diff --git a/extra_packages/igfem b/extra_packages/igfem
index f1ecdd233..320dffae6 160000
--- a/extra_packages/igfem
+++ b/extra_packages/igfem
@@ -1 +1 @@
-Subproject commit f1ecdd233d10ee7843e0ecd2b743fc75b4a28506
+Subproject commit 320dffae6af07a028b4f973a6e2c2dcf82e34c7f
diff --git a/test/test_fe_engine/test_fe_engine_precomputation_hexahedron_20.verified b/test/test_fe_engine/test_fe_engine_precomputation_hexahedron_20.verified
index e05f5298d..a9e2bc66a 100644
--- a/test/test_fe_engine/test_fe_engine_precomputation_hexahedron_20.verified
+++ b/test/test_fe_engine/test_fe_engine_precomputation_hexahedron_20.verified
@@ -1,119 +1,119 @@
 FEEngineTemplate [
  + parent [
    FEEngine [
     + id                : my_fem
     + element dimension : 3
     + mesh [
      Mesh [
       + id                : mesh
       + spatial dimension : 3
       + nodes [
        Array<double> [
         + id             : mesh:coordinates
         + size           : 81
         + nb_component   : 3
         + allocated size : 2000
         + memory size    : 46.88KiByte
         + values         : {{-0.5, -0.5, -0.5}, {0.5, -0.5, -0.5}, {-0.5, 0.5, -0.5}, {0.5, 0.5, -0.5}, {-0.5, -0.5, 0.5}, {0.5, -0.5, 0.5}, {0.5, 0.5, 0.5}, {-0.5, 0.5, 0.5}, {0, -0.5, -0.5}, {-0.25, -0.5, -0.5}, {0.25, -0.5, -0.5}, {0, 0.5, -0.5}, {-0.25, 0.5, -0.5}, {0.25, 0.5, -0.5}, {-0.5, 0, -0.5}, {-0.5, -0.25, -0.5}, {-0.5, 0.25, -0.5}, {0.5, 0, -0.5}, {0.5, -0.25, -0.5}, {0.5, 0.25, -0.5}, {0, -0.5, 0.5}, {-0.25, -0.5, 0.5}, {0.25, -0.5, 0.5}, {0.5, 0, 0.5}, {0.5, -0.25, 0.5}, {0.5, 0.25, 0.5}, {0, 0.5, 0.5}, {0.25, 0.5, 0.5}, {-0.25, 0.5, 0.5}, {-0.5, 0, 0.5}, {-0.5, 0.25, 0.5}, {-0.5, -0.25, 0.5}, {-0.5, -0.5, 0}, {-0.5, -0.5, -0.25}, {-0.5, -0.5, 0.25}, {0.5, -0.5, 0}, {0.5, -0.5, -0.25}, {0.5, -0.5, 0.25}, {0.5, 0.5, 0}, {0.5, 0.5, -0.25}, {0.5, 0.5, 0.25}, {-0.5, 0.5, 0}, {-0.5, 0.5, -0.25}, {-0.5, 0.5, 0.25}, {0, 0, -0.5}, {0, -0.25, -0.5}, {-0.25, 0, -0.5}, {0, 0.25, -0.5}, {0.25, 0, -0.5}, {0, -0.5, 0}, {0, -0.5, -0.25}, {-0.25, -0.5, 0}, {0, -0.5, 0.25}, {0.25, -0.5, 0}, {0.5, 0, 0}, {0.5, 0, -0.25}, {0.5, -0.25, 0}, {0.5, 0, 0.25}, {0.5, 0.25, 0}, {0, 0.5, 0}, {-0.25, 0.5, 0}, {0, 0.5, -0.25}, {0, 0.5, 0.25}, {0.25, 0.5, 0}, {-0.5, 0, 0}, {-0.5, -0.25, 0}, {-0.5, 0, -0.25}, {-0.5, 0, 0.25}, {-0.5, 0.25, 0}, {0, 0, 0.5}, {0, -0.25, 0.5}, {-0.25, 0, 0.5}, {0, 0.25, 0.5}, {0.25, 0, 0.5}, {0, 0, 0}, {0, 0, -0.25}, {0, -0.25, 0}, {-0.25, 0, 0}, {0, 0, 0.25}, {0, 0.25, 0}, {0.25, 0, 0}}
        ]
       + connectivities [
        ElementTypeMapArray<unsigned int> [
               (not_ghost:_point_1) [
           Array<unsigned int> [
            + id             : mesh:connectivities:_point_1
            + size           : 8
            + nb_component   : 1
            + allocated size : 2000
            + memory size    : 7.81KiByte
            + values         : {{0}, {1}, {2}, {3}, {4}, {5}, {6}, {7}}
           ]
                ]
               (not_ghost:_segment_3) [
           Array<unsigned int> [
            + id             : mesh:connectivities:_segment_3
            + size           : 24
            + nb_component   : 3
            + allocated size : 2000
            + memory size    : 23.44KiByte
            + values         : {{0, 8, 9}, {8, 1, 10}, {2, 11, 12}, {11, 3, 13}, {0, 14, 15}, {14, 2, 16}, {1, 17, 18}, {17, 3, 19}, {4, 20, 21}, {20, 5, 22}, {5, 23, 24}, {23, 6, 25}, {6, 26, 27}, {26, 7, 28}, {7, 29, 30}, {29, 4, 31}, {0, 32, 33}, {32, 4, 34}, {1, 35, 36}, {35, 5, 37}, {3, 38, 39}, {38, 6, 40}, {2, 41, 42}, {41, 7, 43}}
           ]
                ]
               (not_ghost:_quadrangle_8) [
           Array<unsigned int> [
            + id             : mesh:connectivities:_quadrangle_8
            + size           : 24
            + nb_component   : 8
            + allocated size : 2000
            + memory size    : 62.50KiByte
            + values         : {{0, 8, 44, 14, 9, 45, 46, 15}, {14, 44, 11, 2, 46, 47, 12, 16}, {8, 1, 17, 44, 10, 18, 48, 45}, {44, 17, 3, 11, 48, 19, 13, 47}, {0, 8, 49, 32, 9, 50, 51, 33}, {32, 49, 20, 4, 51, 52, 21, 34}, {8, 1, 35, 49, 10, 36, 53, 50}, {49, 35, 5, 20, 53, 37, 22, 52}, {1, 17, 54, 35, 18, 55, 56, 36}, {35, 54, 23, 5, 56, 57, 24, 37}, {17, 3, 38, 54, 19, 39, 58, 55}, {54, 38, 6, 23, 58, 40, 25, 57}, {2, 41, 59, 11, 42, 60, 61, 12}, {41, 7, 26, 59, 43, 28, 62, 60}, {11, 59, 38, 3, 61, 63, 39, 13}, {59, 26, 6, 38, 62, 27, 40, 63}, {0, 32, 64, 14, 33, 65, 66, 15}, {32, 4, 29, 64, 34, 31, 67, 65}, {14, 64, 41, 2, 66, 68, 42, 16}, {64, 29, 7, 41, 67, 30, 43, 68}, {4, 20, 69, 29, 21, 70, 71, 31}, {29, 69, 26, 7, 71, 72, 28, 30}, {20, 5, 23, 69, 22, 24, 73, 70}, {69, 23, 6, 26, 73, 25, 27, 72}}
           ]
                ]
               (not_ghost:_hexahedron_20) [
