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 all 13 matches)

Label	Polynomial	Discriminant	Galois group	Class group
11.3.6561000000000000000000.1	x^11 - 2x^10 - 5x^9 - 50x^8 + 70x^7 + 232x^6 + 796x^5 - 1400x^4 - 5075x^3 - 10950x^2 + 2805x + 90	\( 2^{18}\cdot 3^{8}\cdot 5^{18} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.36442794820015380778081.1	x^11 + 20x^9 - 26x^8 + 72x^7 - 137x^6 + 199x^5 - 212x^4 + 98x^3 - 11x^2 + x - 1	\( 661^{8} \)	$M_{11}$ (as 11T6)	$[2]$ (GRH)
11.3.294067883764486803456000000.1	x^11 - 2x^10 - 114x^9 + 144x^8 + 4806x^7 - 2592x^6 - 83592x^5 - 5832x^4 + 330237x^3 - 406782x^2 - 708588	\( 2^{18}\cdot 3^{8}\cdot 5^{6}\cdot 149^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.7437245084775387795456000000.1	x^11 - 4x^10 + 6x^9 + 342x^8 - 306x^7 - 5664x^6 - 1416x^5 + 39900x^4 + 57765x^3 - 148040x^2 - 600880x - 580650	\( 2^{18}\cdot 3^{16}\cdot 5^{6}\cdot 59^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.111736797912441458528256000000.1	x^11 - x^10 - 129x^9 + 153x^8 + 6129x^7 - 7857x^6 - 122715x^5 + 139239x^4 + 712962x^3 + 564246x^2 + 3188646x - 25154874	\( 2^{18}\cdot 3^{8}\cdot 5^{6}\cdot 401^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.253519576179328535040000000000.1	x^11 - x^10 - 95x^9 + 135x^8 + 3480x^7 - 8412x^6 - 30408x^5 - 12180x^4 + 973740x^3 - 6637580x^2 + 27421202x - 41776622	\( 2^{18}\cdot 3^{10}\cdot 5^{10}\cdot 109^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.15266822301029155208269824000000.1	x^11 - 2x^10 - 84x^9 + 120x^8 + 3495x^7 - 12042x^6 + 14304x^5 - 428892x^4 + 5153040x^3 - 49404320x^2 + 221690590x - 331642560	\( 2^{18}\cdot 3^{10}\cdot 5^{6}\cdot 631^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.270780633033670518100660224000000.1	x^11 - 126x^9 - 36x^8 + 5814x^7 + 2988x^6 - 111096x^5 - 63000x^4 + 547245x^3 - 614340x^2 + 4618620x + 22234500	\( 2^{18}\cdot 3^{10}\cdot 5^{6}\cdot 1019^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.14354071161059529000000000000000000.1	x^11 - 3x^10 - 105x^9 + 195x^8 + 4305x^7 - 3891x^6 - 71907x^5 - 4035x^4 + 323490x^3 - 689790x^2 - 16446186x - 55091502	\( 2^{18}\cdot 3^{10}\cdot 5^{18}\cdot 79^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.38739734030642940596585926656000000.1	x^11 - 4x^10 - 318x^9 - 156x^8 - 15012x^7 + 643152x^6 - 5337282x^5 + 136254876x^4 - 762562533x^3 + 10531148484x^2 - 46920135888x + 95047524720	\( 2^{18}\cdot 3^{8}\cdot 5^{6}\cdot 7^{8}\cdot 251^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.3.81905390937410041000000000000000000.1	x^11 - 2x^10 - 130x^9 + 280x^8 + 6230x^7 - 13784x^6 - 126712x^5 + 253960x^4 + 803165x^3 + 31690x^2 - 402336x - 17870868	\( 2^{18}\cdot 5^{18}\cdot 659^{6} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.11.118769262421915560193703211428553337469927424.1	x^11 - 4x^10 - 5541x^9 - 17700x^8 + 8989656x^7 + 88565592x^6 - 3982035456x^5 - 53992425120x^4 + 177164975493x^3 + 3011149862548x^2 - 789230330881x - 3422014984884	\( 2^{24}\cdot 3^{10}\cdot 337^{4}\cdot 310501^{4} \)	$M_{11}$ (as 11T6)	Trivial (GRH)
11.11.130527521176011960658406976951299254564347331584000000.1	x^11 - 89045x^9 - 1016268x^8 + 1999274189x^7 + 17620911770x^6 - 14713278229518x^5 - 142840655647272x^4 + 38125562570421876x^3 + 562256553231789768x^2 - 26705329205451737544x - 432518584183431877728	\( 2^{16}\cdot 3^{4}\cdot 5^{6}\cdot 11^{12}\cdot 13^{4}\cdot 17^{4}\cdot 347^{8} \)	$M_{11}$ (as 11T6)	Trivial (GRH)