370.2.a.a |
\(1\) |
\(2.954\) |
\(\Q\) |
None |
\(-1\) |
\(-2\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}-q^{7}+\cdots\)
|
370.2.a.b |
\(1\) |
\(2.954\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
\(+\) |
\(q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots\)
|
370.2.a.c |
\(1\) |
\(2.954\) |
\(\Q\) |
None |
\(-1\) |
\(2\) |
\(1\) |
\(1\) |
\(-\) |
\(q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}+q^{7}+\cdots\)
|
370.2.a.d |
\(1\) |
\(2.954\) |
\(\Q\) |
None |
\(1\) |
\(-2\) |
\(1\) |
\(2\) |
\(-\) |
\(q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+2q^{7}+\cdots\)
|
370.2.a.e |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{3}) \) |
None |
\(-2\) |
\(-2\) |
\(2\) |
\(-6\) |
\(+\) |
\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots\)
|
370.2.a.f |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{33}) \) |
None |
\(2\) |
\(4\) |
\(2\) |
\(-3\) |
\(-\) |
\(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+(-1+\cdots)q^{7}+\cdots\)
|
370.2.a.g |
\(3\) |
\(2.954\) |
3.3.892.1 |
None |
\(3\) |
\(0\) |
\(-3\) |
\(-1\) |
\(-\) |
\(q+q^{2}-\beta _{2}q^{3}+q^{4}-q^{5}-\beta _{2}q^{6}+\cdots\)
|
370.2.b.a |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(-2-i)q^{5}-2iq^{7}+\cdots\)
|
370.2.b.b |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+iq^{2}-q^{4}+(1+2i)q^{5}+iq^{7}-iq^{8}+\cdots\)
|
370.2.b.c |
\(4\) |
\(2.954\) |
\(\Q(i, \sqrt{6})\) |
None |
\(0\) |
\(0\) |
\(-8\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+\beta _{2}q^{3}-q^{4}+(-2+\beta _{1}+\cdots)q^{5}+\cdots\)
|
370.2.b.d |
\(10\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(6\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+(\beta _{4}-\beta _{5})q^{3}-q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
|
370.2.c.a |
\(10\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
None |
\(-10\) |
\(0\) |
\(-3\) |
\(0\) |
|
\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
|
370.2.c.b |
\(10\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
None |
\(10\) |
\(0\) |
\(3\) |
\(0\) |
|
\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
|
370.2.d.a |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+iq^{2}-q^{4}+iq^{5}-2q^{7}-iq^{8}+\cdots\)
|
370.2.d.b |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(10\) |
|
\(q+iq^{2}-q^{4}+iq^{5}+5q^{7}-iq^{8}+\cdots\)
|
370.2.d.c |
\(6\) |
\(2.954\) |
6.0.399424.1 |
None |
\(0\) |
\(-4\) |
\(0\) |
\(10\) |
|
\(q+\beta _{2}q^{2}+(-1-\beta _{1}-\beta _{3})q^{3}-q^{4}+\cdots\)
|
370.2.e.a |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-2\) |
\(-1\) |
\(0\) |
|
\(q+(1-\zeta_{6})q^{2}-2\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
|
370.2.e.b |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-1\) |
\(1\) |
\(-2\) |
|
\(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
|
370.2.e.c |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(3\) |
\(1\) |
\(0\) |
|
\(q+(1-\zeta_{6})q^{2}+3\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\cdots\)
|
370.2.e.d |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(-2\) |
\(2\) |
\(-2\) |
\(0\) |
|
\(q+(-1+\zeta_{12})q^{2}+\zeta_{12}q^{3}-\zeta_{12}q^{4}+\cdots\)
|
370.2.e.e |
\(4\) |
\(2.954\) |
\(\Q(\sqrt{-3}, \sqrt{10})\) |
None |
\(2\) |
\(2\) |
\(-2\) |
\(-4\) |
|
\(q-\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1-\beta _{2})q^{4}+\cdots\)
|
370.2.e.f |
\(6\) |
\(2.954\) |
6.0.2696112.1 |
None |
\(-3\) |
\(0\) |
\(3\) |
\(-2\) |
|
\(q-\beta _{4}q^{2}+\beta _{5}q^{3}+(-1+\beta _{4})q^{4}+(1+\cdots)q^{5}+\cdots\)
|
370.2.g.a |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(-2\) |
\(4\) |
\(2\) |
|
\(q+iq^{2}+(-1-i)q^{3}-q^{4}+(2+i)q^{5}+\cdots\)
|
370.2.g.b |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(-4\) |
|
\(q+iq^{2}-q^{4}+(-2+i)q^{5}+(-2-2i)q^{7}+\cdots\)
|
370.2.g.c |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{8})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
\(q+\zeta_{8}^{2}q^{2}+2\zeta_{8}q^{3}-q^{4}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
|
370.2.g.d |
\(10\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
None |
\(0\) |
\(-2\) |
