path: root/test/Kerr/h.t0.ah1.gp

# N_patches = 5

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.45658939435234	-0.9183125481	-0.7183125481	1.418312548
-40	-45	2.43432449396975	-0.7421715362	-0.7803623909	1.480362391
-35	-45	2.40873529172681	-0.5687862141	-0.8263849013	1.526384901
-30	-45	2.38062052641237	-0.3997899827	-0.8584819662	1.558481966
-25	-45	2.35055346010519	-0.2360655042	-0.8784975677	1.578497568
-20	-45	2.31888824653257	-0.07796798352	-0.8879539839	1.587953984
-15	-45	2.28584535416036	0.07447437124	-0.8880832665	1.588083266
-10	-45	2.25156841003959	0.2214268820	-0.8798666594	1.579866659
-5	-45	2.21615494022264	0.3631617726	-0.8640680961	1.564068096
-2.38542e-15	-45	2.17955214458896	0.5000000000	-0.8411761014	1.541176101
5	-45	2.14165384404347	0.6322380987	-0.8114883845	1.511488385
10	-45	2.10239302433713	0.7601165380	-0.7751941932	1.475194193
15	-45	2.06160908227914	0.8837825247	-0.7322958811	1.432295881
20	-45	2.01910224578899	1.003248251	-0.6826632050	1.382663205
25	-45	1.97471343308782	1.118372849	-0.6261048531	1.326104853
30	-45	1.92824684132949	1.228808801	-0.5623338727	1.262333873
35	-45	1.87952615942378	1.333969451	-0.4910318088	1.191031809
40	-45	1.82838798087162	1.432978127	-0.4118800347	1.111880035
45	-45	1.77479466704518	1.524678179	-0.3246781788	1.024678179

-45	-40	2.40856661000646	-0.9646984961	-0.5290279679	1.464698496
-40	-40	2.38472000362350	-0.7894567457	-0.5894567457	1.536714709
-35	-40	2.35744640571576	-0.6143274065	-0.6353636812	1.591424464
-30	-40	2.32747722871727	-0.4414220548	-0.6682281642	1.630590830
-25	-40	2.29538630940406	-0.2721552607	-0.6894586185	1.655892300
-20	-40	2.26157768470724	-0.1073996252	-0.7003035235	1.668816755
-15	-40	2.22632678792806	0.05235478178	-0.7018289591	1.670634698
-10	-40	2.18984018846023	0.2068708546	-0.6949343250	1.662417993
-5	-40	2.15228545661056	0.3560762580	-0.6803657975	1.645055898
-2.38542e-15	-40	2.11363821867627	0.5000000000	-0.6586204583	1.619140812
5	-40	2.07385229157396	0.6386789011	-0.6300627775	1.585107093
10	-40	2.03292853052543	0.7721251560	-0.5949811600	1.543298450
15	-40	1.99080946517419	0.9002899944	-0.5535331181	1.493902597
20	-40	1.94737537305558	1.023013240	-0.5057585353	1.436967066
25	-40	1.90254911574221	1.140007001	-0.4516637766	1.372499443
30	-40	1.85623589495086	1.250813537	-0.3912047601	1.300447193
35	-40	1.80842541270396	1.354813919	-0.3243734960	1.220800794
40	-40	1.75906777570095	1.451156449	-0.2511564486	1.133544115
45	-40	1.70827600974291	1.538837494	-0.1716881585	1.038837494

-45	-35	2.35932388473102	-0.9950735215	-0.3468617500	1.495073522
-40	-35	2.33338323265794	-0.8217332176	-0.4029531275	1.575180311
-35	-35	2.30402884613681	-0.6463529914	-0.4463529914	1.637161740
-30	-35	2.27195348368382	-0.4713397613	-0.4780360369	1.682409818
-25	-35	2.23772717950899	-0.2984903003	-0.4990129643	1.712367975
-20	-35	2.20178167115020	-0.1290893223	-0.5102448063	1.728408708
-15	-35	2.16444788084925	0.03596907463	-0.5126103048	1.731786990
-10	-35	2.12599551124068	0.1960780928	-0.5068964693	1.723626787
-5	-35	2.08663346553934	0.3508408030	-0.4937820277	1.704897423
-2.38542e-15	-35	2.04637986314583	0.5000000000	-0.4737552693	1.676296248
5	-35	2.00526298566945	0.6433425763	-0.4472292343	1.638413144
10	-35	1.96334247975932	0.7806698263	-0.4145607290	1.591757683
15	-35	1.92062644783540	0.9117586179	-0.3760117825	1.536704082
20	-35	1.87709360119209	1.036319998	-0.3317747720	1.473527084
25	-35	1.83274170825458	1.153978953	-0.2820147373	1.402462390
30	-35	1.78752545722072	1.264229798	-0.2268541018	1.323684838
35	-35	1.74155938849360	1.366500356	-0.1665003557	1.237490756
40	-35	1.69488462471685	1.460058887	-0.1011449947	1.144153627
45	-35	1.64766096642321	1.544101787	-0.03108794168	1.044101787

-45	-30	2.30954875717027	-1.011954572	-0.1729273789	1.511954572
-40	-30	2.28111174551588	-0.8409718031	-0.2226680631	1.598107964
-35	-30	2.24933719115901	-0.6663092090	-0.2616705034	1.665662172
-30	-30	2.21493992107035	-0.4905512459	-0.2905512459	1.715685085
-25	-30	2.17848468015825	-0.3157413914	-0.3099952332	1.749363059
-20	-30	2.14042914537460	-0.1434698905	-0.3207085072	1.767918994
-15	-30	2.10115565287714	0.02504505968	-0.3233856656	1.772555969
-10	-30	2.06099052278250	0.1888856772	-0.3186866315	1.764417003
-5	-30	2.02016147184762	0.3473750673	-0.3071938744	1.744510963
-2.38542e-15	-30	1.97874072378214	0.5000000000	-0.2893703619	1.713639734
5	-30	1.93681612424182	0.6463281202	-0.2656403032	1.672538067
10	-30	1.89450154499296	0.7859821813	-0.2363960562	1.621885545
15	-30	1.85185821013764	0.9186025935	-0.2019632336	1.562246147
20	-30	1.80894110525318	1.043815775	-0.1626314864	1.494121563
25	-30	1.76580481390668	1.161211937	-0.1186674256	1.417973576
30	-30	1.72244700883911	1.270301720	-0.07030171988	1.334201716
35	-30	1.67901495279732	1.370590061	-0.01783775294	1.243331460
40	-30	1.63561798387083	1.461512561	0.03842238103	1.145886049
45	-30	1.59242213392900	1.542484995	0.09812100734	1.042484995

-45	-25	2.25967482622682	-1.017468663	-0.007607258673	1.517468663
-40	-25	2.22840411728386	-0.8489125092	-0.04962282171	1.607571329
-35	-25	2.19397621733118	-0.6755704413	-0.08287860321	1.678888582
-30	-25	2.15711541090664	-0.5000879521	-0.1077395920	1.732203145
-25	-25	2.11839584941222	-0.3246525694	-0.1246525694	1.768473142
-20	-25	2.07830159544483	-0.1510597987	-0.1341181269	1.788772096
-15	-25	2.03725901148590	0.01923606485	-0.1366657227	1.794235432
-10	-25	1.99564043140506	0.1850795437	-0.1328267172	1.786002659
-5	-25	1.95369403136472	0.3455730563	-0.1230833983	1.765108044
-2.38542e-15	-25	1.91153772211794	0.5000000000	-0.1078507494	1.732441523
5	-25	1.86930549461659	0.6477565728	-0.08753084892	1.688865356
10	-25	1.82715051787474	0.7883320391	-0.06251199551	1.635212251
15	-25	1.78516920081689	0.9212743520	-0.03313696054	1.572217286
20	-25	1.74343756336859	1.046158513	0.0002782281635	1.500558182
25	-25	1.70209355458767	1.162593737	0.03740626260	1.420936855
30	-25	1.66114077036614	1.270142785	0.07797988864	1.333926434
35	-25	1.62072708745163	1.368413633	0.1216744246	1.240223199
40	-25	1.58094584586470	1.456988731	0.1681785603	1.140494758
45	-25	1.54197232978079	1.535500623	0.2171381295	1.035500623

-45	-20	2.20994742404914	-1.013352281	0.1491848159	1.513352281
-40	-20	2.17559543334059	-0.8470657991	0.1156929210	1.605370506
-35	-20	2.13837225876090	-0.6753908001	0.08902790743	1.678632028
-30	-20	2.09900004059482	-0.5009521701	0.06898479956	1.733700015
-25	-20	2.05806317958435	-0.3259955188	0.05528019494	1.771353106
-20	-20	2.01606644428808	-0.1524305059	0.04756949412	1.792538083
-15	-20	1.97346730999631	0.01814068722	0.04546379720	1.798323437
-10	-20	1.93067167775527	0.1844037950	0.04855332865	1.789835020
-5	-20	1.88795495966491	0.3453084853	0.05645254393	1.768132104
-2.38542e-15	-20	1.84547025260190	0.5000000000	0.06881199970	1.734174778
5	-20	1.80338431877800	0.6477621330	0.08528014945	1.688928909
10	-20	1.76187186221477	0.7880034341	0.1055097129	1.633348640
15	-20	1.72103792031571	0.9202239101	0.1291865796	1.568296983
20	-20	1.68097713031754	1.043990384	0.1560096158	1.494601297
25	-20	1.64182104066796	1.158938382	0.1856744187	1.413097921
30	-20	1.60361122970522	1.264715631	0.2179118428	1.324526326
35	-20	1.56648636340805	1.361044494	0.2524261749	1.229698978
40	-20	1.53049541956470	1.447638519	0.2889496299	1.129351610
45	-20	1.49577073904277	1.524290458	0.3271887621	1.024290458

-45	-15	2.16042496105616	-1.000947876	0.2978222288	1.500947876
-40	-15	2.12287516184917	-0.8366896066	0.2731556929	1.593004641
-35	-15	2.08282926114944	-0.6668842884	0.2534670999	1.666483471
-30	-15	2.04099818997412	-0.4940854635	0.2386433308	1.721806530
-25	-15	1.99797855654984	-0.3205339446	0.2285056894	1.759640723
-20	-15	1.95428572973375	-0.1481742840	0.2228242323	1.780844209
-15	-15	1.91039120365489	0.02132701738	0.2213270174	1.786431891
-10	-15	1.86671942845844	0.1865760944	0.2237162115	1.777515297
-5	-15	1.82357682588850	0.3464413190	0.2296999301	1.755183756
-2.38542e-15	-15	1.78113963577374	0.5000000000	0.2390071403	1.720448774
5	-15	1.73959317587681	0.6464866354	0.2513592954	1.674349904
10	-15	1.69911470325645	0.7852829184	0.2664796886	1.617919828
15	-15	1.65979908430469	0.9158839178	0.2841160822	1.552099911
20	-15	1.62175761606875	1.037885308	0.3040172510	1.477827738
25	-15	1.58508656118830	1.150966610	0.3259422840	1.396002401
30	-15	1.54981520484166	1.254850628	0.3496726042	1.307439641
35	-15	1.51605912183126	1.349356979	0.3749756261	1.213007477
40	-15	1.48384718933917	1.434319244	0.4016443846	1.113478315
45	-15	1.45327216645695	1.509655883	0.4294635216	1.009655883

