* fix par file so it runs again

* refresh output files for this test case


git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/AHFinderDirect/trunk@1317 f88db872-0e4f-0410-b76b-b9085cfa78c5

2 files changed, 1180 insertions, 1178 deletions

diff --git a/test/Kerr/BH_diagnostics.ah1.gp b/test/Kerr/BH_diagnostics.ah1.gp
index cf68800..9e2dcf7 100644
--- a/test/Kerr/BH_diagnostics.ah1.gp
+++ b/test/Kerr/BH_diagnostics.ah1.gp
@@ -17,6 +17,8 @@
 # column 15 = xy-plane circumference
 # column 16 = xz-plane circumference
 # column 17 = yz-plane circumference
-# column 18 = area
-# column 19 = m_irreducible
-0	0.000	0.000039	0.000009	0.000000	1.037097639	2.757422636	1.996522276	-1.896292695	1.896685671	-1.896795844	1.896404298	-1.799352120	1.799352120	12.56580486	10.83709599	11.22743101	45.23550768	0.9486473693
+# column 18 = ratio of xz/xy-plane circumferences
+# column 19 = ratio of yz/xy-plane circumferences
+# column 20 = area
+# column 21 = m_irreducible
+0	0.000	0.000906	-0.000005	0.000000	1.035978847	2.755055490	1.995082159	-1.892838056	1.895631841	-1.895291835	1.894823670	-1.798323437	1.798323437	12.55514452	10.82733207	11.22108486	0.8623821133	0.8937439822	45.17169260	0.9479779905
diff --git a/test/Kerr/h.t0.ah1.gp b/test/Kerr/h.t0.ah1.gp
index 668f201..4b96ac1 100644
--- a/test/Kerr/h.t0.ah1.gp
+++ b/test/Kerr/h.t0.ah1.gp
@@ -8,385 +8,385 @@
 # dpy = drho = dmu
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
--45	-45	2.45802500866485	-0.9191414004	-0.7191414004	1.419141400
--40	-45	2.43566695959235	-0.7428565610	-0.7811787716	1.481178772
--35	-45	2.40997261694053	-0.5693352309	-0.8271689786	1.527168979
--30	-45	2.38175005577600	-0.4002169047	-0.8592214167	1.559221417
--25	-45	2.35157194266042	-0.2363844375	-0.8791815224	1.579181522
--20	-45	2.31982370211537	-0.07820113981	-0.8885945755	1.588594576
--15	-45	2.28674430381316	0.07430702566	-0.8887078087	1.588707809
--10	-45	2.25246257541768	0.2213162523	-0.8804940719	1.580494072
--5	-45	2.21702381395304	0.3631081233	-0.8646813103	1.564681310
--2.38542e-15	-45	2.18040236176967	0.5000000000	-0.8417772957	1.541777296
-5	-45	2.14252025567552	0.6322915960	-0.8120998611	1.512099861
-10	-45	2.10326121389974	0.7602239540	-0.7758033791	1.475803379
-15	-45	2.06247131024109	0.8839430342	-0.7328949110	1.432894911
-20	-45	2.01997849442634	1.003466650	-0.6832632523	1.383263252
-25	-45	1.97559557836257	1.118649088	-0.6266972516	1.326697252
-30	-45	1.92913149898291	1.229143170	-0.5629130171	1.262913017
-35	-45	1.88040836227133	1.334360895	-0.4915908495	1.191590850
-40	-45	1.82928924066328	1.433438016	-0.4124281092	1.112428109
-45	-45	1.77570748251403	1.525205193	-0.3252051930	1.025205193
-
--45	-40	2.41005349084014	-0.9656026987	-0.5297866839	1.465602699
--40	-40	2.38611266406312	-0.7902097798	-0.5902097798	1.537612140
--35	-40	2.35869490668264	-0.6149175530	-0.6360708883	1.592267281
--30	-40	2.32859138697883	-0.4418727114	-0.6688831321	1.631371390
--25	-40	2.29638964779444	-0.2724927782	-0.6900659660	1.656616109
--20	-40	2.26251022998113	-0.1076500821	-0.7008809286	1.669504879
--15	-40	2.22723906888713	0.05217135039	-0.7024033859	1.671319273
--10	-40	2.19075758223390	0.2067480535	-0.6955187074	1.663114433
--5	-40	2.15316634416536	0.3560173529	-0.6809307537	1.645729187
--2.38542e-15	-40	2.11449642974200	0.5000000000	-0.6591721058	1.619798240
-5	-40	2.07473278652573	0.6387377800	-0.6306274819	1.585780082
-10	-40	2.03382784264228	0.7722455367	-0.5955540243	1.543981163
-15	-40	1.99170264510774	0.9004695852	-0.5540955177	1.494572839
-20	-40	1.94826991343012	1.023253489	-0.5063124088	1.437627147
-25	-40	1.90344281284406	1.140307636	-0.4522047554	1.373144157
-30	-40	1.85714513121752	1.251181306	-0.3917392627	1.301084188
-35	-40	1.80932873897944	1.355240907	-0.3248851806	1.221410596
-40	-40	1.75999254386144	1.451656486	-0.2516564857	1.134140036
-45	-40	1.70921500652217	1.539408518	-0.1721673037	1.039408518
-
--45	-35	2.36085359453549	-0.9960428792	-0.3475405015	1.496042879
--40	-35	2.33480188746617	-0.8225368075	-0.4036237030	1.576137992
--35	-35	2.30528450150100	-0.6469777337	-0.4469777337	1.638053964
--30	-35	2.27306046279690	-0.4718130337	-0.4786100193	1.683229550
--25	-35	2.23872311569953	-0.2988456812	-0.4995466041	1.713130092
--20	-35	2.20272066950690	-0.1293576113	-0.5107609419	1.729145826
--15	-35	2.16538026651511	0.03576918265	-0.5131326646	1.732532997
--10	-35	2.12693213686967	0.1959441974	-0.5074281779	1.724386146
--5	-35	2.08752878614132	0.3507768026	-0.4942942487	1.705628951
--2.38542e-15	-35	2.04725701152502	0.5000000000	-0.4742583810	1.677014766
-5	-35	2.00616217595926	0.6434068533	-0.4477436693	1.639147834
-10	-35	1.96426174444579	0.7808012399	-0.4150825820	1.592502967
-15	-35	1.92154962347526	0.9119565353	-0.3765289824	1.537442720
-20	-35	1.87801268065857	1.036582596	-0.3322799588	1.474248566
-25	-35	1.83364506947135	1.154301300	-0.2824987739	1.403153666
-30	-35	1.78845689916073	1.264628022	-0.2273370660	1.324374582
-35	-35	1.74249177088700	1.366964256	-0.1669642559	1.238153274
-40	-35	1.69583132947285	1.460595143	-0.1015924870	1.144792712
-45	-35	1.64862504036807	1.544712708	-0.03151571344	1.044712708
-
--45	-30	2.31111875620503	-1.012982377	-0.1735207828	1.512982377
--40	-30	2.28252560860271	-0.8418029550	-0.2232399449	1.599098492
--35	-30	2.25059173505617	-0.6669597055	-0.2622068649	1.666591177
--30	-30	2.21604826035400	-0.4910469103	-0.2910469103	1.716543601
--25	-30	2.17949219463618	-0.3161186588	-0.3104623399	1.750172112
--20	-30	2.14139566573475	-0.1437604522	-0.3211694127	1.768717306
--15	-30	2.10212288383198	0.02482642232	-0.3238567636	1.773371934
--10	-30	2.06194874128997	0.1887410305	-0.3191602506	1.765237335
--5	-30	2.02107329125234	0.3473061786	-0.3076484811	1.745298365
--2.38542e-15	-30	1.97963530922290	0.5000000000	-0.2898176546	1.714414468
-5	-30	1.93773438646455	0.6463974957	-0.2660981221	1.673331032
-10	-30	1.89544359051890	0.7861243866	-0.2368616814	1.622692032
-15	-30	1.85281486044638	0.9188188392	-0.2024291783	1.563053187
-20	-30	1.80989537511167	1.044102654	-0.1630865499	1.494909756
-25	-30	1.76673530348302	1.161560363	-0.1190988218	1.418720776
-30	-30	1.72339809050705	1.270727057	-0.07072705653	1.334938421
-35	-30	1.67997650394719	1.371088637	-0.01824884976	1.244043500
-40	-30	1.63659071992914	1.462084393	0.03802892705	1.146567531
-45	-30	1.59340586277015	1.543128997	0.09774919279	1.043128997
-
--45	-25	2.26127850147026	-1.018545600	-0.008109442540	1.518545600
--40	-25	2.22982321744535	-0.8497715284	-0.05010019916	1.608595068
--35	-25	2.19524349556354	-0.6762494709	-0.08333080730	1.679858337
--30	-25	2.15825176813537	-0.5006147932	-0.1081651050	1.733115661
--25	-25	2.11944980564434	-0.3250628552	-0.1250628552	1.769353003
--20	-25	2.07933157636391	-0.1513824560	-0.1345315057	1.789658589
--15	-25	2.03829450830293	0.01899170243	-0.1370909826	1.795147405
--10	-25	1.99665306569092	0.1849197457	-0.1332493128	1.786908918
--5	-25	1.95464913588617	0.3454975614	-0.1234857800	1.765970954
--2.38542e-15	-25	1.91246581550575	0.5000000000	-0.1082429786	1.733282661
-5	-25	1.87024680716967	0.6478309775	-0.08792742009	1.689715805
-10	-25	1.82810738742681	0.7884830371	-0.06291131921	1.636068604
-15	-25	1.78613953889459	0.9215033379	-0.03353546098	1.573071873
-20	-25	1.74442874604217	1.046469016	-0.0001195790830	1.501411283
-25	-25	1.70305798002915	1.162969171	0.03703082950	1.421741974
-30	-25	1.66211365701543	1.270593838	0.07761558775	1.334707679
-35	-25	1.62170148488142	1.368935732	0.1213267294	1.240968834
-40	-25	1.58194152263485	1.457591441	0.1678436201	1.141213039
-45	-25	1.54298207771949	1.536178712	0.2168219314	1.036178712
-
--45	-20	2.21156666560864	-1.014461123	0.1487812304	1.514461123
--40	-20	2.17703983523943	-0.8479601310	0.1153049931	1.606436329
--35	-20	2.13968404774545	-0.6761118460	0.08865310531	1.679661789
--30	-20	2.10020050670340	-0.5015246375	0.06862390754	1.734691557
--25	-20	2.05919711652481	-0.3264506199	0.05492497183	1.772329074
--20	-20	2.01718719249740	-0.1527931975	0.04720680254	1.793534570
--15	-20	1.97459617933099	0.01786505245	0.04508938722	1.799352120
--10	-20	1.93177098065318	0.1842240981	0.04818240219	1.790854132
--5	-20	1.88898701191051	0.3452239230	0.05610074815	1.769098655
--2.38542e-15	-20	1.84646074282261	0.5000000000	0.06847323209	1.735105535
-5	-20	1.80436682698324	0.6478426358	0.08494524174	1.689849060
-10	-20	1.76284715239756	0.7881628594	0.1051806308	1.634252786
-15	-20	1.72201528052394	0.9204625511	0.1288624204	1.569187603
-20	-20	1.68197257402024	1.044312525	0.1556874748	1.495486372
-25	-20	1.64280989818960	1.159335256	0.1853646439	1.413949020
-30	-20	1.60461516172289	1.265194377	0.2176100341	1.325355539
