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Results (displaying all 14 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 5 7 23
4025.2.a.b \(1\) \(32.140\) \(\Q\) None \(-2\) \(1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}-2q^{9}+\cdots\)
4025.2.a.c \(1\) \(32.140\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q-q^{3}-2q^{4}+q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots\)
4025.2.a.d \(1\) \(32.140\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}-2q^{12}+\cdots\)
4025.2.a.i \(2\) \(32.140\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
4025.2.a.k \(3\) \(32.140\) \(\Q(\zeta_{14})^+\) None \(2\) \(0\) \(0\) \(3\) \(+\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}+(-1+\beta _{1}-2\beta _{2})q^{3}+\cdots\)
4025.2.a.l \(4\) \(32.140\) 4.4.2777.1 None \(-3\) \(-6\) \(0\) \(4\) \(+\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{3})q^{3}+(1+\cdots)q^{4}+\cdots\)
4025.2.a.q \(5\) \(32.140\) 5.5.255877.1 None \(1\) \(4\) \(0\) \(-5\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.s \(8\) \(32.140\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-3\) \(-2\) \(0\) \(8\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots\)
4025.2.a.t \(8\) \(32.140\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(-7\) \(0\) \(-8\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.u \(8\) \(32.140\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(-4\) \(0\) \(8\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.x \(12\) \(32.140\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(0\) \(0\) \(12\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.y \(12\) \(32.140\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(2\) \(0\) \(0\) \(-12\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.z \(14\) \(32.140\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-3\) \(-4\) \(0\) \(-14\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
4025.2.a.ba \(14\) \(32.140\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-1\) \(-6\) \(0\) \(-14\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)


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