Learn more

Refine search


Results (1-50 of 67382 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
8.0.167186432.1 $x^{8} - 2 x^{7} + 2 x^{6} + x^{4} + 2 x^{2} + 2 x + 1$ $2^{12}\cdot 7^{4}\cdot 17$ $C_2\wr A_4$ (as 8T38) trivial $7.40224439959$
8.0.324538368.1 $x^{8} - 2 x^{7} + 6 x^{5} - x^{4} - 6 x^{3} + 7$ $2^{12}\cdot 3\cdot 7^{4}\cdot 11$ $C_2\wr A_4$ (as 8T38) trivial $16.9513024133$
8.0.374863125.1 $x^{8} - 4 x^{7} + 3 x^{6} + 5 x^{5} - 5 x^{4} - 3 x^{3} + 5 x^{2} - 2 x + 1$ $3\cdot 5^{4}\cdot 7\cdot 13^{4}$ $C_2\wr A_4$ (as 8T38) $[2]$ $7.76728937244$
8.0.374863125.2 $x^{8} - x^{7} + 2 x^{6} + x^{5} + 8 x^{4} + 4 x^{3} + 8 x^{2} + 1$ $3\cdot 5^{4}\cdot 7\cdot 13^{4}$ $C_2\wr A_4$ (as 8T38) $[2]$ $16.7419771711$
8.0.560566272.1 $x^{8} - 2 x^{7} + 8 x^{6} - 10 x^{5} + 16 x^{4} - 14 x^{3} + 8 x^{2} - 6 x + 3$ $2^{12}\cdot 3\cdot 7^{4}\cdot 19$ $C_2\wr A_4$ (as 8T38) trivial $14.1991653929$
8.0.668745728.1 $x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{5} - 2 x^{3} + 2 x^{2} + 2 x + 1$ $2^{14}\cdot 7^{4}\cdot 17$ $C_2\wr A_4$ (as 8T38) $[2]$ $18.9776036637$
8.0.717918208.1 $x^{8} - 4 x^{7} + 6 x^{6} - 4 x^{5} + 3 x^{4} - 4 x^{3} + 10 x^{2} - 8 x + 9$ $2^{12}\cdot 7^{4}\cdot 73$ $C_2\wr A_4$ (as 8T38) trivial $26.8786065956$
8.0.785427500.1 $x^{8} - x^{6} + 7 x^{4} - 4 x^{2} + 11$ $2^{2}\cdot 5^{4}\cdot 11\cdot 13^{4}$ $C_2\wr A_4$ (as 8T38) $[2]$ $13.3145690095$
8.0.785427500.2 $x^{8} - 2 x^{7} + 6 x^{6} - 6 x^{5} + 13 x^{4} - 2 x^{3} + 9 x^{2} + 4 x + 1$ $2^{2}\cdot 5^{4}\cdot 11\cdot 13^{4}$ $C_2\wr A_4$ (as 8T38) $[2]$ $21.0447100369$
8.0.786759680.1 $x^{8} + 4 x^{6} - 4 x^{5} + 2 x^{4} - 8 x^{3} + 4 x^{2} + 4 x + 9$ $2^{16}\cdot 5\cdot 7^{4}$ $C_2\wr A_4$ (as 8T38) trivial $47.8243927086$
8.0.786759680.2 $x^{8} - 8 x^{5} + 6 x^{4} + 8 x^{3} + 1$ $2^{16}\cdot 5\cdot 7^{4}$ $C_2\wr A_4$ (as 8T38) trivial $27.0106106552$
8.0.875270144.1 $x^{8} - 4 x^{6} - 6 x^{5} + x^{4} + 18 x^{3} + 18 x^{2} + 8 x + 6$ $2^{12}\cdot 7^{4}\cdot 89$ $C_2\wr A_4$ (as 8T38) trivial $73.3443997506$
