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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1734.2.a.a \(1\) \(13.846\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(4\) \(-\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots\)
1734.2.a.b \(1\) \(13.846\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
1734.2.a.c \(1\) \(13.846\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
1734.2.a.d \(1\) \(13.846\) \(\Q\) None \(-1\) \(-1\) \(2\) \(2\) \(+\) \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+2q^{7}+\cdots\)
1734.2.a.e \(1\) \(13.846\) \(\Q\) None \(-1\) \(1\) \(-2\) \(-2\) \(-\) \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-2q^{7}+\cdots\)
1734.2.a.f \(1\) \(13.846\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
1734.2.a.g \(1\) \(13.846\) \(\Q\) None \(-1\) \(1\) \(1\) \(-4\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots\)
1734.2.a.h \(1\) \(13.846\) \(\Q\) None \(-1\) \(1\) \(4\) \(2\) \(-\) \(q-q^{2}+q^{3}+q^{4}+4q^{5}-q^{6}+2q^{7}+\cdots\)
1734.2.a.i \(1\) \(13.846\) \(\Q\) None \(1\) \(-1\) \(-4\) \(-3\) \(-\) \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
1734.2.a.j \(1\) \(13.846\) \(\Q\) None \(1\) \(-1\) \(2\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots\)
1734.2.a.k \(1\) \(13.846\) \(\Q\) None \(1\) \(-1\) \(3\) \(4\) \(-\) \(q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}+4q^{7}+\cdots\)
1734.2.a.l \(1\) \(13.846\) \(\Q\) None \(1\) \(1\) \(-3\) \(-4\) \(-\) \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-4q^{7}+\cdots\)
1734.2.a.m \(1\) \(13.846\) \(\Q\) None \(1\) \(1\) \(4\) \(3\) \(-\) \(q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}+3q^{7}+\cdots\)
1734.2.a.n \(2\) \(13.846\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(4\) \(4\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(2+\beta )q^{5}-q^{6}+\cdots\)
1734.2.a.o \(2\) \(13.846\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(-4\) \(-4\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(-2+\beta )q^{5}+q^{6}+\cdots\)
1734.2.a.p \(3\) \(13.846\) \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(-6\) \(-3\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(-2+\beta _{1})q^{5}+q^{6}+\cdots\)
1734.2.a.q \(3\) \(13.846\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(6\) \(3\) \(-\) \(q-q^{2}+q^{3}+q^{4}+(2-\beta _{1})q^{5}-q^{6}+\cdots\)
1734.2.a.r \(3\) \(13.846\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(-6\) \(3\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(-2+\beta _{1})q^{5}-q^{6}+\cdots\)
1734.2.a.s \(3\) \(13.846\) \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(6\) \(-3\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(2-\beta _{1})q^{5}+q^{6}+\cdots\)
1734.2.a.t \(4\) \(13.846\) \(\Q(\zeta_{16})^+\) None \(-4\) \(-4\) \(8\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(2+\beta _{2}+\beta _{3})q^{5}+\cdots\)
1734.2.a.u \(4\) \(13.846\) \(\Q(\zeta_{16})^+\) None \(-4\) \(4\) \(-8\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}+(-2-\beta _{2}+\beta _{3})q^{5}+\cdots\)
1734.2.a.v \(4\) \(13.846\) \(\Q(\zeta_{16})^+\) None \(4\) \(-4\) \(0\) \(-8\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(-\beta _{2}+\beta _{3})q^{5}+\cdots\)
1734.2.a.w \(4\) \(13.846\) \(\Q(\zeta_{16})^+\) None \(4\) \(4\) \(0\) \(8\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(\beta _{2}+\beta _{3})q^{5}+q^{6}+\cdots\)
1734.2.b.a \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+iq^{3}+q^{4}+4iq^{5}-iq^{6}+\cdots\)
