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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	0.862025124483759	0.000000000	0.000000000	1.862025124
5	0	0.861037553933779	0.07504436755	0.000000000	1.857761046
10	0	0.858087090090071	0.1490052595	0.000000000	1.845050819
15	0	0.853210151696092	0.2208270367	0.000000000	1.824137721
20	0	0.846467112354593	0.2895088031	0.000000000	1.795418899
25	0	0.837941110551583	0.3541292156	0.000000000	1.759432554
30	0	0.827736710560139	0.4138683553	0.000000000	1.716841019
35	0	0.815978279654347	0.4680259138	0.000000000	1.668410276
40	0	0.802807894979733	0.5160349679	0.000000000	1.614986527
45	0	0.788382836575850	0.5574708499	0.000000000	1.557470850

0	5	0.861037553933781	0.000000000	0.07504436755	1.857761046
5	5	0.860061951410864	0.07467624975	0.07467624975	1.853553440
10	5	0.857146658802087	0.1482925510	0.07357874016	1.841008848
15	5	0.852326141932650	0.2198147281	0.07177217669	1.820359733
20	5	0.845657521365339	0.2882593908	0.06928981130	1.791986167
25	5	0.837219778702809	0.3527173086	0.06617683710	1.756404709
30	5	0.827112694996962	0.4123743827	0.06248907385	1.714253382
35	5	0.815455534260679	0.4665295449	0.05829135528	1.666273240
40	5	0.802385388289451	0.5146089442	0.05365566506	1.613287058
45	5	0.788054984446861	0.5561757605	0.04865907397	1.556175760

0	10	0.858087090090072	0.000000000	0.1490052595	1.845050819
5	10	0.857146658802088	0.07357874016	0.1482925510	1.841008848
10	10	0.854334938718581	0.1461663447	0.1461663447	1.828950533
15	10	0.849680694777138	0.2167916261	0.1426621686	1.809077363
20	10	0.843231799429751	0.2845230265	0.1378384315	1.781720591
25	10	0.835055212498366	0.3484877738	0.1317752259	1.747334443
30	10	0.825236827809831	0.4078901456	0.1245726237	1.706486456
35	10	0.813881035191201	0.4620283263	0.1163484472	1.659844833
40	10	0.801110148021788	0.5103094050	0.1072355573	1.608163067
45	10	0.787063318796798	0.5522617437	0.09737864583	1.552261744

0	15	0.853210151696094	0.000000000	0.2208270367	1.824137721
5	15	0.852326141932652	0.07177217669	0.2198147281	1.820359733
10	15	0.849680694777141	0.1426621686	0.2167916261	1.809077363
15	15	0.845293859545743	0.2117992023	0.2117992023	1.790445384
20	15	0.839199490036563	0.2783357215	0.2049064038	1.764721110
25	15	0.831446147780649	0.3414600147	0.1962093772	1.732263365
30	15	0.822098076285892	0.4004098344	0.1858308509	1.693530177
35	15	0.811236225544820	0.4544869920	0.1739190395	1.649074692
40	15	0.798959087297516	0.5030725910	0.1606458750	1.599538568
45	15	0.785383383482410	0.5456424280	0.1462044479	1.545642428

0	20	0.846467112354598	0.000000000	0.2895088031	1.795418899
5	20	0.845657521365343	0.06928981130	0.2882593908	1.791986167
10	20	0.843231799429755	0.1378384315	0.2845230265	1.781720591
15	20	0.839199490036564	0.2049064038	0.2783357215	1.764721110
20	20	0.833577503653489	0.2697586649	0.2697586649	1.741155841
25	20	0.826391808215731	0.3316690844	0.2588798880	1.711266647
30	20	0.817679464247090	0.3899275933	0.2458161796	1.675374403
35	20	0.807491227353427	0.4438505765	0.2307150230	1.633884316
40	20	0.795894091856942	0.4927946136	0.2137559883	1.587289751
45	20	0.782974017098162	0.5361736218	0.1951512387	1.536173622

0	25	0.837941110551588	0.000000000	0.3541292156	1.759432554
5	25	0.837219778702813	0.06617683710	0.3527173086	1.756404709
10	25	0.835055212498370	0.1317752259	0.3484877738	1.747334443
15	25	0.831446147780651	0.1962093772	0.3414600147	1.732263365
20	25	0.826391808215731	0.2588798880	0.3316690844	1.711266647
25	25	0.819893990556779	0.3191696614	0.3191696614	1.684461548
30	25	0.811959994578463	0.3764431908	0.3040413283	1.652018733
35	25	0.802606233899323	0.4300503155	0.2863947395	1.614175501
40	25	0.791862533035680	0.4793355335	0.2663781770	1.571249844
45	25	0.779776825986538	0.5236536178	0.2441836922	1.523653618

0	30	0.827736710560147	0.000000000	0.4138683553	1.716841019
5	30	0.827112694996968	0.06248907385	0.4123743827	1.714253382
10	30	0.825236827809835	0.1245726237	0.4078901456	1.706486456
15	30	0.822098076285893	0.1858308509	0.4004098344	1.693530177
20	30	0.817679464247089	0.2458161796	0.3899275933	1.675374403
25	30	0.811959994578462	0.3040413283	0.3764431908	1.652018733
30	30	0.804917733681407	0.3599701538	0.3599701538	1.623486596
35	30	0.796533979285089	0.4130127395	0.3405461999	1.589843321
40	30	0.786798518639218	0.4625264984	0.3182456391	1.551217616
45	30	0.775715956473743	0.5078252983	0.2931930727	1.507825298

