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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
145.1.f.a \(2\) \(0.072\) \(\Q(\sqrt{-1}) \) None \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{4}-iq^{5}+iq^{9}+(-1-i)q^{11}+\cdots\)
145.1.h.a \(2\) \(0.072\) \(\Q(\sqrt{-1}) \) None \(\Q(\sqrt{29}) \) \(0\) \(0\) \(0\) \(-2\) \(q-iq^{4}-iq^{5}+(-1+i)q^{7}+iq^{9}+\cdots\)
145.2.a.a \(1\) \(1.158\) \(\Q\) None None \(-1\) \(0\) \(-1\) \(-2\) \(+\) \(q-q^{2}-q^{4}-q^{5}-2q^{7}+3q^{8}-3q^{9}+\cdots\)
145.2.a.b \(2\) \(1.158\) \(\Q(\sqrt{2}) \) None None \(-2\) \(-4\) \(2\) \(-4\) \(+\) \(q+(-1+\beta )q^{2}-2q^{3}+(1-2\beta )q^{4}+\cdots\)
145.2.a.c \(3\) \(1.158\) 3.3.148.1 None None \(1\) \(2\) \(3\) \(4\) \(-\) \(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
145.2.a.d \(3\) \(1.158\) 3.3.148.1 None None \(3\) \(-2\) \(-3\) \(-2\) \(-\) \(q+(1+\beta _{2})q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
145.2.b.a \(4\) \(1.158\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(-3\) \(0\) \(q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{3})q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots\)
145.2.b.b \(4\) \(1.158\) \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{3})q^{3}+\beta _{2}q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
145.2.b.c \(6\) \(1.158\) 6.0.84345856.2 None None \(0\) \(0\) \(3\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{5})q^{3}+(-3+\beta _{3}+\cdots)q^{4}+\cdots\)
145.2.c.a \(4\) \(1.158\) \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(-4\) \(-4\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{3})q^{3}+\beta _{2}q^{4}-q^{5}+\cdots\)
145.2.c.b \(6\) \(1.158\) 6.0.16516096.1 None None \(0\) \(0\) \(6\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{5})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
145.2.d.a \(4\) \(1.158\) \(\Q(\sqrt{-3}, \sqrt{17})\) None None \(-4\) \(2\) \(3\) \(0\) \(q-q^{2}-\beta _{2}q^{3}-q^{4}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
145.2.d.b \(4\) \(1.158\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{3}q^{2}+3q^{4}+(-1-\beta _{1})q^{5}+\beta _{1}q^{7}+\cdots\)
145.2.d.c \(4\) \(1.158\) \(\Q(\sqrt{-3}, \sqrt{17})\) None None \(4\) \(-2\) \(3\) \(0\) \(q+q^{2}+(-1+\beta _{2})q^{3}-q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
145.2.e.a \(26\) \(1.158\) None None \(0\) \(-4\) \(0\) \(-4\)
145.2.j.a \(26\) \(1.158\) None None \(-6\) \(0\) \(0\) \(-4\)
145.2.k.a \(24\) \(1.158\) None None \(-2\) \(2\) \(4\) \(4\)
145.2.k.b \(36\) \(1.158\) None None \(-2\) \(-2\) \(-6\) \(-8\)
145.2.l.a \(72\) \(1.158\) None None \(0\) \(0\) \(-9\) \(0\)
145.2.m.a \(24\) \(1.158\) None None \(0\) \(0\) \(4\) \(4\)
145.2.m.b \(36\) \(1.158\) None None \(0\) \(0\) \(-6\) \(0\)
145.2.n.a \(84\) \(1.158\) None None \(0\) \(0\) \(-7\) \(0\)
