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authorbentivegna <bentivegna@ef6f4158-a8ee-47d1-ba14-cb73256398e0>2010-07-06 13:48:53 +0000
committerbentivegna <bentivegna@ef6f4158-a8ee-47d1-ba14-cb73256398e0>2010-07-06 13:48:53 +0000
commitf8e8d9b5834a4b6e84835f86d9ad754780870f69 (patch)
treec78e61026562b08348b9a50f0d9c2f836f2504a9
parentb9b374a7cbbe1f658e0235aba26a9ef99da5fd02 (diff)
Fixed redundant factor in area element used for calculation of multipole
moments. The mass multipoles now agree with the Kerr values, the spin ones still do not. Updated testsuites. git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/QuasiLocalMeasures/trunk@22 ef6f4158-a8ee-47d1-ba14-cb73256398e0
-rw-r--r--src/qlm_multipoles.F9042
-rw-r--r--test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc8
-rw-r--r--test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc8
-rw-r--r--test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc8
-rw-r--r--test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc8
-rw-r--r--test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc8
-rw-r--r--test/qlm-minkowski/quasilocalmeasures::qlm_multipole_moments..asc8
7 files changed, 44 insertions, 46 deletions
diff --git a/src/qlm_multipoles.F90 b/src/qlm_multipoles.F90
index 3183d90..570f216 100644
--- a/src/qlm_multipoles.F90
+++ b/src/qlm_multipoles.F90
@@ -29,7 +29,7 @@ subroutine qlm_multipoles (CCTK_ARGUMENTS, hn)
!!$ CCTK_REAL :: kk(3,3)
!!$ CCTK_REAL :: ll(0:3), nn(0:3), ss(0:3)
CCTK_COMPLEX :: psi2
- CCTK_REAL :: zz, dzz(2)
+ CCTK_REAL :: zz
CCTK_REAL :: area, mass, spin
CCTK_REAL :: delta_space(2)
@@ -105,33 +105,31 @@ subroutine qlm_multipoles (CCTK_ARGUMENTS, hn)
zz = qlm_inv_z(i,j,hn)
- dzz(:) = deriv (qlm_inv_z(:,:,hn), i, j, delta_space)
-
area = sqrt(dtq) * qlm_delta_theta(hn) * qlm_delta_phi(hn)
mass = fourth * rsc
- qlm_mp_m0(hn) = qlm_mp_m0(hn) + mass * p0(zz) * dzz(1) * area
- qlm_mp_m1(hn) = qlm_mp_m1(hn) + mass * p1(zz) * dzz(1) * area
- qlm_mp_m2(hn) = qlm_mp_m2(hn) + mass * p2(zz) * dzz(1) * area
- qlm_mp_m3(hn) = qlm_mp_m3(hn) + mass * p3(zz) * dzz(1) * area
- qlm_mp_m4(hn) = qlm_mp_m4(hn) + mass * p4(zz) * dzz(1) * area
- qlm_mp_m5(hn) = qlm_mp_m5(hn) + mass * p5(zz) * dzz(1) * area
- qlm_mp_m6(hn) = qlm_mp_m6(hn) + mass * p6(zz) * dzz(1) * area
- qlm_mp_m7(hn) = qlm_mp_m7(hn) + mass * p7(zz) * dzz(1) * area
- qlm_mp_m8(hn) = qlm_mp_m8(hn) + mass * p8(zz) * dzz(1) * area
+ qlm_mp_m0(hn) = qlm_mp_m0(hn) + mass * p0(zz) * area
+ qlm_mp_m1(hn) = qlm_mp_m1(hn) + mass * p1(zz) * area
+ qlm_mp_m2(hn) = qlm_mp_m2(hn) + mass * p2(zz) * area
+ qlm_mp_m3(hn) = qlm_mp_m3(hn) + mass * p3(zz) * area
+ qlm_mp_m4(hn) = qlm_mp_m4(hn) + mass * p4(zz) * area
+ qlm_mp_m5(hn) = qlm_mp_m5(hn) + mass * p5(zz) * area
+ qlm_mp_m6(hn) = qlm_mp_m6(hn) + mass * p6(zz) * area
+ qlm_mp_m7(hn) = qlm_mp_m7(hn) + mass * p7(zz) * area
+ qlm_mp_m8(hn) = qlm_mp_m8(hn) + mass * p8(zz) * area
- spin = - aimag(psi2)
+ spin = - aimag(psi2) * cos(theta)
- qlm_mp_j0(hn) = qlm_mp_j0(hn) + spin * p0(zz) * dzz(1) * area
- qlm_mp_j1(hn) = qlm_mp_j1(hn) + spin * p1(zz) * dzz(1) * area
- qlm_mp_j2(hn) = qlm_mp_j2(hn) + spin * p2(zz) * dzz(1) * area
- qlm_mp_j3(hn) = qlm_mp_j3(hn) + spin * p3(zz) * dzz(1) * area
- qlm_mp_j4(hn) = qlm_mp_j4(hn) + spin * p4(zz) * dzz(1) * area
