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diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl
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+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 5.4
+0 0 0 0 0 1 12 16 4.8
+0 0 0 0 0 2 12 16 4.2
+0 0 0 0 0 3 12 16 3.6
+0 0 0 0 0 4 12 16 3
+0 0 0 0 0 5 12 16 2.4
+0 0 0 0 0 6 12 16 1.8
+0 0 0 0 0 7 12 16 1.2
+0 0 0 0 0 8 12 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 5.4
+1 0 0 0 0 1 12 16 4.8
+1 0 0 0 0 2 12 16 4.2
+1 0 0 0 0 3 12 16 3.6
+1 0 0 0 0 4 12 16 3
+1 0 0 0 0 5 12 16 2.4
+1 0 0 0 0 6 12 16 1.8
+1 0 0 0 0 7 12 16 1.2
+1 0 0 0 0 8 12 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 5.4
+2 0 0 0 0 1 12 16 4.8
+2 0 0 0 0 2 12 16 4.2
+2 0 0 0 0 3 12 16 3.6
+2 0 0 0 0 4 12 16 3
+2 0 0 0 0 5 12 16 2.4
+2 0 0 0 0 6 12 16 1.8
+2 0 0 0 0 7 12 16 1.2
+2 0 0 0 0 8 12 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 5.4
+3 0 0 0 0 1 12 16 4.8
+3 0 0 0 0 2 12 16 4.2
+3 0 0 0 0 3 12 16 3.6
+3 0 0 0 0 4 12 16 3
+3 0 0 0 0 5 12 16 2.4
+3 0 0 0 0 6 12 16 1.8
+3 0 0 0 0 7 12 16 1.2
+3 0 0 0 0 8 12 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 5.4
+4 0 0 0 0 1 12 16 4.8
+4 0 0 0 0 2 12 16 4.2
+4 0 0 0 0 3 12 16 3.6
+4 0 0 0 0 4 12 16 3
+4 0 0 0 0 5 12 16 2.4
+4 0 0 0 0 6 12 16 1.8
+4 0 0 0 0 7 12 16 1.2
+4 0 0 0 0 8 12 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 5.4
+5 0 0 0 0 1 12 16 4.8
+5 0 0 0 0 2 12 16 4.2
+5 0 0 0 0 3 12 16 3.6
+5 0 0 0 0 4 12 16 3
+5 0 0 0 0 5 12 16 2.4
+5 0 0 0 0 6 12 16 1.8
+5 0 0 0 0 7 12 16 1.2
+5 0 0 0 0 8 12 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 5.4
+6 0 0 0 0 1 12 16 4.8
+6 0 0 0 0 2 12 16 4.2
+6 0 0 0 0 3 12 16 3.6
+6 0 0 0 0 4 12 16 3
+6 0 0 0 0 5 12 16 2.4
+6 0 0 0 0 6 12 16 1.8
+6 0 0 0 0 7 12 16 1.2
+6 0 0 0 0 8 12 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+