constraints.add_entry (dof_indices.dof_indices[1],
dof_indices.dof_indices[0],
-constraining_vector[0]/constraining_vector[1]);
-
+
if (std::fabs (constraining_vector[2]/constraining_vector[1])
> std::numeric_limits<double>::epsilon())
constraints.add_entry (dof_indices.dof_indices[1],
if (boundary_ids.find(cell->face(face_no)->boundary_indicator())
!= boundary_ids.end())
{
- const FiniteElement<dim>& fe = cell->get_fe ();
+ const FiniteElement<dim>& fe = cell->get_fe ();
typename DH<dim,spacedim>::face_iterator face = cell->face(face_no);
// get the indices of the
// dofs on this cell...
- face_dofs.resize (fe.dofs_per_face);
+ face_dofs.resize (fe.dofs_per_face);
face->get_dof_indices (face_dofs, cell->active_fe_index());
// ...and the normal
Assert (vector_dofs.dof_indices[d] < dof_handler.n_dofs(),
ExcInternalError());
- // and enter the
+ // we need the normal
+ // vector on this face. we
+ // know that it is a vector
+ // of length 1 but at least
+ // with higher order
+ // mappings it isn't always
+ // possible to guarantee
+ // that each component is
+ // exact up to zero
+ // tolerance. in
+ // particular, as shown in
+ // the deal.II/no_flux_06
+ // test, if we just take
+ // the normal vector as
+ // given by the fe_values
+ // object, we can get
+ // entries in the normal
+ // vectors of the unit cube
+ // that have entries up to
+ // several times 1e-14.
+ //
+ // the problem with this is
+ // that this later yields
+ // constraints that are
+ // circular (e.g., in the
+ // testcase, we get
+ // constraints of the form
+ //
+ // x22 = 2.93099e-14*x21 + 2.93099e-14*x23
+ // x21 = -2.93099e-14*x22 + 2.93099e-14*x21
+ //
+ // in both of these
+ // constraints, the small
+ // numbers should be zero
+ // and the constraints
+ // should simply be
+ // x22 = x21 = 0
+ //
+ // to achieve this, we
+ // utilize that we know
+ // that the normal vector
+ // has (or should have)
+ // length 1 and that we can
+ // simply set small
+ // elements to zero
+ // (without having to check
+ // that they are small
+ // *relative to something
+ // else*). we do this and
+ // then normalize the
+ // length of the vector
+ // back to one, just to be
+ // on the safe side
+ Point<dim> normal_vector = fe_values.normal_vector(i);
+ Assert (std::fabs(normal_vector.norm() - 1) < 1e-14,
+ ExcInternalError());
+ for (unsigned int d=0; d<dim; ++d)
+ if (std::fabs(normal_vector[d]) < 1e-13)
+ normal_vector[d] = 0;
+ normal_vector /= normal_vector.norm();
+
+ // now enter the
// (dofs,(normal_vector,cell))
// entry into the map
dof_to_normals_map
.insert (std::make_pair (vector_dofs,
- std::make_pair (fe_values.normal_vector(i),
+ std::make_pair (normal_vector,
cell)));
}
}
// then construct constraints
// from this:
const internal::VectorTools::VectorDoFTuple<dim> &
- dof_indices = same_dof_range[0]->first;
+ dof_indices = same_dof_range[0]->first;
internal::VectorTools::add_constraint (dof_indices, normal,
constraints);
#include <deal.II/fe/fe_system.h>
#include <deal.II/fe/mapping_q.h>
#include <deal.II/numerics/vectors.h>
+#include <deal.II/numerics/vectors.templates.h>
#include <fstream>
void test_hyper_cube()
{
Triangulation<dim> tr;
- GridGenerator::hyper_cube(tr);
+ GridGenerator::hyper_rectangle(tr, Point<dim>(), Point<dim>(1,1,1), true);
FESystem<dim> fe (FE_Q<dim>(2), dim);
<< std::endl;
std::set<unsigned char> boundary_ids;
- boundary_ids.insert (0);
-
+ boundary_ids.insert (1);
+ boundary_ids.insert (3);
+
ConstraintMatrix cm;
const MappingQ<dim> mapping(4);
VectorTools::compute_no_normal_flux_constraints (dof, 0,
-DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=0
- 0 = 0
- 4 = 0
- 12 = 0
