2736.1.b.a |
\(4\) |
\(1.365\) |
\(\Q(\zeta_{8})\) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\zeta_{8}+\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
|
2736.1.b.b |
\(8\) |
\(1.365\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{24}^{5}-\zeta_{24}^{7})q^{5}-\zeta_{24}^{6}q^{7}+\cdots\)
|
2736.1.o.a |
\(1\) |
\(1.365\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) |
\(\Q(\sqrt{57}) \) |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
|
\(q+2q^{7}+q^{19}-q^{25}-2q^{43}+3q^{49}+\cdots\)
|
2736.1.o.b |
\(1\) |
\(1.365\) |
\(\Q\) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
|
\(q+q^{5}+q^{7}-q^{11}+q^{17}-q^{19}+2q^{23}+\cdots\)
|
2736.1.o.c |
\(2\) |
\(1.365\) |
\(\Q(\sqrt{3}) \) |
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-\beta q^{5}-q^{7}-\beta q^{11}+\beta q^{17}+q^{19}+\cdots\)
|
2736.1.bk.a |
\(2\) |
\(1.365\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{6}-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{13}-q^{19}+\cdots\)
|
2736.1.bk.b |
\(2\) |
\(1.365\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\zeta_{6}+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{13}+q^{19}+\zeta_{6}q^{25}+\cdots\)
|
2736.1.bs.a |
\(4\) |
\(1.365\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
|
\(q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{2}q^{7}+\cdots\)
|
2736.1.cd.a |
\(2\) |
\(1.365\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-q^{7}+(-1+\zeta_{6}^{2})q^{13}+q^{19}+\zeta_{6}q^{25}+\cdots\)
|
2736.1.fg.a |
\(6\) |
\(1.365\) |
\(\Q(\zeta_{18})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{18}^{7}+\zeta_{18}^{8})q^{7}+(\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{13}+\cdots\)
|
2736.1.ga.a |
\(6\) |
\(1.365\) |
\(\Q(\zeta_{18})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(\zeta_{18}^{7}+\zeta_{18}^{8})q^{7}+(-\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{13}+\cdots\)
|
2736.1.ga.b |
\(6\) |
\(1.365\) |
\(\Q(\zeta_{18})\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\zeta_{18}^{7}-\zeta_{18}^{8})q^{7}+(-\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{13}+\cdots\)
|
2736.2.a.a |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(-4\) |
\(-\) |
\(q-4q^{5}-4q^{7}-4q^{11}-4q^{13}-6q^{17}+\cdots\)
|
2736.2.a.b |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
\(-\) |
\(q-4q^{5}-6q^{11}+2q^{13}-4q^{17}+q^{19}+\cdots\)
|
2736.2.a.c |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-3\) |
\(1\) |
\(+\) |
\(q-3q^{5}+q^{7}+3q^{11}-4q^{13}+3q^{17}+\cdots\)
|
2736.2.a.d |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-2q^{5}-4q^{11}+2q^{13}+6q^{17}+q^{19}+\cdots\)
|
2736.2.a.e |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(+\) |
\(q-2q^{5}+2q^{13}-2q^{17}+q^{19}-q^{25}+\cdots\)
|
2736.2.a.f |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(+\) |
\(q-2q^{5}+2q^{11}-4q^{13}+q^{19}+8q^{23}+\cdots\)
|
2736.2.a.g |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-2q^{5}+2q^{11}+2q^{13}-6q^{17}+q^{19}+\cdots\)
|
2736.2.a.h |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-3\) |
\(-\) |
\(q-q^{5}-3q^{7}-3q^{11}-6q^{13}-3q^{17}+\cdots\)
|
2736.2.a.i |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(3\) |
\(-\) |
\(q-q^{5}+3q^{7}-5q^{11}-2q^{13}+q^{17}+\cdots\)
|
2736.2.a.j |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
\(+\) |
\(q-4q^{7}+4q^{11}+2q^{17}-q^{19}-2q^{23}+\cdots\)
|
2736.2.a.k |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-3\) |
\(-\) |
\(q-3q^{7}+2q^{11}+q^{13}+5q^{17}-q^{19}+\cdots\)
|
2736.2.a.l |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q-2q^{11}-2q^{13}+4q^{17}-q^{19}-2q^{23}+\cdots\)
|
2736.2.a.m |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(+\) |
\(q+2q^{11}-2q^{13}-4q^{17}-q^{19}+2q^{23}+\cdots\)
|
