Learn more about

Refine search

Results (displaying matches 1-50 of 310) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
448.1.l.a \(2\) \(0.224\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{7}-iq^{9}+(1+i)q^{11}+iq^{25}+\cdots\)
448.1.r.a \(4\) \(0.224\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots\)
448.1.bf.a \(8\) \(0.224\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+\zeta_{16}^{2}q^{4}+\zeta_{16}^{5}q^{7}-\zeta_{16}^{3}q^{8}+\cdots\)
448.2.a.a \(1\) \(3.577\) \(\Q\) None None \(0\) \(-2\) \(0\) \(-1\) \(-\) \(q-2q^{3}-q^{7}+q^{9}+4q^{13}+6q^{17}+\cdots\)
448.2.a.b \(1\) \(3.577\) \(\Q\) None None \(0\) \(-2\) \(0\) \(1\) \(+\) \(q-2q^{3}+q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
448.2.a.c \(1\) \(3.577\) \(\Q\) None None \(0\) \(-2\) \(4\) \(1\) \(-\) \(q-2q^{3}+4q^{5}+q^{7}+q^{9}-8q^{15}+\cdots\)
448.2.a.d \(1\) \(3.577\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-1\) \(+\) \(q-2q^{5}-q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
448.2.a.e \(1\) \(3.577\) \(\Q\) None None \(0\) \(0\) \(-2\) \(1\) \(+\) \(q-2q^{5}+q^{7}-3q^{9}-4q^{11}-2q^{13}+\cdots\)
448.2.a.f \(1\) \(3.577\) \(\Q\) None None \(0\) \(2\) \(0\) \(-1\) \(-\) \(q+2q^{3}-q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
448.2.a.g \(1\) \(3.577\) \(\Q\) None None \(0\) \(2\) \(0\) \(1\) \(-\) \(q+2q^{3}+q^{7}+q^{9}+4q^{13}+6q^{17}+\cdots\)
448.2.a.h \(1\) \(3.577\) \(\Q\) None None \(0\) \(2\) \(4\) \(-1\) \(-\) \(q+2q^{3}+4q^{5}-q^{7}+q^{9}+8q^{15}+\cdots\)
448.2.a.i \(2\) \(3.577\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(-2\) \(-2\) \(+\) \(q+(-1-\beta )q^{3}+(-1+\beta )q^{5}-q^{7}+\cdots\)
448.2.a.j \(2\) \(3.577\) \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-2\) \(2\) \(-\) \(q+(1+\beta )q^{3}+(-1+\beta )q^{5}+q^{7}+(3+\cdots)q^{9}+\cdots\)
448.2.b.a \(2\) \(3.577\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-2iq^{5}-q^{7}-q^{9}-iq^{11}+\cdots\)
448.2.b.b \(2\) \(3.577\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(2\) \(q+iq^{3}+2iq^{5}+q^{7}-q^{9}-iq^{11}+\cdots\)
448.2.b.c \(4\) \(3.577\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{12}q^{3}-\zeta_{12}q^{5}-q^{7}+(-1+\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
448.2.b.d \(4\) \(3.577\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{12}q^{3}+\zeta_{12}q^{5}+q^{7}+(-1+\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
448.2.e.a \(8\) \(3.577\) 8.0.629407744.1 \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{3}+\beta _{1}q^{5}-\beta _{4}q^{7}+(-3-\beta _{7})q^{9}+\cdots\)
448.2.e.b \(8\) \(3.577\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{2}q^{3}+\zeta_{24}^{6}q^{5}-\zeta_{24}^{4}q^{7}+\cdots\)
448.2.f.a \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-4\) \(0\) \(-4\) \(q-2q^{3}-2\zeta_{6}q^{5}+(-2-\zeta_{6})q^{7}+q^{9}+\cdots\)
448.2.f.b \(2\) \(3.577\) \(\Q(\sqrt{-7}) \) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{7}-3q^{9}-2\beta q^{11}-2\beta q^{23}+\cdots\)
448.2.f.c \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(4\) \(0\) \(4\) \(q+2q^{3}+2\zeta_{6}q^{5}+(2-\zeta_{6})q^{7}+q^{9}+\cdots\)
448.2.f.d \(8\) \(3.577\) \(\Q(\zeta_{16})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{2}q^{3}-\zeta_{16}^{5}q^{5}-\zeta_{16}^{4}q^{7}+\cdots\)
448.2.i.a \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(-1\) \(-4\) \(q+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots\)
448.2.i.b \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(-1\) \(-4\) \(q+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
448.2.i.c \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(3\) \(4\) \(q+(-1+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots\)
448.2.i.d \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-1\) \(4\) \(q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{5}+(1+2\zeta_{6})q^{7}+\cdots\)
