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test_T3_01.cpp
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1#include "../../../src/FTensor.hpp"
2#include "../test_for_zero.hpp"
3#include <iostream>
4using namespace FTensor;
5using namespace std;
6
7void test_T3_01(const Tensor1<double, 3> &t1_1, const Tensor1<double, 3> &t1_2,
8 const Tensor2<double, 3, 3> &t2_2,
9 const Tensor2<double, 3, 3> &t2_3,
10 const Tensor2_symmetric<double, 3> &t2s_2,
11 const Tensor2_symmetric<double, 3> &t2s_3,
12 const Dg<double, 3, 3> &t3dg_2)
13{
14 Index<'i', 3> i;
15 Index<'j', 3> j;
16 Index<'k', 3> k;
17 Index<'l', 3> l;
18
19 Number<0> N0;
20 Number<1> N1;
21 Number<2> N2;
22
23 /* Tensor3 tests */
24
25 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 0, 0)
26 - t2_2(0, 0) * t1_2(0) * 10,
27 "T3*T(0,0,0)");
28 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 0, 1)
29 - t2_2(0, 0) * t1_2(1) * 10,
30 "T3*T(0,0,1)");
31 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 0, 2)
32 - t2_2(0, 0) * t1_2(2) * 10,
33 "T3*T(0,0,2)");
34 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 1, 0)
35 - t2_2(0, 1) * t1_2(0) * 10,
36 "T3*T(0,1,0)");
37 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 1, 1)
38 - t2_2(0, 1) * t1_2(1) * 10,
39 "T3*T(0,1,1)");
40 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 1, 2)
41 - t2_2(0, 1) * t1_2(2) * 10,
42 "T3*T(0,1,2)");
43 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 2, 0)
44 - t2_2(0, 2) * t1_2(0) * 10,
45 "T3*T(0,2,0)");
46 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 2, 1)
47 - t2_2(0, 2) * t1_2(1) * 10,
48 "T3*T(0,2,1)");
49 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(0, 2, 2)
50 - t2_2(0, 2) * t1_2(2) * 10,
51 "T3*T(0,2,2)");
52 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 0, 0)
53 - t2_2(1, 0) * t1_2(0) * 10,
54 "T3*T(1,0,0)");
55 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 0, 1)
56 - t2_2(1, 0) * t1_2(1) * 10,
57 "T3*T(1,0,1)");
58 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 0, 2)
59 - t2_2(1, 0) * t1_2(2) * 10,
60 "T3*T(1,0,2)");
61 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 1, 0)
62 - t2_2(1, 1) * t1_2(0) * 10,
63 "T3*T(1,1,0)");
64 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 1, 1)
65 - t2_2(1, 1) * t1_2(1) * 10,
66 "T3*T(1,1,1)");
67 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 1, 2)
68 - t2_2(1, 1) * t1_2(2) * 10,
69 "T3*T(1,1,2)");
70 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 2, 0)
71 - t2_2(1, 2) * t1_2(0) * 10,
72 "T3*T(1,2,0)");
73 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 2, 1)
74 - t2_2(1, 2) * t1_2(1) * 10,
75 "T3*T(1,2,1)");
76 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(1, 2, 2)
77 - t2_2(1, 2) * t1_2(2) * 10,
78 "T3*T(1,2,2)");
79 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 0, 0)
80 - t2_2(2, 0) * t1_2(0) * 10,
81 "T3*T(2,0,0)");
82 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 0, 1)
83 - t2_2(2, 0) * t1_2(1) * 10,
84 "T3*T(2,0,1)");
85 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 0, 2)
86 - t2_2(2, 0) * t1_2(2) * 10,
87 "T3*T(2,0,2)");
88 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 1, 0)
89 - t2_2(2, 1) * t1_2(0) * 10,
90 "T3*T(2,1,0)");
91 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 1, 1)
92 - t2_2(2, 1) * t1_2(1) * 10,
93 "T3*T(2,1,1)");
94 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 1, 2)
95 - t2_2(2, 1) * t1_2(2) * 10,
96 "T3*T(2,1,2)");
97 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 2, 0)
98 - t2_2(2, 2) * t1_2(0) * 10,
99 "T3*T(2,2,0)");
100 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 2, 1)
101 - t2_2(2, 2) * t1_2(1) * 10,
102 "T3*T(2,2,1)");
103 test_for_zero(((t2_2(i, j) * t1_2(k)) * 10)(2, 2, 2)
104 - t2_2(2, 2) * t1_2(2) * 10,
105 "T3*T(2,2,2)");
106
107 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 0, 0)
108 - t2_2(0, 0) * t1_2(0) * 10,
109 "T*T3(0,0,0)");
110 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 0, 1)
111 - t2_2(0, 0) * t1_2(1) * 10,
112 "T*T3(0,0,1)");
113 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 0, 2)
114 - t2_2(0, 0) * t1_2(2) * 10,
115 "T*T3(0,0,2)");
116 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 1, 0)
117 - t2_2(0, 1) * t1_2(0) * 10,
118 "T*T3(0,1,0)");
119 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 1, 1)
120 - t2_2(0, 1) * t1_2(1) * 10,
121 "T*T3(0,1,1)");
122 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 1, 2)
123 - t2_2(0, 1) * t1_2(2) * 10,
124 "T*T3(0,1,2)");
125 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 2, 0)
126 - t2_2(0, 2) * t1_2(0) * 10,
127 "T*T3(0,2,0)");
128 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 2, 1)
129 - t2_2(0, 2) * t1_2(1) * 10,
130 "T*T3(0,2,1)");
131 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(0, 2, 2)
132 - t2_2(0, 2) * t1_2(2) * 10,
133 "T*T3(0,2,2)");
134 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 0, 0)
135 - t2_2(1, 0) * t1_2(0) * 10,
136 "T*T3(1,0,0)");
137 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 0, 1)
138 - t2_2(1, 0) * t1_2(1) * 10,
139 "T*T3(1,0,1)");
140 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 0, 2)
141 - t2_2(1, 0) * t1_2(2) * 10,
142 "T*T3(1,0,2)");
143 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 1, 0)
144 - t2_2(1, 1) * t1_2(0) * 10,
145 "T*T3(1,1,0)");
146 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 1, 1)
147 - t2_2(1, 1) * t1_2(1) * 10,
148 "T*T3(1,1,1)");
149 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 1, 2)
150 - t2_2(1, 1) * t1_2(2) * 10,
151 "T*T3(1,1,2)");
152 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 2, 0)
153 - t2_2(1, 2) * t1_2(0) * 10,
154 "T*T3(1,2,0)");
155 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 2, 1)
156 - t2_2(1, 2) * t1_2(1) * 10,
157 "T*T3(1,2,1)");
158 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(1, 2, 2)
159 - t2_2(1, 2) * t1_2(2) * 10,
160 "T*T3(1,2,2)");
161 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 0, 0)
162 - t2_2(2, 0) * t1_2(0) * 10,
163 "T*T3(2,0,0)");
164 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 0, 1)
165 - t2_2(2, 0) * t1_2(1) * 10,
166 "T*T3(2,0,1)");
167 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 0, 2)
168 - t2_2(2, 0) * t1_2(2) * 10,
169 "T*T3(2,0,2)");
170 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 1, 0)
171 - t2_2(2, 1) * t1_2(0) * 10,
172 "T*T3(2,1,0)");
173 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 1, 1)
174 - t2_2(2, 1) * t1_2(1) * 10,
175 "T*T3(2,1,1)");
176 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 1, 2)
177 - t2_2(2, 1) * t1_2(2) * 10,
178 "T*T3(2,1,2)");
179 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 2, 0)
180 - t2_2(2, 2) * t1_2(0) * 10,
181 "T*T3(2,2,0)");
182 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 2, 1)
183 - t2_2(2, 2) * t1_2(1) * 10,
184 "T*T3(2,2,1)");
185 test_for_zero((10 * (t2_2(i, j) * t1_2(k)))(2, 2, 2)
186 - t2_2(2, 2) * t1_2(2) * 10,
187 "T*T3(2,2,2)");
188
189 Tensor2<double, 3, 3> t2;
190
191 t2(i, k) = (t2_2(i, j) * t1_2(k)) * t1_1(j);
192
193 test_for_zero(t2(0, 0)
194 - (t2_2(0, 0) * t1_2(0) * t1_1(0)
195 + t2_2(0, 1) * t1_2(0) * t1_1(1)
196 + t2_2(0, 2) * t1_2(0) * t1_1(2)),
197 "T3(i,j,k)*T1(j)(0,0)");
198 test_for_zero(t2(0, 1)
199 - (t2_2(0, 0) * t1_2(1) * t1_1(0)
200 + t2_2(0, 1) * t1_2(1) * t1_1(1)
201 + t2_2(0, 2) * t1_2(1) * t1_1(2)),
202 "T3(i,j,k)*T1(j)(0,1)");
203 test_for_zero(t2(0, 2)
204 - (t2_2(0, 0) * t1_2(2) * t1_1(0)
205 + t2_2(0, 1) * t1_2(2) * t1_1(1)
206 + t2_2(0, 2) * t1_2(2) * t1_1(2)),
207 "T3(i,j,k)*T1(j)(0,2)");
208 test_for_zero(t2(1, 0)
209 - (t2_2(1, 0) * t1_2(0) * t1_1(0)
210 + t2_2(1, 1) * t1_2(0) * t1_1(1)
211 + t2_2(1, 2) * t1_2(0) * t1_1(2)),
212 "T3(i,j,k)*T1(j)(1,0)");
213 test_for_zero(t2(1, 1)
214 - (t2_2(1, 0) * t1_2(1) * t1_1(0)
215 + t2_2(1, 1) * t1_2(1) * t1_1(1)
216 + t2_2(1, 2) * t1_2(1) * t1_1(2)),
217 "T3(i,j,k)*T1(j)(1,1)");
218 test_for_zero(t2(1, 2)
219 - (t2_2(1, 0) * t1_2(2) * t1_1(0)
220 + t2_2(1, 1) * t1_2(2) * t1_1(1)
221 + t2_2(1, 2) * t1_2(2) * t1_1(2)),
222 "T3(i,j,k)*T1(j)(1,2)");
223 test_for_zero(t2(2, 0)
224 - (t2_2(2, 0) * t1_2(0) * t1_1(0)
225 + t2_2(2, 1) * t1_2(0) * t1_1(1)
226 + t2_2(2, 2) * t1_2(0) * t1_1(2)),
227 "T3(i,j,k)*T1(j)(2,0)");
228 test_for_zero(t2(2, 1)
229 - (t2_2(2, 0) * t1_2(1) * t1_1(0)
230 + t2_2(2, 1) * t1_2(1) * t1_1(1)
231 + t2_2(2, 2) * t1_2(1) * t1_1(2)),
232 "T3(i,j,k)*T1(j)(2,1)");
233 test_for_zero(t2(2, 2)
234 - (t2_2(2, 0) * t1_2(2) * t1_1(0)
235 + t2_2(2, 1) * t1_2(2) * t1_1(1)
236 + t2_2(2, 2) * t1_2(2) * t1_1(2)),
237 "T3(i,j,k)*T1(j)(2,2)");
238
239 t2(i, k) = t1_2(j) * (t2_2(i, j) * t1_1(k));
240
241 test_for_zero(t2(0, 0)
242 - (t2_2(0, 0) * t1_1(0) * t1_2(0)
243 + t2_2(0, 1) * t1_1(0) * t1_2(1)
244 + t2_2(0, 2) * t1_1(0) * t1_2(2)),
245 "T1(j)*T3(i,j,k)(0,0)");
246 test_for_zero(t2(0, 1)
247 - (t2_2(0, 0) * t1_1(1) * t1_2(0)
248 + t2_2(0, 1) * t1_1(1) * t1_2(1)
249 + t2_2(0, 2) * t1_1(1) * t1_2(2)),
250 "T1(j)*T3(i,j,k)(0,1)");
251 test_for_zero(t2(0, 2)
252 - (t2_2(0, 0) * t1_1(2) * t1_2(0)
253 + t2_2(0, 1) * t1_1(2) * t1_2(1)
254 + t2_2(0, 2) * t1_1(2) * t1_2(2)),
255 "T1(j)*T3(i,j,k)(0,2)");
256 test_for_zero(t2(1, 0)
257 - (t2_2(1, 0) * t1_1(0) * t1_2(0)
258 + t2_2(1, 1) * t1_1(0) * t1_2(1)
259 + t2_2(1, 2) * t1_1(0) * t1_2(2)),
260 "T1(j)*T3(i,j,k)(1,0)");
261 test_for_zero(t2(1, 1)
262 - (t2_2(1, 0) * t1_1(1) * t1_2(0)
263 + t2_2(1, 1) * t1_1(1) * t1_2(1)
264 + t2_2(1, 2) * t1_1(1) * t1_2(2)),
265 "T1(j)*T3(i,j,k)(1,1)");
266 test_for_zero(t2(1, 2)
267 - (t2_2(1, 0) * t1_1(2) * t1_2(0)
268 + t2_2(1, 1) * t1_1(2) * t1_2(1)
269 + t2_2(1, 2) * t1_1(2) * t1_2(2)),
270 "T1(j)*T3(i,j,k)(1,2)");
271 test_for_zero(t2(2, 0)
272 - (t2_2(2, 0) * t1_1(0) * t1_2(0)
273 + t2_2(2, 1) * t1_1(0) * t1_2(1)
274 + t2_2(2, 2) * t1_1(0) * t1_2(2)),
275 "T1(j)*T3(i,j,k)(2,0)");
276 test_for_zero(t2(2, 1)
277 - (t2_2(2, 0) * t1_1(1) * t1_2(0)
278 + t2_2(2, 1) * t1_1(1) * t1_2(1)
279 + t2_2(2, 2) * t1_1(1) * t1_2(2)),
280 "T1(j)*T3(i,j,k)(2,1)");
281 test_for_zero(t2(2, 2)
282 - (t2_2(2, 0) * t1_1(2) * t1_2(0)
283 + t2_2(2, 1) * t1_1(2) * t1_2(1)
284 + t2_2(2, 2) * t1_1(2) * t1_2(2)),
285 "T1(j)*T3(i,j,k)(2,2)");
286
287 // T3*T2s double contraction
288 Tensor1<double, 3> t1;
289 for(int ii = 0; ii < 3; ++ii)
290 {
291 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2s_2(j, k))(ii)
292 - (t2_2(ii, 0) * t1_2(0) * t2s_2(0, 0)
293 + t2_2(ii, 0) * t1_2(1) * t2s_2(0, 1)
294 + t2_2(ii, 0) * t1_2(2) * t2s_2(0, 2)
295 + t2_2(ii, 1) * t1_2(0) * t2s_2(1, 0)
296 + t2_2(ii, 1) * t1_2(1) * t2s_2(1, 1)
297 + t2_2(ii, 1) * t1_2(2) * t2s_2(1, 2)
298 + t2_2(ii, 2) * t1_2(0) * t2s_2(2, 0)
299 + t2_2(ii, 2) * t1_2(1) * t2s_2(2, 1)
300 + t2_2(ii, 2) * t1_2(2) * t2s_2(2, 2)),
301 "T3(i,j,k)*T2s(j,k)(" + std::to_string(ii) + ")");
302
303 test_for_zero((t2s_3(j, k) * (t2_2(i, j) * t1_2(k)))(ii)
304 - (t2_2(ii, 0) * t1_2(0) * t2s_3(0, 0)
305 + t2_2(ii, 0) * t1_2(1) * t2s_3(0, 1)
306 + t2_2(ii, 0) * t1_2(2) * t2s_3(0, 2)
307 + t2_2(ii, 1) * t1_2(0) * t2s_3(1, 0)
308 + t2_2(ii, 1) * t1_2(1) * t2s_3(1, 1)
309 + t2_2(ii, 1) * t1_2(2) * t2s_3(1, 2)
310 + t2_2(ii, 2) * t1_2(0) * t2s_3(2, 0)
311 + t2_2(ii, 2) * t1_2(1) * t2s_3(2, 1)
312 + t2_2(ii, 2) * t1_2(2) * t2s_3(2, 2)),
313 "T2s(j,k)*T3(i,j,k)(" + std::to_string(ii) + ")");
