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Results (1-50 of 21871 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.125.1 $x^{4} - x^{3} + x^{2} - x + 1$ $5^{3}$ $C_4$ (as 4T1) trivial $0.962423650119$
4.4.1125.1 $x^{4} - x^{3} - 4 x^{2} + 4 x + 1$ $3^{2}\cdot 5^{3}$ $C_4$ (as 4T1) trivial $1.16545519432$
4.4.2000.1 $x^{4} - 5 x^{2} + 5$ $2^{4}\cdot 5^{3}$ $C_4$ (as 4T1) trivial $1.85281056397$
4.4.2048.1 $x^{4} - 4 x^{2} + 2$ $2^{11}$ $C_4$ (as 4T1) trivial $2.44179500662$
4.0.2048.2 $x^{4} + 4 x^{2} + 2$ $2^{11}$ $C_4$ (as 4T1) trivial $1.76274717404$
4.0.2197.1 $x^{4} - x^{3} + 2 x^{2} + 4 x + 3$ $13^{3}$ $C_4$ (as 4T1) trivial $2.38952643457$
4.4.4913.1 $x^{4} - x^{3} - 6 x^{2} + x + 1$ $17^{3}$ $C_4$ (as 4T1) trivial $3.46198873228$
4.4.6125.1 $x^{4} - x^{3} - 9 x^{2} + 9 x + 11$ $5^{3}\cdot 7^{2}$ $C_4$ (as 4T1) trivial $3.36611485007$
4.4.8000.1 $x^{4} - 10 x^{2} + 20$ $2^{6}\cdot 5^{3}$ $C_4$ (as 4T1) trivial $4.50325854125$
4.0.8000.2 $x^{4} + 10 x^{2} + 20$ $2^{6}\cdot 5^{3}$ $C_4$ (as 4T1) $[2]$ $0.962423650119$
4.4.15125.1 $x^{4} - x^{3} - 14 x^{2} + 14 x + 31$ $5^{3}\cdot 11^{2}$ $C_4$ (as 4T1) trivial $5.29445586371$
4.0.18000.1 $x^{4} + 15 x^{2} + 45$ $2^{4}\cdot 3^{2}\cdot 5^{3}$ $C_4$ (as 4T1) $[2, 2]$ $0.962423650119$
4.4.18432.1 $x^{4} - 12 x^{2} + 18$ $2^{11}\cdot 3^{2}$ $C_4$ (as 4T1) trivial $11.1753272808$
4.0.18432.2 $x^{4} + 12 x^{2} + 18$ $2^{11}\cdot 3^{2}$ $C_4$ (as 4T1) $[2]$ $1.76274717404$
4.4.19773.1 $x^{4} - x^{3} - 11 x^{2} - 9 x + 3$ $3^{2}\cdot 13^{3}$ $C_4$ (as 4T1) trivial $9.44732277257$
4.0.21125.1 $x^{4} - x^{3} + 16 x^{2} - 16 x + 61$ $5^{3}\cdot 13^{2}$ $C_4$ (as 4T1) $[2]$ $0.962423650119$
4.0.24389.1 $x^{4} - x^{3} + 4 x^{2} - 20 x + 23$ $29^{3}$ $C_4$ (as 4T1) trivial $3.29446229274$
4.4.35152.1 $x^{4} - 13 x^{2} + 13$ $2^{4}\cdot 13^{3}$ $C_4$ (as 4T1) trivial $8.93062001005$
4.0.36125.1 $x^{4} - x^{3} + 21 x^{2} - 21 x + 101$ $5^{3}\cdot 17^{2}$ $C_4$ (as 4T1) $[2]$ $0.962423650119$
4.0.44217.1 $x^{4} - x^{3} + 11 x^{2} + x + 52$ $3^{2}\cdot 17^{3}$ $C_4$ (as 4T1) $[10]$ $4.18942509452$
4.4.45125.1 $x^{4} - x^{3} - 24 x^{2} + 24 x + 101$ $5^{3}\cdot 19^{2}$ $C_4$ (as 4T1) trivial $9.85038342716$
4.0.50653.1 $x^{4} - x^{3} + 5 x^{2} - 7 x + 49$ $37^{3}$ $C_4$ (as 4T1) trivial $4.98355970529$
4.4.51200.1 $x^{4} - 20 x^{2} + 50$ $2^{11}\cdot 5^{2}$ $C_4$ (as 4T1) $[2]$ $9.82803187415$
4.0.51200.2 $x^{4} + 20 x^{2} + 50$ $2^{11}\cdot 5^{2}$ $C_4$ (as 4T1) $[2]$ $1.76274717404$
4.0.54925.1 $x^{4} - x^{3} + 15 x^{2} + 17 x + 29$ $5^{2}\cdot 13^{3}$ $C_4$ (as 4T1) $[2]$ $2.38952643457$
4.0.55125.1 $x^{4} - x^{3} + 26 x^{2} - 26 x + 151$ $3^{2}\cdot 5^{3}\cdot 7^{2}$ $C_4$ (as 4T1) $[2, 2]$ $0.962423650119$
