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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
800.1199.1a $1$ R \(\Q\) 800.1199.1a $D_{10}^2.C_2$ $C_1$ $1$ 1.a1 $800$ 1.a1
800.1199.1b $1$ R \(\Q\) 800.1199.1b $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1c $1$ R \(\Q\) 800.1199.1c $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1d $1$ R \(\Q\) 800.1199.1d $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1e $1$ R \(\Q\) 800.1199.1e $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1f $1$ R \(\Q\) 800.1199.1f $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1g $1$ R \(\Q\) 800.1199.1g $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1h $1$ R \(\Q\) 800.1199.1h $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1i $1$ R \(\Q\) 800.1199.1i $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1j $1$ R \(\Q\) 800.1199.1j $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1k $1$ R \(\Q\) 800.1199.1k $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1l $1$ R \(\Q\) 800.1199.1l $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1m $1$ R \(\Q\) 800.1199.1m $D_{10}^2.C_2$ $C_2$ $2$ 2.a1 $400$ 1.a1
800.1199.1n $1$ R \(\Q\) 800.1199.1n $D_{10}^2.C_2$ $C_2$ $2$ 2.c1 $400$ 1.a1
800.1199.1o $1$ R \(\Q\) 800.1199.1o $D_{10}^2.C_2$ $C_2$ $2$ 2.d1 $400$ 1.a1
800.1199.1p $1$ R \(\Q\) 800.1199.1p $D_{10}^2.C_2$ $C_2$ $2$ 2.b1 $400$ 1.a1
800.1199.1q1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1q $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1q2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1q $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1r1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1r $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1r2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1r $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1s1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1s $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1s2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1s $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1t1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1t $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1t2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1t $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1u1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1u $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1u2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1u $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1v1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1v $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1v2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1v $D_{10}^2.C_2$ $C_4$ $4$ 4.b1 $200$ 1.a1
800.1199.1w1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1w $D_{10}^2.C_2$ $C_4$ $4$ 4.e1 $200$ 1.a1
800.1199.1w2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1w $D_{10}^2.C_2$ $C_4$ $4$ 4.e1 $200$ 1.a1
800.1199.1x1 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1x $D_{10}^2.C_2$ $C_4$ $4$ 4.e1 $200$ 1.a1
800.1199.1x2 $1$ C \(\Q(\sqrt{-1}) \) 800.1199.1x $D_{10}^2.C_2$ $C_4$ $4$ 4.e1 $200$ 1.a1
800.1199.4a $4$ R \(\Q\) 800.1199.4a $D_{10}^2.C_2$ $F_5$ $20$ 20.a1 $40$ 20.a1
800.1199.4b $4$ R \(\Q\) 800.1199.4b $D_{10}^2.C_2$ $F_5$ $20$ 20.a1 $40$ 20.a1
800.1199.4c $4$ R \(\Q\) 800.1199.4c $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4d $4$ R \(\Q\) 800.1199.4d $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4e $4$ R \(\Q\) 800.1199.4e $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4f $4$ R \(\Q\) 800.1199.4f $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4g $4$ R \(\Q\) 800.1199.4g $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4h $4$ R \(\Q\) 800.1199.4h $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4i $4$ R \(\Q\) 800.1199.4i $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4j $4$ R \(\Q\) 800.1199.4j $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4k $4$ R \(\Q\) 800.1199.4k $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4l $4$ R \(\Q\) 800.1199.4l $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4m $4$ R \(\Q\) 800.1199.4m $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4n $4$ R \(\Q\) 800.1199.4n $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.a1 $20$ 20.a1
800.1199.4o $4$ R \(\Q\) 800.1199.4o $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.b1 $20$ 20.a1
800.1199.4p $4$ R \(\Q\) 800.1199.4p $D_{10}^2.C_2$ $C_2\times F_5$ $40$ 40.b1 $20$ 20.a1
800.1199.8a $8$ R \(\Q\) 800.1199.8a $D_{10}^2.C_2$ $D_5:F_5$ $200$ 200.a1 $4$ 200.a1
800.1199.8b $8$ R \(\Q\) 800.1199.8b $D_{10}^2.C_2$ $D_5:F_5$ $200$ 200.a1 $4$ 200.a1
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