1R = QQ[x1, x2, x3, x4, x5, x6, x7, x8];
2I = monomialIdeal(
3 x1^10*x2^10*x3^7*x6^8*x7^7,
4 x1^10*x2^10*x3^7*x6^7*x7^8,
5 x1^10*x2^10*x3^5*x6^7*x7^10*x8^9,
6 x1^10*x2^10*x3^5*x6^7*x7^9,
7 x1^10*x2^10*x3^5*x6^6*x8^9,
8 x1^10*x2^10*x3^4*x6^7*x7^10,
9 x1^10*x2^10*x3^4*x6^6,
10 x1^10*x2^7*x4^7*x5^6*x7^7*x8^9,
11 x1^10*x2^7*x5^3*x6^7*x7^10*x8^8,
12 x1^10*x2^7*x5^3*x6^6*x8^8,
13 x1^10*x2^7*x5^3*x7^7*x8^8,
14 x1^10*x2^6*x3^8*x5^3*x6^10*x7^8,
15 x1^10*x2^6*x3^7*x5^6*x6^9*x7^8*x8^9,
16 x1^10*x2^6*x3^7*x5^5*x6^10*x7^8*x8^9,
17 x1^10*x2^6*x3^7*x6^8*x7^8,
18 x1^10*x2^6*x3^6*x4^8*x5^6*x7^10*x8^9,
19 x1^10*x2^6*x3^6*x5^5*x6^8*x7^10,
20 x1^10*x2^6*x3^6*x5^5*x7^10*x8^9,
21 x1^10*x2^6*x3^6*x5^3*x7^10,
22 x1^10*x2^6*x3^5*x5^6*x6^9*x7^10*x8^9,
23 x1^10*x2^6*x3^5*x6^8*x7^10,
24 x1^10*x2^6*x3^5*x6^6,
25 x1^10*x2^6*x3^4*x4^8*x5^6*x7^10,
26 x1^10*x2^6*x3^4*x5^6*x6^9*x7^10,
27 x1^10*x2^6*x3^4*x5^5*x7^10,
28 x1^10*x2^6*x4,
29 x1^10*x2^6*x5^3*x6^10*x7^8*x8^8,
30 x1^10*x2^5*x3^6*x4^8*x5^6*x8^9,
31 x1^10*x2^5*x3^6*x5^5*x8^9,
32 x1^10*x2^5*x3^6*x5^3,
33 x1^10*x2^5*x3^4*x4^8*x5^6,
34 x1^10*x2^5*x3^4*x5^5,
35 x1^10*x2^3*x5^3*x7^7,
36 x1^10*x2^2*x4^8*x5^6*x7^7*x8^9,
37 x1^10*x2^2*x5^6*x7^5*x8^9,
38 x1^10*x2^2*x5^5*x7^7*x8^9,
39 x1^10*x3^9*x4^7*x5^6*x7^7*x8^9,
40 x1^10*x3^9*x5^3*x6^7*x7^10*x8^8,
41 x1^10*x3^9*x5^3*x6^6*x8^8,
42 x1^10*x3^9*x5^3*x7^7*x8^8,
43 x1^10*x3^8*x5^3*x6^7*x7^10,
44 x1^10*x3^8*x5^3*x6^6,
45 x1^10*x3^8*x5^3*x7^7,
46 x1^10*x3^7*x4^8*x5^6*x7^7*x8^9,
47 x1^10*x3^7*x5^7*x6^8*x7^7,
48 x1^10*x3^7*x5^7*x6^7*x7^8,
49 x1^10*x3^7*x5^6*x6^9*x7^7*x8^9,
50 x1^10*x3^7*x5^6*x7^5*x8^9,
51 x1^10*x3^7*x5^5*x6^7*x7^10,
52 x1^10*x3^7*x5^5*x6^6,
53 x1^10*x3^7*x5^5*x7^7*x8^9,
54 x1^10*x3^6*x4^5*x5^6*x7^10*x8^9,
55 x1^10*x3^6*x4^5*x5^3*x7^10,
56 x1^10*x3^6*x4^3*x5^6*x8^9,
57 x1^10*x3^6*x4^3*x5^3,
58 x1^10*x3^6*x4^2*x8^9,
59 x1^10*x3^5*x5^7*x6^7*x7^10*x8^9,
60 x1^10*x3^5*x5^7*x6^7*x7^9,
61 x1^10*x3^5*x5^7*x6^6*x8^9,
62 x1^10*x3^4*x4^8*x5^6*x7^7,
63 x1^10*x3^4*x4^5*x5^6*x7^10,
64 x1^10*x3^4*x4^3*x5^6,
65 x1^10*x3^4*x4^2,