           Array<unsigned int> [
            + id             : mesh:connectivities:_hexahedron_20
            + size           : 8
            + nb_component   : 20
            + allocated size : 2000
            + memory size    : 156.25KiByte
            + values         : {{0, 8, 44, 14, 32, 49, 74, 64, 9, 45, 46, 15, 33, 50, 75, 66, 51, 76, 77, 65}, {32, 49, 74, 64, 4, 20, 69, 29, 51, 76, 77, 65, 34, 52, 78, 67, 21, 70, 71, 31}, {14, 44, 11, 2, 64, 74, 59, 41, 46, 47, 12, 16, 66, 75, 61, 42, 77, 79, 60, 68}, {64, 74, 59, 41, 29, 69, 26, 7, 77, 79, 60, 68, 67, 78, 62, 43, 71, 72, 28, 30}, {8, 1, 17, 44, 49, 35, 54, 74, 10, 18, 48, 45, 50, 36, 55, 75, 53, 56, 80, 76}, {49, 35, 54, 74, 20, 5, 23, 69, 53, 56, 80, 76, 52, 37, 57, 78, 22, 24, 73, 70}, {44, 17, 3, 11, 74, 54, 38, 59, 48, 19, 13, 47, 75, 55, 39, 61, 80, 58, 63, 79}, {74, 54, 38, 59, 69, 23, 6, 26, 80, 58, 63, 79, 78, 57, 40, 62, 73, 25, 27, 72}}
           ]
                ]
        ]
       ]
       GroupManager [
       ]
      ]
     ]
    ]
    ]
  + shape functions [
    Shapes Lagrange [
     Shapes [
      ElementTypeMap<akantu::Matrix<double>> [
           (not_ghost:_hexahedron_20)
      ]
     ]
     ElementTypeMapArray<double> [
         (not_ghost:_itp_serendip_hexahedron_20) [
        Array<double> [
         + id             : my_fem:shapes_generic:_itp_serendip_hexahedron_20
-        + size           : 64
+        + size           : 216
         + nb_component   : 20
-        + allocated size : 64
-        + memory size    : 10.00KiByte
-        + values         : {{-0.131446, -0.187001, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.0352208, -0.0907764, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111}, {-0.187001, -0.131446, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.0907764, -0.0352208, 0.414672, 0.414672, 0.111111, 0.111111, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721}, {-0.187001, -0.0907764, -0.187001, -0.131446, -0.0907764, -0.0352208, -0.0907764, -0.187001, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.0297721, 0.0297721, 0.111111, 0.111111}, {-0.0907764, -0.187001, -0.131446, -0.187001, -0.0352208, -0.0907764, -0.187001, -0.0907764, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721}, {-0.187001, -0.0907764, -0.0352208, -0.0907764, -0.131446, -0.187001, -0.0907764, -0.187001, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672}, {-0.0907764, -0.187001, -0.0907764, -0.0352208, -0.187001, -0.131446, -0.187001, -0.0907764, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.414672, 0.414672, 0.111111, 0.111111}, {-0.0907764, -0.0352208, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.187001, -0.131446, 0.0297721, 0.0297721, 0.111111, 0.111111, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672}, {-0.0352208, -0.0907764, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.131446, -0.187001, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111}, {-0.131446, -0.187001, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.0352208, -0.0907764, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111}, {-0.187001, -0.131446, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.0907764, -0.0352208, 0.414672, 0.414672, 0.111111, 0.111111, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721}, {-0.187001, -0.0907764, -0.187001, -0.131446, -0.0907764, -0.0352208, -0.0907764, -0.187001, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.0297721, 0.0297721, 0.111111, 0.111111}, {-0.0907764, -0.187001, -0.131446, -0.187001, -0.0352208, -0.0907764, -0.187001, -0.0907764, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721}, {-0.187001, -0.0907764, -0.0352208, -0.0907764, -0.131446, -0.187001, -0.0907764, -0.187001, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672}, {-0.0907764, -0.187001, -0.0907764, -0.0352208, -0.187001, -0.131446, -0.187001, -0.0907764, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.414672, 0.414672, 0.111111, 0.111111}, {-0.0907764, -0.0352208, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.187001, -0.131446, 0.0297721, 0.0297721, 0.111111, 0.111111, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672}, {-0.0352208, -0.0907764, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.131446, -0.187001, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111}, {-0.131446, -0.187001, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.0352208, -0.0907764, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111}, {-0.187001, -0.131446, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.0907764, -0.0352208, 0.414672, 0.414672, 0.111111, 0.111111, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721}, {-0.187001, -0.0907764, -0.187001, -0.131446, -0.0907764, -0.0352208, -0.0907764, -0.187001, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.0297721, 