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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
201.1.g.a \(4\) \(0.100\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{6}+\cdots\)
201.1.k.a \(10\) \(0.100\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{22}^{7}q^{3}+\zeta_{22}^{6}q^{4}+(\zeta_{22}^{8}-\zeta_{22}^{9}+\cdots)q^{7}+\cdots\)
201.2.a.a \(1\) \(1.605\) \(\Q\) None None \(-2\) \(-1\) \(0\) \(0\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}-6q^{11}+\cdots\)
201.2.a.b \(1\) \(1.605\) \(\Q\) None None \(-1\) \(1\) \(-1\) \(-5\) \(+\) \(q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-5q^{7}+\cdots\)
201.2.a.c \(1\) \(1.605\) \(\Q\) None None \(1\) \(-1\) \(-3\) \(-3\) \(+\) \(q+q^{2}-q^{3}-q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots\)
201.2.a.d \(3\) \(1.605\) 3.3.148.1 None None \(3\) \(-3\) \(1\) \(1\) \(-\) \(q+(1+\beta _{2})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
201.2.a.e \(5\) \(1.605\) 5.5.1025428.1 None None \(0\) \(5\) \(-3\) \(7\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
201.2.d.a \(20\) \(1.605\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{7}q^{2}+\beta _{5}q^{3}+(1+\beta _{16})q^{4}-\beta _{11}q^{5}+\cdots\)
201.2.e.a \(2\) \(1.605\) \(\Q(\sqrt{-3}) \) None None \(-2\) \(2\) \(-8\) \(-4\) \(q+(-2+2\zeta_{6})q^{2}+q^{3}-2\zeta_{6}q^{4}-4q^{5}+\cdots\)
201.2.e.b \(10\) \(1.605\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-2\) \(-10\) \(2\) \(-1\) \(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
201.2.e.c \(10\) \(1.605\) 10.0.\(\cdots\).1 None None \(0\) \(10\) \(6\) \(-1\) \(q+\beta _{9}q^{2}+q^{3}+(\beta _{1}-2\beta _{4}-2\beta _{5})q^{4}+\cdots\)
201.2.f.a \(2\) \(1.605\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(6\) \(q+(1-2\zeta_{6})q^{3}+2\zeta_{6}q^{4}+(4-2\zeta_{6})q^{7}+\cdots\)
201.2.f.b \(40\) \(1.605\) None None \(0\) \(0\) \(0\) \(-6\)
201.2.i.a \(50\) \(1.605\) None None \(-2\) \(5\) \(2\) \(2\)
201.2.i.b \(70\) \(1.605\) None None \(-2\) \(-7\) \(-2\) \(-10\)
201.2.j.a \(200\) \(1.605\) None None \(0\) \(-11\) \(0\) \(-22\)
201.2.m.a \(100\) \(1.605\) None None \(2\) \(10\) \(-2\) \(1\)
201.2.m.b \(120\) \(1.605\) None None \(2\) \(-12\) \(2\) \(5\)
201.2.p.a \(20\) \(1.605\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-6\) \(q+(2\zeta_{33}+\zeta_{33}^{12})q^{3}-2\zeta_{33}^{4}q^{4}+\cdots\)
201.2.p.b \(400\) \(1.605\) None None \(0\) \(-22\) \(0\) \(-38\)
201.3.b.a \(22\) \(5.477\) None None \(0\) \(0\) \(0\) \(0\)
201.3.c.a \(44\) \(5.477\) None None \(0\) \(0\) \(0\) \(8\)
201.3.g.a \(2\) \(5.477\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-6\) \(0\) \(-2\) \(q-3q^{3}+(-4+4\zeta_{6})q^{4}+(-2+2\zeta_{6})q^{7}+\cdots\)
201.3.g.b \(84\) \(5.477\) None None \(0\) \(-6\) \(0\) \(-10\)
201.3.h.a \(22\) \(5.477\) None None \(0\) \(0\) \(0\) \(-15\)
201.3.h.b \(24\) \(5.477\) None None \(0\) \(0\) \(0\) \(21\)
201.3.k.a \(440\) \(5.477\) None None \(0\) \(-11\) \(0\) \(-30\)
201.3.l.a \(220\) \(5.477\) None None \(0\) \(0\) \(0\) \(0\)
201.3.n.a \(220\) \(5.477\) None None \(0\) \(0\) \(0\) \(15\)
201.3.n.b \(240\) \(5.477\) None None \(0\) \(0\) \(0\) \(-21\)
201.3.o.a \(20\) \(5.477\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(6\) \(0\) \(2\) \(q+(3\zeta_{33}^{2}+3\zeta_{33}^{13})q^{3}+4\zeta_{33}^{8}q^{4}+\cdots\)
201.3.o.b \(840\) \(5.477\) None None \(0\) \(-16\) \(0\) \(-34\)
201.4.a.a \(1\) \(11.859\) \(\Q\) None None \(-4\) \(-3\) \(-19\) \(13\) \(-\) \(q-4q^{2}-3q^{3}+8q^{4}-19q^{5}+12q^{6}+\cdots\)
201.4.a.b \(6\) \(11.859\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(-5\) \(18\) \(-12\) \(-62\) \(-\) \(q+(-1+\beta _{1})q^{2}+3q^{3}+(2-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
201.4.a.c \(7\) \(11.859\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(-21\) \(11\) \(-33\) \(-\) \(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)
201.4.a.d \(9\) \(11.859\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(3\) \(-27\) \(12\) \(8\) \(+\) \(q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
201.4.a.e \(11\) \(11.859\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(3\) \(33\) \(8\) \(78\) \(+\) \(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{2})q^{4}+(1-\beta _{3}+\cdots)q^{5}+\cdots\)
201.4.d.a \(2\) \(11.859\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-8q^{4}-6\zeta_{6}q^{7}-3^{3}q^{9}+\cdots\)
201.4.d.b \(64\) \(11.859\) None None \(0\) \(0\) \(0\) \(0\)
201.4.e.a \(32\) \(11.859\) None None \(2\) \(96\) \(4\) \(-14\)
201.4.e.b \(36\) \(11.859\) None None \(2\) \(-108\) \(-4\) \(22\)
201.4.f.a \(132\) \(11.859\) None None \(0\) \(0\) \(0\) \(-66\)
201.4.i.a \(170\) \(11.859\) None None \(2\) \(-51\) \(4\) \(-16\)
201.4.i.b \(170\) \(11.859\) None None \(2\) \(51\) \(-4\) \(12\)
201.4.j.a \(20\) \(11.859\) \(\Q(\zeta_{33})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{33}^{18}q^{3}+(8+8\zeta_{33}+8\zeta_{33}^{2}+\cdots)q^{4}+\cdots\)
201.4.j.b \(640\) \(11.859\) None None \(0\) \(-11\) \(0\) \(-22\)
201.4.m.a \(320\) \(11.859\) None None \(-2\) \(-96\) \(-4\) \(14\)
201.4.m.b \(360\) \(11.859\) None None \(-2\) \(108\) \(4\) \(-22\)
201.4.p.a \(1320\) \(11.859\) None None \(0\) \(-22\) \(0\) \(22\)
201.5.b.a \(46\) \(20.777\) None None \(0\) \(0\) \(0\) \(0\)
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