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 292460)

Label	Polynomial	Discriminant	Galois group	Class group
10.4.3120654523.1	x^10 - 2x^9 + 2x^8 - 7x^7 + 8x^6 - 3x^5 + 8x^4 - 7x^3 + 2x^2 - 2x + 1	\( -\,7^{2}\cdot 43\cdot 1217^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3202088651.1	x^10 - 2x^9 - x^8 + 2x^7 + 2x^6 - 5x^4 + 3x^3 + 4x^2 - 2x - 1	\( -\,53^{2}\cdot 59\cdot 139^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3259151627.1	x^10 - x^9 - 2x^8 + x^7 + x^6 - 2x^5 + 4x^4 + x^3 - 5x^2 + 1	\( -\,107\cdot 5519^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3312142387.1	x^10 - 2x^9 - 3x^8 + 8x^7 - 8x^5 + 2x^4 + 3x^3 + 2x^2 - x - 1	\( -\,67\cdot 79^{2}\cdot 89^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3316535227.1	x^10 - x^7 + x^6 + 3x^5 - 2x^3 - 3x^2 + x + 1	\( -\,1483\cdot 2236369 \)	$S_{10}$ (as 10T45)	Trivial
10.4.3338068347.1	x^10 - 2x^9 - 2x^8 + 5x^7 + x^6 - 3x^5 - 2x^3 - x^2 + 3x + 1	\( -\,3^{3}\cdot 11119^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3393524187.1	x^10 - 4x^9 + 7x^8 - 4x^7 - 6x^6 + 13x^5 - 9x^4 - x^3 + 5x^2 - 4x + 1	\( -\,3^{3}\cdot 1367\cdot 91943 \)	$S_{10}$ (as 10T45)	Trivial
10.4.3398303207.1	x^10 - 3x^9 + 3x^8 + x^7 - 5x^6 + 8x^5 - 15x^4 + 13x^3 - 5x^2 + 2x + 1	\( -\,13^{2}\cdot 167\cdot 347^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3405971875.1	x^10 - 3x^9 + 5x^8 - 4x^7 - 2x^6 + 8x^5 - 8x^4 + x^3 + 3x^2 - 3x + 1	\( -\,5^{5}\cdot 1039\cdot 1049 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.3409004107.1	x^10 - x^8 - x^7 - x^6 - 3x^5 + 3x^4 + x^3 + 3x - 1	\( -\,3409004107 \)	$S_{10}$ (as 10T45)	Trivial
10.4.3410947967.1	x^10 - 2x^9 - 2x^8 + 7x^7 - x^6 - 8x^5 + 2x^4 + 6x^3 - 3x - 1	\( -\,7^{2}\cdot 47\cdot 1217^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3419621875.1	x^10 - 3x^9 + x^8 + 6x^7 - 9x^6 + 2x^5 + 6x^4 - 5x^3 + x^2 + 1	\( -\,5^{5}\cdot 61\cdot 17939 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.3444638167.1	x^10 - 2x^9 + x^8 + 2x^7 - 5x^6 + 4x^4 - 4x^3 - x^2 + 4x - 1	\( -\,103\cdot 5783^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3514218623.1	x^10 - x^9 + x^8 - x^7 - x^6 - 5x^4 + x^3 + 5x^2 - 1	\( -\,47\cdot 8647^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3607983971.1	x^10 - x^9 + 2x^8 - x^7 + x^5 - 3x^4 + x^3 - x^2 - x + 1	\( -\,3607983971 \)	$S_{10}$ (as 10T45)	Trivial
10.4.3636270163.1	x^10 - 5x^9 + 11x^8 - 14x^7 + 11x^6 - 5x^5 - 2x^4 + 6x^3 - 8x^2 + 5x - 1	\( -\,53^{2}\cdot 67\cdot 139^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3731656723.1	x^10 - 2x^9 + x^8 - x^6 + 3x^5 - 4x^4 - 2x^3 + 5x^2 + x - 1	\( -\,17^{2}\cdot 67\cdot 439^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3804221875.1	x^10 - x^9 + 2x^8 - 2x^7 + x^5 - 3x^4 + 2x^3 - 2x^2 + 1	\( -\,5^{5}\cdot 1217351 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.3830871875.1	x^10 - x^9 - 3x^6 + 2x^5 + 2x^2 - x - 1	\( -\,5^{5}\cdot 1225879 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.3851489219.1	x^10 - x^9 + x^7 + x^6 - 3x^4 + 4x^3 - 3x + 1	\( -\,23\cdot 167456053 \)	$S_{10}$ (as 10T45)	Trivial
10.4.3911509571.1	x^10 - x^9 + x^8 - 3x^7 - x^6 - x^5 + 3x^3 + x - 1	\( -\,167\cdot 1609\cdot 14557 \)	$S_{10}$ (as 10T45)	Trivial
10.4.3918423667.1	x^10 - x^9 - 2x^8 - x^7 + 3x^6 + 5x^5 - 5x^4 - 3x^3 + 5x^2 - 1	\( -\,163\cdot 4903^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.3997871875.1	x^10 - x^9 - 3x^8 + x^7 + 9x^6 - 3x^5 - 11x^4 + 4x^3 + 6x^2 - x - 1	\( -\,5^{5}\cdot 1279319 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4006746875.1	x^10 - x^8 + x^6 - 4x^5 - x^4 + 2x^3 + x^2 + x - 1	\( -\,5^{5}\cdot 61\cdot 21019 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4019065103.1	x^10 - 5x^8 + 6x^6 - x^5 + 2x^4 + 3x^3 - 3x^2 - x - 1	\( -\,23\cdot 13219^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4049475079.1	x^10 - x^9 - 2x^8 + 2x^7 + 4x^6 - 14x^5 + 13x^4 - 3x^3 - 4x^2 + 4x - 1	\( -\,13^{2}\cdot 199\cdot 347^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4137559375.1	x^10 - x^9 - 3x^8 + 3x^7 + x^6 - 4x^5 + 2x^4 + 5x^3 - 2x - 1	\( -\,5^{5}\cdot 59\cdot 22441 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4281828299.1	x^10 - 2x^8 - x^7 + 4x^5 - 5x^3 + 3x + 1	\( -\,7^{2}\cdot 59\cdot 1217^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4293664531.1	x^10 - 4x^9 + 6x^8 - 3x^7 - 2x^6 + 4x^5 - 12x^4 + 18x^3 - 10x^2 + 4x - 1	\( -\,13^{2}\cdot 211\cdot 347^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4315496875.1	x^10 - 3x^9 + x^8 + 5x^7 - 3x^6 - 5x^5 + 3x^4 + 5x^3 - 4x^2 - 2x + 1	\( -\,5^{5}\cdot 1380959 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4319846875.1	x^10 - x^9 - x^8 + 2x^7 - 2x^6 + 2x^5 - x^4 - x^3 + 3x^2 - 2x - 1	\( -\,5^{5}\cdot 1151\cdot 1201 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4320434375.1	x^10 - 2x^7 - x^6 + 2x^5 - 4x^4 + x^3 + 2x^2 - x + 1	\( -\,5^{5}\cdot 461\cdot 2999 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4325159375.1	x^10 - x^9 + x^7 - x^6 - x^5 - 4x^4 + 3x^3 + 2x^2 - 2x + 1	\( -\,5^{5}\cdot 881\cdot 1571 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4374246875.1	x^10 - 3x^8 + 5x^6 - x^5 - 6x^4 - x^3 + 4x^2 + 3x - 1	\( -\,5^{5}\cdot 101\cdot 13859 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4381044659.1	x^10 - x^9 - x^8 - x^7 - 3x^6 + 8x^5 + 3x^4 - 7x^3 + 2x^2 + x - 1	\( -\,131\cdot 5783^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4391621875.1	x^10 - x^9 - 3x^8 + x^7 + x^6 + 2x^5 + 4x^4 - 2x^3 - 5x^2 + 1	\( -\,5^{5}\cdot 1405319 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4504633187.1	x^10 - 2x^9 + 2x^7 - 2x^6 + 5x^5 + 2x^4 - 7x^3 - 3x^2 + 2x + 1	\( -\,53^{2}\cdot 83\cdot 139^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4514996875.1	x^10 - x^9 + 3x^8 - x^7 - x^6 + x^5 - 4x^4 + 5x^3 - 3x + 1	\( -\,5^{5}\cdot 41\cdot 131\cdot 269 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4518246875.1	x^10 - x^9 - x^8 + 2x^7 - 4x^6 + x^5 + 5x^4 - 3x^3 - 2x^2 + 2x + 1	\( -\,5^{5}\cdot 311\cdot 4649 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4537853983.1	x^10 - x^9 + 3x^8 - x^7 + x^6 + 2x^5 - 3x^4 + 5x^3 - x^2 - 4x - 1	\( -\,13^{2}\cdot 223\cdot 347^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4544809375.1	x^10 - 4x^9 + 5x^8 - 4x^6 + 3x^5 - 4x^4 + 3x^3 + 3x^2 - 3x - 1	\( -\,5^{5}\cdot 1454339 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4561272832.1	x^10 - 2x^9 + 3x^8 - 2x^7 - 2x^6 + 4x^5 - 5x^4 + 2x^3 + x^2 - 2x + 1	\( -\,2^{15}\cdot 139199 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4591527119.1	x^10 - 2x^9 + 2x^8 - 3x^6 - 3x^4 + 2x^3 + 5x^2 - 1	\( -\,191\cdot 4903^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4599363511.1	x^10 - x^9 - 3x^8 + 2x^7 + x^6 + 3x^5 - 3x^3 + x^2 - x - 1	\( -\,151\cdot 5519^{2} \)	$C_2 \wr S_5$ (as 10T39)	Trivial
10.4.4611246875.1	x^10 - x^8 - 4x^7 - 6x^6 - 2x^5 + 4x^4 + 7x^3 + 3x^2 - 1	\( -\,5^{5}\cdot 991\cdot 1489 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4671746875.1	x^10 - 2x^6 - x^5 + 5x^3 + x^2 - 4x - 1	\( -\,5^{5}\cdot 479\cdot 3121 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4712871875.1	x^10 - 2x^9 + x^8 - 2x^7 + 8x^5 - 10x^4 + 7x^3 - 5x^2 + 4x - 1	\( -\,5^{5}\cdot 31\cdot 48649 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4752996875.1	x^10 - 3x^9 + 3x^8 + x^7 - 9x^6 + 13x^5 - 7x^4 - 5x^3 + 10x^2 - 6x + 1	\( -\,5^{5}\cdot 11\cdot 37^{2}\cdot 101 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4803493888.1	x^10 - 2x^9 + x^8 + 2x^7 - 5x^6 + 2x^4 + 2x^3 + x^2 - 2x - 1	\( -\,2^{15}\cdot 17\cdot 8623 \)	$S_5^2 \wr C_2$ (as 10T43)	Trivial
10.4.4930254263.1	x^10 - 3x^9 + 2x^8 + 3x^7 - 9x^6 + 11x^5 - 9x^4 + 3x^3 + 2x^2 - 3x + 1	\( -\,11^{8}\cdot 23 \)	$C_2 \times (C_2^4 : C_5)$ (as 10T14)	Trivial

There are too many search results for downloading.