66 x1^10*x3^4*x5^7*x6^7*x7^10,
67 x1^10*x3^4*x5^7*x6^6,
68 x1^10*x3^4*x5^6*x6^9*x7^7,
69 x1^10*x3^4*x5^6*x7^5,
70 x1^10*x3^4*x5^5*x7^7,
71 x1^10*x4^10*x5^3*x7^7*x8^8,
72 x1^10*x4^9*x5^3*x7^7,
73 x1^10*x4^7*x5^6*x7^7*x8^7,
74 x1^10*x4^6*x5^6*x7^7*x8^9,
75 x1^10*x4^3*x5^6*x7^8*x8^9,
76 x1^10*x4^3*x5^3*x7^8,
77 x1^10*x4^2*x7^8*x8^9,
78 x1^10*x4*x5^5,
79 x1^10*x4*x7^9,
80 x1^10*x4*x8^9,
81 x1^8*x2^10*x3^7*x4^8*x6^8*x7^10*x8^5,
82 x1^8*x2^10*x3^7*x6^8*x7^8,
83 x1^8*x2^10*x3^6*x4^8*x6^8*x7^10*x8^9,
84 x1^8*x2^10*x3^6*x4^8*x6^8*x7^9,
85 x1^8*x2^10*x3^5*x6^8*x7^10*x8^9,
86 x1^8*x2^10*x3^5*x6^8*x7^9,
87 x1^8*x2^10*x3^4*x6^8*x7^10,
88 x1^8*x2^10*x4^7*x6^8*x7^10*x8^5,
89 x1^8*x2^10*x4^7*x6^8*x7^8,
90 x1^8*x2^9*x3^6*x4^8*x5^6*x7^10*x8^9,
91 x1^8*x2^9*x3^6*x5^5*x7^10*x8^9,
92 x1^8*x2^9*x3^5*x5^6*x7^10*x8^9,
93 x1^8*x2^7*x5^3*x6^10*x7^8,
94 x1^8*x2^7*x5^3*x6^7*x7^10,
95 x1^8*x2^7*x5^3*x6^6,
96 x1^8*x2^7*x5^3*x7^7,
97 x1^8*x2^7*x5^2*x6^7,
98 x1^8*x2^5*x3^5*x5^6*x8^9,
99 x1^8*x2^5*x3^4*x5^6,
100 x1^8*x2^5*x5^3*x6^7,
101 x1^8*x2^3*x3^7*x5^6*x8^5,
102 x1^8*x2^3*x3^6*x5^6*x8^9,
103 x1^8*x2^2*x5^6*x6^10*x7^8*x8^9,
104 x1^8*x2^2*x5^6*x7^7*x8^9,
105 x1^8*x2^2*x5^6*x8^5,
106 x1^8*x3^9*x5^3*x6^10*x7^8,
107 x1^8*x3^9*x5^3*x6^7*x7^10,
108 x1^8*x3^9*x5^3*x6^6,
109 x1^8*x3^9*x5^3*x7^7,
110 x1^8*x3^9*x5^2*x6^7,
111 x1^8*x3^7*x4^8*x5^7*x6^8*x7^10*x8^5,
112 x1^8*x3^7*x4^8*x5^6*x7^10*x8^5,
113 x1^8*x3^7*x5^7*x6^8*x7^8,
114 x1^8*x3^7*x5^6*x6^10*x7^8*x8^9,
115 x1^8*x3^7*x5^6*x7^8*x8^5,
116 x1^8*x3^7*x5^6*x7^7*x8^9,
117 x1^8*x3^7*x5^5*x7^10*x8^5,
118 x1^8*x3^6*x4^8*x5^7*x6^8*x7^10*x8^9,
119 x1^8*x3^6*x4^8*x5^7*x6^8*x7^9,
120 x1^8*x3^6*x4^8*x5^6*x7^10*x8^6,
121 x1^8*x3^6*x4^6*x5^6*x7^10*x8^9,
122 x1^8*x3^6*x4^6*x6^8*x7^10*x8^9,
123 x1^8*x3^6*x4^6*x6^8*x7^9,
124 x1^8*x3^6*x5^6*x7^8*x8^9,
125 x1^8*x3^6*x5^5*x6^8*x7^10,
126 x1^8*x3^6*x5^5*x7^10*x8^6,
127 x1^8*x3^6*x5^4*x7^10*x8^9,
128 x1^8*x3^6*x5^3*x7^10,
129 x1^8*x3^6*x5^2,
130 x1^8*x3^5*x5^7*x6^8*x7^10*x8^9,
131 x1^8*x3^5*x5^7*x6^8*x7^9,