8.0.886837248.1 $x^{8} - 2 x^{7} - 2 x^{6} + 9 x^{4} - 2 x^{2} - 2 x + 1$ $2^{12}\cdot 3^{9}\cdot 11$ $C_2\wr A_4$ (as 8T38) trivial $31.048400062$
8.0.886837248.2 $x^{8} + 4 x^{6} - 8 x^{5} + 18 x^{4} - 8 x^{3} + 4 x^{2} + 1$ $2^{12}\cdot 3^{9}\cdot 11$ $C_2\wr A_4$ (as 8T38) trivial $60.3149588795$
8.0.1032622080.1 $x^{8} - 4 x^{7} + 6 x^{6} - 4 x^{5} + 5 x^{4} - 8 x^{3} - 4 x^{2} + 8 x + 8$ $2^{12}\cdot 3\cdot 5\cdot 7^{5}$ $C_2\wr A_4$ (as 8T38) trivial $73.5672626733$
8.0.1032622080.2 $x^{8} - 2 x^{7} - 4 x^{6} + 6 x^{5} + 8 x^{4} - 14 x^{3} + 16 x^{2} - 6 x + 3$ $2^{12}\cdot 3\cdot 5\cdot 7^{5}$ $C_2\wr A_4$ (as 8T38) trivial $66.9185935154$
8.0.1101828096.1 $x^{8} - 2 x^{7} + 2 x^{6} - 3 x^{4} + 2 x^{2} + 2 x + 1$ $2^{12}\cdot 3^{8}\cdot 41$ $C_2\wr A_4$ (as 8T38) trivial $28.7557250039$
8.0.1298153472.1 $x^{8} - 2 x^{7} - 8 x^{5} + 12 x^{4} + 20 x^{2} - 12 x + 14$ $2^{14}\cdot 3\cdot 7^{4}\cdot 11$ $C_2\wr A_4$ (as 8T38) $[2]$ $26.8461655737$
8.0.1347325952.11 $x^{8} - 2 x^{7} + 6 x^{6} - 4 x^{5} + 5 x^{4} - 12 x^{3} + 22 x^{2} - 18 x + 5$ $2^{12}\cdot 7^{4}\cdot 137$ $C_2\wr A_4$ (as 8T38) trivial $44.3905522581$
8.0.1583353856.3 $x^{8} - 2 x^{6} - 4 x^{5} - x^{4} + 12 x^{3} + 10 x^{2} + 4 x + 5$ $2^{12}\cdot 7^{5}\cdot 23$ $C_2\wr A_4$ (as 8T38) trivial $32.467096451$
8.0.1583353856.4 $x^{8} - 2 x^{7} + 8 x^{6} - 18 x^{5} + 31 x^{4} - 46 x^{3} + 48 x^{2} - 28 x + 7$ $2^{12}\cdot 7^{5}\cdot 23$ $C_2\wr A_4$ (as 8T38) trivial $46.504816588$
8.0.1740705792.1 $x^{8} - 2 x^{7} + 6 x^{6} - 18 x^{5} + 31 x^{4} - 28 x^{3} + 16 x^{2} - 8 x + 4$ $2^{12}\cdot 3\cdot 7^{4}\cdot 59$ $C_2\wr A_4$ (as 8T38) trivial $75.4714300692$
8.0.1746800640.1 $x^{8} - 4 x^{6} - 8 x^{5} + 18 x^{4} + 8 x^{3} - 4 x^{2} + 1$ $2^{12}\cdot 3^{8}\cdot 5\cdot 13$ $C_2\wr A_4$ (as 8T38) trivial $44.1457563657$
8.0.1802913125.2 $x^{8} - 2 x^{7} - x^{5} + 5 x^{4} - 3 x^{3} + 9 x^{2} - 19 x + 14$ $5^{4}\cdot 13^{4}\cdot 101$ $C_2\wr A_4$ (as 8T38) $[2]$ $56.412758503$
8.0.1802913125.3 $x^{8} - x^{7} - 4 x^{6} + 10 x^{4} - 4 x^{2} + x + 1$ $5^{4}\cdot 13^{4}\cdot 101$ $C_2\wr A_4$ (as 8T38) $[2]$ $14.1568574875$