- qlm_mp_j5(hn) = qlm_mp_j5(hn) + spin * p5(zz) * dzz(1) * area
- qlm_mp_j6(hn) = qlm_mp_j6(hn) + spin * p6(zz) * dzz(1) * area
- qlm_mp_j7(hn) = qlm_mp_j7(hn) + spin * p7(zz) * dzz(1) * area
- qlm_mp_j8(hn) = qlm_mp_j8(hn) + spin * p8(zz) * dzz(1) * area
+ qlm_mp_j0(hn) = qlm_mp_j0(hn) + spin * p0(zz) * area
+ qlm_mp_j1(hn) = qlm_mp_j1(hn) + spin * p1(zz) * area
+ qlm_mp_j2(hn) = qlm_mp_j2(hn) + spin * p2(zz) * area
+ qlm_mp_j3(hn) = qlm_mp_j3(hn) + spin * p3(zz) * area
+ qlm_mp_j4(hn) = qlm_mp_j4(hn) + spin * p4(zz) * area
+ qlm_mp_j5(hn) = qlm_mp_j5(hn) + spin * p5(zz) * area
+ qlm_mp_j6(hn) = qlm_mp_j6(hn) + spin * p6(zz) * area
+ qlm_mp_j7(hn) = qlm_mp_j7(hn) + spin * p7(zz) * area
+ qlm_mp_j8(hn) = qlm_mp_j8(hn) + spin * p8(zz) * area
!!$ spin = 0
!!$ do a=1,2
diff --git a/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc
index 2533dbb..b202945 100644
--- a/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc
@@ -6,23 +6,23 @@
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-0 0 0 0 0 0 0 0 0 0 0 0 -0.784828508659574 -1.255712956211e-16 0.394436084160111 -3.21474695930373e-15 0.201306431766946 4.02352529746489e-15 0.259808534981209 -1.49019520294235e-14 0.44679273449799 -1.00175948330903e-18 6.20259232503916e-19 1.21131855764936e-18 -3.06716013637578e-18 -1.87595857037115e-18 5.03086118113278e-18 -1.39657589782169e-17 1.67284370583202e-17 9.60366332720873e-17
+0 0 0 0 0 0 0 0 0 0 0 0 1.00042441803044 1.47750602270725e-16 -0.00144167290436645 5.51019117520631e-15 -0.0107498638259479 7.29282536689997e-15 -0.0464881141305313 7.29864933621264e-14 -0.158459687638952 1.17435898959054e-18 -6.024007427877e-19 -8.27738641860844e-19 3.56599131617688e-18 3.21967146352119e-18 -6.3791360438824e-18 1.36532719652663e-17 -2.46710369716047e-17 -1.28900609856858e-16
# iteration 1
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-1 0 0 0 0 0 0 0 0.0125 0 0 0 -0.784751412070078 -3.09445708890425e-16 0.394397481164478 -1.09395051733656e-14 0.201155862158382 -7.90460997296961e-15 0.259092593756262 -3.52879179628955e-14 0.454282145411038 -2.31195445681771e-18 3.60558649209607e-19 2.86212362578792e-18 1.66190623520164e-18 -2.53753939351799e-18 -1.02454630323958e-17 -3.92228636775725e-18 -2.3771755349801e-18 5.24000706685883e-17
+1 0 0 0 0 0 0 0 0.0125 0 0 0 1.0003522796402 -2.01284118057278e-15 -0.0014540502717127 1.59346247285811e-14 -0.0105769561495754 4.72190163483072e-14 -0.0459533092810021 2.1966643388708e-13 -0.166853045183031 2.52089536816639e-18 -7.90588781335905e-19 -2.82339006768132e-18 -1.97374060968492e-18 1.95017725628546e-18 1.35310157705329e-17 2.94837779964685e-18 5.05910146094143e-18 -5.69355210218393e-17
# iteration 2
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-2 0 0 0 0 0 0 0 0.025 0 0 0 -0.784825525632908 -3.1108922320704e-16 0.394304761868794 1.82982646031597e-15 0.202056448690427 -4.08844052307921e-15 0.257637443268979 -5.73047220334937e-14 0.451738207821442 1.13373759893368e-18 -1.83040197459765e-18 -4.12859538056353e-18 3.40850514534886e-19 1.02779216695185e-17 2.29591433870118e-17 2.61552553700365e-17 -3.92947551166297e-17 -1.85428537455816e-16
