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Results (39 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1161.1.i.a \(2\) \(0.579\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+q^{4}-\zeta_{6}q^{7}+\zeta_{6}q^{13}+q^{16}-\zeta_{6}^{2}q^{19}+\cdots\)
1161.1.i.b \(4\) \(0.579\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}-q^{4}-\beta _{1}q^{5}+(-2+2\beta _{2}+\cdots)q^{10}+\cdots\)
1161.1.i.c \(8\) \(0.579\) 8.0.12960000.1 None None \(0\) \(0\) \(0\) \(2\) \(q+\beta _{7}q^{2}+(-\beta _{3}-\beta _{6}-\beta _{7})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
1161.1.j.a \(2\) \(0.579\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+q^{4}-\zeta_{6}q^{13}+q^{16}+(1+\zeta_{6})q^{19}+\cdots\)
1161.1.by.a \(12\) \(0.579\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{42}^{12}q^{4}+(-\zeta_{42}^{11}-\zeta_{42}^{17}+\cdots)q^{7}+\cdots\)
1161.1.bz.a \(12\) \(0.579\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{42}^{3}q^{4}+(-\zeta_{42}+\zeta_{42}^{13})q^{7}+\cdots\)
1161.2.a.a \(1\) \(9.271\) \(\Q\) None None \(-2\) \(0\) \(2\) \(-3\) \(+\) \(q-2q^{2}+2q^{4}+2q^{5}-3q^{7}-4q^{10}+\cdots\)
1161.2.a.b \(1\) \(9.271\) \(\Q\) None None \(0\) \(0\) \(-2\) \(1\) \(+\) \(q-2q^{4}-2q^{5}+q^{7}+4q^{11}-3q^{13}+\cdots\)
1161.2.a.c \(1\) \(9.271\) \(\Q\) None None \(0\) \(0\) \(2\) \(1\) \(+\) \(q-2q^{4}+2q^{5}+q^{7}-4q^{11}-3q^{13}+\cdots\)
1161.2.a.d \(1\) \(9.271\) \(\Q\) None None \(2\) \(0\) \(-2\) \(-3\) \(+\) \(q+2q^{2}+2q^{4}-2q^{5}-3q^{7}-4q^{10}+\cdots\)
1161.2.a.e \(2\) \(9.271\) \(\Q(\sqrt{5}) \) None None \(-3\) \(0\) \(1\) \(-1\) \(+\) \(q+(-1-\beta )q^{2}+3\beta q^{4}+\beta q^{5}-\beta q^{7}+\cdots\)
1161.2.a.f \(2\) \(9.271\) \(\Q(\sqrt{5}) \) None None \(3\) \(0\) \(-1\) \(-1\) \(-\) \(q+(1+\beta )q^{2}+3\beta q^{4}-\beta q^{5}-\beta q^{7}+\cdots\)
1161.2.a.g \(4\) \(9.271\) \(\Q(\sqrt{2}, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(-8\) \(+\) \(q+\beta _{2}q^{2}+\beta _{1}q^{5}+(-2-\beta _{3})q^{7}-2\beta _{2}q^{8}+\cdots\)
1161.2.a.h \(5\) \(9.271\) 5.5.675097.1 None None \(-1\) \(0\) \(6\) \(0\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{4})q^{5}+\cdots\)
1161.2.a.i \(5\) \(9.271\) 5.5.675097.1 None None \(1\) \(0\) \(-6\) \(0\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
1161.2.a.j \(7\) \(9.271\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-2\) \(0\) \(-3\) \(-1\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1161.2.a.k \(7\) \(9.271\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(2\) \(0\) \(3\) \(-1\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1161.2.a.l \(10\) \(9.271\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(0\) \(0\) \(8\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{9}q^{5}+(1-\beta _{8}+\cdots)q^{7}+\cdots\)
1161.2.a.m \(10\) \(9.271\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(0\) \(0\) \(12\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{7}q^{5}+(1-\beta _{3}+\cdots)q^{7}+\cdots\)
1161.2.d.a \(2\) \(9.271\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-2q^{4}+\zeta_{6}q^{7}-5q^{13}+4q^{16}-\zeta_{6}q^{19}+\cdots\)
1161.2.d.b \(28\) \(9.271\) None None \(0\) \(0\) \(0\) \(0\)
1161.2.d.c \(28\) \(9.271\) None None \(0\) \(0\) \(0\) \(0\)
1161.2.e.a \(84\) \(9.271\) None None \(0\) \(0\) \(-5\) \(3\)
1161.2.f.a \(2\) \(9.271\) \(\Q(\sqrt{-3}) \) None None \(1\) \(0\) \(2\) \(3\) \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+2\zeta_{6}q^{5}+(3+\cdots)q^{7}+\cdots\)
1161.2.f.b \(4\) \(9.271\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(1\) \(0\) \(4\) \(7\) \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
1161.2.f.c \(38\) \(9.271\) None None \(4\) \(0\) \(9\) \(-7\)
1161.2.f.d \(40\) \(9.271\) None None \(-6\) \(0\) \(-17\) \(-3\)
1161.2.g.a \(84\) \(9.271\) None None \(0\) \(0\) \(10\) \(-6\)
1161.2.k.a \(84\) \(9.271\) None None \(0\) \(0\) \(3\) \(-3\)
1161.2.l.a \(84\) \(9.271\) None None \(0\) \(0\) \(0\) \(0\)
1161.2.m.a \(84\) \(9.271\) None None \(0\) \(0\) \(6\) \(0\)
1161.4.a.a \(18\) \(68.501\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(0\) \(-76\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{11}q^{5}+(-4+\cdots)q^{7}+\cdots\)
1161.4.a.b \(18\) \(68.501\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(0\) \(-48\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{13}q^{5}+(-3+\cdots)q^{7}+\cdots\)
1161.4.a.c \(21\) \(68.501\) None None \(-7\) \(0\) \(-37\) \(3\) \(-\)
1161.4.a.d \(21\) \(68.501\) None None \(-1\) \(0\) \(-3\) \(3\) \(-\)
1161.4.a.e \(21\) \(68.501\) None None \(1\) \(0\) \(3\) \(3\) \(+\)
1161.4.a.f \(21\) \(68.501\) None None \(7\) \(0\) \(37\) \(3\) \(+\)
1161.4.a.g \(24\) \(68.501\) None None \(0\) \(0\) \(0\) \(36\) \(+\)
1161.4.a.h \(24\) \(68.501\) None None \(0\) \(0\) \(0\) \(64\) \(+\)
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