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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
162.2.a.a \(1\) \(1.294\) \(\Q\) None \(-1\) \(0\) \(-3\) \(-4\) \(+\) \(q-q^{2}+q^{4}-3q^{5}-4q^{7}-q^{8}+3q^{10}+\cdots\)
162.2.a.b \(1\) \(1.294\) \(\Q\) None \(-1\) \(0\) \(0\) \(2\) \(-\) \(q-q^{2}+q^{4}+2q^{7}-q^{8}+3q^{11}+2q^{13}+\cdots\)
162.2.a.c \(1\) \(1.294\) \(\Q\) None \(1\) \(0\) \(0\) \(2\) \(-\) \(q+q^{2}+q^{4}+2q^{7}+q^{8}-3q^{11}+2q^{13}+\cdots\)
162.2.a.d \(1\) \(1.294\) \(\Q\) None \(1\) \(0\) \(3\) \(-4\) \(-\) \(q+q^{2}+q^{4}+3q^{5}-4q^{7}+q^{8}+3q^{10}+\cdots\)
162.2.c.a \(2\) \(1.294\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-3\) \(4\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{5}+\cdots\)
162.2.c.b \(2\) \(1.294\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(3\) \(1\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots\)
162.2.c.c \(2\) \(1.294\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-3\) \(1\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots\)
162.2.c.d \(2\) \(1.294\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(3\) \(4\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{5}+(4+\cdots)q^{7}+\cdots\)
162.2.e.a \(6\) \(1.294\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(3\) \(3\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-\zeta_{18}^{5}q^{4}+(\zeta_{18}^{2}+\cdots)q^{5}+\cdots\)
162.2.e.b \(12\) \(1.294\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(3\) \(-3\) \(q+(\beta _{4}+\beta _{8})q^{2}-\beta _{6}q^{4}+(1-\beta _{2}+\beta _{7}+\cdots)q^{5}+\cdots\)
162.2.g.a \(72\) \(1.294\) None \(0\) \(0\) \(0\) \(0\)
162.2.g.b \(90\) \(1.294\) None \(0\) \(0\) \(0\) \(0\)
162.3.b.a \(4\) \(4.414\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(-4\) \(q-\beta _{1}q^{2}-2q^{4}+\beta _{2}q^{5}+(-1+\beta _{3})q^{7}+\cdots\)
162.3.b.b \(4\) \(4.414\) \(\Q(\sqrt{-2}, \sqrt{3})\) None \(0\) \(0\) \(0\) \(8\) \(q-\beta _{1}q^{2}-2q^{4}+(\beta _{1}-\beta _{2})q^{5}+(2+2\beta _{3})q^{7}+\cdots\)
162.3.d.a \(4\) \(4.414\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(-10\) \(q+\beta _{1}q^{2}+2\beta _{2}q^{4}+(-6\beta _{1}+6\beta _{3})q^{5}+\cdots\)
162.3.d.b \(4\) \(4.414\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(8\) \(q+\beta _{1}q^{2}+2\beta _{2}q^{4}+(3\beta _{1}-3\beta _{3})q^{5}+\cdots\)
162.3.d.c \(8\) \(4.414\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(-8\) \(q+\zeta_{24}^{5}q^{2}+2\zeta_{24}q^{4}+(2\zeta_{24}^{3}-\zeta_{24}^{6}+\cdots)q^{5}+\cdots\)
162.3.f.a \(36\) \(4.414\) None \(0\) \(0\) \(-18\) \(0\)
162.3.h.a \(324\) \(4.414\) None \(0\) \(0\) \(0\) \(0\)
162.4.a.a \(1\) \(9.558\) \(\Q\) None \(-2\) \(0\) \(9\) \(-31\) \(-\) \(q-2q^{2}+4q^{4}+9q^{5}-31q^{7}-8q^{8}+\cdots\)
162.4.a.b \(1\) \(9.558\) \(\Q\) None \(-2\) \(0\) \(21\) \(8\) \(+\) \(q-2q^{2}+4q^{4}+21q^{5}+8q^{7}-8q^{8}+\cdots\)
162.4.a.c \(1\) \(9.558\) \(\Q\) None \(2\) \(0\) \(-21\) \(8\) \(-\) \(q+2q^{2}+4q^{4}-21q^{5}+8q^{7}+8q^{8}+\cdots\)
162.4.a.d \(1\) \(9.558\) \(\Q\) None \(2\) \(0\) \(-9\) \(-31\) \(-\) \(q+2q^{2}+4q^{4}-9q^{5}-31q^{7}+8q^{8}+\cdots\)
162.4.a.e \(2\) \(9.558\) \(\Q(\sqrt{3}) \) None \(-4\) \(0\) \(-12\) \(16\) \(-\) \(q-2q^{2}+4q^{4}+(-6+\beta )q^{5}+(8-2\beta )q^{7}+\cdots\)
162.4.a.f \(2\) \(9.558\) \(\Q(\sqrt{105}) \) None \(-4\) \(0\) \(-9\) \(19\) \(+\) \(q-2q^{2}+4q^{4}+(-5-\beta )q^{5}+(9-\beta )q^{7}+\cdots\)
