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Results (39 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 7 17
6069.2.a.a \(1\) \(48.461\) \(\Q\) None \(-2\) \(-1\) \(3\) \(-1\) \(+\) \(+\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}+3q^{5}+2q^{6}+\cdots\)
6069.2.a.b \(1\) \(48.461\) \(\Q\) None \(-1\) \(-1\) \(2\) \(1\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
6069.2.a.c \(1\) \(48.461\) \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+5q^{11}+\cdots\)
6069.2.a.d \(1\) \(48.461\) \(\Q\) None \(0\) \(1\) \(-1\) \(1\) \(-\) \(-\) \(+\) \(q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-3q^{11}+\cdots\)
6069.2.a.e \(1\) \(48.461\) \(\Q\) None \(2\) \(-1\) \(-1\) \(1\) \(+\) \(-\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
6069.2.a.f \(2\) \(48.461\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(4\) \(2\) \(+\) \(-\) \(+\) \(q+(-1+\beta )q^{2}-q^{3}+(2-2\beta )q^{4}+(2+\cdots)q^{5}+\cdots\)
6069.2.a.g \(2\) \(48.461\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(2\) \(-\) \(-\) \(+\) \(q+\beta q^{2}+q^{3}+(1+\beta )q^{5}+\beta q^{6}+q^{7}+\cdots\)
6069.2.a.h \(2\) \(48.461\) \(\Q(\sqrt{13}) \) None \(1\) \(-2\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q+\beta q^{2}-q^{3}+(1+\beta )q^{4}-\beta q^{6}-q^{7}+\cdots\)
6069.2.a.i \(2\) \(48.461\) \(\Q(\sqrt{13}) \) None \(1\) \(2\) \(0\) \(2\) \(-\) \(-\) \(-\) \(q+\beta q^{2}+q^{3}+(1+\beta )q^{4}+\beta q^{6}+q^{7}+\cdots\)
6069.2.a.j \(3\) \(48.461\) \(\Q(\zeta_{14})^+\) None \(-2\) \(-3\) \(-2\) \(-3\) \(+\) \(+\) \(+\) \(q+(-1-\beta _{2})q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
6069.2.a.k \(3\) \(48.461\) 3.3.148.1 None \(-2\) \(-3\) \(3\) \(-3\) \(+\) \(+\) \(+\) \(q+(-1+\beta _{1})q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6069.2.a.l \(3\) \(48.461\) \(\Q(\zeta_{14})^+\) None \(-2\) \(3\) \(2\) \(3\) \(-\) \(-\) \(-\) \(q+(-1-\beta _{2})q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
6069.2.a.m \(3\) \(48.461\) 3.3.148.1 None \(-2\) \(3\) \(-3\) \(3\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6069.2.a.n \(3\) \(48.461\) \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(0\) \(3\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
6069.2.a.o \(3\) \(48.461\) 3.3.257.1 None \(0\) \(-3\) \(2\) \(-3\) \(+\) \(+\) \(-\) \(q+\beta _{2}q^{2}-q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6069.2.a.p \(3\) \(48.461\) \(\Q(\zeta_{18})^+\) None \(0\) \(3\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\beta _{2})q^{5}+\cdots\)
6069.2.a.q \(3\) \(48.461\) 3.3.257.1 None \(0\) \(3\) \(-2\) \(3\) \(-\) \(-\) \(+\) \(q+\beta _{2}q^{2}+q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
6069.2.a.r \(3\) \(48.461\) 3.3.316.1 None \(1\) \(-3\) \(-2\) \(-3\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.s \(4\) \(48.461\) 4.4.7232.1 None \(2\) \(4\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(q-\beta _{2}q^{2}+q^{3}+(1-\beta _{2}-\beta _{3})q^{4}-\beta _{1}q^{5}+\cdots\)
6069.2.a.t \(5\) \(48.461\) 5.5.1669781.1 None \(-1\) \(-5\) \(-4\) \(5\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.u \(5\) \(48.461\) 5.5.1669781.1 None \(-1\) \(5\) \(4\) \(-5\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.v \(5\) \(48.461\) 5.5.1502576.1 None \(0\) \(-5\) \(3\) \(5\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
6069.2.a.w \(5\) \(48.461\) 5.5.1502576.1 None \(0\) \(5\) \(-3\) \(-5\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
6069.2.a.x \(6\) \(48.461\) 6.6.2803712.1 None \(0\) \(-6\) \(6\) \(-6\) \(+\) \(+\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
6069.2.a.y \(6\) \(48.461\) 6.6.2803712.1 None \(0\) \(6\) \(-6\) \(6\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.z \(9\) \(48.461\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(3\) \(-9\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1-\beta _{3}+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)
6069.2.a.ba \(9\) \(48.461\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-9\) \(3\) \(9\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1-\beta _{4}+\beta _{5})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.bb \(9\) \(48.461\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(-3\) \(-9\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1-\beta _{4}+\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.bc \(9\) \(48.461\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(9\) \(-3\) \(9\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1-\beta _{3}+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)
6069.2.a.bd \(10\) \(48.461\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(-10\) \(6\) \(10\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6069.2.a.be \(10\) \(48.461\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(10\) \(-6\) \(-10\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
6069.2.a.bf \(15\) \(48.461\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-15\) \(-9\) \(-15\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{12}+\cdots)q^{5}+\cdots\)
6069.2.a.bg \(15\) \(48.461\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(-15\) \(-9\) \(15\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{13}+\cdots)q^{5}+\cdots\)
6069.2.a.bh \(15\) \(48.461\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(15\) \(9\) \(-15\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{13}+\cdots)q^{5}+\cdots\)
6069.2.a.bi \(15\) \(48.461\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(15\) \(9\) \(15\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{12}+\cdots)q^{5}+\cdots\)
6069.2.a.bj \(16\) \(48.461\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(-16\) \(-4\) \(16\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{14}q^{5}+\cdots\)
6069.2.a.bk \(16\) \(48.461\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-4\) \(16\) \(4\) \(-16\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{14}q^{5}+\cdots\)
6069.2.a.bl \(24\) \(48.461\) None \(4\) \(-24\) \(-4\) \(-24\) \(+\) \(+\) \(-\)
6069.2.a.bm \(24\) \(48.461\) None \(4\) \(24\) \(4\) \(24\) \(-\) \(-\) \(-\)
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