## Results (displaying matches 1-50 of 3455) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
10.69546276192481.30t164.b.a $10$ $11^{4} \cdot 41^{6}$ x6 - x5 - 4x4 + 6x3 - 6x + 5 $S_6$ $1$ $-2$
10.557885504160000.30t164.a.a $10$ $2^{8} \cdot 3^{20} \cdot 5^{4}$ x6 + 3x4 - 4x3 + 9x2 - 6x + 1 $S_6$ $1$ $-2$
10.722204136308736.30t88.a.a $10$ $2^{24} \cdot 3^{16}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $-2$
10.784294811709696.30t164.b.a $10$ $2^{8} \cdot 3^{12} \cdot 7^{8}$ x6 + 5x4 - 2x3 + 9x2 - 8x + 16 $S_6$ $1$ $2$
10.1719926784000000.30t164.c.a $10$ $2^{24} \cdot 3^{8} \cdot 5^{6}$ x6 - 2x5 - x4 + 6x3 - 2x2 - 4x - 1 $S_6$ $1$ $-2$
10.1719926784000000.30t164.d.a $10$ $2^{24} \cdot 3^{8} \cdot 5^{6}$ x6 - 2x5 - x4 + 6x3 - 2x2 - 4x - 1 $S_6$ $1$ $-2$
10.1757048889305889.30t164.a.a $10$ $3^{4} \cdot 167^{6}$ x6 + 2x2 - x + 1 $S_6$ $1$ $-2$
10.2511765109305169.30t164.a.a $10$ $17^{6} \cdot 101^{4}$ x6 - 2x5 + x4 + x3 - 2x2 + x + 1 $S_6$ $1$ $-2$
10.2845021504820049.30t88.b.a $10$ $3^{14} \cdot 29^{6}$ x6 - 3x3 - 3x + 4 $A_6$ $1$ $-2$
10.2888816545234944.30t164.c.a $10$ $2^{26} \cdot 3^{16}$ x6 - 2x5 + x4 + x2 - 2x - 1 $S_6$ $1$ $-2$
10.2888816545234944.30t164.a.a $10$ $2^{26} \cdot 3^{16}$ x6 - 6x4 - 4x3 + 6x2 - 6 $S_6$ $1$ $-2$
10.3656158440062976.30t164.a.a $10$ $2^{20} \cdot 3^{20}$ x6 + 3x4 - 4x3 - 6x - 2 $S_6$ $1$ $-2$
10.4244902593608889.30t88.a.a $10$ $3^{14} \cdot 31^{6}$ x6 - x3 - 3x2 - 1 $A_6$ $1$ $-2$
10.4324050384430144.30t164.a.a $10$ $2^{6} \cdot 47^{4} \cdot 61^{4}$ x6 - x5 - x3 + x + 1 $S_6$ $1$ $-2$
10.4347986536861696.30t164.a.a $10$ $2^{12} \cdot 101^{6}$ x6 - x5 + x4 - x3 + 3x2 + 1 $S_6$ $1$ $-2$
10.6241849278890625.30t164.a.a $10$ $3^{14} \cdot 5^{6} \cdot 17^{4}$ x6 - 4x3 - 3x2 - 3x - 1 $S_6$ $1$ $-2$
10.6636312096654969.30t164.a.a $10$ $3^{14} \cdot 193^{4}$ x6 - 2x3 - 3x2 - 3x - 1 $S_6$ $1$ $-2$
10.7834102237495296.30t164.b.a $10$ $2^{24} \cdot 3^{4} \cdot 7^{8}$ x6 - 4x4 - 2x3 + x2 - 2x - 5 $S_6$ $1$ $-2$
10.8303765625000000.30t164.a.a $10$ $2^{6} \cdot 3^{12} \cdot 5^{12}$ x6 - 3x5 + 5x3 - 5 $S_6$ $1$ $-2$
10.8303765625000000.30t164.b.a $10$ $2^{6} \cdot 3^{12} \cdot 5^{12}$ x6 - 3x5 + 5x3 - 5 $S_6$ $1$ $-2$
10.8415099419290201.30t164.b.a $10$ $11^{6} \cdot 41^{6}$ x6 - x5 - 4x4 + 6x3 - 6x + 5 $S_6$ $1$ $2$
10.8792367498140625.30t88.a.a $10$ $3^{14} \cdot 5^{6} \cdot 7^{6}$ x6 + 3x4 - 12x2 - 15x + 16 $A_6$ $1$ $-2$
10.9183037782236224.30t164.a.a $10$ $2^{6} \cdot 3461^{4}$ x6 - x5 - 2x4 + 3x3 - x + 1 $S_6$ $1$ $-2$
10.9227446944279201.30t164.a.a $10$ $3^{16} \cdot 11^{8}$ x6 + 3x4 - 2x3 + 6x2 + 9x + 5 $S_6$ $1$ $2$
10.9227446944279201.30t164.b.a $10$ $3^{16} \cdot 11^{8}$ x6 + 3x4 - 2x3 + 6x2 + 9x + 5 $S_6$ $1$ $-2$
