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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 matches 1-50 of 87)

Label	Polynomial	Discriminant	Galois group	Class group
20.2.350003842200284486878208.1	x^20 - 4x^19 + 2x^18 + 8x^17 + 4x^16 - 40x^15 + 10x^14 + 70x^13 - 2x^12 - 148x^11 + 48x^10 + 160x^9 - 49x^8 - 170x^7 + 100x^6 + 52x^5 - 36x^4 - 34x^3 + 44x^2 - 16x - 1	\( -\,2^{10}\cdot 17^{7}\cdot 97^{6} \)	20T808	Trivial (GRH)
20.2.350003842200284486878208.2	x^20 - 5x^19 + 9x^18 - 8x^17 + 14x^16 - 49x^15 + 82x^14 - 63x^13 + 54x^12 - 108x^11 + 64x^10 + 143x^9 - 223x^8 + 43x^7 + 103x^6 - 57x^5 - 10x^4 + 7x^3 + 2x^2 + x - 1	\( -\,2^{10}\cdot 17^{7}\cdot 97^{6} \)	20T808	Trivial (GRH)
20.0.350003842200284486878208.1	x^20 - 7x^18 + 13x^16 + 31x^14 - 183x^12 + 334x^10 - 239x^8 - 31x^6 + 125x^4 - 52x^2 + 17	\( 2^{10}\cdot 17^{7}\cdot 97^{6} \)	20T808	Trivial (GRH)
20.4.350003842200284486878208.1	x^20 - 6x^19 + 14x^18 - 9x^17 - 37x^16 + 126x^15 - 185x^14 + 86x^13 + 195x^12 - 429x^11 + 299x^10 + 154x^9 - 444x^8 + 259x^7 + 84x^6 - 160x^5 + 35x^4 + 30x^3 - 11x^2 - 2x + 1	\( 2^{10}\cdot 17^{7}\cdot 97^{6} \)	20T808	Trivial (GRH)
20.0.568572957038667426725888.1	x^20 - x^19 - x^18 + x^17 + 7x^16 - x^15 - x^14 - 6x^13 + 25x^12 + 37x^11 + 38x^10 + 20x^9 + 51x^8 + 125x^7 + 197x^6 + 207x^5 + 155x^4 + 84x^3 + 32x^2 + 8x + 1	\( 2^{15}\cdot 1609^{6} \)	20T808	Trivial (GRH)
20.4.658830761788770798829568.1	x^20 - 4x^19 + 7x^18 - 3x^17 - 8x^16 + 21x^15 - 26x^14 + 5x^13 + 47x^12 - 38x^11 - 31x^10 + 45x^9 - 28x^8 + 12x^7 + 86x^6 - 45x^5 - 115x^4 + 3x^3 + 34x^2 + 4x + 1	\( 2^{15}\cdot 17^{6}\cdot 97^{6} \)	20T808	Trivial (GRH)
20.2.5420872721372370875974656.1	x^20 + x^18 - 4x^16 + 10x^14 + 54x^12 + 52x^10 - 9x^8 - 23x^6 + 4x^4 + 4x^2 - 1	\( -\,2^{10}\cdot 3^{16}\cdot 223^{6} \)	20T808	Trivial (GRH)
20.2.5420872721372370875974656.2	x^20 - x^18 + 11x^16 - x^14 + 6x^12 + 23x^10 - 9x^8 + 2x^6 + 13x^4 - x^2 - 1	\( -\,2^{10}\cdot 3^{16}\cdot 223^{6} \)	20T808	Trivial (GRH)
20.2.5420872721372370875974656.3	x^20 - x^18 - 10x^16 + 5x^14 + 15x^12 - 19x^10 - 27x^8 - 7x^6 - 8x^4 - 7x^2 - 1	\( -\,2^{10}\cdot 3^{16}\cdot 223^{6} \)	20T808	Trivial (GRH)
20.6.8628532102283831192126464.1	x^20 - 2x^19 - x^18 + x^17 - 8x^16 + 46x^15 - 64x^14 + 75x^13 - 127x^12 + 55x^11 + 46x^10 + 19x^9 + 40x^8 - 175x^7 + 94x^6 + 4x^5 + 15x^4 - 36x^3 + 25x^2 - 8x - 1	\( -\,2^{10}\cdot 13^{6}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.6.8628532102283831192126464.2	x^20 - 11x^18 + 54x^16 - 152x^14 + 264x^12 - 284x^10 + 175x^8 - 39x^6 - 22x^4 + 16x^2 - 1	\( -\,2^{10}\cdot 13^{6}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.6.8628532102283831192126464.3	x^20 - x^18 + 8x^16 - 19x^14 + 57x^12 - 113x^10 + 67x^8 + 47x^6 - 72x^4 + 25x^2 - 1	\( -\,2^{10}\cdot 13^{6}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.6.48787854492351337883771904.1	x^20 - 12x^18 + 63x^16 - 201x^14 + 450x^12 - 735x^10 + 882x^8 - 783x^6 + 459x^4 - 162x^2 - 9	\( -\,2^{10}\cdot 3^{18}\cdot 223^{6} \)	20T808	Trivial (GRH)
