Learn more about

Refine search

Results (displaying matches 1-50 of 117) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
688.1.b.a \(1\) \(0.343\) \(\Q\) \(\Q(\sqrt{-43}) \) None \(0\) \(0\) \(0\) \(0\) \(q+q^{9}+q^{11}-q^{13}-q^{17}+q^{23}+\cdots\)
688.1.b.b \(2\) \(0.343\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{3}-\beta q^{5}-\beta q^{7}-q^{9}+q^{11}+\cdots\)
688.1.r.a \(4\) \(0.343\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{11}+\cdots\)
688.2.a.a \(1\) \(5.494\) \(\Q\) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q-2q^{5}+2q^{7}-3q^{9}-q^{11}-q^{13}+\cdots\)
688.2.a.b \(1\) \(5.494\) \(\Q\) None None \(0\) \(2\) \(-4\) \(0\) \(+\) \(q+2q^{3}-4q^{5}+q^{9}-3q^{11}-5q^{13}+\cdots\)
688.2.a.c \(1\) \(5.494\) \(\Q\) None None \(0\) \(2\) \(0\) \(4\) \(-\) \(q+2q^{3}+4q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
688.2.a.d \(2\) \(5.494\) \(\Q(\sqrt{2}) \) None None \(0\) \(-4\) \(0\) \(0\) \(+\) \(q+(-2+\beta )q^{3}+\beta q^{5}-\beta q^{7}+(3-4\beta )q^{9}+\cdots\)
688.2.a.e \(2\) \(5.494\) \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(-3\) \(0\) \(+\) \(q-\beta q^{3}+(-1-\beta )q^{5}+(-2+4\beta )q^{7}+\cdots\)
688.2.a.f \(2\) \(5.494\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(4\) \(4\) \(-\) \(q+\beta q^{3}+(2-\beta )q^{5}+(2-\beta )q^{7}-q^{9}+\cdots\)
688.2.a.g \(2\) \(5.494\) \(\Q(\sqrt{21}) \) None None \(0\) \(1\) \(3\) \(-4\) \(-\) \(q+\beta q^{3}+(1+\beta )q^{5}-2q^{7}+(2+\beta )q^{9}+\cdots\)
688.2.a.h \(2\) \(5.494\) \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(-2\) \(2\) \(-\) \(q+(1+\beta )q^{3}+(-1+\beta )q^{5}+(1-\beta )q^{7}+\cdots\)
688.2.a.i \(3\) \(5.494\) 3.3.229.1 None None \(0\) \(-3\) \(1\) \(-6\) \(+\) \(q+(-1+\beta _{1})q^{3}-\beta _{2}q^{5}-2q^{7}+(1+\cdots)q^{9}+\cdots\)
688.2.a.j \(5\) \(5.494\) 5.5.7998268.1 None None \(0\) \(1\) \(1\) \(-2\) \(-\) \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+(-1+\beta _{2}-\beta _{4})q^{7}+\cdots\)
688.2.g.a \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-4\) \(0\) \(-4\) \(q-2q^{3}-2\zeta_{6}q^{5}-2q^{7}+q^{9}-\zeta_{6}q^{11}+\cdots\)
688.2.g.b \(2\) \(5.494\) \(\Q(\sqrt{-43}) \) \(\Q(\sqrt{-43}) \) None \(0\) \(0\) \(0\) \(0\) \(q-3q^{9}-\beta q^{11}+3q^{13}-5q^{17}-\beta q^{23}+\cdots\)
688.2.g.c \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(4\) \(0\) \(4\) \(q+2q^{3}+2\zeta_{6}q^{5}+2q^{7}+q^{9}-\zeta_{6}q^{11}+\cdots\)
688.2.g.d \(4\) \(5.494\) \(\Q(\sqrt{-3}, \sqrt{-43})\) \(\Q(\sqrt{-43}) \) None \(0\) \(0\) \(0\) \(0\) \(q-3q^{9}+(-\beta _{1}-\beta _{3})q^{11}+(-2+\beta _{2}+\cdots)q^{13}+\cdots\)
688.2.g.e \(12\) \(5.494\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{3}+\beta _{8}q^{5}+\beta _{10}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
688.2.i.a \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(-1\) \(1\) \(q+(-3+3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{5}+\zeta_{6}q^{7}+\cdots\)
688.2.i.b \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(1\) \(5\) \(q+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+5\zeta_{6}q^{7}+\cdots\)
688.2.i.c \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-3\) \(-1\) \(q+(1-\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}-\zeta_{6}q^{7}+\cdots\)
688.2.i.d \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(1\) \(3\) \(q+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+3\zeta_{6}q^{7}+\cdots\)
688.2.i.e \(4\) \(5.494\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(-3\) \(2\) \(-4\) \(q+(-1-\beta _{1}-\beta _{3})q^{3}+(2-2\beta _{1}+2\beta _{3})q^{5}+\cdots\)
