Slope sequences for p=13

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
120
16 1
18 1
20 1
22 1
24 0, 1
26 1
28 1, 1
30 1, 2
32 1, 2
34 1, 2
36 0, 1, 2
38 1, 2
40 1, 1, 1
42 1, 2, 2
44 1, 2, 3
46 1, 2, 3
48 0, 1, 2, 3
50 1, 2, 3
52 1, 1, 1, 3
54 1, 2, 2, 2
56 1, 2, 3, 3
58 1, 2, 3, 4
60 0, 1, 2, 3, 4
62 1, 2, 3, 4
64 1, 1, 1, 3, 4
66 1, 2, 2, 2, 3
68 1, 2, 3, 3, 3
70 1, 2, 3, 4, 4
72 0, 1, 2, 3, 4, 5
74 1, 2, 3, 4, 5
76 1, 1, 1, 3, 4, 5
78 1, 2, 2, 2, 3, 5
80 1, 2, 3, 3, 3, 4
82 1, 2, 3, 4, 4, 4
84 0, 1, 2, 3, 4, 5, 5
86 1, 2, 3, 4, 5, 6
88 1, 1, 1, 3, 4, 5, 6
90 1, 2, 2, 2, 3, 5, 6
92 1, 2, 3, 3, 3, 4, 5
94 1, 2, 3, 4, 4, 4, 5
96 0, 1, 2, 3, 4, 5, 5, 5
98 1, 2, 3, 4, 5, 6, 6
100 1, 1, 1, 3, 4, 5, 6, 7
102 1, 2, 2, 2, 3, 5, 6, 7
104 1, 2, 3, 3, 3, 4, 5, 7
106 1, 2, 3, 4, 4, 4, 5, 6
108 0, 1, 2, 3, 4, 5, 5, 5, 6
110 1, 2, 3, 4, 5, 6, 6, 6
112 1, 1, 1, 3, 4, 5, 6, 7, 7
114 1, 2, 2, 2, 3, 5, 6, 7, 8
116 1, 2, 3, 3, 3, 4, 5, 7, 8
118 1, 2, 3, 4, 4, 4, 5, 6, 7
120 0, 1, 2, 3, 4, 5, 5, 5, 6, 7
122 1, 2, 3, 4, 5, 6, 6, 6, 7
124 1, 1, 1, 3, 4, 5, 6, 7, 7, 7
126 1, 2, 2, 2, 3, 5, 6, 7, 8, 8
128 1, 2, 3, 3, 3, 4, 5, 7, 8, 9
130 1, 2, 3, 4, 4, 4, 5, 6, 7, 9
132 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8
134 1, 2, 3, 4, 5, 6, 6, 6, 7, 8
136 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8
138 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8
140 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 9
142 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 10
144 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9
146 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9
148 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9
150 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8, 9
152 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 9, 9
154 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 10, 10
156 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 11
158 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10
160 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10
162 2, 2, 2, 2, 2, 5, 6, 7, 8, 8, 8, 9, 10
164 2, 3, 3, 3, 3, 3, 4, 7, 8, 9, 9, 9, 10
166 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 10, 10, 10
168 0, 2, 3, 4, 5, 5, 5, 5, 5, 6, 7, 8, 11, 11
170 2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 8, 9, 10
172 1, 2, 2, 4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 10
174 1, 3, 3, 3, 4, 6, 7, 8, 8, 8, 8, 8, 9, 10
176 1, 3, 4, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 10
178 1, 3, 4, 5, 5, 5, 6, 7, 8, 10, 10, 10, 10, 10
180 0, 1, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10, 11, 11, 11
182 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 12
184 1, 1, 2, 4, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13
186 1, 2, 3, 3, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13
188 1, 2, 4, 4, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13
190 1, 2, 4, 5, 5, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13
192 0, 1, 2, 4, 5, 6, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13
194 1, 2, 4, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13
196 1, 1, 1, 4, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13
198 1, 2, 2, 3, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14
200 1, 2, 3, 4, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14
202 1, 2, 3, 5, 5, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14
204 0, 1, 2, 3, 5, 6, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14
206 1, 2, 3, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14
208 1, 1, 1, 3, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14
210 1, 2, 2, 2, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14
212 1, 2, 3, 3, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15
214 1, 2, 3, 4, 5, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15
216 0, 1, 2, 3, 4, 6, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15
218 1, 2, 3, 4, 6, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15
220 1, 1, 1, 3, 4, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15
222 1, 2, 2, 2, 3, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14
224 1, 2, 3, 3, 3, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15
226 1, 2, 3, 4, 4, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16
228 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16
230 1, 2, 3, 4, 5, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16
232 1, 1, 1, 3, 4, 5, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16
234 1, 2, 2, 2, 3, 5, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16
236 1, 2, 3, 3, 3, 4, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15
238 1, 2, 3, 4, 4, 4, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16
240 0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17
242 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17
