path: root/test/Kerr-selection-areal-radius-definition-expansion-product-EE/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	2.57133705383218	-0.9845621402	-0.7845621402	1.484562140
-40	-45	2.54971682861270	-0.8010531988	-0.8505348239	1.550534824
-35	-45	2.52470475191508	-0.6202433256	-0.8998732725	1.599873272
-30	-45	2.49709949715920	-0.4438148955	-0.9347353519	1.634735352
-25	-45	2.46746928293399	-0.2726771812	-0.9570115624	1.657011562
-20	-45	2.43620019725685	-0.1072072328	-0.9682881612	1.668288161
-15	-45	2.40353576587787	0.05256550223	-0.9698482787	1.669848279
-10	-45	2.36960956597756	0.2068223545	-0.9626930509	1.662693051
-5	-45	2.33447008965557	0.3558563108	-0.9475699069	1.647569907
0	-45	2.29809444065592	0.5000000000	-0.9249981628	1.624998163
5	-45	2.26040864806137	0.6395707073	-0.8953004848	1.595300485
10	-45	2.22129992874423	0.7748281795	-0.8586280578	1.558628058
15	-45	2.18061727016213	0.9059367066	-0.8149764139	1.514976414
20	-45	2.13818492381227	1.032928842	-0.7642099606	1.464209961
25	-45	2.09381355924952	1.155668531	-0.7060857013	1.406085701
30	-45	2.04730920266339	1.273810144	-0.6402784846	1.340278485
35	-45	1.99849461364543	1.386757254	-0.5664206043	1.266420604
40	-45	1.94722170205382	1.493615838	-0.4841452450	1.184145245
45	-45	1.89341880962037	1.593165859	-0.3931658594	1.093165859

-45	-40	2.52435037090601	-1.035108963	-0.5881093650	1.535108963
-40	-40	2.50124083945819	-0.8524614497	-0.6524614497	1.611800791
-35	-40	2.47458726995842	-0.6696980292	-0.7017175356	1.670501909
-30	-40	2.44516404433701	-0.4890242235	-0.7374114042	1.713040205
-25	-40	2.41355454830582	-0.3119064028	-0.7609890085	1.741138900
-20	-40	2.38018037784897	-0.1392531547	-0.7737388825	1.756333608
-15	-40	2.34533162066049	0.02842660348	-0.7767615439	1.759935875
-10	-40	2.30919431324764	0.1908942674	-0.7709632363	1.753025721
-5	-40	2.27187136050900	0.3480795257	-0.7570620792	1.736458967
0	-40	2.23339760033816	0.5000000000	-0.7356003050	1.710881821
5	-40	2.19376149437016	0.6466972526	-0.7069664065	1.676757270
10	-40	2.15291832795796	0.7881868334	-0.6714149966	1.634388749
15	-40	2.11079540724723	0.9244154433	-0.6290834682	1.583939998
20	-40	2.06730632909772	1.055223505	-0.5800163162	1.525464043
25	-40	2.02236263684483	1.180311607	-0.5241900999	1.458932950
30	-40	1.97588474404206	1.299209312	-0.4615413989	1.384271135
35	-40	1.92782743555529	1.411253355	-0.3920081724	1.301404663
40	-40	1.87818653228520	1.515565890	-0.3155658904	1.210304298
45	-40	1.82703414274159	1.611056738	-0.2322872992	1.111056738

-45	-35	2.47602534858721	-1.069025754	-0.3986436606	1.569025754
-40	-35	2.45088548164052	-0.8882917766	-0.4584945710	1.654501712
-35	-35	2.42219741542671	-0.7051469137	-0.5051469137	1.721128163
-30	-35	2.39070436977375	-0.5221099281	-0.5396098430	1.770346326
-25	-35	2.35699337916316	-0.3410481708	-0.5629178589	1.803633623
-20	-35	2.32151214286532	-0.1632985094	-0.5760565911	1.822397677
-15	-35	2.28459062485593	0.01021195238	-0.5799190770	1.827913879
-10	-35	2.24646306678852	0.1788566410	-0.5752841336	1.821294493
-5	-35	2.20728382127844	0.3422163318	-0.5628071960	1.803475580
0	-35	2.16714572888576	0.5000000000	-0.5430237242	1.775221854
5	-35	2.12609916042985	0.6519803304	-0.5163607115	1.737143126
10	-35	2.08416558150516	0.7979421053	-0.4831502317	1.689713645
15	-35	2.04134469006941	0.9376391198	-0.4436429718	1.633291431
20	-35	1.99762839499561	1.070758995	-0.3980286654	1.568147450
25	-35	1.95301517249760	1.196896246	-0.3464593417	1.494498823
30	-35	1.90751344751759	1.315528870	-0.2890693618	1.412537438
35	-35	1.86116922900025	1.426011372	-0.2260113721	1.322481295
40	-35	1.81407050007668	1.527571127	-0.1574822616	1.224611583
45	-35	1.76636388939772	1.619322318	-0.08375792500	1.119322318

-45	-30	2.42705532500984	-1.088880678	-0.2173406869	1.588880678
-40	-30	2.39943254556047	-0.9105277364	-0.2705266670	1.681001497
-35	-30	2.36837495641259	-0.7280317655	-0.3125633211	1.753811118
-30	-30	2.33459714509056	-0.5440635833	-0.3440635833	1.808371173
-25	-30	2.29868663309850	-0.3607514432	-0.3657236028	1.845887427
-20	-30	2.26111258571082	-0.1797505402	-0.3782589355	1.867599260
-15	-30	2.22224134516834	-0.002325710149	-0.3823614781	1.874705072
-10	-30	2.18235108847101	0.1705658403	-0.3786715682	1.868313961
-5	-30	2.14164452138605	0.3381969187	-0.3677617968	1.849417682
0	-30	2.10026780645982	0.5000000000	-0.3501339032	1.818885275
5	-30	2.05832785632489	0.6555084358	-0.3262225259	1.777469555
10	-30	2.01590483594785	0.8043084677	-0.2964021106	1.725819080
15	-30	1.97305814793540	0.9459991879	-0.2609946903	1.664491629
20	-30	1.92984019163468	1.080161254	-0.2202847501	1.593979945
25	-30	1.88631268482410	1.206336541	-0.1745376258	1.514743601
30	-30	1.84254234650873	1.324009988	-0.1240099876	1.427227165
35	-30	1.79862551920448	1.432609622	-0.06897546322	1.331904572
40	-30	1.75469156837492	1.531511026	-0.009740710412	1.229306971
45	-30	1.71091075312788	1.620054005	0.05333651883	1.120054005

-45	-25	2.37787118534515	-1.096842593	-0.04461993001	1.596842593
-40	-25	2.34742207401079	-0.9209572561	-0.08965980417	1.693430915
-35	-25	2.31374518879850	-0.7397447297	-0.1256158783	1.770538965
-30	-25	2.27753400527249	-0.5559167616	-0.1528307660	1.828901480
-25	-25	2.23937767395815	-0.3717485701	-0.1717485701	1.869470842
-20	-25	2.19976598627311	-0.1891103791	-0.1828673799	1.893315206
-15	-25	2.15909778452896	-0.009516139784	-0.1867027207	1.901540121
-10	-25	2.11769004144935	0.1658196017	-0.1837608306	1.895231217
-5	-25	2.07578924977397	0.3359222148	-0.1745216203	1.875417667
0	-25	2.03358780821833	0.5000000000	-0.1594313446	1.843056466
5	-25	1.99123901404159	0.6573946331	-0.1389009478	1.799028888
10	-25	1.94886891166792	0.8075397137	-0.1133078848	1.744144387
15	-25	1.90657990608229	0.9499255388	-0.08299815879	1.679144970
20	-25	1.86446399695613	1.084071897	-0.04829525237	1.604724347
25	-25	1.82261856927752	1.209511910	-0.009511910448	1.521553202
30	-25	1.78113995970684	1.325777149	0.03304576237	1.430287978
35	-25	1.74014076812495	1.432397550	0.07906392824	1.331601703
40	-25	1.69975274823118	1.528905721	0.1282125753	1.226202089
45	-25	1.66013103521804	1.614849267	0.1801372493	1.114849267

-45	-20	2.32871224128211	-1.094681368	0.1195834490	1.594681368
-40	-20	2.29520564099906	-0.9211249819	0.08356879998	1.693630803
-35	-20	2.25875675903715	-0.7415620822	0.05463185233	1.773134413
-30	-20	2.22004614578167	-0.5586755428	0.03259512312	1.833679829
-25	-20	2.17966757756470	-0.3748009630	0.01718575521	1.876016719
-20	-20	2.13812948617748	-0.1919320076	0.008067992377	1.901067567
-15	-20	2.09585847526657	-0.01174342715	0.004870548877	1.909852471
-10	-20	2.05320420934763	0.1643740808	0.007208437771	1.903429174
-5	-20	2.01044877707701	0.3352718295	0.01469806024	1.882851605
0	-20	1.96782044234031	0.5000000000	0.02696577027	1.849146349
5	-20	1.92550627101736	0.6577683197	0.04365242348	1.803300146
10	-20	1.88366219204287	0.8079118247	0.06441525553	1.746254734
15	-20	1.84241521242628	0.9498604682	0.08892960070	1.678902124
20	-20	1.80187609701772	1.083115173	0.1168848270	1.602095771
25	-20	1.76215339742669	1.207233298	0.1479784653	1.516666702
30	-20	1.72334533055256	1.321813347	0.1819165897	1.423422471
35	-20	1.68555748565603	1.426493857	0.2184053759	1.323170355
40	-20	1.64889936794589	1.520950821	0.2571494780	1.216721809
45	-20	1.61348886391642	1.604902780	0.2978482764	1.104902780

-45	-15	2.27968192151790	-1.083801243	0.2756217361	1.583801243
-40	-15	2.24299346242137	-0.9123232976	0.2490036308	1.683141364
-35	-15	2.20371878767119	-0.7346114381	0.2275498766	1.763207864
-30	-15	2.16253177942071	-0.5532794281	0.2111713162	1.824333484
-25	-15	2.12003222691471	-0.3706591971	0.1997027720	1.867134674
-20	-15	2.07674312421618	-0.1887894985	0.1929239468	1.892433594
-15	-15	2.03311149212126	-0.009422122584	0.1905778774	1.901189244
-10	-15	1.98951076816459	0.1659593158	0.1923866375	1.894438859
-5	-15	1.94624699000766	0.3361115822	0.1980633213	1.873253187
0	-15	1.90357096332076	0.5000000000	0.2073195810	1.838708356
5	-15	1.86168867327237	0.6567679810	0.2198708929	1.791866222
10	-15	1.82076927405362	0.8057088325	0.2354401553	1.733760944
15	-15	1.78094639047028	0.9462389269	0.2537610731	1.665386347
20	-15	1.74233170943064	1.077875891	0.2745768091	1.587700963
25	-15	1.70502553033671	1.200223393	0.2976384059	1.501633912
30	-15	1.66910921733530	1.312953788	0.3227068339	1.408077265
35	-15	1.63466362618937	1.415803968	0.3495482835	1.307903612
40	-15	1.60176320087023	1.508566241	0.3779351345	1.201962442
45	-15	1.57048181248439	1.591086885	0.4076441503	1.091086885

