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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1344.9697.1a $1$ R \(\Q\) 1344.9697.1a $C_{84}.C_2^4$ $C_1$ $1$ 1.a1.a1 $1344$ 1.a1.a1
1344.9697.1b $1$ R \(\Q\) 1344.9697.1b $C_{84}.C_2^4$ $C_2$ $2$ 2.k1.b1 $672$ 1.a1.a1
1344.9697.1c $1$ R \(\Q\) 1344.9697.1c $C_{84}.C_2^4$ $C_2$ $2$ 2.k1.a1 $672$ 1.a1.a1
1344.9697.1d $1$ R \(\Q\) 1344.9697.1d $C_{84}.C_2^4$ $C_2$ $2$ 2.j1.b1 $672$ 1.a1.a1
1344.9697.1e $1$ R \(\Q\) 1344.9697.1e $C_{84}.C_2^4$ $C_2$ $2$ 2.j1.a1 $672$ 1.a1.a1
1344.9697.1f $1$ R \(\Q\) 1344.9697.1f $C_{84}.C_2^4$ $C_2$ $2$ 2.i1.b1 $672$ 1.a1.a1
1344.9697.1g $1$ R \(\Q\) 1344.9697.1g $C_{84}.C_2^4$ $C_2$ $2$ 2.i1.a1 $672$ 1.a1.a1
1344.9697.1h $1$ R \(\Q\) 1344.9697.1h $C_{84}.C_2^4$ $C_2$ $2$ 2.h1.b1 $672$ 1.a1.a1
1344.9697.1i $1$ R \(\Q\) 1344.9697.1i $C_{84}.C_2^4$ $C_2$ $2$ 2.h1.a1 $672$ 1.a1.a1
1344.9697.1j $1$ R \(\Q\) 1344.9697.1j $C_{84}.C_2^4$ $C_2$ $2$ 2.g1.a1 $672$ 1.a1.a1
1344.9697.1k $1$ R \(\Q\) 1344.9697.1k $C_{84}.C_2^4$ $C_2$ $2$ 2.f1.a1 $672$ 1.a1.a1
1344.9697.1l $1$ R \(\Q\) 1344.9697.1l $C_{84}.C_2^4$ $C_2$ $2$ 2.e1.a1 $672$ 1.a1.a1
1344.9697.1m $1$ R \(\Q\) 1344.9697.1m $C_{84}.C_2^4$ $C_2$ $2$ 2.d1.a1 $672$ 1.a1.a1
1344.9697.1n $1$ R \(\Q\) 1344.9697.1n $C_{84}.C_2^4$ $C_2$ $2$ 2.c1.a1 $672$ 1.a1.a1
1344.9697.1o $1$ R \(\Q\) 1344.9697.1o $C_{84}.C_2^4$ $C_2$ $2$ 2.b1.a1 $672$ 1.a1.a1
1344.9697.1p $1$ R \(\Q\) 1344.9697.1p $C_{84}.C_2^4$ $C_2$ $2$ 2.a1.a1 $672$ 1.a1.a1
1344.9697.2a $2$ R \(\Q\) 1344.9697.2a $C_{84}.C_2^4$ $S_3$ $6$ 6.a1.a1 $224$ 6.a1.a1
1344.9697.2b $2$ R \(\Q\) 1344.9697.2b $C_{84}.C_2^4$ $D_4$ $8$ 8.f1.a1 $168$ 4.a1.a1
1344.9697.2c $2$ R \(\Q\) 1344.9697.2c $C_{84}.C_2^4$ $D_4$ $8$ 8.d1.a1 $168$ 4.a1.a1
1344.9697.2d $2$ R \(\Q\) 1344.9697.2d $C_{84}.C_2^4$ $D_4$ $8$ 8.c1.a1 $168$ 4.a1.a1
1344.9697.2e $2$ R \(\Q\) 1344.9697.2e $C_{84}.C_2^4$ $D_4$ $8$ 8.a1.a1 $168$ 4.a1.a1
1344.9697.2f $2$ R \(\Q\) 1344.9697.2f $C_{84}.C_2^4$ $D_6$ $12$ 12.e1.b1 $112$ 6.a1.a1
1344.9697.2g $2$ R \(\Q\) 1344.9697.2g $C_{84}.C_2^4$ $D_6$ $12$ 12.e1.a1 $112$ 6.a1.a1
1344.9697.2h $2$ R \(\Q\) 1344.9697.2h $C_{84}.C_2^4$ $D_6$ $12$ 12.d1.b1 $112$ 6.a1.a1
1344.9697.2i $2$ R \(\Q\) 1344.9697.2i $C_{84}.C_2^4$ $D_6$ $12$ 12.d1.a1 $112$ 6.a1.a1
1344.9697.2j $2$ R \(\Q\) 1344.9697.2j $C_{84}.C_2^4$ $D_6$ $12$ 12.c1.a1 $112$ 6.a1.a1
1344.9697.2k $2$ R \(\Q\) 1344.9697.2k $C_{84}.C_2^4$ $D_6$ $12$ 12.b1.a1 $112$ 6.a1.a1
1344.9697.2l $2$ R \(\Q\) 1344.9697.2l $C_{84}.C_2^4$ $D_6$ $12$ 12.a1.a1 $112$ 6.a1.a1
1344.9697.2m1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2m $C_{84}.C_2^4$ $D_7$ $14$ 14.a1.a1 $96$ 14.a1.a1
1344.9697.2m2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2m $C_{84}.C_2^4$ $D_7$ $14$ 14.a1.a1 $96$ 14.a1.a1
1344.9697.2m3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2m $C_{84}.C_2^4$ $D_7$ $14$ 14.a1.a1 $96$ 14.a1.a1
1344.9697.2n1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2n $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1.b1 $48$ 14.a1.a1
1344.9697.2n2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2n $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1.b1 $48$ 14.a1.a1
1344.9697.2n3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2n $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1.b1 $48$ 14.a1.a1
1344.9697.2o1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2o $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1.a1 $48$ 14.a1.a1
1344.9697.2o2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2o $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1.a1 $48$ 14.a1.a1
1344.9697.2o3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2o $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1.a1 $48$ 14.a1.a1
1344.9697.2p1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2p $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1.b1 $48$ 14.a1.a1
1344.9697.2p2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2p $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1.b1 $48$ 14.a1.a1
1344.9697.2p3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2p $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1.b1 $48$ 14.a1.a1
1344.9697.2q1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2q $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1.a1 $48$ 14.a1.a1
1344.9697.2q2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2q $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1.a1 $48$ 14.a1.a1
1344.9697.2q3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2q $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1.a1 $48$ 14.a1.a1
1344.9697.2r1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2r $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1.a1 $48$ 14.a1.a1
1344.9697.2r2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2r $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1.a1 $48$ 14.a1.a1
1344.9697.2r3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2r $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1.a1 $48$ 14.a1.a1
1344.9697.2s1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2s $C_{84}.C_2^4$ $D_{14}$ $28$ 28.b1.a1 $48$ 14.a1.a1
1344.9697.2s2 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2s $C_{84}.C_2^4$ $D_{14}$ $28$ 28.b1.a1 $48$ 14.a1.a1
1344.9697.2s3 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2s $C_{84}.C_2^4$ $D_{14}$ $28$ 28.b1.a1 $48$ 14.a1.a1
1344.9697.2t1 $2$ R \(\Q(\zeta_{7})^+\) 1344.9697.2t $C_{84}.C_2^4$ $D_{14}$ $28$ 28.a1.a1 $48$ 14.a1.a1
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