7} + 3 x^{6} - x^{5} + 7 x^{4} - 2 x^{3} + x^{2} - 4 x - 1$ $17^{2}\cdot 2297^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.45140405744$
10.2.1539071361.1 $x^{10} - 2 x^{9} + 4 x^{8} - 4 x^{7} + 5 x^{6} - 6 x^{5} + 4 x^{4} - 2 x^{3} - 2 x^{2} + 2 x - 1$ $3^{6}\cdot 1453^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.51403389086$
10.2.1712387161.1 $x^{10} - x^{8} - 2 x^{4} + 4 x^{2} - 1$ $41381^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.69257432408$
10.2.1729811281.1 $x^{10} - 2 x^{9} + x^{8} - 3 x^{7} + 4 x^{6} - 3 x^{5} + 4 x^{4} - 3 x^{3} + x^{2} - 2 x + 1$ $11^{2}\cdot 19^{2}\cdot 199^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.65067444635$
10.2.1757202561.1 $x^{10} - 2 x^{7} + x^{6} - x^{5} + x^{4} - 2 x^{3} + 1$ $3^{2}\cdot 89^{2}\cdot 157^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.79273658679$
10.2.1801408249.1 $x^{10} - x^{9} + x^{8} - 2 x^{6} + x^{5} - 2 x^{4} + x^{2} - x + 1$ $42443^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.72753654739$
10.2.1895296225.1 $x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} + 2 x^{6} - 3 x^{5} + 2 x^{4} - 3 x^{3} + 3 x^{2} - 2 x + 1$ $5^{2}\cdot 8707^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.82485936577$
10.2.1936704064.1 $x^{10} - 2 x^{4} + 3 x^{2} - 1$ $2^{6}\cdot 5501^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.94882249214$
10.2.2022480784.1 $x^{10} + x^{8} - 2 x^{2} - 1$ $2^{4}\cdot 11243^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.31057854564$
10.2.2045210176.1 $x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{6} + 7 x^{5} - 3 x^{4} - 3 x^{3} + 3 x^{2} - 3 x + 1$ $2^{6}\cdot 5653^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.33677932503$
10.2.2087667481.1 $x^{10} - 2 x^{9} - x^{8} + 4 x^{7} + x^{6} - 3 x^{5} - 3 x^{4} + 3 x^{3} + 4 x^{2} - 2 x - 1$ $45691^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $2.97080371762$
10.2.2089129849.1 $x^{10} - x^{9} - 3 x^{8} + 5 x^{7} + 2 x^{6} - 7 x^{5} + 2 x^{4} + 5 x^{3} - 3 x^{2} - x + 1$ $45707^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.37699255166$
10.2.2094618289.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 3 x^{6} + 7 x^{5} - 3 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$ $45767^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.03320243124$
10.2.2122168489.1 $x^{10} - x^{9} - 2 x^{8} + 2 x^{7} - 2 x^{6} - 4 x^{5} + 7 x^{4} - 7 x^{3} + 3 x^{2} - 1$ $7^{2}\cdot 6581^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.40753367503$
10.2.2153980921.1 $x^{10} + 2 x^{6} - 3 x^{2} - 1$ $46411^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.03738204661$
10.2.2349922576.1 $x^{10} - x^{9} - x^{6} - 2 x^{5} - x^{4} - x + 1$ $2^{4}\cdot 12119^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.64532405145$
10.2.2369645041.1 $x^{10} - 2 x^{9} + 4 x^{7} - 3 x^{6} + x^{5} - 3 x^{4} + 4 x^{3} - 2 x + 1$ $48679^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.26262563724$
10.2.2373540961.1 $x^{10} - 2 x^{8} - 3 x^{7} + 2 x^{6} + 6 x^{5} - x^{4} - 4 x^{3} - x^{2} + 2 x + 1$ $11^{2}\cdot 43^{2}\cdot 103^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.64879162436$
10.2.2392872889.1 $x^{10} - 5 x^{9} + 12 x^{8} - 18 x^{7} + 19 x^{6} - 15 x^{5} + 12 x^{4} - 10 x^{3} + 9 x^{2} - 5 x + 1$ $11^{2}\cdot 4447^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.31565372186$
10.2.2462243641.1 $x^{10} - x^{9} - 2 x^{8} + x^{6} - 3 x^{5} - 3 x^{4} - 4 x^{3} - 5 x^{2} - 2 x - 1$ $11^{2}\cdot 13^{2}\cdot 347^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.31538728997$
