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
14.10.137633950666927456949.1	x^14 - 7x^13 + 20x^12 - 29x^11 + 8x^10 + 59x^9 - 121x^8 + 97x^7 + 9x^6 - 100x^5 + 77x^4 - 23x^2 + 9x - 1	\( 29^{12}\cdot 389 \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.10.1738292029888469398433.1	x^14 - 3x^13 - 19x^12 + 72x^11 + 44x^10 - 382x^9 + 244x^8 + 594x^7 - 937x^6 - 59x^5 + 1020x^4 - 424x^3 - 328x^2 + 193x - 17	\( 17^{3}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.2.1738292029888469398433.1	x^14 - 4x^13 + 6x^12 + 26x^11 - 94x^10 + 172x^9 + 46x^8 - 460x^7 + 1413x^6 - 1554x^5 + 1594x^4 + 298x^3 - 784x^2 + 1212x - 463	\( 17^{3}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	$[2, 2]$
14.6.1738292029888469398433.1	x^14 - 6x^13 + 10x^12 - 3x^11 - 13x^10 + 44x^9 - 66x^8 + 83x^7 - 66x^6 + 44x^5 - 13x^4 - 3x^3 + 10x^2 - 6x + 1	\( 17^{3}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.6.1738292029888469398433.3	x^14 - 6x^13 + 8x^12 - x^11 - 11x^10 + 77x^9 - 13x^8 + 51x^7 + 202x^6 - 259x^5 - 160x^4 + 138x^3 - 830x^2 - 473x + 347	\( 17^{3}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.8.5796901408038404767744.1	x^14 + x^12 - 12x^10 - 7x^8 + 28x^6 + 14x^4 - 9x^2 + 1	\( -\,2^{14}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial (GRH)
14.8.5796901408038404767744.2	x^14 - 6x^12 + 3x^10 + 33x^8 - 49x^6 + 2x^4 + 16x^2 + 1	\( -\,2^{14}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial (GRH)
14.2.24385268673304131774761.1	x^14 - 7x^13 + 47x^12 - 191x^11 + 665x^10 - 1741x^9 + 3682x^8 - 6097x^7 + 7180x^6 - 5712x^5 - 237x^4 + 5464x^3 - 8890x^2 + 5836x - 2477	\( 29^{12}\cdot 41^{3} \)	$C_2 \wr C_7$ (as 14T29)	$[2, 6]$
14.6.26026969267377508125001.1	x^14 - 7x^13 + 27x^12 - 71x^11 + 128x^10 - 156x^9 + 94x^8 + 65x^7 - 226x^6 + 276x^5 - 182x^4 + 53x^3 + 14x^2 - 16x - 1	\( 29^{12}\cdot 73561 \)	$C_2 \wr C_7$ (as 14T29)	$[2]$
14.4.53253016835038350829951.1	x^14 - 7x^13 + 29x^12 - 83x^11 + 170x^10 - 256x^9 + 260x^8 - 131x^7 - 84x^6 + 248x^5 - 240x^4 + 121x^3 - 28x + 17	\( -\,29^{12}\cdot 41\cdot 3671 \)	$C_2 \wr C_7$ (as 14T29)	$[2]$
14.12.98547323936652881051648.1	x^14 - 3x^12 - 50x^10 + 276x^8 - 516x^6 + 426x^4 - 152x^2 + 17	\( -\,2^{14}\cdot 17\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.4.98547323936652881051648.1	x^14 + 18x^12 + 56x^10 - 166x^8 - 257x^6 - 22x^4 + 64x^2 + 17	\( -\,2^{14}\cdot 17\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	$[2]$
14.8.98547323936652881051648.1	x^14 - 3x^12 - 21x^10 + 73x^8 + 6x^6 - 125x^4 - 7x^2 + 17	\( -\,2^{14}\cdot 17\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.12.98547323936652881051648.2	x^14 - 14x^12 + 55x^10 - 48x^8 - 107x^6 + 198x^4 - 103x^2 + 17	\( -\,2^{14}\cdot 17\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.8.98547323936652881051648.2	x^14 - 11x^12 + 27x^10 + 66x^8 - 286x^6 + 65x^4 + 354x^2 + 17	\( -\,2^{14}\cdot 17\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.6.98547323936652881051648.1	x^14 + 2x^12 - 19x^10 - 27x^8 + 71x^6 + 129x^4 + 33x^2 - 17	\( 2^{14}\cdot 17\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial
14.0.19263103378911619043213312.1	x^14 + 27x^12 + 300x^10 + 1767x^8 + 5900x^6 + 10978x^4 + 10183x^2 + 3323	\( -\,2^{14}\cdot 29^{12}\cdot 3323 \)	$C_2 \wr C_7$ (as 14T29)	$[2, 2, 2, 108]$ (GRH)
14.14.19263103378911619043213312.1	x^14 - 27x^12 + 300x^10 - 1767x^8 + 5900x^6 - 10978x^4 + 10183x^2 - 3323	\( 2^{14}\cdot 29^{12}\cdot 3323 \)	$C_2 \wr C_7$ (as 14T29)	Trivial (GRH)
14.0.28480176617692682623926272.1	x^14 + 43x^12 + 722x^10 + 5993x^8 + 25558x^6 + 51799x^4 + 38148x^2 + 4913	\( -\,2^{14}\cdot 17^{3}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	$[2, 2, 300]$ (GRH)
14.14.28480176617692682623926272.1	x^14 - 46x^12 + 795x^10 - 6470x^8 + 25606x^6 - 46087x^4 + 30923x^2 - 4913	\( 2^{14}\cdot 17^{3}\cdot 29^{12} \)	$C_2 \wr C_7$ (as 14T29)	Trivial (GRH)