- 30 = 0
- 36 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=1
- 0 = 0
- 4 = 0
- 12 = 0
- 22 = 0
- 24 = 0
- 28 = 0
- 30 = 0
- 36 = 0
- 44 = 0
- 48 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=2
- 0 = 0
- 1 = 0
- 3 = 0
- 4 = 0
- 9 = 0
- 12 = 0
- 19 = 0
- 22 = 0
- 23 = 0
- 24 = 0
- 28 = 0
- 30 = 0
- 36 = 0
- 44 = 0
- 48 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(1)^2], case=3
- 0 = 0
- 1 = 0
+DEAL::FE=FESystem<3>[FE_Q<3>(2)^3]
3 = 0
- 4 = 0
+ 7 = 0
9 = 0
- 12 = 0
+ 10 = 0
+ 15 = 0
19 = 0
+ 21 = 0
22 = 0
- 23 = 0
- 24 = 0
- 28 = 0
- 30 = 0
- 36 = 0
- 37 = 0
- 39 = 0
- 41 = 0
- 44 = 0
- 47 = 0
- 48 = 0
- 49 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=0
- 0 = 0
- 4 = 0
- 8 = 0
- 30 = 0
- 34 = 0
- 90 = 0
- 94 = 0
- 110 = 0
- 114 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=1
- 0 = 0
- 4 = 0
- 8 = 0
- 30 = 0
- 34 = 0
- 62 = 0
- 64 = 0
- 66 = 0
- 82 = 0
- 84 = 0
- 90 = 0
- 94 = 0
- 110 = 0
- 114 = 0
- 138 = 0
- 140 = 0
- 154 = 0
- 156 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=2
- 0 = 0
- 1 = 0
- 3 = 0
- 4 = 0
- 8 = 0
- 13 = 0
- 19 = 0
- 25 = 0
- 30 = 0
- 34 = 0
- 51 = 0
- 57 = 0
- 62 = 0
- 63 = 0
- 64 = 0
- 66 = 0
- 69 = 0
- 82 = 0
- 84 = 0
- 90 = 0
- 94 = 0
- 110 = 0
- 114 = 0
- 138 = 0
- 140 = 0
- 154 = 0
- 156 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(2)^2], case=3
- 0 = 0
- 1 = 0
- 3 = 0
- 4 = 0
- 8 = 0
- 13 = 0
- 19 = 0
- 25 = 0
- 30 = 0
+ 27 = 0
34 = 0
+ 39 = 0
+ 46 = 0
51 = 0
- 57 = 0
- 62 = 0
- 63 = 0
- 64 = 0
- 66 = 0
- 69 = 0
- 82 = 0
- 84 = 0
- 90 = 0
- 94 = 0
- 110 = 0
- 111 = 0
- 113 = 0
- 114 = 0
- 119 = 0
- 123 = 0
- 127 = 0
- 138 = 0
- 140 = 0
- 147 = 0
- 151 = 0
- 154 = 0
- 155 = 0
- 156 = 0
- 159 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=0
- 0 = 0
- 4 = 0
- 8 = 0
- 9 = 0
- 56 = 0
- 60 = 0
- 61 = 0
- 182 = 0
- 186 = 0
- 187 = 0
- 224 = 0
- 228 = 0
- 229 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=1
- 0 = 0
- 4 = 0
- 8 = 0
- 9 = 0
- 56 = 0
- 60 = 0
- 61 = 0
- 122 = 0
- 124 = 0
- 126 = 0
- 127 = 0
- 164 = 0
- 166 = 0
- 167 = 0
- 182 = 0
- 186 = 0
- 187 = 0
- 224 = 0
- 228 = 0
- 229 = 0
- 284 = 0
- 286 = 0
- 287 = 0
- 320 = 0
- 322 = 0
- 323 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=2
- 0 = 0
- 1 = 0
- 3 = 0
- 4 = 0
- 8 = 0
- 9 = 0
- 18 = 0
- 19 = 0
- 33 = 0
- 42 = 0
- 43 = 0
- 56 = 0
- 60 = 0
- 61 = 0
- 99 = 0
- 108 = 0
- 109 = 0
- 122 = 0
- 123 = 0
- 124 = 0
- 126 = 0
- 127 = 0
- 132 = 0
- 133 = 0
- 164 = 0
- 166 = 0
- 167 = 0
- 182 = 0
- 186 = 0
- 187 = 0
- 224 = 0
- 228 = 0
- 229 = 0
- 284 = 0
- 286 = 0
- 287 = 0
- 320 = 0
- 322 = 0
- 323 = 0
-DEAL::FE=FESystem<2>[FE_Q<2>(3)^2], case=3
- 0 = 0
- 1 = 0
- 3 = 0
- 4 = 0
- 8 = 0
- 9 = 0
- 18 = 0
- 19 = 0
- 33 = 0
- 42 = 0
- 43 = 0
- 56 = 0
- 60 = 0
- 61 = 0
- 99 = 0
- 108 = 0
- 109 = 0
- 122 = 0
- 123 = 0
- 124 = 0
- 126 = 0
- 127 = 0
- 132 = 0
- 133 = 0
- 164 = 0
- 166 = 0
- 167 = 0
- 182 = 0
- 186 = 0
- 187 = 0
- 224 = 0
- 225 = 0
- 227 = 0
- 228 = 0
- 229 = 0
- 238 = 0
- 239 = 0
- 249 = 0
- 256 = 0
- 257 = 0
- 284 = 0
- 286 = 0
- 287 = 0
- 303 = 0
- 310 = 0
- 311 = 0
- 320 = 0
- 321 = 0
- 322 = 0
- 323 = 0
- 328 = 0
- 329 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=0
- 0 = 0
- 6 = 0
- 12 = 0
- 18 = 0
- 36 = 0
- 42 = 0
- 54 = 0
- 60 = 0
- 72 = 0
- 135 = 0
- 141 = 0
- 153 = 0
- 159 = 0
- 171 = 0
- 180 = 0
- 225 = 0
- 231 = 0
- 243 = 0
- 252 = 0
- 258 = 0
- 270 = 0
- 315 = 0
- 324 = 0
- 333 = 0
- 342 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=1
- 0 = 0
- 6 = 0
- 12 = 0
- 18 = 0
- 36 = 0
- 42 = 0
- 54 = 0
- 60 = 0
- 72 = 0
- 93 = 0
- 96 = 0
- 99 = 0
- 102 = 0
- 111 = 0
- 114 = 0
- 123 = 0
- 126 = 0
- 132 = 0
- 135 = 0
