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Results (12 matches)
Download displayed columns for resultsLabel | Polynomial | $p$ | $f$ | $e$ | $c$ | Galois group | Artin slope content |
---|---|---|---|---|---|---|---|
3.2.6.22a1.40 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.41 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.42 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.46 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{2} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.47 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 )^{2} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.48 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 )^{2} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.52 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{2} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.53 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 )^{2} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.54 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 )^{2} + 9 ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_6\times S_3$ (as 12T18) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.61 | $( x^{2} + 2 x + 2 )^{6} + 18 x ( x^{2} + 2 x + 2 )^{2} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $S_3^2$ (as 12T16) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.66 | $( x^{2} + 2 x + 2 )^{6} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{2} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $S_3^2$ (as 12T16) | $[2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.71 | $( x^{2} + 2 x + 2 )^{6} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{2} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $S_3^2$ (as 12T16) | $[2, \frac{5}{2}]_{2}^{2}$ |