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authoreschnett <>2001-03-01 11:40:00 +0000
committereschnett <>2001-03-01 11:40:00 +0000
commit310f0ea48d18866b773136aed11200b6eda6378b (patch)
tree445d3e34ce8b89812994b6614f7bc9f4acbc7fe2 /CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2
Initial revision
darcs-hash:20010301114010-f6438-12fb8a9ffcc80e86c0a97e37b5b0dae0dbc59b79.gz
Diffstat (limited to 'CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2')
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl482
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl622
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl782
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl482
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl622
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl782
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl482
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl622
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl782
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl482
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl622
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl782
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl482
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl622
-rw-r--r--CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl782
15 files changed, 9430 insertions, 0 deletions
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl
new file mode 100644
index 000000000..11061d80c
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -2.7
+0 0 1 0 0 10 24 32 -2.4
+0 0 1 0 0 11 24 32 -2.1
+0 0 1 0 0 12 24 32 -1.8
+0 0 1 0 0 13 24 32 -1.5
+0 0 1 0 0 14 24 32 -1.2
+0 0 1 0 0 15 24 32 -0.9
+0 0 1 0 0 16 24 32 -0.6
+0 0 1 0 0 17 24 32 -0.3
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 -5.4
+0 0 0 0 0 2 24 32 -4.8
+0 0 0 0 0 4 24 32 -4.2
+0 0 0 0 0 6 24 32 -3.6
+0 0 0 0 0 8 24 32 -3
+0 0 0 0 0 10 24 32 -2.4
+0 0 0 0 0 12 24 32 -1.8
+0 0 0 0 0 14 24 32 -1.2
+0 0 0 0 0 16 24 32 -0.6
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -2.7
+1 0 1 0 0 10 24 32 -2.4
+1 0 1 0 0 11 24 32 -2.1
+1 0 1 0 0 12 24 32 -1.8
+1 0 1 0 0 13 24 32 -1.5
+1 0 1 0 0 14 24 32 -1.2
+1 0 1 0 0 15 24 32 -0.9
+1 0 1 0 0 16 24 32 -0.6
+1 0 1 0 0 17 24 32 -0.3
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -2.7
+2 0 1 0 0 10 24 32 -2.4
+2 0 1 0 0 11 24 32 -2.1
+2 0 1 0 0 12 24 32 -1.8
+2 0 1 0 0 13 24 32 -1.5
+2 0 1 0 0 14 24 32 -1.2
+2 0 1 0 0 15 24 32 -0.9
+2 0 1 0 0 16 24 32 -0.6
+2 0 1 0 0 17 24 32 -0.3
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 -5.4
+2 0 0 0 0 2 24 32 -4.8
+2 0 0 0 0 4 24 32 -4.2
+2 0 0 0 0 6 24 32 -3.6
+2 0 0 0 0 8 24 32 -3
+2 0 0 0 0 10 24 32 -2.4
+2 0 0 0 0 12 24 32 -1.8
+2 0 0 0 0 14 24 32 -1.2
+2 0 0 0 0 16 24 32 -0.6
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -2.7
+3 0 1 0 0 10 24 32 -2.4
+3 0 1 0 0 11 24 32 -2.1
+3 0 1 0 0 12 24 32 -1.8
+3 0 1 0 0 13 24 32 -1.5
+3 0 1 0 0 14 24 32 -1.2
+3 0 1 0 0 15 24 32 -0.9
+3 0 1 0 0 16 24 32 -0.6
+3 0 1 0 0 17 24 32 -0.3
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -2.7
+4 0 1 0 0 10 24 32 -2.4
+4 0 1 0 0 11 24 32 -2.1
+4 0 1 0 0 12 24 32 -1.8
+4 0 1 0 0 13 24 32 -1.5
+4 0 1 0 0 14 24 32 -1.2
+4 0 1 0 0 15 24 32 -0.9
+4 0 1 0 0 16 24 32 -0.6
+4 0 1 0 0 17 24 32 -0.3
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 -5.4
+4 0 0 0 0 2 24 32 -4.8
+4 0 0 0 0 4 24 32 -4.2
+4 0 0 0 0 6 24 32 -3.6
+4 0 0 0 0 8 24 32 -3
+4 0 0 0 0 10 24 32 -2.4
+4 0 0 0 0 12 24 32 -1.8
+4 0 0 0 0 14 24 32 -1.2
+4 0 0 0 0 16 24 32 -0.6
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -2.7
+5 0 1 0 0 10 24 32 -2.4
+5 0 1 0 0 11 24 32 -2.1
+5 0 1 0 0 12 24 32 -1.8
+5 0 1 0 0 13 24 32 -1.5
+5 0 1 0 0 14 24 32 -1.2
+5 0 1 0 0 15 24 32 -0.9
+5 0 1 0 0 16 24 32 -0.6
+5 0 1 0 0 17 24 32 -0.3
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -2.7
+6 0 1 0 0 10 24 32 -2.4
+6 0 1 0 0 11 24 32 -2.1
+6 0 1 0 0 12 24 32 -1.8
+6 0 1 0 0 13 24 32 -1.5
+6 0 1 0 0 14 24 32 -1.2
+6 0 1 0 0 15 24 32 -0.9
+6 0 1 0 0 16 24 32 -0.6
+6 0 1 0 0 17 24 32 -0.3
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 -5.4
+6 0 0 0 0 2 24 32 -4.8
+6 0 0 0 0 4 24 32 -4.2
+6 0 0 0 0 6 24 32 -3.6
+6 0 0 0 0 8 24 32 -3
+6 0 0 0 0 10 24 32 -2.4
+6 0 0 0 0 12 24 32 -1.8
+6 0 0 0 0 14 24 32 -1.2
+6 0 0 0 0 16 24 32 -0.6
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -2.7
+7 0 1 0 0 10 24 32 -2.4
+7 0 1 0 0 11 24 32 -2.1
+7 0 1 0 0 12 24 32 -1.8
+7 0 1 0 0 13 24 32 -1.5
+7 0 1 0 0 14 24 32 -1.2
+7 0 1 0 0 15 24 32 -0.9
+7 0 1 0 0 16 24 32 -0.6
+7 0 1 0 0 17 24 32 -0.3
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -2.7
+8 0 1 0 0 10 24 32 -2.4
+8 0 1 0 0 11 24 32 -2.1
+8 0 1 0 0 12 24 32 -1.8
+8 0 1 0 0 13 24 32 -1.5
+8 0 1 0 0 14 24 32 -1.2
+8 0 1 0 0 15 24 32 -0.9
+8 0 1 0 0 16 24 32 -0.6
+8 0 1 0 0 17 24 32 -0.3
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -5.4
+8 0 0 0 0 2 24 32 -4.8
+8 0 0 0 0 4 24 32 -4.2
+8 0 0 0 0 6 24 32 -3.6
+8 0 0 0 0 8 24 32 -3
+8 0 0 0 0 10 24 32 -2.4
+8 0 0 0 0 12 24 32 -1.8
+8 0 0 0 0 14 24 32 -1.2
+8 0 0 0 0 16 24 32 -0.6
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -2.7
+9 0 1 0 0 10 24 32 -2.4
+9 0 1 0 0 11 24 32 -2.1
+9 0 1 0 0 12 24 32 -1.8
+9 0 1 0 0 13 24 32 -1.5
+9 0 1 0 0 14 24 32 -1.2
+9 0 1 0 0 15 24 32 -0.9
+9 0 1 0 0 16 24 32 -0.6
+9 0 1 0 0 17 24 32 -0.3
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -2.7
+10 0 1 0 0 10 24 32 -2.4
+10 0 1 0 0 11 24 32 -2.1
+10 0 1 0 0 12 24 32 -1.8
+10 0 1 0 0 13 24 32 -1.5
+10 0 1 0 0 14 24 32 -1.2
+10 0 1 0 0 15 24 32 -0.9
+10 0 1 0 0 16 24 32 -0.6
+10 0 1 0 0 17 24 32 -0.3
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -5.4
+10 0 0 0 0 2 24 32 -4.8
+10 0 0 0 0 4 24 32 -4.2
+10 0 0 0 0 6 24 32 -3.6
+10 0 0 0 0 8 24 32 -3
+10 0 0 0 0 10 24 32 -2.4
+10 0 0 0 0 12 24 32 -1.8
+10 0 0 0 0 14 24 32 -1.2
+10 0 0 0 0 16 24 32 -0.6
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -2.7
+11 0 1 0 0 10 24 32 -2.4
+11 0 1 0 0 11 24 32 -2.1
+11 0 1 0 0 12 24 32 -1.8
+11 0 1 0 0 13 24 32 -1.5
+11 0 1 0 0 14 24 32 -1.2
+11 0 1 0 0 15 24 32 -0.9
+11 0 1 0 0 16 24 32 -0.6
+11 0 1 0 0 17 24 32 -0.3
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -2.7
+12 0 1 0 0 10 24 32 -2.4
+12 0 1 0 0 11 24 32 -2.1
+12 0 1 0 0 12 24 32 -1.8
+12 0 1 0 0 13 24 32 -1.5
+12 0 1 0 0 14 24 32 -1.2
+12 0 1 0 0 15 24 32 -0.9
+12 0 1 0 0 16 24 32 -0.6
+12 0 1 0 0 17 24 32 -0.3
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -5.4
+12 0 0 0 0 2 24 32 -4.8
+12 0 0 0 0 4 24 32 -4.2
+12 0 0 0 0 6 24 32 -3.6
+12 0 0 0 0 8 24 32 -3
+12 0 0 0 0 10 24 32 -2.4
+12 0 0 0 0 12 24 32 -1.8
+12 0 0 0 0 14 24 32 -1.2
+12 0 0 0 0 16 24 32 -0.6
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl
new file mode 100644
index 000000000..44fc64068
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 4.44089209850063e-16
+0 0 1 0 0 18 14 32 4.44089209850063e-16
+0 0 1 0 0 18 15 32 4.44089209850063e-16
+0 0 1 0 0 18 16 32 4.44089209850063e-16
+0 0 1 0 0 18 17 32 4.44089209850063e-16
+0 0 1 0 0 18 18 32 4.44089209850063e-16
+0 0 1 0 0 18 19 32 4.44089209850063e-16
+0 0 1 0 0 18 20 32 4.44089209850063e-16
+0 0 1 0 0 18 21 32 4.44089209850063e-16
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+
+
+# 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 18 0 32 4.44089209850063e-16
+0 0 0 0 0 18 2 32 4.44089209850063e-16
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+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 4.44089209850063e-16
+1 0 1 0 0 18 14 32 4.44089209850063e-16
+1 0 1 0 0 18 15 32 4.44089209850063e-16
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+1 0 1 0 0 18 37 32 4.44089209850063e-16
+1 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 4.44089209850063e-16
+2 0 1 0 0 18 14 32 4.44089209850063e-16
+2 0 1 0 0 18 15 32 4.44089209850063e-16
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+2 0 1 0 0 18 37 32 4.44089209850063e-16
+2 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# 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 18 0 32 4.44089209850063e-16
+2 0 0 0 0 18 2 32 4.44089209850063e-16
+2 0 0 0 0 18 4 32 4.44089209850063e-16
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+2 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 4.44089209850063e-16
+3 0 1 0 0 18 14 32 4.44089209850063e-16
+3 0 1 0 0 18 15 32 4.44089209850063e-16
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+3 0 1 0 0 18 37 32 4.44089209850063e-16
+3 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 4.44089209850063e-16
+4 0 1 0 0 18 14 32 4.44089209850063e-16
+4 0 1 0 0 18 15 32 4.44089209850063e-16
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+4 0 1 0 0 18 37 32 4.44089209850063e-16
+4 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# 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 18 0 32 4.44089209850063e-16
+4 0 0 0 0 18 2 32 4.44089209850063e-16
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 4.44089209850063e-16
+5 0 1 0 0 18 14 32 4.44089209850063e-16
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+5 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 4.44089209850063e-16
+6 0 1 0 0 18 14 32 4.44089209850063e-16
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+6 0 1 0 0 18 37 32 4.44089209850063e-16
+6 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# 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 18 0 32 4.44089209850063e-16
+6 0 0 0 0 18 2 32 4.44089209850063e-16
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+6 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 4.44089209850063e-16
+7 0 1 0 0 18 14 32 4.44089209850063e-16
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+7 0 1 0 0 18 37 32 4.44089209850063e-16
+7 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 4.44089209850063e-16
+8 0 1 0 0 18 14 32 4.44089209850063e-16
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+8 0 1 0 0 18 37 32 4.44089209850063e-16
+8 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 4.44089209850063e-16
+8 0 0 0 0 18 2 32 4.44089209850063e-16
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+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 18 26 32 4.44089209850063e-16
+8 0 0 0 0 18 28 32 4.44089209850063e-16
+8 0 0 0 0 18 30 32 4.44089209850063e-16
+8 0 0 0 0 18 32 32 4.44089209850063e-16
+8 0 0 0 0 18 34 32 4.44089209850063e-16
+8 0 0 0 0 18 36 32 4.44089209850063e-16
+8 0 0 0 0 18 38 32 4.44089209850063e-16
+8 0 0 0 0 18 40 32 4.44089209850063e-16
+8 0 0 0 0 18 42 32 4.44089209850063e-16
+8 0 0 0 0 18 44 32 4.44089209850063e-16
+8 0 0 0 0 18 46 32 4.44089209850063e-16
+8 0 0 0 0 18 48 32 4.44089209850063e-16
+8 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 4.44089209850063e-16
+9 0 1 0 0 18 14 32 4.44089209850063e-16
+9 0 1 0 0 18 15 32 4.44089209850063e-16
+9 0 1 0 0 18 16 32 4.44089209850063e-16
+9 0 1 0 0 18 17 32 4.44089209850063e-16
+9 0 1 0 0 18 18 32 4.44089209850063e-16
+9 0 1 0 0 18 19 32 4.44089209850063e-16
+9 0 1 0 0 18 20 32 4.44089209850063e-16
+9 0 1 0 0 18 21 32 4.44089209850063e-16
+9 0 1 0 0 18 22 32 4.44089209850063e-16
+9 0 1 0 0 18 23 32 4.44089209850063e-16
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 18 25 32 4.44089209850063e-16
+9 0 1 0 0 18 26 32 4.44089209850063e-16
+9 0 1 0 0 18 27 32 4.44089209850063e-16
+9 0 1 0 0 18 28 32 4.44089209850063e-16
+9 0 1 0 0 18 29 32 4.44089209850063e-16
+9 0 1 0 0 18 30 32 4.44089209850063e-16
+9 0 1 0 0 18 31 32 4.44089209850063e-16
+9 0 1 0 0 18 32 32 4.44089209850063e-16
+9 0 1 0 0 18 33 32 4.44089209850063e-16
+9 0 1 0 0 18 34 32 4.44089209850063e-16
+9 0 1 0 0 18 35 32 4.44089209850063e-16
+9 0 1 0 0 18 36 32 4.44089209850063e-16
+9 0 1 0 0 18 37 32 4.44089209850063e-16
+9 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 4.44089209850063e-16
+10 0 1 0 0 18 14 32 4.44089209850063e-16
+10 0 1 0 0 18 15 32 4.44089209850063e-16
+10 0 1 0 0 18 16 32 4.44089209850063e-16
+10 0 1 0 0 18 17 32 4.44089209850063e-16
+10 0 1 0 0 18 18 32 4.44089209850063e-16
+10 0 1 0 0 18 19 32 4.44089209850063e-16
+10 0 1 0 0 18 20 32 4.44089209850063e-16
+10 0 1 0 0 18 21 32 4.44089209850063e-16
+10 0 1 0 0 18 22 32 4.44089209850063e-16
+10 0 1 0 0 18 23 32 4.44089209850063e-16
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 18 25 32 4.44089209850063e-16
+10 0 1 0 0 18 26 32 4.44089209850063e-16
+10 0 1 0 0 18 27 32 4.44089209850063e-16
+10 0 1 0 0 18 28 32 4.44089209850063e-16
+10 0 1 0 0 18 29 32 4.44089209850063e-16
+10 0 1 0 0 18 30 32 4.44089209850063e-16
+10 0 1 0 0 18 31 32 4.44089209850063e-16
+10 0 1 0 0 18 32 32 4.44089209850063e-16
+10 0 1 0 0 18 33 32 4.44089209850063e-16
+10 0 1 0 0 18 34 32 4.44089209850063e-16
+10 0 1 0 0 18 35 32 4.44089209850063e-16
+10 0 1 0 0 18 36 32 4.44089209850063e-16
+10 0 1 0 0 18 37 32 4.44089209850063e-16
+10 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 4.44089209850063e-16
+10 0 0 0 0 18 2 32 4.44089209850063e-16
+10 0 0 0 0 18 4 32 4.44089209850063e-16
+10 0 0 0 0 18 6 32 4.44089209850063e-16
+10 0 0 0 0 18 8 32 4.44089209850063e-16
+10 0 0 0 0 18 10 32 4.44089209850063e-16
+10 0 0 0 0 18 12 32 4.44089209850063e-16
+10 0 0 0 0 18 14 32 4.44089209850063e-16
+10 0 0 0 0 18 16 32 4.44089209850063e-16
+10 0 0 0 0 18 18 32 4.44089209850063e-16
+10 0 0 0 0 18 20 32 4.44089209850063e-16
+10 0 0 0 0 18 22 32 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 26 32 4.44089209850063e-16
+10 0 0 0 0 18 28 32 4.44089209850063e-16
+10 0 0 0 0 18 30 32 4.44089209850063e-16
+10 0 0 0 0 18 32 32 4.44089209850063e-16
+10 0 0 0 0 18 34 32 4.44089209850063e-16
+10 0 0 0 0 18 36 32 4.44089209850063e-16
+10 0 0 0 0 18 38 32 4.44089209850063e-16
+10 0 0 0 0 18 40 32 4.44089209850063e-16
+10 0 0 0 0 18 42 32 4.44089209850063e-16
+10 0 0 0 0 18 44 32 4.44089209850063e-16
+10 0 0 0 0 18 46 32 4.44089209850063e-16
+10 0 0 0 0 18 48 32 4.44089209850063e-16
+10 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 4.44089209850063e-16
+11 0 1 0 0 18 14 32 4.44089209850063e-16
+11 0 1 0 0 18 15 32 4.44089209850063e-16
+11 0 1 0 0 18 16 32 4.44089209850063e-16
+11 0 1 0 0 18 17 32 4.44089209850063e-16
+11 0 1 0 0 18 18 32 4.44089209850063e-16
+11 0 1 0 0 18 19 32 4.44089209850063e-16
+11 0 1 0 0 18 20 32 4.44089209850063e-16
+11 0 1 0 0 18 21 32 4.44089209850063e-16
+11 0 1 0 0 18 22 32 4.44089209850063e-16
+11 0 1 0 0 18 23 32 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 25 32 4.44089209850063e-16
+11 0 1 0 0 18 26 32 4.44089209850063e-16
+11 0 1 0 0 18 27 32 4.44089209850063e-16
+11 0 1 0 0 18 28 32 4.44089209850063e-16
+11 0 1 0 0 18 29 32 4.44089209850063e-16
+11 0 1 0 0 18 30 32 4.44089209850063e-16
+11 0 1 0 0 18 31 32 4.44089209850063e-16
+11 0 1 0 0 18 32 32 4.44089209850063e-16
+11 0 1 0 0 18 33 32 4.44089209850063e-16
+11 0 1 0 0 18 34 32 4.44089209850063e-16
+11 0 1 0 0 18 35 32 4.44089209850063e-16
+11 0 1 0 0 18 36 32 4.44089209850063e-16
+11 0 1 0 0 18 37 32 4.44089209850063e-16
+11 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 4.44089209850063e-16
+12 0 1 0 0 18 14 32 4.44089209850063e-16
+12 0 1 0 0 18 15 32 4.44089209850063e-16
+12 0 1 0 0 18 16 32 4.44089209850063e-16
+12 0 1 0 0 18 17 32 4.44089209850063e-16
+12 0 1 0 0 18 18 32 4.44089209850063e-16
+12 0 1 0 0 18 19 32 4.44089209850063e-16
+12 0 1 0 0 18 20 32 4.44089209850063e-16
+12 0 1 0 0 18 21 32 4.44089209850063e-16
+12 0 1 0 0 18 22 32 4.44089209850063e-16
+12 0 1 0 0 18 23 32 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 25 32 4.44089209850063e-16
+12 0 1 0 0 18 26 32 4.44089209850063e-16
+12 0 1 0 0 18 27 32 4.44089209850063e-16
+12 0 1 0 0 18 28 32 4.44089209850063e-16
+12 0 1 0 0 18 29 32 4.44089209850063e-16
+12 0 1 0 0 18 30 32 4.44089209850063e-16
+12 0 1 0 0 18 31 32 4.44089209850063e-16
+12 0 1 0 0 18 32 32 4.44089209850063e-16
+12 0 1 0 0 18 33 32 4.44089209850063e-16
+12 0 1 0 0 18 34 32 4.44089209850063e-16
+12 0 1 0 0 18 35 32 4.44089209850063e-16
+12 0 1 0 0 18 36 32 4.44089209850063e-16
+12 0 1 0 0 18 37 32 4.44089209850063e-16
+12 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 4.44089209850063e-16
+12 0 0 0 0 18 2 32 4.44089209850063e-16
+12 0 0 0 0 18 4 32 4.44089209850063e-16
+12 0 0 0 0 18 6 32 4.44089209850063e-16
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+12 0 0 0 0 18 10 32 4.44089209850063e-16
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+12 0 0 0 0 18 14 32 4.44089209850063e-16
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+12 0 0 0 0 18 20 32 4.44089209850063e-16
+12 0 0 0 0 18 22 32 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 26 32 4.44089209850063e-16
+12 0 0 0 0 18 28 32 4.44089209850063e-16
+12 0 0 0 0 18 30 32 4.44089209850063e-16
+12 0 0 0 0 18 32 32 4.44089209850063e-16
+12 0 0 0 0 18 34 32 4.44089209850063e-16
+12 0 0 0 0 18 36 32 4.44089209850063e-16
+12 0 0 0 0 18 38 32 4.44089209850063e-16
+12 0 0 0 0 18 40 32 4.44089209850063e-16
+12 0 0 0 0 18 42 32 4.44089209850063e-16
+12 0 0 0 0 18 44 32 4.44089209850063e-16
+12 0 0 0 0 18 46 32 4.44089209850063e-16
+12 0 0 0 0 18 48 32 4.44089209850063e-16
+12 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl
new file mode 100644
index 000000000..2a73fe1f2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.44089209850063e-16
+0 0 1 0 0 18 24 18 4.44089209850063e-16
+0 0 1 0 0 18 24 19 4.44089209850063e-16
+0 0 1 0 0 18 24 20 4.44089209850063e-16
+0 0 1 0 0 18 24 21 4.44089209850063e-16
+0 0 1 0 0 18 24 22 4.44089209850063e-16
+0 0 1 0 0 18 24 23 4.44089209850063e-16
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+0 0 1 0 0 18 24 26 4.44089209850063e-16
+0 0 1 0 0 18 24 27 4.44089209850063e-16
+0 0 1 0 0 18 24 28 4.44089209850063e-16
+0 0 1 0 0 18 24 29 4.44089209850063e-16
+0 0 1 0 0 18 24 30 4.44089209850063e-16
+0 0 1 0 0 18 24 31 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 24 33 4.44089209850063e-16
+0 0 1 0 0 18 24 34 4.44089209850063e-16
+0 0 1 0 0 18 24 35 4.44089209850063e-16
+0 0 1 0 0 18 24 36 4.44089209850063e-16
+0 0 1 0 0 18 24 37 4.44089209850063e-16
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+0 0 1 0 0 18 24 40 4.44089209850063e-16
+0 0 1 0 0 18 24 41 4.44089209850063e-16
+0 0 1 0 0 18 24 42 4.44089209850063e-16
