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 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.5010732102295794189453125.1	x^15 - 3x^14 + x^13 + 18x^11 - 66x^10 + 170x^9 - 255x^8 + 40x^7 - 315x^6 + 1649x^5 - 3057x^4 + 4344x^3 - 3005x^2 + 1252x + 131	\( 5^{12}\cdot 13^{10}\cdot 53^{3} \)	15T75	Trivial
15.3.1312992471874372026626953125.1	x^15 + 30x^13 + 255x^11 - 54x^10 + 25x^9 - 1080x^8 - 4560x^7 - 3905x^6 + 8994x^5 + 17475x^4 + 6090x^3 - 12390x^2 - 14535x - 5779	\( 3^{20}\cdot 5^{9}\cdot 53^{3}\cdot 109^{3} \)	15T75	Trivial (GRH)
15.7.2078532132292195957110397206528.1	x^15 - 6x^14 - 45x^13 + 237x^12 + 927x^11 - 3972x^10 - 15815x^9 - 1359x^8 + 32784x^7 + 13036x^6 - 44982x^5 - 205428x^4 - 402517x^3 - 219972x^2 + 103137x + 90953	\( 2^{24}\cdot 3^{20}\cdot 19^{2}\cdot 73^{3}\cdot 503^{2} \)	15T75	Trivial (GRH)
15.7.25239408082699883432366153814016.1	x^15 - 3x^14 - 34x^13 + 131x^12 + 140x^11 + 6x^10 - 844x^9 - 23534x^8 + 34798x^7 - 338826x^6 + 697817x^5 + 1734863x^4 - 384987x^3 + 1185332x^2 - 3097360x - 1985369	\( 2^{12}\cdot 7^{10}\cdot 181^{3}\cdot 1918013^{2} \)	15T75	Trivial (GRH)
15.15.14197789084358343049218550450376704.1	x^15 - 5x^14 - 196x^13 + 1169x^12 + 11263x^11 - 81613x^10 - 202566x^9 + 2212053x^8 - 621438x^7 - 21624778x^6 + 33584838x^5 + 40476996x^4 - 93826187x^3 + 7159929x^2 + 37429270x - 2390177	\( 2^{12}\cdot 7^{14}\cdot 139^{2}\cdot 181^{3}\cdot 6679^{2} \)	15T75	Trivial (GRH)
15.11.41468326288645730146555835992264704.1	x^15 - 6x^14 - 135x^13 + 333x^12 + 6096x^11 + 7464x^10 - 63720x^9 - 277812x^8 - 732105x^7 - 1606206x^6 - 1637631x^5 + 2883087x^4 + 11810481x^3 + 13866012x^2 + 3584043x - 2191593	\( 2^{12}\cdot 3^{24}\cdot 17^{3}\cdot 37^{3}\cdot 379531^{2} \)	15T75	Trivial (GRH)
15.11.72122875390646654351987363783888896.1	x^15 - 4x^14 - 201x^13 + 121x^12 + 12616x^11 + 34020x^10 - 207932x^9 - 1372760x^8 - 2713681x^7 + 1113480x^6 + 16513183x^5 + 35754551x^4 + 36074673x^3 + 12241538x^2 - 11026275x - 10525969	\( 2^{12}\cdot 7^{10}\cdot 13^{3}\cdot 29^{2}\cdot 97^{3}\cdot 192263^{2} \)	15T75	Trivial (GRH)
15.15.1433933689966325663458039537302310912.1	x^15 - 3x^14 - 310x^13 + 593x^12 + 34805x^11 - 24133x^10 - 1754426x^9 - 1249703x^8 + 39991098x^7 + 75956192x^6 - 316063440x^5 - 777961186x^4 + 919513141x^3 + 2616279449x^2 - 923236804x - 2696142673	\( 2^{12}\cdot 7^{10}\cdot 41^{3}\cdot 113^{3}\cdot 167^{2}\cdot 21139^{2} \)	15T75	Trivial (GRH)