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diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl
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+# HYDROTOY::vz x (vz)
+#
+# 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 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# 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 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# 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 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.577480248216561
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123353
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513215
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.577480248216561
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# 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 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595699
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308998
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216132
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595699
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308998
+
+
+# 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 -0.500385047305991
+4 0 0 0 0 1 12 16 -0.295557108392471
+4 0 0 0 0 2 12 16 -0.0396246603858532
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677397
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.63002123984767
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.500385047305991
+4 0 0 0 0 16 12 16 -0.295557108392471
+4 0 0 0 0 17 12 16 -0.0396246603858532
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# 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 -0.347232808041161
+5 0 0 0 0 1 12 16 -0.0989793588236514
+5 0 0 0 0 2 12 16 0.166388520733716
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388576
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237325
+5 0 0 0 0 15 12 16 -0.347232808041161
+5 0 0 0 0 16 12 16 -0.0989793588236514
+5 0 0 0 0 17 12 16 0.166388520733716
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# 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 -0.157316535477105
+6 0 0 0 0 1 12 16 0.108328421385468
+6 0 0 0 0 2 12 16 0.355242410057682
+6 0 0 0 0 3 12 16 0.54073175875494
+6 0 0 0 0 4 12 16 0.63272367396966
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.565773027605821
+6 0 0 0 0 14 12 16 -0.395760034179829
+6 0 0 0 0 15 12 16 -0.157316535477105
+6 0 0 0 0 16 12 16 0.108328421385468
+6 0 0 0 0 17 12 16 0.355242410057682
+6 0 0 0 0 18 12 16 0.54073175875494
+
+