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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1407.1.g.a \(1\) \(0.702\) \(\Q\) \(\Q(\sqrt{-1407}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q-q^{2}-q^{3}+q^{6}-q^{7}+q^{8}+q^{9}+\cdots\)
1407.1.g.b \(1\) \(0.702\) \(\Q\) \(\Q(\sqrt{-1407}) \) None \(-1\) \(1\) \(0\) \(1\) \(q-q^{2}+q^{3}-q^{6}+q^{7}+q^{8}+q^{9}+\cdots\)
1407.1.g.c \(1\) \(0.702\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1407}) \) \(\Q(\sqrt{469}) \) \(0\) \(-1\) \(0\) \(1\) \(q-q^{3}-q^{4}+q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\)
1407.1.g.d \(1\) \(0.702\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1407}) \) \(\Q(\sqrt{469}) \) \(0\) \(1\) \(0\) \(-1\) \(q+q^{3}-q^{4}-q^{7}+q^{9}-q^{12}+2q^{13}+\cdots\)
1407.1.g.e \(1\) \(0.702\) \(\Q\) \(\Q(\sqrt{-1407}) \) None \(1\) \(-1\) \(0\) \(-1\) \(q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots\)
1407.1.g.f \(1\) \(0.702\) \(\Q\) \(\Q(\sqrt{-1407}) \) None \(1\) \(1\) \(0\) \(1\) \(q+q^{2}+q^{3}+q^{6}+q^{7}-q^{8}+q^{9}+\cdots\)
1407.1.g.g \(2\) \(0.702\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1407}) \) None \(0\) \(-2\) \(0\) \(2\) \(q-\beta q^{2}-q^{3}+2q^{4}+\beta q^{6}+q^{7}-\beta q^{8}+\cdots\)
1407.1.g.h \(2\) \(0.702\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{469}) \) \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{3}-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{5}-q^{7}+\cdots\)
1407.1.g.i \(2\) \(0.702\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{469}) \) \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}-q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+\cdots\)
1407.1.g.j \(2\) \(0.702\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1407}) \) None \(0\) \(2\) \(0\) \(-2\) \(q-\beta q^{2}+q^{3}+2q^{4}-\beta q^{6}-q^{7}-\beta q^{8}+\cdots\)
1407.1.o.a \(2\) \(0.702\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
1407.1.u.a \(2\) \(0.702\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots\)
1407.1.bh.a \(2\) \(0.702\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(2\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots\)
1407.1.bm.a \(2\) \(0.702\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q+\zeta_{6}^{2}q^{3}-q^{4}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
1407.1.bq.a \(10\) \(0.702\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{22}q^{3}-\zeta_{22}^{4}q^{4}-\zeta_{22}^{6}q^{7}+\zeta_{22}^{2}q^{9}+\cdots\)
1407.1.bq.b \(10\) \(0.702\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{22}q^{3}-\zeta_{22}^{4}q^{4}-\zeta_{22}^{9}q^{7}+\zeta_{22}^{2}q^{9}+\cdots\)
1407.1.cb.a \(20\) \(0.702\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q-\zeta_{66}^{19}q^{3}+\zeta_{66}^{21}q^{4}-\zeta_{66}^{4}q^{7}+\cdots\)
1407.1.cg.a \(20\) \(0.702\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-2\) \(q+\zeta_{66}^{32}q^{3}-\zeta_{66}^{7}q^{4}+\zeta_{66}^{24}q^{7}+\cdots\)
1407.1.ct.a \(20\) \(0.702\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{66}^{10}q^{3}+\zeta_{66}^{29}q^{4}+\zeta_{66}^{24}q^{7}+\cdots\)
1407.1.cz.a \(20\) \(0.702\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{66}^{4}q^{3}-\zeta_{66}^{27}q^{4}-\zeta_{66}^{13}q^{7}+\cdots\)
1407.2.a.a \(1\) \(11.235\) \(\Q\) None None \(-2\) \(1\) \(0\) \(1\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
1407.2.a.b \(1\) \(11.235\) \(\Q\) None None \(-1\) \(-1\) \(4\) \(-1\) \(-\) \(q-q^{2}-q^{3}-q^{4}+4q^{5}+q^{6}-q^{7}+\cdots\)
1407.2.a.c \(1\) \(11.235\) \(\Q\) None None \(-1\) \(1\) \(2\) \(-1\) \(+\) \(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
