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Results (displaying all 39 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 7 19
5054.2.a.a \(1\) \(40.356\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
5054.2.a.b \(1\) \(40.356\) \(\Q\) None \(1\) \(0\) \(1\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
5054.2.a.c \(1\) \(40.356\) \(\Q\) None \(1\) \(2\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
5054.2.a.d \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(-1\) \(-2\) \(+\) \(+\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots\)
5054.2.a.e \(2\) \(40.356\) \(\Q(\sqrt{13}) \) None \(-2\) \(-1\) \(1\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}-\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
5054.2.a.f \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(2\) \(-2\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots\)
5054.2.a.g \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(-3\) \(2\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}-\beta q^{6}+\cdots\)
5054.2.a.h \(2\) \(40.356\) \(\Q(\sqrt{17}) \) None \(-2\) \(1\) \(-1\) \(-2\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots\)
5054.2.a.i \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(-2\) \(3\) \(-4\) \(-2\) \(+\) \(+\) \(-\) \(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-3+2\beta )q^{5}+\cdots\)
5054.2.a.j \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(2\) \(-3\) \(-4\) \(-2\) \(-\) \(+\) \(-\) \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-3+2\beta )q^{5}+\cdots\)
5054.2.a.k \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(2\) \(-3\) \(1\) \(2\) \(-\) \(-\) \(-\) \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(2-3\beta )q^{5}+\cdots\)
5054.2.a.l \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(2\) \(-1\) \(-3\) \(2\) \(-\) \(-\) \(+\) \(q+q^{2}-\beta q^{3}+q^{4}+(-1-\beta )q^{5}-\beta q^{6}+\cdots\)
5054.2.a.m \(2\) \(40.356\) \(\Q(\sqrt{17}) \) None \(2\) \(-1\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots\)
5054.2.a.n \(2\) \(40.356\) \(\Q(\sqrt{29}) \) None \(2\) \(-1\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots\)
5054.2.a.o \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(-1\) \(-2\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta q^{3}+q^{4}+(1-3\beta )q^{5}+\beta q^{6}+\cdots\)
5054.2.a.p \(2\) \(40.356\) \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(2\) \(-2\) \(-\) \(+\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots\)
5054.2.a.q \(3\) \(40.356\) 3.3.148.1 None \(-3\) \(-2\) \(-1\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5054.2.a.r \(3\) \(40.356\) 3.3.469.1 None \(-3\) \(1\) \(5\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{2}q^{6}+\cdots\)
5054.2.a.s \(3\) \(40.356\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(-3\) \(3\) \(+\) \(-\) \(-\) \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots\)
5054.2.a.t \(3\) \(40.356\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(-3\) \(3\) \(-\) \(-\) \(+\) \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots\)
5054.2.a.u \(3\) \(40.356\) 3.3.148.1 None \(3\) \(2\) \(-1\) \(-3\) \(-\) \(+\) \(+\) \(q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5054.2.a.v \(4\) \(40.356\) \(\Q(\zeta_{20})^+\) None \(-4\) \(-4\) \(2\) \(4\) \(+\) \(-\) \(-\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
5054.2.a.w \(4\) \(40.356\) 4.4.151572.1 None \(-4\) \(-1\) \(1\) \(4\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
5054.2.a.x \(4\) \(40.356\) 4.4.151572.1 None \(4\) \(1\) \(1\) \(4\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
5054.2.a.y \(4\) \(40.356\) \(\Q(\zeta_{20})^+\) None \(4\) \(4\) \(2\) \(4\) \(-\) \(-\) \(-\) \(q+q^{2}+(1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}-\beta _{3})q^{5}+\cdots\)
5054.2.a.z \(6\) \(40.356\) 6.6.36538000.1 None \(-6\) \(0\) \(-1\) \(6\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)
5054.2.a.ba \(6\) \(40.356\) 6.6.48952000.1 None \(-6\) \(2\) \(-5\) \(-6\) \(+\) \(+\) \(-\) \(q-q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
5054.2.a.bb \(6\) \(40.356\) 6.6.1528713.1 None \(-6\) \(3\) \(-3\) \(-6\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta _{3}q^{3}+q^{4}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
5054.2.a.bc \(6\) \(40.356\) 6.6.1528713.1 None \(6\) \(-3\) \(-3\) \(-6\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta _{3}q^{3}+q^{4}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
5054.2.a.bd \(6\) \(40.356\) 6.6.48952000.1 None \(6\) \(-2\) \(-5\) \(-6\) \(-\) \(+\) \(-\) \(q+q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
5054.2.a.be \(6\) \(40.356\) 6.6.36538000.1 None \(6\) \(0\) \(-1\) \(6\) \(-\) \(-\) \(-\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)
5054.2.a.bf \(8\) \(40.356\) 8.8.\(\cdots\).1 None \(-8\) \(-4\) \(6\) \(-8\) \(+\) \(+\) \(+\) \(q-q^{2}+(-1-\beta _{5}+\beta _{7})q^{3}+q^{4}+(1+\cdots)q^{5}+\cdots\)
5054.2.a.bg \(8\) \(40.356\) 8.8.\(\cdots\).1 None \(-8\) \(4\) \(-2\) \(8\) \(+\) \(-\) \(+\) \(q-q^{2}+(1+\beta _{2}+\beta _{5})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5054.2.a.bh \(8\) \(40.356\) 8.8.\(\cdots\).1 None \(8\) \(-4\) \(-2\) \(8\) \(-\) \(-\) \(+\) \(q+q^{2}+(-1-\beta _{2}-\beta _{5})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5054.2.a.bi \(8\) \(40.356\) 8.8.\(\cdots\).1 None \(8\) \(4\) \(6\) \(-8\) \(-\) \(+\) \(+\) \(q+q^{2}+(1+\beta _{5}-\beta _{7})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
5054.2.a.bj \(9\) \(40.356\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-3\) \(3\) \(-9\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots\)
5054.2.a.bk \(9\) \(40.356\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(3\) \(3\) \(-9\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots\)
5054.2.a.bl \(12\) \(40.356\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(-3\) \(3\) \(12\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots\)
5054.2.a.bm \(12\) \(40.356\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(3\) \(3\) \(12\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots\)


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