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 160)

Label	Polynomial	Discriminant	Galois group	Class group
14.2.3405373945327868.1	x^14 - 2x^13 + x^12 + x^11 - 3x^10 + 2x^9 + x^8 - 3x^7 + 3x^6 + x^5 - 3x^4 + x^3 + x^2 - 2x - 1	\( 2^{2}\cdot 571\cdot 1490969328077 \)	14T63	Trivial
14.2.9604489472586752.1	x^14 - 2x^13 + x^12 + x^11 - 3x^10 + 2x^9 + x^8 - 4x^7 + 3x^6 + 2x^5 - 3x^4 + x^3 + x^2 - 2x - 1	\( 2^{10}\cdot 2109097\cdot 4447109 \)	14T63	Trivial
14.2.11414881932150269.1	x^14 - x - 1	\( 31\cdot 59\cdot 1279\cdot 4879633159 \)	14T63	Trivial
14.4.922101103923347456.1	x^14 - 2x^11 - 10x^10 - 4x^9 - 6x^8 + 2x^7 + 15x^6 + 12x^5 + 16x^4 + 10x^3 + 4x^2 + 2x - 1	\( -\,2^{14}\cdot 56280584956259 \)	14T63	Trivial
14.10.1569388010932621673.1	x^14 - x^13 - 3x^12 + 4x^11 - 9x^10 - 3x^9 + 31x^8 - 8x^7 + 20x^6 + 24x^5 - 121x^4 - 28x^3 + 106x^2 + 13x - 25	\( 2621\cdot 5261\cdot 113813822033 \)	14T63	Trivial
14.4.3704349534869766103.1	x^14 - 3x^13 - 9x^12 + 31x^11 + 27x^10 - 119x^9 - 27x^8 + 211x^7 - 7x^6 - 175x^5 + 24x^4 + 59x^3 - 10x^2 - 5x + 3	\( -\,3704349534869766103 \)	14T63	Trivial
14.0.4505830467897573376.1	x^14 - 4x + 4	\( -\,2^{14}\cdot 53\cdot 1013\cdot 5122354051 \)	14T63	Trivial
14.2.4962306424630546001.1	x^14 - 4x - 1	\( 53\cdot 641\cdot 146066182693037 \)	14T63	Trivial (GRH)
14.2.4973417753233031168.1	x^14 - 2x - 1	\( 2^{15}\cdot 11\cdot 587\cdot 23505755743 \)	14T63	Trivial (GRH)
14.10.6642679726469111153.1	x^14 - 5x^13 - 2x^12 + 42x^11 - 27x^10 - 134x^9 + 127x^8 + 207x^7 - 211x^6 - 163x^5 + 150x^4 + 62x^3 - 40x^2 - 9x + 1	\( 126173\cdot 52647394660261 \)	14T63	Trivial
14.6.7625019359376272152.1	x^14 - x^13 + x^12 + x^11 - 23x^10 - 2x^9 - 38x^8 - 116x^7 + 9x^6 + 83x^5 + 35x^4 + 26x^3 + 12x^2 + 3x + 1	\( 2^{3}\cdot 13\cdot 557\cdot 11717\cdot 47869\cdot 234683 \)	14T63	Trivial
14.6.7934054083629689753.1	x^14 - 3x^13 - 9x^12 + 30x^11 + 30x^10 - 114x^9 - 46x^8 + 205x^7 + 33x^6 - 177x^5 - 9x^4 + 65x^3 - x^2 - 7x - 1	\( 250425229\cdot 31682327357 \)	14T63	Trivial
14.8.37474751954588984303.1	x^14 - 4x^13 - 7x^12 + 41x^11 + 11x^10 - 166x^9 + 25x^8 + 337x^7 - 98x^6 - 358x^5 + 113x^4 + 186x^3 - 54x^2 - 37x + 11	\( -\,218599\cdot 171431488499897 \)	14T63	Trivial
14.8.42938908405985984591.1	x^14 - 5x^13 - 2x^12 + 41x^11 - 23x^10 - 132x^9 + 106x^8 + 211x^7 - 172x^6 - 172x^5 + 121x^4 + 65x^3 - 34x^2 - 9x + 1	\( -\,23\cdot 49081\cdot 4208629\cdot 9037933 \)	14T63	Trivial