-45	-10	2.23078821189917	-1.065285738	0.4239978919	1.565285738
-40	-10	2.19089193905636	-0.8956042930	0.4067300686	1.663216430
-35	-10	2.14883308790288	-0.7198610266	0.3928133447	1.742142094
-30	-10	2.10528182426131	-0.5405785113	0.3821997375	1.802334851
-25	-10	2.06084180160754	-0.3600367508	0.3747904931	1.844354764
-20	-10	2.01604287095730	-0.1802525943	0.3704486390	1.868978642
-15	-10	1.97134206023833	-0.002977710822	0.3690098585	1.877138372
-10	-10	1.92712402333353	0.1702924561	0.3702924561	1.869864399
-5	-10	1.88370391265486	0.3383000630	0.3741056438	1.848238737
0	-10	1.84133893945940	0.5000000000	0.3802548487	1.813364864
5	-10	1.80023808354809	0.6545351065	0.3885458340	1.766344349
10	-10	1.76056730972032	0.8012117106	0.3987882894	1.708256498
15	-10	1.72245199425355	0.9394747003	0.4107987291	1.640141910
20	-10	1.68599114307262	1.068886637	0.4244003667	1.563003190
25	-10	1.65126336069170	1.189110234	0.4394236943	1.477801665
30	-10	1.61832368901161	1.299889514	0.4557079118	1.385449279
35	-10	1.58722062245806	1.401041867	0.4730987125	1.286821147
40	-10	1.55798946830328	1.492443649	0.4914495661	1.182748284
45	-10	1.53066111699795	1.574024869	0.5106204377	1.074024869

-45	-5	2.18197088376661	-1.039942440	0.5652724940	1.539942440
-40	-5	2.13893107728769	-0.8718009817	0.5569692679	1.634848748
-35	-5	2.09421990667458	-0.6981222998	0.5502985000	1.711095974
-30	-5	2.04850293913927	-0.5213241073	0.5452338451	1.768985245
-25	-5	2.00237977110448	-0.3435945037	0.5417247618	1.809094251
-20	-5	1.95637641633756	-0.1668702870	0.5397023035	1.832211055
-15	-5	1.91094464496416	0.007167788451	0.5390843012	1.839274853
-10	-5	1.86646355486877	0.1770883500	0.5397800009	1.831322970
-5	-5	1.82324075450125	0.3416942155	0.5416942155	1.809443397
0	-5	1.78152311497132	0.5000000000	0.5447300297	1.774743882
5	-5	1.74150605583267	0.6512090390	0.5487909610	1.728327225
10	-5	1.70333820339087	0.7946897882	0.5537829229	1.671268838
15	-5	1.66712487755967	0.9299511462	0.5596157323	1.604599522
20	-5	1.63294357504036	1.056621692	0.5662031031	1.529305529
25	-5	1.60084446683580	1.174429303	0.5734635442	1.446318308
30	-5	1.57085425992351	1.283182340	0.5813206127	1.356511604
35	-5	1.54298896582655	1.382758053	0.5897022410	1.260709154
40	-5	1.51724927976852	1.473086077	0.5985412492	1.159678828
45	-5	1.49363019130020	1.554140795	0.6077746307	1.054140795

-45	0	2.13312225673421	-1.008345213	0.7000000000	1.508345213
-40	0	2.08708884387437	-0.8415548492	0.7000000000	1.598802811
-35	0	2.03994416066868	-0.6700639020	0.7000000000	1.671024429
-30	0	1.99234280395341	-0.4961714020	0.7000000000	1.725419481
-25	0	1.94486732171735	-0.3219364468	0.7000000000	1.762648398
-20	0	1.89802316296203	-0.1491621542	0.7000000000	1.783558360
-15	0	1.85223880687887	0.02060532070	0.7000000000	1.789125300
-10	0	1.80786827234987	0.1860669690	0.7000000000	1.780402691
-5	0	1.76519341452955	0.3461532569	0.7000000000	1.758476321
0	0	1.72443302891416	0.5000000000	0.7000000000	1.724433029
5	0	1.68575455487845	0.6469231903	0.7000000000	1.679339750
10	0	1.64927890370699	0.7863942761	0.7000000000	1.624222651
15	0	1.61508434243070	0.9180145873	0.7000000000	1.560051678
20	0	1.58322102861967	1.041493483	0.7000000000	1.487741118
25	0	1.55371101779885	1.156626650	0.7000000000	1.408140394
30	0	1.52655615186700	1.263278076	0.7000000000	1.322036408
35	0	1.50174536884080	1.361365757	0.7000000000	1.230157789
40	0	1.47925404194743	1.450846170	0.7000000000	1.133174339
45	0	1.45905247796134	1.531705901	0.7000000000	1.031705901

-45	5	2.08410967695802	-0.9708761537	0.8286849889	1.470876154
-40	5	2.03531639014815	-0.8053478215	0.8361019980	1.555652956
-35	5	1.98603948382953	-0.6362312937	0.8419684192	1.622706457
-30	5	1.93691179073470	-0.4656879997	0.8463353479	1.672620680
-25	5	1.88848092972790	-0.2956093822	0.8492722676	1.706189826
-20	5	1.84121055981516	-0.1276136863	0.8508614646	1.724354431
-15	5	1.79548392314110	0.03694508369	0.8511930504	1.728144474
-10	5	1.75160908763566	0.1969590008	0.8503607213	1.718630909
-5	5	1.70982358947914	0.3515418416	0.8484581584	1.696884515
0	5	1.67030258054401	0.5000000000	0.8455764620	1.663946575
5	5	1.63317406599131	0.6418029413	0.8418029413	1.620815036
10	5	1.59852359376147	0.7765561052	0.8372196356	1.568427611
15	5	1.56639796102720	0.9039736961	0.8319023150	1.507650359
20	5	1.53681994709224	1.023856018	0.8259209094	1.439282581
25	5	1.50978807836454	1.136067615	0.8193390341	1.364051402
30	5	1.48528690540628	1.240520940	0.8122147002	1.282619893
35	5	1.46328760851837	1.337160180	0.8046004525	1.195588643
40	5	1.44375314369649	1.425949415	0.7965440501	1.103503542
45	5	1.42664293156549	1.506864030	0.7880891883	1.006864030

-45	10	2.03478156432311	-0.9277530002	0.9517513757	1.427753000
-40	10	1.98354556700781	-0.7635240741	0.9655148170	1.505809355
-35	10	1.93252013036932	-0.5970633333	0.9762636142	1.566768813
-30	10	1.88229580593462	-0.4303631205	0.9841396787	1.611436194
-25	10	1.83336400190845	-0.2651050255	0.9893125530	1.640773022
-20	10	1.78612248486508	-0.1026729251	0.9919675491	1.655830253
-15	10	1.74088583733166	0.05582200019	0.9922963301	1.657694863
-10	10	1.69789541227897	0.2095106909	0.9904893091	1.647446738
-5	10	1.65732718928255	0.3577325766	0.9867295511	1.626124090
0	10	1.61930018069248	0.5000000000	0.9811885255	1.594699372
5	10	1.58389437622949	0.6359638418	0.9740251451	1.554073823
10	10	1.55115429877970	0.7653836846	0.9653836846	1.505065666
15	10	1.52109497244151	0.8880994996	0.9553932421	1.448407051
20	10	1.49371599181916	1.004009212	0.9441694793	1.384753929
25	10	1.46899947121502	1.113047315	0.9318142971	1.314684209
30	10	1.44692140186790	1.215170435	0.9184182640	1.238711530
35	10	1.42744762157084	1.310341078	0.9040609217	1.157286995
40	10	1.41054376272566	1.398520322	0.8888135444	1.070814822
45	10	1.39617229516913	1.479657580	0.8727400632	0.9796575801

-45	15	1.98498032040503	-0.8790583100	1.069517560	1.379058310
-40	15	1.93170214034653	-0.7163155990	1.088405346	1.449548485
-35	15	1.87939230516171	-0.5529107659	1.102918526	1.503712412
-30	15	1.82856795477242	-0.3906195174	1.113337956	1.542598254
-25	15	1.77963756256304	-0.2308652160	1.119968965	1.567345514
-20	15	1.73290901730071	-0.07475068487	1.123122463	1.579114528
-15	15	1.68860548900971	0.07689826861	1.123101731	1.579037158
-10	15	1.64688283202036	0.2234868608	1.120193620	1.568183939
-5	15	1.60784136114408	0.3646078437	1.114661940	1.547539428
0	15	1.57153457689701	0.5000000000	1.106743079	1.517985835
5	15	1.53798829774495	0.6295100108	1.096646850	1.480306197
10	15	1.50720518337701	0.7530611338	1.084555592	1.435181007
15	15	1.47917143457554	0.8706253468	1.070625347	1.383192625
20	15	1.45386836905800	0.9822017962	1.054989419	1.324838547
25	15	1.43127019850084	1.087796990	1.037759258	1.260534713
30	15	1.41135322878434	1.187411550	1.019028810	1.190631730
35	15	1.39409236442650	1.281026322	0.9988762056	1.115421185
40	15	1.37946877581614	1.368596330	0.9773683560	1.035152797
45	15	1.36746396422149	1.450040927	0.9545626991	0.9500409269

-45	20	1.93455607063863	-0.8247667386	1.182175660	1.324766739
-40	20	1.87972602495669	-0.6638720146	1.204844424	1.387048655
-35	20	1.82667276717677	-0.5040601474	1.221913843	1.433946498
-30	20	1.77580655250350	-0.3468305803	1.233854648	1.466753590
-25	20	1.72741952154152	-0.1932929941	1.241140616	1.486771624
-20	20	1.68170566701757	-0.04422614997	1.244226150	1.495249058
-15	20	1.63877752082187	0.09986151988	1.243530268	1.493337138
-10	20	1.59869081235281	0.2386708682	1.239429785	1.482071154
-5	20	1.56146075012442	0.3720601213	1.232255332	1.462359506
0	20	1.52707061403769	0.5000000000	1.222288910	1.434976987
5	20	1.49549089442236	0.6225345713	1.209768178	1.400576559
10	20	1.46668359766700	0.7397506436	1.194887949	1.359693466
15	20	1.44060999924886	0.8517521373	1.177804418	1.312756848
20	20	1.41723800045015	0.9586402934	1.158640293	1.260103850
25	20	1.39654171530019	1.060496495	1.137488077	1.201988612
30	20	1.37850660704995	1.157369773	1.114415725	1.138597846
35	20	1.36313022086479	1.249266511	1.089471253	1.070063474
40	20	1.35042034825750	1.336141241	1.062686995	0.9964743279
45	20	1.34039376714903	1.417889694	1.034084527	0.9178896938

-45	25	1.88337170452146	-0.7647649607	1.289769587	1.264764961
-40	25	1.82757608814377	-0.6062806013	1.314786489	1.318413881
-35	25	1.77439635287809	-0.4507522858	1.333159524	1.357814982
-30	25	1.72409769645350	-0.2993310537	1.345594558	1.384481997
-25	25	1.67682434612691	-0.1527568990	1.352756899	1.399841687
-20	25	1.63263134107456	-0.01144676723	1.355250133	1.405188444
-15	25	1.59150848720859	0.1244268015	1.353603980	1.401658259
-10	25	1.55340253284215	0.2548665447	1.348270656	1.390220909
-5	25	1.51823997793394	0.3799928976	1.339628366	1.371687457
0	25	1.48593417019964	0.5000000000	1.327982916	1.346713709
5	25	1.45640255985307	0.6151192523	1.313576512	1.315819075
10	25	1.42957022187196	0.7255921956	1.296592581	1.279396918
15	25	1.40537750158995	0.8316489529	1.277163324	1.237730743
20	25	1.38378370927790	0.9334914361	1.255376120	1.191007932
25	25	1.36476911787312	1.031279534	1.231279534	1.139332637
30	25	1.34833686635724	1.125119754	1.204889569	1.082739175
35	25	1.33451318220451	1.215055267	1.176195598	1.021204755
40	25	1.32334355867299	1.301055189	1.145165455	0.9546603988
45	25	1.31489510695896	1.383008518	1.111753634	0.8830085183

