Frank Lübeck

Conjugacy Classes and Character Degrees of E₈(2)

The complex character table of the finite simple Chevalley group E₈(2) is not known. This page contains part of the information. These data are obtained with computer programs using the theory of connected reductive algebraic groups, Deligne-Lusztig theory and Lusztig's classification of characters of finite groups of Lie type. A detailed description of this background is in preparation. We give a description of conjugacy classes and their centralizers, the list of character degrees, and all values of the non-trivial character of minimal degree.

Actually, the information given below was computed generically, that is for all groups of type E₈(q), q an arbitrary prime power, and then specialized for the case q=2.

Conjugacy Classes and Centralizer Orders

The following table lists a parameterization of the conjugacy classes of E₈(2). It is obtained by considering the group as group of fixed points under a Frobenius morphism inside a connected reductive algebraic group G. Each element g in G has a Jordan decomposition g=su=us with s semisimple and u unipotent.

We give the following information: each row stands for a set of classes which have representatives with the same centralizer in G. The column "# classes" tells how many classes are in this set. The column "|C(su)(q)|, q=2" tells the order of the centralizer of elements in these classes. The next two columns describe the centralizer of the semisimple part s of an element in these classes; "type of C(s)" gives the semisimple part of the centralizer of s in G under the restricted Frobenius morphism, and "|Z⁰(C(s))(q)|" gives the number of rational points in the radical of the centralizer of s (generically, as polynomial in q (= 2), the polynomials are factorized into cyclotomic polynomials, phiN means the evaluation of the N-th cyclotomic polynomial at q). Finally, in column "type of u" a label for the class of the unipotent part u is given; we don't give precise explanations of that labeling here.

(Here is a GAP-readable file containing the group order and the sequence of centralizer orders (with multiplicities) as given below.)

There are 1156 conjugacy classes.