0	35	0.815978279654357	0.000000000	0.4680259138	1.668410276
5	35	0.815455534260688	0.05829135528	0.4665295449	1.666273240
10	35	0.813881035191208	0.1163484472	0.4620283263	1.659844833
15	35	0.811236225544824	0.1739190395	0.4544869920	1.649074692
20	35	0.807491227353428	0.2307150230	0.4438505765	1.633884316
25	35	0.802606233899323	0.2863947395	0.4300503155	1.614175501
30	35	0.796533979285089	0.3405461999	0.4130127395	1.589843321
35	35	0.789223473538739	0.3926724665	0.3926724665	1.560794400
40	35	0.780625211356407	0.4421812319	0.3689891168	1.526971072
45	35	0.770698262192004	0.4883816810	0.3419685346	1.488381681

0	40	0.802807894979739	0.000000000	0.5160349679	1.614986527
5	40	0.802385388289456	0.05365566506	0.5146089442	1.613287058
10	40	0.801110148021792	0.1072355573	0.5103094050	1.608163067
15	40	0.798959087297519	0.1606458750	0.5030725910	1.599538568
20	40	0.795894091856944	0.2137559883	0.4927946136	1.587289751
25	40	0.791862533035681	0.2663781770	0.4793355335	1.571249844
30	40	0.786798518639220	0.3182456391	0.4625264984	1.551217616
35	40	0.780625211356409	0.3689891168	0.4421812319	1.526971072
40	40	0.773258835008255	0.4181135812	0.4181135812	1.498288363
45	40	0.764614948901153	0.4649779504	0.3901628267	1.464977950

0	45	0.788382836575850	0.000000000	0.5574708499	1.557470850
5	45	0.788054984446859	0.04865907397	0.5561757605	1.556175760
10	45	0.787063318796797	0.09737864583	0.5522617437	1.552261744
15	45	0.785383383482411	0.1462044479	0.5456424280	1.545642428
20	45	0.782974017098164	0.1951512387	0.5361736218	1.536173622
25	45	0.779776825986542	0.2441836922	0.5236536178	1.523653618
30	45	0.775715956473748	0.2931930727	0.5078252983	1.507825298
35	45	0.770698262192011	0.3419685346	0.4883816810	1.488381681
40	45	0.764614948901158	0.3901628267	0.4649779504	1.464977950
45	45	0.757345376659992	0.4372535571	0.4372535571	1.437253557


### +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	0.788382836672090	0.5574708500	0.000000000	1.557470850
45	5	0.788054984665080	0.5561757606	0.04865907398	1.556175761
45	10	0.787063320153348	0.5522617447	0.09737864600	1.552261745
45	15	0.785383389692171	0.5456424323	0.1462044491	1.545642432
45	20	0.782974033848665	0.5361736333	0.1951512429	1.536173633
45	25	0.779776862427503	0.5236536422	0.2441837036	1.523653642
45	30	0.775716023423611	0.5078253422	0.2931930980	1.507825342
45	35	0.770698365030323	0.4883817462	0.3419685802	1.488381746
45	40	0.764615077402981	0.4649780286	0.3901628923	1.464978029
45	45	0.757345489901893	0.4372536225	0.4372536225	1.437253622

50	0	0.772872903476349	0.5920549929	0.000000000	1.496793126
50	5	0.772528755093656	0.5904667437	0.05165914627	1.495460427
50	10	0.771489939501270	0.5856768744	0.1032706349	1.491441249
50	15	0.769737393320454	0.5776106207	0.1547702993	1.484672859
50	20	0.767239513579570	0.5661455558	0.2060601306	1.475052527
50	25	0.763952587412945	0.5511156018	0.2569894257	1.462440898
50	30	0.759821739072531	0.5323181447	0.3073340242	1.446667959
50	35	0.754782629470956	0.5095257050	0.3567737396	1.427542831
50	40	0.748764573037737	0.4825042485	0.4048691369	1.404869137
50	45	0.741695501533814	0.4510401669	0.4510401669	1.378467638

55	0	0.756457475142234	0.6196536872	0.000000000	1.433886183
55	5	0.756112559893544	0.6177866771	0.05404933073	1.432578888
55	10	0.755073470669467	0.6121672662	0.1079416057	1.428644134
55	15	0.753327340067508	0.6027414650	0.1615040888	1.422044117
55	20	0.750853220444517	0.5894232210	0.2145325078	1.412718583
55	25	0.747623010411465	0.5721008853	0.2667750240	1.400589352
55	30	0.743602949753236	0.5506472348	0.3179163292	1.385567345
55	35	0.738755849560976	0.5249338844	0.3675626629	1.367562663
55	40	0.733044351381838	0.4948510013	0.4152292927	1.346498401
55	45	0.726435429309696	0.4603328871	0.4603328871	1.322328558

60	0	0.739322124030147	0.6402717410	0.000000000	1.369661062
60	5	0.738992560502720	0.6381572175	0.05583152208	1.368440241
60	10	0.738001526250587	0.6318041867	0.1114041246	1.364772317
60	15	0.736342131402118	0.6211856024	0.1664461805	1.358641675
60	20	0.734003459185745	0.6062609734	0.2206609485	1.350024936
60	25	0.730971641439315	0.5869836031	0.2737149493	1.338895141
60	30	0.727231244658009	0.5633108999	0.3252276997	1.325227700
60	35	0.722767322231414	0.5352181934	0.3747638136	1.309008368
60	40	0.717568032764610	0.5027159191	0.4218287423	1.290243171
60	45	0.711627906937500	0.4658698215	0.4658698215	1.268970067

65	0	0.721655307528423	0.6540418248	0.000000000	1.304984712
65	5	0.721356623999579	0.6517255819	0.05701860015	1.303904630
65	10	0.720459847750266	0.6447770767	0.1136915952	1.300664489
65	15	0.718962946746104	0.6331982268	0.1696649535	1.295265182
65	20	0.716863171292203	0.6169965130	0.2245683654	1.287710199
65	25	0.714157652011017	0.5961910410	0.2780084482	1.278008448
65	30	0.710844638096699	0.5708212512	0.3295638030	1.266178321
65	35	0.706924852116652	0.5409575790	0.3787825747	1.252252662
65	40	0.702403207535543	0.5067138626	0.4251834153	1.236284555
65	45	0.697290752622278	0.4682606780	0.4682606780	1.218353540

