Learn more about

Refine search

Results (displaying matches 1-50 of 152) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
216.1.h.a \(1\) \(0.108\) \(\Q\) \(\Q(\sqrt{-6}) \) None \(-1\) \(0\) \(1\) \(-1\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
216.1.h.b \(1\) \(0.108\) \(\Q\) \(\Q(\sqrt{-6}) \) None \(1\) \(0\) \(-1\) \(-1\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
216.1.p.a \(2\) \(0.108\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(1\) \(0\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}+\zeta_{6}^{2}q^{11}+\cdots\)
216.1.r.a \(6\) \(0.108\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{2}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{4}q^{4}+\cdots\)
216.2.a.a \(1\) \(1.725\) \(\Q\) None None \(0\) \(0\) \(-4\) \(-3\) \(+\) \(q-4q^{5}-3q^{7}-4q^{11}+q^{13}+4q^{17}+\cdots\)
216.2.a.b \(1\) \(1.725\) \(\Q\) None None \(0\) \(0\) \(-1\) \(3\) \(-\) \(q-q^{5}+3q^{7}+5q^{11}+4q^{13}-8q^{17}+\cdots\)
216.2.a.c \(1\) \(1.725\) \(\Q\) None None \(0\) \(0\) \(1\) \(3\) \(-\) \(q+q^{5}+3q^{7}-5q^{11}+4q^{13}+8q^{17}+\cdots\)
216.2.a.d \(1\) \(1.725\) \(\Q\) None None \(0\) \(0\) \(4\) \(-3\) \(-\) \(q+4q^{5}-3q^{7}+4q^{11}+q^{13}-4q^{17}+\cdots\)
216.2.d.a \(4\) \(1.725\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{8}^{2}q^{2}-2q^{4}+(\zeta_{8}-\zeta_{8}^{2})q^{5}+(-1+\cdots)q^{7}+\cdots\)
216.2.d.b \(4\) \(1.725\) \(\Q(i, \sqrt{7})\) None None \(0\) \(0\) \(0\) \(4\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+q^{7}+\cdots\)
216.2.d.c \(8\) \(1.725\) 8.0.629407744.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+\beta _{4}q^{5}+(-\beta _{2}-\beta _{6}+\cdots)q^{7}+\cdots\)
216.2.f.a \(8\) \(1.725\) 8.0.\(\cdots\).3 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+(-1-\beta _{1}-\beta _{4})q^{4}+\beta _{2}q^{5}+\cdots\)
216.2.f.b \(8\) \(1.725\) 8.0.170772624.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{2}-\beta _{3}q^{4}+\beta _{2}q^{5}+(\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
216.2.i.a \(2\) \(1.725\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-1\) \(3\) \(q-\zeta_{6}q^{5}+(3-3\zeta_{6})q^{7}+(5-5\zeta_{6})q^{11}+\cdots\)
216.2.i.b \(4\) \(1.725\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(-1\) \(-3\) \(q+(-\beta _{1}+\beta _{3})q^{5}+(-2+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
216.2.l.a \(4\) \(1.725\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+2\beta _{2}q^{4}+2\beta _{3}q^{8}+(3-\beta _{1}+\cdots)q^{11}+\cdots\)
216.2.l.b \(16\) \(1.725\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(3\) \(0\) \(0\) \(0\) \(q+\beta _{11}q^{2}+(-1-\beta _{1}+\beta _{2}-\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
216.2.n.a \(4\) \(1.725\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(0\) \(-8\) \(q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+2\zeta_{12}q^{4}+\cdots\)
216.2.n.b \(16\) \(1.725\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-1\) \(0\) \(0\) \(6\) \(q+\beta _{7}q^{2}+(\beta _{4}-\beta _{9})q^{4}+(\beta _{5}-\beta _{6}-\beta _{8}+\cdots)q^{5}+\cdots\)
216.2.q.a \(24\) \(1.725\) None None \(0\) \(0\) \(0\) \(-3\)
216.2.q.b \(30\) \(1.725\) None None \(0\) \(0\) \(0\) \(3\)
216.2.t.a \(204\) \(1.725\) None None \(-6\) \(0\) \(0\) \(-12\)
216.2.v.a \(12\) \(1.725\) 12.0.\(\cdots\).1 \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{11}q^{2}+(\beta _{5}-\beta _{8}-\beta _{11})q^{3}-2\beta _{4}q^{4}+\cdots\)
216.2.v.b \(192\) \(1.725\) None None \(-6\) \(-12\) \(0\) \(0\)
216.3.b.a \(16\) \(5.886\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{7}q^{5}-\beta _{6}q^{7}+\cdots\)
