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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1110.2.a.a \(1\) \(8.863\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(-4\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-4q^{7}+\cdots\)
1110.2.a.b \(1\) \(8.863\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
1110.2.a.c \(1\) \(8.863\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(3\) \(+\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots\)
1110.2.a.d \(1\) \(8.863\) \(\Q\) None \(-1\) \(-1\) \(1\) \(3\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots\)
1110.2.a.e \(1\) \(8.863\) \(\Q\) None \(-1\) \(1\) \(-1\) \(-1\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
1110.2.a.f \(1\) \(8.863\) \(\Q\) None \(-1\) \(1\) \(-1\) \(1\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
1110.2.a.g \(1\) \(8.863\) \(\Q\) None \(-1\) \(1\) \(-1\) \(4\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots\)
1110.2.a.h \(1\) \(8.863\) \(\Q\) None \(-1\) \(1\) \(1\) \(-4\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots\)
1110.2.a.i \(1\) \(8.863\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
1110.2.a.j \(1\) \(8.863\) \(\Q\) None \(1\) \(-1\) \(1\) \(-3\) \(+\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots\)
1110.2.a.k \(1\) \(8.863\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
1110.2.a.l \(1\) \(8.863\) \(\Q\) None \(1\) \(-1\) \(1\) \(3\) \(-\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
1110.2.a.m \(1\) \(8.863\) \(\Q\) None \(1\) \(1\) \(-1\) \(-5\) \(+\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-5q^{7}+\cdots\)
1110.2.a.n \(1\) \(8.863\) \(\Q\) None \(1\) \(1\) \(-1\) \(-1\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
1110.2.a.o \(1\) \(8.863\) \(\Q\) None \(1\) \(1\) \(-1\) \(4\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\cdots\)
1110.2.a.p \(2\) \(8.863\) \(\Q(\sqrt{33}) \) None \(-2\) \(-2\) \(2\) \(-1\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-\beta q^{7}+\cdots\)
1110.2.a.q \(2\) \(8.863\) \(\Q(\sqrt{113}) \) None \(-2\) \(2\) \(2\) \(6\) \(-\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
1110.2.a.r \(2\) \(8.863\) \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(-2\) \(-2\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
1110.2.a.s \(4\) \(8.863\) 4.4.54764.1 None \(4\) \(4\) \(4\) \(4\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
1110.2.d.a \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}+(-2-i)q^{5}+\cdots\)
1110.2.d.b \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+(-1+2i)q^{5}+\cdots\)
1110.2.d.c \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}+(1-2i)q^{5}+q^{6}+\cdots\)
1110.2.d.d \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}-q^{6}+\cdots\)
1110.2.d.e \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+(2-i)q^{5}+q^{6}+\cdots\)
1110.2.d.f \(4\) \(8.863\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}+\beta _{2}q^{5}-q^{6}+\cdots\)
1110.2.d.g \(4\) \(8.863\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{2}q^{3}-q^{4}+(-\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots\)
1110.2.d.h \(4\) \(8.863\) \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(4\) \(0\) \(q+\beta _{2}q^{2}-\beta _{2}q^{3}-q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+\cdots\)
1110.2.d.i \(6\) \(8.863\) 6.0.5161984.1 None \(0\) \(0\) \(2\) \(0\) \(q-\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
1110.2.d.j \(8\) \(8.863\) 8.0.\(\cdots\).2 None \(0\) \(0\) \(-2\) \(0\) \(q-\beta _{3}q^{2}-\beta _{3}q^{3}-q^{4}+(\beta _{1}+\beta _{5})q^{5}+\cdots\)
1110.2.e.a \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(4\) \(0\) \(q-q^{2}-iq^{3}+q^{4}+(2-i)q^{5}+iq^{6}+\cdots\)
1110.2.e.b \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(-4\) \(0\) \(q+q^{2}-iq^{3}+q^{4}+(-2+i)q^{5}-iq^{6}+\cdots\)
1110.2.e.c \(16\) \(8.863\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-16\) \(0\) \(-2\) \(0\) \(q-q^{2}+\beta _{7}q^{3}+q^{4}-\beta _{11}q^{5}-\beta _{7}q^{6}+\cdots\)
1110.2.e.d \(16\) \(8.863\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(0\) \(2\) \(0\) \(q+q^{2}+\beta _{7}q^{3}+q^{4}+\beta _{11}q^{5}+\beta _{7}q^{6}+\cdots\)
1110.2.h.a \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(-2\) \(q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}-q^{7}+\cdots\)
1110.2.h.b \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(4\) \(q+iq^{2}-q^{3}-q^{4}+iq^{5}-iq^{6}+2q^{7}+\cdots\)
1110.2.h.c \(2\) \(8.863\) \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(2\) \(q+iq^{2}+q^{3}-q^{4}+iq^{5}+iq^{6}+q^{7}+\cdots\)
1110.2.h.d \(4\) \(8.863\) \(\Q(i, \sqrt{73})\) None \(0\) \(-4\) \(0\) \(-4\) \(q-\beta _{2}q^{2}-q^{3}-q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots\)
1110.2.h.e \(4\) \(8.863\) \(\Q(i, \sqrt{33})\) None \(0\) \(-4\) \(0\) \(2\) \(q+\beta _{2}q^{2}-q^{3}-q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
1110.2.h.f \(6\) \(8.863\) 6.0.279290944.1 None \(0\) \(6\) \(0\) \(-6\) \(q+\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots\)
1110.2.h.g \(8\) \(8.863\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(8\) \(0\) \(-4\) \(q-\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
1110.2.i.a \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-1\) \(1\) \(4\) \(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.b \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(-1\) \(1\) \(-1\) \(-3\) \(q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
1110.2.i.c \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(-1\) \(-2\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
1110.2.i.d \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(1\) \(-1\) \(1\) \(1\) \(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.e \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(-1\) \(3\) \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
1110.2.i.f \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(1\) \(-2\) \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.g \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(1\) \(0\) \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.h \(2\) \(8.863\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(1\) \(5\) \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
1110.2.i.i \(4\) \(8.863\) \(\Q(\sqrt{-3}, \sqrt{145})\) None \(-2\) \(-2\) \(2\) \(-2\) \(q+(-1+\beta _{2})q^{2}-\beta _{2}q^{3}-\beta _{2}q^{4}+\beta _{2}q^{5}+\cdots\)
1110.2.i.j \(4\) \(8.863\) \(\Q(\sqrt{-3}, \sqrt{73})\) None \(-2\) \(2\) \(-2\) \(0\) \(q-\beta _{2}q^{2}+(1-\beta _{2})q^{3}+(-1+\beta _{2})q^{4}+\cdots\)
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