162.4.a.g \(2\) \(9.558\) \(\Q(\sqrt{105}) \) None \(4\) \(0\) \(9\) \(19\) \(+\) \(q+2q^{2}+4q^{4}+(4-\beta )q^{5}+(10+\beta )q^{7}+\cdots\)
162.4.a.h \(2\) \(9.558\) \(\Q(\sqrt{3}) \) None \(4\) \(0\) \(12\) \(16\) \(+\) \(q+2q^{2}+4q^{4}+(6+\beta )q^{5}+(8+2\beta )q^{7}+\cdots\)
162.4.c.a \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(-12\) \(7\) \(q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}-12\zeta_{6}q^{5}+\cdots\)
162.4.c.b \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(-3\) \(-29\) \(q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}-3\zeta_{6}q^{5}+\cdots\)
162.4.c.c \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(6\) \(16\) \(q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+6\zeta_{6}q^{5}+\cdots\)
162.4.c.d \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(21\) \(-8\) \(q+(-2+2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+21\zeta_{6}q^{5}+\cdots\)
162.4.c.e \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(-21\) \(-8\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}-21\zeta_{6}q^{5}+\cdots\)
162.4.c.f \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(-6\) \(16\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}-6\zeta_{6}q^{5}+\cdots\)
162.4.c.g \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(3\) \(-29\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots\)
162.4.c.h \(2\) \(9.558\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(12\) \(7\) \(q+(2-2\zeta_{6})q^{2}-4\zeta_{6}q^{4}+12\zeta_{6}q^{5}+\cdots\)
162.4.c.i \(4\) \(9.558\) \(\Q(\zeta_{12})\) None \(-4\) \(0\) \(-12\) \(-16\) \(q+(-2+2\zeta_{12})q^{2}-4\zeta_{12}q^{4}+(-6\zeta_{12}+\cdots)q^{5}+\cdots\)
162.4.c.j \(4\) \(9.558\) \(\Q(\zeta_{12})\) None \(4\) \(0\) \(12\) \(-16\) \(q+(2-2\zeta_{12})q^{2}-4\zeta_{12}q^{4}+(6\zeta_{12}+\cdots)q^{5}+\cdots\)
162.4.e.a \(24\) \(9.558\) None \(0\) \(0\) \(12\) \(-33\)
162.4.e.b \(30\) \(9.558\) None \(0\) \(0\) \(12\) \(33\)
162.4.g.a \(234\) \(9.558\) None \(0\) \(0\) \(0\) \(0\)
162.4.g.b \(252\) \(9.558\) None \(0\) \(0\) \(0\) \(0\)
162.5.b.a \(4\) \(16.746\) \(\Q(\sqrt{-2}, \sqrt{3})\) None \(0\) \(0\) \(0\) \(-52\) \(q-2\beta _{1}q^{2}-8q^{4}+(-17\beta _{1}+5\beta _{2}+\cdots)q^{5}+\cdots\)
162.5.b.b \(4\) \(16.746\) \(\Q(\sqrt{-2}, \sqrt{3})\) None \(0\) \(0\) \(0\) \(-52\) \(q+2\beta _{1}q^{2}-8q^{4}+(-8\beta _{1}+\beta _{2})q^{5}+\cdots\)
162.5.b.c \(8\) \(16.746\) 8.0.\(\cdots\).4 None \(0\) \(0\) \(0\) \(52\) \(q+\beta _{2}q^{2}-8q^{4}-\beta _{4}q^{5}+(6+\beta _{1})q^{7}+\cdots\)
162.5.d.a \(4\) \(16.746\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(-52\) \(q+(-\beta _{1}+\beta _{3})q^{2}+(8-8\beta _{2})q^{4}+6\beta _{1}q^{5}+\cdots\)
162.5.d.b \(4\) \(16.746\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(146\) \(q+(\beta _{1}-\beta _{3})q^{2}+(8-8\beta _{2})q^{4}+12\beta _{1}q^{5}+\cdots\)
162.5.d.c \(8\) \(16.746\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(-68\) \(q-\zeta_{24}^{5}q^{2}+8\zeta_{24}^{2}q^{4}+(\zeta_{24}-\zeta_{24}^{3}+\cdots)q^{5}+\cdots\)
162.5.d.d \(8\) \(16.746\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(52\) \(q-2\zeta_{24}^{3}q^{2}+(8-8\zeta_{24})q^{4}+(22\zeta_{24}^{5}+\cdots)q^{5}+\cdots\)
162.5.d.e \(8\) \(16.746\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(52\) \(q+(2\zeta_{24}^{3}+2\zeta_{24}^{5})q^{2}+(8-8\zeta_{24}+\cdots)q^{4}+\cdots\)
162.5.f.a \(72\) \(16.746\) None \(0\) \(0\) \(18\) \(0\)
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