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Results (1-50 of 81101 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.3905625025.1 $x^{4} + 143 x^{2} + 20736$ $5^{2}\cdot 29^{2}\cdot 431^{2}$ $C_2^2$ (as 4T2) $[2, 6, 840]$ $6.359570875399758$
4.0.6558307225.1 $x^{4} - 2 x^{3} + 355 x^{2} - 354 x + 19584$ $5^{2}\cdot 29^{2}\cdot 73\cdot 4273$ $D_{4}$ (as 4T3) $[10872]$ $6.359570875399758$
4.0.6850975225.1 $x^{4} - x^{3} + 653 x^{2} - 2447 x + 88194$ $5^{2}\cdot 29^{2}\cdot 325849$ $D_{4}$ (as 4T3) $[15080]$ $6.359570875399758$
4.0.9176172025.1 $x^{4} - x^{3} + 707 x^{2} + 1441 x + 115356$ $5^{2}\cdot 17\cdot 29^{2}\cdot 25673$ $D_{4}$ (as 4T3) $[13288]$ $6.359570875399758$
4.0.10612263625.4 $x^{4} - x^{3} + 2121 x^{2} + 9 x + 1155006$ $5^{3}\cdot 29^{3}\cdot 59^{2}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 680]$ $6.359570875399758$
4.0.11200953025.1 $x^{4} - x^{3} + 383 x^{2} + 1513 x + 58584$ $5^{2}\cdot 101^{2}\cdot 167\cdot 263$ $D_{4}$ (as 4T3) $[10728]$ $14.777891431272318$
4.0.11606830225.1 $x^{4} + 299 x^{2} + 49284$ $5^{2}\cdot 29^{2}\cdot 743^{2}$ $C_2^2$ (as 4T2) $[3, 4536]$ $6.359570875399758$
4.0.11809386241.1 $x^{4} - 65 x^{2} + 28224$ $271^{2}\cdot 401^{2}$ $C_2^2$ (as 4T2) $[5, 2805]$ $7.379007737977811$
4.0.12161514225.2 $x^{4} - x^{3} - 96 x^{2} - 240 x + 57600$ $3\cdot 5^{2}\cdot 7\cdot 109\cdot 461^{2}$ $D_{4}$ (as 4T3) $[8, 1696]$ $9.128913361511804$
4.0.13135175505.1 $x^{4} - x^{3} + 622 x^{2} - 4968 x + 186240$ $3^{2}\cdot 5\cdot 229\cdot 1129^{2}$ $D_{4}$ (as 4T3) $[2, 18, 324]$ $11.634240035110537$
4.0.13363679225.1 $x^{4} - x^{3} + 2059 x^{2} - 12575 x + 180820$ $5^{2}\cdot 13^{2}\cdot 29^{2}\cdot 3761$ $D_{4}$ (as 4T3) $[4, 3112]$ $6.359570875399758$
4.0.13530567489.1 $x^{4} - 2 x^{3} + 783 x^{2} - 782 x + 23056$ $3\cdot 19\cdot 23\cdot 31\cdot 577^{2}$ $D_{4}$ (as 4T3) $[2, 2, 3080]$ $7.743269512775463$
4.0.14194419025.1 $x^{4} - x^{3} + 815 x^{2} - 1223 x + 176664$ $5^{2}\cdot 17\cdot 29^{2}\cdot 151\cdot 263$ $D_{4}$ (as 4T3) $[8, 1792]$ $6.359570875399758$
4.0.14244220025.1 $x^{4} - 2 x^{3} + 619 x^{2} - 618 x + 37856$ $5^{2}\cdot 7\cdot 383\cdot 461^{2}$ $D_{4}$ (as 4T3) $[10016]$ $9.128913361511804$
4.0.15078478225.1 $x^{4} - x^{3} + 833 x^{2} + 73 x + 187014$ $5^{2}\cdot 29^{2}\cdot 127\cdot 5647$ $D_{4}$ (as 4T3) $[22648]$ $6.359570875399758$
4.0.15539969441.1 $x^{4} - x^{3} + 652 x^{2} - 3584 x + 115712$ $241\cdot 401^{3}$ $D_{4}$ (as 4T3) $[10010]$ $7.379007737977811$