-45	30	1.83132015467130	-0.6988804615	1.392173957	1.198880461
-40	30	1.77525046949936	-0.5435967583	1.418056411	1.243710186
-35	30	1.72263325275988	-0.3932066896	1.436486105	1.275631353
-30	30	1.67355079063562	-0.2484346663	1.448434666	1.296326868
-25	30	1.62797261827171	-0.1096001780	1.454765273	1.307291800
-20	30	1.58579787578836	0.02326701044	1.456220960	1.309813124
-15	30	1.54688601201046	0.1503347325	1.453423940	1.304968544
-10	30	1.51107488307069	0.2718975251	1.446879603	1.293633419
-5	30	1.47820477214496	0.3883203610	1.436989994	1.276504115
0	30	1.44812403799124	0.5000000000	1.424062019	1.254112205
5	30	1.42070242790222	0.6073352875	1.408320994	1.226847950
10	30	1.39583283606750	0.7107062516	1.389918869	1.194974534
15	30	1.37343874895437	0.8104584461	1.368944981	1.158646695
20	30	1.35347526716148	0.9068906386	1.345433054	1.117922842
25	30	1.33593261549706	1.000244753	1.319368860	1.072778335
30	30	1.32083334042229	1.090694627	1.290694627	1.023113106
35	30	1.30823733999908	1.178337273	1.259317325	0.9687660249
40	30	1.29823743752350	1.263180410	1.225113346	0.9095229955
45	30	1.29095986896016	1.345131617	1.187936967	0.8451316170

-45	35	1.77833985552869	-0.6269113357	1.489071812	1.126911336
-40	35	1.72279120969932	-0.4758664316	1.514335993	1.162992326
-35	35	1.67149298465019	-0.3316393201	1.531639320	1.187704037
-30	35	1.62430279204117	-0.1944463862	1.542221127	1.202816424
-25	35	1.58099846970349	-0.06414917530	1.547126352	1.209821811
-20	35	1.54131633264882	0.05961771333	1.547209381	1.209940389
-15	35	1.50498611425615	0.1773495424	1.543153437	1.204147901
-10	35	1.47174545168651	0.2896064774	1.535488306	1.193200960
-5	35	1.44135725348068	0.3969671990	1.524613624	1.177670304
0	35	1.41361443470420	0.5000000000	1.510815930	1.157965154
5	35	1.38834731744587	0.5992434821	1.494286157	1.134358191
10	35	1.36542355419520	0.6951942648	1.475130925	1.107001685
15	35	1.34475422315752	0.7882987168	1.453385121	1.075945459
20	35	1.32629113200342	0.8789456513	1.429017311	1.041144620
25	35	1.31003309125425	0.9674603437	1.401938411	1.002471942
30	35	1.29602215406225	1.054094905	1.372003548	0.9597205277
35	35	1.28435138250603	1.139019799	1.339019799	0.9126148517
40	35	1.27516293732711	1.222309644	1.302749231	0.8608151132
45	35	1.26864701593284	1.303925469	1.262914674	0.8039254695

-45	40	1.72444354789910	-0.5486693043	1.579938026	1.048669304
-40	40	1.67031182185957	-0.4031646662	1.603164666	1.076349736
-35	40	1.62113647733667	-0.2662854188	1.618284619	1.094368993
-30	40	1.57652328642139	-0.1376748925	1.626773218	1.104485313
-25	40	1.53604844734984	-0.01671820316	1.629811137	1.108105763
-20	40	1.49929397987985	0.09732950691	1.628319490	1.106328087
-15	40	1.46587118034925	0.2052588021	1.623000470	1.099989126
-10	40	1.43543380772768	0.3078547067	1.614375350	1.089710109
-5	40	1.40768227300692	0.4058680160	1.602815404	1.075933501
0	40	1.38236688625114	0.5000000000	1.588568307	1.058954472
5	40	1.35928852834806	0.5908958850	1.571778131	1.038944720
10	40	1.33829622530647	0.6791425835	1.552498439	1.015968077
15	40	1.31929080106292	0.7652684331	1.530704666	0.9899952699
20	40	1.30222156472399	0.8497420830	1.506297948	0.9609084757
25	40	1.28709283243971	0.9329709111	1.479111656	0.9285091151
30	40	1.27396383663521	1.015295118	1.448910958	0.8925173249
35	40	1.26295325633983	1.096977909	1.415393532	0.8525728113
40	40	1.25424566743961	1.178190955	1.378190955	0.8082365071
45	40	1.24809366466330	1.258991222	1.336869254	0.7589912216

-45	45	1.66973758774133	-0.4640234458	1.664023446	0.9640234458
-40	45	1.61801009656495	-0.3256278455	1.683944951	0.9839449510
-35	45	1.57178775327415	-0.1974220405	1.696021897	0.9960218970
-30	45	1.53041923423919	-0.07844409935	1.701894569	1.001894569
-25	45	1.49328816761732	0.03238336134	1.702807118	1.002807118
-20	45	1.45984257251805	0.1361436265	1.699687170	0.9996871701
-15	45	1.42959926246277	0.2338703933	1.693209214	0.9932092135
-10	45	1.40214979313937	0.3265203766	1.683851834	0.9838518340
-5	45	1.37715225942888	0.4149666521	1.671935614	0.9719356140
0	45	1.35433007966219	0.5000000000	1.657655983	0.9576559833
5	45	1.33346585107373	0.5823358963	1.641103601	0.9411036011
10	45	1.31439687006652	0.6626224781	1.622277903	0.9222779033
15	45	1.29701644507993	0.7414484153	1.601097753	0.9010977532
20	45	1.28127041993990	0.8193484128	1.577402553	0.8774025531
25	45	1.26716245676673	0.8968063643	1.550953994	0.8509539944
30	45	1.25475872728032	0.9742542211	1.521432407	0.8214324067
35	45	1.24419325714789	1.052064233	1.488429434	0.7884294337
40	45	1.23567986221124	1.130534818	1.451442135	0.7514421351
45	45	1.22952401754436	1.209866023	1.409866023	0.7098660225


### +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	1.89341904851461	1.593165997	-0.3931659973	1.093165997
45	-40	1.82703425253581	1.611056805	-0.2322873552	1.111056805
45	-35	1.76636403005968	1.619322407	-0.08375798742	1.119322407
45	-30	1.71091090107139	1.620054102	0.05333646291	1.120054102
45	-25	1.66013107024897	1.614849290	0.1801372383	1.114849290
45	-20	1.61348893501571	1.604902828	0.2978482587	1.104902828
45	-15	1.57048183123359	1.591086898	0.4076441468	1.091086898
45	-10	1.53066114295920	1.574024887	0.5106204345	1.074024887
45	-5	1.49363020743355	1.554140806	0.6077746297	1.054140806
45	0	1.45905248997434	1.531705910	0.7000000000	1.031705910
45	5	1.42664293735843	1.506864034	0.7880891887	1.006864034
45	10	1.39617229915994	1.479657583	0.8727400637	0.9796575829
45	15	1.36746397422457	1.450040934	0.9545627010	0.9500409339
45	20	1.34039377993349	1.417889703	1.034084530	0.9178897025
45	25	1.31489514950036	1.383008547	1.111753648	0.8830085469
45	30	1.29095989960992	1.345131637	1.187936978	0.8451316370
45	35	1.26864701761199	1.303925471	1.262914675	0.8039254705
45	40	1.24809366747448	1.258991223	1.336869256	0.7589912233
45	45	1.22952404866490	1.209866040	1.409866040	0.7098660405

50	-45	1.90680312808908	1.659565886	-0.4595658856	0.9729913069
50	-40	1.83712237507947	1.683842536	-0.2933618352	0.9933618352
50	-35	1.77269904448999	1.696683250	-0.1379266328	1.004136474
50	-30	1.71328289269921	1.700296759	0.007008343052	1.007168568
50	-25	1.65852490261851	1.696460310	0.1420813946	1.003949405
50	-20	1.60803067659781	1.686564828	0.2681257217	0.9956461092
50	-15	1.56140089277402	1.671674582	0.3860507419	0.9831517098
50	-10	1.51825972800195	1.652587437	0.4967677372	0.9671356933
50	-5	1.47826116718600	1.629879052	0.6011483918	0.9480810962
50	0	1.44110559359489	1.603950932	0.7000000000	0.9263248198
50	5	1.40653515075264	1.575056721	0.7940552757	0.9020796982
50	10	1.37434362107388	1.543333471	0.8839678408	0.8754607306
50	15	1.34437341621522	1.508817254	0.9703117685	0.8464981857
50	20	1.31651836868367	1.471458078	1.053581824	0.8151501153
50	25	1.29072858944259	1.431131951	1.134193960	0.7813124768
50	30	1.26700946973466	1.387645214	1.212482203	0.7448227718
50	35	1.24543132495102	1.340744407	1.288695571	0.7054683214
50	40	1.22613284595188	1.290120591	1.362989897	0.6629898969
50	45	1.20932380376334	1.235414478	1.435414478	0.6170860174

55	-45	1.91835074570927	1.715634455	-0.5156344551	0.8511964091
55	-40	1.84606826675439	1.746212086	-0.3456961017	0.8726070968
55	-35	1.77853341372105	1.763763196	-0.1848965162	0.8848965162
55	-30	1.71571982693006	1.770511876	-0.03353037338	0.8896219927
55	-25	1.65746810451164	1.768338396	0.1085640928	0.8881001059
55	-20	1.60353533664303	1.758782592	0.2418406051	0.8814090599
55	-15	1.55364213438015	1.743077858	0.3669182919	0.8704124866
55	-10	1.50750030320212	1.722188801	0.4844951389	0.8557858113
55	-5	1.46482952813000	1.696848478	0.5952893262	0.8380423266
55	0	1.42537757291843	1.667600953	0.7000000000	0.8175629887
55	5	1.38892043560798	1.634826461	0.7992844504	0.7946140428
55	10	1.35527669699007	1.598775236	0.8937437198	0.7693707027
55	15	1.32430611140349	1.559584809	0.9839148939	0.7419292706
55	20	1.29591469605940	1.517298979	1.070266548	0.7123204134
55	25	1.27005841965450	1.471882267	1.153196144	0.6805192896
55	30	1.24674166266977	1.423227711	1.233025767	0.6464510026
55	35	1.22602598712122	1.371170880	1.310000417	0.6100004174
55	40	1.20802798819431	1.315494804	1.384281389	0.5710156090
55	45	1.19291980598072	1.255938100	1.455938100	0.5293135562