244 1, 1, 1, 3, 4, 5, 6, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17
246 1, 2, 2, 2, 3, 5, 6, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17
248 1, 2, 3, 3, 3, 4, 5, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16
250 1, 2, 3, 4, 4, 4, 5, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16
252 0, 1, 2, 3, 4, 5, 5, 5, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17
254 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18
256 1, 1, 1, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18
258 1, 2, 2, 2, 3, 5, 6, 7, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18
260 1, 2, 3, 3, 3, 4, 5, 7, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18
262 1, 2, 3, 4, 4, 4, 5, 6, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17
264 0, 1, 2, 3, 4, 5, 5, 5, 6, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17
266 1, 2, 3, 4, 5, 6, 6, 6, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18
268 1, 1, 1, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19
270 1, 2, 2, 2, 3, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19
272 1, 2, 3, 3, 3, 4, 5, 7, 8, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19
274 1, 2, 3, 4, 4, 4, 5, 6, 7, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18
276 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18
278 1, 2, 3, 4, 5, 6, 6, 6, 7, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18
280 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19
282 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20
284 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20
286 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20
288 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19
290 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19
292 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 19
294 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 20
296 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 21
298 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 21
300 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20
302 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20
304 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 19, 20
306 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8, 9, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 20, 20
308 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 9, 9, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 21, 21
310 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 10, 10, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 21, 22
312 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 11, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 22
314 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21
316 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 19, 20, 21
318 2, 2, 2, 2, 2, 5, 6, 7, 8, 8, 8, 9, 10, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 20, 20, 21
320 2, 3, 3, 3, 3, 3, 4, 7, 8, 9, 9, 9, 10, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 21, 21, 21
322 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 10, 10, 10, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 21, 22, 22
324 0, 2, 3, 4, 5, 5, 5, 5, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 22, 23
326 2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 8, 9, 10, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21, 22
328 1, 2, 2, 4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 10, 12, 12, 14, 15, 16, 17, 18, 19, 19, 19, 20, 21, 22
330 1, 3, 3, 3, 4, 6, 7, 8, 8, 8, 8, 8, 9, 10, 12, 13, 13, 13, 16, 17, 18, 19, 20, 20, 20, 21, 22
332 1, 3, 4, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 10, 12, 13, 14, 14, 14, 15, 18, 19, 20, 21, 21, 21, 22
334 1, 3, 4, 5, 5, 5, 6, 7, 8, 10, 10, 10, 10, 10, 12, 13, 14, 15, 15, 15, 16, 17, 20, 21, 22, 22, 22
336 0, 1, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 19, 22, 23, 23
338 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 21, 24
340 1, 1, 2, 4, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21, 22
342 1, 2, 3, 3, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 15, 16, 17, 18, 19, 19, 19, 20, 21, 22
344 1, 2, 4, 4, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 15, 15, 15, 15, 15, 17, 18, 19, 20, 20, 20, 21, 22
346 1, 2, 4, 5, 5, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 15, 16, 16, 16, 16, 16, 17, 19, 20, 21, 21, 21, 22
348 0, 1, 2, 4, 5, 6, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 15, 16, 17, 17, 17, 17, 17, 18, 19, 21, 22, 22, 22
350 1, 2, 4, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 15, 16, 17, 18, 18, 18, 18, 18, 19, 20, 21, 23, 23
352 1, 1, 1, 4, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 15, 16, 17, 18, 19, 19, 19, 19, 19, 20, 21, 22, 23
354 1, 2, 2, 3, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 15, 15, 17, 18, 19, 20, 20, 20, 20, 20, 21, 22, 23
