2304.1.b.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{3}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{13}+q^{25}-iq^{37}+q^{49}+iq^{61}+\cdots\)
|
2304.1.e.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta q^{5}-2q^{13}-\beta q^{17}-q^{25}-\beta q^{29}+\cdots\)
|
2304.1.e.b |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{5}+2q^{13}-\beta q^{17}-q^{25}+\beta q^{29}+\cdots\)
|
2304.1.g.a |
\(1\) |
\(1.150\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{6}) \) |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q-2q^{5}+3q^{25}+2q^{29}+q^{49}+2q^{53}+\cdots\)
|
2304.1.g.b |
\(1\) |
\(1.150\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{2}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+2q^{17}-q^{25}+2q^{41}+q^{49}+2q^{73}+\cdots\)
|
2304.1.g.c |
\(1\) |
\(1.150\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{6}) \) |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+2q^{5}+3q^{25}-2q^{29}+q^{49}-2q^{53}+\cdots\)
|
2304.1.g.d |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{2}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-iq^{7}-q^{25}-iq^{31}-3q^{49}+q^{73}+\cdots\)
|
2304.1.h.a |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots\)
|
2304.1.m.a |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(-1+\zeta_{8}^{2})q^{13}+\cdots\)
|
2304.1.m.b |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{19}+\cdots\)
|
2304.1.o.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots\)
|
2304.1.o.b |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+q^{17}+\cdots\)
|
2304.1.o.c |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots\)
|
2304.1.q.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
|
2304.1.q.b |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots\)
|
2304.1.q.c |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots\)
|
2304.1.t.a |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(-4\) |
\(0\) |
\(0\) |
|
\(q-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+q^{9}-\zeta_{12}^{4}q^{11}+\cdots\)
|
2304.1.t.b |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(4\) |
\(0\) |
\(0\) |
|
\(q+q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{7}+q^{9}+\zeta_{12}^{4}q^{11}+\cdots\)
|
2304.1.z.a |
\(8\) |
\(1.150\) |
\(\Q(\zeta_{24})\) |
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+\zeta_{24}^{5}q^{3}+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{5}+\cdots\)
|
2304.1.z.b |
\(8\) |
\(1.150\) |
\(\Q(\zeta_{24})\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{4}-\zeta_{24}^{10})q^{5}+(\zeta_{24}^{5}+\cdots)q^{7}+\cdots\)
|
2304.2.a.a |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
\(+\) |
\(q-4q^{5}+4q^{13}+2q^{17}+11q^{25}+\cdots\)
|
2304.2.a.b |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(-2\) |
\(+\) |
\(q-2q^{5}-2q^{7}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
|
2304.2.a.c |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(+\) |
\(q-2q^{5}-4q^{13}+8q^{17}-q^{25}+10q^{29}+\cdots\)
|
2304.2.a.d |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-2q^{5}+4q^{13}-8q^{17}-q^{25}+10q^{29}+\cdots\)
|
2304.2.a.e |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(-\) |
\(q-2q^{5}+2q^{7}+4q^{13}+2q^{17}-4q^{19}+\cdots\)
|
2304.2.a.f |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
\(-\) |
\(q-4q^{7}-4q^{11}+4q^{13}+2q^{17}-4q^{19}+\cdots\)
|
2304.2.a.g |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
\(+\) |
\(q-4q^{7}+4q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
|
2304.2.a.h |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q-6q^{11}+6q^{17}+2q^{19}-5q^{25}+\cdots\)
|
2304.2.a.i |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+6q^{11}+6q^{17}-2q^{19}-5q^{25}+\cdots\)
|
2304.2.a.j |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
\(+\) |
\(q+4q^{7}-4q^{11}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
|
2304.2.a.k |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
\(-\) |
\(q+4q^{7}+4q^{11}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
|
2304.2.a.l |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(-2\) |
\(+\) |
\(q+2q^{5}-2q^{7}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
|
2304.2.a.m |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(+\) |
\(q+2q^{5}-4q^{13}-8q^{17}-q^{25}-10q^{29}+\cdots\)
|
2304.2.a.n |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(-\) |
\(q+2q^{5}+4q^{13}+8q^{17}-q^{25}-10q^{29}+\cdots\)
|
2304.2.a.o |
\(1\) |
\(18.398\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(2\) |
\(-\) |
\(q+2q^{5}+2q^{7}-4q^{13}+2q^{17}+4q^{19}+\cdots\)
|
2304.2.a.p |
\(1\) |
\(18.398\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
\(-\) |
\(q+4q^{5}-4q^{13}+2q^{17}+11q^{25}+\cdots\)
|
2304.2.a.q |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{2}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
\(+\) |
\(q+\beta q^{5}-2q^{7}-2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
|
2304.2.a.r |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+\beta q^{5}-\beta q^{7}-4q^{11}+2\beta q^{13}+2q^{17}+\cdots\)
|
2304.2.a.s |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q+\beta q^{5}-\beta q^{7}-6q^{17}-4q^{19}-2\beta q^{23}+\cdots\)
|
2304.2.a.t |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{2}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q+\beta q^{11}-6q^{17}-3\beta q^{19}-5q^{25}+\cdots\)
|
2304.2.a.u |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+\beta q^{5}+\beta q^{7}-6q^{17}+4q^{19}+2\beta q^{23}+\cdots\)
|
2304.2.a.v |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q+\beta q^{7}-2\beta q^{13}-8q^{19}-5q^{25}+\cdots\)
|
2304.2.a.w |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q-\beta q^{7}-2\beta q^{13}+8q^{19}-5q^{25}+\cdots\)
|
2304.2.a.x |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+\beta q^{5}+\beta q^{7}+4q^{11}+2\beta q^{13}+2q^{17}+\cdots\)
|
2304.2.a.y |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{2}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
\(-\) |
\(q+\beta q^{5}+2q^{7}+2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
|
2304.2.a.z |
\(4\) |
\(18.398\) |
\(\Q(\zeta_{24})^+\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(-\) |
\(q+\beta _{2}q^{5}+\beta _{1}q^{7}+\beta _{3}q^{11}+7q^{25}+\cdots\)
|
2304.2.c.a |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{5}-2\beta q^{7}-4q^{11}-2q^{13}+\beta q^{17}+\cdots\)
|
2304.2.c.b |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{5}-2\beta q^{7}-4q^{11}+2q^{13}-\beta q^{17}+\cdots\)
|
2304.2.c.c |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+3\beta q^{5}-6q^{13}-5\beta q^{17}-13q^{25}+\cdots\)
|
2304.2.c.d |
\(2\) |
\(18.398\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{5}-6q^{13}-3\beta q^{17}+3q^{25}+\cdots\)
|