+0 0 1 0 0 18 24 43 4.44089209850063e-16
+0 0 1 0 0 18 24 44 4.44089209850063e-16
+0 0 1 0 0 18 24 45 4.44089209850063e-16
+0 0 1 0 0 18 24 46 4.44089209850063e-16
+0 0 1 0 0 18 24 47 4.44089209850063e-16
+0 0 1 0 0 18 24 48 4.44089209850063e-16
+0 0 1 0 0 18 24 49 4.44089209850063e-16
+0 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# 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 18 24 0 4.44089209850063e-16
+0 0 0 0 0 18 24 2 4.44089209850063e-16
+0 0 0 0 0 18 24 4 4.44089209850063e-16
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+0 0 0 0 0 18 24 30 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 24 34 4.44089209850063e-16
+0 0 0 0 0 18 24 36 4.44089209850063e-16
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+0 0 0 0 0 18 24 40 4.44089209850063e-16
+0 0 0 0 0 18 24 42 4.44089209850063e-16
+0 0 0 0 0 18 24 44 4.44089209850063e-16
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+0 0 0 0 0 18 24 48 4.44089209850063e-16
+0 0 0 0 0 18 24 50 4.44089209850063e-16
+0 0 0 0 0 18 24 52 4.44089209850063e-16
+0 0 0 0 0 18 24 54 4.44089209850063e-16
+0 0 0 0 0 18 24 56 4.44089209850063e-16
+0 0 0 0 0 18 24 58 4.44089209850063e-16
+0 0 0 0 0 18 24 60 4.44089209850063e-16
+0 0 0 0 0 18 24 62 4.44089209850063e-16
+0 0 0 0 0 18 24 64 4.44089209850063e-16
+0 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.44089209850063e-16
+1 0 1 0 0 18 24 18 4.44089209850063e-16
+1 0 1 0 0 18 24 19 4.44089209850063e-16
+1 0 1 0 0 18 24 20 4.44089209850063e-16
+1 0 1 0 0 18 24 21 4.44089209850063e-16
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+1 0 1 0 0 18 24 24 4.44089209850063e-16
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+1 0 1 0 0 18 24 26 4.44089209850063e-16
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+1 0 1 0 0 18 24 29 4.44089209850063e-16
+1 0 1 0 0 18 24 30 4.44089209850063e-16
+1 0 1 0 0 18 24 31 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 24 33 4.44089209850063e-16
+1 0 1 0 0 18 24 34 4.44089209850063e-16
+1 0 1 0 0 18 24 35 4.44089209850063e-16
+1 0 1 0 0 18 24 36 4.44089209850063e-16
+1 0 1 0 0 18 24 37 4.44089209850063e-16
+1 0 1 0 0 18 24 38 4.44089209850063e-16
+1 0 1 0 0 18 24 39 4.44089209850063e-16
+1 0 1 0 0 18 24 40 4.44089209850063e-16
+1 0 1 0 0 18 24 41 4.44089209850063e-16
+1 0 1 0 0 18 24 42 4.44089209850063e-16
+1 0 1 0 0 18 24 43 4.44089209850063e-16
+1 0 1 0 0 18 24 44 4.44089209850063e-16
+1 0 1 0 0 18 24 45 4.44089209850063e-16
+1 0 1 0 0 18 24 46 4.44089209850063e-16
+1 0 1 0 0 18 24 47 4.44089209850063e-16
+1 0 1 0 0 18 24 48 4.44089209850063e-16
+1 0 1 0 0 18 24 49 4.44089209850063e-16
+1 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.44089209850063e-16
+2 0 1 0 0 18 24 18 4.44089209850063e-16
+2 0 1 0 0 18 24 19 4.44089209850063e-16
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+2 0 1 0 0 18 24 21 4.44089209850063e-16
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+2 0 1 0 0 18 24 23 4.44089209850063e-16
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+2 0 1 0 0 18 24 26 4.44089209850063e-16
+2 0 1 0 0 18 24 27 4.44089209850063e-16
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+2 0 1 0 0 18 24 31 4.44089209850063e-16
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+2 0 1 0 0 18 24 33 4.44089209850063e-16
+2 0 1 0 0 18 24 34 4.44089209850063e-16
+2 0 1 0 0 18 24 35 4.44089209850063e-16
+2 0 1 0 0 18 24 36 4.44089209850063e-16
+2 0 1 0 0 18 24 37 4.44089209850063e-16
+2 0 1 0 0 18 24 38 4.44089209850063e-16
+2 0 1 0 0 18 24 39 4.44089209850063e-16
+2 0 1 0 0 18 24 40 4.44089209850063e-16
+2 0 1 0 0 18 24 41 4.44089209850063e-16
+2 0 1 0 0 18 24 42 4.44089209850063e-16
+2 0 1 0 0 18 24 43 4.44089209850063e-16
+2 0 1 0 0 18 24 44 4.44089209850063e-16
+2 0 1 0 0 18 24 45 4.44089209850063e-16
+2 0 1 0 0 18 24 46 4.44089209850063e-16
+2 0 1 0 0 18 24 47 4.44089209850063e-16
+2 0 1 0 0 18 24 48 4.44089209850063e-16
+2 0 1 0 0 18 24 49 4.44089209850063e-16
+2 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# 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 18 24 0 4.44089209850063e-16
+2 0 0 0 0 18 24 2 4.44089209850063e-16
+2 0 0 0 0 18 24 4 4.44089209850063e-16
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+2 0 0 0 0 18 24 56 4.44089209850063e-16
+2 0 0 0 0 18 24 58 4.44089209850063e-16
+2 0 0 0 0 18 24 60 4.44089209850063e-16
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+2 0 0 0 0 18 24 64 4.44089209850063e-16
+2 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.44089209850063e-16
+3 0 1 0 0 18 24 18 4.44089209850063e-16
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+3 0 1 0 0 18 24 49 4.44089209850063e-16
+3 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.44089209850063e-16
+4 0 1 0 0 18 24 18 4.44089209850063e-16
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+4 0 1 0 0 18 24 49 4.44089209850063e-16
+4 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# 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 18 24 0 4.44089209850063e-16
+4 0 0 0 0 18 24 2 4.44089209850063e-16
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+4 0 0 0 0 18 24 64 4.44089209850063e-16
+4 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.44089209850063e-16
+5 0 1 0 0 18 24 18 4.44089209850063e-16
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+5 0 1 0 0 18 24 49 4.44089209850063e-16
+5 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.44089209850063e-16
+6 0 1 0 0 18 24 18 4.44089209850063e-16
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+6 0 1 0 0 18 24 49 4.44089209850063e-16
+6 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# 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 18 24 0 4.44089209850063e-16
+6 0 0 0 0 18 24 2 4.44089209850063e-16
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+6 0 0 0 0 18 24 64 4.44089209850063e-16
+6 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.44089209850063e-16
+7 0 1 0 0 18 24 18 4.44089209850063e-16
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+7 0 1 0 0 18 24 49 4.44089209850063e-16
+7 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.44089209850063e-16
+8 0 1 0 0 18 24 18 4.44089209850063e-16
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+8 0 1 0 0 18 24 43 4.44089209850063e-16
+8 0 1 0 0 18 24 44 4.44089209850063e-16
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+8 0 1 0 0 18 24 46 4.44089209850063e-16
+8 0 1 0 0 18 24 47 4.44089209850063e-16
+8 0 1 0 0 18 24 48 4.44089209850063e-16
+8 0 1 0 0 18 24 49 4.44089209850063e-16
+8 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 4.44089209850063e-16
+8 0 0 0 0 18 24 2 4.44089209850063e-16
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+8 0 0 0 0 18 24 64 4.44089209850063e-16
+8 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.44089209850063e-16
+9 0 1 0 0 18 24 18 4.44089209850063e-16
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+9 0 1 0 0 18 24 43 4.44089209850063e-16
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+9 0 1 0 0 18 24 45 4.44089209850063e-16
+9 0 1 0 0 18 24 46 4.44089209850063e-16
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+9 0 1 0 0 18 24 48 4.44089209850063e-16
+9 0 1 0 0 18 24 49 4.44089209850063e-16
+9 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.44089209850063e-16
+10 0 1 0 0 18 24 18 4.44089209850063e-16
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+10 0 1 0 0 18 24 21 4.44089209850063e-16
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+10 0 1 0 0 18 24 23 4.44089209850063e-16
+10 0 1 0 0 18 24 24 4.44089209850063e-16
+10 0 1 0 0 18 24 25 4.44089209850063e-16
+10 0 1 0 0 18 24 26 4.44089209850063e-16
+10 0 1 0 0 18 24 27 4.44089209850063e-16
+10 0 1 0 0 18 24 28 4.44089209850063e-16
+10 0 1 0 0 18 24 29 4.44089209850063e-16
+10 0 1 0 0 18 24 30 4.44089209850063e-16
+10 0 1 0 0 18 24 31 4.44089209850063e-16
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 18 24 33 4.44089209850063e-16
+10 0 1 0 0 18 24 34 4.44089209850063e-16
+10 0 1 0 0 18 24 35 4.44089209850063e-16
+10 0 1 0 0 18 24 36 4.44089209850063e-16
+10 0 1 0 0 18 24 37 4.44089209850063e-16
+10 0 1 0 0 18 24 38 4.44089209850063e-16
+10 0 1 0 0 18 24 39 4.44089209850063e-16
+10 0 1 0 0 18 24 40 4.44089209850063e-16
+10 0 1 0 0 18 24 41 4.44089209850063e-16
+10 0 1 0 0 18 24 42 4.44089209850063e-16
+10 0 1 0 0 18 24 43 4.44089209850063e-16
+10 0 1 0 0 18 24 44 4.44089209850063e-16
+10 0 1 0 0 18 24 45 4.44089209850063e-16
+10 0 1 0 0 18 24 46 4.44089209850063e-16
+10 0 1 0 0 18 24 47 4.44089209850063e-16
+10 0 1 0 0 18 24 48 4.44089209850063e-16
+10 0 1 0 0 18 24 49 4.44089209850063e-16
+10 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 4.44089209850063e-16
+10 0 0 0 0 18 24 2 4.44089209850063e-16
+10 0 0 0 0 18 24 4 4.44089209850063e-16
+10 0 0 0 0 18 24 6 4.44089209850063e-16
+10 0 0 0 0 18 24 8 4.44089209850063e-16
+10 0 0 0 0 18 24 10 4.44089209850063e-16
+10 0 0 0 0 18 24 12 4.44089209850063e-16
+10 0 0 0 0 18 24 14 4.44089209850063e-16
+10 0 0 0 0 18 24 16 4.44089209850063e-16
+10 0 0 0 0 18 24 18 4.44089209850063e-16
+10 0 0 0 0 18 24 20 4.44089209850063e-16
+10 0 0 0 0 18 24 22 4.44089209850063e-16
+10 0 0 0 0 18 24 24 4.44089209850063e-16
+10 0 0 0 0 18 24 26 4.44089209850063e-16
+10 0 0 0 0 18 24 28 4.44089209850063e-16
+10 0 0 0 0 18 24 30 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 24 34 4.44089209850063e-16
+10 0 0 0 0 18 24 36 4.44089209850063e-16
+10 0 0 0 0 18 24 38 4.44089209850063e-16
+10 0 0 0 0 18 24 40 4.44089209850063e-16
+10 0 0 0 0 18 24 42 4.44089209850063e-16
+10 0 0 0 0 18 24 44 4.44089209850063e-16
+10 0 0 0 0 18 24 46 4.44089209850063e-16
+10 0 0 0 0 18 24 48 4.44089209850063e-16
+10 0 0 0 0 18 24 50 4.44089209850063e-16
+10 0 0 0 0 18 24 52 4.44089209850063e-16
+10 0 0 0 0 18 24 54 4.44089209850063e-16
+10 0 0 0 0 18 24 56 4.44089209850063e-16
+10 0 0 0 0 18 24 58 4.44089209850063e-16
+10 0 0 0 0 18 24 60 4.44089209850063e-16
+10 0 0 0 0 18 24 62 4.44089209850063e-16
+10 0 0 0 0 18 24 64 4.44089209850063e-16
+10 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.44089209850063e-16
+11 0 1 0 0 18 24 18 4.44089209850063e-16
+11 0 1 0 0 18 24 19 4.44089209850063e-16
+11 0 1 0 0 18 24 20 4.44089209850063e-16
+11 0 1 0 0 18 24 21 4.44089209850063e-16
+11 0 1 0 0 18 24 22 4.44089209850063e-16
+11 0 1 0 0 18 24 23 4.44089209850063e-16
+11 0 1 0 0 18 24 24 4.44089209850063e-16
+11 0 1 0 0 18 24 25 4.44089209850063e-16
+11 0 1 0 0 18 24 26 4.44089209850063e-16
+11 0 1 0 0 18 24 27 4.44089209850063e-16
+11 0 1 0 0 18 24 28 4.44089209850063e-16
+11 0 1 0 0 18 24 29 4.44089209850063e-16
+11 0 1 0 0 18 24 30 4.44089209850063e-16
+11 0 1 0 0 18 24 31 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 24 33 4.44089209850063e-16
+11 0 1 0 0 18 24 34 4.44089209850063e-16
+11 0 1 0 0 18 24 35 4.44089209850063e-16
+11 0 1 0 0 18 24 36 4.44089209850063e-16
+11 0 1 0 0 18 24 37 4.44089209850063e-16
+11 0 1 0 0 18 24 38 4.44089209850063e-16
+11 0 1 0 0 18 24 39 4.44089209850063e-16
+11 0 1 0 0 18 24 40 4.44089209850063e-16
+11 0 1 0 0 18 24 41 4.44089209850063e-16
+11 0 1 0 0 18 24 42 4.44089209850063e-16
+11 0 1 0 0 18 24 43 4.44089209850063e-16
+11 0 1 0 0 18 24 44 4.44089209850063e-16
+11 0 1 0 0 18 24 45 4.44089209850063e-16
+11 0 1 0 0 18 24 46 4.44089209850063e-16
+11 0 1 0 0 18 24 47 4.44089209850063e-16
+11 0 1 0 0 18 24 48 4.44089209850063e-16
+11 0 1 0 0 18 24 49 4.44089209850063e-16
+11 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.44089209850063e-16
+12 0 1 0 0 18 24 18 4.44089209850063e-16
+12 0 1 0 0 18 24 19 4.44089209850063e-16
+12 0 1 0 0 18 24 20 4.44089209850063e-16
+12 0 1 0 0 18 24 21 4.44089209850063e-16
+12 0 1 0 0 18 24 22 4.44089209850063e-16
+12 0 1 0 0 18 24 23 4.44089209850063e-16
+12 0 1 0 0 18 24 24 4.44089209850063e-16
+12 0 1 0 0 18 24 25 4.44089209850063e-16
+12 0 1 0 0 18 24 26 4.44089209850063e-16
+12 0 1 0 0 18 24 27 4.44089209850063e-16
+12 0 1 0 0 18 24 28 4.44089209850063e-16
+12 0 1 0 0 18 24 29 4.44089209850063e-16
+12 0 1 0 0 18 24 30 4.44089209850063e-16
+12 0 1 0 0 18 24 31 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 24 33 4.44089209850063e-16
+12 0 1 0 0 18 24 34 4.44089209850063e-16
+12 0 1 0 0 18 24 35 4.44089209850063e-16
+12 0 1 0 0 18 24 36 4.44089209850063e-16
+12 0 1 0 0 18 24 37 4.44089209850063e-16
+12 0 1 0 0 18 24 38 4.44089209850063e-16
+12 0 1 0 0 18 24 39 4.44089209850063e-16
+12 0 1 0 0 18 24 40 4.44089209850063e-16
+12 0 1 0 0 18 24 41 4.44089209850063e-16
+12 0 1 0 0 18 24 42 4.44089209850063e-16
+12 0 1 0 0 18 24 43 4.44089209850063e-16
+12 0 1 0 0 18 24 44 4.44089209850063e-16
+12 0 1 0 0 18 24 45 4.44089209850063e-16
+12 0 1 0 0 18 24 46 4.44089209850063e-16
+12 0 1 0 0 18 24 47 4.44089209850063e-16
+12 0 1 0 0 18 24 48 4.44089209850063e-16
+12 0 1 0 0 18 24 49 4.44089209850063e-16
+12 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 4.44089209850063e-16
+12 0 0 0 0 18 24 2 4.44089209850063e-16
+12 0 0 0 0 18 24 4 4.44089209850063e-16
+12 0 0 0 0 18 24 6 4.44089209850063e-16
+12 0 0 0 0 18 24 8 4.44089209850063e-16
+12 0 0 0 0 18 24 10 4.44089209850063e-16
+12 0 0 0 0 18 24 12 4.44089209850063e-16
+12 0 0 0 0 18 24 14 4.44089209850063e-16
+12 0 0 0 0 18 24 16 4.44089209850063e-16
+12 0 0 0 0 18 24 18 4.44089209850063e-16
+12 0 0 0 0 18 24 20 4.44089209850063e-16
+12 0 0 0 0 18 24 22 4.44089209850063e-16
+12 0 0 0 0 18 24 24 4.44089209850063e-16
+12 0 0 0 0 18 24 26 4.44089209850063e-16
+12 0 0 0 0 18 24 28 4.44089209850063e-16
+12 0 0 0 0 18 24 30 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 24 34 4.44089209850063e-16
+12 0 0 0 0 18 24 36 4.44089209850063e-16
+12 0 0 0 0 18 24 38 4.44089209850063e-16
+12 0 0 0 0 18 24 40 4.44089209850063e-16
+12 0 0 0 0 18 24 42 4.44089209850063e-16
+12 0 0 0 0 18 24 44 4.44089209850063e-16
+12 0 0 0 0 18 24 46 4.44089209850063e-16
+12 0 0 0 0 18 24 48 4.44089209850063e-16
+12 0 0 0 0 18 24 50 4.44089209850063e-16
+12 0 0 0 0 18 24 52 4.44089209850063e-16
+12 0 0 0 0 18 24 54 4.44089209850063e-16
+12 0 0 0 0 18 24 56 4.44089209850063e-16
+12 0 0 0 0 18 24 58 4.44089209850063e-16
+12 0 0 0 0 18 24 60 4.44089209850063e-16
+12 0 0 0 0 18 24 62 4.44089209850063e-16
+12 0 0 0 0 18 24 64 4.44089209850063e-16
+12 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl
new file mode 100644
index 000000000..463d316c5
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -4.44089209850063e-16
+0 0 1 0 0 10 24 32 -4.44089209850063e-16
+0 0 1 0 0 11 24 32 -4.44089209850063e-16
+0 0 1 0 0 12 24 32 -4.44089209850063e-16
+0 0 1 0 0 13 24 32 -4.44089209850063e-16
+0 0 1 0 0 14 24 32 -4.44089209850063e-16
+0 0 1 0 0 15 24 32 -4.44089209850063e-16
+0 0 1 0 0 16 24 32 -4.44089209850063e-16
+0 0 1 0 0 17 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 19 24 32 -4.44089209850063e-16
+0 0 1 0 0 20 24 32 -4.44089209850063e-16
+0 0 1 0 0 21 24 32 -4.44089209850063e-16
+0 0 1 0 0 22 24 32 -4.44089209850063e-16
+0 0 1 0 0 23 24 32 -4.44089209850063e-16
+0 0 1 0 0 24 24 32 -4.44089209850063e-16
+0 0 1 0 0 25 24 32 -4.44089209850063e-16
+0 0 1 0 0 26 24 32 -4.44089209850063e-16
+0 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# 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 24 32 -4.44089209850063e-16
+0 0 0 0 0 2 24 32 -4.44089209850063e-16
+0 0 0 0 0 4 24 32 -4.44089209850063e-16
+0 0 0 0 0 6 24 32 -4.44089209850063e-16
+0 0 0 0 0 8 24 32 -4.44089209850063e-16
+0 0 0 0 0 10 24 32 -4.44089209850063e-16
+0 0 0 0 0 12 24 32 -4.44089209850063e-16
+0 0 0 0 0 14 24 32 -4.44089209850063e-16
+0 0 0 0 0 16 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 20 24 32 -4.44089209850063e-16
+0 0 0 0 0 22 24 32 -4.44089209850063e-16
+0 0 0 0 0 24 24 32 -4.44089209850063e-16
+0 0 0 0 0 26 24 32 -4.44089209850063e-16
+0 0 0 0 0 28 24 32 -4.44089209850063e-16
+0 0 0 0 0 30 24 32 -4.44089209850063e-16
+0 0 0 0 0 32 24 32 -4.44089209850063e-16
+0 0 0 0 0 34 24 32 -4.44089209850063e-16
+0 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -4.44089209850063e-16
+1 0 1 0 0 10 24 32 -4.44089209850063e-16
+1 0 1 0 0 11 24 32 -4.44089209850063e-16
+1 0 1 0 0 12 24 32 -4.44089209850063e-16
+1 0 1 0 0 13 24 32 -4.44089209850063e-16
+1 0 1 0 0 14 24 32 -4.44089209850063e-16
+1 0 1 0 0 15 24 32 -4.44089209850063e-16
+1 0 1 0 0 16 24 32 -4.44089209850063e-16
+1 0 1 0 0 17 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 19 24 32 -4.44089209850063e-16
+1 0 1 0 0 20 24 32 -4.44089209850063e-16
+1 0 1 0 0 21 24 32 -4.44089209850063e-16
+1 0 1 0 0 22 24 32 -4.44089209850063e-16
+1 0 1 0 0 23 24 32 -4.44089209850063e-16
+1 0 1 0 0 24 24 32 -4.44089209850063e-16
+1 0 1 0 0 25 24 32 -4.44089209850063e-16
+1 0 1 0 0 26 24 32 -4.44089209850063e-16
+1 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -4.44089209850063e-16
+2 0 1 0 0 10 24 32 -4.44089209850063e-16
+2 0 1 0 0 11 24 32 -4.44089209850063e-16
+2 0 1 0 0 12 24 32 -4.44089209850063e-16
+2 0 1 0 0 13 24 32 -4.44089209850063e-16
+2 0 1 0 0 14 24 32 -4.44089209850063e-16
+2 0 1 0 0 15 24 32 -4.44089209850063e-16
+2 0 1 0 0 16 24 32 -4.44089209850063e-16
+2 0 1 0 0 17 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 19 24 32 -4.44089209850063e-16
+2 0 1 0 0 20 24 32 -4.44089209850063e-16
+2 0 1 0 0 21 24 32 -4.44089209850063e-16
+2 0 1 0 0 22 24 32 -4.44089209850063e-16
+2 0 1 0 0 23 24 32 -4.44089209850063e-16
+2 0 1 0 0 24 24 32 -4.44089209850063e-16
+2 0 1 0 0 25 24 32 -4.44089209850063e-16
+2 0 1 0 0 26 24 32 -4.44089209850063e-16
+2 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# 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 24 32 -4.44089209850063e-16
+2 0 0 0 0 2 24 32 -4.44089209850063e-16
+2 0 0 0 0 4 24 32 -4.44089209850063e-16
+2 0 0 0 0 6 24 32 -4.44089209850063e-16
+2 0 0 0 0 8 24 32 -4.44089209850063e-16
+2 0 0 0 0 10 24 32 -4.44089209850063e-16
+2 0 0 0 0 12 24 32 -4.44089209850063e-16
+2 0 0 0 0 14 24 32 -4.44089209850063e-16
+2 0 0 0 0 16 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 20 24 32 -4.44089209850063e-16
+2 0 0 0 0 22 24 32 -4.44089209850063e-16
+2 0 0 0 0 24 24 32 -4.44089209850063e-16
+2 0 0 0 0 26 24 32 -4.44089209850063e-16
+2 0 0 0 0 28 24 32 -4.44089209850063e-16
