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Results (displaying matches 1-50 of 98) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
148.1.f.a \(2\) \(0.074\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots\)
148.1.i.a \(2\) \(0.074\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
148.1.p.a \(6\) \(0.074\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-3\) \(0\) \(q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots\)
148.2.a.a \(1\) \(1.182\) \(\Q\) None None \(0\) \(-1\) \(-4\) \(-3\) \(+\) \(q-q^{3}-4q^{5}-3q^{7}-2q^{9}+5q^{11}+\cdots\)
148.2.a.b \(2\) \(1.182\) \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(4\) \(1\) \(-\) \(q-\beta q^{3}+2q^{5}+\beta q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots\)
148.2.d.a \(2\) \(1.182\) \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(0\) \(2\) \(q+q^{3}+\zeta_{6}q^{5}+q^{7}-2q^{9}+3q^{11}+\cdots\)
148.2.e.a \(6\) \(1.182\) 6.0.27870912.1 None None \(0\) \(-1\) \(3\) \(-1\) \(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-\beta _{1}+\beta _{3}-\beta _{5})q^{7}+\cdots\)
148.2.g.a \(2\) \(1.182\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(6\) \(0\) \(q+(1+i)q^{2}+2iq^{4}+(3-3i)q^{5}+(-2+\cdots)q^{8}+\cdots\)
148.2.g.b \(4\) \(1.182\) \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(0\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
148.2.g.c \(28\) \(1.182\) None None \(0\) \(0\) \(-8\) \(0\)
148.2.h.a \(2\) \(1.182\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(3\) \(-1\) \(q-\zeta_{6}q^{3}+(2-\zeta_{6})q^{5}-\zeta_{6}q^{7}+(2-2\zeta_{6})q^{9}+\cdots\)
148.2.h.b \(2\) \(1.182\) \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(-3\) \(2\) \(q+2\zeta_{6}q^{3}+(-2+\zeta_{6})q^{5}+2\zeta_{6}q^{7}+\cdots\)
148.2.k.a \(24\) \(1.182\) None None \(0\) \(3\) \(-3\) \(-9\)
148.2.l.a \(4\) \(1.182\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+2\zeta_{12}q^{4}+\cdots\)
148.2.l.b \(64\) \(1.182\) None None \(-4\) \(0\) \(-4\) \(0\)
148.2.n.a \(6\) \(1.182\) \(\Q(\zeta_{18})\) None None \(0\) \(9\) \(0\) \(3\) \(q+(1-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+2\zeta_{18}^{5})q^{3}+\cdots\)
148.2.n.b \(12\) \(1.182\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(-12\) \(0\) \(6\) \(q+(-1-\beta _{9})q^{3}+(-\beta _{5}-\beta _{8})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
148.2.q.a \(12\) \(1.182\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-6\) \(0\) \(q+(\zeta_{36}^{2}+\zeta_{36}^{5}-\zeta_{36}^{8})q^{2}+2\zeta_{36}q^{4}+\cdots\)
148.2.q.b \(192\) \(1.182\) None None \(-12\) \(0\) \(-24\) \(0\)
148.3.b.a \(1\) \(4.033\) \(\Q\) \(\Q(\sqrt{-37}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-2q^{2}+4q^{4}-8q^{8}+9q^{9}+2^{4}q^{16}+\cdots\)
148.3.b.b \(1\) \(4.033\) \(\Q\) \(\Q(\sqrt{-37}) \) None \(2\) \(0\) \(0\) \(0\) \(q+2q^{2}+4q^{4}+8q^{8}+9q^{9}+2^{4}q^{16}+\cdots\)
148.3.b.c \(2\) \(4.033\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-4q^{4}-4iq^{5}-4iq^{8}+9q^{9}+\cdots\)
148.3.b.d \(32\) \(4.033\) None None \(0\) \(0\) \(0\) \(0\)
148.3.c.a \(36\) \(4.033\) None None \(0\) \(0\) \(0\) \(0\)
