96.2.a.a |
\(1\) |
\(0.767\) |
\(\Q\) |
None |
\(0\) |
\(-1\) |
\(2\) |
\(4\) |
\(-\) |
\(q-q^{3}+2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
|
96.2.a.b |
\(1\) |
\(0.767\) |
\(\Q\) |
None |
\(0\) |
\(1\) |
\(2\) |
\(-4\) |
\(-\) |
\(q+q^{3}+2q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
|
96.2.c.a |
\(4\) |
\(0.767\) |
\(\Q(\zeta_{8})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}q^{3}+\zeta_{8}^{3}q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots\)
|
96.2.d.a |
\(2\) |
\(0.767\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+iq^{3}+2iq^{5}+2q^{7}-q^{9}-4iq^{13}+\cdots\)
|
96.2.f.a |
\(2\) |
\(0.767\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
|
\(q+(1+\beta )q^{3}+(-1+2\beta )q^{9}-2\beta q^{11}+\cdots\)
|
96.2.n.a |
\(32\) |
\(0.767\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
96.2.o.a |
\(56\) |
\(0.767\) |
|
None |
\(0\) |
\(-4\) |
\(0\) |
\(-8\) |
|
|
96.3.b.a |
\(4\) |
\(2.616\) |
4.0.4752.1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{3})q^{7}+\cdots\)
|
96.3.e.a |
\(4\) |
\(2.616\) |
\(\Q(\sqrt{-2}, \sqrt{3})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(2\beta _{1}-\beta _{3})q^{7}+(-3+\cdots)q^{9}+\cdots\)
|
96.3.e.b |
\(4\) |
\(2.616\) |
\(\Q(\sqrt{-2}, \sqrt{7})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\beta _{1}+\beta _{3})q^{3}-\beta _{2}q^{5}+(-\beta _{1}-2\beta _{3})q^{7}+\cdots\)
|
96.3.g.a |
\(4\) |
\(2.616\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(-8\) |
\(0\) |
|
\(q+\zeta_{12}^{2}q^{3}+(-2-\zeta_{12}^{3})q^{5}+(\zeta_{12}+\cdots)q^{7}+\cdots\)
|
96.3.h.a |
\(1\) |
\(2.616\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(0\) |
\(-3\) |
\(2\) |
\(10\) |
|
\(q-3q^{3}+2q^{5}+10q^{7}+9q^{9}+10q^{11}+\cdots\)
|
96.3.h.b |
\(1\) |
\(2.616\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(0\) |
\(3\) |
\(-2\) |
\(10\) |
|
\(q+3q^{3}-2q^{5}+10q^{7}+9q^{9}-10q^{11}+\cdots\)
|
96.3.h.c |
\(4\) |
\(2.616\) |
\(\Q(\sqrt{2}, \sqrt{-7})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-16\) |
|
\(q+(-\beta _{1}-\beta _{2})q^{3}-2\beta _{1}q^{5}-4q^{7}+\cdots\)
|
96.3.m.a |
\(64\) |
\(2.616\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
96.3.p.a |
\(120\) |
\(2.616\) |
|
None |
\(0\) |
\(-4\) |
\(0\) |
\(-8\) |
|
|
96.4.a.a |
\(1\) |
\(5.664\) |
\(\Q\) |
None |
\(0\) |
\(-3\) |
\(-14\) |
\(36\) |
\(+\) |
\(q-3q^{3}-14q^{5}+6^{2}q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
|
96.4.a.b |
\(1\) |
\(5.664\) |
\(\Q\) |
None |
\(0\) |
\(-3\) |
\(2\) |
\(-12\) |
\(-\) |
\(q-3q^{3}+2q^{5}-12q^{7}+9q^{9}-60q^{11}+\cdots\)
|
96.4.a.c |
\(1\) |
\(5.664\) |
\(\Q\) |
None |
\(0\) |
\(-3\) |
\(10\) |
\(-4\) |
\(+\) |
\(q-3q^{3}+10q^{5}-4q^{7}+9q^{9}+20q^{11}+\cdots\)
|
96.4.a.d |
\(1\) |
\(5.664\) |
\(\Q\) |
None |
\(0\) |
\(3\) |
\(-14\) |
\(-36\) |
\(-\) |
\(q+3q^{3}-14q^{5}-6^{2}q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
|
96.4.a.e |
\(1\) |
\(5.664\) |
\(\Q\) |
None |
\(0\) |
\(3\) |
\(2\) |
\(12\) |
\(+\) |
\(q+3q^{3}+2q^{5}+12q^{7}+9q^{9}+60q^{11}+\cdots\)
|
96.4.a.f |
\(1\) |
\(5.664\) |
\(\Q\) |
None |
\(0\) |
\(3\) |
\(10\) |
\(4\) |
\(+\) |
\(q+3q^{3}+10q^{5}+4q^{7}+9q^{9}-20q^{11}+\cdots\)
|
96.4.c.a |
\(12\) |
\(5.664\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{4}q^{3}-\beta _{8}q^{5}-\beta _{1}q^{7}+(-2+\beta _{5}+\cdots)q^{9}+\cdots\)
|
96.4.d.a |
\(6\) |
\(5.664\) |
6.0.8248384.1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(-28\) |
|
\(q+\beta _{2}q^{3}+(-\beta _{2}+\beta _{3})q^{5}+(-5+\beta _{1}+\cdots)q^{7}+\cdots\)
|
96.4.f.a |
\(2\) |
\(5.664\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(-10\) |
\(0\) |
\(0\) |
|
\(q+(-5+\beta )q^{3}+(23-10\beta )q^{9}-50\beta q^{11}+\cdots\)