1407.2.a.d \(1\) \(11.235\) \(\Q\) None None \(0\) \(1\) \(-2\) \(1\) \(+\) \(q+q^{3}-2q^{4}-2q^{5}+q^{7}+q^{9}-2q^{12}+\cdots\)
1407.2.a.e \(1\) \(11.235\) \(\Q\) None None \(1\) \(1\) \(0\) \(1\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{6}+q^{7}-3q^{8}+\cdots\)
1407.2.a.f \(1\) \(11.235\) \(\Q\) None None \(2\) \(1\) \(4\) \(-1\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots\)
1407.2.a.g \(2\) \(11.235\) \(\Q(\sqrt{17}) \) None None \(1\) \(2\) \(4\) \(-2\) \(-\) \(q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+2q^{5}+\beta q^{6}+\cdots\)
1407.2.a.h \(2\) \(11.235\) \(\Q(\sqrt{5}) \) None None \(2\) \(-2\) \(2\) \(2\) \(-\) \(q+q^{2}-q^{3}-q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
1407.2.a.i \(3\) \(11.235\) 3.3.148.1 None None \(0\) \(3\) \(-2\) \(-3\) \(+\) \(q+\beta _{2}q^{2}+q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1407.2.a.j \(6\) \(11.235\) 6.6.3512000.1 None None \(0\) \(-6\) \(6\) \(6\) \(-\) \(q+\beta _{3}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
1407.2.a.k \(7\) \(11.235\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-3\) \(-7\) \(-2\) \(-7\) \(+\) \(q-\beta _{2}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots\)
1407.2.a.l \(8\) \(11.235\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(-3\) \(-8\) \(-4\) \(8\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{3}-\beta _{4})q^{4}+\cdots\)
1407.2.a.m \(9\) \(11.235\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(1\) \(9\) \(-4\) \(-9\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots\)
1407.2.a.n \(10\) \(11.235\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(3\) \(-10\) \(-2\) \(-10\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
1407.2.a.o \(14\) \(11.235\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(1\) \(14\) \(4\) \(14\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
1407.2.e.a \(46\) \(11.235\) None None \(0\) \(-46\) \(0\) \(6\)
1407.2.e.b \(46\) \(11.235\) None None \(0\) \(46\) \(0\) \(-6\)
1407.2.i.a \(2\) \(11.235\) \(\Q(\sqrt{-3}) \) None None \(-1\) \(-1\) \(-3\) \(-5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots\)
1407.2.i.b \(2\) \(11.235\) \(\Q(\sqrt{-3}) \) None None \(-1\) \(1\) \(3\) \(-4\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots\)
1407.2.i.c \(2\) \(11.235\) \(\Q(\sqrt{-3}) \) None None \(1\) \(-1\) \(-1\) \(-5\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots\)
1407.2.i.d \(2\) \(11.235\) \(\Q(\sqrt{-3}) \) None None \(1\) \(1\) \(-1\) \(4\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{4}+\cdots\)
1407.2.i.e \(4\) \(11.235\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(-2\) \(2\) \(-2\) \(4\) \(q+\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1407.2.i.f \(4\) \(11.235\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(2\) \(2\) \(0\) \(2\) \(q+(1+\beta _{1}+\beta _{2})q^{2}-\beta _{2}q^{3}+(2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1407.2.i.g \(34\) \(11.235\) None None \(5\) \(17\) \(2\) \(-2\)
1407.2.i.h \(38\) \(11.235\) None None \(5\) \(-19\) \(-2\) \(2\)
1407.2.i.i \(42\) \(11.235\) None None \(-7\) \(21\) \(-2\) \(0\)
1407.2.i.j \(46\) \(11.235\) None None \(-3\) \(-23\) \(2\) \(12\)
1407.4.a.a \(18\) \(83.016\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(-3\) \(54\) \(-29\) \(126\) \(-\) \(q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
1407.4.a.b \(21\) \(83.016\) None None \(-3\) \(63\) \(-13\) \(-147\) \(-\)
1407.4.a.c \(22\) \(83.016\) None None \(-5\) \(-66\) \(-3\) \(-154\) \(-\)
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