+2 0 0 0 0 0 0 0 0.025 0 0 0 1.00045948402786 -7.74264402083465e-16 -0.00130067534993741 -1.86886907938361e-15 -0.0115303757659049 1.53774358572637e-14 -0.0444852448163319 1.33174412999733e-13 -0.164742080199176 -8.76887353794699e-19 2.76183652246675e-18 4.42804243656201e-18 -9.59687510726605e-19 -1.40244198892794e-17 -3.09184206283779e-17 -3.20829752008309e-17 4.22554471641259e-17 2.39878574233013e-16
# iteration 3
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-3 0 0 0 0 0 0 0 0.0375 0 0 0 -0.78482780363911 -9.61504822243874e-16 0.394408453370077 -9.400606649521e-15 0.20172772719056 2.04885002755489e-14 0.258009960124327 -1.35434292724905e-13 0.455494975183582 2.16243956256747e-18 -2.58868367165937e-19 -6.26857009849198e-19 3.37019755087524e-18 -2.14965887939775e-18 -7.35023332474828e-18 -3.88192096564698e-19 -1.96752463770092e-17 -2.30129908458274e-17
+3 0 0 0 0 0 0 0 0.0375 0 0 0 1.00042770710726 6.88374664184532e-16 -0.00145129387840971 1.47389038654362e-14 -0.0112786207277736 1.27788968907485e-14 -0.0450925563286849 3.01242605539407e-13 -0.168563582852634 -2.78983080676204e-18 -5.73816492064032e-20 -4.02631936563921e-19 -4.18709429727636e-18 2.6572956962657e-18 1.01267848035408e-17 4.11149450099117e-18 3.49440607019065e-17 2.40805427808318e-17
diff --git a/test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc
index 1777056..e59ecbd 100644
--- a/test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc
@@ -6,23 +6,23 @@
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-0 0 0 0 0 0 0 0 0 0 0 0 -1.01447473238406 -1.89355829869628e-06 0.885169393450643 -2.97277918567918e-05 -0.522414327250454 0.000147877728190295 0.202161289291685 -0.000384890284883852 -0.0414668440343871 -3.02351851468391e-18 -1.27347800168616e-18 -1.35988125836227e-18 4.38834546970564e-18 1.70567040498973e-17 -7.06438857377468e-18 -4.19950498119663e-17 3.2944439815358e-18 5.96438169135773e-17
+0 0 0 0 0 0 0 0 0 0 0 0 1.00040694198656 7.80227286879225e-06 -0.617583236490001 2.8602585845851e-06 0.213918205298455 -4.30239581655857e-05 -0.0538313764787087 0.000407168950280661 0.0179740519121403 3.75968491688725e-18 1.0894318623898e-18 1.50067326069101e-18 -4.64768537089827e-18 -1.79041731652005e-17 5.44948867334866e-18 3.53997585414333e-17 -2.48938669781033e-19 -5.11992567960919e-17
# iteration 1
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-1 0 0 0 0 0 0 0 0.05 0 0 0 -1.01461920246999 -0.00186857987514032 0.885208877544401 0.00213434776876139 -0.522396064778691 0.000403691121016369 0.202666098488171 -0.00180568528114968 -0.0423636425421336 -7.35478386800611e-18 1.73768524495011e-18 9.53819090075399e-18 -2.30134284068997e-18 -1.60478015121191e-17 -3.416494825246e-18 1.21551708703961e-17 3.20615379045973e-17 2.37444313306018e-17
+1 0 0 0 0 0 0 0 0.05 0 0 0 1.00043418034877 -0.000192634355788051 -0.617456126691936 0.000788462451393104 0.213838879059144 2.6548658286892e-05 -0.0543093584804678 0.00238032631605057 0.0198136655849009 6.60376797105381e-18 -2.39571358211277e-18 -7.2847374429891e-18 2.06651007363449e-18 1.49695572680262e-17 4.58042470919737e-18 -9.86184026209432e-18 -1.6966364328182e-17 -5.52547872883005e-17
# iteration 2
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-2 0 0 0 0 0 0 0 0.1 0 0 0 -1.01472272250234 -0.003785544442203 0.885603869681198 0.00439224388456901 -0.522758438502078 0.00108070827397827 0.202676351520508 -0.0040071232696745 -0.0410175640220365 -3.12151211963085e-18 -3.72947148263836e-18 5.92336850686663e-18 1.20179643696554e-17 -6.2659470429195e-18 -1.74173383847097e-17 -1.35707430859439e-17 -1.66527318426602e-17 5.04056677655301e-17
