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Results (1-50 of 17527 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
16.4.60371254156640625.1 $x^{16} - 4 x^{14} - 4 x^{13} + 10 x^{12} + 9 x^{11} - 14 x^{10} - 18 x^{9} + 7 x^{8} + 23 x^{7} + 8 x^{6} - 6 x^{5} - 9 x^{4} - 9 x^{3} + 4 x + 1$ $3^{4}\cdot 5^{8}\cdot 11^{4}\cdot 19^{4}$ $D_4^2:C_2^2$ (as 16T602) trivial $73.3855457794$
16.4.68076302383738701.1 $x^{16} - x^{15} - 2 x^{14} + 2 x^{13} - 7 x^{12} + 5 x^{11} + 29 x^{10} - 19 x^{9} - 50 x^{8} + 28 x^{7} + 49 x^{6} - 22 x^{5} - 28 x^{4} + 9 x^{3} + 9 x^{2} - x - 1$ $3^{4}\cdot 13^{8}\cdot 101^{3}$ $C_4\wr D_4$ (as 16T1432) trivial $78.7602710207$
16.4.80265618516015625.1 $x^{16} - 5 x^{15} + 12 x^{14} - 21 x^{13} + 29 x^{12} - 31 x^{11} + 28 x^{10} - 17 x^{9} - 11 x^{8} + 54 x^{7} - 90 x^{6} + 92 x^{5} - 63 x^{4} + 26 x^{3} - 3 x^{2} - 3 x + 1$ $5^{8}\cdot 7^{4}\cdot 11^{2}\cdot 29^{4}$ $C_2^7:D_4$ (as 16T1116) trivial $86.5273933672$
16.4.83879382375390625.1 $x^{16} - 4 x^{15} + 3 x^{14} + 8 x^{13} - 15 x^{12} + 2 x^{11} + 12 x^{10} - 6 x^{9} - 3 x^{8} - 6 x^{7} + 12 x^{6} + 2 x^{5} - 15 x^{4} + 8 x^{3} + 3 x^{2} - 4 x + 1$ $5^{8}\cdot 19^{2}\cdot 29^{6}$ $C_2^6.D_4$ (as 16T876) trivial $88.8246677776$
16.4.83903202023925689.1 $x^{16} - x^{15} + 5 x^{14} + 2 x^{13} + 4 x^{12} + 17 x^{11} + 7 x^{10} + 13 x^{9} + 24 x^{8} + 11 x^{7} + 9 x^{6} + 14 x^{5} + 2 x^{4} + 2 x^{2} - 2 x - 1$ $89\cdot 421^{2}\cdot 72931^{2}$ $C_2^8.S_8$ (as 16T1948) trivial $88.6792915974$
16.4.89145114978091264.1 $x^{16} - 3 x^{12} - 4 x^{10} + 5 x^{8} + 4 x^{6} - 3 x^{4} + 1$ $2^{8}\cdot 233^{2}\cdot 283^{4}$ $C_{2440}.D_6$ (as 16T1757) trivial $92.8568078998$
16.4.95847903047265625.1 $x^{16} - 3 x^{15} + 3 x^{14} - 5 x^{12} + 7 x^{11} - 3 x^{10} - 4 x^{9} + 7 x^{8} - 4 x^{7} - 3 x^{6} + 7 x^{5} - 5 x^{4} + 3 x^{2} - 3 x + 1$ $5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}$ $C_2^2\wr D_4$ (as 16T1340) trivial $97.2812422552$
16.4.95951257600000000.1 $x^{16} - 2 x^{15} - 2 x^{14} + 14 x^{13} - 20 x^{12} - 10 x^{11} + 42 x^{10} - 26 x^{9} - 26 x^{8} + 26 x^{7} + 42 x^{6} + 10 x^{5} - 20 x^{4} - 14 x^{3} - 2 x^{2} + 2 x + 1$ $2^{24}\cdot 5^{8}\cdot 11^{4}$ $C_2\wr D_4$ (as 16T390) trivial $97.0049358402$
