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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
966.2.a.a \(1\) \(7.714\) \(\Q\) None \(-1\) \(-1\) \(-4\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots\)
966.2.a.b \(1\) \(7.714\) \(\Q\) None \(-1\) \(-1\) \(-2\) \(-1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots\)
966.2.a.c \(1\) \(7.714\) \(\Q\) None \(-1\) \(-1\) \(2\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
966.2.a.d \(1\) \(7.714\) \(\Q\) None \(-1\) \(-1\) \(3\) \(1\) \(-\) \(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots\)
966.2.a.e \(1\) \(7.714\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
966.2.a.f \(1\) \(7.714\) \(\Q\) None \(-1\) \(1\) \(0\) \(1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
966.2.a.g \(1\) \(7.714\) \(\Q\) None \(1\) \(-1\) \(-2\) \(1\) \(+\) \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
966.2.a.h \(1\) \(7.714\) \(\Q\) None \(1\) \(-1\) \(1\) \(1\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
966.2.a.i \(1\) \(7.714\) \(\Q\) None \(1\) \(1\) \(-3\) \(1\) \(-\) \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots\)
966.2.a.j \(1\) \(7.714\) \(\Q\) None \(1\) \(1\) \(-2\) \(-1\) \(-\) \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots\)
966.2.a.k \(1\) \(7.714\) \(\Q\) None \(1\) \(1\) \(3\) \(-1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
966.2.a.l \(2\) \(7.714\) \(\Q(\sqrt{17}) \) None \(-2\) \(-2\) \(1\) \(-2\) \(-\) \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots\)
966.2.a.m \(2\) \(7.714\) \(\Q(\sqrt{41}) \) None \(-2\) \(2\) \(-1\) \(-2\) \(-\) \(q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{7}+\cdots\)
966.2.a.n \(2\) \(7.714\) \(\Q(\sqrt{41}) \) None \(-2\) \(2\) \(1\) \(2\) \(-\) \(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots\)
966.2.a.o \(2\) \(7.714\) \(\Q(\sqrt{33}) \) None \(2\) \(-2\) \(-3\) \(-2\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
966.2.a.p \(2\) \(7.714\) \(\Q(\sqrt{5}) \) None \(2\) \(2\) \(4\) \(2\) \(-\) \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
966.2.f.a \(4\) \(7.714\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(8\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}-q^{4}-\zeta_{12}^{3}q^{5}+\cdots\)
966.2.f.b \(24\) \(7.714\) None \(0\) \(0\) \(0\) \(-4\)
966.2.f.c \(28\) \(7.714\) None \(0\) \(0\) \(0\) \(4\)
966.2.g.a \(4\) \(7.714\) \(\Q(i, \sqrt{14})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+\beta _{1}q^{7}+\cdots\)
966.2.g.b \(4\) \(7.714\) \(\Q(i, \sqrt{14})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{2}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)
966.2.g.c \(4\) \(7.714\) \(\Q(i, \sqrt{7})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+\beta _{3}q^{7}+\cdots\)
966.2.g.d \(4\) \(7.714\) \(\Q(i, \sqrt{7})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
966.2.g.e \(16\) \(7.714\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(16\) \(0\) \(0\) \(0\) \(q+q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{8}q^{5}+\beta _{2}q^{6}+\cdots\)
966.2.h.a \(24\) \(7.714\) None \(0\) \(4\) \(-4\) \(0\)
966.2.h.b \(24\) \(7.714\) None \(0\) \(4\) \(4\) \(0\)
966.2.i.a \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(-4\) \(-5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.b \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.c \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(-1\) \(-1\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.d \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(3\) \(-5\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.e \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(-3\) \(1\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.f \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(0\) \(-1\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.g \(2\) \(7.714\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(3\) \(5\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
966.2.i.h \(4\) \(7.714\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(-2\) \(-2\) \(2\) \(-2\) \(q+\beta _{2}q^{2}+(-1-\beta _{2})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots\)
966.2.i.i \(4\) \(7.714\) \(\Q(\sqrt{-3}, \sqrt{17})\) None \(2\) \(-2\) \(1\) \(2\) \(q+\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
966.2.i.j \(4\) \(7.714\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(2\) \(-2\) \(2\) \(-2\) \(q+(1+\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
966.2.i.k \(6\) \(7.714\) 6.0.29428272.1 None \(3\) \(3\) \(-3\) \(-3\) \(q+(1+\beta _{3})q^{2}-\beta _{3}q^{3}+\beta _{3}q^{4}+(-1+\cdots)q^{5}+\cdots\)
966.2.i.l \(8\) \(7.714\) 8.0.1768034304.4 None \(-4\) \(-4\) \(4\) \(0\) \(q+(-1-\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
966.2.i.m \(8\) \(7.714\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-4\) \(4\) \(-2\) \(6\) \(q+(-1-\beta _{1})q^{2}-\beta _{1}q^{3}+\beta _{1}q^{4}+(-1+\cdots)q^{5}+\cdots\)
966.2.i.n \(8\) \(7.714\) 8.0.\(\cdots\).2 None \(4\) \(4\) \(-2\) \(0\) \(q+(1+\beta _{5})q^{2}-\beta _{5}q^{3}+\beta _{5}q^{4}-\beta _{1}q^{5}+\cdots\)
966.2.j.a \(128\) \(7.714\) None \(0\) \(0\) \(0\) \(0\)
966.2.k.a \(32\) \(7.714\) None \(-16\) \(0\) \(0\) \(0\)
966.2.k.b \(32\) \(7.714\) None \(16\) \(0\) \(0\) \(0\)
966.2.l.a \(4\) \(7.714\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(2\) \(q+(\zeta_{12}-\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{3})q^{3}+\cdots\)
966.2.l.b \(4\) \(7.714\) \(\Q(\zeta_{12})\) None \(0\) \(6\) \(0\) \(-10\) \(q+(-\zeta_{12}+\zeta_{12}^{3})q^{2}+(1+\zeta_{12}^{2})q^{3}+\cdots\)
966.2.l.c \(56\) \(7.714\) None \(0\) \(-6\) \(0\) \(20\)
966.2.l.d \(56\) \(7.714\) None \(0\) \(0\) \(0\) \(8\)
966.2.q.a \(10\) \(7.714\) \(\Q(\zeta_{22})\) None \(-1\) \(-1\) \(-14\) \(1\) \(q+\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots\)
966.2.q.b \(10\) \(7.714\) \(\Q(\zeta_{22})\) None \(-1\) \(-1\) \(2\) \(1\) \(q+\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots\)
966.2.q.c \(10\) \(7.714\) \(\Q(\zeta_{22})\) None \(1\) \(-1\) \(0\) \(-1\) \(q-\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots\)
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