+2 0 0 0 0 0 0 0 0.1 0 0 0 1.00036194327938 -0.000337757901544631 -0.617793476001829 0.00141180418646456 0.213557417464375 -0.000475171546161969 -0.0552012887609242 0.00552811860847181 0.0156983486172237 1.989813406343e-18 3.58466053235405e-18 -6.34581039982795e-18 -1.20265612032526e-17 6.0969480017379e-18 1.53266599215829e-17 2.01366737910475e-17 1.69208780410736e-17 -3.43480487376241e-17
# iteration 3
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-3 0 0 0 0 0 0 0 0.15 0 0 0 -1.01505423456465 -0.0056170082632597 0.886228141182964 0.00667395110569731 -0.523330723960714 0.00113443158473446 0.202229854429553 -0.00667459953048038 -0.036761372341342 -7.72490511429968e-19 -3.29250385687996e-18 1.70525717550361e-19 9.59561046786982e-18 2.44576057582195e-18 -1.30637196247456e-17 -1.10146632500971e-17 2.20323719866487e-18 4.59027588837519e-17
+3 0 0 0 0 0 0 0 0.15 0 0 0 1.00028932514465 -0.000613447937504299 -0.618116347220184 0.00201855559517528 0.213375162775771 -3.46559088887122e-06 -0.055848737184742 0.00963165552284155 0.00759012299958266 7.99274410553584e-19 3.30040714634757e-18 -1.26520383034036e-19 -9.72511266052789e-18 -2.46171158549316e-18 9.25713364818327e-18 7.46442783239801e-18 2.54582024046396e-19 -4.17253679759417e-17
diff --git a/test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc
index 54ae7d8..1e0a2f3 100644
--- a/test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc
@@ -6,23 +6,23 @@
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-0 0 0 0 0 0 0 0 0 0 0 0 -0.94945301146831 1.6079420990027e-11 0.805938724376095 -5.37453899170797e-11 -0.440891581365074 -5.48432882445367e-10 0.163719632606865 4.93578165007696e-09 -0.0249577746713848 -1.68790852954224e-18 -7.47790588126772e-19 2.07552932541155e-18 9.82161507446365e-19 3.10253453448476e-18 1.57962717135905e-19 -2.41659796394307e-17 4.3668193136987e-18 2.31450766132282e-17
+0 0 0 0 0 0 0 0 0 0 0 0 0.999937056863577 3.50869288787532e-13 -0.618268870095834 9.08686544268638e-11 0.213698148767826 2.46870607393927e-10 -0.0596994382434838 -5.08128517723677e-09 0.00883482896174522 1.35033780477209e-18 1.03519972088345e-18 -2.93648366723758e-18 -9.62728841189551e-19 -3.83803548481169e-18 -1.81219872449001e-18 2.65099865322456e-17 -6.79120212211203e-18 -3.59747034829062e-17
# iteration 1
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-1 0 0 0 0 0 0 0 0.05 0 0 0 -0.949544724667768 -0.00233069792422246 0.806072621066229 0.00346523665588609 -0.441107599797416 -0.00101512285982356 0.163331866154628 -0.00101342827516976 -0.0244643108925615 6.57936076936724e-19 -8.62361047537384e-19 7.77307116245504e-19 4.43521203708008e-19 -5.9284267959357e-18 6.60847900946691e-18 -6.19921986118104e-19 -1.13059924429336e-17 4.41493465829384e-17
+1 0 0 0 0 0 0 0 0.05 0 0 0 0.999887603718274 -0.0001721692955235 -0.61828227496977 0.000411823691116633 0.213987878862922 -6.90050282882127e-05 -0.058835523856282 0.00262438593011848 0.00870614489627397 -8.10372938686076e-19 1.2556932154934e-18 -3.34027595721159e-19 -7.82597558502717e-19 8.58421427938878e-18 -8.22631751405393e-18 1.67707373341538e-18 1.61486447877111e-17 -5.89775089800804e-17
