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test_Levi_Civita.cpp File Reference
#include "../../../src/FTensor.hpp"
#include "../test_for_zero.hpp"
#include <iostream>

Go to the source code of this file.

Functions

void test_Levi_Civita_01 (void)
 
void test_Levi_Civita_02 (void)
 
void test_Levi_Civita_03 (void)
 
void test_Levi_Civita_04 (void)
 
void test_Levi_Civita ()
 

Function Documentation

◆ test_Levi_Civita()

void test_Levi_Civita ( )

Definition at line 12 of file test_Levi_Civita.cpp.

13{
14 test_Levi_Civita_01();
15 test_Levi_Civita_02();
16 test_Levi_Civita_03();
17 test_Levi_Civita_04();
18}
test_Levi_Civita_02
void test_Levi_Civita_02(void)
Definition test_Levi_Civita_02.cpp:7
test_Levi_Civita_03
void test_Levi_Civita_03(void)
Definition test_Levi_Civita_03.cpp:7
test_Levi_Civita_01
void test_Levi_Civita_01(void)
Definition test_Levi_Civita_01.cpp:7
test_Levi_Civita_04
void test_Levi_Civita_04(void)
Definition test_Levi_Civita_04.cpp:7

◆ test_Levi_Civita_01()

void test_Levi_Civita_01 ( void )

Definition at line 7 of file test_Levi_Civita_01.cpp.

8{
9 Index<'i', 2> i;
10 Index<'j', 2> j;
11
12 Index<'k', 3> k;
13 Index<'l', 3> l;
14 Index<'m', 3> m;
15
16 Index<'n', 4> n;
17 Index<'o', 4> o;
18 Index<'p', 4> p;
19 Index<'q', 4> q;
20
21 Number<0> N0;
22 Number<1> N1;
23 Number<2> N2;
24
25 /* Test Levi_Civita Rank 2 */
26 test_for_zero(levi_civita(i, j)(0, 0), "levi_civita(i,j)(0,0)");
27 test_for_zero(levi_civita(i, j)(0, 1) - 1, "levi_civita(i,j)(0,1)");
28 test_for_zero(levi_civita(i, j)(1, 0) + 1, "levi_civita(i,j)(1,0)");
29 test_for_zero(levi_civita(i, j)(1, 1), "levi_civita(i,j)(1,1)");
30
31 /* Test Levi_Civita Rank 3 */
32 test_for_zero(levi_civita(k, l, m)(0, 0, 0), "levi_civita(k,l,m)(0,0,0)");
33 test_for_zero(levi_civita(k, l, m)(0, 0, 1), "levi_civita(k,l,m)(0,0,1)");
34 test_for_zero(levi_civita(k, l, m)(0, 0, 2), "levi_civita(k,l,m)(0,0,2)");
35 test_for_zero(levi_civita(k, l, m)(0, 1, 0), "levi_civita(k,l,m)(0,1,0)");
36 test_for_zero(levi_civita(k, l, m)(0, 1, 1), "levi_civita(k,l,m)(0,1,1)");
37 test_for_zero(levi_civita(k, l, m)(0, 1, 2) - 1,
38 "levi_civita(k,l,m)(0,1,2)");
39 test_for_zero(levi_civita(k, l, m)(0, 2, 0), "levi_civita(k,l,m)(0,2,0)");
40 test_for_zero(levi_civita(k, l, m)(0, 2, 1) + 1,
41 "levi_civita(k,l,m)(0,2,1)");
42 test_for_zero(levi_civita(k, l, m)(0, 2, 2), "levi_civita(k,l,m)(0,2,2)");
43 test_for_zero(levi_civita(k, l, m)(1, 0, 0), "levi_civita(k,l,m)(1,0,0)");
44 test_for_zero(levi_civita(k, l, m)(1, 0, 1), "levi_civita(k,l,m)(1,0,1)");
45 test_for_zero(levi_civita(k, l, m)(1, 0, 2) + 1,
46 "levi_civita(k,l,m)(1,0,2)");
47 test_for_zero(levi_civita(k, l, m)(1, 1, 0), "levi_civita(k,l,m)(1,1,0)");
48 test_for_zero(levi_civita(k, l, m)(1, 1, 1), "levi_civita(k,l,m)(1,1,1)");
49 test_for_zero(levi_civita(k, l, m)(1, 1, 2), "levi_civita(k,l,m)(1,1,2)");
50 test_for_zero(levi_civita(k, l, m)(1, 2, 0) - 1,
51 "levi_civita(k,l,m)(1,2,0)");
52 test_for_zero(levi_civita(k, l, m)(1, 2, 1), "levi_civita(k,l,m)(1,2,1)");
53 test_for_zero(levi_civita(k, l, m)(1, 2, 2), "levi_civita(k,l,m)(1,2,2)");
54 test_for_zero(levi_civita(k, l, m)(2, 0, 0), "levi_civita(k,l,m)(2,0,0)");
55 test_for_zero(levi_civita(k, l, m)(2, 0, 1) - 1,
56 "levi_civita(k,l,m)(2,0,1)");
57 test_for_zero(levi_civita(k, l, m)(2, 0, 2), "levi_civita(k,l,m)(2,0,2)");
58 test_for_zero(levi_civita(k, l, m)(2, 1, 0) + 1,
59 "levi_civita(k,l,m)(2,1,0)");
60 test_for_zero(levi_civita(k, l, m)(2, 1, 1), "levi_civita(k,l,m)(2,1,1)");
61 test_for_zero(levi_civita(k, l, m)(2, 1, 2), "levi_civita(k,l,m)(2,1,2)");
62 test_for_zero(levi_civita(k, l, m)(2, 2, 0), "levi_civita(k,l,m)(2,2,0)");
63 test_for_zero(levi_civita(k, l, m)(2, 2, 1), "levi_civita(k,l,m)(2,2,1)");
64 test_for_zero(levi_civita(k, l, m)(2, 2, 2), "levi_civita(k,l,m)(2,2,2)");
65
66 /* Test Levi_Civita Rank 4 */
67 test_for_zero(levi_civita(n, o, p, q)(0, 0, 0, 0),
68 "levi_civita(n,o,p,q)(0,0,0,0)");
69 test_for_zero(levi_civita(n, o, p, q)(0, 0, 0, 1),
70 "levi_civita(n,o,p,q)(0,0,0,1)");
71 test_for_zero(levi_civita(n, o, p, q)(0, 0, 0, 2),
72 "levi_civita(n,o,p,q)(0,0,0,2)");
73 test_for_zero(levi_civita(n, o, p, q)(0, 0, 0, 3),
74 "levi_civita(n,o,p,q)(0,0,0,3)");
75 test_for_zero(levi_civita(n, o, p, q)(0, 0, 1, 0),
76 "levi_civita(n,o,p,q)(0,0,1,0)");
77 test_for_zero(levi_civita(n, o, p, q)(0, 0, 1, 1),
78 "levi_civita(n,o,p,q)(0,0,1,1)");
79 test_for_zero(levi_civita(n, o, p, q)(0, 0, 1, 2),
80 "levi_civita(n,o,p,q)(0,0,1,2)");
81 test_for_zero(levi_civita(n, o, p, q)(0, 0, 1, 3),
82 "levi_civita(n,o,p,q)(0,0,1,3)");
83 test_for_zero(levi_civita(n, o, p, q)(0, 0, 2, 0),
84 "levi_civita(n,o,p,q)(0,0,2,0)");
85 test_for_zero(levi_civita(n, o, p, q)(0, 0, 2, 1),
86 "levi_civita(n,o,p,q)(0,0,2,1)");
87 test_for_zero(levi_civita(n, o, p, q)(0, 0, 2, 2),
88 "levi_civita(n,o,p,q)(0,0,2,2)");
89 test_for_zero(levi_civita(n, o, p, q)(0, 0, 2, 3),
90 "levi_civita(n,o,p,q)(0,0,2,3)");
91 test_for_zero(levi_civita(n, o, p, q)(0, 0, 3, 0),
92 "levi_civita(n,o,p,q)(0,0,3,0)");
93 test_for_zero(levi_civita(n, o, p, q)(0, 0, 3, 1),
94 "levi_civita(n,o,p,q)(0,0,3,1)");
95 test_for_zero(levi_civita(n, o, p, q)(0, 0, 3, 2),
96 "levi_civita(n,o,p,q)(0,0,3,2)");
97 test_for_zero(levi_civita(n, o, p, q)(0, 0, 3, 3),
98 "levi_civita(n,o,p,q)(0,0,3,3)");
99 test_for_zero(levi_civita(n, o, p, q)(0, 1, 0, 0),
100 "levi_civita(n,o,p,q)(0,1,0,0)");
101 test_for_zero(levi_civita(n, o, p, q)(0, 1, 0, 1),
102 "levi_civita(n,o,p,q)(0,1,0,1)");
103 test_for_zero(levi_civita(n, o, p, q)(0, 1, 0, 2),
104 "levi_civita(n,o,p,q)(0,1,0,2)");
105 test_for_zero(levi_civita(n, o, p, q)(0, 1, 0, 3),
106 "levi_civita(n,o,p,q)(0,1,0,3)");
107 test_for_zero(levi_civita(n, o, p, q)(0, 1, 1, 0),
108 "levi_civita(n,o,p,q)(0,1,1,0)");
109 test_for_zero(levi_civita(n, o, p, q)(0, 1, 1, 1),
110 "levi_civita(n,o,p,q)(0,1,1,1)");
111 test_for_zero(levi_civita(n, o, p, q)(0, 1, 1, 2),
112 "levi_civita(n,o,p,q)(0,1,1,2)");
113 test_for_zero(levi_civita(n, o, p, q)(0, 1, 1, 3),
114 "levi_civita(n,o,p,q)(0,1,1,3)");
115 test_for_zero(levi_civita(n, o, p, q)(0, 1, 2, 0),
116 "levi_civita(n,o,p,q)(0,1,2,0)");
117 test_for_zero(levi_civita(n, o, p, q)(0, 1, 2, 1),
118 "levi_civita(n,o,p,q)(0,1,2,1)");
119 test_for_zero(levi_civita(n, o, p, q)(0, 1, 2, 2),
120 "levi_civita(n,o,p,q)(0,1,2,2)");
121 test_for_zero(levi_civita(n, o, p, q)(0, 1, 2, 3) - 1,
122 "levi_civita(n,o,p,q)(0,1,2,3)");
123 test_for_zero(levi_civita(n, o, p, q)(0, 1, 3, 0),
124 "levi_civita(n,o,p,q)(0,1,3,0)");
125 test_for_zero(levi_civita(n, o, p, q)(0, 1, 3, 1),
126 "levi_civita(n,o,p,q)(0,1,3,1)");
127 test_for_zero(levi_civita(n, o, p, q)(0, 1, 3, 2) + 1,
128 "levi_civita(n,o,p,q)(0,1,3,2)");
129 test_for_zero(levi_civita(n, o, p, q)(0, 1, 3, 3),
130 "levi_civita(n,o,p,q)(0,1,3,3)");
131 test_for_zero(levi_civita(n, o, p, q)(0, 2, 0, 0),
132 "levi_civita(n,o,p,q)(0,2,0,0)");
133 test_for_zero(levi_civita(n, o, p, q)(0, 2, 0, 1),
134 "levi_civita(n,o,p,q)(0,2,0,1)");
135 test_for_zero(levi_civita(n, o, p, q)(0, 2, 0, 2),
136 "levi_civita(n,o,p,q)(0,2,0,2)");
137 test_for_zero(levi_civita(n, o, p, q)(0, 2, 0, 3),
138 "levi_civita(n,o,p,q)(0,2,0,3)");
139 test_for_zero(levi_civita(n, o, p, q)(0, 2, 1, 0),
140 "levi_civita(n,o,p,q)(0,2,1,0)");
141 test_for_zero(levi_civita(n, o, p, q)(0, 2, 1, 1),
142 "levi_civita(n,o,p,q)(0,2,1,1)");
143 test_for_zero(levi_civita(n, o, p, q)(0, 2, 1, 2),
144 "levi_civita(n,o,p,q)(0,2,1,2)");
145 test_for_zero(levi_civita(n, o, p, q)(0, 2, 1, 3) + 1,
146 "levi_civita(n,o,p,q)(0,2,1,3)");
147 test_for_zero(levi_civita(n, o, p, q)(0, 2, 2, 0),
148 "levi_civita(n,o,p,q)(0,2,2,0)");
149 test_for_zero(levi_civita(n, o, p, q)(0, 2, 2, 1),
150 "levi_civita(n,o,p,q)(0,2,2,1)");
151 test_for_zero(levi_civita(n, o, p, q)(0, 2, 2, 2),
152 "levi_civita(n,o,p,q)(0,2,2,2)");
153 test_for_zero(levi_civita(n, o, p, q)(0, 2, 2, 3),
154 "levi_civita(n,o,p,q)(0,2,2,3)");
155 test_for_zero(levi_civita(n, o, p, q)(0, 2, 3, 0),
156 "levi_civita(n,o,p,q)(0,2,3,0)");
157 test_for_zero(levi_civita(n, o, p, q)(0, 2, 3, 1) - 1,
158 "levi_civita(n,o,p,q)(0,2,3,1)");
159 test_for_zero(levi_civita(n, o, p, q)(0, 2, 3, 2),
160 "levi_civita(n,o,p,q)(0,2,3,2)");
161 test_for_zero(levi_civita(n, o, p, q)(0, 2, 3, 3),
162 "levi_civita(n,o,p,q)(0,2,3,3)");
163 test_for_zero(levi_civita(n, o, p, q)(0, 3, 0, 0),
164 "levi_civita(n,o,p,q)(0,3,0,0)");
165 test_for_zero(levi_civita(n, o, p, q)(0, 3, 0, 1),
166 "levi_civita(n,o,p,q)(0,3,0,1)");
167 test_for_zero(levi_civita(n, o, p, q)(0, 3, 0, 2),
168 "levi_civita(n,o,p,q)(0,3,0,2)");
169 test_for_zero(levi_civita(n, o, p, q)(0, 3, 0, 3),
170 "levi_civita(n,o,p,q)(0,3,0,3)");
171 test_for_zero(levi_civita(n, o, p, q)(0, 3, 1, 0),
172 "levi_civita(n,o,p,q)(0,3,1,0)");
173 test_for_zero(levi_civita(n, o, p, q)(0, 3, 1, 1),
174 "levi_civita(n,o,p,q)(0,3,1,1)");
175 test_for_zero(levi_civita(n, o, p, q)(0, 3, 1, 2) - 1,
176 "levi_civita(n,o,p,q)(0,3,1,2)");
177 test_for_zero(levi_civita(n, o, p, q)(0, 3, 1, 3),
178 "levi_civita(n,o,p,q)(0,3,1,3)");
179 test_for_zero(levi_civita(n, o, p, q)(0, 3, 2, 0),
180 "levi_civita(n,o,p,q)(0,3,2,0)");
181 test_for_zero(levi_civita(n, o, p, q)(0, 3, 2, 1) + 1,
182 "levi_civita(n,o,p,q)(0,3,2,1)");
183 test_for_zero(levi_civita(n, o, p, q)(0, 3, 2, 2),
184 "levi_civita(n,o,p,q)(0,3,2,2)");
185 test_for_zero(levi_civita(n, o, p, q)(0, 3, 2, 3),
186 "levi_civita(n,o,p,q)(0,3,2,3)");
187 test_for_zero(levi_civita(n, o, p, q)(0, 3, 3, 0),
188 "levi_civita(n,o,p,q)(0,3,3,0)");
189 test_for_zero(levi_civita(n, o, p, q)(0, 3, 3, 1),
190 "levi_civita(n,o,p,q)(0,3,3,1)");
191 test_for_zero(levi_civita(n, o, p, q)(0, 3, 3, 2),
192 "levi_civita(n,o,p,q)(0,3,3,2)");
193 test_for_zero(levi_civita(n, o, p, q)(0, 3, 3, 3),
194 "levi_civita(n,o,p,q)(0,3,3,3)");
195
196 test_for_zero(levi_civita(n, o, p, q)(1, 0, 0, 0),
197 "levi_civita(n,o,p,q)(1,0,0,0)");
198 test_for_zero(levi_civita(n, o, p, q)(1, 0, 0, 1),
199 "levi_civita(n,o,p,q)(1,0,0,1)");
200 test_for_zero(levi_civita(n, o, p, q)(1, 0, 0, 2),
201 "levi_civita(n,o,p,q)(1,0,0,2)");
202 test_for_zero(levi_civita(n, o, p, q)(1, 0, 0, 3),
203 "levi_civita(n,o,p,q)(1,0,0,3)");
204 test_for_zero(levi_civita(n, o, p, q)(1, 0, 1, 0),
205 "levi_civita(n,o,p,q)(1,0,1,0)");
206 test_for_zero(levi_civita(n, o, p, q)(1, 0, 1, 1),
207 "levi_civita(n,o,p,q)(1,0,1,1)");
208 test_for_zero(levi_civita(n, o, p, q)(1, 0, 1, 2),
209 "levi_civita(n,o,p,q)(1,0,1,2)");
210 test_for_zero(levi_civita(n, o, p, q)(1, 0, 1, 3),
211 "levi_civita(n,o,p,q)(1,0,1,3)");
212 test_for_zero(levi_civita(n, o, p, q)(1, 0, 2, 0),
213 "levi_civita(n,o,p,q)(1,0,2,0)");
214 test_for_zero(levi_civita(n, o, p, q)(1, 0, 2, 1),
215 "levi_civita(n,o,p,q)(1,0,2,1)");
216 test_for_zero(levi_civita(n, o, p, q)(1, 0, 2, 2),
217 "levi_civita(n,o,p,q)(1,0,2,2)");
218 test_for_zero(levi_civita(n, o, p, q)(1, 0, 2, 3) + 1,
219 "levi_civita(n,o,p,q)(1,0,2,3)");
220 test_for_zero(levi_civita(n, o, p, q)(1, 0, 3, 0),
221 "levi_civita(n,o,p,q)(1,0,3,0)");
222 test_for_zero(levi_civita(n, o, p, q)(1, 0, 3, 1),
223 "levi_civita(n,o,p,q)(1,0,3,1)");
224 test_for_zero(levi_civita(n, o, p, q)(1, 0, 3, 2) - 1,
225 "levi_civita(n,o,p,q)(1,0,3,2)");
226 test_for_zero(levi_civita(n, o, p, q)(1, 0, 3, 3),
227 "levi_civita(n,o,p,q)(1,0,3,3)");
228 test_for_zero(levi_civita(n, o, p, q)(1, 1, 0, 0),
229 "levi_civita(n,o,p,q)(1,1,0,0)");
230 test_for_zero(levi_civita(n, o, p, q)(1, 1, 0, 1),
231 "levi_civita(n,o,p,q)(1,1,0,1)");
232 test_for_zero(levi_civita(n, o, p, q)(1, 1, 0, 2),
233 "levi_civita(n,o,p,q)(1,1,0,2)");
234 test_for_zero(levi_civita(n, o, p, q)(1, 1, 0, 3),
235 "levi_civita(n,o,p,q)(1,1,0,3)");
236 test_for_zero(levi_civita(n, o, p, q)(1, 1, 1, 0),
237 "levi_civita(n,o,p,q)(1,1,1,0)");
238 test_for_zero(levi_civita(n, o, p, q)(1, 1, 1, 1),
239 "levi_civita(n,o,p,q)(1,1,1,1)");
240 test_for_zero(levi_civita(n, o, p, q)(1, 1, 1, 2),
241 "levi_civita(n,o,p,q)(1,1,1,2)");
242 test_for_zero(levi_civita(n, o, p, q)(1, 1, 1, 3),
243 "levi_civita(n,o,p,q)(1,1,1,3)");
244 test_for_zero(levi_civita(n, o, p, q)(1, 1, 2, 0),
245 "levi_civita(n,o,p,q)(1,1,2,0)");
246 test_for_zero(levi_civita(n, o, p, q)(1, 1, 2, 1),
247 "levi_civita(n,o,p,q)(1,1,2,1)");
248 test_for_zero(levi_civita(n, o, p, q)(1, 1, 2, 2),
249 "levi_civita(n,o,p,q)(1,1,2,2)");
250 test_for_zero(levi_civita(n, o, p, q)(1, 1, 2, 3),
251 "levi_civita(n,o,p,q)(1,1,2,3)");
252 test_for_zero(levi_civita(n, o, p, q)(1, 1, 3, 0),
253 "levi_civita(n,o,p,q)(1,1,3,0)");
254 test_for_zero(levi_civita(n, o, p, q)(1, 1, 3, 1),
255 "levi_civita(n,o,p,q)(1,1,3,1)");
256 test_for_zero(levi_civita(n, o, p, q)(1, 1, 3, 2),
257 "levi_civita(n,o,p,q)(1,1,3,2)");
258 test_for_zero(levi_civita(n, o, p, q)(1, 1, 3, 3),
259 "levi_civita(n,o,p,q)(1,1,3,3)");
260 test_for_zero(levi_civita(n, o, p, q)(1, 2, 0, 0),
261 "levi_civita(n,o,p,q)(1,2,0,0)");
262 test_for_zero(levi_civita(n, o, p, q)(1, 2, 0, 1),
263 "levi_civita(n,o,p,q)(1,2,0,1)");
264 test_for_zero(levi_civita(n, o, p, q)(1, 2, 0, 2),
265 "levi_civita(n,o,p,q)(1,2,0,2)");
266 test_for_zero(levi_civita(n, o, p, q)(1, 2, 0, 3) - 1,
267 "levi_civita(n,o,p,q)(1,2,0,3)");
268 test_for_zero(levi_civita(n, o, p, q)(1, 2, 1, 0),
269 "levi_civita(n,o,p,q)(1,2,1,0)");
270 test_for_zero(levi_civita(n, o, p, q)(1, 2, 1, 1),
271 "levi_civita(n,o,p,q)(1,2,1,1)");
272 test_for_zero(levi_civita(n, o, p, q)(1, 2, 1, 2),
273 "levi_civita(n,o,p,q)(1,2,1,2)");
274 test_for_zero(levi_civita(n, o, p, q)(1, 2, 1, 3),
275 "levi_civita(n,o,p,q)(1,2,1,3)");
276 test_for_zero(levi_civita(n, o, p, q)(1, 2, 2, 0),
277 "levi_civita(n,o,p,q)(1,2,2,0)");
278 test_for_zero(levi_civita(n, o, p, q)(1, 2, 2, 1),
279 "levi_civita(n,o,p,q)(1,2,2,1)");
280 test_for_zero(levi_civita(n, o, p, q)(1, 2, 2, 2),
281 "levi_civita(n,o,p,q)(1,2,2,2)");
282 test_for_zero(levi_civita(n, o, p, q)(1, 2, 2, 3),
283 "levi_civita(n,o,p,q)(1,2,2,3)");
284 test_for_zero(levi_civita(n, o, p, q)(1, 2, 3, 0) + 1,
285 "levi_civita(n,o,p,q)(1,2,3,0)");
286 test_for_zero(levi_civita(n, o, p, q)(1, 2, 3, 1),
287 "levi_civita(n,o,p,q)(1,2,3,1)");
288 test_for_zero(levi_civita(n, o, p, q)(1, 2, 3, 2),
289 "levi_civita(n,o,p,q)(1,2,3,2)");
290 test_for_zero(levi_civita(n, o, p, q)(1, 2, 3, 3),
291 "levi_civita(n,o,p,q)(1,2,3,3)");
292 test_for_zero(levi_civita(n, o, p, q)(1, 3, 0, 0),
293 "levi_civita(n,o,p,q)(1,3,0,0)");
294 test_for_zero(levi_civita(n, o, p, q)(1, 3, 0, 1),
295 "levi_civita(n,o,p,q)(1,3,0,1)");
296 test_for_zero(levi_civita(n, o, p, q)(1, 3, 0, 2) + 1,
297 "levi_civita(n,o,p,q)(1,3,0,2)");
298 test_for_zero(levi_civita(n, o, p, q)(1, 3, 0, 3),
299 "levi_civita(n,o,p,q)(1,3,0,3)");
300 test_for_zero(levi_civita(n, o, p, q)(1, 3, 1, 0),
301 "levi_civita(n,o,p,q)(1,3,1,0)");
302 test_for_zero(levi_civita(n, o, p, q)(1, 3, 1, 1),
303 "levi_civita(n,o,p,q)(1,3,1,1)");
304 test_for_zero(levi_civita(n, o, p, q)(1, 3, 1, 2),
305 "levi_civita(n,o,p,q)(1,3,1,2)");
306 test_for_zero(levi_civita(n, o, p, q)(1, 3, 1, 3),
307 "levi_civita(n,o,p,q)(1,3,1,3)");
308 test_for_zero(levi_civita(n, o, p, q)(1, 3, 2, 0) - 1,
309 "levi_civita(n,o,p,q)(1,3,2,0)");
310 test_for_zero(levi_civita(n, o, p, q)(1, 3, 2, 1),
311 "levi_civita(n,o,p,q)(1,3,2,1)");
312 test_for_zero(levi_civita(n, o, p, q)(1, 3, 2, 2),
313 "levi_civita(n,o,p,q)(1,3,2,2)");
314 test_for_zero(levi_civita(n, o, p, q)(1, 3, 2, 3),
315 "levi_civita(n,o,p,q)(1,3,2,3)");
316 test_for_zero(levi_civita(n, o, p, q)(1, 3, 3, 0),
317 "levi_civita(n,o,p,q)(1,3,3,0)");
318 test_for_zero(levi_civita(n, o, p, q)(1, 3, 3, 1),
319 "levi_civita(n,o,p,q)(1,3,3,1)");
320 test_for_zero(levi_civita(n, o, p, q)(1, 3, 3, 2),
321 "levi_civita(n,o,p,q)(1,3,3,2)");
322 test_for_zero(levi_civita(n, o, p, q)(1, 3, 3, 3),
323 "levi_civita(n,o,p,q)(1,3,3,3)");
324
325 test_for_zero(levi_civita(n, o, p, q)(2, 0, 0, 0),
326 "levi_civita(n,o,p,q)(2,0,0,0)");
327 test_for_zero(levi_civita(n, o, p, q)(2, 0, 0, 1),
328 "levi_civita(n,o,p,q)(2,0,0,1)");
329 test_for_zero(levi_civita(n, o, p, q)(2, 0, 0, 2),
330 "levi_civita(n,o,p,q)(2,0,0,2)");
331 test_for_zero(levi_civita(n, o, p, q)(2, 0, 0, 3),
332 "levi_civita(n,o,p,q)(2,0,0,3)");
333 test_for_zero(levi_civita(n, o, p, q)(2, 0, 1, 0),
334 "levi_civita(n,o,p,q)(2,0,1,0)");
335 test_for_zero(levi_civita(n, o, p, q)(2, 0, 1, 1),
336 "levi_civita(n,o,p,q)(2,0,1,1)");
337 test_for_zero(levi_civita(n, o, p, q)(2, 0, 1, 2),
338 "levi_civita(n,o,p,q)(2,0,1,2)");
339 test_for_zero(levi_civita(n, o, p, q)(2, 0, 1, 3) - 1,
340 "levi_civita(n,o,p,q)(2,0,1,3)");
341 test_for_zero(levi_civita(n, o, p, q)(2, 0, 2, 0),
342 "levi_civita(n,o,p,q)(2,0,2,0)");
343 test_for_zero(levi_civita(n, o, p, q)(2, 0, 2, 1),
344 "levi_civita(n,o,p,q)(2,0,2,1)");
345 test_for_zero(levi_civita(n, o, p, q)(2, 0, 2, 2),
346 "levi_civita(n,o,p,q)(2,0,2,2)");
347 test_for_zero(levi_civita(n, o, p, q)(2, 0, 2, 3),
348 "levi_civita(n,o,p,q)(2,0,2,3)");
349 test_for_zero(levi_civita(n, o, p, q)(2, 0, 3, 0),
350 "levi_civita(n,o,p,q)(2,0,3,0)");
351 test_for_zero(levi_civita(n, o, p, q)(2, 0, 3, 1) + 1,
352 "levi_civita(n,o,p,q)(2,0,3,1)");
353 test_for_zero(levi_civita(n, o, p, q)(2, 0, 3, 2),
354 "levi_civita(n,o,p,q)(2,0,3,2)");
355 test_for_zero(levi_civita(n, o, p, q)(2, 0, 3, 3),
356 "levi_civita(n,o,p,q)(2,0,3,3)");
357 test_for_zero(levi_civita(n, o, p, q)(2, 1, 0, 0),
358 "levi_civita(n,o,p,q)(2,1,0,0)");
359 test_for_zero(levi_civita(n, o, p, q)(2, 1, 0, 1),
360 "levi_civita(n,o,p,q)(2,1,0,1)");
361 test_for_zero(levi_civita(n, o, p, q)(2, 1, 0, 2),
362 "levi_civita(n,o,p,q)(2,1,0,2)");
363 test_for_zero(levi_civita(n, o, p, q)(2, 1, 0, 3) + 1,
364 "levi_civita(n,o,p,q)(2,1,0,3)");
365 test_for_zero(levi_civita(n, o, p, q)(2, 1, 1, 0),
366 "levi_civita(n,o,p,q)(2,1,1,0)");
367 test_for_zero(levi_civita(n, o, p, q)(2, 1, 1, 1),
368 "levi_civita(n,o,p,q)(2,1,1,1)");
369 test_for_zero(levi_civita(n, o, p, q)(2, 1, 1, 2),
370 "levi_civita(n,o,p,q)(2,1,1,2)");
371 test_for_zero(levi_civita(n, o, p, q)(2, 1, 1, 3),
372 "levi_civita(n,o,p,q)(2,1,1,3)");
373 test_for_zero(levi_civita(n, o, p, q)(2, 1, 2, 0),
374 "levi_civita(n,o,p,q)(2,1,2,0)");
375 test_for_zero(levi_civita(n, o, p, q)(2, 1, 2, 1),
376 "levi_civita(n,o,p,q)(2,1,2,1)");
377 test_for_zero(levi_civita(n, o, p, q)(2, 1, 2, 2),
378 "levi_civita(n,o,p,q)(2,1,2,2)");
379 test_for_zero(levi_civita(n, o, p, q)(2, 1, 2, 3),
380 "levi_civita(n,o,p,q)(2,1,2,3)");
381 test_for_zero(levi_civita(n, o, p, q)(2, 1, 3, 0) - 1,
382 "levi_civita(n,o,p,q)(2,1,3,0)");
383 test_for_zero(levi_civita(n, o, p, q)(2, 1, 3, 1),
384 "levi_civita(n,o,p,q)(2,1,3,1)");
385 test_for_zero(levi_civita(n, o, p, q)(2, 1, 3, 2),
386 "levi_civita(n,o,p,q)(2,1,3,2)");
387 test_for_zero(levi_civita(n, o, p, q)(2, 1, 3, 3),
388 "levi_civita(n,o,p,q)(2,1,3,3)");
389 test_for_zero(levi_civita(n, o, p, q)(2, 2, 0, 0),
390 "levi_civita(n,o,p,q)(2,2,0,0)");
391 test_for_zero(levi_civita(n, o, p, q)(2, 2, 0, 1),
392 "levi_civita(n,o,p,q)(2,2,0,1)");
393 test_for_zero(levi_civita(n, o, p, q)(2, 2, 0, 2),
394 "levi_civita(n,o,p,q)(2,2,0,2)");
395 test_for_zero(levi_civita(n, o, p, q)(2, 2, 0, 3),
396 "levi_civita(n,o,p,q)(2,2,0,3)");
397 test_for_zero(levi_civita(n, o, p, q)(2, 2, 1, 0),
398 "levi_civita(n,o,p,q)(2,2,1,0)");
399 test_for_zero(levi_civita(n, o, p, q)(2, 2, 1, 1),
400 "levi_civita(n,o,p,q)(2,2,1,1)");
401 test_for_zero(levi_civita(n, o, p, q)(2, 2, 1, 2),
402 "levi_civita(n,o,p,q)(2,2,1,2)");
403 test_for_zero(levi_civita(n, o, p, q)(2, 2, 1, 3),
404 "levi_civita(n,o,p,q)(2,2,1,3)");
405 test_for_zero(levi_civita(n, o, p, q)(2, 2, 2, 0),
406 "levi_civita(n,o,p,q)(2,2,2,0)");
407 test_for_zero(levi_civita(n, o, p, q)(2, 2, 2, 1),
408 "levi_civita(n,o,p,q)(2,2,2,1)");
409 test_for_zero(levi_civita(n, o, p, q)(2, 2, 2, 2),
410 "levi_civita(n,o,p,q)(2,2,2,2)");
411 test_for_zero(levi_civita(n, o, p, q)(2, 2, 2, 3),
412 "levi_civita(n,o,p,q)(2,2,2,3)");
413 test_for_zero(levi_civita(n, o, p, q)(2, 2, 3, 0),
414 "levi_civita(n,o,p,q)(2,2,3,0)");
415 test_for_zero(levi_civita(n, o, p, q)(2, 2, 3, 1),
416 "levi_civita(n,o,p,q)(2,2,3,1)");
417 test_for_zero(levi_civita(n, o, p, q)(2, 2, 3, 2),
418 "levi_civita(n,o,p,q)(2,2,3,2)");
419 test_for_zero(levi_civita(n, o, p, q)(2, 2, 3, 3),
420 "levi_civita(n,o,p,q)(2,2,3,3)");
421 test_for_zero(levi_civita(n, o, p, q)(2, 3, 0, 0),
422 "levi_civita(n,o,p,q)(2,3,0,0)");
423 test_for_zero(levi_civita(n, o, p, q)(2, 3, 0, 1) - 1,
424 "levi_civita(n,o,p,q)(2,3,0,1)");
425 test_for_zero(levi_civita(n, o, p, q)(2, 3, 0, 2),
426 "levi_civita(n,o,p,q)(2,3,0,2)");
427 test_for_zero(levi_civita(n, o, p, q)(2, 3, 0, 3),
428 "levi_civita(n,o,p,q)(2,3,0,3)");
429 test_for_zero(levi_civita(n, o, p, q)(2, 3, 1, 0) + 1,
430 "levi_civita(n,o,p,q)(2,3,1,0)");
431 test_for_zero(levi_civita(n, o, p, q)(2, 3, 1, 1),
432 "levi_civita(n,o,p,q)(2,3,1,1)");
433 test_for_zero(levi_civita(n, o, p, q)(2, 3, 1, 2),
434 "levi_civita(n,o,p,q)(2,3,1,2)");
435 test_for_zero(levi_civita(n, o, p, q)(2, 3, 1, 3),
436 "levi_civita(n,o,p,q)(2,3,1,3)");
437 test_for_zero(levi_civita(n, o, p, q)(2, 3, 2, 0),
438 "levi_civita(n,o,p,q)(2,3,2,0)");
439 test_for_zero(levi_civita(n, o, p, q)(2, 3, 2, 1),
440 "levi_civita(n,o,p,q)(2,3,2,1)");
441 test_for_zero(levi_civita(n, o, p, q)(2, 3, 2, 2),
442 "levi_civita(n,o,p,q)(2,3,2,2)");
443 test_for_zero(levi_civita(n, o, p, q)(2, 3, 2, 3),
444 "levi_civita(n,o,p,q)(2,3,2,3)");
445 test_for_zero(levi_civita(n, o, p, q)(2, 3, 3, 0),
446 "levi_civita(n,o,p,q)(2,3,3,0)");
447 test_for_zero(levi_civita(n, o, p, q)(2, 3, 3, 1),
448 "levi_civita(n,o,p,q)(2,3,3,1)");
449 test_for_zero(levi_civita(n, o, p, q)(2, 3, 3, 2),
450 "levi_civita(n,o,p,q)(2,3,3,2)");
451 test_for_zero(levi_civita(n, o, p, q)(2, 3, 3, 3),
452 "levi_civita(n,o,p,q)(2,3,3,3)");
453
454 test_for_zero(levi_civita(n, o, p, q)(3, 0, 0, 0),
455 "levi_civita(n,o,p,q)(3,0,0,0)");
456 test_for_zero(levi_civita(n, o, p, q)(3, 0, 0, 1),
457 "levi_civita(n,o,p,q)(3,0,0,1)");
458 test_for_zero(levi_civita(n, o, p, q)(3, 0, 0, 2),
459 "levi_civita(n,o,p,q)(3,0,0,2)");
460 test_for_zero(levi_civita(n, o, p, q)(3, 0, 0, 3),
461 "levi_civita(n,o,p,q)(3,0,0,3)");
462 test_for_zero(levi_civita(n, o, p, q)(3, 0, 1, 0),
463 "levi_civita(n,o,p,q)(3,0,1,0)");
464 test_for_zero(levi_civita(n, o, p, q)(3, 0, 1, 1),
465 "levi_civita(n,o,p,q)(3,0,1,1)");
466 test_for_zero(levi_civita(n, o, p, q)(3, 0, 1, 2) + 1,
467 "levi_civita(n,o,p,q)(3,0,1,2)");
468 test_for_zero(levi_civita(n, o, p, q)(3, 0, 1, 3),
469 "levi_civita(n,o,p,q)(3,0,1,3)");
470 test_for_zero(levi_civita(n, o, p, q)(3, 0, 2, 0),
471 "levi_civita(n,o,p,q)(3,0,2,0)");
472 test_for_zero(levi_civita(n, o, p, q)(3, 0, 2, 1) - 1,
473 "levi_civita(n,o,p,q)(3,0,2,1)");
474 test_for_zero(levi_civita(n, o, p, q)(3, 0, 2, 2),
475 "levi_civita(n,o,p,q)(3,0,2,2)");
476 test_for_zero(levi_civita(n, o, p, q)(3, 0, 2, 3),
477 "levi_civita(n,o,p,q)(3,0,2,3)");
478 test_for_zero(levi_civita(n, o, p, q)(3, 0, 3, 0),
479 "levi_civita(n,o,p,q)(3,0,3,0)");
480 test_for_zero(levi_civita(n, o, p, q)(3, 0, 3, 1),
481 "levi_civita(n,o,p,q)(3,0,3,1)");
482 test_for_zero(levi_civita(n, o, p, q)(3, 0, 3, 2),
483 "levi_civita(n,o,p,q)(3,0,3,2)");
484 test_for_zero(levi_civita(n, o, p, q)(3, 0, 3, 3),
485 "levi_civita(n,o,p,q)(3,0,3,3)");
486 test_for_zero(levi_civita(n, o, p, q)(3, 1, 0, 0),
487 "levi_civita(n,o,p,q)(3,1,0,0)");
488 test_for_zero(levi_civita(n, o, p, q)(3, 1, 0, 1),
489 "levi_civita(n,o,p,q)(3,1,0,1)");
490 test_for_zero(levi_civita(n, o, p, q)(3, 1, 0, 2) - 1,
491 "levi_civita(n,o,p,q)(3,1,0,2)");
492 test_for_zero(levi_civita(n, o, p, q)(3, 1, 0, 3),
493 "levi_civita(n,o,p,q)(3,1,0,3)");
494 test_for_zero(levi_civita(n, o, p, q)(3, 1, 1, 0),
495 "levi_civita(n,o,p,q)(3,1,1,0)");
496 test_for_zero(levi_civita(n, o, p, q)(3, 1, 1, 1),
497 "levi_civita(n,o,p,q)(3,1,1,1)");
498 test_for_zero(levi_civita(n, o, p, q)(3, 1, 1, 2),
499 "levi_civita(n,o,p,q)(3,1,1,2)");
500 test_for_zero(levi_civita(n, o, p, q)(3, 1, 1, 3),
501 "levi_civita(n,o,p,q)(3,1,1,3)");
502 test_for_zero(levi_civita(n, o, p, q)(3, 1, 2, 0) + 1,
503 "levi_civita(n,o,p,q)(3,1,2,0)");
504 test_for_zero(levi_civita(n, o, p, q)(3, 1, 2, 1),
505 "levi_civita(n,o,p,q)(3,1,2,1)");
506 test_for_zero(levi_civita(n, o, p, q)(3, 1, 2, 2),
507 "levi_civita(n,o,p,q)(3,1,2,2)");
508 test_for_zero(levi_civita(n, o, p, q)(3, 1, 2, 3),
509 "levi_civita(n,o,p,q)(3,1,2,3)");
510 test_for_zero(levi_civita(n, o, p, q)(3, 1, 3, 0),
511 "levi_civita(n,o,p,q)(3,1,3,0)");
512 test_for_zero(levi_civita(n, o, p, q)(3, 1, 3, 1),
513 "levi_civita(n,o,p,q)(3,1,3,1)");
514 test_for_zero(levi_civita(n, o, p, q)(3, 1, 3, 2),
515 "levi_civita(n,o,p,q)(3,1,3,2)");
516 test_for_zero(levi_civita(n, o, p, q)(3, 1, 3, 3),
517 "levi_civita(n,o,p,q)(3,1,3,3)");
518 test_for_zero(levi_civita(n, o, p, q)(3, 2, 0, 0),
519 "levi_civita(n,o,p,q)(3,2,0,0)");
520 test_for_zero(levi_civita(n, o, p, q)(3, 2, 0, 1) + 1,
521 "levi_civita(n,o,p,q)(3,2,0,1)");
522 test_for_zero(levi_civita(n, o, p, q)(3, 2, 0, 2),
523 "levi_civita(n,o,p,q)(3,2,0,2)");
524 test_for_zero(levi_civita(n, o, p, q)(3, 2, 0, 3),
525 "levi_civita(n,o,p,q)(3,2,0,3)");
526 test_for_zero(levi_civita(n, o, p, q)(3, 2, 1, 0) - 1,
527 "levi_civita(n,o,p,q)(3,2,1,0)");
528 test_for_zero(levi_civita(n, o, p, q)(3, 2, 1, 1),
529 "levi_civita(n,o,p,q)(3,2,1,1)");
530 test_for_zero(levi_civita(n, o, p, q)(3, 2, 1, 2),
531 "levi_civita(n,o,p,q)(3,2,1,2)");
532 test_for_zero(levi_civita(n, o, p, q)(3, 2, 1, 3),
533 "levi_civita(n,o,p,q)(3,2,1,3)");
534 test_for_zero(levi_civita(n, o, p, q)(3, 2, 2, 0),
535 "levi_civita(n,o,p,q)(3,2,2,0)");
536 test_for_zero(levi_civita(n, o, p, q)(3, 2, 2, 1),
537 "levi_civita(n,o,p,q)(3,2,2,1)");
538 test_for_zero(levi_civita(n, o, p, q)(3, 2, 2, 2),
539 "levi_civita(n,o,p,q)(3,2,2,2)");
540 test_for_zero(levi_civita(n, o, p, q)(3, 2, 2, 3),
541 "levi_civita(n,o,p,q)(3,2,2,3)");
542 test_for_zero(levi_civita(n, o, p, q)(3, 2, 3, 0),
543 "levi_civita(n,o,p,q)(3,2,3,0)");
544 test_for_zero(levi_civita(n, o, p, q)(3, 2, 3, 1),
545 "levi_civita(n,o,p,q)(3,2,3,1)");
546 test_for_zero(levi_civita(n, o, p, q)(3, 2, 3, 2),
547 "levi_civita(n,o,p,q)(3,2,3,2)");
548 test_for_zero(levi_civita(n, o, p, q)(3, 2, 3, 3),
549 "levi_civita(n,o,p,q)(3,2,3,3)");
550 test_for_zero(levi_civita(n, o, p, q)(3, 3, 0, 0),
551 "levi_civita(n,o,p,q)(3,3,0,0)");
552 test_for_zero(levi_civita(n, o, p, q)(3, 3, 0, 1),
553 "levi_civita(n,o,p,q)(3,3,0,1)");
554 test_for_zero(levi_civita(n, o, p, q)(3, 3, 0, 2),
555 "levi_civita(n,o,p,q)(3,3,0,2)");
556 test_for_zero(levi_civita(n, o, p, q)(3, 3, 0, 3),
557 "levi_civita(n,o,p,q)(3,3,0,3)");
558 test_for_zero(levi_civita(n, o, p, q)(3, 3, 1, 0),
559 "levi_civita(n,o,p,q)(3,3,1,0)");
560 test_for_zero(levi_civita(n, o, p, q)(3, 3, 1, 1),
561 "levi_civita(n,o,p,q)(3,3,1,1)");
562 test_for_zero(levi_civita(n, o, p, q)(3, 3, 1, 2),
563 "levi_civita(n,o,p,q)(3,3,1,2)");
564 test_for_zero(levi_civita(n, o, p, q)(3, 3, 1, 3),
565 "levi_civita(n,o,p,q)(3,3,1,3)");
566 test_for_zero(levi_civita(n, o, p, q)(3, 3, 2, 0),
567 "levi_civita(n,o,p,q)(3,3,2,0)");
568 test_for_zero(levi_civita(n, o, p, q)(3, 3, 2, 1),
569 "levi_civita(n,o,p,q)(3,3,2,1)");
570 test_for_zero(levi_civita(n, o, p, q)(3, 3, 2, 2),
571 "levi_civita(n,o,p,q)(3,3,2,2)");
572 test_for_zero(levi_civita(n, o, p, q)(3, 3, 2, 3),
573 "levi_civita(n,o,p,q)(3,3,2,3)");
574 test_for_zero(levi_civita(n, o, p, q)(3, 3, 3, 0),
575 "levi_civita(n,o,p,q)(3,3,3,0)");
576 test_for_zero(levi_civita(n, o, p, q)(3, 3, 3, 1),
577 "levi_civita(n,o,p,q)(3,3,3,1)");
578 test_for_zero(levi_civita(n, o, p, q)(3, 3, 3, 2),
579 "levi_civita(n,o,p,q)(3,3,3,2)");
580 test_for_zero(levi_civita(n, o, p, q)(3, 3, 3, 3),
581 "levi_civita(n,o,p,q)(3,3,3,3)");
582}
i
FTensor::Index< 'i', SPACE_DIM > i
Definition hcurl_divergence_operator_2d.cpp:27
n
const double n
refractive index of diffusive medium
Definition initial_diffusion.cpp:38
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::levi_civita
constexpr std::enable_if<(Dim0<=2 &&Dim1<=2), Tensor2_Expr< Levi_Civita< T >, T, Dim0, Dim1, i, j > >::type levi_civita(const Index< i, Dim0 > &, const Index< j, Dim1 > &)
levi_civita functions to make for easy adhoc use
Definition Levi_Civita.hpp:617
m
FTensor::Index< 'm', 3 > m
Definition shallow_wave.cpp:80
test_for_zero
void test_for_zero(const T &t, const std::string &s)
Definition test_for_zero.hpp:7

◆ test_Levi_Civita_02()

void test_Levi_Civita_02 ( void )

Definition at line 7 of file test_Levi_Civita_02.cpp.

