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Label Degree Type Faithful Field of Traces $\Q$-character Group Image Image Order Kernel Kernel Order Center
900.81.1a $1$ R \(\Q\) 900.81.1a $C_{15}:C_{60}$ $C_1$ $1$ 1.a1.a1 $900$ 1.a1.a1
900.81.1aa1 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa2 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa3 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa4 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa5 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa6 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa7 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1aa8 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1aa $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.e1 $45$ 1.a1.a1
900.81.1ab1 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab2 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab3 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab4 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab5 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab6 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab7 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ab8 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ab $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.a1 $45$ 1.a1.a1
900.81.1ac1 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac2 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac3 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac4 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac5 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac6 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac7 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ac8 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ac $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.d1 $45$ 1.a1.a1
900.81.1ad1 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad2 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad3 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad4 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad5 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad6 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad7 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ad8 $1$ C \(\Q(\sqrt{-1}) \) 900.81.1ad $C_{15}:C_{60}$ $C_{20}$ $20$ 20.a1.f1 $45$ 1.a1.a1
900.81.1ae1 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae2 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae3 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae4 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae5 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae6 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae7 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1ae8 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ae $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.c1 $30$ 1.a1.a1
900.81.1af1 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af2 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af3 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af4 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af5 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af6 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af7 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1af8 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1af $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.b1 $30$ 1.a1.a1
900.81.1ag1 $1$ C \(\Q(\sqrt{-3}) \) 900.81.1ag $C_{15}:C_{60}$ $C_{30}$ $30$ 30.b1.e1 $30$ 1.a1.a1
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