8.0.1819381760.1 $x^{8} - 4 x^{7} + 6 x^{6} - 4 x^{5} + 9 x^{4} - 16 x^{3} + 8 x + 4$ $2^{12}\cdot 5\cdot 7^{4}\cdot 37$ $C_2\wr A_4$ (as 8T38) trivial $79.3716978284$
8.0.1856465000.1 $x^{8} - 2 x^{7} - x^{6} - x^{5} + 6 x^{4} + x^{3} - x^{2} + 2 x + 1$ $2^{3}\cdot 5^{4}\cdot 13^{5}$ $C_2\wr A_4$ (as 8T38) $[2]$ $33.2666085813$
8.0.1856465000.2 $x^{8} - 3 x^{7} + 6 x^{6} - 2 x^{5} + 2 x^{3} + 6 x^{2} + 3 x + 1$ $2^{3}\cdot 5^{4}\cdot 13^{5}$ $C_2\wr A_4$ (as 8T38) $[2]$ $24.3632946408$
8.0.1856465000.3 $x^{8} - x^{7} + 6 x^{6} - 2 x^{5} + 20 x^{4} + 6 x^{3} + 25 x^{2} + 12 x + 4$ $2^{3}\cdot 5^{4}\cdot 13^{5}$ $C_2\wr A_4$ (as 8T38) $[2]$ $15.6341942635$
8.0.1856465000.4 $x^{8} + 4 x^{6} - 4 x^{5} + x^{4} + 12 x^{3} - 7 x^{2} - 4 x + 6$ $2^{3}\cdot 5^{4}\cdot 13^{5}$ $C_2\wr A_4$ (as 8T38) $[2]$ $37.9464329755$
8.0.1898057728.1 $x^{8} - 4 x^{7} + 12 x^{6} - 22 x^{5} + 33 x^{4} - 34 x^{3} + 30 x^{2} - 16 x + 10$ $2^{12}\cdot 7^{4}\cdot 193$ $C_2\wr A_4$ (as 8T38) trivial $127.789417142$
8.0.1976733696.1 $x^{8} - 2 x^{7} - 2 x^{6} + 10 x^{5} - 13 x^{4} - 4 x^{3} + 28 x^{2} - 24 x + 8$ $2^{12}\cdot 3\cdot 7^{4}\cdot 67$ $C_2\wr A_4$ (as 8T38) trivial $95.7990202191$
8.0.1988759552.1 $x^{8} + 4 x^{6} - 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 1$ $2^{12}\cdot 13^{4}\cdot 17$ $C_2\wr A_4$ (as 8T38) trivial $100.691435355$
8.0.2055409664.1 $x^{8} + 2 x^{6} - 4 x^{5} - 3 x^{4} - 4 x^{3} + 4 x^{2} + 8 x + 8$ $2^{12}\cdot 7^{4}\cdot 11\cdot 19$ $C_2\wr A_4$ (as 8T38) trivial $123.66191658$
8.0.2134085632.1 $x^{8} - 4 x^{6} - 2 x^{5} + 13 x^{4} + 10 x^{3} + 12 x^{2} + 2 x + 3$ $2^{12}\cdot 7^{5}\cdot 31$ $C_2\wr A_4$ (as 8T38) trivial $67.0422144708$
8.0.2134085632.2 $x^{8} - 4 x^{6} - 10 x^{5} + x^{4} + 22 x^{3} + 28 x^{2} + 14 x + 7$ $2^{12}\cdot 7^{5}\cdot 31$ $C_2\wr A_4$ (as 8T38) trivial $28.851122135$
8.0.2149908480.1 $x^{8} - 2 x^{6} - 4 x^{5} + 6 x^{4} - 4 x^{3} + 22 x^{2} - 12 x + 7$ $2^{16}\cdot 3^{8}\cdot 5$ $C_2\wr A_4$ (as 8T38) trivial $83.279356779$
8.0.2149908480.2 $x^{8} + 2 x^{6} - 8 x^{5} + 6 x^{4} - 4 x^{3} + 16 x^{2} + 12 x + 2$ $2^{16}\cdot 3^{8}\cdot 5$ $C_2\wr A_4$ (as 8T38) trivial $76.6826734159$