132 x1^8*x3^5*x5^6*x7^10*x8^6,
133 x1^8*x3^4*x4^6*x6^8*x7^10,
134 x1^8*x3^4*x5^7*x6^8*x7^10,
135 x1^8*x3^4*x5^6*x7^10,
136 x1^8*x4^10*x5^3*x6^10*x7^8,
137 x1^8*x4^10*x5^3*x6^7*x7^10,
138 x1^8*x4^10*x5^3*x6^6,
139 x1^8*x4^10*x5^3*x7^7,
140 x1^8*x4^10*x5^2*x6^7,
141 x1^8*x4^7*x5^7*x6^8*x7^10*x8^5,
142 x1^8*x4^7*x5^7*x6^8*x7^8,
143 x1^8*x4^7*x5^6*x6^10*x7^8*x8^9,
144 x1^8*x4^7*x5^6*x7^10*x8^5,
145 x1^8*x4^6*x6^8*x7^10*x8^5,
146 x1^8*x4^6*x6^8*x7^8,
147 x1^8*x5^3*x6^5,
148 x1^8*x5^3*x7^10*x8^5,
149 x1^8*x5^2*x8^5,
150 x1^7*x2^10*x3^7*x4^8*x6^7*x7^10,
151 x1^7*x2^10*x3^7*x4^8*x6^6,
152 x1^7*x2^10*x3^6*x4^8*x6^8*x7^10,
153 x1^7*x2^10*x3^5*x6^8*x7^10,
154 x1^7*x2^10*x3^5*x6^6,
155 x1^7*x2^10*x4^7*x6^7*x7^10,
156 x1^7*x2^10*x4^7*x6^6,
157 x1^7*x2^9*x3^6*x4^8*x5^6*x7^10,
158 x1^7*x2^9*x3^6*x5^5*x7^10,
159 x1^7*x2^9*x3^5*x5^6*x7^10,
160 x1^7*x2^7*x4^7*x5^6*x7^7,
161 x1^7*x2^7*x4^7*x7,
162 x1^7*x2^5*x3^6*x4^8*x5^6,
163 x1^7*x2^5*x3^6*x5^5,
164 x1^7*x2^5*x3^5*x5^6,
165 x1^7*x2^3*x3^6*x5^6,
166 x1^7*x2^2*x5^6*x6^10*x7^8,
167 x1^7*x2^2*x5^6*x7^7,
168 x1^7*x2^2*x7,
169 x1^7*x3^9*x4^7*x5^6*x7^7,
170 x1^7*x3^9*x4^7*x7,
171 x1^7*x3^7*x4^8*x5^7*x6^7*x7^10,
172 x1^7*x3^7*x4^8*x5^7*x6^6,
173 x1^7*x3^7*x5^6*x6^10*x7^8,
174 x1^7*x3^7*x5^6*x7^7,
175 x1^7*x3^7*x7,
176 x1^7*x3^6*x4^8*x5^7*x6^8*x7^10,
177 x1^7*x3^6*x4^6*x5^6*x7^10,
178 x1^7*x3^6*x4^6*x6^8*x7^10,
179 x1^7*x3^6*x4^3*x5^6,
180 x1^7*x3^6*x4^3*x6^8,
181 x1^7*x3^6*x4^2,
182 x1^7*x3^6*x5^6*x7^8,
183 x1^7*x3^6*x5^4*x7^10,
184 x1^7*x3^5*x5^7*x6^8*x7^10,
185 x1^7*x3^5*x5^7*x6^6,
186 x1^7*x4^7*x5^7*x6^7*x7^10,
187 x1^7*x4^7*x5^7*x6^6,
188 x1^7*x4^7*x5^6*x6^10*x7^8,
189 x1^7*x4^7*x6^10*x7,
190 x1^7*x4^6*x5^6*x7^7,
191 x1^7*x4^6*x6^7*x7^10,
192 x1^7*x4^6*x6^6,
193 x1^7*x4^6*x7,
194 x1^7*x4^3*x5^6*x7^8,
195 x1^7*x4^3*x6^7,
196 x1^7*x4^2*x7^8,
197 x1^7*x4,
198 x1^6*x2^9*x3^6*x4^8*x5^6,
199 x1^6*x2^9*x3^6*x5^5,
200 x1^6*x2^9*x3^5*x5^6,
201 x1^6*x2^7*x4^7*x5^6*x7^8,
202 x1^6*x2^7*x5^3*x6^7,
203 x1^6*x2^7*x5^3*x7^8,
204 x1^6*x2^2*x5^6*x7^8,
205 x1^6*x2*x4^8*x7^8,