# iteration 2
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-2 0 0 0 0 0 0 0 0.1 0 0 0 -0.949750565616363 -0.00471390997719532 0.806434714478394 0.00690791957579584 -0.441353130924695 -0.00190099423571628 0.163188774898769 -0.00125066010641257 -0.0233324714688035 3.56231507674614e-18 -2.11611062409201e-18 -2.47489531510157e-18 4.73298687361481e-18 -6.01347830878171e-19 -3.58311258556276e-19 1.91033064471479e-17 4.23205373703594e-18 -6.66642102647008e-17
+2 0 0 0 0 0 0 0 0.1 0 0 0 0.999863499764014 -0.000237025070804553 -0.618481990223707 0.000891910920499714 0.213776511468995 -0.000452222326098095 -0.0591388136058161 0.00363283026412471 0.00600442868192941 -3.96874372287907e-18 2.35405807161885e-18 1.44871315490877e-18 -5.94284989888461e-18 -2.24121984277384e-20 -4.34031613642724e-18 -1.71681022569904e-17 -1.64379248978675e-18 8.82226465140124e-17
# iteration 3
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-3 0 0 0 0 0 0 0 0.15 0 0 0 -0.950174503233097 -0.00701909589127314 0.806944393352983 0.010314509618594 -0.44168686400313 -0.00325930734081304 0.16357443970045 -0.00122305163265139 -0.0220390578912329 -5.68200663781166e-20 -6.21295657317249e-19 -9.06147844864705e-19 4.36234002588043e-18 4.61115131841136e-18 -1.96053281483902e-17 -2.35803446853865e-17 4.54176605129514e-17 8.87957223087526e-17
+3 0 0 0 0 0 0 0 0.15 0 0 0 0.99987578094955 -0.000413043710021294 -0.618599224704771 0.00142202127744773 0.213416263949739 -9.189190432396e-05 -0.0603013275839471 0.00474763621387605 0.002828775738372 2.65605220032844e-19 4.01612936166778e-19 1.00563236442683e-18 -3.59832671273594e-18 -3.9014932312885e-18 1.99319638598871e-17 1.91445802335212e-17 -4.63084290660449e-17 -1.01149232076715e-16
diff --git a/test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc
index d9cdd77..d18e6a6 100644
--- a/test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc
@@ -6,23 +6,23 @@
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-0 0 0 0 0 0 0 0 0 0 0 0 -0.902657363131072 -0.130108826454753 0.709426834594668 0.199828845463309 -0.28381128960069 -0.0845586242410282 -0.0436067162773725 0.0756199200280129 -0.23373653942828 -3.1214832170826e-19 3.48165510293008e-19 2.76758676607858e-18 2.37185119315243e-18 1.91563382370558e-19 -5.19738149841109e-18 -3.16260897008976e-17 3.49979648787106e-18 5.9015579019174e-17
+0 0 0 0 0 0 0 0 0 0 0 0 0.97031631221606 0.138623565963554 -0.516281132892498 -0.1043013862262 0.100914041180496 0.0694661046362951 0.180122585780888 -0.0211498629503901 0.976154923797661 -6.22312347629015e-19 -7.61358759698448e-19 -4.50849741602752e-18 -3.24245556883051e-18 -5.70417920141257e-20 2.74150768505456e-18 3.69807396011216e-17 -3.96413731642355e-18 -7.71927288904953e-17
# iteration 1
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-1 0 0 0 0 0 0 0 0.05 0 0 0 -0.902657363131072 -0.130108826454753 0.709426834594668 0.199828845463309 -0.28381128960069 -0.0845586242410282 -0.0436067162773725 0.0756199200280129 -0.23373653942828 -3.1214832170826e-19 3.48165510293008e-19 2.76758676607858e-18 2.37185119315243e-18 1.91563382370558e-19 -5.19738149841109e-18 -3.16260897008976e-17 3.49979648787106e-18 5.9015579019174e-17