0.0297721, 0.111111, 0.111111}, {-0.0907764, -0.187001, -0.131446, -0.187001, -0.0352208, -0.0907764, -0.187001, -0.0907764, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721}, {-0.187001, -0.0907764, -0.0352208, -0.0907764, -0.131446, -0.187001, -0.0907764, -0.187001, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672}, {-0.0907764, -0.187001, -0.0907764, -0.0352208, -0.187001, -0.131446, -0.187001, -0.0907764, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.414672, 0.414672, 0.111111, 0.111111}, {-0.0907764, -0.0352208, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.187001, -0.131446, 0.0297721, 0.0297721, 0.111111, 0.111111, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672}, {-0.0352208, -0.0907764, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.131446, -0.187001, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111}, {-0.131446, -0.187001, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.0352208, -0.0907764, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111}, {-0.187001, -0.131446, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.0907764, -0.0352208, 0.414672, 0.414672, 0.111111, 0.111111, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721}, {-0.187001, -0.0907764, -0.187001, -0.131446, -0.0907764, -0.0352208, -0.0907764, -0.187001, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.0297721, 0.0297721, 0.111111, 0.111111}, {-0.0907764, -0.187001, -0.131446, -0.187001, -0.0352208, -0.0907764, -0.187001, -0.0907764, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721}, {-0.187001, -0.0907764, -0.0352208, -0.0907764, -0.131446, -0.187001, -0.0907764, -0.187001, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672}, {-0.0907764, -0.187001, -0.0907764, -0.0352208, -0.187001, -0.131446, -0.187001, -0.0907764, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.414672, 0.414672, 0.111111, 0.111111}, {-0.0907764, -0.0352208, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.187001, -0.131446, 0.0297721, 0.0297721, 0.111111, 0.111111, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672}, {-0.0352208, -0.0907764, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.131446, -0.187001, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111}, {-0.131446, -0.187001, -0.0907764, -0.187001, -0.187001, -0.0907764, -0.0352208, -0.0907764, 0.414672, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721, 0.111111}, {-0.187001, -0.131446, -0.187001, -0.0907764, -0.0907764, -0.187001, -0.0907764, -0.0352208, 0.414672, 0.414672, 0.111111, 0.111111, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721, 0.0297721}, {-0.187001, -0.0907764, -0.187001, -0.131446, -0.0907764, -0.0352208, -0.0907764, -0.187001, 0.111111, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.0297721, 0.0297721, 0.111111, 0.111111}, {-0.0907764, -0.187001, -0.131446, -0.187001, -0.0352208, -0.0907764, -0.187001, -0.0907764, 0.111111, 0.414672, 0.414672, 0.111111, 0.0297721, 0.111111, 0.414672, 0.111111, 0.0297721, 0.111111, 0.111111, 0.0297721}, {-0.187001, -0.0907764, -0.0352208, -0.0907764, -0.131446, -0.187001, -0.0907764, -0.187001, 0.111111, 0.0297721, 0.0297721, 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+        + allocated size : 216
+        + memory size    : 33.75KiByte
+        + values         : {{0.22619, -0.10873, -0.0312702, -0.10873, -0.10873, -0.0312702, -0.0061895, -0.0312702, 0.314919, 0.04, 0.04, 0.314919, 0.314919, 0.04, 0.00508067, 0.04, 0.04, 0.00508067, 0.00508067, 0.04}, {-0.17746, -0.17746, -0.1, -0.1, -0.1, -0.1, -0.0225403, -0.0225403, 0.787298, 0.17746, 0.1, 0.17746, 0.17746, 0.17746, 0.0225403, 0.0225403, 0.1, 0.0225403, 0.0127017, 0.0225403}, {-0.10873, 0.22619, -0.10873, -0.0312702, -0.0312702, -0.10873, -0.0312702, -0.0061895, 0.314919, 0.314919, 0.04, 0.04, 0.04, 0.314919, 0.04, 0.00508067, 0.04, 0.04, 0.00508067, 0.00508067}, {-0.17746, -0.1, -0.1, -0.17746, -0.1, -0.0225403, -0.0225403, -0.1, 0.17746, 0.1, 0.17746, 0.787298, 0.17746, 0.0225403, 0.0225403, 0.17746, 0.0225403, 0.0127017, 0.0225403, 0.1}, {-0.271825, -0.271825, -0.271825, -0.271825, -0.0781754, -0.0781754, -0.0781754, -0.0781754, 0.443649, 0.443649, 0.443649, 0.443649, 0.1, 0.1, 0.1, 0.1, 0.0563508, 0.0563508, 0.0563508, 0.0563508}, {-0.1, -0.17746, -0.17746, 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        ]
          ]
     ]
     ElementTypeMapArray<double> [
         (not_ghost:_itp_serendip_hexahedron_20) [
        Array<double> [
         + id             : my_fem:shapes_derivatives_generic:_itp_serendip_hexahedron_20
-        + size           : 64
+        + size           : 216
         + nb_component   : 60
-        + allocated size : 64
-        + memory size    : 30.00KiByte
