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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
931.1.b.a \(1\) \(0.465\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+2q^{17}+\cdots\)
931.1.b.b \(1\) \(0.465\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(0\) \(q+q^{4}+q^{5}+q^{9}-q^{11}+q^{16}-2q^{17}+\cdots\)
931.1.k.a \(4\) \(0.465\) \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+\zeta_{12}q^{6}+\cdots\)
931.1.r.a \(2\) \(0.465\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) \(q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots\)
931.1.t.a \(4\) \(0.465\) \(\Q(\zeta_{12})\) None None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{3}q^{5}+\zeta_{12}^{5}q^{6}+\cdots\)
931.1.ba.a \(6\) \(0.465\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-2\) \(-1\) \(q-\zeta_{14}^{5}q^{4}+(\zeta_{14}^{2}+\zeta_{14}^{6})q^{5}+\zeta_{14}^{4}q^{7}+\cdots\)
931.1.bq.a \(12\) \(0.465\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(1\) \(q-\zeta_{42}^{17}q^{4}+(-\zeta_{42}^{5}+\zeta_{42}^{18})q^{5}+\cdots\)
931.2.a.a \(1\) \(7.434\) \(\Q\) None None \(0\) \(2\) \(-3\) \(0\) \(-\) \(q+2q^{3}-2q^{4}-3q^{5}+q^{9}+3q^{11}+\cdots\)
931.2.a.b \(1\) \(7.434\) \(\Q\) None None \(2\) \(-2\) \(-3\) \(0\) \(-\) \(q+2q^{2}-2q^{3}+2q^{4}-3q^{5}-4q^{6}+\cdots\)
931.2.a.c \(1\) \(7.434\) \(\Q\) None None \(2\) \(2\) \(3\) \(0\) \(-\) \(q+2q^{2}+2q^{3}+2q^{4}+3q^{5}+4q^{6}+\cdots\)
931.2.a.d \(2\) \(7.434\) \(\Q(\sqrt{5}) \) None None \(-3\) \(3\) \(0\) \(0\) \(+\) \(q+(-1-\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+\cdots\)
931.2.a.e \(2\) \(7.434\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(0\) \(+\) \(q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
931.2.a.f \(2\) \(7.434\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(2\) \(0\) \(+\) \(q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
931.2.a.g \(2\) \(7.434\) \(\Q(\sqrt{13}) \) None None \(-1\) \(3\) \(6\) \(0\) \(-\) \(q-\beta q^{2}+(2-\beta )q^{3}+(1+\beta )q^{4}+3q^{5}+\cdots\)
931.2.a.h \(2\) \(7.434\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta q^{2}-\beta q^{3}+2\beta q^{5}-2q^{6}-2\beta q^{8}+\cdots\)
931.2.a.i \(2\) \(7.434\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta q^{2}+\beta q^{3}-2\beta q^{5}+2q^{6}-2\beta q^{8}+\cdots\)
931.2.a.j \(2\) \(7.434\) \(\Q(\sqrt{5}) \) None None \(1\) \(-3\) \(-2\) \(0\) \(+\) \(q+\beta q^{2}+(-2+\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
931.2.a.k \(3\) \(7.434\) 3.3.229.1 None None \(2\) \(-3\) \(2\) \(0\) \(-\) \(q+(1+\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
931.2.a.l \(4\) \(7.434\) 4.4.5744.1 None None \(0\) \(-2\) \(-8\) \(0\) \(+\) \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
931.2.a.m \(4\) \(7.434\) 4.4.5744.1 None None \(0\) \(2\) \(8\) \(0\) \(-\) \(q+\beta _{1}q^{2}+\beta _{2}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
931.2.a.n \(7\) \(7.434\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(2\) \(-2\) \(-2\) \(0\) \(-\) \(q+\beta _{3}q^{2}-\beta _{2}q^{3}+(1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
931.2.a.o \(7\) \(7.434\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(2\) \(2\) \(2\) \(0\) \(-\) \(q+\beta _{3}q^{2}+\beta _{2}q^{3}+(1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
931.2.a.p \(10\) \(7.434\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-2\) \(-4\) \(-16\) \(0\) \(+\) \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
931.2.a.q \(10\) \(7.434\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-2\) \(4\) \(16\) \(0\) \(-\) \(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{9})q^{5}+\cdots\)
931.2.c.a \(4\) \(7.434\) \(\Q(\zeta_{12})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1-\zeta_{12}^{3})q^{3}+\cdots\)
