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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1666.2.a.a \(1\) \(13.303\) \(\Q\) None \(-1\) \(-3\) \(2\) \(0\) \(+\) \(q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-q^{8}+\cdots\)
1666.2.a.b \(1\) \(13.303\) \(\Q\) None \(-1\) \(-2\) \(-4\) \(0\) \(+\) \(q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-q^{8}+\cdots\)
1666.2.a.c \(1\) \(13.303\) \(\Q\) None \(-1\) \(-2\) \(3\) \(0\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}-q^{8}+\cdots\)
1666.2.a.d \(1\) \(13.303\) \(\Q\) None \(-1\) \(-1\) \(-2\) \(0\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots\)
1666.2.a.e \(1\) \(13.303\) \(\Q\) None \(-1\) \(0\) \(2\) \(0\) \(+\) \(q-q^{2}+q^{4}+2q^{5}-q^{8}-3q^{9}-2q^{10}+\cdots\)
1666.2.a.f \(1\) \(13.303\) \(\Q\) None \(-1\) \(1\) \(2\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
1666.2.a.g \(1\) \(13.303\) \(\Q\) None \(-1\) \(2\) \(-3\) \(0\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-3q^{5}-2q^{6}-q^{8}+\cdots\)
1666.2.a.h \(1\) \(13.303\) \(\Q\) None \(-1\) \(3\) \(-2\) \(0\) \(+\) \(q-q^{2}+3q^{3}+q^{4}-2q^{5}-3q^{6}-q^{8}+\cdots\)
1666.2.a.i \(1\) \(13.303\) \(\Q\) None \(1\) \(-2\) \(0\) \(0\) \(-\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
1666.2.a.j \(1\) \(13.303\) \(\Q\) None \(1\) \(0\) \(-2\) \(0\) \(+\) \(q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\cdots\)
1666.2.a.k \(1\) \(13.303\) \(\Q\) None \(1\) \(0\) \(-1\) \(0\) \(+\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-3q^{9}-q^{10}+\cdots\)
1666.2.a.l \(1\) \(13.303\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
1666.2.a.m \(1\) \(13.303\) \(\Q\) None \(1\) \(2\) \(0\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
1666.2.a.n \(1\) \(13.303\) \(\Q\) None \(1\) \(2\) \(4\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{8}+\cdots\)
1666.2.a.o \(2\) \(13.303\) \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(-2\) \(0\) \(-\) \(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
1666.2.a.p \(2\) \(13.303\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-4\) \(0\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}+(-2+\beta )q^{5}-\beta q^{6}+\cdots\)
1666.2.a.q \(2\) \(13.303\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(4\) \(0\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}+(2+\beta )q^{5}-\beta q^{6}+\cdots\)
1666.2.a.r \(2\) \(13.303\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(0\) \(+\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
1666.2.a.s \(2\) \(13.303\) \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(2\) \(0\) \(-\) \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
1666.2.a.t \(3\) \(13.303\) 3.3.404.1 None \(-3\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots\)
1666.2.a.u \(3\) \(13.303\) 3.3.404.1 None \(-3\) \(0\) \(1\) \(0\) \(-\) \(q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+\cdots\)
1666.2.a.v \(4\) \(13.303\) 4.4.4352.1 None \(-4\) \(0\) \(-4\) \(0\) \(+\) \(q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots\)
1666.2.a.w \(4\) \(13.303\) 4.4.4352.1 None \(-4\) \(0\) \(4\) \(0\) \(-\) \(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
1666.2.a.x \(4\) \(13.303\) 4.4.4352.1 None \(4\) \(-4\) \(-8\) \(0\) \(+\) \(q+q^{2}+(-1+\beta _{2}-\beta _{3})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
