Slope sequences for p=7

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 1
16 1
18 1
20 2
22 1
24 1, 2
26 2
28 1, 3
30 1, 2
32 2, 3
34 1, 3
36 1, 2, 3
38 2, 3
40 1, 3, 4
42 1, 2, 3
44 2, 3, 4
46 1, 3, 4
48 2, 2, 2, 5
50 3, 3, 3
52 2, 4, 4, 4
54 1, 3, 4, 5
56 3, 4, 5, 6
58 1, 4, 5, 6
60 1, 3, 4, 6, 7
62 2, 4, 5, 7
64 1, 4, 5, 6, 7
66 1, 2, 4, 6, 7
68 2, 4, 5, 7, 8
70 1, 3, 5, 6, 7
72 1, 2, 4, 6, 7, 8
74 2, 3, 5, 7, 8
76 1, 3, 5, 6, 7, 9
78 1, 2, 3, 6, 7, 8
80 2, 3, 5, 7, 8, 9
82 1, 3, 4, 6, 7, 9
84 1, 2, 3, 6, 7, 8, 10
86 2, 3, 4, 7, 8, 9
88 1, 3, 4, 6, 7, 9, 10
90 2, 2, 2, 5, 7, 8, 10
92 3, 3, 3, 7, 8, 9, 10
94 2, 4, 4, 4, 6, 9, 10
96 1, 3, 4, 5, 6, 7, 10, 11
98 3, 4, 5, 6, 7, 8, 9
100 1, 4, 5, 6, 7, 8, 9, 10
102 1, 3, 4, 6, 7, 8, 9, 10
104 2, 4, 5, 7, 9, 9, 9, 11
106 1, 4, 5, 6, 7, 10, 10, 10
108 1, 2, 4, 6, 7, 9, 11, 11, 11
110 2, 4, 5, 7, 8, 10, 11, 12
112 1, 3, 5, 6, 7, 10, 11, 12, 13
114 1, 2, 4, 6, 7, 8, 11, 12, 13
116 2, 3, 5, 7, 8, 10, 11, 13, 14
118 1, 3, 5, 6, 7, 9, 11, 12, 14
120 1, 2, 3, 6, 7, 8, 11, 12, 13, 14
122 2, 3, 5, 7, 8, 9, 11, 13, 14
124 1, 3, 4, 6, 7, 9, 11, 12, 14, 15
126 1, 2, 3, 6, 7, 8, 10, 12, 13, 14
128 2, 3, 4, 7, 8, 9, 11, 13, 14, 15
130 1, 3, 4, 6, 7, 9, 10, 12, 14, 15
132 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16
134 3, 3, 3, 7, 8, 9, 10, 13, 14, 15
136 2, 4, 4, 4, 6, 9, 10, 12, 14, 15, 16
138 1, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16
140 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17
142 1, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16
144 1, 3, 4, 6, 7, 8, 9, 10, 12, 13, 16, 17
146 2, 4, 5, 7, 9, 9, 9, 11, 13, 14, 17
148 1, 4, 5, 6, 7, 10, 10, 10, 13, 14, 15, 16
150 1, 2, 4, 6, 7, 9, 11, 11, 11, 13, 15, 16
152 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17
154 1, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16
156 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17
158 2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17
160 1, 3, 5, 6, 7, 9, 11, 12, 14, 16, 16, 16, 18
162 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 17, 17, 17
164 2, 3, 5, 7, 8, 9, 11, 13, 14, 16, 18, 18, 18
166 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 19
168 1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 17, 18, 19, 20
170 2, 3, 4, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20
172 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21
174 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16, 18, 19, 21
176 3, 3, 3, 7, 8, 9, 10, 13, 14, 15, 18, 19, 20, 21
178 2, 4, 4, 4, 6, 9, 10, 12, 14, 15, 16, 18, 20, 21
180 1, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16, 18, 19, 21, 22
182 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17, 19, 20, 21
184 1, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 18, 20, 21, 22
186 1, 3, 4, 6, 7, 8, 9, 10, 12, 13, 16, 17, 19, 21, 22
188 2, 4, 5, 7, 9, 9, 9, 11, 13, 14, 17, 19, 20, 21, 23
190 1, 4, 5, 6, 7, 10, 10, 10, 13, 14, 15, 16, 20, 21, 22