10.2.2582570761.1 $x^{10} - 2 x^{9} + 3 x^{8} - 6 x^{7} + 8 x^{6} - 9 x^{5} + 8 x^{4} - 6 x^{3} + 3 x^{2} - 2 x + 1$ $89^{2}\cdot 571^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.84716554195$
10.2.2651014144.1 $x^{10} + 2 x^{8} + x^{6} - 2 x^{4} - 2 x^{2} - 1$ $2^{10}\cdot 1609^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.52327837545$
10.2.2651014144.2 $x^{10} - 2 x^{8} + 3 x^{6} - 3 x^{4} + x^{2} - 1$ $2^{10}\cdot 1609^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.44895780375$
10.2.2651014144.3 $x^{10} - x^{6} + x^{4} + x^{2} - 1$ $2^{10}\cdot 1609^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.57771437355$
10.2.2655650089.1 $x^{10} - x^{8} + x^{6} - x^{5} - 3 x^{4} - 6 x^{3} - 6 x^{2} - x - 1$ $29^{2}\cdot 1777^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.41805860452$
10.2.2707641225.1 $x^{10} - 2 x^{9} + 4 x^{8} - 4 x^{7} + x^{6} - x^{5} + x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$ $3^{2}\cdot 5^{2}\cdot 3469^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.52188815594$
10.2.2757615169.1 $x^{10} - 2 x^{9} + 4 x^{7} - x^{6} - 5 x^{5} + x^{4} + 4 x^{3} - 2 x - 1$ $17^{2}\cdot 3089^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.58102263843$
10.2.2768022544.1 $x^{10} - x^{7} + x^{6} + x^{5} - x^{4} - x^{3} - 1$ $2^{4}\cdot 7^{2}\cdot 1879^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $4.02663437004$
10.2.2784461824.1 $x^{10} + x^{8} - x^{4} - x^{2} - 1$ $2^{10}\cdot 17^{2}\cdot 97^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.57444454481$
10.2.2784461824.2 $x^{10} + 3 x^{8} + 5 x^{6} + 3 x^{4} - 1$ $2^{10}\cdot 17^{2}\cdot 97^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.62337940413$
10.2.2784461824.3 $x^{10} - 2 x^{8} + x^{6} - x^{4} + 3 x^{2} - 1$ $2^{10}\cdot 17^{2}\cdot 97^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.6925307128$
10.2.2930165161.1 $x^{10} - 3 x^{9} + 3 x^{8} - 4 x^{6} + 5 x^{5} - 4 x^{4} + 3 x^{2} - 3 x + 1$ $7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 37^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.71468117339$
10.2.3116765584.1 $x^{10} - 2 x^{8} + 3 x^{2} - 1$ $2^{4}\cdot 17^{2}\cdot 821^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $4.33718874961$
10.2.3128276761.1 $x^{10} - x^{8} - 4 x^{6} + 6 x^{4} - 1$ $55931^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $4.12890724749$
10.2.3154731889.1 $x^{10} - 3 x^{9} + 4 x^{8} - 3 x^{7} + x^{6} - x^{5} + x^{4} - 3 x^{3} + 4 x^{2} - 3 x + 1$ $56167^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.76735066497$
10.2.3218406361.1 $x^{10} - x^{9} - x^{8} + x^{7} - 2 x^{6} + 5 x^{5} - 2 x^{4} + x^{3} - x^{2} - x + 1$ $56731^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $4.50777033426$
10.2.3222605824.1 $x^{10} - 4 x^{9} + 7 x^{8} - 6 x^{7} + 10 x^{5} - 18 x^{4} + 18 x^{3} - 12 x^{2} + 6 x - 1$ $2^{12}\cdot 887^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $4.53775749754$
10.2.3233514496.1 $x^{10} - x^{8} + x^{6} - 2 x^{4} + x^{2} - 1$ $2^{10}\cdot 1777^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.9601894649$
10.2.3233514496.2 $x^{10} - 2 x^{8} + 3 x^{6} - 2 x^{4} + 2 x^{2} - 1$ $2^{10}\cdot 1777^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $4.19708849684$
10.2.3233514496.3 $x^{10} - 2 x^{6} + x^{4} + 2 x^{2} - 1$ $2^{10}\cdot 1777^{2}$ $(C_2^4:A_5) : C_2$ (as 10T37) trivial $3.84584551708$
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