8{
9 Index<'i', 2> i;
10
11 Index<'k', 3> k;
12 Index<'l', 3> l;
13 Index<'m', 3> m;
14
15 Index<'n', 4> n;
16 Index<'o', 4> o;
17 Index<'p', 4> p;
18 Index<'q', 4> q;
19
20 Number<0> N0;
21 Number<1> N1;
22 Number<2> N2;
23
24 /* Test Levi_Civita Rank 2 */
25 test_for_zero(levi_civita(0, i)(0), "levi_civita(0,i)(0)");
26 test_for_zero(levi_civita(0, i)(1) - 1, "levi_civita(0,i)(1)");
27 test_for_zero(levi_civita(1, i)(0) + 1, "levi_civita(1,i)(0)");
28 test_for_zero(levi_civita(1, i)(1), "levi_civita(1,i)(1)");
29
30 test_for_zero(levi_civita(i, 0)(0), "levi_civita(i,0)(0)");
31 test_for_zero(levi_civita(i, 0)(1) + 1, "levi_civita(i,0)(1)");
32 test_for_zero(levi_civita(i, 1)(0) - 1, "levi_civita(i,1)(0)");
33 test_for_zero(levi_civita(i, 1)(1), "levi_civita(i,1)(1)");
34
35 /* Test Levi_Civita Rank 3 */
36 test_for_zero(levi_civita(0, l, m)(0, 0), "levi_civita(0,l,m)(0,0)");
37 test_for_zero(levi_civita(0, l, m)(0, 1), "levi_civita(0,l,m)(0,1)");
38 test_for_zero(levi_civita(0, l, m)(0, 2), "levi_civita(0,l,m)(0,2)");
39 test_for_zero(levi_civita(0, l, m)(1, 0), "levi_civita(0,l,m)(1,0)");
40 test_for_zero(levi_civita(0, l, m)(1, 1), "levi_civita(0,l,m)(1,1)");
41 test_for_zero(levi_civita(0, l, m)(1, 2) - 1, "levi_civita(0,l,m)(1,2)");
42 test_for_zero(levi_civita(0, l, m)(2, 0), "levi_civita(0,l,m)(2,0)");
43 test_for_zero(levi_civita(0, l, m)(2, 1) + 1, "levi_civita(0,l,m)(2,1)");
44 test_for_zero(levi_civita(0, l, m)(2, 2), "levi_civita(0,l,m)(2,2)");
45
46 test_for_zero(levi_civita(1, l, m)(0, 0), "levi_civita(1,l,m)(0,0)");
47 test_for_zero(levi_civita(1, l, m)(0, 1), "levi_civita(1,l,m)(0,1)");
48 test_for_zero(levi_civita(1, l, m)(0, 2) + 1, "levi_civita(1,l,m)(0,2)");
49 test_for_zero(levi_civita(1, l, m)(1, 0), "levi_civita(1,l,m)(1,0)");
50 test_for_zero(levi_civita(1, l, m)(1, 1), "levi_civita(1,l,m)(1,1)");
51 test_for_zero(levi_civita(1, l, m)(1, 2), "levi_civita(1,l,m)(1,2)");
52 test_for_zero(levi_civita(1, l, m)(2, 0) - 1, "levi_civita(1,l,m)(2,0)");
53 test_for_zero(levi_civita(1, l, m)(2, 1), "levi_civita(1,l,m)(2,1)");
54 test_for_zero(levi_civita(1, l, m)(2, 2), "levi_civita(1,l,m)(2,2)");
55
56 test_for_zero(levi_civita(2, l, m)(0, 0), "levi_civita(2,l,m)(0,0)");
57 test_for_zero(levi_civita(2, l, m)(0, 1) - 1, "levi_civita(2,l,m)(0,1)");
58 test_for_zero(levi_civita(2, l, m)(0, 2), "levi_civita(2,l,m)(0,2)");
59 test_for_zero(levi_civita(2, l, m)(1, 0) + 1, "levi_civita(2,l,m)(1,0)");
60 test_for_zero(levi_civita(2, l, m)(1, 1), "levi_civita(2,l,m)(1,1)");
61 test_for_zero(levi_civita(2, l, m)(1, 2), "levi_civita(2,l,m)(1,2)");
62 test_for_zero(levi_civita(2, l, m)(2, 0), "levi_civita(2,l,m)(2,0)");
63 test_for_zero(levi_civita(2, l, m)(2, 1), "levi_civita(2,l,m)(2,1)");
64 test_for_zero(levi_civita(2, l, m)(2, 2), "levi_civita(2,l,m)(2,2)");
65
66 test_for_zero(levi_civita(k, 0, m)(0, 0), "levi_civita(k,0,m)(0,0)");
67 test_for_zero(levi_civita(k, 0, m)(0, 1), "levi_civita(k,0,m)(0,1)");
68 test_for_zero(levi_civita(k, 0, m)(0, 2), "levi_civita(k,0,m)(0,2)");
69 test_for_zero(levi_civita(k, 0, m)(1, 0), "levi_civita(k,0,m)(1,0)");
70 test_for_zero(levi_civita(k, 0, m)(1, 1), "levi_civita(k,0,m)(1,1)");
71 test_for_zero(levi_civita(k, 0, m)(1, 2) + 1, "levi_civita(k,0,m)(1,2)");
72 test_for_zero(levi_civita(k, 0, m)(2, 0), "levi_civita(k,0,m)(2,0)");
73 test_for_zero(levi_civita(k, 0, m)(2, 1) - 1, "levi_civita(k,0,m)(2,1)");
74 test_for_zero(levi_civita(k, 0, m)(2, 2), "levi_civita(k,0,m)(2,2)");
75
76 test_for_zero(levi_civita(k, 1, m)(0, 0), "levi_civita(k,1,m)(0,0)");
77 test_for_zero(levi_civita(k, 1, m)(0, 1), "levi_civita(k,1,m)(0,1)");
78 test_for_zero(levi_civita(k, 1, m)(0, 2) - 1, "levi_civita(k,1,m)(0,2)");
79 test_for_zero(levi_civita(k, 1, m)(1, 0), "levi_civita(k,1,m)(1,0)");
80 test_for_zero(levi_civita(k, 1, m)(1, 1), "levi_civita(k,1,m)(1,1)");
81 test_for_zero(levi_civita(k, 1, m)(1, 2), "levi_civita(k,1,m)(1,2)");
82 test_for_zero(levi_civita(k, 1, m)(2, 0) + 1, "levi_civita(k,1,m)(2,0)");
83 test_for_zero(levi_civita(k, 1, m)(2, 1), "levi_civita(k,1,m)(2,1)");
84 test_for_zero(levi_civita(k, 1, m)(2, 2), "levi_civita(k,1,m)(2,2)");
85
86 test_for_zero(levi_civita(k, 2, m)(0, 0), "levi_civita(k,2,m)(0,0)");
87 test_for_zero(levi_civita(k, 2, m)(0, 1) + 1, "levi_civita(k,2,m)(0,1)");
88 test_for_zero(levi_civita(k, 2, m)(0, 2), "levi_civita(k,2,m)(0,2)");
89 test_for_zero(levi_civita(k, 2, m)(1, 0) - 1, "levi_civita(k,2,m)(1,0)");
90 test_for_zero(levi_civita(k, 2, m)(1, 1), "levi_civita(k,2,m)(1,1)");
91 test_for_zero(levi_civita(k, 2, m)(1, 2), "levi_civita(k,2,m)(1,2)");
92 test_for_zero(levi_civita(k, 2, m)(2, 0), "levi_civita(k,2,m)(2,0)");
93 test_for_zero(levi_civita(k, 2, m)(2, 1), "levi_civita(k,2,m)(2,1)");
94 test_for_zero(levi_civita(k, 2, m)(2, 2), "levi_civita(k,2,m)(2,2)");
95
96 test_for_zero(levi_civita(k, l, 0)(0, 0), "levi_civita(k,l,0)(0,0)");
97 test_for_zero(levi_civita(k, l, 0)(0, 1), "levi_civita(k,l,0)(0,1)");
98 test_for_zero(levi_civita(k, l, 0)(0, 2), "levi_civita(k,l,0)(0,2)");
99 test_for_zero(levi_civita(k, l, 0)(1, 0), "levi_civita(k,l,0)(1,0)");
100 test_for_zero(levi_civita(k, l, 0)(1, 1), "levi_civita(k,l,0)(1,1)");
101 test_for_zero(levi_civita(k, l, 0)(1, 2) - 1, "levi_civita(k,l,0)(1,2)");
102 test_for_zero(levi_civita(k, l, 0)(2, 0), "levi_civita(k,l,0)(2,0)");
103 test_for_zero(levi_civita(k, l, 0)(2, 1) + 1, "levi_civita(k,l,0)(2,1)");
104 test_for_zero(levi_civita(k, l, 0)(2, 2), "levi_civita(k,l,0)(2,2)");
105
106 test_for_zero(levi_civita(k, l, 1)(0, 0), "levi_civita(k,l,1)(0,0)");
107 test_for_zero(levi_civita(k, l, 1)(0, 1), "levi_civita(k,l,1)(0,1)");
108 test_for_zero(levi_civita(k, l, 1)(0, 2) + 1, "levi_civita(k,l,1)(0,2)");
109 test_for_zero(levi_civita(k, l, 1)(1, 0), "levi_civita(k,l,1)(1,0)");
110 test_for_zero(levi_civita(k, l, 1)(1, 1), "levi_civita(k,l,1)(1,1)");
111 test_for_zero(levi_civita(k, l, 1)(1, 2), "levi_civita(k,l,1)(1,2)");
112 test_for_zero(levi_civita(k, l, 1)(2, 0) - 1, "levi_civita(k,l,1)(2,0)");
113 test_for_zero(levi_civita(k, l, 1)(2, 1), "levi_civita(k,l,1)(2,1)");
114 test_for_zero(levi_civita(k, l, 1)(2, 2), "levi_civita(k,l,1)(2,2)");
115
116 test_for_zero(levi_civita(k, l, 2)(0, 0), "levi_civita(k,l,2)(0,0)");
117 test_for_zero(levi_civita(k, l, 2)(0, 1) - 1, "levi_civita(k,l,2)(0,1)");
118 test_for_zero(levi_civita(k, l, 2)(0, 2), "levi_civita(k,l,2)(0,2)");
119 test_for_zero(levi_civita(k, l, 2)(1, 0) + 1, "levi_civita(k,l,2)(1,0)");
120 test_for_zero(levi_civita(k, l, 2)(1, 1), "levi_civita(k,l,2)(1,1)");
121 test_for_zero(levi_civita(k, l, 2)(1, 2), "levi_civita(k,l,2)(1,2)");
122 test_for_zero(levi_civita(k, l, 2)(2, 0), "levi_civita(k,l,2)(2,0)");
123 test_for_zero(levi_civita(k, l, 2)(2, 1), "levi_civita(k,l,2)(2,1)");
124 test_for_zero(levi_civita(k, l, 2)(2, 2), "levi_civita(k,l,2)(2,2)");
125
126 /* Test Levi_Civita Rank 4 */
127 test_for_zero(levi_civita(0, o, p, q)(0, 0, 0),
128 "levi_civita(0,o,p,q)(0,0,0)");
129 test_for_zero(levi_civita(0, o, p, q)(0, 0, 1),
130 "levi_civita(0,o,p,q)(0,0,1)");
131 test_for_zero(levi_civita(0, o, p, q)(0, 0, 2),
132 "levi_civita(0,o,p,q)(0,0,2)");
133 test_for_zero(levi_civita(0, o, p, q)(0, 0, 3),
134 "levi_civita(0,o,p,q)(0,0,3)");
135 test_for_zero(levi_civita(0, o, p, q)(0, 1, 0),
136 "levi_civita(0,o,p,q)(0,1,0)");
137 test_for_zero(levi_civita(0, o, p, q)(0, 1, 1),
138 "levi_civita(0,o,p,q)(0,1,1)");
139 test_for_zero(levi_civita(0, o, p, q)(0, 1, 2),
140 "levi_civita(0,o,p,q)(0,1,2)");
141 test_for_zero(levi_civita(0, o, p, q)(0, 1, 3),
142 "levi_civita(0,o,p,q)(0,1,3)");
143 test_for_zero(levi_civita(0, o, p, q)(0, 2, 0),
144 "levi_civita(0,o,p,q)(0,2,0)");
145 test_for_zero(levi_civita(0, o, p, q)(0, 2, 1),
146 "levi_civita(0,o,p,q)(0,2,1)");
147 test_for_zero(levi_civita(0, o, p, q)(0, 2, 2),
148 "levi_civita(0,o,p,q)(0,2,2)");
149 test_for_zero(levi_civita(0, o, p, q)(0, 2, 3),
150 "levi_civita(0,o,p,q)(0,2,3)");
151 test_for_zero(levi_civita(0, o, p, q)(0, 3, 0),
152 "levi_civita(0,o,p,q)(0,3,0)");
153 test_for_zero(levi_civita(0, o, p, q)(0, 3, 1),
154 "levi_civita(0,o,p,q)(0,3,1)");
155 test_for_zero(levi_civita(0, o, p, q)(0, 3, 2),
156 "levi_civita(0,o,p,q)(0,3,2)");
157 test_for_zero(levi_civita(0, o, p, q)(0, 3, 3),
158 "levi_civita(0,o,p,q)(0,3,3)");
159 test_for_zero(levi_civita(0, o, p, q)(1, 0, 0),
160 "levi_civita(0,o,p,q)(1,0,0)");
161 test_for_zero(levi_civita(0, o, p, q)(1, 0, 1),
162 "levi_civita(0,o,p,q)(1,0,1)");
163 test_for_zero(levi_civita(0, o, p, q)(1, 0, 2),
164 "levi_civita(0,o,p,q)(1,0,2)");
165 test_for_zero(levi_civita(0, o, p, q)(1, 0, 3),
166 "levi_civita(0,o,p,q)(1,0,3)");
167 test_for_zero(levi_civita(0, o, p, q)(1, 1, 0),
168 "levi_civita(0,o,p,q)(1,1,0)");
169 test_for_zero(levi_civita(0, o, p, q)(1, 1, 1),
170 "levi_civita(0,o,p,q)(1,1,1)");
171 test_for_zero(levi_civita(0, o, p, q)(1, 1, 2),
172 "levi_civita(0,o,p,q)(1,1,2)");
173 test_for_zero(levi_civita(0, o, p, q)(1, 1, 3),
174 "levi_civita(0,o,p,q)(1,1,3)");
175 test_for_zero(levi_civita(0, o, p, q)(1, 2, 0),
176 "levi_civita(0,o,p,q)(1,2,0)");
177 test_for_zero(levi_civita(0, o, p, q)(1, 2, 1),
178 "levi_civita(0,o,p,q)(1,2,1)");
179 test_for_zero(levi_civita(0, o, p, q)(1, 2, 2),
180 "levi_civita(0,o,p,q)(1,2,2)");
181 test_for_zero(levi_civita(0, o, p, q)(1, 2, 3) - 1,
182 "levi_civita(0,o,p,q)(1,2,3)");
183 test_for_zero(levi_civita(0, o, p, q)(1, 3, 0),
184 "levi_civita(0,o,p,q)(1,3,0)");
185 test_for_zero(levi_civita(0, o, p, q)(1, 3, 1),
186 "levi_civita(0,o,p,q)(1,3,1)");
187 test_for_zero(levi_civita(0, o, p, q)(1, 3, 2) + 1,
188 "levi_civita(0,o,p,q)(1,3,2)");
189 test_for_zero(levi_civita(0, o, p, q)(1, 3, 3),
190 "levi_civita(0,o,p,q)(1,3,3)");
191 test_for_zero(levi_civita(0, o, p, q)(2, 0, 0),
192 "levi_civita(0,o,p,q)(2,0,0)");
193 test_for_zero(levi_civita(0, o, p, q)(2, 0, 1),
194 "levi_civita(0,o,p,q)(2,0,1)");
195 test_for_zero(levi_civita(0, o, p, q)(2, 0, 2),
196 "levi_civita(0,o,p,q)(2,0,2)");
197 test_for_zero(levi_civita(0, o, p, q)(2, 0, 3),
198 "levi_civita(0,o,p,q)(2,0,3)");
199 test_for_zero(levi_civita(0, o, p, q)(2, 1, 0),
200 "levi_civita(0,o,p,q)(2,1,0)");
201 test_for_zero(levi_civita(0, o, p, q)(2, 1, 1),
202 "levi_civita(0,o,p,q)(2,1,1)");
203 test_for_zero(levi_civita(0, o, p, q)(2, 1, 2),
204 "levi_civita(0,o,p,q)(2,1,2)");
205 test_for_zero(levi_civita(0, o, p, q)(2, 1, 3) + 1,
206 "levi_civita(0,o,p,q)(2,1,3)");
207 test_for_zero(levi_civita(0, o, p, q)(2, 2, 0),
208 "levi_civita(0,o,p,q)(2,2,0)");
209 test_for_zero(levi_civita(0, o, p, q)(2, 2, 1),
210 "levi_civita(0,o,p,q)(2,2,1)");
211 test_for_zero(levi_civita(0, o, p, q)(2, 2, 2),
212 "levi_civita(0,o,p,q)(2,2,2)");
213 test_for_zero(levi_civita(0, o, p, q)(2, 2, 3),
214 "levi_civita(0,o,p,q)(2,2,3)");
215 test_for_zero(levi_civita(0, o, p, q)(2, 3, 0),
216 "levi_civita(0,o,p,q)(2,3,0)");
217 test_for_zero(levi_civita(0, o, p, q)(2, 3, 1) - 1,
218 "levi_civita(0,o,p,q)(2,3,1)");
219 test_for_zero(levi_civita(0, o, p, q)(2, 3, 2),
220 "levi_civita(0,o,p,q)(2,3,2)");
221 test_for_zero(levi_civita(0, o, p, q)(2, 3, 3),
222 "levi_civita(0,o,p,q)(2,3,3)");
223 test_for_zero(levi_civita(0, o, p, q)(3, 0, 0),
224 "levi_civita(0,o,p,q)(3,0,0)");
225 test_for_zero(levi_civita(0, o, p, q)(3, 0, 1),
226 "levi_civita(0,o,p,q)(3,0,1)");
227 test_for_zero(levi_civita(0, o, p, q)(3, 0, 2),
228 "levi_civita(0,o,p,q)(3,0,2)");
229 test_for_zero(levi_civita(0, o, p, q)(3, 0, 3),
230 "levi_civita(0,o,p,q)(3,0,3)");
231 test_for_zero(levi_civita(0, o, p, q)(3, 1, 0),
232 "levi_civita(0,o,p,q)(3,1,0)");
233 test_for_zero(levi_civita(0, o, p, q)(3, 1, 1),
234 "levi_civita(0,o,p,q)(3,1,1)");
235 test_for_zero(levi_civita(0, o, p, q)(3, 1, 2) - 1,
236 "levi_civita(0,o,p,q)(3,1,2)");
237 test_for_zero(levi_civita(0, o, p, q)(3, 1, 3),
238 "levi_civita(0,o,p,q)(3,1,3)");
239 test_for_zero(levi_civita(0, o, p, q)(3, 2, 0),
240 "levi_civita(0,o,p,q)(3,2,0)");
241 test_for_zero(levi_civita(0, o, p, q)(3, 2, 1) + 1,
242 "levi_civita(0,o,p,q)(3,2,1)");
243 test_for_zero(levi_civita(0, o, p, q)(3, 2, 2),
244 "levi_civita(0,o,p,q)(3,2,2)");
245 test_for_zero(levi_civita(0, o, p, q)(3, 2, 3),
246 "levi_civita(0,o,p,q)(3,2,3)");
247 test_for_zero(levi_civita(0, o, p, q)(3, 3, 0),
248 "levi_civita(0,o,p,q)(3,3,0)");
249 test_for_zero(levi_civita(0, o, p, q)(3, 3, 1),
250 "levi_civita(0,o,p,q)(3,3,1)");
251 test_for_zero(levi_civita(0, o, p, q)(3, 3, 2),
252 "levi_civita(0,o,p,q)(3,3,2)");
253 test_for_zero(levi_civita(0, o, p, q)(3, 3, 3),
254 "levi_civita(0,o,p,q)(3,3,3)");
255
256 test_for_zero(levi_civita(1, o, p, q)(0, 0, 0),
257 "levi_civita(1,o,p,q)(0,0,0)");
258 test_for_zero(levi_civita(1, o, p, q)(0, 0, 1),
259 "levi_civita(1,o,p,q)(0,0,1)");
260 test_for_zero(levi_civita(1, o, p, q)(0, 0, 2),
261 "levi_civita(1,o,p,q)(0,0,2)");
262 test_for_zero(levi_civita(1, o, p, q)(0, 0, 3),
263 "levi_civita(1,o,p,q)(0,0,3)");
264 test_for_zero(levi_civita(1, o, p, q)(0, 1, 0),
265 "levi_civita(1,o,p,q)(0,1,0)");
266 test_for_zero(levi_civita(1, o, p, q)(0, 1, 1),
267 "levi_civita(1,o,p,q)(0,1,1)");
268 test_for_zero(levi_civita(1, o, p, q)(0, 1, 2),
269 "levi_civita(1,o,p,q)(0,1,2)");
270 test_for_zero(levi_civita(1, o, p, q)(0, 1, 3),
271 "levi_civita(1,o,p,q)(0,1,3)");
272 test_for_zero(levi_civita(1, o, p, q)(0, 2, 0),
273 "levi_civita(1,o,p,q)(0,2,0)");
274 test_for_zero(levi_civita(1, o, p, q)(0, 2, 1),
275 "levi_civita(1,o,p,q)(0,2,1)");
276 test_for_zero(levi_civita(1, o, p, q)(0, 2, 2),
277 "levi_civita(1,o,p,q)(0,2,2)");
278 test_for_zero(levi_civita(1, o, p, q)(0, 2, 3) + 1,
279 "levi_civita(1,o,p,q)(0,2,3)");
280 test_for_zero(levi_civita(1, o, p, q)(1, 0, 0),
281 "levi_civita(1,o,p,q)(1,0,0)");
282 test_for_zero(levi_civita(1, o, p, q)(1, 0, 1),
283 "levi_civita(1,o,p,q)(1,0,1)");
284 test_for_zero(levi_civita(1, o, p, q)(1, 0, 2),
285 "levi_civita(1,o,p,q)(1,0,2)");
286 test_for_zero(levi_civita(1, o, p, q)(1, 0, 3),
287 "levi_civita(1,o,p,q)(1,0,3)");
288 test_for_zero(levi_civita(1, o, p, q)(1, 1, 0),
289 "levi_civita(1,o,p,q)(1,1,0)");
290 test_for_zero(levi_civita(1, o, p, q)(1, 1, 1),
291 "levi_civita(1,o,p,q)(1,1,1)");
292 test_for_zero(levi_civita(1, o, p, q)(1, 1, 2),
293 "levi_civita(1,o,p,q)(1,1,2)");
294 test_for_zero(levi_civita(1, o, p, q)(1, 1, 3),
295 "levi_civita(1,o,p,q)(1,1,3)");
296 test_for_zero(levi_civita(1, o, p, q)(1, 2, 0),
297 "levi_civita(1,o,p,q)(1,2,0)");
298 test_for_zero(levi_civita(1, o, p, q)(1, 2, 1),
299 "levi_civita(1,o,p,q)(1,2,1)");
300 test_for_zero(levi_civita(1, o, p, q)(1, 2, 2),
301 "levi_civita(1,o,p,q)(1,2,2)");
302 test_for_zero(levi_civita(1, o, p, q)(1, 2, 3),
303 "levi_civita(1,o,p,q)(1,2,3)");
304 test_for_zero(levi_civita(1, o, p, q)(1, 3, 0),
305 "levi_civita(1,o,p,q)(1,3,0)");
306 test_for_zero(levi_civita(1, o, p, q)(1, 3, 1),
307 "levi_civita(1,o,p,q)(1,3,1)");
308 test_for_zero(levi_civita(1, o, p, q)(1, 3, 2),
309 "levi_civita(1,o,p,q)(1,3,2)");
310 test_for_zero(levi_civita(1, o, p, q)(1, 3, 3),
311 "levi_civita(1,o,p,q)(1,3,3)");
312 test_for_zero(levi_civita(1, o, p, q)(2, 0, 0),
313 "levi_civita(1,o,p,q)(2,0,0)");
314 test_for_zero(levi_civita(1, o, p, q)(2, 0, 1),
315 "levi_civita(1,o,p,q)(2,0,1)");
316 test_for_zero(levi_civita(1, o, p, q)(2, 0, 2),
317 "levi_civita(1,o,p,q)(2,0,2)");
318 test_for_zero(levi_civita(1, o, p, q)(2, 0, 3) - 1,
319 "levi_civita(1,o,p,q)(2,0,3)");
320 test_for_zero(levi_civita(1, o, p, q)(2, 1, 0),
321 "levi_civita(1,o,p,q)(2,1,0)");
322 test_for_zero(levi_civita(1, o, p, q)(2, 1, 1),
323 "levi_civita(1,o,p,q)(2,1,1)");
324 test_for_zero(levi_civita(1, o, p, q)(2, 1, 2),
325 "levi_civita(1,o,p,q)(2,1,2)");
326 test_for_zero(levi_civita(1, o, p, q)(2, 1, 3),
327 "levi_civita(1,o,p,q)(2,1,3)");
328 test_for_zero(levi_civita(1, o, p, q)(2, 2, 0),
329 "levi_civita(1,o,p,q)(2,2,0)");
330 test_for_zero(levi_civita(1, o, p, q)(2, 2, 1),
331 "levi_civita(1,o,p,q)(2,2,1)");
332 test_for_zero(levi_civita(1, o, p, q)(2, 2, 2),
333 "levi_civita(1,o,p,q)(2,2,2)");
334 test_for_zero(levi_civita(1, o, p, q)(2, 2, 3),
335 "levi_civita(1,o,p,q)(2,2,3)");
336 test_for_zero(levi_civita(1, o, p, q)(2, 3, 0) + 1,
337 "levi_civita(1,o,p,q)(2,3,0)");
338 test_for_zero(levi_civita(1, o, p, q)(2, 3, 1),
339 "levi_civita(1,o,p,q)(2,3,1)");
340 test_for_zero(levi_civita(1, o, p, q)(2, 3, 2),
341 "levi_civita(1,o,p,q)(2,3,2)");
342 test_for_zero(levi_civita(1, o, p, q)(2, 3, 3),
343 "levi_civita(1,o,p,q)(2,3,3)");
344 test_for_zero(levi_civita(1, o, p, q)(3, 0, 0),
345 "levi_civita(1,o,p,q)(3,0,0)");
346 test_for_zero(levi_civita(1, o, p, q)(3, 0, 1),
347 "levi_civita(1,o,p,q)(3,0,1)");
348 test_for_zero(levi_civita(1, o, p, q)(3, 0, 2) + 1,
349 "levi_civita(1,o,p,q)(3,0,2)");
350 test_for_zero(levi_civita(1, o, p, q)(3, 0, 3),
351 "levi_civita(1,o,p,q)(3,0,3)");
352 test_for_zero(levi_civita(1, o, p, q)(3, 1, 0),
353 "levi_civita(1,o,p,q)(3,1,0)");
354 test_for_zero(levi_civita(1, o, p, q)(3, 1, 1),
355 "levi_civita(1,o,p,q)(3,1,1)");
356 test_for_zero(levi_civita(1, o, p, q)(3, 1, 2),
357 "levi_civita(1,o,p,q)(3,1,2)");
358 test_for_zero(levi_civita(1, o, p, q)(3, 1, 3),
359 "levi_civita(1,o,p,q)(3,1,3)");
360 test_for_zero(levi_civita(1, o, p, q)(3, 2, 0) - 1,
361 "levi_civita(1,o,p,q)(3,2,0)");
362 test_for_zero(levi_civita(1, o, p, q)(3, 2, 1),
363 "levi_civita(1,o,p,q)(3,2,1)");
364 test_for_zero(levi_civita(1, o, p, q)(3, 2, 2),
365 "levi_civita(1,o,p,q)(3,2,2)");
366 test_for_zero(levi_civita(1, o, p, q)(3, 2, 3),
367 "levi_civita(1,o,p,q)(3,2,3)");
368 test_for_zero(levi_civita(1, o, p, q)(3, 3, 0),
369 "levi_civita(1,o,p,q)(3,3,0)");
370 test_for_zero(levi_civita(1, o, p, q)(3, 3, 1),
371 "levi_civita(1,o,p,q)(3,3,1)");
372 test_for_zero(levi_civita(1, o, p, q)(3, 3, 2),
373 "levi_civita(1,o,p,q)(3,3,2)");
374 test_for_zero(levi_civita(1, o, p, q)(3, 3, 3),
375 "levi_civita(1,o,p,q)(3,3,3)");
376
377 test_for_zero(levi_civita(2, o, p, q)(0, 0, 0),
378 "levi_civita(2,o,p,q)(0,0,0)");
379 test_for_zero(levi_civita(2, o, p, q)(0, 0, 1),
380 "levi_civita(2,o,p,q)(0,0,1)");
381 test_for_zero(levi_civita(2, o, p, q)(0, 0, 2),
382 "levi_civita(2,o,p,q)(0,0,2)");
383 test_for_zero(levi_civita(2, o, p, q)(0, 0, 3),
384 "levi_civita(2,o,p,q)(0,0,3)");
385 test_for_zero(levi_civita(2, o, p, q)(0, 1, 0),
386 "levi_civita(2,o,p,q)(0,1,0)");
387 test_for_zero(levi_civita(2, o, p, q)(0, 1, 1),
388 "levi_civita(2,o,p,q)(0,1,1)");
389 test_for_zero(levi_civita(2, o, p, q)(0, 1, 2),
390 "levi_civita(2,o,p,q)(0,1,2)");
391 test_for_zero(levi_civita(2, o, p, q)(0, 1, 3) - 1,
392 "levi_civita(2,o,p,q)(0,1,3)");
393 test_for_zero(levi_civita(2, o, p, q)(0, 2, 0),
394 "levi_civita(2,o,p,q)(0,2,0)");
395 test_for_zero(levi_civita(2, o, p, q)(0, 2, 1),
396 "levi_civita(2,o,p,q)(0,2,1)");
397 test_for_zero(levi_civita(2, o, p, q)(0, 2, 2),
398 "levi_civita(2,o,p,q)(0,2,2)");
399 test_for_zero(levi_civita(2, o, p, q)(0, 2, 3),
400 "levi_civita(2,o,p,q)(0,2,3)");
401 test_for_zero(levi_civita(2, o, p, q)(0, 3, 0),
402 "levi_civita(2,o,p,q)(0,3,0)");
403 test_for_zero(levi_civita(2, o, p, q)(0, 3, 1) + 1,
404 "levi_civita(2,o,p,q)(0,3,1)");
405 test_for_zero(levi_civita(2, o, p, q)(0, 3, 2),
406 "levi_civita(2,o,p,q)(0,3,2)");
407 test_for_zero(levi_civita(2, o, p, q)(0, 3, 3),
408 "levi_civita(2,o,p,q)(0,3,3)");
409 test_for_zero(levi_civita(2, o, p, q)(1, 0, 0),
410 "levi_civita(2,o,p,q)(1,0,0)");
411 test_for_zero(levi_civita(2, o, p, q)(1, 0, 1),
412 "levi_civita(2,o,p,q)(1,0,1)");
413 test_for_zero(levi_civita(2, o, p, q)(1, 0, 2),
414 "levi_civita(2,o,p,q)(1,0,2)");
415 test_for_zero(levi_civita(2, o, p, q)(1, 0, 3) + 1,
416 "levi_civita(2,o,p,q)(1,0,3)");
417 test_for_zero(levi_civita(2, o, p, q)(1, 1, 0),
418 "levi_civita(2,o,p,q)(1,1,0)");
419 test_for_zero(levi_civita(2, o, p, q)(1, 1, 1),
420 "levi_civita(2,o,p,q)(1,1,1)");
421 test_for_zero(levi_civita(2, o, p, q)(1, 1, 2),
422 "levi_civita(2,o,p,q)(1,1,2)");
423 test_for_zero(levi_civita(2, o, p, q)(1, 1, 3),
424 "levi_civita(2,o,p,q)(1,1,3)");
425 test_for_zero(levi_civita(2, o, p, q)(1, 2, 0),
426 "levi_civita(2,o,p,q)(1,2,0)");
427 test_for_zero(levi_civita(2, o, p, q)(1, 2, 1),
428 "levi_civita(2,o,p,q)(1,2,1)");
429 test_for_zero(levi_civita(2, o, p, q)(1, 2, 2),
430 "levi_civita(2,o,p,q)(1,2,2)");
431 test_for_zero(levi_civita(2, o, p, q)(1, 2, 3),
432 "levi_civita(2,o,p,q)(1,2,3)");
433 test_for_zero(levi_civita(2, o, p, q)(1, 3, 0) - 1,
434 "levi_civita(2,o,p,q)(1,3,0)");
435 test_for_zero(levi_civita(2, o, p, q)(1, 3, 1),
436 "levi_civita(2,o,p,q)(1,3,1)");
437 test_for_zero(levi_civita(2, o, p, q)(1, 3, 2),
438 "levi_civita(2,o,p,q)(1,3,2)");
439 test_for_zero(levi_civita(2, o, p, q)(1, 3, 3),
440 "levi_civita(2,o,p,q)(1,3,3)");
441 test_for_zero(levi_civita(2, o, p, q)(2, 0, 0),
442 "levi_civita(2,o,p,q)(2,0,0)");
443 test_for_zero(levi_civita(2, o, p, q)(2, 0, 1),
444 "levi_civita(2,o,p,q)(2,0,1)");
445 test_for_zero(levi_civita(2, o, p, q)(2, 0, 2),
446 "levi_civita(2,o,p,q)(2,0,2)");
447 test_for_zero(levi_civita(2, o, p, q)(2, 0, 3),
448 "levi_civita(2,o,p,q)(2,0,3)");
449 test_for_zero(levi_civita(2, o, p, q)(2, 1, 0),
450 "levi_civita(2,o,p,q)(2,1,0)");
451 test_for_zero(levi_civita(2, o, p, q)(2, 1, 1),
452 "levi_civita(2,o,p,q)(2,1,1)");
453 test_for_zero(levi_civita(2, o, p, q)(2, 1, 2),
454 "levi_civita(2,o,p,q)(2,1,2)");
455 test_for_zero(levi_civita(2, o, p, q)(2, 1, 3),
456 "levi_civita(2,o,p,q)(2,1,3)");
457 test_for_zero(levi_civita(2, o, p, q)(2, 2, 0),
458 "levi_civita(2,o,p,q)(2,2,0)");
459 test_for_zero(levi_civita(2, o, p, q)(2, 2, 1),
460 "levi_civita(2,o,p,q)(2,2,1)");
461 test_for_zero(levi_civita(2, o, p, q)(2, 2, 2),
462 "levi_civita(2,o,p,q)(2,2,2)");
463 test_for_zero(levi_civita(2, o, p, q)(2, 2, 3),
464 "levi_civita(2,o,p,q)(2,2,3)");
465 test_for_zero(levi_civita(2, o, p, q)(2, 3, 0),
466 "levi_civita(2,o,p,q)(2,3,0)");
467 test_for_zero(levi_civita(2, o, p, q)(2, 3, 1),
468 "levi_civita(2,o,p,q)(2,3,1)");
469 test_for_zero(levi_civita(2, o, p, q)(2, 3, 2),
470 "levi_civita(2,o,p,q)(2,3,2)");
471 test_for_zero(levi_civita(2, o, p, q)(2, 3, 3),
472 "levi_civita(2,o,p,q)(2,3,3)");
473 test_for_zero(levi_civita(2, o, p, q)(3, 0, 0),
474 "levi_civita(2,o,p,q)(3,0,0)");
475 test_for_zero(levi_civita(2, o, p, q)(3, 0, 1) - 1,
476 "levi_civita(2,o,p,q)(3,0,1)");
477 test_for_zero(levi_civita(2, o, p, q)(3, 0, 2),
478 "levi_civita(2,o,p,q)(3,0,2)");
479 test_for_zero(levi_civita(2, o, p, q)(3, 0, 3),
480 "levi_civita(2,o,p,q)(3,0,3)");
481 test_for_zero(levi_civita(2, o, p, q)(3, 1, 0) + 1,
482 "levi_civita(2,o,p,q)(3,1,0)");
483 test_for_zero(levi_civita(2, o, p, q)(3, 1, 1),
484 "levi_civita(2,o,p,q)(3,1,1)");
485 test_for_zero(levi_civita(2, o, p, q)(3, 1, 2),
486 "levi_civita(2,o,p,q)(3,1,2)");
487 test_for_zero(levi_civita(2, o, p, q)(3, 1, 3),
488 "levi_civita(2,o,p,q)(3,1,3)");
489 test_for_zero(levi_civita(2, o, p, q)(3, 2, 0),
490 "levi_civita(2,o,p,q)(3,2,0)");
491 test_for_zero(levi_civita(2, o, p, q)(3, 2, 1),
492 "levi_civita(2,o,p,q)(3,2,1)");
493 test_for_zero(levi_civita(2, o, p, q)(3, 2, 2),
494 "levi_civita(2,o,p,q)(3,2,2)");
495 test_for_zero(levi_civita(2, o, p, q)(3, 2, 3),
496 "levi_civita(2,o,p,q)(3,2,3)");
497 test_for_zero(levi_civita(2, o, p, q)(3, 3, 0),
498 "levi_civita(2,o,p,q)(3,3,0)");
499 test_for_zero(levi_civita(2, o, p, q)(3, 3, 1),
500 "levi_civita(2,o,p,q)(3,3,1)");
501 test_for_zero(levi_civita(2, o, p, q)(3, 3, 2),
502 "levi_civita(2,o,p,q)(3,3,2)");
503 test_for_zero(levi_civita(2, o, p, q)(3, 3, 3),
504 "levi_civita(2,o,p,q)(3,3,3)");
505
506 test_for_zero(levi_civita(3, o, p, q)(0, 0, 0),
507 "levi_civita(3,o,p,q)(0,0,0)");
508 test_for_zero(levi_civita(3, o, p, q)(0, 0, 1),
509 "levi_civita(3,o,p,q)(0,0,1)");
510 test_for_zero(levi_civita(3, o, p, q)(0, 0, 2),
511 "levi_civita(3,o,p,q)(0,0,2)");
512 test_for_zero(levi_civita(3, o, p, q)(0, 0, 3),
513 "levi_civita(3,o,p,q)(0,0,3)");
514 test_for_zero(levi_civita(3, o, p, q)(0, 1, 0),
515 "levi_civita(3,o,p,q)(0,1,0)");
516 test_for_zero(levi_civita(3, o, p, q)(0, 1, 1),
517 "levi_civita(3,o,p,q)(0,1,1)");
518 test_for_zero(levi_civita(3, o, p, q)(0, 1, 2) + 1,
519 "levi_civita(3,o,p,q)(0,1,2)");
520 test_for_zero(levi_civita(3, o, p, q)(0, 1, 3),
521 "levi_civita(3,o,p,q)(0,1,3)");
522 test_for_zero(levi_civita(3, o, p, q)(0, 2, 0),
523 "levi_civita(3,o,p,q)(0,2,0)");
524 test_for_zero(levi_civita(3, o, p, q)(0, 2, 1) - 1,
525 "levi_civita(3,o,p,q)(0,2,1)");
526 test_for_zero(levi_civita(3, o, p, q)(0, 2, 2),
527 "levi_civita(3,o,p,q)(0,2,2)");
528 test_for_zero(levi_civita(3, o, p, q)(0, 2, 3),
529 "levi_civita(3,o,p,q)(0,2,3)");
530 test_for_zero(levi_civita(3, o, p, q)(0, 3, 0),
531 "levi_civita(3,o,p,q)(0,3,0)");
532 test_for_zero(levi_civita(3, o, p, q)(0, 3, 1),
533 "levi_civita(3,o,p,q)(0,3,1)");
534 test_for_zero(levi_civita(3, o, p, q)(0, 3, 2),
535 "levi_civita(3,o,p,q)(0,3,2)");
536 test_for_zero(levi_civita(3, o, p, q)(0, 3, 3),
537 "levi_civita(3,o,p,q)(0,3,3)");
538 test_for_zero(levi_civita(3, o, p, q)(1, 0, 0),
539 "levi_civita(3,o,p,q)(1,0,0)");
540 test_for_zero(levi_civita(3, o, p, q)(1, 0, 1),
541 "levi_civita(3,o,p,q)(1,0,1)");
542 test_for_zero(levi_civita(3, o, p, q)(1, 0, 2) - 1,
543 "levi_civita(3,o,p,q)(1,0,2)");
544 test_for_zero(levi_civita(3, o, p, q)(1, 0, 3),
545 "levi_civita(3,o,p,q)(1,0,3)");
546 test_for_zero(levi_civita(3, o, p, q)(1, 1, 0),
547 "levi_civita(3,o,p,q)(1,1,0)");
548 test_for_zero(levi_civita(3, o, p, q)(1, 1, 1),
549 "levi_civita(3,o,p,q)(1,1,1)");
550 test_for_zero(levi_civita(3, o, p, q)(1, 1, 2),
551 "levi_civita(3,o,p,q)(1,1,2)");
552 test_for_zero(levi_civita(3, o, p, q)(1, 1, 3),
553 "levi_civita(3,o,p,q)(1,1,3)");
554 test_for_zero(levi_civita(3, o, p, q)(1, 2, 0) + 1,
555 "levi_civita(3,o,p,q)(1,2,0)");
556 test_for_zero(levi_civita(3, o, p, q)(1, 2, 1),
557 "levi_civita(3,o,p,q)(1,2,1)");
558 test_for_zero(levi_civita(3, o, p, q)(1, 2, 2),
559 "levi_civita(3,o,p,q)(1,2,2)");
560 test_for_zero(levi_civita(3, o, p, q)(1, 2, 3),
561 "levi_civita(3,o,p,q)(1,2,3)");
562 test_for_zero(levi_civita(3, o, p, q)(1, 3, 0),
563 "levi_civita(3,o,p,q)(1,3,0)");
564 test_for_zero(levi_civita(3, o, p, q)(1, 3, 1),
565 "levi_civita(3,o,p,q)(1,3,1)");
566 test_for_zero(levi_civita(3, o, p, q)(1, 3, 2),
567 "levi_civita(3,o,p,q)(1,3,2)");
568 test_for_zero(levi_civita(3, o, p, q)(1, 3, 3),
569 "levi_civita(3,o,p,q)(1,3,3)");
570 test_for_zero(levi_civita(3, o, p, q)(2, 0, 0),
571 "levi_civita(3,o,p,q)(2,0,0)");
572 test_for_zero(levi_civita(3, o, p, q)(2, 0, 1) + 1,
573 "levi_civita(3,o,p,q)(2,0,1)");
574 test_for_zero(levi_civita(3, o, p, q)(2, 0, 2),
575 "levi_civita(3,o,p,q)(2,0,2)");
576 test_for_zero(levi_civita(3, o, p, q)(2, 0, 3),
577 "levi_civita(3,o,p,q)(2,0,3)");
578 test_for_zero(levi_civita(3, o, p, q)(2, 1, 0) - 1,
579 "levi_civita(3,o,p,q)(2,1,0)");
580 test_for_zero(levi_civita(3, o, p, q)(2, 1, 1),
581 "levi_civita(3,o,p,q)(2,1,1)");
582 test_for_zero(levi_civita(3, o, p, q)(2, 1, 2),
583 "levi_civita(3,o,p,q)(2,1,2)");
584 test_for_zero(levi_civita(3, o, p, q)(2, 1, 3),
585 "levi_civita(3,o,p,q)(2,1,3)");
586 test_for_zero(levi_civita(3, o, p, q)(2, 2, 0),
587 "levi_civita(3,o,p,q)(2,2,0)");
588 test_for_zero(levi_civita(3, o, p, q)(2, 2, 1),
589 "levi_civita(3,o,p,q)(2,2,1)");
590 test_for_zero(levi_civita(3, o, p, q)(2, 2, 2),
591 "levi_civita(3,o,p,q)(2,2,2)");
592 test_for_zero(levi_civita(3, o, p, q)(2, 2, 3),
593 "levi_civita(3,o,p,q)(2,2,3)");
594 test_for_zero(levi_civita(3, o, p, q)(2, 3, 0),
595 "levi_civita(3,o,p,q)(2,3,0)");
596 test_for_zero(levi_civita(3, o, p, q)(2, 3, 1),
597 "levi_civita(3,o,p,q)(2,3,1)");
598 test_for_zero(levi_civita(3, o, p, q)(2, 3, 2),
599 "levi_civita(3,o,p,q)(2,3,2)");
600 test_for_zero(levi_civita(3, o, p, q)(2, 3, 3),
601 "levi_civita(3,o,p,q)(2,3,3)");
602 test_for_zero(levi_civita(3, o, p, q)(3, 0, 0),
603 "levi_civita(3,o,p,q)(3,0,0)");
604 test_for_zero(levi_civita(3, o, p, q)(3, 0, 1),
605 "levi_civita(3,o,p,q)(3,0,1)");
606 test_for_zero(levi_civita(3, o, p, q)(3, 0, 2),
607 "levi_civita(3,o,p,q)(3,0,2)");
608 test_for_zero(levi_civita(3, o, p, q)(3, 0, 3),
609 "levi_civita(3,o,p,q)(3,0,3)");
610 test_for_zero(levi_civita(3, o, p, q)(3, 1, 0),
611 "levi_civita(3,o,p,q)(3,1,0)");
612 test_for_zero(levi_civita(3, o, p, q)(3, 1, 1),
613 "levi_civita(3,o,p,q)(3,1,1)");
614 test_for_zero(levi_civita(3, o, p, q)(3, 1, 2),
615 "levi_civita(3,o,p,q)(3,1,2)");
616 test_for_zero(levi_civita(3, o, p, q)(3, 1, 3),
617 "levi_civita(3,o,p,q)(3,1,3)");
618 test_for_zero(levi_civita(3, o, p, q)(3, 2, 0),
619 "levi_civita(3,o,p,q)(3,2,0)");
620 test_for_zero(levi_civita(3, o, p, q)(3, 2, 1),
621 "levi_civita(3,o,p,q)(3,2,1)");
622 test_for_zero(levi_civita(3, o, p, q)(3, 2, 2),
623 "levi_civita(3,o,p,q)(3,2,2)");
624 test_for_zero(levi_civita(3, o, p, q)(3, 2, 3),
625 "levi_civita(3,o,p,q)(3,2,3)");
626 test_for_zero(levi_civita(3, o, p, q)(3, 3, 0),
627 "levi_civita(3,o,p,q)(3,3,0)");
628 test_for_zero(levi_civita(3, o, p, q)(3, 3, 1),
629 "levi_civita(3,o,p,q)(3,3,1)");
630 test_for_zero(levi_civita(3, o, p, q)(3, 3, 2),
631 "levi_civita(3,o,p,q)(3,3,2)");
632 test_for_zero(levi_civita(3, o, p, q)(3, 3, 3),
633 "levi_civita(3,o,p,q)(3,3,3)");
634
635 test_for_zero(levi_civita(n, 0, p, q)(0, 0, 0),
636 "levi_civita(n,0,p,q)(0,0,0)");
637 test_for_zero(levi_civita(n, 0, p, q)(0, 0, 1),
638 "levi_civita(n,0,p,q)(0,0,1)");
639 test_for_zero(levi_civita(n, 0, p, q)(0, 0, 2),
640 "levi_civita(n,0,p,q)(0,0,2)");
641 test_for_zero(levi_civita(n, 0, p, q)(0, 0, 3),
642 "levi_civita(n,0,p,q)(0,0,3)");
643 test_for_zero(levi_civita(n, 0, p, q)(0, 1, 0),
644 "levi_civita(n,0,p,q)(0,1,0)");
645 test_for_zero(levi_civita(n, 0, p, q)(0, 1, 1),
646 "levi_civita(n,0,p,q)(0,1,1)");
647 test_for_zero(levi_civita(n, 0, p, q)(0, 1, 2),
648 "levi_civita(n,0,p,q)(0,1,2)");
649 test_for_zero(levi_civita(n, 0, p, q)(0, 1, 3),
650 "levi_civita(n,0,p,q)(0,1,3)");
651 test_for_zero(levi_civita(n, 0, p, q)(0, 2, 0),
652 "levi_civita(n,0,p,q)(0,2,0)");
653 test_for_zero(levi_civita(n, 0, p, q)(0, 2, 1),
654 "levi_civita(n,0,p,q)(0,2,1)");
655 test_for_zero(levi_civita(n, 0, p, q)(0, 2, 2),
656 "levi_civita(n,0,p,q)(0,2,2)");
657 test_for_zero(levi_civita(n, 0, p, q)(0, 2, 3),
658 "levi_civita(n,0,p,q)(0,2,3)");
659 test_for_zero(levi_civita(n, 0, p, q)(0, 3, 0),
660 "levi_civita(n,0,p,q)(0,3,0)");
661 test_for_zero(levi_civita(n, 0, p, q)(0, 3, 1),
662 "levi_civita(n,0,p,q)(0,3,1)");
663 test_for_zero(levi_civita(n, 0, p, q)(0, 3, 2),
664 "levi_civita(n,0,p,q)(0,3,2)");
665 test_for_zero(levi_civita(n, 0, p, q)(0, 3, 3),
666 "levi_civita(n,0,p,q)(0,3,3)");
667 test_for_zero(levi_civita(n, 0, p, q)(1, 0, 0),
668 "levi_civita(n,0,p,q)(1,0,0)");
669 test_for_zero(levi_civita(n, 0, p, q)(1, 0, 1),
670 "levi_civita(n,0,p,q)(1,0,1)");
671 test_for_zero(levi_civita(n, 0, p, q)(1, 0, 2),
672 "levi_civita(n,0,p,q)(1,0,2)");
673 test_for_zero(levi_civita(n, 0, p, q)(1, 0, 3),
674 "levi_civita(n,0,p,q)(1,0,3)");
675 test_for_zero(levi_civita(n, 0, p, q)(1, 1, 0),
676 "levi_civita(n,0,p,q)(1,1,0)");
677 test_for_zero(levi_civita(n, 0, p, q)(1, 1, 1),
678 "levi_civita(n,0,p,q)(1,1,1)");
679 test_for_zero(levi_civita(n, 0, p, q)(1, 1, 2),
680 "levi_civita(n,0,p,q)(1,1,2)");
681 test_for_zero(levi_civita(n, 0, p, q)(1, 1, 3),
682 "levi_civita(n,0,p,q)(1,1,3)");
683 test_for_zero(levi_civita(n, 0, p, q)(1, 2, 0),
684 "levi_civita(n,0,p,q)(1,2,0)");
685 test_for_zero(levi_civita(n, 0, p, q)(1, 2, 1),
686 "levi_civita(n,0,p,q)(1,2,1)");
687 test_for_zero(levi_civita(n, 0, p, q)(1, 2, 2),
688 "levi_civita(n,0,p,q)(1,2,2)");
689 test_for_zero(levi_civita(n, 0, p, q)(1, 2, 3) + 1,
690 "levi_civita(n,0,p,q)(1,2,3)");
691 test_for_zero(levi_civita(n, 0, p, q)(1, 3, 0),
692 "levi_civita(n,0,p,q)(1,3,0)");
693 test_for_zero(levi_civita(n, 0, p, q)(1, 3, 1),
694 "levi_civita(n,0,p,q)(1,3,1)");
695 test_for_zero(levi_civita(n, 0, p, q)(1, 3, 2) - 1,
696 "levi_civita(n,0,p,q)(1,3,2)");
697 test_for_zero(levi_civita(n, 0, p, q)(1, 3, 3),
698 "levi_civita(n,0,p,q)(1,3,3)");
699 test_for_zero(levi_civita(n, 0, p, q)(2, 0, 0),
700 "levi_civita(n,0,p,q)(2,0,0)");
701 test_for_zero(levi_civita(n, 0, p, q)(2, 0, 1),
702 "levi_civita(n,0,p,q)(2,0,1)");
703 test_for_zero(levi_civita(n, 0, p, q)(2, 0, 2),
704 "levi_civita(n,0,p,q)(2,0,2)");
705 test_for_zero(levi_civita(n, 0, p, q)(2, 0, 3),
706 "levi_civita(n,0,p,q)(2,0,3)");
707 test_for_zero(levi_civita(n, 0, p, q)(2, 1, 0),
708 "levi_civita(n,0,p,q)(2,1,0)");
709 test_for_zero(levi_civita(n, 0, p, q)(2, 1, 1),
710 "levi_civita(n,0,p,q)(2,1,1)");
711 test_for_zero(levi_civita(n, 0, p, q)(2, 1, 2),
712 "levi_civita(n,0,p,q)(2,1,2)");
713 test_for_zero(levi_civita(n, 0, p, q)(2, 1, 3) - 1,
714 "levi_civita(n,0,p,q)(2,1,3)");
715 test_for_zero(levi_civita(n, 0, p, q)(2, 2, 0),
716 "levi_civita(n,0,p,q)(2,2,0)");
717 test_for_zero(levi_civita(n, 0, p, q)(2, 2, 1),
718 "levi_civita(n,0,p,q)(2,2,1)");
719 test_for_zero(levi_civita(n, 0, p, q)(2, 2, 2),
720 "levi_civita(n,0,p,q)(2,2,2)");
721 test_for_zero(levi_civita(n, 0, p, q)(2, 2, 3),
722 "levi_civita(n,0,p,q)(2,2,3)");
723 test_for_zero(levi_civita(n, 0, p, q)(2, 3, 0),
724 "levi_civita(n,0,p,q)(2,3,0)");
725 test_for_zero(levi_civita(n, 0, p, q)(2, 3, 1) + 1,
726 "levi_civita(n,0,p,q)(2,3,1)");
727 test_for_zero(levi_civita(n, 0, p, q)(2, 3, 2),
728 "levi_civita(n,0,p,q)(2,3,2)");
729 test_for_zero(levi_civita(n, 0, p, q)(2, 3, 3),
730 "levi_civita(n,0,p,q)(2,3,3)");
731 test_for_zero(levi_civita(n, 0, p, q)(3, 0, 0),
732 "levi_civita(n,0,p,q)(3,0,0)");
733 test_for_zero(levi_civita(n, 0, p, q)(3, 0, 1),
734 "levi_civita(n,0,p,q)(3,0,1)");
735 test_for_zero(levi_civita(n, 0, p, q)(3, 0, 2),
736 "levi_civita(n,0,p,q)(3,0,2)");
737 test_for_zero(levi_civita(n, 0, p, q)(3, 0, 3),
738 "levi_civita(n,0,p,q)(3,0,3)");
739 test_for_zero(levi_civita(n, 0, p, q)(3, 1, 0),
740 "levi_civita(n,0,p,q)(3,1,0)");
741 test_for_zero(levi_civita(n, 0, p, q)(3, 1, 1),
742 "levi_civita(n,0,p,q)(3,1,1)");
743 test_for_zero(levi_civita(n, 0, p, q)(3, 1, 2) + 1,
744 "levi_civita(n,0,p,q)(3,1,2)");
745 test_for_zero(levi_civita(n, 0, p, q)(3, 1, 3),
746 "levi_civita(n,0,p,q)(3,1,3)");
747 test_for_zero(levi_civita(n, 0, p, q)(3, 2, 0),
748 "levi_civita(n,0,p,q)(3,2,0)");
749 test_for_zero(levi_civita(n, 0, p, q)(3, 2, 1) - 1,
750 "levi_civita(n,0,p,q)(3,2,1)");
751 test_for_zero(levi_civita(n, 0, p, q)(3, 2, 2),
752 "levi_civita(n,0,p,q)(3,2,2)");
753 test_for_zero(levi_civita(n, 0, p, q)(3, 2, 3),
754 "levi_civita(n,0,p,q)(3,2,3)");
755 test_for_zero(levi_civita(n, 0, p, q)(3, 3, 0),
756 "levi_civita(n,0,p,q)(3,3,0)");
757 test_for_zero(levi_civita(n, 0, p, q)(3, 3, 1),
758 "levi_civita(n,0,p,q)(3,3,1)");
759 test_for_zero(levi_civita(n, 0, p, q)(3, 3, 2),
760 "levi_civita(n,0,p,q)(3,3,2)");
761 test_for_zero(levi_civita(n, 0, p, q)(3, 3, 3),
762 "levi_civita(n,0,p,q)(3,3,3)");
763
764 test_for_zero(levi_civita(n, 1, p, q)(0, 0, 0),
765 "levi_civita(n,1,p,q)(0,0,0)");
766 test_for_zero(levi_civita(n, 1, p, q)(0, 0, 1),
767 "levi_civita(n,1,p,q)(0,0,1)");
768 test_for_zero(levi_civita(n, 1, p, q)(0, 0, 2),
769 "levi_civita(n,1,p,q)(0,0,2)");
770 test_for_zero(levi_civita(n, 1, p, q)(0, 0, 3),
771 "levi_civita(n,1,p,q)(0,0,3)");
772 test_for_zero(levi_civita(n, 1, p, q)(0, 1, 0),
773 "levi_civita(n,1,p,q)(0,1,0)");
774 test_for_zero(levi_civita(n, 1, p, q)(0, 1, 1),
775 "levi_civita(n,1,p,q)(0,1,1)");
776 test_for_zero(levi_civita(n, 1, p, q)(0, 1, 2),
777 "levi_civita(n,1,p,q)(0,1,2)");
778 test_for_zero(levi_civita(n, 1, p, q)(0, 1, 3),
779 "levi_civita(n,1,p,q)(0,1,3)");
780 test_for_zero(levi_civita(n, 1, p, q)(0, 2, 0),
781 "levi_civita(n,1,p,q)(0,2,0)");
782 test_for_zero(levi_civita(n, 1, p, q)(0, 2, 1),
783 "levi_civita(n,1,p,q)(0,2,1)");
784 test_for_zero(levi_civita(n, 1, p, q)(0, 2, 2),
785 "levi_civita(n,1,p,q)(0,2,2)");
786 test_for_zero(levi_civita(n, 1, p, q)(0, 2, 3) - 1,
787 "levi_civita(n,1,p,q)(0,2,3)");
788 test_for_zero(levi_civita(n, 1, p, q)(0, 3, 0),
789 "levi_civita(n,1,p,q)(0,3,0)");
790 test_for_zero(levi_civita(n, 1, p, q)(0, 3, 1),
791 "levi_civita(n,1,p,q)(0,3,1)");
792 test_for_zero(levi_civita(n, 1, p, q)(0, 3, 2) + 1,
793 "levi_civita(n,1,p,q)(0,3,2)");
794 test_for_zero(levi_civita(n, 1, p, q)(0, 3, 3),
795 "levi_civita(n,1,p,q)(0,3,3)");
796 test_for_zero(levi_civita(n, 1, p, q)(1, 0, 0),
797 "levi_civita(n,1,p,q)(1,0,0)");
798 test_for_zero(levi_civita(n, 1, p, q)(1, 0, 1),
799 "levi_civita(n,1,p,q)(1,0,1)");
800 test_for_zero(levi_civita(n, 1, p, q)(1, 0, 2),
801 "levi_civita(n,1,p,q)(1,0,2)");
802 test_for_zero(levi_civita(n, 1, p, q)(1, 0, 3),
803 "levi_civita(n,1,p,q)(1,0,3)");
804 test_for_zero(levi_civita(n, 1, p, q)(1, 1, 0),
805 "levi_civita(n,1,p,q)(1,1,0)");
806 test_for_zero(levi_civita(n, 1, p, q)(1, 1, 1),
807 "levi_civita(n,1,p,q)(1,1,1)");
808 test_for_zero(levi_civita(n, 1, p, q)(1, 1, 2),
809 "levi_civita(n,1,p,q)(1,1,2)");
810 test_for_zero(levi_civita(n, 1, p, q)(1, 1, 3),
811 "levi_civita(n,1,p,q)(1,1,3)");
812 test_for_zero(levi_civita(n, 1, p, q)(1, 2, 0),
813 "levi_civita(n,1,p,q)(1,2,0)");
814 test_for_zero(levi_civita(n, 1, p, q)(1, 2, 1),
815 "levi_civita(n,1,p,q)(1,2,1)");
816 test_for_zero(levi_civita(n, 1, p, q)(1, 2, 2),
817 "levi_civita(n,1,p,q)(1,2,2)");
818 test_for_zero(levi_civita(n, 1, p, q)(1, 2, 3),
819 "levi_civita(n,1,p,q)(1,2,3)");
820 test_for_zero(levi_civita(n, 1, p, q)(1, 3, 0),
821 "levi_civita(n,1,p,q)(1,3,0)");
822 test_for_zero(levi_civita(n, 1, p, q)(1, 3, 1),
823 "levi_civita(n,1,p,q)(1,3,1)");
824 test_for_zero(levi_civita(n, 1, p, q)(1, 3, 2),
825 "levi_civita(n,1,p,q)(1,3,2)");
826 test_for_zero(levi_civita(n, 1, p, q)(1, 3, 3),
827 "levi_civita(n,1,p,q)(1,3,3)");
828 test_for_zero(levi_civita(n, 1, p, q)(2, 0, 0),
829 "levi_civita(n,1,p,q)(2,0,0)");
830 test_for_zero(levi_civita(n, 1, p, q)(2, 0, 1),
831 "levi_civita(n,1,p,q)(2,0,1)");
832 test_for_zero(levi_civita(n, 1, p, q)(2, 0, 2),
833 "levi_civita(n,1,p,q)(2,0,2)");
834 test_for_zero(levi_civita(n, 1, p, q)(2, 0, 3) + 1,
835 "levi_civita(n,1,p,q)(2,0,3)");
836 test_for_zero(levi_civita(n, 1, p, q)(2, 1, 0),
837 "levi_civita(n,1,p,q)(2,1,0)");
838 test_for_zero(levi_civita(n, 1, p, q)(2, 1, 1),
839 "levi_civita(n,1,p,q)(2,1,1)");
840 test_for_zero(levi_civita(n, 1, p, q)(2, 1, 2),
841 "levi_civita(n,1,p,q)(2,1,2)");
842 test_for_zero(levi_civita(n, 1, p, q)(2, 1, 3),
843 "levi_civita(n,1,p,q)(2,1,3)");
844 test_for_zero(levi_civita(n, 1, p, q)(2, 2, 0),
845 "levi_civita(n,1,p,q)(2,2,0)");
846 test_for_zero(levi_civita(n, 1, p, q)(2, 2, 1),
847 "levi_civita(n,1,p,q)(2,2,1)");
848 test_for_zero(levi_civita(n, 1, p, q)(2, 2, 2),
849 "levi_civita(n,1,p,q)(2,2,2)");
850 test_for_zero(levi_civita(n, 1, p, q)(2, 2, 3),
851 "levi_civita(n,1,p,q)(2,2,3)");
852 test_for_zero(levi_civita(n, 1, p, q)(2, 3, 0) - 1,
853 "levi_civita(n,1,p,q)(2,3,0)");
854 test_for_zero(levi_civita(n, 1, p, q)(2, 3, 1),
855 "levi_civita(n,1,p,q)(2,3,1)");
856 test_for_zero(levi_civita(n, 1, p, q)(2, 3, 2),
857 "levi_civita(n,1,p,q)(2,3,2)");
858 test_for_zero(levi_civita(n, 1, p, q)(2, 3, 3),
859 "levi_civita(n,1,p,q)(2,3,3)");
860 test_for_zero(levi_civita(n, 1, p, q)(3, 0, 0),
861 "levi_civita(n,1,p,q)(3,0,0)");
862 test_for_zero(levi_civita(n, 1, p, q)(3, 0, 1),
863 "levi_civita(n,1,p,q)(3,0,1)");
864 test_for_zero(levi_civita(n, 1, p, q)(3, 0, 2) - 1,
865 "levi_civita(n,1,p,q)(3,0,2)");
866 test_for_zero(levi_civita(n, 1, p, q)(3, 0, 3),
867 "levi_civita(n,1,p,q)(3,0,3)");
868 test_for_zero(levi_civita(n, 1, p, q)(3, 1, 0),
869 "levi_civita(n,1,p,q)(3,1,0)");
870 test_for_zero(levi_civita(n, 1, p, q)(3, 1, 1),
871 "levi_civita(n,1,p,q)(3,1,1)");
872 test_for_zero(levi_civita(n, 1, p, q)(3, 1, 2),
873 "levi_civita(n,1,p,q)(3,1,2)");
874 test_for_zero(levi_civita(n, 1, p, q)(3, 1, 3),
875 "levi_civita(n,1,p,q)(3,1,3)");
876 test_for_zero(levi_civita(n, 1, p, q)(3, 2, 0) + 1,
877 "levi_civita(n,1,p,q)(3,2,0)");
878 test_for_zero(levi_civita(n, 1, p, q)(3, 2, 1),
879 "levi_civita(n,1,p,q)(3,2,1)");
880 test_for_zero(levi_civita(n, 1, p, q)(3, 2, 2),
881 "levi_civita(n,1,p,q)(3,2,2)");
882 test_for_zero(levi_civita(n, 1, p, q)(3, 2, 3),
883 "levi_civita(n,1,p,q)(3,2,3)");
884 test_for_zero(levi_civita(n, 1, p, q)(3, 3, 0),
885 "levi_civita(n,1,p,q)(3,3,0)");
886 test_for_zero(levi_civita(n, 1, p, q)(3, 3, 1),
887 "levi_civita(n,1,p,q)(3,3,1)");
888 test_for_zero(levi_civita(n, 1, p, q)(3, 3, 2),
889 "levi_civita(n,1,p,q)(3,3,2)");
890 test_for_zero(levi_civita(n, 1, p, q)(3, 3, 3),
891 "levi_civita(n,1,p,q)(3,3,3)");
892
893 test_for_zero(levi_civita(n, 2, p, q)(0, 0, 0),
894 "levi_civita(n,2,p,q)(0,0,0)");
895 test_for_zero(levi_civita(n, 2, p, q)(0, 0, 1),
896 "levi_civita(n,2,p,q)(0,0,1)");
897 test_for_zero(levi_civita(n, 2, p, q)(0, 0, 2),
898 "levi_civita(n,2,p,q)(0,0,2)");
899 test_for_zero(levi_civita(n, 2, p, q)(0, 0, 3),
900 "levi_civita(n,2,p,q)(0,0,3)");
901 test_for_zero(levi_civita(n, 2, p, q)(0, 1, 0),
902 "levi_civita(n,2,p,q)(0,1,0)");
903 test_for_zero(levi_civita(n, 2, p, q)(0, 1, 1),
904 "levi_civita(n,2,p,q)(0,1,1)");
905 test_for_zero(levi_civita(n, 2, p, q)(0, 1, 2),
906 "levi_civita(n,2,p,q)(0,1,2)");
907 test_for_zero(levi_civita(n, 2, p, q)(0, 1, 3) + 1,
908 "levi_civita(n,2,p,q)(0,1,3)");
909 test_for_zero(levi_civita(n, 2, p, q)(0, 2, 0),
910 "levi_civita(n,2,p,q)(0,2,0)");
911 test_for_zero(levi_civita(n, 2, p, q)(0, 2, 1),
912 "levi_civita(n,2,p,q)(0,2,1)");
913 test_for_zero(levi_civita(n, 2, p, q)(0, 2, 2),
914 "levi_civita(n,2,p,q)(0,2,2)");
915 test_for_zero(levi_civita(n, 2, p, q)(0, 3, 3),
916 "levi_civita(n,2,p,q)(0,2,3)");
917 test_for_zero(levi_civita(n, 2, p, q)(0, 3, 0),
918 "levi_civita(n,2,p,q)(0,3,0)");
919 test_for_zero(levi_civita(n, 2, p, q)(0, 3, 1) - 1,
920 "levi_civita(n,2,p,q)(0,3,1)");
921 test_for_zero(levi_civita(n, 2, p, q)(0, 3, 2),
922 "levi_civita(n,2,p,q)(0,3,2)");
923 test_for_zero(levi_civita(n, 2, p, q)(0, 3, 3),
924 "levi_civita(n,2,p,q)(0,3,3)");
925 test_for_zero(levi_civita(n, 2, p, q)(1, 0, 0),
926 "levi_civita(n,2,p,q)(1,0,0)");
927 test_for_zero(levi_civita(n, 2, p, q)(1, 0, 1),
928 "levi_civita(n,2,p,q)(1,0,1)");
929 test_for_zero(levi_civita(n, 2, p, q)(1, 0, 2),
930 "levi_civita(n,2,p,q)(1,0,2)");
931 test_for_zero(levi_civita(n, 2, p, q)(1, 0, 3) - 1,
932 "levi_civita(n,2,p,q)(1,0,3)");
933 test_for_zero(levi_civita(n, 2, p, q)(1, 1, 0),
934 "levi_civita(n,2,p,q)(1,1,0)");
935 test_for_zero(levi_civita(n, 2, p, q)(1, 1, 1),
936 "levi_civita(n,2,p,q)(1,1,1)");
937 test_for_zero(levi_civita(n, 2, p, q)(1, 1, 2),
938 "levi_civita(n,2,p,q)(1,1,2)");
939 test_for_zero(levi_civita(n, 2, p, q)(1, 1, 3),
940 "levi_civita(n,2,p,q)(1,1,3)");
941 test_for_zero(levi_civita(n, 2, p, q)(1, 2, 0),
942 "levi_civita(n,2,p,q)(1,2,0)");
943 test_for_zero(levi_civita(n, 2, p, q)(1, 2, 1),
944 "levi_civita(n,2,p,q)(1,2,1)");
945 test_for_zero(levi_civita(n, 2, p, q)(1, 2, 2),
946 "levi_civita(n,2,p,q)(1,2,2)");
947 test_for_zero(levi_civita(n, 2, p, q)(1, 2, 3),
948 "levi_civita(n,2,p,q)(1,2,3)");
949 test_for_zero(levi_civita(n, 2, p, q)(1, 3, 0) + 1,
950 "levi_civita(n,2,p,q)(1,3,0)");
951 test_for_zero(levi_civita(n, 2, p, q)(1, 3, 1),
952 "levi_civita(n,2,p,q)(1,3,1)");
953 test_for_zero(levi_civita(n, 2, p, q)(1, 3, 2),
954 "levi_civita(n,2,p,q)(1,3,2)");
955 test_for_zero(levi_civita(n, 2, p, q)(1, 3, 3),
956 "levi_civita(n,2,p,q)(1,3,3)");
957 test_for_zero(levi_civita(n, 2, p, q)(2, 0, 0),
958 "levi_civita(n,2,p,q)(2,0,0)");
959 test_for_zero(levi_civita(n, 2, p, q)(2, 0, 1),
960 "levi_civita(n,2,p,q)(2,0,1)");
961 test_for_zero(levi_civita(n, 2, p, q)(2, 0, 2),
962 "levi_civita(n,2,p,q)(2,0,2)");
963 test_for_zero(levi_civita(n, 2, p, q)(2, 0, 3),
964 "levi_civita(n,2,p,q)(2,0,3)");
965 test_for_zero(levi_civita(n, 2, p, q)(2, 1, 0),
966 "levi_civita(n,2,p,q)(2,1,0)");
967 test_for_zero(levi_civita(n, 2, p, q)(2, 1, 1),
968 "levi_civita(n,2,p,q)(2,1,1)");
969 test_for_zero(levi_civita(n, 2, p, q)(2, 1, 2),
970 "levi_civita(n,2,p,q)(2,1,2)");
971 test_for_zero(levi_civita(n, 2, p, q)(2, 1, 3),
972 "levi_civita(n,2,p,q)(2,1,3)");
973 test_for_zero(levi_civita(n, 2, p, q)(2, 2, 0),
974 "levi_civita(n,2,p,q)(2,2,0)");
975 test_for_zero(levi_civita(n, 2, p, q)(2, 2, 1),
976 "levi_civita(n,2,p,q)(2,2,1)");
977 test_for_zero(levi_civita(n, 2, p, q)(2, 2, 2),
978 "levi_civita(n,2,p,q)(2,2,2)");
979 test_for_zero(levi_civita(n, 2, p, q)(2, 2, 3),
980 "levi_civita(n,2,p,q)(2,2,3)");
981 test_for_zero(levi_civita(n, 2, p, q)(2, 3, 0),
982 "levi_civita(n,2,p,q)(2,3,0)");
983 test_for_zero(levi_civita(n, 2, p, q)(2, 3, 1),
984 "levi_civita(n,2,p,q)(2,3,1)");
985 test_for_zero(levi_civita(n, 2, p, q)(2, 3, 2),
986 "levi_civita(n,2,p,q)(2,3,2)");
987 test_for_zero(levi_civita(n, 2, p, q)(2, 3, 3),
988 "levi_civita(n,2,p,q)(2,3,3)");
989 test_for_zero(levi_civita(n, 2, p, q)(3, 0, 0),
990 "levi_civita(n,2,p,q)(3,0,0)");
991 test_for_zero(levi_civita(n, 2, p, q)(3, 0, 1) + 1,
992 "levi_civita(n,2,p,q)(3,0,1)");
993 test_for_zero(levi_civita(n, 2, p, q)(3, 0, 2),
994 "levi_civita(n,2,p,q)(3,0,2)");
995 test_for_zero(levi_civita(n, 2, p, q)(3, 0, 3),
996 "levi_civita(n,2,p,q)(3,0,3)");
997 test_for_zero(levi_civita(n, 2, p, q)(3, 1, 0) - 1,
998 "levi_civita(n,2,p,q)(3,1,0)");
999 test_for_zero(levi_civita(n, 2, p, q)(3, 1, 1),
1000 "levi_civita(n,2,p,q)(3,1,1)");
1001 test_for_zero(levi_civita(n, 2, p, q)(3, 1, 2),
1002 "levi_civita(n,2,p,q)(3,1,2)");
1003 test_for_zero(levi_civita(n, 2, p, q)(3, 1, 3),
1004 "levi_civita(n,2,p,q)(3,1,3)");
1005 test_for_zero(levi_civita(n, 2, p, q)(3, 2, 0),
1006 "levi_civita(n,2,p,q)(3,2,0)");
1007 test_for_zero(levi_civita(n, 2, p, q)(3, 2, 1),
1008 "levi_civita(n,2,p,q)(3,2,1)");
1009 test_for_zero(levi_civita(n, 2, p, q)(3, 2, 2),
1010 "levi_civita(n,2,p,q)(3,2,2)");
1011 test_for_zero(levi_civita(n, 2, p, q)(3, 2, 3),
1012 "levi_civita(n,2,p,q)(3,2,3)");
1013 test_for_zero(levi_civita(n, 2, p, q)(3, 3, 0),
1014 "levi_civita(n,2,p,q)(3,3,0)");
1015 test_for_zero(levi_civita(n, 2, p, q)(3, 3, 1),
1016 "levi_civita(n,2,p,q)(3,3,1)");
1017 test_for_zero(levi_civita(n, 2, p, q)(3, 3, 2),
1018 "levi_civita(n,2,p,q)(3,3,2)");
1019 test_for_zero(levi_civita(n, 2, p, q)(3, 3, 3),
1020 "levi_civita(n,2,p,q)(3,3,3)");
1021
1022 test_for_zero(levi_civita(n, 3, p, q)(0, 0, 0),
1023 "levi_civita(n,3,p,q)(0,0,0)");
1024 test_for_zero(levi_civita(n, 3, p, q)(0, 0, 1),
1025 "levi_civita(n,3,p,q)(0,0,1)");
1026 test_for_zero(levi_civita(n, 3, p, q)(0, 0, 2),
1027 "levi_civita(n,3,p,q)(0,0,2)");
1028 test_for_zero(levi_civita(n, 3, p, q)(0, 0, 3),
1029 "levi_civita(n,3,p,q)(0,0,3)");
1030 test_for_zero(levi_civita(n, 3, p, q)(0, 1, 0),
1031 "levi_civita(n,3,p,q)(0,1,0)");
1032 test_for_zero(levi_civita(n, 3, p, q)(0, 1, 1),
1033 "levi_civita(n,3,p,q)(0,1,1)");
1034 test_for_zero(levi_civita(n, 3, p, q)(0, 1, 2) - 1,
1035 "levi_civita(n,3,p,q)(0,1,2)");
1036 test_for_zero(levi_civita(n, 3, p, q)(0, 1, 3),
1037 "levi_civita(n,3,p,q)(0,1,3)");
1038 test_for_zero(levi_civita(n, 3, p, q)(0, 2, 0),
1039 "levi_civita(n,3,p,q)(0,2,0)");
1040 test_for_zero(levi_civita(n, 3, p, q)(0, 2, 1) + 1,
1041 "levi_civita(n,3,p,q)(0,2,1)");
1042 test_for_zero(levi_civita(n, 3, p, q)(0, 2, 2),
1043 "levi_civita(n,3,p,q)(0,2,2)");
1044 test_for_zero(levi_civita(n, 3, p, q)(0, 2, 3),
1045 "levi_civita(n,3,p,q)(0,2,3)");
1046 test_for_zero(levi_civita(n, 3, p, q)(0, 3, 0),
1047 "levi_civita(n,3,p,q)(0,3,0)");
1048 test_for_zero(levi_civita(n, 3, p, q)(0, 3, 1),
1049 "levi_civita(n,3,p,q)(0,3,1)");
1050 test_for_zero(levi_civita(n, 3, p, q)(0, 3, 2),
1051 "levi_civita(n,3,p,q)(0,3,2)");
1052 test_for_zero(levi_civita(n, 3, p, q)(0, 3, 3),
1053 "levi_civita(n,3,p,q)(0,3,3)");
1054 test_for_zero(levi_civita(n, 3, p, q)(1, 0, 0),
1055 "levi_civita(n,3,p,q)(1,0,0)");
1056 test_for_zero(levi_civita(n, 3, p, q)(1, 0, 1),
1057 "levi_civita(n,3,p,q)(1,0,1)");
1058 test_for_zero(levi_civita(n, 3, p, q)(1, 0, 2) + 1,
1059 "levi_civita(n,3,p,q)(1,0,2)");
1060 test_for_zero(levi_civita(n, 3, p, q)(1, 0, 3),
1061 "levi_civita(n,3,p,q)(1,0,3)");
1062 test_for_zero(levi_civita(n, 3, p, q)(1, 1, 0),
1063 "levi_civita(n,3,p,q)(1,1,0)");
1064 test_for_zero(levi_civita(n, 3, p, q)(1, 1, 1),
1065 "levi_civita(n,3,p,q)(1,1,1)");
1066 test_for_zero(levi_civita(n, 3, p, q)(1, 1, 2),
1067 "levi_civita(n,3,p,q)(1,1,2)");
1068 test_for_zero(levi_civita(n, 3, p, q)(1, 1, 3),
1069 "levi_civita(n,3,p,q)(1,1,3)");
1070 test_for_zero(levi_civita(n, 3, p, q)(1, 2, 0) - 1,
1071 "levi_civita(n,3,p,q)(1,2,0)");
1072 test_for_zero(levi_civita(n, 3, p, q)(1, 2, 1),
1073 "levi_civita(n,3,p,q)(1,2,1)");
1074 test_for_zero(levi_civita(n, 3, p, q)(1, 2, 2),
1075 "levi_civita(n,3,p,q)(1,2,2)");
1076 test_for_zero(levi_civita(n, 3, p, q)(1, 2, 3),
1077 "levi_civita(n,3,p,q)(1,2,3)");
1078 test_for_zero(levi_civita(n, 3, p, q)(1, 3, 0),
1079 "levi_civita(n,3,p,q)(1,3,0)");
1080 test_for_zero(levi_civita(n, 3, p, q)(1, 3, 1),
1081 "levi_civita(n,3,p,q)(1,3,1)");
1082 test_for_zero(levi_civita(n, 3, p, q)(1, 3, 2),
1083 "levi_civita(n,3,p,q)(1,3,2)");
1084 test_for_zero(levi_civita(n, 3, p, q)(1, 3, 3),
1085 "levi_civita(n,3,p,q)(1,3,3)");
1086 test_for_zero(levi_civita(n, 3, p, q)(2, 0, 0),