-45	-10	2.11112910895271	-0.9813240753	0.4388025984	1.481324075
-40	-10	2.07036543920355	-0.8188285755	0.4228635884	1.571718693
-35	-10	2.02757343363969	-0.6510236994	0.4101480310	1.643832202
-30	-10	1.98342985937267	-0.4803506906	0.4005937530	1.698017205
-25	-10	1.93854436409914	-0.3089992132	0.3940895433	1.734904411
-20	-10	1.89342834333673	-0.1388800364	0.3904917566	1.755308474
-15	-10	1.84854895736425	0.02835231304	0.3896269332	1.760213131
-10	-10	1.80433176120754	0.1913007227	0.3913007227	1.750720599
-5	-10	1.76110970703257	0.3488237314	0.3953153252	1.727952657
-2.38542e-15	-10	1.71906609406791	0.5000000000	0.4014873055	1.692949617
5	-10	1.67838950576177	0.6440754439	0.4096265163	1.646789859
10	-10	1.63923927249656	0.7804539551	0.4195460449	1.590533417
15	-10	1.60170293659919	0.9086662040	0.4310726067	1.525163037
20	-10	1.56588875723109	1.028361725	0.4440328385	1.451661910
25	-10	1.53183844608020	1.139271466	0.4582694483	1.370922083
30	-10	1.49959248859345	1.241204195	0.4736308360	1.283803324
35	-10	1.46920118790365	1.334043965	0.4899701929	1.191138227
40	-10	1.44067402082330	1.417713381	0.5071532586	1.093688219
45	-10	1.41403462908353	1.492191113	0.5250499368	0.9921911126

-45	-5	2.06202234690366	-0.9552878536	0.5726788106	1.455287854
-40	-5	2.01814275096732	-0.7943335278	0.5650464065	1.542526632
-35	-5	1.97276177207437	-0.6286349938	0.5589807138	1.611857817
-30	-5	1.92653443590225	-0.4605141518	0.5544486702	1.663659312
-25	-5	1.88006029267654	-0.2920618019	0.5513933296	1.698582016
-20	-5	1.83384316209600	-0.1251023605	0.5497421906	1.717454620
-15	-5	1.78833303257534	0.03878929683	0.5494091075	1.721261777
-10	-5	1.74393839945265	0.1982860852	0.5502977419	1.711104640
-5	-5	1.70100098190020	0.3523078786	0.5523078786	1.688128673
-2.38542e-15	-5	1.65968574388429	0.5000000000	0.5553488563	1.653370139
5	-5	1.62015569165076	0.6406726002	0.5593273998	1.607895178
10	-5	1.58254924582009	0.7737924278	0.5641516262	1.552754018
15	-5	1.54696389107409	0.8989616537	0.5697341777	1.488945162
20	-5	1.51346640033515	1.015895491	0.5759925873	1.417411214
25	-5	1.48205286374661	1.124382881	0.5828532562	1.338993409
30	-5	1.45277613339029	1.224312013	0.5902415165	1.254545207
35	-5	1.42561362097721	1.315606549	0.5980926040	1.164806867
40	-5	1.40057622637193	1.398257949	0.6063431987	1.070502138
45	-5	1.37762252471661	1.472267507	0.6149376152	0.9722675072

-45	-2.38542e-15	2.01297134993978	-0.9233856919	0.7000000000	1.423385692
-40	-2.38542e-15	1.96616661650599	-0.7638275397	0.7000000000	1.506171011
-35	-2.38542e-15	1.91840650717931	-0.6003527679	0.7000000000	1.571466612
-30	-2.38542e-15	1.87039163338537	-0.4351958167	0.7000000000	1.619806670
-25	-2.38542e-15	1.82267508456614	-0.2702957760	0.7000000000	1.651904622
-20	-2.38542e-15	1.77573473806650	-0.1073370496	0.7000000000	1.668644830
-15	-2.38542e-15	1.72998470132849	0.05224701156	0.7000000000	1.671036902
-10	-2.38542e-15	1.68579721365377	0.2072643859	0.7000000000	1.660186166
-5	-2.38542e-15	1.64348652004551	0.3567607116	0.7000000000	1.637232558
-2.38542e-15	-2.38542e-15	1.60319659502490	0.5000000000	0.7000000000	1.603196595
5	-2.38542e-15	1.56505046136247	0.6364031354	0.7000000000	1.559094972
10	-2.38542e-15	1.52918815034007	0.7655407356	0.7000000000	1.505956346
15	-2.38542e-15	1.49566405190874	0.8871063417	0.7000000000	1.444700535
20	-2.38542e-15	1.46449991655270	1.000888471	0.7000000000	1.376179765
25	-2.38542e-15	1.43568483251683	1.106746628	0.7000000000	1.301172343
30	-2.38542e-15	1.40924859100600	1.204624296	0.7000000000	1.220445080
35	-2.38542e-15	1.38511704545941	1.294470499	0.7000000000	1.134621459
40	-2.38542e-15	1.36329880824797	1.376311582	0.7000000000	1.044347476
45	-2.38542e-15	1.34372503335132	1.450157083	0.7000000000	0.9501570831

-45	5	1.96382094662337	-0.8859814733	0.8212576668	1.385981473
-40	5	1.91436229736047	-0.7277740535	0.8280137746	1.463204139
-35	5	1.86456220731560	-0.5667330364	0.8332848371	1.523452660
-30	5	1.81509801222111	-0.4049551854	0.8371322124	1.567428360
-25	5	1.76654277918595	-0.2442373323	0.8396338413	1.596022110
-20	5	1.71930001553913	-0.08605802302	0.8408725999	1.610181185
-15	5	1.67372439545818	0.06834683961	0.8409399960	1.610951526
-10	5	1.63012763580813	0.2179761677	0.8399325734	1.599436633
-5	5	1.58876568604077	0.3620528870	0.8379471130	1.576742716
-2.38542e-15	5	1.54976487266480	0.5000000000	0.8350709086	1.543867549
5	5	1.51322511509179	0.6313881825	0.8313881825	1.501773798
10	5	1.47923441863654	0.7559182179	0.8269796759	1.451384337
15	5	1.44779881940911	0.8733870031	0.8219153884	1.393499266
20	5	1.41891678850491	0.9836663528	0.8162603939	1.328862383
25	5	1.39258383971611	1.086689943	0.8100747931	1.258160642
30	5	1.36878045343947	1.182434205	0.8034125378	1.182010716
35	5	1.34743763862752	1.270881356	0.7963191282	1.100932673
40	5	1.32853959521554	1.352057338	0.7888396980	1.015442394
45	5	1.31201425672935	1.425963976	0.7810113508	0.9259639763

-45	10	1.91441685703212	-0.8432962335	0.9368593690	1.343296233
-40	10	1.86264985966459	-0.6865131704	0.9493318757	1.414031333
-35	10	1.81123228951499	-0.5282100050	0.9589248984	1.468436069
-30	10	1.76077769465458	-0.3703003138	0.9657960597	1.507404361
-25	10	1.71180398879940	-0.2143752322	0.9701298715	1.531982629
-20	10	1.66470452701244	-0.06170411334	0.9721200280	1.543269368
-15	10	1.61973296090058	0.08673352877	0.9719546509	1.542331468
-10	10	1.57711343195672	0.2301750226	0.9698249774	1.530253489
-5	10	1.53704081882756	0.3680581370	0.9659191419	1.508102395
-2.38542e-15	10	1.49959782824293	0.5000000000	0.9604024301	1.476815568
5	10	1.46483011311174	0.6257431889	0.9534261693	1.437251226
10	10	1.43277304244299	0.7451300877	0.9451300877	1.390201810
15	10	1.40340277933903	0.8580709465	0.9356326149	1.336338965
20	10	1.37672555227523	0.9645343321	0.9250457002	1.276297588
25	10	1.35270129845403	1.064513408	0.9134619561	1.210602911
30	10	1.33128463727802	1.158014604	0.9009624566	1.139714726
35	10	1.31244135196195	1.245053706	0.8876201886	1.064046965
40	10	1.29612129645532	1.325632891	0.8734971027	0.9839509641
45	10	1.28227947747018	1.399741969	0.8586487848	0.8997419690

-45	15	1.86462493914032	-0.7954418192	1.047112589	1.295441819
-40	15	1.81093035753071	-0.6402704364	1.064121889	1.358921389
-35	15	1.75838667568354	-0.4851185707	1.076976412	1.406895123
-30	15	1.70747202402812	-0.3316387182	1.085964872	1.440440513
-25	15	1.65860512839590	-0.1811593669	1.091407044	1.460750976
-20	15	1.61211451747335	-0.03468699958	1.093628204	1.469040458
-15	15	1.56818126822381	0.1070720994	1.092927901	1.466426889
-10	15	1.52691819531304	0.2436290334	1.089585265	1.453952002
-5	15	1.48843436373828	0.3746627976	1.083866901	1.432610779
-2.38542e-15	15	1.45275622875417	0.5000000000	1.076000980	1.403254761
5	15	1.41986469550897	0.6195631282	1.066182799	1.366612809
10	15	1.38976848647617	0.7333434046	1.054592227	1.323356208
15	15	1.36243210272930	0.8413748121	1.041374812	1.274028143
20	15	1.33782100092008	0.9437125832	1.026654262	1.219090303
25	15	1.31588661063680	1.040411021	1.010530385	1.158915174
30	15	1.29659960468852	1.131519825	0.9930893706	1.093824422
35	15	1.27994124843190	1.217074299	0.9744036145	1.024088231
40	15	1.26584928084435	1.297054677	0.9545230020	0.9498927753
45	15	1.25431687162420	1.371432370	0.9334995998	0.8714323701

-45	20	1.81432024939103	-0.7424303208	1.152207655	1.242430321
-40	20	1.75918216690720	-0.5892347424	1.172469549	1.298099417
-35	20	1.70602410611220	-0.4377436650	1.187442312	1.339236746
-30	20	1.65522351995151	-0.2893280335	1.197604183	1.367156258
-25	20	1.60703570262936	-0.1449774244	1.203428542	1.383158550
-20	20	1.56164668722491	-0.005373193941	1.205373194	1.388501439
-15	20	1.51917662051345	0.1290643384	1.203862462	1.384350736
-10	20	1.47961629035981	0.2581353208	1.199251695	1.371682758
-5	20	1.44298213915889	0.3817677871	1.191869512	1.351400378
-2.38542e-15	20	1.40924598373587	0.5000000000	1.181990513	1.324258052
5	20	1.37834748356405	0.6129363065	1.169837488	1.290867890
10	20	1.35023936448607	0.7207161498	1.155597370	1.251743488
15	20	1.32486273694556	0.8234902573	1.139414740	1.207282076
20	20	1.30215688093977	0.9213982505	1.121398251	1.157782178
25	20	1.28210308938246	1.014567005	1.101638425	1.103492503
30	20	1.26466503527056	1.103082033	1.080191922	1.044568722
35	20	1.24984386781420	1.186996840	1.057103269	0.9811331672
40	20	1.23761215320071	1.266293668	1.032389713	0.9132332315
45	20	1.22799625429389	1.340920880	1.006070170	0.8409208797

-45	25	1.76332498359775	-0.6841484335	1.252177483	1.184148434
-40	25	1.70737525278719	-0.5335198264	1.274351593	1.231700966
-35	25	1.65420765685424	-0.3863531016	1.290272479	1.265843415
-30	25	1.60409975418553	-0.2436972681	1.300660899	1.288121454
-25	25	1.55715040871022	-0.1061700347	1.306170035	1.299935834
-20	25	1.51337791553746	0.02591119439	1.307388242	1.302548288
-15	25	1.47278183404247	0.1524445904	1.304845074	1.297094447
-10	25	1.43526361014365	0.2735093637	1.298968563	1.284492228
-5	25	1.40073578243631	0.3892808483	1.290124323	1.265525695
-2.38542e-15	25	1.36910729183480	0.5000000000	1.278609744	1.240832600
5	25	1.34026734121890	0.6059395105	1.264649213	1.210894146
10	25	1.31412194718718	0.7073739722	1.248413356	1.176076238
15	25	1.29060442032967	0.8045641503	1.230028079	1.136648883
20	25	1.26965508459545	0.8977388968	1.209571047	1.092778638
25	25	1.25126146589750	0.9870930913	1.187093091	1.044574505
30	25	1.23539657284028	1.072758056	1.162598672	0.9920460528
35	25	1.22208349153561	1.154813493	1.136077205	0.9351705842
40	25	1.21135724291948	1.233266882	1.107493878	0.8738734405
45	25	1.20326809771063	1.308046189	1.076798126	0.8080461890