- 141 = 0
- 153 = 0
- 159 = 0
- 171 = 0
- 180 = 0
- 195 = 0
- 198 = 0
- 207 = 0
- 210 = 0
- 216 = 0
- 222 = 0
- 225 = 0
- 231 = 0
- 243 = 0
- 252 = 0
- 258 = 0
- 270 = 0
- 285 = 0
- 288 = 0
- 294 = 0
- 303 = 0
- 306 = 0
- 312 = 0
- 315 = 0
- 324 = 0
- 333 = 0
- 342 = 0
- 354 = 0
- 360 = 0
- 366 = 0
- 372 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=2
- 0 = 0
- 1 = 0
- 4 = 0
- 6 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 25 = 0
- 31 = 0
- 36 = 0
- 42 = 0
- 54 = 0
- 55 = 0
- 58 = 0
- 60 = 0
- 67 = 0
- 72 = 0
- 82 = 0
- 88 = 0
- 93 = 0
- 94 = 0
- 96 = 0
- 99 = 0
- 100 = 0
- 102 = 0
- 111 = 0
- 114 = 0
- 118 = 0
- 123 = 0
- 124 = 0
- 126 = 0
- 132 = 0
- 135 = 0
- 141 = 0
- 153 = 0
- 159 = 0
- 171 = 0
- 180 = 0
- 195 = 0
- 198 = 0
- 207 = 0
- 210 = 0
- 216 = 0
- 222 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 238 = 0
- 243 = 0
- 252 = 0
- 253 = 0
- 256 = 0
- 258 = 0
- 265 = 0
- 270 = 0
- 280 = 0
- 285 = 0
- 286 = 0
- 288 = 0
- 294 = 0
- 298 = 0
- 303 = 0
- 304 = 0
- 306 = 0
- 312 = 0
- 315 = 0
- 324 = 0
- 333 = 0
- 342 = 0
- 354 = 0
- 360 = 0
- 366 = 0
- 372 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=3
- 0 = 0
- 1 = 0
- 4 = 0
- 6 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 25 = 0
- 31 = 0
- 36 = 0
- 42 = 0
- 54 = 0
- 55 = 0
- 58 = 0
- 60 = 0
- 67 = 0
- 72 = 0
- 82 = 0
- 88 = 0
- 93 = 0
- 94 = 0
- 96 = 0
- 99 = 0
- 100 = 0
- 102 = 0
- 111 = 0
- 114 = 0
- 118 = 0
- 123 = 0
- 124 = 0
- 126 = 0
- 132 = 0
- 135 = 0
- 141 = 0
- 153 = 0
- 154 = 0
- 157 = 0
- 159 = 0
- 160 = 0
- 163 = 0
- 166 = 0
- 169 = 0
- 171 = 0
- 180 = 0
- 181 = 0
- 184 = 0
- 187 = 0
- 195 = 0
- 198 = 0
- 202 = 0
- 205 = 0
- 207 = 0
- 208 = 0
- 210 = 0
- 211 = 0
- 216 = 0
- 220 = 0
- 222 = 0
- 223 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 238 = 0
- 243 = 0
- 252 = 0
- 253 = 0
- 256 = 0
- 258 = 0
- 265 = 0
- 270 = 0
- 280 = 0
- 285 = 0
- 286 = 0
- 288 = 0
- 294 = 0
- 298 = 0
- 303 = 0
- 304 = 0
- 306 = 0
- 312 = 0
- 315 = 0
- 324 = 0
- 325 = 0
- 328 = 0
- 331 = 0
- 333 = 0
- 342 = 0
- 343 = 0
- 346 = 0
- 349 = 0
- 354 = 0
- 358 = 0
- 360 = 0
- 361 = 0
- 366 = 0
- 370 = 0
- 372 = 0
- 373 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=4
- 0 = 0
- 1 = 0
- 2 = 0
- 4 = 0
- 5 = 0
- 6 = 0
- 8 = 0
- 11 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 25 = 0
- 26 = 0
- 29 = 0
- 31 = 0
- 36 = 0
- 38 = 0
- 41 = 0
- 42 = 0
- 50 = 0
- 54 = 0
- 55 = 0
- 58 = 0
- 60 = 0
- 67 = 0
- 72 = 0
- 82 = 0
- 83 = 0
- 86 = 0
- 88 = 0
- 93 = 0
- 94 = 0
- 95 = 0
- 96 = 0
- 98 = 0
- 99 = 0
- 100 = 0
- 102 = 0
- 107 = 0
- 111 = 0
- 113 = 0
- 114 = 0
- 118 = 0
- 123 = 0
- 124 = 0
- 126 = 0
- 132 = 0
- 135 = 0
- 137 = 0
- 140 = 0
- 141 = 0
- 149 = 0
- 153 = 0
- 154 = 0
- 155 = 0
- 157 = 0
- 158 = 0
- 159 = 0
- 160 = 0
- 163 = 0
- 166 = 0
- 167 = 0
- 169 = 0
- 171 = 0
- 180 = 0
- 181 = 0
- 184 = 0
- 187 = 0
- 191 = 0
- 195 = 0
- 197 = 0
- 198 = 0
- 202 = 0
- 203 = 0
- 205 = 0
- 207 = 0
- 208 = 0
- 209 = 0
- 210 = 0
- 211 = 0
- 216 = 0
- 220 = 0
- 222 = 0
- 223 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 238 = 0
- 243 = 0
- 252 = 0
- 253 = 0
- 256 = 0
- 258 = 0
- 265 = 0
- 270 = 0
- 280 = 0
- 285 = 0
- 286 = 0
- 288 = 0
- 294 = 0
- 298 = 0
- 303 = 0
- 304 = 0
- 306 = 0
- 312 = 0
- 315 = 0
- 324 = 0
- 325 = 0
- 328 = 0
- 331 = 0
- 333 = 0
- 342 = 0
- 343 = 0
- 346 = 0
- 349 = 0
- 354 = 0
- 358 = 0
- 360 = 0
- 361 = 0
- 366 = 0
- 370 = 0
- 372 = 0
- 373 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(1)^3], case=5
- 0 = 0
- 1 = 0
- 2 = 0
- 4 = 0
- 5 = 0
- 6 = 0
- 8 = 0
- 11 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 25 = 0
- 26 = 0
- 29 = 0
- 31 = 0
- 36 = 0
- 38 = 0