4.0.15552833521.1 $x^{4} - 45 x^{2} + 31684$ $311^{2}\cdot 401^{2}$ $C_2^2$ (as 4T2) $[12160]$ $7.379007737977811$
4.0.15717245161.1 $x^{4} - x^{3} + 275 x^{2} - 3383 x + 26436$ $17\cdot 577^{2}\cdot 2777$ $D_{4}$ (as 4T3) $[15904]$ $7.743269512775463$
4.0.16244777025.1 $x^{4} + 367 x^{2} + 65536$ $3^{2}\cdot 5^{2}\cdot 29^{2}\cdot 293^{2}$ $C_2^2$ (as 4T2) $[4, 8, 352]$ $6.359570875399758$
4.0.16591834777.1 $x^{4} - x^{3} + 1133 x^{2} + 12241 x + 188514$ $7^{2}\cdot 17^{3}\cdot 41^{3}$ $C_4$ (as 4T1) $[2, 2, 3900]$ $11.151926901726478$
4.0.16766197025.1 $x^{4} - 2 x^{3} + 561 x^{2} - 560 x + 49980$ $5^{2}\cdot 29^{2}\cdot 113\cdot 7057$ $D_{4}$ (as 4T3) $[3, 3816]$ $6.359570875399758$
4.0.16898402225.1 $x^{4} - x^{3} + 883 x^{2} - 967 x + 209364$ $5^{2}\cdot 29^{2}\cdot 803729$ $D_{4}$ (as 4T3) $[12728]$ $6.359570875399758$
4.0.17698520889.1 $x^{4} - x^{3} + 391 x^{2} + 8073 x + 73008$ $3^{2}\cdot 7\cdot 167\cdot 1297^{2}$ $D_{4}$ (as 4T3) $[2, 22, 264]$ $8.553717928916416$
4.0.17794403625.1 $x^{4} - 2 x^{3} + 1389 x^{2} - 1388 x + 476416$ $3\cdot 5^{3}\cdot 17\cdot 29^{2}\cdot 3319$ $D_{4}$ (as 4T3) $[2, 4, 1720]$ $6.359570875399758$
4.0.17941210881.2 $x^{4} - x^{3} + 1324 x^{2} + 420 x + 536448$ $3\cdot 11\cdot 23\cdot 71\cdot 577^{2}$ $D_{4}$ (as 4T3) $[2, 2, 3514]$ $7.743269512775463$
4.0.18096659025.1 $x^{4} - 2 x^{3} + 1395 x^{2} - 1394 x + 484504$ $3\cdot 5^{2}\cdot 29^{2}\cdot 113\cdot 2539$ $D_{4}$ (as 4T3) $[2, 5240]$ $6.359570875399758$
4.0.19026468625.1 $x^{4} - x^{3} + 2846 x^{2} + 11464 x + 927936$ $5^{3}\cdot 29^{3}\cdot 79^{2}$ $C_4$ (as 4T1) $[2, 2, 8, 680]$ $6.359570875399758$
4.0.19338143225.1 $x^{4} - x^{3} + 943 x^{2} - 127 x + 238704$ $5^{2}\cdot 29^{2}\cdot 919769$ $D_{4}$ (as 4T3) $[12952]$ $6.359570875399758$
4.0.19699268625.1 $x^{4} - 2 x^{3} + 1539 x^{2} - 1538 x + 527416$ $3^{2}\cdot 5^{3}\cdot 29^{2}\cdot 47\cdot 443$ $D_{4}$ (as 4T3) $[2, 2, 8, 360]$ $6.359570875399758$
4.0.19858217625.1 $x^{4} - 2 x^{3} + 1059 x^{2} - 1058 x + 59296$ $3^{2}\cdot 5^{3}\cdot 29^{2}\cdot 139\cdot 151$ $D_{4}$ (as 4T3) $[2, 2, 2, 1400]$ $6.359570875399758$
4.0.19906068497.1 $x^{4} - x^{3} + 736 x^{2} + 620 x + 257952$ $7\cdot 23\cdot 97\cdot 1129^{2}$ $D_{4}$ (as 4T3) $[6, 1854]$ $11.634240035110537$
4.0.20614781225.1 $x^{4} - x^{3} + 973 x^{2} - 287 x + 254194$ $5^{2}\cdot 29^{2}\cdot 980489$ $D_{4}$ (as 4T3) $[15800]$ $6.359570875399758$
4.0.20724193681.1 $x^{4} - 21 x^{2} + 36100$ $359^{2}\cdot 401^{2}$ $C_2^2$ (as 4T2) $[11305]$ $7.379007737977811$