+2 0 0 0 0 30 24 32 -4.44089209850063e-16
+2 0 0 0 0 32 24 32 -4.44089209850063e-16
+2 0 0 0 0 34 24 32 -4.44089209850063e-16
+2 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -4.44089209850063e-16
+3 0 1 0 0 10 24 32 -4.44089209850063e-16
+3 0 1 0 0 11 24 32 -4.44089209850063e-16
+3 0 1 0 0 12 24 32 -4.44089209850063e-16
+3 0 1 0 0 13 24 32 -4.44089209850063e-16
+3 0 1 0 0 14 24 32 -4.44089209850063e-16
+3 0 1 0 0 15 24 32 -4.44089209850063e-16
+3 0 1 0 0 16 24 32 -4.44089209850063e-16
+3 0 1 0 0 17 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 19 24 32 -4.44089209850063e-16
+3 0 1 0 0 20 24 32 -4.44089209850063e-16
+3 0 1 0 0 21 24 32 -4.44089209850063e-16
+3 0 1 0 0 22 24 32 -4.44089209850063e-16
+3 0 1 0 0 23 24 32 -4.44089209850063e-16
+3 0 1 0 0 24 24 32 -4.44089209850063e-16
+3 0 1 0 0 25 24 32 -4.44089209850063e-16
+3 0 1 0 0 26 24 32 -4.44089209850063e-16
+3 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -4.44089209850063e-16
+4 0 1 0 0 10 24 32 -4.44089209850063e-16
+4 0 1 0 0 11 24 32 -4.44089209850063e-16
+4 0 1 0 0 12 24 32 -4.44089209850063e-16
+4 0 1 0 0 13 24 32 -4.44089209850063e-16
+4 0 1 0 0 14 24 32 -4.44089209850063e-16
+4 0 1 0 0 15 24 32 -4.44089209850063e-16
+4 0 1 0 0 16 24 32 -4.44089209850063e-16
+4 0 1 0 0 17 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 19 24 32 -4.44089209850063e-16
+4 0 1 0 0 20 24 32 -4.44089209850063e-16
+4 0 1 0 0 21 24 32 -4.44089209850063e-16
+4 0 1 0 0 22 24 32 -4.44089209850063e-16
+4 0 1 0 0 23 24 32 -4.44089209850063e-16
+4 0 1 0 0 24 24 32 -4.44089209850063e-16
+4 0 1 0 0 25 24 32 -4.44089209850063e-16
+4 0 1 0 0 26 24 32 -4.44089209850063e-16
+4 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# 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 24 32 -4.44089209850063e-16
+4 0 0 0 0 2 24 32 -4.44089209850063e-16
+4 0 0 0 0 4 24 32 -4.44089209850063e-16
+4 0 0 0 0 6 24 32 -4.44089209850063e-16
+4 0 0 0 0 8 24 32 -4.44089209850063e-16
+4 0 0 0 0 10 24 32 -4.44089209850063e-16
+4 0 0 0 0 12 24 32 -4.44089209850063e-16
+4 0 0 0 0 14 24 32 -4.44089209850063e-16
+4 0 0 0 0 16 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 20 24 32 -4.44089209850063e-16
+4 0 0 0 0 22 24 32 -4.44089209850063e-16
+4 0 0 0 0 24 24 32 -4.44089209850063e-16
+4 0 0 0 0 26 24 32 -4.44089209850063e-16
+4 0 0 0 0 28 24 32 -4.44089209850063e-16
+4 0 0 0 0 30 24 32 -4.44089209850063e-16
+4 0 0 0 0 32 24 32 -4.44089209850063e-16
+4 0 0 0 0 34 24 32 -4.44089209850063e-16
+4 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -4.44089209850063e-16
+5 0 1 0 0 10 24 32 -4.44089209850063e-16
+5 0 1 0 0 11 24 32 -4.44089209850063e-16
+5 0 1 0 0 12 24 32 -4.44089209850063e-16
+5 0 1 0 0 13 24 32 -4.44089209850063e-16
+5 0 1 0 0 14 24 32 -4.44089209850063e-16
+5 0 1 0 0 15 24 32 -4.44089209850063e-16
+5 0 1 0 0 16 24 32 -4.44089209850063e-16
+5 0 1 0 0 17 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 19 24 32 -4.44089209850063e-16
+5 0 1 0 0 20 24 32 -4.44089209850063e-16
+5 0 1 0 0 21 24 32 -4.44089209850063e-16
+5 0 1 0 0 22 24 32 -4.44089209850063e-16
+5 0 1 0 0 23 24 32 -4.44089209850063e-16
+5 0 1 0 0 24 24 32 -4.44089209850063e-16
+5 0 1 0 0 25 24 32 -4.44089209850063e-16
+5 0 1 0 0 26 24 32 -4.44089209850063e-16
+5 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -4.44089209850063e-16
+6 0 1 0 0 10 24 32 -4.44089209850063e-16
+6 0 1 0 0 11 24 32 -4.44089209850063e-16
+6 0 1 0 0 12 24 32 -4.44089209850063e-16
+6 0 1 0 0 13 24 32 -4.44089209850063e-16
+6 0 1 0 0 14 24 32 -4.44089209850063e-16
+6 0 1 0 0 15 24 32 -4.44089209850063e-16
+6 0 1 0 0 16 24 32 -4.44089209850063e-16
+6 0 1 0 0 17 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 19 24 32 -4.44089209850063e-16
+6 0 1 0 0 20 24 32 -4.44089209850063e-16
+6 0 1 0 0 21 24 32 -4.44089209850063e-16
+6 0 1 0 0 22 24 32 -4.44089209850063e-16
+6 0 1 0 0 23 24 32 -4.44089209850063e-16
+6 0 1 0 0 24 24 32 -4.44089209850063e-16
+6 0 1 0 0 25 24 32 -4.44089209850063e-16
+6 0 1 0 0 26 24 32 -4.44089209850063e-16
+6 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# 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 24 32 -4.44089209850063e-16
+6 0 0 0 0 2 24 32 -4.44089209850063e-16
+6 0 0 0 0 4 24 32 -4.44089209850063e-16
+6 0 0 0 0 6 24 32 -4.44089209850063e-16
+6 0 0 0 0 8 24 32 -4.44089209850063e-16
+6 0 0 0 0 10 24 32 -4.44089209850063e-16
+6 0 0 0 0 12 24 32 -4.44089209850063e-16
+6 0 0 0 0 14 24 32 -4.44089209850063e-16
+6 0 0 0 0 16 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 20 24 32 -4.44089209850063e-16
+6 0 0 0 0 22 24 32 -4.44089209850063e-16
+6 0 0 0 0 24 24 32 -4.44089209850063e-16
+6 0 0 0 0 26 24 32 -4.44089209850063e-16
+6 0 0 0 0 28 24 32 -4.44089209850063e-16
+6 0 0 0 0 30 24 32 -4.44089209850063e-16
+6 0 0 0 0 32 24 32 -4.44089209850063e-16
+6 0 0 0 0 34 24 32 -4.44089209850063e-16
+6 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -4.44089209850063e-16
+7 0 1 0 0 10 24 32 -4.44089209850063e-16
+7 0 1 0 0 11 24 32 -4.44089209850063e-16
+7 0 1 0 0 12 24 32 -4.44089209850063e-16
+7 0 1 0 0 13 24 32 -4.44089209850063e-16
+7 0 1 0 0 14 24 32 -4.44089209850063e-16
+7 0 1 0 0 15 24 32 -4.44089209850063e-16
+7 0 1 0 0 16 24 32 -4.44089209850063e-16
+7 0 1 0 0 17 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 19 24 32 -4.44089209850063e-16
+7 0 1 0 0 20 24 32 -4.44089209850063e-16
+7 0 1 0 0 21 24 32 -4.44089209850063e-16
+7 0 1 0 0 22 24 32 -4.44089209850063e-16
+7 0 1 0 0 23 24 32 -4.44089209850063e-16
+7 0 1 0 0 24 24 32 -4.44089209850063e-16
+7 0 1 0 0 25 24 32 -4.44089209850063e-16
+7 0 1 0 0 26 24 32 -4.44089209850063e-16
+7 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -4.44089209850063e-16
+8 0 1 0 0 10 24 32 -4.44089209850063e-16
+8 0 1 0 0 11 24 32 -4.44089209850063e-16
+8 0 1 0 0 12 24 32 -4.44089209850063e-16
+8 0 1 0 0 13 24 32 -4.44089209850063e-16
+8 0 1 0 0 14 24 32 -4.44089209850063e-16
+8 0 1 0 0 15 24 32 -4.44089209850063e-16
+8 0 1 0 0 16 24 32 -4.44089209850063e-16
+8 0 1 0 0 17 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 19 24 32 -4.44089209850063e-16
+8 0 1 0 0 20 24 32 -4.44089209850063e-16
+8 0 1 0 0 21 24 32 -4.44089209850063e-16
+8 0 1 0 0 22 24 32 -4.44089209850063e-16
+8 0 1 0 0 23 24 32 -4.44089209850063e-16
+8 0 1 0 0 24 24 32 -4.44089209850063e-16
+8 0 1 0 0 25 24 32 -4.44089209850063e-16
+8 0 1 0 0 26 24 32 -4.44089209850063e-16
+8 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -4.44089209850063e-16
+8 0 0 0 0 2 24 32 -4.44089209850063e-16
+8 0 0 0 0 4 24 32 -4.44089209850063e-16
+8 0 0 0 0 6 24 32 -4.44089209850063e-16
+8 0 0 0 0 8 24 32 -4.44089209850063e-16
+8 0 0 0 0 10 24 32 -4.44089209850063e-16
+8 0 0 0 0 12 24 32 -4.44089209850063e-16
+8 0 0 0 0 14 24 32 -4.44089209850063e-16
+8 0 0 0 0 16 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 20 24 32 -4.44089209850063e-16
+8 0 0 0 0 22 24 32 -4.44089209850063e-16
+8 0 0 0 0 24 24 32 -4.44089209850063e-16
+8 0 0 0 0 26 24 32 -4.44089209850063e-16
+8 0 0 0 0 28 24 32 -4.44089209850063e-16
+8 0 0 0 0 30 24 32 -4.44089209850063e-16
+8 0 0 0 0 32 24 32 -4.44089209850063e-16
+8 0 0 0 0 34 24 32 -4.44089209850063e-16
+8 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -4.44089209850063e-16
+9 0 1 0 0 10 24 32 -4.44089209850063e-16
+9 0 1 0 0 11 24 32 -4.44089209850063e-16
+9 0 1 0 0 12 24 32 -4.44089209850063e-16
+9 0 1 0 0 13 24 32 -4.44089209850063e-16
+9 0 1 0 0 14 24 32 -4.44089209850063e-16
+9 0 1 0 0 15 24 32 -4.44089209850063e-16
+9 0 1 0 0 16 24 32 -4.44089209850063e-16
+9 0 1 0 0 17 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 19 24 32 -4.44089209850063e-16
+9 0 1 0 0 20 24 32 -4.44089209850063e-16
+9 0 1 0 0 21 24 32 -4.44089209850063e-16
+9 0 1 0 0 22 24 32 -4.44089209850063e-16
+9 0 1 0 0 23 24 32 -4.44089209850063e-16
+9 0 1 0 0 24 24 32 -4.44089209850063e-16
+9 0 1 0 0 25 24 32 -4.44089209850063e-16
+9 0 1 0 0 26 24 32 -4.44089209850063e-16
+9 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -4.44089209850063e-16
+10 0 1 0 0 10 24 32 -4.44089209850063e-16
+10 0 1 0 0 11 24 32 -4.44089209850063e-16
+10 0 1 0 0 12 24 32 -4.44089209850063e-16
+10 0 1 0 0 13 24 32 -4.44089209850063e-16
+10 0 1 0 0 14 24 32 -4.44089209850063e-16
+10 0 1 0 0 15 24 32 -4.44089209850063e-16
+10 0 1 0 0 16 24 32 -4.44089209850063e-16
+10 0 1 0 0 17 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 19 24 32 -4.44089209850063e-16
+10 0 1 0 0 20 24 32 -4.44089209850063e-16
+10 0 1 0 0 21 24 32 -4.44089209850063e-16
+10 0 1 0 0 22 24 32 -4.44089209850063e-16
+10 0 1 0 0 23 24 32 -4.44089209850063e-16
+10 0 1 0 0 24 24 32 -4.44089209850063e-16
+10 0 1 0 0 25 24 32 -4.44089209850063e-16
+10 0 1 0 0 26 24 32 -4.44089209850063e-16
+10 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -4.44089209850063e-16
+10 0 0 0 0 2 24 32 -4.44089209850063e-16
+10 0 0 0 0 4 24 32 -4.44089209850063e-16
+10 0 0 0 0 6 24 32 -4.44089209850063e-16
+10 0 0 0 0 8 24 32 -4.44089209850063e-16
+10 0 0 0 0 10 24 32 -4.44089209850063e-16
+10 0 0 0 0 12 24 32 -4.44089209850063e-16
+10 0 0 0 0 14 24 32 -4.44089209850063e-16
+10 0 0 0 0 16 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 20 24 32 -4.44089209850063e-16
+10 0 0 0 0 22 24 32 -4.44089209850063e-16
+10 0 0 0 0 24 24 32 -4.44089209850063e-16
+10 0 0 0 0 26 24 32 -4.44089209850063e-16
+10 0 0 0 0 28 24 32 -4.44089209850063e-16
+10 0 0 0 0 30 24 32 -4.44089209850063e-16
+10 0 0 0 0 32 24 32 -4.44089209850063e-16
+10 0 0 0 0 34 24 32 -4.44089209850063e-16
+10 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -4.44089209850063e-16
+11 0 1 0 0 10 24 32 -4.44089209850063e-16
+11 0 1 0 0 11 24 32 -4.44089209850063e-16
+11 0 1 0 0 12 24 32 -4.44089209850063e-16
+11 0 1 0 0 13 24 32 -4.44089209850063e-16
+11 0 1 0 0 14 24 32 -4.44089209850063e-16
+11 0 1 0 0 15 24 32 -4.44089209850063e-16
+11 0 1 0 0 16 24 32 -4.44089209850063e-16
+11 0 1 0 0 17 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 19 24 32 -4.44089209850063e-16
+11 0 1 0 0 20 24 32 -4.44089209850063e-16
+11 0 1 0 0 21 24 32 -4.44089209850063e-16
+11 0 1 0 0 22 24 32 -4.44089209850063e-16
+11 0 1 0 0 23 24 32 -4.44089209850063e-16
+11 0 1 0 0 24 24 32 -4.44089209850063e-16
+11 0 1 0 0 25 24 32 -4.44089209850063e-16
+11 0 1 0 0 26 24 32 -4.44089209850063e-16
+11 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -4.44089209850063e-16
+12 0 1 0 0 10 24 32 -4.44089209850063e-16
+12 0 1 0 0 11 24 32 -4.44089209850063e-16
+12 0 1 0 0 12 24 32 -4.44089209850063e-16
+12 0 1 0 0 13 24 32 -4.44089209850063e-16
+12 0 1 0 0 14 24 32 -4.44089209850063e-16
+12 0 1 0 0 15 24 32 -4.44089209850063e-16
+12 0 1 0 0 16 24 32 -4.44089209850063e-16
+12 0 1 0 0 17 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 19 24 32 -4.44089209850063e-16
+12 0 1 0 0 20 24 32 -4.44089209850063e-16
+12 0 1 0 0 21 24 32 -4.44089209850063e-16
+12 0 1 0 0 22 24 32 -4.44089209850063e-16
+12 0 1 0 0 23 24 32 -4.44089209850063e-16
+12 0 1 0 0 24 24 32 -4.44089209850063e-16
+12 0 1 0 0 25 24 32 -4.44089209850063e-16
+12 0 1 0 0 26 24 32 -4.44089209850063e-16
+12 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -4.44089209850063e-16
+12 0 0 0 0 2 24 32 -4.44089209850063e-16
+12 0 0 0 0 4 24 32 -4.44089209850063e-16
+12 0 0 0 0 6 24 32 -4.44089209850063e-16
+12 0 0 0 0 8 24 32 -4.44089209850063e-16
+12 0 0 0 0 10 24 32 -4.44089209850063e-16
+12 0 0 0 0 12 24 32 -4.44089209850063e-16
+12 0 0 0 0 14 24 32 -4.44089209850063e-16
+12 0 0 0 0 16 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 20 24 32 -4.44089209850063e-16
+12 0 0 0 0 22 24 32 -4.44089209850063e-16
+12 0 0 0 0 24 24 32 -4.44089209850063e-16
+12 0 0 0 0 26 24 32 -4.44089209850063e-16
+12 0 0 0 0 28 24 32 -4.44089209850063e-16
+12 0 0 0 0 30 24 32 -4.44089209850063e-16
+12 0 0 0 0 32 24 32 -4.44089209850063e-16
+12 0 0 0 0 34 24 32 -4.44089209850063e-16
+12 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl
new file mode 100644
index 000000000..6f89efa80
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -3.3
+0 0 1 0 0 18 14 32 -3
+0 0 1 0 0 18 15 32 -2.7
+0 0 1 0 0 18 16 32 -2.4
+0 0 1 0 0 18 17 32 -2.1
+0 0 1 0 0 18 18 32 -1.8
+0 0 1 0 0 18 19 32 -1.5
+0 0 1 0 0 18 20 32 -1.2
+0 0 1 0 0 18 21 32 -0.9
+0 0 1 0 0 18 22 32 -0.6
+0 0 1 0 0 18 23 32 -0.3
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 -7.2
+0 0 0 0 0 18 2 32 -6.6
+0 0 0 0 0 18 4 32 -6
+0 0 0 0 0 18 6 32 -5.4
+0 0 0 0 0 18 8 32 -4.8
+0 0 0 0 0 18 10 32 -4.2
+0 0 0 0 0 18 12 32 -3.6
+0 0 0 0 0 18 14 32 -3
+0 0 0 0 0 18 16 32 -2.4
+0 0 0 0 0 18 18 32 -1.8
+0 0 0 0 0 18 20 32 -1.2
+0 0 0 0 0 18 22 32 -0.6
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 -3.3
+1 0 1 0 0 18 14 32 -3
+1 0 1 0 0 18 15 32 -2.7
+1 0 1 0 0 18 16 32 -2.4
+1 0 1 0 0 18 17 32 -2.1
+1 0 1 0 0 18 18 32 -1.8
+1 0 1 0 0 18 19 32 -1.5
+1 0 1 0 0 18 20 32 -1.2
+1 0 1 0 0 18 21 32 -0.9
+1 0 1 0 0 18 22 32 -0.6
+1 0 1 0 0 18 23 32 -0.3
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 -3.3
+2 0 1 0 0 18 14 32 -3
+2 0 1 0 0 18 15 32 -2.7
+2 0 1 0 0 18 16 32 -2.4
+2 0 1 0 0 18 17 32 -2.1
+2 0 1 0 0 18 18 32 -1.8
+2 0 1 0 0 18 19 32 -1.5
+2 0 1 0 0 18 20 32 -1.2
+2 0 1 0 0 18 21 32 -0.9
+2 0 1 0 0 18 22 32 -0.6
+2 0 1 0 0 18 23 32 -0.3
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 -7.2
+2 0 0 0 0 18 2 32 -6.6
+2 0 0 0 0 18 4 32 -6
+2 0 0 0 0 18 6 32 -5.4
+2 0 0 0 0 18 8 32 -4.8
+2 0 0 0 0 18 10 32 -4.2
+2 0 0 0 0 18 12 32 -3.6
+2 0 0 0 0 18 14 32 -3
+2 0 0 0 0 18 16 32 -2.4
+2 0 0 0 0 18 18 32 -1.8
+2 0 0 0 0 18 20 32 -1.2
+2 0 0 0 0 18 22 32 -0.6
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 -3.3
+3 0 1 0 0 18 14 32 -3
+3 0 1 0 0 18 15 32 -2.7
+3 0 1 0 0 18 16 32 -2.4
+3 0 1 0 0 18 17 32 -2.1
+3 0 1 0 0 18 18 32 -1.8
+3 0 1 0 0 18 19 32 -1.5
+3 0 1 0 0 18 20 32 -1.2
+3 0 1 0 0 18 21 32 -0.9
+3 0 1 0 0 18 22 32 -0.6
+3 0 1 0 0 18 23 32 -0.3
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 -3.3
+4 0 1 0 0 18 14 32 -3
+4 0 1 0 0 18 15 32 -2.7
+4 0 1 0 0 18 16 32 -2.4
+4 0 1 0 0 18 17 32 -2.1
+4 0 1 0 0 18 18 32 -1.8
+4 0 1 0 0 18 19 32 -1.5
+4 0 1 0 0 18 20 32 -1.2
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+4 0 1 0 0 18 22 32 -0.6
+4 0 1 0 0 18 23 32 -0.3
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 25 32 0.3
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+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 -7.2
+4 0 0 0 0 18 2 32 -6.6
+4 0 0 0 0 18 4 32 -6
+4 0 0 0 0 18 6 32 -5.4
+4 0 0 0 0 18 8 32 -4.8
+4 0 0 0 0 18 10 32 -4.2
+4 0 0 0 0 18 12 32 -3.6
+4 0 0 0 0 18 14 32 -3
+4 0 0 0 0 18 16 32 -2.4
+4 0 0 0 0 18 18 32 -1.8
+4 0 0 0 0 18 20 32 -1.2
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+4 0 0 0 0 18 26 32 0.6
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+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 -3.3
+5 0 1 0 0 18 14 32 -3
+5 0 1 0 0 18 15 32 -2.7
+5 0 1 0 0 18 16 32 -2.4
+5 0 1 0 0 18 17 32 -2.1
+5 0 1 0 0 18 18 32 -1.8
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+5 0 1 0 0 18 25 32 0.3
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+5 0 1 0 0 18 28 32 1.2
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+5 0 1 0 0 18 30 32 1.8
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+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -3.3
+6 0 1 0 0 18 14 32 -3
+6 0 1 0 0 18 15 32 -2.7
+6 0 1 0 0 18 16 32 -2.4
+6 0 1 0 0 18 17 32 -2.1
+6 0 1 0 0 18 18 32 -1.8
+6 0 1 0 0 18 19 32 -1.5
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+6 0 1 0 0 18 24 32 -4.44089209850063e-16
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+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 -7.2
+6 0 0 0 0 18 2 32 -6.6
+6 0 0 0 0 18 4 32 -6
+6 0 0 0 0 18 6 32 -5.4
+6 0 0 0 0 18 8 32 -4.8
+6 0 0 0 0 18 10 32 -4.2
+6 0 0 0 0 18 12 32 -3.6
+6 0 0 0 0 18 14 32 -3
+6 0 0 0 0 18 16 32 -2.4
+6 0 0 0 0 18 18 32 -1.8
+6 0 0 0 0 18 20 32 -1.2
+6 0 0 0 0 18 22 32 -0.6
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -3.3
+7 0 1 0 0 18 14 32 -3
+7 0 1 0 0 18 15 32 -2.7
+7 0 1 0 0 18 16 32 -2.4
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+7 0 1 0 0 18 27 32 0.899999999999999
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+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
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+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -3.3
+8 0 1 0 0 18 14 32 -3
+8 0 1 0 0 18 15 32 -2.7
+8 0 1 0 0 18 16 32 -2.4
+8 0 1 0 0 18 17 32 -2.1
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+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
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+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -7.2
+8 0 0 0 0 18 2 32 -6.6
+8 0 0 0 0 18 4 32 -6
+8 0 0 0 0 18 6 32 -5.4
+8 0 0 0 0 18 8 32 -4.8
+8 0 0 0 0 18 10 32 -4.2
+8 0 0 0 0 18 12 32 -3.6
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+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -3.3
+9 0 1 0 0 18 14 32 -3
+9 0 1 0 0 18 15 32 -2.7
+9 0 1 0 0 18 16 32 -2.4
+9 0 1 0 0 18 17 32 -2.1
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+9 0 1 0 0 18 25 32 0.3
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+9 0 1 0 0 18 27 32 0.899999999999999
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+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
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+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -3.3
+10 0 1 0 0 18 14 32 -3
+10 0 1 0 0 18 15 32 -2.7
+10 0 1 0 0 18 16 32 -2.4
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+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
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+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
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+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -7.2
+10 0 0 0 0 18 2 32 -6.6
+10 0 0 0 0 18 4 32 -6
+10 0 0 0 0 18 6 32 -5.4
+10 0 0 0 0 18 8 32 -4.8
+10 0 0 0 0 18 10 32 -4.2
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+10 0 0 0 0 18 38 32 4.2
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+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -3.3
+11 0 1 0 0 18 14 32 -3
+11 0 1 0 0 18 15 32 -2.7
+11 0 1 0 0 18 16 32 -2.4
