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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 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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