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Degree Signature Ramified prime count Ramified Unramified primes
Galois group Galois 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 441626 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.2.100001.1 $x^{2} - x - 25000$ $11\cdot 9091$ $C_2$ (as 2T1) trivial $252.836785257$
2.2.100005.1 $x^{2} - x - 25001$ $3\cdot 5\cdot 59\cdot 113$ $C_2$ (as 2T1) $[2, 2]$ $22.5873720012$
2.2.100012.1 $x^{2} - 25003$ $2^{2}\cdot 11\cdot 2273$ $C_2$ (as 2T1) $[2]$ $95.7100745968$
2.2.100013.1 $x^{2} - x - 25003$ $103\cdot 971$ $C_2$ (as 2T1) trivial $107.371687794$
2.2.100021.1 $x^{2} - x - 25005$ $29\cdot 3449$ $C_2$ (as 2T1) $[2]$ $94.8264605799$
2.2.100024.1 $x^{2} - 25006$ $2^{3}\cdot 12503$ $C_2$ (as 2T1) trivial $359.856550408$
2.2.100028.1 $x^{2} - 25007$ $2^{2}\cdot 17\cdot 1471$ $C_2$ (as 2T1) $[4]$ $24.46663049$
2.2.100029.1 $x^{2} - x - 25007$ $3\cdot 33343$ $C_2$ (as 2T1) trivial $79.0957444089$
2.2.100033.1 $x^{2} - x - 25008$ $167\cdot 599$ $C_2$ (as 2T1) trivial $277.189639362$
2.2.100037.1 $x^{2} - x - 25009$ $7\cdot 31\cdot 461$ $C_2$ (as 2T1) $[2]$ $36.1263072924$
2.2.100040.1 $x^{2} - 25010$ $2^{3}\cdot 5\cdot 41\cdot 61$ $C_2$ (as 2T1) $[2, 2, 2]$ $11.6915568882$
2.2.100041.1 $x^{2} - x - 25010$ $3\cdot 33347$ $C_2$ (as 2T1) trivial $473.902406902$
2.2.100045.1 $x^{2} - x - 25011$ $5\cdot 11\cdot 17\cdot 107$ $C_2$ (as 2T1) $[2, 2]$ $53.5354815501$
2.2.100049.1 $x^{2} - x - 25012$ $100049$ $C_2$ (as 2T1) trivial $311.201133132$
2.2.100056.1 $x^{2} - 25014$ $2^{3}\cdot 3\cdot 11\cdot 379$ $C_2$ (as 2T1) $[2, 4]$ $21.2120049814$
2.2.100057.1 $x^{2} - x - 25014$ $100057$ $C_2$ (as 2T1) trivial $372.969796034$
2.2.100060.1 $x^{2} - 25015$ $2^{2}\cdot 5\cdot 5003$ $C_2$ (as 2T1) $[2]$ $169.318557727$
2.2.100061.1 $x^{2} - x - 25015$ $13\cdot 43\cdot 179$ $C_2$ (as 2T1) $[8]$ $11.1458393695$
2.2.100065.1 $x^{2} - x - 25016$ $3\cdot 5\cdot 7\cdot 953$ $C_2$ (as 2T1) $[2, 2]$ $95.9395990107$
2.2.100069.1 $x^{2} - x - 25017$ $100069$ $C_2$ (as 2T1) $[3]$ $56.4243004099$
2.2.100072.1 $x^{2} - 25018$ $2^{3}\cdot 7\cdot 1787$ $C_2$ (as 2T1) $[2]$ $89.2508701652$
2.2.100073.1 $x^{2} - x - 25018$ $19\cdot 23\cdot 229$ $C_2$ (as 2T1) $[2]$ $112.994585093$
2.2.100076.1 $x^{2} - 25019$ $2^{2}\cdot 127\cdot 197$ $C_2$ (as 2T1) $[2]$ $87.6266049738$
2.2.100077.1 $x^{2} - x - 25019$ $3\cdot 33359$ $C_2$ (as 2T1) trivial $96.4065200655$
