diff --git a/Numeric/Gauss.h b/Numeric/Gauss.h
index 1ac32d9073d3f9deef30347b8f717d8d233f0187..ea67b1514add45de8ebbeec16898f73ae935e67d 100644
--- a/Numeric/Gauss.h
+++ b/Numeric/Gauss.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2009 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2008 C. Geuzaine, J.-F. Remacle
 //
 // See the LICENSE.txt file for license information. Please report all
 // bugs and problems to <gmsh@geuz.org>.
@@ -15,6 +15,9 @@ int GaussLegendreTri(int n1, int n2, IntPt *pts);
 int GaussLegendreTet(int n1, int n2, int n3, IntPt *pts); 
 int GaussLegendreHex(int n1, int n2, int n3, IntPt *pts);
 
+int getNGQLPts (int order);
+IntPt *getGQLPts (int order);
+
 int getNGQTPts(int order);
 IntPt *getGQTPts (int order);
 
diff --git a/Numeric/GaussLegendre1D.h b/Numeric/GaussLegendre1D.h
index 165d2a895d40b10fec211efd1a6ccc84b3e73507..c09d4de50ed3727788ba0f64d6e9cd0f7973fffd 100644
--- a/Numeric/GaussLegendre1D.h
+++ b/Numeric/GaussLegendre1D.h
@@ -1,11 +1,8 @@
-// Gmsh - Copyright (C) 1997-2009 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2008 C. Geuzaine, J.-F. Remacle
 //
 // See the LICENSE.txt file for license information. Please report all
 // bugs and problems to <gmsh@geuz.org>.
 
-#ifndef _GAUSS_LEGENDRE_1D_H_
-#define _GAUSS_LEGENDRE_1D_H_
-
 /* 1 point rule points */
 static double _GL_pt1[1]={
   0.000000000000000e+00};
@@ -124,7 +121,8 @@ static double _GL_wt6[6]={
  /* 15 point rule weights */
  static double _GL_wt15[15]={
   3.075324199611663e-02, 7.036604748810814e-02, 1.071592204671720e-01, 1.395706779261543e-01, 1.662692058169940e-01, 1.861610000155622e-01, 1.984314853271116e-01, 2.025782419255613e-01, 1.984314853271116e-01, 1.861610000155622e-01, 1.662692058169940e-01, 1.395706779261543e-01, 1.071592204671720e-01, 7.036604748810814e-02, 3.075324199611663e-02};
-/* 16 point rule points */
+
+ /* 16 point rule points */
  static double _GL_pt16[16]={
  -9.894009349916499e-01,-9.445750230732326e-01,-8.656312023878318e-01,-7.554044083550030e-01,-6.178762444026438e-01,-4.580167776572274e-01,-2.816035507792589e-01,-9.501250983763744e-02, 9.501250983763744e-02, 2.816035507792589e-01, 4.580167776572274e-01, 6.178762444026438e-01, 7.554044083550030e-01, 8.656312023878318e-01, 9.445750230732326e-01, 9.894009349916499e-01};
 
@@ -132,6 +130,14 @@ static double _GL_wt6[6]={
  static double _GL_wt16[16]={
   2.715245941175406e-02, 6.225352393864778e-02, 9.515851168249290e-02, 1.246289712555339e-01, 1.495959888165768e-01, 1.691565193950026e-01, 1.826034150449236e-01, 1.894506104550685e-01, 1.894506104550685e-01, 1.826034150449236e-01, 1.691565193950026e-01, 1.495959888165768e-01, 1.246289712555339e-01, 9.515851168249290e-02, 6.225352393864778e-02, 2.715245941175406e-02};
 
+ /* 20 point rule points */
+ static double _GL_pt20[20]={
+ -9.931285991850949e-01, -9.639719272779138e-01, -9.122344282513259e-01, -8.391169718222188e-01, -7.463319064601508e-01, -6.360536807265150e-01, -5.108670019508271e-01, -3.737060887154196e-01, -2.277858511416451e-01, -7.652652113349733e-02, 7.652652113349733e-02, 2.277858511416451e-01, 3.737060887154196e-01, 5.108670019508271e-01, 6.360536807265150e-01, 7.463319064601508e-01, 8.391169718222188e-01, 9.122344282513259e-01, 9.639719272779138e-01, 9.931285991850949e-01};
+
+ /* 20 point rule weights */
+ static double _GL_wt20[20]={
+  1.761400713915212e-02, 4.060142980038694e-02, 6.267204833410906e-02, 8.327674157670475e-02, 1.019301198172404e-01, 1.181945319615184e-01, 1.316886384491766e-01, 1.420961093183821e-01, 1.491729864726037e-01, 1.527533871307259e-01, 1.527533871307259e-01, 1.491729864726037e-01, 1.420961093183821e-01, 1.316886384491766e-01, 1.181945319615184e-01, 1.019301198172404e-01, 8.327674157670475e-02, 6.267204833410906e-02, 4.060142980038694e-02, 1.761400713915212e-02};
+
 inline void gmshGaussLegendre1D(int nbQuadPoints, double **t, double **w)
 {
   switch (nbQuadPoints){
@@ -199,6 +205,10 @@ inline void gmshGaussLegendre1D(int nbQuadPoints, double **t, double **w)
     *t = _GL_pt16;
     *w = _GL_wt16;
     break;
+  case 20:
+    *t = _GL_pt20;
+    *w = _GL_wt20;
+    break;
   default :
     *t = 0;
     *w = 0;
@@ -206,4 +216,3 @@ inline void gmshGaussLegendre1D(int nbQuadPoints, double **t, double **w)
   }
 }
 
-#endif
diff --git a/Numeric/GaussLegendreSimplex.cpp b/Numeric/GaussLegendreSimplex.cpp
index 38f48169cb61fe8f213460d400b6ac64eba9470e..0ebb9893df396e4105eeb15ce613f6f089933911 100644
--- a/Numeric/GaussLegendreSimplex.cpp
+++ b/Numeric/GaussLegendreSimplex.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2009 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2008 C. Geuzaine, J.-F. Remacle
 //
 // See the LICENSE.txt file for license information. Please report all
 // bugs and problems to <gmsh@geuz.org>.
@@ -47,7 +47,7 @@ int GaussLegendreTet(int n1, int n2, int n3, IntPt *pts)
       for(k=0; k < n3; k++) {
         brickToTet(pt1[i],pt2[j],pt3[k],&(pts[index].pt[0]),
                    &(pts[index].pt[1]),&(pts[index].pt[2]),&dJ);
-	pts[index++].weight = dJ*wt1[i]*wt2[j]*wt3[k]*6.0;
+	pts[index++].weight = dJ*wt1[i]*wt2[j]*wt3[k];
       }
     }
   }
@@ -67,7 +67,7 @@ int GaussLegendreTri(int n1,int n2,IntPt *pts)
     for(j=0; j < n2; j++) {
       quadToTri(pt1[i],pt2[j],&(pts[index].pt[0]),&(pts[index].pt[1]),&dJ);
       pts[index].pt[2] = 0;
-      pts[index++].weight = dJ*wt1[i]*wt2[j]*2.0;
+      pts[index++].weight = dJ*wt1[i]*wt2[j];
     }
   }
   return index;
diff --git a/Numeric/GaussQuadratureHex.cpp b/Numeric/GaussQuadratureHex.cpp
index 972938f971e8c173abff8c40a5792a3fdbcfdd27..64c71407f7a617a443374082dab9c87c50a3ff59 100644
--- a/Numeric/GaussQuadratureHex.cpp
+++ b/Numeric/GaussQuadratureHex.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2009 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2008 C. Geuzaine, J.-F. Remacle
 //
 // See the LICENSE.txt file for license information. Please report all
 // bugs and problems to <gmsh@geuz.org>.
@@ -61,7 +61,7 @@ IntPt *getGQHPts(int order);
 int getNGQHPts(int order);
 
 IntPt * GQH[17] = {GQH1,GQH1,GQH6,GQH8,0,0,0,0,0,0,0,0,0,0,0,0,0};
-int GQHnPt[4] = {1,4,5,15};
+int GQHnPt[4] = {1,1,6,8};
 
 IntPt *getGQHPts(int order)
 { 
diff --git a/Numeric/GaussQuadratureLin.cpp b/Numeric/GaussQuadratureLin.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..82f40131abbaa37349cbaa8f6b1f6505d63cfcc5
--- /dev/null
+++ b/Numeric/GaussQuadratureLin.cpp
@@ -0,0 +1,32 @@
+// Gmsh - Copyright (C) 1997-2008 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// bugs and problems to <gmsh@geuz.org>.
+
+#include "Gauss.h"
+#include "GaussLegendre1D.h"
+
+IntPt * GQL[20] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
+
+IntPt *getGQLPts(int order)
+{ 
+  int n = (order+1)/2;
+  int index = n;
+  if(!GQL[index]) {
+    double *pt,*wt;
+    gmshGaussLegendre1D(n,&pt,&wt);
+    GQL[index] = new IntPt[n];
+    for(int i=0; i < n; i++) {
+      GQL[index][i].pt[0] = pt[i];
+      GQL[index][i].pt[1] = 0.0;
+      GQL[index][i].pt[2] = 0.0;
+      GQL[index][i].weight = wt[i];
+    }
+  }
+  return GQL[index];
+}
+
+int getNGQLPts(int order)
+{ 
+  return (order+1)/2;
+}
diff --git a/Numeric/GaussQuadratureQuad.cpp b/Numeric/GaussQuadratureQuad.cpp
index 941f00441b43d444425142e3342a5ddda8723740..309b0c56088a8c460cb2b2e06ff9ad23298eafce 100644
--- a/Numeric/GaussQuadratureQuad.cpp
+++ b/Numeric/GaussQuadratureQuad.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2009 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2008 C. Geuzaine, J.-F. Remacle
 //
 // See the LICENSE.txt file for license information. Please report all
 // bugs and problems to <gmsh@geuz.org>.
@@ -7,7 +7,7 @@
 #include "GaussLegendre1D.h"
 
 IntPt GQQ1[1] = {
-  { {0.0,0.0},4.0 }
+  { {0.0,0.0,0.0},4.0 }
 };
 
 const double xq3[3] = {0.816496580928,-0.408248290464,-0.408248290464};
@@ -108,7 +108,7 @@ int GQQnPt[7] = {1,1,3,4,7,9,16};
 IntPt *getGQQPts(int order)
 { 
   
-  if(order<1)return GQQ[order];
+  if(order<2)return GQQ[order];
   if(order==2)return GQQ[3];
   if(order==3)return GQQ[3];
 
@@ -138,7 +138,7 @@ int getNGQQPts(int order)
   if(order == 3)return 4;
   if(order == 2)return 4;
 
-  if(order < 1)
+  if(order < 2)
     return GQQnPt[order]; 
   return ((order+3)/2)*((order+3)/2);
 }
diff --git a/Numeric/GaussQuadratureTet.cpp b/Numeric/GaussQuadratureTet.cpp
index 9448f73bc1c3a092af974f5377944586279336b2..0d01575a753aa09cd58cc2f2bd0317c34816f55e 100644
--- a/Numeric/GaussQuadratureTet.cpp
+++ b/Numeric/GaussQuadratureTet.cpp
@@ -7,139 +7,134 @@
 #include "GaussLegendre1D.h"
 
 /* constants for 4-point rule */
-#define  a4  0.5854101966249685  
-#define  b4  0.138196601125015  
+#define  a4  0.5854101966249685
+#define  b4  0.138196601125015
 
 /* constants for 5-point rule */
-#define  a5  0.500000000000000  
-#define  b5  0.166666666666667  
+#define  a5  0.500000000000000
+#define  b5  0.166666666666667
 
 /* constants for 16-point rule */
-#define  a16  0.0503737941001228  
-#define  b16  0.0665420686332923  
-#define  c16  0.7716429020672371  
-#define  d16  0.0761190326442543  
-#define  e16  0.1197005277978019  
-#define  f16  0.0718316452676693  
-#define  g16  0.4042339134672644  
+#define  a16  0.00839563235002047
+#define  b16  0.0110903447722154
+#define  c16  0.7716429020672371
+#define  d16  0.0761190326442543
+#define  e16  0.1197005277978019
+#define  f16  0.0718316452676693
+#define  g16  0.4042339134672644
 
 /* constants for 17-p9oint rule */
-#define  a17  0.1884185567365411  
-#define  b17  0.0670385837260428  
-#define  c17  0.0452855923632739  
-#define  p17  0.7316369079576180  
-#define  q17  0.0894543640141273  
-#define  e17  0.1325810999384657  
-#define  f17  0.0245400397290300  
-#define  g17  0.4214394310662522  
-
+#define  a17  0.0314030927894235
+#define  b17  0.0111730972876738
+#define  c17  0.00754759872721232
+#define  p17  0.7316369079576180
+#define  q17  0.0894543640141273
+#define  e17  0.1325810999384657
+#define  f17  0.0245400397290300
+#define  g17  0.4214394310662522
 
 /* constants for 29-point rule */
-#define  a29  0.0904012904601475  
-#define  b29  0.0191198342789912  
-#define  c29  0.0436149384066657  
-#define  d29  0.0258116759619916  
-#define  p29  0.8277192480479295  
-#define  q29  0.0574269173173568  
-#define  e29  0.0513518841255634  
-#define  f29  0.4860510285706072  
-#define  g29  0.2312985436519147  
-#define  h29  0.2967538129690260  
-#define  i29  0.6081079894015281  
-#define  j29  0.0475690988147229  
-
-IntPt GQTet1[1] = { 
-  {{.25,.25,.25},1.0} 
+#define  a29  0.0150668817433579
+#define  b29  0.00318663904649853
+#define  c29  0.00726915640111095
+#define  d29  0.00430194599366527
+#define  p29  0.8277192480479295
+#define  q29  0.0574269173173568
+#define  e29  0.0513518841255634
+#define  f29  0.4860510285706072
+#define  g29  0.2312985436519147
+#define  h29  0.2967538129690260
+#define  i29  0.6081079894015281
+#define  j29  0.0475690988147229
+
+IntPt GQTet1[1] = {
+  {{.25, .25, .25}, 0.166666666666667}
 };
 
 IntPt GQTet2[4] = {
-  { {a4,b4,b4},.25 },
-  { {b4,a4,b4},.25 },
-  { {b4,b4,a4},.25 },
-  { {b4,b4,b4},.25 }
+  { {a4, b4, b4}, 0.0416666666666667},
+  { {b4, a4, b4}, 0.0416666666666667},
+  { {b4, b4, a4}, 0.0416666666666667},
+  { {b4, b4, b4}, 0.0416666666666667}
 };
 
 IntPt GQTet3[5] = {
-  {{0.25,0.25,0.25},-0.8},
-  {{a5,b5,b5},0.45},
-  {{b5,a5,b5},0.45},
-  {{b5,b5,a5},0.45},
-  {{b5,b5,b5},0.45}
+  {{0.25, 0.25, 0.25}, -0.133333333333333},
+  {{a5, b5, b5}, 0.075},
+  {{b5, a5, b5}, 0.075},
+  {{b5, b5, a5}, 0.075},
+  {{b5, b5, b5}, 0.075}
 };
 
 IntPt GQTet4[16] = {
-  {{c16,d16,d16},a16},
-  {{d16,c16,d16},a16},
-  {{d16,d16,c16},a16},
-  {{d16,d16,d16},a16},
-  {{e16,f16,g16},b16},
-  {{f16,e16,g16},b16},
-  {{e16,g16,g16},b16},
-  {{f16,g16,g16},b16},
-  {{g16,g16,e16},b16},
-  {{g16,g16,f16},b16},
-  {{g16,e16,f16},b16},
-  {{g16,f16,e16},b16},
-  {{e16,g16,f16},b16},
-  {{f16,g16,e16},b16},
-  {{g16,e16,g16},b16},
-  {{g16,f16,g16},b16}
+  {{c16, d16, d16}, a16},
+  {{d16, c16, d16}, a16},
+  {{d16, d16, c16}, a16},
+  {{d16, d16, d16}, a16},
+  {{e16, f16, g16}, b16},
+  {{f16, e16, g16}, b16},
+  {{e16, g16, g16}, b16},
+  {{f16, g16, g16}, b16},
+  {{g16, g16, e16}, b16},
+  {{g16, g16, f16}, b16},
+  {{g16, e16, f16}, b16},
+  {{g16, f16, e16}, b16},
+  {{e16, g16, f16}, b16},
+  {{f16, g16, e16}, b16},
+  {{g16, e16, g16}, b16},
+  {{g16, f16, g16}, b16}
 };
 
 IntPt GQTet5[17] = {
-  {{0.25,0.25,0.25},a17},
-  {{p17,q17,q17},b17},
-  {{q17,p17,q17},b17},
-  {{q17,q17,p17},b17},
-  {{q17,q17,q17},b17},
-  {{e17,f17,g17},c17},
-  {{f17,e17,g17},c17},
-  {{e17,g17,g17},c17},
-  {{f17,g17,g17},c17},
-  {{g17,g17,e17},c17},
-  {{g17,g17,f17},c17},
-  {{g17,e17,f17},c17},
-  {{g17,f17,e17},c17},
-  {{e17,g17,f17},c17},
-  {{f17,g17,e17},c17},
-  {{g17,e17,g17},c17},
-  {{g17,f17,g17},c17}
+  {{0.25, 0.25, 0.25}, a17},
+  {{p17, q17, q17}, b17},
+  {{q17, p17, q17}, b17},
+  {{q17, q17, p17}, b17},
+  {{q17, q17, q17}, b17},
+  {{e17, f17, g17}, c17},
+  {{f17, e17, g17}, c17},
+  {{e17, g17, g17}, c17},
+  {{f17, g17, g17}, c17},
+  {{g17, g17, e17}, c17},
+  {{g17, g17, f17}, c17},
+  {{g17, e17, f17}, c17},
+  {{g17, f17, e17}, c17},
+  {{e17, g17, f17}, c17},
+  {{f17, g17, e17}, c17},
+  {{g17, e17, g17}, c17},
+  {{g17, f17, g17}, c17}
 };
 
 IntPt GQTet6[29] = {
-  {{0.25,0.25,0.25},a29},
-  
-  {{p29,q29,q29},b29},
-  {{q29,p29,q29},b29},
-  {{q29,q29,p29},b29},
-  {{q29,q29,q29},b29},
-  
-  {{e29,f29,g29},c29},
-  {{f29,e29,g29},c29},
-  {{e29,g29,g29},c29},
-  {{f29,g29,g29},c29},
-  {{g29,g29,e29},c29},
-  {{g29,g29,f29},c29},
-  {{g29,e29,f29},c29},
-  {{g29,f29,e29},c29},
-  {{e29,g29,f29},c29},
-  {{f29,g29,e29},c29},
-  {{g29,e29,g29},c29},
-  {{g29,f29,g29},c29},
-  
-  {{h29,i29,j29},d29},
-  {{i29,h29,j29},d29},
-  {{h29,j29,j29},d29},
-  {{i29,j29,j29},d29},
-  {{j29,j29,h29},d29},
-  {{j29,j29,i29},d29},
-  {{j29,h29,i29},d29},
-  {{j29,i29,h29},d29},
-  {{h29,j29,i29},d29},
-  {{i29,j29,h29},d29},
-  {{j29,h29,j29},d29},
-  {{j29,i29,j29},d29}
-  
+  {{0.25, 0.25, 0.25}, a29},
+  {{p29, q29, q29}, b29},
+  {{q29, p29, q29}, b29},
+  {{q29, q29, p29}, b29},
+  {{q29, q29, q29}, b29},
+  {{e29, f29, g29}, c29},
+  {{f29, e29, g29}, c29},
+  {{e29, g29, g29}, c29},
+  {{f29, g29, g29}, c29},
+  {{g29, g29, e29}, c29},
+  {{g29, g29, f29}, c29},
+  {{g29, e29, f29}, c29},
+  {{g29, f29, e29}, c29},
+  {{e29, g29, f29}, c29},
+  {{f29, g29, e29}, c29},
+  {{g29, e29, g29}, c29},
+  {{g29, f29, g29}, c29},
+  {{h29, i29, j29}, d29},
+  {{i29, h29, j29}, d29},
+  {{h29, j29, j29}, d29},
+  {{i29, j29, j29}, d29},
+  {{j29, j29, h29}, d29},
+  {{j29, j29, i29}, d29},
+  {{j29, h29, i29}, d29},
+  {{j29, i29, h29}, d29},
+  {{h29, j29, i29}, d29},
+  {{i29, j29, h29}, d29},
+  {{j29, h29, j29}, d29},
+  {{j29, i29, j29}, d29}
 };
 
 
@@ -152,60 +147,57 @@ int GQTetnPt[7] = {1,1,4,5,16,17,29};
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP1Solin[1] = {
-  {{0.25 , 0.25 , 0.25}, 1}
+  {{0.25, 0.25, 0.25}, 0.166666666666667}
 };
 
-// 0 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1/6
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 2 on the tetrahedron */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP2Solin[4] = {
-  {{0.138196601125 , 0.138196601125 , 0.138196601125}, 0.25},
-  {{0.585410196625 , 0.138196601125 , 0.138196601125}, 0.25},
-  {{0.138196601125 , 0.585410196625 , 0.138196601125}, 0.25},
-  {{0.138196601125 , 0.138196601125 , 0.585410196625}, 0.25}
+  {{0.138196601125, 0.138196601125, 0.138196601125}, 0.0416666666666667},
+  {{0.585410196625, 0.138196601125, 0.138196601125}, 0.0416666666666667},
+  {{0.138196601125, 0.585410196625, 0.138196601125}, 0.0416666666666667},
+  {{0.138196601125, 0.138196601125, 0.585410196625}, 0.0416666666666667}
 };
 
-// 0 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1/6
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 3 on the tetrahedron */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP3Solin[5] = {
-  {{0.25 , 0.25 , 0.25}, -0.8},
-  {{0.166666666667 , 0.166666666667 , 0.166666666667}, 0.45},
-  {{0.166666666667 , 0.166666666667 , 0.5}, 0.45},
-  {{0.166666666667 , 0.5 , 0.166666666667}, 0.45},
-  {{0.5 , 0.166666666667 , 0.166666666667}, 0.45}
+  {{0.250000000000, 0.250000000000, 0.250000000000}, -0.133333333333333},
+  {{0.166666666667, 0.166666666667, 0.166666666667}, +0.075000000000000},
+  {{0.166666666667, 0.166666666667, 0.500000000000}, +0.075000000000000},
+  {{0.166666666667, 0.500000000000, 0.166666666667}, +0.075000000000000},
+  {{0.500000000000, 0.166666666667, 0.166666666667}, +0.075000000000000}
 };
 
-// 1 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1
-
+// 1 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1/6
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 4 on the tetrahedron */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP4Solin[11] = {
-  {{0.25 , 0.25 , 0.25}, -0.0789333333333},
-  {{0.0714285714286 , 0.0714285714286 , 0.0714285714286}, 0.0457333333333},
-  {{0.0714285714286 , 0.0714285714286 , 0.785714285714}, 0.0457333333333},
-  {{0.0714285714286 , 0.785714285714 , 0.0714285714286}, 0.0457333333333},
-  {{0.785714285714 , 0.0714285714286 , 0.0714285714286}, 0.0457333333333},
-  {{0.399403576167 , 0.399403576167 , 0.100596423833}, 0.149333333333},
-  {{0.399403576167 , 0.100596423833 , 0.399403576167}, 0.149333333333},
-  {{0.100596423833 , 0.399403576167 , 0.399403576167}, 0.149333333333},
-  {{0.399403576167 , 0.100596423833 , 0.100596423833}, 0.149333333333},
-  {{0.100596423833 , 0.399403576167 , 0.100596423833}, 0.149333333333},
-  {{0.100596423833 , 0.100596423833 , 0.399403576167}, 0.149333333333}
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -0.0131555555555},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, +0.0076222222222},
+  {{0.0714285714286, 0.0714285714286, 0.7857142857140}, +0.0076222222222},
+  {{0.0714285714286, 0.7857142857140, 0.0714285714286}, +0.0076222222222},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, +0.0076222222222},
+  {{0.3994035761670, 0.3994035761670, 0.1005964238330}, +0.0248888888888},
+  {{0.3994035761670, 0.1005964238330, 0.3994035761670}, +0.0248888888888},
+  {{0.1005964238330, 0.3994035761670, 0.3994035761670}, +0.0248888888888},
+  {{0.3994035761670, 0.1005964238330, 0.1005964238330}, +0.0248888888888},
+  {{0.1005964238330, 0.3994035761670, 0.1005964238330}, +0.0248888888888},
+  {{0.1005964238330, 0.1005964238330, 0.3994035761670}, +0.0248888888888}
 };
 
-// 1 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1
+// 1 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1/6
 
 
 // -----------------------------------------------------------------------------
@@ -213,20 +205,20 @@ IntPt tetP4Solin[11] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP5Solin[14] = {
-  {{0.0927352503109 , 0.0927352503109 , 0.0927352503109}, 0.0734930431164},
-  {{0.721794249067 , 0.0927352503109 , 0.0927352503109}, 0.0734930431164},
-  {{0.0927352503109 , 0.721794249067 , 0.0927352503109}, 0.0734930431164},
-  {{0.0927352503109 , 0.0927352503109 , 0.721794249067}, 0.0734930431164},
-  {{0.310885919263 , 0.310885919263 , 0.310885919263}, 0.112687925718},
-  {{0.0673422422101 , 0.310885919263 , 0.310885919263}, 0.112687925718},
-  {{0.310885919263 , 0.0673422422101 , 0.310885919263}, 0.112687925718},
-  {{0.310885919263 , 0.310885919263 , 0.0673422422101}, 0.112687925718},
-  {{0.454496295874 , 0.454496295874 , 0.0455037041256}, 0.0425460207771},
-  {{0.454496295874 , 0.0455037041256 , 0.454496295874}, 0.0425460207771},
-  {{0.0455037041256 , 0.454496295874 , 0.454496295874}, 0.0425460207771},
-  {{0.454496295874 , 0.0455037041256 , 0.0455037041256}, 0.0425460207771},
-  {{0.0455037041256 , 0.454496295874 , 0.0455037041256}, 0.0425460207771},
-  {{0.0455037041256 , 0.0455037041256 , 0.454496295874}, 0.0425460207771}
+  {{0.0927352503109, 0.0927352503109, 0.0927352503109}, 0.01224884051940},
+  {{0.7217942490670, 0.0927352503109, 0.0927352503109}, 0.01224884051940},
+  {{0.0927352503109, 0.7217942490670, 0.0927352503109}, 0.01224884051940},
+  {{0.0927352503109, 0.0927352503109, 0.7217942490670}, 0.01224884051940},
+  {{0.3108859192630, 0.3108859192630, 0.3108859192630}, 0.01878132095300},
+  {{0.0673422422101, 0.3108859192630, 0.3108859192630}, 0.01878132095300},
+  {{0.3108859192630, 0.0673422422101, 0.3108859192630}, 0.01878132095300},
+  {{0.3108859192630, 0.3108859192630, 0.0673422422101}, 0.01878132095300},
+  {{0.4544962958740, 0.4544962958740, 0.0455037041256}, 0.00709100346285},
+  {{0.4544962958740, 0.0455037041256, 0.4544962958740}, 0.00709100346285},
+  {{0.0455037041256, 0.4544962958740, 0.4544962958740}, 0.00709100346285},
+  {{0.4544962958740, 0.0455037041256, 0.0455037041256}, 0.00709100346285},
+  {{0.0455037041256, 0.4544962958740, 0.0455037041256}, 0.00709100346285},
+  {{0.0455037041256, 0.0455037041256, 0.4544962958740}, 0.00709100346285}
 };
 
 // 0 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1
@@ -237,30 +229,30 @@ IntPt tetP5Solin[14] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP6Solin[24] = {
-  {{0.214602871259 , 0.214602871259 , 0.214602871259}, 0.0399227502582},
-  {{0.356191386223 , 0.214602871259 , 0.214602871259}, 0.0399227502582},
-  {{0.214602871259 , 0.356191386223 , 0.214602871259}, 0.0399227502582},
-  {{0.214602871259 , 0.214602871259 , 0.356191386223}, 0.0399227502582},
-  {{0.0406739585346 , 0.0406739585346 , 0.0406739585346}, 0.0100772110553},
-  {{0.877978124396 , 0.0406739585346 , 0.0406739585346}, 0.0100772110553},
-  {{0.0406739585346 , 0.877978124396 , 0.0406739585346}, 0.0100772110553},
-  {{0.0406739585346 , 0.0406739585346 , 0.877978124396}, 0.0100772110553},
-  {{0.322337890142 , 0.322337890142 , 0.322337890142}, 0.0553571815437},
-  {{0.0329863295732 , 0.322337890142 , 0.322337890142}, 0.0553571815437},
-  {{0.322337890142 , 0.0329863295732 , 0.322337890142}, 0.0553571815437},
-  {{0.322337890142 , 0.322337890142 , 0.0329863295732}, 0.0553571815437},
-  {{0.063661001875 , 0.063661001875 , 0.269672331458}, 0.0482142857143},
-  {{0.063661001875 , 0.269672331458 , 0.063661001875}, 0.0482142857143},
-  {{0.063661001875 , 0.063661001875 , 0.603005664792}, 0.0482142857143},
-  {{0.063661001875 , 0.603005664792 , 0.063661001875}, 0.0482142857143},
-  {{0.063661001875 , 0.269672331458 , 0.603005664792}, 0.0482142857143},
-  {{0.063661001875 , 0.603005664792 , 0.269672331458}, 0.0482142857143},
-  {{0.269672331458 , 0.063661001875 , 0.063661001875}, 0.0482142857143},
-  {{0.269672331458 , 0.063661001875 , 0.603005664792}, 0.0482142857143},
-  {{0.269672331458 , 0.603005664792 , 0.063661001875}, 0.0482142857143},
-  {{0.603005664792 , 0.063661001875 , 0.269672331458}, 0.0482142857143},
-  {{0.603005664792 , 0.063661001875 , 0.063661001875}, 0.0482142857143},
-  {{0.603005664792 , 0.269672331458 , 0.063661001875}, 0.0482142857143}
+  {{0.2146028712590, 0.2146028712590, 0.2146028712590}, 0.006653791709700},
+  {{0.3561913862230, 0.2146028712590, 0.2146028712590}, 0.006653791709700},
+  {{0.2146028712590, 0.3561913862230, 0.2146028712590}, 0.006653791709700},
+  {{0.2146028712590, 0.2146028712590, 0.3561913862230}, 0.006653791709700},
+  {{0.0406739585346, 0.0406739585346, 0.0406739585346}, 0.001679535175883},
+  {{0.8779781243960, 0.0406739585346, 0.0406739585346}, 0.001679535175883},
+  {{0.0406739585346, 0.8779781243960, 0.0406739585346}, 0.001679535175883},
+  {{0.0406739585346, 0.0406739585346, 0.8779781243960}, 0.001679535175883},
+  {{0.3223378901420, 0.3223378901420, 0.3223378901420}, 0.009226196923950},
+  {{0.0329863295732, 0.3223378901420, 0.3223378901420}, 0.009226196923950},
+  {{0.3223378901420, 0.0329863295732, 0.3223378901420}, 0.009226196923950},
+  {{0.3223378901420, 0.3223378901420, 0.0329863295732}, 0.009226196923950},
+  {{0.0636610018750, 0.0636610018750, 0.2696723314580}, 0.008035714285717},
+  {{0.0636610018750, 0.2696723314580, 0.0636610018750}, 0.008035714285717},
+  {{0.0636610018750, 0.0636610018750, 0.6030056647920}, 0.008035714285717},
+  {{0.0636610018750, 0.6030056647920, 0.0636610018750}, 0.008035714285717},
+  {{0.0636610018750, 0.2696723314580, 0.6030056647920}, 0.008035714285717},
+  {{0.0636610018750, 0.6030056647920, 0.2696723314580}, 0.008035714285717},
+  {{0.2696723314580, 0.0636610018750, 0.0636610018750}, 0.008035714285717},
+  {{0.2696723314580, 0.0636610018750, 0.6030056647920}, 0.008035714285717},
+  {{0.2696723314580, 0.6030056647920, 0.0636610018750}, 0.008035714285717},
+  {{0.6030056647920, 0.0636610018750, 0.2696723314580}, 0.008035714285717},
+  {{0.6030056647920, 0.0636610018750, 0.0636610018750}, 0.008035714285717},
+  {{0.6030056647920, 0.2696723314580, 0.0636610018750}, 0.008035714285717}
 };
 