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+        + allocated size : 216
+        + memory size    : 101.25KiByte
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        ]
          ]
     ]
    ]
    ]
  + integrator [
    Integrator [
     ElementTypeMapArray<double> [
         (not_ghost:_hexahedron_20) [
        Array<double> [
         + id             : my_fem:jacobians:_hexahedron_20
-        + size           : 64
+        + size           : 216
         + nb_component   : 1
-        + allocated size : 64
-        + memory size    : 512.00Byte
-        + values         : {{0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}, {0.015625}}
+        + allocated size : 216
+        + memory size    : 1.69KiByte
+        + values         : {{0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00685871}, {0.0109739}, {0.00685871}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00685871}, {0.00428669}, {0.00267918}, {0.00428669}, {0.00267918}}
        ]
          ]
     ]
    ]
    ]
 ]
 
diff --git a/test/test_fe_engine/test_gradient_hexahedron_20.verified b/test/test_fe_engine/test_gradient_hexahedron_20.verified
index ae9f2cc04..d7efdffdb 100644
--- a/test/test_fe_engine/test_gradient_hexahedron_20.verified
+++ b/test/test_fe_engine/test_gradient_hexahedron_20.verified
@@ -1,37 +1,37 @@
 Epsilon : 1e-12
 Linear array on nodes : Array<double> [
  + id             : const_val
  + size           : 81
  + nb_component   : 2
  + allocated size : 81
  + memory size    : 1.27KiByte
  + values         : {{-33.5, -11.5}, {-20.5, -0.5}, {-10.5, -4.5}, {2.5, 6.5}, {-2.5, -6.5}, {10.5, 4.5}, {33.5, 11.5}, {20.5, 0.5}, {-27, -6}, {-30.25, -8.75}, {-23.75, -3.25}, {-4, 1}, {-7.25, -1.75}, {-0.75, 3.75}, {-22, -8}, {-27.75, -9.75}, {-16.25, -6.25}, {-9, 3}, {-14.75, 1.25}, {-3.25, 4.75}, {4, -1}, {0.75, -3.75}, {7.25, 1.75}, {22, 8}, {16.25, 6.25}, {27.75, 9.75}, {27, 6}, {30.25, 8.75}, {23.75, 3.25}, {9, -3}, {14.75, -1.25}, {3.25, -4.75}, {-18, -9}, {-25.75, -10.25}, {-10.25, -7.75}, {-5, 2}, {-12.75, 0.75}, {2.75, 3.25}, {18, 9}, {10.25, 7.75}, {25.75, 10.25}, {5, -2}, {-2.75, -3.25}, {12.75, -0.75}, {-15.5, -2.5}, {-21.25, -4.25}, {-18.75, -5.25}, {-9.75, -0.75}, {-12.25, 0.25}, {-11.5, -3.5}, {-19.25, -4.75}, {-14.75, -6.25}, {-3.75, -2.25}, {-8.25, -0.75}, {6.5, 5.5}, {-1.25, 4.25}, {0.75, 3.75}, {14.25, 6.75}, {12.25, 7.25}, {11.5, 3.5}, {8.25, 0.75}, {3.75, 2.25}, {19.25, 4.75}, {14.75, 6.25}, {-6.5, -5.5}, {-12.25, -7.25}, {-14.25, -6.75}, {1.25, -4.25}, {-0.75, -3.75}, {15.5, 2.5}, {9.75, 0.75}, {12.25, -0.25}, {21.25, 4.25}, {18.75, 5.25}, {0, 0}, {-7.75, -1.25}, {-5.75, -1.75}, {-3.25, -2.75}, {7.75, 1.25}, {5.75, 1.75}, {3.25, 2.75}}
 ]
 
 Gradient on quad : Array<double> [
  + id             : grad_on_quad
- + size           : 64
+ + size           : 216
  + nb_component   : 6
- + allocated size : 64
- + memory size    : 3.00KiByte
- + values         : {{13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}}
+ + allocated size : 216
+ + memory size    : 10.12KiByte
+ + values         : {{13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}, {13, 11, 23, 7, 31, 5}}
 ]
 
 Node positions : Array<double> [
  + id             : mesh:coordinates
  + size           : 81
  + nb_component   : 3
  + allocated size : 2000
  + memory size    : 46.88KiByte
  + values         : {{-0.5, -0.5, -0.5}, {0.5, -0.5, -0.5}, {-0.5, 0.5, -0.5}, {0.5, 0.5, -0.5}, {-0.5, -0.5, 0.5}, {0.5, -0.5, 0.5}, {0.5, 0.5, 0.5}, {-0.5, 0.5, 0.5}, {0, -0.5, -0.5}, {-0.25, -0.5, -0.5}, {0.25, -0.5, -0.5}, {0, 0.5, -0.5}, {-0.25, 0.5, -0.5}, {0.25, 0.5, -0.5}, {-0.5, 0, -0.5}, {-0.5, -0.25, -0.5}, {-0.5, 0.25, -0.5}, {0.5, 0, -0.5}, {0.5, -0.25, -0.5}, {0.5, 0.25, -0.5}, {0, -0.5, 0.5}, {-0.25, -0.5, 0.5}, {0.25, -0.5, 0.5}, {0.5, 0, 0.5}, {0.5, -0.25, 0.5}, {0.5, 0.25, 0.5}, {0, 0.5, 0.5}, {0.25, 0.5, 0.5}, {-0.25, 0.5, 0.5}, {-0.5, 0, 0.5}, {-0.5, 0.25, 0.5}, {-0.5, -0.25, 0.5}, {-0.5, -0.5, 0}, {-0.5, -0.5, -0.25}, {-0.5, -0.5, 0.25}, {0.5, -0.5, 0}, {0.5, -0.5, -0.25}, {0.5, -0.5, 0.25}, {0.5, 0.5, 0}, {0.5, 0.5, -0.25}, {0.5, 0.5, 0.25}, {-0.5, 0.5, 0}, {-0.5, 0.5, -0.25}, {-0.5, 0.5, 0.25}, {0, 0, -0.5}, {0, -0.25, -0.5}, {-0.25, 0, -0.5}, {0, 0.25, -0.5}, {0.25, 0, -0.5}, {0, -0.5, 0}, {0, -0.5, -0.25}, {-0.25, -0.5, 0}, {0, -0.5, 0.25}, {0.25, -0.5, 0}, {0.5, 0, 0}, {0.5, 0, -0.25}, {0.5, -0.25, 0}, {0.5, 0, 0.25}, {0.5, 0.25, 0}, {0, 0.5, 0}, {-0.25, 0.5, 0}, {0, 0.5, -0.25}, {0, 0.5, 0.25}, {0.25, 0.5, 0}, {-0.5, 0, 0}, {-0.5, -0.25, 0}, {-0.5, 0, -0.25}, {-0.5, 0, 0.25}, {-0.5, 0.25, 0}, {0, 0, 0.5}, {0, -0.25, 0.5}, {-0.25, 0, 0.5}, {0, 0.25, 0.5}, {0.25, 0, 0.5}, {0, 0, 0}, {0, 0, -0.25}, {0, -0.25, 0}, {-0.25, 0, 0}, {0, 0, 0.25}, {0, 0.25, 0}, {0.25, 0, 0}}
 ]
 
 Gradient of nodes : Array<double> [
