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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
1600.299.1a $1$ R \(\Q\) 1600.299.1a $(C_2\times C_4).D_{100}$ $C_1$ $1$ 1.a1.a1 $1600$ 1.a1.a1
1600.299.1b $1$ R \(\Q\) 1600.299.1b $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.g1.a1 $800$ 1.a1.a1
1600.299.1c $1$ R \(\Q\) 1600.299.1c $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.f1.a1 $800$ 1.a1.a1
1600.299.1d $1$ R \(\Q\) 1600.299.1d $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.e1.a1 $800$ 1.a1.a1
1600.299.1e $1$ R \(\Q\) 1600.299.1e $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.d1.a1 $800$ 1.a1.a1
1600.299.1f $1$ R \(\Q\) 1600.299.1f $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.c1.a1 $800$ 1.a1.a1
1600.299.1g $1$ R \(\Q\) 1600.299.1g $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.b1.a1 $800$ 1.a1.a1
1600.299.1h $1$ R \(\Q\) 1600.299.1h $(C_2\times C_4).D_{100}$ $C_2$ $2$ 2.a1.a1 $800$ 1.a1.a1
1600.299.1i1 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1i $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.d1 $400$ 1.a1.a1
1600.299.1i2 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1i $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.d1 $400$ 1.a1.a1
1600.299.1j1 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1j $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.c1 $400$ 1.a1.a1
1600.299.1j2 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1j $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.c1 $400$ 1.a1.a1
1600.299.1k1 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1k $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.b1 $400$ 1.a1.a1
1600.299.1k2 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1k $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.b1 $400$ 1.a1.a1
1600.299.1l1 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1l $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.a1 $400$ 1.a1.a1
1600.299.1l2 $1$ C \(\Q(\sqrt{-1}) \) 1600.299.1l $(C_2\times C_4).D_{100}$ $C_4$ $4$ 4.h1.a1 $400$ 1.a1.a1
1600.299.2a $2$ R \(\Q\) 1600.299.2a $(C_2\times C_4).D_{100}$ $D_4$ $8$ 8.f1.b1 $200$ 4.f1.a1
1600.299.2b $2$ R \(\Q\) 1600.299.2b $(C_2\times C_4).D_{100}$ $D_4$ $8$ 8.f1.a1 $200$ 4.f1.a1
1600.299.2c $2$ R \(\Q\) 1600.299.2c $(C_2\times C_4).D_{100}$ $D_4$ $8$ 8.e1.b1 $200$ 4.b1.a1
1600.299.2d $2$ R \(\Q\) 1600.299.2d $(C_2\times C_4).D_{100}$ $D_4$ $8$ 8.e1.a1 $200$ 4.b1.a1
1600.299.2e1 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2e $(C_2\times C_4).D_{100}$ $D_5$ $10$ 10.a1.a1 $160$ 10.a1.a1
1600.299.2e2 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2e $(C_2\times C_4).D_{100}$ $D_5$ $10$ 10.a1.a1 $160$ 10.a1.a1
1600.299.2f1 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2f $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.d1.a1 $100$ 4.b1.a1
1600.299.2f2 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2f $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.d1.a1 $100$ 4.b1.a1
1600.299.2g1 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2g $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.b1.a1 $100$ 4.e1.a1
1600.299.2g2 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2g $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.b1.a1 $100$ 4.e1.a1
1600.299.2h1 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2h $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.f1.a1 $100$ 4.f1.a1
1600.299.2h2 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2h $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.f1.a1 $100$ 4.f1.a1
1600.299.2i1 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2i $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.c1.a1 $100$ 4.e1.a1
1600.299.2i2 $2$ C \(\Q(\sqrt{-1}) \) 1600.299.2i $(C_2\times C_4).D_{100}$ $D_4:C_2$ $16$ 16.c1.a1 $100$ 4.e1.a1
1600.299.2j1 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2j $(C_2\times C_4).D_{100}$ $D_{10}$ $20$ 20.c1.a1 $80$ 10.a1.a1
1600.299.2j2 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2j $(C_2\times C_4).D_{100}$ $D_{10}$ $20$ 20.c1.a1 $80$ 10.a1.a1
1600.299.2k1 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2k $(C_2\times C_4).D_{100}$ $D_{10}$ $20$ 20.b1.a1 $80$ 10.a1.a1
1600.299.2k2 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2k $(C_2\times C_4).D_{100}$ $D_{10}$ $20$ 20.b1.a1 $80$ 10.a1.a1
1600.299.2l1 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2l $(C_2\times C_4).D_{100}$ $D_{10}$ $20$ 20.a1.a1 $80$ 10.a1.a1
1600.299.2l2 $2$ R \(\Q(\sqrt{5}) \) 1600.299.2l $(C_2\times C_4).D_{100}$ $D_{10}$ $20$ 20.a1.a1 $80$ 10.a1.a1
1600.299.2m1 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2m $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.b1 $40$ 10.a1.a1
1600.299.2m2 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2m $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.b1 $40$ 10.a1.a1
1600.299.2m3 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2m $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.b1 $40$ 10.a1.a1
1600.299.2m4 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2m $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.b1 $40$ 10.a1.a1
1600.299.2n1 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2n $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.a1 $40$ 10.a1.a1
1600.299.2n2 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2n $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.a1 $40$ 10.a1.a1
1600.299.2n3 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2n $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.a1 $40$ 10.a1.a1
1600.299.2n4 $2$ C \(\Q(i, \sqrt{5})\) 1600.299.2n $(C_2\times C_4).D_{100}$ $C_4\times D_5$ $40$ 40.b1.a1 $40$ 10.a1.a1
1600.299.2o1 $2$ R \(\Q(\zeta_{20})^+\) 1600.299.2o $(C_2\times C_4).D_{100}$ $D_{20}$ $40$ 40.c1.b1 $40$ 20.a1.a1
1600.299.2o2 $2$ R \(\Q(\zeta_{20})^+\) 1600.299.2o $(C_2\times C_4).D_{100}$ $D_{20}$ $40$ 40.c1.b1 $40$ 20.a1.a1
1600.299.2o3 $2$ R \(\Q(\zeta_{20})^+\) 1600.299.2o $(C_2\times C_4).D_{100}$ $D_{20}$ $40$ 40.c1.b1 $40$ 20.a1.a1
1600.299.2o4 $2$ R \(\Q(\zeta_{20})^+\) 1600.299.2o $(C_2\times C_4).D_{100}$ $D_{20}$ $40$ 40.c1.b1 $40$ 20.a1.a1
1600.299.2p1 $2$ R \(\Q(\zeta_{20})^+\) 1600.299.2p $(C_2\times C_4).D_{100}$ $D_{20}$ $40$ 40.c1.a1 $40$ 20.a1.a1
1600.299.2p2 $2$ R \(\Q(\zeta_{20})^+\) 1600.299.2p $(C_2\times C_4).D_{100}$ $D_{20}$ $40$ 40.c1.a1 $40$ 20.a1.a1
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