2880.1.c.a |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{13}+(\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots\)
|
2880.1.i.a |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+(\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
|
2880.1.i.b |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+(-\zeta_{8}+\cdots)q^{11}+\cdots\)
|
2880.1.j.a |
\(1\) |
\(1.437\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) |
\(\Q(\sqrt{5}) \) |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
|
\(q-q^{5}+q^{25}+2q^{29}+2q^{41}-q^{49}+\cdots\)
|
2880.1.j.b |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-15}) \) |
\(\Q(\sqrt{15}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{5}-iq^{17}-q^{25}-q^{49}-iq^{53}+\cdots\)
|
2880.1.p.a |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{5}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{5}-q^{11}-q^{25}-iq^{29}-iq^{31}+\cdots\)
|
2880.1.p.b |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-30}) \) |
\(\Q(\sqrt{5}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{5}+q^{11}-q^{25}-iq^{29}+iq^{31}+\cdots\)
|
2880.1.r.a |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-15}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{8}^{3}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+(-1+\cdots)q^{19}+\cdots\)
|
2880.1.bh.a |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q-q^{5}+(-1-i)q^{13}+(-1+i)q^{17}+\cdots\)
|
2880.1.bh.b |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+iq^{5}+(1+i)q^{13}+(1-i)q^{17}-q^{25}+\cdots\)
|
2880.1.bh.c |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+q^{5}+(-1-i)q^{13}+(1-i)q^{17}+\cdots\)
|
2880.1.bk.a |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{3}q^{5}+(-1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{17}+\cdots\)
|
2880.1.bk.b |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}q^{5}+(1+\zeta_{8}^{2})q^{13}+\zeta_{8}^{2}q^{25}+\cdots\)
|
2880.1.bu.a |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-5}) \) |
None |
\(0\) |
\(-1\) |
\(1\) |
\(-1\) |
|
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
|
2880.1.bu.b |
\(2\) |
\(1.437\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-5}) \) |
None |
\(0\) |
\(1\) |
\(1\) |
\(1\) |
|
\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
|
2880.1.bu.c |
\(4\) |
\(1.437\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-5}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q-\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{5}+(-\zeta_{12}^{3}-\zeta_{12}^{5}+\cdots)q^{7}+\cdots\)
|
2880.1.cd.a |
\(8\) |
\(1.437\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-5}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{24}^{11}q^{3}+\zeta_{24}^{2}q^{5}+(-\zeta_{24}^{3}+\cdots)q^{7}+\cdots\)
|
2880.1.ec.a |
\(16\) |
\(1.437\) |
\(\Q(\zeta_{32})\) |
\(\Q(\sqrt{-15}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{32}^{7}q^{2}+\zeta_{32}^{14}q^{4}-\zeta_{32}q^{5}+\cdots\)
|
2880.2.a.a |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-4\) |
\(-\) |
\(q-q^{5}-4q^{7}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
|
2880.2.a.b |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-4\) |
\(+\) |
\(q-q^{5}-4q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
|
2880.2.a.c |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-4\) |
\(-\) |
\(q-q^{5}-4q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots\)
|
2880.2.a.d |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-2\) |
\(-\) |
\(q-q^{5}-2q^{7}-4q^{11}+6q^{13}-2q^{17}+\cdots\)
|
2880.2.a.e |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-2\) |
\(-\) |
