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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
560.131.1a $1$ R \(\Q\) 560.131.1a $C_{14}:D_{20}$ $C_1$ $1$ 1.a1.a1 $560$ 1.a1.a1
560.131.1b $1$ R \(\Q\) 560.131.1b $C_{14}:D_{20}$ $C_2$ $2$ 2.d1.d1 $280$ 1.a1.a1
560.131.1c $1$ R \(\Q\) 560.131.1c $C_{14}:D_{20}$ $C_2$ $2$ 2.d1.c1 $280$ 1.a1.a1
560.131.1d $1$ R \(\Q\) 560.131.1d $C_{14}:D_{20}$ $C_2$ $2$ 2.d1.b1 $280$ 1.a1.a1
560.131.1e $1$ R \(\Q\) 560.131.1e $C_{14}:D_{20}$ $C_2$ $2$ 2.d1.a1 $280$ 1.a1.a1
560.131.1f $1$ R \(\Q\) 560.131.1f $C_{14}:D_{20}$ $C_2$ $2$ 2.c1.a1 $280$ 1.a1.a1
560.131.1g $1$ R \(\Q\) 560.131.1g $C_{14}:D_{20}$ $C_2$ $2$ 2.b1.a1 $280$ 1.a1.a1
560.131.1h $1$ R \(\Q\) 560.131.1h $C_{14}:D_{20}$ $C_2$ $2$ 2.a1.a1 $280$ 1.a1.a1
560.131.2a $2$ R \(\Q\) 560.131.2a $C_{14}:D_{20}$ $D_4$ $8$ 8.b1.b1 $70$ 4.a1.a1
560.131.2b $2$ R \(\Q\) 560.131.2b $C_{14}:D_{20}$ $D_4$ $8$ 8.b1.a1 $70$ 4.a1.a1
560.131.2c1 $2$ R \(\Q(\sqrt{5}) \) 560.131.2c $C_{14}:D_{20}$ $D_5$ $10$ 10.a1.a1 $56$ 10.a1.a1
560.131.2c2 $2$ R \(\Q(\sqrt{5}) \) 560.131.2c $C_{14}:D_{20}$ $D_5$ $10$ 10.a1.a1 $56$ 10.a1.a1
560.131.2d1 $2$ R \(\Q(\sqrt{5}) \) 560.131.2d $C_{14}:D_{20}$ $D_{10}$ $20$ 20.b1.b1 $28$ 10.a1.a1
560.131.2d2 $2$ R \(\Q(\sqrt{5}) \) 560.131.2d $C_{14}:D_{20}$ $D_{10}$ $20$ 20.b1.b1 $28$ 10.a1.a1
560.131.2e1 $2$ R \(\Q(\sqrt{5}) \) 560.131.2e $C_{14}:D_{20}$ $D_{10}$ $20$ 20.b1.a1 $28$ 10.a1.a1
560.131.2e2 $2$ R \(\Q(\sqrt{5}) \) 560.131.2e $C_{14}:D_{20}$ $D_{10}$ $20$ 20.b1.a1 $28$ 10.a1.a1
560.131.2f1 $2$ R \(\Q(\sqrt{5}) \) 560.131.2f $C_{14}:D_{20}$ $D_{10}$ $20$ 20.a1.a1 $28$ 10.a1.a1
560.131.2f2 $2$ R \(\Q(\sqrt{5}) \) 560.131.2f $C_{14}:D_{20}$ $D_{10}$ $20$ 20.a1.a1 $28$ 10.a1.a1
560.131.2g1 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2g $C_{14}:D_{20}$ $D_7$ $14$ 14.a1.a1 $40$ 14.a1.a1
560.131.2g2 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2g $C_{14}:D_{20}$ $D_7$ $14$ 14.a1.a1 $40$ 14.a1.a1
560.131.2g3 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2g $C_{14}:D_{20}$ $D_7$ $14$ 14.a1.a1 $40$ 14.a1.a1
560.131.2h1 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2h $C_{14}:D_{20}$ $D_{14}$ $28$ 28.b1.b1 $20$ 14.a1.a1
560.131.2h2 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2h $C_{14}:D_{20}$ $D_{14}$ $28$ 28.b1.b1 $20$ 14.a1.a1
560.131.2h3 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2h $C_{14}:D_{20}$ $D_{14}$ $28$ 28.b1.b1 $20$ 14.a1.a1
560.131.2i1 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2i $C_{14}:D_{20}$ $D_{14}$ $28$ 28.b1.a1 $20$ 14.a1.a1
560.131.2i2 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2i $C_{14}:D_{20}$ $D_{14}$ $28$ 28.b1.a1 $20$ 14.a1.a1
560.131.2i3 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2i $C_{14}:D_{20}$ $D_{14}$ $28$ 28.b1.a1 $20$ 14.a1.a1
