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Results (displaying all 32 matches)

Label Polynomial Discriminant Galois group Class group
6.0.666962499705409191375.1 x6 - 3x5 - 10029x4 - 263493x3 + 27354072x2 + 1540417020x + 22520129696 \( -\,3^{8}\cdot 5^{3}\cdot 7^{5}\cdot 13^{5}\cdot 19^{4} \) $C_6$ (as 6T1) $[3, 3, 3, 3, 3, 18, 8190]$ (GRH)
6.0.4038712184239968337947.1 x6 + x4 - 73727x2 + 452984832 \( -\,3^{3}\cdot 13^{4}\cdot 47^{4}\cdot 181^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 702, 702]$ (GRH)
6.0.7727379786207456600267.1 x6 + x4 - 86711x2 + 626580912 \( -\,3^{3}\cdot 7^{4}\cdot 17^{4}\cdot 1093^{4} \) $S_3$ (as 6T2) $[6, 6, 372, 1116]$ (GRH)
6.0.9039759615677114306667.1 x6 + x4 - 90179x2 + 677702700 \( -\,3^{3}\cdot 17^{4}\cdot 73^{4}\cdot 109^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 1143, 1143]$ (GRH)
6.0.10953436997874693548187.1 x6 - 3x5 + 6x4 + 94607x3 - 141915x2 - 141924x + 2238046864 \( -\,3^{11}\cdot 13^{4}\cdot 1213^{4} \) $S_3$ (as 6T2) $[3, 3, 735, 2205]$ (GRH)
6.0.15410603129491228573872.1 x6 + 884838828 \( -\,2^{4}\cdot 3^{11}\cdot 31^{4}\cdot 277^{4} \) $S_3$ (as 6T2) $[3, 3, 6, 6, 114, 342]$ (GRH)
6.0.29600300339450887234347.1 x6 - 3x5 + 4x4 - 3x3 - 60653x2 + 60654x + 1226302572 \( -\,3^{3}\cdot 19^{4}\cdot 61^{4}\cdot 157^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 735, 735]$ (GRH)
6.0.30621503739225077078643.1 x6 - 35317x3 + 44050558200013 \( -\,3^{9}\cdot 35317^{4} \) $C_6$ (as 6T1) $[6, 6, 30, 16410]$ (GRH)
6.0.34060398829422910760907.1 x6 - 3x5 + 4x4 - 3x3 - 62819x2 + 62820x + 1315450800 \( -\,3^{3}\cdot 7^{4}\cdot 13^{4}\cdot 19^{4}\cdot 109^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 3, 354, 354]$ (GRH)
6.0.59884547451490237421232.1 x6 - 3x5 + 6x4 + 144669x3 - 217008x2 - 217017x + 5232930921 \( -\,2^{4}\cdot 3^{7}\cdot 7^{4}\cdot 5167^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 612, 612]$ (GRH)
6.0.72449856531798127834032.1 x6 - 3x5 + 6x4 + 151725x3 - 227592x2 - 227601x + 5755801689 \( -\,2^{4}\cdot 3^{7}\cdot 7^{4}\cdot 5419^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 666, 666]$ (GRH)
6.0.105072746302804719616875.1 x6 - 3x5 + 6x4 + 832543x3 - 1248819x2 - 1248828x + 173285708176 \( -\,3^{7}\cdot 5^{4}\cdot 16651^{4} \) $S_3$ (as 6T2) $[2, 6, 1548, 1548]$ (GRH)
6.0.137927869762935648166875.1 x6 - 3x5 + 6x4 + 178223x3 - 267339x2 - 267348x + 7941661456 \( -\,3^{11}\cdot 5^{4}\cdot 13^{4}\cdot 457^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 231, 693]$ (GRH)
6.0.150066562433717068059375.1 x6 + 1478295 \( -\,3^{10}\cdot 5^{5}\cdot 7^{5}\cdot 13^{5}\cdot 19^{4} \) $D_{6}$ (as 6T3) $[3, 3, 6, 6, 72, 1080]$ (GRH)
6.0.164763093048738239266875.1 x6 - 3x5 + 6x4 + 186323x3 - 279489x2 - 279498x + 8679903556 \( -\,3^{11}\cdot 5^{4}\cdot 6211^{4} \) $S_3$ (as 6T2) $[3, 9, 990, 990]$ (GRH)
6.0.198551646349438516151472.1 x6 - 3x5 + 4x4 - 3x3 - 195224x2 + 195225x + 12704266875 \( -\,2^{4}\cdot 3^{3}\cdot 7^{4}\cdot 13^{4}\cdot 1609^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 429, 1287]$ (GRH)