-35	-20	1.56748131702547	1.361591387	0.2521418984	1.230480021
-40	-20	1.53150393464978	1.448262963	0.2886787696	1.130095793
-45	-20	1.49679264944991	1.524990253	0.3269340575	1.024990253
-
--45	-15	2.16207747876046	-1.002095957	0.2975146014	1.502095957
--40	-15	2.12437786233036	-0.8376357970	0.2728535465	1.594132267
--35	-15	2.08421569988525	-0.6676610268	0.2531698645	1.667592768
--30	-15	2.04228699424448	-0.4947131866	0.2383520035	1.722893778
--25	-15	1.99920515675593	-0.3210376873	0.2282162293	1.760721002
--20	-15	1.95549795494905	-0.1485763405	0.2225282446	1.781948850
--15	-15	1.91161081277974	0.02102142869	0.2210214287	1.787572364
--10	-15	1.86791286475877	0.1863757154	0.2234117124	1.778651704
--5	-15	1.82470155035141	0.3463466089	0.2294098639	1.756266297
--2.38542e-15	-15	1.78221295193650	0.5000000000	0.2387293456	1.721485518
-5	-15	1.74063764520768	0.6465745874	0.2510899269	1.675355201
-10	-15	1.70012803047685	0.7854530569	0.2662211434	1.618884732
-15	-15	1.66080212990335	0.9161352437	0.2838647563	1.553037872
-20	-15	1.62275822264829	1.038217177	0.3037729341	1.478739541
-25	-15	1.58607657855721	1.151373193	0.3257086541	1.396874320
-30	-15	1.55082781993866	1.255343831	0.3494437080	1.308293893
-35	-15	1.51707688847420	1.349927173	0.3747574295	1.213821798
-40	-15	1.48488453071029	1.434972416	0.4014358075	1.114256736
-45	-15	1.45431503421917	1.510380412	0.4292693846	1.010380412
-
--45	-10	2.11281191283886	-0.9825048548	0.4385943951	1.482504855
--40	-10	2.07193739302815	-0.8198299145	0.4226531687	1.572912042
--35	-10	2.02903361986290	-0.6518526257	0.4099392900	1.645016031
--30	-10	1.98479514207977	-0.4810255095	0.4003876584	1.699186026
--25	-10	1.93983677703610	-0.3095385669	0.3938855951	1.736061059
--20	-10	1.89469196001680	-0.1393064055	0.3902852002	1.756479913
--15	-10	1.84981425333335	0.02802947933	0.3894144889	1.761417963
--10	-10	1.80558123350397	0.1910869531	0.3910869531	1.751932947
--5	-10	1.76229763899519	0.3487217576	0.3951098044	1.729118223
--2.38542e-15	-10	1.72020328063102	0.5000000000	0.4012898351	1.694069528
-5	-10	1.67948907268832	0.6441698323	0.4094362833	1.647868724
-10	-10	1.64030272963186	0.7806358998	0.4193641002	1.591565276
-15	-10	1.60275176607917	0.9089338074	0.4308965072	1.526161746
-20	-10	1.56691781405419	1.028708949	0.4438646243	1.452615900
-25	-10	1.53285901203524	1.139697372	0.4581083987	1.371835441
-30	-10	1.50061922615206	1.241711681	0.4734758461	1.284682316
-35	-10	1.47022852591433	1.334627170	0.4898233297	1.191971129
-40	-10	1.44171012486981	1.418373382	0.5070145671	1.094474777
-45	-10	1.41508340433759	1.492927011	0.5249201781	0.9929270107
-
--45	-5	2.06370467764421	-0.9564751713	0.5725749338	1.456475171
--40	-5	2.01974303458781	-0.7953598679	0.5649393953	1.543749776
--35	-5	1.97425185445233	-0.6294874835	0.5588741980	1.613075298
--30	-5	1.92792334401298	-0.4612066211	0.5543437370	1.664858704
--25	-5	1.88136543056234	-0.2926116512	0.5512901668	1.699761171
--20	-5	1.83510425389837	-0.1255322290	0.5496388618	1.718635674
--15	-5	1.78958555498926	0.03846627157	0.5493036359	1.722467324
--10	-5	1.74517817161773	0.1980715957	0.5501913180	1.712321070
--5	-5	1.70217696533546	0.3522057719	0.5522057719	1.689295757
--2.38542e-15	-5	1.66080853052571	0.5000000000	0.5552509990	1.654488653
-5	-5	1.62124873513575	0.6407675055	0.5592324945	1.608979950
-10	-5	1.58362745444874	0.7739789657	0.5640590711	1.553811927
-15	-5	1.54802936704524	0.8992364397	0.5696444568	1.489970677
-20	-5	1.51451259750981	1.016252109	0.5759068660	1.418391012
-25	-5	1.48310784738776	1.124827341	0.5827698665	1.339946557
-30	-5	1.45382971357391	1.224837298	0.5901619176	1.255455027
-35	-5	1.42667465299626	1.316213575	0.5980167580	1.165673790
-40	-5	1.40163355237459	1.398936064	0.6062724951	1.071310283
-45	-5	1.37868843125864	1.473019779	0.6148718000	0.9730197788
-
--45	-2.38542e-15	2.01464299635039	-0.9245677244	0.7000000000	1.424567724
--40	-2.38542e-15	1.96776546579021	-0.7648552602	0.7000000000	1.507395800
--35	-2.38542e-15	1.91992720425627	-0.6012250039	0.7000000000	1.572712294
--30	-2.38542e-15	1.87180774194607	-0.4359038710	0.7000000000	1.621033056
--25	-2.38542e-15	1.82399679719903	-0.2708543559	0.7000000000	1.653102501
--20	-2.38542e-15	1.77699560488819	-0.1077682915	0.7000000000	1.669829657
--15	-2.38542e-15	1.73122230081697	0.05192669724	0.7000000000	1.672232331
--10	-2.38542e-15	1.68701724886693	0.2070525290	0.7000000000	1.661387666
--5	-2.38542e-15	1.64464685998117	0.3566595814	0.7000000000	1.638388482
--2.38542e-15	-2.38542e-15	1.60430847712901	0.5000000000	0.7000000000	1.604308477
-5	-2.38542e-15	1.56614954422107	0.6364989268	0.7000000000	1.560189872
-10	-2.38542e-15	1.53026961978292	0.7657285308	0.7000000000	1.507021386
-15	-2.38542e-15	1.49672526596023	0.8873810041	0.7000000000	1.445725589
-20	-2.38542e-15	1.46554810159676	1.001246972	0.7000000000	1.377164736
-25	-2.38542e-15	1.43674130594205	1.107193113	0.7000000000	1.302129834
-30	-2.38542e-15	1.41029352045362	1.205146760	0.7000000000	1.221350016
-35	-2.38542e-15	1.38617499515742	1.295077314	0.7000000000	1.135488081
-40	-2.38542e-15	1.36435286818112	1.376989119	0.7000000000	1.045154933
-45	-2.38542e-15	1.34478431174161	1.450906106	0.7000000000	0.9509061061
-
--45	5	1.96549258594746	-0.8871612454	0.8213608835	1.387161245
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+5	20	1.37834748356405	0.6129363065	1.169837488	1.290867890
+10	20	1.35023936448607	0.7207161498	1.155597370	1.251743488
+15	20	1.32486273694556	0.8234902573	1.139414740	1.207282076
+20	20	1.30215688093977	0.9213982505	1.121398251	1.157782178
+25	20	1.28210308938246	1.014567005	1.101638425	1.103492503
+30	20	1.26466503527056	1.103082033	1.080191922	1.044568722
+35	20	1.24984386781420	1.186996840	1.057103269	0.9811331672
+40	20	1.23761215320071	1.266293668	1.032389713	0.9132332315
+45	20	1.22799625429389	1.340920880	1.006070170	0.8409208797
+
+-45	25	1.76332498359775	-0.6841484335	1.252177483	1.184148434
+-40	25	1.70737525278719	-0.5335198264	1.274351593	1.231700966
+-35	25	1.65420765685424	-0.3863531016	1.290272479	1.265843415
+-30	25	1.60409975418553	-0.2436972681	1.300660899	1.288121454
+-25	25	1.55715040871022	-0.1061700347	1.306170035	1.299935834
+-20	25	1.51337791553746	0.02591119439	1.307388242	1.302548288
+-15	25	1.47278183404247	0.1524445904	1.304845074	1.297094447
+-10	25	1.43526361014365	0.2735093637	1.298968563	1.284492228
+-5	25	1.40073578243631	0.3892808483	1.290124323	1.265525695
+-2.38542e-15	25	1.36910729183480	0.5000000000	1.278609744	1.240832600
+5	25	1.34026734121890	0.6059395105	1.264649213	1.210894146
+10	25	1.31412194718718	0.7073739722	1.248413356	1.176076238
+15	25	1.29060442032967	0.8045641503	1.230028079	1.136648883
+20	25	1.26965508459545	0.8977388968	1.209571047	1.092778638
+25	25	1.25126146589750	0.9870930913	1.187093091	1.044574505
+30	25	1.23539657284028	1.072758056	1.162598672	0.9920460528
+35	25	1.22208349153561	1.154813493	1.136077205	0.9351705842
+40	25	1.21135724291948	1.233266882	1.107493878	0.8738734405
+45	25	1.20326809771063	1.308046189	1.076798126	0.8080461890
+
+-45	30	1.71152979620710	-0.6204592636	1.346897457	1.120459264
+-40	30	1.65547435996939	-0.4731853083	1.369609161	1.159797087
+-35	30	1.60303117261700	-0.3311915289	1.385352023	1.187064525
+-30	30	1.55425070577034	-0.1950820464	1.395082046	1.203917420
+-25	30	1.50910624772458	-0.06509023980	1.399656110	1.211839930
+-20	30	1.46744029986488	0.05884844352	1.399779669	1.212053940
+-15	30	1.42910411927904	0.1769586962	1.396057271	1.205606559
+-10	30	1.39392014492103	0.2895824764	1.388973482	1.193337076
+-5	30	1.36170094941148	0.3971223248	1.378904570	1.175897208
+-2.38542e-15	30	1.33229775985807	0.5000000000	1.366148880	1.153803705
+5	30	1.30555848792170	0.5986360641	1.350913568	1.127415371
+10	30	1.28136254208187	0.6934265273	1.333339590	1.096976348
+15	30	1.25962766634704	0.7847320627	1.313512329	1.062634525
+20	30	1.24028762960415	0.8728634264	1.291457156	1.024433845
+25	30	1.22333224633265	0.9580811414	1.267164758	0.9823581779
+30	30	1.20876729876254	1.040577170	1.240577170	0.9363071235
+35	30	1.19664205911365	1.120473737	1.211606431	0.8861283311
+40	30	1.18705532203597	1.197821016	1.180142210	0.8316307026
+45	30	1.18010134110995	1.272557675	1.146036381	0.7725576748
+
+-45	35	1.65892815493089	-0.5512416606	1.436087335	1.051241661
+-40	35	1.60352050280485	-0.4083061385	1.457958628	1.082477104
+-35	35	1.55253171594573	-0.2724509959	1.472450996	1.103174350
+-30	35	1.50575806048484	-0.1437643577	1.480754215	1.115032576
+-25	35	1.46295989563148	-0.02202935957	1.483879240	1.119495574
+-20	35	1.42385630077549	0.09317819428	1.482645580	1.117733725
