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Results (displaying matches 1-50 of 122) Next

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
62.2.a.a \(1\) \(0.495\) \(\Q\) None \(1\) \(0\) \(-2\) \(0\) \(-\) \(q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\cdots\)
62.2.a.b \(2\) \(0.495\) \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(4\) \(-\) \(q-q^{2}+(1+\beta )q^{3}+q^{4}-2\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
62.2.c.a \(2\) \(0.495\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-1\) \(3\) \(1\) \(q-q^{2}+(-1+\zeta_{6})q^{3}+q^{4}+3\zeta_{6}q^{5}+\cdots\)
62.2.c.b \(2\) \(0.495\) \(\Q(\sqrt{-3}) \) None \(2\) \(-3\) \(-1\) \(3\) \(q+q^{2}+(-3+3\zeta_{6})q^{3}+q^{4}-\zeta_{6}q^{5}+\cdots\)
62.2.d.a \(8\) \(0.495\) 8.0.511890625.1 None \(-2\) \(-4\) \(-4\) \(2\) \(q-\beta _{2}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots\)
62.2.d.b \(8\) \(0.495\) 8.0.1903140625.1 None \(2\) \(-2\) \(0\) \(-4\) \(q-\beta _{6}q^{2}+\beta _{7}q^{3}+(-1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
62.2.g.a \(8\) \(0.495\) \(\Q(\zeta_{15})\) None \(-2\) \(3\) \(1\) \(2\) \(q+\zeta_{15}^{6}q^{2}+(\zeta_{15}+\zeta_{15}^{4}+\zeta_{15}^{7})q^{3}+\cdots\)
62.2.g.b \(8\) \(0.495\) \(\Q(\zeta_{15})\) None \(2\) \(1\) \(-3\) \(-16\) \(q-\zeta_{15}^{6}q^{2}+(\zeta_{15}-\zeta_{15}^{4}+\zeta_{15}^{7})q^{3}+\cdots\)
62.3.b.a \(4\) \(1.689\) 4.0.48128.1 None \(0\) \(0\) \(-12\) \(-12\) \(q+\beta _{3}q^{2}+\beta _{2}q^{3}+2q^{4}+(-3+2\beta _{3})q^{5}+\cdots\)
62.3.e.a \(12\) \(1.689\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-6\) \(-6\) \(2\) \(q+\beta _{4}q^{2}+(-1+\beta _{2})q^{3}+2q^{4}+(\beta _{5}+\cdots)q^{5}+\cdots\)
62.3.f.a \(16\) \(1.689\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(12\) \(-8\) \(q+(\beta _{1}-\beta _{2}-\beta _{4}+\beta _{11})q^{2}+(-\beta _{7}+\cdots)q^{3}+\cdots\)
62.3.h.a \(48\) \(1.689\) None \(0\) \(6\) \(6\) \(18\)
62.4.a.a \(1\) \(3.658\) \(\Q\) None \(-2\) \(-2\) \(1\) \(-11\) \(-\) \(q-2q^{2}-2q^{3}+4q^{4}+q^{5}+4q^{6}+\cdots\)
62.4.a.b \(1\) \(3.658\) \(\Q\) None \(2\) \(-8\) \(-3\) \(-35\) \(-\) \(q+2q^{2}-8q^{3}+4q^{4}-3q^{5}-2^{4}q^{6}+\cdots\)
62.4.a.c \(3\) \(3.658\) 3.3.4364.1 None \(-6\) \(4\) \(1\) \(17\) \(+\) \(q-2q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+4q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
62.4.a.d \(3\) \(3.658\) 3.3.23964.1 None \(6\) \(4\) \(17\) \(21\) \(+\) \(q+2q^{2}+(1+\beta _{1})q^{3}+4q^{4}+(6-\beta _{1}+\cdots)q^{5}+\cdots\)
62.4.c.a \(8\) \(3.658\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(-16\) \(4\) \(10\) \(-6\) \(q-2q^{2}+(1-\beta _{2}+\beta _{3})q^{3}+4q^{4}+(3\beta _{2}+\cdots)q^{5}+\cdots\)
62.4.c.b \(8\) \(3.658\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(16\) \(10\) \(-2\) \(-16\) \(q+2q^{2}+(-3\beta _{1}+\beta _{5})q^{3}+4q^{4}+(-1+\cdots)q^{5}+\cdots\)
62.4.d.a \(16\) \(3.658\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-8\) \(4\) \(-14\) \(-26\) \(q-2\beta _{8}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
62.4.d.b \(16\) \(3.658\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(8\) \(-2\) \(-2\) \(4\) \(q-2\beta _{2}q^{2}+(-2+\beta _{1}-2\beta _{2}+2\beta _{3}+\cdots)q^{3}+\cdots\)
62.4.g.a \(32\) \(3.658\) None \(-16\) \(-10\) \(2\) \(-19\)
62.4.g.b \(32\) \(3.658\) None \(16\) \(-4\) \(-10\) \(71\)
62.5.b.a \(12\) \(6.409\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(12\) \(212\) \(q+\beta _{2}q^{2}+\beta _{3}q^{3}+8q^{4}+(1-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