70	0	0.703644927516049	0.6612099460	0.000000000	1.240660739
70	5	0.703390878019585	0.6587487623	0.05763304882	1.239764941
70	10	0.702629139259838	0.6513744691	0.1148548935	1.237080918
70	15	0.701360954880565	0.6391156503	0.1712505224	1.232619073
70	20	0.699588837450198	0.6220229680	0.2263978454	1.226397845
70	25	0.697316929468017	0.6001732703	0.2798653922	1.218445206
70	30	0.694551698255692	0.5736752101	0.3312115370	1.208800701
70	35	0.691302658451749	0.5426757567	0.3799856557	1.197517822
70	40	0.687583264131206	0.5073672593	0.4257316801	1.184666580
70	45	0.683411823824721	0.4679943201	0.4679943201	1.170336002

75	0	0.685474965522597	0.6621179725	0.000000000	1.177413976
75	5	0.685276645467386	0.6595754120	0.05770537129	1.176732699
75	10	0.684682618358991	0.6519639800	0.1149588401	1.174693222
75	15	0.683695621082633	0.6393327498	0.1713086940	1.171308694
75	20	0.682320479427533	0.6217650040	0.2263039542	1.166601431
75	25	0.680564194800457	0.5993800422	0.2794955038	1.160603398
75	30	0.678436251136606	0.5723356214	0.3304381251	1.153356868
75	35	0.675948858441471	0.5408305042	0.3786935960	1.144915097
75	40	0.673117268470362	0.5051069190	0.4238350295	1.135342991
75	45	0.669960079746154	0.4654524812	0.4654524812	1.124717616

80	0	0.667322241034248	0.6571841167	0.000000000	1.115879291
80	5	0.667187381303025	0.6546260029	0.05727235411	1.115428227
80	10	0.666783689130180	0.6469718956	0.1140786010	1.114078601
80	15	0.666113817164706	0.6342825182	0.1699554885	1.111841121
80	20	0.665182381878733	0.6166593394	0.2244456442	1.108733679
80	25	0.663995756462834	0.5942444178	0.2771007229	1.104781324
80	30	0.662562286267465	0.5672205429	0.3274849332	1.100016286
80	35	0.660892252328249	0.5358109099	0.3751788382	1.094477920
80	40	0.658997891704582	0.5002784945	0.4197835002	1.088212596
80	45	0.656893454477813	0.4609249548	0.4609249548	1.081273506

85	0	0.649353600708704	0.6468826142	0.000000000	1.056594895
85	5	0.649286131280832	0.6443726644	0.05637530322	1.056375303
85	10	0.649084219080222	0.6368636755	0.1122962490	1.055718352
85	15	0.648749453574723	0.6244181688	0.1673123441	1.054629511
85	20	0.648284376830689	0.6071397060	0.2209807810	1.053117841
85	25	0.647692592722342	0.5851721851	0.2728702713	1.051195932
85	30	0.646978678217139	0.5586986055	0.3225647903	1.048879794
85	35	0.646148188652675	0.5279395735	0.3696672691	1.046188728
85	40	0.645207620575528	0.4931514073	0.4138031640	1.043145158
85	45	0.644164352267153	0.4546238594	0.4546238594	1.039774434

90	0	0.631723370380529	0.6317233704	0.000000000	1.000000000
90	5	0.631723387728179	0.6293194895	0.05505832107	1.000000000
90	10	0.631723428577018	0.6221261302	0.1096976222	1.000000000
90	15	0.631723455713191	0.6101980009	0.1635020616	1.000000000
90	20	0.631723499656659	0.5936259110	0.2160621619	1.000000000
90	25	0.631723525842056	0.5725359507	0.2669778984	1.000000000
90	30	0.631723544708014	0.5470886379	0.3158617724	1.000000000
90	35	0.631723561090520	0.5174776465	0.3623417489	1.000000000
90	40	0.631723576974827	0.4839283357	0.4060640880	1.000000000
90	45	0.631723570673163	0.4466960207	0.4466960207	1.000000000

95	0	0.614571834607568	0.6122332032	0.000000000	0.9464365353
95	5	0.614635716976007	0.6099844668	0.05336672577	0.9466332742
95	10	0.614826962034991	0.6032513922	0.1063694966	0.9472223419
95	15	0.615144310515163	0.5920733834	0.1586455849	0.9482002910
95	20	0.615585677085299	0.5765162949	0.2098347709	0.9495613599
95	25	0.616148188172032	0.5566726958	0.2595807411	0.9512974498
95	30	0.616828126384020	0.5326620887	0.3075326003	0.9533981058
95	35	0.617620951055867	0.5046312088	0.3533465764	0.9558504900
95	40	0.618521312337957	0.4727542668	0.3966879309	0.9586393610
95	45	0.619523069000361	0.4372330876	0.4372330876	0.9617470615

100	0	0.598023539185515	0.5889382179	0.000000000	0.8961543022
100	5	0.598144447343867	0.5868829653	0.05134560628	0.8965166987
100	10	0.598506668264731	0.5807235540	0.1023972309	0.8976027691
100	15	0.599108626081830	0.5704792758	0.1528594613	0.8994091117
100	20	0.599947623733871	0.5561832595	0.2024341513	0.9019298851
100	25	0.601019846403168	0.5378839929	0.2508194251	0.9051565396
100	30	0.602320197258834	0.5156472024	0.2977090511	0.9090774857
100	35	0.603842241061100	0.4895582593	0.3427923836	0.9136776703
100	40	0.605578060671121	0.4597248099	0.3857549184	0.9189381123
100	45	0.607518114661439	0.4262795703	0.4262795703	0.9248354104

