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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
784.135.1a $1$ R \(\Q\) 784.135.1a $D_{14}:D_{14}$ $C_1$ $1$ 1.a1 $784$ 1.a1
784.135.1b $1$ R \(\Q\) 784.135.1b $D_{14}:D_{14}$ $C_2$ $2$ 2.e1 $392$ 1.a1
784.135.1c $1$ R \(\Q\) 784.135.1c $D_{14}:D_{14}$ $C_2$ $2$ 2.c1 $392$ 1.a1
784.135.1d $1$ R \(\Q\) 784.135.1d $D_{14}:D_{14}$ $C_2$ $2$ 2.c1 $392$ 1.a1
784.135.1e $1$ R \(\Q\) 784.135.1e $D_{14}:D_{14}$ $C_2$ $2$ 2.d1 $392$ 1.a1
784.135.1f $1$ R \(\Q\) 784.135.1f $D_{14}:D_{14}$ $C_2$ $2$ 2.b1 $392$ 1.a1
784.135.1g $1$ R \(\Q\) 784.135.1g $D_{14}:D_{14}$ $C_2$ $2$ 2.a1 $392$ 1.a1
784.135.1h $1$ R \(\Q\) 784.135.1h $D_{14}:D_{14}$ $C_2$ $2$ 2.a1 $392$ 1.a1
784.135.2a $2$ R \(\Q\) 784.135.2a $D_{14}:D_{14}$ $D_4$ $8$ 8.b1 $98$ 4.c1
784.135.2b $2$ R \(\Q\) 784.135.2b $D_{14}:D_{14}$ $D_4$ $8$ 8.b1 $98$ 4.c1
784.135.2c1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2c $D_{14}:D_{14}$ $D_7$ $14$ 14.a1 $56$ 14.a1
784.135.2c2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2c $D_{14}:D_{14}$ $D_7$ $14$ 14.a1 $56$ 14.a1
784.135.2c3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2c $D_{14}:D_{14}$ $D_7$ $14$ 14.a1 $56$ 14.a1
784.135.2d1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2d $D_{14}:D_{14}$ $D_7$ $14$ 14.a1 $56$ 14.a1
784.135.2d2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2d $D_{14}:D_{14}$ $D_7$ $14$ 14.a1 $56$ 14.a1
784.135.2d3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2d $D_{14}:D_{14}$ $D_7$ $14$ 14.a1 $56$ 14.a1
784.135.2e1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2e $D_{14}:D_{14}$ $D_{14}$ $28$ 28.c1 $28$ 14.a1
784.135.2e2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2e $D_{14}:D_{14}$ $D_{14}$ $28$ 28.c1 $28$ 14.a1
784.135.2e3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2e $D_{14}:D_{14}$ $D_{14}$ $28$ 28.c1 $28$ 14.a1
784.135.2f1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2f $D_{14}:D_{14}$ $D_{14}$ $28$ 28.c1 $28$ 14.a1
784.135.2f2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2f $D_{14}:D_{14}$ $D_{14}$ $28$ 28.c1 $28$ 14.a1
784.135.2f3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2f $D_{14}:D_{14}$ $D_{14}$ $28$ 28.c1 $28$ 14.a1
784.135.2g1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2g $D_{14}:D_{14}$ $D_{14}$ $28$ 28.b1 $28$ 14.a1
784.135.2g2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2g $D_{14}:D_{14}$ $D_{14}$ $28$ 28.b1 $28$ 14.a1
784.135.2g3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2g $D_{14}:D_{14}$ $D_{14}$ $28$ 28.b1 $28$ 14.a1
784.135.2h1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2h $D_{14}:D_{14}$ $D_{14}$ $28$ 28.b1 $28$ 14.a1
784.135.2h2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2h $D_{14}:D_{14}$ $D_{14}$ $28$ 28.b1 $28$ 14.a1
784.135.2h3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2h $D_{14}:D_{14}$ $D_{14}$ $28$ 28.b1 $28$ 14.a1
784.135.2i1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2i $D_{14}:D_{14}$ $D_{14}$ $28$ 28.a1 $28$ 14.a1
784.135.2i2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2i $D_{14}:D_{14}$ $D_{14}$ $28$ 28.a1 $28$ 14.a1
784.135.2i3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2i $D_{14}:D_{14}$ $D_{14}$ $28$ 28.a1 $28$ 14.a1
784.135.2j1 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2j $D_{14}:D_{14}$ $D_{14}$ $28$ 28.a1 $28$ 14.a1
784.135.2j2 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2j $D_{14}:D_{14}$ $D_{14}$ $28$ 28.a1 $28$ 14.a1
784.135.2j3 $2$ R \(\Q(\zeta_{7})^+\) 784.135.2j $D_{14}:D_{14}$ $D_{14}$ $28$ 28.a1 $28$ 14.a1
784.135.4a1 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4a $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4a2 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4a $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4a3 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4a $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4b1 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4b $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4b2 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4b $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4b3 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4b $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4c1 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4c $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4c2 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4c $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4c3 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4c $D_{14}:D_{14}$ $D_7^2$ $196$ 196.a1 $4$ 196.a1
784.135.4d1 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4d $D_{14}:D_{14}$ $D_4\times D_7$ $112$ 112.a1 $7$ 56.a1
784.135.4d2 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4d $D_{14}:D_{14}$ $D_4\times D_7$ $112$ 112.a1 $7$ 56.a1
784.135.4d3 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4d $D_{14}:D_{14}$ $D_4\times D_7$ $112$ 112.a1 $7$ 56.a1
784.135.4e1 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4e $D_{14}:D_{14}$ $D_4\times D_7$ $112$ 112.a1 $7$ 56.a1
784.135.4e2 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4e $D_{14}:D_{14}$ $D_4\times D_7$ $112$ 112.a1 $7$ 56.a1
784.135.4e3 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4e $D_{14}:D_{14}$ $D_4\times D_7$ $112$ 112.a1 $7$ 56.a1
784.135.4f1 $4$ R \(\Q(\zeta_{7})^+\) 784.135.4f $D_{14}:D_{14}$ $D_7\times D_{14}$ $392$ 392.a1 $2$ 196.a1
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