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Results (displaying all 18 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2563.1.b.a \(1\) \(1.279\) \(\Q\) \(\Q(\sqrt{-2563}) \) None \(0\) \(0\) \(0\) \(0\) \(q+q^{4}+q^{9}-q^{11}+q^{16}+q^{17}-q^{23}+\cdots\)
2563.1.b.b \(1\) \(1.279\) \(\Q\) \(\Q(\sqrt{-2563}) \) None \(0\) \(0\) \(0\) \(0\) \(q+q^{4}+q^{9}+q^{11}+q^{16}-q^{17}-q^{23}+\cdots\)
2563.1.b.c \(2\) \(1.279\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{2}-\beta q^{3}-q^{4}+\beta q^{5}-2q^{6}+\cdots\)
2563.1.b.d \(2\) \(1.279\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{2}+\beta q^{3}-q^{4}-\beta q^{5}+2q^{6}+\cdots\)
2563.1.e.a \(4\) \(1.279\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}^{2})q^{3}+\cdots\)
2563.1.e.b \(4\) \(1.279\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(0\) \(q+q^{4}+(1+\zeta_{8}^{2})q^{5}-\zeta_{8}^{2}q^{9}-\zeta_{8}^{3}q^{11}+\cdots\)
2563.2.a.a \(1\) \(20.466\) \(\Q\) None None \(-2\) \(1\) \(-1\) \(4\) \(-\) \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+4q^{7}+\cdots\)
2563.2.a.b \(1\) \(20.466\) \(\Q\) None None \(-1\) \(-2\) \(-2\) \(-2\) \(-\) \(q-q^{2}-2q^{3}-q^{4}-2q^{5}+2q^{6}-2q^{7}+\cdots\)
2563.2.a.c \(1\) \(20.466\) \(\Q\) None None \(0\) \(-2\) \(0\) \(2\) \(-\) \(q-2q^{3}-2q^{4}+2q^{7}+q^{9}+q^{11}+\cdots\)
2563.2.a.d \(1\) \(20.466\) \(\Q\) None None \(1\) \(-1\) \(-4\) \(4\) \(+\) \(q+q^{2}-q^{3}-q^{4}-4q^{5}-q^{6}+4q^{7}+\cdots\)
2563.2.a.e \(1\) \(20.466\) \(\Q\) None None \(1\) \(2\) \(4\) \(4\) \(-\) \(q+q^{2}+2q^{3}-q^{4}+4q^{5}+2q^{6}+4q^{7}+\cdots\)
2563.2.a.f \(2\) \(20.466\) \(\Q(\sqrt{17}) \) None None \(-1\) \(-1\) \(-4\) \(0\) \(+\) \(q-\beta q^{2}-\beta q^{3}+(2+\beta )q^{4}-2q^{5}+(4+\cdots)q^{6}+\cdots\)
2563.2.a.g \(2\) \(20.466\) \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(4\) \(2\) \(-\) \(q+(1+\beta )q^{3}-2q^{4}+2q^{5}+(1+\beta )q^{7}+\cdots\)
2563.2.a.h \(4\) \(20.466\) 4.4.14013.1 None None \(1\) \(1\) \(-1\) \(1\) \(-\) \(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2563.2.a.i \(42\) \(20.466\) None None \(-12\) \(-6\) \(-20\) \(-31\) \(+\)
2563.2.a.j \(45\) \(20.466\) None None \(12\) \(5\) \(29\) \(-22\) \(-\)
2563.2.a.k \(46\) \(20.466\) None None \(-10\) \(-11\) \(-31\) \(13\) \(+\)
2563.2.a.l \(47\) \(20.466\) None None \(14\) \(10\) \(26\) \(21\) \(-\)


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