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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1386.2.a.a \(1\) \(11.067\) \(\Q\) None \(-1\) \(0\) \(-2\) \(-1\) \(-\) \(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots\)
1386.2.a.b \(1\) \(11.067\) \(\Q\) None \(-1\) \(0\) \(-2\) \(-1\) \(+\) \(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots\)
1386.2.a.c \(1\) \(11.067\) \(\Q\) None \(-1\) \(0\) \(0\) \(1\) \(-\) \(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}+2q^{13}+\cdots\)
1386.2.a.d \(1\) \(11.067\) \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) \(+\) \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
1386.2.a.e \(1\) \(11.067\) \(\Q\) None \(-1\) \(0\) \(4\) \(1\) \(-\) \(q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots\)
1386.2.a.f \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(-2\) \(-1\) \(+\) \(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
1386.2.a.g \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(-2\) \(-1\) \(+\) \(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
1386.2.a.h \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(-2\) \(-1\) \(+\) \(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
1386.2.a.i \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(0\) \(-1\) \(-\) \(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}-2q^{13}+\cdots\)
1386.2.a.j \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(0\) \(-1\) \(-\) \(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}+6q^{13}+\cdots\)
1386.2.a.k \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(2\) \(1\) \(-\) \(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
1386.2.a.l \(1\) \(11.067\) \(\Q\) None \(1\) \(0\) \(4\) \(-1\) \(-\) \(q+q^{2}+q^{4}+4q^{5}-q^{7}+q^{8}+4q^{10}+\cdots\)
1386.2.a.m \(2\) \(11.067\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-2\) \(2\) \(+\) \(q-q^{2}+q^{4}+(-1-\beta )q^{5}+q^{7}-q^{8}+\cdots\)
1386.2.a.n \(2\) \(11.067\) \(\Q(\sqrt{10}) \) None \(-2\) \(0\) \(0\) \(-2\) \(-\) \(q-q^{2}+q^{4}+\beta q^{5}-q^{7}-q^{8}-\beta q^{10}+\cdots\)
1386.2.a.o \(2\) \(11.067\) \(\Q(\sqrt{10}) \) None \(2\) \(0\) \(0\) \(-2\) \(-\) \(q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots\)
1386.2.a.p \(2\) \(11.067\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(0\) \(2\) \(-\) \(q+q^{2}+q^{4}+\beta q^{5}+q^{7}+q^{8}+\beta q^{10}+\cdots\)
1386.2.a.q \(3\) \(11.067\) 3.3.1304.1 None \(-3\) \(0\) \(-2\) \(3\) \(-\) \(q-q^{2}+q^{4}+(-1-\beta _{2})q^{5}+q^{7}-q^{8}+\cdots\)
1386.2.a.r \(3\) \(11.067\) 3.3.1304.1 None \(3\) \(0\) \(2\) \(3\) \(-\) \(q+q^{2}+q^{4}+(1+\beta _{2})q^{5}+q^{7}+q^{8}+\cdots\)
1386.2.c.a \(12\) \(11.067\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(-12\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+(\beta _{1}-\beta _{5})q^{5}-\beta _{1}q^{7}+\cdots\)
1386.2.c.b \(12\) \(11.067\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(12\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+(\beta _{1}-\beta _{5})q^{5}+\beta _{1}q^{7}+\cdots\)
1386.2.e.a \(8\) \(11.067\) 8.0.6679465984.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1386.2.e.b \(8\) \(11.067\) 8.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
1386.2.e.c \(8\) \(11.067\) 8.0.157351936.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}-q^{4}-\beta _{5}q^{5}+\beta _{1}q^{7}-\beta _{2}q^{8}+\cdots\)
1386.2.e.d \(8\) \(11.067\) 8.0.40960000.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{4}q^{5}+(\beta _{2}-\beta _{7})q^{7}+\cdots\)
1386.2.e.e \(8\) \(11.067\) 8.0.6679465984.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(\beta _{1}+\beta _{4}+\cdots)q^{7}+\cdots\)
1386.2.g.a \(16\) \(11.067\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(-8\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{4}q^{5}+\beta _{7}q^{7}-\beta _{1}q^{8}+\cdots\)
1386.2.g.b \(16\) \(11.067\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{2}-q^{4}+\beta _{1}q^{5}-\beta _{10}q^{7}-\beta _{5}q^{8}+\cdots\)
1386.2.k.a \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-4\) \(-5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-4\zeta_{6}q^{5}+\cdots\)
1386.2.k.b \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-3\) \(-1\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-3\zeta_{6}q^{5}+\cdots\)
1386.2.k.c \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-3\) \(5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-3\zeta_{6}q^{5}+\cdots\)
1386.2.k.d \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(-4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots\)
1386.2.k.e \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-2+3\zeta_{6})q^{7}+\cdots\)
1386.2.k.f \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(3-2\zeta_{6})q^{7}+\cdots\)
1386.2.k.g \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
1386.2.k.h \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots\)
1386.2.k.i \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(2\) \(4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots\)
1386.2.k.j \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(3\) \(-5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots\)
1386.2.k.k \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-2\) \(4\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-2\zeta_{6}q^{5}+\cdots\)
1386.2.k.l \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-2\) \(4\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-2\zeta_{6}q^{5}+\cdots\)
1386.2.k.m \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-5\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-2+\cdots)q^{7}+\cdots\)
1386.2.k.n \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(5\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(2+\zeta_{6})q^{7}+\cdots\)
1386.2.k.o \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(2\) \(-5\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots\)
1386.2.k.p \(2\) \(11.067\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(3\) \(-1\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots\)
1386.2.k.q \(4\) \(11.067\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(-2\) \(0\) \(-2\) \(-2\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
1386.2.k.r \(4\) \(11.067\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(-2\) \(0\) \(0\) \(0\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+\beta _{1}q^{5}-\beta _{1}q^{7}+\cdots\)
1386.2.k.s \(4\) \(11.067\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(-2\) \(0\) \(2\) \(0\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1386.2.k.t \(4\) \(11.067\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(2\) \(0\) \(-4\) \(-2\) \(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-\beta _{1}+2\beta _{2}+\cdots)q^{5}+\cdots\)
1386.2.k.u \(4\) \(11.067\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(2\) \(0\) \(2\) \(-2\) \(q+(1+\beta _{2})q^{2}+\beta _{2}q^{4}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1386.2.k.v \(6\) \(11.067\) 6.0.21870000.1 None \(3\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
1386.2.k.w \(6\) \(11.067\) 6.0.1156923.1 None \(3\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+\beta _{4}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
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