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 79)

Label	Polynomial	Discriminant	Galois group	Class group
11.3.64283038681.1	x^11 - x^10 - 5x^9 + 3x^8 + 10x^7 - 3x^6 - 11x^5 + 3x^4 + 5x^3 - 2x^2 + 1	\( 71^{2}\cdot 3571^{2} \)	$A_{11}$ (as 11T7)	Trivial
11.3.136113034225.1	x^11 - 2x^10 + x^9 + 4x^8 - 6x^7 + 8x^5 - 7x^4 - 2x^3 + 5x^2 - 2x - 1	\( 5^{2}\cdot 7^{2}\cdot 83^{2}\cdot 127^{2} \)	$A_{11}$ (as 11T7)	Trivial
11.3.836463893056.1	x^11 - x^9 + x^7 - x^6 + 2x^5 + x^4 - 2x^3 - x - 1	\( 2^{6}\cdot 11^{2}\cdot 19^{2}\cdot 547^{2} \)	$A_{11}$ (as 11T7)	Trivial
11.3.6912019581184.1	x^11 - x^9 - x^8 + 3x^5 + 2x^4 - 4x^3 - 3x^2 + x + 1	\( 2^{8}\cdot 37^{2}\cdot 4441^{2} \)	$A_{11}$ (as 11T7)	Trivial
11.3.31421675094016.1	x^11 - 3x^10 + 3x^9 - x^8 - x^5 - x^4 + 2x^2 - x - 1	\( 2^{14}\cdot 43793^{2} \)	$A_{11}$ (as 11T7)	Trivial
11.3.377913600000000.1	x^11 - x^10 + 7x^9 - 3x^8 + 3x^7 - 3x^6 - 7x^5 + x^4 - 4x^3 + 4x^2 + 2x - 2	\( 2^{14}\cdot 3^{10}\cdot 5^{8} \)	$A_{11}$ (as 11T7)	Trivial
11.3.590490000000000.1	x^11 - x^10 + x^9 - 5x^8 - 7x^7 + 7x^6 - 7x^5 + 31x^4 - 40x^3 + 8x^2 + 16x - 16	\( 2^{10}\cdot 3^{10}\cdot 5^{10} \)	$A_{11}$ (as 11T7)	Trivial
11.3.1360488960000000000.1	x^11 - 3x^10 - 15x^9 + 25x^8 + 60x^7 + 132x^6 - 116x^5 - 300x^4 + 1035x^3 - 585x^2 + 891x + 27	\( 2^{18}\cdot 3^{12}\cdot 5^{10} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.2824752490000000000.1	x^11 - 2x^10 + 5x^9 + 10x^8 - 10x^7 + 14x^6 + 77x^5 + 150x^4 - 160x^3 + 400x^2 - 208x - 254	\( 2^{10}\cdot 5^{10}\cdot 7^{10} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.4740548198400000000.1	x^11 + 15x^9 - 2x^8 + 90x^7 + 24x^6 - 64x^5 + 300x^4 - 1203x^3 + 240x^2 + 45x + 54	\( 2^{22}\cdot 3^{10}\cdot 5^{8}\cdot 7^{2} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.21767823360000000000.1	x^11 - 3x^10 - 15x^9 + 45x^8 + 135x^7 + 3x^6 - 99x^5 - 135x^4 - 945x^3 - 1485x^2 - 729x + 27	\( 2^{22}\cdot 3^{12}\cdot 5^{10} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.210616363107110354944.1	x^11 - 22x^7 + 121x^3 - 128	\( 2^{26}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.236126248960000000000.1	x^11 - 2x^10 - 90x^7 + 36x^6 + 28x^5 + 40x^4 - 35x^3 - 10x^2 - 4x + 8	\( 2^{22}\cdot 5^{10}\cdot 7^{8} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.1707918863311856600064.1	x^11 + 11x^9 - 77x^8 + 99x^7 - 121x^6 - 242x^5 + 957x^4 - 4576x^3 + 16962x^2 - 9372x + 1362	\( 2^{10}\cdot 3^{12}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.8353082583040000000000.1	x^11 - x^10 - 5x^9 - 35x^8 + 80x^7 + 112x^6 + 288x^5 - 1440x^4 - 6400x + 6400	\( 2^{20}\cdot 5^{10}\cdot 13^{8} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.8646339245516274037824.1	x^11 - 33x^8 + 363x^5 - 1331x^2 + 972	\( 2^{6}\cdot 3^{16}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.38384832176270862188544.1	x^11 - 22x^8 - 44x^7 - 88x^4 - 44x^3 + 8	\( 2^{24}\cdot 3^{6}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.48580803223092809957376.1	x^11 - 6336x^3 - 55296	\( 2^{18}\cdot 3^{10}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.154810870512712119484416.1	