314
315 test_for_zero(((t2_2(j, i) * t1_2(k)) * t2s_2(j, k))(ii)
316 - (t2_2(0, ii) * t1_2(0) * t2s_2(0, 0)
317 + t2_2(0, ii) * t1_2(1) * t2s_2(0, 1)
318 + t2_2(0, ii) * t1_2(2) * t2s_2(0, 2)
319 + t2_2(1, ii) * t1_2(0) * t2s_2(1, 0)
320 + t2_2(1, ii) * t1_2(1) * t2s_2(1, 1)
321 + t2_2(1, ii) * t1_2(2) * t2s_2(1, 2)
322 + t2_2(2, ii) * t1_2(0) * t2s_2(2, 0)
323 + t2_2(2, ii) * t1_2(1) * t2s_2(2, 1)
324 + t2_2(2, ii) * t1_2(2) * t2s_2(2, 2)),
325 "T3(j,i,k)*T2s(j,k)(" + std::to_string(ii) + ")");
326
327 test_for_zero((t2s_3(j, k) * (t2_2(j, i) * t1_2(k)))(ii)
328 - (t2_2(0, ii) * t1_2(0) * t2s_3(0, 0)
329 + t2_2(0, ii) * t1_2(1) * t2s_3(0, 1)
330 + t2_2(0, ii) * t1_2(2) * t2s_3(0, 2)
331 + t2_2(1, ii) * t1_2(0) * t2s_3(1, 0)
332 + t2_2(1, ii) * t1_2(1) * t2s_3(1, 1)
333 + t2_2(1, ii) * t1_2(2) * t2s_3(1, 2)
334 + t2_2(2, ii) * t1_2(0) * t2s_3(2, 0)
335 + t2_2(2, ii) * t1_2(1) * t2s_3(2, 1)
336 + t2_2(2, ii) * t1_2(2) * t2s_3(2, 2)),
337 "T2s(j,k)*T3(j,i,k)(" + std::to_string(ii) + ")");
338
339 test_for_zero(((t2_2(j, k) * t1_2(i)) * t2s_2(j, k))(ii)
340 - (t2_2(0, 0) * t1_2(ii) * t2s_2(0, 0)
341 + t2_2(0, 1) * t1_2(ii) * t2s_2(0, 1)
342 + t2_2(0, 2) * t1_2(ii) * t2s_2(0, 2)
343 + t2_2(1, 0) * t1_2(ii) * t2s_2(1, 0)
344 + t2_2(1, 1) * t1_2(ii) * t2s_2(1, 1)
345 + t2_2(1, 2) * t1_2(ii) * t2s_2(1, 2)
346 + t2_2(2, 0) * t1_2(ii) * t2s_2(2, 0)
347 + t2_2(2, 1) * t1_2(ii) * t2s_2(2, 1)
348 + t2_2(2, 2) * t1_2(ii) * t2s_2(2, 2)),
349 "T3(j,k,i)*T2s(j,k)(" + std::to_string(ii) + ")");
350
351 test_for_zero((t2s_3(j, k) * (t2_2(j, k) * t1_2(i)))(ii)
352 - (t2_2(0, 0) * t1_2(ii) * t2s_3(0, 0)
353 + t2_2(0, 1) * t1_2(ii) * t2s_3(0, 1)
354 + t2_2(0, 2) * t1_2(ii) * t2s_3(0, 2)
355 + t2_2(1, 0) * t1_2(ii) * t2s_3(1, 0)
356 + t2_2(1, 1) * t1_2(ii) * t2s_3(1, 1)
357 + t2_2(1, 2) * t1_2(ii) * t2s_3(1, 2)
358 + t2_2(2, 0) * t1_2(ii) * t2s_3(2, 0)
359 + t2_2(2, 1) * t1_2(ii) * t2s_3(2, 1)
360 + t2_2(2, 2) * t1_2(ii) * t2s_3(2, 2)),
361 "T2s(j,k)*T3(j,k,i)(" + std::to_string(ii) + ")");
362 }
363
364 // T3*T2 double contraction
365 for(int ii = 0; ii < 3; ++ii)
366 {
367 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_2(j, k))(ii)
368 - (t2_2(ii, 0) * t1_2(0) * t2_2(0, 0)
369 + t2_2(ii, 0) * t1_2(1) * t2_2(0, 1)
370 + t2_2(ii, 0) * t1_2(2) * t2_2(0, 2)
371 + t2_2(ii, 1) * t1_2(0) * t2_2(1, 0)
372 + t2_2(ii, 1) * t1_2(1) * t2_2(1, 1)
373 + t2_2(ii, 1) * t1_2(2) * t2_2(1, 2)
374 + t2_2(ii, 2) * t1_2(0) * t2_2(2, 0)
375 + t2_2(ii, 2) * t1_2(1) * t2_2(2, 1)
376 + t2_2(ii, 2) * t1_2(2) * t2_2(2, 2)),
377 "T3(i,j,k)*T2(j,k)(" + std::to_string(ii) + ")");
378
379 test_for_zero((t2_2(j, k) * (t2_2(i, j) * t1_2(k)))(ii)
380 - (t2_2(ii, 0) * t1_2(0) * t2_2(0, 0)
381 + t2_2(ii, 0) * t1_2(1) * t2_2(0, 1)
382 + t2_2(ii, 0) * t1_2(2) * t2_2(0, 2)
383 + t2_2(ii, 1) * t1_2(0) * t2_2(1, 0)
384 + t2_2(ii, 1) * t1_2(1) * t2_2(1, 1)
385 + t2_2(ii, 1) * t1_2(2) * t2_2(1, 2)
386 + t2_2(ii, 2) * t1_2(0) * t2_2(2, 0)
387 + t2_2(ii, 2) * t1_2(1) * t2_2(2, 1)
388 + t2_2(ii, 2) * t1_2(2) * t2_2(2, 2)),
389 "T2(j,k)*T3(i,j,k)(" + std::to_string(ii) + ")");
390
391 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_2(k, j))(ii)
392 - (t2_2(ii, 0) * t1_2(0) * t2_2(0, 0)
393 + t2_2(ii, 0) * t1_2(1) * t2_2(1, 0)
394 + t2_2(ii, 0) * t1_2(2) * t2_2(2, 0)
395 + t2_2(ii, 1) * t1_2(0) * t2_2(0, 1)
396 + t2_2(ii, 1) * t1_2(1) * t2_2(1, 1)
397 + t2_2(ii, 1) * t1_2(2) * t2_2(2, 1)
398 + t2_2(ii, 2) * t1_2(0) * t2_2(0, 2)
399 + t2_2(ii, 2) * t1_2(1) * t2_2(1, 2)
400 + t2_2(ii, 2) * t1_2(2) * t2_2(2, 2)),
401 "T3(i,j,k)*T2(k,j)(" + std::to_string(ii) + ")");
402
403 test_for_zero((t2_2(k, j) * (t2_2(i, j) * t1_2(k)))(ii)
404 - (t2_2(ii, 0) * t1_2(0) * t2_2(0, 0)
405 + t2_2(ii, 0) * t1_2(1) * t2_2(1, 0)
406 + t2_2(ii, 0) * t1_2(2) * t2_2(2, 0)
407 + t2_2(ii, 1) * t1_2(0) * t2_2(0, 1)
408 + t2_2(ii, 1) * t1_2(1) * t2_2(1, 1)
409 + t2_2(ii, 1) * t1_2(2) * t2_2(2, 1)
410 + t2_2(ii, 2) * t1_2(0) * t2_2(0, 2)
411 + t2_2(ii, 2) * t1_2(1) * t2_2(1, 2)
412 + t2_2(ii, 2) * t1_2(2) * t2_2(2, 2)),
413 "T2(k,j)*T3(i,j,k)(" + std::to_string(ii) + ")");
414
415 test_for_zero(((t2_2(j, i) * t1_2(k)) * t2_2(j, k))(ii)
416 - (t2_2(0, ii) * t1_2(0) * t2_2(0, 0)
417 + t2_2(0, ii) * t1_2(1) * t2_2(0, 1)
418 + t2_2(0, ii) * t1_2(2) * t2_2(0, 2)
419 + t2_2(1, ii) * t1_2(0) * t2_2(1, 0)
420 + t2_2(1, ii) * t1_2(1) * t2_2(1, 1)
421 + t2_2(1, ii) * t1_2(2) * t2_2(1, 2)
422 + t2_2(2, ii) * t1_2(0) * t2_2(2, 0)
423 + t2_2(2, ii) * t1_2(1) * t2_2(2, 1)
424 + t2_2(2, ii) * t1_2(2) * t2_2(2, 2)),
425 "T3(j,i,k)*T2(j,k)(" + std::to_string(ii) + ")");
426
427 test_for_zero((t2_2(j, k) * (t2_2(j, i) * t1_2(k)))(ii)
428 - (t2_2(0, ii) * t1_2(0) * t2_2(0, 0)
429 + t2_2(0, ii) * t1_2(1) * t2_2(0, 1)
430 + t2_2(0, ii) * t1_2(2) * t2_2(0, 2)
431 + t2_2(1, ii) * t1_2(0) * t2_2(1, 0)
432 + t2_2(1, ii) * t1_2(1) * t2_2(1, 1)
433 + t2_2(1, ii) * t1_2(2) * t2_2(1, 2)
434 + t2_2(2, ii) * t1_2(0) * t2_2(2, 0)
435 + t2_2(2, ii) * t1_2(1) * t2_2(2, 1)
436 + t2_2(2, ii) * t1_2(2) * t2_2(2, 2)),
437 "T2(j,k)*T3(j,i,k)(" + std::to_string(ii) + ")");
438
439 test_for_zero(((t2_2(j, i) * t1_2(k)) * t2_2(k, j))(ii)
440 - (t2_2(0, ii) * t1_2(0) * t2_2(0, 0)
441 + t2_2(0, ii) * t1_2(1) * t2_2(1, 0)
442 + t2_2(0, ii) * t1_2(2) * t2_2(2, 0)
443 + t2_2(1, ii) * t1_2(0) * t2_2(0, 1)
444 + t2_2(1, ii) * t1_2(1) * t2_2(1, 1)
445 + t2_2(1, ii) * t1_2(2) * t2_2(2, 1)
446 + t2_2(2, ii) * t1_2(0) * t2_2(0, 2)
447 + t2_2(2, ii) * t1_2(1) * t2_2(1, 2)
448 + t2_2(2, ii) * t1_2(2) * t2_2(2, 2)),
449 "T3(j,i,k)*T2(k,j)(" + std::to_string(ii) + ")");
450
451 test_for_zero((t2_2(k, j) * (t2_2(j, i) * t1_2(k)))(ii)
452 - (t2_2(0, ii) * t1_2(0) * t2_2(0, 0)
453 + t2_2(0, ii) * t1_2(1) * t2_2(1, 0)
454 + t2_2(0, ii) * t1_2(2) * t2_2(2, 0)
455 + t2_2(1, ii) * t1_2(0) * t2_2(0, 1)
456 + t2_2(1, ii) * t1_2(1) * t2_2(1, 1)
457 + t2_2(1, ii) * t1_2(2) * t2_2(2, 1)
458 + t2_2(2, ii) * t1_2(0) * t2_2(0, 2)
459 + t2_2(2, ii) * t1_2(1) * t2_2(1, 2)
460 + t2_2(2, ii) * t1_2(2) * t2_2(2, 2)),
461 "T2(k,j)*T3(j,i,k)(" + std::to_string(ii) + ")");
462
463 test_for_zero(((t2_2(j, k) * t1_2(i)) * t2_2(j, k))(ii)
464 - (t2_2(0, 0) * t1_2(ii) * t2_2(0, 0)
465 + t2_2(0, 1) * t1_2(ii) * t2_2(0, 1)
466 + t2_2(0, 2) * t1_2(ii) * t2_2(0, 2)
467 + t2_2(1, 0) * t1_2(ii) * t2_2(1, 0)
468 + t2_2(1, 1) * t1_2(ii) * t2_2(1, 1)
469 + t2_2(1, 2) * t1_2(ii) * t2_2(1, 2)
470 + t2_2(2, 0) * t1_2(ii) * t2_2(2, 0)
471 + t2_2(2, 1) * t1_2(ii) * t2_2(2, 1)
472 + t2_2(2, 2) * t1_2(ii) * t2_2(2, 2)),
473 "T3(j,k,i)*T2(j,k)(" + std::to_string(ii) + ")");
474
475 test_for_zero((t2_2(j, k) * (t2_2(j, k) * t1_2(i)))(ii)
476 - (t2_2(0, 0) * t1_2(ii) * t2_2(0, 0)
477 + t2_2(0, 1) * t1_2(ii) * t2_2(0, 1)
478 + t2_2(0, 2) * t1_2(ii) * t2_2(0, 2)
479 + t2_2(1, 0) * t1_2(ii) * t2_2(1, 0)
480 + t2_2(1, 1) * t1_2(ii) * t2_2(1, 1)
481 + t2_2(1, 2) * t1_2(ii) * t2_2(1, 2)
482 + t2_2(2, 0) * t1_2(ii) * t2_2(2, 0)
483 + t2_2(2, 1) * t1_2(ii) * t2_2(2, 1)
484 + t2_2(2, 2) * t1_2(ii) * t2_2(2, 2)),
485 "T2(j,k)*T3(j,k,i)(" + std::to_string(ii) + ")");
486
487 test_for_zero(((t2_2(j, k) * t1_2(i)) * t2_2(k, j))(ii)
488 - (t2_2(0, 0) * t1_2(ii) * t2_2(0, 0)
489 + t2_2(0, 1) * t1_2(ii) * t2_2(1, 0)
490 + t2_2(0, 2) * t1_2(ii) * t2_2(2, 0)
491 + t2_2(1, 0) * t1_2(ii) * t2_2(0, 1)
492 + t2_2(1, 1) * t1_2(ii) * t2_2(1, 1)
493 + t2_2(1, 2) * t1_2(ii) * t2_2(2, 1)
494 + t2_2(2, 0) * t1_2(ii) * t2_2(0, 2)
495 + t2_2(2, 1) * t1_2(ii) * t2_2(1, 2)
496 + t2_2(2, 2) * t1_2(ii) * t2_2(2, 2)),
497 "T3(j,k,i)*T2(k,j)(" + std::to_string(ii) + ")");
498
499 test_for_zero((t2_2(k, j) * (t2_2(j, k) * t1_2(i)))(ii)
500 - (t2_2(0, 0) * t1_2(ii) * t2_2(0, 0)
501 + t2_2(0, 1) * t1_2(ii) * t2_2(1, 0)
502 + t2_2(0, 2) * t1_2(ii) * t2_2(2, 0)
503 + t2_2(1, 0) * t1_2(ii) * t2_2(0, 1)
504 + t2_2(1, 1) * t1_2(ii) * t2_2(1, 1)
505 + t2_2(1, 2) * t1_2(ii) * t2_2(2, 1)
506 + t2_2(2, 0) * t1_2(ii) * t2_2(0, 2)
507 + t2_2(2, 1) * t1_2(ii) * t2_2(1, 2)
508 + t2_2(2, 2) * t1_2(ii) * t2_2(2, 2)),
509 "T2(k,j)*T3(j,k,i)(" + std::to_string(ii) + ")");
510 }
511
512 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 0, 0)
513 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 0, 0),
514 "T3(i,j,k)*T2(k,l)(0,0,0)");
515 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 0, 1)
516 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 0, 1),
517 "T3(i,j,k)*T2(k,l)(0,0,1)");
518 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 0, 2)
519 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 0, 2),
520 "T3(i,j,k)*T2(k,l)(0,0,2)");
521 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 1, 0)
522 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 1, 0),
523 "T3(i,j,k)*T2(k,l)(0,1,0)");
524 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 1, 1)
525 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 1, 1),
526 "T3(i,j,k)*T2(k,l)(0,1,1)");
527 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 1, 2)
528 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 1, 2),
529 "T3(i,j,k)*T2(k,l)(0,1,2)");
530 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 2, 0)
531 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 2, 0),
532 "T3(i,j,k)*T2(k,l)(0,2,0)");
533 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 2, 1)
534 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 2, 1),
535 "T3(i,j,k)*T2(k,l)(0,2,1)");
536 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(0, 2, 2)
537 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 2, 2),
538 "T3(i,j,k)*T2(k,l)(0,2,2)");
539 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 0, 0)
540 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 0, 0),
541 "T3(i,j,k)*T2(k,l)(1,0,0)");
542 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 0, 1)
543 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 0, 1),
544 "T3(i,j,k)*T2(k,l)(1,0,1)");
545 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 0, 2)
546 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 0, 2),
547 "T3(i,j,k)*T2(k,l)(1,0,2)");
548 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 1, 0)
549 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 1, 0),
550 "T3(i,j,k)*T2(k,l)(1,1,0)");
551 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 1, 1)
552 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 1, 1),
553 "T3(i,j,k)*T2(k,l)(1,1,1)");
554 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 1, 2)
555 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 1, 2),
556 "T3(i,j,k)*T2(k,l)(1,1,2)");
557 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 2, 0)
558 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 2, 0),
559 "T3(i,j,k)*T2(k,l)(1,2,0)");
560 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 2, 1)
561 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 2, 1),
562 "T3(i,j,k)*T2(k,l)(1,2,1)");
563 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(1, 2, 2)
564 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 2, 2),
565 "T3(i,j,k)*T2(k,l)(1,2,2)");
566 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 0, 0)
567 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 0, 0),
568 "T3(i,j,k)*T2(k,l)(2,0,0)");
569 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 0, 1)
570 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 0, 1),
571 "T3(i,j,k)*T2(k,l)(2,0,1)");
572 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 0, 2)