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+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -3.3
+12 0 1 0 0 18 14 32 -3
+12 0 1 0 0 18 15 32 -2.7
+12 0 1 0 0 18 16 32 -2.4
+12 0 1 0 0 18 17 32 -2.1
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+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
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+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
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+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 -7.2
+12 0 0 0 0 18 2 32 -6.6
+12 0 0 0 0 18 4 32 -6
+12 0 0 0 0 18 6 32 -5.4
+12 0 0 0 0 18 8 32 -4.8
+12 0 0 0 0 18 10 32 -4.2
+12 0 0 0 0 18 12 32 -3.6
+12 0 0 0 0 18 14 32 -3
+12 0 0 0 0 18 16 32 -2.4
+12 0 0 0 0 18 18 32 -1.8
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+12 0 0 0 0 18 22 32 -0.6
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+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl
new file mode 100644
index 000000000..ef19addd3
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.44089209850063e-16
+0 0 1 0 0 18 24 18 -4.44089209850063e-16
+0 0 1 0 0 18 24 19 -4.44089209850063e-16
+0 0 1 0 0 18 24 20 -4.44089209850063e-16
+0 0 1 0 0 18 24 21 -4.44089209850063e-16
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+0 0 1 0 0 18 24 27 -4.44089209850063e-16
+0 0 1 0 0 18 24 28 -4.44089209850063e-16
+0 0 1 0 0 18 24 29 -4.44089209850063e-16
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+0 0 1 0 0 18 24 33 -4.44089209850063e-16
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+0 0 1 0 0 18 24 35 -4.44089209850063e-16
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+0 0 1 0 0 18 24 43 -4.44089209850063e-16
+0 0 1 0 0 18 24 44 -4.44089209850063e-16
+0 0 1 0 0 18 24 45 -4.44089209850063e-16
+0 0 1 0 0 18 24 46 -4.44089209850063e-16
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+0 0 1 0 0 18 24 48 -4.44089209850063e-16
+0 0 1 0 0 18 24 49 -4.44089209850063e-16
+0 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# 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 18 24 0 -4.44089209850063e-16
+0 0 0 0 0 18 24 2 -4.44089209850063e-16
+0 0 0 0 0 18 24 4 -4.44089209850063e-16
+0 0 0 0 0 18 24 6 -4.44089209850063e-16
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+0 0 0 0 0 18 24 14 -4.44089209850063e-16
+0 0 0 0 0 18 24 16 -4.44089209850063e-16
+0 0 0 0 0 18 24 18 -4.44089209850063e-16
+0 0 0 0 0 18 24 20 -4.44089209850063e-16
+0 0 0 0 0 18 24 22 -4.44089209850063e-16
+0 0 0 0 0 18 24 24 -4.44089209850063e-16
+0 0 0 0 0 18 24 26 -4.44089209850063e-16
+0 0 0 0 0 18 24 28 -4.44089209850063e-16
+0 0 0 0 0 18 24 30 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 34 -4.44089209850063e-16
+0 0 0 0 0 18 24 36 -4.44089209850063e-16
+0 0 0 0 0 18 24 38 -4.44089209850063e-16
+0 0 0 0 0 18 24 40 -4.44089209850063e-16
+0 0 0 0 0 18 24 42 -4.44089209850063e-16
+0 0 0 0 0 18 24 44 -4.44089209850063e-16
+0 0 0 0 0 18 24 46 -4.44089209850063e-16
+0 0 0 0 0 18 24 48 -4.44089209850063e-16
+0 0 0 0 0 18 24 50 -4.44089209850063e-16
+0 0 0 0 0 18 24 52 -4.44089209850063e-16
+0 0 0 0 0 18 24 54 -4.44089209850063e-16
+0 0 0 0 0 18 24 56 -4.44089209850063e-16
+0 0 0 0 0 18 24 58 -4.44089209850063e-16
+0 0 0 0 0 18 24 60 -4.44089209850063e-16
+0 0 0 0 0 18 24 62 -4.44089209850063e-16
+0 0 0 0 0 18 24 64 -4.44089209850063e-16
+0 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.44089209850063e-16
+1 0 1 0 0 18 24 18 -4.44089209850063e-16
+1 0 1 0 0 18 24 19 -4.44089209850063e-16
+1 0 1 0 0 18 24 20 -4.44089209850063e-16
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+1 0 1 0 0 18 24 49 -4.44089209850063e-16
+1 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.44089209850063e-16
+2 0 1 0 0 18 24 18 -4.44089209850063e-16
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+2 0 1 0 0 18 24 49 -4.44089209850063e-16
+2 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# 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 18 24 0 -4.44089209850063e-16
+2 0 0 0 0 18 24 2 -4.44089209850063e-16
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+2 0 0 0 0 18 24 64 -4.44089209850063e-16
+2 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.44089209850063e-16
+3 0 1 0 0 18 24 18 -4.44089209850063e-16
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+3 0 1 0 0 18 24 49 -4.44089209850063e-16
+3 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.44089209850063e-16
+4 0 1 0 0 18 24 18 -4.44089209850063e-16
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+4 0 1 0 0 18 24 49 -4.44089209850063e-16
+4 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# 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 18 24 0 -4.44089209850063e-16
+4 0 0 0 0 18 24 2 -4.44089209850063e-16
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.44089209850063e-16
+5 0 1 0 0 18 24 18 -4.44089209850063e-16
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+5 0 1 0 0 18 24 49 -4.44089209850063e-16
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.44089209850063e-16
+6 0 1 0 0 18 24 18 -4.44089209850063e-16
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+6 0 1 0 0 18 24 49 -4.44089209850063e-16
+6 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# 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 18 24 0 -4.44089209850063e-16
+6 0 0 0 0 18 24 2 -4.44089209850063e-16
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.44089209850063e-16
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+7 0 1 0 0 18 24 49 -4.44089209850063e-16
+7 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.44089209850063e-16
+8 0 1 0 0 18 24 18 -4.44089209850063e-16
+8 0 1 0 0 18 24 19 -4.44089209850063e-16
+8 0 1 0 0 18 24 20 -4.44089209850063e-16
+8 0 1 0 0 18 24 21 -4.44089209850063e-16
+8 0 1 0 0 18 24 22 -4.44089209850063e-16
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+8 0 1 0 0 18 24 25 -4.44089209850063e-16
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+8 0 1 0 0 18 24 27 -4.44089209850063e-16
+8 0 1 0 0 18 24 28 -4.44089209850063e-16
+8 0 1 0 0 18 24 29 -4.44089209850063e-16
+8 0 1 0 0 18 24 30 -4.44089209850063e-16
+8 0 1 0 0 18 24 31 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 33 -4.44089209850063e-16
+8 0 1 0 0 18 24 34 -4.44089209850063e-16
+8 0 1 0 0 18 24 35 -4.44089209850063e-16
+8 0 1 0 0 18 24 36 -4.44089209850063e-16
+8 0 1 0 0 18 24 37 -4.44089209850063e-16
+8 0 1 0 0 18 24 38 -4.44089209850063e-16
+8 0 1 0 0 18 24 39 -4.44089209850063e-16
+8 0 1 0 0 18 24 40 -4.44089209850063e-16
+8 0 1 0 0 18 24 41 -4.44089209850063e-16
+8 0 1 0 0 18 24 42 -4.44089209850063e-16
+8 0 1 0 0 18 24 43 -4.44089209850063e-16
+8 0 1 0 0 18 24 44 -4.44089209850063e-16
+8 0 1 0 0 18 24 45 -4.44089209850063e-16
+8 0 1 0 0 18 24 46 -4.44089209850063e-16
+8 0 1 0 0 18 24 47 -4.44089209850063e-16
+8 0 1 0 0 18 24 48 -4.44089209850063e-16
+8 0 1 0 0 18 24 49 -4.44089209850063e-16
+8 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -4.44089209850063e-16
+8 0 0 0 0 18 24 2 -4.44089209850063e-16
+8 0 0 0 0 18 24 4 -4.44089209850063e-16
+8 0 0 0 0 18 24 6 -4.44089209850063e-16
+8 0 0 0 0 18 24 8 -4.44089209850063e-16
+8 0 0 0 0 18 24 10 -4.44089209850063e-16
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+8 0 0 0 0 18 24 18 -4.44089209850063e-16
+8 0 0 0 0 18 24 20 -4.44089209850063e-16
+8 0 0 0 0 18 24 22 -4.44089209850063e-16
+8 0 0 0 0 18 24 24 -4.44089209850063e-16
+8 0 0 0 0 18 24 26 -4.44089209850063e-16
+8 0 0 0 0 18 24 28 -4.44089209850063e-16
+8 0 0 0 0 18 24 30 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 34 -4.44089209850063e-16
+8 0 0 0 0 18 24 36 -4.44089209850063e-16
+8 0 0 0 0 18 24 38 -4.44089209850063e-16
+8 0 0 0 0 18 24 40 -4.44089209850063e-16
+8 0 0 0 0 18 24 42 -4.44089209850063e-16
+8 0 0 0 0 18 24 44 -4.44089209850063e-16
+8 0 0 0 0 18 24 46 -4.44089209850063e-16
+8 0 0 0 0 18 24 48 -4.44089209850063e-16
+8 0 0 0 0 18 24 50 -4.44089209850063e-16
+8 0 0 0 0 18 24 52 -4.44089209850063e-16
+8 0 0 0 0 18 24 54 -4.44089209850063e-16
+8 0 0 0 0 18 24 56 -4.44089209850063e-16
+8 0 0 0 0 18 24 58 -4.44089209850063e-16
+8 0 0 0 0 18 24 60 -4.44089209850063e-16
+8 0 0 0 0 18 24 62 -4.44089209850063e-16
+8 0 0 0 0 18 24 64 -4.44089209850063e-16
+8 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.44089209850063e-16
+9 0 1 0 0 18 24 18 -4.44089209850063e-16
+9 0 1 0 0 18 24 19 -4.44089209850063e-16
+9 0 1 0 0 18 24 20 -4.44089209850063e-16
+9 0 1 0 0 18 24 21 -4.44089209850063e-16
+9 0 1 0 0 18 24 22 -4.44089209850063e-16
+9 0 1 0 0 18 24 23 -4.44089209850063e-16
+9 0 1 0 0 18 24 24 -4.44089209850063e-16
+9 0 1 0 0 18 24 25 -4.44089209850063e-16
+9 0 1 0 0 18 24 26 -4.44089209850063e-16
+9 0 1 0 0 18 24 27 -4.44089209850063e-16
+9 0 1 0 0 18 24 28 -4.44089209850063e-16
+9 0 1 0 0 18 24 29 -4.44089209850063e-16
+9 0 1 0 0 18 24 30 -4.44089209850063e-16
+9 0 1 0 0 18 24 31 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 33 -4.44089209850063e-16
+9 0 1 0 0 18 24 34 -4.44089209850063e-16
+9 0 1 0 0 18 24 35 -4.44089209850063e-16
+9 0 1 0 0 18 24 36 -4.44089209850063e-16
+9 0 1 0 0 18 24 37 -4.44089209850063e-16
+9 0 1 0 0 18 24 38 -4.44089209850063e-16
+9 0 1 0 0 18 24 39 -4.44089209850063e-16
+9 0 1 0 0 18 24 40 -4.44089209850063e-16
+9 0 1 0 0 18 24 41 -4.44089209850063e-16
+9 0 1 0 0 18 24 42 -4.44089209850063e-16
+9 0 1 0 0 18 24 43 -4.44089209850063e-16
+9 0 1 0 0 18 24 44 -4.44089209850063e-16
+9 0 1 0 0 18 24 45 -4.44089209850063e-16
+9 0 1 0 0 18 24 46 -4.44089209850063e-16
+9 0 1 0 0 18 24 47 -4.44089209850063e-16
+9 0 1 0 0 18 24 48 -4.44089209850063e-16
+9 0 1 0 0 18 24 49 -4.44089209850063e-16
+9 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.44089209850063e-16
+10 0 1 0 0 18 24 18 -4.44089209850063e-16
+10 0 1 0 0 18 24 19 -4.44089209850063e-16
+10 0 1 0 0 18 24 20 -4.44089209850063e-16
+10 0 1 0 0 18 24 21 -4.44089209850063e-16
+10 0 1 0 0 18 24 22 -4.44089209850063e-16
+10 0 1 0 0 18 24 23 -4.44089209850063e-16
+10 0 1 0 0 18 24 24 -4.44089209850063e-16
+10 0 1 0 0 18 24 25 -4.44089209850063e-16
+10 0 1 0 0 18 24 26 -4.44089209850063e-16
+10 0 1 0 0 18 24 27 -4.44089209850063e-16
+10 0 1 0 0 18 24 28 -4.44089209850063e-16
+10 0 1 0 0 18 24 29 -4.44089209850063e-16
+10 0 1 0 0 18 24 30 -4.44089209850063e-16
+10 0 1 0 0 18 24 31 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 33 -4.44089209850063e-16
+10 0 1 0 0 18 24 34 -4.44089209850063e-16
+10 0 1 0 0 18 24 35 -4.44089209850063e-16
+10 0 1 0 0 18 24 36 -4.44089209850063e-16
+10 0 1 0 0 18 24 37 -4.44089209850063e-16
+10 0 1 0 0 18 24 38 -4.44089209850063e-16
+10 0 1 0 0 18 24 39 -4.44089209850063e-16
+10 0 1 0 0 18 24 40 -4.44089209850063e-16
+10 0 1 0 0 18 24 41 -4.44089209850063e-16
+10 0 1 0 0 18 24 42 -4.44089209850063e-16
+10 0 1 0 0 18 24 43 -4.44089209850063e-16
+10 0 1 0 0 18 24 44 -4.44089209850063e-16
+10 0 1 0 0 18 24 45 -4.44089209850063e-16
+10 0 1 0 0 18 24 46 -4.44089209850063e-16
+10 0 1 0 0 18 24 47 -4.44089209850063e-16
+10 0 1 0 0 18 24 48 -4.44089209850063e-16
+10 0 1 0 0 18 24 49 -4.44089209850063e-16
+10 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -4.44089209850063e-16
+10 0 0 0 0 18 24 2 -4.44089209850063e-16
+10 0 0 0 0 18 24 4 -4.44089209850063e-16
+10 0 0 0 0 18 24 6 -4.44089209850063e-16
+10 0 0 0 0 18 24 8 -4.44089209850063e-16
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+10 0 0 0 0 18 24 16 -4.44089209850063e-16
+10 0 0 0 0 18 24 18 -4.44089209850063e-16
+10 0 0 0 0 18 24 20 -4.44089209850063e-16
+10 0 0 0 0 18 24 22 -4.44089209850063e-16
+10 0 0 0 0 18 24 24 -4.44089209850063e-16
+10 0 0 0 0 18 24 26 -4.44089209850063e-16
+10 0 0 0 0 18 24 28 -4.44089209850063e-16
+10 0 0 0 0 18 24 30 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 34 -4.44089209850063e-16
+10 0 0 0 0 18 24 36 -4.44089209850063e-16
+10 0 0 0 0 18 24 38 -4.44089209850063e-16
+10 0 0 0 0 18 24 40 -4.44089209850063e-16
+10 0 0 0 0 18 24 42 -4.44089209850063e-16
+10 0 0 0 0 18 24 44 -4.44089209850063e-16
+10 0 0 0 0 18 24 46 -4.44089209850063e-16
+10 0 0 0 0 18 24 48 -4.44089209850063e-16
+10 0 0 0 0 18 24 50 -4.44089209850063e-16
+10 0 0 0 0 18 24 52 -4.44089209850063e-16
+10 0 0 0 0 18 24 54 -4.44089209850063e-16
+10 0 0 0 0 18 24 56 -4.44089209850063e-16
+10 0 0 0 0 18 24 58 -4.44089209850063e-16
+10 0 0 0 0 18 24 60 -4.44089209850063e-16
+10 0 0 0 0 18 24 62 -4.44089209850063e-16
+10 0 0 0 0 18 24 64 -4.44089209850063e-16
+10 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.44089209850063e-16
+11 0 1 0 0 18 24 18 -4.44089209850063e-16
+11 0 1 0 0 18 24 19 -4.44089209850063e-16
+11 0 1 0 0 18 24 20 -4.44089209850063e-16
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+11 0 1 0 0 18 24 28 -4.44089209850063e-16
+11 0 1 0 0 18 24 29 -4.44089209850063e-16
+11 0 1 0 0 18 24 30 -4.44089209850063e-16
+11 0 1 0 0 18 24 31 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 33 -4.44089209850063e-16
+11 0 1 0 0 18 24 34 -4.44089209850063e-16
+11 0 1 0 0 18 24 35 -4.44089209850063e-16
+11 0 1 0 0 18 24 36 -4.44089209850063e-16
+11 0 1 0 0 18 24 37 -4.44089209850063e-16
+11 0 1 0 0 18 24 38 -4.44089209850063e-16
+11 0 1 0 0 18 24 39 -4.44089209850063e-16
+11 0 1 0 0 18 24 40 -4.44089209850063e-16
+11 0 1 0 0 18 24 41 -4.44089209850063e-16
+11 0 1 0 0 18 24 42 -4.44089209850063e-16
+11 0 1 0 0 18 24 43 -4.44089209850063e-16
+11 0 1 0 0 18 24 44 -4.44089209850063e-16
+11 0 1 0 0 18 24 45 -4.44089209850063e-16
+11 0 1 0 0 18 24 46 -4.44089209850063e-16
+11 0 1 0 0 18 24 47 -4.44089209850063e-16
+11 0 1 0 0 18 24 48 -4.44089209850063e-16
+11 0 1 0 0 18 24 49 -4.44089209850063e-16
+11 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.44089209850063e-16
+12 0 1 0 0 18 24 18 -4.44089209850063e-16
+12 0 1 0 0 18 24 19 -4.44089209850063e-16
+12 0 1 0 0 18 24 20 -4.44089209850063e-16
+12 0 1 0 0 18 24 21 -4.44089209850063e-16
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+12 0 1 0 0 18 24 25 -4.44089209850063e-16
+12 0 1 0 0 18 24 26 -4.44089209850063e-16
+12 0 1 0 0 18 24 27 -4.44089209850063e-16
+12 0 1 0 0 18 24 28 -4.44089209850063e-16
+12 0 1 0 0 18 24 29 -4.44089209850063e-16
+12 0 1 0 0 18 24 30 -4.44089209850063e-16
+12 0 1 0 0 18 24 31 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 33 -4.44089209850063e-16
+12 0 1 0 0 18 24 34 -4.44089209850063e-16
+12 0 1 0 0 18 24 35 -4.44089209850063e-16
+12 0 1 0 0 18 24 36 -4.44089209850063e-16
+12 0 1 0 0 18 24 37 -4.44089209850063e-16
+12 0 1 0 0 18 24 38 -4.44089209850063e-16
+12 0 1 0 0 18 24 39 -4.44089209850063e-16
+12 0 1 0 0 18 24 40 -4.44089209850063e-16
+12 0 1 0 0 18 24 41 -4.44089209850063e-16
+12 0 1 0 0 18 24 42 -4.44089209850063e-16
+12 0 1 0 0 18 24 43 -4.44089209850063e-16
+12 0 1 0 0 18 24 44 -4.44089209850063e-16
+12 0 1 0 0 18 24 45 -4.44089209850063e-16
+12 0 1 0 0 18 24 46 -4.44089209850063e-16
+12 0 1 0 0 18 24 47 -4.44089209850063e-16
+12 0 1 0 0 18 24 48 -4.44089209850063e-16
+12 0 1 0 0 18 24 49 -4.44089209850063e-16
+12 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -4.44089209850063e-16
+12 0 0 0 0 18 24 2 -4.44089209850063e-16
+12 0 0 0 0 18 24 4 -4.44089209850063e-16
+12 0 0 0 0 18 24 6 -4.44089209850063e-16
+12 0 0 0 0 18 24 8 -4.44089209850063e-16
+12 0 0 0 0 18 24 10 -4.44089209850063e-16
+12 0 0 0 0 18 24 12 -4.44089209850063e-16
+12 0 0 0 0 18 24 14 -4.44089209850063e-16
+12 0 0 0 0 18 24 16 -4.44089209850063e-16
+12 0 0 0 0 18 24 18 -4.44089209850063e-16
+12 0 0 0 0 18 24 20 -4.44089209850063e-16
+12 0 0 0 0 18 24 22 -4.44089209850063e-16
+12 0 0 0 0 18 24 24 -4.44089209850063e-16
+12 0 0 0 0 18 24 26 -4.44089209850063e-16
+12 0 0 0 0 18 24 28 -4.44089209850063e-16
+12 0 0 0 0 18 24 30 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 34 -4.44089209850063e-16
+12 0 0 0 0 18 24 36 -4.44089209850063e-16
+12 0 0 0 0 18 24 38 -4.44089209850063e-16
+12 0 0 0 0 18 24 40 -4.44089209850063e-16
+12 0 0 0 0 18 24 42 -4.44089209850063e-16
+12 0 0 0 0 18 24 44 -4.44089209850063e-16
+12 0 0 0 0 18 24 46 -4.44089209850063e-16
+12 0 0 0 0 18 24 48 -4.44089209850063e-16
+12 0 0 0 0 18 24 50 -4.44089209850063e-16
+12 0 0 0 0 18 24 52 -4.44089209850063e-16
+12 0 0 0 0 18 24 54 -4.44089209850063e-16
+12 0 0 0 0 18 24 56 -4.44089209850063e-16
+12 0 0 0 0 18 24 58 -4.44089209850063e-16
+12 0 0 0 0 18 24 60 -4.44089209850063e-16
+12 0 0 0 0 18 24 62 -4.44089209850063e-16
+12 0 0 0 0 18 24 64 -4.44089209850063e-16
+12 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl
new file mode 100644
index 000000000..fa9b8b7a7
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
+0 0 1 0 0 14 24 32 0
+0 0 1 0 0 15 24 32 0
+0 0 1 0 0 16 24 32 0
+0 0 1 0 0 17 24 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 19 24 32 0
+0 0 1 0 0 20 24 32 0
+0 0 1 0 0 21 24 32 0
+0 0 1 0 0 22 24 32 0
+0 0 1 0 0 23 24 32 0
+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# 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 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
+0 0 0 0 0 12 24 32 0
+0 0 0 0 0 14 24 32 0
+0 0 0 0 0 16 24 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 20 24 32 0
+0 0 0 0 0 22 24 32 0
+0 0 0 0 0 24 24 32 0
+0 0 0 0 0 26 24 32 0
+0 0 0 0 0 28 24 32 0
+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
+1 0 1 0 0 13 24 32 0
+1 0 1 0 0 14 24 32 0
+1 0 1 0 0 15 24 32 0
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+1 0 1 0 0 24 24 32 0
+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
+2 0 1 0 0 13 24 32 0
+2 0 1 0 0 14 24 32 0
+2 0 1 0 0 15 24 32 0
+2 0 1 0 0 16 24 32 0
+2 0 1 0 0 17 24 32 0
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+2 0 1 0 0 19 24 32 0
+2 0 1 0 0 20 24 32 0
+2 0 1 0 0 21 24 32 0
+2 0 1 0 0 22 24 32 0
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+2 0 1 0 0 24 24 32 0
+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# 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 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
+2 0 0 0 0 10 24 32 0
+2 0 0 0 0 12 24 32 0
+2 0 0 0 0 14 24 32 0
+2 0 0 0 0 16 24 32 0
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 20 24 32 0
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+2 0 0 0 0 24 24 32 0
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+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