206 x1^6*x2*x5^8*x7^8,
207 x1^6*x2*x7^8*x8^9,
208 x1^6*x3^9*x4^7*x5^6*x7^8,
209 x1^6*x3^9*x5^3*x6^7,
210 x1^6*x3^9*x5^3*x7^8,
211 x1^6*x3^7*x4^8*x5^6*x8^5,
212 x1^6*x3^7*x4^8*x6^8*x8^5,
213 x1^6*x3^7*x4^8*x6^7,
214 x1^6*x3^7*x5^6*x7^8,
215 x1^6*x3^7*x5^5*x6^7,
216 x1^6*x3^7*x5^5*x8^5,
217 x1^6*x3^7*x6^8*x7^8,
218 x1^6*x3^6*x4^8*x5^6*x8^6,
219 x1^6*x3^6*x4^8*x6^8,
220 x1^6*x3^6*x4^6*x5^6,
221 x1^6*x3^6*x5^5*x6^8,
222 x1^6*x3^6*x5^5*x8^6,
223 x1^6*x3^6*x5^4,
224 x1^6*x3^5*x5^6*x8^6,
225 x1^6*x3^5*x6^8,
226 x1^6*x3^5*x8,
227 x1^6*x3^4*x5^6,
228 x1^6*x4^10*x5^3*x6^7,
229 x1^6*x4^10*x5^3*x7^8,
230 x1^6*x4^8*x5^6*x8^4,
231 x1^6*x4^8*x6^8*x8^4,
232 x1^6*x4^8*x8,
233 x1^6*x4^7*x5^6*x7^8*x8^7,
234 x1^6*x4^7*x5^6*x8^5,
235 x1^6*x4^7*x6^8*x7^8,
236 x1^6*x4^7*x6^8*x8^5,
237 x1^6*x4^7*x6^7,
238 x1^6*x4^6*x5^6*x7^8,
239 x1^6*x5^5*x8^4,
240 x1^6*x5^3*x8^5,
241 x1^6*x6^8*x7^8*x8^4,
242 x1^5*x2^7*x5^6*x7^8,
243 x1^5*x2^7*x7,
244 x1^5*x2^3*x5^6*x8^5,
245 x1^5*x2^3*x6^8*x8^5,
246 x1^5*x2^3*x6^7,
247 x1^5*x3^9*x5^6*x7^8,
248 x1^5*x3^9*x7,
249 x1^5*x4^8*x5^6*x8^5,
250 x1^5*x4^8*x6^8*x8^5,
251 x1^5*x4^8*x6^7,
252 x1^5*x5^6*x6^10*x7^8,
253 x1^5*x5^6*x7^8*x8^7,
254 x1^5*x5^5*x6^7,
255 x1^5*x5^5*x8^5,
256 x1^5*x5^3*x7^8,
257 x1^5*x6^10*x7,
258 x1^5*x6^8*x7^8,
259 x1^5*x6^5,
260 x1^5*x7*x8^7,
261 x1^4*x2^9*x3^6*x5^6,
262 x1^4*x3^6*x5^6*x8^6,
263 x1^4*x3^6*x6^8,
264 x1^4*x5^7*x6^7,
265 x1^4*x5^6*x8^5,
266 x1^4*x6^8*x8^5,
267 x1^4*x6^7*x8^10,
268 x1^4*x6^6,
269 x1^4*x8,
270 x1^3*x2^7*x4^8,
271 x1^3*x2^7*x5^8*x7^8,
272 x1^3*x2^7*x5^8*x8^10,
273 x1^3*x2^7*x5^7,
274 x1^3*x2^7*x7^6,
275 x1^3*x2^7*x8^9,
276 x1^3*x2^3*x5^8,
277 x1^3*x2^3*x6^10,
278 x1^3*x3^9*x4^8,
279 x1^3*x3^9*x5^8*x7^8,
280 x1^3*x3^9*x5^8*x8^10,
281 x1^3*x3^9*x5^7,
282 x1^3*x3^9*x7^6,
283 x1^3*x3^9*x8^9,
284 x1^3*x3^6*x5^8,
285 x1^3*x3^6*x6^10,
286 x1^3*x3^3,
287 x1^3*x4^8*x6^10,
288 x1^3*x4^6,
289 x1^3*x5^7*x6^10,
290 x1^3*x5^3,
291 x1^3*x6^10*x7^8,
292 x1^3*x6^10*x8^10,
293 x1^3*x8^7,
294 x1^2*x2^7*x7^8,
295 x1^2*x2^7*x8^10,
296 x1^2*x2^3,
