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Results (displaying all 31 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.a \(1\) \(32.140\) \(\Q\) None \(-2\) \(-3\) \(0\) \(1\) \(+\) \(-\) \(+\) \(q-2q^{2}-3q^{3}+2q^{4}+6q^{6}+q^{7}+\cdots\)
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.e \(1\) \(32.140\) \(\Q\) None \(1\) \(0\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{4}-q^{7}-3q^{8}-3q^{9}+4q^{11}+\cdots\)
4025.2.a.f \(1\) \(32.140\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}-4q^{11}+\cdots\)
4025.2.a.g \(1\) \(32.140\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}+2q^{11}+\cdots\)
4025.2.a.h \(2\) \(32.140\) \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(0\) \(2\) \(+\) \(-\) \(+\) \(q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
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.j \(3\) \(32.140\) 3.3.148.1 None \(1\) \(-2\) \(0\) \(3\) \(+\) \(-\) \(+\) \(q+(\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
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.m \(4\) \(32.140\) 4.4.7537.1 None \(-1\) \(-4\) \(0\) \(-4\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.n \(4\) \(32.140\) 4.4.22545.1 None \(1\) \(0\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(3+\beta _{3})q^{4}+\cdots\)
4025.2.a.o \(4\) \(32.140\) 4.4.2777.1 None \(2\) \(5\) \(0\) \(-4\) \(+\) \(+\) \(-\) \(q+(1-\beta _{3})q^{2}+(1+\beta _{1})q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots\)
4025.2.a.p \(5\) \(32.140\) 5.5.2147108.1 None \(-2\) \(0\) \(0\) \(-5\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
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.r \(5\) \(32.140\) 5.5.122821.1 None \(3\) \(6\) \(0\) \(5\) \(+\) \(-\) \(+\) \(q+(1-\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(\beta _{3}+\beta _{4})q^{4}+\cdots\)
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.v \(8\) \(32.140\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(1\) \(4\) \(0\) \(-8\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.w \(8\) \(32.140\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) 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.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 \(-1\) \(-6\) \(0\) \(-14\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
4025.2.a.bb \(14\) \(32.140\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(1\) \(6\) \(0\) \(14\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
4025.2.a.bc \(14\) \(32.140\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) 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.bd \(21\) \(32.140\) None \(-2\) \(1\) \(0\) \(-21\) \(-\) \(+\) \(+\)
4025.2.a.be \(21\) \(32.140\) None \(2\) \(-1\) \(0\) \(21\) \(-\) \(-\) \(-\)


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