1
2
3================  Nedelec edge hexahedron, first family, order 1 (NE1_1) ======================
4reference element hexahedron_Nedelec_Cube_Edge_first family_1
5- finite element interpolation : first family Nedelec of order 1 conforming in Hcurl
6- geometric reference element : shape hexahedron, 8 vertices, 6 sides, 12 sideOfSides
7  * vertex 1 -> (1 ,0 ,0)
8  * vertex 2 -> (1 ,1 ,0)
9  * vertex 3 -> (0 ,1 ,0)
10  * vertex 4 -> (0 ,0 ,0)
11  * vertex 5 -> (1 ,0 ,1)
12  * vertex 6 -> (1 ,1 ,1)
13  * vertex 7 -> (0 ,1 ,1)
14  * vertex 8 -> (0 ,0 ,1)
15  * centroid : (0.5 ,0.5 ,0.5)
16  * measure : 1
17  * side 1 -> shape quadrangle, vertices : 2 6 5 1
18  * side 2 -> shape quadrangle, vertices : 7 6 2 3
19  * side 3 -> shape quadrangle, vertices : 5 6 7 8
20  * side 4 -> shape quadrangle, vertices : 3 4 8 7
21  * side 5 -> shape quadrangle, vertices : 8 4 1 5
22  * side 6 -> shape quadrangle, vertices : 1 4 3 2
23  * side of side 1 -> [ 2 6  ]
24  * side of side 2 -> [ 7 6  ]
25  * side of side 3 -> [ 5 6  ]
26  * side of side 4 -> [ 8 4  ]
27  * side of side 5 -> [ 1 4  ]
28  * side of side 6 -> [ 3 4  ]
29  * side of side 7 -> [ 1 5  ]
30  * side of side 8 -> [ 2 3  ]
31  * side of side 9 -> [ 7 8  ]
32  * side of side 10 -> [ 3 7  ]
33  * side of side 11 -> [ 5 8  ]
34  * side of side 12 -> [ 1 2  ]
35  * numbers on side1 -> [ 1 -3 -7 12  ]
36  * numbers on side2 -> [ 2 -1 8 10  ]
37  * numbers on side3 -> [ 3 -2 9 -11  ]
38  * numbers on side4 -> [ 6 -4 -9 -10  ]
39  * numbers on side5 -> [ 4 -5 7 11  ]
40  * numbers on side6 -> [ 5 -6 -8 -12  ]
41
42- reference DoFs : 12
43  * 1 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 1, index 1, virtual coords = [ 1 1 0.5  ], tangential projection
44  * 2 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 2, index 1, virtual coords = [ 0.5 1 1  ], tangential projection
45  * 3 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 3, index 1, virtual coords = [ 1 0.5 1  ], tangential projection
46  * 4 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 4, index 1, virtual coords = [ 0 0 0.5  ], tangential projection
47  * 5 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 5, index 1, virtual coords = [ 0.5 0 0  ], tangential projection
48  * 6 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 6, index 1, virtual coords = [ 0 0.5 0  ], tangential projection
49  * 7 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 7, index 1, virtual coords = [ 1 0 0.5  ], tangential projection
50  * 8 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 8, index 1, virtual coords = [ 0.5 1 0  ], tangential projection
51  * 9 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 9, index 1, virtual coords = [ 0 0.5 1  ], tangential projection
52  * 10 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 10, index 1, virtual coords = [ 0 1 0.5  ], tangential projection
53  * 11 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 11, index 1, virtual coords = [ 0.5 0 1  ], tangential projection
54  * 12 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 12, index 1, virtual coords = [ 1 0.5 0  ], tangential projection
55shape functions :Polynomials basis NCE1_1 in dimension 3, vector size = 3, size 12, max degree = 2 :
56p0 : [ 0 , 0 , x.y ]
57p1 : [ y.z , 0 , 0 ]
58p2 : [ 0 , x.z , 0 ]
59p3 : [ 0 , 0 , -1+y+x-x.y ]
60p4 : [ -1+z+y-y.z , 0 , 0 ]
61p5 : [ 0 , -1+z+x-x.z , 0 ]
62p6 : [ 0 , 0 , x-x.y ]
63p7 : [ -y+y.z , 0 , 0 ]
64p8 : [ 0 , -z+x.z , 0 ]
65p9 : [ 0 , 0 , y-x.y ]
66p10 : [ -z+y.z , 0 , 0 ]
67p11 : [ 0 , x-x.z , 0 ]
68
69- Dof numbers on side of sides (RefElement hexahedron_Nedelec_Cube_Edge_first family_1)
70 . side of side 1 ->  1
71 . side of side 2 ->  2
72 . side of side 3 ->  3
73 . side of side 4 ->  4
74 . side of side 5 ->  5
75 . side of side 6 ->  6
76 . side of side 7 ->  7
77 . side of side 8 ->  8
78 . side of side 9 ->  9
79 . side of side 10 ->  10
80 . side of side 11 ->  11
81 . side of side 12 ->  12
82- Dof numbers on sides (RefElement hexahedron_Nedelec_Cube_Edge_first family_1)
83 . side 1 -> 1 3 7 12
84 . side 2 -> 2 1 8 10
85 . side 3 -> 3 2 9 11
86 . side 4 -> 6 4 9 10
87 . side 5 -> 4 5 7 11
88 . side 6 -> 5 6 8 12
89
90   unit_NedelecEdgeHexahedron (hexahedron_Nedelec_Cube_Edge_first family_1) at point (  5.00000000000e-01  5.00000000000e-01  5.00000000000e-01 )
91     w :
92 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
93     ... 0.00000000000e+00-2.50000000000e-01-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
94     ... 2.50000000000e-01-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 ...
95     ...-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 0.00000000000e+00
96   d1w :
97 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
98     ... 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
99     ... 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-5.00000000000e-01 ...
100     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00
101   d2w :
102 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
103     ... 0.00000000000e+00 5.00000000000e-01 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
104     ...-5.00000000000e-01-5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 ...