1087 "levi_civita(n,3,p,q)(2,0,0)");
1088 test_for_zero(levi_civita(n, 3, p, q)(2, 0, 1) - 1,
1089 "levi_civita(n,3,p,q)(2,0,1)");
1090 test_for_zero(levi_civita(n, 3, p, q)(2, 0, 2),
1091 "levi_civita(n,3,p,q)(2,0,2)");
1092 test_for_zero(levi_civita(n, 3, p, q)(2, 0, 3),
1093 "levi_civita(n,3,p,q)(2,0,3)");
1094 test_for_zero(levi_civita(n, 3, p, q)(2, 1, 0) + 1,
1095 "levi_civita(n,3,p,q)(2,1,0)");
1096 test_for_zero(levi_civita(n, 3, p, q)(2, 1, 1),
1097 "levi_civita(n,3,p,q)(2,1,1)");
1098 test_for_zero(levi_civita(n, 3, p, q)(2, 1, 2),
1099 "levi_civita(n,3,p,q)(2,1,2)");
1100 test_for_zero(levi_civita(n, 3, p, q)(2, 1, 3),
1101 "levi_civita(n,3,p,q)(2,1,3)");
1102 test_for_zero(levi_civita(n, 3, p, q)(2, 2, 0),
1103 "levi_civita(n,3,p,q)(2,2,0)");
1104 test_for_zero(levi_civita(n, 3, p, q)(2, 2, 1),
1105 "levi_civita(n,3,p,q)(2,2,1)");
1106 test_for_zero(levi_civita(n, 3, p, q)(2, 2, 2),
1107 "levi_civita(n,3,p,q)(2,2,2)");
1108 test_for_zero(levi_civita(n, 3, p, q)(2, 2, 3),
1109 "levi_civita(n,3,p,q)(2,2,3)");
1110 test_for_zero(levi_civita(n, 3, p, q)(2, 3, 0),
1111 "levi_civita(n,3,p,q)(2,3,0)");
1112 test_for_zero(levi_civita(n, 3, p, q)(2, 3, 1),
1113 "levi_civita(n,3,p,q)(2,3,1)");
1114 test_for_zero(levi_civita(n, 3, p, q)(2, 3, 2),
1115 "levi_civita(n,3,p,q)(2,3,2)");
1116 test_for_zero(levi_civita(n, 3, p, q)(2, 3, 3),
1117 "levi_civita(n,3,p,q)(2,3,3)");
1118 test_for_zero(levi_civita(n, 3, p, q)(3, 0, 0),
1119 "levi_civita(n,3,p,q)(3,0,0)");
1120 test_for_zero(levi_civita(n, 3, p, q)(3, 0, 1),
1121 "levi_civita(n,3,p,q)(3,0,1)");
1122 test_for_zero(levi_civita(n, 3, p, q)(3, 0, 2),
1123 "levi_civita(n,3,p,q)(3,0,2)");
1124 test_for_zero(levi_civita(n, 3, p, q)(3, 0, 3),
1125 "levi_civita(n,3,p,q)(3,0,3)");
1126 test_for_zero(levi_civita(n, 3, p, q)(3, 1, 0),
1127 "levi_civita(n,3,p,q)(3,1,0)");
1128 test_for_zero(levi_civita(n, 3, p, q)(3, 1, 1),
1129 "levi_civita(n,3,p,q)(3,1,1)");
1130 test_for_zero(levi_civita(n, 3, p, q)(3, 1, 2),
1131 "levi_civita(n,3,p,q)(3,1,2)");
1132 test_for_zero(levi_civita(n, 3, p, q)(3, 1, 3),
1133 "levi_civita(n,3,p,q)(3,1,3)");
1134 test_for_zero(levi_civita(n, 3, p, q)(3, 2, 0),
1135 "levi_civita(n,3,p,q)(3,2,0)");
1136 test_for_zero(levi_civita(n, 3, p, q)(3, 2, 1),
1137 "levi_civita(n,3,p,q)(3,2,1)");
1138 test_for_zero(levi_civita(n, 3, p, q)(3, 2, 2),
1139 "levi_civita(n,3,p,q)(3,2,2)");
1140 test_for_zero(levi_civita(n, 3, p, q)(3, 2, 3),
1141 "levi_civita(n,3,p,q)(3,2,3)");
1142 test_for_zero(levi_civita(n, 3, p, q)(3, 3, 0),
1143 "levi_civita(n,3,p,q)(3,3,0)");
1144 test_for_zero(levi_civita(n, 3, p, q)(3, 3, 1),
1145 "levi_civita(n,3,p,q)(3,3,1)");
1146 test_for_zero(levi_civita(n, 3, p, q)(3, 3, 2),
1147 "levi_civita(n,3,p,q)(3,3,2)");
1148 test_for_zero(levi_civita(n, 3, p, q)(3, 3, 3),
1149 "levi_civita(n,3,p,q)(3,3,3)");
1150
1151 test_for_zero(levi_civita(n, o, 0, q)(0, 0, 0),
1152 "levi_civita(n,o,0,q)(0,0,0)");
1153 test_for_zero(levi_civita(n, o, 0, q)(0, 0, 1),
1154 "levi_civita(n,o,0,q)(0,0,1)");
1155 test_for_zero(levi_civita(n, o, 0, q)(0, 0, 2),
1156 "levi_civita(n,o,0,q)(0,0,2)");
1157 test_for_zero(levi_civita(n, o, 0, q)(0, 0, 3),
1158 "levi_civita(n,o,0,q)(0,0,3)");
1159 test_for_zero(levi_civita(n, o, 0, q)(0, 1, 0),
1160 "levi_civita(n,o,0,q)(0,1,0)");
1161 test_for_zero(levi_civita(n, o, 0, q)(0, 1, 1),
1162 "levi_civita(n,o,0,q)(0,1,1)");
1163 test_for_zero(levi_civita(n, o, 0, q)(0, 1, 2),
1164 "levi_civita(n,o,0,q)(0,1,2)");
1165 test_for_zero(levi_civita(n, o, 0, q)(0, 1, 3),
1166 "levi_civita(n,o,0,q)(0,1,3)");
1167 test_for_zero(levi_civita(n, o, 0, q)(0, 2, 0),
1168 "levi_civita(n,o,0,q)(0,2,0)");
1169 test_for_zero(levi_civita(n, o, 0, q)(0, 2, 1),
1170 "levi_civita(n,o,0,q)(0,2,1)");
1171 test_for_zero(levi_civita(n, o, 0, q)(0, 2, 2),
1172 "levi_civita(n,o,0,q)(0,2,2)");
1173 test_for_zero(levi_civita(n, o, 0, q)(0, 2, 3),
1174 "levi_civita(n,o,0,q)(0,2,3)");
1175 test_for_zero(levi_civita(n, o, 0, q)(0, 3, 0),
1176 "levi_civita(n,o,0,q)(0,3,0)");
1177 test_for_zero(levi_civita(n, o, 0, q)(0, 3, 1),
1178 "levi_civita(n,o,0,q)(0,3,1)");
1179 test_for_zero(levi_civita(n, o, 0, q)(0, 3, 2),
1180 "levi_civita(n,o,0,q)(0,3,2)");
1181 test_for_zero(levi_civita(n, o, 0, q)(0, 3, 3),
1182 "levi_civita(n,o,0,q)(0,3,3)");
1183 test_for_zero(levi_civita(n, o, 0, q)(1, 0, 0),
1184 "levi_civita(n,o,0,q)(1,0,0)");
1185 test_for_zero(levi_civita(n, o, 0, q)(1, 0, 1),
1186 "levi_civita(n,o,0,q)(1,0,1)");
1187 test_for_zero(levi_civita(n, o, 0, q)(1, 0, 2),
1188 "levi_civita(n,o,0,q)(1,0,2)");
1189 test_for_zero(levi_civita(n, o, 0, q)(1, 0, 3),
1190 "levi_civita(n,o,0,q)(1,0,3)");
1191 test_for_zero(levi_civita(n, o, 0, q)(1, 1, 0),
1192 "levi_civita(n,o,0,q)(1,1,0)");
1193 test_for_zero(levi_civita(n, o, 0, q)(1, 1, 1),
1194 "levi_civita(n,o,0,q)(1,1,1)");
1195 test_for_zero(levi_civita(n, o, 0, q)(1, 1, 2),
1196 "levi_civita(n,o,0,q)(1,1,2)");
1197 test_for_zero(levi_civita(n, o, 0, q)(1, 1, 3),
1198 "levi_civita(n,o,0,q)(1,1,3)");
1199 test_for_zero(levi_civita(n, o, 0, q)(1, 2, 0),
1200 "levi_civita(n,o,0,q)(1,2,0)");
1201 test_for_zero(levi_civita(n, o, 0, q)(1, 2, 1),
1202 "levi_civita(n,o,0,q)(1,2,1)");
1203 test_for_zero(levi_civita(n, o, 0, q)(1, 2, 2),
1204 "levi_civita(n,o,0,q)(1,2,2)");
1205 test_for_zero(levi_civita(n, o, 0, q)(1, 2, 3) - 1,
1206 "levi_civita(n,o,0,q)(1,2,3)");
1207 test_for_zero(levi_civita(n, o, 0, q)(1, 3, 0),
1208 "levi_civita(n,o,0,q)(1,3,0)");
1209 test_for_zero(levi_civita(n, o, 0, q)(1, 3, 1),
1210 "levi_civita(n,o,0,q)(1,3,1)");
1211 test_for_zero(levi_civita(n, o, 0, q)(1, 3, 2) + 1,
1212 "levi_civita(n,o,0,q)(1,3,2)");
1213 test_for_zero(levi_civita(n, o, 0, q)(1, 3, 3),
1214 "levi_civita(n,o,0,q)(1,3,3)");
1215 test_for_zero(levi_civita(n, o, 0, q)(2, 0, 0),
1216 "levi_civita(n,o,0,q)(2,0,0)");
1217 test_for_zero(levi_civita(n, o, 0, q)(2, 0, 1),
1218 "levi_civita(n,o,0,q)(2,0,1)");
1219 test_for_zero(levi_civita(n, o, 0, q)(2, 0, 2),
1220 "levi_civita(n,o,0,q)(2,0,2)");
1221 test_for_zero(levi_civita(n, o, 0, q)(2, 0, 3),
1222 "levi_civita(n,o,0,q)(2,0,3)");
1223 test_for_zero(levi_civita(n, o, 0, q)(2, 1, 0),
1224 "levi_civita(n,o,0,q)(2,1,0)");
1225 test_for_zero(levi_civita(n, o, 0, q)(2, 1, 1),
1226 "levi_civita(n,o,0,q)(2,1,1)");
1227 test_for_zero(levi_civita(n, o, 0, q)(2, 1, 2),
1228 "levi_civita(n,o,0,q)(2,1,2)");
1229 test_for_zero(levi_civita(n, o, 0, q)(2, 1, 3) + 1,
1230 "levi_civita(n,o,0,q)(2,1,3)");
1231 test_for_zero(levi_civita(n, o, 0, q)(2, 2, 0),
1232 "levi_civita(n,o,0,q)(2,2,0)");
1233 test_for_zero(levi_civita(n, o, 0, q)(2, 2, 1),
1234 "levi_civita(n,o,0,q)(2,2,1)");
1235 test_for_zero(levi_civita(n, o, 0, q)(2, 2, 2),
1236 "levi_civita(n,o,0,q)(2,2,2)");
1237 test_for_zero(levi_civita(n, o, 0, q)(2, 2, 3),
1238 "levi_civita(n,o,0,q)(2,2,3)");
1239 test_for_zero(levi_civita(n, o, 0, q)(2, 3, 0),
1240 "levi_civita(n,o,0,q)(2,3,0)");
1241 test_for_zero(levi_civita(n, o, 0, q)(2, 3, 1) - 1,
1242 "levi_civita(n,o,0,q)(2,3,1)");
1243 test_for_zero(levi_civita(n, o, 0, q)(2, 3, 2),
1244 "levi_civita(n,o,0,q)(2,3,2)");
1245 test_for_zero(levi_civita(n, o, 0, q)(2, 3, 3),
1246 "levi_civita(n,o,0,q)(2,3,3)");
1247 test_for_zero(levi_civita(n, o, 0, q)(3, 0, 0),
1248 "levi_civita(n,o,0,q)(3,0,0)");
1249 test_for_zero(levi_civita(n, o, 0, q)(3, 0, 1),
1250 "levi_civita(n,o,0,q)(3,0,1)");
1251 test_for_zero(levi_civita(n, o, 0, q)(3, 0, 2),
1252 "levi_civita(n,o,0,q)(3,0,2)");
1253 test_for_zero(levi_civita(n, o, 0, q)(3, 0, 3),
1254 "levi_civita(n,o,0,q)(3,0,3)");
1255 test_for_zero(levi_civita(n, o, 0, q)(3, 1, 0),
1256 "levi_civita(n,o,0,q)(3,1,0)");
1257 test_for_zero(levi_civita(n, o, 0, q)(3, 1, 1),
1258 "levi_civita(n,o,0,q)(3,1,1)");
1259 test_for_zero(levi_civita(n, o, 0, q)(3, 1, 2) - 1,
1260 "levi_civita(n,o,0,q)(3,1,2)");
1261 test_for_zero(levi_civita(n, o, 0, q)(3, 1, 3),
1262 "levi_civita(n,o,0,q)(3,1,3)");
1263 test_for_zero(levi_civita(n, o, 0, q)(3, 2, 0),
1264 "levi_civita(n,o,0,q)(3,2,0)");
1265 test_for_zero(levi_civita(n, o, 0, q)(3, 2, 1) + 1,
1266 "levi_civita(n,o,0,q)(3,2,1)");
1267 test_for_zero(levi_civita(n, o, 0, q)(3, 2, 2),
1268 "levi_civita(n,o,0,q)(3,2,2)");
1269 test_for_zero(levi_civita(n, o, 0, q)(3, 2, 3),
1270 "levi_civita(n,o,0,q)(3,2,3)");
1271 test_for_zero(levi_civita(n, o, 0, q)(3, 3, 0),
1272 "levi_civita(n,o,0,q)(3,3,0)");
1273 test_for_zero(levi_civita(n, o, 0, q)(3, 3, 1),
1274 "levi_civita(n,o,0,q)(3,3,1)");
1275 test_for_zero(levi_civita(n, o, 0, q)(3, 3, 2),
1276 "levi_civita(n,o,0,q)(3,3,2)");
1277 test_for_zero(levi_civita(n, o, 0, q)(3, 3, 3),
1278 "levi_civita(n,o,0,q)(3,3,3)");
1279
1280 test_for_zero(levi_civita(n, o, 1, q)(0, 0, 0),
1281 "levi_civita(n,o,1,q)(0,0,0)");
1282 test_for_zero(levi_civita(n, o, 1, q)(0, 0, 1),
1283 "levi_civita(n,o,1,q)(0,0,1)");
1284 test_for_zero(levi_civita(n, o, 1, q)(0, 0, 2),
1285 "levi_civita(n,o,1,q)(0,0,2)");
1286 test_for_zero(levi_civita(n, o, 1, q)(0, 0, 3),
1287 "levi_civita(n,o,1,q)(0,0,3)");
1288 test_for_zero(levi_civita(n, o, 1, q)(0, 1, 0),
1289 "levi_civita(n,o,1,q)(0,1,0)");
1290 test_for_zero(levi_civita(n, o, 1, q)(0, 1, 1),
1291 "levi_civita(n,o,1,q)(0,1,1)");
1292 test_for_zero(levi_civita(n, o, 1, q)(0, 1, 2),
1293 "levi_civita(n,o,1,q)(0,1,2)");
1294 test_for_zero(levi_civita(n, o, 1, q)(0, 1, 3),
1295 "levi_civita(n,o,1,q)(0,1,3)");
1296 test_for_zero(levi_civita(n, o, 1, q)(0, 2, 0),
1297 "levi_civita(n,o,1,q)(0,2,0)");
1298 test_for_zero(levi_civita(n, o, 1, q)(0, 2, 1),
1299 "levi_civita(n,o,1,q)(0,2,1)");
1300 test_for_zero(levi_civita(n, o, 1, q)(0, 2, 2),
1301 "levi_civita(n,o,1,q)(0,2,2)");
1302 test_for_zero(levi_civita(n, o, 1, q)(0, 2, 3) + 1,
1303 "levi_civita(n,o,1,q)(0,2,3)");
1304 test_for_zero(levi_civita(n, o, 1, q)(0, 3, 0),
1305 "levi_civita(n,o,1,q)(0,3,0)");
1306 test_for_zero(levi_civita(n, o, 1, q)(0, 3, 1),
1307 "levi_civita(n,o,1,q)(0,3,1)");
1308 test_for_zero(levi_civita(n, o, 1, q)(0, 3, 2) - 1,
1309 "levi_civita(n,o,1,q)(0,3,2)");
1310 test_for_zero(levi_civita(n, o, 1, q)(0, 3, 3),
1311 "levi_civita(n,o,1,q)(0,3,3)");
1312 test_for_zero(levi_civita(n, o, 1, q)(1, 0, 0),
1313 "levi_civita(n,o,1,q)(1,0,0)");
1314 test_for_zero(levi_civita(n, o, 1, q)(1, 0, 1),
1315 "levi_civita(n,o,1,q)(1,0,1)");
1316 test_for_zero(levi_civita(n, o, 1, q)(1, 0, 2),
1317 "levi_civita(n,o,1,q)(1,0,2)");
1318 test_for_zero(levi_civita(n, o, 1, q)(1, 0, 3),
1319 "levi_civita(n,o,1,q)(1,0,3)");
1320 test_for_zero(levi_civita(n, o, 1, q)(1, 1, 0),
1321 "levi_civita(n,o,1,q)(1,1,0)");
1322 test_for_zero(levi_civita(n, o, 1, q)(1, 1, 1),
1323 "levi_civita(n,o,1,q)(1,1,1)");
1324 test_for_zero(levi_civita(n, o, 1, q)(1, 1, 2),
1325 "levi_civita(n,o,1,q)(1,1,2)");
1326 test_for_zero(levi_civita(n, o, 1, q)(1, 1, 3),
1327 "levi_civita(n,o,1,q)(1,1,3)");
1328 test_for_zero(levi_civita(n, o, 1, q)(1, 2, 0),
1329 "levi_civita(n,o,1,q)(1,2,0)");
1330 test_for_zero(levi_civita(n, o, 1, q)(1, 2, 1),
1331 "levi_civita(n,o,1,q)(1,2,1)");
1332 test_for_zero(levi_civita(n, o, 1, q)(1, 2, 2),
1333 "levi_civita(n,o,1,q)(1,2,2)");
1334 test_for_zero(levi_civita(n, o, 1, q)(1, 2, 3),
1335 "levi_civita(n,o,1,q)(1,2,3)");
1336 test_for_zero(levi_civita(n, o, 1, q)(1, 3, 0),
1337 "levi_civita(n,o,1,q)(1,3,0)");
1338 test_for_zero(levi_civita(n, o, 1, q)(1, 3, 1),
1339 "levi_civita(n,o,1,q)(1,3,1)");
1340 test_for_zero(levi_civita(n, o, 1, q)(1, 3, 2),
1341 "levi_civita(n,o,1,q)(1,3,2)");
1342 test_for_zero(levi_civita(n, o, 1, q)(1, 3, 3),
1343 "levi_civita(n,o,1,q)(1,3,3)");
1344 test_for_zero(levi_civita(n, o, 1, q)(2, 0, 0),
1345 "levi_civita(n,o,1,q)(2,0,0)");
1346 test_for_zero(levi_civita(n, o, 1, q)(2, 0, 1),
1347 "levi_civita(n,o,1,q)(2,0,1)");
1348 test_for_zero(levi_civita(n, o, 1, q)(2, 0, 2),
1349 "levi_civita(n,o,1,q)(2,0,2)");
1350 test_for_zero(levi_civita(n, o, 1, q)(2, 0, 3) - 1,
1351 "levi_civita(n,o,1,q)(2,0,3)");
1352 test_for_zero(levi_civita(n, o, 1, q)(2, 1, 0),
1353 "levi_civita(n,o,1,q)(2,1,0)");
1354 test_for_zero(levi_civita(n, o, 1, q)(2, 1, 1),
1355 "levi_civita(n,o,1,q)(2,1,1)");
1356 test_for_zero(levi_civita(n, o, 1, q)(2, 1, 2),
1357 "levi_civita(n,o,1,q)(2,1,2)");
1358 test_for_zero(levi_civita(n, o, 1, q)(2, 1, 3),
1359 "levi_civita(n,o,1,q)(2,1,3)");
1360 test_for_zero(levi_civita(n, o, 1, q)(2, 2, 0),
1361 "levi_civita(n,o,1,q)(2,2,0)");
1362 test_for_zero(levi_civita(n, o, 1, q)(2, 2, 1),
1363 "levi_civita(n,o,1,q)(2,2,1)");
1364 test_for_zero(levi_civita(n, o, 1, q)(2, 2, 2),
1365 "levi_civita(n,o,1,q)(2,2,2)");
1366 test_for_zero(levi_civita(n, o, 1, q)(2, 2, 3),
1367 "levi_civita(n,o,1,q)(2,2,3)");
1368 test_for_zero(levi_civita(n, o, 1, q)(2, 3, 0) + 1,
1369 "levi_civita(n,o,1,q)(2,3,0)");
1370 test_for_zero(levi_civita(n, o, 1, q)(2, 3, 1),
1371 "levi_civita(n,o,1,q)(2,3,1)");
1372 test_for_zero(levi_civita(n, o, 1, q)(2, 3, 2),
1373 "levi_civita(n,o,1,q)(2,3,2)");
1374 test_for_zero(levi_civita(n, o, 1, q)(2, 3, 3),
1375 "levi_civita(n,o,1,q)(2,3,3)");
1376 test_for_zero(levi_civita(n, o, 1, q)(3, 0, 0),
1377 "levi_civita(n,o,1,q)(3,0,0)");
1378 test_for_zero(levi_civita(n, o, 1, q)(3, 0, 1),
1379 "levi_civita(n,o,1,q)(3,0,1)");
1380 test_for_zero(levi_civita(n, o, 1, q)(3, 0, 2) + 1,
1381 "levi_civita(n,o,1,q)(3,0,2)");
1382 test_for_zero(levi_civita(n, o, 1, q)(3, 0, 3),
1383 "levi_civita(n,o,1,q)(3,0,3)");
1384 test_for_zero(levi_civita(n, o, 1, q)(3, 1, 0),
1385 "levi_civita(n,o,1,q)(3,1,0)");
1386 test_for_zero(levi_civita(n, o, 1, q)(3, 1, 1),
1387 "levi_civita(n,o,1,q)(3,1,1)");
1388 test_for_zero(levi_civita(n, o, 1, q)(3, 1, 2),
1389 "levi_civita(n,o,1,q)(3,1,2)");
1390 test_for_zero(levi_civita(n, o, 1, q)(3, 1, 3),
1391 "levi_civita(n,o,1,q)(3,1,3)");
1392 test_for_zero(levi_civita(n, o, 1, q)(3, 2, 0) - 1,
1393 "levi_civita(n,o,1,q)(3,2,0)");
1394 test_for_zero(levi_civita(n, o, 1, q)(3, 2, 1),
1395 "levi_civita(n,o,1,q)(3,2,1)");
1396 test_for_zero(levi_civita(n, o, 1, q)(3, 2, 2),
1397 "levi_civita(n,o,1,q)(3,2,2)");
1398 test_for_zero(levi_civita(n, o, 1, q)(3, 2, 3),
1399 "levi_civita(n,o,1,q)(3,2,3)");
1400 test_for_zero(levi_civita(n, o, 1, q)(3, 3, 0),
1401 "levi_civita(n,o,1,q)(3,3,0)");
1402 test_for_zero(levi_civita(n, o, 1, q)(3, 3, 1),
1403 "levi_civita(n,o,1,q)(3,3,1)");
1404 test_for_zero(levi_civita(n, o, 1, q)(3, 3, 2),
1405 "levi_civita(n,o,1,q)(3,3,2)");
1406 test_for_zero(levi_civita(n, o, 1, q)(3, 3, 3),
1407 "levi_civita(n,o,1,q)(3,3,3)");
1408
1409 test_for_zero(levi_civita(n, o, 2, q)(0, 0, 0),
1410 "levi_civita(n,o,2,q)(0,0,0)");
1411 test_for_zero(levi_civita(n, o, 2, q)(0, 0, 1),
1412 "levi_civita(n,o,2,q)(0,0,1)");
1413 test_for_zero(levi_civita(n, o, 2, q)(0, 0, 2),
1414 "levi_civita(n,o,2,q)(0,0,2)");
1415 test_for_zero(levi_civita(n, o, 2, q)(0, 0, 3),
1416 "levi_civita(n,o,2,q)(0,0,3)");
1417 test_for_zero(levi_civita(n, o, 2, q)(0, 1, 0),
1418 "levi_civita(n,o,2,q)(0,1,0)");
1419 test_for_zero(levi_civita(n, o, 2, q)(0, 1, 1),
1420 "levi_civita(n,o,2,q)(0,1,1)");
1421 test_for_zero(levi_civita(n, o, 2, q)(0, 1, 2),
1422 "levi_civita(n,o,2,q)(0,1,2)");
1423 test_for_zero(levi_civita(n, o, 2, q)(0, 1, 3) - 1,
1424 "levi_civita(n,o,2,q)(0,1,3)");
1425 test_for_zero(levi_civita(n, o, 2, q)(0, 2, 0),
1426 "levi_civita(n,o,2,q)(0,2,0)");
1427 test_for_zero(levi_civita(n, o, 2, q)(0, 2, 1),
1428 "levi_civita(n,o,2,q)(0,2,1)");
1429 test_for_zero(levi_civita(n, o, 2, q)(0, 2, 2),
1430 "levi_civita(n,o,2,q)(0,2,2)");
1431 test_for_zero(levi_civita(n, o, 2, q)(0, 2, 3),
1432 "levi_civita(n,o,2,q)(0,2,3)");
1433 test_for_zero(levi_civita(n, o, 2, q)(0, 3, 0),
1434 "levi_civita(n,o,2,q)(0,3,0)");
1435 test_for_zero(levi_civita(n, o, 2, q)(0, 3, 1) + 1,
1436 "levi_civita(n,o,2,q)(0,3,1)");
1437 test_for_zero(levi_civita(n, o, 2, q)(0, 3, 2),
1438 "levi_civita(n,o,2,q)(0,3,2)");
1439 test_for_zero(levi_civita(n, o, 2, q)(0, 3, 3),
1440 "levi_civita(n,o,2,q)(0,3,3)");
1441 test_for_zero(levi_civita(n, o, 2, q)(1, 0, 0),
1442 "levi_civita(n,o,2,q)(1,0,0)");
1443 test_for_zero(levi_civita(n, o, 2, q)(1, 0, 1),
1444 "levi_civita(n,o,2,q)(1,0,1)");
1445 test_for_zero(levi_civita(n, o, 2, q)(1, 0, 2),
1446 "levi_civita(n,o,2,q)(1,0,2)");
1447 test_for_zero(levi_civita(n, o, 2, q)(1, 0, 3) + 1,
1448 "levi_civita(n,o,2,q)(1,0,3)");
1449 test_for_zero(levi_civita(n, o, 2, q)(1, 1, 0),
1450 "levi_civita(n,o,2,q)(1,1,0)");
1451 test_for_zero(levi_civita(n, o, 2, q)(1, 1, 1),
1452 "levi_civita(n,o,2,q)(1,1,1)");
1453 test_for_zero(levi_civita(n, o, 2, q)(1, 1, 2),
1454 "levi_civita(n,o,2,q)(1,1,2)");
1455 test_for_zero(levi_civita(n, o, 2, q)(1, 1, 3),
1456 "levi_civita(n,o,2,q)(1,1,3)");
1457 test_for_zero(levi_civita(n, o, 2, q)(1, 2, 0),
1458 "levi_civita(n,o,2,q)(1,2,0)");
1459 test_for_zero(levi_civita(n, o, 2, q)(1, 2, 1),
1460 "levi_civita(n,o,2,q)(1,2,1)");
1461 test_for_zero(levi_civita(n, o, 2, q)(1, 2, 2),
1462 "levi_civita(n,o,2,q)(1,2,2)");
1463 test_for_zero(levi_civita(n, o, 2, q)(1, 2, 3),
1464 "levi_civita(n,o,2,q)(1,2,3)");
1465 test_for_zero(levi_civita(n, o, 2, q)(1, 3, 0) - 1,
1466 "levi_civita(n,o,2,q)(1,3,0)");
1467 test_for_zero(levi_civita(n, o, 2, q)(1, 3, 1),
1468 "levi_civita(n,o,2,q)(1,3,1)");
1469 test_for_zero(levi_civita(n, o, 2, q)(1, 3, 2),
1470 "levi_civita(n,o,2,q)(1,3,2)");
1471 test_for_zero(levi_civita(n, o, 2, q)(1, 3, 3),
1472 "levi_civita(n,o,2,q)(1,3,3)");
1473 test_for_zero(levi_civita(n, o, 2, q)(2, 0, 0),
1474 "levi_civita(n,o,2,q)(2,0,0)");
1475 test_for_zero(levi_civita(n, o, 2, q)(2, 0, 1),
1476 "levi_civita(n,o,2,q)(2,0,1)");
1477 test_for_zero(levi_civita(n, o, 2, q)(2, 0, 2),
1478 "levi_civita(n,o,2,q)(2,0,2)");
1479 test_for_zero(levi_civita(n, o, 2, q)(2, 0, 3),
1480 "levi_civita(n,o,2,q)(2,0,3)");
1481 test_for_zero(levi_civita(n, o, 2, q)(2, 1, 0),
1482 "levi_civita(n,o,2,q)(2,1,0)");
1483 test_for_zero(levi_civita(n, o, 2, q)(2, 1, 1),
1484 "levi_civita(n,o,2,q)(2,1,1)");
1485 test_for_zero(levi_civita(n, o, 2, q)(2, 1, 2),
1486 "levi_civita(n,o,2,q)(2,1,2)");
1487 test_for_zero(levi_civita(n, o, 2, q)(2, 1, 3),
1488 "levi_civita(n,o,2,q)(2,1,3)");
1489 test_for_zero(levi_civita(n, o, 2, q)(2, 2, 0),
1490 "levi_civita(n,o,2,q)(2,2,0)");
1491 test_for_zero(levi_civita(n, o, 2, q)(2, 2, 1),
1492 "levi_civita(n,o,2,q)(2,2,1)");
1493 test_for_zero(levi_civita(n, o, 2, q)(2, 2, 2),
1494 "levi_civita(n,o,2,q)(2,2,2)");
1495 test_for_zero(levi_civita(n, o, 2, q)(2, 2, 3),
1496 "levi_civita(n,o,2,q)(2,2,3)");
1497 test_for_zero(levi_civita(n, o, 2, q)(2, 3, 0),
1498 "levi_civita(n,o,2,q)(2,3,0)");
1499 test_for_zero(levi_civita(n, o, 2, q)(2, 3, 1),
1500 "levi_civita(n,o,2,q)(2,3,1)");
1501 test_for_zero(levi_civita(n, o, 2, q)(2, 3, 2),
1502 "levi_civita(n,o,2,q)(2,3,2)");
1503 test_for_zero(levi_civita(n, o, 2, q)(2, 3, 3),
1504 "levi_civita(n,o,2,q)(2,3,3)");
1505 test_for_zero(levi_civita(n, o, 2, q)(3, 0, 0),
1506 "levi_civita(n,o,2,q)(3,0,0)");
1507 test_for_zero(levi_civita(n, o, 2, q)(3, 0, 1) - 1,
1508 "levi_civita(n,o,2,q)(3,0,1)");
1509 test_for_zero(levi_civita(n, o, 2, q)(3, 0, 2),
1510 "levi_civita(n,o,2,q)(3,0,2)");
1511 test_for_zero(levi_civita(n, o, 2, q)(3, 0, 3),
1512 "levi_civita(n,o,2,q)(3,0,3)");
1513 test_for_zero(levi_civita(n, o, 2, q)(3, 1, 0) + 1,
1514 "levi_civita(n,o,2,q)(3,1,0)");
1515 test_for_zero(levi_civita(n, o, 2, q)(3, 1, 1),
1516 "levi_civita(n,o,2,q)(3,1,1)");
1517 test_for_zero(levi_civita(n, o, 2, q)(3, 1, 2),
1518 "levi_civita(n,o,2,q)(3,1,2)");
1519 test_for_zero(levi_civita(n, o, 2, q)(3, 1, 3),
1520 "levi_civita(n,o,2,q)(3,1,3)");
1521 test_for_zero(levi_civita(n, o, 2, q)(3, 2, 0),
1522 "levi_civita(n,o,2,q)(3,2,0)");
1523 test_for_zero(levi_civita(n, o, 2, q)(3, 2, 1),
1524 "levi_civita(n,o,2,q)(3,2,1)");
1525 test_for_zero(levi_civita(n, o, 2, q)(3, 2, 2),
1526 "levi_civita(n,o,2,q)(3,2,2)");
1527 test_for_zero(levi_civita(n, o, 2, q)(3, 2, 3),
1528 "levi_civita(n,o,2,q)(3,2,3)");
1529 test_for_zero(levi_civita(n, o, 2, q)(3, 3, 0),
1530 "levi_civita(n,o,2,q)(3,3,0)");
1531 test_for_zero(levi_civita(n, o, 2, q)(3, 3, 1),
1532 "levi_civita(n,o,2,q)(3,3,1)");
1533 test_for_zero(levi_civita(n, o, 2, q)(3, 3, 2),
1534 "levi_civita(n,o,2,q)(3,3,2)");
1535 test_for_zero(levi_civita(n, o, 2, q)(3, 3, 3),
1536 "levi_civita(n,o,2,q)(3,3,3)");
1537
1538 test_for_zero(levi_civita(n, o, 3, q)(0, 0, 0),
1539 "levi_civita(n,o,3,q)(0,0,0)");
1540 test_for_zero(levi_civita(n, o, 3, q)(0, 0, 1),
1541 "levi_civita(n,o,3,q)(0,0,1)");
1542 test_for_zero(levi_civita(n, o, 3, q)(0, 0, 2),
1543 "levi_civita(n,o,3,q)(0,0,2)");
1544 test_for_zero(levi_civita(n, o, 3, q)(0, 0, 3),
1545 "levi_civita(n,o,3,q)(0,0,3)");
1546 test_for_zero(levi_civita(n, o, 3, q)(0, 1, 0),
1547 "levi_civita(n,o,3,q)(0,1,0)");
1548 test_for_zero(levi_civita(n, o, 3, q)(0, 1, 1),
1549 "levi_civita(n,o,3,q)(0,1,1)");
1550 test_for_zero(levi_civita(n, o, 3, q)(0, 1, 2) + 1,
1551 "levi_civita(n,o,3,q)(0,1,2)");
1552 test_for_zero(levi_civita(n, o, 3, q)(0, 1, 3),
1553 "levi_civita(n,o,3,q)(0,1,3)");
1554 test_for_zero(levi_civita(n, o, 3, q)(0, 2, 0),
1555 "levi_civita(n,o,3,q)(0,2,0)");
1556 test_for_zero(levi_civita(n, o, 3, q)(0, 2, 1) - 1,
1557 "levi_civita(n,o,3,q)(0,2,1)");
1558 test_for_zero(levi_civita(n, o, 3, q)(0, 2, 2),
1559 "levi_civita(n,o,3,q)(0,2,2)");
1560 test_for_zero(levi_civita(n, o, 3, q)(0, 2, 3),
1561 "levi_civita(n,o,3,q)(0,2,3)");
1562 test_for_zero(levi_civita(n, o, 3, q)(0, 3, 0),
1563 "levi_civita(n,o,3,q)(0,3,0)");
1564 test_for_zero(levi_civita(n, o, 3, q)(0, 3, 1),
1565 "levi_civita(n,o,3,q)(0,3,1)");
1566 test_for_zero(levi_civita(n, o, 3, q)(0, 3, 2),
1567 "levi_civita(n,o,3,q)(0,3,2)");
1568 test_for_zero(levi_civita(n, o, 3, q)(0, 3, 3),
1569 "levi_civita(n,o,3,q)(0,3,3)");
1570 test_for_zero(levi_civita(n, o, 3, q)(1, 0, 0),
1571 "levi_civita(n,o,3,q)(1,0,0)");
1572 test_for_zero(levi_civita(n, o, 3, q)(1, 0, 1),
1573 "levi_civita(n,o,3,q)(1,0,1)");
1574 test_for_zero(levi_civita(n, o, 3, q)(1, 0, 2) - 1,
1575 "levi_civita(n,o,3,q)(1,0,2)");
1576 test_for_zero(levi_civita(n, o, 3, q)(1, 0, 3),
1577 "levi_civita(n,o,3,q)(1,0,3)");
1578 test_for_zero(levi_civita(n, o, 3, q)(1, 1, 0),
1579 "levi_civita(n,o,3,q)(1,1,0)");
1580 test_for_zero(levi_civita(n, o, 3, q)(1, 1, 1),
1581 "levi_civita(n,o,3,q)(1,1,1)");
1582 test_for_zero(levi_civita(n, o, 3, q)(1, 1, 2),
1583 "levi_civita(n,o,3,q)(1,1,2)");
1584 test_for_zero(levi_civita(n, o, 3, q)(1, 1, 3),
1585 "levi_civita(n,o,3,q)(1,1,3)");
1586 test_for_zero(levi_civita(n, o, 3, q)(1, 2, 0) + 1,
1587 "levi_civita(n,o,3,q)(1,2,0)");
1588 test_for_zero(levi_civita(n, o, 3, q)(1, 2, 1),
1589 "levi_civita(n,o,3,q)(1,2,1)");
1590 test_for_zero(levi_civita(n, o, 3, q)(1, 2, 2),
1591 "levi_civita(n,o,3,q)(1,2,2)");
1592 test_for_zero(levi_civita(n, o, 3, q)(1, 2, 3),
1593 "levi_civita(n,o,3,q)(1,2,3)");
1594 test_for_zero(levi_civita(n, o, 3, q)(1, 3, 0),
1595 "levi_civita(n,o,3,q)(1,3,0)");
1596 test_for_zero(levi_civita(n, o, 3, q)(1, 3, 1),
1597 "levi_civita(n,o,3,q)(1,3,1)");
1598 test_for_zero(levi_civita(n, o, 3, q)(1, 3, 2),
1599 "levi_civita(n,o,3,q)(1,3,2)");
1600 test_for_zero(levi_civita(n, o, 3, q)(1, 3, 3),
1601 "levi_civita(n,o,3,q)(1,3,3)");
1602 test_for_zero(levi_civita(n, o, 3, q)(2, 0, 0),
1603 "levi_civita(n,o,3,q)(2,0,0)");
1604 test_for_zero(levi_civita(n, o, 3, q)(2, 0, 1) + 1,
1605 "levi_civita(n,o,3,q)(2,0,1)");
1606 test_for_zero(levi_civita(n, o, 3, q)(2, 0, 2),
1607 "levi_civita(n,o,3,q)(2,0,2)");
1608 test_for_zero(levi_civita(n, o, 3, q)(2, 0, 3),
1609 "levi_civita(n,o,3,q)(2,0,3)");
1610 test_for_zero(levi_civita(n, o, 3, q)(2, 1, 0) - 1,
1611 "levi_civita(n,o,3,q)(2,1,0)");
1612 test_for_zero(levi_civita(n, o, 3, q)(2, 1, 1),
1613 "levi_civita(n,o,3,q)(2,1,1)");
1614 test_for_zero(levi_civita(n, o, 3, q)(2, 1, 2),
1615 "levi_civita(n,o,3,q)(2,1,2)");
1616 test_for_zero(levi_civita(n, o, 3, q)(2, 1, 3),
1617 "levi_civita(n,o,3,q)(2,1,3)");
1618 test_for_zero(levi_civita(n, o, 3, q)(2, 2, 0),
1619 "levi_civita(n,o,3,q)(2,2,0)");
1620 test_for_zero(levi_civita(n, o, 3, q)(2, 2, 1),
1621 "levi_civita(n,o,3,q)(2,2,1)");
1622 test_for_zero(levi_civita(n, o, 3, q)(2, 2, 2),
1623 "levi_civita(n,o,3,q)(2,2,2)");
1624 test_for_zero(levi_civita(n, o, 3, q)(2, 2, 3),
1625 "levi_civita(n,o,3,q)(2,2,3)");
1626 test_for_zero(levi_civita(n, o, 3, q)(2, 3, 0),
1627 "levi_civita(n,o,3,q)(2,3,0)");
1628 test_for_zero(levi_civita(n, o, 3, q)(2, 3, 1),
1629 "levi_civita(n,o,3,q)(2,3,1)");
1630 test_for_zero(levi_civita(n, o, 3, q)(2, 3, 2),
1631 "levi_civita(n,o,3,q)(2,3,2)");
1632 test_for_zero(levi_civita(n, o, 3, q)(2, 3, 3),
1633 "levi_civita(n,o,3,q)(2,3,3)");
1634 test_for_zero(levi_civita(n, o, 3, q)(3, 0, 0),
1635 "levi_civita(n,o,3,q)(3,0,0)");
1636 test_for_zero(levi_civita(n, o, 3, q)(3, 0, 1),
1637 "levi_civita(n,o,3,q)(3,0,1)");
1638 test_for_zero(levi_civita(n, o, 3, q)(3, 0, 2),
1639 "levi_civita(n,o,3,q)(3,0,2)");
1640 test_for_zero(levi_civita(n, o, 3, q)(3, 0, 3),
1641 "levi_civita(n,o,3,q)(3,0,3)");
1642 test_for_zero(levi_civita(n, o, 3, q)(3, 1, 0),
1643 "levi_civita(n,o,3,q)(3,1,0)");
1644 test_for_zero(levi_civita(n, o, 3, q)(3, 1, 1),
1645 "levi_civita(n,o,3,q)(3,1,1)");
1646 test_for_zero(levi_civita(n, o, 3, q)(3, 1, 2),
1647 "levi_civita(n,o,3,q)(3,1,2)");
1648 test_for_zero(levi_civita(n, o, 3, q)(3, 1, 3),
1649 "levi_civita(n,o,3,q)(3,1,3)");
1650 test_for_zero(levi_civita(n, o, 3, q)(3, 2, 0),
1651 "levi_civita(n,o,3,q)(3,2,0)");
1652 test_for_zero(levi_civita(n, o, 3, q)(3, 2, 1),
1653 "levi_civita(n,o,3,q)(3,2,1)");
1654 test_for_zero(levi_civita(n, o, 3, q)(3, 2, 2),
1655 "levi_civita(n,o,3,q)(3,2,2)");
1656 test_for_zero(levi_civita(n, o, 3, q)(3, 2, 3),
1657 "levi_civita(n,o,3,q)(3,2,3)");
1658 test_for_zero(levi_civita(n, o, 3, q)(3, 3, 0),
1659 "levi_civita(n,o,3,q)(3,3,0)");
1660 test_for_zero(levi_civita(n, o, 3, q)(3, 3, 1),
1661 "levi_civita(n,o,3,q)(3,3,1)");
1662 test_for_zero(levi_civita(n, o, 3, q)(3, 3, 2),
1663 "levi_civita(n,o,3,q)(3,3,2)");
1664 test_for_zero(levi_civita(n, o, 3, q)(3, 3, 3),
1665 "levi_civita(n,o,3,q)(3,3,3)");
1666
1667 test_for_zero(levi_civita(n, o, p, 0)(0, 0, 0),
1668 "levi_civita(n,o,p,0)(0,0,0)");
1669 test_for_zero(levi_civita(n, o, p, 0)(0, 0, 1),
1670 "levi_civita(n,o,p,0)(0,0,1)");
1671 test_for_zero(levi_civita(n, o, p, 0)(0, 0, 2),
1672 "levi_civita(n,o,p,0)(0,0,2)");
1673 test_for_zero(levi_civita(n, o, p, 0)(0, 0, 3),
1674 "levi_civita(n,o,p,0)(0,0,3)");
1675 test_for_zero(levi_civita(n, o, p, 0)(0, 1, 0),
1676 "levi_civita(n,o,p,0)(0,1,0)");
1677 test_for_zero(levi_civita(n, o, p, 0)(0, 1, 1),
1678 "levi_civita(n,o,p,0)(0,1,1)");
1679 test_for_zero(levi_civita(n, o, p, 0)(0, 1, 2),
1680 "levi_civita(n,o,p,0)(0,1,2)");
1681 test_for_zero(levi_civita(n, o, p, 0)(0, 1, 3),
1682 "levi_civita(n,o,p,0)(0,1,3)");
1683 test_for_zero(levi_civita(n, o, p, 0)(0, 2, 0),
1684 "levi_civita(n,o,p,0)(0,2,0)");
1685 test_for_zero(levi_civita(n, o, p, 0)(0, 2, 1),
1686 "levi_civita(n,o,p,0)(0,2,1)");
1687 test_for_zero(levi_civita(n, o, p, 0)(0, 2, 2),
1688 "levi_civita(n,o,p,0)(0,2,2)");
1689 test_for_zero(levi_civita(n, o, p, 0)(0, 2, 3),
1690 "levi_civita(n,o,p,0)(0,2,3)");
1691 test_for_zero(levi_civita(n, o, p, 0)(0, 3, 0),
1692 "levi_civita(n,o,p,0)(0,3,0)");
1693 test_for_zero(levi_civita(n, o, p, 0)(0, 3, 1),
1694 "levi_civita(n,o,p,0)(0,3,1)");
1695 test_for_zero(levi_civita(n, o, p, 0)(0, 3, 2),
1696 "levi_civita(n,o,p,0)(0,3,2)");
1697 test_for_zero(levi_civita(n, o, p, 0)(0, 3, 3),
1698 "levi_civita(n,o,p,0)(0,3,3)");
1699 test_for_zero(levi_civita(n, o, p, 0)(1, 0, 0),
1700 "levi_civita(n,o,p,0)(1,0,0)");
1701 test_for_zero(levi_civita(n, o, p, 0)(1, 0, 1),
1702 "levi_civita(n,o,p,0)(1,0,1)");
1703 test_for_zero(levi_civita(n, o, p, 0)(1, 0, 2),
1704 "levi_civita(n,o,p,0)(1,0,2)");
1705 test_for_zero(levi_civita(n, o, p, 0)(1, 0, 3),
1706 "levi_civita(n,o,p,0)(1,0,3)");
1707 test_for_zero(levi_civita(n, o, p, 0)(1, 1, 0),
1708 "levi_civita(n,o,p,0)(1,1,0)");
1709 test_for_zero(levi_civita(n, o, p, 0)(1, 1, 1),
1710 "levi_civita(n,o,p,0)(1,1,1)");
1711 test_for_zero(levi_civita(n, o, p, 0)(1, 1, 2),
1712 "levi_civita(n,o,p,0)(1,1,2)");
1713 test_for_zero(levi_civita(n, o, p, 0)(1, 1, 3),
1714 "levi_civita(n,o,p,0)(1,1,3)");
1715 test_for_zero(levi_civita(n, o, p, 0)(1, 2, 0),
1716 "levi_civita(n,o,p,0)(1,2,0)");
1717 test_for_zero(levi_civita(n, o, p, 0)(1, 2, 1),
1718 "levi_civita(n,o,p,0)(1,2,1)");
1719 test_for_zero(levi_civita(n, o, p, 0)(1, 2, 2),
1720 "levi_civita(n,o,p,0)(1,2,2)");
1721 test_for_zero(levi_civita(n, o, p, 0)(1, 2, 3) + 1,
1722 "levi_civita(n,o,p,0)(1,2,3)");
1723 test_for_zero(levi_civita(n, o, p, 0)(1, 3, 0),
1724 "levi_civita(n,o,p,0)(1,3,0)");
1725 test_for_zero(levi_civita(n, o, p, 0)(1, 3, 1),
1726 "levi_civita(n,o,p,0)(1,3,1)");
1727 test_for_zero(levi_civita(n, o, p, 0)(1, 3, 2) - 1,
1728 "levi_civita(n,o,p,0)(1,3,2)");
1729 test_for_zero(levi_civita(n, o, p, 0)(1, 3, 3),
1730 "levi_civita(n,o,p,0)(1,3,3)");
1731 test_for_zero(levi_civita(n, o, p, 0)(2, 0, 0),
1732 "levi_civita(n,o,p,0)(2,0,0)");
1733 test_for_zero(levi_civita(n, o, p, 0)(2, 0, 1),
1734 "levi_civita(n,o,p,0)(2,0,1)");
1735 test_for_zero(levi_civita(n, o, p, 0)(2, 0, 2),
1736 "levi_civita(n,o,p,0)(2,0,2)");
1737 test_for_zero(levi_civita(n, o, p, 0)(2, 0, 3),
1738 "levi_civita(n,o,p,0)(2,0,3)");
1739 test_for_zero(levi_civita(n, o, p, 0)(2, 1, 0),
1740 "levi_civita(n,o,p,0)(2,1,0)");
1741 test_for_zero(levi_civita(n, o, p, 0)(2, 1, 1),
1742 "levi_civita(n,o,p,0)(2,1,1)");
1743 test_for_zero(levi_civita(n, o, p, 0)(2, 1, 2),
1744 "levi_civita(n,o,p,0)(2,1,2)");
1745 test_for_zero(levi_civita(n, o, p, 0)(2, 1, 3) - 1,
1746 "levi_civita(n,o,p,0)(2,1,3)");
1747 test_for_zero(levi_civita(n, o, p, 0)(2, 2, 0),
1748 "levi_civita(n,o,p,0)(2,2,0)");
1749 test_for_zero(levi_civita(n, o, p, 0)(2, 2, 1),
1750 "levi_civita(n,o,p,0)(2,2,1)");
1751 test_for_zero(levi_civita(n, o, p, 0)(2, 2, 2),
1752 "levi_civita(n,o,p,0)(2,2,2)");
1753 test_for_zero(levi_civita(n, o, p, 0)(2, 2, 3),
1754 "levi_civita(n,o,p,0)(2,2,3)");
1755 test_for_zero(levi_civita(n, o, p, 0)(2, 3, 0),
1756 "levi_civita(n,o,p,0)(2,3,0)");
1757 test_for_zero(levi_civita(n, o, p, 0)(2, 3, 1) + 1,
1758 "levi_civita(n,o,p,0)(2,3,1)");
1759 test_for_zero(levi_civita(n, o, p, 0)(2, 3, 2),
1760 "levi_civita(n,o,p,0)(2,3,2)");
1761 test_for_zero(levi_civita(n, o, p, 0)(2, 3, 3),
1762 "levi_civita(n,o,p,0)(2,3,3)");
1763 test_for_zero(levi_civita(n, o, p, 0)(3, 0, 0),
1764 "levi_civita(n,o,p,0)(3,0,0)");
1765 test_for_zero(levi_civita(n, o, p, 0)(3, 0, 1),
1766 "levi_civita(n,o,p,0)(3,0,1)");
1767 test_for_zero(levi_civita(n, o, p, 0)(3, 0, 2),
1768 "levi_civita(n,o,p,0)(3,0,2)");
1769 test_for_zero(levi_civita(n, o, p, 0)(3, 0, 3),
1770 "levi_civita(n,o,p,0)(3,0,3)");
1771 test_for_zero(levi_civita(n, o, p, 0)(3, 1, 0),
1772 "levi_civita(n,o,p,0)(3,1,0)");
1773 test_for_zero(levi_civita(n, o, p, 0)(3, 1, 1),
1774 "levi_civita(n,o,p,0)(3,1,1)");
1775 test_for_zero(levi_civita(n, o, p, 0)(3, 1, 2) + 1,
1776 "levi_civita(n,o,p,0)(3,1,2)");
1777 test_for_zero(levi_civita(n, o, p, 0)(3, 1, 3),
1778 "levi_civita(n,o,p,0)(3,1,3)");
1779 test_for_zero(levi_civita(n, o, p, 0)(3, 2, 0),
1780 "levi_civita(n,o,p,0)(3,2,0)");
1781 test_for_zero(levi_civita(n, o, p, 0)(3, 2, 1) - 1,
1782 "levi_civita(n,o,p,0)(3,2,1)");
1783 test_for_zero(levi_civita(n, o, p, 0)(3, 2, 2),
1784 "levi_civita(n,o,p,0)(3,2,2)");
1785 test_for_zero(levi_civita(n, o, p, 0)(3, 2, 3),
1786 "levi_civita(n,o,p,0)(3,2,3)");
1787 test_for_zero(levi_civita(n, o, p, 0)(3, 3, 0),
1788 "levi_civita(n,o,p,0)(3,3,0)");
1789 test_for_zero(levi_civita(n, o, p, 0)(3, 3, 1),
1790 "levi_civita(n,o,p,0)(3,3,1)");
1791 test_for_zero(levi_civita(n, o, p, 0)(3, 3, 2),
1792 "levi_civita(n,o,p,0)(3,3,2)");
1793 test_for_zero(levi_civita(n, o, p, 0)(3, 3, 3),
1794 "levi_civita(n,o,p,0)(3,3,3)");
1795
1796 test_for_zero(levi_civita(n, o, p, 1)(0, 0, 0),
1797 "levi_civita(n,o,p,1)(0,0,0)");
1798 test_for_zero(levi_civita(n, o, p, 1)(0, 0, 1),
1799 "levi_civita(n,o,p,1)(0,0,1)");
1800 test_for_zero(levi_civita(n, o, p, 1)(0, 0, 2),
1801 "levi_civita(n,o,p,1)(0,0,2)");
1802 test_for_zero(levi_civita(n, o, p, 1)(0, 0, 3),
1803 "levi_civita(n,o,p,1)(0,0,3)");
1804 test_for_zero(levi_civita(n, o, p, 1)(0, 1, 0),
1805 "levi_civita(n,o,p,1)(0,1,0)");
1806 test_for_zero(levi_civita(n, o, p, 1)(0, 1, 1),
1807 "levi_civita(n,o,p,1)(0,1,1)");
1808 test_for_zero(levi_civita(n, o, p, 1)(0, 1, 2),
1809 "levi_civita(n,o,p,1)(0,1,2)");
1810 test_for_zero(levi_civita(n, o, p, 1)(0, 1, 3),
1811 "levi_civita(n,o,p,1)(0,1,3)");
1812 test_for_zero(levi_civita(n, o, p, 1)(0, 2, 0),
1813 "levi_civita(n,o,p,1)(0,2,0)");
1814 test_for_zero(levi_civita(n, o, p, 1)(0, 2, 1),
1815 "levi_civita(n,o,p,1)(0,2,1)");
1816 test_for_zero(levi_civita(n, o, p, 1)(0, 2, 2),
1817 "levi_civita(n,o,p,1)(0,2,2)");
1818 test_for_zero(levi_civita(n, o, p, 1)(0, 2, 3) - 1,
1819 "levi_civita(n,o,p,1)(0,2,3)");
1820 test_for_zero(levi_civita(n, o, p, 1)(0, 3, 0),
1821 "levi_civita(n,o,p,1)(0,3,0)");
1822 test_for_zero(levi_civita(n, o, p, 1)(0, 3, 1),
1823 "levi_civita(n,o,p,1)(0,3,1)");
1824 test_for_zero(levi_civita(n, o, p, 1)(0, 3, 2) + 1,
1825 "levi_civita(n,o,p,1)(0,3,2)");
1826 test_for_zero(levi_civita(n, o, p, 1)(0, 3, 3),
1827 "levi_civita(n,o,p,1)(0,3,3)");
1828 test_for_zero(levi_civita(n, o, p, 1)(1, 0, 0),
1829 "levi_civita(n,o,p,1)(1,0,0)");
1830 test_for_zero(levi_civita(n, o, p, 1)(1, 0, 1),
1831 "levi_civita(n,o,p,1)(1,0,1)");
1832 test_for_zero(levi_civita(n, o, p, 1)(1, 0, 2),
1833 "levi_civita(n,o,p,1)(1,0,2)");
1834 test_for_zero(levi_civita(n, o, p, 1)(1, 0, 3),
1835 "levi_civita(n,o,p,1)(1,0,3)");
1836 test_for_zero(levi_civita(n, o, p, 1)(1, 1, 0),
1837 "levi_civita(n,o,p,1)(1,1,0)");
1838 test_for_zero(levi_civita(n, o, p, 1)(1, 1, 1),
1839 "levi_civita(n,o,p,1)(1,1,1)");
1840 test_for_zero(levi_civita(n, o, p, 1)(1, 1, 2),
1841 "levi_civita(n,o,p,1)(1,1,2)");
1842 test_for_zero(levi_civita(n, o, p, 1)(1, 1, 3),
1843 "levi_civita(n,o,p,1)(1,1,3)");
1844 test_for_zero(levi_civita(n, o, p, 1)(1, 2, 0),
1845 "levi_civita(n,o,p,1)(1,2,0)");
1846 test_for_zero(levi_civita(n, o, p, 1)(1, 2, 1),
1847 "levi_civita(n,o,p,1)(1,2,1)");
1848 test_for_zero(levi_civita(n, o, p, 1)(1, 2, 2),
1849 "levi_civita(n,o,p,1)(1,2,2)");
1850 test_for_zero(levi_civita(n, o, p, 1)(1, 2, 3),
1851 "levi_civita(n,o,p,1)(1,2,3)");
1852 test_for_zero(levi_civita(n, o, p, 1)(1, 3, 0),
1853 "levi_civita(n,o,p,1)(1,3,0)");
1854 test_for_zero(levi_civita(n, o, p, 1)(1, 3, 1),
1855 "levi_civita(n,o,p,1)(1,3,1)");
1856 test_for_zero(levi_civita(n, o, p, 1)(1, 3, 2),
1857 "levi_civita(n,o,p,1)(1,3,2)");
1858 test_for_zero(levi_civita(n, o, p, 1)(1, 3, 3),
1859 "levi_civita(n,o,p,1)(1,3,3)");
1860 test_for_zero(levi_civita(n, o, p, 1)(2, 0, 0),
1861 "levi_civita(n,o,p,1)(2,0,0)");
1862 test_for_zero(levi_civita(n, o, p, 1)(2, 0, 1),
1863 "levi_civita(n,o,p,1)(2,0,1)");
1864 test_for_zero(levi_civita(n, o, p, 1)(2, 0, 2),
1865 "levi_civita(n,o,p,1)(2,0,2)");
1866 test_for_zero(levi_civita(n, o, p, 1)(2, 0, 3) + 1,
1867 "levi_civita(n,o,p,1)(2,0,3)");
1868 test_for_zero(levi_civita(n, o, p, 1)(2, 1, 0),
1869 "levi_civita(n,o,p,1)(2,1,0)");
1870 test_for_zero(levi_civita(n, o, p, 1)(2, 1, 1),
1871 "levi_civita(n,o,p,1)(2,1,1)");
1872 test_for_zero(levi_civita(n, o, p, 1)(2, 1, 2),
1873 "levi_civita(n,o,p,1)(2,1,2)");
1874 test_for_zero(levi_civita(n, o, p, 1)(2, 1, 3),
1875 "levi_civita(n,o,p,1)(2,1,3)");
1876 test_for_zero(levi_civita(n, o, p, 1)(2, 2, 0),
1877 "levi_civita(n,o,p,1)(2,2,0)");
1878 test_for_zero(levi_civita(n, o, p, 1)(2, 2, 1),
1879 "levi_civita(n,o,p,1)(2,2,1)");
1880 test_for_zero(levi_civita(n, o, p, 1)(2, 2, 2),
1881 "levi_civita(n,o,p,1)(2,2,2)");
1882 test_for_zero(levi_civita(n, o, p, 1)(2, 2, 3),
1883 "levi_civita(n,o,p,1)(2,2,3)");
1884 test_for_zero(levi_civita(n, o, p, 1)(2, 3, 0) - 1,
1885 "levi_civita(n,o,p,1)(2,3,0)");
1886 test_for_zero(levi_civita(n, o, p, 1)(2, 3, 1),
1887 "levi_civita(n,o,p,1)(2,3,1)");
1888 test_for_zero(levi_civita(n, o, p, 1)(2, 3, 2),
1889 "levi_civita(n,o,p,1)(2,3,2)");
1890 test_for_zero(levi_civita(n, o, p, 1)(2, 3, 3),
1891 "levi_civita(n,o,p,1)(2,3,3)");
1892 test_for_zero(levi_civita(n, o, p, 1)(3, 0, 0),
1893 "levi_civita(n,o,p,1)(3,0,0)");
1894 test_for_zero(levi_civita(n, o, p, 1)(3, 0, 1),
1895 "levi_civita(n,o,p,1)(3,0,1)");
1896 test_for_zero(levi_civita(n, o, p, 1)(3, 0, 2) - 1,
1897 "levi_civita(n,o,p,1)(3,0,2)");
1898 test_for_zero(levi_civita(n, o, p, 1)(3, 0, 3),
1899 "levi_civita(n,o,p,1)(3,0,3)");
1900 test_for_zero(levi_civita(n, o, p, 1)(3, 1, 0),
1901 "levi_civita(n,o,p,1)(3,1,0)");
1902 test_for_zero(levi_civita(n, o, p, 1)(3, 1, 1),
1903 "levi_civita(n,o,p,1)(3,1,1)");
1904 test_for_zero(levi_civita(n, o, p, 1)(3, 1, 2),
1905 "levi_civita(n,o,p,1)(3,1,2)");
1906 test_for_zero(levi_civita(n, o, p, 1)(3, 1, 3),
1907 "levi_civita(n,o,p,1)(3,1,3)");
1908 test_for_zero(levi_civita(n, o, p, 1)(3, 2, 0) + 1,
1909 "levi_civita(n,o,p,1)(3,2,0)");
1910 test_for_zero(levi_civita(n, o, p, 1)(3, 2, 1),
1911 "levi_civita(n,o,p,1)(3,2,1)");
1912 test_for_zero(levi_civita(n, o, p, 1)(3, 2, 2),
1913 "levi_civita(n,o,p,1)(3,2,2)");
1914 test_for_zero(levi_civita(n, o, p, 1)(3, 2, 3),
1915 "levi_civita(n,o,p,1)(3,2,3)");
1916 test_for_zero(levi_civita(n, o, p, 1)(3, 3, 0),
1917 "levi_civita(n,o,p,1)(3,3,0)");
1918 test_for_zero(levi_civita(n, o, p, 1)(3, 3, 1),
1919 "levi_civita(n,o,p,1)(3,3,1)");
1920 test_for_zero(levi_civita(n, o, p, 1)(3, 3, 2),
1921 "levi_civita(n,o,p,1)(3,3,2)");
1922 test_for_zero(levi_civita(n, o, p, 1)(3, 3, 3),
1923 "levi_civita(n,o,p,1)(3,3,3)");
1924
1925 test_for_zero(levi_civita(n, o, p, 2)(0, 0, 0),
1926 "levi_civita(n,o,p,2)(0,0,0)");
1927 test_for_zero(levi_civita(n, o, p, 2)(0, 0, 1),
1928 "levi_civita(n,o,p,2)(0,0,1)");
1929 test_for_zero(levi_civita(n, o, p, 2)(0, 0, 2),
1930 "levi_civita(n,o,p,2)(0,0,2)");
1931 test_for_zero(levi_civita(n, o, p, 2)(0, 0, 3),
1932 "levi_civita(n,o,p,2)(0,0,3)");
1933 test_for_zero(levi_civita(n, o, p, 2)(0, 1, 0),
1934 "levi_civita(n,o,p,2)(0,1,0)");
1935 test_for_zero(levi_civita(n, o, p, 2)(0, 1, 1),
1936 "levi_civita(n,o,p,2)(0,1,1)");
1937 test_for_zero(levi_civita(n, o, p, 2)(0, 1, 2),
1938 "levi_civita(n,o,p,2)(0,1,2)");
1939 test_for_zero(levi_civita(n, o, p, 2)(0, 1, 3) + 1,
1940 "levi_civita(n,o,p,2)(0,1,3)");
1941 test_for_zero(levi_civita(n, o, p, 2)(0, 2, 0),
1942 "levi_civita(n,o,p,2)(0,2,0)");
1943 test_for_zero(levi_civita(n, o, p, 2)(0, 2, 1),
1944 "levi_civita(n,o,p,2)(0,2,1)");
1945 test_for_zero(levi_civita(n, o, p, 2)(0, 2, 2),
1946 "levi_civita(n,o,p,2)(0,2,2)");
1947 test_for_zero(levi_civita(n, o, p, 2)(0, 2, 3),
1948 "levi_civita(n,o,p,2)(0,2,3)");
1949 test_for_zero(levi_civita(n, o, p, 2)(0, 3, 0),
1950 "levi_civita(n,o,p,2)(0,3,0)");
1951 test_for_zero(levi_civita(n, o, p, 2)(0, 3, 1) - 1,
1952 "levi_civita(n,o,p,2)(0,3,1)");
1953 test_for_zero(levi_civita(n, o, p, 2)(0, 3, 2),
1954 "levi_civita(n,o,p,2)(0,3,2)");
1955 test_for_zero(levi_civita(n, o, p, 2)(0, 3, 3),
1956 "levi_civita(n,o,p,2)(0,3,3)");
1957 test_for_zero(levi_civita(n, o, p, 2)(1, 0, 0),
1958 "levi_civita(n,o,p,2)(1,0,0)");
1959 test_for_zero(levi_civita(n, o, p, 2)(1, 0, 1),
1960 "levi_civita(n,o,p,2)(1,0,1)");
1961 test_for_zero(levi_civita(n, o, p, 2)(1, 0, 2),
1962 "levi_civita(n,o,p,2)(1,0,2)");
1963 test_for_zero(levi_civita(n, o, p, 2)(1, 0, 3) - 1,
1964 "levi_civita(n,o,p,2)(1,0,3)");
1965 test_for_zero(levi_civita(n, o, p, 2)(1, 1, 0),
1966 "levi_civita(n,o,p,2)(1,1,0)");
1967 test_for_zero(levi_civita(n, o, p, 2)(1, 1, 1),
1968 "levi_civita(n,o,p,2)(1,1,1)");
1969 test_for_zero(levi_civita(n, o, p, 2)(1, 1, 2),
1970 "levi_civita(n,o,p,2)(1,1,2)");
1971 test_for_zero(levi_civita(n, o, p, 2)(1, 1, 3),
1972 "levi_civita(n,o,p,2)(1,1,3)");
1973 test_for_zero(levi_civita(n, o, p, 2)(1, 2, 0),
1974 "levi_civita(n,o,p,2)(1,2,0)");
1975 test_for_zero(levi_civita(n, o, p, 2)(1, 2, 1),
1976 "levi_civita(n,o,p,2)(1,2,1)");
1977 test_for_zero(levi_civita(n, o, p, 2)(1, 2, 2),
1978 "levi_civita(n,o,p,2)(1,2,2)");
1979 test_for_zero(levi_civita(n, o, p, 2)(1, 2, 3),
1980 "levi_civita(n,o,p,2)(1,2,3)");
1981 test_for_zero(levi_civita(n, o, p, 2)(1, 3, 0) + 1,
1982 "levi_civita(n,o,p,2)(1,3,0)");
1983 test_for_zero(levi_civita(n, o, p, 2)(1, 3, 1),
1984 "levi_civita(n,o,p,2)(1,3,1)");
1985 test_for_zero(levi_civita(n, o, p, 2)(1, 3, 2),
1986 "levi_civita(n,o,p,2)(1,3,2)");
1987 test_for_zero(levi_civita(n, o, p, 2)(1, 3, 3),
1988 "levi_civita(n,o,p,2)(1,3,3)");
1989 test_for_zero(levi_civita(n, o, p, 2)(2, 0, 0),
1990 "levi_civita(n,o,p,2)(2,0,0)");
1991 test_for_zero(levi_civita(n, o, p, 2)(2, 0, 1),
1992 "levi_civita(n,o,p,2)(2,0,1)");
1993 test_for_zero(levi_civita(n, o, p, 2)(2, 0, 2),
1994 "levi_civita(n,o,p,2)(2,0,2)");
1995 test_for_zero(levi_civita(n, o, p, 2)(2, 0, 3),
1996 "levi_civita(n,o,p,2)(2,0,3)");
1997 test_for_zero(levi_civita(n, o, p, 2)(2, 1, 0),
1998 "levi_civita(n,o,p,2)(2,1,0)");
1999 test_for_zero(levi_civita(n, o, p, 2)(2, 1, 1),
2000 "levi_civita(n,o,p,2)(2,1,1)");
2001 test_for_zero(levi_civita(n, o, p, 2)(2, 1, 2),
2002 "levi_civita(n,o,p,2)(2,1,2)");
2003 test_for_zero(levi_civita(n, o, p, 2)(2, 1, 3),
2004 "levi_civita(n,o,p,2)(2,1,3)");
2005 test_for_zero(levi_civita(n, o, p, 2)(2, 2, 0),
2006 "levi_civita(n,o,p,2)(2,2,0)");
2007 test_for_zero(levi_civita(n, o, p, 2)(2, 2, 1),
2008 "levi_civita(n,o,p,2)(2,2,1)");
2009 test_for_zero(levi_civita(n, o, p, 2)(2, 2, 2),
2010 "levi_civita(n,o,p,2)(2,2,2)");
2011 test_for_zero(levi_civita(n, o, p, 2)(2, 2, 3),
2012 "levi_civita(n,o,p,2)(2,2,3)");
2013 test_for_zero(levi_civita(n, o, p, 2)(2, 3, 0),
2014 "levi_civita(n,o,p,2)(2,3,0)");
2015 test_for_zero(levi_civita(n, o, p, 2)(2, 3, 1),
2016 "levi_civita(n,o,p,2)(2,3,1)");
2017 test_for_zero(levi_civita(n, o, p, 2)(2, 3, 2),
2018 "levi_civita(n,o,p,2)(2,3,2)");
2019 test_for_zero(levi_civita(n, o, p, 2)(2, 3, 3),
2020 "levi_civita(n,o,p,2)(2,3,3)");
2021 test_for_zero(levi_civita(n, o, p, 2)(3, 0, 0),
2022 "levi_civita(n,o,p,2)(3,0,0)");
2023 test_for_zero(levi_civita(n, o, p, 2)(3, 0, 1) + 1,
2024 "levi_civita(n,o,p,2)(3,0,1)");
2025 test_for_zero(levi_civita(n, o, p, 2)(3, 0, 2),
2026 "levi_civita(n,o,p,2)(3,0,2)");
2027 test_for_zero(levi_civita(n, o, p, 2)(3, 0, 3),
2028 "levi_civita(n,o,p,2)(3,0,3)");
2029 test_for_zero(levi_civita(n, o, p, 2)(3, 1, 0) - 1,
2030 "levi_civita(n,o,p,2)(3,1,0)");
2031 test_for_zero(levi_civita(n, o, p, 2)(3, 1, 1),
2032 "levi_civita(n,o,p,2)(3,1,1)");
2033 test_for_zero(levi_civita(n, o, p, 2)(3, 1, 2),
2034 "levi_civita(n,o,p,2)(3,1,2)");
2035 test_for_zero(levi_civita(n, o, p, 2)(3, 1, 3),
2036 "levi_civita(n,o,p,2)(3,1,3)");
2037 test_for_zero(levi_civita(n, o, p, 2)(3, 2, 0),
2038 "levi_civita(n,o,p,2)(3,2,0)");
2039 test_for_zero(levi_civita(n, o, p, 2)(3, 2, 1),
2040 "levi_civita(n,o,p,2)(3,2,1)");
2041 test_for_zero(levi_civita(n, o, p, 2)(3, 2, 2),
2042 "levi_civita(n,o,p,2)(3,2,2)");
2043 test_for_zero(levi_civita(n, o, p, 2)(3, 2, 3),
2044 "levi_civita(n,o,p,2)(3,2,3)");
2045 test_for_zero(levi_civita(n, o, p, 2)(3, 3, 0),
2046 "levi_civita(n,o,p,2)(3,3,0)");
2047 test_for_zero(levi_civita(n, o, p, 2)(3, 3, 1),
2048 "levi_civita(n,o,p,2)(3,3,1)");
2049 test_for_zero(levi_civita(n, o, p, 2)(3, 3, 2),
2050 "levi_civita(n,o,p,2)(3,3,2)");
2051 test_for_zero(levi_civita(n, o, p, 2)(3, 3, 3),
2052 "levi_civita(n,o,p,2)(3,3,3)");
2053
2054 test_for_zero(levi_civita(n, o, p, 3)(0, 0, 0),
2055 "levi_civita(n,o,p,3)(0,0,0)");
2056 test_for_zero(levi_civita(n, o, p, 3)(0, 0, 1),
2057 "levi_civita(n,o,p,3)(0,0,1)");
2058 test_for_zero(levi_civita(n, o, p, 3)(0, 0, 2),
2059 "levi_civita(n,o,p,3)(0,0,2)");
2060 test_for_zero(levi_civita(n, o, p, 3)(0, 0, 3),
2061 "levi_civita(n,o,p,3)(0,0,3)");
2062 test_for_zero(levi_civita(n, o, p, 3)(0, 1, 0),
2063 "levi_civita(n,o,p,3)(0,1,0)");
2064 test_for_zero(levi_civita(n, o, p, 3)(0, 1, 1),
2065 "levi_civita(n,o,p,3)(0,1,1)");
2066 test_for_zero(levi_civita(n, o, p, 3)(0, 1, 2) - 1,
2067 "levi_civita(n,o,p,3)(0,1,2)");
2068 test_for_zero(levi_civita(n, o, p, 3)(0, 1, 3),
2069 "levi_civita(n,o,p,3)(0,1,3)");
2070 test_for_zero(levi_civita(n, o, p, 3)(0, 2, 0),
2071 "levi_civita(n,o,p,3)(0,2,0)");
2072 test_for_zero(levi_civita(n, o, p, 3)(0, 2, 1) + 1,
2073 "levi_civita(n,o,p,3)(0,2,1)");
2074 test_for_zero(levi_civita(n, o, p, 3)(0, 2, 2),
2075 "levi_civita(n,o,p,3)(0,2,2)");
2076 test_for_zero(levi_civita(n, o, p, 3)(0, 2, 3),
2077 "levi_civita(n,o,p,3)(0,2,3)");
2078 test_for_zero(levi_civita(n, o, p, 3)(0, 3, 0),
2079 "levi_civita(n,o,p,3)(0,3,0)");
2080 test_for_zero(levi_civita(n, o, p, 3)(0, 3, 1),
2081 "levi_civita(n,o,p,3)(0,3,1)");
2082 test_for_zero(levi_civita(n, o, p, 3)(0, 3, 2),
2083 "levi_civita(n,o,p,3)(0,3,2)");
2084 test_for_zero(levi_civita(n, o, p, 3)(0, 3, 3),
2085 "levi_civita(n,o,p,3)(0,3,3)");
2086 test_for_zero(levi_civita(n, o, p, 3)(1, 0, 0),
2087 "levi_civita(n,o,p,3)(1,0,0)");
2088 test_for_zero(levi_civita(n, o, p, 3)(1, 0, 1),
2089 "levi_civita(n,o,p,3)(1,0,1)");
2090 test_for_zero(levi_civita(n, o, p, 3)(1, 0, 2) + 1,
2091 "levi_civita(n,o,p,3)(1,0,2)");
2092 test_for_zero(levi_civita(n, o, p, 3)(1, 0, 3),
2093 "levi_civita(n,o,p,3)(1,0,3)");
2094 test_for_zero(levi_civita(n, o, p, 3)(1, 1, 0),
2095 "levi_civita(n,o,p,3)(1,1,0)");
2096 test_for_zero(levi_civita(n, o, p, 3)(1, 1, 1),
2097 "levi_civita(n,o,p,3)(1,1,1)");
2098 test_for_zero(levi_civita(n, o, p, 3)(1, 1, 2),
2099 "levi_civita(n,o,p,3)(1,1,2)");
2100 test_for_zero(levi_civita(n, o, p, 3)(1, 1, 3),
2101 "levi_civita(n,o,p,3)(1,1,3)");
2102 test_for_zero(levi_civita(n, o, p, 3)(1, 2, 0) - 1,
2103 "levi_civita(n,o,p,3)(1,2,0)");
2104 test_for_zero(levi_civita(n, o, p, 3)(1, 2, 1),
2105 "levi_civita(n,o,p,3)(1,2,1)");
2106 test_for_zero(levi_civita(n, o, p, 3)(1, 2, 2),
2107 "levi_civita(n,o,p,3)(1,2,2)");
2108 test_for_zero(levi_civita(n, o, p, 3)(1, 2, 3),
2109 "levi_civita(n,o,p,3)(1,2,3)");
2110 test_for_zero(levi_civita(n, o, p, 3)(1, 3, 0),
2111 "levi_civita(n,o,p,3)(1,3,0)");
2112 test_for_zero(levi_civita(n, o, p, 3)(1, 3, 1),
2113 "levi_civita(n,o,p,3)(1,3,1)");
2114 test_for_zero(levi_civita(n, o, p, 3)(1, 3, 2),
2115 "levi_civita(n,o,p,3)(1,3,2)");
2116 test_for_zero(levi_civita(n, o, p, 3)(1, 3, 3),
2117 "levi_civita(n,o,p,3)(1,3,3)");
2118 test_for_zero(levi_civita(n, o, p, 3)(2, 0, 0),
2119 "levi_civita(n,o,p,3)(2,0,0)");
2120 test_for_zero(levi_civita(n, o, p, 3)(2, 0, 1) - 1,
2121 "levi_civita(n,o,p,3)(2,0,1)");
2122 test_for_zero(levi_civita(n, o, p, 3)(2, 0, 2),
2123 "levi_civita(n,o,p,3)(2,0,2)");
2124 test_for_zero(levi_civita(n, o, p, 3)(2, 0, 3),
2125 "levi_civita(n,o,p,3)(2,0,3)");
2126 test_for_zero(levi_civita(n, o, p, 3)(2, 1, 0) + 1,
2127 "levi_civita(n,o,p,3)(2,1,0)");
2128 test_for_zero(levi_civita(n, o, p, 3)(2, 1, 1),
2129 "levi_civita(n,o,p,3)(2,1,1)");
2130 test_for_zero(levi_civita(n, o, p, 3)(2, 1, 2),
2131 "levi_civita(n,o,p,3)(2,1,2)");
2132 test_for_zero(levi_civita(n, o, p, 3)(2, 1, 3),
2133 "levi_civita(n,o,p,3)(2,1,3)");
2134 test_for_zero(levi_civita(n, o, p, 3)(2, 2, 0),
2135 "levi_civita(n,o,p,3)(2,2,0)");
2136 test_for_zero(levi_civita(n, o, p, 3)(2, 2, 1),
2137 "levi_civita(n,o,p,3)(2,2,1)");
2138 test_for_zero(levi_civita(n, o, p, 3)(2, 2, 2),
2139 "levi_civita(n,o,p,3)(2,2,2)");
2140 test_for_zero(levi_civita(n, o, p, 3)(2, 2, 3),
2141 "levi_civita(n,o,p,3)(2,2,3)");
2142 test_for_zero(levi_civita(n, o, p, 3)(2, 3, 0),
2143 "levi_civita(n,o,p,3)(2,3,0)");
2144 test_for_zero(levi_civita(n, o, p, 3)(2, 3, 1),
2145 "levi_civita(n,o,p,3)(2,3,1)");
2146 test_for_zero(levi_civita(n, o, p, 3)(2, 3, 2),
2147 "levi_civita(n,o,p,3)(2,3,2)");
2148 test_for_zero(levi_civita(n, o, p, 3)(2, 3, 3),
2149 "levi_civita(n,o,p,3)(2,3,3)");
2150 test_for_zero(levi_civita(n, o, p, 3)(3, 0, 0),
2151 "levi_civita(n,o,p,3)(3,0,0)");
2152 test_for_zero(levi_civita(n, o, p, 3)(3, 0, 1),
2153 "levi_civita(n,o,p,3)(3,0,1)");
2154 test_for_zero(levi_civita(n, o, p, 3)(3, 0, 2),
2155 "levi_civita(n,o,p,3)(3,0,2)");
2156 test_for_zero(levi_civita(n, o, p, 3)(3, 0, 3),
2157 "levi_civita(n,o,p,3)(3,0,3)");
2158 test_for_zero(levi_civita(n, o, p, 3)(3, 1, 0),
2159 "levi_civita(n,o,p,3)(3,1,0)");
2160 test_for_zero(levi_civita(n, o, p, 3)(3, 1, 1),
2161 "levi_civita(n,o,p,3)(3,1,1)");
2162 test_for_zero(levi_civita(n, o, p, 3)(3, 1, 2),
2163 "levi_civita(n,o,p,3)(3,1,2)");
2164 test_for_zero(levi_civita(n, o, p, 3)(3, 1, 3),
2165 "levi_civita(n,o,p,3)(3,1,3)");
2166 test_for_zero(levi_civita(n, o, p, 3)(3, 2, 0),
2167 "levi_civita(n,o,p,3)(3,2,0)");
2168 test_for_zero(levi_civita(n, o, p, 3)(3, 2, 1),
2169 "levi_civita(n,o,p,3)(3,2,1)");
2170 test_for_zero(levi_civita(n, o, p, 3)(3, 2, 2),
2171 "levi_civita(n,o,p,3)(3,2,2)");
2172 test_for_zero(levi_civita(n, o, p, 3)(3, 2, 3),
2173 "levi_civita(n,o,p,3)(3,2,3)");
2174 test_for_zero(levi_civita(n, o, p, 3)(3, 3, 0),
2175 "levi_civita(n,o,p,3)(3,3,0)");
2176 test_for_zero(levi_civita(n, o, p, 3)(3, 3, 1),
2177 "levi_civita(n,o,p,3)(3,3,1)");
2178 test_for_zero(levi_civita(n, o, p, 3)(3, 3, 2),
2179 "levi_civita(n,o,p,3)(3,3,2)");
2180 test_for_zero(levi_civita(n, o, p, 3)(3, 3, 3),
2181 "levi_civita(n,o,p,3)(3,3,3)");
2182}

