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# N_patches = 4

### +z patch
# N_rho = 10
# N_sigma = 10
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
0	0	0.862036502558001	0.000000000	0.000000000	1.862036503
5	0	0.861045060547852	0.07504502179	0.000000000	1.857768524
10	0	0.858093005990035	0.1490062868	0.000000000	1.845056645
15	0	0.853214690684976	0.2208282115	0.000000000	1.824142105
20	0	0.846472439154072	0.2895106250	0.000000000	1.795423905
25	0	0.837949161346176	0.3541326180	0.000000000	1.759439850
30	0	0.827744523515667	0.4138722618	0.000000000	1.716847785
35	0	0.815988033019201	0.4680315081	0.000000000	1.668418265
40	0	0.802820244602559	0.5160429060	0.000000000	1.614995987
45	0	0.788399778920489	0.5574828300	0.000000000	1.557482830

0	5	0.861045060547852	0.000000000	0.07504502179	1.857768524
5	5	0.860067928008297	0.07467676868	0.07467676868	1.853559372
10	5	0.857153970531831	0.1482938160	0.07357936781	1.841016022
15	5	0.852332133849180	0.2198162734	0.07177268125	1.820365501
20	5	0.845663904429242	0.2882615666	0.06929033431	1.791992145
25	5	0.837228020069462	0.3527207807	0.06617748853	1.756412155
30	5	0.827120792583277	0.4123784199	0.06248968563	1.714260375
35	5	0.815465320450383	0.4665351437	0.05829205483	1.666281236
40	5	0.802397779953339	0.5146168916	0.05365649370	1.613296529
45	5	0.788071965484988	0.5561877449	0.04866012248	1.556187745

0	10	0.858093005990035	0.000000000	0.1490062868	1.845056645
5	10	0.857153970531831	0.07357936781	0.1482938160	1.841016022
10	10	0.854341825307421	0.1461675229	0.1461675229	1.828957215
15	10	0.849688771313901	0.2167936868	0.1426635247	1.809085054
20	10	0.843239801139213	0.2845257264	0.1378397395	1.781728009
25	10	0.835064390339673	0.3484916040	0.1317766742	1.747342656
30	10	0.825246530070322	0.4078949411	0.1245740883	1.706494762
35	10	0.813891487349029	0.4620342598	0.1163499414	1.659853307
40	10	0.801123208042149	0.5103177242	0.1072373055	1.608172981
45	10	0.787080276243825	0.5522736423	0.09738074387	1.552273642

0	15	0.853214690684976	0.000000000	0.2208282115	1.824142105
5	15	0.852332133849180	0.07177268125	0.2198162734	1.820365501
10	15	0.849688771313901	0.1426635247	0.2167936868	1.809085054
15	15	0.845303126612860	0.2118015242	0.2118015242	1.790454050
20	15	0.839210202762810	0.2783392746	0.2049090195	1.764730872
25	15	0.831456665457972	0.3414643342	0.1962118592	1.732272628
30	15	0.822109028244723	0.4004151686	0.1858333265	1.693539416
35	15	0.811248255047228	0.4544937314	0.1739216185	1.649084317
40	15	0.798972612711834	0.5030811074	0.1606485946	1.599548717
45	15	0.785399876524247	0.5456538865	0.1462075182	1.545653886

0	20	0.846472439154072	0.000000000	0.2895106250	1.795423905
5	20	0.845663904429242	0.06929033431	0.2882615666	1.791992145
10	20	0.843239801139214	0.1378397395	0.2845257264	1.781728009
15	20	0.839210202762810	0.2049090195	0.2783392746	1.764730872
20	20	0.833589028793164	0.2697623946	0.2697623946	1.741166088
25	20	0.826403130430893	0.3316736285	0.2588834349	1.711276392
30	20	0.817690795013074	0.3899329966	0.2458195860	1.675383762
35	20	0.807502888581093	0.4438569863	0.2307183548	1.633893470
40	20	0.795906708667778	0.4928024255	0.2137593768	1.587299061
45	20	0.782989715353251	0.5361843718	0.1951551514	1.536184372

0	25	0.837949161346176	0.000000000	0.3541326180	1.759439850
5	25	0.837228020069463	0.06617748853	0.3527207807	1.756412155
10	25	0.835064390339673	0.1317766742	0.3484916040	1.747342656
15	25	0.831456665457973	0.1962118592	0.3414643342	1.732272628
20	25	0.826403130430893	0.2588834349	0.3316736285	1.711276392
25	25	0.819905822286217	0.3191742673	0.3191742673	1.684471425
30	25	0.811971817351202	0.3764486721	0.3040457553	1.652028226
35	25	0.802617115769728	0.4300561462	0.2863986225	1.614183828
40	25	0.791875577155244	0.4793434294	0.2663825650	1.571259254
45	25	0.779792496858612	0.5236641414	0.2441885995	1.523664141

0	30	0.827744523515668	0.000000000	0.4138722618	1.716847785
5	30	0.827120792583278	0.06248968563	0.4123784199	1.714260375
10	30	0.825246530070323	0.1245740883	0.4078949411	1.706494762
15	30	0.822109028244724	0.1858333265	0.4004151686	1.693539416
20	30	0.817690795013075	0.2458195860	0.3899329966	1.675383762
25	30	0.811971817351202	0.3040457553	0.3764486721	1.652028226
30	30	0.804928193166846	0.3599748314	0.3599748314	1.623494697
35	30	0.796543933252638	0.4130179007	0.3405504556	1.589850692
40	30	0.786810948168337	0.4625338052	0.3182506666	1.551226324
45	30	0.775730853419541	0.5078350507	0.2931987032	1.507835051

