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diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.zl
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+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.zl
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+# GRID::spher3d_r z (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 9 12 0 9.6
+0 0 0 0 0 9 12 1 9
+0 0 0 0 0 9 12 2 8.4
+0 0 0 0 0 9 12 3 7.8
+0 0 0 0 0 9 12 4 7.2
+0 0 0 0 0 9 12 5 6.6
+0 0 0 0 0 9 12 6 6
+0 0 0 0 0 9 12 7 5.4
+0 0 0 0 0 9 12 8 4.8
+0 0 0 0 0 9 12 9 4.2
+0 0 0 0 0 9 12 10 3.6
+0 0 0 0 0 9 12 11 3
+0 0 0 0 0 9 12 12 2.4
+0 0 0 0 0 9 12 13 1.8
+0 0 0 0 0 9 12 14 1.2
+0 0 0 0 0 9 12 15 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# 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 9 12 0 9.6
+1 0 0 0 0 9 12 1 9
+1 0 0 0 0 9 12 2 8.4
+1 0 0 0 0 9 12 3 7.8
+1 0 0 0 0 9 12 4 7.2
+1 0 0 0 0 9 12 5 6.6
+1 0 0 0 0 9 12 6 6
+1 0 0 0 0 9 12 7 5.4
+1 0 0 0 0 9 12 8 4.8
+1 0 0 0 0 9 12 9 4.2
+1 0 0 0 0 9 12 10 3.6
+1 0 0 0 0 9 12 11 3
+1 0 0 0 0 9 12 12 2.4
+1 0 0 0 0 9 12 13 1.8
+1 0 0 0 0 9 12 14 1.2
+1 0 0 0 0 9 12 15 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# 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 9 12 0 9.6
+2 0 0 0 0 9 12 1 9
+2 0 0 0 0 9 12 2 8.4
+2 0 0 0 0 9 12 3 7.8
+2 0 0 0 0 9 12 4 7.2
+2 0 0 0 0 9 12 5 6.6
+2 0 0 0 0 9 12 6 6
+2 0 0 0 0 9 12 7 5.4
+2 0 0 0 0 9 12 8 4.8
+2 0 0 0 0 9 12 9 4.2
+2 0 0 0 0 9 12 10 3.6
+2 0 0 0 0 9 12 11 3
+2 0 0 0 0 9 12 12 2.4
+2 0 0 0 0 9 12 13 1.8
+2 0 0 0 0 9 12 14 1.2
+2 0 0 0 0 9 12 15 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# 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 9 12 0 9.6
+3 0 0 0 0 9 12 1 9
+3 0 0 0 0 9 12 2 8.4
+3 0 0 0 0 9 12 3 7.8
+3 0 0 0 0 9 12 4 7.2
+3 0 0 0 0 9 12 5 6.6
+3 0 0 0 0 9 12 6 6
+3 0 0 0 0 9 12 7 5.4
+3 0 0 0 0 9 12 8 4.8
+3 0 0 0 0 9 12 9 4.2
+3 0 0 0 0 9 12 10 3.6
+3 0 0 0 0 9 12 11 3
+3 0 0 0 0 9 12 12 2.4
+3 0 0 0 0 9 12 13 1.8
+3 0 0 0 0 9 12 14 1.2
+3 0 0 0 0 9 12 15 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# 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 9 12 0 9.6
+4 0 0 0 0 9 12 1 9
+4 0 0 0 0 9 12 2 8.4
+4 0 0 0 0 9 12 3 7.8
+4 0 0 0 0 9 12 4 7.2
+4 0 0 0 0 9 12 5 6.6
+4 0 0 0 0 9 12 6 6
+4 0 0 0 0 9 12 7 5.4
+4 0 0 0 0 9 12 8 4.8
+4 0 0 0 0 9 12 9 4.2
+4 0 0 0 0 9 12 10 3.6
+4 0 0 0 0 9 12 11 3
+4 0 0 0 0 9 12 12 2.4
+4 0 0 0 0 9 12 13 1.8
+4 0 0 0 0 9 12 14 1.2
+4 0 0 0 0 9 12 15 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# 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 9 12 0 9.6
+5 0 0 0 0 9 12 1 9
+5 0 0 0 0 9 12 2 8.4
+5 0 0 0 0 9 12 3 7.8
+5 0 0 0 0 9 12 4 7.2
+5 0 0 0 0 9 12 5 6.6
+5 0 0 0 0 9 12 6 6
+5 0 0 0 0 9 12 7 5.4
+5 0 0 0 0 9 12 8 4.8
+5 0 0 0 0 9 12 9 4.2
+5 0 0 0 0 9 12 10 3.6
+5 0 0 0 0 9 12 11 3
+5 0 0 0 0 9 12 12 2.4
+5 0 0 0 0 9 12 13 1.8
+5 0 0 0 0 9 12 14 1.2
+5 0 0 0 0 9 12 15 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# 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 9 12 0 9.6
+6 0 0 0 0 9 12 1 9
+6 0 0 0 0 9 12 2 8.4
+6 0 0 0 0 9 12 3 7.8
+6 0 0 0 0 9 12 4 7.2
+6 0 0 0 0 9 12 5 6.6
+6 0 0 0 0 9 12 6 6
+6 0 0 0 0 9 12 7 5.4
+6 0 0 0 0 9 12 8 4.8
+6 0 0 0 0 9 12 9 4.2
+6 0 0 0 0 9 12 10 3.6
+6 0 0 0 0 9 12 11 3
+6 0 0 0 0 9 12 12 2.4
+6 0 0 0 0 9 12 13 1.8
+6 0 0 0 0 9 12 14 1.2
+6 0 0 0 0 9 12 15 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+