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
15.1.4094838485015927379479.1	x^15 - x^14 + x^13 - 12x^12 + x^11 + 45x^10 + 71x^9 - 101x^8 + 26x^7 - 242x^6 + 10x^5 + 102x^4 + 115x^3 + 159x^2 + 51x - 17	\( -\,7^{7}\cdot 17^{7}\cdot 59^{4} \)	15T79	Trivial
15.1.79925419354762223186399.1	x^15 - 3x^14 + 2x^13 + 24x^12 - 38x^11 - 27x^10 + 79x^9 - 382x^8 - 261x^7 - 340x^6 - 1146x^5 - 1686x^4 - 2159x^3 - 130x^2 - 468x - 3497	\( -\,7^{9}\cdot 13^{6}\cdot 17^{7} \)	15T79	$[3]$
15.11.1640718037659516571403264.1	x^15 - 6x^14 + 71x^12 - 147x^11 - 100x^10 + 408x^9 + 134x^8 - 138x^7 - 1231x^6 + 68x^5 + 2191x^4 - 508x^3 - 1128x^2 + 195x + 191	\( 2^{10}\cdot 31^{2}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.7.11201613990722256217457664.1	x^15 - 3x^14 - 20x^13 + 54x^12 + 104x^11 - 221x^10 - 155x^9 - 112x^8 + 165x^7 + 554x^6 + 1088x^5 + 572x^4 - 1059x^3 - 1770x^2 - 1234x - 277	\( 2^{10}\cdot 3^{8}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.7.11761609325115930968155136.1	x^15 - 2x^14 + 23x^13 - 29x^12 + 78x^11 + 108x^10 - 353x^9 + 913x^8 - 585x^7 - 345x^6 + 2379x^5 - 2442x^4 + 342x^3 + 480x^2 - 188x + 17	\( 2^{10}\cdot 83^{2}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.11.3199760414337145928176600064.1	x^15 - 3x^14 - 28x^13 + 95x^12 - 316x^11 + 588x^10 + 533x^9 + 122x^8 + 1104x^7 - 9965x^6 - 4408x^5 + 12535x^4 - 465x^3 - 4676x^2 + 1839x - 193	\( 2^{10}\cdot 37^{4}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.15.6642481855143226481920101489209.1	x^15 - 7x^14 - 82x^13 + 698x^12 + 1347x^11 - 18828x^10 - 2454x^9 + 231590x^8 - 94753x^7 - 1492431x^6 + 759852x^5 + 5042048x^4 - 2072401x^3 - 7830362x^2 + 1839338x + 3597987	\( 31^{6}\cdot 67^{2}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.15.117757441598028025329119098118152643876169986889.1	x^15 - 2223x^13 - 8892x^12 + 1702863x^11 + 13622904x^10 - 526988835x^9 - 6650815716x^8 + 51799388058x^7 + 1218971397600x^6 + 3560094069111x^5 - 59260129751988x^4 - 614578588468128x^3 - 2538598668416640x^2 - 5077197336833280x - 4061757869466624	\( 3^{20}\cdot 67^{2}\cdot 131^{2}\cdot 401^{7}\cdot 512779^{2} \)	15T79	$[3]$ (GRH)