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Rule properties:Rule descriptions:Algebraic form
Rule |
Algebraic form |
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Rule |
Algebraic form |
|
Rule |
Algebraic form |
0 |
0 |
|
1 |
Mod[(1 + p) (1 + q) (1 + r), 2] |
|
2 |
Mod[(1 + p) (1 + q) r, 2] |
3 |
Mod[(1 + p) (1 + q), 2] |
|
4 |
Mod[(1 + p) q (1 + r), 2] |
|
5 |
Mod[(1 + p) (1 + r), 2] |
6 |
Mod[(1 + p) (q + r), 2] |
|
7 |
Mod[(1 + p) (1 + q r), 2] |
|
8 |
Mod[(1 + p) q r, 2] |
9 |
Mod[(1 + p) (1 + q + r), 2] |
|
10 |
Mod[(1 + p) r, 2] |
|
11 |
Mod[(1 + p) (1 + q + q r), 2] |
12 |
Mod[(1 + p) q, 2] |
|
13 |
Mod[(1 + p) (1 + r + q r), 2] |
|
14 |
Mod[(1 + p) (q + r + q r), 2] |
15 |
Mod[1 + p, 2] |
|
16 |
Mod[p (1 + q) (1 + r), 2] |
|
17 |
Mod[(1 + q) (1 + r), 2] |
18 |
Mod[(1 + q) (p + r), 2] |
|
19 |
Mod[(1 + q) (1 + p r), 2] |
|
20 |
Mod[(p + q) (1 + r), 2] |
21 |
Mod[(1 + p q) (1 + r), 2] |
|
22 |
Mod[p + q + r + p q r, 2] |
|
23 |
Mod[1 + p q + p r + q r, 2] |
24 |
Mod[p + p q + p r + q r, 2] |
|
25 |
Mod[1 + q + r + p q r, 2] |
|
26 |
Mod[p + p q + r + p q r, 2] |
27 |
Mod[1 + q + p r + q r, 2] |
|
28 |
Mod[p + q + p r + p q r, 2] |
|
29 |
Mod[1 + p q + r + q r, 2] |
30 |
Mod[p + q + r + q r, 2] |
|
31 |
Mod[1 + p q + p r + p q r, 2] |
|
32 |
Mod[p (1 + q) r, 2] |
33 |
Mod[(1 + q) (1 + p + r), 2] |
|
34 |
Mod[(1 + q) r, 2] |
|
35 |
Mod[(1 + q) (1 + p + p r), 2] |
36 |
Mod[q + p q + p r + q r, 2] |
|
37 |
Mod[1 + p + r + p q r, 2] |
|
38 |
Mod[q + p q + r + p q r, 2] |
39 |
Mod[1 + p + p r + q r, 2] |
|
40 |
Mod[(p + q) r, 2] |
|
41 |
Mod[1 + p + q + p q + r + p q r, 2] |
42 |
Mod[(1 + p q) r, 2] |
|
43 |
Mod[1 + p + q + p q + p r + q r, 2] |
|
44 |
Mod[q + p q + p r + p q r, 2] |
45 |
Mod[1 + p + r + q r, 2] |
|
46 |
Mod[q + p q + r + q r, 2] |
|
47 |
Mod[1 + p + p r + p q r, 2] |
48 |
Mod[p (1 + q), 2] |
|
49 |
Mod[(1 + q) (1 + r + p r), 2] |
|
50 |
Mod[(1 + q) (p + r + p r), 2] |
51 |
Mod[1 + q, 2] |
|
52 |
Mod[p + q + q r + p q r, 2] |
|
53 |
Mod[1 + p q + r + p r, 2] |
54 |
Mod[p + q + r + p r, 2] |
|
55 |
Mod[1 + p q + q r + p q r, 2] |
|
56 |
Mod[p + p q + q r + p q r, 2] |
57 |
Mod[1 + q + r + p r, 2] |
|
58 |
Mod[p + p q + r + p r, 2] |
|
59 |
Mod[1 + q + q r + p q r, 2] |
60 |
Mod[p + q, 2] |
|
61 |
Mod[1 + p q + r + p r + q r + p q r, 2] |