0	35	0.815988033019204	0.000000000	0.4680315081	1.668418265
5	35	0.815465320450386	0.05829205483	0.4665351437	1.666281236
10	35	0.813891487349032	0.1163499414	0.4620342598	1.659853307
15	35	0.811248255047230	0.1739216185	0.4544937314	1.649084317
20	35	0.807502888581095	0.2307183548	0.4438569863	1.633893470
25	35	0.802617115769729	0.2863986225	0.4300561462	1.614183828
30	35	0.796543933252638	0.3405504556	0.4130179007	1.589850692
35	35	0.789234295219383	0.3926778507	0.3926778507	1.560802090
40	35	0.780637972824407	0.4421884606	0.3689951490	1.526979686
45	35	0.770712385981393	0.4883906311	0.3419748015	1.488390631

0	40	0.802820244602562	0.000000000	0.5160429060	1.614995987
5	40	0.802397779953342	0.05365649370	0.5146168916	1.613296529
10	40	0.801123208042153	0.1072373055	0.5103177242	1.608172981
15	40	0.798972612711836	0.1606485946	0.5030811074	1.599548717
20	40	0.795906708667780	0.2137593768	0.4928024255	1.587299061
25	40	0.791875577155246	0.2663825650	0.4793434294	1.571259254
30	40	0.786810948168338	0.3182506666	0.4625338052	1.551226324
35	40	0.780637972824408	0.3689951490	0.4421884606	1.526979686
40	40	0.773272367399943	0.4181208984	0.4181208984	1.498297083
45	40	0.764629233689837	0.4649866373	0.3901701158	1.464986637

0	45	0.788399778920493	0.000000000	0.5574828300	1.557482830
5	45	0.788071965484993	0.04866012248	0.5561877449	1.556187745
10	45	0.787080276243829	0.09738074387	0.5522736423	1.552273642
15	45	0.785399876524250	0.1462075182	0.5456538865	1.545653886
20	45	0.782989715353254	0.1951551514	0.5361843718	1.536184372
25	45	0.779792496858615	0.2441885995	0.5236641414	1.523664141
30	45	0.775730853419543	0.2931987032	0.5078350507	1.507835051
35	45	0.770712385981395	0.3419748015	0.4883906311	1.488390631
40	45	0.764629233689838	0.3901701158	0.4649866373	1.464986637
45	45	0.757360318534262	0.4372621838	0.4372621838	1.437262184


### +x patch
# N_rho = 19
# N_sigma = 10
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	0	0.788399781739763	0.5574828320	0.000000000	1.557482832
45	5	0.788071969306637	0.5561877476	0.04866012271	1.556187748
45	10	0.787080274847399	0.5522736413	0.09738074370	1.552273641
45	15	0.785399865269176	0.5456538787	0.1462075161	1.545653879
45	20	0.782989790662030	0.5361844234	0.1951551702	1.536184423
45	25	0.779792430349651	0.5236640968	0.2441885786	1.523664097
45	30	0.775731000226791	0.5078351468	0.2931987587	1.507835147
45	35	0.770712453705261	0.4883906740	0.3419748315	1.488390674
45	40	0.764629394813409	0.4649867353	0.3901701981	1.464986735
45	45	0.757360657917464	0.4372623797	0.4372623797	1.437262380

50	0	0.772894174777954	0.5920712877	0.000000000	1.496806799
50	5	0.772550068404627	0.5904830341	0.05166057149	1.495474096
50	10	0.771510622220067	0.5856925757	0.1032734035	1.491454424
50	15	0.769756289296601	0.5776248002	0.1547740987	1.484684757
50	20	0.767257986522388	0.5661591870	0.2060650919	1.475063965
50	25	0.763970001967672	0.5511281647	0.2569952838	1.462451440
50	30	0.759839468002102	0.5323305653	0.3073411952	1.446678381
50	35	0.754800554769917	0.5095378057	0.3567822126	1.427552985
50	40	0.748783134589297	0.4825162095	0.4048791735	1.404879173
50	45	0.741715275840544	0.4510521920	0.4510521920	1.378477728

55	0	0.756481133966870	0.6196730674	0.000000000	1.433899753
55	5	0.756136562617784	0.6178062887	0.05405104652	1.432592621
55	10	0.755097355453428	0.6121866306	0.1079450202	1.428657694
55	15	0.753348402511754	0.6027583172	0.1615086043	1.422055917
55	20	0.750873796478394	0.5894393732	0.2145383868	1.412729892
55	25	0.747643406316247	0.5721164928	0.2667823019	1.400600281
55	30	0.743623492687207	0.5506624471	0.3179251121	1.385577996
55	35	0.738776818637355	0.5249487843	0.3675730959	1.367573096
55	40	0.733065662187776	0.4948653874	0.4152413641	1.346508475
55	45	0.726457340271528	0.4603467718	0.4603467718	1.322338280

60	0	0.739349074095796	0.6402950804	0.000000000	1.369674537
60	5	0.739019379518197	0.6381803770	0.05583354828	1.368453612
60	10	0.738025526622255	0.6318247334	0.1114077476	1.364784180
60	15	0.736364679331880	0.6212046240	0.1664512773	1.358652657
60	20	0.734026615258245	0.6062800995	0.2206679099	1.350035979
60	25	0.730995708944827	0.5870029298	0.2737239615	1.338906300
60	30	0.727255389117409	0.5633296021	0.3252384974	1.325238497
60	35	0.722791288691884	0.5352359409	0.3747762405	1.309018615
60	40	0.717591995285795	0.5027327069	0.4218428289	1.290252864
60	45	0.711651838393243	0.4658854883	0.4658854883	1.268979112

65	0	0.721680959691390	0.6540650735	0.000000000	1.304995553
65	5	0.721381498741973	0.6517480556	0.05702056634	1.303915110
65	10	0.720484118322967	0.6447987977	0.1136954252	1.300674617
65	15	0.718988144167550	0.6332204185	0.1696708998	1.295275530
65	20	0.716888261222690	0.6170181076	0.2245762252	1.287720269
65	25	0.714182208727004	0.5962115414	0.2780180076	1.278018008
65	30	0.710869363152126	0.5708411058	0.3295752661	1.266187579
65	35	0.706950230451789	0.5409769992	0.3787961728	1.252261718
65	40	0.702428837506154	0.5067323521	0.4251989298	1.236293176
65	45	0.697316210278085	0.4682777739	0.4682777739	1.218361512