 // 0 negative weights, 0 points outside of the tetrahedron,  total sum of the weights is 1
@@ -271,37 +263,37 @@ IntPt tetP6Solin[24] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP7Solin[31] = {
-  {{0.5 , 0.5 , 0}, 0.00582010582011},
-  {{0.5 , 0 , 0.5}, 0.00582010582011},
-  {{0 , 0.5 , 0.5}, 0.00582010582011},
-  {{0 , 0 , 0.5}, 0.00582010582011},
-  {{0 , 0.5 , 0}, 0.00582010582011},
-  {{0.5 , 0 , 0}, 0.00582010582011},
-  {{0.25 , 0.25 , 0.25}, 0.109585340797},
-  {{0.0782131923303 , 0.0782131923303 , 0.0782131923303}, 0.0635996491465},
-  {{0.0782131923303 , 0.0782131923303 , 0.765360423009}, 0.0635996491465},
-  {{0.0782131923303 , 0.765360423009 , 0.0782131923303}, 0.0635996491465},
-  {{0.765360423009 , 0.0782131923303 , 0.0782131923303}, 0.0635996491465},
-  {{0.121843216664 , 0.121843216664 , 0.121843216664}, -0.375106440686},
-  {{0.121843216664 , 0.121843216664 , 0.634470350008}, -0.375106440686},
-  {{0.121843216664 , 0.634470350008 , 0.121843216664}, -0.375106440686},
-  {{0.634470350008 , 0.121843216664 , 0.121843216664}, -0.375106440686},
-  {{0.332539164446 , 0.332539164446 , 0.332539164446}, 0.0293485515784},
-  {{0.332539164446 , 0.332539164446 , 0.00238250666074}, 0.0293485515784},
-  {{0.332539164446 , 0.00238250666074 , 0.332539164446}, 0.0293485515784},
-  {{0.00238250666074 , 0.332539164446 , 0.332539164446}, 0.0293485515784},
-  {{0.1 , 0.1 , 0.2}, 0.165343915344},
-  {{0.1 , 0.2 , 0.1}, 0.165343915344},
-  {{0.1 , 0.1 , 0.6}, 0.165343915344},
-  {{0.1 , 0.6 , 0.1}, 0.165343915344},
-  {{0.1 , 0.2 , 0.6}, 0.165343915344},
-  {{0.1 , 0.6 , 0.2}, 0.165343915344},
-  {{0.2 , 0.1 , 0.1}, 0.165343915344},
-  {{0.2 , 0.1 , 0.6}, 0.165343915344},
-  {{0.2 , 0.6 , 0.1}, 0.165343915344},
-  {{0.6 , 0.1 , 0.2}, 0.165343915344},
-  {{0.6 , 0.1 , 0.1}, 0.165343915344},
-  {{0.6 , 0.2 , 0.1}, 0.165343915344}
+  {{0.50000000000000, 0.50000000000000, 0.00000000000000}, +0.000970017636685},
+  {{0.50000000000000, 0.00000000000000, 0.50000000000000}, +0.000970017636685},
+  {{0.00000000000000, 0.50000000000000, 0.50000000000000}, +0.000970017636685},
+  {{0.00000000000000, 0.00000000000000, 0.50000000000000}, +0.000970017636685},
+  {{0.00000000000000, 0.50000000000000, 0.00000000000000}, +0.000970017636685},
+  {{0.50000000000000, 0.00000000000000, 0.00000000000000}, +0.000970017636685},
+  {{0.25000000000000, 0.25000000000000, 0.25000000000000}, +0.018264223466167},
+  {{0.07821319233030, 0.07821319233030, 0.07821319233030}, +0.010599941524417},
+  {{0.07821319233030, 0.07821319233030, 0.76536042300900}, +0.010599941524417},
+  {{0.07821319233030, 0.76536042300900, 0.07821319233030}, +0.010599941524417},
+  {{0.76536042300900, 0.07821319233030, 0.07821319233030}, +0.010599941524417},
+  {{0.12184321666400, 0.12184321666400, 0.12184321666400}, -0.062517740114333},
+  {{0.12184321666400, 0.12184321666400, 0.63447035000800}, -0.062517740114333},
+  {{0.12184321666400, 0.63447035000800, 0.12184321666400}, -0.062517740114333},
+  {{0.63447035000800, 0.12184321666400, 0.12184321666400}, -0.062517740114333},
+  {{0.33253916444600, 0.33253916444600, 0.33253916444600}, +0.004891425263067},
+  {{0.33253916444600, 0.33253916444600, 0.00238250666074}, +0.004891425263067},
+  {{0.33253916444600, 0.00238250666074, 0.33253916444600}, +0.004891425263067},
+  {{0.00238250666074, 0.33253916444600, 0.33253916444600}, +0.004891425263067},
+  {{0.10000000000000, 0.10000000000000, 0.20000000000000}, +0.027557319224000},
+  {{0.10000000000000, 0.20000000000000, 0.10000000000000}, +0.027557319224000},
+  {{0.10000000000000, 0.10000000000000, 0.60000000000000}, +0.027557319224000},
+  {{0.10000000000000, 0.60000000000000, 0.10000000000000}, +0.027557319224000},
+  {{0.10000000000000, 0.20000000000000, 0.60000000000000}, +0.027557319224000},
+  {{0.10000000000000, 0.60000000000000, 0.20000000000000}, +0.027557319224000},
+  {{0.20000000000000, 0.10000000000000, 0.10000000000000}, +0.027557319224000},
+  {{0.20000000000000, 0.10000000000000, 0.60000000000000}, +0.027557319224000},
+  {{0.20000000000000, 0.60000000000000, 0.10000000000000}, +0.027557319224000},
+  {{0.60000000000000, 0.10000000000000, 0.20000000000000}, +0.027557319224000},
+  {{0.60000000000000, 0.10000000000000, 0.10000000000000}, +0.027557319224000},
+  {{0.60000000000000, 0.20000000000000, 0.10000000000000}, +0.027557319224000}
 };
 
 // 4 negative weights, 0 points outside of the tetrahedron 
@@ -312,49 +304,49 @@ IntPt tetP7Solin[31] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP8Solin[43] = {
-  {{0.25 , 0.25 , 0.25}, -0.123001131952},
-  {{0.206829931611 , 0.206829931611 , 0.206829931611}, 0.0855018349372},
-  {{0.206829931611 , 0.206829931611 , 0.379510205168}, 0.0855018349372},
-  {{0.206829931611 , 0.379510205168 , 0.206829931611}, 0.0855018349372},
-  {{0.379510205168 , 0.206829931611 , 0.206829931611}, 0.0855018349372},
-  {{0.0821035883105 , 0.0821035883105 , 0.0821035883105}, 0.0118021998788},
-  {{0.0821035883105 , 0.0821035883105 , 0.753689235068}, 0.0118021998788},
-  {{0.0821035883105 , 0.753689235068 , 0.0821035883105}, 0.0118021998788},
-  {{0.753689235068 , 0.0821035883105 , 0.0821035883105}, 0.0118021998788},
-  {{0.0057819505052 , 0.0057819505052 , 0.0057819505052}, 0.00101900465456},
-  {{0.0057819505052 , 0.0057819505052 , 0.982654148484}, 0.00101900465456},
-  {{0.0057819505052 , 0.982654148484 , 0.0057819505052}, 0.00101900465456},
-  {{0.982654148484 , 0.0057819505052 , 0.0057819505052}, 0.00101900465456},
-  {{0.0505327400189 , 0.0505327400189 , 0.449467259981}, 0.0274781029468},
-  {{0.0505327400189 , 0.449467259981 , 0.0505327400189}, 0.0274781029468},
-  {{0.449467259981 , 0.0505327400189 , 0.0505327400189}, 0.0274781029468},
-  {{0.0505327400189 , 0.449467259981 , 0.449467259981}, 0.0274781029468},
-  {{0.449467259981 , 0.0505327400189 , 0.449467259981}, 0.0274781029468},
-  {{0.449467259981 , 0.449467259981 , 0.0505327400189}, 0.0274781029468},
-  {{0.229066536117 , 0.229066536117 , 0.0356395827885}, 0.0342269148521},
-  {{0.229066536117 , 0.0356395827885 , 0.229066536117}, 0.0342269148521},
-  {{0.229066536117 , 0.229066536117 , 0.506227344978}, 0.0342269148521},
-  {{0.229066536117 , 0.506227344978 , 0.229066536117}, 0.0342269148521},
-  {{0.229066536117 , 0.0356395827885 , 0.506227344978}, 0.0342269148521},
-  {{0.229066536117 , 0.506227344978 , 0.0356395827885}, 0.0342269148521},
-  {{0.0356395827885 , 0.229066536117 , 0.229066536117}, 0.0342269148521},
-  {{0.0356395827885 , 0.229066536117 , 0.506227344978}, 0.0342269148521},
-  {{0.0356395827885 , 0.506227344978 , 0.229066536117}, 0.0342269148521},
-  {{0.506227344978 , 0.229066536117 , 0.0356395827885}, 0.0342269148521},
-  {{0.506227344978 , 0.229066536117 , 0.229066536117}, 0.0342269148521},
-  {{0.506227344978 , 0.0356395827885 , 0.229066536117}, 0.0342269148521},
-  {{0.0366077495532 , 0.0366077495532 , 0.190486041935}, 0.012843114847},
-  {{0.0366077495532 , 0.190486041935 , 0.0366077495532}, 0.012843114847},
-  {{0.0366077495532 , 0.0366077495532 , 0.736298458959}, 0.012843114847},
-  {{0.0366077495532 , 0.736298458959 , 0.0366077495532}, 0.012843114847},
-  {{0.0366077495532 , 0.190486041935 , 0.736298458959}, 0.012843114847},
-  {{0.0366077495532 , 0.736298458959 , 0.190486041935}, 0.012843114847},
-  {{0.190486041935 , 0.0366077495532 , 0.0366077495532}, 0.012843114847},
-  {{0.190486041935 , 0.0366077495532 , 0.736298458959}, 0.012843114847},
-  {{0.190486041935 , 0.736298458959 , 0.0366077495532}, 0.012843114847},
-  {{0.736298458959 , 0.0366077495532 , 0.190486041935}, 0.012843114847},
-  {{0.736298458959 , 0.0366077495532 , 0.0366077495532}, 0.012843114847},
-  {{0.736298458959 , 0.190486041935 , 0.0366077495532}, 0.012843114847}
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -0.020500188658667},
+  {{0.2068299316110, 0.2068299316110, 0.2068299316110}, +0.014250305822867},
+  {{0.2068299316110, 0.2068299316110, 0.3795102051680}, +0.014250305822867},
+  {{0.2068299316110, 0.3795102051680, 0.2068299316110}, +0.014250305822867},
+  {{0.3795102051680, 0.2068299316110, 0.2068299316110}, +0.014250305822867},
+  {{0.0821035883105, 0.0821035883105, 0.0821035883105}, +0.001967033313133},
+  {{0.0821035883105, 0.0821035883105, 0.7536892350680}, +0.001967033313133},
+  {{0.0821035883105, 0.7536892350680, 0.0821035883105}, +0.001967033313133},
+  {{0.7536892350680, 0.0821035883105, 0.0821035883105}, +0.001967033313133},
+  {{0.0057819505052, 0.0057819505052, 0.0057819505052}, +0.000169834109093},
+  {{0.0057819505052, 0.0057819505052, 0.9826541484840}, +0.000169834109093},
+  {{0.0057819505052, 0.9826541484840, 0.0057819505052}, +0.000169834109093},
+  {{0.9826541484840, 0.0057819505052, 0.0057819505052}, +0.000169834109093},
+  {{0.0505327400189, 0.0505327400189, 0.4494672599810}, +0.004579683824467},
+  {{0.0505327400189, 0.4494672599810, 0.0505327400189}, +0.004579683824467},
+  {{0.4494672599810, 0.0505327400189, 0.0505327400189}, +0.004579683824467},
+  {{0.0505327400189, 0.4494672599810, 0.4494672599810}, +0.004579683824467},
+  {{0.4494672599810, 0.0505327400189, 0.4494672599810}, +0.004579683824467},
+  {{0.4494672599810, 0.4494672599810, 0.0505327400189}, +0.004579683824467},
+  {{0.2290665361170, 0.2290665361170, 0.0356395827885}, +0.005704485808683},
+  {{0.2290665361170, 0.0356395827885, 0.2290665361170}, +0.005704485808683},
+  {{0.2290665361170, 0.2290665361170, 0.5062273449780}, +0.005704485808683},
+  {{0.2290665361170, 0.5062273449780, 0.2290665361170}, +0.005704485808683},
+  {{0.2290665361170, 0.0356395827885, 0.5062273449780}, +0.005704485808683},
+  {{0.2290665361170, 0.5062273449780, 0.0356395827885}, +0.005704485808683},
+  {{0.0356395827885, 0.2290665361170, 0.2290665361170}, +0.005704485808683},
+  {{0.0356395827885, 0.2290665361170, 0.5062273449780}, +0.005704485808683},
+  {{0.0356395827885, 0.5062273449780, 0.2290665361170}, +0.005704485808683},
+  {{0.5062273449780, 0.2290665361170, 0.0356395827885}, +0.005704485808683},
+  {{0.5062273449780, 0.2290665361170, 0.2290665361170}, +0.005704485808683},
+  {{0.5062273449780, 0.0356395827885, 0.2290665361170}, +0.005704485808683},
+  {{0.0366077495532, 0.0366077495532, 0.1904860419350}, +0.002140519141167},
+  {{0.0366077495532, 0.1904860419350, 0.0366077495532}, +0.002140519141167},
+  {{0.0366077495532, 0.0366077495532, 0.7362984589590}, +0.002140519141167},
+  {{0.0366077495532, 0.7362984589590, 0.0366077495532}, +0.002140519141167},
+  {{0.0366077495532, 0.1904860419350, 0.7362984589590}, +0.002140519141167},
+  {{0.0366077495532, 0.7362984589590, 0.1904860419350}, +0.002140519141167},
+  {{0.1904860419350, 0.0366077495532, 0.0366077495532}, +0.002140519141167},
+  {{0.1904860419350, 0.0366077495532, 0.7362984589590}, +0.002140519141167},
+  {{0.1904860419350, 0.7362984589590, 0.0366077495532}, +0.002140519141167},
+  {{0.7362984589590, 0.0366077495532, 0.1904860419350}, +0.002140519141167},
+  {{0.7362984589590, 0.0366077495532, 0.0366077495532}, +0.002140519141167},
+  {{0.7362984589590, 0.1904860419350, 0.0366077495532}, +0.002140519141167}
 };
 
 // 1 negative weights, 0 points outside of the tetrahedron 
@@ -365,59 +357,59 @@ IntPt tetP8Solin[43] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP9Solin[53] = {
-  {{0.25 , 0.25 , 0.25}, -0.826794229957},
-  {{0.0483510385497 , 0.0483510385497 , 0.0483510385497}, 0.0111920194145},
-  {{0.0483510385497 , 0.0483510385497 , 0.854946884351}, 0.0111920194145},
-  {{0.0483510385497 , 0.854946884351 , 0.0483510385497}, 0.0111920194145},
-  {{0.854946884351 , 0.0483510385497 , 0.0483510385497}, 0.0111920194145},
-  {{0.324579280118 , 0.324579280118 , 0.324579280118}, 0.025856543817},
-  {{0.324579280118 , 0.324579280118 , 0.0262621596464}, 0.025856543817},
-  {{0.324579280118 , 0.0262621596464 , 0.324579280118}, 0.025856543817},
-  {{0.0262621596464 , 0.324579280118 , 0.324579280118}, 0.025856543817},
-  {{0.114616540224 , 0.114616540224 , 0.114616540224}, -0.541108598887},
-  {{0.114616540224 , 0.114616540224 , 0.656150379328}, -0.541108598887},
-  {{0.114616540224 , 0.656150379328 , 0.114616540224}, -0.541108598887},
-  {{0.656150379328 , 0.114616540224 , 0.114616540224}, -0.541108598887},
-  {{0.225489951912 , 0.225489951912 , 0.225489951912}, 0.268035457215},
-  {{0.225489951912 , 0.225489951912 , 0.323530144265}, 0.268035457215},
-  {{0.225489951912 , 0.323530144265 , 0.225489951912}, 0.268035457215},
-  {{0.323530144265 , 0.225489951912 , 0.225489951912}, 0.268035457215},
-  {{0.131627809247 , 0.131627809247 , 0.0836647016172}, 0.208202435307},
-  {{0.131627809247 , 0.0836647016172 , 0.131627809247}, 0.208202435307},
-  {{0.131627809247 , 0.131627809247 , 0.653079679889}, 0.208202435307},
-  {{0.131627809247 , 0.653079679889 , 0.131627809247}, 0.208202435307},
-  {{0.131627809247 , 0.0836647016172 , 0.653079679889}, 0.208202435307},
-  {{0.131627809247 , 0.653079679889 , 0.0836647016172}, 0.208202435307},
-  {{0.0836647016172 , 0.131627809247 , 0.131627809247}, 0.208202435307},
-  {{0.0836647016172 , 0.131627809247 , 0.653079679889}, 0.208202435307},
-  {{0.0836647016172 , 0.653079679889 , 0.131627809247}, 0.208202435307},
-  {{0.653079679889 , 0.131627809247 , 0.0836647016172}, 0.208202435307},
-  {{0.653079679889 , 0.131627809247 , 0.131627809247}, 0.208202435307},
-  {{0.653079679889 , 0.0836647016172 , 0.131627809247}, 0.208202435307},
-  {{0.433951461411 , 0.433951461411 , 0.107769859549}, 0.020115503416},
-  {{0.433951461411 , 0.107769859549 , 0.433951461411}, 0.020115503416},
-  {{0.433951461411 , 0.433951461411 , 0.0243272176278}, 0.020115503416},
-  {{0.433951461411 , 0.0243272176278 , 0.433951461411}, 0.020115503416},
-  {{0.433951461411 , 0.107769859549 , 0.0243272176278}, 0.020115503416},
-  {{0.433951461411 , 0.0243272176278 , 0.107769859549}, 0.020115503416},
-  {{0.107769859549 , 0.433951461411 , 0.433951461411}, 0.020115503416},
-  {{0.107769859549 , 0.433951461411 , 0.0243272176278}, 0.020115503416},
-  {{0.107769859549 , 0.0243272176278 , 0.433951461411}, 0.020115503416},
-  {{0.0243272176278 , 0.433951461411 , 0.107769859549}, 0.020115503416},
-  {{0.0243272176278 , 0.433951461411 , 0.433951461411}, 0.020115503416},
-  {{0.0243272176278 , 0.107769859549 , 0.433951461411}, 0.020115503416},
-  {{-0.00137627731814 , -0.00137627731814 , 0.276553472637}, 0.00258977325334},
-  {{-0.00137627731814 , 0.276553472637 , -0.00137627731814}, 0.00258977325334},
-  {{-0.00137627731814 , -0.00137627731814 , 0.726199081999}, 0.00258977325334},
-  {{-0.00137627731814 , 0.726199081999 , -0.00137627731814}, 0.00258977325334},
-  {{-0.00137627731814 , 0.276553472637 , 0.726199081999}, 0.00258977325334},
-  {{-0.00137627731814 , 0.726199081999 , 0.276553472637}, 0.00258977325334},
-  {{0.276553472637 , -0.00137627731814 , -0.00137627731814}, 0.00258977325334},
-  {{0.276553472637 , -0.00137627731814 , 0.726199081999}, 0.00258977325334},
-  {{0.276553472637 , 0.726199081999 , -0.00137627731814}, 0.00258977325334},
-  {{0.726199081999 , -0.00137627731814 , 0.276553472637}, 0.00258977325334},
-  {{0.726199081999 , -0.00137627731814 , -0.00137627731814}, 0.00258977325334},
-  {{0.726199081999 , 0.276553472637 , -0.00137627731814}, 0.00258977325334}
+  {{+0.25000000000000, +0.25000000000000, +0.25000000000000}, -0.137799038326167},
+  {{+0.04835103854970, +0.04835103854970, +0.04835103854970}, +0.001865336569083},
+  {{+0.04835103854970, +0.04835103854970, +0.85494688435100}, +0.001865336569083},
+  {{+0.04835103854970, +0.85494688435100, +0.04835103854970}, +0.001865336569083},
+  {{+0.85494688435100, +0.04835103854970, +0.04835103854970}, +0.001865336569083},
+  {{+0.32457928011800, +0.32457928011800, +0.32457928011800}, +0.004309423969500},
+  {{+0.32457928011800, +0.32457928011800, +0.02626215964640}, +0.004309423969500},
+  {{+0.32457928011800, +0.02626215964640, +0.32457928011800}, +0.004309423969500},
+  {{+0.02626215964640, +0.32457928011800, +0.32457928011800}, +0.004309423969500},
+  {{+0.11461654022400, +0.11461654022400, +0.11461654022400}, -0.090184766481167},
+  {{+0.11461654022400, +0.11461654022400, +0.65615037932800}, -0.090184766481167},
+  {{+0.11461654022400, +0.65615037932800, +0.11461654022400}, -0.090184766481167},
+  {{+0.65615037932800, +0.11461654022400, +0.11461654022400}, -0.090184766481167},
+  {{+0.22548995191200, +0.22548995191200, +0.22548995191200}, +0.044672576202500},
+  {{+0.22548995191200, +0.22548995191200, +0.32353014426500}, +0.044672576202500},
+  {{+0.22548995191200, +0.32353014426500, +0.22548995191200}, +0.044672576202500},
+  {{+0.32353014426500, +0.22548995191200, +0.22548995191200}, +0.044672576202500},
+  {{+0.13162780924700, +0.13162780924700, +0.08366470161720}, +0.034700405884500},
+  {{+0.13162780924700, +0.08366470161720, +0.13162780924700}, +0.034700405884500},
+  {{+0.13162780924700, +0.13162780924700, +0.65307967988900}, +0.034700405884500},
+  {{+0.13162780924700, +0.65307967988900, +0.13162780924700}, +0.034700405884500},
+  {{+0.13162780924700, +0.08366470161720, +0.65307967988900}, +0.034700405884500},
+  {{+0.13162780924700, +0.65307967988900, +0.08366470161720}, +0.034700405884500},
+  {{+0.08366470161720, +0.13162780924700, +0.13162780924700}, +0.034700405884500},
+  {{+0.08366470161720, +0.13162780924700, +0.65307967988900}, +0.034700405884500},
+  {{+0.08366470161720, +0.65307967988900, +0.13162780924700}, +0.034700405884500},
+  {{+0.65307967988900, +0.13162780924700, +0.08366470161720}, +0.034700405884500},
+  {{+0.65307967988900, +0.13162780924700, +0.13162780924700}, +0.034700405884500},
+  {{+0.65307967988900, +0.08366470161720, +0.13162780924700}, +0.034700405884500},
+  {{+0.43395146141100, +0.43395146141100, +0.10776985954900}, +0.003352583902667},
+  {{+0.43395146141100, +0.10776985954900, +0.43395146141100}, +0.003352583902667},
+  {{+0.43395146141100, +0.43395146141100, +0.02432721762780}, +0.003352583902667},
+  {{+0.43395146141100, +0.02432721762780, +0.43395146141100}, +0.003352583902667},
+  {{+0.43395146141100, +0.10776985954900, +0.02432721762780}, +0.003352583902667},
+  {{+0.43395146141100, +0.02432721762780, +0.10776985954900}, +0.003352583902667},
+  {{+0.10776985954900, +0.43395146141100, +0.43395146141100}, +0.003352583902667},
+  {{+0.10776985954900, +0.43395146141100, +0.02432721762780}, +0.003352583902667},
+  {{+0.10776985954900, +0.02432721762780, +0.43395146141100}, +0.003352583902667},
+  {{+0.02432721762780, +0.43395146141100, +0.10776985954900}, +0.003352583902667},
+  {{+0.02432721762780, +0.43395146141100, +0.43395146141100}, +0.003352583902667},
+  {{+0.02432721762780, +0.10776985954900, +0.43395146141100}, +0.003352583902667},
+  {{-0.00137627731814, -0.00137627731814, +0.27655347263700}, +0.000431628875557},
+  {{-0.00137627731814, +0.27655347263700, -0.00137627731814}, +0.000431628875557},
+  {{-0.00137627731814, -0.00137627731814, +0.72619908199900}, +0.000431628875557},
+  {{-0.00137627731814, +0.72619908199900, -0.00137627731814}, +0.000431628875557},
+  {{-0.00137627731814, +0.27655347263700, +0.72619908199900}, +0.000431628875557},
+  {{-0.00137627731814, +0.72619908199900, +0.27655347263700}, +0.000431628875557},
+  {{+0.27655347263700, -0.00137627731814, -0.00137627731814}, +0.000431628875557},
+  {{+0.27655347263700, -0.00137627731814, +0.72619908199900}, +0.000431628875557},
+  {{+0.27655347263700, +0.72619908199900, -0.00137627731814}, +0.000431628875557},
+  {{+0.72619908199900, -0.00137627731814, +0.27655347263700}, +0.000431628875557},
+  {{+0.72619908199900, -0.00137627731814, -0.00137627731814}, +0.000431628875557},
+  {{+0.72619908199900, +0.27655347263700, -0.00137627731814}, +0.000431628875557}
 };
 