|
62 |
Mod[p + q + r + p r + q r + p q r, 2] |
63 |
Mod[1 + p q, 2] |
|
64 |
Mod[p q (1 + r), 2] |
|
65 |
Mod[(1 + p + q) (1 + r), 2] |
66 |
Mod[p q + r + p r + q r, 2] |
|
67 |
Mod[1 + p + q + p q r, 2] |
|
68 |
Mod[q (1 + r), 2] |
69 |
Mod[(1 + p + p q) (1 + r), 2] |
|
70 |
Mod[q + r + p r + p q r, 2] |
|
71 |
Mod[1 + p + p q + q r, 2] |
72 |
Mod[q (p + r), 2] |
|
73 |
Mod[1 + p + q + r + p r + p q r, 2] |
|
74 |
Mod[p q + r + p r + p q r, 2] |
75 |
Mod[1 + p + q + q r, 2] |
|
76 |
Mod[q (1 + p r), 2] |
|
77 |
Mod[1 + p + p q + r + p r + q r, 2] |
78 |
Mod[q + r + p r + q r, 2] |
|
79 |
Mod[1 + p + p q + p q r, 2] |
|
80 |
Mod[p (1 + r), 2] |
81 |
Mod[(1 + q + p q) (1 + r), 2] |
|
82 |
Mod[p + r + q r + p q r, 2] |
|
83 |
Mod[1 + q + p q + p r, 2] |
84 |
Mod[(p + q + p q) (1 + r), 2] |
|
85 |
Mod[1 + r, 2] |
|
86 |
Mod[p + q + p q + r, 2] |
87 |
Mod[1 + p r + q r + p q r, 2] |
|
88 |
Mod[p + p r + q r + p q r, 2] |
|
89 |
Mod[1 + q + p q + r, 2] |
90 |
Mod[p + r, 2] |
|
91 |
Mod[1 + q + p q + p r + q r + p q r, 2] |
|
92 |
Mod[p + q + p q + p r, 2] |
93 |
Mod[1 + r + q r + p q r, 2] |
|
94 |
Mod[p + q + p q + r + q r + p q r, 2] |
|
95 |
Mod[1 + p r, 2] |
96 |
Mod[p (q + r), 2] |
|
97 |
Mod[1 + p + q + r + q r + p q r, 2] |
|
98 |
Mod[p q + r + q r + p q r, 2] |
99 |
Mod[1 + p + q + p r, 2] |
|
100 |
Mod[q + p r + q r + p q r, 2] |
|
101 |
Mod[1 + p + p q + r, 2] |
102 |
Mod[q + r, 2] |
|
103 |
Mod[1 + p + p q + p r + q r + p q r, 2] |
|
104 |
Mod[p q + p r + q r + p q r, 2] |
105 |
Mod[1 + p + q + r, 2] |
|
106 |
Mod[p q + r, 2] |
|
107 |
Mod[1 + p + q + p r + q r + p q r, 2] |
108 |
Mod[q + p r, 2] |
|
109 |
Mod[1 + p + p q + r + q r + p q r, 2] |
|
110 |
Mod[q + r + q r + p q r, 2] |
111 |
Mod[1 + p + p q + p r, 2] |
|
112 |
Mod[p (1 + q r), 2] |
|
113 |
Mod[1 + q + p q + r + p r + q r, 2] |
114 |
Mod[p + r + p r + q r, 2] |
|
115 |
Mod[1 + q + p q + p q r, 2] |
|
116 |
Mod[p + q + p q + q r, 2] |
117 |
Mod[1 + r + p r + p q r, 2] |
|
118 |
Mod[p + q + p q + r + p r + p q r, 2] |
|
119 |
Mod[1 + q r, 2] |
120 |
Mod[p + q r, 2] |
|
121 |
Mod[1 + q + p q + r + p r + p q r, 2] |
|
122 |
Mod[p + r + p r + p q r, 2] |
123 |
Mod[1 + q + p q + q r, 2] |
|
124 |
Mod[p + q + p q + p q r, 2] |
|
125 |
Mod[1 + r + p r + q r, 2] |
126 |
Mod[p + q + p q + r + p r + q r, 2] |
|
