Learn more

Refine search


Results (1-50 of 121 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
136.1.e.a \(1\) \(0.068\) \(\Q\) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-34}) \) \(\Q(\sqrt{17}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots\)
136.1.j.a \(2\) \(0.068\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots\)
136.1.p.a \(4\) \(0.068\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
136.2.a.a \(1\) \(1.086\) \(\Q\) None None \(0\) \(-2\) \(-2\) \(-2\) \(+\) \(q-2q^{3}-2q^{5}-2q^{7}+q^{9}-6q^{11}+\cdots\)
136.2.a.b \(1\) \(1.086\) \(\Q\) None None \(0\) \(2\) \(0\) \(0\) \(-\) \(q+2q^{3}+q^{9}+2q^{11}-6q^{13}-q^{17}+\cdots\)
136.2.a.c \(2\) \(1.086\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(4\) \(2\) \(-\) \(q+(-1-\beta )q^{3}+2q^{5}+(1+\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
136.2.b.a \(2\) \(1.086\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+iq^{7}-q^{9}+iq^{11}-2q^{13}+\cdots\)
136.2.b.b \(2\) \(1.086\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}+\beta q^{7}+3q^{9}-2\beta q^{11}+2q^{13}+\cdots\)
136.2.c.a \(8\) \(1.086\) 8.0.1649659456.5 None None \(-1\) \(0\) \(0\) \(8\) \(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
136.2.c.b \(8\) \(1.086\) 8.0.4469724736.1 None None \(-1\) \(0\) \(0\) \(-12\) \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{6})q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
136.2.h.a \(16\) \(1.086\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(-2\) \(0\) \(0\) \(0\) \(q-\beta _{5}q^{2}+\beta _{12}q^{3}-\beta _{3}q^{4}-\beta _{6}q^{5}+\cdots\)
136.2.i.a \(8\) \(1.086\) 8.0.342102016.5 None None \(0\) \(0\) \(0\) \(4\) \(q-\beta _{5}q^{2}+(-\beta _{2}+\beta _{6})q^{3}+\beta _{7}q^{4}+\cdots\)
136.2.i.b \(24\) \(1.086\) None None \(0\) \(0\) \(0\) \(-8\)
136.2.k.a \(2\) \(1.086\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(-6\) \(-6\) \(q+(-1-i)q^{3}+(-3-3i)q^{5}+(-3+\cdots)q^{7}+\cdots\)
136.2.k.b \(2\) \(1.086\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(4\) \(4\) \(q+(-1-i)q^{3}+(2+2i)q^{5}+(2-2i)q^{7}+\cdots\)
136.2.k.c \(2\) \(1.086\) \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(2\) \(-2\) \(q+(1+i)q^{3}+(1+i)q^{5}+(-1+i)q^{7}+\cdots\)
136.2.k.d \(2\) \(1.086\) \(\Q(\sqrt{-1}) \) None None \(0\) \(4\) \(-2\) \(4\) \(q+(2+2i)q^{3}+(-1-i)q^{5}+(2-2i)q^{7}+\cdots\)
136.2.n.a \(4\) \(1.086\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(4\) \(-4\) \(q+(-1-\zeta_{8})q^{3}+(1-\zeta_{8})q^{5}+(-1+\cdots)q^{7}+\cdots\)
136.2.n.b \(4\) \(1.086\) \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(-8\) \(4\) \(q+(1+\zeta_{8}-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(-2+2\zeta_{8}+\cdots)q^{5}+\cdots\)
136.2.n.c \(12\) \(1.086\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(4\) \(0\) \(q+\beta _{2}q^{3}+\beta _{8}q^{5}+(1-\beta _{3}-\beta _{6}-\beta _{8}+\cdots)q^{7}+\cdots\)
136.2.o.a \(64\) \(1.086\) None None \(-4\) \(0\) \(0\) \(-8\)
136.2.s.a \(8\) \(1.086\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-8\) \(0\) \(0\) \(q+(-\zeta_{16}+\zeta_{16}^{5})q^{2}+(-1-\zeta_{16}+\cdots)q^{3}+\cdots\)
136.2.s.b \(8\) \(1.086\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-2}) \) None \(0\) \(8\) \(0\) \(0\) \(q+(\zeta_{16}-\zeta_{16}^{5})q^{2}+(1+\zeta_{16}-\zeta_{16}^{2}+\cdots)q^{3}+\cdots\)