105	0	0.582186690224491	0.5623491598	0.000000000	0.8493189968
105	5	0.582355201363810	0.5605140265	0.04903862307	0.8498107192
105	10	0.582860540320210	0.5550076305	0.09786281975	0.8512861536
105	15	0.583702059014909	0.5458274574	0.1462540264	0.8537459736
105	20	0.584878520925075	0.5329709526	0.1939855625	0.8571908637
105	25	0.586387920489463	0.5164380072	0.2408189977	0.8616208530
105	30	0.588227181516856	0.4962343461	0.2865010333	0.8670344077
105	35	0.590391791966969	0.4723758115	0.3307611041	0.8734272828
105	40	0.592875383091921	0.4448934415	0.3733099227	0.8807911616
105	45	0.595669306244033	0.4138392196	0.4138392196	0.8891121153

110	0	0.567153120802151	0.5329496025	0.000000000	0.8060222083
110	5	0.567357989529795	0.5313494745	0.04648705539	0.8066046073
110	10	0.567973156533262	0.5265412330	0.09284342583	0.8083546641
110	15	0.569000227444902	0.5185018468	0.1389321511	0.8112807613
110	20	0.570441624615613	0.5071947599	0.1846037956	0.8153962044
110	25	0.572300204332658	0.4925727037	0.2296904239	0.8207181977
110	30	0.574578742651719	0.4745817795	0.2739999182	0.8272663585
110	35	0.577279213540304	0.4531668296	0.3173108302	0.8350607629
110	40	0.580401941405291	0.4282782285	0.3593681036	0.8441194728
110	45	0.583944604328840	0.3998800555	0.3998800555	0.8544555625

115	0	0.552998720661849	0.5011870468	0.000000000	0.7662926419
115	5	0.553227715217217	0.4998258041	0.04372909160	0.7669273998
115	10	0.553916383287520	0.4957286481	0.08741033578	0.7688379350
115	15	0.555069695365731	0.4888557171	0.1309884946	0.7720428354
115	20	0.556695616498430	0.4791420008	0.1743934263	0.7765724157
115	25	0.558804642053156	0.4664996872	0.2175323767	0.7824676233
115	30	0.561409081976451	0.4508217653	0.2602820675	0.7897783584
115	35	0.564522030243009	0.4319871764	0.3024806773	0.7985610714
115	40	0.568156075128793	0.4098679452	0.3439200417	0.8088754383
115	45	0.572321721516147	0.3843386082	0.3843386082	0.8207799637

120	0	0.539784321692903	0.4674669352	0.000000000	0.7301078392
120	5	0.540025048090081	0.4663387705	0.04079935578	0.7307591853
120	10	0.540750246479170	0.4629370774	0.08162829712	0.7327231537
120	15	0.541968906705169	0.4572104018	0.1225091579	0.7360294514
120	20	0.543695758414208	0.4490735236	0.1634493956	0.7407272803
120	25	0.545950863526247	0.4384085330	0.2044332563	0.7468847155
120	30	0.548758897036148	0.4250668139	0.2454124394	0.7545875606
120	35	0.552148141401145	0.4088725675	0.2862956539	0.7639373131
120	40	0.556148838167919	0.3896283859	0.3269370349	0.7750479465
120	45	0.560791136277063	0.3671239759	0.3671239759	0.7880408737

125	0	0.527557113335235	0.4321494879	0.000000000	0.6974056710
125	5	0.527797765631195	0.4312405918	0.03772866304	0.6980420868
125	10	0.528524083760424	0.4284949161	0.07555521481	0.6999646296
125	15	0.529749151907049	0.4238552923	0.1135716833	0.7032133293
125	20	0.531494743778788	0.4172258109	0.1518577761	0.7078553420
125	25	0.533791182747734	0.4084711197	0.1904732113	0.7139854428
125	30	0.536676979662552	0.3974159798	0.2294482229	0.7217263352
125	35	0.540198220146770	0.3838458270	0.2687717416	0.7312282584
125	40	0.544407167806139	0.3675090485	0.3083767071	0.7426673939
125	45	0.549360052747729	0.3481224744	0.3481224744	0.7562420192

130	0	0.516352069872151	0.3955486338	0.000000000	0.6680952873
130	5	0.516582092249684	0.3948390838	0.03454394375	0.6686906704
130	10	0.517277664865280	0.3926915316	0.06924211212	0.6704926807
130	15	0.518455405495552	0.3890487212	0.1042452907	0.6735493615
130	20	0.520143335724350	0.3838134411	0.1396966681	0.6779422831
130	25	0.522381283068654	0.3768459980	0.1757261748	0.6837886621
130	30	0.525221289550045	0.3679610730	0.2124424246	0.6912439993
130	35	0.528727804847011	0.3569244932	0.2499212207	0.7005047894
130	40	0.532977355276476	0.3434508623	0.2881894919	0.7118105081
130	45	0.538057157237818	0.3272035350	0.3272035350	0.7254436345

135	0	0.506193826667310	0.3579330874	0.000000000	0.6420669126
135	5	0.506404413576279	0.3573987417	0.03126833826	0.6426012583
135	10	0.507042449652711	0.3557784243	0.06273333536	0.6442215757
135	15	0.508126994689013	0.3530194972	0.09459128918	0.6469805028
135	20	0.509690588373249	0.3490315679	0.1270371015	0.6509684321
135	25	0.511780371653194	0.3436824925	0.1602617782	0.6563175075
135	30	0.514459538811270	0.3367928255	0.1944474285	0.6632071745
135	35	0.517808937344630	0.3281289341	0.2297583531	0.6718710659
135	40	0.521928616823927	0.3173954405	0.2663263971	0.6826045595
135	45	0.526938524534181	0.3042280990	0.3042280990	0.6957719010