70	0	0.703675631692074	0.6612387985	0.000000000	1.240671240
70	5	0.703419092000503	0.6587751857	0.05763536056	1.239774559
70	10	0.702654507823524	0.6513979871	0.1148590403	1.237089478
70	15	0.701388649469304	0.6391408870	0.1712572845	1.232628258
70	20	0.699614457086253	0.6220457471	0.2264061363	1.226406136
70	25	0.697341670773438	0.6001945649	0.2798753220	1.218452956
70	30	0.694576875810449	0.5736960059	0.3312235434	1.208808270
70	35	0.691328906240927	0.5426963614	0.3800000832	1.197525322
70	40	0.687609831501441	0.5073868633	0.4257481299	1.184673716
70	45	0.683437920318067	0.4680121907	0.4680121907	1.170342507

75	0	0.685507353930824	0.6621492573	0.000000000	1.177422359
75	5	0.685306191398233	0.6596038498	0.05770785927	1.176740319
75	10	0.684708938147964	0.6519890420	0.1149632592	1.174699937
75	15	0.683724395889998	0.6393596575	0.1713159039	1.171315904
75	20	0.682347165632193	0.6217893219	0.2263128051	1.166607947
75	25	0.680590050830456	0.5994028139	0.2795061225	1.160609500
75	30	0.678462569115211	0.5723578235	0.3304509435	1.153362817
75	35	0.675976003981302	0.5408522235	0.3787088040	1.144920917
75	40	0.673144173085677	0.5051271083	0.4238519702	1.135348401
75	45	0.669986086386917	0.4654705493	0.4654705493	1.124722458

80	0	0.667350357717164	0.6572118063	0.000000000	1.115884173
80	5	0.667214407768063	0.6546525206	0.05727467410	1.115432902
80	10	0.666810569811629	0.6469979776	0.1140831999	1.114083200
80	15	0.666142597478682	0.6343099232	0.1699628317	1.111845954
80	20	0.665210835656613	0.6166857176	0.2244552451	1.108738331
80	25	0.664023525870412	0.5942692701	0.2771123117	1.104785706
80	30	0.662590077555971	0.5672443351	0.3274986696	1.100020481
80	35	0.660919861885091	0.5358332941	0.3751945117	1.094481867
80	40	0.659024491144675	0.5002986875	0.4198004441	1.088216157
80	45	0.656919256946926	0.4609430597	0.4609430597	1.081276698

85	0	0.649380859297107	0.6469097691	0.000000000	1.056597271
85	5	0.649314040424974	0.6444003624	0.05637772648	1.056377726
85	10	0.649114122295318	0.6368930157	0.1123014225	1.055720919
85	15	0.648777675221069	0.6244453320	0.1673196224	1.054631888
85	20	0.648312912237364	0.6071664303	0.2209905079	1.053120180
85	25	0.647721341293438	0.5851981586	0.2728823829	1.051198205
85	30	0.647006691392273	0.5587227963	0.3225787569	1.048881911
85	35	0.646175125599519	0.5279615825	0.3696826800	1.046190653
85	40	0.645233577584803	0.4931712470	0.4138198115	1.043146893
85	45	0.644190387457064	0.4546422340	0.4546422340	1.039776041

90	0	0.631753690754711	0.6317536908	0.000000000	1.000000000
90	5	0.631752901878880	0.6293488914	0.05506089340	1.000000000
90	10	0.631752411348134	0.6221546727	0.1097026550	1.000000000
90	15	0.631752851650150	0.6102263952	0.1635096698	1.000000000
90	20	0.631751621195746	0.5936523366	0.2160717800	1.000000000
90	25	0.631750912810587	0.5725607717	0.2669894726	1.000000000
90	30	0.631750334220056	0.5471118383	0.3158751671	1.000000000
90	35	0.631749585548369	0.5174989645	0.3623566759	1.000000000
90	40	0.631749595948113	0.4839482674	0.4060808127	1.000000000
90	45	0.631749480443033	0.4467143416	0.4467143416	1.000000000

95	0	0.614607575375819	0.6122688080	0.000000000	0.9464334203
95	5	0.614669458192507	0.6100179527	0.05336965541	0.9466303446
95	10	0.614857191836760	0.6032810529	0.1063747266	0.9472197470
95	15	0.615173600870220	0.5921015752	0.1586531389	0.9481978245
95	20	0.615613337093415	0.5765421994	0.2098441994	0.9495590935
95	25	0.616175458065670	0.5566973334	0.2595922298	0.9512952943
95	30	0.616854913643517	0.5326852208	0.3075459556	0.9533960820
95	35	0.617647165538921	0.5046526275	0.3533615740	0.9558486161
95	40	0.618547011631563	0.4727739096	0.3967044131	0.9586376425
95	45	0.619547899824719	0.4372506121	0.4372506121	0.9617455283

100	0	0.598060164868716	0.5889742871	0.000000000	0.8961479422
100	5	0.598179696772928	0.5869175511	0.05134863214	0.8965106003
100	10	0.598537860635826	0.5807538196	0.1024025675	0.8975974325
100	15	0.599137685764188	0.5705069468	0.1528668757	0.8994042326
100	20	0.599975653009906	0.5562092442	0.2024436089	0.9019253033
100	25	0.601047438365877	0.5379086864	0.2508309398	0.9051521854
100	30	0.602346614863816	0.5156698185	0.2977221085	0.9090734979
100	35	0.603867729529413	0.4895789238	0.3428068530	0.9136740265
100	40	0.605603179030785	0.4597438785	0.3857709189	0.9189347500
100	45	0.607543364327766	0.4262972873	0.4262972873	0.9248322864

