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# 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	2.57114503482622	-0.9844512780	-0.7844512780	1.484451278
-40	-45	2.54948390341693	-0.8009343432	-0.8503931773	1.550393177
-35	-45	2.52443947719074	-0.6201256198	-0.8997051712	1.599705171
-30	-45	2.49681021876495	-0.4437055585	-0.9345459748	1.634545975
-25	-45	2.46716386434700	-0.2725815407	-0.9568064607	1.656806461
-20	-45	2.43588588884648	-0.1071288935	-0.9680729256	1.668072926
-15	-45	2.40321918375931	0.05262443614	-0.9696283344	1.669628334
-10	-45	2.36929672750866	0.2068610601	-0.9624735404	1.662473540
-5	-45	2.33416647639259	0.3558750576	-0.9473556296	1.647355630
0	-45	2.29780507712782	0.5000000000	-0.9247935519	1.624793552
5	-45	2.26013816297645	0.6395540060	-0.8951095880	1.595109588
10	-45	2.22105257845831	0.7747975763	-0.8584544986	1.558454499
15	-45	2.18039698195244	0.9058956985	-0.8148233694	1.514823369
20	-45	2.13799532203714	1.032881585	-0.7640801230	1.464080123
25	-45	2.09365794861450	1.155619802	-0.7059812021	1.405981202
30	-45	2.04719051780873	1.273765285	-0.6402007871	1.340200787
35	-45	1.99841529414187	1.386722059	-0.5663703405	1.266370341
40	-45	1.94718360819703	1.493596400	-0.4841220794	1.184122079
45	-45	1.89342299594215	1.593168276	-0.3931682764	1.093168276

-45	-40	2.52412651814181	-1.034972834	-0.5879951388	1.534972834
-40	-40	2.50096720170663	-0.8523134893	-0.6523134893	1.611624459
-35	-40	2.47427317044505	-0.6695495593	-0.7015396155	1.670289872
-30	-40	2.44481908160151	-0.4888846924	-0.7372086148	1.712798530
-25	-40	2.41318815446334	-0.3117831499	-0.7607672205	1.740874583
-20	-40	2.37980154440900	-0.1391514101	-0.7735043198	1.756054067
-15	-40	2.34494874928481	0.02850358703	-0.7765204651	1.759648569
-10	-40	2.30881515877564	0.1909450206	-0.7707217138	1.752737886
-5	-40	2.27150303380226	0.3481041557	-0.7568258532	1.736177444
0	-40	2.23304659007945	0.5000000000	-0.7353746800	1.710612932
5	-40	2.19343369244992	0.6466753324	-0.7067561711	1.676506721
10	-40	2.15261903766352	0.7881467708	-0.6712243478	1.634161543
15	-40	2.11052935613099	0.9243619487	-0.6289159464	1.583740353
20	-40	2.06707766138402	1.055162091	-0.5798747318	1.525295310
25	-40	2.02217487499395	1.180248445	-0.5240764426	1.458797498
30	-40	1.97574075434372	1.299151071	-0.4614567532	1.384170258
35	-40	1.92772928926790	1.411206963	-0.3919525779	1.301338408
40	-40	1.87813540356380	1.515538244	-0.3155382442	1.210271351
45	-40	1.82703016805275	1.611054321	-0.2322852710	1.111054321

-45	-35	2.47577883082994	-1.068869539	-0.3985342776	1.568869539
-40	-35	2.45058166733714	-0.8881196825	-0.4583509628	1.654296619
-35	-35	2.42184600728255	-0.7049720731	-0.5049720731	1.720878464
-30	-35	2.39031587127030	-0.5219438314	-0.5394084017	1.770058638
-25	-35	2.35657851992658	-0.3409001362	-0.5626955701	1.803316162
-20	-35	2.32108146874277	-0.1631754580	-0.5758198641	1.822059596
-15	-35	2.28415419946015	0.01030551660	-0.5796745741	1.827564692
-10	-35	2.24603030508545	0.1789185065	-0.5750384612	1.820943637
-5	-35	2.20686340275417	0.3422463847	-0.5625666708	1.803132074
0	-35	2.16674554693324	0.5000000000	-0.5427941893	1.774894044
5	-35	2.12572628021677	0.6519536757	-0.5161473833	1.736838461
10	-35	2.08382622237108	0.7978935922	-0.4829575825	1.689438513
15	-35	2.04104420655191	0.9375746999	-0.4434746289	1.633051012
20	-35	1.99737127399243	1.070685531	-0.3978873347	1.567945609
25	-35	1.95280494792960	1.196821232	-0.3463466998	1.494337954
30	-35	1.90735269475277	1.315460142	-0.2889860095	1.412418398
35	-35	1.86105947452578	1.425956765	-0.2259567646	1.322403308
40	-35	1.81401212244590	1.527538060	-0.1574546674	1.224572174
45	-35	1.76635607855623	1.619317369	-0.08375445923	1.119317369

-45	-30	2.42679460906388	-1.088709999	-0.2172421455	1.588709999
-40	-30	2.39910878210375	-0.9103374092	-0.2703957106	1.680774674
-35	-30	2.36799794053471	-0.7278362781	-0.3124021336	1.753531933
-30	-30	2.33417795928721	-0.5438761177	-0.3438761177	1.808046473
-25	-30	2.29823700075909	-0.3605830768	-0.3655151430	1.845526364
-20	-30	2.26064430704576	-0.1796097632	-0.3780356270	1.867212478
-15	-30	2.22176589140451	-0.002218236382	-0.3821299043	1.874303975
-10	-30	2.18187932205448	0.1706370552	-0.3784383880	1.867910081
-5	-30	2.14118648324970	0.3382315238	-0.3675334323	1.849022143
0	-30	2.09983258477458	0.5000000000	-0.3499162924	1.818508362
5	-30	2.05792350065153	0.6554778864	-0.3260209259	1.777120373
10	-30	2.01553827292617	0.8042531336	-0.2962209294	1.725505265
15	-30	1.97273514881506	0.9459261757	-0.2608373709	1.664219144
20	-30	1.92956537018456	1.080078635	-0.2201536957	1.593752952
25	-30	1.88608942448385	1.206252941	-0.1744341172	1.514564319
30	-30	1.84237279030965	1.323934160	-0.1239341598	1.427095827
35	-30	1.79851057118644	1.432550020	-0.06892631891	1.331819452
40	-30	1.75463083404678	1.531475322	-0.009716144485	1.229264421
45	-30	1.71090257664703	1.620048652	0.05333960925	1.120048652

-45	-25	2.37760387738703	-1.096663084	-0.04453622369	1.596663084
-40	-25	2.34708789984959	-0.9207549716	-0.08954738983	1.693189842
-35	-25	2.31335386969472	-0.7395350542	-0.1254762435	1.770239517
-30	-25	2.27709694117565	-0.5557141287	-0.1526671058	1.828550509
-25	-25	2.23890724946556	-0.3715654425	-0.1715654425	1.869078123
-20	-25	2.19927491653499	-0.1889565440	-0.1826702910	1.892892548
-15	-25	2.15859860528645	-0.009398340635	-0.1864977167	1.901100489
-10	-25	2.11719472237769	0.1658977651	-0.1835541226	1.894787931
-5	-25	2.07530887229787	0.3359601855	-0.1743192392	1.874983659
0	-25	2.03313235163064	0.5000000000	-0.1592388603	1.842643682
5	-25	1.99081721264890	0.6573612924	-0.1387232446	1.798647802
10	-25	1.94848813970523	0.8074796263	-0.1131489798	1.743803615
15	-25	1.90624612163357	0.9498467704	-0.08286107951	1.678851003
20	-25	1.86418175292744	1.083983479	-0.04818197485	1.604481423
25	-25	1.82239097738005	1.209423313	-0.009423313105	1.521363205
30	-25	1.78096868839167	1.325697744	0.03310989553	1.430150444
35	-25	1.74002611977571	1.432336120	0.07910483831	1.331513971
40	-25	1.69969367044889	1.528869959	0.1282324488	1.226159471
45	-25	1.66012522184591	1.614845363	0.1801390697	1.114845363

-45	-20	2.32844503924437	-1.094498390	0.1196500474	1.594498390
-40	-20	2.29486970481274	-0.9209169799	0.08365902350	1.693382916
-35	-20	2.25836166089438	-0.7413449102	0.05474473910	1.772824259
-30	-20	2.21960340117771	-0.5584644108	0.03272822391	1.833314137
-25	-20	2.17918993143003	-0.3746092616	0.01733538517	1.875605614
-20	-20	2.13763020403701	-0.1917704321	0.008229567855	1.900623642
-15	-20	2.09535075499375	-0.01161945766	0.005038943508	1.909389810
-10	-20	2.05270071077513	0.1644563849	0.007378328111	1.902962404
-5	-20	2.00996121620008	0.3353117783	0.01486425518	1.882394988
0	-20	1.96735931072652	0.5000000000	0.02712348657	1.848713027
5	-20	1.92508064551090	0.6577334456	0.04379750650	1.802901533
10	-20	1.88327961242426	0.8078492865	0.06454434544	1.745900062
15	-20	1.84208160101120	0.9497790107	0.08904024897	1.678598120
20	-20	1.80159580318415	1.083024466	0.1169755344	1.601846554
25	-20	1.76192918817632	1.207143312	0.1480487023	1.516473727
30	-20	1.72317843363981	1.321733759	0.1819667634	1.423284620
35	-20	1.68544771049284	1.426433517	0.2184367407	1.323084181
40	-20	1.64884517949312	1.520917269	0.2571640316	1.216681824
45	-20	1.61348753336923	1.604901869	0.2978486081	1.104901869

-45	-15	2.27942066234359	-1.083619734	0.2756703712	1.583619734
-40	-15	2.24266345368928	-0.9121155043	0.2490699853	1.682893725
-35	-15	2.20332944066235	-0.7343933103	0.2276333478	1.762896346
-30	-15	2.16209457452500	-0.5530664838	0.2112701440	1.823964654
-25	-15	2.11955999868448	-0.3704652614	0.1998142111	1.866718777
-20	-15	2.07624932687047	-0.1886257216	0.1930445168	1.891983621
-15	-15	2.03260956076841	-0.009296357255	0.1907036427	1.900719881
-10	-15	1.98901360039061	0.1660427907	0.1925134873	1.893965450
-5	-15	1.94576649303085	0.3361520436	0.1981872413	1.872790711
0	-15	1.90311773744048	0.5000000000	0.2074368845	1.838270573
5	-15	1.86127179277862	0.6567328765	0.2199784063	1.791464976
10	-15	1.82039614970332	0.8056461845	0.2355353560	1.733405650
15	-15	1.78062272748355	0.9461578290	0.2538421710	1.665083686
20	-15	1.74206155979399	1.077786291	0.2746427712	1.587454789
25	-15	1.70481129801796	1.200135412	0.2976889616	1.501445236
30	-15	1.66895177552949	1.312877105	0.3227424228	1.407944446
35	-15	1.63456244301817	1.415747281	0.3495699759	1.307822654
40	-15	1.60171646979881	1.508536817	0.3779445306	1.201927375
45	-15	1.57048661280473	1.591090220	0.4076432567	1.091090220

