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Label Polynomial pp ee ff cc Galois group uu tt Visible slopes Slope content Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia
23.6.0.1 x6+x4+9x3+9x2+x+5x^{6} + x^{4} + 9 x^{3} + 9 x^{2} + x + 5 2323 11 66 00 C6C_6 (as 6T1) 66 11 [ ][\ ] [ ]6[\ ]^{6} t6+t4+9t3+9t2+t+5t^{6} + t^{4} + 9 t^{3} + 9 t^{2} + t + 5 x23x - 23 [0][0] [ ][\ ]
23.6.3.1 x6+1058x2219006x^{6} + 1058 x^{2} - 219006 2323 22 33 33 C6C_6 (as 6T1) 33 22 [ ][\ ] [ ]23[\ ]_{2}^{3} t3+2t+18t^{3} + 2 t + 18 x2+23tx^{2} + 23 t [0][0] [1][1]
23.6.3.2 x6+73x4+36x3+1591x22412x+10467x^{6} + 73 x^{4} + 36 x^{3} + 1591 x^{2} - 2412 x + 10467 2323 22 33 33 C6C_6 (as 6T1) 33 22 [ ][\ ] [ ]23[\ ]_{2}^{3} t3+2t+18t^{3} + 2 t + 18 x2+23x^{2} + 23 [0][0] [1][1]
23.6.4.1 x6+63x5+1338x4+9937x3+8139x2+31314x+206412x^{6} + 63 x^{5} + 1338 x^{4} + 9937 x^{3} + 8139 x^{2} + 31314 x + 206412 2323 33 22 44 S3S_3 (as 6T2) 22 33 [ ][\ ] [ ]32[\ ]_{3}^{2} t2+21t+5t^{2} + 21 t + 5 x3+23x^{3} + 23 [0][0] [1][1]
23.6.4.2 x6483x3+2645x^{6} - 483 x^{3} + 2645 2323 33 22 44 S3×C3S_3\times C_3 (as 6T5) 66 33 [ ][\ ] [ ]36[\ ]_{3}^{6} t2+21t+5t^{2} + 21 t + 5 x3+23tx^{3} + 23 t [0][0] [1][1]
23.6.5.1 x6+115x^{6} + 115 2323 66 11 55 D6D_{6} (as 6T3) 22 66 [ ][\ ] [ ]62[\ ]_{6}^{2} t+18t + 18 x6+115x^{6} + 115 [0][0] [2][2]
23.6.5.2 x6+23x^{6} + 23 2323 66 11 55 D6D_{6} (as 6T3) 22 66 [ ][\ ] [ ]62[\ ]_{6}^{2} t+18t + 18 x6+23x^{6} + 23 [0][0] [2][2]
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