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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 12.8.34183776846541.1 | x12 - 4x11 + 3x10 + 2x9 - 7x8 + 11x7 - 11x6 - x5 + 21x4 - 9x3 - 8x2 + 2x + 1 | \( 7^{8}\cdot 181^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |
| 12.8.145006403507357.1 | x12 - 3x11 - 2x10 + 7x9 + 11x8 - 11x7 - 32x6 + 16x5 + 36x4 - 7x3 - 15x2 - x + 1 | \( 7^{8}\cdot 293^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |
| 12.4.308893216301033.1 | x12 - 3x11 + 3x10 - 6x9 + 16x8 - 24x7 + 33x6 - 26x5 - 3x4 + 8x3 - 37x2 - 6x + 1 | \( 7^{8}\cdot 13^{3}\cdot 29^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |
| 12.4.308893216301033.2 | x12 - 4x11 + 4x10 + x9 + x8 - 5x7 - 26x6 + 113x5 - 194x4 + 176x3 - 75x2 - x + 1 | \( 7^{8}\cdot 13^{3}\cdot 29^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |
| 12.0.1985813112316901.1 | x12 - 5x11 + 15x10 - 38x9 + 80x8 - 136x7 + 209x6 - 294x5 + 371x4 - 343x3 + 245x2 - 147x + 49 | \( 7^{8}\cdot 701^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |
| 12.0.5777058287065429.1 | x12 - 3x11 + 9x10 - 22x9 + 54x8 - 93x7 + 168x6 - 208x5 + 342x4 - 218x3 + 343x2 - 107x + 83 | \( 7^{8}\cdot 13^{2}\cdot 181^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | $[2, 2]$ |
| 12.12.52202953554874577.1 | x12 - 2x11 - 16x10 + 21x9 + 105x8 - 53x7 - 325x6 - 76x5 + 369x4 + 313x3 + 48x2 - 28x - 8 | \( 7^{8}\cdot 13^{5}\cdot 29^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |
| 12.12.52202953554874577.2 | x12 - 3x11 - 15x10 + 46x9 + 57x8 - 179x7 - 93x6 + 255x5 + 85x4 - 129x3 - 36x2 + 11x + 1 | \( 7^{8}\cdot 13^{5}\cdot 29^{3} \) | $C_4\times C_4^2:C_3$ (as 12T94) | Trivial |