  + id             : grad_coord_on_quad
- + size           : 64
+ + size           : 216
  + nb_component   : 9
- + allocated size : 64
- + memory size    : 4.50KiByte
- + values         : {{1, 4.16334e-16, 5.27356e-16, 3.33067e-16, 1, -2.77556e-16, 1.11022e-16, 1.11022e-16, 1}, {1, -4.16334e-17, -3.33067e-16, -6.93889e-17, 1, 3.05311e-16, 8.32667e-17, 2.63678e-16, 1}, {1, -1.38778e-17, -1.11022e-16, 0, 1, -1.66533e-16, 7.77156e-16, 0, 1}, {1, -1.249e-16, 1.66533e-16, -4.16334e-17, 1, -1.38778e-16, 5.55112e-17, -5.55112e-17, 1}, {1, -2.77556e-16, -2.77556e-17, 2.22045e-16, 1, -5.55112e-17, 1.11022e-16, 2.22045e-16, 1}, {1, 1.66533e-16, -9.71445e-17, 2.22045e-16, 1, 8.32667e-17, 0, -5.55112e-17, 1}, {1, 1.11022e-16, 5.55112e-17, 4.44089e-16, 1, 1.11022e-16, -2.22045e-16, 0, 1}, {1, -5.55112e-17, 0, -5.55112e-17, 1, -8.32667e-17, -1.66533e-16, -5.55112e-17, 1}, {1, -3.33067e-16, -2.77556e-17, -5.55112e-17, 1, 0, -1.11022e-16, 5.55112e-16, 1}, {1, -1.80411e-16, 0, 1.38778e-17, 1, -2.08167e-16, 1.11022e-16, 3.19189e-16, 1}, {1, -4.16334e-17, 5.55112e-17, 1.11022e-16, 1, -1.11022e-16, 0, 1.11022e-16, 1}, {1, 0, -2.77556e-17, -1.38778e-17, 1, -6.93889e-17, -1.11022e-16, 0, 1}, {1, 4.996e-16, -5.55112e-16, 0, 1, -2.22045e-16, 0, 1.66533e-16, 1}, {1, 3.88578e-16, 1.11022e-16, 5.55112e-17, 1, 4.996e-16, 5.55112e-17, -1.94289e-16, 1}, {1, 0, 2.22045e-16, -2.22045e-16, 1, 0, -2.22045e-16, 5.55112e-17, 1}, {1, -1.11022e-16, -1.11022e-16, -5.55112e-17, 1, 2.77556e-16, -2.77556e-17, -9.71445e-17, 1}, {1, -1.249e-16, 3.05311e-16, 2.77556e-16, 1, -4.996e-16, 1.11022e-16, 1.11022e-16, 1}, {1, -2.77556e-17, -4.85723e-16, -6.93889e-17, 1, 4.02456e-16, 0, -2.22045e-16, 1}, {1, 9.71445e-17, -3.33067e-16, -4.996e-16, 1, -2.77556e-16, 2.22045e-16, 2.22045e-16, 1}, {1, -3.88578e-16, -5.55112e-17, -1.249e-16, 1, -5.55112e-17, -1.94289e-16, -1.80411e-16, 1}, {1, -1.66533e-16, -4.16334e-17, 6.66134e-16, 1, 0, -3.33067e-16, 1.11022e-16, 1}, {1, 0, 0, 1.11022e-16, 1, -2.77556e-17, -5.55112e-17, 5.55112e-17, 1}, {1, 4.44089e-16, 5.55112e-17, 2.22045e-16, 1, 1.11022e-16, -1.11022e-16, 1.66533e-16, 1}, {1, 3.33067e-16, -1.11022e-16, -5.55112e-17, 1, -5.55112e-17, -1.66533e-16, -1.66533e-16, 1}, {1, -1.11022e-16, 5.55112e-17, 1.66533e-16, 1, -1.11022e-16, 3.33067e-16, 2.22045e-16, 1}, {1, -4.16334e-17, 0, 8.32667e-17, 1, -1.38778e-17, 0, -4.16334e-17, 1}, {1, 6.93889e-17, 2.77556e-17, 1.11022e-16, 1, -1.11022e-16, 1.11022e-16, -3.88578e-16, 1}, {1, 3.19189e-16, -8.32667e-17, -6.93889e-17, 1, 5.55112e-17, -2.77556e-17, 1.38778e-17, 1}, {1, -1.11022e-16, 1.11022e-16, 0, 1, -4.44089e-16, -2.22045e-16, 0, 1}, {1, -1.66533e-16, 1.11022e-16, -5.55112e-17, 1, -3.33067e-16, -1.38778e-16, -4.16334e-17, 1}, {1, 0, 2.22045e-16, 0, 1, 2.22045e-16, 1.11022e-16, 1.11022e-16, 1}, {1, 0, -4.44089e-16, -1.66533e-16, 1, 1.11022e-16, -1.38778e-16, -3.46945e-16, 1}, {1, 8.32667e-17, 3.19189e-16, 1.38778e-17, 1, -4.996e-16, -8.32667e-17, 3.88578e-16, 1}, {1, -2.91434e-16, -2.91434e-16, -4.02456e-16, 1, 1.80411e-16, -1.94289e-16, -2.498e-16, 1}, {1, -9.71445e-17, -1.66533e-16, 1.52656e-16, 1, 0, 5.55112e-17, 1.11022e-16, 1}, {1, 0, -1.66533e-16, 3.19189e-16, 1, 2.08167e-16, 0, 1.38778e-17, 1}, {1, 3.33067e-16, -1.80411e-16, 1.66533e-16, 1, 1.66533e-16, -4.16334e-17, 1.11022e-16, 1}, {1, 1.66533e-16, 1.38778e-17, 1.66533e-16, 1, -4.16334e-17, -2.63678e-16, 1.249e-16, 1}, {1, -1.11022e-16, -1.11022e-16, 5.55112e-17, 1, 5.55112e-17, -1.11022e-16, 5.55112e-17, 1}, {1, 0, -5.55112e-17, 3.33067e-16, 1, -2.22045e-16, 0, 4.16334e-17, 1}, {1, 1.80411e-16, 1.11022e-16, 1.38778e-17, 1, -2.22045e-16, 6.93889e-17, 6.66134e-16, 1}, {1, 1.249e-16, 0, -1.66533e-16, 1, -1.249e-16, 1.38778e-17, 2.08167e-16, 1}, {1, -4.16334e-17, 0, 1.249e-16, 1, -5.55112e-17, 1.66533e-16, 2.77556e-16, 1}, {1, 2.77556e-17, -8.32667e-17, 4.16334e-16, 1, -8.32667e-17, 1.11022e-16, -2.77556e-17, 1}, {1, 2.22045e-16, 0, 0, 1, -2.22045e-16, 0, 5.55112e-17, 1}, {1, 1.11022e-16, 2.22045e-16, 1.66533e-16, 1, -4.44089e-16, -1.66533e-16, -2.77556e-16, 1}, {1, -5.55112e-17, 3.33067e-16, 1.11022e-16, 1, 2.22045e-16, 0, -5.55112e-17, 1}, {1, 5.55112e-17, -1.11022e-16, 5.55112e-17, 1, 4.44089e-16, 2.22045e-16, 1.38778e-17, 1}, {1, 0, 1.66533e-16, 5.55112e-17, 1, -2.22045e-16, -1.94289e-16, 2.22045e-16, 1}, {1, -8.32667e-17, -1.80411e-16, -2.08167e-16, 1, 4.85723e-16, 3.88578e-16, -1.11022e-16, 1}, {1, -5.55112e-17, 5.55112e-17, 8.32667e-17, 1, -5.55112e-17, 5.55112e-17, 1.11022e-16, 1}, {1, 1.94289e-16, 0, 2.77556e-16, 1, -2.77556e-17, -5.55112e-17, -3.05311e-16, 1}, {1, -5.55112e-17, -2.35922e-16, -5.55112e-17, 1, 5.55112e-17, 4.16334e-17, -5.55112e-17, 1}, {1, 0, -2.77556e-17, -3.88578e-16, 1, 2.77556e-17, -3.46945e-16, 4.16334e-17, 1}, {1, 2.22045e-16, -5.55112e-17, 0, 1, 0, 0, 1.66533e-16, 1}, {1, 5.55112e-17, 5.55112e-17, -3.33067e-16, 1, 0, 3.88578e-16, -3.60822e-16, 1}, {1, -1.94289e-16, -8.32667e-17, 9.71445e-17, 1, 0, 9.71445e-17, 1.66533e-16, 1}, {1, -4.16334e-17, 0, -2.35922e-16, 1, -1.66533e-16, 5.55112e-16, -2.77556e-17, 1}, {1, -4.44089e-16, 0, -4.16334e-17, 1, -1.11022e-16, 5.55112e-17, -1.11022e-16, 1}, {1, -6.93889e-17, 8.32667e-17, -9.71445e-17, 1, 1.38778e-17, -2.77556e-16, -8.32667e-17, 1}, {1, -1.66533e-16, -7.77156e-16, 1.11022e-16, 1, -2.22045e-16, -5.55112e-17, 0, 1}, {1, 0, 1.11022e-16, 5.55112e-17, 1, 1.11022e-16, -5.82867e-16, 0, 1}, {1, 2.22045e-16, 2.22045e-16, 0, 1, 2.22045e-16, 0, 2.22045e-16, 1}, {1, 0, 0, 2.77556e-16, 1, 1.11022e-16, 2.22045e-16, -2.77556e-16, 1}}
