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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1150.2.a.a \(1\) \(9.183\) \(\Q\) None \(-1\) \(-2\) \(0\) \(-1\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{7}-q^{8}+\cdots\)
1150.2.a.b \(1\) \(9.183\) \(\Q\) None \(-1\) \(0\) \(0\) \(1\) \(-\) \(q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}-3q^{11}+\cdots\)
1150.2.a.c \(1\) \(9.183\) \(\Q\) None \(-1\) \(2\) \(0\) \(1\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}+q^{7}-q^{8}+\cdots\)
1150.2.a.d \(1\) \(9.183\) \(\Q\) None \(-1\) \(3\) \(0\) \(4\) \(-\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}+4q^{7}-q^{8}+\cdots\)
1150.2.a.e \(1\) \(9.183\) \(\Q\) None \(1\) \(-3\) \(0\) \(-4\) \(+\) \(q+q^{2}-3q^{3}+q^{4}-3q^{6}-4q^{7}+q^{8}+\cdots\)
1150.2.a.f \(1\) \(9.183\) \(\Q\) None \(1\) \(-2\) \(0\) \(-1\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}-q^{7}+q^{8}+\cdots\)
1150.2.a.g \(1\) \(9.183\) \(\Q\) None \(1\) \(0\) \(0\) \(-1\) \(+\) \(q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{9}-3q^{11}+\cdots\)
1150.2.a.h \(1\) \(9.183\) \(\Q\) None \(1\) \(0\) \(0\) \(4\) \(-\) \(q+q^{2}+q^{4}+4q^{7}+q^{8}-3q^{9}+2q^{11}+\cdots\)
1150.2.a.i \(1\) \(9.183\) \(\Q\) None \(1\) \(2\) \(0\) \(1\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
1150.2.a.j \(2\) \(9.183\) \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+(-1+\beta )q^{7}+\cdots\)
1150.2.a.k \(2\) \(9.183\) \(\Q(\sqrt{17}) \) None \(-2\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+(-1+\beta )q^{7}+\cdots\)
1150.2.a.l \(2\) \(9.183\) \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(0\) \(3\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+(3-3\beta )q^{7}+\cdots\)
1150.2.a.m \(2\) \(9.183\) \(\Q(\sqrt{13}) \) None \(2\) \(-3\) \(0\) \(-3\) \(+\) \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
1150.2.a.n \(2\) \(9.183\) \(\Q(\sqrt{5}) \) None \(2\) \(-1\) \(0\) \(-3\) \(+\) \(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}+(-3+3\beta )q^{7}+\cdots\)
1150.2.a.o \(2\) \(9.183\) \(\Q(\sqrt{21}) \) None \(2\) \(1\) \(0\) \(-1\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(-1+\beta )q^{7}+\cdots\)
1150.2.a.p \(2\) \(9.183\) \(\Q(\sqrt{17}) \) None \(2\) \(1\) \(0\) \(1\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(1-\beta )q^{7}+\cdots\)
1150.2.a.q \(3\) \(9.183\) 3.3.1101.1 None \(-3\) \(-1\) \(0\) \(-3\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
1150.2.a.r \(4\) \(9.183\) 4.4.13448.1 None \(-4\) \(-3\) \(0\) \(-3\) \(-\) \(q-q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(1+\beta _{3})q^{6}+\cdots\)
1150.2.a.s \(4\) \(9.183\) 4.4.13448.1 None \(4\) \(3\) \(0\) \(3\) \(-\) \(q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+(1+\beta _{2})q^{6}+\cdots\)
1150.2.b.a \(2\) \(9.183\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-4iq^{7}+\cdots\)
1150.2.b.b \(2\) \(9.183\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}-iq^{7}+\cdots\)
1150.2.b.c \(2\) \(9.183\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}+iq^{7}+iq^{8}+3q^{9}+\cdots\)
1150.2.b.d \(2\) \(9.183\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}-4iq^{7}+iq^{8}+3q^{9}+\cdots\)
1150.2.b.e \(2\) \(9.183\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+2iq^{3}-q^{4}+2q^{6}-iq^{7}+\cdots\)
1150.2.b.f \(4\) \(9.183\) \(\Q(i, \sqrt{13})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(\beta _{1}-\beta _{2})q^{3}-q^{4}+(-2+\cdots)q^{6}+\cdots\)