448.2.i.e \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(3\) \(-4\) \(q+(1-\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots\)
448.2.i.f \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-1\) \(4\) \(q+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots\)
448.2.i.g \(4\) \(3.577\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(0\) \(-2\) \(2\) \(4\) \(q+(-1+\beta _{1}-\beta _{2})q^{3}+(2\beta _{1}-\beta _{2}+2\beta _{3})q^{5}+\cdots\)
448.2.i.h \(4\) \(3.577\) \(\Q(\sqrt{-3}, \sqrt{7})\) None None \(0\) \(0\) \(-6\) \(0\) \(q+\beta _{1}q^{3}+3\beta _{2}q^{5}+\beta _{3}q^{7}+4\beta _{2}q^{9}+\cdots\)
448.2.i.i \(4\) \(3.577\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+(1-\zeta_{12}^{2})q^{5}+\cdots\)
448.2.i.j \(4\) \(3.577\) \(\Q(\sqrt{2}, \sqrt{-3})\) None None \(0\) \(2\) \(2\) \(-4\) \(q+(1+\beta _{1}+\beta _{2})q^{3}+(-2\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+\cdots\)
448.2.j.a \(4\) \(3.577\) \(\Q(i, \sqrt{7})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{7}+3\beta _{1}q^{9}+(-2+2\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
448.2.j.b \(4\) \(3.577\) \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(0\) \(4\) \(q+(\beta _{2}+\beta _{3})q^{5}+(1-\beta _{2})q^{7}-3\beta _{1}q^{9}+\cdots\)
448.2.j.c \(4\) \(3.577\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(8\) \(q+(-\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+(-\zeta_{12}^{2}-\zeta_{12}^{3})q^{5}+\cdots\)
448.2.j.d \(16\) \(3.577\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(-8\) \(q-\beta _{6}q^{3}+\beta _{5}q^{5}+(-1+\beta _{13})q^{7}+\cdots\)
448.2.m.a \(2\) \(3.577\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q+(2+2i)q^{5}+iq^{7}+3iq^{9}+(-1+\cdots)q^{11}+\cdots\)
448.2.m.b \(2\) \(3.577\) \(\Q(\sqrt{-1}) \) None None \(0\) \(4\) \(-4\) \(0\) \(q+(2-2i)q^{3}+(-2-2i)q^{5}-iq^{7}+\cdots\)
448.2.m.c \(8\) \(3.577\) 8.0.214798336.3 None None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{4}q^{3}+\beta _{1}q^{5}+\beta _{5}q^{7}+(-\beta _{5}-\beta _{7})q^{9}+\cdots\)
448.2.m.d \(12\) \(3.577\) 12.0.\(\cdots\).1 None None \(0\) \(-4\) \(4\) \(0\) \(q+\beta _{6}q^{3}+(1+\beta _{2}+\beta _{3}+\beta _{5})q^{5}-\beta _{3}q^{7}+\cdots\)
448.2.p.a \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(-3\) \(-4\) \(q+(-1+\zeta_{6})q^{3}+(-2+\zeta_{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
448.2.p.b \(2\) \(3.577\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-3\) \(4\) \(q+(1-\zeta_{6})q^{3}+(-2+\zeta_{6})q^{5}+(1+2\zeta_{6})q^{7}+\cdots\)
448.2.p.c \(4\) \(3.577\) \(\Q(\sqrt{-3}, \sqrt{7})\) None None \(0\) \(0\) \(6\) \(0\) \(q+\beta _{1}q^{3}+(2+\beta _{2})q^{5}+\beta _{3}q^{7}+4\beta _{2}q^{9}+\cdots\)
448.2.p.d \(4\) \(3.577\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(6\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+(1+\zeta_{12}^{2})q^{5}+\cdots\)
448.2.p.e \(16\) \(3.577\) 16.0.\(\cdots\).2 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{14}q^{3}+\beta _{13}q^{5}+\beta _{9}q^{7}+(-\beta _{3}+\cdots)q^{9}+\cdots\)
448.2.q.a \(8\) \(3.577\) 8.0.12960000.1 None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{2}+\beta _{7})q^{3}+\beta _{6}q^{5}+(2\beta _{1}-\beta _{5}+\cdots)q^{7}+\cdots\)
448.2.q.b \(12\) \(3.577\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(-6\) \(0\) \(q-\beta _{5}q^{3}+(\beta _{6}-\beta _{7})q^{5}+(\beta _{4}-\beta _{10}+\cdots)q^{7}+\cdots\)
448.2.q.c \(12\) \(3.577\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(6\) \(0\) \(q-\beta _{5}q^{3}+(-\beta _{6}+\beta _{7})q^{5}+(-\beta _{4}+\beta _{10}+\cdots)q^{7}+\cdots\)
448.2.t.a \(8\) \(3.577\) 8.0.49787136.1 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{3}+\beta _{6}q^{5}+(\beta _{5}-\beta _{7})q^{7}+(-2+\cdots)q^{9}+\cdots\)
Next

Download all search results for