+ + allocated size : 216
+ + memory size    : 15.19KiByte
+ + values         : {{1, 5.41234e-16, 8.43076e-16, 9.4369e-16, 1, 0, 1.66533e-16, 1.66533e-16, 1}, {1, -1.56125e-16, -1.66533e-16, -1.11022e-16, 1, -3.60822e-16, -7.77156e-16, -6.93889e-16, 1}, {1, -7.59809e-16, -8.11851e-16, -2.08167e-17, 1, -3.1572e-16, -4.85723e-17, 5.30825e-16, 1}, {1, -3.46945e-16, -2.498e-16, -1.55155e-16, 1, -1.11022e-16, -4.44089e-16, -5.55112e-16, 1}, {1, -9.71445e-17, -1.38778e-16, -9.67996e-17, 1, -2.77556e-17, 5.55112e-17, 0, 1}, {1, -9.71445e-17, -2.498e-16, 1.01541e-17, 1, -3.81639e-17, -6.93889e-17, -6.93889e-17, 1}, {1, -6.93889e-17, -5.27356e-16, -6.10623e-16, 1, 2.77556e-17, 3.33067e-16, 0, 1}, {1, 1.73472e-17, -2.77556e-17, -8.32667e-17, 1, -3.60822e-16, -8.32667e-17, 4.16334e-17, 1}, {1, -7.97973e-17, 1.38778e-16, 5.55112e-17, 1, -4.51028e-16, 6.93889e-17, -6.93889e-18, 1}, {1, 2.91434e-16, -2.22045e-16, 0, 1, -1.11022e-16, 1.11022e-16, 1.94289e-16, 1}, {1, 1.52656e-16, 5.55112e-17, 2.22045e-16, 1, 0, 2.77556e-17, -8.32667e-17, 1}, {1, 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2.22045e-16, 1.11022e-16, 1}, {1, 5.13478e-16, 3.60822e-16, 6.93889e-17, 1, -7.28584e-17, 6.10623e-16, 1.45717e-16, 1}, {1, 4.85723e-17, 2.77556e-17, 4.16334e-17, 1, -3.05311e-16, 2.77556e-17, -8.32667e-17, 1}, {1, -1.73472e-17, 2.77556e-17, 1.04083e-16, 1, -3.60822e-16, 2.22045e-16, -6.93889e-17, 1}, {1, -1.73472e-17, 9.71445e-16, -3.1572e-16, 1, -2.87964e-16, -3.88578e-16, -7.63278e-17, 1}, {1, 4.30211e-16, -1.11022e-16, 5.55112e-17, 1, 1.66533e-16, 6.93889e-18, -2.77556e-17, 1}, {1, -1.52656e-16, -5.55112e-17, 2.77556e-17, 1, 0, 2.77556e-17, -1.38778e-16, 1}, {1, -2.91434e-16, 1.66533e-16, -2.498e-16, 1, -2.01228e-16, 8.32667e-17, -1.14492e-16, 1}, {1, 0, 5.55112e-17, 0, 1, 0, -1.38778e-17, 1.11022e-16, 1}, {1, 0, -5.55112e-17, 0, 1, 0, 5.55112e-17, 0, 1}, {1, -1.66533e-16, -5.55112e-17, -4.16334e-17, 1, 0, -5.55112e-17, 0, 1}, {1, 1.38778e-17, 1.66533e-16, 2.77556e-17, 1, -1.66533e-16, 0, 2.77556e-17, 1}, {1, -2.77556e-17, -1.11022e-16, 3.33067e-16, 1, -2.22045e-16, 1.11022e-16, 0, 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-2.35922e-16, 4.57967e-16, 1}, {1, 2.94903e-16, 0, 5.20417e-17, 1, 1.38778e-17, -3.1572e-16, -6.07153e-16, 1}, {1, -2.498e-16, -5.55112e-17, -3.46945e-18, 1, 3.85053e-17, 0, -2.22045e-16, 1}, {1, -1.38778e-17, 0, 0, 1, 0, 2.77556e-17, -1.38778e-16, 1}, {1, 2.22045e-16, 0, 0, 1, 0, -2.498e-16, 1.11022e-16, 1}, {1, 4.85723e-17, -4.16334e-17, 2.77556e-17, 1, 0, -5.55112e-17, 2.77556e-17, 1}, {1, -1.04083e-17, 0, -2.77556e-16, 1, 0, 2.22045e-16, 4.16334e-17, 1}, {1, 5.55112e-17, 2.08167e-17, -1.17961e-16, 1, 2.77556e-17, -1.38778e-16, 4.51028e-17, 1}, {1, 4.16334e-16, 2.77556e-17, 0, 1, -6.66134e-16, 3.46945e-18, -8.32667e-17, 1}, {1, 6.93889e-17, -8.32667e-17, -1.66533e-16, 1, 1.11022e-16, -4.85723e-17, 2.22045e-16, 1}, {1, 4.71845e-16, -2.22045e-16, -1.66533e-16, 1, 0, 2.25514e-16, -7.97973e-17, 1}, {1, 8.32667e-17, 0, 0, 1, 0, 1.38778e-17, 0, 1}, {1, 0, 0, 0, 1, 0, -5.55112e-17, -1.38778e-16, 1}, {1, 0, -2.22045e-16, 0, 1, 0, 5.55112e-17, 0, 1}, {1, 1.38778e-17, 2.77556e-17, 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1.38778e-16, 1.80411e-16, 8.32667e-17, 1}, {1, 7.28584e-17, 3.22659e-16, 3.46945e-16, 1, -5.23886e-16, 1.66533e-16, 5.55112e-17, 1}, {1, -2.91434e-16, 2.498e-16, 1.73472e-17, 1, 5.55112e-17, 8.32667e-17, 3.33067e-16, 1}, {1, -8.32667e-17, 1.38778e-16, -8.32667e-17, 1, 1.11022e-16, -2.77556e-16, -2.77556e-16, 1}, {1, -1.11022e-16, 1.38778e-16, -6.93889e-17, 1, 7.28584e-17, 3.60822e-16, 4.64906e-16, 1}, {1, 6.93889e-18, 8.32667e-17, -4.85723e-17, 1, 2.77556e-16, -2.77556e-17, 0, 1}, {1, -6.93889e-17, 8.32667e-17, -6.93889e-17, 1, 3.60822e-16, 4.996e-16, 5.27356e-16, 1}, {1, -3.67761e-16, 8.88178e-16, 5.55112e-17, 1, -1.59595e-16, -2.498e-16, -2.94903e-16, 1}, {1, -1.38778e-17, -2.22045e-16, 0, 1, 1.11022e-16, 0, 0, 1}, {1, 0, -2.77556e-17, 2.77556e-17, 1, -1.38778e-16, 0, 0, 1}, {1, 5.55112e-17, 2.22045e-16, 6.38378e-16, 1, -1.17961e-16, 2.08167e-17, 6.93889e-18, 