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+3 0 1 0 0 11 24 32 0
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+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
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+4 0 1 0 0 27 24 32 0
+
+
+# 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 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
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+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
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+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
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+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# 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 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
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+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
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+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
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+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
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+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
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+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
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+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
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+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
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+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
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+12 0 0 0 0 36 24 32 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl
new file mode 100644
index 000000000..f6a4a5589
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 0
+0 0 1 0 0 18 14 32 0
+0 0 1 0 0 18 15 32 0
+0 0 1 0 0 18 16 32 0
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+0 0 1 0 0 18 37 32 0
+0 0 1 0 0 18 38 32 0
+
+
+# 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 18 0 32 0
+0 0 0 0 0 18 2 32 0
+0 0 0 0 0 18 4 32 0
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+0 0 0 0 0 18 50 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0
+1 0 1 0 0 18 14 32 0
+1 0 1 0 0 18 15 32 0
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+1 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0
+2 0 1 0 0 18 14 32 0
+2 0 1 0 0 18 15 32 0
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+2 0 1 0 0 18 37 32 0
+2 0 1 0 0 18 38 32 0
+
+
+# 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 18 0 32 0
+2 0 0 0 0 18 2 32 0
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+2 0 0 0 0 18 48 32 0
+2 0 0 0 0 18 50 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0
+3 0 1 0 0 18 14 32 0
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+3 0 1 0 0 18 37 32 0
+3 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0
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+4 0 1 0 0 18 36 32 0
+4 0 1 0 0 18 37 32 0
+4 0 1 0 0 18 38 32 0
+
+
+# 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 18 0 32 0
+4 0 0 0 0 18 2 32 0
+4 0 0 0 0 18 4 32 0
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+4 0 0 0 0 18 46 32 0
+4 0 0 0 0 18 48 32 0
+4 0 0 0 0 18 50 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0
+5 0 1 0 0 18 14 32 0
+5 0 1 0 0 18 15 32 0
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+5 0 1 0 0 18 37 32 0
+5 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0
+6 0 1 0 0 18 14 32 0
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+6 0 1 0 0 18 36 32 0
+6 0 1 0 0 18 37 32 0
+6 0 1 0 0 18 38 32 0
+
+
+# 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 18 0 32 0
+6 0 0 0 0 18 2 32 0
+6 0 0 0 0 18 4 32 0
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+6 0 0 0 0 18 44 32 0
+6 0 0 0 0 18 46 32 0
+6 0 0 0 0 18 48 32 0
+6 0 0 0 0 18 50 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0
+7 0 1 0 0 18 14 32 0
+7 0 1 0 0 18 15 32 0
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+7 0 1 0 0 18 35 32 0
+7 0 1 0 0 18 36 32 0
+7 0 1 0 0 18 37 32 0
+7 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0
+8 0 1 0 0 18 14 32 0
+8 0 1 0 0 18 15 32 0
+8 0 1 0 0 18 16 32 0
+8 0 1 0 0 18 17 32 0
+8 0 1 0 0 18 18 32 0
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+8 0 1 0 0 18 34 32 0
+8 0 1 0 0 18 35 32 0
+8 0 1 0 0 18 36 32 0
+8 0 1 0 0 18 37 32 0
+8 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0
+8 0 0 0 0 18 2 32 0
+8 0 0 0 0 18 4 32 0
+8 0 0 0 0 18 6 32 0
+8 0 0 0 0 18 8 32 0
+8 0 0 0 0 18 10 32 0
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+8 0 0 0 0 18 42 32 0
+8 0 0 0 0 18 44 32 0
+8 0 0 0 0 18 46 32 0
+8 0 0 0 0 18 48 32 0
+8 0 0 0 0 18 50 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0
+9 0 1 0 0 18 14 32 0
+9 0 1 0 0 18 15 32 0
+9 0 1 0 0 18 16 32 0
+9 0 1 0 0 18 17 32 0
+9 0 1 0 0 18 18 32 0
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+9 0 1 0 0 18 25 32 0
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+9 0 1 0 0 18 30 32 0
+9 0 1 0 0 18 31 32 0
+9 0 1 0 0 18 32 32 0
+9 0 1 0 0 18 33 32 0
+9 0 1 0 0 18 34 32 0
+9 0 1 0 0 18 35 32 0
+9 0 1 0 0 18 36 32 0
+9 0 1 0 0 18 37 32 0
+9 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0
+10 0 1 0 0 18 14 32 0
+10 0 1 0 0 18 15 32 0
+10 0 1 0 0 18 16 32 0
+10 0 1 0 0 18 17 32 0
+10 0 1 0 0 18 18 32 0
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+10 0 1 0 0 18 35 32 0
+10 0 1 0 0 18 36 32 0
+10 0 1 0 0 18 37 32 0
+10 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 0
+10 0 0 0 0 18 2 32 0
+10 0 0 0 0 18 4 32 0
+10 0 0 0 0 18 6 32 0
+10 0 0 0 0 18 8 32 0
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+10 0 0 0 0 18 40 32 0
+10 0 0 0 0 18 42 32 0
+10 0 0 0 0 18 44 32 0
+10 0 0 0 0 18 46 32 0
+10 0 0 0 0 18 48 32 0
+10 0 0 0 0 18 50 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0
+11 0 1 0 0 18 14 32 0
+11 0 1 0 0 18 15 32 0
+11 0 1 0 0 18 16 32 0
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+11 0 1 0 0 18 35 32 0
+11 0 1 0 0 18 36 32 0
+11 0 1 0 0 18 37 32 0
+11 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0
+12 0 1 0 0 18 14 32 0
+12 0 1 0 0 18 15 32 0
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+12 0 1 0 0 18 35 32 0
+12 0 1 0 0 18 36 32 0
+12 0 1 0 0 18 37 32 0
+12 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0
+12 0 0 0 0 18 2 32 0
+12 0 0 0 0 18 4 32 0
+12 0 0 0 0 18 6 32 0
+12 0 0 0 0 18 8 32 0
+12 0 0 0 0 18 10 32 0
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+12 0 0 0 0 18 28 32 0
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+12 0 0 0 0 18 38 32 0
+12 0 0 0 0 18 40 32 0
+12 0 0 0 0 18 42 32 0
+12 0 0 0 0 18 44 32 0
+12 0 0 0 0 18 46 32 0
+12 0 0 0 0 18 48 32 0
+12 0 0 0 0 18 50 32 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl
new file mode 100644
index 000000000..a1ef57457
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.5
+0 0 1 0 0 18 24 18 -4.2
+0 0 1 0 0 18 24 19 -3.9
+0 0 1 0 0 18 24 20 -3.6
+0 0 1 0 0 18 24 21 -3.3
+0 0 1 0 0 18 24 22 -3
+0 0 1 0 0 18 24 23 -2.7
+0 0 1 0 0 18 24 24 -2.4
+0 0 1 0 0 18 24 25 -2.1
+0 0 1 0 0 18 24 26 -1.8
+0 0 1 0 0 18 24 27 -1.5
+0 0 1 0 0 18 24 28 -1.2
+0 0 1 0 0 18 24 29 -0.9
+0 0 1 0 0 18 24 30 -0.6
+0 0 1 0 0 18 24 31 -0.3
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# 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 18 24 0 -9.6
+0 0 0 0 0 18 24 2 -9
+0 0 0 0 0 18 24 4 -8.4
+0 0 0 0 0 18 24 6 -7.8
+0 0 0 0 0 18 24 8 -7.2
+0 0 0 0 0 18 24 10 -6.6
+0 0 0 0 0 18 24 12 -6
+0 0 0 0 0 18 24 14 -5.4
+0 0 0 0 0 18 24 16 -4.8
+0 0 0 0 0 18 24 18 -4.2
+0 0 0 0 0 18 24 20 -3.6
+0 0 0 0 0 18 24 22 -3
+0 0 0 0 0 18 24 24 -2.4
+0 0 0 0 0 18 24 26 -1.8
+0 0 0 0 0 18 24 28 -1.2
+0 0 0 0 0 18 24 30 -0.6
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.5
+1 0 1 0 0 18 24 18 -4.2
+1 0 1 0 0 18 24 19 -3.9
+1 0 1 0 0 18 24 20 -3.6
+1 0 1 0 0 18 24 21 -3.3
+1 0 1 0 0 18 24 22 -3
+1 0 1 0 0 18 24 23 -2.7
+1 0 1 0 0 18 24 24 -2.4
+1 0 1 0 0 18 24 25 -2.1
+1 0 1 0 0 18 24 26 -1.8
+1 0 1 0 0 18 24 27 -1.5
+1 0 1 0 0 18 24 28 -1.2
+1 0 1 0 0 18 24 29 -0.9
+1 0 1 0 0 18 24 30 -0.6
+1 0 1 0 0 18 24 31 -0.3
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.5
+2 0 1 0 0 18 24 18 -4.2
+2 0 1 0 0 18 24 19 -3.9
+2 0 1 0 0 18 24 20 -3.6
+2 0 1 0 0 18 24 21 -3.3
+2 0 1 0 0 18 24 22 -3
+2 0 1 0 0 18 24 23 -2.7
+2 0 1 0 0 18 24 24 -2.4
+2 0 1 0 0 18 24 25 -2.1
+2 0 1 0 0 18 24 26 -1.8
+2 0 1 0 0 18 24 27 -1.5
+2 0 1 0 0 18 24 28 -1.2
+2 0 1 0 0 18 24 29 -0.9
+2 0 1 0 0 18 24 30 -0.6
+2 0 1 0 0 18 24 31 -0.3
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 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 18 24 0 -9.6
+2 0 0 0 0 18 24 2 -9
+2 0 0 0 0 18 24 4 -8.4
+2 0 0 0 0 18 24 6 -7.8
+2 0 0 0 0 18 24 8 -7.2
+2 0 0 0 0 18 24 10 -6.6
+2 0 0 0 0 18 24 12 -6
+2 0 0 0 0 18 24 14 -5.4
+2 0 0 0 0 18 24 16 -4.8
+2 0 0 0 0 18 24 18 -4.2
+2 0 0 0 0 18 24 20 -3.6
+2 0 0 0 0 18 24 22 -3
+2 0 0 0 0 18 24 24 -2.4
+2 0 0 0 0 18 24 26 -1.8
+2 0 0 0 0 18 24 28 -1.2
+2 0 0 0 0 18 24 30 -0.6
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.5
+3 0 1 0 0 18 24 18 -4.2
+3 0 1 0 0 18 24 19 -3.9
+3 0 1 0 0 18 24 20 -3.6
+3 0 1 0 0 18 24 21 -3.3
+3 0 1 0 0 18 24 22 -3
+3 0 1 0 0 18 24 23 -2.7
+3 0 1 0 0 18 24 24 -2.4
+3 0 1 0 0 18 24 25 -2.1
+3 0 1 0 0 18 24 26 -1.8
+3 0 1 0 0 18 24 27 -1.5
+3 0 1 0 0 18 24 28 -1.2
+3 0 1 0 0 18 24 29 -0.9
+3 0 1 0 0 18 24 30 -0.6
+3 0 1 0 0 18 24 31 -0.3
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.5
+4 0 1 0 0 18 24 18 -4.2
+4 0 1 0 0 18 24 19 -3.9
+4 0 1 0 0 18 24 20 -3.6
+4 0 1 0 0 18 24 21 -3.3
+4 0 1 0 0 18 24 22 -3
+4 0 1 0 0 18 24 23 -2.7
+4 0 1 0 0 18 24 24 -2.4
+4 0 1 0 0 18 24 25 -2.1
+4 0 1 0 0 18 24 26 -1.8
+4 0 1 0 0 18 24 27 -1.5
+4 0 1 0 0 18 24 28 -1.2
+4 0 1 0 0 18 24 29 -0.9
+4 0 1 0 0 18 24 30 -0.6
+4 0 1 0 0 18 24 31 -0.3
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 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 18 24 0 -9.6
+4 0 0 0 0 18 24 2 -9
+4 0 0 0 0 18 24 4 -8.4
+4 0 0 0 0 18 24 6 -7.8
+4 0 0 0 0 18 24 8 -7.2
+4 0 0 0 0 18 24 10 -6.6
+4 0 0 0 0 18 24 12 -6
+4 0 0 0 0 18 24 14 -5.4
+4 0 0 0 0 18 24 16 -4.8
+4 0 0 0 0 18 24 18 -4.2
+4 0 0 0 0 18 24 20 -3.6
+4 0 0 0 0 18 24 22 -3
+4 0 0 0 0 18 24 24 -2.4
+4 0 0 0 0 18 24 26 -1.8
+4 0 0 0 0 18 24 28 -1.2
+4 0 0 0 0 18 24 30 -0.6
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.5
+5 0 1 0 0 18 24 18 -4.2
+5 0 1 0 0 18 24 19 -3.9
+5 0 1 0 0 18 24 20 -3.6
+5 0 1 0 0 18 24 21 -3.3
+5 0 1 0 0 18 24 22 -3
+5 0 1 0 0 18 24 23 -2.7
+5 0 1 0 0 18 24 24 -2.4
+5 0 1 0 0 18 24 25 -2.1
+5 0 1 0 0 18 24 26 -1.8
+5 0 1 0 0 18 24 27 -1.5
+5 0 1 0 0 18 24 28 -1.2
+5 0 1 0 0 18 24 29 -0.9
+5 0 1 0 0 18 24 30 -0.6
+5 0 1 0 0 18 24 31 -0.3
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
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+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.5
+6 0 1 0 0 18 24 18 -4.2
+6 0 1 0 0 18 24 19 -3.9
+6 0 1 0 0 18 24 20 -3.6
+6 0 1 0 0 18 24 21 -3.3
+6 0 1 0 0 18 24 22 -3
+6 0 1 0 0 18 24 23 -2.7
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+6 0 1 0 0 18 24 25 -2.1
+6 0 1 0 0 18 24 26 -1.8
+6 0 1 0 0 18 24 27 -1.5
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+6 0 1 0 0 18 24 30 -0.6
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+6 0 1 0 0 18 24 32 0
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+6 0 1 0 0 18 24 34 0.6
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+6 0 1 0 0 18 24 38 1.8
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+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
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+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 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 18 24 0 -9.6
+6 0 0 0 0 18 24 2 -9
+6 0 0 0 0 18 24 4 -8.4
+6 0 0 0 0 18 24 6 -7.8
+6 0 0 0 0 18 24 8 -7.2
+6 0 0 0 0 18 24 10 -6.6
+6 0 0 0 0 18 24 12 -6
+6 0 0 0 0 18 24 14 -5.4
+6 0 0 0 0 18 24 16 -4.8
+6 0 0 0 0 18 24 18 -4.2
+6 0 0 0 0 18 24 20 -3.6
+6 0 0 0 0 18 24 22 -3
+6 0 0 0 0 18 24 24 -2.4
+6 0 0 0 0 18 24 26 -1.8
+6 0 0 0 0 18 24 28 -1.2
+6 0 0 0 0 18 24 30 -0.6
+6 0 0 0 0 18 24 32 0
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+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
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+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
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+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.5
+7 0 1 0 0 18 24 18 -4.2
+7 0 1 0 0 18 24 19 -3.9
+7 0 1 0 0 18 24 20 -3.6
+7 0 1 0 0 18 24 21 -3.3
+7 0 1 0 0 18 24 22 -3
+7 0 1 0 0 18 24 23 -2.7
+7 0 1 0 0 18 24 24 -2.4
+7 0 1 0 0 18 24 25 -2.1
+7 0 1 0 0 18 24 26 -1.8
+7 0 1 0 0 18 24 27 -1.5
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+7 0 1 0 0 18 24 29 -0.9
+7 0 1 0 0 18 24 30 -0.6
+7 0 1 0 0 18 24 31 -0.3
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.5
+8 0 1 0 0 18 24 18 -4.2
+8 0 1 0 0 18 24 19 -3.9
+8 0 1 0 0 18 24 20 -3.6
+8 0 1 0 0 18 24 21 -3.3
+8 0 1 0 0 18 24 22 -3
+8 0 1 0 0 18 24 23 -2.7
+8 0 1 0 0 18 24 24 -2.4
+8 0 1 0 0 18 24 25 -2.1
+8 0 1 0 0 18 24 26 -1.8
+8 0 1 0 0 18 24 27 -1.5
+8 0 1 0 0 18 24 28 -1.2
+8 0 1 0 0 18 24 29 -0.9
+8 0 1 0 0 18 24 30 -0.6
+8 0 1 0 0 18 24 31 -0.3
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -9.6
+8 0 0 0 0 18 24 2 -9
+8 0 0 0 0 18 24 4 -8.4
+8 0 0 0 0 18 24 6 -7.8
+8 0 0 0 0 18 24 8 -7.2
+8 0 0 0 0 18 24 10 -6.6
+8 0 0 0 0 18 24 12 -6
+8 0 0 0 0 18 24 14 -5.4
+8 0 0 0 0 18 24 16 -4.8
+8 0 0 0 0 18 24 18 -4.2
+8 0 0 0 0 18 24 20 -3.6
+8 0 0 0 0 18 24 22 -3
+8 0 0 0 0 18 24 24 -2.4
+8 0 0 0 0 18 24 26 -1.8
+8 0 0 0 0 18 24 28 -1.2
+8 0 0 0 0 18 24 30 -0.6
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
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+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.5
+9 0 1 0 0 18 24 18 -4.2
+9 0 1 0 0 18 24 19 -3.9
+9 0 1 0 0 18 24 20 -3.6
+9 0 1 0 0 18 24 21 -3.3
+9 0 1 0 0 18 24 22 -3
+9 0 1 0 0 18 24 23 -2.7
+9 0 1 0 0 18 24 24 -2.4
+9 0 1 0 0 18 24 25 -2.1
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+9 0 1 0 0 18 24 30 -0.6
+9 0 1 0 0 18 24 31 -0.3
+9 0 1 0 0 18 24 32 0
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+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.5
+10 0 1 0 0 18 24 18 -4.2
+10 0 1 0 0 18 24 19 -3.9
+10 0 1 0 0 18 24 20 -3.6
+10 0 1 0 0 18 24 21 -3.3
+10 0 1 0 0 18 24 22 -3
+10 0 1 0 0 18 24 23 -2.7
+10 0 1 0 0 18 24 24 -2.4
+10 0 1 0 0 18 24 25 -2.1
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+10 0 1 0 0 18 24 27 -1.5
+10 0 1 0 0 18 24 28 -1.2
+10 0 1 0 0 18 24 29 -0.9
+10 0 1 0 0 18 24 30 -0.6
+10 0 1 0 0 18 24 31 -0.3
+10 0 1 0 0 18 24 32 0
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+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
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+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
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+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
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+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -9.6
+10 0 0 0 0 18 24 2 -9
+10 0 0 0 0 18 24 4 -8.4
+10 0 0 0 0 18 24 6 -7.8
+10 0 0 0 0 18 24 8 -7.2
+10 0 0 0 0 18 24 10 -6.6
+10 0 0 0 0 18 24 12 -6
+10 0 0 0 0 18 24 14 -5.4
+10 0 0 0 0 18 24 16 -4.8
+10 0 0 0 0 18 24 18 -4.2
+10 0 0 0 0 18 24 20 -3.6
+10 0 0 0 0 18 24 22 -3
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+10 0 0 0 0 18 24 26 -1.8
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+10 0 0 0 0 18 24 30 -0.6
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+10 0 0 0 0 18 24 52 6
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+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.5
+11 0 1 0 0 18 24 18 -4.2
+11 0 1 0 0 18 24 19 -3.9
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+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.5
+12 0 1 0 0 18 24 18 -4.2
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+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -9.6
+12 0 0 0 0 18 24 2 -9
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+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl
new file mode 100644
index 000000000..d7d25bdc2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl
@@ -0,0 +1,482 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374949
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# 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 24 32 -0.809016994374946
+0 0 0 0 0 2 24 32 -0.978147600733805
+0 0 0 0 0 4 24 32 -0.978147600733805
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+0 0 0 0 0 8 24 32 -0.499999999999998
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+0 0 0 0 0 18 24 32 1
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+0 0 0 0 0 28 24 32 -0.499999999999998
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+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733805
+0 0 0 0 0 36 24 32 -0.809016994374946
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.151261786279002
+1 0 1 0 0 10 24 32 0.0574322048464631
+1 0 1 0 0 11 24 32 0.265894777810503
+1 0 1 0 0 12 24 32 0.460517568676976
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+1 0 1 0 0 16 24 32 0.967822368816891
+1 0 1 0 0 17 24 32 0.999013578429243
+1 0 1 0 0 18 24 32 0.986543100865224
+1 0 1 0 0 19 24 32 0.930955955834372
+1 0 1 0 0 20 24 32 0.834681568311252
+1 0 1 0 0 21 24 32 0.70192759100639
+1 0 1 0 0 22 24 32 0.538496009752269
+1 0 1 0 0 23 24 32 0.35152956888143
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+1 0 1 0 0 25 24 32 -0.0596511092490056
+1 0 1 0 0 26 24 32 -0.263723767809526
+1 0 1 0 0 27 24 32 -0.458163317028104
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0145114768391913
+2 0 1 0 0 10 24 32 0.222181380226812
+2 0 1 0 0 11 24 32 0.419542714680454
+2 0 1 0 0 12 24 32 0.599611026780361
+2 0 1 0 0 13 24 32 0.752918733656398
+2 0 1 0 0 14 24 32 0.873320278966721
+2 0 1 0 0 15 24 32 0.955553537430554
+2 0 1 0 0 16 24 32 0.996024521054073
