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Results (9 matches)
Download displayed columns for resultsLabel | Polynomial | $p$ | $f$ | $e$ | $c$ | Galois group | Artin slope content |
---|---|---|---|---|---|---|---|
3.2.6.22a1.19 | $( x^{2} + 2 x + 2 )^{6} + 18 x ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.20 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{3} + 18 x ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.21 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{3} + 18 x ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.28 | $( x^{2} + 2 x + 2 )^{6} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.29 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.30 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.37 | $( x^{2} + 2 x + 2 )^{6} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.38 | $( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |
3.2.6.22a1.39 | $( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{2} + 9 x ( x^{2} + 2 x + 2 ) + 3$ | $3$ | $2$ | $6$ | $22$ | $C_3\times S_3^2$ (as 12T70) | $[2, 2, \frac{5}{2}]_{2}^{2}$ |