Numbers of Regular Maps in each genus from 0 to 100

The tables below lists the numbers of regular maps in each orientable genus of 2-manifold from 0 (the sphere) to 101 (a sphere with 101 handles), and in each non-orientable genus of 2-manifold from 1 (the projective plane) to 202 (a sphere with 202 cross-caps).

A second table below presents the same data with the rows grouped in tens, for statistical purposes.

The data are from C09.

genus	orientable									non-orientable
	reflexible			chiral			all orientable			non-orientable
	dual pairs	self dual	total	dual pairs	self dual	total	dual pairs	self dual	total	dual pairs	self dual	total
0	∞	1	∞	0	0	0	∞	1	∞
1 1n	∞	∞	∞	∞	∞	∞	∞	∞	∞	∞	1	∞
2 2n	4	2	10	0	0	0	4	2	10	0	0	0
3 3n	8	4	20	0	0	0	8	4	20	0	0	0
4 4n	8	4	20	0	0	0	8	4	20	2	0	4
5 5n	10	6	26	0	0	0	10	6	26	2	2	6
6 6n	10	3	23	0	0	0	10	3	23	3	0	6
7 7n	9	3	21	2	0	4	11	3	25	2	0	4
8 8n	9	2	20	1	0	2	10	2	22	1	0	2
9 9n	20	12	52	0	0	0	20	12	52	3	0	6
10 10n	20	4	44	2	1	5	22	5	49	6	0	12
11 11n	10	4	24	3	3	9	13	7	33	1	1	3
12 12n	8	3	19	2	0	4	10	3	23	2	1	5
13 13n	17	5	39	0	0	0	17	5	39	2	0	4
14 14n	10	2	22	1	0	2	11	2	24	3	0	6
15 15n	19	4	42	1	0	2	20	4	44	1	0	2
16 16n	13	4	30	1	0	2	14	4	32	8	0	16
17 17n	27	13	67	3	1	7	30	14	74	3	1	7
18 18n	11	3	25	1	0	2	12	3	27	0	0	0
19 19n	25	10	60	1	1	3	26	11	63	1	0	2
20 20n	11	2	24	1	0	2	12	2	26	3	2	8
21 21n	31	9	71	6	4	16	37	13	87	1	0	2
22 22n	16	2	34	6	0	12	22	2	46	4	0	8
23 23n	8	3	19	0	0	0	8	3	19	3	0	6
24 24n	14	3	31	0	0	0	14	3	31	0	0	0
25 25n	32	12	76	3	1	7	35	13	83	3	0	6
26 26n	14	2	30	1	0	2	15	2	32	3	0	6
27 27n	14	4	32	5	3	13	19	7	45	0	0	0
28 28n	35	3	73	4	1	9	39	4	82	2	0	4
29 29n	26	6	58	3	0	6	29	6	64	6	0	12
30 30n	10	3	23	0	0	0	10	3	23	10	1	21
31 31n	18	6	42	3	3	9	21	9	51	1	0	2
32 32n	11	2	24	3	0	6	14	2	30	1	0	2
33 33n	58	26	142	3	2	8	61	28	150	2	0	4
34 34n	14	5	33	4	0	8	18	5	41	7	0	14
35 35n	17	3	37	5	3	13	22	6	50	2	1	5
36 36n	26	4	56	0	0	0	26	4	56	1	0	2
37 37n	42	13	97	2	1	5	44	14	102	6	1	13
38 38n	10	2	22	1	0	2	11	2	24	3	2	8
39 39n	17	4	38	1	0	2	18	4	40	0	0	0
40 40n	21	3	45	7	0	14	28	3	59	2	0	4
41 41n	57	15	129	17	9	43	74	24	172	4	0	8
42 42n	12	3	27	3	0	6	15	3	33	3	0	6
43 43n	22	5	49	10	0	20	32	5	69	1	0	2
44 44n	10	2	22	1	0	2	11	2	24	4	2	10
45 45n	37	7	81	2	0	4	39	7	85	1	0	2
46 46n	33	4	70	7	1	15	40	5	85	8	0	16
47 47n	10	3	23	0	0	0	10	3	23	6	0	12
48 48n	14	3	31	0	0	0	14	3	31	0	0	0
49 49n	80	27	187	7	2	16	87	29	203	4	0	8
50 50n	16	2	34	6	1	13	22	3	47	7	2	16
51 51n	28	7	63	12	8	32	40	15	95	1	0	2
52 52n	16	2	34	3	0	6	19	2	40	7	0	14
53 53n	23	5	51	9	4	22	32	9	73	2	0	4
54 54n	17	3	37	0	0	0	17	3	37	0	0	0
55 55n	48	9	105	5	4	14	53	13	119	1	0	2
56 56n	22	3	47	4	0	8	26	3	55	7	0	14
57 57n	60	12	132	3	0	6	63	12	138	5	1	11
58 58n	15	3	33	9	0	18	24	3	51	10	0	20
59 59n	8	3	19	6	3	15	14	6	34	0	0	0
60 60n	17	3	37	0	0	0	17	3	37	0	0	0
61 61n	28	9	65	11	6	28	39	15	93	3	0	6
62 62n	9	2	20	3	0	6	12	2	26	6	1	13
63 63n	22	4	48	2	0	4	24	4	52	0	0	0
64 64n	39	4	82	20	0	40	59	4	122	5	0	10
65 65n	98	44	240	12	6	30	110	50	270	5	1	11
66 66n	19	4	42	0	0	0	19	4	42	5	0	10
67 67n	19	5	43	3	0	6	22	5	49	1	0	2
68 68n	13	2	28	1	0	2	14	2	30	1	0	2
69 69n	44	8	96	5	4	14	49	12	110	1	0	2
70 70n	15	2	32	1	0	2	16	2	34	7	0	14
71 71n	18	3	39	10	3	23	28	6	62	0	0	0
72 72n	20	3	43	2	0	4	22	3	47	9	0	18
73 73n	98	22	218	9	1	19	107	23	237	4	0	8
74 74n	13	2	28	2	0	4	15	2	32	2	0	4
75 75n	26	4	56	5	3	13	31	7	69	0	0	0
76 76n	31	4	66	1	0	2	32	4	68	2	0	4
77 77n	40	5	85	4	0	8	44	5	93	3	1	7
78 78n	21	3	45	4	0	8	25	3	53	4	0	8
79 79n	17	4	38	13	3	29	30	7	67	2	0	4
80 80n	18	2	38	1	0	2	19	2	40	1	0	2
81 81n	151	30	332	29	12	70	180	42	402	3	0	6
82 82n	77	5	159	12	2	26	89	7	185	10	0	20
83 83n	15	3	33	4	3	11	19	6	44	3	1	7
84 84n	17	3	37	0	0	0	17	3	37	1	0	2
85 85n	62	14	138	14	0	28	76	14	166	3	0	6
86 86n	14	2	30	1	0	2	15	2	32	15	2	32
87 87n	15	4	34	4	0	8	19	4	42	0	0	0
88 88n	20	2	42	5	0	10	25	2	52	4	0	8
89 89n	58	14	130	4	1	9	62	15	139	2	0	4
90 90n	18	3	39	1	0	2	19	3	41	10	0	20
91 91n	51	20	122	17	10	44	68	30	166	1	0	2
92 92n	16	3	35	10	0	20	26	3	55	4	1	9
93 93n	29	6	64	6	0	12	35	6	76	4	0	8
94 94n	20	4	44	9	0	18	29	4	62	3	0	6
95 95n	17	3	37	0	0	0	17	3	37	0	0	0
96 96n	26	3	55	2	0	4	28	3	59	2	0	4
97 97n	139	45	323	20	4	44	159	49	367	8	0	16
98 98n	16	2	34	2	0	4	18	2	38	9	3	21
99 99n	36	7	79	2	0	4	38	7	83	0	0	0
100 100n	51	3	105	0	0	0	51	3	105	3	0	6
101 101n	42	14	98	21	10	52	63	24	150	11	1	23
102										1	0	2
103										1	0	2
104										4	0	8
105										2	0	4
106										18	0	36
107										1	0	2
108										0	0	0
109										3	0	6
110										5	2	12
111										0	0	0
112										8	2	18
113										3	0	6
114										10	0	20
115										1	0	2
116										3	0	6
117										1	0	2
118										2	0	4
119										5	2	12
120										0	0	0
121										7	0	14
122										6	2	14
123										0	0	0
124										4	0	8
125										2	0	4
126										1	0	2
127										1	0	2
128										2	0	4
129										3	0	6
130										14	0	28
131										0	0	0
132										2	0	4
133										3	0	6
134										12	0	24
135										0	0	0
136										4	0	8
137										11	0	22
138										0	0	0
139										1	0	2
140										1	0	2
141										2	0	4
142										19	0	38
143										0	0	0
144										1	0	2
145										10	1	21
146										13	1	27
147										1	0	2
148										3	0	6
149										3	0	6
150										6	0	12
151										1	0	2
152										5	0	10
153										2	0	4
154										14	0	28
155										7	0	14
156										6	0	12
157										4	0	8
158										2	0	4
159										0	0	0
160										4	0	8
161										4	0	8
162										16	1	33
163										1	0	2
164										9	0	18
165										1	0	2
166										6	0	12
167										5	0	10
168										0	0	0
169										5	0	10
170										21	0	42
171										0	0	0
172										5	0	10
173										6	1	13
174										4	0	8
175										1	0	2
176										2	0	4
177										11	0	22
178										9	0	18
179										0	0	0
180										1	0	2
181										4	0	8
182										15	3	33
183										0	0	0
184										8	0	16
185										2	0	4
186										4	0	8
187										1	0	2
188										2	0	4
189										1	0	2
190										10	0	20
191										11	4	26
192										1	0	2
193										6	0	12
194										5	0	10
195										0	0	0
196										5	0	10
197										6	1	13
198										10	0	20
199										1	0	2
200										23	4	50
201										3	0	6
202										12	0	24

