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Results (displaying all 15 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3997.1.n.a \(2\) \(1.995\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-7}) \) None \(1\) \(0\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{2}+q^{7}+q^{8}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots\)
3997.1.n.b \(4\) \(1.995\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(-2\) \(0\) \(0\) \(4\) \(q+(-1+\beta _{2})q^{2}+\beta _{1}q^{5}+q^{7}-q^{8}+\cdots\)
3997.1.n.c \(4\) \(1.995\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{6}+\cdots\)
3997.1.x.a \(4\) \(1.995\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(1-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{4}+\cdots\)
3997.1.bf.a \(8\) \(1.995\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-7}) \) None \(-1\) \(0\) \(0\) \(-2\) \(q+(\zeta_{30}^{8}+\zeta_{30}^{12})q^{2}+(-\zeta_{30}-\zeta_{30}^{5}+\cdots)q^{4}+\cdots\)
3997.1.bp.a \(18\) \(1.995\) \(\Q(\zeta_{38})\) \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(-\zeta_{38}^{3}+\zeta_{38}^{8})q^{2}+(\zeta_{38}^{6}-\zeta_{38}^{11}+\cdots)q^{4}+\cdots\)
3997.1.ce.a \(36\) \(1.995\) \(\Q(\zeta_{57})\) \(\Q(\sqrt{-7}) \) None \(-1\) \(0\) \(0\) \(-2\) \(q+(\zeta_{114}^{24}-\zeta_{114}^{47})q^{2}+(\zeta_{114}^{14}-\zeta_{114}^{37}+\cdots)q^{4}+\cdots\)
3997.1.cj.a \(72\) \(1.995\) \(\Q(\zeta_{95})\) \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(1\) \(q+(-\zeta_{190}^{29}-\zeta_{190}^{71})q^{2}+(-\zeta_{190}^{5}+\cdots)q^{4}+\cdots\)
3997.1.cz.a \(144\) \(1.995\) \(\Q(\zeta_{570})\) \(\Q(\sqrt{-7}) \) None \(1\) \(0\) \(0\) \(2\) \(q+(-\zeta_{570}^{201}+\zeta_{570}^{244})q^{2}+(-\zeta_{570}^{117}+\cdots)q^{4}+\cdots\)
3997.2.a.a \(1\) \(31.916\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-1\) \(-\) \(q-2q^{4}-2q^{5}-q^{7}-3q^{9}+q^{11}+\cdots\)
3997.2.a.b \(1\) \(31.916\) \(\Q\) None None \(1\) \(-2\) \(0\) \(1\) \(+\) \(q+q^{2}-2q^{3}-q^{4}-2q^{6}+q^{7}-3q^{8}+\cdots\)
3997.2.a.c \(63\) \(31.916\) None None \(-21\) \(-14\) \(-16\) \(63\) \(+\)
3997.2.a.d \(68\) \(31.916\) None None \(13\) \(18\) \(18\) \(-68\) \(-\)
3997.2.a.e \(73\) \(31.916\) None None \(-12\) \(-18\) \(-22\) \(-73\) \(+\)
3997.2.a.f \(79\) \(31.916\) None None \(20\) \(16\) \(16\) \(79\) \(-\)


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