+-15	35	1.38814026065287	0.2023998520	1.477691715	1.110658873
+-10	35	1.35555659666235	0.3062162672	1.469529598	1.099002161
+-5	35	1.32583399031831	0.4052251693	1.458521712	1.083281272
+-2.38542e-15	35	1.29876828260350	0.5000000000	1.444942883	1.063888694
+5	35	1.27417340244149	0.5910819675	1.428966219	1.041071653
+10	35	1.25190462674697	0.6789661548	1.410687895	1.014967500
+15	35	1.23186831488335	0.7640973706	1.390141918	0.9856248051
+20	35	1.21400112072943	0.8468623398	1.367295296	0.9529964464
+25	35	1.19829811705107	0.9275898475	1.342068877	0.9169693870
+30	35	1.18479828519916	1.006542802	1.314332594	0.8773578692
+35	35	1.17356909073213	1.083900866	1.283900866	0.8338968574
+40	35	1.16475908893078	1.159771938	1.250563089	0.7862855778
+45	35	1.15853956865898	1.234151781	1.214058611	0.7341517813
+
+-45	40	1.60550172509844	-0.4763383551	1.519245154	0.9763383551
+-40	40	1.55167049250071	-0.3390133771	1.539013377	0.9998972064
+-35	40	1.50291072939477	-0.2104019889	1.551316237	1.014559184
+-30	40	1.45881732298315	-0.09006497885	1.557578722	1.022022523
+-25	40	1.41891311766675	0.02268547398	1.558905994	1.023604304
+-20	40	1.38278251347186	0.1286213885	1.556178958	1.020354349
+-15	40	1.35000071165520	0.2285567571	1.550041469	1.013039974
+-10	40	1.32022511328479	0.3232763919	1.540987090	1.002249386
+-5	40	1.29313088366504	0.4135280894	1.529348002	0.9883784611
+-2.38542e-15	40	1.26847139607296	0.5000000000	1.515357697	0.9717054642
+5	40	1.24603733472844	0.5833227560	1.499144609	0.9523834585
+10	40	1.22566803439491	0.6640663211	1.480753966	0.9304663440
+15	40	1.20726403323608	0.7427433271	1.460165889	0.9059304298
+20	40	1.19076602566858	0.8198080891	1.437287900	0.8786655034
+25	40	1.17616560695795	0.8956556058	1.411964445	0.8484861849
+30	40	1.16352389656238	0.9706241780	1.383987858	0.8151449875
+35	40	1.15294076716192	1.044976756	1.353077509	0.7783074680
+40	40	1.14458870491900	1.118897659	1.318897659	0.7375735081
+45	40	1.13871560482777	1.192476192	1.281056517	0.6924761918
+
+-45	45	1.55137649327902	-0.3956876360	1.595687636	0.8956876360
+-40	45	1.50009086510972	-0.2654567741	1.612235861	0.9122358605
+-35	45	1.45439118007711	-0.1453317011	1.621629183	0.9216291826
+-30	45	1.41360641731898	-0.03429300456	1.625422630	0.9254226300
+-25	45	1.37709617215299	0.06876837499	1.624779204	0.9247792042
+-20	45	1.34429148471629	0.1649439921	1.620558816	0.9205588160
+-15	45	1.31469567961961	0.2552604752	1.613380341	0.9133803411
+-10	45	1.28789511157497	0.3406564263	1.603682313	0.9036823125
+-5	45	1.26353294421059	0.4219821660	1.591747924	0.8917479237
+-2.38542e-15	45	1.24133590738502	0.5000000000	1.577757038	0.8777570378
+5	45	1.22108130702724	0.5753966244	1.561787360	0.8617873599
+10	45	1.20259913871452	0.6487904122	1.543832359	0.8438323594
+15	45	1.18578342445438	0.7207416334	1.523818991	0.8238189913
+20	45	1.17057777374978	0.7917589825	1.501601216	0.8016012165
+25	45	1.15697205720670	0.8623007241	1.476956410	0.7769564101
+30	45	1.14503192086119	0.9327813865	1.449599350	0.7495993501
+35	45	1.13488357742180	1.003562150	1.419161281	0.7191612807
+40	45	1.12671474922719	1.074932797	1.385178227	0.6851782267
+45	45	1.12082880607116	1.147110813	1.347110813	0.6471108129
 
 
 ### +x patch
@@ -397,205 +397,205 @@
 # dpy = dsigma = dphi
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.77570787338567	1.525205419	-0.3252054187	1.025205419
-45	-40	1.70921527110233	1.539408678	-0.1721674387	1.039408678
-45	-35	1.64862510638810	1.544712750	-0.03151574273	1.044712750
-45	-30	1.59340601697287	1.543129098	0.09774913451	1.043129098
-45	-25	1.54298213272643	1.536178749	0.2168219142	1.036178749
-45	-20	1.49679271031399	1.524990295	0.3269340423	1.024990295
-45	-15	1.45431507672538	1.510380441	0.4292693767	1.010380441
-45	-10	1.41508343778555	1.492927034	0.5249201740	0.9929270342
-45	-5	1.37868844556220	1.473019789	0.6148717991	0.9730197889
-45	-2.38542e-15	1.34478432034284	1.450906112	0.7000000000	0.9509061121
-45	5	1.31307840543762	1.426715007	0.7810770575	0.9267150073
-45	10	1.28333530820284	1.400482818	0.8587794164	0.9004828178
-45	15	1.25537315665692	1.372166221	0.9336962345	0.8721662205
-45	20	1.22906182806130	1.341650575	1.006335757	0.8416505751
-45	25	1.20432819844405	1.308758092	1.077130092	0.8087580922
-45	30	1.18115710971801	1.273248838	1.146435425	0.7732488376
-45	35	1.15959724227426	1.234822016	1.214527915	0.7348220157
-45	40	1.13977353669232	1.193119542	1.281596352	0.6931195418
-45	45	1.12189699734338	1.147727533	1.347727533	0.6477275334
-
-50	-45	1.78955203760964	1.588263105	-0.3882631052	0.9131611702
-50	-40	1.71971045558394	1.608182239	-0.2298753079	0.9298753079
-50	-35	1.65532991185025	1.617451710	-0.08244811126	0.9376533181
-50	-30	1.59612945960769	1.618221063	0.05439476830	0.9382988815
-50	-25	1.54172761813357	1.612202718	0.1813713552	0.9332488904
-50	-20	1.49170670678255	1.600729443	0.2993672467	0.9236216698
-50	-15	1.44564286703534	1.584809808	0.4093260881	0.9102635096
-50	-10	1.40314147842807	1.565195375	0.5121773157	0.8938050463
-50	-5	1.36383956898792	1.542423216	0.6087997860	0.8746969360
-50	-2.38542e-15	1.32742451258885	1.516866172	0.7000000000	0.8532520295
-50	5	1.29362664292457	1.488757385	0.7865050621	0.8296659568
-50	10	1.26222904724852	1.458221650	0.8689603305	0.8040434335
-50	15	1.23306459718477	1.425291162	0.9479310197	0.7764114730
-50	20	1.20601731071765	1.389919417	1.023904179	0.7467310546
-50	25	1.18102847571990	1.351994260	1.097291448	0.7149080691
-50	30	1.15809399509564	1.311340891	1.168427882	0.6807958425
-50	35	1.13726922552916	1.267728193	1.237569068	0.6442004432
-50	40	1.11867827434311	1.220876814	1.304887469	0.6048874689
-50	45	1.10251491870358	1.170461816	1.370461816	0.5625842625
-
-55	-45	1.80152326314736	1.641602366	-0.4416023661	0.7993585824
-55	-40	1.72903879574470	1.667209839	-0.2794053454	0.8172891279
-55	-35	1.66151400366774	1.680613325	-0.1266743498	0.8266743498
-55	-30	1.59889636020539	1.684002645	0.01641575408	0.8290475774
-55	-25	1.54099961585551	1.679213631	0.1501236534	0.8256942733
-55	-20	1.48755699342159	1.667739061	0.2749777405	0.8176596930
-55	-15	1.43826139249914	1.650761074	0.3916544996	0.8057715785
-55	-10	1.39280417803548	1.629200216	0.5008915353	0.7906745033
-55	-5	1.35088339143236	1.603748047	0.6034345585	0.7728527031
-55	-2.38542e-15	1.31223075009719	1.574916502	0.7000000000	0.7526646373
-55	5	1.27660634905478	1.543059508	0.7912558823	0.7303581300
-55	10	1.24381439601070	1.508408437	0.8778096150	0.7060951893
-55	15	1.21370113650250	1.471089143	0.9602025516	0.6799639382
-55	20	1.18615816806869	1.431139601	1.038907099	0.6519909676
-55	25	1.16112942868184	1.388526924	1.114326909	0.6221532504
-55	30	1.13860647409217	1.343152258	1.186794183	0.5903815672
-55	35	1.11863266801445	1.294860971	1.256567643	0.5565676434
-55	40	1.10130988164119	1.243453376	1.323831453	0.5205716580
-55	45	1.08679417192456	1.188687636	1.388687636	0.4822242745
-
-60	-45	1.81166785132047	1.686015009	-0.4860150090	0.6847460847
-60	-40	1.73713359442104	1.717006154	-0.3211894147	0.7026388304
-60	-35	1.66704901744675	1.734470536	-0.1643855748	0.7127218961
-60	-30	1.60155792105453	1.740561431	-0.01623847628	0.7162384763
-60	-25	1.54065448103523	1.737173739	0.1230964112	0.7142825910
-60	-20	1.48422079742949	1.725914039	0.2538037800	0.7077818005
-60	-15	1.43207394854711	1.708111937	0.3762873822	0.6975037518
-60	-10	1.38399979698986	1.684844252	0.4910799905	0.6840701477
-60	-5	1.33976733052131	1.656956426	0.5987794285	0.6679691040
-60	-2.38542e-15	1.29915875256246	1.625104483	0.7000000000	0.6495793763
-60	5	1.26196800206673	1.589772796	0.7953427655	0.6291806170
-60	10	1.22802110808530	1.551310668	0.8853744358	0.6069744971
-60	15	1.19717384585871	1.509947856	0.9706147123	0.5830936663
-60	20	1.16931874497125	1.465816049	1.051528293	0.5576141556
-60	25	1.14439259183591	1.418968191	1.128521905	0.5305665324
-60	30	1.12237090233189	1.369384763	1.201939527	0.5019395267
-60	35	1.10327340462326	1.316987681	1.272060933	0.4716880575
-60	40	1.08716613794344	1.261650045	1.339100272	0.4397388584
-60	45	1.07415596798063	1.203200147	1.403200147	0.4059927944
-
-65	-45	1.82006441974560	1.722251401	-0.5222514009	0.5699451884
-65	-40	1.74396787330987	1.758098892	-0.3556703166	0.5866611482
-65	-35	1.67184290478995	1.779338373	-0.1958023728	0.5965652808
-65	-30	1.60399396654175	1.788036504	-0.04364822254	0.6006212860
-65	-25	1.54056957154380	1.786093867	0.1002845805	0.5997154195
-65	-20	1.48159117207655	1.775189776	0.2358688785	0.5946307581
-65	-15	1.42699729971610	1.756771526	0.3632490845	0.5860421872
-65	-10	1.37666874255617	1.732052626	0.4827558804	0.5745155748
-65	-5	1.33044851161558	1.702023107	0.5948366048	0.5605125801
