Learn more

Refine search


Results (1-50 of 69 matches)

Next   Download to        
Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
927.1.d.a \(1\) \(0.463\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-103}) \) \(\Q(\sqrt{309}) \) \(0\) \(0\) \(0\) \(2\) \(q-q^{4}+2q^{7}-2q^{13}+q^{16}+2q^{19}+\cdots\)
927.1.d.b \(2\) \(0.463\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-103}) \) None \(1\) \(0\) \(0\) \(-1\) \(q+(1-\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}+q^{8}+\cdots\)
927.1.d.c \(4\) \(0.463\) \(\Q(\zeta_{20})^+\) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{7}+\cdots\)
927.1.v.a \(16\) \(0.463\) \(\Q(\zeta_{34})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{34}^{11}q^{4}+(\zeta_{34}^{2}+\zeta_{34}^{16})q^{7}+\cdots\)
927.2.a.a \(1\) \(7.402\) \(\Q\) None None \(1\) \(0\) \(1\) \(-2\) \(+\) \(q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots\)
927.2.a.b \(2\) \(7.402\) \(\Q(\sqrt{5}) \) None None \(3\) \(0\) \(3\) \(-2\) \(-\) \(q+(1+\beta )q^{2}+3\beta q^{4}+(2-\beta )q^{5}-q^{7}+\cdots\)
927.2.a.c \(3\) \(7.402\) 3.3.148.1 None None \(-1\) \(0\) \(-1\) \(-2\) \(+\) \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{7}+\cdots\)
927.2.a.d \(4\) \(7.402\) \(\Q(\zeta_{24})^+\) None None \(0\) \(0\) \(0\) \(-4\) \(+\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{1}q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
927.2.a.e \(5\) \(7.402\) 5.5.81509.1 None None \(2\) \(0\) \(5\) \(-2\) \(-\) \(q-\beta _{3}q^{2}+(-\beta _{3}-\beta _{4})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
927.2.a.f \(6\) \(7.402\) 6.6.6999257.1 None None \(-4\) \(0\) \(-3\) \(-2\) \(+\) \(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
927.2.a.g \(8\) \(7.402\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(1\) \(0\) \(1\) \(6\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+(1+\beta _{5}+\cdots)q^{7}+\cdots\)
927.2.a.h \(14\) \(7.402\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(0\) \(0\) \(12\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{4}q^{5}+(1+\beta _{6}+\cdots)q^{7}+\cdots\)
927.2.c.a \(16\) \(7.402\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(16\) \(q-\beta _{13}q^{2}+\beta _{3}q^{4}-\beta _{8}q^{5}+(1-\beta _{2}+\cdots)q^{7}+\cdots\)
927.2.c.b \(20\) \(7.402\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}-\beta _{6}q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots\)
927.2.e.a \(102\) \(7.402\) None None \(-11\) \(-1\) \(-12\) \(0\)
927.2.e.b \(102\) \(7.402\) None None \(9\) \(-1\) \(12\) \(0\)
927.2.f.a \(2\) \(7.402\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-5\) \(q+(2-2\zeta_{6})q^{4}+(-5+5\zeta_{6})q^{7}+5q^{13}+\cdots\)
927.2.f.b \(2\) \(7.402\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(-4\) \(-1\) \(q+2\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{4}+(-4+4\zeta_{6})q^{5}+\cdots\)