127 |
Mod[1 + p q r, 2] |
|
128 |
p q r |
129 |
Mod[1 + p + q + p q + r + p r + q r, 2] |
|
130 |
Mod[(1 + p + q) r, 2] |
|
131 |
Mod[1 + p + q + p q + p q r, 2] |
132 |
Mod[q (1 + p + r), 2] |
|
133 |
Mod[1 + p + r + p r + p q r, 2] |
|
134 |
Mod[q + p q + r + p r + p q r, 2] |
135 |
Mod[1 + p + q r, 2] |
|
136 |
q r |
|
137 |
Mod[1 + p + q + p q + r + p r + p q r, 2] |
138 |
Mod[(1 + p + p q) r, 2] |
|
139 |
Mod[1 + p + q + p q + q r, 2] |
|
140 |
Mod[q (1 + p + p r), 2] |
141 |
Mod[1 + p + r + p r + q r, 2] |
|
142 |
Mod[q + p q + r + p r + q r, 2] |
|
143 |
Mod[1 + p + p q r, 2] |
144 |
Mod[p (1 + q + r), 2] |
|
145 |
Mod[1 + q + r + q r + p q r, 2] |
|
146 |
Mod[p + p q + r + q r + p q r, 2] |
147 |
Mod[1 + q + p r, 2] |
|
148 |
Mod[p + q + p r + q r + p q r, 2] |
|
149 |
Mod[1 + p q + r, 2] |
150 |
Mod[p + q + r, 2] |
|
151 |
Mod[1 + p q + p r + q r + p q r, 2] |
|
152 |
Mod[p + p q + p r + q r + p q r, 2] |
153 |
Mod[1 + q + r, 2] |
|
154 |
Mod[p + p q + r, 2] |
|
155 |
Mod[1 + q + p r + q r + p q r, 2] |
156 |
Mod[p + q + p r, 2] |
|
157 |
Mod[1 + p q + r + q r + p q r, 2] |
|
158 |
Mod[p + q + r + q r + p q r, 2] |
159 |
Mod[1 + p q + p r, 2] |
|
160 |
p r |
|
161 |
Mod[1 + p + q + p q + r + q r + p q r, 2] |
162 |
Mod[(1 + q + p q) r, 2] |
|
163 |
Mod[1 + p + q + p q + p r, 2] |
|
164 |
Mod[q + p q + p r + q r + p q r, 2] |
165 |
Mod[1 + p + r, 2] |
|
166 |
Mod[q + p q + r, 2] |
|
167 |
Mod[1 + p + p r + q r + p q r, 2] |
168 |
Mod[(p + q + p q) r, 2] |
|
169 |
Mod[1 + p + q + p q + r, 2] |
|
170 |
r |
171 |
Mod[1 + p + q + p q + p r + q r + p q r, 2] |
|
172 |
Mod[q + p q + p r, 2] |
|
173 |
Mod[1 + p + r + q r + p q r, 2] |
174 |
Mod[q + p q + r + q r + p q r, 2] |
|
175 |
Mod[1 + p + p r, 2] |
|
176 |
Mod[p (1 + q + q r), 2] |
177 |
Mod[1 + q + r + p r + q r, 2] |
|
178 |
Mod[p + p q + r + p r + q r, 2] |
|
179 |
Mod[1 + q + p q r, 2] |
180 |
Mod[p + q + q r, 2] |
|
181 |
Mod[1 + p q + r + p r + p q r, 2] |
|
182 |
Mod[p + q + r + p r + p q r, 2] |
183 |
Mod[1 + p q + q r, 2] |
|
184 |
Mod[p + p q + q r, 2] |
|
185 |
Mod[1 + q + r + p r + p q r, 2] |
186 |
Mod[p + p q + r + p r + p q r, 2] |
|
187 |
Mod[1 + q + q r, 2] |
|
188 |
Mod[p + q + p q r, 2] |
189 |
Mod[1 + p q + r + p r + q r, 2] |
|
190 |
Mod[p + q + r + p r + q r, 2] |
|
191 |
Mod[1 + p q + p q r, 2] |
