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Results (1-50 of at least 1000)

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Label Polynomial Discriminant Galois group Class group Regulator
6.2.497664.1 $x^{6} - 2 x^{5} + x^{4} + x^{2} - 2 x - 1$ $2^{11}\cdot 3^{5}$ $S_6$ (as 6T16) trivial $6.01652511689$
6.0.1140736.1 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + 3 x^{2} + 2 x + 3$ $-\,2^{11}\cdot 557$ $S_6$ (as 6T16) trivial $10.6365464409$
6.2.2217984.2 $x^{6} - 6 x^{4} + 10 x^{2} - 6$ $2^{11}\cdot 3\cdot 19^{2}$ $S_4\times C_2$ (as 6T11) trivial $14.4070798382$
6.2.2267136.1 $x^{6} - 2 x^{4} - 4 x^{3} + 4 x^{2} + 4 x - 2$ $2^{11}\cdot 3^{3}\cdot 41$ $S_6$ (as 6T16) trivial $12.3608929385$
6.2.2430976.1 $x^{6} - 2 x^{4} - 4 x^{3} - 4 x^{2} - 4 x - 2$ $2^{11}\cdot 1187$ $S_6$ (as 6T16) trivial $15.9967474632$
6.2.2725888.1 $x^{6} + 2 x^{4} - 10 x^{2} - 22$ $2^{11}\cdot 11^{3}$ $S_4\times C_2$ (as 6T11) trivial $10.7423969789$
6.0.2959360.1 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + x^{2} + 2 x + 1$ $-\,2^{11}\cdot 5\cdot 17^{2}$ $S_6$ (as 6T16) trivial $11.73683643$
6.4.3008512.1 $x^{6} - 2 x^{5} + x^{4} - 8 x^{3} + 11 x^{2} + 2 x - 1$ $-\,2^{11}\cdot 13\cdot 113$ $S_6$ (as 6T16) trivial $18.7069764295$
6.2.3250176.1 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} - x^{2} + 2 x - 1$ $2^{11}\cdot 3\cdot 23^{2}$ $S_6$ (as 6T16) trivial $18.679773193$
6.2.3512320.1 $x^{6} - 2 x^{4} - 4 x^{3} + 4 x + 6$ $2^{11}\cdot 5\cdot 7^{3}$ $S_6$ (as 6T16) trivial $22.7131671589$
6.0.3745792.1 $x^{6} - 2 x^{5} + x^{4} + 3 x^{2} - 6 x + 7$ $-\,2^{11}\cdot 31\cdot 59$ $S_6$ (as 6T16) trivial $14.3106246725$
6.2.3889152.1 $x^{6} - 2 x^{5} - x^{4} + 8 x^{3} - 17 x^{2} + 10 x - 3$ $2^{11}\cdot 3^{2}\cdot 211$ $S_6$ (as 6T16) trivial $26.0378457103$
6.2.4904960.1 $x^{6} - 2 x^{5} + x^{4} - 4 x^{3} + 5 x^{2} + 2 x - 1$ $2^{11}\cdot 5\cdot 479$ $S_6$ (as 6T16) trivial $21.0897950108$
6.2.5150720.1 $x^{6} - 2 x^{5} - 3 x^{4} + 8 x^{3} - x^{2} - 2 x - 3$ $2^{11}\cdot 5\cdot 503$ $S_6$ (as 6T16) trivial $28.2538491657$
6.0.5384192.1 $x^{6} - 2 x^{5} + 3 x^{4} + x^{2} - 2 x + 5$ $-\,2^{11}\cdot 11\cdot 239$ $S_6$ (as 6T16) trivial $21.406975579$
6.4.5531648.1 $x^{6} - 2 x^{5} - 5 x^{4} + 8 x^{3} + 5 x^{2} - 2 x + 1$ $-\,2^{11}\cdot 37\cdot 73$ $S_6$ (as 6T16) trivial $30.7327135178$