 // 5 negative weights, 12 points outside of the tetrahedron 
@@ -428,132 +420,132 @@ IntPt tetP9Solin[53] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP11Solin[126] = {
-  {{0.0714285714286 , 0.0714285714286 , 0.785714285714}, 0.27217694439},
-  {{0.0714285714286 , 0.214285714286 , 0.642857142857}, 0.27217694439},
-  {{0.0714285714286 , 0.357142857143 , 0.5}, 0.27217694439},
-  {{0.0714285714286 , 0.5 , 0.357142857143}, 0.27217694439},
-  {{0.0714285714286 , 0.642857142857 , 0.214285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.785714285714 , 0.0714285714286}, 0.27217694439},
-  {{0.214285714286 , 0.0714285714286 , 0.642857142857}, 0.27217694439},
-  {{0.214285714286 , 0.214285714286 , 0.5}, 0.27217694439},
-  {{0.214285714286 , 0.357142857143 , 0.357142857143}, 0.27217694439},
-  {{0.214285714286 , 0.5 , 0.214285714286}, 0.27217694439},
-  {{0.214285714286 , 0.642857142857 , 0.0714285714286}, 0.27217694439},
-  {{0.357142857143 , 0.0714285714286 , 0.5}, 0.27217694439},
-  {{0.357142857143 , 0.214285714286 , 0.357142857143}, 0.27217694439},
-  {{0.357142857143 , 0.357142857143 , 0.214285714286}, 0.27217694439},
-  {{0.357142857143 , 0.5 , 0.0714285714286}, 0.27217694439},
-  {{0.5 , 0.0714285714286 , 0.357142857143}, 0.27217694439},
-  {{0.5 , 0.214285714286 , 0.214285714286}, 0.27217694439},
-  {{0.5 , 0.357142857143 , 0.0714285714286}, 0.27217694439},
-  {{0.642857142857 , 0.0714285714286 , 0.214285714286}, 0.27217694439},
-  {{0.642857142857 , 0.214285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.785714285714 , 0.0714285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.0714285714286 , 0.642857142857}, 0.27217694439},
-  {{0.0714285714286 , 0.214285714286 , 0.5}, 0.27217694439},
-  {{0.0714285714286 , 0.357142857143 , 0.357142857143}, 0.27217694439},
-  {{0.0714285714286 , 0.5 , 0.214285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.642857142857 , 0.0714285714286}, 0.27217694439},
-  {{0.214285714286 , 0.0714285714286 , 0.5}, 0.27217694439},
-  {{0.214285714286 , 0.214285714286 , 0.357142857143}, 0.27217694439},
-  {{0.214285714286 , 0.357142857143 , 0.214285714286}, 0.27217694439},
-  {{0.214285714286 , 0.5 , 0.0714285714286}, 0.27217694439},
-  {{0.357142857143 , 0.0714285714286 , 0.357142857143}, 0.27217694439},
-  {{0.357142857143 , 0.214285714286 , 0.214285714286}, 0.27217694439},
-  {{0.357142857143 , 0.357142857143 , 0.0714285714286}, 0.27217694439},
-  {{0.5 , 0.0714285714286 , 0.214285714286}, 0.27217694439},
-  {{0.5 , 0.214285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.642857142857 , 0.0714285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.0714285714286 , 0.5}, 0.27217694439},
-  {{0.0714285714286 , 0.214285714286 , 0.357142857143}, 0.27217694439},
-  {{0.0714285714286 , 0.357142857143 , 0.214285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.5 , 0.0714285714286}, 0.27217694439},
-  {{0.214285714286 , 0.0714285714286 , 0.357142857143}, 0.27217694439},
-  {{0.214285714286 , 0.214285714286 , 0.214285714286}, 0.27217694439},
-  {{0.214285714286 , 0.357142857143 , 0.0714285714286}, 0.27217694439},
-  {{0.357142857143 , 0.0714285714286 , 0.214285714286}, 0.27217694439},
-  {{0.357142857143 , 0.214285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.5 , 0.0714285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.0714285714286 , 0.357142857143}, 0.27217694439},
-  {{0.0714285714286 , 0.214285714286 , 0.214285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.357142857143 , 0.0714285714286}, 0.27217694439},
-  {{0.214285714286 , 0.0714285714286 , 0.214285714286}, 0.27217694439},
-  {{0.214285714286 , 0.214285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.357142857143 , 0.0714285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.0714285714286 , 0.214285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.214285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.214285714286 , 0.0714285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.0714285714286 , 0.0714285714286 , 0.0714285714286}, 0.27217694439},
-  {{0.0833333333333 , 0.0833333333333 , 0.75}, -0.699140859141},
-  {{0.0833333333333 , 0.25 , 0.583333333333}, -0.699140859141},
-  {{0.0833333333333 , 0.416666666667 , 0.416666666667}, -0.699140859141},
-  {{0.0833333333333 , 0.583333333333 , 0.25}, -0.699140859141},
-  {{0.0833333333333 , 0.75 , 0.0833333333333}, -0.699140859141},
-  {{0.25 , 0.0833333333333 , 0.583333333333}, -0.699140859141},
-  {{0.25 , 0.25 , 0.416666666667}, -0.699140859141},
-  {{0.25 , 0.416666666667 , 0.25}, -0.699140859141},
-  {{0.25 , 0.583333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.416666666667 , 0.0833333333333 , 0.416666666667}, -0.699140859141},
-  {{0.416666666667 , 0.25 , 0.25}, -0.699140859141},
-  {{0.416666666667 , 0.416666666667 , 0.0833333333333}, -0.699140859141},
-  {{0.583333333333 , 0.0833333333333 , 0.25}, -0.699140859141},
-  {{0.583333333333 , 0.25 , 0.0833333333333}, -0.699140859141},
-  {{0.75 , 0.0833333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.0833333333333 , 0.0833333333333 , 0.583333333333}, -0.699140859141},
-  {{0.0833333333333 , 0.25 , 0.416666666667}, -0.699140859141},
-  {{0.0833333333333 , 0.416666666667 , 0.25}, -0.699140859141},
-  {{0.0833333333333 , 0.583333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.25 , 0.0833333333333 , 0.416666666667}, -0.699140859141},
-  {{0.25 , 0.25 , 0.25}, -0.699140859141},
-  {{0.25 , 0.416666666667 , 0.0833333333333}, -0.699140859141},
-  {{0.416666666667 , 0.0833333333333 , 0.25}, -0.699140859141},
-  {{0.416666666667 , 0.25 , 0.0833333333333}, -0.699140859141},
-  {{0.583333333333 , 0.0833333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.0833333333333 , 0.0833333333333 , 0.416666666667}, -0.699140859141},
-  {{0.0833333333333 , 0.25 , 0.25}, -0.699140859141},
-  {{0.0833333333333 , 0.416666666667 , 0.0833333333333}, -0.699140859141},
-  {{0.25 , 0.0833333333333 , 0.25}, -0.699140859141},
-  {{0.25 , 0.25 , 0.0833333333333}, -0.699140859141},
-  {{0.416666666667 , 0.0833333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.0833333333333 , 0.0833333333333 , 0.25}, -0.699140859141},
-  {{0.0833333333333 , 0.25 , 0.0833333333333}, -0.699140859141},
-  {{0.25 , 0.0833333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.0833333333333 , 0.0833333333333 , 0.0833333333333}, -0.699140859141},
-  {{0.1 , 0.1 , 0.7}, 0.611623739879},
-  {{0.1 , 0.3 , 0.5}, 0.611623739879},
-  {{0.1 , 0.5 , 0.3}, 0.611623739879},
-  {{0.1 , 0.7 , 0.1}, 0.611623739879},
-  {{0.3 , 0.1 , 0.5}, 0.611623739879},
-  {{0.3 , 0.3 , 0.3}, 0.611623739879},
-  {{0.3 , 0.5 , 0.1}, 0.611623739879},
-  {{0.5 , 0.1 , 0.3}, 0.611623739879},
-  {{0.5 , 0.3 , 0.1}, 0.611623739879},
-  {{0.7 , 0.1 , 0.1}, 0.611623739879},
-  {{0.1 , 0.1 , 0.5}, 0.611623739879},
-  {{0.1 , 0.3 , 0.3}, 0.611623739879},
-  {{0.1 , 0.5 , 0.1}, 0.611623739879},
-  {{0.3 , 0.1 , 0.3}, 0.611623739879},
-  {{0.3 , 0.3 , 0.1}, 0.611623739879},
-  {{0.5 , 0.1 , 0.1}, 0.611623739879},
-  {{0.1 , 0.1 , 0.3}, 0.611623739879},
-  {{0.1 , 0.3 , 0.1}, 0.611623739879},
-  {{0.3 , 0.1 , 0.1}, 0.611623739879},
-  {{0.1 , 0.1 , 0.1}, 0.611623739879},
-  {{0.125 , 0.125 , 0.625}, -0.210152316819},
-  {{0.125 , 0.375 , 0.375}, -0.210152316819},
-  {{0.125 , 0.625 , 0.125}, -0.210152316819},
-  {{0.375 , 0.125 , 0.375}, -0.210152316819},
-  {{0.375 , 0.375 , 0.125}, -0.210152316819},
-  {{0.625 , 0.125 , 0.125}, -0.210152316819},
-  {{0.125 , 0.125 , 0.375}, -0.210152316819},
-  {{0.125 , 0.375 , 0.125}, -0.210152316819},
-  {{0.375 , 0.125 , 0.125}, -0.210152316819},
-  {{0.125 , 0.125 , 0.125}, -0.210152316819},
-  {{0.166666666667 , 0.166666666667 , 0.5}, 0.0244084821429},
-  {{0.166666666667 , 0.5 , 0.166666666667}, 0.0244084821429},
-  {{0.5 , 0.166666666667 , 0.166666666667}, 0.0244084821429},
-  {{0.166666666667 , 0.166666666667 , 0.166666666667}, 0.0244084821429},
-  {{0.25 , 0.25 , 0.25}, -0.000564373897707}
+  {{0.0714285714286, 0.0714285714286, 0.7857142857140}, +0.045362824065000},
+  {{0.0714285714286, 0.2142857142860, 0.6428571428570}, +0.045362824065000},
+  {{0.0714285714286, 0.3571428571430, 0.5000000000000}, +0.045362824065000},
+  {{0.0714285714286, 0.5000000000000, 0.3571428571430}, +0.045362824065000},
+  {{0.0714285714286, 0.6428571428570, 0.2142857142860}, +0.045362824065000},
+  {{0.0714285714286, 0.7857142857140, 0.0714285714286}, +0.045362824065000},
+  {{0.2142857142860, 0.0714285714286, 0.6428571428570}, +0.045362824065000},
+  {{0.2142857142860, 0.2142857142860, 0.5000000000000}, +0.045362824065000},
+  {{0.2142857142860, 0.3571428571430, 0.3571428571430}, +0.045362824065000},
+  {{0.2142857142860, 0.5000000000000, 0.2142857142860}, +0.045362824065000},
+  {{0.2142857142860, 0.6428571428570, 0.0714285714286}, +0.045362824065000},
+  {{0.3571428571430, 0.0714285714286, 0.5000000000000}, +0.045362824065000},
+  {{0.3571428571430, 0.2142857142860, 0.3571428571430}, +0.045362824065000},
+  {{0.3571428571430, 0.3571428571430, 0.2142857142860}, +0.045362824065000},
+  {{0.3571428571430, 0.5000000000000, 0.0714285714286}, +0.045362824065000},
+  {{0.5000000000000, 0.0714285714286, 0.3571428571430}, +0.045362824065000},
+  {{0.5000000000000, 0.2142857142860, 0.2142857142860}, +0.045362824065000},
+  {{0.5000000000000, 0.3571428571430, 0.0714285714286}, +0.045362824065000},
+  {{0.6428571428570, 0.0714285714286, 0.2142857142860}, +0.045362824065000},
+  {{0.6428571428570, 0.2142857142860, 0.0714285714286}, +0.045362824065000},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, +0.045362824065000},
+  {{0.0714285714286, 0.0714285714286, 0.6428571428570}, +0.045362824065000},
+  {{0.0714285714286, 0.2142857142860, 0.5000000000000}, +0.045362824065000},
+  {{0.0714285714286, 0.3571428571430, 0.3571428571430}, +0.045362824065000},
+  {{0.0714285714286, 0.5000000000000, 0.2142857142860}, +0.045362824065000},
+  {{0.0714285714286, 0.6428571428570, 0.0714285714286}, +0.045362824065000},
+  {{0.2142857142860, 0.0714285714286, 0.5000000000000}, +0.045362824065000},
+  {{0.2142857142860, 0.2142857142860, 0.3571428571430}, +0.045362824065000},
+  {{0.2142857142860, 0.3571428571430, 0.2142857142860}, +0.045362824065000},
+  {{0.2142857142860, 0.5000000000000, 0.0714285714286}, +0.045362824065000},
+  {{0.3571428571430, 0.0714285714286, 0.3571428571430}, +0.045362824065000},
+  {{0.3571428571430, 0.2142857142860, 0.2142857142860}, +0.045362824065000},
+  {{0.3571428571430, 0.3571428571430, 0.0714285714286}, +0.045362824065000},
+  {{0.5000000000000, 0.0714285714286, 0.2142857142860}, +0.045362824065000},
+  {{0.5000000000000, 0.2142857142860, 0.0714285714286}, +0.045362824065000},
+  {{0.6428571428570, 0.0714285714286, 0.0714285714286}, +0.045362824065000},
+  {{0.0714285714286, 0.0714285714286, 0.5000000000000}, +0.045362824065000},
+  {{0.0714285714286, 0.2142857142860, 0.3571428571430}, +0.045362824065000},
+  {{0.0714285714286, 0.3571428571430, 0.2142857142860}, +0.045362824065000},
+  {{0.0714285714286, 0.5000000000000, 0.0714285714286}, +0.045362824065000},
+  {{0.2142857142860, 0.0714285714286, 0.3571428571430}, +0.045362824065000},
+  {{0.2142857142860, 0.2142857142860, 0.2142857142860}, +0.045362824065000},
+  {{0.2142857142860, 0.3571428571430, 0.0714285714286}, +0.045362824065000},
+  {{0.3571428571430, 0.0714285714286, 0.2142857142860}, +0.045362824065000},
+  {{0.3571428571430, 0.2142857142860, 0.0714285714286}, +0.045362824065000},
+  {{0.5000000000000, 0.0714285714286, 0.0714285714286}, +0.045362824065000},
+  {{0.0714285714286, 0.0714285714286, 0.3571428571430}, +0.045362824065000},
+  {{0.0714285714286, 0.2142857142860, 0.2142857142860}, +0.045362824065000},
+  {{0.0714285714286, 0.3571428571430, 0.0714285714286}, +0.045362824065000},
+  {{0.2142857142860, 0.0714285714286, 0.2142857142860}, +0.045362824065000},
+  {{0.2142857142860, 0.2142857142860, 0.0714285714286}, +0.045362824065000},
+  {{0.3571428571430, 0.0714285714286, 0.0714285714286}, +0.045362824065000},
+  {{0.0714285714286, 0.0714285714286, 0.2142857142860}, +0.045362824065000},
+  {{0.0714285714286, 0.2142857142860, 0.0714285714286}, +0.045362824065000},
+  {{0.2142857142860, 0.0714285714286, 0.0714285714286}, +0.045362824065000},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, +0.045362824065000},
+  {{0.0833333333333, 0.0833333333333, 0.7500000000000}, -0.116523476523500},
+  {{0.0833333333333, 0.2500000000000, 0.5833333333330}, -0.116523476523500},
+  {{0.0833333333333, 0.4166666666670, 0.4166666666670}, -0.116523476523500},
+  {{0.0833333333333, 0.5833333333330, 0.2500000000000}, -0.116523476523500},
+  {{0.0833333333333, 0.7500000000000, 0.0833333333333}, -0.116523476523500},
+  {{0.2500000000000, 0.0833333333333, 0.5833333333330}, -0.116523476523500},
+  {{0.2500000000000, 0.2500000000000, 0.4166666666670}, -0.116523476523500},
+  {{0.2500000000000, 0.4166666666670, 0.2500000000000}, -0.116523476523500},
+  {{0.2500000000000, 0.5833333333330, 0.0833333333333}, -0.116523476523500},
+  {{0.4166666666670, 0.0833333333333, 0.4166666666670}, -0.116523476523500},
+  {{0.4166666666670, 0.2500000000000, 0.2500000000000}, -0.116523476523500},
+  {{0.4166666666670, 0.4166666666670, 0.0833333333333}, -0.116523476523500},
+  {{0.5833333333330, 0.0833333333333, 0.2500000000000}, -0.116523476523500},
+  {{0.5833333333330, 0.2500000000000, 0.0833333333333}, -0.116523476523500},
+  {{0.7500000000000, 0.0833333333333, 0.0833333333333}, -0.116523476523500},
+  {{0.0833333333333, 0.0833333333333, 0.5833333333330}, -0.116523476523500},
+  {{0.0833333333333, 0.2500000000000, 0.4166666666670}, -0.116523476523500},
+  {{0.0833333333333, 0.4166666666670, 0.2500000000000}, -0.116523476523500},
+  {{0.0833333333333, 0.5833333333330, 0.0833333333333}, -0.116523476523500},
+  {{0.2500000000000, 0.0833333333333, 0.4166666666670}, -0.116523476523500},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -0.116523476523500},
+  {{0.2500000000000, 0.4166666666670, 0.0833333333333}, -0.116523476523500},
+  {{0.4166666666670, 0.0833333333333, 0.2500000000000}, -0.116523476523500},
+  {{0.4166666666670, 0.2500000000000, 0.0833333333333}, -0.116523476523500},
+  {{0.5833333333330, 0.0833333333333, 0.0833333333333}, -0.116523476523500},
+  {{0.0833333333333, 0.0833333333333, 0.4166666666670}, -0.116523476523500},
+  {{0.0833333333333, 0.2500000000000, 0.2500000000000}, -0.116523476523500},
+  {{0.0833333333333, 0.4166666666670, 0.0833333333333}, -0.116523476523500},
+  {{0.2500000000000, 0.0833333333333, 0.2500000000000}, -0.116523476523500},
+  {{0.2500000000000, 0.2500000000000, 0.0833333333333}, -0.116523476523500},
+  {{0.4166666666670, 0.0833333333333, 0.0833333333333}, -0.116523476523500},
+  {{0.0833333333333, 0.0833333333333, 0.2500000000000}, -0.116523476523500},
+  {{0.0833333333333, 0.2500000000000, 0.0833333333333}, -0.116523476523500},
+  {{0.2500000000000, 0.0833333333333, 0.0833333333333}, -0.116523476523500},
+  {{0.0833333333333, 0.0833333333333, 0.0833333333333}, -0.116523476523500},
+  {{0.1000000000000, 0.1000000000000, 0.7000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.3000000000000, 0.5000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.5000000000000, 0.3000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.7000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.3000000000000, 0.1000000000000, 0.5000000000000}, +0.101937289979833},
+  {{0.3000000000000, 0.3000000000000, 0.3000000000000}, +0.101937289979833},
+  {{0.3000000000000, 0.5000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.5000000000000, 0.1000000000000, 0.3000000000000}, +0.101937289979833},
+  {{0.5000000000000, 0.3000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.7000000000000, 0.1000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.1000000000000, 0.5000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.3000000000000, 0.3000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.5000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.3000000000000, 0.1000000000000, 0.3000000000000}, +0.101937289979833},
+  {{0.3000000000000, 0.3000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.5000000000000, 0.1000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.1000000000000, 0.3000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.3000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.3000000000000, 0.1000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.1000000000000, 0.1000000000000, 0.1000000000000}, +0.101937289979833},
+  {{0.1250000000000, 0.1250000000000, 0.6250000000000}, -0.035025386136500},
+  {{0.1250000000000, 0.3750000000000, 0.3750000000000}, -0.035025386136500},
+  {{0.1250000000000, 0.6250000000000, 0.1250000000000}, -0.035025386136500},
+  {{0.3750000000000, 0.1250000000000, 0.3750000000000}, -0.035025386136500},
+  {{0.3750000000000, 0.3750000000000, 0.1250000000000}, -0.035025386136500},
+  {{0.6250000000000, 0.1250000000000, 0.1250000000000}, -0.035025386136500},
+  {{0.1250000000000, 0.1250000000000, 0.3750000000000}, -0.035025386136500},
+  {{0.1250000000000, 0.3750000000000, 0.1250000000000}, -0.035025386136500},
+  {{0.3750000000000, 0.1250000000000, 0.1250000000000}, -0.035025386136500},
+  {{0.1250000000000, 0.1250000000000, 0.1250000000000}, -0.035025386136500},
+  {{0.1666666666670, 0.1666666666670, 0.5000000000000}, +0.004068080357150},
+  {{0.1666666666670, 0.5000000000000, 0.1666666666670}, +0.004068080357150},
+  {{0.5000000000000, 0.1666666666670, 0.1666666666670}, +0.004068080357150},
+  {{0.1666666666670, 0.1666666666670, 0.1666666666670}, +0.004068080357150},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -9.4062316284e-05}
 };
 
 // 46 negative weights, 0 points outside of the tetrahedron 
@@ -564,216 +556,216 @@ IntPt tetP11Solin[126] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP13Solin[210] = {
-  {{0.0625 , 0.0625 , 0.8125}, 0.315305454099},
-  {{0.0625 , 0.1875 , 0.6875}, 0.315305454099},
-  {{0.0625 , 0.3125 , 0.5625}, 0.315305454099},
-  {{0.0625 , 0.4375 , 0.4375}, 0.315305454099},
-  {{0.0625 , 0.5625 , 0.3125}, 0.315305454099},
-  {{0.0625 , 0.6875 , 0.1875}, 0.315305454099},
-  {{0.0625 , 0.8125 , 0.0625}, 0.315305454099},
-  {{0.1875 , 0.0625 , 0.6875}, 0.315305454099},
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+  {{0.0625000000000, 0.1875000000000, 0.4375000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.3125000000000, 0.3125000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.4375000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.5625000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.0625000000000, 0.4375000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.1875000000000, 0.3125000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.3125000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.4375000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.3125000000000, 0.0625000000000, 0.3125000000000}, +0.052550909016500},
+  {{0.3125000000000, 0.1875000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.3125000000000, 0.3125000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.4375000000000, 0.0625000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.4375000000000, 0.1875000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.5625000000000, 0.0625000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.0625000000000, 0.4375000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.1875000000000, 0.3125000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.3125000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.4375000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.0625000000000, 0.3125000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.1875000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.3125000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.3125000000000, 0.0625000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.3125000000000, 0.1875000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.4375000000000, 0.0625000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.0625000000000, 0.3125000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.1875000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.3125000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.0625000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.1875000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.3125000000000, 0.0625000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.0625000000000, 0.1875000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.1875000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.1875000000000, 0.0625000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.0625000000000, 0.0625000000000, 0.0625000000000}, +0.052550909016500},
+  {{0.0714285714286, 0.0714285714286, 0.7857142857140}, -0.148185225279333},
+  {{0.0714285714286, 0.2142857142860, 0.6428571428570}, -0.148185225279333},
+  {{0.0714285714286, 0.3571428571430, 0.5000000000000}, -0.148185225279333},
+  {{0.0714285714286, 0.5000000000000, 0.3571428571430}, -0.148185225279333},
+  {{0.0714285714286, 0.6428571428570, 0.2142857142860}, -0.148185225279333},
+  {{0.0714285714286, 0.7857142857140, 0.0714285714286}, -0.148185225279333},
+  {{0.2142857142860, 0.0714285714286, 0.6428571428570}, -0.148185225279333},
+  {{0.2142857142860, 0.2142857142860, 0.5000000000000}, -0.148185225279333},
+  {{0.2142857142860, 0.3571428571430, 0.3571428571430}, -0.148185225279333},
+  {{0.2142857142860, 0.5000000000000, 0.2142857142860}, -0.148185225279333},
+  {{0.2142857142860, 0.6428571428570, 0.0714285714286}, -0.148185225279333},
+  {{0.3571428571430, 0.0714285714286, 0.5000000000000}, -0.148185225279333},
+  {{0.3571428571430, 0.2142857142860, 0.3571428571430}, -0.148185225279333},
+  {{0.3571428571430, 0.3571428571430, 0.2142857142860}, -0.148185225279333},
+  {{0.3571428571430, 0.5000000000000, 0.0714285714286}, -0.148185225279333},
+  {{0.5000000000000, 0.0714285714286, 0.3571428571430}, -0.148185225279333},
+  {{0.5000000000000, 0.2142857142860, 0.2142857142860}, -0.148185225279333},
+  {{0.5000000000000, 0.3571428571430, 0.0714285714286}, -0.148185225279333},
+  {{0.6428571428570, 0.0714285714286, 0.2142857142860}, -0.148185225279333},
+  {{0.6428571428570, 0.2142857142860, 0.0714285714286}, -0.148185225279333},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, -0.148185225279333},
+  {{0.0714285714286, 0.0714285714286, 0.6428571428570}, -0.148185225279333},
+  {{0.0714285714286, 0.2142857142860, 0.5000000000000}, -0.148185225279333},
+  {{0.0714285714286, 0.3571428571430, 0.3571428571430}, -0.148185225279333},
+  {{0.0714285714286, 0.5000000000000, 0.2142857142860}, -0.148185225279333},
+  {{0.0714285714286, 0.6428571428570, 0.0714285714286}, -0.148185225279333},
+  {{0.2142857142860, 0.0714285714286, 0.5000000000000}, -0.148185225279333},
+  {{0.2142857142860, 0.2142857142860, 0.3571428571430}, -0.148185225279333},
+  {{0.2142857142860, 0.3571428571430, 0.2142857142860}, -0.148185225279333},
+  {{0.2142857142860, 0.5000000000000, 0.0714285714286}, -0.148185225279333},
+  {{0.3571428571430, 0.0714285714286, 0.3571428571430}, -0.148185225279333},
+  {{0.3571428571430, 0.2142857142860, 0.2142857142860}, -0.148185225279333},
+  {{0.3571428571430, 0.3571428571430, 0.0714285714286}, -0.148185225279333},
+  {{0.5000000000000, 0.0714285714286, 0.2142857142860}, -0.148185225279333},
+  {{0.5000000000000, 0.2142857142860, 0.0714285714286}, -0.148185225279333},
+  {{0.6428571428570, 0.0714285714286, 0.0714285714286}, -0.148185225279333},
+  {{0.0714285714286, 0.0714285714286, 0.5000000000000}, -0.148185225279333},
+  {{0.0714285714286, 0.2142857142860, 0.3571428571430}, -0.148185225279333},
+  {{0.0714285714286, 0.3571428571430, 0.2142857142860}, -0.148185225279333},
+  {{0.0714285714286, 0.5000000000000, 0.0714285714286}, -0.148185225279333},
+  {{0.2142857142860, 0.0714285714286, 0.3571428571430}, -0.148185225279333},
+  {{0.2142857142860, 0.2142857142860, 0.2142857142860}, -0.148185225279333},
+  {{0.2142857142860, 0.3571428571430, 0.0714285714286}, -0.148185225279333},
+  {{0.3571428571430, 0.0714285714286, 0.2142857142860}, -0.148185225279333},
+  {{0.3571428571430, 0.2142857142860, 0.0714285714286}, -0.148185225279333},
+  {{0.5000000000000, 0.0714285714286, 0.0714285714286}, -0.148185225279333},
+  {{0.0714285714286, 0.0714285714286, 0.3571428571430}, -0.148185225279333},
+  {{0.0714285714286, 0.2142857142860, 0.2142857142860}, -0.148185225279333},
+  {{0.0714285714286, 0.3571428571430, 0.0714285714286}, -0.148185225279333},
+  {{0.2142857142860, 0.0714285714286, 0.2142857142860}, -0.148185225279333},
+  {{0.2142857142860, 0.2142857142860, 0.0714285714286}, -0.148185225279333},
+  {{0.3571428571430, 0.0714285714286, 0.0714285714286}, -0.148185225279333},
+  {{0.0714285714286, 0.0714285714286, 0.2142857142860}, -0.148185225279333},
+  {{0.0714285714286, 0.2142857142860, 0.0714285714286}, -0.148185225279333},
+  {{0.2142857142860, 0.0714285714286, 0.0714285714286}, -0.148185225279333},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, -0.148185225279333},
+  {{0.0833333333333, 0.0833333333333, 0.7500000000000}, +0.149815898387333},
+  {{0.0833333333333, 0.2500000000000, 0.5833333333330}, +0.149815898387333},
+  {{0.0833333333333, 0.4166666666670, 0.4166666666670}, +0.149815898387333},
+  {{0.0833333333333, 0.5833333333330, 0.2500000000000}, +0.149815898387333},
+  {{0.0833333333333, 0.7500000000000, 0.0833333333333}, +0.149815898387333},
+  {{0.2500000000000, 0.0833333333333, 0.5833333333330}, +0.149815898387333},
+  {{0.2500000000000, 0.2500000000000, 0.4166666666670}, +0.149815898387333},
+  {{0.2500000000000, 0.4166666666670, 0.2500000000000}, +0.149815898387333},
+  {{0.2500000000000, 0.5833333333330, 0.0833333333333}, +0.149815898387333},
+  {{0.4166666666670, 0.0833333333333, 0.4166666666670}, +0.149815898387333},
+  {{0.4166666666670, 0.2500000000000, 0.2500000000000}, +0.149815898387333},
+  {{0.4166666666670, 0.4166666666670, 0.0833333333333}, +0.149815898387333},
+  {{0.5833333333330, 0.0833333333333, 0.2500000000000}, +0.149815898387333},
+  {{0.5833333333330, 0.2500000000000, 0.0833333333333}, +0.149815898387333},
+  {{0.7500000000000, 0.0833333333333, 0.0833333333333}, +0.149815898387333},
+  {{0.0833333333333, 0.0833333333333, 0.5833333333330}, +0.149815898387333},
+  {{0.0833333333333, 0.2500000000000, 0.4166666666670}, +0.149815898387333},
+  {{0.0833333333333, 0.4166666666670, 0.2500000000000}, +0.149815898387333},
+  {{0.0833333333333, 0.5833333333330, 0.0833333333333}, +0.149815898387333},
+  {{0.2500000000000, 0.0833333333333, 0.4166666666670}, +0.149815898387333},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, +0.149815898387333},
+  {{0.2500000000000, 0.4166666666670, 0.0833333333333}, +0.149815898387333},
+  {{0.4166666666670, 0.0833333333333, 0.2500000000000}, +0.149815898387333},
+  {{0.4166666666670, 0.2500000000000, 0.0833333333333}, +0.149815898387333},
+  {{0.5833333333330, 0.0833333333333, 0.0833333333333}, +0.149815898387333},
+  {{0.0833333333333, 0.0833333333333, 0.4166666666670}, +0.149815898387333},
+  {{0.0833333333333, 0.2500000000000, 0.2500000000000}, +0.149815898387333},
+  {{0.0833333333333, 0.4166666666670, 0.0833333333333}, +0.149815898387333},
+  {{0.2500000000000, 0.0833333333333, 0.2500000000000}, +0.149815898387333},
+  {{0.2500000000000, 0.2500000000000, 0.0833333333333}, +0.149815898387333},
+  {{0.4166666666670, 0.0833333333333, 0.0833333333333}, +0.149815898387333},
+  {{0.0833333333333, 0.0833333333333, 0.2500000000000}, +0.149815898387333},
+  {{0.0833333333333, 0.2500000000000, 0.0833333333333}, +0.149815898387333},
+  {{0.2500000000000, 0.0833333333333, 0.0833333333333}, +0.149815898387333},
+  {{0.0833333333333, 0.0833333333333, 0.0833333333333}, +0.149815898387333},
+  {{0.1000000000000, 0.1000000000000, 0.7000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.3000000000000, 0.5000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.5000000000000, 0.3000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.7000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.3000000000000, 0.1000000000000, 0.5000000000000}, -0.065344416653667},
+  {{0.3000000000000, 0.3000000000000, 0.3000000000000}, -0.065344416653667},
+  {{0.3000000000000, 0.5000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.5000000000000, 0.1000000000000, 0.3000000000000}, -0.065344416653667},
+  {{0.5000000000000, 0.3000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.7000000000000, 0.1000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.1000000000000, 0.5000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.3000000000000, 0.3000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.5000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.3000000000000, 0.1000000000000, 0.3000000000000}, -0.065344416653667},
+  {{0.3000000000000, 0.3000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.5000000000000, 0.1000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.1000000000000, 0.3000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.3000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.3000000000000, 0.1000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.1000000000000, 0.1000000000000, 0.1000000000000}, -0.065344416653667},
+  {{0.1250000000000, 0.1250000000000, 0.6250000000000}, +0.011675128712167},
+  {{0.1250000000000, 0.3750000000000, 0.3750000000000}, +0.011675128712167},
+  {{0.1250000000000, 0.6250000000000, 0.1250000000000}, +0.011675128712167},
+  {{0.3750000000000, 0.1250000000000, 0.3750000000000}, +0.011675128712167},
+  {{0.3750000000000, 0.3750000000000, 0.1250000000000}, +0.011675128712167},
+  {{0.6250000000000, 0.1250000000000, 0.1250000000000}, +0.011675128712167},
+  {{0.1250000000000, 0.1250000000000, 0.3750000000000}, +0.011675128712167},
+  {{0.1250000000000, 0.3750000000000, 0.1250000000000}, +0.011675128712167},
+  {{0.3750000000000, 0.1250000000000, 0.1250000000000}, +0.011675128712167},
+  {{0.1250000000000, 0.1250000000000, 0.1250000000000}, +0.011675128712167},
+  {{0.1666666666670, 0.1666666666670, 0.5000000000000}, -0.000665685876623},
+  {{0.1666666666670, 0.5000000000000, 0.1666666666670}, -0.000665685876623},
+  {{0.5000000000000, 0.1666666666670, 0.1666666666670}, -0.000665685876623},
+  {{0.1666666666670, 0.1666666666670, 0.1666666666670}, -0.000665685876623},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, +6.270821086e-06}
 };
 
 // 80 negative weights, 0 points outside of the tetrahedron 
@@ -784,336 +776,336 @@ IntPt tetP13Solin[210] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP15Solin[330] = {
-  {{0.0555555555556 , 0.0555555555556 , 0.833333333333}, 0.385902744622},
-  {{0.0555555555556 , 0.166666666667 , 0.722222222222}, 0.385902744622},
-  {{0.0555555555556 , 0.277777777778 , 0.611111111111}, 0.385902744622},
-  {{0.0555555555556 , 0.388888888889 , 0.5}, 0.385902744622},
-  {{0.0555555555556 , 0.5 , 0.388888888889}, 0.385902744622},
-  {{0.0555555555556 , 0.611111111111 , 0.277777777778}, 0.385902744622},
-  {{0.0555555555556 , 0.722222222222 , 0.166666666667}, 0.385902744622},
-  {{0.0555555555556 , 0.833333333333 , 0.0555555555556}, 0.385902744622},
-  {{0.166666666667 , 0.0555555555556 , 0.722222222222}, 0.385902744622},
-  {{0.166666666667 , 0.166666666667 , 0.611111111111}, 0.385902744622},
-  {{0.166666666667 , 0.277777777778 , 0.5}, 0.385902744622},
-  {{0.166666666667 , 0.388888888889 , 0.388888888889}, 0.385902744622},
-  {{0.166666666667 , 0.5 , 0.277777777778}, 0.385902744622},
-  {{0.166666666667 , 0.611111111111 , 0.166666666667}, 0.385902744622},
-  {{0.166666666667 , 0.722222222222 , 0.0555555555556}, 0.385902744622},
-  {{0.277777777778 , 0.0555555555556 , 0.611111111111}, 0.385902744622},
-  {{0.277777777778 , 0.166666666667 , 0.5}, 0.385902744622},
-  {{0.277777777778 , 0.277777777778 , 0.388888888889}, 0.385902744622},
-  {{0.277777777778 , 0.388888888889 , 0.277777777778}, 0.385902744622},
-  {{0.277777777778 , 0.5 , 0.166666666667}, 0.385902744622},
-  {{0.277777777778 , 0.611111111111 , 0.0555555555556}, 0.385902744622},
-  {{0.388888888889 , 0.0555555555556 , 0.5}, 0.385902744622},
-  {{0.388888888889 , 0.166666666667 , 0.388888888889}, 0.385902744622},
-  {{0.388888888889 , 0.277777777778 , 0.277777777778}, 0.385902744622},
-  {{0.388888888889 , 0.388888888889 , 0.166666666667}, 0.385902744622},
-  {{0.388888888889 , 0.5 , 0.0555555555556}, 0.385902744622},
-  {{0.5 , 0.0555555555556 , 0.388888888889}, 0.385902744622},
-  {{0.5 , 0.166666666667 , 0.277777777778}, 0.385902744622},
-  {{0.5 , 0.277777777778 , 0.166666666667}, 0.385902744622},
-  {{0.5 , 0.388888888889 , 0.0555555555556}, 0.385902744622},
-  {{0.611111111111 , 0.0555555555556 , 0.277777777778}, 0.385902744622},
-  {{0.611111111111 , 0.166666666667 , 0.166666666667}, 0.385902744622},
-  {{0.611111111111 , 0.277777777778 , 0.0555555555556}, 0.385902744622},
-  {{0.722222222222 , 0.0555555555556 , 0.166666666667}, 0.385902744622},
-  {{0.722222222222 , 0.166666666667 , 0.0555555555556}, 0.385902744622},
-  {{0.833333333333 , 0.0555555555556 , 0.0555555555556}, 0.385902744622},
-  {{0.0555555555556 , 0.0555555555556 , 0.722222222222}, 0.385902744622},
-  {{0.0555555555556 , 0.166666666667 , 0.611111111111}, 0.385902744622},
-  {{0.0555555555556 , 0.277777777778 , 0.5}, 0.385902744622},
-  {{0.0555555555556 , 0.388888888889 , 0.388888888889}, 0.385902744622},
-  {{0.0555555555556 , 0.5 , 0.277777777778}, 0.385902744622},
-  {{0.0555555555556 , 0.611111111111 , 0.166666666667}, 0.385902744622},
-  {{0.0555555555556 , 0.722222222222 , 0.0555555555556}, 0.385902744622},
-  {{0.166666666667 , 0.0555555555556 , 0.611111111111}, 0.385902744622},
-  {{0.166666666667 , 0.166666666667 , 0.5}, 0.385902744622},
-  {{0.166666666667 , 0.277777777778 , 0.388888888889}, 0.385902744622},
-  {{0.166666666667 , 0.388888888889 , 0.277777777778}, 0.385902744622},
-  {{0.166666666667 , 0.5 , 0.166666666667}, 0.385902744622},
-  {{0.166666666667 , 0.611111111111 , 0.0555555555556}, 0.385902744622},
-  {{0.277777777778 , 0.0555555555556 , 0.5}, 0.385902744622},
-  {{0.277777777778 , 0.166666666667 , 0.388888888889}, 0.385902744622},
-  {{0.277777777778 , 0.277777777778 , 0.277777777778}, 0.385902744622},
-  {{0.277777777778 , 0.388888888889 , 0.166666666667}, 0.385902744622},
-  {{0.277777777778 , 0.5 , 0.0555555555556}, 0.385902744622},
-  {{0.388888888889 , 0.0555555555556 , 0.388888888889}, 0.385902744622},
-  {{0.388888888889 , 0.166666666667 , 0.277777777778}, 0.385902744622},
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+  {{0.0625000000000, 0.0625000000000, 0.1875000000000}, -0.197838716296667},
+  {{0.0625000000000, 0.1875000000000, 0.0625000000000}, -0.197838716296667},
+  {{0.1875000000000, 0.0625000000000, 0.0625000000000}, -0.197838716296667},
+  {{0.0625000000000, 0.0625000000000, 0.0625000000000}, -0.197838716296667},
+  {{0.0714285714286, 0.0714285714286, 0.7857142857140}, +0.226908626208333},
+  {{0.0714285714286, 0.2142857142860, 0.6428571428570}, +0.226908626208333},
+  {{0.0714285714286, 0.3571428571430, 0.5000000000000}, +0.226908626208333},
+  {{0.0714285714286, 0.5000000000000, 0.3571428571430}, +0.226908626208333},
+  {{0.0714285714286, 0.6428571428570, 0.2142857142860}, +0.226908626208333},
+  {{0.0714285714286, 0.7857142857140, 0.0714285714286}, +0.226908626208333},
+  {{0.2142857142860, 0.0714285714286, 0.6428571428570}, +0.226908626208333},
+  {{0.2142857142860, 0.2142857142860, 0.5000000000000}, +0.226908626208333},
+  {{0.2142857142860, 0.3571428571430, 0.3571428571430}, +0.226908626208333},
+  {{0.2142857142860, 0.5000000000000, 0.2142857142860}, +0.226908626208333},
+  {{0.2142857142860, 0.6428571428570, 0.0714285714286}, +0.226908626208333},
+  {{0.3571428571430, 0.0714285714286, 0.5000000000000}, +0.226908626208333},
+  {{0.3571428571430, 0.2142857142860, 0.3571428571430}, +0.226908626208333},
+  {{0.3571428571430, 0.3571428571430, 0.2142857142860}, +0.226908626208333},
+  {{0.3571428571430, 0.5000000000000, 0.0714285714286}, +0.226908626208333},
+  {{0.5000000000000, 0.0714285714286, 0.3571428571430}, +0.226908626208333},
+  {{0.5000000000000, 0.2142857142860, 0.2142857142860}, +0.226908626208333},
+  {{0.5000000000000, 0.3571428571430, 0.0714285714286}, +0.226908626208333},
+  {{0.6428571428570, 0.0714285714286, 0.2142857142860}, +0.226908626208333},
+  {{0.6428571428570, 0.2142857142860, 0.0714285714286}, +0.226908626208333},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, +0.226908626208333},
+  {{0.0714285714286, 0.0714285714286, 0.6428571428570}, +0.226908626208333},
+  {{0.0714285714286, 0.2142857142860, 0.5000000000000}, +0.226908626208333},
+  {{0.0714285714286, 0.3571428571430, 0.3571428571430}, +0.226908626208333},
+  {{0.0714285714286, 0.5000000000000, 0.2142857142860}, +0.226908626208333},
+  {{0.0714285714286, 0.6428571428570, 0.0714285714286}, +0.226908626208333},
+  {{0.2142857142860, 0.0714285714286, 0.5000000000000}, +0.226908626208333},
+  {{0.2142857142860, 0.2142857142860, 0.3571428571430}, +0.226908626208333},
+  {{0.2142857142860, 0.3571428571430, 0.2142857142860}, +0.226908626208333},
+  {{0.2142857142860, 0.5000000000000, 0.0714285714286}, +0.226908626208333},
+  {{0.3571428571430, 0.0714285714286, 0.3571428571430}, +0.226908626208333},
+  {{0.3571428571430, 0.2142857142860, 0.2142857142860}, +0.226908626208333},
+  {{0.3571428571430, 0.3571428571430, 0.0714285714286}, +0.226908626208333},
+  {{0.5000000000000, 0.0714285714286, 0.2142857142860}, +0.226908626208333},
+  {{0.5000000000000, 0.2142857142860, 0.0714285714286}, +0.226908626208333},
+  {{0.6428571428570, 0.0714285714286, 0.0714285714286}, +0.226908626208333},
+  {{0.0714285714286, 0.0714285714286, 0.5000000000000}, +0.226908626208333},
+  {{0.0714285714286, 0.2142857142860, 0.3571428571430}, +0.226908626208333},
+  {{0.0714285714286, 0.3571428571430, 0.2142857142860}, +0.226908626208333},
+  {{0.0714285714286, 0.5000000000000, 0.0714285714286}, +0.226908626208333},
+  {{0.2142857142860, 0.0714285714286, 0.3571428571430}, +0.226908626208333},
+  {{0.2142857142860, 0.2142857142860, 0.2142857142860}, +0.226908626208333},
+  {{0.2142857142860, 0.3571428571430, 0.0714285714286}, +0.226908626208333},
+  {{0.3571428571430, 0.0714285714286, 0.2142857142860}, +0.226908626208333},
+  {{0.3571428571430, 0.2142857142860, 0.0714285714286}, +0.226908626208333},
+  {{0.5000000000000, 0.0714285714286, 0.0714285714286}, +0.226908626208333},
+  {{0.0714285714286, 0.0714285714286, 0.3571428571430}, +0.226908626208333},
+  {{0.0714285714286, 0.2142857142860, 0.2142857142860}, +0.226908626208333},
+  {{0.0714285714286, 0.3571428571430, 0.0714285714286}, +0.226908626208333},
+  {{0.2142857142860, 0.0714285714286, 0.2142857142860}, +0.226908626208333},
+  {{0.2142857142860, 0.2142857142860, 0.0714285714286}, +0.226908626208333},
+  {{0.3571428571430, 0.0714285714286, 0.0714285714286}, +0.226908626208333},
+  {{0.0714285714286, 0.0714285714286, 0.2142857142860}, +0.226908626208333},
+  {{0.0714285714286, 0.2142857142860, 0.0714285714286}, +0.226908626208333},
+  {{0.2142857142860, 0.0714285714286, 0.0714285714286}, +0.226908626208333},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, +0.226908626208333},
+  {{0.0833333333333, 0.0833333333333, 0.7500000000000}, -0.119852718709833},
+  {{0.0833333333333, 0.2500000000000, 0.5833333333330}, -0.119852718709833},
+  {{0.0833333333333, 0.4166666666670, 0.4166666666670}, -0.119852718709833},
+  {{0.0833333333333, 0.5833333333330, 0.2500000000000}, -0.119852718709833},
+  {{0.0833333333333, 0.7500000000000, 0.0833333333333}, -0.119852718709833},
+  {{0.2500000000000, 0.0833333333333, 0.5833333333330}, -0.119852718709833},
+  {{0.2500000000000, 0.2500000000000, 0.4166666666670}, -0.119852718709833},
+  {{0.2500000000000, 0.4166666666670, 0.2500000000000}, -0.119852718709833},
+  {{0.2500000000000, 0.5833333333330, 0.0833333333333}, -0.119852718709833},
+  {{0.4166666666670, 0.0833333333333, 0.4166666666670}, -0.119852718709833},
+  {{0.4166666666670, 0.2500000000000, 0.2500000000000}, -0.119852718709833},
+  {{0.4166666666670, 0.4166666666670, 0.0833333333333}, -0.119852718709833},
+  {{0.5833333333330, 0.0833333333333, 0.2500000000000}, -0.119852718709833},
+  {{0.5833333333330, 0.2500000000000, 0.0833333333333}, -0.119852718709833},
+  {{0.7500000000000, 0.0833333333333, 0.0833333333333}, -0.119852718709833},
+  {{0.0833333333333, 0.0833333333333, 0.5833333333330}, -0.119852718709833},
+  {{0.0833333333333, 0.2500000000000, 0.4166666666670}, -0.119852718709833},
+  {{0.0833333333333, 0.4166666666670, 0.2500000000000}, -0.119852718709833},
+  {{0.0833333333333, 0.5833333333330, 0.0833333333333}, -0.119852718709833},
+  {{0.2500000000000, 0.0833333333333, 0.4166666666670}, -0.119852718709833},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -0.119852718709833},
+  {{0.2500000000000, 0.4166666666670, 0.0833333333333}, -0.119852718709833},
+  {{0.4166666666670, 0.0833333333333, 0.2500000000000}, -0.119852718709833},
+  {{0.4166666666670, 0.2500000000000, 0.0833333333333}, -0.119852718709833},
+  {{0.5833333333330, 0.0833333333333, 0.0833333333333}, -0.119852718709833},
+  {{0.0833333333333, 0.0833333333333, 0.4166666666670}, -0.119852718709833},
+  {{0.0833333333333, 0.2500000000000, 0.2500000000000}, -0.119852718709833},
+  {{0.0833333333333, 0.4166666666670, 0.0833333333333}, -0.119852718709833},
+  {{0.2500000000000, 0.0833333333333, 0.2500000000000}, -0.119852718709833},
+  {{0.2500000000000, 0.2500000000000, 0.0833333333333}, -0.119852718709833},
+  {{0.4166666666670, 0.0833333333333, 0.0833333333333}, -0.119852718709833},
+  {{0.0833333333333, 0.0833333333333, 0.2500000000000}, -0.119852718709833},
+  {{0.0833333333333, 0.2500000000000, 0.0833333333333}, -0.119852718709833},
+  {{0.2500000000000, 0.0833333333333, 0.0833333333333}, -0.119852718709833},
+  {{0.0833333333333, 0.0833333333333, 0.0833333333333}, -0.119852718709833},
+  {{0.1000000000000, 0.1000000000000, 0.7000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.3000000000000, 0.5000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.5000000000000, 0.3000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.7000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.3000000000000, 0.1000000000000, 0.5000000000000}, +0.029171614577500},
+  {{0.3000000000000, 0.3000000000000, 0.3000000000000}, +0.029171614577500},
+  {{0.3000000000000, 0.5000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.5000000000000, 0.1000000000000, 0.3000000000000}, +0.029171614577500},
+  {{0.5000000000000, 0.3000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.7000000000000, 0.1000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.1000000000000, 0.5000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.3000000000000, 0.3000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.5000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.3000000000000, 0.1000000000000, 0.3000000000000}, +0.029171614577500},
+  {{0.3000000000000, 0.3000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.5000000000000, 0.1000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.1000000000000, 0.3000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.3000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.3000000000000, 0.1000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.1000000000000, 0.1000000000000, 0.1000000000000}, +0.029171614577500},
+  {{0.1250000000000, 0.1250000000000, 0.6250000000000}, -0.002873877836833},
+  {{0.1250000000000, 0.3750000000000, 0.3750000000000}, -0.002873877836833},
+  {{0.1250000000000, 0.6250000000000, 0.1250000000000}, -0.002873877836833},
+  {{0.3750000000000, 0.1250000000000, 0.3750000000000}, -0.002873877836833},
+  {{0.3750000000000, 0.3750000000000, 0.1250000000000}, -0.002873877836833},
+  {{0.6250000000000, 0.1250000000000, 0.1250000000000}, -0.002873877836833},
+  {{0.1250000000000, 0.1250000000000, 0.3750000000000}, -0.002873877836833},
+  {{0.1250000000000, 0.3750000000000, 0.1250000000000}, -0.002873877836833},
+  {{0.3750000000000, 0.1250000000000, 0.1250000000000}, -0.002873877836833},
+  {{0.1250000000000, 0.1250000000000, 0.1250000000000}, -0.002873877836833},
+  {{0.1666666666670, 0.1666666666670, 0.5000000000000}, +8.3210734578e-05},
+  {{0.1666666666670, 0.5000000000000, 0.1666666666670}, +8.3210734578e-05},
+  {{0.5000000000000, 0.1666666666670, 0.1666666666670}, +8.3210734578e-05},
+  {{0.1666666666670, 0.1666666666670, 0.1666666666670}, +8.3210734578e-05},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -3.25756939e-07}
 };
 