+1 0 0 0 0 0 0 0 0.05 0 0 0 0.97031631221606 0.138623565963554 -0.516281132892498 -0.1043013862262 0.100914041180496 0.0694661046362951 0.180122585780888 -0.0211498629503901 0.976154923797661 -6.22312347629015e-19 -7.61358759698448e-19 -4.50849741602752e-18 -3.24245556883051e-18 -5.70417920141257e-20 2.74150768505456e-18 3.69807396011216e-17 -3.96413731642355e-18 -7.71927288904953e-17
# iteration 2
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-2 0 0 0 0 0 0 0 0.1 0 0 0 -0.902657363131072 -0.130108826454753 0.709426834594668 0.199828845463309 -0.28381128960069 -0.0845586242410282 -0.0436067162773725 0.0756199200280129 -0.23373653942828 -3.1214832170826e-19 3.48165510293008e-19 2.76758676607858e-18 2.37185119315243e-18 1.91563382370558e-19 -5.19738149841109e-18 -3.16260897008976e-17 3.49979648787106e-18 5.9015579019174e-17
+2 0 0 0 0 0 0 0 0.1 0 0 0 0.97031631221606 0.138623565963554 -0.516281132892498 -0.1043013862262 0.100914041180496 0.0694661046362951 0.180122585780888 -0.0211498629503901 0.976154923797661 -6.22312347629015e-19 -7.61358759698448e-19 -4.50849741602752e-18 -3.24245556883051e-18 -5.70417920141257e-20 2.74150768505456e-18 3.69807396011216e-17 -3.96413731642355e-18 -7.71927288904953e-17
# iteration 3
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-3 0 0 0 0 0 0 0 0.15 0 0 0 -0.902657363131072 -0.130108826454753 0.709426834594668 0.199828845463309 -0.28381128960069 -0.0845586242410282 -0.0436067162773725 0.0756199200280129 -0.23373653942828 -3.1214832170826e-19 3.48165510293008e-19 2.76758676607858e-18 2.37185119315243e-18 1.91563382370558e-19 -5.19738149841109e-18 -3.16260897008976e-17 3.49979648787106e-18 5.9015579019174e-17
+3 0 0 0 0 0 0 0 0.15 0 0 0 0.97031631221606 0.138623565963554 -0.516281132892498 -0.1043013862262 0.100914041180496 0.0694661046362951 0.180122585780888 -0.0211498629503901 0.976154923797661 -6.22312347629015e-19 -7.61358759698448e-19 -4.50849741602752e-18 -3.24245556883051e-18 -5.70417920141257e-20 2.74150768505456e-18 3.69807396011216e-17 -3.96413731642355e-18 -7.71927288904953e-17
diff --git a/test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc
index 6ce3e07..b28194d 100644
--- a/test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc
@@ -6,23 +6,23 @@
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-0 0 0 0 0 0 0 0 0 0 0 0 -0.949453011468317 1.60784960479676e-11 0.805938724376094 -5.37333513754713e-11 -0.440891581365068 -5.48448232506784e-10 0.163719632606834 4.93588454627518e-09 -0.0249577746713099 -4.28090554242257e-18 -1.44309740887673e-18 2.90143007464556e-18 1.10203435055233e-18 2.71736209098075e-18 1.55305868915781e-17 -2.00443378372028e-17 -9.00356712690232e-17 6.1860905716924e-17
+0 0 0 0 0 0 0 0 0 0 0 0 0.999937056863573 3.4219084023713e-13 -0.618268870095846 9.08242520279696e-11 0.213698148767801 2.46782034470938e-10 -0.059699438243503 -5.08167011816891e-09 0.00883482896151965 4.66310588263245e-18 2.06437193643206e-18 -2.05972959903239e-18 -1.60419404757834e-18 -2.71426518606062e-18 -1.30900749563443e-17 2.10639224263596e-17 9.30752634419414e-17 -5.23944518495101e-17
# iteration 1
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-1 0 0 0 0 0 0 0 0.05 0 0 0 -0.949453011468317 1.60784960479676e-11 0.805938724376094 -5.37333513754713e-11 -0.440891581365068 -5.48448232506784e-10 0.163719632606834 4.93588454627518e-09 -0.0249577746713099 -4.28090554242257e-18 -1.44309740887673e-18 2.90143007464556e-18 1.10203435055233e-18 2.71736209098075e-18 1.55305868915781e-17 -2.00443378372028e-17 -9.00356712690232e-17 6.1860905716924e-17