-45	30	1.71152979620710	-0.6204592636	1.346897457	1.120459264
-40	30	1.65547435996939	-0.4731853083	1.369609161	1.159797087
-35	30	1.60303117261700	-0.3311915289	1.385352023	1.187064525
-30	30	1.55425070577034	-0.1950820464	1.395082046	1.203917420
-25	30	1.50910624772458	-0.06509023980	1.399656110	1.211839930
-20	30	1.46744029986488	0.05884844352	1.399779669	1.212053940
-15	30	1.42910411927904	0.1769586962	1.396057271	1.205606559
-10	30	1.39392014492103	0.2895824764	1.388973482	1.193337076
-5	30	1.36170094941148	0.3971223248	1.378904570	1.175897208
-2.38542e-15	30	1.33229775985807	0.5000000000	1.366148880	1.153803705
5	30	1.30555848792170	0.5986360641	1.350913568	1.127415371
10	30	1.28136254208187	0.6934265273	1.333339590	1.096976348
15	30	1.25962766634704	0.7847320627	1.313512329	1.062634525
20	30	1.24028762960415	0.8728634264	1.291457156	1.024433845
25	30	1.22333224633265	0.9580811414	1.267164758	0.9823581779
30	30	1.20876729876254	1.040577170	1.240577170	0.9363071235
35	30	1.19664205911365	1.120473737	1.211606431	0.8861283311
40	30	1.18705532203597	1.197821016	1.180142210	0.8316307026
45	30	1.18010134110995	1.272557675	1.146036381	0.7725576748

-45	35	1.65892815493089	-0.5512416606	1.436087335	1.051241661
-40	35	1.60352050280485	-0.4083061385	1.457958628	1.082477104
-35	35	1.55253171594573	-0.2724509959	1.472450996	1.103174350
-30	35	1.50575806048484	-0.1437643577	1.480754215	1.115032576
-25	35	1.46295989563148	-0.02202935957	1.483879240	1.119495574
-20	35	1.42385630077549	0.09317819428	1.482645580	1.117733725
-15	35	1.38814026065287	0.2023998520	1.477691715	1.110658873
-10	35	1.35555659666235	0.3062162672	1.469529598	1.099002161
-5	35	1.32583399031831	0.4052251693	1.458521712	1.083281272
-2.38542e-15	35	1.29876828260350	0.5000000000	1.444942883	1.063888694
5	35	1.27417340244149	0.5910819675	1.428966219	1.041071653
10	35	1.25190462674697	0.6789661548	1.410687895	1.014967500
15	35	1.23186831488335	0.7640973706	1.390141918	0.9856248051
20	35	1.21400112072943	0.8468623398	1.367295296	0.9529964464
25	35	1.19829811705107	0.9275898475	1.342068877	0.9169693870
30	35	1.18479828519916	1.006542802	1.314332594	0.8773578692
35	35	1.17356909073213	1.083900866	1.283900866	0.8338968574
40	35	1.16475908893078	1.159771938	1.250563089	0.7862855778
45	35	1.15853956865898	1.234151781	1.214058611	0.7341517813

-45	40	1.60550172509844	-0.4763383551	1.519245154	0.9763383551
-40	40	1.55167049250071	-0.3390133771	1.539013377	0.9998972064
-35	40	1.50291072939477	-0.2104019889	1.551316237	1.014559184
-30	40	1.45881732298315	-0.09006497885	1.557578722	1.022022523
-25	40	1.41891311766675	0.02268547398	1.558905994	1.023604304
-20	40	1.38278251347186	0.1286213885	1.556178958	1.020354349
-15	40	1.35000071165520	0.2285567571	1.550041469	1.013039974
-10	40	1.32022511328479	0.3232763919	1.540987090	1.002249386
-5	40	1.29313088366504	0.4135280894	1.529348002	0.9883784611
-2.38542e-15	40	1.26847139607296	0.5000000000	1.515357697	0.9717054642
5	40	1.24603733472844	0.5833227560	1.499144609	0.9523834585
10	40	1.22566803439491	0.6640663211	1.480753966	0.9304663440
15	40	1.20726403323608	0.7427433271	1.460165889	0.9059304298
20	40	1.19076602566858	0.8198080891	1.437287900	0.8786655034
25	40	1.17616560695795	0.8956556058	1.411964445	0.8484861849
30	40	1.16352389656238	0.9706241780	1.383987858	0.8151449875
35	40	1.15294076716192	1.044976756	1.353077509	0.7783074680
40	40	1.14458870491900	1.118897659	1.318897659	0.7375735081
45	40	1.13871560482777	1.192476192	1.281056517	0.6924761918

-45	45	1.55137649327902	-0.3956876360	1.595687636	0.8956876360
-40	45	1.50009086510972	-0.2654567741	1.612235861	0.9122358605
-35	45	1.45439118007711	-0.1453317011	1.621629183	0.9216291826
-30	45	1.41360641731898	-0.03429300456	1.625422630	0.9254226300
-25	45	1.37709617215299	0.06876837499	1.624779204	0.9247792042
-20	45	1.34429148471629	0.1649439921	1.620558816	0.9205588160
-15	45	1.31469567961961	0.2552604752	1.613380341	0.9133803411
-10	45	1.28789511157497	0.3406564263	1.603682313	0.9036823125
-5	45	1.26353294421059	0.4219821660	1.591747924	0.8917479237
-2.38542e-15	45	1.24133590738502	0.5000000000	1.577757038	0.8777570378
5	45	1.22108130702724	0.5753966244	1.561787360	0.8617873599
10	45	1.20259913871452	0.6487904122	1.543832359	0.8438323594
15	45	1.18578342445438	0.7207416334	1.523818991	0.8238189913
20	45	1.17057777374978	0.7917589825	1.501601216	0.8016012165
25	45	1.15697205720670	0.8623007241	1.476956410	0.7769564101
30	45	1.14503192086119	0.9327813865	1.449599350	0.7495993501
35	45	1.13488357742180	1.003562150	1.419161281	0.7191612807
40	45	1.12671474922719	1.074932797	1.385178227	0.6851782267
45	45	1.12082880607116	1.147110813	1.347110813	0.6471108129


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.77479592752423	1.524678907	-0.3246789065	1.024678907
45	-40	1.70827627210851	1.538837654	-0.1716882923	1.038837654
45	-35	1.64766032782188	1.544101382	-0.03108765832	1.044101382
45	-30	1.59242316228386	1.542485669	0.09812061866	1.042485669
45	-25	1.54197178086530	1.535500254	0.2171383014	1.035500254
45	-20	1.49577089439830	1.524290564	0.3271887233	1.024290564
45	-15	1.45327231132512	1.509655984	0.4294634946	1.009655984
45	-10	1.41403474240088	1.492191192	0.5250499228	0.9921911921
45	-5	1.37762251955197	1.472267504	0.6149376155	0.9722675036
45	-2.38542e-15	1.34372504391192	1.450157091	0.7000000000	0.9501570906
45	5	1.31201425001812	1.425963972	0.7810113503	0.9259639716
45	10	1.28227943157831	1.399741937	0.8586487791	0.8997419368
45	15	1.25431697067607	1.371432439	0.9334996183	0.8714324389
45	20	1.22799626133119	1.340920885	1.006070171	0.8409208845
45	25	1.20326799147048	1.308046118	1.076798093	0.8080461177
45	30	1.18010126913734	1.272557628	1.146036354	0.7725576276
45	35	1.15853978697514	1.234151920	1.214058708	0.7341519197
45	40	1.13871570417738	1.192476252	1.281056568	0.6924762523
45	45	1.12082900244825	1.147110926	1.347110926	0.6471109263

50	-45	1.78864707080642	1.587712776	-0.3877127765	0.9126993896
50	-40	1.71878252889440	1.607584282	-0.2293735629	0.9293735629
50	-35	1.65438122388731	1.616811286	-0.08199968156	0.9371159386
50	-30	1.59515575264052	1.617538900	0.05478861499	0.9377264792
50	-25	1.54072468221341	1.611479200	0.1817087373	0.9326417865
50	-20	1.49069309280719	1.599981498	0.2996394765	0.9229940693
50	-15	1.44459271071489	1.584021771	0.4095372419	0.9096022682
50	-10	1.40208398469362	1.564392578	0.5123188704	0.8931314198
50	-5	1.36275735958554	1.541596051	0.6088721536	0.8740028622
50	-2.38542e-15	1.32634829035136	1.516041737	0.7000000000	0.8525602472
50	5	1.29254268083856	1.487928880	0.7864325774	0.8289707589
50	10	1.26115871547057	1.457409108	0.8688170573	0.8033616292
50	15	1.23200335748995	1.424494808	0.9477176373	0.7757432528
50	20	1.20495567769715	1.389136039	1.023619052	0.7460737221
50	25	1.17997087915669	1.351231309	1.096935678	0.7142678776
50	30	1.15703185128207	1.310596771	1.167998264	0.6801714519
50	35	1.13620439456887	1.267009365	1.237065739	0.6435972751
50	40	1.11761560183312	1.220192028	1.304312865	0.6043128647
50	45	1.10144780353959	1.169812882	1.369812882	0.5620397418

55	-45	1.80060896870624	1.641022989	-0.4410229893	0.7989528984
55	-40	1.72809882284108	1.666575298	-0.2788729024	0.8168448177
55	-35	1.66054876378117	1.679927459	-0.1261941017	0.8261941017
55	-30	1.59789698462211	1.683262595	0.01684302218	0.8285293888
55	-25	1.53998250933749	1.678435314	0.1504865885	0.8251492900
55	-20	1.48652336709350	1.666927659	0.2752730665	0.8170915436
55	-15	1.43719217652903	1.649905588	0.3918837263	0.8051725609
55	-10	1.39173579074671	1.628334033	0.5010442667	0.7900679955
55	-5	1.34979181800443	1.602856170	0.6035125876	0.7722282040
55	-2.38542e-15	1.31114617279561	1.574028068	0.7000000000	0.7520425493
55	5	1.27550814468825	1.542162213	0.7911773792	0.7297298373
55	10	1.24273041176842	1.507529609	0.8776546540	0.7054798273
55	15	1.21262470907456	1.470227887	0.9599717789	0.6793608805
55	20	1.18508796201407	1.430299484	1.038601321	0.6514027116
55	25	1.16006600678590	1.387713166	1.113947447	0.6215834505
55	30	1.13753508092006	1.342358878	1.186336125	0.5898260366
55	35	1.11756504469565	1.294102355	1.256036455	0.5560364551
55	40	1.10024825786295	1.242736713	1.323230102	0.5200698454
55	45	1.08572710297454	1.188011448	1.388011448	0.4817508026

