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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
14.104...449.21t38.a.a $14$ $ 13^{6} \cdot 17^{4} \cdot 127^{4}$ x7 - x6 + 2x4 + 2x + 1 $S_7$ $1$ $2$
14.682...024.30t565.a.a $14$ $ 2^{28} \cdot 3^{26}$ x7 - 3x5 - 2x4 + 3x3 + 12x2 + 19x + 6 $S_7$ $1$ $0$
14.116...601.21t38.a.a $14$ $ 184607^{4}$ x7 - x6 - x5 + x4 - x2 + x + 1 $S_7$ $1$ $2$
14.128...984.21t38.a.a $14$ $ 2^{18} \cdot 8363^{4}$ x7 - x6 + 3x5 - 4x4 + 3x3 - 4x2 + 2x - 1 $S_7$ $1$ $2$
14.139...041.21t38.a.a $14$ $ 193327^{4}$ x7 - x6 + 2x4 - 2x3 + 2x - 1 $S_7$ $1$ $2$
14.140...601.21t38.a.a $14$ $ 193607^{4}$ x7 - x4 - x3 + x2 + 1 $S_7$ $1$ $2$
14.147...641.21t38.a.a $14$ $ 29^{4} \cdot 6763^{4}$ x7 - 2x6 + 2x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $2$
14.158...361.21t38.a.a $14$ $ 199559^{4}$ x7 - x6 + x3 - x + 1 $S_7$ $1$ $2$
14.165...081.21t38.a.a $14$ $ 17^{4} \cdot 11863^{4}$ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $2$
14.168...281.21t38.a.a $14$ $ 202471^{4}$ x7 - x6 - x5 + 2x4 - x2 + 1 $S_7$ $1$ $2$
14.168...649.21t38.a.a $14$ $ 7^{6} \cdot 31^{4} \cdot 353^{4}$ x7 - x6 + 2x5 + x4 + 2x2 + x + 1 $S_7$ $1$ $2$
14.186...241.21t38.a.a $14$ $ 11^{4} \cdot 41^{4} \cdot 461^{4}$ x7 - x5 - x4 - x3 + x2 + x + 1 $S_7$ $1$ $2$
14.201...721.21t38.a.a $14$ $ 19^{4} \cdot 11149^{4}$ x7 - x6 + 2x5 - x4 + x2 - 2x + 1 $S_7$ $1$ $2$
14.212...601.21t38.a.a $14$ $ 214607^{4}$ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 - 1 $S_7$ $1$ $2$
14.242...752.30t565.a.a $14$ $ 2^{33} \cdot 3^{24}$ x7 - 3x5 - x4 + 3x3 + 6x2 - x - 9 $S_7$ $1$ $0$
14.254...881.21t38.a.a $14$ $ 277^{4} \cdot 811^{4}$ x7 - 2x5 - x4 + 2x3 + 2x2 - 1 $S_7$ $1$ $2$
14.266...161.21t38.a.a $14$ $ 167^{4} \cdot 1361^{4}$ x7 - 2x6 + 3x5 - 3x4 + 3x3 - 2x2 + 2x - 1 $S_7$ $1$ $2$
14.319...001.21t38.a.a $14$ $ 23^{4} \cdot 10337^{4}$ x7 - x6 + x5 - x4 + x3 + x2 - 2x + 1 $S_7$ $1$ $2$
14.343...881.21t38.a.a $14$ $ 242147^{4}$ x7 - 2x6 + 2x5 - x4 - x3 + 2x2 - x + 1 $S_7$ $1$ $2$
14.345...184.21t38.a.a $14$ $ 2^{24} \cdot 3^{30}$ x7 - x6 + 3x5 - 5x4 + 2x3 - 12x2 + x - 7 $S_7$ $1$ $2$
14.348...281.21t38.a.a $14$ $ 242971^{4}$ x7 - x6 - x5 + 2x4 - 2x2 + x + 1 $S_7$ $1$ $2$
14.392...721.21t38.a.a $14$ $ 13^{4} \cdot 19259^{4}$ x7 - 2x6 + 4x5 - 4x4 + 3x3 - x2 - x + 1 $S_7$ $1$ $2$
14.403...681.21t38.a.a $14$ $ 83^{4} \cdot 3037^{4}$ x7 - x6 + 2x4 - x3 - 2x2 + x + 1 $S_7$ $1$ $2$
14.470...881.21t38.a.a $14$ $ 307^{4} \cdot 853^{4}$ x7 - x6 - x5 + 2x4 - x3 - x2 + x - 1 $S_7$ $1$ $2$
14.510...281.21t38.a.a $14$ $ 101^{4} \cdot 2647^{4}$ x7 - x4 - 2x3 + x2 + x - 1 $S_7$ $1$ $2$
