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Results (26 matches)

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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 19
7220.2.a.a \(1\) \(57.652\) \(\Q\) None \(0\) \(-2\) \(-1\) \(-4\) \(-\) \(+\) \(-\) \(q-2q^{3}-q^{5}-4q^{7}+q^{9}-3q^{11}+\cdots\)
7220.2.a.b \(1\) \(57.652\) \(\Q\) None \(0\) \(-2\) \(-1\) \(2\) \(-\) \(+\) \(-\) \(q-2q^{3}-q^{5}+2q^{7}+q^{9}-6q^{13}+\cdots\)
7220.2.a.c \(1\) \(57.652\) \(\Q\) None \(0\) \(-2\) \(1\) \(0\) \(-\) \(-\) \(+\) \(q-2q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
7220.2.a.d \(1\) \(57.652\) \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(q-q^{5}-2q^{7}-3q^{9}-4q^{11}+4q^{13}+\cdots\)
7220.2.a.e \(1\) \(57.652\) \(\Q\) None \(0\) \(2\) \(-1\) \(-4\) \(-\) \(+\) \(+\) \(q+2q^{3}-q^{5}-4q^{7}+q^{9}-3q^{11}+\cdots\)
7220.2.a.f \(1\) \(57.652\) \(\Q\) None \(0\) \(2\) \(-1\) \(2\) \(-\) \(+\) \(-\) \(q+2q^{3}-q^{5}+2q^{7}+q^{9}-2q^{13}+\cdots\)
7220.2.a.g \(1\) \(57.652\) \(\Q\) None \(0\) \(2\) \(1\) \(0\) \(-\) \(-\) \(+\) \(q+2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
7220.2.a.h \(2\) \(57.652\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(4\) \(-\) \(-\) \(-\) \(q+(-1+\beta )q^{3}+q^{5}+2q^{7}+(1-2\beta )q^{9}+\cdots\)
7220.2.a.i \(2\) \(57.652\) \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(-2\) \(-6\) \(-\) \(+\) \(-\) \(q-\beta q^{3}-q^{5}-3q^{7}+(-2+\beta )q^{9}+\cdots\)
7220.2.a.j \(2\) \(57.652\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(+\) \(-\) \(q+(1-2\beta )q^{3}-q^{5}+(1-\beta )q^{7}+2q^{9}+\cdots\)
7220.2.a.k \(2\) \(57.652\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(1\) \(-\) \(+\) \(-\) \(q+(1-2\beta )q^{3}-q^{5}+\beta q^{7}+2q^{9}+(-2+\cdots)q^{11}+\cdots\)
7220.2.a.l \(2\) \(57.652\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(-6\) \(-\) \(+\) \(-\) \(q+\beta q^{3}-q^{5}-3q^{7}+(-2+\beta )q^{9}+\cdots\)
7220.2.a.m \(2\) \(57.652\) \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(2\) \(-4\) \(-\) \(-\) \(-\) \(q+(2+\beta )q^{3}+q^{5}+(-2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
7220.2.a.n \(3\) \(57.652\) 3.3.257.1 None \(0\) \(-1\) \(-3\) \(2\) \(-\) \(+\) \(+\) \(q+\beta _{2}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.o \(3\) \(57.652\) 3.3.257.1 None \(0\) \(1\) \(-3\) \(2\) \(-\) \(+\) \(-\) \(q-\beta _{2}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.p \(4\) \(57.652\) 4.4.133593.1 None \(0\) \(-1\) \(4\) \(0\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
7220.2.a.q \(4\) \(57.652\) 4.4.7168.1 None \(0\) \(0\) \(-4\) \(0\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{3}-q^{5}-\beta _{3}q^{7}+(3+\beta _{3})q^{9}+\cdots\)
7220.2.a.r \(4\) \(57.652\) 4.4.133593.1 None \(0\) \(1\) \(4\) \(0\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
7220.2.a.s \(8\) \(57.652\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-1\) \(8\) \(5\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{3}+q^{5}+(1+\beta _{6})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.t \(8\) \(57.652\) 8.8.\(\cdots\).2 None \(0\) \(0\) \(8\) \(-10\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{3}+q^{5}+(-1-\beta _{2}+\beta _{4})q^{7}+\cdots\)
7220.2.a.u \(8\) \(57.652\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(1\) \(8\) \(5\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{3}+q^{5}+(1+\beta _{6})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
7220.2.a.v \(9\) \(57.652\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-3\) \(-9\) \(0\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{3}-q^{5}+(-\beta _{4}+\beta _{7})q^{7}+(1+\cdots)q^{9}+\cdots\)
7220.2.a.w \(9\) \(57.652\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(-3\) \(9\) \(0\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{3}+q^{5}+(-\beta _{2}-\beta _{5}+\beta _{8})q^{7}+\cdots\)
7220.2.a.x \(9\) \(57.652\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(-9\) \(0\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{3}-q^{5}+(-\beta _{4}+\beta _{7})q^{7}+(1+\cdots)q^{9}+\cdots\)
7220.2.a.y \(9\) \(57.652\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(3\) \(9\) \(0\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{3}+q^{5}+(-\beta _{2}-\beta _{5}+\beta _{8})q^{7}+\cdots\)
7220.2.a.z \(16\) \(57.652\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(-16\) \(10\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{3}-q^{5}+(1-\beta _{2})q^{7}+(1-\beta _{2}+\cdots)q^{9}+\cdots\)
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