60	-45	1.81074651375006	1.685411852	-0.4854118519	0.6843978518
60	-40	1.73619103907472	1.716345815	-0.3206353252	0.7022575840
60	-35	1.66607615498079	1.733750119	-0.1638811335	0.7123059633
60	-30	1.60055057538406	1.739781145	-0.01578797760	0.7157879776
60	-25	1.53963428375265	1.736354501	0.1234784278	0.7138096042
60	-20	1.48317483622496	1.725050112	0.2541182237	0.7072830120
60	-15	1.43099553919018	1.707202180	0.3765311509	0.6969785034
60	-10	1.38291557601413	1.683916049	0.4912436578	0.6835342493
60	-5	1.33865269812139	1.655993885	0.5988636400	0.6674133807
60	-2.38542e-15	1.29805542119384	1.624148970	0.7000000000	0.6490277106
60	5	1.26084846339579	1.588806018	0.7952581833	0.6286224475
60	10	1.22691539741962	1.550364067	0.8852075246	0.6064279770
60	15	1.19607646750602	1.509022096	0.9703666558	0.5825591789
60	20	1.16823814997803	1.464923515	1.051203438	0.5570988513
60	25	1.14332654256820	1.418112134	1.128122719	0.5300722876
60	30	1.12129807321091	1.368553753	1.201459743	0.5014597429
60	35	1.10220179210310	1.316194139	1.271505288	0.4712299056
60	40	1.08609680517805	1.260900888	1.338471655	0.4393063328
60	45	1.07308213233071	1.202497157	1.402497157	0.4055869226

65	-45	1.81913782086027	1.721629150	-0.5216291500	0.5696550281
65	-40	1.74302627993206	1.757419627	-0.3551003450	0.5863444014
65	-35	1.67086430025282	1.778589519	-0.1952780195	0.5962160844
65	-30	1.60298677057091	1.787227708	-0.04318126349	0.6002441378
65	-25	1.53954251739355	1.785236465	0.1006843938	0.5993156062
65	-20	1.48052701479094	1.774273867	0.2362022421	0.5942036628
65	-15	1.42590767773922	1.755811885	0.3635062197	0.5855946990
65	-10	1.37556830132606	1.731067784	0.4829295346	0.5740563353
65	-5	1.32931391226007	1.700998028	0.5949262876	0.5600345780
65	-2.38542e-15	1.28704874917619	1.666462304	0.7000000000	0.5439303052
65	5	1.24852956647747	1.628011626	0.7986882296	0.5260004596
65	10	1.21366586961402	1.586172857	0.8915215805	0.5064907215
65	15	1.18226572974112	1.541233859	0.9789977717	0.4855353225
65	20	1.15424939943439	1.493450191	1.061586299	0.4632534321
65	25	1.12952255583715	1.442944778	1.139702371	0.4397023711
65	30	1.10802428077800	1.389763772	1.213705353	0.4149036607
65	35	1.08976317514073	1.333915581	1.283913976	0.3888612218
65	40	1.07476162592967	1.275333326	1.350581908	0.3615438674
65	45	1.06306539474471	1.213894054	1.413894054	0.3328942647

70	-45	1.82587339694392	1.750341813	-0.5503418132	0.4550872027
70	-40	1.74861668722351	1.790303157	-0.3826929028	0.4696319422
70	-35	1.67487089353500	1.814781331	-0.2206197992	0.4785412691
70	-30	1.60511453611673	1.825768004	-0.06543251410	0.4825400911
70	-25	1.53961658121805	1.825131629	0.08208097336	0.4823084694
70	-20	1.47850162515418	1.814574961	0.2215338433	0.4784661567
70	-15	1.42186486705517	1.795675334	0.3528248407	0.4715872547
70	-10	1.36964419563362	1.769732795	0.4761118500	0.4621449429
70	-5	1.32173093460008	1.737844625	0.5917026281	0.4505385980
70	-2.38542e-15	1.27808228251031	1.701004490	0.7000000000	0.4371298854
70	5	1.23848976762589	1.659886526	0.8014769220	0.4221641704
70	10	1.20288876282913	1.615141667	0.8966295631	0.4058783736
70	15	1.17108381920768	1.567150932	0.9859422304	0.3884111747
70	20	1.14299088636352	1.516263476	1.069889655	0.3698896553
70	25	1.11848866981978	1.462671311	1.148901005	0.3503837027
70	30	1.09749519390875	1.406492328	1.223363590	0.3299362250
70	35	1.07997260481153	1.347783447	1.293624360	0.3085679397
70	40	1.06590489596619	1.286530554	1.359977498	0.2862737100
70	45	1.05529931253452	1.222659555	1.422659555	0.2630265674

75	-45	1.83102743172415	1.772100065	-0.5721000655	0.3408581852
75	-40	1.75292631245368	1.815395178	-0.4037476085	0.3524590756
75	-35	1.67799382993336	1.842572353	-0.2400792819	0.3597411777
75	-30	1.60680780212527	1.855519167	-0.08260935587	0.3632102661
75	-25	1.53972507075924	1.856052059	0.06766253982	0.3633530542
75	-20	1.47697607566231	1.845895460	0.2101341141	0.3606316017
75	-15	1.41876589701351	1.826706614	0.3445100342	0.3554899658
75	-10	1.36507883882657	1.799846394	0.4708020099	0.3482927916
75	-5	1.31587216112486	1.766520505	0.5891938137	0.3393631464
75	-2.38542e-15	1.27114892240558	1.727835573	0.7000000000	0.3289975503
75	5	1.23073158033524	1.684573113	0.8036367185	0.3174054090
75	10	1.19457437903489	1.637489759	0.9005701348	0.3047894623
75	15	1.16247894419476	1.587049320	0.9912739874	0.2912739874
75	20	1.13435529640402	1.533682041	1.076229494	0.2769742680
75	25	1.11006026743488	1.477641749	1.155881835	0.2619583172
75	30	1.08949210389294	1.419106459	1.230646361	0.2462738334
75	35	1.07257679475317	1.358174759	1.300900435	0.2299472337
75	40	1.05925960197756	1.294867966	1.366973417	0.2129842296
75	45	1.04951525854286	1.229147148	1.429147148	0.1953743894

80	-45	1.83465019437812	1.787326053	-0.5873260527	0.2269903161
80	-40	1.75596891029771	1.833044451	-0.4185571072	0.2350517032
80	-35	1.68022376106546	1.862222388	-0.2538383849	0.2401965608
80	-30	1.60803890694371	1.876644462	-0.09480605049	0.2427395614
80	-25	1.53983269557313	1.878076554	0.05739234948	0.2429920779
80	-20	1.47591409922295	1.868250631	0.2019974974	0.2412595025
80	-15	1.41657026403511	1.848877221	0.3385694381	0.2378434477
80	-10	1.36182267599434	1.821359554	0.4670086594	0.2329913406
80	-5	1.31168587227838	1.786990288	0.5874029398	0.2269311116
80	-2.38542e-15	1.26619223656003	1.746955931	0.7000000000	0.2198719745
80	5	1.22518717262240	1.702120130	0.8051718836	0.2119662130
80	10	1.18864014160282	1.653322701	0.9033619097	0.2033619097
80	15	1.15635620255058	1.601097898	0.9950382926	0.1941532679
80	20	1.12823816131961	1.545936601	1.080689790	0.1844268428
80	25	1.10411876526920	1.488133443	1.160774192	0.1742345865
80	30	1.08388011843345	1.427911356	1.235729871	0.1636158077
80	35	1.06742098160732	1.365399474	1.305959235	0.1525932763
80	40	1.05465499106332	1.300641729	1.371818179	0.1411747386
80	45	1.04552936258357	1.233620606	1.433620606	0.1293571064

85	-45	1.83681474329643	1.796345886	-0.5963458855	0.1134155690
85	-40	1.75779154803572	1.843532451	-0.4273575838	0.1175438585
85	-35	1.68156642161425	1.873934765	-0.2620394792	0.1202037163
85	-30	1.60878867538714	1.889269878	-0.1020953382	0.1215453649
85	-25	1.53991239790377	1.891267884	0.05124113128	0.1217201678
85	-20	1.47529557466085	1.881662976	0.1971158029	0.1208798472
85	-15	1.41526937076325	1.862189832	0.3350023347	0.1191761678
85	-10	1.35988434589675	1.834281311	0.4647302050	0.1167344887
85	-5	1.30919032546615	1.799283040	0.5863274633	0.1136725367
85	-2.38542e-15	1.26323895699882	1.758431951	0.7000000000	0.1100985296
85	5	1.22188677785780	1.712640161	0.8060922670	0.1060922670
85	10	1.18511135014193	1.662798830	0.9050328068	0.1017317156
85	15	1.15271597441940	1.609483475	0.9972852010	0.09706722640
85	20	1.12460361672643	1.553228388	1.083343783	0.09214554406
85	25	1.10059229057486	1.494354425	1.163675083	0.08699473971
85	30	1.08055466587902	1.433113262	1.238733193	0.08163683223
85	35	1.06437243900169	1.369652413	1.308937175	0.07608472736
85	40	1.05193895406120	1.304028283	1.374659836	0.07034335995
85	45	1.04318414206499	1.236235091	1.436235091	0.06441222419

90	-45	1.83750454166388	1.799311922	-0.5993119219	0.000000000
90	-40	1.75836738389463	1.846987563	-0.4302567676	0.000000000
90	-35	1.68198277962408	1.877799632	-0.2647456887	0.000000000
90	-30	1.60900817907905	1.893441958	-0.1045040895	0.000000000
90	-25	1.53990935658518	1.895631841	0.04920618448	0.000000000
90	-20	1.47506102108816	1.886103957	0.1954994182	0.000000000
90	-15	1.41480735995727	1.866598968	0.3338209101	0.000000000
90	-10	1.35921036165850	1.838560902	0.4639755976	0.000000000
90	-5	1.30833156208278	1.803352965	0.5859713909	0.000000000
90	-2.38542e-15	1.26222969241045	1.762229692	0.7000000000	0.000000000
90	5	1.22076431897693	1.716118942	0.8063966209	0.000000000
90	10	1.18391539480491	1.665929060	0.9055847508	0.000000000
90	15	1.15148593407204	1.612250002	0.9980264899	0.000000000
90	20	1.12337906356834	1.555631016	1.084218268	0.000000000
90	25	1.09940731771966	1.496401413	1.164629610	0.000000000
90	30	1.07944001377851	1.434822474	1.239720007	0.000000000
90	35	1.06335305270260	1.371047827	1.309914255	0.000000000
90	40	1.05103286901416	1.305137889	1.375590906	0.000000000
90	45	1.04240346086075	1.237090556	1.437090556	0.000000000


### +y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	1.12082887904494	1.147110855	1.347110855	0.6471108550
40	45	1.12671434223806	1.074932590	1.385177979	0.6851779792
35	45	1.13488372292150	1.003562215	1.419161373	0.7191613729
30	45	1.14503187488601	0.9327813692	1.449599320	0.7495993200
25	45	1.15697199305258	0.8623007040	1.476956367	0.7769563670
20	45	1.17057782557379	0.7917589955	1.501601252	0.8016012520
15	45	1.18578339392993	0.7207416278	1.523818970	0.8238189701
10	45	1.20259915863376	0.6487904146	1.543832373	0.8438323734
5	45	1.22108131888526	0.5753966251	1.561787368	0.8617873683
0	45	1.24133590643579	0.5000000000	1.577757037	0.8777570372
-5	45	1.26353294365139	0.4219821660	1.591747923	0.8917479233
-10	45	1.28789514523088	0.3406564221	1.603682336	0.9036823361
-15	45	1.31469574374878	0.2552604633	1.613380386	0.9133803857
-20	45	1.34429147945204	0.1649439934	1.620558812	0.9205588124
-25	45	1.37709642702116	0.06876829518	1.624779375	0.9247793753
-30	45	1.41360628120240	-0.03429295312	1.625422541	0.9254225409
-35	45	1.45439146300061	-0.1453318266	1.621629362	0.9216293618
-40	45	1.50009229237143	-0.2654575024	1.612236728	0.9122367285
-45	45	1.55137461473619	-0.3956865514	1.595686551	0.8956865514