216.3.b.b \(16\) \(5.886\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{6}q^{5}-\beta _{14}q^{7}+\cdots\)
216.3.e.a \(2\) \(5.886\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-6\) \(q+\beta q^{5}-3q^{7}+7\beta q^{11}+7q^{13}+5\beta q^{17}+\cdots\)
216.3.e.b \(2\) \(5.886\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(6\) \(q+\beta q^{5}+3q^{7}+\beta q^{11}-17q^{13}+5\beta q^{17}+\cdots\)
216.3.e.c \(4\) \(5.886\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(-12\) \(q+(-\zeta_{8}+\zeta_{8}^{2})q^{5}+(-3+\zeta_{8}^{3})q^{7}+\cdots\)
216.3.h.a \(2\) \(5.886\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-6}) \) None \(-4\) \(0\) \(-2\) \(10\) \(q-2q^{2}+4q^{4}+(-1+\beta )q^{5}+(5+\beta )q^{7}+\cdots\)
216.3.h.b \(2\) \(5.886\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-6}) \) None \(4\) \(0\) \(2\) \(10\) \(q+2q^{2}+4q^{4}+(1+\beta )q^{5}+(5-\beta )q^{7}+\cdots\)
216.3.h.c \(6\) \(5.886\) 6.0.121670000.1 None None \(-1\) \(0\) \(-2\) \(-10\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+(-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
216.3.h.d \(6\) \(5.886\) 6.0.121670000.1 None None \(1\) \(0\) \(2\) \(-10\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+(\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
216.3.h.e \(8\) \(5.886\) 8.0.629407744.1 None None \(0\) \(0\) \(0\) \(-48\) \(q+\beta _{1}q^{2}+(-1+\beta _{5}+\beta _{7})q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
216.3.h.f \(8\) \(5.886\) 8.0.\(\cdots\).11 None None \(0\) \(0\) \(0\) \(48\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}-\beta _{5})q^{5}+(6+\cdots)q^{7}+\cdots\)
216.3.j.a \(44\) \(5.886\) None None \(3\) \(0\) \(0\) \(-2\)
216.3.m.a \(4\) \(5.886\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(-6\) \(-6\) \(q+(-1+\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}-3\beta _{2}+\cdots)q^{7}+\cdots\)
216.3.m.b \(8\) \(5.886\) 8.0.\(\cdots\).9 None None \(0\) \(0\) \(6\) \(6\) \(q+(1-\beta _{1}-\beta _{2}+\beta _{4})q^{5}+(1-\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots\)
216.3.p.a \(4\) \(5.886\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-2\beta _{1}q^{2}+(-4+4\beta _{1})q^{4}+8q^{8}+\cdots\)
216.3.p.b \(40\) \(5.886\) None None \(5\) \(0\) \(0\) \(0\)
216.3.r.a \(12\) \(5.886\) 12.0.\(\cdots\).1 \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2\beta _{2}q^{2}+(\beta _{5}-\beta _{8}-\beta _{11})q^{3}+4\beta _{4}q^{4}+\cdots\)
216.3.r.b \(408\) \(5.886\) None None \(-6\) \(-12\) \(0\) \(0\)
216.3.u.a \(108\) \(5.886\) None None \(0\) \(0\) \(0\) \(0\)
216.3.x.a \(420\) \(5.886\) None None \(-6\) \(0\) \(0\) \(-12\)
216.4.a.a \(1\) \(12.744\) \(\Q\) None None \(0\) \(0\) \(-4\) \(3\) \(-\) \(q-4q^{5}+3q^{7}-28q^{11}-11q^{13}+\cdots\)
216.4.a.b \(1\) \(12.744\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-9\) \(-\) \(q-q^{5}-9q^{7}+17q^{11}-44q^{13}-56q^{17}+\cdots\)
216.4.a.c \(1\) \(12.744\) \(\Q\) None None \(0\) \(0\) \(1\) \(-9\) \(-\) \(q+q^{5}-9q^{7}-17q^{11}-44q^{13}+56q^{17}+\cdots\)
216.4.a.d \(1\) \(12.744\) \(\Q\) None None \(0\) \(0\) \(4\) \(3\) \(+\) \(q+4q^{5}+3q^{7}+28q^{11}-11q^{13}+\cdots\)
216.4.a.e \(2\) \(12.744\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(-8\) \(24\) \(+\) \(q+(-4-\beta )q^{5}+(12+\beta )q^{7}-q^{11}+\cdots\)
216.4.a.f \(2\) \(12.744\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-4\) \(-6\) \(-\) \(q+(-2-\beta )q^{5}+(-3+2\beta )q^{7}+(-26+\cdots)q^{11}+\cdots\)
Next

Download all search results for