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Results (displaying all 32 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 11 43
4730.2.a.a \(1\) \(37.769\) \(\Q\) None \(-1\) \(-2\) \(1\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots\)
4730.2.a.b \(1\) \(37.769\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots\)
4730.2.a.c \(1\) \(37.769\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots\)
4730.2.a.d \(1\) \(37.769\) \(\Q\) None \(1\) \(-3\) \(1\) \(1\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}-3q^{3}+q^{4}+q^{5}-3q^{6}+q^{7}+\cdots\)
4730.2.a.e \(1\) \(37.769\) \(\Q\) None \(1\) \(-1\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
4730.2.a.f \(1\) \(37.769\) \(\Q\) None \(1\) \(0\) \(-1\) \(3\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-3q^{9}+\cdots\)
4730.2.a.g \(1\) \(37.769\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
4730.2.a.h \(1\) \(37.769\) \(\Q\) None \(1\) \(1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
4730.2.a.i \(1\) \(37.769\) \(\Q\) None \(1\) \(1\) \(1\) \(-3\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
4730.2.a.j \(1\) \(37.769\) \(\Q\) None \(1\) \(1\) \(1\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+5q^{7}+\cdots\)
4730.2.a.k \(1\) \(37.769\) \(\Q\) None \(1\) \(2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
4730.2.a.l \(2\) \(37.769\) \(\Q(\sqrt{17}) \) None \(-2\) \(-1\) \(2\) \(-6\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-3q^{7}+\cdots\)
4730.2.a.m \(2\) \(37.769\) \(\Q(\sqrt{17}) \) None \(-2\) \(-1\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-2\beta q^{7}+\cdots\)
4730.2.a.n \(2\) \(37.769\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
4730.2.a.o \(2\) \(37.769\) \(\Q(\sqrt{13}) \) None \(-2\) \(1\) \(-2\) \(-1\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
4730.2.a.p \(2\) \(37.769\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.q \(2\) \(37.769\) \(\Q(\sqrt{5}) \) None \(2\) \(-1\) \(2\) \(-3\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.r \(2\) \(37.769\) \(\Q(\sqrt{21}) \) None \(2\) \(1\) \(-2\) \(-5\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.s \(2\) \(37.769\) \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(2\) \(-5\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4730.2.a.t \(3\) \(37.769\) 3.3.1373.1 None \(-3\) \(0\) \(3\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.u \(4\) \(37.769\) 4.4.23252.1 None \(4\) \(-3\) \(4\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.v \(5\) \(37.769\) 5.5.220036.1 None \(5\) \(2\) \(-5\) \(-6\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.w \(8\) \(37.769\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-7\) \(8\) \(-6\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots\)
4730.2.a.x \(8\) \(37.769\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(0\) \(-8\) \(-5\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.y \(8\) \(37.769\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(3\) \(8\) \(11\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.z \(10\) \(37.769\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(8\) \(10\) \(3\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.ba \(10\) \(37.769\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(-1\) \(-10\) \(3\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.bb \(11\) \(37.769\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(-1\) \(-11\) \(6\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.bc \(11\) \(37.769\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(0\) \(-11\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4730.2.a.bd \(11\) \(37.769\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(3\) \(11\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.be \(12\) \(37.769\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(3\) \(12\) \(8\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4730.2.a.bf \(13\) \(37.769\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(0\) \(-13\) \(7\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)


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