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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1710.2.a.a \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) \(+\) \(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.b \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-2\) \(-\) \(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.c \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-2\) \(+\) \(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.d \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.e \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) \(+\) \(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.f \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) \(-\) \(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.g \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(1\) \(-5\) \(-\) \(q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.h \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(1\) \(-2\) \(+\) \(q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.i \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots\)
1710.2.a.j \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(-\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.k \(1\) \(13.654\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(-\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
1710.2.a.l \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) \(+\) \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.m \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) \(+\) \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.n \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) \(-\) \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.o \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(-1\) \(2\) \(-\) \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.p \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(1\) \(-4\) \(+\) \(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.q \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(1\) \(-2\) \(+\) \(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.r \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.s \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(1\) \(2\) \(-\) \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.t \(1\) \(13.654\) \(\Q\) None \(1\) \(0\) \(1\) \(4\) \(-\) \(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.a.u \(2\) \(13.654\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(4\) \(-\) \(q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots\)
1710.2.a.v \(2\) \(13.654\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(2\) \(2\) \(-\) \(q-q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}-q^{8}+\cdots\)
1710.2.a.w \(2\) \(13.654\) \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(-2\) \(-1\) \(+\) \(q+q^{2}+q^{4}-q^{5}-\beta q^{7}+q^{8}-q^{10}+\cdots\)
1710.2.a.x \(2\) \(13.654\) \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(-2\) \(2\) \(-\) \(q+q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
1710.2.a.y \(2\) \(13.654\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(2\) \(4\) \(-\) \(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
1710.2.c.a \(4\) \(13.654\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{8}+\cdots\)
1710.2.c.b \(4\) \(13.654\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
1710.2.c.c \(8\) \(13.654\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-q^{4}+(\zeta_{24}^{3}+\zeta_{24}^{4})q^{5}+\cdots\)
1710.2.c.d \(24\) \(13.654\) None \(0\) \(0\) \(0\) \(0\)
1710.2.d.a \(2\) \(13.654\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-q^{4}+(-2+i)q^{5}-iq^{8}+\cdots\)
1710.2.d.b \(2\) \(13.654\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}-q^{4}+(1+2i)q^{5}+iq^{8}+(2+\cdots)q^{10}+\cdots\)
1710.2.d.c \(4\) \(13.654\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
1710.2.d.d \(6\) \(13.654\) 6.0.5161984.1 None \(0\) \(0\) \(-2\) \(0\) \(q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
1710.2.d.e \(6\) \(13.654\) 6.0.350464.1 None \(0\) \(0\) \(-2\) \(0\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots\)
1710.2.d.f \(6\) \(13.654\) 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{4}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots\)
1710.2.d.g \(8\) \(13.654\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-q^{4}+\zeta_{24}^{7}q^{5}+(\zeta_{24}^{2}+\cdots)q^{7}+\cdots\)
1710.2.d.h \(12\) \(13.654\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}-q^{4}-\beta _{2}q^{5}-\beta _{1}q^{7}+\beta _{3}q^{8}+\cdots\)
1710.2.f.a \(16\) \(13.654\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-16\) \(0\) \(0\) \(-8\) \(q-q^{2}+q^{4}-\beta _{9}q^{5}+\beta _{3}q^{7}-q^{8}+\cdots\)
1710.2.f.b \(16\) \(13.654\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(16\) \(0\) \(0\) \(-8\) \(q+q^{2}+q^{4}-\beta _{9}q^{5}+\beta _{3}q^{7}+q^{8}+\cdots\)
1710.2.l.a \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(-2\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.b \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(4\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.c \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-10\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
1710.2.l.d \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(-10\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
1710.2.l.e \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-10\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.f \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-2\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.g \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(-2\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.h \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(2\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.i \(2\) \(13.654\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-1\) \(6\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
1710.2.l.j \(4\) \(13.654\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(-2\) \(0\) \(-2\) \(0\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
1710.2.l.k \(4\) \(13.654\) \(\Q(\sqrt{-3}, \sqrt{19})\) None \(-2\) \(0\) \(-2\) \(0\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
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