354.2.a.a |
\(1\) |
\(2.827\) |
\(\Q\) |
None |
\(-1\) |
\(-1\) |
\(0\) |
\(-1\) |
\(+\) |
\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
|
354.2.a.b |
\(1\) |
\(2.827\) |
\(\Q\) |
None |
\(-1\) |
\(-1\) |
\(2\) |
\(0\) |
\(-\) |
\(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots\)
|
354.2.a.c |
\(1\) |
\(2.827\) |
\(\Q\) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(-1\) |
\(-\) |
\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
|
354.2.a.d |
\(1\) |
\(2.827\) |
\(\Q\) |
None |
\(1\) |
\(-1\) |
\(-4\) |
\(-1\) |
\(+\) |
\(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
|
354.2.a.e |
\(1\) |
\(2.827\) |
\(\Q\) |
None |
\(1\) |
\(-1\) |
\(0\) |
\(0\) |
\(-\) |
\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
|
354.2.a.f |
\(1\) |
\(2.827\) |
\(\Q\) |
None |
\(1\) |
\(-1\) |
\(4\) |
\(0\) |
\(-\) |
\(q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{8}+\cdots\)
|
354.2.a.g |
\(2\) |
\(2.827\) |
\(\Q(\sqrt{11}) \) |
None |
\(-2\) |
\(2\) |
\(2\) |
\(8\) |
\(-\) |
\(q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
|
354.2.a.h |
\(3\) |
\(2.827\) |
3.3.316.1 |
None |
\(3\) |
\(3\) |
\(2\) |
\(-1\) |
\(-\) |
\(q+q^{2}+q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
|
354.2.c.a |
\(10\) |
\(2.827\) |
10.0.\(\cdots\).1 |
None |
\(-10\) |
\(-1\) |
\(0\) |
\(-2\) |
|
\(q-q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{6}q^{6}+\cdots\)
|
354.2.c.b |
\(10\) |
\(2.827\) |
10.0.\(\cdots\).1 |
None |
\(10\) |
\(-1\) |
\(0\) |
\(-2\) |
|
\(q+q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{3}q^{5}-\beta _{6}q^{6}+\cdots\)
|
354.2.e.a |
\(56\) |
\(2.827\) |
|
None |
\(-2\) |
\(-2\) |
\(4\) |
\(9\) |
|
|
354.2.e.b |
\(56\) |
\(2.827\) |
|
None |
\(2\) |
\(2\) |
\(-2\) |
\(1\) |
|
|
354.2.e.c |
\(84\) |
\(2.827\) |
|
None |
\(-3\) |
\(3\) |
\(0\) |
\(1\) |
|
|
354.2.e.d |
\(84\) |
\(2.827\) |
|
None |
\(3\) |
\(-3\) |
\(-2\) |
\(-7\) |
|
|
354.2.g.a |
\(280\) |
\(2.827\) |
|
None |
\(-10\) |
\(1\) |
\(0\) |
\(2\) |
|
|
354.2.g.b |
\(280\) |
\(2.827\) |
|
None |
\(10\) |
\(1\) |
\(0\) |
\(2\) |
|
|
354.3.b.a |
\(40\) |
\(9.646\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
|
354.3.d.a |
\(20\) |
\(9.646\) |
\(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
\(q+\beta _{4}q^{2}-\beta _{7}q^{3}-2q^{4}+\beta _{5}q^{5}+\beta _{6}q^{6}+\cdots\)
|
354.3.f.a |
\(560\) |
\(9.646\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
|
354.3.h.a |
\(1120\) |
\(9.646\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
|
354.4.a.a |
\(2\) |
\(20.887\) |
\(\Q(\sqrt{21}) \) |
None |
\(-4\) |
\(6\) |
\(-12\) |
\(-23\) |
\(-\) |
\(q-2q^{2}+3q^{3}+4q^{4}+(-5-2\beta )q^{5}+\cdots\)
|
354.4.a.b |
\(2\) |
\(20.887\) |
\(\Q(\sqrt{51}) \) |
None |
\(-4\) |
\(6\) |
\(26\) |
\(0\) |
\(+\) |
\(q-2q^{2}+3q^{3}+4q^{4}+(13+\beta )q^{5}+\cdots\)
|
354.4.a.c |
\(2\) |
\(20.887\) |
\(\Q(\sqrt{13}) \) |
None |
\(4\) |
\(6\) |
\(-20\) |
\(-23\) |
\(-\) |
\(q+2q^{2}+3q^{3}+4q^{4}+(-9-2\beta )q^{5}+\cdots\)
|
354.4.a.d |
\(3\) |
\(20.887\) |
3.3.30645.1 |
None |
\(-6\) |
\(-9\) |
\(-6\) |
\(6\) |
\(-\) |
\(q-2q^{2}-3q^{3}+4q^{4}+(-2-\beta _{1}-2\beta _{2})q^{5}+\cdots\)
|
354.4.a.e |
\(3\) |
\(20.887\) |
3.3.45581.1 |
None |
\(-6\) |
\(-9\) |
\(4\) |
\(13\) |
\(+\) |
\(q-2q^{2}-3q^{3}+4q^{4}+(2-\beta _{1}+\beta _{2})q^{5}+\cdots\)
|
354.4.a.f |
\(3\) |
\(20.887\) |
3.3.18989.1 |
None |
\(-6\) |
\(9\) |
\(-28\) |
\(26\) |
\(+\) |
\(q-2q^{2}+3q^{3}+4q^{4}+(-9+\beta _{1}+\beta _{2})q^{5}+\cdots\)
|
354.4.a.g |
\(3\) |
\(20.887\) |
3.3.47277.1 |
None |
\(6\) |
\(-9\) |
\(-18\) |
\(6\) |
\(-\) |
\(q+2q^{2}-3q^{3}+4q^{4}+(-6+\beta _{1}+\beta _{2})q^{5}+\cdots\)
|
354.4.a.h |
\(4\) |
\(20.887\) |
\(\mathbb{Q}[x]/(x^{4} - \cdots)\) |
None |
\(8\) |
\(-12\) |
\(22\) |
\(13\) |
\(+\) |