297 x1^2*x3^9*x7^8,
298 x1^2*x3^9*x8^10,
299 x1^2*x3^6,
300 x1,
301 x2^10*x3^7*x4^10*x6^8*x7^7,
302 x2^10*x3^7*x4^10*x6^7*x7^8,
303 x2^10*x3^7*x4^8*x6^7*x7^10*x8^9,
304 x2^10*x3^7*x4^8*x6^7*x7^9,
305 x2^10*x3^7*x4^8*x6^6*x8^9,
306 x2^10*x3^7*x6^8*x7^7*x8^5,
307 x2^10*x3^7*x6^8*x7^4,
308 x2^10*x3^7*x6^7*x7^8*x8^5,
309 x2^10*x3^5*x4^10*x6^7*x7^10*x8^9,
310 x2^10*x3^5*x4^10*x6^7*x7^9,
311 x2^10*x3^5*x4^10*x6^6*x8^9,
312 x2^10*x3^5*x6^8*x7^10*x8^4,
313 x2^10*x3^5*x6^7*x7^10*x8^5,
314 x2^10*x3^5*x6^6*x8^5,
315 x2^10*x3^4*x4^10*x6^7*x7^10,
316 x2^10*x3^4*x4^10*x6^6,
317 x2^10*x3^3*x6^8,
318 x2^10*x4^8*x6^8*x7^10*x8^4,
319 x2^10*x4^8*x6^6*x8^4,
320 x2^10*x4^7*x6^8*x7^7,
321 x2^10*x4^7*x6^7*x7^10*x8^9,
322 x2^10*x4^7*x6^7*x7^9,
323 x2^10*x4^7*x6^6*x8^9,
324 x2^10*x6^8*x7^8*x8^4,
325 x2^7*x4^7*x5^6*x7^3*x8^9,
326 x2^7*x4^7*x7*x8^9,
327 x2^7*x5^3*x6^10*x7^4*x8^8,
328 x2^7*x5^3*x7^3*x8^8,
329 x2^7*x5^3*x7^2,
330 x2^7*x5^2*x6^7*x8^8,
331 x2^7*x5^2*x7^7*x8^8,
332 x2^7*x5*x6^7,
333 x2^7*x5*x7^8,
334 x2^6*x3^8*x4^10*x5^3*x6^10*x7^8,
335 x2^6*x3^8*x5^2*x6^10*x7^8,
336 x2^6*x3^7*x4^10*x5^6*x6^9*x7^8*x8^9,
337 x2^6*x3^7*x4^10*x5^5*x6^10*x7^8*x8^9,
338 x2^6*x3^7*x4^10*x6^8*x7^8,
339 x2^6*x3^7*x4^8*x5^6*x6^10*x7^8*x8^9,
340 x2^6*x3^7*x4^8*x5^6*x7^10*x8^5,
341 x2^6*x3^7*x4^8*x6^8*x7^10*x8^5,
342 x2^6*x3^7*x4^8*x6^7*x7^10,
343 x2^6*x3^7*x4^8*x6^6,
344 x2^6*x3^7*x5^6*x6^9*x7^8*x8^5,
345 x2^6*x3^7*x5^5*x7^10*x8^5,
346 x2^6*x3^7*x6^8*x7^8*x8^5,
347 x2^6*x3^6*x4^10*x5^5*x6^10*x7^10*x8^9,
348 x2^6*x3^6*x4^10*x5^5*x6^8*x7^10,
349 x2^6*x3^6*x4^10*x5^3*x6^10*x7^10,
350 x2^6*x3^6*x4^8*x5^6*x6^10*x7^10*x8^9,
351 x2^6*x3^6*x4^8*x6^8*x7^10,
352 x2^6*x3^6*x4^3*x6^8,
353 x2^6*x3^6*x5^2,
354 x2^6*x3^5*x4^10*x5^6*x6^9*x7^10*x8^9,
355 x2^6*x3^5*x4^10*x6^8*x7^10,
356 x2^6*x3^5*x4^10*x6^6,
357 x2^6*x3^5*x5^6*x6^9*x7^10*x8^5,
358 x2^6*x3^5*x6^8*x7^10*x8^5,
359 x2^6*x3^4*x4^10*x5^6*x6^9*x7^10,
360 x2^6*x3^4*x4^10*x5^5*x6^10*x7^10,
361 x2^6*x3^4*x4^8*x5^6*x6^10*x7^10,
362 x2^6*x4^10*x5^3*x6^10*x7^8*x8^8,
363 x2^6*x4^9*x5^3*x6^10*x7^8,
