path: root/test/Kerr-selection-areal-radius/h.t0.ah1.gp

# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.57116286869204	-0.9844615744	-0.7844615744	1.484461574
-40	-45	2.54949511353099	-0.8009400635	-0.8503999944	1.550399994
-35	-45	2.52444193562256	-0.6201267107	-0.8997067291	1.599706729
-30	-45	2.49680221949140	-0.4437025351	-0.9345407380	1.634540738
-25	-45	2.46714655618420	-0.2725761207	-0.9567948375	1.656794838
-20	-45	2.43586198535986	-0.1071229357	-0.9680565567	1.668056557
-15	-45	2.40319156254753	0.05262957801	-0.9696091447	1.669609145
-10	-45	2.36926851264582	0.2068645510	-0.9624537427	1.662453743
-5	-45	2.33413936849843	0.3558767314	-0.9473364980	1.647336498
0	-45	2.29778215780688	0.5000000000	-0.9247773455	1.624777345
5	-45	2.26012118822372	0.6395529579	-0.8950976079	1.595097608
10	-45	2.22104123932674	0.7747961734	-0.8584465422	1.558446542
15	-45	2.18039129137131	0.9058946392	-0.8148194159	1.514819416
20	-45	2.13799531999906	1.032881585	-0.7640801216	1.464080122
25	-45	2.09366323235575	1.155621456	-0.7059847504	1.405984750
30	-45	2.04720082884702	1.273769182	-0.6402075373	1.340207537
35	-45	1.99842566618763	1.386726661	-0.5663769131	1.266376913
40	-45	1.94719212276281	1.493600745	-0.4841272573	1.184127257
45	-45	1.89342433704146	1.593169051	-0.3931690507	1.093169051

-45	-40	2.52413711599631	-1.034979279	-0.5880005466	1.534979279
-40	-40	2.50096778597581	-0.8523138052	-0.6523138052	1.611624836
-35	-40	2.47426267035058	-0.6695445961	-0.7015336678	1.670282784
-30	-40	2.44479767335113	-0.4888760331	-0.7371960298	1.712783532
-25	-40	2.41315753388932	-0.3117728494	-0.7607486851	1.740852493
-20	-40	2.37976451386884	-0.1391414646	-0.7734813915	1.756026742
-15	-40	2.34490862431635	0.02851165492	-0.7764952000	1.759618459
-10	-40	2.30877453674843	0.1909504582	-0.7706958375	1.752707048
-5	-40	2.27146350811592	0.3481067988	-0.7568005035	1.736147234
0	-40	2.23301136031101	0.5000000000	-0.7353520347	1.710585944
5	-40	2.19340431728155	0.6466733681	-0.7067373314	1.676484269
10	-40	2.15259617628174	0.7881437106	-0.6712097850	1.634144188
15	-40	2.11051333580818	0.9243587275	-0.6289058591	1.583728332
20	-40	2.06706779192138	1.055159441	-0.5798686209	1.525288027
25	-40	2.02216946984447	1.180246627	-0.5240731708	1.458793599
30	-40	1.97574015379528	1.299150828	-0.4614564002	1.384169838
35	-40	1.92772908426071	1.411206866	-0.3919524618	1.301338269
40	-40	1.87813251268297	1.515536681	-0.3155366811	1.210269488
45	-40	1.82702109763239	1.611048805	-0.2322806426	1.111048805

-45	-35	2.47578439822417	-1.068873067	-0.3985367479	1.568873067
-40	-35	2.45057338699232	-0.8881149922	-0.4583470488	1.654291029
-35	-35	2.42182542220178	-0.7049618311	-0.5049618311	1.720863837
-30	-35	2.39028382029448	-0.5219301285	-0.5393917829	1.770034904
-25	-35	2.35653758544441	-0.3408855295	-0.5626736367	1.803284837
-20	-35	2.32103481286614	-0.1631621275	-0.5757942189	1.822022971
-15	-35	2.28410488676438	0.01031608863	-0.5796469471	1.827525237
-10	-35	2.24597992898824	0.1789257080	-0.5750098634	1.820902795
-5	-35	2.20681403003127	0.3422499140	-0.5625384242	1.803091734
0	-35	2.16670038104522	0.5000000000	-0.5427682832	1.774857046
5	-35	2.12568713858809	0.6519508778	-0.5161249900	1.736806480
10	-35	2.08379353427972	0.7978889192	-0.4829390259	1.689412012
15	-35	2.04101822340987	0.9375691294	-0.4434600721	1.633030223
20	-35	1.99735220922215	1.070680083	-0.3978768554	1.567930643
25	-35	1.95278989213348	1.196815859	-0.3463386326	1.494326433
30	-35	1.90734196526197	1.315455555	-0.2889804461	1.412410453
35	-35	1.86105062579245	1.425952362	-0.2259523619	1.322397020
40	-35	1.81400042025103	1.527531431	-0.1574491360	1.224564274
45	-35	1.76633875416889	1.619306390	-0.08374677219	1.119306390

-45	-30	2.42679685484634	-1.088711469	-0.2172429943	1.588711469
-40	-30	2.39909477017404	-0.9103291722	-0.2703900430	1.680764858
-35	-30	2.36797041798601	-0.7278220073	-0.3123903668	1.753511552
-30	-30	2.33413878285602	-0.5438585975	-0.3438585975	1.808016127
-25	-30	2.29818943734022	-0.3605652665	-0.3654930915	1.845488170
-20	-30	2.26059198283673	-0.1795940331	-0.3780106752	1.867169260
-15	-30	2.22171105206845	-0.002205840244	-0.3821031944	1.874257712
-10	-30	2.18182262321997	0.1706456141	-0.3784103634	1.867861541
-5	-30	2.14113017439789	0.3382357780	-0.3675053583	1.848973518
0	-30	2.09978018395287	0.5000000000	-0.3498900920	1.818462982
5	-30	2.05787708078039	0.6554743793	-0.3259977823	1.777080287
10	-30	2.01549817117189	0.8042470801	-0.2962011082	1.725470934
15	-30	1.97270132866916	0.9459185309	-0.2608208985	1.664190613
20	-30	1.92953918125427	1.080070762	-0.2201412070	1.593731321
25	-30	1.88606759741788	1.206244767	-0.1744239976	1.514546791
30	-30	1.84235452447295	1.323925991	-0.1239259911	1.427081678
35	-30	1.79849467651395	1.432541778	-0.06891952338	1.331807681
40	-30	1.75461297104023	1.531464822	-0.009708919225	1.229251907
45	-30	1.71087919258208	1.620033344	0.05334844759	1.120033344

-45	-25	2.37760538600528	-1.096664097	-0.04453669611	1.596664097
-40	-25	2.34707193558691	-0.9207453080	-0.08954201954	1.693178325
-35	-25	2.31332325291763	-0.7395186492	-0.1254653185	1.770216088
-30	-25	2.27705445078530	-0.5556944292	-0.1526511951	1.828516389
-25	-25	2.23885699038046	-0.3715458776	-0.1715458776	1.869036166
-20	-25	2.19922034968014	-0.1889394501	-0.1826483908	1.892845582
-15	-25	2.15854123723431	-0.009384802597	-0.1864741567	1.901049964
-10	-25	2.11713510507629	0.1659071730	-0.1835292429	1.894734576
-5	-25	2.07524927348788	0.3359648964	-0.1742941305	1.874929813
0	-25	2.03307609570041	0.5000000000	-0.1592150856	1.842592697
5	-25	1.99076649178371	0.6573572832	-0.1387018761	1.798601977
10	-25	1.94844318662283	0.8074725325	-0.1131302199	1.743763384
15	-25	1.90620706375502	0.9498375533	-0.08284503914	1.678816604
20	-25	1.86415047543654	1.083973681	-0.04816942175	1.604454503
25	-25	1.82236480268227	1.209413124	-0.009413123776	1.521341353
30	-25	1.78094557190972	1.325687027	0.03311855158	1.430131881
35	-25	1.74000517870499	1.432324899	0.07911231074	1.331497946
40	-25	1.69967121944046	1.528856369	0.1282400012	1.226143274
45	-25	1.66009844999203	1.614827384	0.1801474532	1.114827384

-45	-20	2.32844870905581	-1.094500903	0.1196491327	1.594500903
-40	-20	2.29485482554700	-0.9209077671	0.08366301968	1.693371936
-35	-20	2.25833132245237	-0.7413282341	0.05475340734	1.772800443
-30	-20	2.21956081752963	-0.5584441039	0.03274102569	1.833278965
-25	-20	2.17913953524474	-0.3745890353	0.01735117255	1.875562239
-20	-20	2.13757541957699	-0.1917527030	0.008247296960	1.900574931
-15	-20	2.09529289269819	-0.01160532948	0.005058134587	1.909337083
-10	-20	2.05264057676120	0.1644662147	0.007398618513	1.902906656
-5	-20	2.00990115750409	0.3353166992	0.01488472740	1.882338741
0	-20	1.96730241088778	0.5000000000	0.02714294746	1.848659558
5	-20	1.92502877228335	0.6577291953	0.04381518854	1.802852952
10	-20	1.88323275283689	0.8078416267	0.06456015678	1.745856621
15	-20	1.84204023650831	0.9497689108	0.08905396826	1.678560427
20	-20	1.80156196857394	1.083013516	0.1169864838	1.601816471
25	-20	1.76190036582083	1.207131745	0.1480577313	1.516448920
30	-20	1.72315321129281	1.321721731	0.1819743459	1.423263787
35	-20	1.68542438352532	1.426420695	0.2184434056	1.323065869
40	-20	1.64882040447426	1.520901929	0.2571706855	1.216663542
45	-20	1.61345936823728	1.604882581	0.2978556280	1.104882581

-45	-15	2.27942803977023	-1.083624859	0.2756689979	1.583624859
-40	-15	2.24265162883140	-0.9121080586	0.2490723629	1.682884852
-35	-15	2.20330142827128	-0.7343776166	0.2276393534	1.762873933
-30	-15	2.16205365416501	-0.5530465532	0.2112793939	1.823930133
-25	-15	2.11951053140385	-0.3704449461	0.1998258847	1.866675211
-20	-15	2.07619491410488	-0.1886076747	0.1930578027	1.891934037
-15	-15	2.03255202821897	-0.009281941738	0.1907180583	1.900666082
-10	-15	1.98895407935045	0.1660527843	0.1925286738	1.893908773
-5	-15	1.94570767281106	0.3361569967	0.1982024111	1.872734097
0	-15	1.90306256643556	0.5000000000	0.2074511638	1.838217282
5	-15	1.86122166478632	0.6567286554	0.2199913343	1.791416728
10	-15	1.82035055174658	0.8056385286	0.2355469901	1.733362231
15	-15	1.78058218549934	0.9461476706	0.2538523294	1.665045775
20	-15	1.74202810828221	1.077775197	0.2746509391	1.587424306
25	-15	1.70478233870628	1.200123519	0.2976957956	1.501419731
30	-15	1.66892634197724	1.312864717	0.3227481719	1.407922990
35	-15	1.63453879289187	1.415734031	0.3495750462	1.307803732
40	-15	1.60169206606779	1.508521451	0.3779494375	1.201909062
45	-15	1.57045955669876	1.591071423	0.4076482934	1.091071423

