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Results (displaying all 31 matches)

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2001.1.i.a \(2\) \(0.999\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-23}) \) None \(-2\) \(2\) \(0\) \(0\) \(q+(-1+i)q^{2}+q^{3}-iq^{4}+(-1+i+\cdots)q^{6}+\cdots\)
2001.1.i.b \(2\) \(0.999\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-23}) \) None \(2\) \(0\) \(0\) \(0\) \(q+(1-i)q^{2}+iq^{3}-iq^{4}+(1+i)q^{6}+\cdots\)
2001.1.i.c \(4\) \(0.999\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-23}) \) None \(-2\) \(0\) \(0\) \(0\) \(q+(\zeta_{12}^{4}+\zeta_{12}^{5})q^{2}-\zeta_{12}^{5}q^{3}+(-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
2001.1.i.d \(4\) \(0.999\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-23}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}-\zeta_{12}^{2}q^{3}+(\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
2001.1.bf.a \(12\) \(0.999\) \(\Q(\zeta_{28})\) \(\Q(\sqrt{-23}) \) None \(-2\) \(0\) \(0\) \(0\) \(q+(-\zeta_{28}^{7}-\zeta_{28}^{10})q^{2}-\zeta_{28}^{9}q^{3}+\cdots\)
2001.1.bf.b \(12\) \(0.999\) \(\Q(\zeta_{28})\) \(\Q(\sqrt{-23}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+(\zeta_{28}^{7}+\zeta_{28}^{10})q^{2}-\zeta_{28}^{6}q^{3}+(-1+\cdots)q^{4}+\cdots\)
2001.1.bf.c \(24\) \(0.999\) \(\Q(\zeta_{84})\) \(\Q(\sqrt{-23}) \) None \(-2\) \(2\) \(0\) \(0\) \(q+(-\zeta_{84}^{7}-\zeta_{84}^{20})q^{2}-\zeta_{84}^{26}q^{3}+\cdots\)
2001.1.bf.d \(24\) \(0.999\) \(\Q(\zeta_{84})\) \(\Q(\sqrt{-23}) \) None \(2\) \(0\) \(0\) \(0\) \(q+(\zeta_{84}^{7}+\zeta_{84}^{20})q^{2}+\zeta_{84}^{25}q^{3}+\cdots\)
2001.2.a.a \(1\) \(15.978\) \(\Q\) None None \(-1\) \(-1\) \(3\) \(0\) \(-\) \(q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\cdots\)
2001.2.a.b \(1\) \(15.978\) \(\Q\) None None \(0\) \(-1\) \(4\) \(-4\) \(-\) \(q-q^{3}-2q^{4}+4q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
2001.2.a.c \(1\) \(15.978\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}-2q^{4}+q^{9}-4q^{11}-2q^{12}+\cdots\)
2001.2.a.d \(2\) \(15.978\) \(\Q(\sqrt{5}) \) None None \(-2\) \(-2\) \(-4\) \(0\) \(-\) \(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+3q^{8}+\cdots\)
2001.2.a.e \(2\) \(15.978\) \(\Q(\sqrt{6}) \) None None \(0\) \(2\) \(0\) \(-4\) \(+\) \(q+q^{3}-2q^{4}-\beta q^{5}+(-2+\beta )q^{7}+\cdots\)
2001.2.a.f \(2\) \(15.978\) \(\Q(\sqrt{17}) \) None None \(2\) \(-2\) \(-3\) \(0\) \(-\) \(q+q^{2}-q^{3}-q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
2001.2.a.g \(4\) \(15.978\) 4.4.5744.1 None None \(0\) \(-4\) \(-2\) \(-2\) \(+\) \(q-q^{3}-2q^{4}-\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots\)
2001.2.a.h \(5\) \(15.978\) 5.5.312617.1 None None \(-2\) \(-5\) \(-3\) \(-5\) \(+\) \(q-\beta _{3}q^{2}-q^{3}+(2-\beta _{1})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
2001.2.a.i \(7\) \(15.978\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-3\) \(7\) \(-3\) \(-5\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
2001.2.a.j \(7\) \(15.978\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(7\) \(-5\) \(-5\) \(+\) \(q-\beta _{3}q^{2}+q^{3}+(1+\beta _{4}+\beta _{5})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2001.2.a.k \(10\) \(15.978\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(3\) \(-10\) \(6\) \(3\) \(-\) \(q+\beta _{3}q^{2}-q^{3}+(2+\beta _{6})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
2001.2.a.l \(11\) \(15.978\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(2\) \(-11\) \(2\) \(3\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
2001.2.a.m \(14\) \(15.978\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-2\) \(-14\) \(-3\) \(-3\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{11}q^{5}+\cdots\)
2001.2.a.n \(16\) \(15.978\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-1\) \(16\) \(3\) \(13\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
2001.2.a.o \(20\) \(15.978\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(2\) \(20\) \(-1\) \(9\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{6}q^{5}+\cdots\)
2001.4.a.a \(31\) \(118.063\) None None \(-10\) \(93\) \(-25\) \(-76\) \(-\)
2001.4.a.b \(36\) \(118.063\) None None \(2\) \(108\) \(-15\) \(-48\) \(-\)
2001.4.a.c \(37\) \(118.063\) None None \(-8\) \(-111\) \(-15\) \(-6\) \(-\)
2001.4.a.d \(37\) \(118.063\) None None \(4\) \(-111\) \(15\) \(8\) \(+\)
2001.4.a.e \(38\) \(118.063\) None None \(0\) \(-114\) \(-25\) \(-34\) \(-\)
2001.4.a.f \(42\) \(118.063\) None None \(4\) \(-126\) \(25\) \(36\) \(+\)
2001.4.a.g \(43\) \(118.063\) None None \(2\) \(129\) \(25\) \(106\) \(+\)
2001.4.a.h \(44\) \(118.063\) None None \(6\) \(132\) \(15\) \(78\) \(+\)


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