10.10000000000000000.30t164.a.a $10$ $2^{16} \cdot 5^{16}$ x6 - 3x5 + 5x4 - 5x3 + 10x2 - 4x - 8 $S_6$ $1$ $-2$
10.10509453369140625.30t164.a.a $10$ $3^{16} \cdot 5^{12}$ x6 - 3x5 + 15x2 - 3x - 1 $S_6$ $1$ $-2$
10.10509453369140625.30t164.b.a $10$ $3^{16} \cdot 5^{12}$ x6 - 3x5 + 15x2 - 3x - 1 $S_6$ $1$ $-2$
10.11555266180939776.30t164.a.a $10$ $2^{28} \cdot 3^{16}$ x6 - 6x4 - 4x3 + 6x2 - 6 $S_6$ $1$ $-2$
10.12548716987355136.30t164.b.a $10$ $2^{12} \cdot 3^{12} \cdot 7^{8}$ x6 + 5x4 - 2x3 + 9x2 - 8x + 16 $S_6$ $1$ $-2$
10.13947137604000000.30t164.a.a $10$ $2^{8} \cdot 3^{20} \cdot 5^{6}$ x6 + 3x4 - 4x3 + 9x2 - 6x + 1 $S_6$ $1$ $-2$
10.14117306610774528.70.a.a 10.14117306610774528.70.a.b $10$ $2^{9} \cdot 3^{14} \cdot 7^{8}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $0$ $-2$
10.14624633760251904.30t164.a.a $10$ $2^{22} \cdot 3^{20}$ x6 + 3x4 - 4x3 - 6x - 2 $S_6$ $1$ $-2$
10.15813440003753001.30t164.a.a $10$ $3^{6} \cdot 167^{6}$ x6 + 2x2 - x + 1 $S_6$ $1$ $2$
10.16384000000000000.30t164.a.a $10$ $2^{26} \cdot 5^{12}$ x6 - 2x5 + 5x4 - 10x2 + 8x - 6 $S_6$ $1$ $-2$
10.16764094652917824.30t164.a.a $10$ $2^{6} \cdot 3^{12} \cdot 149^{4}$ x6 - x5 + 2x4 + x3 - 2x2 + x + 1 $S_6$ $1$ $-2$
10.16830042327806409.30t88.a.a $10$ $3^{20} \cdot 13^{6}$ x6 - 3x5 + 3x4 - 3x2 + 3x + 2 $A_6$ $1$ $-2$
10.20100618201669201.30t88.b.a $10$ $3^{20} \cdot 7^{8}$ x6 - 3x5 + 3x4 + 9x3 - 18x2 - 9x + 18 $A_6$ $1$ $-2$
10.23713122135310336.30t88.a.a $10$ $2^{18} \cdot 67^{6}$ x6 - 2x4 + x2 - 2x - 1 $A_6$ $1$ $-2$
10.24002626001540481.30t164.a.a $10$ $3^{12} \cdot 461^{4}$ x6 - 3x5 + 3x4 + 2x3 - 6x2 + 3x + 1 $S_6$ $1$ $-2$
10.28158962038780329.30t164.a.a $10$ $3^{14} \cdot 277^{4}$ x6 - 3x4 + 3x2 - 3x + 1 $S_6$ $1$ $-2$
10.30344516420400625.30t164.a.a $10$ $5^{4} \cdot 191^{6}$ x6 - x4 - 3x3 + x + 3 $S_6$ $1$ $-2$
10.31123779291971584.30t164.a.a $10$ $2^{18} \cdot 587^{4}$ x6 - 2x5 + 2x4 - x2 + 2x - 1 $S_6$ $1$ $-2$
10.33364831591822329.30t164.c.a $10$ $3^{14} \cdot 17^{8}$ x6 - x5 - 2x4 + x3 + 14x2 - 17x + 6 $S_6$ $1$ $2$
10.33364831591822329.30t164.d.a $10$ $3^{14} \cdot 17^{8}$ x6 - x5 - 2x4 + x3 + 14x2 - 17x + 6 $S_6$ $1$ $-2$
10.35016268618806336.30t164.a.a $10$ $2^{6} \cdot 3^{4} \cdot 17^{6} \cdot 23^{4}$ x6 - x5 - 2x4 + 3x3 - 2x2 + 3x - 3 $S_6$ $1$ $-2$
10.41489609581920256.30t164.a.a $10$ $2^{24} \cdot 223^{4}$ x6 - 2x5 + 4x3 - 4x2 + 2 $S_6$ $1$ $-2$
10.47090024679574321.30t164.a.a $10$ $14731^{4}$ x6 - x5 + x3 - x2 + 1 $S_6$ $1$ $-2$
10.54419558400000000.30t164.c.a $10$ $2^{18} \cdot 3^{12} \cdot 5^{8}$ x6 + 2x4 - 2x3 - 3x2 - 6x - 3 $S_6$ $1$ $-2$
10.54419558400000000.30t164.d.a $10$ $2^{18} \cdot 3^{12} \cdot 5^{8}$ x6 + 2x4 - 2x3 - 3x2 - 6x - 3 $S_6$ $1$ $-2$
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