1344.1.e.a |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{21}) \) |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q-q^{3}-iq^{5}-iq^{7}+q^{9}+2iq^{15}+\cdots\)
|
1344.1.e.b |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{42}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{3}-iq^{7}-q^{9}-q^{13}-iq^{19}+\cdots\)
|
1344.1.e.c |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{42}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+iq^{3}-iq^{7}-q^{9}+q^{13}+iq^{19}+\cdots\)
|
1344.1.e.d |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{21}) \) |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
|
\(q+q^{3}-iq^{5}+iq^{7}+q^{9}-2iq^{15}+\cdots\)
|
1344.1.o.a |
\(1\) |
\(0.671\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-21}) \) |
\(\Q(\sqrt{7}) \) |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
|
\(q-q^{3}-q^{7}+q^{9}+2q^{19}+q^{21}-q^{25}+\cdots\)
|
1344.1.o.b |
\(1\) |
\(0.671\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-21}) \) |
\(\Q(\sqrt{7}) \) |
\(0\) |
\(1\) |
\(0\) |
\(1\) |
|
\(q+q^{3}+q^{7}+q^{9}-2q^{19}+q^{21}-q^{25}+\cdots\)
|
1344.1.z.a |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
|
\(q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{13}+\cdots\)
|
1344.1.z.b |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(1\) |
|
\(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{13}+\cdots\)
|
1344.1.ba.a |
\(4\) |
\(0.671\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}+(-\zeta_{12}^{2}+\cdots)q^{13}+\cdots\)
|
1344.1.ba.b |
\(4\) |
\(0.671\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}+(\zeta_{12}^{2}+\cdots)q^{13}+\cdots\)
|
1344.1.bm.a |
\(4\) |
\(0.671\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{2}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{5}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
|
1344.1.bm.b |
\(4\) |
\(0.671\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}-q^{13}+\cdots\)
|
1344.1.bm.c |
\(4\) |
\(0.671\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}+q^{13}+\cdots\)
|
1344.1.bm.d |
\(4\) |
\(0.671\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(2\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}^{2}q^{3}-\zeta_{12}q^{5}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
|
1344.1.bn.a |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(1\) |
|
\(q+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+q^{13}+\cdots\)
|
1344.1.bn.b |
\(2\) |
\(0.671\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(-1\) |
|
\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+q^{13}+\cdots\)
|
1344.2.a.a |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(-4\) |
\(1\) |
\(+\) |
\(q-q^{3}-4q^{5}+q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
|
1344.2.a.b |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(-1\) |
\(-\) |
\(q-q^{3}-2q^{5}-q^{7}+q^{9}-6q^{13}+2q^{15}+\cdots\)
|
1344.2.a.c |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(-1\) |
\(+\) |
\(q-q^{3}-2q^{5}-q^{7}+q^{9}+2q^{13}+2q^{15}+\cdots\)
|
1344.2.a.d |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(1\) |
\(+\) |
\(q-q^{3}-2q^{5}+q^{7}+q^{9}-2q^{13}+2q^{15}+\cdots\)
|
1344.2.a.e |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(0\) |
\(1\) |
\(-\) |
\(q-q^{3}+q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
|
1344.2.a.f |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(0\) |
\(1\) |
\(-\) |
\(q-q^{3}+q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
|
1344.2.a.g |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(2\) |
\(-1\) |
\(+\) |
\(q-q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
|
1344.2.a.h |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(2\) |
\(-1\) |
\(-\) |
\(q-q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
|
1344.2.a.i |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(2\) |
\(1\) |
\(+\) |
\(q-q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
|