192 1, 2, 4, 6, 7, 9, 11, 11, 11, 13, 15, 16, 18, 21, 22, 23
194 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17, 19, 20, 23
196 1, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 24
198 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22
200 2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17, 19, 20, 22, 23
202 1, 3, 5, 6, 7, 9, 11, 12, 14, 16, 16, 16, 18, 20, 21, 23
204 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 17, 17, 17, 20, 21, 22, 23
206 2, 3, 5, 7, 8, 9, 11, 13, 14, 16, 18, 18, 18, 20, 22, 23
208 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 19, 20, 21, 23, 24
210 1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23
212 2, 3, 4, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24
214 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 22, 23, 24
216 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16, 18, 19, 21, 23, 23, 23, 25
218 3, 3, 3, 7, 8, 9, 10, 13, 14, 15, 18, 19, 20, 21, 24, 24, 24
220 2, 4, 4, 4, 6, 9, 10, 12, 14, 15, 16, 18, 20, 21, 23, 25, 25, 25
222 1, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16, 18, 19, 21, 22, 24, 25, 26
224 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17, 19, 20, 21, 24, 25, 26, 27
226 1, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 18, 20, 21, 22, 25, 26, 27
228 1, 3, 4, 6, 7, 8, 9, 10, 12, 13, 16, 17, 19, 21, 22, 24, 25, 27, 28
230 2, 4, 5, 7, 9, 9, 9, 11, 13, 14, 17, 19, 20, 21, 23, 25, 26, 28
232 1, 4, 5, 6, 7, 10, 10, 10, 13, 14, 15, 16, 20, 21, 22, 25, 26, 27, 28
234 1, 2, 4, 6, 7, 9, 11, 11, 11, 13, 15, 16, 18, 21, 22, 23, 25, 27, 28
236 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17, 19, 20, 23, 25, 26, 28, 29
238 1, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 24, 26, 27, 28
240 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 24, 27, 28, 29
242 2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17, 19, 20, 22, 23, 25, 28, 29
244 1, 3, 5, 6, 7, 9, 11, 12, 14, 16, 16, 16, 18, 20, 21, 23, 25, 26, 27, 30
246 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 17, 17, 17, 20, 21, 22, 23, 26, 27, 28
248 2, 3, 5, 7, 8, 9, 11, 13, 14, 16, 18, 18, 18, 20, 22, 23, 25, 27, 28, 29
250 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 19, 20, 21, 23, 24, 26, 27, 29
252 1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 30
254 2, 3, 4, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29
256 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 22, 23, 24, 26, 27, 29, 30
258 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16, 18, 19, 21, 23, 23, 23, 25, 27, 28, 30
260 3, 3, 3, 7, 8, 9, 10, 13, 14, 15, 18, 19, 20, 21, 24, 24, 24, 27, 28, 29, 30
262 2, 4, 4, 4, 6, 9, 10, 12, 14, 15, 16, 18, 20, 21, 23, 25, 25, 25, 27, 29, 30
264 1, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16, 18, 19, 21, 22, 24, 25, 26, 27, 28, 30, 31
266 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30
268 1, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 18, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31