60	-45	1.92812178502768	1.762252004	-0.5622520041	0.7287615344
60	-40	1.85381974028265	1.798754476	-0.3897844021	0.7498362465
60	-35	1.78375268575806	1.820891054	-0.2248978731	0.7626168055
60	-30	1.71808478040944	1.830822748	-0.06835087202	0.7683508720
60	-25	1.65682875250630	1.830463804	0.07959453917	0.7681436355
60	-20	1.59989220286137	1.821454541	0.2190298811	0.7629421350
60	-15	1.54712121227387	1.805166961	0.3502815667	0.7535384965
60	-10	1.49832317993108	1.782716667	0.4738224430	0.7405768131
60	-5	1.45329252605429	1.754991138	0.5902025026	0.7245694715
60	0	1.41183126206456	1.722681739	0.7000000000	0.7059156310
60	5	1.37375371268759	1.686305375	0.8037882718	0.6849137277
60	10	1.33890430425608	1.646237934	0.9021126741	0.6617807800
60	15	1.30715642006402	1.602730258	0.9954756820	0.6366616110
60	20	1.27842186601342	1.555931379	1.084327591	0.6096422660
60	25	1.25265185880779	1.505902363	1.169059975	0.5807580001
60	30	1.22983687037648	1.452627544	1.249999769	0.5499997687
60	35	1.21001522481950	1.396031327	1.327407889	0.5173239277
60	40	1.19326769650243	1.335982986	1.401473015	0.4826550021
60	45	1.17971806405735	1.272306761	1.472306761	0.4458915164

65	-45	1.93619452404125	1.800237752	-0.6002377519	0.6063108211
65	-40	1.86035158029081	1.842058130	-0.4261204818	0.6258119836
65	-35	1.78826760597534	1.868429631	-0.2581847433	0.6381092167
65	-30	1.72025750810455	1.881398256	-0.09755065474	0.6441565856
65	-25	1.65648378301619	1.882861037	0.05516130839	0.6448386916
65	-20	1.59699341671499	1.874515261	0.1997173583	0.6409469927
65	-15	1.54175375018786	1.857838739	0.3361682065	0.6331706024
65	-10	1.49066807332806	1.834076570	0.4647663063	0.6220901213
65	-5	1.44360834398408	1.804259858	0.5858920481	0.6081863601
65	0	1.40043351728604	1.769223802	0.7000000000	0.5918487788
65	5	1.36099699021462	1.729622805	0.8075780559	0.5733825307
65	10	1.32516737776302	1.685961370	0.9091169876	0.5530228691
65	15	1.29282826390696	1.638607446	1.005088946	0.5309413715
65	20	1.26389107931187	1.587817620	1.095933234	0.5072576868
65	25	1.23829551266921	1.533750305	1.182045684	0.4820456840
65	30	1.21601060733094	1.476478768	1.263770279	0.4553395274
65	35	1.19704290894221	1.416008869	1.341396315	0.4271419504
65	40	1.18143040990129	1.352284215	1.415151371	0.3974266564
65	45	1.16924518346862	1.285198341	1.485198341	0.3661439997

70	-45	1.94265522206285	1.830312965	-0.6303129652	0.4841943216
70	-40	1.86566685702217	1.876674403	-0.4551669842	0.5010685051
70	-35	1.79202126811103	1.906744912	-0.2850133920	0.5120132753
70	-30	1.72214895553748	1.922434308	-0.1212428304	0.5177237481
70	-25	1.65633613263882	1.925590906	0.03523604295	0.5188726562
70	-20	1.59475115147627	1.917935495	0.1839136858	0.5160863142
70	-15	1.53746900220087	1.901019681	0.3245979079	0.5099294615
70	-10	1.48448354330058	1.876194960	0.4573396979	0.5008940019
70	-5	1.43574035390944	1.844618207	0.5823611501	0.4894010038
70	0	1.39115265506518	1.807255884	0.7000000000	0.4758022305
70	5	1.35061175345080	1.764892464	0.8106637512	0.4603832065
70	10	1.31400798633503	1.718155079	0.9147936071	0.4433721894
70	15	1.28123183793846	1.667523390	1.012836949	0.4249437616
70	20	1.25219012165378	1.613355409	1.105228229	0.4052282289
70	25	1.22680633716372	1.555899176	1.192373872	0.3843158706
70	30	1.20502422428037	1.495307515	1.274641062	0.3622623095
70	35	1.18681573501998	1.431655794	1.352352410	0.3390949776
70	40	1.17217605020428	1.364947972	1.425777524	0.3148153160
70	45	1.16112877865694	1.295130629	1.495130629	0.2894038813

75	-45	1.94758646279249	1.853079055	-0.6530790549	0.3625564401
75	-40	1.86977619929533	1.903079284	-0.4773233100	0.3759539612
75	-35	1.79497104160808	1.936166481	-0.3056145963	0.3848196488
75	-30	1.72368552879006	1.954118389	-0.1395356430	0.3896298479
75	-25	1.65630173532435	1.958722354	0.01978659535	0.3908634767
75	-20	1.59308616278438	1.951700857	0.1716240991	0.3889820722
75	-15	1.53420250892259	1.934652905	0.3155859127	0.3844140873
75	-10	1.47972254384270	1.909011669	0.4515532266	0.3775435389
75	-5	1.42965604507692	1.876036935	0.5796123676	0.3687079855
75	0	1.38396375601594	1.836806335	0.7000000000	0.3581961778
75	5	1.34256925947690	1.792216331	0.8130542798	0.3462483223
75	10	1.30538119911311	1.743001500	0.9191747016	0.3330612482
75	15	1.27229430784611	1.689739108	1.018789633	0.3187896332
75	20	1.24320874976400	1.632874824	1.112332715	0.3035528943
75	25	1.21803080133854	1.572732534	1.200223396	0.2874378161
75	30	1.19668019892116	1.509531410	1.282853231	0.2705031261
75	35	1.17909678601750	1.443402006	1.360577196	0.2527838058
75	40	1.16523786120201	1.374394008	1.433703689	0.2342931682
75	45	1.15508581466915	1.302491932	1.502491932	0.2150270650

80	-45	1.95105589908383	1.869004891	-0.6690048909	0.2413924990
80	-40	1.87269512075696	1.921657197	-0.4929120298	0.2506765212
80	-35	1.79709192283799	1.956971927	-0.3201827262	0.2569034609
80	-30	1.72481696361491	1.976618327	-0.1525259885	0.2603676512
80	-25	1.65632010194850	1.982327206	0.008779471764	0.2613742807
80	-20	1.59193960010390	1.975812422	0.1628482070	0.2602255485
80	-15	1.53190502860118	1.958700532	0.3091423706	0.2572082605
80	-10	1.47634794309213	1.932481992	0.4474147754	0.2525852246
80	-5	1.42532805339616	1.898492886	0.5776477264	0.2465920282
80	0	1.37884319736891	1.857895471	0.7000000000	0.2394336085
80	5	1.33684187377435	1.811672668	0.8147564887	0.2312832812
80	10	1.29924609783938	1.760642281	0.9222852472	0.2222852472
80	15	1.26595319509873	1.705457626	1.023001397	0.2125547035
80	20	1.23685676612775	1.646631807	1.117339847	0.2021821245
80	25	1.21184831566182	1.584546234	1.205732214	0.1912347628
80	30	1.19082753324704	1.519469194	1.288590814	0.1797599249
80	35	1.17370832293315	1.451570732	1.366297000	0.1677875942
80	40	1.16041866582196	1.380932262	1.439189936	0.1553321259
80	45	1.15090985647305	1.307563342	1.507563342	0.1423952058

85	-45	1.95311699448309	1.878427078	-0.6784270782	0.1205967428
85	-40	1.87444009580669	1.932690411	-0.5021699955	0.1253441693
85	-35	1.79836977897340	1.969369706	-0.3288637447	0.1285531918
85	-30	1.72550907305302	1.990063808	-0.1602887407	0.1303636911
85	-25	1.65634821266516	1.996464393	0.002187193171	0.1309236698
85	-20	1.59126901714652	1.990275931	0.1575839203	0.1303822495
85	-15	1.53054143721443	1.973138630	0.3052736936	0.1288829300
85	-10	1.47433450297015	1.946576674	0.4449295028	0.1265590599
85	-5	1.42273953244310	1.911972964	0.5764683724	0.1235316276
85	0	1.37577790382116	1.870542654	0.7000000000	0.1199069451
85	5	1.33341382848307	1.823323232	0.8157757809	0.1157757809
85	10	1.29557741821269	1.771185113	0.9241442329	0.1112142866
85	15	1.26216729902118	1.714829838	1.025512674	0.1062838389
85	20	1.23307234568384	1.654812931	1.120317533	0.1010330400
85	25	1.20817397116238	1.591551472	1.208998810	0.09549837942
85	30	1.18735893814520	1.525344119	1.291982703	0.08970598665
85	35	1.17052458223603	1.456384711	1.369667784	0.08367282019
85	40	1.15758043593608	1.384773215	1.442412879	0.07740762614
85	45	1.14845853500592	1.310533290	1.510533290	0.07091247426

90	-45	1.95379888820367	1.881544443	-0.6815444429	0.000000000
90	-40	1.87501887552660	1.936347790	-0.5052389011	0.000000000
90	-35	1.79879474634852	1.973486394	-0.3317462803	0.000000000
90	-30	1.72574010181293	1.994534768	-0.1628700509	0.000000000
90	-25	1.65635860369942	2.001170701	-7.393914702e-06	0.000000000
90	-20	1.59104657334275	1.995094724	0.1558300229	0.000000000
90	-15	1.53008762151644	1.977951150	0.3039841829	0.000000000
90	-10	1.47366351799781	1.951275258	0.4441010156	0.000000000
90	-5	1.42187640109116	1.916465732	0.5760753062	0.000000000
90	0	1.37475571746364	1.874755717	0.7000000000	0.000000000
90	5	1.33227104441516	1.827201351	0.8161150724	0.000000000
90	10	1.29435520760201	1.774691044	0.9247624231	0.000000000
90	15	1.26090720222563	1.717942831	1.026346798	0.000000000
90	20	1.23181420089065	1.657526715	1.121305270	0.000000000
90	25	1.20695408767316	1.593871888	1.210080839	0.000000000
90	30	1.18620910342472	1.527287218	1.293104552	0.000000000
90	35	1.16947087879463	1.457974461	1.370780939	0.000000000
90	40	1.15664265774500	1.386039681	1.443475569	0.000000000
90	45	1.14764996241749	1.311511071	1.511511071	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	1.22952408609016	1.209866062	1.409866062	0.7098660621
40	45	1.23567986596201	1.130534820	1.451442137	0.7514421373
35	45	1.24419327370650	1.052064240	1.488429444	0.7884294442
30	45	1.25475875978410	0.9742542334	1.521432428	0.8214324279
25	45	1.26716248621262	0.8968063735	1.550954014	0.8509540141
20	45	1.28127045064169	0.8193484204	1.577402574	0.8774025741
15	45	1.29701645775584	0.7414484176	1.601097762	0.9010977620
10	45	1.31439687781677	0.6626224790	1.622277909	0.9222779087
5	45	1.33346585708553	0.5823358967	1.641103605	0.9411036054
0	45	1.35433008882162	0.5000000000	1.657655990	0.9576559898
-5	45	1.37715227381138	0.4149666512	1.671935624	0.9719356241
-10	45	1.40214981954931	0.3265203734	1.683851853	0.9838518526
-15	45	1.42959929500444	0.2338703873	1.693209236	0.9932092361
-20	45	1.45984264321516	0.1361436089	1.699687218	0.9996872185
-25	45	1.49328822127246	0.03238334454	1.702807154	1.002807154
-30	45	1.53041940971791	-0.07844416568	1.701894684	1.001894684
-35	45	1.57178787888689	-0.1974220963	1.696021977	0.9960219766
-40	45	1.61801041329921	-0.3256280071	1.683945144	0.9839451436
-45	45	1.66973792047533	-0.4640236379	1.664023638	0.9640236379

