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Results (8 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group $u$ $t$ Visible slopes Slope content Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia
19.15.0.1 $x^{15} + x^{7} + 10 x^{6} + 11 x^{5} + 13 x^{4} + 15 x^{3} + 14 x^{2} + 17$ $19$ $1$ $15$ $0$ $C_{15}$ (as 15T1) $15$ $1$ $[\ ]$ $[\ ]^{15}$ $t^{15} + t^{7} + 10 t^{6} + 11 t^{5} + 13 t^{4} + 15 t^{3} + 14 t^{2} + 17$ $x - 19$ $[0]$ $[\ ]$
19.15.10.1 $x^{15} + 95 x^{12} + 15 x^{11} + 51 x^{10} + 3610 x^{9} - 4275 x^{8} - 28995 x^{7} + 69100 x^{6} - 31623 x^{5} + 835620 x^{4} + 700180 x^{3} + 1194855 x^{2} - 1636410 x + 2391332$ $19$ $3$ $5$ $10$ $C_{15}$ (as 15T1) $5$ $3$ $[\ ]$ $[\ ]_{3}^{5}$ $t^{5} + 5 t + 17$ $x^{3} + 19$ $[0]$ $[1]$
19.15.10.2 $x^{15} + 651605 x^{3} - 42093683$ $19$ $3$ $5$ $10$ $C_{15}$ (as 15T1) $5$ $3$ $[\ ]$ $[\ ]_{3}^{5}$ $t^{5} + 5 t + 17$ $x^{3} + 19 t$ $[0]$ $[1]$
19.15.10.3 $x^{15} + 3610 x^{9} + 3258025 x^{3} + 715592611$ $19$ $3$ $5$ $10$ $C_{15}$ (as 15T1) $5$ $3$ $[\ ]$ $[\ ]_{3}^{5}$ $t^{5} + 5 t + 17$ $x^{3} + 19 t^{2}$ $[0]$ $[1]$
19.15.12.1 $x^{15} + 20 x^{13} + 85 x^{12} + 160 x^{11} + 1417 x^{10} + 3530 x^{9} + 7020 x^{8} + 6890 x^{7} + 76970 x^{6} + 160207 x^{5} + 1168245 x^{4} + 470325 x^{3} + 1653430 x^{2} + 224615 x + 1762712$ $19$ $5$ $3$ $12$ $D_5\times C_3$ (as 15T3) $6$ $5$ $[\ ]$ $[\ ]_{5}^{6}$ $t^{3} + 4 t + 17$ $x^{5} + 19$ $[0]$ $[2]$
19.15.14.1 $x^{15} + 19$ $19$ $15$ $1$ $14$ $D_5\times C_3$ (as 15T3) $2$ $15$ $[\ ]$ $[\ ]_{15}^{2}$ $t + 17$ $x^{15} + 19$ $[0]$ $[2]$
19.15.14.2 $x^{15} + 76$ $19$ $15$ $1$ $14$ $D_5\times C_3$ (as 15T3) $2$ $15$ $[\ ]$ $[\ ]_{15}^{2}$ $t + 17$ $x^{15} + 76$ $[0]$ $[2]$
19.15.14.3 $x^{15} + 38$ $19$ $15$ $1$ $14$ $D_5\times C_3$ (as 15T3) $2$ $15$ $[\ ]$ $[\ ]_{15}^{2}$ $t + 17$ $x^{15} + 38$ $[0]$ $[2]$
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