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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
430.2.a.a \(1\) \(3.434\) \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
430.2.a.b \(1\) \(3.434\) \(\Q\) None \(-1\) \(0\) \(1\) \(-3\) \(+\) \(q-q^{2}+q^{4}+q^{5}-3q^{7}-q^{8}-3q^{9}+\cdots\)
430.2.a.c \(1\) \(3.434\) \(\Q\) None \(1\) \(-2\) \(-1\) \(-1\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}-q^{7}+\cdots\)
430.2.a.d \(1\) \(3.434\) \(\Q\) None \(1\) \(-2\) \(1\) \(-5\) \(+\) \(q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}-5q^{7}+\cdots\)
430.2.a.e \(2\) \(3.434\) \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(2\) \(2\) \(-\) \(q-q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
430.2.a.f \(2\) \(3.434\) \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(-2\) \(2\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
430.2.a.g \(2\) \(3.434\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(2\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+q^{7}+\cdots\)
430.2.a.h \(3\) \(3.434\) 3.3.316.1 None \(-3\) \(-2\) \(-3\) \(-6\) \(-\) \(q-q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+q^{4}-q^{5}+\cdots\)
430.2.b.a \(6\) \(3.434\) 6.0.350464.1 None \(0\) \(0\) \(2\) \(0\) \(q-\beta _{3}q^{2}+(-\beta _{3}+\beta _{4})q^{3}-q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
430.2.b.b \(16\) \(3.434\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(2\) \(0\) \(q-\beta _{7}q^{2}+(\beta _{1}+\beta _{7})q^{3}-q^{4}-\beta _{5}q^{5}+\cdots\)
430.2.e.a \(2\) \(3.434\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-3\) \(-1\) \(0\) \(q-q^{2}+(-3+3\zeta_{6})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
430.2.e.b \(2\) \(3.434\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-1\) \(-1\) \(-4\) \(q-q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
430.2.e.c \(2\) \(3.434\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(1\) \(-4\) \(q+q^{2}+q^{4}+(1-\zeta_{6})q^{5}-4\zeta_{6}q^{7}+\cdots\)
430.2.e.d \(4\) \(3.434\) \(\Q(\sqrt{-3}, \sqrt{10})\) None \(-4\) \(4\) \(-2\) \(0\) \(q-q^{2}-2\beta _{2}q^{3}+q^{4}+\beta _{2}q^{5}+2\beta _{2}q^{6}+\cdots\)
430.2.e.e \(6\) \(3.434\) 6.0.954288.1 None \(6\) \(1\) \(3\) \(4\) \(q+q^{2}+(-\beta _{4}+\beta _{5})q^{3}+q^{4}+\beta _{3}q^{5}+\cdots\)
430.2.e.f \(6\) \(3.434\) 6.0.27870912.1 None \(6\) \(2\) \(-3\) \(6\) \(q+q^{2}+(-\beta _{1}+\beta _{4})q^{3}+q^{4}-\beta _{4}q^{5}+\cdots\)
430.2.e.g \(10\) \(3.434\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(1\) \(5\) \(6\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{5})q^{5}-\beta _{1}q^{6}+\cdots\)
430.2.g.a \(4\) \(3.434\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{2}-2\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}+(-\zeta_{8}+\cdots)q^{5}+\cdots\)
430.2.g.b \(40\) \(3.434\) None \(0\) \(0\) \(0\) \(0\)
430.2.j.a \(44\) \(3.434\) None \(0\) \(0\) \(-4\) \(0\)
430.2.k.a \(12\) \(3.434\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(-1\) \(-2\) \(4\) \(q+(-1+\beta _{7}+\beta _{8}-\beta _{9}+\beta _{10}-\beta _{11})q^{2}+\cdots\)
430.2.k.b \(18\) \(3.434\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-3\) \(2\) \(3\) \(6\) \(q-\beta _{3}q^{2}+\beta _{5}q^{3}+\beta _{4}q^{4}-\beta _{10}q^{5}+\cdots\)
430.2.k.c \(18\) \(3.434\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(3\) \(5\) \(-3\) \(8\) \(q-\beta _{12}q^{2}+\beta _{1}q^{3}+(-1+\beta _{3}-\beta _{7}+\cdots)q^{4}+\cdots\)
430.2.k.d \(24\) \(3.434\) None \(4\) \(2\) \(4\) \(-2\)
430.2.l.a \(88\) \(3.434\) None \(0\) \(0\) \(0\) \(12\)
430.2.p.a \(132\) \(3.434\) None \(0\) \(0\) \(-4\) \(0\)
430.2.q.a \(36\) \(3.434\) None \(-6\) \(5\) \(3\) \(1\)
430.2.q.b \(48\) \(3.434\) None \(-8\) \(-1\) \(-4\) \(-7\)
430.2.q.c \(48\) \(3.434\) None \(8\) \(-7\) \(4\) \(-3\)
430.2.q.d \(60\) \(3.434\) None \(10\) \(-1\) \(-5\) \(1\)
430.2.r.a \(264\) \(3.434\) None \(0\) \(0\) \(0\) \(0\)
430.2.t.a \(264\) \(3.434\) None \(0\) \(0\) \(4\) \(0\)
430.2.x.a \(528\) \(3.434\) None \(0\) \(0\) \(0\) \(-12\)
430.3.c.a \(32\) \(11.717\) None \(0\) \(0\) \(0\) \(0\)
430.3.d.a \(44\) \(11.717\) None \(0\) \(0\) \(0\) \(0\)
430.3.f.a \(40\) \(11.717\) None \(-40\) \(4\) \(4\) \(16\)
430.3.f.b \(44\) \(11.717\) None \(44\) \(4\) \(4\) \(0\)
430.3.h.a \(88\) \(11.717\) None \(0\) \(0\) \(0\) \(0\)
430.3.i.a \(56\) \(11.717\) None \(0\) \(12\) \(0\) \(36\)
430.3.m.a \(88\) \(11.717\) None \(-88\) \(-2\) \(-4\) \(-6\)
430.3.m.b \(88\) \(11.717\) None \(88\) \(2\) \(-4\) \(18\)
430.3.n.a \(264\) \(11.717\) None \(0\) \(0\) \(0\) \(0\)
430.3.o.a \(192\) \(11.717\) None \(0\) \(0\) \(0\) \(0\)
430.3.s.a \(264\) \(11.717\) None \(-44\) \(10\) \(-4\) \(0\)
430.3.s.b \(264\) \(11.717\) None \(44\) \(-10\) \(-4\) \(-24\)
430.3.u.a \(336\) \(11.717\) None \(0\) \(-12\) \(0\) \(-36\)
430.3.v.a \(528\) \(11.717\) None \(0\) \(0\) \(0\) \(0\)
430.3.w.a \(528\) \(11.717\) None \(-88\) \(-16\) \(4\) \(-18\)
430.3.w.b \(528\) \(11.717\) None \(88\) \(16\) \(4\) \(6\)
430.4.a.a \(1\) \(25.371\) \(\Q\) None \(-2\) \(0\) \(5\) \(22\) \(-\) \(q-2q^{2}+4q^{4}+5q^{5}+22q^{7}-8q^{8}+\cdots\)
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