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Results (displaying all 12 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 89
4005.2.a.a \(1\) \(31.980\) \(\Q\) None \(-1\) \(0\) \(1\) \(4\) \(-\) \(-\) \(-\) \(q-q^{2}-q^{4}+q^{5}+4q^{7}+3q^{8}-q^{10}+\cdots\)
4005.2.a.d \(1\) \(31.980\) \(\Q\) None \(1\) \(0\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-4q^{11}+\cdots\)
4005.2.a.g \(2\) \(31.980\) \(\Q(\sqrt{17}) \) None \(1\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+(2+\beta )q^{4}-q^{5}+(4+\beta )q^{8}+\cdots\)
4005.2.a.h \(2\) \(31.980\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(2\) \(2\) \(-\) \(-\) \(-\) \(q+q^{2}-q^{4}+q^{5}+(1+\beta )q^{7}-3q^{8}+\cdots\)
4005.2.a.i \(3\) \(31.980\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(-3\) \(3\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(1+\beta _{2})q^{7}+\cdots\)
4005.2.a.l \(4\) \(31.980\) 4.4.725.1 None \(-1\) \(0\) \(4\) \(2\) \(-\) \(-\) \(-\) \(q+(-1+\beta _{1}+\beta _{2})q^{2}+(\beta _{1}+\beta _{3})q^{4}+\cdots\)
4005.2.a.n \(6\) \(31.980\) 6.6.10407557.1 None \(4\) \(0\) \(6\) \(1\) \(-\) \(-\) \(-\) \(q+(1+\beta _{2})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+q^{5}+\cdots\)
4005.2.a.o \(7\) \(31.980\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(4\) \(0\) \(-7\) \(-16\) \(-\) \(+\) \(+\) \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{3})q^{4}-q^{5}+\cdots\)
4005.2.a.r \(10\) \(31.980\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-6\) \(0\) \(-10\) \(7\) \(-\) \(+\) \(+\) \(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
4005.2.a.t \(10\) \(31.980\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(10\) \(9\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
4005.2.a.w \(17\) \(31.980\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(-5\) \(0\) \(-17\) \(12\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{8}+\cdots)q^{7}+\cdots\)
4005.2.a.x \(17\) \(31.980\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(5\) \(0\) \(17\) \(12\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1+\beta _{8}+\cdots)q^{7}+\cdots\)


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