 // 130 negative weights, 0 points outside of the tetrahedron 
@@ -1124,501 +1116,501 @@ IntPt tetP15Solin[330] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP17Solin[495] = {
-  {{0.05 , 0.05 , 0.85}, 0.493238114797},
-  {{0.05 , 0.15 , 0.75}, 0.493238114797},
-  {{0.05 , 0.25 , 0.65}, 0.493238114797},
-  {{0.05 , 0.35 , 0.55}, 0.493238114797},
-  {{0.05 , 0.45 , 0.45}, 0.493238114797},
-  {{0.05 , 0.55 , 0.35}, 0.493238114797},
-  {{0.05 , 0.65 , 0.25}, 0.493238114797},
-  {{0.05 , 0.75 , 0.15}, 0.493238114797},
-  {{0.05 , 0.85 , 0.05}, 0.493238114797},
-  {{0.15 , 0.05 , 0.75}, 0.493238114797},
-  {{0.15 , 0.15 , 0.65}, 0.493238114797},
-  {{0.15 , 0.25 , 0.55}, 0.493238114797},
-  {{0.15 , 0.35 , 0.45}, 0.493238114797},
-  {{0.15 , 0.45 , 0.35}, 0.493238114797},
-  {{0.15 , 0.55 , 0.25}, 0.493238114797},
-  {{0.15 , 0.65 , 0.15}, 0.493238114797},
-  {{0.15 , 0.75 , 0.05}, 0.493238114797},
-  {{0.25 , 0.05 , 0.65}, 0.493238114797},
-  {{0.25 , 0.15 , 0.55}, 0.493238114797},
-  {{0.25 , 0.25 , 0.45}, 0.493238114797},
-  {{0.25 , 0.35 , 0.35}, 0.493238114797},
-  {{0.25 , 0.45 , 0.25}, 0.493238114797},
-  {{0.25 , 0.55 , 0.15}, 0.493238114797},
-  {{0.25 , 0.65 , 0.05}, 0.493238114797},
-  {{0.35 , 0.05 , 0.55}, 0.493238114797},
-  {{0.35 , 0.15 , 0.45}, 0.493238114797},
-  {{0.35 , 0.25 , 0.35}, 0.493238114797},
-  {{0.35 , 0.35 , 0.25}, 0.493238114797},
-  {{0.35 , 0.45 , 0.15}, 0.493238114797},
-  {{0.35 , 0.55 , 0.05}, 0.493238114797},
-  {{0.45 , 0.05 , 0.45}, 0.493238114797},
-  {{0.45 , 0.15 , 0.35}, 0.493238114797},
-  {{0.45 , 0.25 , 0.25}, 0.493238114797},
-  {{0.45 , 0.35 , 0.15}, 0.493238114797},
-  {{0.45 , 0.45 , 0.05}, 0.493238114797},
-  {{0.55 , 0.05 , 0.35}, 0.493238114797},
-  {{0.55 , 0.15 , 0.25}, 0.493238114797},
-  {{0.55 , 0.25 , 0.15}, 0.493238114797},
-  {{0.55 , 0.35 , 0.05}, 0.493238114797},
-  {{0.65 , 0.05 , 0.25}, 0.493238114797},
-  {{0.65 , 0.15 , 0.15}, 0.493238114797},
-  {{0.65 , 0.25 , 0.05}, 0.493238114797},
-  {{0.75 , 0.05 , 0.15}, 0.493238114797},
-  {{0.75 , 0.15 , 0.05}, 0.493238114797},
-  {{0.85 , 0.05 , 0.05}, 0.493238114797},
-  {{0.05 , 0.05 , 0.75}, 0.493238114797},
-  {{0.05 , 0.15 , 0.65}, 0.493238114797},
-  {{0.05 , 0.25 , 0.55}, 0.493238114797},
-  {{0.05 , 0.35 , 0.45}, 0.493238114797},
-  {{0.05 , 0.45 , 0.35}, 0.493238114797},
-  {{0.05 , 0.55 , 0.25}, 0.493238114797},
-  {{0.05 , 0.65 , 0.15}, 0.493238114797},
-  {{0.05 , 0.75 , 0.05}, 0.493238114797},
-  {{0.15 , 0.05 , 0.65}, 0.493238114797},
-  {{0.15 , 0.15 , 0.55}, 0.493238114797},
-  {{0.15 , 0.25 , 0.45}, 0.493238114797},
-  {{0.15 , 0.35 , 0.35}, 0.493238114797},
-  {{0.15 , 0.45 , 0.25}, 0.493238114797},
-  {{0.15 , 0.55 , 0.15}, 0.493238114797},
-  {{0.15 , 0.65 , 0.05}, 0.493238114797},
-  {{0.25 , 0.05 , 0.55}, 0.493238114797},
-  {{0.25 , 0.15 , 0.45}, 0.493238114797},
-  {{0.25 , 0.25 , 0.35}, 0.493238114797},
-  {{0.25 , 0.35 , 0.25}, 0.493238114797},
-  {{0.25 , 0.45 , 0.15}, 0.493238114797},
-  {{0.25 , 0.55 , 0.05}, 0.493238114797},
-  {{0.35 , 0.05 , 0.45}, 0.493238114797},
-  {{0.35 , 0.15 , 0.35}, 0.493238114797},
-  {{0.35 , 0.25 , 0.25}, 0.493238114797},
-  {{0.35 , 0.35 , 0.15}, 0.493238114797},
-  {{0.35 , 0.45 , 0.05}, 0.493238114797},
-  {{0.45 , 0.05 , 0.35}, 0.493238114797},
-  {{0.45 , 0.15 , 0.25}, 0.493238114797},
-  {{0.45 , 0.25 , 0.15}, 0.493238114797},
-  {{0.45 , 0.35 , 0.05}, 0.493238114797},
-  {{0.55 , 0.05 , 0.25}, 0.493238114797},
-  {{0.55 , 0.15 , 0.15}, 0.493238114797},
-  {{0.55 , 0.25 , 0.05}, 0.493238114797},
-  {{0.65 , 0.05 , 0.15}, 0.493238114797},
-  {{0.65 , 0.15 , 0.05}, 0.493238114797},
-  {{0.75 , 0.05 , 0.05}, 0.493238114797},
-  {{0.05 , 0.05 , 0.65}, 0.493238114797},
-  {{0.05 , 0.15 , 0.55}, 0.493238114797},
-  {{0.05 , 0.25 , 0.45}, 0.493238114797},
-  {{0.05 , 0.35 , 0.35}, 0.493238114797},
-  {{0.05 , 0.45 , 0.25}, 0.493238114797},
-  {{0.05 , 0.55 , 0.15}, 0.493238114797},
-  {{0.05 , 0.65 , 0.05}, 0.493238114797},
-  {{0.15 , 0.05 , 0.55}, 0.493238114797},
-  {{0.15 , 0.15 , 0.45}, 0.493238114797},
-  {{0.15 , 0.25 , 0.35}, 0.493238114797},
-  {{0.15 , 0.35 , 0.25}, 0.493238114797},
-  {{0.15 , 0.45 , 0.15}, 0.493238114797},
-  {{0.15 , 0.55 , 0.05}, 0.493238114797},
-  {{0.25 , 0.05 , 0.45}, 0.493238114797},
-  {{0.25 , 0.15 , 0.35}, 0.493238114797},
-  {{0.25 , 0.25 , 0.25}, 0.493238114797},
-  {{0.25 , 0.35 , 0.15}, 0.493238114797},
-  {{0.25 , 0.45 , 0.05}, 0.493238114797},
-  {{0.35 , 0.05 , 0.35}, 0.493238114797},
-  {{0.35 , 0.15 , 0.25}, 0.493238114797},
-  {{0.35 , 0.25 , 0.15}, 0.493238114797},
-  {{0.35 , 0.35 , 0.05}, 0.493238114797},
-  {{0.45 , 0.05 , 0.25}, 0.493238114797},
-  {{0.45 , 0.15 , 0.15}, 0.493238114797},
-  {{0.45 , 0.25 , 0.05}, 0.493238114797},
-  {{0.55 , 0.05 , 0.15}, 0.493238114797},
-  {{0.55 , 0.15 , 0.05}, 0.493238114797},
-  {{0.65 , 0.05 , 0.05}, 0.493238114797},
-  {{0.05 , 0.05 , 0.55}, 0.493238114797},
-  {{0.05 , 0.15 , 0.45}, 0.493238114797},
-  {{0.05 , 0.25 , 0.35}, 0.493238114797},
-  {{0.05 , 0.35 , 0.25}, 0.493238114797},
-  {{0.05 , 0.45 , 0.15}, 0.493238114797},
-  {{0.05 , 0.55 , 0.05}, 0.493238114797},
-  {{0.15 , 0.05 , 0.45}, 0.493238114797},
-  {{0.15 , 0.15 , 0.35}, 0.493238114797},
-  {{0.15 , 0.25 , 0.25}, 0.493238114797},
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+  {{0.0625000000000, 0.3125000000000, 0.1875000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.4375000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.1875000000000, 0.0625000000000, 0.3125000000000}, +0.351713273418333},
+  {{0.1875000000000, 0.1875000000000, 0.1875000000000}, +0.351713273418333},
+  {{0.1875000000000, 0.3125000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.3125000000000, 0.0625000000000, 0.1875000000000}, +0.351713273418333},
+  {{0.3125000000000, 0.1875000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.4375000000000, 0.0625000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.0625000000000, 0.3125000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.1875000000000, 0.1875000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.3125000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.1875000000000, 0.0625000000000, 0.1875000000000}, +0.351713273418333},
+  {{0.1875000000000, 0.1875000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.3125000000000, 0.0625000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.0625000000000, 0.1875000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.1875000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.1875000000000, 0.0625000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.0625000000000, 0.0625000000000, 0.0625000000000}, +0.351713273418333},
+  {{0.0714285714286, 0.0714285714286, 0.7857142857140}, -0.218010248710000},
+  {{0.0714285714286, 0.2142857142860, 0.6428571428570}, -0.218010248710000},
+  {{0.0714285714286, 0.3571428571430, 0.5000000000000}, -0.218010248710000},
+  {{0.0714285714286, 0.5000000000000, 0.3571428571430}, -0.218010248710000},
+  {{0.0714285714286, 0.6428571428570, 0.2142857142860}, -0.218010248710000},
+  {{0.0714285714286, 0.7857142857140, 0.0714285714286}, -0.218010248710000},
+  {{0.2142857142860, 0.0714285714286, 0.6428571428570}, -0.218010248710000},
+  {{0.2142857142860, 0.2142857142860, 0.5000000000000}, -0.218010248710000},
+  {{0.2142857142860, 0.3571428571430, 0.3571428571430}, -0.218010248710000},
+  {{0.2142857142860, 0.5000000000000, 0.2142857142860}, -0.218010248710000},
+  {{0.2142857142860, 0.6428571428570, 0.0714285714286}, -0.218010248710000},
+  {{0.3571428571430, 0.0714285714286, 0.5000000000000}, -0.218010248710000},
+  {{0.3571428571430, 0.2142857142860, 0.3571428571430}, -0.218010248710000},
+  {{0.3571428571430, 0.3571428571430, 0.2142857142860}, -0.218010248710000},
+  {{0.3571428571430, 0.5000000000000, 0.0714285714286}, -0.218010248710000},
+  {{0.5000000000000, 0.0714285714286, 0.3571428571430}, -0.218010248710000},
+  {{0.5000000000000, 0.2142857142860, 0.2142857142860}, -0.218010248710000},
+  {{0.5000000000000, 0.3571428571430, 0.0714285714286}, -0.218010248710000},
+  {{0.6428571428570, 0.0714285714286, 0.2142857142860}, -0.218010248710000},
+  {{0.6428571428570, 0.2142857142860, 0.0714285714286}, -0.218010248710000},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, -0.218010248710000},
+  {{0.0714285714286, 0.0714285714286, 0.6428571428570}, -0.218010248710000},
+  {{0.0714285714286, 0.2142857142860, 0.5000000000000}, -0.218010248710000},
+  {{0.0714285714286, 0.3571428571430, 0.3571428571430}, -0.218010248710000},
+  {{0.0714285714286, 0.5000000000000, 0.2142857142860}, -0.218010248710000},
+  {{0.0714285714286, 0.6428571428570, 0.0714285714286}, -0.218010248710000},
+  {{0.2142857142860, 0.0714285714286, 0.5000000000000}, -0.218010248710000},
+  {{0.2142857142860, 0.2142857142860, 0.3571428571430}, -0.218010248710000},
+  {{0.2142857142860, 0.3571428571430, 0.2142857142860}, -0.218010248710000},
+  {{0.2142857142860, 0.5000000000000, 0.0714285714286}, -0.218010248710000},
+  {{0.3571428571430, 0.0714285714286, 0.3571428571430}, -0.218010248710000},
+  {{0.3571428571430, 0.2142857142860, 0.2142857142860}, -0.218010248710000},
+  {{0.3571428571430, 0.3571428571430, 0.0714285714286}, -0.218010248710000},
+  {{0.5000000000000, 0.0714285714286, 0.2142857142860}, -0.218010248710000},
+  {{0.5000000000000, 0.2142857142860, 0.0714285714286}, -0.218010248710000},
+  {{0.6428571428570, 0.0714285714286, 0.0714285714286}, -0.218010248710000},
+  {{0.0714285714286, 0.0714285714286, 0.5000000000000}, -0.218010248710000},
+  {{0.0714285714286, 0.2142857142860, 0.3571428571430}, -0.218010248710000},
+  {{0.0714285714286, 0.3571428571430, 0.2142857142860}, -0.218010248710000},
+  {{0.0714285714286, 0.5000000000000, 0.0714285714286}, -0.218010248710000},
+  {{0.2142857142860, 0.0714285714286, 0.3571428571430}, -0.218010248710000},
+  {{0.2142857142860, 0.2142857142860, 0.2142857142860}, -0.218010248710000},
+  {{0.2142857142860, 0.3571428571430, 0.0714285714286}, -0.218010248710000},
+  {{0.3571428571430, 0.0714285714286, 0.2142857142860}, -0.218010248710000},
+  {{0.3571428571430, 0.2142857142860, 0.0714285714286}, -0.218010248710000},
+  {{0.5000000000000, 0.0714285714286, 0.0714285714286}, -0.218010248710000},
+  {{0.0714285714286, 0.0714285714286, 0.3571428571430}, -0.218010248710000},
+  {{0.0714285714286, 0.2142857142860, 0.2142857142860}, -0.218010248710000},
+  {{0.0714285714286, 0.3571428571430, 0.0714285714286}, -0.218010248710000},
+  {{0.2142857142860, 0.0714285714286, 0.2142857142860}, -0.218010248710000},
+  {{0.2142857142860, 0.2142857142860, 0.0714285714286}, -0.218010248710000},
+  {{0.3571428571430, 0.0714285714286, 0.0714285714286}, -0.218010248710000},
+  {{0.0714285714286, 0.0714285714286, 0.2142857142860}, -0.218010248710000},
+  {{0.0714285714286, 0.2142857142860, 0.0714285714286}, -0.218010248710000},
+  {{0.2142857142860, 0.0714285714286, 0.0714285714286}, -0.218010248710000},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, -0.218010248710000},
+  {{0.0833333333333, 0.0833333333333, 0.7500000000000}, +0.067417154274333},
+  {{0.0833333333333, 0.2500000000000, 0.5833333333330}, +0.067417154274333},
+  {{0.0833333333333, 0.4166666666670, 0.4166666666670}, +0.067417154274333},
+  {{0.0833333333333, 0.5833333333330, 0.2500000000000}, +0.067417154274333},
+  {{0.0833333333333, 0.7500000000000, 0.0833333333333}, +0.067417154274333},
+  {{0.2500000000000, 0.0833333333333, 0.5833333333330}, +0.067417154274333},
+  {{0.2500000000000, 0.2500000000000, 0.4166666666670}, +0.067417154274333},
+  {{0.2500000000000, 0.4166666666670, 0.2500000000000}, +0.067417154274333},
+  {{0.2500000000000, 0.5833333333330, 0.0833333333333}, +0.067417154274333},
+  {{0.4166666666670, 0.0833333333333, 0.4166666666670}, +0.067417154274333},
+  {{0.4166666666670, 0.2500000000000, 0.2500000000000}, +0.067417154274333},
+  {{0.4166666666670, 0.4166666666670, 0.0833333333333}, +0.067417154274333},
+  {{0.5833333333330, 0.0833333333333, 0.2500000000000}, +0.067417154274333},
+  {{0.5833333333330, 0.2500000000000, 0.0833333333333}, +0.067417154274333},
+  {{0.7500000000000, 0.0833333333333, 0.0833333333333}, +0.067417154274333},
+  {{0.0833333333333, 0.0833333333333, 0.5833333333330}, +0.067417154274333},
+  {{0.0833333333333, 0.2500000000000, 0.4166666666670}, +0.067417154274333},
+  {{0.0833333333333, 0.4166666666670, 0.2500000000000}, +0.067417154274333},
+  {{0.0833333333333, 0.5833333333330, 0.0833333333333}, +0.067417154274333},
+  {{0.2500000000000, 0.0833333333333, 0.4166666666670}, +0.067417154274333},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, +0.067417154274333},
+  {{0.2500000000000, 0.4166666666670, 0.0833333333333}, +0.067417154274333},
+  {{0.4166666666670, 0.0833333333333, 0.2500000000000}, +0.067417154274333},
+  {{0.4166666666670, 0.2500000000000, 0.0833333333333}, +0.067417154274333},
+  {{0.5833333333330, 0.0833333333333, 0.0833333333333}, +0.067417154274333},
+  {{0.0833333333333, 0.0833333333333, 0.4166666666670}, +0.067417154274333},
+  {{0.0833333333333, 0.2500000000000, 0.2500000000000}, +0.067417154274333},
+  {{0.0833333333333, 0.4166666666670, 0.0833333333333}, +0.067417154274333},
+  {{0.2500000000000, 0.0833333333333, 0.2500000000000}, +0.067417154274333},
+  {{0.2500000000000, 0.2500000000000, 0.0833333333333}, +0.067417154274333},
+  {{0.4166666666670, 0.0833333333333, 0.0833333333333}, +0.067417154274333},
+  {{0.0833333333333, 0.0833333333333, 0.2500000000000}, +0.067417154274333},
+  {{0.0833333333333, 0.2500000000000, 0.0833333333333}, +0.067417154274333},
+  {{0.2500000000000, 0.0833333333333, 0.0833333333333}, +0.067417154274333},
+  {{0.0833333333333, 0.0833333333333, 0.0833333333333}, +0.067417154274333},
+  {{0.1000000000000, 0.1000000000000, 0.7000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.3000000000000, 0.5000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.5000000000000, 0.3000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.7000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.3000000000000, 0.1000000000000, 0.5000000000000}, -0.009723871525850},
+  {{0.3000000000000, 0.3000000000000, 0.3000000000000}, -0.009723871525850},
+  {{0.3000000000000, 0.5000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.5000000000000, 0.1000000000000, 0.3000000000000}, -0.009723871525850},
+  {{0.5000000000000, 0.3000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.7000000000000, 0.1000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.1000000000000, 0.5000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.3000000000000, 0.3000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.5000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.3000000000000, 0.1000000000000, 0.3000000000000}, -0.009723871525850},
+  {{0.3000000000000, 0.3000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.5000000000000, 0.1000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.1000000000000, 0.3000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.3000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.3000000000000, 0.1000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.1000000000000, 0.1000000000000, 0.1000000000000}, -0.009723871525850},
+  {{0.1250000000000, 0.1250000000000, 0.6250000000000}, +0.000547405302255},
+  {{0.1250000000000, 0.3750000000000, 0.3750000000000}, +0.000547405302255},
+  {{0.1250000000000, 0.6250000000000, 0.1250000000000}, +0.000547405302255},
+  {{0.3750000000000, 0.1250000000000, 0.3750000000000}, +0.000547405302255},
+  {{0.3750000000000, 0.3750000000000, 0.1250000000000}, +0.000547405302255},
+  {{0.6250000000000, 0.1250000000000, 0.1250000000000}, +0.000547405302255},
+  {{0.1250000000000, 0.1250000000000, 0.3750000000000}, +0.000547405302255},
+  {{0.1250000000000, 0.3750000000000, 0.1250000000000}, +0.000547405302255},
+  {{0.3750000000000, 0.1250000000000, 0.1250000000000}, +0.000547405302255},
+  {{0.1250000000000, 0.1250000000000, 0.1250000000000}, +0.000547405302255},
+  {{0.1666666666670, 0.1666666666670, 0.5000000000000}, -8.22963309013e-06},
+  {{0.1666666666670, 0.5000000000000, 0.1666666666670}, -8.22963309013e-06},
+  {{0.5000000000000, 0.1666666666670, 0.1666666666670}, -8.22963309013e-06},
+  {{0.1666666666670, 0.1666666666670, 0.1666666666670}, -8.22963309013e-06},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, +1.3573205875e-08}
 };
 