+2 0 1 0 0 17 24 32 0.992964453651605
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+2 0 1 0 0 22 24 32 0.393353426871245
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+2 0 1 0 0 25 24 32 -0.221680828268263
+2 0 1 0 0 26 24 32 -0.420130565085166
+2 0 1 0 0 27 24 32 -0.599291584659013
+
+
+# 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 24 32 -0.955842350449065
+2 0 0 0 0 2 24 32 -0.993315939157588
+2 0 0 0 0 4 24 32 -0.85903617799375
+2 0 0 0 0 6 24 32 -0.576221257556116
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+2 0 0 0 0 10 24 32 0.222181380226812
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+2 0 0 0 0 22 24 32 0.393353426871245
+2 0 0 0 0 24 24 32 -0.0146374839292919
+2 0 0 0 0 26 24 32 -0.420130565085166
+2 0 0 0 0 28 24 32 -0.753094935792752
+2 0 0 0 0 30 24 32 -0.955842350449065
+2 0 0 0 0 32 24 32 -0.993315939157588
+2 0 0 0 0 34 24 32 -0.85903617799375
+2 0 0 0 0 36 24 32 -0.576221257556116
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.175589529642126
+3 0 1 0 0 10 24 32 0.376635566938486
+3 0 1 0 0 11 24 32 0.562142124741235
+3 0 1 0 0 12 24 32 0.722411275954512
+3 0 1 0 0 13 24 32 0.850539041001416
+3 0 1 0 0 14 24 32 0.941355487092263
+3 0 1 0 0 15 24 32 0.991030181272384
+3 0 1 0 0 16 24 32 0.997392101040478
+3 0 1 0 0 17 24 32 0.960163199974803
+3 0 1 0 0 18 24 32 0.880970559696016
+3 0 1 0 0 19 24 32 0.763275278592748
+3 0 1 0 0 20 24 32 0.612221205213832
+3 0 1 0 0 21 24 32 0.434410127403789
+3 0 1 0 0 22 24 32 0.237613242495134
+3 0 1 0 0 23 24 32 0.0304315186946015
+3 0 1 0 0 24 24 32 -0.177944520374452
+3 0 1 0 0 25 24 32 -0.377983838557152
+3 0 1 0 0 26 24 32 -0.561130717710635
+3 0 1 0 0 27 24 32 -0.720553132302205
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.336269996655584
+4 0 1 0 0 10 24 32 0.52515593029312
+4 0 1 0 0 11 24 32 0.689402564635564
+4 0 1 0 0 12 24 32 0.825604892736423
+4 0 1 0 0 13 24 32 0.925209728719011
+4 0 1 0 0 14 24 32 0.984028998494406
+4 0 1 0 0 15 24 32 0.999806808759285
+4 0 1 0 0 16 24 32 0.971888263876029
+4 0 1 0 0 17 24 32 0.901493538224079
+4 0 1 0 0 18 24 32 0.791699219105795
+4 0 1 0 0 19 24 32 0.647303845118242
+4 0 1 0 0 20 24 32 0.474618186990557
+4 0 1 0 0 21 24 32 0.281189436620642
+4 0 1 0 0 22 24 32 0.0754713585737853
+4 0 1 0 0 23 24 32 -0.133511257963239
+4 0 1 0 0 24 24 32 -0.336310514356458
+4 0 1 0 0 25 24 32 -0.523951477295099
+4 0 1 0 0 26 24 32 -0.69093027148058
+4 0 1 0 0 27 24 32 -0.8258387304782
+
+
+# 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 24 32 -1.00067162789428
+4 0 0 0 0 2 24 32 -0.902489465166893
+4 0 0 0 0 4 24 32 -0.648258675052749
+4 0 0 0 0 6 24 32 -0.281938070776809
+4 0 0 0 0 8 24 32 0.133132187263405
+4 0 0 0 0 10 24 32 0.52515593029312
+4 0 0 0 0 12 24 32 0.825604892736423
+4 0 0 0 0 14 24 32 0.984028998494406
+4 0 0 0 0 16 24 32 0.971888263876029
+4 0 0 0 0 18 24 32 0.791699219105795
+4 0 0 0 0 20 24 32 0.474618186990557
+4 0 0 0 0 22 24 32 0.0754713585737853
+4 0 0 0 0 24 24 32 -0.336310514356458
+4 0 0 0 0 26 24 32 -0.69093027148058
+4 0 0 0 0 28 24 32 -0.925828575342397
+4 0 0 0 0 30 24 32 -1.00067162789428
+4 0 0 0 0 32 24 32 -0.902489465166893
+4 0 0 0 0 34 24 32 -0.648258675052749
+4 0 0 0 0 36 24 32 -0.281938070776809
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.483698896184605
+5 0 1 0 0 10 24 32 0.655556578256676
+5 0 1 0 0 11 24 32 0.798563147594617
+5 0 1 0 0 12 24 32 0.906419250880465
+5 0 1 0 0 13 24 32 0.974865967324973
+5 0 1 0 0 14 24 32 1.0001824495606
+5 0 1 0 0 15 24 32 0.981646962816721
+5 0 1 0 0 16 24 32 0.920200125737682
+5 0 1 0 0 17 24 32 0.818536127553799
+5 0 1 0 0 18 24 32 0.681098172823695
+5 0 1 0 0 19 24 32 0.513892959669554
+5 0 1 0 0 20 24 32 0.324228158245842
+5 0 1 0 0 21 24 32 0.120393030487469
+5 0 1 0 0 22 24 32 -0.0886953699052475
+5 0 1 0 0 23 24 32 -0.293768198986231
+5 0 1 0 0 24 24 32 -0.485482570689259
+5 0 1 0 0 25 24 32 -0.656299384752529
+5 0 1 0 0 26 24 32 -0.798658440092609
+5 0 1 0 0 27 24 32 -0.906090957739124
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.622087331796265
+6 0 1 0 0 10 24 32 0.771899474840499
+6 0 1 0 0 11 24 32 0.886091798424279
+6 0 1 0 0 12 24 32 0.962850294055855
+6 0 1 0 0 13 24 32 0.998124653436906
+6 0 1 0 0 14 24 32 0.989354412456409
+6 0 1 0 0 15 24 32 0.937037733273691
+6 0 1 0 0 16 24 32 0.843720251816416
+6 0 1 0 0 17 24 32 0.713525979836978
+6 0 1 0 0 18 24 32 0.552147198661139
+6 0 1 0 0 19 24 32 0.366636935407593
+6 0 1 0 0 20 24 32 0.165102878757525
+6 0 1 0 0 21 24 32 -0.0436448458188034
+6 0 1 0 0 22 24 32 -0.250437269526555
+6 0 1 0 0 23 24 32 -0.445975258983977
+6 0 1 0 0 24 24 32 -0.621636683578075
+6 0 1 0 0 25 24 32 -0.770971053775322
+6 0 1 0 0 26 24 32 -0.887938818980852
+6 0 1 0 0 27 24 32 -0.964273070608217
+
+
+# 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 24 32 -0.93872118168269
+6 0 0 0 0 2 24 32 -0.715360095193742
+6 0 0 0 0 4 24 32 -0.368306749403354
+6 0 0 0 0 6 24 32 0.0424301793206506
+6 0 0 0 0 8 24 32 0.44582385698286
+6 0 0 0 0 10 24 32 0.771899474840499
+6 0 0 0 0 12 24 32 0.962850294055855
+6 0 0 0 0 14 24 32 0.989354412456409
+6 0 0 0 0 16 24 32 0.843720251816416
+6 0 0 0 0 18 24 32 0.552147198661139
+6 0 0 0 0 20 24 32 0.165102878757525
+6 0 0 0 0 22 24 32 -0.250437269526555
+6 0 0 0 0 24 24 32 -0.621636683578075
+6 0 0 0 0 26 24 32 -0.887938818980852
+6 0 0 0 0 28 24 32 -0.999776077908319
+6 0 0 0 0 30 24 32 -0.93872118168269
+6 0 0 0 0 32 24 32 -0.715360095193742
+6 0 0 0 0 34 24 32 -0.368306749403354
+6 0 0 0 0 36 24 32 0.0424301793206506
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.740048402263257
+7 0 1 0 0 10 24 32 0.864228003196929
+7 0 1 0 0 11 24 32 0.950017686016362
+7 0 1 0 0 12 24 32 0.993475806391951
+7 0 1 0 0 13 24 32 0.994382512929133
+7 0 1 0 0 14 24 32 0.951794221135042
+7 0 1 0 0 15 24 32 0.867171171506628
+7 0 1 0 0 16 24 32 0.744508596549102
+7 0 1 0 0 17 24 32 0.589292244694338
+7 0 1 0 0 18 24 32 0.408320452283802
+7 0 1 0 0 19 24 32 0.209503096769549
+7 0 1 0 0 20 24 32 0.00152998065080954
+7 0 1 0 0 21 24 32 -0.206494794503942
+7 0 1 0 0 22 24 32 -0.405353110557225
+7 0 1 0 0 23 24 32 -0.586064996035217
+7 0 1 0 0 24 24 32 -0.74124811580924
+7 0 1 0 0 25 24 32 -0.865151523905914
+7 0 1 0 0 26 24 32 -0.950824365797891
+7 0 1 0 0 27 24 32 -0.99488998143185
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.841286346823827
+8 0 1 0 0 10 24 32 0.935861035608521
+8 0 1 0 0 11 24 32 0.988088484522906
+8 0 1 0 0 12 24 32 0.997545319172963
+8 0 1 0 0 13 24 32 0.963837390418313
+8 0 1 0 0 14 24 32 0.888480649298602
+8 0 1 0 0 15 24 32 0.773906414960799
+8 0 1 0 0 16 24 32 0.625234829541976
+8 0 1 0 0 17 24 32 0.449181852024121
+8 0 1 0 0 18 24 32 0.25349286762722
+8 0 1 0 0 19 24 32 0.0467250255980308
+8 0 1 0 0 20 24 32 -0.162080308260989
+8 0 1 0 0 21 24 32 -0.363745566066973
+8 0 1 0 0 22 24 32 -0.549238616544198
+8 0 1 0 0 23 24 32 -0.71038732810691
+8 0 1 0 0 24 24 32 -0.841169483901834
+8 0 1 0 0 25 24 32 -0.935847668199378
+8 0 1 0 0 26 24 32 -0.989964094659531
+8 0 1 0 0 27 24 32 -0.999693913791296
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.776603430985959
+8 0 0 0 0 2 24 32 -0.451896040444297
+8 0 0 0 0 4 24 32 -0.0490535266791296
+8 0 0 0 0 6 24 32 0.362269115588366
+8 0 0 0 0 8 24 32 0.710884763618395
+8 0 0 0 0 10 24 32 0.935861035608521
+8 0 0 0 0 12 24 32 0.997545319172963
+8 0 0 0 0 14 24 32 0.888480649298602
+8 0 0 0 0 16 24 32 0.625234829541976
+8 0 0 0 0 18 24 32 0.25349286762722
+8 0 0 0 0 20 24 32 -0.162080308260989
+8 0 0 0 0 22 24 32 -0.549238616544198
+8 0 0 0 0 24 24 32 -0.841169483901834
+8 0 0 0 0 26 24 32 -0.989964094659531
+8 0 0 0 0 28 24 32 -0.967033972064534
+8 0 0 0 0 30 24 32 -0.776603430985959
+8 0 0 0 0 32 24 32 -0.451896040444297
+8 0 0 0 0 34 24 32 -0.0490535266791296
+8 0 0 0 0 36 24 32 0.362269115588366
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.91709871291978
+9 0 1 0 0 10 24 32 0.980254744851459
+9 0 1 0 0 11 24 32 0.999572739949173
+9 0 1 0 0 12 24 32 0.974842626639542
+9 0 1 0 0 13 24 32 0.907444003928918
+9 0 1 0 0 14 24 32 0.801132223043735
+9 0 1 0 0 15 24 32 0.659722471936845
+9 0 1 0 0 16 24 32 0.489102238416146
+9 0 1 0 0 17 24 32 0.296968593766186
+9 0 1 0 0 18 24 32 0.0918357589423476
+9 0 1 0 0 19 24 32 -0.117310735351214
+9 0 1 0 0 20 24 32 -0.321309658333099
+9 0 1 0 0 21 24 32 -0.511127151704618
+9 0 1 0 0 22 24 32 -0.678242499203981
+9 0 1 0 0 23 24 32 -0.815746830761705
+9 0 1 0 0 24 24 32 -0.918581402659386
+9 0 1 0 0 25 24 32 -0.981331148085576
+9 0 1 0 0 26 24 32 -1.00131115228635
+9 0 1 0 0 27 24 32 -0.977330750657362
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.970364129522502
+10 0 1 0 0 10 24 32 0.999590406667015
+10 0 1 0 0 11 24 32 0.98395818838509
+10 0 1 0 0 12 24 32 0.925847718564605
+10 0 1 0 0 13 24 32 0.82679155562301
+10 0 1 0 0 14 24 32 0.692179488376387
+10 0 1 0 0 15 24 32 0.527669834439484
+10 0 1 0 0 16 24 32 0.339757981202273
+10 0 1 0 0 17 24 32 0.136749432778823
+10 0 1 0 0 18 24 32 -0.0722955569145528
+10 0 1 0 0 19 24 32 -0.278180780923943
+10 0 1 0 0 20 24 32 -0.47184754142224
+10 0 1 0 0 21 24 32 -0.644647578297847
+10 0 1 0 0 22 24 32 -0.788984803126766
+10 0 1 0 0 23 24 32 -0.899373708098743
+10 0 1 0 0 24 24 32 -0.97123383785631
+10 0 1 0 0 25 24 32 -1.00032620391531
+10 0 1 0 0 26 24 32 -0.986214489771477
+10 0 1 0 0 27 24 32 -0.928253212023151
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.531617072978908
+10 0 0 0 0 2 24 32 -0.140211489787219
+10 0 0 0 0 4 24 32 0.275433684520453
+10 0 0 0 0 6 24 32 0.643434175685613
+10 0 0 0 0 8 24 32 0.899908303851745
+10 0 0 0 0 10 24 32 0.999590406667015
+10 0 0 0 0 12 24 32 0.925847718564605
+10 0 0 0 0 14 24 32 0.692179488376387
+10 0 0 0 0 16 24 32 0.339757981202273
+10 0 0 0 0 18 24 32 -0.0722955569145528
+10 0 0 0 0 20 24 32 -0.47184754142224
+10 0 0 0 0 22 24 32 -0.788984803126766
+10 0 0 0 0 24 24 32 -0.97123383785631
+10 0 0 0 0 26 24 32 -0.986214489771477
+10 0 0 0 0 28 24 32 -0.831028686539359
+10 0 0 0 0 30 24 32 -0.531617072978908
+10 0 0 0 0 32 24 32 -0.140211489787219
+10 0 0 0 0 34 24 32 0.275433684520453
+10 0 0 0 0 36 24 32 0.643434175685613
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.996005196761483
+11 0 1 0 0 10 24 32 0.991400974398205
+11 0 1 0 0 11 24 32 0.941888204443525
+11 0 1 0 0 12 24 32 0.851768094189307
+11 0 1 0 0 13 24 32 0.724006655314097
+11 0 1 0 0 14 24 32 0.564668679132419
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+11 0 1 0 0 16 24 32 0.181198070161045
+11 0 1 0 0 17 24 32 -0.0271689787587148
+11 0 1 0 0 18 24 32 -0.234479078787099
+11 0 1 0 0 19 24 32 -0.431540957966372
+11 0 1 0 0 20 24 32 -0.609611987742274
+11 0 1 0 0 21 24 32 -0.760729544863711
+11 0 1 0 0 22 24 32 -0.878604996814181
+11 0 1 0 0 23 24 32 -0.95895238234286
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+11 0 1 0 0 25 24 32 -0.992430736453481
+11 0 1 0 0 26 24 32 -0.944909456143948
+11 0 1 0 0 27 24 32 -0.855398422863892
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.995673415442478
+12 0 1 0 0 10 24 32 0.95650879693069
+12 0 1 0 0 11 24 32 0.874509673312311
+12 0 1 0 0 12 24 32 0.754619067746618
+12 0 1 0 0 13 24 32 0.601724281559327
+12 0 1 0 0 14 24 32 0.422110615761253
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+12 0 1 0 0 16 24 32 0.0176740541939568
+12 0 1 0 0 17 24 32 -0.190388082494485
+12 0 1 0 0 18 24 32 -0.390345270346837
+12 0 1 0 0 19 24 32 -0.573242148229137
+12 0 1 0 0 20 24 32 -0.730875479798783
+12 0 1 0 0 21 24 32 -0.856318296376195
+12 0 1 0 0 22 24 32 -0.944766199136314
+12 0 1 0 0 23 24 32 -0.9927417923288
+12 0 1 0 0 24 24 32 -0.997056844590064
+12 0 1 0 0 25 24 32 -0.95799221764717
+12 0 1 0 0 26 24 32 -0.877317601727418
+12 0 1 0 0 27 24 32 -0.757753786592358
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.229884753786092
+12 0 0 0 0 2 24 32 0.186433693998438
+12 0 0 0 0 4 24 32 0.570524978598731
+12 0 0 0 0 6 24 32 0.855871938869183
+12 0 0 0 0 8 24 32 0.992606952756489
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+12 0 0 0 0 12 24 32 0.754619067746618
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+12 0 0 0 0 18 24 32 -0.390345270346837
+12 0 0 0 0 20 24 32 -0.730875479798783
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+12 0 0 0 0 24 24 32 -0.997056844590064
+12 0 0 0 0 26 24 32 -0.877317601727418
+12 0 0 0 0 28 24 32 -0.606212595575405
+12 0 0 0 0 30 24 32 -0.229884753786092
+12 0 0 0 0 32 24 32 0.186433693998438
+12 0 0 0 0 34 24 32 0.570524978598731
+12 0 0 0 0 36 24 32 0.855871938869183
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl
new file mode 100644
index 000000000..0bbc40b4f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl
@@ -0,0 +1,622 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.60170638573454e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
+0 0 1 0 0 18 19 32 0.755749574354257
+0 0 1 0 0 18 20 32 0.84125353283118
+0 0 1 0 0 18 21 32 0.909631995354518
+0 0 1 0 0 18 22 32 0.959492973614497
+0 0 1 0 0 18 23 32 0.989821441880933
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -4.82375099065957e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# 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 18 0 32 -0.9594929736145
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
+0 0 0 0 0 18 12 32 -0.14231483827329
+0 0 0 0 0 18 14 32 0.142314838273281
+0 0 0 0 0 18 16 32 0.415415013001883
+0 0 0 0 0 18 18 32 0.654860733945283
+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 26 32 0.959492973614497
+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
+0 0 0 0 0 18 36 32 -0.142314838273291
+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.9594929736145
+0 0 0 0 0 18 50 32 -0.841253532831185
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.161437487892663
+1 0 1 0 0 18 14 32 0.300251365192283
+1 0 1 0 0 18 15 32 0.434981086176293
+1 0 1 0 0 18 16 32 0.55870386751228
+1 0 1 0 0 18 17 32 0.671053049274623
+1 0 1 0 0 18 18 32 0.769741526110928
+1 0 1 0 0 18 19 32 0.852760285226874
+1 0 1 0 0 18 20 32 0.918419304093192
+1 0 1 0 0 18 21 32 0.965381954430738
+1 0 1 0 0 18 22 32 0.992692212107739
+1 0 1 0 0 18 23 32 0.999794119034172
+1 0 1 0 0 18 24 32 0.986543100865224
+1 0 1 0 0 18 25 32 0.953208910118032
+1 0 1 0 0 18 26 32 0.900470134788341
+1 0 1 0 0 18 27 32 0.829400384255796
+1 0 1 0 0 18 28 32 0.741446433693002
+1 0 1 0 0 18 29 32 0.638398771895169
+1 0 1 0 0 18 30 32 0.522355152091583
+1 0 1 0 0 18 31 32 0.395677887739281
+1 0 1 0 0 18 32 32 0.26094576263341
+1 0 1 0 0 18 33 32 0.120901534305763
+1 0 1 0 0 18 34 32 -0.0216039006091158
+1 0 1 0 0 18 35 32 -0.163669542408098
+1 0 1 0 0 18 36 32 -0.302403344307635
+1 0 1 0 0 18 37 32 -0.432860932955646
+1 0 1 0 0 18 38 32 -0.556791436869841
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.32287497578533
+2 0 1 0 0 18 14 32 0.454391357194266
+2 0 1 0 0 18 15 32 0.575972500230787
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+2 0 1 0 0 18 31 32 0.240054731650892
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+2 0 1 0 0 18 36 32 -0.453814558409856
+2 0 1 0 0 18 37 32 -0.576518323741326
+2 0 1 0 0 18 38 32 -0.687085828666847
+
+
+# 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 18 0 32 -0.999491083590665
+2 0 0 0 0 18 2 32 -0.946867382673997
+2 0 0 0 0 18 4 32 -0.817534117650241
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+2 0 0 0 0 18 22 32 0.999146656345919
+2 0 0 0 0 18 24 32 0.94650707485247
+2 0 0 0 0 18 26 32 0.817187119248793
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+2 0 0 0 0 18 32 32 0.0994461954676064
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+2 0 0 0 0 18 48 32 -0.817534117650241
+2 0 0 0 0 18 50 32 -0.621969100477067
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.47139778427515
+3 0 1 0 0 18 14 32 0.592233266723946
+3 0 1 0 0 18 15 32 0.701671989144213
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+3 0 1 0 0 18 37 32 -0.700418561943761
+3 0 1 0 0 18 38 32 -0.795373064323371
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.611292615681153
+4 0 1 0 0 18 14 32 0.717944276299752
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+4 0 1 0 0 18 37 32 -0.809298364848206
+4 0 1 0 0 18 38 32 -0.885294851862594
+
+
+# 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 18 0 32 -0.932835443497159
+4 0 0 0 0 18 2 32 -0.792696388078993
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+4 0 0 0 0 18 50 32 -0.336315554798765
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.731043084767593
+5 0 1 0 0 18 14 32 0.82091165379894
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+5 0 1 0 0 18 37 32 -0.892848847209906
+5 0 1 0 0 18 38 32 -0.948843261778467
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.834408380148803
+6 0 1 0 0 18 14 32 0.904672976595759
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+6 0 1 0 0 18 37 32 -0.955378277407028
+6 0 1 0 0 18 38 32 -0.988687603906339
+
+
+# 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 18 0 32 -0.766638747079809
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+6 0 0 0 0 18 50 32 -0.0147744302166163
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.912520869855676
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+7 0 1 0 0 18 38 32 -1.00071276643385
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.96822950840477
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+8 0 1 0 0 18 38 32 -0.986290453298441
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.51863552065217
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+8 0 0 0 0 18 50 32 0.30834324508581
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.996265171449194
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+9 0 1 0 0 18 38 32 -0.94559332747381
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.998373577802423
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+10 0 1 0 0 18 38 32 -0.87856383463539
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.215287453156249
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+10 0 0 0 0 18 48 32 0.347933880063966
+10 0 0 0 0 18 50 32 0.598558212263106
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.973453213062825