45	50	1.10144770045430	1.169812819	1.369812819	0.5620396892
40	50	1.10519079344638	1.097594569	1.412185475	0.5975945695
35	50	1.11161589188172	1.025443145	1.450410580	0.6296692412
30	50	1.12043454217040	0.9531953206	1.484957321	0.6586573986
25	50	1.13145807180066	0.8806162383	1.516234157	0.6849017801
20	50	1.14456401181430	0.8073994568	1.544573066	0.7086809485
15	50	1.15967328320069	0.7331743043	1.570218351	0.7301998971
10	50	1.17678914139337	0.6575234564	1.593359914	0.7496179745
5	50	1.19595994506858	0.5799740713	1.614107818	0.7670275326
0	50	1.21728475795379	0.5000000000	1.632494225	0.7824555599
-5	50	1.24093210008475	0.4170186321	1.648481376	0.7958703724
-10	50	1.26712005417736	0.3303849657	1.661934660	0.8071590186
-15	50	1.29611295200231	0.2393919130	1.672602622	0.8161105010
-20	50	1.32825190409607	0.1432668600	1.680116247	0.8224151812
-25	50	1.36391398094010	0.04118687942	1.683927912	0.8256135483
-30	50	1.40356223588594	-0.06771530471	1.683311752	0.8250965284
-35	50	1.44767181275298	-0.1842914319	1.677269444	0.8200264304
-40	50	1.49680417246580	-0.3093462689	1.664541324	0.8093462689
-45	50	1.55144709484329	-0.4434666316	1.643466632	0.7916625026

45	55	1.08572717859288	1.188011496	1.388011496	0.4817508361
40	55	1.08748901535292	1.116002693	1.434123423	0.5140387544
35	55	1.09222658395695	1.043429486	1.476097737	0.5434294861
30	55	1.09969581245749	0.9701585115	1.514338429	0.5702059070
25	55	1.10972384111686	0.8959838050	1.549190010	0.5946092466
20	55	1.12221026176830	0.8206360114	1.580940201	0.6168409696
15	55	1.13707915403500	0.7437757438	1.609783462	0.6370372379
10	55	1.15433083540421	0.6650174834	1.635860654	0.6552966844
5	55	1.17402153100523	0.5839227932	1.659241916	0.6716684204
0	55	1.19624616249981	0.5000000000	1.679907489	0.6861386109
-5	55	1.22116851247515	0.4127069906	1.697763663	0.6986416383
-10	55	1.24899506799240	0.3214497815	1.712608608	0.7090361808
-15	55	1.27997356992537	0.2255894562	1.724114092	0.7170924070
-20	55	1.31442028760020	0.1244460662	1.731825953	0.7224923103
-25	55	1.35266526635981	0.01732717704	1.735095209	0.7247814682
-30	55	1.39512461482490	-0.09646468121	1.733107133	0.7233894022
-35	55	1.44217422728473	-0.2175434207	1.724758206	0.7175434207
-40	55	1.49425639789519	-0.3464140348	1.708716967	0.7063112241
-45	55	1.55172629755541	-0.4833092078	1.683309208	0.6885205197

45	60	1.07308207651630	1.202497120	1.402497120	0.4055869015
40	60	1.07307383068494	1.130815984	1.451777215	0.4340387773
35	60	1.07626160839544	1.058054982	1.496985110	0.4601395677
30	60	1.08245174400790	0.9840871364	1.538463516	0.4840871364
25	60	1.09149545748488	0.9087143836	1.576490824	0.5060422132
20	60	1.10331419277424	0.8316855708	1.611298616	0.5261385013
15	60	1.11785212990083	0.7526844648	1.643031261	0.5444593524
10	60	1.13512518036942	0.6713514438	1.671782328	0.5610587888
5	60	1.15519787393681	0.5872761907	1.697571424	0.5759481302
0	60	1.17816353223981	0.5000000000	1.720319549	0.5890817661
-5	60	1.20418249074384	0.4090229795	1.739872103	0.6003704383
-10	60	1.23344864178482	0.3138062574	1.755957187	0.6096571664
-15	60	1.26618626632429	0.2137854010	1.768167425	0.6167067505
-20	60	1.30267935583591	0.1083799624	1.775967210	0.6212099585
-25	60	1.34320767394196	-0.002968924629	1.778620340	0.6227417435
-30	60	1.38812520836646	-0.1207884654	1.775237163	0.6207884654
-35	60	1.43771740735734	-0.2454742929	1.764647626	0.6146745932
-40	60	1.49228402007545	-0.3772524174	1.745468720	0.6036016469
-45	60	1.55209580674721	-0.5160852172	1.716085217	0.5866370737

45	65	1.06306543510174	1.213894082	1.413894082	0.3328942773
40	65	1.06153432305027	1.142575068	1.465791146	0.3570942759
35	65	1.06335161289583	1.069762204	1.513704756	0.3794367591
30	65	1.06837741457693	0.9953241608	1.557926613	0.4000577496
25	65	1.07649733560857	0.9190606274	1.598678416	0.4190606274
20	65	1.08765821788875	0.8407255915	1.636135869	0.4365273247
15	65	1.10183821910047	0.7600180316	1.670400505	0.4525051870
10	65	1.11906710690820	0.6765934977	1.701511493	0.4670124790
5	65	1.13942156780658	0.5900639443	1.729435594	0.4800337008
0	65	1.16299426407845	0.5000000000	1.754030758	0.4915026143
-5	65	1.18994022774493	0.4059428807	1.775077793	0.5013170081
-10	65	1.22043477420814	0.3074102579	1.792230703	0.5093155413
-15	65	1.25468236848377	0.2039129392	1.805011954	0.5152755367
-20	65	1.29293518927523	0.09496825391	1.812815577	0.5189144255
-25	65	1.33542830574929	-0.01985769510	1.814838425	0.5198576951
-30	65	1.38243515245593	-0.1409284981	1.810120723	0.5176577945
-35	65	1.43417069059418	-0.2684534856	1.797465314	0.5117564804
-40	65	1.49079595243713	-0.4024185933	1.775460601	0.5014955141
-45	65	1.55249314133183	-0.5425657995	1.742565800	0.4861564164

45	70	1.05529933062537	1.222659567	1.422659567	0.2630265719
40	70	1.05252023773828	1.151690104	1.476654023	0.2826789468
35	70	1.05319531282649	1.078905790	1.526763150	0.3009171773
30	70	1.05722952993342	1.004162064	1.573234310	0.3178312963
25	70	1.06453267881218	0.9272459811	1.616231963	0.3334811623
20	70	1.07509324947164	0.8479169224	1.655893888	0.3479169224
15	70	1.08892150443929	0.7658807497	1.692280466	0.3611605538
10	70	1.10606403241904	0.6808021608	1.725380007	0.3732078015
5	70	1.12661100357037	0.5923100213	1.755108372	0.3840280414
0	70	1.15065454007795	0.5000000000	1.781261580	0.3935470307
-5	70	1.17834358047839	0.4034512172	1.803557637	0.4016621317
-10	70	1.20983940002650	0.3022342547	1.821585276	0.4082236556
-15	70	1.24533585447415	0.1959277329	1.834813150	0.4130382081
-20	70	1.28505122250343	0.08413740700	1.842573084	0.4158625930
-25	70	1.32917302631522	-0.03345833805	1.844005098	0.4163838034
-30	70	1.37789603902938	-0.1570786106	1.838093538	0.4142321717
-35	70	1.43137888829840	-0.2867804915	1.823638991	0.4089711467
-40	70	1.48967364479779	-0.4223628566	1.799229248	0.4000867269
-45	70	1.55284876287854	-0.5633769795	1.763376980	0.3870375683

45	75	1.04951523724492	1.229147133	1.429147133	0.1953743854
40	75	1.04575980162491	1.158473133	1.484737721	0.2102698387
35	75	1.04552952516452	1.085747473	1.536534086	0.2241486327
30	75	1.04876499407526	1.010809877	1.584748661	0.2370676891
25	75	1.05540204723767	0.9334346843	1.629503680	0.2490597605
20	75	1.06546442711392	0.8533805890	1.670905189	0.2601532612
15	75	1.07899073269691	0.7703549468	1.708978398	0.2703549468
10	75	1.09604344252041	0.6840267001	1.743667279	0.2796498045
5	75	1.11672416322602	0.5940364492	1.774841533	0.2880029207
0	75	1.14112150803243	0.5000000000	1.802238736	0.2953439791
-5	75	1.16937718295896	0.4015297764	1.825519806	0.3015821231
-10	75	1.20165657759925	0.2982407576	1.844233524	0.3065964486
-15	75	1.23813757811456	0.1897687729	1.857798702	0.3102312271
-20	75	1.27900419294088	0.07579507724	1.865493447	0.3122930278
-25	75	1.32440471462140	-0.04390925328	1.866417158	0.3125405355
-30	75	1.37446744233641	-0.1694460148	1.859514511	0.3106909767
-35	75	1.42930469128099	-0.3007536761	1.843594766	0.3064252941
-40	75	1.48887841122607	-0.4374872030	1.817253742	0.2993672380
-45	75	1.55315391135754	-0.5790483846	1.779048385	0.2891301432

45	80	1.04552936356617	1.233620607	1.433620607	0.1293571066
40	80	1.04107708046016	1.163169012	1.490334053	0.1393572173
35	80	1.04018990157491	1.090500550	1.543322184	0.1487004545
30	80	1.04283759151705	1.015443764	1.592774788	0.1574202829
25	80	1.04897786075214	0.9377626222	1.638784973	0.1655331198
20	80	1.05866226992299	0.8572135127	1.681436060	0.1730536572
15	80	1.07195165722227	0.7735029103	1.720726757	0.1799816672
10	80	1.08892112302129	0.6863011953	1.756566582	0.1863011953
5	80	1.10968000372235	0.5952565769	1.788787657	0.1919826401
0	80	1.13431042051986	0.5000000000	1.817077696	0.1969709374
-5	80	1.16296713596600	0.4001691766	1.841071533	0.2012016981
-10	80	1.19581015805549	0.2954113874	1.860279679	0.2045886126
-15	80	1.23300222606811	0.1854058717	1.874081271	0.2070222056
-20	80	1.27469917686002	0.06989137754	1.881713728	0.2083680137
-25	80	1.32101896959583	-0.05129164278	1.882248743	0.2084623513
-30	80	1.37203981804954	-0.1781586840	1.874605296	0.2071146054
-35	80	1.42783895518810	-0.3105632324	1.857604265	0.2041168649
-40	80	1.48831284694913	-0.4480594463	1.829853251	0.1992236124
-45	80	1.55335914340148	-0.5899514800	1.789951480	0.1921878536

