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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
770.9.1a $1$ R \(\Q\) 770.9.1a $C_7\times D_{55}$ $C_1$ $1$ 1.a1.a1 $770$ 1.a1.a1
770.9.1b $1$ R \(\Q\) 770.9.1b $C_7\times D_{55}$ $C_2$ $2$ 2.a1.a1 $385$ 1.a1.a1
770.9.1c1 $1$ C \(\Q(\zeta_{7})\) 770.9.1c $C_7\times D_{55}$ $C_7$ $7$ 7.a1.a1 $110$ 1.a1.a1
770.9.1c2 $1$ C \(\Q(\zeta_{7})\) 770.9.1c $C_7\times D_{55}$ $C_7$ $7$ 7.a1.a1 $110$ 1.a1.a1
770.9.1c3 $1$ C \(\Q(\zeta_{7})\) 770.9.1c $C_7\times D_{55}$ $C_7$ $7$ 7.a1.a1 $110$ 1.a1.a1
770.9.1c4 $1$ C \(\Q(\zeta_{7})\) 770.9.1c $C_7\times D_{55}$ $C_7$ $7$ 7.a1.a1 $110$ 1.a1.a1
770.9.1c5 $1$ C \(\Q(\zeta_{7})\) 770.9.1c $C_7\times D_{55}$ $C_7$ $7$ 7.a1.a1 $110$ 1.a1.a1
770.9.1c6 $1$ C \(\Q(\zeta_{7})\) 770.9.1c $C_7\times D_{55}$ $C_7$ $7$ 7.a1.a1 $110$ 1.a1.a1
770.9.1d1 $1$ C \(\Q(\zeta_{7})\) 770.9.1d $C_7\times D_{55}$ $C_{14}$ $14$ 14.a1.a1 $55$ 1.a1.a1
770.9.1d2 $1$ C \(\Q(\zeta_{7})\) 770.9.1d $C_7\times D_{55}$ $C_{14}$ $14$ 14.a1.a1 $55$ 1.a1.a1
770.9.1d3 $1$ C \(\Q(\zeta_{7})\) 770.9.1d $C_7\times D_{55}$ $C_{14}$ $14$ 14.a1.a1 $55$ 1.a1.a1
770.9.1d4 $1$ C \(\Q(\zeta_{7})\) 770.9.1d $C_7\times D_{55}$ $C_{14}$ $14$ 14.a1.a1 $55$ 1.a1.a1
770.9.1d5 $1$ C \(\Q(\zeta_{7})\) 770.9.1d $C_7\times D_{55}$ $C_{14}$ $14$ 14.a1.a1 $55$ 1.a1.a1
770.9.1d6 $1$ C \(\Q(\zeta_{7})\) 770.9.1d $C_7\times D_{55}$ $C_{14}$ $14$ 14.a1.a1 $55$ 1.a1.a1
770.9.2a1 $2$ R \(\Q(\sqrt{5}) \) 770.9.2a $C_7\times D_{55}$ $D_5$ $10$ 10.a1.a1 $77$ 10.a1.a1
770.9.2a2 $2$ R \(\Q(\sqrt{5}) \) 770.9.2a $C_7\times D_{55}$ $D_5$ $10$ 10.a1.a1 $77$ 10.a1.a1
770.9.2b1 $2$ R \(\Q(\zeta_{11})^+\) 770.9.2b $C_7\times D_{55}$ $D_{11}$ $22$ 22.a1.a1 $35$ 22.a1.a1
770.9.2b2 $2$ R \(\Q(\zeta_{11})^+\) 770.9.2b $C_7\times D_{55}$ $D_{11}$ $22$ 22.a1.a1 $35$ 22.a1.a1
770.9.2b3 $2$ R \(\Q(\zeta_{11})^+\) 770.9.2b $C_7\times D_{55}$ $D_{11}$ $22$ 22.a1.a1 $35$ 22.a1.a1
770.9.2b4 $2$ R \(\Q(\zeta_{11})^+\) 770.9.2b $C_7\times D_{55}$ $D_{11}$ $22$ 22.a1.a1 $35$ 22.a1.a1
770.9.2b5 $2$ R \(\Q(\zeta_{11})^+\) 770.9.2b $C_7\times D_{55}$ $D_{11}$ $22$ 22.a1.a1 $35$ 22.a1.a1
770.9.2c1 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c10 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c11 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c12 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c2 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c3 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c4 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c5 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c6 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c7 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c8 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2c9 $2$ C 12.0.4413675765625.1 770.9.2c $C_7\times D_{55}$ $C_7\times D_5$ $70$ 70.a1.a1 $11$ 10.a1.a1
770.9.2d1 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d10 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d11 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d12 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d13 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d14 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d15 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d16 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d17 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d18 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d19 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d2 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d20 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d3 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d4 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d5 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
770.9.2d6 $2$ R \(\Q(\zeta_{55})^+\) 770.9.2d $C_7\times D_{55}$ $D_{55}$ $110$ 110.a1.a1 $7$ 110.a1.a1
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