- 41 = 0
- 42 = 0
- 50 = 0
- 54 = 0
55 = 0
+ 57 = 0
58 = 0
- 60 = 0
- 67 = 0
- 72 = 0
- 82 = 0
- 83 = 0
- 86 = 0
- 88 = 0
- 93 = 0
- 94 = 0
- 95 = 0
- 96 = 0
- 98 = 0
- 99 = 0
- 100 = 0
- 102 = 0
- 107 = 0
- 111 = 0
- 113 = 0
- 114 = 0
- 118 = 0
- 123 = 0
- 124 = 0
- 126 = 0
- 132 = 0
- 135 = 0
- 137 = 0
- 140 = 0
- 141 = 0
- 149 = 0
- 153 = 0
- 154 = 0
- 155 = 0
- 157 = 0
- 158 = 0
- 159 = 0
- 160 = 0
- 163 = 0
- 166 = 0
- 167 = 0
- 169 = 0
- 171 = 0
- 180 = 0
- 181 = 0
- 184 = 0
- 187 = 0
- 191 = 0
- 195 = 0
- 197 = 0
- 198 = 0
- 202 = 0
- 203 = 0
- 205 = 0
- 207 = 0
- 208 = 0
- 209 = 0
- 210 = 0
- 211 = 0
- 216 = 0
- 220 = 0
- 222 = 0
- 223 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 238 = 0
- 243 = 0
- 252 = 0
- 253 = 0
- 254 = 0
- 256 = 0
- 257 = 0
- 258 = 0
- 260 = 0
- 263 = 0
- 265 = 0
- 266 = 0
- 269 = 0
- 270 = 0
- 272 = 0
- 275 = 0
- 278 = 0
- 280 = 0
- 285 = 0
- 286 = 0
- 288 = 0
- 294 = 0
- 298 = 0
- 299 = 0
- 302 = 0
- 303 = 0
- 304 = 0
- 305 = 0
- 306 = 0
- 308 = 0
- 311 = 0
- 312 = 0
- 314 = 0
- 315 = 0
- 324 = 0
- 325 = 0
- 328 = 0
- 331 = 0
- 333 = 0
- 335 = 0
- 338 = 0
- 341 = 0
- 342 = 0
- 343 = 0
- 344 = 0
- 346 = 0
- 347 = 0
- 349 = 0
- 350 = 0
- 354 = 0
- 358 = 0
- 360 = 0
- 361 = 0
- 365 = 0
- 366 = 0
- 368 = 0
- 370 = 0
- 371 = 0
- 372 = 0
- 373 = 0
- 374 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=0
- 0 = 0
- 6 = 0
- 12 = 0
- 18 = 0
- 24 = 0
- 36 = 0
- 48 = 0
- 54 = 0
- 60 = 0
- 135 = 0
- 141 = 0
- 147 = 0
- 156 = 0
- 165 = 0
- 171 = 0
- 225 = 0
- 231 = 0
- 237 = 0
- 249 = 0
- 255 = 0
- 261 = 0
- 315 = 0
- 321 = 0
- 330 = 0
- 336 = 0
- 675 = 0
- 681 = 0
- 687 = 0
- 696 = 0
- 705 = 0
- 711 = 0
- 765 = 0
- 771 = 0
- 777 = 0
- 786 = 0
- 795 = 0
- 801 = 0
- 855 = 0
- 861 = 0
- 870 = 0
- 876 = 0
- 915 = 0
- 921 = 0
- 930 = 0
- 936 = 0
- 1215 = 0
- 1221 = 0
- 1227 = 0
- 1239 = 0
- 1245 = 0
- 1251 = 0
- 1305 = 0
- 1311 = 0
- 1320 = 0
- 1326 = 0
- 1365 = 0
- 1371 = 0
- 1377 = 0
- 1389 = 0
- 1395 = 0
- 1401 = 0
- 1455 = 0
- 1461 = 0
- 1470 = 0
- 1476 = 0
- 1755 = 0
- 1761 = 0
- 1770 = 0
- 1776 = 0
- 1815 = 0
- 1821 = 0
- 1830 = 0
- 1836 = 0
- 1875 = 0
- 1881 = 0
- 1890 = 0
- 1896 = 0
- 1935 = 0
- 1941 = 0
- 1950 = 0
- 1956 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=1
- 0 = 0
- 6 = 0
- 12 = 0
- 18 = 0
- 24 = 0
- 36 = 0
- 48 = 0
- 54 = 0
- 60 = 0
- 135 = 0
- 141 = 0
- 147 = 0
- 156 = 0
- 165 = 0
- 171 = 0
- 225 = 0
- 231 = 0
- 237 = 0
- 249 = 0
- 255 = 0
- 261 = 0
- 315 = 0
- 321 = 0
- 330 = 0
- 336 = 0
- 429 = 0
- 432 = 0
- 435 = 0
- 438 = 0
- 441 = 0
- 450 = 0
- 459 = 0
- 462 = 0
- 465 = 0
- 519 = 0
- 522 = 0
- 525 = 0
- 531 = 0
- 537 = 0
- 540 = 0
- 591 = 0
- 594 = 0
- 597 = 0
- 606 = 0
- 609 = 0
- 612 = 0
- 651 = 0
- 654 = 0
- 660 = 0
- 663 = 0
- 675 = 0
- 681 = 0
- 687 = 0
- 696 = 0
- 705 = 0
- 711 = 0
- 765 = 0
- 771 = 0
- 777 = 0
- 786 = 0
- 795 = 0
- 801 = 0
- 855 = 0
- 861 = 0
- 870 = 0
- 876 = 0
- 915 = 0
- 921 = 0
- 930 = 0
- 936 = 0
- 1011 = 0
- 1014 = 0
- 1017 = 0
- 1023 = 0
- 1029 = 0
- 1032 = 0
- 1083 = 0
- 1086 = 0
- 1089 = 0
- 1095 = 0
- 1101 = 0
- 1104 = 0
- 1143 = 0
- 1146 = 0
- 1152 = 0
- 1155 = 0
- 1191 = 0
- 1194 = 0
- 1200 = 0
- 1203 = 0
- 1215 = 0
- 1221 = 0
- 1227 = 0
- 1239 = 0
- 1245 = 0
- 1251 = 0
- 1305 = 0
- 1311 = 0
- 1320 = 0
- 1326 = 0
- 1365 = 0
- 1371 = 0
- 1377 = 0
- 1389 = 0
- 1395 = 0
- 1401 = 0
- 1455 = 0
- 1461 = 0
- 1470 = 0
- 1476 = 0
- 1551 = 0
- 1554 = 0
- 1557 = 0
- 1566 = 0
- 1569 = 0
- 1572 = 0
- 1611 = 0
- 1614 = 0
- 1620 = 0
- 1623 = 0
- 1671 = 0
- 1674 = 0
- 1677 = 0
- 1686 = 0
- 1689 = 0
- 1692 = 0
- 1731 = 0
- 1734 = 0
- 1740 = 0
- 1743 = 0
- 1755 = 0
- 1761 = 0
- 1770 = 0
- 1776 = 0
- 1815 = 0