-65	-2.38542e-15	1.28817168754424	1.667480031	0.7000000000	0.5444048794
-65	5	1.24966713192704	1.629039385	0.7987781468	0.5264797114
-65	10	1.21478137406947	1.587171181	0.8916976118	0.5069562472
-65	15	1.18337730728021	1.542212837	0.9792600881	0.4859918275
-65	20	1.15534361446170	1.494391970	1.061929078	0.4636925910
-65	25	1.13060266857406	1.443846474	1.140122839	0.4401228391
-65	30	1.10910602850329	1.390632435	1.214206876	0.4153087250
-65	35	1.09084217068404	1.334741257	1.284492121	0.3892462408
-65	40	1.07583457207441	1.276107349	1.351231391	0.3619048006
-65	45	1.06413824339350	1.214614518	1.414614518	0.3332302226
-
-70	-45	1.82679242942554	1.750971158	-0.5509711584	0.4553162656
-70	-40	1.74953369794132	1.790979818	-0.3832606893	0.4698782269
-70	-35	1.67582925619446	1.815533650	-0.2211465787	0.4788150909
-70	-30	1.60610678466073	1.826587566	-0.06590568862	0.4828383874
-70	-25	1.54063980760611	1.826012309	0.08167030550	0.4826290108
-70	-20	1.47957188641842	1.815526559	0.2211874901	0.4788125099
-70	-15	1.42295245280463	1.796666397	0.3525592861	0.4719479722
-70	-10	1.37075113753989	1.770758989	0.4759309043	0.4625184469
-70	-5	1.32288196442087	1.738922602	0.5916083173	0.4509309497
-70	-2.38542e-15	1.27923108542292	1.702084011	0.7000000000	0.4375227992
-70	5	1.23966069244394	1.660983135	0.8015728629	0.4225633037
-70	10	1.20403524257108	1.616204514	0.8968169718	0.4062652185
-70	15	1.17222146271809	1.568187610	0.9862200076	0.3887884948
-70	20	1.14410069513372	1.517250236	1.070248807	0.3702488067
-70	25	1.11957692940183	1.463607965	1.149337773	0.3507246166
-70	30	1.09857468262699	1.407383948	1.223878367	0.3302607480
-70	35	1.08104883460929	1.348628292	1.294215927	0.3088754383
-70	40	1.06698128978457	1.287324824	1.360643970	0.2865628008
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+80	-10	1.36182267599434	1.821359554	0.4670086594	0.2329913406
+80	-5	1.31168587227838	1.786990288	0.5874029398	0.2269311116
+80	-2.38542e-15	1.26619223656003	1.746955931	0.7000000000	0.2198719745
+80	5	1.22518717262240	1.702120130	0.8051718836	0.2119662130
+80	10	1.18864014160282	1.653322701	0.9033619097	0.2033619097
+80	15	1.15635620255058	1.601097898	0.9950382926	0.1941532679
+80	20	1.12823816131961	1.545936601	1.080689790	0.1844268428
+80	25	1.10411876526920	1.488133443	1.160774192	0.1742345865
+80	30	1.08388011843345	1.427911356	1.235729871	0.1636158077
+80	35	1.06742098160732	1.365399474	1.305959235	0.1525932763
+80	40	1.05465499106332	1.300641729	1.371818179	0.1411747386
+80	45	1.04552936258357	1.233620606	1.433620606	0.1293571064
+
+85	-45	1.83681474329643	1.796345886	-0.5963458855	0.1134155690
+85	-40	1.75779154803572	1.843532451	-0.4273575838	0.1175438585
+85	-35	1.68156642161425	1.873934765	-0.2620394792	0.1202037163
+85	-30	1.60878867538714	1.889269878	-0.1020953382	0.1215453649
+85	-25	1.53991239790377	1.891267884	0.05124113128	0.1217201678
+85	-20	1.47529557466085	1.881662976	0.1971158029	0.1208798472
+85	-15	1.41526937076325	1.862189832	0.3350023347	0.1191761678
+85	-10	1.35988434589675	1.834281311	0.4647302050	0.1167344887
+85	-5	1.30919032546615	1.799283040	0.5863274633	0.1136725367
+85	-2.38542e-15	1.26323895699882	1.758431951	0.7000000000	0.1100985296
+85	5	1.22188677785780	1.712640161	0.8060922670	0.1060922670
+85	10	1.18511135014193	1.662798830	0.9050328068	0.1017317156
+85	15	1.15271597441940	1.609483475	0.9972852010	0.09706722640
+85	20	1.12460361672643	1.553228388	1.083343783	0.09214554406
+85	25	1.10059229057486	1.494354425	1.163675083	0.08699473971
+85	30	1.08055466587902	1.433113262	1.238733193	0.08163683223
+85	35	1.06437243900169	1.369652413	1.308937175	0.07608472736
+85	40	1.05193895406120	1.304028283	1.374659836	0.07034335995
+85	45	1.04318414206499	1.236235091	1.436235091	0.06441222419
+
+90	-45	1.83750454166388	1.799311922	-0.5993119219	0.000000000
+90	-40	1.75836738389463	1.846987563	-0.4302567676	0.000000000
+90	-35	1.68198277962408	1.877799632	-0.2647456887	0.000000000
+90	-30	1.60900817907905	1.893441958	-0.1045040895	0.000000000
+90	-25	1.53990935658518	1.895631841	0.04920618448	0.000000000
+90	-20	1.47506102108816	1.886103957	0.1954994182	0.000000000
+90	-15	1.41480735995727	1.866598968	0.3338209101	0.000000000
+90	-10	1.35921036165850	1.838560902	0.4639755976	0.000000000
+90	-5	1.30833156208278	1.803352965	0.5859713909	0.000000000
+90	-2.38542e-15	1.26222969241045	1.762229692	0.7000000000	0.000000000
+90	5	1.22076431897693	1.716118942	0.8063966209	0.000000000
+90	10	1.18391539480491	1.665929060	0.9055847508	0.000000000
+90	15	1.15148593407204	1.612250002	0.9980264899	0.000000000
+90	20	1.12337906356834	1.555631016	1.084218268	0.000000000
+90	25	1.09940731771966	1.496401413	1.164629610	0.000000000
+90	30	1.07944001377851	1.434822474	1.239720007	0.000000000
+90	35	1.06335305270260	1.371047827	1.309914255	0.000000000
+90	40	1.05103286901416	1.305137889	1.375590906	0.000000000
+90	45	1.04240346086075	1.237090556	1.437090556	0.000000000
 
 
 ### +y patch
@@ -606,205 +606,205 @@
 # dpy = drho = dmu
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
-45	45	1.12189704035984	1.147727558	1.347727558	0.6477275583
-40	45	1.12778994903256	1.075481443	1.385832078	0.6858320776
-35	45	1.13596550372715	1.004042214	1.419846884	0.7198468837
-30	45	1.14613281765505	0.9331974864	1.450320056	0.7503200562
-25	45	1.15809056542122	0.8626509800	1.477707536	0.7777075364
-20	45	1.17171286536528	0.7920418968	1.502378517	0.8023785171
-15	45	1.18694050308718	0.7209570315	1.524622868	0.8246228678
-10	45	1.20377686846864	0.6489361256	1.544658742	0.8446587416
-5	45	1.22227985008816	0.5754706293	1.562633241	0.8626332407
-3.88578e-16	45	1.24255997489382	0.5000000000	1.578622584	0.8786225843
--5	45	1.26478383188139	0.4219049289	1.592630747	0.8926307471
--10	45	1.28917291774082	0.3404983310	1.604578916	0.9045789157
--15	45	1.31600869134937	0.2550160492	1.614292552	0.9142925515
--20	45	1.34564056942978	0.1646077414	1.621482657	0.9214826572
--25	45	1.37848616835163	0.06833310378	1.625712646	0.9257126463
--30	45	1.41504159410597	-0.03483545040	1.626362174	0.9263621738
--35	45	1.45587650382691	-0.1459907579	1.622570413	0.9225704133
--40	45	1.50163075565711	-0.2662425396	1.613172299	0.9131722994
--45	45	1.55298541977363	-0.3966165502	1.596616550	0.8966165502
-
-45	50	1.10251499119146	1.170461860	1.370461860	0.5625842995
-40	50	1.10627364026250	1.098180082	1.412883262	0.5981800823
-35	50	1.11270501236451	1.025957955	1.451145805	0.6302861680
-30	50	1.12153860959122	0.9536418957	1.485730812	0.6593064344
-25	50	1.13257859238777	0.8809931752	1.517042501	0.6855800611
-20	50	1.14569710124861	0.8077037745	1.545409172	0.7093825247
-15	50	1.16082841845888	0.7334065662	1.571085164	0.7309272396
-10	50	1.17796797493057	0.6576812535	1.594254826	0.7503688948
-5	50	1.19716641101833	0.5800547479	1.615029956	0.7678012982
-3.88578e-16	50	1.21852768517874	0.5000000000	1.633446362	0.7832544981
--5	50	1.24221276714071	0.4169329936	1.649460228	0.7966917268
--10	50	1.26843623036931	0.3302087841	1.662933836	0.8079974265
--15	50	1.29747019526929	0.2391190135	1.673621096	0.8169651028
--20	50	1.32964775136880	0.1428919726	1.681146242	0.8232794495
--25	50	1.36535813669964	0.04070107341	1.684969727	0.8264877344
--30	50	1.40505188577792	-0.06831784090	1.684355375	0.8259722323
--35	50	1.44922364791060	-0.1850249597	1.678317031	0.8209054597
--40	50	1.49840308878760	-0.3102108288	1.665571666	0.8102108288
--45	50	1.55311024112640	-0.4444780248	1.644478025	0.7925111623
-
-45	55	1.08679421178996	1.188687662	1.388687662	0.4822242922
-40	55	1.08856948351787	1.116614719	1.434852806	0.5145494746
-35	55	1.09331599610275	1.043971515	1.476871835	0.5439715153
-30	55	1.10080027967194	0.9706307099	1.515156301	0.5707785869
-25	55	1.11084955352846	0.8963854940	1.550051435	0.5952124228
-20	55	1.12334985308744	0.8209616135	1.581834786	0.6174673643
-15	55	1.13824259558121	0.7440251713	1.610714338	0.6376890444
-10	55	1.15552544339893	0.6651882587	1.636829169	0.6559748459
-5	55	1.17524924086622	0.5840105538	1.660245024	0.6723708044
-3.88578e-16	55	1.19751476481609	0.5000000000	1.680946668	0.6868662513
--5	55	1.22247742167007	0.4126134256	1.698833116	0.6993904772
--10	55	1.25034177766470	0.3212572624	1.713700438	0.7098006881
--15	55	1.28136404485216	0.2252913555	1.725226619	0.7178714067
--20	55	1.31585097275876	0.1240372933	1.732949047	0.7232787094
--25	55	1.35415179029865	0.01679673930	1.736232737	0.7255779735
--30	55	1.39665676406633	-0.09711972873	1.734241708	0.7241838405
--35	55	1.44377401814363	-0.2183393851	1.725894961	0.7183393851
--40	55	1.49591241360455	-0.3473520766	1.709834881	0.7070939963
--45	55	1.55343760880816	-0.4843936440	1.684393644	0.6892798501