2.2.100081.1 $x^{2} - x - 25020$ $41\cdot 2441$ $C_2$ (as 2T1) $[2]$ $346.789112425$
2.2.100085.1 $x^{2} - x - 25021$ $5\cdot 37\cdot 541$ $C_2$ (as 2T1) $[2, 2]$ $15.566998055$
2.2.100088.1 $x^{2} - 25022$ $2^{3}\cdot 12511$ $C_2$ (as 2T1) trivial $114.97541987$
2.2.100092.1 $x^{2} - 25023$ $2^{2}\cdot 3\cdot 19\cdot 439$ $C_2$ (as 2T1) $[2, 2]$ $32.6479341938$
2.2.100093.1 $x^{2} - x - 25023$ $7\cdot 79\cdot 181$ $C_2$ (as 2T1) $[2]$ $62.5042523996$
2.2.100097.1 $x^{2} - x - 25024$ $199\cdot 503$ $C_2$ (as 2T1) trivial $267.660496805$
2.2.100101.1 $x^{2} - x - 25025$ $3\cdot 61\cdot 547$ $C_2$ (as 2T1) $[2]$ $94.4984469938$
2.2.100104.1 $x^{2} - 25026$ $2^{3}\cdot 3\cdot 43\cdot 97$ $C_2$ (as 2T1) $[2, 8]$ $18.6844689941$
2.2.100105.1 $x^{2} - x - 25026$ $5\cdot 20021$ $C_2$ (as 2T1) $[4]$ $106.933921758$
2.2.100108.1 $x^{2} - 25027$ $2^{2}\cdot 29\cdot 863$ $C_2$ (as 2T1) $[2]$ $104.239334852$
2.2.100109.1 $x^{2} - x - 25027$ $100109$ $C_2$ (as 2T1) $[19]$ $8.05959242878$
2.2.100113.1 $x^{2} - x - 25028$ $3\cdot 13\cdot 17\cdot 151$ $C_2$ (as 2T1) $[2, 2]$ $60.3502222037$
2.2.100117.1 $x^{2} - x - 25029$ $53\cdot 1889$ $C_2$ (as 2T1) $[2]$ $71.3835271759$
2.2.100120.1 $x^{2} - 25030$ $2^{3}\cdot 5\cdot 2503$ $C_2$ (as 2T1) $[10]$ $21.4475690784$
2.2.100121.1 $x^{2} - x - 25030$ $7\cdot 14303$ $C_2$ (as 2T1) trivial $295.369751223$
2.2.100124.1 $x^{2} - 25031$ $2^{2}\cdot 25031$ $C_2$ (as 2T1) $[3]$ $35.4879869729$
2.2.100129.1 $x^{2} - x - 25032$ $100129$ $C_2$ (as 2T1) trivial $631.6155772$
2.2.100133.1 $x^{2} - x - 25033$ $11\cdot 9103$ $C_2$ (as 2T1) trivial $44.9062845255$
2.2.100136.1 $x^{2} - 25034$ $2^{3}\cdot 12517$ $C_2$ (as 2T1) $[2]$ $89.5113106746$
2.2.100137.1 $x^{2} - x - 25034$ $3\cdot 29\cdot 1151$ $C_2$ (as 2T1) $[2]$ $165.074423393$
2.2.100140.1 $x^{2} - 25035$ $2^{2}\cdot 3\cdot 5\cdot 1669$ $C_2$ (as 2T1) $[2, 2]$ $28.4560285887$
2.2.100141.1 $x^{2} - x - 25035$ $239\cdot 419$ $C_2$ (as 2T1) trivial $113.339305889$
2.2.100145.1 $x^{2} - x - 25036$ $5\cdot 20029$ $C_2$ (as 2T1) $[2]$ $110.407749404$
2.2.100149.1 $x^{2} - x - 25037$ $3\cdot 7\cdot 19\cdot 251$ $C_2$ (as 2T1) $[2, 2]$ $39.3893408604$
2.2.100153.1 $x^{2} - x - 25038$ $100153$ $C_2$ (as 2T1) trivial $523.870767222$
2.2.100157.1 $x^{2} - x - 25039$ $47\cdot 2131$ $C_2$ (as 2T1) trivial $58.9228435518$
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