- 1821 = 0
- 1830 = 0
- 1836 = 0
- 1875 = 0
- 1881 = 0
- 1890 = 0
- 1896 = 0
- 1935 = 0
- 1941 = 0
- 1950 = 0
- 1956 = 0
- 2019 = 0
- 2022 = 0
- 2028 = 0
- 2031 = 0
- 2067 = 0
- 2070 = 0
- 2076 = 0
- 2079 = 0
- 2115 = 0
- 2118 = 0
- 2124 = 0
- 2127 = 0
- 2163 = 0
- 2166 = 0
- 2172 = 0
- 2175 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=2
- 0 = 0
- 1 = 0
- 4 = 0
- 6 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 24 = 0
- 31 = 0
- 36 = 0
- 43 = 0
- 48 = 0
- 49 = 0
- 52 = 0
- 54 = 0
- 60 = 0
- 67 = 0
- 82 = 0
- 88 = 0
- 97 = 0
- 106 = 0
- 112 = 0
- 121 = 0
- 135 = 0
- 141 = 0
- 147 = 0
- 156 = 0
- 165 = 0
- 171 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 237 = 0
- 244 = 0
- 249 = 0
- 250 = 0
- 253 = 0
- 255 = 0
- 261 = 0
- 268 = 0
- 280 = 0
- 289 = 0
- 295 = 0
- 304 = 0
- 315 = 0
- 321 = 0
- 330 = 0
- 336 = 0
- 376 = 0
- 382 = 0
- 391 = 0
- 400 = 0
- 406 = 0
- 415 = 0
- 429 = 0
- 430 = 0
- 432 = 0
- 435 = 0
- 436 = 0
- 438 = 0
- 441 = 0
- 445 = 0
- 450 = 0
- 454 = 0
- 459 = 0
- 460 = 0
- 462 = 0
- 465 = 0
- 469 = 0
- 519 = 0
- 522 = 0
- 525 = 0
- 531 = 0
- 537 = 0
- 540 = 0
- 556 = 0
- 565 = 0
- 571 = 0
- 580 = 0
- 591 = 0
- 592 = 0
- 594 = 0
- 597 = 0
- 601 = 0
- 606 = 0
- 607 = 0
- 609 = 0
- 612 = 0
- 616 = 0
- 651 = 0
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- 660 = 0
- 663 = 0
- 675 = 0
- 681 = 0
- 687 = 0
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- 705 = 0
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- 765 = 0
- 771 = 0
- 777 = 0
- 786 = 0
- 795 = 0
- 801 = 0
- 855 = 0
- 861 = 0
- 870 = 0
- 876 = 0
- 915 = 0
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- 930 = 0
- 936 = 0
- 1011 = 0
- 1014 = 0
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- 1023 = 0
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- 1083 = 0
- 1086 = 0
- 1089 = 0
- 1095 = 0
- 1101 = 0
- 1104 = 0
- 1143 = 0
- 1146 = 0
- 1152 = 0
- 1155 = 0
- 1191 = 0
- 1194 = 0
- 1200 = 0
- 1203 = 0
- 1215 = 0
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- 1219 = 0
- 1221 = 0
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- 1270 = 0
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- 1285 = 0
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- 1305 = 0
- 1311 = 0
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- 1326 = 0
- 1365 = 0
- 1366 = 0
- 1369 = 0
- 1371 = 0
- 1377 = 0
- 1384 = 0
- 1389 = 0
- 1390 = 0
- 1393 = 0
- 1395 = 0
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- 1561 = 0
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- 1567 = 0
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- 1576 = 0
- 1611 = 0
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- 1672 = 0
- 1674 = 0
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- 1681 = 0
- 1686 = 0
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- 1689 = 0
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- 1731 = 0
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- 1815 = 0
- 1821 = 0
- 1830 = 0
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- 1875 = 0
- 1881 = 0
- 1890 = 0
- 1896 = 0
- 1935 = 0
- 1941 = 0
- 1950 = 0
- 1956 = 0
- 2019 = 0
- 2022 = 0
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- 2115 = 0
- 2118 = 0
- 2124 = 0
- 2127 = 0
- 2163 = 0
- 2166 = 0
- 2172 = 0
- 2175 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=3
- 0 = 0
- 1 = 0
- 4 = 0
- 6 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 24 = 0
- 31 = 0
- 36 = 0
- 43 = 0
- 48 = 0
- 49 = 0
- 52 = 0
- 54 = 0
- 60 = 0
- 67 = 0
- 82 = 0
- 88 = 0
- 97 = 0
- 106 = 0
- 112 = 0
- 121 = 0
- 135 = 0
- 141 = 0
- 147 = 0
- 156 = 0
- 165 = 0
- 171 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 237 = 0
