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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
10.11e4_41e6.30t176.2c1 $10$ $ 11^{4} \cdot 41^{6}$ x6 - x5 - 4x4 + 6x3 - 6x + 5 $S_6$ $1$ $-2$
10.2e8_3e20_5e4.30t176.2c1 $10$ $ 2^{8} \cdot 3^{20} \cdot 5^{4}$ x6 + 3x4 - 4x3 + 9x2 - 6x + 1 $S_6$ $1$ $-2$
10.2e24_3e16.30t88.1c1 $10$ $ 2^{24} \cdot 3^{16}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $-2$
10.2e8_3e12_7e8.30t176.2c1 $10$ $ 2^{8} \cdot 3^{12} \cdot 7^{8}$ x6 + 5x4 - 2x3 + 9x2 - 8x + 16 $S_6$ $1$ $2$
10.2e24_3e8_5e6.30t176.3c1 $10$ $ 2^{24} \cdot 3^{8} \cdot 5^{6}$ x6 - 2x5 - x4 + 6x3 - 2x2 - 4x - 1 $S_6$ $1$ $-2$
10.2e24_3e8_5e6.30t176.4c1 $10$ $ 2^{24} \cdot 3^{8} \cdot 5^{6}$ x6 - 2x5 - x4 + 6x3 - 2x2 - 4x - 1 $S_6$ $1$ $-2$
10.3e4_167e6.30t176.1c1 $10$ $ 3^{4} \cdot 167^{6}$ x6 + 2x2 - x + 1 $S_6$ $1$ $-2$
10.17e6_101e4.30t176.1c1 $10$ $ 17^{6} \cdot 101^{4}$ x6 - 2x5 + x4 + x3 - 2x2 + x + 1 $S_6$ $1$ $-2$
10.3e14_29e6.30t88.1c1 $10$ $ 3^{14} \cdot 29^{6}$ x6 - 3x3 - 3x + 4 $A_6$ $1$ $-2$
10.2e26_3e16.30t176.4c1 $10$ $ 2^{26} \cdot 3^{16}$ x6 - 2x5 + x4 + x2 - 2x - 1 $S_6$ $1$ $-2$
10.2e26_3e16.30t176.2c1 $10$ $ 2^{26} \cdot 3^{16}$ x6 - 6x4 - 4x3 + 6x2 - 6 $S_6$ $1$ $-2$
10.2e20_3e20.30t176.2c1 $10$ $ 2^{20} \cdot 3^{20}$ x6 + 3x4 - 4x3 - 6x - 2 $S_6$ $1$ $-2$
10.3e14_31e6.30t88.2c1 $10$ $ 3^{14} \cdot 31^{6}$ x6 - x3 - 3x2 - 1 $A_6$ $1$ $-2$
10.2e6_47e4_61e4.30t176.1c1 $10$ $ 2^{6} \cdot 47^{4} \cdot 61^{4}$ x6 - x5 - x3 + x + 1 $S_6$ $1$ $-2$
10.2e12_101e6.30t176.1c1 $10$ $ 2^{12} \cdot 101^{6}$ x6 - x5 + x4 - x3 + 3x2 + 1 $S_6$ $1$ $-2$
10.3e14_5e6_17e4.30t176.1c1 $10$ $ 3^{14} \cdot 5^{6} \cdot 17^{4}$ x6 - 4x3 - 3x2 - 3x - 1 $S_6$ $1$ $-2$
10.3e14_193e4.30t176.1c1 $10$ $ 3^{14} \cdot 193^{4}$ x6 - 2x3 - 3x2 - 3x - 1 $S_6$ $1$ $-2$
10.2e24_3e4_7e8.30t176.2c1 $10$ $ 2^{24} \cdot 3^{4} \cdot 7^{8}$ x6 - 4x4 - 2x3 + x2 - 2x - 5 $S_6$ $1$ $-2$
10.2e6_3e12_5e12.30t176.1c1 $10$ $ 2^{6} \cdot 3^{12} \cdot 5^{12}$ x6 - 3x5 + 5x3 - 5 $S_6$ $1$ $-2$
10.2e6_3e12_5e12.30t176.2c1 $10$ $ 2^{6} \cdot 3^{12} \cdot 5^{12}$ x6 - 3x5 + 5x3 - 5 $S_6$ $1$ $-2$
10.11e6_41e6.30t176.2c1 $10$ $ 11^{6} \cdot 41^{6}$ x6 - x5 - 4x4 + 6x3 - 6x + 5 $S_6$ $1$ $2$
10.3e14_5e6_7e6.30t88.2c1 $10$ $ 3^{14} \cdot 5^{6} \cdot 7^{6}$ x6 + 3x4 - 12x2 - 15x + 16 $A_6$ $1$ $-2$
10.2e6_3461e4.30t176.1c1 $10$ $ 2^{6} \cdot 3461^{4}$ x6 - x5 - 2x4 + 3x3 - x + 1 $S_6$ $1$ $-2$
10.3e16_11e8.30t176.1c1 $10$ $ 3^{16} \cdot 11^{8}$ x6 + 3x4 - 2x3 + 6x2 + 9x + 5 $S_6$ $1$ $2$
10.3e16_11e8.30t176.2c1 $10$ $ 3^{16} \cdot 11^{8}$ x6 + 3x4 - 2x3 + 6x2 + 9x + 5 $S_6$ $1$ $-2$