4.4.66125.1 $x^{4} - x^{3} - 29 x^{2} + 29 x + 151$ $5^{3}\cdot 23^{2}$ $C_4$ (as 4T1) trivial $9.82555546678$
4.4.68921.1 $x^{4} - x^{3} - 15 x^{2} - 18 x - 4$ $41^{3}$ $C_4$ (as 4T1) trivial $13.5247244386$
4.4.72000.1 $x^{4} - 30 x^{2} + 180$ $2^{6}\cdot 3^{2}\cdot 5^{3}$ $C_4$ (as 4T1) $[2]$ $8.40003000533$
4.0.72000.2 $x^{4} + 30 x^{2} + 180$ $2^{6}\cdot 3^{2}\cdot 5^{3}$ $C_4$ (as 4T1) $[2, 2]$ $0.962423650119$
4.0.78608.1 $x^{4} + 17 x^{2} + 68$ $2^{4}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2]$ $4.18942509452$
4.0.98000.1 $x^{4} + 35 x^{2} + 245$ $2^{4}\cdot 5^{3}\cdot 7^{2}$ $C_4$ (as 4T1) $[2, 2]$ $0.962423650119$
4.4.100352.1 $x^{4} - 28 x^{2} + 98$ $2^{11}\cdot 7^{2}$ $C_4$ (as 4T1) trivial $23.4339005965$
4.0.100352.5 $x^{4} + 28 x^{2} + 98$ $2^{11}\cdot 7^{2}$ $C_4$ (as 4T1) $[2, 2]$ $1.76274717404$
4.0.105125.2 $x^{4} - x^{3} + 36 x^{2} - 36 x + 281$ $5^{3}\cdot 29^{2}$ $C_4$ (as 4T1) $[2, 2]$ $0.962423650119$
4.4.107653.1 $x^{4} - x^{3} - 24 x^{2} - 22 x + 29$ $7^{2}\cdot 13^{3}$ $C_4$ (as 4T1) trivial $13.2792379456$
4.4.120125.1 $x^{4} - x^{3} - 39 x^{2} + 39 x + 281$ $5^{3}\cdot 31^{2}$ $C_4$ (as 4T1) trivial $11.6880189501$
4.4.122825.1 $x^{4} - x^{3} - 23 x^{2} + x + 86$ $5^{2}\cdot 17^{3}$ $C_4$ (as 4T1) $[2]$ $61.2253005252$
4.0.136125.2 $x^{4} - x^{3} + 41 x^{2} - 41 x + 361$ $3^{2}\cdot 5^{3}\cdot 11^{2}$ $C_4$ (as 4T1) $[2, 2, 2]$ $0.962423650119$
4.4.140608.1 $x^{4} - 26 x^{2} + 52$ $2^{6}\cdot 13^{3}$ $C_4$ (as 4T1) trivial $56.3106022511$
4.0.140608.2 $x^{4} + 26 x^{2} + 52$ $2^{6}\cdot 13^{3}$ $C_4$ (as 4T1) $[2]$ $2.38952643457$
4.0.148877.1 $x^{4} - x^{3} + 7 x^{2} + 43 x + 47$ $53^{3}$ $C_4$ (as 4T1) trivial $3.9314409433$
4.0.171125.1 $x^{4} - x^{3} + 46 x^{2} - 46 x + 451$ $5^{3}\cdot 37^{2}$ $C_4$ (as 4T1) $[10]$ $0.962423650119$
4.4.190125.1 $x^{4} - x^{3} - 49 x^{2} + 49 x + 451$ $3^{2}\cdot 5^{3}\cdot 13^{2}$ $C_4$ (as 4T1) $[2]$ $12.0903797544$
4.0.210125.1 $x^{4} - x^{3} + 51 x^{2} - 51 x + 551$ $5^{3}\cdot 41^{2}$ $C_4$ (as 4T1) $[2, 4]$ $0.962423650119$
4.4.219501.1 $x^{4} - x^{3} - 25 x^{2} + 67 x - 35$ $3^{2}\cdot 29^{3}$ $C_4$ (as 4T1) trivial $44.1658756648$
4.0.226981.1 $x^{4} - x^{3} + 8 x^{2} - 42 x + 117$ $61^{3}$ $C_4$ (as 4T1) trivial $7.32843692177$
4.4.231125.1 $x^{4} - x^{3} - 54 x^{2} + 54 x + 551$ $5^{3}\cdot 43^{2}$ $C_4$ (as 4T1) trivial $25.6771237386$
4.0.240737.1 $x^{4} - x^{3} + 28 x^{2} + x + 239$ $7^{2}\cdot 17^{3}$ $C_4$ (as 4T1) $[2]$ $4.18942509452$
4.0.242000.2 $x^{4} + 55 x^{2} + 605$ $2^{4}\cdot 5^{3}\cdot 11^{2}$ $C_4$ (as 4T1) $[2, 2, 2]$ $0.962423650119$
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