148.3.f.a \(14\) \(4.033\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(0\) \(12\) \(0\) \(q+\beta _{1}q^{3}+(1-\beta _{4}-\beta _{8})q^{5}-\beta _{5}q^{7}+\cdots\)
148.3.i.a \(72\) \(4.033\) None None \(0\) \(0\) \(0\) \(0\)
148.3.j.a \(4\) \(4.033\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-18\) \(0\) \(q+\zeta_{12}q^{2}+4\zeta_{12}^{2}q^{4}+(-6-2\zeta_{12}+\cdots)q^{5}+\cdots\)
148.3.j.b \(68\) \(4.033\) None None \(-6\) \(0\) \(18\) \(0\)
148.3.m.a \(28\) \(4.033\) None None \(0\) \(0\) \(-6\) \(0\)
148.3.o.a \(12\) \(4.033\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(18\) \(0\) \(q+\zeta_{36}q^{2}+4\zeta_{36}^{2}q^{4}+(2\zeta_{36}-2\zeta_{36}^{3}+\cdots)q^{5}+\cdots\)
148.3.o.b \(204\) \(4.033\) None None \(-3\) \(0\) \(-36\) \(0\)
148.3.p.a \(216\) \(4.033\) None None \(-9\) \(0\) \(-18\) \(0\)
148.3.r.a \(72\) \(4.033\) None None \(0\) \(0\) \(-6\) \(0\)
148.4.a.a \(4\) \(8.732\) 4.4.1264493.1 None None \(0\) \(-1\) \(-19\) \(-6\) \(-\) \(q-\beta _{2}q^{3}+(-5-\beta _{1}+2\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots\)
148.4.a.b \(5\) \(8.732\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None None \(0\) \(-1\) \(21\) \(22\) \(+\) \(q-\beta _{1}q^{3}+(4-\beta _{1}+\beta _{3})q^{5}+(5-2\beta _{1}+\cdots)q^{7}+\cdots\)
148.4.d.a \(2\) \(8.732\) \(\Q(\sqrt{-7}) \) None None \(0\) \(-10\) \(0\) \(-18\) \(q-5q^{3}-\beta q^{5}-9q^{7}-2q^{9}+57q^{11}+\cdots\)
148.4.d.b \(8\) \(8.732\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(0\) \(0\) \(2\) \(q-\beta _{2}q^{3}-\beta _{5}q^{5}+(\beta _{2}-\beta _{3}+\beta _{4})q^{7}+\cdots\)
148.4.e.a \(18\) \(8.732\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(8\) \(13\) \(8\) \(q+(\beta _{2}+\beta _{4})q^{3}+(\beta _{4}-\beta _{7})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
148.4.g.a \(2\) \(8.732\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(-4\) \(0\) \(-18\) \(0\) \(q+(-2-2i)q^{2}+8iq^{4}+(-9+9i)q^{5}+\cdots\)
148.4.g.b \(108\) \(8.732\) None None \(0\) \(0\) \(12\) \(0\)
148.4.h.a \(20\) \(8.732\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(4\) \(-18\) \(-8\) \(q+\beta _{8}q^{3}+(\beta _{3}+\beta _{7})q^{5}+(-1+\beta _{6}+\cdots)q^{7}+\cdots\)
148.4.k.a \(54\) \(8.732\) None None \(0\) \(-6\) \(-15\) \(48\)
148.4.l.a \(4\) \(8.732\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \) None \(4\) \(0\) \(-48\) \(0\) \(q+(2\zeta_{12}+2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{2}+8\zeta_{12}q^{4}+\cdots\)
148.4.l.b \(216\) \(8.732\) None None \(-6\) \(0\) \(36\) \(0\)
148.4.n.a \(60\) \(8.732\) None None \(0\) \(6\) \(18\) \(-48\)
148.4.q.a \(12\) \(8.732\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(66\) \(0\) \(q+(-2\zeta_{36}^{2}-2\zeta_{36}^{5}+2\zeta_{36}^{8})q^{2}+\cdots\)
148.4.q.b \(648\) \(8.732\) None None \(-12\) \(0\) \(-84\) \(0\)
148.5.b.a \(1\) \(15.299\) \(\Q\) \(\Q(\sqrt{-37}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-4q^{2}+2^{4}q^{4}-2^{6}q^{8}+3^{4}q^{9}+2^{8}q^{16}+\cdots\)
148.5.b.b \(1\) \(15.299\) \(\Q\) \(\Q(\sqrt{-37}) \) None \(4\) \(0\) \(0\) \(0\) \(q+4q^{2}+2^{4}q^{4}+2^{6}q^{8}+3^{4}q^{9}+2^{8}q^{16}+\cdots\)
148.5.b.c \(72\) \(15.299\) None None \(0\) \(0\) \(0\) \(0\)
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