270 1, 3, 4, 6, 7, 8, 9, 10, 12, 13, 16, 17, 19, 21, 22, 24, 25, 27, 28, 29, 30, 31
272 2, 4, 5, 7, 9, 9, 9, 11, 13, 14, 17, 19, 20, 21, 23, 25, 26, 28, 30, 30, 30, 32
274 1, 4, 5, 6, 7, 10, 10, 10, 13, 14, 15, 16, 20, 21, 22, 25, 26, 27, 28, 31, 31, 31
276 1, 2, 4, 6, 7, 9, 11, 11, 11, 13, 15, 16, 18, 21, 22, 23, 25, 27, 28, 30, 32, 32, 32
278 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17, 19, 20, 23, 25, 26, 28, 29, 31, 32, 33
280 1, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 24, 26, 27, 28, 31, 32, 33, 34
282 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 24, 27, 28, 29, 32, 33, 34
284 2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17, 19, 20, 22, 23, 25, 28, 29, 31, 32, 34, 35
286 1, 3, 5, 6, 7, 9, 11, 12, 14, 16, 16, 16, 18, 20, 21, 23, 25, 26, 27, 30, 32, 33, 35
288 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 17, 17, 17, 20, 21, 22, 23, 26, 27, 28, 32, 33, 34, 35
290 2, 3, 5, 7, 8, 9, 11, 13, 14, 16, 18, 18, 18, 20, 22, 23, 25, 27, 28, 29, 31, 34, 35
292 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 19, 20, 21, 23, 24, 26, 27, 29, 31, 32, 35, 36
294 1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 30, 32, 33, 34
296 2, 3, 4, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29, 31, 33, 34, 35
298 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 22, 23, 24, 26, 27, 29, 30, 32, 34, 35
300 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16, 18, 19, 21, 23, 23, 23, 25, 27, 28, 30, 32, 33, 34, 36
302 3, 3, 3, 7, 8, 9, 10, 13, 14, 15, 18, 19, 20, 21, 24, 24, 24, 27, 28, 29, 30, 33, 34, 35
304 3, 4, 4, 4, 5, 9, 10, 12, 14, 15, 16, 18, 20, 21, 23, 25, 25, 25, 27, 29, 30, 32, 34, 35, 36
306 1, 4, 5, 5, 5, 6, 10, 11, 13, 14, 16, 18, 19, 21, 22, 24, 25, 26, 27, 28, 30, 31, 33, 34, 36
308 4, 5, 6, 6, 6, 7, 8, 13, 14, 15, 17, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 37
310 1, 5, 6, 7, 7, 7, 8, 9, 14, 15, 16, 18, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36
312 1, 4, 5, 7, 8, 8, 8, 9, 11, 12, 16, 17, 19, 21, 22, 24, 25, 27, 28, 29, 30, 31, 33, 34, 36, 37
314 2, 5, 6, 8, 9, 9, 9, 10, 12, 13, 17, 19, 20, 21, 23, 25, 26, 28, 30, 30, 30, 32, 34, 35, 37
316 1, 5, 6, 7, 8, 10, 10, 10, 12, 13, 14, 15, 20, 21, 22, 25, 26, 27, 28, 31, 31, 31, 34, 35, 36, 37
318 1, 2, 5, 7, 8, 10, 11, 11, 11, 12, 14, 15, 17, 21, 22, 23, 25, 27, 28, 30, 32, 32, 32, 34, 36, 37
320 2, 5, 6, 8, 9, 11, 12, 12, 12, 13, 15, 16, 18, 19, 23, 25, 26, 28, 29, 31, 32, 33, 34, 35, 37, 38
322 1, 3, 6, 7, 8, 11, 12, 13, 13, 13, 14, 15, 18, 19, 20, 24, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37
324 1, 2, 5, 7, 8, 9, 12, 13, 14, 14, 14, 15, 16, 19, 20, 21, 23, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38
326 2, 3, 6, 8, 9, 11, 12, 14, 15, 15, 15, 16, 18, 19, 21, 22, 24, 28, 29, 31, 32, 34, 35, 36, 37, 38
328 1, 3, 6, 7, 8, 10, 12, 13, 15, 16, 16, 16, 17, 19, 20, 22, 24, 25, 26, 30, 32, 33, 35, 37, 37, 37, 39
330 1, 2, 3, 7, 8, 9, 12, 13, 14, 15, 17, 17, 17, 19, 20, 21, 22, 25, 26, 27, 32, 33, 34, 35, 38, 38, 38
