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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
722.2.a.a \(1\) \(5.765\) \(\Q\) None \(-1\) \(-3\) \(2\) \(-3\) \(+\) \(q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
722.2.a.b \(1\) \(5.765\) \(\Q\) None \(-1\) \(1\) \(-4\) \(3\) \(-\) \(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}+3q^{7}+\cdots\)
722.2.a.c \(1\) \(5.765\) \(\Q\) None \(-1\) \(1\) \(0\) \(-4\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
722.2.a.d \(1\) \(5.765\) \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
722.2.a.e \(1\) \(5.765\) \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
722.2.a.f \(1\) \(5.765\) \(\Q\) None \(1\) \(3\) \(2\) \(-3\) \(-\) \(q+q^{2}+3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
722.2.a.g \(2\) \(5.765\) \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(2\) \(2\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots\)
722.2.a.h \(2\) \(5.765\) \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(-5\) \(-2\) \(-\) \(q-q^{2}+2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
722.2.a.i \(2\) \(5.765\) \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(-5\) \(-2\) \(+\) \(q+q^{2}-2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
722.2.a.j \(2\) \(5.765\) \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(2\) \(2\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
722.2.a.k \(3\) \(5.765\) \(\Q(\zeta_{18})^+\) None \(-3\) \(0\) \(6\) \(6\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
722.2.a.l \(3\) \(5.765\) \(\Q(\zeta_{18})^+\) None \(3\) \(0\) \(6\) \(6\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
722.2.a.m \(4\) \(5.765\) \(\Q(\zeta_{20})^+\) None \(-4\) \(-2\) \(-2\) \(-2\) \(+\) \(q-q^{2}+(-1-\beta _{2}-\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
722.2.a.n \(4\) \(5.765\) \(\Q(\zeta_{20})^+\) None \(4\) \(2\) \(-2\) \(-2\) \(-\) \(q+q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
722.2.c.a \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-3\) \(-2\) \(-6\) \(q+(-1+\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.b \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(-8\) \(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.c \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(-2\) \(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.d \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(4\) \(6\) \(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.e \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(0\) \(-2\) \(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.f \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(4\) \(6\) \(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.g \(2\) \(5.765\) \(\Q(\sqrt{-3}) \) None \(1\) \(3\) \(-2\) \(-6\) \(q+(1-\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.h \(4\) \(5.765\) \(\Q(\sqrt{-3}, \sqrt{5})\) None \(-2\) \(2\) \(5\) \(-4\) \(q+(-1-\beta _{3})q^{2}+2\beta _{1}q^{3}+\beta _{3}q^{4}+\cdots\)
722.2.c.i \(4\) \(5.765\) \(\Q(\sqrt{-3}, \sqrt{5})\) None \(2\) \(-2\) \(5\) \(-4\) \(q+(1+\beta _{3})q^{2}-2\beta _{1}q^{3}+\beta _{3}q^{4}+(3+\cdots)q^{5}+\cdots\)
722.2.c.j \(4\) \(5.765\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(2\) \(0\) \(-2\) \(4\) \(q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{5}+\cdots\)
722.2.c.k \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(-3\) \(0\) \(-6\) \(12\) \(q+(-1+\zeta_{18})q^{2}+(\zeta_{18}^{2}-\zeta_{18}^{3})q^{3}+\cdots\)
722.2.c.l \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(3\) \(0\) \(-6\) \(12\) \(q+\zeta_{18}q^{2}+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+\cdots)q^{3}+\cdots\)
722.2.c.m \(8\) \(5.765\) 8.0.324000000.2 None \(-4\) \(-2\) \(2\) \(-4\) \(q+(-1-\beta _{4})q^{2}+(\beta _{3}+\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots\)
722.2.c.n \(8\) \(5.765\) 8.0.324000000.2 None \(4\) \(2\) \(2\) \(-4\) \(q+(1+\beta _{4})q^{2}+(-\beta _{3}-\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots\)
722.2.e.a \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(-6\) \(0\) \(-6\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(-1-\zeta_{18}^{2}+\cdots)q^{3}+\cdots\)
722.2.e.b \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(-3\) \(0\) \(-6\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(-1+\zeta_{18}^{3}-\zeta_{18}^{5})q^{3}+\cdots\)
722.2.e.c \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(-9\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.d \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(-9\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.e \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(3\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.f \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(3\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.g \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(9\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.h \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(9\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.i \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(12\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.j \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(0\) \(0\) \(12\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.k \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(3\) \(0\) \(-6\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{3}+\cdots)q^{3}+\cdots\)
722.2.e.l \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(3\) \(0\) \(-6\) \(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(1-\zeta_{18}^{3}+\zeta_{18}^{5})q^{3}+\cdots\)
722.2.e.m \(6\) \(5.765\) \(\Q(\zeta_{18})\) None \(0\) \(6\) \(0\) \(-6\) \(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(1+\zeta_{18}^{2})q^{3}+\cdots\)
722.2.e.n \(12\) \(5.765\) 12.0.\(\cdots\).3 None \(0\) \(0\) \(0\) \(-6\) \(q+\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)
722.2.e.o \(12\) \(5.765\) 12.0.\(\cdots\).3 None \(0\) \(0\) \(0\) \(-6\) \(q-\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)
722.2.e.p \(12\) \(5.765\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(6\) \(q-\beta _{9}q^{2}-2\beta _{7}q^{3}-\beta _{11}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
722.2.e.q \(12\) \(5.765\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(6\) \(q+(\beta _{3}-\beta _{9})q^{2}-2\beta _{1}q^{3}+(-\beta _{5}+\beta _{11})q^{4}+\cdots\)
722.2.e.r \(24\) \(5.765\) None \(0\) \(0\) \(0\) \(6\)
722.2.e.s \(24\) \(5.765\) None \(0\) \(0\) \(0\) \(6\)
722.2.g.a \(288\) \(5.765\) None \(16\) \(-1\) \(1\) \(2\)
722.2.g.b \(306\) \(5.765\) None \(-17\) \(16\) \(-1\) \(-10\)
722.2.i.a \(576\) \(5.765\) None \(-16\) \(1\) \(-1\) \(10\)
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