45	50	1.20932383184702	1.235414495	1.435414495	0.6170860317
40	50	1.21326448444093	1.156031765	1.481828213	0.6560317653
35	50	1.21997469110611	1.076662625	1.523559579	0.6910485390
30	50	1.22916911308359	0.9971764698	1.561134906	0.7225779820
25	50	1.24063790040846	0.9173437288	1.594996515	0.7509912454
20	50	1.25424326276639	0.8368563870	1.625505317	0.7765911700
15	50	1.26991153592824	0.7553397954	1.652941090	0.7996125170
10	50	1.28762948875572	0.6723604004	1.677504405	0.8202235858
5	50	1.30744225964711	0.5874289151	1.699317072	0.8385265866
0	50	1.32944758886637	0.5000000000	1.718415938	0.8545524379
-5	50	1.35379984377224	0.4094711444	1.734749555	0.8682579698
-10	50	1.38070665750247	0.3151804115	1.748163972	0.8795140026
-15	50	1.41043200037505	0.2164059005	1.758387588	0.8880926348
-20	50	1.44329781119844	0.1123685887	1.765008550	0.8936482811
-25	50	1.47968111292897	0.002243456424	1.767442352	0.8956904842
-30	50	1.52001477124732	-0.1148182296	1.764896411	0.8935541858
-35	50	1.56477355131138	-0.2396435605	1.756320477	0.8863581223
-40	50	1.61445803831666	-0.3729636205	1.740357531	0.8729636205
-45	50	1.66956003425456	-0.5152935199	1.715293520	0.8519324181

45	55	1.19291983749655	1.255938120	1.455938120	0.5293135702
40	55	1.19479599893334	1.176786195	1.506562380	0.5647610582
35	55	1.19975640002923	1.096930173	1.552504637	0.5969301732
30	55	1.20755520922625	1.016272185	1.594209655	0.6261323409
25	55	1.21800658562709	0.9346224389	1.632050828	0.6526290158
20	55	1.23098659223013	0.8517153999	1.666330119	0.6766316340
15	55	1.24642778142719	0.7672187406	1.697273917	0.6982987141
10	55	1.26431762306629	0.6807406560	1.725031196	0.7177345706
5	55	1.28469873829725	0.5918343520	1.749671447	0.7349878597
0	55	1.30766330291960	0.5000000000	1.771175068	0.7500448572
-5	55	1.33335739464673	0.4046873725	1.789428318	0.7628259205
-10	55	1.36197544806621	0.3052986596	1.804206172	0.7731734855
-15	55	1.39376236890779	0.2011945413	1.815157153	0.7808414450
-20	55	1.42900996894217	0.09170569696	1.821779378	0.7854783767
-25	55	1.46805222859821	-0.02384646154	1.823392362	0.7866078003
-30	55	1.51125644071538	-0.1461151080	1.819104195	0.7836051931
-35	55	1.55900911830691	-0.2756737809	1.807776964	0.7756737809
-40	55	1.61168712995336	-0.4129320834	1.787990090	0.7618188627
-45	55	1.66962622988912	-0.5580208946	1.758020895	0.7408342060

45	60	1.17971807020823	1.272306765	1.472306765	0.4458915187
40	60	1.17974698734154	1.193524746	1.526510608	0.4771861220
35	60	1.18309238653032	1.113448064	1.576094630	0.5058134705
30	60	1.18955676670309	1.031985959	1.621426709	0.5319859587
25	60	1.19899023113099	0.9489661866	1.662811094	0.5558792444
20	60	1.21129382118243	0.8641471170	1.700485981	0.5776308506
15	60	1.22641702369968	0.7772249755	1.734617694	0.5973368039
10	60	1.24435691039958	0.6878403871	1.765295772	0.6150488008
5	60	1.26516036294004	0.5955839511	1.792529560	0.6307722355
0	60	1.28891773012362	0.5000000000	1.816235498	0.6444588651
-5	60	1.31576768135704	0.4005926226	1.836231523	0.6560035756
-10	60	1.34588959710040	0.2968328695	1.852218054	0.6652334035
-15	60	1.37950489335700	0.1881703346	1.863764155	0.6718995480
-20	60	1.41686831771378	0.07405172548	1.870283266	0.6756633587
-25	60	1.45826308249407	-0.04605183447	1.871011938	0.6760840576
-30	60	1.50398373647450	-0.1726019744	1.864980793	0.6726019744
-35	60	1.55432405029201	-0.3059362824	1.850996295	0.6645280209
-40	60	1.60954070661816	-0.4461828022	1.827616754	0.6510298363
-45	60	1.66982546617053	-0.5931573709	1.793157371	0.6311347023

45	65	1.16924519725300	1.285198351	1.485198351	0.3661440041
40	65	1.16768358027519	1.206830048	1.542367249	0.3928022990
35	65	1.16960326109480	1.126693676	1.595011325	0.4173506349
30	65	1.17485695016088	1.044690504	1.643431628	0.4399293931
25	65	1.18333593338612	0.9606509299	1.687869107	0.4606509299
20	65	1.19497240960326	0.8743434053	1.728500053	0.4795974512
15	65	1.20973944222988	0.7854811742	1.765430247	0.4968182833
10	65	1.22764966056451	0.6937282815	1.798687681	0.5123264796
5	65	1.24875869032318	0.5987063404	1.828218633	0.5260969886
0	65	1.27315841868337	0.5000000000	1.853873389	0.5380599978
-5	65	1.30098148678326	0.3971657836	1.875400472	0.5480982417
-10	65	1.33239176190306	0.2897429742	1.892426848	0.5560377710
-15	65	1.36758503381507	0.1772695279	1.904446519	0.5616426356
-20	65	1.40677618004140	0.05930582037	1.910797307	0.5646040569
-25	65	1.45019462984467	-0.06453411574	1.910647318	0.5645341157
-30	65	1.49806167775707	-0.1945355950	1.902970938	0.5609545610
-35	65	1.55058052208037	-0.3308278887	1.886545193	0.5532951104
-40	65	1.60789870236961	-0.4733040144	1.859938556	0.5408882316
-45	65	1.67008348034543	-0.6215327608	1.821532761	0.5229793152

45	70	1.16112878638250	1.295130634	1.495130634	0.2894038832
40	70	1.15825554411094	1.217158349	1.554676039	0.3110766383
35	70	1.15897633791167	1.137050036	1.609801740	0.3311407523
30	70	1.16319023626771	1.054691648	1.660754116	0.3496859009
25	70	1.17082852113488	0.9699073971	1.707719665	0.3667799625
20	70	1.18185596532104	0.8824670003	1.750819447	0.3824670003
15	70	1.19627171247728	0.7920923303	1.790103417	0.3967651961
10	70	1.21410702362982	0.6984633501	1.825541589	0.4096636359
5	70	1.23542932407377	0.6012261614	1.857020319	0.4211209566
0	70	1.26033424809994	0.5000000000	1.884326793	0.4310597002
-5	70	1.28894979921225	0.3943885839	1.907144010	0.4393644880
-10	70	1.32142518636435	0.2839939443	1.925031217	0.4458748989
-15	70	1.35793090759564	0.1684355243	1.937415469	0.4503823982
-20	70	1.39864288649867	0.04737737510	1.943570441	0.4526226249
-25	70	1.44373857608405	-0.07943876841	1.942610449	0.4522732162
-30	70	1.49337130654812	-0.2121454126	1.933472037	0.4489471063
-35	70	1.54766155111712	-0.3506971325	1.914921414	0.4421952317
-40	70	1.60666456267451	-0.4948002509	1.885556773	0.4315073764
-45	70	1.67034588865726	-0.6438379630	1.843837963	0.4163229714

45	75	1.15508581830345	1.302491934	1.502491934	0.2150270657
40	75	1.15118906884760	1.224857727	1.563851800	0.2314683921
35	75	1.15096035196793	1.144814040	1.620889886	0.2467517014
30	75	1.15433776477168	1.062229990	1.673810908	0.2609318464
25	75	1.16128726184581	0.9769198421	1.722757902	0.2740471539
20	75	1.17180326575905	0.8886497922	1.767806528	0.2861178969
15	75	1.18590952088030	0.7971448185	1.808959560	0.2971448185
10	75	1.20365548606652	0.7020948610	1.846136911	0.3071064597
5	75	1.22512078497579	0.6031642480	1.879172750	0.3159583861
0	75	1.25040590127532	0.5000000000	1.907799353	0.3236288614
-5	75	1.27963557631111	0.3922452027	1.931642969	0.3300177390
-10	75	1.31294639440445	0.2795550952	1.950205181	0.3349914686
-15	75	1.35048636196532	0.1616183462	1.962857524	0.3383816538
-20	75	1.39239695095039	0.03818631378	1.968822675	0.3399800111
-25	75	1.43880994540432	-0.09089342886	1.967175047	0.3395385306
-30	75	1.48982065993704	-0.2256297769	1.956827641	0.3367659515
-35	75	1.54548029731592	-0.3658398989	1.936547526	0.3313319109
-40	75	1.60577072541692	-0.5110896193	1.904969686	0.3228706543
-45	75	1.67057908118746	-0.6606291210	1.860629121	0.3109896357

45	80	1.15090985904310	1.307563344	1.507563344	0.1423952062
40	80	1.14628174205498	1.230184676	1.570200211	0.1534397758
35	80	1.14536703649102	1.150208067	1.628593355	0.1637360626
30	80	1.14813304895466	1.067488193	1.682918384	0.1733150308
25	80	1.15457234937476	0.9818296344	1.733286986	0.1821963744
20	80	1.16470278593849	0.8929936725	1.779741241	0.1903875130
15	80	1.17856807786705	0.8007055375	1.822248344	0.1978826621
10	80	1.19623309524666	0.7046609720	1.860690050	0.2046609720
5	80	1.21778786782001	0.6045367163	1.894860135	0.2106860799
0	80	1.24333741811038	0.5000000000	1.924448329	0.2159032769
-5	80	1.27300439862114	0.3907234148	1.949037084	0.2202389378
-10	80	1.30691569252532	0.2764025782	1.968083993	0.2235974218
-15	80	1.34520164760077	0.1567787707	1.980919066	0.2258605914
-20	80	1.38797677808124	0.03166928255	1.986728071	0.2268848758
-25	80	1.43533727765414	-0.09899930580	1.984558157	0.2265022613
-30	80	1.48733419544319	-0.2351452832	1.973308981	0.2245187282
-35	80	1.54396693904678	-0.3764873856	1.951753713	0.2207179527
-40	80	1.60516420999350	-0.5224940914	1.918561007	0.2148651831
-45	80	1.67075812520179	-0.6723272747	1.872327275	0.2067129288

45	85	1.14845853621864	1.310533291	1.510533291	0.07091247434
40	85	1.14339196395591	1.233313119	1.573928544	0.07645884029
35	85	1.14206314767056	1.153384738	1.633130111	0.08163830632
30	85	1.14445736222940	1.070593223	1.688296452	0.08646473578
25	85	1.15058384943022	0.9847363250	1.739520404	0.09094625081
20	85	1.16047537922930	0.8955713955	1.786823477	0.09508473350
15	85	1.17418857330881	0.8028229797	1.830150746	0.09887537833
10	85	1.19179838635251	0.7061897123	1.869359967	0.1023057407
5	85	1.21340181567618	0.6053555466	1.904219409	0.1053555466
0	85	1.23910716581287	0.5000000000	1.934391989	0.1079953054
-5	85	1.26903597840851	0.3898139285	1.959432560	0.1101860715
-10	85	1.30330905789651	0.2745181377	1.978771186	0.1118779821
-15	85	1.34204551737638	0.1538867507	1.991712232	0.1130101768
-20	85	1.38534273880106	0.02777803794	1.997419178	0.1135094699
-25	85	1.43327431716782	-0.1038326763	1.994923353	0.1132911135
-30	85	1.48586360796444	-0.2408084675	1.983117904	0.1122582706
-35	85	1.54307806542521	-0.3828090281	1.960781954	0.1103041281
-40	85	1.60481421167494	-0.5292457454	1.926607315	0.1073142346
-45	85	1.67087154050834	-0.6792302162	1.879230216	0.1031692756