20.2.90974002245803852679233536.1	x^20 + x^18 - 7x^16 - 6x^14 - 35x^12 - 38x^10 - 42x^8 - 76x^6 - 141x^4 - 38x^2 - 1	\( -\,2^{14}\cdot 19^{8}\cdot 83^{6} \)	20T808	Trivial (GRH)
20.0.112170917329689805497644032.1	x^20 + 10x^18 + 48x^16 + 161x^14 + 403x^12 + 686x^10 + 720x^8 + 438x^6 + 164x^4 + 55x^2 + 13	\( 2^{10}\cdot 13^{7}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.4.112170917329689805497644032.1	x^20 + 7x^18 + 26x^16 + 71x^14 + 166x^12 + 190x^10 - 104x^8 - 144x^6 - 114x^4 - 15x^2 + 13	\( 2^{10}\cdot 13^{7}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.0.112170917329689805497644032.2	x^20 + 4x^18 + 6x^16 + 4x^14 - x^12 + 55x^10 + 199x^8 + 340x^6 + 312x^4 + 116x^2 + 13	\( 2^{10}\cdot 13^{7}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.4.112170917329689805497644032.2	x^20 - 7x^19 + 15x^18 + 6x^17 - 68x^16 + 56x^15 + 156x^14 - 358x^13 + 77x^12 + 677x^11 - 975x^10 + 99x^9 + 1011x^8 - 1031x^7 + 214x^6 + 512x^5 - 637x^4 + 202x^3 + 158x^2 - 150x + 41	\( 2^{10}\cdot 13^{7}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.4.112170917329689805497644032.3	x^20 - 4x^19 + 6x^18 - 4x^17 + 8x^16 - 25x^15 + 21x^14 - x^13 + 103x^12 - 380x^11 + 445x^10 + 81x^9 - 580x^8 - 24x^7 + 1437x^6 - 1799x^5 + 514x^4 + 835x^3 - 871x^2 + 235x + 13	\( 2^{10}\cdot 13^{7}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.4.112170917329689805497644032.4	x^20 + x^18 - 8x^16 - 13x^14 - 13x^12 - 25x^10 + 21x^8 + 55x^6 - 24x^4 - 27x^2 + 13	\( 2^{10}\cdot 13^{7}\cdot 347^{6} \)	20T808	Trivial (GRH)
20.8.173467927083915868031188992.1	x^20 - 13x^18 + 65x^16 - 157x^14 + 216x^12 - 181x^10 + 282x^8 - 532x^6 + 496x^4 - 208x^2 + 32	\( 2^{15}\cdot 3^{16}\cdot 223^{6} \)	20T808	Trivial (GRH)
20.8.943855273300214971547047936.1	x^20 - 7x^19 + 15x^18 + 6x^17 - 91x^16 + 200x^15 - 161x^14 - 214x^13 + 813x^12 - 1060x^11 + 307x^10 + 1045x^9 - 1736x^8 + 1137x^7 - 5x^6 - 531x^5 + 340x^4 - 47x^3 - 51x^2 + 24x - 2	\( 2^{11}\cdot 19^{8}\cdot 83^{7} \)	20T808	Trivial (GRH)
20.12.12304157611974151730282412109.2	x^20 - 9x^19 + 33x^18 - 82x^17 + 203x^16 - 342x^15 - 20x^14 + 1122x^13 - 1651x^12 + 638x^11 + 519x^10 - 824x^9 + 1000x^8 - 1168x^7 + 929x^6 - 515x^5 + 274x^4 - 154x^3 + 50x^2 - 2x - 1	\( 61^{7}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.8.12304157611974151730282412109.2	x^20 - 3x^19 - 11x^18 + 26x^17 + 23x^16 - 54x^15 + 19x^14 - 26x^13 + 21x^12 + 42x^11 - 