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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1850.2.a.a \(1\) \(14.772\) \(\Q\) None \(-1\) \(-2\) \(0\) \(-4\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-4q^{7}-q^{8}+\cdots\)
1850.2.a.b \(1\) \(14.772\) \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
1850.2.a.c \(1\) \(14.772\) \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
1850.2.a.d \(1\) \(14.772\) \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) \(+\) \(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{9}-3q^{11}+\cdots\)
1850.2.a.e \(1\) \(14.772\) \(\Q\) None \(-1\) \(0\) \(0\) \(2\) \(+\) \(q-q^{2}+q^{4}+2q^{7}-q^{8}-3q^{9}-2q^{13}+\cdots\)
1850.2.a.f \(1\) \(14.772\) \(\Q\) None \(-1\) \(2\) \(0\) \(-2\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-2q^{7}-q^{8}+\cdots\)
1850.2.a.g \(1\) \(14.772\) \(\Q\) None \(-1\) \(3\) \(0\) \(0\) \(-\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
1850.2.a.h \(1\) \(14.772\) \(\Q\) None \(1\) \(-3\) \(0\) \(0\) \(+\) \(q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots\)
1850.2.a.i \(1\) \(14.772\) \(\Q\) None \(1\) \(-2\) \(0\) \(-1\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}-q^{7}+q^{8}+\cdots\)
1850.2.a.j \(1\) \(14.772\) \(\Q\) None \(1\) \(0\) \(0\) \(-2\) \(+\) \(q+q^{2}+q^{4}-2q^{7}+q^{8}-3q^{9}+2q^{13}+\cdots\)
1850.2.a.k \(1\) \(14.772\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}-4q^{11}-2q^{13}+\cdots\)
1850.2.a.l \(1\) \(14.772\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(+\) \(q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{9}-3q^{11}+\cdots\)
1850.2.a.m \(1\) \(14.772\) \(\Q\) None \(1\) \(1\) \(0\) \(-4\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
1850.2.a.n \(1\) \(14.772\) \(\Q\) None \(1\) \(2\) \(0\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
1850.2.a.o \(1\) \(14.772\) \(\Q\) None \(1\) \(2\) \(0\) \(1\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
1850.2.a.p \(1\) \(14.772\) \(\Q\) None \(1\) \(2\) \(0\) \(4\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+4q^{7}+q^{8}+\cdots\)
1850.2.a.q \(2\) \(14.772\) \(\Q(\sqrt{33}) \) None \(-2\) \(-4\) \(0\) \(3\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}+(1+\beta )q^{7}+\cdots\)
1850.2.a.r \(2\) \(14.772\) \(\Q(\sqrt{6}) \) None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{6}+\cdots\)
1850.2.a.s \(2\) \(14.772\) \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(-4\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+(-2-\beta )q^{7}+\cdots\)
1850.2.a.t \(2\) \(14.772\) \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(0\) \(2\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+2\beta q^{7}+\cdots\)
1850.2.a.u \(2\) \(14.772\) \(\Q(\sqrt{13}) \) None \(2\) \(-3\) \(0\) \(-2\) \(-\) \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
1850.2.a.v \(2\) \(14.772\) \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(4\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(2-\beta )q^{7}+\cdots\)
1850.2.a.w \(2\) \(14.772\) \(\Q(\sqrt{6}) \) None \(2\) \(2\) \(0\) \(0\) \(-\) \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots\)
1850.2.a.x \(2\) \(14.772\) \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(6\) \(-\) \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots\)
1850.2.a.y \(3\) \(14.772\) 3.3.1524.1 None \(-3\) \(-1\) \(0\) \(-4\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
1850.2.a.z \(3\) \(14.772\) 3.3.892.1 None \(-3\) \(0\) \(0\) \(1\) \(-\) \(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}+\beta _{1}q^{7}+\cdots\)
1850.2.a.ba \(3\) \(14.772\) 3.3.148.1 None \(-3\) \(3\) \(0\) \(4\) \(-\) \(q-q^{2}+(1+\beta _{2})q^{3}+q^{4}+(-1-\beta _{2})q^{6}+\cdots\)
1850.2.a.bb \(3\) \(14.772\) 3.3.148.1 None \(3\) \(-3\) \(0\) \(-4\) \(+\) \(q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(-1-\beta _{2})q^{6}+\cdots\)
1850.2.a.bc \(3\) \(14.772\) 3.3.1524.1 None \(3\) \(1\) \(0\) \(4\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
1850.2.a.bd \(5\) \(14.772\) 5.5.1791440.1 None \(-5\) \(0\) \(0\) \(1\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1850.2.a.be \(5\) \(14.772\) 5.5.1791440.1 None \(5\) \(0\) \(0\) \(-1\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1850.2.b.a \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-iq^{8}+\cdots\)
1850.2.b.b \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}+2iq^{7}+\cdots\)
1850.2.b.c \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}-iq^{7}+\cdots\)
1850.2.b.d \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{8}+3q^{9}-4q^{11}+\cdots\)
1850.2.b.e \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+4iq^{7}+\cdots\)
1850.2.b.f \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+2iq^{3}-q^{4}+2q^{6}-4iq^{7}+\cdots\)
1850.2.b.g \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+2iq^{3}-q^{4}+2q^{6}-iq^{7}+\cdots\)
1850.2.b.h \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+2iq^{3}-q^{4}+2q^{6}+iq^{8}+\cdots\)
1850.2.b.i \(4\) \(14.772\) \(\Q(i, \sqrt{13})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(\beta _{1}-\beta _{2})q^{3}-q^{4}+(-2+\cdots)q^{6}+\cdots\)
1850.2.b.j \(4\) \(14.772\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}+\beta _{1}q^{3}-q^{4}+\beta _{2}q^{6}-2\beta _{1}q^{7}+\cdots\)
1850.2.b.k \(4\) \(14.772\) \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{3}-q^{4}+(1+\beta _{3})q^{6}+\cdots\)
1850.2.b.l \(4\) \(14.772\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+(\zeta_{12}-\zeta_{12}^{2})q^{3}-q^{4}+\cdots\)
1850.2.b.m \(4\) \(14.772\) \(\Q(i, \sqrt{33})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+2\beta _{2}q^{3}-q^{4}+2q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1850.2.b.n \(6\) \(14.772\) 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+(\beta _{3}-\beta _{5})q^{3}-q^{4}+(-1+\cdots)q^{6}+\cdots\)
1850.2.b.o \(6\) \(14.772\) 6.0.3182656.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{2}-\beta _{3}q^{3}-q^{4}+\beta _{2}q^{6}-\beta _{5}q^{7}+\cdots\)
1850.2.b.p \(6\) \(14.772\) 6.0.37161216.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{2}+\beta _{1}q^{3}-q^{4}+\beta _{2}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1850.2.c.a \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+iq^{7}-q^{8}+3q^{9}-4q^{11}+\cdots\)
1850.2.c.b \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+5iq^{7}-q^{8}+3q^{9}+3q^{11}+\cdots\)
1850.2.c.c \(2\) \(14.772\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-2iq^{7}-q^{8}+3q^{9}+6q^{11}+\cdots\)
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