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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1344.11566.1a $1$ R \(\Q\) 1344.11566.1a $C_{84}.C_2^4$ $C_1$ $1$ 1.a1 $1344$ 1.a1
1344.11566.1aa $1$ R \(\Q\) 1344.11566.1aa $C_{84}.C_2^4$ $C_2$ $2$ 2.e1 $672$ 1.a1
1344.11566.1ab $1$ R \(\Q\) 1344.11566.1ab $C_{84}.C_2^4$ $C_2$ $2$ 2.f1 $672$ 1.a1
1344.11566.1ac $1$ R \(\Q\) 1344.11566.1ac $C_{84}.C_2^4$ $C_2$ $2$ 2.f1 $672$ 1.a1
1344.11566.1ad $1$ R \(\Q\) 1344.11566.1ad $C_{84}.C_2^4$ $C_2$ $2$ 2.i1 $672$ 1.a1
1344.11566.1ae $1$ R \(\Q\) 1344.11566.1ae $C_{84}.C_2^4$ $C_2$ $2$ 2.h1 $672$ 1.a1
1344.11566.1af $1$ R \(\Q\) 1344.11566.1af $C_{84}.C_2^4$ $C_2$ $2$ 2.g1 $672$ 1.a1
1344.11566.1b $1$ R \(\Q\) 1344.11566.1b $C_{84}.C_2^4$ $C_2$ $2$ 2.j1 $672$ 1.a1
1344.11566.1c $1$ R \(\Q\) 1344.11566.1c $C_{84}.C_2^4$ $C_2$ $2$ 2.j1 $672$ 1.a1
1344.11566.1d $1$ R \(\Q\) 1344.11566.1d $C_{84}.C_2^4$ $C_2$ $2$ 2.k1 $672$ 1.a1
1344.11566.1e $1$ R \(\Q\) 1344.11566.1e $C_{84}.C_2^4$ $C_2$ $2$ 2.k1 $672$ 1.a1
1344.11566.1f $1$ R \(\Q\) 1344.11566.1f $C_{84}.C_2^4$ $C_2$ $2$ 2.d1 $672$ 1.a1
1344.11566.1g $1$ R \(\Q\) 1344.11566.1g $C_{84}.C_2^4$ $C_2$ $2$ 2.c1 $672$ 1.a1
1344.11566.1h $1$ R \(\Q\) 1344.11566.1h $C_{84}.C_2^4$ $C_2$ $2$ 2.b1 $672$ 1.a1
1344.11566.1i $1$ R \(\Q\) 1344.11566.1i $C_{84}.C_2^4$ $C_2$ $2$ 2.a1 $672$ 1.a1
1344.11566.1j $1$ R \(\Q\) 1344.11566.1j $C_{84}.C_2^4$ $C_2$ $2$ 2.b1 $672$ 1.a1
1344.11566.1k $1$ R \(\Q\) 1344.11566.1k $C_{84}.C_2^4$ $C_2$ $2$ 2.a1 $672$ 1.a1
1344.11566.1l $1$ R \(\Q\) 1344.11566.1l $C_{84}.C_2^4$ $C_2$ $2$ 2.d1 $672$ 1.a1
1344.11566.1m $1$ R \(\Q\) 1344.11566.1m $C_{84}.C_2^4$ $C_2$ $2$ 2.c1 $672$ 1.a1
1344.11566.1n $1$ R \(\Q\) 1344.11566.1n $C_{84}.C_2^4$ $C_2$ $2$ 2.f1 $672$ 1.a1
1344.11566.1o $1$ R \(\Q\) 1344.11566.1o $C_{84}.C_2^4$ $C_2$ $2$ 2.f1 $672$ 1.a1
1344.11566.1p $1$ R \(\Q\) 1344.11566.1p $C_{84}.C_2^4$ $C_2$ $2$ 2.e1 $672$ 1.a1
1344.11566.1q $1$ R \(\Q\) 1344.11566.1q $C_{84}.C_2^4$ $C_2$ $2$ 2.e1 $672$ 1.a1
1344.11566.1r $1$ R \(\Q\) 1344.11566.1r $C_{84}.C_2^4$ $C_2$ $2$ 2.b1 $672$ 1.a1
1344.11566.1s $1$ R \(\Q\) 1344.11566.1s $C_{84}.C_2^4$ $C_2$ $2$ 2.a1 $672$ 1.a1
1344.11566.1t $1$ R \(\Q\) 1344.11566.1t $C_{84}.C_2^4$ $C_2$ $2$ 2.d1 $672$ 1.a1
1344.11566.1u $1$ R \(\Q\) 1344.11566.1u $C_{84}.C_2^4$ $C_2$ $2$ 2.c1 $672$ 1.a1
1344.11566.1v $1$ R \(\Q\) 1344.11566.1v $C_{84}.C_2^4$ $C_2$ $2$ 2.f1 $672$ 1.a1
1344.11566.1w $1$ R \(\Q\) 1344.11566.1w $C_{84}.C_2^4$ $C_2$ $2$ 2.f1 $672$ 1.a1
1344.11566.1x $1$ R \(\Q\) 1344.11566.1x $C_{84}.C_2^4$ $C_2$ $2$ 2.e1 $672$ 1.a1
1344.11566.1y $1$ R \(\Q\) 1344.11566.1y $C_{84}.C_2^4$ $C_2$ $2$ 2.e1 $672$ 1.a1
1344.11566.1z $1$ R \(\Q\) 1344.11566.1z $C_{84}.C_2^4$ $C_2$ $2$ 2.e1 $672$ 1.a1
1344.11566.2a $2$ R \(\Q\) 1344.11566.2a $C_{84}.C_2^4$ $S_3$ $6$ 6.a1 $224$ 6.a1
1344.11566.2aa1 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2aa $C_{84}.C_2^4$ $D_{14}$ $28$ 28.b1 $48$ 14.a1
1344.11566.2aa2 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2aa $C_{84}.C_2^4$ $D_{14}$ $28$ 28.b1 $48$ 14.a1
1344.11566.2aa3 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2aa $C_{84}.C_2^4$ $D_{14}$ $28$ 28.b1 $48$ 14.a1
1344.11566.2ab1 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ab $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1 $48$ 14.a1
1344.11566.2ab2 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ab $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1 $48$ 14.a1
1344.11566.2ab3 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ab $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1 $48$ 14.a1
1344.11566.2ac1 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ac $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1 $48$ 14.a1
1344.11566.2ac2 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ac $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1 $48$ 14.a1
1344.11566.2ac3 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ac $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1 $48$ 14.a1
1344.11566.2ad1 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ad $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1 $48$ 14.a1
1344.11566.2ad2 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ad $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1 $48$ 14.a1
1344.11566.2ad3 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ad $C_{84}.C_2^4$ $D_{14}$ $28$ 28.c1 $48$ 14.a1
1344.11566.2ae1 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ae $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1 $48$ 14.a1
1344.11566.2ae2 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ae $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1 $48$ 14.a1
1344.11566.2ae3 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2ae $C_{84}.C_2^4$ $D_{14}$ $28$ 28.d1 $48$ 14.a1
1344.11566.2af1 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2af $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1 $48$ 14.a1
1344.11566.2af2 $2$ R \(\Q(\zeta_{7})^+\) 1344.11566.2af $C_{84}.C_2^4$ $D_{14}$ $28$ 28.e1 $48$ 14.a1
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