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Results (displaying all 45 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 11 17
6171.2.a.a \(1\) \(49.276\) \(\Q\) None \(-2\) \(1\) \(2\) \(-3\) \(-\) \(-\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}+2q^{5}-2q^{6}+\cdots\)
6171.2.a.b \(1\) \(49.276\) \(\Q\) None \(-1\) \(1\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+2q^{7}+3q^{8}+\cdots\)
6171.2.a.c \(1\) \(49.276\) \(\Q\) None \(0\) \(-1\) \(-2\) \(3\) \(+\) \(-\) \(-\) \(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}+2q^{12}+\cdots\)
6171.2.a.d \(1\) \(49.276\) \(\Q\) None \(0\) \(1\) \(-2\) \(-1\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}-2q^{5}-q^{7}+q^{9}-2q^{12}+\cdots\)
6171.2.a.e \(1\) \(49.276\) \(\Q\) None \(0\) \(1\) \(3\) \(4\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+3q^{5}+4q^{7}+q^{9}-2q^{12}+\cdots\)
6171.2.a.f \(1\) \(49.276\) \(\Q\) None \(1\) \(1\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-2q^{7}-3q^{8}+\cdots\)
6171.2.a.g \(1\) \(49.276\) \(\Q\) None \(1\) \(1\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots\)
6171.2.a.h \(1\) \(49.276\) \(\Q\) None \(2\) \(1\) \(0\) \(3\) \(-\) \(-\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+3q^{7}+\cdots\)
6171.2.a.i \(1\) \(49.276\) \(\Q\) None \(2\) \(1\) \(2\) \(3\) \(-\) \(-\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{5}+2q^{6}+\cdots\)
6171.2.a.j \(2\) \(49.276\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(-6\) \(-4\) \(+\) \(+\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}-3q^{5}+\cdots\)
6171.2.a.k \(2\) \(49.276\) \(\Q(\sqrt{17}) \) None \(-1\) \(-2\) \(4\) \(-1\) \(+\) \(-\) \(-\) \(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+2q^{5}+\beta q^{6}+\cdots\)
6171.2.a.l \(2\) \(49.276\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(1\) \(-4\) \(+\) \(-\) \(-\) \(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots\)
6171.2.a.m \(2\) \(49.276\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(1\) \(4\) \(+\) \(+\) \(+\) \(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
6171.2.a.n \(2\) \(49.276\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-4\) \(6\) \(-\) \(-\) \(+\) \(q+\beta q^{2}+q^{3}+(-2+\beta )q^{5}+\beta q^{6}+\cdots\)
6171.2.a.o \(2\) \(49.276\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(-6\) \(4\) \(+\) \(-\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-3q^{5}+\cdots\)
6171.2.a.p \(2\) \(49.276\) \(\Q(\sqrt{17}) \) None \(1\) \(-2\) \(3\) \(0\) \(+\) \(-\) \(+\) \(q+\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
6171.2.a.q \(3\) \(49.276\) 3.3.316.1 None \(-1\) \(-3\) \(4\) \(-2\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.r \(3\) \(49.276\) 3.3.148.1 None \(0\) \(-3\) \(-4\) \(7\) \(+\) \(-\) \(+\) \(q+\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
6171.2.a.s \(3\) \(49.276\) 3.3.148.1 None \(2\) \(-3\) \(-2\) \(1\) \(+\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6171.2.a.t \(4\) \(49.276\) 4.4.22676.1 None \(-1\) \(4\) \(-4\) \(-9\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
6171.2.a.u \(5\) \(49.276\) 5.5.749264.1 None \(-2\) \(5\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
6171.2.a.v \(5\) \(49.276\) 5.5.749264.1 None \(2\) \(5\) \(0\) \(3\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
6171.2.a.w \(6\) \(49.276\) 6.6.46051664.1 None \(-1\) \(-6\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.x \(6\) \(49.276\) 6.6.29995216.1 None \(-1\) \(-6\) \(0\) \(2\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{3}-\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
6171.2.a.y \(6\) \(49.276\) 6.6.4642000.1 None \(-1\) \(6\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
6171.2.a.z \(6\) \(49.276\) 6.6.29995216.1 None \(1\) \(-6\) \(0\) \(-2\) \(+\) \(-\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{3}-\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
6171.2.a.ba \(6\) \(49.276\) 6.6.46051664.1 None \(1\) \(-6\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.bb \(6\) \(49.276\) 6.6.4642000.1 None \(1\) \(6\) \(-2\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
6171.2.a.bc \(6\) \(49.276\) 6.6.78067472.1 None \(1\) \(6\) \(2\) \(-7\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
6171.2.a.bd \(7\) \(49.276\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\) \(7\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
6171.2.a.be \(7\) \(49.276\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(3\) \(7\) \(0\) \(3\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
6171.2.a.bf \(8\) \(49.276\) 8.8.\(\cdots\).1 None \(-4\) \(-8\) \(-5\) \(1\) \(+\) \(-\) \(-\) \(q-\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
6171.2.a.bg \(8\) \(49.276\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(-8\) \(0\) \(3\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bh \(8\) \(49.276\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(1\) \(-8\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bi \(8\) \(49.276\) 8.8.\(\cdots\).1 None \(4\) \(-8\) \(-5\) \(-1\) \(+\) \(+\) \(+\) \(q+\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)
6171.2.a.bj \(12\) \(49.276\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-6\) \(12\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6171.2.a.bk \(12\) \(49.276\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-1\) \(12\) \(-14\) \(-5\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
6171.2.a.bl \(12\) \(49.276\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(12\) \(-14\) \(5\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{3}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
6171.2.a.bm \(12\) \(49.276\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(6\) \(12\) \(0\) \(2\) \(-\) \(+\) \(+\) \(q+(1-\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6171.2.a.bn \(14\) \(49.276\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-2\) \(-14\) \(0\) \(6\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bo \(14\) \(49.276\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(2\) \(-14\) \(0\) \(-6\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6171.2.a.bp \(20\) \(49.276\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-3\) \(-20\) \(7\) \(5\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
6171.2.a.bq \(20\) \(49.276\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-1\) \(20\) \(17\) \(-1\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{13}+\cdots)q^{5}+\cdots\)
6171.2.a.br \(20\) \(49.276\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(1\) \(20\) \(17\) \(1\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{13}+\cdots)q^{5}+\cdots\)
6171.2.a.bs \(20\) \(49.276\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(3\) \(-20\) \(7\) \(-5\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)


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