16.4.105970624024377025.1 $x^{16} - x^{15} - 2 x^{14} + 7 x^{13} - 12 x^{12} + 10 x^{11} - x^{10} - 10 x^{9} + 15 x^{8} - 10 x^{7} - x^{6} + 10 x^{5} - 12 x^{4} + 7 x^{3} - 2 x^{2} - x + 1$ $5^{2}\cdot 89^{2}\cdot 731531^{2}$ $C_2^7.S_8$ (as 16T1945) trivial $101.926227719$
16.4.107613222848167936.1 $x^{16} - 2 x^{15} + 4 x^{12} - 24 x^{11} + 58 x^{10} - 100 x^{9} + 130 x^{8} - 138 x^{7} + 130 x^{6} - 108 x^{5} + 93 x^{4} - 74 x^{3} + 38 x^{2} - 10 x + 1$ $2^{24}\cdot 283^{4}$ $C_2^7:S_4$ (as 16T1538) trivial $103.649011624$
16.4.107613222848167936.2 $x^{16} - 2 x^{15} + 2 x^{14} - 10 x^{13} + 9 x^{12} + 16 x^{11} - 24 x^{10} + 2 x^{9} + 6 x^{8} + 12 x^{7} + 6 x^{6} - 36 x^{5} + 4 x^{4} + 20 x^{3} - 6 x^{2} - 2 x + 1$ $2^{24}\cdot 283^{4}$ $C_2^7:S_4$ (as 16T1538) trivial $103.567668852$
16.4.118893936100000000.1 $x^{16} + 3 x^{14} + x^{12} - 6 x^{10} - 7 x^{8} - 2 x^{6} + 4 x^{4} + 4 x^{2} + 1$ $2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 41^{2}$ $C_2^7.C_2\wr D_4$ (as 16T1772) trivial $109.795670429$
16.4.122961997275390625.1 $x^{16} - x^{15} - 5 x^{14} + x^{13} + 11 x^{12} - x^{11} - 15 x^{10} + x^{9} + 15 x^{8} + x^{7} - 15 x^{6} - x^{5} + 11 x^{4} + x^{3} - 5 x^{2} - x + 1$ $5^{10}\cdot 11^{2}\cdot 101^{4}$ $C_2^7.D_4$ (as 16T1174) trivial $111.742003197$
16.4.124470628948573741.1 $x^{16} - x^{15} - 2 x^{14} - 4 x^{13} + 6 x^{12} + 9 x^{11} - 4 x^{10} - 24 x^{9} - 19 x^{8} + 23 x^{7} + 37 x^{6} + 10 x^{5} - 24 x^{4} - 19 x^{3} + 6 x^{2} + 5 x - 1$ $41^{2}\cdot 83^{2}\cdot 1289^{2}\cdot 6469$ $C_2^8.S_8$ (as 16T1948) trivial $112.097283421$
16.4.125585627375390625.1 $x^{16} - 2 x^{15} + 5 x^{14} - 10 x^{13} + 14 x^{12} - 17 x^{11} + 16 x^{10} - 8 x^{9} - 10 x^{8} + 31 x^{7} - 50 x^{6} + 61 x^{5} - 59 x^{4} + 43 x^{3} - 22 x^{2} + 7 x - 1$ $3^{4}\cdot 5^{8}\cdot 251^{4}$ $C_2^4:(C_2\times S_4)$ (as 16T1049) trivial $113.157375097$
16.4.135895449600000000.1 $x^{16} - 2 x^{14} - 11 x^{12} + 4 x^{10} + 6 x^{8} - 34 x^{6} - 36 x^{4} - 8 x^{2} + 1$ $2^{32}\cdot 3^{4}\cdot 5^{8}$ $D_4:D_4$ (as 16T115) trivial $117.610418303$
