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Results (displaying all 26 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 7 11 13
8008.2.a.a \(1\) \(63.944\) \(\Q\) None \(0\) \(-2\) \(-1\) \(1\) \(+\) \(-\) \(+\) \(+\) \(q-2q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
8008.2.a.b \(1\) \(63.944\) \(\Q\) None \(0\) \(-2\) \(1\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q-2q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
8008.2.a.c \(1\) \(63.944\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-1\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
8008.2.a.d \(1\) \(63.944\) \(\Q\) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q-2q^{5}+q^{7}-3q^{9}+q^{11}-q^{13}+\cdots\)
8008.2.a.e \(1\) \(63.944\) \(\Q\) None \(0\) \(3\) \(1\) \(1\) \(-\) \(-\) \(+\) \(-\) \(q+3q^{3}+q^{5}+q^{7}+6q^{9}-q^{11}+q^{13}+\cdots\)
8008.2.a.f \(2\) \(63.944\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(1\) \(-2\) \(+\) \(+\) \(-\) \(+\) \(q+\beta q^{3}+(1-\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
8008.2.a.g \(2\) \(63.944\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(1\) \(2\) \(-\) \(-\) \(-\) \(-\) \(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots\)
8008.2.a.h \(2\) \(63.944\) \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(5\) \(2\) \(+\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(1+3\beta )q^{9}+\cdots\)
8008.2.a.i \(3\) \(63.944\) 3.3.229.1 None \(0\) \(2\) \(6\) \(-3\) \(-\) \(+\) \(+\) \(-\) \(q+(1+\beta _{2})q^{3}+(2-\beta _{1})q^{5}-q^{7}+(1+\cdots)q^{9}+\cdots\)
8008.2.a.j \(5\) \(63.944\) 5.5.668973.1 None \(0\) \(1\) \(-1\) \(5\) \(+\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(1+\beta _{2}-\beta _{4})q^{9}+\cdots\)
8008.2.a.k \(6\) \(63.944\) 6.6.244558277.1 None \(0\) \(-1\) \(1\) \(6\) \(+\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{3}-\beta _{5}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots\)
8008.2.a.l \(8\) \(63.944\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-5\) \(-7\) \(8\) \(-\) \(-\) \(-\) \(-\) \(q+(-1+\beta _{3})q^{3}+(-1+\beta _{5})q^{5}+q^{7}+\cdots\)
8008.2.a.m \(9\) \(63.944\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-5\) \(-5\) \(-9\) \(-\) \(+\) \(+\) \(-\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{6})q^{5}-q^{7}+\cdots\)
8008.2.a.n \(9\) \(63.944\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-3\) \(1\) \(-9\) \(+\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(1+\beta _{4}-\beta _{5}+\cdots)q^{9}+\cdots\)
8008.2.a.o \(9\) \(63.944\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-2\) \(-4\) \(9\) \(+\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{3}+\beta _{4}q^{5}+q^{7}+\beta _{2}q^{9}-q^{11}+\cdots\)
8008.2.a.p \(9\) \(63.944\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(1\) \(-4\) \(-9\) \(+\) \(+\) \(-\) \(-\) \(q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(-\beta _{3}+\beta _{5}+\cdots)q^{9}+\cdots\)
8008.2.a.q \(9\) \(63.944\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(8\) \(9\) \(-\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{3}+(1-\beta _{7})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
8008.2.a.r \(9\) \(63.944\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(5\) \(3\) \(-9\) \(-\) \(+\) \(+\) \(+\) \(q+(1-\beta _{1})q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
8008.2.a.s \(10\) \(63.944\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-3\) \(-4\) \(10\) \(+\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{3}+\beta _{9}q^{5}+q^{7}+(1+\beta _{5}-\beta _{6}+\cdots)q^{9}+\cdots\)
8008.2.a.t \(10\) \(63.944\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(1\) \(3\) \(10\) \(-\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{3}+\beta _{6}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots\)
8008.2.a.u \(10\) \(63.944\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(2\) \(-4\) \(-10\) \(+\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{3}-\beta _{6}q^{5}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
8008.2.a.v \(11\) \(63.944\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(0\) \(-2\) \(2\) \(-11\) \(-\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(1+\beta _{3}+\beta _{9}+\cdots)q^{9}+\cdots\)
8008.2.a.w \(11\) \(63.944\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(0\) \(3\) \(-2\) \(-11\) \(-\) \(+\) \(-\) \(-\) \(q+\beta _{1}q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)
8008.2.a.x \(12\) \(63.944\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(4\) \(6\) \(12\) \(+\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{3}+\beta _{4}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots\)
8008.2.a.y \(14\) \(63.944\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(0\) \(-3\) \(-6\) \(14\) \(-\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{3}+\beta _{10}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots\)
8008.2.a.z \(15\) \(63.944\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-1\) \(4\) \(-15\) \(+\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{3}-\beta _{11}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)


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