927.2.f.c \(16\) \(7.402\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-1\) \(0\) \(5\) \(0\) \(q+\beta _{13}q^{2}+(\beta _{1}+2\beta _{6}+\beta _{12})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots\)
927.2.f.d \(16\) \(7.402\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-1\) \(0\) \(-1\) \(4\) \(q-\beta _{1}q^{2}+(-\beta _{3}+\beta _{13})q^{4}+(\beta _{2}-\beta _{12}+\cdots)q^{5}+\cdots\)
927.2.f.e \(16\) \(7.402\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(1\) \(0\) \(-3\) \(-5\) \(q+\beta _{1}q^{2}+(-1+\beta _{4}-\beta _{5}+\beta _{7})q^{4}+\cdots\)
927.2.f.f \(32\) \(7.402\) None None \(0\) \(0\) \(0\) \(8\)
927.2.g.a \(204\) \(7.402\) None None \(1\) \(-5\) \(3\) \(0\)
927.2.h.a \(204\) \(7.402\) None None \(-2\) \(-5\) \(-6\) \(0\)
927.2.j.a \(204\) \(7.402\) None None \(0\) \(-3\) \(-6\) \(0\)
927.2.n.a \(204\) \(7.402\) None None \(-6\) \(0\) \(0\) \(0\)
927.2.o.a \(16\) \(7.402\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(4\) \(q+\beta _{1}q^{2}+(1+\beta _{10}+\beta _{11}+\beta _{12})q^{4}+\cdots\)
927.2.o.b \(52\) \(7.402\) None None \(0\) \(0\) \(0\) \(2\)
927.2.p.a \(204\) \(7.402\) None None \(-3\) \(3\) \(-3\) \(0\)
927.2.u.a \(112\) \(7.402\) None None \(15\) \(0\) \(11\) \(-5\)
927.2.u.b \(128\) \(7.402\) None None \(-1\) \(0\) \(-4\) \(4\)
927.2.u.c \(160\) \(7.402\) None None \(1\) \(0\) \(4\) \(-12\)
927.2.u.d \(288\) \(7.402\) None None \(0\) \(0\) \(0\) \(-8\)
927.2.w.a \(576\) \(7.402\) None None \(0\) \(0\) \(0\) \(-16\)
927.2.y.a \(3264\) \(7.402\) None None \(-15\) \(-29\) \(-11\) \(-17\)
927.2.z.a \(3264\) \(7.402\) None None \(-18\) \(-29\) \(-20\) \(-17\)
927.2.ba.a \(32\) \(7.402\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(5\)
927.2.ba.b \(256\) \(7.402\) None None \(1\) \(0\) \(1\) \(-4\)
927.2.ba.c \(256\) \(7.402\) None None \(33\) \(0\) \(37\) \(-29\)
927.2.ba.d \(288\) \(7.402\) None None \(-1\) \(0\) \(-1\) \(1\)
927.2.ba.e \(512\) \(7.402\) None None \(0\) \(0\) \(0\) \(-8\)
927.2.bb.a \(3264\) \(7.402\) None None \(-15\) \(-32\) \(-17\) \(-17\)
927.2.bg.a \(3264\) \(7.402\) None None \(-48\) \(-37\) \(-48\) \(-17\)
927.2.bh.a \(1088\) \(7.402\) None None \(0\) \(0\) \(0\) \(-6\)
927.2.bi.a \(3264\) \(7.402\) None None \(-45\) \(-34\) \(-51\) \(-17\)
927.2.bm.a \(3264\) \(7.402\) None None \(-51\) \(-31\) \(-45\) \(-17\)
927.3.b.a \(68\) \(25.259\) None None \(0\) \(0\) \(0\) \(0\)
927.3.d.a \(5\) \(25.259\) 5.5.33153125.1 \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(4+\beta _{1}+\beta _{4})q^{4}+(-4\beta _{1}+\cdots)q^{7}+\cdots\)
927.3.d.b \(10\) \(25.259\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) \(\Q(\sqrt{-103}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(4-\beta _{4})q^{4}+(-\beta _{4}+\beta _{6}+\cdots)q^{7}+\cdots\)
927.3.d.c \(12\) \(25.259\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(2\) \(0\) \(0\) \(0\) \(q+\beta _{11}q^{2}+(1+\beta _{10})q^{4}-\beta _{3}q^{5}+(-\beta _{6}+\cdots)q^{7}+\cdots\)
Next   Download to