-45	-10	2.23053796010641	-1.065110143	0.4240288540	1.565110143
-40	-10	2.19057460278107	-0.8954021489	0.4067725468	1.662975524
-35	-10	2.14845793485428	-0.7196480577	0.3928669747	1.741837943
-30	-10	2.10486018321113	-0.5403701066	0.3822633858	1.801973883
-25	-10	2.06038635573418	-0.3598466827	0.3748623644	1.843947162
-20	-10	2.01556691412797	-0.1800919971	0.3705264410	1.868537405
-15	-10	1.97085884994292	-0.002854422219	0.3690909900	1.876678253
-10	-10	1.92664624787863	0.1703741977	0.3703741977	1.869400820
-5	-10	1.88324323305175	0.3383396084	0.3741853447	1.847786731
0	-10	1.84090566651102	0.5000000000	0.3803300858	1.812938173
5	-10	1.79984096541000	0.6545010172	0.3886145383	1.765954708
10	-10	1.76021339506240	0.8011511601	0.3988488399	1.707913099
15	-10	1.72214662700202	0.9393967874	0.4108500005	1.639851135
20	-10	1.68573802038919	1.068801229	0.4244417433	1.562768531
25	-10	1.65106456018061	1.189027270	0.4394550659	1.477623748
30	-10	1.61817983916891	1.299818413	0.4557296265	1.385326129
35	-10	1.58713100983575	1.400990995	0.4731115231	1.286748494
40	-10	1.55795221428453	1.492419918	0.4914545529	1.182720003
45	-10	1.53067332357679	1.574033434	0.5106189275	1.074033434

-45	-5	2.18173603428747	-1.039776693	0.5652869950	1.539776693
-40	-5	2.13863227410601	-0.8716093446	0.5569892490	1.634620364
-35	-5	2.09386628702666	-0.6979199908	0.5503237779	1.710807047
-30	-5	2.04810557722659	-0.5211259942	0.5452638662	1.768642103
-25	-5	2.00195096113520	-0.3434138478	0.5417586564	1.808706833
-20	-5	1.95592898195378	-0.1667177700	0.5397389645	1.831792018
-15	-5	1.91049129196502	0.007284708092	0.5391224769	1.838838503
-10	-5	1.86601635546010	0.1771657187	0.5398183891	1.830884190
-5	-5	1.82281073848116	0.3417315523	0.5417315523	1.809016635
0	-5	1.78111996685146	0.5000000000	0.5447651664	1.774342268
5	-5	1.74113791019759	0.6511770742	0.5488229258	1.727961865
10	-5	1.70301156534053	0.7946332775	0.5538109620	1.670948350
15	-5	1.66684463177162	0.9298788708	0.5596393311	1.604329787
20	-5	1.63271304373042	1.056543111	0.5662219919	1.529089629
25	-5	1.60066546673195	1.174353891	0.5734776930	1.446156586
30	-5	1.57072728330261	1.283119033	0.5813302059	1.356401953
35	-5	1.54291327284039	1.382714749	0.5897076518	1.260647309
40	-5	1.51722309292012	1.473069282	0.5985430003	1.159658813
45	-5	1.49365081082962	1.554155347	0.6077733575	1.054155347

-45	0	2.13290663387370	-1.008192744	0.7000000000	1.508192744
-40	0	2.08681362014148	-0.8413779388	0.7000000000	1.598591978
-35	0	2.03961832372312	-0.6698770096	0.7000000000	1.670757519
-30	0	1.99197706077153	-0.4959885304	0.7000000000	1.725102738
-25	0	1.94447338585313	-0.3217699623	0.7000000000	1.762291371
-20	0	1.89761309768895	-0.1490219036	0.7000000000	1.783173025
-15	0	1.85182444245845	0.02071256611	0.7000000000	1.788725055
-10	0	1.80746073965523	0.1861377364	0.7000000000	1.780001350
-5	0	1.76480279748498	0.3461873014	0.7000000000	1.758087190
0	0	1.72406810834876	0.5000000000	0.7000000000	1.724068108
5	0	1.68542266399068	0.6468942641	0.7000000000	1.679009122
10	0	1.64898587786975	0.7863433927	0.7000000000	1.623934077
15	0	1.61483454719052	0.9179499355	0.7000000000	1.559810394
20	0	1.58301740761169	1.041423841	0.7000000000	1.487549777
25	0	1.55355519777306	1.156560797	0.7000000000	1.407999173
30	0	1.52644858175555	1.263224291	0.7000000000	1.321943249
35	0	1.50168541644619	1.361331370	0.7000000000	1.230108679
40	0	1.47924016159877	1.450837248	0.7000000000	1.133163706
45	0	1.45908230603369	1.531726993	0.7000000000	1.031726993

-45	5	2.08391660893493	-0.9707398945	0.8286730678	1.470739895
-40	5	2.03506903050720	-0.8051891777	0.8360854570	1.555463892
-35	5	1.98574663140440	-0.6360637501	0.8419474852	1.622467180
-30	5	1.93658365110791	-0.4655243988	0.8463105566	1.672337315
-25	5	1.88812844379427	-0.2954608813	0.8492444059	1.705871365
-20	5	1.84084480125223	-0.1274890102	0.8508314958	1.724011886
-15	5	1.79511559399617	0.03704007570	0.8511620344	1.727789959
-10	5	1.75124813165284	0.1970214488	0.8503297363	1.718276749
-5	5	1.70947892490571	0.3515717677	0.8484282323	1.696542459
0	5	1.66998191647394	0.5000000000	0.8455485143	1.663627131
5	5	1.63288381122602	0.6417777395	0.8417777395	1.620526978
10	5	1.59826883999713	0.7765120309	0.8371977671	1.568177654
15	5	1.56618251653114	0.9039181330	0.8318841729	1.507442995
20	5	1.53664641289628	1.023796865	0.8259066907	1.439120060
25	5	1.50965794264738	1.136012789	0.8193287477	1.363933828
30	5	1.48520064424209	1.240477933	0.8122081831	1.282545402
35	5	1.46324479298493	1.337135685	0.8045973919	1.195553660
40	5	1.44375254842617	1.425949033	0.7965440103	1.103503087
45	5	1.42668262232417	1.506892042	0.7880916391	1.006892042

-45	10	2.03461395845045	-0.9276353956	0.9517306389	1.427635396
-40	10	1.98332965620181	-0.7633865383	0.9654859155	1.505645446
-35	10	1.93226446588107	-0.5969181963	0.9762270657	1.566561536
-30	10	1.88200993943630	-0.4302218252	0.9840965261	1.611191463
-25	10	1.83305792858222	-0.2649772941	0.9892642534	1.640499101
-20	10	1.78580610650043	-0.1025661728	0.9919158325	1.655536953
-15	10	1.74056855448185	0.05590295326	0.9922430580	1.657392742
-10	10	1.69758583231551	0.2095636562	0.9904363438	1.647146356
-5	10	1.65703294440964	0.3577578350	0.9866786446	1.625835385
0	10	1.61902782754262	0.5000000000	0.9811412318	1.594431157
5	10	1.58364934229951	0.6359428078	0.9739827524	1.553833403
10	10	1.55094090028042	0.7653471747	0.9653471747	1.504858608
15	10	1.52091648067256	0.8880539584	0.9553632732	1.448237089
20	10	1.49357469362038	1.003961535	0.9441463821	1.384622938
25	10	1.46889674705999	1.113004445	0.9317980868	1.314592275
30	10	1.44685780777246	1.215139002	0.9184086642	1.238657087
35	10	1.42742298174423	1.310327090	0.9040573993	1.157267019
40	10	1.41055722042883	1.398528895	0.8888153459	1.070825038
45	10	1.39622239563652	1.479692734	0.8727462619	0.9796927343

-45	15	1.98484071208774	-0.8789613176	1.069491571	1.378961318
-40	15	1.93152063186660	-0.7162013104	1.088368850	1.449412281
-35	15	1.87917707273677	-0.5527901841	1.102872383	1.503540203
-30	15	1.82832778406113	-0.3905025402	1.113283667	1.542395644
-25	15	1.77938134333894	-0.2307599913	1.119908501	1.567119859
-20	15	1.73264534922899	-0.07466323457	1.123058083	1.578874261
-15	15	1.68834237662385	0.07696419479	1.123035805	1.578791118
-10	15	1.64662748748614	0.2235297334	1.120128470	1.567940797
-5	15	1.60760010196435	0.3646281595	1.114599719	1.547307217
0	15	1.57131279425208	0.5000000000	1.106685677	1.517771609
5	15	1.53779045523204	0.6294933510	1.096595827	1.480115775
10	15	1.50703485678713	0.7530325358	1.084512134	1.435018820
15	15	1.47903138376242	0.8705902553	1.070590255	1.383061662
20	15	1.45376058258746	0.9821660469	1.054963101	1.324740326
25	15	1.43119597223022	1.087766507	1.037741742	1.260469341
30	15	1.41131322038133	1.187392063	1.019019767	1.190597978
35	15	1.39408665539688	1.281023123	0.9988749817	1.115416617
40	15	1.37949689501433	1.368614036	0.9773740099	1.035173898
45	15	1.36752494448264	1.450083293	0.9545740510	0.9500832927

-45	20	1.93444661376456	-0.8246917835	1.182148379	1.324691783
-40	20	1.87958124889874	-0.6637823734	1.204805541	1.386941825
-35	20	1.82650030530798	-0.5039653509	1.221864567	1.433811115
-30	20	1.77561428109424	-0.3467388916	1.233796846	1.466594781
-25	20	1.72721513858919	-0.1932109658	1.241076590	1.486595714
-20	20	1.68149640410849	-0.04415842924	1.244158429	1.495062997
-15	20	1.63856996655160	0.09991219817	1.243461429	1.493148004
-10	20	1.59849080382999	0.2387035625	1.239362298	1.481885735
-5	20	1.56127334039250	0.3720754769	1.232191449	1.462183990
0	20	1.52690009531249	0.5000000000	1.222230589	1.434816752
5	20	1.49534083073938	0.6225222757	1.209717026	1.400436020
10	20	1.46655687532518	0.7397299290	1.194845191	1.359575988
15	20	1.44050889780704	0.8517274515	1.177770885	1.312664719
20	20	1.41716423820307	0.9586164228	1.158616423	1.260038266
25	20	1.39649651416524	1.060478354	1.137473917	1.201949708
30	20	1.37849071752425	1.157362196	1.114410948	1.138584722
35	20	1.36314395821340	1.249274062	1.089475178	1.070074258
40	20	1.35046361224620	1.336168029	1.062698614	0.9965062523
45	20	1.34046604955223	1.417939192	1.034102543	0.9179391921

-45	25	1.88329418251158	-0.7647129014	1.289745311	1.264712901
-40	25	1.82746974711066	-0.6062162302	1.314750717	1.318337167
-35	25	1.77426811864333	-0.4506835756	1.333113766	1.357716854
-30	25	1.72395440466548	-0.2992646204	1.345540902	1.384366931
-25	25	1.67667244560099	-0.1526977669	1.352697767	1.399714878
-20	25	1.63247671030856	-0.01139832677	1.355188072	1.405055355
-15	25	1.59135635292749	0.1244627030	1.353541501	1.401524273
-10	25	1.55325744979621	0.2548894394	1.348210110	1.390091066
-5	25	1.51810584697342	0.3800034998	1.339571857	1.371566273
0	25	1.48581429336667	0.5000000000	1.327932254	1.346605064
5	25	1.45629969412977	0.6151111215	1.313533175	1.315726139
10	25	1.42948663943629	0.7255790060	1.296557700	1.279322116
15	25	1.40531505352090	0.8316342161	1.277137678	1.237675744
20	25	1.38374386581593	0.9334789545	1.255360129	1.190973639
25	25	1.36475301054901	1.031273264	1.231273264	1.139319191
30	25	1.34834530653335	1.125123667	1.204892730	1.082745953
35	25	1.33454668112125	1.215073217	1.176207551	1.021230389
40	25	1.32340233826735	1.301090769	1.145185228	0.9547028024
45	25	1.31497906931308	1.383064903	1.111779927	0.8830649027

