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Results (27 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2151.1.d.a \(1\) \(1.073\) \(\Q\) \(\Q(\sqrt{-239}) \) None \(1\) \(0\) \(1\) \(0\) \(q+q^{2}+q^{5}-q^{8}+q^{10}+q^{11}-q^{16}+\cdots\)
2151.1.d.b \(2\) \(1.073\) \(\Q(\sqrt{-2}) \) None None \(-2\) \(0\) \(2\) \(0\) \(q-q^{2}+q^{5}-\beta q^{7}+q^{8}-q^{10}+q^{11}+\cdots\)
2151.1.d.c \(2\) \(1.073\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-239}) \) None \(1\) \(0\) \(1\) \(0\) \(q+(1-\beta )q^{2}+(1-\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
2151.1.d.d \(2\) \(1.073\) \(\Q(\sqrt{-2}) \) None None \(2\) \(0\) \(-2\) \(0\) \(q+q^{2}-q^{5}-\beta q^{7}-q^{8}-q^{10}-q^{11}+\cdots\)
2151.1.d.e \(4\) \(1.073\) \(\Q(\zeta_{15})^+\) \(\Q(\sqrt{-239}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots\)
2151.1.f.a \(6\) \(1.073\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-239}) \) None \(0\) \(-3\) \(0\) \(0\) \(q+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{2}-\zeta_{18}^{3}q^{3}+(-\zeta_{18}^{3}+\cdots)q^{4}+\cdots\)
2151.1.f.b \(24\) \(1.073\) \(\Q(\zeta_{45})\) \(\Q(\sqrt{-239}) \) None \(0\) \(3\) \(0\) \(0\) \(q+(-\zeta_{90}^{7}-\zeta_{90}^{23})q^{2}-\zeta_{90}^{3}q^{3}+\cdots\)
2151.2.a.a \(2\) \(17.176\) \(\Q(\sqrt{5}) \) None None \(-3\) \(0\) \(0\) \(0\) \(+\) \(q+(-1-\beta )q^{2}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
2151.2.a.b \(2\) \(17.176\) \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(-6\) \(2\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}-3q^{5}+(2-2\beta )q^{7}+\cdots\)
2151.2.a.c \(2\) \(17.176\) \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(2\) \(0\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-1+2\beta )q^{8}+\cdots\)
2151.2.a.d \(3\) \(17.176\) \(\Q(\zeta_{14})^+\) None None \(1\) \(0\) \(4\) \(-3\) \(+\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{2})q^{5}-q^{7}+\cdots\)
2151.2.a.e \(6\) \(17.176\) 6.6.1767625.1 None None \(2\) \(0\) \(-5\) \(-9\) \(+\) \(q-\beta _{5}q^{2}+(1+\beta _{2}+\beta _{3}-\beta _{4})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
2151.2.a.f \(7\) \(17.176\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(0\) \(0\) \(-3\) \(3\) \(+\) \(q+\beta _{2}q^{2}+(1+\beta _{6})q^{4}-\beta _{6}q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
2151.2.a.g \(8\) \(17.176\) 8.8.2585660609.1 None None \(5\) \(0\) \(13\) \(-7\) \(-\) \(q+(1+\beta _{2})q^{2}+(1+\beta _{2}+\beta _{3})q^{4}+(2+\cdots)q^{5}+\cdots\)
2151.2.a.h \(12\) \(17.176\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(-3\) \(0\) \(1\) \(11\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{9}q^{5}+(1+\beta _{8}+\cdots)q^{7}+\cdots\)
2151.2.a.i \(17\) \(17.176\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(0\) \(0\) \(-6\) \(5\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+(1+\cdots)q^{7}+\cdots\)
2151.2.a.j \(20\) \(17.176\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(-4\) \(0\) \(-16\) \(-4\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{9})q^{5}+\cdots\)
2151.2.a.k \(20\) \(17.176\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(4\) \(0\) \(16\) \(-4\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{9})q^{5}+\cdots\)
2151.2.b.a \(80\) \(17.176\) None None \(0\) \(0\) \(0\) \(0\)
2151.4.a.a \(22\) \(126.913\) None None \(4\) \(0\) \(37\) \(-52\) \(-\)
2151.4.a.b \(28\) \(126.913\) None None \(5\) \(0\) \(-6\) \(-68\) \(-\)
2151.4.a.c \(28\) \(126.913\) None None \(13\) \(0\) \(74\) \(-82\) \(+\)
2151.4.a.d \(32\) \(126.913\) None None \(-11\) \(0\) \(-66\) \(58\) \(-\)
2151.4.a.e \(32\) \(126.913\) None None \(-3\) \(0\) \(14\) \(72\) \(+\)
2151.4.a.f \(37\) \(126.913\) None None \(-4\) \(0\) \(-43\) \(60\) \(+\)
2151.4.a.g \(59\) \(126.913\) None None \(-8\) \(0\) \(-80\) \(-10\) \(-\)
2151.4.a.h \(59\) \(126.913\) None None \(8\) \(0\) \(80\) \(-10\) \(+\)
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