User:Inthar/311edo

Consistent patent val readings

TODO: separate into more-in-tune-than-out-of-tune and more-out-of-tune-than-in-tune

Steps	Cents	Consistent patent val readings
1	3.858521	449/448
2	7.717042	224/223, 225/224
3	11.575563	150/149
4	15.434084	338/335
5	19.292605	90/89
6	23.151125	70/69, 78/77, 77/76, 76/75, 75/74, 74/73, 73/72
7	27.009646	63/62, 64/63, 65/64, 66/65, 69/68
8	30.868167	55/54, 56/55, 57/56, 58/57
9	34.726688	49/48, 50/49, 51/50, 52/51
10	38.585209	45/44, 46/45
11	42.443730	40/39, 41/40, 42/41
12	46.302251	37/36, 38/37, 39/38
13	50.160772	34/33, 35/34, 36/35
14	54.019293	32/31, 33/32
15	57.877814	30/29, 31/30
16	61.736334	28/27, 29/28
17	65.594855	27/26
18	69.453376	25/24, 26/25
19	73.311897	24/23
20	77.170418	23/22
21	81.028939	22/21
22	84.887460	21/20
23	88.745981	20/19
24	92.604502	19/18, 39/37
25	96.463023	37/35
26	100.321543	18/17, 35/33
27	104.180064	17/16
28	108.038585	33/31
29	111.897106	16/15
30	115.755627	31/29
31	119.614148	15/14
32	123.472669	29/27
33	127.331190	14/13
34	131.189711	69/64
35	135.048232	27/25, 40/37
36	138.906752	13/12
37	142.765273	25/23
38	146.623794	37/34
39	150.482315	12/11
40	154.340836	35/32
41	158.199357	23/21, 34/31
42	162.057878	45/41, 56/51
43	165.916399	11/10
44	169.774920	32/29
45	173.633441	21/19
46	177.491961	31/28
47	181.350482	10/9
48	185.209003	49/44
49	189.067524	29/26, 39/35
50	192.926045	19/17
51	196.784566	28/25
52	200.643087	55/49
53	204.501608	9/8
54	208.360129	35/31
55	212.218650	26/23
56	216.077170	17/15
57	219.935691	25/22, 42/37
58	223.794212	33/29
59	227.652733	73/64
60	231.511254	8/7
61	235.369775	55/48
62	239.228296	31/27, 39/34
63	243.086817	23/20
64	246.945338	15/13, 128/111
65	250.803859	37/32
66	254.662379	22/19
67	258.520900	29/25, 36/31
68	262.379421	64/55
69	266.237942	7/6
70	270.096463	90/77
71	273.954984	34/29, 41/35, 48/41, 75/64
72	277.813505	27/23
73	281.672026	20/17
74	285.530547	33/28, 46/39
75	289.389068	13/11
76	293.247588	32/27
77	297.106109	19/16
78	300.964630	25/21
79	304.823151	31/26, 37/31
80	308.681672	49/41, 55/46
81	312.540193	109/91
82	316.398714	6/5
83	320.257235	77/64
84	324.115756	35/29
85	327.974277	29/24
86	331.832797	23/19, 40/33
87	335.691318	17/14
88	339.549839	28/23, 73/60
89	343.408360	39/32, 50/41, 128/105
90	347.266881	11/9
91	351.125402	38/31
92	354.983923	27/22
93	358.842444	16/13
94	362.700965	37/30
95	366.559486	21/17
96	370.418006	26/21
97	374.276527	36/29, 41/33
98	378.135048	46/37, 51/41, 56/45
99	381.993569	96/77
100	385.852090	5/4
101	389.710611	124/99
102	393.569132	49/39, 64/51
103	397.427653	39/31, 44/35
104	401.286174	29/23
105	405.144695	24/19
106	409.003215	19/15
107	412.861736	33/26
108	416.720257	14/11
109	420.578778	39/29
