| Label |
Level |
Weight |
Char |
Prim |
Char order |
Dim |
Rel. Dim |
$A$ |
Field |
Image |
CM |
RM |
Self-dual |
Inner twists |
Rank* |
Traces |
Coefficient ring index |
Sato-Tate |
$q$-expansion |
| $a_{2}$ |
$a_{3}$ |
$a_{5}$ |
$a_{7}$ |
| 120.1.i.a |
$120$ |
$1$ |
120.i |
120.i |
$2$ |
$2$ |
$2$ |
$0.060$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{10}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\) |
| 168.1.s.a |
$168$ |
$1$ |
168.s |
168.s |
$6$ |
$2$ |
$1$ |
$0.084$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(1\) |
\(-1\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\) |
| 168.1.s.b |
$168$ |
$1$ |
168.s |
168.s |
$6$ |
$2$ |
$1$ |
$0.084$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(-1\) |
\(-1\) |
$1$ |
|
\(q-\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\cdots\) |
| 216.1.h.a |
$216$ |
$1$ |
216.h |
24.h |
$2$ |
$1$ |
$1$ |
$0.108$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
✓ |
$2$ |
$0$ |
\(-1\) |
\(0\) |
\(1\) |
\(-1\) |
$1$ |
|
\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\) |
| 216.1.h.b |
$216$ |
$1$ |
216.h |
24.h |
$2$ |
$1$ |
$1$ |
$0.108$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
✓ |
$2$ |
$0$ |
\(1\) |
\(0\) |
\(-1\) |
\(-1\) |
$1$ |
|
\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\) |
| 264.1.t.a |
$264$ |
$1$ |
264.t |
264.t |
$10$ |
$4$ |
$1$ |
$0.132$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(-2\) |
\(-2\) |
$1$ |
|
\(q+\zeta_{10}^{4}q^{2}+\zeta_{10}^{2}q^{3}-\zeta_{10}^{3}q^{4}+\cdots\) |
| 264.1.t.b |
$264$ |
$1$ |
264.t |
264.t |
$10$ |
$4$ |
$1$ |
$0.132$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(2\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{10}^{4}q^{2}-\zeta_{10}^{2}q^{3}-\zeta_{10}^{3}q^{4}+\cdots\) |
| 360.1.u.a |
$360$ |
$1$ |
360.u |
40.i |
$4$ |
$4$ |
$2$ |
$0.180$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
$1$ |
|
\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+(-1+\cdots)q^{7}+\cdots\) |
| 384.1.h.a |
$384$ |
$1$ |
384.h |
24.h |
$2$ |
$1$ |
$1$ |
$0.192$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{3}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{3}+q^{9}+2q^{11}-q^{25}-q^{27}+\cdots\) |
| 384.1.h.b |
$384$ |
$1$ |
384.h |
24.h |
$2$ |
$1$ |
$1$ |
$0.192$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{3}) \) |
✓ |
$4$ |
$0$ |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{3}+q^{9}-2q^{11}-q^{25}+q^{27}+\cdots\) |
| 480.1.i.a |
$480$ |
$1$ |
480.i |
120.i |
$2$ |
$2$ |
$2$ |
$0.240$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{10}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{3}-iq^{5}-q^{9}-q^{15}-q^{25}+\cdots\) |
| 504.1.l.b |
$504$ |
$1$ |
504.l |
56.h |
$2$ |
$2$ |
$2$ |
$0.252$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{42}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
$1$ |
|
\(q-iq^{2}-q^{4}+q^{7}+iq^{8}-iq^{11}+\cdots\) |
| 504.1.bw.a |
$504$ |
$1$ |
504.bw |
56.j |
$6$ |
$4$ |
$2$ |