16.4.146031297540653056.1 $x^{16} - 6 x^{14} + 21 x^{12} - 40 x^{10} + 50 x^{8} - 30 x^{6} + 8 x^{4} - 4 x^{2} + 1$ $2^{32}\cdot 7^{6}\cdot 17^{2}$ $C_2^7.D_4$ (as 16T1177) trivial $124.495738348$
16.4.154803089776953125.1 $x^{16} - x^{15} - x^{14} + 7 x^{13} - 14 x^{12} + 11 x^{11} + 5 x^{10} - 24 x^{9} + 33 x^{8} - 24 x^{7} + 5 x^{6} + 11 x^{5} - 14 x^{4} + 7 x^{3} - x^{2} - x + 1$ $5^{8}\cdot 29^{5}\cdot 139^{2}$ $C_2\wr D_4.C_4$ (as 16T1702) trivial $126.475240523$
16.4.156836523556077997.1 $x^{16} - 5 x^{15} + 11 x^{14} - 17 x^{13} + 19 x^{12} - 11 x^{11} - 6 x^{10} + 24 x^{9} - 31 x^{8} + 24 x^{7} - 6 x^{6} - 11 x^{5} + 19 x^{4} - 17 x^{3} + 11 x^{2} - 5 x + 1$ $37\cdot 89^{2}\cdot 731531^{2}$ $C_2^8.S_8$ (as 16T1948) trivial $126.779651047$
16.4.163840814805078125.1 $x^{16} - 2 x^{15} + 3 x^{14} + x^{13} - 9 x^{12} + 12 x^{11} - 5 x^{10} - 22 x^{9} + 32 x^{8} + 10 x^{7} - 27 x^{6} - x^{5} + 6 x^{4} + 5 x^{3} - x^{2} - 3 x + 1$ $5^{8}\cdot 11^{2}\cdot 13^{2}\cdot 29^{5}$ $C_2\wr D_4.D_4$ (as 16T1779) trivial $130.781749776$
16.4.165855107822265625.1 $x^{16} - 2 x^{15} + x^{14} - 3 x^{12} + 5 x^{11} - 8 x^{10} + 34 x^{9} - 24 x^{8} - 31 x^{7} + 32 x^{5} + 15 x^{4} - 16 x^{3} - 8 x^{2} + 2 x + 1$ $5^{10}\cdot 19^{8}$ $C_2^3.D_8$ (as 16T339) trivial $132.64007341$
16.4.166581322179183497.1 $x^{16} - 4 x^{15} + 7 x^{14} - 5 x^{13} - 6 x^{12} + 20 x^{11} - 28 x^{10} + 26 x^{9} - 19 x^{8} + 10 x^{7} + 3 x^{6} - 16 x^{5} + 21 x^{4} - 14 x^{3} + 3 x^{2} + x - 1$ $1609\cdot 15809\cdot 31393\cdot 208609$ $S_{16}$ (as 16T1954) trivial $131.22830925$
16.4.169818168100000000.1 $x^{16} - 4 x^{14} + 10 x^{12} - 16 x^{10} + 5 x^{8} + 12 x^{6} - 7 x^{4} - x^{2} + 1$ $2^{8}\cdot 5^{8}\cdot 7^{4}\cdot 29^{4}$ $C_2^2.C_2\wr C_2^3$ (as 16T1701) trivial $134.887115116$
16.4.173722240000000000.1 $x^{16} - 2 x^{15} - 3 x^{14} + 4 x^{13} + 6 x^{12} + 8 x^{11} - 18 x^{10} - 28 x^{9} + 30 x^{8} + 30 x^{7} - 17 x^{6} - 22 x^{5} - 2 x^{4} + 14 x^{3} + 3 x^{2} - 4 x - 1$ $2^{16}\cdot 5^{10}\cdot 521^{2}$ $C_2^2\wr C_2^2.C_4$ (as 16T1559) trivial $136.31218905$
16.4.188981478400000000.1 $x^{16} - 2 x^{15} + 3 x^{14} - 7 x^{12} + 10 x^{11} + 4 x^{10} - 22 x^{9} + 17 x^{8} + 20 x^{7} - 36 x^{6} + 28 x^{4} - 8 x^{3} - 10 x^{2} + 2 x + 1$ $2^{16}\cdot 5^{8}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}$ $C_2^7.C_2\wr D_4$ (as 16T1772) trivial $145.296666367$