105     ... 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00
106   d3w :
107 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
108     ... 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
109     ... 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
110     ...-5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-5.00000000000e-01 0.00000000000e+00
111
112================  Nedelec edge hexahedron, first family, order 2 (NE1_2) ======================
113reference element hexahedron_Nedelec_Cube_Edge_first family_2
114- finite element interpolation : first family Nedelec of order 2 conforming in Hcurl
115- geometric reference element : shape hexahedron, 8 vertices, 6 sides, 12 sideOfSides
116  * vertex 1 -> (1 ,0 ,0)
117  * vertex 2 -> (1 ,1 ,0)
118  * vertex 3 -> (0 ,1 ,0)
119  * vertex 4 -> (0 ,0 ,0)
120  * vertex 5 -> (1 ,0 ,1)
121  * vertex 6 -> (1 ,1 ,1)
122  * vertex 7 -> (0 ,1 ,1)
123  * vertex 8 -> (0 ,0 ,1)
124  * centroid : (0.5 ,0.5 ,0.5)
125  * measure : 1
126  * side 1 -> shape quadrangle, vertices : 2 6 5 1
127  * side 2 -> shape quadrangle, vertices : 7 6 2 3
128  * side 3 -> shape quadrangle, vertices : 5 6 7 8
129  * side 4 -> shape quadrangle, vertices : 3 4 8 7
130  * side 5 -> shape quadrangle, vertices : 8 4 1 5
131  * side 6 -> shape quadrangle, vertices : 1 4 3 2
132  * side of side 1 -> [ 2 6  ]
133  * side of side 2 -> [ 7 6  ]
134  * side of side 3 -> [ 5 6  ]
135  * side of side 4 -> [ 8 4  ]
136  * side of side 5 -> [ 1 4  ]
137  * side of side 6 -> [ 3 4  ]
138  * side of side 7 -> [ 1 5  ]
139  * side of side 8 -> [ 2 3  ]
140  * side of side 9 -> [ 7 8  ]
141  * side of side 10 -> [ 3 7  ]
142  * side of side 11 -> [ 5 8  ]
143  * side of side 12 -> [ 1 2  ]
144  * numbers on side1 -> [ 1 -3 -7 12  ]
145  * numbers on side2 -> [ 2 -1 8 10  ]
146  * numbers on side3 -> [ 3 -2 9 -11  ]
147  * numbers on side4 -> [ 6 -4 -9 -10  ]
148  * numbers on side5 -> [ 4 -5 7 11  ]
149  * numbers on side6 -> [ 5 -6 -8 -12  ]
150
151- reference DoFs : 54
152  * 1 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 1, index 1, virtual coords = [ 1 1 0.33333  ], tangential projection
153  * 2 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 1, index 2, virtual coords = [ 1 1 0.66667  ], tangential projection
154  * 3 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 2, index 1, virtual coords = [ 0.33333 1 1  ], tangential projection
155  * 4 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 2, index 2, virtual coords = [ 0.66667 1 1  ], tangential projection
156  * 5 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 3, index 1, virtual coords = [ 1 0.33333 1  ], tangential projection
157  * 6 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 3, index 2, virtual coords = [ 1 0.66667 1  ], tangential projection
158  * 7 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 4, index 1, virtual coords = [ 0 0 0.66667  ], tangential projection
159  * 8 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 4, index 2, virtual coords = [ 0 0 0.33333  ], tangential projection
160  * 9 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 5, index 1, virtual coords = [ 0.66667 0 0  ], tangential projection
161  * 10 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 5, index 2, virtual coords = [ 0.33333 0 0  ], tangential projection
162  * 11 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 6, index 1, virtual coords = [ 0 0.66667 0  ], tangential projection
163  * 12 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 6, index 2, virtual coords = [ 0 0.33333 0  ], tangential projection
164  * 13 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 7, index 1, virtual coords = [ 1 0 0.33333  ], tangential projection
165  * 14 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 7, index 2, virtual coords = [ 1 0 0.66667  ], tangential projection
166  * 15 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 8, index 1, virtual coords = [ 0.66667 1 0  ], tangential projection
167  * 16 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 8, index 2, virtual coords = [ 0.33333 1 0  ], tangential projection
168  * 17 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 9, index 1, virtual coords = [ 0 0.66667 1  ], tangential projection