-45	30	1.83127594888256	-0.6988515220	1.392157249	1.198851522
-40	30	1.77518360951008	-0.5435574541	1.418029367	1.243663345
-35	30	1.72254981654591	-0.3931634269	1.436450433	1.275569568
-30	30	1.67345649556224	-0.2483924963	1.448392496	1.296253828
-25	30	1.62787265807244	-0.1095627476	1.454718929	1.307211531
-20	30	1.58569684137579	0.02329738407	1.456172779	1.309729673
-15	30	1.54678788231668	0.1503569141	1.453376145	1.304885761
-10	30	1.51098307169008	0.2719113844	1.446834223	1.293554819
-5	30	1.47812217577153	0.3883266012	1.436948814	1.276432789
0	30	1.44805310832463	0.5000000000	1.424026554	1.254050778
5	30	1.42064523399334	0.6073309665	1.408292479	1.226798561
10	30	1.39579112298484	0.7106999548	1.389898251	1.194938823
15	30	1.37341399023277	0.8104528495	1.368932922	1.158625808
20	30	1.35346869813539	0.9068886638	1.345429921	1.117917416
25	30	1.33594526207499	1.000249488	1.319374724	1.072788490
30	30	1.32086604226005	1.090709252	1.290709252	1.023138437
35	30	1.30829074920513	1.178364967	1.259340160	0.9688055751
40	30	1.29831201543467	1.263224251	1.225143512	0.9095752435
45	30	1.29105585920792	1.345194457	1.187973247	0.8451944573

-45	35	1.77832989842560	-0.6269050260	1.489067394	1.126905026
-40	35	1.72276421202958	-0.4758511389	1.514323232	1.162974101
-35	35	1.67145404718270	-0.3316199470	1.531619947	1.187676370
-30	35	1.62425649714087	-0.1944265935	1.542197123	1.202782142
-25	35	1.58094881221176	-0.06413145597	1.547099744	1.209783811
-20	35	1.54126673940618	0.05963188302	1.547182121	1.209901458
-15	35	1.50493948503301	0.1773595391	1.543127314	1.204110593
-10	35	1.47170423440148	0.2896123696	1.535464908	1.193167543
-5	35	1.44132351481154	0.3969696108	1.524594322	1.177642737
0	35	1.41358992769429	0.5000000000	1.510801873	1.157945079
5	35	1.38833354296815	0.5992424975	1.494278276	1.134346937
10	35	1.36542181323928	0.6951940159	1.475129936	1.107000274
15	35	1.34476565636662	0.7883011679	1.453391526	1.075954607
20	35	1.32631675576706	0.8789529725	1.429031396	1.041164735
25	35	1.31007381433633	0.9674748750	1.401960231	1.002503105
30	35	1.29607879972448	1.054119123	1.372032920	0.9597624746
35	35	1.28442467712907	1.139056266	1.339056266	0.9126669323
40	35	1.27525350355051	1.222360945	1.302792040	0.8608762511
45	35	1.26875535634550	1.303994123	1.262962746	0.8039941234

-45	40	1.72446820617252	-0.5486842995	1.579950609	1.048684299
-40	40	1.67032431818432	-0.4031714232	1.603171423	1.076357788
-35	40	1.62114087358437	-0.2662874969	1.618287109	1.094371961
-30	40	1.57652306303395	-0.1376748022	1.626773087	1.104485156
-25	40	1.53604652232139	-0.01671755559	1.629809971	1.108104374
-20	40	1.49929277584680	0.09732983028	1.628318744	1.106327199
-15	40	1.46587270645179	0.2052584952	1.623001431	1.099990271
-10	40	1.43543973372153	0.3078539134	1.614379125	1.089714608
-5	40	1.40769400759935	0.4058672313	1.602822930	1.075942470
0	40	1.38238563283764	0.5000000000	1.588580357	1.058968832
5	40	1.35931533906074	0.5908976779	1.571795326	1.038965212
10	40	1.33833204388336	0.6791473781	1.552521255	1.015995269
15	40	1.31933649128872	0.7652776200	1.530733435	0.9900295558
20	40	1.30227794031028	0.8497572240	1.506332854	0.9609500752
25	40	1.28716066798719	0.9329937306	1.479152719	0.9285580517
30	40	1.27404388417267	1.015327496	1.448958015	0.8925734049
35	40	1.26304625065039	1.097021866	1.415446208	0.8526355883
40	40	1.25435231676022	1.178248622	1.378248622	0.8083052320
45	40	1.24821463994313	1.259064789	1.336930985	0.7590647891

-45	45	1.66979659901210	-0.4640575159	1.664057516	0.9640575159
-40	45	1.61806094208363	-0.3256537906	1.683975871	0.9839758712
-35	45	1.57183347359216	-0.1974423272	1.696050869	0.9960508694
-30	45	1.53046230681261	-0.07846037925	1.701922767	1.001922767
-25	45	1.49333059741904	0.03237007464	1.702835611	1.002835611
-20	45	1.45988597270070	0.1361328093	1.699716890	0.9997168901
-15	45	1.42964494694714	0.2338618888	1.693240953	0.9932409527
-10	45	1.40219884110774	0.3265143082	1.683886250	0.9838862497
-5	45	1.37720558516792	0.4149633595	1.671973249	0.9719732490
0	45	1.35438847265911	0.5000000000	1.657697273	0.9576972734
5	45	1.33353001995880	0.5823398585	1.641148889	0.9411488888
10	45	1.31446747481318	0.6626312136	1.622327445	0.9223274448
15	45	1.29709411676570	0.7414628744	1.601151715	0.9011517153
20	45	1.28135578663765	0.8193696899	1.577461011	0.8774610114
25	45	1.26725615345316	0.8968357050	1.551016916	0.8510169157
30	45	1.25486140729088	0.9742930305	1.521499627	0.8214996265
35	45	1.24430560522154	1.052114083	1.488500627	0.7885006273
40	45	1.23580259224701	1.130597444	1.451516770	0.7515167697
45	45	1.22965786428490	1.209943299	1.409943299	0.7099432990


### +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	1.89342323395190	1.593168414	-0.3931684138	1.093168414
45	-40	1.82703027791994	1.611054388	-0.2322853270	1.111054388
45	-35	1.76635621914954	1.619317458	-0.08375452162	1.119317458
45	-30	1.71090272440644	1.620048749	0.05333955340	1.120048749
45	-25	1.66012525715241	1.614845386	0.1801390587	1.114845386
45	-20	1.61348760441118	1.604901917	0.2978485904	1.104901917
45	-15	1.57048663160476	1.591090233	0.4076432532	1.091090233
45	-10	1.53067334945314	1.574033452	0.5106189243	1.074033452
45	-5	1.49365082688516	1.554155358	0.6077733566	1.054155358
45	0	1.45908231797265	1.531727001	0.7000000000	1.031727001
45	5	1.42668262808908	1.506892046	0.7880916394	1.006892046
45	10	1.39622239960283	1.479692737	0.8727462623	0.9796927370
45	15	1.36752495439574	1.450083300	0.9545740529	0.9500832996
45	20	1.34046606217363	1.417939201	1.034102546	0.9179392008
45	25	1.31497911174891	1.383064931	1.111779940	0.8830649312
45	30	1.29105588995064	1.345194477	1.187973259	0.8451944774
45	35	1.26875535847717	1.303994125	1.262962747	0.8039941248
45	40	1.24821464301735	1.259064791	1.336930986	0.7590647910
45	45	1.22965789501848	1.209943317	1.409943317	0.7099433167

50	-45	1.90685787881246	1.659599181	-0.4595991806	0.9730192448
50	-40	1.83716890877348	1.683872522	-0.2933869967	0.9933869967
50	-35	1.77274108888094	1.696711633	-0.1379465065	1.004160290
50	-30	1.71332357083185	1.700325257	0.006991889490	1.007192481
50	-25	1.65856674633197	1.696490496	0.1420673186	1.003974734
50	-20	1.60807570393915	1.686598053	0.2681136286	0.9956739888
50	-15	1.56145069330966	1.671711953	0.3860407285	0.9831830672
50	-10	1.51831553472065	1.652629803	0.4967602670	0.9671712423
50	-5	1.47832394602487	1.629927036	0.6011441937	0.9481213593
50	0	1.44117608811509	1.604004934	0.7000000000	0.9263701328
50	5	1.40661394679471	1.575116947	0.7940605448	0.9021302339
50	10	1.37443117506923	1.543399938	0.8839795607	0.8755165028
50	15	1.34447008960145	1.508889798	0.9703312065	0.8465590570
50	20	1.31662445746092	1.471536361	1.053610317	0.8152158024
50	25	1.29084433018676	1.431215447	1.134232894	0.7813825378
50	30	1.26713505988571	1.387733200	1.212533002	0.7448966011
50	35	1.24556691989327	1.340835942	1.288759665	0.7055451285
50	40	1.22627855093674	1.290214484	1.363068682	0.6630686820
50	45	1.20947968306760	1.235509272	1.435509272	0.6171655585

55	-45	1.91845044860562	1.715697636	-0.5156976355	0.8512406486
55	-40	1.84616049019118	1.746274343	-0.3457483412	0.8726506893
55	-35	1.77862113962224	1.763825531	-0.1849401636	0.8849401636
55	-30	1.71580564970217	1.770575428	-0.03356706562	0.8896664928
55	-25	1.65755419042408	1.768404271	0.1085333747	0.8881462323
55	-20	1.60362345747404	1.758851767	0.2418154274	0.8814574969
55	-15	1.55373369900996	1.743151119	0.3668986615	0.8704637848
55	-10	1.50759640942728	1.722266718	0.4844814001	0.8558403694
55	-5	1.46493102935663	1.696931411	0.5952820706	0.8381003964
55	0	1.42548511294308	1.667689044	0.7000000000	0.8176246712
55	5	1.38903450901763	1.634919666	0.7992926048	0.7946793052
55	10	1.35539766933986	1.598873313	0.8937610134	0.7694393770
55	15	1.32443425175011	1.559687335	0.9839423656	0.7420010599
55	20	1.29605020143592	1.517405351	1.070305264	0.7123948961
55	25	1.27020142351760	1.471991697	1.153247172	0.6805959136
55	30	1.24689226389707	1.423339233	1.233090155	0.6465290912
55	35	1.22618424568934	1.371283333	1.310079158	0.6100791578
55	40	1.20819392589710	1.315606822	1.384375384	0.5710940451
55	45	1.19309342201237	1.256048118	1.456048118	0.5293905918