|
96.4.f.b |
\(8\) |
\(5.664\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(0\) |
\(12\) |
\(0\) |
\(0\) |
|
\(q+(1+\beta _{2})q^{3}+\beta _{4}q^{5}-\beta _{6}q^{7}+(-9+\cdots)q^{9}+\cdots\)
|
96.4.n.a |
\(96\) |
\(5.664\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
96.4.o.a |
\(184\) |
\(5.664\) |
|
None |
\(0\) |
\(-4\) |
\(0\) |
\(-8\) |
|
|
96.5.b.a |
\(8\) |
\(9.924\) |
\(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(-\beta _{2}+\beta _{4}-\beta _{5}+\cdots)q^{7}+\cdots\)
|
96.5.e.a |
\(8\) |
\(9.924\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{3}+\beta _{2}q^{5}-\beta _{3}q^{7}+(-11-2\beta _{2}+\cdots)q^{9}+\cdots\)
|
96.5.e.b |
\(8\) |
\(9.924\) |
8.0.3317760000.8 |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{4})q^{7}+(-3+\cdots)q^{9}+\cdots\)
|
96.5.g.a |
\(4\) |
\(9.924\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(-40\) |
\(0\) |
|
\(q+3\zeta_{12}^{2}q^{3}+(-10-\zeta_{12}^{3})q^{5}+(11\zeta_{12}+\cdots)q^{7}+\cdots\)
|
96.5.g.b |
\(4\) |
\(9.924\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(88\) |
\(0\) |
|
\(q-\zeta_{12}^{2}q^{3}+(22-\zeta_{12}^{3})q^{5}+(-\zeta_{12}+\cdots)q^{7}+\cdots\)
|
96.5.h.a |
\(1\) |
\(9.924\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(0\) |
\(-9\) |
\(-46\) |
\(-2\) |
|
\(q-9q^{3}-46q^{5}-2q^{7}+3^{4}q^{9}+142q^{11}+\cdots\)
|
96.5.h.b |
\(1\) |
\(9.924\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(0\) |
\(9\) |
\(46\) |
\(-2\) |
|
\(q+9q^{3}+46q^{5}-2q^{7}+3^{4}q^{9}-142q^{11}+\cdots\)
|
96.5.h.c |
\(12\) |
\(9.924\) |
\(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{3})q^{5}+(1-\beta _{4})q^{7}+\cdots\)
|
96.5.m.a |
\(128\) |
\(9.924\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
96.5.p.a |
\(248\) |
\(9.924\) |
|
None |
\(0\) |
\(-4\) |
\(0\) |
\(-8\) |
|
|
96.6.a.a |
\(1\) |
\(15.397\) |
\(\Q\) |
None |
\(0\) |
\(-9\) |
\(-86\) |
\(-180\) |
\(-\) |
\(q-9q^{3}-86q^{5}-180q^{7}+3^{4}q^{9}+\cdots\)
|
96.6.a.b |
\(1\) |
\(15.397\) |
\(\Q\) |
None |
\(0\) |
\(-9\) |
\(-14\) |
\(100\) |
\(+\) |
\(q-9q^{3}-14q^{5}+10^{2}q^{7}+3^{4}q^{9}+\cdots\)
|
96.6.a.c |
\(1\) |
\(15.397\) |
\(\Q\) |
None |
\(0\) |
\(-9\) |
\(26\) |
\(-36\) |
\(+\) |
\(q-9q^{3}+26q^{5}-6^{2}q^{7}+3^{4}q^{9}-180q^{11}+\cdots\)
|
96.6.a.d |
\(1\) |
\(15.397\) |
\(\Q\) |
None |
\(0\) |
\(9\) |
\(-86\) |
\(180\) |
\(+\) |
\(q+9q^{3}-86q^{5}+180q^{7}+3^{4}q^{9}+\cdots\)
|
96.6.a.e |
\(1\) |
\(15.397\) |
\(\Q\) |
None |
\(0\) |
\(9\) |
\(-14\) |
\(-100\) |
\(+\) |
\(q+9q^{3}-14q^{5}-10^{2}q^{7}+3^{4}q^{9}+\cdots\)
|
96.6.a.f |
\(1\) |
\(15.397\) |
\(\Q\) |
None |
\(0\) |
\(9\) |
\(26\) |
\(36\) |
\(-\) |
\(q+9q^{3}+26q^{5}+6^{2}q^{7}+3^{4}q^{9}+180q^{11}+\cdots\)
|
96.6.a.g |
\(2\) |
\(15.397\) |
\(\Q(\sqrt{31}) \) |
None |
\(0\) |
\(-18\) |
\(36\) |
\(-120\) |
\(-\) |
\(q-9q^{3}+(18+\beta )q^{5}+(-60-\beta )q^{7}+\cdots\)
|
96.6.a.h |
\(2\) |
\(15.397\) |
\(\Q(\sqrt{31}) \) |
None |
\(0\) |
\(18\) |
\(36\) |
\(120\) |
\(-\) |
\(q+9q^{3}+(18+\beta )q^{5}+(60+\beta )q^{7}+3^{4}q^{9}+\cdots\)
|
96.6.c.a |
\(20\) |
\(15.397\) |
\(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{3}q^{3}+\beta _{6}q^{5}+\beta _{2}q^{7}+(-2-\beta _{7}+\cdots)q^{9}+\cdots\)
|
96.6.d.a |
\(10\) |
\(15.397\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(196\) |
|
\(q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(20+\beta _{4}+\cdots)q^{7}+\cdots\)
|
96.6.f.a |
\(2\) |
\(15.397\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
|
\(q+(1-11\beta )q^{3}+(-241-22\beta )q^{9}+\cdots\)
|
96.6.f.b |
\(16\) |
\(15.397\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{3}-\beta _{3}q^{5}+\beta _{4}q^{7}+(30+\beta _{7}+\cdots)q^{9}+\cdots\)
|