14.2.50477085703893106688.1	x^14 - 4x - 4	\( 2^{14}\cdot 11311747\cdot 272360831 \)	14T63	Trivial
14.0.71180336929341374464.1	x^14 + 10x^6 - 10x^3 + 4x + 2	\( -\,2^{16}\cdot 17\cdot 2063\cdot 115733\cdot 267593 \)	14T63	Trivial
14.2.79441339969821802496.1	x^14 - 8x - 4	\( 2^{16}\cdot 1212178649441861 \)	14T63	Trivial
14.12.80696260103205425703.1	x^14 - 5x^13 - 2x^12 + 42x^11 - 27x^10 - 134x^9 + 128x^8 + 204x^7 - 213x^6 - 153x^5 + 151x^4 + 52x^3 - 41x^2 - 7x + 1	\( -\,3\cdot 17^{2}\cdot 93075271168633709 \)	14T63	Trivial
14.0.86067254168563793920.1	x^14 - 2x + 2	\( -\,2^{14}\cdot 5\cdot 23\cdot 4363\cdot 93703\cdot 111733 \)	14T63	Trivial
14.0.91029257039864674819.1	x^14 - x + 2	\( -\,17\cdot 18223\cdot 1303411\cdot 225439919 \)	14T63	Trivial
14.2.95991865661378740224.1	x^14 - 2x - 2	\( 2^{14}\cdot 3\cdot 24358673\cdot 80175119 \)	14T63	Trivial
14.2.110878782900601159680.1	x^14 - 10x^6 - 10x^3 - 4x - 2	\( 2^{16}\cdot 3\cdot 5\cdot 24967\cdot 4517632501 \)	14T63	Trivial
14.0.474901604479978658415.1	x^14 - 3x^13 - 9x^12 + 30x^11 + 30x^10 - 115x^9 - 44x^8 + 210x^7 + 23x^6 - 183x^5 + 5x^4 + 65x^3 - 6x^2 - 6x + 3	\( -\,3^{4}\cdot 5\cdot 1172596554271552243 \)	14T63	Trivial
14.2.766590812153862979293.1	x^14 - 3x - 3	\( 3^{13}\cdot 480825285813391 \)	14T63	Trivial
14.12.1072914325448572889988.1	x^14 - 4x^13 - 7x^12 + 41x^11 + 10x^10 - 160x^9 + 24x^8 + 298x^7 - 70x^6 - 266x^5 + 47x^4 + 95x^3 - 6x^2 - 8x - 1	\( -\,2^{2}\cdot 3\cdot 89409527120714407499 \)	14T63	Trivial (GRH)
14.2.1269639102643477413888.1	x^14 - 8x + 4	\( 2^{20}\cdot 3\cdot 403607401098721 \)	14T63	Trivial
14.2.1448631133695616181141.1	x^14 - 3x + 1	\( 16381\cdot 88433620273219961 \)	14T63	Trivial (GRH)
14.2.1448653357709267297173.1	x^14 - 3x - 1	\( 8543\cdot 169571972106902411 \)	14T63	Trivial (GRH)
14.2.1539671805617413006229.1	x^14 - 3x - 2	\( 2617\cdot 4547\cdot 260209\cdot 497252719 \)	14T63	Trivial
14.0.4456733773678935841899.1	x^14 + 7x^12 + 21x^10 + 35x^8 + 35x^6 + 21x^4 + 7x^2 - 3x + 1	\( -\,3^{12}\cdot 8386130866227739 \)	14T63	Trivial (GRH)
14.14.5586931326989478175797.1	x^14 - 5x^13 - 5x^12 + 55x^11 - 18x^10 - 232x^9 + 171x^8 + 461x^7 - 426x^6 - 414x^5 + 442x^4 + 112x^3 - 164x^2 + 18x + 3	\( 3\cdot 53\cdot 647\cdot 7283^{2}\cdot 9049\cdot 113149 \)	14T63	Trivial (GRH)