60	-45	1.92826037749230	1.762342734	-0.5623427342	0.7288139174
60	-40	1.85395211742437	1.798847218	-0.3898622212	0.7498897907
60	-35	1.78388104843021	1.820986108	-0.2249644307	0.7626716851
60	-30	1.71821110386720	1.830920598	-0.06840736559	0.7684073656
60	-25	1.65695473559662	1.830564971	0.07954736435	0.7682020442
60	-20	1.60001926599930	1.821559491	0.2189916826	0.7630027277
60	-15	1.54725049295410	1.805276024	0.3502523435	0.7536014638
60	-10	1.49845557102057	1.782830007	0.4738024580	0.7406422501
60	-5	1.45342871703544	1.755108746	0.5901922132	0.7246373723
60	0	1.41197176316447	1.722803416	0.7000000000	0.7059858816
60	5	1.37389890731087	1.686430758	0.8037992414	0.6849861176
60	10	1.33905446358457	1.646366486	0.9021353413	0.6618549993
60	15	1.30731173631459	1.602861284	0.9955107904	0.6367372591
60	20	1.27858246891550	1.556064031	1.084375873	0.6097188529
60	25	1.25281782784744	1.506035639	1.169122123	0.5808349472
60	30	1.23000826484426	1.452760305	1.250076419	0.5500764186
60	35	1.21019207491536	1.396162286	1.327499588	0.5173995373
60	40	1.19345000766969	1.336110710	1.401580189	0.4827287436
60	45	1.17990583744170	1.272429688	1.472429688	0.4459624880

65	-45	1.93636579244036	1.800352766	-0.6003527660	0.6063644531
65	-40	1.86051818053347	1.842178315	-0.4262213294	0.6258680270
65	-35	1.78843099657190	1.868554662	-0.2582722908	0.6381675195
65	-30	1.72041902942126	1.881527960	-0.09762553971	0.6442170678
65	-25	1.65664462109841	1.882995307	0.05509869708	0.6449013029
65	-20	1.59715458071695	1.874653974	0.1996668712	0.6410116752
65	-15	1.54191604670299	1.857981675	0.3361299068	0.6332372547
65	-10	1.49083214603170	1.834223407	0.4647404150	0.6221585926
65	-5	1.44377468715867	1.804410145	0.5858788998	0.6082564398
65	0	1.40060249109511	1.769376944	0.7000000000	0.5919201902
65	5	1.36116886532951	1.729778089	0.8075916415	0.5734549409
65	10	1.32534234185690	1.686117954	0.9091445977	0.5530958856
65	15	1.29300645433614	1.638764380	1.005130996	0.5310145511
65	20	1.26407259199080	1.587973846	1.095990096	0.5073305362
65	25	1.23848040999945	1.533904661	1.182117661	0.4821176611
65	30	1.21619894728592	1.476630008	1.263857598	0.4554100520
65	35	1.19723473403927	1.416155658	1.341499098	0.4272103995
65	40	1.18162575693405	1.352425139	1.415269619	0.3974923701
65	45	1.16944410078154	1.285331923	1.485331923	0.3662062898

70	-45	1.94285298938562	1.830448394	-0.6304483945	0.4842436138
70	-40	1.86586153361611	1.876818055	-0.4552875223	0.5011207901
70	-35	1.79221366571180	1.906895945	-0.2851191465	0.5120682469
70	-30	1.72233983539365	1.922591968	-0.1213338554	0.5177811317
70	-25	1.65652618539900	1.925754483	0.03515976603	0.5189321931
70	-20	1.59494096930778	1.918104267	0.1838522577	0.5161477423
70	-15	1.53765904966650	1.901192862	0.3245515042	0.5099924942
70	-10	1.48467419967342	1.876371708	0.4573085324	0.5009583331
70	-5	1.43593190934145	1.844797605	0.5823454548	0.4894662993
70	0	1.39134532037555	1.807436931	0.7000000000	0.4758681259
70	5	1.35080568888252	1.765074091	0.8106796415	0.4604493133
70	10	1.31420330734112	1.718336152	0.9148255351	0.4434380946
70	15	1.28142864353571	1.667702729	1.012885003	0.4250090357
70	20	1.25238849564362	1.613531788	1.105292426	0.4052924258
70	25	1.22700635237332	1.556071327	1.192454147	0.3843785284
70	30	1.20522597034117	1.495474150	1.274737269	0.3623229598
70	35	1.18701929795078	1.431815592	1.352464302	0.3391531392
70	40	1.17238152634106	1.365099593	1.425904749	0.3148705015
70	45	1.16133628082897	1.295272725	1.495272725	0.2894555999

75	-45	1.94780464394500	1.853230636	-0.6532306355	0.3625970560
75	-40	1.86999271244550	1.903241756	-0.4774596397	0.3759974952
75	-35	1.79518617818652	1.936338613	-0.3057351244	0.3848657715
75	-30	1.72389956488956	1.954298952	-0.1396398911	0.3896782296
75	-25	1.65651492922475	1.958910116	0.01969904044	0.3909137874
75	-20	1.59329872936452	1.951894558	0.1715535976	0.3890339743
75	-15	1.53441459715840	1.934851231	0.3155327713	0.3844672287
75	-10	1.47993428436492	1.909213291	0.4515176752	0.3775975634
75	-5	1.42986753711466	1.876240495	0.5795945584	0.3687625293
75	0	1.38417507386478	1.837010452	0.7000000000	0.3582508709
75	5	1.34278047165807	1.792419622	0.8130720654	0.3463027939
75	10	1.30559236585180	1.743202576	0.9192101567	0.3331151263
75	15	1.27250550755323	1.689936604	1.018842552	0.3188425520
75	20	1.24342007078665	1.633067391	1.112402804	0.3036044923
75	25	1.21824234320542	1.572918841	1.200310272	0.2874877370
75	30	1.19689209380621	1.509710167	1.282956437	0.2705510238
75	35	1.17930917072682	1.443571937	1.360696183	0.2528293384
75	40	1.16545089476981	1.374553868	1.433837828	0.2343360027
75	45	1.15529967636308	1.302640511	1.502640511	0.2150668768

80	-45	1.95128855004382	1.869168136	-0.6691681360	0.2414212835
80	-40	1.87292722097609	1.921833396	-0.4930598783	0.2507075898
80	-35	1.79732338448057	1.957159582	-0.3203141236	0.2569365495
80	-30	1.72504770156162	1.976815862	-0.1526400354	0.2604024820
80	-25	1.65655004382431	1.982532993	0.008683511723	0.2614105665
80	-20	1.59216866335125	1.976024776	0.1627709165	0.2602629922
80	-15	1.53213310943601	1.958917713	0.3090841769	0.2572465555
80	-10	1.47657497037892	1.932702274	0.4473759338	0.2526240662
80	-5	1.42555397159810	1.898714551	0.5776283333	0.2466311136
80	0	1.37906797139512	1.858116830	0.7000000000	0.2394726401
80	5	1.33706550148095	1.811892085	0.8147756852	0.2313219704
80	10	1.29946859777749	1.760858170	0.9223233142	0.2223233142
80	15	1.26617463586698	1.705668485	1.023057897	0.2125918836
80	20	1.23707724674207	1.646836204	1.117414242	0.2022181652
80	25	1.21206796456868	1.584742809	1.205823879	0.1912694243
80	30	1.19104652384391	1.519656672	1.288699054	0.1797929824
80	35	1.17392684003964	1.451747893	1.366421049	0.1678188323
80	40	1.16063692394463	1.381097952	1.439328967	0.1553613416
80	45	1.15112809241029	1.307716473	1.507716473	0.1424222069

85	-45	1.95335826720758	1.878597358	-0.6785973582	0.1206116404
85	-40	1.87468152707104	1.932874944	-0.5023248372	0.1253603139
85	-35	1.79861105330964	1.969566841	-0.3290017800	0.1285704389
85	-30	1.72574988413843	1.990271760	-0.1604088021	0.1303818846
85	-25	1.65658828232611	1.996681290	0.002086052793	0.1309426458
85	-20	1.59150806832669	1.990499810	0.1575024349	0.1304018364
85	-15	1.53077920322368	1.973367479	0.3052123738	0.1289029516
85	-10	1.47457078162198	1.946808504	0.4448886249	0.1265793424
85	-5	1.42297416805883	1.912205824	0.5764479998	0.1235520002
85	0	1.37601079125243	1.870774655	0.7000000000	0.1199272425
85	5	1.33364492100552	1.823552575	0.8157958459	0.1157958459
85	10	1.29580671096156	1.771410089	0.9241839022	0.1112339695
85	15	1.26239485706409	1.715048862	1.025571361	0.1063030010
85	20	1.23329827865650	1.655024525	1.120394547	0.1010515520
85	25	1.20839843016781	1.591754264	1.209093374	0.09551612146
85	30	1.18758212463411	1.525536852	1.292093978	0.08972284858
85	35	1.17074671382190	1.456566205	1.369794868	0.08368869886
85	40	1.15780176390946	1.384942383	1.442554827	0.07742242638
85	45	1.14867933369117	1.310689120	1.510689120	0.07092610765

90	-45	1.95404303413692	1.881717080	-0.6817170802	0.000000000
90	-40	1.87526342317400	1.936535125	-0.5053960933	0.000000000
90	-35	1.79903930431480	1.973686724	-0.3318865530	0.000000000
90	-30	1.72598429023277	1.994746242	-0.1629921451	0.000000000
90	-25	1.65660208033759	2.001391365	-0.0001102915883	0.000000000
90	-20	1.59128898038137	1.995322512	0.1557471149	0.000000000
90	-15	1.53032864125817	1.978183957	0.3039218024	0.000000000
90	-10	1.47390290368399	1.951511007	0.4440594467	0.000000000
90	-5	1.42211396243592	1.916702389	0.5760546013	0.000000000
90	0	1.37499132510399	1.874991325	0.7000000000	0.000000000
90	5	1.33250463629032	1.827434054	0.8161354313	0.000000000
90	10	1.29458677116769	1.774919089	0.9248026336	0.000000000
90	15	1.26113680169350	1.718164607	1.026406223	0.000000000
90	20	1.23204195005449	1.657740729	1.121383164	0.000000000
90	25	1.20718014583615	1.594076767	1.210176375	0.000000000
90	30	1.18643368222256	1.527481709	1.293216841	0.000000000
90	35	1.16969420751794	1.458157401	1.370909035	0.000000000
90	40	1.15686500060983	1.386210005	1.443618488	0.000000000
90	45	1.14787160687250	1.311667797	1.511667797	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	1.22965793259788	1.209943338	1.409943338	0.7099433384
40	45	1.23580259624175	1.130597446	1.451516772	0.7515167721
35	45	1.24430562182829	1.052114090	1.488500638	0.7885006378
30	45	1.25486143968877	0.9742930428	1.521499648	0.8214996477
25	45	1.26725618282432	0.8968357142	1.551016935	0.8510169354
20	45	1.28135581714602	0.8193696975	1.577461032	0.8774610323
15	45	1.29709412934112	0.7414628767	1.601151724	0.9011517241
10	45	1.31446748250911	0.6626312145	1.622327450	0.9223274502
5	45	1.33353002595195	0.5823398588	1.641148893	0.9411488930
0	45	1.35438848181221	0.5000000000	1.657697280	0.9576972799
-5	45	1.37720559955650	0.4149633586	1.671973259	0.9719732592
-10	45	1.40219886752086	0.3265143050	1.683886268	0.9838862682
-15	45	1.42964497956568	0.2338618828	1.693240975	0.9932409753
-20	45	1.45988604342296	0.1361327917	1.699716939	0.9997169386
-25	45	1.49333065133993	0.03237005775	1.702835647	1.002835647
-30	45	1.53046248225523	-0.07846044557	1.701922882	1.001922882
-35	45	1.57183359981014	-0.1974423832	1.696050949	0.9960509494
-40	45	1.61806125869117	-0.3256539522	1.683976064	0.9839760638
-45	45	1.66979693142427	-0.4640577078	1.664057708	0.9640577078