◆ test_Levi_Civita_03()

void test_Levi_Civita_03 ( void )

Definition at line 7 of file test_Levi_Civita_03.cpp.

8{
9 Index<'k', 3> k;
10 Index<'l', 3> l;
11 Index<'m', 3> m;
12
13 Index<'n', 4> n;
14 Index<'o', 4> o;
15 Index<'p', 4> p;
16 Index<'q', 4> q;
17
18 Number<0> N0;
19 Number<1> N1;
20 Number<2> N2;
21
22 /* Test Levi_Civita Rank 3 */
23 test_for_zero(levi_civita(0, 0, m)(0), "levi_civita(0,0,m)(0)");
24 test_for_zero(levi_civita(0, 0, m)(1), "levi_civita(0,0,m)(1)");
25 test_for_zero(levi_civita(0, 0, m)(2), "levi_civita(0,0,m)(2)");
26 test_for_zero(levi_civita(0, 1, m)(0), "levi_civita(0,1,m)(0)");
27 test_for_zero(levi_civita(0, 1, m)(1), "levi_civita(0,1,m)(1)");
28 test_for_zero(levi_civita(0, 1, m)(2) - 1, "levi_civita(0,1,m)(2)");
29 test_for_zero(levi_civita(0, 2, m)(0), "levi_civita(0,2,m)(0)");
30 test_for_zero(levi_civita(0, 2, m)(1) + 1, "levi_civita(0,2,m)(1)");
31 test_for_zero(levi_civita(0, 2, m)(2), "levi_civita(0,2,m)(2)");
32 test_for_zero(levi_civita(1, 0, m)(0), "levi_civita(1,0,m)(0)");
33 test_for_zero(levi_civita(1, 0, m)(1), "levi_civita(1,0,m)(1)");
34 test_for_zero(levi_civita(1, 0, m)(2) + 1, "levi_civita(1,0,m)(2)");
35 test_for_zero(levi_civita(1, 1, m)(0), "levi_civita(1,1,m)(0)");
36 test_for_zero(levi_civita(1, 1, m)(1), "levi_civita(1,1,m)(1)");
37 test_for_zero(levi_civita(1, 1, m)(2), "levi_civita(1,1,m)(2)");
38 test_for_zero(levi_civita(1, 2, m)(0) - 1, "levi_civita(1,2,m)(0)");
39 test_for_zero(levi_civita(1, 2, m)(1), "levi_civita(1,2,m)(1)");
40 test_for_zero(levi_civita(1, 2, m)(2), "levi_civita(1,2,m)(2)");
41 test_for_zero(levi_civita(2, 0, m)(0), "levi_civita(2,0,m)(0)");
42 test_for_zero(levi_civita(2, 0, m)(1) - 1, "levi_civita(2,0,m)(1)");
43 test_for_zero(levi_civita(2, 0, m)(2), "levi_civita(2,0,m)(2)");
44 test_for_zero(levi_civita(2, 1, m)(0) + 1, "levi_civita(2,1,m)(0)");
45 test_for_zero(levi_civita(2, 1, m)(1), "levi_civita(2,1,m)(1)");
46 test_for_zero(levi_civita(2, 1, m)(2), "levi_civita(2,1,m)(2)");
47 test_for_zero(levi_civita(2, 2, m)(0), "levi_civita(2,2,m)(0)");
48 test_for_zero(levi_civita(2, 2, m)(1), "levi_civita(2,2,m)(1)");
49 test_for_zero(levi_civita(2, 2, m)(2), "levi_civita(2,2,m)(2)");
50
51 test_for_zero(levi_civita(0, l, 0)(0), "levi_civita(0,l,0)(0)");
52 test_for_zero(levi_civita(0, l, 0)(1), "levi_civita(0,l,0)(1)");
53 test_for_zero(levi_civita(0, l, 0)(2), "levi_civita(0,l,0)(2)");
54 test_for_zero(levi_civita(0, l, 1)(0), "levi_civita(0,l,1)(0)");
55 test_for_zero(levi_civita(0, l, 1)(1), "levi_civita(0,l,1)(1)");
56 test_for_zero(levi_civita(0, l, 1)(2) + 1, "levi_civita(0,l,1)(2)");
57 test_for_zero(levi_civita(0, l, 2)(0), "levi_civita(0,l,2)(0)");
58 test_for_zero(levi_civita(0, l, 2)(1) - 1, "levi_civita(0,l,2)(1)");
59 test_for_zero(levi_civita(0, l, 2)(2), "levi_civita(0,l,2)(2)");
60 test_for_zero(levi_civita(1, l, 0)(0), "levi_civita(1,l,0)(0)");
61 test_for_zero(levi_civita(1, l, 0)(1), "levi_civita(1,l,0)(1)");
62 test_for_zero(levi_civita(1, l, 0)(2) - 1, "levi_civita(1,l,0)(2)");
63 test_for_zero(levi_civita(1, l, 1)(0), "levi_civita(1,l,1)(0)");
64 test_for_zero(levi_civita(1, l, 1)(1), "levi_civita(1,l,1)(1)");
65 test_for_zero(levi_civita(1, l, 1)(2), "levi_civita(1,l,1)(2)");
66 test_for_zero(levi_civita(1, l, 2)(0) + 1, "levi_civita(1,l,2)(0)");
67 test_for_zero(levi_civita(1, l, 2)(1), "levi_civita(1,l,2)(1)");
68 test_for_zero(levi_civita(1, l, 2)(2), "levi_civita(1,l,2)(2)");
69 test_for_zero(levi_civita(2, l, 0)(0), "levi_civita(2,l,0)(0)");
70 test_for_zero(levi_civita(2, l, 0)(1) + 1, "levi_civita(2,l,0)(1)");
71 test_for_zero(levi_civita(2, l, 0)(2), "levi_civita(2,l,0)(2)");
72 test_for_zero(levi_civita(2, l, 1)(0) - 1, "levi_civita(2,l,1)(0)");
73 test_for_zero(levi_civita(2, l, 1)(1), "levi_civita(2,l,1)(1)");
74 test_for_zero(levi_civita(2, l, 1)(2), "levi_civita(2,l,1)(2)");
75 test_for_zero(levi_civita(2, l, 2)(0), "levi_civita(2,l,2)(0)");
76 test_for_zero(levi_civita(2, l, 2)(1), "levi_civita(2,l,2)(1)");
77 test_for_zero(levi_civita(2, l, 2)(2), "levi_civita(2,l,2)(2)");
78
79 test_for_zero(levi_civita(k, 0, 0)(0), "levi_civita(k,0,0)(0)");
80 test_for_zero(levi_civita(k, 0, 0)(1), "levi_civita(k,0,0)(1)");
81 test_for_zero(levi_civita(k, 0, 0)(2), "levi_civita(k,0,0)(2)");
82 test_for_zero(levi_civita(k, 0, 1)(0), "levi_civita(k,0,1)(0)");
83 test_for_zero(levi_civita(k, 0, 1)(1), "levi_civita(k,0,1)(1)");
84 test_for_zero(levi_civita(k, 0, 1)(2) - 1, "levi_civita(k,0,1)(2)");
85 test_for_zero(levi_civita(k, 0, 2)(0), "levi_civita(k,0,2)(0)");
86 test_for_zero(levi_civita(k, 0, 2)(1) + 1, "levi_civita(k,0,2)(1)");
87 test_for_zero(levi_civita(k, 0, 2)(2), "levi_civita(k,0,2)(2)");
88 test_for_zero(levi_civita(k, 1, 0)(0), "levi_civita(k,1,0)(0)");
89 test_for_zero(levi_civita(k, 1, 0)(1), "levi_civita(k,1,0)(1)");
90 test_for_zero(levi_civita(k, 1, 0)(2) + 1, "levi_civita(k,1,0)(2)");
91 test_for_zero(levi_civita(k, 1, 1)(0), "levi_civita(k,1,1)(0)");
92 test_for_zero(levi_civita(k, 1, 1)(1), "levi_civita(k,1,1)(1)");
93 test_for_zero(levi_civita(k, 1, 1)(2), "levi_civita(k,1,1)(2)");
94 test_for_zero(levi_civita(k, 1, 2)(0) - 1, "levi_civita(k,1,2)(0)");
95 test_for_zero(levi_civita(k, 1, 2)(1), "levi_civita(k,1,2)(1)");
96 test_for_zero(levi_civita(k, 1, 2)(2), "levi_civita(k,1,2)(2)");
97 test_for_zero(levi_civita(k, 2, 0)(0), "levi_civita(k,2,0)(0)");
98 test_for_zero(levi_civita(k, 2, 0)(1) - 1, "levi_civita(k,2,0)(1)");
99 test_for_zero(levi_civita(k, 2, 0)(2), "levi_civita(k,2,0)(2)");
100 test_for_zero(levi_civita(k, 2, 1)(0) + 1, "levi_civita(k,2,1)(0)");
101 test_for_zero(levi_civita(k, 2, 1)(1), "levi_civita(k,2,1)(1)");
102 test_for_zero(levi_civita(k, 2, 1)(2), "levi_civita(k,2,1)(2)");
103 test_for_zero(levi_civita(k, 2, 2)(0), "levi_civita(k,2,2)(0)");
104 test_for_zero(levi_civita(k, 2, 2)(1), "levi_civita(k,2,2)(1)");
105 test_for_zero(levi_civita(k, 2, 2)(2), "levi_civita(k,2,2)(2)");
106
107 /* Test Levi_Civita Rank 4 */
108 test_for_zero(levi_civita(0, 0, p, q)(0, 0), "levi_civita(0,0,p,q)(0,0)");
109 test_for_zero(levi_civita(0, 0, p, q)(0, 1), "levi_civita(0,0,p,q)(0,1)");
110 test_for_zero(levi_civita(0, 0, p, q)(0, 2), "levi_civita(0,0,p,q)(0,2)");
111 test_for_zero(levi_civita(0, 0, p, q)(0, 3), "levi_civita(0,0,p,q)(0,3)");
112 test_for_zero(levi_civita(0, 0, p, q)(1, 0), "levi_civita(0,0,p,q)(1,0)");
113 test_for_zero(levi_civita(0, 0, p, q)(1, 1), "levi_civita(0,0,p,q)(1,1)");
114 test_for_zero(levi_civita(0, 0, p, q)(1, 2), "levi_civita(0,0,p,q)(1,2)");
115 test_for_zero(levi_civita(0, 0, p, q)(1, 3), "levi_civita(0,0,p,q)(1,3)");
116 test_for_zero(levi_civita(0, 0, p, q)(2, 0), "levi_civita(0,0,p,q)(2,0)");
117 test_for_zero(levi_civita(0, 0, p, q)(2, 1), "levi_civita(0,0,p,q)(2,1)");
118 test_for_zero(levi_civita(0, 0, p, q)(2, 2), "levi_civita(0,0,p,q)(2,2)");
119 test_for_zero(levi_civita(0, 0, p, q)(2, 3), "levi_civita(0,0,p,q)(2,3)");
120 test_for_zero(levi_civita(0, 0, p, q)(3, 0), "levi_civita(0,0,p,q)(3,0)");
121 test_for_zero(levi_civita(0, 0, p, q)(3, 1), "levi_civita(0,0,p,q)(3,1)");
122 test_for_zero(levi_civita(0, 0, p, q)(3, 2), "levi_civita(0,0,p,q)(3,2)");
123 test_for_zero(levi_civita(0, 0, p, q)(3, 3), "levi_civita(0,0,p,q)(3,3)");
124
125 test_for_zero(levi_civita(0, 1, p, q)(0, 0), "levi_civita(0,1,p,q)(0,0)");
126 test_for_zero(levi_civita(0, 1, p, q)(0, 1), "levi_civita(0,1,p,q)(0,1)");
127 test_for_zero(levi_civita(0, 1, p, q)(0, 2), "levi_civita(0,1,p,q)(0,2)");
128 test_for_zero(levi_civita(0, 1, p, q)(0, 3), "levi_civita(0,1,p,q)(0,3)");
129 test_for_zero(levi_civita(0, 1, p, q)(1, 0), "levi_civita(0,1,p,q)(1,0)");
130 test_for_zero(levi_civita(0, 1, p, q)(1, 1), "levi_civita(0,1,p,q)(1,1)");
131 test_for_zero(levi_civita(0, 1, p, q)(1, 2), "levi_civita(0,1,p,q)(1,2)");
132 test_for_zero(levi_civita(0, 1, p, q)(1, 3), "levi_civita(0,1,p,q)(1,3)");
133 test_for_zero(levi_civita(0, 1, p, q)(2, 0), "levi_civita(0,1,p,q)(2,0)");
134 test_for_zero(levi_civita(0, 1, p, q)(2, 1), "levi_civita(0,1,p,q)(2,1)");
135 test_for_zero(levi_civita(0, 1, p, q)(2, 2), "levi_civita(0,1,p,q)(2,2)");
136 test_for_zero(levi_civita(0, 1, p, q)(2, 3) - 1,
137 "levi_civita(0,1,p,q)(2,3)");
138 test_for_zero(levi_civita(0, 1, p, q)(3, 0), "levi_civita(0,1,p,q)(3,0)");
139 test_for_zero(levi_civita(0, 1, p, q)(3, 1), "levi_civita(0,1,p,q)(3,1)");
140 test_for_zero(levi_civita(0, 1, p, q)(3, 2) + 1,
141 "levi_civita(0,1,p,q)(3,2)");
142 test_for_zero(levi_civita(0, 1, p, q)(3, 3), "levi_civita(0,1,p,q)(3,3)");
143
144 test_for_zero(levi_civita(0, 2, p, q)(0, 0), "levi_civita(0,2,p,q)(0,0)");
145 test_for_zero(levi_civita(0, 2, p, q)(0, 1), "levi_civita(0,2,p,q)(0,1)");
146 test_for_zero(levi_civita(0, 2, p, q)(0, 2), "levi_civita(0,2,p,q)(0,2)");
147 test_for_zero(levi_civita(0, 2, p, q)(0, 3), "levi_civita(0,2,p,q)(0,3)");
148 test_for_zero(levi_civita(0, 2, p, q)(1, 0), "levi_civita(0,2,p,q)(1,0)");
149 test_for_zero(levi_civita(0, 2, p, q)(1, 1), "levi_civita(0,2,p,q)(1,1)");
150 test_for_zero(levi_civita(0, 2, p, q)(1, 2), "levi_civita(0,2,p,q)(1,2)");
151 test_for_zero(levi_civita(0, 2, p, q)(1, 3) + 1,
152 "levi_civita(0,2,p,q)(1,3)");
153 test_for_zero(levi_civita(0, 2, p, q)(2, 0), "levi_civita(0,2,p,q)(2,0)");
154 test_for_zero(levi_civita(0, 2, p, q)(2, 1), "levi_civita(0,2,p,q)(2,1)");
155 test_for_zero(levi_civita(0, 2, p, q)(2, 2), "levi_civita(0,2,p,q)(2,2)");
156 test_for_zero(levi_civita(0, 2, p, q)(2, 3), "levi_civita(0,2,p,q)(2,3)");
157 test_for_zero(levi_civita(0, 2, p, q)(3, 0), "levi_civita(0,2,p,q)(3,0)");
158 test_for_zero(levi_civita(0, 2, p, q)(3, 1) - 1,
159 "levi_civita(0,2,p,q)(3,1)");
160 test_for_zero(levi_civita(0, 2, p, q)(3, 2), "levi_civita(0,2,p,q)(3,2)");
161 test_for_zero(levi_civita(0, 2, p, q)(3, 3), "levi_civita(0,2,p,q)(3,3)");
162
163 test_for_zero(levi_civita(0, 3, p, q)(0, 0), "levi_civita(0,3,p,q)(0,0)");
164 test_for_zero(levi_civita(0, 3, p, q)(0, 1), "levi_civita(0,3,p,q)(0,1)");
165 test_for_zero(levi_civita(0, 3, p, q)(0, 2), "levi_civita(0,3,p,q)(0,2)");
166 test_for_zero(levi_civita(0, 3, p, q)(0, 3), "levi_civita(0,3,p,q)(0,3)");
167 test_for_zero(levi_civita(0, 3, p, q)(1, 0), "levi_civita(0,3,p,q)(1,0)");
168 test_for_zero(levi_civita(0, 3, p, q)(1, 1), "levi_civita(0,3,p,q)(1,1)");
169 test_for_zero(levi_civita(0, 3, p, q)(1, 2) - 1,
170 "levi_civita(0,3,p,q)(1,2)");
171 test_for_zero(levi_civita(0, 3, p, q)(1, 3), "levi_civita(0,3,p,q)(1,3)");
172 test_for_zero(levi_civita(0, 3, p, q)(2, 0), "levi_civita(0,3,p,q)(2,0)");
173 test_for_zero(levi_civita(0, 3, p, q)(2, 1) + 1,
174 "levi_civita(0,3,p,q)(2,1)");
175 test_for_zero(levi_civita(0, 3, p, q)(2, 2), "levi_civita(0,3,p,q)(2,2)");
176 test_for_zero(levi_civita(0, 3, p, q)(2, 3), "levi_civita(0,3,p,q)(2,3)");
177 test_for_zero(levi_civita(0, 3, p, q)(3, 0), "levi_civita(0,3,p,q)(3,0)");
178 test_for_zero(levi_civita(0, 3, p, q)(3, 1), "levi_civita(0,3,p,q)(3,1)");
179 test_for_zero(levi_civita(0, 3, p, q)(3, 2), "levi_civita(0,3,p,q)(3,2)");
180 test_for_zero(levi_civita(0, 3, p, q)(3, 3), "levi_civita(0,3,p,q)(3,3)");
181
182 test_for_zero(levi_civita(1, 0, p, q)(0, 0), "levi_civita(1,0,p,q)(0,0)");
183 test_for_zero(levi_civita(1, 0, p, q)(0, 1), "levi_civita(1,0,p,q)(0,1)");
184 test_for_zero(levi_civita(1, 0, p, q)(0, 2), "levi_civita(1,0,p,q)(0,2)");
185 test_for_zero(levi_civita(1, 0, p, q)(0, 3), "levi_civita(1,0,p,q)(0,3)");
186 test_for_zero(levi_civita(1, 0, p, q)(1, 0), "levi_civita(1,0,p,q)(1,0)");
187 test_for_zero(levi_civita(1, 0, p, q)(1, 1), "levi_civita(1,0,p,q)(1,1)");
188 test_for_zero(levi_civita(1, 0, p, q)(1, 2), "levi_civita(1,0,p,q)(1,2)");
189 test_for_zero(levi_civita(1, 0, p, q)(1, 3), "levi_civita(1,0,p,q)(1,3)");
190 test_for_zero(levi_civita(1, 0, p, q)(2, 0), "levi_civita(1,0,p,q)(2,0)");
191 test_for_zero(levi_civita(1, 0, p, q)(2, 1), "levi_civita(1,0,p,q)(2,1)");
192 test_for_zero(levi_civita(1, 0, p, q)(2, 2), "levi_civita(1,0,p,q)(2,2)");
193 test_for_zero(levi_civita(1, 0, p, q)(2, 3) + 1,
194 "levi_civita(1,0,p,q)(2,3)");
195 test_for_zero(levi_civita(1, 0, p, q)(3, 0), "levi_civita(1,0,p,q)(3,0)");
196 test_for_zero(levi_civita(1, 0, p, q)(3, 1), "levi_civita(1,0,p,q)(3,1)");
197 test_for_zero(levi_civita(1, 0, p, q)(3, 2) - 1,
198 "levi_civita(1,0,p,q)(3,2)");
199 test_for_zero(levi_civita(1, 0, p, q)(3, 3), "levi_civita(1,0,p,q)(3,3)");
200
201 test_for_zero(levi_civita(1, 1, p, q)(0, 0), "levi_civita(1,1,p,q)(0,0)");
202 test_for_zero(levi_civita(1, 1, p, q)(0, 1), "levi_civita(1,1,p,q)(0,1)");
203 test_for_zero(levi_civita(1, 1, p, q)(0, 2), "levi_civita(1,1,p,q)(0,2)");
204 test_for_zero(levi_civita(1, 1, p, q)(0, 3), "levi_civita(1,1,p,q)(0,3)");
205 test_for_zero(levi_civita(1, 1, p, q)(1, 0), "levi_civita(1,1,p,q)(1,0)");
206 test_for_zero(levi_civita(1, 1, p, q)(1, 1), "levi_civita(1,1,p,q)(1,1)");
207 test_for_zero(levi_civita(1, 1, p, q)(1, 2), "levi_civita(1,1,p,q)(1,2)");
208 test_for_zero(levi_civita(1, 1, p, q)(1, 3), "levi_civita(1,1,p,q)(1,3)");
209 test_for_zero(levi_civita(1, 1, p, q)(2, 0), "levi_civita(1,1,p,q)(2,0)");
210 test_for_zero(levi_civita(1, 1, p, q)(2, 1), "levi_civita(1,1,p,q)(2,1)");
211 test_for_zero(levi_civita(1, 1, p, q)(2, 2), "levi_civita(1,1,p,q)(2,2)");
212 test_for_zero(levi_civita(1, 1, p, q)(2, 3), "levi_civita(1,1,p,q)(2,3)");
213 test_for_zero(levi_civita(1, 1, p, q)(3, 0), "levi_civita(1,1,p,q)(3,0)");
214 test_for_zero(levi_civita(1, 1, p, q)(3, 1), "levi_civita(1,1,p,q)(3,1)");
215 test_for_zero(levi_civita(1, 1, p, q)(3, 2), "levi_civita(1,1,p,q)(3,2)");
216 test_for_zero(levi_civita(1, 1, p, q)(3, 3), "levi_civita(1,1,p,q)(3,3)");
217
218 test_for_zero(levi_civita(1, 2, p, q)(0, 0), "levi_civita(1,2,p,q)(0,0)");
219 test_for_zero(levi_civita(1, 2, p, q)(0, 1), "levi_civita(1,2,p,q)(0,1)");
220 test_for_zero(levi_civita(1, 2, p, q)(0, 2), "levi_civita(1,2,p,q)(0,2)");
221 test_for_zero(levi_civita(1, 2, p, q)(0, 3) - 1,
222 "levi_civita(1,2,p,q)(0,3)");
223 test_for_zero(levi_civita(1, 2, p, q)(1, 0), "levi_civita(1,2,p,q)(1,0)");
224 test_for_zero(levi_civita(1, 2, p, q)(1, 1), "levi_civita(1,2,p,q)(1,1)");
225 test_for_zero(levi_civita(1, 2, p, q)(1, 2), "levi_civita(1,2,p,q)(1,2)");
226 test_for_zero(levi_civita(1, 2, p, q)(1, 3), "levi_civita(1,2,p,q)(1,3)");
227 test_for_zero(levi_civita(1, 2, p, q)(2, 0), "levi_civita(1,2,p,q)(2,0)");
228 test_for_zero(levi_civita(1, 2, p, q)(2, 1), "levi_civita(1,2,p,q)(2,1)");
229 test_for_zero(levi_civita(1, 2, p, q)(2, 2), "levi_civita(1,2,p,q)(2,2)");
230 test_for_zero(levi_civita(1, 2, p, q)(2, 3), "levi_civita(1,2,p,q)(2,3)");
231 test_for_zero(levi_civita(1, 2, p, q)(3, 0) + 1,
232 "levi_civita(1,2,p,q)(3,0)");
233 test_for_zero(levi_civita(1, 2, p, q)(3, 1), "levi_civita(1,2,p,q)(3,1)");
234 test_for_zero(levi_civita(1, 2, p, q)(3, 2), "levi_civita(1,2,p,q)(3,2)");
235 test_for_zero(levi_civita(1, 2, p, q)(3, 3), "levi_civita(1,2,p,q)(3,3)");
236
237 test_for_zero(levi_civita(1, 3, p, q)(0, 0), "levi_civita(1,3,p,q)(0,0)");
238 test_for_zero(levi_civita(1, 3, p, q)(0, 1), "levi_civita(1,3,p,q)(0,1)");
239 test_for_zero(levi_civita(1, 3, p, q)(0, 2) + 1,
240 "levi_civita(1,3,p,q)(0,2)");
241 test_for_zero(levi_civita(1, 3, p, q)(0, 3), "levi_civita(1,3,p,q)(0,3)");
242 test_for_zero(levi_civita(1, 3, p, q)(1, 0), "levi_civita(1,3,p,q)(1,0)");
243 test_for_zero(levi_civita(1, 3, p, q)(1, 1), "levi_civita(1,3,p,q)(1,1)");
244 test_for_zero(levi_civita(1, 3, p, q)(1, 2), "levi_civita(1,3,p,q)(1,2)");
245 test_for_zero(levi_civita(1, 3, p, q)(1, 3), "levi_civita(1,3,p,q)(1,3)");
246 test_for_zero(levi_civita(1, 3, p, q)(2, 0) - 1,
247 "levi_civita(1,3,p,q)(2,0)");
248 test_for_zero(levi_civita(1, 3, p, q)(2, 1), "levi_civita(1,3,p,q)(2,1)");
249 test_for_zero(levi_civita(1, 3, p, q)(2, 2), "levi_civita(1,3,p,q)(2,2)");
250 test_for_zero(levi_civita(1, 3, p, q)(2, 3), "levi_civita(1,3,p,q)(2,3)");
251 test_for_zero(levi_civita(1, 3, p, q)(3, 0), "levi_civita(1,3,p,q)(3,0)");
252 test_for_zero(levi_civita(1, 3, p, q)(3, 1), "levi_civita(1,3,p,q)(3,1)");
253 test_for_zero(levi_civita(1, 3, p, q)(3, 2), "levi_civita(1,3,p,q)(3,2)");
254 test_for_zero(levi_civita(1, 3, p, q)(3, 3), "levi_civita(1,3,p,q)(3,3)");
255
256 test_for_zero(levi_civita(2, 0, p, q)(0, 0), "levi_civita(2,0,p,q)(0,0)");
257 test_for_zero(levi_civita(2, 0, p, q)(0, 1), "levi_civita(2,0,p,q)(0,1)");
258 test_for_zero(levi_civita(2, 0, p, q)(0, 2), "levi_civita(2,0,p,q)(0,2)");
259 test_for_zero(levi_civita(2, 0, p, q)(0, 3), "levi_civita(2,0,p,q)(0,3)");
260 test_for_zero(levi_civita(2, 0, p, q)(1, 0), "levi_civita(2,0,p,q)(1,0)");
261 test_for_zero(levi_civita(2, 0, p, q)(1, 1), "levi_civita(2,0,p,q)(1,1)");
262 test_for_zero(levi_civita(2, 0, p, q)(1, 2), "levi_civita(2,0,p,q)(1,2)");
263 test_for_zero(levi_civita(2, 0, p, q)(1, 3) - 1,
264 "levi_civita(2,0,p,q)(1,3)");
265 test_for_zero(levi_civita(2, 0, p, q)(2, 0), "levi_civita(2,0,p,q)(2,0)");
266 test_for_zero(levi_civita(2, 0, p, q)(2, 1), "levi_civita(2,0,p,q)(2,1)");
267 test_for_zero(levi_civita(2, 0, p, q)(2, 2), "levi_civita(2,0,p,q)(2,2)");
268 test_for_zero(levi_civita(2, 0, p, q)(2, 3), "levi_civita(2,0,p,q)(2,3)");
269 test_for_zero(levi_civita(2, 0, p, q)(3, 0), "levi_civita(2,0,p,q)(3,0)");
270 test_for_zero(levi_civita(2, 0, p, q)(3, 1) + 1,
271 "levi_civita(2,0,p,q)(3,1)");
272 test_for_zero(levi_civita(2, 0, p, q)(3, 2), "levi_civita(2,0,p,q)(3,2)");
273 test_for_zero(levi_civita(2, 0, p, q)(3, 3), "levi_civita(2,0,p,q)(3,3)");
274
275 test_for_zero(levi_civita(2, 1, p, q)(0, 0), "levi_civita(2,1,p,q)(0,0)");
276 test_for_zero(levi_civita(2, 1, p, q)(0, 1), "levi_civita(2,1,p,q)(0,1)");
277 test_for_zero(levi_civita(2, 1, p, q)(0, 2), "levi_civita(2,1,p,q)(0,2)");
278 test_for_zero(levi_civita(2, 1, p, q)(0, 3) + 1,
279 "levi_civita(2,1,p,q)(0,3)");
280 test_for_zero(levi_civita(2, 1, p, q)(1, 0), "levi_civita(2,1,p,q)(1,0)");
281 test_for_zero(levi_civita(2, 1, p, q)(1, 1), "levi_civita(2,1,p,q)(1,1)");
282 test_for_zero(levi_civita(2, 1, p, q)(1, 2), "levi_civita(2,1,p,q)(1,2)");
283 test_for_zero(levi_civita(2, 1, p, q)(1, 3), "levi_civita(2,1,p,q)(1,3)");
284 test_for_zero(levi_civita(2, 1, p, q)(2, 0), "levi_civita(2,1,p,q)(2,0)");
285 test_for_zero(levi_civita(2, 1, p, q)(2, 1), "levi_civita(2,1,p,q)(2,1)");
286 test_for_zero(levi_civita(2, 1, p, q)(2, 2), "levi_civita(2,1,p,q)(2,2)");
287 test_for_zero(levi_civita(2, 1, p, q)(2, 3), "levi_civita(2,1,p,q)(2,3)");
288 test_for_zero(levi_civita(2, 1, p, q)(3, 0) - 1,
289 "levi_civita(2,1,p,q)(3,0)");
290 test_for_zero(levi_civita(2, 1, p, q)(3, 1), "levi_civita(2,1,p,q)(3,1)");
291 test_for_zero(levi_civita(2, 1, p, q)(3, 2), "levi_civita(2,1,p,q)(3,2)");
292 test_for_zero(levi_civita(2, 1, p, q)(3, 3), "levi_civita(2,1,p,q)(3,3)");
293
294 test_for_zero(levi_civita(2, 2, p, q)(0, 0), "levi_civita(2,2,p,q)(0,0)");
295 test_for_zero(levi_civita(2, 2, p, q)(0, 1), "levi_civita(2,2,p,q)(0,1)");
296 test_for_zero(levi_civita(2, 2, p, q)(0, 2), "levi_civita(2,2,p,q)(0,2)");
297 test_for_zero(levi_civita(2, 2, p, q)(0, 3), "levi_civita(2,2,p,q)(0,3)");
298 test_for_zero(levi_civita(2, 2, p, q)(1, 0), "levi_civita(2,2,p,q)(1,0)");
299 test_for_zero(levi_civita(2, 2, p, q)(1, 1), "levi_civita(2,2,p,q)(1,1)");
300 test_for_zero(levi_civita(2, 2, p, q)(1, 2), "levi_civita(2,2,p,q)(1,2)");
301 test_for_zero(levi_civita(2, 2, p, q)(1, 3), "levi_civita(2,2,p,q)(1,3)");
302 test_for_zero(levi_civita(2, 2, p, q)(2, 0), "levi_civita(2,2,p,q)(2,0)");
303 test_for_zero(levi_civita(2, 2, p, q)(2, 1), "levi_civita(2,2,p,q)(2,1)");
304 test_for_zero(levi_civita(2, 2, p, q)(2, 2), "levi_civita(2,2,p,q)(2,2)");
305 test_for_zero(levi_civita(2, 2, p, q)(2, 3), "levi_civita(2,2,p,q)(2,3)");
306 test_for_zero(levi_civita(2, 2, p, q)(3, 0), "levi_civita(2,2,p,q)(3,0)");
307 test_for_zero(levi_civita(2, 2, p, q)(3, 1), "levi_civita(2,2,p,q)(3,1)");
308 test_for_zero(levi_civita(2, 2, p, q)(3, 2), "levi_civita(2,2,p,q)(3,2)");
309 test_for_zero(levi_civita(2, 2, p, q)(3, 3), "levi_civita(2,2,p,q)(3,3)");
310
311 test_for_zero(levi_civita(2, 3, p, q)(0, 0), "levi_civita(2,3,p,q)(0,0)");
312 test_for_zero(levi_civita(2, 3, p, q)(0, 1) - 1,
313 "levi_civita(2,3,p,q)(0,1)");
314 test_for_zero(levi_civita(2, 3, p, q)(0, 2), "levi_civita(2,3,p,q)(0,2)");
315 test_for_zero(levi_civita(2, 3, p, q)(0, 3), "levi_civita(2,3,p,q)(0,3)");
316 test_for_zero(levi_civita(2, 3, p, q)(1, 0) + 1,
317 "levi_civita(2,3,p,q)(1,0)");
318 test_for_zero(levi_civita(2, 3, p, q)(1, 1), "levi_civita(2,3,p,q)(1,1)");
319 test_for_zero(levi_civita(2, 3, p, q)(1, 2), "levi_civita(2,3,p,q)(1,2)");
320 test_for_zero(levi_civita(2, 3, p, q)(1, 3), "levi_civita(2,3,p,q)(1,3)");
321 test_for_zero(levi_civita(2, 3, p, q)(2, 0), "levi_civita(2,3,p,q)(2,0)");
322 test_for_zero(levi_civita(2, 3, p, q)(2, 1), "levi_civita(2,3,p,q)(2,1)");
323 test_for_zero(levi_civita(2, 3, p, q)(2, 2), "levi_civita(2,3,p,q)(2,2)");
324 test_for_zero(levi_civita(2, 3, p, q)(2, 3), "levi_civita(2,3,p,q)(2,3)");
325 test_for_zero(levi_civita(2, 3, p, q)(3, 0), "levi_civita(2,3,p,q)(3,0)");
326 test_for_zero(levi_civita(2, 3, p, q)(3, 1), "levi_civita(2,3,p,q)(3,1)");
327 test_for_zero(levi_civita(2, 3, p, q)(3, 2), "levi_civita(2,3,p,q)(3,2)");
328 test_for_zero(levi_civita(2, 3, p, q)(3, 3), "levi_civita(2,3,p,q)(3,3)");
329
330 test_for_zero(levi_civita(3, 0, p, q)(0, 0), "levi_civita(3,0,p,q)(0,0)");
331 test_for_zero(levi_civita(3, 0, p, q)(0, 1), "levi_civita(3,0,p,q)(0,1)");
332 test_for_zero(levi_civita(3, 0, p, q)(0, 2), "levi_civita(3,0,p,q)(0,2)");
333 test_for_zero(levi_civita(3, 0, p, q)(0, 3), "levi_civita(3,0,p,q)(0,3)");
334 test_for_zero(levi_civita(3, 0, p, q)(1, 0), "levi_civita(3,0,p,q)(1,0)");
335 test_for_zero(levi_civita(3, 0, p, q)(1, 1), "levi_civita(3,0,p,q)(1,1)");
336 test_for_zero(levi_civita(3, 0, p, q)(1, 2) + 1,
337 "levi_civita(3,0,p,q)(1,2)");
338 test_for_zero(levi_civita(3, 0, p, q)(1, 3), "levi_civita(3,0,p,q)(1,3)");
339 test_for_zero(levi_civita(3, 0, p, q)(2, 0), "levi_civita(3,0,p,q)(2,0)");
340 test_for_zero(levi_civita(3, 0, p, q)(2, 1) - 1,
341 "levi_civita(3,0,p,q)(2,1)");
342 test_for_zero(levi_civita(3, 0, p, q)(2, 2), "levi_civita(3,0,p,q)(2,2)");
343 test_for_zero(levi_civita(3, 0, p, q)(2, 3), "levi_civita(3,0,p,q)(2,3)");
344 test_for_zero(levi_civita(3, 0, p, q)(3, 0), "levi_civita(3,0,p,q)(3,0)");
345 test_for_zero(levi_civita(3, 0, p, q)(3, 1), "levi_civita(3,0,p,q)(3,1)");
346 test_for_zero(levi_civita(3, 0, p, q)(3, 2), "levi_civita(3,0,p,q)(3,2)");
347 test_for_zero(levi_civita(3, 0, p, q)(3, 3), "levi_civita(3,0,p,q)(3,3)");
348
349 test_for_zero(levi_civita(3, 1, p, q)(0, 0), "levi_civita(3,1,p,q)(0,0)");
350 test_for_zero(levi_civita(3, 1, p, q)(0, 1), "levi_civita(3,1,p,q)(0,1)");
351 test_for_zero(levi_civita(3, 1, p, q)(0, 2) - 1,
352 "levi_civita(3,1,p,q)(0,2)");
353 test_for_zero(levi_civita(3, 1, p, q)(0, 3), "levi_civita(3,1,p,q)(0,3)");
354 test_for_zero(levi_civita(3, 1, p, q)(1, 0), "levi_civita(3,1,p,q)(1,0)");
355 test_for_zero(levi_civita(3, 1, p, q)(1, 1), "levi_civita(3,1,p,q)(1,1)");
356 test_for_zero(levi_civita(3, 1, p, q)(1, 2), "levi_civita(3,1,p,q)(1,2)");
357 test_for_zero(levi_civita(3, 1, p, q)(1, 3), "levi_civita(3,1,p,q)(1,3)");
358 test_for_zero(levi_civita(3, 1, p, q)(2, 0) + 1,
359 "levi_civita(3,1,p,q)(2,0)");
360 test_for_zero(levi_civita(3, 1, p, q)(2, 1), "levi_civita(3,1,p,q)(2,1)");
361 test_for_zero(levi_civita(3, 1, p, q)(2, 2), "levi_civita(3,1,p,q)(2,2)");
362 test_for_zero(levi_civita(3, 1, p, q)(2, 3), "levi_civita(3,1,p,q)(2,3)");
363 test_for_zero(levi_civita(3, 1, p, q)(3, 0), "levi_civita(3,1,p,q)(3,0)");
364 test_for_zero(levi_civita(3, 1, p, q)(3, 1), "levi_civita(3,1,p,q)(3,1)");
365 test_for_zero(levi_civita(3, 1, p, q)(3, 2), "levi_civita(3,1,p,q)(3,2)");
366 test_for_zero(levi_civita(3, 1, p, q)(3, 3), "levi_civita(3,1,p,q)(3,3)");
367
368 test_for_zero(levi_civita(3, 2, p, q)(0, 0), "levi_civita(3,2,p,q)(0,0)");
369 test_for_zero(levi_civita(3, 2, p, q)(0, 1) + 1,
370 "levi_civita(3,2,p,q)(0,1)");
371 test_for_zero(levi_civita(3, 2, p, q)(0, 2), "levi_civita(3,2,p,q)(0,2)");
372 test_for_zero(levi_civita(3, 2, p, q)(0, 3), "levi_civita(3,2,p,q)(0,3)");
373 test_for_zero(levi_civita(3, 2, p, q)(1, 0) - 1,
374 "levi_civita(3,2,p,q)(1,0)");
375 test_for_zero(levi_civita(3, 2, p, q)(1, 1), "levi_civita(3,2,p,q)(1,1)");
376 test_for_zero(levi_civita(3, 2, p, q)(1, 2), "levi_civita(3,2,p,q)(1,2)");
377 test_for_zero(levi_civita(3, 2, p, q)(1, 3), "levi_civita(3,2,p,q)(1,3)");
378 test_for_zero(levi_civita(3, 2, p, q)(2, 0), "levi_civita(3,2,p,q)(2,0)");
379 test_for_zero(levi_civita(3, 2, p, q)(2, 1), "levi_civita(3,2,p,q)(2,1)");
380 test_for_zero(levi_civita(3, 2, p, q)(2, 2), "levi_civita(3,2,p,q)(2,2)");
381 test_for_zero(levi_civita(3, 2, p, q)(2, 3), "levi_civita(3,2,p,q)(2,3)");
382 test_for_zero(levi_civita(3, 2, p, q)(3, 0), "levi_civita(3,2,p,q)(3,0)");
383 test_for_zero(levi_civita(3, 2, p, q)(3, 1), "levi_civita(3,2,p,q)(3,1)");
384 test_for_zero(levi_civita(3, 2, p, q)(3, 2), "levi_civita(3,2,p,q)(3,2)");
385 test_for_zero(levi_civita(3, 2, p, q)(3, 3), "levi_civita(3,2,p,q)(3,3)");
386
387 test_for_zero(levi_civita(3, 3, p, q)(0, 0), "levi_civita(3,3,p,q)(0,0)");
388 test_for_zero(levi_civita(3, 3, p, q)(0, 1), "levi_civita(3,3,p,q)(0,1)");
389 test_for_zero(levi_civita(3, 3, p, q)(0, 2), "levi_civita(3,3,p,q)(0,2)");
390 test_for_zero(levi_civita(3, 3, p, q)(0, 3), "levi_civita(3,3,p,q)(0,3)");
391 test_for_zero(levi_civita(3, 3, p, q)(1, 0), "levi_civita(3,3,p,q)(1,0)");
392 test_for_zero(levi_civita(3, 3, p, q)(1, 1), "levi_civita(3,3,p,q)(1,1)");
393 test_for_zero(levi_civita(3, 3, p, q)(1, 2), "levi_civita(3,3,p,q)(1,2)");
394 test_for_zero(levi_civita(3, 3, p, q)(1, 3), "levi_civita(3,3,p,q)(1,3)");
395 test_for_zero(levi_civita(3, 3, p, q)(2, 0), "levi_civita(3,3,p,q)(2,0)");
396 test_for_zero(levi_civita(3, 3, p, q)(2, 1), "levi_civita(3,3,p,q)(2,1)");
397 test_for_zero(levi_civita(3, 3, p, q)(2, 2), "levi_civita(3,3,p,q)(2,2)");
398 test_for_zero(levi_civita(3, 3, p, q)(2, 3), "levi_civita(3,3,p,q)(2,3)");
399 test_for_zero(levi_civita(3, 3, p, q)(3, 0), "levi_civita(3,3,p,q)(3,0)");
400 test_for_zero(levi_civita(3, 3, p, q)(3, 1), "levi_civita(3,3,p,q)(3,1)");
401 test_for_zero(levi_civita(3, 3, p, q)(3, 2), "levi_civita(3,3,p,q)(3,2)");
402 test_for_zero(levi_civita(3, 3, p, q)(3, 3), "levi_civita(3,3,p,q)(3,3)");
403
404 test_for_zero(levi_civita(0, o, 0, q)(0, 0), "levi_civita(0,o,0,q)(0,0)");
405 test_for_zero(levi_civita(0, o, 0, q)(0, 1), "levi_civita(0,o,0,q)(0,1)");
406 test_for_zero(levi_civita(0, o, 0, q)(0, 2), "levi_civita(0,o,0,q)(0,2)");
407 test_for_zero(levi_civita(0, o, 0, q)(0, 3), "levi_civita(0,o,0,q)(0,3)");
408 test_for_zero(levi_civita(0, o, 0, q)(1, 0), "levi_civita(0,o,0,q)(1,0)");
409 test_for_zero(levi_civita(0, o, 0, q)(1, 1), "levi_civita(0,o,0,q)(1,1)");
410 test_for_zero(levi_civita(0, o, 0, q)(1, 2), "levi_civita(0,o,0,q)(1,2)");
411 test_for_zero(levi_civita(0, o, 0, q)(1, 3), "levi_civita(0,o,0,q)(1,3)");
412 test_for_zero(levi_civita(0, o, 0, q)(2, 0), "levi_civita(0,o,0,q)(2,0)");
413 test_for_zero(levi_civita(0, o, 0, q)(2, 1), "levi_civita(0,o,0,q)(2,1)");
414 test_for_zero(levi_civita(0, o, 0, q)(2, 2), "levi_civita(0,o,0,q)(2,2)");
415 test_for_zero(levi_civita(0, o, 0, q)(2, 3), "levi_civita(0,o,0,q)(2,3)");
416 test_for_zero(levi_civita(0, o, 0, q)(3, 0), "levi_civita(0,o,0,q)(3,0)");
417 test_for_zero(levi_civita(0, o, 0, q)(3, 1), "levi_civita(0,o,0,q)(3,1)");
418 test_for_zero(levi_civita(0, o, 0, q)(3, 2), "levi_civita(0,o,0,q)(3,2)");
419 test_for_zero(levi_civita(0, o, 0, q)(3, 3), "levi_civita(0,o,0,q)(3,3)");
420
421 test_for_zero(levi_civita(0, o, 1, q)(0, 0), "levi_civita(0,o,1,q)(0,0)");
422 test_for_zero(levi_civita(0, o, 1, q)(0, 1), "levi_civita(0,o,1,q)(0,1)");
423 test_for_zero(levi_civita(0, o, 1, q)(0, 2), "levi_civita(0,o,1,q)(0,2)");
424 test_for_zero(levi_civita(0, o, 1, q)(0, 3), "levi_civita(0,o,1,q)(0,3)");
425 test_for_zero(levi_civita(0, o, 1, q)(1, 0), "levi_civita(0,o,1,q)(1,0)");
426 test_for_zero(levi_civita(0, o, 1, q)(1, 1), "levi_civita(0,o,1,q)(1,1)");
427 test_for_zero(levi_civita(0, o, 1, q)(1, 2), "levi_civita(0,o,1,q)(1,2)");
428 test_for_zero(levi_civita(0, o, 1, q)(1, 3), "levi_civita(0,o,1,q)(1,3)");
429 test_for_zero(levi_civita(0, o, 1, q)(2, 0), "levi_civita(0,o,1,q)(2,0)");
430 test_for_zero(levi_civita(0, o, 1, q)(2, 1), "levi_civita(0,o,1,q)(2,1)");
431 test_for_zero(levi_civita(0, o, 1, q)(2, 2), "levi_civita(0,o,1,q)(2,2)");
432 test_for_zero(levi_civita(0, o, 1, q)(2, 3) + 1,
433 "levi_civita(0,n,1,q)(2,3)");
434 test_for_zero(levi_civita(0, o, 1, q)(3, 0), "levi_civita(0,o,1,q)(3,0)");
435 test_for_zero(levi_civita(0, o, 1, q)(3, 1), "levi_civita(0,o,1,q)(3,1)");
436 test_for_zero(levi_civita(0, o, 1, q)(3, 2) - 1,
437 "levi_civita(0,o,1,q)(3,2)");
438 test_for_zero(levi_civita(0, o, 1, q)(3, 3), "levi_civita(0,o,1,q)(3,3)");
439
440 test_for_zero(levi_civita(0, o, 2, q)(0, 0), "levi_civita(0,o,2,q)(0,0)");
441 test_for_zero(levi_civita(0, o, 2, q)(0, 1), "levi_civita(0,o,2,q)(0,1)");
442 test_for_zero(levi_civita(0, o, 2, q)(0, 2), "levi_civita(0,o,2,q)(0,2)");
443 test_for_zero(levi_civita(0, o, 2, q)(0, 3), "levi_civita(0,o,2,q)(0,3)");
444 test_for_zero(levi_civita(0, o, 2, q)(1, 0), "levi_civita(0,o,2,q)(1,0)");
445 test_for_zero(levi_civita(0, o, 2, q)(1, 1), "levi_civita(0,o,2,q)(1,1)");
446 test_for_zero(levi_civita(0, o, 2, q)(1, 2), "levi_civita(0,o,2,q)(1,2)");
447 test_for_zero(levi_civita(0, o, 2, q)(1, 3) - 1,
448 "levi_civita(0,o,2,q)(1,3)");
449 test_for_zero(levi_civita(0, o, 2, q)(2, 0), "levi_civita(0,o,2,q)(2,0)");
450 test_for_zero(levi_civita(0, o, 2, q)(2, 1), "levi_civita(0,o,2,q)(2,1)");
451 test_for_zero(levi_civita(0, o, 2, q)(2, 2), "levi_civita(0,o,2,q)(2,2)");
452 test_for_zero(levi_civita(0, o, 2, q)(2, 3), "levi_civita(0,o,2,q)(2,3)");
453 test_for_zero(levi_civita(0, o, 2, q)(3, 0), "levi_civita(0,o,2,q)(3,0)");
454 test_for_zero(levi_civita(0, o, 2, q)(3, 1) + 1,
455 "levi_civita(0,o,2,q)(3,1)");
456 test_for_zero(levi_civita(0, o, 2, q)(3, 2), "levi_civita(0,o,2,q)(3,2)");
457 test_for_zero(levi_civita(0, o, 2, q)(3, 3), "levi_civita(0,o,2,q)(3,3)");
458
459 test_for_zero(levi_civita(0, o, 3, q)(0, 0), "levi_civita(0,o,3,q)(0,0)");
460 test_for_zero(levi_civita(0, o, 3, q)(0, 1), "levi_civita(0,o,3,q)(0,1)");
461 test_for_zero(levi_civita(0, o, 3, q)(0, 2), "levi_civita(0,o,3,q)(0,2)");
462 test_for_zero(levi_civita(0, o, 3, q)(0, 3), "levi_civita(0,o,3,q)(0,3)");
463 test_for_zero(levi_civita(0, o, 3, q)(1, 0), "levi_civita(0,o,3,q)(1,0)");
464 test_for_zero(levi_civita(0, o, 3, q)(1, 1), "levi_civita(0,o,3,q)(1,1)");
465 test_for_zero(levi_civita(0, o, 3, q)(1, 2) + 1,
466 "levi_civita(0,o,3,q)(1,2)");
467 test_for_zero(levi_civita(0, o, 3, q)(1, 3), "levi_civita(0,o,3,q)(1,3)");
468 test_for_zero(levi_civita(0, o, 3, q)(2, 0), "levi_civita(0,o,3,q)(2,0)");
469 test_for_zero(levi_civita(0, o, 3, q)(2, 1) - 1,
470 "levi_civita(0,o,3,q)(2,1)");
471 test_for_zero(levi_civita(0, o, 3, q)(2, 2), "levi_civita(0,o,3,q)(2,2)");
472 test_for_zero(levi_civita(0, o, 3, q)(2, 3), "levi_civita(0,o,3,q)(2,3)");
473 test_for_zero(levi_civita(0, o, 3, q)(3, 0), "levi_civita(0,o,3,q)(3,0)");
474 test_for_zero(levi_civita(0, o, 3, q)(3, 1), "levi_civita(0,o,3,q)(3,1)");
475 test_for_zero(levi_civita(0, o, 3, q)(3, 2), "levi_civita(0,o,3,q)(3,2)");
476 test_for_zero(levi_civita(0, o, 3, q)(3, 3), "levi_civita(0,o,3,q)(3,3)");
477
478 test_for_zero(levi_civita(1, o, 0, q)(0, 0), "levi_civita(1,o,0,q)(0,0)");
479 test_for_zero(levi_civita(1, o, 0, q)(0, 1), "levi_civita(1,o,0,q)(0,1)");
480 test_for_zero(levi_civita(1, o, 0, q)(0, 2), "levi_civita(1,o,0,q)(0,2)");
481 test_for_zero(levi_civita(1, o, 0, q)(0, 3), "levi_civita(1,o,0,q)(0,3)");
482 test_for_zero(levi_civita(1, o, 0, q)(1, 0), "levi_civita(1,o,0,q)(1,0)");
483 test_for_zero(levi_civita(1, o, 0, q)(1, 1), "levi_civita(1,o,0,q)(1,1)");
484 test_for_zero(levi_civita(1, o, 0, q)(1, 2), "levi_civita(1,o,0,q)(1,2)");
485 test_for_zero(levi_civita(1, o, 0, q)(1, 3), "levi_civita(1,o,0,q)(1,3)");
486 test_for_zero(levi_civita(1, o, 0, q)(2, 0), "levi_civita(1,o,0,q)(2,0)");
487 test_for_zero(levi_civita(1, o, 0, q)(2, 1), "levi_civita(1,o,0,q)(2,1)");
488 test_for_zero(levi_civita(1, o, 0, q)(2, 2), "levi_civita(1,o,0,q)(2,2)");
489 test_for_zero(levi_civita(1, o, 0, q)(2, 3) - 1,
490 "levi_civita(1,o,0,q)(2,3)");
491 test_for_zero(levi_civita(1, o, 0, q)(3, 0), "levi_civita(1,o,0,q)(3,0)");
492 test_for_zero(levi_civita(1, o, 0, q)(3, 1), "levi_civita(1,o,0,q)(3,1)");
493 test_for_zero(levi_civita(1, o, 0, q)(3, 2) + 1,
494 "levi_civita(1,o,0,q)(3,2)");
495 test_for_zero(levi_civita(1, o, 0, q)(3, 3), "levi_civita(1,o,0,q)(3,3)");
496
497 test_for_zero(levi_civita(1, o, 1, q)(0, 0), "levi_civita(1,o,1,q)(0,0)");
498 test_for_zero(levi_civita(1, o, 1, q)(0, 1), "levi_civita(1,o,1,q)(0,1)");
499 test_for_zero(levi_civita(1, o, 1, q)(0, 2), "levi_civita(1,o,1,q)(0,2)");
500 test_for_zero(levi_civita(1, o, 1, q)(0, 3), "levi_civita(1,o,1,q)(0,3)");
501 test_for_zero(levi_civita(1, o, 1, q)(1, 0), "levi_civita(1,o,1,q)(1,0)");
502 test_for_zero(levi_civita(1, o, 1, q)(1, 1), "levi_civita(1,o,1,q)(1,1)");
503 test_for_zero(levi_civita(1, o, 1, q)(1, 2), "levi_civita(1,o,1,q)(1,2)");
504 test_for_zero(levi_civita(1, o, 1, q)(1, 3), "levi_civita(1,o,1,q)(1,3)");
505 test_for_zero(levi_civita(1, o, 1, q)(2, 0), "levi_civita(1,o,1,q)(2,0)");
506 test_for_zero(levi_civita(1, o, 1, q)(2, 1), "levi_civita(1,o,1,q)(2,1)");
507 test_for_zero(levi_civita(1, o, 1, q)(2, 2), "levi_civita(1,o,1,q)(2,2)");
508 test_for_zero(levi_civita(1, o, 1, q)(2, 3), "levi_civita(1,o,1,q)(2,3)");
509 test_for_zero(levi_civita(1, o, 1, q)(3, 0), "levi_civita(1,o,1,q)(3,0)");
510 test_for_zero(levi_civita(1, o, 1, q)(3, 1), "levi_civita(1,o,1,q)(3,1)");
511 test_for_zero(levi_civita(1, o, 1, q)(3, 2), "levi_civita(1,o,1,q)(3,2)");
512 test_for_zero(levi_civita(1, o, 1, q)(3, 3), "levi_civita(1,o,1,q)(3,3)");
513
514 test_for_zero(levi_civita(1, o, 2, q)(0, 0), "levi_civita(1,o,2,q)(0,0)");
515 test_for_zero(levi_civita(1, o, 2, q)(0, 1), "levi_civita(1,o,2,q)(0,1)");
516 test_for_zero(levi_civita(1, o, 2, q)(0, 2), "levi_civita(1,o,2,q)(0,2)");
517 test_for_zero(levi_civita(1, o, 2, q)(0, 3) + 1,
518 "levi_civita(1,o,2,q)(0,3)");
519 test_for_zero(levi_civita(1, o, 2, q)(1, 0), "levi_civita(1,o,2,q)(1,0)");
520 test_for_zero(levi_civita(1, o, 2, q)(1, 1), "levi_civita(1,o,2,q)(1,1)");
521 test_for_zero(levi_civita(1, o, 2, q)(1, 2), "levi_civita(1,o,2,q)(1,2)");
522 test_for_zero(levi_civita(1, o, 2, q)(1, 3), "levi_civita(1,o,2,q)(1,3)");
523 test_for_zero(levi_civita(1, o, 2, q)(2, 0), "levi_civita(1,o,2,q)(2,0)");
524 test_for_zero(levi_civita(1, o, 2, q)(2, 1), "levi_civita(1,o,2,q)(2,1)");
525 test_for_zero(levi_civita(1, o, 2, q)(2, 2), "levi_civita(1,o,2,q)(2,2)");
526 test_for_zero(levi_civita(1, o, 2, q)(2, 3), "levi_civita(1,o,2,q)(2,3)");
527 test_for_zero(levi_civita(1, o, 2, q)(3, 0) - 1,
528 "levi_civita(1,o,2,q)(3,0)");
529 test_for_zero(levi_civita(1, o, 2, q)(3, 1), "levi_civita(1,o,2,q)(3,1)");
530 test_for_zero(levi_civita(1, o, 2, q)(3, 2), "levi_civita(1,o,2,q)(3,2)");
531 test_for_zero(levi_civita(1, o, 2, q)(3, 3), "levi_civita(1,o,2,q)(3,3)");
532
533 test_for_zero(levi_civita(1, o, 3, q)(0, 0), "levi_civita(1,o,3,q)(0,0)");
534 test_for_zero(levi_civita(1, o, 3, q)(0, 1), "levi_civita(1,o,3,q)(0,1)");
535 test_for_zero(levi_civita(1, o, 3, q)(0, 2) - 1,
536 "levi_civita(1,o,3,q)(0,2)");
537 test_for_zero(levi_civita(1, o, 3, q)(0, 3), "levi_civita(1,o,3,q)(0,3)");
538 test_for_zero(levi_civita(1, o, 3, q)(1, 0), "levi_civita(1,o,3,q)(1,0)");
539 test_for_zero(levi_civita(1, o, 3, q)(1, 1), "levi_civita(1,o,3,q)(1,1)");
540 test_for_zero(levi_civita(1, o, 3, q)(1, 2), "levi_civita(1,o,3,q)(1,2)");
541 test_for_zero(levi_civita(1, o, 3, q)(1, 3), "levi_civita(1,o,3,q)(1,3)");
542 test_for_zero(levi_civita(1, o, 3, q)(2, 0) + 1,
543 "levi_civita(1,o,3,q)(2,0)");
544 test_for_zero(levi_civita(1, o, 3, q)(2, 1), "levi_civita(1,o,3,q)(2,1)");
545 test_for_zero(levi_civita(1, o, 3, q)(2, 2), "levi_civita(1,o,3,q)(2,2)");
546 test_for_zero(levi_civita(1, o, 3, q)(2, 3), "levi_civita(1,o,3,q)(2,3)");
547 test_for_zero(levi_civita(1, o, 3, q)(3, 0), "levi_civita(1,o,3,q)(3,0)");
548 test_for_zero(levi_civita(1, o, 3, q)(3, 1), "levi_civita(1,o,3,q)(3,1)");
549 test_for_zero(levi_civita(1, o, 3, q)(3, 2), "levi_civita(1,o,3,q)(3,2)");
550 test_for_zero(levi_civita(1, o, 3, q)(3, 3), "levi_civita(1,o,3,q)(3,3)");
551
552 test_for_zero(levi_civita(2, o, 0, q)(0, 0), "levi_civita(2,o,0,q)(0,0)");
553 test_for_zero(levi_civita(2, o, 0, q)(0, 1), "levi_civita(2,o,0,q)(0,1)");
554 test_for_zero(levi_civita(2, o, 0, q)(0, 2), "levi_civita(2,o,0,q)(0,2)");
555 test_for_zero(levi_civita(2, o, 0, q)(0, 3), "levi_civita(2,o,0,q)(0,3)");
556 test_for_zero(levi_civita(2, o, 0, q)(1, 0), "levi_civita(2,o,0,q)(1,0)");
557 test_for_zero(levi_civita(2, o, 0, q)(1, 1), "levi_civita(2,o,0,q)(1,1)");
558 test_for_zero(levi_civita(2, o, 0, q)(1, 2), "levi_civita(2,o,0,q)(1,2)");
559 test_for_zero(levi_civita(2, o, 0, q)(1, 3) + 1,
560 "levi_civita(2,o,0,q)(1,3)");
561 test_for_zero(levi_civita(2, o, 0, q)(2, 0), "levi_civita(2,o,0,q)(2,0)");
562 test_for_zero(levi_civita(2, o, 0, q)(2, 1), "levi_civita(2,o,0,q)(2,1)");
563 test_for_zero(levi_civita(2, o, 0, q)(2, 2), "levi_civita(2,o,0,q)(2,2)");
564 test_for_zero(levi_civita(2, o, 0, q)(2, 3), "levi_civita(2,o,0,q)(2,3)");
565 test_for_zero(levi_civita(2, o, 0, q)(3, 0), "levi_civita(2,o,0,q)(3,0)");
566 test_for_zero(levi_civita(2, o, 0, q)(3, 1) - 1,
567 "levi_civita(2,o,0,q)(3,1)");
568 test_for_zero(levi_civita(2, o, 0, q)(3, 2), "levi_civita(2,o,0,q)(3,2)");
569 test_for_zero(levi_civita(2, o, 0, q)(3, 3), "levi_civita(2,o,0,q)(3,3)");
570
571 test_for_zero(levi_civita(2, o, 1, q)(0, 0), "levi_civita(2,o,1,q)(0,0)");
572 test_for_zero(levi_civita(2, o, 1, q)(0, 1), "levi_civita(2,o,1,q)(0,1)");
573 test_for_zero(levi_civita(2, o, 1, q)(0, 2), "levi_civita(2,o,1,q)(0,2)");
574 test_for_zero(levi_civita(2, o, 1, q)(0, 3) - 1,
575 "levi_civita(2,o,1,q)(0,3)");
576 test_for_zero(levi_civita(2, o, 1, q)(1, 0), "levi_civita(2,o,1,q)(1,0)");
577 test_for_zero(levi_civita(2, o, 1, q)(1, 1), "levi_civita(2,o,1,q)(1,1)");
578 test_for_zero(levi_civita(2, o, 1, q)(1, 2), "levi_civita(2,o,1,q)(1,2)");
579 test_for_zero(levi_civita(2, o, 1, q)(1, 3), "levi_civita(2,o,1,q)(1,3)");
580 test_for_zero(levi_civita(2, o, 1, q)(2, 0), "levi_civita(2,o,1,q)(2,0)");
581 test_for_zero(levi_civita(2, o, 1, q)(2, 1), "levi_civita(2,o,1,q)(2,1)");
582 test_for_zero(levi_civita(2, o, 1, q)(2, 2), "levi_civita(2,o,1,q)(2,2)");
583 test_for_zero(levi_civita(2, o, 1, q)(2, 3), "levi_civita(2,o,1,q)(2,3)");
584 test_for_zero(levi_civita(2, o, 1, q)(3, 0) + 1,
585 "levi_civita(2,o,1,q)(3,0)");
586 test_for_zero(levi_civita(2, o, 1, q)(3, 1), "levi_civita(2,o,1,q)(3,1)");
587 test_for_zero(levi_civita(2, o, 1, q)(3, 2), "levi_civita(2,o,1,q)(3,2)");
588 test_for_zero(levi_civita(2, o, 1, q)(3, 3), "levi_civita(2,o,1,q)(3,3)");
589
590 test_for_zero(levi_civita(2, o, 2, q)(0, 0), "levi_civita(2,o,2,q)(0,0)");
591 test_for_zero(levi_civita(2, o, 2, q)(0, 1), "levi_civita(2,o,2,q)(0,1)");
592 test_for_zero(levi_civita(2, o, 2, q)(0, 2), "levi_civita(2,o,2,q)(0,2)");
593 test_for_zero(levi_civita(2, o, 2, q)(0, 3), "levi_civita(2,o,2,q)(0,3)");
594 test_for_zero(levi_civita(2, o, 2, q)(1, 0), "levi_civita(2,o,2,q)(1,0)");
595 test_for_zero(levi_civita(2, o, 2, q)(1, 1), "levi_civita(2,o,2,q)(1,1)");
596 test_for_zero(levi_civita(2, o, 2, q)(1, 2), "levi_civita(2,o,2,q)(1,2)");
597 test_for_zero(levi_civita(2, o, 2, q)(1, 3), "levi_civita(2,o,2,q)(1,3)");
598 test_for_zero(levi_civita(2, o, 2, q)(2, 0), "levi_civita(2,o,2,q)(2,0)");
599 test_for_zero(levi_civita(2, o, 2, q)(2, 1), "levi_civita(2,o,2,q)(2,1)");
600 test_for_zero(levi_civita(2, o, 2, q)(2, 2), "levi_civita(2,o,2,q)(2,2)");
601 test_for_zero(levi_civita(2, o, 2, q)(2, 3), "levi_civita(2,o,2,q)(2,3)");
602 test_for_zero(levi_civita(2, o, 2, q)(3, 0), "levi_civita(2,o,2,q)(3,0)");
603 test_for_zero(levi_civita(2, o, 2, q)(3, 1), "levi_civita(2,o,2,q)(3,1)");
604 test_for_zero(levi_civita(2, o, 2, q)(3, 2), "levi_civita(2,o,2,q)(3,2)");
605 test_for_zero(levi_civita(2, o, 2, q)(3, 3), "levi_civita(2,o,2,q)(3,3)");
606
607 test_for_zero(levi_civita(2, o, 3, q)(0, 0), "levi_civita(2,o,3,q)(0,0)");
608 test_for_zero(levi_civita(2, o, 3, q)(0, 1) + 1,
609 "levi_civita(2,o,3,q)(0,1)");
610 test_for_zero(levi_civita(2, o, 3, q)(0, 2), "levi_civita(2,o,3,q)(0,2)");
611 test_for_zero(levi_civita(2, o, 3, q)(0, 3), "levi_civita(2,o,3,q)(0,3)");
612 test_for_zero(levi_civita(2, o, 3, q)(1, 0) - 1,
613 "levi_civita(2,o,3,q)(1,0)");
614 test_for_zero(levi_civita(2, o, 3, q)(1, 1), "levi_civita(2,o,3,q)(1,1)");
615 test_for_zero(levi_civita(2, o, 3, q)(1, 2), "levi_civita(2,o,3,q)(1,2)");
616 test_for_zero(levi_civita(2, o, 3, q)(1, 3), "levi_civita(2,o,3,q)(1,3)");
617 test_for_zero(levi_civita(2, o, 3, q)(2, 0), "levi_civita(2,o,3,q)(2,0)");
618 test_for_zero(levi_civita(2, o, 3, q)(2, 1), "levi_civita(2,o,3,q)(2,1)");
619 test_for_zero(levi_civita(2, o, 3, q)(2, 2), "levi_civita(2,o,3,q)(2,2)");
620 test_for_zero(levi_civita(2, o, 3, q)(2, 3), "levi_civita(2,o,3,q)(2,3)");
621 test_for_zero(levi_civita(2, o, 3, q)(3, 0), "levi_civita(2,o,3,q)(3,0)");
622 test_for_zero(levi_civita(2, o, 3, q)(3, 1), "levi_civita(2,o,3,q)(3,1)");
623 test_for_zero(levi_civita(2, o, 3, q)(3, 2), "levi_civita(2,o,3,q)(3,2)");
624 test_for_zero(levi_civita(2, o, 3, q)(3, 3), "levi_civita(2,o,3,q)(3,3)");
625
626 test_for_zero(levi_civita(3, o, 0, q)(0, 0), "levi_civita(3,o,0,q)(0,0)");
627 test_for_zero(levi_civita(3, o, 0, q)(0, 1), "levi_civita(3,o,0,q)(0,1)");
628 test_for_zero(levi_civita(3, o, 0, q)(0, 2), "levi_civita(3,o,0,q)(0,2)");
629 test_for_zero(levi_civita(3, o, 0, q)(0, 3), "levi_civita(3,o,0,q)(0,3)");
630 test_for_zero(levi_civita(3, o, 0, q)(1, 0), "levi_civita(3,o,0,q)(1,0)");
631 test_for_zero(levi_civita(3, o, 0, q)(1, 1), "levi_civita(3,o,0,q)(1,1)");
632 test_for_zero(levi_civita(3, o, 0, q)(1, 2) - 1,
633 "levi_civita(3,o,0,q)(1,2)");
634 test_for_zero(levi_civita(3, o, 0, q)(1, 3), "levi_civita(3,o,0,q)(1,3)");
635 test_for_zero(levi_civita(3, o, 0, q)(2, 0), "levi_civita(3,o,0,q)(2,0)");
636 test_for_zero(levi_civita(3, o, 0, q)(2, 1) + 1,
637 "levi_civita(3,o,0,q)(2,1)");
638 test_for_zero(levi_civita(3, o, 0, q)(2, 2), "levi_civita(3,o,0,q)(2,2)");
639 test_for_zero(levi_civita(3, o, 0, q)(2, 3), "levi_civita(3,o,0,q)(2,3)");
640 test_for_zero(levi_civita(3, o, 0, q)(3, 0), "levi_civita(3,o,0,q)(3,0)");
641 test_for_zero(levi_civita(3, o, 0, q)(3, 1), "levi_civita(3,o,0,q)(3,1)");
642 test_for_zero(levi_civita(3, o, 0, q)(3, 2), "levi_civita(3,o,0,q)(3,2)");
643 test_for_zero(levi_civita(3, o, 0, q)(3, 3), "levi_civita(3,o,0,q)(3,3)");
644
645 test_for_zero(levi_civita(3, o, 1, q)(0, 0), "levi_civita(3,o,1,q)(0,0)");
646 test_for_zero(levi_civita(3, o, 1, q)(0, 1), "levi_civita(3,o,1,q)(0,1)");