62.5.e.a \(20\) \(6.409\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(-18\) \(6\) \(122\) \(q+\beta _{2}q^{2}+(-1+\beta _{7}+\beta _{9})q^{3}+8q^{4}+\cdots\)
62.5.f.a \(48\) \(6.409\) None \(0\) \(0\) \(-12\) \(-12\)
62.5.h.a \(80\) \(6.409\) None \(0\) \(18\) \(-6\) \(-322\)
62.6.a.a \(2\) \(9.944\) \(\Q(\sqrt{94}) \) None \(-8\) \(-8\) \(2\) \(-50\) \(+\) \(q-4q^{2}+(-4+\beta )q^{3}+2^{4}q^{4}+(1-2\beta )q^{5}+\cdots\)
62.6.a.b \(2\) \(9.944\) \(\Q(\sqrt{7}) \) None \(8\) \(-8\) \(-110\) \(-126\) \(+\) \(q+4q^{2}+(-4+\beta )q^{3}+2^{4}q^{4}+(-55+\cdots)q^{5}+\cdots\)
62.6.a.c \(4\) \(9.944\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-16\) \(10\) \(2\) \(146\) \(-\) \(q-4q^{2}+(3+\beta _{2})q^{3}+2^{4}q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
62.6.a.d \(4\) \(9.944\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(16\) \(28\) \(-10\) \(266\) \(-\) \(q+4q^{2}+(7-\beta _{1})q^{3}+2^{4}q^{4}+(-3+\cdots)q^{5}+\cdots\)
62.6.c.a \(14\) \(9.944\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None \(-56\) \(7\) \(-91\) \(79\) \(q-4q^{2}+(1-\beta _{1}+\beta _{3})q^{3}+2^{4}q^{4}+\cdots\)
62.6.c.b \(14\) \(9.944\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(56\) \(-11\) \(33\) \(101\) \(q+4q^{2}+(2\beta _{1}-\beta _{3}+\beta _{4})q^{3}+2^{4}q^{4}+\cdots\)
62.6.d.a \(24\) \(9.944\) None \(-24\) \(-20\) \(120\) \(-180\)
62.6.d.b \(24\) \(9.944\) None \(24\) \(-2\) \(-4\) \(-246\)
62.6.g.a \(56\) \(9.944\) None \(-56\) \(11\) \(-33\) \(104\)
62.6.g.b \(56\) \(9.944\) None \(56\) \(-7\) \(91\) \(-94\)
62.7.b.a \(16\) \(14.263\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(288\) \(-328\) \(q+\beta _{2}q^{2}+\beta _{8}q^{3}+2^{5}q^{4}+(18-3\beta _{2}+\cdots)q^{5}+\cdots\)
62.7.e.a \(32\) \(14.263\) None \(0\) \(0\) \(144\) \(-524\)
62.7.f.a \(64\) \(14.263\) None \(0\) \(0\) \(-288\) \(-692\)
62.7.h.a \(128\) \(14.263\) None \(0\) \(0\) \(-144\) \(1544\)
62.8.a.a \(3\) \(19.368\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(-24\) \(-26\) \(152\) \(-1504\) \(-\) \(q-8q^{2}+(-9-\beta _{1})q^{3}+2^{6}q^{4}+(50+\cdots)q^{5}+\cdots\)
62.8.a.b \(4\) \(19.368\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(32\) \(-68\) \(-334\) \(-948\) \(-\) \(q+8q^{2}+(-17+\beta _{1}+\beta _{3})q^{3}+2^{6}q^{4}+\cdots\)
62.8.a.c \(5\) \(19.368\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-40\) \(28\) \(152\) \(-132\) \(+\) \(q-8q^{2}+(6-\beta _{3})q^{3}+2^{6}q^{4}+(33-11\beta _{1}+\cdots)q^{5}+\cdots\)
62.8.a.d \(6\) \(19.368\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(48\) \(40\) \(166\) \(1796\) \(+\) \(q+8q^{2}+(7-\beta _{1})q^{3}+2^{6}q^{4}+(29-3\beta _{1}+\cdots)q^{5}+\cdots\)
62.8.c.a \(18\) \(19.368\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-144\) \(-53\) \(-97\) \(701\) \(q-8q^{2}+(-6-\beta _{1}-6\beta _{2}+\beta _{3})q^{3}+\cdots\)
62.8.c.b \(18\) \(19.368\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(144\) \(1\) \(-45\) \(927\) \(q+8q^{2}+\beta _{1}q^{3}+2^{6}q^{4}+(5\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)
62.8.d.a \(40\) \(19.368\) None \(-80\) \(28\) \(168\) \(1402\)
62.8.d.b \(40\) \(19.368\) None \(80\) \(-26\) \(116\) \(724\)
62.8.g.a \(72\) \(19.368\) None \(-144\) \(-1\) \(45\) \(-1482\)
62.8.g.b \(72\) \(19.368\) None \(144\) \(53\) \(97\) \(-3516\)
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