45	50	1.20947971108115	1.235509289	1.435509289	0.6171655728
40	50	1.21341137246412	1.156111190	1.481922868	0.6561111901
35	50	1.22011311913114	1.076728058	1.523653027	0.6911269509
30	50	1.22929961340516	0.9972292548	1.561226332	0.7226546978
25	50	1.24076100311759	0.9173851399	1.595085321	0.7510657627
20	50	1.25435949041638	0.8368876026	1.625591081	0.7766631348
15	50	1.27002141427642	0.7553618886	1.653023542	0.7996817030
10	50	1.28773355140079	0.6723743301	1.677583404	0.8202898740
5	50	1.30754105626699	0.5874355216	1.699392585	0.8385899497
0	50	1.32954170970428	0.5000000000	1.718488039	0.8546129376
-5	50	1.35388993622744	0.4094651199	1.734818415	0.8683157505
-10	50	1.38079345528958	0.3151687928	1.748229865	0.8795692931
-15	50	1.41051636149319	0.2163889381	1.758450893	0.8881457536
-20	50	1.44338074860853	0.1123463140	1.765069749	0.8936996335
-25	50	1.47976385334049	0.002215623007	1.767502041	0.8957405692
-30	50	1.52009879429654	-0.1148522154	1.764955276	0.8936035795
-35	50	1.56486065685299	-0.2396847339	1.756379278	0.8864074628
-40	50	1.61455038433826	-0.3730135535	1.740417039	0.8730135535
-45	50	1.66966016451097	-0.5153544111	1.715354411	0.8519835119

45	55	1.19309345338263	1.256048138	1.456048138	0.5293906057
40	55	1.19496259437735	1.176880562	1.506674842	0.5648398052
35	55	1.19991637827375	1.097009769	1.552618312	0.5970097692
30	55	1.20770898376229	1.016337929	1.594323527	0.6262120749
25	55	1.21815457912279	0.9346752476	1.632164077	0.6527083133
20	55	1.23112922960130	0.8517561540	1.666442090	0.6767100369
15	55	1.24656549378706	0.7672482644	1.697384101	0.6983758661
10	55	1.26445085736838	0.6807597025	1.725139215	0.7178102057
5	55	1.28482796226049	0.5918435894	1.749777030	0.7350617899
0	55	1.30778902948997	0.5000000000	1.771278057	0.7501169710
-5	55	1.33348019384484	0.4046785944	1.789528652	0.7628961751
-10	55	1.36209597114790	0.3052814302	1.804303885	0.7732419046
-15	55	1.39388137832224	0.2011690272	1.815252373	0.7809081189
-20	55	1.42912835964650	0.09167187057	1.821872315	0.7855434521
-25	55	1.46817106986889	-0.02388886779	1.823483303	0.7866714775
-30	55	1.51137700131652	-0.1461666519	1.819193471	0.7836677052
-35	55	1.55913290110113	-0.2757353682	1.807864920	0.7757353682
-40	55	1.61181589143949	-0.4130050197	1.788077012	0.7618797262
-45	55	1.66976195313497	-0.5581069007	1.758106901	0.7408944281

45	60	1.17990584367052	1.272429692	1.472429692	0.4459624904
40	60	1.17992949271789	1.193632034	1.526638468	0.4772599421
35	60	1.18326995077241	1.113540133	1.576226119	0.5058893854
30	60	1.18972972854375	1.032063310	1.621560685	0.5320633096
25	60	1.19915894916950	0.9490293637	1.662946578	0.5559574660
20	60	1.21145865344631	0.8641966700	1.700622127	0.5777094544
15	60	1.22657833332597	0.7772614386	1.734753776	0.5974153711
10	60	1.24451507696291	0.6878642629	1.765431179	0.6151269778
5	60	1.26531578309389	0.5955956932	1.792663773	0.6308497235
0	60	1.28907084108025	0.5000000000	1.816368096	0.6445354205
-5	60	1.31591896954875	0.4005811927	1.836362168	0.6560790035
-10	60	1.34603961483243	0.2968102237	1.852346484	0.6653075528
-15	60	1.37965427749007	0.1881365671	1.863890177	0.6719723068
-20	60	1.41701780655826	0.07400678516	1.870406739	0.6757346456
-25	60	1.45841353939040	-0.04610817359	1.871132758	0.6761538129
-30	60	1.50413616894829	-0.1726701442	1.865098867	0.6726701442
-35	60	1.55447961319382	-0.3060169436	1.851111491	0.6645945295
-40	60	1.60970071664071	-0.4462768655	1.827728854	0.6510945575
-45	60	1.66999135218416	-0.5932659688	1.793265969	0.6311974014

45	65	1.16944411451986	1.285331932	1.485331932	0.3662062941
40	65	1.16787872281594	1.206948173	1.542508024	0.3928679438
35	65	1.16979492369256	1.126796373	1.595157990	0.4174190261
30	65	1.17504543591180	1.044777891	1.643582986	0.4399999723
25	65	1.18352156255401	0.9607231919	1.688024074	0.4607231919
20	65	1.19515549822944	0.8744007606	1.728657636	0.4796709331
15	65	1.20992030643378	0.7855238556	1.765589536	0.4968925610
10	65	1.22782862907978	0.6937565235	1.798847849	0.5124011672
5	65	1.24893610357828	0.5987203637	1.828378921	0.5261717321
0	65	1.27333464979704	0.5000000000	1.854033109	0.5381344763
-5	65	1.30115693795372	0.3971519153	1.875558988	0.5481721585
-10	65	1.33256687886542	0.2897153400	1.892583569	0.5561108513
-15	65	1.36776031453190	0.1772281642	1.904600891	0.5617146203
-20	65	1.40695218827985	0.05925068309	1.910948796	0.5646746971
-25	65	1.45037200181345	-0.06460316339	1.910795391	0.5646031634
-30	65	1.49824114017200	-0.1946187979	1.903115050	0.5610217614
-35	65	1.55076287240988	-0.3309255952	1.886684733	0.5533601786
-40	65	1.60808482678972	-0.4734166805	1.860072826	0.5409508428
-45	65	1.67027430588654	-0.6216609084	1.821660908	0.5230390714

45	70	1.16133628854383	1.295272730	1.495272730	0.2894556018
40	70	1.15846048920416	1.217285246	1.554827268	0.3111316811
35	70	1.15917900833705	1.137161437	1.609960837	0.3311986589
30	70	1.16339092971090	1.054787353	1.660919882	0.3497462346
25	70	1.17102754116620	0.9699872730	1.707890959	0.3668423086
20	70	1.18205360737978	0.8825309603	1.750995176	0.3825309603
15	70	1.19646826634319	0.7921403226	1.790282527	0.3968303867
10	70	1.21430278705954	0.6984953504	1.825723072	0.4097296903
5	70	1.23562459772314	0.6012421613	1.857203199	0.4211875196
0	70	1.26052934786459	0.5000000000	1.884510126	0.4311264282
-5	70	1.28914504797107	0.3943725860	1.907326867	0.4394310425
-10	70	1.32162092558022	0.2839619479	1.925212677	0.4459409452
-15	70	1.35812749757823	0.1683875231	1.937594612	0.4504476009
-20	70	1.39884071741945	0.04731335394	1.943746338	0.4526866461
-25	70	1.44393806061467	-0.07951883074	1.942782143	0.4523357078
-30	70	1.49357289962399	-0.2122415465	1.933638546	0.4490077105
-35	70	1.54786571463266	-0.3508093543	1.915081683	0.4422535650
-40	70	1.60687179415577	-0.4949285627	1.885709689	0.4315630332
-45	70	1.67055668078492	-0.6439823116	1.843982312	0.4163755099

45	75	1.15529967997291	1.302640514	1.502640514	0.2150668775
40	75	1.15140131795314	1.224991371	1.564011071	0.2315110688
35	75	1.15117127241179	1.144932206	1.621058645	0.2467969201
30	75	1.15454765692726	1.062332220	1.673987975	0.2609792914
25	75	1.16149642561271	0.9770057420	1.722942115	0.2740965135
20	75	1.17201198833955	0.8887190189	1.767996727	0.2861688605
15	75	1.18611807851199	0.7971970753	1.809154585	0.2971970753
10	75	1.20386416003979	0.7021298975	1.846335613	0.3071597018
5	75	1.22532984767232	0.6031818526	1.879373972	0.3160123033
0	75	1.25061562316145	0.5000000000	1.908001929	0.3236831414
-5	75	1.27984621363950	0.3922274655	1.931845707	0.3300720623
-10	75	1.31315819797377	0.2795195332	1.950406863	0.3350455092
-15	75	1.35069957054227	0.1615649241	1.963056898	0.3384350759
-20	75	1.39261180031316	0.03811505509	1.969018457	0.3400324706
-25	75	1.43902664999184	-0.09098242555	1.967365901	0.3395896698
-30	75	1.49003943520300	-0.2257363333	1.957012202	0.3368154044
-35	75	1.54570132337874	-0.3659637266	1.936724370	0.3313792962
-40	75	1.60599417706975	-0.5112303179	1.905137364	0.3229155835
-45	75	1.67080510577113	-0.6607861508	1.860786151	0.3110317117

45	80	1.15112809497141	1.307716474	1.507716474	0.1424222072
40	80	1.14649903546418	1.230323092	1.570365169	0.1534688624
35	80	1.14558367919120	1.150331052	1.628768996	0.1637670328
30	80	1.14834934843596	1.067595104	1.683103558	0.1733476821
25	80	1.15478860841931	0.9819198843	1.733480527	0.1822305010
20	80	1.16491929103413	0.8930667256	1.779941953	0.1904229039
15	80	1.17878510058352	0.8007609097	1.822454996	0.1979191004
10	80	1.19645091097698	0.7046982376	1.860901393	0.2046982376
5	80	1.21800672872172	0.6045555036	1.895074875	0.2107239444
0	80	1.24355756095689	0.5000000000	1.924665127	0.2159415043
-5	80	1.27322602888858	0.3907043898	1.949254542	0.2202772814
-10	80	1.30713899083780	0.2763643746	1.968300657	0.2236356254
-15	80	1.34542675806443	0.1567213349	1.981133419	0.2258983877
-20	80	1.38820381552594	0.03159267565	1.986938547	0.2269219883
-25	80	1.43556630075813	-0.09909488242	1.984763121	0.2265384021
-30	80	1.48756523337006	-0.2352594784	1.973506773	0.2245536043
-35	80	1.54419995867072	-0.3766196674	1.951942631	0.2207512641
-40	80	1.60539914539209	-0.5226437459	1.918739358	0.2148966313
-45	80	1.67099487294207	-0.6724933944	1.872493394	0.2067422201

45	85	1.14867933490769	1.310689121	1.510689121	0.07092610773
40	85	1.14361221963726	1.233454379	1.574096891	0.07647356883
35	85	1.14228315887322	1.153510608	1.633309873	0.08165403342
30	85	1.14467744246014	1.070702948	1.688486503	0.08648136303
25	85	1.15080430508877	0.9848292020	1.739719579	0.09096367641
20	85	1.16069649840815	0.8956467685	1.787030562	0.09510285112
15	85	1.17441062710410	0.8028802473	1.830364471	0.09889407691
10	85	1.19202164652789	0.7062283379	1.869579023	0.1023249057
5	85	1.21362652420467	0.6053750573	1.904442417	0.1053750573
0	85	1.23933353956154	0.5000000000	1.934617501	0.1080150352
-5	85	1.26926419159387	0.3897941135	1.959659046	0.1102058865
-10	85	1.30353924738702	0.2744783132	1.978997042	0.1118977419
-15	85	1.34227776809875	0.1538268533	1.991935772	0.1130297340
-20	85	1.38557708954006	0.02769815477	1.997638655	0.1135286717
-25	85	1.43351072516825	-0.1039322741	1.995136941	0.1133098001
-30	85	1.48610198512878	-0.2409273154	1.983323755	0.1122762802
-35	85	1.54331824636751	-0.3829464378	1.960978195	0.1103212970
-40	85	1.60505598311707	-0.5294008052	1.926792108	0.1073304019
-45	85	1.67111464823002	-0.6794017913	1.879401791	0.1031842865

