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 matches 1-50 of 208)

Label	Polynomial	Discriminant	Galois group	Class group
11.3.11239665258721.1	x^11 - 2x^10 + 3x^9 + 2x^8 - 5x^7 + 16x^6 - 10x^5 + 10x^4 + 2x^3 - 3x^2 + 4x - 1	\( 1831^{4} \)	$\PSL(2,11)$ (as 11T5)	Trivial
11.3.11239665258721.2	x^11 - 2x^10 + x^9 - 5x^8 + 13x^7 - 9x^6 + x^5 - 8x^4 + 9x^3 - 3x^2 - 2x + 1	\( 1831^{4} \)	$\PSL(2,11)$ (as 11T5)	Trivial
11.3.2872361357688242176.1	x^11 - 3x^10 - 6x^9 + 64x^8 - 201x^7 + 177x^6 + 778x^5 - 3498x^4 + 7108x^3 - 8336x^2 + 5436x - 1532	\( 2^{16}\cdot 31^{4}\cdot 83^{4} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.2872361357688242176.2	x^11 - 4x^10 - 9x^9 - 2x^8 - 87x^7 + 144x^6 - 17x^5 + 122x^4 - 26x^3 - 72x^2 - 24x + 328	\( 2^{16}\cdot 31^{4}\cdot 83^{4} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.11763130845074473216.1	x^11 - 11x^9 - 55x^8 + 77x^7 + 792x^6 - 352x^5 - 4037x^4 + 737x^3 + 7557x^2 - 528x - 1858	\( 2^{8}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial
11.3.11763130845074473216.2	x^11 - 22x^9 - 11x^8 + 143x^7 + 143x^6 - 209x^5 - 1188x^4 - 3619x^3 - 4059x^2 - 2948x - 3486	\( 2^{8}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.16660083409839783936.1	x^11 - 22x^9 + 165x^7 - 44x^6 - 858x^5 - 660x^4 + 924x^3 + 1760x^2 + 968x + 176	\( 2^{16}\cdot 3^{4}\cdot 11^{12} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.16660083409839783936.2	x^11 - 22x^9 - 44x^8 + 143x^7 + 484x^6 + 594x^5 - 1188x^4 - 3168x^3 + 528x^2 + 2640x + 1376	\( 2^{16}\cdot 3^{4}\cdot 11^{12} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.11.31376518243389673201.1	x^11 - 4x^10 - 25x^9 + 81x^8 + 237x^7 - 562x^6 - 1010x^5 + 1574x^4 + 1805x^3 - 1586x^2 - 847x + 579	\( 74843^{4} \)	$\PSL(2,11)$ (as 11T5)	Trivial
11.11.31376518243389673201.2	x^11 - 20x^9 + 143x^7 - 4x^6 - 463x^5 + 54x^4 + 691x^3 - 186x^2 - 392x + 177	\( 74843^{4} \)	$\PSL(2,11)$ (as 11T5)	Trivial
11.3.450353302392870749961.1	x^11 - 11x^9 - 11x^8 - 11x^7 + 66x^6 + 451x^5 + 1155x^4 + 1100x^3 - 913x^2 - 1034x + 556	\( 3^{4}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.450353302392870749961.2	x^11 - 33x^9 - 22x^8 + 308x^7 + 341x^6 - 330x^5 + 77x^4 - 1628x^3 - 3806x^2 + 858x + 361	\( 3^{4}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.960704360612919337536.1	x^11 + 33x^9 - 11x^8 + 264x^7 - 363x^6 + 726x^5 - 396x^4 + 5544x^3 + 3168x^2 - 7128x - 2700	\( 2^{6}\cdot 3^{14}\cdot 11^{12} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.960704360612919337536.2	x^11 - 55x^8 + 132x^6 + 33x^5 + 2970x^4 - 2772x^3 - 9537x^2 + 1782x + 6480	\( 2^{6}\cdot 3^{14}\cdot 11^{12} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.3011361496339065143296.1	x^11 + 11x^9 - 44x^8 - 352x^7 - 1958x^6 - 7744x^5 - 17424x^4 - 9196x^3 + 18392x^2 + 5808x - 13288	\( 2^{16}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.3011361496339065143296.2	x^11 - 33x^9 - 22x^8 + 396x^7 - 132x^6 - 1408x^5 + 4048x^4 + 26048x^3 + 16192x^2 - 352000x - 60672	\( 2^{16}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.22773421316064180146176.1	x^11 - 110x^8 + 11x^7 + 1254x^6 - 308x^5 - 2464x^4 + 11880x^3 + 18832x^2 - 14696x - 22512	\( 2^{12}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.22773421316064180146176.2	x^11 - 165x^8 + 22x^7 - 242x^6 + 4631x^5 + 9262x^4 + 14696x^3 - 70895x^2 + 54296x + 17642	\( 2^{12}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.22773421316064180146176.3	x^11 - 22x^9 + 66x^7 - 682x^6 + 1936x^5 + 3322x^4 + 2189x^3 - 19382x^2 - 40810x - 9242	\( 2^{12}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.22773421316064180146176.4	x^11 - 44x^9 - 44x^8 - 88x^7 - 2420x^6 - 770x^5 + 8932x^4 + 13596x^3 + 4444x^2 + 1232x - 144	\( 2^{12}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.109306807251958822404096.1	x^11 + 11x^9 - 88x^8 + 99x^7 - 1034x^6 + 3971x^5 - 6072x^4 + 27412x^3 - 77198x^2 + 77352x - 25912	\( 2^{16}\cdot 3^{12}\cdot 11^{12} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.109306807251958822404096.2	x^11 - 22x^9 - 88x^8 + 1672x^6 + 4202x^5 + 4224x^4 - 28028x^3 - 77528x^2 - 138864x - 70480	\( 2^{16}\cdot 3^{12}\cdot 11^{12} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.243920281203464276606976.1	x^11 + 33x^9 - 110x^8 + 363x^7 - 1980x^6 + 1463x^5 - 6666x^4 + 5016x^3 - 6292x^2 - 9504x + 13392	\( 2^{16}\cdot 3^{4}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.243920281203464276606976.2	x^11 - 11x^9 - 110x^8 - 220x^7 + 3608x^6 + 462x^5 - 18040x^4 - 68222x^3 + 81972x^2 + 352176x + 515160	\( 2^{16}\cdot 3^{4}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.243920281203464276606976.3	x^11 - 22x^8 - 88x^7 - 880x^6 + 352x^5 - 7216x^4 + 53504x^3 - 72864x^2 + 528000x - 461952	\( 2^{16}\cdot 3^{4}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.243920281203464276606976.4	x^11 - 22x^9 - 66x^8 + 1276x^6 + 5038x^5 + 11264x^4 + 14168x^3 + 2156x^2 - 7744x + 224	\( 2^{16}\cdot 3^{4}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.243920281203464276606976.5	x^11 - 44x^9 - 110x^8 + 902x^7 + 1056x^6 - 7414x^5 + 16808x^4 + 42515x^3 - 223476x^2 - 743820x - 344186	\( 2^{16}\cdot 3^{4}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.243920281203464276606976.6	x^11 - 55x^9 - 154x^8 - 264x^7 - 2024x^6 - 7150x^5 + 3432x^4 - 15554x^3 + 31900x^2 + 20592x + 86888	\( 2^{16}\cdot 3^{4}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.364374741057026882338816.1	x^11 + 22x^9 - 154x^8 - 396x^7 + 2728x^6 - 8030x^5 - 8052x^4 + 69399x^3 - 83160x^2 + 32076x - 30618	\( 2^{16}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.364374741057026882338816.2	x^11 + 33x^9 - 176x^8 + 99x^7 + 154x^6 - 4543x^5 + 10472x^4 - 23848x^3 + 12650x^2 + 16060x - 64092	\( 2^{16}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.364374741057026882338816.3	x^11 - 220x^8 - 1111x^7 - 440x^6 - 10934x^5 - 2508x^4 - 18260x^3 - 120208x^2 + 293656x - 303920	\( 2^{16}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.364374741057026882338816.4	x^11 - 66x^9 - 44x^8 + 1914x^7 + 3564x^6 - 21736x^5 - 61204x^4 + 62645x^3 + 236852x^2 - 171622x - 498048	\( 2^{16}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.1844647126601198591840256.1	x^11 - 33x^9 - 176x^8 + 286x^7 + 1628x^6 - 1760x^5 - 23320x^4 - 116380x^3 - 216920x^2 - 431024x - 382752	\( 2^{12}\cdot 3^{4}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.1844647126601198591840256.2	x^11 - 55x^9 - 88x^8 + 1716x^7 + 330x^6 - 23518x^5 + 6116x^4 + 277178x^3 - 734316x^2 + 648384x - 108216	\( 2^{12}\cdot 3^{4}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.6251410019437223120384256.1	x^11 - 55x^9 - 176x^8 + 2343x^7 + 