+1 0 0 0 0 0 0 0 0.05 0 0 0 0.999937056863573 3.4219084023713e-13 -0.618268870095846 9.08242520279696e-11 0.213698148767801 2.46782034470938e-10 -0.059699438243503 -5.08167011816891e-09 0.00883482896151965 4.66310588263245e-18 2.06437193643206e-18 -2.05972959903239e-18 -1.60419404757834e-18 -2.71426518606062e-18 -1.30900749563443e-17 2.10639224263596e-17 9.30752634419414e-17 -5.23944518495101e-17
# iteration 2
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-2 0 0 0 0 0 0 0 0.1 0 0 0 -0.949453011468317 1.60784960479676e-11 0.805938724376094 -5.37333513754713e-11 -0.440891581365068 -5.48448232506784e-10 0.163719632606834 4.93588454627518e-09 -0.0249577746713099 -4.28090554242257e-18 -1.44309740887673e-18 2.90143007464556e-18 1.10203435055233e-18 2.71736209098075e-18 1.55305868915781e-17 -2.00443378372028e-17 -9.00356712690232e-17 6.1860905716924e-17
+2 0 0 0 0 0 0 0 0.1 0 0 0 0.999937056863573 3.4219084023713e-13 -0.618268870095846 9.08242520279696e-11 0.213698148767801 2.46782034470938e-10 -0.059699438243503 -5.08167011816891e-09 0.00883482896151965 4.66310588263245e-18 2.06437193643206e-18 -2.05972959903239e-18 -1.60419404757834e-18 -2.71426518606062e-18 -1.30900749563443e-17 2.10639224263596e-17 9.30752634419414e-17 -5.23944518495101e-17
# iteration 3
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-3 0 0 0 0 0 0 0 0.15 0 0 0 -0.949453011468317 1.60784960479676e-11 0.805938724376094 -5.37333513754713e-11 -0.440891581365068 -5.48448232506784e-10 0.163719632606834 4.93588454627518e-09 -0.0249577746713099 -4.28090554242257e-18 -1.44309740887673e-18 2.90143007464556e-18 1.10203435055233e-18 2.71736209098075e-18 1.55305868915781e-17 -2.00443378372028e-17 -9.00356712690232e-17 6.1860905716924e-17
+3 0 0 0 0 0 0 0 0.15 0 0 0 0.999937056863573 3.4219084023713e-13 -0.618268870095846 9.08242520279696e-11 0.213698148767801 2.46782034470938e-10 -0.059699438243503 -5.08167011816891e-09 0.00883482896151965 4.66310588263245e-18 2.06437193643206e-18 -2.05972959903239e-18 -1.60419404757834e-18 -2.71426518606062e-18 -1.30900749563443e-17 2.10639224263596e-17 9.30752634419414e-17 -5.23944518495101e-17
diff --git a/test/qlm-minkowski/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-minkowski/quasilocalmeasures::qlm_multipole_moments..asc
index ed6de62..4eadd7f 100644
--- a/test/qlm-minkowski/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-minkowski/quasilocalmeasures::qlm_multipole_moments..asc
@@ -6,23 +6,23 @@
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-0 0 0 0 0 0 0 0 0 0 0 0 -0.784748116784676 2.78908349595892e-16 0.394518852272564 -2.38694300545776e-15 0.200525094392784 -2.51479187906703e-14 0.256817074507714 -4.46942924460937e-14 0.463659628512012 3.49867502913406e-32 2.92548163185694e-33 -3.42779878525142e-32 -6.95576864838405e-32 2.05214298392255e-31 2.64515247946309e-31 -5.76523628267489e-31 -7.37726866517123e-32 -1.12056127386731e-30