45	85	1.04318414390198	1.236235093	1.436235093	0.06441222430
40	85	1.03831527108971	1.165922303	1.493615297	0.06943234165
35	85	1.03703309916810	1.093296090	1.547314628	0.07413042439
30	85	1.03932529820616	1.018177427	1.597509631	0.07852191813
25	85	1.04516353517427	0.9403231727	1.644276091	0.08261345321
20	85	1.05461727024803	0.8594875280	1.687683866	0.08641114140
15	85	1.06776145803588	0.7753754496	1.727715169	0.08991342663
10	85	1.08467911272395	0.6876573057	1.764257466	0.09311046338
5	85	1.10548378189983	0.5959853914	1.797118043	0.09598539135
0	85	1.13025224854146	0.5000000000	1.825951298	0.09850797421
-5	85	1.15915081444435	0.3993548830	1.850378951	0.1006451170
-10	85	1.19233329474667	0.2937177447	1.869884804	0.1023516580
-15	85	1.22995442914065	0.1827950182	1.883825109	0.1035712766
-20	85	1.27215249842218	0.06636121010	1.891412783	0.1042351121
-25	85	1.31902634392246	-0.05570046703	1.891703497	0.1042605463
-30	85	1.37062322912354	-0.1833529595	1.883602045	0.1035517611
-35	85	1.42699822898495	-0.3163986955	1.865938170	0.1020063722
-40	85	1.48800650028340	-0.4543312543	1.837327701	0.09950328054
-45	85	1.55350038227121	-0.5963946343	1.796394634	0.09592210125

45	90	1.04240346216827	1.237090557	1.437090557	0.000000000
40	90	1.03739445916130	1.166824305	1.494690261	0.000000000
35	90	1.03597884702590	1.094213055	1.548624190	0.000000000
30	90	1.03815036468132	1.019075182	1.599064589	0.000000000
25	90	1.04388543030583	0.9411650460	1.646081494	0.000000000
20	90	1.05325970404884	0.8602360349	1.689740372	0.000000000
15	90	1.06635301433645	0.7759924689	1.730017916	0.000000000
10	90	1.08325110022750	0.6881045795	1.766794082	0.000000000
5	90	1.10406894661173	0.5962259491	1.799867631	0.000000000
0	90	1.12888135918230	0.5000000000	1.828881359	0.000000000
-5	90	1.15785926111380	0.3990859161	1.853453257	0.000000000
-10	90	1.19115428899887	0.2931582284	1.873057979	0.000000000
-15	90	1.22891822283640	0.1819325591	1.887043850	0.000000000
-20	90	1.27128335329727	0.06519548530	1.894615586	0.000000000
-25	90	1.31834205485249	-0.05715542760	1.894823670	0.000000000
-30	90	1.37013113160762	-0.1850655658	1.886568366	0.000000000
-35	90	1.42669815283586	-0.3183204423	1.868682708	0.000000000
-40	90	1.48788433857468	-0.4563936175	1.839785530	0.000000000
-45	90	1.55352700727310	-0.5985094816	1.798509482	0.000000000


### -x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = 180 - dsigma = 180 - dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-90	45	1.55352698648252	-0.5985094669	1.798509467	1.345286102e-16
-90	40	1.62343890886723	-0.7436263549	1.743526416	1.523003035e-16
-90	35	1.69707029594527	-0.8901586022	1.673399533	1.702453283e-16
-90	30	1.77390080130653	-1.036243158	1.586950401	1.881355266e-16
-90	25	1.85335028119024	-1.179705792	1.483259674	2.057046322e-16
-90	20	1.93464507928227	-1.317971705	1.361687587	2.226373229e-16
-90	15	2.01689253928749	-1.448168593	1.222010201	2.385818431e-16
-90	10	2.09913953983919	-1.567248893	1.064511756	2.531649740e-16
-90	5	2.18048226236665	-1.672184869	0.8900415511	2.660159247e-16
-90	0	2.25999972581738	-1.759999726	0.7000000000	2.767701430e-16
-90	-5	2.33668950433594	-1.827797695	0.4963440907	2.850729997e-16
-90	-10	2.40940845226039	-1.872804124	0.2816106130	2.905846975e-16
-90	-15	2.47724824322304	-1.892838056	0.05884097521	2.930381466e-16
-90	-20	2.53930098636296	-1.886162399	-0.1684920873	2.922206144e-16
-90	-25	2.59477003593234	-1.851660289	-0.3965972022	2.879953246e-16
-90	-30	2.64304079145652	-1.788940469	-0.6215203957	2.803143618e-16
-90	-35	2.68338964524559	-1.698104114	-0.8391290701	2.691901167e-16
-90	-40	2.71519221938220	-1.579957912	-1.045291917	2.547213799e-16
-90	-45	2.73793321506108	-1.436011143	-1.236011143	2.370929849e-16

-85	45	1.55350034642688	-0.5963946090	1.796394609	0.09592209904
-85	40	1.62322795556862	-0.7406814878	1.741055379	0.1085455652
-85	35	1.69660413318690	-0.8862214245	1.670642691	0.1212786598
-85	30	1.77311086984214	-1.031170352	1.584021615	0.1339600477
-85	25	1.85217808225745	-1.173391216	1.480315139	0.1464027611
-85	20	1.93302468739793	-1.310341391	1.358910380	0.1583843488
-85	15	2.01478992661988	-1.439225428	1.219613887	0.1696602409
-85	10	2.09652948050923	-1.557057361	1.062714714	0.1799691993
-85	5	2.17737724381976	-1.660899961	0.8890542496	0.1890542496
-85	0	2.25641922759325	-1.747832871	0.7000000000	0.1966598937
-85	-5	2.33272225316861	-1.815069399	0.4974576723	0.2025423277
-85	-10	2.40515718671066	-1.859874422	0.2838904684	0.2064622592
-85	-15	2.47281605031194	-1.880073326	0.06226127427	0.2082294344
-85	-20	2.53480626001591	-1.873929686	-0.1640397441	0.2076919356
-85	-25	2.59033135204584	-1.840292099	-0.3912961282	0.2047490280
-85	-30	2.63875733720554	-1.778699584	-0.6156078180	0.1993603811
-85	-35	2.67940544520404	-1.689225619	-0.8329122810	0.1915324235
-85	-40	2.71161305296213	-1.572566644	-1.039089907	0.1813260858
-85	-45	2.73483551626519	-1.430130832	-1.230130832	0.1688645669

-80	45	1.55335899432662	-0.5899513754	1.789951375	0.1921878351
-80	40	1.62251556833440	-0.7317332969	1.733546955	0.2171878133
-80	35	1.69511108092554	-0.8742921142	1.662289698	0.2423247791
-80	30	1.77063642814631	-1.015844437	1.575173194	0.2672842729
-80	25	1.84855353507922	-1.154366927	1.471443968	0.2917095253
-80	20	1.92807037757420	-1.287423476	1.350568941	0.3151709848
-80	15	2.00841841160478	-1.412442971	1.212437550	0.3372152949
-80	10	2.08868027488930	-1.526620415	1.057347859	0.3573478588
-80	5	2.16808518238322	-1.627265858	0.8861116469	0.3750943659
-80	0	2.24575259643745	-1.711634568	0.7000000000	0.3899708459
-80	-5	2.32086853709022	-1.777172705	0.5007732034	0.4015269876
-80	-10	2.39244987475728	-1.821364268	0.2906808475	0.4093191525
-80	-15	2.45955508683300	-1.842021369	0.07245726545	0.4129615568
-80	-20	2.52134343902806	-1.837419063	-0.1507509638	0.4121500460
-80	-25	2.57702834486899	-1.806317011	-0.3754532845	0.4066659152
-80	-30	2.62592362334991	-1.748057057	-0.5979163470	0.3963931133
-80	-35	2.66741706417003	-1.662578180	-0.8142535437	0.3813208811
-80	-40	2.70077376392893	-1.550293407	-1.020400442	0.3615220460
-80	-45	2.72539743303285	-1.412340091	-1.212340091	0.3371971543

-75	45	1.55315370215578	-0.5790482393	1.779048239	0.2891301043
-75	40	1.62135315993694	-0.7166627387	1.720901255	0.3260037983
-75	35	1.69263192749661	-0.8542843773	1.648280130	0.3628794052
-75	30	1.76651267104164	-0.9902477950	1.560394966	0.3993106932
-75	25	1.84249514919553	-1.122704851	1.456679699	0.4348024544
-75	20	1.91981609969980	-1.249433735	1.336741806	0.4687593566
-75	15	1.99784152389635	-1.368207834	1.200584780	0.5005847803
-75	10	2.07571094526085	-1.476519825	1.048513773	0.5296068910
-75	5	2.15276346508502	-1.572024282	0.8812786352	0.5551972331
-75	0	2.22825179773404	-1.652325959	0.7000000000	0.5767140025
-75	-5	2.30142636345989	-1.715111593	0.5062028472	0.5935373625
-75	-10	2.37150743168426	-1.758181210	0.3018217253	0.6050778316
-75	-15	2.43765696568345	-1.779485027	0.08921382797	0.6107861720
-75	-20	2.49905151228470	-1.777262402	-0.1288557298	0.6101906215
-75	-25	2.55493659541205	-1.750159524	-0.3492666180	0.6029284272
-75	-30	2.60462083149703	-1.697284239	-0.5686026471	0.5887605375
-75	-35	2.64740875093832	-1.618206713	-0.7831843080	0.5675717782
-75	-40	2.68255004671836	-1.512984442	-0.9890945031	0.5393775557
-75	-45	2.70939880924788	-1.382345585	-1.182345585	0.5043729795

-70	45	1.55284856939782	-0.5633768470	1.763376847	0.3870375201
-70	40	1.61970090132059	-0.6951762790	1.702871975	0.4350085903
-70	35	1.68918333084477	-0.8260166602	1.628486861	0.4826305944
-70	30	1.76085220916534	-0.9544018302	1.539699288	0.5293589749
-70	25	1.83414072071875	-1.078625426	1.436125125	0.5745726660
-70	20	1.90844556961885	-1.196849512	1.317602714	0.6176027144
-70	15	1.98327440537692	-1.307260160	1.184253900	0.6577889037
-70	10	2.05791028875875	-1.407791959	1.036395196	0.6943794862
-70	5	2.13177160386516	-1.496474435	0.8746688801	0.7266572677
-70	0	2.20430902783940	-1.571372927	0.7000000000	0.7539180896
-70	-5	2.27489060091195	-1.630510097	0.5136045190	0.7754422591
-70	-10	2.34285715175767	-1.671952810	0.3170261187	0.7905261731
-70	-15	2.40754622689926	-1.693878148	0.1121521220	0.7985063433
-70	-20	2.46825083356849	-1.694587202	-0.09876441798	0.7987644180
-70	-25	2.52425972103075	-1.672603515	-0.3131016571	0.7907630103
-70	-30	2.57485840200401	-1.626742240	-0.5278752050	0.7740708715
-70	-35	2.61928382697305	-1.556149814	-0.7397315998	0.7483773296
-70	-40	2.65678051944094	-1.460436679	-0.9450016940	0.7135405972
-70	-45	2.68656132549322	-1.339733228	-1.139733228	0.6696081341

-65	45	1.55249280671373	-0.5425655748	1.742565575	0.4861563117
-65	40	1.61760268111850	-0.6669390088	1.679178092	0.5441525964
-65	35	1.68478268512855	-0.7892402350	1.602735731	0.6011825948
-65	30	1.75362741736425	-0.9081949033	1.513021707	0.6566520676
-65	25	1.82359799069965	-1.022370840	1.409893181	0.7098931812
-65	20	1.89423011767346	-1.130343731	1.293396590	0.7602417672
-65	15	1.96508678999067	-1.230672598	1.163732325	0.8070258863
-65	10	2.03572680328436	-1.321878043	1.021246254	0.8495556835
-65	5	2.10566167462581	-1.402406569	0.8664390082	0.8871067522
-65	0	2.17450774834363	-1.470773305	0.7000000000	0.9189866847
-65	-5	2.24182490421409	-1.525426248	0.5227981645	0.9444717704
-65	-10	2.30711700520396	-1.564759282	0.3359272298	0.9628130656
-65	-15	2.36985375400710	-1.587155119	0.1407484713	0.9732564159
-65	-20	2.42945464395997	-1.591005793	-0.06106386820	0.9750520144
-65	-25	2.48529648872443	-1.574768081	-0.2674802449	0.9674802449
-65	-30	2.53671288591452	-1.537026863	-0.4760780078	0.9498812262
-65	-35	2.58296145165966	-1.476550364	-0.6839954643	0.9216805713
-65	-40	2.62321577206126	-1.392388563	-0.8879025451	0.8824352790
-65	-45	2.65655260703904	-1.283989133	-1.083989133	0.8318877946