$0.252$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+(\zeta_{12}+\zeta_{12}^{3}+\cdots)q^{5}+\cdots\) |
| 576.1.b.a |
$576$ |
$1$ |
576.b |
8.d |
$2$ |
$2$ |
$2$ |
$0.287$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{2}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$2$ |
|
\(q-iq^{7}+q^{25}+iq^{31}-3q^{49}-q^{73}+\cdots\) |
| 600.1.n.a |
$600$ |
$1$ |
600.n |
24.h |
$2$ |
$1$ |
$1$ |
$0.299$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{10}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\) |
| 600.1.n.b |
$600$ |
$1$ |
600.n |
24.h |
$2$ |
$1$ |
$1$ |
$0.299$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{10}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(-1\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\) |
| 600.1.z.a |
$600$ |
$1$ |
600.z |
600.z |
$10$ |
$8$ |
$2$ |
$0.299$ |
\(\Q(\zeta_{20})\) |
$D_{10}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{20}q^{2}+\zeta_{20}^{7}q^{3}+\zeta_{20}^{2}q^{4}+\zeta_{20}q^{5}+\cdots\) |
| 600.1.bj.a |
$600$ |
$1$ |
600.bj |
600.aj |
$10$ |
$4$ |
$1$ |
$0.299$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(-1\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{10}q^{2}+\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}-\zeta_{10}q^{5}+\cdots\) |
| 600.1.bj.b |
$600$ |
$1$ |
600.bj |
600.aj |
$10$ |
$4$ |
$1$ |
$0.299$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(1\) |
\(-2\) |
$1$ |
|
\(q+\zeta_{10}q^{2}-\zeta_{10}^{2}q^{3}+\zeta_{10}^{2}q^{4}+\zeta_{10}q^{5}+\cdots\) |
| 648.1.j.a |
$648$ |
$1$ |
648.j |
72.j |
$6$ |
$2$ |
$1$ |
$0.323$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(1\) |
\(1\) |
$1$ |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\cdots\) |
| 648.1.j.b |
$648$ |
$1$ |
648.j |
72.j |
$6$ |
$2$ |
$1$ |
$0.323$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(-1\) |
\(1\) |
$1$ |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\cdots\) |
| 672.1.ba.a |
$672$ |
$1$ |
672.ba |
168.s |
$6$ |
$2$ |
$1$ |
$0.335$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(-1\) |
\(1\) |
$1$ |
|
\(q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\) |
| 672.1.ba.b |
$672$ |
$1$ |
672.ba |
168.s |
$6$ |
$2$ |
$1$ |
$0.335$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(1\) |
\(1\) |
\(1\) |
$1$ |
|
\(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\) |
| 696.1.n.e |
$696$ |
$1$ |
696.n |
696.n |
$2$ |
$2$ |
$2$ |
$0.347$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-87}) \) |
\(\Q(\sqrt{58}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
$1$ |
|
\(q-iq^{2}+iq^{3}-q^{4}+q^{6}-q^{7}+iq^{8}+\cdots\) |
| 696.1.z.a |
$696$ |
$1$ |
696.z |
696.z |
$14$ |
$6$ |
$1$ |
$0.347$ |
\(\Q(\zeta_{14})\) |
$D_{7}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(5\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{14}^{5}q^{2}+\zeta_{14}^{4}q^{3}-\zeta_{14}^{3}q^{4}+\cdots\) |
| 696.1.z.b |
$696$ |
$1$ |
696.z |
696.z |
$14$ |
$6$ |
$1$ |
$0.347$ |
\(\Q(\zeta_{14})\) |
$D_{7}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(-5\) |
\(-2\) |
$1$ |
|