356 1, 2, 3, 4, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 16, 16, 16, 17, 19, 20, 21, 21, 21, 21, 21, 22, 23
358 1, 2, 3, 5, 5, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 16, 17, 17, 17, 18, 19, 21, 22, 22, 22, 22, 22, 23
360 0, 1, 2, 3, 5, 6, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 16, 17, 18, 18, 18, 19, 20, 21, 23, 23, 23, 23, 23
362 1, 2, 3, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 16, 17, 18, 19, 19, 19, 20, 21, 22, 23, 24, 24, 24
364 1, 1, 1, 3, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 16, 17, 18, 19, 20, 20, 20, 21, 22, 23, 24, 25, 25
366 1, 2, 2, 2, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 15, 17, 18, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26
368 1, 2, 3, 3, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 16, 16, 17, 19, 20, 21, 22, 22, 22, 23, 24, 25, 26
370 1, 2, 3, 4, 5, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 17, 17, 17, 18, 19, 21, 22, 23, 23, 23, 24, 25, 26
372 0, 1, 2, 3, 4, 6, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 17, 18, 18, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26
374 1, 2, 3, 4, 6, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 17, 18, 19, 19, 19, 20, 21, 22, 23, 25, 25, 25, 26
376 1, 1, 1, 3, 4, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 17, 18, 19, 20, 20, 20, 21, 22, 23, 24, 25, 26, 26
378 1, 2, 2, 2, 3, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 17, 18, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26, 26
380 1, 2, 3, 3, 3, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 16, 17, 19, 20, 21, 22, 22, 22, 23, 24, 25, 26, 27
382 1, 2, 3, 4, 4, 5, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 21, 22, 23, 23, 23, 24, 25, 26, 27
384 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 18, 18, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 27
386 1, 2, 3, 4, 5, 7, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 18, 19, 19, 19, 20, 21, 22, 23, 25, 25, 25, 26, 27
388 1, 1, 1, 3, 4, 5, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 18, 19, 20, 20, 20, 21, 22, 23, 24, 25, 26, 26, 27
390 1, 2, 2, 2, 3, 5, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 18, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26, 26, 27
392 1, 2, 3, 3, 3, 4, 6, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 17, 19, 20, 21, 22, 22, 22, 23, 24, 25, 26, 27, 27
394 1, 2, 3, 4, 4, 4, 6, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 21, 22, 23, 23, 23, 24, 25, 26, 27, 28
396 0, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 27, 28
398 1, 2, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 19, 19, 19, 20, 21, 22, 23, 25, 25, 25, 26, 27, 28
400 1, 1, 1, 3, 4, 5, 6, 8, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 19, 20, 20, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28
402 1, 2, 2, 2, 3, 5, 6, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 19, 20, 21, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28
404 1, 2, 3, 3, 3, 4, 5, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 19, 20, 21, 22, 22, 22, 23, 24, 25, 26, 27, 27, 27
406 1, 2, 3, 4, 4, 4, 5, 7, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 21, 22, 23, 23, 23, 24, 25, 26, 27, 28, 28
408 0, 1, 2, 3, 4, 5, 5, 5, 7, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 27, 28, 29
410 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 25, 25, 25, 26, 27, 28, 29
412 1, 1, 1, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 20, 20, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29
414 1, 2, 2, 2, 3, 5, 6, 7, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 20, 21, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29
416 1, 2, 3, 3, 3, 4, 5, 7, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 20, 21, 22, 22, 22, 23, 24, 25, 26, 27, 27, 27, 29
418 1, 2, 3, 4, 4, 4, 5, 6, 8, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 19, 21, 22, 23, 23, 23, 24, 25, 26, 27, 28, 28, 28
420 0, 1, 2, 3, 4, 5, 5, 5, 6, 8, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 19, 20, 21, 23, 24, 24, 24, 25, 26, 27, 28, 29, 29
422 1, 2, 3, 4, 5, 6, 6, 6, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 25, 25, 25, 26, 27, 28, 29, 30
424 1, 1, 1, 3, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30
426 1, 2, 2, 2, 3, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 21, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30
428 1, 2, 3, 3, 3, 4, 5, 7, 8, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 21, 22, 22, 22, 23, 24, 25, 26, 27, 27, 27, 29, 30
430 1, 2, 3, 4, 4, 4, 5, 6, 7, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 21, 22, 23, 23, 23, 24, 25, 26, 27, 28, 28, 28, 29
432 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 20, 21, 23, 24, 24, 24, 25, 26, 27, 28, 29, 29, 29
