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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
294.2.a.a \(1\) \(2.348\) \(\Q\) None \(-1\) \(-1\) \(-3\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{8}+\cdots\)
294.2.a.b \(1\) \(2.348\) \(\Q\) None \(-1\) \(-1\) \(4\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}-q^{8}+\cdots\)
294.2.a.c \(1\) \(2.348\) \(\Q\) None \(-1\) \(1\) \(-4\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}-q^{8}+\cdots\)
294.2.a.d \(1\) \(2.348\) \(\Q\) None \(-1\) \(1\) \(3\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{8}+\cdots\)
294.2.a.e \(1\) \(2.348\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
294.2.a.f \(1\) \(2.348\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
294.2.a.g \(1\) \(2.348\) \(\Q\) None \(1\) \(1\) \(2\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)
294.2.d.a \(4\) \(2.348\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{3}q^{3}-q^{4}+\zeta_{12}^{3}q^{5}+\cdots\)
294.2.d.b \(8\) \(2.348\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{4}q^{2}+(\zeta_{16}+\zeta_{16}^{5}+\zeta_{16}^{7})q^{3}+\cdots\)
294.2.e.a \(2\) \(2.348\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(-2\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
294.2.e.b \(2\) \(2.348\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
294.2.e.c \(2\) \(2.348\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(2\) \(0\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
294.2.e.d \(2\) \(2.348\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(4\) \(0\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
294.2.e.e \(2\) \(2.348\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(-4\) \(0\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
294.2.e.f \(2\) \(2.348\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(3\) \(0\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
294.2.f.a \(4\) \(2.348\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
294.2.f.b \(8\) \(2.348\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}+\zeta_{24}^{4})q^{2}-\zeta_{24}^{6}q^{3}+(1+\cdots)q^{4}+\cdots\)
294.2.f.c \(16\) \(2.348\) \(\Q(\zeta_{48})\) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{48}^{4}-\zeta_{48}^{12})q^{2}+(\zeta_{48}+\zeta_{48}^{3}+\cdots)q^{3}+\cdots\)
294.2.i.a \(6\) \(2.348\) \(\Q(\zeta_{14})\) None \(-1\) \(-1\) \(5\) \(7\) \(q+(-1+\zeta_{14}-\zeta_{14}^{2}+\zeta_{14}^{3}-\zeta_{14}^{4}+\cdots)q^{2}+\cdots\)
294.2.i.b \(12\) \(2.348\) 12.0.\(\cdots\).1 None \(2\) \(-2\) \(1\) \(0\) \(q-\beta _{1}q^{2}+\beta _{9}q^{3}-\beta _{4}q^{4}+(-\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots\)
294.2.i.c \(12\) \(2.348\) 12.0.\(\cdots\).1 None \(2\) \(2\) \(-1\) \(0\) \(q+(1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{9})q^{2}+\cdots\)
294.2.i.d \(18\) \(2.348\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-3\) \(3\) \(3\) \(1\) \(q-\beta _{4}q^{2}+(1-\beta _{4}-\beta _{7}-\beta _{10}-\beta _{11}+\cdots)q^{3}+\cdots\)
294.2.j.a \(120\) \(2.348\) None \(0\) \(0\) \(0\) \(4\)
294.2.m.a \(24\) \(2.348\) None \(-2\) \(-2\) \(1\) \(0\)
294.2.m.b \(24\) \(2.348\) None \(2\) \(2\) \(1\) \(0\)
294.2.m.c \(36\) \(2.348\) None \(-3\) \(3\) \(2\) \(-5\)
294.2.m.d \(36\) \(2.348\) None \(3\) \(-3\) \(0\) \(-1\)
294.2.p.a \(216\) \(2.348\) None \(0\) \(0\) \(0\) \(10\)