\(q+\zeta_{14}^{5}q^{2}-\zeta_{14}^{4}q^{3}-\zeta_{14}^{3}q^{4}+\cdots\) |
| 696.1.bb.a |
$696$ |
$1$ |
696.bb |
696.ab |
$14$ |
$12$ |
$2$ |
$0.347$ |
\(\Q(\zeta_{28})\) |
$D_{14}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
$1$ |
|
\(q+\zeta_{28}^{11}q^{2}+\zeta_{28}^{13}q^{3}-\zeta_{28}^{8}q^{4}+\cdots\) |
| 744.1.s.a |
$744$ |
$1$ |
744.s |
744.s |
$6$ |
$2$ |
$1$ |
$0.371$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-2\) |
\(1\) |
\(2\) |
\(1\) |
$1$ |
|
\(q-q^{2}+\zeta_{6}q^{3}+q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{6}+\cdots\) |
| 744.1.s.b |
$744$ |
$1$ |
744.s |
744.s |
$6$ |
$2$ |
$1$ |
$0.371$ |
\(\Q(\sqrt{-3}) \) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(2\) |
\(-1\) |
\(-2\) |
\(1\) |
$1$ |
|
\(q+q^{2}-\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{6}+\cdots\) |
| 744.1.bp.a |
$744$ |
$1$ |
744.bp |
744.ap |
$10$ |
$4$ |
$1$ |
$0.371$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(-1\) |
\(-2\) |
\(3\) |
$1$ |
|
\(q-\zeta_{10}q^{2}+\zeta_{10}^{4}q^{3}+\zeta_{10}^{2}q^{4}+(\zeta_{10}^{2}+\cdots)q^{5}+\cdots\) |
| 744.1.bp.b |
$744$ |
$1$ |
744.bp |
744.ap |
$10$ |
$4$ |
$1$ |
$0.371$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(1\) |
\(2\) |
\(3\) |
$1$ |
|
\(q+\zeta_{10}q^{2}-\zeta_{10}^{4}q^{3}+\zeta_{10}^{2}q^{4}+(-\zeta_{10}^{2}+\cdots)q^{5}+\cdots\) |
| 744.1.cd.a |
$744$ |
$1$ |
744.cd |
744.bd |
$30$ |
$8$ |
$1$ |
$0.371$ |
\(\Q(\zeta_{15})\) |
$D_{15}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-2\) |
\(1\) |
\(2\) |
\(-6\) |
$1$ |
|
\(q+\zeta_{30}^{6}q^{2}+\zeta_{30}^{14}q^{3}+\zeta_{30}^{12}q^{4}+\cdots\) |
| 744.1.cd.b |
$744$ |
$1$ |
744.cd |
744.bd |
$30$ |
$8$ |
$1$ |
$0.371$ |
\(\Q(\zeta_{15})\) |
$D_{15}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(2\) |
\(-1\) |
\(-2\) |
\(-6\) |
$1$ |
|
\(q-\zeta_{30}^{6}q^{2}-\zeta_{30}^{14}q^{3}+\zeta_{30}^{12}q^{4}+\cdots\) |
| 768.1.e.c |
$768$ |
$1$ |
768.e |
3.b |
$2$ |
$2$ |
$2$ |
$0.383$ |
\(\Q(\sqrt{-1}) \) |
$D_{2}$ |
\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{3}) \) |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-iq^{3}-q^{9}-iq^{11}+q^{25}+iq^{27}+\cdots\) |
| 792.1.e.a |
$792$ |
$1$ |
792.e |
88.b |
$2$ |
$1$ |
$1$ |
$0.395$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-22}) \) |
\(\Q(\sqrt{33}) \) |
✓ |
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-q^{2}+q^{4}-q^{8}+q^{11}+q^{16}-q^{22}+\cdots\) |
| 792.1.e.b |
$792$ |
$1$ |
792.e |
88.b |
$2$ |
$1$ |
$1$ |
$0.395$ |
\(\Q\) |
$D_{2}$ |
\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-22}) \) |
\(\Q(\sqrt{33}) \) |
✓ |
$4$ |
$0$ |
\(1\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+q^{2}+q^{4}+q^{8}-q^{11}+q^{16}-q^{22}+\cdots\) |
| 792.1.bs.a |
$792$ |
$1$ |
792.bs |
88.p |
$10$ |
$4$ |
$1$ |
$0.395$ |
\(\Q(\zeta_{10})\) |
$D_{10}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+(-\zeta_{10}+\zeta_{10}^{3}+\cdots)q^{5}+\cdots\) |
| 792.1.bs.b |
$792$ |
$1$ |
792.bs |
88.p |
$10$ |
$4$ |
$1$ |
$0.395$ |
\(\Q(\zeta_{10})\) |
