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Results (displaying all 16 matches)

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4004.2.a.a \(1\) \(31.972\) \(\Q\) None \(0\) \(-2\) \(0\) \(1\) \(-\) \(q-2q^{3}+q^{7}+q^{9}-q^{11}+q^{13}+6q^{17}+\cdots\)
4004.2.a.b \(1\) \(31.972\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-1\) \(+\) \(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
4004.2.a.c \(1\) \(31.972\) \(\Q\) None \(0\) \(2\) \(4\) \(1\) \(-\) \(q+2q^{3}+4q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
4004.2.a.d \(4\) \(31.972\) 4.4.3981.1 None \(0\) \(-3\) \(-1\) \(4\) \(+\) \(q+(-1-\beta _{3})q^{3}+(\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots\)
4004.2.a.e \(4\) \(31.972\) \(\Q(\zeta_{15})^+\) None \(0\) \(1\) \(1\) \(-4\) \(+\) \(q+(-\beta _{2}-\beta _{3})q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
4004.2.a.f \(5\) \(31.972\) 5.5.463341.1 None \(0\) \(3\) \(0\) \(-5\) \(+\) \(q+(1-\beta _{1})q^{3}-\beta _{2}q^{5}-q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
4004.2.a.g \(6\) \(31.972\) 6.6.246302029.1 None \(0\) \(-2\) \(-3\) \(6\) \(+\) \(q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4004.2.a.h \(9\) \(31.972\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(0\) \(9\) \(-\) \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+q^{7}+(2+\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
4004.2.a.i \(9\) \(31.972\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(4\) \(4\) \(9\) \(-\) \(q+\beta _{1}q^{3}-\beta _{7}q^{5}+q^{7}+(1+\beta _{3}+\beta _{4}+\cdots)q^{9}+\cdots\)
4004.2.a.j \(10\) \(31.972\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(-2\) \(-10\) \(-\) \(q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
4004.2.a.k \(10\) \(31.972\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(1\) \(4\) \(-10\) \(-\) \(q+\beta _{1}q^{3}-\beta _{4}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)
4004.2.e.a \(48\) \(31.972\) None \(0\) \(0\) \(0\) \(-4\)
4004.2.e.b \(48\) \(31.972\) None \(0\) \(0\) \(0\) \(4\)
4004.2.m.a \(2\) \(31.972\) \(\Q(\sqrt{-1}) \) None \(0\) \(4\) \(0\) \(0\) \(q+2q^{3}+iq^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
4004.2.m.b \(30\) \(31.972\) None \(0\) \(0\) \(0\) \(0\)
4004.2.m.c \(36\) \(31.972\) None \(0\) \(-4\) \(0\) \(0\)


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