294.3.b.a \(2\) \(8.011\) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+\beta q^{2}+(-1-2\beta )q^{3}-2q^{4}+\beta q^{5}+\cdots\)
294.3.b.b \(2\) \(8.011\) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+\beta q^{2}+(-1-2\beta )q^{3}-2q^{4}-6\beta q^{5}+\cdots\)
294.3.b.c \(2\) \(8.011\) \(\Q(\sqrt{-2}) \) None \(0\) \(2\) \(0\) \(0\) \(q+\beta q^{2}+(1+2\beta )q^{3}-2q^{4}+6\beta q^{5}+\cdots\)
294.3.b.d \(2\) \(8.011\) \(\Q(\sqrt{-2}) \) None \(0\) \(2\) \(0\) \(0\) \(q+\beta q^{2}+(1+2\beta )q^{3}-2q^{4}-\beta q^{5}+\cdots\)
294.3.b.e \(4\) \(8.011\) \(\Q(\sqrt{-2}, \sqrt{-11})\) None \(0\) \(-2\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}-2q^{4}+\cdots\)
294.3.b.f \(4\) \(8.011\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}+3\zeta_{8}q^{3}-2q^{4}-8\zeta_{8}q^{5}+\cdots\)
294.3.b.g \(4\) \(8.011\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}+(\zeta_{8}+2\zeta_{8}^{3})q^{3}-2q^{4}+\cdots\)
294.3.b.h \(4\) \(8.011\) \(\Q(\sqrt{-2}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{3})q^{3}-2q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
294.3.b.i \(4\) \(8.011\) \(\Q(\sqrt{-2}, \sqrt{-11})\) None \(0\) \(2\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3})q^{3}-2q^{4}+\cdots\)
294.3.c.a \(4\) \(8.011\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+2q^{4}+(2\beta _{2}-2\beta _{3})q^{5}+\cdots\)
294.3.c.b \(8\) \(8.011\) 8.0.339738624.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+2q^{4}+(\beta _{4}-2\beta _{7})q^{5}+\cdots\)
294.3.g.a \(4\) \(8.011\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(-6\) \(-12\) \(0\) \(q+\beta _{1}q^{2}+(-2-\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots\)
294.3.g.b \(4\) \(8.011\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(-6\) \(12\) \(0\) \(q+\beta _{1}q^{2}+(-2-\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots\)
294.3.g.c \(4\) \(8.011\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(6\) \(-12\) \(0\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{3}+2\beta _{2}q^{4}+(-2+\cdots)q^{5}+\cdots\)
294.3.g.d \(8\) \(8.011\) 8.0.339738624.1 None \(0\) \(-12\) \(0\) \(0\) \(q+(\beta _{2}+\beta _{5})q^{2}+(-2-\beta _{4})q^{3}+2\beta _{4}q^{4}+\cdots\)
294.3.g.e \(8\) \(8.011\) 8.0.339738624.1 None \(0\) \(12\) \(0\) \(0\) \(q+(\beta _{2}+\beta _{5})q^{2}+(2+\beta _{4})q^{3}+2\beta _{4}q^{4}+\cdots\)
294.3.h.a \(4\) \(8.011\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(-2\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-2\beta _{1}-\beta _{2}+2\beta _{3})q^{3}+\cdots\)
294.3.h.b \(4\) \(8.011\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(-2\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-2\beta _{1}-\beta _{2}+2\beta _{3})q^{3}+\cdots\)
294.3.h.c \(4\) \(8.011\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(0\) \(2\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(2\beta _{1}+\beta _{2}-2\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots\)
294.3.h.d \(8\) \(8.011\) 8.0.\(\cdots\).5 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{2}+(-\beta _{1}+\beta _{4}-\beta _{5}-\beta _{6})q^{3}+\cdots\)
294.3.h.e \(8\) \(8.011\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{5}q^{2}+(\zeta_{24}-2\zeta_{24}^{4}+2\zeta_{24}^{7})q^{3}+\cdots\)
294.3.h.f \(8\) \(8.011\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{2}-3\zeta_{24}q^{3}+(2-2\zeta_{24}^{2}+\cdots)q^{4}+\cdots\)
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