105	0	0.582221259221048	0.5623825509	0.000000000	0.8493100497
105	5	0.582388346476572	0.5605459285	0.04904141413	0.8498021711
105	10	0.582890569147180	0.5550362243	0.09786786162	0.8512784919
105	15	0.583730045212700	0.5458536276	0.1462610387	0.8537389613
105	20	0.584905468997572	0.5329955091	0.1939945003	0.8571842838
105	25	0.586413791356088	0.5164607920	0.2408296224	0.8616147479
105	30	0.588252533075016	0.4962557329	0.2865133810	0.8670286771
105	35	0.590417346013881	0.4723962574	0.3307754205	0.8734218043
105	40	0.592900662286011	0.4449124110	0.3733258400	0.8807860788
105	45	0.595693748501948	0.4138562008	0.4138562008	0.8891075652

110	0	0.567182927206040	0.5329776113	0.000000000	0.8060120139
110	5	0.567387007391894	0.5313766507	0.04648943300	0.8065947160
110	10	0.568000452124882	0.5265665375	0.09284788769	0.8083454540
110	15	0.569026178354026	0.5185254946	0.1389384875	0.8112721543
110	20	0.570467161233617	0.5072174651	0.1846120596	0.8153879404
110	25	0.572325724604688	0.4925946687	0.2297006664	0.8207102030
110	30	0.574604091898140	0.4746027171	0.2740120065	0.8272587379
110	35	0.577304023322980	0.4531863054	0.3173244673	0.8350536742
110	40	0.580426732004048	0.4282965214	0.3593834532	0.8441128148
110	45	0.583969600259546	0.3998971725	0.3998971725	0.8544493324

115	0	0.553025093276731	0.5012109485	0.000000000	0.7662814964
115	5	0.553253886335488	0.4998494490	0.04373116026	0.7669163740
115	10	0.553942096226503	0.4957516600	0.08741439339	0.7688272044
115	15	0.555095154253152	0.4888781390	0.1309945025	0.7720323799
115	20	0.556720707610696	0.4791635964	0.1744012864	0.7765623455
115	25	0.558829126210597	0.4665201270	0.2175419079	0.7824580921
115	30	0.561433131343626	0.4508410774	0.2602932174	0.7897693530
115	35	0.564546330237935	0.4320057714	0.3024936977	0.7985524004
115	40	0.568179938718522	0.4098851604	0.3439344870	0.8088674107
115	45	0.572345712571234	0.3843547192	0.3843547192	0.8207724510

120	0	0.539809381212231	0.4674886373	0.000000000	0.7300953094
120	5	0.540049936321573	0.4663602627	0.04080123611	0.7307467768
120	10	0.540774640372062	0.4629579610	0.08163197947	0.7327110966
120	15	0.541992700155645	0.4572304742	0.1225145363	0.7360178626
120	20	0.543719245728423	0.4490929233	0.1634564565	0.7407160798
120	25	0.545974505333079	0.4384275178	0.2044421091	0.7468737546
120	30	0.548782565036197	0.4250851470	0.2454230241	0.7545769759
120	35	0.552170909560400	0.4088894276	0.2863074595	0.7639275789
120	40	0.556172165914605	0.3896447289	0.3269507483	0.7750385109
120	45	0.560814224181881	0.3671390904	0.3671390904	0.7880321473

125	0	0.527581214615465	0.4321692305	0.000000000	0.6973918470
125	5	0.527821783127856	0.4312602155	0.03773037989	0.6980283462
125	10	0.528547822757576	0.4285141623	0.07555860842	0.6999511534
125	15	0.529772288876291	0.4238738043	0.1135766435	0.7032003670
125	20	0.531517281219997	0.4172435029	0.1518642155	0.7078429540
125	25	0.533813439841248	0.4084881514	0.1904811533	0.7139735171
125	30	0.536699863073827	0.3974329252	0.2294580064	0.7217144698
125	35	0.540220776656984	0.3838618549	0.2687829644	0.7312170356
125	40	0.544429756814232	0.3675242975	0.3083895025	0.7426567164
125	45	0.549383389109759	0.3481372623	0.3481372623	0.7562316646

130	0	0.516374624050018	0.3955659113	0.000000000	0.6680807897
130	5	0.516604586707390	0.3948562770	0.03454544796	0.6686762436
130	10	0.517299969368879	0.3927084641	0.06924509777	0.6704784726
130	15	0.518477339111239	0.3890651802	0.1042497008	0.6735355508
130	20	0.520165005555100	0.3838294313	0.1397024880	0.6779288658
130	25	0.522402826175379	0.3768615392	0.1757334218	0.6837756215
130	30	0.525242706781383	0.3679760776	0.2124510875	0.6912314090
130	35	0.528749814427711	0.3569393511	0.2499316243	0.7004923222
130	40	0.532998911494089	0.3434647531	0.2882011477	0.7117988523
130	45	0.538079965744462	0.3272174053	0.3272174053	0.7254319959

135	0	0.506214664457665	0.3579478220	0.000000000	0.6420521780
135	5	0.506425258645350	0.3574134532	0.03126962535	0.6425865468
135	10	0.507063306039819	0.3557930587	0.06273591579	0.6442069413
135	15	0.508147867023125	0.3530339981	0.09459517470	0.6469660019
135	20	0.509711372282851	0.3490458005	0.1270422818	0.6509541995
135	25	0.511800887009003	0.3436962694	0.1602682025	0.6563037306
135	30	0.514479990756346	0.3368062145	0.1944551586	0.6631937855
135	35	0.517830105281389	0.3281423479	0.2297677456	0.6718576521
135	40	0.521949730425010	0.3174082801	0.2663371708	0.6825917199
135	45	0.526960389299915	0.3042407226	0.3042407226	0.6957592774


