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 all 14 matches)

Label	Polynomial	Discriminant	Galois group	Class group
20.0.11298682459105386299392.1	x^20 - x^18 - x^16 - 2x^15 - 2x^14 + 2x^13 + 3x^12 + 4x^11 + 5x^10 + 10x^9 + 14x^8 + 6x^7 + 9x^6 + 10x^5 + 6x^4 + 4x^3 + 2x^2 + 2x + 1	\( 2^{20}\cdot 220873^{3} \)	20T540	Trivial (GRH)
20.0.41859528067976395481001.1	x^20 - 2x^19 + 2x^18 - 3x^17 + 4x^16 - 5x^15 + 7x^14 - 5x^13 + 2x^12 - 4x^10 + 8x^9 - 3x^8 + 4x^7 - 4x^6 + 2x^4 + 2x^2 + 1	\( 3^{10}\cdot 11^{6}\cdot 7369^{3} \)	20T540	Trivial (GRH)
20.4.84663181407790756265984.1	x^20 - 4x^19 + 8x^18 - 6x^17 - 10x^16 + 36x^15 - 57x^14 + 54x^13 - 23x^12 - 18x^11 + 26x^10 + 20x^9 - 90x^8 + 128x^7 - 98x^6 + 24x^5 + 32x^4 - 36x^3 + 19x^2 - 6x + 1	\( 2^{30}\cdot 137^{3}\cdot 313^{3} \)	20T540	Trivial
20.4.214377296883203134765625.1	x^20 - x^19 + 2x^18 + x^17 - 6x^16 + 9x^15 - 8x^14 - 13x^13 + 21x^12 - 18x^11 - 16x^10 + 28x^9 - 16x^8 - 8x^7 + 21x^6 - 9x^5 - 2x^4 + 8x^3 - 4x^2 - 2x + 1	\( 5^{10}\cdot 280001^{3} \)	20T540	Trivial (GRH)
20.6.12643669953134424130859375.1	x^20 - 4x^19 + 4x^18 + x^17 - 7x^15 - 3x^14 + 13x^13 + 12x^12 + 2x^11 - 48x^10 + 10x^9 + 23x^8 + 22x^7 - 34x^6 + 6x^5 + 2x^4 + 4x^3 - 2x^2 - 2x + 1	\( -\,5^{10}\cdot 1039^{3}\cdot 1049^{3} \)	20T540	Trivial (GRH)
20.6.12796294836209762099609375.1	x^20 - 2x^19 - 2x^18 + 4x^17 - 7x^16 - 7x^15 + 4x^14 - 6x^13 - 3x^12 + 7x^11 + 8x^10 + 3x^9 - 7x^8 + 16x^7 + 4x^6 - 14x^5 - 3x^4 - 2x^3 + 9x^2 - 5x + 1	\( -\,5^{10}\cdot 61^{3}\cdot 17939^{3} \)	20T540	Trivial (GRH)
20.8.943547231274552980869140625.1	x^20 - 9x^18 - 2x^17 + 27x^16 + 40x^15 - 41x^14 - 168x^13 - 36x^12 + 282x^11 + 171x^10 - 124x^9 - 87x^8 - 48x^7 + 56x^6 - 29x^4 + 18x^3 + x^2 - 4x + 1	\( 5^{10}\cdot 4588681^{3} \)	20T540	Trivial (GRH)
20.8.1372365432286539315634765625.1	x^20 - 4x^17 - 20x^16 - 12x^15 - 51x^14 - 64x^13 - 28x^12 - 96x^11 + 37x^10 + 24x^9 - 29x^8 + 176x^7 + 40x^6 + 16x^5 + 63x^4 - 20x^3 + x^2 - 4x + 1	\( 5^{10}\cdot 31^{3}\cdot 167711^{3} \)	20T540	Trivial (GRH)
20.12.1646340949607109475087890625.1	x^20 - 2x^19 - 8x^18 + 18x^17 - 2x^16 - x^15 + 9x^14 - 58x^13 + 34x^12 - 40x^11 + 62x^10 + 142x^9 - 189x^8 - 9x^7 + 70x^6 - 61x^5 + 26x^4 + 21x^3 - 14x^2 - x + 1	\( 5^{10}\cdot 5524249^{3} \)	20T540	Trivial (GRH)
20.12.2281252336704066938369140625.1	x^20 - 4x^19 - 6x^18 + 39x^17 - 16x^16 - 84x^15 + 70x^14 + 21x^13 + 22x^12 + 22x^11 - 229x^10 + 151x^9 + 139x^8 - 219x^7 + 104x^6 + 47x^5 - 96x^4 + 32x^3 + 12x^2 - 8x + 1	\( 5^{10}\cdot 6158729^{3} \)	20T540	Trivial (GRH)
20.14.203483763895883268631630859375.1	x^20 - 2x^19 - 3x^18 + 10x^17 - 39x^16 + 21x^15 + 122x^14 - 94x^13 + 25x^12 + 32x^11 - 238x^10 + 142x^9 + 36x^8 - 70x^7 + 170x^6 - 104x^5 - 63x^4 + 69x^3 - 11x^2 - 4x + 1	\( -\,5^{10}\cdot 27517559^{3} \)	20T540	Trivial (GRH)
20.14.222885303081664970605068359375.1	x^20 - x^19 - 24x^18 + 27x^17 + 193x^16 - 196x^15 - 751x^14 + 655x^13 + 1588x^12 - 1241x^11 - 1939x^10 + 1425x^9 + 1378x^8 - 973x^7 - 555x^6 + 368x^5 + 125x^4 - 69x^3 - 16x^2 + 5x + 1	\( -\,5^{10}\cdot 3169^{3}\cdot 8951^{3} \)	20T540	Trivial (GRH)
20.20.143525673214602337250007118901393.1	x^20 - 6x^19 - 13x^18 + 125x^17 - 3x^16 - 967x^15 + 675x^14 + 3554x^13 - 3390x^12 - 6993x^11 + 7046x^10 + 7984x^9 - 7306x^8 - 5401x^7 + 3887x^6 + 2055x^5 - 992x^4 - 368x^3 + 98x^2 + 16x - 3	\( 13^{10}\cdot 439^{3}\cdot 23087^{3} \)	20T540	Trivial (GRH)
20.20.158574350027984605001148447265625.1	x^20 - 6x^19 - 13x^18 + 125x^17 - 24x^16 - 856x^15 + 836x^14 + 2321x^13 - 3328x^12 - 2645x^11 + 5461x^10 + 896x^9 - 4387x^8 + 579x^7 + 1731x^6 - 541x^5 - 283x^4 + 137x^3 + 5x^2 - 9x + 1	\( 5^{10}\cdot 11^{7}\cdot 941011^{3} \)	20T540	Trivial (GRH)