1764.1.d.a |
\(2\) |
\(0.880\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\zeta_{6}+\zeta_{6}^{2})q^{13}+(\zeta_{6}+\zeta_{6}^{2})q^{19}+\cdots\)
|
1764.1.g.a |
\(1\) |
\(0.880\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) |
\(\Q(\sqrt{7}) \) |
\(1\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+q^{2}+q^{4}+q^{8}+q^{16}-q^{25}+2q^{29}+\cdots\)
|
1764.1.g.b |
\(2\) |
\(0.880\) |
\(\Q(\sqrt{2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-q^{2}+q^{4}-\beta q^{5}-q^{8}+\beta q^{10}-\beta q^{13}+\cdots\)
|
1764.1.g.c |
\(2\) |
\(0.880\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-21}) \) |
\(\Q(\sqrt{3}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{2}-q^{4}+iq^{8}+iq^{11}+q^{16}+\cdots\)
|
1764.1.g.d |
\(2\) |
\(0.880\) |
\(\Q(\sqrt{2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+q^{2}+q^{4}-\beta q^{5}+q^{8}-\beta q^{10}+\beta q^{13}+\cdots\)
|
1764.1.h.a |
\(8\) |
\(0.880\) |
\(\Q(\zeta_{16})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{16}^{4}q^{2}-q^{4}+(\zeta_{16}^{3}-\zeta_{16}^{5})q^{5}+\cdots\)
|
1764.1.q.a |
\(8\) |
\(0.880\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{9}q^{8}+\cdots\)
|
1764.1.q.b |
\(16\) |
\(0.880\) |
\(\Q(\zeta_{48})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{48}^{20}q^{2}-\zeta_{48}^{16}q^{4}+(-\zeta_{48}^{5}+\cdots)q^{5}+\cdots\)
|
1764.1.y.a |
\(2\) |
\(0.880\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-7}) \) |
\(\Q(\sqrt{7}) \) |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+q^{8}-\zeta_{6}q^{16}+\cdots\)
|
1764.1.y.b |
\(4\) |
\(0.880\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
|
1764.1.y.c |
\(4\) |
\(0.880\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-21}) \) |
\(\Q(\sqrt{3}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{8}+\zeta_{12}^{5}q^{11}+\cdots\)
|
1764.1.y.d |
\(4\) |
\(0.880\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
|
1764.1.z.a |
\(2\) |
\(0.880\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(1+\zeta_{6})q^{19}+\cdots\)
|
1764.1.co.a |
\(12\) |
\(0.880\) |
\(\Q(\zeta_{21})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
|
\(q-\zeta_{42}^{16}q^{7}+(-\zeta_{42}^{8}+\zeta_{42}^{10})q^{13}+\cdots\)
|
1764.2.a.a |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-3\) |
\(0\) |
\(+\) |
\(q-3q^{5}+3q^{11}+2q^{13}-3q^{17}-q^{19}+\cdots\)
|
1764.2.a.b |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-2q^{5}-2q^{11}-4q^{13}-6q^{17}+8q^{19}+\cdots\)
|
1764.2.a.c |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-2q^{5}-2q^{11}+3q^{13}+8q^{17}+q^{19}+\cdots\)
|
1764.2.a.d |
\(1\) |
\(14.086\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q-5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots\)
|
1764.2.a.e |
\(1\) |
\(14.086\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q-2q^{13}-8q^{19}-5q^{25}+4q^{31}+\cdots\)
|
1764.2.a.f |
\(1\) |
\(14.086\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+5q^{13}-q^{19}-5q^{25}+11q^{31}+\cdots\)
|
1764.2.a.g |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+6q^{11}-2q^{13}+4q^{19}+6q^{23}+\cdots\)
|
1764.2.a.h |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(+\) |
\(q+2q^{5}-2q^{11}-3q^{13}-8q^{17}-q^{19}+\cdots\)
|
1764.2.a.i |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(-\) |
\(q+2q^{5}-2q^{11}+4q^{13}+6q^{17}-8q^{19}+\cdots\)
|
1764.2.a.j |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(0\) |
\(-\) |
\(q+3q^{5}+3q^{11}-2q^{13}+3q^{17}+q^{19}+\cdots\)
|
1764.2.a.k |
\(1\) |
\(14.086\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
\(-\) |
\(q+4q^{5}-2q^{11}+6q^{13}-4q^{17}+4q^{19}+\cdots\)
|
1764.2.a.l |
\(2\) |
\(14.086\) |
\(\Q(\sqrt{2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q+\beta q^{5}-4q^{11}-3\beta q^{13}+\beta q^{17}+\cdots\)
|
1764.2.a.m |
\(4\) |
\(14.086\) |
\(\Q(\sqrt{2}, \sqrt{7})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+\beta _{2}q^{5}-\beta _{3}q^{11}-3\beta _{1}q^{13}+\beta _{2}q^{17}+\cdots\)