-60	45	1.55209536116934	-0.5160849255	1.716084925	0.5866369052
-60	40	1.61506887294337	-0.6314896927	1.649432584	0.6532658787
-60	35	1.67950382366610	-0.7436934746	1.570843546	0.7180467624
-60	30	1.74494507692099	-0.8516286446	1.480363162	0.7803631618
-60	25	1.81102399058615	-0.9542854019	1.378144420	0.8396320682
-60	20	1.87736676899508	-1.050638748	1.264386348	0.8952616985
-60	15	1.94368803440546	-1.139714707	1.139360232	0.9466897277
-60	10	2.00969857879698	-1.220505895	1.003371610	0.9933345413
-60	5	2.07508917707700	-1.291943798	0.8567747680	1.034579234
-60	0	2.13964199058730	-1.352984319	0.7000000000	1.069820995
-60	-5	2.20308393607651	-1.402473705	0.5335551182	1.098393706
-60	-10	2.26508151675693	-1.439139601	0.3580773689	1.119562771
-60	-15	2.32528221904938	-1.461631386	0.1743824542	1.132548409
-60	-20	2.38327353760473	-1.468499898	-0.01647536920	1.136513946
-60	-25	2.43856071347478	-1.458208873	-0.2131277936	1.130572420
-60	-30	2.49055458749213	-1.429175288	-0.4138098719	1.113809872
-60	-35	2.53853566241826	-1.379817238	-0.6162622003	1.085312988
-60	-40	2.58166159537710	-1.308668060	-0.8176527021	1.044234991
-60	-45	2.61898236394537	-1.214526418	-1.014526418	0.9898822890

-55	45	1.55172530517203	-0.4833085790	1.683308579	0.6885200794
-55	40	1.61216281277022	-0.5883112060	1.613201532	0.7620437104
-55	35	1.67335498057787	-0.6890271060	1.532565743	0.8325657428
-55	30	1.73492721313768	-0.7847351840	1.441742204	0.8995812605
-55	25	1.79661843639468	-0.8748199074	1.341089051	0.9626592628
-55	20	1.85819607137535	-0.9586924365	1.230920628	1.021387440
-55	15	1.91947726816273	-1.035784617	1.111512248	1.075367966
-55	10	1.98038574526303	-1.105575318	0.9831062481	1.124235941
-55	5	2.04076117192415	-1.167417168	0.8458800996	1.167538070
-55	0	2.10053423122821	-1.220656910	0.7000000000	1.204816939
-55	-5	2.15958125355575	-1.264499887	0.5456262631	1.235516122
-55	-10	2.21775245689682	-1.298017692	0.3829609692	1.258985541
-55	-15	2.27487476690615	-1.320140166	0.2122949125	1.274475865
-55	-20	2.33070760681197	-1.329616158	0.03407417821	1.281111026
-55	-25	2.38489098952532	-1.324981612	-0.1510029015	1.277865882
-55	-30	2.43695546540391	-1.304595838	-0.3418838929	1.263591609
-55	-35	2.48629409860208	-1.266673008	-0.5370377577	1.237037758
-55	-40	2.53212395620489	-1.209342788	-0.7343089027	1.196894705
-55	-45	2.57341935196813	-1.130743095	-0.9307430946	1.141858608

-50	45	1.55144765896991	-0.4434669747	1.643466975	0.7916627905
-50	40	1.60894466065859	-0.5368047077	1.569982448	0.8699824478
-50	35	1.66644944593835	-0.6249580947	1.487704138	0.9439519224
-50	30	1.72374613312794	-0.7076271268	1.397223847	1.013319477
-50	25	1.78061357206026	-0.7845351093	1.298988559	1.077852936
-50	20	1.83705172281001	-0.8555593139	1.193383241	1.137449320
-50	15	1.89297790010532	-0.9204898310	1.080619103	1.191932493
-50	10	1.94841323421908	-0.9791386311	0.9608120489	1.241144680
-50	5	2.00340500730587	-1.031262135	0.8339680777	1.284881493
-50	0	2.05800941125511	-1.076526673	0.7000000000	1.322862950
-50	-5	2.11224819071925	-1.114454223	0.5587535577	1.354687943
-50	-10	2.16612330152759	-1.144413310	0.4100455661	1.379826602
-50	-15	2.21963109334976	-1.165610252	0.2537010781	1.397612948
-50	-20	2.27265820081420	-1.176993061	0.08962444282	1.407164259
-50	-25	2.32502009918267	-1.177270124	-0.08212390373	1.407396743
-50	-30	2.37642231905412	-1.164880925	-0.2612194504	1.397000970
-50	-35	2.42640877030085	-1.137978394	-0.4469248190	1.374427066
-50	-40	2.47435995352220	-1.094478736	-0.6379265191	1.337926519
-50	-45	2.51939150052969	-1.032093373	-0.8320933731	1.285578984

-45	45	1.55137356134177	-0.3956859433	1.595685943	0.8956859433
-45	40	1.60550192442828	-0.4763384764	1.519245255	0.9763384764
-45	35	1.65892705241537	-0.5512409620	1.436086846	1.051240962
-45	30	1.71153065023827	-0.6204598227	1.346897780	1.120459823
-45	25	1.76332407408454	-0.6841478227	1.252177198	1.184147823
-45	20	1.81432046346018	-0.7424304674	1.152207708	1.242430467
-45	15	1.86462436914794	-0.7954414232	1.047112483	1.295441423
-45	10	1.91441649600107	-0.8432959802	0.9368593244	1.343295980
-45	5	1.96382114573076	-0.8859816138	0.8212576791	1.385981614
-45	0	2.01297134060236	-0.9233856853	0.7000000000	1.423385685
-45	-5	2.06202213818529	-0.9552877063	0.5726788235	1.455287706
-45	-10	2.11112887878109	-0.9813239138	0.4388026268	1.481323914
-45	-15	2.16042488521169	-1.000947823	0.2978222429	1.500947823
-45	-20	2.20994779164328	-1.013352532	0.1491847243	1.513352532
-45	-25	2.25967643092052	-1.017469741	-0.007607761176	1.517469741
-45	-30	2.30954981892992	-1.011955267	-0.1729277802	1.511955267
-45	-35	2.35932339055781	-0.9950732084	-0.3468615307	1.495073208
-45	-40	2.40856396194240	-0.9646968858	-0.5290266166	1.464696886
-45	-45	2.45658707324543	-0.9183112080	-0.7183112080	1.418311208


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.73793328945163	-1.436011195	-1.236011195	2.370929914e-16
-40	-90	2.75125923122581	-1.268475345	-1.407586846	2.581049484e-16
-35	-90	2.75505548979866	-1.080234910	-1.556809337	2.763794330e-16
-30	-90	2.74939122198736	-0.8746956110	-1.681042643	2.915936252e-16
-25	-90	2.73438950800301	-0.6556029408	-1.778198504	3.034917865e-16
-20	-90	2.71014406432023	-0.4269238613	-1.846702379	3.118810916e-16
-15	-90	2.67694462071658	-0.1928442505	-1.885729945	3.166605900e-16
-10	-90	2.63532839488232	0.04238002667	-1.895291835	3.178315839e-16
-5	-90	2.58579478505268	0.2746331349	-1.875955055	3.154635113e-16
-1.42109e-14	-90	2.52895489601160	0.5000000000	-1.828954896	3.097076519e-16
5	-90	2.46557077114617	0.7148886519	-1.756188530	3.007963421e-16
10	-90	2.39650958317706	0.9161495219	-1.660101218	2.890290402e-16
15	-90	2.32276314489048	1.101175339	-1.543616910	2.747638267e-16
20	-90	2.24533202325166	1.267948780	-1.409921933	2.583909142e-16
25	-90	2.16516594630754	1.415038669	-1.262306757	2.403132689e-16
30	-90	2.08329518359367	1.541647592	-1.104186553	2.209491287e-16
35	-90	2.00076781912234	1.647593276	-0.9389330492	2.007114113e-16
40	-90	1.91852484489715	1.733203999	-0.7696752964	1.799833148e-16
45	-90	1.83750450422293	1.799311895	-0.5993118954	1.591198154e-16

-45	-85	2.73483564413545	-1.430130922	-1.230130922	0.1688645748
-40	-85	2.74757108919584	-1.262151552	-1.400050443	0.1837306066
-35	-85	2.75080445696008	-1.073760307	-1.547562645	0.1966362520
-30	-85	2.74466803442755	-0.8684118176	-1.670158794	0.2073620252
-25	-85	2.72927971478499	-0.6498345117	-1.765828068	0.2157320021
-20	-85	2.70479745007539	-0.4219846635	-1.833132044	0.2216203371
-15	-85	2.67147959014594	-0.1889740098	-1.871286010	0.2249583765
-10	-85	2.62986937348025	0.04501364016	-1.880355871	0.2257518866
-5	-85	2.58047372539173	0.2759462559	-1.860946014	0.2240537441
-1.42109e-14	-85	2.52389731631290	0.5000000000	-1.814293125	0.2199721452
5	-85	2.46088327436192	0.7136701126	-1.742260563	0.2136701126
10	-85	2.39229198119589	0.9138837583	-1.647251434	0.2053578909
15	-85	2.31908407058118	1.098091281	-1.532107050	0.1952840626
20	-85	2.24224049517328	1.264312813	-1.399932196	0.1837202613
25	-85	2.16266375914927	1.411121500	-1.253906362	0.1709446563
30	-85	2.08134073715489	1.537696080	-1.097342334	0.1572470787
35	-85	1.99930534242552	1.643820812	-0.9335454132	0.1429167050
40	-85	1.91748434355674	1.729776374	-0.7655904120	0.1282225464
45	-85	1.83681468865783	1.796345847	-0.5963458470	0.1134155656

-45	-80	2.72539785946111	-1.412340390	-1.212340390	0.3371972071
-40	-80	2.73639995538020	-1.243094425	-1.377339043	0.3662909214
-35	-80	2.73800833143995	-1.054327171	-1.519809251	0.3914122629
-30	-80	2.73047270265078	-0.8495918633	-1.637561677	0.4121751927
-25	-80	2.71394328968390	-0.6325910445	-1.728849333	0.4282716695
-20	-80	2.68871717779508	-0.4072261617	-1.792583394	0.4395097040
-15	-80	2.65505728350404	-0.1774241069	-1.828181185	0.4457865551
-10	-80	2.61348533149701	0.05286436202	-1.835832215	0.4471356380
-5	-80	2.56452250361383	0.2798575857	-1.816239310	0.4436808803
-1.42109e-14	-80	2.50874980081037	0.5000000000	-1.770636254	0.4356398311
5	-80	2.44687402508702	0.7100432945	-1.700805842	0.4233268454
10	-80	2.37970099297217	0.9071379735	-1.608994187	0.4071379735
15	-80	2.30808809321792	1.088896716	-1.497792465	0.3875301095
20	-80	2.23292997811714	1.253434578	-1.370044491	0.3650046951
25	-80	2.15507908729911	1.399364141	-1.228692624	0.3400805470
30	-80	2.07537079693080	1.525794376	-1.076727977	0.3132850796
35	-80	1.99480009971732	1.632418758	-0.9172615926	0.2851668536
40	-80	1.91425188531799	1.719383805	-0.7532050304	0.2562392554
45	-80	1.83465008416688	1.787325975	-0.5873259754	0.2269903024