75x^10 + 42x^9 + 21x^8 - 26x^7 + 19x^6 - 54x^5 + 23x^4 + 26x^3 - 11x^2 - 3x + 1	\( 61^{7}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.12.12304157611974151730282412109.3	x^20 - 10x^19 + 36x^18 - 39x^17 - 113x^16 + 496x^15 - 784x^14 + 174x^13 + 1666x^12 - 3392x^11 + 2832x^10 + 354x^9 - 3332x^8 + 3096x^7 - 465x^6 - 1442x^5 + 1152x^4 - 83x^3 - 258x^2 + 111x + 13	\( 61^{7}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.8.12304157611974151730282412109.3	x^20 - 9x^19 + 25x^18 + 23x^17 - 336x^16 + 972x^15 - 1179x^14 - 735x^13 + 5911x^12 - 12885x^11 + 17833x^10 - 17737x^9 + 13107x^8 - 7139x^7 + 2695x^6 - 536x^5 - 86x^4 + 111x^3 - 44x^2 + 10x - 1	\( 61^{7}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.12.80077878228749807162657665693.2	x^20 - 5x^19 - 3x^18 + 27x^17 - 8x^15 - 13x^14 - 86x^13 + 10x^12 + 85x^11 - 98x^10 - 248x^9 - 258x^8 - 157x^7 + 181x^6 + 587x^5 + 653x^4 + 383x^3 + 122x^2 + 19x + 1	\( 61^{6}\cdot 397^{7} \)	20T808	Trivial (GRH)
20.8.80077878228749807162657665693.2	x^20 - 11x^18 - 7x^17 + 14x^16 + 3x^15 + 25x^14 + 68x^13 + 32x^12 + 35x^11 + 77x^10 + 35x^9 + 32x^8 + 68x^7 + 25x^6 + 3x^5 + 14x^4 - 7x^3 - 11x^2 + 1	\( 61^{6}\cdot 397^{7} \)	20T808	Trivial (GRH)
20.14.206548481879697235603429344256.1	x^20 - 16x^18 + 69x^16 - 19x^14 - 264x^12 + 95x^10 + 332x^8 - 7x^6 - 67x^4 + 16x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.2.206548481879697235603429344256.1	x^20 + 13x^18 + 62x^16 + 114x^14 - 54x^12 - 574x^10 - 969x^8 - 737x^6 - 254x^4 - 32x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	$[2]$ (GRH)
20.6.206548481879697235603429344256.1	x^20 - 5x^19 - x^18 + 24x^17 - 11x^16 - 2x^15 + 16x^14 - 28x^13 + 2x^12 + 27x^11 - 14x^10 + 27x^9 + 2x^8 - 28x^7 + 16x^6 - 2x^5 - 11x^4 + 24x^3 - x^2 - 5x + 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.14.206548481879697235603429344256.2	x^20 - 17x^18 + 76x^16 - 24x^14 - 471x^12 + 659x^10 + 489x^8 - 1266x^6 + 675x^4 - 108x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.6.206548481879697235603429344256.2	x^20 + 6x^18 - 59x^16 - 574x^14 - 1411x^12 - 440x^10 + 1497x^8 + 778x^6 - 288x^4 - 56x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.10.206548481879697235603429344256.3	x^20 - 4x^18 - 27x^16 + 114x^14 + 59x^12 - 320x^10 - 235x^8 + 70x^6 + 56x^4 - 6x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.14.206548481879697235603429344256.3	x^20 - 4x^19 - 12x^18 + 54x^17 + 52x^16 - 266x^15 - 212x^14 + 826x^13 + 698x^12 - 1923x^11 - 1232x^10 + 2994x^9 + 1066x^8 - 2717x^7 - 451x^6 + 1303x^5 + 116x^4 - 291x^3 - 19x^2 + 19x - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.6.206548481879697235603429344256.3	x^20 + 13x^18 + 9x^16 - 190x^14 - 309x^12 + 187x^10 + 490x^8 + 75x^6 - 161x^4 - 55x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.10.206548481879697235603429344256.4	x^20 - 7x^18 - 4x^16 + 85x^14 - 65x^12 - 195x^10 + 119x^8 + 171x^6 - 16x^4 - 21x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.14.206548481879697235603429344256.4	x^20 - 11x^18 + 20x^16 + 106x^14 - 302x^12 - 30x^10 + 220x^8 - 39x^6 - 38x^4 + 13x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.6.206548481879697235603429344256.4	x^20 + 6x^18 - 34x^16 - 216x^14 + 39x^12 + 733x^10 + 223x^8 - 504x^6 - 312x^4 - 42x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.10.206548481879697235603429344256.5	x^20 + 8x^18 - 36x^16 - 287x^14 - 149x^12 + 1224x^10 + 1238x^8 - 562x^6 - 192x^4 + 39x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.14.206548481879697235603429344256.5	x^20 - 14x^18 + 40x^16 + 145x^14 - 629x^12 + 316x^10 + 572x^8 - 498x^6 + 74x^4 + 11x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.10.206548481879697235603429344256.6	x^20 + 8x^18 - 6x^16 - 134x^14 - 107x^12 + 301x^10 + 215x^8 - 174x^6 - 20x^4 + 14x^2 - 1	\( -\,2^{10}\cdot 61^{6}\cdot 397^{6} \)	20T808	Trivial (GRH)
20.10.2420153776720347042437666538496.1	x^20 - 3x^18 - 54x^16 + 82x^14 + 773x^12 - 19x^10 - 1105x^8 - 406x^6 + 43x^4 + 12x^2 - 1	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)
20.6.2420153776720347042437666538496.1	x^20 + 14x^18 + 66x^16 + 87x^14 - 195x^12 - 572x^10 - 154x^8 + 446x^6 + 140x^4 - 79x^2 - 25	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)
20.10.2420153776720347042437666538496.2	x^20 - 8x^18 - 10x^16 + 151x^14 - 39x^12 - 608x^10 + 636x^8 + 60x^6 - 150x^4 - 33x^2 - 1	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)
20.10.2420153776720347042437666538496.3	x^20 - 3x^19 - 11x^18 + 25x^17 + 42x^16 - 19x^15 - 88x^14 - 67x^13 - 3x^12 + 80x^11 + 118x^10 + 80x^9 - 3x^8 - 67x^7 - 88x^6 - 19x^5 + 42x^4 + 25x^3 - 11x^2 - 3x + 1	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)
20.2.2420153776720347042437666538496.3	x^20 + 23x^18 + 180x^16 + 673x^14 + 1291x^12 + 1099x^10 - 127x^8 - 995x^6 - 750x^4 - 229x^2 - 25	\( -\,2^{10}\cdot 36497^{6} \)	20T808	$[4]$ (GRH)
20.10.2420153776720347042437666538496.4	x^20 - 16x^18 + 39x^16 + 136x^14 - 376x^12 - 288x^10 + 477x^8 + 280x^6 - 37x^4 - 16x^2 - 1	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)
20.10.2420153776720347042437666538496.5	x^20 - 2x^18 - 51x^16 + 78x^14 + 885x^12 - 1001x^10 - 6051x^8 + 5352x^6 + 15002x^4 - 8559x^2 - 10201	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)
20.10.2420153776720347042437666538496.6	x^20 + 12x^18 + 13x^16 - 249x^14 - 471x^12 + 1528x^10 + 1697x^8 - 2037x^6 - 203x^4 + 173x^2 - 1	\( -\,2^{10}\cdot 36497^{6} \)	20T808	Trivial (GRH)