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 20 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.8.62761950191564959744.1	x^14 + x^12 - 20x^11 + 5x^10 + 22x^9 + 67x^8 - 30x^7 - 163x^6 + 38x^5 + 129x^4 - 2x^3 - 39x^2 - 12x - 1	\( -\,2^{12}\cdot 19\cdot 73^{8} \)	14T44	Trivial
14.8.62761950191564959744.2	x^14 - 7x^13 + 26x^12 - 65x^11 + 99x^10 - 66x^9 - 53x^8 + 179x^7 - 173x^6 + 30x^5 + 79x^4 - 73x^3 + 6x^2 + 17x + 1	\( -\,2^{12}\cdot 19\cdot 73^{8} \)	14T44	Trivial
14.6.66065210727963115520.1	x^14 + 9x^12 + 21x^10 - 3x^8 - 37x^6 - x^4 + 19x^2 - 5	\( 2^{14}\cdot 5\cdot 73^{8} \)	14T44	Trivial
14.6.66065210727963115520.2	x^14 - 8x^12 - 18x^11 + 2x^10 + 64x^9 + 118x^8 + 86x^7 - 28x^6 - 132x^5 - 154x^4 - 106x^3 - 48x^2 - 14x - 2	\( 2^{14}\cdot 5\cdot 73^{8} \)	14T44	Trivial
14.10.95794555555546517504.1	x^14 - 7x^13 + 12x^12 + 17x^11 - 85x^10 + 166x^9 - 263x^8 + 151x^7 + 355x^6 - 756x^5 + 679x^4 - 165x^3 - 386x^2 + 205x + 101	\( 2^{12}\cdot 29\cdot 73^{8} \)	14T44	Trivial
14.6.95794555555546517504.1	x^14 - 2x^13 - 9x^12 + 2x^11 + 33x^10 + 42x^9 + 3x^8 - 24x^7 + 3x^6 + 42x^5 + 33x^4 + 2x^3 - 9x^2 - 2x + 1	\( 2^{12}\cdot 29\cdot 73^{8} \)	14T44	Trivial
14.2.135433681992324386816.1	x^14 + 3x^12 - 12x^11 + 37x^10 - 78x^9 + 89x^8 - 120x^7 + 315x^6 - 496x^5 + 329x^4 + 204x^3 - 485x^2 + 262x - 29	\( 2^{12}\cdot 41\cdot 73^{8} \)	14T44	Trivial
14.4.145343463601518854144.1	x^14 - x^12 - 2x^11 - 3x^10 - 2x^9 - 3x^8 - 2x^7 - 3x^6 - 2x^5 - 3x^4 - 2x^3 - x^2 + 1	\( -\,2^{14}\cdot 11\cdot 73^{8} \)	14T44	Trivial (GRH)
14.8.145343463601518854144.1	x^14 - 2x^13 - 15x^12 + 38x^11 + 55x^10 - 240x^9 + 75x^8 + 488x^7 - 613x^6 + 38x^5 + 407x^4 - 262x^3 - 11x^2 + 68x - 19	\( -\,2^{14}\cdot 11\cdot 73^{8} \)	14T44	Trivial
14.10.171769547892704100352.1	x^14 - 19x^12 + 93x^10 - 75x^8 - 181x^6 + 59x^4 + 59x^2 - 13	\( 2^{14}\cdot 13\cdot 73^{8} \)	14T44	Trivial
14.6.264260842911852462080.1	x^14 - 2x^13 - 8x^12 + 20x^11 - 12x^10 + 62x^8 - 186x^7 + 306x^6 - 290x^5 + 80x^4 + 86x^3 - 32x^2 - 2	\( 2^{16}\cdot 5\cdot 73^{8} \)	14T44	Trivial
14.4.303899969348630331392.1	x^14 - 2x^13 - 7x^12 + 32x^11 - 83x^10 + 146x^9 - 199x^8 + 222x^7 - 199x^6 + 146x^5 - 83x^4 + 32x^3 - 7x^2 - 2x + 1	\( -\,2^{14}\cdot 23\cdot 73^{8} \)	14T44	Trivial
14.8.303899969348630331392.1	x^14 - 6x^13 - 3x^12 + 102x^11 - 281x^10 + 192x^9 + 343x^8 - 428x^7 - 625x^6 + 1330x^5 - 613x^4 + 6x^3 - 71x^2 + 36x + 1	\( -\,2^{14}\cdot 23\cdot 73^{8} \)	14T44	Trivial
14.12.581373854406075416576.1	x^14 - 2x^13 - 18x^12 + 38x^11 + 102x^10 - 198x^9 - 316x^8 + 396x^7 + 842x^6 - 544x^5 - 1298x^4 + 602x^3 + 808x^2 - 256x - 146	\( -\,2^{16}\cdot 11\cdot 73^{8} \)	14T44	Trivial
14.2.1057043371647409848320.1	x^14 + 21x^12 + 157x^10 + 481x^8 + 403x^6 - 561x^4 - 753x^2 - 5	\( 2^{18}\cdot 5\cdot 73^{8} \)	14T44	$[4]$
14.12.3382538789271711514624.1	x^14 - 13x^12 + 53x^10 - 45x^8 - 141x^6 + 217x^4 - 57x^2 + 1	\( -\,2^{22}\cdot 73^{8} \)	14T44	Trivial (GRH)
14.14.6517333038313561346048.1	x^14 - 7x^13 + 4x^12 + 67x^11 - 121x^10 - 176x^9 + 509x^8 + 43x^7 - 749x^6 + 320x^5 + 325x^4 - 261x^3 + 38x^2 + 7x - 1	\( 2^{12}\cdot 73^{8}\cdot 1973 \)	14T44	Trivial
14.14.7706506831416897425408.1	x^14 - 5x^13 - 14x^12 + 127x^11 - 165x^10 - 484x^9 + 1495x^8 - 691x^7 - 2185x^6 + 3510x^5 - 1891x^4 + 209x^3 + 120x^2 - 29x + 1	\( 2^{12}\cdot 73^{8}\cdot 2333 \)	14T44	Trivial
14.0.8826312153255872233472.1	x^14 - 2x^13 + 5x^12 - 14x^11 + 37x^10 - 18x^9 + 71x^8 - 132x^7 + 79x^6 + 112x^5 + 509x^4 - 60x^3 - 255x^2 + 774x + 547	\( -\,2^{16}\cdot 73^{8}\cdot 167 \)	14T44	$[8]$
14.0.16912693946358557573120.1	x^14 + 25x^12 + 159x^10 + 423x^8 + 527x^6 + 299x^4 + 69x^2 + 5	\( -\,2^{22}\cdot 5\cdot 73^{8} \)	14T44	$[20]$