-45	-75	2.70939957405363	-1.382346117	-1.182346117	0.5043731218
-40	-75	2.71756691313338	-1.211143224	-1.339261084	0.5464183607
-35	-75	2.71658470575144	-1.021939446	-1.473554786	0.5824022496
-30	-75	2.70680787838741	-0.8183737142	-1.583490256	0.6118593701
-25	-75	2.68851371815994	-0.6041243456	-1.667802300	0.6344507142
-20	-75	2.66206954098168	-0.3829236137	-1.725812692	0.6499945518
-15	-75	2.62789659669278	-0.1584531480	-1.757380603	0.6584531480
-10	-75	2.58645916128161	0.06573113261	-1.762861132	0.6599216515
-5	-75	2.53825942914747	0.2862597482	-1.743062258	0.6546165590
-1.42109e-14	-75	2.48385937418286	0.5000000000	-1.699223918	0.6428701114
5	-75	2.42387689736344	0.7041083951	-1.632969632	0.6251173288
10	-75	2.35898909579695	0.8960764346	-1.546261083	0.6018838431
15	-75	2.28996920743681	1.073781113	-1.441380265	0.5737811128
20	-75	2.21751835366479	1.235480155	-1.320715118	0.5414489840
25	-75	2.14242691147705	1.379856292	-1.186857908	0.5055820526
30	-75	2.06537278216349	1.505957315	-1.042369180	0.4668664147
35	-75	1.98723345333680	1.613327692	-0.8899967241	0.4260383382
40	-75	1.90882594846775	1.701911376	-0.7323821999	0.3838056537
45	-75	1.83102690370239	1.772099699	-0.5720996987	0.3408580869

-45	-70	2.68656024499842	-1.339732488	-1.139732488	0.6696078648
-40	-70	2.69084582390248	-1.166093946	-1.285573445	0.7226896321
-35	-70	2.68643575469621	-0.9766427399	-1.408864386	0.7675638645
-30	-70	2.67374650072319	-0.7750320678	-1.508420323	0.8037992622
-25	-70	2.65325369903316	-0.5648728801	-1.583627261	0.8311723491
-20	-70	2.62538466266213	-0.3496153728	-1.634299052	0.8496153728
-15	-70	2.59062822028960	-0.1325508042	-1.660711739	0.8592288048
-10	-70	2.54947712885942	0.08325109558	-1.663500485	0.8602438252
-5	-70	2.50241130425828	0.2949623782	-1.643590742	0.8529972713
-1.42109e-14	-70	2.44991556688392	0.5000000000	-1.602167580	0.8379204733
5	-70	2.39246628185518	0.6960291643	-1.540623601	0.8155202970
10	-70	2.33066195452017	0.8809803999	-1.460647216	0.7864112732
15	-70	2.26506905929184	1.053059387	-1.364045731	0.7512512083
20	-70	2.19627038481592	1.210747308	-1.252762180	0.7107473081
25	-70	2.12486010476141	1.352804201	-1.128844510	0.6656449647
30	-70	2.05143107873618	1.478267913	-0.9944097295	0.6167147062
35	-70	1.97665438021979	1.586499960	-0.8516827521	0.5647663348
40	-70	1.90120564931752	1.677171577	-0.7028984560	0.5106132797
45	-70	1.82587349652878	1.750341881	-0.5503418814	0.4550872275

-45	-65	2.65655156308343	-1.283988432	-1.083988432	0.8318874677
-40	-65	2.65609556029500	-1.107805559	-1.216108051	0.8934958580
-35	-65	2.64757810551197	-0.9186181861	-1.325996735	0.9447377929
-30	-65	2.63155376797461	-0.7200484060	-1.413185827	0.9853947342
-25	-65	2.60859142398577	-0.5154766971	-1.477696805	1.015476697
-20	-65	2.57924458028780	-0.3079878594	-1.519928399	1.035169613
-15	-65	2.54403358125391	-0.1003554721	-1.540557125	1.044788946
-10	-65	2.50342961577632	0.1049482739	-1.540449672	1.044738840
-5	-65	2.45786447950705	0.3057216260	-1.520611976	1.035488370
-1.42109e-14	-65	2.40774277475509	0.5000000000	-1.482156026	1.017556066
5	-65	2.35344924679582	0.6860250216	-1.426275727	0.9914986547
10	-65	2.29535851387237	0.8622172308	-1.354235996	0.9579059764
15	-65	2.23392553458315	1.027174417	-1.267441707	0.9174331350
20	-65	2.16958189461096	1.179654750	-1.167336079	0.8707531140
25	-65	2.10268029884332	1.318534794	-1.055353531	0.8185347944
30	-65	2.03366435176742	1.442853223	-0.9330696857	0.7615129007
35	-65	1.96303840003486	1.551829961	-0.8021688616	0.7004728440
40	-65	1.89130681494889	1.644858512	-0.6643892445	0.6362251534
45	-65	1.81913754359914	1.721628964	-0.5216289638	0.5696549412

-45	-60	2.61898727145676	-1.214529631	-1.014529631	0.9898841439
-40	-60	2.61320955427768	-1.036198450	-1.130770022	1.056995565
-35	-60	2.60014415870669	-0.8482069691	-1.225439096	1.111652780
-30	-60	2.58057560354329	-0.6540684941	-1.298905267	1.154068494
-25	-60	2.55516569748081	-0.4567909476	-1.351844809	1.184633153
-20	-60	2.52450664097021	-0.2589337938	-1.385153461	1.203863912
-15	-60	2.48910735361029	-0.06264933679	-1.399835912	1.212340829
-10	-60	2.44940544967938	0.1302529733	-1.396939590	1.210668637
-5	-60	2.40575193050712	0.3182433773	-1.377487704	1.199438085
-1.42109e-14	-60	2.35843173615949	0.5000000000	-1.342461797	1.179215868
5	-60	2.30773002134356	0.6743509834	-1.292840859	1.150567206
10	-60	2.25391578749459	0.8402371220	-1.229580604	1.114043881
15	-60	2.19723719929574	0.9966736574	-1.153611324	1.070182997
20	-60	2.13794182780183	1.142722137	-1.065864558	1.019522378
25	-60	2.07618150369611	1.277433601	-0.9672117366	0.9625651449
30	-60	2.01222987102965	1.399896556	-0.8586665558	0.8998965556
35	-60	1.94640610717870	1.509235688	-0.7413379359	0.8321568453
40	-60	1.87910561379907	1.604648927	-0.6164693278	0.7600639208
45	-60	1.81074648904466	1.685411836	-0.4854118358	0.6843978425

-45	-55	2.57341397873287	-1.130739690	-0.9307396896	1.141856224
-40	-55	2.56197547565039	-0.9512181460	-1.029494439	1.211005044
-35	-55	2.54432508248977	-0.7659106566	-1.107907781	1.265910657
-30	-55	2.52131741064605	-0.5779515820	-1.167066908	1.307334323
-25	-55	2.49369138929429	-0.3898262507	-1.208238553	1.336163019
-20	-55	2.46204598901183	-0.2034516014	-1.232717391	1.353303286
-15	-55	2.42685642384018	-0.02028807996	-1.241741549	1.359622070
-10	-55	2.38848234047055	0.1585542611	-1.236435011	1.355906392
-5	-55	2.34718705625426	0.3322156036	-1.217784427	1.342847112
-1.42109e-14	-55	2.30313440798218	0.5000000000	-1.186617259	1.321023626
5	-55	2.25645231752354	0.6612983887	-1.143649019	1.290936941
10	-55	2.20728990328995	0.8155433554	-1.089535295	1.253046103
15	-55	2.15578241415562	0.9621731562	-1.024853701	1.207755564
20	-55	2.10189443573403	1.100549711	-0.9499967699	1.155340176
25	-55	2.04570623068755	1.229971284	-0.8654284703	1.096124815
30	-55	1.98733345294013	1.349654720	-0.7716451446	1.030457024
35	-55	1.92686499341988	1.458697827	-0.6691623914	0.9586978275
40	-55	1.86453124243775	1.556154362	-0.5586757547	0.8813342516
45	-55	1.80060766521393	1.641022163	-0.4410221633	0.7989523200

-45	-50	2.51939625044505	-1.032096262	-0.8320962617	1.285581408
-40	-50	2.50232798403190	-0.8530492863	-0.9125013480	1.353049286
-35	-50	2.48037440428085	-0.6724335155	-0.9744085882	1.404995629
-30	-50	2.45440781231920	-0.4927631589	-1.019516231	1.442845435
-25	-50	2.42516009514555	-0.3158104446	-1.049511144	1.468014156
-20	-50	2.39313036792109	-0.1427311776	-1.065889397	1.481757142
-15	-50	2.35868183940557	0.02574228885	-1.069953874	1.485167643
-10	-50	2.32209341276082	0.1891676108	-1.062818078	1.479179999
-5	-50	2.28356118299313	0.3472978250	-1.045393847	1.464559333
-1.42109e-14	-50	2.24311520312956	0.5000000000	-1.018325937	1.441846660
5	-50	2.20074989675151	0.6471645684	-0.9820987138	1.411448410
10	-50	2.15646809947073	0.7886620012	-0.9370835594	1.373676211
15	-50	2.11027457164507	0.9243107195	-0.8835491632	1.328755519
20	-50	2.06205076740270	1.053812001	-0.8215859677	1.276762224
25	-50	2.01173242282349	1.176735662	-0.7512643103	1.217755348
30	-50	1.95922488955933	1.292470705	-0.6725995253	1.151747755
35	-50	1.90451690066909	1.400234836	-0.5856685867	1.078804037
40	-50	1.84761484205792	1.499035282	-0.4906038866	0.9990352821
45	-50	1.78864606941157	1.587712168	-0.3877121675	0.9126988786

-45	-45	2.45658044265654	-0.9183073799	-0.7183073799	1.418307380
-40	-45	2.43432338256199	-0.7421709691	-0.7803617150	1.480361715
-35	-45	2.40873632185163	-0.5687866712	-0.8263855541	1.526385554
-30	-45	2.38062059437303	-0.3997900084	-0.8584820107	1.558482011
-25	-45	2.35055366022869	-0.2360655669	-0.8784977021	1.578497702
-20	-45	2.31888819574653	-0.07796797086	-0.8879539491	1.587953949
-15	-45	2.28584461109455	0.07447450957	-0.8880827502	1.588082750
-10	-45	2.25156826544369	0.2214268999	-0.8798665580	1.579866558
-5	-45	2.21615504551638	0.3631617661	-0.8640681704	1.564068170
-1.42109e-14	-45	2.17955219017195	0.5000000000	-0.8411761336	1.541176134
5	-45	2.14165366010051	0.6322380873	-0.8114882547	1.511488255
10	-45	2.10239295966855	0.7601165300	-0.7751941478	1.475194148
15	-45	2.06160962624746	0.8837826259	-0.7322962590	1.432296259
20	-45	2.01910176221897	1.003248130	-0.6826628739	1.382662874
25	-45	1.97471314221966	1.118372757	-0.6261046578	1.326104658
30	-45	1.92824644366819	1.228808651	-0.5623336124	1.262333612
35	-45	1.87952535329861	1.333969093	-0.4910312980	1.191031298
40	-45	1.82838827848421	1.432978279	-0.4118802157	1.111880216
45	-45	1.77479560588952	1.524678721	-0.3246787208	1.024678721