+11 0 1 0 0 18 14 32 0.930238234125151
+11 0 1 0 0 18 15 32 0.866875468722571
+11 0 1 0 0 18 16 32 0.786989343001322
+11 0 1 0 0 18 17 32 0.690664256021332
+11 0 1 0 0 18 18 32 0.580341068483097
+11 0 1 0 0 18 19 32 0.459032600752595
+11 0 1 0 0 18 20 32 0.328376123362383
+11 0 1 0 0 18 21 32 0.190712969302657
+11 0 1 0 0 18 22 32 0.0490297586701017
+11 0 1 0 0 18 23 32 -0.0936769567924324
+11 0 1 0 0 18 24 32 -0.234479078787099
+11 0 1 0 0 18 25 32 -0.370507989289544
+11 0 1 0 0 18 26 32 -0.498994433075803
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+11 0 1 0 0 18 30 32 -0.888562076147137
+11 0 1 0 0 18 31 32 -0.944764240633319
+11 0 1 0 0 18 32 32 -0.981361271376267
+11 0 1 0 0 18 33 32 -0.997834252192162
+11 0 1 0 0 18 34 32 -0.994656152055933
+11 0 1 0 0 18 35 32 -0.971536952486965
+11 0 1 0 0 18 36 32 -0.928822810945746
+11 0 1 0 0 18 37 32 -0.86817229102696
+11 0 1 0 0 18 38 32 -0.789560126768848
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.921827862886506
+12 0 1 0 0 18 14 32 0.856661708846972
+12 0 1 0 0 18 15 32 0.77381382102072
+12 0 1 0 0 18 16 32 0.675460946016465
+12 0 1 0 0 18 17 32 0.56342548457434
+12 0 1 0 0 18 18 32 0.439456259294063
+12 0 1 0 0 18 19 32 0.307261326809755
+12 0 1 0 0 18 20 32 0.169224760379252
+12 0 1 0 0 18 21 32 0.027486198665745
+12 0 1 0 0 18 22 32 -0.115037848441296
+12 0 1 0 0 18 23 32 -0.255285230462107
+12 0 1 0 0 18 24 32 -0.390345270346837
+12 0 1 0 0 18 25 32 -0.517459779540462
+12 0 1 0 0 18 26 32 -0.634040318174765
+12 0 1 0 0 18 27 32 -0.737713605158121
+12 0 1 0 0 18 28 32 -0.826368372946097
+12 0 1 0 0 18 29 32 -0.898190681770604
+12 0 1 0 0 18 30 32 -0.951658983848257
+12 0 1 0 0 18 31 32 -0.985503684448856
+12 0 1 0 0 18 32 32 -0.998939829653436
+12 0 1 0 0 18 33 32 -0.99227759053428
+12 0 1 0 0 18 34 32 -0.966115021156691
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+12 0 1 0 0 18 36 32 -0.856226274964049
+12 0 1 0 0 18 37 32 -0.774519074065792
+12 0 1 0 0 18 38 32 -0.67712948654563
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.111048514809655
+12 0 0 0 0 18 2 32 0.386939255069172
+12 0 0 0 0 18 4 32 0.631500657946575
+12 0 0 0 0 18 6 32 0.824902054360489
+12 0 0 0 0 18 8 32 0.95146823768893
+12 0 0 0 0 18 10 32 1.00084670388695
+12 0 0 0 0 18 12 32 0.968492375797773
+12 0 0 0 0 18 14 32 0.856661708846972
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+12 0 0 0 0 18 18 32 0.439456259294063
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+12 0 0 0 0 18 26 32 -0.634040318174765
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+12 0 0 0 0 18 30 32 -0.951658983848257
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+12 0 0 0 0 18 34 32 -0.966115021156691
+12 0 0 0 0 18 36 32 -0.856226274964049
+12 0 0 0 0 18 38 32 -0.67712948654563
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+12 0 0 0 0 18 42 32 -0.173645673736826
+12 0 0 0 0 18 44 32 0.111048514809655
+12 0 0 0 0 18 46 32 0.386939255069172
+12 0 0 0 0 18 48 32 0.631500657946575
+12 0 0 0 0 18 50 32 0.824902054360489
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl
new file mode 100644
index 000000000..ef6baf7d4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl
@@ -0,0 +1,782 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
+0 0 1 0 0 18 24 18 -0.978147600733805
+0 0 1 0 0 18 24 19 -0.9135454576426
+0 0 1 0 0 18 24 20 -0.809016994374946
+0 0 1 0 0 18 24 21 -0.669130606358856
+0 0 1 0 0 18 24 22 -0.499999999999998
+0 0 1 0 0 18 24 23 -0.309016994374945
+0 0 1 0 0 18 24 24 -0.104528463267652
+0 0 1 0 0 18 24 25 0.104528463267655
+0 0 1 0 0 18 24 26 0.309016994374949
+0 0 1 0 0 18 24 27 0.500000000000001
+0 0 1 0 0 18 24 28 0.669130606358859
+0 0 1 0 0 18 24 29 0.809016994374948
+0 0 1 0 0 18 24 30 0.913545457642601
+0 0 1 0 0 18 24 31 0.978147600733806
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 24 33 0.978147600733806
+0 0 1 0 0 18 24 34 0.913545457642601
+0 0 1 0 0 18 24 35 0.809016994374948
+0 0 1 0 0 18 24 36 0.669130606358859
+0 0 1 0 0 18 24 37 0.500000000000001
+0 0 1 0 0 18 24 38 0.309016994374949
+0 0 1 0 0 18 24 39 0.104528463267655
+0 0 1 0 0 18 24 40 -0.104528463267652
+0 0 1 0 0 18 24 41 -0.309016994374945
+0 0 1 0 0 18 24 42 -0.499999999999998
+0 0 1 0 0 18 24 43 -0.669130606358856
+0 0 1 0 0 18 24 44 -0.809016994374946
+0 0 1 0 0 18 24 45 -0.9135454576426
+0 0 1 0 0 18 24 46 -0.978147600733805
+0 0 1 0 0 18 24 47 -1
+0 0 1 0 0 18 24 48 -0.978147600733806
+0 0 1 0 0 18 24 49 -0.913545457642603
+0 0 1 0 0 18 24 50 -0.80901699437495
+
+
+# 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 18 24 0 0.913545457642598
+0 0 0 0 0 18 24 2 1
+0 0 0 0 0 18 24 4 0.913545457642598
+0 0 0 0 0 18 24 6 0.669130606358854
+0 0 0 0 0 18 24 8 0.309016994374941
+0 0 0 0 0 18 24 10 -0.104528463267659
+0 0 0 0 0 18 24 12 -0.500000000000004
+0 0 0 0 0 18 24 14 -0.80901699437495
+0 0 0 0 0 18 24 16 -0.978147600733806
+0 0 0 0 0 18 24 18 -0.978147600733805
+0 0 0 0 0 18 24 20 -0.809016994374946
+0 0 0 0 0 18 24 22 -0.499999999999998
+0 0 0 0 0 18 24 24 -0.104528463267652
+0 0 0 0 0 18 24 26 0.309016994374949
+0 0 0 0 0 18 24 28 0.669130606358859
+0 0 0 0 0 18 24 30 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 24 34 0.913545457642601
+0 0 0 0 0 18 24 36 0.669130606358859
+0 0 0 0 0 18 24 38 0.309016994374949
+0 0 0 0 0 18 24 40 -0.104528463267652
+0 0 0 0 0 18 24 42 -0.499999999999998
+0 0 0 0 0 18 24 44 -0.809016994374946
+0 0 0 0 0 18 24 46 -0.978147600733805
+0 0 0 0 0 18 24 48 -0.978147600733806
+0 0 0 0 0 18 24 50 -0.80901699437495
+0 0 0 0 0 18 24 52 -0.500000000000004
+0 0 0 0 0 18 24 54 -0.104528463267659
+0 0 0 0 0 18 24 56 0.309016994374942
+0 0 0 0 0 18 24 58 0.669130606358854
+0 0 0 0 0 18 24 60 0.913545457642598
+0 0 0 0 0 18 24 62 1
+0 0 0 0 0 18 24 64 0.913545457642598
+0 0 0 0 0 18 24 66 0.669130606358854
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.986070530748317
+1 0 1 0 0 18 24 18 -0.931638917928196
+1 0 1 0 0 18 24 19 -0.83468156831125
+1 0 1 0 0 18 24 20 -0.701927591006387
+1 0 1 0 0 18 24 21 -0.538496009752266
+1 0 1 0 0 18 24 22 -0.351529568881427
+1 0 1 0 0 18 24 23 -0.149199599024447
+1 0 1 0 0 18 24 24 0.0596511092490089
+1 0 1 0 0 18 24 25 0.265894777810504
+1 0 1 0 0 18 24 26 0.460517568676976
+1 0 1 0 0 18 24 27 0.635013531983796
+1 0 1 0 0 18 24 28 0.781756356809923
+1 0 1 0 0 18 24 29 0.894332677560259
+1 0 1 0 0 18 24 30 0.967822368816891
+1 0 1 0 0 18 24 31 0.999013578429243
+1 0 1 0 0 18 24 32 0.986543100865224
+1 0 1 0 0 18 24 33 0.930955955834372
+1 0 1 0 0 18 24 34 0.834681568311252
+1 0 1 0 0 18 24 35 0.70192759100639
+1 0 1 0 0 18 24 36 0.538496009752269
+1 0 1 0 0 18 24 37 0.35152956888143
+1 0 1 0 0 18 24 38 0.149199599024451
+1 0 1 0 0 18 24 39 -0.0596511092490055
+1 0 1 0 0 18 24 40 -0.2658947778105
+1 0 1 0 0 18 24 41 -0.460517568676973
+1 0 1 0 0 18 24 42 -0.635013531983793
+1 0 1 0 0 18 24 43 -0.781756356809921
+1 0 1 0 0 18 24 44 -0.894332677560257
+1 0 1 0 0 18 24 45 -0.967822368816891
+1 0 1 0 0 18 24 46 -0.999013578429243
+1 0 1 0 0 18 24 47 -0.986543100865224
+1 0 1 0 0 18 24 48 -0.930955955834373
+1 0 1 0 0 18 24 49 -0.835194239299679
+1 0 1 0 0 18 24 50 -0.703410204762633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.946194090397304
+2 0 1 0 0 18 24 18 -0.85903617799375
+2 0 1 0 0 18 24 19 -0.7335006971855
+2 0 1 0 0 18 24 20 -0.575927080272982
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+2 0 1 0 0 18 24 22 -0.19358834119607
+2 0 1 0 0 18 24 23 0.0146374839292951
+2 0 1 0 0 18 24 24 0.22222358076851
+2 0 1 0 0 18 24 25 0.420097440781091
+2 0 1 0 0 18 24 26 0.599611026780361
+2 0 1 0 0 18 24 27 0.752918733656398
+2 0 1 0 0 18 24 28 0.873320278966721
+2 0 1 0 0 18 24 29 0.955553537430554
+2 0 1 0 0 18 24 30 0.996024521054073
+2 0 1 0 0 18 24 31 0.992964453651605
+2 0 1 0 0 18 24 32 0.94650707485247
+2 0 1 0 0 18 24 33 0.858682795037428
+2 0 1 0 0 18 24 34 0.733329956662046
+2 0 1 0 0 18 24 35 0.575927080272985
+2 0 1 0 0 18 24 36 0.393353426871245
+2 0 1 0 0 18 24 37 0.193588341196074
+2 0 1 0 0 18 24 38 -0.0146374839292917
+2 0 1 0 0 18 24 39 -0.222223580768506
+2 0 1 0 0 18 24 40 -0.420097440781087
+2 0 1 0 0 18 24 41 -0.599611026780359
+2 0 1 0 0 18 24 42 -0.752918733656396
+2 0 1 0 0 18 24 43 -0.873320278966719
+2 0 1 0 0 18 24 44 -0.955553537430553
+2 0 1 0 0 18 24 45 -0.996024521054072
+2 0 1 0 0 18 24 46 -0.992964453651605
+2 0 1 0 0 18 24 47 -0.946507074852471
+2 0 1 0 0 18 24 48 -0.858810962784536
+2 0 1 0 0 18 24 49 -0.733139283369377
+2 0 1 0 0 18 24 50 -0.576221257556121
+
+
+# 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 18 24 0 0.996351822641284
+2 0 0 0 0 18 24 2 0.946867382673999
+2 0 0 0 0 18 24 4 0.733660970222251
+2 0 0 0 0 18 24 6 0.393597910918405
+2 0 0 0 0 18 24 8 -0.0145218029079991
+2 0 0 0 0 18 24 10 -0.420130565085172
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+2 0 0 0 0 18 24 18 -0.85903617799375
+2 0 0 0 0 18 24 20 -0.575927080272982
+2 0 0 0 0 18 24 22 -0.19358834119607
+2 0 0 0 0 18 24 24 0.22222358076851
+2 0 0 0 0 18 24 26 0.599611026780361
+2 0 0 0 0 18 24 28 0.873320278966721
+2 0 0 0 0 18 24 30 0.996024521054073
+2 0 0 0 0 18 24 32 0.94650707485247
+2 0 0 0 0 18 24 34 0.733329956662046
+2 0 0 0 0 18 24 36 0.393353426871245
+2 0 0 0 0 18 24 38 -0.0146374839292917
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+2 0 0 0 0 18 24 42 -0.752918733656396
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+2 0 0 0 0 18 24 50 -0.576221257556121
+2 0 0 0 0 18 24 52 -0.19377244688125
+2 0 0 0 0 18 24 54 0.222181380226806
+2 0 0 0 0 18 24 56 0.599718028239173
+2 0 0 0 0 18 24 58 0.873557980901742
+2 0 0 0 0 18 24 60 0.996351822641284
+2 0 0 0 0 18 24 62 0.946867382673999
+2 0 0 0 0 18 24 64 0.733660970222251
+2 0 0 0 0 18 24 66 0.393597910918405
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.881793482530165
+3 0 1 0 0 18 24 18 -0.765078107428074
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+3 0 1 0 0 18 24 30 0.997392101040478
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+3 0 1 0 0 18 24 32 0.880970559696016
+3 0 1 0 0 18 24 33 0.763275278592748
+3 0 1 0 0 18 24 34 0.612221205213832
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+3 0 1 0 0 18 24 36 0.237613242495134
+3 0 1 0 0 18 24 37 0.0304315186946016
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+3 0 1 0 0 18 24 42 -0.850539041001414
+3 0 1 0 0 18 24 43 -0.941355487092262
+3 0 1 0 0 18 24 44 -0.991030181272383
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+3 0 1 0 0 18 24 49 -0.613761698286647
+3 0 1 0 0 18 24 50 -0.436744481485664
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.792120642634996
+4 0 1 0 0 18 24 18 -0.648185130731966
+4 0 1 0 0 18 24 19 -0.47512831249303
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+4 0 1 0 0 18 24 28 0.984028998494406
+4 0 1 0 0 18 24 29 0.999806808759285
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+4 0 1 0 0 18 24 31 0.901493538224079
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+4 0 1 0 0 18 24 33 0.647303845118243
+4 0 1 0 0 18 24 34 0.474618186990557
+4 0 1 0 0 18 24 35 0.281189436620642
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+4 0 1 0 0 18 24 49 -0.474927346682031
+4 0 1 0 0 18 24 50 -0.281881766974512
+
+
+# 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 18 24 0 0.97283942200207
+4 0 0 0 0 18 24 2 0.792696388078995
+4 0 0 0 0 18 24 4 0.47548894723645
+4 0 0 0 0 18 24 6 0.0760651477352512
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+4 0 0 0 0 18 24 22 0.133545179994508
+4 0 0 0 0 18 24 24 0.52518862176873
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+4 0 0 0 0 18 24 28 0.984028998494406
+4 0 0 0 0 18 24 30 0.971888263876029
+4 0 0 0 0 18 24 32 0.791699219105795
+4 0 0 0 0 18 24 34 0.474618186990557
+4 0 0 0 0 18 24 36 0.0754713585737855
+4 0 0 0 0 18 24 38 -0.336725153376162
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+4 0 0 0 0 18 24 50 -0.281881766974512
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+4 0 0 0 0 18 24 56 0.826424317431632
+4 0 0 0 0 18 24 58 0.98476968189229
+4 0 0 0 0 18 24 60 0.97283942200207
+4 0 0 0 0 18 24 62 0.792696388078995
+4 0 0 0 0 18 24 64 0.47548894723645
+4 0 0 0 0 18 24 66 0.0760651477352512
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.68335895924221
+5 0 1 0 0 18 24 18 -0.516773868411928
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+5 0 1 0 0 18 24 28 1.00019111715592
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+5 0 1 0 0 18 24 32 0.681098172823695
+5 0 1 0 0 18 24 33 0.513892959669554
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+5 0 1 0 0 18 24 41 -0.907239977966863
+5 0 1 0 0 18 24 42 -0.975022120225942
+5 0 1 0 0 18 24 43 -1.00019111715592
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+5 0 1 0 0 18 24 49 -0.32661950895873
+5 0 1 0 0 18 24 50 -0.123373369381175
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.553430848115621
+6 0 1 0 0 18 24 18 -0.368038780299125
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+6 0 1 0 0 18 24 49 -0.16579219620609
+6 0 1 0 0 18 24 50 0.0426941297471827
+
+
+# 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 18 24 0 0.845517218278481
+6 0 0 0 0 18 24 2 0.553938303270452
+6 0 0 0 0 18 24 4 0.166578423255461
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+6 0 0 0 0 18 24 64 0.166578423255461
+6 0 0 0 0 18 24 66 -0.249584379457865
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.41190666644139
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.255586282871138
+8 0 1 0 0 18 24 18 -0.048519937458825
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+8 0 1 0 0 18 24 49 0.160643621976177
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.627971516258223
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0964015797614693
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0695605849303702
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.343416194797169
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.229292857006858
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.387104045139003
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl
new file mode 100644
index 000000000..c73d4d829
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl
@@ -0,0 +1,482 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 2.7
+0 0 1 0 0 10 24 32 2.4
+0 0 1 0 0 11 24 32 2.1
+0 0 1 0 0 12 24 32 1.8
+0 0 1 0 0 13 24 32 1.5
+0 0 1 0 0 14 24 32 1.2
+0 0 1 0 0 15 24 32 0.9
+0 0 1 0 0 16 24 32 0.6
+0 0 1 0 0 17 24 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 5.4
+0 0 0 0 0 2 24 32 4.8
+0 0 0 0 0 4 24 32 4.2
+0 0 0 0 0 6 24 32 3.6
+0 0 0 0 0 8 24 32 3
+0 0 0 0 0 10 24 32 2.4
+0 0 0 0 0 12 24 32 1.8
+0 0 0 0 0 14 24 32 1.2
+0 0 0 0 0 16 24 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 2.7
+1 0 1 0 0 10 24 32 2.4
+1 0 1 0 0 11 24 32 2.1
+1 0 1 0 0 12 24 32 1.8
+1 0 1 0 0 13 24 32 1.5
+1 0 1 0 0 14 24 32 1.2
+1 0 1 0 0 15 24 32 0.9
+1 0 1 0 0 16 24 32 0.6
+1 0 1 0 0 17 24 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 2.7
+2 0 1 0 0 10 24 32 2.4
+2 0 1 0 0 11 24 32 2.1
+2 0 1 0 0 12 24 32 1.8
+2 0 1 0 0 13 24 32 1.5
+2 0 1 0 0 14 24 32 1.2
+2 0 1 0 0 15 24 32 0.9
+2 0 1 0 0 16 24 32 0.6
+2 0 1 0 0 17 24 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 5.4
+2 0 0 0 0 2 24 32 4.8
+2 0 0 0 0 4 24 32 4.2
+2 0 0 0 0 6 24 32 3.6
+2 0 0 0 0 8 24 32 3
+2 0 0 0 0 10 24 32 2.4
+2 0 0 0 0 12 24 32 1.8
+2 0 0 0 0 14 24 32 1.2
+2 0 0 0 0 16 24 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 2.7
+3 0 1 0 0 10 24 32 2.4
+3 0 1 0 0 11 24 32 2.1
+3 0 1 0 0 12 24 32 1.8
+3 0 1 0 0 13 24 32 1.5
+3 0 1 0 0 14 24 32 1.2
+3 0 1 0 0 15 24 32 0.9
+3 0 1 0 0 16 24 32 0.6
+3 0 1 0 0 17 24 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 2.7
+4 0 1 0 0 10 24 32 2.4
+4 0 1 0 0 11 24 32 2.1
+4 0 1 0 0 12 24 32 1.8
+4 0 1 0 0 13 24 32 1.5
+4 0 1 0 0 14 24 32 1.2
+4 0 1 0 0 15 24 32 0.9
+4 0 1 0 0 16 24 32 0.6
+4 0 1 0 0 17 24 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 5.4
+4 0 0 0 0 2 24 32 4.8
+4 0 0 0 0 4 24 32 4.2
+4 0 0 0 0 6 24 32 3.6
+4 0 0 0 0 8 24 32 3
+4 0 0 0 0 10 24 32 2.4
+4 0 0 0 0 12 24 32 1.8
+4 0 0 0 0 14 24 32 1.2
+4 0 0 0 0 16 24 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 2.7
+5 0 1 0 0 10 24 32 2.4
+5 0 1 0 0 11 24 32 2.1
+5 0 1 0 0 12 24 32 1.8
+5 0 1 0 0 13 24 32 1.5
+5 0 1 0 0 14 24 32 1.2
+5 0 1 0 0 15 24 32 0.9
+5 0 1 0 0 16 24 32 0.6
+5 0 1 0 0 17 24 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 2.7
+6 0 1 0 0 10 24 32 2.4
+6 0 1 0 0 11 24 32 2.1
+6 0 1 0 0 12 24 32 1.8
+6 0 1 0 0 13 24 32 1.5
+6 0 1 0 0 14 24 32 1.2
+6 0 1 0 0 15 24 32 0.9
+6 0 1 0 0 16 24 32 0.6
+6 0 1 0 0 17 24 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# 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 24 32 5.4
+6 0 0 0 0 2 24 32 4.8
+6 0 0 0 0 4 24 32 4.2
+6 0 0 0 0 6 24 32 3.6
+6 0 0 0 0 8 24 32 3
+6 0 0 0 0 10 24 32 2.4
+6 0 0 0 0 12 24 32 1.8
+6 0 0 0 0 14 24 32 1.2
+6 0 0 0 0 16 24 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 2.7
+7 0 1 0 0 10 24 32 2.4
+7 0 1 0 0 11 24 32 2.1
+7 0 1 0 0 12 24 32 1.8
+7 0 1 0 0 13 24 32 1.5
+7 0 1 0 0 14 24 32 1.2
+7 0 1 0 0 15 24 32 0.9
+7 0 1 0 0 16 24 32 0.6
+7 0 1 0 0 17 24 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 2.7
+8 0 1 0 0 10 24 32 2.4
+8 0 1 0 0 11 24 32 2.1
+8 0 1 0 0 12 24 32 1.8
+8 0 1 0 0 13 24 32 1.5
+8 0 1 0 0 14 24 32 1.2
+8 0 1 0 0 15 24 32 0.9
+8 0 1 0 0 16 24 32 0.6
+8 0 1 0 0 17 24 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 5.4
+8 0 0 0 0 2 24 32 4.8
+8 0 0 0 0 4 24 32 4.2
+8 0 0 0 0 6 24 32 3.6
+8 0 0 0 0 8 24 32 3
+8 0 0 0 0 10 24 32 2.4
+8 0 0 0 0 12 24 32 1.8
+8 0 0 0 0 14 24 32 1.2
+8 0 0 0 0 16 24 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 2.7
+9 0 1 0 0 10 24 32 2.4
+9 0 1 0 0 11 24 32 2.1
+9 0 1 0 0 12 24 32 1.8
+9 0 1 0 0 13 24 32 1.5
+9 0 1 0 0 14 24 32 1.2
+9 0 1 0 0 15 24 32 0.9
+9 0 1 0 0 16 24 32 0.6
+9 0 1 0 0 17 24 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 2.7
+10 0 1 0 0 10 24 32 2.4
+10 0 1 0 0 11 24 32 2.1
+10 0 1 0 0 12 24 32 1.8
+10 0 1 0 0 13 24 32 1.5
+10 0 1 0 0 14 24 32 1.2
+10 0 1 0 0 15 24 32 0.9
+10 0 1 0 0 16 24 32 0.6