$D_{10}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(1\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+(\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{5}+\cdots\) |
| 840.1.bp.a |
$840$ |
$1$ |
840.bp |
840.ap |
$4$ |
$4$ |
$2$ |
$0.419$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
$1$ |
|
\(q-\zeta_{8}^{3}q^{2}+\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}+\cdots\) |
| 840.1.bp.b |
$840$ |
$1$ |
840.bp |
840.ap |
$4$ |
$4$ |
$2$ |
$0.419$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+\cdots\) |
| 840.1.cg.a |
$840$ |
$1$ |
840.cg |
840.bg |
$6$ |
$4$ |
$2$ |
$0.419$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
$1$ |
|
\(q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\cdots\) |
| 840.1.cg.b |
$840$ |
$1$ |
840.cg |
840.bg |
$6$ |
$4$ |
$2$ |
$0.419$ |
\(\Q(\zeta_{12})\) |
$D_{6}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(2\) |
$1$ |
|
\(q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots\) |
| 840.1.dh.a |
$840$ |
$1$ |
840.dh |
840.ch |
$12$ |
$8$ |
$2$ |
$0.419$ |
\(\Q(\zeta_{24})\) |
$D_{12}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
$1$ |
|
\(q-\zeta_{24}^{5}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{10}q^{4}+\cdots\) |
| 840.1.dh.b |
$840$ |
$1$ |
840.dh |
840.ch |
$12$ |
$8$ |
$2$ |
$0.419$ |
\(\Q(\zeta_{24})\) |
$D_{12}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
$1$ |
|
\(q+\zeta_{24}^{5}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{10}q^{4}+\cdots\) |
| 864.1.h.a |
$864$ |
$1$ |
864.h |
24.h |
$2$ |
$1$ |
$1$ |
$0.431$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(-1\) |
\(1\) |
$1$ |
|
\(q-q^{5}+q^{7}+q^{11}+2q^{29}+q^{31}+\cdots\) |
| 864.1.h.b |
$864$ |
$1$ |
864.h |
24.h |
$2$ |
$1$ |
$1$ |
$0.431$ |
\(\Q\) |
$D_{3}$ |
\(\Q(\sqrt{-6}) \) |
None |
✓ |
$2$ |
$0$ |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
$1$ |
|
\(q+q^{5}+q^{7}-q^{11}-2q^{29}+q^{31}+\cdots\) |
| 960.1.u.a |
$960$ |
$1$ |
960.u |
120.q |
$4$ |
$4$ |
$2$ |
$0.479$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
$1$ |
|
\(q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+(-1-\zeta_{8}^{2})q^{7}+\cdots\) |
| 960.1.u.b |
$960$ |
$1$ |
960.u |
120.q |
$4$ |
$4$ |
$2$ |
$0.479$ |
\(\Q(\zeta_{8})\) |
$D_{4}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$8$ |
$0$ |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
$1$ |
|
\(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1+\zeta_{8}^{2})q^{7}+\cdots\) |
| 1056.1.bj.a |
$1056$ |
$1$ |
1056.bj |
264.t |
$10$ |
$4$ |
$1$ |
$0.527$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(-1\) |
\(2\) |
\(2\) |
$1$ |
|
\(q-\zeta_{10}q^{3}+(-\zeta_{10}^{2}-\zeta_{10}^{4})q^{5}+(\zeta_{10}+\cdots)q^{7}+\cdots\) |
| 1056.1.bj.b |
$1056$ |
$1$ |
1056.bj |
264.t |
$10$ |
$4$ |
$1$ |
$0.527$ |
\(\Q(\zeta_{10})\) |
$D_{5}$ |
\(\Q(\sqrt{-6}) \) |
None |
|
$4$ |
$0$ |
\(0\) |
\(1\) |
\(-2\) |
\(2\) |
$1$ |
|
\(q+\zeta_{10}q^{3}+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{5}+(\zeta_{10}+\cdots)q^{7}+\cdots\) |
