24.2.a.a |
\(1\) |
\(0.192\) |
\(\Q\) |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
|
24.2.d.a |
\(2\) |
\(0.192\) |
\(\Q(\sqrt{-1}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+(-1+i)q^{2}+iq^{3}-2iq^{4}-2iq^{5}+\cdots\)
|
24.2.f.a |
\(2\) |
\(0.192\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots\)
|
24.3.b.a |
\(4\) |
\(0.654\) |
4.0.4752.1 |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(-2-\beta _{2}+\cdots)q^{4}+\cdots\)
|
24.3.e.a |
\(2\) |
\(0.654\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(2\) |
\(0\) |
\(-12\) |
|
\(q+(1+\beta )q^{3}-2\beta q^{5}-6q^{7}+(-7+2\beta )q^{9}+\cdots\)
|
24.3.h.a |
\(1\) |
\(0.654\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(-2\) |
\(3\) |
\(2\) |
\(-10\) |
|
\(q-2q^{2}+3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
|
24.3.h.b |
\(1\) |
\(0.654\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(2\) |
\(-3\) |
\(-2\) |
\(-10\) |
|
\(q+2q^{2}-3q^{3}+4q^{4}-2q^{5}-6q^{6}+\cdots\)
|
24.3.h.c |
\(4\) |
\(0.654\) |
\(\Q(\sqrt{2}, \sqrt{-7})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(16\) |
|
\(q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(-3+\beta _{3})q^{4}+\cdots\)
|
24.4.a.a |
\(1\) |
\(1.416\) |
\(\Q\) |
None |
\(0\) |
\(3\) |
\(14\) |
\(-24\) |
\(+\) |
\(q+3q^{3}+14q^{5}-24q^{7}+9q^{9}-28q^{11}+\cdots\)
|
24.4.d.a |
\(6\) |
\(1.416\) |
6.0.8248384.1 |
None |
\(2\) |
\(0\) |
\(0\) |
\(28\) |
|
\(q+\beta _{3}q^{2}+\beta _{1}q^{3}+(3-\beta _{5})q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots\)
|
24.4.f.a |
\(2\) |
\(1.416\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(10\) |
\(0\) |
\(0\) |
|
\(q+2\beta q^{2}+(5+\beta )q^{3}-8q^{4}+(-4+10\beta )q^{6}+\cdots\)
|
24.4.f.b |
\(8\) |
\(1.416\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(0\) |
\(-12\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(-2+\beta _{4})q^{3}+(3+\beta _{2})q^{4}+\cdots\)
|
24.5.b.a |
\(8\) |
\(2.481\) |
\(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
None |
\(-6\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-1+\beta _{2})q^{2}+\beta _{3}q^{3}+(1-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
|
24.5.e.a |
\(4\) |
\(2.481\) |
\(\Q(\sqrt{-2}, \sqrt{13})\) |
None |
\(0\) |
\(-4\) |
\(0\) |
\(24\) |
|
\(q+(-1-\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2}+\beta _{3})q^{5}+\cdots\)
|
24.5.h.a |
\(1\) |
\(2.481\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(-4\) |
\(-9\) |
\(46\) |
\(2\) |
|
\(q-4q^{2}-9q^{3}+2^{4}q^{4}+46q^{5}+6^{2}q^{6}+\cdots\)
|
24.5.h.b |
\(1\) |
\(2.481\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(4\) |
\(9\) |
\(-46\) |
\(2\) |
|
\(q+4q^{2}+9q^{3}+2^{4}q^{4}-46q^{5}+6^{2}q^{6}+\cdots\)
|
24.5.h.c |
\(12\) |
\(2.481\) |
\(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
\(q+\beta _{3}q^{2}+\beta _{2}q^{3}+(-2+\beta _{5})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