45	90	1.14787160764667	1.311667798	1.511667798	0.000000000
40	90	1.14265847651551	1.234486711	1.575327176	0.000000000
35	90	1.14119102848906	1.154560283	1.634808964	0.000000000
30	90	1.14346061136405	1.071730306	1.690265938	0.000000000
25	90	1.14948212990888	0.9857921396	1.741784605	0.000000000
20	90	1.15929345312731	0.8965017130	1.789379503	0.000000000
15	90	1.17295564714801	0.8035832605	1.832988153	0.000000000
10	90	1.19054719811163	0.7067363514	1.872460111	0.000000000
5	90	1.21216751326334	0.6056473600	1.907554850	0.000000000
0	90	1.23792604350221	0.5000000000	1.937926044	0.000000000
-5	90	1.26794393970361	0.3894914042	1.963119030	0.000000000
-10	90	1.30233989691634	0.2738510502	1.982554428	0.000000000
-15	90	1.34122912442596	0.1528643588	1.995527850	0.000000000
-20	90	1.38470309435081	0.02640364921	2.001195280	0.000000000
-25	90	1.43282750889670	-0.1055390712	1.998582729	0.000000000
-30	90	1.48561631227979	-0.2428081561	1.986581467	0.000000000
-35	90	1.54302607246401	-0.3850433958	1.963972962	0.000000000
-40	90	1.60494249396599	-0.5316371494	1.929457279	0.000000000
-45	90	1.67115422461944	-0.6816844846	1.881684485	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	1.67115421894342	-0.6816844806	1.881684481	1.447146117e-16
-90	40	1.74135486982235	-0.8339552215	1.819321334	1.633623992e-16
-90	35	1.81513250535140	-0.9868695024	1.741117234	1.820889977e-16
-90	30	1.89195390559691	-1.138480145	1.645976953	2.006559465e-16
-90	25	1.97118124345524	-1.286496911	1.533057191	2.187827723e-16
-90	20	2.05207999224379	-1.428324426	1.401852693	2.361516336e-16
-90	15	2.13381772266658	-1.561109647	1.252272665	2.524131332e-16
-90	10	2.21549382891980	-1.681835499	1.084716466	2.671977861e-16
-90	5	2.29616185366337	-1.787424265	0.9001236918	2.801286804e-16
-90	-2.84217e-14	2.37484646403477	-1.874846464	0.7000000000	2.908348121e-16
-90	-5	2.45055878777484	-1.941233672	0.4864197287	2.989649002e-16
-90	-10	2.52233011298313	-1.984010251	0.2620019724	3.042035203e-16
-90	-15	2.58923305160235	-2.001007075	0.02985717404	3.062850309e-16
-90	-20	2.65039157882439	-1.990553409	-0.2064873077	3.050048260e-16
-90	-25	2.70499536976806	-1.951558368	-0.4431804412	3.002293108e-16
-90	-30	2.75231508388085	-1.883574782	-0.6761575419	2.919037227e-16
-90	-35	2.79172120807295	-1.786844135	-0.9012655018	2.800576350e-16
-90	-40	2.82269177729851	-1.662307351	-1.114391300	2.648062776e-16
-90	-45	2.84481350266915	-1.511586919	-1.311586919	2.463483481e-16

-85	45	1.67111463927320	-0.6794017850	1.879401785	0.1031842859
-85	40	1.74113116431654	-0.8307984230	1.816672466	0.1164297754
-85	35	1.81465488371665	-0.9826755568	1.738180602	0.1297173029
-85	30	1.89115192776699	-1.133104738	1.642873460	0.1428781509
-85	25	1.96999083030769	-1.279831747	1.529949174	0.1557151008
-85	20	2.05044792724401	-1.420312129	1.398936455	0.1680055417
-85	15	2.13170700025433	-1.551757538	1.249766775	0.1795055249
-85	10	2.21289089698351	-1.671227999	1.082846077	0.1899578358
-85	5	2.29307715664089	-1.775724316	0.8991000790	0.1991000790
-85	-2.84217e-14	2.37131872777304	-1.862295144	0.7000000000	0.2066740450
-85	-5	2.44665334998100	-1.928138323	0.4875654233	0.2124345767
-85	-10	2.51813519404646	-1.970725351	0.2643444587	0.2161604589
-85	-15	2.58485442147902	-1.987909709	0.03336660252	0.2176638955
-85	-20	2.64594750935492	-1.978017133	-0.2019244764	0.2167984072
-85	-25	2.70061073767127	-1.939926447	-0.4377563876	0.2134659040
-85	-30	2.74811223149036	-1.873133031	-0.6701289942	0.2076222372
-85	-35	2.78781198888795	-1.777799889	-0.8949326529	0.1992816681
-85	-40	2.81917051430754	-1.654776017	-1.108071761	0.1885184739
-85	-45	2.84175065567865	-1.505587000	-1.305587000	0.1754661262

-80	45	1.67099484675140	-0.6724933760	1.872493376	0.2067422169
-80	40	1.74045687715282	-0.8212684854	1.808675899	0.2329752827
-80	35	1.81321875300441	-0.9700465719	1.729337691	0.2592088735
-80	30	1.88874657751271	-1.116958709	1.633551546	0.2851134471
-80	25	1.96642866233730	-1.259859524	1.520635973	0.3103107163
-80	20	2.04557372235727	-1.396355308	1.390216886	0.3343786057
-80	15	2.12541496239490	-1.523848657	1.242288613	0.3568591232
-80	10	2.20514207183163	-1.639621844	1.077273060	0.3772730596
-80	5	2.28390229865896	-1.740902443	0.8960535599	0.3951315619
-80	-2.84217e-14	2.36082821796501	-1.824961933	0.7000000000	0.4099535178
-80	-5	2.43503607725474	-1.889190772	0.4909728925	0.4212787951
-80	-10	2.50564783533641	-1.931198837	0.2713140495	0.4286859505
-80	-15	2.57180705492300	-1.948909200	0.04381675750	0.4318087653
-80	-20	2.63268768520882	-1.940641083	-0.1883207067	0.4303508732
-80	-25	2.68750483479575	-1.905188181	-0.4215576683	0.4240995701
-80	-30	2.73552385170685	-1.841885973	-0.6520884969	0.4129376828
-80	-35	2.77607625131501	-1.750672386	-0.8759377705	0.3968542663
-80	-40	2.80857108629640	-1.632127784	-1.089067637	0.3759516547
-80	-45	2.83250579951460	-1.487495230	-1.287495230	0.3504490331

-75	45	1.67080505412139	-0.6607861149	1.860786115	0.3110317021
-75	40	1.73933882820206	-0.8051991352	1.795192113	0.3497270542
-75	35	1.81083303469611	-0.9488577516	1.714501119	0.3882202645
-75	30	1.88475931095898	-1.090001846	1.617987994	0.4260397105
-75	25	1.96054025970223	-1.226668421	1.505158708	0.4626594090
-75	20	2.03753759459793	-1.356707528	1.375786274	0.4975032827
-75	15	2.11507105360546	-1.477830706	1.229958140	0.5299581404
-75	10	2.19242896226076	-1.587660288	1.068110835	0.5593868882
-75	5	2.26887157156968	-1.683777765	0.8910557981	0.5851414887
-75	-2.84217e-14	2.34365084847216	-1.763792882	0.7000000000	0.6065814747
-75	-5	2.41600505040570	-1.825393017	0.4965544727	0.6230871811
-75	-10	2.48516443962606	-1.866406939	0.2827386094	0.6340768282
-75	-15	2.55036101588030	-1.884876063	0.06097438478	0.6390256152
-75	-20	2.61083259414375	-1.879122989	-0.1659299516	0.6374840836
-75	-25	2.66582842223911	-1.847823122	-0.3948079016	0.6290973094
-75	-30	2.71461727447909	-1.790078341	-0.6221773468	0.6136246421
-75	-35	2.75649459739898	-1.705486916	-0.8442985639	0.5909584380
-75	-40	2.79079599815204	-1.594212159	-1.057252651	0.5611424569
-75	-45	2.81692114768666	-1.457046363	-1.257046363	0.5243889926

-70	45	1.67055657976015	-0.6439822424	1.843982242	0.4163754848
-70	40	1.73778279070758	-0.7823088312	1.775984867	0.4667222457
-70	35	1.80751131414727	-0.9189046696	1.693527746	0.5164390650
-70	30	1.87923039013669	-1.052178033	1.596150405	0.5649466024
-70	25	1.95240874565753	-1.180417458	1.483591529	0.6116219358
-70	20	2.02648481471241	-1.301801332	1.355802053	0.6558020528
-70	15	2.10089402246073	-1.414441116	1.212972951	0.6967995816
-70	10	2.17504913485721	-1.516385880	1.055543234	0.7339044413
-70	5	2.24836193745351	-1.605665129	0.8842218279	0.7663994301
-70	-2.84217e-14	2.32022918831490	-1.680302247	0.7000000000	0.7935651195
-70	-5	2.39004019853651	-1.738351494	0.5041696193	0.8146933176
-70	-10	2.45716610084370	-1.777923267	0.2983406680	0.8290962652
-70	-15	2.52095835299042	-1.797225025	0.08446040967	0.8361215306
-70	-20	2.58074645448246	-1.794610039	-0.1351697533	0.8351697533
-70	-25	2.63583734415171	-1.768637189	-0.3578828950	0.8257164093
-70	-30	2.68551561843069	-1.718141199	-0.5806444183	0.8073373718
-70	-35	2.72904768504117	-1.642314946	-0.8000650746	0.7797388729
-70	-40	2.76569771831128	-1.540806611	-1.012440075	0.7427928605
-70	-45	2.79474445018955	-1.413816067	-1.213816067	0.6965720822

-65	45	1.67027411903897	-0.6216607829	1.821660783	0.5230390129
-65	40	1.73580511817968	-0.7522102786	1.750729183	0.5839152425
-65	35	1.80327636969285	-0.8799147339	1.666226699	0.6434648080
-65	30	1.87221240328910	-1.003420817	1.568000413	0.7010566403
-65	25	1.94214502748255	-1.121335937	1.456041364	0.7560413638
-65	20	2.01261391455047	-1.232235407	1.330482127	0.8077546360
-65	15	2.08317946360713	-1.334678057	1.191600504	0.8555244284
-65	10	2.15340821863179	-1.427197276	1.039816877	0.8986668487
-65	5	2.22287260685907	-1.508303376	0.8757037783	0.9364872441
-65	-2.84217e-14	2.29114364307686	-1.576481325	0.7000000000	0.9682791438
-65	-5	2.35777415594485	-1.630183162	0.5136331221	0.9933207215
-65	-10	2.42229262659138	-1.667835950	0.3177520322	1.010878505
-65	-15	2.48419455992683	-1.687856269	0.1137656795	1.020214133
-65	-20	2.54292867644285	-1.688671686	-0.09661134645	1.020594369
-65	-25	2.59788760311371	-1.668761072	-0.3113098964	1.011309896
-65	-30	2.64840054016575	-1.626714093	-0.5278589542	0.9917030683
-65	-35	2.69373174590814	-1.561314720	-0.7433481057	0.9612068399
-65	-40	2.73308989855961	-1.471651787	-0.9544122874	0.9193963276
-65	-45	2.76563465874272	-1.357242414	-1.157242414	0.8660463606