560.131.2j1 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2j $C_{14}:D_{20}$ $D_{14}$ $28$ 28.a1.a1 $20$ 14.a1.a1
560.131.2j2 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2j $C_{14}:D_{20}$ $D_{14}$ $28$ 28.a1.a1 $20$ 14.a1.a1
560.131.2j3 $2$ R \(\Q(\zeta_{7})^+\) 560.131.2j $C_{14}:D_{20}$ $D_{14}$ $28$ 28.a1.a1 $20$ 14.a1.a1
560.131.2k1 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2k $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.b1 $14$ 20.a1.a1
560.131.2k2 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2k $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.b1 $14$ 20.a1.a1
560.131.2k3 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2k $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.b1 $14$ 20.a1.a1
560.131.2k4 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2k $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.b1 $14$ 20.a1.a1
560.131.2l1 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2l $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.a1 $14$ 20.a1.a1
560.131.2l2 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2l $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.a1 $14$ 20.a1.a1
560.131.2l3 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2l $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.a1 $14$ 20.a1.a1
560.131.2l4 $2$ R \(\Q(\zeta_{20})^+\) 560.131.2l $C_{14}:D_{20}$ $D_{20}$ $40$ 40.b1.a1 $14$ 20.a1.a1
560.131.2m1 $2$ C \(\Q(\zeta_{7})\) 560.131.2m $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.b1 $10$ 28.a1.a1
560.131.2m2 $2$ C \(\Q(\zeta_{7})\) 560.131.2m $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.b1 $10$ 28.a1.a1
560.131.2m3 $2$ C \(\Q(\zeta_{7})\) 560.131.2m $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.b1 $10$ 28.a1.a1
560.131.2m4 $2$ C \(\Q(\zeta_{7})\) 560.131.2m $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.b1 $10$ 28.a1.a1
560.131.2m5 $2$ C \(\Q(\zeta_{7})\) 560.131.2m $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.b1 $10$ 28.a1.a1
560.131.2m6 $2$ C \(\Q(\zeta_{7})\) 560.131.2m $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.b1 $10$ 28.a1.a1
560.131.2n1 $2$ C \(\Q(\zeta_{7})\) 560.131.2n $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.a1 $10$ 28.a1.a1
560.131.2n2 $2$ C \(\Q(\zeta_{7})\) 560.131.2n $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.a1 $10$ 28.a1.a1
560.131.2n3 $2$ C \(\Q(\zeta_{7})\) 560.131.2n $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.a1 $10$ 28.a1.a1
560.131.2n4 $2$ C \(\Q(\zeta_{7})\) 560.131.2n $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.a1 $10$ 28.a1.a1
560.131.2n5 $2$ C \(\Q(\zeta_{7})\) 560.131.2n $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.a1 $10$ 28.a1.a1
560.131.2n6 $2$ C \(\Q(\zeta_{7})\) 560.131.2n $C_{14}:D_{20}$ $C_7:D_4$ $56$ 56.b1.a1 $10$ 28.a1.a1
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