|
24.6.a.a |
\(1\) |
\(3.849\) |
\(\Q\) |
None |
\(0\) |
\(-9\) |
\(-34\) |
\(-240\) |
\(+\) |
\(q-9q^{3}-34q^{5}-240q^{7}+3^{4}q^{9}+\cdots\)
|
24.6.a.b |
\(1\) |
\(3.849\) |
\(\Q\) |
None |
\(0\) |
\(-9\) |
\(94\) |
\(144\) |
\(-\) |
\(q-9q^{3}+94q^{5}+12^{2}q^{7}+3^{4}q^{9}+\cdots\)
|
24.6.a.c |
\(1\) |
\(3.849\) |
\(\Q\) |
None |
\(0\) |
\(9\) |
\(38\) |
\(120\) |
\(-\) |
\(q+9q^{3}+38q^{5}+120q^{7}+3^{4}q^{9}+\cdots\)
|
24.6.d.a |
\(10\) |
\(3.849\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(2\) |
\(0\) |
\(0\) |
\(-196\) |
|
\(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-3-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
|
24.6.f.a |
\(2\) |
\(3.849\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q+4\beta q^{2}+(-1+11\beta )q^{3}-2^{5}q^{4}+\cdots\)
|
24.6.f.b |
\(16\) |
\(3.849\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(3+\beta _{2}+\cdots)q^{4}+\cdots\)
|
24.7.b.a |
\(12\) |
\(5.521\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(10\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(1+\beta _{1})q^{2}-\beta _{2}q^{3}+(2+\beta _{1}-\beta _{4}+\cdots)q^{4}+\cdots\)
|
24.7.e.a |
\(6\) |
\(5.521\) |
6.0.1173604352.2 |
None |
\(0\) |
\(-10\) |
\(0\) |
\(156\) |
|
\(q+(-2+\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(3^{3}+\cdots)q^{7}+\cdots\)
|
24.7.h.a |
\(1\) |
\(5.521\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(-8\) |
\(27\) |
\(-142\) |
\(470\) |
|
\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}-142q^{5}+\cdots\)
|
24.7.h.b |
\(1\) |
\(5.521\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(8\) |
\(-27\) |
\(142\) |
\(470\) |
|
\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+142q^{5}+\cdots\)
|
24.7.h.c |
\(20\) |
\(5.521\) |
\(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-944\) |
|
\(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(-10+\beta _{3})q^{4}+\cdots\)
|
24.8.a.a |
\(1\) |
\(7.497\) |
\(\Q\) |
None |
\(0\) |
\(-27\) |
\(-26\) |
\(1056\) |
\(+\) |
\(q-3^{3}q^{3}-26q^{5}+1056q^{7}+3^{6}q^{9}+\cdots\)
|
24.8.a.b |
\(1\) |
\(7.497\) |
\(\Q\) |
None |
\(0\) |
\(27\) |
\(-530\) |
\(120\) |
\(-\) |
\(q+3^{3}q^{3}-530q^{5}+120q^{7}+3^{6}q^{9}+\cdots\)
|
24.8.a.c |
\(1\) |
\(7.497\) |
\(\Q\) |
None |
\(0\) |
\(27\) |
\(110\) |
\(504\) |
\(+\) |
\(q+3^{3}q^{3}+110q^{5}+504q^{7}+3^{6}q^{9}+\cdots\)
|
24.8.d.a |
\(14\) |
\(7.497\) |
\(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
None |
\(-14\) |
\(0\) |
\(0\) |
\(1372\) |
|
\(q+(-1+\beta _{1})q^{2}-\beta _{3}q^{3}+(-15-\beta _{1}+\cdots)q^{4}+\cdots\)
|
24.8.f.a |
\(2\) |
\(7.497\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(-86\) |
\(0\) |
\(0\) |
|
\(q+8\beta q^{2}+(-43+13\beta )q^{3}-2^{7}q^{4}+\cdots\)
|
24.8.f.b |
\(4\) |
\(7.497\) |
\(\Q(\sqrt{6}, \sqrt{-26})\) |
None |
\(0\) |
\(-36\) |
\(0\) |
\(0\) |
|
\(q+(2\beta _{1}+\beta _{2})q^{2}+(-9-9\beta _{1})q^{3}+(-80+\cdots)q^{4}+\cdots\)
