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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$14$ $ 13^{6} \cdot 17^{4} \cdot 127^{4}$ 7.1.364871.1 $S_7$ $1$ $2$
$14$ $ 2^{28} \cdot 3^{26}$ 7.1.60466176.2 $S_7$ $1$ $0$
$14$ $ 184607^{4}$ 7.1.184607.1 $S_7$ $1$ $2$
$14$ $ 2^{18} \cdot 8363^{4}$ 7.1.535232.1 $S_7$ $1$ $2$
$14$ $ 193327^{4}$ 7.1.193327.1 $S_7$ $1$ $2$
$14$ $ 193607^{4}$ 7.1.193607.1 $S_7$ $1$ $2$
$14$ $ 29^{4} \cdot 6763^{4}$ 7.1.196127.1 $S_7$ $1$ $2$
$14$ $ 199559^{4}$ 7.1.199559.1 $S_7$ $1$ $2$
$14$ $ 17^{4} \cdot 11863^{4}$ 7.1.201671.1 $S_7$ $1$ $2$
$14$ $ 202471^{4}$ 7.1.202471.1 $S_7$ $1$ $2$
$14$ $ 7^{6} \cdot 31^{4} \cdot 353^{4}$ 7.1.536207.1 $S_7$ $1$ $2$
$14$ $ 11^{4} \cdot 41^{4} \cdot 461^{4}$ 7.1.207911.1 $S_7$ $1$ $2$
$14$ $ 19^{4} \cdot 11149^{4}$ 7.1.211831.1 $S_7$ $1$ $2$
$14$ $ 214607^{4}$ 7.1.214607.1 $S_7$ $1$ $2$
$14$ $ 2^{33} \cdot 3^{24}$ 7.1.13436928.1 $S_7$ $1$ $0$
$14$ $ 277^{4} \cdot 811^{4}$ 7.1.224647.1 $S_7$ $1$ $2$
$14$ $ 167^{4} \cdot 1361^{4}$ 7.1.227287.1 $S_7$ $1$ $2$
$14$ $ 23^{4} \cdot 10337^{4}$ 7.1.237751.1 $S_7$ $1$ $2$
$14$ $ 242147^{4}$ 7.1.242147.1 $S_7$ $1$ $2$
$14$ $ 2^{24} \cdot 3^{30}$ 7.1.90699264.1 $S_7$ $1$ $2$
$14$ $ 242971^{4}$ 7.1.242971.1 $S_7$ $1$ $2$
$14$ $ 13^{4} \cdot 19259^{4}$ 7.1.250367.1 $S_7$ $1$ $2$
$14$ $ 83^{4} \cdot 3037^{4}$ 7.1.252071.1 $S_7$ $1$ $2$
$14$ $ 307^{4} \cdot 853^{4}$ 7.1.261871.1 $S_7$ $1$ $2$
$14$ $ 101^{4} \cdot 2647^{4}$ 7.1.267347.1 $S_7$ $1$ $2$
$14$ $ 461^{4} \cdot 587^{4}$ 7.1.270607.1 $S_7$ $1$ $2$
$14$ $ 7^{4} \cdot 38953^{4}$ 7.1.272671.1 $S_7$ $1$ $2$
$14$ $ 2^{28} \cdot 3^{28}$ 7.1.60466176.2 $S_7$ $1$ $2$
$14$ $ 61^{4} \cdot 4643^{4}$ 7.1.283223.1 $S_7$ $1$ $2$
$14$ $ 286711^{4}$ 7.1.286711.1 $S_7$ $1$ $2$
$14$ $ 109^{4} \cdot 2659^{4}$ 7.1.289831.1 $S_7$ $1$ $2$
$14$ $ 289987^{4}$ 7.1.289987.1 $S_7$ $1$ $2$
$14$ $ 29^{4} \cdot 43^{4} \cdot 241^{4}$ 7.1.300527.1 $S_7$ $1$ $2$
$14$ $ 2^{27} \cdot 3^{29}$ 7.1.90699264.1 $S_7$ $1$ $0$
$14$ $ 277^{4} \cdot 1123^{4}$ 7.1.311071.1 $S_7$ $1$ $2$
$14$ $ 315631^{4}$ 7.1.315631.1 $S_7$ $1$ $2$
$14$ $ 317159^{4}$ 7.1.317159.1 $S_7$ $1$ $2$
$14$ $ 319831^{4}$ 7.1.319831.1 $S_7$ $1$ $2$
$14$ $ 5^{8} \cdot 37^{4} \cdot 347^{4}$ 7.1.320975.1 $S_7$ $1$ $2$
$14$ $ 2^{32} \cdot 3^{26}$ 7.1.60466176.2 $S_7$ $1$ $0$
$14$ $ 23^{4} \cdot 14369^{4}$ 7.1.330487.1 $S_7$ $1$ $2$
$14$ $ 332447^{4}$ 7.1.332447.1 $S_7$ $1$ $2$
$14$ $ 334727^{4}$ 7.1.334727.1 $S_7$ $1$ $2$
$14$ $ 2^{37} \cdot 3^{23}$ 7.1.161243136.1 $S_7$ $1$ $0$
$14$ $ 7^{4} \cdot 48313^{4}$ 7.1.338191.1 $S_7$ $1$ $2$
$14$ $ 19^{4} \cdot 18413^{4}$ 7.1.349847.1 $S_7$ $1$ $2$
$14$ $ 351587^{4}$ 7.1.351587.1 $S_7$ $1$ $2$
$14$ $ 5^{4} \cdot 53^{4} \cdot 1327^{4}$ 7.1.351655.1 $S_7$ $1$ $2$
$14$ $ 371131^{4}$ 7.1.371131.1 $S_7$ $1$ $2$
$14$ $ 2^{36} \cdot 3^{24}$ 7.1.13436928.1 $S_7$ $1$ $2$
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