	# classes	\|C(su)(q)\|, q=2	type of C(s)	\|Z⁰(C(s))(q)\|	type of u
1	1	2^1203^135^57^411^213^217^21931^2414373127151241*331	E₈(q)	1	-
2	1	2^1203^115^27^311131719314373*127	E₈(q)	1	A₁
3	1	2^1143^85^37^2111317*31	E₈(q)	1	2A₁
4	1	2^1063^75^27^213*17	E₈(q)	1	3A₁
5	1	2^933^65^27^3131731*73	E₈(q)	1	A₂
6	1	2^933^105^27^2111317*19	E₈(q)	1	A₂
7	1	2^1003^55^2717	E₈(q)	1	4A₁
8	1	2^933^457^231	E₈(q)	1	A₂+A₁
9	1	2^933^75711	E₈(q)	1	A₂+A₁
10	1	2^883^55*7	E₈(q)	1	A₂+2A₁
11	1	2^703^65^27111731	E₈(q)	1	A₃
12	1	2^843^47	E₈(q)	1	A₂+3A₁
13	1	2^773^67^2	E₈(q)	1	2A₂
14	1	2^773^35^2713	E₈(q)	1	2A₂
15	1	2^763^47	E₈(q)	1	2A₂+A₁
16	1	2^703^55*7	E₈(q)	1	A₃+A₁
17	1	2^673^65^2*7	E₈(q)	1	D₄(a₁)
18	1	2^673^45717	E₈(q)	1	D₄(a₁)
19	1	2^663^57^2*13	E₈(q)	1	D₄(a₁)
20	1	2^743^25	E₈(q)	1	2A₂+2A₁
21	1	2^533^65^27^213*17	E₈(q)	1	D₄
22	1	2^533^65^27^213*17	E₈(q)	1	D₄
23	1	2^683^35	E₈(q)	1	A₃+2A₁
24	1	2^67*3^4	E₈(q)	1	D₄(a₁)+A₁
25	1	2^673^25	E₈(q)	1	D₄(a₁)+A₁
26	1	2^663^37	E₈(q)	1	D₄(a₁)+A₁
27	1	2^643^35	E₈(q)	1	(A₃+A₂)₂
28	1	2^643^25	E₈(q)	1	A₃+A₂
29	1	2^553^25731	E₈(q)	1	A₄
30	1	2^553^55*11	E₈(q)	1	A₄
31	1	2^62*3^2	E₈(q)	1	A₃+A₂+A₁
32	1	2^6037	E₈(q)	1	D₄(a₁)+A₂
33	1	2^60*3^3	E₈(q)	1	D₄(a₁)+A₂
34	1	2^533^45*7	E₈(q)	1	D₄+A₁
35	1	2^533^45*7	E₈(q)	1	D₄+A₁
36	1	2^543^25	E₈(q)	1	2A₃
37	1	2^5537	E₈(q)	1	A₄+A₁
38	1	2^55*3^4	E₈(q)	1	A₄+A₁
39	1	2^503^25*7	E₈(q)	1	D₅(a₁)
40	1	2^503^45	E₈(q)	1	D₅(a₁)
41	1	2^54*3	E₈(q)	1	A₄+2A₁
42	1	2^54*3^2	E₈(q)	1	A₄+2A₁
43	1	2^493^37	E₈(q)	1	(D₄+A₂)₂
44	1	2^493^37	E₈(q)	1	(D₄+A₂)₂
45	1	2^50*3^2	E₈(q)	1	A₄+A₂
46	1	2^50*3	E₈(q)	1	A₄+A₂+A₁
47	1	2^48*3^2	E₈(q)	1	D₅(a₁)+A₁
48	1	2^423^47	E₈(q)	1	A₅
49	1	2^48*3	E₈(q)	1	D₄+A₂
50	1	2^433^37	E₈(q)	1	(A₅+A₁)''
51	1	2^433^37	E₈(q)	1	(A₅+A₁)''
52	1	2^46*3	E₈(q)	1	A₄+A₃
53	1	2^373^45*7	E₈(q)	1	D₅
54	1	2^373^45*7	E₈(q)	1	D₅
55	1	2^44*3	E₈(q)	1	D₅(a₁)+A₂
56	1	2^42*3^2	E₈(q)	1	(A₅+A₁)'
57	1	2^43*3	E₈(q)	1	A₅+2A₁
58	1	2^43*3	E₈(q)	1	A₅+2A₁
59	1	2^41*3^2	E₈(q)	1	D₆(a₂)
60	1	2^4135	E₈(q)	1	D₆(a₂)
61	1	2^41*3^2	E₈(q)	1	A₅+A₂
62	1	2^41*3	E₈(q)	1	A₅+A₂
63	1	2^40*3^2	E₈(q)	1	A₅+A₂
64	1	2^37*3^2	E₈(q)	1	D₅+A₁
65	1	2^37*3^2	E₈(q)	1	D₅+A₁
66	1	2^4335	E₈(q)	1	2A₄
67	1	2^42*3	E₈(q)	1	2A₄
68	1	2^43	E₈(q)	1	2A₄
69	1	2^41*3	E₈(q)	1	2A₄
70	1	2^41*3	E₈(q)	1	2A₄
71	1	2^42	E₈(q)	1	2A₄
72	1	2^40*5	E₈(q)	1	2A₄
73	1	2^36*3^2	E₈(q)	1	D₆(a₁)
74	1	2^3635	E₈(q)	1	D₆(a₁)
75	1	2^36*3^2	E₈(q)	1	D₆(a₁)
76	1	2^3635	E₈(q)	1	D₆(a₁)
77	1	2^36*3	E₈(q)	1	A₆
78	1	2^36*3^2	E₈(q)	1	A₆
79	1	2^34*3	E₈(q)	1	A₆+A₁
80	1	2^34*3	E₈(q)	1	D₆(a₁)+A₁
81	1	2^35*3	E₈(q)	1	(D₅+A₂)
82	1	2^35*3	E₈(q)	1	(D₅+A₂)
83	1	2^34	E₈(q)	1	D₅+A₂
84	1	2^3037	E₈(q)	1	E₆(a₁)
85	1	2^30*3^3	E₈(q)	1	E₆(a₁)
86	1	2^273^25	E₈(q)	1	D₆
87	1	2^273^25	E₈(q)	1	D₆
88	1	2^32	E₈(q)	1	D₇(a₂)
89	1	2^32*3	E₈(q)	1	D₇(a₂)
90	1	2^253^37	E₈(q)	1	E₆
91	1	2^253^37	E₈(q)	1	E₆
92	1	2^28*3	E₈(q)	1	A₇
93	1	2^30	E₈(q)	1	E₆(a₁)+A₁
94	1	2^30*3	E₈(q)	1	E₆(a₁)+A₁
95	1	2^27*3	E₈(q)	1	D₆+A₁
96	1	2^27*3	E₈(q)	1	D₆+A₁
97	1	2^29*3	E₈(q)	1	D₈(a₃)
98	1	2^29	E₈(q)	1	D₈(a₃)
99	1	2^28*3	E₈(q)	1	D₈(a₃)
100	1	2^27*3	E₈(q)	1	(D₇(a₁))₂
101	1	2^27*3	E₈(q)	1	(D₇(a₁))₂
102	1	2^26	E₈(q)	1	D₇(a₁)
103	1	2^25*3	E₈(q)	1	E₆+A₁
104	1	2^25*3	E₈(q)	1	E₆+A₁
105	1	2^23*3	E₈(q)	1	E₇(a₂)
106	1	2^23*3	E₈(q)	1	E₇(a₂)
107	1	2^25*3	E₈(q)	1	A₈
108	1	2^25	E₈(q)	1	A₈
109	1	2^24*3	E₈(q)	1	A₈
110	1	2^24*3	E₈(q)	1	E₇(a₂)+A₁
111	1	2^24*3	E₈(q)	1	E₇(a₂)+A₁
112	1	2^24	E₈(q)	1	E₇(a₂)+A₁
113	1	2^24	E₈(q)	1	E₇(a₂)+A₁
114	1	2^23*3	E₈(q)	1	E₇(a₂)+A₁
115	1	2^23*3	E₈(q)	1	E₇(a₂)+A₁
116	1	2^21*3	E₈(q)	1	D₇
117	1	2^21*3	E₈(q)	1	D₇
118	1	2^23	E₈(q)	1	D₈(a₁)
119	1	2^22	E₈(q)	1	D₈(a₁)
120	1	2^22	E₈(q)	1	D₈(a₁)
121	1	2^22	E₈(q)	1	D₈(a₁)
122	1	2^23	E₈(q)	1	D₈(a₁)
123	1	2^19*3	E₈(q)	1	E₇(a₁)
124	1	2^19*3	E₈(q)	1	E₇(a₁)
125	1	2^19	E₈(q)	1	E₇(a₁)+A₁
126	1	2^19	E₈(q)	1	E₇(a₁)+A₁
127	1	2^17	E₈(q)	1	D₈
128	1	2^17	E₈(q)	1	D₈
129	1	2^16*3	E₈(q)	1	E₇
130	1	2^16*3	E₈(q)	1	E₇
131	1	2^16*3	E₈(q)	1	E₇
132	1	2^16*3	E₈(q)	1	E₇
133	1	2^16	E₈(q)	1	E₇+A₁
134	1	2^16	E₈(q)	1	E₇+A₁
135	1	2^16	E₈(q)	1	E₇+A₁
136	1	2^16	E₈(q)	1	E₇+A₁
137	1	2^13	E₈(q)	1	E₈(a₂)
138	1	2^13	E₈(q)	1	E₈(a₂)
139	1	2^12	E₈(q)	1	E₈(a₁)
140	1	2^12	E₈(q)	1	E₈(a₁)
141	1	2^12	E₈(q)	1	E₈(a₁)
142	1	2^12	E₈(q)	1	E₈(a₁)
143	1	2^10	E₈(q)	1	E₈
144	1	2^10	E₈(q)	1	E₈
145	1	2^10	E₈(q)	1	E₈
146	1	2^10	E₈(q)	1	E₈
147	1	2^393^135^27^2111317*19	²E₆(q) + ²A₂(q)	1	[ " ", [ 1, 1, 1 ] ]
148	1	2^393^115^27^2111317*19	²E₆(q) + ²A₂(q)	1	[ " ", [ 2, 1 ] ]
149	1	2^383^105^27^2111317*19	²E₆(q) + ²A₂(q)	1	[ " ", [ 3 ] ]
150	1	2^393^105711	²E₆(q) + ²A₂(q)	1	[ "A_1", [ 1, 1, 1 ] ]
151	1	2^393^85711	²E₆(q) + ²A₂(q)	1	[ "A_1", [ 2, 1 ] ]
152	1	2^383^75711	²E₆(q) + ²A₂(q)	1	[ "A_1", [ 3 ] ]
153	1	2^363^85*7	²E₆(q) + ²A₂(q)	1	[ "2A_1", [ 1, 1, 1 ] ]
154	1	2^363^65*7	²E₆(q) + ²A₂(q)	1	[ "2A_1", [ 2, 1 ] ]
155	1	2^353^55*7	²E₆(q) + ²A₂(q)	1	[ "2A_1", [ 3 ] ]
156	1	2^34*3^7	²E₆(q) + ²A₂(q)	1	[ "3A_1", [ 1, 1, 1 ] ]
157	1	2^34*3^5	²E₆(q) + ²A₂(q)	1	[ "3A_1", [ 2, 1 ] ]
158	1	2^33*3^4	²E₆(q) + ²A₂(q)	1	[ "3A_1", [ 3 ] ]
159	1	2^30*3^9	²E₆(q) + ²A₂(q)	1	[ "A_2", [ 1, 1, 1 ] ]
160	1	2^303^65*7	²E₆(q) + ²A₂(q)	1	[ "A_2", [ 1, 1, 1 ] ]
161	1	2^30*3^7	²E₆(q) + ²A₂(q)	1	[ "A_2", [ 2, 1 ] ]
162	1	2^303^45*7	²E₆(q) + ²A₂(q)	1	[ "A_2", [ 2, 1 ] ]
163	1	2^29*3^6	²E₆(q) + ²A₂(q)	1	[ "A_2", [ 3 ] ]
164	1	2^293^35*7	²E₆(q) + ²A₂(q)	1	[ "A_2", [ 3 ] ]
165	1	2^29*3^7	²E₆(q) + ²A₂(q)	1	[ "A_2+A_1", [ 1, 1, 1 ] ]
166	1	2^29*3^5	²E₆(q) + ²A₂(q)	1	[ "A_2+A_1", [ 2, 1 ] ]
167	1	2^28*3^4	²E₆(q) + ²A₂(q)	1	[ "A_2+A_1", [ 3 ] ]
168	1	2^253^67	²E₆(q) + ²A₂(q)	1	[ "2A_2", [ 1, 1, 1 ] ]
169	1	2^253^47	²E₆(q) + ²A₂(q)	1	[ "2A_2", [ 2, 1 ] ]
170	1	2^243^47	²E₆(q) + ²A₂(q)	1	[ "2A_2", [ 3 ] ]
171	1	2^243^47	²E₆(q) + ²A₂(q)	1	[ "2A_2", [ 3 ] ]
172	1	2^243^47	²E₆(q) + ²A₂(q)	1	[ "2A_2", [ 3 ] ]
173	1	2^28*3^5	²E₆(q) + ²A₂(q)	1	[ "A_2+2A_1", [ 1, 1, 1 ] ]
174	1	2^28*3^3	²E₆(q) + ²A₂(q)	1	[ "A_2+2A_1", [ 2, 1 ] ]
175	1	2^27*3^2	²E₆(q) + ²A₂(q)	1	[ "A_2+2A_1", [ 3 ] ]
176	1	2^223^65	²E₆(q) + ²A₂(q)	1	[ "A_3", [ 1, 1, 1 ] ]
177	1	2^223^45	²E₆(q) + ²A₂(q)	1	[ "A_3", [ 2, 1 ] ]
178	1	2^213^35	²E₆(q) + ²A₂(q)	1	[ "A_3", [ 3 ] ]
179	1	2^25*3^4	²E₆(q) + ²A₂(q)	1	[ "2A_2+A_1", [ 1, 1, 1 ] ]
180	1	2^25*3^2	²E₆(q) + ²A₂(q)	1	[ "2A_2+A_1", [ 2, 1 ] ]
181	1	2^24*3^2	²E₆(q) + ²A₂(q)	1	[ "2A_2+A_1", [ 3 ] ]
182	1	2^24*3^2	²E₆(q) + ²A₂(q)	1	[ "2A_2+A_1", [ 3 ] ]
183	1	2^24*3^2	²E₆(q) + ²A₂(q)	1	[ "2A_2+A_1", [ 3 ] ]
184	1	2^22*3^5	²E₆(q) + ²A₂(q)	1	[ "A_3+A_1", [ 1, 1, 1 ] ]
185	1	2^22*3^3	²E₆(q) + ²A₂(q)	1	[ "A_3+A_1", [ 2, 1 ] ]
186	1	2^21*3^2	²E₆(q) + ²A₂(q)	1	[ "A_3+A_1", [ 3 ] ]
187	1	2^22*3^6	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 1, 1, 1 ] ]
188	1	2^22*3^4	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 1, 1, 1 ] ]
189	1	2^21*3^5	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 1, 1, 1 ] ]
190	1	2^22*3^4	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 2, 1 ] ]
191	1	2^22*3^2	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 2, 1 ] ]
192	1	2^21*3^3	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 2, 1 ] ]
193	1	2^21*3^3	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 3 ] ]
194	1	2^21*3	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 3 ] ]
195	1	2^20*3^2	²E₆(q) + ²A₂(q)	1	[ "D_4(a_1)", [ 3 ] ]
196	1	2^18*3^5	²E₆(q) + ²A₂(q)	1	[ "A_4", [ 1, 1, 1 ] ]
197	1	2^18*3^3	²E₆(q) + ²A₂(q)	1	[ "A_4", [ 2, 1 ] ]
198	1	2^17*3^2	²E₆(q) + ²A₂(q)	1	[ "A_4", [ 3 ] ]
199	1	2^17*3^6	²E₆(q) + ²A₂(q)	1	[ "D_4", [ 1, 1, 1 ] ]
200	1	2^17*3^6	²E₆(q) + ²A₂(q)	1	[ "D_4", [ 1, 1, 1 ] ]
201	1	2^17*3^4	²E₆(q) + ²A₂(q)	1	[ "D_4", [ 2, 1 ] ]
202	1	2^17*3^4	²E₆(q) + ²A₂(q)	1	[ "D_4", [ 2, 1 ] ]
203	1	2^16*3^3	²E₆(q) + ²A₂(q)	1	[ "D_4", [ 3 ] ]
204	1	2^16*3^3	²E₆(q) + ²A₂(q)	1	[ "D_4", [ 3 ] ]
205	1	2^18*3^4	²E₆(q) + ²A₂(q)	1	[ "A_4+A_1", [ 1, 1, 1 ] ]
206	1	2^18*3^2	²E₆(q) + ²A₂(q)	1	[ "A_4+A_1", [ 2, 1 ] ]
207	1	2^17*3	²E₆(q) + ²A₂(q)	1	[ "A_4+A_1", [ 3 ] ]
208	1	2^16*3^4	²E₆(q) + ²A₂(q)	1	[ "D_5(a_1)", [ 1, 1, 1 ] ]
209	1	2^16*3^2	²E₆(q) + ²A₂(q)	1	[ "D_5(a_1)", [ 2, 1 ] ]
210	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "D_5(a_1)", [ 3 ] ]
211	1	2^15*3^4	²E₆(q) + ²A₂(q)	1	[ "A_5", [ 1, 1, 1 ] ]
212	1	2^15*3^2	²E₆(q) + ²A₂(q)	1	[ "A_5", [ 2, 1 ] ]
213	1	2^14*3^2	²E₆(q) + ²A₂(q)	1	[ "A_5", [ 3 ] ]
214	1	2^14*3^2	²E₆(q) + ²A₂(q)	1	[ "A_5", [ 3 ] ]
215	1	2^14*3^2	²E₆(q) + ²A₂(q)	1	[ "A_5", [ 3 ] ]
216	1	2^16*3^3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 1, 1, 1 ] ]
217	1	2^16*3^3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 1, 1, 1 ] ]
218	1	2^16*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 2, 1 ] ]
219	1	2^16*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 2, 1 ] ]
220	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 3 ] ]
221	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 3 ] ]
222	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 3 ] ]
223	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 3 ] ]
224	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 3 ] ]
225	1	2^15*3	²E₆(q) + ²A₂(q)	1	[ "A_5+A_1", [ 3 ] ]
226	1	2^13*3^4	²E₆(q) + ²A₂(q)	1	[ "D_5", [ 1, 1, 1 ] ]
227	1	2^13*3^4	²E₆(q) + ²A₂(q)	1	[ "D_5", [ 1, 1, 1 ] ]
228	1	2^13*3^2	²E₆(q) + ²A₂(q)	1	[ "D_5", [ 2, 1 ] ]
229	1	2^13*3^2	²E₆(q) + ²A₂(q)	1	[ "D_5", [ 2, 1 ] ]
230	1	2^12*3	²E₆(q) + ²A₂(q)	1	[ "D_5", [ 3 ] ]
231	1	2^12*3	²E₆(q) + ²A₂(q)	1	[ "D_5", [ 3 ] ]
232	1	2^11*3^3	²E₆(q) + ²A₂(q)	1	[ "E_6(a_1)", [ 1, 1, 1 ] ]
233	1	2^11*3	²E₆(q) + ²A₂(q)	1	[ "E_6(a_1)", [ 2, 1 ] ]
234	1	2^10*3	²E₆(q) + ²A₂(q)	1	[ "E_6(a_1)", [ 3 ] ]
235	1	2^10*3	²E₆(q) + ²A₂(q)	1	[ "E_6(a_1)", [ 3 ] ]
236	1	2^10*3	²E₆(q) + ²A₂(q)	1	[ "E_6(a_1)", [ 3 ] ]
237	1	2^10*3^3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 1, 1, 1 ] ]