 // 200 negative weights, 0 points outside of the tetrahedron 
@@ -1629,721 +1621,721 @@ IntPt tetP17Solin[495] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP19Solin[715] = {
-  {{0.0454545454545 , 0.0454545454545 , 0.863636363636}, 0.652943603366},
-  {{0.0454545454545 , 0.136363636364 , 0.772727272727}, 0.652943603366},
-  {{0.0454545454545 , 0.227272727273 , 0.681818181818}, 0.652943603366},
-  {{0.0454545454545 , 0.318181818182 , 0.590909090909}, 0.652943603366},
-  {{0.0454545454545 , 0.409090909091 , 0.5}, 0.652943603366},
-  {{0.0454545454545 , 0.5 , 0.409090909091}, 0.652943603366},
-  {{0.0454545454545 , 0.590909090909 , 0.318181818182}, 0.652943603366},
-  {{0.0454545454545 , 0.681818181818 , 0.227272727273}, 0.652943603366},
-  {{0.0454545454545 , 0.772727272727 , 0.136363636364}, 0.652943603366},
-  {{0.0454545454545 , 0.863636363636 , 0.0454545454545}, 0.652943603366},
-  {{0.136363636364 , 0.0454545454545 , 0.772727272727}, 0.652943603366},
-  {{0.136363636364 , 0.136363636364 , 0.681818181818}, 0.652943603366},
-  {{0.136363636364 , 0.227272727273 , 0.590909090909}, 0.652943603366},
-  {{0.136363636364 , 0.318181818182 , 0.5}, 0.652943603366},
-  {{0.136363636364 , 0.409090909091 , 0.409090909091}, 0.652943603366},
-  {{0.136363636364 , 0.5 , 0.318181818182}, 0.652943603366},
-  {{0.136363636364 , 0.590909090909 , 0.227272727273}, 0.652943603366},
-  {{0.136363636364 , 0.681818181818 , 0.136363636364}, 0.652943603366},
-  {{0.136363636364 , 0.772727272727 , 0.0454545454545}, 0.652943603366},
-  {{0.227272727273 , 0.0454545454545 , 0.681818181818}, 0.652943603366},
-  {{0.227272727273 , 0.136363636364 , 0.590909090909}, 0.652943603366},
-  {{0.227272727273 , 0.227272727273 , 0.5}, 0.652943603366},
-  {{0.227272727273 , 0.318181818182 , 0.409090909091}, 0.652943603366},
-  {{0.227272727273 , 0.409090909091 , 0.318181818182}, 0.652943603366},
-  {{0.227272727273 , 0.5 , 0.227272727273}, 0.652943603366},
-  {{0.227272727273 , 0.590909090909 , 0.136363636364}, 0.652943603366},
-  {{0.227272727273 , 0.681818181818 , 0.0454545454545}, 0.652943603366},
-  {{0.318181818182 , 0.0454545454545 , 0.590909090909}, 0.652943603366},
-  {{0.318181818182 , 0.136363636364 , 0.5}, 0.652943603366},
-  {{0.318181818182 , 0.227272727273 , 0.409090909091}, 0.652943603366},
-  {{0.318181818182 , 0.318181818182 , 0.318181818182}, 0.652943603366},
-  {{0.318181818182 , 0.409090909091 , 0.227272727273}, 0.652943603366},
-  {{0.318181818182 , 0.5 , 0.136363636364}, 0.652943603366},
-  {{0.318181818182 , 0.590909090909 , 0.0454545454545}, 0.652943603366},
-  {{0.409090909091 , 0.0454545454545 , 0.5}, 0.652943603366},
-  {{0.409090909091 , 0.136363636364 , 0.409090909091}, 0.652943603366},
-  {{0.409090909091 , 0.227272727273 , 0.318181818182}, 0.652943603366},
-  {{0.409090909091 , 0.318181818182 , 0.227272727273}, 0.652943603366},
-  {{0.409090909091 , 0.409090909091 , 0.136363636364}, 0.652943603366},
-  {{0.409090909091 , 0.5 , 0.0454545454545}, 0.652943603366},
-  {{0.5 , 0.0454545454545 , 0.409090909091}, 0.652943603366},
-  {{0.5 , 0.136363636364 , 0.318181818182}, 0.652943603366},
-  {{0.5 , 0.227272727273 , 0.227272727273}, 0.652943603366},
-  {{0.5 , 0.318181818182 , 0.136363636364}, 0.652943603366},
-  {{0.5 , 0.409090909091 , 0.0454545454545}, 0.652943603366},
-  {{0.590909090909 , 0.0454545454545 , 0.318181818182}, 0.652943603366},
-  {{0.590909090909 , 0.136363636364 , 0.227272727273}, 0.652943603366},
-  {{0.590909090909 , 0.227272727273 , 0.136363636364}, 0.652943603366},
-  {{0.590909090909 , 0.318181818182 , 0.0454545454545}, 0.652943603366},
-  {{0.681818181818 , 0.0454545454545 , 0.227272727273}, 0.652943603366},
-  {{0.681818181818 , 0.136363636364 , 0.136363636364}, 0.652943603366},
-  {{0.681818181818 , 0.227272727273 , 0.0454545454545}, 0.652943603366},
-  {{0.772727272727 , 0.0454545454545 , 0.136363636364}, 0.652943603366},
-  {{0.772727272727 , 0.136363636364 , 0.0454545454545}, 0.652943603366},
-  {{0.863636363636 , 0.0454545454545 , 0.0454545454545}, 0.652943603366},
-  {{0.0454545454545 , 0.0454545454545 , 0.772727272727}, 0.652943603366},
-  {{0.0454545454545 , 0.136363636364 , 0.681818181818}, 0.652943603366},
-  {{0.0454545454545 , 0.227272727273 , 0.590909090909}, 0.652943603366},
-  {{0.0454545454545 , 0.318181818182 , 0.5}, 0.652943603366},
-  {{0.0454545454545 , 0.409090909091 , 0.409090909091}, 0.652943603366},
-  {{0.0454545454545 , 0.5 , 0.318181818182}, 0.652943603366},
-  {{0.0454545454545 , 0.590909090909 , 0.227272727273}, 0.652943603366},
-  {{0.0454545454545 , 0.681818181818 , 0.136363636364}, 0.652943603366},
-  {{0.0454545454545 , 0.772727272727 , 0.0454545454545}, 0.652943603366},
-  {{0.136363636364 , 0.0454545454545 , 0.681818181818}, 0.652943603366},
-  {{0.136363636364 , 0.136363636364 , 0.590909090909}, 0.652943603366},
-  {{0.136363636364 , 0.227272727273 , 0.5}, 0.652943603366},
-  {{0.136363636364 , 0.318181818182 , 0.409090909091}, 0.652943603366},
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+  {{0.4375000000000, 0.0625000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.1875000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.3125000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.4375000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.5625000000000, 0.0625000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.5625000000000, 0.1875000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.5625000000000, 0.3125000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.6875000000000, 0.0625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.6875000000000, 0.1875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.8125000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.0625000000000, 0.6875000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.1875000000000, 0.5625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.3125000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.4375000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.5625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.6875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.0625000000000, 0.5625000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.1875000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.3125000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.4375000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.5625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.0625000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.1875000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.3125000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.4375000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.0625000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.1875000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.3125000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.5625000000000, 0.0625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.5625000000000, 0.1875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.6875000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.0625000000000, 0.5625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.1875000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.3125000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.4375000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.5625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.0625000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.1875000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.3125000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.4375000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.0625000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.1875000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.3125000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.0625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.1875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.5625000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.0625000000000, 0.4375000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.1875000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.3125000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.4375000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.0625000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.1875000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.3125000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.0625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.1875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.4375000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.0625000000000, 0.3125000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.1875000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.3125000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.0625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.1875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.3125000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.0625000000000, 0.1875000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.1875000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.1875000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0625000000000, 0.0625000000000, 0.0625000000000}, -0.394906131556667},
+  {{0.0714285714286, 0.0714285714286, 0.7857142857140}, +0.148368085928000},
+  {{0.0714285714286, 0.2142857142860, 0.6428571428570}, +0.148368085928000},
+  {{0.0714285714286, 0.3571428571430, 0.5000000000000}, +0.148368085928000},
+  {{0.0714285714286, 0.5000000000000, 0.3571428571430}, +0.148368085928000},
+  {{0.0714285714286, 0.6428571428570, 0.2142857142860}, +0.148368085928000},
+  {{0.0714285714286, 0.7857142857140, 0.0714285714286}, +0.148368085928000},
+  {{0.2142857142860, 0.0714285714286, 0.6428571428570}, +0.148368085928000},
+  {{0.2142857142860, 0.2142857142860, 0.5000000000000}, +0.148368085928000},
+  {{0.2142857142860, 0.3571428571430, 0.3571428571430}, +0.148368085928000},
+  {{0.2142857142860, 0.5000000000000, 0.2142857142860}, +0.148368085928000},
+  {{0.2142857142860, 0.6428571428570, 0.0714285714286}, +0.148368085928000},
+  {{0.3571428571430, 0.0714285714286, 0.5000000000000}, +0.148368085928000},
+  {{0.3571428571430, 0.2142857142860, 0.3571428571430}, +0.148368085928000},
+  {{0.3571428571430, 0.3571428571430, 0.2142857142860}, +0.148368085928000},
+  {{0.3571428571430, 0.5000000000000, 0.0714285714286}, +0.148368085928000},
+  {{0.5000000000000, 0.0714285714286, 0.3571428571430}, +0.148368085928000},
+  {{0.5000000000000, 0.2142857142860, 0.2142857142860}, +0.148368085928000},
+  {{0.5000000000000, 0.3571428571430, 0.0714285714286}, +0.148368085928000},
+  {{0.6428571428570, 0.0714285714286, 0.2142857142860}, +0.148368085928000},
+  {{0.6428571428570, 0.2142857142860, 0.0714285714286}, +0.148368085928000},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, +0.148368085928000},
+  {{0.0714285714286, 0.0714285714286, 0.6428571428570}, +0.148368085928000},
+  {{0.0714285714286, 0.2142857142860, 0.5000000000000}, +0.148368085928000},
+  {{0.0714285714286, 0.3571428571430, 0.3571428571430}, +0.148368085928000},
+  {{0.0714285714286, 0.5000000000000, 0.2142857142860}, +0.148368085928000},
+  {{0.0714285714286, 0.6428571428570, 0.0714285714286}, +0.148368085928000},
+  {{0.2142857142860, 0.0714285714286, 0.5000000000000}, +0.148368085928000},
+  {{0.2142857142860, 0.2142857142860, 0.3571428571430}, +0.148368085928000},
+  {{0.2142857142860, 0.3571428571430, 0.2142857142860}, +0.148368085928000},
+  {{0.2142857142860, 0.5000000000000, 0.0714285714286}, +0.148368085928000},
+  {{0.3571428571430, 0.0714285714286, 0.3571428571430}, +0.148368085928000},
+  {{0.3571428571430, 0.2142857142860, 0.2142857142860}, +0.148368085928000},
+  {{0.3571428571430, 0.3571428571430, 0.0714285714286}, +0.148368085928000},
+  {{0.5000000000000, 0.0714285714286, 0.2142857142860}, +0.148368085928000},
+  {{0.5000000000000, 0.2142857142860, 0.0714285714286}, +0.148368085928000},
+  {{0.6428571428570, 0.0714285714286, 0.0714285714286}, +0.148368085928000},
+  {{0.0714285714286, 0.0714285714286, 0.5000000000000}, +0.148368085928000},
+  {{0.0714285714286, 0.2142857142860, 0.3571428571430}, +0.148368085928000},
+  {{0.0714285714286, 0.3571428571430, 0.2142857142860}, +0.148368085928000},
+  {{0.0714285714286, 0.5000000000000, 0.0714285714286}, +0.148368085928000},
+  {{0.2142857142860, 0.0714285714286, 0.3571428571430}, +0.148368085928000},
+  {{0.2142857142860, 0.2142857142860, 0.2142857142860}, +0.148368085928000},
+  {{0.2142857142860, 0.3571428571430, 0.0714285714286}, +0.148368085928000},
+  {{0.3571428571430, 0.0714285714286, 0.2142857142860}, +0.148368085928000},
+  {{0.3571428571430, 0.2142857142860, 0.0714285714286}, +0.148368085928000},
+  {{0.5000000000000, 0.0714285714286, 0.0714285714286}, +0.148368085928000},
+  {{0.0714285714286, 0.0714285714286, 0.3571428571430}, +0.148368085928000},
+  {{0.0714285714286, 0.2142857142860, 0.2142857142860}, +0.148368085928000},
+  {{0.0714285714286, 0.3571428571430, 0.0714285714286}, +0.148368085928000},
+  {{0.2142857142860, 0.0714285714286, 0.2142857142860}, +0.148368085928000},
+  {{0.2142857142860, 0.2142857142860, 0.0714285714286}, +0.148368085928000},
+  {{0.3571428571430, 0.0714285714286, 0.0714285714286}, +0.148368085928000},
+  {{0.0714285714286, 0.0714285714286, 0.2142857142860}, +0.148368085928000},
+  {{0.0714285714286, 0.2142857142860, 0.0714285714286}, +0.148368085928000},
+  {{0.2142857142860, 0.0714285714286, 0.0714285714286}, +0.148368085928000},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, +0.148368085928000},
+  {{0.0833333333333, 0.0833333333333, 0.7500000000000}, -0.028553147692667},
+  {{0.0833333333333, 0.2500000000000, 0.5833333333330}, -0.028553147692667},
+  {{0.0833333333333, 0.4166666666670, 0.4166666666670}, -0.028553147692667},
+  {{0.0833333333333, 0.5833333333330, 0.2500000000000}, -0.028553147692667},
+  {{0.0833333333333, 0.7500000000000, 0.0833333333333}, -0.028553147692667},
+  {{0.2500000000000, 0.0833333333333, 0.5833333333330}, -0.028553147692667},
+  {{0.2500000000000, 0.2500000000000, 0.4166666666670}, -0.028553147692667},
+  {{0.2500000000000, 0.4166666666670, 0.2500000000000}, -0.028553147692667},
+  {{0.2500000000000, 0.5833333333330, 0.0833333333333}, -0.028553147692667},
+  {{0.4166666666670, 0.0833333333333, 0.4166666666670}, -0.028553147692667},
+  {{0.4166666666670, 0.2500000000000, 0.2500000000000}, -0.028553147692667},
+  {{0.4166666666670, 0.4166666666670, 0.0833333333333}, -0.028553147692667},
+  {{0.5833333333330, 0.0833333333333, 0.2500000000000}, -0.028553147692667},
+  {{0.5833333333330, 0.2500000000000, 0.0833333333333}, -0.028553147692667},
+  {{0.7500000000000, 0.0833333333333, 0.0833333333333}, -0.028553147692667},
+  {{0.0833333333333, 0.0833333333333, 0.5833333333330}, -0.028553147692667},
+  {{0.0833333333333, 0.2500000000000, 0.4166666666670}, -0.028553147692667},
+  {{0.0833333333333, 0.4166666666670, 0.2500000000000}, -0.028553147692667},
+  {{0.0833333333333, 0.5833333333330, 0.0833333333333}, -0.028553147692667},
+  {{0.2500000000000, 0.0833333333333, 0.4166666666670}, -0.028553147692667},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -0.028553147692667},
+  {{0.2500000000000, 0.4166666666670, 0.0833333333333}, -0.028553147692667},
+  {{0.4166666666670, 0.0833333333333, 0.2500000000000}, -0.028553147692667},
+  {{0.4166666666670, 0.2500000000000, 0.0833333333333}, -0.028553147692667},
+  {{0.5833333333330, 0.0833333333333, 0.0833333333333}, -0.028553147692667},
+  {{0.0833333333333, 0.0833333333333, 0.4166666666670}, -0.028553147692667},
+  {{0.0833333333333, 0.2500000000000, 0.2500000000000}, -0.028553147692667},
+  {{0.0833333333333, 0.4166666666670, 0.0833333333333}, -0.028553147692667},
+  {{0.2500000000000, 0.0833333333333, 0.2500000000000}, -0.028553147692667},
+  {{0.2500000000000, 0.2500000000000, 0.0833333333333}, -0.028553147692667},
+  {{0.4166666666670, 0.0833333333333, 0.0833333333333}, -0.028553147692667},
+  {{0.0833333333333, 0.0833333333333, 0.2500000000000}, -0.028553147692667},
+  {{0.0833333333333, 0.2500000000000, 0.0833333333333}, -0.028553147692667},
+  {{0.2500000000000, 0.0833333333333, 0.0833333333333}, -0.028553147692667},
+  {{0.0833333333333, 0.0833333333333, 0.0833333333333}, -0.028553147692667},
+  {{0.1000000000000, 0.1000000000000, 0.7000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.3000000000000, 0.5000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.5000000000000, 0.3000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.7000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.3000000000000, 0.1000000000000, 0.5000000000000}, +0.002532258209850},
+  {{0.3000000000000, 0.3000000000000, 0.3000000000000}, +0.002532258209850},
+  {{0.3000000000000, 0.5000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.5000000000000, 0.1000000000000, 0.3000000000000}, +0.002532258209850},
+  {{0.5000000000000, 0.3000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.7000000000000, 0.1000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.1000000000000, 0.5000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.3000000000000, 0.3000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.5000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.3000000000000, 0.1000000000000, 0.3000000000000}, +0.002532258209850},
+  {{0.3000000000000, 0.3000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.5000000000000, 0.1000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.1000000000000, 0.3000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.3000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.3000000000000, 0.1000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.1000000000000, 0.1000000000000, 0.1000000000000}, +0.002532258209850},
+  {{0.1250000000000, 0.1250000000000, 0.6250000000000}, -8.3414141296e-05},
+  {{0.1250000000000, 0.3750000000000, 0.3750000000000}, -8.3414141296e-05},
+  {{0.1250000000000, 0.6250000000000, 0.1250000000000}, -8.3414141296e-05},
+  {{0.3750000000000, 0.1250000000000, 0.3750000000000}, -8.3414141296e-05},
+  {{0.3750000000000, 0.3750000000000, 0.1250000000000}, -8.3414141296e-05},
+  {{0.6250000000000, 0.1250000000000, 0.1250000000000}, -8.3414141296e-05},
+  {{0.1250000000000, 0.1250000000000, 0.3750000000000}, -8.3414141296e-05},
+  {{0.1250000000000, 0.3750000000000, 0.1250000000000}, -8.3414141296e-05},
+  {{0.3750000000000, 0.1250000000000, 0.1250000000000}, -8.3414141296e-05},
+  {{0.1250000000000, 0.1250000000000, 0.1250000000000}, -8.3414141296e-05},
+  {{0.1666666666670, 0.1666666666670, 0.5000000000000}, +6.6130980188e-07},
+  {{0.1666666666670, 0.5000000000000, 0.1666666666670}, +6.6130980188e-07},
+  {{0.5000000000000, 0.1666666666670, 0.1666666666670}, +6.6130980188e-07},
+  {{0.1666666666670, 0.1666666666670, 0.1666666666670}, +6.6130980188e-07},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, -4.6404125000e-10}
 };
 
 // 295 negative weights, 0 points outside of the tetrahedron 
@@ -2354,1007 +2346,1007 @@ IntPt tetP19Solin[715] = {
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt tetP21Solin[1001] = {
-  {{0.0416666666667 , 0.0416666666667 , 0.875}, 0.889778162649},
-  {{0.0416666666667 , 0.125 , 0.791666666667}, 0.889778162649},
-  {{0.0416666666667 , 0.208333333333 , 0.708333333333}, 0.889778162649},
-  {{0.0416666666667 , 0.291666666667 , 0.625}, 0.889778162649},
-  {{0.0416666666667 , 0.375 , 0.541666666667}, 0.889778162649},
-  {{0.0416666666667 , 0.458333333333 , 0.458333333333}, 0.889778162649},
-  {{0.0416666666667 , 0.541666666667 , 0.375}, 0.889778162649},
-  {{0.0416666666667 , 0.625 , 0.291666666667}, 0.889778162649},
-  {{0.0416666666667 , 0.708333333333 , 0.208333333333}, 0.889778162649},
-  {{0.0416666666667 , 0.791666666667 , 0.125}, 0.889778162649},
-  {{0.0416666666667 , 0.875 , 0.0416666666667}, 0.889778162649},
-  {{0.125 , 0.0416666666667 , 0.791666666667}, 0.889778162649},
-  {{0.125 , 0.125 , 0.708333333333}, 0.889778162649},
-  {{0.125 , 0.208333333333 , 0.625}, 0.889778162649},
-  {{0.125 , 0.291666666667 , 0.541666666667}, 0.889778162649},
-  {{0.125 , 0.375 , 0.458333333333}, 0.889778162649},
-  {{0.125 , 0.458333333333 , 0.375}, 0.889778162649},
-  {{0.125 , 0.541666666667 , 0.291666666667}, 0.889778162649},
-  {{0.125 , 0.625 , 0.208333333333}, 0.889778162649},
-  {{0.125 , 0.708333333333 , 0.125}, 0.889778162649},
-  {{0.125 , 0.791666666667 , 0.0416666666667}, 0.889778162649},
-  {{0.208333333333 , 0.0416666666667 , 0.708333333333}, 0.889778162649},
-  {{0.208333333333 , 0.125 , 0.625}, 0.889778162649},
-  {{0.208333333333 , 0.208333333333 , 0.541666666667}, 0.889778162649},
-  {{0.208333333333 , 0.291666666667 , 0.458333333333}, 0.889778162649},
-  {{0.208333333333 , 0.375 , 0.375}, 0.889778162649},
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+  {{0.3571428571430, 0.5000000000000, 0.0714285714286}, -0.076526696952333},
+  {{0.5000000000000, 0.0714285714286, 0.3571428571430}, -0.076526696952333},
+  {{0.5000000000000, 0.2142857142860, 0.2142857142860}, -0.076526696952333},
+  {{0.5000000000000, 0.3571428571430, 0.0714285714286}, -0.076526696952333},
+  {{0.6428571428570, 0.0714285714286, 0.2142857142860}, -0.076526696952333},
+  {{0.6428571428570, 0.2142857142860, 0.0714285714286}, -0.076526696952333},
+  {{0.7857142857140, 0.0714285714286, 0.0714285714286}, -0.076526696952333},
+  {{0.0714285714286, 0.0714285714286, 0.6428571428570}, -0.076526696952333},
+  {{0.0714285714286, 0.2142857142860, 0.5000000000000}, -0.076526696952333},
+  {{0.0714285714286, 0.3571428571430, 0.3571428571430}, -0.076526696952333},
+  {{0.0714285714286, 0.5000000000000, 0.2142857142860}, -0.076526696952333},
+  {{0.0714285714286, 0.6428571428570, 0.0714285714286}, -0.076526696952333},
+  {{0.2142857142860, 0.0714285714286, 0.5000000000000}, -0.076526696952333},
+  {{0.2142857142860, 0.2142857142860, 0.3571428571430}, -0.076526696952333},
+  {{0.2142857142860, 0.3571428571430, 0.2142857142860}, -0.076526696952333},
+  {{0.2142857142860, 0.5000000000000, 0.0714285714286}, -0.076526696952333},
+  {{0.3571428571430, 0.0714285714286, 0.3571428571430}, -0.076526696952333},
+  {{0.3571428571430, 0.2142857142860, 0.2142857142860}, -0.076526696952333},
+  {{0.3571428571430, 0.3571428571430, 0.0714285714286}, -0.076526696952333},
+  {{0.5000000000000, 0.0714285714286, 0.2142857142860}, -0.076526696952333},
+  {{0.5000000000000, 0.2142857142860, 0.0714285714286}, -0.076526696952333},
+  {{0.6428571428570, 0.0714285714286, 0.0714285714286}, -0.076526696952333},
+  {{0.0714285714286, 0.0714285714286, 0.5000000000000}, -0.076526696952333},
+  {{0.0714285714286, 0.2142857142860, 0.3571428571430}, -0.076526696952333},
+  {{0.0714285714286, 0.3571428571430, 0.2142857142860}, -0.076526696952333},
+  {{0.0714285714286, 0.5000000000000, 0.0714285714286}, -0.076526696952333},
+  {{0.2142857142860, 0.0714285714286, 0.3571428571430}, -0.076526696952333},
+  {{0.2142857142860, 0.2142857142860, 0.2142857142860}, -0.076526696952333},
+  {{0.2142857142860, 0.3571428571430, 0.0714285714286}, -0.076526696952333},
+  {{0.3571428571430, 0.0714285714286, 0.2142857142860}, -0.076526696952333},
+  {{0.3571428571430, 0.2142857142860, 0.0714285714286}, -0.076526696952333},
+  {{0.5000000000000, 0.0714285714286, 0.0714285714286}, -0.076526696952333},
+  {{0.0714285714286, 0.0714285714286, 0.3571428571430}, -0.076526696952333},
+  {{0.0714285714286, 0.2142857142860, 0.2142857142860}, -0.076526696952333},
+  {{0.0714285714286, 0.3571428571430, 0.0714285714286}, -0.076526696952333},
+  {{0.2142857142860, 0.0714285714286, 0.2142857142860}, -0.076526696952333},
+  {{0.2142857142860, 0.2142857142860, 0.0714285714286}, -0.076526696952333},
+  {{0.3571428571430, 0.0714285714286, 0.0714285714286}, -0.076526696952333},
+  {{0.0714285714286, 0.0714285714286, 0.2142857142860}, -0.076526696952333},
+  {{0.0714285714286, 0.2142857142860, 0.0714285714286}, -0.076526696952333},
+  {{0.2142857142860, 0.0714285714286, 0.0714285714286}, -0.076526696952333},
+  {{0.0714285714286, 0.0714285714286, 0.0714285714286}, -0.076526696952333},
+  {{0.0833333333333, 0.0833333333333, 0.7500000000000}, +0.009517715897550},
+  {{0.0833333333333, 0.2500000000000, 0.5833333333330}, +0.009517715897550},
+  {{0.0833333333333, 0.4166666666670, 0.4166666666670}, +0.009517715897550},
+  {{0.0833333333333, 0.5833333333330, 0.2500000000000}, +0.009517715897550},
+  {{0.0833333333333, 0.7500000000000, 0.0833333333333}, +0.009517715897550},
+  {{0.2500000000000, 0.0833333333333, 0.5833333333330}, +0.009517715897550},
+  {{0.2500000000000, 0.2500000000000, 0.4166666666670}, +0.009517715897550},
+  {{0.2500000000000, 0.4166666666670, 0.2500000000000}, +0.009517715897550},
+  {{0.2500000000000, 0.5833333333330, 0.0833333333333}, +0.009517715897550},
+  {{0.4166666666670, 0.0833333333333, 0.4166666666670}, +0.009517715897550},
+  {{0.4166666666670, 0.2500000000000, 0.2500000000000}, +0.009517715897550},
+  {{0.4166666666670, 0.4166666666670, 0.0833333333333}, +0.009517715897550},
+  {{0.5833333333330, 0.0833333333333, 0.2500000000000}, +0.009517715897550},
+  {{0.5833333333330, 0.2500000000000, 0.0833333333333}, +0.009517715897550},
+  {{0.7500000000000, 0.0833333333333, 0.0833333333333}, +0.009517715897550},
+  {{0.0833333333333, 0.0833333333333, 0.5833333333330}, +0.009517715897550},
+  {{0.0833333333333, 0.2500000000000, 0.4166666666670}, +0.009517715897550},
+  {{0.0833333333333, 0.4166666666670, 0.2500000000000}, +0.009517715897550},
+  {{0.0833333333333, 0.5833333333330, 0.0833333333333}, +0.009517715897550},
+  {{0.2500000000000, 0.0833333333333, 0.4166666666670}, +0.009517715897550},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, +0.009517715897550},
+  {{0.2500000000000, 0.4166666666670, 0.0833333333333}, +0.009517715897550},
+  {{0.4166666666670, 0.0833333333333, 0.2500000000000}, +0.009517715897550},
+  {{0.4166666666670, 0.2500000000000, 0.0833333333333}, +0.009517715897550},
+  {{0.5833333333330, 0.0833333333333, 0.0833333333333}, +0.009517715897550},
+  {{0.0833333333333, 0.0833333333333, 0.4166666666670}, +0.009517715897550},
+  {{0.0833333333333, 0.2500000000000, 0.2500000000000}, +0.009517715897550},
+  {{0.0833333333333, 0.4166666666670, 0.0833333333333}, +0.009517715897550},
+  {{0.2500000000000, 0.0833333333333, 0.2500000000000}, +0.009517715897550},
+  {{0.2500000000000, 0.2500000000000, 0.0833333333333}, +0.009517715897550},
+  {{0.4166666666670, 0.0833333333333, 0.0833333333333}, +0.009517715897550},
+  {{0.0833333333333, 0.0833333333333, 0.2500000000000}, +0.009517715897550},
+  {{0.0833333333333, 0.2500000000000, 0.0833333333333}, +0.009517715897550},
+  {{0.2500000000000, 0.0833333333333, 0.0833333333333}, +0.009517715897550},
+  {{0.0833333333333, 0.0833333333333, 0.0833333333333}, +0.009517715897550},
+  {{0.1000000000000, 0.1000000000000, 0.7000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.3000000000000, 0.5000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.5000000000000, 0.3000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.7000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.3000000000000, 0.1000000000000, 0.5000000000000}, -0.000531987018878},
+  {{0.3000000000000, 0.3000000000000, 0.3000000000000}, -0.000531987018878},
+  {{0.3000000000000, 0.5000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.5000000000000, 0.1000000000000, 0.3000000000000}, -0.000531987018878},
+  {{0.5000000000000, 0.3000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.7000000000000, 0.1000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.1000000000000, 0.5000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.3000000000000, 0.3000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.5000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.3000000000000, 0.1000000000000, 0.3000000000000}, -0.000531987018878},
+  {{0.3000000000000, 0.3000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.5000000000000, 0.1000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.1000000000000, 0.3000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.3000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.3000000000000, 0.1000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.1000000000000, 0.1000000000000, 0.1000000000000}, -0.000531987018878},
+  {{0.1250000000000, 0.1250000000000, 0.6250000000000}, +1.0426767662e-05},
+  {{0.1250000000000, 0.3750000000000, 0.3750000000000}, +1.0426767662e-05},
+  {{0.1250000000000, 0.6250000000000, 0.1250000000000}, +1.0426767662e-05},
+  {{0.3750000000000, 0.1250000000000, 0.3750000000000}, +1.0426767662e-05},
+  {{0.3750000000000, 0.3750000000000, 0.1250000000000}, +1.0426767662e-05},
+  {{0.6250000000000, 0.1250000000000, 0.1250000000000}, +1.0426767662e-05},
+  {{0.1250000000000, 0.1250000000000, 0.3750000000000}, +1.0426767662e-05},
+  {{0.1250000000000, 0.3750000000000, 0.1250000000000}, +1.0426767662e-05},
+  {{0.3750000000000, 0.1250000000000, 0.1250000000000}, +1.0426767662e-05},
+  {{0.1250000000000, 0.1250000000000, 0.1250000000000}, +1.0426767662e-05},
+  {{0.1666666666670, 0.1666666666670, 0.5000000000000}, -4.4087320125e-08},
+  {{0.1666666666670, 0.5000000000000, 0.1666666666670}, -4.4087320125e-08},
+  {{0.5000000000000, 0.1666666666670, 0.1666666666670}, -4.4087320125e-08},
+  {{0.1666666666670, 0.1666666666670, 0.1666666666670}, -4.4087320125e-08},
+  {{0.2500000000000, 0.2500000000000, 0.2500000000000}, +1.3258375e-11}
 };
 
 // 420 negative weights, 0 points outside of the tetrahedron 
@@ -3416,7 +3408,7 @@ IntPt *getGQTetPts(int order)
   // if(order < 7)
   //     return GQTet[order]; 
   
-  if (order < 21) return GQTetSolin[order];
+  if (order < 22) return GQTetSolin[order];
   
   int n = (order+4)/2;
   int index = n-5;
@@ -3433,7 +3425,7 @@ int getNGQTetPts(int order)
   //   if(order < 7)
   //     return GQTetnPt[order];
 
-  if (order < 21) return GQTetnPtSolin[order];
+  if (order < 22) return GQTetnPtSolin[order];
 
   
   int n = (order+4)/2;
diff --git a/Numeric/GaussQuadratureTri.cpp b/Numeric/GaussQuadratureTri.cpp
index 5a11530b33d3d15ef3f57fc72d2bfafde927f811..586dd01f553d75b9699017cb9ea709f39437b911 100644
--- a/Numeric/GaussQuadratureTri.cpp
+++ b/Numeric/GaussQuadratureTri.cpp
@@ -6,88 +6,90 @@
 #include "Gauss.h"
 #include "GaussLegendre1D.h"
 
-IntPt GQT1[1] = { {{.333333333333333,.333333333333333,0},1.0} };
+IntPt GQT1[1] = { 
+  {{0.333333333333333, 0.333333333333333, 0.}, 0.500000000000000}
+};
 IntPt GQT2[3] = {
-  { {0.16666666666666,0.1666666666666,0},.333333333333333 },
-  { {0.66666666666666,0.1666666666666,0},.333333333333333 },
-  { {0.16666666666666,0.6666666666666,0},.333333333333333 }
+  {{0.166666666666667, 0.166666666666667, 0.}, 0.166666666666667},
+  {{0.666666666666667, 0.166666666666667, 0.}, 0.166666666666667},
+  {{0.166666666666667, 0.666666666666667, 0.}, 0.166666666666667}
 };
 
 IntPt GQT3[4] = {
-  { {0.333333333333333,0.3333333333333333,0},-0.5625},
-  { {0.6,0.2,0},.520833333333333 },
-  { {0.2,0.6,0},.520833333333333 },
-  { {0.2,0.2,0},.520833333333333 }
+  {{0.333333333333333, 0.333333333333333, 0.}, -0.281250000000000},
+  {{0.600000000000000, 0.200000000000000, 0.}, +0.260416666666667},
+  {{0.200000000000000, 0.600000000000000, 0.}, +0.260416666666667},
+  {{0.200000000000000, 0.200000000000000, 0.}, +0.260416666666667}
 };
 
 IntPt GQT4[6] = {
-  { {0.816847572980459,0.091576213509771,0},0.109951743655322},
-  { {0.091576213509771,0.816847572980459,0},0.109951743655322},
-  { {0.091576213509771,0.091576213509771,0},0.109951743655322},
-  { {0.108103018168070,0.445948490915965,0},0.223381589678011},
-  { {0.445948490915965,0.108103018168070,0},0.223381589678011},
-  { {0.445948490915965,0.445948490915965,0},0.223381589678011}
+  {{0.816847572980459, 0.091576213509771, 0.}, 0.054975871827661},
+  {{0.091576213509771, 0.816847572980459, 0.}, 0.054975871827661},
+  {{0.091576213509771, 0.091576213509771, 0.}, 0.054975871827661},
+  {{0.108103018168070, 0.445948490915965, 0.}, 0.111690794839005},
+  {{0.445948490915965, 0.108103018168070, 0.}, 0.111690794839005},
+  {{0.445948490915965, 0.445948490915965, 0.}, 0.111690794839005}
 };
 
 IntPt GQT5[7] = {
-  { {0.333333333333333,0.333333333333333,0},0.225000000000000},
-  { {0.797426985353087,0.101286507323456,0},0.125939180544827},
-  { {0.101286507323456,0.797426985353087,0},0.125939180544827},
-  { {0.101286507323456,0.101286507323456,0},0.125939180544827},
-  { {0.470142064105115,0.059715871789770,0},0.132394152788506},
-  { {0.059715871789770,0.470142064105115,0},0.132394152788506},
-  { {0.470142064105115,0.470142064105115,0},0.132394152788506}
+  {{0.333333333333333, 0.333333333333333, 0.}, 0.112500000000000},
+  {{0.797426985353087, 0.101286507323456, 0.}, 0.062969590272414},
+  {{0.101286507323456, 0.797426985353087, 0.}, 0.062969590272414},
+  {{0.101286507323456, 0.101286507323456, 0.}, 0.062969590272414},
+  {{0.470142064105115, 0.059715871789770, 0.}, 0.066197076394253},
+  {{0.059715871789770, 0.470142064105115, 0.}, 0.066197076394253},
+  {{0.470142064105115, 0.470142064105115, 0.}, 0.066197076394253}
 };
 
 IntPt GQT6[12] = {
-  { {0.873821971016996,0.063089014491502,0},0.050844906370207},
-  { {0.063089014491502,0.873821971016996,0},0.050844906370207},
-  { {0.063089014491502,0.063089014491502,0},0.050844906370207},
-  { {0.501426509658179,0.249286745170910,0},0.116786275726379},
-  { {0.249286745170910,0.501426509658179,0},0.116786275726379},
-  { {0.249286745170910,0.249286745170910,0},0.116786275726379},
-  { {0.636502499121399,0.310352451033785,0},0.082851075618374},
-  { {0.310352451033785,0.636502499121399,0},0.082851075618374},
-  { {0.636502499121399,0.053145049844816,0},0.082851075618374},
-  { {0.310352451033785,0.053145049844816,0},0.082851075618374},
-  { {0.053145049844816,0.310352451033785,0},0.082851075618374},
-  { {0.053145049844816,0.636502499121399,0},0.082851075618374}
+  {{0.873821971016996, 0.063089014491502, 0.}, 0.025422453185104},
+  {{0.063089014491502, 0.873821971016996, 0.}, 0.025422453185104},
+  {{0.063089014491502, 0.063089014491502, 0.}, 0.025422453185104},
+  {{0.501426509658179, 0.249286745170910, 0.}, 0.058393137863189},
+  {{0.249286745170910, 0.501426509658179, 0.}, 0.058393137863189},
+  {{0.249286745170910, 0.249286745170910, 0.}, 0.058393137863189},
+  {{0.636502499121399, 0.310352451033785, 0.}, 0.041425537809187},
+  {{0.310352451033785, 0.636502499121399, 0.}, 0.041425537809187},
+  {{0.636502499121399, 0.053145049844816, 0.}, 0.041425537809187},
+  {{0.310352451033785, 0.053145049844816, 0.}, 0.041425537809187},
+  {{0.053145049844816, 0.310352451033785, 0.}, 0.041425537809187},
+  {{0.053145049844816, 0.636502499121399, 0.}, 0.041425537809187}
 };
 