-
-45	60	1.07415598940883	1.203200161	1.403200161	0.4059928025
-40	60	1.07416030157968	1.131454675	1.452538378	0.4344782350
-35	60	1.07735538961319	1.058622121	1.497795068	0.4606071975
-30	60	1.08355375444745	0.9845799704	1.539317129	0.4845799704
-25	60	1.09261635275691	0.9091341068	1.577390924	0.5065618859
-20	60	1.10445374623290	0.8320281508	1.612239847	0.5266819212
-15	60	1.11902429658961	0.7529494268	1.644020113	0.5450302661
-10	60	1.13633657530299	0.6715343085	1.672819405	0.5616575454
-5	60	1.15644719809021	0.5873705782	1.698650278	0.5765710069
-3.88578e-16	60	1.17945739319345	0.5000000000	1.721440065	0.5897286966
--5	60	1.20551798869977	0.4089220815	1.741025372	0.6010362788
--10	60	1.23482168270704	0.3135989917	1.757132650	0.6103358199
--15	60	1.26760465101344	0.2134647828	1.769363989	0.6173975868
--20	60	1.30414059909392	0.1079406738	1.777174146	0.6219067830
--25	60	1.34473142098421	-0.003539497167	1.779843936	0.6234481874
--30	60	1.38969865432419	-0.1214921319	1.776455949	0.6214921319
--35	60	1.43936048812139	-0.2463262507	1.765864347	0.6153770678
--40	60	1.49400602538644	-0.3782647135	1.746675128	0.6042981667
--45	60	1.55386091687456	-0.5172407530	1.717240753	0.5873042226
-
-45	65	1.06413825970768	1.214614529	1.414614529	0.3332302277
-40	65	1.06262136171701	1.143233082	1.466575336	0.3574599497
-35	65	1.06445040741580	1.070350957	1.514545582	0.3798288430
-30	65	1.06948532533608	0.9958378135	1.558816285	0.4004726108
-25	65	1.07762536277578	0.9194997477	1.599620112	0.4194997477
-20	65	1.08881141490431	0.8410868481	1.637128413	0.4369901558
-15	65	1.10302568070244	0.7602982556	1.671446315	0.4529928561
-10	65	1.12029286512495	0.6767869275	1.702608488	0.4675240161
-5	65	1.14067988681079	0.5901634063	1.730572450	0.4805638255
-3.88578e-16	65	1.16429142105051	0.5000000000	1.755206381	0.4920508165
--5	65	1.19127489599409	0.4058373838	1.776283629	0.5018792984
--10	65	1.22181041817358	0.3071931755	1.793461839	0.5098896292
--15	65	1.25611179412328	0.2035756152	1.806270865	0.5158625762
--20	65	1.29441632517654	0.09450426541	1.814090374	0.5195088735
--25	65	1.33697574848168	-0.02046008612	1.816130257	0.5204600861
--30	65	1.38404090259300	-0.1416729605	1.811410169	0.5182590734
--35	65	1.43584333879378	-0.2693497195	1.798745268	0.5123533330
--40	65	1.49256251268672	-0.4034879394	1.776734998	0.5020897752
--45	65	1.55430237701992	-0.5437807790	1.743780779	0.4867229707
-
-45	70	1.05637922185796	1.223399067	1.423399067	0.2632957279
-40	70	1.05360936089976	1.152364458	1.477457686	0.2829714563
-35	70	1.05429181870866	1.079508502	1.527623912	0.3012304691
-30	70	1.05832991308280	1.004686805	1.574143187	0.3181621007
-25	70	1.06565969156512	0.9276983032	1.617201971	0.3338342163
-20	70	1.07625397418914	0.8482925510	1.656925919	0.3482925510
-15	70	1.09012039056842	0.7661734803	1.693372952	0.3615581862
-10	70	1.10730247757154	0.6810046025	1.726528112	0.3736256773
-5	70	1.12787993705926	0.5924139927	1.756296770	0.3844605829
-3.88578e-16	70	1.15196291520745	0.5000000000	1.782491051	0.3939945214
--5	70	1.17969675135268	0.4033403438	1.804824926	0.4021233872
--10	70	1.21124955548794	0.3020037444	1.822892565	0.4086994698
--15	70	1.24681262551251	0.1955671514	1.836158859	0.4135280059
--20	70	1.28658727769071	0.08364031562	1.843938831	0.4163596844
--25	70	1.33077693291520	-0.03410205962	1.845385563	0.4168862517
--30	70	1.37956644836659	-0.1578751804	1.839473237	0.4147343412
--35	70	1.43310917442797	-0.2877315712	1.824997273	0.4094655211
--40	70	1.49149040266507	-0.4234877406	1.800569833	0.4005746598
--45	70	1.55471282177164	-0.5646534704	1.764653470	0.3875021730
-
-45	75	1.05060556978480	1.229904638	1.429904638	0.1955773582
-40	75	1.04685899460524	1.159165250	1.485562555	0.2104908523
-35	75	1.04663446410840	1.086366504	1.537418154	0.2243855180
-30	75	1.04987145234456	1.011348787	1.585682080	0.2373177981
-25	75	1.05653824088227	0.9339012987	1.630504338	0.2493278859
-20	75	1.06663656017048	0.8537693482	1.671973296	0.2604394597
-15	75	1.08019783318611	0.7706574013	1.710107173	0.2706574013
-10	75	1.09728395997450	0.6842349841	1.744848516	0.2799663161
-5	75	1.11798759103836	0.5941428392	1.776057576	0.2883287585
-3.88578e-16	75	1.14242504359649	0.5000000000	1.803497854	0.2956813589
--5	75	1.17074039058867	0.4014149842	1.826831887	0.3019336941
--10	75	1.20309064680994	0.2979999760	1.845599063	0.3069623439
--15	75	1.23964730694577	0.1893904910	1.859210469	0.3106095090
--20	75	1.28057974536437	0.07527251672	1.866929170	0.3126777287
--25	75	1.32604887103124	-0.04458447882	1.867865184	0.3129285328
--30	75	1.37618319940365	-0.1702816888	1.860961940	0.3110788144
--35	75	1.43107073602577	-0.3017430850	1.845007789	0.3068039123
--40	75	1.49072128484750	-0.4386475868	1.818636634	0.2997377826
--45	75	1.55505822248501	-0.5803713983	1.780371398	0.2894846437
-
-45	80	1.04661730445839	1.234383986	1.434383986	0.1294917110
-40	80	1.04217356131070	1.163867473	1.491166447	0.1395039908
-35	80	1.04129450753292	1.091127619	1.544217731	0.1488583635
-30	80	1.04394664284677	1.015991936	1.593724249	0.1575876984
-25	80	1.05012304416405	0.9382405336	1.639809857	0.1657138346
-20	80	1.05984822908861	0.8576136787	1.682535507	0.1732475194
-15	80	1.07317284541067	0.7738144901	1.721889589	0.1801867058
-10	80	1.09017401215185	0.6865155494	1.757782244	0.1865155494
-5	80	1.11095541640837	0.5953660603	1.790039057	0.1922032957
-3.88578e-16	80	1.13563908959265	0.5000000000	1.818386180	0.1972016584
--5	80	1.16436800726034	0.4000489237	1.842446029	0.2014440590
--10	80	1.19729096359056	0.2951580396	1.861716486	0.2048419604
--15	80	1.23456374902013	0.1850074572	1.875568174	0.2072843867
--20	80	1.27633067842219	0.06934087676	1.883226217	0.2086347063
--25	80	1.32271954540066	-0.05200133223	1.883770677	0.2087307093
--30	80	1.37381595318537	-0.1790365750	1.876125848	0.2073827197
--35	80	1.42965888589828	-0.3115963804	1.859079753	0.2043770332
--40	80	1.49020334065519	-0.4492636960	1.831288420	0.1994766714
--45	80	1.55531664787527	-0.5913250096	1.791325010	0.1924300439
-
-45	85	1.04427654482726	1.237006063	1.437006063	0.06447967545
-40	85	1.03941501154958	1.166627620	1.494455861	0.06950588151
-35	85	1.03814102478819	1.093929944	1.548219866	0.07420962244
-30	85	1.04043768166003	1.018732029	1.598470230	0.07860595965
-25	85	1.04631359141081	0.9408076867	1.645315135	0.08270435776
-20	85	1.05580777707344	0.8598933362	1.688798815	0.08650868679
-15	85	1.06898331776101	0.7756905670	1.728891203	0.09001631627
-10	85	1.08592732033132	0.6878732547	1.765482174	0.09321761137
-5	85	1.10675082734324	0.5960954046	1.798375501	0.09609540459
-3.88578e-16	85	1.13157982148818	0.5000000000	1.827273819	0.09862367982
--5	85	1.16055646463855	0.3992328352	1.851773964	0.1007671648
--10	85	1.19382441365762	0.2934597704	1.871347849	0.1024796579
--15	85	1.23152951205785	0.1823888046	1.885341118	0.1037039103
--20	85	1.27380014897051	0.06579957524	1.892955863	0.1043701141
--25	85	1.32074312709075	-0.05642374083	1.893254563	0.1043962470
--30	85	1.37241723493444	-0.1842473987	1.885151260	0.1036872998
--35	85	1.42883110425582	-0.3174473002	1.867435732	0.1021373920
--40	85	1.48990649324508	-0.4555498126	1.838779922	0.09963033343
--45	85	1.55547718306063	-0.5977897764	1.797789776	0.09604416037
-
-45	90	1.04350448252674	1.237869096	1.437869096	0.000000000
-40	90	1.03850370973956	1.167537317	1.495539996	0.000000000
-35	90	1.03709763940844	1.094854768	1.549540651	0.000000000
-30	90	1.03927496120620	1.019637481	1.600038518	0.000000000
-25	90	1.04504956843023	0.9416570320	1.647136562	0.000000000
-20	90	1.05446545608188	0.8606484264	1.690873408	0.000000000
-15	90	1.06758999847275	0.7763126240	1.731212751	0.000000000
-10	90	1.08451378056478	0.6883238416	1.768037579	0.000000000
-5	90	1.10535043404507	0.5963376381	1.801144242	0.000000000
-3.88578e-16	90	1.13022731899975	0.5000000000	1.830227319	0.000000000
--5	90	1.15928635970496	0.3989615363	1.854874925	0.000000000
--10	90	1.19266946399107	0.2928951210	1.874550135	0.000000000
--15	90	1.23051905142332	0.1815182341	1.888590132	0.000000000
--20	90	1.27295805125128	0.06462270486	1.896189287	0.000000000
--25	90	1.32008608448544	-0.05789248637	1.896404298	0.000000000
--30	90	1.37195282729151	-0.1859764136	1.888146001	0.000000000
--35	90	1.42855664647424	-0.3193864304	1.870205097	0.000000000
--40	90	1.48980818131716	-0.4576302398	1.841259279	0.000000000
--45	90	1.55553009337401	-0.5999258774	1.799925877	0.000000000
+45	45	1.12082887904494	1.147110855	1.347110855	0.6471108550
+40	45	1.12671434223806	1.074932590	1.385177979	0.6851779792
+35	45	1.13488372292150	1.003562215	1.419161373	0.7191613729
+30	45	1.14503187488601	0.9327813692	1.449599320	0.7495993200