647 test_for_zero(levi_civita(3, o, 1, q)(0, 2) + 1,
648 "levi_civita(3,o,1,q)(0,2)");
649 test_for_zero(levi_civita(3, o, 1, q)(0, 3), "levi_civita(3,o,1,q)(0,3)");
650 test_for_zero(levi_civita(3, o, 1, q)(1, 0), "levi_civita(3,o,1,q)(1,0)");
651 test_for_zero(levi_civita(3, o, 1, q)(1, 1), "levi_civita(3,o,1,q)(1,1)");
652 test_for_zero(levi_civita(3, o, 1, q)(1, 2), "levi_civita(3,o,1,q)(1,2)");
653 test_for_zero(levi_civita(3, o, 1, q)(1, 3), "levi_civita(3,o,1,q)(1,3)");
654 test_for_zero(levi_civita(3, o, 1, q)(2, 0) - 1,
655 "levi_civita(3,o,1,q)(2,0)");
656 test_for_zero(levi_civita(3, o, 1, q)(2, 1), "levi_civita(3,o,1,q)(2,1)");
657 test_for_zero(levi_civita(3, o, 1, q)(2, 2), "levi_civita(3,o,1,q)(2,2)");
658 test_for_zero(levi_civita(3, o, 1, q)(2, 3), "levi_civita(3,o,1,q)(2,3)");
659 test_for_zero(levi_civita(3, o, 1, q)(3, 0), "levi_civita(3,o,1,q)(3,0)");
660 test_for_zero(levi_civita(3, o, 1, q)(3, 1), "levi_civita(3,o,1,q)(3,1)");
661 test_for_zero(levi_civita(3, o, 1, q)(3, 2), "levi_civita(3,o,1,q)(3,2)");
662 test_for_zero(levi_civita(3, o, 1, q)(3, 3), "levi_civita(3,o,1,q)(3,3)");
663
664 test_for_zero(levi_civita(3, o, 2, q)(0, 0), "levi_civita(3,o,2,q)(0,0)");
665 test_for_zero(levi_civita(3, o, 2, q)(0, 1) - 1,
666 "levi_civita(3,o,2,q)(0,1)");
667 test_for_zero(levi_civita(3, o, 2, q)(0, 2), "levi_civita(3,o,2,q)(0,2)");
668 test_for_zero(levi_civita(3, o, 2, q)(0, 3), "levi_civita(3,o,2,q)(0,3)");
669 test_for_zero(levi_civita(3, o, 2, q)(1, 0) + 1,
670 "levi_civita(3,o,2,q)(1,0)");
671 test_for_zero(levi_civita(3, o, 2, q)(1, 1), "levi_civita(3,o,2,q)(1,1)");
672 test_for_zero(levi_civita(3, o, 2, q)(1, 2), "levi_civita(3,o,2,q)(1,2)");
673 test_for_zero(levi_civita(3, o, 2, q)(1, 3), "levi_civita(3,o,2,q)(1,3)");
674 test_for_zero(levi_civita(3, o, 2, q)(2, 0), "levi_civita(3,o,2,q)(2,0)");
675 test_for_zero(levi_civita(3, o, 2, q)(2, 1), "levi_civita(3,o,2,q)(2,1)");
676 test_for_zero(levi_civita(3, o, 2, q)(2, 2), "levi_civita(3,o,2,q)(2,2)");
677 test_for_zero(levi_civita(3, o, 2, q)(2, 3), "levi_civita(3,o,2,q)(2,3)");
678 test_for_zero(levi_civita(3, o, 2, q)(3, 0), "levi_civita(3,o,2,q)(3,0)");
679 test_for_zero(levi_civita(3, o, 2, q)(3, 1), "levi_civita(3,o,2,q)(3,1)");
680 test_for_zero(levi_civita(3, o, 2, q)(3, 2), "levi_civita(3,o,2,q)(3,2)");
681 test_for_zero(levi_civita(3, o, 2, q)(3, 3), "levi_civita(3,o,2,q)(3,3)");
682
683 test_for_zero(levi_civita(3, o, 3, q)(0, 0), "levi_civita(3,o,3,q)(0,0)");
684 test_for_zero(levi_civita(3, o, 3, q)(0, 1), "levi_civita(3,o,3,q)(0,1)");
685 test_for_zero(levi_civita(3, o, 3, q)(0, 2), "levi_civita(3,o,3,q)(0,2)");
686 test_for_zero(levi_civita(3, o, 3, q)(0, 3), "levi_civita(3,o,3,q)(0,3)");
687 test_for_zero(levi_civita(3, o, 3, q)(1, 0), "levi_civita(3,o,3,q)(1,0)");
688 test_for_zero(levi_civita(3, o, 3, q)(1, 1), "levi_civita(3,o,3,q)(1,1)");
689 test_for_zero(levi_civita(3, o, 3, q)(1, 2), "levi_civita(3,o,3,q)(1,2)");
690 test_for_zero(levi_civita(3, o, 3, q)(1, 3), "levi_civita(3,o,3,q)(1,3)");
691 test_for_zero(levi_civita(3, o, 3, q)(2, 0), "levi_civita(3,o,3,q)(2,0)");
692 test_for_zero(levi_civita(3, o, 3, q)(2, 1), "levi_civita(3,o,3,q)(2,1)");
693 test_for_zero(levi_civita(3, o, 3, q)(2, 2), "levi_civita(3,o,3,q)(2,2)");
694 test_for_zero(levi_civita(3, o, 3, q)(2, 3), "levi_civita(3,o,3,q)(2,3)");
695 test_for_zero(levi_civita(3, o, 3, q)(3, 0), "levi_civita(3,o,3,q)(3,0)");
696 test_for_zero(levi_civita(3, o, 3, q)(3, 1), "levi_civita(3,o,3,q)(3,1)");
697 test_for_zero(levi_civita(3, o, 3, q)(3, 2), "levi_civita(3,o,3,q)(3,2)");
698 test_for_zero(levi_civita(3, o, 3, q)(3, 3), "levi_civita(3,o,3,q)(3,3)");
699
700 test_for_zero(levi_civita(0, o, p, 0)(0, 0), "levi_civita(0,o,p,0)(0,0)");
701 test_for_zero(levi_civita(0, o, p, 0)(0, 1), "levi_civita(0,o,p,0)(0,1)");
702 test_for_zero(levi_civita(0, o, p, 0)(0, 2), "levi_civita(0,o,p,0)(0,2)");
703 test_for_zero(levi_civita(0, o, p, 0)(0, 3), "levi_civita(0,o,p,0)(0,3)");
704 test_for_zero(levi_civita(0, o, p, 0)(1, 0), "levi_civita(0,o,p,0)(1,0)");
705 test_for_zero(levi_civita(0, o, p, 0)(1, 1), "levi_civita(0,o,p,0)(1,1)");
706 test_for_zero(levi_civita(0, o, p, 0)(1, 2), "levi_civita(0,o,p,0)(1,2)");
707 test_for_zero(levi_civita(0, o, p, 0)(1, 3), "levi_civita(0,o,p,0)(1,3)");
708 test_for_zero(levi_civita(0, o, p, 0)(2, 0), "levi_civita(0,o,p,0)(2,0)");
709 test_for_zero(levi_civita(0, o, p, 0)(2, 1), "levi_civita(0,o,p,0)(2,1)");
710 test_for_zero(levi_civita(0, o, p, 0)(2, 2), "levi_civita(0,o,p,0)(2,2)");
711 test_for_zero(levi_civita(0, o, p, 0)(2, 3), "levi_civita(0,o,p,0)(2,3)");
712 test_for_zero(levi_civita(0, o, p, 0)(3, 0), "levi_civita(0,o,p,0)(3,0)");
713 test_for_zero(levi_civita(0, o, p, 0)(3, 1), "levi_civita(0,o,p,0)(3,1)");
714 test_for_zero(levi_civita(0, o, p, 0)(3, 2), "levi_civita(0,o,p,0)(3,2)");
715 test_for_zero(levi_civita(0, o, p, 0)(3, 3), "levi_civita(0,o,p,0)(3,3)");
716
717 test_for_zero(levi_civita(0, o, p, 1)(0, 0), "levi_civita(0,o,p,1)(0,0)");
718 test_for_zero(levi_civita(0, o, p, 1)(0, 1), "levi_civita(0,o,p,1)(0,1)");
719 test_for_zero(levi_civita(0, o, p, 1)(0, 2), "levi_civita(0,o,p,1)(0,2)");
720 test_for_zero(levi_civita(0, o, p, 1)(0, 3), "levi_civita(0,o,p,1)(0,3)");
721 test_for_zero(levi_civita(0, o, p, 1)(1, 0), "levi_civita(0,o,p,1)(1,0)");
722 test_for_zero(levi_civita(0, o, p, 1)(1, 1), "levi_civita(0,o,p,1)(1,1)");
723 test_for_zero(levi_civita(0, o, p, 1)(1, 2), "levi_civita(0,o,p,1)(1,2)");
724 test_for_zero(levi_civita(0, o, p, 1)(1, 3), "levi_civita(0,o,p,1)(1,3)");
725 test_for_zero(levi_civita(0, o, p, 1)(2, 0), "levi_civita(0,o,p,1)(2,0)");
726 test_for_zero(levi_civita(0, o, p, 1)(2, 1), "levi_civita(0,o,p,1)(2,1)");
727 test_for_zero(levi_civita(0, o, p, 1)(2, 2), "levi_civita(0,o,p,1)(2,2)");
728 test_for_zero(levi_civita(0, o, p, 1)(2, 3) - 1, "levi_civita(0,n,1)(2,3)");
729 test_for_zero(levi_civita(0, o, p, 1)(3, 0), "levi_civita(0,o,p,1)(3,0)");
730 test_for_zero(levi_civita(0, o, p, 1)(3, 1), "levi_civita(0,o,p,1)(3,1)");
731 test_for_zero(levi_civita(0, o, p, 1)(3, 2) + 1,
732 "levi_civita(0,o,p,1)(3,2)");
733 test_for_zero(levi_civita(0, o, p, 1)(3, 3), "levi_civita(0,o,p,1)(3,3)");
734
735 test_for_zero(levi_civita(0, o, p, 2)(0, 0), "levi_civita(0,o,p,2)(0,0)");
736 test_for_zero(levi_civita(0, o, p, 2)(0, 1), "levi_civita(0,o,p,2)(0,1)");
737 test_for_zero(levi_civita(0, o, p, 2)(0, 2), "levi_civita(0,o,p,2)(0,2)");
738 test_for_zero(levi_civita(0, o, p, 2)(0, 3), "levi_civita(0,o,p,2)(0,3)");
739 test_for_zero(levi_civita(0, o, p, 2)(1, 0), "levi_civita(0,o,p,2)(1,0)");
740 test_for_zero(levi_civita(0, o, p, 2)(1, 1), "levi_civita(0,o,p,2)(1,1)");
741 test_for_zero(levi_civita(0, o, p, 2)(1, 2), "levi_civita(0,o,p,2)(1,2)");
742 test_for_zero(levi_civita(0, o, p, 2)(1, 3) + 1,
743 "levi_civita(0,o,p,2)(1,3)");
744 test_for_zero(levi_civita(0, o, p, 2)(2, 0), "levi_civita(0,o,p,2)(2,0)");
745 test_for_zero(levi_civita(0, o, p, 2)(2, 1), "levi_civita(0,o,p,2)(2,1)");
746 test_for_zero(levi_civita(0, o, p, 2)(2, 2), "levi_civita(0,o,p,2)(2,2)");
747 test_for_zero(levi_civita(0, o, p, 2)(2, 3), "levi_civita(0,o,p,2)(2,3)");
748 test_for_zero(levi_civita(0, o, p, 2)(3, 0), "levi_civita(0,o,p,2)(3,0)");
749 test_for_zero(levi_civita(0, o, p, 2)(3, 1) - 1,
750 "levi_civita(0,o,p,2)(3,1)");
751 test_for_zero(levi_civita(0, o, p, 2)(3, 2), "levi_civita(0,o,p,2)(3,2)");
752 test_for_zero(levi_civita(0, o, p, 2)(3, 3), "levi_civita(0,o,p,2)(3,3)");
753
754 test_for_zero(levi_civita(0, o, p, 3)(0, 0), "levi_civita(0,o,p,3)(0,0)");
755 test_for_zero(levi_civita(0, o, p, 3)(0, 1), "levi_civita(0,o,p,3)(0,1)");
756 test_for_zero(levi_civita(0, o, p, 3)(0, 2), "levi_civita(0,o,p,3)(0,2)");
757 test_for_zero(levi_civita(0, o, p, 3)(0, 3), "levi_civita(0,o,p,3)(0,3)");
758 test_for_zero(levi_civita(0, o, p, 3)(1, 0), "levi_civita(0,o,p,3)(1,0)");
759 test_for_zero(levi_civita(0, o, p, 3)(1, 1), "levi_civita(0,o,p,3)(1,1)");
760 test_for_zero(levi_civita(0, o, p, 3)(1, 2) - 1,
761 "levi_civita(0,o,p,3)(1,2)");
762 test_for_zero(levi_civita(0, o, p, 3)(1, 3), "levi_civita(0,o,p,3)(1,3)");
763 test_for_zero(levi_civita(0, o, p, 3)(2, 0), "levi_civita(0,o,p,3)(2,0)");
764 test_for_zero(levi_civita(0, o, p, 3)(2, 1) + 1,
765 "levi_civita(0,o,p,3)(2,1)");
766 test_for_zero(levi_civita(0, o, p, 3)(2, 2), "levi_civita(0,o,p,3)(2,2)");
767 test_for_zero(levi_civita(0, o, p, 3)(2, 3), "levi_civita(0,o,p,3)(2,3)");
768 test_for_zero(levi_civita(0, o, p, 3)(3, 0), "levi_civita(0,o,p,3)(3,0)");
769 test_for_zero(levi_civita(0, o, p, 3)(3, 1), "levi_civita(0,o,p,3)(3,1)");
770 test_for_zero(levi_civita(0, o, p, 3)(3, 2), "levi_civita(0,o,p,3)(3,2)");
771 test_for_zero(levi_civita(0, o, p, 3)(3, 3), "levi_civita(0,o,p,3)(3,3)");
772
773 test_for_zero(levi_civita(1, o, p, 0)(0, 0), "levi_civita(1,o,p,0)(0,0)");
774 test_for_zero(levi_civita(1, o, p, 0)(0, 1), "levi_civita(1,o,p,0)(0,1)");
775 test_for_zero(levi_civita(1, o, p, 0)(0, 2), "levi_civita(1,o,p,0)(0,2)");
776 test_for_zero(levi_civita(1, o, p, 0)(0, 3), "levi_civita(1,o,p,0)(0,3)");
777 test_for_zero(levi_civita(1, o, p, 0)(1, 0), "levi_civita(1,o,p,0)(1,0)");
778 test_for_zero(levi_civita(1, o, p, 0)(1, 1), "levi_civita(1,o,p,0)(1,1)");
779 test_for_zero(levi_civita(1, o, p, 0)(1, 2), "levi_civita(1,o,p,0)(1,2)");
780 test_for_zero(levi_civita(1, o, p, 0)(1, 3), "levi_civita(1,o,p,0)(1,3)");
781 test_for_zero(levi_civita(1, o, p, 0)(2, 0), "levi_civita(1,o,p,0)(2,0)");
782 test_for_zero(levi_civita(1, o, p, 0)(2, 1), "levi_civita(1,o,p,0)(2,1)");
783 test_for_zero(levi_civita(1, o, p, 0)(2, 2), "levi_civita(1,o,p,0)(2,2)");
784 test_for_zero(levi_civita(1, o, p, 0)(2, 3) + 1,
785 "levi_civita(1,o,p,0)(2,3)");
786 test_for_zero(levi_civita(1, o, p, 0)(3, 0), "levi_civita(1,o,p,0)(3,0)");
787 test_for_zero(levi_civita(1, o, p, 0)(3, 1), "levi_civita(1,o,p,0)(3,1)");
788 test_for_zero(levi_civita(1, o, p, 0)(3, 2) - 1,
789 "levi_civita(1,o,p,0)(3,2)");
790 test_for_zero(levi_civita(1, o, p, 0)(3, 3), "levi_civita(1,o,p,0)(3,3)");
791
792 test_for_zero(levi_civita(1, o, p, 1)(0, 0), "levi_civita(1,o,p,1)(0,0)");
793 test_for_zero(levi_civita(1, o, p, 1)(0, 1), "levi_civita(1,o,p,1)(0,1)");
794 test_for_zero(levi_civita(1, o, p, 1)(0, 2), "levi_civita(1,o,p,1)(0,2)");
795 test_for_zero(levi_civita(1, o, p, 1)(0, 3), "levi_civita(1,o,p,1)(0,3)");
796 test_for_zero(levi_civita(1, o, p, 1)(1, 0), "levi_civita(1,o,p,1)(1,0)");
797 test_for_zero(levi_civita(1, o, p, 1)(1, 1), "levi_civita(1,o,p,1)(1,1)");
798 test_for_zero(levi_civita(1, o, p, 1)(1, 2), "levi_civita(1,o,p,1)(1,2)");
799 test_for_zero(levi_civita(1, o, p, 1)(1, 3), "levi_civita(1,o,p,1)(1,3)");
800 test_for_zero(levi_civita(1, o, p, 1)(2, 0), "levi_civita(1,o,p,1)(2,0)");
801 test_for_zero(levi_civita(1, o, p, 1)(2, 1), "levi_civita(1,o,p,1)(2,1)");
802 test_for_zero(levi_civita(1, o, p, 1)(2, 2), "levi_civita(1,o,p,1)(2,2)");
803 test_for_zero(levi_civita(1, o, p, 1)(2, 3), "levi_civita(1,o,p,1)(2,3)");
804 test_for_zero(levi_civita(1, o, p, 1)(3, 0), "levi_civita(1,o,p,1)(3,0)");
805 test_for_zero(levi_civita(1, o, p, 1)(3, 1), "levi_civita(1,o,p,1)(3,1)");
806 test_for_zero(levi_civita(1, o, p, 1)(3, 2), "levi_civita(1,o,p,1)(3,2)");
807 test_for_zero(levi_civita(1, o, p, 1)(3, 3), "levi_civita(1,o,p,1)(3,3)");
808
809 test_for_zero(levi_civita(1, o, p, 2)(0, 0), "levi_civita(1,o,p,2)(0,0)");
810 test_for_zero(levi_civita(1, o, p, 2)(0, 1), "levi_civita(1,o,p,2)(0,1)");
811 test_for_zero(levi_civita(1, o, p, 2)(0, 2), "levi_civita(1,o,p,2)(0,2)");
812 test_for_zero(levi_civita(1, o, p, 2)(0, 3) - 1,
813 "levi_civita(1,o,p,2)(0,3)");
814 test_for_zero(levi_civita(1, o, p, 2)(1, 0), "levi_civita(1,o,p,2)(1,0)");
815 test_for_zero(levi_civita(1, o, p, 2)(1, 1), "levi_civita(1,o,p,2)(1,1)");
816 test_for_zero(levi_civita(1, o, p, 2)(1, 2), "levi_civita(1,o,p,2)(1,2)");
817 test_for_zero(levi_civita(1, o, p, 2)(1, 3), "levi_civita(1,o,p,2)(1,3)");
818 test_for_zero(levi_civita(1, o, p, 2)(2, 0), "levi_civita(1,o,p,2)(2,0)");
819 test_for_zero(levi_civita(1, o, p, 2)(2, 1), "levi_civita(1,o,p,2)(2,1)");
820 test_for_zero(levi_civita(1, o, p, 2)(2, 2), "levi_civita(1,o,p,2)(2,2)");
821 test_for_zero(levi_civita(1, o, p, 2)(2, 3), "levi_civita(1,o,p,2)(2,3)");
822 test_for_zero(levi_civita(1, o, p, 2)(3, 0) + 1,
823 "levi_civita(1,o,p,2)(3,0)");
824 test_for_zero(levi_civita(1, o, p, 2)(3, 1), "levi_civita(1,o,p,2)(3,1)");
825 test_for_zero(levi_civita(1, o, p, 2)(3, 2), "levi_civita(1,o,p,2)(3,2)");
826 test_for_zero(levi_civita(1, o, p, 2)(3, 3), "levi_civita(1,o,p,2)(3,3)");
827
828 test_for_zero(levi_civita(1, o, p, 3)(0, 0), "levi_civita(1,o,p,3)(0,0)");
829 test_for_zero(levi_civita(1, o, p, 3)(0, 1), "levi_civita(1,o,p,3)(0,1)");
830 test_for_zero(levi_civita(1, o, p, 3)(0, 2) + 1,
831 "levi_civita(1,o,p,3)(0,2)");
832 test_for_zero(levi_civita(1, o, p, 3)(0, 3), "levi_civita(1,o,p,3)(0,3)");
833 test_for_zero(levi_civita(1, o, p, 3)(1, 0), "levi_civita(1,o,p,3)(1,0)");
834 test_for_zero(levi_civita(1, o, p, 3)(1, 1), "levi_civita(1,o,p,3)(1,1)");
835 test_for_zero(levi_civita(1, o, p, 3)(1, 2), "levi_civita(1,o,p,3)(1,2)");
836 test_for_zero(levi_civita(1, o, p, 3)(1, 3), "levi_civita(1,o,p,3)(1,3)");
837 test_for_zero(levi_civita(1, o, p, 3)(2, 0) - 1,
838 "levi_civita(1,o,p,3)(2,0)");
839 test_for_zero(levi_civita(1, o, p, 3)(2, 1), "levi_civita(1,o,p,3)(2,1)");
840 test_for_zero(levi_civita(1, o, p, 3)(2, 2), "levi_civita(1,o,p,3)(2,2)");
841 test_for_zero(levi_civita(1, o, p, 3)(2, 3), "levi_civita(1,o,p,3)(2,3)");
842 test_for_zero(levi_civita(1, o, p, 3)(3, 0), "levi_civita(1,o,p,3)(3,0)");
843 test_for_zero(levi_civita(1, o, p, 3)(3, 1), "levi_civita(1,o,p,3)(3,1)");
844 test_for_zero(levi_civita(1, o, p, 3)(3, 2), "levi_civita(1,o,p,3)(3,2)");
845 test_for_zero(levi_civita(1, o, p, 3)(3, 3), "levi_civita(1,o,p,3)(3,3)");
846
847 test_for_zero(levi_civita(2, o, p, 0)(0, 0), "levi_civita(2,o,p,0)(0,0)");
848 test_for_zero(levi_civita(2, o, p, 0)(0, 1), "levi_civita(2,o,p,0)(0,1)");
849 test_for_zero(levi_civita(2, o, p, 0)(0, 2), "levi_civita(2,o,p,0)(0,2)");
850 test_for_zero(levi_civita(2, o, p, 0)(0, 3), "levi_civita(2,o,p,0)(0,3)");
851 test_for_zero(levi_civita(2, o, p, 0)(1, 0), "levi_civita(2,o,p,0)(1,0)");
852 test_for_zero(levi_civita(2, o, p, 0)(1, 1), "levi_civita(2,o,p,0)(1,1)");
853 test_for_zero(levi_civita(2, o, p, 0)(1, 2), "levi_civita(2,o,p,0)(1,2)");
854 test_for_zero(levi_civita(2, o, p, 0)(1, 3) - 1,
855 "levi_civita(2,o,p,0)(1,3)");
856 test_for_zero(levi_civita(2, o, p, 0)(2, 0), "levi_civita(2,o,p,0)(2,0)");
857 test_for_zero(levi_civita(2, o, p, 0)(2, 1), "levi_civita(2,o,p,0)(2,1)");
858 test_for_zero(levi_civita(2, o, p, 0)(2, 2), "levi_civita(2,o,p,0)(2,2)");
859 test_for_zero(levi_civita(2, o, p, 0)(2, 3), "levi_civita(2,o,p,0)(2,3)");
860 test_for_zero(levi_civita(2, o, p, 0)(3, 0), "levi_civita(2,o,p,0)(3,0)");
861 test_for_zero(levi_civita(2, o, p, 0)(3, 1) + 1,
862 "levi_civita(2,o,p,0)(3,1)");
863 test_for_zero(levi_civita(2, o, p, 0)(3, 2), "levi_civita(2,o,p,0)(3,2)");
864 test_for_zero(levi_civita(2, o, p, 0)(3, 3), "levi_civita(2,o,p,0)(3,3)");
865
866 test_for_zero(levi_civita(2, o, p, 1)(0, 0), "levi_civita(2,o,p,1)(0,0)");
867 test_for_zero(levi_civita(2, o, p, 1)(0, 1), "levi_civita(2,o,p,1)(0,1)");
868 test_for_zero(levi_civita(2, o, p, 1)(0, 2), "levi_civita(2,o,p,1)(0,2)");
869 test_for_zero(levi_civita(2, o, p, 1)(0, 3) + 1,
870 "levi_civita(2,o,p,1)(0,3)");
871 test_for_zero(levi_civita(2, o, p, 1)(1, 0), "levi_civita(2,o,p,1)(1,0)");
872 test_for_zero(levi_civita(2, o, p, 1)(1, 1), "levi_civita(2,o,p,1)(1,1)");
873 test_for_zero(levi_civita(2, o, p, 1)(1, 2), "levi_civita(2,o,p,1)(1,2)");
874 test_for_zero(levi_civita(2, o, p, 1)(1, 3), "levi_civita(2,o,p,1)(1,3)");
875 test_for_zero(levi_civita(2, o, p, 1)(2, 0), "levi_civita(2,o,p,1)(2,0)");
876 test_for_zero(levi_civita(2, o, p, 1)(2, 1), "levi_civita(2,o,p,1)(2,1)");
877 test_for_zero(levi_civita(2, o, p, 1)(2, 2), "levi_civita(2,o,p,1)(2,2)");
878 test_for_zero(levi_civita(2, o, p, 1)(2, 3), "levi_civita(2,o,p,1)(2,3)");
879 test_for_zero(levi_civita(2, o, p, 1)(3, 0) - 1,
880 "levi_civita(2,o,p,1)(3,0)");
881 test_for_zero(levi_civita(2, o, p, 1)(3, 1), "levi_civita(2,o,p,1)(3,1)");
882 test_for_zero(levi_civita(2, o, p, 1)(3, 2), "levi_civita(2,o,p,1)(3,2)");
883 test_for_zero(levi_civita(2, o, p, 1)(3, 3), "levi_civita(2,o,p,1)(3,3)");
884
885 test_for_zero(levi_civita(2, o, p, 2)(0, 0), "levi_civita(2,o,p,2)(0,0)");
886 test_for_zero(levi_civita(2, o, p, 2)(0, 1), "levi_civita(2,o,p,2)(0,1)");
887 test_for_zero(levi_civita(2, o, p, 2)(0, 2), "levi_civita(2,o,p,2)(0,2)");
888 test_for_zero(levi_civita(2, o, p, 2)(0, 3), "levi_civita(2,o,p,2)(0,3)");
889 test_for_zero(levi_civita(2, o, p, 2)(1, 0), "levi_civita(2,o,p,2)(1,0)");
890 test_for_zero(levi_civita(2, o, p, 2)(1, 1), "levi_civita(2,o,p,2)(1,1)");
891 test_for_zero(levi_civita(2, o, p, 2)(1, 2), "levi_civita(2,o,p,2)(1,2)");
892 test_for_zero(levi_civita(2, o, p, 2)(1, 3), "levi_civita(2,o,p,2)(1,3)");
893 test_for_zero(levi_civita(2, o, p, 2)(2, 0), "levi_civita(2,o,p,2)(2,0)");
894 test_for_zero(levi_civita(2, o, p, 2)(2, 1), "levi_civita(2,o,p,2)(2,1)");
895 test_for_zero(levi_civita(2, o, p, 2)(2, 2), "levi_civita(2,o,p,2)(2,2)");
896 test_for_zero(levi_civita(2, o, p, 2)(2, 3), "levi_civita(2,o,p,2)(2,3)");
897 test_for_zero(levi_civita(2, o, p, 2)(3, 0), "levi_civita(2,o,p,2)(3,0)");
898 test_for_zero(levi_civita(2, o, p, 2)(3, 1), "levi_civita(2,o,p,2)(3,1)");
899 test_for_zero(levi_civita(2, o, p, 2)(3, 2), "levi_civita(2,o,p,2)(3,2)");
900 test_for_zero(levi_civita(2, o, p, 2)(3, 3), "levi_civita(2,o,p,2)(3,3)");
901
902 test_for_zero(levi_civita(2, o, p, 3)(0, 0), "levi_civita(2,o,p,3)(0,0)");
903 test_for_zero(levi_civita(2, o, p, 3)(0, 1) - 1,
904 "levi_civita(2,o,p,3)(0,1)");
905 test_for_zero(levi_civita(2, o, p, 3)(0, 2), "levi_civita(2,o,p,3)(0,2)");
906 test_for_zero(levi_civita(2, o, p, 3)(0, 3), "levi_civita(2,o,p,3)(0,3)");
907 test_for_zero(levi_civita(2, o, p, 3)(1, 0) + 1,
908 "levi_civita(2,o,p,3)(1,0)");
909 test_for_zero(levi_civita(2, o, p, 3)(1, 1), "levi_civita(2,o,p,3)(1,1)");
910 test_for_zero(levi_civita(2, o, p, 3)(1, 2), "levi_civita(2,o,p,3)(1,2)");
911 test_for_zero(levi_civita(2, o, p, 3)(1, 3), "levi_civita(2,o,p,3)(1,3)");
912 test_for_zero(levi_civita(2, o, p, 3)(2, 0), "levi_civita(2,o,p,3)(2,0)");
913 test_for_zero(levi_civita(2, o, p, 3)(2, 1), "levi_civita(2,o,p,3)(2,1)");
914 test_for_zero(levi_civita(2, o, p, 3)(2, 2), "levi_civita(2,o,p,3)(2,2)");
915 test_for_zero(levi_civita(2, o, p, 3)(2, 3), "levi_civita(2,o,p,3)(2,3)");
916 test_for_zero(levi_civita(2, o, p, 3)(3, 0), "levi_civita(2,o,p,3)(3,0)");
917 test_for_zero(levi_civita(2, o, p, 3)(3, 1), "levi_civita(2,o,p,3)(3,1)");
918 test_for_zero(levi_civita(2, o, p, 3)(3, 2), "levi_civita(2,o,p,3)(3,2)");
919 test_for_zero(levi_civita(2, o, p, 3)(3, 3), "levi_civita(2,o,p,3)(3,3)");
920
921 test_for_zero(levi_civita(3, o, p, 0)(0, 0), "levi_civita(3,o,p,0)(0,0)");
922 test_for_zero(levi_civita(3, o, p, 0)(0, 1), "levi_civita(3,o,p,0)(0,1)");
923 test_for_zero(levi_civita(3, o, p, 0)(0, 2), "levi_civita(3,o,p,0)(0,2)");
924 test_for_zero(levi_civita(3, o, p, 0)(0, 3), "levi_civita(3,o,p,0)(0,3)");
925 test_for_zero(levi_civita(3, o, p, 0)(1, 0), "levi_civita(3,o,p,0)(1,0)");
926 test_for_zero(levi_civita(3, o, p, 0)(1, 1), "levi_civita(3,o,p,0)(1,1)");
927 test_for_zero(levi_civita(3, o, p, 0)(1, 2) + 1,
928 "levi_civita(3,o,p,0)(1,2)");
929 test_for_zero(levi_civita(3, o, p, 0)(1, 3), "levi_civita(3,o,p,0)(1,3)");
930 test_for_zero(levi_civita(3, o, p, 0)(2, 0), "levi_civita(3,o,p,0)(2,0)");
931 test_for_zero(levi_civita(3, o, p, 0)(2, 1) - 1,
932 "levi_civita(3,o,p,0)(2,1)");
933 test_for_zero(levi_civita(3, o, p, 0)(2, 2), "levi_civita(3,o,p,0)(2,2)");
934 test_for_zero(levi_civita(3, o, p, 0)(2, 3), "levi_civita(3,o,p,0)(2,3)");
935 test_for_zero(levi_civita(3, o, p, 0)(3, 0), "levi_civita(3,o,p,0)(3,0)");
936 test_for_zero(levi_civita(3, o, p, 0)(3, 1), "levi_civita(3,o,p,0)(3,1)");
937 test_for_zero(levi_civita(3, o, p, 0)(3, 2), "levi_civita(3,o,p,0)(3,2)");
938 test_for_zero(levi_civita(3, o, p, 0)(3, 3), "levi_civita(3,o,p,0)(3,3)");
939
940 test_for_zero(levi_civita(3, o, p, 1)(0, 0), "levi_civita(3,o,p,1)(0,0)");
941 test_for_zero(levi_civita(3, o, p, 1)(0, 1), "levi_civita(3,o,p,1)(0,1)");
942 test_for_zero(levi_civita(3, o, p, 1)(0, 2) - 1,
943 "levi_civita(3,o,p,1)(0,2)");
944 test_for_zero(levi_civita(3, o, p, 1)(0, 3), "levi_civita(3,o,p,1)(0,3)");
945 test_for_zero(levi_civita(3, o, p, 1)(1, 0), "levi_civita(3,o,p,1)(1,0)");
946 test_for_zero(levi_civita(3, o, p, 1)(1, 1), "levi_civita(3,o,p,1)(1,1)");
947 test_for_zero(levi_civita(3, o, p, 1)(1, 2), "levi_civita(3,o,p,1)(1,2)");
948 test_for_zero(levi_civita(3, o, p, 1)(1, 3), "levi_civita(3,o,p,1)(1,3)");
949 test_for_zero(levi_civita(3, o, p, 1)(2, 0) + 1,
950 "levi_civita(3,o,p,1)(2,0)");
951 test_for_zero(levi_civita(3, o, p, 1)(2, 1), "levi_civita(3,o,p,1)(2,1)");
952 test_for_zero(levi_civita(3, o, p, 1)(2, 2), "levi_civita(3,o,p,1)(2,2)");
953 test_for_zero(levi_civita(3, o, p, 1)(2, 3), "levi_civita(3,o,p,1)(2,3)");
954 test_for_zero(levi_civita(3, o, p, 1)(3, 0), "levi_civita(3,o,p,1)(3,0)");
955 test_for_zero(levi_civita(3, o, p, 1)(3, 1), "levi_civita(3,o,p,1)(3,1)");
956 test_for_zero(levi_civita(3, o, p, 1)(3, 2), "levi_civita(3,o,p,1)(3,2)");
957 test_for_zero(levi_civita(3, o, p, 1)(3, 3), "levi_civita(3,o,p,1)(3,3)");
958
959 test_for_zero(levi_civita(3, o, p, 2)(0, 0), "levi_civita(3,o,p,2)(0,0)");
960 test_for_zero(levi_civita(3, o, p, 2)(0, 1) + 1,
961 "levi_civita(3,o,p,2)(0,1)");
962 test_for_zero(levi_civita(3, o, p, 2)(0, 2), "levi_civita(3,o,p,2)(0,2)");
963 test_for_zero(levi_civita(3, o, p, 2)(0, 3), "levi_civita(3,o,p,2)(0,3)");
964 test_for_zero(levi_civita(3, o, p, 2)(1, 0) - 1,
965 "levi_civita(3,o,p,2)(1,0)");
966 test_for_zero(levi_civita(3, o, p, 2)(1, 1), "levi_civita(3,o,p,2)(1,1)");
967 test_for_zero(levi_civita(3, o, p, 2)(1, 2), "levi_civita(3,o,p,2)(1,2)");
968 test_for_zero(levi_civita(3, o, p, 2)(1, 3), "levi_civita(3,o,p,2)(1,3)");
969 test_for_zero(levi_civita(3, o, p, 2)(2, 0), "levi_civita(3,o,p,2)(2,0)");
970 test_for_zero(levi_civita(3, o, p, 2)(2, 1), "levi_civita(3,o,p,2)(2,1)");
971 test_for_zero(levi_civita(3, o, p, 2)(2, 2), "levi_civita(3,o,p,2)(2,2)");
972 test_for_zero(levi_civita(3, o, p, 2)(2, 3), "levi_civita(3,o,p,2)(2,3)");
973 test_for_zero(levi_civita(3, o, p, 2)(3, 0), "levi_civita(3,o,p,2)(3,0)");
974 test_for_zero(levi_civita(3, o, p, 2)(3, 1), "levi_civita(3,o,p,2)(3,1)");
975 test_for_zero(levi_civita(3, o, p, 2)(3, 2), "levi_civita(3,o,p,2)(3,2)");
976 test_for_zero(levi_civita(3, o, p, 2)(3, 3), "levi_civita(3,o,p,2)(3,3)");
977
978 test_for_zero(levi_civita(3, o, p, 3)(0, 0), "levi_civita(3,o,p,3)(0,0)");
979 test_for_zero(levi_civita(3, o, p, 3)(0, 1), "levi_civita(3,o,p,3)(0,1)");
980 test_for_zero(levi_civita(3, o, p, 3)(0, 2), "levi_civita(3,o,p,3)(0,2)");
981 test_for_zero(levi_civita(3, o, p, 3)(0, 3), "levi_civita(3,o,p,3)(0,3)");
982 test_for_zero(levi_civita(3, o, p, 3)(1, 0), "levi_civita(3,o,p,3)(1,0)");
983 test_for_zero(levi_civita(3, o, p, 3)(1, 1), "levi_civita(3,o,p,3)(1,1)");
984 test_for_zero(levi_civita(3, o, p, 3)(1, 2), "levi_civita(3,o,p,3)(1,2)");
985 test_for_zero(levi_civita(3, o, p, 3)(1, 3), "levi_civita(3,o,p,3)(1,3)");
986 test_for_zero(levi_civita(3, o, p, 3)(2, 0), "levi_civita(3,o,p,3)(2,0)");
987 test_for_zero(levi_civita(3, o, p, 3)(2, 1), "levi_civita(3,o,p,3)(2,1)");
988 test_for_zero(levi_civita(3, o, p, 3)(2, 2), "levi_civita(3,o,p,3)(2,2)");
989 test_for_zero(levi_civita(3, o, p, 3)(2, 3), "levi_civita(3,o,p,3)(2,3)");
990 test_for_zero(levi_civita(3, o, p, 3)(3, 0), "levi_civita(3,o,p,3)(3,0)");
991 test_for_zero(levi_civita(3, o, p, 3)(3, 1), "levi_civita(3,o,p,3)(3,1)");
992 test_for_zero(levi_civita(3, o, p, 3)(3, 2), "levi_civita(3,o,p,3)(3,2)");
993 test_for_zero(levi_civita(3, o, p, 3)(3, 3), "levi_civita(3,o,p,3)(3,3)");
994
995 test_for_zero(levi_civita(n, 0, 0, q)(0, 0), "levi_civita(n,0,0,q)(0,0)");
996 test_for_zero(levi_civita(n, 0, 0, q)(0, 1), "levi_civita(n,0,0,q)(0,1)");
997 test_for_zero(levi_civita(n, 0, 0, q)(0, 2), "levi_civita(n,0,0,q)(0,2)");
998 test_for_zero(levi_civita(n, 0, 0, q)(0, 3), "levi_civita(n,0,0,q)(0,3)");
999 test_for_zero(levi_civita(n, 0, 0, q)(1, 0), "levi_civita(n,0,0,q)(1,0)");
1000 test_for_zero(levi_civita(n, 0, 0, q)(1, 1), "levi_civita(n,0,0,q)(1,1)");
1001 test_for_zero(levi_civita(n, 0, 0, q)(1, 2), "levi_civita(n,0,0,q)(1,2)");
1002 test_for_zero(levi_civita(n, 0, 0, q)(1, 3), "levi_civita(n,0,0,q)(1,3)");
1003 test_for_zero(levi_civita(n, 0, 0, q)(2, 0), "levi_civita(n,0,0,q)(2,0)");
1004 test_for_zero(levi_civita(n, 0, 0, q)(2, 1), "levi_civita(n,0,0,q)(2,1)");
1005 test_for_zero(levi_civita(n, 0, 0, q)(2, 2), "levi_civita(n,0,0,q)(2,2)");
1006 test_for_zero(levi_civita(n, 0, 0, q)(2, 3), "levi_civita(n,0,0,q)(2,3)");
1007 test_for_zero(levi_civita(n, 0, 0, q)(3, 0), "levi_civita(n,0,0,q)(3,0)");
1008 test_for_zero(levi_civita(n, 0, 0, q)(3, 1), "levi_civita(n,0,0,q)(3,1)");
1009 test_for_zero(levi_civita(n, 0, 0, q)(3, 2), "levi_civita(n,0,0,q)(3,2)");
1010 test_for_zero(levi_civita(n, 0, 0, q)(3, 3), "levi_civita(n,0,0,q)(3,3)");
1011
1012 test_for_zero(levi_civita(n, 0, 1, q)(0, 0), "levi_civita(n,0,1,q)(0,0)");
1013 test_for_zero(levi_civita(n, 0, 1, q)(0, 1), "levi_civita(n,0,1,q)(0,1)");
1014 test_for_zero(levi_civita(n, 0, 1, q)(0, 2), "levi_civita(n,0,1,q)(0,2)");
1015 test_for_zero(levi_civita(n, 0, 1, q)(0, 3), "levi_civita(n,0,1,q)(0,3)");
1016 test_for_zero(levi_civita(n, 0, 1, q)(1, 0), "levi_civita(n,0,1,q)(1,0)");
1017 test_for_zero(levi_civita(n, 0, 1, q)(1, 1), "levi_civita(n,0,1,q)(1,1)");
1018 test_for_zero(levi_civita(n, 0, 1, q)(1, 2), "levi_civita(n,0,1,q)(1,2)");
1019 test_for_zero(levi_civita(n, 0, 1, q)(1, 3), "levi_civita(n,0,1,q)(1,3)");
1020 test_for_zero(levi_civita(n, 0, 1, q)(2, 0), "levi_civita(n,0,1,q)(2,0)");
1021 test_for_zero(levi_civita(n, 0, 1, q)(2, 1), "levi_civita(n,0,1,q)(2,1)");
1022 test_for_zero(levi_civita(n, 0, 1, q)(2, 2), "levi_civita(n,0,1,q)(2,2)");
1023 test_for_zero(levi_civita(n, 0, 1, q)(2, 3) - 1,
1024 "levi_civita(n,0,n,1,q)(2,3)");
1025 test_for_zero(levi_civita(n, 0, 1, q)(3, 0), "levi_civita(n,0,1,q)(3,0)");
1026 test_for_zero(levi_civita(n, 0, 1, q)(3, 1), "levi_civita(n,0,1,q)(3,1)");
1027 test_for_zero(levi_civita(n, 0, 1, q)(3, 2) + 1,
1028 "levi_civita(n,0,1,q)(3,2)");
1029 test_for_zero(levi_civita(n, 0, 1, q)(3, 3), "levi_civita(n,0,1,q)(3,3)");
1030
1031 test_for_zero(levi_civita(n, 0, 2, q)(0, 0), "levi_civita(n,0,2,q)(0,0)");
1032 test_for_zero(levi_civita(n, 0, 2, q)(0, 1), "levi_civita(n,0,2,q)(0,1)");
1033 test_for_zero(levi_civita(n, 0, 2, q)(0, 2), "levi_civita(n,0,2,q)(0,2)");
1034 test_for_zero(levi_civita(n, 0, 2, q)(0, 3), "levi_civita(n,0,2,q)(0,3)");
1035 test_for_zero(levi_civita(n, 0, 2, q)(1, 0), "levi_civita(n,0,2,q)(1,0)");
1036 test_for_zero(levi_civita(n, 0, 2, q)(1, 1), "levi_civita(n,0,2,q)(1,1)");
1037 test_for_zero(levi_civita(n, 0, 2, q)(1, 2), "levi_civita(n,0,2,q)(1,2)");
1038 test_for_zero(levi_civita(n, 0, 2, q)(1, 3) + 1,
1039 "levi_civita(n,0,2,q)(1,3)");
1040 test_for_zero(levi_civita(n, 0, 2, q)(2, 0), "levi_civita(n,0,2,q)(2,0)");
1041 test_for_zero(levi_civita(n, 0, 2, q)(2, 1), "levi_civita(n,0,2,q)(2,1)");
1042 test_for_zero(levi_civita(n, 0, 2, q)(2, 2), "levi_civita(n,0,2,q)(2,2)");
1043 test_for_zero(levi_civita(n, 0, 2, q)(2, 3), "levi_civita(n,0,2,q)(2,3)");
1044 test_for_zero(levi_civita(n, 0, 2, q)(3, 0), "levi_civita(n,0,2,q)(3,0)");
1045 test_for_zero(levi_civita(n, 0, 2, q)(3, 1) - 1,
1046 "levi_civita(n,0,2,q)(3,1)");
1047 test_for_zero(levi_civita(n, 0, 2, q)(3, 2), "levi_civita(n,0,2,q)(3,2)");
1048 test_for_zero(levi_civita(n, 0, 2, q)(3, 3), "levi_civita(n,0,2,q)(3,3)");
1049
1050 test_for_zero(levi_civita(n, 0, 3, q)(0, 0), "levi_civita(n,0,3,q)(0,0)");
1051 test_for_zero(levi_civita(n, 0, 3, q)(0, 1), "levi_civita(n,0,3,q)(0,1)");
1052 test_for_zero(levi_civita(n, 0, 3, q)(0, 2), "levi_civita(n,0,3,q)(0,2)");
1053 test_for_zero(levi_civita(n, 0, 3, q)(0, 3), "levi_civita(n,0,3,q)(0,3)");
1054 test_for_zero(levi_civita(n, 0, 3, q)(1, 0), "levi_civita(n,0,3,q)(1,0)");
1055 test_for_zero(levi_civita(n, 0, 3, q)(1, 1), "levi_civita(n,0,3,q)(1,1)");
1056 test_for_zero(levi_civita(n, 0, 3, q)(1, 2) - 1,
1057 "levi_civita(n,0,3,q)(1,2)");
1058 test_for_zero(levi_civita(n, 0, 3, q)(1, 3), "levi_civita(n,0,3,q)(1,3)");
1059 test_for_zero(levi_civita(n, 0, 3, q)(2, 0), "levi_civita(n,0,3,q)(2,0)");
1060 test_for_zero(levi_civita(n, 0, 3, q)(2, 1) + 1,
1061 "levi_civita(n,0,3,q)(2,1)");
1062 test_for_zero(levi_civita(n, 0, 3, q)(2, 2), "levi_civita(n,0,3,q)(2,2)");
1063 test_for_zero(levi_civita(n, 0, 3, q)(2, 3), "levi_civita(n,0,3,q)(2,3)");
1064 test_for_zero(levi_civita(n, 0, 3, q)(3, 0), "levi_civita(n,0,3,q)(3,0)");
1065 test_for_zero(levi_civita(n, 0, 3, q)(3, 1), "levi_civita(n,0,3,q)(3,1)");
1066 test_for_zero(levi_civita(n, 0, 3, q)(3, 2), "levi_civita(n,0,3,q)(3,2)");
1067 test_for_zero(levi_civita(n, 0, 3, q)(3, 3), "levi_civita(n,0,3,q)(3,3)");
1068
1069 test_for_zero(levi_civita(n, 1, 0, q)(0, 0), "levi_civita(n,1,0,q)(0,0)");
1070 test_for_zero(levi_civita(n, 1, 0, q)(0, 1), "levi_civita(n,1,0,q)(0,1)");
1071 test_for_zero(levi_civita(n, 1, 0, q)(0, 2), "levi_civita(n,1,0,q)(0,2)");
1072 test_for_zero(levi_civita(n, 1, 0, q)(0, 3), "levi_civita(n,1,0,q)(0,3)");
1073 test_for_zero(levi_civita(n, 1, 0, q)(1, 0), "levi_civita(n,1,0,q)(1,0)");
1074 test_for_zero(levi_civita(n, 1, 0, q)(1, 1), "levi_civita(n,1,0,q)(1,1)");
1075 test_for_zero(levi_civita(n, 1, 0, q)(1, 2), "levi_civita(n,1,0,q)(1,2)");
1076 test_for_zero(levi_civita(n, 1, 0, q)(1, 3), "levi_civita(n,1,0,q)(1,3)");
1077 test_for_zero(levi_civita(n, 1, 0, q)(2, 0), "levi_civita(n,1,0,q)(2,0)");
1078 test_for_zero(levi_civita(n, 1, 0, q)(2, 1), "levi_civita(n,1,0,q)(2,1)");
1079 test_for_zero(levi_civita(n, 1, 0, q)(2, 2), "levi_civita(n,1,0,q)(2,2)");
1080 test_for_zero(levi_civita(n, 1, 0, q)(2, 3) + 1,
1081 "levi_civita(n,1,0,q)(2,3)");
1082 test_for_zero(levi_civita(n, 1, 0, q)(3, 0), "levi_civita(n,1,0,q)(3,0)");
1083 test_for_zero(levi_civita(n, 1, 0, q)(3, 1), "levi_civita(n,1,0,q)(3,1)");
1084 test_for_zero(levi_civita(n, 1, 0, q)(3, 2) - 1,
1085 "levi_civita(n,1,0,q)(3,2)");
1086 test_for_zero(levi_civita(n, 1, 0, q)(3, 3), "levi_civita(n,1,0,q)(3,3)");
1087
1088 test_for_zero(levi_civita(n, 1, 1, q)(0, 0), "levi_civita(n,1,1,q)(0,0)");
1089 test_for_zero(levi_civita(n, 1, 1, q)(0, 1), "levi_civita(n,1,1,q)(0,1)");
1090 test_for_zero(levi_civita(n, 1, 1, q)(0, 2), "levi_civita(n,1,1,q)(0,2)");
1091 test_for_zero(levi_civita(n, 1, 1, q)(0, 3), "levi_civita(n,1,1,q)(0,3)");
1092 test_for_zero(levi_civita(n, 1, 1, q)(1, 0), "levi_civita(n,1,1,q)(1,0)");
1093 test_for_zero(levi_civita(n, 1, 1, q)(1, 1), "levi_civita(n,1,1,q)(1,1)");
1094 test_for_zero(levi_civita(n, 1, 1, q)(1, 2), "levi_civita(n,1,1,q)(1,2)");
1095 test_for_zero(levi_civita(n, 1, 1, q)(1, 3), "levi_civita(n,1,1,q)(1,3)");
1096 test_for_zero(levi_civita(n, 1, 1, q)(2, 0), "levi_civita(n,1,1,q)(2,0)");
1097 test_for_zero(levi_civita(n, 1, 1, q)(2, 1), "levi_civita(n,1,1,q)(2,1)");
1098 test_for_zero(levi_civita(n, 1, 1, q)(2, 2), "levi_civita(n,1,1,q)(2,2)");
1099 test_for_zero(levi_civita(n, 1, 1, q)(2, 3), "levi_civita(n,1,1,q)(2,3)");
1100 test_for_zero(levi_civita(n, 1, 1, q)(3, 0), "levi_civita(n,1,1,q)(3,0)");
1101 test_for_zero(levi_civita(n, 1, 1, q)(3, 1), "levi_civita(n,1,1,q)(3,1)");
1102 test_for_zero(levi_civita(n, 1, 1, q)(3, 2), "levi_civita(n,1,1,q)(3,2)");
1103 test_for_zero(levi_civita(n, 1, 1, q)(3, 3), "levi_civita(n,1,1,q)(3,3)");
1104
1105 test_for_zero(levi_civita(n, 1, 2, q)(0, 0), "levi_civita(n,1,2,q)(0,0)");
1106 test_for_zero(levi_civita(n, 1, 2, q)(0, 1), "levi_civita(n,1,2,q)(0,1)");
1107 test_for_zero(levi_civita(n, 1, 2, q)(0, 2), "levi_civita(n,1,2,q)(0,2)");
1108 test_for_zero(levi_civita(n, 1, 2, q)(0, 3) - 1,
1109 "levi_civita(n,1,2,q)(0,3)");
1110 test_for_zero(levi_civita(n, 1, 2, q)(1, 0), "levi_civita(n,1,2,q)(1,0)");
1111 test_for_zero(levi_civita(n, 1, 2, q)(1, 1), "levi_civita(n,1,2,q)(1,1)");
1112 test_for_zero(levi_civita(n, 1, 2, q)(1, 2), "levi_civita(n,1,2,q)(1,2)");
1113 test_for_zero(levi_civita(n, 1, 2, q)(1, 3), "levi_civita(n,1,2,q)(1,3)");
1114 test_for_zero(levi_civita(n, 1, 2, q)(2, 0), "levi_civita(n,1,2,q)(2,0)");
1115 test_for_zero(levi_civita(n, 1, 2, q)(2, 1), "levi_civita(n,1,2,q)(2,1)");
1116 test_for_zero(levi_civita(n, 1, 2, q)(2, 2), "levi_civita(n,1,2,q)(2,2)");
1117 test_for_zero(levi_civita(n, 1, 2, q)(2, 3), "levi_civita(n,1,2,q)(2,3)");
1118 test_for_zero(levi_civita(n, 1, 2, q)(3, 0) + 1,
1119 "levi_civita(n,1,2,q)(3,0)");
1120 test_for_zero(levi_civita(n, 1, 2, q)(3, 1), "levi_civita(n,1,2,q)(3,1)");
1121 test_for_zero(levi_civita(n, 1, 2, q)(3, 2), "levi_civita(n,1,2,q)(3,2)");
1122 test_for_zero(levi_civita(n, 1, 2, q)(3, 3), "levi_civita(n,1,2,q)(3,3)");
1123
1124 test_for_zero(levi_civita(n, 1, 3, q)(0, 0), "levi_civita(n,1,3,q)(0,0)");
1125 test_for_zero(levi_civita(n, 1, 3, q)(0, 1), "levi_civita(n,1,3,q)(0,1)");
1126 test_for_zero(levi_civita(n, 1, 3, q)(0, 2) + 1,
1127 "levi_civita(n,1,3,q)(0,2)");
1128 test_for_zero(levi_civita(n, 1, 3, q)(0, 3), "levi_civita(n,1,3,q)(0,3)");
1129 test_for_zero(levi_civita(n, 1, 3, q)(1, 0), "levi_civita(n,1,3,q)(1,0)");
1130 test_for_zero(levi_civita(n, 1, 3, q)(1, 1), "levi_civita(n,1,3,q)(1,1)");
1131 test_for_zero(levi_civita(n, 1, 3, q)(1, 2), "levi_civita(n,1,3,q)(1,2)");
1132 test_for_zero(levi_civita(n, 1, 3, q)(1, 3), "levi_civita(n,1,3,q)(1,3)");
1133 test_for_zero(levi_civita(n, 1, 3, q)(2, 0) - 1,
1134 "levi_civita(n,1,3,q)(2,0)");
1135 test_for_zero(levi_civita(n, 1, 3, q)(2, 1), "levi_civita(n,1,3,q)(2,1)");
1136 test_for_zero(levi_civita(n, 1, 3, q)(2, 2), "levi_civita(n,1,3,q)(2,2)");
1137 test_for_zero(levi_civita(n, 1, 3, q)(2, 3), "levi_civita(n,1,3,q)(2,3)");
1138 test_for_zero(levi_civita(n, 1, 3, q)(3, 0), "levi_civita(n,1,3,q)(3,0)");
1139 test_for_zero(levi_civita(n, 1, 3, q)(3, 1), "levi_civita(n,1,3,q)(3,1)");
1140 test_for_zero(levi_civita(n, 1, 3, q)(3, 2), "levi_civita(n,1,3,q)(3,2)");
1141 test_for_zero(levi_civita(n, 1, 3, q)(3, 3), "levi_civita(n,1,3,q)(3,3)");
1142
1143 test_for_zero(levi_civita(n, 2, 0, q)(0, 0), "levi_civita(n,2,0,q)(0,0)");
1144 test_for_zero(levi_civita(n, 2, 0, q)(0, 1), "levi_civita(n,2,0,q)(0,1)");
1145 test_for_zero(levi_civita(n, 2, 0, q)(0, 2), "levi_civita(n,2,0,q)(0,2)");
1146 test_for_zero(levi_civita(n, 2, 0, q)(0, 3), "levi_civita(n,2,0,q)(0,3)");
1147 test_for_zero(levi_civita(n, 2, 0, q)(1, 0), "levi_civita(n,2,0,q)(1,0)");
1148 test_for_zero(levi_civita(n, 2, 0, q)(1, 1), "levi_civita(n,2,0,q)(1,1)");
1149 test_for_zero(levi_civita(n, 2, 0, q)(1, 2), "levi_civita(n,2,0,q)(1,2)");
1150 test_for_zero(levi_civita(n, 2, 0, q)(1, 3) - 1,
1151 "levi_civita(n,2,0,q)(1,3)");
1152 test_for_zero(levi_civita(n, 2, 0, q)(2, 0), "levi_civita(n,2,0,q)(2,0)");
1153 test_for_zero(levi_civita(n, 2, 0, q)(2, 1), "levi_civita(n,2,0,q)(2,1)");
1154 test_for_zero(levi_civita(n, 2, 0, q)(2, 2), "levi_civita(n,2,0,q)(2,2)");
1155 test_for_zero(levi_civita(n, 2, 0, q)(2, 3), "levi_civita(n,2,0,q)(2,3)");
1156 test_for_zero(levi_civita(n, 2, 0, q)(3, 0), "levi_civita(n,2,0,q)(3,0)");
1157 test_for_zero(levi_civita(n, 2, 0, q)(3, 1) + 1,
1158 "levi_civita(n,2,0,q)(3,1)");
1159 test_for_zero(levi_civita(n, 2, 0, q)(3, 2), "levi_civita(n,2,0,q)(3,2)");
1160 test_for_zero(levi_civita(n, 2, 0, q)(3, 3), "levi_civita(n,2,0,q)(3,3)");
1161
1162 test_for_zero(levi_civita(n, 2, 1, q)(0, 0), "levi_civita(n,2,1,q)(0,0)");
1163 test_for_zero(levi_civita(n, 2, 1, q)(0, 1), "levi_civita(n,2,1,q)(0,1)");
1164 test_for_zero(levi_civita(n, 2, 1, q)(0, 2), "levi_civita(n,2,1,q)(0,2)");
1165 test_for_zero(levi_civita(n, 2, 1, q)(0, 3) + 1,
1166 "levi_civita(n,2,1,q)(0,3)");
1167 test_for_zero(levi_civita(n, 2, 1, q)(1, 0), "levi_civita(n,2,1,q)(1,0)");
1168 test_for_zero(levi_civita(n, 2, 1, q)(1, 1), "levi_civita(n,2,1,q)(1,1)");
1169 test_for_zero(levi_civita(n, 2, 1, q)(1, 2), "levi_civita(n,2,1,q)(1,2)");
1170 test_for_zero(levi_civita(n, 2, 1, q)(1, 3), "levi_civita(n,2,1,q)(1,3)");
1171 test_for_zero(levi_civita(n, 2, 1, q)(2, 0), "levi_civita(n,2,1,q)(2,0)");
1172 test_for_zero(levi_civita(n, 2, 1, q)(2, 1), "levi_civita(n,2,1,q)(2,1)");
1173 test_for_zero(levi_civita(n, 2, 1, q)(2, 2), "levi_civita(n,2,1,q)(2,2)");
1174 test_for_zero(levi_civita(n, 2, 1, q)(2, 3), "levi_civita(n,2,1,q)(2,3)");
1175 test_for_zero(levi_civita(n, 2, 1, q)(3, 0) - 1,
1176 "levi_civita(n,2,1,q)(3,0)");
1177 test_for_zero(levi_civita(n, 2, 1, q)(3, 1), "levi_civita(n,2,1,q)(3,1)");
1178 test_for_zero(levi_civita(n, 2, 1, q)(3, 2), "levi_civita(n,2,1,q)(3,2)");
1179 test_for_zero(levi_civita(n, 2, 1, q)(3, 3), "levi_civita(n,2,1,q)(3,3)");
1180
1181 test_for_zero(levi_civita(n, 2, 2, q)(0, 0), "levi_civita(n,2,2,q)(0,0)");
1182 test_for_zero(levi_civita(n, 2, 2, q)(0, 1), "levi_civita(n,2,2,q)(0,1)");
1183 test_for_zero(levi_civita(n, 2, 2, q)(0, 2), "levi_civita(n,2,2,q)(0,2)");
1184 test_for_zero(levi_civita(n, 2, 2, q)(0, 3), "levi_civita(n,2,2,q)(0,3)");
1185 test_for_zero(levi_civita(n, 2, 2, q)(1, 0), "levi_civita(n,2,2,q)(1,0)");
1186 test_for_zero(levi_civita(n, 2, 2, q)(1, 1), "levi_civita(n,2,2,q)(1,1)");
1187 test_for_zero(levi_civita(n, 2, 2, q)(1, 2), "levi_civita(n,2,2,q)(1,2)");
1188 test_for_zero(levi_civita(n, 2, 2, q)(1, 3), "levi_civita(n,2,2,q)(1,3)");
1189 test_for_zero(levi_civita(n, 2, 2, q)(2, 0), "levi_civita(n,2,2,q)(2,0)");
1190 test_for_zero(levi_civita(n, 2, 2, q)(2, 1), "levi_civita(n,2,2,q)(2,1)");
1191 test_for_zero(levi_civita(n, 2, 2, q)(2, 2), "levi_civita(n,2,2,q)(2,2)");
1192 test_for_zero(levi_civita(n, 2, 2, q)(2, 3), "levi_civita(n,2,2,q)(2,3)");
1193 test_for_zero(levi_civita(n, 2, 2, q)(3, 0), "levi_civita(n,2,2,q)(3,0)");
1194 test_for_zero(levi_civita(n, 2, 2, q)(3, 1), "levi_civita(n,2,2,q)(3,1)");
1195 test_for_zero(levi_civita(n, 2, 2, q)(3, 2), "levi_civita(n,2,2,q)(3,2)");
1196 test_for_zero(levi_civita(n, 2, 2, q)(3, 3), "levi_civita(n,2,2,q)(3,3)");
1197
1198 test_for_zero(levi_civita(n, 2, 3, q)(0, 0), "levi_civita(n,2,3,q)(0,0)");
1199 test_for_zero(levi_civita(n, 2, 3, q)(0, 1) - 1,
1200 "levi_civita(n,2,3,q)(0,1)");
1201 test_for_zero(levi_civita(n, 2, 3, q)(0, 2), "levi_civita(n,2,3,q)(0,2)");
1202 test_for_zero(levi_civita(n, 2, 3, q)(0, 3), "levi_civita(n,2,3,q)(0,3)");
1203 test_for_zero(levi_civita(n, 2, 3, q)(1, 0) + 1,
1204 "levi_civita(n,2,3,q)(1,0)");
1205 test_for_zero(levi_civita(n, 2, 3, q)(1, 1), "levi_civita(n,2,3,q)(1,1)");
1206 test_for_zero(levi_civita(n, 2, 3, q)(1, 2), "levi_civita(n,2,3,q)(1,2)");
1207 test_for_zero(levi_civita(n, 2, 3, q)(1, 3), "levi_civita(n,2,3,q)(1,3)");
1208 test_for_zero(levi_civita(n, 2, 3, q)(2, 0), "levi_civita(n,2,3,q)(2,0)");
1209 test_for_zero(levi_civita(n, 2, 3, q)(2, 1), "levi_civita(n,2,3,q)(2,1)");
1210 test_for_zero(levi_civita(n, 2, 3, q)(2, 2), "levi_civita(n,2,3,q)(2,2)");
1211 test_for_zero(levi_civita(n, 2, 3, q)(2, 3), "levi_civita(n,2,3,q)(2,3)");
1212 test_for_zero(levi_civita(n, 2, 3, q)(3, 0), "levi_civita(n,2,3,q)(3,0)");
1213 test_for_zero(levi_civita(n, 2, 3, q)(3, 1), "levi_civita(n,2,3,q)(3,1)");
1214 test_for_zero(levi_civita(n, 2, 3, q)(3, 2), "levi_civita(n,2,3,q)(3,2)");
1215 test_for_zero(levi_civita(n, 2, 3, q)(3, 3), "levi_civita(n,2,3,q)(3,3)");
1216
1217 test_for_zero(levi_civita(n, 3, 0, q)(0, 0), "levi_civita(n,3,0,q)(0,0)");
1218 test_for_zero(levi_civita(n, 3, 0, q)(0, 1), "levi_civita(n,3,0,q)(0,1)");
1219 test_for_zero(levi_civita(n, 3, 0, q)(0, 2), "levi_civita(n,3,0,q)(0,2)");
1220 test_for_zero(levi_civita(n, 3, 0, q)(0, 3), "levi_civita(n,3,0,q)(0,3)");
1221 test_for_zero(levi_civita(n, 3, 0, q)(1, 0), "levi_civita(n,3,0,q)(1,0)");
1222 test_for_zero(levi_civita(n, 3, 0, q)(1, 1), "levi_civita(n,3,0,q)(1,1)");
1223 test_for_zero(levi_civita(n, 3, 0, q)(1, 2) + 1,
1224 "levi_civita(n,3,0,q)(1,2)");
1225 test_for_zero(levi_civita(n, 3, 0, q)(1, 3), "levi_civita(n,3,0,q)(1,3)");
1226 test_for_zero(levi_civita(n, 3, 0, q)(2, 0), "levi_civita(n,3,0,q)(2,0)");
1227 test_for_zero(levi_civita(n, 3, 0, q)(2, 1) - 1,
1228 "levi_civita(n,3,0,q)(2,1)");
1229 test_for_zero(levi_civita(n, 3, 0, q)(2, 2), "levi_civita(n,3,0,q)(2,2)");
1230 test_for_zero(levi_civita(n, 3, 0, q)(2, 3), "levi_civita(n,3,0,q)(2,3)");
1231 test_for_zero(levi_civita(n, 3, 0, q)(3, 0), "levi_civita(n,3,0,q)(3,0)");
1232 test_for_zero(levi_civita(n, 3, 0, q)(3, 1), "levi_civita(n,3,0,q)(3,1)");
1233 test_for_zero(levi_civita(n, 3, 0, q)(3, 2), "levi_civita(n,3,0,q)(3,2)");
1234 test_for_zero(levi_civita(n, 3, 0, q)(3, 3), "levi_civita(n,3,0,q)(3,3)");
1235
1236 test_for_zero(levi_civita(n, 3, 1, q)(0, 0), "levi_civita(n,3,1,q)(0,0)");
1237 test_for_zero(levi_civita(n, 3, 1, q)(0, 1), "levi_civita(n,3,1,q)(0,1)");
1238 test_for_zero(levi_civita(n, 3, 1, q)(0, 2) - 1,
1239 "levi_civita(n,3,1,q)(0,2)");
1240 test_for_zero(levi_civita(n, 3, 1, q)(0, 3), "levi_civita(n,3,1,q)(0,3)");
1241 test_for_zero(levi_civita(n, 3, 1, q)(1, 0), "levi_civita(n,3,1,q)(1,0)");
1242 test_for_zero(levi_civita(n, 3, 1, q)(1, 1), "levi_civita(n,3,1,q)(1,1)");
1243 test_for_zero(levi_civita(n, 3, 1, q)(1, 2), "levi_civita(n,3,1,q)(1,2)");
1244 test_for_zero(levi_civita(n, 3, 1, q)(1, 3), "levi_civita(n,3,1,q)(1,3)");
1245 test_for_zero(levi_civita(n, 3, 1, q)(2, 0) + 1,
1246 "levi_civita(n,3,1,q)(2,0)");
1247 test_for_zero(levi_civita(n, 3, 1, q)(2, 1), "levi_civita(n,3,1,q)(2,1)");
1248 test_for_zero(levi_civita(n, 3, 1, q)(2, 2), "levi_civita(n,3,1,q)(2,2)");
1249 test_for_zero(levi_civita(n, 3, 1, q)(2, 3), "levi_civita(n,3,1,q)(2,3)");
1250 test_for_zero(levi_civita(n, 3, 1, q)(3, 0), "levi_civita(n,3,1,q)(3,0)");
1251 test_for_zero(levi_civita(n, 3, 1, q)(3, 1), "levi_civita(n,3,1,q)(3,1)");
1252 test_for_zero(levi_civita(n, 3, 1, q)(3, 2), "levi_civita(n,3,1,q)(3,2)");
1253 test_for_zero(levi_civita(n, 3, 1, q)(3, 3), "levi_civita(n,3,1,q)(3,3)");
1254
1255 test_for_zero(levi_civita(n, 3, 2, q)(0, 0), "levi_civita(n,3,2,q)(0,0)");
1256 test_for_zero(levi_civita(n, 3, 2, q)(0, 1) + 1,
1257 "levi_civita(n,3,2,q)(0,1)");
1258 test_for_zero(levi_civita(n, 3, 2, q)(0, 2), "levi_civita(n,3,2,q)(0,2)");
1259 test_for_zero(levi_civita(n, 3, 2, q)(0, 3), "levi_civita(n,3,2,q)(0,3)");
1260 test_for_zero(levi_civita(n, 3, 2, q)(1, 0) - 1,
1261 "levi_civita(n,3,2,q)(1,0)");
1262 test_for_zero(levi_civita(n, 3, 2, q)(1, 1), "levi_civita(n,3,2,q)(1,1)");
1263 test_for_zero(levi_civita(n, 3, 2, q)(1, 2), "levi_civita(n,3,2,q)(1,2)");
1264 test_for_zero(levi_civita(n, 3, 2, q)(1, 3), "levi_civita(n,3,2,q)(1,3)");
1265 test_for_zero(levi_civita(n, 3, 2, q)(2, 0), "levi_civita(n,3,2,q)(2,0)");
1266 test_for_zero(levi_civita(n, 3, 2, q)(2, 1), "levi_civita(n,3,2,q)(2,1)");
1267 test_for_zero(levi_civita(n, 3, 2, q)(2, 2), "levi_civita(n,3,2,q)(2,2)");