x^11 - 2x^10 + 10x^9 + 44x^8 + 155x^7 - 2506x^6 + 10244x^5 - 10204x^4 - 130048x^3 + 595392x^2 - 986880x + 584448	\( 2^{24}\cdot 3^{16}\cdot 11^{8} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.158085814149943837065216.1	x^11 - 2x^10 + 9x^9 - 82x^8 - 172x^7 - 408x^6 - 2173x^5 - 1708x^4 - 870x^3 - 4416x^2 + 13194x + 17928	\( 2^{18}\cdot 3^{10}\cdot 7^{8}\cdot 11^{6} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.548820632707794622365696.1	x^11 + 44x^9 - 22x^8 + 132x^7 - 572x^6 - 7744x^5 + 4224x^4 + 30976x^3 - 19712x^2 + 32768	\( 2^{14}\cdot 3^{6}\cdot 11^{16} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.1809775949384749306640625.1	x^11 - 16335x^2 + 26730x - 10935	\( 3^{10}\cdot 5^{10}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.2755583979243765797687296.1	x^11 - 242x^7 + 14641x^3 - 85184	\( 2^{12}\cdot 11^{20} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.7977463845445163525929209.1	x^11 - 363x^2 + 594x - 243	\( 3^{26}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.16601824139410787326562304.1	x^11 - 66x^9 - 198x^8 + 1188x^7 + 8052x^6 + 12144x^5 - 32208x^4 - 161568x^3 - 278960x^2 - 227040x - 71136	\( 2^{12}\cdot 3^{6}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.32137506577623040000000000.1	x^11 - 26620x^3 - 58080x^2 - 42240x - 10240	\( 2^{20}\cdot 5^{10}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.84046734705767110840721664.3	x^11 - 88x^8 - 594x^7 - 792x^6 - 2563x^5 + 26136x^4 + 77220x^3 + 346896x^2 + 513216x + 886464	\( 2^{8}\cdot 3^{10}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.146591851900164693837890625.1	x^11 - 55x^2 + 45	\( 3^{14}\cdot 5^{10}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.542744570674703420100000000.1	x^11 - 3x^10 - 70x^9 - 120x^8 + 810x^7 - 42x^6 - 98514x^5 - 697410x^4 - 1695060x^3 + 24700x^2 + 23035506x + 66942152	\( 2^{8}\cdot 3^{12}\cdot 5^{8}\cdot 7^{8}\cdot 11^{6} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.815730721000000000000000000.1	x^11 - 2x^10 - 2250x^7 + 900x^6 + 700x^5 + 1000x^4 - 875x^3 - 250x^2 - 100x + 200	\( 2^{18}\cdot 5^{18}\cdot 13^{8} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.1961517735450625000000000000.1	x^11 - 1100x - 1000	\( 2^{12}\cdot 5^{16}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.2025456846297660291004498944.1	x^11 - 22x^8 + 2112x^7 + 1914x^6 + 968x^5 - 23232x^4 - 92565x^3 + 359370x^2 - 362637x + 106920	\( 2^{10}\cdot 3^{16}\cdot 11^{16} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.2266585955176618141371334656.1	x^11 - 66x^9 - 594x^8 - 1782x^7 - 32076x^4 - 104247x^3 - 128304x^2 - 144342x - 100602	\( 2^{24}\cdot 3^{16}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.5057930951035035239722254336.1	x^11 - 110x^9 - 484x^8 + 5401x^7 + 22484x^6 - 116248x^5 - 453904x^4 - 2387968x^3 - 6994944x^2 - 7118848x - 2506752	\( 2^{24}\cdot 3^{8}\cdot 11^{16} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.12102729797630463961063919616.3	x^11 - 220x^9 - 726x^8 + 16104x^7 + 81048x^6 - 375936x^5 - 1603536x^4 + 3734544x^3 - 1054240x^2 - 18249792x + 152567584	\( 2^{12}\cdot 