16.4.190802976100000000.1 $x^{16} - 2 x^{14} - 3 x^{12} + 2 x^{10} + 3 x^{8} + 2 x^{6} - 3 x^{4} - 2 x^{2} + 1$ $2^{8}\cdot 5^{8}\cdot 11^{4}\cdot 19^{4}$ $D_4^2:D_4$ (as 16T919) trivial $147.429260237$
16.4.194392038625390625.1 $x^{16} - 7 x^{15} + 23 x^{14} - 45 x^{13} + 55 x^{12} - 32 x^{11} - 28 x^{10} + 94 x^{9} - 123 x^{8} + 94 x^{7} - 28 x^{6} - 32 x^{5} + 55 x^{4} - 45 x^{3} + 23 x^{2} - 7 x + 1$ $5^{8}\cdot 29^{4}\cdot 41\cdot 131^{2}$ $C_4^4.C_2\wr D_4$ (as 16T1823) trivial $145.972544001$
16.4.202963613851988224.1 $x^{16} - 5 x^{14} + 7 x^{12} + 2 x^{10} - 11 x^{8} + 8 x^{6} - 6 x^{4} + 4 x^{2} + 1$ $2^{8}\cdot 257^{2}\cdot 331^{4}$ $C_2\wr C_2^3.S_4$ (as 16T1852) trivial $152.42521367$
16.4.223291098234765625.1 $x^{16} - 4 x^{14} - 5 x^{13} + 4 x^{12} + 10 x^{11} + x^{10} - 5 x^{9} - 5 x^{8} - 5 x^{7} + x^{6} + 10 x^{5} + 4 x^{4} - 5 x^{3} - 4 x^{2} + 1$ $5^{8}\cdot 29^{6}\cdot 31^{2}$ $C_2^6.D_4$ (as 16T876) trivial $156.350498987$
16.4.232292068597265625.1 $x^{16} - x^{15} + 5 x^{14} - x^{13} + x^{11} - 19 x^{10} - 13 x^{9} - 20 x^{8} - 11 x^{7} + 17 x^{6} + 35 x^{5} + 46 x^{4} + 36 x^{3} + 22 x^{2} + 4 x - 1$ $3^{6}\cdot 5^{8}\cdot 13^{8}$ $D_8:C_2$ (as 16T44) trivial $167.322044256$
16.4.232322192503515625.1 $x^{16} - 3 x^{15} + 2 x^{14} + 7 x^{13} - 15 x^{12} + 12 x^{11} - 6 x^{10} + 16 x^{9} - 24 x^{8} - 5 x^{7} + 67 x^{6} - 114 x^{5} + 110 x^{4} - 70 x^{3} + 30 x^{2} - 8 x + 1$ $5^{8}\cdot 7^{2}\cdot 29^{4}\cdot 131^{2}$ $C_2^7.C_2\wr D_4$ (as 16T1772) trivial $155.818339721$
16.4.233622440259572809.1 $x^{16} - 2 x^{15} + 2 x^{14} - x^{13} - x^{12} + 2 x^{11} - 2 x^{10} + x^{9} - x^{8} + x^{7} - 2 x^{6} + 2 x^{5} - x^{4} - x^{3} + 2 x^{2} - 2 x + 1$ $483345053^{2}$ $C_2^7.S_8$ (as 16T1945) trivial $160.42279475$
16.4.243112369495703125.1 $x^{16} - x^{15} - 3 x^{14} + x^{13} + x^{12} - 3 x^{10} + 2 x^{9} - 4 x^{8} + 11 x^{7} + 13 x^{6} - 25 x^{5} - 4 x^{4} + 13 x^{3} - 2 x^{2} - 2 x + 1$ $5^{8}\cdot 11^{4}\cdot 349^{3}$ $C_4\wr D_4$ (as 16T1432) trivial $160.28330134$