1268 test_for_zero(levi_civita(n, 3, 2, q)(2, 3), "levi_civita(n,3,2,q)(2,3)");
1269 test_for_zero(levi_civita(n, 3, 2, q)(3, 0), "levi_civita(n,3,2,q)(3,0)");
1270 test_for_zero(levi_civita(n, 3, 2, q)(3, 1), "levi_civita(n,3,2,q)(3,1)");
1271 test_for_zero(levi_civita(n, 3, 2, q)(3, 2), "levi_civita(n,3,2,q)(3,2)");
1272 test_for_zero(levi_civita(n, 3, 2, q)(3, 3), "levi_civita(n,3,2,q)(3,3)");
1273
1274 test_for_zero(levi_civita(n, 3, 3, q)(0, 0), "levi_civita(n,3,3,q)(0,0)");
1275 test_for_zero(levi_civita(n, 3, 3, q)(0, 1), "levi_civita(n,3,3,q)(0,1)");
1276 test_for_zero(levi_civita(n, 3, 3, q)(0, 2), "levi_civita(n,3,3,q)(0,2)");
1277 test_for_zero(levi_civita(n, 3, 3, q)(0, 3), "levi_civita(n,3,3,q)(0,3)");
1278 test_for_zero(levi_civita(n, 3, 3, q)(1, 0), "levi_civita(n,3,3,q)(1,0)");
1279 test_for_zero(levi_civita(n, 3, 3, q)(1, 1), "levi_civita(n,3,3,q)(1,1)");
1280 test_for_zero(levi_civita(n, 3, 3, q)(1, 2), "levi_civita(n,3,3,q)(1,2)");
1281 test_for_zero(levi_civita(n, 3, 3, q)(1, 3), "levi_civita(n,3,3,q)(1,3)");
1282 test_for_zero(levi_civita(n, 3, 3, q)(2, 0), "levi_civita(n,3,3,q)(2,0)");
1283 test_for_zero(levi_civita(n, 3, 3, q)(2, 1), "levi_civita(n,3,3,q)(2,1)");
1284 test_for_zero(levi_civita(n, 3, 3, q)(2, 2), "levi_civita(n,3,3,q)(2,2)");
1285 test_for_zero(levi_civita(n, 3, 3, q)(2, 3), "levi_civita(n,3,3,q)(2,3)");
1286 test_for_zero(levi_civita(n, 3, 3, q)(3, 0), "levi_civita(n,3,3,q)(3,0)");
1287 test_for_zero(levi_civita(n, 3, 3, q)(3, 1), "levi_civita(n,3,3,q)(3,1)");
1288 test_for_zero(levi_civita(n, 3, 3, q)(3, 2), "levi_civita(n,3,3,q)(3,2)");
1289 test_for_zero(levi_civita(n, 3, 3, q)(3, 3), "levi_civita(n,3,3,q)(3,3)");
1290
1291 test_for_zero(levi_civita(n, 0, p, 0)(0, 0), "levi_civita(n,0,p,0)(0,0)");
1292 test_for_zero(levi_civita(n, 0, p, 0)(0, 1), "levi_civita(n,0,p,0)(0,1)");
1293 test_for_zero(levi_civita(n, 0, p, 0)(0, 2), "levi_civita(n,0,p,0)(0,2)");
1294 test_for_zero(levi_civita(n, 0, p, 0)(0, 3), "levi_civita(n,0,p,0)(0,3)");
1295 test_for_zero(levi_civita(n, 0, p, 0)(1, 0), "levi_civita(n,0,p,0)(1,0)");
1296 test_for_zero(levi_civita(n, 0, p, 0)(1, 1), "levi_civita(n,0,p,0)(1,1)");
1297 test_for_zero(levi_civita(n, 0, p, 0)(1, 2), "levi_civita(n,0,p,0)(1,2)");
1298 test_for_zero(levi_civita(n, 0, p, 0)(1, 3), "levi_civita(n,0,p,0)(1,3)");
1299 test_for_zero(levi_civita(n, 0, p, 0)(2, 0), "levi_civita(n,0,p,0)(2,0)");
1300 test_for_zero(levi_civita(n, 0, p, 0)(2, 1), "levi_civita(n,0,p,0)(2,1)");
1301 test_for_zero(levi_civita(n, 0, p, 0)(2, 2), "levi_civita(n,0,p,0)(2,2)");
1302 test_for_zero(levi_civita(n, 0, p, 0)(2, 3), "levi_civita(n,0,p,0)(2,3)");
1303 test_for_zero(levi_civita(n, 0, p, 0)(3, 0), "levi_civita(n,0,p,0)(3,0)");
1304 test_for_zero(levi_civita(n, 0, p, 0)(3, 1), "levi_civita(n,0,p,0)(3,1)");
1305 test_for_zero(levi_civita(n, 0, p, 0)(3, 2), "levi_civita(n,0,p,0)(3,2)");
1306 test_for_zero(levi_civita(n, 0, p, 0)(3, 3), "levi_civita(n,0,p,0)(3,3)");
1307
1308 test_for_zero(levi_civita(n, 0, p, 1)(0, 0), "levi_civita(n,0,p,1)(0,0)");
1309 test_for_zero(levi_civita(n, 0, p, 1)(0, 1), "levi_civita(n,0,p,1)(0,1)");
1310 test_for_zero(levi_civita(n, 0, p, 1)(0, 2), "levi_civita(n,0,p,1)(0,2)");
1311 test_for_zero(levi_civita(n, 0, p, 1)(0, 3), "levi_civita(n,0,p,1)(0,3)");
1312 test_for_zero(levi_civita(n, 0, p, 1)(1, 0), "levi_civita(n,0,p,1)(1,0)");
1313 test_for_zero(levi_civita(n, 0, p, 1)(1, 1), "levi_civita(n,0,p,1)(1,1)");
1314 test_for_zero(levi_civita(n, 0, p, 1)(1, 2), "levi_civita(n,0,p,1)(1,2)");
1315 test_for_zero(levi_civita(n, 0, p, 1)(1, 3), "levi_civita(n,0,p,1)(1,3)");
1316 test_for_zero(levi_civita(n, 0, p, 1)(2, 0), "levi_civita(n,0,p,1)(2,0)");
1317 test_for_zero(levi_civita(n, 0, p, 1)(2, 1), "levi_civita(n,0,p,1)(2,1)");
1318 test_for_zero(levi_civita(n, 0, p, 1)(2, 2), "levi_civita(n,0,p,1)(2,2)");
1319 test_for_zero(levi_civita(n, 0, p, 1)(2, 3) + 1,
1320 "levi_civita(n,0,n,1)(2,3)");
1321 test_for_zero(levi_civita(n, 0, p, 1)(3, 0), "levi_civita(n,0,p,1)(3,0)");
1322 test_for_zero(levi_civita(n, 0, p, 1)(3, 1), "levi_civita(n,0,p,1)(3,1)");
1323 test_for_zero(levi_civita(n, 0, p, 1)(3, 2) - 1,
1324 "levi_civita(n,0,p,1)(3,2)");
1325 test_for_zero(levi_civita(n, 0, p, 1)(3, 3), "levi_civita(n,0,p,1)(3,3)");
1326
1327 test_for_zero(levi_civita(n, 0, p, 2)(0, 0), "levi_civita(n,0,p,2)(0,0)");
1328 test_for_zero(levi_civita(n, 0, p, 2)(0, 1), "levi_civita(n,0,p,2)(0,1)");
1329 test_for_zero(levi_civita(n, 0, p, 2)(0, 2), "levi_civita(n,0,p,2)(0,2)");
1330 test_for_zero(levi_civita(n, 0, p, 2)(0, 3), "levi_civita(n,0,p,2)(0,3)");
1331 test_for_zero(levi_civita(n, 0, p, 2)(1, 0), "levi_civita(n,0,p,2)(1,0)");
1332 test_for_zero(levi_civita(n, 0, p, 2)(1, 1), "levi_civita(n,0,p,2)(1,1)");
1333 test_for_zero(levi_civita(n, 0, p, 2)(1, 2), "levi_civita(n,0,p,2)(1,2)");
1334 test_for_zero(levi_civita(n, 0, p, 2)(1, 3) - 1,
1335 "levi_civita(n,0,p,2)(1,3)");
1336 test_for_zero(levi_civita(n, 0, p, 2)(2, 0), "levi_civita(n,0,p,2)(2,0)");
1337 test_for_zero(levi_civita(n, 0, p, 2)(2, 1), "levi_civita(n,0,p,2)(2,1)");
1338 test_for_zero(levi_civita(n, 0, p, 2)(2, 2), "levi_civita(n,0,p,2)(2,2)");
1339 test_for_zero(levi_civita(n, 0, p, 2)(2, 3), "levi_civita(n,0,p,2)(2,3)");
1340 test_for_zero(levi_civita(n, 0, p, 2)(3, 0), "levi_civita(n,0,p,2)(3,0)");
1341 test_for_zero(levi_civita(n, 0, p, 2)(3, 1) + 1,
1342 "levi_civita(n,0,p,2)(3,1)");
1343 test_for_zero(levi_civita(n, 0, p, 2)(3, 2), "levi_civita(n,0,p,2)(3,2)");
1344 test_for_zero(levi_civita(n, 0, p, 2)(3, 3), "levi_civita(n,0,p,2)(3,3)");
1345
1346 test_for_zero(levi_civita(n, 0, p, 3)(0, 0), "levi_civita(n,0,p,3)(0,0)");
1347 test_for_zero(levi_civita(n, 0, p, 3)(0, 1), "levi_civita(n,0,p,3)(0,1)");
1348 test_for_zero(levi_civita(n, 0, p, 3)(0, 2), "levi_civita(n,0,p,3)(0,2)");
1349 test_for_zero(levi_civita(n, 0, p, 3)(0, 3), "levi_civita(n,0,p,3)(0,3)");
1350 test_for_zero(levi_civita(n, 0, p, 3)(1, 0), "levi_civita(n,0,p,3)(1,0)");
1351 test_for_zero(levi_civita(n, 0, p, 3)(1, 1), "levi_civita(n,0,p,3)(1,1)");
1352 test_for_zero(levi_civita(n, 0, p, 3)(1, 2) + 1,
1353 "levi_civita(n,0,p,3)(1,2)");
1354 test_for_zero(levi_civita(n, 0, p, 3)(1, 3), "levi_civita(n,0,p,3)(1,3)");
1355 test_for_zero(levi_civita(n, 0, p, 3)(2, 0), "levi_civita(n,0,p,3)(2,0)");
1356 test_for_zero(levi_civita(n, 0, p, 3)(2, 1) - 1,
1357 "levi_civita(n,0,p,3)(2,1)");
1358 test_for_zero(levi_civita(n, 0, p, 3)(2, 2), "levi_civita(n,0,p,3)(2,2)");
1359 test_for_zero(levi_civita(n, 0, p, 3)(2, 3), "levi_civita(n,0,p,3)(2,3)");
1360 test_for_zero(levi_civita(n, 0, p, 3)(3, 0), "levi_civita(n,0,p,3)(3,0)");
1361 test_for_zero(levi_civita(n, 0, p, 3)(3, 1), "levi_civita(n,0,p,3)(3,1)");
1362 test_for_zero(levi_civita(n, 0, p, 3)(3, 2), "levi_civita(n,0,p,3)(3,2)");
1363 test_for_zero(levi_civita(n, 0, p, 3)(3, 3), "levi_civita(n,0,p,3)(3,3)");
1364
1365 test_for_zero(levi_civita(n, 1, p, 0)(0, 0), "levi_civita(n,1,p,0)(0,0)");
1366 test_for_zero(levi_civita(n, 1, p, 0)(0, 1), "levi_civita(n,1,p,0)(0,1)");
1367 test_for_zero(levi_civita(n, 1, p, 0)(0, 2), "levi_civita(n,1,p,0)(0,2)");
1368 test_for_zero(levi_civita(n, 1, p, 0)(0, 3), "levi_civita(n,1,p,0)(0,3)");
1369 test_for_zero(levi_civita(n, 1, p, 0)(1, 0), "levi_civita(n,1,p,0)(1,0)");
1370 test_for_zero(levi_civita(n, 1, p, 0)(1, 1), "levi_civita(n,1,p,0)(1,1)");
1371 test_for_zero(levi_civita(n, 1, p, 0)(1, 2), "levi_civita(n,1,p,0)(1,2)");
1372 test_for_zero(levi_civita(n, 1, p, 0)(1, 3), "levi_civita(n,1,p,0)(1,3)");
1373 test_for_zero(levi_civita(n, 1, p, 0)(2, 0), "levi_civita(n,1,p,0)(2,0)");
1374 test_for_zero(levi_civita(n, 1, p, 0)(2, 1), "levi_civita(n,1,p,0)(2,1)");
1375 test_for_zero(levi_civita(n, 1, p, 0)(2, 2), "levi_civita(n,1,p,0)(2,2)");
1376 test_for_zero(levi_civita(n, 1, p, 0)(2, 3) - 1,
1377 "levi_civita(n,1,p,0)(2,3)");
1378 test_for_zero(levi_civita(n, 1, p, 0)(3, 0), "levi_civita(n,1,p,0)(3,0)");
1379 test_for_zero(levi_civita(n, 1, p, 0)(3, 1), "levi_civita(n,1,p,0)(3,1)");
1380 test_for_zero(levi_civita(n, 1, p, 0)(3, 2) + 1,
1381 "levi_civita(n,1,p,0)(3,2)");
1382 test_for_zero(levi_civita(n, 1, p, 0)(3, 3), "levi_civita(n,1,p,0)(3,3)");
1383
1384 test_for_zero(levi_civita(n, 1, p, 1)(0, 0), "levi_civita(n,1,p,1)(0,0)");
1385 test_for_zero(levi_civita(n, 1, p, 1)(0, 1), "levi_civita(n,1,p,1)(0,1)");
1386 test_for_zero(levi_civita(n, 1, p, 1)(0, 2), "levi_civita(n,1,p,1)(0,2)");
1387 test_for_zero(levi_civita(n, 1, p, 1)(0, 3), "levi_civita(n,1,p,1)(0,3)");
1388 test_for_zero(levi_civita(n, 1, p, 1)(1, 0), "levi_civita(n,1,p,1)(1,0)");
1389 test_for_zero(levi_civita(n, 1, p, 1)(1, 1), "levi_civita(n,1,p,1)(1,1)");
1390 test_for_zero(levi_civita(n, 1, p, 1)(1, 2), "levi_civita(n,1,p,1)(1,2)");
1391 test_for_zero(levi_civita(n, 1, p, 1)(1, 3), "levi_civita(n,1,p,1)(1,3)");
1392 test_for_zero(levi_civita(n, 1, p, 1)(2, 0), "levi_civita(n,1,p,1)(2,0)");
1393 test_for_zero(levi_civita(n, 1, p, 1)(2, 1), "levi_civita(n,1,p,1)(2,1)");
1394 test_for_zero(levi_civita(n, 1, p, 1)(2, 2), "levi_civita(n,1,p,1)(2,2)");
1395 test_for_zero(levi_civita(n, 1, p, 1)(2, 3), "levi_civita(n,1,p,1)(2,3)");
1396 test_for_zero(levi_civita(n, 1, p, 1)(3, 0), "levi_civita(n,1,p,1)(3,0)");
1397 test_for_zero(levi_civita(n, 1, p, 1)(3, 1), "levi_civita(n,1,p,1)(3,1)");
1398 test_for_zero(levi_civita(n, 1, p, 1)(3, 2), "levi_civita(n,1,p,1)(3,2)");
1399 test_for_zero(levi_civita(n, 1, p, 1)(3, 3), "levi_civita(n,1,p,1)(3,3)");
1400
1401 test_for_zero(levi_civita(n, 1, p, 2)(0, 0), "levi_civita(n,1,p,2)(0,0)");
1402 test_for_zero(levi_civita(n, 1, p, 2)(0, 1), "levi_civita(n,1,p,2)(0,1)");
1403 test_for_zero(levi_civita(n, 1, p, 2)(0, 2), "levi_civita(n,1,p,2)(0,2)");
1404 test_for_zero(levi_civita(n, 1, p, 2)(0, 3) + 1,
1405 "levi_civita(n,1,p,2)(0,3)");
1406 test_for_zero(levi_civita(n, 1, p, 2)(1, 0), "levi_civita(n,1,p,2)(1,0)");
1407 test_for_zero(levi_civita(n, 1, p, 2)(1, 1), "levi_civita(n,1,p,2)(1,1)");
1408 test_for_zero(levi_civita(n, 1, p, 2)(1, 2), "levi_civita(n,1,p,2)(1,2)");
1409 test_for_zero(levi_civita(n, 1, p, 2)(1, 3), "levi_civita(n,1,p,2)(1,3)");
1410 test_for_zero(levi_civita(n, 1, p, 2)(2, 0), "levi_civita(n,1,p,2)(2,0)");
1411 test_for_zero(levi_civita(n, 1, p, 2)(2, 1), "levi_civita(n,1,p,2)(2,1)");
1412 test_for_zero(levi_civita(n, 1, p, 2)(2, 2), "levi_civita(n,1,p,2)(2,2)");
1413 test_for_zero(levi_civita(n, 1, p, 2)(2, 3), "levi_civita(n,1,p,2)(2,3)");
1414 test_for_zero(levi_civita(n, 1, p, 2)(3, 0) - 1,
1415 "levi_civita(n,1,p,2)(3,0)");
1416 test_for_zero(levi_civita(n, 1, p, 2)(3, 1), "levi_civita(n,1,p,2)(3,1)");
1417 test_for_zero(levi_civita(n, 1, p, 2)(3, 2), "levi_civita(n,1,p,2)(3,2)");
1418 test_for_zero(levi_civita(n, 1, p, 2)(3, 3), "levi_civita(n,1,p,2)(3,3)");
1419
1420 test_for_zero(levi_civita(n, 1, p, 3)(0, 0), "levi_civita(n,1,p,3)(0,0)");
1421 test_for_zero(levi_civita(n, 1, p, 3)(0, 1), "levi_civita(n,1,p,3)(0,1)");
1422 test_for_zero(levi_civita(n, 1, p, 3)(0, 2) - 1,
1423 "levi_civita(n,1,p,3)(0,2)");
1424 test_for_zero(levi_civita(n, 1, p, 3)(0, 3), "levi_civita(n,1,p,3)(0,3)");
1425 test_for_zero(levi_civita(n, 1, p, 3)(1, 0), "levi_civita(n,1,p,3)(1,0)");
1426 test_for_zero(levi_civita(n, 1, p, 3)(1, 1), "levi_civita(n,1,p,3)(1,1)");
1427 test_for_zero(levi_civita(n, 1, p, 3)(1, 2), "levi_civita(n,1,p,3)(1,2)");
1428 test_for_zero(levi_civita(n, 1, p, 3)(1, 3), "levi_civita(n,1,p,3)(1,3)");
1429 test_for_zero(levi_civita(n, 1, p, 3)(2, 0) + 1,
1430 "levi_civita(n,1,p,3)(2,0)");
1431 test_for_zero(levi_civita(n, 1, p, 3)(2, 1), "levi_civita(n,1,p,3)(2,1)");
1432 test_for_zero(levi_civita(n, 1, p, 3)(2, 2), "levi_civita(n,1,p,3)(2,2)");
1433 test_for_zero(levi_civita(n, 1, p, 3)(2, 3), "levi_civita(n,1,p,3)(2,3)");
1434 test_for_zero(levi_civita(n, 1, p, 3)(3, 0), "levi_civita(n,1,p,3)(3,0)");
1435 test_for_zero(levi_civita(n, 1, p, 3)(3, 1), "levi_civita(n,1,p,3)(3,1)");
1436 test_for_zero(levi_civita(n, 1, p, 3)(3, 2), "levi_civita(n,1,p,3)(3,2)");
1437 test_for_zero(levi_civita(n, 1, p, 3)(3, 3), "levi_civita(n,1,p,3)(3,3)");
1438
1439 test_for_zero(levi_civita(n, 2, p, 0)(0, 0), "levi_civita(n,2,p,0)(0,0)");
1440 test_for_zero(levi_civita(n, 2, p, 0)(0, 1), "levi_civita(n,2,p,0)(0,1)");
1441 test_for_zero(levi_civita(n, 2, p, 0)(0, 2), "levi_civita(n,2,p,0)(0,2)");
1442 test_for_zero(levi_civita(n, 2, p, 0)(0, 3), "levi_civita(n,2,p,0)(0,3)");
1443 test_for_zero(levi_civita(n, 2, p, 0)(1, 0), "levi_civita(n,2,p,0)(1,0)");
1444 test_for_zero(levi_civita(n, 2, p, 0)(1, 1), "levi_civita(n,2,p,0)(1,1)");
1445 test_for_zero(levi_civita(n, 2, p, 0)(1, 2), "levi_civita(n,2,p,0)(1,2)");
1446 test_for_zero(levi_civita(n, 2, p, 0)(1, 3) + 1,
1447 "levi_civita(n,2,p,0)(1,3)");
1448 test_for_zero(levi_civita(n, 2, p, 0)(2, 0), "levi_civita(n,2,p,0)(2,0)");
1449 test_for_zero(levi_civita(n, 2, p, 0)(2, 1), "levi_civita(n,2,p,0)(2,1)");
1450 test_for_zero(levi_civita(n, 2, p, 0)(2, 2), "levi_civita(n,2,p,0)(2,2)");
1451 test_for_zero(levi_civita(n, 2, p, 0)(2, 3), "levi_civita(n,2,p,0)(2,3)");
1452 test_for_zero(levi_civita(n, 2, p, 0)(3, 0), "levi_civita(n,2,p,0)(3,0)");
1453 test_for_zero(levi_civita(n, 2, p, 0)(3, 1) - 1,
1454 "levi_civita(n,2,p,0)(3,1)");
1455 test_for_zero(levi_civita(n, 2, p, 0)(3, 2), "levi_civita(n,2,p,0)(3,2)");
1456 test_for_zero(levi_civita(n, 2, p, 0)(3, 3), "levi_civita(n,2,p,0)(3,3)");
1457
1458 test_for_zero(levi_civita(n, 2, p, 1)(0, 0), "levi_civita(n,2,p,1)(0,0)");
1459 test_for_zero(levi_civita(n, 2, p, 1)(0, 1), "levi_civita(n,2,p,1)(0,1)");
1460 test_for_zero(levi_civita(n, 2, p, 1)(0, 2), "levi_civita(n,2,p,1)(0,2)");
1461 test_for_zero(levi_civita(n, 2, p, 1)(0, 3) - 1,
1462 "levi_civita(n,2,p,1)(0,3)");
1463 test_for_zero(levi_civita(n, 2, p, 1)(1, 0), "levi_civita(n,2,p,1)(1,0)");
1464 test_for_zero(levi_civita(n, 2, p, 1)(1, 1), "levi_civita(n,2,p,1)(1,1)");
1465 test_for_zero(levi_civita(n, 2, p, 1)(1, 2), "levi_civita(n,2,p,1)(1,2)");
1466 test_for_zero(levi_civita(n, 2, p, 1)(1, 3), "levi_civita(n,2,p,1)(1,3)");
1467 test_for_zero(levi_civita(n, 2, p, 1)(2, 0), "levi_civita(n,2,p,1)(2,0)");
1468 test_for_zero(levi_civita(n, 2, p, 1)(2, 1), "levi_civita(n,2,p,1)(2,1)");
1469 test_for_zero(levi_civita(n, 2, p, 1)(2, 2), "levi_civita(n,2,p,1)(2,2)");
1470 test_for_zero(levi_civita(n, 2, p, 1)(2, 3), "levi_civita(n,2,p,1)(2,3)");
1471 test_for_zero(levi_civita(n, 2, p, 1)(3, 0) + 1,
1472 "levi_civita(n,2,p,1)(3,0)");
1473 test_for_zero(levi_civita(n, 2, p, 1)(3, 1), "levi_civita(n,2,p,1)(3,1)");
1474 test_for_zero(levi_civita(n, 2, p, 1)(3, 2), "levi_civita(n,2,p,1)(3,2)");
1475 test_for_zero(levi_civita(n, 2, p, 1)(3, 3), "levi_civita(n,2,p,1)(3,3)");
1476
1477 test_for_zero(levi_civita(n, 2, p, 2)(0, 0), "levi_civita(n,2,p,2)(0,0)");
1478 test_for_zero(levi_civita(n, 2, p, 2)(0, 1), "levi_civita(n,2,p,2)(0,1)");
1479 test_for_zero(levi_civita(n, 2, p, 2)(0, 2), "levi_civita(n,2,p,2)(0,2)");
1480 test_for_zero(levi_civita(n, 2, p, 2)(0, 3), "levi_civita(n,2,p,2)(0,3)");
1481 test_for_zero(levi_civita(n, 2, p, 2)(1, 0), "levi_civita(n,2,p,2)(1,0)");
1482 test_for_zero(levi_civita(n, 2, p, 2)(1, 1), "levi_civita(n,2,p,2)(1,1)");
1483 test_for_zero(levi_civita(n, 2, p, 2)(1, 2), "levi_civita(n,2,p,2)(1,2)");
1484 test_for_zero(levi_civita(n, 2, p, 2)(1, 3), "levi_civita(n,2,p,2)(1,3)");
1485 test_for_zero(levi_civita(n, 2, p, 2)(2, 0), "levi_civita(n,2,p,2)(2,0)");
1486 test_for_zero(levi_civita(n, 2, p, 2)(2, 1), "levi_civita(n,2,p,2)(2,1)");
1487 test_for_zero(levi_civita(n, 2, p, 2)(2, 2), "levi_civita(n,2,p,2)(2,2)");
1488 test_for_zero(levi_civita(n, 2, p, 2)(2, 3), "levi_civita(n,2,p,2)(2,3)");
1489 test_for_zero(levi_civita(n, 2, p, 2)(3, 0), "levi_civita(n,2,p,2)(3,0)");
1490 test_for_zero(levi_civita(n, 2, p, 2)(3, 1), "levi_civita(n,2,p,2)(3,1)");
1491 test_for_zero(levi_civita(n, 2, p, 2)(3, 2), "levi_civita(n,2,p,2)(3,2)");
1492 test_for_zero(levi_civita(n, 2, p, 2)(3, 3), "levi_civita(n,2,p,2)(3,3)");
1493
1494 test_for_zero(levi_civita(n, 2, p, 3)(0, 0), "levi_civita(n,2,p,3)(0,0)");
1495 test_for_zero(levi_civita(n, 2, p, 3)(0, 1) + 1,
1496 "levi_civita(n,2,p,3)(0,1)");
1497 test_for_zero(levi_civita(n, 2, p, 3)(0, 2), "levi_civita(n,2,p,3)(0,2)");
1498 test_for_zero(levi_civita(n, 2, p, 3)(0, 3), "levi_civita(n,2,p,3)(0,3)");
1499 test_for_zero(levi_civita(n, 2, p, 3)(1, 0) - 1,
1500 "levi_civita(n,2,p,3)(1,0)");
1501 test_for_zero(levi_civita(n, 2, p, 3)(1, 1), "levi_civita(n,2,p,3)(1,1)");
1502 test_for_zero(levi_civita(n, 2, p, 3)(1, 2), "levi_civita(n,2,p,3)(1,2)");
1503 test_for_zero(levi_civita(n, 2, p, 3)(1, 3), "levi_civita(n,2,p,3)(1,3)");
1504 test_for_zero(levi_civita(n, 2, p, 3)(2, 0), "levi_civita(n,2,p,3)(2,0)");
1505 test_for_zero(levi_civita(n, 2, p, 3)(2, 1), "levi_civita(n,2,p,3)(2,1)");
1506 test_for_zero(levi_civita(n, 2, p, 3)(2, 2), "levi_civita(n,2,p,3)(2,2)");
1507 test_for_zero(levi_civita(n, 2, p, 3)(2, 3), "levi_civita(n,2,p,3)(2,3)");
1508 test_for_zero(levi_civita(n, 2, p, 3)(3, 0), "levi_civita(n,2,p,3)(3,0)");
1509 test_for_zero(levi_civita(n, 2, p, 3)(3, 1), "levi_civita(n,2,p,3)(3,1)");
1510 test_for_zero(levi_civita(n, 2, p, 3)(3, 2), "levi_civita(n,2,p,3)(3,2)");
1511 test_for_zero(levi_civita(n, 2, p, 3)(3, 3), "levi_civita(n,2,p,3)(3,3)");
1512
1513 test_for_zero(levi_civita(n, 3, p, 0)(0, 0), "levi_civita(n,3,p,0)(0,0)");
1514 test_for_zero(levi_civita(n, 3, p, 0)(0, 1), "levi_civita(n,3,p,0)(0,1)");
1515 test_for_zero(levi_civita(n, 3, p, 0)(0, 2), "levi_civita(n,3,p,0)(0,2)");
1516 test_for_zero(levi_civita(n, 3, p, 0)(0, 3), "levi_civita(n,3,p,0)(0,3)");
1517 test_for_zero(levi_civita(n, 3, p, 0)(1, 0), "levi_civita(n,3,p,0)(1,0)");
1518 test_for_zero(levi_civita(n, 3, p, 0)(1, 1), "levi_civita(n,3,p,0)(1,1)");
1519 test_for_zero(levi_civita(n, 3, p, 0)(1, 2) - 1,
1520 "levi_civita(n,3,p,0)(1,2)");
1521 test_for_zero(levi_civita(n, 3, p, 0)(1, 3), "levi_civita(n,3,p,0)(1,3)");
1522 test_for_zero(levi_civita(n, 3, p, 0)(2, 0), "levi_civita(n,3,p,0)(2,0)");
1523 test_for_zero(levi_civita(n, 3, p, 0)(2, 1) + 1,
1524 "levi_civita(n,3,p,0)(2,1)");
1525 test_for_zero(levi_civita(n, 3, p, 0)(2, 2), "levi_civita(n,3,p,0)(2,2)");
1526 test_for_zero(levi_civita(n, 3, p, 0)(2, 3), "levi_civita(n,3,p,0)(2,3)");
1527 test_for_zero(levi_civita(n, 3, p, 0)(3, 0), "levi_civita(n,3,p,0)(3,0)");
1528 test_for_zero(levi_civita(n, 3, p, 0)(3, 1), "levi_civita(n,3,p,0)(3,1)");
1529 test_for_zero(levi_civita(n, 3, p, 0)(3, 2), "levi_civita(n,3,p,0)(3,2)");
1530 test_for_zero(levi_civita(n, 3, p, 0)(3, 3), "levi_civita(n,3,p,0)(3,3)");
1531
1532 test_for_zero(levi_civita(n, 3, p, 1)(0, 0), "levi_civita(n,3,p,1)(0,0)");
1533 test_for_zero(levi_civita(n, 3, p, 1)(0, 1), "levi_civita(n,3,p,1)(0,1)");
1534 test_for_zero(levi_civita(n, 3, p, 1)(0, 2) + 1,
1535 "levi_civita(n,3,p,1)(0,2)");
1536 test_for_zero(levi_civita(n, 3, p, 1)(0, 3), "levi_civita(n,3,p,1)(0,3)");
1537 test_for_zero(levi_civita(n, 3, p, 1)(1, 0), "levi_civita(n,3,p,1)(1,0)");
1538 test_for_zero(levi_civita(n, 3, p, 1)(1, 1), "levi_civita(n,3,p,1)(1,1)");
1539 test_for_zero(levi_civita(n, 3, p, 1)(1, 2), "levi_civita(n,3,p,1)(1,2)");
1540 test_for_zero(levi_civita(n, 3, p, 1)(1, 3), "levi_civita(n,3,p,1)(1,3)");
1541 test_for_zero(levi_civita(n, 3, p, 1)(2, 0) - 1,
1542 "levi_civita(n,3,p,1)(2,0)");
1543 test_for_zero(levi_civita(n, 3, p, 1)(2, 1), "levi_civita(n,3,p,1)(2,1)");
1544 test_for_zero(levi_civita(n, 3, p, 1)(2, 2), "levi_civita(n,3,p,1)(2,2)");
1545 test_for_zero(levi_civita(n, 3, p, 1)(2, 3), "levi_civita(n,3,p,1)(2,3)");
1546 test_for_zero(levi_civita(n, 3, p, 1)(3, 0), "levi_civita(n,3,p,1)(3,0)");
1547 test_for_zero(levi_civita(n, 3, p, 1)(3, 1), "levi_civita(n,3,p,1)(3,1)");
1548 test_for_zero(levi_civita(n, 3, p, 1)(3, 2), "levi_civita(n,3,p,1)(3,2)");
1549 test_for_zero(levi_civita(n, 3, p, 1)(3, 3), "levi_civita(n,3,p,1)(3,3)");
1550
1551 test_for_zero(levi_civita(n, 3, p, 2)(0, 0), "levi_civita(n,3,p,2)(0,0)");
1552 test_for_zero(levi_civita(n, 3, p, 2)(0, 1) - 1,
1553 "levi_civita(n,3,p,2)(0,1)");
1554 test_for_zero(levi_civita(n, 3, p, 2)(0, 2), "levi_civita(n,3,p,2)(0,2)");
1555 test_for_zero(levi_civita(n, 3, p, 2)(0, 3), "levi_civita(n,3,p,2)(0,3)");
1556 test_for_zero(levi_civita(n, 3, p, 2)(1, 0) + 1,
1557 "levi_civita(n,3,p,2)(1,0)");
1558 test_for_zero(levi_civita(n, 3, p, 2)(1, 1), "levi_civita(n,3,p,2)(1,1)");
1559 test_for_zero(levi_civita(n, 3, p, 2)(1, 2), "levi_civita(n,3,p,2)(1,2)");
1560 test_for_zero(levi_civita(n, 3, p, 2)(1, 3), "levi_civita(n,3,p,2)(1,3)");
1561 test_for_zero(levi_civita(n, 3, p, 2)(2, 0), "levi_civita(n,3,p,2)(2,0)");
1562 test_for_zero(levi_civita(n, 3, p, 2)(2, 1), "levi_civita(n,3,p,2)(2,1)");
1563 test_for_zero(levi_civita(n, 3, p, 2)(2, 2), "levi_civita(n,3,p,2)(2,2)");
1564 test_for_zero(levi_civita(n, 3, p, 2)(2, 3), "levi_civita(n,3,p,2)(2,3)");
1565 test_for_zero(levi_civita(n, 3, p, 2)(3, 0), "levi_civita(n,3,p,2)(3,0)");
1566 test_for_zero(levi_civita(n, 3, p, 2)(3, 1), "levi_civita(n,3,p,2)(3,1)");
1567 test_for_zero(levi_civita(n, 3, p, 2)(3, 2), "levi_civita(n,3,p,2)(3,2)");
1568 test_for_zero(levi_civita(n, 3, p, 2)(3, 3), "levi_civita(n,3,p,2)(3,3)");
1569
1570 test_for_zero(levi_civita(n, 3, p, 3)(0, 0), "levi_civita(n,3,p,3)(0,0)");
1571 test_for_zero(levi_civita(n, 3, p, 3)(0, 1), "levi_civita(n,3,p,3)(0,1)");
1572 test_for_zero(levi_civita(n, 3, p, 3)(0, 2), "levi_civita(n,3,p,3)(0,2)");
1573 test_for_zero(levi_civita(n, 3, p, 3)(0, 3), "levi_civita(n,3,p,3)(0,3)");
1574 test_for_zero(levi_civita(n, 3, p, 3)(1, 0), "levi_civita(n,3,p,3)(1,0)");
1575 test_for_zero(levi_civita(n, 3, p, 3)(1, 1), "levi_civita(n,3,p,3)(1,1)");
1576 test_for_zero(levi_civita(n, 3, p, 3)(1, 2), "levi_civita(n,3,p,3)(1,2)");
1577 test_for_zero(levi_civita(n, 3, p, 3)(1, 3), "levi_civita(n,3,p,3)(1,3)");
1578 test_for_zero(levi_civita(n, 3, p, 3)(2, 0), "levi_civita(n,3,p,3)(2,0)");
1579 test_for_zero(levi_civita(n, 3, p, 3)(2, 1), "levi_civita(n,3,p,3)(2,1)");
1580 test_for_zero(levi_civita(n, 3, p, 3)(2, 2), "levi_civita(n,3,p,3)(2,2)");
1581 test_for_zero(levi_civita(n, 3, p, 3)(2, 3), "levi_civita(n,3,p,3)(2,3)");
1582 test_for_zero(levi_civita(n, 3, p, 3)(3, 0), "levi_civita(n,3,p,3)(3,0)");
1583 test_for_zero(levi_civita(n, 3, p, 3)(3, 1), "levi_civita(n,3,p,3)(3,1)");
1584 test_for_zero(levi_civita(n, 3, p, 3)(3, 2), "levi_civita(n,3,p,3)(3,2)");
1585 test_for_zero(levi_civita(n, 3, p, 3)(3, 3), "levi_civita(n,3,p,3)(3,3)");
1586
1587 test_for_zero(levi_civita(n, o, 0, 0)(0, 0), "levi_civita(n,o,0,0)(0,0)");
1588 test_for_zero(levi_civita(n, o, 0, 0)(0, 1), "levi_civita(n,o,0,0)(0,1)");
1589 test_for_zero(levi_civita(n, o, 0, 0)(0, 2), "levi_civita(n,o,0,0)(0,2)");
1590 test_for_zero(levi_civita(n, o, 0, 0)(0, 3), "levi_civita(n,o,0,0)(0,3)");
1591 test_for_zero(levi_civita(n, o, 0, 0)(1, 0), "levi_civita(n,o,0,0)(1,0)");
1592 test_for_zero(levi_civita(n, o, 0, 0)(1, 1), "levi_civita(n,o,0,0)(1,1)");
1593 test_for_zero(levi_civita(n, o, 0, 0)(1, 2), "levi_civita(n,o,0,0)(1,2)");
1594 test_for_zero(levi_civita(n, o, 0, 0)(1, 3), "levi_civita(n,o,0,0)(1,3)");
1595 test_for_zero(levi_civita(n, o, 0, 0)(2, 0), "levi_civita(n,o,0,0)(2,0)");
1596 test_for_zero(levi_civita(n, o, 0, 0)(2, 1), "levi_civita(n,o,0,0)(2,1)");
1597 test_for_zero(levi_civita(n, o, 0, 0)(2, 2), "levi_civita(n,o,0,0)(2,2)");
1598 test_for_zero(levi_civita(n, o, 0, 0)(2, 3), "levi_civita(n,o,0,0)(2,3)");
1599 test_for_zero(levi_civita(n, o, 0, 0)(3, 0), "levi_civita(n,o,0,0)(3,0)");
1600 test_for_zero(levi_civita(n, o, 0, 0)(3, 1), "levi_civita(n,o,0,0)(3,1)");
1601 test_for_zero(levi_civita(n, o, 0, 0)(3, 2), "levi_civita(n,o,0,0)(3,2)");
1602 test_for_zero(levi_civita(n, o, 0, 0)(3, 3), "levi_civita(n,o,0,0)(3,3)");
1603
1604 test_for_zero(levi_civita(n, o, 0, 1)(0, 0), "levi_civita(n,o,0,1)(0,0)");
1605 test_for_zero(levi_civita(n, o, 0, 1)(0, 1), "levi_civita(n,o,0,1)(0,1)");
1606 test_for_zero(levi_civita(n, o, 0, 1)(0, 2), "levi_civita(n,o,0,1)(0,2)");
1607 test_for_zero(levi_civita(n, o, 0, 1)(0, 3), "levi_civita(n,o,0,1)(0,3)");
1608 test_for_zero(levi_civita(n, o, 0, 1)(1, 0), "levi_civita(n,o,0,1)(1,0)");
1609 test_for_zero(levi_civita(n, o, 0, 1)(1, 1), "levi_civita(n,o,0,1)(1,1)");
1610 test_for_zero(levi_civita(n, o, 0, 1)(1, 2), "levi_civita(n,o,0,1)(1,2)");
1611 test_for_zero(levi_civita(n, o, 0, 1)(1, 3), "levi_civita(n,o,0,1)(1,3)");
1612 test_for_zero(levi_civita(n, o, 0, 1)(2, 0), "levi_civita(n,o,0,1)(2,0)");
1613 test_for_zero(levi_civita(n, o, 0, 1)(2, 1), "levi_civita(n,o,0,1)(2,1)");
1614 test_for_zero(levi_civita(n, o, 0, 1)(2, 2), "levi_civita(n,o,0,1)(2,2)");
1615 test_for_zero(levi_civita(n, o, 0, 1)(2, 3) - 1,
1616 "levi_civita(n,o,0,n,1)(2,3)");
1617 test_for_zero(levi_civita(n, o, 0, 1)(3, 0), "levi_civita(n,o,0,1)(3,0)");
1618 test_for_zero(levi_civita(n, o, 0, 1)(3, 1), "levi_civita(n,o,0,1)(3,1)");
1619 test_for_zero(levi_civita(n, o, 0, 1)(3, 2) + 1,
1620 "levi_civita(n,o,0,1)(3,2)");
1621 test_for_zero(levi_civita(n, o, 0, 1)(3, 3), "levi_civita(n,o,0,1)(3,3)");
1622
1623 test_for_zero(levi_civita(n, o, 0, 2)(0, 0), "levi_civita(n,o,0,2)(0,0)");
1624 test_for_zero(levi_civita(n, o, 0, 2)(0, 1), "levi_civita(n,o,0,2)(0,1)");
1625 test_for_zero(levi_civita(n, o, 0, 2)(0, 2), "levi_civita(n,o,0,2)(0,2)");
1626 test_for_zero(levi_civita(n, o, 0, 2)(0, 3), "levi_civita(n,o,0,2)(0,3)");
1627 test_for_zero(levi_civita(n, o, 0, 2)(1, 0), "levi_civita(n,o,0,2)(1,0)");
1628 test_for_zero(levi_civita(n, o, 0, 2)(1, 1), "levi_civita(n,o,0,2)(1,1)");
1629 test_for_zero(levi_civita(n, o, 0, 2)(1, 2), "levi_civita(n,o,0,2)(1,2)");
1630 test_for_zero(levi_civita(n, o, 0, 2)(1, 3) + 1,
1631 "levi_civita(n,o,0,2)(1,3)");
1632 test_for_zero(levi_civita(n, o, 0, 2)(2, 0), "levi_civita(n,o,0,2)(2,0)");
1633 test_for_zero(levi_civita(n, o, 0, 2)(2, 1), "levi_civita(n,o,0,2)(2,1)");
1634 test_for_zero(levi_civita(n, o, 0, 2)(2, 2), "levi_civita(n,o,0,2)(2,2)");
1635 test_for_zero(levi_civita(n, o, 0, 2)(2, 3), "levi_civita(n,o,0,2)(2,3)");
1636 test_for_zero(levi_civita(n, o, 0, 2)(3, 0), "levi_civita(n,o,0,2)(3,0)");
1637 test_for_zero(levi_civita(n, o, 0, 2)(3, 1) - 1,
1638 "levi_civita(n,o,0,2)(3,1)");
1639 test_for_zero(levi_civita(n, o, 0, 2)(3, 2), "levi_civita(n,o,0,2)(3,2)");
1640 test_for_zero(levi_civita(n, o, 0, 2)(3, 3), "levi_civita(n,o,0,2)(3,3)");
1641
1642 test_for_zero(levi_civita(n, o, 0, 3)(0, 0), "levi_civita(n,o,0,3)(0,0)");
1643 test_for_zero(levi_civita(n, o, 0, 3)(0, 1), "levi_civita(n,o,0,3)(0,1)");
1644 test_for_zero(levi_civita(n, o, 0, 3)(0, 2), "levi_civita(n,o,0,3)(0,2)");
1645 test_for_zero(levi_civita(n, o, 0, 3)(0, 3), "levi_civita(n,o,0,3)(0,3)");
1646 test_for_zero(levi_civita(n, o, 0, 3)(1, 0), "levi_civita(n,o,0,3)(1,0)");
1647 test_for_zero(levi_civita(n, o, 0, 3)(1, 1), "levi_civita(n,o,0,3)(1,1)");
1648 test_for_zero(levi_civita(n, o, 0, 3)(1, 2) - 1,
1649 "levi_civita(n,o,0,3)(1,2)");
1650 test_for_zero(levi_civita(n, o, 0, 3)(1, 3), "levi_civita(n,o,0,3)(1,3)");
1651 test_for_zero(levi_civita(n, o, 0, 3)(2, 0), "levi_civita(n,o,0,3)(2,0)");
1652 test_for_zero(levi_civita(n, o, 0, 3)(2, 1) + 1,
1653 "levi_civita(n,o,0,3)(2,1)");
1654 test_for_zero(levi_civita(n, o, 0, 3)(2, 2), "levi_civita(n,o,0,3)(2,2)");
1655 test_for_zero(levi_civita(n, o, 0, 3)(2, 3), "levi_civita(n,o,0,3)(2,3)");
1656 test_for_zero(levi_civita(n, o, 0, 3)(3, 0), "levi_civita(n,o,0,3)(3,0)");
1657 test_for_zero(levi_civita(n, o, 0, 3)(3, 1), "levi_civita(n,o,0,3)(3,1)");
1658 test_for_zero(levi_civita(n, o, 0, 3)(3, 2), "levi_civita(n,o,0,3)(3,2)");
1659 test_for_zero(levi_civita(n, o, 0, 3)(3, 3), "levi_civita(n,o,0,3)(3,3)");
1660
1661 test_for_zero(levi_civita(n, o, 1, 0)(0, 0), "levi_civita(n,o,1,0)(0,0)");
1662 test_for_zero(levi_civita(n, o, 1, 0)(0, 1), "levi_civita(n,o,1,0)(0,1)");
1663 test_for_zero(levi_civita(n, o, 1, 0)(0, 2), "levi_civita(n,o,1,0)(0,2)");
1664 test_for_zero(levi_civita(n, o, 1, 0)(0, 3), "levi_civita(n,o,1,0)(0,3)");
1665 test_for_zero(levi_civita(n, o, 1, 0)(1, 0), "levi_civita(n,o,1,0)(1,0)");
1666 test_for_zero(levi_civita(n, o, 1, 0)(1, 1), "levi_civita(n,o,1,0)(1,1)");
1667 test_for_zero(levi_civita(n, o, 1, 0)(1, 2), "levi_civita(n,o,1,0)(1,2)");
1668 test_for_zero(levi_civita(n, o, 1, 0)(1, 3), "levi_civita(n,o,1,0)(1,3)");
1669 test_for_zero(levi_civita(n, o, 1, 0)(2, 0), "levi_civita(n,o,1,0)(2,0)");
1670 test_for_zero(levi_civita(n, o, 1, 0)(2, 1), "levi_civita(n,o,1,0)(2,1)");
1671 test_for_zero(levi_civita(n, o, 1, 0)(2, 2), "levi_civita(n,o,1,0)(2,2)");
1672 test_for_zero(levi_civita(n, o, 1, 0)(2, 3) + 1,
1673 "levi_civita(n,o,1,0)(2,3)");
1674 test_for_zero(levi_civita(n, o, 1, 0)(3, 0), "levi_civita(n,o,1,0)(3,0)");
1675 test_for_zero(levi_civita(n, o, 1, 0)(3, 1), "levi_civita(n,o,1,0)(3,1)");
1676 test_for_zero(levi_civita(n, o, 1, 0)(3, 2) - 1,
1677 "levi_civita(n,o,1,0)(3,2)");
1678 test_for_zero(levi_civita(n, o, 1, 0)(3, 3), "levi_civita(n,o,1,0)(3,3)");
1679
1680 test_for_zero(levi_civita(n, o, 1, 1)(0, 0), "levi_civita(n,o,1,1)(0,0)");
1681 test_for_zero(levi_civita(n, o, 1, 1)(0, 1), "levi_civita(n,o,1,1)(0,1)");
1682 test_for_zero(levi_civita(n, o, 1, 1)(0, 2), "levi_civita(n,o,1,1)(0,2)");
1683 test_for_zero(levi_civita(n, o, 1, 1)(0, 3), "levi_civita(n,o,1,1)(0,3)");
1684 test_for_zero(levi_civita(n, o, 1, 1)(1, 0), "levi_civita(n,o,1,1)(1,0)");
1685 test_for_zero(levi_civita(n, o, 1, 1)(1, 1), "levi_civita(n,o,1,1)(1,1)");
1686 test_for_zero(levi_civita(n, o, 1, 1)(1, 2), "levi_civita(n,o,1,1)(1,2)");
1687 test_for_zero(levi_civita(n, o, 1, 1)(1, 3), "levi_civita(n,o,1,1)(1,3)");
1688 test_for_zero(levi_civita(n, o, 1, 1)(2, 0), "levi_civita(n,o,1,1)(2,0)");
1689 test_for_zero(levi_civita(n, o, 1, 1)(2, 1), "levi_civita(n,o,1,1)(2,1)");
1690 test_for_zero(levi_civita(n, o, 1, 1)(2, 2), "levi_civita(n,o,1,1)(2,2)");
1691 test_for_zero(levi_civita(n, o, 1, 1)(2, 3), "levi_civita(n,o,1,1)(2,3)");
1692 test_for_zero(levi_civita(n, o, 1, 1)(3, 0), "levi_civita(n,o,1,1)(3,0)");
1693 test_for_zero(levi_civita(n, o, 1, 1)(3, 1), "levi_civita(n,o,1,1)(3,1)");
1694 test_for_zero(levi_civita(n, o, 1, 1)(3, 2), "levi_civita(n,o,1,1)(3,2)");
1695 test_for_zero(levi_civita(n, o, 1, 1)(3, 3), "levi_civita(n,o,1,1)(3,3)");
1696
1697 test_for_zero(levi_civita(n, o, 1, 2)(0, 0), "levi_civita(n,o,1,2)(0,0)");
1698 test_for_zero(levi_civita(n, o, 1, 2)(0, 1), "levi_civita(n,o,1,2)(0,1)");
1699 test_for_zero(levi_civita(n, o, 1, 2)(0, 2), "levi_civita(n,o,1,2)(0,2)");
1700 test_for_zero(levi_civita(n, o, 1, 2)(0, 3) - 1,
1701 "levi_civita(n,o,1,2)(0,3)");
1702 test_for_zero(levi_civita(n, o, 1, 2)(1, 0), "levi_civita(n,o,1,2)(1,0)");
1703 test_for_zero(levi_civita(n, o, 1, 2)(1, 1), "levi_civita(n,o,1,2)(1,1)");
1704 test_for_zero(levi_civita(n, o, 1, 2)(1, 2), "levi_civita(n,o,1,2)(1,2)");
1705 test_for_zero(levi_civita(n, o, 1, 2)(1, 3), "levi_civita(n,o,1,2)(1,3)");
1706 test_for_zero(levi_civita(n, o, 1, 2)(2, 0), "levi_civita(n,o,1,2)(2,0)");
1707 test_for_zero(levi_civita(n, o, 1, 2)(2, 1), "levi_civita(n,o,1,2)(2,1)");
1708 test_for_zero(levi_civita(n, o, 1, 2)(2, 2), "levi_civita(n,o,1,2)(2,2)");
1709 test_for_zero(levi_civita(n, o, 1, 2)(2, 3), "levi_civita(n,o,1,2)(2,3)");
1710 test_for_zero(levi_civita(n, o, 1, 2)(3, 0) + 1,
1711 "levi_civita(n,o,1,2)(3,0)");
1712 test_for_zero(levi_civita(n, o, 1, 2)(3, 1), "levi_civita(n,o,1,2)(3,1)");
1713 test_for_zero(levi_civita(n, o, 1, 2)(3, 2), "levi_civita(n,o,1,2)(3,2)");
1714 test_for_zero(levi_civita(n, o, 1, 2)(3, 3), "levi_civita(n,o,1,2)(3,3)");
1715
1716 test_for_zero(levi_civita(n, o, 1, 3)(0, 0), "levi_civita(n,o,1,3)(0,0)");
1717 test_for_zero(levi_civita(n, o, 1, 3)(0, 1), "levi_civita(n,o,1,3)(0,1)");
1718 test_for_zero(levi_civita(n, o, 1, 3)(0, 2) + 1,
1719 "levi_civita(n,o,1,3)(0,2)");
1720 test_for_zero(levi_civita(n, o, 1, 3)(0, 3), "levi_civita(n,o,1,3)(0,3)");
1721 test_for_zero(levi_civita(n, o, 1, 3)(1, 0), "levi_civita(n,o,1,3)(1,0)");
1722 test_for_zero(levi_civita(n, o, 1, 3)(1, 1), "levi_civita(n,o,1,3)(1,1)");
1723 test_for_zero(levi_civita(n, o, 1, 3)(1, 2), "levi_civita(n,o,1,3)(1,2)");
1724 test_for_zero(levi_civita(n, o, 1, 3)(1, 3), "levi_civita(n,o,1,3)(1,3)");
1725 test_for_zero(levi_civita(n, o, 1, 3)(2, 0) - 1,
1726 "levi_civita(n,o,1,3)(2,0)");
1727 test_for_zero(levi_civita(n, o, 1, 3)(2, 1), "levi_civita(n,o,1,3)(2,1)");
1728 test_for_zero(levi_civita(n, o, 1, 3)(2, 2), "levi_civita(n,o,1,3)(2,2)");
1729 test_for_zero(levi_civita(n, o, 1, 3)(2, 3), "levi_civita(n,o,1,3)(2,3)");
1730 test_for_zero(levi_civita(n, o, 1, 3)(3, 0), "levi_civita(n,o,1,3)(3,0)");
1731 test_for_zero(levi_civita(n, o, 1, 3)(3, 1), "levi_civita(n,o,1,3)(3,1)");
1732 test_for_zero(levi_civita(n, o, 1, 3)(3, 2), "levi_civita(n,o,1,3)(3,2)");
1733 test_for_zero(levi_civita(n, o, 1, 3)(3, 3), "levi_civita(n,o,1,3)(3,3)");
1734
1735 test_for_zero(levi_civita(n, o, 2, 0)(0, 0), "levi_civita(n,o,2,0)(0,0)");
1736 test_for_zero(levi_civita(n, o, 2, 0)(0, 1), "levi_civita(n,o,2,0)(0,1)");
1737 test_for_zero(levi_civita(n, o, 2, 0)(0, 2), "levi_civita(n,o,2,0)(0,2)");
1738 test_for_zero(levi_civita(n, o, 2, 0)(0, 3), "levi_civita(n,o,2,0)(0,3)");
1739 test_for_zero(levi_civita(n, o, 2, 0)(1, 0), "levi_civita(n,o,2,0)(1,0)");
1740 test_for_zero(levi_civita(n, o, 2, 0)(1, 1), "levi_civita(n,o,2,0)(1,1)");
1741 test_for_zero(levi_civita(n, o, 2, 0)(1, 2), "levi_civita(n,o,2,0)(1,2)");
1742 test_for_zero(levi_civita(n, o, 2, 0)(1, 3) - 1,
1743 "levi_civita(n,o,2,0)(1,3)");
1744 test_for_zero(levi_civita(n, o, 2, 0)(2, 0), "levi_civita(n,o,2,0)(2,0)");
1745 test_for_zero(levi_civita(n, o, 2, 0)(2, 1), "levi_civita(n,o,2,0)(2,1)");
1746 test_for_zero(levi_civita(n, o, 2, 0)(2, 2), "levi_civita(n,o,2,0)(2,2)");
1747 test_for_zero(levi_civita(n, o, 2, 0)(2, 3), "levi_civita(n,o,2,0)(2,3)");
1748 test_for_zero(levi_civita(n, o, 2, 0)(3, 0), "levi_civita(n,o,2,0)(3,0)");
1749 test_for_zero(levi_civita(n, o, 2, 0)(3, 1) + 1,
1750 "levi_civita(n,o,2,0)(3,1)");
1751 test_for_zero(levi_civita(n, o, 2, 0)(3, 2), "levi_civita(n,o,2,0)(3,2)");
1752 test_for_zero(levi_civita(n, o, 2, 0)(3, 3), "levi_civita(n,o,2,0)(3,3)");
1753
1754 test_for_zero(levi_civita(n, o, 2, 1)(0, 0), "levi_civita(n,o,2,1)(0,0)");
1755 test_for_zero(levi_civita(n, o, 2, 1)(0, 1), "levi_civita(n,o,2,1)(0,1)");
1756 test_for_zero(levi_civita(n, o, 2, 1)(0, 2), "levi_civita(n,o,2,1)(0,2)");
1757 test_for_zero(levi_civita(n, o, 2, 1)(0, 3) + 1,
1758 "levi_civita(n,o,2,1)(0,3)");
1759 test_for_zero(levi_civita(n, o, 2, 1)(1, 0), "levi_civita(n,o,2,1)(1,0)");
1760 test_for_zero(levi_civita(n, o, 2, 1)(1, 1), "levi_civita(n,o,2,1)(1,1)");
1761 test_for_zero(levi_civita(n, o, 2, 1)(1, 2), "levi_civita(n,o,2,1)(1,2)");
1762 test_for_zero(levi_civita(n, o, 2, 1)(1, 3), "levi_civita(n,o,2,1)(1,3)");
1763 test_for_zero(levi_civita(n, o, 2, 1)(2, 0), "levi_civita(n,o,2,1)(2,0)");
1764 test_for_zero(levi_civita(n, o, 2, 1)(2, 1), "levi_civita(n,o,2,1)(2,1)");
1765 test_for_zero(levi_civita(n, o, 2, 1)(2, 2), "levi_civita(n,o,2,1)(2,2)");
1766 test_for_zero(levi_civita(n, o, 2, 1)(2, 3), "levi_civita(n,o,2,1)(2,3)");
1767 test_for_zero(levi_civita(n, o, 2, 1)(3, 0) - 1,
1768 "levi_civita(n,o,2,1)(3,0)");
1769 test_for_zero(levi_civita(n, o, 2, 1)(3, 1), "levi_civita(n,o,2,1)(3,1)");
1770 test_for_zero(levi_civita(n, o, 2, 1)(3, 2), "levi_civita(n,o,2,1)(3,2)");
1771 test_for_zero(levi_civita(n, o, 2, 1)(3, 3), "levi_civita(n,o,2,1)(3,3)");
1772
1773 test_for_zero(levi_civita(n, o, 2, 2)(0, 0), "levi_civita(n,o,2,2)(0,0)");
1774 test_for_zero(levi_civita(n, o, 2, 2)(0, 1), "levi_civita(n,o,2,2)(0,1)");
1775 test_for_zero(levi_civita(n, o, 2, 2)(0, 2), "levi_civita(n,o,2,2)(0,2)");
1776 test_for_zero(levi_civita(n, o, 2, 2)(0, 3), "levi_civita(n,o,2,2)(0,3)");
1777 test_for_zero(levi_civita(n, o, 2, 2)(1, 0), "levi_civita(n,o,2,2)(1,0)");
1778 test_for_zero(levi_civita(n, o, 2, 2)(1, 1), "levi_civita(n,o,2,2)(1,1)");
1779 test_for_zero(levi_civita(n, o, 2, 2)(1, 2), "levi_civita(n,o,2,2)(1,2)");
1780 test_for_zero(levi_civita(n, o, 2, 2)(1, 3), "levi_civita(n,o,2,2)(1,3)");
1781 test_for_zero(levi_civita(n, o, 2, 2)(2, 0), "levi_civita(n,o,2,2)(2,0)");
1782 test_for_zero(levi_civita(n, o, 2, 2)(2, 1), "levi_civita(n,o,2,2)(2,1)");
1783 test_for_zero(levi_civita(n, o, 2, 2)(2, 2), "levi_civita(n,o,2,2)(2,2)");
1784 test_for_zero(levi_civita(n, o, 2, 2)(2, 3), "levi_civita(n,o,2,2)(2,3)");
1785 test_for_zero(levi_civita(n, o, 2, 2)(3, 0), "levi_civita(n,o,2,2)(3,0)");
1786 test_for_zero(levi_civita(n, o, 2, 2)(3, 1), "levi_civita(n,o,2,2)(3,1)");
1787 test_for_zero(levi_civita(n, o, 2, 2)(3, 2), "levi_civita(n,o,2,2)(3,2)");
1788 test_for_zero(levi_civita(n, o, 2, 2)(3, 3), "levi_civita(n,o,2,2)(3,3)");
1789
1790 test_for_zero(levi_civita(n, o, 2, 3)(0, 0), "levi_civita(n,o,2,3)(0,0)");
1791 test_for_zero(levi_civita(n, o, 2, 3)(0, 1) - 1,
1792 "levi_civita(n,o,2,3)(0,1)");
1793 test_for_zero(levi_civita(n, o, 2, 3)(0, 2), "levi_civita(n,o,2,3)(0,2)");
1794 test_for_zero(levi_civita(n, o, 2, 3)(0, 3), "levi_civita(n,o,2,3)(0,3)");
1795 test_for_zero(levi_civita(n, o, 2, 3)(1, 0) + 1,
1796 "levi_civita(n,o,2,3)(1,0)");
1797 test_for_zero(levi_civita(n, o, 2, 3)(1, 1), "levi_civita(n,o,2,3)(1,1)");
1798 test_for_zero(levi_civita(n, o, 2, 3)(1, 2), "levi_civita(n,o,2,3)(1,2)");
1799 test_for_zero(levi_civita(n, o, 2, 3)(1, 3), "levi_civita(n,o,2,3)(1,3)");
1800 test_for_zero(levi_civita(n, o, 2, 3)(2, 0), "levi_civita(n,o,2,3)(2,0)");
1801 test_for_zero(levi_civita(n, o, 2, 3)(2, 1), "levi_civita(n,o,2,3)(2,1)");
1802 test_for_zero(levi_civita(n, o, 2, 3)(2, 2), "levi_civita(n,o,2,3)(2,2)");
1803 test_for_zero(levi_civita(n, o, 2, 3)(2, 3), "levi_civita(n,o,2,3)(2,3)");
1804 test_for_zero(levi_civita(n, o, 2, 3)(3, 0), "levi_civita(n,o,2,3)(3,0)");
1805 test_for_zero(levi_civita(n, o, 2, 3)(3, 1), "levi_civita(n,o,2,3)(3,1)");
1806 test_for_zero(levi_civita(n, o, 2, 3)(3, 2), "levi_civita(n,o,2,3)(3,2)");
1807 test_for_zero(levi_civita(n, o, 2, 3)(3, 3), "levi_civita(n,o,2,3)(3,3)");
1808
1809 test_for_zero(levi_civita(n, o, 3, 0)(0, 0), "levi_civita(n,o,3,0)(0,0)");
1810 test_for_zero(levi_civita(n, o, 3, 0)(0, 1), "levi_civita(n,o,3,0)(0,1)");
1811 test_for_zero(levi_civita(n, o, 3, 0)(0, 2), "levi_civita(n,o,3,0)(0,2)");
1812 test_for_zero(levi_civita(n, o, 3, 0)(0, 3), "levi_civita(n,o,3,0)(0,3)");
1813 test_for_zero(levi_civita(n, o, 3, 0)(1, 0), "levi_civita(n,o,3,0)(1,0)");
1814 test_for_zero(levi_civita(n, o, 3, 0)(1, 1), "levi_civita(n,o,3,0)(1,1)");
1815 test_for_zero(levi_civita(n, o, 3, 0)(1, 2) + 1,
1816 "levi_civita(n,o,3,0)(1,2)");
1817 test_for_zero(levi_civita(n, o, 3, 0)(1, 3), "levi_civita(n,o,3,0)(1,3)");
1818 test_for_zero(levi_civita(n, o, 3, 0)(2, 0), "levi_civita(n,o,3,0)(2,0)");
1819 test_for_zero(levi_civita(n, o, 3, 0)(2, 1) - 1,
1820 "levi_civita(n,o,3,0)(2,1)");
1821 test_for_zero(levi_civita(n, o, 3, 0)(2, 2), "levi_civita(n,o,3,0)(2,2)");
1822 test_for_zero(levi_civita(n, o, 3, 0)(2, 3), "levi_civita(n,o,3,0)(2,3)");
1823 test_for_zero(levi_civita(n, o, 3, 0)(3, 0), "levi_civita(n,o,3,0)(3,0)");
1824 test_for_zero(levi_civita(n, o, 3, 0)(3, 1), "levi_civita(n,o,3,0)(3,1)");
1825 test_for_zero(levi_civita(n, o, 3, 0)(3, 2), "levi_civita(n,o,3,0)(3,2)");
1826 test_for_zero(levi_civita(n, o, 3, 0)(3, 3), "levi_civita(n,o,3,0)(3,3)");
1827
1828 test_for_zero(levi_civita(n, o, 3, 1)(0, 0), "levi_civita(n,o,3,1)(0,0)");
1829 test_for_zero(levi_civita(n, o, 3, 1)(0, 1), "levi_civita(n,o,3,1)(0,1)");
1830 test_for_zero(levi_civita(n, o, 3, 1)(0, 2) - 1,
1831 "levi_civita(n,o,3,1)(0,2)");
1832 test_for_zero(levi_civita(n, o, 3, 1)(0, 3), "levi_civita(n,o,3,1)(0,3)");
1833 test_for_zero(levi_civita(n, o, 3, 1)(1, 0), "levi_civita(n,o,3,1)(1,0)");
1834 test_for_zero(levi_civita(n, o, 3, 1)(1, 1), "levi_civita(n,o,3,1)(1,1)");
1835 test_for_zero(levi_civita(n, o, 3, 1)(1, 2), "levi_civita(n,o,3,1)(1,2)");
1836 test_for_zero(levi_civita(n, o, 3, 1)(1, 3), "levi_civita(n,o,3,1)(1,3)");
1837 test_for_zero(levi_civita(n, o, 3, 1)(2, 0) + 1,
1838 "levi_civita(n,o,3,1)(2,0)");
1839 test_for_zero(levi_civita(n, o, 3, 1)(2, 1), "levi_civita(n,o,3,1)(2,1)");
1840 test_for_zero(levi_civita(n, o, 3, 1)(2, 2), "levi_civita(n,o,3,1)(2,2)");
1841 test_for_zero(levi_civita(n, o, 3, 1)(2, 3), "levi_civita(n,o,3,1)(2,3)");
1842 test_for_zero(levi_civita(n, o, 3, 1)(3, 0), "levi_civita(n,o,3,1)(3,0)");
1843 test_for_zero(levi_civita(n, o, 3, 1)(3, 1), "levi_civita(n,o,3,1)(3,1)");
1844 test_for_zero(levi_civita(n, o, 3, 1)(3, 2), "levi_civita(n,o,3,1)(3,2)");
1845 test_for_zero(levi_civita(n, o, 3, 1)(3, 3), "levi_civita(n,o,3,1)(3,3)");
1846
1847 test_for_zero(levi_civita(n, o, 3, 2)(0, 0), "levi_civita(n,o,3,2)(0,0)");
1848 test_for_zero(levi_civita(n, o, 3, 2)(0, 1) + 1,
1849 "levi_civita(n,o,3,2)(0,1)");
1850 test_for_zero(levi_civita(n, o, 3, 2)(0, 2), "levi_civita(n,o,3,2)(0,2)");
1851 test_for_zero(levi_civita(n, o, 3, 2)(0, 3), "levi_civita(n,o,3,2)(0,3)");
1852 test_for_zero(levi_civita(n, o, 3, 2)(1, 0) - 1,
1853 "levi_civita(n,o,3,2)(1,0)");
1854 test_for_zero(levi_civita(n, o, 3, 2)(1, 1), "levi_civita(n,o,3,2)(1,1)");
1855 test_for_zero(levi_civita(n, o, 3, 2)(1, 2), "levi_civita(n,o,3,2)(1,2)");
1856 test_for_zero(levi_civita(n, o, 3, 2)(1, 3), "levi_civita(n,o,3,2)(1,3)");
1857 test_for_zero(levi_civita(n, o, 3, 2)(2, 0), "levi_civita(n,o,3,2)(2,0)");
1858 test_for_zero(levi_civita(n, o, 3, 2)(2, 1), "levi_civita(n,o,3,2)(2,1)");
1859 test_for_zero(levi_civita(n, o, 3, 2)(2, 2), "levi_civita(n,o,3,2)(2,2)");
1860 test_for_zero(levi_civita(n, o, 3, 2)(2, 3), "levi_civita(n,o,3,2)(2,3)");
1861 test_for_zero(levi_civita(n, o, 3, 2)(3, 0), "levi_civita(n,o,3,2)(3,0)");
1862 test_for_zero(levi_civita(n, o, 3, 2)(3, 1), "levi_civita(n,o,3,2)(3,1)");
1863 test_for_zero(levi_civita(n, o, 3, 2)(3, 2), "levi_civita(n,o,3,2)(3,2)");
1864 test_for_zero(levi_civita(n, o, 3, 2)(3, 3), "levi_civita(n,o,3,2)(3,3)");
1865
1866 test_for_zero(levi_civita(n, o, 3, 3)(0, 0), "levi_civita(n,o,3,3)(0,0)");
1867 test_for_zero(levi_civita(n, o, 3, 3)(0, 1), "levi_civita(n,o,3,3)(0,1)");
1868 test_for_zero(levi_civita(n, o, 3, 3)(0, 2), "levi_civita(n,o,3,3)(0,2)");
1869 test_for_zero(levi_civita(n, o, 3, 3)(0, 3), "levi_civita(n,o,3,3)(0,3)");
1870 test_for_zero(levi_civita(n, o, 3, 3)(1, 0), "levi_civita(n,o,3,3)(1,0)");
1871 test_for_zero(levi_civita(n, o, 3, 3)(1, 1), "levi_civita(n,o,3,3)(1,1)");
1872 test_for_zero(levi_civita(n, o, 3, 3)(1, 2), "levi_civita(n,o,3,3)(1,2)");
1873 test_for_zero(levi_civita(n, o, 3, 3)(1, 3), "levi_civita(n,o,3,3)(1,3)");
1874 test_for_zero(levi_civita(n, o, 3, 3)(2, 0), "levi_civita(n,o,3,3)(2,0)");
1875 test_for_zero(levi_civita(n, o, 3, 3)(2, 1), "levi_civita(n,o,3,3)(2,1)");
1876 test_for_zero(levi_civita(n, o, 3, 3)(2, 2), "levi_civita(n,o,3,3)(2,2)");
1877 test_for_zero(levi_civita(n, o, 3, 3)(2, 3), "levi_civita(n,o,3,3)(2,3)");
1878 test_for_zero(levi_civita(n, o, 3, 3)(3, 0), "levi_civita(n,o,3,3)(3,0)");
1879 test_for_zero(levi_civita(n, o, 3, 3)(3, 1), "levi_civita(n,o,3,3)(3,1)");
1880 test_for_zero(levi_civita(n, o, 3, 3)(3, 2), "levi_civita(n,o,3,3)(3,2)");
1881 test_for_zero(levi_civita(n, o, 3, 3)(3, 3), "levi_civita(n,o,3,3)(3,3)");
1882}

