Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 9 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.1.256963337702775562709829943296.1	x^15 - x^14 - 21x^13 - 15x^12 + 226x^11 + 416x^10 - 200x^9 - 7464x^8 + 4900x^7 + 672x^6 + 95800x^5 - 190584x^4 + 175952x^3 - 474624x^2 + 1196068x - 2131772	\( -\,2^{18}\cdot 3^{6}\cdot 19^{5}\cdot 23303323^{2} \)	15T74	$[2, 2]$ (GRH)
15.1.883088916844315174708071890944.1	x^15 - x^14 + 18x^13 - 135x^12 + 257x^11 - 1439x^10 + 7210x^9 - 13223x^8 + 36398x^7 - 133204x^6 + 158780x^5 + 9134x^4 - 10819x^3 - 30041x^2 - 78572x - 26757	\( -\,2^{24}\cdot 31^{5}\cdot 3691^{2}\cdot 11617^{2} \)	15T74	Trivial (GRH)
15.5.146731672942316498783940057759744.1	x^15 - 2x^14 - 41x^13 - 71x^12 + 673x^11 + 3490x^10 + 523x^9 - 33539x^8 - 92102x^7 - 96816x^6 + 24036x^5 + 177078x^4 + 89109x^3 + 18768x^2 + 45045x + 6507	\( -\,2^{24}\cdot 3^{10}\cdot 31^{5}\cdot 839^{2}\cdot 2711^{2} \)	15T74	Trivial (GRH)
15.3.1335100916632526059288147758415872.1	x^15 - x^14 - 22x^13 + 185x^12 - 1197x^11 + 2757x^10 - 5052x^9 + 9749x^8 - 29354x^7 + 54480x^6 - 90216x^5 + 125694x^4 - 136251x^3 + 76131x^2 - 37098x - 13203	\( 2^{24}\cdot 3^{8}\cdot 47^{2}\cdot 257^{5}\cdot 2213^{2} \)	15T74	Trivial (GRH)
15.5.5200694709710314084929511688503296.1	x^15 - x^14 - 29x^13 - 7x^12 - 622x^11 + 4064x^10 - 2864x^9 + 29008x^8 - 77804x^7 - 256416x^6 + 622152x^5 - 2322456x^4 + 11728688x^3 - 21923712x^2 + 22459748x - 16317276	\( -\,2^{18}\cdot 3^{6}\cdot 19^{5}\cdot 59^{2}\cdot 56190247^{2} \)	15T74	Trivial (GRH)
15.7.10467392050855906104242553244157476864.1	x^15 - 7x^14 - 120x^13 + 454x^12 + 3979x^11 + 327x^10 - 38432x^9 - 97106x^8 - 228520x^7 - 1075224x^6 - 2667392x^5 - 574336x^4 + 10752864x^3 + 24647840x^2 + 24462336x + 12648512	\( 2^{24}\cdot 11^{6}\cdot 79^{5}\cdot 10698269^{2} \)	15T74	Trivial (GRH)
15.15.13415873525861431436750950512514301952.1	x^15 - 7x^14 - 176x^13 + 1475x^12 + 4894x^11 - 58872x^10 - 23098x^9 + 936068x^8 - 546699x^7 - 6610445x^6 + 6160836x^5 + 18765059x^4 - 16552753x^3 - 16200387x^2 + 5570746x + 934107	\( 2^{24}\cdot 3^{6}\cdot 257^{5}\cdot 31279007^{2} \)	15T74	Trivial (GRH)
15.7.19674938756461866304148089740812353536.1	x^15 - 3x^14 - 26x^13 - 119x^12 - 5254x^11 - 1270x^10 - 9442x^9 - 430836x^8 - 256343x^7 + 1824339x^6 - 7122976x^5 - 17304477x^4 + 105081717x^3 + 61634071x^2 - 176039286x + 53190273	\( 2^{24}\cdot 3^{5}\cdot 7^{6}\cdot 107^{5}\cdot 193^{2}\cdot 8861^{2} \)	15T74	Trivial (GRH)
15.15.67762171181974663658421185602855739582316544.1	x^15 - 7x^14 - 352x^13 + 1614x^12 + 35219x^11 - 83825x^10 - 1436928x^9 + 1229790x^8 + 24643160x^7 - 2264344x^6 - 170037888x^5 - 42960640x^4 + 359066208x^3 + 161624224x^2 - 191547904x - 93237184	\( 2^{24}\cdot 11^{6}\cdot 79^{5}\cdot 104683^{2}\cdot 260023^{2} \)	15T74	Trivial (GRH)