1344.2.a.j |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(-1\) |
\(4\) |
\(1\) |
\(-\) |
\(q-q^{3}+4q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
|
1344.2.a.k |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(-4\) |
\(-1\) |
\(-\) |
\(q+q^{3}-4q^{5}-q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
|
1344.2.a.l |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(-2\) |
\(-1\) |
\(+\) |
\(q+q^{3}-2q^{5}-q^{7}+q^{9}-2q^{13}-2q^{15}+\cdots\)
|
1344.2.a.m |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(-2\) |
\(1\) |
\(+\) |
\(q+q^{3}-2q^{5}+q^{7}+q^{9}-6q^{13}-2q^{15}+\cdots\)
|
1344.2.a.n |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(-2\) |
\(1\) |
\(-\) |
\(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{13}-2q^{15}+\cdots\)
|
1344.2.a.o |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(0\) |
\(-1\) |
\(+\) |
\(q+q^{3}-q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
|
1344.2.a.p |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(0\) |
\(-1\) |
\(-\) |
\(q+q^{3}-q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
|
1344.2.a.q |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(2\) |
\(-1\) |
\(-\) |
\(q+q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
|
1344.2.a.r |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(2\) |
\(1\) |
\(-\) |
\(q+q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
|
1344.2.a.s |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(2\) |
\(1\) |
\(-\) |
\(q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
|
1344.2.a.t |
\(1\) |
\(10.732\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(4\) |
\(-1\) |
\(-\) |
\(q+q^{3}+4q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
|
1344.2.a.u |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(-2\) |
\(0\) |
\(-2\) |
\(-\) |
\(q-q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
|
1344.2.a.v |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(2\) |
\(0\) |
\(2\) |
\(-\) |
\(q+q^{3}+\beta q^{5}+q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
|
1344.2.b.a |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-6}) \) |
None |
None |
\(0\) |
\(-2\) |
\(0\) |
\(-2\) |
|
\(q-q^{3}+\beta q^{5}+(-1-\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
|
1344.2.b.b |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-2\) |
\(0\) |
\(4\) |
|
\(q-q^{3}+(2-\zeta_{6})q^{7}+q^{9}+2\zeta_{6}q^{11}+\cdots\)
|
1344.2.b.c |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(2\) |
\(0\) |
\(-4\) |
|
\(q+q^{3}+(-2+\zeta_{6})q^{7}+q^{9}-2\zeta_{6}q^{11}+\cdots\)
|
1344.2.b.d |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-6}) \) |
None |
None |
\(0\) |
\(2\) |
\(0\) |
\(2\) |
|
\(q+q^{3}+\beta q^{5}+(1+\beta )q^{7}+q^{9}+\beta q^{11}+\cdots\)
|
1344.2.b.e |
\(4\) |
\(10.732\) |
4.0.2312.1 |
None |
None |
\(0\) |
\(-4\) |
\(0\) |
\(-2\) |
|
\(q-q^{3}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
|
1344.2.b.f |
\(4\) |
\(10.732\) |
4.0.2312.1 |
None |
None |
\(0\) |
\(4\) |
\(0\) |
\(2\) |
|
\(q+q^{3}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
|
1344.2.b.g |
\(8\) |
\(10.732\) |
8.0.836829184.2 |
None |
None |
\(0\) |
\(-8\) |
\(0\) |
\(4\) |
|
\(q-q^{3}-\beta _{1}q^{5}-\beta _{4}q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
|
1344.2.b.h |
\(8\) |
\(10.732\) |
8.0.836829184.2 |
None |
None |
\(0\) |
\(8\) |
\(0\) |
\(-4\) |
|
\(q+q^{3}-\beta _{1}q^{5}+\beta _{4}q^{7}+q^{9}+(\beta _{2}+\beta _{4}+\cdots)q^{11}+\cdots\)
|
1344.2.c.a |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-2iq^{11}+\cdots\)
|
1344.2.c.b |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-iq^{3}+2iq^{5}-q^{7}-q^{9}-2iq^{11}+\cdots\)
|
1344.2.c.c |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
|
\(q+iq^{3}+2iq^{5}+q^{7}-q^{9}+2iq^{11}+\cdots\)
|
1344.2.c.d |
\(2\) |
\(10.732\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
|
\(q-iq^{3}+2iq^{5}+q^{7}-q^{9}+2iq^{11}+\cdots\)
|