- 244 = 0
- 249 = 0
- 250 = 0
- 253 = 0
- 255 = 0
- 261 = 0
- 268 = 0
- 280 = 0
- 289 = 0
- 295 = 0
- 304 = 0
- 315 = 0
- 321 = 0
- 330 = 0
- 336 = 0
- 376 = 0
- 382 = 0
- 391 = 0
- 400 = 0
- 406 = 0
- 415 = 0
- 429 = 0
- 430 = 0
- 432 = 0
- 435 = 0
- 436 = 0
- 438 = 0
- 441 = 0
- 445 = 0
- 450 = 0
- 454 = 0
- 459 = 0
- 460 = 0
- 462 = 0
- 465 = 0
- 469 = 0
- 519 = 0
- 522 = 0
- 525 = 0
- 531 = 0
- 537 = 0
- 540 = 0
- 556 = 0
- 565 = 0
- 571 = 0
- 580 = 0
- 591 = 0
- 592 = 0
- 594 = 0
- 597 = 0
- 601 = 0
- 606 = 0
- 607 = 0
- 609 = 0
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- 616 = 0
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- 777 = 0
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- 793 = 0
- 795 = 0
- 796 = 0
- 799 = 0
- 801 = 0
- 808 = 0
- 820 = 0
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- 1200 = 0
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- 1369 = 0
- 1371 = 0
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- 1390 = 0
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- 1821 = 0
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- 1830 = 0
- 1831 = 0
- 1834 = 0
- 1836 = 0
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- 1852 = 0
- 1858 = 0
- 1861 = 0
- 1867 = 0
- 1875 = 0
- 1881 = 0
- 1890 = 0
- 1896 = 0
- 1935 = 0
- 1936 = 0
- 1939 = 0
- 1941 = 0
- 1948 = 0
- 1950 = 0
- 1951 = 0
- 1954 = 0
- 1956 = 0
- 1963 = 0
- 1972 = 0
- 1978 = 0
- 1981 = 0
- 1987 = 0
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- 2164 = 0
- 2166 = 0
- 2170 = 0
- 2172 = 0
- 2173 = 0
- 2175 = 0
- 2179 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=4
- 0 = 0
- 1 = 0
- 2 = 0
- 4 = 0
- 5 = 0
- 6 = 0
- 8 = 0
- 11 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 24 = 0
- 26 = 0
- 29 = 0
- 31 = 0
- 32 = 0
- 35 = 0
- 36 = 0
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- 48 = 0
- 49 = 0
- 52 = 0
- 54 = 0
- 60 = 0
- 67 = 0
- 74 = 0
- 82 = 0
- 83 = 0
- 86 = 0
- 88 = 0
- 95 = 0
- 97 = 0
- 98 = 0
- 101 = 0
- 106 = 0
- 112 = 0
- 121 = 0
- 128 = 0
- 135 = 0
- 137 = 0
- 140 = 0
- 141 = 0
- 147 = 0
- 149 = 0
- 152 = 0
- 155 = 0
- 156 = 0
- 165 = 0
- 171 = 0
- 182 = 0
- 191 = 0
- 197 = 0
- 200 = 0
- 218 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 237 = 0
- 244 = 0
- 249 = 0
- 250 = 0
- 253 = 0
- 255 = 0
- 261 = 0
- 268 = 0
- 280 = 0
- 289 = 0
- 295 = 0
- 304 = 0
- 315 = 0
- 321 = 0
- 330 = 0
- 336 = 0
- 376 = 0
- 377 = 0
- 380 = 0
- 382 = 0
- 389 = 0
- 391 = 0
- 392 = 0
- 395 = 0
- 400 = 0
- 406 = 0
- 415 = 0
- 422 = 0
- 429 = 0
- 430 = 0
- 431 = 0
- 432 = 0
- 434 = 0
- 435 = 0
- 436 = 0
- 438 = 0
- 441 = 0
- 443 = 0
- 445 = 0
- 446 = 0
- 449 = 0
- 450 = 0
- 454 = 0
- 459 = 0
- 460 = 0
- 462 = 0
- 465 = 0
- 469 = 0
- 476 = 0
- 485 = 0
- 491 = 0
- 494 = 0
- 512 = 0
- 519 = 0
- 521 = 0
- 522 = 0
- 525 = 0
- 527 = 0
- 530 = 0
- 531 = 0
- 537 = 0
- 540 = 0
- 548 = 0
- 556 = 0
- 565 = 0
- 571 = 0
- 580 = 0
- 591 = 0
- 592 = 0
- 594 = 0
- 597 = 0
- 601 = 0
- 606 = 0
- 607 = 0
- 609 = 0
- 612 = 0
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- 680 = 0
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- 1830 = 0
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- 1861 = 0
- 1867 = 0
- 1875 = 0
- 1881 = 0
- 1890 = 0
- 1896 = 0
- 1935 = 0
- 1936 = 0
- 1939 = 0
- 1941 = 0
- 1948 = 0
- 1950 = 0
- 1951 = 0
- 1954 = 0
- 1956 = 0
- 1963 = 0
- 1972 = 0
- 1978 = 0
- 1981 = 0
- 1987 = 0
- 2019 = 0
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- 2164 = 0
- 2166 = 0
- 2170 = 0
- 2172 = 0
- 2173 = 0
- 2175 = 0
- 2179 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(2)^3], case=5
- 0 = 0
- 1 = 0