110	424.437299	23/18
111	428.295820	41/32, 32/25
112	432.154341	77/60
113	436.012862	9/7
114	439.871383	49/38
115	443.729904	31/24
116	447.588424	22/17
117	451.446945	83/64
118	455.305466	13/10
119	459.163987	30/23
120	463.022508	17/13, 49/32
121	466.881029	55/42, 38/29
122	470.739550	21/16
123	474.598071	25/19
124	478.456592	29/22
125	482.315113	33/25
126	486.173633	45/34, 49/37
127	490.032154	85/64
128	493.890675	278/209
129	497.749196	4/3
130	501.607717	322/241, 163/122
131	505.466238	75/56
132	509.324759	51/38
133	513.183280	35/26, 39/29
134	517.041801	31/23
135	520.900322	27/20
136	524.758842	23/17
137	528.617363	19/14
138	532.475884	34/25, 49/36, 87/64
139	536.334405	15/11
140	540.192926	41/30
141	544.051447	26/19, 37/27
142	547.909968	48/35
143	551.768489	11/8
144	555.627010	29/21, 40/29, 51/37
145	559.485531	105/76
146	563.344051	18/13
147	567.202572	25/18, 68/49
148	571.061093	89/64, 32/23
149	574.919614	39/28, 46/33
150	578.778135	88/63
151	582.636656	7/5
152	586.495177	87/62
153	590.353698	45/32, 128/91
154	594.212219	31/22, 148/105
155	598.070740	24/17, 41/29
156	601.929260	17/12, 58/41
157	605.787781	44/31, 105/74
158	609.646302	64/45, 91/64
159	613.504823	124/87
160	617.363344	10/7
161	621.221865	63/44
162	625.080386	33/23, 56/39
163	628.938907	23/16, 128/89
164	632.797428	36/25, 49/34
165	636.655949	13/9
166	640.514469	152/105
167	644.372990	29/20, 42/29, 74/51
168	648.231511	16/11, 93/64
169	652.090032	35/24
170	655.948553	19/13, 54/37
171	659.807074	60/41
172	663.665595	22/15
173	667.524116	25/17, 72/49, 128/87
174	671.382637	28/19
175	675.241158	34/23
176	679.099678	40/27
177	682.958199	46/31
178	686.816720	52/35, 58/39
179	690.675241	76/51
180	694.533762	112/75
181	698.392283	241/161, 244/163
182	702.250804	3/2
183	706.109325	209/139
184	709.967846	128/85
185	713.826367	68/45, 74/49
186	717.684887	50/33
187	721.543408	97/64
188	725.401929	38/25
189	729.260450	32/21
190	733.118971	84/55
191	736.977492	49/32, 26/17
192	740.836013	23/15
193	744.694534	20/13
194	748.553055	128/83
195	752.411576	17/11
196	756.270096	99/64
197	760.128617	48/31
198	763.987138	14/9
199	767.845659	120/77
200	771.704180	25/16
201	775.562701	36/23
202	779.421222	58/39
203	783.279743	11/7
204	787.138264	52/33
205	790.996785	30/19
206	794.855305	19/12
207	798.713826	46/29
208	802.572347	35/22, 62/39
209	806.430868	51/32, 78/49
210	810.289389	99/62
211	814.147910	8/5
212	818.006431	77/48
213	821.864952	37/23, 82/51, 45/28
214	825.723473	29/18, 66/41
215	829.581994	21/13
216	833.440514	34/21, 55/34, 89/55, 144/89
217	837.299035	60/37
218	841.157556	13/8
219	845.016077	44/27
220	848.874598	31/19
221	852.733119	18/11
222	856.591640	41/25, 64/39, 105/64
223	860.450161	23/14, 120/73