14.536...601.21t38.a.a $14$ $ 461^{4} \cdot 587^{4}$ x7 - x6 + x5 - 3x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $2$
14.552...081.21t38.a.a $14$ $ 7^{4} \cdot 38953^{4}$ x7 - 2x6 + 3x5 - 4x4 + 4x3 - 3x2 + x - 1 $S_7$ $1$ $2$
14.614...216.21t38.a.a $14$ $ 2^{28} \cdot 3^{28}$ x7 - 3x5 - 2x4 + 3x3 + 12x2 + 19x + 6 $S_7$ $1$ $2$
14.643...441.21t38.a.a $14$ $ 61^{4} \cdot 4643^{4}$ x7 + x3 - 2x - 1 $S_7$ $1$ $2$
14.675...441.21t38.a.a $14$ $ 286711^{4}$ x7 - x5 - 2x4 + x3 + 2x2 - x - 1 $S_7$ $1$ $2$
14.705...721.21t38.a.a $14$ $ 109^{4} \cdot 2659^{4}$ x7 + x5 - x4 + x3 - x2 + x - 1 $S_7$ $1$ $2$
14.707...561.21t38.a.a $14$ $ 289987^{4}$ x7 - x6 + 2x5 - 2x4 + 2x3 - x2 + x - 1 $S_7$ $1$ $2$
14.815...441.21t38.a.a $14$ $ 29^{4} \cdot 43^{4} \cdot 241^{4}$ x7 - 2x6 + 2x5 - 2x3 + 4x2 - 3x + 1 $S_7$ $1$ $2$
14.921...824.30t565.a.a $14$ $ 2^{27} \cdot 3^{29}$ x7 - x6 + 3x5 - 5x4 + 2x3 - 12x2 + x - 7 $S_7$ $1$ $0$
14.936...681.21t38.a.a $14$ $ 277^{4} \cdot 1123^{4}$ x7 - x6 + 3x5 - 3x4 + 4x3 - 4x2 + 2x - 1 $S_7$ $1$ $2$
14.992...921.21t38.a.a $14$ $ 315631^{4}$ x7 - x5 - 2x4 + x2 + x + 1 $S_7$ $1$ $2$
14.101...961.21t38.a.a $14$ $ 317159^{4}$ x7 - 3x6 + 4x5 - 4x4 + 4x3 - 4x2 + 2x - 1 $S_7$ $1$ $2$
14.104...721.21t38.a.a $14$ $ 319831^{4}$ x7 - x6 + 2x4 - 3x3 + 4x2 - 3x + 1 $S_7$ $1$ $2$
14.106...625.21t38.a.a $14$ $ 5^{8} \cdot 37^{4} \cdot 347^{4}$ x7 - x6 + x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $2$
14.109...384.30t565.a.a $14$ $ 2^{32} \cdot 3^{26}$ x7 - 3x5 - 2x4 + 3x3 + 12x2 + 19x + 6 $S_7$ $1$ $0$
14.119...561.21t38.a.a $14$ $ 23^{4} \cdot 14369^{4}$ x7 + x5 - x3 - x - 1 $S_7$ $1$ $2$
14.122...481.21t38.a.a $14$ $ 332447^{4}$ x7 - x5 - x4 + x3 + x2 - x - 1 $S_7$ $1$ $2$
14.125...841.21t38.a.a $14$ $ 334727^{4}$ x7 - x5 - 2x4 - x3 + 2x2 + x + 1 $S_7$ $1$ $2$
14.129...344.30t565.a.a $14$ $ 2^{37} \cdot 3^{23}$ x7 - 2x6 + 6x5 - 10x4 + 14x3 - 12x2 + 4x + 4 $S_7$ $1$ $0$
14.130...361.21t38.a.a $14$ $ 7^{4} \cdot 48313^{4}$ x7 - x4 - 2x3 + 2x + 1 $S_7$ $1$ $2$
14.149...281.21t38.a.a $14$ $ 19^{4} \cdot 18413^{4}$ x7 - x6 + x5 - x4 + x2 - x + 1 $S_7$ $1$ $2$
14.152...761.21t38.a.a $14$ $ 351587^{4}$ x7 - 2x5 - 2x4 + 2x3 + 3x2 - 1 $S_7$ $1$ $2$
14.152...625.21t38.a.a $14$ $ 5^{4} \cdot 53^{4} \cdot 1327^{4}$ x7 - x6 - 2x4 + x3 + x + 1 $S_7$ $1$ $2$
14.189...921.21t38.a.a $14$ $ 371131^{4}$ x7 - x4 - 2x2 - x - 1 $S_7$ $1$ $2$
14.194...016.42t413.a.a $14$ $ 2^{36} \cdot 3^{24}$ x7 - 3x5 - x4 + 3x3 + 6x2 - x - 9 $S_7$ $1$ $-2$
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