Number field search results

Results (8 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
20.0.174...736.1	x^20 - 4x^19 + 8x^18 - 8x^17 + 5x^16 + 2x^15 - 16x^14 + 30x^13 - 22x^12 - 4x^11 + 34x^10 - 66x^9 + 109x^8 - 136x^7 + 120x^6 - 76x^5 + 48x^4 - 40x^3 + 32x^2 - 16x + 4	$20$	[0,10]	$2^{32}\cdot 67^{8}$	$2$	$16.2958836099$			?	$C_2\times A_5$ (as 20T31)	trivial	$4$	$9$	$34612.1677943$
20.0.250...256.1	x^20 - 2x^19 + 2x^18 + 2x^17 - 5x^16 + 4x^15 + 4x^14 - 12x^13 + 7x^12 + 2x^11 - 14x^10 + 6x^9 + 5x^8 - 12x^7 + 8x^6 + 4x^5 - 4x^4 + 8x^3 + 4	$20$	[0,10]	$2^{32}\cdot 17^{12}$	$2$	$16.5927108803$			?	$C_2\times A_5$ (as 20T31)	trivial	$4$	$9$	$30574.1646172$
20.4.250...000.1	x^20 - 5x^18 - 10x^17 + 5x^16 + 50x^15 + 55x^14 - 70x^13 - 180x^12 - 90x^11 + 88x^10 + 250x^9 + 290x^8 + 60x^7 - 195x^6 - 100x^5 + 30x^4 + 20x^3 + 15x^2 - 10x + 1	$20$	[4,8]	$2^{24}\cdot 5^{26}$	$2$	$18.6164556664$			?	$C_2\times A_5$ (as 20T31)	trivial	$2$	$11$	$94707.1867115$
20.4.721...184.1	x^20 - 4x^19 - x^18 + 16x^17 - 16x^15 - 34x^14 + 2x^13 + 52x^12 + 60x^11 - 16x^10 - 54x^9 - 60x^8 - 10x^7 + 41x^6 + 4x^5 + 7x^4 + 10x^3 - 16x^2 + 2	$20$	[4,8]	$2^{24}\cdot 73^{10}$	$2$	$19.6289660947$			?	$C_2\times A_5$ (as 20T31)	trivial	$2$	$11$	$363553.530459$
20.0.333...401.1	x^20 + 3x^18 - 19x^17 + 21x^16 - 159x^15 - 7x^14 + 354x^13 + 1233x^12 + 655x^11 - 2385x^10 + 2997x^9 + 15528x^8 + 15281x^7 - 4769x^6 - 14351x^5 - 1363x^4 + 4718x^3 + 3265x^2 - 9x + 77	$20$	[0,10]	$19^{10}\cdot 293^{8}$	$2$	$42.27891647$	✓		?	$C_2\times A_5$ (as 20T31)	$[14]$	$2$	$9$	$7783721.02563$
20.0.164...016.1	x^20 + 32x^18 + 422x^16 + 2990x^14 + 12409x^12 + 30722x^10 + 43977x^8 + 33208x^6 + 10956x^4 + 1216x^2 + 4	$20$	[0,10]	$2^{32}\cdot 887^{8}$	$2$	$45.7949343742$	✓		?	$C_2\times A_5$ (as 20T31)	$[2, 4, 4]$	$4$	$9$	$18267764.1868$
20.20.589...249.1	x^20 - 10x^19 + 5x^18 + 240x^17 - 634x^16 - 1660x^15 + 7586x^14 + 1448x^13 - 34555x^12 + 17062x^11 + 80377x^10 - 61496x^9 - 107173x^8 + 88980x^7 + 85210x^6 - 61692x^5 - 38499x^4 + 18788x^3 + 7682x^2 - 1660x - 101	$20$	[20,0]	$17^{10}\cdot 643^{8}$	$2$	$54.7657260763$			?	$C_2\times A_5$ (as 20T31)	trivial	$2$	$19$	$94964848909.5$
20.20.791...209.1	x^20 - 45x^18 - 12x^17 + 851x^16 + 407x^15 - 8787x^14 - 5526x^13 + 54107x^12 + 38628x^11 - 204919x^10 - 149409x^9 + 477144x^8 + 320340x^7 - 658303x^6 - 352394x^5 + 484524x^4 + 150931x^3 - 142212x^2 + 2654x + 3877	$20$	[20,0]	$19^{8}\cdot 293^{10}$	$2$	$55.5821383072$			?	$C_2\times A_5$ (as 20T31)	trivial	$2$	$19$	$96962157521.7$