573 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 0, 2),
574 "T3(i,j,k)*T2(k,l)(2,0,2)");
575 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 1, 0)
576 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 1, 0),
577 "T3(i,j,k)*T2(k,l)(2,1,0)");
578 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 1, 1)
579 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 1, 1),
580 "T3(i,j,k)*T2(k,l)(2,1,1)");
581 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 1, 2)
582 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 1, 2),
583 "T3(i,j,k)*T2(k,l)(2,1,2)");
584 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 2, 0)
585 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 2, 0),
586 "T3(i,j,k)*T2(k,l)(2,2,0)");
587 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 2, 1)
588 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 2, 1),
589 "T3(i,j,k)*T2(k,l)(2,2,1)");
590 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(k, l))(2, 2, 2)
591 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 2, 2),
592 "T3(i,j,k)*T2(k,l)(2,2,2)");
593
594 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 0, 0)
595 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 0, 0),
596 "T3(i,j,k)*T2(l,k)(0,0,0)");
597 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 0, 1)
598 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 0, 1),
599 "T3(i,j,k)*T2(l,k)(0,0,1)");
600 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 0, 2)
601 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 0, 2),
602 "T3(i,j,k)*T2(l,k)(0,0,2)");
603 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 1, 0)
604 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 1, 0),
605 "T3(i,j,k)*T2(l,k)(0,1,0)");
606 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 1, 1)
607 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 1, 1),
608 "T3(i,j,k)*T2(l,k)(0,1,1)");
609 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 1, 2)
610 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 1, 2),
611 "T3(i,j,k)*T2(l,k)(0,1,2)");
612 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 2, 0)
613 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 2, 0),
614 "T3(i,j,k)*T2(l,k)(0,2,0)");
615 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 2, 1)
616 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 2, 1),
617 "T3(i,j,k)*T2(l,k)(0,2,1)");
618 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(0, 2, 2)
619 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 2, 2),
620 "T3(i,j,k)*T2(l,k)(0,2,2)");
621 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 0, 0)
622 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 0, 0),
623 "T3(i,j,k)*T2(l,k)(1,0,0)");
624 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 0, 1)
625 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 0, 1),
626 "T3(i,j,k)*T2(l,k)(1,0,1)");
627 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 0, 2)
628 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 0, 2),
629 "T3(i,j,k)*T2(l,k)(1,0,2)");
630 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 1, 0)
631 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 1, 0),
632 "T3(i,j,k)*T2(l,k)(1,1,0)");
633 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 1, 1)
634 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 1, 1),
635 "T3(i,j,k)*T2(l,k)(1,1,1)");
636 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 1, 2)
637 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 1, 2),
638 "T3(i,j,k)*T2(l,k)(1,1,2)");
639 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 2, 0)
640 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 2, 0),
641 "T3(i,j,k)*T2(l,k)(1,2,0)");
642 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 2, 1)
643 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 2, 1),
644 "T3(i,j,k)*T2(l,k)(1,2,1)");
645 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(1, 2, 2)
646 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 2, 2),
647 "T3(i,j,k)*T2(l,k)(1,2,2)");
648 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 0, 0)
649 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 0, 0),
650 "T3(i,j,k)*T2(l,k)(2,0,0)");
651 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 0, 1)
652 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 0, 1),
653 "T3(i,j,k)*T2(l,k)(2,0,1)");
654 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 0, 2)
655 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 0, 2),
656 "T3(i,j,k)*T2(l,k)(2,0,2)");
657 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 1, 0)
658 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 1, 0),
659 "T3(i,j,k)*T2(l,k)(2,1,0)");
660 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 1, 1)
661 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 1, 1),
662 "T3(i,j,k)*T2(l,k)(2,1,1)");
663 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 1, 2)
664 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 1, 2),
665 "T3(i,j,k)*T2(l,k)(2,1,2)");
666 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 2, 0)
667 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 2, 0),
668 "T3(i,j,k)*T2(l,k)(2,2,0)");
669 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 2, 1)
670 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 2, 1),
671 "T3(i,j,k)*T2(l,k)(2,2,1)");
672 test_for_zero(((t2_2(i, j) * t1_2(k)) * t2_3(l, k))(2, 2, 2)
673 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 2, 2),
674 "T3(i,j,k)*T2(l,k)(2,2,2)");
675
676 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 0, 0)
677 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 0, 0),
678 "T2(k,l)*T3(i,j,k)(0,0,0)");
679 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 0, 1)
680 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 0, 1),
681 "T2(k,l)*T3(i,j,k)(0,0,1)");
682 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 0, 2)
683 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 0, 2),
684 "T2(k,l)*T3(i,j,k)(0,0,2)");
685 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 1, 0)
686 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 1, 0),
687 "T2(k,l)*T3(i,j,k)(0,1,0)");
688 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 1, 1)
689 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 1, 1),
690 "T2(k,l)*T3(i,j,k)(0,1,1)");
691 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 1, 2)
692 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 1, 2),
693 "T2(k,l)*T3(i,j,k)(0,1,2)");
694 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 2, 0)
695 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 2, 0),
696 "T2(k,l)*T3(i,j,k)(0,2,0)");
697 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 2, 1)
698 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 2, 1),
699 "T2(k,l)*T3(i,j,k)(0,2,1)");
700 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(0, 2, 2)
701 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(0, 2, 2),
702 "T2(k,l)*T3(i,j,k)(0,2,2)");
703 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 0, 0)
704 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 0, 0),
705 "T2(k,l)*T3(i,j,k)(1,0,0)");
706 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 0, 1)
707 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 0, 1),
708 "T2(k,l)*T3(i,j,k)(1,0,1)");
709 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 0, 2)
710 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 0, 2),
711 "T2(k,l)*T3(i,j,k)(1,0,2)");
712 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 1, 0)
713 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 1, 0),
714 "T2(k,l)*T3(i,j,k)(1,1,0)");
715 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 1, 1)
716 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 1, 1),
717 "T2(k,l)*T3(i,j,k)(1,1,1)");
718 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 1, 2)
719 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 1, 2),
720 "T2(k,l)*T3(i,j,k)(1,1,2)");
721 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 2, 0)
722 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 2, 0),
723 "T2(k,l)*T3(i,j,k)(1,2,0)");
724 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 2, 1)
725 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 2, 1),
726 "T2(k,l)*T3(i,j,k)(1,2,1)");
727 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(1, 2, 2)
728 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(1, 2, 2),
729 "T2(k,l)*T3(i,j,k)(1,2,2)");
730 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 0, 0)
731 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 0, 0),
732 "T2(k,l)*T3(i,j,k)(2,0,0)");
733 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 0, 1)
734 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 0, 1),
735 "T2(k,l)*T3(i,j,k)(2,0,1)");
736 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 0, 2)
737 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 0, 2),
738 "T2(k,l)*T3(i,j,k)(2,0,2)");
739 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 1, 0)
740 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 1, 0),
741 "T2(k,l)*T3(i,j,k)(2,1,0)");
742 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 1, 1)
743 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 1, 1),
744 "T2(k,l)*T3(i,j,k)(2,1,1)");
745 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 1, 2)
746 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 1, 2),
747 "T2(k,l)*T3(i,j,k)(2,1,2)");
748 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 2, 0)
749 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 2, 0),
750 "T2(k,l)*T3(i,j,k)(2,2,0)");
751 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 2, 1)
752 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 2, 1),
753 "T2(k,l)*T3(i,j,k)(2,2,1)");
754 test_for_zero((t2_3(k, l) * (t2_2(i, j) * t1_2(k)))(2, 2, 2)
755 - (t2_2(i, j) * (t1_2(k) * t2_3(k, l)))(2, 2, 2),
756 "T2(k,l)*T3(i,j,k)(2,2,2)");
757
758 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 0, 0)
759 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 0, 0),
760 "T2(l,k)*T3(i,j,k)(0,0,0)");
761 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 0, 1)
762 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 0, 1),
763 "T2(l,k)*T3(i,j,k)(0,0,1)");
764 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 0, 2)
765 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 0, 2),
766 "T2(l,k)*T3(i,j,k)(0,0,2)");
767 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 1, 0)
768 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 1, 0),
769 "T2(l,k)*T3(i,j,k)(0,1,0)");
770 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 1, 1)
771 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 1, 1),
772 "T2(l,k)*T3(i,j,k)(0,1,1)");
773 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 1, 2)
774 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 1, 2),
775 "T2(l,k)*T3(i,j,k)(0,1,2)");
776 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 2, 0)
777 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 2, 0),
778 "T2(l,k)*T3(i,j,k)(0,2,0)");
779 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 2, 1)
780 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 2, 1),
781 "T2(l,k)*T3(i,j,k)(0,2,1)");
782 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(0, 2, 2)
783 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(0, 2, 2),