136.2.s.c \(112\) \(1.086\) None None \(-8\) \(-16\) \(0\) \(0\)
136.3.e.a \(2\) \(3.706\) \(\Q(\sqrt{17}) \) \(\Q(\sqrt{-34}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-2q^{2}+4q^{4}+\beta q^{5}-\beta q^{7}-8q^{8}+\cdots\)
136.3.e.b \(2\) \(3.706\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) None \(4\) \(0\) \(0\) \(0\) \(q+2q^{2}+\beta q^{3}+4q^{4}+2\beta q^{6}+8q^{8}+\cdots\)
136.3.e.c \(2\) \(3.706\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-34}) \) None \(4\) \(0\) \(0\) \(0\) \(q+2q^{2}+4q^{4}+\beta q^{5}-2\beta q^{7}+8q^{8}+\cdots\)
136.3.e.d \(28\) \(3.706\) None None \(-6\) \(0\) \(0\) \(0\)
136.3.f.a \(32\) \(3.706\) None None \(2\) \(0\) \(0\) \(0\)
136.3.j.a \(4\) \(3.706\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(4\) \(0\) \(0\) \(q+2\zeta_{8}^{2}q^{2}+(1+\zeta_{8}+\zeta_{8}^{2})q^{3}-4q^{4}+\cdots\)
136.3.j.b \(64\) \(3.706\) None None \(0\) \(-8\) \(0\) \(0\)
136.3.p.a \(4\) \(3.706\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-8\) \(0\) \(0\) \(q-2\zeta_{8}^{3}q^{2}+(-2-2\zeta_{8}-3\zeta_{8}^{2}+3\zeta_{8}^{3})q^{3}+\cdots\)
136.3.p.b \(4\) \(3.706\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(8\) \(0\) \(0\) \(q-2\zeta_{8}^{3}q^{2}+(2+2\zeta_{8}+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+\cdots\)
136.3.p.c \(128\) \(3.706\) None None \(-4\) \(-8\) \(0\) \(0\)
136.3.q.a \(272\) \(3.706\) None None \(-8\) \(0\) \(0\) \(-16\)
136.3.t.a \(32\) \(3.706\) None None \(0\) \(-8\) \(0\) \(8\)
136.3.t.b \(40\) \(3.706\) None None \(0\) \(8\) \(0\) \(-8\)
136.4.a.a \(2\) \(8.024\) \(\Q(\sqrt{3}) \) None None \(0\) \(4\) \(-12\) \(-36\) \(-\) \(q+(2+\beta )q^{3}+(-6-2\beta )q^{5}+(-18+\cdots)q^{7}+\cdots\)
136.4.a.b \(3\) \(8.024\) 3.3.8396.1 None None \(0\) \(-4\) \(-8\) \(-2\) \(-\) \(q+(-1+\beta _{2})q^{3}+(-3+\beta _{1}-2\beta _{2})q^{5}+\cdots\)
136.4.a.c \(3\) \(8.024\) 3.3.1556.1 None None \(0\) \(8\) \(2\) \(12\) \(+\) \(q+(3-\beta _{2})q^{3}+(1-\beta _{1})q^{5}+(4-\beta _{1}+\cdots)q^{7}+\cdots\)
136.4.a.d \(4\) \(8.024\) 4.4.550476.1 None None \(0\) \(-2\) \(8\) \(-22\) \(+\) \(q-\beta _{1}q^{3}+(1-\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+\cdots\)
136.4.b.a \(6\) \(8.024\) \(\mathbb{Q}[x]/(x^{6} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}-\beta _{4}q^{5}+(-\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
136.4.b.b \(8\) \(8.024\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{3}-\beta _{4}q^{5}+(-\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
136.4.c.a \(24\) \(8.024\) None None \(1\) \(0\) \(0\) \(-56\)
136.4.c.b \(24\) \(8.024\) None None \(1\) \(0\) \(0\) \(84\)
136.4.h.a \(52\) \(8.024\) None None \(-2\) \(0\) \(0\) \(0\)
136.4.i.a \(104\) \(8.024\) None None \(0\) \(0\) \(0\) \(-4\)
136.4.k.a \(14\) \(8.024\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(-4\) \(8\) \(-10\) \(q+\beta _{1}q^{3}+(1-\beta _{5}+\beta _{7})q^{5}+(-1-\beta _{5}+\cdots)q^{7}+\cdots\)
136.4.k.b \(14\) \(8.024\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(6\) \(6\) \(10\) \(q-\beta _{3}q^{3}-\beta _{7}q^{5}+(1-\beta _{5}-\beta _{8})q^{7}+\cdots\)
136.4.n.a \(24\) \(8.024\) None None \(0\) \(0\) \(-28\) \(0\)
Next   Download to