-45	-10	2.23054890399351	-1.065117822	0.4240275000	1.565117822
-40	-10	2.19056622962402	-0.8953968152	0.4067736677	1.662969168
-35	-10	2.14843274489789	-0.7196337577	0.3928705757	1.741817520
-30	-10	2.10482153875000	-0.5403510058	0.3822692194	1.801940800
-25	-10	2.06033830161364	-0.3598266286	0.3748699475	1.843904156
-20	-10	2.01551361548601	-0.1800740131	0.3705351534	1.868487995
-15	-10	1.97080274175883	-0.002840106507	0.3691004106	1.876624826
-10	-10	1.92658848270882	0.1703840806	0.3703840806	1.869344771
-5	-10	1.88318663745367	0.3383444667	0.3741951362	1.847731201
0	-10	1.84085343386765	0.5000000000	0.3803391559	1.812886734
5	-10	1.79979416191269	0.6544969996	0.3886226356	1.765908786
10	-10	1.76017140768989	0.8011439765	0.3988560235	1.707872359
15	-10	1.72210998932735	0.9393874395	0.4108561520	1.639816248
20	-10	1.68570789494704	1.068791064	0.4244466677	1.562740604
25	-10	1.65103813495247	1.189016242	0.4394592359	1.477600099
30	-10	1.61815717106526	1.299807209	0.4557330483	1.385306722
35	-10	1.58710948478411	1.400978776	0.4731146002	1.286731043
40	-10	1.55793018312884	1.492405884	0.4914575020	1.182703278
45	-10	1.53064846684470	1.574015992	0.5106220029	1.074015992

-45	-5	2.18174949920281	-1.039786196	0.5652861636	1.539786196
-40	-5	2.13862734124170	-0.8716061809	0.5569895788	1.634616594
-35	-5	2.09384473250289	-0.6979076592	0.5503253187	1.710789436
-30	-5	2.04807073875897	-0.5211086248	0.5452664982	1.768612018
-25	-5	2.00190677954590	-0.3433952343	0.5417621487	1.808666917
-20	-5	1.95587943974542	-0.1667008825	0.5397430238	1.831745620
-15	-5	1.91043931454767	0.007298113057	0.5391268538	1.838788475
-10	-5	1.86596324918992	0.1771749065	0.5398229479	1.830832084
-5	-5	1.82275912211024	0.3417360340	0.5417360340	1.808965409
0	-5	1.78107271503507	0.5000000000	0.5447692846	1.774295196
5	-5	1.74109583325935	0.6511734208	0.5488265792	1.727920106
10	-5	1.70297406417619	0.7946267895	0.5538141812	1.670911555
15	-5	1.66681325853031	0.9298707797	0.5596419729	1.604299590
20	-5	1.63268772946465	1.056534482	0.5662240661	1.529065921
25	-5	1.60064386922410	1.174344792	0.5734794002	1.446137073
30	-5	1.57070939231944	1.283110113	0.5813315576	1.356386504
35	-5	1.54289609130172	1.382704919	0.5897088799	1.260633271
40	-5	1.51720488982538	1.473057608	0.5985442175	1.159644900
45	-5	1.49362912711099	1.554140044	0.6077746964	1.054140044

-45	0	2.13292291120120	-1.008204254	0.7000000000	1.508204254
-40	0	2.08681318905812	-0.8413776617	0.7000000000	1.598591647
-35	0	2.03960159620567	-0.6698674151	0.7000000000	1.670743817
-30	0	1.99194773879471	-0.4959738694	0.7000000000	1.725077345
-25	0	1.94443530072286	-0.3217538669	0.7000000000	1.762256854
-20	0	1.89757008598732	-0.1490071928	0.7000000000	1.783132607
-15	0	1.85177956187969	0.02072418205	0.7000000000	1.788681703
-10	0	1.80741542662901	0.1861456049	0.7000000000	1.779956725
-5	0	1.76475897327343	0.3461911209	0.7000000000	1.758043533
0	0	1.72402856517995	0.5000000000	0.7000000000	1.724028565
5	0	1.68538822401306	0.6468912625	0.7000000000	1.678974813
10	0	1.64895622228572	0.7863382431	0.7000000000	1.623904872
15	0	1.61481077388344	0.9179437825	0.7000000000	1.559787431
20	0	1.58299869170834	1.041417439	0.7000000000	1.487532189
25	0	1.55354009636129	1.156554415	0.7000000000	1.407985487
30	0	1.52643618903909	1.263218095	0.7000000000	1.321932517
35	0	1.50167284087758	1.361324157	0.7000000000	1.230098377
40	0	1.47922557264401	1.450827870	0.7000000000	1.133152530
45	0	1.45906343185421	1.531713647	0.7000000000	1.031713647

-45	5	2.08393459166060	-0.9707525860	0.8286741781	1.470752586
-40	5	2.03507171367391	-0.8051908985	0.8360856365	1.555465942
-35	5	1.98573462333188	-0.6360568802	0.8419466268	1.622457369
-30	5	1.93655959134006	-0.4655124033	0.8463087389	1.672316538
-25	5	1.88809649254667	-0.2954474204	0.8492418803	1.705842498
-20	5	1.84080845570646	-0.1274766210	0.8508285178	1.723977848
-15	5	1.79507802077855	0.03704976582	0.8511588705	1.727753795
-10	5	1.75121107076977	0.1970278606	0.8503265550	1.718240386
-5	5	1.70944358664819	0.3515748360	0.8484251640	1.696507388
0	5	1.66995107527360	0.5000000000	0.8455458263	1.663596407
5	5	1.63285854143348	0.6417755454	0.8417755454	1.620501899
10	5	1.59824832026841	0.7765084809	0.8371960057	1.568157521
15	5	1.56616711521597	0.9039141610	0.8318828760	1.507428171
20	5	1.53663522341671	1.023793051	0.8259057739	1.439109581
25	5	1.50964995149554	1.136009422	0.8193281161	1.363926608
30	5	1.48519394013260	1.240474591	0.8122076766	1.282539613
35	5	1.46323708168737	1.337131273	0.8045968407	1.195547360
40	5	1.44374191724491	1.425942215	0.7965432994	1.103494961
45	5	1.42666681202272	1.506880884	0.7880906628	1.006880884

-45	10	2.03463272584628	-0.9276485642	0.9517329608	1.427648564
-40	10	1.98333312141234	-0.7633887457	0.9654863793	1.505648076
-35	10	1.93225507746351	-0.5969128666	0.9762257235	1.566553924
-30	10	1.88198994975167	-0.4302119448	0.9840935086	1.611174350
-25	10	1.83303048095451	-0.2649658395	0.9892599220	1.640474537
-20	10	1.78577516921592	-0.1025557339	0.9919107753	1.655508273
-15	10	1.74053722195594	0.05591094759	0.9922377973	1.657362907
-10	10	1.69755610288470	0.2095687426	0.9904312574	1.647117510
-5	10	1.65700576528557	0.3577601681	0.9866739424	1.625808718
0	10	1.61900575244324	0.5000000000	0.9811373985	1.594409417
5	10	1.58363268533689	0.6359413779	0.9739798707	1.553817059
10	10	1.55092858521940	0.7653450678	0.9653450678	1.504846659
15	10	1.52090882122574	0.8880520041	0.9553619872	1.448229795
20	10	1.49357053937371	1.003960133	0.9441457030	1.384619087
25	10	1.46889504152492	1.113003734	0.9317978176	1.314590749
30	10	1.44685644744335	1.215138330	0.9184084589	1.238655922
35	10	1.42742027173068	1.310325552	0.9040570119	1.157264822
40	10	1.41055096531440	1.398524910	0.8888145086	1.070820290
45	10	1.39621029809836	1.479684246	0.8727447651	0.9796842457

-45	15	1.98486002333764	-0.8789747340	1.069495166	1.378974734
-40	15	1.93152501093766	-0.7162040677	1.088369731	1.449415567
-35	15	1.87916958785492	-0.5527859908	1.102870778	1.503534214
-30	15	1.82831207671084	-0.3904948898	1.113280117	1.542382393
-25	15	1.77936002604652	-0.2307512367	1.119903470	1.567101084
-20	15	1.73262151385630	-0.07465532914	1.123052263	1.578852541
-15	15	1.68831919141217	0.07697000414	1.123029996	1.578769438
-10	15	1.64660680218524	0.2235332064	1.120123193	1.567921100
-5	15	1.60758236190395	0.3646296533	1.114595144	1.547290143
0	15	1.57129997530949	0.5000000000	1.106682359	1.517759227
5	15	1.53778274171032	0.6294927015	1.096593837	1.480108351
10	15	1.50703152551089	0.7530319765	1.084511284	1.435015648
15	15	1.47903267637182	0.8705905792	1.070590579	1.383062870
20	15	1.45376447883789	0.9821673391	1.054964052	1.324743877
25	15	1.43120129689360	1.087768693	1.037742999	1.260474031
30	15	1.41131775837031	1.187394274	1.019020793	1.190601807
35	15	1.39408907759871	1.281024480	0.9988755010	1.115418555
40	15	1.37949494381919	1.368612807	0.9773736176	1.035172434
45	15	1.36751669757269	1.450077563	0.9545725158	0.9500775632

-45	20	1.93446377264302	-0.8247035337	1.182152655	1.324703534
-40	20	1.87958524098035	-0.6637848452	1.204806613	1.386944770
-35	20	1.82649427112590	-0.5039620341	1.221862843	1.433806378
-30	20	1.77560160147483	-0.3467328451	1.233793034	1.466584308
-25	20	1.72719913372743	-0.1932045423	1.241071576	1.486581938
-20	20	1.68147904548896	-0.04415281172	1.244152812	1.495047563
-15	20	1.63855416397048	0.09991605667	1.243456188	1.493133604
-10	20	1.59847821215544	0.2387056208	1.239358050	1.481874062
-5	20	1.56126407034026	0.3720762364	1.232188290	1.462175308
0	20	1.52689559062575	0.5000000000	1.222229049	1.434812519
5	20	1.49534107598138	0.6225222958	1.209717110	1.400436249
10	20	1.46656115482700	0.7397306285	1.194846635	1.359579955
15	20	1.44051692677623	0.8517294119	1.177773548	1.312672036
20	20	1.41717407865898	0.9586196073	1.158619607	1.260047015
25	20	1.39650709817378	1.060482602	1.137477232	1.201958818
30	20	1.37850047245325	1.157366847	1.114413880	1.138592779
35	20	1.36315111835862	1.249277997	1.089477224	1.070079878
40	20	1.35046594330508	1.336169472	1.062699240	0.9965079724
45	20	1.34046217133985	1.417936536	1.034101576	0.9179365364

-45	25	1.88330725627427	-0.7647216809	1.289749405	1.264721681
-40	25	1.82747232255385	-0.6062177892	1.314751583	1.318339024
-35	25	1.77426267638478	-0.4506806596	1.333111824	1.357712689
-30	25	1.72394395037163	-0.2992597735	1.345536987	1.384358536
-25	25	1.67665990655668	-0.1526928857	1.352692886	1.399704410
-20	25	1.63246442160381	-0.01139447715	1.355183140	1.405044778
-15	25	1.59134608287008	0.1244651266	1.353537284	1.401515228
-10	25	1.55325108186319	0.2548904443	1.348207452	1.390085367
-5	25	1.51810335292218	0.3800036969	1.339570806	1.371564020
0	25	1.48581651641549	0.5000000000	1.327933193	1.346607079
5	25	1.45630628018015	0.6151116420	1.313535949	1.315732089
10	25	1.42949702209998	0.7255806444	1.296562033	1.279331408
15	25	1.40532877975869	0.8316374553	1.277143315	1.237687833
20	25	1.38375913109418	0.9334837366	1.255366255	1.190986778
25	25	1.36476864040427	1.031279348	1.231279348	1.139332239
30	25	1.34835936730334	1.125130186	1.204897995	1.082757244
35	25	1.33455729752178	1.215078905	1.176211339	1.021238513
40	25	1.32340817149975	1.301094300	1.145187190	0.9547070105
45	25	1.31497892174526	1.383064804	1.111779881	0.8830648036

