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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1210.2.a.a \(1\) \(9.662\) \(\Q\) None \(-1\) \(-3\) \(-1\) \(-5\) \(+\) \(q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-5q^{7}+\cdots\)
1210.2.a.b \(1\) \(9.662\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-3\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
1210.2.a.c \(1\) \(9.662\) \(\Q\) None \(-1\) \(-1\) \(1\) \(3\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
1210.2.a.d \(1\) \(9.662\) \(\Q\) None \(-1\) \(-1\) \(1\) \(3\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
1210.2.a.e \(1\) \(9.662\) \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
1210.2.a.f \(1\) \(9.662\) \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
1210.2.a.g \(1\) \(9.662\) \(\Q\) None \(-1\) \(2\) \(-1\) \(0\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
1210.2.a.h \(1\) \(9.662\) \(\Q\) None \(1\) \(-3\) \(-1\) \(5\) \(-\) \(q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+5q^{7}+\cdots\)
1210.2.a.i \(1\) \(9.662\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
1210.2.a.j \(1\) \(9.662\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
1210.2.a.k \(1\) \(9.662\) \(\Q\) None \(1\) \(1\) \(-1\) \(-5\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-5q^{7}+\cdots\)
1210.2.a.l \(1\) \(9.662\) \(\Q\) None \(1\) \(1\) \(1\) \(1\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
1210.2.a.m \(1\) \(9.662\) \(\Q\) None \(1\) \(2\) \(-1\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots\)
1210.2.a.n \(2\) \(9.662\) \(\Q(\sqrt{5}) \) None \(-2\) \(-3\) \(-2\) \(0\) \(+\) \(q-q^{2}+(-1-\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots\)
1210.2.a.o \(2\) \(9.662\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(2\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(1+\cdots)q^{7}+\cdots\)
1210.2.a.p \(2\) \(9.662\) \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(-2\) \(-3\) \(-\) \(q-q^{2}+2\beta q^{3}+q^{4}-q^{5}-2\beta q^{6}+\cdots\)
1210.2.a.q \(2\) \(9.662\) \(\Q(\sqrt{5}) \) None \(2\) \(-3\) \(-2\) \(0\) \(+\) \(q+q^{2}+(-1-\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
1210.2.a.r \(2\) \(9.662\) \(\Q(\sqrt{33}) \) None \(2\) \(-1\) \(2\) \(-1\) \(-\) \(q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
1210.2.a.s \(2\) \(9.662\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(-2\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
1210.2.a.t \(2\) \(9.662\) \(\Q(\sqrt{5}) \) None \(2\) \(2\) \(-2\) \(3\) \(-\) \(q+q^{2}+2\beta q^{3}+q^{4}-q^{5}+2\beta q^{6}+\cdots\)
1210.2.a.u \(4\) \(9.662\) 4.4.5225.1 None \(-4\) \(3\) \(4\) \(-3\) \(-\) \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
1210.2.a.v \(4\) \(9.662\) 4.4.5225.1 None \(4\) \(3\) \(4\) \(3\) \(-\) \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
1210.2.b.a \(2\) \(9.662\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+(-2+i)q^{5}+\cdots\)
1210.2.b.b \(2\) \(9.662\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{2}+3iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
1210.2.b.c \(2\) \(9.662\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}+3iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
1210.2.b.d \(2\) \(9.662\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}+2iq^{3}-q^{4}+(1+2i)q^{5}+\cdots\)
1210.2.b.e \(2\) \(9.662\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q-iq^{2}+3iq^{3}-q^{4}+(2-i)q^{5}+3q^{6}+\cdots\)