◆ test_Levi_Civita_04()

void test_Levi_Civita_04 ( void )

Definition at line 7 of file test_Levi_Civita_04.cpp.

8{
9 Index<'o', 4> o;
10 Index<'p', 4> p;
11 Index<'q', 4> q;
12
13 Number<0> N0;
14 Number<1> N1;
15 Number<2> N2;
16
17 /* Test Levi_Civita Rank 4 */
18 test_for_zero(levi_civita(0, 0, 0, q)(0), "levi_civita(0,0,0,q)(0)");
19 test_for_zero(levi_civita(0, 0, 0, q)(1), "levi_civita(0,0,0,q)(1)");
20 test_for_zero(levi_civita(0, 0, 0, q)(2), "levi_civita(0,0,0,q)(2)");
21 test_for_zero(levi_civita(0, 0, 0, q)(3), "levi_civita(0,0,0,q)(3)");
22 test_for_zero(levi_civita(0, 0, 1, q)(0), "levi_civita(0,0,1,q)(0)");
23 test_for_zero(levi_civita(0, 0, 1, q)(1), "levi_civita(0,0,1,q)(1)");
24 test_for_zero(levi_civita(0, 0, 1, q)(2), "levi_civita(0,0,1,q)(2)");
25 test_for_zero(levi_civita(0, 0, 1, q)(3), "levi_civita(0,0,1,q)(3)");
26 test_for_zero(levi_civita(0, 0, 2, q)(0), "levi_civita(0,0,2,q)(0)");
27 test_for_zero(levi_civita(0, 0, 2, q)(1), "levi_civita(0,0,2,q)(1)");
28 test_for_zero(levi_civita(0, 0, 2, q)(2), "levi_civita(0,0,2,q)(2)");
29 test_for_zero(levi_civita(0, 0, 2, q)(3), "levi_civita(0,0,2,q)(3)");
30 test_for_zero(levi_civita(0, 0, 3, q)(0), "levi_civita(0,0,3,q)(0)");
31 test_for_zero(levi_civita(0, 0, 3, q)(1), "levi_civita(0,0,3,q)(1)");
32 test_for_zero(levi_civita(0, 0, 3, q)(2), "levi_civita(0,0,3,q)(2)");
33 test_for_zero(levi_civita(0, 0, 3, q)(3), "levi_civita(0,0,3,q)(3)");
34
35 test_for_zero(levi_civita(0, 1, 0, q)(0), "levi_civita(0,1,0,q)(0)");
36 test_for_zero(levi_civita(0, 1, 0, q)(1), "levi_civita(0,1,0,q)(1)");
37 test_for_zero(levi_civita(0, 1, 0, q)(2), "levi_civita(0,1,0,q)(2)");
38 test_for_zero(levi_civita(0, 1, 0, q)(3), "levi_civita(0,1,0,q)(3)");
39 test_for_zero(levi_civita(0, 1, 1, q)(0), "levi_civita(0,1,1,q)(0)");
40 test_for_zero(levi_civita(0, 1, 1, q)(1), "levi_civita(0,1,1,q)(1)");
41 test_for_zero(levi_civita(0, 1, 1, q)(2), "levi_civita(0,1,1,q)(2)");
42 test_for_zero(levi_civita(0, 1, 1, q)(3), "levi_civita(0,1,1,q)(3)");
43 test_for_zero(levi_civita(0, 1, 2, q)(0), "levi_civita(0,1,2,q)(0)");
44 test_for_zero(levi_civita(0, 1, 2, q)(1), "levi_civita(0,1,2,q)(1)");
45 test_for_zero(levi_civita(0, 1, 2, q)(2), "levi_civita(0,1,2,q)(2)");
46 test_for_zero(levi_civita(0, 1, 2, q)(3) - 1, "levi_civita(0,1,2,q)(3)");
47 test_for_zero(levi_civita(0, 1, 3, q)(0), "levi_civita(0,1,3,q)(0)");
48 test_for_zero(levi_civita(0, 1, 3, q)(1), "levi_civita(0,1,3,q)(1)");
49 test_for_zero(levi_civita(0, 1, 3, q)(2) + 1, "levi_civita(0,1,3,q)(2)");
50 test_for_zero(levi_civita(0, 1, 3, q)(3), "levi_civita(0,1,3,q)(3)");
51
52 test_for_zero(levi_civita(0, 2, 0, q)(0), "levi_civita(0,2,0,q)(0)");
53 test_for_zero(levi_civita(0, 2, 0, q)(1), "levi_civita(0,2,0,q)(1)");
54 test_for_zero(levi_civita(0, 2, 0, q)(2), "levi_civita(0,2,0,q)(2)");
55 test_for_zero(levi_civita(0, 2, 0, q)(3), "levi_civita(0,2,0,q)(3)");
56 test_for_zero(levi_civita(0, 2, 1, q)(0), "levi_civita(0,2,1,q)(0)");
57 test_for_zero(levi_civita(0, 2, 1, q)(1), "levi_civita(0,2,1,q)(1)");
58 test_for_zero(levi_civita(0, 2, 1, q)(2), "levi_civita(0,2,1,q)(2)");
59 test_for_zero(levi_civita(0, 2, 1, q)(3) + 1, "levi_civita(0,2,1,q)(3)");
60 test_for_zero(levi_civita(0, 2, 2, q)(0), "levi_civita(0,2,2,q)(0)");
61 test_for_zero(levi_civita(0, 2, 2, q)(1), "levi_civita(0,2,2,q)(1)");
62 test_for_zero(levi_civita(0, 2, 2, q)(2), "levi_civita(0,2,2,q)(2)");
63 test_for_zero(levi_civita(0, 2, 2, q)(3), "levi_civita(0,2,2,q)(3)");
64 test_for_zero(levi_civita(0, 2, 3, q)(0), "levi_civita(0,2,3,q)(0)");
65 test_for_zero(levi_civita(0, 2, 3, q)(1) - 1, "levi_civita(0,2,3,q)(1)");
66 test_for_zero(levi_civita(0, 2, 3, q)(2), "levi_civita(0,2,3,q)(2)");
67 test_for_zero(levi_civita(0, 2, 3, q)(3), "levi_civita(0,2,3,q)(3)");
68
69 test_for_zero(levi_civita(0, 3, 0, q)(0), "levi_civita(0,3,0,q)(0)");
70 test_for_zero(levi_civita(0, 3, 0, q)(1), "levi_civita(0,3,0,q)(1)");
71 test_for_zero(levi_civita(0, 3, 0, q)(2), "levi_civita(0,3,0,q)(2)");
72 test_for_zero(levi_civita(0, 3, 0, q)(3), "levi_civita(0,3,0,q)(3)");
73 test_for_zero(levi_civita(0, 3, 1, q)(0), "levi_civita(0,3,1,q)(0)");
74 test_for_zero(levi_civita(0, 3, 1, q)(1), "levi_civita(0,3,1,q)(1)");
75 test_for_zero(levi_civita(0, 3, 1, q)(2) - 1, "levi_civita(0,3,1,q)(2)");
76 test_for_zero(levi_civita(0, 3, 1, q)(3), "levi_civita(0,3,1,q)(3)");
77 test_for_zero(levi_civita(0, 3, 2, q)(0), "levi_civita(0,3,2,q)(0)");
78 test_for_zero(levi_civita(0, 3, 2, q)(1) + 1, "levi_civita(0,3,2,q)(1)");
79 test_for_zero(levi_civita(0, 3, 2, q)(2), "levi_civita(0,3,2,q)(2)");
80 test_for_zero(levi_civita(0, 3, 2, q)(3), "levi_civita(0,3,2,q)(3)");
81 test_for_zero(levi_civita(0, 3, 3, q)(0), "levi_civita(0,3,3,q)(0)");
82 test_for_zero(levi_civita(0, 3, 3, q)(1), "levi_civita(0,3,3,q)(1)");
83 test_for_zero(levi_civita(0, 3, 3, q)(2), "levi_civita(0,3,3,q)(2)");
84 test_for_zero(levi_civita(0, 3, 3, q)(3), "levi_civita(0,3,3,q)(3)");
85
86 test_for_zero(levi_civita(1, 0, 0, q)(0), "levi_civita(1,0,0,q)(0)");
87 test_for_zero(levi_civita(1, 0, 0, q)(1), "levi_civita(1,0,0,q)(1)");
88 test_for_zero(levi_civita(1, 0, 0, q)(2), "levi_civita(1,0,0,q)(2)");
89 test_for_zero(levi_civita(1, 0, 0, q)(3), "levi_civita(1,0,0,q)(3)");
90 test_for_zero(levi_civita(1, 0, 1, q)(0), "levi_civita(1,0,1,q)(0)");
91 test_for_zero(levi_civita(1, 0, 1, q)(1), "levi_civita(1,0,1,q)(1)");
92 test_for_zero(levi_civita(1, 0, 1, q)(2), "levi_civita(1,0,1,q)(2)");
93 test_for_zero(levi_civita(1, 0, 1, q)(3), "levi_civita(1,0,1,q)(3)");
94 test_for_zero(levi_civita(1, 0, 2, q)(0), "levi_civita(1,0,2,q)(0)");
95 test_for_zero(levi_civita(1, 0, 2, q)(1), "levi_civita(1,0,2,q)(1)");
96 test_for_zero(levi_civita(1, 0, 2, q)(2), "levi_civita(1,0,2,q)(2)");
97 test_for_zero(levi_civita(1, 0, 2, q)(3) + 1, "levi_civita(1,0,2,q)(3)");
98 test_for_zero(levi_civita(1, 0, 3, q)(0), "levi_civita(1,0,3,q)(0)");
99 test_for_zero(levi_civita(1, 0, 3, q)(1), "levi_civita(1,0,3,q)(1)");
100 test_for_zero(levi_civita(1, 0, 3, q)(2) - 1, "levi_civita(1,0,3,q)(2)");
101 test_for_zero(levi_civita(1, 0, 3, q)(3), "levi_civita(1,0,3,q)(3)");
102
103 test_for_zero(levi_civita(1, 1, 0, q)(0), "levi_civita(1,1,0,q)(0)");
104 test_for_zero(levi_civita(1, 1, 0, q)(1), "levi_civita(1,1,0,q)(1)");
105 test_for_zero(levi_civita(1, 1, 0, q)(2), "levi_civita(1,1,0,q)(2)");
106 test_for_zero(levi_civita(1, 1, 0, q)(3), "levi_civita(1,1,0,q)(3)");
107 test_for_zero(levi_civita(1, 1, 1, q)(0), "levi_civita(1,1,1,q)(0)");
108 test_for_zero(levi_civita(1, 1, 1, q)(1), "levi_civita(1,1,1,q)(1)");
109 test_for_zero(levi_civita(1, 1, 1, q)(2), "levi_civita(1,1,1,q)(2)");
110 test_for_zero(levi_civita(1, 1, 1, q)(3), "levi_civita(1,1,1,q)(3)");
111 test_for_zero(levi_civita(1, 1, 2, q)(0), "levi_civita(1,1,2,q)(0)");
112 test_for_zero(levi_civita(1, 1, 2, q)(1), "levi_civita(1,1,2,q)(1)");
113 test_for_zero(levi_civita(1, 1, 2, q)(2), "levi_civita(1,1,2,q)(2)");
114 test_for_zero(levi_civita(1, 1, 2, q)(3), "levi_civita(1,1,2,q)(3)");
115 test_for_zero(levi_civita(1, 1, 3, q)(0), "levi_civita(1,1,3,q)(0)");
116 test_for_zero(levi_civita(1, 1, 3, q)(1), "levi_civita(1,1,3,q)(1)");
117 test_for_zero(levi_civita(1, 1, 3, q)(2), "levi_civita(1,1,3,q)(2)");
118 test_for_zero(levi_civita(1, 1, 3, q)(3), "levi_civita(1,1,3,q)(3)");
119
120 test_for_zero(levi_civita(1, 2, 0, q)(0), "levi_civita(1,2,0,q)(0)");
121 test_for_zero(levi_civita(1, 2, 0, q)(1), "levi_civita(1,2,0,q)(1)");
122 test_for_zero(levi_civita(1, 2, 0, q)(2), "levi_civita(1,2,0,q)(2)");
123 test_for_zero(levi_civita(1, 2, 0, q)(3) - 1, "levi_civita(1,2,0,q)(3)");
124 test_for_zero(levi_civita(1, 2, 1, q)(0), "levi_civita(1,2,1,q)(0)");
125 test_for_zero(levi_civita(1, 2, 1, q)(1), "levi_civita(1,2,1,q)(1)");
126 test_for_zero(levi_civita(1, 2, 1, q)(2), "levi_civita(1,2,1,q)(2)");
127 test_for_zero(levi_civita(1, 2, 1, q)(3), "levi_civita(1,2,1,q)(3)");
128 test_for_zero(levi_civita(1, 2, 2, q)(0), "levi_civita(1,2,2,q)(0)");
129 test_for_zero(levi_civita(1, 2, 2, q)(1), "levi_civita(1,2,2,q)(1)");
130 test_for_zero(levi_civita(1, 2, 2, q)(2), "levi_civita(1,2,2,q)(2)");
131 test_for_zero(levi_civita(1, 2, 2, q)(3), "levi_civita(1,2,2,q)(3)");
132 test_for_zero(levi_civita(1, 2, 3, q)(0) + 1, "levi_civita(1,2,3,q)(0)");
133 test_for_zero(levi_civita(1, 2, 3, q)(1), "levi_civita(1,2,3,q)(1)");
134 test_for_zero(levi_civita(1, 2, 3, q)(2), "levi_civita(1,2,3,q)(2)");
135 test_for_zero(levi_civita(1, 2, 3, q)(3), "levi_civita(1,2,3,q)(3)");
136
137 test_for_zero(levi_civita(1, 3, 0, q)(0), "levi_civita(1,3,0,q)(0)");
138 test_for_zero(levi_civita(1, 3, 0, q)(1), "levi_civita(1,3,0,q)(1)");
139 test_for_zero(levi_civita(1, 3, 0, q)(2) + 1, "levi_civita(1,3,0,q)(2)");
140 test_for_zero(levi_civita(1, 3, 0, q)(3), "levi_civita(1,3,0,q)(3)");
141 test_for_zero(levi_civita(1, 3, 1, q)(0), "levi_civita(1,3,1,q)(0)");
142 test_for_zero(levi_civita(1, 3, 1, q)(1), "levi_civita(1,3,1,q)(1)");
143 test_for_zero(levi_civita(1, 3, 1, q)(2), "levi_civita(1,3,1,q)(2)");
144 test_for_zero(levi_civita(1, 3, 1, q)(3), "levi_civita(1,3,1,q)(3)");
145 test_for_zero(levi_civita(1, 3, 2, q)(0) - 1, "levi_civita(1,3,2,q)(0)");
146 test_for_zero(levi_civita(1, 3, 2, q)(1), "levi_civita(1,3,2,q)(1)");
147 test_for_zero(levi_civita(1, 3, 2, q)(2), "levi_civita(1,3,2,q)(2)");
148 test_for_zero(levi_civita(1, 3, 2, q)(3), "levi_civita(1,3,2,q)(3)");
149 test_for_zero(levi_civita(1, 3, 3, q)(0), "levi_civita(1,3,3,q)(0)");
150 test_for_zero(levi_civita(1, 3, 3, q)(1), "levi_civita(1,3,3,q)(1)");
151 test_for_zero(levi_civita(1, 3, 3, q)(2), "levi_civita(1,3,3,q)(2)");
152 test_for_zero(levi_civita(1, 3, 3, q)(3), "levi_civita(1,3,3,q)(3)");
153
154 test_for_zero(levi_civita(2, 0, 0, q)(0), "levi_civita(2,0,0,q)(0)");
155 test_for_zero(levi_civita(2, 0, 0, q)(1), "levi_civita(2,0,0,q)(1)");
156 test_for_zero(levi_civita(2, 0, 0, q)(2), "levi_civita(2,0,0,q)(2)");
157 test_for_zero(levi_civita(2, 0, 0, q)(3), "levi_civita(2,0,0,q)(3)");
158 test_for_zero(levi_civita(2, 0, 1, q)(0), "levi_civita(2,0,1,q)(0)");
159 test_for_zero(levi_civita(2, 0, 1, q)(1), "levi_civita(2,0,1,q)(1)");
160 test_for_zero(levi_civita(2, 0, 1, q)(2), "levi_civita(2,0,1,q)(2)");
161 test_for_zero(levi_civita(2, 0, 1, q)(3) - 1, "levi_civita(2,0,1,q)(3)");
162 test_for_zero(levi_civita(2, 0, 2, q)(0), "levi_civita(2,0,2,q)(0)");
163 test_for_zero(levi_civita(2, 0, 2, q)(1), "levi_civita(2,0,2,q)(1)");
164 test_for_zero(levi_civita(2, 0, 2, q)(2), "levi_civita(2,0,2,q)(2)");
165 test_for_zero(levi_civita(2, 0, 2, q)(3), "levi_civita(2,0,2,q)(3)");
166 test_for_zero(levi_civita(2, 0, 3, q)(0), "levi_civita(2,0,3,q)(0)");
167 test_for_zero(levi_civita(2, 0, 3, q)(1) + 1, "levi_civita(2,0,3,q)(1)");
168 test_for_zero(levi_civita(2, 0, 3, q)(2), "levi_civita(2,0,3,q)(2)");
169 test_for_zero(levi_civita(2, 0, 3, q)(3), "levi_civita(2,0,3,q)(3)");
170
171 test_for_zero(levi_civita(2, 1, 0, q)(0), "levi_civita(2,1,0,q)(0)");
172 test_for_zero(levi_civita(2, 1, 0, q)(1), "levi_civita(2,1,0,q)(1)");
173 test_for_zero(levi_civita(2, 1, 0, q)(2), "levi_civita(2,1,0,q)(2)");
174 test_for_zero(levi_civita(2, 1, 0, q)(3) + 1, "levi_civita(2,1,0,q)(3)");
175 test_for_zero(levi_civita(2, 1, 1, q)(0), "levi_civita(2,1,1,q)(0)");
176 test_for_zero(levi_civita(2, 1, 1, q)(1), "levi_civita(2,1,1,q)(1)");
177 test_for_zero(levi_civita(2, 1, 1, q)(2), "levi_civita(2,1,1,q)(2)");
178 test_for_zero(levi_civita(2, 1, 1, q)(3), "levi_civita(2,1,1,q)(3)");
179 test_for_zero(levi_civita(2, 1, 2, q)(0), "levi_civita(2,1,2,q)(0)");
180 test_for_zero(levi_civita(2, 1, 2, q)(1), "levi_civita(2,1,2,q)(1)");
181 test_for_zero(levi_civita(2, 1, 2, q)(2), "levi_civita(2,1,2,q)(2)");
182 test_for_zero(levi_civita(2, 1, 2, q)(3), "levi_civita(2,1,2,q)(3)");
183 test_for_zero(levi_civita(2, 1, 3, q)(0) - 1, "levi_civita(2,1,3,q)(0)");
184 test_for_zero(levi_civita(2, 1, 3, q)(1), "levi_civita(2,1,3,q)(1)");
185 test_for_zero(levi_civita(2, 1, 3, q)(2), "levi_civita(2,1,3,q)(2)");
186 test_for_zero(levi_civita(2, 1, 3, q)(3), "levi_civita(2,1,3,q)(3)");
187
188 test_for_zero(levi_civita(2, 2, 0, q)(0), "levi_civita(2,2,0,q)(0)");
189 test_for_zero(levi_civita(2, 2, 0, q)(1), "levi_civita(2,2,0,q)(1)");
190 test_for_zero(levi_civita(2, 2, 0, q)(2), "levi_civita(2,2,0,q)(2)");
191 test_for_zero(levi_civita(2, 2, 0, q)(3), "levi_civita(2,2,0,q)(3)");
192 test_for_zero(levi_civita(2, 2, 1, q)(0), "levi_civita(2,2,1,q)(0)");
193 test_for_zero(levi_civita(2, 2, 1, q)(1), "levi_civita(2,2,1,q)(1)");
194 test_for_zero(levi_civita(2, 2, 1, q)(2), "levi_civita(2,2,1,q)(2)");
195 test_for_zero(levi_civita(2, 2, 1, q)(3), "levi_civita(2,2,1,q)(3)");
196 test_for_zero(levi_civita(2, 2, 2, q)(0), "levi_civita(2,2,2,q)(0)");
197 test_for_zero(levi_civita(2, 2, 2, q)(1), "levi_civita(2,2,2,q)(1)");
198 test_for_zero(levi_civita(2, 2, 2, q)(2), "levi_civita(2,2,2,q)(2)");
199 test_for_zero(levi_civita(2, 2, 2, q)(3), "levi_civita(2,2,2,q)(3)");
200 test_for_zero(levi_civita(2, 2, 3, q)(0), "levi_civita(2,2,3,q)(0)");
201 test_for_zero(levi_civita(2, 2, 3, q)(1), "levi_civita(2,2,3,q)(1)");
202 test_for_zero(levi_civita(2, 2, 3, q)(2), "levi_civita(2,2,3,q)(2)");
203 test_for_zero(levi_civita(2, 2, 3, q)(3), "levi_civita(2,2,3,q)(3)");
204
205 test_for_zero(levi_civita(2, 3, 0, q)(0), "levi_civita(2,3,0,q)(0)");
206 test_for_zero(levi_civita(2, 3, 0, q)(1) - 1, "levi_civita(2,3,0,q)(1)");
207 test_for_zero(levi_civita(2, 3, 0, q)(2), "levi_civita(2,3,0,q)(2)");
208 test_for_zero(levi_civita(2, 3, 0, q)(3), "levi_civita(2,3,0,q)(3)");
209 test_for_zero(levi_civita(2, 3, 1, q)(0) + 1, "levi_civita(2,3,1,q)(0)");
210 test_for_zero(levi_civita(2, 3, 1, q)(1), "levi_civita(2,3,1,q)(1)");
211 test_for_zero(levi_civita(2, 3, 1, q)(2), "levi_civita(2,3,1,q)(2)");
212 test_for_zero(levi_civita(2, 3, 1, q)(3), "levi_civita(2,3,1,q)(3)");
213 test_for_zero(levi_civita(2, 3, 2, q)(0), "levi_civita(2,3,2,q)(0)");
214 test_for_zero(levi_civita(2, 3, 2, q)(1), "levi_civita(2,3,2,q)(1)");
215 test_for_zero(levi_civita(2, 3, 2, q)(2), "levi_civita(2,3,2,q)(2)");
216 test_for_zero(levi_civita(2, 3, 2, q)(3), "levi_civita(2,3,2,q)(3)");
217 test_for_zero(levi_civita(2, 3, 3, q)(0), "levi_civita(2,3,3,q)(0)");
218 test_for_zero(levi_civita(2, 3, 3, q)(1), "levi_civita(2,3,3,q)(1)");
219 test_for_zero(levi_civita(2, 3, 3, q)(2), "levi_civita(2,3,3,q)(2)");
220 test_for_zero(levi_civita(2, 3, 3, q)(3), "levi_civita(2,3,3,q)(3)");
221
222 test_for_zero(levi_civita(3, 0, 0, q)(0), "levi_civita(3,0,0,q)(0)");
223 test_for_zero(levi_civita(3, 0, 0, q)(1), "levi_civita(3,0,0,q)(1)");
224 test_for_zero(levi_civita(3, 0, 0, q)(2), "levi_civita(3,0,0,q)(2)");
225 test_for_zero(levi_civita(3, 0, 0, q)(3), "levi_civita(3,0,0,q)(3)");
226 test_for_zero(levi_civita(3, 0, 1, q)(0), "levi_civita(3,0,1,q)(0)");
227 test_for_zero(levi_civita(3, 0, 1, q)(1), "levi_civita(3,0,1,q)(1)");
228 test_for_zero(levi_civita(3, 0, 1, q)(2) + 1, "levi_civita(3,0,1,q)(2)");
229 test_for_zero(levi_civita(3, 0, 1, q)(3), "levi_civita(3,0,1,q)(3)");
230 test_for_zero(levi_civita(3, 0, 2, q)(0), "levi_civita(3,0,2,q)(0)");
231 test_for_zero(levi_civita(3, 0, 2, q)(1) - 1, "levi_civita(3,0,2,q)(1)");
232 test_for_zero(levi_civita(3, 0, 2, q)(2), "levi_civita(3,0,2,q)(2)");
233 test_for_zero(levi_civita(3, 0, 2, q)(3), "levi_civita(3,0,2,q)(3)");
234 test_for_zero(levi_civita(3, 0, 3, q)(0), "levi_civita(3,0,3,q)(0)");
235 test_for_zero(levi_civita(3, 0, 3, q)(1), "levi_civita(3,0,3,q)(1)");
236 test_for_zero(levi_civita(3, 0, 3, q)(2), "levi_civita(3,0,3,q)(2)");
237 test_for_zero(levi_civita(3, 0, 3, q)(3), "levi_civita(3,0,3,q)(3)");
238
239 test_for_zero(levi_civita(3, 1, 0, q)(0), "levi_civita(3,1,0,q)(0)");
240 test_for_zero(levi_civita(3, 1, 0, q)(1), "levi_civita(3,1,0,q)(1)");
241 test_for_zero(levi_civita(3, 1, 0, q)(2) - 1, "levi_civita(3,1,0,q)(2)");
242 test_for_zero(levi_civita(3, 1, 0, q)(3), "levi_civita(3,1,0,q)(3)");
243 test_for_zero(levi_civita(3, 1, 1, q)(0), "levi_civita(3,1,1,q)(0)");
244 test_for_zero(levi_civita(3, 1, 1, q)(1), "levi_civita(3,1,1,q)(1)");
245 test_for_zero(levi_civita(3, 1, 1, q)(2), "levi_civita(3,1,1,q)(2)");
246 test_for_zero(levi_civita(3, 1, 1, q)(3), "levi_civita(3,1,1,q)(3)");
247 test_for_zero(levi_civita(3, 1, 2, q)(0) + 1, "levi_civita(3,1,2,q)(0)");
248 test_for_zero(levi_civita(3, 1, 2, q)(1), "levi_civita(3,1,2,q)(1)");
249 test_for_zero(levi_civita(3, 1, 2, q)(2), "levi_civita(3,1,2,q)(2)");
250 test_for_zero(levi_civita(3, 1, 2, q)(3), "levi_civita(3,1,2,q)(3)");
251 test_for_zero(levi_civita(3, 1, 3, q)(0), "levi_civita(3,1,3,q)(0)");
252 test_for_zero(levi_civita(3, 1, 3, q)(1), "levi_civita(3,1,3,q)(1)");
253 test_for_zero(levi_civita(3, 1, 3, q)(2), "levi_civita(3,1,3,q)(2)");
254 test_for_zero(levi_civita(3, 1, 3, q)(3), "levi_civita(3,1,3,q)(3)");
255
256 test_for_zero(levi_civita(3, 2, 0, q)(0), "levi_civita(3,2,0,q)(0)");
257 test_for_zero(levi_civita(3, 2, 0, q)(1) + 1, "levi_civita(3,2,0,q)(1)");
258 test_for_zero(levi_civita(3, 2, 0, q)(2), "levi_civita(3,2,0,q)(2)");
259 test_for_zero(levi_civita(3, 2, 0, q)(3), "levi_civita(3,2,0,q)(3)");
260 test_for_zero(levi_civita(3, 2, 1, q)(0) - 1, "levi_civita(3,2,1,q)(0)");
261 test_for_zero(levi_civita(3, 2, 1, q)(1), "levi_civita(3,2,1,q)(1)");
262 test_for_zero(levi_civita(3, 2, 1, q)(2), "levi_civita(3,2,1,q)(2)");
263 test_for_zero(levi_civita(3, 2, 1, q)(3), "levi_civita(3,2,1,q)(3)");
264 test_for_zero(levi_civita(3, 2, 2, q)(0), "levi_civita(3,2,2,q)(0)");
265 test_for_zero(levi_civita(3, 2, 2, q)(1), "levi_civita(3,2,2,q)(1)");
266 test_for_zero(levi_civita(3, 2, 2, q)(2), "levi_civita(3,2,2,q)(2)");
267 test_for_zero(levi_civita(3, 2, 2, q)(3), "levi_civita(3,2,2,q)(3)");
268 test_for_zero(levi_civita(3, 2, 3, q)(0), "levi_civita(3,2,3,q)(0)");
269 test_for_zero(levi_civita(3, 2, 3, q)(1), "levi_civita(3,2,3,q)(1)");
270 test_for_zero(levi_civita(3, 2, 3, q)(2), "levi_civita(3,2,3,q)(2)");
271 test_for_zero(levi_civita(3, 2, 3, q)(3), "levi_civita(3,2,3,q)(3)");
272
273 test_for_zero(levi_civita(3, 3, 0, q)(0), "levi_civita(3,3,0,q)(0)");
274 test_for_zero(levi_civita(3, 3, 0, q)(1), "levi_civita(3,3,0,q)(1)");
275 test_for_zero(levi_civita(3, 3, 0, q)(2), "levi_civita(3,3,0,q)(2)");
276 test_for_zero(levi_civita(3, 3, 0, q)(3), "levi_civita(3,3,0,q)(3)");
277 test_for_zero(levi_civita(3, 3, 1, q)(0), "levi_civita(3,3,1,q)(0)");
278 test_for_zero(levi_civita(3, 3, 1, q)(1), "levi_civita(3,3,1,q)(1)");
279 test_for_zero(levi_civita(3, 3, 1, q)(2), "levi_civita(3,3,1,q)(2)");
280 test_for_zero(levi_civita(3, 3, 1, q)(3), "levi_civita(3,3,1,q)(3)");
281 test_for_zero(levi_civita(3, 3, 2, q)(0), "levi_civita(3,3,2,q)(0)");
282 test_for_zero(levi_civita(3, 3, 2, q)(1), "levi_civita(3,3,2,q)(1)");
283 test_for_zero(levi_civita(3, 3, 2, q)(2), "levi_civita(3,3,2,q)(2)");
284 test_for_zero(levi_civita(3, 3, 2, q)(3), "levi_civita(3,3,2,q)(3)");
285 test_for_zero(levi_civita(3, 3, 3, q)(0), "levi_civita(3,3,3,q)(0)");
286 test_for_zero(levi_civita(3, 3, 3, q)(1), "levi_civita(3,3,3,q)(1)");
287 test_for_zero(levi_civita(3, 3, 3, q)(2), "levi_civita(3,3,3,q)(2)");
288 test_for_zero(levi_civita(3, 3, 3, q)(3), "levi_civita(3,3,3,q)(3)");
289
290 test_for_zero(levi_civita(0, 0, p, 0)(0), "levi_civita(0,0,p,0)(0)");
291 test_for_zero(levi_civita(0, 0, p, 0)(1), "levi_civita(0,0,p,0)(1)");
292 test_for_zero(levi_civita(0, 0, p, 0)(2), "levi_civita(0,0,p,0)(2)");
293 test_for_zero(levi_civita(0, 0, p, 0)(3), "levi_civita(0,0,p,0)(3)");
294 test_for_zero(levi_civita(0, 0, p, 1)(0), "levi_civita(0,0,p,1)(0)");
295 test_for_zero(levi_civita(0, 0, p, 1)(1), "levi_civita(0,0,p,1)(1)");
296 test_for_zero(levi_civita(0, 0, p, 1)(2), "levi_civita(0,0,p,1)(2)");
297 test_for_zero(levi_civita(0, 0, p, 1)(3), "levi_civita(0,0,p,1)(3)");
298 test_for_zero(levi_civita(0, 0, p, 2)(0), "levi_civita(0,0,p,2)(0)");
299 test_for_zero(levi_civita(0, 0, p, 2)(1), "levi_civita(0,0,p,2)(1)");
300 test_for_zero(levi_civita(0, 0, p, 2)(2), "levi_civita(0,0,p,2)(2)");
301 test_for_zero(levi_civita(0, 0, p, 2)(3), "levi_civita(0,0,p,2)(3)");
302 test_for_zero(levi_civita(0, 0, p, 3)(0), "levi_civita(0,0,p,3)(0)");
303 test_for_zero(levi_civita(0, 0, p, 3)(1), "levi_civita(0,0,p,3)(1)");
304 test_for_zero(levi_civita(0, 0, p, 3)(2), "levi_civita(0,0,p,3)(2)");
305 test_for_zero(levi_civita(0, 0, p, 3)(3), "levi_civita(0,0,p,3)(3)");
306
307 test_for_zero(levi_civita(0, 1, p, 0)(0), "levi_civita(0,1,p,0)(0)");
308 test_for_zero(levi_civita(0, 1, p, 0)(1), "levi_civita(0,1,p,0)(1)");
309 test_for_zero(levi_civita(0, 1, p, 0)(2), "levi_civita(0,1,p,0)(2)");
310 test_for_zero(levi_civita(0, 1, p, 0)(3), "levi_civita(0,1,p,0)(3)");
311 test_for_zero(levi_civita(0, 1, p, 1)(0), "levi_civita(0,1,p,1)(0)");
312 test_for_zero(levi_civita(0, 1, p, 1)(1), "levi_civita(0,1,p,1)(1)");
313 test_for_zero(levi_civita(0, 1, p, 1)(2), "levi_civita(0,1,p,1)(2)");
314 test_for_zero(levi_civita(0, 1, p, 1)(3), "levi_civita(0,1,p,1)(3)");
315 test_for_zero(levi_civita(0, 1, p, 2)(0), "levi_civita(0,1,p,2)(0)");
316 test_for_zero(levi_civita(0, 1, p, 2)(1), "levi_civita(0,1,p,2)(1)");
317 test_for_zero(levi_civita(0, 1, p, 2)(2), "levi_civita(0,1,p,2)(2)");
318 test_for_zero(levi_civita(0, 1, p, 2)(3) + 1, "levi_civita(0,1,p,2)(3)");
319 test_for_zero(levi_civita(0, 1, p, 3)(0), "levi_civita(0,1,p,3)(0)");
320 test_for_zero(levi_civita(0, 1, p, 3)(1), "levi_civita(0,1,p,3)(1)");
321 test_for_zero(levi_civita(0, 1, p, 3)(2) - 1, "levi_civita(0,1,p,3)(2)");
322 test_for_zero(levi_civita(0, 1, p, 3)(3), "levi_civita(0,1,p,3)(3)");
323
324 test_for_zero(levi_civita(0, 2, p, 0)(0), "levi_civita(0,2,p,0)(0)");
325 test_for_zero(levi_civita(0, 2, p, 0)(1), "levi_civita(0,2,p,0)(1)");
326 test_for_zero(levi_civita(0, 2, p, 0)(2), "levi_civita(0,2,p,0)(2)");
327 test_for_zero(levi_civita(0, 2, p, 0)(3), "levi_civita(0,2,p,0)(3)");
328 test_for_zero(levi_civita(0, 2, p, 1)(0), "levi_civita(0,2,p,1)(0)");
329 test_for_zero(levi_civita(0, 2, p, 1)(1), "levi_civita(0,2,p,1)(1)");
330 test_for_zero(levi_civita(0, 2, p, 1)(2), "levi_civita(0,2,p,1)(2)");
331 test_for_zero(levi_civita(0, 2, p, 1)(3) - 1, "levi_civita(0,2,p,1)(3)");
332 test_for_zero(levi_civita(0, 2, p, 2)(0), "levi_civita(0,2,p,2)(0)");
333 test_for_zero(levi_civita(0, 2, p, 2)(1), "levi_civita(0,2,p,2)(1)");
334 test_for_zero(levi_civita(0, 2, p, 2)(2), "levi_civita(0,2,p,2)(2)");
335 test_for_zero(levi_civita(0, 2, p, 2)(3), "levi_civita(0,2,p,2)(3)");
336 test_for_zero(levi_civita(0, 2, p, 3)(0), "levi_civita(0,2,p,3)(0)");
337 test_for_zero(levi_civita(0, 2, p, 3)(1) + 1, "levi_civita(0,2,p,3)(1)");
338 test_for_zero(levi_civita(0, 2, p, 3)(2), "levi_civita(0,2,p,3)(2)");
339 test_for_zero(levi_civita(0, 2, p, 3)(3), "levi_civita(0,2,p,3)(3)");
340
341 test_for_zero(levi_civita(0, 3, p, 0)(0), "levi_civita(0,3,p,0)(0)");
342 test_for_zero(levi_civita(0, 3, p, 0)(1), "levi_civita(0,3,p,0)(1)");
343 test_for_zero(levi_civita(0, 3, p, 0)(2), "levi_civita(0,3,p,0)(2)");
344 test_for_zero(levi_civita(0, 3, p, 0)(3), "levi_civita(0,3,p,0)(3)");
345 test_for_zero(levi_civita(0, 3, p, 1)(0), "levi_civita(0,3,p,1)(0)");
346 test_for_zero(levi_civita(0, 3, p, 1)(1), "levi_civita(0,3,p,1)(1)");
347 test_for_zero(levi_civita(0, 3, p, 1)(2) + 1, "levi_civita(0,3,p,1)(2)");
348 test_for_zero(levi_civita(0, 3, p, 1)(3), "levi_civita(0,3,p,1)(3)");
349 test_for_zero(levi_civita(0, 3, p, 2)(0), "levi_civita(0,3,p,2)(0)");
350 test_for_zero(levi_civita(0, 3, p, 2)(1) - 1, "levi_civita(0,3,p,2)(1)");
351 test_for_zero(levi_civita(0, 3, p, 2)(2), "levi_civita(0,3,p,2)(2)");
352 test_for_zero(levi_civita(0, 3, p, 2)(3), "levi_civita(0,3,p,2)(3)");
353 test_for_zero(levi_civita(0, 3, p, 3)(0), "levi_civita(0,3,p,3)(0)");
354 test_for_zero(levi_civita(0, 3, p, 3)(1), "levi_civita(0,3,p,3)(1)");
355 test_for_zero(levi_civita(0, 3, p, 3)(2), "levi_civita(0,3,p,3)(2)");
356 test_for_zero(levi_civita(0, 3, p, 3)(3), "levi_civita(0,3,p,3)(3)");
357
358 test_for_zero(levi_civita(1, 0, p, 0)(0), "levi_civita(1,0,p,0)(0)");
359 test_for_zero(levi_civita(1, 0, p, 0)(1), "levi_civita(1,0,p,0)(1)");
360 test_for_zero(levi_civita(1, 0, p, 0)(2), "levi_civita(1,0,p,0)(2)");
361 test_for_zero(levi_civita(1, 0, p, 0)(3), "levi_civita(1,0,p,0)(3)");
362 test_for_zero(levi_civita(1, 0, p, 1)(0), "levi_civita(1,0,p,1)(0)");
363 test_for_zero(levi_civita(1, 0, p, 1)(1), "levi_civita(1,0,p,1)(1)");
364 test_for_zero(levi_civita(1, 0, p, 1)(2), "levi_civita(1,0,p,1)(2)");
365 test_for_zero(levi_civita(1, 0, p, 1)(3), "levi_civita(1,0,p,1)(3)");
366 test_for_zero(levi_civita(1, 0, p, 2)(0), "levi_civita(1,0,p,2)(0)");
367 test_for_zero(levi_civita(1, 0, p, 2)(1), "levi_civita(1,0,p,2)(1)");
368 test_for_zero(levi_civita(1, 0, p, 2)(2), "levi_civita(1,0,p,2)(2)");
369 test_for_zero(levi_civita(1, 0, p, 2)(3) - 1, "levi_civita(1,0,p,2)(3)");
370 test_for_zero(levi_civita(1, 0, p, 3)(0), "levi_civita(1,0,p,3)(0)");
371 test_for_zero(levi_civita(1, 0, p, 3)(1), "levi_civita(1,0,p,3)(1)");
372 test_for_zero(levi_civita(1, 0, p, 3)(2) + 1, "levi_civita(1,0,p,3)(2)");
373 test_for_zero(levi_civita(1, 0, p, 3)(3), "levi_civita(1,0,p,3)(3)");
374
375 test_for_zero(levi_civita(1, 1, p, 0)(0), "levi_civita(1,1,p,0)(0)");
376 test_for_zero(levi_civita(1, 1, p, 0)(1), "levi_civita(1,1,p,0)(1)");
377 test_for_zero(levi_civita(1, 1, p, 0)(2), "levi_civita(1,1,p,0)(2)");
378 test_for_zero(levi_civita(1, 1, p, 0)(3), "levi_civita(1,1,p,0)(3)");
379 test_for_zero(levi_civita(1, 1, p, 1)(0), "levi_civita(1,1,p,1)(0)");
380 test_for_zero(levi_civita(1, 1, p, 1)(1), "levi_civita(1,1,p,1)(1)");
381 test_for_zero(levi_civita(1, 1, p, 1)(2), "levi_civita(1,1,p,1)(2)");
382 test_for_zero(levi_civita(1, 1, p, 1)(3), "levi_civita(1,1,p,1)(3)");
383 test_for_zero(levi_civita(1, 1, p, 2)(0), "levi_civita(1,1,p,2)(0)");
384 test_for_zero(levi_civita(1, 1, p, 2)(1), "levi_civita(1,1,p,2)(1)");
385 test_for_zero(levi_civita(1, 1, p, 2)(2), "levi_civita(1,1,p,2)(2)");
386 test_for_zero(levi_civita(1, 1, p, 2)(3), "levi_civita(1,1,p,2)(3)");
387 test_for_zero(levi_civita(1, 1, p, 3)(0), "levi_civita(1,1,p,3)(0)");
388 test_for_zero(levi_civita(1, 1, p, 3)(1), "levi_civita(1,1,p,3)(1)");
389 test_for_zero(levi_civita(1, 1, p, 3)(2), "levi_civita(1,1,p,3)(2)");
390 test_for_zero(levi_civita(1, 1, p, 3)(3), "levi_civita(1,1,p,3)(3)");
391
392 test_for_zero(levi_civita(1, 2, p, 0)(0), "levi_civita(1,2,p,0)(0)");
393 test_for_zero(levi_civita(1, 2, p, 0)(1), "levi_civita(1,2,p,0)(1)");
394 test_for_zero(levi_civita(1, 2, p, 0)(2), "levi_civita(1,2,p,0)(2)");
395 test_for_zero(levi_civita(1, 2, p, 0)(3) + 1, "levi_civita(1,2,p,0)(3)");
396 test_for_zero(levi_civita(1, 2, p, 1)(0), "levi_civita(1,2,p,1)(0)");
397 test_for_zero(levi_civita(1, 2, p, 1)(1), "levi_civita(1,2,p,1)(1)");
398 test_for_zero(levi_civita(1, 2, p, 1)(2), "levi_civita(1,2,p,1)(2)");
399 test_for_zero(levi_civita(1, 2, p, 1)(3), "levi_civita(1,2,p,1)(3)");
400 test_for_zero(levi_civita(1, 2, p, 2)(0), "levi_civita(1,2,p,2)(0)");
401 test_for_zero(levi_civita(1, 2, p, 2)(1), "levi_civita(1,2,p,2)(1)");
402 test_for_zero(levi_civita(1, 2, p, 2)(2), "levi_civita(1,2,p,2)(2)");
403 test_for_zero(levi_civita(1, 2, p, 2)(3), "levi_civita(1,2,p,2)(3)");
404 test_for_zero(levi_civita(1, 2, p, 3)(0) - 1, "levi_civita(1,2,p,3)(0)");
405 test_for_zero(levi_civita(1, 2, p, 3)(1), "levi_civita(1,2,p,3)(1)");
406 test_for_zero(levi_civita(1, 2, p, 3)(2), "levi_civita(1,2,p,3)(2)");
407 test_for_zero(levi_civita(1, 2, p, 3)(3), "levi_civita(1,2,p,3)(3)");
408
409 test_for_zero(levi_civita(1, 3, p, 0)(0), "levi_civita(1,3,p,0)(0)");
410 test_for_zero(levi_civita(1, 3, p, 0)(1), "levi_civita(1,3,p,0)(1)");
411 test_for_zero(levi_civita(1, 3, p, 0)(2) - 1, "levi_civita(1,3,p,0)(2)");
412 test_for_zero(levi_civita(1, 3, p, 0)(3), "levi_civita(1,3,p,0)(3)");
413 test_for_zero(levi_civita(1, 3, p, 1)(0), "levi_civita(1,3,p,1)(0)");
414 test_for_zero(levi_civita(1, 3, p, 1)(1), "levi_civita(1,3,p,1)(1)");
415 test_for_zero(levi_civita(1, 3, p, 1)(2), "levi_civita(1,3,p,1)(2)");
416 test_for_zero(levi_civita(1, 3, p, 1)(3), "levi_civita(1,3,p,1)(3)");
417 test_for_zero(levi_civita(1, 3, p, 2)(0) + 1, "levi_civita(1,3,p,2)(0)");
418 test_for_zero(levi_civita(1, 3, p, 2)(1), "levi_civita(1,3,p,2)(1)");
419 test_for_zero(levi_civita(1, 3, p, 2)(2), "levi_civita(1,3,p,2)(2)");
420 test_for_zero(levi_civita(1, 3, p, 2)(3), "levi_civita(1,3,p,2)(3)");
421 test_for_zero(levi_civita(1, 3, p, 3)(0), "levi_civita(1,3,p,3)(0)");
422 test_for_zero(levi_civita(1, 3, p, 3)(1), "levi_civita(1,3,p,3)(1)");
423 test_for_zero(levi_civita(1, 3, p, 3)(2), "levi_civita(1,3,p,3)(2)");
424 test_for_zero(levi_civita(1, 3, p, 3)(3), "levi_civita(1,3,p,3)(3)");
425
426 test_for_zero(levi_civita(2, 0, p, 0)(0), "levi_civita(2,0,p,0)(0)");
427 test_for_zero(levi_civita(2, 0, p, 0)(1), "levi_civita(2,0,p,0)(1)");
428 test_for_zero(levi_civita(2, 0, p, 0)(2), "levi_civita(2,0,p,0)(2)");
429 test_for_zero(levi_civita(2, 0, p, 0)(3), "levi_civita(2,0,p,0)(3)");
430 test_for_zero(levi_civita(2, 0, p, 1)(0), "levi_civita(2,0,p,1)(0)");
431 test_for_zero(levi_civita(2, 0, p, 1)(1), "levi_civita(2,0,p,1)(1)");
432 test_for_zero(levi_civita(2, 0, p, 1)(2), "levi_civita(2,0,p,1)(2)");
433 test_for_zero(levi_civita(2, 0, p, 1)(3) + 1, "levi_civita(2,0,p,1)(3)");
434 test_for_zero(levi_civita(2, 0, p, 2)(0), "levi_civita(2,0,p,2)(0)");
435 test_for_zero(levi_civita(2, 0, p, 2)(1), "levi_civita(2,0,p,2)(1)");
436 test_for_zero(levi_civita(2, 0, p, 2)(2), "levi_civita(2,0,p,2)(2)");
437 test_for_zero(levi_civita(2, 0, p, 2)(3), "levi_civita(2,0,p,2)(3)");
438 test_for_zero(levi_civita(2, 0, p, 3)(0), "levi_civita(2,0,p,3)(0)");
439 test_for_zero(levi_civita(2, 0, p, 3)(1) - 1, "levi_civita(2,0,p,3)(1)");
440 test_for_zero(levi_civita(2, 0, p, 3)(2), "levi_civita(2,0,p,3)(2)");
441 test_for_zero(levi_civita(2, 0, p, 3)(3), "levi_civita(2,0,p,3)(3)");
442
443 test_for_zero(levi_civita(2, 1, p, 0)(0), "levi_civita(2,1,p,0)(0)");
444 test_for_zero(levi_civita(2, 1, p, 0)(1), "levi_civita(2,1,p,0)(1)");
445 test_for_zero(levi_civita(2, 1, p, 0)(2), "levi_civita(2,1,p,0)(2)");
446 test_for_zero(levi_civita(2, 1, p, 0)(3) - 1, "levi_civita(2,1,p,0)(3)");
447 test_for_zero(levi_civita(2, 1, p, 1)(0), "levi_civita(2,1,p,1)(0)");
448 test_for_zero(levi_civita(2, 1, p, 1)(1), "levi_civita(2,1,p,1)(1)");
449 test_for_zero(levi_civita(2, 1, p, 1)(2), "levi_civita(2,1,p,1)(2)");
450 test_for_zero(levi_civita(2, 1, p, 1)(3), "levi_civita(2,1,p,1)(3)");
451 test_for_zero(levi_civita(2, 1, p, 2)(0), "levi_civita(2,1,p,2)(0)");
452 test_for_zero(levi_civita(2, 1, p, 2)(1), "levi_civita(2,1,p,2)(1)");
453 test_for_zero(levi_civita(2, 1, p, 2)(2), "levi_civita(2,1,p,2)(2)");
454 test_for_zero(levi_civita(2, 1, p, 2)(3), "levi_civita(2,1,p,2)(3)");
455 test_for_zero(levi_civita(2, 1, p, 3)(0) + 1, "levi_civita(2,1,p,3)(0)");
456 test_for_zero(levi_civita(2, 1, p, 3)(1), "levi_civita(2,1,p,3)(1)");
457 test_for_zero(levi_civita(2, 1, p, 3)(2), "levi_civita(2,1,p,3)(2)");
458 test_for_zero(levi_civita(2, 1, p, 3)(3), "levi_civita(2,1,p,3)(3)");
459
460 test_for_zero(levi_civita(2, 2, p, 0)(0), "levi_civita(2,2,p,0)(0)");
461 test_for_zero(levi_civita(2, 2, p, 0)(1), "levi_civita(2,2,p,0)(1)");
462 test_for_zero(levi_civita(2, 2, p, 0)(2), "levi_civita(2,2,p,0)(2)");
463 test_for_zero(levi_civita(2, 2, p, 0)(3), "levi_civita(2,2,p,0)(3)");
464 test_for_zero(levi_civita(2, 2, p, 1)(0), "levi_civita(2,2,p,1)(0)");
465 test_for_zero(levi_civita(2, 2, p, 1)(1), "levi_civita(2,2,p,1)(1)");
466 test_for_zero(levi_civita(2, 2, p, 1)(2), "levi_civita(2,2,p,1)(2)");
467 test_for_zero(levi_civita(2, 2, p, 1)(3), "levi_civita(2,2,p,1)(3)");
468 test_for_zero(levi_civita(2, 2, p, 2)(0), "levi_civita(2,2,p,2)(0)");
469 test_for_zero(levi_civita(2, 2, p, 2)(1), "levi_civita(2,2,p,2)(1)");
470 test_for_zero(levi_civita(2, 2, p, 2)(2), "levi_civita(2,2,p,2)(2)");
471 test_for_zero(levi_civita(2, 2, p, 2)(3), "levi_civita(2,2,p,2)(3)");
472 test_for_zero(levi_civita(2, 2, p, 3)(0), "levi_civita(2,2,p,3)(0)");
473 test_for_zero(levi_civita(2, 2, p, 3)(1), "levi_civita(2,2,p,3)(1)");
474 test_for_zero(levi_civita(2, 2, p, 3)(2), "levi_civita(2,2,p,3)(2)");
475 test_for_zero(levi_civita(2, 2, p, 3)(3), "levi_civita(2,2,p,3)(3)");
476
477 test_for_zero(levi_civita(2, 3, p, 0)(0), "levi_civita(2,3,p,0)(0)");
478 test_for_zero(levi_civita(2, 3, p, 0)(1) + 1, "levi_civita(2,3,p,0)(1)");
479 test_for_zero(levi_civita(2, 3, p, 0)(2), "levi_civita(2,3,p,0)(2)");
480 test_for_zero(levi_civita(2, 3, p, 0)(3), "levi_civita(2,3,p,0)(3)");
481 test_for_zero(levi_civita(2, 3, p, 1)(0) - 1, "levi_civita(2,3,p,1)(0)");
482 test_for_zero(levi_civita(2, 3, p, 1)(1), "levi_civita(2,3,p,1)(1)");
483 test_for_zero(levi_civita(2, 3, p, 1)(2), "levi_civita(2,3,p,1)(2)");
484 test_for_zero(levi_civita(2, 3, p, 1)(3), "levi_civita(2,3,p,1)(3)");
485 test_for_zero(levi_civita(2, 3, p, 2)(0), "levi_civita(2,3,p,2)(0)");
486 test_for_zero(levi_civita(2, 3, p, 2)(1), "levi_civita(2,3,p,2)(1)");
487 test_for_zero(levi_civita(2, 3, p, 2)(2), "levi_civita(2,3,p,2)(2)");
488 test_for_zero(levi_civita(2, 3, p, 2)(3), "levi_civita(2,3,p,2)(3)");
489 test_for_zero(levi_civita(2, 3, p, 3)(0), "levi_civita(2,3,p,3)(0)");
490 test_for_zero(levi_civita(2, 3, p, 3)(1), "levi_civita(2,3,p,3)(1)");
491 test_for_zero(levi_civita(2, 3, p, 3)(2), "levi_civita(2,3,p,3)(2)");
492 test_for_zero(levi_civita(2, 3, p, 3)(3), "levi_civita(2,3,p,3)(3)");
493
494 test_for_zero(levi_civita(3, 0, p, 0)(0), "levi_civita(3,0,p,0)(0)");
495 test_for_zero(levi_civita(3, 0, p, 0)(1), "levi_civita(3,0,p,0)(1)");
496 test_for_zero(levi_civita(3, 0, p, 0)(2), "levi_civita(3,0,p,0)(2)");
497 test_for_zero(levi_civita(3, 0, p, 0)(3), "levi_civita(3,0,p,0)(3)");
498 test_for_zero(levi_civita(3, 0, p, 1)(0), "levi_civita(3,0,p,1)(0)");
499 test_for_zero(levi_civita(3, 0, p, 1)(1), "levi_civita(3,0,p,1)(1)");
500 test_for_zero(levi_civita(3, 0, p, 1)(2) - 1, "levi_civita(3,0,p,1)(2)");
501 test_for_zero(levi_civita(3, 0, p, 1)(3), "levi_civita(3,0,p,1)(3)");
502 test_for_zero(levi_civita(3, 0, p, 2)(0), "levi_civita(3,0,p,2)(0)");
503 test_for_zero(levi_civita(3, 0, p, 2)(1) + 1, "levi_civita(3,0,p,2)(1)");
504 test_for_zero(levi_civita(3, 0, p, 2)(2), "levi_civita(3,0,p,2)(2)");
505 test_for_zero(levi_civita(3, 0, p, 2)(3), "levi_civita(3,0,p,2)(3)");
506 test_for_zero(levi_civita(3, 0, p, 3)(0), "levi_civita(3,0,p,3)(0)");
507 test_for_zero(levi_civita(3, 0, p, 3)(1), "levi_civita(3,0,p,3)(1)");
508 test_for_zero(levi_civita(3, 0, p, 3)(2), "levi_civita(3,0,p,3)(2)");
509 test_for_zero(levi_civita(3, 0, p, 3)(3), "levi_civita(3,0,p,3)(3)");
510
511 test_for_zero(levi_civita(3, 1, p, 0)(0), "levi_civita(3,1,p,0)(0)");
512 test_for_zero(levi_civita(3, 1, p, 0)(1), "levi_civita(3,1,p,0)(1)");
513 test_for_zero(levi_civita(3, 1, p, 0)(2) + 1, "levi_civita(3,1,p,0)(2)");
514 test_for_zero(levi_civita(3, 1, p, 0)(3), "levi_civita(3,1,p,0)(3)");
515 test_for_zero(levi_civita(3, 1, p, 1)(0), "levi_civita(3,1,p,1)(0)");
516 test_for_zero(levi_civita(3, 1, p, 1)(1), "levi_civita(3,1,p,1)(1)");
517 test_for_zero(levi_civita(3, 1, p, 1)(2), "levi_civita(3,1,p,1)(2)");
518 test_for_zero(levi_civita(3, 1, p, 1)(3), "levi_civita(3,1,p,1)(3)");
519 test_for_zero(levi_civita(3, 1, p, 2)(0) - 1, "levi_civita(3,1,p,2)(0)");
520 test_for_zero(levi_civita(3, 1, p, 2)(1), "levi_civita(3,1,p,2)(1)");
521 test_for_zero(levi_civita(3, 1, p, 2)(2), "levi_civita(3,1,p,2)(2)");
522 test_for_zero(levi_civita(3, 1, p, 2)(3), "levi_civita(3,1,p,2)(3)");
523 test_for_zero(levi_civita(3, 1, p, 3)(0), "levi_civita(3,1,p,3)(0)");
524 test_for_zero(levi_civita(3, 1, p, 3)(1), "levi_civita(3,1,p,3)(1)");
525 test_for_zero(levi_civita(3, 1, p, 3)(2), "levi_civita(3,1,p,3)(2)");
526 test_for_zero(levi_civita(3, 1, p, 3)(3), "levi_civita(3,1,p,3)(3)");
527
528 test_for_zero(levi_civita(3, 2, p, 0)(0), "levi_civita(3,2,p,0)(0)");
529 test_for_zero(levi_civita(3, 2, p, 0)(1) - 1, "levi_civita(3,2,p,0)(1)");
530 test_for_zero(levi_civita(3, 2, p, 0)(2), "levi_civita(3,2,p,0)(2)");
531 test_for_zero(levi_civita(3, 2, p, 0)(3), "levi_civita(3,2,p,0)(3)");
532 test_for_zero(levi_civita(3, 2, p, 1)(0) + 1, "levi_civita(3,2,p,1)(0)");
533 test_for_zero(levi_civita(3, 2, p, 1)(1), "levi_civita(3,2,p,1)(1)");
534 test_for_zero(levi_civita(3, 2, p, 1)(2), "levi_civita(3,2,p,1)(2)");
535 test_for_zero(levi_civita(3, 2, p, 1)(3), "levi_civita(3,2,p,1)(3)");
536 test_for_zero(levi_civita(3, 2, p, 2)(0), "levi_civita(3,2,p,2)(0)");
537 test_for_zero(levi_civita(3, 2, p, 2)(1), "levi_civita(3,2,p,2)(1)");
538 test_for_zero(levi_civita(3, 2, p, 2)(2), "levi_civita(3,2,p,2)(2)");
539 test_for_zero(levi_civita(3, 2, p, 2)(3), "levi_civita(3,2,p,2)(3)");
540 test_for_zero(levi_civita(3, 2, p, 3)(0), "levi_civita(3,2,p,3)(0)");
541 test_for_zero(levi_civita(3, 2, p, 3)(1), "levi_civita(3,2,p,3)(1)");
542 test_for_zero(levi_civita(3, 2, p, 3)(2), "levi_civita(3,2,p,3)(2)");
543 test_for_zero(levi_civita(3, 2, p, 3)(3), "levi_civita(3,2,p,3)(3)");
544
545 test_for_zero(levi_civita(3, 3, p, 0)(0), "levi_civita(3,3,p,0)(0)");
546 test_for_zero(levi_civita(3, 3, p, 0)(1), "levi_civita(3,3,p,0)(1)");
547 test_for_zero(levi_civita(3, 3, p, 0)(2), "levi_civita(3,3,p,0)(2)");
548 test_for_zero(levi_civita(3, 3, p, 0)(3), "levi_civita(3,3,p,0)(3)");
549 test_for_zero(levi_civita(3, 3, p, 1)(0), "levi_civita(3,3,p,1)(0)");
550 test_for_zero(levi_civita(3, 3, p, 1)(1), "levi_civita(3,3,p,1)(1)");
551 test_for_zero(levi_civita(3, 3, p, 1)(2), "levi_civita(3,3,p,1)(2)");
552 test_for_zero(levi_civita(3, 3, p, 1)(3), "levi_civita(3,3,p,1)(3)");
553 test_for_zero(levi_civita(3, 3, p, 2)(0), "levi_civita(3,3,p,2)(0)");
554 test_for_zero(levi_civita(3, 3, p, 2)(1), "levi_civita(3,3,p,2)(1)");
555 test_for_zero(levi_civita(3, 3, p, 2)(2), "levi_civita(3,3,p,2)(2)");
556 test_for_zero(levi_civita(3, 3, p, 2)(3), "levi_civita(3,3,p,2)(3)");
557 test_for_zero(levi_civita(3, 3, p, 3)(0), "levi_civita(3,3,p,3)(0)");
558 test_for_zero(levi_civita(3, 3, p, 3)(1), "levi_civita(3,3,p,3)(1)");
559 test_for_zero(levi_civita(3, 3, p, 3)(2), "levi_civita(3,3,p,3)(2)");
560 test_for_zero(levi_civita(3, 3, p, 3)(3), "levi_civita(3,3,p,3)(3)");