\(q+2q^{2}-3q^{3}+4q^{4}+(5+\beta _{1}-\beta _{3})q^{5}+\cdots\)
|
354.4.a.i |
\(6\) |
\(20.887\) |
\(\mathbb{Q}[x]/(x^{6} - \cdots)\) |
None |
\(12\) |
\(18\) |
\(20\) |
\(26\) |
\(+\) |
\(q+2q^{2}+3q^{3}+4q^{4}+(3+\beta _{1})q^{5}+\cdots\)
|
354.4.c.a |
\(30\) |
\(20.887\) |
|
None |
\(-60\) |
\(5\) |
\(0\) |
\(6\) |
|
|
354.4.c.b |
\(30\) |
\(20.887\) |
|
None |
\(60\) |
\(5\) |
\(0\) |
\(6\) |
|
|
354.5.b.a |
\(76\) |
\(36.593\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(-184\) |
|
|
354.5.d.a |
\(40\) |
\(36.593\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(-80\) |
|
|
354.6.a.a |
\(1\) |
\(56.776\) |
\(\Q\) |
None |
\(4\) |
\(-9\) |
\(10\) |
\(144\) |
\(-\) |
\(q+4q^{2}-9q^{3}+2^{4}q^{4}+10q^{5}-6^{2}q^{6}+\cdots\)
|
354.6.a.b |
\(4\) |
\(56.776\) |
4.4.32832.1 |
None |
\(16\) |
\(36\) |
\(-104\) |
\(-162\) |
\(+\) |
\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(-5^{2}+2\beta _{1}+\cdots)q^{5}+\cdots\)
|
354.6.a.c |
\(5\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
None |
\(-20\) |
\(45\) |
\(-10\) |
\(-162\) |
\(+\) |
\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(-2+\beta _{1}+\cdots)q^{5}+\cdots\)
|
354.6.a.d |
\(5\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
None |
\(20\) |
\(-45\) |
\(-24\) |
\(-103\) |
\(+\) |
\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(-5+\beta _{3}+\cdots)q^{5}+\cdots\)
|
354.6.a.e |
\(5\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
None |
\(20\) |
\(-45\) |
\(166\) |
\(-198\) |
\(-\) |
\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(33-\beta _{2})q^{5}+\cdots\)
|
354.6.a.f |
\(6\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{6} - \cdots)\) |
None |
\(-24\) |
\(-54\) |
\(-46\) |
\(-103\) |
\(+\) |
\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-8+\beta _{5})q^{5}+\cdots\)
|
354.6.a.g |
\(6\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{6} - \cdots)\) |
None |
\(-24\) |
\(-54\) |
\(4\) |
\(-54\) |
\(-\) |
\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(1-\beta _{5})q^{5}+\cdots\)
|
354.6.a.h |
\(8\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(-32\) |
\(72\) |
\(40\) |
\(181\) |
\(-\) |
\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(5+\beta _{1})q^{5}+\cdots\)
|
354.6.a.i |
\(8\) |
\(56.776\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(32\) |
\(72\) |
\(96\) |
\(181\) |
\(-\) |
\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(12-\beta _{1})q^{5}+\cdots\)
|
354.6.c.a |
\(50\) |
\(56.776\) |
|
None |
\(-200\) |
\(-13\) |
\(0\) |
\(38\) |
|
|
354.6.c.b |
\(50\) |
\(56.776\) |
|
None |
\(200\) |
\(-13\) |
\(0\) |
\(38\) |
|
|
354.7.d.a |
\(60\) |
\(81.439\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(408\) |
|
|
354.8.a.a |
\(1\) |
\(110.584\) |
\(\Q\) |
None |
\(8\) |
\(27\) |
\(-320\) |
\(-505\) |
\(-\) |
\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-320q^{5}+\cdots\)
|
354.8.a.b |
\(5\) |
\(110.584\) |
\(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
None |
\(40\) |
\(135\) |
\(164\) |
\(-76\) |
\(-\) |
\(q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(33+\beta _{1}+\cdots)q^{5}+\cdots\)
|
354.8.a.c |
\(7\) |
\(110.584\) |
\(\mathbb{Q}[x]/(x^{7} - \cdots)\) |
None |
\(-56\) |
\(189\) |
\(-158\) |
\(-581\) |
\(-\) |
\(q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-23-\beta _{2}+\cdots)q^{5}+\cdots\)
|
354.8.a.d |
\(8\) |
\(110.584\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(64\) |
\(-216\) |
\(-592\) |
\(-340\) |
\(-\) |
\(q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-74+\beta _{3}+\cdots)q^{5}+\cdots\)
|
354.8.a.e |
\(9\) |
\(110.584\) |
\(\mathbb{Q}[x]/(x^{9} - \cdots)\) |
None |
\(-72\) |
\(-243\) |
\(-230\) |
\(-340\) |
\(-\) |
\(q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-26+\beta _{3}+\cdots)q^{5}+\cdots\)
|