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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
882.2.a.a \(1\) \(7.043\) \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) \(+\) \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+3q^{11}+\cdots\)
882.2.a.b \(1\) \(7.043\) \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) \(+\) \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+4q^{11}+\cdots\)
882.2.a.c \(1\) \(7.043\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-5q^{11}+\cdots\)
882.2.a.d \(1\) \(7.043\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-5q^{11}+\cdots\)
882.2.a.e \(1\) \(7.043\) \(\Q\) None \(-1\) \(0\) \(3\) \(0\) \(-\) \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{11}+\cdots\)
882.2.a.f \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(-4\) \(0\) \(-\) \(q+q^{2}+q^{4}-4q^{5}+q^{8}-4q^{10}+4q^{11}+\cdots\)
882.2.a.g \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(-3\) \(0\) \(+\) \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-3q^{11}+\cdots\)
882.2.a.h \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(-3\) \(0\) \(+\) \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-3q^{11}+\cdots\)
882.2.a.i \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{8}+4q^{13}+q^{16}+6q^{17}+\cdots\)
882.2.a.j \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(3\) \(0\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-3q^{11}+\cdots\)
882.2.a.k \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(3\) \(0\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-3q^{11}+\cdots\)
882.2.a.l \(1\) \(7.043\) \(\Q\) None \(1\) \(0\) \(4\) \(0\) \(-\) \(q+q^{2}+q^{4}+4q^{5}+q^{8}+4q^{10}+4q^{11}+\cdots\)
882.2.a.m \(2\) \(7.043\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}-4q^{11}+\cdots\)
882.2.a.n \(2\) \(7.043\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{4}+2\beta q^{5}-q^{8}-2\beta q^{10}+\cdots\)
882.2.a.o \(2\) \(7.043\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+4q^{11}+\cdots\)
882.2.d.a \(8\) \(7.043\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-q^{4}+(-\zeta_{24}^{3}-\zeta_{24}^{4}+\cdots)q^{5}+\cdots\)
882.2.d.b \(8\) \(7.043\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}-q^{4}-\zeta_{16}^{5}q^{5}+\zeta_{16}q^{8}+\cdots\)
882.2.e.a \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-3\) \(-2\) \(0\) \(q-q^{2}+(-2+\zeta_{6})q^{3}+q^{4}+(-2+2\zeta_{6})q^{5}+\cdots\)
882.2.e.b \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-3\) \(3\) \(0\) \(q-q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(3-3\zeta_{6})q^{5}+\cdots\)
882.2.e.c \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(3\) \(0\) \(q-q^{2}+(1-2\zeta_{6})q^{3}+q^{4}+(3-3\zeta_{6})q^{5}+\cdots\)
882.2.e.d \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-2\) \(3\) \(-3\) \(0\) \(q-q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(-3+3\zeta_{6})q^{5}+\cdots\)
882.2.e.e \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-2\) \(3\) \(2\) \(0\) \(q-q^{2}+(2-\zeta_{6})q^{3}+q^{4}+(2-2\zeta_{6})q^{5}+\cdots\)
882.2.e.f \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(2\) \(-3\) \(-1\) \(0\) \(q+q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
882.2.e.g \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(2\) \(-3\) \(0\) \(0\) \(q+q^{2}+(-2+\zeta_{6})q^{3}+q^{4}+(-2+\zeta_{6})q^{6}+\cdots\)
882.2.e.h \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(2\) \(0\) \(-3\) \(0\) \(q+q^{2}+(1-2\zeta_{6})q^{3}+q^{4}+(-3+3\zeta_{6})q^{5}+\cdots\)
882.2.e.i \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(2\) \(3\) \(0\) \(0\) \(q+q^{2}+(2-\zeta_{6})q^{3}+q^{4}+(2-\zeta_{6})q^{6}+\cdots\)
882.2.e.j \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(2\) \(3\) \(1\) \(0\) \(q+q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
882.2.e.k \(4\) \(7.043\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(-2\) \(3\) \(0\) \(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
882.2.e.l \(4\) \(7.043\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(-4\) \(2\) \(-3\) \(0\) \(q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(1-2\beta _{1}+\cdots)q^{5}+\cdots\)
882.2.e.m \(4\) \(7.043\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(4\) \(-2\) \(-2\) \(0\) \(q+q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+q^{4}+\cdots\)
882.2.e.n \(4\) \(7.043\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(4\) \(2\) \(2\) \(0\) \(q+q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
882.2.e.o \(6\) \(7.043\) 6.0.309123.1 None \(-6\) \(-2\) \(-1\) \(0\) \(q-q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
882.2.e.p \(6\) \(7.043\) 6.0.309123.1 None \(6\) \(2\) \(5\) \(0\) \(q+q^{2}+(-\beta _{3}+\beta _{4}+\beta _{5})q^{3}+q^{4}+\cdots\)
882.2.e.q \(8\) \(7.043\) \(\Q(\zeta_{24})\) None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+(\zeta_{24}^{3}+\zeta_{24}^{7})q^{3}+q^{4}-\zeta_{24}^{7}q^{5}+\cdots\)
882.2.e.r \(8\) \(7.043\) 8.0.\(\cdots\).2 None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}-\beta _{3}q^{3}+q^{4}+(-\beta _{5}-\beta _{6})q^{5}+\cdots\)
882.2.e.s \(8\) \(7.043\) \(\Q(\zeta_{24})\) None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}+(-\zeta_{24}^{3}+2\zeta_{24}^{5}+\zeta_{24}^{6}+\cdots)q^{3}+\cdots\)
882.2.e.t \(8\) \(7.043\) 8.0.3317760000.3 None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}+(\beta _{5}-\beta _{6})q^{3}+q^{4}+(2\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
882.2.f.a \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-3\) \(-3\) \(0\) \(q+(-1+\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.b \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.c \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(0\) \(q+(-1+\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.d \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-1\) \(3\) \(0\) \(0\) \(q+(-1+\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.e \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(-1\) \(3\) \(3\) \(0\) \(q+(-1+\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.f \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(1\) \(-3\) \(2\) \(0\) \(q+(1-\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.g \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(1\) \(-3\) \(3\) \(0\) \(q+(1-\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.h \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(1\) \(0\) \(-3\) \(0\) \(q+(1-\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.i \(2\) \(7.043\) \(\Q(\sqrt{-3}) \) None \(1\) \(3\) \(-3\) \(0\) \(q+(1-\zeta_{6})q^{2}+(2-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
882.2.f.j \(4\) \(7.043\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None \(-2\) \(-4\) \(2\) \(0\) \(q+(-1+\beta _{2})q^{2}+(-1-\beta _{3})q^{3}-\beta _{2}q^{4}+\cdots\)
882.2.f.k \(4\) \(7.043\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None \(2\) \(1\) \(3\) \(0\) \(q+(1-\beta _{2})q^{2}+(\beta _{2}+\beta _{3})q^{3}-\beta _{2}q^{4}+\cdots\)
882.2.f.l \(6\) \(7.043\) 6.0.309123.1 None \(-3\) \(-2\) \(-5\) \(0\) \(q+(-1-\beta _{4})q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
882.2.f.m \(6\) \(7.043\) 6.0.309123.1 None \(-3\) \(2\) \(5\) \(0\) \(q+(-1-\beta _{4})q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+\cdots\)
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