\(q-q^{5}-2q^{7}-2q^{11}-4q^{13}+2q^{17}+\cdots\)
|
2880.2.a.f |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-2\) |
\(+\) |
\(q-q^{5}-2q^{7}-2q^{13}+6q^{17}-4q^{19}+\cdots\)
|
2880.2.a.g |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-2\) |
\(+\) |
\(q-q^{5}-2q^{7}+2q^{11}-2q^{17}+4q^{19}+\cdots\)
|
2880.2.a.h |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-2\) |
\(-\) |
\(q-q^{5}-2q^{7}+6q^{11}+4q^{13}-6q^{17}+\cdots\)
|
2880.2.a.i |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
\(+\) |
\(q-q^{5}-4q^{11}-2q^{13}+2q^{17}+8q^{19}+\cdots\)
|
2880.2.a.j |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
\(+\) |
\(q-q^{5}+4q^{11}-2q^{13}+2q^{17}-8q^{19}+\cdots\)
|
2880.2.a.k |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(2\) |
\(+\) |
\(q-q^{5}+2q^{7}-6q^{11}+4q^{13}-6q^{17}+\cdots\)
|
2880.2.a.l |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(2\) |
\(+\) |
\(q-q^{5}+2q^{7}-2q^{11}-2q^{17}-4q^{19}+\cdots\)
|
2880.2.a.m |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(2\) |
\(-\) |
\(q-q^{5}+2q^{7}-2q^{13}+6q^{17}+4q^{19}+\cdots\)
|
2880.2.a.n |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(2\) |
\(+\) |
\(q-q^{5}+2q^{7}+2q^{11}-4q^{13}+2q^{17}+\cdots\)
|
2880.2.a.o |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(2\) |
\(-\) |
\(q-q^{5}+2q^{7}+4q^{11}+6q^{13}-2q^{17}+\cdots\)
|
2880.2.a.p |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(4\) |
\(-\) |
\(q-q^{5}+4q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots\)
|
2880.2.a.q |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(4\) |
\(+\) |
\(q-q^{5}+4q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
|
2880.2.a.r |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(4\) |
\(-\) |
\(q-q^{5}+4q^{7}+6q^{13}+2q^{17}-4q^{19}+\cdots\)
|
2880.2.a.s |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-4\) |
\(-\) |
\(q+q^{5}-4q^{7}+2q^{13}+6q^{17}+4q^{23}+\cdots\)
|
2880.2.a.t |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-4\) |
\(+\) |
\(q+q^{5}-4q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
|
2880.2.a.u |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-2\) |
\(+\) |
\(q+q^{5}-2q^{7}-6q^{11}+4q^{13}+6q^{17}+\cdots\)
|
2880.2.a.v |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-2\) |
\(-\) |
\(q+q^{5}-2q^{7}-2q^{11}+2q^{17}+4q^{19}+\cdots\)
|
2880.2.a.w |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-2\) |
\(+\) |
\(q+q^{5}-2q^{7}+2q^{11}-4q^{13}-2q^{17}+\cdots\)
|
2880.2.a.x |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(+\) |
\(q+q^{5}-4q^{11}-6q^{13}+6q^{17}+4q^{19}+\cdots\)
|
2880.2.a.y |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(+\) |
\(q+q^{5}-4q^{11}+2q^{13}-2q^{17}-4q^{19}+\cdots\)
|
2880.2.a.z |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(+\) |
\(q+q^{5}-2q^{13}-6q^{17}-4q^{19}+8q^{23}+\cdots\)
|
2880.2.a.ba |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(+\) |
\(q+q^{5}-2q^{13}-6q^{17}+4q^{19}-8q^{23}+\cdots\)
|
2880.2.a.bb |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(-\) |
\(q+q^{5}+4q^{11}-6q^{13}+6q^{17}-4q^{19}+\cdots\)
|
2880.2.a.bc |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(-\) |
\(q+q^{5}+4q^{11}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
|
2880.2.a.bd |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(2\) |
\(-\) |
\(q+q^{5}+2q^{7}-2q^{11}-4q^{13}-2q^{17}+\cdots\)
|
2880.2.a.be |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(2\) |
\(-\) |
\(q+q^{5}+2q^{7}+2q^{11}+2q^{17}-4q^{19}+\cdots\)
|
2880.2.a.bf |
\(1\) |
\(22.997\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(2\) |
\(-\) |
\(q+q^{5}+2q^{7}+6q^{11}+4q^{13}+6q^{17}+\cdots\)
|