8.0.2242265088.1 $x^{8} - 2 x^{7} + 12 x^{5} - 12 x^{4} + 24 x^{2} - 24 x + 22$ $2^{14}\cdot 3\cdot 7^{4}\cdot 19$ $C_2\wr A_4$ (as 8T38) $[2]$ $34.4110041083$
8.0.2291437568.8 $x^{8} - 2 x^{7} + 2 x^{6} - 4 x^{5} + 6 x^{4} - 24 x^{3} + 44 x^{2} - 24 x + 4$ $2^{12}\cdot 7^{4}\cdot 233$ $C_2\wr A_4$ (as 8T38) trivial $44.5476042043$
8.0.2370113536.1 $x^{8} - 6 x^{6} - 4 x^{5} + x^{4} + 12 x^{3} + 32 x^{2} + 16 x + 4$ $2^{12}\cdot 7^{4}\cdot 241$ $C_2\wr A_4$ (as 8T38) trivial $100.588698239$
8.0.2527465472.1 $x^{8} - 2 x^{7} + 8 x^{6} - 14 x^{5} + 24 x^{4} - 14 x^{3} + 16 x^{2} - 2 x + 11$ $2^{12}\cdot 7^{4}\cdot 257$ $C_2\wr A_4$ (as 8T38) trivial $31.9129790842$
8.0.2606141440.1 $x^{8} - 2 x^{7} - 2 x^{6} + 4 x^{5} + 5 x^{4} - 4 x^{3} - 2 x^{2} + 2 x + 1$ $2^{12}\cdot 5\cdot 7^{4}\cdot 53$ $C_2\wr A_4$ (as 8T38) trivial $61.8127593543$
8.0.2606764032.3 $x^{8} - 4 x^{7} + 4 x^{6} + 2 x^{5} + x^{4} - 10 x^{3} + 2 x^{2} + 4 x + 2$ $2^{12}\cdot 3^{8}\cdot 97$ $C_2\wr A_4$ (as 8T38) trivial $73.0674576144$
8.0.2821754880.1 $x^{8} - 2 x^{7} - 2 x^{5} + 4 x^{4} - 6 x^{3} + 4 x^{2} + 10 x + 15$ $2^{12}\cdot 3^{9}\cdot 5\cdot 7$ $C_2\wr A_4$ (as 8T38) trivial $196.677944869$
8.0.2821754880.2 $x^{8} - 2 x^{7} - 2 x^{6} + 12 x^{5} - 3 x^{4} + 26 x^{2} - 10 x + 5$ $2^{12}\cdot 3^{9}\cdot 5\cdot 7$ $C_2\wr A_4$ (as 8T38) trivial $85.4344025127$
8.0.2871672832.1 $x^{8} - 2 x^{7} + 8 x^{5} - 4 x^{4} - 16 x^{3} + 28 x^{2} - 28 x + 14$ $2^{14}\cdot 7^{4}\cdot 73$ $C_2\wr A_4$ (as 8T38) $[2]$ $22.4177598401$
8.0.2920845312.1 $x^{8} - 2 x^{7} - 8 x^{5} + 23 x^{4} - 10 x^{3} + 22 x^{2} - 52 x + 34$ $2^{12}\cdot 3^{3}\cdot 7^{4}\cdot 11$ $C_2\wr A_4$ (as 8T38) trivial $92.2422661613$
8.0.2999521280.1 $x^{8} - 2 x^{7} + 8 x^{6} - 6 x^{5} + 32 x^{4} - 22 x^{3} + 24 x^{2} - 10 x + 3$ $2^{12}\cdot 5\cdot 7^{4}\cdot 61$ $C_2\wr A_4$ (as 8T38) trivial $80.0614169228$
8.0.3036745728.2 $x^{8} - 2 x^{7} + 8 x^{6} - 10 x^{5} + 20 x^{4} - 14 x^{3} + 24 x^{2} - 6 x + 15$ $2^{12}\cdot 3^{8}\cdot 113$ $C_2\wr A_4$ (as 8T38) trivial $71.6893143284$
Next   displayed columns for results