Fixed sign typo in Legendre polynomial derivative dp5. Regenerated testsuites

to reflect the correct value of J5.


git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/QuasiLocalMeasures/trunk@27 ef6f4158-a8ee-47d1-ba14-cb73256398e0

6 files changed, 20 insertions, 20 deletions

diff --git a/src/qlm_multipoles.F90 b/src/qlm_multipoles.F90
index 9068f89..b8fab9b 100644
--- a/src/qlm_multipoles.F90
+++ b/src/qlm_multipoles.F90
@@ -220,7 +220,7 @@ contains
   function dp5 (z)
     CCTK_REAL, intent(in) :: z
     CCTK_REAL             :: dp5
-    dp5 = 315*eighth * z**4 - 105*fourth * z**2 - 15*eighth
+    dp5 = 315*eighth * z**4 - 105*fourth * z**2 + 15*eighth
   end function dp5
   
   function dp6 (z)
diff --git a/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc
index 642eb41..19d85b1 100644
--- a/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc
+++ b/test/qlm-bl/quasilocalmeasures::qlm_multipole_moments..asc
@@ -12,17 +12,17 @@
 # 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	1.0003522796402 -1.96632887954804e-15 -0.00145405027172169 1.64556361260679e-14 -0.0105769561496115 4.88988626031823e-14 -0.0459533092811432 2.26397937002823e-13 -0.16685304518359 0 2.50695960537485e-18 -6.28930726394062e-19 2.91922386186634e-17 4.2441828444572e-18 1.64701857577056e-17 -3.99518462593107e-18 6.46541958702593e-16 2.14032886601322e-17
+1	0 0 0 0	0 0 0	0.0125	0 0 0	1.0003522796402 -1.96632887954804e-15 -0.00145405027172169 1.64556361260679e-14 -0.0105769561496115 4.88988626031823e-14 -0.0459533092811432 2.26397937002823e-13 -0.16685304518359 0 2.50695960537485e-18 -6.28930726394062e-19 2.91922386186634e-17 4.2441828444572e-18 1.66887261387124e-16 -3.99518462593107e-18 6.46541958702593e-16 2.14032886601322e-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	1.00045948402786 -8.60300490577869e-16 -0.00130067534994272 -2.52340291794454e-15 -0.011530375765926 1.41079926084631e-14 -0.0444852448164173 1.31632203999517e-13 -0.164742080199493 0 2.62344846913631e-18 -6.92435418621129e-19 3.02389535312012e-17 2.67887292067968e-18 4.91015078303386e-17 -1.53594070911111e-17 7.75859559139017e-16 2.56703170487721e-17
+2	0 0 0 0	0 0 0	0.025	0 0 0	1.00045948402786 -8.60300490577869e-16 -0.00130067534994272 -2.52340291794454e-15 -0.011530375765926 1.41079926084631e-14 -0.0444852448164173 1.31632203999517e-13 -0.164742080199493 0 2.62344846913631e-18 -6.92435418621129e-19 3.02389535312012e-17 2.67887292067968e-18 2.06495660475564e-16 -1.53594070911111e-17 7.75859559139017e-16 2.56703170487721e-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	0.0375	0 0 0	1.00042770710726 7.86058191970074e-16 -0.00145129387840355 1.58561243740898e-14 -0.0112786207277493 1.54075076433911e-14 -0.0450925563285889 3.04393277977251e-13 -0.168563582852261 0 1.49971278501501e-18 -2.54731700051324e-18 1.92912129518866e-17 4.91956496787884e-18 6.43072880711529e-17 3.76134172204624e-19 6.59680233384898e-16 -1.37721960137493e-17
+3	0 0 0 0	0 0 0	0.0375	0 0 0	1.00042770710726 7.86058191970074e-16 -0.00145129387840355 1.58561243740898e-14 -0.0112786207277493 1.54075076433911e-14 -0.0450925563285889 3.04393277977251e-13 -0.168563582852261 0 1.49971278501501e-18 -2.54731700051324e-18 1.92912129518866e-17 4.91956496787884e-18 1.54284212517137e-16 3.76134172204624e-19 6.59680233384898e-16 -1.37721960137493e-17
 
diff --git a/test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks-boosted/quasilocalmeasures::qlm_multipole_moments..asc
index 0e1835b..f71c830 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	1.00040694198656 7.80227286879225e-06 -0.617583236490001 2.8602585845851e-06 0.213918205298455 -4.30239581655857e-05 -0.0538313764787087 0.000407168950280661 0.0179740519121403 0 0.801280263656875 7.70636826567791e-05 -0.339098652342095 0.00014934378514039 -30.6563290165878 0.000607171290766508 -0.0262241305779002 0.00128809948249204
+0	0 0 0 0	0 0 0	0	0 0 0	1.00040694198656 7.80227286872514e-06 -0.61758323649 2.86025858413665e-06 0.213918205298456 -4.30239581653643e-05 -0.0538313764787075 0.000407168950280349 0.0179740519121424 0 0.801280263656875 7.70636826565961e-05 -0.339098652342094 0.00014934378513786 0.10880344987504 0.000607171290763803 -0.0262241305778879 0.0012880994824986
 