238	1	2^10*3^3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 1, 1, 1 ] ]
239	1	2^10*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 2, 1 ] ]
240	1	2^10*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 2, 1 ] ]
241	1	2^9*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 3 ] ]
242	1	2^9*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 3 ] ]
243	1	2^9*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 3 ] ]
244	1	2^9*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 3 ] ]
245	1	2^9*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 3 ] ]
246	1	2^9*3	²E₆(q) + ²A₂(q)	1	[ "E_6", [ 3 ] ]
247	1	2^203^25^51317*41	²A₄(q²)	1	[ 1, 1, 1, 1, 1 ]
248	1	2^2035^3*13	²A₄(q²)	1	[ 2, 1, 1, 1 ]
249	1	2^1835^2	²A₄(q²)	1	[ 2, 2, 1 ]
250	1	2^1435^2	²A₄(q²)	1	[ 3, 1, 1 ]
251	1	2^14*5	²A₄(q²)	1	[ 3, 2 ]
252	1	2^10*5	²A₄(q²)	1	[ 4, 1 ]
253	1	2^8*5	²A₄(q²)	1	[ 5 ]
254	1	2^8*5	²A₄(q²)	1	[ 5 ]
255	1	2^8*5	²A₄(q²)	1	[ 5 ]
256	1	2^8*5	²A₄(q²)	1	[ 5 ]
257	1	2^8*5	²A₄(q²)	1	[ 5 ]
258	1	2^363^125^27111719*43	²A₈(q)	1	[ 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
259	1	2^363^95711*43	²A₈(q)	1	[ 2, 1, 1, 1, 1, 1, 1, 1 ]
260	1	2^353^75*11	²A₈(q)	1	[ 2, 2, 1, 1, 1, 1, 1 ]
261	1	2^293^85711	²A₈(q)	1	[ 3, 1, 1, 1, 1, 1, 1 ]
262	1	2^33*3^7	²A₈(q)	1	[ 2, 2, 2, 1, 1, 1 ]
263	1	2^303^55	²A₈(q)	1	[ 2, 2, 2, 2, 1 ]
264	1	2^293^65	²A₈(q)	1	[ 3, 2, 1, 1, 1, 1 ]
265	1	2^233^65*11	²A₈(q)	1	[ 4, 1, 1, 1, 1, 1 ]
266	1	2^28*3^4	²A₈(q)	1	[ 3, 2, 2, 1, 1 ]
267	1	2^26*3^4	²A₈(q)	1	[ 3, 2, 2, 2 ]
268	1	2^24*3^5	²A₈(q)	1	[ 3, 3, 1, 1, 1 ]
269	1	2^23*3^5	²A₈(q)	1	[ 4, 2, 1, 1, 1 ]
270	1	2^24*3^3	²A₈(q)	1	[ 3, 3, 2, 1 ]
271	1	2^183^55	²A₈(q)	1	[ 5, 1, 1, 1, 1 ]
272	1	2^21*3^4	²A₈(q)	1	[ 3, 3, 3 ]
273	1	2^21*3^4	²A₈(q)	1	[ 3, 3, 3 ]
274	1	2^21*3^4	²A₈(q)	1	[ 3, 3, 3 ]
275	1	2^22*3^3	²A₈(q)	1	[ 4, 2, 2, 1 ]
276	1	2^20*3^3	²A₈(q)	1	[ 4, 3, 1, 1 ]
277	1	2^20*3^2	²A₈(q)	1	[ 4, 3, 2 ]
278	1	2^18*3^3	²A₈(q)	1	[ 5, 2, 1, 1 ]
279	1	2^17*3^2	²A₈(q)	1	[ 4, 4, 1 ]
280	1	2^17*3^2	²A₈(q)	1	[ 5, 2, 2 ]
281	1	2^14*3^4	²A₈(q)	1	[ 6, 1, 1, 1 ]
282	1	2^16*3^2	²A₈(q)	1	[ 5, 3, 1 ]
283	1	2^15*3	²A₈(q)	1	[ 5, 4 ]
284	1	2^14*3^2	²A₈(q)	1	[ 6, 2, 1 ]
285	1	2^13*3^2	²A₈(q)	1	[ 6, 3 ]
286	1	2^13*3^2	²A₈(q)	1	[ 6, 3 ]
287	1	2^13*3^2	²A₈(q)	1	[ 6, 3 ]
288	1	2^11*3^2	²A₈(q)	1	[ 7, 1, 1 ]
289	1	2^11*3	²A₈(q)	1	[ 7, 2 ]
290	1	2^9*3	²A₈(q)	1	[ 8, 1 ]
291	1	2^8*3	²A₈(q)	1	[ 9 ]
292	1	2^8*3	²A₈(q)	1	[ 9 ]
293	1	2^8*3	²A₈(q)	1	[ 9 ]
294	1	2^633^125^27^311131719314373*127	E₇(q)	phi2	-
295	1	2^633^95^27^2111731	E₇(q)	phi2	A₁
296	1	2^593^75^2717	E₇(q)	phi2	2A₁
297	1	2^513^75^27^213*17	E₇(q)	phi2	3A₁''
298	1	2^553^65*7	E₇(q)	phi2	3A₁'
299	1	2^483^557^231	E₇(q)	phi2	A₂
300	1	2^483^85711	E₇(q)	phi2	A₂
301	1	2^513^55*7	E₇(q)	phi2	4A₁
302	1	2^483^35*7	E₇(q)	phi2	A₂+A₁
303	1	2^483^65	E₇(q)	phi2	A₂+A₁
304	1	2^45*3^4	E₇(q)	phi2	A₂+2A₁
305	1	2^413^47	E₇(q)	phi2	A₂+3A₁
306	1	2^393^57	E₇(q)	phi2	2A₂
307	1	2^353^65*7	E₇(q)	phi2	A₃
308	1	2^353^55*7	E₇(q)	phi2	(A₃+A₁)''
309	1	2^39*3^3	E₇(q)	phi2	2A₂+A₁
310	1	2^35*3^4	E₇(q)	phi2	(A₃+A₁)'
311	1	2^34*3^5	E₇(q)	phi2	D₄(a₁)
312	1	2^343^35	E₇(q)	phi2	D₄(a₁)
313	1	2^333^47	E₇(q)	phi2	D₄(a₁)
314	1	2^35*3^3	E₇(q)	phi2	A₃+2A₁
315	1	2^34*3^3	E₇(q)	phi2	D₄(a₁)+A₁
316	1	2^343^25	E₇(q)	phi2	D₄(a₁)+A₁
317	1	2^263^55*7	E₇(q)	phi2	D₄
318	1	2^263^55*7	E₇(q)	phi2	D₄
319	1	2^33*3^3	E₇(q)	phi2	(A₃+A₂)₂
320	1	2^33*3^2	E₇(q)	phi2	A₃+A₂
321	1	2^31*3^2	E₇(q)	phi2	A₃+A₂+A₁
322	1	2^283^27	E₇(q)	phi2	A₄
323	1	2^28*3^5	E₇(q)	phi2	A₄
324	1	2^263^35	E₇(q)	phi2	D₄+A₁
325	1	2^263^35	E₇(q)	phi2	D₄+A₁
326	1	2^233^47	E₇(q)	phi2	A₅''
327	1	2^28*3	E₇(q)	phi2	A₄+A₁
328	1	2^28*3^3	E₇(q)	phi2	A₄+A₁
329	1	2^25*3^2	E₇(q)	phi2	A₄+A₂
330	1	2^25*3^2	E₇(q)	phi2	D₅(a₁)
331	1	2^25*3^3	E₇(q)	phi2	D₅(a₁)
332	1	2^23*3^2	E₇(q)	phi2	D₅(a₁)+A₁
333	1	2^21*3^3	E₇(q)	phi2	A₅'
334	1	2^23*3^2	E₇(q)	phi2	(A₅+A₁)''
335	1	2^21*3^2	E₇(q)	phi2	D₆(a₂)
336	1	2^22*3^2	E₇(q)	phi2	(A₅+A₁)'
337	1	2^22*3^2	E₇(q)	phi2	(A₅+A₁)'
338	1	2^18*3^3	E₇(q)	phi2	D₅
339	1	2^18*3^3	E₇(q)	phi2	D₅
340	1	2^22*3^2	E₇(q)	phi2	D₆(a₂)+A₁
341	1	2^22*3	E₇(q)	phi2	D₆(a₂)+A₁
342	1	2^21*3^2	E₇(q)	phi2	D₆(a₂)+A₁
343	1	2^18*3^2	E₇(q)	phi2	D₅+A₁
344	1	2^18*3^2	E₇(q)	phi2	D₅+A₁
345	1	2^18*3^2	E₇(q)	phi2	D₆(a₁)
346	1	2^18*3^2	E₇(q)	phi2	D₆(a₁)
347	1	2^19*3	E₇(q)	phi2	A₆
348	1	2^19*3^2	E₇(q)	phi2	A₆
349	1	2^17*3	E₇(q)	phi2	D₆(a₁)+A₁
350	1	2^14*3^2	E₇(q)	phi2	D₆
351	1	2^14*3^2	E₇(q)	phi2	D₆
352	1	2^15*3	E₇(q)	phi2	E₆(a₁)
353	1	2^15*3^2	E₇(q)	phi2	E₆(a₁)
354	1	2^12*3^2	E₇(q)	phi2	E₆
355	1	2^12*3^2	E₇(q)	phi2	E₆
356	1	2^14*3	E₇(q)	phi2	D₆+A₁
357	1	2^14*3	E₇(q)	phi2	D₆+A₁
358	1	2^12*3	E₇(q)	phi2	E₇(a₂)
359	1	2^12*3	E₇(q)	phi2	E₇(a₂)
360	1	2^10*3	E₇(q)	phi2	E₇(a₁)
361	1	2^10*3	E₇(q)	phi2	E₇(a₁)
362	1	2^9*3	E₇(q)	phi2	E₇
363	1	2^9*3	E₇(q)	phi2	E₇
364	1	2^9*3	E₇(q)	phi2	E₇
365	1	2^9*3	E₇(q)	phi2	E₇
366	1	2^103^77*19	²A₂(q³) + A₁(q)	phi2	[ [ 1, 1, 1 ], [ 1, 1 ] ]
367	1	2^103^67*19	²A₂(q³) + A₁(q)	phi2	[ [ 1, 1, 1 ], [ 2 ] ]
368	1	2^10*3^4	²A₂(q³) + A₁(q)	phi2	[ [ 2, 1 ], [ 1, 1 ] ]
369	1	2^10*3^3	²A₂(q³) + A₁(q)	phi2	[ [ 2, 1 ], [ 2 ] ]
370	1	2^7*3^3	²A₂(q³) + A₁(q)	phi2	[ [ 3 ], [ 1, 1 ] ]
371	1	2^7*3^3	²A₂(q³) + A₁(q)	phi2	[ [ 3 ], [ 1, 1 ] ]
372	1	2^7*3^3	²A₂(q³) + A₁(q)	phi2	[ [ 3 ], [ 1, 1 ] ]
373	1	2^7*3^2	²A₂(q³) + A₁(q)	phi2	[ [ 3 ], [ 2 ] ]
374	1	2^7*3^2	²A₂(q³) + A₁(q)	phi2	[ [ 3 ], [ 2 ] ]
375	1	2^7*3^2	²A₂(q³) + A₁(q)	phi2	[ [ 3 ], [ 2 ] ]
376	1	2^423^105^37^21113173143	²D₇(q)	phi2	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
377	1	2^423^85^2711*17	²D₇(q)	phi2	[ [ 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, 0 ] ]
378	1	2^373^75^27111731	²D₇(q)	phi2	[ [ 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, 1 ] ]
379	1	2^403^75^2	²D₇(q)	phi2	[ [ 2, 2, 2, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 0 ] ]
380	1	2^373^65*7	²D₇(q)	phi2	[ [ 2, 2, 2, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 1 ] ]
381	1	2^363^65*7	²D₇(q)	phi2	[ [ 2, 2, 2, 2, 2, 2, 1, 1 ], [ -1, 0 ] ]
382	1	2^333^75^2*7	²D₇(q)	phi2	[ [ 3, 3, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
383	1	2^333^55717	²D₇(q)	phi2	[ [ 3, 3, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
384	1	2^273^65^2717	²D₇(q)	phi2	[ [ 4, 2, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, 1, -1, 1 ] ]
385	1	2^353^45	²D₇(q)	phi2	[ [ 2, 2, 2, 2, 2, 2, 1, 1 ], [ -1, 1 ] ]
386	1	2^33*3^5	²D₇(q)	phi2	[ [ 3, 3, 2, 2, 1, 1, 1, 1 ], [ -1, 0, -1 ] ]
387	1	2^333^35	²D₇(q)	phi2	[ [ 3, 3, 2, 2, 1, 1, 1, 1 ], [ -1, 0, -1 ] ]
388	1	2^293^45	²D₇(q)	phi2	[ [ 3, 3, 2, 2, 1, 1, 1, 1 ], [ -1, 1, -1 ] ]
389	1	2^303^45	²D₇(q)	phi2	[ [ 3, 3, 2, 2, 2, 2 ], [ -1, 0, -1 ] ]
390	1	2^273^45	²D₇(q)	phi2	[ [ 4, 2, 2, 2, 1, 1, 1, 1 ], [ -1, 1, -1, 1 ] ]
391	1	2^243^65	²D₇(q)	phi2	[ [ 4, 4, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1, 0 ] ]
392	1	2^29*3^3	²D₇(q)	phi2	[ [ 3, 3, 2, 2, 2, 2 ], [ -1, 1, -1 ] ]
393	1	2^253^35*7	²D₇(q)	phi2	[ [ 4, 4, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1, 1 ] ]
394	1	2^253^55	²D₇(q)	phi2	[ [ 4, 4, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1, 1 ] ]
395	1	2^273^25	²D₇(q)	phi2	[ [ 3, 3, 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
396	1	2^27*3^4	²D₇(q)	phi2	[ [ 3, 3, 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
397	1	2^253^35	²D₇(q)	phi2	[ [ 4, 2, 2, 2, 2, 2 ], [ -1, 1, -1, 1 ] ]
398	1	2^203^55*7	²D₇(q)	phi2	[ [ 6, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
399	1	2^203^55*7	²D₇(q)	phi2	[ [ 6, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
400	1	2^24*3^4	²D₇(q)	phi2	[ [ 4, 4, 2, 2, 1, 1 ], [ -1, 0, -1, 0 ] ]
401	1	2^23*3^3	²D₇(q)	phi2	[ [ 4, 3, 3, 2, 1, 1 ], [ -1, 1, -1, 1 ] ]
402	1	2^25*3^2	²D₇(q)	phi2	[ [ 4, 4, 2, 2, 1, 1 ], [ -1, 0, -1, 1 ] ]
403	1	2^25*3^3	²D₇(q)	phi2	[ [ 4, 4, 2, 2, 1, 1 ], [ -1, 0, -1, 1 ] ]
404	1	2^23*3^3	²D₇(q)	phi2	[ [ 4, 4, 2, 2, 1, 1 ], [ -1, 1, -1, 0 ] ]
405	1	2^23*3^2	²D₇(q)	phi2	[ [ 4, 4, 2, 2, 1, 1 ], [ -1, 1, -1, 1 ] ]
406	1	2^22*3^3	²D₇(q)	phi2	[ [ 4, 4, 3, 3 ], [ -1, -1, -1, 0 ] ]
407	1	2^21*3^2	²D₇(q)	phi2	[ [ 4, 4, 3, 3 ], [ -1, -1, -1, 1 ] ]
408	1	2^19*3^4	²D₇(q)	phi2	[ [ 5, 5, 1, 1, 1, 1 ], [ -1, -1, -1, -1, -1 ] ]
409	1	2^193^25	²D₇(q)	phi2	[ [ 5, 5, 1, 1, 1, 1 ], [ -1, -1, -1, -1, -1 ] ]
410	1	2^20*3^3	²D₇(q)	phi2	[ [ 6, 2, 2, 2, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
411	1	2^20*3^3	²D₇(q)	phi2	[ [ 6, 2, 2, 2, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
412	1	2^19*3^2	²D₇(q)	phi2	[ [ 4, 4, 4, 2 ], [ -1, 1, -1, 1 ] ]
413	1	2^18*3^3	²D₇(q)	phi2	[ [ 5, 5, 2, 2 ], [ -1, 0, -1, -1, -1 ] ]
414	1	2^18*3^3	²D₇(q)	phi2	[ [ 6, 4, 1, 1, 1, 1 ], [ -1, -1, -1, 1, -1, 1 ] ]
415	1	2^183^25	²D₇(q)	phi2	[ [ 6, 4, 1, 1, 1, 1 ], [ -1, -1, -1, 1, -1, 1 ] ]
416	1	2^19*3^2	²D₇(q)	phi2	[ [ 5, 5, 2, 2 ], [ -1, 1, -1, -1, -1 ] ]
417	1	2^19*3	²D₇(q)	phi2	[ [ 5, 5, 2, 2 ], [ -1, 1, -1, -1, -1 ] ]
418	1	2^18*3^2	²D₇(q)	phi2	[ [ 6, 3, 3, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
419	1	2^18*3^2	²D₇(q)	phi2	[ [ 6, 3, 3, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
420	1	2^17*3^2	²D₇(q)	phi2	[ [ 6, 4, 2, 2 ], [ -1, 0, -1, 1, -1, 1 ] ]
421	1	2^143^35	²D₇(q)	phi2	[ [ 8, 2, 1, 1, 1, 1 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
422	1	2^143^35	²D₇(q)	phi2	[ [ 8, 2, 1, 1, 1, 1 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
423	1	2^17*3	²D₇(q)	phi2	[ [ 6, 4, 2, 2 ], [ -1, 1, -1, 1, -1, 1 ] ]
424	1	2^14*3^3	²D₇(q)	phi2	[ [ 6, 6, 1, 1 ], [ -1, -1, -1, -1, -1, 0 ] ]
425	1	2^15*3	²D₇(q)	phi2	[ [ 6, 6, 1, 1 ], [ -1, -1, -1, -1, -1, 1 ] ]
426	1	2^15*3^2	²D₇(q)	phi2	[ [ 6, 6, 1, 1 ], [ -1, -1, -1, -1, -1, 1 ] ]
427	1	2^14*3^2	²D₇(q)	phi2	[ [ 8, 2, 2, 2 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