1150.2.b.g \(4\) \(9.183\) \(\Q(i, \sqrt{21})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}+(1-\beta _{3})q^{6}+\cdots\)
1150.2.b.h \(4\) \(9.183\) \(\Q(i, \sqrt{17})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}+(1-\beta _{3})q^{6}+\cdots\)
1150.2.b.i \(4\) \(9.183\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{2}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1150.2.b.j \(6\) \(9.183\) 6.0.77580864.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{3}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1150.2.e.a \(8\) \(9.183\) \(\Q(\zeta_{16})\) None \(0\) \(-16\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+(-2+2\zeta_{16}^{3})q^{3}+\zeta_{16}^{3}q^{4}+\cdots\)
1150.2.e.b \(8\) \(9.183\) 8.0.110166016.2 None \(0\) \(4\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(1+\beta _{5})q^{3}+\beta _{7}q^{4}+(1-\beta _{4}+\cdots)q^{6}+\cdots\)
1150.2.e.c \(8\) \(9.183\) 8.0.110166016.2 None \(0\) \(4\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(1+\beta _{5})q^{3}+\beta _{7}q^{4}+(1-\beta _{4}+\cdots)q^{6}+\cdots\)
1150.2.e.d \(16\) \(9.183\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(\beta _{1}-\beta _{3})q^{3}-\beta _{4}q^{4}+(-1+\cdots)q^{6}+\cdots\)
1150.2.e.e \(16\) \(9.183\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}+(\beta _{10}-\beta _{12})q^{3}-\beta _{9}q^{4}+\cdots\)
1150.2.e.f \(16\) \(9.183\) 16.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{2}+(-\beta _{5}+\beta _{7}+\beta _{11})q^{3}-\beta _{8}q^{4}+\cdots\)
1150.3.c.a \(8\) \(31.335\) 8.0.\(\cdots\).5 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}+(-\beta _{3}-\beta _{4})q^{3}-2q^{4}+(2+\cdots)q^{6}+\cdots\)
1150.3.c.b \(32\) \(31.335\) None \(0\) \(0\) \(0\) \(0\)
1150.3.c.c \(32\) \(31.335\) None \(0\) \(0\) \(0\) \(0\)
1150.3.d.a \(4\) \(31.335\) 4.0.613376.1 None \(0\) \(4\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(1-\beta _{2})q^{3}+2q^{4}+(2-\beta _{2}+\cdots)q^{6}+\cdots\)
1150.3.d.b \(16\) \(31.335\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{2}+\beta _{4}q^{3}+2q^{4}-\beta _{9}q^{6}+(-\beta _{3}+\cdots)q^{7}+\cdots\)
1150.3.d.c \(16\) \(31.335\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+\beta _{5}q^{3}+2q^{4}-\beta _{8}q^{6}+\beta _{1}q^{7}+\cdots\)
1150.3.d.d \(16\) \(31.335\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}-\beta _{5}q^{3}+2q^{4}-\beta _{8}q^{6}+\beta _{1}q^{7}+\cdots\)
1150.3.d.e \(24\) \(31.335\) None \(0\) \(0\) \(0\) \(0\)
1150.4.a.a \(1\) \(67.852\) \(\Q\) None \(-2\) \(-2\) \(0\) \(-21\) \(-\) \(q-2q^{2}-2q^{3}+4q^{4}+4q^{6}-21q^{7}+\cdots\)
1150.4.a.b \(1\) \(67.852\) \(\Q\) None \(-2\) \(-1\) \(0\) \(18\) \(-\) \(q-2q^{2}-q^{3}+4q^{4}+2q^{6}+18q^{7}+\cdots\)
1150.4.a.c \(1\) \(67.852\) \(\Q\) None \(-2\) \(1\) \(0\) \(32\) \(+\) \(q-2q^{2}+q^{3}+4q^{4}-2q^{6}+2^{5}q^{7}+\cdots\)
1150.4.a.d \(1\) \(67.852\) \(\Q\) None \(-2\) \(9\) \(0\) \(-2\) \(-\) \(q-2q^{2}+9q^{3}+4q^{4}-18q^{6}-2q^{7}+\cdots\)
1150.4.a.e \(1\) \(67.852\) \(\Q\) None \(2\) \(-7\) \(0\) \(-20\) \(-\) \(q+2q^{2}-7q^{3}+4q^{4}-14q^{6}-20q^{7}+\cdots\)
1150.4.a.f \(1\) \(67.852\) \(\Q\) None \(2\) \(-4\) \(0\) \(-3\) \(-\) \(q+2q^{2}-4q^{3}+4q^{4}-8q^{6}-3q^{7}+\cdots\)
1150.4.a.g \(1\) \(67.852\) \(\Q\) None \(2\) \(1\) \(0\) \(12\) \(-\) \(q+2q^{2}+q^{3}+4q^{4}+2q^{6}+12q^{7}+\cdots\)
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