-45	30	1.83128356994481	-0.6988565112	1.392160129	1.198856511
-40	30	1.77518243710082	-0.5435567649	1.418028893	1.243662524
-35	30	1.72254314741352	-0.3931599689	1.436447582	1.275564629
-30	30	1.67344646234738	-0.2483880093	1.448388009	1.296246056
-25	30	1.62786242935565	-0.1095589174	1.454714187	1.307203317
-20	30	1.58568841240651	0.02329991804	1.456168760	1.309722711
-15	30	1.54678192124244	0.1503582616	1.453373242	1.304880732
-10	30	1.51098119712780	0.2719116674	1.446833296	1.293553214
-5	30	1.47812438009908	0.3883264347	1.436949913	1.276434692
0	30	1.44805970425922	0.5000000000	1.424029852	1.254056490
5	30	1.42065560372870	0.6073317499	1.408297649	1.226807515
10	30	1.39580478135002	0.7107020166	1.389905002	1.194950516
15	30	1.37343056474913	0.8104565961	1.368940995	1.158639790
20	30	1.35348682461177	0.9068941131	1.345438565	1.117932388
25	30	1.33596342162054	1.000256288	1.319383143	1.072803073
30	30	1.32088311956277	1.090716889	1.290716889	1.023151665
35	30	1.30830471563769	1.178372208	1.259346131	0.9688159174
40	30	1.29832129535996	1.263229707	1.225147265	0.9095817449
45	30	1.29105896233209	1.345196489	1.187974420	0.8451964888

-45	35	1.77833140165597	-0.6269059786	1.489068061	1.126905979
-40	35	1.72275861323634	-0.4758479675	1.514320586	1.162970321
-35	35	1.67144414288698	-0.3316150192	1.531615019	1.187669332
-30	35	1.62424522200111	-0.1944217730	1.542191276	1.202773793
-25	35	1.58093807457582	-0.06412762445	1.547093991	1.209775595
-20	35	1.54125865202270	0.05963419374	1.547177676	1.209895109
-15	35	1.50493459737176	0.1773605870	1.543124576	1.204106682
-10	35	1.47170374771833	0.2896124392	1.535464632	1.193167149
-5	35	1.44132748987984	0.3969693266	1.524596596	1.177645985
0	35	1.41359837789302	0.5000000000	1.510806720	1.157952001
5	35	1.38834599084941	0.5992433873	1.494285398	1.134357108
10	35	1.36543772698531	0.6951962908	1.475138970	1.107013176
15	35	1.34478391224449	0.7883050817	1.453401754	1.075969213
20	35	1.32633640083361	0.8789585854	1.429042194	1.041180156
25	35	1.31009281381040	0.9674816546	1.401970411	1.002517643
30	35	1.29609679002914	1.054126815	1.372042248	0.9597757966
35	35	1.28444015962950	1.139063969	1.339063969	0.9126779336
40	35	1.27526488451736	1.222367391	1.302797420	0.8608839340
45	35	1.26876105062192	1.303997732	1.262965273	0.8039977318

-45	40	1.72446174227881	-0.5486803687	1.579947311	1.048680369
-40	40	1.67031286621654	-0.4031652309	1.603165231	1.076350409
-35	40	1.62112644800919	-0.2662806781	1.618278938	1.094362223
-30	40	1.57650868807812	-0.1376689878	1.626764637	1.104475085
-25	40	1.53603400920718	-0.01671334625	1.629802397	1.108095347
-20	40	1.49928342377652	0.09733234200	1.628312954	1.106320298
-15	40	1.46586734094487	0.2052595741	1.622998052	1.099986245
-10	40	1.43543869153322	0.3078540529	1.614378461	1.089713816
-5	40	1.40769745316041	0.4058670009	1.602825139	1.075945103
0	40	1.38239332718510	0.5000000000	1.588585302	1.058974726
5	40	1.35932666927587	0.5908984355	1.571802593	1.038973872
10	40	1.33834656531141	0.6791493220	1.552530505	1.016006293
15	40	1.31935299682863	0.7652809387	1.530743828	0.9900419416
20	40	1.30229623618757	0.8497621378	1.506344182	0.9609635758
25	40	1.28717949736640	0.9330000647	1.479164117	0.9285716352
30	40	1.27406195688925	1.015334806	1.448968639	0.8925860663
35	40	1.26306217938339	1.097029396	1.415455230	0.8526463412
40	40	1.25436428819412	1.178255095	1.378255095	0.8083129464
45	40	1.24822155699442	1.259068996	1.336934514	0.7590689955

-45	45	1.66978067587440	-0.4640483227	1.664048323	0.9640483227
-40	45	1.61804157341006	-0.3256439073	1.683964093	0.9839640927
-35	45	1.57181345661464	-0.1974334454	1.696038185	0.9960381849
-30	45	1.53044355007294	-0.07845328987	1.701910488	1.001910488
-25	45	1.49331469990089	0.03237505288	1.702824935	1.002824935
-20	45	1.45987329454006	0.1361359692	1.699708208	0.9997082082
-15	45	1.42963669840360	0.2338634244	1.693235222	0.9932352220
-10	45	1.40219480931386	0.3265148071	1.683883421	0.9838834207
-5	45	1.37720600845354	0.4149633333	1.671973548	0.9719735477
0	45	1.35439279547495	0.5000000000	1.657700330	0.9577003301
5	45	1.33353769942488	0.5823403326	1.641154309	0.9411543087
10	45	1.31447827854536	0.6626325502	1.622335025	0.9223350255
15	45	1.29710694976139	0.7414652633	1.601160631	0.9011606310
20	45	1.28137061438116	0.8193733856	1.577471165	0.8774711653
25	45	1.26727206565011	0.8968406879	1.551027601	0.8510276014
30	45	1.25487697165333	0.9742989133	1.521509816	0.8215098158
35	45	1.24431985327075	1.052120405	1.488509656	0.7885096561
40	45	1.23581434913303	1.130603444	1.451523919	0.7515239193
45	45	1.22966544600775	1.209947676	1.409947676	0.7099476763


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.89342457959993	1.593169191	-0.3931691907	1.093169191
45	-40	1.82702129242391	1.611048924	-0.2322807420	1.111048924
45	-35	1.76633889078199	1.619306477	-0.08374683280	1.119306477
45	-30	1.71087931787368	1.620033426	0.05334840024	1.120033426
45	-25	1.66009850146751	1.614827419	0.1801474371	1.114827419
45	-20	1.61345942576441	1.604882621	0.2978556137	1.104882621
45	-15	1.57045958609623	1.591071443	0.4076482879	1.091071443
45	-10	1.53064849330181	1.574016011	0.5106219996	1.074016011
45	-5	1.49362914331504	1.554140055	0.6077746954	1.054140055
45	0	1.45906344259681	1.531713654	0.7000000000	1.031713654
45	5	1.42666681846640	1.506880888	0.7880906632	1.006880888
45	10	1.39621030517489	1.479684251	0.8727447660	0.9796842507
45	15	1.36751670828746	1.450077571	0.9545725178	0.9500775707
45	20	1.34046218619129	1.417936547	1.034101580	0.9179365465
45	25	1.31497895050116	1.383064823	1.111779890	0.8830648229
45	30	1.29105899347453	1.345196509	1.187974432	0.8451965092
45	35	1.26876106478728	1.303997741	1.262965279	0.8039977408
45	40	1.24822157644703	1.259069007	1.336934524	0.7590690074
45	45	1.22966548668709	1.209947700	1.409947700	0.7099476998

50	-45	1.90686065857875	1.659600871	-0.4596008710	0.9730206632
50	-40	1.83715929598634	1.683866328	-0.2933817989	0.9933817989
50	-35	1.77272115694211	1.696698178	-0.1379370850	1.004149000
50	-30	1.71329669490092	1.700306429	0.007002760313	1.007176682
50	-25	1.65853470904197	1.696467385	0.1420780958	1.003955341
50	-20	1.60804111548167	1.686572530	0.2681229181	0.9956525726
50	-15	1.56141676341106	1.671686492	0.3860475508	0.9831617029
50	-10	1.51828348230733	1.652605470	0.4967645575	0.9671508248
50	-5	1.47829509527689	1.629904985	0.6011461230	0.9481028559
50	0	1.44115046119833	1.603985302	0.7000000000	0.9263536602
50	5	1.40659222939403	1.575100348	0.7940590926	0.9021163055
50	10	1.37441387311313	1.543386803	0.8839772446	0.8755054814
50	15	1.34445687023683	1.508879878	0.9703285485	0.8465507333
50	20	1.31661542035793	1.471529693	1.053607890	0.8152102069
50	25	1.29083864244789	1.431211343	1.134230981	0.7813790949
50	30	1.26713314445670	1.387731859	1.212532228	0.7448954751
50	35	1.24556788253736	1.340836591	1.288760120	0.7055456738
50	40	1.22628092467867	1.290216014	1.363069965	0.6630699655
50	45	1.20948268440674	1.235511097	1.435511097	0.6171670900

55	-45	1.91845078477295	1.715697849	-0.5156978485	0.8512407977
55	-40	1.84614824569739	1.746266077	-0.3457414053	0.8726449016
55	-35	1.77859776835130	1.763808924	-0.1849285354	0.8849285354
55	-30	1.71577393528858	1.770551943	-0.03355350660	0.8896500485
55	-25	1.65751615387821	1.768375165	0.1085469473	0.8881258516
55	-20	1.60358228537498	1.758819447	0.2418271910	0.8814348660
55	-15	1.55369254301922	1.743118190	0.3669074849	0.8704407276
55	-10	1.50755677665267	1.722234586	0.4844870658	0.8558178704
55	-5	1.46489411893589	1.696901253	0.5952847090	0.8380792796
55	0	1.42545131602381	1.667661360	0.7000000000	0.8176052860
55	5	1.38900486786464	1.634895447	0.7992904859	0.7946623473
55	10	1.35537279681295	1.598853147	0.8937574577	0.7694252572
55	15	1.32441424136546	1.559671324	0.9839380756	0.7419898493
55	20	1.29603516537562	1.517393548	1.070300968	0.7123866313
55	25	1.27019030579657	1.471983190	1.153243205	0.6805899565
55	30	1.24688534049586	1.423334106	1.233087195	0.6465255013
55	35	1.22617992766154	1.371280265	1.310077009	0.6100770094
55	40	1.20819096757039	1.315604825	1.384373708	0.5710926468
55	45	1.19309147551247	1.256046885	1.456046885	0.5293897281