- 2 = 0
- 4 = 0
- 5 = 0
- 6 = 0
- 8 = 0
- 11 = 0
- 12 = 0
- 13 = 0
- 16 = 0
- 18 = 0
- 24 = 0
- 26 = 0
- 29 = 0
- 31 = 0
- 32 = 0
- 35 = 0
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- 48 = 0
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- 52 = 0
- 54 = 0
- 60 = 0
- 67 = 0
- 74 = 0
- 82 = 0
- 83 = 0
- 86 = 0
- 88 = 0
- 95 = 0
- 97 = 0
- 98 = 0
- 101 = 0
- 106 = 0
- 112 = 0
- 121 = 0
- 128 = 0
- 135 = 0
- 137 = 0
- 140 = 0
- 141 = 0
- 147 = 0
- 149 = 0
- 152 = 0
- 155 = 0
- 156 = 0
- 165 = 0
- 171 = 0
- 182 = 0
- 191 = 0
- 197 = 0
- 200 = 0
- 218 = 0
- 225 = 0
- 226 = 0
- 229 = 0
- 231 = 0
- 237 = 0
- 244 = 0
- 249 = 0
- 250 = 0
- 253 = 0
- 255 = 0
- 261 = 0
- 268 = 0
- 280 = 0
- 289 = 0
- 295 = 0
- 304 = 0
- 315 = 0
- 321 = 0
- 330 = 0
- 336 = 0
- 376 = 0
- 377 = 0
- 380 = 0
- 382 = 0
- 389 = 0
- 391 = 0
- 392 = 0
- 395 = 0
- 400 = 0
- 406 = 0
- 415 = 0
- 422 = 0
- 429 = 0
- 430 = 0
- 431 = 0
- 432 = 0
- 434 = 0
- 435 = 0
- 436 = 0
- 438 = 0
- 441 = 0
- 443 = 0
- 445 = 0
- 446 = 0
- 449 = 0
- 450 = 0
- 454 = 0
- 459 = 0
- 460 = 0
- 462 = 0
- 465 = 0
- 469 = 0
- 476 = 0
- 485 = 0
- 491 = 0
- 494 = 0
- 512 = 0
- 519 = 0
- 521 = 0
- 522 = 0
- 525 = 0
- 527 = 0
- 530 = 0
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- 571 = 0
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- 1679 = 0
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- 1830 = 0
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- 1834 = 0
- 1836 = 0
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- 1852 = 0
- 1858 = 0
- 1861 = 0
- 1867 = 0
- 1875 = 0
- 1877 = 0
- 1880 = 0
- 1881 = 0
- 1883 = 0
- 1886 = 0
- 1889 = 0
- 1890 = 0
- 1896 = 0
- 1907 = 0
- 1913 = 0
- 1916 = 0
- 1919 = 0
- 1931 = 0
- 1935 = 0
- 1936 = 0
- 1937 = 0
- 1939 = 0
- 1940 = 0
- 1941 = 0
- 1943 = 0
- 1946 = 0
- 1948 = 0
- 1949 = 0
- 1950 = 0
- 1951 = 0
- 1954 = 0
- 1956 = 0
- 1963 = 0
- 1967 = 0
- 1972 = 0
- 1973 = 0
- 1976 = 0
- 1978 = 0
- 1979 = 0
- 1981 = 0
- 1987 = 0
- 1991 = 0
- 2019 = 0
- 2022 = 0
- 2028 = 0
- 2031 = 0
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- 2173 = 0
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- 2183 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=0
- 0 = 0
- 6 = 0
- 12 = 0
- 18 = 0
- 24 = 0
- 25 = 0
- 48 = 0
- 49 = 0
- 72 = 0
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- 366 = 0
- 367 = 0
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- 385 = 0
- 396 = 0
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- 398 = 0
- 399 = 0
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- 594 = 0
- 600 = 0
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- 1917 = 0
- 1923 = 0
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- 1941 = 0
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- 1960 = 0
- 1971 = 0
- 1972 = 0
- 1973 = 0
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- 5793 = 0
-DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=1
- 0 = 0
- 6 = 0
- 12 = 0
- 18 = 0
- 24 = 0
- 25 = 0
- 48 = 0
- 49 = 0
- 72 = 0
- 73 = 0
- 84 = 0
- 85 = 0
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- 336 = 0
- 342 = 0
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- 366 = 0
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- 385 = 0
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-DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=2
- 0 = 0
- 1 = 0
- 4 = 0
- 6 = 0
- 12 = 0
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- 18 = 0
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- 193 = 0
- 199 = 0
- 212 = 0
- 213 = 0
- 230 = 0
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- 268 = 0
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- 271 = 0