145.2.o.a \(156\) \(1.158\) None None \(-8\) \(-14\) \(-14\) \(-10\)
145.2.t.a \(156\) \(1.158\) None None \(-14\) \(-10\) \(-14\) \(-10\)
145.3.f.a \(56\) \(3.951\) None None \(0\) \(0\) \(0\) \(0\)
145.3.g.a \(40\) \(3.951\) None None \(-4\) \(0\) \(0\) \(0\)
145.3.h.a \(56\) \(3.951\) None None \(0\) \(0\) \(-12\) \(-20\)
145.3.i.a \(56\) \(3.951\) None None \(0\) \(-4\) \(4\) \(12\)
145.3.p.a \(336\) \(3.951\) None None \(-14\) \(-10\) \(-18\) \(-26\)
145.3.q.a \(336\) \(3.951\) None None \(-14\) \(-14\) \(-2\) \(6\)
145.3.r.a \(240\) \(3.951\) None None \(4\) \(0\) \(0\) \(0\)
145.3.s.a \(336\) \(3.951\) None None \(0\) \(0\) \(-14\) \(0\)
145.4.a.a \(1\) \(8.555\) \(\Q\) None None \(1\) \(-8\) \(-5\) \(-14\) \(+\) \(q+q^{2}-8q^{3}-7q^{4}-5q^{5}-8q^{6}+\cdots\)
145.4.a.b \(6\) \(8.555\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(-7\) \(-13\) \(30\) \(-79\) \(-\) \(q+(-1-\beta _{1})q^{2}+(-2+\beta _{1}+\beta _{4})q^{3}+\cdots\)
145.4.a.c \(6\) \(8.555\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(-1\) \(-1\) \(-30\) \(3\) \(-\) \(q-\beta _{1}q^{2}+(-\beta _{3}-\beta _{4})q^{3}+(4+2\beta _{1}+\cdots)q^{4}+\cdots\)
145.4.a.d \(7\) \(8.555\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(6\) \(1\) \(-35\) \(17\) \(+\) \(q+(1-\beta _{4})q^{2}-\beta _{3}q^{3}+(8-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
145.4.a.e \(8\) \(8.555\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(5\) \(17\) \(40\) \(33\) \(+\) \(q+(1-\beta _{1})q^{2}+(2-\beta _{3})q^{3}+(5+\beta _{2}+\cdots)q^{4}+\cdots\)
145.4.b.a \(18\) \(8.555\) \(\mathbb{Q}[x]/(x^{18} + \cdots)\) None None \(0\) \(0\) \(-8\) \(0\) \(q+\beta _{1}q^{2}-\beta _{13}q^{3}+(-2+\beta _{2})q^{4}+\cdots\)
145.4.b.b \(24\) \(8.555\) None None \(0\) \(0\) \(-8\) \(0\)
145.4.c.a \(14\) \(8.555\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(0\) \(70\) \(-10\) \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(-3+\beta _{2})q^{4}+5q^{5}+\cdots\)
145.4.c.b \(16\) \(8.555\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(-80\) \(38\) \(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(-4+\beta _{2})q^{4}-5q^{5}+\cdots\)
145.4.d.a \(44\) \(8.555\) None None \(0\) \(0\) \(6\) \(0\)
145.4.e.a \(86\) \(8.555\) None None \(0\) \(-4\) \(0\) \(-4\)
145.4.j.a \(86\) \(8.555\) None None \(-8\) \(0\) \(0\) \(-4\)
145.4.k.a \(84\) \(8.555\) None None \(2\) \(-4\) \(-70\) \(46\)
145.4.k.b \(96\) \(8.555\) None None \(2\) \(4\) \(80\) \(-18\)
145.4.l.a \(264\) \(8.555\) None None \(0\) \(0\) \(-13\) \(0\)
145.4.m.a \(84\) \(8.555\) None None \(0\) \(0\) \(-70\) \(10\)
145.4.m.b \(96\) \(8.555\) None None \(0\) \(0\) \(80\) \(-38\)
145.4.n.a \(252\) \(8.555\) None None \(0\) \(0\) \(9\) \(0\)
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