1210.2.b.f \(4\) \(9.662\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(-8\) \(0\) \(q-\beta _{3}q^{2}+2\beta _{1}q^{3}-q^{4}+(-2-\beta _{3})q^{5}+\cdots\)
1210.2.b.g \(4\) \(9.662\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(-8\) \(0\) \(q+\beta _{3}q^{2}+2\beta _{1}q^{3}-q^{4}+(-2-\beta _{3})q^{5}+\cdots\)
1210.2.b.h \(4\) \(9.662\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{2}q^{3}-q^{4}-\beta _{2}q^{5}-\beta _{3}q^{6}+\cdots\)
1210.2.b.i \(4\) \(9.662\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{12}^{3}q^{2}+(1-2\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots\)
1210.2.b.j \(4\) \(9.662\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{12}^{3}q^{2}+(1-2\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots\)
1210.2.b.k \(8\) \(9.662\) 8.0.\(\cdots\).1 None \(0\) \(0\) \(2\) \(0\) \(q-\beta _{3}q^{2}+(-\beta _{3}+\beta _{4})q^{3}-q^{4}+(1+\cdots)q^{5}+\cdots\)
1210.2.b.l \(8\) \(9.662\) 8.0.\(\cdots\).1 None \(0\) \(0\) \(2\) \(0\) \(q+\beta _{3}q^{2}+(-\beta _{3}+\beta _{4})q^{3}-q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
1210.2.b.m \(8\) \(9.662\) 8.0.303595776.1 None \(0\) \(0\) \(6\) \(0\) \(q-\beta _{5}q^{2}+(\beta _{2}-\beta _{4}+\beta _{6})q^{3}-q^{4}+\cdots\)
1210.3.d.a \(4\) \(32.970\) \(\Q(\sqrt{-2}, \sqrt{5})\) None \(0\) \(-4\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-1-\beta _{3})q^{3}-2q^{4}+\beta _{3}q^{5}+\cdots\)
1210.3.d.b \(4\) \(32.970\) \(\Q(\sqrt{-2}, \sqrt{5})\) None \(0\) \(4\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(1-\beta _{3})q^{3}-2q^{4}-\beta _{3}q^{5}+\cdots\)
1210.3.d.c \(16\) \(32.970\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-16\) \(0\) \(0\) \(q-\beta _{9}q^{2}+(-1+\beta _{2}-\beta _{3}+\beta _{4})q^{3}+\cdots\)
1210.3.d.d \(16\) \(32.970\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(-4\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{5}+\beta _{6})q^{3}-2q^{4}-\beta _{2}q^{5}+\cdots\)
1210.3.d.e \(16\) \(32.970\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(4\) \(0\) \(0\) \(q-\beta _{1}q^{2}+\beta _{4}q^{3}-2q^{4}+\beta _{10}q^{5}+\cdots\)
1210.3.d.f \(16\) \(32.970\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(24\) \(0\) \(0\) \(q+\beta _{7}q^{2}+(1+\beta _{9})q^{3}-2q^{4}+(-1+\cdots)q^{5}+\cdots\)
1210.4.a.a \(1\) \(71.392\) \(\Q\) None \(-2\) \(-8\) \(-5\) \(-26\) \(-\) \(q-2q^{2}-8q^{3}+4q^{4}-5q^{5}+2^{4}q^{6}+\cdots\)
1210.4.a.b \(1\) \(71.392\) \(\Q\) None \(-2\) \(-8\) \(5\) \(4\) \(+\) \(q-2q^{2}-8q^{3}+4q^{4}+5q^{5}+2^{4}q^{6}+\cdots\)
1210.4.a.c \(1\) \(71.392\) \(\Q\) None \(-2\) \(-5\) \(-5\) \(11\) \(+\) \(q-2q^{2}-5q^{3}+4q^{4}-5q^{5}+10q^{6}+\cdots\)
1210.4.a.d \(1\) \(71.392\) \(\Q\) None \(-2\) \(-4\) \(-5\) \(22\) \(-\) \(q-2q^{2}-4q^{3}+4q^{4}-5q^{5}+8q^{6}+\cdots\)
1210.4.a.e \(1\) \(71.392\) \(\Q\) None \(-2\) \(1\) \(5\) \(-23\) \(+\) \(q-2q^{2}+q^{3}+4q^{4}+5q^{5}-2q^{6}+\cdots\)
1210.4.a.f \(1\) \(71.392\) \(\Q\) None \(-2\) \(2\) \(-5\) \(-24\) \(+\) \(q-2q^{2}+2q^{3}+4q^{4}-5q^{5}-4q^{6}+\cdots\)
1210.4.a.g \(1\) \(71.392\) \(\Q\) None \(-2\) \(7\) \(-5\) \(-11\) \(-\) \(q-2q^{2}+7q^{3}+4q^{4}-5q^{5}-14q^{6}+\cdots\)
1210.4.a.h \(1\) \(71.392\) \(\Q\) None \(-2\) \(8\) \(5\) \(12\) \(+\) \(q-2q^{2}+8q^{3}+4q^{4}+5q^{5}-2^{4}q^{6}+\cdots\)
1210.4.a.i \(1\) \(71.392\) \(\Q\) None \(2\) \(-7\) \(5\) \(35\) \(-\) \(q+2q^{2}-7q^{3}+4q^{4}+5q^{5}-14q^{6}+\cdots\)
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