169  * 18 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 9, index 2, virtual coords = [ 0 0.33333 1  ], tangential projection
170  * 19 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 10, index 1, virtual coords = [ 0 1 0.33333  ], tangential projection
171  * 20 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 10, index 2, virtual coords = [ 0 1 0.66667  ], tangential projection
172  * 21 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 11, index 1, virtual coords = [ 0.66667 0 1  ], tangential projection
173  * 22 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 11, index 2, virtual coords = [ 0.33333 0 1  ], tangential projection
174  * 23 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 12, index 1, virtual coords = [ 1 0.33333 0  ], tangential projection
175  * 24 -> reference DoF : int_e u.t q, sharable? yes, support : dim 1, on edge 12, index 2, virtual coords = [ 1 0.66667 0  ], tangential projection
176  * 25 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 1, index 1, virtual coords = [ 1 0.5 0.66667  ]
177  * 26 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 1, index 2, virtual coords = [ 1 0.5 0.33333  ]
178  * 27 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 1, index 3, virtual coords = [ 1 0.33333 0.5  ]
179  * 28 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 1, index 4, virtual coords = [ 1 0.66667 0.5  ]
180  * 29 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 2, index 1, virtual coords = [ 0.66667 1 0.5  ]
181  * 30 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 2, index 2, virtual coords = [ 0.33333 1 0.5  ]
182  * 31 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 2, index 3, virtual coords = [ 0.5 1 0.33333  ]
183  * 32 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 2, index 4, virtual coords = [ 0.5 1 0.66667  ]
184  * 33 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 3, index 1, virtual coords = [ 0.5 0.66667 1  ]
185  * 34 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 3, index 2, virtual coords = [ 0.5 0.33333 1  ]
186  * 35 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 3, index 3, virtual coords = [ 0.33333 0.5 1  ]
187  * 36 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 3, index 4, virtual coords = [ 0.66667 0.5 1  ]
188  * 37 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 4, index 1, virtual coords = [ 0 0.33333 0.5  ]
189  * 38 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 4, index 2, virtual coords = [ 0 0.66667 0.5  ]
190  * 39 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 4, index 3, virtual coords = [ 0 0.5 0.66667  ]
191  * 40 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 4, index 4, virtual coords = [ 0 0.5 0.33333  ]
192  * 41 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 5, index 1, virtual coords = [ 0.5 0 0.33333  ]
193  * 42 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 5, index 2, virtual coords = [ 0.5 0 0.66667  ]
194  * 43 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 5, index 3, virtual coords = [ 0.66667 0 0.5  ]
195  * 44 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 5, index 4, virtual coords = [ 0.33333 0 0.5  ]
196  * 45 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 6, index 1, virtual coords = [ 0.33333 0.5 0  ]
197  * 46 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 6, index 2, virtual coords = [ 0.66667 0.5 0  ]
198  * 47 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 6, index 3, virtual coords = [ 0.5 0.66667 0  ]
199  * 48 -> reference DoF : int_f (u x n).q, sharable? yes, support : dim 2, on face 6, index 4, virtual coords = [ 0.5 0.33333 0  ]
200  * 49 -> reference DoF : int_k u.q, sharable? no, support : dim 3, on element 0, index 1, virtual coords = [ 0.66667 0.5 0.5  ]
201  * 50 -> reference DoF : int_k u.q, sharable? no, support : dim 3, on element 0, index 2, virtual coords = [ 0.33333 0.5 0.5  ]
202  * 51 -> reference DoF : int_k u.q, sharable? no, support : dim 3, on element 0, index 3, virtual coords = [ 0.5 0.66667 0.5  ]
203  * 52 -> reference DoF : int_k u.q, sharable? no, support : dim 3, on element 0, index 4, virtual coords = [ 0.5 0.33333 0.5  ]
204  * 53 -> reference DoF : int_k u.q, sharable? no, support : dim 3, on element 0, index 5, virtual coords = [ 0.5 0.5 0.66667  ]