 IntPt GQT7[13] = {
-  { {0.333333333333333,0.333333333333333,0},-0.149570044467682},
-  { {0.479308067841920,0.260345966079040,0},0.175615257433208},
-  { {0.260345966079040,0.479308067841920,0},0.175615257433208},
-  { {0.260345966079040,0.260345966079040,0},0.175615257433208},
-  { {0.869739794195568,0.065130102902216,0},0.053347235608838},
-  { {0.065130102902216,0.869739794195568,0},0.053347235608838},
-  { {0.065130102902216,0.065130102902216,0},0.053347235608838},
-  { {0.048690315425316,0.312865496004874,0},0.077113760890257},
-  { {0.312865496004874,0.048690315425316,0},0.077113760890257},
-  { {0.638444188569810,0.048690315425316,0},0.077113760890257},
-  { {0.048690315425316,0.638444188569810,0},0.077113760890257},
-  { {0.312865496004874,0.638444188569810,0},0.077113760890257},
-  { {0.638444188569810,0.312865496004874,0},0.077113760890257}
+  {{0.333333333333333, 0.333333333333333, 0.}, -0.074785022233841},
+  {{0.479308067841920, 0.260345966079040, 0.}, +0.087807628716604},
+  {{0.260345966079040, 0.479308067841920, 0.}, +0.087807628716604},
+  {{0.260345966079040, 0.260345966079040, 0.}, +0.087807628716604},
+  {{0.869739794195568, 0.065130102902216, 0.}, +0.026673617804419},
+  {{0.065130102902216, 0.869739794195568, 0.}, +0.026673617804419},
+  {{0.065130102902216, 0.065130102902216, 0.}, +0.026673617804419},
+  {{0.048690315425316, 0.312865496004874, 0.}, +0.038556880445128},
+  {{0.312865496004874, 0.048690315425316, 0.}, +0.038556880445128},
+  {{0.638444188569810, 0.048690315425316, 0.}, +0.038556880445128},
+  {{0.048690315425316, 0.638444188569810, 0.}, +0.038556880445128},
+  {{0.312865496004874, 0.638444188569810, 0.}, +0.038556880445128},
+  {{0.638444188569810, 0.312865496004874, 0.}, +0.038556880445128}
 
 };
 
 IntPt GQT8[16] = {
-  { {0.333333333333333,0.333333333333333,0},0.144315607677787},
-  { {0.081414823414554,0.459292588292723,0},0.095091634267285},
-  { {0.459292588292723,0.081414823414554,0},0.095091634267285},
-  { {0.459292588292723,0.459292588292723,0},0.095091634267285},
-  { {0.658861384496480,0.170569307751760,0},0.103217370534718},
-  { {0.170569307751760,0.658861384496480,0},0.103217370534718},
-  { {0.170569307751760,0.170569307751760,0},0.103217370534718},
-  { {0.898905543365938,0.050547228317031,0},0.032458497623198},
-  { {0.050547228317031,0.898905543365938,0},0.032458497623198},
-  { {0.050547228317031,0.050547228317031,0},0.032458497623198},  
-  { {0.008394777409958,0.728492392955404,0},0.027230314174435},
-  { {0.728492392955404,0.008394777409958,0},0.027230314174435},
-  { {0.263112829634638,0.008394777409958,0},0.027230314174435},
-  { {0.008394777409958,0.263112829634638,0},0.027230314174435},
-  { {0.263112829634638,0.728492392955404,0},0.027230314174435},
-  { {0.728492392955404,0.263112829634638,0},0.027230314174435}
+  {{0.333333333333333, 0.333333333333333, 0.}, 0.072157803838894},
+  {{0.081414823414554, 0.459292588292723, 0.}, 0.047545817133643},
+  {{0.459292588292723, 0.081414823414554, 0.}, 0.047545817133643},
+  {{0.459292588292723, 0.459292588292723, 0.}, 0.047545817133643},
+  {{0.658861384496480, 0.170569307751760, 0.}, 0.051608685267359},
+  {{0.170569307751760, 0.658861384496480, 0.}, 0.051608685267359},
+  {{0.170569307751760, 0.170569307751760, 0.}, 0.051608685267359},
+  {{0.898905543365938, 0.050547228317031, 0.}, 0.016229248811599},
+  {{0.050547228317031, 0.898905543365938, 0.}, 0.016229248811599},
+  {{0.050547228317031, 0.050547228317031, 0.}, 0.016229248811599},  
+  {{0.008394777409958, 0.728492392955404, 0.}, 0.013615157087217},
+  {{0.728492392955404, 0.008394777409958, 0.}, 0.013615157087217},
+  {{0.263112829634638, 0.008394777409958, 0.}, 0.013615157087217},
+  {{0.008394777409958, 0.263112829634638, 0.}, 0.013615157087217},
+  {{0.263112829634638, 0.728492392955404, 0.}, 0.013615157087217},
+  {{0.728492392955404, 0.263112829634638, 0.}, 0.013615157087217}
 };
 