224	864.308682	28/17
225	868.167203	32/20, 38/23
226	872.025723	48/29
227	875.884244	58/35
228	879.742765	123/74, 128/77
229	883.601286	5/3
230	887.459807	182/109
231	891.318328	82/49, 92/55
232	895.176849	52/31, 62/37
233	899.035370	42/25
234	902.893891	32/19, 219/130
235	906.752412	27/16
236	910.610932	22/13
237	914.469453	39/23, 56/33
238	918.327974	17/10
239	922.186495	109/64
240	926.045016	29/17, 70/41, 41/24, 128/75
241	929.903537	65/38, 77/45
242	933.762058	12/7
243	937.620579	55/32
244	941.479100	50/29, 31/18
245	945.337621	19/11
246	949.196141	64/37
247	953.054662	26/15, 111/64
248	956.913183	40/23
249	960.771704	54/31, 68/39
250	964.630225	96/55
251	968.488746	7/4
252	972.347267	128/73
253	976.205788	58/33
254	980.064309	37/21, 44/25
255	983.922830	30/17, 113/64
256	987.781350	23/13
257	991.639871	62/35
258	995.498392	16/9
259	999.356913	98/55, 57/32
260	1003.215434	25/14
261	1007.073955	34/19
262	1010.932476	52/29, 70/39
263	1014.790997	88/49, 115/64
264	1018.649518	9/5
265	1022.508039	56/31
266	1026.366559	38/21
267	1030.225080	29/16
268	1034.083601	20/11
269	1037.942122	51/28, 82/45
270	1041.800643	31/17, 42/23
271	1045.659164	64/35, 117/64
272	1049.517685	11/6
273	1053.376206	68/37
274	1057.234727	46/25
275	1061.093248	24/13
276	1064.951768	37/20, 50/27
277	1068.810289	128/69
278	1072.668810	13/7, 119/64
279	1076.527331	54/29
280	1080.385852	28/15
281	1084.244373	58/31
282	1088.102894	15/8
283	1091.961415	62/33
284	1095.819936	32/17
285	1099.678457	17/9, 66/35
286	1103.536977	70/37, 121/64
287	1107.395498	36/19, 74/39
288	1111.254019	19/10
289	1115.112540	40/21
290	1118.971061	21/11
291	1122.829582	44/23
292	1126.688103	23/13
293	1130.546624	48/25, 25/13, 123/64
294	1134.405145	52/27
295	1138.263666	27/14, 56/29
296	1142.122186	29/15, 60/31
297	1145.980707	31/16, 64/33
298	1149.839228	33/17, 68/35, 35/18
299	1153.697749	72/37, 37/19, 76/39
300	1157.556270	39/20, 80/41, 41/21, 125/64
301	1161.414791	88/45, 45/23
302	1165.273312	96/49, 49/25, 100/51, 51/26
303	1169.131833	108/55, 55/28, 112/57, 57/29
304	1172.990354	124/63, 63/32, 128/65, 65/33
305	1176.848875	148/75
306	1180.707395	89/45
307	1184.565916	335/169
308	1188.424437	149/75
309	1192.282958	223/112, 448/225
310	1196.141479	896/449

Mapping of the 41-prime-limited add-73 77-odd-limit

	311edo mapping	MITTOOT? (Error < 1\1244 = 0.964630¢?)
78/77	6	TRUE
77/76	6	TRUE
76/75	6	TRUE
75/74	6	TRUE
74/73	6	TRUE
73/72	6	TRUE
70/69	6	FALSE
69/68	7	FALSE
66/65	7	TRUE
65/64	7	TRUE
64/63	7	TRUE
63/62	7	TRUE
58/57	8	TRUE
57/56	8	TRUE
56/55	8	TRUE
55/54	8	TRUE
52/51	9	FALSE
51/50	9	TRUE
50/49	9	TRUE
49/48	9	FALSE
46/45	10	TRUE
45/44	10	TRUE
42/41	11	TRUE
41/40	11	TRUE
40/39	11	FALSE
39/38	12	FALSE
