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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
20.213...816.70.a.a $20$ $ 2^{60} \cdot 3^{32}$ x7 - 3x5 - x4 + 3x3 + 6x2 - x - 9 $S_7$ $1$ $0$
20.342...456.70.a.a $20$ $ 2^{48} \cdot 3^{40}$ x7 - x6 + 3x5 - 5x4 + 2x3 - 12x2 + x - 7 $S_7$ $1$ $0$
20.854...264.70.a.a $20$ $ 2^{62} \cdot 3^{32}$ x7 - 2x6 + 6x5 - 10x4 + 14x3 - 12x2 + 4x + 4 $S_7$ $1$ $0$
20.136...824.70.a.a $20$ $ 2^{50} \cdot 3^{40}$ x7 - 3x5 - 2x4 + 3x3 + 12x2 + 19x + 6 $S_7$ $1$ $0$
20.140...776.70.b.a $20$ $ 2^{60} \cdot 3^{40}$ x7 - x6 - x4 - 2x3 + 4x + 2 $S_7$ $1$ $0$
20.140...776.70.a.a $20$ $ 2^{60} \cdot 3^{40}$ x7 - 2x6 + 27x3 - 54x2 + 42x - 12 $S_7$ $1$ $0$
20.560...104.70.a.a $20$ $ 2^{62} \cdot 3^{40}$ x7 - 2x6 + 3x5 + x4 - 5x3 + 12x2 - 7x + 5 $S_7$ $1$ $0$
20.560...104.70.c.a $20$ $ 2^{62} \cdot 3^{40}$ x7 - 3x6 + 3x5 + x4 - 3x3 - 3x2 - 5x - 3 $S_7$ $1$ $0$
20.560...104.70.b.a $20$ $ 2^{62} \cdot 3^{40}$ x7 - 2x6 + 3x5 - 4x4 + 5x3 - 6x2 + 7x - 8 $S_7$ $1$ $0$
20.224...416.70.a.a $20$ $ 2^{64} \cdot 3^{40}$ x7 - x6 + 18x3 - 18x2 - 24x - 48 $S_7$ $1$ $0$
20.311...609.70.a.a $20$ $ 7^{10} \cdot 29^{12} \cdot 89^{10}$ x7 - 2x6 + 2x5 - x4 - x3 + 3x2 - 2x + 1 $S_7$ $1$ $0$
20.512...881.70.a.a $20$ $ 13^{12} \cdot 17^{10} \cdot 127^{10}$ x7 - x6 + 2x4 + 2x + 1 $S_7$ $1$ $0$
20.668...569.70.a.a $20$ $ 23^{10} \cdot 709^{12}$ x7 - x6 - 3x5 + 5x4 + 2x3 - 8x2 - 2x + 1 $S_7$ $1$ $0$
20.893...321.70.a.a $20$ $ 11^{12} \cdot 3511^{10}$ x7 - x6 - x4 + 2x3 - x2 + 2x - 1 $S_7$ $1$ $0$
20.200...009.70.a.a $20$ $ 53^{12} \cdot 577^{10}$ x7 - 3x6 + 3x5 + x4 - 6x3 + 5x2 - x - 1 $S_7$ $1$ $-4$
20.297...625.70.a.a $20$ $ 5^{12} \cdot 37^{10} \cdot 347^{10}$ x7 - x6 + x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $0$
20.456...201.70.a.a $20$ $ 7^{12} \cdot 8951^{10}$ x7 - 2x6 + 2x5 - 2x4 + x3 + 1 $S_7$ $1$ $0$
20.954...169.70.a.a $20$ $ 3^{24} \cdot 7127^{10}$ x7 - 2x6 + x5 + x2 - x - 1 $S_7$ $1$ $0$
20.106...769.70.a.a $20$ $ 3^{24} \cdot 7207^{10}$ x7 - x6 - x4 + x + 1 $S_7$ $1$ $0$
20.115...864.70.a.a $20$ $ 2^{36} \cdot 8363^{10}$ x7 - x6 + 3x5 - 4x4 + 3x3 - 4x2 + 2x - 1 $S_7$ $1$ $0$
20.340...049.70.a.a $20$ $ 7^{12} \cdot 31^{10} \cdot 353^{10}$ x7 - x6 + 2x5 + x4 + 2x2 + x + 1 $S_7$ $1$ $0$
20.141...536.40t942.a.a $20$ $ 2^{26} \cdot 11^{14} \cdot 113^{14}$ x10 - 14x8 + 61x6 - 97x4 + 46x2 - 1 $C_2^4 : A_5$ $1$ $20$
20.165...161.70.a.a $20$ $ 191^{10} \cdot 233^{12}$ x7 - 2x6 + x5 - x4 - 3x3 + 7x2 - x - 1 $S_7$ $1$ $0$
20.202...529.70.a.a $20$ $ 23^{12} \cdot 3137^{10}$ x7 - x6 - x5 + x4 + x2 - x - 1 $S_7$ $1$ $-4$