784 "T2(l,k)*T3(i,j,k)(0,2,2)");
785 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 0, 0)
786 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 0, 0),
787 "T2(l,k)*T3(i,j,k)(1,0,0)");
788 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 0, 1)
789 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 0, 1),
790 "T2(l,k)*T3(i,j,k)(1,0,1)");
791 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 0, 2)
792 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 0, 2),
793 "T2(l,k)*T3(i,j,k)(1,0,2)");
794 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 1, 0)
795 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 1, 0),
796 "T2(l,k)*T3(i,j,k)(1,1,0)");
797 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 1, 1)
798 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 1, 1),
799 "T2(l,k)*T3(i,j,k)(1,1,1)");
800 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 1, 2)
801 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 1, 2),
802 "T2(l,k)*T3(i,j,k)(1,1,2)");
803 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 2, 0)
804 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 2, 0),
805 "T2(l,k)*T3(i,j,k)(1,2,0)");
806 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 2, 1)
807 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 2, 1),
808 "T2(l,k)*T3(i,j,k)(1,2,1)");
809 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(1, 2, 2)
810 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(1, 2, 2),
811 "T2(l,k)*T3(i,j,k)(1,2,2)");
812 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 0, 0)
813 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 0, 0),
814 "T2(l,k)*T3(i,j,k)(2,0,0)");
815 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 0, 1)
816 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 0, 1),
817 "T2(l,k)*T3(i,j,k)(2,0,1)");
818 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 0, 2)
819 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 0, 2),
820 "T2(l,k)*T3(i,j,k)(2,0,2)");
821 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 1, 0)
822 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 1, 0),
823 "T2(l,k)*T3(i,j,k)(2,1,0)");
824 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 1, 1)
825 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 1, 1),
826 "T2(l,k)*T3(i,j,k)(2,1,1)");
827 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 1, 2)
828 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 1, 2),
829 "T2(l,k)*T3(i,j,k)(2,1,2)");
830 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 2, 0)
831 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 2, 0),
832 "T2(l,k)*T3(i,j,k)(2,2,0)");
833 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 2, 1)
834 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 2, 1),
835 "T2(l,k)*T3(i,j,k)(2,2,1)");
836 test_for_zero((t2_3(l, k) * (t2_2(i, j) * t1_2(k)))(2, 2, 2)
837 - (t2_2(i, j) * (t1_2(k) * t2_3(l, k)))(2, 2, 2),
838 "T2(l,k)*T3(i,j,k)(2,2,2)");
839
840 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 0, 0)
841 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 0, 0),
842 "T3(i,j,l)*T2(j,k)(0,0,0)");
843 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 0, 1)
844 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 0, 1),
845 "T3(i,j,l)*T2(j,k)(0,0,1)");
846 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 0, 2)
847 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 0, 2),
848 "T3(i,j,l)*T2(j,k)(0,0,2)");
849 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 1, 0)
850 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 1, 0),
851 "T3(i,j,l)*T2(j,k)(0,1,0)");
852 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 1, 1)
853 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 1, 1),
854 "T3(i,j,l)*T2(j,k)(0,1,1)");
855 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 1, 2)
856 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 1, 2),
857 "T3(i,j,l)*T2(j,k)(0,1,2)");
858 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 2, 0)
859 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 2, 0),
860 "T3(i,j,l)*T2(j,k)(0,2,0)");
861 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 2, 1)
862 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 2, 1),
863 "T3(i,j,l)*T2(j,k)(0,2,1)");
864 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(0, 2, 2)
865 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 2, 2),
866 "T3(i,j,l)*T2(j,k)(0,2,2)");
867 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 0, 0)
868 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 0, 0),
869 "T3(i,j,l)*T2(j,k)(1,0,0)");
870 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 0, 1)
871 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 0, 1),
872 "T3(i,j,l)*T2(j,k)(1,0,1)");
873 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 0, 2)
874 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 0, 2),
875 "T3(i,j,l)*T2(j,k)(1,0,2)");
876 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 1, 0)
877 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 1, 0),
878 "T3(i,j,l)*T2(j,k)(1,1,0)");
879 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 1, 1)
880 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 1, 1),
881 "T3(i,j,l)*T2(j,k)(1,1,1)");
882 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 1, 2)
883 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 1, 2),
884 "T3(i,j,l)*T2(j,k)(1,1,2)");
885 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 2, 0)
886 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 2, 0),
887 "T3(i,j,l)*T2(j,k)(1,2,0)");
888 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 2, 1)
889 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 2, 1),
890 "T3(i,j,l)*T2(j,k)(1,2,1)");
891 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(1, 2, 2)
892 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 2, 2),
893 "T3(i,j,l)*T2(j,k)(1,2,2)");
894 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 0, 0)
895 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 0, 0),
896 "T3(i,j,l)*T2(j,k)(2,0,0)");
897 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 0, 1)
898 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 0, 1),
899 "T3(i,j,l)*T2(j,k)(2,0,1)");
900 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 0, 2)
901 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 0, 2),
902 "T3(i,j,l)*T2(j,k)(2,0,2)");
903 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 1, 0)
904 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 1, 0),
905 "T3(i,j,l)*T2(j,k)(2,1,0)");
906 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 1, 1)
907 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 1, 1),
908 "T3(i,j,l)*T2(j,k)(2,1,1)");
909 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 1, 2)
910 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 1, 2),
911 "T3(i,j,l)*T2(j,k)(2,1,2)");
912 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 2, 0)
913 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 2, 0),
914 "T3(i,j,l)*T2(j,k)(2,2,0)");
915 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 2, 1)
916 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 2, 1),
917 "T3(i,j,l)*T2(j,k)(2,2,1)");
918 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(j, k))(2, 2, 2)
919 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 2, 2),
920 "T3(i,j,l)*T2(j,k)(2,2,2)");
921
922 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 0, 0)
923 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 0, 0),
924 "T3(i,j,l)*T2(k,j)(0,0,0)");
925 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 0, 1)
926 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 0, 1),
927 "T3(i,j,l)*T2(k,j)(0,0,1)");
928 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 0, 2)
929 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 0, 2),
930 "T3(i,j,l)*T2(k,j)(0,0,2)");
931 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 1, 0)
932 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 1, 0),
933 "T3(i,j,l)*T2(k,j)(0,1,0)");
934 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 1, 1)
935 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 1, 1),
936 "T3(i,j,l)*T2(k,j)(0,1,1)");
937 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 1, 2)
938 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 1, 2),
939 "T3(i,j,l)*T2(k,j)(0,1,2)");
940 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 2, 0)
941 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 2, 0),
942 "T3(i,j,l)*T2(k,j)(0,2,0)");
943 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 2, 1)
944 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 2, 1),
945 "T3(i,j,l)*T2(k,j)(0,2,1)");
946 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(0, 2, 2)
947 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 2, 2),
948 "T3(i,j,l)*T2(k,j)(0,2,2)");
949 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 0, 0)
950 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 0, 0),
951 "T3(i,j,l)*T2(k,j)(1,0,0)");
952 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 0, 1)
953 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 0, 1),
954 "T3(i,j,l)*T2(k,j)(1,0,1)");
955 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 0, 2)
956 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 0, 2),
957 "T3(i,j,l)*T2(k,j)(1,0,2)");
958 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 1, 0)
959 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 1, 0),
960 "T3(i,j,l)*T2(k,j)(1,1,0)");
961 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 1, 1)
962 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 1, 1),
963 "T3(i,j,l)*T2(k,j)(1,1,1)");
964 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 1, 2)
965 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 1, 2),
966 "T3(i,j,l)*T2(k,j)(1,1,2)");
967 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 2, 0)
968 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 2, 0),
969 "T3(i,j,l)*T2(k,j)(1,2,0)");
970 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 2, 1)
971 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 2, 1),
972 "T3(i,j,l)*T2(k,j)(1,2,1)");
973 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(1, 2, 2)
974 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 2, 2),
975 "T3(i,j,l)*T2(k,j)(1,2,2)");
976 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 0, 0)
977 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 0, 0),
978 "T3(i,j,l)*T2(k,j)(2,0,0)");
979 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 0, 1)
980 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 0, 1),
981 "T3(i,j,l)*T2(k,j)(2,0,1)");
982 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 0, 2)
983 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 0, 2),
984 "T3(i,j,l)*T2(k,j)(2,0,2)");
985 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 1, 0)
986 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 1, 0),
987 "T3(i,j,l)*T2(k,j)(2,1,0)");
988 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 1, 1)
989 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 1, 1),
990 "T3(i,j,l)*T2(k,j)(2,1,1)");
991 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 1, 2)
992 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 1, 2),
993 "T3(i,j,l)*T2(k,j)(2,1,2)");
