76.1.c.a |
\(1\) |
\(0.038\) |
\(\Q\) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
|
76.2.a.a |
\(1\) |
\(0.607\) |
\(\Q\) |
None |
None |
\(0\) |
\(2\) |
\(-1\) |
\(-3\) |
\(-\) |
\(q+2q^{3}-q^{5}-3q^{7}+q^{9}+5q^{11}+\cdots\)
|
76.2.d.a |
\(8\) |
\(0.607\) |
8.0.\(\cdots\).1 |
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(-1+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
76.2.e.a |
\(2\) |
\(0.607\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(1\) |
\(1\) |
\(0\) |
|
\(q+(1-\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots\)
|
76.2.f.a |
\(16\) |
\(0.607\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(-3\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q+(-\beta _{1}-\beta _{14})q^{2}+\beta _{15}q^{3}+(-1+\cdots)q^{4}+\cdots\)
|
76.2.i.a |
\(12\) |
\(0.607\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
None |
\(0\) |
\(-3\) |
\(0\) |
\(3\) |
|
\(q+(-1-\beta _{5}+\beta _{7}+\beta _{9}+\beta _{11})q^{3}+\cdots\)
|
76.2.k.a |
\(48\) |
\(0.607\) |
|
None |
None |
\(-6\) |
\(0\) |
\(-12\) |
\(0\) |
|
|
76.3.b.a |
\(4\) |
\(2.071\) |
\(\Q(\sqrt{-3}, \sqrt{-19})\) |
None |
None |
\(-4\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+(-1-\beta _{1})q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(-2+\cdots)q^{4}+\cdots\)
|
76.3.b.b |
\(14\) |
\(2.071\) |
\(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{3}q^{2}-\beta _{7}q^{3}+\beta _{5}q^{4}+\beta _{12}q^{5}+\cdots\)
|
76.3.c.a |
\(2\) |
\(2.071\) |
\(\Q(\sqrt{-29}) \) |
None |
None |
\(0\) |
\(0\) |
\(-8\) |
\(-2\) |
|
\(q+\beta q^{3}-4q^{5}-q^{7}-20q^{9}+14q^{11}+\cdots\)
|
76.3.c.b |
\(2\) |
\(2.071\) |
\(\Q(\sqrt{57}) \) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(9\) |
\(5\) |
|
\(q+(5-\beta )q^{5}+(1+3\beta )q^{7}+9q^{9}+(1+\cdots)q^{11}+\cdots\)
|
76.3.g.a |
\(4\) |
\(2.071\) |
\(\Q(\sqrt{-3}, \sqrt{-10})\) |
None |
None |
\(-4\) |
\(6\) |
\(-4\) |
\(0\) |
|
\(q-2\beta _{2}q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+(-4+\cdots)q^{4}+\cdots\)
|
76.3.g.b |
\(4\) |
\(2.071\) |
\(\Q(\sqrt{-3}, \sqrt{-10})\) |
None |
None |
\(8\) |
\(-6\) |
\(-4\) |
\(0\) |
|
\(q+2q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+4q^{4}+\cdots\)
|
76.3.g.c |
\(28\) |
\(2.071\) |
|
None |
None |
\(-5\) |
\(0\) |
\(6\) |
\(0\) |
|
|
76.3.h.a |
\(8\) |
\(2.071\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
None |
\(0\) |
\(6\) |
\(-1\) |
\(-12\) |
|
\(q+(-\beta _{3}-\beta _{4})q^{3}+(\beta _{5}-\beta _{6})q^{5}+(-2+\cdots)q^{7}+\cdots\)
|
76.3.j.a |
\(18\) |
\(2.071\) |
\(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
None |
None |
\(0\) |
\(-6\) |
\(0\) |
\(9\) |
|
\(q+(-\beta _{4}-\beta _{6}-\beta _{8}-\beta _{10}+\beta _{12})q^{3}+\cdots\)
|
76.3.l.a |
\(108\) |
\(2.071\) |
|
None |
None |
\(-6\) |
\(0\) |
\(-12\) |
\(0\) |
|
|
76.4.a.a |
\(2\) |
\(4.484\) |
\(\Q(\sqrt{33}) \) |
None |
None |
\(0\) |
\(-5\) |
\(-5\) |
\(-30\) |
\(-\) |
\(q+(-2-\beta )q^{3}+(-5+5\beta )q^{5}+(-13+\cdots)q^{7}+\cdots\)
|
76.4.a.b |
\(3\) |
\(4.484\) |
3.3.35529.1 |
None |
None |
\(0\) |
\(1\) |
\(9\) |
\(44\) |
\(+\) |
\(q+(\beta _{1}+\beta _{2})q^{3}+(3+\beta _{2})q^{5}+(15-\beta _{1}+\cdots)q^{7}+\cdots\)
|
76.4.d.a |
\(28\) |
\(4.484\) |
|
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
|
76.4.e.a |
\(10\) |
\(4.484\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
None |
\(0\) |
\(7\) |
\(-4\) |
\(-20\) |
|
\(q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}+(\beta _{3}+\beta _{7}+\beta _{8}+\cdots)q^{5}+\cdots\)
|
76.4.f.a |
\(56\) |
\(4.484\) |
|
None |
None |
\(-3\) |
\(0\) |
\(-2\) |
\(0\) |
|
|
76.4.i.a |
\(30\) |
\(4.484\) |
|
None |
None |
\(0\) |
\(-3\) |
\(0\) |
\(6\) |
|
|
76.4.k.a |
\(168\) |
\(4.484\) |
|
None |