1666.2.a.y \(4\) \(13.303\) 4.4.4352.1 None \(4\) \(4\) \(8\) \(0\) \(-\) \(q+q^{2}+(1-\beta _{2}+\beta _{3})q^{3}+q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
1666.2.a.z \(5\) \(13.303\) 5.5.23949216.1 None \(5\) \(0\) \(-1\) \(0\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
1666.2.a.ba \(5\) \(13.303\) 5.5.23949216.1 None \(5\) \(0\) \(1\) \(0\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
1666.2.b.a \(2\) \(13.303\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+3iq^{3}+q^{4}-3iq^{6}-q^{8}+\cdots\)
1666.2.b.b \(2\) \(13.303\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+3iq^{3}+q^{4}-3iq^{6}-q^{8}+\cdots\)
1666.2.b.c \(2\) \(13.303\) \(\Q(\sqrt{-2}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-q^{8}+\cdots\)
1666.2.b.d \(2\) \(13.303\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+3q^{9}-2q^{13}+q^{16}+\cdots\)
1666.2.b.e \(2\) \(13.303\) \(\Q(\sqrt{-2}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
1666.2.b.f \(2\) \(13.303\) \(\Q(\sqrt{-2}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{8}+\cdots\)
1666.2.b.g \(4\) \(13.303\) \(\Q(\sqrt{-2}, \sqrt{15})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}+\beta _{2}q^{6}+\cdots\)
1666.2.b.h \(4\) \(13.303\) \(\Q(\sqrt{-2}, \sqrt{15})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{1}q^{6}+\cdots\)
1666.2.b.i \(4\) \(13.303\) \(\Q(\zeta_{8})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}+q^{4}+(\zeta_{8}+\cdots)q^{6}+\cdots\)
1666.2.b.j \(4\) \(13.303\) \(\Q(\sqrt{-2}, \sqrt{15})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
1666.2.b.k \(6\) \(13.303\) 6.0.84345856.2 None \(6\) \(0\) \(0\) \(0\) \(q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{5})q^{5}+\cdots\)
1666.2.b.l \(6\) \(13.303\) 6.0.84345856.2 None \(6\) \(0\) \(0\) \(0\) \(q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}-\beta _{5})q^{5}+\cdots\)
1666.2.b.m \(6\) \(13.303\) 6.0.350464.1 None \(6\) \(0\) \(0\) \(0\) \(q+q^{2}+\beta _{2}q^{3}+q^{4}+(\beta _{2}-\beta _{3}+\beta _{5})q^{5}+\cdots\)
1666.2.b.n \(8\) \(13.303\) 8.0.\(\cdots\).5 None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{3}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)
1666.2.b.o \(8\) \(13.303\) 8.0.\(\cdots\).3 None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{6}q^{6}+\cdots\)
1666.4.a.a \(1\) \(98.297\) \(\Q\) None \(-2\) \(2\) \(-16\) \(0\) \(+\) \(q-2q^{2}+2q^{3}+4q^{4}-2^{4}q^{5}-4q^{6}+\cdots\)
1666.4.a.b \(1\) \(98.297\) \(\Q\) None \(-2\) \(2\) \(18\) \(0\) \(-\) \(q-2q^{2}+2q^{3}+4q^{4}+18q^{5}-4q^{6}+\cdots\)
1666.4.a.c \(2\) \(98.297\) \(\Q(\sqrt{93}) \) None \(-4\) \(5\) \(-9\) \(0\) \(-\) \(q-2q^{2}+(3-\beta )q^{3}+4q^{4}+(-4-\beta )q^{5}+\cdots\)
1666.4.a.d \(2\) \(98.297\) \(\Q(\sqrt{13}) \) None \(4\) \(-6\) \(4\) \(0\) \(+\) \(q+2q^{2}+(-3-\beta )q^{3}+4q^{4}+(2+4\beta )q^{5}+\cdots\)
1666.4.a.e \(2\) \(98.297\) \(\Q(\sqrt{69}) \) None \(4\) \(11\) \(7\) \(0\) \(+\) \(q+2q^{2}+(6-\beta )q^{3}+4q^{4}+(3+\beta )q^{5}+\cdots\)
1666.4.a.f \(3\) \(98.297\) 3.3.48173.1 None \(-6\) \(-1\) \(5\) \(0\) \(+\) \(q-2q^{2}-\beta _{1}q^{3}+4q^{4}+(2-2\beta _{1}-\beta _{2})q^{5}+\cdots\)
1666.4.a.g \(3\) \(98.297\) 3.3.69061.1 None \(-6\) \(5\) \(21\) \(0\) \(+\) \(q-2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(7+\beta _{2})q^{5}+\cdots\)
1666.4.a.h \(3\) \(98.297\) 3.3.55029.1 None \(6\) \(-7\) \(-19\) \(0\) \(-\) \(q+2q^{2}+(-2-\beta _{1})q^{3}+4q^{4}+(-7+\cdots)q^{5}+\cdots\)
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