428	1	2^14*3^2	²D₇(q)	phi2	[ [ 8, 2, 2, 2 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
429	1	2^12*3^2	²D₇(q)	phi2	[ [ 7, 7 ], [ -1, -1, -1, -1, -1, -1, -1 ] ]
430	1	2^14*3	²D₇(q)	phi2	[ [ 8, 4, 1, 1 ], [ -1, -1, -1, 1, -1, -1, -1, 1 ] ]
431	1	2^14*3^2	²D₇(q)	phi2	[ [ 8, 4, 1, 1 ], [ -1, -1, -1, 1, -1, -1, -1, 1 ] ]
432	1	2^14*3^2	²D₇(q)	phi2	[ [ 8, 4, 1, 1 ], [ -1, -1, -1, 1, -1, -1, -1, 1 ] ]
433	1	2^14*3	²D₇(q)	phi2	[ [ 8, 4, 1, 1 ], [ -1, -1, -1, 1, -1, -1, -1, 1 ] ]
434	1	2^11*3	²D₇(q)	phi2	[ [ 8, 6 ], [ -1, -1, -1, -1, -1, 1, -1, 1 ] ]
435	1	2^10*3^2	²D₇(q)	phi2	[ [ 10, 2, 1, 1 ], [ -1, 1, -1, -1, -1, -1, -1, -1, -1, 1 ] ]
436	1	2^10*3^2	²D₇(q)	phi2	[ [ 10, 2, 1, 1 ], [ -1, 1, -1, -1, -1, -1, -1, -1, -1, 1 ] ]
437	1	2^10*3	²D₇(q)	phi2	[ [ 10, 4 ], [ -1, -1, -1, 1, -1, -1, -1, -1, -1, 1 ] ]
438	1	2^10*3	²D₇(q)	phi2	[ [ 10, 4 ], [ -1, -1, -1, 1, -1, -1, -1, -1, -1, 1 ] ]
439	1	2^8*3	²D₇(q)	phi2	[ [ 12, 2 ], [ -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1 ] ]
440	1	2^8*3	²D₇(q)	phi2	[ [ 12, 2 ], [ -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1 ] ]
441	1	2^363^65^27^4131731*73	E₆(q)	phi3	-
442	1	2^363^457^331	E₆(q)	phi3	A₁
443	1	2^333^45*7^2	E₆(q)	phi3	2A₁
444	1	2^313^27^2	E₆(q)	phi3	3A₁
445	1	2^273^27^3	E₆(q)	phi3	A₂
446	1	2^273^35*7^2	E₆(q)	phi3	A₂
447	1	2^2637^2	E₆(q)	phi3	A₂+A₁
448	1	2^223^37^2	E₆(q)	phi3	2A₂
449	1	2^2537	E₆(q)	phi3	A₂+2A₁
450	1	2^193^25*7	E₆(q)	phi3	A₃
451	1	2^2237	E₆(q)	phi3	2A₂+A₁
452	1	2^1937	E₆(q)	phi3	A₃+A₁
453	1	2^1937	E₆(q)	phi3	D₄(a₁)
454	1	2^1937	E₆(q)	phi3	D₄(a₁)
455	1	2^1837^2	E₆(q)	phi3	D₄(a₁)
456	1	2^1537	E₆(q)	phi3	A₄
457	1	2^1437^2	E₆(q)	phi3	D₄
458	1	2^1437^2	E₆(q)	phi3	D₄
459	1	2^15*7	E₆(q)	phi3	A₄+A₁
460	1	2^13*7	E₆(q)	phi3	D₅(a₁)
461	1	2^1237	E₆(q)	phi3	A₅
462	1	2^13*7	E₆(q)	phi3	A₅+A₁
463	1	2^13*7	E₆(q)	phi3	A₅+A₁
464	1	2^10*7	E₆(q)	phi3	D₅
465	1	2^10*7	E₆(q)	phi3	D₅
466	1	2^8*7	E₆(q)	phi3	E₆(a₁)
467	1	2^7*7	E₆(q)	phi3	E₆
468	1	2^7*7	E₆(q)	phi3	E₆
469	1	2^93^65*7^2	²A₂(q) + A₂(q²)	phi3	[ [ 1, 1, 1 ], [ 1, 1, 1 ] ]
470	1	2^93^47	²A₂(q) + A₂(q²)	phi3	[ [ 1, 1, 1 ], [ 2, 1 ] ]
471	1	2^73^37	²A₂(q) + A₂(q²)	phi3	[ [ 1, 1, 1 ], [ 3 ] ]
472	1	2^93^45*7^2	²A₂(q) + A₂(q²)	phi3	[ [ 2, 1 ], [ 1, 1, 1 ] ]
473	1	2^93^27	²A₂(q) + A₂(q²)	phi3	[ [ 2, 1 ], [ 2, 1 ] ]
474	1	2^737	²A₂(q) + A₂(q²)	phi3	[ [ 2, 1 ], [ 3 ] ]
475	1	2^83^35*7^2	²A₂(q) + A₂(q²)	phi3	[ [ 3 ], [ 1, 1, 1 ] ]
476	1	2^837	²A₂(q) + A₂(q²)	phi3	[ [ 3 ], [ 2, 1 ] ]
477	1	2^637	²A₂(q) + A₂(q²)	phi3	[ [ 3 ], [ 3 ] ]
478	1	2^637	²A₂(q) + A₂(q²)	phi3	[ [ 3 ], [ 3 ] ]
479	1	2^637	²A₂(q) + A₂(q²)	phi3	[ [ 3 ], [ 3 ] ]
480	1	2^303^65^47111317*31	²D₆(q)	phi4	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
481	1	2^303^55^2717	²D₆(q)	phi4	[ [ 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, 0 ] ]
482	1	2^263^55^3717	²D₆(q)	phi4	[ [ 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1, 1 ] ]
483	1	2^283^35^3	²D₆(q)	phi4	[ [ 2, 2, 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ]
484	1	2^263^35^2	²D₆(q)	phi4	[ [ 2, 2, 2, 2, 1, 1, 1, 1 ], [ -1, 1 ] ]
485	1	2^233^35^2*7	²D₆(q)	phi4	[ [ 3, 3, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
486	1	2^233^45^2	²D₆(q)	phi4	[ [ 3, 3, 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
487	1	2^243^25^2	²D₆(q)	phi4	[ [ 2, 2, 2, 2, 2, 2 ], [ -1, 1 ] ]
488	1	2^183^45^2*7	²D₆(q)	phi4	[ [ 4, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 1, -1, 1 ] ]
489	1	2^233^25	²D₆(q)	phi4	[ [ 3, 3, 2, 2, 1, 1 ], [ -1, 0, -1 ] ]
490	1	2^233^25	²D₆(q)	phi4	[ [ 3, 3, 2, 2, 1, 1 ], [ -1, 0, -1 ] ]
491	1	2^203^25	²D₆(q)	phi4	[ [ 3, 3, 2, 2, 1, 1 ], [ -1, 1, -1 ] ]
492	1	2^1835^2	²D₆(q)	phi4	[ [ 3, 3, 3, 3 ], [ -1, -1, -1 ] ]
493	1	2^183^25	²D₆(q)	phi4	[ [ 4, 2, 2, 2, 1, 1 ], [ -1, 1, -1, 1 ] ]
494	1	2^163^25^2	²D₆(q)	phi4	[ [ 4, 4, 1, 1, 1, 1 ], [ -1, -1, -1, 0 ] ]
495	1	2^173^25	²D₆(q)	phi4	[ [ 4, 4, 1, 1, 1, 1 ], [ -1, -1, -1, 1 ] ]
496	1	2^1735^2	²D₆(q)	phi4	[ [ 4, 4, 1, 1, 1, 1 ], [ -1, -1, -1, 1 ] ]
497	1	2^1635	²D₆(q)	phi4	[ [ 4, 3, 3, 2 ], [ -1, 1, -1, 1 ] ]
498	1	2^1635	²D₆(q)	phi4	[ [ 4, 4, 2, 2 ], [ -1, 0, -1, 1 ] ]
499	1	2^1635	²D₆(q)	phi4	[ [ 4, 4, 2, 2 ], [ -1, 1, -1, 0 ] ]
500	1	2^133^25^2	²D₆(q)	phi4	[ [ 6, 2, 1, 1, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
501	1	2^133^25^2	²D₆(q)	phi4	[ [ 6, 2, 1, 1, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
502	1	2^16*5	²D₆(q)	phi4	[ [ 4, 4, 2, 2 ], [ -1, 1, -1, 1 ] ]
503	1	2^1335	²D₆(q)	phi4	[ [ 5, 5, 1, 1 ], [ -1, -1, -1, -1, -1 ] ]
504	1	2^1335	²D₆(q)	phi4	[ [ 5, 5, 1, 1 ], [ -1, -1, -1, -1, -1 ] ]
505	1	2^1335	²D₆(q)	phi4	[ [ 6, 2, 2, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
506	1	2^1335	²D₆(q)	phi4	[ [ 6, 2, 2, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
507	1	2^12*5	²D₆(q)	phi4	[ [ 6, 4, 1, 1 ], [ -1, -1, -1, 1, -1, 1 ] ]
508	1	2^1235	²D₆(q)	phi4	[ [ 6, 4, 1, 1 ], [ -1, -1, -1, 1, -1, 1 ] ]
509	1	2^10*5	²D₆(q)	phi4	[ [ 6, 6 ], [ -1, -1, -1, -1, -1, 1 ] ]
510	1	2^935	²D₆(q)	phi4	[ [ 8, 2, 1, 1 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
511	1	2^935	²D₆(q)	phi4	[ [ 8, 2, 1, 1 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
512	1	2^9*5	²D₆(q)	phi4	[ [ 8, 4 ], [ -1, -1, -1, 1, -1, -1, -1, 1 ] ]
513	1	2^9*5	²D₆(q)	phi4	[ [ 8, 4 ], [ -1, -1, -1, 1, -1, -1, -1, 1 ] ]
514	1	2^7*5	²D₆(q)	phi4	[ [ 10, 2 ], [ -1, 1, -1, -1, -1, -1, -1, -1, -1, 1 ] ]
515	1	2^7*5	²D₆(q)	phi4	[ [ 10, 2 ], [ -1, 1, -1, -1, -1, -1, -1, -1, -1, 1 ] ]
516	1	2^153^57^4*13	³D₄(q) + A₂(q)	phi3	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 1, 1, 1 ] ]
517	1	2^153^47^3*13	³D₄(q) + A₂(q)	phi3	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 2, 1 ] ]
518	1	2^143^47^3*13	³D₄(q) + A₂(q)	phi3	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 3 ] ]
519	1	2^153^37^3	³D₄(q) + A₂(q)	phi3	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 1, 1, 1 ] ]
520	1	2^153^27^2	³D₄(q) + A₂(q)	phi3	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 2, 1 ] ]
521	1	2^143^27^2	³D₄(q) + A₂(q)	phi3	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 3 ] ]
522	1	2^133^27^2	³D₄(q) + A₂(q)	phi3	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 1, 1, 1 ] ]
523	1	2^1337	³D₄(q) + A₂(q)	phi3	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 2, 1 ] ]
524	1	2^1237	³D₄(q) + A₂(q)	phi3	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 3 ] ]
525	1	2^1237^3	³D₄(q) + A₂(q)	phi3	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 1, 1, 1 ] ]
526	1	2^123^27^2	³D₄(q) + A₂(q)	phi3	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 1, 1, 1 ] ]
527	1	2^12*7^2	³D₄(q) + A₂(q)	phi3	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 2, 1 ] ]
528	1	2^1237	³D₄(q) + A₂(q)	phi3	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 2, 1 ] ]
529	1	2^11*7^2	³D₄(q) + A₂(q)	phi3	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 3 ] ]
530	1	2^1137	³D₄(q) + A₂(q)	phi3	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 3 ] ]
531	1	2^937^2	³D₄(q) + A₂(q)	phi3	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 1, 1, 1 ] ]
532	1	2^9*7	³D₄(q) + A₂(q)	phi3	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 2, 1 ] ]
533	1	2^8*7	³D₄(q) + A₂(q)	phi3	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 3 ] ]
534	1	2^837^2	³D₄(q) + A₂(q)	phi3	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 1, 1, 1 ] ]
535	1	2^837^2	³D₄(q) + A₂(q)	phi3	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 1, 1, 1 ] ]
536	1	2^8*7	³D₄(q) + A₂(q)	phi3	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 2, 1 ] ]
537	1	2^8*7	³D₄(q) + A₂(q)	phi3	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 2, 1 ] ]
538	1	2^7*7	³D₄(q) + A₂(q)	phi3	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 3 ] ]
539	1	2^7*7	³D₄(q) + A₂(q)	phi3	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 3 ] ]
540	1	2^203^65^3717*31	D₅(q)	phi2 phi4	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
541	1	2^203^45^2*7	D₅(q)	phi2 phi4	[ [ 2, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 0 ] ]
542	1	2^173^55^2*7	D₅(q)	phi2 phi4	[ [ 2, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 1 ] ]
543	1	2^183^35^2	D₅(q)	phi2 phi4	[ [ 2, 2, 2, 2, 1, 1 ], [ -1, 0 ] ]
544	1	2^173^35	D₅(q)	phi2 phi4	[ [ 2, 2, 2, 2, 1, 1 ], [ -1, 1 ] ]
545	1	2^153^35	D₅(q)	phi2 phi4	[ [ 3, 3, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
546	1	2^153^35^2	D₅(q)	phi2 phi4	[ [ 3, 3, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
547	1	2^143^25	D₅(q)	phi2 phi4	[ [ 3, 3, 2, 2 ], [ -1, 0, -1 ] ]
548	1	2^113^35^2	D₅(q)	phi2 phi4	[ [ 4, 2, 1, 1, 1, 1 ], [ -1, 1, -1, 1 ] ]
549	1	2^133^25	D₅(q)	phi2 phi4	[ [ 3, 3, 2, 2 ], [ -1, 1, -1 ] ]
550	1	2^113^25	D₅(q)	phi2 phi4	[ [ 4, 2, 2, 2 ], [ -1, 1, -1, 1 ] ]
551	1	2^103^25	D₅(q)	phi2 phi4	[ [ 4, 4, 1, 1 ], [ -1, -1, -1, 0 ] ]
552	1	2^1135	D₅(q)	phi2 phi4	[ [ 4, 4, 1, 1 ], [ -1, -1, -1, 1 ] ]
553	1	2^113^25	D₅(q)	phi2 phi4	[ [ 4, 4, 1, 1 ], [ -1, -1, -1, 1 ] ]
554	1	2^835	D₅(q)	phi2 phi4	[ [ 5, 5 ], [ -1, -1, -1, -1, -1 ] ]
555	1	2^83^25	D₅(q)	phi2 phi4	[ [ 6, 2, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
556	1	2^83^25	D₅(q)	phi2 phi4	[ [ 6, 2, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
557	1	2^735	D₅(q)	phi2 phi4	[ [ 6, 4 ], [ -1, -1, -1, 1, -1, 1 ] ]
558	1	2^635	D₅(q)	phi2 phi4	[ [ 8, 2 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
559	1	2^635	D₅(q)	phi2 phi4	[ [ 8, 2 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
560	1	2^203^85^2711*17	²D₅(q)	phi2 phi6	[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
561	1	2^203^75	²D₅(q)	phi2 phi6	[ [ 2, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 0 ] ]