+10 0 1 0 0 17 24 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 5.4
+10 0 0 0 0 2 24 32 4.8
+10 0 0 0 0 4 24 32 4.2
+10 0 0 0 0 6 24 32 3.6
+10 0 0 0 0 8 24 32 3
+10 0 0 0 0 10 24 32 2.4
+10 0 0 0 0 12 24 32 1.8
+10 0 0 0 0 14 24 32 1.2
+10 0 0 0 0 16 24 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 2.7
+11 0 1 0 0 10 24 32 2.4
+11 0 1 0 0 11 24 32 2.1
+11 0 1 0 0 12 24 32 1.8
+11 0 1 0 0 13 24 32 1.5
+11 0 1 0 0 14 24 32 1.2
+11 0 1 0 0 15 24 32 0.9
+11 0 1 0 0 16 24 32 0.6
+11 0 1 0 0 17 24 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 2.7
+12 0 1 0 0 10 24 32 2.4
+12 0 1 0 0 11 24 32 2.1
+12 0 1 0 0 12 24 32 1.8
+12 0 1 0 0 13 24 32 1.5
+12 0 1 0 0 14 24 32 1.2
+12 0 1 0 0 15 24 32 0.9
+12 0 1 0 0 16 24 32 0.6
+12 0 1 0 0 17 24 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 5.4
+12 0 0 0 0 2 24 32 4.8
+12 0 0 0 0 4 24 32 4.2
+12 0 0 0 0 6 24 32 3.6
+12 0 0 0 0 8 24 32 3
+12 0 0 0 0 10 24 32 2.4
+12 0 0 0 0 12 24 32 1.8
+12 0 0 0 0 14 24 32 1.2
+12 0 0 0 0 16 24 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl
new file mode 100644
index 000000000..68dfcb5aa
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl
@@ -0,0 +1,622 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 3.3
+0 0 1 0 0 18 14 32 3
+0 0 1 0 0 18 15 32 2.7
+0 0 1 0 0 18 16 32 2.4
+0 0 1 0 0 18 17 32 2.1
+0 0 1 0 0 18 18 32 1.8
+0 0 1 0 0 18 19 32 1.5
+0 0 1 0 0 18 20 32 1.2
+0 0 1 0 0 18 21 32 0.9
+0 0 1 0 0 18 22 32 0.6
+0 0 1 0 0 18 23 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 7.2
+0 0 0 0 0 18 2 32 6.6
+0 0 0 0 0 18 4 32 6
+0 0 0 0 0 18 6 32 5.4
+0 0 0 0 0 18 8 32 4.8
+0 0 0 0 0 18 10 32 4.2
+0 0 0 0 0 18 12 32 3.6
+0 0 0 0 0 18 14 32 3
+0 0 0 0 0 18 16 32 2.4
+0 0 0 0 0 18 18 32 1.8
+0 0 0 0 0 18 20 32 1.2
+0 0 0 0 0 18 22 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 3.3
+1 0 1 0 0 18 14 32 3
+1 0 1 0 0 18 15 32 2.7
+1 0 1 0 0 18 16 32 2.4
+1 0 1 0 0 18 17 32 2.1
+1 0 1 0 0 18 18 32 1.8
+1 0 1 0 0 18 19 32 1.5
+1 0 1 0 0 18 20 32 1.2
+1 0 1 0 0 18 21 32 0.9
+1 0 1 0 0 18 22 32 0.6
+1 0 1 0 0 18 23 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 3.3
+2 0 1 0 0 18 14 32 3
+2 0 1 0 0 18 15 32 2.7
+2 0 1 0 0 18 16 32 2.4
+2 0 1 0 0 18 17 32 2.1
+2 0 1 0 0 18 18 32 1.8
+2 0 1 0 0 18 19 32 1.5
+2 0 1 0 0 18 20 32 1.2
+2 0 1 0 0 18 21 32 0.9
+2 0 1 0 0 18 22 32 0.6
+2 0 1 0 0 18 23 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 7.2
+2 0 0 0 0 18 2 32 6.6
+2 0 0 0 0 18 4 32 6
+2 0 0 0 0 18 6 32 5.4
+2 0 0 0 0 18 8 32 4.8
+2 0 0 0 0 18 10 32 4.2
+2 0 0 0 0 18 12 32 3.6
+2 0 0 0 0 18 14 32 3
+2 0 0 0 0 18 16 32 2.4
+2 0 0 0 0 18 18 32 1.8
+2 0 0 0 0 18 20 32 1.2
+2 0 0 0 0 18 22 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 3.3
+3 0 1 0 0 18 14 32 3
+3 0 1 0 0 18 15 32 2.7
+3 0 1 0 0 18 16 32 2.4
+3 0 1 0 0 18 17 32 2.1
+3 0 1 0 0 18 18 32 1.8
+3 0 1 0 0 18 19 32 1.5
+3 0 1 0 0 18 20 32 1.2
+3 0 1 0 0 18 21 32 0.9
+3 0 1 0 0 18 22 32 0.6
+3 0 1 0 0 18 23 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 3.3
+4 0 1 0 0 18 14 32 3
+4 0 1 0 0 18 15 32 2.7
+4 0 1 0 0 18 16 32 2.4
+4 0 1 0 0 18 17 32 2.1
+4 0 1 0 0 18 18 32 1.8
+4 0 1 0 0 18 19 32 1.5
+4 0 1 0 0 18 20 32 1.2
+4 0 1 0 0 18 21 32 0.9
+4 0 1 0 0 18 22 32 0.6
+4 0 1 0 0 18 23 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 7.2
+4 0 0 0 0 18 2 32 6.6
+4 0 0 0 0 18 4 32 6
+4 0 0 0 0 18 6 32 5.4
+4 0 0 0 0 18 8 32 4.8
+4 0 0 0 0 18 10 32 4.2
+4 0 0 0 0 18 12 32 3.6
+4 0 0 0 0 18 14 32 3
+4 0 0 0 0 18 16 32 2.4
+4 0 0 0 0 18 18 32 1.8
+4 0 0 0 0 18 20 32 1.2
+4 0 0 0 0 18 22 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 3.3
+5 0 1 0 0 18 14 32 3
+5 0 1 0 0 18 15 32 2.7
+5 0 1 0 0 18 16 32 2.4
+5 0 1 0 0 18 17 32 2.1
+5 0 1 0 0 18 18 32 1.8
+5 0 1 0 0 18 19 32 1.5
+5 0 1 0 0 18 20 32 1.2
+5 0 1 0 0 18 21 32 0.9
+5 0 1 0 0 18 22 32 0.6
+5 0 1 0 0 18 23 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 3.3
+6 0 1 0 0 18 14 32 3
+6 0 1 0 0 18 15 32 2.7
+6 0 1 0 0 18 16 32 2.4
+6 0 1 0 0 18 17 32 2.1
+6 0 1 0 0 18 18 32 1.8
+6 0 1 0 0 18 19 32 1.5
+6 0 1 0 0 18 20 32 1.2
+6 0 1 0 0 18 21 32 0.9
+6 0 1 0 0 18 22 32 0.6
+6 0 1 0 0 18 23 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# 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 18 0 32 7.2
+6 0 0 0 0 18 2 32 6.6
+6 0 0 0 0 18 4 32 6
+6 0 0 0 0 18 6 32 5.4
+6 0 0 0 0 18 8 32 4.8
+6 0 0 0 0 18 10 32 4.2
+6 0 0 0 0 18 12 32 3.6
+6 0 0 0 0 18 14 32 3
+6 0 0 0 0 18 16 32 2.4
+6 0 0 0 0 18 18 32 1.8
+6 0 0 0 0 18 20 32 1.2
+6 0 0 0 0 18 22 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 3.3
+7 0 1 0 0 18 14 32 3
+7 0 1 0 0 18 15 32 2.7
+7 0 1 0 0 18 16 32 2.4
+7 0 1 0 0 18 17 32 2.1
+7 0 1 0 0 18 18 32 1.8
+7 0 1 0 0 18 19 32 1.5
+7 0 1 0 0 18 20 32 1.2
+7 0 1 0 0 18 21 32 0.9
+7 0 1 0 0 18 22 32 0.6
+7 0 1 0 0 18 23 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 3.3
+8 0 1 0 0 18 14 32 3
+8 0 1 0 0 18 15 32 2.7
+8 0 1 0 0 18 16 32 2.4
+8 0 1 0 0 18 17 32 2.1
+8 0 1 0 0 18 18 32 1.8
+8 0 1 0 0 18 19 32 1.5
+8 0 1 0 0 18 20 32 1.2
+8 0 1 0 0 18 21 32 0.9
+8 0 1 0 0 18 22 32 0.6
+8 0 1 0 0 18 23 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 7.2
+8 0 0 0 0 18 2 32 6.6
+8 0 0 0 0 18 4 32 6
+8 0 0 0 0 18 6 32 5.4
+8 0 0 0 0 18 8 32 4.8
+8 0 0 0 0 18 10 32 4.2
+8 0 0 0 0 18 12 32 3.6
+8 0 0 0 0 18 14 32 3
+8 0 0 0 0 18 16 32 2.4
+8 0 0 0 0 18 18 32 1.8
+8 0 0 0 0 18 20 32 1.2
+8 0 0 0 0 18 22 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 3.3
+9 0 1 0 0 18 14 32 3
+9 0 1 0 0 18 15 32 2.7
+9 0 1 0 0 18 16 32 2.4
+9 0 1 0 0 18 17 32 2.1
+9 0 1 0 0 18 18 32 1.8
+9 0 1 0 0 18 19 32 1.5
+9 0 1 0 0 18 20 32 1.2
+9 0 1 0 0 18 21 32 0.9
+9 0 1 0 0 18 22 32 0.6
+9 0 1 0 0 18 23 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 3.3
+10 0 1 0 0 18 14 32 3
+10 0 1 0 0 18 15 32 2.7
+10 0 1 0 0 18 16 32 2.4
+10 0 1 0 0 18 17 32 2.1
+10 0 1 0 0 18 18 32 1.8
+10 0 1 0 0 18 19 32 1.5
+10 0 1 0 0 18 20 32 1.2
+10 0 1 0 0 18 21 32 0.9
+10 0 1 0 0 18 22 32 0.6
+10 0 1 0 0 18 23 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 7.2
+10 0 0 0 0 18 2 32 6.6
+10 0 0 0 0 18 4 32 6
+10 0 0 0 0 18 6 32 5.4
+10 0 0 0 0 18 8 32 4.8
+10 0 0 0 0 18 10 32 4.2
+10 0 0 0 0 18 12 32 3.6
+10 0 0 0 0 18 14 32 3
+10 0 0 0 0 18 16 32 2.4
+10 0 0 0 0 18 18 32 1.8
+10 0 0 0 0 18 20 32 1.2
+10 0 0 0 0 18 22 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 3.3
+11 0 1 0 0 18 14 32 3
+11 0 1 0 0 18 15 32 2.7
+11 0 1 0 0 18 16 32 2.4
+11 0 1 0 0 18 17 32 2.1
+11 0 1 0 0 18 18 32 1.8
+11 0 1 0 0 18 19 32 1.5
+11 0 1 0 0 18 20 32 1.2
+11 0 1 0 0 18 21 32 0.9
+11 0 1 0 0 18 22 32 0.6
+11 0 1 0 0 18 23 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 3.3
+12 0 1 0 0 18 14 32 3
+12 0 1 0 0 18 15 32 2.7
+12 0 1 0 0 18 16 32 2.4
+12 0 1 0 0 18 17 32 2.1
+12 0 1 0 0 18 18 32 1.8
+12 0 1 0 0 18 19 32 1.5
+12 0 1 0 0 18 20 32 1.2
+12 0 1 0 0 18 21 32 0.9
+12 0 1 0 0 18 22 32 0.6
+12 0 1 0 0 18 23 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 7.2
+12 0 0 0 0 18 2 32 6.6
+12 0 0 0 0 18 4 32 6
+12 0 0 0 0 18 6 32 5.4
+12 0 0 0 0 18 8 32 4.8
+12 0 0 0 0 18 10 32 4.2
+12 0 0 0 0 18 12 32 3.6
+12 0 0 0 0 18 14 32 3
+12 0 0 0 0 18 16 32 2.4
+12 0 0 0 0 18 18 32 1.8
+12 0 0 0 0 18 20 32 1.2
+12 0 0 0 0 18 22 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl
new file mode 100644
index 000000000..28167d1c4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl
@@ -0,0 +1,782 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.5
+0 0 1 0 0 18 24 18 4.2
+0 0 1 0 0 18 24 19 3.9
+0 0 1 0 0 18 24 20 3.6
+0 0 1 0 0 18 24 21 3.3
+0 0 1 0 0 18 24 22 3
+0 0 1 0 0 18 24 23 2.7
+0 0 1 0 0 18 24 24 2.4
+0 0 1 0 0 18 24 25 2.1
+0 0 1 0 0 18 24 26 1.8
+0 0 1 0 0 18 24 27 1.5
+0 0 1 0 0 18 24 28 1.2
+0 0 1 0 0 18 24 29 0.9
+0 0 1 0 0 18 24 30 0.6
+0 0 1 0 0 18 24 31 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# 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 18 24 0 9.6
+0 0 0 0 0 18 24 2 9
+0 0 0 0 0 18 24 4 8.4
+0 0 0 0 0 18 24 6 7.8
+0 0 0 0 0 18 24 8 7.2
+0 0 0 0 0 18 24 10 6.6
+0 0 0 0 0 18 24 12 6
+0 0 0 0 0 18 24 14 5.4
+0 0 0 0 0 18 24 16 4.8
+0 0 0 0 0 18 24 18 4.2
+0 0 0 0 0 18 24 20 3.6
+0 0 0 0 0 18 24 22 3
+0 0 0 0 0 18 24 24 2.4
+0 0 0 0 0 18 24 26 1.8
+0 0 0 0 0 18 24 28 1.2
+0 0 0 0 0 18 24 30 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.5
+1 0 1 0 0 18 24 18 4.2
+1 0 1 0 0 18 24 19 3.9
+1 0 1 0 0 18 24 20 3.6
+1 0 1 0 0 18 24 21 3.3
+1 0 1 0 0 18 24 22 3
+1 0 1 0 0 18 24 23 2.7
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+1 0 1 0 0 18 24 25 2.1
+1 0 1 0 0 18 24 26 1.8
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+1 0 1 0 0 18 24 28 1.2
+1 0 1 0 0 18 24 29 0.9
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+1 0 1 0 0 18 24 31 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 24 33 0.3
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+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
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+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
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+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.5
+2 0 1 0 0 18 24 18 4.2
+2 0 1 0 0 18 24 19 3.9
+2 0 1 0 0 18 24 20 3.6
+2 0 1 0 0 18 24 21 3.3
+2 0 1 0 0 18 24 22 3
+2 0 1 0 0 18 24 23 2.7
+2 0 1 0 0 18 24 24 2.4
+2 0 1 0 0 18 24 25 2.1
+2 0 1 0 0 18 24 26 1.8
+2 0 1 0 0 18 24 27 1.5
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+2 0 1 0 0 18 24 29 0.9
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+2 0 1 0 0 18 24 31 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 24 33 0.3
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+2 0 1 0 0 18 24 35 0.9
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+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
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+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
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+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 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 18 24 0 9.6
+2 0 0 0 0 18 24 2 9
+2 0 0 0 0 18 24 4 8.4
+2 0 0 0 0 18 24 6 7.8
+2 0 0 0 0 18 24 8 7.2
+2 0 0 0 0 18 24 10 6.6
+2 0 0 0 0 18 24 12 6
+2 0 0 0 0 18 24 14 5.4
+2 0 0 0 0 18 24 16 4.8
+2 0 0 0 0 18 24 18 4.2
+2 0 0 0 0 18 24 20 3.6
+2 0 0 0 0 18 24 22 3
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+2 0 0 0 0 18 24 26 1.8
+2 0 0 0 0 18 24 28 1.2
+2 0 0 0 0 18 24 30 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
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+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
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+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.5
+3 0 1 0 0 18 24 18 4.2
+3 0 1 0 0 18 24 19 3.9
+3 0 1 0 0 18 24 20 3.6
+3 0 1 0 0 18 24 21 3.3
+3 0 1 0 0 18 24 22 3
+3 0 1 0 0 18 24 23 2.7
+3 0 1 0 0 18 24 24 2.4
+3 0 1 0 0 18 24 25 2.1
+3 0 1 0 0 18 24 26 1.8
+3 0 1 0 0 18 24 27 1.5
+3 0 1 0 0 18 24 28 1.2
+3 0 1 0 0 18 24 29 0.9
+3 0 1 0 0 18 24 30 0.6
+3 0 1 0 0 18 24 31 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 24 33 0.3
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+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
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+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
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+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.5
+4 0 1 0 0 18 24 18 4.2
+4 0 1 0 0 18 24 19 3.9
+4 0 1 0 0 18 24 20 3.6
+4 0 1 0 0 18 24 21 3.3
+4 0 1 0 0 18 24 22 3
+4 0 1 0 0 18 24 23 2.7
+4 0 1 0 0 18 24 24 2.4
+4 0 1 0 0 18 24 25 2.1
+4 0 1 0 0 18 24 26 1.8
+4 0 1 0 0 18 24 27 1.5
+4 0 1 0 0 18 24 28 1.2
+4 0 1 0 0 18 24 29 0.9
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+4 0 1 0 0 18 24 31 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 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 18 24 0 9.6
+4 0 0 0 0 18 24 2 9
+4 0 0 0 0 18 24 4 8.4
+4 0 0 0 0 18 24 6 7.8
+4 0 0 0 0 18 24 8 7.2
+4 0 0 0 0 18 24 10 6.6
+4 0 0 0 0 18 24 12 6
+4 0 0 0 0 18 24 14 5.4
+4 0 0 0 0 18 24 16 4.8
+4 0 0 0 0 18 24 18 4.2
+4 0 0 0 0 18 24 20 3.6
+4 0 0 0 0 18 24 22 3
+4 0 0 0 0 18 24 24 2.4
+4 0 0 0 0 18 24 26 1.8
+4 0 0 0 0 18 24 28 1.2
+4 0 0 0 0 18 24 30 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
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+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
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+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.5
+5 0 1 0 0 18 24 18 4.2
+5 0 1 0 0 18 24 19 3.9
+5 0 1 0 0 18 24 20 3.6
+5 0 1 0 0 18 24 21 3.3
+5 0 1 0 0 18 24 22 3
+5 0 1 0 0 18 24 23 2.7
+5 0 1 0 0 18 24 24 2.4
+5 0 1 0 0 18 24 25 2.1
+5 0 1 0 0 18 24 26 1.8
+5 0 1 0 0 18 24 27 1.5
+5 0 1 0 0 18 24 28 1.2
+5 0 1 0 0 18 24 29 0.9
+5 0 1 0 0 18 24 30 0.6
+5 0 1 0 0 18 24 31 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.5
+6 0 1 0 0 18 24 18 4.2
+6 0 1 0 0 18 24 19 3.9
+6 0 1 0 0 18 24 20 3.6
+6 0 1 0 0 18 24 21 3.3
+6 0 1 0 0 18 24 22 3
+6 0 1 0 0 18 24 23 2.7
+6 0 1 0 0 18 24 24 2.4
+6 0 1 0 0 18 24 25 2.1
+6 0 1 0 0 18 24 26 1.8
+6 0 1 0 0 18 24 27 1.5
+6 0 1 0 0 18 24 28 1.2
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+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 24 33 0.3
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+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
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+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 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 18 24 0 9.6
+6 0 0 0 0 18 24 2 9
+6 0 0 0 0 18 24 4 8.4
+6 0 0 0 0 18 24 6 7.8
+6 0 0 0 0 18 24 8 7.2
+6 0 0 0 0 18 24 10 6.6
+6 0 0 0 0 18 24 12 6
+6 0 0 0 0 18 24 14 5.4
+6 0 0 0 0 18 24 16 4.8
+6 0 0 0 0 18 24 18 4.2
+6 0 0 0 0 18 24 20 3.6
+6 0 0 0 0 18 24 22 3
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+6 0 0 0 0 18 24 26 1.8
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+6 0 0 0 0 18 24 34 0.6
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+6 0 0 0 0 18 24 38 1.8
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+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
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+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.5
+7 0 1 0 0 18 24 18 4.2
+7 0 1 0 0 18 24 19 3.9
+7 0 1 0 0 18 24 20 3.6
+7 0 1 0 0 18 24 21 3.3
+7 0 1 0 0 18 24 22 3
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+7 0 1 0 0 18 24 24 2.4
+7 0 1 0 0 18 24 25 2.1
+7 0 1 0 0 18 24 26 1.8
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+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 24 33 0.3
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+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.5
+8 0 1 0 0 18 24 18 4.2
+8 0 1 0 0 18 24 19 3.9
+8 0 1 0 0 18 24 20 3.6
+8 0 1 0 0 18 24 21 3.3
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+8 0 1 0 0 18 24 24 2.4
+8 0 1 0 0 18 24 25 2.1
+8 0 1 0 0 18 24 26 1.8
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+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 24 33 0.3
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+8 0 1 0 0 18 24 36 1.2
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+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 9.6
+8 0 0 0 0 18 24 2 9
+8 0 0 0 0 18 24 4 8.4
+8 0 0 0 0 18 24 6 7.8
+8 0 0 0 0 18 24 8 7.2
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+8 0 0 0 0 18 24 12 6
+8 0 0 0 0 18 24 14 5.4
+8 0 0 0 0 18 24 16 4.8
+8 0 0 0 0 18 24 18 4.2
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+8 0 0 0 0 18 24 22 3
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+8 0 0 0 0 18 24 26 1.8
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+8 0 0 0 0 18 24 30 0.6
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+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
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+8 0 0 0 0 18 24 52 6
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+8 0 0 0 0 18 24 56 7.2
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+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.5
+9 0 1 0 0 18 24 18 4.2
+9 0 1 0 0 18 24 19 3.9
+9 0 1 0 0 18 24 20 3.6
+9 0 1 0 0 18 24 21 3.3
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+9 0 1 0 0 18 24 24 2.4
+9 0 1 0 0 18 24 25 2.1
+9 0 1 0 0 18 24 26 1.8
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+9 0 1 0 0 18 24 33 0.3
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+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.5
+10 0 1 0 0 18 24 18 4.2
+10 0 1 0 0 18 24 19 3.9
+10 0 1 0 0 18 24 20 3.6
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+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 9.6
+10 0 0 0 0 18 24 2 9
+10 0 0 0 0 18 24 4 8.4
+10 0 0 0 0 18 24 6 7.8
+10 0 0 0 0 18 24 8 7.2
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+10 0 0 0 0 18 24 12 6
+10 0 0 0 0 18 24 14 5.4
+10 0 0 0 0 18 24 16 4.8
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+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
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+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.5
+11 0 1 0 0 18 24 18 4.2
+11 0 1 0 0 18 24 19 3.9
+11 0 1 0 0 18 24 20 3.6
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+11 0 1 0 0 18 24 31 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.5
+12 0 1 0 0 18 24 18 4.2
+12 0 1 0 0 18 24 19 3.9
+12 0 1 0 0 18 24 20 3.6
+12 0 1 0 0 18 24 21 3.3
+12 0 1 0 0 18 24 22 3
+12 0 1 0 0 18 24 23 2.7
+12 0 1 0 0 18 24 24 2.4
+12 0 1 0 0 18 24 25 2.1
+12 0 1 0 0 18 24 26 1.8
+12 0 1 0 0 18 24 27 1.5
+12 0 1 0 0 18 24 28 1.2
+12 0 1 0 0 18 24 29 0.9
+12 0 1 0 0 18 24 30 0.6
+12 0 1 0 0 18 24 31 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 9.6
+12 0 0 0 0 18 24 2 9
+12 0 0 0 0 18 24 4 8.4
+12 0 0 0 0 18 24 6 7.8
+12 0 0 0 0 18 24 8 7.2
+12 0 0 0 0 18 24 10 6.6
+12 0 0 0 0 18 24 12 6
+12 0 0 0 0 18 24 14 5.4
+12 0 0 0 0 18 24 16 4.8
+12 0 0 0 0 18 24 18 4.2
+12 0 0 0 0 18 24 20 3.6
+12 0 0 0 0 18 24 22 3
+12 0 0 0 0 18 24 24 2.4
+12 0 0 0 0 18 24 26 1.8
+12 0 0 0 0 18 24 28 1.2
+12 0 0 0 0 18 24 30 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+