6.2.6346752.1 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + x^{2} - 6 x + 9$ $2^{11}\cdot 3\cdot 1033$ $S_6$ (as 6T16) trivial $26.4407753939$
6.2.6690816.2 $x^{6} - 6 x^{4} + 18 x^{2} - 54$ $2^{11}\cdot 3^{3}\cdot 11^{2}$ $S_4\times C_2$ (as 6T11) trivial $22.764165206$
6.0.7186432.1 $x^{6} + 2 x^{4} - 18 x^{2} + 58$ $-\,2^{11}\cdot 11^{2}\cdot 29$ $S_4\times C_2$ (as 6T11) $[2]$ $4.86367962677$
6.0.7464960.1 $x^{6} - 6 x^{4} + 6 x^{2} + 10$ $-\,2^{11}\cdot 3^{6}\cdot 5$ $S_4\times C_2$ (as 6T11) trivial $16.9239566732$
6.2.7657472.1 $x^{6} - 2 x^{5} - 5 x^{4} + 8 x^{3} - 13 x^{2} + 10 x - 3$ $2^{11}\cdot 3739$ $S_6$ (as 6T16) trivial $37.7493006968$
6.0.8562688.2 $x^{6} + 2 x^{4} - 8 x^{3} + 4 x + 2$ $-\,2^{11}\cdot 37\cdot 113$ $S_6$ (as 6T16) trivial $25.447579431$
6.2.8689664.2 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + 9 x^{2} - 6 x + 1$ $2^{11}\cdot 4243$ $S_6$ (as 6T16) trivial $24.4689633425$
6.2.9705472.1 $x^{6} - 4 x^{3} - 4 x^{2} - 4 x + 2$ $2^{11}\cdot 7\cdot 677$ $S_6$ (as 6T16) trivial $32.1930807764$
6.2.10459136.1 $x^{6} - 2 x^{5} + x^{4} - 4 x^{3} - x^{2} + 2 x - 11$ $2^{11}\cdot 5107$ $S_6$ (as 6T16) trivial $35.0896859857$
6.2.10655744.2 $x^{6} - 12 x^{4} + 50 x^{2} - 86$ $2^{11}\cdot 11^{2}\cdot 43$ $S_4\times C_2$ (as 6T11) trivial $28.793285995$
6.2.10721280.1 $x^{6} - 4 x^{3} + 4 x^{2} - 4 x + 2$ $2^{11}\cdot 3\cdot 5\cdot 349$ $S_6$ (as 6T16) trivial $41.7632153406$
6.2.11114496.4 $x^{6} - 2 x^{5} - 3 x^{4} + 3 x^{2} - 6 x + 3$ $2^{11}\cdot 3^{4}\cdot 67$ $S_6$ (as 6T16) trivial $49.437494456$
6.2.11360256.2 $x^{6} - 4 x^{4} + 14 x^{2} - 6$ $2^{11}\cdot 3\cdot 43^{2}$ $S_4\times C_2$ (as 6T11) trivial $46.0414404243$
6.2.11622400.1 $x^{6} - 2 x^{5} + 9 x^{4} - 12 x^{3} + 7 x^{2} + 2 x - 3$ $2^{11}\cdot 5^{2}\cdot 227$ $S_6$ (as 6T16) trivial $41.2663585062$
6.2.12195840.1 $x^{6} - 2 x^{5} + 3 x^{4} - 11 x^{2} + 6 x + 9$ $2^{11}\cdot 3\cdot 5\cdot 397$ $S_6$ (as 6T16) trivial $53.233025416$
6.0.12544000.2 $x^{6} + 4 x^{4} - 10 x^{2} + 10$ $-\,2^{11}\cdot 5^{3}\cdot 7^{2}$ $S_4\times C_2$ (as 6T11) trivial $34.8192954019$
6.2.12949504.1 $x^{6} - 2 x^{4} - 12 x^{3} + 20 x^{2} + 4 x - 2$ $2^{11}\cdot 6323$ $S_6$ (as 6T16) trivial $29.1622001262$