332 2, 3, 6, 8, 9, 10, 12, 14, 15, 17, 18, 18, 18, 19, 21, 22, 24, 26, 27, 28, 30, 34, 35, 37, 39, 39, 39
334 1, 3, 4, 7, 8, 10, 12, 13, 15, 16, 18, 19, 19, 19, 20, 22, 23, 25, 26, 28, 30, 31, 35, 36, 38, 39, 40
336 1, 2, 3, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 20, 20, 21, 22, 25, 26, 27, 29, 31, 32, 33, 38, 39, 40, 41
338 2, 3, 4, 8, 9, 10, 12, 14, 15, 16, 19, 20, 21, 21, 21, 22, 23, 26, 27, 28, 30, 32, 33, 34, 39, 40, 41
340 1, 3, 4, 7, 8, 10, 11, 13, 15, 16, 18, 19, 21, 22, 22, 22, 23, 25, 26, 28, 29, 31, 33, 34, 36, 37, 41, 42
342 2, 2, 2, 5, 8, 9, 11, 13, 14, 15, 17, 19, 20, 22, 23, 23, 23, 24, 26, 27, 29, 31, 32, 33, 35, 37, 38, 42
344 3, 3, 3, 8, 9, 10, 11, 14, 15, 16, 19, 20, 21, 22, 24, 24, 24, 26, 27, 28, 29, 32, 33, 34, 37, 38, 39, 40
346 2, 4, 4, 4, 7, 10, 11, 13, 15, 16, 17, 19, 21, 22, 24, 25, 25, 25, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40
348 1, 3, 4, 5, 7, 8, 11, 12, 14, 15, 17, 19, 20, 22, 23, 25, 26, 26, 26, 27, 29, 30, 32, 33, 35, 37, 38, 40, 41
350 3, 4, 5, 6, 8, 9, 10, 14, 15, 16, 18, 20, 21, 22, 25, 26, 27, 27, 27, 28, 29, 32, 33, 34, 36, 38, 39, 40
352 1, 4, 5, 6, 8, 9, 10, 11, 15, 16, 17, 19, 21, 22, 23, 26, 27, 28, 28, 28, 29, 30, 33, 34, 35, 37, 39, 40, 41
354 1, 3, 4, 6, 7, 9, 10, 11, 13, 14, 17, 18, 20, 22, 23, 25, 26, 28, 29, 29, 29, 30, 32, 33, 35, 36, 38, 40, 41
356 2, 4, 5, 7, 10, 10, 10, 12, 14, 15, 18, 20, 21, 22, 24, 26, 27, 29, 30, 30, 30, 31, 33, 34, 36, 38, 39, 40, 42
358 1, 4, 5, 6, 7, 11, 11, 11, 14, 15, 16, 17, 21, 22, 23, 26, 27, 28, 29, 31, 31, 31, 33, 34, 35, 36, 39, 40, 41
360 1, 2, 4, 6, 7, 10, 12, 12, 12, 14, 16, 17, 19, 22, 23, 24, 26, 28, 29, 31, 32, 32, 32, 33, 35, 36, 38, 40, 41, 42
362 2, 4, 5, 7, 8, 11, 12, 13, 14, 15, 17, 18, 20, 21, 24, 26, 27, 29, 30, 32, 33, 33, 33, 34, 36, 37, 39, 40, 42
364 1, 3, 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 25, 27, 28, 29, 32, 33, 34, 34, 34, 35, 36, 39, 40, 41, 43
366 1, 2, 4, 6, 7, 8, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 25, 28, 29, 30, 33, 34, 35, 35, 35, 36, 37, 40, 41, 42
368 2, 3, 5, 7, 8, 11, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 26, 29, 30, 32, 33, 35, 36, 36, 36, 37, 39, 40, 42, 43
370 1, 3, 5, 6, 7, 9, 12, 13, 15, 17, 17, 17, 19, 21, 22, 24, 26, 27, 28, 31, 33, 34, 36, 37, 37, 37, 38, 40, 41, 43
372 1, 2, 3, 6, 7, 8, 12, 13, 14, 15, 18, 18, 18, 21, 22, 23, 24, 27, 28, 29, 33, 34, 35, 36, 38, 38, 38, 40, 41, 42, 43
374 2, 3, 5, 7, 8, 9, 12, 14, 15, 17, 19, 19, 19, 21, 23, 24, 26, 28, 29, 30, 32, 35, 36, 38, 39, 39, 39, 40, 42, 43
376 1, 3, 4, 6, 7, 9, 12, 13, 15, 16, 18, 19, 20, 21, 22, 24, 25, 27, 28, 30, 32, 33, 36, 37, 39, 40, 40, 40, 41, 43, 44
378 1, 2, 3, 6, 7, 8, 10, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29, 31, 33, 34, 35, 39, 40, 41, 41, 41, 42, 43
380 2, 3, 4, 7, 8, 9, 12, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 28, 29, 30, 32, 34, 35, 36, 40, 41, 42, 42, 42, 43, 44
