Slope sequences for p=19

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