diff --git a/src/geom/cell_tet14.C b/src/geom/cell_tet14.C
index 6ce9a8f4a4f..a89725a02f7 100644
--- a/src/geom/cell_tet14.C
+++ b/src/geom/cell_tet14.C
@@ -586,7 +586,7 @@ const Real Tet14::_embedding_matrix[Tet14::num_children][Tet14::num_nodes][Tet14
       {    0.,    0.,    0.,    0.,    0.,    0.,    1.,    0.,    0.,    0.,    0.,    0.,    0.,    0.}, // 2
       {    0.,    0.,    0.,    0.,    0.,    0.,    0.,    1.,    0.,    0.,    0.,    0.,    0.,    0.}, // 3
       {-.03125,.09375,   0.,-.03125,0.125,    0.,    0.,-0.125, 0.125,    0.,    0.,.84375,    0.,    0.}, // 4
-      {-.03125,.09375,   0.,-.03125,0.125,    0.,    0.,-0.125, 0.125,    0.,    0.,.84375,    0.,    0.}, // 5
+      { 1/r64, 1/r64, 1/r64, 1/r64,-0.125,-0.125,-0.125,-0.125,-0.125,-0.125,27/r64,27/r64,27/r64,27/r64}, // 5
       {.09375,-.03125,-.03125,  0., 0.125,-0.125, 0.125,    0.,    0.,    0.,.84375,    0.,    0.,    0.}, // 6
       {.09375,-.03125,   0.,-.03125,0.125,    0.,    0., 0.125,-0.125,    0.,    0.,.84375,    0.,    0.}, // 7
       {-.03125,-.03125,  0.,.09375,-0.125,    0.,    0., 0.125, 0.125,    0.,    0.,.84375,    0.,    0.}, // 8
@@ -594,7 +594,7 @@ const Real Tet14::_embedding_matrix[Tet14::num_children][Tet14::num_nodes][Tet14
       { 2/r72, 2/r72,    0.,    0.,    0.,-2/r18,-2/r18,-2/r18,-2/r18,-2/r18,   0.5,   0.5,  0.25,  0.25}, // 10
       {    0.,    0,     0.,    0.,    0.,    0.,    0.,    0.,    0.,    0.,    0.,    1.,    0.,    0.}, // 11
       { 2/r72,    0.,    0., 2/r72,-2/r18,-2/r18,-2/r18,    0.,-2/r18,-2/r18,  0.25,   0.5,  0.25,   0.5}, // 12
-      { 5/r18,    0.,-1/r18,-1/r18,    0.,    0., 4/r18, 4/r18,    0.,-2/r18,    0.,    0.,    0.,   0.5}  // 13
+      { 0.125,-1/r72,-1/r72,-1/r72,    0.,-2/r18,    0.,    0.,-2/r18,-2/r18, 0.375, 0.375, 0.125, 0.375}  // 13
     },
 
     // embedding matrix for child 5?
@@ -643,10 +643,10 @@ const Real Tet14::_embedding_matrix[Tet14::num_children][Tet14::num_nodes][Tet14
       {    0.,    0.,    0.,    0.,    0.,    0.,    0.,    0.,    0.,    1.,    0.,    0.,    0.,    0.}, // 2
       {    0.,    0.,    0.,    0.,    0.,    0.,    0.,    1.,    0.,    0.,    0.,    0.,    0.,    0.}, // 3
       { 1/r64, 1/r64, 1/r64, 1/r64,-0.125,-0.125,-0.125,-0.125,-0.125,-0.125,27/r64,27/r64,27/r64,27/r64}, // 4
-      {-.03125,-.03125,  0.,.09375,-0.125,    0.,    0., 0.125, 0.125,    0.,    0.,.84375,    0.,    0.}, // 5
-      {.09375,    0.,-.03125,-.03125,  0.,    0., 0.125, 0.125,    0.,-0.125,    0.,    0.,    0.,.84375}, // 6
-      {-.03125,    0.,.09375,-.03125,  0.,    0., 0.125,-0.125,    0., 0.125,    0.,    0.,    0.,.84375}, // 7
-      {    0.,-.03125,-.03125,.09375,  0.,-0.125,    0.,    0., 0.125, 0.125,    0.,    0.,.84375,    0.}, // 8
+      {    0.,-.03125,-.03125,.09375,  0.,-0.125,    0.,    0., 0.125, 0.125,    0.,    0.,.84375,    0.}, // 5
+      {-.03125,    0.,.09375,-.03125,  0.,    0., 0.125,-0.125,    0., 0.125,    0.,    0.,    0.,.84375}, // 6
+      {.09375,    0.,-.03125,-.03125,  0.,    0., 0.125, 0.125,    0.,-0.125,    0.,    0.,    0.,.84375}, // 7
+      {-.03125,-.03125,  0.,.09375,-0.125,    0.,    0., 0.125, 0.125,    0.,    0.,.84375,    0.,    0.}, // 8
       {-.03125,    0.,-.03125,.09375,  0.,    0.,-0.125, 0.125,    0., 0.125,    0.,    0.,    0.,.84375}, // 9
       {    0.,    0., 2/r72, 2/r72,-2/r18,-2/r18,-2/r18,-2/r18,-2/r18,    0.,  0.25,  0.25,   0.5,   0.5}, // 10
       { 2/r72,    0.,    0., 2/r72,-2/r18,-2/r18,-2/r18,    0.,-2/r18,-2/r18,  0.25,   0.5,  0.25,   0.5}, // 11
@@ -727,8 +727,8 @@ const std::vector<std::pair<unsigned char, unsigned char>>
     // Child 3
     { {{0,3}},{{1,3}},{{2,3}},   {{}},{{7,8}},{{8,9}},{{7,9}},{{3,7}},{{3,8}},{{3,9}},{{3,10}},{{3,11}},{{3,12}},{{3,13}} },
     // Child 4
-    { {{0,1}},{{1,3}},{{0,2}},{{0,3}},{{4,8}},{{4,8}},{{4,6}},{{4,7}},{{7,8}},{{6,7}},
-            {{10,11}},{{0,8},{1,7},{3,4}},  {{11,13}},       {{0,13}} },
+    { {{0,1}},{{1,3}},{{0,2}},{{0,3}},{{4,8}},{{6,8}},{{4,6}},{{4,7}},{{7,8}},{{6,7}},
+            {{10,11}},{{0,8},{1,7},{3,4}},  {{11,13}},       {{0,12}} },
     // Child 5
     { {{0,1}},{{1,2}},{{0,2}},{{1,3}},{{4,5}},{{5,6}},{{4,6}},{{4,8}},{{5,8}},{{6,8}},
   {{0,5},{1,6},{2,4}},       {{1,13}},      {{10,12}},      {{10,11}} },
@@ -736,7 +736,7 @@ const std::vector<std::pair<unsigned char, unsigned char>>
     { {{0,2}},{{1,2}},{{2,3}},{{1,3}},{{5,6}},{{5,9}},{{6,9}},{{6,8}},{{5,8}},{{8,9}},
              {{2,11}},      {{10,12}},{{1,9},{2,8},{3,5}},  {{12,13}} },
     // Child 7
-    { {{0,2}},{{1,3}},{{2,3}},{{0,3}},{{6,8}},{{7,8}},{{6,7}},{{6,9}},{{8,9}},{{7,9}},
+    { {{0,2}},{{1,3}},{{2,3}},{{0,3}},{{6,8}},{{8,9}},{{6,9}},{{6,7}},{{7,8}},{{7,9}},
             {{12,13}},      {{11,13}},       {{3,10}},{{0,9},{2,7},{3,6}} }
   };