16.4.258568322619479941.1 $x^{16} - 6 x^{15} + 13 x^{14} - 7 x^{13} - 20 x^{12} + 42 x^{11} - 31 x^{10} + 4 x^{9} + 8 x^{8} - 7 x^{7} + 5 x^{6} - 3 x^{5} + 2 x^{4} - x^{3} - 2 x^{2} + 2 x + 1$ $61\cdot 89^{2}\cdot 731531^{2}$ $C_2^8.S_8$ (as 16T1948) trivial $167.891629735$
16.4.265744202146140061.1 $x^{16} - 2 x^{15} + 3 x^{14} - 5 x^{13} - x^{12} + 19 x^{11} - 33 x^{10} + 35 x^{9} - 38 x^{8} + 3 x^{7} + 75 x^{6} - 99 x^{5} + 38 x^{4} + 12 x^{3} - 10 x^{2} + 1$ $2011^{2}\cdot 2137^{2}\cdot 14389$ $C_2^8.S_8$ (as 16T1948) trivial $176.045678035$
16.4.266190858984765625.1 $x^{16} - 4 x^{14} + 2 x^{12} - 7 x^{11} + x^{10} + 6 x^{9} - 20 x^{8} - 22 x^{7} - 7 x^{6} - 14 x^{5} - 9 x^{4} + 14 x^{3} + 19 x^{2} + 8 x + 1$ $5^{8}\cdot 31^{4}\cdot 859^{2}$ $C_2^6.S_4^2:C_2^2$ (as 16T1884) trivial $170.623593629$
16.4.266190858984765625.2 $x^{16} - 5 x^{15} + 10 x^{14} - 13 x^{13} + 19 x^{12} - 24 x^{11} + 16 x^{10} - 3 x^{9} - 11 x^{8} + 27 x^{7} - 28 x^{6} + 15 x^{5} - 3 x^{4} - 8 x^{3} + 11 x^{2} - 4 x - 1$ $5^{8}\cdot 31^{4}\cdot 859^{2}$ $S_4^2:D_4$ (as 16T1648) trivial $171.31743673$
16.4.267302963318358016.1 $x^{16} - 4 x^{15} + 6 x^{14} - 11 x^{12} + 16 x^{11} - 8 x^{10} - 8 x^{9} + 4 x^{8} + 56 x^{7} - 134 x^{6} + 144 x^{5} - 86 x^{4} + 24 x^{3} + 2 x^{2} - 4 x + 1$ $2^{32}\cdot 7^{6}\cdot 23^{2}$ $C_2^7.D_4$ (as 16T1177) trivial $175.169474385$
16.4.269062009266015625.1 $x^{16} - 5 x^{15} + 12 x^{14} - 15 x^{13} + 7 x^{12} + 7 x^{11} - 9 x^{10} - 7 x^{9} + 17 x^{8} + 7 x^{7} - 21 x^{6} - 2 x^{5} + 10 x^{4} + 3 x^{3} - 6 x^{2} - x + 1$ $5^{8}\cdot 11^{4}\cdot 19^{6}$ $D_4:D_4$ (as 16T126) trivial $173.723062561$
16.4.270233625600000000.1 $x^{16} - 8 x^{15} + 34 x^{14} - 98 x^{13} + 206 x^{12} - 326 x^{11} + 380 x^{10} - 294 x^{9} + 53 x^{8} + 254 x^{7} - 476 x^{6} + 506 x^{5} - 367 x^{4} + 184 x^{3} - 61 x^{2} + 12 x - 1$ $2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 19^{4}$ $C_2^5:D_4$ (as 16T573) trivial $179.552841887$
16.4.278674794952523776.1 $x^{16} - 6 x^{12} - 5 x^{8} + 10 x^{4} + 1$ $2^{24}\cdot 359^{4}$ $C_4^3:(C_2\times S_4)$ (as 16T1535) trivial $178.085107913$
16.4.286267801600000000.1 $x^{16} - 6 x^{14} + 11 x^{12} + 8 x^{10} - 39 x^{8} + 8 x^{6} + 11 x^{4} - 6 x^{2} + 1$ $2^{24}\cdot 5^{8}\cdot 11^{2}\cdot 19^{2}$ $C_2^2\wr D_4$ (as 16T1340) trivial $192.185945828$