562	1	2^173^65*7	²D₅(q)	phi2 phi6	[ [ 2, 2, 1, 1, 1, 1, 1, 1 ], [ -1, 1 ] ]
563	1	2^183^55	²D₅(q)	phi2 phi6	[ [ 2, 2, 2, 2, 1, 1 ], [ -1, 0 ] ]
564	1	2^17*3^4	²D₅(q)	phi2 phi6	[ [ 2, 2, 2, 2, 1, 1 ], [ -1, 1 ] ]
565	1	2^15*3^5	²D₅(q)	phi2 phi6	[ [ 3, 3, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
566	1	2^153^35	²D₅(q)	phi2 phi6	[ [ 3, 3, 1, 1, 1, 1 ], [ -1, -1, -1 ] ]
567	1	2^14*3^4	²D₅(q)	phi2 phi6	[ [ 3, 3, 2, 2 ], [ -1, 0, -1 ] ]
568	1	2^113^45	²D₅(q)	phi2 phi6	[ [ 4, 2, 1, 1, 1, 1 ], [ -1, 1, -1, 1 ] ]
569	1	2^13*3^3	²D₅(q)	phi2 phi6	[ [ 3, 3, 2, 2 ], [ -1, 1, -1 ] ]
570	1	2^11*3^3	²D₅(q)	phi2 phi6	[ [ 4, 2, 2, 2 ], [ -1, 1, -1, 1 ] ]
571	1	2^10*3^4	²D₅(q)	phi2 phi6	[ [ 4, 4, 1, 1 ], [ -1, -1, -1, 0 ] ]
572	1	2^11*3^2	²D₅(q)	phi2 phi6	[ [ 4, 4, 1, 1 ], [ -1, -1, -1, 1 ] ]
573	1	2^11*3^3	²D₅(q)	phi2 phi6	[ [ 4, 4, 1, 1 ], [ -1, -1, -1, 1 ] ]
574	1	2^8*3^3	²D₅(q)	phi2 phi6	[ [ 5, 5 ], [ -1, -1, -1, -1, -1 ] ]
575	1	2^8*3^3	²D₅(q)	phi2 phi6	[ [ 6, 2, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
576	1	2^8*3^3	²D₅(q)	phi2 phi6	[ [ 6, 2, 1, 1 ], [ -1, 1, -1, -1, -1, 1 ] ]
577	1	2^7*3^2	²D₅(q)	phi2 phi6	[ [ 6, 4 ], [ -1, -1, -1, 1, -1, 1 ] ]
578	1	2^6*3^2	²D₅(q)	phi2 phi6	[ [ 8, 2 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
579	1	2^6*3^2	²D₅(q)	phi2 phi6	[ [ 8, 2 ], [ -1, 1, -1, -1, -1, -1, -1, 1 ] ]
580	1	2^113^85*11	²A₄(q) + A₁(q)	phi2 phi6	[ [ 1, 1, 1, 1, 1 ], [ 1, 1 ] ]
581	1	2^113^75*11	²A₄(q) + A₁(q)	phi2 phi6	[ [ 1, 1, 1, 1, 1 ], [ 2 ] ]
582	1	2^11*3^7	²A₄(q) + A₁(q)	phi2 phi6	[ [ 2, 1, 1, 1 ], [ 1, 1 ] ]
583	1	2^11*3^6	²A₄(q) + A₁(q)	phi2 phi6	[ [ 2, 1, 1, 1 ], [ 2 ] ]
584	1	2^10*3^5	²A₄(q) + A₁(q)	phi2 phi6	[ [ 2, 2, 1 ], [ 1, 1 ] ]
585	1	2^10*3^4	²A₄(q) + A₁(q)	phi2 phi6	[ [ 2, 2, 1 ], [ 2 ] ]
586	1	2^8*3^5	²A₄(q) + A₁(q)	phi2 phi6	[ [ 3, 1, 1 ], [ 1, 1 ] ]
587	1	2^8*3^4	²A₄(q) + A₁(q)	phi2 phi6	[ [ 3, 1, 1 ], [ 2 ] ]
588	1	2^8*3^4	²A₄(q) + A₁(q)	phi2 phi6	[ [ 3, 2 ], [ 1, 1 ] ]
589	1	2^8*3^3	²A₄(q) + A₁(q)	phi2 phi6	[ [ 3, 2 ], [ 2 ] ]
590	1	2^6*3^4	²A₄(q) + A₁(q)	phi2 phi6	[ [ 4, 1 ], [ 1, 1 ] ]
591	1	2^6*3^3	²A₄(q) + A₁(q)	phi2 phi6	[ [ 4, 1 ], [ 2 ] ]
592	1	2^5*3^3	²A₄(q) + A₁(q)	phi2 phi6	[ [ 5 ], [ 1, 1 ] ]
593	1	2^5*3^2	²A₄(q) + A₁(q)	phi2 phi6	[ [ 5 ], [ 2 ] ]
594	1	2^63^47^3	A₂(q) + A₁(q³)	phi2 phi3	[ [ 1, 1, 1 ], [ 1, 1 ] ]
595	1	2^63^27^2	A₂(q) + A₁(q³)	phi2 phi3	[ [ 1, 1, 1 ], [ 2 ] ]
596	1	2^63^37^2	A₂(q) + A₁(q³)	phi2 phi3	[ [ 2, 1 ], [ 1, 1 ] ]
597	1	2^637	A₂(q) + A₁(q³)	phi2 phi3	[ [ 2, 1 ], [ 2 ] ]
598	1	2^53^37^2	A₂(q) + A₁(q³)	phi2 phi3	[ [ 3 ], [ 1, 1 ] ]
599	1	2^537	A₂(q) + A₁(q³)	phi2 phi3	[ [ 3 ], [ 2 ] ]
600	1	2^83^65^3	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 1, 1, 1, 1 ], [ 1, 1 ] ]
601	1	2^83^55^2	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 1, 1, 1, 1 ], [ 2 ] ]
602	1	2^83^45^2	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 2, 1, 1 ], [ 1, 1 ] ]
603	1	2^83^35	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 2, 1, 1 ], [ 2 ] ]
604	1	2^73^35^2	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 2, 2 ], [ 1, 1 ] ]
605	1	2^73^25	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 2, 2 ], [ 2 ] ]
606	1	2^63^35^2	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 3, 1 ], [ 1, 1 ] ]
607	1	2^63^25	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 3, 1 ], [ 2 ] ]
608	1	2^53^25^2	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 4 ], [ 1, 1 ] ]
609	1	2^535	²A₃(q) + A₁(q²)	phi2 phi4	[ [ 4 ], [ 2 ] ]
610	1	2^153^557^331	A₅(q)	phi2 phi3	[ 1, 1, 1, 1, 1, 1 ]
611	1	2^153^35*7^2	A₅(q)	phi2 phi3	[ 2, 1, 1, 1, 1 ]
612	1	2^143^37	A₅(q)	phi2 phi3	[ 2, 2, 1, 1 ]
613	1	2^123^27^2	A₅(q)	phi2 phi3	[ 2, 2, 2 ]
614	1	2^113^27^2	A₅(q)	phi2 phi3	[ 3, 1, 1, 1 ]
615	1	2^1137	A₅(q)	phi2 phi3	[ 3, 2, 1 ]
616	1	2^93^27	A₅(q)	phi2 phi3	[ 3, 3 ]
617	1	2^83^27	A₅(q)	phi2 phi3	[ 4, 1, 1 ]
618	1	2^837	A₅(q)	phi2 phi3	[ 4, 2 ]
619	1	2^637	A₅(q)	phi2 phi3	[ 5, 1 ]
620	1	2^537	A₅(q)	phi2 phi3	[ 6 ]
621	1	2^93^65^2*7	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 1, 1, 1, 1 ], [ 1, 1, 1 ] ]
622	1	2^93^45^2*7	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 1, 1, 1, 1 ], [ 2, 1 ] ]
623	1	2^83^35^2*7	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 1, 1, 1, 1 ], [ 3 ] ]
624	1	2^93^55	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 2, 1, 1 ], [ 1, 1, 1 ] ]
625	1	2^93^35	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 2, 1, 1 ], [ 2, 1 ] ]
626	1	2^83^25	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 2, 1, 1 ], [ 3 ] ]
627	1	2^83^55	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 2, 2 ], [ 1, 1, 1 ] ]
628	1	2^83^35	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 2, 2 ], [ 2, 1 ] ]
629	1	2^73^25	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 2, 2 ], [ 3 ] ]
630	1	2^73^45	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 3, 1 ], [ 1, 1, 1 ] ]
631	1	2^73^25	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 3, 1 ], [ 2, 1 ] ]
632	1	2^635	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 3, 1 ], [ 3 ] ]
633	1	2^63^45	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 4 ], [ 1, 1, 1 ] ]
634	1	2^63^25	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 4 ], [ 2, 1 ] ]
635	1	2^535	A₃(q) + ²A₂(q)	phi2 phi4	[ [ 4 ], [ 3 ] ]
636	1	2^133^65^2717	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 1, 1 ] ]
637	1	2^133^55^2717	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 2 ] ]
638	1	2^133^45^2	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 1, 1 ] ]
639	1	2^133^35^2	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 2 ] ]
640	1	2^113^45^2	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 1 ] ], [ 1, 1 ] ]
641	1	2^113^35^2	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 1 ] ], [ 2 ] ]
642	1	2^113^35	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 1, 1 ] ]
643	1	2^113^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 2 ] ]
644	1	2^103^35	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 1, 1 ] ]
645	1	2^103^35	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 1, 1 ] ]
646	1	2^103^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 2 ] ]
647	1	2^103^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 2 ] ]
648	1	2^73^35	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 4, 2, 1, 1 ], [ -1, 1, -1, 1 ] ], [ 1, 1 ] ]
649	1	2^73^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 4, 2, 1, 1 ], [ -1, 1, -1, 1 ] ], [ 2 ] ]
650	1	2^73^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 1, 1 ] ]
651	1	2^735	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 2 ] ]
652	1	2^63^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 1, 1 ] ]
653	1	2^63^25	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 1, 1 ] ]
654	1	2^635	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 2 ] ]
655	1	2^635	²D₄(q) + A₁(q)	phi2 phi4	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 2 ] ]
656	1	2^133^77^2*13	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 1, 1 ] ]
657	1	2^133^67^2*13	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ], [ 2 ] ]
658	1	2^133^57	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 1, 1 ] ]
659	1	2^133^47	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ], [ 2 ] ]
660	1	2^11*3^4	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 1, 1 ] ]
661	1	2^11*3^3	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 2, 2, 2, 2 ], [ -1, 1 ] ], [ 2 ] ]
662	1	2^103^37	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 1, 1 ] ]
663	1	2^10*3^4	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 1, 1 ] ]
664	1	2^103^27	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 2 ] ]
665	1	2^10*3^3	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ], [ 2 ] ]
666	1	2^7*3^3	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 1, 1 ] ]
667	1	2^7*3^2	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 4, 4 ], [ -1, -1, -1, 1 ] ], [ 2 ] ]
668	1	2^6*3^3	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 1, 1 ] ]
669	1	2^6*3^3	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 1, 1 ] ]
670	1	2^6*3^2	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 2 ] ]
671	1	2^6*3^2	³D₄(q) + A₁(q)	phi2 phi6	[ [ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ], [ 2 ] ]
672	3	2^103^25731^2	A₄(q)	phi5	[ 1, 1, 1, 1, 1 ]
673	3	2^1037*31	A₄(q)	phi5	[ 2, 1, 1, 1 ]
674	3	2^9331	A₄(q)	phi5	[ 2, 2, 1 ]
675	3	2^7331	A₄(q)	phi5	[ 3, 1, 1 ]
676	3	2^7*31	A₄(q)	phi5	[ 3, 2 ]
677	3	2^5*31	A₄(q)	phi5	[ 4, 1 ]
678	3	2^4*31	A₄(q)	phi5	[ 5 ]
679	1	2^103^55*11^2	²A₄(q)	phi10	[ 1, 1, 1, 1, 1 ]
680	1	2^103^411	²A₄(q)	phi10	[ 2, 1, 1, 1 ]
681	1	2^93^211	²A₄(q)	phi10	[ 2, 2, 1 ]
682	1	2^73^211	²A₄(q)	phi10	[ 3, 1, 1 ]
683	1	2^7311	²A₄(q)	phi10	[ 3, 2 ]
684	1	2^5311	²A₄(q)	phi10	[ 4, 1 ]
685	1	2^4*11	²A₄(q)	phi10	[ 5 ]
686	1	2^103^65^2*11	²A₄(q)	phi1 phi2 phi4	[ 1, 1, 1, 1, 1 ]
687	1	2^103^55	²A₄(q)	phi1 phi2 phi4	[ 2, 1, 1, 1 ]
688	1	2^93^35	²A₄(q)	phi1 phi2 phi4	[ 2, 2, 1 ]
689	1	2^73^35	²A₄(q)	phi1 phi2 phi4	[ 3, 1, 1 ]
690	1	2^73^25	²A₄(q)	phi1 phi2 phi4	[ 3, 2 ]
691	1	2^53^25	²A₄(q)	phi1 phi2 phi4	[ 4, 1 ]
692	1	2^435	²A₄(q)	phi1 phi2 phi4	[ 5 ]
693	2	2^435*17^2	A₁(q⁴)	phi8	[ 1, 1 ]
694	2	2^4*17	A₁(q⁴)	phi8	[ 2 ]
695	1	2^43^25^2*17	A₁(q⁴)	phi1 phi2 phi4	[ 1, 1 ]
696	1	2^435	A₁(q⁴)	phi1 phi2 phi4	[ 2 ]
697	1	2^63^57^2	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 1, 1, 1 ], [ 1, 1, 1 ] ]
698	1	2^63^37^2	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 1, 1, 1 ], [ 2, 1 ] ]
699	1	2^53^27^2	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 1, 1, 1 ], [ 3 ] ]
700	1	2^63^47	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 2, 1 ], [ 1, 1, 1 ] ]