382 1, 3, 4, 6, 7, 9, 10, 13, 15, 16, 18, 19, 21, 22, 23, 24, 25, 27, 28, 30, 31, 33, 35, 36, 38, 39, 42, 43, 43, 43, 44
384 2, 2, 2, 5, 7, 8, 10, 13, 14, 15, 17, 19, 20, 22, 24, 24, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 43, 44, 44, 44, 45
386 3, 3, 3, 7, 8, 9, 10, 14, 15, 16, 19, 20, 21, 22, 25, 25, 25, 28, 29, 30, 31, 34, 35, 36, 39, 40, 41, 42, 45, 45, 45
388 2, 4, 4, 4, 6, 9, 10, 13, 15, 16, 17, 19, 21, 22, 24, 26, 26, 26, 28, 30, 31, 33, 35, 36, 37, 39, 41, 42, 44, 46, 46, 46
390 1, 3, 4, 5, 6, 7, 10, 11, 14, 15, 17, 19, 20, 22, 23, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 45, 46, 47
392 3, 4, 5, 6, 7, 8, 9, 14, 15, 16, 18, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 38, 40, 41, 42, 45, 46, 47, 48
394 1, 4, 5, 6, 7, 8, 9, 10, 15, 16, 17, 19, 21, 22, 23, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 39, 41, 42, 43, 46, 47, 48
396 1, 3, 4, 6, 7, 8, 9, 10, 13, 14, 17, 18, 20, 22, 23, 25, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 42, 43, 45, 46, 48, 49
398 2, 4, 5, 7, 9, 9, 9, 11, 14, 15, 18, 20, 21, 22, 24, 26, 27, 29, 31, 31, 31, 33, 35, 36, 38, 40, 41, 42, 44, 46, 47, 49
400 1, 4, 5, 6, 7, 10, 10, 10, 14, 15, 16, 17, 21, 22, 23, 26, 27, 28, 29, 32, 32, 32, 35, 36, 37, 38, 41, 42, 43, 46, 47, 48, 49
402 1, 2, 4, 6, 7, 9, 11, 11, 11, 14, 16, 17, 19, 22, 23, 24, 26, 28, 29, 31, 33, 33, 33, 35, 37, 38, 40, 42, 43, 44, 46, 48, 49
404 2, 4, 5, 7, 8, 10, 11, 12, 14, 15, 17, 18, 20, 21, 24, 26, 27, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 44, 46, 47, 49, 50
406 1, 3, 5, 6, 7, 10, 11, 12, 13, 15, 16, 17, 20, 21, 22, 25, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 45, 47, 48, 49
408 1, 2, 4, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 21, 22, 23, 25, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 46, 48, 49, 50
410 2, 3, 5, 7, 8, 10, 11, 13, 14, 16, 17, 18, 20, 21, 23, 24, 26, 29, 30, 32, 33, 35, 36, 37, 38, 39, 41, 42, 44, 45, 47, 49, 50
412 1, 3, 5, 6, 7, 9, 11, 12, 14, 17, 17, 17, 19, 21, 22, 24, 26, 27, 28, 31, 33, 34, 36, 38, 38, 38, 40, 42, 43, 45, 47, 48, 49, 51
414 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 18, 18, 18, 21, 22, 23, 24, 27, 28, 29, 33, 34, 35, 36, 39, 39, 39, 42, 43, 44, 45, 48, 49, 50
416 2, 3, 5, 7, 8, 9, 11, 13, 14, 17, 19, 19, 19, 21, 23, 24, 26, 28, 29, 30, 32, 35, 36, 38, 40, 40, 40, 42, 44, 45, 47, 49, 50, 51
418 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 18, 19, 20, 21, 22, 24, 25, 27, 28, 30, 32, 33, 36, 37, 39, 40, 41, 42, 43, 45, 46, 48, 49, 51
420 1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29, 31, 33, 34, 35, 39, 40, 41, 42, 43, 44, 45, 48, 49, 50, 52
422 2, 3, 4, 7, 8, 9, 11, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 28, 29, 30, 32, 34, 35, 36, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51
424 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 18, 19, 21, 22, 23, 24, 25, 27, 28, 30, 31, 33, 35, 36, 38, 39, 42, 43, 44, 45, 46, 48, 49, 51, 52