205  * 54 -> reference DoF : int_k u.q, sharable? no, support : dim 3, on element 0, index 6, virtual coords = [ 0.5 0.5 0.33333  ]
206shape functions :Polynomials basis NCE1_2 in dimension 3, vector size = 3, size 54, max degree = 5 :
207p0 : [ 0 , 0 , 1.75-2.625z-9y+15.75y.z+8.25y^2-15.75y^2.z-4.12479e+14x+8.24958e+14x.z+3.15208e+15x.y-6.30415e+15x.y.z-2.7396e+15x.y^2+5.4792e+15x.y^2.z+4.12479e+14x^2-8.24958e+14x^2.z-3.90316e+15x^2.y+7.80632e+15x^2.y.z+3.49068e+15x^2.y^2-6.98136e+15x^2.y^2.z ]
208p1 : [ 0 , 0 , 1.25-1.875z-6.5y+10.5y.z+6y^2-10.125y^2.z-4.12479e+14x+8.24958e+14x.z+3.15208e+15x.y-6.30415e+15x.y.z-2.7396e+15x.y^2+5.4792e+15x.y^2.z+4.12479e+14x^2-8.24958e+14x^2.z-3.90316e+15x^2.y+7.80632e+15x^2.y.z+3.49068e+15x^2.y^2-6.98136e+15x^2.y^2.z ]
209p2 : [ 0.25-4.70965e+14z+4.70965e+14z^2-0.828125y+1.156e+15y.z-7.92077e+14y.z^2+0.5625y^2-6.8504e+14y^2.z+3.21112e+14y^2.z^2+9.41929e+14x.z-9.41929e+14x.z^2-2.31201e+15x.y.z+1.58415e+15x.y.z^2+1.37008e+15x.y^2.z-6.42225e+14x.y^2.z^2 , 0 , 0 ]
210p3 : [ 0.015625-4.70965e+14z+4.70965e+14z^2-0.6875y+1.156e+15y.z-7.92077e+14y.z^2+0.75y^2-6.8504e+14y^2.z+3.21112e+14y^2.z^2+9.41929e+14x.z-9.41929e+14x.z^2-2.31201e+15x.y.z+1.58415e+15x.y.z^2+1.37008e+15x.y^2.z-6.42225e+14x.y^2.z^2 , 0 , 0 ]
211p4 : [ 0 , 108-502z+456z^2-216y+960y.z-864y.z^2+92x-5.11376e+16x.z+7.63191e+16x.z^2-235.484x.y+1.02275e+17x.y.z-1.52638e+17x.y.z^2-72x^2+5.15251e+16x^2.z-7.67065e+16x^2.z^2+228.774x^2.y-1.0305e+17x^2.y.z+1.53413e+17x^2.y.z^2 , 0 ]
212p5 : [ 0 , 68-322z+312z^2-120y+576y.z-576y.z^2+72x-5.11376e+16x.z+7.63191e+16x.z^2-235.484x.y+1.02275e+17x.y.z-1.52638e+17x.y.z^2-72x^2+5.15251e+16x^2.z-7.67065e+16x^2.z^2+228.774x^2.y-1.0305e+17x^2.y.z+1.53413e+17x^2.y.z^2 , 0 ]
213p6 : [ 0 , 0 , 1.34375-5.01563z-2.6875y+11.5312y.z-2.25y^2.z+5.54076e+13x-1.10815e+14x.z+3.87853e+15x.y-7.75707e+15x.y.z-3.93394e+15x.y^2+7.86788e+15x.y^2.z-5.54076e+13x^2+1.10815e+14x^2.z-5.92861e+15x^2.y+1.18572e+16x^2.y.z+5.98402e+15x^2.y^2-1.1968e+16x^2.y^2.z ]
214p7 : [ 0 , 0 , -7.65625+11.4844z+33.8125y-57.4687y.z-27.75y^2+51.75y^2.z+5.54076e+13x-1.10815e+14x.z+3.87853e+15x.y-7.75707e+15x.y.z-3.93394e+15x.y^2+7.86788e+15x.y^2.z-5.54076e+13x^2+1.10815e+14x^2.z-5.92861e+15x^2.y+1.18572e+16x^2.y.z+5.98402e+15x^2.y^2-1.1968e+16x^2.y^2.z ]
215p8 : [ 1+1.69547e+15z-1.69547e+15z^2-3.25y-6.78189e+15y.z+6.78189e+15y.z^2+1.5y^2+5.08642e+15y^2.z-5.08642e+15y^2.z^2-6x-3.39095e+15x.z+3.39095e+15x.z^2+24x.y+1.35638e+16x.y.z-1.35638e+16x.y.z^2-18x.y^2-1.01728e+16x.y^2.z+1.01728e+16x.y^2.z^2 , 0 , 0 ]
216p9 : [ -3+1.69547e+15z-1.69547e+15z^2+16.75y-6.78189e+15y.z+6.78189e+15y.z^2-13.5y^2+5.08642e+15y^2.z-5.08642e+15y^2.z^2+6x-3.39095e+15x.z+3.39095e+15x.z^2-24x.y+1.35638e+16x.y.z-1.35638e+16x.y.z^2+18x.y^2-1.01728e+16x.y^2.z+1.01728e+16x.y^2.z^2 , 0 , 0 ]
217p10 : [ 0 , 2-8z+6z^2-6y+24y.z-18y.z^2-8x+257.57x.z-362.742x.z^2+24x.y-547.14x.y.z+749.484x.y.z^2+6x^2-249.183x^2.z+356.355x^2.z^2-18x^2.y+522.366x^2.y.z-730.71x^2.y.z^2 , 0 ]
218p11 : [ 0 , -4+16z-12z^2+6y-24y.z+18y.z^2+16x-483.161x.z+676.097x.z^2-24x.y+934.323x.y.z-1328.19x.y.z^2-12x^2+467.806x^2.z-664.742x^2.z^2+18x^2.y-911.613x^2.y.z+1311.48x^2.y.z^2 , 0 ]
219p12 : [ 0 , 0 , -0.125+0.1875z+0.5y-1.875y.z-0.375y^2+2.25y^2.z+4.67886e+14x-9.35773e+14x.z+7.26455e+14x.y-1.45291e+15x.y.z-1.19434e+15x.y^2+2.38868e+15x.y^2.z-4.67886e+14x^2+9.35773e+14x^2.z-2.02546e+15x^2.y+4.05091e+15x^2.y.z+2.49334e+15x^2.y^2-4.98668e+15x^2.y^2.z ]
220p13 : [ 0 , 0 , -0.125+0.1875z+1.5y-3.75y.z-1.875y^2+5.0625y^2.z+4.67886e+14x-9.35773e+14x.z+7.26455e+14x.y-1.45291e+15x.y.z-1.19434e+15x.y^2+2.38868e+15x.y^2.z-4.67886e+14x^2+9.35773e+14x^2.z-2.02546e+15x^2.y+4.05091e+15x^2.y.z+2.49334e+15x^2.y^2-4.98668e+15x^2.y^2.z ]
221p14 : [ 9.95686z-9.95686z^2-4y-26.2214y.z+31.4184y.z^2+6y^2+8.26453y^2.z-15.4615y^2.z^2-19.9137x.z+19.9137x.z^2+12x.y+36.4428x.y.z-50.8367x.y.z^2-18x.y^2+7.47094x.y^2.z+12.923x.y^2.z^2 , 0 , 0 ]
222p15 : [ 1.24314z-1.24314z^2+8y-31.6695y.z+21.018y.z^2-12y^2+46.4264y^2.z-31.7749y^2.z^2-2.48627x.z+2.48627x.z^2-12x.y+47.339x.y.z-30.036x.y.z^2+18x.y^2-68.8528x.y^2.z+45.5497x.y^2.z^2 , 0 , 0 ]
223p16 : [ 0 , 12-160z+204z^2+192y.z-288y.z^2+48x-4.80384e+16x.z+7.20576e+16x.z^2-208x.y+9.60768e+16x.y.z-1.44115e+17x.y.z^2-48x^2+4.80384e+16x^2.z-7.20576e+16x^2.z^2+216x^2.y-9.60768e+16x^2.y.z+1.44115e+17x^2.y.z^2 , 0 ]