|
1764.2.b.a |
\(4\) |
\(14.086\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(-4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-1+\zeta_{12})q^{2}-2\zeta_{12}q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
|
1764.2.b.b |
\(4\) |
\(14.086\) |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
None |
None |
\(-2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{2}q^{2}+(-2-\beta _{2})q^{4}+\beta _{3}q^{5}+(2+\cdots)q^{8}+\cdots\)
|
1764.2.b.c |
\(4\) |
\(14.086\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{3}q^{2}+(1-\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
|
1764.2.b.d |
\(4\) |
\(14.086\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{3}q^{2}+(1-\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
|
1764.2.b.e |
\(4\) |
\(14.086\) |
4.0.2048.2 |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{2}q^{2}+2q^{4}+(\beta _{1}+2\beta _{3})q^{5}+2\beta _{2}q^{8}+\cdots\)
|
1764.2.b.f |
\(4\) |
\(14.086\) |
4.0.2048.2 |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{2}q^{2}+2q^{4}+\beta _{1}q^{5}+2\beta _{2}q^{8}+\cdots\)
|
1764.2.b.g |
\(4\) |
\(14.086\) |
4.0.2048.2 |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+2q^{4}+(\beta _{1}+2\beta _{3})q^{5}-2\beta _{2}q^{8}+\cdots\)
|
1764.2.b.h |
\(4\) |
\(14.086\) |
\(\Q(\sqrt{-3}, \sqrt{-7})\) |
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+(-2-\beta _{2})q^{4}+\beta _{3}q^{5}+(-2+\cdots)q^{8}+\cdots\)
|
1764.2.b.i |
\(8\) |
\(14.086\) |
8.0.562828176.1 |
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{2}-\beta _{5})q^{5}+(\beta _{3}+\cdots)q^{8}+\cdots\)
|
1764.2.b.j |
\(8\) |
\(14.086\) |
8.0.562828176.1 |
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{4}q^{2}+\beta _{6}q^{4}+(\beta _{2}-\beta _{6})q^{5}+(-1+\cdots)q^{8}+\cdots\)
|
1764.2.b.k |
\(8\) |
\(14.086\) |
8.0.\(\cdots\).10 |
None |
None |
\(4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(1+\beta _{3})q^{2}+(1+\beta _{3}+\beta _{5}-\beta _{6})q^{4}+\cdots\)
|
1764.2.b.l |
\(12\) |
\(14.086\) |
12.0.\(\cdots\).1 |
None |
None |
\(-4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{2}+(\beta _{5}+\beta _{6})q^{4}+(1-\beta _{1}+\beta _{6}+\cdots)q^{5}+\cdots\)
|
1764.2.b.m |
\(12\) |
\(14.086\) |
12.0.\(\cdots\).1 |
None |
None |
\(-4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{4}q^{2}+(-\beta _{2}-\beta _{11})q^{4}+(-1+\beta _{3}+\cdots)q^{5}+\cdots\)
|
1764.2.b.n |
\(16\) |
\(14.086\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{7}q^{2}+(-1+\beta _{1}-\beta _{10})q^{4}+\beta _{12}q^{5}+\cdots\)
|
1764.2.e.a |
\(2\) |
\(14.086\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{2}-2q^{4}+3\beta q^{5}-2\beta q^{8}-6q^{10}+\cdots\)
|
1764.2.e.b |
\(2\) |
\(14.086\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{2}-2q^{4}+\beta q^{5}-2\beta q^{8}-2q^{10}+\cdots\)
|
1764.2.e.c |
\(2\) |
\(14.086\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta q^{2}-2q^{4}+3\beta q^{5}+2\beta q^{8}+6q^{10}+\cdots\)
|
1764.2.e.d |
\(4\) |
\(14.086\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}^{2}q^{2}-2q^{4}+2\zeta_{8}q^{5}+2\zeta_{8}^{2}q^{8}+\cdots\)
|
1764.2.e.e |
\(4\) |
\(14.086\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{2}q^{2}-2q^{4}-\zeta_{8}q^{5}-2\zeta_{8}^{2}q^{8}+\cdots\)
|
1764.2.e.f |
\(8\) |
\(14.086\) |
8.0.157351936.1 |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{6}q^{2}-\beta _{1}q^{4}-\beta _{5}q^{8}+(\beta _{5}+\beta _{6}+\cdots)q^{11}+\cdots\)
|
1764.2.e.g |
\(12\) |
\(14.086\) |
12.0.\(\cdots\).1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{6}q^{2}+(1+\beta _{10})q^{4}-\beta _{4}q^{5}+(\beta _{6}+\cdots)q^{8}+\cdots\)
|
1764.2.e.h |
\(16\) |
\(14.086\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{5}q^{5}+(\beta _{3}-\beta _{5}+\cdots)q^{8}+\cdots\)
|
1764.2.e.i |
\(16\) |
\(14.086\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{5}q^{5}+(-\beta _{3}+\beta _{5}+\cdots)q^{8}+\cdots\)
|