6.0.218391067782294490287792.1 x6 - 3x5 + 4x4 - 3x3 - 199928x2 + 199929x + 13323868347 \( -\,2^{4}\cdot 3^{3}\cdot 7^{4}\cdot 31^{4}\cdot 691^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 3, 294, 294]$ (GRH)
6.0.278298213467874667470000.1 x6 - 3x5 + 6x4 + 424833x3 - 637254x2 - 637263x + 45122681241 \( -\,2^{4}\cdot 3^{7}\cdot 5^{4}\cdot 13^{4}\cdot 19^{4}\cdot 43^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 3, 6, 6, 42, 42]$ (GRH)
6.0.286680761872911663511203.1 x6 - 61777x3 + 235765602504433 \( -\,3^{9}\cdot 163^{4}\cdot 379^{4} \) $C_6$ (as 6T1) $[3, 3, 3, 3, 3, 3, 58653]$ (GRH)
6.0.303058187263987335900963.1 x6 - 62641x3 + 245796699240721 \( -\,3^{9}\cdot 37^{4}\cdot 1693^{4} \) $C_6$ (as 6T1) $[3, 3, 12, 12, 36, 684]$ (GRH)
6.0.317992113503391600270000.1 x6 - 3x5 + 6x4 + 439233x3 - 658854x2 - 658863x + 48233383641 \( -\,2^{4}\cdot 3^{7}\cdot 5^{4}\cdot 79^{4}\cdot 139^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 3, 288, 288]$ (GRH)
6.0.462527096236404265312587.1 x6 - 3x5 + 6x4 + 4582527x3 - 6873795x2 - 6873804x + 5249909047824 \( -\,3^{7}\cdot 11^{4}\cdot 19^{4}\cdot 577^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 3, 387, 387]$ (GRH)
6.0.2883569911983446978703843.1 x6 - 110017x3 + 1331617195374913 \( -\,3^{9}\cdot 110017^{4} \) $C_6$ (as 6T1) $[12, 4285092]$ (GRH)
6.2.3459612694664949600960000.1 x6 - 4602x4 - 35490x3 + 7059468x2 - 163324980x - 3294856279 \( 2^{9}\cdot 3^{10}\cdot 5^{4}\cdot 7^{4}\cdot 13^{5}\cdot 59^{3} \) $D_{6}$ (as 6T3) $[3, 3, 42, 27300]$ (GRH)
6.0.4094671299178657790511792.1 x6 + 57693098928 \( -\,2^{4}\cdot 3^{11}\cdot 37^{4}\cdot 937^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 468, 1404]$ (GRH)
6.0.4409496538448411099324592.1 x6 + 59869943472 \( -\,2^{4}\cdot 3^{11}\cdot 35317^{4} \) $S_3$ (as 6T2) $[6, 6, 900, 2700]$ (GRH)
6.0.14060108353356563488013232.1 x6 - 3x5 + 6x4 + 566317x3 - 849480x2 - 849489x + 80181284569 \( -\,2^{4}\cdot 3^{7}\cdot 11^{4}\cdot 61^{4}\cdot 211^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 6, 6, 300, 300]$ (GRH)
6.0.15871954977200820975195312.1 x6 - 3x5 + 6x4 + 583741x3 - 875616x2 - 875625x + 85191015625 \( -\,2^{4}\cdot 3^{7}\cdot 11^{4}\cdot 13267^{4} \) $S_3$ (as 6T2) $[3, 6, 6, 912, 912]$ (GRH)
6.2.17094879279465894849600000.1 x6 - 6030x4 - 53550x3 + 12120300x2 - 322906500x - 7403700375 \( 2^{9}\cdot 3^{11}\cdot 5^{5}\cdot 7^{4}\cdot 17^{4}\cdot 67^{3} \) $D_{6}$ (as 6T3) $[2, 12, 12, 35664]$ (GRH)
6.0.41282029709699279545613232.1 x6 - 3x5 + 6x4 + 741317x3 - 1111980x2 - 1111989x + 137391059569 \( -\,2^{4}\cdot 3^{11}\cdot 163^{4}\cdot 379^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3, 3, 609, 609]$ (GRH)
6.2.85230795183543158110714368.1 x6 - 7854x4 - 79186x3 + 20561772x2 - 621926844x - 16375967383 \( 2^{9}\cdot 3^{6}\cdot 7^{3}\cdot 11^{3}\cdot 17^{5}\cdot 137^{4} \) $D_{6}$ (as 6T3) $[2, 2, 2, 4, 466272]$ (GRH)
6.2.430205471990113348029676032.1 x6 - 40683782568 \( 2^{9}\cdot 3^{11}\cdot 11^{3}\cdot 13^{5}\cdot 313^{4} \) $D_{6}$ (as 6T3) $[2, 2, 2, 24, 132720]$ (GRH)


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