Learn more

Refine search


Results (1-50 of 20118 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
8.0.25401600.1 $x^{8} - 2 x^{7} + 4 x^{6} - 10 x^{5} + 9 x^{4} - 14 x^{3} + 16 x^{2} - 4 x + 13$ $2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $15.3294537812$
8.0.39690000.1 $x^{8} - 3 x^{7} - x^{6} + 10 x^{5} - 20 x^{3} + 9 x^{2} + 7 x + 1$ $2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $11.2026579566$
8.0.51840000.1 $x^{8} - 3 x^{6} + 5 x^{4} - 6 x^{2} + 4$ $2^{10}\cdot 3^{4}\cdot 5^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $11.930042613$
8.0.62726400.1 $x^{8} + 5 x^{6} - 2 x^{5} + 18 x^{4} - 14 x^{3} + 30 x^{2} - 14 x + 13$ $2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $17.0457674595$
8.0.77792400.1 $x^{8} - x^{7} - 2 x^{6} + 8 x^{5} - 6 x^{4} - 5 x^{3} + 16 x^{2} - 14 x + 7$ $2^{4}\cdot 3^{4}\cdot 5^{2}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $14.0862383426$
8.0.87609600.1 $x^{8} - 2 x^{7} - 6 x^{6} + 12 x^{5} + 24 x^{4} - 14 x^{3} - 31 x^{2} + 4 x + 13$ $2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 13^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $19.7369044042$
8.0.122943744.1 $x^{8} - 4 x^{7} + 9 x^{6} - 4 x^{5} - 16 x^{4} + 34 x^{3} - 20 x^{2} - 24 x + 37$ $2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $27.4959096141$
8.0.132710400.1 $x^{8} - 4 x^{6} - 8 x^{5} + x^{4} + 16 x^{3} + 22 x^{2} + 12 x + 3$ $2^{16}\cdot 3^{4}\cdot 5^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $28.4165995939$
8.0.132710400.2 $x^{8} - 8 x^{6} + 33 x^{4} - 50 x^{2} + 25$ $2^{16}\cdot 3^{4}\cdot 5^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $34.8548731493$
8.0.138297600.1 $x^{8} - 2 x^{7} + 7 x^{6} - 2 x^{5} - 4 x^{3} + 3 x^{2} + 4 x + 1$ $2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $32.2273294777$
8.0.158760000.1 $x^{8} - 3 x^{7} - 2 x^{6} + 8 x^{5} + 11 x^{4} - 20 x^{3} - 12 x^{2} + 7 x + 19$ $2^{6}\cdot 3^{4}\cdot 5^{4}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $18.5191251378$
8.0.171714816.5 $x^{8} - 4 x^{7} - x^{6} + 16 x^{5} + x^{4} - 24 x^{3} - 12 x^{2} + 36$ $2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 13^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $48.7827733585$
8.0.171714816.6 $x^{8} - 5 x^{6} - 8 x^{5} - 4 x^{4} + 26 x^{3} + 60 x^{2} + 62 x + 37$ $2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 13^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $33.9268755309$
8.0.187142400.1 $x^{8} - 2 x^{7} + 7 x^{6} - 18 x^{5} + 34 x^{4} - 64 x^{3} + 78 x^{2} - 84 x + 61$ $2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 19^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $29.4476173609$
8.0.199148544.1 $x^{8} - 7 x^{6} + 17 x^{4} - 14 x^{2} + 4$ $2^{10}\cdot 3^{4}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $25.5358389449$
8.0.216090000.1 $x^{8} - x^{7} + x^{6} + 5 x^{5} - 5 x^{3} + x^{2} + x + 1$ $2^{4}\cdot 3^{2}\cdot 5^{4}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $8.65262670688$
8.0.235929600.1 $x^{8} - 12 x^{6} - 12 x^{5} + 36 x^{4} + 72 x^{3} + 40 x^{2} + 12 x + 9$ $2^{20}\cdot 3^{2}\cdot 5^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $46.6532220118$
