Slope sequences for p=23

This table records, for even weights k, the first half of the sequence of slopes for the U operator acting on oldforms of weight k, level p, and trivial character. There are no exceptional slopes in this table.

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
Fernando Q. Gouvêa ---- fqgouvea@colby.edu
Last modified: Sat May 27 16:31:19 Eastern Daylight Time 2000