|
24.8.f.c |
\(20\) |
\(7.497\) |
\(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
None |
\(0\) |
\(120\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(6+\beta _{1}-\beta _{4})q^{3}+(3^{3}+\beta _{3}+\cdots)q^{4}+\cdots\)
|
24.9.b.a |
\(16\) |
\(9.777\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
\(-6\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(26-\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
24.9.e.a |
\(8\) |
\(9.777\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(0\) |
\(56\) |
\(0\) |
\(1584\) |
|
\(q+(7+\beta _{2})q^{3}+(-\beta _{2}+\beta _{4})q^{5}+(198+\cdots)q^{7}+\cdots\)
|
24.9.h.a |
\(1\) |
\(9.777\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(-16\) |
\(-81\) |
\(-866\) |
\(-4798\) |
|
\(q-2^{4}q^{2}-3^{4}q^{3}+2^{8}q^{4}-866q^{5}+\cdots\)
|
24.9.h.b |
\(1\) |
\(9.777\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(16\) |
\(81\) |
\(866\) |
\(-4798\) |
|
\(q+2^{4}q^{2}+3^{4}q^{3}+2^{8}q^{4}+866q^{5}+\cdots\)
|
24.9.h.c |
\(28\) |
\(9.777\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(9592\) |
|
|
24.10.a.a |
\(1\) |
\(12.361\) |
\(\Q\) |
None |
\(0\) |
\(-81\) |
\(830\) |
\(672\) |
\(+\) |
\(q-3^{4}q^{3}+830q^{5}+672q^{7}+3^{8}q^{9}+\cdots\)
|
24.10.a.b |
\(1\) |
\(12.361\) |
\(\Q\) |
None |
\(0\) |
\(81\) |
\(-794\) |
\(-5880\) |
\(+\) |
\(q+3^{4}q^{3}-794q^{5}-5880q^{7}+3^{8}q^{9}+\cdots\)
|
24.10.a.c |
\(1\) |
\(12.361\) |
\(\Q\) |
None |
\(0\) |
\(81\) |
\(614\) |
\(2184\) |
\(-\) |
\(q+3^{4}q^{3}+614q^{5}+2184q^{7}+3^{8}q^{9}+\cdots\)
|
24.10.a.d |
\(2\) |
\(12.361\) |
\(\Q(\sqrt{109}) \) |
None |
\(0\) |
\(-162\) |
\(-772\) |
\(-2880\) |
\(-\) |
\(q-3^{4}q^{3}+(-386-\beta )q^{5}+(-1440+\cdots)q^{7}+\cdots\)
|
24.10.d.a |
\(18\) |
\(12.361\) |
\(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
None |
\(34\) |
\(0\) |
\(0\) |
\(-9604\) |
|
\(q+(2-\beta _{1})q^{2}-\beta _{2}q^{3}+(29-2\beta _{1}-\beta _{5}+\cdots)q^{4}+\cdots\)
|
24.10.f.a |
\(2\) |
\(12.361\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(190\) |
\(0\) |
\(0\) |
|
\(q+2^{4}\beta q^{2}+(95-73\beta )q^{3}-2^{9}q^{4}+\cdots\)
|
24.10.f.b |
\(32\) |
\(12.361\) |
|
None |
\(0\) |
\(-192\) |
\(0\) |
\(0\) |
|
|
24.11.b.a |
\(20\) |
\(15.249\) |
\(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
None |
\(-22\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-1-\beta _{2})q^{2}-\beta _{1}q^{3}+(-93-\beta _{1}+\cdots)q^{4}+\cdots\)
|
24.11.e.a |
\(10\) |
\(15.249\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(0\) |
\(-22\) |
\(0\) |
\(-5436\) |
|
\(q+(-2+\beta _{1})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-545+\cdots)q^{7}+\cdots\)
|
24.11.h.a |
\(1\) |
\(15.249\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \) |
\(-32\) |
\(243\) |
\(5282\) |
\(24950\) |
|
\(q-2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+5282q^{5}+\cdots\)
|