Grouped version

	reflexible			chiral			all orientable			non-orientable
genus	orientable									non-orientable			Proportion of all that are non- orientable	Proportion of orientable that are chiral	Proportion of all that are self-dual
	dual pairs	self dual	total	dual pairs	self dual	total	dual pairs	self dual	total	dual pairs	self dual	total
2 ‒ 11	108	44	260	8	4	20	116	48	280	20	3	43	13%	7%	16%
12 ‒ 21	172	55	399	17	6	40	189	61	439	24	4	52	11%	9%	13%
22 ‒ 31	187	44	418	25	8	58	212	52	476	32	1	65	12%	12%	10%
32 ‒ 41	273	77	623	43	15	101	316	92	724	28	4	60	8%	14%	12%
42 ‒ 51	262	63	587	48	12	108	310	75	695	35	4	74	10%	16%	10%
52 ‒ 61	254	52	560	50	17	117	304	69	677	35	1	71	9%	17%	9%
62 ‒ 71	296	78	670	57	13	127	353	91	797	31	2	64	7%	16%	11%
72 ‒ 81	435	79	949	70	19	159	505	98	1108	30	1	61	5%	14%	8%
82 ‒ 91	347	70	764	62	16	140	409	86	904	49	3	101	10%	15%	9%
92 ‒ 101	392	90	874	72	14	158	464	104	1032	44	5	93	8%	15%	10%

Index to Regular Maps