364 x2^6*x4^7*x5^6*x6^10*x7^8*x8^9,
365 x2^6*x4^7*x5^6*x7^10*x8^5,
366 x2^6*x4^7*x6^8*x7^10*x8^5,
367 x2^6*x4^7*x6^8*x7^8,
368 x2^6*x4^7*x6^7*x7^10,
369 x2^6*x4^7*x6^6,
370 x2^6*x4^3*x6^7,
371 x2^6*x4*x6^10,
372 x2^6*x5^3*x7^10*x8^5,
373 x2^6*x5^2*x6^10*x7^8*x8^8,
374 x2^6*x5^2*x8^5,
375 x2^5*x3^8*x5^3*x6^10*x7^8,
376 x2^5*x3^8*x5^3*x6^7,
377 x2^5*x3^7*x4^8*x5^6*x8^5,
378 x2^5*x3^7*x4^8*x6^8*x8^5,
379 x2^5*x3^7*x4^8*x6^7,
380 x2^5*x3^7*x5^6*x6^10*x7^5*x8^9,
381 x2^5*x3^7*x5^6*x6^9*x7^8*x8^9,
382 x2^5*x3^7*x5^5*x6^10*x7^8*x8^9,
383 x2^5*x3^7*x5^5*x6^7,
384 x2^5*x3^7*x5^5*x8^5,
385 x2^5*x3^7*x6^8*x7^8,
386 x2^5*x3^6*x4^8*x5^6*x6^10*x8^9,
387 x2^5*x3^6*x4^8*x6^8,
388 x2^5*x3^6*x5^5*x6^10*x8^9,
389 x2^5*x3^6*x5^5*x6^8,
390 x2^5*x3^6*x5^3*x6^10,
391 x2^5*x3^5*x5^6*x6^9*x8^9,
392 x2^5*x3^5*x5^6*x8^4,
393 x2^5*x3^5*x6^8,
394 x2^5*x3^5*x8,
395 x2^5*x3^4*x4^8*x5^6*x6^10,
396 x2^5*x3^4*x5^6*x6^10*x7^5,
397 x2^5*x3^4*x5^6*x6^9,
398 x2^5*x3^4*x5^5*x6^10,
399 x2^5*x4^9*x5^3*x6^7,
400 x2^5*x4^8*x5^6*x8^4,
401 x2^5*x4^8*x6^8*x8^4,
402 x2^5*x4^8*x8,
403 x2^5*x4^7*x5^6*x8^5,
404 x2^5*x4^7*x6^8*x8^5,
405 x2^5*x4^7*x6^7,
406 x2^5*x5^5*x8^4,
407 x2^5*x5^3*x6^10*x7^8*x8^8,
408 x2^5*x5^3*x6^7*x8^8,
409 x2^5*x5^3*x8^5,
410 x2^3*x3^7*x5^6*x6^9*x8^5,
411 x2^3*x3^7*x6^8*x8^5,
412 x2^3*x3^7*x6^7,
413 x2^3*x3^6*x5^6*x6^9*x8^9,
414 x2^3*x3^6*x6^8,
415 x2^3*x5^6*x8^4,
416 x2^3*x5^3*x6^10*x7^8,
417 x2^3*x5^3*x6^7,
418 x2^3*x5^3*x7^3,
419 x2^3*x5^2*x7^7,
420 x2^3*x6^8*x8^4,
421 x2^3*x8,
422 x2^2*x3,
423 x2^2*x4^8*x5^6*x6^10*x7^8*x8^9,
424 x2^2*x4^8*x5^6*x8^5,
425 x2^2*x5^6*x6^10*x7^5*x8^9,
426 x2^2*x5^6*x6^9*x7^8*x8^9,
427 x2^2*x5^6*x6^9*x8^5,
428 x2^2*x5^6*x7^5*x8^5,
429 x2^2*x5^6*x7^3*x8^9,
430 x2^2*x5^5*x6^10*x7^8*x8^9,
431 x2^2*x5^5*x8^5,
432 x2^2*x6^8*x7^8,
433 x2^2*x6^8*x8^5,
434 x2^2*x6^7,
435 x2^2*x7*x8^9,
436 x2*x3^6*x4^8,
437 x2*x3^6*x5^8,
438 x2*x3^6*x6^10,
439 x2*x3^6*x8^9,
440 x2*x3^3,
441 x2*x4^8*x7^7,
442 x2*x4^3*x7^8,
443 x2*x4,
444 x2*x5^8*x7^7,
445 x2*x6^10*x7^8,
446 x2*x7^7*x8^9,