None |
\(-6\) |
\(0\) |
\(-12\) |
\(0\) |
|
|
76.5.b.a |
\(36\) |
\(7.856\) |
|
None |
None |
\(6\) |
\(0\) |
\(24\) |
\(0\) |
|
|
76.5.c.a |
\(2\) |
\(7.856\) |
\(\Q(\sqrt{57}) \) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(-31\) |
\(73\) |
|
\(q+(-17-3\beta )q^{5}+(39+5\beta )q^{7}+3^{4}q^{9}+\cdots\)
|
76.5.c.b |
\(4\) |
\(7.856\) |
\(\mathbb{Q}[x]/(x^{4} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(22\) |
\(24\) |
|
\(q+\beta _{1}q^{3}+(6-\beta _{2})q^{5}+(7-2\beta _{2})q^{7}+\cdots\)
|
76.5.g.a |
\(76\) |
\(7.856\) |
|
None |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(0\) |
|
|
76.5.h.a |
\(12\) |
\(7.856\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
None |
\(0\) |
\(-12\) |
\(9\) |
\(-52\) |
|
\(q+(-\beta _{1}+\beta _{3})q^{3}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)
|
76.5.j.a |
\(42\) |
\(7.856\) |
|
None |
None |
\(0\) |
\(12\) |
\(0\) |
\(-45\) |
|
|
76.5.l.a |
\(228\) |
\(7.856\) |
|
None |
None |
\(-6\) |
\(0\) |
\(-12\) |
\(0\) |
|
|
76.6.a.a |
\(3\) |
\(12.189\) |
3.3.272193.1 |
None |
None |
\(0\) |
\(-8\) |
\(-9\) |
\(-13\) |
\(+\) |
\(q+(-3-\beta _{1}-\beta _{2})q^{3}+(-2+3\beta _{1}+\cdots)q^{5}+\cdots\)
|
76.6.a.b |
\(4\) |
\(12.189\) |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
None |
\(0\) |
\(10\) |
\(-110\) |
\(30\) |
\(-\) |
\(q+(3+\beta _{3})q^{3}+(-26+\beta _{1}+2\beta _{2}+3\beta _{3})q^{5}+\cdots\)
|
76.6.d.a |
\(48\) |
\(12.189\) |
|
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
|
76.6.e.a |
\(18\) |
\(12.189\) |
\(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
None |
None |
\(0\) |
\(-11\) |
\(11\) |
\(336\) |
|
\(q+(\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(\beta _{2}+\beta _{6}+\beta _{8}+\cdots)q^{5}+\cdots\)
|
76.6.f.a |
\(96\) |
\(12.189\) |
|
None |
None |
\(-3\) |
\(0\) |
\(-2\) |
\(0\) |
|
|
76.6.i.a |
\(48\) |
\(12.189\) |
|
None |
None |
\(0\) |
\(33\) |
\(0\) |
\(-177\) |
|
|
76.6.k.a |
\(288\) |
\(12.189\) |
|
None |
None |
\(-6\) |
\(0\) |
\(-12\) |
\(0\) |
|
|
76.7.b.a |
\(54\) |
\(17.484\) |
|
None |
None |
\(-10\) |
\(0\) |
\(-44\) |
\(0\) |
|
|
76.7.c.a |
\(2\) |
\(17.484\) |
\(\Q(\sqrt{57}) \) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(54\) |
\(-610\) |
|
\(q+(3^{3}+7\beta )q^{5}+(-305+9\beta )q^{7}+3^{6}q^{9}+\cdots\)
|
76.7.c.b |
\(8\) |
\(17.484\) |
\(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(362\) |
|
\(q+\beta _{1}q^{3}+\beta _{7}q^{5}+(46+\beta _{2}+2\beta _{3}+\cdots)q^{7}+\cdots\)
|
76.7.g.a |
\(116\) |
\(17.484\) |
|
None |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(0\) |
|
|
76.7.h.a |
\(20\) |
\(17.484\) |
\(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
None |
None |
\(0\) |
\(-30\) |
\(-56\) |
\(464\) |
|
\(q+(-1+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(-6+6\beta _{3}+\cdots)q^{5}+\cdots\)
|
76.7.j.a |
\(60\) |
\(17.484\) |
|
None |
None |
\(0\) |
\(30\) |
\(0\) |
\(-216\) |
|
|
76.7.l.a |
\(348\) |
\(17.484\) |
|
None |
None |
\(-6\) |
\(0\) |
\(-12\) |
\(0\) |
|
|
76.8.a.a |
\(5\) |
\(23.741\) |
\(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
None |
None |
\(0\) |
\(-14\) |
\(-280\) |
\(414\) |
\(-\) |
\(q+(-3-\beta _{1})q^{3}+(-56+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
|
76.8.a.b |
\(6\) |
\(23.741\) |
\(\mathbb{Q}[x]/(x^{6} - \cdots)\) |
None |
None |
\(0\) |
\(40\) |
\(279\) |
\(-1565\) |
\(+\) |
\(q+(7-\beta _{1})q^{3}+(47-\beta _{1}-\beta _{2})q^{5}+(-262+\cdots)q^{7}+\cdots\)
|
76.8.d.a |
\(68\) |
\(23.741\) |
|
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
|
76.8.e.a |
\(22\) |
\(23.741\) |
|
None |
None |
\(0\) |
\(13\) |
\(1\) |
\(560\) |
|
|
76.8.f.a |
\(136\) |
\(23.741\) |
|
None |
None |
\(-3\) |
\(0\) |
\(-2\) |
\(0\) |
|
|