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 matches 1-50 of 3394)

Label	Polynomial	Discriminant	Galois group	Class group
9.1.29510281.1	x^9 - 2x^8 + 2x^7 - 3x^5 + 7x^4 - 8x^3 + 6x^2 - 3x + 1	\( 101\cdot 292181 \)	$S_9$ (as 9T34)	Trivial
9.1.30073129.1	x^9 - 2x^8 + 2x^7 - x^5 + x^3 + x^2 - 2x + 1	\( 353\cdot 85193 \)	$S_9$ (as 9T34)	Trivial
9.1.30626693.1	x^9 - x^6 - 2x^5 - x^4 + 2x^2 + x + 1	\( 30626693 \)	$S_9$ (as 9T34)	Trivial
9.1.32029433.1	x^9 - 2x^8 + 3x^6 - x^5 - 3x^4 + 3x^3 + x^2 - 2x + 1	\( 32029433 \)	$S_9$ (as 9T34)	Trivial
9.1.32344469.1	x^9 - x^7 - x^6 + 2x^5 + 2x^4 - x^3 - 2x^2 + 1	\( 53\cdot 89\cdot 6857 \)	$S_9$ (as 9T34)	Trivial
9.1.35050633.1	x^9 - x^8 + x^7 - 3x^6 + 3x^5 - 2x^4 + 4x^3 - 2x^2 + x - 1	\( 43\cdot 311\cdot 2621 \)	$S_9$ (as 9T34)	Trivial
9.1.44555813.1	x^9 - x^8 + 2x^7 - 2x^5 + 2x^4 - 2x^3 - x^2 + x - 1	\( 44555813 \)	$S_9$ (as 9T34)	Trivial
9.1.53628353.1	x^9 - 3x^8 + 4x^7 - 3x^6 + 3x^5 - 2x^4 - x^3 + 4x^2 - 3x + 1	\( 17\cdot 43\cdot 73363 \)	$S_9$ (as 9T34)	Trivial
9.3.109880167.1	x^9 - 2x^8 + x^7 + x^6 - 3x^5 + x^4 + 3x^3 - 2x - 1	\( -\,367\cdot 299401 \)	$S_9$ (as 9T34)	Trivial
9.3.111543479.1	x^9 - x^8 - x^7 + 3x^6 - 2x^5 - x^4 + 2x^3 - x^2 - 1	\( -\,111543479 \)	$S_9$ (as 9T34)	Trivial
9.3.112700719.1	x^9 - x^6 - x^5 + 3x^4 + 2x^3 - 3x^2 - x + 1	\( -\,7211\cdot 15629 \)	$S_9$ (as 9T34)	Trivial
9.3.112978759.1	x^9 - 3x^8 + 2x^7 + 3x^6 - 5x^5 + x^4 + 3x^3 - 3x^2 - x + 1	\( -\,43\cdot 2627413 \)	$S_9$ (as 9T34)	Trivial
9.3.112992391.1	x^9 - 2x^8 + x^7 + 3x^6 - 6x^5 + 3x^4 + 2x^3 - 4x^2 + 2x - 1	\( -\,112992391 \)	$S_9$ (as 9T34)	Trivial
9.3.113501567.1	x^9 - x^8 - x^7 + x^6 - 3x^4 + x^3 + 4x^2 - 1	\( -\,53\cdot 797\cdot 2687 \)	$S_9$ (as 9T34)	Trivial
9.3.113511599.1	x^9 - x^8 - 2x^7 + 2x^6 + 3x^5 - 5x^4 - 3x^3 + 4x^2 + x - 1	\( -\,193\cdot 727\cdot 809 \)	$S_9$ (as 9T34)	Trivial
9.3.113931487.1	x^9 - 2x^6 - x^5 - x^4 + 2x^2 + x + 1	\( -\,109\cdot 389\cdot 2687 \)	$S_9$ (as 9T34)	Trivial