- 336 = 0
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- 348 = 0
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- 367 = 0
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- 397 = 0
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- 399 = 0
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-DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=3
- 0 = 0
- 1 = 0
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- 6 = 0
- 12 = 0
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-DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=4
- 0 = 0
- 1 = 0
- 2 = 0
- 4 = 0
- 5 = 0
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- 12 = 0
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-DEAL::FE=FESystem<3>[FE_Q<3>(3)^3], case=5
- 0 = 0
- 1 = 0
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63 = 0
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- 5080 = 0
- 5081 = 0
- 5106 = 0
- 5108 = 0
- 5109 = 0
- 5113 = 0
- 5110 = 0
- 5114 = 0
- 5119 = 0
- 5120 = 0
- 5121 = 0
- 5122 = 0
- 5127 = 0
- 5128 = 0
- 5129 = 0
- 5130 = 0
- 5159 = 0
- 5160 = 0
- 5161 = 0
- 5162 = 0
- 5187 = 0
- 5193 = 0
- 5194 = 0
- 5211 = 0
- 5212 = 0
- 5223 = 0
- 5224 = 0
- 5225 = 0
- 5226 = 0
- 5376 = 0
- 5377 = 0
- 5380 = 0
- 5382 = 0
- 5383 = 0
- 5396 = 0
- 5397 = 0
- 5400 = 0
- 5402 = 0
- 5401 = 0
- 5403 = 0
- 5408 = 0
- 5409 = 0
- 5412 = 0
- 5413 = 0
- 5414 = 0
- 5415 = 0
- 5440 = 0
- 5441 = 0
- 5442 = 0
- 5443 = 0
- 5485 = 0
- 5495 = 0
- 5496 = 0
- 5501 = 0
- 5502 = 0
- 5521 = 0
- 5522 = 0
- 5523 = 0
- 5524 = 0
- 5565 = 0
- 5567 = 0
- 5570 = 0
- 5571 = 0
- 5575 = 0
- 5572 = 0
- 5576 = 0
- 5581 = 0
- 5582 = 0
- 5587 = 0
- 5588 = 0
- 5589 = 0
- 5590 = 0
- 5601 = 0
- 5602 = 0
- 5603 = 0
- 5604 = 0
- 5645 = 0
- 5646 = 0
- 5647 = 0
- 5648 = 0
- 5675 = 0
- 5680 = 0
- 5681 = 0
- 5686 = 0
- 5687 = 0
- 5726 = 0
- 5727 = 0
- 5728 = 0
- 5729 = 0
- 5754 = 0
- 5755 = 0
- 5756 = 0
- 5758 = 0
- 5759 = 0
- 5760 = 0
- 5764 = 0
- 5761 = 0
- 5765 = 0
- 5770 = 0
- 5771 = 0
- 5774 = 0
- 5776 = 0
- 5775 = 0
- 5777 = 0
- 5778 = 0
- 5780 = 0
- 5779 = 0
- 5781 = 0
- 5786 = 0
- 5787 = 0
- 5790 = 0
- 5791 = 0
- 5792 = 0
- 5793 = 0
- 5818 = 0
- 5819 = 0
- 5820 = 0
- 5821 = 0
- 5834 = 0
- 5835 = 0
- 5836 = 0
- 5837 = 0
- 5863 = 0
- 5864 = 0
- 5869 = 0
- 5870 = 0
- 5873 = 0
- 5875 = 0
- 5874 = 0
- 5876 = 0
- 5879 = 0
- 5880 = 0
- 5899 = 0
- 5900 = 0
- 5901 = 0
- 5902 = 0
- 5915 = 0
- 5916 = 0
- 5917 = 0
- 5918 = 0
- 6024 = 0
- 6027 = 0
- 6028 = 0
- 6039 = 0
- 6040 = 0
- 6045 = 0
- 6046 = 0
- 6047 = 0
- 6048 = 0
- 6106 = 0
- 6116 = 0
- 6117 = 0
- 6122 = 0
- 6123 = 0
- 6142 = 0
- 6143 = 0
- 6144 = 0
- 6145 = 0
- 6186 = 0
- 6187 = 0
- 6189 = 0
- 6190 = 0
- 6197 = 0
- 6198 = 0
- 6201 = 0
- 6203 = 0
- 6202 = 0
- 6204 = 0
- 6207 = 0
- 6208 = 0
- 6209 = 0
- 6210 = 0
- 6223 = 0
- 6224 = 0
- 6225 = 0
- 6226 = 0
- 6269 = 0
- 6274 = 0
- 6275 = 0
- 6280 = 0
- 6281 = 0
- 6320 = 0
- 6321 = 0
- 6322 = 0
- 6323 = 0
- 6348 = 0
- 6350 = 0
- 6351 = 0
- 6355 = 0
- 6352 = 0
- 6356 = 0
- 6361 = 0
- 6362 = 0
- 6363 = 0
- 6364 = 0
- 6369 = 0
- 6370 = 0
- 6371 = 0
- 6372 = 0
- 6401 = 0
- 6402 = 0
- 6403 = 0
- 6404 = 0
- 6430 = 0
- 6431 = 0
- 6436 = 0
- 6437 = 0
- 6440 = 0
- 6442 = 0
- 6441 = 0
- 6443 = 0
- 6446 = 0
- 6447 = 0
- 6466 = 0
- 6467 = 0
- 6468 = 0
- 6469 = 0
- 6482 = 0
- 6483 = 0
- 6484 = 0
- 6485 = 0
- 6510 = 0
- 6511 = 0
- 6512 = 0
- 6513 = 0
- 6517 = 0
- 6514 = 0
- 6518 = 0
- 6521 = 0
- 6523 = 0
- 6522 = 0
- 6524 = 0
- 6525 = 0
- 6527 = 0
- 6526 = 0
- 6528 = 0
- 6531 = 0
- 6532 = 0
- 6533 = 0
- 6534 = 0
- 6547 = 0
- 6548 = 0
- 6549 = 0
- 6550 = 0
- 6563 = 0
- 6564 = 0
- 6565 = 0
- 6566 = 0
+ 70 = 0