426 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16, 19, 20, 22, 24, 24, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 43, 45, 45, 45, 47, 49, 50, 52
428 3, 3, 3, 7, 8, 9, 10, 13, 14, 15, 19, 20, 21, 22, 25, 25, 25, 28, 29, 30, 31, 34, 35, 36, 39, 40, 41, 42, 46, 46, 46, 49, 50, 51, 52
430 2, 4, 4, 4, 6, 9, 10, 12, 14, 15, 16, 19, 21, 22, 24, 26, 26, 26, 28, 30, 31, 33, 35, 36, 37, 39, 41, 42, 44, 47, 47, 47, 49, 51, 52
432 1, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16, 19, 20, 22, 23, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 45, 46, 48, 49, 50, 52, 53
434 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 38, 40, 41, 42, 45, 46, 47, 49, 50, 51, 52
436 1, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 19, 21, 22, 23, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 39, 41, 42, 43, 46, 47, 48, 49, 51, 52, 53
438 1, 3, 4, 6, 7, 8, 9, 10, 12, 13, 16, 17, 20, 22, 23, 25, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 42, 43, 45, 46, 48, 49, 50, 52, 53
440 2, 4, 5, 7, 9, 9, 9, 11, 13, 14, 17, 20, 21, 22, 24, 26, 27, 29, 31, 31, 31, 33, 35, 36, 38, 40, 41, 42, 44, 46, 47, 49, 51, 51, 51, 54
442 1, 4, 5, 6, 7, 10, 10, 10, 13, 14, 15, 16, 21, 22, 23, 26, 27, 28, 29, 32, 32, 32, 35, 36, 37, 38, 41, 42, 43, 46, 47, 48, 49, 52, 52, 52
444 1, 2, 4, 6, 7, 9, 11, 11, 11, 13, 15, 16, 19, 22, 23, 24, 26, 28, 29, 31, 33, 33, 33, 35, 37, 38, 40, 42, 43, 44, 46, 48, 49, 51, 53, 53, 53
446 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17, 20, 21, 24, 26, 27, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 44, 46, 47, 49, 50, 52, 53, 54
448 1, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 20, 21, 22, 25, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 45, 47, 48, 49, 52, 53, 54, 55
450 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 25, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 46, 48, 49, 50, 53, 54, 55
452 2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17, 20, 21, 23, 24, 26, 29, 30, 32, 33, 35, 36, 37, 38, 39, 41, 42, 44, 45, 47, 49, 50, 52, 53, 55, 56
454 1, 3, 5, 6, 7, 9, 11, 12, 14, 16, 16, 16, 18, 21, 22, 24, 26, 27, 28, 31, 33, 34, 36, 38, 38, 38, 40, 42, 43, 45, 47, 48, 49, 51, 53, 54, 56
456 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 17, 17, 17, 21, 22, 23, 24, 27, 28, 29, 33, 34, 35, 36, 39, 39, 39, 42, 43, 44, 45, 48, 49, 50, 53, 54, 55, 56
458 2, 3, 5, 7, 8, 9, 11, 13, 14, 16, 18, 18, 18, 21, 23, 24, 26, 28, 29, 30, 32, 35, 36, 38, 40, 40, 40, 42, 44, 45, 47, 49, 50, 51, 53, 55, 56
460 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 19, 21, 22, 24, 25, 27, 28, 30, 32, 33, 36, 37, 39, 40, 41, 42, 43, 45, 46, 48, 49, 51, 53, 54, 56, 57
462 1, 2, 3, 6, 7, 8, 10, 12, 13, 14, 17, 18, 19, 20, 22, 23, 24, 27, 28, 29, 31, 33, 34, 35, 39, 40, 41, 42, 43, 44, 45, 48, 49, 50, 52, 54, 55, 56
464 2, 3, 4, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 22, 23, 24, 25, 28, 29, 30, 32, 34, 35, 36, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51, 53, 55, 56, 57
