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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
497.1.1a $1$ R \(\Q\) 497.1.1a $C_{71}:C_7$ $C_1$ $1$ 1.a1.a1 $497$ 1.a1.a1
497.1.1b1 $1$ C \(\Q(\zeta_{7})\) 497.1.1b $C_{71}:C_7$ $C_7$ $7$ 7.a1.a1 $71$ 1.a1.a1
497.1.1b2 $1$ C \(\Q(\zeta_{7})\) 497.1.1b $C_{71}:C_7$ $C_7$ $7$ 7.a1.a1 $71$ 1.a1.a1
497.1.1b3 $1$ C \(\Q(\zeta_{7})\) 497.1.1b $C_{71}:C_7$ $C_7$ $7$ 7.a1.a1 $71$ 1.a1.a1
497.1.1b4 $1$ C \(\Q(\zeta_{7})\) 497.1.1b $C_{71}:C_7$ $C_7$ $7$ 7.a1.a1 $71$ 1.a1.a1
497.1.1b5 $1$ C \(\Q(\zeta_{7})\) 497.1.1b $C_{71}:C_7$ $C_7$ $7$ 7.a1.a1 $71$ 1.a1.a1
497.1.1b6 $1$ C \(\Q(\zeta_{7})\) 497.1.1b $C_{71}:C_7$ $C_7$ $7$ 7.a1.a1 $71$ 1.a1.a1
497.1.7a1 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a10 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a2 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a3 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a4 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a5 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a6 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a7 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a8 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
497.1.7a9 $7$ C 10.0.45848500718449031.1 497.1.7a $C_{71}:C_7$ $C_{71}:C_7$ $497$ 497.a1.a1 $1$ 497.a1.a1
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