 
@@ -104,827 +106,788 @@ int GQTnPt[9] = {1,1,3,4,6,7,12,13,16};
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP1Solin[1] = {
-  {{0.333333333333 , 0.333333333333,0 }, 1}
+  {{0.333333333333333, 0.333333333333333, 0.}, 0.500000000000000}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 2 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP2Solin[3] = {
-  {{0.166666666667 , 0.166666666667,0 }, 0.333333333333},
-  {{0.166666666667 , 0.666666666667,0 }, 0.333333333333},
-  {{0.666666666667 , 0.166666666667,0 }, 0.333333333333}
+  {{0.166666666666667, 0.166666666666667, 0.}, 0.166666666666667},
+  {{0.166666666666667, 0.666666666666667, 0.}, 0.166666666666667},
+  {{0.666666666666667, 0.166666666666667, 0.}, 0.166666666666667}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 3 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP3Solin[4] = {
-  {{0.333333333333 , 0.333333333333,0 }, -0.5625},
-  {{0.2 , 0.2 ,0}, 0.520833333333},
-  {{0.2 , 0.6 ,0}, 0.520833333333},
-  {{0.6 , 0.2 ,0}, 0.520833333333}
+  {{0.333333333333333, 0.333333333333333, 0.}, -0.281250000000000},
+  {{0.200000000000000, 0.200000000000000, 0.}, 0.260416666666667},
+  {{0.200000000000000, 0.600000000000000, 0.}, 0.260416666666667},
+  {{0.600000000000000, 0.200000000000000, 0.}, 0.260416666666667}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 1 negative weight, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 4 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP4Solin[6] = {
-  {{0.445948490916 , 0.445948490916 ,0}, 0.223381589678},
-  {{0.445948490916 , 0.108103018168 ,0}, 0.223381589678},
-  {{0.108103018168 , 0.445948490916 ,0}, 0.223381589678},
-  {{0.0915762135098 , 0.0915762135098 ,0}, 0.109951743655},
-  {{0.0915762135098 , 0.81684757298 ,0}, 0.109951743655},
-  {{0.81684757298 , 0.0915762135098 ,0}, 0.109951743655}
+  {{0.445948490915965, 0.445948490915965, 0.}, 0.111690794839005},
+  {{0.445948490915965, 0.108103018168070, 0.}, 0.111690794839005},
+  {{0.108103018168070, 0.445948490915965, 0.}, 0.111690794839005},
+  {{0.091576213509771, 0.091576213509771, 0.}, 0.054975871827661},
+  {{0.091576213509771, 0.816847572980459, 0.}, 0.054975871827661},
+  {{0.816847572980459, 0.091576213509771, 0.}, 0.054975871827661}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 5 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP5Solin[7] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.225},
-  {{0.470142064105 , 0.470142064105 ,0}, 0.132394152789},
-  {{0.470142064105 , 0.0597158717898 ,0}, 0.132394152789},
-  {{0.0597158717898 , 0.470142064105 ,0}, 0.132394152789},
-  {{0.101286507323 , 0.101286507323 ,0}, 0.125939180545},
-  {{0.101286507323 , 0.797426985353 ,0}, 0.125939180545},
-  {{0.797426985353 , 0.101286507323 ,0}, 0.125939180545}
+  {{0.333333333333333, 0.333333333333333, 0.}, 0.112500000000000},
+  {{0.470142064105115, 0.470142064105115, 0.}, 0.066197076394253},
+  {{0.470142064105115, 0.059715871789770, 0.}, 0.066197076394253},
+  {{0.059715871789770, 0.470142064105115, 0.}, 0.066197076394253},
+  {{0.101286507323456, 0.101286507323456, 0.}, 0.062969590272414},
+  {{0.101286507323456, 0.797426985353087, 0.}, 0.062969590272414},
+  {{0.797426985353087, 0.101286507323456, 0.}, 0.062969590272414}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 6 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP6Solin[12] = {
-  {{0.249286745171 , 0.249286745171 ,0}, 0.116786275726},
-  {{0.249286745171 , 0.501426509658 ,0}, 0.116786275726},
-  {{0.501426509658 , 0.249286745171 ,0}, 0.116786275726},
-  {{0.0630890144915 , 0.0630890144915 ,0}, 0.0508449063702},
-  {{0.0630890144915 , 0.873821971017 ,0}, 0.0508449063702},
-  {{0.873821971017 , 0.0630890144915 ,0}, 0.0508449063702},
-  {{0.310352451034 , 0.636502499121 ,0}, 0.0828510756184},
-  {{0.636502499121 , 0.0531450498448 ,0}, 0.0828510756184},
-  {{0.0531450498448 , 0.310352451034 ,0}, 0.0828510756184},
-  {{0.310352451034 , 0.0531450498448 ,0}, 0.0828510756184},
-  {{0.636502499121 , 0.310352451034 ,0}, 0.0828510756184},
-  {{0.0531450498448 , 0.636502499121,0 }, 0.0828510756184}
+  {{0.249286745170910, 0.249286745170910, 0.}, 0.058393137863189},
+  {{0.249286745170910, 0.501426509658179, 0.}, 0.058393137863189},
+  {{0.501426509658179, 0.249286745170910, 0.}, 0.058393137863189},
+  {{0.063089014491502, 0.063089014491502, 0.}, 0.025422453185104},
+  {{0.063089014491502, 0.873821971016996, 0.}, 0.025422453185104},
+  {{0.873821971016996, 0.063089014491502, 0.}, 0.025422453185104},
+  {{0.310352451033785, 0.636502499121399, 0.}, 0.041425537809187},
+  {{0.636502499121399, 0.053145049844816, 0.}, 0.041425537809187},
+  {{0.053145049844816, 0.310352451033785, 0.}, 0.041425537809187},
+  {{0.310352451033785, 0.053145049844816, 0.}, 0.041425537809187},
+  {{0.636502499121399, 0.310352451033785, 0.}, 0.041425537809187},
+  {{0.053145049844816, 0.636502499121399, 0.}, 0.041425537809187}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 7 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP7Solin[13] = {
-  {{0.333333333333 , 0.333333333333 ,0}, -0.149570044468},
-  {{0.260345966079 , 0.260345966079 ,0}, 0.175615257433},
-  {{0.260345966079 , 0.479308067842 ,0}, 0.175615257433},
-  {{0.479308067842 , 0.260345966079 ,0}, 0.175615257433},
-  {{0.0651301029022 , 0.0651301029022 ,0}, 0.0533472356088},
-  {{0.0651301029022 , 0.869739794196 ,0}, 0.0533472356088},
-  {{0.869739794196 , 0.0651301029022 ,0}, 0.0533472356088},
-  {{0.312865496005 , 0.63844418857 ,0}, 0.0771137608903},
-  {{0.63844418857 , 0.0486903154253 ,0}, 0.0771137608903},
-  {{0.0486903154253 , 0.312865496005 ,0}, 0.0771137608903},
-  {{0.312865496005 , 0.0486903154253 ,0}, 0.0771137608903},
-  {{0.63844418857 , 0.312865496005 ,0}, 0.0771137608903},
-  {{0.0486903154253 , 0.63844418857 ,0}, 0.0771137608903}
+  {{0.333333333333333, 0.333333333333333, 0.}, -0.074785022233841},
+  {{0.260345966079040, 0.260345966079040, 0.}, 0.087807628716604},
+  {{0.260345966079040, 0.479308067841920, 0.}, 0.087807628716604},
+  {{0.479308067841920, 0.260345966079040, 0.}, 0.087807628716604},
+  {{0.065130102902216, 0.065130102902216, 0.}, 0.026673617804419},
+  {{0.065130102902216, 0.869739794195568, 0.}, 0.026673617804419},
+  {{0.869739794195568, 0.065130102902216, 0.}, 0.026673617804419},
+  {{0.312865496004874, 0.638444188569810, 0.}, 0.038556880445128},
+  {{0.638444188569810, 0.048690315425316, 0.}, 0.038556880445128},
+  {{0.048690315425316, 0.312865496004874, 0.}, 0.038556880445128},
+  {{0.312865496004874, 0.048690315425316, 0.}, 0.038556880445128},
+  {{0.638444188569810, 0.312865496004874, 0.}, 0.038556880445128},
+  {{0.048690315425316, 0.638444188569810, 0.}, 0.038556880445128}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 1 negative weight, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 8 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP8Solin[16] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.144315607678},
-  {{0.459292588293 , 0.459292588293 ,0}, 0.0950916342673},
-  {{0.459292588293 , 0.0814148234146 ,0}, 0.0950916342673},
-  {{0.0814148234146 , 0.459292588293 ,0}, 0.0950916342673},
-  {{0.170569307752 , 0.170569307752 ,0}, 0.103217370535},
-  {{0.170569307752 , 0.658861384496 ,0}, 0.103217370535},
-  {{0.658861384496 , 0.170569307752 ,0}, 0.103217370535},
-  {{0.050547228317 , 0.050547228317 ,0}, 0.0324584976232},
-  {{0.050547228317 , 0.898905543366 ,0}, 0.0324584976232},
-  {{0.898905543366 , 0.050547228317 ,0}, 0.0324584976232},
-  {{0.263112829635 , 0.728492392955 ,0}, 0.0272303141744},
-  {{0.728492392955 , 0.00839477740996 ,0}, 0.0272303141744},
-  {{0.00839477740996 , 0.263112829635 ,0}, 0.0272303141744},
-  {{0.263112829635 , 0.00839477740996 ,0}, 0.0272303141744},
-  {{0.728492392955 , 0.263112829635,0 }, 0.0272303141744},
-  {{0.00839477740996 , 0.728492392955,0 }, 0.0272303141744}
+  {{0.333333333333333, 0.333333333333333, 0.}, 0.072157803838894},
+  {{0.459292588292723, 0.459292588292723, 0.}, 0.047545817133643},
+  {{0.459292588292723, 0.081414823414554, 0.}, 0.047545817133643},
+  {{0.081414823414554, 0.459292588292723, 0.}, 0.047545817133643},
+  {{0.170569307751760, 0.170569307751760, 0.}, 0.051608685267359},
+  {{0.170569307751760, 0.658861384496480, 0.}, 0.051608685267359},
+  {{0.658861384496480, 0.170569307751760, 0.}, 0.051608685267359},
+  {{0.050547228317031, 0.050547228317031, 0.}, 0.016229248811599},
+  {{0.050547228317031, 0.898905543365938, 0.}, 0.016229248811599},
+  {{0.898905543365938, 0.050547228317031, 0.}, 0.016229248811599},
+  {{0.263112829634638, 0.728492392955404, 0.}, 0.013615157087217},
+  {{0.728492392955404, 0.008394777409958, 0.}, 0.013615157087217},
+  {{0.008394777409958, 0.263112829634638, 0.}, 0.013615157087217},
+  {{0.263112829634638, 0.008394777409958, 0.}, 0.013615157087217},
+  {{0.728492392955404, 0.263112829634638, 0.}, 0.013615157087217},
+  {{0.008394777409958, 0.728492392955404, 0.}, 0.013615157087217}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 9 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP9Solin[19] = {
-  {{0.333333333333 , 0.333333333333,0 }, 0.0971357962828},
-  {{0.489682519199 , 0.489682519199 ,0}, 0.0313347002271},
-  {{0.489682519199 , 0.0206349616025,0 }, 0.0313347002271},
-  {{0.0206349616025 , 0.489682519199 ,0}, 0.0313347002271},
-  {{0.437089591493 , 0.437089591493 ,0}, 0.0778275410048},
-  {{0.437089591493 , 0.125820817014 ,0}, 0.0778275410048},
-  {{0.125820817014 , 0.437089591493 ,0}, 0.0778275410048},
-  {{0.188203535619 , 0.188203535619 ,0}, 0.0796477389272},
-  {{0.188203535619 , 0.623592928762 ,0}, 0.0796477389272},
-  {{0.623592928762 , 0.188203535619 ,0}, 0.0796477389272},
-  {{0.0447295133945 , 0.0447295133945,0 }, 0.0255776756587},
-  {{0.0447295133945 , 0.910540973211 ,0}, 0.0255776756587},
-  {{0.910540973211 , 0.0447295133945 ,0}, 0.0255776756587},
-  {{0.221962989161 , 0.741198598784 ,0}, 0.0432835393773},
-  {{0.741198598784 , 0.0368384120547,0 }, 0.0432835393773},
-  {{0.0368384120547 , 0.221962989161 ,0}, 0.0432835393773},
-  {{0.221962989161 , 0.0368384120547 ,0}, 0.0432835393773},
-  {{0.741198598784 , 0.221962989161 ,0}, 0.0432835393773},
-  {{0.0368384120547 , 0.741198598784,0 }, 0.0432835393773}
+  {{0.3333333333330, 0.3333333333333, 0.}, 0.04856789814140},
+  {{0.4896825191990, 0.4896825191990, 0.}, 0.01566735011355},
+  {{0.4896825191990, 0.0206349616025, 0.}, 0.01566735011355},
+  {{0.0206349616025, 0.4896825191990, 0.}, 0.01566735011355},
+  {{0.4370895914930, 0.4370895914930, 0.}, 0.03891377050240},
+  {{0.4370895914930, 0.1258208170140, 0.}, 0.03891377050240},
+  {{0.1258208170140, 0.4370895914930, 0.}, 0.03891377050240},
+  {{0.1882035356190, 0.1882035356190, 0.}, 0.03982386946360},
+  {{0.1882035356190, 0.6235929287620, 0.}, 0.03982386946360},
+  {{0.6235929287620, 0.1882035356190, 0.}, 0.03982386946360},
+  {{0.0447295133945, 0.0447295133945, 0.}, 0.01278883782935},
+  {{0.0447295133945, 0.9105409732110, 0.}, 0.01278883782935},
+  {{0.9105409732110, 0.0447295133945, 0.}, 0.01278883782935},
+  {{0.2219629891610, 0.7411985987840, 0.}, 0.02164176968865},
+  {{0.7411985987840, 0.0368384120547, 0.}, 0.02164176968865},
+  {{0.0368384120547, 0.2219629891610, 0.}, 0.02164176968865},
+  {{0.2219629891610, 0.0368384120547, 0.}, 0.02164176968865},
+  {{0.7411985987840, 0.2219629891610, 0.}, 0.02164176968865},
+  {{0.0368384120547, 0.7411985987840, 0.}, 0.02164176968865}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 10 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP10Solin[25] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0908179903828},
-  {{0.485577633384 , 0.485577633384 ,0}, 0.0367259577565},
-  {{0.485577633384 , 0.0288447332327,0 }, 0.0367259577565},
-  {{0.0288447332327 , 0.485577633384 ,0}, 0.0367259577565},
-  {{0.109481575485 , 0.109481575485 ,0}, 0.0453210594355},
-  {{0.109481575485 , 0.78103684903 ,0}, 0.0453210594355},
-  {{0.78103684903 , 0.109481575485 ,0}, 0.0453210594355},
-  {{0.307939838764 , 0.550352941821 ,0}, 0.0727579168454},
-  {{0.550352941821 , 0.141707219415 ,0}, 0.0727579168454},
-  {{0.141707219415 , 0.307939838764 ,0}, 0.0727579168454},
-  {{0.307939838764 , 0.141707219415 ,0}, 0.0727579168454},
-  {{0.550352941821 , 0.307939838764 ,0}, 0.0727579168454},
-  {{0.141707219415 , 0.550352941821 ,0}, 0.0727579168454},
-  {{0.24667256064 , 0.728323904597 ,0}, 0.0283272425311},
-  {{0.728323904597 , 0.0250035347627 ,0}, 0.0283272425311},
-  {{0.0250035347627 , 0.24667256064 ,0}, 0.0283272425311},
-  {{0.24667256064 , 0.0250035347627 ,0}, 0.0283272425311},
-  {{0.728323904597 , 0.24667256064 ,0}, 0.0283272425311},
-  {{0.0250035347627 , 0.728323904597 ,0}, 0.0283272425311},
-  {{0.0668032510122 , 0.923655933587 ,0}, 0.00942166696373},
-  {{0.923655933587 , 0.0095408154003 ,0}, 0.00942166696373},
-  {{0.0095408154003 , 0.0668032510122 ,0}, 0.00942166696373},
-  {{0.0668032510122 , 0.0095408154003 ,0}, 0.00942166696373},
-  {{0.923655933587 , 0.0668032510122 ,0}, 0.00942166696373},
-  {{0.0095408154003 , 0.923655933587 ,0}, 0.00942166696373}
+  {{0.3333333333330, 0.3333333333330, 0.}, 0.04540899519140},
+  {{0.4855776333840, 0.4855776333840, 0.}, 0.01836297887825},
+  {{0.4855776333840, 0.0288447332327, 0.}, 0.01836297887825},
+  {{0.0288447332327, 0.4855776333840, 0.}, 0.01836297887825},
+  {{0.1094815754850, 0.1094815754850, 0.}, 0.02266052971775},
+  {{0.1094815754850, 0.7810368490300, 0.}, 0.02266052971775},
+  {{0.7810368490300, 0.1094815754850, 0.}, 0.02266052971775},
+  {{0.3079398387640, 0.5503529418210, 0.}, 0.03637895842270},
+  {{0.5503529418210, 0.1417072194150, 0.}, 0.03637895842270},
+  {{0.1417072194150, 0.3079398387640, 0.}, 0.03637895842270},
+  {{0.3079398387640, 0.1417072194150, 0.}, 0.03637895842270},
+  {{0.5503529418210, 0.3079398387640, 0.}, 0.03637895842270},
+  {{0.1417072194150, 0.5503529418210, 0.}, 0.03637895842270},
+  {{0.2466725606400, 0.7283239045970, 0.}, 0.01416362126555},
+  {{0.7283239045970, 0.0250035347627, 0.}, 0.01416362126555},
+  {{0.0250035347627, 0.2466725606400, 0.}, 0.01416362126555},
+  {{0.2466725606400, 0.0250035347627, 0.}, 0.01416362126555},
+  {{0.7283239045970, 0.2466725606400, 0.}, 0.01416362126555},
+  {{0.0250035347627, 0.7283239045970, 0.}, 0.01416362126555},
+  {{0.0668032510122, 0.9236559335870, 0.}, 0.00471083348185},
+  {{0.9236559335870, 0.0095408154003, 0.}, 0.00471083348185},
+  {{0.0095408154003, 0.0668032510122, 0.}, 0.00471083348185},
+  {{0.0668032510122, 0.0095408154003, 0.}, 0.00471083348185},
+  {{0.9236559335870, 0.0668032510122, 0.}, 0.00471083348185},
+  {{0.0095408154003, 0.9236559335870, 0.}, 0.00471083348185}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 11 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP11Solin[27] = {
-  {{0.534611048271 , 0.534611048271 ,0}, 0.000927006328961},
-  {{0.534611048271 , -0.0692220965415 ,0}, 0.000927006328961},
-  {{-0.0692220965415 , 0.534611048271 ,0}, 0.000927006328961},
-  {{0.398969302966 , 0.398969302966 ,0}, 0.0771495349148},
-  {{0.398969302966 , 0.202061394068 ,0}, 0.0771495349148},
-  {{0.202061394068 , 0.398969302966 ,0}, 0.0771495349148},
-  {{0.203309900431 , 0.203309900431 ,0}, 0.0593229773808},
-  {{0.203309900431 , 0.593380199137 ,0}, 0.0593229773808},
-  {{0.593380199137 , 0.203309900431 ,0}, 0.0593229773808},
-  {{0.119350912283 , 0.119350912283 ,0}, 0.0361845405034},
-  {{0.119350912283 , 0.761298175435 ,0}, 0.0361845405034},
-  {{0.761298175435 , 0.119350912283 ,0}, 0.0361845405034},
-  {{0.0323649481113 , 0.0323649481113 ,0}, 0.0136597310027},
-  {{0.0323649481113 , 0.935270103777 ,0}, 0.0136597310027},
-  {{0.935270103777 , 0.0323649481113 ,0}, 0.0136597310027},
-  {{0.356620648261 , 0.593201213428 ,0}, 0.0523371119622},
-  {{0.593201213428 , 0.0501781383105 ,0}, 0.0523371119622},
-  {{0.0501781383105 , 0.356620648261 ,0}, 0.0523371119622},
-  {{0.356620648261 , 0.0501781383105 ,0}, 0.0523371119622},
-  {{0.593201213428 , 0.356620648261 ,0}, 0.0523371119622},
-  {{0.0501781383105 , 0.593201213428 ,0}, 0.0523371119622},
-  {{0.171488980304 , 0.80748900316 ,0}, 0.0207076596391},
-  {{0.80748900316 , 0.0210220165362 ,0}, 0.0207076596391},
-  {{0.0210220165362 , 0.171488980304 ,0}, 0.0207076596391},
-  {{0.171488980304 , 0.0210220165362 ,0}, 0.0207076596391},
-  {{0.80748900316 , 0.171488980304 ,0}, 0.0207076596391},
-  {{0.0210220165362 , 0.80748900316 ,0}, 0.0207076596391}
+  {{+0.5346110482710, +0.5346110482710, 0.}, 0.00046350316448},
+  {{-0.0692220965415, +0.5346110482710, 0.}, 0.00046350316448},
+  {{+0.5346110482710, -0.0692220965415, 0.}, 0.00046350316448},
+  {{+0.3989693029660, +0.3989693029660, 0.}, 0.03857476745740},
+  {{+0.2020613940680, +0.3989693029660, 0.}, 0.03857476745740},
+  {{+0.3989693029660, +0.2020613940680, 0.}, 0.03857476745740},
+  {{+0.2033099004310, +0.2033099004310, 0.}, 0.02966148869040},
+  {{+0.5933801991370, +0.2033099004310, 0.}, 0.02966148869040},
+  {{+0.2033099004310, +0.5933801991370, 0.}, 0.02966148869040},
+  {{+0.1193509122830, +0.1193509122830, 0.}, 0.01809227025170},
+  {{+0.7612981754350, +0.1193509122830, 0.}, 0.01809227025170},
+  {{+0.1193509122830, +0.7612981754350, 0.}, 0.01809227025170},
+  {{+0.0323649481113, +0.0323649481113, 0.}, 0.00682986550135},
+  {{+0.9352701037770, +0.0323649481113, 0.}, 0.00682986550135},
+  {{+0.0323649481113, +0.9352701037770, 0.}, 0.00682986550135},
+  {{+0.5932012134280, +0.3566206482610, 0.}, 0.02616855598110},
+  {{+0.0501781383105, +0.5932012134280, 0.}, 0.02616855598110},
+  {{+0.3566206482610, +0.0501781383105, 0.}, 0.02616855598110},
+  {{+0.0501781383105, +0.3566206482610, 0.}, 0.02616855598110},
+  {{+0.3566206482610, +0.5932012134280, 0.}, 0.02616855598110},
+  {{+0.5932012134280, +0.0501781383105, 0.}, 0.02616855598110},
+  {{+0.8074890031600, +0.1714889803040, 0.}, 0.01035382981955},
+  {{+0.0210220165362, +0.8074890031600, 0.}, 0.01035382981955},
+  {{+0.1714889803040, +0.0210220165362, 0.}, 0.01035382981955},
+  {{+0.0210220165362, +0.1714889803040, 0.}, 0.01035382981955},
+  {{+0.1714889803040, +0.8074890031600, 0.}, 0.01035382981955},
+  {{+0.8074890031600, +0.0210220165362, 0.}, 0.01035382981955}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 3 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 12 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP12Solin[33] = {
-  {{0.488217389774 , 0.488217389774 ,0}, 0.0257310664405},
-  {{0.488217389774 , 0.0235652204524 ,0}, 0.0257310664405},
-  {{0.0235652204524 , 0.488217389774 ,0}, 0.0257310664405},
-  {{0.439724392294 , 0.439724392294 ,0}, 0.043692544538},
-  {{0.439724392294 , 0.120551215411 ,0}, 0.043692544538},
-  {{0.120551215411 , 0.439724392294 ,0}, 0.043692544538},
-  {{0.271210385012 , 0.271210385012 ,0}, 0.0628582242179},
-  {{0.271210385012 , 0.457579229976 ,0}, 0.0628582242179},
-  {{0.457579229976 , 0.271210385012 ,0}, 0.0628582242179},
-  {{0.127576145542 , 0.127576145542 ,0}, 0.0347961129307},
-  {{0.127576145542 , 0.744847708917 ,0}, 0.0347961129307},
-  {{0.744847708917 , 0.127576145542 ,0}, 0.0347961129307},
-  {{0.0213173504532 , 0.0213173504532 ,0}, 0.00616626105156},
-  {{0.0213173504532 , 0.957365299094 ,0}, 0.00616626105156},
-  {{0.957365299094 , 0.0213173504532 ,0}, 0.00616626105156},
-  {{0.275713269686 , 0.60894323578 ,0}, 0.0403715577664},
-  {{0.60894323578 , 0.115343494535 ,0}, 0.0403715577664},
-  {{0.115343494535 , 0.275713269686 ,0}, 0.0403715577664},
-  {{0.275713269686 , 0.115343494535 ,0}, 0.0403715577664},
-  {{0.60894323578 , 0.275713269686 ,0}, 0.0403715577664},
-  {{0.115343494535 , 0.60894323578 ,0}, 0.0403715577664},
-  {{0.28132558099 , 0.695836086788 ,0}, 0.0223567732023},
-  {{0.695836086788 , 0.0228383322223 ,0}, 0.0223567732023},
-  {{0.0228383322223 , 0.28132558099 ,0}, 0.0223567732023},
-  {{0.28132558099 , 0.0228383322223 ,0}, 0.0223567732023},
-  {{0.695836086788 , 0.28132558099 ,0}, 0.0223567732023},
-  {{0.0228383322223 , 0.695836086788 ,0}, 0.0223567732023},
-  {{0.116251915908 , 0.858014033544 ,0}, 0.0173162311087},
-  {{0.858014033544 , 0.0257340505483 ,0}, 0.0173162311087},
-  {{0.0257340505483 , 0.116251915908 ,0}, 0.0173162311087},
-  {{0.116251915908 , 0.0257340505483 ,0}, 0.0173162311087},
-  {{0.858014033544 , 0.116251915908 ,0}, 0.0173162311087},
-  {{0.0257340505483 , 0.858014033544 ,0}, 0.0173162311087}
+  {{0.4882173897740, 0.4882173897740, 0.}, 0.01286553322025},
+  {{0.4882173897740, 0.0235652204524, 0.}, 0.01286553322025},
+  {{0.0235652204524, 0.4882173897740, 0.}, 0.01286553322025},
+  {{0.4397243922940, 0.4397243922940, 0.}, 0.02184627226900},
+  {{0.4397243922940, 0.1205512154110, 0.}, 0.02184627226900},
+  {{0.1205512154110, 0.4397243922940, 0.}, 0.02184627226900},
+  {{0.2712103850120, 0.2712103850120, 0.}, 0.03142911210895},
+  {{0.2712103850120, 0.4575792299760, 0.}, 0.03142911210895},
+  {{0.4575792299760, 0.2712103850120, 0.}, 0.03142911210895},
+  {{0.1275761455420, 0.1275761455420, 0.}, 0.01739805646535},
+  {{0.1275761455420, 0.7448477089170, 0.}, 0.01739805646535},
+  {{0.7448477089170, 0.1275761455420, 0.}, 0.01739805646535},
+  {{0.0213173504532, 0.0213173504532, 0.}, 0.00308313052578},
+  {{0.0213173504532, 0.9573652990940, 0.}, 0.00308313052578},
+  {{0.9573652990940, 0.0213173504532, 0.}, 0.00308313052578},
+  {{0.2757132696860, 0.6089432357800, 0.}, 0.02018577888320},
+  {{0.6089432357800, 0.1153434945350, 0.}, 0.02018577888320},
+  {{0.1153434945350, 0.2757132696860, 0.}, 0.02018577888320},
+  {{0.2757132696860, 0.1153434945350, 0.}, 0.02018577888320},
+  {{0.6089432357800, 0.2757132696860, 0.}, 0.02018577888320},
+  {{0.1153434945350, 0.6089432357800, 0.}, 0.02018577888320},
+  {{0.2813255809900, 0.6958360867880, 0.}, 0.01117838660115},
+  {{0.6958360867880, 0.0228383322223, 0.}, 0.01117838660115},
+  {{0.0228383322223, 0.2813255809900, 0.}, 0.01117838660115},
+  {{0.2813255809900, 0.0228383322223, 0.}, 0.01117838660115},
+  {{0.6958360867880, 0.2813255809900, 0.}, 0.01117838660115},
+  {{0.0228383322223, 0.6958360867880, 0.}, 0.01117838660115},
+  {{0.1162519159080, 0.8580140335440, 0.}, 0.00865811555435},
+  {{0.8580140335440, 0.0257340505483, 0.}, 0.00865811555435},
+  {{0.0257340505483, 0.1162519159080, 0.}, 0.00865811555435},
+  {{0.1162519159080, 0.0257340505483, 0.}, 0.00865811555435},
+  {{0.8580140335440, 0.1162519159080, 0.}, 0.00865811555435},
+  {{0.0257340505483, 0.8580140335440, 0.}, 0.00865811555435}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 13 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP13Solin[37] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0525209234008},
-  {{0.49504818494 , 0.49504818494 ,0}, 0.0112801452093},
-  {{0.49504818494 , 0.00990363012059 ,0}, 0.0112801452093},
-  {{0.00990363012059 , 0.49504818494 ,0}, 0.0112801452093},
-  {{0.46871663511 , 0.46871663511 ,0}, 0.0314235183625},
-  {{0.46871663511 , 0.0625667297809 ,0}, 0.0314235183625},
-  {{0.0625667297809 , 0.46871663511 ,0}, 0.0314235183625},
-  {{0.414521336801 , 0.414521336801 ,0}, 0.0470725025042},
-  {{0.414521336801 , 0.170957326397 ,0}, 0.0470725025042},
-  {{0.170957326397 , 0.414521336801 ,0}, 0.0470725025042},
-  {{0.229399572043 , 0.229399572043 ,0}, 0.0473635865364},
-  {{0.229399572043 , 0.541200855914 ,0}, 0.0473635865364},
-  {{0.541200855914 , 0.229399572043 ,0}, 0.0473635865364},
-  {{0.114424495196 , 0.114424495196 ,0}, 0.0311675290458},
-  {{0.114424495196 , 0.771151009607 ,0}, 0.0311675290458},
-  {{0.771151009607 , 0.114424495196 ,0}, 0.0311675290458},
-  {{0.0248113913635 , 0.0248113913635 ,0}, 0.00797577146507},
-  {{0.0248113913635 , 0.950377217273 ,0}, 0.00797577146507},
-  {{0.950377217273 , 0.0248113913635 ,0}, 0.00797577146507},
-  {{0.268794997059 , 0.636351174562 ,0}, 0.0368484027287},
-  {{0.636351174562 , 0.0948538283796 ,0}, 0.0368484027287},
-  {{0.0948538283796 , 0.268794997059 ,0}, 0.0368484027287},
-  {{0.268794997059 , 0.0948538283796 ,0}, 0.0368484027287},
-  {{0.636351174562 , 0.268794997059 ,0}, 0.0368484027287},
-  {{0.0948538283796 , 0.636351174562 ,0}, 0.0368484027287},
-  {{0.291730066734 , 0.690169159987 ,0}, 0.0174014633038},
-  {{0.690169159987 , 0.0181007732788 ,0}, 0.0174014633038},
-  {{0.0181007732788 , 0.291730066734 ,0}, 0.0174014633038},
-  {{0.291730066734 , 0.0181007732788 ,0}, 0.0174014633038},
-  {{0.690169159987 , 0.291730066734 ,0}, 0.0174014633038},
-  {{0.0181007732788 , 0.690169159987 ,0}, 0.0174014633038},
-  {{0.126357385492 , 0.851409537834 ,0}, 0.015521786839},
-  {{0.851409537834 , 0.0222330766741 ,0}, 0.015521786839},
-  {{0.0222330766741 , 0.126357385492 ,0}, 0.015521786839},
-  {{0.126357385492 , 0.0222330766741 ,0}, 0.015521786839},
-  {{0.851409537834 , 0.126357385492 ,0}, 0.015521786839},
-  {{0.0222330766741 , 0.851409537834 ,0}, 0.015521786839}
+  {{0.33333333333330, 0.33333333333330, 0.}, 0.026260461700400},
+  {{0.49504818494000, 0.49504818494000, 0.}, 0.005640072604650},
+  {{0.00990363012059, 0.49504818494000, 0.}, 0.005640072604650},
+  {{0.49504818494000, 0.00990363012059, 0.}, 0.005640072604650},
+  {{0.46871663511000, 0.46871663511000, 0.}, 0.015711759181250},
+  {{0.06256672978090, 0.46871663511000, 0.}, 0.015711759181250},
+  {{0.46871663511000, 0.06256672978090, 0.}, 0.015711759181250},
+  {{0.41452133680100, 0.41452133680100, 0.}, 0.023536251252100},
+  {{0.17095732639700, 0.41452133680100, 0.}, 0.023536251252100},
+  {{0.41452133680100, 0.17095732639700, 0.}, 0.023536251252100},
+  {{0.22939957204300, 0.22939957204300, 0.}, 0.023681793268200},
+  {{0.54120085591400, 0.22939957204300, 0.}, 0.023681793268200},
+  {{0.22939957204300, 0.54120085591400, 0.}, 0.023681793268200},
+  {{0.11442449519600, 0.11442449519600, 0.}, 0.015583764522900},
+  {{0.77115100960700, 0.11442449519600, 0.}, 0.015583764522900},
+  {{0.11442449519600, 0.77115100960700, 0.}, 0.015583764522900},
+  {{0.02481139136350, 0.02481139136350, 0.}, 0.003987885732535},
+  {{0.95037721727300, 0.02481139136350, 0.}, 0.003987885732535},
+  {{0.02481139136350, 0.95037721727300, 0.}, 0.003987885732535},
+  {{0.63635117456200, 0.26879499705900, 0.}, 0.018424201364350},
+  {{0.09485382837960, 0.63635117456200, 0.}, 0.018424201364350},
+  {{0.26879499705900, 0.09485382837960, 0.}, 0.018424201364350},
+  {{0.09485382837960, 0.26879499705900, 0.}, 0.018424201364350},
+  {{0.26879499705900, 0.63635117456200, 0.}, 0.018424201364350},
+  {{0.63635117456200, 0.09485382837960, 0.}, 0.018424201364350},
+  {{0.69016915998700, 0.29173006673400, 0.}, 0.008700731651900},
+  {{0.01810077327880, 0.69016915998700, 0.}, 0.008700731651900},
+  {{0.29173006673400, 0.01810077327880, 0.}, 0.008700731651900},
+  {{0.01810077327880, 0.29173006673400, 0.}, 0.008700731651900},
+  {{0.29173006673400, 0.69016915998700, 0.}, 0.008700731651900},
+  {{0.69016915998700, 0.01810077327880, 0.}, 0.008700731651900},
+  {{0.85140953783400, 0.12635738549200, 0.}, 0.007760893419500},
+  {{0.02223307667410, 0.85140953783400, 0.}, 0.007760893419500},
+  {{0.12635738549200, 0.02223307667410, 0.}, 0.007760893419500},
+  {{0.02223307667410, 0.12635738549200, 0.}, 0.007760893419500},
+  {{0.12635738549200, 0.85140953783400, 0.}, 0.007760893419500},
+  {{0.85140953783400, 0.02223307667410, 0.}, 0.007760893419500}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 14 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP14Solin[42] = {
-  {{0.488963910362 , 0.488963910362 ,0}, 0.0218835813694},
-  {{0.488963910362 , 0.0220721792756 ,0}, 0.0218835813694},
-  {{0.0220721792756 , 0.488963910362 ,0}, 0.0218835813694},
-  {{0.41764471934 , 0.41764471934 ,0}, 0.0327883535441},
-  {{0.41764471934 , 0.164710561319 ,0}, 0.0327883535441},
-  {{0.164710561319 , 0.41764471934 ,0}, 0.0327883535441},
-  {{0.273477528309 , 0.273477528309 ,0}, 0.0517741045073},
-  {{0.273477528309 , 0.453044943382 ,0}, 0.0517741045073},
-  {{0.453044943382 , 0.273477528309 ,0}, 0.0517741045073},
-  {{0.177205532413 , 0.177205532413 ,0}, 0.042162588737},
-  {{0.177205532413 , 0.645588935175 ,0}, 0.042162588737},
-  {{0.645588935175 , 0.177205532413 ,0}, 0.042162588737},
-  {{0.0617998830909 , 0.0617998830909 ,0}, 0.0144336996698},
-  {{0.0617998830909 , 0.876400233818 ,0}, 0.0144336996698},
-  {{0.876400233818 , 0.0617998830909 ,0}, 0.0144336996698},
-  {{0.0193909612487 , 0.0193909612487 ,0}, 0.0049234036024},
-  {{0.0193909612487 , 0.961218077503 ,0}, 0.0049234036024},
-  {{0.961218077503 , 0.0193909612487 ,0}, 0.0049234036024},
-  {{0.172266687821 , 0.770608554775 ,0}, 0.0246657532126},
-  {{0.770608554775 , 0.0571247574036 ,0}, 0.0246657532126},
-  {{0.0571247574036 , 0.172266687821 ,0}, 0.0246657532126},
-  {{0.172266687821 , 0.0571247574036 ,0}, 0.0246657532126},
-  {{0.770608554775 , 0.172266687821 ,0}, 0.0246657532126},
-  {{0.0571247574036 , 0.770608554775 ,0}, 0.0246657532126},
-  {{0.336861459796 , 0.570222290847 ,0}, 0.0385715107871},
-  {{0.570222290847 , 0.092916249357 ,0}, 0.0385715107871},
-  {{0.092916249357 , 0.336861459796 ,0}, 0.0385715107871},
-  {{0.336861459796 , 0.092916249357 ,0}, 0.0385715107871},
-  {{0.570222290847 , 0.336861459796 ,0}, 0.0385715107871},
-  {{0.092916249357 , 0.570222290847 ,0}, 0.0385715107871},
-  {{0.298372882136 , 0.686980167808 ,0}, 0.0144363081135},
-  {{0.686980167808 , 0.0146469500557 ,0}, 0.0144363081135},
-  {{0.0146469500557 , 0.298372882136 ,0}, 0.0144363081135},
-  {{0.298372882136 , 0.0146469500557 ,0}, 0.0144363081135},
-  {{0.686980167808 , 0.298372882136 ,0}, 0.0144363081135},
-  {{0.0146469500557 , 0.686980167808 ,0}, 0.0144363081135},
-  {{0.118974497697 , 0.87975717137 ,0}, 0.0050102288385},
-  {{0.87975717137 , 0.00126833093287 ,0}, 0.0050102288385},
-  {{0.00126833093287 , 0.118974497697 ,0}, 0.0050102288385},
-  {{0.118974497697 , 0.00126833093287 ,0}, 0.0050102288385},
-  {{0.87975717137 , 0.118974497697 ,0}, 0.0050102288385},
-  {{0.00126833093287 , 0.87975717137 ,0}, 0.0050102288385}
+  {{0.48896391036200, 0.48896391036200, 0.}, 0.01094179068470},
+  {{0.02207217927560, 0.48896391036200, 0.}, 0.01094179068470},
+  {{0.48896391036200, 0.02207217927560, 0.}, 0.01094179068470},
+  {{0.41764471934000, 0.41764471934000, 0.}, 0.01639417677205},
+  {{0.16471056131900, 0.41764471934000, 0.}, 0.01639417677205},
+  {{0.41764471934000, 0.16471056131900, 0.}, 0.01639417677205},
+  {{0.27347752830900, 0.27347752830900, 0.}, 0.02588705225365},
+  {{0.45304494338200, 0.27347752830900, 0.}, 0.02588705225365},
+  {{0.27347752830900, 0.45304494338200, 0.}, 0.02588705225365},
+  {{0.17720553241300, 0.17720553241300, 0.}, 0.02108129436850},
+  {{0.64558893517500, 0.17720553241300, 0.}, 0.02108129436850},
+  {{0.17720553241300, 0.64558893517500, 0.}, 0.02108129436850},
+  {{0.06179988309090, 0.06179988309090, 0.}, 0.00721684983490},
+  {{0.87640023381800, 0.06179988309090, 0.}, 0.00721684983490},
+  {{0.06179988309090, 0.87640023381800, 0.}, 0.00721684983490},
+  {{0.01939096124870, 0.01939096124870, 0.}, 0.00246170180120},
+  {{0.96121807750300, 0.01939096124870, 0.}, 0.00246170180120},
+  {{0.01939096124870, 0.96121807750300, 0.}, 0.00246170180120},
+  {{0.77060855477500, 0.17226668782100, 0.}, 0.01233287660630},
+  {{0.05712475740360, 0.77060855477500, 0.}, 0.01233287660630},
+  {{0.17226668782100, 0.05712475740360, 0.}, 0.01233287660630},
+  {{0.05712475740360, 0.17226668782100, 0.}, 0.01233287660630},
+  {{0.17226668782100, 0.77060855477500, 0.}, 0.01233287660630},
+  {{0.77060855477500, 0.05712475740360, 0.}, 0.01233287660630},
+  {{0.57022229084700, 0.33686145979600, 0.}, 0.01928575539355},
+  {{0.09291624935700, 0.57022229084700, 0.}, 0.01928575539355},
+  {{0.33686145979600, 0.09291624935700, 0.}, 0.01928575539355},
+  {{0.09291624935700, 0.33686145979600, 0.}, 0.01928575539355},
+  {{0.33686145979600, 0.57022229084700, 0.}, 0.01928575539355},
+  {{0.57022229084700, 0.09291624935700, 0.}, 0.01928575539355},
+  {{0.68698016780800, 0.29837288213600, 0.}, 0.00721815405675},
+  {{0.01464695005570, 0.68698016780800, 0.}, 0.00721815405675},
+  {{0.29837288213600, 0.01464695005570, 0.}, 0.00721815405675},
+  {{0.01464695005570, 0.29837288213600, 0.}, 0.00721815405675},
+  {{0.29837288213600, 0.68698016780800, 0.}, 0.00721815405675},
+  {{0.68698016780800, 0.01464695005570, 0.}, 0.00721815405675},
+  {{0.87975717137000, 0.11897449769700, 0.}, 0.00250511441925},
+  {{0.00126833093287, 0.87975717137000, 0.}, 0.00250511441925},
+  {{0.11897449769700, 0.00126833093287, 0.}, 0.00250511441925},
+  {{0.00126833093287, 0.11897449769700, 0.}, 0.00250511441925},
+  {{0.11897449769700, 0.87975717137000, 0.}, 0.00250511441925},
+  {{0.87975717137000, 0.00126833093287, 0.}, 0.00250511441925}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 15 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP15Solin[48] = {
-  {{0.506972916858 , 0.506972916858 ,0}, 0.00191687564285},
-  {{0.506972916858 , -0.0139458337165 ,0}, 0.00191687564285},
-  {{-0.0139458337165 , 0.506972916858 ,0}, 0.00191687564285},
-  {{0.431406354283 , 0.431406354283 ,0}, 0.0442490272711},
-  {{0.431406354283 , 0.137187291434 ,0}, 0.0442490272711},
-  {{0.137187291434 , 0.431406354283 ,0}, 0.0442490272711},
-  {{0.277693644847 , 0.277693644847 ,0}, 0.0511865487189},
-  {{0.277693644847 , 0.444612710306 ,0}, 0.0511865487189},
-  {{0.444612710306 , 0.277693644847 ,0}, 0.0511865487189},
-  {{0.126464891041 , 0.126464891041 ,0}, 0.0236877358707},
-  {{0.126464891041 , 0.747070217917 ,0}, 0.0236877358707},
-  {{0.747070217917 , 0.126464891041 ,0}, 0.0236877358707},
-  {{0.0708083859747 , 0.0708083859747 ,0}, 0.01328977569},
-  {{0.0708083859747 , 0.858383228051 ,0}, 0.01328977569},
-  {{0.858383228051 , 0.0708083859747 ,0}, 0.01328977569},
-  {{0.0189651702411 , 0.0189651702411 ,0}, 0.00474891660819},
-  {{0.0189651702411 , 0.962069659518 ,0}, 0.00474891660819},
-  {{0.962069659518 , 0.0189651702411 ,0}, 0.00474891660819},
-  {{0.26131137114 , 0.604954466893 ,0}, 0.0385500725996},
-  {{0.604954466893 , 0.133734161967 ,0}, 0.0385500725996},
-  {{0.133734161967 , 0.26131137114 ,0}, 0.0385500725996},
-  {{0.26131137114 , 0.133734161967 ,0}, 0.0385500725996},
-  {{0.604954466893 , 0.26131137114 ,0}, 0.0385500725996},
-  {{0.133734161967 , 0.604954466893 ,0}, 0.0385500725996},
-  {{0.38804676709 , 0.575586555513 ,0}, 0.0272158143206},
-  {{0.575586555513 , 0.0363666773969 ,0}, 0.0272158143206},
-  {{0.0363666773969 , 0.38804676709 ,0}, 0.0272158143206},
-  {{0.38804676709 , 0.0363666773969 ,0}, 0.0272158143206},
-  {{0.575586555513 , 0.38804676709 ,0}, 0.0272158143206},
-  {{0.0363666773969 , 0.575586555513 ,0}, 0.0272158143206},
-  {{0.28571222005 , 0.724462663077 ,0}, 0.0021820773668},
-  {{0.724462663077 , -0.0101748831266 ,0}, 0.0021820773668},
-  {{-0.0101748831266 , 0.28571222005 ,0}, 0.0021820773668},
-  {{0.28571222005 , -0.0101748831266 ,0}, 0.0021820773668},
-  {{0.724462663077 , 0.28571222005 ,0}, 0.0021820773668},
-  {{-0.0101748831266 , 0.724462663077 ,0}, 0.0021820773668},
-  {{0.215599664072 , 0.747556466052 ,0}, 0.0215053198477},
-  {{0.747556466052 , 0.0368438698759 ,0}, 0.0215053198477},
-  {{0.0368438698759 , 0.215599664072 ,0}, 0.0215053198477},
-  {{0.215599664072 , 0.0368438698759 ,0}, 0.0215053198477},
-  {{0.747556466052 , 0.215599664072 ,0}, 0.0215053198477},
-  {{0.0368438698759 , 0.747556466052 ,0}, 0.0215053198477},
-  {{0.103575616576 , 0.883964574092 ,0}, 0.00767394263105},
-  {{0.883964574092 , 0.0124598093312 ,0}, 0.00767394263105},
-  {{0.0124598093312 , 0.103575616576 ,0}, 0.00767394263105},
-  {{0.103575616576 , 0.0124598093312 ,0}, 0.00767394263105},
-  {{0.883964574092 , 0.103575616576 ,0}, 0.00767394263105},
-  {{0.0124598093312 , 0.883964574092 ,0}, 0.00767394263105}
+  {{+0.5069729168580, +0.5069729168580, 0.}, 0.000958437821425},
+  {{-0.0139458337165, +0.5069729168580, 0.}, 0.000958437821425},
+  {{+0.5069729168580, -0.0139458337165, 0.}, 0.000958437821425},
+  {{+0.4314063542830, +0.4314063542830, 0.}, 0.022124513635550},
+  {{+0.1371872914340, +0.4314063542830, 0.}, 0.022124513635550},
+  {{+0.4314063542830, +0.1371872914340, 0.}, 0.022124513635550},
+  {{+0.2776936448470, +0.2776936448470, 0.}, 0.025593274359450},
+  {{+0.4446127103060, +0.2776936448470, 0.}, 0.025593274359450},
+  {{+0.2776936448470, +0.4446127103060, 0.}, 0.025593274359450},
+  {{+0.1264648910410, +0.1264648910410, 0.}, 0.011843867935350},
+  {{+0.7470702179170, +0.1264648910410, 0.}, 0.011843867935350},
+  {{+0.1264648910410, +0.7470702179170, 0.}, 0.011843867935350},
+  {{+0.0708083859747, +0.0708083859747, 0.}, 0.006644887845000},
+  {{+0.8583832280510, +0.0708083859747, 0.}, 0.006644887845000},
+  {{+0.0708083859747, +0.8583832280510, 0.}, 0.006644887845000},
+  {{+0.0189651702411, +0.0189651702411, 0.}, 0.002374458304095},
+  {{+0.9620696595180, +0.0189651702411, 0.}, 0.002374458304095},
+  {{+0.0189651702411, +0.9620696595180, 0.}, 0.002374458304095},
+  {{+0.6049544668930, +0.2613113711400, 0.}, 0.019275036299800},
+  {{+0.1337341619670, +0.6049544668930, 0.}, 0.019275036299800},
+  {{+0.2613113711400, +0.1337341619670, 0.}, 0.019275036299800},
+  {{+0.1337341619670, +0.2613113711400, 0.}, 0.019275036299800},
+  {{+0.2613113711400, +0.6049544668930, 0.}, 0.019275036299800},
+  {{+0.6049544668930, +0.1337341619670, 0.}, 0.019275036299800},
+  {{+0.5755865555130, +0.3880467670900, 0.}, 0.013607907160300},
+  {{+0.0363666773969, +0.5755865555130, 0.}, 0.013607907160300},
+  {{+0.3880467670900, +0.0363666773969, 0.}, 0.013607907160300},
+  {{+0.0363666773969, +0.3880467670900, 0.}, 0.013607907160300},
+  {{+0.3880467670900, +0.5755865555130, 0.}, 0.013607907160300},
+  {{+0.5755865555130, +0.0363666773969, 0.}, 0.013607907160300},
+  {{+0.7244626630770, +0.2857122200500, 0.}, 0.001091038683400},
+  {{-0.0101748831266, +0.7244626630770, 0.}, 0.001091038683400},
+  {{+0.2857122200500, -0.0101748831266, 0.}, 0.001091038683400},
+  {{-0.0101748831266, +0.2857122200500, 0.}, 0.001091038683400},
+  {{+0.2857122200500, +0.7244626630770, 0.}, 0.001091038683400},
+  {{+0.7244626630770, -0.0101748831266, 0.}, 0.001091038683400},
+  {{+0.7475564660520, +0.2155996640720, 0.}, 0.010752659923850},
+  {{+0.0368438698759, +0.7475564660520, 0.}, 0.010752659923850},
+  {{+0.2155996640720, +0.0368438698759, 0.}, 0.010752659923850},
+  {{+0.0368438698759, +0.2155996640720, 0.}, 0.010752659923850},
+  {{+0.2155996640720, +0.7475564660520, 0.}, 0.010752659923850},
+  {{+0.7475564660520, +0.0368438698759, 0.}, 0.010752659923850},
+  {{+0.8839645740920, +0.1035756165760, 0.}, 0.003836971315525},
+  {{+0.0124598093312, +0.8839645740920, 0.}, 0.003836971315525},
+  {{+0.1035756165760, +0.0124598093312, 0.}, 0.003836971315525},
+  {{+0.0124598093312, +0.1035756165760, 0.}, 0.003836971315525},
+  {{+0.1035756165760, +0.8839645740920, 0.}, 0.003836971315525},
+  {{+0.8839645740920, +0.0124598093312, 0.}, 0.003836971315525}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 9 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 16 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP16Solin[52] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0468756974276},
-  {{0.497380541948 , 0.497380541948 ,0}, 0.00640587857858},
-  {{0.497380541948 , 0.00523891610312 ,0}, 0.00640587857858},
-  {{0.00523891610312 , 0.497380541948 ,0}, 0.00640587857858},
-  {{0.413469438549 , 0.413469438549 ,0}, 0.0417102967394},
-  {{0.413469438549 , 0.173061122901 ,0}, 0.0417102967394},
-  {{0.173061122901 , 0.413469438549 ,0}, 0.0417102967394},
-  {{0.470458599067 , 0.470458599067 ,0}, 0.0268914842501},
-  {{0.470458599067 , 0.059082801866 ,0}, 0.0268914842501},
-  {{0.059082801866 , 0.470458599067 ,0}, 0.0268914842501},
-  {{0.24055374997 , 0.24055374997 ,0}, 0.0421325227616},
-  {{0.24055374997 , 0.518892500061 ,0}, 0.0421325227616},
-  {{0.518892500061 , 0.24055374997 ,0}, 0.0421325227616},
-  {{0.147965794223 , 0.147965794223 ,0}, 0.0300002668428},
-  {{0.147965794223 , 0.704068411555 ,0}, 0.0300002668428},
-  {{0.704068411555 , 0.147965794223 ,0}, 0.0300002668428},
-  {{0.0754651876575 , 0.0754651876575 ,0}, 0.014200098925},
-  {{0.0754651876575 , 0.849069624685 ,0}, 0.014200098925},
-  {{0.849069624685 , 0.0754651876575 ,0}, 0.014200098925},
-  {{0.016596402623 , 0.016596402623 ,0}, 0.00358246235127},
-  {{0.016596402623 , 0.966807194754 ,0}, 0.00358246235127},
-  {{0.966807194754 , 0.016596402623 ,0}, 0.00358246235127},
-  {{0.29655559658 , 0.599868711175 ,0}, 0.0327731474606},
-  {{0.599868711175 , 0.103575692245 ,0}, 0.0327731474606},
-  {{0.103575692245 , 0.29655559658 ,0}, 0.0327731474606},
-  {{0.29655559658 , 0.103575692245 ,0}, 0.0327731474606},
-  {{0.599868711175 , 0.29655559658 ,0}, 0.0327731474606},
-  {{0.103575692245 , 0.599868711175 ,0}, 0.0327731474606},
-  {{0.337723063403 , 0.642193524942 ,0}, 0.0152983062484},
-  {{0.642193524942 , 0.0200834116554 ,0}, 0.0152983062484},
-  {{0.0200834116554 , 0.337723063403 ,0}, 0.0152983062484},
-  {{0.337723063403 , 0.0200834116554 ,0}, 0.0152983062484},
-  {{0.642193524942 , 0.337723063403 ,0}, 0.0152983062484},
-  {{0.0200834116554 , 0.642193524942 ,0}, 0.0152983062484},
-  {{0.204748281643 , 0.799592720971 ,0}, 0.00238624419284},
-  {{0.799592720971 , -0.00434100261414 ,0}, 0.00238624419284},
-  {{-0.00434100261414 , 0.204748281643 ,0}, 0.00238624419284},
-  {{0.204748281643 , -0.00434100261414 ,0}, 0.00238624419284},
-  {{0.799592720971 , 0.204748281643 ,0}, 0.00238624419284},
-  {{-0.00434100261414 , 0.799592720971 ,0}, 0.00238624419284},
-  {{0.189358492131 , 0.768699721401 ,0}, 0.0190847927559},
-  {{0.768699721401 , 0.041941786468 ,0}, 0.0190847927559},
-  {{0.041941786468 , 0.189358492131 ,0}, 0.0190847927559},
-  {{0.189358492131 , 0.041941786468 ,0}, 0.0190847927559},
-  {{0.768699721401 , 0.189358492131 ,0}, 0.0190847927559},
-  {{0.041941786468 , 0.768699721401 ,0}, 0.0190847927559},
-  {{0.0852836156827 , 0.900399064087 ,0}, 0.00685005454654},
-  {{0.900399064087 , 0.0143173202307 ,0}, 0.00685005454654},
-  {{0.0143173202307 , 0.0852836156827 ,0}, 0.00685005454654},
-  {{0.0852836156827 , 0.0143173202307 ,0}, 0.00685005454654},
-  {{0.900399064087 , 0.0852836156827 ,0}, 0.00685005454654},
-  {{0.0143173202307 , 0.900399064087 ,0}, 0.00685005454654}
+  {{+0.33333333333330, +0.33333333333330, 0.}, 0.023437848713800},
+  {{+0.49738054194800, +0.49738054194800, 0.}, 0.003202939289290},
+  {{+0.00523891610312, +0.49738054194800, 0.}, 0.003202939289290},
+  {{+0.49738054194800, +0.00523891610312, 0.}, 0.003202939289290},
+  {{+0.41346943854900, +0.41346943854900, 0.}, 0.020855148369700},
+  {{+0.17306112290100, +0.41346943854900, 0.}, 0.020855148369700},
+  {{+0.41346943854900, +0.17306112290100, 0.}, 0.020855148369700},
+  {{+0.47045859906700, +0.47045859906700, 0.}, 0.013445742125050},
+  {{+0.05908280186600, +0.47045859906700, 0.}, 0.013445742125050},
+  {{+0.47045859906700, +0.05908280186600, 0.}, 0.013445742125050},
+  {{+0.24055374997000, +0.24055374997000, 0.}, 0.021066261380800},
+  {{+0.51889250006100, +0.24055374997000, 0.}, 0.021066261380800},
+  {{+0.24055374997000, +0.51889250006100, 0.}, 0.021066261380800},
+  {{+0.14796579422300, +0.14796579422300, 0.}, 0.015000133421400},
+  {{+0.70406841155500, +0.14796579422300, 0.}, 0.015000133421400},
+  {{+0.14796579422300, +0.70406841155500, 0.}, 0.015000133421400},
+  {{+0.07546518765750, +0.07546518765750, 0.}, 0.007100049462500},
+  {{+0.84906962468500, +0.07546518765750, 0.}, 0.007100049462500},
+  {{+0.07546518765750, +0.84906962468500, 0.}, 0.007100049462500},
+  {{+0.01659640262300, +0.01659640262300, 0.}, 0.001791231175635},
+  {{+0.96680719475400, +0.01659640262300, 0.}, 0.001791231175635},
+  {{+0.01659640262300, +0.96680719475400, 0.}, 0.001791231175635},
+  {{+0.59986871117500, +0.29655559658000, 0.}, 0.016386573730300},
+  {{+0.10357569224500, +0.59986871117500, 0.}, 0.016386573730300},
+  {{+0.29655559658000, +0.10357569224500, 0.}, 0.016386573730300},
+  {{+0.10357569224500, +0.29655559658000, 0.}, 0.016386573730300},
+  {{+0.29655559658000, +0.59986871117500, 0.}, 0.016386573730300},
+  {{+0.59986871117500, +0.10357569224500, 0.}, 0.016386573730300},
+  {{+0.64219352494200, +0.33772306340300, 0.}, 0.007649153124200},
+  {{+0.02008341165540, +0.64219352494200, 0.}, 0.007649153124200},
+  {{+0.33772306340300, +0.02008341165540, 0.}, 0.007649153124200},
+  {{+0.02008341165540, +0.33772306340300, 0.}, 0.007649153124200},
+  {{+0.33772306340300, +0.64219352494200, 0.}, 0.007649153124200},
+  {{+0.64219352494200, +0.02008341165540, 0.}, 0.007649153124200},
+  {{+0.79959272097100, +0.20474828164300, 0.}, 0.001193122096420},
+  {{-0.00434100261414, +0.79959272097100, 0.}, 0.001193122096420},
+  {{+0.20474828164300, -0.00434100261414, 0.}, 0.001193122096420},
+  {{-0.00434100261414, +0.20474828164300, 0.}, 0.001193122096420},
+  {{+0.20474828164300, +0.79959272097100, 0.}, 0.001193122096420},
+  {{+0.79959272097100, -0.00434100261414, 0.}, 0.001193122096420},
+  {{+0.76869972140100, +0.18935849213100, 0.}, 0.009542396377950},
+  {{+0.04194178646800, +0.76869972140100, 0.}, 0.009542396377950},
+  {{+0.18935849213100, +0.04194178646800, 0.}, 0.009542396377950},
+  {{+0.04194178646800, +0.18935849213100, 0.}, 0.009542396377950},
+  {{+0.18935849213100, +0.76869972140100, 0.}, 0.009542396377950},
+  {{+0.76869972140100, +0.04194178646800, 0.}, 0.009542396377950},
+  {{+0.90039906408700, +0.08528361568270, 0.}, 0.003425027273270},
+  {{+0.01431732023070, +0.90039906408700, 0.}, 0.003425027273270},
+  {{+0.08528361568270, +0.01431732023070, 0.}, 0.003425027273270},
+  {{+0.01431732023070, +0.08528361568270, 0.}, 0.003425027273270},
+  {{+0.08528361568270, +0.90039906408700, 0.}, 0.003425027273270},
+  {{+0.90039906408700, +0.01431732023070, 0.}, 0.003425027273270}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 6 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 17 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP17Solin[61] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0334371992908},
-  {{0.497170540557 , 0.497170540557 ,0}, 0.00509341544051},
-  {{0.497170540557 , 0.00565891888645 ,0}, 0.00509341544051},
-  {{0.00565891888645 , 0.497170540557 ,0}, 0.00509341544051},
-  {{0.482176322625 , 0.482176322625 ,0}, 0.0146708645276},
-  {{0.482176322625 , 0.0356473547508 ,0}, 0.0146708645276},
-  {{0.0356473547508 , 0.482176322625 ,0}, 0.0146708645276},
-  {{0.450239969021 , 0.450239969021 ,0}, 0.0243508783537},
-  {{0.450239969021 , 0.0995200619584 ,0}, 0.0243508783537},
-  {{0.0995200619584 , 0.450239969021 ,0}, 0.0243508783537},
-  {{0.400266239377 , 0.400266239377 ,0}, 0.031107550869},
-  {{0.400266239377 , 0.199467521245 ,0}, 0.031107550869},
-  {{0.199467521245 , 0.400266239377 ,0}, 0.031107550869},
-  {{0.252141267971 , 0.252141267971 ,0}, 0.0312571112186},
-  {{0.252141267971 , 0.495717464058 ,0}, 0.0312571112186},
-  {{0.495717464058 , 0.252141267971 ,0}, 0.0312571112186},
-  {{0.162047004658 , 0.162047004658 ,0}, 0.0248156543397},
-  {{0.162047004658 , 0.675905990683 ,0}, 0.0248156543397},
-  {{0.675905990683 , 0.162047004658 ,0}, 0.0248156543397},
-  {{0.0758758822607 , 0.0758758822607 ,0}, 0.0140560730706},
-  {{0.0758758822607 , 0.848248235479 ,0}, 0.0140560730706},
-  {{0.848248235479 , 0.0758758822607 ,0}, 0.0140560730706},
-  {{0.0156547269678 , 0.0156547269678 ,0}, 0.00319467617378},
-  {{0.0156547269678 , 0.968690546064 ,0}, 0.00319467617378},
-  {{0.968690546064 , 0.0156547269678 ,0}, 0.00319467617378},
-  {{0.334319867364 , 0.655493203809 ,0}, 0.00811965531899},
-  {{0.655493203809 , 0.0101869288269 ,0}, 0.00811965531899},
-  {{0.0101869288269 , 0.334319867364 ,0}, 0.00811965531899},
-  {{0.334319867364 , 0.0101869288269 ,0}, 0.00811965531899},
-  {{0.655493203809 , 0.334319867364 ,0}, 0.00811965531899},
-  {{0.0101869288269 , 0.655493203809 ,0}, 0.00811965531899},
-  {{0.292221537797 , 0.572337590532 ,0}, 0.0268057422832},
-  {{0.572337590532 , 0.135440871671 ,0}, 0.0268057422832},
-  {{0.135440871671 , 0.292221537797 ,0}, 0.0268057422832},
-  {{0.292221537797 , 0.135440871671 ,0}, 0.0268057422832},
-  {{0.572337590532 , 0.292221537797 ,0}, 0.0268057422832},
-  {{0.135440871671 , 0.572337590532 ,0}, 0.0268057422832},
-  {{0.319574885423 , 0.626001190286 ,0}, 0.0184599932108},
-  {{0.626001190286 , 0.0544239242906 ,0}, 0.0184599932108},
-  {{0.0544239242906 , 0.319574885423 ,0}, 0.0184599932108},
-  {{0.319574885423 , 0.0544239242906 ,0}, 0.0184599932108},
-  {{0.626001190286 , 0.319574885423 ,0}, 0.0184599932108},
-  {{0.0544239242906 , 0.626001190286 ,0}, 0.0184599932108},
-  {{0.190704224192 , 0.796427214974 ,0}, 0.00847686853433},
-  {{0.796427214974 , 0.0128685608336 ,0}, 0.00847686853433},
-  {{0.0128685608336 , 0.190704224192 ,0}, 0.00847686853433},
-  {{0.190704224192 , 0.0128685608336 ,0}, 0.00847686853433},
-  {{0.796427214974 , 0.190704224192 ,0}, 0.00847686853433},
-  {{0.0128685608336 , 0.796427214974 ,0}, 0.00847686853433},
-  {{0.180483211649 , 0.752351005938 ,0}, 0.01829279677},
-  {{0.752351005938 , 0.0671657824135 ,0}, 0.01829279677},
-  {{0.0671657824135 , 0.180483211649 ,0}, 0.01829279677},
-  {{0.180483211649 , 0.0671657824135 ,0}, 0.01829279677},
-  {{0.752351005938 , 0.180483211649 ,0}, 0.01829279677},
-  {{0.0671657824135 , 0.752351005938 ,0}, 0.01829279677},
-  {{0.0807113136796 , 0.904625504096 ,0}, 0.00666563200417},
-  {{0.904625504096 , 0.0146631822248 ,0}, 0.00666563200417},
-  {{0.0146631822248 , 0.0807113136796 ,0}, 0.00666563200417},
-  {{0.0807113136796 , 0.0146631822248 ,0}, 0.00666563200417},
-  {{0.904625504096 , 0.0807113136796 ,0}, 0.00666563200417},
-  {{0.0146631822248 , 0.904625504096 ,0}, 0.00666563200417}
+  {{0.33333333333330, 0.33333333333330, 0.}, 0.016718599645400},
+  {{0.49717054055700, 0.49717054055700, 0.}, 0.002546707720255},
+  {{0.00565891888645, 0.49717054055700, 0.}, 0.002546707720255},
+  {{0.49717054055700, 0.00565891888645, 0.}, 0.002546707720255},
+  {{0.48217632262500, 0.48217632262500, 0.}, 0.007335432263800},
+  {{0.03564735475080, 0.48217632262500, 0.}, 0.007335432263800},
+  {{0.48217632262500, 0.03564735475080, 0.}, 0.007335432263800},
+  {{0.45023996902100, 0.45023996902100, 0.}, 0.012175439176850},
+  {{0.09952006195840, 0.45023996902100, 0.}, 0.012175439176850},
+  {{0.45023996902100, 0.09952006195840, 0.}, 0.012175439176850},
+  {{0.40026623937700, 0.40026623937700, 0.}, 0.015553775434500},
+  {{0.19946752124500, 0.40026623937700, 0.}, 0.015553775434500},
+  {{0.40026623937700, 0.19946752124500, 0.}, 0.015553775434500},
+  {{0.25214126797100, 0.25214126797100, 0.}, 0.015628555609300},
+  {{0.49571746405800, 0.25214126797100, 0.}, 0.015628555609300},
+  {{0.25214126797100, 0.49571746405800, 0.}, 0.015628555609300},
+  {{0.16204700465800, 0.16204700465800, 0.}, 0.012407827169850},
+  {{0.67590599068300, 0.16204700465800, 0.}, 0.012407827169850},
+  {{0.16204700465800, 0.67590599068300, 0.}, 0.012407827169850},
+  {{0.07587588226070, 0.07587588226070, 0.}, 0.007028036535300},
+  {{0.84824823547900, 0.07587588226070, 0.}, 0.007028036535300},
+  {{0.07587588226070, 0.84824823547900, 0.}, 0.007028036535300},
+  {{0.01565472696780, 0.01565472696780, 0.}, 0.001597338086890},
+  {{0.96869054606400, 0.01565472696780, 0.}, 0.001597338086890},
+  {{0.01565472696780, 0.96869054606400, 0.}, 0.001597338086890},
+  {{0.65549320380900, 0.33431986736400, 0.}, 0.004059827659495},
+  {{0.01018692882690, 0.65549320380900, 0.}, 0.004059827659495},
+  {{0.33431986736400, 0.01018692882690, 0.}, 0.004059827659495},
+  {{0.01018692882690, 0.33431986736400, 0.}, 0.004059827659495},
+  {{0.33431986736400, 0.65549320380900, 0.}, 0.004059827659495},
+  {{0.65549320380900, 0.01018692882690, 0.}, 0.004059827659495},
+  {{0.57233759053200, 0.29222153779700, 0.}, 0.013402871141600},
+  {{0.13544087167100, 0.57233759053200, 0.}, 0.013402871141600},
+  {{0.29222153779700, 0.13544087167100, 0.}, 0.013402871141600},
+  {{0.13544087167100, 0.29222153779700, 0.}, 0.013402871141600},
+  {{0.29222153779700, 0.57233759053200, 0.}, 0.013402871141600},
+  {{0.57233759053200, 0.13544087167100, 0.}, 0.013402871141600},
+  {{0.62600119028600, 0.31957488542300, 0.}, 0.009229996605400},
+  {{0.05442392429060, 0.62600119028600, 0.}, 0.009229996605400},
+  {{0.31957488542300, 0.05442392429060, 0.}, 0.009229996605400},
+  {{0.05442392429060, 0.31957488542300, 0.}, 0.009229996605400},
+  {{0.31957488542300, 0.62600119028600, 0.}, 0.009229996605400},
+  {{0.62600119028600, 0.05442392429060, 0.}, 0.009229996605400},
+  {{0.79642721497400, 0.19070422419200, 0.}, 0.004238434267165},
+  {{0.01286856083360, 0.79642721497400, 0.}, 0.004238434267165},
+  {{0.19070422419200, 0.01286856083360, 0.}, 0.004238434267165},
+  {{0.01286856083360, 0.19070422419200, 0.}, 0.004238434267165},
+  {{0.19070422419200, 0.79642721497400, 0.}, 0.004238434267165},
+  {{0.79642721497400, 0.01286856083360, 0.}, 0.004238434267165},
+  {{0.75235100593800, 0.18048321164900, 0.}, 0.009146398385000},
+  {{0.06716578241350, 0.75235100593800, 0.}, 0.009146398385000},
+  {{0.18048321164900, 0.06716578241350, 0.}, 0.009146398385000},
+  {{0.06716578241350, 0.18048321164900, 0.}, 0.009146398385000},
+  {{0.18048321164900, 0.75235100593800, 0.}, 0.009146398385000},
+  {{0.75235100593800, 0.06716578241350, 0.}, 0.009146398385000},
+  {{0.90462550409600, 0.08071131367960, 0.}, 0.003332816002085},
+  {{0.01466318222480, 0.90462550409600, 0.}, 0.003332816002085},
+  {{0.08071131367960, 0.01466318222480, 0.}, 0.003332816002085},
+  {{0.01466318222480, 0.08071131367960, 0.}, 0.003332816002085},
+  {{0.08071131367960, 0.90462550409600, 0.}, 0.003332816002085},
+  {{0.90462550409600, 0.01466318222480, 0.}, 0.003332816002085}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 18 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP18Solin[70] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0308099399376},
-  {{0.493344808631 , 0.493344808631 ,0}, 0.0090724366794},
-  {{0.493344808631 , 0.0133103827382 ,0}, 0.0090724366794},
-  {{0.0133103827382 , 0.493344808631 ,0}, 0.0090724366794},
-  {{0.469210594242 , 0.469210594242 ,0}, 0.0187613169396},
-  {{0.469210594242 , 0.0615788115161 ,0}, 0.0187613169396},
-  {{0.0615788115161 , 0.469210594242 ,0}, 0.0187613169396},
-  {{0.436281395887 , 0.436281395887 ,0}, 0.0194410979855},
-  {{0.436281395887 , 0.127437208226 ,0}, 0.0194410979855},
-  {{0.127437208226 , 0.436281395887 ,0}, 0.0194410979855},
-  {{0.394846170673 , 0.394846170673 ,0}, 0.0277539486108},
-  {{0.394846170673 , 0.210307658653 ,0}, 0.0277539486108},
-  {{0.210307658653 , 0.394846170673 ,0}, 0.0277539486108},
-  {{0.249794568803 , 0.249794568803 ,0}, 0.0322562253515},
-  {{0.249794568803 , 0.500410862394 ,0}, 0.0322562253515},
-  {{0.500410862394 , 0.249794568803 ,0}, 0.0322562253515},
-  {{0.161432193744 , 0.161432193744 ,0}, 0.0250740326169},
-  {{0.161432193744 , 0.677135612512 ,0}, 0.0250740326169},
-  {{0.677135612512 , 0.161432193744 ,0}, 0.0250740326169},
-  {{0.0765982274854 , 0.0765982274854 ,0}, 0.0152719279718},
-  {{0.0765982274854 , 0.846803545029 ,0}, 0.0152719279718},
-  {{0.846803545029 , 0.0765982274854 ,0}, 0.0152719279718},
-  {{0.0242524393535 , 0.0242524393535 ,0}, 0.00679392202296},
-  {{0.0242524393535 , 0.951495121293 ,0}, 0.00679392202296},
-  {{0.951495121293 , 0.0242524393535 ,0}, 0.00679392202296},
-  {{0.043146367217 , 0.043146367217 ,0}, -0.00222309872992},
-  {{0.043146367217 , 0.913707265566 ,0}, -0.00222309872992},
-  {{0.913707265566 , 0.043146367217 ,0}, -0.00222309872992},
-  {{0.358911494941 , 0.632657968857 ,0}, 0.00633191407641},
-  {{0.632657968857 , 0.00843053620242 ,0}, 0.00633191407641},
-  {{0.00843053620242 , 0.358911494941 ,0}, 0.00633191407641},
-  {{0.358911494941 , 0.00843053620242 ,0}, 0.00633191407641},
-  {{0.632657968857 , 0.358911494941 ,0}, 0.00633191407641},
-  {{0.00843053620242 , 0.632657968857 ,0}, 0.00633191407641},
-  {{0.294402476752 , 0.574410971511 ,0}, 0.0272575380491},
-  {{0.574410971511 , 0.131186551737 ,0}, 0.0272575380491},
-  {{0.131186551737 , 0.294402476752 ,0}, 0.0272575380491},
-  {{0.294402476752 , 0.131186551737 ,0}, 0.0272575380491},
-  {{0.574410971511 , 0.294402476752 ,0}, 0.0272575380491},
-  {{0.131186551737 , 0.574410971511 ,0}, 0.0272575380491},
-  {{0.325017801642 , 0.624779046793 ,0}, 0.0176767856495},
-  {{0.624779046793 , 0.0502031515657 ,0}, 0.0176767856495},
-  {{0.0502031515657 , 0.325017801642 ,0}, 0.0176767856495},
-  {{0.325017801642 , 0.0502031515657 ,0}, 0.0176767856495},
-  {{0.624779046793 , 0.325017801642 ,0}, 0.0176767856495},
-  {{0.0502031515657 , 0.624779046793 ,0}, 0.0176767856495},
-  {{0.184737559666 , 0.748933176523 ,0}, 0.0183794846381},
-  {{0.748933176523 , 0.0663292638109 ,0}, 0.0183794846381},
-  {{0.0663292638109 , 0.184737559666 ,0}, 0.0183794846381},
-  {{0.184737559666 , 0.0663292638109 ,0}, 0.0183794846381},
-  {{0.748933176523 , 0.184737559666 ,0}, 0.0183794846381},
-  {{0.0663292638109 , 0.748933176523 ,0}, 0.0183794846381},
-  {{0.218796800013 , 0.76920700542 ,0}, 0.00810473280819},
-  {{0.76920700542 , 0.0119961945662 ,0}, 0.00810473280819},
-  {{0.0119961945662 , 0.218796800013 ,0}, 0.00810473280819},
-  {{0.218796800013 , 0.0119961945662 ,0}, 0.00810473280819},
-  {{0.76920700542 , 0.218796800013 ,0}, 0.00810473280819},
-  {{0.0119961945662 , 0.76920700542 ,0}, 0.00810473280819},
-  {{0.101179597136 , 0.883962302273 ,0}, 0.00763412907073},
-  {{0.883962302273 , 0.0148581005901 ,0}, 0.00763412907073},
-  {{0.0148581005901 , 0.101179597136 ,0}, 0.00763412907073},
-  {{0.101179597136 , 0.0148581005901 ,0}, 0.00763412907073},
-  {{0.883962302273 , 0.101179597136 ,0}, 0.00763412907073},
-  {{0.0148581005901 , 0.883962302273 ,0}, 0.00763412907073},
-  {{0.0208747552826 , 1.01434726001 ,0}, 4.6187660794e-05},
-  {{1.01434726001 , -0.0352220152879 ,0}, 4.6187660794e-05},
-  {{-0.0352220152879 , 0.0208747552826 ,0}, 4.6187660794e-05},
-  {{0.0208747552826 , -0.0352220152879 ,0}, 4.6187660794e-05},
-  {{1.01434726001 , 0.0208747552826 ,0}, 4.6187660794e-05},
-  {{-0.0352220152879 , 1.01434726001 ,0}, 4.6187660794e-05}
+  {{+0.33333333333330, +0.33333333333330, 0.}, +0.015404969968800},
+  {{+0.49334480863100, +0.49334480863100, 0.}, +0.004536218339700},
+  {{+0.01331038273820, +0.49334480863100, 0.}, +0.004536218339700},
+  {{+0.49334480863100, +0.01331038273820, 0.}, +0.004536218339700},
+  {{+0.46921059424200, +0.46921059424200, 0.}, +0.009380658469800},
+  {{+0.06157881151610, +0.46921059424200, 0.}, +0.009380658469800},
+  {{+0.46921059424200, +0.06157881151610, 0.}, +0.009380658469800},
+  {{+0.43628139588700, +0.43628139588700, 0.}, +0.009720548992750},
+  {{+0.12743720822600, +0.43628139588700, 0.}, +0.009720548992750},
+  {{+0.43628139588700, +0.12743720822600, 0.}, +0.009720548992750},
+  {{+0.39484617067300, +0.39484617067300, 0.}, +0.013876974305400},
+  {{+0.21030765865300, +0.39484617067300, 0.}, +0.013876974305400},
+  {{+0.39484617067300, +0.21030765865300, 0.}, +0.013876974305400},
+  {{+0.24979456880300, +0.24979456880300, 0.}, +0.016128112675750},
+  {{+0.50041086239400, +0.24979456880300, 0.}, +0.016128112675750},
+  {{+0.24979456880300, +0.50041086239400, 0.}, +0.016128112675750},
+  {{+0.16143219374400, +0.16143219374400, 0.}, +0.012537016308450},
+  {{+0.67713561251200, +0.16143219374400, 0.}, +0.012537016308450},
+  {{+0.16143219374400, +0.67713561251200, 0.}, +0.012537016308450},
+  {{+0.07659822748540, +0.07659822748540, 0.}, +0.007635963985900},
+  {{+0.84680354502900, +0.07659822748540, 0.}, +0.007635963985900},
+  {{+0.07659822748540, +0.84680354502900, 0.}, +0.007635963985900},
+  {{+0.02425243935350, +0.02425243935350, 0.}, +0.003396961011480},
+  {{+0.95149512129300, +0.02425243935350, 0.}, +0.003396961011480},
+  {{+0.02425243935350, +0.95149512129300, 0.}, +0.003396961011480},
+  {{+0.04314636721700, +0.04314636721700, 0.}, -0.001111549364960},
+  {{+0.91370726556600, +0.04314636721700, 0.}, -0.001111549364960},
+  {{+0.04314636721700, +0.91370726556600, 0.}, -0.001111549364960},
+  {{+0.63265796885700, +0.35891149494100, 0.}, +0.003165957038205},
+  {{+0.00843053620242, +0.63265796885700, 0.}, +0.003165957038205},
+  {{+0.35891149494100, +0.00843053620242, 0.}, +0.003165957038205},
+  {{+0.00843053620242, +0.35891149494100, 0.}, +0.003165957038205},
+  {{+0.35891149494100, +0.63265796885700, 0.}, +0.003165957038205},
+  {{+0.63265796885700, +0.00843053620242, 0.}, +0.003165957038205},
+  {{+0.57441097151100, +0.29440247675200, 0.}, +0.013628769024550},
+  {{+0.13118655173700, +0.57441097151100, 0.}, +0.013628769024550},
+  {{+0.29440247675200, +0.13118655173700, 0.}, +0.013628769024550},
+  {{+0.13118655173700, +0.29440247675200, 0.}, +0.013628769024550},
+  {{+0.29440247675200, +0.57441097151100, 0.}, +0.013628769024550},
+  {{+0.57441097151100, +0.13118655173700, 0.}, +0.013628769024550},
+  {{+0.62477904679300, +0.32501780164200, 0.}, +0.008838392824750},
+  {{+0.05020315156570, +0.62477904679300, 0.}, +0.008838392824750},
+  {{+0.32501780164200, +0.05020315156570, 0.}, +0.008838392824750},
+  {{+0.05020315156570, +0.32501780164200, 0.}, +0.008838392824750},
+  {{+0.32501780164200, +0.62477904679300, 0.}, +0.008838392824750},
+  {{+0.62477904679300, +0.05020315156570, 0.}, +0.008838392824750},
+  {{+0.74893317652300, +0.18473755966600, 0.}, +0.009189742319050},
+  {{+0.06632926381090, +0.74893317652300, 0.}, +0.009189742319050},
+  {{+0.18473755966600, +0.06632926381090, 0.}, +0.009189742319050},
+  {{+0.06632926381090, +0.18473755966600, 0.}, +0.009189742319050},
+  {{+0.18473755966600, +0.74893317652300, 0.}, +0.009189742319050},
+  {{+0.74893317652300, +0.06632926381090, 0.}, +0.009189742319050},
+  {{+0.76920700542000, +0.21879680001300, 0.}, +0.004052366404095},
+  {{+0.01199619456620, +0.76920700542000, 0.}, +0.004052366404095},
+  {{+0.21879680001300, +0.01199619456620, 0.}, +0.004052366404095},
+  {{+0.01199619456620, +0.21879680001300, 0.}, +0.004052366404095},
+  {{+0.21879680001300, +0.76920700542000, 0.}, +0.004052366404095},
+  {{+0.76920700542000, +0.01199619456620, 0.}, +0.004052366404095},
+  {{+0.88396230227300, +0.10117959713600, 0.}, +0.003817064535365},
+  {{+0.01485810059010, +0.88396230227300, 0.}, +0.003817064535365},
+  {{+0.10117959713600, +0.01485810059010, 0.}, +0.003817064535365},
+  {{+0.01485810059010, +0.10117959713600, 0.}, +0.003817064535365},
+  {{+0.10117959713600, +0.88396230227300, 0.}, +0.003817064535365},
+  {{+0.88396230227300, +0.01485810059010, 0.}, +0.003817064535365},
+  {{+1.01434726001000, +0.02087475528260, 0.}, +2.3093830397e-05},
+  {{-0.03522201528790, +1.01434726001000, 0.}, +2.3093830397e-05},
+  {{+0.02087475528260, -0.03522201528790, 0.}, +2.3093830397e-05},
+  {{-0.03522201528790, +0.02087475528260, 0.}, +2.3093830397e-05},
+  {{+0.02087475528260, +1.01434726001000, 0.}, +2.3093830397e-05},
+  {{+1.01434726001000, -0.03522201528790, 0.}, +2.3093830397e-05}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 3 negative weights, 6 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 19 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP19Solin[73] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0329063313889},
-  {{0.489609987073 , 0.489609987073 ,0}, 0.0103307318913},
-  {{0.489609987073 , 0.020780025854 ,0}, 0.0103307318913},
-  {{0.020780025854 , 0.489609987073 ,0}, 0.0103307318913},
-  {{0.454536892698 , 0.454536892698 ,0}, 0.022387247263},
-  {{0.454536892698 , 0.0909262146042 ,0}, 0.022387247263},
-  {{0.0909262146042 , 0.454536892698 ,0}, 0.022387247263},
-  {{0.401416680649 , 0.401416680649 ,0}, 0.0302661258695},
-  {{0.401416680649 , 0.197166638701 ,0}, 0.0302661258695},
-  {{0.197166638701 , 0.401416680649 ,0}, 0.0302661258695},
-  {{0.255551654403 , 0.255551654403 ,0}, 0.0304909678022},
-  {{0.255551654403 , 0.488896691194 ,0}, 0.0304909678022},
-  {{0.488896691194 , 0.255551654403 ,0}, 0.0304909678022},
-  {{0.177077942152 , 0.177077942152 ,0}, 0.0241592127416},
-  {{0.177077942152 , 0.645844115696 ,0}, 0.0241592127416},
-  {{0.645844115696 , 0.177077942152 ,0}, 0.0241592127416},
-  {{0.110061053228 , 0.110061053228 ,0}, 0.0160508035868},
-  {{0.110061053228 , 0.779877893544 ,0}, 0.0160508035868},
-  {{0.779877893544 , 0.110061053228 ,0}, 0.0160508035868},
-  {{0.0555286242518 , 0.0555286242518 ,0}, 0.00808458026178},
-  {{0.0555286242518 , 0.888942751496 ,0}, 0.00808458026178},
-  {{0.888942751496 , 0.0555286242518 ,0}, 0.00808458026178},
-  {{0.0126218637772 , 0.0126218637772 ,0}, 0.00207936202748},
-  {{0.0126218637772 , 0.974756272446 ,0}, 0.00207936202748},
-  {{0.974756272446 , 0.0126218637772 ,0}, 0.00207936202748},
-  {{0.395754787357 , 0.600633794795 ,0}, 0.00388487690498},
-  {{0.600633794795 , 0.00361141784841 ,0}, 0.00388487690498},
-  {{0.00361141784841 , 0.395754787357 ,0}, 0.00388487690498},
-  {{0.395754787357 , 0.00361141784841 ,0}, 0.00388487690498},
-  {{0.600633794795 , 0.395754787357 ,0}, 0.00388487690498},
-  {{0.00361141784841 , 0.600633794795 ,0}, 0.00388487690498},
-  {{0.30792998388 , 0.557603261589 ,0}, 0.025574160612},
-  {{0.557603261589 , 0.134466754531 ,0}, 0.025574160612},
-  {{0.134466754531 , 0.30792998388 ,0}, 0.025574160612},
-  {{0.30792998388 , 0.134466754531 ,0}, 0.025574160612},
-  {{0.557603261589 , 0.30792998388 ,0}, 0.025574160612},
-  {{0.134466754531 , 0.557603261589 ,0}, 0.025574160612},
-  {{0.264566948407 , 0.720987025817 ,0}, 0.00888090357334},
-  {{0.720987025817 , 0.0144460257761 ,0}, 0.00888090357334},
-  {{0.0144460257761 , 0.264566948407 ,0}, 0.00888090357334},
-  {{0.264566948407 , 0.0144460257761 ,0}, 0.00888090357334},
-  {{0.720987025817 , 0.264566948407 ,0}, 0.00888090357334},
-  {{0.0144460257761 , 0.720987025817 ,0}, 0.00888090357334},
-  {{0.358539352206 , 0.594527068956 ,0}, 0.0161245467617},
-  {{0.594527068956 , 0.0469335788382 ,0}, 0.0161245467617},
-  {{0.0469335788382 , 0.358539352206 ,0}, 0.0161245467617},
-  {{0.358539352206 , 0.0469335788382 ,0}, 0.0161245467617},
-  {{0.594527068956 , 0.358539352206 ,0}, 0.0161245467617},
-  {{0.0469335788382 , 0.594527068956 ,0}, 0.0161245467617},
-  {{0.157807405969 , 0.839331473681 ,0}, 0.00249194181749},
-  {{0.839331473681 , 0.00286112035057 ,0}, 0.00249194181749},
-  {{0.00286112035057 , 0.157807405969 ,0}, 0.00249194181749},
-  {{0.157807405969 , 0.00286112035057 ,0}, 0.00249194181749},
-  {{0.839331473681 , 0.157807405969 ,0}, 0.00249194181749},
-  {{0.00286112035057 , 0.839331473681 ,0}, 0.00249194181749},
-  {{0.0750505969759 , 0.701087978926 ,0}, 0.018242840119},
-  {{0.701087978926 , 0.223861424098 ,0}, 0.018242840119},
-  {{0.223861424098 , 0.0750505969759 ,0}, 0.018242840119},
-  {{0.0750505969759 , 0.223861424098 ,0}, 0.018242840119},
-  {{0.701087978926 , 0.0750505969759 ,0}, 0.018242840119},
-  {{0.223861424098 , 0.701087978926 ,0}, 0.018242840119},
-  {{0.142421601113 , 0.82293132407 ,0}, 0.0102585637362},
-  {{0.82293132407 , 0.0346470748168 ,0}, 0.0102585637362},
-  {{0.0346470748168 , 0.142421601113 ,0}, 0.0102585637362},
-  {{0.142421601113 , 0.0346470748168 ,0}, 0.0102585637362},
-  {{0.82293132407 , 0.142421601113 ,0}, 0.0102585637362},
-  {{0.0346470748168 , 0.82293132407 ,0}, 0.0102585637362},
-  {{0.0654946280829 , 0.924344252621 ,0}, 0.0037999288553},
-  {{0.924344252621 , 0.0101611192963 ,0}, 0.0037999288553},
-  {{0.0101611192963 , 0.0654946280829 ,0}, 0.0037999288553},
-  {{0.0654946280829 , 0.0101611192963 ,0}, 0.0037999288553},
-  {{0.924344252621 , 0.0654946280829 ,0}, 0.0037999288553},
-  {{0.0101611192963 , 0.924344252621 ,0}, 0.0037999288553}
+  {{0.33333333333330, 0.33333333333330, 0.}, 0.016453165694450},
+  {{0.48960998707300, 0.48960998707300, 0.}, 0.005165365945650},
+  {{0.02078002585400, 0.48960998707300, 0.}, 0.005165365945650},
+  {{0.48960998707300, 0.02078002585400, 0.}, 0.005165365945650},
+  {{0.45453689269800, 0.45453689269800, 0.}, 0.011193623631500},
+  {{0.09092621460420, 0.45453689269800, 0.}, 0.011193623631500},
+  {{0.45453689269800, 0.09092621460420, 0.}, 0.011193623631500},
+  {{0.40141668064900, 0.40141668064900, 0.}, 0.015133062934750},
+  {{0.19716663870100, 0.40141668064900, 0.}, 0.015133062934750},
+  {{0.40141668064900, 0.19716663870100, 0.}, 0.015133062934750},
+  {{0.25555165440300, 0.25555165440300, 0.}, 0.015245483901100},
+  {{0.48889669119400, 0.25555165440300, 0.}, 0.015245483901100},
+  {{0.25555165440300, 0.48889669119400, 0.}, 0.015245483901100},
+  {{0.17707794215200, 0.17707794215200, 0.}, 0.012079606370800},
+  {{0.64584411569600, 0.17707794215200, 0.}, 0.012079606370800},
+  {{0.17707794215200, 0.64584411569600, 0.}, 0.012079606370800},
+  {{0.11006105322800, 0.11006105322800, 0.}, 0.008025401793400},
+  {{0.77987789354400, 0.11006105322800, 0.}, 0.008025401793400},
+  {{0.11006105322800, 0.77987789354400, 0.}, 0.008025401793400},
+  {{0.05552862425180, 0.05552862425180, 0.}, 0.004042290130890},
+  {{0.88894275149600, 0.05552862425180, 0.}, 0.004042290130890},
+  {{0.05552862425180, 0.88894275149600, 0.}, 0.004042290130890},
+  {{0.01262186377720, 0.01262186377720, 0.}, 0.001039681013740},
+  {{0.97475627244600, 0.01262186377720, 0.}, 0.001039681013740},
+  {{0.01262186377720, 0.97475627244600, 0.}, 0.001039681013740},
+  {{0.60063379479500, 0.39575478735700, 0.}, 0.001942438452490},
+  {{0.00361141784841, 0.60063379479500, 0.}, 0.001942438452490},
+  {{0.39575478735700, 0.00361141784841, 0.}, 0.001942438452490},
+  {{0.00361141784841, 0.39575478735700, 0.}, 0.001942438452490},
+  {{0.39575478735700, 0.60063379479500, 0.}, 0.001942438452490},
+  {{0.60063379479500, 0.00361141784841, 0.}, 0.001942438452490},
+  {{0.55760326158900, 0.30792998388000, 0.}, 0.012787080306000},
+  {{0.13446675453100, 0.55760326158900, 0.}, 0.012787080306000},
+  {{0.30792998388000, 0.13446675453100, 0.}, 0.012787080306000},
+  {{0.13446675453100, 0.30792998388000, 0.}, 0.012787080306000},
+  {{0.30792998388000, 0.55760326158900, 0.}, 0.012787080306000},
+  {{0.55760326158900, 0.13446675453100, 0.}, 0.012787080306000},
+  {{0.72098702581700, 0.26456694840700, 0.}, 0.004440451786670},
+  {{0.01444602577610, 0.72098702581700, 0.}, 0.004440451786670},
+  {{0.26456694840700, 0.01444602577610, 0.}, 0.004440451786670},
+  {{0.01444602577610, 0.26456694840700, 0.}, 0.004440451786670},
+  {{0.26456694840700, 0.72098702581700, 0.}, 0.004440451786670},
+  {{0.72098702581700, 0.01444602577610, 0.}, 0.004440451786670},
+  {{0.59452706895600, 0.35853935220600, 0.}, 0.008062273380850},
+  {{0.04693357883820, 0.59452706895600, 0.}, 0.008062273380850},
+  {{0.35853935220600, 0.04693357883820, 0.}, 0.008062273380850},
+  {{0.04693357883820, 0.35853935220600, 0.}, 0.008062273380850},
+  {{0.35853935220600, 0.59452706895600, 0.}, 0.008062273380850},
+  {{0.59452706895600, 0.04693357883820, 0.}, 0.008062273380850},
+  {{0.83933147368100, 0.15780740596900, 0.}, 0.001245970908745},
+  {{0.00286112035057, 0.83933147368100, 0.}, 0.001245970908745},
+  {{0.15780740596900, 0.00286112035057, 0.}, 0.001245970908745},
+  {{0.00286112035057, 0.15780740596900, 0.}, 0.001245970908745},
+  {{0.15780740596900, 0.83933147368100, 0.}, 0.001245970908745},
+  {{0.83933147368100, 0.00286112035057, 0.}, 0.001245970908745},
+  {{0.70108797892600, 0.07505059697590, 0.}, 0.009121420059500},
+  {{0.22386142409800, 0.70108797892600, 0.}, 0.009121420059500},
+  {{0.07505059697590, 0.22386142409800, 0.}, 0.009121420059500},
+  {{0.22386142409800, 0.07505059697590, 0.}, 0.009121420059500},
+  {{0.07505059697590, 0.70108797892600, 0.}, 0.009121420059500},
+  {{0.70108797892600, 0.22386142409800, 0.}, 0.009121420059500},
+  {{0.82293132407000, 0.14242160111300, 0.}, 0.005129281868100},
+  {{0.03464707481680, 0.82293132407000, 0.}, 0.005129281868100},
+  {{0.14242160111300, 0.03464707481680, 0.}, 0.005129281868100},
+  {{0.03464707481680, 0.14242160111300, 0.}, 0.005129281868100},
+  {{0.14242160111300, 0.82293132407000, 0.}, 0.005129281868100},
+  {{0.82293132407000, 0.03464707481680, 0.}, 0.005129281868100},
+  {{0.92434425262100, 0.06549462808290, 0.}, 0.001899964427650},
+  {{0.01016111929630, 0.92434425262100, 0.}, 0.001899964427650},
+  {{0.06549462808290, 0.01016111929630, 0.}, 0.001899964427650},
+  {{0.01016111929630, 0.06549462808290, 0.}, 0.001899964427650},
+  {{0.06549462808290, 0.92434425262100, 0.}, 0.001899964427650},
+  {{0.92434425262100, 0.01016111929630, 0.}, 0.001899964427650}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
-
+// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 0.5
 