688.2.i.f \(4\) \(5.494\) \(\Q(\sqrt{-3}, \sqrt{17})\) None None \(0\) \(1\) \(-3\) \(3\) \(q+\beta _{1}q^{3}+(\beta _{1}-2\beta _{2})q^{5}+(2+\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots\)
688.2.i.g \(8\) \(5.494\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(-1\) \(0\) \(-4\) \(q+(\beta _{4}-\beta _{6})q^{3}+\beta _{5}q^{5}+(-1+\beta _{2}+\cdots)q^{7}+\cdots\)
688.2.i.h \(8\) \(5.494\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(3\) \(0\) \(-2\) \(q+(1-\beta _{1}+\beta _{2})q^{3}-\beta _{5}q^{5}+(\beta _{4}+\beta _{7})q^{7}+\cdots\)
688.2.i.i \(10\) \(5.494\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(5\) \(2\) \(-4\) \(q+(1-\beta _{1}+\beta _{7})q^{3}+(\beta _{1}-\beta _{6})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
688.2.j.a \(172\) \(5.494\) None None \(0\) \(0\) \(0\) \(0\)
688.2.k.a \(168\) \(5.494\) None None \(0\) \(0\) \(0\) \(0\)
688.2.o.a \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(-3\) \(-1\) \(q+(-1+\zeta_{6})q^{3}+(-1-\zeta_{6})q^{5}-\zeta_{6}q^{7}+\cdots\)
688.2.o.b \(2\) \(5.494\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-3\) \(1\) \(q+(1-\zeta_{6})q^{3}+(-1-\zeta_{6})q^{5}+\zeta_{6}q^{7}+\cdots\)
688.2.o.c \(6\) \(5.494\) 6.0.1714608.1 None None \(0\) \(-3\) \(3\) \(-3\) \(q+\beta _{4}q^{3}+(1-\beta _{1}+\beta _{2}+\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots\)
688.2.o.d \(6\) \(5.494\) 6.0.3636603.4 None None \(0\) \(-1\) \(0\) \(2\) \(q+(-\beta _{1}-\beta _{2}+\beta _{4})q^{3}+(\beta _{1}+\beta _{4})q^{7}+\cdots\)
688.2.o.e \(6\) \(5.494\) 6.0.3636603.4 None None \(0\) \(1\) \(0\) \(-2\) \(q+(\beta _{1}+\beta _{2}-\beta _{4})q^{3}+(-\beta _{1}-\beta _{4})q^{7}+\cdots\)
688.2.o.f \(6\) \(5.494\) 6.0.1714608.1 None None \(0\) \(3\) \(3\) \(3\) \(q-\beta _{4}q^{3}+(1-\beta _{1}+\beta _{2}+\beta _{5})q^{5}+(1+\cdots)q^{7}+\cdots\)
688.2.o.g \(16\) \(5.494\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{7}q^{3}+\beta _{4}q^{5}+(-\beta _{9}-\beta _{10})q^{7}+\cdots\)
688.2.u.a \(6\) \(5.494\) \(\Q(\zeta_{14})\) None None \(0\) \(-8\) \(-3\) \(-4\) \(q+(-2+2\zeta_{14}+\zeta_{14}^{3}+\zeta_{14}^{5})q^{3}+\cdots\)
688.2.u.b \(6\) \(5.494\) \(\Q(\zeta_{14})\) None None \(0\) \(-2\) \(-3\) \(0\) \(q+(-\zeta_{14}^{3}-\zeta_{14}^{5})q^{3}+(-\zeta_{14}+\zeta_{14}^{2}+\cdots)q^{5}+\cdots\)
688.2.u.c \(6\) \(5.494\) \(\Q(\zeta_{14})\) None None \(0\) \(3\) \(2\) \(16\) \(q+(1-\zeta_{14}+2\zeta_{14}^{4})q^{3}-2\zeta_{14}^{2}q^{5}+\cdots\)
688.2.u.d \(12\) \(5.494\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(6\) \(-3\) \(4\) \(q+(\beta _{6}+\beta _{9})q^{3}+(-1+\beta _{3}+\beta _{6}+\beta _{7}+\cdots)q^{5}+\cdots\)
688.2.u.e \(12\) \(5.494\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(10\) \(3\) \(0\) \(q+(1-\beta _{10})q^{3}+(-1+\beta _{1}-\beta _{2}-2\beta _{3}+\cdots)q^{5}+\cdots\)
688.2.u.f \(18\) \(5.494\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(-2\) \(-3\) \(8\) \(q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\beta _{7}+\cdots)q^{3}+\cdots\)
688.2.u.g \(30\) \(5.494\) None None \(0\) \(-6\) \(1\) \(4\)
688.2.u.h \(36\) \(5.494\) None None \(0\) \(6\) \(1\) \(0\)
688.2.x.a \(344\) \(5.494\) None None \(-8\) \(-2\) \(-2\) \(0\)
688.2.y.a \(344\) \(5.494\) None None \(0\) \(-6\) \(-6\) \(-12\)
688.2.bb.a \(36\) \(5.494\) None None \(0\) \(0\) \(0\) \(0\)
688.2.bb.b \(96\) \(5.494\) None None \(0\) \(0\) \(0\) \(0\)
688.2.bg.a \(12\) \(5.494\) \(\Q(\zeta_{21})\) None None \(0\) \(-8\) \(3\) \(1\) \(q+(-1-\zeta_{21}^{7}+\zeta_{21}^{9})q^{3}+(1-\zeta_{21}+\cdots)q^{5}+\cdots\)
688.2.bg.b \(24\) \(5.494\) None None \(0\) \(6\) \(3\) \(-3\)
Next

Download all 117 search results for