701	1	2^63^27	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 2, 1 ], [ 2, 1 ] ]
702	1	2^537	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 2, 1 ], [ 3 ] ]
703	1	2^53^47	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 3 ], [ 1, 1, 1 ] ]
704	1	2^53^27	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 3 ], [ 2, 1 ] ]
705	1	2^437	A₂(q) + ²A₂(q)	phi3 phi6	[ [ 3 ], [ 3 ] ]
706	1	2^63^25^3*13	²A₂(q²)	phi1 phi2 phi4	[ 1, 1, 1 ]
707	1	2^635^2	²A₂(q²)	phi1 phi2 phi4	[ 2, 1 ]
708	1	2^435	²A₂(q²)	phi1 phi2 phi4	[ 3 ]
709	1	2^635^2*13^2	²A₂(q²)	phi12	[ 1, 1, 1 ]
710	1	2^6513	²A₂(q²)	phi12	[ 2, 1 ]
711	1	2^4*13	²A₂(q²)	phi12	[ 3 ]
712	1	2^123^47^2*13^2	³D₄(q)	phi12	[ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
713	1	2^123^27*13	³D₄(q)	phi12	[ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ]
714	1	2^10313	³D₄(q)	phi12	[ [ 2, 2, 2, 2 ], [ -1, 1 ] ]
715	1	2^9713	³D₄(q)	phi12	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
716	1	2^9313	³D₄(q)	phi12	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
717	1	2^6*13	³D₄(q)	phi12	[ [ 4, 4 ], [ -1, -1, -1, 1 ] ]
718	1	2^5*13	³D₄(q)	phi12	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
719	1	2^5*13	³D₄(q)	phi12	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
720	1	2^123^57^3*13	³D₄(q)	phi1 phi2 phi3	[ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
721	1	2^123^37^2	³D₄(q)	phi1 phi2 phi3	[ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ]
722	1	2^103^27	³D₄(q)	phi1 phi2 phi3	[ [ 2, 2, 2, 2 ], [ -1, 1 ] ]
723	1	2^937^2	³D₄(q)	phi1 phi2 phi3	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
724	1	2^93^27	³D₄(q)	phi1 phi2 phi3	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
725	1	2^637	³D₄(q)	phi1 phi2 phi3	[ [ 4, 4 ], [ -1, -1, -1, 1 ] ]
726	1	2^537	³D₄(q)	phi1 phi2 phi3	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
727	1	2^537	³D₄(q)	phi1 phi2 phi3	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
728	1	2^123^557^217	²D₄(q)	phi1 phi2 phi3	[ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
729	1	2^123^35*7	²D₄(q)	phi1 phi2 phi3	[ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ]
730	1	2^103^35*7	²D₄(q)	phi1 phi2 phi3	[ [ 2, 2, 1, 1, 1, 1 ], [ -1, 1 ] ]
731	1	2^103^27	²D₄(q)	phi1 phi2 phi3	[ [ 2, 2, 2, 2 ], [ -1, 1 ] ]
732	1	2^93^27	²D₄(q)	phi1 phi2 phi3	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
733	1	2^93^27	²D₄(q)	phi1 phi2 phi3	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
734	1	2^63^27	²D₄(q)	phi1 phi2 phi3	[ [ 4, 2, 1, 1 ], [ -1, 1, -1, 1 ] ]
735	1	2^637	²D₄(q)	phi1 phi2 phi3	[ [ 4, 4 ], [ -1, -1, -1, 1 ] ]
736	1	2^537	²D₄(q)	phi1 phi2 phi3	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
737	1	2^537	²D₄(q)	phi1 phi2 phi3	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
738	2	2^123^45717^2	²D₄(q)	phi8	[ [ 1, 1, 1, 1, 1, 1, 1, 1 ], [ -1 ] ]
739	2	2^123^25*17	²D₄(q)	phi8	[ [ 2, 2, 1, 1, 1, 1 ], [ -1, 0 ] ]
740	2	2^103^25*17	²D₄(q)	phi8	[ [ 2, 2, 1, 1, 1, 1 ], [ -1, 1 ] ]
741	2	2^10317	²D₄(q)	phi8	[ [ 2, 2, 2, 2 ], [ -1, 1 ] ]
742	2	2^9317	²D₄(q)	phi8	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
743	2	2^9317	²D₄(q)	phi8	[ [ 3, 3, 1, 1 ], [ -1, -1, -1 ] ]
744	2	2^6317	²D₄(q)	phi8	[ [ 4, 2, 1, 1 ], [ -1, 1, -1, 1 ] ]
745	2	2^6*17	²D₄(q)	phi8	[ [ 4, 4 ], [ -1, -1, -1, 1 ] ]
746	2	2^5*17	²D₄(q)	phi8	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
747	2	2^5*17	²D₄(q)	phi8	[ [ 6, 2 ], [ -1, 1, -1, -1, -1, 1 ] ]
748	2	2^43^511	²A₂(q) + A₁(q)	phi2 phi10	[ [ 1, 1, 1 ], [ 1, 1 ] ]
749	2	2^43^411	²A₂(q) + A₁(q)	phi2 phi10	[ [ 1, 1, 1 ], [ 2 ] ]
750	2	2^43^311	²A₂(q) + A₁(q)	phi2 phi10	[ [ 2, 1 ], [ 1, 1 ] ]
751	2	2^43^211	²A₂(q) + A₁(q)	phi2 phi10	[ [ 2, 1 ], [ 2 ] ]
752	2	2^33^211	²A₂(q) + A₁(q)	phi2 phi10	[ [ 3 ], [ 1, 1 ] ]
753	2	2^3311	²A₂(q) + A₁(q)	phi2 phi10	[ [ 3 ], [ 2 ] ]
754	3	2^43^47^2	A₂(q) + A₁(q)	phi2 phi3 phi6	[ [ 1, 1, 1 ], [ 1, 1 ] ]
755	3	2^43^37^2	A₂(q) + A₁(q)	phi2 phi3 phi6	[ [ 1, 1, 1 ], [ 2 ] ]
756	3	2^43^37	A₂(q) + A₁(q)	phi2 phi3 phi6	[ [ 2, 1 ], [ 1, 1 ] ]
757	3	2^43^27	A₂(q) + A₁(q)	phi2 phi3 phi6	[ [ 2, 1 ], [ 2 ] ]
758	3	2^33^37	A₂(q) + A₁(q)	phi2 phi3 phi6	[ [ 3 ], [ 1, 1 ] ]
759	3	2^33^27	A₂(q) + A₁(q)	phi2 phi3 phi6	[ [ 3 ], [ 2 ] ]
760	1	2^33^47^2	A₁(q³)	phi1 phi2^2 phi3	[ 1, 1 ]
761	1	2^33^27	A₁(q³)	phi1 phi2^2 phi3	[ 2 ]
762	1	2^33^37*13	A₁(q³)	phi2 phi12	[ 1, 1 ]
763	1	2^3313	A₁(q³)	phi2 phi12	[ 2 ]
764	2	2^33^35*17	A₁(q) + A₁(q²)	phi2 phi8	[ [ 1, 1 ], [ 1, 1 ] ]
765	2	2^33^217	A₁(q) + A₁(q²)	phi2 phi8	[ [ 1, 1 ], [ 2 ] ]
766	2	2^33^25*17	A₁(q) + A₁(q²)	phi2 phi8	[ [ 2 ], [ 1, 1 ] ]
767	2	2^3317	A₁(q) + A₁(q²)	phi2 phi8	[ [ 2 ], [ 2 ] ]
768	2	2^63^55*11	²A₃(q)	phi2 phi10	[ 1, 1, 1, 1 ]
769	2	2^63^311	²A₃(q)	phi2 phi10	[ 2, 1, 1 ]
770	2	2^53^211	²A₃(q)	phi2 phi10	[ 2, 2 ]
771	2	2^43^211	²A₃(q)	phi2 phi10	[ 3, 1 ]
772	2	2^3311	²A₃(q)	phi2 phi10	[ 4 ]
773	1	2^63^45^2*7	A₃(q)	phi2 phi4 phi6	[ 1, 1, 1, 1 ]
774	1	2^63^35	A₃(q)	phi2 phi4 phi6	[ 2, 1, 1 ]
775	1	2^53^35	A₃(q)	phi2 phi4 phi6	[ 2, 2 ]
776	1	2^43^25	A₃(q)	phi2 phi4 phi6	[ 3, 1 ]
777	1	2^33^25	A₃(q)	phi2 phi4 phi6	[ 4 ]
778	1	2^63^45^2*7	²A₃(q)	phi1 phi3 phi4	[ 1, 1, 1, 1 ]
779	1	2^63^25*7	²A₃(q)	phi1 phi3 phi4	[ 2, 1, 1 ]
780	1	2^535*7	²A₃(q)	phi1 phi3 phi4	[ 2, 2 ]
781	1	2^435*7	²A₃(q)	phi1 phi3 phi4	[ 3, 1 ]
782	1	2^357	²A₃(q)	phi1 phi3 phi4	[ 4 ]
783	2	2^63^35717	A₃(q)	phi2 phi8	[ 1, 1, 1, 1 ]
784	2	2^63^217	A₃(q)	phi2 phi8	[ 2, 1, 1 ]
785	2	2^53^217	A₃(q)	phi2 phi8	[ 2, 2 ]
786	2	2^4317	A₃(q)	phi2 phi8	[ 3, 1 ]
787	2	2^3317	A₃(q)	phi2 phi8	[ 4 ]
788	3	2^23^25*31	A₁(q²)	phi1 phi2 phi5	[ 1, 1 ]
789	3	2^2331	A₁(q²)	phi1 phi2 phi5	[ 2 ]
790	1	2^23^411	A₁(q) + A₁(q)	phi2^2 phi10	[ [ 1, 1 ], [ 1, 1 ] ]
791	1	2^23^311	A₁(q) + A₁(q)	phi2^2 phi10	[ [ 1, 1 ], [ 2 ] ]
792	1	2^23^311	A₁(q) + A₁(q)	phi2^2 phi10	[ [ 2 ], [ 1, 1 ] ]
793	1	2^23^211	A₁(q) + A₁(q)	phi2^2 phi10	[ [ 2 ], [ 2 ] ]
794	1	2^23^35*7	A₁(q) + A₁(q)	phi1 phi2 phi3 phi4	[ [ 1, 1 ], [ 1, 1 ] ]
795	1	2^23^25*7	A₁(q) + A₁(q)	phi1 phi2 phi3 phi4	[ [ 1, 1 ], [ 2 ] ]
796	1	2^23^25*7	A₁(q) + A₁(q)	phi1 phi2 phi3 phi4	[ [ 2 ], [ 1, 1 ] ]
797	1	2^235*7	A₁(q) + A₁(q)	phi1 phi2 phi3 phi4	[ [ 2 ], [ 2 ] ]
798	1	2^23^45^2	A₁(q²)	phi2^2 phi4 phi6	[ 1, 1 ]
799	1	2^23^35	A₁(q²)	phi2^2 phi4 phi6	[ 2 ]
800	4	2^235^2*13	A₁(q²)	phi4 phi12	[ 1, 1 ]
801	4	2^2513	A₁(q²)	phi4 phi12	[ 2 ]
802	1	2^23^35*7	A₁(q²)	phi1 phi2 phi3 phi6	[ 1, 1 ]
803	1	2^23^27	A₁(q²)	phi1 phi2 phi3 phi6	[ 2 ]
804	2	2^23^25*17	A₁(q) + A₁(q)	phi4 phi8	[ [ 1, 1 ], [ 1, 1 ] ]
805	2	2^235*17	A₁(q) + A₁(q)	phi4 phi8	[ [ 1, 1 ], [ 2 ] ]
806	2	2^235*17	A₁(q) + A₁(q)	phi4 phi8	[ [ 2 ], [ 1, 1 ] ]
807	2	2^2517	A₁(q) + A₁(q)	phi4 phi8	[ [ 2 ], [ 2 ] ]
808	3	2^33^27*31	A₂(q)	phi1 phi2 phi5	[ 1, 1, 1 ]
809	3	2^3331	A₂(q)	phi1 phi2 phi5	[ 2, 1 ]
810	3	2^2331	A₂(q)	phi1 phi2 phi5	[ 3 ]
811	1	2^33^511	²A₂(q)	phi2^2 phi10	[ 1, 1, 1 ]
812	1	2^33^311	²A₂(q)	phi2^2 phi10	[ 2, 1 ]
813	1	2^23^211	²A₂(q)	phi2^2 phi10	[ 3 ]
814	4	2^337*73	A₂(q)	phi9	[ 1, 1, 1 ]
815	4	2^3*73	A₂(q)	phi9	[ 2, 1 ]
816	4	2^2*73	A₂(q)	phi9	[ 3 ]
817	3	2^337^2*13	A₂(q)	phi3 phi12	[ 1, 1, 1 ]
818	3	2^3713	A₂(q)	phi3 phi12	[ 2, 1 ]
819	3	2^2713	A₂(q)	phi3 phi12	[ 3 ]
820	1	2^33^413	²A₂(q)	phi6 phi12	[ 1, 1, 1 ]
821	1	2^33^213	²A₂(q)	phi6 phi12	[ 2, 1 ]
822	1	2^2313	²A₂(q)	phi6 phi12	[ 3 ]
823	3	2^33^419	²A₂(q)	phi18	[ 1, 1, 1 ]
824	3	2^33^219	²A₂(q)	phi18	[ 2, 1 ]
825	3	2^2319	²A₂(q)	phi18	[ 3 ]
826	1	2^33^57	²A₂(q)	phi1 phi2 phi3 phi6	[ 1, 1, 1 ]
827	1	2^33^37	²A₂(q)	phi1 phi2 phi3 phi6	[ 2, 1 ]
828	1	2^23^27	²A₂(q)	phi1 phi2 phi3 phi6	[ 3 ]
829	2	2^33^45*7	²A₂(q)	phi1 phi2 phi3 phi4	[ 1, 1, 1 ]
830	2	2^33^25*7	²A₂(q)	phi1 phi2 phi3 phi4	[ 2, 1 ]
831	2	2^235*7	²A₂(q)	phi1 phi2 phi3 phi4	[ 3 ]
832	2	2^33^417	²A₂(q)	phi1 phi2 phi8	[ 1, 1, 1 ]
833	2	2^33^217	²A₂(q)	phi1 phi2 phi8	[ 2, 1 ]
834	2	2^2317	²A₂(q)	phi1 phi2 phi8	[ 3 ]
835	9	23127	A₁(q)	phi1 phi7	[ 1, 1 ]
836	9	2*127	A₁(q)	phi1 phi7	[ 2 ]
837	9	23^243	A₁(q)	phi2 phi14	[ 1, 1 ]
838	9	2343	A₁(q)	phi2 phi14	[ 2 ]
839	6	237*31	A₁(q)	phi1 phi3 phi5	[ 1, 1 ]
840	6	2731	A₁(q)	phi1 phi3 phi5	[ 2 ]
841	2	23^311	A₁(q)	phi2 phi6 phi10	[ 1, 1 ]
842	2	23^211	A₁(q)	phi2 phi6 phi10	[ 2 ]
843	1	23^37^2	A₁(q)	phi2 phi3^2 phi6	[ 1, 1 ]
844	1	23^27^2	A₁(q)	phi2 phi3^2 phi6	[ 2 ]
845	3	23^313	A₁(q)	phi2 phi6 phi12	[ 1, 1 ]
846	3	23^213	A₁(q)	phi2 phi6 phi12	[ 2 ]
847	6	23^319	A₁(q)	phi2 phi18	[ 1, 1 ]
848	6	23^219	A₁(q)	phi2 phi18	[ 2 ]
849	3	23^47	A₁(q)	phi1 phi2^2 phi3 phi6	[ 1, 1 ]
850	3	23^37	A₁(q)	phi1 phi2^2 phi3 phi6	[ 2 ]
851	1	23^35*7	A₁(q)	phi1 phi2^2 phi3 phi4	[ 1, 1 ]
852	1	23^25*7	A₁(q)	phi1 phi2^2 phi3 phi4	[ 2 ]
853	1	23^45	A₁(q)	phi1 phi2^2 phi4 phi6	[ 1, 1 ]
854	1	23^35	A₁(q)	phi1 phi2^2 phi4 phi6	[ 2 ]
855	4	23^25*17	A₁(q)	phi2 phi4 phi8	[ 1, 1 ]
856	4	235*17	A₁(q)	phi2 phi4 phi8	[ 2 ]
857	1	31^2	A₀(q)	phi5^2	1
858	2	5^2*13	A₀(q)	phi4^2 phi12	1
859	9	3^2*43	A₀(q)	phi2^2 phi14	1
860	2	3^2517	A₀(q)	phi2^2 phi4 phi8	1
861	1	3^3*19	A₀(q)	phi2^2 phi18	1
862	8	7*73	A₀(q)	phi3 phi9	1
863	2	3^2*19	A₀(q)	phi6 phi18	1
864	10	5*41	A₀(q)	phi20	1
865	1	7^2*13	A₀(q)	phi3^2 phi12	1
866	10	241	A₀(q)	phi24	1
867	2	3^3*11	A₀(q)	phi2^2 phi6 phi10	1
868	5	151	A₀(q)	phi15	1
869	11	331	A₀(q)	phi30	1
870	14	3517	A₀(q)	phi1 phi2 phi4 phi8	1
871	2	3^257	A₀(q)	phi1 phi2 phi3 phi4 phi6	1
872	5	3513	A₀(q)	phi1 phi2 phi4 phi12	1
873	3	3713	A₀(q)	phi1 phi2 phi3 phi12	1
874	9	3*127	A₀(q)	phi1 phi2 phi7	1
875	4	3*73	A₀(q)	phi1 phi2 phi9	1
876	9	3531	A₀(q)	phi1 phi2 phi4 phi5	1
877	3	3511	A₀(q)	phi1 phi2 phi4 phi10	1
878	6	3717	A₀(q)	phi1 phi2 phi3 phi8	1
879	2	3^2*17	A₀(q)	phi1 phi2 phi6 phi8	1
880	6	3731	A₀(q)	phi1 phi2 phi3 phi5	1

