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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4020.2.a.a \(1\) \(32.100\) \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
4020.2.a.b \(4\) \(32.100\) 4.4.9301.1 None \(0\) \(-4\) \(-4\) \(-1\) \(+\) \(q-q^{3}-q^{5}+(\beta _{1}+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4020.2.a.c \(4\) \(32.100\) 4.4.98117.1 None \(0\) \(4\) \(-4\) \(1\) \(+\) \(q+q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots\)
4020.2.a.d \(4\) \(32.100\) \(\Q(\zeta_{15})^+\) None \(0\) \(4\) \(4\) \(-3\) \(+\) \(q+q^{3}+q^{5}+(-\beta _{2}+\beta _{3})q^{7}+q^{9}+\cdots\)
4020.2.a.e \(5\) \(32.100\) 5.5.1257629.1 None \(0\) \(-5\) \(5\) \(-3\) \(+\) \(q-q^{3}+q^{5}+(-1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
4020.2.a.f \(6\) \(32.100\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(-6\) \(6\) \(1\) \(-\) \(q-q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{5})q^{11}+\cdots\)
4020.2.a.g \(6\) \(32.100\) 6.6.195727752.1 None \(0\) \(6\) \(-6\) \(3\) \(-\) \(q+q^{3}-q^{5}+(\beta _{1}+\beta _{4})q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
4020.2.a.h \(7\) \(32.100\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-7\) \(-7\) \(3\) \(-\) \(q-q^{3}-q^{5}+\beta _{1}q^{7}+q^{9}+(-1+\beta _{2}+\cdots)q^{11}+\cdots\)
4020.2.a.i \(7\) \(32.100\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(7\) \(7\) \(1\) \(-\) \(q+q^{3}+q^{5}-\beta _{4}q^{7}+q^{9}+(\beta _{3}+\beta _{6})q^{11}+\cdots\)
4020.2.f.a \(46\) \(32.100\) None \(0\) \(0\) \(-46\) \(0\)
4020.2.f.b \(46\) \(32.100\) None \(0\) \(0\) \(46\) \(0\)
4020.2.g.a \(2\) \(32.100\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{3}+(1-2i)q^{5}-q^{9}+2iq^{13}+\cdots\)
4020.2.g.b \(24\) \(32.100\) None \(0\) \(0\) \(-4\) \(0\)
4020.2.g.c \(38\) \(32.100\) None \(0\) \(0\) \(-2\) \(0\)
4020.2.q.a \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(-3\) \(q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}-5\zeta_{6}q^{11}+\cdots\)
4020.2.q.b \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(-3\) \(q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots\)
4020.2.q.c \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(1\) \(q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.d \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(1\) \(q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots\)
4020.2.q.e \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(-1\) \(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.f \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(-1\) \(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots\)
4020.2.q.g \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(-1\) \(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots\)
4020.2.q.h \(2\) \(32.100\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(-2\) \(1\) \(q+q^{3}-q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.i \(4\) \(32.100\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(0\) \(4\) \(-4\) \(-1\) \(q+q^{3}-q^{5}+(-\beta _{1}+\beta _{3})q^{7}+q^{9}+\cdots\)
4020.2.q.j \(12\) \(32.100\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(12\) \(-12\) \(2\) \(q+q^{3}-q^{5}+(\beta _{1}-\beta _{6}-\beta _{9})q^{7}+q^{9}+\cdots\)
4020.2.q.k \(14\) \(32.100\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(0\) \(-14\) \(14\) \(3\) \(q-q^{3}+q^{5}-\beta _{6}q^{7}+q^{9}+(1-\beta _{5}+\cdots)q^{11}+\cdots\)
4020.2.q.l \(22\) \(32.100\) None \(0\) \(-22\) \(-22\) \(1\)
4020.2.q.m \(24\) \(32.100\) None \(0\) \(24\) \(24\) \(-3\)
4020.3.c.a \(92\) \(109.537\) None \(0\) \(0\) \(0\) \(0\)


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