434 1, 2, 3, 4, 5, 6, 6, 6, 7, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 20, 21, 22, 23, 25, 25, 25, 26, 27, 28, 29, 30, 30
436 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31
438 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31
440 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 22, 22, 22, 23, 24, 25, 26, 27, 27, 27, 29, 30, 31
442 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 22, 23, 23, 23, 24, 25, 26, 27, 28, 28, 28, 29, 31
444 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 10, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 21, 23, 24, 24, 24, 25, 26, 27, 28, 29, 29, 29, 30
446 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 21, 22, 23, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30
448 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 19, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31
450 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8, 10, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32
452 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27, 27, 27, 29, 30, 31, 32
454 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 21, 23, 23, 23, 24, 25, 26, 27, 28, 28, 28, 29, 31, 32
456 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 23, 24, 24, 24, 25, 26, 27, 28, 29, 29, 29, 30, 31
458 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9, 11, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 22, 23, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31
460 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 19, 20, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 31
462 1, 2, 2, 2, 3, 5, 6, 7, 8, 8, 8, 9, 11, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 20, 20, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 32
464 1, 2, 3, 3, 3, 4, 5, 7, 8, 9, 9, 9, 11, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27, 27, 27, 29, 30, 31, 32, 33
466 1, 2, 3, 4, 4, 4, 5, 6, 7, 9, 10, 10, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 21, 22, 23, 23, 24, 25, 26, 27, 28, 28, 28, 29, 31, 32, 33
468 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 8, 9, 11, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 22, 24, 24, 24, 25, 26, 27, 28, 29, 29, 29, 30, 31, 33
470 1, 2, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10, 12, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21, 23, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31, 32
472 1, 1, 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10, 12, 13, 13, 14, 15, 16, 17, 18, 19, 19, 19, 20, 21, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 31, 32
474 2, 2, 2, 2, 2, 5, 6, 7, 8, 8, 8, 9, 10, 12, 13, 14, 14, 14, 16, 17, 18, 19, 20, 20, 20, 21, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 32, 32
476 2, 3, 3, 3, 3, 3, 4, 7, 8, 9, 9, 9, 10, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20, 21, 21, 21, 23, 24, 25, 26, 27, 27, 27, 29, 30, 31, 32, 33, 33
478 2, 3, 4, 4, 4, 4, 4, 5, 6, 9, 10, 10, 10, 12, 13, 14, 15, 16, 16, 16, 17, 18, 20, 21, 22, 22, 23, 24, 25, 26, 27, 28, 28, 28, 29, 31, 32, 33, 34
480 0, 2, 3, 4, 5, 5, 5, 5, 5, 6, 7, 8, 11, 11, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 22, 23, 24, 24, 25, 26, 27, 28, 29, 29, 29, 30, 31, 33, 34
482 2, 3, 4, 5, 6, 6, 6, 6, 6, 7, 8, 9, 10, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21, 22, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31, 32, 33
484 1, 2, 2, 4, 5, 6, 7, 7, 7, 7, 7, 8, 9, 10, 12, 12, 14, 15, 16, 17, 18, 19, 19, 19, 20, 21, 22, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 31, 32, 33
486 1, 3, 3, 3, 4, 6, 7, 8, 8, 8, 8, 8, 9, 10, 12, 13, 13, 13, 16, 17, 18, 19, 20, 20, 20, 21, 22, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 32, 32, 33
488 1, 3, 4, 4, 4, 5, 6, 8, 9, 9, 9, 9, 9, 10, 12, 13, 14, 14, 14, 15, 18, 19, 20, 21, 21, 21, 22, 24, 25, 26, 27, 27, 27, 29, 30, 31, 32, 33, 33, 33
490 1, 3, 4, 5, 5, 5, 6, 7, 8, 10, 10, 10, 10, 10, 12, 13, 14, 15, 15, 15, 16, 17, 20, 21, 22, 22, 22, 24, 25, 26, 27, 28, 28, 28, 29, 31, 32, 33, 34, 34
492 0, 1, 3, 4, 5, 6, 6, 6, 7, 8, 9, 10, 11, 11, 11, 12, 13, 14, 15, 16, 16, 16, 17, 18, 19, 22, 23, 23, 24, 25, 26, 27, 28, 29, 29, 29, 30, 31, 33, 34, 35
494 1, 3, 4, 5, 6, 7, 7, 7, 8, 9, 10, 11, 12, 12, 12, 13, 14, 15, 16, 17, 17, 17, 18, 19, 20, 21, 24, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31, 32, 33, 35
496 1, 1, 2, 4, 5, 6, 7, 8, 8, 8, 9, 10, 11, 12, 13, 13, 13, 14, 15, 16, 17, 18, 18, 18, 19, 20, 21, 22, 24, 26, 26, 27, 28, 29, 30, 31, 31, 31, 32, 33, 34
498 1, 2, 3, 3, 4, 6, 7, 8, 9, 9, 9, 10, 11, 12, 13, 14, 14, 14, 15, 16, 17, 18, 19, 19, 19, 20, 21, 22, 24, 25, 25, 27, 28, 29, 30, 31, 32, 32, 32, 33, 34
500 1, 2, 4, 4, 4, 5, 6, 8, 9, 10, 10, 10, 11, 12, 13, 15, 15, 15, 15, 15, 17, 18, 19, 20, 20, 20, 21, 22, 24, 25, 26, 26, 26, 29, 30, 31, 32, 33, 33, 33, 34
Fernando Q. Gouvêa ---- fqgouvea@colby.edu
Last modified: Sat May 27 16:25:04 Eastern Daylight Time 2000