Character Degrees

The following table lists the degrees of the complex irreducible characters of E₈(2).

The irreducible characters are parameterized via Lusztig-series and these correspond to classes of semisimple elements in the "dual group". The rows of the following table correspond to types of such Lusztig-series. The column "type of series" gives the Dynkin type of the centralizer of the semisimple element parameterizing the series. The column "# series" is the number of series of that type. The column "# chars in series " shows the number of characters in each series of that type and in "degrees" the corresponding character degrees are listed.

More character values: Actually we can in principle compute many more character values than just the degrees. For example the GAP file with the centralizer orders mentioned above also contains a list valuesMinimalCharacterE82 of the values of the non-trivial character of smallest degree (545925250) of E₈(2).

(Here is a GAP-readable file containing the sequence of character degrees (with multiplicities) as given below.)

There are 1156 irreducible characters.

type of series

# series

# chars in series

degrees

E₈(q)

166

1
545925250
76321227908420
46453389380074796
51320060161363500
144074197011621500
148940867792910204
127929553474479757000
147918692235949500360
178545970712140317000
198535109473610060360
13820812726743215908000
27416779470537091742016
70958783833038513338080
159352242337572428716000
279096468950606833738080
367489927455140749116000
534301494403074980296000
2291338718665339028400000
2291338718665339028400000
2822600845512104754552000
5621544648678252335600000
6506076663189818153712000
9301981098799656480616000
11590280449908686254872000
26724798720734101695713280
56417094325699094956791680
73107820298507698677600000
73107820298507698677600000
94093562162584649720323840
123785857767549642981402240
173989575004779307914800000
181098285718955846121447424
209420927466401451828867840
241358338446629855939410560
583321950413237446423294464
863263284102515643737854464
1053279268005909217396032000
1193249934850548316053312000
1333220601695187414710592000
1442398551369764689308608000
2308407424871558893817792000
4988322244969495289603200000
4988322244969495289603200000
5079646226336294601962688000
5945655099838088806471872000
17202267031105255186954352640
19137300164635154893226823680
26294639289270230880748032000
26855046100806652052438400000
26855046100806652052438400000
33675590668714506215694848000
40485914836208879060804352000
40832929793349582203216056320
90813021278757762570234992640
114096669083861386444084992000
117243090806526327687116800000
170354944515398695080840953856
200728207706899346530760704000
305751924655429647106962432000
306513121645148183331186647040
450775623124524886351820800000
490641912035301221945760890880
643377903696171406400584826880
789508091367476611278280704000
1039555506785102151099340800000
1090276774579408481343590400000
1090276774579408481343590400000
1181236103456447294950526976000
1232557938383889321994622976000
1314643819388870185844428800000
1314643819388870185844428800000
1697796428615211057388569600000
1977207508554791779855651307520
2154272772912068135657548800000
2184107724494170334535323648000
2760900448976946448820242366464
2760900448976946448820242366464
2795816364662067341830889472000
2795816364662067341830889472000
2795816364662067341830889472000
2795816364662067341830889472000
2830124798289749206864171008000
3183575351998473807122761728000
3495265893690548325552230400000
3495265893690548325552230400000
3582345612588523027867949056000
3719632938500010030053068800000
3719632938500010030053068800000
4065990389170333044189210624000
4119318795895701977724586721280
4176850861821997634945063387136
5383218705265679662212173807616
7616575978218392989761644544000
8040254881864145461124172800000
8542282904801859214671136727040
9436748796285856226885179367424
9658902863973782341000286208000
10948096861579735111860701921280
11069115804894720001659047673856
12846605293241558177968685056000
13082868584873491641113530368000
13484151800819982034300953600000
17789580571963374630066124800000
28849639879969592726516531200000
50528517847518503121809965056000
66531552434246537670357811200000
70460485759407125245765028413440
75599110621212626876833726464000
78386381474345594442657069793280
107702842528850865687543939072000
125604329481037112818114788065280
137935219379054617459486097408000
163457343323160421649717657600000
163457343323160421649717657600000
164704743346219880038549715681280
165830307169111568633054625792000
167251680433559888704372966686720
313089970847159958637529530368000
371970135157791795487682529853440
378116125850275594714115735552000
448367720694279702714947972628480
467339956567496238874972127232000
573701861166283520551791099904000
605135155985529934660971266048000
611657397476510868620752415883264
879986150631232374454301491200000
879986150631232374454301491200000
905197161391079443648064482443264
946521777594628067094604682362880
1104443361728564263540261650432000
1226545692437248138377009561600000
1226545692437248138377009561600000
1331598780356701612136906883072000
1397983125643132838567573716992000
1558617810491955952083762413568000
1578628016611109786642212653629440
2076782073511458151021869363363840
2460306215181543973932603801600000
2460306215181543973932603801600000
2919060681603383481217109196800000
3030744580284109573231736782848000
3513500135024149900046510787133440
4049320977520213565144373877800960
4876250494829343025528214262906880
5004852974743394204215670734848000
6036087604769225851959404134400000
6985846623417269002595035250688000
9987926151838667360070044483584000
10950602710146242773864180350976000
12444968870956493412749990166528000
19179363305150972644146608477306880
25253715520467872392482574565376000
30145067824025857174249059611836416
36008968084833810968020718190592000
41635410452184578100673919487836160
50256222947981163998614181117952000
53557111578163560307062088606416896
55882665315331931131267382415196160
59168000977753112427765512011776000
60784577193474761640680391442432000
166106239993661956034866744131584000
171717129393251508155570167536943104
360416808606177964132399030017720320
675822725431881047919373116768256000
1329227995784915872903807060280344576

²E₆(q) + ²A₂(q)

2817184670644071658805875
5634369341288143317611750
22537477365152573270447000
5459703891708210874765785750
10919407783416421749531571500
43677631133665686998126286000
136971518686714764051141642500
273943037373429528102283285000
1095772149493718112409133140000
1561475313028548310183014724500
2296287225041982809092668712500
3122950626057096620366029449000
4592574450083965618185337425000
5150748883248016824087863050500
5885560795261451322997517038500
8327868336152257654309411864000
10301497766496033648175726101000
11771121590522902645995034077000
12202917119361860797283528150000
12491802504228386481464117796000
16655736672304515308618823728000
18370297800335862472741349700000
24405834238723721594567056300000
41205991065984134592702904404000
47084486362091610583980136308000
56780920473765393097564171800000
62459012521141932407320588980000
66622946689218061234475294912000
97623336954894886378268225200000
113561840947530786195128343600000
124918025042283864814641177960000
176755665380686153101358586568000
353511330761372306202717173136000
386588414341383750057942171792000
409650203579959232792952850800000
409650203579959232792952850800000
454247363790123144780513374400000
499672100169135459258564711840000
624590125211419324073205889800000
773176828682767500115884343584000
784741439368193509733002271800000
816131096942921250122322362672000
819300407159918465585905701600000
819300407159918465585905701600000
1249180250422838648146411779600000
1401003696243460576151898749736000
1414045323045489224810868692544000
1569482878736387019466004543600000
1632262193885842500244644725344000
2802007392486921152303797499472000
2828090646090978449621737385088000
3092707314731070000463537374336000
3277201628639673862343622806400000
3277201628639673862343622806400000
3633978910320985158244106995200000
3997376801353083674068517694720000
4996721001691354592585647118400000
5656181292181956899243474770176000
6247893565113272728209166412800000
6277931514945548077864018174400000
6395802882164933878509628311552000
6529048775543370000978578901376000
7267957820641970316488213990400000
7994753602706167348137035389440000
9405592473771961586043571046400000
11208029569947684609215189997888000
12495787130226545456418332825600000
12791605764329867757019256623104000
18811184947543923172087142092800000
21097467425783876911463887054848000
22624725168727827596973899080704000
24107257017390904618997829789696000
29071831282567881265952855961600000
31979014410824669392548141557760000
35906261794610155107422474731520000
42194934851567753822927774109696000
48214514034781809237995659579392000
49983148520906181825673331302400000
51166423057319471028077026492416000
71812523589220310214844949463040000
75244739790175692688348568371200000
91598631487229262819494536937472000
168779739406271015291711096438784000
183197262974458525638989073874944000
192858056139127236951982638317568000
193595456435341104493627256602624000
287250094356881240859379797852160000
387190912870682208987254513205248000
732789051897834102555956295499776000
1548763651482728835949018052820992000

²A₄(q²)

997235235005433110966084314509

203435987941108354637081200159836

3270931570817820603968756551589520

14104895163916845921504296544415296

52334905133085129663500104825432320

208318451651694955148371148963672064

1045676933781057029764372826170589184

²A₈(q)

17885846862461199136139625
3040593966618403853143736250
256912304332392664391509573500
522982162258365462740722635000
3466277121944980392583859325000
7715525076141062238551366874000
11923993299490732550488476078000
29287001086468465913480467560000
104820220167616207071735905988000
238479865989814651009769521560000
305032386731158274547379620600000
353511330761372306202717173136000
476959731979629302019539043120000
1030902438243690000154512458112000
1397602935568216094289812079840000
2670974499085924091309418641472000
2795205871136432188579624159680000
3815677855837034416156312344960000
5656181292181956899243474770176000
14994944556271854547701999390720000
15262711423348137664625249379840000
19522072750794129571032295718400000
26833976362909749010364391932928000
31602790711873790929106398715904000
48840676554714040526800798015488000
113582968731893117504187902361600000
137096635943056955864703994429440000
269392076427642970456991542542336000
408101613970030008155397936906240000
1229106037368560965738610257035264000

E₇(q)

97697128859455125
13871624538238595378250
9322265116019908719166500
17759947601111013959661000
236643512334102019339693500
378723093142990131016981500
833379459008298333134503500
975459039817186444811791500
6901185220161951912836643000
10538641032813599393811123000
31125753748077374953814247000
34763209560729022434788727000
407271118388677772122946052000
629838781725800999065417704000
784989683969106817017016200000
823635329949124383393238536000
1629084473554711088491784208000
1690619887790307944859805416000
2404991410449858509547668400000
2404991410449858509547668400000
3790082493542977941744531096000
7138172859559077989408067312000
8221193738636565260528306352000
13727255499152073056553975600000
16769817060470984591554569096000
18869279666223654588439294776000
21253869527074253968462580016000
29351368121823341662740864192000
34287738565446793224712906992000
40309682030451263940186733056000
47320414353884481932647180656000
54487443881801797048335753600000
54487443881801797048335753600000
69079092189281399897497425600000
110777744201720354017441326144000
154949717556880432385463456192000
171316148629417871745793615488000
194677441624338490620220017600000
234810944974586733301926913536000
322477456243610111521493864448000
552632737514251199179979404800000
865597382548637667768220372992000
879959295585131567802249052800000
879959295585131567802249052800000
1052312798545480353347623213056000
1231355602150327556888406220800000
1231355602150327556888406220800000
1239597740455043459083707649536000
1370529189035342973966348923904000
1557419532994707924961760140800000
1940522236694004706173199921152000
2720495299465504507963210242048000
3544887814455051328558122436608000
3654744504094247930576930463744000
4388830536377189532763252094976000
6057013037297213687378839123968000
7028354815565861404955635507200000
8586146334961144110875939377152000
9661071189106511149280918925312000
13345460007360193236924696231936000
14472834386833077777909191540736000
20638557199591047137375607324672000
22101132119247105595929784221696000
25722541964299692180013586841600000
26988882491772907795029640347648000
31761754571423149955985721786368000
50831353102784514511521586348032000
53381840029440772947698784927744000
65275436724287963039141455724544000
72903734456701990857162048405504000
111854297549962935419500178178048000
130923896081324299975036042739712000
152556788250890916444286916493312000
320310590383577229069802927030272000
488064399229959115526639613640704000
901096966403296116382005372911616000

²A₂(q³) + A₁(q)

873707074822881801191219752096875

1747414149645763602382439504193750

48927596190081380866708306117425000

97855192380162761733416612234850000

447338022309315482209904513073600000

894676044618630964419809026147200000

²D₇(q)

216836569548448426251675
578086294416163504386965550
1183927669734528407334145500
71272445718018610121515559100
90666308498431837365465371100
330665360406045524509344294600
375756091370506277851527607500
412753614213140742132293402700
697843397085215182618355639100
1291901873214317398083019569600
6346641594890228615582575977000
11272682741115188335545828225000
12959948803011139105769461869000
17885989949236098825732714117000
27775890274107824058784920746400
44970489015222191333270824065600
53026699614205845930407575970400
66133072081209104901868858920000
67455733522833286999906236098400
96930526176505309765261160376000
148341567837542884533730455854400
157396711553277669666447884229600
169504150903529798102328490708800
231465752284231867156541006220000
321406730314676249823082654351200
334664104299327935503410783744000
426494315176623362967149105654400
555517805482156481175698414928000
757524280202940656148679656720000
870908559562348547907707837596800
1201938524588665841089238388662400
1555449855350038147291955561798400
1705977260706493451868596422617600
1798819560608887653330832962624000
2878111296974220245329332740198400
3030097120811762624594718626880000
3483634238249394191630831350387200
4088226274111108303024620369600000
4232516613197382713719606970880000
4317166945461330367993999110297600
4807754098354663364356953554649600
6221799421400152589167822247193600
8888284887714503698811174638848000
9493860341602744610158749174681600
10073389539409770858652664590694400
10848265657825907078549023405363200
14813808146190839498018624398080000
20570030740139279988677289878476800
21166520290743376250192192628326400
23767628775012915574332554241638400
24814214701185359299906857056256000
25995843972670376409426231201792000
28442511640686411836195758844313600
46172908507607811422395712409600000
53083950297133625777231715815424000
54299340404946786232737357793689600
73261014832071060790201197023232000
86681940238282397976977550763622400
98502204816229997701110853140480000
108200883444289566705527921757388800
182935459485506648832306220656230400
298938304164868328507113195595366400
317808163896205531967695091662848000
620715432195812416282692391482163200
953657318182313449772658677986099200

E₆(q)

11612607616871267200140375
28822492105074485190748410750
1591159495663701031763234182500
5150748883248016824087863050500
16082950594631562736437613198500
23230928636690035063743219064500
34163130348073580976092969212500
249452746739535064979655423450000
299753917892774645983783471800000
528754540097476035170551666800000
528754540097476035170551666800000
929237145467601402549728762580000
1401003696243460576151898749736000
2144393412617541698191681759800000
2177271398905871369769269593992000
2230169149122243366119349030192000
9292371454676014025497287625800000
10035761171050095147537070635864000
10478739974642869514779955032272000
19184250745137577342962142195200000
21097467425783876911463887054848000
34836342382493941916308313503872000
59471177309926489763182640805120000
65875765635610880968448463661056000
95153883695882383621092225288192000
127719806330641953269583576806400000
139932181905709387678076801894400000
417112914831265243270541261537280000
483561175705129334133987288809472000
798012318971881447466886355746816000

²A₂(q) + A₂(q²)

1422894378997264647654272167700625
2845788757994529295308544335401250
11383155031978117181234177341605000
28457887579945292953085443354012500
56915775159890585906170886708025000
91065240255824937449873418732840000
182130480511649874899746837465680000
227663100639562343624683546832100000
728521922046599499598987349862720000