8.0.260112384.1 $x^{8} + 8 x^{6} - 4 x^{5} + 15 x^{4} - 16 x^{3} + 12 x^{2} - 16 x + 7$ $2^{16}\cdot 3^{4}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $28.7294165549$
8.0.292410000.1 $x^{8} - 3 x^{7} + 14 x^{6} - 32 x^{5} + 69 x^{4} - 92 x^{3} + 102 x^{2} - 65 x + 31$ $2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 19^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $21.5201134781$
8.0.311169600.1 $x^{8} - 2 x^{7} + 10 x^{6} - 15 x^{5} + 28 x^{4} - 34 x^{3} + 30 x^{2} - 21 x + 7$ $2^{6}\cdot 3^{4}\cdot 5^{2}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $25.8517489962$
8.0.321126400.1 $x^{8} - 4 x^{7} - 2 x^{6} + 16 x^{5} + 8 x^{4} - 28 x^{3} - 16 x^{2} + 24 x + 18$ $2^{18}\cdot 5^{2}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $29.2693093478$
8.0.354041856.1 $x^{8} - 2 x^{6} + 2 x^{4} + 6 x^{2} + 9$ $2^{14}\cdot 3^{2}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $45.1238668218$
8.0.368640000.1 $x^{8} - 2 x^{6} + 2 x^{4} - 6 x^{2} + 9$ $2^{16}\cdot 3^{2}\cdot 5^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $22.5510618362$
8.4.368640000.1 $x^{8} - 2 x^{6} - 8 x^{5} - 5 x^{4} + 8 x^{3} + 12 x^{2} + 4 x - 1$ $2^{16}\cdot 3^{2}\cdot 5^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $19.1206452925$
8.0.368640000.2 $x^{8} - 4 x^{6} + 13 x^{4} - 18 x^{2} + 9$ $2^{16}\cdot 3^{2}\cdot 5^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $25.8562149824$
8.0.392040000.1 $x^{8} - 9 x^{6} - 8 x^{5} + 31 x^{4} + 36 x^{3} - 23 x^{2} - 28 x + 16$ $2^{6}\cdot 3^{4}\cdot 5^{4}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $19.7894026356$
8.0.406425600.1 $x^{8} - 2 x^{7} - 3 x^{6} - 4 x^{5} + 3 x^{4} + 28 x^{3} + 37 x^{2} + 18 x + 3$ $2^{12}\cdot 3^{4}\cdot 5^{2}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $44.1113733575$
8.0.406425600.2 $x^{8} - 2 x^{7} + 7 x^{6} - 20 x^{5} + 42 x^{4} - 58 x^{3} + 52 x^{2} - 28 x + 7$ $2^{12}\cdot 3^{4}\cdot 5^{2}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $17.0095204198$
8.0.424030464.1 $x^{8} - 2 x^{7} - 5 x^{6} + 10 x^{5} + 15 x^{4} - 46 x^{3} - 17 x^{2} + 68 x + 73$ $2^{8}\cdot 3^{4}\cdot 11^{2}\cdot 13^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $55.4013718228$
8.0.462422016.1 $x^{8} - 4 x^{6} - 12 x^{5} + 22 x^{4} + 16 x^{3} + 8 x^{2} - 80 x + 50$ $2^{20}\cdot 3^{2}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $34.4656575278$
8.0.466560000.1 $x^{8} - 6 x^{6} + 27 x^{4} - 54 x^{2} + 36$ $2^{10}\cdot 3^{6}\cdot 5^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $37.2051213015$
8.0.498182400.1 $x^{8} - 2 x^{7} + 7 x^{6} + 2 x^{5} + 9 x^{4} + 52 x^{3} + 28 x^{2} + 80 x + 100$ $2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 31^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $76.6991535639$
8.0.530841600.1 $x^{8} - 10 x^{6} + 62 x^{4} - 140 x^{2} + 100$ $2^{18}\cdot 3^{4}\cdot 5^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $59.8623138231$
8.4.530841600.1 $x^{8} - 4 x^{7} + 6 x^{6} - 4 x^{5} - 4 x^{4} + 4 x^{3} + 4 x^{2} - 2$ $2^{18}\cdot 3^{4}\cdot 5^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $32.9840537964$
