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diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.xl
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+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.80901699437495
+0 0 0 0 0 1 12 16 -0.978147600733806
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374948
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733806
+0 0 0 0 0 18 12 16 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.960194313182036
+1 0 0 0 0 1 12 16 -1.00002486298069
+1 0 0 0 0 2 12 16 -0.866942029029302
+1 0 0 0 0 3 12 16 -0.583957042337672
+1 0 0 0 0 4 12 16 -0.200000577942675
+1 0 0 0 0 5 12 16 0.218537803326821
+1 0 0 0 0 6 12 16 0.599289013047494
+1 0 0 0 0 7 12 16 0.87641770804249
+1 0 0 0 0 8 12 16 1.00200581931202
+1 0 0 0 0 9 12 16 0.954338021485404
+1 0 0 0 0 10 12 16 0.741656509855217
+1 0 0 0 0 11 12 16 0.400735849933194
+1 0 0 0 0 12 12 16 -0.00947567901318476
+1 0 0 0 0 13 12 16 -0.418048776974342
+1 0 0 0 0 14 12 16 -0.754337443542726
+1 0 0 0 0 15 12 16 -0.960194313182036
+1 0 0 0 0 16 12 16 -1.00002486298069
+1 0 0 0 0 17 12 16 -0.866942029029302
+1 0 0 0 0 18 12 16 -0.583957042337672
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -1.01261353571613
+2 0 0 0 0 1 12 16 -0.918429341288023
+2 0 0 0 0 2 12 16 -0.665440370082583
+2 0 0 0 0 3 12 16 -0.297390713553889
+2 0 0 0 0 4 12 16 0.122080499058089
+2 0 0 0 0 5 12 16 0.520442884316407
+2 0 0 0 0 6 12 16 0.828815966801245
+2 0 0 0 0 7 12 16 0.99387923906947
+2 0 0 0 0 8 12 16 0.987091761793153
+2 0 0 0 0 9 12 16 0.809627151455664
+2 0 0 0 0 10 12 16 0.492170651399728
+2 0 0 0 0 11 12 16 0.0896133744867786
+2 0 0 0 0 12 12 16 -0.328438868986884
+2 0 0 0 0 13 12 16 -0.689701048239261
+2 0 0 0 0 14 12 16 -0.931707650513751
+2 0 0 0 0 15 12 16 -1.01261353571613
+2 0 0 0 0 16 12 16 -0.918429341288023
+2 0 0 0 0 17 12 16 -0.665440370082583
+2 0 0 0 0 18 12 16 -0.297390713553889
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.960389833949881
+3 0 0 0 0 1 12 16 -0.741330886870471
+3 0 0 0 0 2 12 16 -0.394089094671478
+3 0 0 0 0 3 12 16 0.0212942821832435
+3 0 0 0 0 4 12 16 0.432995684196001
+3 0 0 0 0 5 12 16 0.76982819876897
+3 0 0 0 0 6 12 16 0.973550424105155
+3 0 0 0 0 7 12 16 1.00893693668561
+3 0 0 0 0 8 12 16 0.869869087008812
+3 0 0 0 0 9 12 16 0.580392969675619
+3 0 0 0 0 10 12 16 0.190561635180912
+3 0 0 0 0 11 12 16 -0.232219537234683
+3 0 0 0 0 12 12 16 -0.614847842014134
+3 0 0 0 0 13 12 16 -0.891163369192053
+3 0 0 0 0 14 12 16 -1.01338865387162
+3 0 0 0 0 15 12 16 -0.960389833949881
+3 0 0 0 0 16 12 16 -0.741330886870471
+3 0 0 0 0 17 12 16 -0.394089094671478
+3 0 0 0 0 18 12 16 0.0212942821832435
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.808450161375596
+4 0 0 0 0 1 12 16 -0.48662988365203
+4 0 0 0 0 2 12 16 -0.0806668781513223
+4 0 0 0 0 3 12 16 0.33924416341733
+4 0 0 0 0 4 12 16 0.700496807194654
+4 0 0 0 0 5 12 16 0.940627189194312
+4 0 0 0 0 6 12 16 1.01811458485253
+4 0 0 0 0 7 12 16 0.919560719509107
+4 0 0 0 0 8 12 16 0.662006451815686
+4 0 0 0 0 9 12 16 0.289985254463523
+4 0 0 0 0 10 12 16 -0.132177027818715
+4 0 0 0 0 11 12 16 -0.531484701200497
+4 0 0 0 0 12 12 16 -0.838893841357783
+4 0 0 0 0 13 12 16 -1.00125061523301
+4 0 0 0 0 14 12 16 -0.990482061658176
+4 0 0 0 0 15 12 16 -0.808450161375596
+4 0 0 0 0 16 12 16 -0.48662988365203
+4 0 0 0 0 17 12 16 -0.0806668781513223
+4 0 0 0 0 18 12 16 0.33924416341733
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.572074192548717
+5 0 0 0 0 1 12 16 -0.18035042508436
+5 0 0 0 0 2 12 16 0.242557569309257
+5 0 0 0 0 3 12 16 0.623525156402964
+5 0 0 0 0 4 12 16 0.896679579406383
+5 0 0 0 0 5 12 16 1.01478995705219
+5 0 0 0 0 6 12 16 0.957433932046341
+5 0 0 0 0 7 12 16 0.734528882175465
+5 0 0 0 0 8 12 16 0.384617115591046
+5 0 0 0 0 9 12 16 -0.0317984444158663
+5 0 0 0 0 10 12 16 -0.442715764503477
+5 0 0 0 0 11 12 16 -0.77708350696198
+5 0 0 0 0 12 12 16 -0.977086451484721
+5 0 0 0 0 13 12 16 -1.00814227199401
+5 0 0 0 0 14 12 16 -0.864881134990517
+5 0 0 0 0 15 12 16 -0.572074192548717
+5 0 0 0 0 16 12 16 -0.18035042508436
+5 0 0 0 0 17 12 16 0.242557569309257
+5 0 0 0 0 18 12 16 0.623525156402964
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.275360491348877
+6 0 0 0 0 1 12 16 0.146016954416063
+6 0 0 0 0 2 12 16 0.542146742240078
+6 0 0 0 0 3 12 16 0.844534433082251
+6 0 0 0 0 4 12 16 1.00089444809004
+6 0 0 0 0 5 12 16 0.98419072018246
+6 0 0 0 0 6 12 16 0.797311475663331
+6 0 0 0 0 7 12 16 0.472569833654651
+6 0 0 0 0 8 12 16 0.0661165742449202
+6 0 0 0 0 9 12 16 -0.351768841501977
+6 0 0 0 0 10 12 16 -0.708830228833583
+6 0 0 0 0 11 12 16 -0.943328430079393
+6 0 0 0 0 12 12 16 -1.01471657589473
+6 0 0 0 0 13 12 16 -0.910651007327172
+6 0 0 0 0 14 12 16 -0.649125606588065
+6 0 0 0 0 15 12 16 -0.275360491348877
+6 0 0 0 0 16 12 16 0.146016954416063
+6 0 0 0 0 17 12 16 0.542146742240078
+6 0 0 0 0 18 12 16 0.844534433082251
+
+