### +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	0.757345489901893	0.4372536225	0.4372536225	1.437253622
40	45	0.764615077402979	0.3901628923	0.4649780286	1.464978029
35	45	0.770698365030320	0.3419685802	0.4883817462	1.488381746
30	45	0.775716023423607	0.2931930980	0.5078253422	1.507825342
25	45	0.779776862427500	0.2441837036	0.5236536422	1.523653642
20	45	0.782974033848663	0.1951512429	0.5361736333	1.536173633
15	45	0.785383389692172	0.1462044491	0.5456424323	1.545642432
10	45	0.787063320153352	0.09737864600	0.5522617447	1.552261745
5	45	0.788054984665086	0.04865907398	0.5561757606	1.556175761
0	45	0.788382836672097	0.000000000	0.5574708500	1.557470850

45	50	0.741695501533812	0.4510401669	0.4510401669	1.378467638
40	50	0.748764573037738	0.4048691369	0.4825042485	1.404869137
35	50	0.754782629470957	0.3567737396	0.5095257050	1.427542831
30	50	0.759821739072532	0.3073340242	0.5323181447	1.446667959
25	50	0.763952587412946	0.2569894257	0.5511156018	1.462440898
20	50	0.767239513579570	0.2060601306	0.5661455558	1.475052527
15	50	0.769737393320453	0.1547702993	0.5776106207	1.484672859
10	50	0.771489939501267	0.1032706349	0.5856768744	1.491441249
5	50	0.772528755093652	0.05165914627	0.5904667437	1.495460427
0	50	0.772872903476346	0.000000000	0.5920549929	1.496793126

45	55	0.726435429309696	0.4603328871	0.4603328871	1.322328558
40	55	0.733044351381837	0.4152292927	0.4948510013	1.346498401
35	55	0.738755849560976	0.3675626629	0.5249338844	1.367562663
30	55	0.743602949753237	0.3179163292	0.5506472348	1.385567345
25	55	0.747623010411466	0.2667750240	0.5721008853	1.400589352
20	55	0.750853220444517	0.2145325078	0.5894232210	1.412718583
15	55	0.753327340067506	0.1615040888	0.6027414650	1.422044117
10	55	0.755073470669461	0.1079416057	0.6121672662	1.428644134
5	55	0.756112559893536	0.05404933073	0.6177866771	1.432578888
0	55	0.756457475142227	0.000000000	0.6196536872	1.433886183

45	60	0.711627906937502	0.4658698215	0.4658698215	1.268970067
40	60	0.717568032764610	0.4218287423	0.5027159191	1.290243171
35	60	0.722767322231412	0.3747638136	0.5352181934	1.309008368
30	60	0.727231244658009	0.3252276997	0.5633108999	1.325227700
25	60	0.730971641439316	0.2737149493	0.5869836031	1.338895141
20	60	0.734003459185744	0.2206609485	0.6062609734	1.350024936
15	60	0.736342131402113	0.1664461805	0.6211856024	1.358641675
10	60	0.738001526250578	0.1114041246	0.6318041867	1.364772317
5	60	0.738992560502708	0.05583152208	0.6381572175	1.368440241
0	60	0.739322124030137	0.000000000	0.6402717410	1.369661062

45	65	0.697290752622281	0.4682606780	0.4682606780	1.218353540
40	65	0.702403207535543	0.4251834153	0.5067138626	1.236284555
35	65	0.706924852116650	0.3787825747	0.5409575790	1.252252662
30	65	0.710844638096698	0.3295638030	0.5708212512	1.266178321
25	65	0.714157652011017	0.2780084482	0.5961910410	1.278008448
20	65	0.716863171292202	0.2245683654	0.6169965130	1.287710199
15	65	0.718962946746096	0.1696649535	0.6331982268	1.295265182
10	65	0.720459847750255	0.1136915952	0.6447770767	1.300664489
5	65	0.721356623999567	0.05701860015	0.6517255819	1.303904630
0	65	0.721655307528413	0.000000000	0.6540418248	1.304984712

45	70	0.683411823824724	0.4679943201	0.4679943201	1.170336002
40	70	0.687583264131207	0.4257316801	0.5073672593	1.184666580
35	70	0.691302658451749	0.3799856557	0.5426757567	1.197517822
30	70	0.694551698255693	0.3312115370	0.5736752101	1.208800701
25	70	0.697316929468017	0.2798653922	0.6001732703	1.218445206
20	70	0.699588837450195	0.2263978454	0.6220229680	1.226397845
15	70	0.701360954880557	0.1712505224	0.6391156503	1.232619073
10	70	0.702629139259828	0.1148548935	0.6513744691	1.237080918
5	70	0.703390878019575	0.05763304882	0.6587487623	1.239764941
0	70	0.703644927516040	0.000000000	0.6612099460	1.240660739

45	75	0.669960079746157	0.4654524812	0.4654524812	1.124717616
40	75	0.673117268470363	0.4238350295	0.5051069190	1.135342991
35	75	0.675948858441472	0.3786935960	0.5408305042	1.144915097
30	75	0.678436251136607	0.3304381251	0.5723356214	1.153356868
25	75	0.680564194800459	0.2794955038	0.5993800422	1.160603398
20	75	0.682320479427531	0.2263039542	0.6217650040	1.166601431
15	75	0.683695621082627	0.1713086940	0.6393327498	1.171308694
10	75	0.684682618358984	0.1149588401	0.6519639800	1.174693222
5	75	0.685276645467379	0.05770537129	0.6595754120	1.176732699
0	75	0.685474965522592	0.000000000	0.6621179725	1.177413976

45	80	0.656893454477816	0.4609249548	0.4609249548	1.081273506
40	80	0.658997891704583	0.4197835002	0.5002784945	1.088212596
35	80	0.660892252328251	0.3751788382	0.5358109099	1.094477920
30	80	0.662562286267467	0.3274849332	0.5672205429	1.100016286
25	80	0.663995756462836	0.2771007229	0.5942444178	1.104781324
20	80	0.665182381878732	0.2244456442	0.6166593394	1.108733679
15	80	0.666113817164703	0.1699554885	0.6342825182	1.111841121
10	80	0.666783689130178	0.1140786010	0.6469718956	1.114078601
5	80	0.667187381303022	0.05727235411	0.6546260029	1.115428227
0	80	0.667322241034246	0.000000000	0.6571841167	1.115879291