466 1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 24, 25, 27, 28, 30, 31, 33, 35, 36, 38, 39, 42, 43, 44, 45, 46, 48, 49, 51, 52, 54, 56, 57
468 2, 2, 2, 5, 7, 8, 10, 12, 13, 14, 16, 18, 19, 21, 24, 24, 24, 26, 28, 29, 31, 33, 34, 35, 37, 39, 40, 43, 45, 45, 45, 47, 49, 50, 52, 54, 55, 56, 58
470 3, 3, 3, 7, 8, 9, 10, 13, 14, 15, 18, 19, 20, 21, 25, 25, 25, 28, 29, 30, 31, 34, 35, 36, 39, 40, 41, 42, 46, 46, 46, 49, 50, 51, 52, 55, 56, 57
472 2, 4, 4, 4, 6, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 26, 26, 26, 28, 30, 31, 33, 35, 36, 37, 39, 41, 42, 44, 47, 47, 47, 49, 51, 52, 54, 56, 57, 58
474 1, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16, 18, 19, 21, 22, 25, 26, 27, 28, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 45, 46, 48, 49, 50, 52, 53, 55, 56, 58
476 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17, 19, 20, 21, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 38, 40, 41, 42, 45, 46, 47, 49, 50, 51, 52, 55, 56, 57, 59
478 1, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 18, 20, 21, 22, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 39, 41, 42, 43, 46, 47, 48, 49, 51, 52, 53, 56, 57, 58
480 1, 3, 4, 6, 7, 8, 9, 10, 12, 13, 16, 17, 19, 21, 22, 25, 26, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 42, 43, 45, 46, 48, 49, 50, 52, 53, 55, 56, 58, 59
482 2, 4, 5, 7, 9, 9, 9, 11, 13, 14, 17, 19, 20, 21, 23, 26, 27, 29, 31, 31, 31, 33, 35, 36, 38, 40, 41, 42, 44, 46, 47, 49, 51, 51, 51, 54, 56, 57, 59
484 1, 4, 5, 6, 7, 10, 10, 10, 13, 14, 15, 16, 20, 21, 22, 26, 27, 28, 29, 32, 32, 32, 35, 36, 37, 38, 41, 42, 43, 46, 47, 48, 49, 52, 52, 52, 56, 57, 58, 59
486 1, 2, 4, 6, 7, 9, 11, 11, 11, 13, 15, 16, 18, 21, 22, 23, 26, 28, 29, 31, 33, 33, 33, 35, 37, 38, 40, 42, 43, 44, 46, 48, 49, 51, 53, 53, 53, 55, 58, 59
488 2, 4, 5, 7, 8, 10, 11, 12, 13, 14, 16, 17, 19, 20, 23, 26, 27, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 44, 46, 47, 49, 50, 52, 53, 54, 55, 56, 59, 60
490 1, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 24, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 45, 47, 48, 49, 52, 53, 54, 55, 56, 57, 58
492 1, 2, 4, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 25, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 46, 48, 49, 50, 53, 54, 55, 56, 57, 58, 59
494 2, 3, 5, 7, 8, 10, 11, 13, 14, 15, 16, 17, 19, 20, 22, 23, 26, 29, 30, 32, 33, 35, 36, 37, 38, 39, 41, 42, 44, 45, 47, 49, 50, 52, 53, 55, 56, 57, 58, 59
496 1, 3, 5, 6, 7, 9, 11, 12, 14, 16, 16, 16, 18, 20, 21, 23, 26, 27, 28, 31, 33, 34, 36, 38, 38, 38, 40, 42, 43, 45, 47, 48, 49, 51, 53, 54, 56, 58, 58, 58, 60
498 1, 2, 3, 6, 7, 8, 11, 12, 13, 14, 17, 17, 17, 20, 21, 22, 23, 27, 28, 29, 33, 34, 35, 36, 39, 39, 39, 42, 43, 44, 45, 48, 49, 50, 53, 54, 55, 56, 59, 59, 59
500 2, 3, 5, 7, 8, 9, 11, 13, 14, 16, 18, 18, 18, 20, 22, 23, 26, 28, 29, 30, 32, 35, 36, 38, 40, 40, 40, 42, 44, 45, 47, 49, 50, 51, 53, 55, 56, 58, 60, 60, 60

Fernando Q. Gouvêa ---- fqgouvea@colby.edu
Last modified: Sat May 27 16:39:47 Eastern Daylight Time 2000