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Results (37 matches)

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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 11 13
5577.2.a.a \(1\) \(44.533\) \(\Q\) None \(-1\) \(-1\) \(2\) \(-4\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}-4q^{7}+\cdots\)
5577.2.a.b \(1\) \(44.533\) \(\Q\) None \(0\) \(-1\) \(-2\) \(-1\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}-2q^{5}-q^{7}+q^{9}+q^{11}+\cdots\)
5577.2.a.c \(1\) \(44.533\) \(\Q\) None \(0\) \(-1\) \(-2\) \(3\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}-q^{11}+\cdots\)
5577.2.a.d \(1\) \(44.533\) \(\Q\) None \(0\) \(-1\) \(2\) \(-3\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}+2q^{5}-3q^{7}+q^{9}+q^{11}+\cdots\)
5577.2.a.e \(1\) \(44.533\) \(\Q\) None \(0\) \(-1\) \(2\) \(1\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{4}+2q^{5}+q^{7}+q^{9}-q^{11}+\cdots\)
5577.2.a.f \(1\) \(44.533\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
5577.2.a.g \(1\) \(44.533\) \(\Q\) None \(1\) \(1\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots\)
5577.2.a.h \(2\) \(44.533\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(4\) \(+\) \(-\) \(+\) \(q+\beta q^{2}-q^{3}+q^{4}+(1-\beta )q^{5}-\beta q^{6}+\cdots\)
5577.2.a.i \(2\) \(44.533\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(4\) \(4\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(2+\beta )q^{5}+\cdots\)
5577.2.a.j \(3\) \(44.533\) 3.3.148.1 None \(-3\) \(3\) \(-4\) \(2\) \(-\) \(-\) \(+\) \(q+(-1-\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
5577.2.a.k \(3\) \(44.533\) 3.3.148.1 None \(-1\) \(3\) \(0\) \(2\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
5577.2.a.l \(3\) \(44.533\) 3.3.564.1 None \(1\) \(-3\) \(2\) \(-2\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
5577.2.a.m \(4\) \(44.533\) 4.4.8468.1 None \(2\) \(-4\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(q-\beta _{2}q^{2}-q^{3}+(2-\beta _{1})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.n \(5\) \(44.533\) 5.5.233489.1 None \(-4\) \(5\) \(-4\) \(-3\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
5577.2.a.o \(5\) \(44.533\) 5.5.863825.1 None \(-2\) \(-5\) \(2\) \(-9\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
5577.2.a.p \(5\) \(44.533\) 5.5.181057.1 None \(-2\) \(5\) \(-8\) \(-9\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
5577.2.a.q \(5\) \(44.533\) 5.5.503376.1 None \(-1\) \(-5\) \(2\) \(-6\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
5577.2.a.r \(5\) \(44.533\) 5.5.1019601.1 None \(0\) \(-5\) \(-2\) \(7\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+\beta _{3}q^{5}+\cdots\)
5577.2.a.s \(5\) \(44.533\) 5.5.1019601.1 None \(0\) \(-5\) \(2\) \(-7\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.t \(5\) \(44.533\) 5.5.503376.1 None \(1\) \(-5\) \(-2\) \(6\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
5577.2.a.u \(5\) \(44.533\) 5.5.863825.1 None \(2\) \(-5\) \(-2\) \(9\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5577.2.a.v \(5\) \(44.533\) 5.5.181057.1 None \(2\) \(5\) \(8\) \(9\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(2+\beta _{3}+\cdots)q^{5}+\cdots\)
5577.2.a.w \(5\) \(44.533\) 5.5.233489.1 None \(4\) \(5\) \(4\) \(3\) \(-\) \(+\) \(+\) \(q+(1-\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots\)
5577.2.a.x \(7\) \(44.533\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\) \(7\) \(-6\) \(-6\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
5577.2.a.y \(7\) \(44.533\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(3\) \(7\) \(6\) \(6\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
5577.2.a.z \(12\) \(44.533\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(-12\) \(4\) \(-12\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.ba \(12\) \(44.533\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-1\) \(-12\) \(6\) \(1\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{2}+\beta _{6}+\beta _{9}+\cdots)q^{5}+\cdots\)
5577.2.a.bb \(12\) \(44.533\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-1\) \(12\) \(6\) \(1\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(\beta _{3}-\beta _{5}+\beta _{11})q^{5}+\cdots\)
5577.2.a.bc \(12\) \(44.533\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(-12\) \(-6\) \(-1\) \(+\) \(-\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(-\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
5577.2.a.bd \(12\) \(44.533\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(12\) \(-6\) \(-1\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots\)
5577.2.a.be \(12\) \(44.533\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(2\) \(-12\) \(-4\) \(12\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
5577.2.a.bf \(14\) \(44.533\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-6\) \(14\) \(-12\) \(-12\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{9}+\cdots)q^{5}+\cdots\)
5577.2.a.bg \(14\) \(44.533\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(6\) \(14\) \(12\) \(12\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{9}+\cdots)q^{5}+\cdots\)
5577.2.a.bh \(18\) \(44.533\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-1\) \(-18\) \(6\) \(-1\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(\beta _{5}+\beta _{13}+\cdots)q^{5}+\cdots\)
5577.2.a.bi \(18\) \(44.533\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-1\) \(18\) \(6\) \(-1\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
5577.2.a.bj \(18\) \(44.533\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(1\) \(-18\) \(-6\) \(1\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots\)
5577.2.a.bk \(18\) \(44.533\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(1\) \(18\) \(-6\) \(1\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
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