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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1170.2.a.a \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
1170.2.a.b \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+q^{13}+\cdots\)
1170.2.a.c \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(1\) \(-4\) \(+\) \(q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots\)
1170.2.a.d \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(1\) \(-4\) \(+\) \(q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots\)
1170.2.a.e \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(+\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1170.2.a.f \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(-\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1170.2.a.g \(1\) \(9.342\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(-\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1170.2.a.h \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) \(+\) \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
1170.2.a.i \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) \(-\) \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
1170.2.a.j \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) \(+\) \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1170.2.a.k \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(-1\) \(2\) \(-\) \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
1170.2.a.l \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(-1\) \(2\) \(-\) \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
1170.2.a.m \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-q^{13}+\cdots\)
1170.2.a.n \(1\) \(9.342\) \(\Q\) None \(1\) \(0\) \(1\) \(4\) \(-\) \(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)
1170.2.a.o \(2\) \(9.342\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{5}+\beta q^{7}-q^{8}+q^{10}+\cdots\)
1170.2.a.p \(2\) \(9.342\) \(\Q(\sqrt{13}) \) None \(-2\) \(0\) \(-2\) \(2\) \(-\) \(q-q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}-q^{8}+\cdots\)
1170.2.a.q \(2\) \(9.342\) \(\Q(\sqrt{13}) \) None \(2\) \(0\) \(2\) \(2\) \(-\) \(q+q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
1170.2.b.a \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-q^{4}+iq^{5}-iq^{8}-q^{10}+\cdots\)
1170.2.b.b \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-q^{4}-iq^{5}-iq^{8}+q^{10}+\cdots\)
1170.2.b.c \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{5}+iq^{8}+q^{10}+\cdots\)
1170.2.b.d \(4\) \(9.342\) \(\Q(i, \sqrt{13})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{4}-\beta _{1}q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1170.2.b.e \(4\) \(9.342\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}-q^{4}-\zeta_{12}q^{5}-\zeta_{12}q^{8}+\cdots\)
1170.2.b.f \(4\) \(9.342\) \(\Q(i, \sqrt{17})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{1}q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1170.2.b.g \(8\) \(9.342\) 8.0.3057647616.6 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{4}-\beta _{1}q^{5}-\beta _{7}q^{7}+\beta _{1}q^{8}+\cdots\)
1170.2.e.a \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{2}-q^{4}+(-2-i)q^{5}+2iq^{7}+\cdots\)
1170.2.e.b \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{2}-q^{4}+(-2+i)q^{5}+4iq^{7}+\cdots\)
1170.2.e.c \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-q^{4}+(-2-i)q^{5}+4iq^{7}+\cdots\)
1170.2.e.d \(2\) \(9.342\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q-iq^{2}-q^{4}+(2+i)q^{5}+iq^{8}+(1+\cdots)q^{10}+\cdots\)
1170.2.e.e \(4\) \(9.342\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1170.2.e.f \(6\) \(9.342\) 6.0.3534400.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{2}-q^{4}+(-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)
1170.2.e.g \(6\) \(9.342\) 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{2}-q^{4}+(-\beta _{2}+\beta _{5})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1170.2.e.h \(6\) \(9.342\) 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}-q^{4}+(\beta _{2}-\beta _{5})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1170.2.f.a \(4\) \(9.342\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(0\) \(3\) \(-2\) \(q-q^{2}+q^{4}+(1+\beta _{1})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1170.2.f.b \(4\) \(9.342\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(4\) \(0\) \(-3\) \(2\) \(q+q^{2}+q^{4}+(-1-\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1170.2.f.c \(6\) \(9.342\) 6.0.350464.1 None \(-6\) \(0\) \(-2\) \(-4\) \(q-q^{2}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1170.2.f.d \(6\) \(9.342\) 6.0.350464.1 None \(6\) \(0\) \(2\) \(4\) \(q+q^{2}+q^{4}+(\beta _{1}-\beta _{3})q^{5}+(1-\beta _{2}+\cdots)q^{7}+\cdots\)
1170.2.f.e \(8\) \(9.342\) 8.0.\(\cdots\).15 None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+\beta _{5}q^{5}-\beta _{4}q^{7}-q^{8}+\cdots\)
1170.2.f.f \(8\) \(9.342\) 8.0.\(\cdots\).15 None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{5}q^{5}-\beta _{4}q^{7}+q^{8}+\cdots\)
1170.2.i.a \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-2\) \(2\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}+2\zeta_{6}q^{7}+\cdots\)
1170.2.i.b \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-2\) \(4\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}+4\zeta_{6}q^{7}+\cdots\)
1170.2.i.c \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(-3\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}-3\zeta_{6}q^{7}+\cdots\)
1170.2.i.d \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(-2\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}-2\zeta_{6}q^{7}+\cdots\)
1170.2.i.e \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(0\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}+q^{8}+\cdots\)
1170.2.i.f \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(1\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}+\zeta_{6}q^{7}+\cdots\)
1170.2.i.g \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(5\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}+5\zeta_{6}q^{7}+\cdots\)
1170.2.i.h \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-2\) \(0\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots\)
1170.2.i.i \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-2\) \(3\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}+3\zeta_{6}q^{7}+\cdots\)
1170.2.i.j \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-2\) \(3\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}+3\zeta_{6}q^{7}+\cdots\)
1170.2.i.k \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(2\) \(-2\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}-2\zeta_{6}q^{7}+\cdots\)
1170.2.i.l \(2\) \(9.342\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(2\) \(4\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}+4\zeta_{6}q^{7}+\cdots\)
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