Global number field search results

Further refine search

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

Results (displaying all 10 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.2259801992000000000000000.1	x^15 - 10x^12 - 20x^11 - 76x^10 - 200x^9 - 450x^8 - 655x^7 + 590x^6 + 3016x^5 + 4700x^4 + 2425x^3 - 2080x^2 - 220x - 8	\( 2^{18}\cdot 5^{15}\cdot 7^{10} \)	15T95	Trivial (GRH)
15.3.5355700839936000000000000000.1	x^15 + 15x^11 - 12x^10 - 125x^3 + 300x^2 - 240x + 64	\( 2^{24}\cdot 3^{21}\cdot 5^{15} \)	15T95	Trivial (GRH)
15.9.98150665663307736000000000000000.1	x^15 - 90x^13 - 180x^12 + 2865x^11 + 10236x^10 - 29950x^9 - 184260x^8 - 61170x^7 + 1026160x^6 + 1707168x^5 - 775200x^4 - 3783375x^3 - 2205900x^2 + 798000x + 764864	\( -\,2^{18}\cdot 3^{23}\cdot 5^{15}\cdot 19^{4} \)	15T95	Trivial (GRH)
15.7.69454578208162627938004535597516784128000000.1	x^15 - 432x^13 - 1296x^12 + 50420x^11 + 455488x^10 - 886392x^9 - 36652608x^8 - 62206848x^7 + 777708416x^6 + 2785791360x^5 + 610352640x^4 - 6132262400x^3 - 2988544000x^2 + 3218432000x + 1839104000	\( 2^{15}\cdot 5^{6}\cdot 7^{10}\cdot 449^{4}\cdot 5503^{2}\cdot 19753^{2} \)	15T95	Trivial (GRH)
15.11.1321365067721650998272614708394954813952000000.1	x^15 - 378x^13 - 864x^12 + 34944x^11 + 273216x^10 + 281880x^9 - 18133632x^8 - 120731040x^7 - 55931904x^6 + 1226545920x^5 + 2439797760x^4 - 632947200x^3 - 2466662400x^2 + 651264000	\( 2^{15}\cdot 3^{24}\cdot 5^{6}\cdot 53^{4}\cdot 1783^{2}\cdot 603557^{2} \)	15T95	Trivial (GRH)
15.7.1447102581933483211395771120066876223488000000.1	x^15 - 486x^13 - 3888x^12 + 46872x^11 + 866592x^10 + 4133160x^9 - 10539072x^8 - 228238176x^7 - 1326742656x^6 - 4316787840x^5 - 8710225920x^4 - 11105446400x^3 - 8715724800x^2 - 3849216000x - 733184000	\( 2^{18}\cdot 3^{21}\cdot 5^{6}\cdot 179^{4}\cdot 3671^{2}\cdot 49409^{2} \)	15T95	Trivial (GRH)
15.11.20460795210884509800211491460024203449856000000.1	x^15 - 1026x^13 - 8208x^12 + 237732x^11 + 4049952x^10 + 11537640x^9 - 234539712x^8 - 2907652896x^7 - 16113845376x^6 - 52098560640x^5 - 105057976320x^4 - 133947814400x^3 - 105124300800x^2 - 46427136000x - 8843264000	\( 2^{15}\cdot 3^{21}\cdot 5^{6}\cdot 17^{4}\cdot 127^{4}\cdot 1709^{2}\cdot 7759^{2} \)	15T95	Trivial (GRH)
15.9.509130717075076439975600141140915908481024000000.1	x^15 + 378x^13 - 3024x^12 + 61040x^11 - 598528x^10 + 3949848x^9 - 33288192x^8 + 67412352x^7 + 486419584x^6 - 1876640640x^5 + 409167360x^4 + 4110937600x^3 - 2003456000x^2 - 2157568000x + 1232896000	\( -\,2^{18}\cdot 5^{6}\cdot 7^{14}\cdot 43^{4}\cdot 20509^{2}\cdot 356999^{2} \)	15T95	Trivial (GRH)
15.15.9192733277847478572036540032446527362279872800831959552000000.1	x^15 - 2691x^13 - 21528x^12 + 2027042x^11 + 33078512x^10 - 224467605x^9 - 9558128952x^8 - 99741836916x^7 - 540865750896x^6 - 1743471235440x^5 - 3514728222720x^4 - 4481241502400x^3 - 3516947116800x^2 - 1553225856000x - 295852544000	\( 2^{15}\cdot 5^{6}\cdot 7^{10}\cdot 13^{4}\cdot 827^{2}\cdot 44449^{4}\cdot 28872271^{2} \)	15T95	Trivial (GRH)
15.15.1567340637715370810317104340867709615539728651698449490432000000.1	x^15 - 3096x^13 - 24768x^12 + 2716937x^11 + 44214032x^10 - 440833995x^9 - 16154451432x^8 - 166917328956x^7 - 903885633936x^6 - 2913097505040x^5 - 5872510955520x^4 - 7487389678400x^3 - 5876218348800x^2 - 2595175296000x - 494319104000	\( 2^{15}\cdot 5^{6}\cdot 7^{10}\cdot 29^{2}\cdot 965467^{4}\cdot 3851089843^{2} \)	15T95	Trivial (GRH)