45	90	1.14764996318849	1.311511071	1.511511071	0.000000000
40	90	1.14243724183476	1.234344504	1.575157701	0.000000000
35	90	1.14096990242849	1.154433451	1.634627828	0.000000000
30	90	1.14323927808523	1.071619639	1.690074257	0.000000000
25	90	1.14926028147568	0.9856983824	1.741583542	0.000000000
20	90	1.15907080056844	0.8964255613	1.789170278	0.000000000
15	90	1.17273191911120	0.8035253555	1.832772048	0.000000000
10	90	1.19032212385227	0.7066972676	1.872238456	0.000000000
5	90	1.21194085417414	0.6056276053	1.907329053	0.000000000
0	90	1.23769758938687	0.5000000000	1.937697589	0.000000000
-5	90	1.26771352695862	0.3895114860	1.962889494	0.000000000
-10	90	1.30210740350300	0.2738914223	1.982325466	0.000000000
-15	90	1.34099448495335	0.1529250879	1.995301206	0.000000000
-20	90	1.38446629292038	0.02648464007	2.000972759	0.000000000
-25	90	1.43258863137229	-0.1054381172	1.998366232	0.000000000
-30	90	1.48537548353640	-0.2426877418	1.986372903	0.000000000
-35	90	1.54278350232009	-0.3849042633	1.963774260	0.000000000
-40	90	1.60469844538479	-0.5314802780	1.929270327	0.000000000
-45	90	1.67090900226568	-0.6815110862	1.881511086	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	1.67090899671422	-0.6815110823	1.881511082	1.446933765e-16
-90	40	1.74110885472000	-0.8337667630	1.819163199	1.633393197e-16
-90	35	1.81488612778401	-0.9866676817	1.740975918	1.820642818e-16
-90	30	1.89170753947738	-1.138266786	1.645853770	2.006298175e-16
-90	25	1.97093529795377	-1.286274008	1.532953250	2.187554747e-16
-90	20	2.05183486729256	-1.428094084	1.401768855	2.361234248e-16
-90	15	2.13357370647390	-1.560873945	1.252209509	2.523842681e-16
-90	10	2.21525121321644	-1.681596570	1.084674336	2.671685256e-16
-90	5	2.29592082479504	-1.787184153	0.9001026848	2.800992752e-16
-90	-2.84217e-14	2.37460721389313	-1.874607214	0.7000000000	2.908055124e-16
-90	-5	2.45032138901314	-1.940997176	0.4864404194	2.989359379e-16
-90	-10	2.52209457852419	-1.983778295	0.2620428725	3.041751138e-16
-90	-15	2.58899932383450	-2.000781311	0.02991766723	3.062573828e-16
-90	-20	2.65015962904705	-1.990335447	-0.2064079762	3.049781334e-16
-90	-25	2.70476511286011	-1.951349684	-0.4430831304	3.002037544e-16
-90	-30	2.75208636938488	-1.883376709	-0.6760431847	2.918794658e-16
-90	-35	2.79149384725343	-1.786657892	-0.9011350930	2.800348268e-16
-90	-40	2.82246553265480	-1.662134037	-1.114245873	2.647850528e-16
-90	-45	2.84458810208760	-1.511427537	-1.311427537	2.463288294e-16

-85	45	1.67087153173883	-0.6792302100	1.879230210	0.1031692751
-85	40	1.74088784822740	-0.8306124493	1.816516415	0.1164135049
-85	35	1.81441185360975	-0.9824769875	1.738041562	0.1296999303
-85	30	1.89090961219407	-1.132895487	1.642752649	0.1428598438
-85	25	1.96974967537483	-1.279613870	1.529847576	0.1556960391
-85	20	2.05020834229635	-1.420087750	1.398854788	0.1679859111
-85	15	2.13146926156269	-1.551528716	1.249705463	0.1794855055
-85	10	2.21265525045856	-1.670996789	1.082805309	0.1899376076
-85	5	2.29284370534850	-1.775492632	0.8990798092	0.1990798092
-85	-2.84217e-14	2.37108755416430	-1.862064850	0.7000000000	0.2066538969
-85	-5	2.44642439483765	-1.927911101	0.4875853026	0.2124146974
-85	-10	2.51790831496044	-1.970502744	0.2643837104	0.2161409833
-85	-15	2.58462940327245	-1.987693130	0.03342463467	0.2176449472
-85	-20	2.64572410751266	-1.977807910	-0.2018483254	0.2167801025
-85	-25	2.70038868978283	-1.939725833	-0.4376628397	0.2134483525
-85	-30	2.74789122183324	-1.872942178	-0.6700188052	0.2076055398
-85	-35	2.78759168312616	-1.777619887	-0.8948066140	0.1992659199
-85	-40	2.81895055293810	-1.654607894	-1.107930689	0.1885037650
-85	-45	2.84153068169801	-1.505431752	-1.305431752	0.1754525437

-80	45	1.67075809942932	-0.6723272566	1.872327257	0.2067129256
-80	40	1.74022165223419	-0.8210899143	1.808526060	0.2329437958
-80	35	1.81298572445909	-0.9698576467	1.729205404	0.2591755609
-80	30	1.88851632576315	-1.116761590	1.633437739	0.2850786897
-80	25	1.96620173324823	-1.259656433	1.520541270	0.3102749059
-80	20	2.04535053770767	-1.396148404	1.390141579	0.3343421230
-80	15	2.12519577839602	-1.523639948	1.242232690	0.3568223220
-80	10	2.20492698921291	-1.639413152	1.077236262	0.3772362615
-80	5	2.28369119161172	-1.740695311	0.8960354381	0.3950950388
-80	-2.84217e-14	2.36062084766897	-1.824757713	0.7000000000	0.4099175084
-80	-5	2.43483201115613	-1.888990547	0.4909904098	0.4212434902
-80	-10	2.50544647925981	-1.931003464	0.2713484991	0.4286515009
-80	-15	2.57160770256841	-1.948719374	0.04386762122	0.4317752938
-80	-20	2.63248955936490	-1.940457410	-0.1882538552	0.4303184866
-80	-25	2.68730712425318	-1.905011240	-0.4214751592	0.4240683705
-80	-30	2.73532574450724	-1.841716373	-0.6519905783	0.4129077777
-80	-35	2.77587697228961	-1.750510823	-0.8758246427	0.3968257784
-80	-40	2.80836990472888	-1.631975057	-1.088939484	0.3759247248
-80	-45	2.83230209027846	-1.487352293	-1.287352293	0.3504238294

-75	45	1.67057903024062	-0.6606290856	1.860629086	0.3109896262
-75	40	1.73911715581517	-0.8050327923	1.795052535	0.3496824828
-75	35	1.81061663758676	-0.9486846111	1.714379885	0.3881738716
-75	30	1.88454897383377	-1.089824403	1.617885547	0.4259921649
-75	25	1.96033665158296	-1.226489101	1.505075090	0.4626113604
-75	20	2.03734113890019	-1.356528508	1.375721116	0.4974553144
-75	15	2.11488193852602	-1.477653862	1.229910755	0.5299107552
-75	10	2.19224705440817	-1.587487073	1.068080293	0.5593404753
-75	5	2.26869643632997	-1.683609199	0.8910410504	0.5850963213
-75	-2.84217e-14	2.34348174621442	-1.763629542	0.7000000000	0.6065377078
-75	-5	2.41584099088002	-1.825235111	0.4965682878	0.6230448702
-75	-10	2.48500415752296	-1.866254316	0.2827655209	0.6340359331
-75	-15	2.55020305210332	-1.884728349	0.06101396463	0.6389860354
-75	-20	2.61067536402586	-1.878979713	-0.1658778034	0.6374456929
-75	-25	2.66567028459286	-1.847683848	-0.3947429573	0.6290599912
-75	-30	2.71445660821139	-1.789942802	-0.6220990929	0.6135883244
-75	-35	2.75632989294279	-1.705355135	-0.8442062898	0.5909231274
-75	-40	2.79062588811234	-1.594084509	-1.057145539	0.5611082530
-75	-45	2.81674452348701	-1.456923654	-1.256923654	0.5243561128

-70	45	1.67034578884658	-0.6438378947	1.843837895	0.4163229465
-70	40	1.73758017117455	-0.7821593183	1.775859411	0.4666678275
-70	35	1.80731807339087	-0.9187529747	1.693421528	0.5163838526
-70	30	1.87904752713573	-1.052026995	1.596063203	0.5648916289
-70	25	1.95223699874496	-1.180269637	1.483522600	0.6115681335
-70	20	2.02632455970188	-1.301658845	1.355750192	0.6557501918
-70	15	2.10074529944354	-1.414305592	1.212936638	0.6967502549
-70	10	2.17491151121362	-1.516258296	1.055520738	0.7338580043
-70	5	2.24823458317793	-1.605545857	0.8842113930	0.7663560188
-70	-2.84217e-14	2.32011080888211	-1.680191007	0.7000000000	0.7935246314
-70	-5	2.38992911278325	-1.738247459	0.5041787212	0.8146554518
-70	-10	2.45706026692302	-1.777825154	0.2983579681	0.8290605547
-70	-15	2.52085542826420	-1.797131235	0.08448554068	0.8360873937
-70	-20	2.58064387996553	-1.794518837	-0.1351365586	0.8351365586
-70	-25	2.63573245430615	-1.768546912	-0.3578407978	0.8256835509
-70	-30	2.68540576155676	-1.718050461	-0.5805920308	0.8073043459
-70	-35	2.72893033041276	-1.642222822	-0.8000005688	0.7797053425
-70	-40	2.76557058841161	-1.540712802	-1.012361360	0.7427587167
-70	-45	2.79460568938305	-1.413721045	-1.213721045	0.6965374970

-65	45	1.67008329525447	-0.6215326365	1.821532637	0.5229792573
-65	40	1.73562712762928	-0.7520818762	1.750621441	0.5838553675
-65	35	1.80311264734820	-0.8797894493	1.666138974	0.6434063868
-65	30	1.87206408094188	-1.003301711	1.567931648	0.7010011005
-65	25	1.94201283612413	-1.121225581	1.455989904	0.7559899041
-65	20	2.01249811551652	-1.232135740	1.330445851	0.8077081605
-65	15	2.08307982239724	-1.334590302	1.191576990	0.8554835076
-65	10	2.15332397118064	-1.427121879	1.039803582	0.8986316903
-65	5	2.22280244617084	-1.508239988	0.8756982326	0.9364576857
-65	-2.84217e-14	2.29108574785201	-1.576428854	0.7000000000	0.9682546763
-65	-5	2.35772618161334	-1.630139818	0.5136369142	0.9933005101
-65	-10	2.42225174253225	-1.667799361	0.3177584839	1.010861443
-65	-15	2.48415753134583	-1.687823658	0.1137744177	1.020198926
-65	-20	2.54289195280504	-1.688640079	-0.09659984220	1.020579630
-65	-25	2.59784742896196	-1.668727533	-0.3112942573	1.011294257
-65	-30	2.64835308952742	-1.626675989	-0.5278369550	0.9916853003
-65	-35	2.69367328163735	-1.561269982	-0.7433167795	0.9611859780
-65	-40	2.73301698754875	-1.471599189	-0.9543681524	0.9193718007
-65	-45	2.76554436608198	-1.357181778	-1.157181778	0.8660180858