192 |
p q |
|
193 |
Mod[1 + p + q + r + p r + q r + p q r, 2] |
|
194 |
Mod[p q + r + p r + q r + p q r, 2] |
195 |
Mod[1 + p + q, 2] |
|
196 |
Mod[q (1 + r + p r), 2] |
|
197 |
Mod[1 + p + p q + r + p r, 2] |
198 |
Mod[q + r + p r, 2] |
|
199 |
Mod[1 + p + p q + q r + p q r, 2] |
|
200 |
Mod[q (p + r + p r), 2] |
201 |
Mod[1 + p + q + r + p r, 2] |
|
202 |
Mod[p q + r + p r, 2] |
|
203 |
Mod[1 + p + q + q r + p q r, 2] |
204 |
q |
|
205 |
Mod[1 + p + p q + r + p r + q r + p q r, 2] |
|
206 |
Mod[q + r + p r + q r + p q r, 2] |
207 |
Mod[1 + p + p q, 2] |
|
208 |
Mod[p (1 + r + q r), 2] |
|
209 |
Mod[1 + q + p q + r + q r, 2] |
210 |
Mod[p + r + q r, 2] |
|
211 |
Mod[1 + q + p q + p r + p q r, 2] |
|
212 |
Mod[p + q + p q + p r + q r, 2] |
213 |
Mod[1 + r + p q r, 2] |
|
214 |
Mod[p + q + p q + r + p q r, 2] |
|
215 |
Mod[1 + p r + q r, 2] |
216 |
Mod[p + p r + q r, 2] |
|
217 |
Mod[1 + q + p q + r + p q r, 2] |
|
218 |
Mod[p + r + p q r, 2] |
219 |
Mod[1 + q + p q + p r + q r, 2] |
|
220 |
Mod[p + q + p q + p r + p q r, 2] |
|
221 |
Mod[1 + r + q r, 2] |
222 |
Mod[p + q + p q + r + q r, 2] |
|
223 |
Mod[1 + p r + p q r, 2] |
|
224 |
Mod[p (q + r + q r), 2] |
225 |
Mod[1 + p + q + r + q r, 2] |
|
226 |
Mod[p q + r + q r, 2] |
|
227 |
Mod[1 + p + q + p r + p q r, 2] |
228 |
Mod[q + p r + q r, 2] |
|
229 |
Mod[1 + p + p q + r + p q r, 2] |
|
230 |
Mod[q + r + p q r, 2] |
231 |
Mod[1 + p + p q + p r + q r, 2] |
|
232 |
Mod[p q + p r + q r, 2] |
|
233 |
Mod[1 + p + q + r + p q r, 2] |
234 |
Mod[p q + r + p q r, 2] |
|
235 |
Mod[1 + p + q + p r + q r, 2] |
|
236 |
Mod[q + p r + p q r, 2] |
237 |
Mod[1 + p + p q + r + q r, 2] |
|
238 |
q + r - q r |
|
239 |
Mod[1 + p + p q + p r + p q r, 2] |
240 |
p |
|
241 |
Mod[1 + q + p q + r + p r + q r + p q r, 2] |
|
242 |
Mod[p + r + p r + q r + p q r, 2] |
243 |
Mod[1 + q + p q, 2] |
|
244 |
Mod[p + q + p q + q r + p q r, 2] |
|
245 |
Mod[1 + r + p r, 2] |
246 |
Mod[p + q + p q + r + p r, 2] |
|
247 |
Mod[1 + q r + p q r, 2] |
|
248 |
Mod[p + q r + p q r, 2] |
249 |
Mod[1 + q + p q + r + p r, 2] |
|
250 |
p + r - p r |
|
251 |
Mod[1 + q + p q + q r + p q r, 2] |
252 |
p + q - p q |
|
253 |
Mod[1 + r + p r + q r + p q r, 2] |
|
254 |
q + p (-1 + q) (-1 + r) + r - q r |
255 |
1 |
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