60	-45	1.92825403986154	1.762338585	-0.5623385853	0.7288115220
60	-40	1.85393275109598	1.798833650	-0.3898508365	0.7498819573
60	-35	1.78385010800579	1.820963196	-0.2249483877	0.7626584570
60	-30	1.71817003131732	1.830888783	-0.06838899739	0.7683889974
60	-25	1.65690638389312	1.830526144	0.07956546982	0.7681796272
60	-20	1.59996781245290	1.821516992	0.2190071509	0.7629781910
60	-15	1.54719858044727	1.805232230	0.3502640780	0.7535761793
60	-10	1.49840540510459	1.782787060	0.4738100308	0.7406174545
60	-5	1.45338217971827	1.755068559	0.5901957292	0.7246141702
60	0	1.41192931290532	1.722766653	0.7000000000	0.7059646565
60	5	1.37386148336520	1.686398441	0.8037964140	0.6849674591
60	10	1.33902229170554	1.646338944	0.9021304848	0.6618390977
60	15	1.30728524085309	1.602838932	0.9955048012	0.6367243543
60	20	1.27856120535926	1.556046469	1.084369481	0.6097087129
60	25	1.25280060583238	1.506021810	1.169115674	0.5808269627
60	30	1.22999538414529	1.452750328	1.250070658	0.5500706582
60	35	1.21018234203566	1.396155079	1.327494542	0.5173953761
60	40	1.19344257429651	1.336105503	1.401575819	0.4827257370
60	45	1.17989972221705	1.272425684	1.472425684	0.4459601767

65	-45	1.93635178096508	1.800343357	-0.6003433567	0.6063600655
65	-40	1.86049165919675	1.842159183	-0.4262052753	0.6258591054
65	-35	1.78839217430833	1.868524954	-0.2582514892	0.6381536665
65	-30	1.72036894538495	1.881487742	-0.09760231960	0.6441983136
65	-25	1.65658674483710	1.882946991	0.05512122725	0.6448787728
65	-20	1.59709381885536	1.874601677	0.1996859058	0.6409872887
65	-15	1.54185402699678	1.857927054	0.3361445426	0.6332117843
65	-10	1.49077179151882	1.834169393	0.4647499392	0.6221334053
65	-5	1.44371854521441	1.804359422	0.5858833374	0.6082327874
65	0	1.40055107634664	1.769330347	0.7000000000	0.5918984614
65	5	1.36112310503620	1.729736746	0.8075880244	0.5734356623
65	10	1.32530200761680	1.686081857	0.9091382327	0.5530790532
65	15	1.29297257386934	1.638734541	1.005123001	0.5310006370
65	20	1.26404490806192	1.587950019	1.095981423	0.5073194253
65	25	1.23845785470801	1.533885831	1.182108881	0.4821088808
65	30	1.21618124963936	1.476615797	1.263849393	0.4554034251
65	35	1.19722046139846	1.416144736	1.341491451	0.4272053066
65	40	1.18161421597240	1.352416813	1.415262633	0.3974884878
65	45	1.16943380817821	1.285325011	1.485325011	0.3662030667

70	-45	1.94283120427138	1.830433476	-0.6304334762	0.4842381840
70	-40	1.86582611619141	1.876791921	-0.4552655929	0.5011112779
70	-35	1.79216541426739	1.906858068	-0.2850926243	0.5120544605
70	-30	1.72227977964582	1.922542364	-0.1213052166	0.5177630773
70	-25	1.65645839829987	1.925696139	0.03518697211	0.5189109578
70	-20	1.59487017481173	1.918041322	0.1838751679	0.5161248321
70	-15	1.53758675085985	1.901126979	0.3245691574	0.5099685150
70	-10	1.48460347094170	1.876306139	0.4573200940	0.5009344678
70	-5	1.43586626491027	1.844736127	0.5823508335	0.4894439231
70	0	1.39128583958841	1.807381037	0.7000000000	0.4758477823
70	5	1.35075308372780	1.765024825	0.8106753312	0.4604313818
70	10	1.31415703058843	1.718293251	0.9148179705	0.4434224799
70	15	1.28138924267971	1.667666825	1.012875383	0.4249959677
70	20	1.25235542411809	1.613502383	1.105281723	0.4052817233
70	25	1.22697874707350	1.556047568	1.192443068	0.3843698806
70	30	1.20520345435120	1.495455553	1.274726532	0.3623161909
70	35	1.18700053301024	1.431800861	1.352453987	0.3391477777
70	40	1.17236633654109	1.365088384	1.425895344	0.3148664219
70	45	1.16132288204707	1.295263549	1.495263549	0.2894522603

75	-45	1.94777488029758	1.853209957	-0.6532099574	0.3625915153
75	-40	1.86994947876567	1.903209313	-0.4774324172	0.3759888023
75	-35	1.79512896112843	1.936292834	-0.3057030691	0.3848535048
75	-30	1.72383070428787	1.954240860	-0.1396063520	0.3896626640
75	-25	1.65643894639733	1.958843197	0.01973024522	0.3908958565
75	-20	1.59321938356511	1.951822254	0.1715799141	0.3890146005
75	-15	1.53433354523460	1.934775439	0.3155530799	0.3844469201
75	-10	1.47985503213944	1.909137826	0.4515309817	0.3775773426
75	-5	1.42979357007607	1.876169302	0.5796007870	0.3687434532
75	0	1.38410784926626	1.836945518	0.7000000000	0.3582334719
75	5	1.34272100447226	1.792362385	0.8130670578	0.3462874573
75	10	1.30554000948785	1.743152722	0.9192013660	0.3331017679
75	15	1.27246094700863	1.689894935	1.018831387	0.3188313868
75	20	1.24338237952228	1.633033045	1.112390303	0.3035952893
75	25	1.21821108184046	1.572891309	1.200297434	0.2874803598
75	30	1.19686649228861	1.509688569	1.282943967	0.2705452367
75	35	1.17928745260896	1.443554560	1.360684016	0.2528246823
75	40	1.16543317157286	1.374540569	1.433826668	0.2343324391
75	45	1.15528393531377	1.302629575	1.502629575	0.2150639465

80	-45	1.95125303424593	1.869143216	-0.6691432155	0.2414168893
80	-40	1.87287758741955	1.921795717	-0.4930282616	0.2507009459
80	-35	1.79725920042962	1.957107545	-0.3202776873	0.2569273740
80	-30	1.72497210387561	1.976751143	-0.1526026697	0.2603910702
80	-25	1.65646800281701	1.982459571	0.008717749325	0.2613976201
80	-20	1.59208298240809	1.975945345	0.1627998269	0.2602489864
80	-15	1.53204580953365	1.958834585	0.3091064510	0.2572318977
80	-10	1.47648987291515	1.932619705	0.4473904929	0.2526095071
80	-5	1.42547494511110	1.898637012	0.5776351170	0.2466174415
80	0	1.37899636467959	1.858046311	0.7000000000	0.2394602057
80	5	1.33700215174178	1.811829928	0.8147702472	0.2313110104
80	10	1.29941285884687	1.760804087	0.9223137779	0.2223137779
80	15	1.26612729518732	1.705623406	1.023045818	0.2125839351
80	20	1.23703685907599	1.646798762	1.117400614	0.2022115633
80	25	1.21203430018662	1.584712681	1.205809830	0.1912641120
80	30	1.19101852878037	1.519632706	1.288685217	0.1797887564
80	35	1.17390276220681	1.451728372	1.366407380	0.1678153902
80	40	1.16061706636694	1.381082877	1.439316317	0.1553586835
80	45	1.15111039356015	1.307704054	1.507704054	0.1424200171

85	-45	1.95331846833361	1.878569270	-0.6785692699	0.1206091830
85	-40	1.87462685443330	1.932833156	-0.5022897729	0.1253566579
85	-35	1.79854195803124	1.969510386	-0.3289622499	0.1285654997
85	-30	1.72566985886787	1.990202655	-0.1603689038	0.1303758386
85	-25	1.65650235921571	1.996603661	0.002122251852	0.1309358541
85	-20	1.59141821791862	1.990415662	0.1575330622	0.1303944744
85	-15	1.53068768957933	1.973279398	0.3052359752	0.1288952455
85	-10	1.47448153968068	1.946720942	0.4449040644	0.1265716817
85	-5	1.42289105037962	1.912123335	0.5764552167	0.1235447833
85	0	1.37593606958821	1.870700217	0.7000000000	0.1199207301
85	5	1.33357878758275	1.823486942	0.8157901038	0.1157901038
85	10	1.29574846729636	1.771352942	0.9241738256	0.1112289697
85	15	1.26234533545277	1.715001197	1.025558590	0.1062988309
85	20	1.23325593588133	1.654984869	1.120380113	0.1010480826
85	25	1.20836324839558	1.591722478	1.209078552	0.09551334056
85	30	1.18755280161979	1.525511530	1.292079358	0.08972063320
85	35	1.17072149545705	1.456545600	1.369780440	0.08368689618
85	40	1.15778096674408	1.384926487	1.442541489	0.07742103567
85	45	1.14866082421211	1.310676057	1.510676057	0.07092496477

90	-45	1.95400270042691	1.881688560	-0.6816885599	0.000000000
90	-40	1.87520807800613	1.936492728	-0.5053605181	0.000000000
90	-35	1.79896967336683	1.973629686	-0.3318466144	0.000000000
90	-30	1.72590400168704	1.994676710	-0.1629520008	0.000000000
90	-25	1.65651607723577	2.001313420	-7.394510690e-05	0.000000000
90	-20	1.59119893855404	1.995237901	0.1557779110	0.000000000
90	-15	1.53023685852662	1.978095302	0.3039455575	0.000000000
90	-10	1.47381333056509	1.951422794	0.4440750009	0.000000000
90	-5	1.42203047569750	1.916619220	0.5760618777	0.000000000
90	0	1.37491645659618	1.874916457	0.7000000000	0.000000000
90	5	1.33243835518586	1.827368025	0.8161296545	0.000000000
90	10	1.29452834489269	1.774861551	0.9247924880	0.000000000
90	15	1.26108708528481	1.718116585	1.026393355	0.000000000
90	20	1.23199940309382	1.657700748	1.121368612	0.000000000
90	25	1.20714484416160	1.594044772	1.210161456	0.000000000
90	30	1.18640427742762	1.527456243	1.293202139	0.000000000
90	35	1.16966895016614	1.458136712	1.370894548	0.000000000
90	40	1.15684420127572	1.386194072	1.443605119	0.000000000
90	45	1.14785310084190	1.311654711	1.511654711	0.000000000


### +y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	1.22966552194787	1.209947720	1.409947720	0.7099477201
40	45	1.23581440836231	1.130603474	1.451523955	0.7515239553
35	45	1.24431989398297	1.052120423	1.488509682	0.7885096819
30	45	1.25487700546982	0.9742989261	1.521509838	0.8215098379
25	45	1.26727208356531	0.8968406935	1.551027613	0.8510276135
20	45	1.28137063725782	0.8193733913	1.577471181	0.8774711810
15	45	1.29710696265768	0.7414652657	1.601160640	0.9011606400
10	45	1.31447828795712	0.6626325514	1.622335032	0.9223350321
5	45	1.33353770609959	0.5823403330	1.641154313	0.9411543134
0	45	1.35439280521000	0.5000000000	1.657700337	0.9577003370
-5	45	1.37720602409918	0.4149633324	1.671973559	0.9719735588
-10	45	1.40219483319607	0.3265148041	1.683883437	0.9838834375
-15	45	1.42963673590776	0.2338634174	1.693235248	0.9932352481
-20	45	1.45987334676777	0.1361359562	1.699708244	0.9997082440
-25	45	1.49331478361350	0.03237502666	1.702824992	1.002824992
-30	45	1.53044370521839	-0.07845334851	1.701910589	1.001910589
-35	45	1.57181361136629	-0.1974335141	1.696038283	0.9960382830
-40	45	1.61804185475631	-0.3256440509	1.683964264	0.9839642638
-45	45	1.66978100528885	-0.4640485129	1.664048513	0.9640485129