\(2\) |
\(-4\) |
|
\(q-\beta _{6}q^{2}+(-\beta _{2}-\beta _{3}-\beta _{8})q^{3}-q^{4}+\cdots\)
|
370.2.g.e |
\(20\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
None |
\(0\) |
\(-4\) |
\(2\) |
\(-2\) |
|
\(q-\beta _{10}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{8}q^{5}+\beta _{4}q^{6}+\cdots\)
|
370.2.h.a |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(2\) |
\(0\) |
\(-2\) |
\(-4\) |
|
\(q+q^{2}+q^{4}+(-1+2i)q^{5}+(-2+2i)q^{7}+\cdots\)
|
370.2.h.b |
\(2\) |
\(2.954\) |
\(\Q(\sqrt{-1}) \) |
None |
\(2\) |
\(2\) |
\(-2\) |
\(2\) |
|
\(q+q^{2}+(1-i)q^{3}+q^{4}+(-1-2i)q^{5}+\cdots\)
|
370.2.h.c |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{8})\) |
None |
\(4\) |
\(0\) |
\(0\) |
\(8\) |
|
\(q+q^{2}+2\zeta_{8}q^{3}+q^{4}+(-\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots\)
|
370.2.h.d |
\(10\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
None |
\(10\) |
\(2\) |
\(2\) |
\(-4\) |
|
\(q+q^{2}+(\beta _{1}-\beta _{4})q^{3}+q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
|
370.2.h.e |
\(20\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
None |
\(-20\) |
\(4\) |
\(-4\) |
\(-2\) |
|
\(q-q^{2}-\beta _{4}q^{3}+q^{4}+\beta _{13}q^{5}+\beta _{4}q^{6}+\cdots\)
|
370.2.l.a |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
|
\(q+\zeta_{12}q^{2}+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
370.2.l.b |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+\zeta_{12}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
370.2.l.c |
\(12\) |
\(2.954\) |
12.0.\(\cdots\).2 |
None |
\(0\) |
\(4\) |
\(0\) |
\(2\) |
|
\(q-\beta _{2}q^{2}+(1-\beta _{6}+\beta _{10})q^{3}+(1-\beta _{6}+\cdots)q^{4}+\cdots\)
|
370.2.m.a |
\(4\) |
\(2.954\) |
\(\Q(\sqrt{-3}, \sqrt{-11})\) |
None |
\(-2\) |
\(-3\) |
\(-6\) |
\(-12\) |
|
\(q-\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots\)
|
370.2.m.b |
\(4\) |
\(2.954\) |
\(\Q(\sqrt{-3}, \sqrt{-11})\) |
None |
\(2\) |
\(3\) |
\(-3\) |
\(12\) |
|
\(q+\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(-1+\beta _{2})q^{4}+\cdots\)
|
370.2.m.c |
\(16\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
\(-8\) |
\(3\) |
\(6\) |
\(12\) |
|
\(q+(-1-\beta _{1})q^{2}+\beta _{10}q^{3}+\beta _{1}q^{4}+\cdots\)
|
370.2.m.d |
\(16\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
\(8\) |
\(-3\) |
\(0\) |
\(-12\) |
|
\(q+(1+\beta _{1})q^{2}-\beta _{10}q^{3}+\beta _{1}q^{4}+\beta _{8}q^{5}+\cdots\)
|
370.2.n.a |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(-8\) |
\(-6\) |
|
\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2+\zeta_{12}^{3})q^{5}+\cdots\)
|
370.2.n.b |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}+2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
|
370.2.n.c |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(4\) |
\(6\) |
|
\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2-\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
|
370.2.n.d |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+(3\zeta_{12}-3\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
370.2.n.e |
\(8\) |
\(2.954\) |
8.0.303595776.1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{3}q^{2}-2\beta _{5}q^{3}-\beta _{4}q^{4}+(\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots\)
|
370.2.n.f |
\(12\) |
\(2.954\) |
12.0.\(\cdots\).1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{3}q^{2}+(\beta _{5}-\beta _{6}-\beta _{7}+\beta _{9})q^{3}+\cdots\)
|
370.2.o.a |
\(18\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-3\) |
|
\(q-\beta _{7}q^{2}+(-\beta _{2}+\beta _{8}-\beta _{17})q^{3}+\beta _{6}q^{4}+\cdots\)
|
370.2.o.b |
\(18\) |
\(2.954\) |
\(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-9\) |
|
\(q+\beta _{4}q^{2}+\beta _{8}q^{3}+(-\beta _{10}+\beta _{11})q^{4}+\cdots\)
|
370.2.o.c |
\(24\) |
\(2.954\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(-3\) |
|
|
370.2.o.d |
\(24\) |
\(2.954\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(-9\) |
|
|
370.2.q.a |
\(4\) |
\(2.954\) |
\(\Q(\zeta_{12})\) |
None |
\(-2\) |
\(4\) |
\(-4\) |
\(4\) |
|
\(q-\zeta_{12}^{2}q^{2}+(1+\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots\)
|