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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
6.184607.7t7.1c1 $6$ $ 184607 $ x7 - x6 - x5 + x4 - x2 + x + 1 $S_7$ $1$ $0$
6.193327.7t7.1c1 $6$ $ 193327 $ x7 - x6 + 2x4 - 2x3 + 2x - 1 $S_7$ $1$ $0$
6.193607.7t7.1c1 $6$ $ 193607 $ x7 - x4 - x3 + x2 + 1 $S_7$ $1$ $0$
6.29_6763.7t7.1c1 $6$ $ 29 \cdot 6763 $ x7 - 2x6 + 2x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $0$
6.199559.7t7.1c1 $6$ $ 199559 $ x7 - x6 + x3 - x + 1 $S_7$ $1$ $0$
6.17_11863.7t7.1c1 $6$ $ 17 \cdot 11863 $ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $0$
6.202471.7t7.1c1 $6$ $ 202471 $ x7 - x6 - x5 + 2x4 - x2 + 1 $S_7$ $1$ $0$
6.11_41_461.7t7.1c1 $6$ $ 11 \cdot 41 \cdot 461 $ x7 - x5 - x4 - x3 + x2 + x + 1 $S_7$ $1$ $0$
6.19_11149.7t7.1c1 $6$ $ 19 \cdot 11149 $ x7 - x6 + 2x5 - x4 + x2 - 2x + 1 $S_7$ $1$ $0$
6.214607.7t7.1c1 $6$ $ 214607 $ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 - 1 $S_7$ $1$ $0$
6.277_811.7t7.1c1 $6$ $ 277 \cdot 811 $ x7 - 2x5 - x4 + 2x3 + 2x2 - 1 $S_7$ $1$ $0$
6.167_1361.7t7.1c1 $6$ $ 167 \cdot 1361 $ x7 - 2x6 + 3x5 - 3x4 + 3x3 - 2x2 + 2x - 1 $S_7$ $1$ $0$
6.23_10337.7t7.1c1 $6$ $ 23 \cdot 10337 $ x7 - x6 + x5 - x4 + x3 + x2 - 2x + 1 $S_7$ $1$ $0$
6.242147.7t7.1c1 $6$ $ 242147 $ x7 - 2x6 + 2x5 - x4 - x3 + 2x2 - x + 1 $S_7$ $1$ $0$
6.242971.7t7.1c1 $6$ $ 242971 $ x7 - x6 - x5 + 2x4 - 2x2 + x + 1 $S_7$ $1$ $0$
6.13_19259.7t7.1c1 $6$ $ 13 \cdot 19259 $ x7 - 2x6 + 4x5 - 4x4 + 3x3 - x2 - x + 1 $S_7$ $1$ $0$
6.83_3037.7t7.1c1 $6$ $ 83 \cdot 3037 $ x7 - x6 + 2x4 - x3 - 2x2 + x + 1 $S_7$ $1$ $0$
6.307_853.7t7.1c1 $6$ $ 307 \cdot 853 $ x7 - x6 - x5 + 2x4 - x3 - x2 + x - 1 $S_7$ $1$ $0$
6.101_2647.7t7.1c1 $6$ $ 101 \cdot 2647 $ x7 - x4 - 2x3 + x2 + x - 1 $S_7$ $1$ $0$
6.461_587.7t7.1c1 $6$ $ 461 \cdot 587 $ x7 - x6 + x5 - 3x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $0$
6.7_38953.7t7.1c1 $6$ $ 7 \cdot 38953 $ x7 - 2x6 + 3x5 - 4x4 + 4x3 - 3x2 + x - 1 $S_7$ $1$ $0$
6.61_4643.7t7.1c1 $6$ $ 61 \cdot 4643 $ x7 + x3 - 2x - 1 $S_7$ $1$ $0$
6.286711.7t7.1c1 $6$ $ 286711 $ x7 - x5 - 2x4 + x3 + 2x2 - x - 1 $S_7$ $1$ $0$
6.109_2659.7t7.1c1 $6$ $ 109 \cdot 2659 $ x7 + x5 - x4 + x3 - x2 + x - 1 $S_7$ $1$ $0$