8.0.547560000.1 $x^{8} - 7 x^{6} - 10 x^{5} + 3 x^{4} + 20 x^{3} + 63 x^{2} + 110 x + 76$ $2^{6}\cdot 3^{4}\cdot 5^{4}\cdot 13^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $23.6123867585$
8.0.588305025.1 $x^{8} - 3 x^{7} + 6 x^{6} - x^{5} + 19 x^{4} + 9 x^{3} + 22 x^{2} + 7 x + 7$ $3^{4}\cdot 5^{2}\cdot 7^{4}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $27.0901848457$
8.0.635040000.1 $x^{8} - 2 x^{7} - 4 x^{5} - 12 x^{4} + 16 x^{3} + 43 x^{2} + 30 x + 9$ $2^{8}\cdot 3^{4}\cdot 5^{4}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $37.1024770392$
8.4.635040000.1 $x^{8} - 2 x^{7} - 3 x^{6} + 10 x^{5} - 10 x^{4} - 4 x^{3} + 10 x^{2} + 6 x + 1$ $2^{8}\cdot 3^{4}\cdot 5^{4}\cdot 7^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $23.5131647445$
8.0.642318336.1 $x^{8} + 4 x^{6} - 8 x^{5} + 5 x^{4} - 16 x^{3} + 18 x^{2} - 4 x + 7$ $2^{16}\cdot 3^{4}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $50.9840234083$
8.0.642318336.2 $x^{8} - 10 x^{6} + 50 x^{4} - 110 x^{2} + 121$ $2^{16}\cdot 3^{4}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $64.3625443079$
8.0.700131600.1 $x^{8} - x^{7} - 4 x^{6} - x^{5} - 2 x^{4} + x^{3} + 29 x^{2} + 40 x + 16$ $2^{4}\cdot 3^{6}\cdot 5^{2}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $32.1472885275$
8.0.709689600.1 $x^{8} - 6 x^{6} - 14 x^{5} + 46 x^{4} + 30 x^{3} - 29 x^{2} - 172 x + 157$ $2^{8}\cdot 3^{4}\cdot 5^{2}\cdot 37^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $52.8616254518$
8.0.778410000.1 $x^{8} - 3 x^{7} - 7 x^{6} + 20 x^{5} + 21 x^{4} - 55 x^{3} - 27 x^{2} + 98 x + 76$ $2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 31^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $56.0512067291$
8.0.788486400.1 $x^{8} - 4 x^{7} + 5 x^{6} + 8 x^{5} - 41 x^{4} + 70 x^{3} - 22 x^{2} - 164 x + 244$ $2^{8}\cdot 3^{6}\cdot 5^{2}\cdot 13^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $53.3412532416$
8.0.829440000.1 $x^{8} + x^{4} + 4$ $2^{14}\cdot 3^{4}\cdot 5^{4}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $32.6495796895$
8.0.843321600.5 $x^{8} + 3 x^{6} - 12 x^{5} + 8 x^{4} - 18 x^{3} + 35 x^{2} - 18 x + 5$ $2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 11^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $58.2709919166$
8.0.843321600.6 $x^{8} - 4 x^{7} + 5 x^{6} + 4 x^{5} - 12 x^{4} - 2 x^{3} + 24 x^{2} - 20 x + 5$ $2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 11^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $38.7421501542$
8.0.854509824.1 $x^{8} - 2 x^{7} - 9 x^{6} + 24 x^{5} + 36 x^{4} - 110 x^{3} - 109 x^{2} + 184 x + 193$ $2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 29^{2}$ $Q_8:C_2^2$ (as 8T22) trivial $96.5668447014$
8.0.864360000.1 $x^{8} - x^{7} + x^{6} - x^{5} + 4 x^{4} + x^{3} + 3 x^{2} + 10 x + 11$ $2^{6}\cdot 3^{2}\cdot 5^{4}\cdot 7^{4}$ $Q_8:C_2^2$ (as 8T22) trivial $15.8797209264$
8.0.882090000.1 $x^{8} - 3 x^{7} + 4 x^{6} - 9 x^{5} + 30 x^{4} - 27 x^{3} + 25 x^{2} - 126 x + 124$ $2^{4}\cdot 3^{6}\cdot 5^{4}\cdot 11^{2}$ $Q_8:C_2^2$ (as 8T22) $[2]$ $31.8490508623$
Next   displayed columns for results