588.1.c.a |
\(1\) |
\(0.293\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
|
\(q-q^{3}+q^{9}+q^{13}+q^{19}+q^{25}-q^{27}+\cdots\)
|
588.1.c.b |
\(1\) |
\(0.293\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q+q^{3}+q^{9}-q^{13}-q^{19}+q^{25}+q^{27}+\cdots\)
|
588.1.p.a |
\(2\) |
\(0.293\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+q^{13}-\zeta_{6}q^{19}+\cdots\)
|
588.1.z.a |
\(12\) |
\(0.293\) |
\(\Q(\zeta_{21})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(1\) |
|
\(q+\zeta_{42}^{10}q^{3}+\zeta_{42}^{8}q^{7}+\zeta_{42}^{20}q^{9}+\cdots\)
|
588.2.a.a |
\(1\) |
\(4.695\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-q^{3}-2q^{5}+q^{9}+2q^{11}-3q^{13}+\cdots\)
|
588.2.a.b |
\(1\) |
\(4.695\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(0\) |
\(+\) |
\(q-q^{3}-2q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots\)
|
588.2.a.c |
\(1\) |
\(4.695\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
\(+\) |
\(q-q^{3}+q^{9}-6q^{11}-2q^{13}+4q^{19}+\cdots\)
|
588.2.a.d |
\(1\) |
\(4.695\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(-4\) |
\(0\) |
\(-\) |
\(q+q^{3}-4q^{5}+q^{9}+2q^{11}+6q^{13}+\cdots\)
|
588.2.a.e |
\(1\) |
\(4.695\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(2\) |
\(0\) |
\(-\) |
\(q+q^{3}+2q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots\)
|
588.2.a.f |
\(1\) |
\(4.695\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(2\) |
\(0\) |
\(-\) |
\(q+q^{3}+2q^{5}+q^{9}+2q^{11}+3q^{13}+\cdots\)
|
588.2.b.a |
\(8\) |
\(4.695\) |
8.0.562828176.1 |
None |
None |
\(-2\) |
\(-8\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots\)
|
588.2.b.b |
\(8\) |
\(4.695\) |
8.0.562828176.1 |
None |
None |
\(-2\) |
\(8\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots\)
|
588.2.b.c |
\(12\) |
\(4.695\) |
12.0.\(\cdots\).1 |
None |
None |
\(4\) |
\(-12\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}-q^{3}+(\beta _{5}+\beta _{6})q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
588.2.b.d |
\(12\) |
\(4.695\) |
12.0.\(\cdots\).1 |
None |
None |
\(4\) |
\(12\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+q^{3}+(\beta _{5}+\beta _{6})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
|
588.2.e.a |
\(4\) |
\(4.695\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
\(\Q(\sqrt{-21}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}-\beta _{2}q^{3}+2q^{4}+\beta _{3}q^{5}+\beta _{3}q^{6}+\cdots\)
|
588.2.e.b |
\(8\) |
\(4.695\) |
8.0.3317760000.1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{6}q^{2}-\beta _{2}q^{3}+(-1-\beta _{3})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
|
588.2.e.c |
\(12\) |
\(4.695\) |
12.0.\(\cdots\).2 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{2}q^{2}+\beta _{10}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots\)
|
588.2.e.d |
\(12\) |
\(4.695\) |
12.0.\(\cdots\).1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}-\beta _{8}q^{3}+\beta _{2}q^{4}-\beta _{3}q^{5}+\cdots\)
|
588.2.e.e |
\(12\) |
\(4.695\) |
12.0.\(\cdots\).1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+\beta _{8}q^{3}+\beta _{2}q^{4}+\beta _{3}q^{5}+\cdots\)
|
588.2.e.f |
\(24\) |
\(4.695\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
588.2.f.a |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-3\) |
\(6\) |
\(0\) |
|
\(q+(-1-\zeta_{6})q^{3}+3q^{5}+3\zeta_{6}q^{9}+(-3+\cdots)q^{11}+\cdots\)
|
588.2.f.b |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{6}q^{3}-3q^{9}-3\zeta_{6}q^{13}-5\zeta_{6}q^{19}+\cdots\)
|
588.2.f.c |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(3\) |
\(-6\) |
\(0\) |
|
\(q+(1+\zeta_{6})q^{3}-3q^{5}+3\zeta_{6}q^{9}+(-3+\cdots)q^{11}+\cdots\)
|
588.2.f.d |
\(8\) |
\(4.695\) |
8.0.3288334336.2 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\beta _{1}+\beta _{6})q^{3}+(-\beta _{1}-\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots\)
|