224p17 : [ 0 , -4-34z+60z^2+48y-96y.z+28x-4.80384e+16x.z+7.20576e+16x.z^2-208x.y+9.60768e+16x.y.z-1.44115e+17x.y.z^2-48x^2+4.80384e+16x^2.z-7.20576e+16x^2.z^2+216x^2.y-9.60768e+16x^2.y.z+1.44115e+17x^2.y.z^2 , 0 ]
225p18 : [ 0 , 0 , -8y+12y.z+12y^2-18y^2.z+2.09355x-4.18711x.z-4.1179x.y+24.2358x.y.z-13.9757x.y^2+3.9513x.y^2.z-2.09355x^2+4.18711x^2.z+25.9897x^2.y-63.9795x^2.y.z-11.8962x^2.y^2+41.7924x^2.y^2.z ]
226p19 : [ 0 , 0 , 4y-12y.z-6y^2+18y^2.z-4.15609x+8.31219x.z+37.0734x.y-58.1469x.y.z-24.9173x.y^2+25.8347x.y^2.z+4.15609x^2-8.31219x^2.z-59.298x^2.y+106.596x^2.y.z+49.1419x^2.y^2-80.2837x^2.y^2.z ]
227p20 : [ -2.16644e+15z+2.16644e+15z^2-4.5y+7.9379e+15y.z-7.57397e+15y.z^2+4.5y^2-5.77146e+15y^2.z+5.40753e+15y^2.z^2+4.33287e+15x.z-4.33287e+15x.z^2-1.58758e+16x.y.z+1.51479e+16x.y.z^2+1.15429e+16x.y^2.z-1.08151e+16x.y^2.z^2 , 0 , 0 ]
228p21 : [ -2.16644e+15z+2.16644e+15z^2-3.75y+7.9379e+15y.z-7.57397e+15y.z^2+3y^2-5.77146e+15y^2.z+5.40753e+15y^2.z^2+4.33287e+15x.z-4.33287e+15x.z^2-1.58758e+16x.y.z+1.51479e+16x.y.z^2+1.15429e+16x.y^2.z-1.08151e+16x.y^2.z^2 , 0 , 0 ]
229p22 : [ 0 , -6.25+26.25z-18.75z^2+10.5y-48y.z+36y.z^2-11x+3.09925e+15x.z-4.26147e+15x.z^2+24.4839x.y-6.1985e+15x.y.z+8.52294e+15x.y.z^2+16.5x^2-3.48666e+15x^2.z+4.64888e+15x^2.z^2-30.7742x^2.y+6.97332e+15x^2.y.z-9.29775e+15x^2.y.z^2 , 0 ]
230p23 : [ 0 , -0.75+8.5z-8.25z^2+1.5y-18y.z+18y.z^2-2x+3.09925e+15x.z-4.26147e+15x.z^2+3.48387x.y-6.1985e+15x.y.z+8.52294e+15x.y.z^2-1.5x^2-3.48666e+15x^2.z+4.64888e+15x^2.z^2+5.22581x^2.y+6.97332e+15x^2.y.z-9.29775e+15x^2.y.z^2 , 0 ]
231p24 : [ 0 , 0 , 3-4.5z-18y+39y.z+18y^2-45y^2.z+2.47487e+15x-4.94975e+15x.z-1.89125e+16x.y+3.78249e+16x.y.z+1.64376e+16x.y^2-3.28752e+16x.y^2.z-2.47487e+15x^2+4.94975e+15x^2.z+2.34189e+16x^2.y-4.68379e+16x^2.y.z-2.09441e+16x^2.y^2+4.18882e+16x^2.y^2.z ]
232p25 : [ 0 , 0 , 6-9z-32y+54y.z+30y^2-54y^2.z-4.94975e+15x+9.89949e+15x.z+3.78249e+16x.y-7.56499e+16x.y.z-3.28752e+16x.y^2+6.57504e+16x.y^2.z+4.94975e+15x^2-9.89949e+15x^2.z-4.68379e+16x^2.y+9.36758e+16x^2.y.z+4.18882e+16x^2.y^2-8.37763e+16x^2.y^2.z ]
233p26 : [ 0 , -14+49z-18z^2+12y-48y.z-24x+1.85955e+16x.z-2.55688e+16x.z^2+80.9032x.y-3.7191e+16x.y.z+5.11376e+16x.y.z^2+24x^2-2.09199e+16x^2.z+2.78933e+16x^2.z^2-76.6452x^2.y+4.18399e+16x^2.y.z-5.57865e+16x^2.y.z^2 , 0 ]
234p27 : [ 0 , 4-22z+24y+52x-3.7191e+16x.z+5.11376e+16x.z^2-161.806x.y+7.4382e+16x.y.z-1.02275e+17x.y.z^2-60x^2+4.18399e+16x^2.z-5.57865e+16x^2.z^2+153.29x^2.y-8.36798e+16x^2.y.z+1.11573e+17x^2.y.z^2 , 0 ]
235p28 : [ 0 , 0 , -5.27746x+10.5549x.z+51.9113x.y-79.8226x.y.z-34.6339x.y^2+33.2677x.y^2.z+5.27746x^2-10.5549x^2.z-79.3121x^2.y+134.624x^2.y.z+62.0346x^2.y^2-88.0692x^2.y^2.z ]
236p29 : [ 0 , 0 , 7.46021x-14.9204x.z-53.7855x.y+107.571x.y.z+10.3253x.y^2-20.6505x.y^2.z-7.46021x^2+14.9204x^2.z+101.758x^2.y-203.516x^2.y.z-58.2976x^2.y^2+116.595x^2.y^2.z ]
237p30 : [ -12.3294z+12.3294z^2+2.77219y.z-3.49947y.z^2+33.5572y^2.z-32.8299y^2.z^2+24.6588x.z-24.6588x.z^2-29.5444x.y.z+30.9989x.y.z^2-31.1144x.y^2.z+29.6599x.y^2.z^2 , 0 , 0 ]
238p31 : [ 27.5294z-27.5294z^2-38.1176y.z+38.1176y.z^2-25.4118y^2.z+25.4118y^2.z^2-55.0588x.z+55.0588x.z^2+76.2353x.y.z-76.2353x.y.z^2+50.8235x.y^2.z-50.8235x.y^2.z^2 , 0 , 0 ]
239p32 : [ 0 , -352+1712z-1824z^2+576y-3072y.z+3456y.z^2-224x+2.8823e+17x.z-4.32346e+17x.z^2+1104x.y-5.76461e+17x.y.z+8.64691e+17x.y.z^2+384x^2-2.8823e+17x^2.z+4.32346e+17x^2.z^2-1296x^2.y+5.76461e+17x^2.y.z-8.64691e+17x^2.y.z^2 , 0 ]
240p33 : [ 0 , 1664-7232z+5952z^2-3072y+13824y.z-11520y.z^2+128x-5.76461e+17x.z+8.64691e+17x.z^2-2208x.y+1.15292e+18x.y.z-1.72938e+18x.y.z^2-576x^2+5.76461e+17x^2.z-8.64691e+17x^2.z^2+2592x^2.y-1.15292e+18x^2.y.z+1.72938e+18x^2.y.z^2 , 0 ]
241p34 : [ 1+2.82579e+15z-2.82579e+15z^2+3.125y-6.93603e+15y.z+4.75246e+15y.z^2-3.75y^2+4.11024e+15y^2.z-1.92667e+15y^2.z^2-5.65158e+15x.z+5.65158e+15x.z^2+1.38721e+16x.y.z-9.50492e+15x.y.z^2-8.22047e+15x.y^2.z+3.85335e+15x.y^2.z^2 , 0 , 0 ]
242p35 : [ -0.5-5.65158e+15z+5.65158e+15z^2-1.75y+1.38721e+16y.z-9.50492e+15y.z^2+3y^2-8.22047e+15y^2.z+3.85335e+15y^2.z^2+1.13032e+16x.z-1.13032e+16x.z^2-2.77441e+16x.y.z+1.90098e+16x.y.z^2+1.64409e+16x.y^2.z-7.70669e+15x.y^2.z^2 , 0 , 0 ]
243p36 : [ 0 , 0 , -24y+36y.z+24y^2-36y^2.z+5.33983x-10.6797x.z+5.34341x.y+37.3132x.y.z-10.6832x.y^2-26.6335x.y^2.z-5.33983x^2+10.6797x^2.z+53.3052x^2.y-142.61x^2.y.z-47.9654x^2.y^2+131.931x^2.y^2.z ]