994 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 2, 0)
995 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 2, 0),
996 "T3(i,j,l)*T2(k,j)(2,2,0)");
997 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 2, 1)
998 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 2, 1),
999 "T3(i,j,l)*T2(k,j)(2,2,1)");
1000 test_for_zero(((t2_2(i, j) * t1_2(l)) * t2_3(k, j))(2, 2, 2)
1001 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 2, 2),
1002 "T3(i,j,l)*T2(k,j)(2,2,2)");
1003
1004 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 0, 0)
1005 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 0, 0),
1006 "T2(j,k)*T3(i,j,l)(0,0,0)");
1007 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 0, 1)
1008 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 0, 1),
1009 "T2(j,k)*T3(i,j,l)(0,0,1)");
1010 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 0, 2)
1011 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 0, 2),
1012 "T2(j,k)*T3(i,j,l)(0,0,2)");
1013 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 1, 0)
1014 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 1, 0),
1015 "T2(j,k)*T3(i,j,l)(0,1,0)");
1016 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 1, 1)
1017 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 1, 1),
1018 "T2(j,k)*T3(i,j,l)(0,1,1)");
1019 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 1, 2)
1020 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 1, 2),
1021 "T2(j,k)*T3(i,j,l)(0,1,2)");
1022 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 2, 0)
1023 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 2, 0),
1024 "T2(j,k)*T3(i,j,l)(0,2,0)");
1025 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 2, 1)
1026 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 2, 1),
1027 "T2(j,k)*T3(i,j,l)(0,2,1)");
1028 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(0, 2, 2)
1029 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(0, 2, 2),
1030 "T2(j,k)*T3(i,j,l)(0,2,2)");
1031 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 0, 0)
1032 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 0, 0),
1033 "T2(j,k)*T3(i,j,l)(1,0,0)");
1034 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 0, 1)
1035 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 0, 1),
1036 "T2(j,k)*T3(i,j,l)(1,0,1)");
1037 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 0, 2)
1038 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 0, 2),
1039 "T2(j,k)*T3(i,j,l)(1,0,2)");
1040 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 1, 0)
1041 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 1, 0),
1042 "T2(j,k)*T3(i,j,l)(1,1,0)");
1043 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 1, 1)
1044 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 1, 1),
1045 "T2(j,k)*T3(i,j,l)(1,1,1)");
1046 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 1, 2)
1047 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 1, 2),
1048 "T2(j,k)*T3(i,j,l)(1,1,2)");
1049 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 2, 0)
1050 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 2, 0),
1051 "T2(j,k)*T3(i,j,l)(1,2,0)");
1052 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 2, 1)
1053 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 2, 1),
1054 "T2(j,k)*T3(i,j,l)(1,2,1)");
1055 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(1, 2, 2)
1056 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(1, 2, 2),
1057 "T2(j,k)*T3(i,j,l)(1,2,2)");
1058 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 0, 0)
1059 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 0, 0),
1060 "T2(j,k)*T3(i,j,l)(2,0,0)");
1061 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 0, 1)
1062 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 0, 1),
1063 "T2(j,k)*T3(i,j,l)(2,0,1)");
1064 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 0, 2)
1065 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 0, 2),
1066 "T2(j,k)*T3(i,j,l)(2,0,2)");
1067 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 1, 0)
1068 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 1, 0),
1069 "T2(j,k)*T3(i,j,l)(2,1,0)");
1070 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 1, 1)
1071 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 1, 1),
1072 "T2(j,k)*T3(i,j,l)(2,1,1)");
1073 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 1, 2)
1074 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 1, 2),
1075 "T2(j,k)*T3(i,j,l)(2,1,2)");
1076 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 2, 0)
1077 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 2, 0),
1078 "T2(j,k)*T3(i,j,l)(2,2,0)");
1079 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 2, 1)
1080 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 2, 1),
1081 "T2(j,k)*T3(i,j,l)(2,2,1)");
1082 test_for_zero((t2_3(j, k) * (t2_2(i, j) * t1_2(l)))(2, 2, 2)
1083 - ((t2_2(i, j) * t2_3(j, k)) * t1_2(l))(2, 2, 2),
1084 "T2(j,k)*T3(i,j,l)(2,2,2)");
1085
1086 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 0, 0)
1087 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 0, 0),
1088 "T2(k,j)*T3(i,j,l)(0,0,0)");
1089 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 0, 1)
1090 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 0, 1),
1091 "T2(k,j)*T3(i,j,l)(0,0,1)");
1092 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 0, 2)
1093 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 0, 2),
1094 "T2(k,j)*T3(i,j,l)(0,0,2)");
1095 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 1, 0)
1096 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 1, 0),
1097 "T2(k,j)*T3(i,j,l)(0,1,0)");
1098 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 1, 1)
1099 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 1, 1),
1100 "T2(k,j)*T3(i,j,l)(0,1,1)");
1101 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 1, 2)
1102 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 1, 2),
1103 "T2(k,j)*T3(i,j,l)(0,1,2)");
1104 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 2, 0)
1105 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 2, 0),
1106 "T2(k,j)*T3(i,j,l)(0,2,0)");
1107 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 2, 1)
1108 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 2, 1),
1109 "T2(k,j)*T3(i,j,l)(0,2,1)");
1110 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(0, 2, 2)
1111 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(0, 2, 2),
1112 "T2(k,j)*T3(i,j,l)(0,2,2)");
1113 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 0, 0)
1114 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 0, 0),
1115 "T2(k,j)*T3(i,j,l)(1,0,0)");
1116 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 0, 1)
1117 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 0, 1),
1118 "T2(k,j)*T3(i,j,l)(1,0,1)");
1119 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 0, 2)
1120 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 0, 2),
1121 "T2(k,j)*T3(i,j,l)(1,0,2)");
1122 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 1, 0)
1123 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 1, 0),
1124 "T2(k,j)*T3(i,j,l)(1,1,0)");
1125 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 1, 1)
1126 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 1, 1),
1127 "T2(k,j)*T3(i,j,l)(1,1,1)");
1128 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 1, 2)
1129 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 1, 2),
1130 "T2(k,j)*T3(i,j,l)(1,1,2)");
1131 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 2, 0)
1132 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 2, 0),
1133 "T2(k,j)*T3(i,j,l)(1,2,0)");
1134 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 2, 1)
1135 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 2, 1),
1136 "T2(k,j)*T3(i,j,l)(1,2,1)");
1137 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(1, 2, 2)
1138 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(1, 2, 2),
1139 "T2(k,j)*T3(i,j,l)(1,2,2)");
1140 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 0, 0)
1141 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 0, 0),
1142 "T2(k,j)*T3(i,j,l)(2,0,0)");
1143 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 0, 1)
1144 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 0, 1),
1145 "T2(k,j)*T3(i,j,l)(2,0,1)");
1146 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 0, 2)
1147 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 0, 2),
1148 "T2(k,j)*T3(i,j,l)(2,0,2)");
1149 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 1, 0)
1150 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 1, 0),
1151 "T2(k,j)*T3(i,j,l)(2,1,0)");
1152 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 1, 1)
1153 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 1, 1),
1154 "T2(k,j)*T3(i,j,l)(2,1,1)");
1155 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 1, 2)
1156 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 1, 2),
1157 "T2(k,j)*T3(i,j,l)(2,1,2)");
1158 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 2, 0)
1159 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 2, 0),
1160 "T2(k,j)*T3(i,j,l)(2,2,0)");
1161 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 2, 1)
1162 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 2, 1),
1163 "T2(k,j)*T3(i,j,l)(2,2,1)");
1164 test_for_zero((t2_3(k, j) * (t2_2(i, j) * t1_2(l)))(2, 2, 2)
1165 - ((t2_2(i, j) * t2_3(k, j)) * t1_2(l))(2, 2, 2),
1166 "T2(k,j)*T3(i,j,l)(2,2,2)");
1167
1168 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 0, 0)
1169 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 0, 0),
1170 "T3(i,k,l)*T2(i,j)(0,0,0)");
1171 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 0, 1)
1172 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 0, 1),
1173 "T3(i,k,l)*T2(i,j)(0,0,1)");
1174 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 0, 2)
1175 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 0, 2),
1176 "T3(i,k,l)*T2(i,j)(0,0,2)");
1177 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 1, 0)
1178 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 1, 0),
1179 "T3(i,k,l)*T2(i,j)(0,1,0)");
1180 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 1, 1)
1181 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 1, 1),
1182 "T3(i,k,l)*T2(i,j)(0,1,1)");
1183 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 1, 2)
1184 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 1, 2),
1185 "T3(i,k,l)*T2(i,j)(0,1,2)");
1186 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 2, 0)
1187 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 2, 0),
1188 "T3(i,k,l)*T2(i,j)(0,2,0)");
1189 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 2, 1)
1190 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 2, 1),
1191 "T3(i,k,l)*T2(i,j)(0,2,1)");
1192 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(0, 2, 2)
1193 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 2, 2),
1194 "T3(i,k,l)*T2(i,j)(0,2,2)");
1195 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 0, 0)
1196 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 0, 0),
1197 "T3(i,k,l)*T2(i,j)(1,0,0)");
1198 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 0, 1)
1199 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 0, 1),
1200 "T3(i,k,l)*T2(i,j)(1,0,1)");
1201 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 0, 2)