77/75	12	TRUE
38/37	12	TRUE
75/73	12	TRUE
37/36	12	FALSE
36/35	13	FALSE
35/34	13	TRUE
34/33	13	FALSE
33/32	14	TRUE
65/63	14	TRUE
32/31	14	TRUE
31/30	15	FALSE
30/29	15	TRUE
29/28	16	FALSE
57/55	16	TRUE
28/27	16	FALSE
27/26	17	TRUE
80/77	17	TRUE
26/25	18	FALSE
77/74	18	TRUE
51/49	18	TRUE
76/73	18	TRUE
25/24	18	FALSE
73/70	19	TRUE
24/23	19	TRUE
23/22	20	TRUE
68/65	20	TRUE
22/21	21	TRUE
65/62	21	TRUE
21/20	22	TRUE
41/39	22	FALSE
20/19	23	TRUE
39/37	24	FALSE
58/55	24	TRUE
77/73	24	TRUE
19/18	24	FALSE
37/35	25	TRUE
55/52	25	TRUE
73/69	25	FALSE
18/17	26	FALSE
35/33	26	FALSE
52/49	27	FALSE
69/65	27	TRUE
17/16	27	TRUE
33/31	28	TRUE
82/77	28	TRUE
49/46	28	FALSE
16/15	29	TRUE
78/73	30	FALSE
31/29	30	TRUE
77/72	30	TRUE
15/14	31	TRUE
74/69	31	FALSE
44/41	32	FALSE
73/68	32	TRUE
29/27	32	TRUE
14/13	33	FALSE
69/64	34	TRUE
55/51	34	TRUE
41/38	34	TRUE
68/63	34	FALSE
27/25	35	FALSE
40/37	35	TRUE
13/12	36	TRUE
38/35	37	TRUE
63/58	37	TRUE
25/23	37	FALSE
62/57	38	FALSE
37/34	38	TRUE
49/45	38	TRUE
12/11	39	TRUE
82/75	40	TRUE
35/32	40	TRUE
23/21	41	TRUE
80/73	41	TRUE
57/52	41	TRUE
34/31	41	FALSE
45/41	42	TRUE
56/51	42	TRUE
11/10	43	TRUE
76/69	43	FALSE
54/49	44	FALSE
75/68	44	TRUE
32/29	44	TRUE
21/19	45	TRUE
73/66	45	TRUE
31/28	46	FALSE
72/65	46	TRUE
41/37	46	TRUE
51/46	46	FALSE
10/9	47	FALSE
69/62	48	TRUE
49/44	48	FALSE
39/35	49	FALSE
29/26	49	TRUE
77/69	49	TRUE
19/17	50	TRUE
28/25	51	TRUE
65/58	51	TRUE
37/33	51	FALSE
46/41	52	FALSE
55/49	52	TRUE
64/57	52	TRUE
73/65	52	TRUE
82/73	52	TRUE
9/8	53	TRUE
62/55	54	TRUE
44/39	54	TRUE
35/31	54	FALSE
26/23	55	TRUE
77/68	56	TRUE
17/15	56	TRUE
42/37	57	TRUE
25/22	57	FALSE
58/51	58	FALSE
33/29	58	TRUE
74/65	58	TRUE
41/36	58	FALSE
57/50	59	TRUE
65/57	59	TRUE
73/64	59	TRUE
8/7	60	TRUE
63/55	61	TRUE
55/48	61	TRUE
39/34	62	FALSE
31/27	62	TRUE
23/20	63	FALSE
84/73	63	TRUE
38/33	63	FALSE
15/13	64	TRUE
52/45	65	TRUE
37/32	65	TRUE
22/19	66	TRUE
73/63	66	TRUE
51/44	66	TRUE
80/69	66	FALSE
29/25	67	FALSE
65/56	67	TRUE
36/31	67	TRUE
57/49	68	TRUE
64/55	68	TRUE
7/6	69	TRUE
90/77	70	TRUE
76/65	70	TRUE
48/41	71	FALSE
41/35	71	TRUE
75/64	71	TRUE
34/29	71	FALSE
88/75	72	FALSE
27/23	72	TRUE
74/63	72	TRUE
20/17	73	TRUE
73/62	73	FALSE
33/28	74	FALSE
46/39	74	TRUE
13/11	75	TRUE
58/49	76	FALSE
45/38	76	TRUE
77/65	76	TRUE
32/27	76	TRUE
19/16	77	TRUE
82/69	77	FALSE
44/37	78	FALSE
69/58	78	TRUE
25/21	78	TRUE
31/26	79	TRUE
68/57	79	TRUE
37/31	79	FALSE
92/77	80	TRUE
49/41	80	TRUE
55/46	80	TRUE
6/5	82	TRUE
77/64	83	TRUE
65/54	83	TRUE
88/73	84	TRUE
41/34	84	TRUE
76/63	84	TRUE
35/29	84	FALSE
29/24	85	TRUE
75/62	85	FALSE
23/19	86	FALSE
63/52	86	TRUE
40/33	86	FALSE
17/14	87	TRUE
62/51	88	FALSE
45/37	88	TRUE
73/60	88	TRUE
28/23	88	FALSE
39/32	89	TRUE
50/41	89	TRUE
11/9	90	TRUE