244p37 : [ 0 , 0 , 36y-72y.z-36y^2+72y^2.z-16.1099x+32.2197x.z+81.1978x.y-162.396x.y.z-65.088x.y^2+130.176x.y^2.z+16.1099x^2-32.2197x^2.z-197.577x^2.y+395.154x^2.y.z+181.467x^2.y^2-362.934x^2.y^2.z ]
245p38 : [ 0 , -12z+12z^2+36y.z-36y.z^2-326.882x.z+512.629x.z^2+605.763x.y.z-977.258x.y.z^2+340.575x^2.z-526.323x^2.z^2-645.151x^2.y.z+1016.65x^2.y.z^2 , 0 ]
246p39 : [ 0 , 36z-36z^2-72y.z+72y.z^2+657.806x.z-1057.48x.z^2-1315.61x.y.z+2114.97x.y.z^2-695.032x^2.z+1094.71x^2.z^2+1390.06x^2.y.z-2189.42x^2.y.z^2 , 0 ]
247p40 : [ 0 , 0 , 20-30z-84y+120y.z+66y^2-90y^2.z+3.32446e+14x-6.64891e+14x.z+2.32712e+16x.y-4.65424e+16x.y.z-2.36036e+16x.y^2+4.72073e+16x.y^2.z-3.32446e+14x^2+6.64891e+14x^2.z-3.55717e+16x^2.y+7.11434e+16x^2.y.z+3.59041e+16x^2.y^2-7.18083e+16x^2.y^2.z ]
248p41 : [ 0 , 0 , -16+24z+48y-36y.z-24y^2-18y^2.z-6.64891e+14x+1.32978e+15x.z-4.65424e+16x.y+9.30848e+16x.y.z+4.72073e+16x.y^2-9.44146e+16x.y^2.z+6.64891e+14x^2-1.32978e+15x^2.z+7.11434e+16x^2.y-1.42287e+17x^2.y.z-7.18083e+16x^2.y^2+1.43617e+17x^2.y^2.z ]
249p42 : [ 8+1.01728e+16z-1.01728e+16z^2+18y-4.06913e+16y.z+4.06913e+16y.z^2-24y^2+3.05185e+16y^2.z-3.05185e+16y^2.z^2-2.03457e+16x.z+2.03457e+16x.z^2+8.13827e+16x.y.z-8.13827e+16x.y.z^2-6.1037e+16x.y^2.z+6.1037e+16x.y^2.z^2 , 0 , 0 ]
250p43 : [ -2.03457e+16z+2.03457e+16z^2-60y+8.13827e+16y.z-8.13827e+16y.z^2+72y^2-6.1037e+16y^2.z+6.1037e+16y^2.z^2+4.06913e+16x.z-4.06913e+16x.z^2-1.62765e+17x.y.z+1.62765e+17x.y.z^2+1.22074e+17x.y^2.z-1.22074e+17x.y^2.z^2 , 0 , 0 ]
251p44 : [ 0 , -24x+1437.29x.z-2082.77x.z^2+36x.y-2826.58x.y.z+4129.55x.y.z^2+24x^2-1438.45x^2.z+2083.94x^2.z^2-36x^2.y+2828.9x^2.y.z-4131.87x^2.y.z^2 , 0 ]
252p45 : [ 0 , 36x-2306.92x.z+3351.35x.z^2-72x.y+4613.85x.y.z-6702.71x.y.z^2-36x^2+2307.96x^2.z-3352.39x^2.z^2+72x^2.y-4615.91x^2.y.z+6704.77x^2.y.z^2 , 0 ]
253p46 : [ 28.1647z-28.1647z^2-12y-68.477y.z+82.3861y.z^2+12y^2+40.3123y^2.z-54.2214y^2.z^2-56.3294x.z+56.3294x.z^2+36x.y+88.954x.y.z-128.772x.y.z^2-36x.y^2-32.6246x.y^2.z+72.4428x.y^2.z^2 , 0 , 0 ]
254p47 : [ -40.3294z+40.3294z^2+36y+32.2267y.z-75.6813y.z^2-36y^2+8.10267y^2.z+35.3519y^2.z^2+80.6588x.z-80.6588x.z^2-72x.y-64.4535x.y.z+151.363x.y.z^2+72x.y^2-16.2053x.y^2.z-70.7037x.y^2.z^2 , 0 , 0 ]
255p48 : [ 58.1647z-58.1647z^2-93.0225y.z+95.2043y.z^2+34.8578y^2.z-37.0396y^2.z^2-116.329x.z+116.329x.z^2+258.045x.y.z-262.409x.y.z^2-141.716x.y^2.z+146.079x.y^2.z^2 , 0 , 0 ]
256p49 : [ -99.1059z+99.1059z^2+180.424y.z-180.424y.z^2-81.3176y^2.z+81.3176y^2.z^2+198.212x.z-198.212x.z^2-360.847x.y.z+360.847x.y.z^2+162.635x.y^2.z-162.635x.y^2.z^2 , 0 , 0 ]
257p50 : [ 0 , 589.935x.z-811.161x.z^2-1107.87x.y.z+1550.32x.y.z^2-591.677x^2.z+812.903x^2.z^2+1111.35x^2.y.z-1553.81x^2.y.z^2 , 0 ]
258p51 : [ 0 , -787.355x.z+1073.61x.z^2+1574.71x.y.z-2147.23x.y.z^2+786.774x^2.z-1073.03x^2.z^2-1573.55x^2.y.z+2146.06x^2.y.z^2 , 0 ]
259p52 : [ 0 , 0 , 5.42561x-10.8512x.z+19.7924x.y+32.4152x.y.z-25.218x.y^2-21.564x.y^2.z-5.42561x^2+10.8512x^2.z+31.4602x^2.y-134.92x^2.y.z-26.0346x^2.y^2+124.069x^2.y^2.z ]
260p53 : [ 0 , 0 , -20.3573x+40.7146x.z+113.656x.y-227.312x.y.z-93.2985x.y^2+186.597x.y^2.z+20.3573x^2-40.7146x^2.z-237.769x^2.y+475.538x^2.y.z+217.412x^2.y^2-434.824x^2.y^2.z ]
261
262- Dof numbers on side of sides (RefElement hexahedron_Nedelec_Cube_Edge_first family_2)
263 . side of side 1 ->  1 2
264 . side of side 2 ->  3 4
265 . side of side 3 ->  5 6
266 . side of side 4 ->  7 8
267 . side of side 5 ->  9 10
268 . side of side 6 ->  11 12
269 . side of side 7 ->  13 14
270 . side of side 8 ->  15 16
271 . side of side 9 ->  17 18
272 . side of side 10 ->  19 20
273 . side of side 11 ->  21 22
274 . side of side 12 ->  23 24
275- Dof numbers on sides (RefElement hexahedron_Nedelec_Cube_Edge_first family_2)
276 . side 1 -> 1 2 5 6 13 14 23 24 25 26 27 28
277 . side 2 -> 3 4 1 2 15 16 19 20 29 30 31 32
278 . side 3 -> 5 6 3 4 17 18 21 22 33 34 35 36
279 . side 4 -> 11 12 7 8 17 18 19 20 37 38 39 40
280 . side 5 -> 7 8 9 10 13 14 21 22 41 42 43 44
281 . side 6 -> 9 10 11 12 15 16 23 24 45 46 47 48
282
283   unit_NedelecEdgeHexahedron (hexahedron_Nedelec_Cube_Edge_first family_2) at point (  5.00000000000e-01  5.00000000000e-01  5.00000000000e-01 )
284     w :
285 0.00000000000e+00 0.00000000000e+00 1.03125000000e+00 0.00000000000e+00 0.00000000000e+00 7.96875000000e-01 4.53125000000e-01 0.00000000000e+00 0.00000000000e+00 3.28125000000e-01 ...