588.2.i.a |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(0\) |
|
\(q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots\)
|
588.2.i.b |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(0\) |
|
\(q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots\)
|
588.2.i.c |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
|
\(q+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{9}+(6-6\zeta_{6})q^{11}+\cdots\)
|
588.2.i.d |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(4\) |
\(0\) |
|
\(q+(-1+\zeta_{6})q^{3}+4\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots\)
|
588.2.i.e |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(1\) |
\(-4\) |
\(0\) |
|
\(q+(1-\zeta_{6})q^{3}-4\zeta_{6}q^{5}-\zeta_{6}q^{9}+(-2+\cdots)q^{11}+\cdots\)
|
588.2.i.f |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{9}+(6-6\zeta_{6})q^{11}+\cdots\)
|
588.2.i.g |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(1\) |
\(2\) |
\(0\) |
|
\(q+(1-\zeta_{6})q^{3}+2\zeta_{6}q^{5}-\zeta_{6}q^{9}+(-2+\cdots)q^{11}+\cdots\)
|
588.2.k.a |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-3\) |
\(0\) |
\(0\) |
|
\(q+(-1-\zeta_{6})q^{3}+3\zeta_{6}q^{9}+(4-8\zeta_{6})q^{13}+\cdots\)
|
588.2.k.b |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-3\) |
\(0\) |
\(0\) |
|
\(q+(-1-\zeta_{6})q^{3}+3\zeta_{6}q^{9}+(-3+6\zeta_{6})q^{13}+\cdots\)
|
588.2.k.c |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(0\) |
|
\(q+(-1+2\zeta_{6})q^{3}+3\zeta_{6}q^{5}-3q^{9}+\cdots\)
|
588.2.k.d |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(3\) |
\(-3\) |
\(0\) |
|
\(q+(2-\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(3-3\zeta_{6})q^{9}+\cdots\)
|
588.2.k.e |
\(2\) |
\(4.695\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(3\) |
\(0\) |
\(0\) |
|
\(q+(1+\zeta_{6})q^{3}+3\zeta_{6}q^{9}+(-4+8\zeta_{6})q^{13}+\cdots\)
|
588.2.k.f |
\(16\) |
\(4.695\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\beta _{1}-\beta _{5}-\beta _{8})q^{3}+(\beta _{1}-2\beta _{7}+\cdots)q^{5}+\cdots\)
|
588.2.n.a |
\(4\) |
\(4.695\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
\(\Q(\sqrt{-21}) \) |
None |
\(0\) |
\(-6\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(-2-\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots\)
|
588.2.n.b |
\(4\) |
\(4.695\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
\(\Q(\sqrt{-21}) \) |
None |
\(0\) |
\(6\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{3}+2\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
|
588.2.n.c |
\(16\) |
\(4.695\) |
16.0.\(\cdots\).1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{9}q^{2}+(-\beta _{1}+\beta _{5}+\beta _{15})q^{3}-\beta _{3}q^{4}+\cdots\)
|
588.2.n.d |
\(24\) |
\(4.695\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
588.2.n.e |
\(24\) |
\(4.695\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
588.2.n.f |
\(24\) |
\(4.695\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
588.2.n.g |
\(24\) |
\(4.695\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
588.2.n.h |
\(24\) |
\(4.695\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
588.2.o.a |
\(8\) |
\(4.695\) |
8.0.432972864.2 |
None |
None |
\(1\) |
\(-4\) |
\(0\) |
\(0\) |
|
\(q+(-\beta _{1}-\beta _{6})q^{2}+\beta _{2}q^{3}+\beta _{5}q^{4}+\cdots\)
|
588.2.o.b |
\(8\) |
\(4.695\) |
8.0.562828176.1 |
None |
None |
\(1\) |
\(-4\) |
\(0\) |
\(0\) |
|
\(q+\beta _{6}q^{2}-\beta _{3}q^{3}+(\beta _{1}-\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
|
588.2.o.c |
\(8\) |
\(4.695\) |
8.0.432972864.2 |
None |
None |
\(1\) |
\(4\) |
\(0\) |
\(0\) |
|
\(q+(-\beta _{1}-\beta _{6})q^{2}-\beta _{2}q^{3}+\beta _{5}q^{4}+\cdots\)
|
588.2.o.d |
\(8\) |
\(4.695\) |
8.0.562828176.1 |
None |
None |
\(1\) |
\(4\) |
\(0\) |
\(0\) |
|
\(q-\beta _{4}q^{2}+(1-\beta _{3})q^{3}+(\beta _{2}+\beta _{5}-\beta _{7})q^{4}+\cdots\)
|
588.2.o.e |
\(24\) |
\(4.695\) |
|
None |
None |
\(-4\) |
\(-12\) |
\(0\) |
\(0\) |
|
|