1734.2.b.b \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}-iq^{3}+q^{4}+2iq^{5}+iq^{6}+\cdots\)
1734.2.b.c \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}-iq^{3}+q^{4}+3iq^{5}+iq^{6}+\cdots\)
1734.2.b.d \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+iq^{3}+q^{4}+4iq^{5}+iq^{6}+\cdots\)
1734.2.b.e \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+iq^{3}+q^{4}+iq^{6}+iq^{7}+q^{8}+\cdots\)
1734.2.b.f \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}-iq^{3}+q^{4}-iq^{6}+2iq^{7}+\cdots\)
1734.2.b.g \(2\) \(13.846\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+iq^{3}+q^{4}+iq^{5}+iq^{6}+4iq^{7}+\cdots\)
1734.2.b.h \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\zeta_{8}q^{3}+q^{4}+(2\zeta_{8}-\zeta_{8}^{2})q^{5}+\cdots\)
1734.2.b.i \(6\) \(13.846\) 6.0.419904.1 None \(-6\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{3}q^{3}+q^{4}+(\beta _{1}+2\beta _{3})q^{5}+\cdots\)
1734.2.b.j \(6\) \(13.846\) 6.0.419904.1 None \(6\) \(0\) \(0\) \(0\) \(q+q^{2}+\beta _{3}q^{3}+q^{4}+(\beta _{1}+2\beta _{3})q^{5}+\cdots\)
1734.2.b.k \(8\) \(13.846\) \(\Q(\zeta_{16})\) None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}-\zeta_{16}q^{3}+q^{4}+(\zeta_{16}^{2}+\zeta_{16}^{3}+\cdots)q^{5}+\cdots\)
1734.2.b.l \(8\) \(13.846\) \(\Q(\zeta_{16})\) None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}-\zeta_{16}q^{3}+q^{4}+(2\zeta_{16}+\zeta_{16}^{2}+\cdots)q^{5}+\cdots\)
1734.2.f.a \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}q^{5}-\zeta_{8}^{3}q^{6}+\cdots\)
1734.2.f.b \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}+\zeta_{8}^{3}q^{3}-q^{4}+\zeta_{8}q^{6}+\cdots\)
1734.2.f.c \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+3\zeta_{8}q^{5}+\cdots\)
1734.2.f.d \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}-q^{4}-\zeta_{8}q^{6}+\cdots\)
1734.2.f.e \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+2\zeta_{8}q^{5}+\cdots\)
1734.2.f.f \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+4\zeta_{8}q^{5}+\cdots\)
1734.2.f.g \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+4\zeta_{8}q^{5}+\cdots\)
1734.2.f.h \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+2\zeta_{8}q^{5}+\cdots\)
1734.2.f.i \(4\) \(13.846\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(4\) \(-8\) \(q-\zeta_{8}^{2}q^{2}+\zeta_{8}q^{3}-q^{4}+(1+2\zeta_{8}+\cdots)q^{5}+\cdots\)
1734.2.f.j \(8\) \(13.846\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(-8\) \(8\) \(q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{5}q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots\)
1734.2.f.k \(8\) \(13.846\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(-8\) \(8\) \(q+\zeta_{16}^{3}q^{2}+\zeta_{16}q^{3}-q^{4}+(-1+2\zeta_{16}+\cdots)q^{5}+\cdots\)
1734.2.f.l \(8\) \(13.846\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(8\) \(-8\) \(q+\zeta_{16}^{3}q^{2}+\zeta_{16}q^{3}-q^{4}+(1+2\zeta_{16}+\cdots)q^{5}+\cdots\)
1734.2.f.m \(8\) \(13.846\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(8\) \(-8\) \(q-\zeta_{16}^{3}q^{2}-\zeta_{16}q^{3}-q^{4}+(1+\zeta_{16}^{3}+\cdots)q^{5}+\cdots\)
1734.2.f.n \(12\) \(13.846\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{7}q^{2}-\beta _{10}q^{3}-q^{4}+(2\beta _{10}-\beta _{11})q^{5}+\cdots\)
1734.2.f.o \(12\) \(13.846\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{7}q^{2}-\beta _{10}q^{3}-q^{4}+(2\beta _{10}-\beta _{11})q^{5}+\cdots\)
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