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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1404.156.1a $1$ R \(\Q\) 1404.156.1a $C_3^2:D_{78}$ $C_1$ $1$ 1.a1.a1 $1404$ 1.a1.a1
1404.156.1b $1$ R \(\Q\) 1404.156.1b $C_3^2:D_{78}$ $C_2$ $2$ 2.b1.b1 $702$ 1.a1.a1
1404.156.1c $1$ R \(\Q\) 1404.156.1c $C_3^2:D_{78}$ $C_2$ $2$ 2.b1.a1 $702$ 1.a1.a1
1404.156.1d $1$ R \(\Q\) 1404.156.1d $C_3^2:D_{78}$ $C_2$ $2$ 2.a1.a1 $702$ 1.a1.a1
1404.156.2a $2$ R \(\Q\) 1404.156.2a $C_3^2:D_{78}$ $S_3$ $6$ 6.a1.d1 $234$ 6.a1.d1
1404.156.2b $2$ R \(\Q\) 1404.156.2b $C_3^2:D_{78}$ $S_3$ $6$ 6.a1.c1 $234$ 6.a1.c1
1404.156.2c $2$ R \(\Q\) 1404.156.2c $C_3^2:D_{78}$ $S_3$ $6$ 6.a1.b1 $234$ 6.a1.b1
1404.156.2d $2$ R \(\Q\) 1404.156.2d $C_3^2:D_{78}$ $S_3$ $6$ 6.a1.a1 $234$ 6.a1.a1
1404.156.2e $2$ R \(\Q\) 1404.156.2e $C_3^2:D_{78}$ $D_6$ $12$ 12.a1.d1 $117$ 6.a1.d1
1404.156.2f $2$ R \(\Q\) 1404.156.2f $C_3^2:D_{78}$ $D_6$ $12$ 12.a1.c1 $117$ 6.a1.c1
1404.156.2g $2$ R \(\Q\) 1404.156.2g $C_3^2:D_{78}$ $D_6$ $12$ 12.a1.b1 $117$ 6.a1.b1
1404.156.2h $2$ R \(\Q\) 1404.156.2h $C_3^2:D_{78}$ $D_6$ $12$ 12.a1.a1 $117$ 6.a1.a1
1404.156.2i1 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2i $C_3^2:D_{78}$ $D_{13}$ $26$ 26.a1.a1 $54$ 26.a1.a1
1404.156.2i2 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2i $C_3^2:D_{78}$ $D_{13}$ $26$ 26.a1.a1 $54$ 26.a1.a1
1404.156.2i3 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2i $C_3^2:D_{78}$ $D_{13}$ $26$ 26.a1.a1 $54$ 26.a1.a1
1404.156.2i4 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2i $C_3^2:D_{78}$ $D_{13}$ $26$ 26.a1.a1 $54$ 26.a1.a1
1404.156.2i5 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2i $C_3^2:D_{78}$ $D_{13}$ $26$ 26.a1.a1 $54$ 26.a1.a1
1404.156.2i6 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2i $C_3^2:D_{78}$ $D_{13}$ $26$ 26.a1.a1 $54$ 26.a1.a1
1404.156.2j1 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2j $C_3^2:D_{78}$ $D_{26}$ $52$ 52.a1.a1 $27$ 26.a1.a1
1404.156.2j2 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2j $C_3^2:D_{78}$ $D_{26}$ $52$ 52.a1.a1 $27$ 26.a1.a1
1404.156.2j3 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2j $C_3^2:D_{78}$ $D_{26}$ $52$ 52.a1.a1 $27$ 26.a1.a1
1404.156.2j4 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2j $C_3^2:D_{78}$ $D_{26}$ $52$ 52.a1.a1 $27$ 26.a1.a1
1404.156.2j5 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2j $C_3^2:D_{78}$ $D_{26}$ $52$ 52.a1.a1 $27$ 26.a1.a1
1404.156.2j6 $2$ R \(\Q(\zeta_{13})^+\) 1404.156.2j $C_3^2:D_{78}$ $D_{26}$ $52$ 52.a1.a1 $27$ 26.a1.a1
1404.156.2k1 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k10 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k11 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k12 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k2 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k3 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k4 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k5 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k6 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k7 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k8 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2k9 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2k $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.d1 $18$ 78.a1.d1
1404.156.2l1 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l10 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l11 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l12 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l2 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l3 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l4 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l5 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l6 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l7 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l8 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2l9 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2l $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.c1 $18$ 78.a1.c1
1404.156.2m1 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2m $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.b1 $18$ 78.a1.b1
1404.156.2m10 $2$ R \(\Q(\zeta_{39})^+\) 1404.156.2m $C_3^2:D_{78}$ $D_{39}$ $78$ 78.a1.b1 $18$ 78.a1.b1
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