3^{12}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.91526894094580383705545892096.1	x^11 - 99x^9 - 990x^8 - 10758x^7 - 55572x^6 - 226974x^5 - 510312x^4 - 1004619x^3 + 940148x^2 - 158367x + 7830	\( 2^{8}\cdot 3^{12}\cdot 11^{20} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.102423101758459463604375650304.1	x^11 - 132x^9 - 539x^8 + 6006x^7 + 47784x^6 + 3784x^5 - 1057386x^4 - 4290000x^3 - 5549808x^2 + 2160576x + 2744928	\( 2^{22}\cdot 3^{12}\cdot 11^{16} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.193643676762087423377022713856.6	x^11 - 33x^9 - 550x^8 + 4719x^7 + 15972x^6 - 21659x^5 - 932910x^4 - 37752x^3 - 3348312x^2 + 15267780x + 214716744	\( 2^{16}\cdot 3^{12}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.245080278402016895211544372224.1	x^11 - 99x^9 - 462x^8 + 3267x^7 + 45738x^6 - 29403x^5 - 1450548x^4 - 588060x^3 + 13747536x^2 + 15054336x + 10264320	\( 2^{10}\cdot 3^{16}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.346244090514113000257344140625.1	x^11 - 11x^9 - 32805	\( 3^{24}\cdot 5^{8}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.567759154983779310363459629289.1	x^11 - 11x^9 - 15309	\( 3^{22}\cdot 7^{8}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.612009645075239264006392774656.1	x^11 + 66x^9 - 638x^8 - 4356x^7 - 40656x^6 - 239096x^5 - 124872x^4 - 3637260x^3 + 12634336x^2 - 47802744x + 91022184	\( 2^{24}\cdot 3^{8}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.774574707048349693508090855424.1	x^11 + 66x^9 - 638x^8 + 3630x^7 - 11616x^6 + 543532x^5 + 1618980x^4 + 12199341x^3 - 42851424x^2 - 173392758x + 382873986	\( 2^{18}\cdot 3^{12}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.804344866393221914062500000000.1	x^11 - 1002375x - 2733750	\( 2^{8}\cdot 3^{8}\cdot 5^{16}\cdot 11^{12} \)	$A_{11}$ (as 11T7)	$[2]$ (GRH)
11.3.980321113608067580846177488896.1	x^11 - 352x^8 - 264x^7 + 2112x^6 + 89672x^5 + 46464x^4 - 1172160x^3 - 2889216x^2 + 3649536x + 16920576	\( 2^{12}\cdot 3^{16}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.3921284454432270323384709955584.1	x^11 - 528x^8 - 2376x^7 + 9504x^6 + 260568x^5 + 627264x^4 - 8382528x^3 - 26687232x^2 + 73903104x + 282175488	\( 2^{14}\cdot 3^{16}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.5508086805677153376057534971904.1	x^11 - 132x^9 - 286x^8 + 49368x^6 + 161656x^5 - 981552x^4 - 1467972x^3 + 12613040x^2 + 26763264x + 17551512	\( 2^{24}\cdot 3^{10}\cdot 11^{18} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.7413678421661011080149217259776.1	x^11 - 99x^9 - 462x^8 + 1584x^7 + 22176x^6 + 96096x^5 + 234432x^4 + 354816x^3 + 332288x^2 + 177408x - 631310436	\( 2^{8}\cdot 3^{16}\cdot 11^{20} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.8296271242435216551954427674624.1	x^11 - 66x^9 - 484x^8 + 5643x^7 + 924x^6 + 207328x^5 - 1002936x^4 - 1198032x^3 + 38880512x^2 - 38856576x + 9899136	\( 2^{22}\cdot 3^{16}\cdot 11^{16} \)	$A_{11}$ (as 11T7)	Trivial (GRH)
11.3.10413726616983368101608777056256.1	x^11 - 2904x^7 + 2108304x^3 - 73598976	\( 2^{18}\cdot 3^{10}\cdot 11^{20} \)	$A_{11}$ (as 11T7)	Trivial (GRH)