16.4.286267801600000000.2 $x^{16} + 6 x^{14} + 11 x^{12} - 8 x^{10} - 39 x^{8} - 8 x^{6} + 11 x^{4} + 6 x^{2} + 1$ $2^{24}\cdot 5^{8}\cdot 11^{2}\cdot 19^{2}$ $C_2^2\wr D_4$ (as 16T1340) trivial $186.14724097$
16.4.286362324116320597.1 $x^{16} - 2 x^{15} + 6 x^{13} - 6 x^{12} + 2 x^{11} - 8 x^{10} + 6 x^{9} + x^{8} + 3 x^{7} - 7 x^{6} + 8 x^{5} - 12 x^{4} + 13 x^{3} - 5 x^{2} + 1$ $5120891\cdot 55920409967$ $S_{16}$ (as 16T1954) trivial $178.343327282$
16.4.289217423320703125.1 $x^{16} - x^{15} - 5 x^{14} + 12 x^{13} - 2 x^{12} - 22 x^{11} + 28 x^{10} - 4 x^{9} - 13 x^{8} - 4 x^{7} + 28 x^{6} - 22 x^{5} - 2 x^{4} + 12 x^{3} - 5 x^{2} - x + 1$ $5^{8}\cdot 29^{4}\cdot 61\cdot 131^{2}$ $C_4^4.C_2\wr D_4$ (as 16T1823) trivial $181.198740019$
16.4.311502095702824709.1 $x^{16} - x^{15} - 6 x^{14} + 6 x^{13} + 11 x^{12} - 13 x^{11} - 2 x^{10} + 15 x^{9} - 9 x^{8} - 15 x^{7} - 2 x^{6} + 13 x^{5} + 11 x^{4} - 6 x^{3} - 6 x^{2} + x + 1$ $23^{2}\cdot 563^{4}\cdot 5861$ $C_4^4.C_2\wr S_4$ (as 16T1879) trivial $191.193924186$
16.4.318801818760934469.1 $x^{16} - 3 x^{15} + 5 x^{14} - 4 x^{13} - 4 x^{12} + 11 x^{11} - 6 x^{10} - 14 x^{9} + 41 x^{8} - 49 x^{7} + 36 x^{6} - 12 x^{5} - 7 x^{4} + 12 x^{3} - 10 x^{2} + 5 x - 1$ $31\cdot 59\cdot 11549\cdot 15092552789$ $S_{16}$ (as 16T1954) trivial $190.861055168$
16.4.337785448547265625.1 $x^{16} - 2 x^{15} + x^{14} + 4 x^{13} - 5 x^{12} + 3 x^{11} + 2 x^{10} + 7 x^{9} + 13 x^{8} - 5 x^{7} + 14 x^{6} + 26 x^{5} + 7 x^{4} - 11 x^{3} - 16 x^{2} - 7 x - 1$ $5^{8}\cdot 79^{4}\cdot 149^{2}$ $S_4^2:D_4$ (as 16T1648) trivial $196.239939932$
16.4.342273435258203125.1 $x^{16} - x^{15} + x^{14} - 2 x^{13} + x^{12} + 2 x^{11} - 9 x^{10} + 16 x^{9} - 19 x^{8} + 16 x^{7} - 9 x^{6} + 2 x^{5} + x^{4} - 2 x^{3} + x^{2} - x + 1$ $5^{8}\cdot 61\cdot 119851^{2}$ $C_2^6.S_4^2:D_4$ (as 16T1905) trivial $199.970634248$
16.4.350749278894882816.1 $x^{16} - 2 x^{15} + x^{14} + 2 x^{13} - 13 x^{12} + 12 x^{10} + 7 x^{8} + 12 x^{6} - 13 x^{4} + 2 x^{3} + x^{2} - 2 x + 1$ $2^{16}\cdot 3^{8}\cdot 13^{8}$ $C_4^2:D_4$ (as 16T382) trivial $218.035986284$
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