+25	45	1.15697199305258	0.8623007040	1.476956367	0.7769563670
+20	45	1.17057782557379	0.7917589955	1.501601252	0.8016012520
+15	45	1.18578339392993	0.7207416278	1.523818970	0.8238189701
+10	45	1.20259915863376	0.6487904146	1.543832373	0.8438323734
+5	45	1.22108131888526	0.5753966251	1.561787368	0.8617873683
+0	45	1.24133590643579	0.5000000000	1.577757037	0.8777570372
+-5	45	1.26353294365139	0.4219821660	1.591747923	0.8917479233
+-10	45	1.28789514523088	0.3406564221	1.603682336	0.9036823361
+-15	45	1.31469574374878	0.2552604633	1.613380386	0.9133803857
+-20	45	1.34429147945204	0.1649439934	1.620558812	0.9205588124
+-25	45	1.37709642702116	0.06876829518	1.624779375	0.9247793753
+-30	45	1.41360628120240	-0.03429295312	1.625422541	0.9254225409
+-35	45	1.45439146300061	-0.1453318266	1.621629362	0.9216293618
+-40	45	1.50009229237143	-0.2654575024	1.612236728	0.9122367285
+-45	45	1.55137461473619	-0.3956865514	1.595686551	0.8956865514
+
+45	50	1.10144770045430	1.169812819	1.369812819	0.5620396892
+40	50	1.10519079344638	1.097594569	1.412185475	0.5975945695
+35	50	1.11161589188172	1.025443145	1.450410580	0.6296692412
+30	50	1.12043454217040	0.9531953206	1.484957321	0.6586573986
+25	50	1.13145807180066	0.8806162383	1.516234157	0.6849017801
+20	50	1.14456401181430	0.8073994568	1.544573066	0.7086809485
+15	50	1.15967328320069	0.7331743043	1.570218351	0.7301998971
+10	50	1.17678914139337	0.6575234564	1.593359914	0.7496179745
+5	50	1.19595994506858	0.5799740713	1.614107818	0.7670275326
+0	50	1.21728475795379	0.5000000000	1.632494225	0.7824555599
+-5	50	1.24093210008475	0.4170186321	1.648481376	0.7958703724
+-10	50	1.26712005417736	0.3303849657	1.661934660	0.8071590186
+-15	50	1.29611295200231	0.2393919130	1.672602622	0.8161105010
+-20	50	1.32825190409607	0.1432668600	1.680116247	0.8224151812
+-25	50	1.36391398094010	0.04118687942	1.683927912	0.8256135483
+-30	50	1.40356223588594	-0.06771530471	1.683311752	0.8250965284
+-35	50	1.44767181275298	-0.1842914319	1.677269444	0.8200264304
+-40	50	1.49680417246580	-0.3093462689	1.664541324	0.8093462689
+-45	50	1.55144709484329	-0.4434666316	1.643466632	0.7916625026
+
+45	55	1.08572717859288	1.188011496	1.388011496	0.4817508361
+40	55	1.08748901535292	1.116002693	1.434123423	0.5140387544
+35	55	1.09222658395695	1.043429486	1.476097737	0.5434294861
+30	55	1.09969581245749	0.9701585115	1.514338429	0.5702059070
+25	55	1.10972384111686	0.8959838050	1.549190010	0.5946092466
+20	55	1.12221026176830	0.8206360114	1.580940201	0.6168409696
+15	55	1.13707915403500	0.7437757438	1.609783462	0.6370372379
+10	55	1.15433083540421	0.6650174834	1.635860654	0.6552966844
+5	55	1.17402153100523	0.5839227932	1.659241916	0.6716684204
+0	55	1.19624616249981	0.5000000000	1.679907489	0.6861386109
+-5	55	1.22116851247515	0.4127069906	1.697763663	0.6986416383
+-10	55	1.24899506799240	0.3214497815	1.712608608	0.7090361808
+-15	55	1.27997356992537	0.2255894562	1.724114092	0.7170924070
+-20	55	1.31442028760020	0.1244460662	1.731825953	0.7224923103
+-25	55	1.35266526635981	0.01732717704	1.735095209	0.7247814682
+-30	55	1.39512461482490	-0.09646468121	1.733107133	0.7233894022
+-35	55	1.44217422728473	-0.2175434207	1.724758206	0.7175434207
+-40	55	1.49425639789519	-0.3464140348	1.708716967	0.7063112241
+-45	55	1.55172629755541	-0.4833092078	1.683309208	0.6885205197
+
+45	60	1.07308207651630	1.202497120	1.402497120	0.4055869015
+40	60	1.07307383068494	1.130815984	1.451777215	0.4340387773
+35	60	1.07626160839544	1.058054982	1.496985110	0.4601395677
+30	60	1.08245174400790	0.9840871364	1.538463516	0.4840871364
+25	60	1.09149545748488	0.9087143836	1.576490824	0.5060422132
+20	60	1.10331419277424	0.8316855708	1.611298616	0.5261385013
+15	60	1.11785212990083	0.7526844648	1.643031261	0.5444593524
+10	60	1.13512518036942	0.6713514438	1.671782328	0.5610587888
+5	60	1.15519787393681	0.5872761907	1.697571424	0.5759481302
+0	60	1.17816353223981	0.5000000000	1.720319549	0.5890817661
+-5	60	1.20418249074384	0.4090229795	1.739872103	0.6003704383
+-10	60	1.23344864178482	0.3138062574	1.755957187	0.6096571664
+-15	60	1.26618626632429	0.2137854010	1.768167425	0.6167067505
+-20	60	1.30267935583591	0.1083799624	1.775967210	0.6212099585
+-25	60	1.34320767394196	-0.002968924629	1.778620340	0.6227417435
+-30	60	1.38812520836646	-0.1207884654	1.775237163	0.6207884654
+-35	60	1.43771740735734	-0.2454742929	1.764647626	0.6146745932
+-40	60	1.49228402007545	-0.3772524174	1.745468720	0.6036016469
+-45	60	1.55209580674721	-0.5160852172	1.716085217	0.5866370737
+
+45	65	1.06306543510174	1.213894082	1.413894082	0.3328942773
+40	65	1.06153432305027	1.142575068	1.465791146	0.3570942759
+35	65	1.06335161289583	1.069762204	1.513704756	0.3794367591
+30	65	1.06837741457693	0.9953241608	1.557926613	0.4000577496
+25	65	1.07649733560857	0.9190606274	1.598678416	0.4190606274
+20	65	1.08765821788875	0.8407255915	1.636135869	0.4365273247
+15	65	1.10183821910047	0.7600180316	1.670400505	0.4525051870
+10	65	1.11906710690820	0.6765934977	1.701511493	0.4670124790
+5	65	1.13942156780658	0.5900639443	1.729435594	0.4800337008
+0	65	1.16299426407845	0.5000000000	1.754030758	0.4915026143
+-5	65	1.18994022774493	0.4059428807	1.775077793	0.5013170081
+-10	65	1.22043477420814	0.3074102579	1.792230703	0.5093155413
+-15	65	1.25468236848377	0.2039129392	1.805011954	0.5152755367
+-20	65	1.29293518927523	0.09496825391	1.812815577	0.5189144255
+-25	65	1.33542830574929	-0.01985769510	1.814838425	0.5198576951
+-30	65	1.38243515245593	-0.1409284981	1.810120723	0.5176577945
+-35	65	1.43417069059418	-0.2684534856	1.797465314	0.5117564804
+-40	65	1.49079595243713	-0.4024185933	1.775460601	0.5014955141
+-45	65	1.55249314133183	-0.5425657995	1.742565800	0.4861564164
+
+45	70	1.05529933062537	1.222659567	1.422659567	0.2630265719
+40	70	1.05252023773828	1.151690104	1.476654023	0.2826789468
+35	70	1.05319531282649	1.078905790	1.526763150	0.3009171773
+30	70	1.05722952993342	1.004162064	1.573234310	0.3178312963
+25	70	1.06453267881218	0.9272459811	1.616231963	0.3334811623
+20	70	1.07509324947164	0.8479169224	1.655893888	0.3479169224
+15	70	1.08892150443929	0.7658807497	1.692280466	0.3611605538
+10	70	1.10606403241904	0.6808021608	1.725380007	0.3732078015
+5	70	1.12661100357037	0.5923100213	1.755108372	0.3840280414
+0	70	1.15065454007795	0.5000000000	1.781261580	0.3935470307
+-5	70	1.17834358047839	0.4034512172	1.803557637	0.4016621317
+-10	70	1.20983940002650	0.3022342547	1.821585276	0.4082236556
+-15	70	1.24533585447415	0.1959277329	1.834813150	0.4130382081
+-20	70	1.28505122250343	0.08413740700	1.842573084	0.4158625930
+-25	70	1.32917302631522	-0.03345833805	1.844005098	0.4163838034
+-30	70	1.37789603902938	-0.1570786106	1.838093538	0.4142321717
+-35	70	1.43137888829840	-0.2867804915	1.823638991	0.4089711467
+-40	70	1.48967364479779	-0.4223628566	1.799229248	0.4000867269
+-45	70	1.55284876287854	-0.5633769795	1.763376980	0.3870375683
+
+45	75	1.04951523724492	1.229147133	1.429147133	0.1953743854
+40	75	1.04575980162491	1.158473133	1.484737721	0.2102698387
+35	75	1.04552952516452	1.085747473	1.536534086	0.2241486327
+30	75	1.04876499407526	1.010809877	1.584748661	0.2370676891
+25	75	1.05540204723767	0.9334346843	1.629503680	0.2490597605
+20	75	1.06546442711392	0.8533805890	1.670905189	0.2601532612
+15	75	1.07899073269691	0.7703549468	1.708978398	0.2703549468
+10	75	1.09604344252041	0.6840267001	1.743667279	0.2796498045
+5	75	1.11672416322602	0.5940364492	1.774841533	0.2880029207
+0	75	1.14112150803243	0.5000000000	1.802238736	0.2953439791
+-5	75	1.16937718295896	0.4015297764	1.825519806	0.3015821231
+-10	75	1.20165657759925	0.2982407576	1.844233524	0.3065964486
+-15	75	1.23813757811456	0.1897687729	1.857798702	0.3102312271
+-20	75	1.27900419294088	0.07579507724	1.865493447	0.3122930278
+-25	75	1.32440471462140	-0.04390925328	1.866417158	0.3125405355
+-30	75	1.37446744233641	-0.1694460148	1.859514511	0.3106909767
+-35	75	1.42930469128099	-0.3007536761	1.843594766	0.3064252941
+-40	75	1.48887841122607	-0.4374872030	1.817253742	0.2993672380
+-45	75	1.55315391135754	-0.5790483846	1.779048385	0.2891301432
+
+45	80	1.04552936356617	1.233620607	1.433620607	0.1293571066
+40	80	1.04107708046016	1.163169012	1.490334053	0.1393572173
+35	80	1.04018990157491	1.090500550	1.543322184	0.1487004545
+30	80	1.04283759151705	1.015443764	1.592774788	0.1574202829
+25	80	1.04897786075214	0.9377626222	1.638784973	0.1655331198
+20	80	1.05866226992299	0.8572135127	1.681436060	0.1730536572
+15	80	1.07195165722227	0.7735029103	1.720726757	0.1799816672
+10	80	1.08892112302129	0.6863011953	1.756566582	0.1863011953
+5	80	1.10968000372235	0.5952565769	1.788787657	0.1919826401
