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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1890.2.a.a \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) \(-\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
1890.2.a.b \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
1890.2.a.c \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
1890.2.a.d \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
1890.2.a.e \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.f \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.g \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.h \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.i \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(-\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.j \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(+\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.k \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(-\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.l \(1\) \(15.092\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(-\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
1890.2.a.m \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(-1\) \(+\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.n \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(-1\) \(-\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.o \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(-1\) \(+\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.p \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(-1\) \(-\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.q \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(+\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.r \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(-\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.s \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(-\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.t \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(-\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
1890.2.a.u \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
1890.2.a.v \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
1890.2.a.w \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(1\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
1890.2.a.x \(1\) \(15.092\) \(\Q\) None \(1\) \(0\) \(1\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
1890.2.a.y \(2\) \(15.092\) \(\Q(\sqrt{97}) \) None \(-2\) \(0\) \(-2\) \(-2\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
1890.2.a.z \(2\) \(15.092\) \(\Q(\sqrt{73}) \) None \(-2\) \(0\) \(-2\) \(2\) \(-\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
1890.2.a.ba \(2\) \(15.092\) \(\Q(\sqrt{97}) \) None \(2\) \(0\) \(2\) \(-2\) \(-\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
1890.2.a.bb \(2\) \(15.092\) \(\Q(\sqrt{73}) \) None \(2\) \(0\) \(2\) \(2\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
1890.2.b.a \(8\) \(15.092\) 8.0.303595776.1 None \(0\) \(0\) \(-8\) \(0\) \(q-\beta _{4}q^{2}-q^{4}-q^{5}+(\beta _{1}-\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots\)
1890.2.b.b \(8\) \(15.092\) 8.0.303595776.1 None \(0\) \(0\) \(8\) \(0\) \(q-\beta _{4}q^{2}-q^{4}+q^{5}+(-\beta _{1}+\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots\)
1890.2.b.c \(12\) \(15.092\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(-12\) \(-4\) \(q-\beta _{5}q^{2}-q^{4}-q^{5}-\beta _{4}q^{7}+\beta _{5}q^{8}+\cdots\)
1890.2.b.d \(12\) \(15.092\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(12\) \(-4\) \(q-\beta _{5}q^{2}-q^{4}+q^{5}+\beta _{6}q^{7}+\beta _{5}q^{8}+\cdots\)
1890.2.d.a \(8\) \(15.092\) 8.0.303595776.1 None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+(-\beta _{3}-\beta _{5}+\beta _{7})q^{5}+\cdots\)
1890.2.d.b \(8\) \(15.092\) 8.0.\(\cdots\).2 None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+(-\beta _{1}-\beta _{3})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
1890.2.d.c \(8\) \(15.092\) 8.0.\(\cdots\).2 None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+(\beta _{1}-\beta _{3})q^{5}-\beta _{4}q^{7}+\cdots\)
1890.2.d.d \(8\) \(15.092\) 8.0.303595776.1 None \(8\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+(\beta _{1}+\beta _{3}-\beta _{5})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1890.2.d.e \(16\) \(15.092\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-16\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta _{15}q^{5}-\beta _{6}q^{7}-q^{8}+\cdots\)
1890.2.d.f \(16\) \(15.092\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{8}q^{5}-\beta _{11}q^{7}+q^{8}+\cdots\)
1890.2.g.a \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-q^{4}+(-2+i)q^{5}-iq^{7}+\cdots\)
1890.2.g.b \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-q^{4}+(-2-i)q^{5}+iq^{7}+\cdots\)
1890.2.g.c \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots\)
1890.2.g.d \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots\)
1890.2.g.e \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots\)
1890.2.g.f \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots\)
1890.2.g.g \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}-iq^{8}+\cdots\)
1890.2.g.h \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}-q^{4}+(1-2i)q^{5}-iq^{7}+iq^{8}+\cdots\)
1890.2.g.i \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}-q^{4}+(1+2i)q^{5}-iq^{7}-iq^{8}+\cdots\)
1890.2.g.j \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}-q^{4}+(1-2i)q^{5}+iq^{7}+iq^{8}+\cdots\)
1890.2.g.k \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+iq^{2}-q^{4}+(2+i)q^{5}+iq^{7}-iq^{8}+\cdots\)
1890.2.g.l \(2\) \(15.092\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+iq^{2}-q^{4}+(2-i)q^{5}-iq^{7}-iq^{8}+\cdots\)
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