286     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 9.50000000000e+00 0.00000000000e+00 0.00000000000e+00 1.15000000000e+01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
287     ... 5.82031250000e-01 0.00000000000e+00 0.00000000000e+00 8.94531250000e-01-1.75000000000e+00 0.00000000000e+00 0.00000000000e+00-2.50000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
288     ... 0.00000000000e+00-6.25000000000e-02 0.00000000000e+00 0.00000000000e+00-6.25000000000e-02 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 1.25000000000e-01 0.00000000000e+00 ...
289     ... 0.00000000000e+00 1.32812500000e-01-6.25000000000e-02 0.00000000000e+00 0.00000000000e+00-6.25000000000e-02 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 7.00000000000e+00 ...
290     ... 0.00000000000e+00 0.00000000000e+00 5.50000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 6.25000000000e-02 0.00000000000e+00 0.00000000000e+00 6.25000000000e-02 ...
291     ... 2.12500000000e+00 0.00000000000e+00 0.00000000000e+00 2.50000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.09375000000e+00 0.00000000000e+00 0.00000000000e+00 ...
292     ...-9.06250000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-6.37500000000e+00 0.00000000000e+00 0.00000000000e+00 1.02500000000e+01 0.00000000000e+00-6.75000000000e+00 ...
293     ... 0.00000000000e+00 0.00000000000e+00 1.85000000000e+01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.75000000000e-01 0.00000000000e+00 0.00000000000e+00-9.76996261670e-15 ...
294     ...-3.75000000000e-01 0.00000000000e+00 0.00000000000e+00-6.21724893790e-15 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-6.60000000000e+01 0.00000000000e+00 0.00000000000e+00 ...
295     ... 1.08000000000e+02 0.00000000000e+00-1.62500000000e+00 0.00000000000e+00 0.00000000000e+00 5.25000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
296     ... 3.75000000000e-01 0.00000000000e+00 0.00000000000e+00 5.32907051820e-15 0.00000000000e+00-3.75000000000e-01 0.00000000000e+00 0.00000000000e+00-1.74082970261e-13 0.00000000000e+00 ...
297     ... 0.00000000000e+00 0.00000000000e+00 1.43750000000e+00 0.00000000000e+00 0.00000000000e+00-2.62500000000e+00-6.50000000000e+00 0.00000000000e+00 0.00000000000e+00 1.80000000000e+01 ...
298     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.75000000000e-01 0.00000000000e+00 0.00000000000e+00 4.54747350886e-13 0.00000000000e+00-3.75000000000e-01 0.00000000000e+00 ...
299     ... 0.00000000000e+00 1.77635683940e-15 0.00000000000e+00 0.00000000000e+00 2.25000000000e+00 0.00000000000e+00 0.00000000000e+00 8.17124146124e-14 0.00000000000e+00 0.00000000000e+00 ...
300     ... 0.00000000000e+00 2.25000000000e+00 0.00000000000e+00 0.00000000000e+00 5.11590769747e-13 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.25000000000e+00 0.00000000000e+00 ...
301     ... 0.00000000000e+00 2.30926389122e-14
302   d1w :
303 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-5.00000000000e-01-1.33796780373e+13 0.00000000000e+00 0.00000000000e+00-1.33796780373e+13 ...
304     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-4.00000000000e+00 0.00000000000e+00 0.00000000000e+00-4.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
305     ...-9.84375000000e-01 0.00000000000e+00 0.00000000000e+00-4.84375000000e-01 2.11934100112e+14 0.00000000000e+00 0.00000000000e+00 2.11934100112e+14 0.00000000000e+00 0.00000000000e+00 ...
306     ... 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-6.25000000000e-01 0.00000000000e+00 ...
307     ... 0.00000000000e+00-6.25000000000e-01 1.01922905526e+00 0.00000000000e+00 0.00000000000e+00 1.98952762923e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
308     ... 0.00000000000e+00 0.00000000000e+00 2.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 ...
309     ...-2.25313778149e+14 0.00000000000e+00 0.00000000000e+00-2.25313778149e+14 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.25000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
310     ... 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-2.00000000000e+00 0.00000000000e+00-3.00000000000e+00 ...
311     ... 0.00000000000e+00 0.00000000000e+00-4.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-3.55271367880e-15 0.00000000000e+00 0.00000000000e+00 5.32907051820e-15 ...
312     ... 6.17914438503e-01 0.00000000000e+00 0.00000000000e+00-1.05882352941e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.20000000000e+01 0.00000000000e+00 0.00000000000e+00 ...
313     ...-6.40000000000e+01 0.00000000000e+00 8.02780682241e+13 0.00000000000e+00 0.00000000000e+00-1.60556136448e+14 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
314     ... 1.50000000000e+00 0.00000000000e+00 0.00000000000e+00-7.10542735760e-15 0.00000000000e+00-1.50000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
315     ... 0.00000000000e+00 0.00000000000e+00-6.87500000000e+00 0.00000000000e+00 0.00000000000e+00 1.37500000000e+01 1.27160460067e+15 0.00000000000e+00 0.00000000000e+00-2.54320920134e+15 ...
316     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.68434188608e-14 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 1.50922459893e+00 0.00000000000e+00 ...
317     ... 0.00000000000e+00-1.47299465241e+00 0.00000000000e+00 0.00000000000e+00-5.95668449198e+00 0.00000000000e+00 0.00000000000e+00 1.46117647059e+01 0.00000000000e+00 0.00000000000e+00 ...
