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Results (displaying all 16 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 11 61
6039.2.a.a \(5\) \(48.222\) 5.5.24217.1 None \(2\) \(0\) \(2\) \(-1\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(-2\beta _{1}-\beta _{2}+\beta _{4})q^{4}+\beta _{2}q^{5}+\cdots\)
6039.2.a.b \(6\) \(48.222\) 6.6.2661761.1 None \(0\) \(0\) \(1\) \(-5\) \(-\) \(-\) \(+\) \(q-\beta _{3}q^{2}-\beta _{5}q^{4}+(-\beta _{1}+\beta _{3}-\beta _{5})q^{5}+\cdots\)
6039.2.a.c \(11\) \(48.222\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(2\) \(0\) \(1\) \(-11\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6039.2.a.d \(11\) \(48.222\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(4\) \(0\) \(13\) \(-5\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{5}+\beta _{6})q^{4}+(1-\beta _{10})q^{5}+\cdots\)
6039.2.a.e \(12\) \(48.222\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-1\) \(0\) \(3\) \(-9\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots\)
6039.2.a.f \(12\) \(48.222\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(7\) \(0\) \(7\) \(-15\) \(-\) \(+\) \(+\) \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6039.2.a.g \(13\) \(48.222\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-7\) \(5\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots\)
6039.2.a.h \(13\) \(48.222\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-7\) \(7\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{5})q^{5}+\cdots\)
6039.2.a.i \(13\) \(48.222\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-2\) \(0\) \(-3\) \(11\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+(1+\beta _{11}+\cdots)q^{7}+\cdots\)
6039.2.a.j \(14\) \(48.222\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(1\) \(0\) \(-1\) \(9\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+(1+\cdots)q^{7}+\cdots\)
6039.2.a.k \(19\) \(48.222\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(-5\) \(0\) \(0\) \(9\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-\beta _{16}q^{7}+\cdots\)
6039.2.a.l \(21\) \(48.222\) None \(0\) \(0\) \(-7\) \(5\) \(-\) \(-\) \(-\)
6039.2.a.m \(25\) \(48.222\) None \(-5\) \(0\) \(-12\) \(-4\) \(+\) \(-\) \(-\)
6039.2.a.n \(25\) \(48.222\) None \(-5\) \(0\) \(-4\) \(4\) \(+\) \(+\) \(+\)
6039.2.a.o \(25\) \(48.222\) None \(5\) \(0\) \(4\) \(4\) \(+\) \(-\) \(+\)
6039.2.a.p \(25\) \(48.222\) None \(5\) \(0\) \(12\) \(-4\) \(+\) \(+\) \(-\)


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