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Results (displaying all 19 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
547.1.b.a \(1\) \(0.273\) \(\Q\) \(\Q(\sqrt{-547}) \) None \(0\) \(0\) \(0\) \(0\) \(q+q^{4}+q^{9}-q^{11}-q^{13}+q^{16}-q^{19}+\cdots\)
547.2.a.a \(2\) \(4.368\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(0\) \(4\) \(+\) \(q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
547.2.a.b \(18\) \(4.368\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(-4\) \(-10\) \(-27\) \(-11\) \(+\) \(q-\beta _{1}q^{2}+(-1+\beta _{9})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
547.2.a.c \(25\) \(4.368\) None None \(4\) \(8\) \(29\) \(5\) \(-\)
547.2.c.a \(90\) \(4.368\) None None \(-1\) \(-4\) \(1\) \(2\)
547.2.e.a \(264\) \(4.368\) None None \(-2\) \(-1\) \(-3\) \(-18\)
547.2.f.a \(528\) \(4.368\) None None \(-8\) \(-46\) \(-9\) \(-3\)
547.2.h.a \(540\) \(4.368\) None None \(-13\) \(-10\) \(-15\) \(-2\)
547.2.j.a \(1080\) \(4.368\) None None \(-25\) \(-74\) \(-27\) \(-28\)
547.2.m.a \(3168\) \(4.368\) None None \(-76\) \(-38\) \(-75\) \(-60\)
547.2.o.a \(6480\) \(4.368\) None None \(-143\) \(-94\) \(-141\) \(-154\)
547.3.b.a \(3\) \(14.905\) 3.3.14769.1 \(\Q(\sqrt{-547}) \) None \(0\) \(0\) \(0\) \(0\) \(q+4q^{4}+9q^{9}+(3\beta _{1}+2\beta _{2})q^{11}+(-4\beta _{1}+\cdots)q^{13}+\cdots\)
547.3.b.b \(88\) \(14.905\) None None \(0\) \(0\) \(0\) \(0\)
547.4.a.a \(65\) \(32.274\) None None \(-12\) \(-35\) \(-151\) \(-74\) \(-\)
547.4.a.b \(71\) \(32.274\) None None \(14\) \(31\) \(159\) \(66\) \(+\)
547.6.a.a \(111\) \(87.730\) None None \(-28\) \(-98\) \(-801\) \(-587\) \(+\)
547.6.a.b \(117\) \(87.730\) None None \(24\) \(100\) \(749\) \(393\) \(-\)
547.8.a.a \(156\) \(170.875\) None None \(-56\) \(-284\) \(-3751\) \(-2559\) \(-\)
547.8.a.b \(162\) \(170.875\) None None \(48\) \(310\) \(3999\) \(4301\) \(+\)


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