2520.1.b.a |
\(4\) |
\(1.258\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+\zeta_{8}^{2}q^{2}-q^{4}-q^{5}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
|
2520.1.b.b |
\(4\) |
\(1.258\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q-\zeta_{8}^{2}q^{2}-q^{4}+q^{5}-\zeta_{8}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
|
2520.1.h.a |
\(1\) |
\(1.258\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) |
\(\Q(\sqrt{105}) \) |
\(-1\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
|
2520.1.h.b |
\(1\) |
\(1.258\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) |
\(\Q(\sqrt{105}) \) |
\(-1\) |
\(0\) |
\(1\) |
\(1\) |
|
\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
|
2520.1.h.c |
\(1\) |
\(1.258\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) |
\(\Q(\sqrt{105}) \) |
\(1\) |
\(0\) |
\(-1\) |
\(1\) |
|
\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
|
2520.1.h.d |
\(1\) |
\(1.258\) |
\(\Q\) |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-70}) \) |
\(\Q(\sqrt{105}) \) |
\(1\) |
\(0\) |
\(1\) |
\(-1\) |
|
\(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
|
2520.1.h.e |
\(4\) |
\(1.258\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{8}^{2}q^{2}-q^{4}+\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
|
2520.1.ef.a |
\(2\) |
\(1.258\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-10}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(-2\) |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{7}+\cdots\)
|
2520.1.ef.b |
\(2\) |
\(1.258\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-10}) \) |
None |
\(1\) |
\(0\) |
\(1\) |
\(2\) |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots\)
|
2520.1.ef.c |
\(4\) |
\(1.258\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(-2\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots\)
|
2520.1.ef.d |
\(4\) |
\(1.258\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(2\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
|
2520.1.ek.a |
\(2\) |
\(1.258\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(-1\) |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
|
2520.1.ek.b |
\(2\) |
\(1.258\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(-1\) |
\(0\) |
\(2\) |
\(1\) |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}+\zeta_{6}q^{7}+q^{8}+\cdots\)
|
2520.1.ek.c |
\(2\) |
\(1.258\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(1\) |
\(0\) |
\(-2\) |
\(1\) |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+\zeta_{6}q^{7}-q^{8}+\cdots\)
|
2520.1.ek.d |
\(2\) |
\(1.258\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
|
2520.1.eq.a |
\(8\) |
\(1.258\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}-\zeta_{24}^{4}q^{5}+\cdots\)
|
2520.1.eq.b |
\(8\) |
\(1.258\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-10}) \) |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{8}q^{4}+\zeta_{24}^{4}q^{5}+\cdots\)
|
2520.1.fw.a |
\(8\) |
\(1.258\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
|
2520.1.fw.b |
\(8\) |
\(1.258\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{24}^{2}q^{2}-\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
|
2520.1.hf.a |
\(16\) |
\(1.258\) |
\(\Q(\zeta_{48})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{48}^{2}q^{2}+\zeta_{48}^{15}q^{3}+\zeta_{48}^{4}q^{4}+\cdots\)
|
2520.1.hf.b |
\(16\) |
\(1.258\) |
\(\Q(\zeta_{48})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots\)
|
2520.1.ik.a |
\(8\) |
\(1.258\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+\cdots\)
|
2520.1.ik.b |
\(8\) |
\(1.258\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{5}+\cdots\)
|
2520.2.a.a |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{5}-q^{7}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
|
2520.2.a.b |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{5}-q^{7}-4q^{11}+6q^{13}+4q^{17}+\cdots\)
|
2520.2.a.c |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(+\) |
\(q-q^{5}-q^{7}-2q^{11}-2q^{13}+6q^{17}+\cdots\)
|
2520.2.a.d |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(+\) |
\(q-q^{5}-q^{7}+2q^{13}-2q^{17}+q^{25}+\cdots\)
|
2520.2.a.e |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{5}-q^{7}+2q^{11}-6q^{13}-2q^{17}+\cdots\)
|
2520.2.a.f |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{5}-q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
|
2520.2.a.g |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(1\) |
\(+\) |
\(q-q^{5}+q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
|
2520.2.a.h |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(1\) |
\(+\) |
\(q-q^{5}+q^{7}+2q^{11}-2q^{13}-2q^{17}+\cdots\)
|
2520.2.a.i |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(1\) |
\(-\) |
\(q-q^{5}+q^{7}+5q^{11}-5q^{13}+7q^{17}+\cdots\)
|
2520.2.a.j |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{5}-q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
|
2520.2.a.k |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{5}-q^{7}-2q^{11}-6q^{13}+2q^{17}+\cdots\)
|
2520.2.a.l |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{5}-q^{7}+6q^{13}+2q^{17}+4q^{19}+\cdots\)
|
2520.2.a.m |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(+\) |
\(q+q^{5}-q^{7}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
|
2520.2.a.n |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(+\) |
\(q+q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
|
2520.2.a.o |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{5}-q^{7}+4q^{11}+6q^{13}-4q^{17}+\cdots\)
|
2520.2.a.p |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{5}-q^{7}+5q^{11}+q^{13}-3q^{17}+\cdots\)
|
2520.2.a.q |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
\(+\) |
\(q+q^{5}+q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots\)
|
2520.2.a.r |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
\(+\) |
\(q+q^{5}+q^{7}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
|
2520.2.a.s |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
\(-\) |
\(q+q^{5}+q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
|
2520.2.a.t |
\(1\) |
\(20.122\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
\(-\) |
\(q+q^{5}+q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
|
2520.2.a.u |
\(2\) |
\(20.122\) |
\(\Q(\sqrt{17}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(-\) |
\(q-q^{5}+q^{7}+(-1-\beta )q^{11}+2q^{13}+\cdots\)
|
2520.2.a.v |
\(2\) |
\(20.122\) |
\(\Q(\sqrt{2}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(-\) |
\(q-q^{5}+q^{7}+\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots\)
|
2520.2.a.w |
\(2\) |
\(20.122\) |
\(\Q(\sqrt{17}) \) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(+\) |
\(q-q^{5}+q^{7}+\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
|
2520.2.a.x |
\(2\) |
\(20.122\) |
\(\Q(\sqrt{33}) \) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(-2\) |
\(+\) |
\(q+q^{5}-q^{7}+(-3-\beta )q^{11}+(1+\beta )q^{13}+\cdots\)
|
2520.2.a.y |
\(2\) |
\(20.122\) |
\(\Q(\sqrt{17}) \) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(2\) |
\(-\) |
\(q+q^{5}+q^{7}+(1+\beta )q^{11}+2q^{13}+(1+\cdots)q^{17}+\cdots\)
|
2520.2.e.a |
\(48\) |
\(20.122\) |
|
None |
None |
\(-4\) |
\(0\) |
\(48\) |
\(0\) |
|
|
2520.2.e.b |
\(48\) |
\(20.122\) |
|
None |
None |
\(4\) |
\(0\) |
\(-48\) |
\(0\) |
|
|