1202 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 0, 2),
1203 "T3(i,k,l)*T2(i,j)(1,0,2)");
1204 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 1, 0)
1205 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 1, 0),
1206 "T3(i,k,l)*T2(i,j)(1,1,0)");
1207 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 1, 1)
1208 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 1, 1),
1209 "T3(i,k,l)*T2(i,j)(1,1,1)");
1210 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 1, 2)
1211 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 1, 2),
1212 "T3(i,k,l)*T2(i,j)(1,1,2)");
1213 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 2, 0)
1214 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 2, 0),
1215 "T3(i,k,l)*T2(i,j)(1,2,0)");
1216 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 2, 1)
1217 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 2, 1),
1218 "T3(i,k,l)*T2(i,j)(1,2,1)");
1219 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(1, 2, 2)
1220 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 2, 2),
1221 "T3(i,k,l)*T2(i,j)(1,2,2)");
1222 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 0, 0)
1223 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 0, 0),
1224 "T3(i,k,l)*T2(i,j)(2,0,0)");
1225 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 0, 1)
1226 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 0, 1),
1227 "T3(i,k,l)*T2(i,j)(2,0,1)");
1228 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 0, 2)
1229 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 0, 2),
1230 "T3(i,k,l)*T2(i,j)(2,0,2)");
1231 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 1, 0)
1232 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 1, 0),
1233 "T3(i,k,l)*T2(i,j)(2,1,0)");
1234 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 1, 1)
1235 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 1, 1),
1236 "T3(i,k,l)*T2(i,j)(2,1,1)");
1237 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 1, 2)
1238 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 1, 2),
1239 "T3(i,k,l)*T2(i,j)(2,1,2)");
1240 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 2, 0)
1241 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 2, 0),
1242 "T3(i,k,l)*T2(i,j)(2,2,0)");
1243 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 2, 1)
1244 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 2, 1),
1245 "T3(i,k,l)*T2(i,j)(2,2,1)");
1246 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(i, j))(2, 2, 2)
1247 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 2, 2),
1248 "T3(i,k,l)*T2(i,j)(2,2,2)");
1249
1250 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 0, 0)
1251 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 0, 0),
1252 "T3(i,k,l)*T2(j,i)(0,0,0)");
1253 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 0, 1)
1254 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 0, 1),
1255 "T3(i,k,l)*T2(j,i)(0,0,1)");
1256 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 0, 2)
1257 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 0, 2),
1258 "T3(i,k,l)*T2(j,i)(0,0,2)");
1259 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 1, 0)
1260 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 1, 0),
1261 "T3(i,k,l)*T2(j,i)(0,1,0)");
1262 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 1, 1)
1263 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 1, 1),
1264 "T3(i,k,l)*T2(j,i)(0,1,1)");
1265 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 1, 2)
1266 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 1, 2),
1267 "T3(i,k,l)*T2(j,i)(0,1,2)");
1268 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 2, 0)
1269 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 2, 0),
1270 "T3(i,k,l)*T2(j,i)(0,2,0)");
1271 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 2, 1)
1272 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 2, 1),
1273 "T3(i,k,l)*T2(j,i)(0,2,1)");
1274 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(0, 2, 2)
1275 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 2, 2),
1276 "T3(i,k,l)*T2(j,i)(0,2,2)");
1277 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 0, 0)
1278 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 0, 0),
1279 "T3(i,k,l)*T2(j,i)(1,0,0)");
1280 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 0, 1)
1281 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 0, 1),
1282 "T3(i,k,l)*T2(j,i)(1,0,1)");
1283 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 0, 2)
1284 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 0, 2),
1285 "T3(i,k,l)*T2(j,i)(1,0,2)");
1286 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 1, 0)
1287 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 1, 0),
1288 "T3(i,k,l)*T2(j,i)(1,1,0)");
1289 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 1, 1)
1290 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 1, 1),
1291 "T3(i,k,l)*T2(j,i)(1,1,1)");
1292 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 1, 2)
1293 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 1, 2),
1294 "T3(i,k,l)*T2(j,i)(1,1,2)");
1295 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 2, 0)
1296 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 2, 0),
1297 "T3(i,k,l)*T2(j,i)(1,2,0)");
1298 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 2, 1)
1299 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 2, 1),
1300 "T3(i,k,l)*T2(j,i)(1,2,1)");
1301 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(1, 2, 2)
1302 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 2, 2),
1303 "T3(i,k,l)*T2(j,i)(1,2,2)");
1304 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 0, 0)
1305 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 0, 0),
1306 "T3(i,k,l)*T2(j,i)(2,0,0)");
1307 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 0, 1)
1308 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 0, 1),
1309 "T3(i,k,l)*T2(j,i)(2,0,1)");
1310 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 0, 2)
1311 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 0, 2),
1312 "T3(i,k,l)*T2(j,i)(2,0,2)");
1313 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 1, 0)
1314 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 1, 0),
1315 "T3(i,k,l)*T2(j,i)(2,1,0)");
1316 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 1, 1)
1317 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 1, 1),
1318 "T3(i,k,l)*T2(j,i)(2,1,1)");
1319 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 1, 2)
1320 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 1, 2),
1321 "T3(i,k,l)*T2(j,i)(2,1,2)");
1322 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 2, 0)
1323 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 2, 0),
1324 "T3(i,k,l)*T2(j,i)(2,2,0)");
1325 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 2, 1)
1326 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 2, 1),
1327 "T3(i,k,l)*T2(j,i)(2,2,1)");
1328 test_for_zero(((t2_2(i, k) * t1_2(l)) * t2_3(j, i))(2, 2, 2)
1329 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 2, 2),
1330 "T3(i,k,l)*T2(j,i)(2,2,2)");
1331
1332 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 0, 0)
1333 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 0, 0),
1334 "T2(i,j)*T3(i,k,l)(0,0,0)");
1335 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 0, 1)
1336 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 0, 1),
1337 "T2(i,j)*T3(i,k,l)(0,0,1)");
1338 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 0, 2)
1339 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 0, 2),
1340 "T2(i,j)*T3(i,k,l)(0,0,2)");
1341 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 1, 0)
1342 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 1, 0),
1343 "T2(i,j)*T3(i,k,l)(0,1,0)");
1344 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 1, 1)
1345 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 1, 1),
1346 "T2(i,j)*T3(i,k,l)(0,1,1)");
1347 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 1, 2)
1348 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 1, 2),
1349 "T2(i,j)*T3(i,k,l)(0,1,2)");
1350 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 2, 0)
1351 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 2, 0),
1352 "T2(i,j)*T3(i,k,l)(0,2,0)");
1353 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 2, 1)
1354 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 2, 1),
1355 "T2(i,j)*T3(i,k,l)(0,2,1)");
1356 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(0, 2, 2)
1357 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(0, 2, 2),
1358 "T2(i,j)*T3(i,k,l)(0,2,2)");
1359 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 0, 0)
1360 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 0, 0),
1361 "T2(i,j)*T3(i,k,l)(1,0,0)");
1362 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 0, 1)
1363 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 0, 1),
1364 "T2(i,j)*T3(i,k,l)(1,0,1)");
1365 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 0, 2)
1366 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 0, 2),
1367 "T2(i,j)*T3(i,k,l)(1,0,2)");
1368 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 1, 0)
1369 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 1, 0),
1370 "T2(i,j)*T3(i,k,l)(1,1,0)");
1371 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 1, 1)
1372 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 1, 1),
1373 "T2(i,j)*T3(i,k,l)(1,1,1)");
1374 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 1, 2)
1375 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 1, 2),
1376 "T2(i,j)*T3(i,k,l)(1,1,2)");
1377 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 2, 0)
1378 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 2, 0),
1379 "T2(i,j)*T3(i,k,l)(1,2,0)");
1380 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 2, 1)
1381 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 2, 1),
1382 "T2(i,j)*T3(i,k,l)(1,2,1)");
1383 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(1, 2, 2)
1384 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(1, 2, 2),
1385 "T2(i,j)*T3(i,k,l)(1,2,2)");
1386 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 0, 0)
1387 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 0, 0),
1388 "T2(i,j)*T3(i,k,l)(2,0,0)");
1389 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 0, 1)
1390 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 0, 1),
1391 "T2(i,j)*T3(i,k,l)(2,0,1)");
1392 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 0, 2)
1393 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 0, 2),
1394 "T2(i,j)*T3(i,k,l)(2,0,2)");
1395 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 1, 0)
1396 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 1, 0),
1397 "T2(i,j)*T3(i,k,l)(2,1,0)");
1398 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 1, 1)
1399 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 1, 1),
1400 "T2(i,j)*T3(i,k,l)(2,1,1)");
1401 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 1, 2)
1402 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 1, 2),
1403 "T2(i,j)*T3(i,k,l)(2,1,2)");
1404 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 2, 0)
1405 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 2, 0),
1406 "T2(i,j)*T3(i,k,l)(2,2,0)");
1407 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 2, 1)