4.0.20833169569.3 $x^{4} + 1559 x^{2} + 571536$ $37^{2}\cdot 47^{2}\cdot 83^{2}$ $C_2^2$ (as 4T2) $[2, 6080]$ $14.385865050487034$
4.0.21001977625.2 $x^{4} - x^{3} + 2991 x^{2} + 9 x + 2274696$ $5^{3}\cdot 29^{3}\cdot 83^{2}$ $C_4$ (as 4T1) $[2, 2, 2, 2248]$ $6.359570875399758$
4.0.21394849185.1 $x^{4} - x^{3} + 637 x^{2} + 105 x + 210858$ $3^{2}\cdot 5\cdot 373\cdot 1129^{2}$ $D_{4}$ (as 4T3) $[2, 18, 306]$ $11.634240035110537$
4.0.21773658481.4 $x^{4} + 1779 x^{2} + 828100$ $41^{2}\cdot 59^{2}\cdot 61^{2}$ $C_2^2$ (as 4T2) $[2, 6, 858]$ $8.31825426925236$
4.0.22200038649.1 $x^{4} - 2 x^{3} + 195 x^{2} - 194 x + 4216$ $3^{2}\cdot 31\cdot 239\cdot 577^{2}$ $D_{4}$ (as 4T3) $[2, 2, 2562]$ $7.743269512775463$
4.0.22705667856.1 $x^{4} + 6277 x^{2} + 9859600$ $2^{4}\cdot 3^{2}\cdot 29^{2}\cdot 433^{2}$ $C_2^2$ (as 4T2) $[2, 2, 2726]$ $2.6339157938496336$
4.0.22872572625.1 $x^{4} - 2 x^{3} + 449 x^{2} - 448 x + 13296$ $3\cdot 5^{3}\cdot 7\cdot 41\cdot 461^{2}$ $D_{4}$ (as 4T3) $[2, 2, 4320]$ $9.128913361511804$
4.0.23025115024.2 $x^{4} + 1129 x^{2} + 112900$ $2^{4}\cdot 1129^{3}$ $C_4$ (as 4T1) $[2, 5202]$ $11.6342400351$
4.0.23410265225.1 $x^{4} - 2 x^{3} + 615 x^{2} - 614 x + 69744$ $5^{2}\cdot 17\cdot 29^{2}\cdot 65497$ $D_{4}$ (as 4T3) $[10296]$ $6.359570875399758$
4.0.24082224225.1 $x^{4} - 2 x^{3} + 1647 x^{2} - 1646 x + 644704$ $3\cdot 5^{2}\cdot 17\cdot 29^{2}\cdot 37\cdot 607$ $D_{4}$ (as 4T3) $[2, 8, 1120]$ $6.359570875399758$
4.0.24093248400.1 $x^{4} + 3873 x^{2} + 3779136$ $2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 13^{2}\cdot 199^{2}$ $C_2^2$ (as 4T2) $[2, 48, 144]$ $4.126874137791121$
4.0.24205213729.1 $x^{4} - x^{3} + 1893 x^{2} - 1999 x + 990506$ $109\cdot 401^{2}\cdot 1381$ $D_{4}$ (as 4T3) $[5, 2380]$ $7.379007737977811$
4.0.24435185593.1 $x^{4} - x^{3} + 1289 x^{2} - 19379 x + 114858$ $7^{2}\cdot 13^{3}\cdot 61^{3}$ $C_4$ (as 4T1) $[2, 2, 3016]$ $18.16182962316263$
4.0.24570553601.1 $x^{4} - x^{3} + 742 x^{2} - 1624 x + 173632$ $11\cdot 29\cdot 401^{2}\cdot 479$ $D_{4}$ (as 4T3) $[10, 1290]$ $7.379007737977811$
4.0.24826548793.2 $x^{4} - x^{3} + 357 x^{2} - 1231 x + 49706$ $181\cdot 401^{2}\cdot 853$ $D_{4}$ (as 4T3) $[13510]$ $7.379007737977811$
4.0.24884847225.1 $x^{4} - 2 x^{3} + 775 x^{2} - 774 x + 141264$ $3^{2}\cdot 5^{2}\cdot 7^{3}\cdot 89\cdot 3623$ $D_{4}$ (as 4T3) $[2, 5004]$ $8.81314098615395$
4.0.25082791025.2 $x^{4} - x^{3} + 61 x^{2} - 1471 x + 100866$ $5^{2}\cdot 461^{2}\cdot 4721$ $D_{4}$ (as 4T3) $[10528]$ $9.128913361511804$
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