### +y patch
# N_rho = 19
# N_sigma = 10
# ghosted_gfn=-1
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	0.757360657917461	0.4372623797	0.4372623797	1.437262380
40	45	0.764629394813409	0.3901701981	0.4649867353	1.464986735
35	45	0.770712453705263	0.3419748315	0.4883906740	1.488390674
30	45	0.775731000226793	0.2931987587	0.5078351468	1.507835147
25	45	0.779792430349653	0.2441885786	0.5236640968	1.523664097
20	45	0.782989790662032	0.1951551702	0.5361844234	1.536184423
15	45	0.785399865269178	0.1462075161	0.5456538787	1.545653879
10	45	0.787080274847402	0.09738074370	0.5522736413	1.552273641
5	45	0.788071969306641	0.04866012271	0.5561877476	1.556187748
0	45	0.788399781739767	0.000000000	0.5574828320	1.557482832

45	50	0.741715275840543	0.4510521920	0.4510521920	1.378477728
40	50	0.748783134589297	0.4048791735	0.4825162095	1.404879173
35	50	0.754800554769918	0.3567822126	0.5095378057	1.427552985
30	50	0.759839468002104	0.3073411952	0.5323305653	1.446678381
25	50	0.763970001967674	0.2569952838	0.5511281647	1.462451440
20	50	0.767257986522391	0.2060650919	0.5661591870	1.475063965
15	50	0.769756289296604	0.1547740987	0.5776248002	1.484684757
10	50	0.771510622220070	0.1032734035	0.5856925757	1.491454424
5	50	0.772550068404631	0.05166057149	0.5904830341	1.495474096
0	50	0.772894174777958	0.000000000	0.5920712877	1.496806799

45	55	0.726457340271528	0.4603467718	0.4603467718	1.322338280
40	55	0.733065662187777	0.4152413641	0.4948653874	1.346508475
35	55	0.738776818637357	0.3675730959	0.5249487843	1.367573096
30	55	0.743623492687210	0.3179251121	0.5506624471	1.385577996
25	55	0.747643406316251	0.2667823019	0.5721164928	1.400600281
20	55	0.750873796478398	0.2145383868	0.5894393732	1.412729892
15	55	0.753348402511758	0.1615086043	0.6027583172	1.422055917
10	55	0.755097355453433	0.1079450202	0.6121866306	1.428657694
5	55	0.756136562617789	0.05405104652	0.6178062887	1.432592621
0	55	0.756481133966876	0.000000000	0.6196730674	1.433899753

45	60	0.711651838393243	0.4658854883	0.4658854883	1.268979112
40	60	0.717591995285797	0.4218428289	0.5027327069	1.290252864
35	60	0.722791288691887	0.3747762405	0.5352359409	1.309018615
30	60	0.727255389117413	0.3252384974	0.5633296021	1.325238497
25	60	0.730995708944831	0.2737239615	0.5870029298	1.338906300
20	60	0.734026615258249	0.2206679099	0.6062800995	1.350035979
15	60	0.736364679331885	0.1664512773	0.6212046240	1.358652657
10	60	0.738025526622261	0.1114077476	0.6318247334	1.364784180
5	60	0.739019379518203	0.05583354828	0.6381803770	1.368453612
0	60	0.739349074095803	0.000000000	0.6402950804	1.369674537

45	65	0.697316210278084	0.4682777739	0.4682777739	1.218361512
40	65	0.702428837506155	0.4251989298	0.5067323521	1.236293176
35	65	0.706950230451792	0.3787961728	0.5409769992	1.252261718
30	65	0.710869363152130	0.3295752661	0.5708411058	1.266187579
25	65	0.714182208727008	0.2780180076	0.5962115414	1.278018008
20	65	0.716888261222695	0.2245762252	0.6170181076	1.287720269
15	65	0.718988144167556	0.1696708998	0.6332204185	1.295275530
10	65	0.720484118322974	0.1136954252	0.6447987977	1.300674617
5	65	0.721381498741981	0.05702056634	0.6517480556	1.303915110
0	65	0.721680959691398	0.000000000	0.6540650735	1.304995553

45	70	0.683437920318067	0.4680121907	0.4680121907	1.170342507
40	70	0.687609831501443	0.4257481299	0.5073868633	1.184673716
35	70	0.691328906240930	0.3800000832	0.5426963614	1.197525322
30	70	0.694576875810453	0.3312235434	0.5736960059	1.208808270
25	70	0.697341670773443	0.2798753220	0.6001945649	1.218452956
20	70	0.699614457086259	0.2264061363	0.6220457471	1.226406136
15	70	0.701388649469311	0.1712572845	0.6391408870	1.232628258
10	70	0.702654507823531	0.1148590403	0.6513979871	1.237089478
5	70	0.703419092000511	0.05763536056	0.6587751857	1.239774559
0	70	0.703675631692083	0.000000000	0.6612387985	1.240671240

45	75	0.669986086386917	0.4654705493	0.4654705493	1.124722458
40	75	0.673144173085679	0.4238519702	0.5051271083	1.135348401
35	75	0.675976003981305	0.3787088040	0.5408522235	1.144920917
30	75	0.678462569115215	0.3304509435	0.5723578235	1.153362817
25	75	0.680590050830462	0.2795061225	0.5994028139	1.160609500
20	75	0.682347165632200	0.2263128051	0.6217893219	1.166607947
15	75	0.683724395890005	0.1713159039	0.6393596575	1.171315904
10	75	0.684708938147973	0.1149632592	0.6519890420	1.174699937
5	75	0.685306191398243	0.05770785927	0.6596038498	1.176740319
0	75	0.685507353930833	0.000000000	0.6621492573	1.177422359

45	80	0.656919256946925	0.4609430597	0.4609430597	1.081276698
40	80	0.659024491144676	0.4198004441	0.5002986875	1.088216157
35	80	0.660919861885094	0.3751945117	0.5358332941	1.094481867
30	80	0.662590077555975	0.3274986696	0.5672443351	1.100020481
25	80	0.664023525870417	0.2771123117	0.5942692701	1.104785706
20	80	0.665210835656620	0.2244552451	0.6166857176	1.108738331
15	80	0.666142597478689	0.1699628317	0.6343099232	1.111845954
10	80	0.666810569811638	0.1140831999	0.6469979776	1.114083200
5	80	0.667214407768073	0.05727467410	0.6546525206	1.115432902
0	80	0.667350357717173	0.000000000	0.6572118063	1.115884173