60/49	91	TRUE
49/40	91	TRUE
38/31	91	FALSE
92/75	92	FALSE
27/22	92	TRUE
70/57	92	TRUE
16/13	93	TRUE
69/56	94	FALSE
90/73	94	TRUE
37/30	94	TRUE
21/17	95	TRUE
68/55	95	TRUE
26/21	96	TRUE
57/46	96	TRUE
31/25	97	FALSE
36/29	97	TRUE
77/62	97	TRUE
41/33	97	FALSE
46/37	98	FALSE
51/41	98	TRUE
56/45	98	TRUE
96/77	99	TRUE
5/4	100	TRUE
69/55	102	FALSE
64/51	102	TRUE
49/39	102	FALSE
44/35	103	FALSE
39/31	103	TRUE
73/58	103	TRUE
34/27	103	FALSE
63/50	104	FALSE
92/73	104	TRUE
29/23	104	TRUE
82/65	104	TRUE
24/19	105	TRUE
62/49	106	FALSE
19/15	106	TRUE
52/41	107	FALSE
33/26	107	TRUE
80/63	107	TRUE
14/11	108	TRUE
65/51	109	TRUE
51/40	109	TRUE
88/69	109	TRUE
37/29	109	FALSE
23/18	110	TRUE
32/25	111	TRUE
73/57	111	TRUE
41/32	111	TRUE
50/39	111	FALSE
77/60	112	TRUE
9/7	113	TRUE
58/45	114	TRUE
49/38	114	TRUE
40/31	114	FALSE
31/24	115	TRUE
84/65	115	TRUE
75/58	115	FALSE
22/17	116	FALSE
57/44	116	TRUE
35/27	116	FALSE
48/37	117	TRUE
74/57	117	TRUE
100/77	117	FALSE
13/10	118	FALSE
82/63	118	FALSE
73/56	119	TRUE
30/23	119	TRUE
64/49	120	TRUE
98/75	120	TRUE
17/13	120	FALSE
72/55	121	TRUE
55/42	121	TRUE
38/29	121	FALSE
21/16	122	TRUE
46/35	123	FALSE
96/73	123	TRUE
25/19	123	TRUE
54/41	124	FALSE
29/22	124	TRUE
33/25	125	FALSE
37/28	125	TRUE
41/31	125	FALSE
45/34	126	TRUE
49/37	126	TRUE
102/77	126	TRUE
65/49	127	TRUE
69/52	127	TRUE
73/55	127	TRUE
77/58	127	TRUE
4/3	129	TRUE
75/56	131	TRUE
55/41	132	TRUE
51/38	132	TRUE
98/73	132	TRUE
39/29	133	TRUE
74/55	133	TRUE
35/26	133	FALSE
66/49	134	FALSE
31/23	134	TRUE
27/20	135	FALSE
104/77	135	TRUE
77/57	135	TRUE
50/37	135	TRUE
73/54	135	FALSE
23/17	136	FALSE
88/65	136	TRUE
65/48	136	TRUE
42/31	136	FALSE
19/14	137	TRUE
34/25	138	TRUE
49/36	138	FALSE
15/11	139	TRUE
56/41	140	TRUE
41/30	140	TRUE
26/19	141	FALSE
63/46	141	TRUE
100/73	141	TRUE
37/27	141	FALSE
48/35	142	FALSE
70/51	142	TRUE
11/8	143	TRUE
62/45	144	TRUE
51/37	144	TRUE
40/29	144	FALSE
69/50	145	FALSE
29/21	145	TRUE
76/55	145	TRUE
18/13	146	TRUE
104/75	147	FALSE
68/49	147	TRUE
25/18	147	FALSE
57/41	148	TRUE
32/23	148	TRUE
39/28	149	FALSE
46/33	149	TRUE
88/63	150	TRUE
102/73	150	TRUE
7/5	151	TRUE
108/77	152	TRUE
80/57	152	TRUE
73/52	152	TRUE
52/37	153	FALSE
45/32	153	TRUE
38/27	153	FALSE
69/49	154	FALSE
31/22	154	TRUE
55/39	154	TRUE
24/17	155	FALSE
65/46	155	TRUE
41/29	155	FALSE
58/41	156	FALSE
92/65	156	TRUE
17/12	156	FALSE
78/55	157	TRUE
44/31	157	TRUE
98/69	157	FALSE
27/19	158	FALSE
64/45	158	TRUE
37/26	158	FALSE
104/73	159	TRUE
57/40	159	TRUE
77/54	159	TRUE
10/7	160	TRUE
73/51	161	TRUE
63/44	161	TRUE
33/23	162	TRUE
56/39	162	FALSE
23/16	163	TRUE
82/57	163	TRUE
36/25	164	FALSE
49/34	164	TRUE
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8/5	211	TRUE