318     ... 0.00000000000e+00-2.27373675443e-13 0.00000000000e+00 0.00000000000e+00 3.41060513165e-13 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.42108547152e-14 0.00000000000e+00 ...
319     ... 0.00000000000e+00-3.19744231092e-14
320   d2w :
321 0.00000000000e+00 0.00000000000e+00 1.33226762955e-14 0.00000000000e+00 0.00000000000e+00-3.12500000000e-01-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-3.75000000000e-01 ...
322     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.19610296136e+15 0.00000000000e+00 0.00000000000e+00 3.19610296136e+15 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
323     ...-5.46875000000e-01 0.00000000000e+00 0.00000000000e+00-4.68750000000e-02 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
324     ... 0.00000000000e+00-1.44731182796e+01 0.00000000000e+00 0.00000000000e+00 2.65725806452e+01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.12500000000e-01 0.00000000000e+00 ...
325     ... 0.00000000000e+00 2.81250000000e-01 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.00239975158e+15 ...
326     ... 0.00000000000e+00 0.00000000000e+00 3.00239975158e+15 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 ...
327     ...-1.25000000000e+00 0.00000000000e+00 0.00000000000e+00-5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.93703209779e+14 0.00000000000e+00 0.00000000000e+00 ...
328     ...-1.93703209779e+14 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.00000000000e+00 0.00000000000e+00-1.16221925868e+15 ...
329     ... 0.00000000000e+00 0.00000000000e+00 2.32443851735e+15 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.50000000000e+00 0.00000000000e+00 0.00000000000e+00 1.50990331349e-14 ...
330     ... 1.50000000000e+00 0.00000000000e+00 0.00000000000e+00 1.42108547152e-14 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.80143985095e+16 0.00000000000e+00 0.00000000000e+00 ...
331     ... 3.60287970190e+16 0.00000000000e+00 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-1.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
332     ... 8.88178419700e-15 0.00000000000e+00 0.00000000000e+00 7.10542735760e-15 0.00000000000e+00 2.11801075269e+01 0.00000000000e+00 0.00000000000e+00-4.56129032258e+01 0.00000000000e+00 ...
333     ... 0.00000000000e+00 0.00000000000e+00-3.00000000000e+00 0.00000000000e+00 0.00000000000e+00 1.00000000000e+00-2.00000000000e+00 0.00000000000e+00 0.00000000000e+00-8.00000000000e+00 ...
334     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-8.60806451613e+01 0.00000000000e+00 0.00000000000e+00 1.39682795699e+02 0.00000000000e+00-7.10542735760e-15 0.00000000000e+00 ...
335     ... 0.00000000000e+00-7.10542735760e-15 0.00000000000e+00 0.00000000000e+00 3.19744231092e-14 0.00000000000e+00 0.00000000000e+00-7.10542735760e-15 0.00000000000e+00 0.00000000000e+00 ...
336     ... 0.00000000000e+00-4.13709677419e+01 0.00000000000e+00 0.00000000000e+00 6.27096774194e+01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 3.55271367880e-15 0.00000000000e+00 ...
337     ... 0.00000000000e+00 2.13162820728e-14
338   d3w :
339 0.00000000000e+00 0.00000000000e+00-1.45444970665e+14 0.00000000000e+00 0.00000000000e+00-1.45444970665e+14-4.37500000000e-01 0.00000000000e+00 0.00000000000e+00-3.75000000000e-01 ...
340     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-6.00000000000e+00 0.00000000000e+00 0.00000000000e+00-2.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
341     ...-2.49334235425e+14 0.00000000000e+00 0.00000000000e+00-2.49334235425e+14-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-7.50000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
342     ... 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.03889264761e+14 0.00000000000e+00 ...
343     ... 0.00000000000e+00-1.03889264761e+14-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00-2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-4.00000000000e+00 ...
344     ... 0.00000000000e+00 0.00000000000e+00 2.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 1.62067474048e+00 0.00000000000e+00 0.00000000000e+00-2.42257785467e+00 ...
345     ... 5.00000000000e-01 0.00000000000e+00 0.00000000000e+00 1.25000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 ...
346     ... 2.50000000000e-01 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 8.72669823989e+14 0.00000000000e+00 0.00000000000e+00-1.74533964798e+15 0.00000000000e+00 1.00000000000e+00 ...
347     ... 0.00000000000e+00 0.00000000000e+00-2.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.83477508651e+00 0.00000000000e+00 0.00000000000e+00 2.42906574394e+00 ...
348     ...-1.11022302463e-15 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 1.60000000000e+01 0.00000000000e+00 0.00000000000e+00 ...
349     ... 6.40000000000e+01 0.00000000000e+00-3.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 ...
350     ... 2.74855824683e+00 0.00000000000e+00 0.00000000000e+00-7.56113033449e+00 0.00000000000e+00-3.90798504668e-14 0.00000000000e+00 0.00000000000e+00 9.23705556488e-14 0.00000000000e+00 ...
351     ... 0.00000000000e+00 0.00000000000e+00-1.49600541255e+15 0.00000000000e+00 0.00000000000e+00 2.99201082510e+15-1.00000000000e+01 0.00000000000e+00 0.00000000000e+00 1.60000000000e+01 ...
352     ... 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 1.50000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-1.50000000000e+00 0.00000000000e+00 ...
353     ... 0.00000000000e+00 1.42108547152e-14 0.00000000000e+00 0.00000000000e+00-1.42108547152e-14 0.00000000000e+00 0.00000000000e+00 2.84217094304e-14 0.00000000000e+00 0.00000000000e+00 ...
354     ... 0.00000000000e+00-2.27373675443e-13 0.00000000000e+00 0.00000000000e+00 5.68434188608e-14 0.00000000000e+00 0.00000000000e+00 0.00000000000e+00-6.41522491349e+00 0.00000000000e+00 ...
355     ... 0.00000000000e+00 8.94117647059e+00
356================================================================================================
357
358=============== test Nedelec edge first family of order 1 ===============
359number of elements on edge : 10 number of hexahedra : 1000 number of dofs : 3630
360L2 error on Lagrange projection= 0.0066815478782
361
362=============== test Nedelec edge first family of order 2 ===============
363number of elements on edge : 5 number of hexahedra : 125 number of dofs : 3630
364L2 error on Lagrange projection= 0.8655797024
365
366