 // -----------------------------------------------------------------------------
 /*! Quadrature rule for an interpolation of order 20 on the triangle */
 /* 'Higher-order Finite Elements', P.Solin, K.Segeth and I. Dolezel */
 
 IntPt triP20Solin[79] = {
-  {{0.333333333333 , 0.333333333333 ,0}, 0.0330570555416},
-  {{0.500950464352 , 0.500950464352 ,0}, 0.000867019185663},
-  {{0.500950464352 , -0.0019009287044 ,0}, 0.000867019185663},
-  {{-0.0019009287044 , 0.500950464352 ,0}, 0.000867019185663},
-  {{0.488212957935 , 0.488212957935 ,0}, 0.0116600527164},
-  {{0.488212957935 , 0.0235740841305 ,0}, 0.0116600527164},
-  {{0.0235740841305 , 0.488212957935 ,0}, 0.0116600527164},
-  {{0.45513668695 , 0.45513668695 ,0}, 0.0228769363564},
-  {{0.45513668695 , 0.0897266360994 ,0}, 0.0228769363564},
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+  {{+0.9297561715570, +0.0105477192941, 0.}, +0.001786954692975}
 };
-
-// 0 negative weights, 0 points outside of the triangle,  total sum of the weights is 1
+// 3 negative weights, 9 points outside of the triangle,  total sum of the weights is 0.5
 
 IntPt * GQTSolin[21] = {
   triP1Solin,