-60	45	1.66999105488010	-0.5932657741	1.793265774	0.6311972890
-60	40	1.73342942938106	-0.7144110789	1.719011888	0.7011405633
-60	35	1.79816903553277	-0.8315665402	1.632372929	0.7687803004
-60	30	1.86378556602071	-0.9436820916	1.533510244	0.8335102442
-60	25	1.92989677825647	-1.049742425	1.422656761	0.8947442065
-60	20	1.99616614909702	-1.148762846	1.300100599	0.9519136733
-60	15	2.06228903156326	-1.239767697	1.166169350	1.004455348
-60	10	2.12799004179700	-1.321775389	1.021228154	1.051802511
-60	5	2.19300880257661	-1.393773321	0.8656836969	1.093370537
-60	-2.84217e-14	2.25708717113390	-1.454694829	0.7000000000	1.128543586
-60	-5	2.31995443909587	-1.503397258	0.5247254514	1.156661946
-60	-10	2.38130560207144	-1.538639211	0.3405329032	1.177008897
-60	-15	2.44079096325697	-1.559075721	0.1482723235	1.188807922
-60	-20	2.49800009806375	-1.563259992	-0.05096522253	1.191223712
-60	-25	2.55244338556625	-1.549658742	-0.2557715681	1.183371027
-60	-30	2.60353516236522	-1.516689665	-0.4643363210	1.164336321
-60	-35	2.65058086681795	-1.462788105	-0.6743590273	1.133216241
-60	-40	2.69277025101080	-1.386508888	-0.8829689123	1.089176414
-60	-45	2.72917760845983	-1.286666139	-1.086666139	1.031532177

-55	45	1.66976149010075	-0.5581066073	1.758106607	0.7408942226
-55	40	1.73069918206130	-0.6683307040	1.680345863	0.8180739661
-55	35	1.79224587854022	-0.7735067903	1.591719054	0.8917190545
-55	30	1.85405516191777	-0.8729509121	1.492673579	0.9613505782
-55	25	1.91585307819270	-0.9660614064	1.383635661	1.026547248
-55	20	1.97743020320416	-1.052291777	1.264988002	1.086926404
-55	15	2.03863152553568	-1.131120612	1.137057451	1.142122949
-55	10	2.09933370582481	-1.202011030	1.000110466	1.191760953
-55	5	2.15943031324271	-1.264376560	0.8543629472	1.235429768
-55	-2.84217e-14	2.21883026139031	-1.317559345	0.7000000000	1.272668754
-55	-5	2.27742399648498	-1.360784066	0.5372024890	1.302935030
-55	-10	2.33506982157337	-1.393131417	0.3661898532	1.325584889
-55	-15	2.39158022421191	-1.413516862	0.1872747021	1.339858931
-55	-20	2.44670298847834	-1.420673065	0.0009321746288	1.344869758
-55	-25	2.50009502969276	-1.413138788	-0.1921112678	1.339594201
-55	-30	2.55129615467192	-1.389266541	-0.3907685460	1.322878674
-55	-35	2.59970600491889	-1.347259514	-0.5934650365	1.293465036
-55	-40	2.64456127660360	-1.285245044	-0.7979984583	1.250042038
-55	-45	2.68491350791307	-1.201395522	-1.001395522	1.191329970

-50	45	1.66965967120813	-0.5153541111	1.715354111	0.8519832602
-50	40	1.72767925903209	-0.6133173396	1.634184169	0.9341841691
-50	35	1.78559368794962	-0.7053879450	1.544021726	1.011440580
-50	30	1.84315969009537	-0.7912862271	1.445524451	1.083517797
-50	25	1.90023213346572	-0.8708279716	1.339227581	1.150261245
-50	20	1.95673874459985	-0.9438762922	1.225527992	1.211556064
-50	15	2.01265757466603	-1.010297409	1.104682971	1.267289999
-50	10	2.06801023855148	-1.069930741	0.9768211476	1.317328306
-50	5	2.12283291973649	-1.122544447	0.8419542452	1.361476447
-50	-2.84217e-14	2.17717087638337	-1.167809652	0.7000000000	1.399458464
-50	-5	2.23105763087542	-1.205263818	0.5508087476	1.430886241
-50	-10	2.28450140944965	-1.234280094	0.3941996273	1.455233787
-50	-15	2.33747276588866	-1.254038594	0.2300067753	1.471813137
-50	-20	2.38988087233502	-1.263491597	0.05814155049	1.479745148
-50	-25	2.44154681332373	-1.261332527	-0.1213228460	1.477933474
-50	-30	2.49217594424471	-1.245975940	-0.3080396789	1.465047767
-50	-35	2.54132240838082	-1.215552321	-0.5012426673	1.439519320
-50	-40	2.58834646524926	-1.167931698	-0.6995608729	1.399560873
-50	-45	2.63237117926174	-1.100798621	-0.9007986208	1.343229532

-45	45	1.66979635701697	-0.4640573762	1.664057376	0.9640573762
-45	40	1.72446785413859	-0.5486840854	1.579950429	1.048684085
-45	35	1.77832960670837	-0.6269048411	1.489067265	1.126904841
-45	30	1.83127566559204	-0.6988513366	1.392157142	1.198851337
-45	25	1.88329392343491	-0.7647127274	1.289745230	1.264712727
-45	20	1.93444647135588	-0.8246916859	1.182148343	1.324691686
-45	15	1.98484061593887	-0.8789612508	1.069491554	1.378961251
-45	10	2.03461391629086	-0.9276353660	0.9517306336	1.427635366
-45	5	2.08391657690898	-0.9707398719	0.8286730658	1.470739872
-45	-2.84217e-14	2.13290660442569	-1.008192724	0.7000000000	1.508192724
-45	-5	2.18173601657663	-1.039776681	0.5652869961	1.539776681
-45	-10	2.23053797020587	-1.065110150	0.4240288528	1.565110150
-45	-15	2.27942065090208	-1.083619726	0.2756703734	1.583619726
-45	-20	2.32844500927832	-1.094498370	0.1196500548	1.594498370
-45	-25	2.37760383019955	-1.096663053	-0.04453620891	1.596663053
-45	-30	2.42679451021033	-1.088709934	-0.2172421082	1.588709934
-45	-35	2.47577862053095	-1.068869406	-0.3985341843	1.568869406
-45	-40	2.52412604856229	-1.034972548	-0.5879948992	1.534972548
-45	-45	2.57114427217198	-0.9844508377	-0.7844508377	1.484450838


### -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	2.84481351966060	-1.511586931	-1.311586931	2.463483496e-16
-40	-90	2.85779343448164	-1.336954211	-1.489196780	2.680992829e-16
-35	-90	2.86146623234026	-1.141269604	-1.643975914	2.870542600e-16
-30	-90	2.85578157780007	-0.9278907889	-1.773179394	3.028771229e-16
-25	-90	2.84082096551224	-0.7005828184	-1.874658163	3.153046878e-16
-20	-90	2.81677820401258	-0.4633948851	-1.946905693	3.241524584e-16
-15	-90	2.78397353329151	-0.2205453715	-1.989111936	3.293212324e-16
-10	-90	2.74284541500509	0.02370989206	-2.001175430	3.307985844e-16
-5	-90	2.69393279771258	0.2652082861	-1.983681570	3.286562045e-16
-2.84217e-14	-90	2.63787937398472	0.5000000000	-1.937879374	3.230470532e-16
5	-90	2.57542800117314	0.7244633403	-1.865627720	3.141987775e-16
10	-90	2.50740270686221	0.9354059107	-1.769309626	3.024032129e-16
15	-90	2.43469710701952	1.130145980	-1.651736815	2.880046963e-16
20	-90	2.35825575329336	1.306570971	-1.516035529	2.713860818e-16
25	-90	2.27905608225256	1.463170720	-1.365526274	2.529540141e-16
30	-90	2.19808384535149	1.599041923	-1.203596450	2.331233299e-16
35	-90	2.11630225857053	1.713861108	-1.033573321	2.123015019e-16
40	-90	2.03465940951484	1.807853858	-0.8586395343	1.908782917e-16
45	-90	1.95404303247374	1.881717079	-0.6817170790	1.692115398e-16

-45	-85	2.84175068275858	-1.505587019	-1.305587019	0.1754661279
-40	-85	2.85415824477247	-1.330511101	-1.481518181	0.1908581101
-35	-85	2.85729733759514	-1.134685854	-1.634573345	0.2042487018
-30	-85	2.85114745513707	-0.9214993661	-1.762109125	0.2154066368
-25	-85	2.83581668205489	-0.6947181054	-1.862081245	0.2241530640
-20	-85	2.81152002541896	-0.4583632018	-1.933081257	0.2303647601
-15	-85	2.77859090702135	-0.2165979953	-1.974380127	0.2339779431
-10	-85	2.73747255606290	0.02639751388	-1.985933169	0.2349887033
-5	-85	2.68870329977084	0.2665490506	-1.968356562	0.2334509494
-2.84217e-14	-85	2.63291859120071	0.5000000000	-1.922899541	0.2294739754
5	-85	2.57084463588214	0.7232176831	-1.851389793	0.2232176831
10	-85	2.50328346125760	0.9330860845	-1.756153237	0.2148855641
15	-85	2.43110164074805	1.126980589	-1.639923412	0.2047167720
20	-85	2.35521612102831	1.302822830	-1.505737597	0.1929770344
25	-85	2.27657439359716	1.459111590	-1.356821442	0.1799485591
30	-85	2.19613505590735	1.594929196	-1.196472998	0.1659198880
35	-85	2.11484119267034	1.709919925	-1.027944730	0.1511755751
40	-85	2.03362308504188	1.804261822	-0.8543587123	0.1359887664
45	-85	1.95335826447234	1.878597356	-0.6785973563	0.1206116402

-45	-80	2.83250586112890	-1.487495273	-1.287495273	0.3504490407
-40	-80	2.84321605165497	-1.311136577	-1.458428523	0.3805891845
-35	-80	2.84478089222310	-1.114940387	-1.606373895	0.4066759454
-30	-80	2.83726636743406	-0.9023768119	-1.728987890	0.4282961007
-25	-80	2.82085712230532	-0.6772086494	-1.824532095	0.4451431221
-20	-80	2.79582796918832	-0.4433674535	-1.891880777	0.4570185117
-15	-80	2.76254902792704	-0.2048500685	-1.930536267	0.4638345176
-10	-80	2.72147708284783	0.03438828333	-1.940615264	0.4656117167
-5	-80	2.67314578630658	0.2705332020	-1.922817503	0.4624734912
-2.84217e-14	-80	2.61816438118483	0.5000000000	-1.878388581	0.4546394736
5	-80	2.55721079390279	0.7195147663	-1.809065261	0.4424159018
10	-80	2.49102304879380	0.9261838269	-1.717008589	0.4261838269
15	-80	2.42038922685898	1.117549768	-1.604727112	0.4063855730
20	-80	2.34614517632870	1.291635617	-1.475000983	0.3835113564
25	-80	2.26915285424618	1.446969751	-1.330783185	0.3580818674
30	-80	2.19029303876671	1.582597039	-1.175113076	0.3306330272
35	-80	2.11044954288964	1.698071251	-1.011023069	0.3016995317
40	-80	2.03049956045546	1.793433899	-0.8414544962	0.2718000172
45	-80	1.95128854060849	1.869168129	-0.6691681294	0.2414212823

