2016.1.e.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{2}q^{7}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+(-\zeta_{8}+\cdots)q^{23}+\cdots\)
|
2016.1.f.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-21}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\cdots)q^{11}+\cdots\)
|
2016.1.l.a |
\(1\) |
\(1.006\) |
\(\Q\) |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{2}) \) |
\(0\) |
\(0\) |
\(0\) |
\(1\) |
|
\(q+q^{7}+2q^{23}-q^{25}+q^{49}-2q^{71}+\cdots\)
|
2016.1.l.b |
\(2\) |
\(1.006\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{42}) \) |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-q^{7}-iq^{11}-q^{25}-iq^{29}+q^{49}+\cdots\)
|
2016.1.bi.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
|
2016.1.bv.a |
\(2\) |
\(1.006\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(-2\) |
\(1\) |
\(1\) |
|
\(q-q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{13}+\cdots\)
|
2016.1.bv.b |
\(2\) |
\(1.006\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(2\) |
\(-1\) |
\(1\) |
|
\(q+q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
|
2016.1.bv.c |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}-\zeta_{12}^{3})q^{5}+\zeta_{12}^{4}q^{7}+\cdots\)
|
2016.1.bw.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}q^{3}-\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{4}q^{13}+\cdots\)
|
2016.1.cd.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots\)
|
2016.1.ce.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
|
\(q+(\zeta_{12}^{3}+\zeta_{12}^{5})q^{5}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{5}q^{11}+\cdots\)
|
2016.1.cm.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(4\) |
\(0\) |
\(0\) |
|
\(q+q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{7}+q^{9}+\cdots\)
|
2016.1.dd.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{3}q^{7}-q^{9}-\zeta_{12}^{2}q^{13}+\cdots\)
|
2016.1.dn.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(-4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-q^{2}+q^{4}+\zeta_{8}^{3}q^{7}-q^{8}+(-\zeta_{8}^{2}+\cdots)q^{11}+\cdots\)
|
2016.1.dn.b |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
|
2016.1.dn.c |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
|
2016.1.dn.d |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+q^{2}+q^{4}+\zeta_{8}^{3}q^{7}+q^{8}+(\zeta_{8}^{2}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
|
2016.1.dp.a |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{3}q^{8}+\cdots\)
|
2016.1.dp.b |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{7}+\zeta_{8}q^{8}+\cdots\)
|
2016.1.dp.c |
\(4\) |
\(1.006\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{3}q^{8}+\cdots\)
|
2016.2.a.a |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(-1\) |
\(-\) |
\(q-2q^{5}-q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
|
2016.2.a.b |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(1\) |
\(+\) |
\(q-2q^{5}+q^{7}+2q^{13}-2q^{17}-4q^{19}+\cdots\)
|
2016.2.a.c |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(+\) |
\(q-q^{7}-4q^{11}+2q^{13}+4q^{17}-4q^{23}+\cdots\)
|
2016.2.a.d |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(+\) |
\(q-q^{7}+2q^{11}-2q^{13}-4q^{17}-4q^{19}+\cdots\)
|
2016.2.a.e |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(+\) |
\(q-q^{7}+4q^{11}-4q^{13}+2q^{17}-6q^{19}+\cdots\)
|
2016.2.a.f |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(-\) |
\(q-q^{7}+4q^{11}+2q^{13}-4q^{17}+4q^{23}+\cdots\)
|
2016.2.a.g |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(1\) |
\(-\) |
\(q+q^{7}-4q^{11}-4q^{13}+2q^{17}+6q^{19}+\cdots\)
|
2016.2.a.h |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(1\) |