6.4.13133824.1 $x^{6} - 8 x^{4} - 4 x^{3} + 4 x^{2} + 8 x - 4$ $-\,2^{11}\cdot 11^{2}\cdot 53$ $S_6$ (as 6T16) trivial $52.1917663463$
6.0.13133824.2 $x^{6} - 4 x^{4} - 2 x^{2} + 106$ $-\,2^{11}\cdot 11^{2}\cdot 53$ $S_4\times C_2$ (as 6T11) $[2]$ $10.7026917842$
6.2.13670400.1 $x^{6} - 2 x^{5} + 3 x^{4} - 13 x^{2} + 18 x - 27$ $2^{11}\cdot 3\cdot 5^{2}\cdot 89$ $S_6$ (as 6T16) trivial $50.3605564185$
6.4.14018560.2 $x^{6} + 2 x^{4} - 14 x^{2} + 10$ $-\,2^{11}\cdot 5\cdot 37^{2}$ $S_4\times C_2$ (as 6T11) trivial $44.4248061774$
6.0.15116288.2 $x^{6} + 12 x^{4} + 54 x^{2} + 122$ $-\,2^{11}\cdot 11^{2}\cdot 61$ $S_4\times C_2$ (as 6T11) $[2]$ $11.3493847792$
6.2.15177728.2 $x^{6} - 2 x^{5} + 7 x^{4} + 15 x^{2} - 2 x - 9$ $2^{11}\cdot 7411$ $S_6$ (as 6T16) trivial $65.5681790962$
6.2.15325184.1 $x^{6} - 2 x^{5} + 5 x^{4} - 8 x^{3} + 11 x^{2} - 14 x + 3$ $2^{11}\cdot 7\cdot 1069$ $S_6$ (as 6T16) trivial $49.270627543$
6.0.15329280.1 $x^{6} - 2 x^{5} + 5 x^{4} + 11 x^{2} - 2 x + 9$ $-\,2^{11}\cdot 3\cdot 5\cdot 499$ $S_6$ (as 6T16) trivial $47.61400500198417$
6.4.15362048.1 $x^{6} - 2 x^{5} - 5 x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 3$ $-\,2^{11}\cdot 13\cdot 577$ $S_6$ (as 6T16) trivial $67.4860945884$
6.2.15669248.1 $x^{6} - 2 x^{5} - x^{4} - 8 x^{3} - 9 x^{2} - 2 x - 1$ $2^{11}\cdot 7\cdot 1093$ $S_6$ (as 6T16) trivial $38.1535966147$
6.2.15865856.1 $x^{6} - 2 x^{5} + x^{4} - 7 x^{2} + 14 x - 9$ $2^{11}\cdot 61\cdot 127$ $S_6$ (as 6T16) trivial $41.1313291846$
6.2.15980544.4 $x^{6} - 4 x^{4} + 6 x^{2} - 6$ $2^{11}\cdot 3^{3}\cdot 17^{2}$ $S_4\times C_2$ (as 6T11) trivial $67.3985884759$
6.2.16013312.1 $x^{6} - 4 x^{3} - 8 x^{2} - 16 x - 12$ $2^{11}\cdot 7\cdot 1117$ $S_6$ (as 6T16) trivial $59.2816376781$
6.2.16422912.2 $x^{6} - 6 x^{4} + 18 x^{2} - 22$ $2^{11}\cdot 3^{6}\cdot 11$ $S_4\times C_2$ (as 6T11) trivial $51.8334438889$
6.2.17831936.1 $x^{6} - 2 x^{5} - 5 x^{4} + 27 x^{2} - 14 x - 11$ $2^{11}\cdot 8707$ $S_6$ (as 6T16) trivial $37.2570406128$
6.0.18933760.2 $x^{6} - 4 x^{4} + 2 x^{2} + 10$ $-\,2^{11}\cdot 5\cdot 43^{2}$ $S_4\times C_2$ (as 6T11) trivial $24.4833436302$
6.0.19081216.2 $x^{6} - 6 x^{4} - 22 x^{2} + 154$ $-\,2^{11}\cdot 7\cdot 11^{3}$ $S_4\times C_2$ (as 6T11) $[2]$ $10.7429161319$
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