9.3.114807607.1	x^9 - x^7 - 2x^6 + x^5 + 4x^4 + 2x^3 - 2x^2 - 3x - 1	\( -\,29\cdot 3958883 \)	$S_9$ (as 9T34)	Trivial
9.3.115041127.1	x^9 - x^8 - 2x^7 + 3x^6 - 2x^4 - x^3 + 2x + 1	\( -\,97\cdot 229\cdot 5179 \)	$S_9$ (as 9T34)	Trivial
9.3.115270559.1	x^9 - 3x^8 + 3x^7 - 2x^6 + 2x^5 - 2x^4 - 2x^3 + 5x^2 - 4x + 1	\( -\,71\cdot 79\cdot 20551 \)	$S_9$ (as 9T34)	Trivial
9.3.115691111.1	x^9 + 2x^7 - x^6 + x^4 - 5x^3 + 2x^2 + 2x - 1	\( -\,47\cdot 67\cdot 36739 \)	$S_9$ (as 9T34)	Trivial
9.3.116188367.1	x^9 - 2x^7 - 3x^6 + x^5 + 3x^4 + x^3 - x^2 + 1	\( -\,116188367 \)	$S_9$ (as 9T34)	Trivial
9.3.118246927.1	x^9 - 4x^8 + 8x^7 - 12x^6 + 13x^5 - 10x^4 + 5x^3 - x^2 + 1	\( -\,31\cdot 3814417 \)	$S_9$ (as 9T34)	Trivial
9.3.118795951.1	x^9 - 2x^8 + x^7 + 2x^6 - 4x^5 + x^4 + 2x^3 - 3x^2 + 1	\( -\,167\cdot 711353 \)	$S_9$ (as 9T34)	Trivial
9.3.121510799.1	x^9 - 2x^7 - 3x^6 + x^5 + 5x^4 + 4x^3 - x^2 - 3x - 1	\( -\,2207\cdot 55057 \)	$S_9$ (as 9T34)	Trivial
9.1.125057024.1	x^9 - 4x^8 + 8x^7 - 11x^6 + 12x^5 - 11x^4 + 8x^3 - 6x^2 + 4x - 2	\( 2^{11}\cdot 227\cdot 269 \)	$S_9$ (as 9T34)	Trivial
9.3.131123051.1	x^9 - 2x^7 - 2x^6 + 4x^4 + 2x^3 - x^2 - 2x - 1	\( -\,131123051 \)	$S_9$ (as 9T34)	Trivial
9.3.134479871.1	x^9 + x^7 - 2x^6 - 2x^5 - x^4 - x^3 + 2x^2 + 1	\( -\,134479871 \)	$S_9$ (as 9T34)	Trivial
9.3.139751219.1	x^9 - 3x^8 + 4x^7 - 4x^6 + x^5 + 2x^4 - 3x^3 + 4x^2 - 2x + 1	\( -\,139751219 \)	$S_9$ (as 9T34)	Trivial
9.3.240014927.1	x^9 - 2x^8 + 3x^4 - x^3 - x - 1	\( -\,31\cdot 7742417 \)	$S_9$ (as 9T34)	Trivial
9.3.308842096.1	x^9 - x^8 - 2x^7 + 3x^6 - x^5 - 4x^4 + 4x^3 + x^2 - 3x + 1	\( -\,2^{4}\cdot 19302631 \)	$S_9$ (as 9T34)	Trivial
9.1.370643273.1	x^9 - x - 1	\( 7\cdot 11\cdot 13\cdot 43\cdot 79\cdot 109 \)	$S_9$ (as 9T34)	Trivial
9.3.393718863.1	x^9 - 2x^8 + x^6 + x^5 - 3x^3 + x^2 - x + 1	\( -\,3\cdot 1009\cdot 130069 \)	$S_9$ (as 9T34)	Trivial
9.1.404197705.1	x^9 + x - 1	\( 5\cdot 197\cdot 410353 \)	$S_9$ (as 9T34)	Trivial