561
562 test_for_zero(levi_civita(0, o, 0, 0)(0), "levi_civita(0,o,0,0)(0)");
563 test_for_zero(levi_civita(0, o, 0, 0)(1), "levi_civita(0,o,0,0)(1)");
564 test_for_zero(levi_civita(0, o, 0, 0)(2), "levi_civita(0,o,0,0)(2)");
565 test_for_zero(levi_civita(0, o, 0, 0)(3), "levi_civita(0,o,0,0)(3)");
566 test_for_zero(levi_civita(0, o, 0, 1)(0), "levi_civita(0,o,0,1)(0)");
567 test_for_zero(levi_civita(0, o, 0, 1)(1), "levi_civita(0,o,0,1)(1)");
568 test_for_zero(levi_civita(0, o, 0, 1)(2), "levi_civita(0,o,0,1)(2)");
569 test_for_zero(levi_civita(0, o, 0, 1)(3), "levi_civita(0,o,0,1)(3)");
570 test_for_zero(levi_civita(0, o, 0, 2)(0), "levi_civita(0,o,0,2)(0)");
571 test_for_zero(levi_civita(0, o, 0, 2)(1), "levi_civita(0,o,0,2)(1)");
572 test_for_zero(levi_civita(0, o, 0, 2)(2), "levi_civita(0,o,0,2)(2)");
573 test_for_zero(levi_civita(0, o, 0, 2)(3), "levi_civita(0,o,0,2)(3)");
574 test_for_zero(levi_civita(0, o, 0, 3)(0), "levi_civita(0,o,0,3)(0)");
575 test_for_zero(levi_civita(0, o, 0, 3)(1), "levi_civita(0,o,0,3)(1)");
576 test_for_zero(levi_civita(0, o, 0, 3)(2), "levi_civita(0,o,0,3)(2)");
577 test_for_zero(levi_civita(0, o, 0, 3)(3), "levi_civita(0,o,0,3)(3)");
578
579 test_for_zero(levi_civita(0, o, 1, 0)(0), "levi_civita(0,o,1,0)(0)");
580 test_for_zero(levi_civita(0, o, 1, 0)(1), "levi_civita(0,o,1,0)(1)");
581 test_for_zero(levi_civita(0, o, 1, 0)(2), "levi_civita(0,o,1,0)(2)");
582 test_for_zero(levi_civita(0, o, 1, 0)(3), "levi_civita(0,o,1,0)(3)");
583 test_for_zero(levi_civita(0, o, 1, 1)(0), "levi_civita(0,o,1,1)(0)");
584 test_for_zero(levi_civita(0, o, 1, 1)(1), "levi_civita(0,o,1,1)(1)");
585 test_for_zero(levi_civita(0, o, 1, 1)(2), "levi_civita(0,o,1,1)(2)");
586 test_for_zero(levi_civita(0, o, 1, 1)(3), "levi_civita(0,o,1,1)(3)");
587 test_for_zero(levi_civita(0, o, 1, 2)(0), "levi_civita(0,o,1,2)(0)");
588 test_for_zero(levi_civita(0, o, 1, 2)(1), "levi_civita(0,o,1,2)(1)");
589 test_for_zero(levi_civita(0, o, 1, 2)(2), "levi_civita(0,o,1,2)(2)");
590 test_for_zero(levi_civita(0, o, 1, 2)(3) - 1, "levi_civita(0,o,1,2)(3)");
591 test_for_zero(levi_civita(0, o, 1, 3)(0), "levi_civita(0,o,1,3)(0)");
592 test_for_zero(levi_civita(0, o, 1, 3)(1), "levi_civita(0,o,1,3)(1)");
593 test_for_zero(levi_civita(0, o, 1, 3)(2) + 1, "levi_civita(0,o,1,3)(2)");
594 test_for_zero(levi_civita(0, o, 1, 3)(3), "levi_civita(0,o,1,3)(3)");
595
596 test_for_zero(levi_civita(0, o, 2, 0)(0), "levi_civita(0,o,2,0)(0)");
597 test_for_zero(levi_civita(0, o, 2, 0)(1), "levi_civita(0,o,2,0)(1)");
598 test_for_zero(levi_civita(0, o, 2, 0)(2), "levi_civita(0,o,2,0)(2)");
599 test_for_zero(levi_civita(0, o, 2, 0)(3), "levi_civita(0,o,2,0)(3)");
600 test_for_zero(levi_civita(0, o, 2, 1)(0), "levi_civita(0,o,2,1)(0)");
601 test_for_zero(levi_civita(0, o, 2, 1)(1), "levi_civita(0,o,2,1)(1)");
602 test_for_zero(levi_civita(0, o, 2, 1)(2), "levi_civita(0,o,2,1)(2)");
603 test_for_zero(levi_civita(0, o, 2, 1)(3) + 1, "levi_civita(0,o,2,1)(3)");
604 test_for_zero(levi_civita(0, o, 2, 2)(0), "levi_civita(0,o,2,2)(0)");
605 test_for_zero(levi_civita(0, o, 2, 2)(1), "levi_civita(0,o,2,2)(1)");
606 test_for_zero(levi_civita(0, o, 2, 2)(2), "levi_civita(0,o,2,2)(2)");
607 test_for_zero(levi_civita(0, o, 2, 2)(3), "levi_civita(0,o,2,2)(3)");
608 test_for_zero(levi_civita(0, o, 2, 3)(0), "levi_civita(0,o,2,3)(0)");
609 test_for_zero(levi_civita(0, o, 2, 3)(1) - 1, "levi_civita(0,o,2,3)(1)");
610 test_for_zero(levi_civita(0, o, 2, 3)(2), "levi_civita(0,o,2,3)(2)");
611 test_for_zero(levi_civita(0, o, 2, 3)(3), "levi_civita(0,o,2,3)(3)");
612
613 test_for_zero(levi_civita(0, o, 3, 0)(0), "levi_civita(0,o,3,0)(0)");
614 test_for_zero(levi_civita(0, o, 3, 0)(1), "levi_civita(0,o,3,0)(1)");
615 test_for_zero(levi_civita(0, o, 3, 0)(2), "levi_civita(0,o,3,0)(2)");
616 test_for_zero(levi_civita(0, o, 3, 0)(3), "levi_civita(0,o,3,0)(3)");
617 test_for_zero(levi_civita(0, o, 3, 1)(0), "levi_civita(0,o,3,1)(0)");
618 test_for_zero(levi_civita(0, o, 3, 1)(1), "levi_civita(0,o,3,1)(1)");
619 test_for_zero(levi_civita(0, o, 3, 1)(2) - 1, "levi_civita(0,o,3,1)(2)");
620 test_for_zero(levi_civita(0, o, 3, 1)(3), "levi_civita(0,o,3,1)(3)");
621 test_for_zero(levi_civita(0, o, 3, 2)(0), "levi_civita(0,o,3,2)(0)");
622 test_for_zero(levi_civita(0, o, 3, 2)(1) + 1, "levi_civita(0,o,3,2)(1)");
623 test_for_zero(levi_civita(0, o, 3, 2)(2), "levi_civita(0,o,3,2)(2)");
624 test_for_zero(levi_civita(0, o, 3, 2)(3), "levi_civita(0,o,3,2)(3)");
625 test_for_zero(levi_civita(0, o, 3, 3)(0), "levi_civita(0,o,3,3)(0)");
626 test_for_zero(levi_civita(0, o, 3, 3)(1), "levi_civita(0,o,3,3)(1)");
627 test_for_zero(levi_civita(0, o, 3, 3)(2), "levi_civita(0,o,3,3)(2)");
628 test_for_zero(levi_civita(0, o, 3, 3)(3), "levi_civita(0,o,3,3)(3)");
629
630 test_for_zero(levi_civita(1, o, 0, 0)(0), "levi_civita(1,o,0,0)(0)");
631 test_for_zero(levi_civita(1, o, 0, 0)(1), "levi_civita(1,o,0,0)(1)");
632 test_for_zero(levi_civita(1, o, 0, 0)(2), "levi_civita(1,o,0,0)(2)");
633 test_for_zero(levi_civita(1, o, 0, 0)(3), "levi_civita(1,o,0,0)(3)");
634 test_for_zero(levi_civita(1, o, 0, 1)(0), "levi_civita(1,o,0,1)(0)");
635 test_for_zero(levi_civita(1, o, 0, 1)(1), "levi_civita(1,o,0,1)(1)");
636 test_for_zero(levi_civita(1, o, 0, 1)(2), "levi_civita(1,o,0,1)(2)");
637 test_for_zero(levi_civita(1, o, 0, 1)(3), "levi_civita(1,o,0,1)(3)");
638 test_for_zero(levi_civita(1, o, 0, 2)(0), "levi_civita(1,o,0,2)(0)");
639 test_for_zero(levi_civita(1, o, 0, 2)(1), "levi_civita(1,o,0,2)(1)");
640 test_for_zero(levi_civita(1, o, 0, 2)(2), "levi_civita(1,o,0,2)(2)");
641 test_for_zero(levi_civita(1, o, 0, 2)(3) + 1, "levi_civita(1,o,0,2)(3)");
642 test_for_zero(levi_civita(1, o, 0, 3)(0), "levi_civita(1,o,0,3)(0)");
643 test_for_zero(levi_civita(1, o, 0, 3)(1), "levi_civita(1,o,0,3)(1)");
644 test_for_zero(levi_civita(1, o, 0, 3)(2) - 1, "levi_civita(1,o,0,3)(2)");
645 test_for_zero(levi_civita(1, o, 0, 3)(3), "levi_civita(1,o,0,3)(3)");
646
647 test_for_zero(levi_civita(1, o, 1, 0)(0), "levi_civita(1,o,1,0)(0)");
648 test_for_zero(levi_civita(1, o, 1, 0)(1), "levi_civita(1,o,1,0)(1)");
649 test_for_zero(levi_civita(1, o, 1, 0)(2), "levi_civita(1,o,1,0)(2)");
650 test_for_zero(levi_civita(1, o, 1, 0)(3), "levi_civita(1,o,1,0)(3)");
651 test_for_zero(levi_civita(1, o, 1, 1)(0), "levi_civita(1,o,1,1)(0)");
652 test_for_zero(levi_civita(1, o, 1, 1)(1), "levi_civita(1,o,1,1)(1)");
653 test_for_zero(levi_civita(1, o, 1, 1)(2), "levi_civita(1,o,1,1)(2)");
654 test_for_zero(levi_civita(1, o, 1, 1)(3), "levi_civita(1,o,1,1)(3)");
655 test_for_zero(levi_civita(1, o, 1, 2)(0), "levi_civita(1,o,1,2)(0)");
656 test_for_zero(levi_civita(1, o, 1, 2)(1), "levi_civita(1,o,1,2)(1)");
657 test_for_zero(levi_civita(1, o, 1, 2)(2), "levi_civita(1,o,1,2)(2)");
658 test_for_zero(levi_civita(1, o, 1, 2)(3), "levi_civita(1,o,1,2)(3)");
659 test_for_zero(levi_civita(1, o, 1, 3)(0), "levi_civita(1,o,1,3)(0)");
660 test_for_zero(levi_civita(1, o, 1, 3)(1), "levi_civita(1,o,1,3)(1)");
661 test_for_zero(levi_civita(1, o, 1, 3)(2), "levi_civita(1,o,1,3)(2)");
662 test_for_zero(levi_civita(1, o, 1, 3)(3), "levi_civita(1,o,1,3)(3)");
663
664 test_for_zero(levi_civita(1, o, 2, 0)(0), "levi_civita(1,o,2,0)(0)");
665 test_for_zero(levi_civita(1, o, 2, 0)(1), "levi_civita(1,o,2,0)(1)");
666 test_for_zero(levi_civita(1, o, 2, 0)(2), "levi_civita(1,o,2,0)(2)");
667 test_for_zero(levi_civita(1, o, 2, 0)(3) - 1, "levi_civita(1,o,2,0)(3)");
668 test_for_zero(levi_civita(1, o, 2, 1)(0), "levi_civita(1,o,2,1)(0)");
669 test_for_zero(levi_civita(1, o, 2, 1)(1), "levi_civita(1,o,2,1)(1)");
670 test_for_zero(levi_civita(1, o, 2, 1)(2), "levi_civita(1,o,2,1)(2)");
671 test_for_zero(levi_civita(1, o, 2, 1)(3), "levi_civita(1,o,2,1)(3)");
672 test_for_zero(levi_civita(1, o, 2, 2)(0), "levi_civita(1,o,2,2)(0)");
673 test_for_zero(levi_civita(1, o, 2, 2)(1), "levi_civita(1,o,2,2)(1)");
674 test_for_zero(levi_civita(1, o, 2, 2)(2), "levi_civita(1,o,2,2)(2)");
675 test_for_zero(levi_civita(1, o, 2, 2)(3), "levi_civita(1,o,2,2)(3)");
676 test_for_zero(levi_civita(1, o, 2, 3)(0) + 1, "levi_civita(1,o,2,3)(0)");
677 test_for_zero(levi_civita(1, o, 2, 3)(1), "levi_civita(1,o,2,3)(1)");
678 test_for_zero(levi_civita(1, o, 2, 3)(2), "levi_civita(1,o,2,3)(2)");
679 test_for_zero(levi_civita(1, o, 2, 3)(3), "levi_civita(1,o,2,3)(3)");
680
681 test_for_zero(levi_civita(1, o, 3, 0)(0), "levi_civita(1,o,3,0)(0)");
682 test_for_zero(levi_civita(1, o, 3, 0)(1), "levi_civita(1,o,3,0)(1)");
683 test_for_zero(levi_civita(1, o, 3, 0)(2) + 1, "levi_civita(1,o,3,0)(2)");
684 test_for_zero(levi_civita(1, o, 3, 0)(3), "levi_civita(1,o,3,0)(3)");
685 test_for_zero(levi_civita(1, o, 3, 1)(0), "levi_civita(1,o,3,1)(0)");
686 test_for_zero(levi_civita(1, o, 3, 1)(1), "levi_civita(1,o,3,1)(1)");
687 test_for_zero(levi_civita(1, o, 3, 1)(2), "levi_civita(1,o,3,1)(2)");
688 test_for_zero(levi_civita(1, o, 3, 1)(3), "levi_civita(1,o,3,1)(3)");
689 test_for_zero(levi_civita(1, o, 3, 2)(0) - 1, "levi_civita(1,o,3,2)(0)");
690 test_for_zero(levi_civita(1, o, 3, 2)(1), "levi_civita(1,o,3,2)(1)");
691 test_for_zero(levi_civita(1, o, 3, 2)(2), "levi_civita(1,o,3,2)(2)");
692 test_for_zero(levi_civita(1, o, 3, 2)(3), "levi_civita(1,o,3,2)(3)");
693 test_for_zero(levi_civita(1, o, 3, 3)(0), "levi_civita(1,o,3,3)(0)");
694 test_for_zero(levi_civita(1, o, 3, 3)(1), "levi_civita(1,o,3,3)(1)");
695 test_for_zero(levi_civita(1, o, 3, 3)(2), "levi_civita(1,o,3,3)(2)");
696 test_for_zero(levi_civita(1, o, 3, 3)(3), "levi_civita(1,o,3,3)(3)");
697
698 test_for_zero(levi_civita(2, o, 0, 0)(0), "levi_civita(2,o,0,0)(0)");
699 test_for_zero(levi_civita(2, o, 0, 0)(1), "levi_civita(2,o,0,0)(1)");
700 test_for_zero(levi_civita(2, o, 0, 0)(2), "levi_civita(2,o,0,0)(2)");
701 test_for_zero(levi_civita(2, o, 0, 0)(3), "levi_civita(2,o,0,0)(3)");
702 test_for_zero(levi_civita(2, o, 0, 1)(0), "levi_civita(2,o,0,1)(0)");
703 test_for_zero(levi_civita(2, o, 0, 1)(1), "levi_civita(2,o,0,1)(1)");
704 test_for_zero(levi_civita(2, o, 0, 1)(2), "levi_civita(2,o,0,1)(2)");
705 test_for_zero(levi_civita(2, o, 0, 1)(3) - 1, "levi_civita(2,o,0,1)(3)");
706 test_for_zero(levi_civita(2, o, 0, 2)(0), "levi_civita(2,o,0,2)(0)");
707 test_for_zero(levi_civita(2, o, 0, 2)(1), "levi_civita(2,o,0,2)(1)");
708 test_for_zero(levi_civita(2, o, 0, 2)(2), "levi_civita(2,o,0,2)(2)");
709 test_for_zero(levi_civita(2, o, 0, 2)(3), "levi_civita(2,o,0,2)(3)");
710 test_for_zero(levi_civita(2, o, 0, 3)(0), "levi_civita(2,o,0,3)(0)");
711 test_for_zero(levi_civita(2, o, 0, 3)(1) + 1, "levi_civita(2,o,0,3)(1)");
712 test_for_zero(levi_civita(2, o, 0, 3)(2), "levi_civita(2,o,0,3)(2)");
713 test_for_zero(levi_civita(2, o, 0, 3)(3), "levi_civita(2,o,0,3)(3)");
714
715 test_for_zero(levi_civita(2, o, 1, 0)(0), "levi_civita(2,o,1,0)(0)");
716 test_for_zero(levi_civita(2, o, 1, 0)(1), "levi_civita(2,o,1,0)(1)");
717 test_for_zero(levi_civita(2, o, 1, 0)(2), "levi_civita(2,o,1,0)(2)");
718 test_for_zero(levi_civita(2, o, 1, 0)(3) + 1, "levi_civita(2,o,1,0)(3)");
719 test_for_zero(levi_civita(2, o, 1, 1)(0), "levi_civita(2,o,1,1)(0)");
720 test_for_zero(levi_civita(2, o, 1, 1)(1), "levi_civita(2,o,1,1)(1)");
721 test_for_zero(levi_civita(2, o, 1, 1)(2), "levi_civita(2,o,1,1)(2)");
722 test_for_zero(levi_civita(2, o, 1, 1)(3), "levi_civita(2,o,1,1)(3)");
723 test_for_zero(levi_civita(2, o, 1, 2)(0), "levi_civita(2,o,1,2)(0)");
724 test_for_zero(levi_civita(2, o, 1, 2)(1), "levi_civita(2,o,1,2)(1)");
725 test_for_zero(levi_civita(2, o, 1, 2)(2), "levi_civita(2,o,1,2)(2)");
726 test_for_zero(levi_civita(2, o, 1, 2)(3), "levi_civita(2,o,1,2)(3)");
727 test_for_zero(levi_civita(2, o, 1, 3)(0) - 1, "levi_civita(2,o,1,3)(0)");
728 test_for_zero(levi_civita(2, o, 1, 3)(1), "levi_civita(2,o,1,3)(1)");
729 test_for_zero(levi_civita(2, o, 1, 3)(2), "levi_civita(2,o,1,3)(2)");
730 test_for_zero(levi_civita(2, o, 1, 3)(3), "levi_civita(2,o,1,3)(3)");
731
732 test_for_zero(levi_civita(2, o, 2, 0)(0), "levi_civita(2,o,2,0)(0)");
733 test_for_zero(levi_civita(2, o, 2, 0)(1), "levi_civita(2,o,2,0)(1)");
734 test_for_zero(levi_civita(2, o, 2, 0)(2), "levi_civita(2,o,2,0)(2)");
735 test_for_zero(levi_civita(2, o, 2, 0)(3), "levi_civita(2,o,2,0)(3)");
736 test_for_zero(levi_civita(2, o, 2, 1)(0), "levi_civita(2,o,2,1)(0)");
737 test_for_zero(levi_civita(2, o, 2, 1)(1), "levi_civita(2,o,2,1)(1)");
738 test_for_zero(levi_civita(2, o, 2, 1)(2), "levi_civita(2,o,2,1)(2)");
739 test_for_zero(levi_civita(2, o, 2, 1)(3), "levi_civita(2,o,2,1)(3)");
740 test_for_zero(levi_civita(2, o, 2, 2)(0), "levi_civita(2,o,2,2)(0)");
741 test_for_zero(levi_civita(2, o, 2, 2)(1), "levi_civita(2,o,2,2)(1)");
742 test_for_zero(levi_civita(2, o, 2, 2)(2), "levi_civita(2,o,2,2)(2)");
743 test_for_zero(levi_civita(2, o, 2, 2)(3), "levi_civita(2,o,2,2)(3)");
744 test_for_zero(levi_civita(2, o, 2, 3)(0), "levi_civita(2,o,2,3)(0)");
745 test_for_zero(levi_civita(2, o, 2, 3)(1), "levi_civita(2,o,2,3)(1)");
746 test_for_zero(levi_civita(2, o, 2, 3)(2), "levi_civita(2,o,2,3)(2)");
747 test_for_zero(levi_civita(2, o, 2, 3)(3), "levi_civita(2,o,2,3)(3)");
748
749 test_for_zero(levi_civita(2, o, 3, 0)(0), "levi_civita(2,o,3,0)(0)");
750 test_for_zero(levi_civita(2, o, 3, 0)(1) - 1, "levi_civita(2,o,3,0)(1)");
751 test_for_zero(levi_civita(2, o, 3, 0)(2), "levi_civita(2,o,3,0)(2)");
752 test_for_zero(levi_civita(2, o, 3, 0)(3), "levi_civita(2,o,3,0)(3)");
753 test_for_zero(levi_civita(2, o, 3, 1)(0) + 1, "levi_civita(2,o,3,1)(0)");
754 test_for_zero(levi_civita(2, o, 3, 1)(1), "levi_civita(2,o,3,1)(1)");
755 test_for_zero(levi_civita(2, o, 3, 1)(2), "levi_civita(2,o,3,1)(2)");
756 test_for_zero(levi_civita(2, o, 3, 1)(3), "levi_civita(2,o,3,1)(3)");
757 test_for_zero(levi_civita(2, o, 3, 2)(0), "levi_civita(2,o,3,2)(0)");
758 test_for_zero(levi_civita(2, o, 3, 2)(1), "levi_civita(2,o,3,2)(1)");
759 test_for_zero(levi_civita(2, o, 3, 2)(2), "levi_civita(2,o,3,2)(2)");
760 test_for_zero(levi_civita(2, o, 3, 2)(3), "levi_civita(2,o,3,2)(3)");
761 test_for_zero(levi_civita(2, o, 3, 3)(0), "levi_civita(2,o,3,3)(0)");
762 test_for_zero(levi_civita(2, o, 3, 3)(1), "levi_civita(2,o,3,3)(1)");
763 test_for_zero(levi_civita(2, o, 3, 3)(2), "levi_civita(2,o,3,3)(2)");
764 test_for_zero(levi_civita(2, o, 3, 3)(3), "levi_civita(2,o,3,3)(3)");
765
766 test_for_zero(levi_civita(3, o, 0, 0)(0), "levi_civita(3,o,0,0)(0)");
767 test_for_zero(levi_civita(3, o, 0, 0)(1), "levi_civita(3,o,0,0)(1)");
768 test_for_zero(levi_civita(3, o, 0, 0)(2), "levi_civita(3,o,0,0)(2)");
769 test_for_zero(levi_civita(3, o, 0, 0)(3), "levi_civita(3,o,0,0)(3)");
770 test_for_zero(levi_civita(3, o, 0, 1)(0), "levi_civita(3,o,0,1)(0)");
771 test_for_zero(levi_civita(3, o, 0, 1)(1), "levi_civita(3,o,0,1)(1)");
772 test_for_zero(levi_civita(3, o, 0, 1)(2) + 1, "levi_civita(3,o,0,1)(2)");
773 test_for_zero(levi_civita(3, o, 0, 1)(3), "levi_civita(3,o,0,1)(3)");
774 test_for_zero(levi_civita(3, o, 0, 2)(0), "levi_civita(3,o,0,2)(0)");
775 test_for_zero(levi_civita(3, o, 0, 2)(1) - 1, "levi_civita(3,o,0,2)(1)");
776 test_for_zero(levi_civita(3, o, 0, 2)(2), "levi_civita(3,o,0,2)(2)");
777 test_for_zero(levi_civita(3, o, 0, 2)(3), "levi_civita(3,o,0,2)(3)");
778 test_for_zero(levi_civita(3, o, 0, 3)(0), "levi_civita(3,o,0,3)(0)");
779 test_for_zero(levi_civita(3, o, 0, 3)(1), "levi_civita(3,o,0,3)(1)");
780 test_for_zero(levi_civita(3, o, 0, 3)(2), "levi_civita(3,o,0,3)(2)");
781 test_for_zero(levi_civita(3, o, 0, 3)(3), "levi_civita(3,o,0,3)(3)");
782
783 test_for_zero(levi_civita(3, o, 1, 0)(0), "levi_civita(3,o,1,0)(0)");
784 test_for_zero(levi_civita(3, o, 1, 0)(1), "levi_civita(3,o,1,0)(1)");
785 test_for_zero(levi_civita(3, o, 1, 0)(2) - 1, "levi_civita(3,o,1,0)(2)");
786 test_for_zero(levi_civita(3, o, 1, 0)(3), "levi_civita(3,o,1,0)(3)");
787 test_for_zero(levi_civita(3, o, 1, 1)(0), "levi_civita(3,o,1,1)(0)");
788 test_for_zero(levi_civita(3, o, 1, 1)(1), "levi_civita(3,o,1,1)(1)");
789 test_for_zero(levi_civita(3, o, 1, 1)(2), "levi_civita(3,o,1,1)(2)");
790 test_for_zero(levi_civita(3, o, 1, 1)(3), "levi_civita(3,o,1,1)(3)");
791 test_for_zero(levi_civita(3, o, 1, 2)(0) + 1, "levi_civita(3,o,1,2)(0)");
792 test_for_zero(levi_civita(3, o, 1, 2)(1), "levi_civita(3,o,1,2)(1)");
793 test_for_zero(levi_civita(3, o, 1, 2)(2), "levi_civita(3,o,1,2)(2)");
794 test_for_zero(levi_civita(3, o, 1, 2)(3), "levi_civita(3,o,1,2)(3)");
795 test_for_zero(levi_civita(3, o, 1, 3)(0), "levi_civita(3,o,1,3)(0)");
796 test_for_zero(levi_civita(3, o, 1, 3)(1), "levi_civita(3,o,1,3)(1)");
797 test_for_zero(levi_civita(3, o, 1, 3)(2), "levi_civita(3,o,1,3)(2)");
798 test_for_zero(levi_civita(3, o, 1, 3)(3), "levi_civita(3,o,1,3)(3)");
799
800 test_for_zero(levi_civita(3, o, 2, 0)(0), "levi_civita(3,o,2,0)(0)");
801 test_for_zero(levi_civita(3, o, 2, 0)(1) + 1, "levi_civita(3,o,2,0)(1)");
802 test_for_zero(levi_civita(3, o, 2, 0)(2), "levi_civita(3,o,2,0)(2)");
803 test_for_zero(levi_civita(3, o, 2, 0)(3), "levi_civita(3,o,2,0)(3)");
804 test_for_zero(levi_civita(3, o, 2, 1)(0) - 1, "levi_civita(3,o,2,1)(0)");
805 test_for_zero(levi_civita(3, o, 2, 1)(1), "levi_civita(3,o,2,1)(1)");
806 test_for_zero(levi_civita(3, o, 2, 1)(2), "levi_civita(3,o,2,1)(2)");
807 test_for_zero(levi_civita(3, o, 2, 1)(3), "levi_civita(3,o,2,1)(3)");
808 test_for_zero(levi_civita(3, o, 2, 2)(0), "levi_civita(3,o,2,2)(0)");
809 test_for_zero(levi_civita(3, o, 2, 2)(1), "levi_civita(3,o,2,2)(1)");
810 test_for_zero(levi_civita(3, o, 2, 2)(2), "levi_civita(3,o,2,2)(2)");
811 test_for_zero(levi_civita(3, o, 2, 2)(3), "levi_civita(3,o,2,2)(3)");
812 test_for_zero(levi_civita(3, o, 2, 3)(0), "levi_civita(3,o,2,3)(0)");
813 test_for_zero(levi_civita(3, o, 2, 3)(1), "levi_civita(3,o,2,3)(1)");
814 test_for_zero(levi_civita(3, o, 2, 3)(2), "levi_civita(3,o,2,3)(2)");
815 test_for_zero(levi_civita(3, o, 2, 3)(3), "levi_civita(3,o,2,3)(3)");
816
817 test_for_zero(levi_civita(3, o, 3, 0)(0), "levi_civita(3,o,3,0)(0)");
818 test_for_zero(levi_civita(3, o, 3, 0)(1), "levi_civita(3,o,3,0)(1)");
819 test_for_zero(levi_civita(3, o, 3, 0)(2), "levi_civita(3,o,3,0)(2)");
820 test_for_zero(levi_civita(3, o, 3, 0)(3), "levi_civita(3,o,3,0)(3)");
821 test_for_zero(levi_civita(3, o, 3, 1)(0), "levi_civita(3,o,3,1)(0)");
822 test_for_zero(levi_civita(3, o, 3, 1)(1), "levi_civita(3,o,3,1)(1)");
823 test_for_zero(levi_civita(3, o, 3, 1)(2), "levi_civita(3,o,3,1)(2)");
824 test_for_zero(levi_civita(3, o, 3, 1)(3), "levi_civita(3,o,3,1)(3)");
825 test_for_zero(levi_civita(3, o, 3, 2)(0), "levi_civita(3,o,3,2)(0)");
826 test_for_zero(levi_civita(3, o, 3, 2)(1), "levi_civita(3,o,3,2)(1)");
827 test_for_zero(levi_civita(3, o, 3, 2)(2), "levi_civita(3,o,3,2)(2)");
828 test_for_zero(levi_civita(3, o, 3, 2)(3), "levi_civita(3,o,3,2)(3)");
829 test_for_zero(levi_civita(3, o, 3, 3)(0), "levi_civita(3,o,3,3)(0)");
830 test_for_zero(levi_civita(3, o, 3, 3)(1), "levi_civita(3,o,3,3)(1)");
831 test_for_zero(levi_civita(3, o, 3, 3)(2), "levi_civita(3,o,3,3)(2)");
832 test_for_zero(levi_civita(3, o, 3, 3)(3), "levi_civita(3,o,3,3)(3)");
833
834 test_for_zero(levi_civita(o, 0, 0, 0)(0), "levi_civita(o,0,0,0)(0)");
835 test_for_zero(levi_civita(o, 0, 0, 0)(1), "levi_civita(o,0,0,0)(1)");
836 test_for_zero(levi_civita(o, 0, 0, 0)(2), "levi_civita(o,0,0,0)(2)");
837 test_for_zero(levi_civita(o, 0, 0, 0)(3), "levi_civita(o,0,0,0)(3)");
838 test_for_zero(levi_civita(o, 0, 0, 1)(0), "levi_civita(o,0,0,1)(0)");
839 test_for_zero(levi_civita(o, 0, 0, 1)(1), "levi_civita(o,0,0,1)(1)");
840 test_for_zero(levi_civita(o, 0, 0, 1)(2), "levi_civita(o,0,0,1)(2)");
841 test_for_zero(levi_civita(o, 0, 0, 1)(3), "levi_civita(o,0,0,1)(3)");
842 test_for_zero(levi_civita(o, 0, 0, 2)(0), "levi_civita(o,0,0,2)(0)");
843 test_for_zero(levi_civita(o, 0, 0, 2)(1), "levi_civita(o,0,0,2)(1)");
844 test_for_zero(levi_civita(o, 0, 0, 2)(2), "levi_civita(o,0,0,2)(2)");
845 test_for_zero(levi_civita(o, 0, 0, 2)(3), "levi_civita(o,0,0,2)(3)");
846 test_for_zero(levi_civita(o, 0, 0, 3)(0), "levi_civita(o,0,0,3)(0)");
847 test_for_zero(levi_civita(o, 0, 0, 3)(1), "levi_civita(o,0,0,3)(1)");
848 test_for_zero(levi_civita(o, 0, 0, 3)(2), "levi_civita(o,0,0,3)(2)");
849 test_for_zero(levi_civita(o, 0, 0, 3)(3), "levi_civita(o,0,0,3)(3)");
850
851 test_for_zero(levi_civita(o, 0, 1, 0)(0), "levi_civita(o,0,1,0)(0)");
852 test_for_zero(levi_civita(o, 0, 1, 0)(1), "levi_civita(o,0,1,0)(1)");
853 test_for_zero(levi_civita(o, 0, 1, 0)(2), "levi_civita(o,0,1,0)(2)");
854 test_for_zero(levi_civita(o, 0, 1, 0)(3), "levi_civita(o,0,1,0)(3)");
855 test_for_zero(levi_civita(o, 0, 1, 1)(0), "levi_civita(o,0,1,1)(0)");
856 test_for_zero(levi_civita(o, 0, 1, 1)(1), "levi_civita(o,0,1,1)(1)");
857 test_for_zero(levi_civita(o, 0, 1, 1)(2), "levi_civita(o,0,1,1)(2)");
858 test_for_zero(levi_civita(o, 0, 1, 1)(3), "levi_civita(o,0,1,1)(3)");
859 test_for_zero(levi_civita(o, 0, 1, 2)(0), "levi_civita(o,0,1,2)(0)");
860 test_for_zero(levi_civita(o, 0, 1, 2)(1), "levi_civita(o,0,1,2)(1)");
861 test_for_zero(levi_civita(o, 0, 1, 2)(2), "levi_civita(o,0,1,2)(2)");
862 test_for_zero(levi_civita(o, 0, 1, 2)(3) + 1, "levi_civita(o,0,1,2)(3)");
863 test_for_zero(levi_civita(o, 0, 1, 3)(0), "levi_civita(o,0,1,3)(0)");
864 test_for_zero(levi_civita(o, 0, 1, 3)(1), "levi_civita(o,0,1,3)(1)");
865 test_for_zero(levi_civita(o, 0, 1, 3)(2) - 1, "levi_civita(o,0,1,3)(2)");
866 test_for_zero(levi_civita(o, 0, 1, 3)(3), "levi_civita(o,0,1,3)(3)");
867
868 test_for_zero(levi_civita(o, 0, 2, 0)(0), "levi_civita(o,0,2,0)(0)");
869 test_for_zero(levi_civita(o, 0, 2, 0)(1), "levi_civita(o,0,2,0)(1)");
870 test_for_zero(levi_civita(o, 0, 2, 0)(2), "levi_civita(o,0,2,0)(2)");
871 test_for_zero(levi_civita(o, 0, 2, 0)(3), "levi_civita(o,0,2,0)(3)");
872 test_for_zero(levi_civita(o, 0, 2, 1)(0), "levi_civita(o,0,2,1)(0)");
873 test_for_zero(levi_civita(o, 0, 2, 1)(1), "levi_civita(o,0,2,1)(1)");
874 test_for_zero(levi_civita(o, 0, 2, 1)(2), "levi_civita(o,0,2,1)(2)");
875 test_for_zero(levi_civita(o, 0, 2, 1)(3) - 1, "levi_civita(o,0,2,1)(3)");
876 test_for_zero(levi_civita(o, 0, 2, 2)(0), "levi_civita(o,0,2,2)(0)");
877 test_for_zero(levi_civita(o, 0, 2, 2)(1), "levi_civita(o,0,2,2)(1)");
878 test_for_zero(levi_civita(o, 0, 2, 2)(2), "levi_civita(o,0,2,2)(2)");
879 test_for_zero(levi_civita(o, 0, 2, 2)(3), "levi_civita(o,0,2,2)(3)");
880 test_for_zero(levi_civita(o, 0, 2, 3)(0), "levi_civita(o,0,2,3)(0)");
881 test_for_zero(levi_civita(o, 0, 2, 3)(1) + 1, "levi_civita(o,0,2,3)(1)");
882 test_for_zero(levi_civita(o, 0, 2, 3)(2), "levi_civita(o,0,2,3)(2)");
883 test_for_zero(levi_civita(o, 0, 2, 3)(3), "levi_civita(o,0,2,3)(3)");
884
885 test_for_zero(levi_civita(o, 0, 3, 0)(0), "levi_civita(o,0,3,0)(0)");
886 test_for_zero(levi_civita(o, 0, 3, 0)(1), "levi_civita(o,0,3,0)(1)");
887 test_for_zero(levi_civita(o, 0, 3, 0)(2), "levi_civita(o,0,3,0)(2)");
888 test_for_zero(levi_civita(o, 0, 3, 0)(3), "levi_civita(o,0,3,0)(3)");
889 test_for_zero(levi_civita(o, 0, 3, 1)(0), "levi_civita(o,0,3,1)(0)");
890 test_for_zero(levi_civita(o, 0, 3, 1)(1), "levi_civita(o,0,3,1)(1)");
891 test_for_zero(levi_civita(o, 0, 3, 1)(2) + 1, "levi_civita(o,0,3,1)(2)");
892 test_for_zero(levi_civita(o, 0, 3, 1)(3), "levi_civita(o,0,3,1)(3)");
893 test_for_zero(levi_civita(o, 0, 3, 2)(0), "levi_civita(o,0,3,2)(0)");
894 test_for_zero(levi_civita(o, 0, 3, 2)(1) - 1, "levi_civita(o,0,3,2)(1)");
895 test_for_zero(levi_civita(o, 0, 3, 2)(2), "levi_civita(o,0,3,2)(2)");
896 test_for_zero(levi_civita(o, 0, 3, 2)(3), "levi_civita(o,0,3,2)(3)");
897 test_for_zero(levi_civita(o, 0, 3, 3)(0), "levi_civita(o,0,3,3)(0)");
898 test_for_zero(levi_civita(o, 0, 3, 3)(1), "levi_civita(o,0,3,3)(1)");
899 test_for_zero(levi_civita(o, 0, 3, 3)(2), "levi_civita(o,0,3,3)(2)");
900 test_for_zero(levi_civita(o, 0, 3, 3)(3), "levi_civita(o,0,3,3)(3)");
901
902 test_for_zero(levi_civita(o, 1, 0, 0)(0), "levi_civita(o,1,0,0)(0)");
903 test_for_zero(levi_civita(o, 1, 0, 0)(1), "levi_civita(o,1,0,0)(1)");
904 test_for_zero(levi_civita(o, 1, 0, 0)(2), "levi_civita(o,1,0,0)(2)");
905 test_for_zero(levi_civita(o, 1, 0, 0)(3), "levi_civita(o,1,0,0)(3)");
906 test_for_zero(levi_civita(o, 1, 0, 1)(0), "levi_civita(o,1,0,1)(0)");
907 test_for_zero(levi_civita(o, 1, 0, 1)(1), "levi_civita(o,1,0,1)(1)");
908 test_for_zero(levi_civita(o, 1, 0, 1)(2), "levi_civita(o,1,0,1)(2)");
909 test_for_zero(levi_civita(o, 1, 0, 1)(3), "levi_civita(o,1,0,1)(3)");
910 test_for_zero(levi_civita(o, 1, 0, 2)(0), "levi_civita(o,1,0,2)(0)");
911 test_for_zero(levi_civita(o, 1, 0, 2)(1), "levi_civita(o,1,0,2)(1)");
912 test_for_zero(levi_civita(o, 1, 0, 2)(2), "levi_civita(o,1,0,2)(2)");
913 test_for_zero(levi_civita(o, 1, 0, 2)(3) - 1, "levi_civita(o,1,0,2)(3)");
914 test_for_zero(levi_civita(o, 1, 0, 3)(0), "levi_civita(o,1,0,3)(0)");
915 test_for_zero(levi_civita(o, 1, 0, 3)(1), "levi_civita(o,1,0,3)(1)");
916 test_for_zero(levi_civita(o, 1, 0, 3)(2) + 1, "levi_civita(o,1,0,3)(2)");
917 test_for_zero(levi_civita(o, 1, 0, 3)(3), "levi_civita(o,1,0,3)(3)");
918
919 test_for_zero(levi_civita(o, 1, 1, 0)(0), "levi_civita(o,1,1,0)(0)");
920 test_for_zero(levi_civita(o, 1, 1, 0)(1), "levi_civita(o,1,1,0)(1)");
921 test_for_zero(levi_civita(o, 1, 1, 0)(2), "levi_civita(o,1,1,0)(2)");
922 test_for_zero(levi_civita(o, 1, 1, 0)(3), "levi_civita(o,1,1,0)(3)");
923 test_for_zero(levi_civita(o, 1, 1, 1)(0), "levi_civita(o,1,1,1)(0)");
924 test_for_zero(levi_civita(o, 1, 1, 1)(1), "levi_civita(o,1,1,1)(1)");
925 test_for_zero(levi_civita(o, 1, 1, 1)(2), "levi_civita(o,1,1,1)(2)");
926 test_for_zero(levi_civita(o, 1, 1, 1)(3), "levi_civita(o,1,1,1)(3)");
927 test_for_zero(levi_civita(o, 1, 1, 2)(0), "levi_civita(o,1,1,2)(0)");
928 test_for_zero(levi_civita(o, 1, 1, 2)(1), "levi_civita(o,1,1,2)(1)");
929 test_for_zero(levi_civita(o, 1, 1, 2)(2), "levi_civita(o,1,1,2)(2)");
930 test_for_zero(levi_civita(o, 1, 1, 2)(3), "levi_civita(o,1,1,2)(3)");
931 test_for_zero(levi_civita(o, 1, 1, 3)(0), "levi_civita(o,1,1,3)(0)");
932 test_for_zero(levi_civita(o, 1, 1, 3)(1), "levi_civita(o,1,1,3)(1)");
933 test_for_zero(levi_civita(o, 1, 1, 3)(2), "levi_civita(o,1,1,3)(2)");
934 test_for_zero(levi_civita(o, 1, 1, 3)(3), "levi_civita(o,1,1,3)(3)");
935
936 test_for_zero(levi_civita(o, 1, 2, 0)(0), "levi_civita(o,1,2,0)(0)");
937 test_for_zero(levi_civita(o, 1, 2, 0)(1), "levi_civita(o,1,2,0)(1)");
938 test_for_zero(levi_civita(o, 1, 2, 0)(2), "levi_civita(o,1,2,0)(2)");
939 test_for_zero(levi_civita(o, 1, 2, 0)(3) + 1, "levi_civita(o,1,2,0)(3)");
940 test_for_zero(levi_civita(o, 1, 2, 1)(0), "levi_civita(o,1,2,1)(0)");
941 test_for_zero(levi_civita(o, 1, 2, 1)(1), "levi_civita(o,1,2,1)(1)");
942 test_for_zero(levi_civita(o, 1, 2, 1)(2), "levi_civita(o,1,2,1)(2)");
943 test_for_zero(levi_civita(o, 1, 2, 1)(3), "levi_civita(o,1,2,1)(3)");
944 test_for_zero(levi_civita(o, 1, 2, 2)(0), "levi_civita(o,1,2,2)(0)");
945 test_for_zero(levi_civita(o, 1, 2, 2)(1), "levi_civita(o,1,2,2)(1)");
946 test_for_zero(levi_civita(o, 1, 2, 2)(2), "levi_civita(o,1,2,2)(2)");
947 test_for_zero(levi_civita(o, 1, 2, 2)(3), "levi_civita(o,1,2,2)(3)");
948 test_for_zero(levi_civita(o, 1, 2, 3)(0) - 1, "levi_civita(o,1,2,3)(0)");
949 test_for_zero(levi_civita(o, 1, 2, 3)(1), "levi_civita(o,1,2,3)(1)");
950 test_for_zero(levi_civita(o, 1, 2, 3)(2), "levi_civita(o,1,2,3)(2)");
951 test_for_zero(levi_civita(o, 1, 2, 3)(3), "levi_civita(o,1,2,3)(3)");
952
953 test_for_zero(levi_civita(o, 1, 3, 0)(0), "levi_civita(o,1,3,0)(0)");
954 test_for_zero(levi_civita(o, 1, 3, 0)(1), "levi_civita(o,1,3,0)(1)");
955 test_for_zero(levi_civita(o, 1, 3, 0)(2) - 1, "levi_civita(o,1,3,0)(2)");
956 test_for_zero(levi_civita(o, 1, 3, 0)(3), "levi_civita(o,1,3,0)(3)");
957 test_for_zero(levi_civita(o, 1, 3, 1)(0), "levi_civita(o,1,3,1)(0)");
958 test_for_zero(levi_civita(o, 1, 3, 1)(1), "levi_civita(o,1,3,1)(1)");
959 test_for_zero(levi_civita(o, 1, 3, 1)(2), "levi_civita(o,1,3,1)(2)");
960 test_for_zero(levi_civita(o, 1, 3, 1)(3), "levi_civita(o,1,3,1)(3)");
961 test_for_zero(levi_civita(o, 1, 3, 2)(0) + 1, "levi_civita(o,1,3,2)(0)");
962 test_for_zero(levi_civita(o, 1, 3, 2)(1), "levi_civita(o,1,3,2)(1)");
963 test_for_zero(levi_civita(o, 1, 3, 2)(2), "levi_civita(o,1,3,2)(2)");
964 test_for_zero(levi_civita(o, 1, 3, 2)(3), "levi_civita(o,1,3,2)(3)");
965 test_for_zero(levi_civita(o, 1, 3, 3)(0), "levi_civita(o,1,3,3)(0)");
966 test_for_zero(levi_civita(o, 1, 3, 3)(1), "levi_civita(o,1,3,3)(1)");
967 test_for_zero(levi_civita(o, 1, 3, 3)(2), "levi_civita(o,1,3,3)(2)");
968 test_for_zero(levi_civita(o, 1, 3, 3)(3), "levi_civita(o,1,3,3)(3)");
969
970 test_for_zero(levi_civita(o, 2, 0, 0)(0), "levi_civita(o,2,0,0)(0)");
971 test_for_zero(levi_civita(o, 2, 0, 0)(1), "levi_civita(o,2,0,0)(1)");
972 test_for_zero(levi_civita(o, 2, 0, 0)(2), "levi_civita(o,2,0,0)(2)");
973 test_for_zero(levi_civita(o, 2, 0, 0)(3), "levi_civita(o,2,0,0)(3)");
974 test_for_zero(levi_civita(o, 2, 0, 1)(0), "levi_civita(o,2,0,1)(0)");
975 test_for_zero(levi_civita(o, 2, 0, 1)(1), "levi_civita(o,2,0,1)(1)");
976 test_for_zero(levi_civita(o, 2, 0, 1)(2), "levi_civita(o,2,0,1)(2)");
977 test_for_zero(levi_civita(o, 2, 0, 1)(3) + 1, "levi_civita(o,2,0,1)(3)");
978 test_for_zero(levi_civita(o, 2, 0, 2)(0), "levi_civita(o,2,0,2)(0)");
979 test_for_zero(levi_civita(o, 2, 0, 2)(1), "levi_civita(o,2,0,2)(1)");
980 test_for_zero(levi_civita(o, 2, 0, 2)(2), "levi_civita(o,2,0,2)(2)");
981 test_for_zero(levi_civita(o, 2, 0, 2)(3), "levi_civita(o,2,0,2)(3)");
982 test_for_zero(levi_civita(o, 2, 0, 3)(0), "levi_civita(o,2,0,3)(0)");
983 test_for_zero(levi_civita(o, 2, 0, 3)(1) - 1, "levi_civita(o,2,0,3)(1)");
984 test_for_zero(levi_civita(o, 2, 0, 3)(2), "levi_civita(o,2,0,3)(2)");
985 test_for_zero(levi_civita(o, 2, 0, 3)(3), "levi_civita(o,2,0,3)(3)");
986
987 test_for_zero(levi_civita(o, 2, 1, 0)(0), "levi_civita(o,2,1,0)(0)");
988 test_for_zero(levi_civita(o, 2, 1, 0)(1), "levi_civita(o,2,1,0)(1)");
989 test_for_zero(levi_civita(o, 2, 1, 0)(2), "levi_civita(o,2,1,0)(2)");
990 test_for_zero(levi_civita(o, 2, 1, 0)(3) - 1, "levi_civita(o,2,1,0)(3)");
991 test_for_zero(levi_civita(o, 2, 1, 1)(0), "levi_civita(o,2,1,1)(0)");
992 test_for_zero(levi_civita(o, 2, 1, 1)(1), "levi_civita(o,2,1,1)(1)");
993 test_for_zero(levi_civita(o, 2, 1, 1)(2), "levi_civita(o,2,1,1)(2)");
994 test_for_zero(levi_civita(o, 2, 1, 1)(3), "levi_civita(o,2,1,1)(3)");
995 test_for_zero(levi_civita(o, 2, 1, 2)(0), "levi_civita(o,2,1,2)(0)");
996 test_for_zero(levi_civita(o, 2, 1, 2)(1), "levi_civita(o,2,1,2)(1)");
997 test_for_zero(levi_civita(o, 2, 1, 2)(2), "levi_civita(o,2,1,2)(2)");
998 test_for_zero(levi_civita(o, 2, 1, 2)(3), "levi_civita(o,2,1,2)(3)");
999 test_for_zero(levi_civita(o, 2, 1, 3)(0) + 1, "levi_civita(o,2,1,3)(0)");
1000 test_for_zero(levi_civita(o, 2, 1, 3)(1), "levi_civita(o,2,1,3)(1)");
1001 test_for_zero(levi_civita(o, 2, 1, 3)(2), "levi_civita(o,2,1,3)(2)");
1002 test_for_zero(levi_civita(o, 2, 1, 3)(3), "levi_civita(o,2,1,3)(3)");
1003
1004 test_for_zero(levi_civita(o, 2, 2, 0)(0), "levi_civita(o,2,2,0)(0)");
1005 test_for_zero(levi_civita(o, 2, 2, 0)(1), "levi_civita(o,2,2,0)(1)");
1006 test_for_zero(levi_civita(o, 2, 2, 0)(2), "levi_civita(o,2,2,0)(2)");
1007 test_for_zero(levi_civita(o, 2, 2, 0)(3), "levi_civita(o,2,2,0)(3)");
1008 test_for_zero(levi_civita(o, 2, 2, 1)(0), "levi_civita(o,2,2,1)(0)");
1009 test_for_zero(levi_civita(o, 2, 2, 1)(1), "levi_civita(o,2,2,1)(1)");
1010 test_for_zero(levi_civita(o, 2, 2, 1)(2), "levi_civita(o,2,2,1)(2)");
1011 test_for_zero(levi_civita(o, 2, 2, 1)(3), "levi_civita(o,2,2,1)(3)");
1012 test_for_zero(levi_civita(o, 2, 2, 2)(0), "levi_civita(o,2,2,2)(0)");
1013 test_for_zero(levi_civita(o, 2, 2, 2)(1), "levi_civita(o,2,2,2)(1)");
1014 test_for_zero(levi_civita(o, 2, 2, 2)(2), "levi_civita(o,2,2,2)(2)");
1015 test_for_zero(levi_civita(o, 2, 2, 2)(3), "levi_civita(o,2,2,2)(3)");
1016 test_for_zero(levi_civita(o, 2, 2, 3)(0), "levi_civita(o,2,2,3)(0)");
1017 test_for_zero(levi_civita(o, 2, 2, 3)(1), "levi_civita(o,2,2,3)(1)");
1018 test_for_zero(levi_civita(o, 2, 2, 3)(2), "levi_civita(o,2,2,3)(2)");
1019 test_for_zero(levi_civita(o, 2, 2, 3)(3), "levi_civita(o,2,2,3)(3)");
1020
1021 test_for_zero(levi_civita(o, 2, 3, 0)(0), "levi_civita(o,2,3,0)(0)");
1022 test_for_zero(levi_civita(o, 2, 3, 0)(1) + 1, "levi_civita(o,2,3,0)(1)");
1023 test_for_zero(levi_civita(o, 2, 3, 0)(2), "levi_civita(o,2,3,0)(2)");
1024 test_for_zero(levi_civita(o, 2, 3, 0)(3), "levi_civita(o,2,3,0)(3)");
1025 test_for_zero(levi_civita(o, 2, 3, 1)(0) - 1, "levi_civita(o,2,3,1)(0)");
1026 test_for_zero(levi_civita(o, 2, 3, 1)(1), "levi_civita(o,2,3,1)(1)");
1027 test_for_zero(levi_civita(o, 2, 3, 1)(2), "levi_civita(o,2,3,1)(2)");
1028 test_for_zero(levi_civita(o, 2, 3, 1)(3), "levi_civita(o,2,3,1)(3)");
1029 test_for_zero(levi_civita(o, 2, 3, 2)(0), "levi_civita(o,2,3,2)(0)");
1030 test_for_zero(levi_civita(o, 2, 3, 2)(1), "levi_civita(o,2,3,2)(1)");
1031 test_for_zero(levi_civita(o, 2, 3, 2)(2), "levi_civita(o,2,3,2)(2)");
1032 test_for_zero(levi_civita(o, 2, 3, 2)(3), "levi_civita(o,2,3,2)(3)");
1033 test_for_zero(levi_civita(o, 2, 3, 3)(0), "levi_civita(o,2,3,3)(0)");
1034 test_for_zero(levi_civita(o, 2, 3, 3)(1), "levi_civita(o,2,3,3)(1)");
1035 test_for_zero(levi_civita(o, 2, 3, 3)(2), "levi_civita(o,2,3,3)(2)");
1036 test_for_zero(levi_civita(o, 2, 3, 3)(3), "levi_civita(o,2,3,3)(3)");
1037
1038 test_for_zero(levi_civita(o, 3, 0, 0)(0), "levi_civita(o,3,0,0)(0)");
1039 test_for_zero(levi_civita(o, 3, 0, 0)(1), "levi_civita(o,3,0,0)(1)");
1040 test_for_zero(levi_civita(o, 3, 0, 0)(2), "levi_civita(o,3,0,0)(2)");
1041 test_for_zero(levi_civita(o, 3, 0, 0)(3), "levi_civita(o,3,0,0)(3)");
1042 test_for_zero(levi_civita(o, 3, 0, 1)(0), "levi_civita(o,3,0,1)(0)");
1043 test_for_zero(levi_civita(o, 3, 0, 1)(1), "levi_civita(o,3,0,1)(1)");
1044 test_for_zero(levi_civita(o, 3, 0, 1)(2) - 1, "levi_civita(o,3,0,1)(2)");
1045 test_for_zero(levi_civita(o, 3, 0, 1)(3), "levi_civita(o,3,0,1)(3)");
1046 test_for_zero(levi_civita(o, 3, 0, 2)(0), "levi_civita(o,3,0,2)(0)");
1047 test_for_zero(levi_civita(o, 3, 0, 2)(1) + 1, "levi_civita(o,3,0,2)(1)");
1048 test_for_zero(levi_civita(o, 3, 0, 2)(2), "levi_civita(o,3,0,2)(2)");
1049 test_for_zero(levi_civita(o, 3, 0, 2)(3), "levi_civita(o,3,0,2)(3)");
1050 test_for_zero(levi_civita(o, 3, 0, 3)(0), "levi_civita(o,3,0,3)(0)");
1051 test_for_zero(levi_civita(o, 3, 0, 3)(1), "levi_civita(o,3,0,3)(1)");
1052 test_for_zero(levi_civita(o, 3, 0, 3)(2), "levi_civita(o,3,0,3)(2)");
1053 test_for_zero(levi_civita(o, 3, 0, 3)(3), "levi_civita(o,3,0,3)(3)");
1054
1055 test_for_zero(levi_civita(o, 3, 1, 0)(0), "levi_civita(o,3,1,0)(0)");
1056 test_for_zero(levi_civita(o, 3, 1, 0)(1), "levi_civita(o,3,1,0)(1)");
1057 test_for_zero(levi_civita(o, 3, 1, 0)(2) + 1, "levi_civita(o,3,1,0)(2)");
1058 test_for_zero(levi_civita(o, 3, 1, 0)(3), "levi_civita(o,3,1,0)(3)");
1059 test_for_zero(levi_civita(o, 3, 1, 1)(0), "levi_civita(o,3,1,1)(0)");
1060 test_for_zero(levi_civita(o, 3, 1, 1)(1), "levi_civita(o,3,1,1)(1)");
1061 test_for_zero(levi_civita(o, 3, 1, 1)(2), "levi_civita(o,3,1,1)(2)");
1062 test_for_zero(levi_civita(o, 3, 1, 1)(3), "levi_civita(o,3,1,1)(3)");
1063 test_for_zero(levi_civita(o, 3, 1, 2)(0) - 1, "levi_civita(o,3,1,2)(0)");
1064 test_for_zero(levi_civita(o, 3, 1, 2)(1), "levi_civita(o,3,1,2)(1)");
1065 test_for_zero(levi_civita(o, 3, 1, 2)(2), "levi_civita(o,3,1,2)(2)");
1066 test_for_zero(levi_civita(o, 3, 1, 2)(3), "levi_civita(o,3,1,2)(3)");
1067 test_for_zero(levi_civita(o, 3, 1, 3)(0), "levi_civita(o,3,1,3)(0)");
1068 test_for_zero(levi_civita(o, 3, 1, 3)(1), "levi_civita(o,3,1,3)(1)");
1069 test_for_zero(levi_civita(o, 3, 1, 3)(2), "levi_civita(o,3,1,3)(2)");
1070 test_for_zero(levi_civita(o, 3, 1, 3)(3), "levi_civita(o,3,1,3)(3)");
1071
1072 test_for_zero(levi_civita(o, 3, 2, 0)(0), "levi_civita(o,3,2,0)(0)");
1073 test_for_zero(levi_civita(o, 3, 2, 0)(1) - 1, "levi_civita(o,3,2,0)(1)");
1074 test_for_zero(levi_civita(o, 3, 2, 0)(2), "levi_civita(o,3,2,0)(2)");
1075 test_for_zero(levi_civita(o, 3, 2, 0)(3), "levi_civita(o,3,2,0)(3)");
1076 test_for_zero(levi_civita(o, 3, 2, 1)(0) + 1, "levi_civita(o,3,2,1)(0)");
1077 test_for_zero(levi_civita(o, 3, 2, 1)(1), "levi_civita(o,3,2,1)(1)");
1078 test_for_zero(levi_civita(o, 3, 2, 1)(2), "levi_civita(o,3,2,1)(2)");
1079 test_for_zero(levi_civita(o, 3, 2, 1)(3), "levi_civita(o,3,2,1)(3)");
1080 test_for_zero(levi_civita(o, 3, 2, 2)(0), "levi_civita(o,3,2,2)(0)");
1081 test_for_zero(levi_civita(o, 3, 2, 2)(1), "levi_civita(o,3,2,2)(1)");
1082 test_for_zero(levi_civita(o, 3, 2, 2)(2), "levi_civita(o,3,2,2)(2)");
1083 test_for_zero(levi_civita(o, 3, 2, 2)(3), "levi_civita(o,3,2,2)(3)");
1084 test_for_zero(levi_civita(o, 3, 2, 3)(0), "levi_civita(o,3,2,3)(0)");
1085 test_for_zero(levi_civita(o, 3, 2, 3)(1), "levi_civita(o,3,2,3)(1)");
1086 test_for_zero(levi_civita(o, 3, 2, 3)(2), "levi_civita(o,3,2,3)(2)");
1087 test_for_zero(levi_civita(o, 3, 2, 3)(3), "levi_civita(o,3,2,3)(3)");
1088
1089 test_for_zero(levi_civita(o, 3, 3, 0)(0), "levi_civita(o,3,3,0)(0)");
1090 test_for_zero(levi_civita(o, 3, 3, 0)(1), "levi_civita(o,3,3,0)(1)");
1091 test_for_zero(levi_civita(o, 3, 3, 0)(2), "levi_civita(o,3,3,0)(2)");
1092 test_for_zero(levi_civita(o, 3, 3, 0)(3), "levi_civita(o,3,3,0)(3)");
1093 test_for_zero(levi_civita(o, 3, 3, 1)(0), "levi_civita(o,3,3,1)(0)");
1094 test_for_zero(levi_civita(o, 3, 3, 1)(1), "levi_civita(o,3,3,1)(1)");
1095 test_for_zero(levi_civita(o, 3, 3, 1)(2), "levi_civita(o,3,3,1)(2)");
1096 test_for_zero(levi_civita(o, 3, 3, 1)(3), "levi_civita(o,3,3,1)(3)");
1097 test_for_zero(levi_civita(o, 3, 3, 2)(0), "levi_civita(o,3,3,2)(0)");
1098 test_for_zero(levi_civita(o, 3, 3, 2)(1), "levi_civita(o,3,3,2)(1)");
1099 test_for_zero(levi_civita(o, 3, 3, 2)(2), "levi_civita(o,3,3,2)(2)");
1100 test_for_zero(levi_civita(o, 3, 3, 2)(3), "levi_civita(o,3,3,2)(3)");
1101 test_for_zero(levi_civita(o, 3, 3, 3)(0), "levi_civita(o,3,3,3)(0)");
1102 test_for_zero(levi_civita(o, 3, 3, 3)(1), "levi_civita(o,3,3,3)(1)");
1103 test_for_zero(levi_civita(o, 3, 3, 3)(2), "levi_civita(o,3,3,3)(2)");
1104 test_for_zero(levi_civita(o, 3, 3, 3)(3), "levi_civita(o,3,3,3)(3)");
1105}
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