45	85	0.644164352267153	0.4546238594	0.4546238594	1.039774434
40	85	0.645207620575528	0.4138031640	0.4931514073	1.043145158
35	85	0.646148188652676	0.3696672691	0.5279395735	1.046188728
30	85	0.646978678217141	0.3225647903	0.5586986055	1.048879794
25	85	0.647692592722344	0.2728702713	0.5851721851	1.051195932
20	85	0.648284376830689	0.2209807810	0.6071397060	1.053117841
15	85	0.648749453574723	0.1673123441	0.6244181688	1.054629511
10	85	0.649084219080224	0.1122962490	0.6368636755	1.055718352
5	85	0.649286131280835	0.05637530322	0.6443726644	1.056375303
0	85	0.649353600708707	0.000000000	0.6468826142	1.056594895

45	90	0.631723570673161	0.4466960207	0.4466960207	1.000000000
40	90	0.631723576974826	0.4060640880	0.4839283357	1.000000000
35	90	0.631723561090520	0.3623417489	0.5174776465	1.000000000
30	90	0.631723544708016	0.3158617724	0.5470886379	1.000000000
25	90	0.631723525842058	0.2669778984	0.5725359507	1.000000000
20	90	0.631723499656662	0.2160621619	0.5936259110	1.000000000
15	90	0.631723455713195	0.1635020616	0.6101980009	1.000000000
10	90	0.631723428577023	0.1096976222	0.6221261302	1.000000000
5	90	0.631723387728186	0.05505832107	0.6293194895	1.000000000
0	90	0.631723370380536	0.000000000	0.6317233704	1.000000000

45	95	0.619523069000357	0.4372330876	0.4372330876	0.9617470615
40	95	0.618521312337956	0.3966879309	0.4727542668	0.9586393610
35	95	0.617620951055868	0.3533465764	0.5046312088	0.9558504900
30	95	0.616828126384021	0.3075326003	0.5326620887	0.9533981058
25	95	0.616148188172034	0.2595807411	0.5566726958	0.9512974498
20	95	0.615585677085303	0.2098347709	0.5765162949	0.9495613599
15	95	0.615144310515170	0.1586455849	0.5920733834	0.9482002910
10	95	0.614826962034999	0.1063694966	0.6032513922	0.9472223419
5	95	0.614635716976018	0.05336672577	0.6099844668	0.9466332742
0	95	0.614571834607579	0.000000000	0.6122332032	0.9464365353

45	100	0.607518114661438	0.4262795703	0.4262795703	0.9248354104
40	100	0.605578060671121	0.3857549184	0.4597248099	0.9189381123
35	100	0.603842241061101	0.3427923836	0.4895582593	0.9136776703
30	100	0.602320197258836	0.2977090511	0.5156472024	0.9090774857
25	100	0.601019846403172	0.2508194251	0.5378839929	0.9051565396
20	100	0.599947623733878	0.2024341513	0.5561832595	0.9019298851
15	100	0.599108626081838	0.1528594613	0.5704792758	0.8994091117
10	100	0.598506668264741	0.1023972309	0.5807235540	0.8976027691
5	100	0.598144447343879	0.05134560628	0.5868829653	0.8965166987
0	100	0.598023539185528	0.000000000	0.5889382179	0.8961543022

45	105	0.595669306244034	0.4138392196	0.4138392196	0.8891121153
40	105	0.592875383091922	0.3733099227	0.4448934415	0.8807911616
35	105	0.590391791966971	0.3307611041	0.4723758115	0.8734272828
30	105	0.588227181516859	0.2865010333	0.4962343461	0.8670344077
25	105	0.586387920489469	0.2408189977	0.5164380072	0.8616208530
20	105	0.584878520925083	0.1939855625	0.5329709526	0.8571908637
15	105	0.583702059014918	0.1462540264	0.5458274574	0.8537459736
10	105	0.582860540320220	0.09786281975	0.5550076305	0.8512861536
5	105	0.582355201363822	0.04903862307	0.5605140265	0.8498107192
0	105	0.582186690224504	0.000000000	0.5623491598	0.8493189968

45	110	0.583944604328843	0.3998800555	0.3998800555	0.8544555625
40	110	0.580401941405292	0.3593681036	0.4282782285	0.8441194728
35	110	0.577279213540306	0.3173108302	0.4531668296	0.8350607629
30	110	0.574578742651723	0.2739999182	0.4745817795	0.8272663585
25	110	0.572300204332664	0.2296904239	0.4925727037	0.8207181977
20	110	0.570441624615621	0.1846037956	0.5071947599	0.8153962044
15	110	0.569000227444911	0.1389321511	0.5185018468	0.8112807613
10	110	0.567973156533270	0.09284342583	0.5265412330	0.8083546641
5	110	0.567357989529805	0.04648705539	0.5313494745	0.8066046073
0	110	0.567153120802163	0.000000000	0.5329496025	0.8060222083

45	115	0.572321721516151	0.3843386082	0.3843386082	0.8207799637
40	115	0.568156075128794	0.3439200417	0.4098679452	0.8088754383
35	115	0.564522030243011	0.3024806773	0.4319871764	0.7985610714
30	115	0.561409081976456	0.2602820675	0.4508217653	0.7897783584
25	115	0.558804642053162	0.2175323767	0.4664996872	0.7824676233
20	115	0.556695616498436	0.1743934263	0.4791420008	0.7765724157
15	115	0.555069695365738	0.1309884946	0.4888557171	0.7720428354
10	115	0.553916383287527	0.08741033578	0.4957286481	0.7688379350
5	115	0.553227715217225	0.04372909160	0.4998258041	0.7669273998
0	115	0.552998720661857	0.000000000	0.5011870468	0.7662926419

