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Results (displaying all 15 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3009.1.q.a \(8\) \(1.502\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{3}-\zeta_{16}^{2}q^{4}+(\zeta_{16}-\zeta_{16}^{2}+\cdots)q^{5}+\cdots\)
3009.1.q.b \(8\) \(1.502\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{6}q^{3}-\zeta_{16}^{2}q^{4}+(-\zeta_{16}+\zeta_{16}^{2}+\cdots)q^{5}+\cdots\)
3009.1.q.c \(16\) \(1.502\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{22}q^{3}-\zeta_{48}^{18}q^{4}+(-\zeta_{48}+\cdots)q^{5}+\cdots\)
3009.1.q.d \(16\) \(1.502\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}q^{3}-\zeta_{48}^{18}q^{4}+(\zeta_{48}^{10}+\zeta_{48}^{17}+\cdots)q^{5}+\cdots\)
3009.2.a.a \(1\) \(24.027\) \(\Q\) None None \(0\) \(1\) \(-1\) \(2\) \(+\) \(q+q^{3}-2q^{4}-q^{5}+2q^{7}+q^{9}-5q^{11}+\cdots\)
3009.2.a.b \(2\) \(24.027\) \(\Q(\sqrt{5}) \) None None \(-1\) \(-2\) \(-3\) \(-4\) \(-\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
3009.2.a.c \(2\) \(24.027\) \(\Q(\sqrt{5}) \) None None \(-1\) \(-2\) \(3\) \(4\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
3009.2.a.d \(14\) \(24.027\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-4\) \(14\) \(-3\) \(-11\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
3009.2.a.e \(14\) \(24.027\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(14\) \(-5\) \(-11\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}-\beta _{11}q^{5}-\beta _{1}q^{6}+\cdots\)
3009.2.a.f \(16\) \(24.027\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-4\) \(-16\) \(-3\) \(-3\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{9}q^{5}+\cdots\)
3009.2.a.g \(17\) \(24.027\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(1\) \(-17\) \(-11\) \(-5\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots\)
3009.2.a.h \(18\) \(24.027\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(7\) \(-18\) \(2\) \(3\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{15}q^{5}+\cdots\)
3009.2.a.i \(21\) \(24.027\) None None \(2\) \(-21\) \(10\) \(1\) \(-\)
3009.2.a.j \(24\) \(24.027\) None None \(2\) \(24\) \(-3\) \(19\) \(-\)
3009.2.a.k \(26\) \(24.027\) None None \(3\) \(26\) \(8\) \(13\) \(-\)


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