722.2.a.a |
\(1\) |
\(5.765\) |
\(\Q\) |
None |
\(-1\) |
\(-3\) |
\(2\) |
\(-3\) |
\(+\) |
\(q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
|
722.2.a.b |
\(1\) |
\(5.765\) |
\(\Q\) |
None |
\(-1\) |
\(1\) |
\(-4\) |
\(3\) |
\(-\) |
\(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}+3q^{7}+\cdots\)
|
722.2.a.c |
\(1\) |
\(5.765\) |
\(\Q\) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(-4\) |
\(+\) |
\(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
|
722.2.a.d |
\(1\) |
\(5.765\) |
\(\Q\) |
None |
\(1\) |
\(-1\) |
\(0\) |
\(-4\) |
\(+\) |
\(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
|
722.2.a.e |
\(1\) |
\(5.765\) |
\(\Q\) |
None |
\(1\) |
\(-1\) |
\(0\) |
\(-1\) |
\(+\) |
\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
|
722.2.a.f |
\(1\) |
\(5.765\) |
\(\Q\) |
None |
\(1\) |
\(3\) |
\(2\) |
\(-3\) |
\(-\) |
\(q+q^{2}+3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
|
722.2.a.g |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{7}) \) |
None |
\(-2\) |
\(0\) |
\(2\) |
\(2\) |
\(-\) |
\(q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots\)
|
722.2.a.h |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{5}) \) |
None |
\(-2\) |
\(2\) |
\(-5\) |
\(-2\) |
\(-\) |
\(q-q^{2}+2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
|
722.2.a.i |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{5}) \) |
None |
\(2\) |
\(-2\) |
\(-5\) |
\(-2\) |
\(+\) |
\(q+q^{2}-2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
|
722.2.a.j |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{7}) \) |
None |
\(2\) |
\(0\) |
\(2\) |
\(2\) |
\(-\) |
\(q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
|
722.2.a.k |
\(3\) |
\(5.765\) |
\(\Q(\zeta_{18})^+\) |
None |
\(-3\) |
\(0\) |
\(6\) |
\(6\) |
\(-\) |
\(q-q^{2}+\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
|
722.2.a.l |
\(3\) |
\(5.765\) |
\(\Q(\zeta_{18})^+\) |
None |
\(3\) |
\(0\) |
\(6\) |
\(6\) |
\(-\) |
\(q+q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
|
722.2.a.m |
\(4\) |
\(5.765\) |
\(\Q(\zeta_{20})^+\) |
None |
\(-4\) |
\(-2\) |
\(-2\) |
\(-2\) |
\(+\) |
\(q-q^{2}+(-1-\beta _{2}-\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
722.2.a.n |
\(4\) |
\(5.765\) |
\(\Q(\zeta_{20})^+\) |
None |
\(4\) |
\(2\) |
\(-2\) |
\(-2\) |
\(-\) |
\(q+q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
722.2.c.a |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(-3\) |
\(-2\) |
\(-6\) |
|
\(q+(-1+\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.b |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(-8\) |
|
\(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.c |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(-2\) |
|
\(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.d |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(1\) |
\(4\) |
\(6\) |
|
\(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.e |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-1\) |
\(0\) |
\(-2\) |
|
\(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.f |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-1\) |
\(4\) |
\(6\) |
|
\(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.g |
\(2\) |
\(5.765\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(3\) |
\(-2\) |
\(-6\) |
|
\(q+(1-\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
722.2.c.h |
\(4\) |
\(5.765\) |
\(\Q(\sqrt{-3}, \sqrt{5})\) |
None |
\(-2\) |
\(2\) |
\(5\) |
\(-4\) |
|
\(q+(-1-\beta _{3})q^{2}+2\beta _{1}q^{3}+\beta _{3}q^{4}+\cdots\)
|
722.2.c.i |
\(4\) |
\(5.765\) |
\(\Q(\sqrt{-3}, \sqrt{5})\) |
None |
\(2\) |
\(-2\) |
\(5\) |
\(-4\) |
|
\(q+(1+\beta _{3})q^{2}-2\beta _{1}q^{3}+\beta _{3}q^{4}+(3+\cdots)q^{5}+\cdots\)
|
722.2.c.j |
\(4\) |
\(5.765\) |
\(\Q(\sqrt{-3}, \sqrt{7})\) |
None |
\(2\) |
\(0\) |
\(-2\) |
\(4\) |
|