45	120	0.560791136277067	0.3671239759	0.3671239759	0.7880408737
40	120	0.556148838167921	0.3269370349	0.3896283859	0.7750479465
35	120	0.552148141401149	0.2862956539	0.4088725675	0.7639373131
30	120	0.548758897036153	0.2454124394	0.4250668139	0.7545875606
25	120	0.545950863526252	0.2044332563	0.4384085330	0.7468847155
20	120	0.543695758414212	0.1634493956	0.4490735236	0.7407272803
15	120	0.541968906705172	0.1225091579	0.4572104018	0.7360294514
10	120	0.540750246479174	0.08162829712	0.4629370774	0.7327231537
5	120	0.540025048090085	0.04079935578	0.4663387705	0.7307591853
0	120	0.539784321692909	0.000000000	0.4674669352	0.7301078392

45	125	0.549360052747733	0.3481224744	0.3481224744	0.7562420192
40	125	0.544407167806141	0.3083767071	0.3675090485	0.7426673939
35	125	0.540198220146774	0.2687717416	0.3838458270	0.7312282584
30	125	0.536676979662557	0.2294482229	0.3974159798	0.7217263352
25	125	0.533791182747738	0.1904732113	0.4084711197	0.7139854428
20	125	0.531494743778791	0.1518577761	0.4172258109	0.7078553420
15	125	0.529749151907050	0.1135716833	0.4238552923	0.7032133293
10	125	0.528524083760425	0.07555521481	0.4284949161	0.6999646296
5	125	0.527797765631197	0.03772866304	0.4312405918	0.6980420868
0	125	0.527557113335238	0.000000000	0.4321494879	0.6974056710

45	130	0.538057157237820	0.3272035350	0.3272035350	0.7254436345
40	130	0.532977355276478	0.2881894919	0.3434508623	0.7118105081
35	130	0.528727804847015	0.2499212207	0.3569244932	0.7005047894
30	130	0.525221289550049	0.2124424246	0.3679610730	0.6912439993
25	130	0.522381283068655	0.1757261748	0.3768459980	0.6837886621
20	130	0.520143335724349	0.1396966681	0.3838134411	0.6779422831
15	130	0.518455405495550	0.1042452907	0.3890487212	0.6735493615
10	130	0.517277664865279	0.06924211212	0.3926915316	0.6704926807
5	130	0.516582092249685	0.03454394375	0.3948390838	0.6686906704
0	130	0.516352069872153	0.000000000	0.3955486338	0.6680952873

45	135	0.526938524534182	0.3042280990	0.3042280990	0.6957719010
40	135	0.521928616823929	0.2663263971	0.3173954405	0.6826045595
35	135	0.517808937344632	0.2297583531	0.3281289341	0.6718710659
30	135	0.514459538811271	0.1944474285	0.3367928255	0.6632071745
25	135	0.511780371653192	0.1602617782	0.3436824925	0.6563175075
20	135	0.509690588373246	0.1270371015	0.3490315679	0.6509684321
15	135	0.508126994689010	0.09459128918	0.3530194972	0.6469805028
10	135	0.507042449652710	0.06273333536	0.3557784243	0.6442215757
5	135	0.506404413576280	0.03126833826	0.3573987417	0.6426012583
0	135	0.506193826667311	0.000000000	0.3579330874	0.6420669126


### -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	0.526938568911582	0.3042281246	0.3042281246	0.6957718754
140	45	0.521928667147709	0.2663264227	0.3173954711	0.6826045289
145	45	0.517808973757664	0.2297583693	0.3281289571	0.6718710429
150	45	0.514459562616492	0.1944474375	0.3367928411	0.6632071589
155	45	0.511780385964116	0.1602617827	0.3436825021	0.6563174979
160	45	0.509690595720472	0.1270371033	0.3490315729	0.6509684271
165	45	0.508126998140239	0.09459128982	0.3530194996	0.6469805004
170	45	0.507042451084251	0.06273333553	0.3557784253	0.6442215747
175	45	0.506404414128969	0.03126833829	0.3573987421	0.6426012579
180	45	0.506193827001393	4.383416101e-17	0.3579330877	0.6420669123

135	40	0.521928667147710	0.3173954711	0.2663264227	0.6826045289
140	40	0.516094229548637	0.2790605122	0.2790605122	0.6674286320
145	40	0.511224096070914	0.2416474961	0.2895803227	0.6548916101
150	40	0.507213009870996	0.2051584042	0.2981696735	0.6446552204
155	40	0.503969369007676	0.1695325087	0.3050661147	0.6364363618
160	40	0.501416546042879	0.1346671504	0.3104626301	0.6300050452
165	40	0.499493007924456	0.1004325411	0.3145107749	0.6251806540
170	40	0.498151837212728	0.06668195382	0.3173241136	0.6218278476
175	40	0.497360116054379	0.03325856651	0.3189813373	0.6198528453
180	40	0.497098359024171	4.663448099e-17	0.3195286660	0.6192005644

135	35	0.517808973757665	0.3281289571	0.2297583693	0.6718710429
140	35	0.511224096070914	0.2895803227	0.2416474961	0.6548916101
145	35	0.505654512228902	0.2515847680	0.2515847680	0.6406997151
150	35	0.501013678631808	0.2142009115	0.2597818013	0.6289931383
155	35	0.497223201537383	0.1774246240	0.2664207997	0.6195116659
160	35	0.494215222276497	0.1412063345	0.2716533677	0.6120387844
165	35	0.491933736345378	0.1054645247	0.2756009619	0.6064010356
170	35	0.490335151318636	0.07009591204	0.2783560735	0.6024663284
175	35	0.489388389141941	0.03498303864	0.2799835588	0.6001420386
180	35	0.489074863102277	4.906261739e-17	0.2805218171	0.5993733261

