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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
950.2.a.a \(1\) \(7.586\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
950.2.a.b \(1\) \(7.586\) \(\Q\) None \(-1\) \(1\) \(0\) \(-3\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\cdots\)
950.2.a.c \(1\) \(7.586\) \(\Q\) None \(-1\) \(3\) \(0\) \(5\) \(-\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}+5q^{7}-q^{8}+\cdots\)
950.2.a.d \(1\) \(7.586\) \(\Q\) None \(1\) \(-1\) \(0\) \(1\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots\)
950.2.a.e \(1\) \(7.586\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
950.2.a.f \(2\) \(7.586\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(6\) \(-\) \(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
950.2.a.g \(2\) \(7.586\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(0\) \(-6\) \(+\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
950.2.a.h \(2\) \(7.586\) \(\Q(\sqrt{17}) \) None \(2\) \(1\) \(0\) \(1\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+\beta q^{7}+q^{8}+\cdots\)
950.2.a.i \(3\) \(7.586\) 3.3.568.1 None \(-3\) \(-2\) \(0\) \(-4\) \(+\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.a.j \(3\) \(7.586\) 3.3.993.1 None \(-3\) \(-2\) \(0\) \(-2\) \(-\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.a.k \(3\) \(7.586\) 3.3.257.1 None \(-3\) \(-2\) \(0\) \(-2\) \(-\) \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(1+\cdots)q^{6}+\cdots\)
950.2.a.l \(3\) \(7.586\) 3.3.993.1 None \(3\) \(2\) \(0\) \(2\) \(-\) \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1})q^{6}+\cdots\)
950.2.a.m \(3\) \(7.586\) 3.3.257.1 None \(3\) \(2\) \(0\) \(2\) \(-\) \(q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.a.n \(3\) \(7.586\) 3.3.568.1 None \(3\) \(2\) \(0\) \(4\) \(-\) \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1})q^{6}+\cdots\)
950.2.b.a \(2\) \(7.586\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-5iq^{7}+\cdots\)
950.2.b.b \(2\) \(7.586\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+iq^{7}-iq^{8}+\cdots\)
950.2.b.c \(2\) \(7.586\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+3iq^{7}+\cdots\)
950.2.b.d \(2\) \(7.586\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}-iq^{7}+iq^{8}+\cdots\)
950.2.b.e \(2\) \(7.586\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{7}+iq^{8}+\cdots\)
950.2.b.f \(4\) \(7.586\) \(\Q(i, \sqrt{17})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}+(1-\beta _{3})q^{6}+\cdots\)
950.2.b.g \(6\) \(7.586\) 6.0.4227136.2 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}+(\beta _{1}-\beta _{3}-\beta _{4})q^{3}-q^{4}+\cdots\)
950.2.b.h \(6\) \(7.586\) 6.0.63107136.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+(\beta _{1}-\beta _{3})q^{3}-q^{4}+(1-\beta _{2}+\cdots)q^{6}+\cdots\)
950.2.e.a \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(-4\) \(q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
950.2.e.b \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(0\) \(-4\) \(q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
950.2.e.c \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(0\) \(8\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+4q^{7}+q^{8}+\cdots\)
950.2.e.d \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(0\) \(8\) \(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
950.2.e.e \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(-8\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-4q^{7}-q^{8}+\cdots\)
950.2.e.f \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(0\) \(-2\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{7}-q^{8}+3\zeta_{6}q^{9}+\cdots\)
950.2.e.g \(2\) \(7.586\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(0\) \(4\) \(q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
950.2.e.h \(4\) \(7.586\) \(\Q(\sqrt{-3}, \sqrt{17})\) None \(-2\) \(-1\) \(0\) \(-10\) \(q-\beta _{2}q^{2}-\beta _{1}q^{3}+(-1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.e.i \(4\) \(7.586\) \(\Q(\sqrt{-3}, \sqrt{-7})\) None \(-2\) \(1\) \(0\) \(-4\) \(q+(-1-\beta _{1})q^{2}+\beta _{3}q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
950.2.e.j \(4\) \(7.586\) \(\Q(\sqrt{-3}, \sqrt{-7})\) None \(2\) \(-1\) \(0\) \(4\) \(q+(1+\beta _{1})q^{2}-\beta _{3}q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
950.2.e.k \(4\) \(7.586\) \(\Q(\sqrt{-3}, \sqrt{7})\) None \(2\) \(0\) \(0\) \(-4\) \(q+(1+\beta _{2})q^{2}+\beta _{1}q^{3}+\beta _{2}q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.e.l \(8\) \(7.586\) 8.0.\(\cdots\).1 None \(-4\) \(1\) \(0\) \(12\) \(q+\beta _{5}q^{2}+\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.e.m \(8\) \(7.586\) 8.0.\(\cdots\).1 None \(4\) \(-1\) \(0\) \(-12\) \(q-\beta _{5}q^{2}-\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.e.n \(10\) \(7.586\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(-5\) \(0\) \(0\) \(-10\) \(q+\beta _{5}q^{2}+\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.e.o \(10\) \(7.586\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None \(5\) \(0\) \(0\) \(10\) \(q-\beta _{5}q^{2}-\beta _{1}q^{3}+(-1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.f.a \(4\) \(7.586\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(4\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{2})q^{7}+\cdots\)
950.2.f.b \(8\) \(7.586\) 8.0.3317760000.4 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-\beta _{5}q^{3}-\beta _{2}q^{4}+q^{6}+\beta _{3}q^{7}+\cdots\)
950.2.f.c \(16\) \(7.586\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(-8\) \(q-\beta _{9}q^{2}+\beta _{13}q^{3}+\beta _{1}q^{4}+\beta _{2}q^{6}+\cdots\)
950.2.f.d \(32\) \(7.586\) None \(0\) \(0\) \(0\) \(0\)
950.2.h.a \(4\) \(7.586\) \(\Q(\zeta_{10})\) None \(1\) \(4\) \(5\) \(-12\) \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(2+\cdots)q^{3}+\cdots\)
950.2.h.b \(40\) \(7.586\) None \(-10\) \(5\) \(0\) \(-12\)
950.2.h.c \(44\) \(7.586\) None \(-11\) \(1\) \(-1\) \(18\)
950.2.h.d \(44\) \(7.586\) None \(11\) \(-1\) \(-11\) \(-10\)
950.2.h.e \(44\) \(7.586\) None \(11\) \(-1\) \(-5\) \(28\)
950.2.j.a \(4\) \(7.586\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{6}+\cdots\)
950.2.j.b \(4\) \(7.586\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{6}+\cdots\)
950.2.j.c \(4\) \(7.586\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+4\zeta_{12}^{3}q^{7}+\cdots\)
950.2.j.d \(4\) \(7.586\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{7}-\zeta_{12}^{3}q^{8}+\cdots\)
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