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Degree Signature Ramified prime count Ramified Unramified primes
Galois group Field is Intermediate field Class group structure Class number
Discriminant Root discriminant Galois root discriminant CM field Relative class number
Regulator $p$-adic completions Monogenic Index Ines. \(p\)
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Results (1-50 of 1194209 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.7.1 $x^{2} - x + 2$ $-\,7$ $C_2$ (as 2T1) trivial $1$
2.2.21.1 $x^{2} - x - 5$ $3\cdot 7$ $C_2$ (as 2T1) trivial $1.56679923697$
2.0.56.1 $x^{2} + 14$ $-\,2^{3}\cdot 7$ $C_2$ (as 2T1) $[4]$ $1$
2.2.133.1 $x^{2} - x - 33$ $7\cdot 19$ $C_2$ (as 2T1) trivial $5.15325818041$
2.2.140.1 $x^{2} - 35$ $2^{2}\cdot 5\cdot 7$ $C_2$ (as 2T1) $[2]$ $2.47788873029$
2.2.168.1 $x^{2} - 42$ $2^{3}\cdot 3\cdot 7$ $C_2$ (as 2T1) $[2]$ $3.2566139548$
2.0.203.1 $x^{2} - x + 51$ $-\,7\cdot 29$ $C_2$ (as 2T1) $[4]$ $1$
2.2.217.1 $x^{2} - x - 54$ $7\cdot 31$ $C_2$ (as 2T1) trivial $15.8551876187$
2.0.259.1 $x^{2} - x + 65$ $-\,7\cdot 37$ $C_2$ (as 2T1) $[4]$ $1$
2.2.280.1 $x^{2} - 70$ $2^{3}\cdot 5\cdot 7$ $C_2$ (as 2T1) $[2]$ $6.21859615148$
2.0.308.1 $x^{2} + 77$ $-\,2^{2}\cdot 7\cdot 11$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.329.1 $x^{2} - x - 82$ $7\cdot 47$ $C_2$ (as 2T1) trivial $15.3742507881$
2.2.364.1 $x^{2} - 91$ $2^{2}\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2]$ $8.05452250863$
2.0.371.1 $x^{2} - x + 93$ $-\,7\cdot 53$ $C_2$ (as 2T1) $[8]$ $1$
2.2.385.1 $x^{2} - x - 96$ $5\cdot 7\cdot 11$ $C_2$ (as 2T1) $[2]$ $12.163488683$
2.0.399.1 $x^{2} - x + 100$ $-\,3\cdot 7\cdot 19$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.2.413.1 $x^{2} - x - 103$ $7\cdot 59$ $C_2$ (as 2T1) trivial $4.11060501081$
2.0.420.1 $x^{2} + 105$ $-\,2^{2}\cdot 3\cdot 5\cdot 7$ $C_2$ (as 2T1) $[2, 2, 2]$ $1$
2.0.455.1 $x^{2} - x + 114$ $-\,5\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2, 10]$ $1$
2.2.476.1 $x^{2} - 119$ $2^{2}\cdot 7\cdot 17$ $C_2$ (as 2T1) $[2]$ $5.48062156178$
2.2.581.1 $x^{2} - x - 145$ $7\cdot 83$ $C_2$ (as 2T1) trivial $8.81358718236$
2.0.595.1 $x^{2} - x + 149$ $-\,5\cdot 7\cdot 17$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.2.609.1 $x^{2} - x - 152$ $3\cdot 7\cdot 29$ $C_2$ (as 2T1) $[2]$ $14.0072790186$
2.0.616.1 $x^{2} + 154$ $-\,2^{3}\cdot 7\cdot 11$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.0.644.1 $x^{2} + 161$ $-\,2^{2}\cdot 7\cdot 23$ $C_2$ (as 2T1) $[2, 8]$ $1$
2.0.651.1 $x^{2} - x + 163$ $-\,3\cdot 7\cdot 31$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.721.1 $x^{2} - x - 180$ $7\cdot 103$ $C_2$ (as 2T1) trivial $38.1568136047$
2.2.728.1 $x^{2} - 182$ $2^{3}\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2]$ $3.98864093449$
2.0.763.1 $x^{2} - x + 191$ $-\,7\cdot 109$ $C_2$ (as 2T1) $[4]$ $1$
2.2.777.1 $x^{2} - x - 194$ $3\cdot 7\cdot 37$ $C_2$ (as 2T1) $[4]$ $6.10031392473$
2.0.791.1 $x^{2} - x + 198$ $-\,7\cdot 113$ $C_2$ (as 2T1) $[32]$ $1$
2.2.805.1 $x^{2} - x - 201$ $5\cdot 7\cdot 23$ $C_2$ (as 2T1) $[2]$ $7.27724724903$
2.0.840.1 $x^{2} + 210$ $-\,2^{3}\cdot 3\cdot 5\cdot 7$ $C_2$ (as 2T1) $[2, 2, 2]$ $1$
2.2.917.1 $x^{2} - x - 229$ $7\cdot 131$ $C_2$ (as 2T1) trivial $7.07411609923$
2.2.924.1 $x^{2} - 231$ $2^{2}\cdot 3\cdot 7\cdot 11$ $C_2$ (as 2T1) $[2, 2]$ $5.02383723549$
2.2.952.1 $x^{2} - 238$ $2^{3}\cdot 7\cdot 17$ $C_2$ (as 2T1) $[2]$ $10.0573238954$
2.0.959.1 $x^{2} - x + 240$ $-\,7\cdot 137$ $C_2$ (as 2T1) $[36]$ $1$
2.2.973.1 $x^{2} - x - 243$ $7\cdot 139$ $C_2$ (as 2T1) trivial $14.4068719371$
2.0.987.1 $x^{2} - x + 247$ $-\,3\cdot 7\cdot 47$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.2.1001.1 $x^{2} - x - 250$ $7\cdot 11\cdot 13$ $C_2$ (as 2T1) $[2]$ $14.567780056$
2.0.1043.1 $x^{2} - x + 261$ $-\,7\cdot 149$ $C_2$ (as 2T1) $[8]$ $1$
2.2.1064.1 $x^{2} - 266$ $2^{3}\cdot 7\cdot 19$ $C_2$ (as 2T1) $[2]$ $7.22256548603$
2.0.1092.1 $x^{2} + 273$ $-\,2^{2}\cdot 3\cdot 7\cdot 13$ $C_2$ (as 2T1) $[2, 2, 2]$ $1$
2.2.1113.1 $x^{2} - x - 278$ $3\cdot 7\cdot 53$ $C_2$ (as 2T1) $[2]$ $14.1554951903$
2.2.1148.1 $x^{2} - 287$ $2^{2}\cdot 7\cdot 41$ $C_2$ (as 2T1) $[2]$ $6.3561046466$
2.0.1155.1 $x^{2} - x + 289$ $-\,3\cdot 5\cdot 7\cdot 11$ $C_2$ (as 2T1) $[2, 2, 2]$ $1$
2.2.1169.1 $x^{2} - x - 292$ $7\cdot 167$ $C_2$ (as 2T1) trivial $33.5403858137$
2.0.1204.1 $x^{2} + 301$ $-\,2^{2}\cdot 7\cdot 43$ $C_2$ (as 2T1) $[2, 4]$ $1$
2.0.1239.1 $x^{2} - x + 310$ $-\,3\cdot 7\cdot 59$ $C_2$ (as 2T1) $[2, 16]$ $1$
2.0.1288.1 $x^{2} + 322$ $-\,2^{3}\cdot 7\cdot 23$ $C_2$ (as 2T1) $[2, 4]$ $1$
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