 # 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	1.00043418034877 -0.000192634355788051 -0.617456126691936 0.000788462451393104 0.213838879059144 2.6548658286892e-05 -0.0543093584804678 0.00238032631605057 0.0198136655849009 0 0.801296716928264 0.000203189238989657 -0.338947829177052 0.00139252444817344 -30.6566919299519 0.00494477153999674 -0.0249911861879826 0.016865855604219
+1	0 0 0 0	0 0 0	0.05	0 0 0	1.00043418034877 -0.000192634355788044 -0.617456126691936 0.000788462451393108 0.213838879059144 2.65486582867862e-05 -0.0543093584804677 0.00238032631605121 0.019813665584901 0 0.801296716928264 0.000203189238989641 -0.338947829177052 0.00139252444817342 0.109235727281743 0.00494477153999594 -0.0249911861879827 0.0168658556042226
 
 # 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	1.00036194327938 -0.000337757901544631 -0.617793476001829 0.00141180418646456 0.213557417464375 -0.000475171546161969 -0.0552012887609242 0.00552811860847181 0.0156983486172237 0 0.801154078870608 0.000330512374495569 -0.34012966371166 0.00257251232269496 -30.6548368095158 0.00885874099925465 -0.034732129483476 0.0309366626226822
+2	0 0 0 0	0 0 0	0.1	0 0 0	1.00036194327938 -0.000337757901544586 -0.617793476001829 0.00141180418646472 0.213557417464375 -0.000475171546161597 -0.0552012887609254 0.00552811860847238 0.0156983486172175 0 0.801154078870607 0.000330512374495704 -0.340129663711661 0.00257251232269601 0.106242523841136 0.00885874099925817 -0.0347321294834859 0.0309366626226684
 
 # 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	1.00028932514465 -0.000613447937504299 -0.618116347220184 0.00201855559517528 0.213375162775771 -3.46559088887122e-06 -0.055848737184742 0.00963165552284155 0.00759012299958266 0 0.801011441154851 0.000461520986530021 -0.3413247347842 0.00375550538350623 -30.6529918941962 0.0129908714191077 -0.044316635468386 0.0459875748347507
+3	0 0 0 0	0 0 0	0.15	0 0 0	1.00028932514465 -0.000613447937504296 -0.618116347220184 0.00201855559517548 0.213375162775771 -3.4655908889192e-06 -0.0558487371847417 0.00963165552284089 0.00759012299958635 0 0.801011441154851 0.00046152098652996 -0.341324734784199 0.00375550538350726 0.103232673014112 0.0129908714191096 -0.0443166354683879 0.0459875748347533
 
diff --git a/test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks-shifted/quasilocalmeasures::qlm_multipole_moments..asc
index 139c9eb..6551faa 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	0.999937056863577 3.50871739391028e-13 -0.618268870095834 9.08686197875687e-11 0.213698148767826 2.46870537292533e-10 -0.0596994382434837 -5.08128505989359e-09 0.00883482896174453 0 0.800868863706091 3.45317609647364e-11 -0.341038334033058 -1.24834506291831e-10 -30.6534891365246 -5.93839169221525e-11 -0.0523811088164319 1.5609784569336e-09
+0	0 0 0 0	0 0 0	0	0 0 0	0.999937056863577 3.50871739391028e-13 -0.618268870095834 9.08686197875687e-11 0.213698148767826 2.46870537292533e-10 -0.0596994382434837 -5.08128505989359e-09 0.00883482896174453 0 0.800868863706091 3.45317609647364e-11 -0.341038334033058 -1.24834506291831e-10 0.0980168525580709 -5.93839169221525e-11 -0.0523811088164319 1.5609784569336e-09
 
 # 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	0.999887603718274 -0.000172169295523508 -0.61828227496977 0.000411823691116611 0.213987878862922 -6.90050282881169e-05 -0.058835523856282 0.00262438593011833 0.00870614489627349 0 0.800886260642397 6.99623848441615e-05 -0.340902547192819 0.000743351477328641 -30.6535533414683 0.00270309705474043 -0.0506905715831118 0.00966197332527487
+1	0 0 0 0	0 0 0	0.05	0 0 0	0.999887603718274 -0.000172169295523508 -0.61828227496977 0.000411823691116611 0.213987878862922 -6.90050282881169e-05 -0.058835523856282 0.00262438593011833 0.00870614489627349 0 0.800886260642397 6.99623848441615e-05 -0.340902547192819 0.000743351477328641 0.0984683610799917 0.00270309705474043 -0.0506905715831118 0.00966197332527487
 