1408 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 2, 1),
1409 "T2(i,j)*T3(i,k,l)(2,2,1)");
1410 test_for_zero((t2_3(i, j) * (t2_2(i, k) * t1_2(l)))(2, 2, 2)
1411 - ((t2_3(i, j) * t2_2(i, k)) * t1_2(l))(2, 2, 2),
1412 "T2(i,j)*T3(i,k,l)(2,2,2)");
1413
1414 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 0, 0)
1415 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 0, 0),
1416 "T2(j,i)*T3(i,k,l)(0,0,0)");
1417 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 0, 1)
1418 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 0, 1),
1419 "T2(j,i)*T3(i,k,l)(0,0,1)");
1420 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 0, 2)
1421 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 0, 2),
1422 "T2(j,i)*T3(i,k,l)(0,0,2)");
1423 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 1, 0)
1424 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 1, 0),
1425 "T2(j,i)*T3(i,k,l)(0,1,0)");
1426 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 1, 1)
1427 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 1, 1),
1428 "T2(j,i)*T3(i,k,l)(0,1,1)");
1429 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 1, 2)
1430 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 1, 2),
1431 "T2(j,i)*T3(i,k,l)(0,1,2)");
1432 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 2, 0)
1433 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 2, 0),
1434 "T2(j,i)*T3(i,k,l)(0,2,0)");
1435 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 2, 1)
1436 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 2, 1),
1437 "T2(j,i)*T3(i,k,l)(0,2,1)");
1438 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(0, 2, 2)
1439 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(0, 2, 2),
1440 "T2(j,i)*T3(i,k,l)(0,2,2)");
1441 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 0, 0)
1442 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 0, 0),
1443 "T2(j,i)*T3(i,k,l)(1,0,0)");
1444 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 0, 1)
1445 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 0, 1),
1446 "T2(j,i)*T3(i,k,l)(1,0,1)");
1447 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 0, 2)
1448 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 0, 2),
1449 "T2(j,i)*T3(i,k,l)(1,0,2)");
1450 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 1, 0)
1451 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 1, 0),
1452 "T2(j,i)*T3(i,k,l)(1,1,0)");
1453 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 1, 1)
1454 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 1, 1),
1455 "T2(j,i)*T3(i,k,l)(1,1,1)");
1456 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 1, 2)
1457 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 1, 2),
1458 "T2(j,i)*T3(i,k,l)(1,1,2)");
1459 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 2, 0)
1460 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 2, 0),
1461 "T2(j,i)*T3(i,k,l)(1,2,0)");
1462 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 2, 1)
1463 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 2, 1),
1464 "T2(j,i)*T3(i,k,l)(1,2,1)");
1465 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(1, 2, 2)
1466 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(1, 2, 2),
1467 "T2(j,i)*T3(i,k,l)(1,2,2)");
1468 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 0, 0)
1469 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 0, 0),
1470 "T2(j,i)*T3(i,k,l)(2,0,0)");
1471 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 0, 1)
1472 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 0, 1),
1473 "T2(j,i)*T3(i,k,l)(2,0,1)");
1474 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 0, 2)
1475 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 0, 2),
1476 "T2(j,i)*T3(i,k,l)(2,0,2)");
1477 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 1, 0)
1478 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 1, 0),
1479 "T2(j,i)*T3(i,k,l)(2,1,0)");
1480 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 1, 1)
1481 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 1, 1),
1482 "T2(j,i)*T3(i,k,l)(2,1,1)");
1483 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 1, 2)
1484 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 1, 2),
1485 "T2(j,i)*T3(i,k,l)(2,1,2)");
1486 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 2, 0)
1487 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 2, 0),
1488 "T2(j,i)*T3(i,k,l)(2,2,0)");
1489 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 2, 1)
1490 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 2, 1),
1491 "T2(j,i)*T3(i,k,l)(2,2,1)");
1492 test_for_zero((t2_3(j, i) * (t2_2(i, k) * t1_2(l)))(2, 2, 2)
1493 - ((t2_3(j, i) * t2_2(i, k)) * t1_2(l))(2, 2, 2),
1494 "T2(j,i)*T3(i,k,l)(2,2,2)");
1495
1496 test_for_zero((t2_2(i, j) * t1_2(k)) * (t2_3(i, j) * t1_1(k))
1497 - (t2_2(0, 0) * t1_2(0) * t2_3(0, 0) * t1_1(0)
1498 + t2_2(1, 0) * t1_2(0) * t2_3(1, 0) * t1_1(0)
1499 + t2_2(2, 0) * t1_2(0) * t2_3(2, 0) * t1_1(0)
1500 + t2_2(0, 1) * t1_2(0) * t2_3(0, 1) * t1_1(0)
1501 + t2_2(1, 1) * t1_2(0) * t2_3(1, 1) * t1_1(0)
1502 + t2_2(2, 1) * t1_2(0) * t2_3(2, 1) * t1_1(0)
1503 + t2_2(0, 2) * t1_2(0) * t2_3(0, 2) * t1_1(0)
1504 + t2_2(1, 2) * t1_2(0) * t2_3(1, 2) * t1_1(0)
1505 + t2_2(2, 2) * t1_2(0) * t2_3(2, 2) * t1_1(0)
1506 + t2_2(0, 0) * t1_2(1) * t2_3(0, 0) * t1_1(1)
1507 + t2_2(1, 0) * t1_2(1) * t2_3(1, 0) * t1_1(1)
1508 + t2_2(2, 0) * t1_2(1) * t2_3(2, 0) * t1_1(1)
1509 + t2_2(0, 1) * t1_2(1) * t2_3(0, 1) * t1_1(1)
1510 + t2_2(1, 1) * t1_2(1) * t2_3(1, 1) * t1_1(1)
1511 + t2_2(2, 1) * t1_2(1) * t2_3(2, 1) * t1_1(1)
1512 + t2_2(0, 2) * t1_2(1) * t2_3(0, 2) * t1_1(1)
1513 + t2_2(1, 2) * t1_2(1) * t2_3(1, 2) * t1_1(1)
1514 + t2_2(2, 2) * t1_2(1) * t2_3(2, 2) * t1_1(1)
1515 + t2_2(0, 0) * t1_2(2) * t2_3(0, 0) * t1_1(2)
1516 + t2_2(1, 0) * t1_2(2) * t2_3(1, 0) * t1_1(2)
1517 + t2_2(2, 0) * t1_2(2) * t2_3(2, 0) * t1_1(2)
1518 + t2_2(0, 1) * t1_2(2) * t2_3(0, 1) * t1_1(2)
1519 + t2_2(1, 1) * t1_2(2) * t2_3(1, 1) * t1_1(2)
1520 + t2_2(2, 1) * t1_2(2) * t2_3(2, 1) * t1_1(2)
1521 + t2_2(0, 2) * t1_2(2) * t2_3(0, 2) * t1_1(2)
1522 + t2_2(1, 2) * t1_2(2) * t2_3(1, 2) * t1_1(2)
1523 + t2_2(2, 2) * t1_2(2) * t2_3(2, 2) * t1_1(2)),
1524 "T3(i,j,k)*T3(i,j,k)");
1525
1526 test_for_zero((t2_2(i, j) * t1_2(k)) * (t2_3(j, i) * t1_1(k))
1527 - (t2_2(0, 0) * t1_2(0) * t2_3(0, 0) * t1_1(0)
1528 + t2_2(1, 0) * t1_2(0) * t2_3(0, 1) * t1_1(0)
1529 + t2_2(2, 0) * t1_2(0) * t2_3(0, 2) * t1_1(0)
1530 + t2_2(0, 1) * t1_2(0) * t2_3(1, 0) * t1_1(0)
1531 + t2_2(1, 1) * t1_2(0) * t2_3(1, 1) * t1_1(0)
1532 + t2_2(2, 1) * t1_2(0) * t2_3(1, 2) * t1_1(0)
1533 + t2_2(0, 2) * t1_2(0) * t2_3(2, 0) * t1_1(0)
1534 + t2_2(1, 2) * t1_2(0) * t2_3(2, 1) * t1_1(0)
1535 + t2_2(2, 2) * t1_2(0) * t2_3(2, 2) * t1_1(0)
1536 + t2_2(0, 0) * t1_2(1) * t2_3(0, 0) * t1_1(1)
1537 + t2_2(1, 0) * t1_2(1) * t2_3(0, 1) * t1_1(1)
1538 + t2_2(2, 0) * t1_2(1) * t2_3(0, 2) * t1_1(1)
1539 + t2_2(0, 1) * t1_2(1) * t2_3(1, 0) * t1_1(1)
1540 + t2_2(1, 1) * t1_2(1) * t2_3(1, 1) * t1_1(1)
1541 + t2_2(2, 1) * t1_2(1) * t2_3(1, 2) * t1_1(1)
1542 + t2_2(0, 2) * t1_2(1) * t2_3(2, 0) * t1_1(1)
1543 + t2_2(1, 2) * t1_2(1) * t2_3(2, 1) * t1_1(1)
1544 + t2_2(2, 2) * t1_2(1) * t2_3(2, 2) * t1_1(1)
1545 + t2_2(0, 0) * t1_2(2) * t2_3(0, 0) * t1_1(2)
1546 + t2_2(1, 0) * t1_2(2) * t2_3(0, 1) * t1_1(2)
1547 + t2_2(2, 0) * t1_2(2) * t2_3(0, 2) * t1_1(2)
1548 + t2_2(0, 1) * t1_2(2) * t2_3(1, 0) * t1_1(2)
1549 + t2_2(1, 1) * t1_2(2) * t2_3(1, 1) * t1_1(2)
1550 + t2_2(2, 1) * t1_2(2) * t2_3(1, 2) * t1_1(2)
1551 + t2_2(0, 2) * t1_2(2) * t2_3(2, 0) * t1_1(2)
1552 + t2_2(1, 2) * t1_2(2) * t2_3(2, 1) * t1_1(2)
1553 + t2_2(2, 2) * t1_2(2) * t2_3(2, 2) * t1_1(2)),
1554 "T3(i,j,k)*T3(j,i,k)");
1555
1556 test_for_zero((t2_2(i, j) * t1_2(k)) * (t2_3(i, k) * t1_1(j))
1557 - (t2_2(0, 0) * t1_2(0) * t2_3(0, 0) * t1_1(0)
1558 + t2_2(1, 0) * t1_2(0) * t2_3(1, 0) * t1_1(0)
1559 + t2_2(2, 0) * t1_2(0) * t2_3(2, 0) * t1_1(0)
1560 + t2_2(0, 1) * t1_2(0) * t2_3(0, 0) * t1_1(1)
1561 + t2_2(1, 1) * t1_2(0) * t2_3(1, 0) * t1_1(1)
1562 + t2_2(2, 1) * t1_2(0) * t2_3(2, 0) * t1_1(1)
1563 + t2_2(0, 2) * t1_2(0) * t2_3(0, 0) * t1_1(2)
1564 + t2_2(1, 2) * t1_2(0) * t2_3(1, 0) * t1_1(2)
1565 + t2_2(2, 2) * t1_2(0) * t2_3(2, 0) * t1_1(2)
1566 + t2_2(0, 0) * t1_2(1) * t2_3(0, 1) * t1_1(0)
1567 + t2_2(1, 0) * t1_2(1) * t2_3(1, 1) * t1_1(0)
1568 + t2_2(2, 0) * t1_2(1) * t2_3(2, 1) * t1_1(0)
1569 + t2_2(0, 1) * t1_2(1) * t2_3(0, 1) * t1_1(1)
1570 + t2_2(1, 1) * t1_2(1) * t2_3(1, 1) * t1_1(1)
1571 + t2_2(2, 1) * t1_2(1) * t2_3(2, 1) * t1_1(1)
1572 + t2_2(0, 2) * t1_2(1) * t2_3(0, 1) * t1_1(2)
1573 + t2_2(1, 2) * t1_2(1) * t2_3(1, 1) * t1_1(2)
1574 + t2_2(2, 2) * t1_2(1) * t2_3(2, 1) * t1_1(2)
1575 + t2_2(0, 0) * t1_2(2) * t2_3(0, 2) * t1_1(0)
1576 + t2_2(1, 0) * t1_2(2) * t2_3(1, 2) * t1_1(0)
1577 + t2_2(2, 0) * t1_2(2) * t2_3(2, 2) * t1_1(0)
1578 + t2_2(0, 1) * t1_2(2) * t2_3(0, 2) * t1_1(1)
1579 + t2_2(1, 1) * t1_2(2) * t2_3(1, 2) * t1_1(1)
1580 + t2_2(2, 1) * t1_2(2) * t2_3(2, 2) * t1_1(1)
1581 + t2_2(0, 2) * t1_2(2) * t2_3(0, 2) * t1_1(2)
1582 + t2_2(1, 2) * t1_2(2) * t2_3(1, 2) * t1_1(2)
1583 + t2_2(2, 2) * t1_2(2) * t2_3(2, 2) * t1_1(2)),
1584 "T3(i,j,k)*T3(i,k,j)");
1585
1586 test_for_zero((t2_2(i, j) * t1_2(k)) * (t2_3(j, k) * t1_1(i))
1587 - (t2_2(0, 0) * t1_2(0) * t2_3(0, 0) * t1_1(0)
1588 + t2_2(1, 0) * t1_2(0) * t2_3(0, 0) * t1_1(1)
1589 + t2_2(2, 0) * t1_2(0) * t2_3(0, 0) * t1_1(2)
1590 + t2_2(0, 1) * t1_2(0) * t2_3(1, 0) * t1_1(0)
1591 + t2_2(1, 1) * t1_2(0) * t2_3(1, 0) * t1_1(1)
1592 + t2_2(2, 1) * t1_2(0) * t2_3(1, 0) * t1_1(2)
1593 + t2_2(0, 2) * t1_2(0) * t2_3(2, 0) * t1_1(0)
1594 + t2_2(1, 2) * t1_2(0) * t2_3(2, 0) * t1_1(1)
1595 + t2_2(2, 2) * t1_2(0) * t2_3(2, 0) * t1_1(2)
1596 + t2_2(0, 0) * t1_2(1) * t2_3(0, 1) * t1_1(0)
1597 + t2_2(1, 0) * t1_2(1) * t2_3(0, 1) * t1_1(1)
1598 + t2_2(2, 0) * t1_2(1) * t2_3(0, 1) * t1_1(2)
1599 + t2_2(0, 1) * t1_2(1) * t2_3(1, 1) * t1_1(0)
1600 + t2_2(1, 1) * t1_2(1) * t2_3(1, 1) * t1_1(1)
1601 + t2_2(2, 1) * t1_2(1) * t2_3(1, 1) * t1_1(2)
1602 + t2_2(0, 2) * t1_2(1) * t2_3(2, 1) * t1_1(0)
1603 + t2_2(1, 2) * t1_2(1) * t2_3(2, 1) * t1_1(1)
1604 + t2_2(2, 2) * t1_2(1) * t2_3(2, 1) * t1_1(2)
1605 + t2_2(0, 0) * t1_2(2) * t2_3(0, 2) * t1_1(0)
1606 + t2_2(1, 0) * t1_2(2) * t2_3(0, 2) * t1_1(1)
1607 + t2_2(2, 0) * t1_2(2) * t2_3(0, 2) * t1_1(2)
1608 + t2_2(0, 1) * t1_2(2) * t2_3(1, 2) * t1_1(0)
1609 + t2_2(1, 1) * t1_2(2) * t2_3(1, 2) * t1_1(1)
1610 + t2_2(2, 1) * t1_2(2) * t2_3(1, 2) * t1_1(2)
1611 + t2_2(0, 2) * t1_2(2) * t2_3(2, 2) * t1_1(0)
1612 + t2_2(1, 2) * t1_2(2) * t2_3(2, 2) * t1_1(1)
1613 + t2_2(2, 2) * t1_2(2) * t2_3(2, 2) * t1_1(2)),
1614 "T3(i,j,k)*T3(j,k,i)");
1615
1616 test_for_zero((t2_2(i, j) * t1_2(k)) * (t2_3(k, j) * t1_1(i))
1617 - (t2_2(0, 0) * t1_2(0) * t2_3(0, 0) * t1_1(0)
1618 + t2_2(1, 0) * t1_2(0) * t2_3(0, 0) * t1_1(1)
1619 + t2_2(2, 0) * t1_2(0) * t2_3(0, 0) * t1_1(2)
1620 + t2_2(0, 1) * t1_2(0) * t2_3(0, 1) * t1_1(0)
1621 + t2_2(1, 1) * t1_2(0) * t2_3(0, 1) * t1_1(1)
1622 + t2_2(2, 1) * t1_2(0) * t2_3(0, 1) * t1_1(2)
1623 + t2_2(0, 2) * t1_2(0) * t2_3(0, 2) * t1_1(0)
1624 + t2_2(1, 2) * t1_2(0) * t2_3(0, 2) * t1_1(1)
1625 + t2_2(2, 2) * t1_2(0) * t2_3(0, 2) * t1_1(2)
1626 + t2_2(0, 0) * t1_2(1) * t2_3(1, 0) * t1_1(0)
1627 + t2_2(1, 0) * t1_2(1) * t2_3(1, 0) * t1_1(1)