14.2.7354018265083819320213.1	x^14 - 7x^12 + 21x^10 - 35x^8 + 35x^6 - 21x^4 + 7x^2 - 3x - 1	\( 3^{12}\cdot 17\cdot 813993104993429 \)	14T63	Trivial (GRH)
14.14.13107708723619561567601.1	x^14 - 3x^13 - 13x^12 + 39x^11 + 69x^10 - 197x^9 - 193x^8 + 487x^7 + 301x^6 - 609x^5 - 251x^4 + 357x^3 + 98x^2 - 74x - 11	\( 13107708723619561567601 \)	14T63	Trivial (GRH)
14.0.16267485812441691004011.1	x^14 - 3x + 3	\( -\,3^{13}\cdot 10203381505781257 \)	14T63	$[2]$ (GRH)
14.0.17711165752397725270016.1	x^14 - 2x + 3	\( -\,2^{15}\cdot 307\cdot 135277\cdot 13014721333 \)	14T63	Trivial (GRH)
14.0.17716127755269026150915.1	x^14 - x + 3	\( -\,5\cdot 30931193\cdot 114551855502431 \)	14T63	Trivial (GRH)
14.2.17716128361019239335421.1	x^14 - x - 3	\( 5610778487\cdot 3157516983083 \)	14T63	Trivial (GRH)
14.0.65707400057787872666391.1	x^14 - 4x + 7	\( -\,3\cdot 53\cdot 413254088413760205449 \)	14T63	Trivial (GRH)
14.2.81211387789225068855296.1	x^14 - 4x + 2	\( 2^{27}\cdot 19\cdot 5927\cdot 18973\cdot 283193 \)	14T63	Trivial (GRH)
14.2.81301336042495866286141.1	x^14 - 8x + 3	\( 5386277101\cdot 15094161425041 \)	14T63	Trivial (GRH)
14.2.81302406237133214564352.1	x^14 - 4x + 1	\( 2^{14}\cdot 3\cdot 443\cdot 704947\cdot 5296658981 \)	14T63	$[2]$ (GRH)
14.2.81302417349818263195217.1	x^14 - 8x - 1	\( 19\cdot 4279074597358855957643 \)	14T63	Trivial (GRH)
14.2.81393446909055011389440.1	x^14 - 4x - 2	\( 2^{27}\cdot 3\cdot 5\cdot 17\cdot 31\cdot 76714539691 \)	14T63	Trivial (GRH)
14.2.82130326373613917075493.1	x^14 - 8x - 5	\( 3\cdot 43\cdot 4373\cdot 145590943675893329 \)	14T63	Trivial (GRH)
14.2.85554759063734344660269.1	x^14 - 7x - 2	\( 3\cdot 7^{12}\cdot 971\cdot 13537\cdot 156749 \)	14T63	Trivial (GRH)
14.0.93213028776493975613440.1	x^14 - 4x + 8	\( -\,2^{12}\cdot 5\cdot 11\cdot 18313\cdot 84551\cdot 267224171 \)	14T63	Trivial (GRH)
14.2.93215509929367179350016.1	x^14 - 4x - 8	\( 2^{12}\cdot 3\cdot 2729\cdot 5101\cdot 544939285283 \)	14T63	Trivial (GRH)
14.2.99018545407284172865536.1	x^14 - 4x - 3	\( 2^{14}\cdot 11\cdot 549419308234664489 \)	14T63	Trivial (GRH)
14.0.186427298129424553095168.1	x^14 - 2x + 4	\( -\,2^{12}\cdot 3\cdot 263\cdot 695111\cdot 82988591377 \)	14T63	Trivial (GRH)
14.2.186429779282297756831744.1	x^14 - 2x - 4	\( 2^{12}\cdot 19\cdot 308423\cdot 7767029940697 \)	14T63	Trivial (GRH)