v0.14.0
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test_Levi_Civita_03.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_03 ()
 

Function Documentation

◆ 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}
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
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
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