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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2013.1.bm.a \(4\) \(1.005\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-183}) \) None \(-3\) \(-1\) \(0\) \(0\) \(q+(-1+\zeta_{10})q^{2}+\zeta_{10}^{4}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots\)
2013.1.bm.b \(4\) \(1.005\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-183}) \) None \(3\) \(-1\) \(0\) \(0\) \(q+(1-\zeta_{10})q^{2}+\zeta_{10}^{4}q^{3}+(1-\zeta_{10}+\cdots)q^{4}+\cdots\)
2013.1.bm.c \(8\) \(1.005\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-183}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(\zeta_{20}^{5}+\zeta_{20}^{7})q^{2}+\zeta_{20}^{8}q^{3}+(-1+\cdots)q^{4}+\cdots\)
2013.1.bm.d \(16\) \(1.005\) \(\Q(\zeta_{40})\) \(\Q(\sqrt{-183}) \) None \(0\) \(4\) \(0\) \(0\) \(q+(\zeta_{40}^{9}+\zeta_{40}^{15})q^{2}-\zeta_{40}^{16}q^{3}+\cdots\)
2013.2.a.a \(11\) \(16.074\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(-4\) \(11\) \(-13\) \(-5\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{5}+\beta _{6})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2013.2.a.b \(11\) \(16.074\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(-2\) \(-11\) \(-1\) \(-11\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+\cdots\)
2013.2.a.c \(12\) \(16.074\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(-7\) \(12\) \(-7\) \(-15\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
2013.2.a.d \(12\) \(16.074\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(1\) \(-12\) \(-3\) \(-9\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
2013.2.a.e \(13\) \(16.074\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(2\) \(-13\) \(3\) \(11\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
2013.2.a.f \(13\) \(16.074\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(4\) \(13\) \(7\) \(5\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
2013.2.a.g \(13\) \(16.074\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(4\) \(13\) \(7\) \(7\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{5}+\cdots)q^{5}+\cdots\)
2013.2.a.h \(14\) \(16.074\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-1\) \(-14\) \(1\) \(9\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
2013.4.a.a \(36\) \(118.771\) None None \(-14\) \(108\) \(-65\) \(-105\) \(-\)
2013.4.a.b \(36\) \(118.771\) None None \(2\) \(-108\) \(-5\) \(-63\) \(-\)
2013.4.a.c \(37\) \(118.771\) None None \(-8\) \(111\) \(-35\) \(-35\) \(-\)
2013.4.a.d \(37\) \(118.771\) None None \(-4\) \(-111\) \(-15\) \(-77\) \(-\)
2013.4.a.e \(38\) \(118.771\) None None \(-2\) \(-114\) \(15\) \(63\) \(+\)
2013.4.a.f \(38\) \(118.771\) None None \(14\) \(114\) \(35\) \(105\) \(+\)
2013.4.a.g \(39\) \(118.771\) None None \(4\) \(-117\) \(5\) \(77\) \(+\)
2013.4.a.h \(39\) \(118.771\) None None \(8\) \(117\) \(65\) \(35\) \(+\)
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