Learn more

Refine search


Results (1-50 of 58 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1156.1.c.a \(1\) \(0.577\) \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \) \(\Q(\sqrt{17}) \) \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}+q^{9}-2q^{13}+q^{16}+\cdots\)
1156.1.c.b \(2\) \(0.577\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta q^{5}-q^{8}+q^{9}+\beta q^{10}+\cdots\)
1156.1.d.a \(2\) \(0.577\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta q^{5}+q^{8}-q^{9}-\beta q^{10}+\cdots\)
1156.1.f.a \(2\) \(0.577\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \) \(\Q(\sqrt{17}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}-q^{4}-iq^{8}-iq^{9}+q^{13}+\cdots\)
1156.1.f.b \(2\) \(0.577\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}-q^{4}+(1-i)q^{5}+iq^{8}-iq^{9}+\cdots\)
1156.1.g.a \(4\) \(0.577\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \) \(\Q(\sqrt{17}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{8}-\zeta_{8}q^{9}+\cdots\)
1156.1.g.b \(8\) \(0.577\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{6}q^{2}-\zeta_{16}^{4}q^{4}+(-\zeta_{16}^{3}-\zeta_{16}^{7}+\cdots)q^{5}+\cdots\)
1156.1.l.a \(16\) \(0.577\) \(\Q(\zeta_{34})\) \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(-17\) \(0\) \(q-\zeta_{34}^{10}q^{2}-\zeta_{34}^{3}q^{4}+(-1+\zeta_{34}^{8}+\cdots)q^{5}+\cdots\)
1156.1.m.a \(16\) \(0.577\) \(\Q(\zeta_{34})\) \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(15\) \(0\) \(q+\zeta_{34}^{6}q^{2}+\zeta_{34}^{12}q^{4}+(1-\zeta_{34}^{15}+\cdots)q^{5}+\cdots\)
1156.1.o.a \(32\) \(0.577\) \(\Q(\zeta_{68})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{68}^{15}q^{2}+\zeta_{68}^{30}q^{4}+(-\zeta_{68}^{12}+\cdots)q^{5}+\cdots\)
1156.2.a.a \(2\) \(9.231\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(2\) \(-\) \(q+(-1+\beta )q^{3}-2\beta q^{5}+(1-\beta )q^{7}+\cdots\)
1156.2.a.b \(2\) \(9.231\) \(\Q(\sqrt{21}) \) None None \(0\) \(-1\) \(-3\) \(-5\) \(+\) \(q-\beta q^{3}+(-1-\beta )q^{5}+(-3+\beta )q^{7}+\cdots\)
1156.2.a.c \(2\) \(9.231\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+\beta q^{3}+2\beta q^{5}+3\beta q^{7}-q^{9}+\beta q^{11}+\cdots\)
1156.2.a.d \(2\) \(9.231\) \(\Q(\sqrt{21}) \) None None \(0\) \(1\) \(3\) \(5\) \(-\) \(q+\beta q^{3}+(1+\beta )q^{5}+(3-\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
1156.2.a.e \(3\) \(9.231\) \(\Q(\zeta_{18})^+\) None None \(0\) \(-3\) \(-6\) \(6\) \(+\) \(q+(-1-\beta _{1})q^{3}+(-2+\beta _{1}-\beta _{2})q^{5}+\cdots\)
1156.2.a.f \(3\) \(9.231\) \(\Q(\zeta_{18})^+\) None None \(0\) \(3\) \(6\) \(-6\) \(-\) \(q+(1+\beta _{1})q^{3}+(2-\beta _{1}+\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots\)
1156.2.a.g \(4\) \(9.231\) \(\Q(\zeta_{16})^+\) None None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta _{1}q^{3}-\beta _{1}q^{5}+\beta _{3}q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
1156.2.a.h \(4\) \(9.231\) \(\Q(\sqrt{2}, \sqrt{13})\) None None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+(\beta _{1}+\beta _{2})q^{3}-\beta _{2}q^{5}+(\beta _{1}+\beta _{2})q^{7}+\cdots\)
1156.2.b.a \(4\) \(9.231\) \(\Q(\sqrt{-2}, \sqrt{13})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+\beta _{2}q^{5}-\beta _{1}q^{7}+(-4-\beta _{3})q^{9}+\cdots\)
1156.2.b.b \(4\) \(9.231\) \(\Q(i, \sqrt{21})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
1156.2.b.c \(4\) \(9.231\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{3}+(\zeta_{12}+\zeta_{12}^{2})q^{5}-\zeta_{12}^{2}q^{7}+\cdots\)
1156.2.b.d \(4\) \(9.231\) 4.0.2048.2 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}-\beta _{1}q^{5}+\beta _{3}q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
1156.2.b.e \(6\) \(9.231\) 6.0.419904.1 None None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}+\beta _{3}+\beta _{5})q^{3}+(-\beta _{1}+2\beta _{3}+\cdots)q^{5}+\cdots\)
1156.2.e.a \(2\) \(9.231\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(4\) \(6\) \(q+(-1-i)q^{3}+(2+2i)q^{5}+(3-3i)q^{7}+\cdots\)