²D₆(q)

1057338480432144216088417635
687270012280893740457471462750
1442209687309444710744601654140
18748725935022781239679821503820
30844678151166511071731319248220
105839581891257636030450605263500
127832222284246235725089692071500
202827126024337360683808978086780
392281034948168961322531649926080
637456681790774562149113931129880
637456681790774562149113931129880
937436296751139061983991075191000
937436296751139061983991075191000
3749745187004556247935964300764000
4112623753488868142897509233096000
4112623753488868142897509233096000
5099653454326196497192911449039040
6299571914167654496532420025283520
11590121487104992039074798747816000
11590121487104992039074798747816000
20398613817304785988771645796156160
25105986236682813524642025595269120
25198287656670617986129680101134080
31584950426794507337452870910177280
40797227634609571977543291592312320
40797227634609571977543291592312320
59995922992072899966975428812224000
59995922992072899966975428812224000
59995922992072899966975428812224000
108379731856647819295181419789824000
130900195619068145382491844681216000
207694977048921457340220393560862720
307179125719413247830914195518586880
378066616270047074253432856022876160
720654840397450434793933596524544000
1135308548564598838813827696678666240

³D₄(q) + A₂(q)

33506147072149089034245027496875
201036882432894534205470164981250
268049176577192712273960219975000
871159823875876314890370714918750
1742319647751752629780741429837500
5226958943255257889342224289512500
6567204826141221450712025389387500
6969278591007010519122965719350000
10453917886510515778684448579025000
10855991651376304847095388908987500
13938557182014021038245931438700000
15680876829765773668026672868537500
39403228956847328704272152336325000
52537638609129771605696203115100000
55754228728056084152983725754800000
65135949908257829082572333453925000
86847933211010438776763111271900000
94085260978594642008160037211225000
125447014638126189344213382948300000
137241178407522668684267632627200000
334525372368336504917902354528800000
446033829824448673223869806038400000
823447070445136012105605795763200000
1097929427260181349474141061017600000

D₅(q)

755997013508983114503218609025
140615444512670859297598661278650
257038984593054258931094327068500
656205407725797343388793752633700
1593641704476936405372784827824700
4780925113430809216118354483474100
7030772225633542964879933063932500
10499286523612757494220700042139200
11155491931338554837609493794772900
17273019764653246200169538779003200
31872834089538728107455696556494000
38247400907446473728946835867792800
76494801814892947457893671735585600
112492355610136687438078929022920000
127491336358154912429822786225976000
178487870901416877401751900716366400
263207920223287561145440590918144000
407972276346095719775432915923123200
575960860723899839682964116597350400
792720324437195478273326956176998400

²D₅(q)

1183631687817094775232311963625
182279279923832595385776042398250
402434773857812223578986067632500
885356502487186891873769348791500
2656069507461560675621308046374500
6197495517410308243116385441540500
9113963996191629769288802119912500
12655390006140377336783879515078500
17707130049743737837475386975830000
27043616803244981424507863744904000
42497112119384970809940928741992000
49579964139282465944931083532324000
70828520198974951349901547903320000
99159928278564931889862167064648000
145823423939066076308620833918600000
202486240098246037388542072241256000
226651264636719844319684953290624000
412093208430399716944881733255680000
746615930568018310700138669663232000
1241127780684497971033996749570048000

²A₄(q) + A₁(q)

704260854251171391263225618356875
1408521708502342782526451236713750
7042608542511713912632256183568750
14085217085023427825264512367137500
30987477587051541215581927207702500
61974955174103082431163854415405000
84511302510140566951587074202825000
123949910348206164862327708830810000
169022605020281133903174148405650000
225363473360374845204232197874200000
247899820696412329724655417661620000
450726946720749690408464395748400000
721163114753199504653543033197440000
1442326229506399009307086066394880000

A₂(q) + A₁(q³)

9147178150696701306348892506646875

54883068904180207838093355039881250

73177425205573610450791140053175000

439064551233441662704746840319050000

585419401644588883606329120425400000

²A₃(q) + A₁(q²)

2788872982834638709402373448693225
11155491931338554837609493794772900
16733237897007832256414240692159350
55777459656692774188047468973864500
66932951588031329025656962768637400
66932951588031329025656962768637400
178487870901416877401751900716366400
223109838626771096752189875895458000
267731806352125316102627851074549600
713951483605667509607007602865465600

A₅(q)

19671350861713336142685790336875
1219623753426226840846519000886250
11566754306687441651899244718082500
14635485041114722090158228010635000
24392475068524536816930380017725000
117083880328917776721265824085080000
127470353583902418204603921382950000
195139800548196294535443040141800000
370136137813998132860775830978640000
624447361754228142513417728453760000
644590825036622598723527977758720000

A₃(q) + ²A₂(q)

1992052130596170506715981034780875
3984104261192341013431962069561750
15936417044769364053727848278247000
27888729828346387094023734486932250
39841042611923410134319620695617500
55777459656692774188047468973864500
79682085223846820268639241391235000
111554919313385548376094937947729000
127491336358154912429822786225976000
223109838626771096752189875895458000
223109838626771096752189875895458000
254982672716309824859645572451952000
318728340895387281074556965564940000
892439354507084387008759503581832000
1019930690865239299438582289807808000

²D₄(q) + A₁(q)

117179537093892382747998884398875
234359074187784765495997768797750
3984104261192341013431962069561750
7968208522384682026863924139123500
9843081115886960150831906289505500
19686162231773920301663812579011000
23904625567154046080591772417370500
23904625567154046080591772417370500
47809251134308092161183544834741000
47809251134308092161183544834741000
55777459656692774188047468973864500
55777459656692774188047468973864500
111554919313385548376094937947729000
111554919313385548376094937947729000
157489297854191362413310500632088000
254982672716309824859645572451952000
314978595708382724826621001264176000
479967383936583199735803430497792000
509965345432619649719291144903904000
959934767873166399471606860995584000

³D₄(q) + A₁(q)

182422356281700595853111816371875
364844712563401191706223632743750
4742981263324215492180907225668750
9485962526648430984361814451337500
9485962526648430984361814451337500
18971925053296861968723628902675000
35754781831213316787209916008887500
59104843435270993056408228504487500
71509563662426633574419832017775000
85373662739835878859256330062037500
118209686870541986112816457008975000
170747325479671757718512660124075000
303550800852749791499578062442800000
607101601705499582999156124885600000
747201971329845640614345999859200000
1494403942659691281228691999718400000

A₄(q)

839522490001507861831396794054375

25185674700045235854941903821631250

104100788760186974867093202462742500

235066297200422201312791102335225000

416403155040747899468372809850970000

805941590401447547358140922292200000

859671029761544050515350317111680000

²A₄(q)

1728640278616511596737008335966875

17286402786165115967370083359668750

76060172259126510256428366782542500

207436833433981391608441000316025000

304240689036506041025713467130170000

553164889157283710955842667509400000

1770127645303307875058696536030080000

²A₄(q)

1267669537652108504273806113042375

12676695376521085042738061130423750

55777459656692774188047468973864500

152120344518253020512856733565085000

223109838626771096752189875895458000

405654252048674721367617956173560000

1298093606555759108376377459755392000

A₁(q⁴)

58624233116679689133631206577201875

937987729866875026138099305235230000

A₁(q⁴)

66440797532236981018115367454162125

1063052760515791696289845879266594000

A₂(q) + ²A₂(q)

21343415684958969714814082515509375
42686831369917939429628165031018750
128060494109753818288884495093056250
170747325479671757718512660124075000
170747325479671757718512660124075000
256120988219507636577768990186112500
341494650959343515437025320248150000
1024483952878030546311075960744450000
1365978603837374061748101280992600000

²A₂(q²)

17376823969969671958584019180319325

208521887639636063503008230163831900

1112116734078059005349377227540436800

²A₂(q²)

20050181503811159952212329823445375

240602178045733919426547957881344500

1283211616243914236941589108700504000

³D₄(q)

378877201508147391387232234003125
9850807239211832176068038084081250
19701614478423664352136076168162500
74259931495596888711897517864612500
122756213288639754809463243817012500
177314530305812979169224685513462500
630451663309557259268354437381200000
1551881017377371715122103230476800000

³D₄(q)

234543029505043623239715192478125
6098118767131134204232595004431250
12196237534262268408465190008862500
45970433782988550154984177725712500
75991941559634133929667722362912500
109766137808360415676186710079762500
390279601096392589070886080283600000
960688248852658680789873428390400000

²D₄(q)

251099008058340820174283323711875
8537366273983587885925633006203750
21092316676900628894639799191797500
51224197643901527315553798037222500
51224197643901527315553798037222500
119523127835770230402958862086852500
119523127835770230402958862086852500
337477066830410062314236787068760000
546391441534949624699240512397040000
1028501537006963999433864493923840000

²D₄(q)

310181127601479836685879399879375
10546158338450314447319899595898750
26055214718524306281613869589867500
63276950030701886683919397575392500
63276950030701886683919397575392500
147646216738304402262478594342582500
147646216738304402262478594342582500
416883435496388900505821913437880000
674954133660820124628473574137520000
1270501898655661411065362021905920000

²A₂(q) + A₁(q)

95075215323908137820535458478178125

190150430647816275641070916956356250

380300861295632551282141833912712500

760601722591265102564283667825425000

1521203445182530205128567335650850000

A₂(q) + A₁(q)

64030247054876909144442247546528125

128060494109753818288884495093056250

384181482329261454866653485279168750

512241976439015273155537980372225000

768362964658522909733306970558337500

1024483952878030546311075960744450000

A₁(q³)

103433476011724237848714399882853125

827467808093793902789715199062825000

A₁(q³)

64030247054876909144442247546528125

512241976439015273155537980372225000

A₁(q) + A₁(q²)

110734662553728301696858945756936875

221469325107456603393717891513873750

442938650214913206787435783027747500

885877300429826413574871566055495000

²A₃(q)

19015043064781627564107091695635625

114090258388689765384642550173813750

380300861295632551282141833912712500

456361033554759061538570200695255000

1216962756146024164102853868520680000

A₃(q)

17928469175365534560443829313027875

250998568455117483846213610382390250

358569383507310691208876586260557500

1003994273820469935384854441529561000

1147422027223394211868405076033784000

²A₃(q)

17928469175365534560443829313027875

107570815052193207362662975878167250

358569383507310691208876586260557500

430283260208772829450651903512669000

1147422027223394211868405076033784000

A₃(q)

15819237507675471670979849393848125

221469325107456603393717891513873750

316384750153509433419596987876962500

885877300429826413574871566055495000

1012431200491230186942710361206280000

A₁(q²)

182176380330327206017413104309799375

728705521321308824069652417239197500

A₁(q) + A₁(q)

285225645971724413461606375434534375

570451291943448826923212750869068750

1140902583886897653846425501738137500

A₁(q) + A₁(q)

268927037630483018406657439695418125

537854075260966036813314879390836250

1075708150521932073626629758781672500

A₁(q²)

125499284227558741923106805191195125

501997136910234967692427220764780500

A₁(q²)

260652359549545079378760287704789875

1042609438198180317515041150819159500

A₁(q²)

268927037630483018406657439695418125

1075708150521932073626629758781672500

A₁(q) + A₁(q)

332203987661184905090576837270810625

664407975322369810181153674541621250

1328815950644739620362307349083242500

A₂(q)

130125985950233718583866503078428125

780755915701402311503199018470568750

1041007887601869748670932024627425000

²A₂(q)

95075215323908137820535458478178125

190150430647816275641070916956356250

760601722591265102564283667825425000

A₂(q)

165776941005092271620542257346490625

994661646030553629723253544078943750

1326215528040738172964338058771925000

A₂(q)

132985897729359734376918514135096875

797915386376158406261511084810581250

1063887181834877875015348113080775000

²A₂(q)

241344777360689888313666933059990625

482689554721379776627333866119981250

1930758218885519106509335464479925000

²A₂(q)

165130637141524660425140533146309375

330261274283049320850281066292618750

1321045097132197283401124265170475000

²A₂(q)

149403909794712788003698577608565625

298807819589425576007397155217131250

1195231278357702304029588620868525000

²A₂(q)

89642345876827672802219146565139375

179284691753655345604438293130278750

717138767014621382417753172521115000

²A₂(q)

184557770922880502828098242928228125

369115541845761005656196485856456250

1476462167383044022624785943425825000

A₁(q)

667023754752772840929898374047690625

1334047509505545681859796748095381250

A₁(q)

656682301190714347272070492279509375

1313364602381428694544140984559018750

A₁(q)

390377957850701155751599509235284375

780755915701402311503199018470568750

A₁(q)

855676937915173240384819126303603125

1711353875830346480769638252607206250

A₁(q)

724034332082069664941000799179971875

1448068664164139329882001598359943750

A₁(q)

192090741164630727433326742639584375

384181482329261454866653485279168750

A₁(q)

495391911424573981275421599438928125

990783822849147962550843198877856250

A₁(q)

448211729384138364011095732825696875

896423458768276728022191465651393750

A₁(q)

627496421137793709615534025955975625

1254992842275587419231068051911951250

A₁(q)

268927037630483018406657439695418125

537854075260966036813314879390836250

A₁(q)

332203987661184905090576837270810625

664407975322369810181153674541621250

A₀(q)

264449584350474976476889990127128125

A₀(q)

781957078648635238136280863114369625

A₀(q)

656682301190714347272070492279509375

A₀(q)

332203987661184905090576837270810625

A₀(q)

495391911424573981275421599438928125

A₀(q)

497330823015276814861626772039471875

A₀(q)

1486175734273721943826264798316784375

A₀(q)

1239688051516129036069713563474000625

A₀(q)

398957693188079203130755542405290625

A₀(q)

1054506433862267437320710707519378125

A₀(q)

855676937915173240384819126303603125

A₀(q)

1683020202389446704597955500080596875

A₀(q)

767782630093070853154958551396284375

A₀(q)

996611962983554715271730511812431875

A₀(q)

806781112891449055219972319086254375

A₀(q)

1303261797747725396893801438523949375

A₀(q)

930901284105518140638429598945678125

A₀(q)

667023754752772840929898374047690625

A₀(q)

1160438587035645901343795801425434375

A₀(q)

546529140990981618052239312929398125

A₀(q)

1540218488247311832692674427346485625

A₀(q)

711865687845396225194093222723165625

A₀(q)

1661019938305924525452884186354053125

A₀(q)

390377957850701155751599509235284375

Zuletzt geändert: Do 10.05.2007, 13:29:59 (UTC)

Conjugacy Classes and Character Degrees of E8(2)

Conjugacy Classes and Centralizer Orders

Character Degrees

Conjugacy Classes and Character Degrees of E₈(2)