45	50	1.20948274000485	1.235511131	1.435511131	0.6171671184
40	50	1.21341874259672	1.156115175	1.481927617	0.6561151752
35	50	1.22012283980698	1.076732653	1.523659589	0.6911324571
30	50	1.22931021449991	0.9972335427	1.561233759	0.7226609297
25	50	1.24077174062638	0.9173887519	1.595093067	0.7510722624
20	50	1.25436949989648	0.8368902909	1.625598467	0.7766693324
15	50	1.27002964500512	0.7553635435	1.653029719	0.7996868855
10	50	1.28773970216799	0.6723751534	1.677588074	0.8202937920
5	50	1.30754379734564	0.5874357049	1.699394680	0.8385917077
0	50	1.32954088023323	0.5000000000	1.718487403	0.8546124044
-5	50	1.35388487794710	0.4094654581	1.734814549	0.8683125064
-10	50	1.38078361180472	0.3151701105	1.748222392	0.8795630227
-15	50	1.41050188832334	0.2163918482	1.758440032	0.8881366404
-20	50	1.44336156341891	0.1123514666	1.765055592	0.8936877546
-25	50	1.47974110984769	0.002223273793	1.767485634	0.8957268020
-30	50	1.52007334810722	-0.1148419229	1.764937449	0.8935886207
-35	50	1.56483434317106	-0.2396722958	1.756361515	0.8863925576
-40	50	1.61452592111640	-0.3730003258	1.740401275	0.8730003258
-45	50	1.66963954832778	-0.5153418740	1.715341874	0.8519729920

45	55	1.19309150026625	1.256046901	1.456046901	0.5293897391
40	55	1.19496432873356	1.176881545	1.506676013	0.5648406250
35	55	1.19992058764073	1.097011864	1.552621303	0.5970118635
30	55	1.20771436518859	1.016340230	1.594327512	0.6262148652
25	55	1.21816035679163	0.9346773092	1.632168498	0.6527114090
20	55	1.23113409838369	0.8517575451	1.666445912	0.6767127131
15	55	1.24656794582282	0.7672487901	1.697386063	0.6983772398
10	55	1.26445040926179	0.6807596384	1.725138851	0.7178099514
5	55	1.28482327408980	0.5918432542	1.749773200	0.7350591077
0	55	1.30777988279094	0.5000000000	1.771270564	0.7501117247
-5	55	1.33346605346801	0.4046796052	1.789517098	0.7628880852
-10	55	1.36207663255732	0.3052841948	1.804288206	0.7732309264
-15	55	1.39385700829438	0.2011742518	1.815232875	0.7808944658
-20	55	1.42909932454551	0.09168016643	1.821849523	0.7855274925
-25	55	1.46813816073013	-0.02387712479	1.823458120	0.7866538442
-30	55	1.51134216153100	-0.1461517566	1.819167672	0.7836496404
-35	55	1.55909780930764	-0.2757179085	1.807839985	0.7757179085
-40	55	1.61178361253153	-0.4129867355	1.788055222	0.7618644684
-45	55	1.66973450332864	-0.5580895061	1.758089506	0.7408822483

45	60	1.17989973837272	1.272425695	1.472425695	0.4459601828
40	60	1.17992655194587	1.193630305	1.526636408	0.4772587527
35	60	1.18326880792367	1.113539541	1.576225272	0.5058888968
30	60	1.18972929564320	1.032063116	1.621560350	0.5320631160
25	60	1.19915839866810	0.9490291575	1.662946136	0.5559572108
20	60	1.21145682623068	0.8641961206	1.700620618	0.5777085830
15	60	1.22657384180930	0.7772604233	1.734749987	0.5974131835
10	60	1.24450718892598	0.6878630722	1.765424426	0.6151230790
5	60	1.26530294535890	0.5955947233	1.792652687	0.6308433229
0	60	1.28905289967710	0.5000000000	1.816352558	0.6445264498
-5	60	1.31589558083636	0.4005829597	1.836341970	0.6560673425
-10	60	1.34601096376876	0.2968145487	1.852321956	0.6652933915
-15	60	1.37962041989788	0.1881442204	1.863861614	0.6719558162
-20	60	1.41697962031175	0.07401826497	1.870375198	0.6757164357
-25	60	1.45837149297167	-0.04609242916	1.871098994	0.6761343192
-30	60	1.50409289460761	-0.1726507914	1.865065346	0.6726507914
-35	60	1.55443643252822	-0.3059945539	1.851079516	0.6645760682
-40	60	1.60966081542839	-0.4462534092	1.827700900	0.6510784181
-45	60	1.66995796158558	-0.5932441095	1.793244109	0.6311847809

45	65	1.16943381862688	1.285325018	1.485325018	0.3662030700
40	65	1.16787124525093	1.206943646	1.542502630	0.3928654284
35	65	1.16978904650051	1.126793224	1.595153493	0.4174169289
30	65	1.17504011781230	1.044775425	1.643578715	0.4399979809
25	65	1.18351557251987	0.9607208601	1.688019073	0.4607208601
20	65	1.19514763486282	0.8743982973	1.728650868	0.4796677772
15	65	1.20990871855337	0.7855211210	1.765579330	0.4968878020
10	65	1.22781230801996	0.6937539480	1.798833243	0.5123943561
5	65	1.24891385729630	0.5987186053	1.828358822	0.5261623598
0	65	1.27330675037222	0.5000000000	1.854007823	0.5381226855
-5	65	1.30112345510038	0.3971545619	1.875528737	0.5481580523
-10	65	1.33252839671229	0.2897214126	1.892549129	0.5560947918
-15	65	1.36771706835310	0.1772383697	1.904562803	0.5616968598
-20	65	1.40690510698290	0.05926543203	1.910908273	0.5646558012
-25	65	1.45032119001131	-0.06458338329	1.910752973	0.5645833833
-30	65	1.49818928509907	-0.1945947567	1.903073409	0.5610023440
-35	65	1.55071091692815	-0.3308977566	1.886644975	0.5533416393
-40	65	1.60803677192420	-0.4733875916	1.860038159	0.5409346774
-45	65	1.67023419710695	-0.6216339736	1.821633974	0.5230265115

45	70	1.16132288996802	1.295263555	1.495263555	0.2894522623
40	70	1.15844912500969	1.217278209	1.554818883	0.3111286290
35	70	1.15916859993921	1.137155716	1.609952666	0.3311956851
30	70	1.16338051032386	1.054782384	1.660911276	0.3497431023
25	70	1.17101594304785	0.9699826181	1.707880977	0.3668386753
20	70	1.18203957379679	0.8825264189	1.750982698	0.3825264189
15	70	1.19644981412371	0.7921358171	1.790265712	0.3968242667
10	70	1.21427908942767	0.6984914767	1.825701103	0.4097216943
5	70	1.23559474108873	0.6012397150	1.857175238	0.4211773423
0	70	1.26049398004219	0.5000000000	1.884476892	0.4311143317
-5	70	1.28910458255668	0.3943759016	1.907288969	0.4394172490
-10	70	1.32157557306797	0.2839693614	1.925170633	0.4459256423
-15	70	1.35807687371325	0.1683998839	1.937548481	0.4504308105
-20	70	1.39878644751087	0.04733091652	1.943698085	0.4526690835
-25	70	1.44388017946959	-0.07949560037	1.942732325	0.4523175756
-30	70	1.49351391868956	-0.2122134202	1.933589830	0.4489899793
-35	70	1.54780771420743	-0.3507774734	1.915036153	0.4422369932
-40	70	1.60681828464476	-0.4948954311	1.885670204	0.4315486620
-45	70	1.67051163112356	-0.6439514620	1.843951462	0.4163642816

45	75	1.15528393927628	1.302629578	1.502629578	0.2150639472
40	75	1.15138718116345	1.224982470	1.564000463	0.2315082264
35	75	1.15115781071541	1.144924665	1.621047874	0.2467940341
30	75	1.15453367408515	1.062325409	1.673976179	0.2609761307
25	75	1.16148072520271	0.9769992941	1.722928287	0.2740928085
20	75	1.17199303364664	0.8887127322	1.767979454	0.2861642323
15	75	1.18609371824260	0.7971909715	1.809131805	0.2971909715
10	75	1.20383372698309	0.7021247878	1.846306634	0.3071519370
5	75	1.22529316463631	0.6031787636	1.879338664	0.3160028427
0	75	1.25057371295901	0.5000000000	1.907961447	0.3236722942
-5	75	1.27979875073602	0.3922314622	1.931800024	0.3300598216
-10	75	1.31310574299017	0.2795283404	1.950356915	0.3350321256
-15	75	1.35064165722196	0.1615794350	1.963002743	0.3384205650
-20	75	1.39255041214640	0.03813541559	1.968962517	0.3400174815
-25	75	1.43896177291124	-0.09095578169	1.967308764	0.3395743598
-30	75	1.48997332847926	-0.2257041354	1.956956434	0.3368004614
-35	75	1.54563719882492	-0.3659278014	1.936673064	0.3313655487
-40	75	1.60593521711247	-0.5111931932	1.905093121	0.3229037285
-45	75	1.67075574809285	-0.6607518597	1.860751860	0.3110225234

45	80	1.15111039587713	1.307704055	1.507704055	0.1424200174
40	80	1.14648258389643	1.230312613	1.570352680	0.1534666602
35	80	1.14556774072297	1.150322004	1.628756074	0.1637647543
30	80	1.14833256023082	1.067586806	1.683089185	0.1733451478
25	80	1.15476977361006	0.9819120241	1.733463671	0.1822275287
20	80	1.16489671202308	0.8930591070	1.779921021	0.1904192130
15	80	1.17875665481737	0.8007536519	1.822427910	0.1979143244
10	80	1.19641625457118	0.7046923083	1.860867767	0.2046923083
5	80	1.21796600765329	0.6045520081	1.895034921	0.2107168994
0	80	1.24351154693436	0.5000000000	1.924619812	0.2159335140
-5	80	1.27317432052383	0.3907088285	1.949203807	0.2202683355
-10	80	1.30708238407673	0.2763740593	1.968245732	0.2236259407
-15	80	1.34536477438434	0.1567371497	1.981074398	0.2258879806
-20	80	1.38813854359710	0.03161469968	1.986878036	0.2269113187
-25	80	1.43549762542279	-0.09906622262	1.984701660	0.2265275649
-30	80	1.48749519784129	-0.2352248619	1.973446816	0.2245430321
-35	80	1.54413252605125	-0.3765813869	1.951887960	0.2207416242
-40	80	1.60533715751538	-0.5226042594	1.918692300	0.2148883337
-45	80	1.67094338631145	-0.6724572676	1.872457268	0.2067358500

45	85	1.14866082524290	1.310676058	1.510676058	0.07092496483
40	85	1.14359472359389	1.233443158	1.574083519	0.07647239886
35	85	1.14226602724496	1.153500807	1.633295875	0.08165280880
30	85	1.14465916275270	1.070693835	1.688470717	0.08647998198
25	85	1.15078362684837	0.9848204904	1.739700897	0.09096204193
20	85	1.16067160353980	0.8956382826	1.787007248	0.09510081134
15	85	1.17437946028969	0.8028722094	1.830334474	0.09889145243
10	85	1.19198416990739	0.7062218542	1.869542252	0.1023216886
5	85	1.21358337270188	0.6053713106	1.904399592	0.1053713106
0	85	1.23928462664543	0.5000000000	1.934568774	0.1080107721
-5	85	1.26920945351961	0.3897988663	1.959604723	0.1102011337
-10	85	1.30347973133232	0.2744886099	1.978938647	0.1118926329
-15	85	1.34221299496139	0.1538435583	1.991873428	0.1130242797
-20	85	1.38550912057212	0.02772132336	1.997575000	0.1135231026
-25	85	1.43343930305958	-0.1039021842	1.995072413	0.1133041546
-30	85	1.48602919085581	-0.2408910223	1.983260894	0.1122707805
-35	85	1.54324840871926	-0.3829064831	1.960921134	0.1103163048
-40	85	1.60499175091395	-0.5293596100	1.926743013	0.1073261067
-45	85	1.67106156592315	-0.6793643280	1.879364328	0.1031810089

