Slope sequences for p = 29

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 0
28 0, 0
30 0, 0
32 1, 1
34 1, 1
36 1, 1, 1
38 1, 1
40 0, 1, 1
42 1, 1, 1
44 0, 1, 1
46 0, 1, 1
48 0, 1, 1, 1
50 0, 1, 1
52 0, 0, 1, 1
54 0, 1, 1, 1
56 0, 0, 1, 1
58 0, 0, 1, 1
60 1, 1, 1, 1, 1
62 1, 1, 2, 2
64 1, 1, 1, 2, 2
66 1, 1, 2, 2, 2
68 0, 1, 1, 2, 2
70 1, 1, 1, 2, 2
72 0, 1, 1, 2, 2, 2
74 0, 1, 1, 2, 2
76 0, 1, 1, 1, 2, 2
78 0, 1, 1, 2, 2, 2
80 0, 0, 1, 1, 2, 2
82 0, 1, 1, 1, 2, 2
84 0, 0, 1, 1, 2, 2, 2
86 0, 0, 1, 1, 2, 2
88 1, 1, 1, 1, 1, 1, 1
90 1, 1, 2, 2, 2, 2, 2
92 1, 1, 1, 2, 2, 3, 3
94 1, 1, 2, 2, 2, 3, 3
96 0, 1, 1, 2, 2, 3, 3, 3
98 1, 1, 1, 2, 2, 3, 3
100 0, 1, 1, 2, 2, 2, 3, 3
102 0, 1, 1, 2, 2, 3, 3, 3
104 0, 1, 1, 1, 2, 2, 3, 3
106 0, 1, 1, 2, 2, 2, 3, 3
108 0, 0, 1, 1, 2, 2, 3, 3, 3
110 0, 1, 1, 1, 2, 2, 3, 3
112 0, 0, 1, 1, 2, 2, 2, 3, 3
114 0, 0, 1, 1, 2, 2, 3, 3, 3
116 1, 1, 1, 1, 1, 1, 1, 3, 3
118 1, 1, 2, 2, 2, 2, 2, 2, 2
120 1, 1, 1, 2, 2, 3, 3, 3, 3, 3
122 1, 1, 2, 2, 2, 3, 3, 4, 4
124 0, 1, 1, 2, 2, 3, 3, 3, 4, 4
126 1, 1, 1, 2, 2, 3, 3, 4, 4, 4
128 0, 1, 1, 2, 2, 2, 3, 3, 4, 4
130 0, 1, 1, 2, 2, 3, 3, 3, 4, 4
132 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4
134 0, 1, 1, 2, 2, 2, 3, 3, 4, 4
136 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4
138 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4
140 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4
142 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4
144 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4
146 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3
148 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3
150 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4
152 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5
154 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5
156 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5
158 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5
160 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5
162 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5
164 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5
166 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5
168 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5
170 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5
172 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5
174 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5
176 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4
178 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4
180 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5
182 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6
184 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6
186 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6
188 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6
190 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6
192 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6
194 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6
196 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6
198 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6
200 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6
202 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6
204 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5
206 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5
208 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5
210 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6
212 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7
214 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7
216 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7
218 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7
220 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7
222 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7
224 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7
226 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7
228 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7
230 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7
232 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7
234 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6
236 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6
238 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6
240 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7
242 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8
244 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8
246 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8
248 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8
250 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8
252 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8
254 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8
256 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8
258 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8
260 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8
262 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7
264 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7
266 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7
268 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7
270 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8
272 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9
274 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9
276 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9
278 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9
280 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9
282 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9
284 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9
286 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9
288 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9
290 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9
292 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8
294 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
296 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8
298 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8
300 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9
302 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10
304 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10
306 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10
308 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10
310 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10
312 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10
314 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10
316 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10
318 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10
320 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9
322 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9
324 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9
326 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9
328 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9
330 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10
332 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11
334 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11
336 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11
338 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11
340 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11
342 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11
344 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11
346 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 11, 11
348 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 11, 11, 11
350 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10
352 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10
354 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10
356 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10
358 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10
360 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11
362 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12
364 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12
366 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12
368 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12
370 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12
372 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12
374 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 11, 11, 12, 12
376 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 11, 11, 11, 12, 12
378 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11
380 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11
382 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11
384 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11
386 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11
388 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11
390 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12
392 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13
394 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13
396 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13
398 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13
400 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13
402 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13
404 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 11, 11, 11, 12, 12, 13, 13
406 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 13, 13
408 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12
410 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12
412 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12
414 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12
416 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12
418 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12
420 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13
422 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14
424 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14
426 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14
428 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14
430 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14
432 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14
434 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 13, 13, 14, 14
436 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13
438 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13
440 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13
442 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13
444 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13
446 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13
448 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13
450 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14
452 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15
454 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15
456 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15
458 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15
460 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15
462 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 13, 13, 14, 14, 15, 15, 15
464 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 15, 15
466 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14
468 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14
470 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14
472 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14
474 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14
476 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 14
478 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 14
480 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 15, 15
482 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16
484 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16
486 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16
488 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16
490 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 13, 13, 14, 14, 15, 15, 15, 16, 16
492 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 15, 15, 16, 16, 16
494 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15
496 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15
498 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15
500 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15
Brian Hwang (bhwang at caltech dot edu)
Last modified: Sat Oct 01, 2011 00:04:42 PDT