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 |
14 | |
16 | 0 |
18 | 0 |
20 | 0 |
22 | 0 |
24 | 0, 0 |
26 | 0 |
28 | 0, 0 |
30 | 0, 0 |
32 | 0, 0 |
34 | 0, 0 |
36 | 0, 0, 0 |
38 | 0, 0 |
40 | 0, 0, 0 |
42 | 0, 0, 0 |
44 | 0, 0, 0 |
46 | 0, 0, 0 |
48 | 0, 0, 0, 0 |
50 | 0, 0, 0 |
52 | 0, 0, 0, 0 |
54 | 0, 0, 0, 0 |
56 | 0, 0, 0, 0 |
58 | 0, 0, 0, 0 |
60 | 0, 0, 0, 0, 0 |
62 | 0, 0, 0, 0 |
64 | 0, 0, 0, 0, 0 |
66 | 0, 0, 0, 0, 0 |
68 | 0, 0, 0, 0, 0 |
70 | 0, 0, 0, 0, 0 |
72 | 0, 0, 0, 0, 0, 1 |
74 | 0, 0, 0, 0, 0 |
76 | 0, 0, 0, 0, 0, 0 |
78 | 0, 0, 0, 0, 0, 0 |
80 | 0, 0, 0, 0, 0, 0 |
82 | 0, 0, 0, 0, 0, 0 |
84 | 0, 0, 0, 0, 0, 0, 0 |
86 | 0, 0, 0, 0, 0, 0 |
88 | 0, 0, 0, 0, 0, 0, 0 |
90 | 0, 0, 0, 0, 0, 0, 0 |
92 | 0, 0, 0, 0, 0, 0, 0 |
94 | 0, 0, 0, 0, 0, 0, 0 |
96 | 0, 0, 0, 0, 0, 0, 0, 0 |
98 | 0, 0, 0, 0, 0, 0, 0 |
100 | 0, 0, 0, 0, 0, 0, 0, 0 |
102 | 0, 0, 0, 0, 0, 0, 0, 0 |
104 | 0, 0, 0, 0, 0, 0, 0, 0 |
106 | 0, 0, 0, 0, 0, 0, 0, 0 |
108 | 0, 0, 0, 0, 0, 0, 0, 0, 0 |
110 | 0, 0, 0, 0, 0, 0, 0, 0 |
112 | 0, 0, 0, 0, 0, 0, 0, 0, 0 |
114 | 0, 0, 0, 0, 0, 0, 0, 0, 0 |
116 | 0, 0, 0, 0, 0, 0, 0, 0, 0 |
118 | 0, 0, 0, 0, 0, 0, 0, 0, 0 |
120 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
122 | 0, 0, 0, 0, 0, 0, 0, 0, 0 |
124 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 |
126 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
128 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
130 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
132 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
134 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
136 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
138 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
140 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
142 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
144 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
146 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
148 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
150 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
152 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
154 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
156 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
158 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
160 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
162 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
164 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
166 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
168 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
170 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
172 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
174 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
176 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
178 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
180 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
182 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
184 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
186 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
188 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
190 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
192 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
194 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 |
196 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
198 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
200 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
202 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
204 | 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
206 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
208 | 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
210 | 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
212 | 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
214 | 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
216 | 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
218 | 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
220 | 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
222 | 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
224 | 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
226 | 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
228 | 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
230 | 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
232 | 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
234 | 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
236 | 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
238 | 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |
240 | 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 |