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Results (19 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
503.1.b.a \(1\) \(0.251\) \(\Q\) \(\Q(\sqrt{-503}) \) None \(2\) \(-1\) \(0\) \(-1\) \(q+2q^{2}-q^{3}+3q^{4}-2q^{6}-q^{7}+4q^{8}+\cdots\)
503.1.b.b \(3\) \(0.251\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-503}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\)
503.1.b.c \(6\) \(0.251\) \(\Q(\zeta_{21})^+\) \(\Q(\sqrt{-503}) \) None \(-2\) \(1\) \(0\) \(1\) \(q+\beta _{3}q^{2}+\beta _{4}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots\)
503.2.a.a \(1\) \(4.016\) \(\Q\) None None \(-1\) \(1\) \(-4\) \(-3\) \(-\) \(q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
503.2.a.b \(1\) \(4.016\) \(\Q\) None None \(1\) \(1\) \(-2\) \(-3\) \(+\) \(q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-3q^{7}+\cdots\)
503.2.a.c \(1\) \(4.016\) \(\Q\) None None \(1\) \(3\) \(-2\) \(3\) \(-\) \(q+q^{2}+3q^{3}-q^{4}-2q^{5}+3q^{6}+3q^{7}+\cdots\)
503.2.a.d \(3\) \(4.016\) 3.3.257.1 None None \(0\) \(1\) \(0\) \(1\) \(-\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
503.2.a.e \(10\) \(4.016\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-4\) \(-8\) \(-1\) \(-5\) \(+\) \(q-\beta _{9}q^{2}+(-1+\beta _{1})q^{3}+\beta _{5}q^{4}-\beta _{2}q^{5}+\cdots\)
503.2.a.f \(26\) \(4.016\) None None \(4\) \(4\) \(9\) \(11\) \(-\)
503.2.c.a \(10250\) \(4.016\) None None \(-249\) \(-249\) \(-245\) \(-247\)
503.3.b.a \(21\) \(13.706\) \(\Q(\sqrt{-503}) \) None \(0\) \(0\) \(0\) \(0\)
503.3.b.b \(62\) \(13.706\) None None \(-2\) \(-2\) \(0\) \(-8\)
503.4.a.a \(1\) \(29.678\) \(\Q\) None None \(5\) \(7\) \(-4\) \(-3\) \(+\) \(q+5q^{2}+7q^{3}+17q^{4}-4q^{5}+35q^{6}+\cdots\)
503.4.a.b \(52\) \(29.678\) None None \(-11\) \(-31\) \(-22\) \(-101\) \(-\)
503.4.a.c \(72\) \(29.678\) None None \(4\) \(22\) \(42\) \(98\) \(+\)
503.6.a.a \(94\) \(80.673\) None None \(-21\) \(-91\) \(-187\) \(-628\) \(+\)
503.6.a.b \(115\) \(80.673\) None None \(19\) \(89\) \(113\) \(744\) \(-\)
503.8.a.a \(136\) \(157.130\) None None \(-41\) \(-271\) \(-627\) \(-5000\) \(-\)
503.8.a.b \(157\) \(157.130\) None None \(39\) \(269\) \(873\) \(4604\) \(+\)
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