1156.2.e.b \(2\) \(9.231\) \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(-4\) \(-6\) \(q+(1+i)q^{3}+(-2-2i)q^{5}+(-3+3i)q^{7}+\cdots\)
1156.2.e.c \(4\) \(9.231\) \(\Q(i, \sqrt{13})\) None None \(0\) \(2\) \(4\) \(-2\) \(q+(1-\beta _{1}+\beta _{3})q^{3}+(1-\beta _{1})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1156.2.e.d \(8\) \(9.231\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}-\zeta_{24}^{2})q^{3}+(\zeta_{24}-2\zeta_{24}^{2}+\cdots)q^{5}+\cdots\)
1156.2.e.e \(8\) \(9.231\) 8.0.\(\cdots\).8 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(-\beta _{6}-3\beta _{7})q^{7}+\cdots\)
1156.2.e.f \(8\) \(9.231\) \(\Q(\zeta_{16})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{3}+\zeta_{16}q^{5}-\zeta_{16}^{5}q^{7}+(-\zeta_{16}^{2}+\cdots)q^{9}+\cdots\)
1156.2.e.g \(12\) \(9.231\) 12.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{3}+\beta _{5})q^{3}+(-\beta _{1}+2\beta _{3}+\cdots)q^{5}+\cdots\)
1156.2.h.a \(4\) \(9.231\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(4\) \(q+(-1-\zeta_{8})q^{3}+(\zeta_{8}^{2}+\zeta_{8}^{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
1156.2.h.b \(4\) \(9.231\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+(-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+(-1+\zeta_{8})q^{5}+\cdots\)
1156.2.h.c \(4\) \(9.231\) \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(-4\) \(q+(1+\zeta_{8})q^{3}+(-\zeta_{8}^{2}-\zeta_{8}^{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1156.2.h.d \(8\) \(9.231\) \(\Q(\zeta_{16})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{3}+2\zeta_{16}^{6}q^{5}+3\zeta_{16}^{7}q^{7}+\cdots\)
1156.2.h.e \(16\) \(9.231\) 16.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{10}q^{3}-\beta _{8}q^{5}-\beta _{15}q^{7}+(4\beta _{5}+\cdots)q^{9}+\cdots\)
1156.2.h.f \(16\) \(9.231\) \(\Q(\zeta_{48})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{15}q^{3}+(-\zeta_{48}^{3}+2\zeta_{48}^{5})q^{5}+\cdots\)
1156.2.h.g \(16\) \(9.231\) 16.0.\(\cdots\).4 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{6}q^{3}+(-\beta _{13}+\beta _{15})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1156.2.h.h \(24\) \(9.231\) None None \(0\) \(0\) \(0\) \(0\)
1156.4.a.a \(1\) \(68.206\) \(\Q\) None None \(0\) \(2\) \(8\) \(12\) \(-\) \(q+2q^{3}+8q^{5}+12q^{7}-23q^{9}+10q^{11}+\cdots\)
1156.4.a.b \(2\) \(68.206\) \(\Q(\sqrt{21}) \) None None \(0\) \(-5\) \(15\) \(5\) \(-\) \(q+(-2-\beta )q^{3}+(5+5\beta )q^{5}+(5-5\beta )q^{7}+\cdots\)
1156.4.a.c \(2\) \(68.206\) \(\Q(\sqrt{229}) \) None None \(0\) \(-3\) \(-21\) \(-25\) \(-\) \(q+(-1-\beta )q^{3}+(-10-\beta )q^{5}+(-12+\cdots)q^{7}+\cdots\)
1156.4.a.d \(2\) \(68.206\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+4\beta q^{3}-\beta q^{5}-20\beta q^{7}+5q^{9}+2^{5}\beta q^{11}+\cdots\)
1156.4.a.e \(2\) \(68.206\) \(\Q(\sqrt{229}) \) None None \(0\) \(3\) \(21\) \(25\) \(+\) \(q+(1+\beta )q^{3}+(10+\beta )q^{5}+(12+\beta )q^{7}+\cdots\)
1156.4.a.f \(2\) \(68.206\) \(\Q(\sqrt{21}) \) None None \(0\) \(5\) \(-15\) \(-5\) \(+\) \(q+(3-\beta )q^{3}+(-10+5\beta )q^{5}-5\beta q^{7}+\cdots\)
1156.4.a.g \(3\) \(68.206\) 3.3.1524.1 None None \(0\) \(-4\) \(-26\) \(-8\) \(-\) \(q+(-1-\beta _{2})q^{3}+(-9+\beta _{1})q^{5}+(-2+\cdots)q^{7}+\cdots\)
1156.4.a.h \(4\) \(68.206\) 4.4.5999648.1 None None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
1156.4.a.i \(6\) \(68.206\) 6.6.889407488.2 None None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+(-\beta _{1}-\beta _{2})q^{3}+(-\beta _{1}+\beta _{2}+3\beta _{5})q^{5}+\cdots\)
1156.4.a.j \(12\) \(68.206\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(-30\) \(18\) \(-\) \(q-\beta _{1}q^{3}+(-2-\beta _{6})q^{5}+(2+\beta _{3}+\beta _{5}+\cdots)q^{7}+\cdots\)
1156.4.a.k \(12\) \(68.206\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(30\) \(-18\) \(+\) \(q+\beta _{1}q^{3}+(2+\beta _{6})q^{5}+(-2-\beta _{3}-\beta _{5}+\cdots)q^{7}+\cdots\)
1156.4.a.l \(20\) \(68.206\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta _{1}q^{3}-\beta _{13}q^{5}-\beta _{15}q^{7}+(13+\beta _{2}+\cdots)q^{9}+\cdots\)
Next   Download to