135	30	0.514459562616493	0.3367928411	0.1944474375	0.6632071589
140	30	0.507213009870996	0.2981696735	0.2051584042	0.6446552204
145	30	0.501013678631809	0.2597818013	0.2142009115	0.6289931383
150	30	0.495795298692305	0.2217263982	0.2217263982	0.6159586130
155	30	0.491495197897120	0.1840421373	0.2278683947	0.6053203629
160	30	0.488057316682975	0.1467230012	0.2327403625	0.5968818672
165	30	0.485434114687615	0.1097297721	0.2364347991	0.5904829154
170	30	0.483587808608435	0.07299941069	0.2390231446	0.5859997693
175	30	0.482491044372330	0.03645261243	0.2405560303	0.5833447334
180	30	0.482127297804469	5.113322740e-17	0.2410636489	0.5824655122

135	25	0.511780385964117	0.3436825021	0.1602617827	0.6563174979
140	25	0.503969369007677	0.3050661147	0.1695325087	0.6364363618
145	25	0.497223201537385	0.2664207997	0.1774246240	0.6195116659
150	25	0.491495197897121	0.2278683947	0.1840421373	0.6053203629
155	25	0.486739074258392	0.1894785757	0.1894785757	0.5936618832
160	25	0.482911916820503	0.1512795525	0.1938147882	0.5843628454
165	25	0.479976304310399	0.1132675303	0.1971176562	0.5772798220
170	25	0.477901870887847	0.07541492590	0.1994394581	0.5723007018
175	25	0.476666299561734	0.03767740426	0.2008175853	0.5693452986
180	25	0.476255967748111	5.285997993e-17	0.2012744692	0.5683655078

135	20	0.509690595720472	0.3490315729	0.1270371033	0.6509684271
140	20	0.501416546042882	0.3104626301	0.1346671504	0.6300050452
145	20	0.494215222276499	0.2716533677	0.1412063345	0.6120387844
150	20	0.488057316682977	0.2327403625	0.1467230012	0.5968818672
155	20	0.482911916820504	0.1938147882	0.1512795525	0.5843628454
160	20	0.478749056294754	0.1549306521	0.1549306521	0.5743315316
165	20	0.475541801804125	0.1161125115	0.1577220578	0.5666622075
170	20	0.473267774757796	0.07736246166	0.1596898738	0.5612556777
175	20	0.471910246328711	0.03866644722	0.1608601079	0.5580404859
180	20	0.471458896204561	5.425509187e-17	0.1612484393	0.5569735542

135	15	0.508126998140240	0.3530194996	0.09459128982	0.6469805004
140	15	0.499493007924458	0.3145107749	0.1004325411	0.6251806540
145	15	0.491933736345380	0.2756009619	0.1054645247	0.6064010356
150	15	0.485434114687617	0.2364347991	0.1097297721	0.5904829154
155	15	0.479976304310401	0.1971176562	0.1132675303	0.5772798220
160	15	0.475541801804126	0.1577220578	0.1161125115	0.5666622075
165	15	0.472113256970267	0.1182940229	0.1182940229	0.5585206962
170	15	0.469675752429427	0.07885898997	0.1198353343	0.5527684439
175	15	0.468217965359855	0.03942742207	0.1207533122	0.5493425036
180	15	0.467732834494597	5.532895757e-17	0.1210581656	0.5482047754

135	10	0.507042451084253	0.3557784253	0.06273333553	0.6442215747
140	10	0.498151837212729	0.3173241136	0.06668195382	0.6218278476
145	10	0.490335151318637	0.2783560735	0.07009591204	0.6024663284
150	10	0.483587808608436	0.2390231446	0.07299941069	0.5859997693
155	10	0.477901870887848	0.1994394581	0.07541492590	0.5723007018
160	10	0.473267774757797	0.1596898738	0.07736246166	0.5612556777
165	10	0.469675752429428	0.1198353343	0.07885898997	0.5527684439
170	10	0.467116990831687	0.07991805088	0.07991805088	0.5467622110
175	10	0.465584647647190	0.03996647652	0.08054950035	0.5431810831
180	10	0.465074364608533	5.608990599e-17	0.08075931589	0.5419911600

135	5	0.506404414128971	0.3573987421	0.03126833829	0.6426012579
140	5	0.497360116054380	0.3189813373	0.03325856651	0.6198528453
145	5	0.489388389141941	0.2799835588	0.03498303864	0.6001420386
150	5	0.482491044372330	0.2405560303	0.03645261243	0.5833447334
155	5	0.476666299561734	0.2008175853	0.03767740426	0.5693452986
160	5	0.471910246328712	0.1608601079	0.03866644722	0.5580404859
165	5	0.468217965359856	0.1207533122	0.03942742207	0.5493425036
170	5	0.465584647647191	0.08054950035	0.03996647652	0.5431810831
175	5	0.464006388978060	0.04028809429	0.04028809429	0.5395049751
180	5	0.463480604485608	5.654401492e-17	0.04039499633	0.5382830791

135	0	0.506193827001396	0.3579330877	4.383416101e-17	0.6420669123
140	0	0.497098359024171	0.3195286660	4.663448099e-17	0.6192005644
145	0	0.489074863102276	0.2805218171	4.906261739e-17	0.5993733261
150	0	0.482127297804469	0.2410636489	5.113322740e-17	0.5824655122
155	0	0.476255967748111	0.2012744692	5.285997993e-17	0.5683655078
160	0	0.471458896204562	0.1612484393	5.425509187e-17	0.5569735542
165	0	0.467732834494598	0.1210581656	5.532895757e-17	0.5482047754
170	0	0.465074364608534	0.08075931589	5.608990599e-17	0.5419911600
175	0	0.463480604485609	0.04039499633	5.654401492e-17	0.5382830791
180	0	0.462949586763616	5.669497296e-17	5.669497296e-17	0.5370504132