13904x^6 - 9801x^5 - 183744x^4 - 222552x^3 + 589248x^2 + 1477872x + 873216	\( 2^{8}\cdot 3^{12}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.6251410019437223120384256.2	x^11 - 55x^9 - 55x^8 + 1056x^7 + 220x^6 - 10560x^5 + 32670x^4 - 64713x^3 + 96228x^2 - 107217x + 65097	\( 2^{8}\cdot 3^{12}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.6251410019437223120384256.3	x^11 - 88x^8 + 66x^7 - 1584x^6 + 2508x^5 + 18216x^4 - 8019x^3 - 240768x^2 + 96228x + 425088	\( 2^{8}\cdot 3^{12}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.6251410019437223120384256.4	x^11 - 88x^9 - 253x^8 + 1716x^7 + 17017x^6 + 24079x^5 - 117777x^4 - 685267x^3 - 1543674x^2 - 1897137x - 1140267	\( 2^{8}\cdot 3^{12}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.11113617812332841102905344.1	x^11 - 66x^8 - 957x^7 + 6666x^6 - 7062x^5 - 36696x^4 + 147444x^3 - 379896x^2 + 783288x - 735168	\( 2^{12}\cdot 3^{10}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.11113617812332841102905344.2	x^11 - 66x^9 - 66x^8 - 99x^7 - 4950x^6 + 6237x^5 - 19404x^4 - 10692x^3 + 38016x^2 - 27324x + 64368	\( 2^{12}\cdot 3^{10}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.29514354025619177469444096.1	x^11 - 66x^9 - 198x^8 + 858x^7 - 396x^6 + 43846x^5 - 116424x^4 - 244629x^3 - 348480x^2 - 23958x + 86886	\( 2^{16}\cdot 3^{4}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.29514354025619177469444096.2	x^11 - 77x^9 - 198x^8 + 1903x^7 + 7260x^6 + 30085x^5 + 162426x^4 - 224312x^3 - 891792x^2 + 1575376x - 2400864	\( 2^{16}\cdot 3^{4}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.84046734705767110840721664.1	x^11 - 33x^9 - 297x^8 + 363x^7 + 1089x^6 + 37752x^5 - 159357x^4 + 39930x^3 + 710754x^2 - 1237104x + 623040	\( 2^{8}\cdot 3^{10}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.84046734705767110840721664.2	x^11 - 66x^8 - 1419x^7 + 1386x^6 + 19998x^5 + 104544x^4 - 485496x^3 - 678480x^2 + 2627328x - 2069952	\( 2^{8}\cdot 3^{10}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.177817884997325457646485504.1	x^11 + 33x^9 - 66x^8 + 957x^7 + 3960x^6 + 35937x^5 + 285318x^4 - 422532x^3 + 2482920x^2 + 6551424x - 36026496	\( 2^{16}\cdot 3^{10}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.177817884997325457646485504.2	x^11 - 66x^9 - 330x^8 + 858x^7 + 13926x^6 + 23826x^5 - 248754x^4 - 613767x^3 + 1765830x^2 + 5101140x + 1144248	\( 2^{16}\cdot 3^{10}\cdot 11^{16} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.394908733295352365121407761.1	x^11 - 3x^10 + 7x^9 - 25x^8 + 46x^7 - 36x^6 - 10x^5 + 90x^4 - 151x^3 + 150x^2 - 95x + 27	\( 19^{4}\cdot 23^{4}\cdot 101^{8} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.394908733295352365121407761.2	x^11 - 3x^10 - 14x^9 - 5x^8 + 78x^7 + 357x^6 + 768x^5 + 1043x^4 + 607x^3 - 1080x^2 - 2332x - 1447	\( 19^{4}\cdot 23^{4}\cdot 101^{8} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.756420612351903997566494976.1	x^11 + 44x^9 - 99x^8 + 792x^7 + 10593x^6 - 31548x^5 - 17523x^4 + 638319x^3 - 1182841x^2 - 5446584x + 1269286	\( 2^{8}\cdot 3^{12}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)
11.3.756420612351903997566494976.2	x^11 - 55x^9 - 847x^8 + 198x^7 + 30976x^6 + 81158x^5 + 149754x^4 - 2919719x^3 - 393800x^2 + 15347409x + 27801869	\( 2^{8}\cdot 3^{12}\cdot 11^{18} \)	$\PSL(2,11)$ (as 11T5)	Trivial (GRH)