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Results (displaying all 16 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2004.1.g.a \(1\) \(1.000\) \(\Q\) \(\Q(\sqrt{-167}) \), \(\Q(\sqrt{-501}) \) \(\Q(\sqrt{3}) \) \(-1\) \(-1\) \(0\) \(0\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
2004.1.g.b \(1\) \(1.000\) \(\Q\) \(\Q(\sqrt{-167}) \), \(\Q(\sqrt{-501}) \) \(\Q(\sqrt{3}) \) \(1\) \(1\) \(0\) \(0\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
2004.1.g.c \(2\) \(1.000\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-501}) \) None \(-2\) \(2\) \(0\) \(0\) \(q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{8}+\cdots\)
2004.1.g.d \(2\) \(1.000\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-501}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{8}+\cdots\)
2004.1.g.e \(10\) \(1.000\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-167}) \) None \(-1\) \(-1\) \(0\) \(0\) \(q+\zeta_{22}^{6}q^{2}+\zeta_{22}^{2}q^{3}-\zeta_{22}q^{4}+\zeta_{22}^{8}q^{6}+\cdots\)
2004.1.g.f \(10\) \(1.000\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-167}) \) None \(1\) \(1\) \(0\) \(0\) \(q-\zeta_{22}^{6}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}q^{4}+\zeta_{22}^{4}q^{6}+\cdots\)
2004.2.a.a \(5\) \(16.002\) 5.5.149169.1 None None \(0\) \(-5\) \(-3\) \(-2\) \(+\) \(q-q^{3}+(-\beta _{1}+\beta _{3}-\beta _{4})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
2004.2.a.b \(5\) \(16.002\) 5.5.161121.1 None None \(0\) \(5\) \(-7\) \(-2\) \(+\) \(q+q^{3}+(-1-\beta _{3}-\beta _{4})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
2004.2.a.c \(9\) \(16.002\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-9\) \(1\) \(2\) \(-\) \(q-q^{3}+\beta _{1}q^{5}+(-\beta _{3}-\beta _{6})q^{7}+q^{9}+\cdots\)
2004.2.a.d \(9\) \(16.002\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(9\) \(9\) \(2\) \(-\) \(q+q^{3}+(1-\beta _{1})q^{5}-\beta _{6}q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
2004.2.h.a \(56\) \(16.002\) None None \(0\) \(0\) \(0\) \(0\)
2004.3.e.a \(56\) \(54.605\) None None \(0\) \(0\) \(0\) \(0\)
2004.4.a.a \(18\) \(118.240\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(54\) \(-24\) \(-22\) \(-\) \(q+3q^{3}+(-1-\beta _{1})q^{5}+(-1+\beta _{5}+\cdots)q^{7}+\cdots\)
2004.4.a.b \(19\) \(118.240\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(0\) \(-57\) \(-8\) \(-14\) \(-\) \(q-3q^{3}-\beta _{1}q^{5}+(-1-\beta _{10})q^{7}+9q^{9}+\cdots\)
2004.4.a.c \(22\) \(118.240\) None None \(0\) \(66\) \(56\) \(6\) \(+\)
2004.4.a.d \(23\) \(118.240\) None None \(0\) \(-69\) \(12\) \(14\) \(+\)


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