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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1050.2.a.a \(1\) \(8.384\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
1050.2.a.b \(1\) \(8.384\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-1\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
1050.2.a.c \(1\) \(8.384\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
1050.2.a.d \(1\) \(8.384\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
1050.2.a.e \(1\) \(8.384\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
1050.2.a.f \(1\) \(8.384\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
1050.2.a.g \(1\) \(8.384\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
1050.2.a.h \(1\) \(8.384\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
1050.2.a.i \(1\) \(8.384\) \(\Q\) None \(-1\) \(1\) \(0\) \(1\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
1050.2.a.j \(1\) \(8.384\) \(\Q\) None \(-1\) \(1\) \(0\) \(1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
1050.2.a.k \(1\) \(8.384\) \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
1050.2.a.l \(1\) \(8.384\) \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
1050.2.a.m \(1\) \(8.384\) \(\Q\) None \(1\) \(-1\) \(0\) \(1\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
1050.2.a.n \(1\) \(8.384\) \(\Q\) None \(1\) \(-1\) \(0\) \(1\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
1050.2.a.o \(1\) \(8.384\) \(\Q\) None \(1\) \(1\) \(0\) \(-1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
1050.2.a.p \(1\) \(8.384\) \(\Q\) None \(1\) \(1\) \(0\) \(-1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
1050.2.a.q \(1\) \(8.384\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
1050.2.a.r \(1\) \(8.384\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
1050.2.b.a \(4\) \(8.384\) \(\Q(i, \sqrt{5})\) None \(0\) \(-2\) \(0\) \(-6\) \(q+\beta _{2}q^{2}+(-1+\beta _{3})q^{3}-q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
1050.2.b.b \(4\) \(8.384\) \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(0\) \(4\) \(q-\beta _{2}q^{2}-\beta _{3}q^{3}-q^{4}-\beta _{1}q^{6}+(1+\cdots)q^{7}+\cdots\)
1050.2.b.c \(4\) \(8.384\) \(\Q(i, \sqrt{5})\) None \(0\) \(2\) \(0\) \(-6\) \(q+\beta _{2}q^{2}+(1-\beta _{3})q^{3}-q^{4}+(\beta _{1}+\beta _{2}+\cdots)q^{6}+\cdots\)
1050.2.b.d \(12\) \(8.384\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(-4\) \(q-\beta _{4}q^{2}-\beta _{9}q^{3}-q^{4}+\beta _{8}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1050.2.b.e \(12\) \(8.384\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(4\) \(q+\beta _{4}q^{2}-\beta _{9}q^{3}-q^{4}-\beta _{8}q^{6}+(\beta _{7}+\cdots)q^{7}+\cdots\)
1050.2.b.f \(16\) \(8.384\) 16.0.\(\cdots\).7 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{10}q^{2}-\beta _{7}q^{3}-q^{4}-\beta _{2}q^{6}+\beta _{9}q^{7}+\cdots\)
1050.2.d.a \(4\) \(8.384\) \(\Q(i, \sqrt{5})\) None \(-4\) \(-2\) \(0\) \(6\) \(q-q^{2}+(-\beta _{2}-\beta _{3})q^{3}+q^{4}+(\beta _{2}+\beta _{3})q^{6}+\cdots\)
1050.2.d.b \(4\) \(8.384\) \(\Q(i, \sqrt{6})\) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{3}q^{3}+q^{4}+\beta _{3}q^{6}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
1050.2.d.c \(4\) \(8.384\) \(\Q(i, \sqrt{5})\) None \(-4\) \(2\) \(0\) \(-6\) \(q-q^{2}+(\beta _{2}+\beta _{3})q^{3}+q^{4}+(-\beta _{2}-\beta _{3})q^{6}+\cdots\)
1050.2.d.d \(4\) \(8.384\) \(\Q(i, \sqrt{5})\) None \(4\) \(-2\) \(0\) \(6\) \(q+q^{2}+(-\beta _{2}-\beta _{3})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
1050.2.d.e \(4\) \(8.384\) \(\Q(i, \sqrt{6})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+\beta _{3}q^{3}+q^{4}+\beta _{3}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1050.2.d.f \(4\) \(8.384\) \(\Q(i, \sqrt{5})\) None \(4\) \(2\) \(0\) \(-6\) \(q+q^{2}+(\beta _{2}+\beta _{3})q^{3}+q^{4}+(\beta _{2}+\beta _{3})q^{6}+\cdots\)
1050.2.d.g \(12\) \(8.384\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(-12\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{10}q^{3}+q^{4}-\beta _{10}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1050.2.d.h \(12\) \(8.384\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(12\) \(0\) \(0\) \(0\) \(q+q^{2}-\beta _{10}q^{3}+q^{4}-\beta _{10}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots\)
1050.2.g.a \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}-iq^{7}-iq^{8}+\cdots\)
1050.2.g.b \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}-iq^{7}+iq^{8}+\cdots\)
1050.2.g.c \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots\)
1050.2.g.d \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}-iq^{7}+iq^{8}+\cdots\)
1050.2.g.e \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}-iq^{7}-iq^{8}+\cdots\)
1050.2.g.f \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}-iq^{7}+iq^{8}+\cdots\)
1050.2.g.g \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{7}+iq^{8}+\cdots\)
1050.2.g.h \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}-iq^{7}+iq^{8}+\cdots\)
1050.2.g.i \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}-iq^{7}+iq^{8}+\cdots\)
1050.2.g.j \(2\) \(8.384\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{7}+iq^{8}+\cdots\)
1050.2.i.a \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(-5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.b \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(-4\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.c \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.d \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(5\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.e \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(-5\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.f \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(-4\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.g \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(1\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
1050.2.i.h \(2\) \(8.384\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(1\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
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