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Results (8 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
12.2.559724432982016.6 | $x^{12} + 2 x^{8} - 4$ | $-\,2^{32}\cdot 19^{4}$ | $C_2^4.S_4$ (as 12T140) | trivial |
12.2.202...776.19 | $x^{12} - 8 x^{10} - 3 x^{8} + 44 x^{6} + 133 x^{4} - 228 x^{2} - 361$ | $-\,2^{32}\cdot 19^{6}$ | $C_2\wr S_4$ (as 12T227) | trivial |
12.2.202...776.24 | $x^{12} + 8 x^{10} - 3 x^{8} - 44 x^{6} + 133 x^{4} + 228 x^{2} - 361$ | $-\,2^{32}\cdot 19^{6}$ | $C_2\wr S_4$ (as 12T227) | trivial |
12.2.149...696.62 | $x^{12} + 6 x^{8} + 12 x^{4} - 4$ | $-\,2^{32}\cdot 3^{20}$ | $C_2^4.S_4$ (as 12T140) | trivial |
12.2.729...136.2 | $x^{12} - 114 x^{8} + 10108 x^{4} - 521284$ | $-\,2^{32}\cdot 19^{8}$ | $C_2^4.S_4$ (as 12T140) | $[2, 2]$ |
12.2.111...896.1 | $x^{12} + 66 x^{8} - 352 x^{4} - 58564$ | $-\,2^{32}\cdot 11^{10}$ | $C_2^4.S_4$ (as 12T140) | trivial |
12.2.263...096.3 | $x^{12} - 114 x^{8} - 521284$ | $-\,2^{32}\cdot 19^{10}$ | $C_2^4.S_4$ (as 12T140) | $[2, 4]$ |
12.2.263...096.4 | $x^{12} - 190 x^{8} + 19456 x^{4} - 521284$ | $-\,2^{32}\cdot 19^{10}$ | $C_2^4.S_4$ (as 12T140) | $[4, 4]$ |