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Results (17 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content
17.12.0.1 x12 + x8 + 4x7 + 14x6 + 14x5 + 13x4 + 6x3 + 14x2 + 9x + 3 $17$ $1$ $12$ $0$ $C_{12}$ (as 12T1) $[\ ]$ $[\ ]^{12}$
17.12.6.1 x12 + 918x11 + 351241x10 + 71712630x9 + 8244584136x8 + 506874732756x7 + 13125344775560x6 + 9625198256031x5 + 28457943732288x4 + 16844354225613x3 + 132306217741765x2 + 68598705820311x + 44162739951115 $17$ $2$ $6$ $6$ $C_6\times C_2$ (as 12T2) $[\ ]$ $[\ ]_{2}^{6}$
17.12.6.2 x12 + 578x8 + 835210x4 - 4259571x2 + 72412707 $17$ $2$ $6$ $6$ $C_{12}$ (as 12T1) $[\ ]$ $[\ ]_{2}^{6}$
17.12.8.1 x12 + 225x10 + 98x9 + 17904x8 + 10824x7 + 611647x6 + 498390x5 + 8494833x4 + 11764900x3 + 38205036x2 + 73669974x + 36476587 $17$ $3$ $4$ $8$ $C_3 : C_4$ (as 12T5) $[\ ]$ $[\ ]_{3}^{4}$
17.12.8.2 x12 + 2023x6 - 49130x3 + 250563 $17$ $3$ $4$ $8$ $C_3\times (C_3 : C_4)$ (as 12T19) $[\ ]$ $[\ ]_{3}^{12}$
17.12.9.1 x12 + 4x10 + 56x9 + 57x8 + 168x7 + 1044x6 - 11256x5 + 3356x4 + 10080x3 + 97736x2 + 58576x + 57252 $17$ $4$ $3$ $9$ $C_{12}$ (as 12T1) $[\ ]$ $[\ ]_{4}^{3}$
17.12.9.2 x12 - 34x8 + 289x4 + 962948 $17$ $4$ $3$ $9$ $C_{12}$ (as 12T1) $[\ ]$ $[\ ]_{4}^{3}$
17.12.9.3 x12 + 289x4 - 68782 $17$ $4$ $3$ $9$ $C_{12}$ (as 12T1) $[\ ]$ $[\ ]_{4}^{3}$
17.12.9.4 x12 + 153x8 + 81787x4 - 277825237 $17$ $4$ $3$ $9$ $C_{12}$ (as 12T1) $[\ ]$ $[\ ]_{4}^{3}$
17.12.10.1 x12 + 96x11 + 3858x10 + 83360x9 + 1029255x8 + 7037376x7 + 22883390x6 + 21113760x5 + 9327045x4 + 3594400x3 + 16245408x2 + 100784640x + 265511268 $17$ $6$ $2$ $10$ $D_6$ (as 12T3) $[\ ]$ $[\ ]_{6}^{2}$
17.12.10.2 x12 - 3060x6 - 197676 $17$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
17.12.10.3 x12 - 3604x6 - 719321 $17$ $6$ $2$ $10$ $C_3 : C_4$ (as 12T5) $[\ ]$ $[\ ]_{6}^{2}$
17.12.10.4 x12 + 238x6 - 3468 $17$ $6$ $2$ $10$ $C_3\times (C_3 : C_4)$ (as 12T19) $[\ ]$ $[\ ]_{6}^{6}$
17.12.11.1 x12 + 17 $17$ $12$ $1$ $11$ $S_3 \times C_4$ (as 12T11) $[\ ]$ $[\ ]_{12}^{2}$
17.12.11.2 x12 + 34 $17$ $12$ $1$ $11$ $S_3 \times C_4$ (as 12T11) $[\ ]$ $[\ ]_{12}^{2}$
17.12.11.3 x12 + 51 $17$ $12$ $1$ $11$ $S_3 \times C_4$ (as 12T11) $[\ ]$ $[\ ]_{12}^{2}$
17.12.11.4 x12 + 102 $17$ $12$ $1$ $11$ $S_3 \times C_4$ (as 12T11) $[\ ]$ $[\ ]_{12}^{2}$
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