+0	80	1.13431042051986	0.5000000000	1.817077696	0.1969709374
+-5	80	1.16296713596600	0.4001691766	1.841071533	0.2012016981
+-10	80	1.19581015805549	0.2954113874	1.860279679	0.2045886126
+-15	80	1.23300222606811	0.1854058717	1.874081271	0.2070222056
+-20	80	1.27469917686002	0.06989137754	1.881713728	0.2083680137
+-25	80	1.32101896959583	-0.05129164278	1.882248743	0.2084623513
+-30	80	1.37203981804954	-0.1781586840	1.874605296	0.2071146054
+-35	80	1.42783895518810	-0.3105632324	1.857604265	0.2041168649
+-40	80	1.48831284694913	-0.4480594463	1.829853251	0.1992236124
+-45	80	1.55335914340148	-0.5899514800	1.789951480	0.1921878536
+
+45	85	1.04318414390198	1.236235093	1.436235093	0.06441222430
+40	85	1.03831527108971	1.165922303	1.493615297	0.06943234165
+35	85	1.03703309916810	1.093296090	1.547314628	0.07413042439
+30	85	1.03932529820616	1.018177427	1.597509631	0.07852191813
+25	85	1.04516353517427	0.9403231727	1.644276091	0.08261345321
+20	85	1.05461727024803	0.8594875280	1.687683866	0.08641114140
+15	85	1.06776145803588	0.7753754496	1.727715169	0.08991342663
+10	85	1.08467911272395	0.6876573057	1.764257466	0.09311046338
+5	85	1.10548378189983	0.5959853914	1.797118043	0.09598539135
+0	85	1.13025224854146	0.5000000000	1.825951298	0.09850797421
+-5	85	1.15915081444435	0.3993548830	1.850378951	0.1006451170
+-10	85	1.19233329474667	0.2937177447	1.869884804	0.1023516580
+-15	85	1.22995442914065	0.1827950182	1.883825109	0.1035712766
+-20	85	1.27215249842218	0.06636121010	1.891412783	0.1042351121
+-25	85	1.31902634392246	-0.05570046703	1.891703497	0.1042605463
+-30	85	1.37062322912354	-0.1833529595	1.883602045	0.1035517611
+-35	85	1.42699822898495	-0.3163986955	1.865938170	0.1020063722
+-40	85	1.48800650028340	-0.4543312543	1.837327701	0.09950328054
+-45	85	1.55350038227121	-0.5963946343	1.796394634	0.09592210125
+
+45	90	1.04240346216827	1.237090557	1.437090557	0.000000000
+40	90	1.03739445916130	1.166824305	1.494690261	0.000000000
+35	90	1.03597884702590	1.094213055	1.548624190	0.000000000
+30	90	1.03815036468132	1.019075182	1.599064589	0.000000000
+25	90	1.04388543030583	0.9411650460	1.646081494	0.000000000
+20	90	1.05325970404884	0.8602360349	1.689740372	0.000000000
+15	90	1.06635301433645	0.7759924689	1.730017916	0.000000000
+10	90	1.08325110022750	0.6881045795	1.766794082	0.000000000
+5	90	1.10406894661173	0.5962259491	1.799867631	0.000000000
+0	90	1.12888135918230	0.5000000000	1.828881359	0.000000000
+-5	90	1.15785926111380	0.3990859161	1.853453257	0.000000000
+-10	90	1.19115428899887	0.2931582284	1.873057979	0.000000000
+-15	90	1.22891822283640	0.1819325591	1.887043850	0.000000000
+-20	90	1.27128335329727	0.06519548530	1.894615586	0.000000000
+-25	90	1.31834205485249	-0.05715542760	1.894823670	0.000000000
+-30	90	1.37013113160762	-0.1850655658	1.886568366	0.000000000
+-35	90	1.42669815283586	-0.3183204423	1.868682708	0.000000000
+-40	90	1.48788433857468	-0.4563936175	1.839785530	0.000000000
+-45	90	1.55352700727310	-0.5985094816	1.798509482	0.000000000
 
 
 ### -x patch
@@ -815,205 +815,205 @@
 # dpy = 180 - dsigma = 180 - dphi
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
--90	45	1.55553008231467	-0.5999258695	1.799925870	1.346976209e-16
--90	40	1.62544300721826	-0.7451615833	1.744814625	1.524832786e-16
--90	35	1.69913630157903	-0.8918509750	1.674584545	1.704469548e-16
--90	30	1.77608891248908	-1.038138118	1.588044456	1.883613712e-16
--90	25	1.85566176836332	-1.181800711	1.484236551	2.059543836e-16
--90	20	1.93708773362496	-1.320267049	1.362523024	2.229110594e-16
--90	15	2.01952559281729	-1.450711927	1.222691685	2.388854220e-16
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+-85	5	2.17737724381976	-1.660899961	0.8890542496	0.1890542496
+-85	0	2.25641922759325	-1.747832871	0.7000000000	0.1966598937
+-85	-5	2.33272225316861	-1.815069399	0.4974576723	0.2025423277
+-85	-10	2.40515718671066	-1.859874422	0.2838904684	0.2064622592
+-85	-15	2.47281605031194	-1.880073326	0.06226127427	0.2082294344
+-85	-20	2.53480626001591	-1.873929686	-0.1640397441	0.2076919356
+-85	-25	2.59033135204584	-1.840292099	-0.3912961282	0.2047490280
+-85	-30	2.63875733720554	-1.778699584	-0.6156078180	0.1993603811
+-85	-35	2.67940544520404	-1.689225619	-0.8329122810	0.1915324235
+-85	-40	2.71161305296213	-1.572566644	-1.039089907	0.1813260858
+-85	-45	2.73483551626519	-1.430130832	-1.230130832	0.1688645669
+
+-80	45	1.55335899432662	-0.5899513754	1.789951375	0.1921878351
+-80	40	1.62251556833440	-0.7317332969	1.733546955	0.2171878133
+-80	35	1.69511108092554	-0.8742921142	1.662289698	0.2423247791
+-80	30	1.77063642814631	-1.015844437	1.575173194	0.2672842729
+-80	25	1.84855353507922	-1.154366927	1.471443968	0.2917095253
+-80	20	1.92807037757420	-1.287423476	1.350568941	0.3151709848
+-80	15	2.00841841160478	-1.412442971	1.212437550	0.3372152949
+-80	10	2.08868027488930	-1.526620415	1.057347859	0.3573478588
+-80	5	2.16808518238322	-1.627265858	0.8861116469	0.3750943659
+-80	0	2.24575259643745	-1.711634568	0.7000000000	0.3899708459
+-80	-5	2.32086853709022	-1.777172705	0.5007732034	0.4015269876
+-80	-10	2.39244987475728	-1.821364268	0.2906808475	0.4093191525
+-80	-15	2.45955508683300	-1.842021369	0.07245726545	0.4129615568
+-80	-20	2.52134343902806	-1.837419063	-0.1507509638	0.4121500460
+-80	-25	2.57702834486899	-1.806317011	-0.3754532845	0.4066659152
+-80	-30	2.62592362334991	-1.748057057	-0.5979163470	0.3963931133
+-80	-35	2.66741706417003	-1.662578180	-0.8142535437	0.3813208811
+-80	-40	2.70077376392893	-1.550293407	-1.020400442	0.3615220460
+-80	-45	2.72539743303285	-1.412340091	-1.212340091	0.3371971543
+
+-75	45	1.55315370215578	-0.5790482393	1.779048239	0.2891301043
+-75	40	1.62135315993694	-0.7166627387	1.720901255	0.3260037983
+-75	35	1.69263192749661	-0.8542843773	1.648280130	0.3628794052
+-75	30	1.76651267104164	-0.9902477950	1.560394966	0.3993106932
+-75	25	1.84249514919553	-1.122704851	1.456679699	0.4348024544
+-75	20	1.91981609969980	-1.249433735	1.336741806	0.4687593566
+-75	15	1.99784152389635	-1.368207834	1.200584780	0.5005847803
+-75	10	2.07571094526085	-1.476519825	1.048513773	0.5296068910
+-75	5	2.15276346508502	-1.572024282	0.8812786352	0.5551972331
+-75	0	2.22825179773404	-1.652325959	0.7000000000	0.5767140025
+-75	-5	2.30142636345989	-1.715111593	0.5062028472	0.5935373625
+-75	-10	2.37150743168426	-1.758181210	0.3018217253	0.6050778316
+-75	-15	2.43765696568345	-1.779485027	0.08921382797	0.6107861720
+-75	-20	2.49905151228470	-1.777262402	-0.1288557298	0.6101906215
+-75	-25	2.55493659541205	-1.750159524	-0.3492666180	0.6029284272
+-75	-30	2.60462083149703	-1.697284239	-0.5686026471	0.5887605375
+-75	-35	2.64740875093832	-1.618206713	-0.7831843080	0.5675717782
+-75	-40	2.68255004671836	-1.512984442	-0.9890945031	0.5393775557
+-75	-45	2.70939880924788	-1.382345585	-1.182345585	0.5043729795
+
+-70	45	1.55284856939782	-0.5633768470	1.763376847	0.3870375201
+-70	40	1.61970090132059	-0.6951762790	1.702871975	0.4350085903
+-70	35	1.68918333084477	-0.8260166602	1.628486861	0.4826305944
+-70	30	1.76085220916534	-0.9544018302	1.539699288	0.5293589749
+-70	25	1.83414072071875	-1.078625426	1.436125125	0.5745726660
+-70	20	1.90844556961885	-1.196849512	1.317602714	0.6176027144
+-70	15	1.98327440537692	-1.307260160	1.184253900	0.6577889037
+-70	10	2.05791028875875	-1.407791959	1.036395196	0.6943794862
+-70	5	2.13177160386516	-1.496474435	0.8746688801	0.7266572677
+-70	0	2.20430902783940	-1.571372927	0.7000000000	0.7539180896
+-70	-5	2.27489060091195	-1.630510097	0.5136045190	0.7754422591
+-70	-10	2.34285715175767	-1.671952810	0.3170261187	0.7905261731
+-70	-15	2.40754622689926	-1.693878148	0.1121521220	0.7985063433
+-70	-20	2.46825083356849	-1.694587202	-0.09876441798	0.7987644180
+-70	-25	2.52425972103075	-1.672603515	-0.3131016571	0.7907630103
+-70	-30	2.57485840200401	-1.626742240	-0.5278752050	0.7740708715
+-70	-35	2.61928382697305	-1.556149814	-0.7397315998	0.7483773296
+-70	-40	2.65678051944094	-1.460436679	-0.9450016940	0.7135405972
+-70	-45	2.68656132549322	-1.339733228	-1.139733228	0.6696081341
+
+-65	45	1.55249280671373	-0.5425655748	1.742565575	0.4861563117
+-65	40	1.61760268111850	-0.6669390088	1.679178092	0.5441525964
+-65	35	1.68478268512855	-0.7892402350	1.602735731	0.6011825948
+-65	30	1.75362741736425	-0.9081949033	1.513021707	0.6566520676
+-65	25	1.82359799069965	-1.022370840	1.409893181	0.7098931812
+-65	20	1.89423011767346	-1.130343731	1.293396590	0.7602417672
+-65	15	1.96508678999067	-1.230672598	1.163732325	0.8070258863
+-65	10	2.03572680328436	-1.321878043	1.021246254	0.8495556835
+-65	5	2.10566167462581	-1.402406569	0.8664390082	0.8871067522