20.459...249.70.a.a $20$ $ 184607^{10}$ x7 - x6 - x5 + x4 - x2 + x + 1 $S_7$ $1$ $0$
20.677...441.70.a.a $20$ $ 3^{22} \cdot 17117^{10}$ x7 - 2x6 + x5 + 2x4 - x3 - 2x2 + x + 1 $S_7$ $1$ $0$
20.729...649.70.a.a $20$ $ 193327^{10}$ x7 - x6 + 2x4 - 2x3 + 2x - 1 $S_7$ $1$ $0$
20.739...249.70.a.a $20$ $ 193607^{10}$ x7 - x4 - x3 + x2 + 1 $S_7$ $1$ $0$
20.842...649.70.a.a $20$ $ 29^{10} \cdot 6763^{10}$ x7 - 2x6 + 2x5 - x4 + 2x2 - 2x + 1 $S_7$ $1$ $0$
20.100...401.70.a.a $20$ $ 199559^{10}$ x7 - x6 + x3 - x + 1 $S_7$ $1$ $0$
20.100...769.70.a.a $20$ $ 13^{12} \cdot 29^{10} \cdot 317^{10}$ x7 - x6 - x4 + 2x2 - x - 1 $S_7$ $1$ $-4$
20.111...201.70.a.a $20$ $ 17^{10} \cdot 11863^{10}$ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $0$
20.115...201.70.a.a $20$ $ 202471^{10}$ x7 - x6 - x5 + 2x4 - x2 + 1 $S_7$ $1$ $0$
20.126...992.40t1676.a.a $20$ $ 2^{40} \cdot 36497^{9}$ x10 - 9x8 + 27x6 - 31x4 + 12x2 - 1 $(C_2^4:A_5) : C_2$ $1$ $20$
20.132...481.70.a.a $20$ $ 11^{10} \cdot 13^{12} \cdot 859^{10}$ x7 - 2x6 - 2x5 + 6x4 - x3 - 4x2 + 2x + 1 $S_7$ $1$ $-4$
20.150...601.70.a.a $20$ $ 11^{10} \cdot 41^{10} \cdot 461^{10}$ x7 - x5 - x4 - x3 + x2 + x + 1 $S_7$ $1$ $0$
20.181...801.70.a.a $20$ $ 19^{10} \cdot 11149^{10}$ x7 - x6 + 2x5 - x4 + x2 - 2x + 1 $S_7$ $1$ $0$
20.207...249.70.a.a $20$ $ 214607^{10}$ x7 - x6 + 2x5 - 2x4 + 2x3 - 2x2 - 1 $S_7$ $1$ $0$
20.327...049.70.a.a $20$ $ 277^{10} \cdot 811^{10}$ x7 - 2x5 - x4 + 2x3 + 2x2 - 1 $S_7$ $1$ $0$
20.367...849.70.a.a $20$ $ 167^{10} \cdot 1361^{10}$ x7 - 2x6 + 3x5 - 3x4 + 3x3 - 2x2 + 2x - 1 $S_7$ $1$ $0$
20.577...001.70.a.a $20$ $ 23^{10} \cdot 10337^{10}$ x7 - x6 + x5 - x4 + x3 + x2 - 2x + 1 $S_7$ $1$ $0$
20.693...049.70.a.a $20$ $ 242147^{10}$ x7 - 2x6 + 2x5 - x4 - x3 + 2x2 - x + 1 $S_7$ $1$ $0$
20.717...201.70.a.a $20$ $ 242971^{10}$ x7 - x6 - x5 + 2x4 - 2x2 + x + 1 $S_7$ $1$ $0$
20.929...729.70.a.a $20$ $ 11^{12} \cdot 14033^{10}$ x7 - 2x5 - 4x4 - x3 + 4x2 + 4x + 1 $S_7$ $1$ $-4$
20.967...449.70.a.a $20$ $ 13^{10} \cdot 19259^{10}$ x7 - 2x6 + 4x5 - 4x4 + 3x3 - x2 - x + 1 $S_7$ $1$ $0$
20.103...201.70.a.a $20$ $ 83^{10} \cdot 3037^{10}$ x7 - x6 + 2x4 - x3 - 2x2 + x + 1 $S_7$ $1$ $0$
20.112...201.70.a.a $20$ $ 7^{12} \cdot 73^{10} \cdot 337^{10}$ x7 - 2x6 + 4x4 - 4x3 + 3x - 1 $S_7$ $1$ $-4$
20.151...201.70.a.a $20$ $ 307^{10} \cdot 853^{10}$ x7 - x6 - x5 + 2x4 - x3 - x2 + x - 1 $S_7$ $1$ $0$
20.186...049.70.a.a $20$ $ 101^{10} \cdot 2647^{10}$ x7 - x4 - 2x3 + x2 + x - 1 $S_7$ $1$ $0$
20.210...249.70.a.a $20$ $ 461^{10} \cdot 587^{10}$ x7 - x6 + x5 - 3x4 + 2x3 - 2x2 + 2x - 1 $S_7$ $1$ $0$
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