This table records, for even weights k, the first half of the sequence of slopes (in ascending order) of the U operator acting on oldforms of weight k, level p, and trivial character.
Weight (k) | Slope Sequence |
12 | 0 |
16 | 0 |
18 | 0 |
20 | 0 |
22 | 0 |
24 | 0, 0 |
26 | 1 |
28 | 1, 1 |
30 | 1, 1 |
32 | 1, 1 |
34 | 0, 1 |
36 | 1, 1, 1 |
38 | 0, 1 |
40 | 0, 1, 1 |
42 | 0, 1, 1 |
44 | 0, 1, 1 |
46 | 0, 0, 1 |
48 | 1, 1, 1, 1 |
50 | 1, 1, 2 |
52 | 1, 1, 2, 2 |
54 | 1, 1, 2, 2 |
56 | 0, 1, 2, 2 |
58 | 1, 1, 1, 2 |
60 | 0, 1, 2, 2, 2 |
62 | 0, 1, 1, 2 |
64 | 0, 1, 1, 2, 2 |
66 | 0, 1, 1, 2, 2 |
68 | 0, 0, 1, 2, 2 |
70 | 1, 1, 1, 1, 1 |
72 | 1, 1, 2, 2, 2, 2 |
74 | 1, 1, 2, 2, 3 |
76 | 1, 1, 2, 2, 3, 3 |
78 | 0, 1, 2, 2, 3, 3 |
80 | 1, 1, 1, 2, 3, 3 |
82 | 0, 1, 2, 2, 2, 3 |
84 | 0, 1, 1, 2, 3, 3, 3 |
86 | 0, 1, 1, 2, 2, 3 |
88 | 0, 1, 1, 2, 2, 3, 3 |
90 | 0, 0, 1, 2, 2, 3, 3 |
92 | 1, 1, 1, 1, 1, 3, 3 |
94 | 1, 1, 2, 2, 2, 2, 2 |
96 | 1, 1, 2, 2, 3, 3, 3, 3 |
98 | 1, 1, 2, 2, 3, 3, 4 |
100 | 0, 1, 2, 2, 3, 3, 4, 4 |
102 | 1, 1, 1, 2, 3, 3, 4, 4 |
104 | 0, 1, 2, 2, 2, 3, 4, 4 |
106 | 0, 1, 1, 2, 3, 3, 3, 4 |
108 | 0, 1, 1, 2, 2, 3, 4, 4, 4 |
110 | 0, 1, 1, 2, 2, 3, 3, 4 |
112 | 0, 0, 1, 2, 2, 3, 3, 4, 4 |
114 | 1, 1, 1, 1, 1, 3, 3, 4, 4 |
116 | 1, 1, 2, 2, 2, 2, 2, 3, 3 |
118 | 1, 1, 2, 2, 3, 3, 3, 3, 3 |
120 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4 |
122 | 0, 1, 2, 2, 3, 3, 4, 4, 5 |
124 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5 |
126 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5 |
128 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5 |
130 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5 |
132 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5 |
134 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5 |
136 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5 |
138 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5 |
140 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4 |
142 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4 |
144 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5 |
146 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6 |
148 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6 |
150 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6 |
152 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6 |
154 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6 |
156 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6 |
158 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6 |
160 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6 |
162 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5 |
164 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5 |
166 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5 |
168 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6 |
170 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7 |
172 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7 |
174 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7 |
176 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7 |
178 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7 |
180 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7 |
182 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7 |
184 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7 |
186 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6 |
188 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6 |
190 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6 |
192 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7 |
194 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8 |
196 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8 |
198 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8 |
200 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8 |
202 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8 |
204 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8 |
206 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8 |
208 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7 |
210 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7 |
212 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7 |
214 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7 |
216 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8 |
218 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9 |
220 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9 |
222 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9 |
224 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9 |
226 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9 |
228 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9 |
230 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9 |
232 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8 |
234 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8 |
236 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8 |
238 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8 |
240 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9 |
242 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10 |
244 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10 |
246 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10 |
248 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10 |
250 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10 |
252 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10 |
254 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9 |
256 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9 |
258 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9 |
260 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9 |
262 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9 |
264 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10 |
266 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11 |
268 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11 |
270 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11 |
272 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11 |
274 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11 |
276 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11 |
278 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10 |
280 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10 |
282 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10 |
284 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10 |
286 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10 |
288 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11 |
290 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12 |
292 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12 |
294 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12 |
296 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12 |
298 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12 |
300 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11 |
302 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11 |
304 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11 |
306 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11 |
308 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11 |
310 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11 |
312 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12 |
314 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13 |
316 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13 |
318 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13 |
320 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13 |
322 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13 |
324 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12 |
326 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12 |
328 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12 |
330 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12 |
332 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12 |
334 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12 |
336 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13 |
338 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14 |
340 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14 |
342 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14 |
344 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14 |
346 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13 |
348 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13 |
350 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13 |
352 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13 |
354 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13 |
356 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13 |
358 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13 |
360 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14 |
362 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15 |
364 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15 |
366 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15 |
368 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15 |
370 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 14 |
372 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14 |
374 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14 |
376 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14 |
378 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14 |
380 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14 |
382 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 14 |
384 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15 |
386 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16 |
388 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15, 16, 16 |
390 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15, 16, 16 |
392 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15 |
394 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 15 |
396 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 15 |
398 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15 |
400 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15 |
402 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15 |
404 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15 |
406 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15 |
408 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16 |
410 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15, 16, 16, 17 |
412 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15, 16, 16, 17, 17 |
414 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15, 17, 17 |
416 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 15, 16, 16 |
418 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 15, 16 |
420 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 16 |
422 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16 |
424 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 16, 16 |
426 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16 |
428 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16 |
430 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 16 |
432 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17 |
434 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15, 16, 16, 17, 17, 18 |
436 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15, 17, 17, 18, 18 |
438 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 15, 16, 16, 17, 17 |
440 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 15, 16, 17, 17 |
442 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 16, 17 |
444 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 17 |
446 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17 |
448 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17 |
450 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 17 |
452 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 16, 17, 17 |
454 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17 |
456 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18 |
458 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15, 17, 17, 18, 18, 19 |
460 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19, 19 |
462 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 15, 16, 17, 17, 18, 18 |
464 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 16, 17, 18, 18 |
466 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 17, 18 |
468 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 18, 18, 18 |
470 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 18 |
472 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 17, 18, 18 |
474 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 16, 17, 17, 18, 18 |
476 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 18, 18 |
478 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18, 18 |
480 | 0, 1, 1, 2, 3, 3, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 13, 14, 15, 15, 17, 17, 18, 18, 19, 19, 19, 19 |
482 | 0, 1, 1, 2, 2, 3, 4, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19, 19, 20 |
484 | 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 15, 16, 17, 17, 18, 18, 19, 19 |
486 | 0, 0, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 16, 17, 18, 18, 19, 19 |
488 | 1, 1, 1, 1, 1, 3, 3, 4, 4, 5, 5, 6, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 17, 17, 17, 18, 19, 19 |
490 | 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 18, 18, 18, 19 |
492 | 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 9, 9, 9, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 18, 19, 19, 19 |
494 | 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19 |
496 | 0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 11, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 16, 17, 17, 18, 18, 19, 19 |
498 | 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 11, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 18, 18, 19, 19 |
500 | 0, 1, 2, 2, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18, 18, 19, 19 |