+-65	0	2.17450774834363	-1.470773305	0.7000000000	0.9189866847
+-65	-5	2.24182490421409	-1.525426248	0.5227981645	0.9444717704
+-65	-10	2.30711700520396	-1.564759282	0.3359272298	0.9628130656
+-65	-15	2.36985375400710	-1.587155119	0.1407484713	0.9732564159
+-65	-20	2.42945464395997	-1.591005793	-0.06106386820	0.9750520144
+-65	-25	2.48529648872443	-1.574768081	-0.2674802449	0.9674802449
+-65	-30	2.53671288591452	-1.537026863	-0.4760780078	0.9498812262
+-65	-35	2.58296145165966	-1.476550364	-0.6839954643	0.9216805713
+-65	-40	2.62321577206126	-1.392388563	-0.8879025451	0.8824352790
+-65	-45	2.65655260703904	-1.283989133	-1.083989133	0.8318877946
+
+-60	45	1.55209536116934	-0.5160849255	1.716084925	0.5866369052
+-60	40	1.61506887294337	-0.6314896927	1.649432584	0.6532658787
+-60	35	1.67950382366610	-0.7436934746	1.570843546	0.7180467624
+-60	30	1.74494507692099	-0.8516286446	1.480363162	0.7803631618
+-60	25	1.81102399058615	-0.9542854019	1.378144420	0.8396320682
+-60	20	1.87736676899508	-1.050638748	1.264386348	0.8952616985
+-60	15	1.94368803440546	-1.139714707	1.139360232	0.9466897277
+-60	10	2.00969857879698	-1.220505895	1.003371610	0.9933345413
+-60	5	2.07508917707700	-1.291943798	0.8567747680	1.034579234
+-60	0	2.13964199058730	-1.352984319	0.7000000000	1.069820995
+-60	-5	2.20308393607651	-1.402473705	0.5335551182	1.098393706
+-60	-10	2.26508151675693	-1.439139601	0.3580773689	1.119562771
+-60	-15	2.32528221904938	-1.461631386	0.1743824542	1.132548409
+-60	-20	2.38327353760473	-1.468499898	-0.01647536920	1.136513946
+-60	-25	2.43856071347478	-1.458208873	-0.2131277936	1.130572420
+-60	-30	2.49055458749213	-1.429175288	-0.4138098719	1.113809872
+-60	-35	2.53853566241826	-1.379817238	-0.6162622003	1.085312988
+-60	-40	2.58166159537710	-1.308668060	-0.8176527021	1.044234991
+-60	-45	2.61898236394537	-1.214526418	-1.014526418	0.9898822890
+
+-55	45	1.55172530517203	-0.4833085790	1.683308579	0.6885200794
+-55	40	1.61216281277022	-0.5883112060	1.613201532	0.7620437104
+-55	35	1.67335498057787	-0.6890271060	1.532565743	0.8325657428
+-55	30	1.73492721313768	-0.7847351840	1.441742204	0.8995812605
+-55	25	1.79661843639468	-0.8748199074	1.341089051	0.9626592628
+-55	20	1.85819607137535	-0.9586924365	1.230920628	1.021387440
+-55	15	1.91947726816273	-1.035784617	1.111512248	1.075367966
+-55	10	1.98038574526303	-1.105575318	0.9831062481	1.124235941
+-55	5	2.04076117192415	-1.167417168	0.8458800996	1.167538070
+-55	0	2.10053423122821	-1.220656910	0.7000000000	1.204816939
+-55	-5	2.15958125355575	-1.264499887	0.5456262631	1.235516122
+-55	-10	2.21775245689682	-1.298017692	0.3829609692	1.258985541
+-55	-15	2.27487476690615	-1.320140166	0.2122949125	1.274475865
+-55	-20	2.33070760681197	-1.329616158	0.03407417821	1.281111026
+-55	-25	2.38489098952532	-1.324981612	-0.1510029015	1.277865882
+-55	-30	2.43695546540391	-1.304595838	-0.3418838929	1.263591609
+-55	-35	2.48629409860208	-1.266673008	-0.5370377577	1.237037758
+-55	-40	2.53212395620489	-1.209342788	-0.7343089027	1.196894705
+-55	-45	2.57341935196813	-1.130743095	-0.9307430946	1.141858608
+
+-50	45	1.55144765896991	-0.4434669747	1.643466975	0.7916627905
+-50	40	1.60894466065859	-0.5368047077	1.569982448	0.8699824478
+-50	35	1.66644944593835	-0.6249580947	1.487704138	0.9439519224
+-50	30	1.72374613312794	-0.7076271268	1.397223847	1.013319477
+-50	25	1.78061357206026	-0.7845351093	1.298988559	1.077852936
+-50	20	1.83705172281001	-0.8555593139	1.193383241	1.137449320
+-50	15	1.89297790010532	-0.9204898310	1.080619103	1.191932493
+-50	10	1.94841323421908	-0.9791386311	0.9608120489	1.241144680
+-50	5	2.00340500730587	-1.031262135	0.8339680777	1.284881493
+-50	0	2.05800941125511	-1.076526673	0.7000000000	1.322862950
+-50	-5	2.11224819071925	-1.114454223	0.5587535577	1.354687943
+-50	-10	2.16612330152759	-1.144413310	0.4100455661	1.379826602
+-50	-15	2.21963109334976	-1.165610252	0.2537010781	1.397612948
+-50	-20	2.27265820081420	-1.176993061	0.08962444282	1.407164259
+-50	-25	2.32502009918267	-1.177270124	-0.08212390373	1.407396743
+-50	-30	2.37642231905412	-1.164880925	-0.2612194504	1.397000970
+-50	-35	2.42640877030085	-1.137978394	-0.4469248190	1.374427066
+-50	-40	2.47435995352220	-1.094478736	-0.6379265191	1.337926519
+-50	-45	2.51939150052969	-1.032093373	-0.8320933731	1.285578984
+
+-45	45	1.55137356134177	-0.3956859433	1.595685943	0.8956859433
+-45	40	1.60550192442828	-0.4763384764	1.519245255	0.9763384764
+-45	35	1.65892705241537	-0.5512409620	1.436086846	1.051240962
+-45	30	1.71153065023827	-0.6204598227	1.346897780	1.120459823
+-45	25	1.76332407408454	-0.6841478227	1.252177198	1.184147823
+-45	20	1.81432046346018	-0.7424304674	1.152207708	1.242430467
+-45	15	1.86462436914794	-0.7954414232	1.047112483	1.295441423
+-45	10	1.91441649600107	-0.8432959802	0.9368593244	1.343295980
+-45	5	1.96382114573076	-0.8859816138	0.8212576791	1.385981614
+-45	0	2.01297134060236	-0.9233856853	0.7000000000	1.423385685
+-45	-5	2.06202213818529	-0.9552877063	0.5726788235	1.455287706
+-45	-10	2.11112887878109	-0.9813239138	0.4388026268	1.481323914
+-45	-15	2.16042488521169	-1.000947823	0.2978222429	1.500947823
+-45	-20	2.20994779164328	-1.013352532	0.1491847243	1.513352532
+-45	-25	2.25967643092052	-1.017469741	-0.007607761176	1.517469741
+-45	-30	2.30954981892992	-1.011955267	-0.1729277802	1.511955267
+-45	-35	2.35932339055781	-0.9950732084	-0.3468615307	1.495073208
+-45	-40	2.40856396194240	-0.9646968858	-0.5290266166	1.464696886
+-45	-45	2.45658707324543	-0.9183112080	-0.7183112080	1.418311208
 
 
 ### -y patch
@@ -1024,204 +1024,204 @@
 # dpy = drho = dmu
 #
 # dpx	dpy	gridfn	global_x	global_y	global_z
--45	-90	2.74049348566694	-1.437821528	-1.237821528	2.373068555e-16
--40	-90	2.75369735825752	-1.270042543	-1.409454559	2.583251456e-16
--35	-90	2.75742263613137	-1.081592649	-1.558748389	2.766077629e-16
--30	-90	2.75163945628183	-0.8758197281	-1.682989671	2.918224292e-16
--25	-90	2.73642590240920	-0.6564635583	-1.780044104	3.037077768e-16
--20	-90	2.71199155417881	-0.4275557401	-1.848438451	3.120833920e-16
--15	-90	2.67865610724411	-0.1932872158	-1.887383114	3.168525801e-16
--10	-90	2.63685560554341	0.04211482933	-1.896795844	3.180052690e-16
--5	-90	2.58714818344583	0.2745151785	-1.877303304	3.156182001e-16
--1.23374e-14	-90	2.53020146043346	0.5000000000	-1.830201460	3.098500785e-16
-5	-90	2.46677943488075	0.7149939938	-1.757392594	3.009338585e-16
-10	-90	2.39773281672172	0.9163619342	-1.661305868	2.891670169e-16
-15	-90	2.32398204895502	1.101490815	-1.544794281	2.748989339e-16
-20	-90	2.24650574922426	1.268350218	-1.411024875	2.585174475e-16
-25	-90	2.16631532598757	1.415524417	-1.263348449	2.404328986e-16
-30	-90	2.08441421626598	1.542207108	-1.105155663	2.210605095e-16
-35	-90	2.00182501874363	1.648199660	-0.9397990564	2.008108343e-16
-40	-90	1.91952087123662	1.733844233	-0.7704382969	1.800708081e-16
-45	-90	1.83841591421051	1.799956360	-0.5999563596	1.591934818e-16
-
--45	-85	2.73731597729992	-1.431881436	-1.231881436	0.1690177250
--40	-85	2.74992493286800	-1.263661187	-1.401849556	0.1838880086
--35	-85	2.75309611697136	-1.075071386	-1.549435061	0.1968000671
--30	-85	2.74683125848821	-0.8694903383	-1.672026846	0.2075254586
--25	-85	2.73123383651110	-0.6506577753	-1.767593562	0.2158864629
--20	-85	2.70653359823827	-0.4225764645	-1.834758004	0.2217625901
--15	-85	2.67306687104686	-0.1893833692	-1.872813760	0.2250920373
--10	-85	2.63127674555345	0.04477015465	-1.881736746	0.2258726975
--5	-85	2.58171972434434	0.2758380700	-1.862182584	0.2241619300
--1.23374e-14	-85	2.52505354807653	0.5000000000	-1.815444957	0.2200729175
-5	-85	2.46202517107683	0.7137692596	-1.743393818	0.2137692596
-10	-85	2.39346101574203	0.9140860097	-1.648398459	0.2054582426
-15	-85	2.32025533497880	1.098393350	-1.533234386	0.1953826918
-20	-85	2.24335580594925	1.264692989	-1.400976721	0.1838116454
-25	-85	2.16374383377990	1.411576531	-1.254882179	0.1710300292
-30	-85	2.08239538019185	1.538221895	-1.098253071	0.1573267579
-35	-85	2.00031080187982	1.644396045	-0.9343669304	0.1429885784
-40	-85	1.91844580649942	1.730393007	-0.7663252868	0.1282868396
-45	-85	1.83770431538050	1.796973708	-0.5969737078	0.1134704963
-
--45	-80	2.72772412016929	-1.413972666	-1.213972666	0.3374850214
--40	-80	2.73856844400732	-1.244475759	-1.378985252	0.3665811925
--35	-80	2.74010997632620	-1.055520244	-1.521513136	0.3917127038
--30	-80	2.73243366507928	-0.8505611091	-1.639240460	0.4124712074
--25	-80	2.71571872722350	-0.6333319755	-1.730438265	0.4285518410
--20	-80	2.69025449099129	-0.4077448815	-1.794008564	0.4397610000
--15	-80	2.65642033670108	-0.1777718829	-1.829479103	0.4460154130
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