45	90	1.14785310149115	1.311654712	1.511654712	0.000000000
40	90	1.14264093700992	1.234475437	1.575313740	0.000000000
35	90	1.14117382619712	1.154550416	1.634794873	0.000000000
30	90	1.14344217737734	1.071721089	1.690249973	0.000000000
25	90	1.14946118897039	0.9857832896	1.741765626	0.000000000
20	90	1.15926814722191	0.8964930579	1.789355723	0.000000000
15	90	1.17292395776952	0.8035750587	1.832957543	0.000000000
10	90	1.19050923244117	0.7067297587	1.872422722	0.000000000
5	90	1.21212400561288	0.6056435680	1.907511508	0.000000000
0	90	1.23787672824357	0.5000000000	1.937876728	0.000000000
-5	90	1.26788881829871	0.3894962083	1.963064119	0.000000000
-10	90	1.30228009742768	0.2738614343	1.982495537	0.000000000
-15	90	1.34116415024845	0.1528811753	1.995465090	0.000000000
-20	90	1.38463494846578	0.02642695647	2.001131244	0.000000000
-25	90	1.43275590910317	-0.1055088118	1.998517837	0.000000000
-30	90	1.48554331671695	-0.2427716584	1.986518251	0.000000000
-35	90	1.54295610629960	-0.3850032649	1.963915649	0.000000000
-40	90	1.60487812258669	-0.5315957723	1.929407968	0.000000000
-45	90	1.67110116342849	-0.6816469647	1.881646965	0.000000000


### -x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = 180 - dsigma = 180 - dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-90	45	1.67110115678977	-0.6816469600	1.881646960	1.447100167e-16
-90	40	1.74131422993122	-0.8339240896	1.819295212	1.633585867e-16
-90	35	1.81510495392495	-0.9868469336	1.741101431	1.820862338e-16
-90	30	1.89194373466920	-1.138471337	1.645971867	2.006548678e-16
-90	25	1.97119215815729	-1.286506803	1.533061803	2.187839838e-16
-90	20	2.05210719987822	-1.428349993	1.401861999	2.361547646e-16
-90	15	2.13385747347031	-1.561148043	1.252282954	2.524178354e-16
-90	10	2.21554383180844	-1.681884743	1.084725149	2.672038166e-16
-90	5	2.29621623428007	-1.787478438	0.9001284314	2.801353148e-16
-90	-2.84217e-14	2.37489786377593	-1.874897864	0.7000000000	2.908411067e-16
-90	-5	2.45060807158239	-1.941282768	0.4864154333	2.989709128e-16
-90	-10	2.52237364981299	-1.984053126	0.2619944123	3.042087710e-16
-90	-15	2.58926797644093	-2.001040810	0.02984813482	3.062891622e-16
-90	-20	2.65041670347463	-1.990577018	-0.2064959008	3.050077173e-16
-90	-25	2.70501405441005	-1.951575302	-0.4431883377	3.002313846e-16
-90	-30	2.75233683327247	-1.883593617	-0.6761684166	2.919060294e-16
-90	-35	2.79174786091088	-1.786865967	-0.9012807893	2.800603087e-16
-90	-40	2.82272640394578	-1.662333876	-1.114413558	2.648095260e-16
-90	-45	2.84486211600513	-1.511621294	-1.311621294	2.463525579e-16

-85	45	1.67106155586238	-0.6793643209	1.879364321	0.1031810082
-85	40	1.74109039490255	-0.8307672617	1.816646318	0.1164270492
-85	35	1.81462709539291	-0.9826528522	1.738164704	0.1297153165
-85	30	1.89114163225644	-1.133095848	1.642868327	0.1428773731
-85	25	1.97000130099798	-1.279841207	1.529953585	0.1557159285
-85	20	2.05047404999132	-1.420336594	1.398945360	0.1680076821
-85	15	2.13174617435950	-1.551795243	1.249776878	0.1795088236
-85	10	2.21294109866264	-1.671277255	1.082854763	0.1899621452
-85	5	2.29313316543973	-1.775779901	0.8991049420	0.1991049420
-85	-2.84217e-14	2.37137197835666	-1.862348192	0.7000000000	0.2066786861
-85	-5	2.44670388909271	-1.928188480	0.4875610351	0.2124389649
-85	-10	2.51817964632364	-1.970768967	0.2643367681	0.2161642748
-85	-15	2.58489015924544	-1.987944107	0.03335738576	0.2176669048
-85	-20	2.64597398052941	-1.978041924	-0.2019334997	0.2168005761
-85	-25	2.70063077024375	-1.939944546	-0.4377648272	0.2134674874
-85	-30	2.74813433620176	-1.873152119	-0.6701400150	0.2076239073
-85	-35	2.78783913720033	-1.777822071	-0.8949481847	0.1992836087
-85	-40	2.81920486828568	-1.654802274	-1.108093794	0.1885207711
-85	-45	2.84179819247980	-1.505620549	-1.305620549	0.1754690614

-80	45	1.67094336232065	-0.6724572507	1.872457251	0.2067358470
-80	40	1.74041819176750	-0.8212391173	1.808651256	0.2329701044
-80	35	1.81319381414810	-0.9700263530	1.729323534	0.2592053084
-80	30	1.88874030821736	-1.116953342	1.633548447	0.2851125007
-80	25	1.96644247094165	-1.259871882	1.520641736	0.3103128953
-80	20	2.04560162247055	-1.396381172	1.390226300	0.3343831664
-80	15	2.12545601813677	-1.523887751	1.242299089	0.3568660165
-80	10	2.20519413615432	-1.639672361	1.077281967	0.3772819671
-80	5	2.28396159059499	-1.740960619	0.8960586496	0.3951418198
-80	-2.84217e-14	2.36088676083449	-1.825019586	0.7000000000	0.4099636837
-80	-5	2.43509014334822	-1.889243820	0.4909682514	0.4212881489
-80	-10	2.50569644135732	-1.931245999	0.2713057336	0.4286942664
-80	-15	2.57184678820446	-1.948947035	0.04380661976	0.4318154365
-80	-20	2.63271874742530	-1.940669879	-0.1883311877	0.4303559507
-80	-25	2.68752994851374	-1.905210657	-0.4215681489	0.4241035331
-80	-30	2.73554859540118	-1.841907156	-0.6521007269	0.4129414179
-80	-35	2.77610540628939	-1.750696023	-0.8759543214	0.3968584342
-80	-40	2.80860730147499	-1.632155277	-1.089090707	0.3759565024
-80	-45	2.83255371076969	-1.487528848	-1.287528848	0.3504549609

-75	45	1.67075569137288	-0.6607518203	1.860751820	0.3110225129
-75	40	1.73930267566168	-0.8051720064	1.795169349	0.3497197851
-75	35	1.81081211037337	-0.9488410099	1.714489397	0.3882157786
-75	30	1.88475892987204	-1.090001524	1.617987808	0.4260396243
-75	25	1.96055959287434	-1.226685448	1.505166648	0.4626639714
-75	20	2.03757247131878	-1.356739310	1.375797841	0.4975117986
-75	15	2.11511838130185	-1.477874963	1.229969999	0.5299699989
-75	10	2.19248522848089	-1.587713865	1.068120282	0.5594012442
-75	5	2.26893448032082	-1.683838315	0.8910610955	0.5851577128
-75	-2.84217e-14	2.34371533520482	-1.763855172	0.7000000000	0.6065981650
-75	-5	2.41606507667243	-1.825450792	0.4965494181	0.6231026619
-75	-10	2.48521706684873	-1.866457051	0.2827297732	0.6340902558
-75	-15	2.55040448887711	-1.884916716	0.06096349206	0.6390365079
-75	-20	2.61086770031113	-1.879154979	-0.1659415952	0.6374926554
-75	-25	2.66585863112102	-1.847849727	-0.3948203079	0.6291044383
-75	-30	2.71464652770406	-1.790103020	-0.6221915948	0.6136312547
-75	-35	2.75652714682877	-1.705512959	-0.8443167994	0.5909654162
-75	-40	2.79083686816864	-1.594242828	-1.057278385	0.5611506746
-75	-45	2.81697280612612	-1.457082253	-1.257082253	0.5243986092

-70	45	1.67051152690379	-0.6439513906	1.843951391	0.4163642556
-70	40	1.73775122181396	-0.7822855365	1.775965321	0.4667137671
-70	35	1.80749531707519	-0.9188921119	1.693518953	0.5164344943
-70	30	1.87923438597936	-1.052181334	1.596152311	0.5649478036
-70	25	1.95243119799724	-1.180436782	1.483600541	0.6116289693
-70	20	2.02652590728860	-1.301837868	1.355815351	0.6558153510
-70	15	2.10094766450134	-1.414489998	1.212986049	0.6968173730
-70	10	2.17511132820968	-1.516443537	1.055553401	0.7339254265
-70	5	2.24842821792225	-1.605727202	0.8842272587	0.7664220231
-70	-2.84217e-14	2.32029587214454	-1.680364909	0.7000000000	0.7935879267
-70	-5	2.39010330022009	-1.738410591	0.5041644490	0.8147148271
-70	-10	2.45722242018190	-1.777975478	0.2983314618	0.8291152685
-70	-15	2.52100570658101	-1.797268176	0.08444884740	0.8361372363
-70	-20	2.58078536670677	-1.794644636	-0.1351823459	0.8351823459
-70	-25	2.63587028122821	-1.768665538	-0.3578961141	0.8257267273
-70	-30	2.68554656877342	-1.718166763	-0.5806591777	0.8073466763
-70	-35	2.72908217690551	-1.642342023	-0.8000840336	0.7797487278
-70	-40	2.76574224806630	-1.540839470	-1.012467646	0.7428048200
-70	-45	2.79480036985064	-1.413854360	-1.213854360	0.6965860198

-65	45	1.67023401295175	-0.6216338499	1.821633850	0.5230264539
-65	40	1.73577840968239	-0.7521910111	1.750713016	0.5839062580
-65	35	1.80326685562393	-0.8799074535	1.666221601	0.6434614131
-65	30	1.87222103791102	-1.003427751	1.568004417	0.7010598736
-65	25	1.94217051101257	-1.121357211	1.456051284	0.7560512841
-65	20	2.01265732881176	-1.232272773	1.330495727	0.8077720601
-65	15	2.08323595441899	-1.334727810	1.191613835	0.8555476282
-65	10	2.15347320162200	-1.427255433	1.039827132	0.8986939676
-65	5	2.22294070530267	-1.508364901	0.8757091611	0.9365159337
-65	-2.84217e-14	2.29120983767555	-1.576541318	0.7000000000	0.9683071189
-65	-5	2.35783438418676	-1.630237576	0.5136283615	0.9933460954
-65	-10	2.42234562519997	-1.667883382	0.3177436688	1.010900623
-65	-15	2.48423934498891	-1.687895712	0.1137551108	1.020232526
-65	-20	2.54296586648992	-1.688703696	-0.09662299680	1.020609295
-65	-25	2.59791909652761	-1.668787363	-0.3113221562	1.011322156
-65	-30	2.64843077153254	-1.626738369	-0.5278729701	0.9917143886
-65	-35	2.69376737586583	-1.561341985	-0.7433671968	0.9612195538
-65	-40	2.73313501663304	-1.471684335	-0.9544395986	0.9194115050
-65	-45	2.76569260450310	-1.357281327	-1.157281327	0.8660645060