45	85	0.644190387457063	0.4546422340	0.4546422340	1.039776041
40	85	0.645233577584805	0.4138198115	0.4931712470	1.043146893
35	85	0.646175125599522	0.3696826800	0.5279615825	1.046190653
30	85	0.647006691392277	0.3225787569	0.5587227963	1.048881911
25	85	0.647721341293444	0.2728823829	0.5851981586	1.051198205
20	85	0.648312912237371	0.2209905079	0.6071664303	1.053120180
15	85	0.648777675221078	0.1673196224	0.6244453320	1.054631888
10	85	0.649114122295330	0.1123014225	0.6368930157	1.055720919
5	85	0.649314040424985	0.05637772648	0.6444003624	1.056377726
0	85	0.649380859297117	0.000000000	0.6469097691	1.056597271

45	90	0.631749480443034	0.4467143416	0.4467143416	1.000000000
40	90	0.631749595948114	0.4060808127	0.4839482674	1.000000000
35	90	0.631749585548372	0.3623566759	0.5174989645	1.000000000
30	90	0.631750334220061	0.3158751671	0.5471118383	1.000000000
25	90	0.631750912810593	0.2669894726	0.5725607717	1.000000000
20	90	0.631751621195753	0.2160717800	0.5936523366	1.000000000
15	90	0.631752851650158	0.1635096698	0.6102263952	1.000000000
10	90	0.631752411348144	0.1097026550	0.6221546727	1.000000000
5	90	0.631752901878890	0.05506089340	0.6293488914	1.000000000
0	90	0.631753690754721	0.000000000	0.6317536908	1.000000000

45	95	0.619547899824721	0.4372506121	0.4372506121	0.9617455283
40	95	0.618547011631565	0.3967044131	0.4727739096	0.9586376425
35	95	0.617647165538924	0.3533615740	0.5046526275	0.9558486161
30	95	0.616854913643522	0.3075459556	0.5326852208	0.9533960820
25	95	0.616175458065676	0.2595922298	0.5566973334	0.9512952943
20	95	0.615613337093422	0.2098441994	0.5765421994	0.9495590935
15	95	0.615173600870228	0.1586531389	0.5921015752	0.9481978245
10	95	0.614857191836769	0.1063747266	0.6032810529	0.9472197470
5	95	0.614669458192516	0.05336965541	0.6100179527	0.9466303446
0	95	0.614607575375828	0.000000000	0.6122688080	0.9464334203

45	100	0.607543364327766	0.4262972873	0.4262972873	0.9248322864
40	100	0.605603179030787	0.3857709189	0.4597438785	0.9189347500
35	100	0.603867729529416	0.3428068530	0.4895789238	0.9136740265
30	100	0.602346614863820	0.2977221085	0.5156698185	0.9090734979
25	100	0.601047438365882	0.2508309398	0.5379086864	0.9051521854
20	100	0.599975653009913	0.2024436089	0.5562092442	0.9019253033
15	100	0.599137685764195	0.1528668757	0.5705069468	0.8994042326
10	100	0.598537860635834	0.1024025675	0.5807538196	0.8975974325
5	100	0.598179696772936	0.05134863214	0.5869175511	0.8965106003
0	100	0.598060164868724	0.000000000	0.5889742871	0.8961479422

45	105	0.595693748501948	0.4138562008	0.4138562008	0.8891075652
40	105	0.592900662286013	0.3733258400	0.4449124110	0.8807860788
35	105	0.590417346013884	0.3307754205	0.4723962574	0.8734218043
30	105	0.588252533075019	0.2865133810	0.4962557329	0.8670286771
25	105	0.586413791356093	0.2408296224	0.5164607920	0.8616147479
20	105	0.584905468997578	0.1939945003	0.5329955091	0.8571842838
15	105	0.583730045212706	0.1462610387	0.5458536276	0.8537389613
10	105	0.582890569147187	0.09786786162	0.5550362243	0.8512784919
5	105	0.582388346476579	0.04904141413	0.5605459285	0.8498021711
0	105	0.582221259221055	0.000000000	0.5623825509	0.8493100497

45	110	0.583969600259546	0.3998971725	0.3998971725	0.8544493324
40	110	0.580426732004050	0.3593834532	0.4282965214	0.8441128148
35	110	0.577304023322982	0.3173244673	0.4531863054	0.8350536742
30	110	0.574604091898143	0.2740120065	0.4746027171	0.8272587379
25	110	0.572325724604692	0.2297006664	0.4925946687	0.8207102030
20	110	0.570467161233622	0.1846120596	0.5072174651	0.8153879404
15	110	0.569026178354032	0.1389384875	0.5185254946	0.8112721543
10	110	0.568000452124888	0.09284788769	0.5265665375	0.8083454540
5	110	0.567387007391899	0.04648943300	0.5313766507	0.8065947160
0	110	0.567182927206046	0.000000000	0.5329776113	0.8060120139

45	115	0.572345712571233	0.3843547192	0.3843547192	0.8207724510
40	115	0.568179938718523	0.3439344870	0.4098851604	0.8088674107
35	115	0.564546330237937	0.3024936977	0.4320057714	0.7985524004
30	115	0.561433131343629	0.2602932174	0.4508410774	0.7897693530
25	115	0.558829126210601	0.2175419079	0.4665201270	0.7824580921
20	115	0.556720707610700	0.1744012864	0.4791635964	0.7765623455
15	115	0.555095154253157	0.1309945025	0.4888781390	0.7720323799
10	115	0.553942096226508	0.08741439339	0.4957516600	0.7688272044
5	115	0.553253886335494	0.04373116026	0.4998494490	0.7669163740
0	115	0.553025093276736	0.000000000	0.5012109485	0.7662814964