931.2.c.b \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2q^{4}+(\beta _{1}+\beta _{3})q^{5}-3q^{9}+(-3+\cdots)q^{11}+\cdots\)
931.2.c.c \(4\) \(7.434\) \(\Q(\zeta_{12})\) None None \(0\) \(4\) \(0\) \(0\) \(q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(1+\zeta_{12}^{3})q^{3}+\cdots\)
931.2.c.d \(6\) \(7.434\) 6.0.6967728.1 None None \(0\) \(-4\) \(0\) \(0\) \(q-\beta _{3}q^{2}+(-1-\beta _{1})q^{3}-q^{4}+\beta _{4}q^{5}+\cdots\)
931.2.c.e \(6\) \(7.434\) 6.0.6967728.1 None None \(0\) \(4\) \(0\) \(0\) \(q-\beta _{3}q^{2}+(1+\beta _{1})q^{3}-q^{4}-\beta _{4}q^{5}+\cdots\)
931.2.c.f \(40\) \(7.434\) None None \(0\) \(0\) \(0\) \(0\)
931.2.e.a \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(-1\) \(0\) \(2\) \(0\) \(q-\beta _{1}q^{2}+(-1+2\beta _{1}-\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
931.2.e.b \(6\) \(7.434\) 6.0.309123.1 None None \(-2\) \(1\) \(-3\) \(0\) \(q+(-\beta _{1}-\beta _{4}+\beta _{5})q^{2}+(-\beta _{1}+\beta _{5})q^{3}+\cdots\)
931.2.e.c \(10\) \(7.434\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(1\) \(-3\) \(1\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{6}-\beta _{7})q^{3}+(-1+\beta _{6}+\cdots)q^{4}+\cdots\)
931.2.e.d \(20\) \(7.434\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(-2\) \(0\) \(0\) \(0\) \(q+(\beta _{5}-\beta _{8})q^{2}+\beta _{3}q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots\)
931.2.e.e \(24\) \(7.434\) None None \(1\) \(-3\) \(0\) \(0\)
931.2.e.f \(24\) \(7.434\) None None \(1\) \(3\) \(0\) \(0\)
931.2.e.g \(40\) \(7.434\) None None \(4\) \(0\) \(0\) \(0\)
931.2.f.a \(2\) \(7.434\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(2\) \(3\) \(0\) \(q-2\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots\)
931.2.f.b \(2\) \(7.434\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(3\) \(0\) \(q+(-2+2\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots\)
931.2.f.c \(2\) \(7.434\) \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(-3\) \(0\) \(q+(2-2\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}-3\zeta_{6}q^{5}+\cdots\)
931.2.f.d \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(-1\) \(-3\) \(-2\) \(0\) \(q-\beta _{1}q^{2}+(-\beta _{1}-\beta _{2}+2\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
931.2.f.e \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(-1\) \(3\) \(2\) \(0\) \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2}-2\beta _{3})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
931.2.f.f \(4\) \(7.434\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+2\beta _{1}q^{5}-2q^{6}+\cdots\)
931.2.f.g \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(1\) \(-3\) \(-6\) \(0\) \(q+\beta _{1}q^{2}+(1-\beta _{1}+2\beta _{2}-\beta _{3})q^{3}+\cdots\)
931.2.f.h \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(1\) \(3\) \(6\) \(0\) \(q+\beta _{1}q^{2}+(-1+\beta _{1}-2\beta _{2}+\beta _{3})q^{3}+\cdots\)
931.2.f.i \(4\) \(7.434\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(2\) \(0\) \(2\) \(0\) \(q+(1+\beta _{1}+\beta _{2})q^{2}+(-\beta _{1}-\beta _{3})q^{3}+\cdots\)
931.2.f.j \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(3\) \(-3\) \(0\) \(0\) \(q+(1+\beta _{1}+\beta _{3})q^{2}+(\beta _{1}+\beta _{2}+\beta _{3})q^{3}+\cdots\)
931.2.f.k \(4\) \(7.434\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(3\) \(3\) \(0\) \(0\) \(q+(1+\beta _{1}+\beta _{3})q^{2}+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots\)
931.2.f.l \(6\) \(7.434\) 6.0.1415907.1 None None \(-2\) \(-3\) \(2\) \(0\) \(q+(\beta _{4}+\beta _{5})q^{2}+(-1-\beta _{1}-\beta _{4})q^{3}+\cdots\)
931.2.f.m \(6\) \(7.434\) 6.0.1415907.1 None None \(-2\) \(3\) \(-2\) \(0\) \(q+(\beta _{4}+\beta _{5})q^{2}+(1+\beta _{1}+\beta _{4})q^{3}+(-2+\cdots)q^{4}+\cdots\)
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