-60	45	1.66982517172494	-0.5931571781	1.793157178	0.6311345910
-60	40	1.73328166076727	-0.7143075547	1.718925021	0.7010807936
-60	35	1.79804093127205	-0.8314716774	1.632306505	0.7687255314
-60	30	1.86367821456548	-0.9435989375	1.533462235	0.8334622352
-60	25	1.92981075288653	-1.049673345	1.422624549	0.8947043232
-60	20	1.99610147636583	-1.148709429	1.300081157	0.9518828327
-60	15	2.06224515597310	-1.239730683	1.166159432	1.004433978
-60	10	2.12796580596217	-1.321754641	1.021224495	1.051790532
-60	5	2.19300245524842	-1.393767840	0.8656832173	1.093367372
-60	-2.84217e-14	2.25709637933339	-1.454702803	0.7000000000	1.128548190
-60	-5	2.31997630358113	-1.503416139	0.5247237995	1.156672847
-60	-10	2.38133666321899	-1.538665802	0.3405282144	1.177024250
-60	-15	2.44082724228441	-1.559106326	0.1482641228	1.188825592
-60	-20	2.49803717165196	-1.563290613	-0.05097636784	1.191241391
-60	-25	2.55247648530919	-1.549685322	-0.2557839624	1.183386372
-60	-30	2.60355931122191	-1.516708371	-0.4643471207	1.164347121
-60	-35	2.65059105827324	-1.462795652	-0.6743643117	1.133220598
-60	-40	2.69276167945835	-1.386502883	-0.8829638735	1.089172947
-60	-45	2.72914594177917	-1.286645409	-1.086645409	1.031520208

-55	45	1.66962577003484	-0.5580206032	1.758020603	0.7408340019
-55	40	1.73058720014404	-0.6682551092	1.680282431	0.8180210340
-55	35	1.79215905383076	-0.7734450957	1.591675855	0.8916758555
-55	30	1.85399433640291	-0.8729058700	1.492647574	0.9613190394
-55	25	1.91581850267210	-0.9660349483	1.383623324	1.026528722
-55	20	1.97742150879358	-1.052284952	1.264985517	1.086921625
-55	15	2.03864777180935	-1.131133611	1.137060934	1.142132050
-55	10	2.09937335578567	-1.202043176	1.000116134	1.191783462
-55	5	2.15949123639657	-1.264426338	0.8543673022	1.235464623
-55	-2.84217e-14	2.21890975654424	-1.317624463	0.7000000000	1.272714351
-55	-5	2.27751877683924	-1.360861506	0.5371957138	1.302989254
-55	-10	2.33517600827302	-1.393217506	0.3661746733	1.325645169
-55	-15	2.39169335439442	-1.413607378	0.1872504484	1.339922311
-55	-20	2.44681804907240	-1.420763388	0.0008992997111	1.344933003
-55	-25	2.50020649725401	-1.413224086	-0.1921510429	1.339653927
-55	-30	2.55139808635831	-1.389342023	-0.3908121254	1.322931526
-55	-35	2.59979217986004	-1.347320747	-0.5935079122	1.293507912
-55	-40	2.64462544118494	-1.285288360	-0.7980348040	1.250072367
-55	-45	2.68494969192439	-1.201418452	-1.001418452	1.191346026

-50	45	1.66955954364299	-0.5152932215	1.715293222	0.8519321677
-50	40	1.72760844025580	-0.6132717040	1.634145876	0.9341458762
-50	35	1.78555318317904	-0.7053606018	1.544002580	1.011417636
-50	30	1.84314984129468	-0.7912793272	1.445520467	1.083512007
-50	25	1.90025267140986	-0.8708427877	1.339234490	1.150273678
-50	20	1.95678883413283	-0.9439132532	1.225541445	1.211587078
-50	15	2.01273582856203	-1.010356131	1.104698706	1.267339272
-50	10	2.06811477398466	-1.070010100	0.9768351405	1.317394895
-50	5	2.12296134354869	-1.122642605	0.8419628329	1.361558811
-50	-2.84217e-14	2.17732028998020	-1.167924109	0.7000000000	1.399554505
-50	-5	2.23122459395339	-1.205391433	0.5507975828	1.430993322
-50	-10	2.28468192373386	-1.234417132	0.3941754639	1.455348776
-50	-15	2.33766222726506	-1.254180766	0.2299686805	1.471932433
-50	-20	2.39007403803476	-1.263634133	0.05808967131	1.479864751
-50	-25	2.44173777446398	-1.261470287	-0.1213870842	1.478049068
-50	-30	2.49235813645307	-1.246103581	-0.3081133723	1.465154871
-50	-35	2.54148868347351	-1.215664567	-0.5013212629	1.439613505
-50	-40	2.58848925858661	-1.168023714	-0.6996380836	1.399638084
-50	-45	2.63248279407940	-1.100866496	-0.9008664961	1.343286486

-45	45	1.66973734705662	-0.4640233068	1.664023307	0.9640233068
-45	40	1.72444319723446	-0.5486690910	1.579937848	1.048669091
-45	35	1.77833956556451	-0.6269111519	1.489071683	1.126911152
-45	30	1.83131987279977	-0.6988802770	1.392173851	1.198880277
-45	25	1.88337144667039	-0.7647647876	1.289769506	1.264764788
-45	20	1.93455592918051	-0.8247666417	1.182175625	1.324766642
-45	15	1.98498022464814	-0.8790582435	1.069517543	1.379058243
-45	10	2.03478152257632	-0.9277529709	0.9517513706	1.427752971
-45	5	2.08410964514233	-0.9708761313	0.8286849869	1.470876131
-45	-2.84217e-14	2.13312222734404	-1.008345192	0.7000000000	1.508345192
-45	-5	2.18197086604071	-1.039942427	0.5652724951	1.539942427
-45	-10	2.23078822201644	-1.065285745	0.4239978906	1.565285745
-45	-15	2.27968190981900	-1.083801235	0.2756217382	1.583801235
-45	-20	2.32871221075508	-1.094681347	0.1195834566	1.594681347
-45	-25	2.37787113747275	-1.096842561	-0.04461991501	1.596842561
-45	-30	2.42705522579152	-1.088880613	-0.2173406494	1.588880613
-45	-35	2.47602513893365	-1.069025621	-0.3986435676	1.569025621
-45	-40	2.52434990334727	-1.035108679	-0.5881091264	1.535108679
-45	-45	2.57133629344487	-0.9845617012	-0.7845617012	1.484561701


### -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	2.84458811846292	-1.511427548	-1.311427548	2.463288309e-16
-40	-90	2.85756857564252	-1.336809674	-1.489024528	2.680781882e-16
-35	-90	2.86124161143723	-1.141140767	-1.643791915	2.870317267e-16
-30	-90	2.85555685669755	-0.9277784283	-1.772984780	3.028532895e-16
-25	-90	2.84059593322941	-0.7004877156	-1.874454214	3.152797113e-16
-20	-90	2.81655258778331	-0.4633177198	-1.946693683	3.241264947e-16
-15	-90	2.78374708511012	-0.2204867624	-1.988893203	3.292944455e-16
-10	-90	2.74261787913726	0.02374940325	-2.000951351	3.307711427e-16
-5	-90	2.69370398132830	0.2652282288	-1.983453624	3.286282892e-16
-2.84217e-14	-90	2.63764904310699	0.5000000000	-1.937649043	3.230188458e-16
5	-90	2.57519595028330	0.7244431158	-1.865396552	3.141704676e-16
10	-90	2.50716881254107	0.9353652954	-1.769079285	3.023750043e-16
15	-90	2.43446130239952	1.130084950	-1.651509045	2.879768025e-16
20	-90	2.35801807384589	1.306489680	-1.515812184	2.713587298e-16
25	-90	2.27881665176796	1.463069532	-1.365309277	2.529274395e-16
30	-90	2.19784284643303	1.598921423	-1.203387739	2.330977702e-16
35	-90	2.11605993124572	1.713722114	-1.033374819	2.122771923e-16
40	-90	2.03441601404964	1.807697407	-0.8584530826	1.908554579e-16
45	-90	1.95379888643919	1.881544442	-0.6815444417	1.691903978e-16

-45	-85	2.84153070780243	-1.505431770	-1.305431770	0.1754525453
-40	-85	2.85393979086746	-1.330370996	-1.481351211	0.1908435021
-35	-85	2.85708003813609	-1.134561535	-1.634395799	0.2042331686
-30	-85	2.85093087934673	-0.9213913877	-1.761922101	0.2153902743
-25	-85	2.83560048738484	-0.6946270235	-1.861885919	0.2241359752
-20	-85	2.81130378014798	-0.4582894903	-1.932878736	0.2303470418
-15	-85	2.77837417950338	-0.2165421013	-1.974171528	0.2339596930
-10	-85	2.73725490705840	0.02643516873	-1.985719618	0.2349700200
-5	-85	2.68848430131882	0.2665680655	-1.968139221	0.2334319345
-2.84217e-14	-85	2.63269782148854	0.5000000000	-1.922679611	0.2294547341
5	-85	2.57062171630514	0.7231983277	-1.851168560	0.2231983277
10	-85	2.50305811671606	0.9330470983	-1.755932135	0.2148662202
15	-85	2.43087368083531	1.126921798	-1.639704001	0.2046975761
20	-85	2.35498549480844	1.302744216	-1.505521608	0.1929581378
25	-85	2.27634116370397	1.459013331	-1.356610725	0.1799301237
30	-85	2.19589937536213	1.594811692	-1.196269476	0.1659020821
35	-85	2.11460331970895	1.709783836	-1.027750374	0.1511585712
40	-85	2.03338331950234	1.804108049	-0.8541754524	0.1359727332
45	-85	1.95311699158942	1.878427076	-0.6784270761	0.1205967427

-45	-80	2.83230214981785	-1.487352334	-1.287352334	0.3504238367
-40	-80	2.84301673712052	-1.311009613	-1.458277213	0.3805625045
-35	-80	2.84458541065692	-1.114829415	-1.606215411	0.4066480003
-30	-80	2.83707400306811	-0.9022817319	-1.728823206	0.4282670626
-25	-80	2.82066712147266	-0.6771293577	-1.824362054	0.4451131392
-20	-80	2.79563943622577	-0.4433038388	-1.891705997	0.4569876933
-15	-80	2.76236098632871	-0.2048020906	-1.930357211	0.4638029453
-10	-80	2.72128851968550	0.03442054420	-1.940432303	0.4655794558
-5	-80	2.67295568459968	0.2705495206	-1.922630980	0.4624406023
-2.84217e-14	-80	2.61797176064868	0.5000000000	-1.878198887	0.4546060254
5	-80	2.55701477483380	0.7194979398	-1.808872932	0.4423819891
10	-80	2.49082292111784	0.9261495875	-1.716814408	0.4261495875
15	-80	2.42018444204030	1.117497519	-1.604532113	0.4063511894
20	-80	2.34593542179368	1.291564842	-1.474806530	0.3834770690
25	-80	2.26893801236317	1.446880093	-1.330590911	0.3580479645
30	-80	2.19007317613008	1.582488368	-1.174924851	0.3305998381
35	-80	2.11022494878909	1.697943752	-1.010840982	0.3016674248
40	-80	2.03027065067176	1.793288083	-0.8412807193	0.2717693757
45	-80	1.95105588920094	1.869004884	-0.6690048840	0.2413924978