447 x2*x7^6,
448 x2*x8^5,
449 x3^9*x4^7*x5^6*x7^3*x8^9,
450 x3^9*x4^7*x7*x8^9,
451 x3^9*x5^3*x6^10*x7^4*x8^8,
452 x3^9*x5^3*x7^3*x8^8,
453 x3^9*x5^3*x7^2,
454 x3^9*x5^2*x6^7*x8^8,
455 x3^9*x5^2*x7^7*x8^8,
456 x3^9*x5*x6^7,
457 x3^9*x5*x7^8,
458 x3^8*x4^10*x5^3*x6^10*x7^7,
459 x3^8*x4^10*x5^3*x6^7*x7^10,
460 x3^8*x4^10*x5^3*x6^6,
461 x3^8*x5^3*x6^10*x7^4,
462 x3^8*x5^3*x6^5,
463 x3^8*x5^3*x7^3,
464 x3^8*x5^2*x6^7,
465 x3^8*x5^2*x7^7,
466 x3^7*x4^10*x5^7*x6^8*x7^7,
467 x3^7*x4^10*x5^7*x6^7*x7^8,
468 x3^7*x4^10*x5^6*x6^10*x7^5*x8^9,
469 x3^7*x4^10*x5^6*x6^9*x7^7*x8^9,
470 x3^7*x4^10*x5^5*x6^10*x7^7*x8^9,
471 x3^7*x4^10*x5^5*x6^7*x7^10,
472 x3^7*x4^10*x5^5*x6^6,
473 x3^7*x4^8*x5^7*x6^7*x7^10*x8^9,
474 x3^7*x4^8*x5^7*x6^7*x7^9,
475 x3^7*x4^8*x5^7*x6^6*x8^9,
476 x3^7*x4^8*x5^6*x6^10*x7^7*x8^9,
477 x3^7*x4^8*x5^6*x7^7*x8^5,
478 x3^7*x5^7*x6^8*x7^7*x8^5,
479 x3^7*x5^7*x6^8*x7^4,
480 x3^7*x5^7*x6^7*x7^8*x8^5,
481 x3^7*x5^6*x6^10*x7^4*x8^9,
482 x3^7*x5^6*x6^9*x7^7*x8^5,
483 x3^7*x5^6*x7^5*x8^5,
484 x3^7*x5^6*x7^3*x8^9,
485 x3^7*x5^5*x6^7*x7^10*x8^5,
486 x3^7*x5^5*x6^6*x8^5,
487 x3^7*x5^5*x7^7*x8^5,
488 x3^7*x6^8*x7^2,
489 x3^7*x6^5,
490 x3^7*x7*x8^9,
491 x3^6*x4^5*x5^6*x6^10*x7^10*x8^9,
492 x3^6*x4^5*x5^5*x6^8*x7^10,
493 x3^6*x4^5*x5^3*x6^10*x7^10,
494 x3^6*x4^5*x5^2,
495 x3^6*x4^5*x6^8*x7^10*x8^9,
496 x3^6*x4^5*x6^8*x7^9,
497 x3^6*x4^3*x5^6*x6^10*x8^9,
498 x3^6*x4^3*x5^5*x6^8,
499 x3^6*x4^3*x5^3*x6^10,
500 x3^6*x4^3*x6^8*x8^9,
501 x3^6*x4^2*x6^10*x8^9,
502 x3^6*x5,
503 x3^5*x4^10*x5^7*x6^7*x7^10*x8^9,
504 x3^5*x4^10*x5^7*x6^7*x7^9,
505 x3^5*x4^10*x5^7*x6^6*x8^9,
506 x3^5*x5^7*x6^8*x7^10*x8^4,
507 x3^5*x5^7*x6^7*x7^10*x8^5,
508 x3^5*x5^7*x6^6*x8^5,
509 x3^5*x5^6*x7^10*x8^4,
510 x3^5*x6^6*x8,
511 x3^5*x7^10*x8,
512 x3^4*x4^10*x5^7*x6^7*x7^10,
513 x3^4*x4^10*x5^7*x6^6,
514 x3^4*x4^10*x5^6*x6^10*x7^5,
515 x3^4*x4^10*x5^6*x6^9*x7^7,
516 x3^4*x4^10*x5^5*x6^10*x7^7,
517 x3^4*x4^8*x5^6*x6^10*x7^7,
518 x3^4*x4^6*x6^7*x7^10,
519 x3^4*x4^6*x6^6,
520 x3^4*x4^5*x5^6*x6^10*x7^10,
521 x3^4*x4^5*x6^8*x7^10,