-45	-75	2.81692126216704	-1.457046443	-1.257046443	0.5243890139
-40	-75	2.82486468855905	-1.278704343	-1.419777291	0.5679926131
-35	-75	2.82389319934318	-1.082057957	-1.559412918	0.6054078668
-30	-75	2.81421157056945	-0.8706855926	-1.674097088	0.6361373974
-25	-75	2.79611328816623	-0.6483135584	-1.762566373	0.6598426709
-20	-75	2.76996206185261	-0.4187081239	-1.824129825	0.6763385483
-15	-75	2.73617908834350	-0.1855847131	-1.858636982	0.6855847131
-10	-75	2.69523832331399	0.04746701146	-1.866442111	0.6876760910
-5	-75	2.64765994162521	0.2770474144	-1.848359715	0.6828309276
-2.84217e-14	-75	2.59400638664669	0.5000000000	-1.805617762	0.6713782560
5	-75	2.53487957254888	0.7134556429	-1.739809162	0.6537448947
10	-75	2.47091473951772	0.9148688529	-1.652838183	0.6304410911
15	-75	2.40278316299130	1.102048094	-1.546874076	0.6020480941
20	-75	2.33119081081368	1.273181686	-1.424299222	0.5692042611
25	-75	2.25687302164319	1.426857256	-1.287651800	0.5325896947
30	-75	2.18058785884027	1.562073795	-1.139565774	0.4929101635
35	-75	2.10312138069739	1.678252746	-0.9827193102	0.4508832803
40	-75	2.02526448166814	1.775228064	-0.8197576270	0.4072178288
45	-75	1.94780459255592	1.853230600	-0.6532305998	0.3625970464

-45	-70	2.79474451002489	-1.413816108	-1.213816108	0.6965720971
-40	-70	2.79894697936124	-1.233027056	-1.365341220	0.7517227278
-35	-70	2.79461413903005	-1.036104734	-1.493784913	0.7984724088
-30	-70	2.78211608771837	-0.8267103771	-1.597929780	0.8363780404
-25	-70	2.76187568203202	-0.6084678835	-1.677117047	0.8651998486
-20	-70	2.73435398917409	-0.3848795443	-1.731186567	0.8848795443
-15	-70	2.70002534584341	-0.1592621783	-1.760399945	0.8955123444
-10	-70	2.65937457347761	0.06528676904	-1.765381243	0.8973253887
-5	-70	2.61289219263144	0.2859100139	-1.747059738	0.8906569063
-2.84217e-14	-70	2.56107274696591	0.5000000000	-1.706621162	0.8759384680
5	-70	2.50441612379019	0.7052018888	-1.645468321	0.8536806544
10	-70	2.44343156512362	0.8994142235	-1.565190624	0.8244619622
15	-70	2.37864473333601	1.080791032	-1.467541642	0.7889206392
20	-70	2.31060119558547	1.247746539	-1.354416732	0.7477465394
25	-70	2.23987933112862	1.398966712	-1.227840336	0.7016764986
30	-70	2.16708086434505	1.533417938	-1.089932374	0.6514821055
35	-70	2.09285673431131	1.650372458	-0.9429021329	0.5979674742
40	-70	2.01787960420293	1.749412717	-0.7889920941	0.5419488013
45	-70	1.94285292371248	1.830448350	-0.6304483495	0.4842435975

-45	-65	2.76563457695274	-1.357242359	-1.157242359	0.8660463350
-40	-65	2.76527038849010	-1.173891997	-1.294866801	0.9302216664
-35	-65	2.75693884161243	-0.9772155619	-1.409682460	0.9837610875
-30	-65	2.74117941768675	-0.7708733600	-1.501217229	1.026444451
-25	-65	2.71855216061953	-0.5582823909	-1.569493911	1.058282391
-20	-65	2.68959749050130	-0.3425575983	-1.614907976	1.079459317
-15	-65	2.65482523952595	-0.1265007160	-1.638132503	1.090289092
-10	-65	2.61471161977043	0.08738750552	-1.640041739	1.091179383
-5	-65	2.56969609287409	0.2968820565	-1.621648718	1.082602577
-2.84217e-14	-65	2.52018609089835	0.5000000000	-1.584064279	1.065076665
5	-65	2.46656556569322	0.6949661389	-1.528473165	1.039154103
10	-65	2.40920296616257	0.8801823643	-1.456121331	1.005415888
15	-65	2.34846208841550	1.054203402	-1.368315254	0.9644712426
20	-65	2.28472176747331	1.215724078	-1.266435744	0.9169640467
25	-65	2.21837814609960	1.363573840	-1.151940076	0.8635738399
30	-65	2.14986345358000	1.496725779	-1.026379691	0.8050240706
35	-65	2.07965728558462	1.614316378	-0.8914087148	0.7420860710
40	-65	2.00829277320004	1.715673236	-0.7487829462	0.6755785828
45	-65	1.93636552786459	1.800352588	-0.6003525883	0.6063643702

-45	-60	2.72917775066249	-1.286666232	-1.086666232	1.031532230
-40	-60	2.72363380212729	-1.101112325	-1.208131366	1.101660158
-35	-60	2.71090441336309	-0.9056375338	-1.307458442	1.159006672
-30	-60	2.69170165145147	-0.7037655736	-1.384983134	1.203765574
-25	-60	2.66668059881392	-0.4985481018	-1.441393315	1.236334007
-20	-60	2.63643398464003	-0.2925821282	-1.477601500	1.257238812
-15	-60	2.60147335344080	-0.08804906701	-1.494628995	1.267069641
-10	-60	2.56223387422349	0.1132210955	-1.493532170	1.266436389
-5	-60	2.51908120372964	0.3096812534	-1.475353227	1.255940771
-2.84217e-14	-60	2.47232126927720	0.5000000000	-1.441093026	1.236160635
5	-60	2.42221256673860	0.6830002379	-1.391702291	1.207644881
10	-60	2.36898021942009	0.8576065336	-1.328087433	1.170916825
15	-60	2.31283577461290	1.022804094	-1.251131441	1.126486263
20	-60	2.25398429811588	1.177607587	-1.161711546	1.074859662
25	-60	2.19264157698749	1.321042492	-1.060731306	1.016558694
30	-60	2.12905984611263	1.452144509	-0.9491626654	0.9521445088
35	-60	2.06354176309790	1.569971977	-0.8280783463	0.8822364446
40	-60	1.99645755329006	1.673635308	-0.6986840942	0.8075306383
45	-60	1.92825998479713	1.762342477	-0.5623424771	0.7288137690

-45	-55	2.68491360027035	-1.201395581	-1.001395581	1.191330011
-40	-55	2.67385100210900	-1.014589476	-1.105017450	1.263886825
-35	-55	2.65663366088419	-0.8217889825	-1.187710301	1.321788983
-30	-55	2.63409127657226	-0.6261663631	-1.250577359	1.365808970
-25	-55	2.60693510371892	-0.4302351122	-1.294895636	1.396840962
-20	-55	2.57574916560841	-0.2359386801	-1.321974906	1.415802071
-15	-55	2.54099980928658	-0.04475901374	-1.333068317	1.423569761
-10	-55	2.50304892562433	0.1421763831	-1.329318573	1.420944162
-5	-55	2.46216739034912	0.3239964436	-1.311729855	1.408628409
-2.84217e-14	-55	2.41855033195703	0.5000000000	-1.281160449	1.387223481
5	-55	2.37233424130322	0.6695819972	-1.238331097	1.357234046
10	-55	2.32361257045686	0.8321722743	-1.183842580	1.319080775
15	-55	2.27244987265035	0.9871852201	-1.118199994	1.273117342
20	-55	2.21889490379546	1.133978886	-1.041842674	1.219651371
25	-55	2.16300040904961	1.271825476	-0.9551850754	1.158973067
30	-55	2.10484798439163	1.399896302	-0.8586661170	1.091389765
35	-55	2.04456035536777	1.517256309	-0.7527925698	1.017256309
40	-55	1.98233182203158	1.622881908	-0.6381985485	0.9370167113
45	-55	1.91844996409460	1.715697328	-0.5156973285	0.8512404336

-45	-50	2.63237089399791	-1.100798447	-0.9007984474	1.343229387
-40	-50	2.61579856009413	-0.9144046654	-0.9856218414	1.414404665
-35	-50	2.59435027824199	-0.7263080976	-1.051349465	1.469556690
-30	-50	2.56889770817931	-0.5390722320	-1.099725899	1.510149338
-25	-50	2.54012244525788	-0.3544831434	-1.132445014	1.537603936
-20	-50	2.50853955125527	-0.1737270152	-1.151049761	1.553215172
-15	-50	2.47452396807268	0.002450032181	-1.156881759	1.558108799
-10	-50	2.43833490942328	0.1736076760	-1.151062853	1.553226157
-5	-50	2.40013362568120	0.3395026034	-1.134493638	1.539322935
-2.84217e-14	-50	2.36000246245744	0.5000000000	-1.107866772	1.516980342
5	-50	2.31796443918471	0.6550027274	-1.071689281	1.486623822
10	-50	2.27399815017070	0.8043944202	-1.026306541	1.448543182
15	-50	2.22804516568804	0.9479907307	-0.9719241681	1.402910953
20	-50	2.18002335315022	1.085496300	-0.9086378648	1.349807439
25	-50	2.12985286103290	1.216470724	-0.8364764262	1.289256803
30	-50	2.07745978938824	1.340294564	-0.7554328785	1.221253192
35	-50	2.02280134050444	1.456146009	-0.6655180165	1.145805664
40	-50	1.96589868579459	1.562993273	-0.5668260520	1.062993273
45	-50	1.90685714316616	1.659598733	-0.4595987332	0.9730188694

-45	-45	2.57114431612814	-0.9844508630	-0.7844508630	1.484450863
-40	-45	2.54948339099359	-0.8009340818	-0.8503928657	1.550392866
-35	-45	2.52443901150841	-0.6201254132	-0.8997048761	1.599704876
-30	-45	2.49680995181268	-0.4437054576	-0.9345458000	1.634545800
-25	-45	2.46716376957343	-0.2725815110	-0.9568063971	1.656806397
-20	-45	2.43588586853954	-0.1071288884	-0.9680729117	1.668072912
-15	-45	2.40321915860653	0.05262444082	-0.9696283169	1.669628317
-10	-45	2.36929673965276	0.2068610586	-0.9624735489	1.662473549
-5	-45	2.33416647582515	0.3558750577	-0.9473556292	1.647355629
-2.84217e-14	-45	2.29780506351492	0.5000000000	-0.9247935423	1.624793542
5	-45	2.26013812565242	0.6395540037	-0.8951095616	1.595109562
10	-45	2.22105252385002	0.7747975696	-0.8584544603	1.558454460
15	-45	2.18039690957389	0.9058956850	-0.8148233191	1.514823319
20	-45	2.13799509302172	1.032881528	-0.7640799662	1.464079966
25	-45	2.09365770778828	1.155619726	-0.7059810404	1.405981040
30	-45	2.04719018904365	1.273765161	-0.6402005719	1.340200572
35	-45	1.99841465767977	1.386721776	-0.5663699372	1.266369937
40	-45	1.94718322473589	1.493596204	-0.4841218462	1.184121846
45	-45	1.89342278307657	1.593168153	-0.3931681535	1.093168153