-45	-75	2.81674463452480	-1.456923731	-1.256923731	0.5243561335
-40	-75	2.82469702560438	-1.278598772	-1.419651476	0.5679589013
-35	-75	2.82373357328567	-1.081968528	-1.559285201	0.6053736450
-30	-75	2.81405877651295	-0.8706111730	-1.673968189	0.6361028591
-25	-75	2.79596586040013	-0.6482530125	-1.762436532	0.6598078801
-20	-75	2.76981835209409	-0.4186604599	-1.823998870	0.6763034588
-15	-75	2.73603726809262	-0.1855491782	-1.858504364	0.6855491782
-10	-75	2.69509648953696	0.04749082548	-1.866307055	0.6876399028
-5	-75	2.64751619727964	0.2770595187	-1.848221361	0.6827938559
-2.84217e-14	-75	2.59385892086404	0.5000000000	-1.805475321	0.6713400890
5	-75	2.53472676355650	0.7134427752	-1.739662084	0.6537054853
10	-75	2.47075520785888	0.9148420674	-1.652686275	0.6304003874
15	-75	2.40261581453314	1.102006163	-1.546717586	0.6020061628
20	-75	2.33101490037288	1.273123342	-1.424138924	0.5691613093
25	-75	2.25668814889312	1.426781332	-1.287488981	0.5325460674
30	-75	2.18039394262987	1.561979346	-1.139402184	0.4928663298
35	-75	2.10291872399786	1.678139209	-0.9825571634	0.4508398332
40	-75	2.02505365092316	1.775095313	-0.8195994197	0.4071754373
45	-75	1.94758641067057	1.853079019	-0.6530790187	0.3625564304

-45	-70	2.79460574439990	-1.413721082	-1.213721082	0.6965375107
-40	-70	2.79882307099701	-1.232950336	-1.365249788	0.7516894493
-35	-70	2.79450361698680	-1.036043983	-1.493698153	0.7984408307
-30	-70	2.78201696286866	-0.8266631074	-1.597847906	0.8363482408
-25	-70	2.76178554388374	-0.6084317069	-1.677039466	0.8651716114
-20	-70	2.73427013352539	-0.3848524073	-1.731112008	0.8848524073
-15	-70	2.69994488115274	-0.1592425314	-1.760326622	0.8954856568
-10	-70	2.65929452549407	0.06529985405	-1.765307035	0.8972983790
-5	-70	2.61280962654876	0.2859167791	-1.746982413	0.8906287620
-2.84217e-14	-70	2.56098488544012	0.5000000000	-1.706538599	0.8759084176
5	-70	2.50432044800284	0.7051940495	-1.645378718	0.8536480414
10	-70	2.44332589129464	0.8993969496	-1.565092659	0.8244263058
15	-70	2.37852730496102	1.080762360	-1.467434635	0.7888816919
20	-70	2.31047072132593	1.247704316	-1.354300724	0.7477043159
25	-70	2.23973503311507	1.398908799	-1.227716140	0.7016312950
30	-70	2.16692243987864	1.533342390	-1.089801521	0.6514344789
35	-70	2.09268441532665	1.650277740	-0.9427668617	0.5979182395
40	-70	2.01769402807544	1.749297814	-0.7888551576	0.5418989605
45	-70	1.94265515568786	1.830312920	-0.6303129197	0.4841943050

-45	-65	2.76554427893392	-1.357181720	-1.157181720	0.8660180585
-40	-65	2.76520166912569	-1.173850399	-1.294817227	0.9301985496
-35	-65	2.75688938297017	-0.9771890611	-1.409644613	0.9837434391
-30	-65	2.74114616233884	-0.7708579420	-1.501190525	1.026431999
-25	-65	2.71853154738073	-0.5582743665	-1.569476703	1.058274367
-20	-65	2.68958561665273	-0.3425538786	-1.614897756	1.079454552
-15	-65	2.65481802643321	-0.1264990138	-1.638126150	1.090286130
-10	-65	2.61470496992809	0.08738855489	-1.640035787	1.091176608
-5	-65	2.56968602154335	0.2968828525	-1.621639619	1.082598334
-2.84217e-14	-65	2.52016884281957	0.5000000000	-1.584048647	1.065069376
5	-65	2.46653772988990	0.6949639386	-1.528448016	1.039142376
10	-65	2.40916157053038	0.8801758319	-1.456084284	1.005398613
15	-65	2.34840466573388	1.054189851	-1.368264682	0.9644476602
20	-65	2.28464644628790	1.215700483	-1.266370916	0.9169338168
25	-65	2.21828366379512	1.363537060	-1.151861201	0.8635370597
30	-65	2.14974917489643	1.496672797	-1.026287923	0.8049812785
35	-65	2.07952320835806	1.614244538	-0.8913061153	0.7420382281
40	-65	2.00813949655620	1.715580453	-0.7486723724	0.6755270214
45	-65	1.93619425797920	1.800237573	-0.6002375733	0.6063107378

-45	-60	2.72914607932261	-1.286645499	-1.086645499	1.031520260
-40	-60	2.72363058257735	-1.101110432	-1.208129110	1.101658855
-35	-60	2.71092607866812	-0.9056487675	-1.307474485	1.159015935
-30	-60	2.69174386516892	-0.7037844521	-1.385015832	1.203784452
-25	-60	2.66673849574846	-0.4985697815	-1.441439807	1.236360849
-20	-60	2.63650243832603	-0.2926027072	-1.477658041	1.257271456
-15	-60	2.60154716797783	-0.08806575239	-1.494691266	1.267105593
-10	-60	2.56230794327858	0.1132099144	-1.493595580	1.266472999
-5	-60	2.51915064031784	0.3096760074	-1.475413189	1.255975391
-2.84217e-14	-60	2.47238150941220	0.5000000000	-1.441145195	1.236190755
5	-60	2.42225945387047	0.6830037803	-1.391742780	1.207668257
10	-60	2.36901008282800	0.8576110416	-1.328112999	1.170931586
15	-60	2.31284552696826	1.022806298	-1.251139668	1.126491013
20	-60	2.25397147661950	1.177603733	-1.161700956	1.074853548
25	-60	2.19260435614312	1.321028555	-1.060701417	1.016541437
30	-60	2.12899710835043	1.452116452	-0.9491140690	0.9521164516
35	-60	2.06345313067275	1.569926020	-0.8280127128	0.8821985511
40	-60	1.99634339202398	1.673568197	-0.6986041147	0.8074844621
45	-60	1.92812139212329	1.762251747	-0.5622517469	0.7287613859

-45	-55	2.68494977935573	-1.201418507	-1.001418507	1.191346064
-40	-55	2.67392179470078	-1.014629576	-1.105065239	1.263920287
-35	-55	2.65673391571240	-0.8218388636	-1.187781538	1.321838864
-30	-55	2.63421519220649	-0.6262193414	-1.250669120	1.365873222
-25	-55	2.60707655613587	-0.4302855868	-1.295003879	1.396916755
-20	-55	2.57590194560611	-0.2359823321	-1.322094839	1.415886049
-15	-55	2.54115782282000	-0.04479288989	-1.333194745	1.423658287
-10	-55	2.50320633211136	0.1421538811	-1.329446189	1.421033520
-5	-55	2.46231869311942	0.3239856280	-1.311853478	1.408714971
-2.84217e-14	-55	2.41869044078859	0.5000000000	-1.281275219	1.387303844
5	-55	2.37245852277172	0.6695908812	-1.238432642	1.357305149
10	-55	2.32371689723602	0.8321871883	-1.183927162	1.319140000
15	-55	2.27253065569242	0.9872025390	-1.118264629	1.273162600
20	-55	2.21894912947950	1.133994379	-1.041885241	1.219681177
25	-55	2.16302568188009	1.271834494	-0.9552044148	1.158986609
30	-55	2.10484261513465	1.399894007	-0.8586621410	1.091386981
35	-55	2.04452339674781	1.517237920	-0.7527663083	1.017237920
40	-55	1.98226313415834	1.622843001	-0.6381521798	0.9369842436
45	-55	1.91835026016245	1.715634147	-0.5156341474	0.8511961937

-45	-50	2.63248250317089	-1.100866319	-0.9008663192	1.343286338
-40	-50	2.61594925013705	-0.9144861459	-0.9857189461	1.414486146
-35	-50	2.59453314671607	-0.7263945367	-1.051472913	1.469660275
-30	-50	2.56910553187353	-0.5391562929	-1.099871496	1.510271509
-25	-50	2.54034801167671	-0.3545590227	-1.132607738	1.537740477
-20	-50	2.50877588504450	-0.1737904882	-1.151224152	1.553361503
-15	-50	2.47476446884804	0.002401674939	-1.157062231	1.558260233
-10	-50	2.43857341888135	0.1735757495	-1.151243918	1.553378088
-5	-50	2.40036444230974	0.3394871686	-1.134670058	1.539470969
-2.84217e-14	-50	2.36022033990998	0.5000000000	-1.108033676	1.517120391
5	-50	2.31816458159096	0.6550161109	-1.071842256	1.486752183
10	-50	2.27417622260352	0.8044182567	-1.026441725	1.448656615
15	-50	2.22819729308521	0.9480213188	-0.9720383245	1.403006741
20	-50	2.18014610492226	1.085529268	-0.9087284432	1.349883443
25	-50	2.12994333484651	1.216501159	-0.8365416940	1.289311569
30	-50	2.07751566494900	1.340317165	-0.7554720240	1.221286039
35	-50	2.02282093597911	1.456155271	-0.6655312447	1.145816764
40	-50	1.96588111474679	1.562983772	-0.5668147292	1.062983772
45	-50	1.90680239030364	1.659565437	-0.4595654369	0.9729909304

-45	-45	2.57133633853601	-0.9845617272	-0.7845617272	1.484561727
-40	-45	2.54971631880474	-0.8010529387	-0.8505345138	1.550534514
-35	-45	2.52470428730564	-0.6202431194	-0.8998729780	1.599872978
-30	-45	2.49709923028903	-0.4438147946	-0.9347351772	1.634735177
-25	-45	2.46746918782866	-0.2726771514	-0.9570114985	1.657011499
-20	-45	2.43620017654595	-0.1072072277	-0.9682881470	1.668288147
-15	-45	2.40353574038184	0.05256550697	-0.9698482610	1.669848261
-10	-45	2.36960957790760	0.2068223530	-0.9626930593	1.662693059
-5	-45	2.33447008903737	0.3558563108	-0.9475699065	1.647569906
-2.84217e-14	-45	2.29809442719185	0.5000000000	-0.9249981533	1.624998153
5	-45	2.26040861100256	0.6395707051	-0.8953004587	1.595300459
10	-45	2.22129987438725	0.7748281728	-0.8586280197	1.558628020
15	-45	2.18061719840187	0.9059366933	-0.8149763640	1.514976364
20	-45	2.13818469515229	1.032928785	-0.7642098040	1.464209804
25	-45	2.09381331907318	1.155668455	-0.7060855400	1.406085540
30	-45	2.04730887489522	1.273810020	-0.6402782700	1.340278270
35	-45	1.99849397654826	1.386756971	-0.5664202006	1.266420201
40	-45	1.94722131875621	1.493615643	-0.4841450119	1.184145012
45	-45	1.89341859607969	1.593165736	-0.3931657361	1.093165736