-60	45	1.66995765054740	-0.5932439059	1.793243906	0.6311846633
-60	40	1.73340906054245	-0.7143968088	1.718999914	0.7011323245
-60	35	1.79816437737920	-0.8315630908	1.632370514	0.7687783089
-60	30	1.86379775829469	-0.9436915357	1.533515697	0.8335156968
-60	25	1.92992490749341	-1.049765014	1.422667294	0.8947572479
-60	20	1.99620760941483	-1.148797091	1.300113064	0.9519334445
-60	15	2.06234199507259	-1.239812378	1.166181322	1.004481145
-60	10	2.12805013867322	-1.321826838	1.021237226	1.051832215
-60	5	2.19307181502653	-1.393827735	0.8656884575	1.093401953
-60	-2.84217e-14	2.25714878525229	-1.454748188	0.7000000000	1.128574393
-60	-5	2.32000922408351	-1.503444568	0.5247213123	1.156689261
-60	-10	2.38135280132969	-1.538679618	0.3405257783	1.177032226
-60	-15	2.44083074734808	-1.559109283	0.1482633305	1.188827299
-60	-20	2.49803384876666	-1.563287869	-0.05097536889	1.191239806
-60	-25	2.55247356379761	-1.549682976	-0.2557828685	1.183385018
-60	-30	2.60356549857454	-1.516713163	-0.4643498877	1.164349888
-60	-35	2.65061630535929	-1.462814348	-0.6743774026	1.133231392
-60	-40	2.69281478896703	-1.386540091	-0.8829950944	1.089194429
-60	-45	2.72923357046083	-1.286702775	-1.086702775	1.031553328

-55	45	1.66973406183253	-0.5580892263	1.758089226	0.7408820524
-55	40	1.73068456090063	-0.6683208338	1.680337581	0.8180670549
-55	35	1.79224541880843	-0.7735064636	1.591718826	0.8917188258
-55	30	1.85406841041765	-0.8729607227	1.492679243	0.9613574477
-55	25	1.91587904575193	-0.9660812774	1.383644927	1.026561162
-55	20	1.97746750841241	-1.052321061	1.264998660	1.086946909
-55	15	2.03867607250116	-1.131156255	1.137067001	1.142147905
-55	10	2.09938249018213	-1.202050581	1.000117440	1.191788648
-55	5	2.15948237099841	-1.264419095	0.8543666685	1.235459551
-55	-2.84217e-14	2.21887928143972	-1.317599499	0.7000000000	1.272696871
-55	-5	2.27746745292725	-1.360819572	0.5371993826	1.302959892
-55	-10	2.33510755063238	-1.393162005	0.3661844597	1.325606307
-55	-15	2.39161340730875	-1.413543412	0.1872675880	1.339877522
-55	-20	2.44673234202612	-1.420696108	0.0009237877829	1.344885893
-55	-25	2.50012139468412	-1.413158963	-0.1921206756	1.339608328
-55	-30	2.55132221195662	-1.389285837	-0.3907796864	1.322892185
-55	-35	2.59973573516980	-1.347280639	-0.5934798286	1.293479829
-55	-40	2.64459892582194	-1.285270460	-0.7980197845	1.250059834
-55	-45	2.68496063510040	-1.201425386	-1.001425386	1.191350881

-50	45	1.66963902524028	-0.5153415559	1.715341556	0.8519727251
-50	40	1.72766972139889	-0.6133111936	1.634179012	0.9341790119
-50	35	1.78559531749516	-0.7053890451	1.544022496	1.011441503
-50	30	1.84317181771695	-0.7912947235	1.445529356	1.083524926
-50	25	1.90025335960256	-0.8708432842	1.339234722	1.150274094
-50	20	1.95676629211987	-0.9438966195	1.225535391	1.211573121
-50	15	2.01269051208690	-1.010322125	1.104689594	1.267310738
-50	10	2.06804583532306	-1.069957765	0.9768259125	1.317350981
-50	5	2.12286880130767	-1.122571872	0.8419566446	1.361499460
-50	-2.84217e-14	2.17720361829269	-1.167834733	0.7000000000	1.399479510
-50	-5	2.23108635360416	-1.205285772	0.5508068269	1.430904662
-50	-10	2.28452693084828	-1.234299469	0.3941962110	1.455250045
-50	-15	2.33749500018196	-1.254055279	0.2300023046	1.471827137
-50	-20	2.38989933123356	-1.263505217	0.05813659292	1.479756577
-50	-25	2.44156263506685	-1.261343941	-0.1213281683	1.477943051
-50	-30	2.49219162073699	-1.245986923	-0.3080460197	1.465056983
-50	-35	2.54134082480001	-1.215564753	-0.5012513724	1.439529752
-50	-40	2.58837137094478	-1.167947748	-0.6995743398	1.399574340
-50	-45	2.63240594411680	-1.100819762	-0.9008197620	1.343247272

-45	45	1.66978057098951	-0.4640482621	1.664048262	0.9640482621
-45	40	1.72446137425925	-0.5486801449	1.579947123	1.048680145
-45	35	1.77833109521180	-0.6269057844	1.489067925	1.126905784
-45	30	1.83128325861184	-0.6988563074	1.392160012	1.198856307
-45	25	1.88330702071827	-0.7647215228	1.289749331	1.264721523
-45	20	1.93446364499914	-0.8247034463	1.182152624	1.324703446
-45	15	1.98485993740766	-0.8789746743	1.069495150	1.378974674
-45	10	2.03463267930485	-0.9276485315	0.9517329551	1.427648532
-45	5	2.08393458480846	-0.9707525811	0.8286741777	1.470752581
-45	-2.84217e-14	2.13292296546206	-1.008204293	0.7000000000	1.508204293
-45	-5	2.18174951230083	-1.039786205	0.5652861628	1.539786205
-45	-10	2.23054891130679	-1.065117827	0.4240274991	1.565117827
-45	-15	2.27942804419718	-1.083624862	0.2756689970	1.583624862
-45	-20	2.32844869299915	-1.094500892	0.1196491367	1.594500892
-45	-25	2.37760534957283	-1.096664073	-0.04453668470	1.596664073
-45	-30	2.42679675171473	-1.088711402	-0.2172429554	1.588711402
-45	-35	2.47578409969093	-1.068872878	-0.3985366155	1.568872878
-45	-40	2.52413658161510	-1.034978954	-0.5880002740	1.534978954
-45	-45	2.57116221787605	-0.9844611986	-0.7844611986	1.484461199


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.84486213185917	-1.511621305	-1.311621305	2.463525592e-16
-40	-90	2.85785630048564	-1.336994620	-1.489244938	2.681051806e-16
-35	-90	2.86153350456571	-1.141308190	-1.644031020	2.870610086e-16
-30	-90	2.85584294895947	-0.9279214745	-1.773232543	3.028836317e-16
-25	-90	2.84086540296942	-0.7006015984	-1.874698437	3.153096199e-16
-20	-90	2.81680814324519	-0.4634051249	-1.946933826	3.241559038e-16
-15	-90	2.78398325391865	-0.2205478874	-1.989121325	3.293223823e-16
-10	-90	2.74283392933027	0.02371188653	-2.001164119	3.307971992e-16
-5	-90	2.69390827323223	0.2652104236	-1.983657139	3.286532125e-16
-2.84217e-14	-90	2.63785224450883	0.5000000000	-1.937852245	3.230437308e-16
5	-90	2.57540391597515	0.7244612412	-1.865603727	3.141958392e-16
10	-90	2.50738436693527	0.9354027260	-1.769291564	3.024010010e-16
15	-90	2.43468736507589	1.130143459	-1.651727405	2.880035439e-16
20	-90	2.35825486015068	1.306570665	-1.516034690	2.713859790e-16
25	-90	2.27905855820242	1.463171766	-1.365528518	2.529542889e-16
30	-90	2.19807901300033	1.599039507	-1.203592265	2.331228174e-16
35	-90	2.11628988105256	1.713854008	-1.033563182	2.123002602e-16
40	-90	2.03463518036591	1.807838284	-0.8586209737	1.908760187e-16
45	-90	1.95400269724911	1.881688558	-0.6816885577	1.692080470e-16

-45	-85	2.84179821685003	-1.505620566	-1.305620566	0.1754690629
-40	-85	2.85422055511830	-1.330551064	-1.481565807	0.1908622769
-35	-85	2.85736493757002	-1.134724529	-1.634628578	0.2042535341
-30	-85	2.85121050756264	-0.9215308022	-1.762163574	0.2154114005
-25	-85	2.83586432820923	-0.6947381786	-1.862124292	0.2241568301
-20	-85	2.81155177228389	-0.4583740234	-1.933110989	0.2303673613
-15	-85	2.77860157952600	-0.2166007477	-1.974390399	0.2339788418
-10	-85	2.73746225689348	0.02639929571	-1.985923064	0.2349878192
-5	-85	2.68868076557530	0.2665510071	-1.968334198	0.2334489929
-2.84217e-14	-85	2.63289379568766	0.5000000000	-1.922874840	0.2294718143
5	-85	2.57082260355912	0.7232157701	-1.851367927	0.2232157701
10	-85	2.50326745193878	0.9330833148	-1.756137529	0.2148841899
15	-85	2.43109388609703	1.126978589	-1.639915948	0.2047161190
20	-85	2.35521592111995	1.302822762	-1.505737409	0.1929770180
25	-85	2.27657686197920	1.459112630	-1.356823672	0.1799487542
30	-85	2.19613063637469	1.594926992	-1.196469181	0.1659195541
35	-85	2.11482903260847	1.709912969	-1.027934794	0.1511747058
40	-85	2.03359930256530	1.804246569	-0.8543405347	0.1359871760
45	-85	1.95331846342916	1.878569266	-0.6785692664	0.1206091827

-45	-80	2.83255375390544	-1.487528878	-1.287528878	0.3504549662
-40	-80	2.84327816128694	-1.311176141	-1.458475673	0.3805974984
-35	-80	2.84484985323439	-1.114979536	-1.606429805	0.4066858037
-30	-80	2.83733460474139	-0.9024105396	-1.729046308	0.4283064014
-25	-80	2.82091346222130	-0.6772321613	-1.824582517	0.4451520128
-20	-80	2.79586538008758	-0.4433800767	-1.891915459	0.4570246271
-15	-80	2.76256546466565	-0.2048542622	-1.930551918	0.4638372774
-10	-80	2.72147374993855	0.03438885355	-1.940612030	0.4656111464
-5	-80	2.67313209383247	0.2705343774	-1.922804068	0.4624711223
-2.84217e-14	-80	2.61814887383365	0.5000000000	-1.878373309	0.4546367808
5	-80	2.55719768041615	0.7195136407	-1.809052394	0.4424136331
10	-80	2.49101515894032	0.9261824770	-1.717000934	0.4261824770
15	-80	2.42038808321312	1.117549477	-1.604726023	0.4063853809
20	-80	2.34614866504079	1.291636795	-1.475004217	0.3835119267
25	-80	2.26915858122484	1.446972141	-1.330788310	0.3580827712
30	-80	2.19029423909920	1.582597632	-1.175114104	0.3306332084
35	-80	2.11044266730170	1.698067348	-1.011017495	0.3016985488
40	-80	2.03048084429223	1.793421977	-0.8414402878	0.2717975119
45	-80	1.95125302136205	1.869143206	-0.6691432065	0.2414168878