1628 + t2_2(2, 0) * t1_2(1) * t2_3(1, 0) * t1_1(2)
1629 + t2_2(0, 1) * t1_2(1) * t2_3(1, 1) * t1_1(0)
1630 + t2_2(1, 1) * t1_2(1) * t2_3(1, 1) * t1_1(1)
1631 + t2_2(2, 1) * t1_2(1) * t2_3(1, 1) * t1_1(2)
1632 + t2_2(0, 2) * t1_2(1) * t2_3(1, 2) * t1_1(0)
1633 + t2_2(1, 2) * t1_2(1) * t2_3(1, 2) * t1_1(1)
1634 + t2_2(2, 2) * t1_2(1) * t2_3(1, 2) * t1_1(2)
1635 + t2_2(0, 0) * t1_2(2) * t2_3(2, 0) * t1_1(0)
1636 + t2_2(1, 0) * t1_2(2) * t2_3(2, 0) * t1_1(1)
1637 + t2_2(2, 0) * t1_2(2) * t2_3(2, 0) * t1_1(2)
1638 + t2_2(0, 1) * t1_2(2) * t2_3(2, 1) * t1_1(0)
1639 + t2_2(1, 1) * t1_2(2) * t2_3(2, 1) * t1_1(1)
1640 + t2_2(2, 1) * t1_2(2) * t2_3(2, 1) * t1_1(2)
1641 + t2_2(0, 2) * t1_2(2) * t2_3(2, 2) * t1_1(0)
1642 + t2_2(1, 2) * t1_2(2) * t2_3(2, 2) * t1_1(1)
1643 + t2_2(2, 2) * t1_2(2) * t2_3(2, 2) * t1_1(2)),
1644 "T3(i,j,k)*T3(k,j,i)");
1645
1646 test_for_zero((t2_2(i, j) * t1_2(k)) * (t2_3(k, i) * t1_1(j))
1647 - (t2_2(0, 0) * t1_2(0) * t2_3(0, 0) * t1_1(0)
1648 + t2_2(1, 0) * t1_2(0) * t2_3(0, 1) * t1_1(0)
1649 + t2_2(2, 0) * t1_2(0) * t2_3(0, 2) * t1_1(0)
1650 + t2_2(0, 1) * t1_2(0) * t2_3(0, 0) * t1_1(1)
1651 + t2_2(1, 1) * t1_2(0) * t2_3(0, 1) * t1_1(1)
1652 + t2_2(2, 1) * t1_2(0) * t2_3(0, 2) * t1_1(1)
1653 + t2_2(0, 2) * t1_2(0) * t2_3(0, 0) * t1_1(2)
1654 + t2_2(1, 2) * t1_2(0) * t2_3(0, 1) * t1_1(2)
1655 + t2_2(2, 2) * t1_2(0) * t2_3(0, 2) * t1_1(2)
1656 + t2_2(0, 0) * t1_2(1) * t2_3(1, 0) * t1_1(0)
1657 + t2_2(1, 0) * t1_2(1) * t2_3(1, 1) * t1_1(0)
1658 + t2_2(2, 0) * t1_2(1) * t2_3(1, 2) * t1_1(0)
1659 + t2_2(0, 1) * t1_2(1) * t2_3(1, 0) * t1_1(1)
1660 + t2_2(1, 1) * t1_2(1) * t2_3(1, 1) * t1_1(1)
1661 + t2_2(2, 1) * t1_2(1) * t2_3(1, 2) * t1_1(1)
1662 + t2_2(0, 2) * t1_2(1) * t2_3(1, 0) * t1_1(2)
1663 + t2_2(1, 2) * t1_2(1) * t2_3(1, 1) * t1_1(2)
1664 + t2_2(2, 2) * t1_2(1) * t2_3(1, 2) * t1_1(2)
1665 + t2_2(0, 0) * t1_2(2) * t2_3(2, 0) * t1_1(0)
1666 + t2_2(1, 0) * t1_2(2) * t2_3(2, 1) * t1_1(0)
1667 + t2_2(2, 0) * t1_2(2) * t2_3(2, 2) * t1_1(0)
1668 + t2_2(0, 1) * t1_2(2) * t2_3(2, 0) * t1_1(1)
1669 + t2_2(1, 1) * t1_2(2) * t2_3(2, 1) * t1_1(1)
1670 + t2_2(2, 1) * t1_2(2) * t2_3(2, 2) * t1_1(1)
1671 + t2_2(0, 2) * t1_2(2) * t2_3(2, 0) * t1_1(2)
1672 + t2_2(1, 2) * t1_2(2) * t2_3(2, 1) * t1_1(2)
1673 + t2_2(2, 2) * t1_2(2) * t2_3(2, 2) * t1_1(2)),
1674 "T3(i,j,k)*T3(k,i,j)");
1675
1676 test_for_zero((t2_2(i, j) * t1_2(k)) * (t3dg_2(i, j, k))
1677 - (t2_2(0, 0) * t1_2(0) * t3dg_2(0, 0, 0)
1678 + t2_2(1, 0) * t1_2(0) * t3dg_2(1, 0, 0)
1679 + t2_2(2, 0) * t1_2(0) * t3dg_2(2, 0, 0)
1680 + t2_2(0, 1) * t1_2(0) * t3dg_2(0, 1, 0)
1681 + t2_2(1, 1) * t1_2(0) * t3dg_2(1, 1, 0)
1682 + t2_2(2, 1) * t1_2(0) * t3dg_2(2, 1, 0)
1683 + t2_2(0, 2) * t1_2(0) * t3dg_2(0, 2, 0)
1684 + t2_2(1, 2) * t1_2(0) * t3dg_2(1, 2, 0)
1685 + t2_2(2, 2) * t1_2(0) * t3dg_2(2, 2, 0)
1686 + t2_2(0, 0) * t1_2(1) * t3dg_2(0, 0, 1)
1687 + t2_2(1, 0) * t1_2(1) * t3dg_2(1, 0, 1)
1688 + t2_2(2, 0) * t1_2(1) * t3dg_2(2, 0, 1)
1689 + t2_2(0, 1) * t1_2(1) * t3dg_2(0, 1, 1)
1690 + t2_2(1, 1) * t1_2(1) * t3dg_2(1, 1, 1)
1691 + t2_2(2, 1) * t1_2(1) * t3dg_2(2, 1, 1)
1692 + t2_2(0, 2) * t1_2(1) * t3dg_2(0, 2, 1)
1693 + t2_2(1, 2) * t1_2(1) * t3dg_2(1, 2, 1)
1694 + t2_2(2, 2) * t1_2(1) * t3dg_2(2, 2, 1)
1695 + t2_2(0, 0) * t1_2(2) * t3dg_2(0, 0, 2)
1696 + t2_2(1, 0) * t1_2(2) * t3dg_2(1, 0, 2)
1697 + t2_2(2, 0) * t1_2(2) * t3dg_2(2, 0, 2)
1698 + t2_2(0, 1) * t1_2(2) * t3dg_2(0, 1, 2)
1699 + t2_2(1, 1) * t1_2(2) * t3dg_2(1, 1, 2)
1700 + t2_2(2, 1) * t1_2(2) * t3dg_2(2, 1, 2)
1701 + t2_2(0, 2) * t1_2(2) * t3dg_2(0, 2, 2)
1702 + t2_2(1, 2) * t1_2(2) * t3dg_2(1, 2, 2)
1703 + t2_2(2, 2) * t1_2(2) * t3dg_2(2, 2, 2)),
1704 "T3(i,j,k)*T3dg(i,j,k)");
1705
1706 test_for_zero((t2_2(i, j) * t1_2(k)) * (t3dg_2(j, i, k))
1707 - (t2_2(0, 0) * t1_2(0) * t3dg_2(0, 0, 0)
1708 + t2_2(1, 0) * t1_2(0) * t3dg_2(0, 1, 0)
1709 + t2_2(2, 0) * t1_2(0) * t3dg_2(0, 2, 0)
1710 + t2_2(0, 1) * t1_2(0) * t3dg_2(1, 0, 0)
1711 + t2_2(1, 1) * t1_2(0) * t3dg_2(1, 1, 0)
1712 + t2_2(2, 1) * t1_2(0) * t3dg_2(1, 2, 0)
1713 + t2_2(0, 2) * t1_2(0) * t3dg_2(2, 0, 0)
1714 + t2_2(1, 2) * t1_2(0) * t3dg_2(2, 1, 0)
1715 + t2_2(2, 2) * t1_2(0) * t3dg_2(2, 2, 0)
1716 + t2_2(0, 0) * t1_2(1) * t3dg_2(0, 0, 1)
1717 + t2_2(1, 0) * t1_2(1) * t3dg_2(0, 1, 1)
1718 + t2_2(2, 0) * t1_2(1) * t3dg_2(0, 2, 1)
1719 + t2_2(0, 1) * t1_2(1) * t3dg_2(1, 0, 1)
1720 + t2_2(1, 1) * t1_2(1) * t3dg_2(1, 1, 1)
1721 + t2_2(2, 1) * t1_2(1) * t3dg_2(1, 2, 1)
1722 + t2_2(0, 2) * t1_2(1) * t3dg_2(2, 0, 1)
1723 + t2_2(1, 2) * t1_2(1) * t3dg_2(2, 1, 1)
1724 + t2_2(2, 2) * t1_2(1) * t3dg_2(2, 2, 1)
1725 + t2_2(0, 0) * t1_2(2) * t3dg_2(0, 0, 2)
1726 + t2_2(1, 0) * t1_2(2) * t3dg_2(0, 1, 2)
1727 + t2_2(2, 0) * t1_2(2) * t3dg_2(0, 2, 2)
1728 + t2_2(0, 1) * t1_2(2) * t3dg_2(1, 0, 2)
1729 + t2_2(1, 1) * t1_2(2) * t3dg_2(1, 1, 2)
1730 + t2_2(2, 1) * t1_2(2) * t3dg_2(1, 2, 2)
1731 + t2_2(0, 2) * t1_2(2) * t3dg_2(2, 0, 2)
1732 + t2_2(1, 2) * t1_2(2) * t3dg_2(2, 1, 2)
1733 + t2_2(2, 2) * t1_2(2) * t3dg_2(2, 2, 2)),
1734 "T3(i,j,k)*T3dg(j,i,k)");
1735
1736 test_for_zero((t2_2(i, j) * t1_2(k)) * (t3dg_2(i, k, j))
1737 - (t2_2(0, 0) * t1_2(0) * t3dg_2(0, 0, 0)
1738 + t2_2(1, 0) * t1_2(0) * t3dg_2(1, 0, 0)
1739 + t2_2(2, 0) * t1_2(0) * t3dg_2(2, 0, 0)
1740 + t2_2(0, 1) * t1_2(0) * t3dg_2(0, 0, 1)
1741 + t2_2(1, 1) * t1_2(0) * t3dg_2(1, 0, 1)
1742 + t2_2(2, 1) * t1_2(0) * t3dg_2(2, 0, 1)
1743 + t2_2(0, 2) * t1_2(0) * t3dg_2(0, 0, 2)
1744 + t2_2(1, 2) * t1_2(0) * t3dg_2(1, 0, 2)
1745 + t2_2(2, 2) * t1_2(0) * t3dg_2(2, 0, 2)
1746 + t2_2(0, 0) * t1_2(1) * t3dg_2(0, 1, 0)
1747 + t2_2(1, 0) * t1_2(1) * t3dg_2(1, 1, 0)
1748 + t2_2(2, 0) * t1_2(1) * t3dg_2(2, 1, 0)
1749 + t2_2(0, 1) * t1_2(1) * t3dg_2(0, 1, 1)
1750 + t2_2(1, 1) * t1_2(1) * t3dg_2(1, 1, 1)
1751 + t2_2(2, 1) * t1_2(1) * t3dg_2(2, 1, 1)
1752 + t2_2(0, 2) * t1_2(1) * t3dg_2(0, 1, 2)
1753 + t2_2(1, 2) * t1_2(1) * t3dg_2(1, 1, 2)
1754 + t2_2(2, 2) * t1_2(1) * t3dg_2(2, 1, 2)
1755 + t2_2(0, 0) * t1_2(2) * t3dg_2(0, 2, 0)
1756 + t2_2(1, 0) * t1_2(2) * t3dg_2(1, 2, 0)
1757 + t2_2(2, 0) * t1_2(2) * t3dg_2(2, 2, 0)
1758 + t2_2(0, 1) * t1_2(2) * t3dg_2(0, 2, 1)
1759 + t2_2(1, 1) * t1_2(2) * t3dg_2(1, 2, 1)
1760 + t2_2(2, 1) * t1_2(2) * t3dg_2(2, 2, 1)
1761 + t2_2(0, 2) * t1_2(2) * t3dg_2(0, 2, 2)
1762 + t2_2(1, 2) * t1_2(2) * t3dg_2(1, 2, 2)
1763 + t2_2(2, 2) * t1_2(2) * t3dg_2(2, 2, 2)),
1764 "T3(i,j,k)*T3dg(i,k,j)");
1765
1766 test_for_zero((t2_2(i, j) * t1_2(k)) * (t3dg_2(j, k, i))
1767 - (t2_2(0, 0) * t1_2(0) * t3dg_2(0, 0, 0)
1768 + t2_2(1, 0) * t1_2(0) * t3dg_2(0, 0, 1)
1769 + t2_2(2, 0) * t1_2(0) * t3dg_2(0, 0, 2)
1770 + t2_2(0, 1) * t1_2(0) * t3dg_2(1, 0, 0)
1771 + t2_2(1, 1) * t1_2(0) * t3dg_2(1, 0, 1)
1772 + t2_2(2, 1) * t1_2(0) * t3dg_2(1, 0, 2)
1773 + t2_2(0, 2) * t1_2(0) * t3dg_2(2, 0, 0)
1774 + t2_2(1, 2) * t1_2(0) * t3dg_2(2, 0, 1)
1775 + t2_2(2, 2) * t1_2(0) * t3dg_2(2, 0, 2)
1776 + t2_2(0, 0) * t1_2(1) * t3dg_2(0, 1, 0)
1777 + t2_2(1, 0) * t1_2(1) * t3dg_2(0, 1, 1)
1778 + t2_2(2, 0) * t1_2(1) * t3dg_2(0, 1, 2)
1779 + t2_2(0, 1) * t1_2(1) * t3dg_2(1, 1, 0)
1780 + t2_2(1, 1) * t1_2(1) * t3dg_2(1, 1, 1)
1781 + t2_2(2, 1) * t1_2(1) * t3dg_2(1, 1, 2)
1782 + t2_2(0, 2) * t1_2(1) * t3dg_2(2, 1, 0)
1783 + t2_2(1, 2) * t1_2(1) * t3dg_2(2, 1, 1)
1784 + t2_2(2, 2) * t1_2(1) * t3dg_2(2, 1, 2)
1785 + t2_2(0, 0) * t1_2(2) * t3dg_2(0, 2, 0)
1786 + t2_2(1, 0) * t1_2(2) * t3dg_2(0, 2, 1)
1787 + t2_2(2, 0) * t1_2(2) * t3dg_2(0, 2, 2)
1788 + t2_2(0, 1) * t1_2(2) * t3dg_2(1, 2, 0)
1789 + t2_2(1, 1) * t1_2(2) * t3dg_2(1, 2, 1)
1790 + t2_2(2, 1) * t1_2(2) * t3dg_2(1, 2, 2)
1791 + t2_2(0, 2) * t1_2(2) * t3dg_2(2, 2, 0)
1792 + t2_2(1, 2) * t1_2(2) * t3dg_2(2, 2, 1)
1793 + t2_2(2, 2) * t1_2(2) * t3dg_2(2, 2, 2)),
1794 "T3(i,j,k)*T3dg(j,k,i)");
1795
1796 test_for_zero((t2_2(i, j) * t1_2(k)) * (t3dg_2(k, j, i))
1797 - (t2_2(0, 0) * t1_2(0) * t3dg_2(0, 0, 0)
1798 + t2_2(1, 0) * t1_2(0) * t3dg_2(0, 0, 1)
1799 + t2_2(2, 0) * t1_2(0) * t3dg_2(0, 0, 2)
1800 + t2_2(0, 1) * t1_2(0) * t3dg_2(0, 1, 0)
1801 + t2_2(1, 1) * t1_2(0) * t3dg_2(0, 1, 1)
1802 + t2_2(2, 1) * t1_2(0) * t3dg_2(0, 1, 2)
1803 + t2_2(0, 2) * t1_2(0) * t3dg_2(0, 2, 0)
1804 + t2_2(1, 2) * t1_2(0) * t3dg_2(0, 2, 1)
1805 + t2_2(2, 2) * t1_2(0) * t3dg_2(0, 2, 2)
1806 + t2_2(0, 0) * t1_2(1) * t3dg_2(1, 0, 0)
1807 + t2_2(1, 0) * t1_2(1) * t3dg_2(1, 0, 1)
1808 + t2_2(2, 0) * t1_2(1) * t3dg_2(1, 0, 2)
1809 + t2_2(0, 1) * t1_2(1) * t3dg_2(1, 1, 0)
1810 + t2_2(1, 1) * t1_2(1) * t3dg_2(1, 1, 1)
1811 + t2_2(2, 1) * t1_2(1) * t3dg_2(1, 1, 2)
1812 + t2_2(0, 2) * t1_2(1) * t3dg_2(1, 2, 0)
1813 + t2_2(1, 2) * t1_2(1) * t3dg_2(1, 2, 1)
1814 + t2_2(2, 2) * t1_2(1) * t3dg_2(1, 2, 2)
1815 + t2_2(0, 0) * t1_2(2) * t3dg_2(2, 0, 0)
1816 + t2_2(1, 0) * t1_2(2) * t3dg_2(2, 0, 1)
1817 + t2_2(2, 0) * t1_2(2) * t3dg_2(2, 0, 2)
1818 + t2_2(0, 1) * t1_2(2) * t3dg_2(2, 1, 0)
1819 + t2_2(1, 1) * t1_2(2) * t3dg_2(2, 1, 1)
1820 + t2_2(2, 1) * t1_2(2) * t3dg_2(2, 1, 2)
1821 + t2_2(0, 2) * t1_2(2) * t3dg_2(2, 2, 0)
1822 + t2_2(1, 2) * t1_2(2) * t3dg_2(2, 2, 1)
1823 + t2_2(2, 2) * t1_2(2) * t3dg_2(2, 2, 2)),
1824 "T3(i,j,k)*T3dg(k,j,i)");
1825
1826 test_for_zero((t2_2(i, j) * t1_2(k)) * (t3dg_2(k, i, j))
1827 - (t2_2(0, 0) * t1_2(0) * t3dg_2(0, 0, 0)
1828 + t2_2(1, 0) * t1_2(0) * t3dg_2(0, 1, 0)
1829 + t2_2(2, 0) * t1_2(0) * t3dg_2(0, 2, 0)
1830 + t2_2(0, 1) * t1_2(0) * t3dg_2(0, 0, 1)
1831 + t2_2(1, 1) * t1_2(0) * t3dg_2(0, 1, 1)
1832 + t2_2(2, 1) * t1_2(0) * t3dg_2(0, 2, 1)
1833 + t2_2(0, 2) * t1_2(0) * t3dg_2(0, 0, 2)
1834 + t2_2(1, 2) * t1_2(0) * t3dg_2(0, 1, 2)
1835 + t2_2(2, 2) * t1_2(0) * t3dg_2(0, 2, 2)
1836 + t2_2(0, 0) * t1_2(1) * t3dg_2(1, 0, 0)
1837 + t2_2(1, 0) * t1_2(1) * t3dg_2(1, 1, 0)
1838 + t2_2(2, 0) * t1_2(1) * t3dg_2(1, 2, 0)
1839 + t2_2(0, 1) * t1_2(1) * t3dg_2(1, 0, 1)
1840 + t2_2(1, 1) * t1_2(1) * t3dg_2(1, 1, 1)
1841 + t2_2(2, 1) * t1_2(1) * t3dg_2(1, 2, 1)
1842 + t2_2(0, 2) * t1_2(1) * t3dg_2(1, 0, 2)
1843 + t2_2(1, 2) * t1_2(1) * t3dg_2(1, 1, 2)
1844 + t2_2(2, 2) * t1_2(1) * t3dg_2(1, 2, 2)
1845 + t2_2(0, 0) * t1_2(2) * t3dg_2(2, 0, 0)
1846 + t2_2(1, 0) * t1_2(2) * t3dg_2(2, 1, 0)
1847 + t2_2(2, 0) * t1_2(2) * t3dg_2(2, 2, 0)
1848 + t2_2(0, 1) * t1_2(2) * t3dg_2(2, 0, 1)
1849 + t2_2(1, 1) * t1_2(2) * t3dg_2(2, 1, 1)
1850 + t2_2(2, 1) * t1_2(2) * t3dg_2(2, 2, 1)
1851 + t2_2(0, 2) * t1_2(2) * t3dg_2(2, 0, 2)
1852 + t2_2(1, 2) * t1_2(2) * t3dg_2(2, 1, 2)
1853 + t2_2(2, 2) * t1_2(2) * t3dg_2(2, 2, 2)),
1854 "T3(i,j,k)*T3dg(k,i,j)");
1855}
FTensor::Tensor2_symmetric
Definition Tensor2_symmetric_value.hpp:14
i
FTensor::Index< 'i', SPACE_DIM > i
Definition hcurl_divergence_operator_2d.cpp:27
l
FTensor::Index< 'l', 3 > l
Definition matrix_function.cpp:21
j
FTensor::Index< 'j', 3 > j
Definition matrix_function.cpp:19
k
FTensor::Index< 'k', 3 > k
Definition matrix_function.cpp:20
FTensor
Tensors class implemented by Walter Landry.
Definition FTensor.hpp:51
test_T3_01
void test_T3_01(const Tensor1< double, 3 > &t1_1, const Tensor1< double, 3 > &t1_2, const Tensor2< double, 3, 3 > &t2_2, const Tensor2< double, 3, 3 > &t2_3, const Tensor2_symmetric< double, 3 > &t2s_2, const Tensor2_symmetric< double, 3 > &t2s_3, const Dg< double, 3, 3 > &t3dg_2)
Definition test_T3_01.cpp:7
test_for_zero
void test_for_zero(const T &t, const std::string &s)
Definition test_for_zero.hpp:7
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