9.5.453771377.1	x^9 - x^8 - 3x^7 + 3x^6 + 2x^5 - x^4 - 3x^2 + 1	\( 453771377 \)	$S_9$ (as 9T34)	Trivial
9.5.455809769.1	x^9 - x^6 - 3x^5 + 4x^4 + x^3 - 4x^2 + 1	\( 109\cdot 4181741 \)	$S_9$ (as 9T34)	Trivial
9.5.460080721.1	x^9 - x^8 - 2x^7 + 2x^5 + x^4 - 5x^3 - x^2 + 3x + 1	\( 41\cdot 11221481 \)	$S_9$ (as 9T34)	Trivial
9.5.507490937.1	x^9 - x^8 - 5x^7 + 5x^6 + 7x^5 - 8x^4 - 2x^3 + 4x^2 - x - 1	\( 507490937 \)	$S_9$ (as 9T34)	Trivial
9.3.526235392.1	x^9 - 3x^7 + 4x^5 - x^4 - 6x^3 + 2x^2 + 4x - 2	\( -\,2^{8}\cdot 29\cdot 73\cdot 971 \)	$S_9$ (as 9T34)	Trivial
9.5.678717521.1	x^9 - x^8 - 2x^7 + 7x^6 - 5x^5 - 5x^4 + 9x^3 - x^2 - 3x + 1	\( 678717521 \)	$S_9$ (as 9T34)	Trivial
9.5.710045729.1	x^9 - 3x^7 - 2x^6 + 3x^5 + 3x^4 - x^3 + x^2 - 1	\( 109\cdot 541\cdot 12041 \)	$S_9$ (as 9T34)	Trivial
9.5.840423481.1	x^9 - 2x^8 - x^7 + 2x^6 - x^5 + 6x^4 - 4x^3 - x - 1	\( 2293\cdot 366517 \)	$S_9$ (as 9T34)	Trivial
9.5.865377817.1	x^9 - 2x^8 + 3x^6 - 5x^5 + 5x^3 + x^2 - x - 1	\( 865377817 \)	$S_9$ (as 9T34)	Trivial
9.1.1338983180.1	x^9 - 2x^8 + x^7 + x^6 - 3x^5 + 3x^3 - 2x - 1	\( 2^{2}\cdot 5\cdot 23\cdot 2910833 \)	$S_9$ (as 9T34)	Trivial
9.5.1669812553.1	x^9 - 4x^5 + 3x - 1	\( 37\cdot 757\cdot 59617 \)	$S_9$ (as 9T34)	Trivial
9.7.1904081383.1	x^9 - x^8 - 5x^7 + 6x^6 + 5x^5 - 11x^4 + 5x^3 + 6x^2 - 6x + 1	\( -\,37\cdot 51461659 \)	$S_9$ (as 9T34)	Trivial
9.3.1951707231.1	x^9 - 3x - 1	\( -\,3^{9}\cdot 229\cdot 433 \)	$S_9$ (as 9T34)	Trivial
9.7.2155688911.1	x^9 - 3x^8 - x^7 + 7x^6 - x^4 - 5x^3 - 4x^2 + 4x + 1	\( -\,337\cdot 6396703 \)	$S_9$ (as 9T34)	Trivial
9.5.2159425756.1	x^9 - x^8 + 2x^6 - 4x^5 + 4x^4 - 7x^2 + 2x + 2	\( 2^{2}\cdot 539856439 \)	$S_9$ (as 9T34)	Trivial
9.5.2266066613.1	x^9 - 4x^7 - 6x^6 + 6x^5 + 11x^4 + 2x^3 - 7x^2 - 2x + 1	\( 31\cdot 61\cdot 1198343 \)	$S_9$ (as 9T34)	Trivial
9.7.2307632671.1	x^9 - 4x^7 + x^5 - 2x^4 + 5x^3 + 3x^2 - 2x - 1	\( -\,2307632671 \)	$S_9$ (as 9T34)	Trivial