-45	-75	2.81697286078670	-1.457082291	-1.257082291	0.5243986194
-40	-75	2.82492745960408	-1.278743867	-1.419824394	0.5680052344
-35	-75	2.82396518681635	-1.082098288	-1.559470516	0.6054233001
-30	-75	2.81428544504800	-0.8707215738	-1.674159409	0.6361540963
-25	-75	2.79617790835415	-0.6483400968	-1.762623285	0.6598579204
-20	-75	2.77000671782545	-0.4187229348	-1.824170518	0.6763494519
-15	-75	2.73620129739576	-0.1855902778	-1.858657750	0.6855902778
-10	-75	2.69524317609194	0.04746619667	-1.866446732	0.6876773291
-5	-75	2.64765706093530	0.2770476570	-1.848356942	0.6828301846
-2.84217e-14	-75	2.59400359580684	0.5000000000	-1.805615067	0.6713775337
5	-75	2.53487860818044	0.7134555617	-1.739808234	0.6537446460
10	-75	2.47091709660219	0.9148692487	-1.652840427	0.6304416925
15	-75	2.40279084021337	1.102050018	-1.546881255	0.6020500178
20	-75	2.33120256231352	1.273185583	-1.424309931	0.5692071305
25	-75	2.25688597142565	1.426862574	-1.287663205	0.5325927507
30	-75	2.18059919738168	1.562079317	-1.139575339	0.4929127265
35	-75	2.10312380721681	1.678254105	-0.9827212516	0.4508838005
40	-75	2.02525302379538	1.775220850	-0.8197490290	0.4072155250
45	-75	1.94777483621720	1.853209927	-0.6532099267	0.3625915071

-45	-70	2.79480043486420	-1.413854405	-1.213854405	0.6965860360
-40	-70	2.79901175843633	-1.233067166	-1.365389021	0.7517401257
-35	-70	2.79468616020748	-1.036144321	-1.493841450	0.7984929866
-30	-70	2.78218856589096	-0.8267449399	-1.597989645	0.8363998293
-25	-70	2.76193991524468	-0.6084936632	-1.677172332	0.8652199706
-20	-70	2.73440134948518	-0.3848948708	-1.731228676	0.8848948708
-15	-70	2.70005423720331	-0.1592692327	-1.760426272	0.8955219267
-10	-70	2.65938964099031	0.06528430604	-1.765395212	0.8973304728
-5	-70	2.61290084583265	0.2859093049	-1.747067842	0.8906598559
-2.84217e-14	-70	2.56108061586673	0.5000000000	-1.706628556	0.8759411593
5	-70	2.50442490655079	0.7052026084	-1.645476547	0.8536836482
10	-70	2.44344419779196	0.8994162885	-1.565202335	0.8244662247
15	-70	2.37866135733082	1.080795092	-1.467556790	0.7889261528
20	-70	2.31062295074551	1.247753580	-1.354436076	0.7477535797
25	-70	2.23990120181300	1.398975490	-1.227859159	0.7016833499
30	-70	2.16710177355422	1.533427909	-1.089949644	0.6514883914
35	-70	2.09286759639788	1.650378428	-0.9429106596	0.5979705777
40	-70	2.01787545648106	1.749410149	-0.7889890335	0.5419476874
45	-70	1.94283113061680	1.830433426	-0.6304334258	0.4842381657

-45	-65	2.76569267680351	-1.357281375	-1.157281375	0.8660645287
-40	-65	2.76533599616500	-1.173931711	-1.294914131	0.9302437365
-35	-65	2.75700615685686	-0.9772516305	-1.409733972	0.9837851076
-30	-65	2.74124462903263	-0.7709035934	-1.501269595	1.026468870
-25	-65	2.71860948357289	-0.5583047056	-1.569541765	1.058304706
-20	-65	2.68964085785961	-0.3425711838	-1.614945302	1.079476722
-15	-65	2.65485427253810	-0.1265075673	-1.638158073	1.090301015
-10	-65	2.61472976602717	0.08738464196	-1.640057979	1.091186956
-5	-65	2.56970881453005	0.2968810509	-1.621660212	1.082607936
-2.84217e-14	-65	2.52019823732557	0.5000000000	-1.584075287	1.065081798
5	-65	2.46657934394620	0.6949672280	-1.528485613	1.039159907
10	-65	2.40922034976867	0.8801851075	-1.456136888	1.005423143
15	-65	2.34848605093822	1.054209057	-1.368336359	0.9644810836
20	-65	2.28475010196988	1.215732955	-1.266460131	0.9169754186
25	-65	2.21840828444614	1.363585572	-1.151965236	0.8635855722
30	-65	2.14989054771612	1.496738341	-1.026401448	0.8050342161
35	-65	2.07967539888688	1.614326084	-0.8914225756	0.7420925343
40	-65	2.00829754287488	1.715676123	-0.7487863870	0.6755801873
45	-65	1.93635154311931	1.800343197	-0.6003431970	0.6063599910

-45	-60	2.72923358225363	-1.286702783	-1.086702783	1.031553333
-40	-60	2.72369299032612	-1.101147119	-1.208172832	1.101684098
-35	-60	2.71096284175468	-0.9056678296	-1.307501709	1.159031652
-30	-60	2.69175498811683	-0.7037894264	-1.385024448	1.203789426
-25	-60	2.66672702571676	-0.4985654865	-1.441430596	1.236355531
-20	-60	2.63646900721498	-0.2925926569	-1.477630428	1.257255514
-15	-60	2.60149652042292	-0.08805430378	-1.494648539	1.267080925
-10	-60	2.56224813575963	0.1132189426	-1.493544379	1.266443438
-5	-60	2.51909095006886	0.3096805171	-1.475361644	1.255945631
-2.84217e-14	-60	2.47233063429421	0.5000000000	-1.441101136	1.236165317
5	-60	2.42222443462231	0.6830011345	-1.391712539	1.207650798
10	-60	2.36899840026686	0.8576092781	-1.328102998	1.170925812
15	-60	2.31286046703128	1.022809676	-1.251152272	1.126498289
20	-60	2.25401326448308	1.177616296	-1.161735471	1.074873475
25	-60	2.19267339656257	1.321054407	-1.060756858	1.016573446
30	-60	2.12909040277455	1.452158174	-0.9491863345	0.9521581742
35	-60	2.06356546484558	1.569984267	-0.8280958977	0.8822465779
40	-60	1.99646864629231	1.673641829	-0.6986918657	0.8075351252
45	-60	1.92825366773383	1.762338342	-0.5623383416	0.7288113814

-45	-55	2.68496072993550	-1.201425446	-1.001425446	1.191350923
-40	-55	2.67389793083453	-1.014616059	-1.105049130	1.263909007
-35	-55	2.65667769223214	-0.8218108900	-1.187741588	1.321810890
-30	-55	2.63413029365142	-0.6261830443	-1.250606251	1.365829201
-25	-55	2.60696454481395	-0.4302456177	-1.294918165	1.396856737
-20	-55	2.57576739762904	-0.2359438893	-1.321989218	1.415812093
-15	-55	2.54100870384245	-0.04476092062	-1.333075434	1.423574744
-10	-55	2.50305142604550	0.1421760257	-1.329320600	1.420945582
-5	-55	2.46216745792183	0.3239964388	-1.311729910	1.408628448
-2.84217e-14	-55	2.41855271678546	0.5000000000	-1.281162402	1.387224848
5	-55	2.37234095033680	0.6695824768	-1.238336579	1.357237884
10	-55	2.32362477621806	0.8321740191	-1.183852476	1.319087704
15	-55	2.27246735024181	0.9871889671	-1.118213978	1.273127134
20	-55	2.21891833693002	1.133985581	-1.041861069	1.219664251
25	-55	2.16302865811495	1.271835556	-0.9552066923	1.158988203
30	-55	2.10487609129166	1.399908319	-0.8586869305	1.091404338
35	-55	2.04458407673000	1.517268111	-0.7528094254	1.017268111
40	-55	1.98234632870307	1.622890126	-0.6382083414	0.9370235683
45	-55	1.91845025190703	1.715697511	-0.5156975109	0.8512405613

-45	-50	2.63240570218989	-1.100819615	-0.9008196149	1.343247148
-40	-50	2.61582847724092	-0.9144208421	-0.9856411200	1.414420842
-35	-50	2.59437459834361	-0.7263195934	-1.051365883	1.469570466
-30	-50	2.56891346406643	-0.5390786049	-1.099736937	1.510158600
-25	-50	2.54012785506533	-0.3544849632	-1.132448917	1.537607211
-20	-50	2.50853637184852	-0.1737261613	-1.151047415	1.553213203
-15	-50	2.47451527975680	0.002451779132	-1.156875239	1.558103329
-10	-50	2.43832295792995	0.1736092758	-1.151053780	1.553218544
-5	-50	2.40012113124496	0.3395034389	-1.134484088	1.539314922
-2.84217e-14	-50	2.35999299811995	0.5000000000	-1.107859522	1.516974258
5	-50	2.31796014064642	0.6550024399	-1.071685995	1.486621065
10	-50	2.27399932183773	0.8043945770	-1.026307431	1.448543928
15	-50	2.22805152835712	0.9479920100	-0.9719289427	1.402914959
20	-50	2.18003702966215	1.085499974	-0.9086479567	1.349815907
25	-50	2.12987168369727	1.216477056	-0.8364900049	1.289268196
30	-50	2.07748039820496	1.340302900	-0.7554473167	1.221265307
35	-50	2.02282158621544	1.456155579	-0.6655316836	1.145817132
40	-50	1.96591229774921	1.563000633	-0.5668348235	1.063000633
45	-50	1.90686000147251	1.659600471	-0.4596004714	0.9730203279

-45	-45	2.57116217368721	-0.9844611731	-0.7844611731	1.484461173
-40	-45	2.54949447119841	-0.8009397357	-0.8503996038	1.550399604
-35	-45	2.52444144104629	-0.6201264912	-0.8997064157	1.599706416
-30	-45	2.49680197799494	-0.4437024438	-0.9345405799	1.634540580
-25	-45	2.46714645190761	-0.2725760881	-0.9567947675	1.656794768
-20	-45	2.43586195058422	-0.1071229270	-0.9680565329	1.668056533
-15	-45	2.40319156004862	0.05262957848	-0.9696091429	1.669609143
-10	-45	2.36926850509993	0.2068645519	-0.9624537375	1.662453737
-5	-45	2.33413931739396	0.3558767346	-0.9473364619	1.647336462
-2.84217e-14	-45	2.29778201151312	0.5000000000	-0.9247772420	1.624777242
5	-45	2.26012110596949	0.6395529528	-0.8950975498	1.595097550
10	-45	2.22104117348092	0.7747961652	-0.8584464960	1.558446496
15	-45	2.18039119639441	0.9058946215	-0.8148193499	1.514819350
20	-45	2.13799512069217	1.032881535	-0.7640799851	1.464079985
25	-45	2.09366297732618	1.155621376	-0.7059845791	1.405984579
30	-45	2.04720043841255	1.273769035	-0.6402072817	1.340207282
35	-45	1.99842515756018	1.386726435	-0.5663765908	1.266376591
40	-45	1.94719164071653	1.493600499	-0.4841269641	1.184126964
45	-45	1.89342401641042	1.593168866	-0.3931688656	1.093168866