522 x3^4*x4^3*x5^6*x6^10,
523 x3^4*x4^3*x6^8,
524 x3^4*x4^2*x6^10,
525 x3^4*x4^2*x7^3,
526 x3^4*x5^6*x6^10*x7^4,
527 x3^4*x5^6*x7^3,
528 x3^4*x7,
529 x3^3*x4^6*x6^8,
530 x3^3*x4^2,
531 x3^3*x5^7*x6^8,
532 x3^3*x5^6,
533 x3^3*x8,
534 x3^2*x6^8,
535 x3*x4^7,
536 x3*x5^7,
537 x3*x6^9,
538 x3*x7^10,
539 x3*x8^9,
540 x4^10*x5^3*x6^10*x7^7*x8^8,
541 x4^10*x5^3*x6^7*x7^10*x8^8,
542 x4^10*x5^3*x6^6*x8^8,
543 x4^10*x5^3*x7^3*x8^8,
544 x4^10*x5^3*x7^2,
545 x4^10*x5^2*x6^7*x8^8,
546 x4^10*x5^2*x7^7*x8^8,
547 x4^10*x5*x6^7,
548 x4^10*x5*x7^8,
549 x4^9*x5^3*x6^10*x7^7,
550 x4^9*x5^3*x6^7*x7^10,
551 x4^9*x5^3*x6^6,
552 x4^9*x5^3*x7^3,
553 x4^9*x5^2*x6^7,
554 x4^9*x5^2*x7^7,
555 x4^8*x5^7*x6^8*x7^10*x8^4,
556 x4^8*x5^7*x6^6*x8^4,
557 x4^8*x5^6*x7^10*x8^4,
558 x4^8*x6^6*x8,
559 x4^8*x7^10*x8,
560 x4^7*x5^7*x6^8*x7^7,
561 x4^7*x5^7*x6^7*x7^10*x8^9,
562 x4^7*x5^7*x6^7*x7^9,
563 x4^7*x5^7*x6^6*x8^9,
564 x4^7*x5^6*x6^10*x7^7*x8^9,
565 x4^7*x5^6*x7^7*x8^5,
566 x4^7*x5^6*x7^3*x8^7,
567 x4^7*x5^5*x6^7*x7^10,
568 x4^7*x5^5*x6^6,
569 x4^7*x6^10*x7*x8^9,
570 x4^7*x6^8*x7^2,
571 x4^7*x6^5,
572 x4^7*x7*x8^7,
573 x4^6*x5^6*x7^3*x8^9,
574 x4^6*x6^8*x7^10*x8^4,
575 x4^6*x6^8*x7^7,
576 x4^6*x6^7*x7^10*x8^9,
577 x4^6*x6^7*x7^9,
578 x4^6*x6^6*x8^9,
579 x4^6*x7*x8^9,
580 x4^5*x5^6*x6^10*x7^8*x8^9,
581 x4^5*x5^6*x7^10*x8^5,
582 x4^5*x5^3*x6^10*x7^8,
583 x4^5*x5^2*x8^5,
584 x4^5*x6^8*x7^10*x8^5,
585 x4^5*x6^8*x7^8,
586 x4^3*x5^6*x8^5,
587 x4^3*x5^5*x6^7,
588 x4^3*x5^2*x7^8,
589 x4^3*x6^8*x8^5,
590 x4^3*x6^7*x8^9,
591 x4^3*x8,
592 x4^2*x6^10*x7^8*x8^9,
593 x4^2*x7^3*x8^9,
594 x4^2*x8^5,
595 x4*x5^5*x6^10,
596 x4*x5^2,
597 x4*x6^10*x7^9,
598 x4*x6^10*x8^9,
599 x4*x7^3,
600 x5^7*x6^8*x7^8*x8^4,
601 x5^6*x7^8*x8^4,
602 x5^5*x6^6*x8^4,
603 x5^5*x7^10*x8^4,
604 x5^3*x6^7*x7^10*x8^5,
605 x5^3*x6^6*x8^5,
606 x5^3*x6^5*x7^2,
607 x5^3*x6^5*x8^8,
608 x5^3*x7^7*x8^5,
609 x5^3*x7,
610 x5^2*x6^7*x8^5,
611 x5^2*x8^4,
612 x5*x6^5,
613 x5*x8^5,
614 x6^8*x7^2*x8^4,
615 x6^5*x8^4,
616 x6^2,
617 x7^8*x8,
618 x7*x8^4
619);
620