45	120	0.560814224181881	0.3671390904	0.3671390904	0.7880321473
40	120	0.556172165914606	0.3269507483	0.3896447289	0.7750385109
35	120	0.552170909560402	0.2863074595	0.4088894276	0.7639275789
30	120	0.548782565036200	0.2454230241	0.4250851470	0.7545769759
25	120	0.545974505333082	0.2044421091	0.4384275178	0.7468737546
20	120	0.543719245728427	0.1634564565	0.4490929233	0.7407160798
15	120	0.541992700155650	0.1225145363	0.4572304742	0.7360178626
10	120	0.540774640372066	0.08163197947	0.4629579610	0.7327110966
5	120	0.540049936321578	0.04080123611	0.4663602627	0.7307467768
0	120	0.539809381212235	0.000000000	0.4674886373	0.7300953094

45	125	0.549383389109759	0.3481372623	0.3481372623	0.7562316646
40	125	0.544429756814233	0.3083895025	0.3675242975	0.7426567164
35	125	0.540220776656986	0.2687829644	0.3838618549	0.7312170356
30	125	0.536699863073830	0.2294580064	0.3974329252	0.7217144698
25	125	0.533813439841251	0.1904811533	0.4084881514	0.7139735171
20	125	0.531517281220000	0.1518642155	0.4172435029	0.7078429540
15	125	0.529772288876295	0.1135766435	0.4238738043	0.7032003670
10	125	0.528547822757580	0.07555860842	0.4285141623	0.6999511534
5	125	0.527821783127860	0.03773037989	0.4312602155	0.6980283462
0	125	0.527581214615469	0.000000000	0.4321692305	0.6973918470

45	130	0.538079965744463	0.3272174053	0.3272174053	0.7254319959
40	130	0.532998911494090	0.2882011477	0.3434647531	0.7117988523
35	130	0.528749814427713	0.2499316243	0.3569393511	0.7004923222
30	130	0.525242706781386	0.2124510875	0.3679760776	0.6912314090
25	130	0.522402826175382	0.1757334218	0.3768615392	0.6837756215
20	130	0.520165005555104	0.1397024880	0.3838294313	0.6779288658
15	130	0.518477339111243	0.1042497008	0.3890651802	0.6735355508
10	130	0.517299969368883	0.06924509777	0.3927084641	0.6704784726
5	130	0.516604586707393	0.03454544796	0.3948562770	0.6686762436
0	130	0.516374624050022	0.000000000	0.3955659113	0.6680807897

45	135	0.526960389299915	0.3042407226	0.3042407226	0.6957592774
40	135	0.521949730425011	0.2663371708	0.3174082801	0.6825917199
35	135	0.517830105281391	0.2297677456	0.3281423479	0.6718576521
30	135	0.514479990756349	0.1944551586	0.3368062145	0.6631937855
25	135	0.511800887009006	0.1602682025	0.3436962694	0.6563037306
20	135	0.509711372282854	0.1270422818	0.3490458005	0.6509541995
15	135	0.508147867023128	0.09459517470	0.3530339981	0.6469660019
10	135	0.507063306039822	0.06273591579	0.3557930587	0.6442069413
5	135	0.506425258645354	0.03126962535	0.3574134532	0.6425865468
0	135	0.506214664457668	0.000000000	0.3579478220	0.6420521780


### -z patch
# N_rho = 10
# N_sigma = 10
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = 180 - drho = 180 - dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
135	45	0.526960252845299	0.3042406438	0.3042406438	0.6957593562
140	45	0.521949896527735	0.2663372555	0.3174083811	0.6825916189
145	45	0.517830076360899	0.2297677328	0.3281423296	0.6718576704
150	45	0.514480029237922	0.1944551731	0.3368062396	0.6631937604
155	45	0.511800913663280	0.1602682109	0.3436962873	0.6563037127
160	45	0.509711379671315	0.1270422836	0.3490458055	0.6509541945
165	45	0.508147871098416	0.09459517546	0.3530340010	0.6469659990
170	45	0.507063306226750	0.06273591582	0.3557930588	0.6442069412
175	45	0.506425258497937	0.03126962534	0.3574134531	0.6425865469
180	45	0.506214664342925	4.383596543e-17	0.3579478219	0.6420521781

135	40	0.521949896527734	0.3174083811	0.2663372555	0.6825916189
140	40	0.516115155567420	0.2790718273	0.2790718273	0.6674151473
145	40	0.511244366096747	0.2416570774	0.2895918045	0.6548779266
150	40	0.507233161383191	0.2051665551	0.2981815197	0.6446411026
155	40	0.503989306324204	0.1695392155	0.3050781833	0.6364219790
160	40	0.501435926847311	0.1346723555	0.3104746301	0.6299907441
165	40	0.499512155922823	0.1004363911	0.3145228317	0.6251662854
170	40	0.498170987578038	0.06668451727	0.3173363125	0.6218133096
175	40	0.497379309432383	0.03325984997	0.3189936470	0.6198381752
180	40	0.497117576834950	4.663628388e-17	0.3195410189	0.6191858427

135	35	0.517830076360897	0.3281423296	0.2297677328	0.6718576704
140	35	0.511244366096746	0.2895918045	0.2416570774	0.6548779266
145	35	0.505674475492790	0.2515947006	0.2515947006	0.6406855299
150	35	0.501032815564908	0.2142090932	0.2597917240	0.6289789672
155	35	0.497242283372383	0.1774314330	0.2664310241	0.6194970640
160	35	0.494234417774783	0.1412118190	0.2716639188	0.6120237158
165	35	0.491952444771274	0.1054685355	0.2756114431	0.6063860669
170	35	0.490353408280944	0.07009852197	0.2783664378	0.6024515268
175	35	0.489406268160325	0.03498431669	0.2799937875	0.6001274305
180	35	0.489092614621663	4.906439817e-17	0.2805319989	0.5993587849

