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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
3800.2.a.c \(1\) \(30.343\) \(\Q\) None \(0\) \(-2\) \(0\) \(2\) \(+\) \(-\) \(+\) \(q-2q^{3}+2q^{7}+q^{9}+4q^{11}+8q^{17}+\cdots\)
3800.2.a.o \(2\) \(30.343\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+\beta q^{3}+(2+2\beta )q^{7}-q^{9}+(2+2\beta )q^{11}+\cdots\)
3800.2.a.p \(2\) \(30.343\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(-2\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}+(-1-\beta )q^{7}+2\beta q^{9}+\cdots\)
3800.2.a.bc \(6\) \(30.343\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(2\) \(0\) \(2\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{4})q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
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