 # 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	0.999863499764014 -0.000237025070804588 -0.618481990223708 0.000891910920499822 0.213776511468994 -0.000452222326098259 -0.0591388136058211 0.00363283026412492 0.00600442868191395 0 0.800809293013634 0.000138647176632085 -0.341554755132115 0.00143683744108147 -30.6522315707129 0.00516323788787656 -0.0562360226863561 0.0183006512028204
+2	0 0 0 0	0 0 0	0.1	0 0 0	0.999863499764014 -0.000237025070804588 -0.618481990223708 0.000891910920499822 0.213776511468994 -0.000452222326098259 -0.0591388136058211 0.00363283026412492 0.00600442868191395 0 0.800809293013634 0.000138647176632085 -0.341554755132115 0.00143683744108147 0.0967326393371934 0.00516323788787656 -0.0562360226863561 0.0183006512028204
 
 # 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	0.99987578094955 -0.000413043710021329 -0.618599224704772 0.00142202127744765 0.213416263949739 -9.18919043241571e-05 -0.0603013275839476 0.0047476362138777 0.00282877573836909 0 0.80072781427947 0.000205882953427361 -0.342246537711623 0.00217174101928205 -30.6507738845151 0.00793383021253569 -0.0622382919978676 0.0280021549623194
+3	0 0 0 0	0 0 0	0.15	0 0 0	0.99987578094955 -0.000413043710021329 -0.618599224704772 0.00142202127744765 0.213416263949739 -9.18919043241571e-05 -0.0603013275839476 0.0047476362138777 0.00282877573836909 0 0.80072781427947 0.000205882953427361 -0.342246537711623 0.00217174101928205 0.0949193106711219 0.00793383021253569 -0.0622382919978676 0.0280021549623194
 
diff --git a/test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks-tilted/quasilocalmeasures::qlm_multipole_moments..asc
index cfe645e..62ced32 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	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 -28.6009388252104 1.82828454519307 0.439106511707861 7.0911489111833
+0	0 0 0 0	0 0 0	0	0 0 0	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 0.0857390541594715 1.82828454519307 0.439106511707861 7.0911489111833
 
 # 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	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 -28.6009388252104 1.82828454519307 0.439106511707861 7.0911489111833
+1	0 0 0 0	0 0 0	0.05	0 0 0	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 0.0857390541594715 1.82828454519307 0.439106511707861 7.0911489111833
 
 # 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	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 -28.6009388252104 1.82828454519307 0.439106511707861 7.0911489111833
+2	0 0 0 0	0 0 0	0.1	0 0 0	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 0.0857390541594715 1.82828454519307 0.439106511707861 7.0911489111833
 
 # 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	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 -28.6009388252104 1.82828454519307 0.439106511707861 7.0911489111833
+3	0 0 0 0	0 0 0	0.15	0 0 0	0.97031631221606 0.138623565963554 -0.516281132892498 -0.104301386226201 0.100914041180496 0.0694661046362952 0.180122585780887 -0.0211498629503898 0.976154923797664 0 0.718547778476838 0.446632575721338 -0.233053807301787 0.537256951691798 0.0857390541594715 1.82828454519307 0.439106511707861 7.0911489111833
 
diff --git a/test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc b/test/qlm-ks/quasilocalmeasures::qlm_multipole_moments..asc
index 9bd2f72..6dfffef 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	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 -30.6534891365239 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
+0	0 0 0 0	0 0 0	0	0 0 0	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 0.0980168525580617 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
 
 # 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	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 -30.6534891365239 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
+1	0 0 0 0	0 0 0	0.05	0 0 0	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 0.0980168525580617 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
 
 # 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	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 -30.6534891365239 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
+2	0 0 0 0	0 0 0	0.1	0 0 0	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 0.0980168525580617 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
 
 # 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	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 -30.6534891365239 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09
+3	0 0 0 0	0 0 0	0.15	0 0 0	0.999937056863574 3.42196700459821e-13 -0.618268870095846 9.08242676526998e-11 0.213698148767801 2.46781997246861e-10 -0.0596994382435028 -5.08166932237222e-09 0.00883482896151883 0 0.800868863706092 3.45380528663131e-11 -0.34103833403306 -1.24848069499675e-10 0.0980168525580617 -5.94103124016061e-11 -0.0523811088164813 1.56087872205077e-09