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Results (21 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1503.1.d.a \(5\) \(0.750\) \(\Q(\zeta_{22})^+\) \(\Q(\sqrt{-167}) \) None \(1\) \(0\) \(0\) \(-1\) \(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
1503.1.f.a \(2\) \(0.750\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-167}) \) None \(1\) \(-1\) \(0\) \(1\) \(q+\zeta_{6}q^{2}-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{6}+\zeta_{6}q^{7}+\cdots\)
1503.1.f.b \(20\) \(0.750\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-167}) \) None \(-1\) \(1\) \(0\) \(-1\) \(q+(-\zeta_{66}^{9}-\zeta_{66}^{13})q^{2}+\zeta_{66}^{14}q^{3}+\cdots\)
1503.2.a.a \(1\) \(12.002\) \(\Q\) None None \(-1\) \(0\) \(4\) \(4\) \(-\) \(q-q^{2}-q^{4}+4q^{5}+4q^{7}+3q^{8}-4q^{10}+\cdots\)
1503.2.a.b \(2\) \(12.002\) \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(2\) \(-5\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-2-\beta )q^{7}+\cdots\)
1503.2.a.c \(5\) \(12.002\) 5.5.38569.1 None None \(0\) \(0\) \(1\) \(-4\) \(+\) \(q+\beta _{1}q^{2}+(\beta _{2}+\beta _{3})q^{4}+(-\beta _{1}-\beta _{4})q^{5}+\cdots\)
1503.2.a.d \(5\) \(12.002\) 5.5.36497.1 None None \(4\) \(0\) \(9\) \(-4\) \(-\) \(q+(1-\beta _{3})q^{2}+(1+\beta _{1}-2\beta _{3}+\beta _{4})q^{4}+\cdots\)
1503.2.a.e \(8\) \(12.002\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(-3\) \(0\) \(-7\) \(-4\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{3}+\beta _{5}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1503.2.a.f \(8\) \(12.002\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(3\) \(0\) \(-1\) \(0\) \(-\) \(q+\beta _{3}q^{2}+(1-\beta _{2}+\beta _{5}+\beta _{6}+\beta _{7})q^{4}+\cdots\)
1503.2.a.g \(12\) \(12.002\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(-2\) \(0\) \(-4\) \(11\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{4}+\beta _{6}+\beta _{7})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1503.2.a.h \(14\) \(12.002\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-6\) \(0\) \(-12\) \(0\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-1-\beta _{11}+\cdots)q^{5}+\cdots\)
1503.2.a.i \(14\) \(12.002\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(6\) \(0\) \(12\) \(0\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{11}+\cdots)q^{5}+\cdots\)
1503.2.c.a \(56\) \(12.002\) None None \(0\) \(0\) \(0\) \(0\)
1503.4.a.a \(15\) \(88.680\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(7\) \(0\) \(26\) \(-85\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(2+\beta _{11}+\cdots)q^{5}+\cdots\)
1503.4.a.b \(19\) \(88.680\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(-1\) \(0\) \(-12\) \(-28\) \(-\) \(q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(-1-\beta _{13}+\cdots)q^{5}+\cdots\)
1503.4.a.c \(19\) \(88.680\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(9\) \(0\) \(62\) \(-28\) \(+\) \(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(4-\beta _{1}+\cdots)q^{5}+\cdots\)
1503.4.a.d \(23\) \(88.680\) None None \(-11\) \(0\) \(-48\) \(28\) \(-\)
1503.4.a.e \(23\) \(88.680\) None None \(3\) \(0\) \(-2\) \(28\) \(+\)
1503.4.a.f \(26\) \(88.680\) None None \(-5\) \(0\) \(-34\) \(83\) \(+\)
1503.4.a.g \(41\) \(88.680\) None None \(-12\) \(0\) \(-60\) \(-20\) \(-\)
1503.4.a.h \(41\) \(88.680\) None None \(12\) \(0\) \(60\) \(-20\) \(+\)
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