6.289987.7t7.1c1 $6$ $ 289987 $ x7 - x6 + 2x5 - 2x4 + 2x3 - x2 + x - 1 $S_7$ $1$ $0$
6.29_43_241.7t7.1c1 $6$ $ 29 \cdot 43 \cdot 241 $ x7 - 2x6 + 2x5 - 2x3 + 4x2 - 3x + 1 $S_7$ $1$ $0$
6.277_1123.7t7.1c1 $6$ $ 277 \cdot 1123 $ x7 - x6 + 3x5 - 3x4 + 4x3 - 4x2 + 2x - 1 $S_7$ $1$ $0$
6.315631.7t7.1c1 $6$ $ 315631 $ x7 - x5 - 2x4 + x2 + x + 1 $S_7$ $1$ $0$
6.317159.7t7.1c1 $6$ $ 317159 $ x7 - 3x6 + 4x5 - 4x4 + 4x3 - 4x2 + 2x - 1 $S_7$ $1$ $0$
6.319831.7t7.1c1 $6$ $ 319831 $ x7 - x6 + 2x4 - 3x3 + 4x2 - 3x + 1 $S_7$ $1$ $0$
6.5e2_37_347.7t7.1c1 $6$ $ 5^{2} \cdot 37 \cdot 347 $ x7 - x6 + x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $0$
6.23_14369.7t7.1c1 $6$ $ 23 \cdot 14369 $ x7 + x5 - x3 - x - 1 $S_7$ $1$ $0$
6.332447.7t7.1c1 $6$ $ 332447 $ x7 - x5 - x4 + x3 + x2 - x - 1 $S_7$ $1$ $0$
6.334727.7t7.1c1 $6$ $ 334727 $ x7 - x5 - 2x4 - x3 + 2x2 + x + 1 $S_7$ $1$ $0$
6.7_48313.7t7.1c1 $6$ $ 7 \cdot 48313 $ x7 - x4 - 2x3 + 2x + 1 $S_7$ $1$ $0$
6.19_18413.7t7.1c1 $6$ $ 19 \cdot 18413 $ x7 - x6 + x5 - x4 + x2 - x + 1 $S_7$ $1$ $0$
6.351587.7t7.1c1 $6$ $ 351587 $ x7 - 2x5 - 2x4 + 2x3 + 3x2 - 1 $S_7$ $1$ $0$
6.5_53_1327.7t7.1c1 $6$ $ 5 \cdot 53 \cdot 1327 $ x7 - x6 - 2x4 + x3 + x + 1 $S_7$ $1$ $0$
6.13e2_17_127.7t7.1c1 $6$ $ 13^{2} \cdot 17 \cdot 127 $ x7 - x6 + 2x4 + 2x + 1 $S_7$ $1$ $0$
6.371131.7t7.1c1 $6$ $ 371131 $ x7 - x4 - 2x2 - x - 1 $S_7$ $1$ $0$
6.13_29_991.7t7.1c1 $6$ $ 13 \cdot 29 \cdot 991 $ x7 - x6 + x5 - 2x3 + 3x2 - 2x + 1 $S_7$ $1$ $0$
6.389_967.7t7.1c1 $6$ $ 389 \cdot 967 $ x7 - x6 - x4 - x3 + x2 + x + 1 $S_7$ $1$ $0$
6.11_89_389.7t7.1c1 $6$ $ 11 \cdot 89 \cdot 389 $ x7 - x5 - x4 - x3 + 2x + 1 $S_7$ $1$ $0$
6.382631.7t7.1c1 $6$ $ 382631 $ x7 - x5 + x3 - x - 1 $S_7$ $1$ $0$
6.31_12377.7t7.1c1 $6$ $ 31 \cdot 12377 $ x7 - x6 + 2x5 - 2x4 + x3 - x + 1 $S_7$ $1$ $0$
6.396259.7t7.1c1 $6$ $ 396259 $ x7 - x4 - x3 + x + 1 $S_7$ $1$ $0$
6.499_797.7t7.1c1 $6$ $ 499 \cdot 797 $ x7 + x5 + x3 - 2x2 + x - 1 $S_7$ $1$ $0$
6.11_97_373.7t7.1c1 $6$ $ 11 \cdot 97 \cdot 373 $ x7 - 2x5 + 3x3 - x2 - x + 1 $S_7$ $1$ $0$
6.73_5507.7t7.1c1 $6$ $ 73 \cdot 5507 $ x7 - x6 + 2x5 - 4x4 + 3x3 - 3x2 + 2x - 1 $S_7$ $1$ $0$
6.313_1307.7t7.1c1 $6$ $ 313 \cdot 1307 $ x7 - x5 + 2x3 - 2x - 1 $S_7$ $1$ $0$
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