135	30	0.514480029237919	0.3368062396	0.1944551731	0.6631937604
140	30	0.507233161383189	0.2981815197	0.2051665551	0.6446411026
145	30	0.501032815564907	0.2597917240	0.2142090932	0.6289789672
150	30	0.495814283844976	0.2217348886	0.2217348886	0.6159439072
155	30	0.491513491358452	0.1840489873	0.2278768760	0.6053056729
160	30	0.488075300138969	0.1467284075	0.2327489383	0.5968670135
165	30	0.485451907199798	0.1097337940	0.2364434650	0.5904679054
170	30	0.483605637152145	0.07300210198	0.2390319568	0.5859845063
175	30	0.482508392156037	0.03645392307	0.2405646794	0.5833297527
180	30	0.482144440071062	5.113504546e-17	0.2410722200	0.5824506666

135	25	0.511800913663277	0.3436962873	0.1602682109	0.6563037127
140	25	0.503989306324201	0.3050781833	0.1695392155	0.6364219790
145	25	0.497242283372381	0.2664310241	0.1774314330	0.6194970640
150	25	0.491513491358451	0.2278768760	0.1840489873	0.6053056729
155	25	0.486756719161635	0.1894854445	0.1894854445	0.5936471530
160	25	0.482929599871292	0.1512850920	0.1938218852	0.5843476258
165	25	0.479993198841278	0.1132715172	0.1971245945	0.5772649428
170	25	0.477918621105740	0.07541756916	0.1994464484	0.5722857112
175	25	0.476682836839432	0.03767871143	0.2008245523	0.5693303577
180	25	0.476272443546793	5.286180859e-17	0.2012814322	0.5683505757

135	20	0.509711379671312	0.3490458055	0.1270422836	0.6509541945
140	20	0.501435926847308	0.3104746301	0.1346723555	0.6299907441
145	20	0.494234417774780	0.2716639188	0.1412118190	0.6120237158
150	20	0.488075300138968	0.2327489383	0.1467284075	0.5968670135
155	20	0.482929599871291	0.1938218852	0.1512850920	0.5843476258
160	20	0.478765930542926	0.1549361129	0.1549361129	0.5743165283
165	20	0.475558867189772	0.1161166784	0.1577277179	0.5666466567
170	20	0.473285124175851	0.07736529767	0.1596957278	0.5612395939
175	20	0.471926557229535	0.03866778367	0.1608656678	0.5580252102
180	20	0.471474766296034	5.425691819e-17	0.1612538671	0.5569586412

135	15	0.508147871098413	0.3530340010	0.09459517546	0.6469659990
140	15	0.499512155922820	0.3145228317	0.1004363911	0.6251662854
145	15	0.491952444771271	0.2756114431	0.1054685355	0.6063860669
150	15	0.485451907199797	0.2364434650	0.1097337940	0.5904679054
155	15	0.479993198841277	0.1971245945	0.1132715172	0.5772649428
160	15	0.475558867189772	0.1577277179	0.1161166784	0.5666466567
165	15	0.472129972043185	0.1182982111	0.1182982111	0.5585050657
170	15	0.469691442644631	0.07886162437	0.1198393376	0.5527535035
175	15	0.468233384067815	0.03942872044	0.1207572887	0.5493276632
180	15	0.467748324575105	5.533078992e-17	0.1210621747	0.5481898131

135	10	0.507063306226746	0.3557930588	0.06273591582	0.6442069412
140	10	0.498170987578035	0.3173363125	0.06668451727	0.6218133096
145	10	0.490353408280941	0.2783664378	0.07009852197	0.6024515268
150	10	0.483605637152143	0.2390319568	0.07300210198	0.5859845063
155	10	0.477918621105739	0.1994464484	0.07541756916	0.5722857112
160	10	0.473285124175851	0.1596957278	0.07736529767	0.5612395939
165	10	0.469691442644631	0.1198393376	0.07886162437	0.5527535035
170	10	0.467133013299320	0.07992079213	0.07992079213	0.5467466646
175	10	0.465602797893844	0.03996803456	0.08055264048	0.5431632745
180	10	0.465093697773917	5.609223765e-17	0.08076267306	0.5419721206

135	5	0.506425258497933	0.3574134531	0.03126962534	0.6425865469
140	5	0.497379309432380	0.3189936470	0.03325984997	0.6198381752
145	5	0.489406268160322	0.2799937875	0.03498431669	0.6001274305
150	5	0.482508392156035	0.2405646794	0.03645392307	0.5833297527
155	5	0.476682836839431	0.2008245523	0.03767871143	0.5693303577
160	5	0.471926557229534	0.1608656678	0.03866778367	0.5580252102
165	5	0.468233384067815	0.1207572887	0.03942872044	0.5493276632
170	5	0.465602797893844	0.08055264048	0.03996803456	0.5431632745
175	5	0.464029288618649	0.04029008258	0.04029008258	0.5394822488
180	5	0.463505739958946	5.654708142e-17	0.04039718703	0.5382580393

135	0	0.506214664342921	0.3579478219	4.383596543e-17	0.6420521781
140	0	0.497117576834947	0.3195410189	4.663628388e-17	0.6191858427
145	0	0.489092614621660	0.2805319989	4.906439817e-17	0.5993587849
150	0	0.482144440071060	0.2410722200	5.113504546e-17	0.5824506666
155	0	0.476272443546792	0.2012814322	5.286180859e-17	0.5683505757
160	0	0.471474766296033	0.1612538671	5.425691819e-17	0.5569586412
165	0	0.467748324575104	0.1210621747	5.533078992e-17	0.5481898131
170	0	0.465093697773917	0.08076267306	5.609223765e-17	0.5419721206
175	0	0.463505739958946	0.04039718703	5.654708142e-17	0.5382580393
180	0	0.462977064252641	5.669833798e-17	5.669833798e-17	0.5370229357