\(+\) |
\(q+q^{7}-4q^{11}+2q^{13}-4q^{17}-4q^{23}+\cdots\)
|
2016.2.a.i |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(1\) |
\(+\) |
\(q+q^{7}-2q^{11}-2q^{13}-4q^{17}+4q^{19}+\cdots\)
|
2016.2.a.j |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(1\) |
\(-\) |
\(q+q^{7}+4q^{11}+2q^{13}+4q^{17}+4q^{23}+\cdots\)
|
2016.2.a.k |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(-1\) |
\(-\) |
\(q+2q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
|
2016.2.a.l |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(1\) |
\(+\) |
\(q+2q^{5}+q^{7}-4q^{11}-6q^{13}+2q^{17}+\cdots\)
|
2016.2.a.m |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(-1\) |
\(-\) |
\(q+4q^{5}-q^{7}-2q^{11}-2q^{13}+4q^{19}+\cdots\)
|
2016.2.a.n |
\(1\) |
\(16.098\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(1\) |
\(-\) |
\(q+4q^{5}+q^{7}+2q^{11}-2q^{13}-4q^{19}+\cdots\)
|
2016.2.a.o |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{5}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(-2\) |
\(-\) |
\(q+(-1-\beta )q^{5}-q^{7}+(-2-2\beta )q^{11}+\cdots\)
|
2016.2.a.p |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{5}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(-2\) |
\(+\) |
\(q+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
|
2016.2.a.q |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{5}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(+\) |
\(q+(-1-\beta )q^{5}+q^{7}+(-1-\beta )q^{11}+\cdots\)
|
2016.2.a.r |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{5}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(-\) |
\(q+(-1-\beta )q^{5}+q^{7}+(2+2\beta )q^{11}+\cdots\)
|
2016.2.a.s |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
\(+\) |
\(q+\beta q^{5}-q^{7}+(-2-\beta )q^{11}+2q^{13}+\cdots\)
|
2016.2.a.t |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
\(-\) |
\(q+\beta q^{5}+q^{7}+(2+\beta )q^{11}+2q^{13}+\cdots\)
|
2016.2.a.u |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{5}) \) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(-2\) |
\(-\) |
\(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots\)
|
2016.2.a.v |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{5}) \) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(2\) |
\(-\) |
\(q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
|
2016.2.b.a |
\(8\) |
\(16.098\) |
8.0.836829184.2 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q-\beta _{1}q^{5}+\beta _{4}q^{7}+(\beta _{2}+\beta _{4}+\beta _{7})q^{11}+\cdots\)
|
2016.2.b.b |
\(8\) |
\(16.098\) |
\(\Q(\zeta_{16})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{16}^{5}q^{5}+\zeta_{16}^{6}q^{7}-\zeta_{16}q^{11}+\cdots\)
|
2016.2.b.c |
\(8\) |
\(16.098\) |
8.0.836829184.2 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q-\beta _{1}q^{5}-\beta _{4}q^{7}+(-\beta _{2}-\beta _{4}-\beta _{7})q^{11}+\cdots\)
|
2016.2.b.d |
\(16\) |
\(16.098\) |
16.0.\(\cdots\).7 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{5}-\beta _{8}q^{7}+(\beta _{7}+\beta _{11})q^{11}+\cdots\)
|
2016.2.c.a |
\(2\) |
\(16.098\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+\beta q^{5}-q^{7}+2\beta q^{11}-3\beta q^{13}+6q^{17}+\cdots\)
|
2016.2.c.b |
\(4\) |
\(16.098\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q-\beta _{1}q^{5}-q^{7}+\beta _{1}q^{11}+\beta _{2}q^{17}+\cdots\)
|
2016.2.c.c |
\(4\) |
\(16.098\) |
4.0.2312.1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+\beta _{2}q^{5}+q^{7}+(-\beta _{1}+\beta _{2})q^{11}+\beta _{2}q^{13}+\cdots\)
|
2016.2.c.d |
\(4\) |
\(16.098\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q-\zeta_{12}^{3}q^{5}+q^{7}+(-\zeta_{12}^{2}+\zeta_{12}^{3})q^{11}+\cdots\)
|