\(q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
722.2.c.k |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(-3\) |
\(0\) |
\(-6\) |
\(12\) |
|
\(q+(-1+\zeta_{18})q^{2}+(\zeta_{18}^{2}-\zeta_{18}^{3})q^{3}+\cdots\)
|
722.2.c.l |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(3\) |
\(0\) |
\(-6\) |
\(12\) |
|
\(q+\zeta_{18}q^{2}+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+\cdots)q^{3}+\cdots\)
|
722.2.c.m |
\(8\) |
\(5.765\) |
8.0.324000000.2 |
None |
\(-4\) |
\(-2\) |
\(2\) |
\(-4\) |
|
\(q+(-1-\beta _{4})q^{2}+(\beta _{3}+\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots\)
|
722.2.c.n |
\(8\) |
\(5.765\) |
8.0.324000000.2 |
None |
\(4\) |
\(2\) |
\(2\) |
\(-4\) |
|
\(q+(1+\beta _{4})q^{2}+(-\beta _{3}-\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots\)
|
722.2.e.a |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(-6\) |
\(0\) |
\(-6\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(-1-\zeta_{18}^{2}+\cdots)q^{3}+\cdots\)
|
722.2.e.b |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(-3\) |
\(0\) |
\(-6\) |
|
\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(-1+\zeta_{18}^{3}-\zeta_{18}^{5})q^{3}+\cdots\)
|
722.2.e.c |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-9\) |
|
\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.d |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-9\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.e |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(3\) |
|
\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.f |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(3\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.g |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(9\) |
|
\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.h |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(9\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.i |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(12\) |
|
\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.j |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(12\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
|
722.2.e.k |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(3\) |
\(0\) |
\(-6\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{3}+\cdots)q^{3}+\cdots\)
|
722.2.e.l |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(3\) |
\(0\) |
\(-6\) |
|
\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(1-\zeta_{18}^{3}+\zeta_{18}^{5})q^{3}+\cdots\)
|
722.2.e.m |
\(6\) |
\(5.765\) |
\(\Q(\zeta_{18})\) |
None |
\(0\) |
\(6\) |
\(0\) |
\(-6\) |
|
\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(1+\zeta_{18}^{2})q^{3}+\cdots\)
|
722.2.e.n |
\(12\) |
\(5.765\) |
12.0.\(\cdots\).3 |
None |
\(0\) |
\(0\) |
\(0\) |
\(-6\) |
|
\(q+\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)
|
722.2.e.o |
\(12\) |
\(5.765\) |
12.0.\(\cdots\).3 |
None |
\(0\) |
\(0\) |
\(0\) |
\(-6\) |
|
\(q-\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)
|
722.2.e.p |
\(12\) |
\(5.765\) |
12.0.\(\cdots\).1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(6\) |
|
\(q-\beta _{9}q^{2}-2\beta _{7}q^{3}-\beta _{11}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
|
722.2.e.q |
\(12\) |
\(5.765\) |
12.0.\(\cdots\).1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(6\) |
|
\(q+(\beta _{3}-\beta _{9})q^{2}-2\beta _{1}q^{3}+(-\beta _{5}+\beta _{11})q^{4}+\cdots\)
|
722.2.e.r |
\(24\) |
\(5.765\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(6\) |
|
|
722.2.e.s |
\(24\) |
\(5.765\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(6\) |
|
|
722.2.g.a |
\(288\) |
\(5.765\) |
|
None |
\(16\) |
\(-1\) |
\(1\) |
\(2\) |
|
|
722.2.g.b |
\(306\) |
\(5.765\) |
|
None |
\(-17\) |
\(16\) |
\(-1\) |
\(-10\) |
|
|
722.2.i.a |
\(576\) |
\(5.765\) |
|
None |
\(-16\) |
\(1\) |
\(-1\) |
\(10\) |
|
|