1}, {1, 0, 2.77556e-17, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, -2.77556e-17, 0, 0, 1}, {1, 5.55112e-17, 2.77556e-17, 4.16334e-17, 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-2.22045e-16, 2.42861e-17, 1}, {1, -2.77556e-17, -2.77556e-17, -9.02056e-17, 1, 0, 9.36751e-17, -2.77556e-17, 1}, {1, 0, 0, 1.38778e-17, 1, 1.11022e-16, -2.35922e-16, 8.32667e-17, 1}, {1, 6.93889e-17, 3.46945e-17, 3.53884e-16, 1, 4.16334e-17, 2.46331e-16, 7.63278e-17, 1}, {1, 2.77556e-16, 0, 3.46945e-17, 1, 1.52147e-17, 6.93889e-17, 2.22045e-16, 1}, {1, 0, 0, 1.38778e-17, 1, -2.71516e-18, 1.38778e-16, 2.77556e-17, 1}, {1, -2.498e-16, 0, -4.51028e-17, 1, 3.22206e-17, -4.85723e-16, -2.35922e-16, 1}, {1, 1.17961e-16, -4.16334e-17, -5.55112e-17, 1, -5.55112e-17, 5.55112e-17, -1.38778e-16, 1}, {1, 0, 0, -1.11022e-16, 1, 0, 3.33067e-16, -2.77556e-16, 1}, {1, -3.26128e-16, 6.93889e-17, -7.63278e-17, 1, -6.93889e-18, 1.94289e-16, -9.02056e-17, 1}, {1, -1.38778e-17, 2.498e-16, 0, 1, 2.22045e-16, 3.46945e-17, 2.77556e-17, 1}, {1, 0, 0, -1.94289e-16, 1, 0, -1.11022e-16, 1.38778e-17, 1}, {1, -5.55112e-17, -2.77556e-17, -4.85723e-16, 1, -1.38778e-16, -2.77556e-17, -3.46945e-18, 1}, {1, 5.55112e-17, 0, 2.77556e-17, 1, 6.93889e-17, 2.77556e-17, 0, 1}, {1, 0, 0, 2.77556e-17, 1, 1.38778e-17, 1.38778e-16, -5.55112e-17, 1}, {1, 1.66533e-16, 1.11022e-16, -6.93889e-17, 1, -9.71445e-17, -2.63678e-16, -4.85723e-17, 1}, {1, 1.38778e-16, -1.66533e-16, 4.16334e-17, 1, 0, 2.77556e-17, -1.11022e-16, 1}, {1, 0, 0, 2.77556e-17, 1, 0, 0, 5.55112e-17, 1}, {1, 1.66533e-16, 1.11022e-16, 3.60822e-16, 1, 8.32667e-17, -2.22045e-16, -9.36751e-17, 1}, {1, -2.77556e-17, 2.22045e-16, 5.55112e-17, 1, 8.88178e-16, -6.93889e-18, 8.32667e-17, 1}, {1, 0, 0, -1.11022e-16, 1, 4.44089e-16, 1.38778e-17, 6.93889e-17, 1}, {1, 2.77556e-17, 3.88578e-16, -5.82867e-16, 1, -2.22045e-16, -9.29812e-16, -2.08167e-17, 1}, {1, 5.55112e-17, 0, 0, 1, 6.12002e-17, 2.77556e-17, 0, 1}, {1, 0, 0, 0, 1, 4.19782e-17, 2.77556e-17, -2.77556e-17, 1}, {1, -2.77556e-16, -1.11022e-16, -1.11022e-16, 1, -4.98221e-17, 2.63678e-16, -1.80411e-16, 1}, {1, 2.22045e-16, -4.44089e-16, 2.77556e-17, 1, -8.88178e-16, 8.32667e-17, -1.11022e-16, 1}, {1, 0, 0, -1.11022e-16, 1, -4.44089e-16, 0, -1.249e-16, 1}, {1, 2.77556e-16, 1.11022e-16, -1.66533e-16, 1, -3.33067e-16, 5.55112e-17, 7.28584e-17, 1}}
 ]
 
diff --git a/test/test_fe_engine/test_integrate_hexahedron_20.verified b/test/test_fe_engine/test_integrate_hexahedron_20.verified
index 93df77dfe..b75566bbc 100644
--- a/test/test_fe_engine/test_integrate_hexahedron_20.verified
+++ b/test/test_fe_engine/test_integrate_hexahedron_20.verified
@@ -1,20 +1,20 @@
 Epsilon : 3e-13
 Val on quads : Array<double> [
  + id             : val_on_quad
- + size           : 64
+ + size           : 216
  + nb_component   : 2
- + allocated size : 64
- + memory size    : 1.00KiByte
- + values         : {{1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}}
+ + allocated size : 216
+ + memory size    : 3.38KiByte
+ + values         : {{1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}}
 ]
 
 Integral on elements : Array<double> [
  + id             : int_val_on_elem
  + size           : 8
  + nb_component   : 2
  + allocated size : 8
  + memory size    : 128.00Byte
  + values         : {{0.125, 0.25}, {0.125, 0.25}, {0.125, 0.25}, {0.125, 0.25}, {0.125, 0.25}, {0.125, 0.25}, {0.125, 0.25}, {0.125, 0.25}}
 ]
 
 integral on the mesh of 1 is 1 and of 2 is 2
diff --git a/test/test_fe_engine/test_interpolate_hexahedron_20.verified b/test/test_fe_engine/test_interpolate_hexahedron_20.verified
index 71acb607f..e72db35f8 100644
--- a/test/test_fe_engine/test_interpolate_hexahedron_20.verified
+++ b/test/test_fe_engine/test_interpolate_hexahedron_20.verified
@@ -1,37 +1,37 @@
 Epsilon : 3e-13
 Interpolation of array : Array<double> [
  + id             : const_val
  + size           : 81
  + nb_component   : 2
  + allocated size : 81
  + memory size    : 1.27KiByte
  + values         : {{1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}}
 ]
 
 Gives on quads : Array<double> [
  + id             : val_on_quad
- + size           : 64
+ + size           : 216
  + nb_component   : 2
- + allocated size : 64
- + memory size    : 1.00KiByte
- + values         : {{1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}}
+ + allocated size : 216
+ + memory size    : 3.38KiByte
+ + values         : {{1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}, {1, 2}}
 ]
 
 Interpolations of node coordinates : Array<double> [
  + id             : mesh:coordinates
  + size           : 81
  + nb_component   : 3
  + allocated size : 2000
  + memory size    : 46.88KiByte