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92/57	215	TRUE
21/13	215	TRUE
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5/3	229	TRUE
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56/33	237	FALSE
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96/55	250	TRUE
110/63	250	TRUE
7/4	251	TRUE
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44/25	254	FALSE
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136/77	255	TRUE
23/13	256	TRUE
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57/32	259	TRUE
98/55	259	TRUE
41/23	259	FALSE
66/37	260	FALSE
116/65	260	TRUE
25/14	260	TRUE
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138/77	262	TRUE
52/29	262	TRUE
70/39	262	FALSE
88/49	263	FALSE
124/69	263	TRUE
9/5	264	FALSE
92/51	265	FALSE
74/41	265	TRUE
65/36	265	TRUE
56/31	265	FALSE
132/73	266	TRUE
38/21	266	TRUE
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136/75	267	TRUE
49/27	267	FALSE
69/38	268	FALSE
20/11	268	TRUE
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31/17	270	FALSE
104/57	270	TRUE
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42/23	270	TRUE
64/35	271	TRUE
75/41	271	TRUE
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57/31	273	FALSE
46/25	274	FALSE
116/63	274	TRUE
35/19	274	TRUE
24/13	275	TRUE
37/20	276	TRUE
50/27	276	FALSE
63/34	277	FALSE
76/41	277	TRUE
102/55	277	TRUE
128/69	277	TRUE
13/7	278	FALSE
54/29	279	TRUE
136/73	279	TRUE
41/22	279	FALSE
69/37	280	FALSE
28/15	280	TRUE
144/77	281	TRUE
58/31	281	TRUE
73/39	281	FALSE
15/8	282	TRUE
92/49	283	FALSE
77/41	283	TRUE
62/33	283	TRUE
32/17	284	TRUE
130/69	284	TRUE
49/26	284	FALSE
66/35	285	FALSE
17/9	285	FALSE
138/73	286	FALSE
104/55	286	TRUE
70/37	286	TRUE
36/19	287	FALSE
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55/29	287	TRUE
74/39	287	FALSE
19/10	288	TRUE
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40/21	289	TRUE
124/65	290	TRUE
21/11	290	TRUE
65/34	291	TRUE
44/23	291	TRUE
23/12	292	TRUE
140/73	292	TRUE
48/25	293	FALSE
73/38	293	TRUE
98/51	293	TRUE
148/77	293	TRUE
25/13	293	FALSE
77/40	294	TRUE
52/27	294	TRUE
27/14	295	FALSE
110/57	295	TRUE
56/29	295	FALSE
29/15	296	TRUE
60/31	296	FALSE
31/16	297	TRUE
126/65	297	TRUE
64/33	297	TRUE
33/17	298	FALSE
68/35	298	TRUE
35/18	298	FALSE
72/37	299	FALSE
146/75	299	TRUE
37/19	299	TRUE
150/77	299	TRUE
76/39	299	FALSE
39/20	300	FALSE
80/41	300	TRUE
41/21	300	TRUE
88/45	301	TRUE
45/23	301	TRUE
96/49	302	FALSE
49/25	302	TRUE
100/51	302	TRUE
51/26	302	FALSE
108/55	303	TRUE
55/28	303	TRUE
112/57	303	TRUE
57/29	303	TRUE
124/63	304	TRUE
63/32	304	TRUE
128/65	304	TRUE
65/33	304	TRUE
136/69	304	FALSE
69/35	305	FALSE
144/73	305	TRUE
73/37	305	TRUE
148/75	305	TRUE
75/38	305	TRUE
152/77	305	TRUE
77/39	305	TRUE
2/1	311	TRUE