+0 0 0 0 0 0 0 0 0 0 0 0 1.00033646182542 -8.30100322335513e-15 -0.00150366675415216 -2.31521847811909e-14 -0.00941911501347493 -6.86898886449713e-14 -0.0424531724488198 -3.68731238645322e-13 -0.178795926485536 -4.61835070354336e-32 -7.13171845000887e-33 -8.18806756161642e-35 3.36862323254905e-32 -2.63867514843306e-31 -5.32727871257284e-31 7.1031593481397e-31 -1.07222487591878e-30 1.64236331363815e-30
# iteration 1
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-1 0 0 0 0 0 0 0 0.05 0 0 0 -0.784748116784676 2.78908349595892e-16 0.394518852272564 -2.38694300545776e-15 0.200525094392784 -2.51479187906703e-14 0.256817074507714 -4.46942924460937e-14 0.463659628512012 3.49867502913406e-32 2.92548163185694e-33 -3.42779878525142e-32 -6.95576864838405e-32 2.05214298392255e-31 2.64515247946309e-31 -5.76523628267489e-31 -7.37726866517123e-32 -1.12056127386731e-30
+1 0 0 0 0 0 0 0 0.05 0 0 0 1.00033646182542 -8.30100322335513e-15 -0.00150366675415216 -2.31521847811909e-14 -0.00941911501347493 -6.86898886449713e-14 -0.0424531724488198 -3.68731238645322e-13 -0.178795926485536 -4.61835070354336e-32 -7.13171845000887e-33 -8.18806756161642e-35 3.36862323254905e-32 -2.63867514843306e-31 -5.32727871257284e-31 7.1031593481397e-31 -1.07222487591878e-30 1.64236331363815e-30
# iteration 2
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-2 0 0 0 0 0 0 0 0.1 0 0 0 -0.784748116784676 2.78908349595892e-16 0.394518852272564 -2.38694300545776e-15 0.200525094392784 -2.51479187906703e-14 0.256817074507714 -4.46942924460937e-14 0.463659628512012 3.49867502913406e-32 2.92548163185694e-33 -3.42779878525142e-32 -6.95576864838405e-32 2.05214298392255e-31 2.64515247946309e-31 -5.76523628267489e-31 -7.37726866517123e-32 -1.12056127386731e-30
+2 0 0 0 0 0 0 0 0.1 0 0 0 1.00033646182542 -8.30100322335513e-15 -0.00150366675415216 -2.31521847811909e-14 -0.00941911501347493 -6.86898886449713e-14 -0.0424531724488198 -3.68731238645322e-13 -0.178795926485536 -4.61835070354336e-32 -7.13171845000887e-33 -8.18806756161642e-35 3.36862323254905e-32 -2.63867514843306e-31 -5.32727871257284e-31 7.1031593481397e-31 -1.07222487591878e-30 1.64236331363815e-30
# iteration 3
# refinement level 0 multigrid level 0 map 0 component 0 time level 0
# column format: 1:it 2:tl 3:rl 4:c 5:ml 6:ix 7:iy 8:iz 9:time 10:x 11:y 12:z 13:data
# data columns: 13:qlm_mp_m0[0] 14:qlm_mp_m1[0] 15:qlm_mp_m2[0] 16:qlm_mp_m3[0] 17:qlm_mp_m4[0] 18:qlm_mp_m5[0] 19:qlm_mp_m6[0] 20:qlm_mp_m7[0] 21:qlm_mp_m8[0] 22:qlm_mp_j0[0] 23:qlm_mp_j1[0] 24:qlm_mp_j2[0] 25:qlm_mp_j3[0] 26:qlm_mp_j4[0] 27:qlm_mp_j5[0] 28:qlm_mp_j6[0] 29:qlm_mp_j7[0] 30:qlm_mp_j8[0]
-3 0 0 0 0 0 0 0 0.15 0 0 0 -0.784748116784676 2.78908349595892e-16 0.394518852272564 -2.38694300545776e-15 0.200525094392784 -2.51479187906703e-14 0.256817074507714 -4.46942924460937e-14 0.463659628512012 3.49867502913406e-32 2.92548163185694e-33 -3.42779878525142e-32 -6.95576864838405e-32 2.05214298392255e-31 2.64515247946309e-31 -5.76523628267489e-31 -7.37726866517123e-32 -1.12056127386731e-30
+3 0 0 0 0 0 0 0 0.15 0 0 0 1.00033646182542 -8.30100322335513e-15 -0.00150366675415216 -2.31521847811909e-14 -0.00941911501347493 -6.86898886449713e-14 -0.0424531724488198 -3.68731238645322e-13 -0.178795926485536 -4.61835070354336e-32 -7.13171845000887e-33 -8.18806756161642e-35 3.36862323254905e-32 -2.63867514843306e-31 -5.32727871257284e-31 7.1031593481397e-31 -1.07222487591878e-30 1.64236331363815e-30