2736.2.a.n |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(1\) |
\(+\) |
\(q+q^{7}-6q^{11}+5q^{13}-3q^{17}-q^{19}+\cdots\)
|
2736.2.a.o |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
\(+\) |
\(q+4q^{7}-4q^{13}-6q^{17}-q^{19}-6q^{23}+\cdots\)
|
2736.2.a.p |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(3\) |
\(+\) |
\(q+q^{5}+3q^{7}-3q^{11}-4q^{13}-5q^{17}+\cdots\)
|
2736.2.a.q |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(3\) |
\(-\) |
\(q+q^{5}+3q^{7}+5q^{11}-4q^{13}+3q^{17}+\cdots\)
|
2736.2.a.r |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(+\) |
\(q+2q^{5}-2q^{11}-4q^{13}+q^{19}-8q^{23}+\cdots\)
|
2736.2.a.s |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(-\) |
\(q+2q^{5}+6q^{13}+6q^{17}+q^{19}+4q^{23}+\cdots\)
|
2736.2.a.t |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(-1\) |
\(+\) |
\(q+3q^{5}-q^{7}-5q^{11}-6q^{13}+5q^{17}+\cdots\)
|
2736.2.a.u |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(3\) |
\(-\) |
\(q+3q^{5}+3q^{7}-q^{11}-2q^{13}+5q^{17}+\cdots\)
|
2736.2.a.v |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(5\) |
\(-\) |
\(q+3q^{5}+5q^{7}+q^{11}+2q^{13}+q^{17}+\cdots\)
|
2736.2.a.w |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(-3\) |
\(-\) |
\(q+4q^{5}-3q^{7}+2q^{11}-q^{13}-3q^{17}+\cdots\)
|
2736.2.a.x |
\(1\) |
\(21.847\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
\(-\) |
\(q+4q^{5}+6q^{11}+2q^{13}+4q^{17}+q^{19}+\cdots\)
|
2736.2.a.y |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{33}) \) |
None |
None |
\(0\) |
\(0\) |
\(-3\) |
\(-1\) |
\(+\) |
\(q+(-1-\beta )q^{5}+(-1+\beta )q^{7}+(-1+\cdots)q^{11}+\cdots\)
|
2736.2.a.z |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{17}) \) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-\beta q^{5}-\beta q^{7}+(4-\beta )q^{11}-2\beta q^{13}+\cdots\)
|
2736.2.a.ba |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{7}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-6\) |
\(+\) |
\(q+\beta q^{5}-3q^{7}-\beta q^{11}+2q^{13}-3\beta q^{17}+\cdots\)
|
2736.2.a.bb |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{41}) \) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(3\) |
\(-\) |
\(q+\beta q^{5}+(2-\beta )q^{7}+(2-\beta )q^{11}+6q^{13}+\cdots\)
|
2736.2.a.bc |
\(3\) |
\(21.847\) |
3.3.892.1 |
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(2\) |
\(-\) |
\(q+(-1+\beta _{1})q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
|
2736.2.a.bd |
\(3\) |
\(21.847\) |
3.3.961.1 |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-4\) |
\(+\) |
\(q-\beta _{1}q^{5}+(-1+\beta _{2})q^{7}+(-2+\beta _{1}+\cdots)q^{11}+\cdots\)
|
2736.2.a.be |
\(3\) |
\(21.847\) |
3.3.892.1 |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(2\) |
\(-\) |
\(q+(1-\beta _{1})q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+(3+\cdots)q^{11}+\cdots\)
|
2736.2.a.bf |
\(4\) |
\(21.847\) |
4.4.13068.1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
\(-\) |
\(q-\beta _{2}q^{5}+(-1-\beta _{1})q^{7}+\beta _{3}q^{11}+\cdots\)
|
2736.2.d.a |
\(12\) |
\(21.847\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\beta _{4}+\beta _{9})q^{5}+(\beta _{1}+\beta _{3}-\beta _{8})q^{7}+\cdots\)
|
2736.2.d.b |
\(24\) |
\(21.847\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
2736.2.f.a |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+\beta q^{5}-2q^{7}-\beta q^{11}+\beta q^{17}+(-1+\cdots)q^{19}+\cdots\)
|
2736.2.f.b |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+\beta q^{5}-2q^{7}-\beta q^{11}+\beta q^{17}+(-1+\cdots)q^{19}+\cdots\)
|
2736.2.f.c |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+\beta q^{5}-2q^{7}+3\beta q^{11}-2\beta q^{13}+\cdots\)
|
2736.2.f.d |
\(2\) |
\(21.847\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+\beta q^{5}-2q^{7}+3\beta q^{11}+2\beta q^{13}+\cdots\)
|