10.2e16_5e16.30t176.2c1 $10$ $ 2^{16} \cdot 5^{16}$ x6 - 3x5 + 5x4 - 5x3 + 10x2 - 4x - 8 $S_6$ $1$ $-2$
10.3e16_5e12.30t176.1c1 $10$ $ 3^{16} \cdot 5^{12}$ x6 - 3x5 + 15x2 - 3x - 1 $S_6$ $1$ $-2$
10.3e16_5e12.30t176.2c1 $10$ $ 3^{16} \cdot 5^{12}$ x6 - 3x5 + 15x2 - 3x - 1 $S_6$ $1$ $-2$
10.2e28_3e16.30t176.1c1 $10$ $ 2^{28} \cdot 3^{16}$ x6 - 6x4 - 4x3 + 6x2 - 6 $S_6$ $1$ $-2$
10.2e12_3e12_7e8.30t176.2c1 $10$ $ 2^{12} \cdot 3^{12} \cdot 7^{8}$ x6 + 5x4 - 2x3 + 9x2 - 8x + 16 $S_6$ $1$ $-2$
10.2e8_3e20_5e6.30t176.2c1 $10$ $ 2^{8} \cdot 3^{20} \cdot 5^{6}$ x6 + 3x4 - 4x3 + 9x2 - 6x + 1 $S_6$ $1$ $-2$
10.2e9_3e14_7e8.70.1c1 10.2e9_3e14_7e8.70.1c2 $10$ $ 2^{9} \cdot 3^{14} \cdot 7^{8}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $0$ $-2$
10.2e22_3e20.30t176.2c1 $10$ $ 2^{22} \cdot 3^{20}$ x6 + 3x4 - 4x3 - 6x - 2 $S_6$ $1$ $-2$
10.3e6_167e6.30t176.1c1 $10$ $ 3^{6} \cdot 167^{6}$ x6 + 2x2 - x + 1 $S_6$ $1$ $2$
10.2e26_5e12.30t176.1c1 $10$ $ 2^{26} \cdot 5^{12}$ x6 - 2x5 + 5x4 - 10x2 + 8x - 6 $S_6$ $1$ $-2$
10.2e6_3e12_149e4.30t176.1c1 $10$ $ 2^{6} \cdot 3^{12} \cdot 149^{4}$ x6 - x5 + 2x4 + x3 - 2x2 + x + 1 $S_6$ $1$ $-2$
10.3e20_13e6.30t88.1c1 $10$ $ 3^{20} \cdot 13^{6}$ x6 - 3x5 + 3x4 - 3x2 + 3x + 2 $A_6$ $1$ $-2$
10.3e20_7e8.30t88.2c1 $10$ $ 3^{20} \cdot 7^{8}$ x6 - 3x5 + 3x4 + 9x3 - 18x2 - 9x + 18 $A_6$ $1$ $-2$
10.2e18_67e6.30t88.1c1 $10$ $ 2^{18} \cdot 67^{6}$ x6 - 2x4 + x2 - 2x - 1 $A_6$ $1$ $-2$
10.3e12_461e4.30t176.1c1 $10$ $ 3^{12} \cdot 461^{4}$ x6 - 3x5 + 3x4 + 2x3 - 6x2 + 3x + 1 $S_6$ $1$ $-2$
10.3e14_277e4.30t176.1c1 $10$ $ 3^{14} \cdot 277^{4}$ x6 - 3x4 + 3x2 - 3x + 1 $S_6$ $1$ $-2$
10.5e4_191e6.30t176.1c1 $10$ $ 5^{4} \cdot 191^{6}$ x6 - x4 - 3x3 + x + 3 $S_6$ $1$ $-2$
10.2e18_587e4.30t176.1c1 $10$ $ 2^{18} \cdot 587^{4}$ x6 - 2x5 + 2x4 - x2 + 2x - 1 $S_6$ $1$ $-2$
10.3e14_17e8.30t176.3c1 $10$ $ 3^{14} \cdot 17^{8}$ x6 - x5 - 2x4 + x3 + 14x2 - 17x + 6 $S_6$ $1$ $2$
10.3e14_17e8.30t176.4c1 $10$ $ 3^{14} \cdot 17^{8}$ x6 - x5 - 2x4 + x3 + 14x2 - 17x + 6 $S_6$ $1$ $-2$
10.2e6_3e4_17e6_23e4.30t176.1c1 $10$ $ 2^{6} \cdot 3^{4} \cdot 17^{6} \cdot 23^{4}$ x6 - x5 - 2x4 + 3x3 - 2x2 + 3x - 3 $S_6$ $1$ $-2$
10.2e24_223e4.30t176.1c1 $10$ $ 2^{24} \cdot 223^{4}$ x6 - 2x5 + 4x3 - 4x2 + 2 $S_6$ $1$ $-2$
10.14731e4.30t176.1c1 $10$ $ 14731^{4}$ x6 - x5 + x3 - x2 + 1 $S_6$ $1$ $-2$
10.2e18_3e12_5e8.30t176.3c1 $10$ $ 2^{18} \cdot 3^{12} \cdot 5^{8}$ x6 + 2x4 - 2x3 - 3x2 - 6x - 3 $S_6$ $1$ $-2$
10.2e18_3e12_5e8.30t176.4c1 $10$ $ 2^{18} \cdot 3^{12} \cdot 5^{8}$ x6 + 2x4 - 2x3 - 3x2 - 6x - 3 $S_6$ $1$ $-2$
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