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Results (10 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 3 7 13
546.8.a.a \(1\) \(170.562\) \(\Q\) None \(8\) \(-27\) \(-135\) \(343\) \(-\) \(+\) \(-\) \(-\) \(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}-135q^{5}+\cdots\)
546.8.a.c \(1\) \(170.562\) \(\Q\) None \(8\) \(27\) \(-10\) \(-343\) \(-\) \(-\) \(+\) \(-\) \(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-10q^{5}+6^{3}q^{6}+\cdots\)
546.8.a.d \(3\) \(170.562\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(24\) \(-81\) \(351\) \(1029\) \(-\) \(+\) \(-\) \(-\) \(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(117+\beta _{1}+\cdots)q^{5}+\cdots\)
546.8.a.e \(3\) \(170.562\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(24\) \(81\) \(-378\) \(-1029\) \(-\) \(-\) \(+\) \(-\) \(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-126+\beta _{2})q^{5}+\cdots\)
546.8.a.f \(4\) \(170.562\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-32\) \(-108\) \(-134\) \(1372\) \(+\) \(+\) \(-\) \(+\) \(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-34-2\beta _{2}+\cdots)q^{5}+\cdots\)
546.8.a.g \(4\) \(170.562\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(32\) \(108\) \(-328\) \(1372\) \(-\) \(-\) \(-\) \(+\) \(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-82+\beta _{2}+\cdots)q^{5}+\cdots\)
546.8.a.h \(5\) \(170.562\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-40\) \(-135\) \(168\) \(-1715\) \(+\) \(+\) \(+\) \(-\) \(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(34-\beta _{1}+\cdots)q^{5}+\cdots\)
546.8.a.i \(5\) \(170.562\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-40\) \(135\) \(-340\) \(1715\) \(+\) \(-\) \(-\) \(-\) \(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-68-\beta _{1}+\cdots)q^{5}+\cdots\)
546.8.a.j \(5\) \(170.562\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-40\) \(135\) \(56\) \(-1715\) \(+\) \(-\) \(+\) \(+\) \(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(11-\beta _{2}+\cdots)q^{5}+\cdots\)
546.8.a.l \(5\) \(170.562\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(40\) \(-135\) \(-250\) \(-1715\) \(-\) \(+\) \(+\) \(+\) \(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-50+\beta _{1}+\cdots)q^{5}+\cdots\)
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