  + values         : {{-0.5, -0.5, -0.5}, {0.5, -0.5, -0.5}, {-0.5, 0.5, -0.5}, {0.5, 0.5, -0.5}, {-0.5, -0.5, 0.5}, {0.5, -0.5, 0.5}, {0.5, 0.5, 0.5}, {-0.5, 0.5, 0.5}, {0, -0.5, -0.5}, {-0.25, -0.5, -0.5}, {0.25, -0.5, -0.5}, {0, 0.5, -0.5}, {-0.25, 0.5, -0.5}, {0.25, 0.5, -0.5}, {-0.5, 0, -0.5}, {-0.5, -0.25, -0.5}, {-0.5, 0.25, -0.5}, {0.5, 0, -0.5}, {0.5, -0.25, -0.5}, {0.5, 0.25, -0.5}, {0, -0.5, 0.5}, {-0.25, -0.5, 0.5}, {0.25, -0.5, 0.5}, {0.5, 0, 0.5}, {0.5, -0.25, 0.5}, {0.5, 0.25, 0.5}, {0, 0.5, 0.5}, {0.25, 0.5, 0.5}, {-0.25, 0.5, 0.5}, {-0.5, 0, 0.5}, {-0.5, 0.25, 0.5}, {-0.5, -0.25, 0.5}, {-0.5, -0.5, 0}, {-0.5, -0.5, -0.25}, {-0.5, -0.5, 0.25}, {0.5, -0.5, 0}, {0.5, -0.5, -0.25}, {0.5, -0.5, 0.25}, {0.5, 0.5, 0}, {0.5, 0.5, -0.25}, {0.5, 0.5, 0.25}, {-0.5, 0.5, 0}, {-0.5, 0.5, -0.25}, {-0.5, 0.5, 0.25}, {0, 0, -0.5}, {0, -0.25, -0.5}, {-0.25, 0, -0.5}, {0, 0.25, -0.5}, {0.25, 0, -0.5}, {0, -0.5, 0}, {0, -0.5, -0.25}, {-0.25, -0.5, 0}, {0, -0.5, 0.25}, {0.25, -0.5, 0}, {0.5, 0, 0}, {0.5, 0, -0.25}, {0.5, -0.25, 0}, {0.5, 0, 0.25}, {0.5, 0.25, 0}, {0, 0.5, 0}, {-0.25, 0.5, 0}, {0, 0.5, -0.25}, {0, 0.5, 0.25}, {0.25, 0.5, 0}, {-0.5, 0, 0}, {-0.5, -0.25, 0}, {-0.5, 0, -0.25}, {-0.5, 0, 0.25}, {-0.5, 0.25, 0}, {0, 0, 0.5}, {0, -0.25, 0.5}, {-0.25, 0, 0.5}, {0, 0.25, 0.5}, {0.25, 0, 0.5}, {0, 0, 0}, {0, 0, -0.25}, {0, -0.25, 0}, {-0.25, 0, 0}, {0, 0, 0.25}, {0, 0.25, 0}, {0.25, 0, 0}}
 ]
 
 Gives : Array<double> [
  + id             : coord_on_quad
- + size           : 64
+ + size           : 216
  + nb_component   : 3
- + allocated size : 64
- + memory size    : 1.50KiByte
- + values         : {{-0.394338, -0.394338, -0.394338}, {-0.105662, -0.394338, -0.394338}, {-0.394338, -0.105662, -0.394338}, {-0.105662, -0.105662, -0.394338}, {-0.394338, -0.394338, -0.105662}, {-0.105662, -0.394338, -0.105662}, {-0.394338, -0.105662, -0.105662}, {-0.105662, -0.105662, -0.105662}, {-0.394338, -0.394338, 0.105662}, {-0.105662, -0.394338, 0.105662}, {-0.394338, -0.105662, 0.105662}, {-0.105662, -0.105662, 0.105662}, {-0.394338, -0.394338, 0.394338}, {-0.105662, -0.394338, 0.394338}, {-0.394338, -0.105662, 0.394338}, {-0.105662, -0.105662, 0.394338}, {-0.394338, 0.105662, -0.394338}, {-0.105662, 0.105662, -0.394338}, {-0.394338, 0.394338, -0.394338}, {-0.105662, 0.394338, -0.394338}, {-0.394338, 0.105662, -0.105662}, {-0.105662, 0.105662, -0.105662}, {-0.394338, 0.394338, -0.105662}, {-0.105662, 0.394338, -0.105662}, {-0.394338, 0.105662, 0.105662}, {-0.105662, 0.105662, 0.105662}, {-0.394338, 0.394338, 0.105662}, {-0.105662, 0.394338, 0.105662}, {-0.394338, 0.105662, 0.394338}, {-0.105662, 0.105662, 0.394338}, {-0.394338, 0.394338, 0.394338}, {-0.105662, 0.394338, 0.394338}, {0.105662, -0.394338, -0.394338}, {0.394338, -0.394338, -0.394338}, {0.105662, -0.105662, -0.394338}, {0.394338, -0.105662, -0.394338}, {0.105662, -0.394338, -0.105662}, {0.394338, -0.394338, -0.105662}, {0.105662, -0.105662, -0.105662}, {0.394338, -0.105662, -0.105662}, {0.105662, -0.394338, 0.105662}, {0.394338, -0.394338, 0.105662}, {0.105662, -0.105662, 0.105662}, {0.394338, -0.105662, 0.105662}, {0.105662, -0.394338, 0.394338}, {0.394338, -0.394338, 0.394338}, {0.105662, -0.105662, 0.394338}, {0.394338, -0.105662, 0.394338}, {0.105662, 0.105662, -0.394338}, {0.394338, 0.105662, -0.394338}, {0.105662, 0.394338, -0.394338}, {0.394338, 0.394338, -0.394338}, {0.105662, 0.105662, -0.105662}, {0.394338, 0.105662, -0.105662}, {0.105662, 0.394338, -0.105662}, {0.394338, 0.394338, -0.105662}, {0.105662, 0.105662, 0.105662}, {0.394338, 0.105662, 0.105662}, {0.105662, 0.394338, 0.105662}, {0.394338, 0.394338, 0.105662}, {0.105662, 0.105662, 0.394338}, {0.394338, 0.105662, 0.394338}, {0.105662, 0.394338, 0.394338}, {0.394338, 0.394338, 0.394338}}
+ + allocated size : 216
+ + memory size    : 5.06KiByte
+ + values         : {{-0.443649, -0.443649, -0.443649}, {-0.25, -0.443649, -0.443649}, {-0.0563508, -0.443649, -0.443649}, {-0.443649, -0.25, -0.443649}, {-0.25, -0.25, -0.443649}, {-0.0563508, -0.25, -0.443649}, {-0.443649, -0.0563508, -0.443649}, {-0.25, -0.0563508, -0.443649}, {-0.0563508, -0.0563508, -0.443649}, {-0.443649, -0.443649, -0.25}, {-0.25, -0.443649, -0.25}, {-0.0563508, -0.443649, -0.25}, {-0.443649, -0.25, -0.25}, {-0.25, -0.25, -0.25}, {-0.0563508, -0.25, -0.25}, {-0.443649, -0.0563508, -0.25}, {-0.25, -0.0563508, -0.25}, {-0.0563508, -0.0563508, -0.25}, {-0.443649, -0.443649, -0.0563508}, {-0.25, -0.443649, -0.0563508}, {-0.0563508, -0.443649, -0.0563508}, {-0.443649, -0.25, -0.0563508}, {-0.25, -0.25, -0.0563508}, {-0.0563508, -0.25, -0.0563508}, {-0.443649, -0.0563508, -0.0563508}, {-0.25, -0.0563508, -0.0563508}, {-0.0563508, -0.0563508, -0.0563508}, {-0.443649, -0.443649, 0.0563508}, {-0.25, -0.443649, 0.0563508}, {-0.0563508, -0.443649, 0.0563508}, {-0.443649, 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