630.2.a.a |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
|
630.2.a.b |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(1\) |
\(+\) |
\(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
|
630.2.a.c |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(1\) |
\(-\) |
\(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
|
630.2.a.d |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(-1\) |
\(+\) |
\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
|
630.2.a.e |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
|
630.2.a.f |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(1\) |
\(-\) |
\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
|
630.2.a.g |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
|
630.2.a.h |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(1\) |
\(-\) |
\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
|
630.2.a.i |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(1\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
|
630.2.a.j |
\(1\) |
\(5.031\) |
\(\Q\) |
None |
\(1\) |
\(0\) |
\(1\) |
\(1\) |
\(-\) |
\(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
|
630.2.b.a |
\(8\) |
\(5.031\) |
8.0.7442857984.4 |
None |
\(0\) |
\(0\) |
\(-8\) |
\(-4\) |
|
\(q+\beta _{3}q^{2}-q^{4}-q^{5}+\beta _{6}q^{7}-\beta _{3}q^{8}+\cdots\)
|
630.2.b.b |
\(8\) |
\(5.031\) |
8.0.7442857984.4 |
None |
\(0\) |
\(0\) |
\(8\) |
\(-4\) |
|
\(q-\beta _{3}q^{2}-q^{4}+q^{5}+\beta _{6}q^{7}+\beta _{3}q^{8}+\cdots\)
|
630.2.d.a |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{-2}, \sqrt{-5})\) |
None |
\(-4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-q^{2}+q^{4}+\beta _{3}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
|
630.2.d.b |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{-2}, \sqrt{5})\) |
None |
\(-4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-q^{2}+q^{4}+\beta _{3}q^{5}+(-\beta _{1}-\beta _{3})q^{7}+\cdots\)
|
630.2.d.c |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{-2}, \sqrt{5})\) |
None |
\(4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+q^{2}+q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots\)
|
630.2.d.d |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{-2}, \sqrt{-5})\) |
None |
\(4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+q^{2}+q^{4}-\beta _{3}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+\cdots\)
|
630.2.g.a |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(-2-i)q^{5}+iq^{7}+\cdots\)
|
630.2.g.b |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(-1+2i)q^{5}-iq^{7}+\cdots\)
|
630.2.g.c |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots\)
|
630.2.g.d |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(1+2i)q^{5}-iq^{7}-iq^{8}+\cdots\)
|
630.2.g.e |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}-iq^{8}+\cdots\)
|
630.2.g.f |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(2-i)q^{5}-iq^{7}-iq^{8}+\cdots\)
|
630.2.g.g |
\(4\) |
\(5.031\) |
\(\Q(i, \sqrt{6})\) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q-\beta _{2}q^{2}-q^{4}+(-1-\beta _{1}+\beta _{2})q^{5}+\cdots\)
|
630.2.i.a |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-2\) |
\(-3\) |
\(-1\) |
\(-1\) |
|
\(q-q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
|
630.2.i.b |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-2\) |
\(-3\) |
\(1\) |
\(-4\) |
|
\(q-q^{2}+(-2+\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
|
630.2.i.c |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(2\) |
\(3\) |
\(-1\) |
\(-5\) |
|
\(q+q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(-1+\zeta_{6})q^{5}+\cdots\)
|
630.2.i.d |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(2\) |
\(3\) |
\(1\) |
\(-4\) |
|
\(q+q^{2}+(2-\zeta_{6})q^{3}+q^{4}+(1-\zeta_{6})q^{5}+\cdots\)
|
630.2.i.e |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
None |
\(4\) |
\(-6\) |
\(2\) |
\(-2\) |
|
\(q+q^{2}+(-2-\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots\)
|
630.2.i.f |
\(12\) |
\(5.031\) |
12.0.\(\cdots\).1 |
None |
\(-12\) |
\(2\) |
\(-6\) |
\(4\) |
|
\(q-q^{2}+(\beta _{4}-\beta _{7})q^{3}+q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots\)
|
630.2.i.g |
\(12\) |
\(5.031\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(12\) |
\(0\) |
\(-6\) |
\(4\) |
|
\(q+q^{2}-\beta _{8}q^{3}+q^{4}+(-1-\beta _{6})q^{5}+\cdots\)
|
630.2.i.h |
\(12\) |
\(5.031\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(12\) |
\(2\) |
\(6\) |
\(8\) |
|
\(q+q^{2}+(-\beta _{2}+\beta _{6})q^{3}+q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
|
630.2.i.i |
\(16\) |
\(5.031\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
\(-16\) |
\(2\) |
\(8\) |
\(4\) |
|
\(q-q^{2}+(-\beta _{1}+\beta _{7})q^{3}+q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots\)
|
630.2.j.a |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
630.2.j.b |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-3\) |
\(1\) |
\(-1\) |
|
\(q+(1-\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
630.2.j.c |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-3\) |
\(1\) |
\(1\) |
|
\(q+(1-\zeta_{6})q^{2}+(-1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
630.2.j.d |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q+(1-\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
630.2.j.e |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(3\) |
\(1\) |
\(-1\) |
|
\(q+(1-\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
|
630.2.j.f |
\(4\) |
\(5.031\) |
\(\Q(\zeta_{12})\) |
None |
\(2\) |
\(0\) |
\(-2\) |
\(2\) |
|
\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}+(-1+\zeta_{12}+\cdots)q^{4}+\cdots\)
|
630.2.j.g |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{-3}, \sqrt{-11})\) |
None |
\(2\) |
\(1\) |
\(2\) |
\(2\) |
|
\(q+(1-\beta _{2})q^{2}-\beta _{3}q^{3}-\beta _{2}q^{4}+\beta _{2}q^{5}+\cdots\)
|
630.2.j.h |
\(4\) |
\(5.031\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
\(2\) |
\(2\) |
\(-2\) |
\(-2\) |
|
\(q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(-1+\cdots)q^{4}+\cdots\)
|
630.2.j.i |
\(6\) |
\(5.031\) |
6.0.954288.1 |
None |
\(-3\) |
\(-1\) |
\(-3\) |
\(3\) |
|
\(q+\beta _{3}q^{2}+(-\beta _{2}+\beta _{5})q^{3}+(-1-\beta _{3}+\cdots)q^{4}+\cdots\)
|
630.2.j.j |
\(6\) |
\(5.031\) |
6.0.954288.1 |
None |
\(-3\) |
\(-1\) |
\(3\) |
\(-3\) |
|
\(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-1-\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
|
630.2.j.k |
\(6\) |
\(5.031\) |
6.0.954288.1 |
None |
\(-3\) |
\(1\) |
\(-3\) |
\(-3\) |
|
\(q+(-1-\beta _{3})q^{2}+\beta _{1}q^{3}+\beta _{3}q^{4}+\beta _{3}q^{5}+\cdots\)
|
630.2.j.l |
\(8\) |
\(5.031\) |
8.0.856615824.2 |
None |
\(-4\) |
\(-3\) |
\(4\) |
\(4\) |
|
\(q+(-1+\beta _{1})q^{2}+\beta _{6}q^{3}-\beta _{1}q^{4}+\beta _{1}q^{5}+\cdots\)
|
630.2.k.a |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(-4\) |
|
\(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-3+\cdots)q^{7}+\cdots\)
|
630.2.k.b |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots\)
|
630.2.k.c |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(4\) |
|
\(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots\)
|
630.2.k.d |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(-4\) |
|
\(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+(-3+\cdots)q^{7}+\cdots\)
|
630.2.k.e |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(-4\) |
|
\(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots\)
|
630.2.k.f |
\(2\) |
\(5.031\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(1\) |
|
\(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots\)
|