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# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.45750933683348	-0.9188436772	-0.7188436772	1.418843677
-40	-45	2.43514389897600	-0.7425896569	-0.7808606878	1.480860688
-35	-45	2.40944444346221	-0.5691008737	-0.8268342818	1.526834282
-30	-45	2.38121685584344	-0.4000153740	-0.8588723554	1.558872355
-25	-45	2.35103366142583	-0.2362158771	-0.8788200435	1.578820043
-20	-45	2.31928050423471	-0.07806575123	-0.8882225985	1.588222598
-15	-45	2.28619759792129	0.07440879867	-0.8883279866	1.588327987
-10	-45	2.25191382758630	0.2213841456	-0.8801090299	1.580109030
-5	-45	2.21647232140197	0.3631421757	-0.8642920903	1.564292090
0	-45	2.17984876163997	0.5000000000	-0.8413858413	1.541385841
5	-45	2.14196581511248	0.6322573616	-0.8117085604	1.511708560
10	-45	2.10270456947039	0.7601550837	-0.7754127963	1.475412796
15	-45	2.06191535082483	0.8838395386	-0.7325086601	1.432508660
20	-45	2.01942366294656	1.003328362	-0.6828833086	1.382883309
25	-45	1.97503993805021	1.118475092	-0.6263241152	1.326324115
30	-45	1.92857315445794	1.228932136	-0.5625474948	1.262547495
35	-45	1.87984757716527	1.334112068	-0.4912354871	1.191235487
40	-45	1.82872336255201	1.433149263	-0.4120839871	1.112083987
45	-45	1.77513501302357	1.524874678	-0.3248746776	1.024874678

-45	-40	2.40953139622289	-0.9652852023	-0.5295202728	1.465285202
-40	-40	2.38558387317794	-0.7899238540	-0.5899238540	1.537271387
-35	-40	2.35815932559417	-0.6146643924	-0.6357675110	1.591905730
-30	-40	2.32804779266575	-0.4416528375	-0.6685635753	1.630990558
-25	-40	2.29583829137138	-0.2723073050	-0.6897322152	1.656218360
-20	-40	2.26195290790305	-0.1075004002	-0.7005358509	1.669093632
-15	-40	2.22667873606837	0.05228401593	-0.7020505667	1.670898800
-10	-40	2.19019634876855	0.2068231794	-0.6951612001	1.662688372
-5	-40	2.15260332606058	0.3560550020	-0.6805696627	1.645298855
0	-40	2.11393307562347	0.5000000000	-0.6588099887	1.619366686
5	-40	2.07417040295840	0.6387001733	-0.6302667978	1.585350235
10	-40	2.03326465625555	0.7721701493	-0.5951952730	1.543553620
15	-40	1.99114042883633	0.9003565409	-0.5537415126	1.494150952
20	-40	1.94771002899359	1.023103119	-0.5059657445	1.437214009
25	-40	1.90288493430008	1.140119969	-0.4518670566	1.372741703
30	-40	1.85658674998863	1.250955451	-0.3914110133	1.300692996
35	-40	1.80876901405743	1.354976333	-0.3245681272	1.221032746
40	-40	1.75943047021129	1.451352563	-0.2513525634	1.133777835
45	-40	1.70864639214271	1.539062732	-0.1718771548	1.039062732

-45	-35	2.36032845140832	-0.9957101026	-0.3473074889	1.495710103
-40	-35	2.33426891591153	-0.8222349084	-0.4033717758	1.575778202
-35	-35	2.30474120745118	-0.6467074217	-0.4467074217	1.637667919
-30	-35	2.27250641837989	-0.4715761603	-0.4783227404	1.682819273
-25	-35	2.23816000807640	-0.2986447469	-0.4992448813	1.712699187
-20	-35	2.20215179890156	-0.1291950745	-0.5104482529	1.728699260
-15	-35	2.16480901079919	0.03589165282	-0.5128126243	1.732075932
-10	-35	2.12635991110330	0.1960260000	-0.5071033337	1.723922220
-5	-35	2.08695494053361	0.3508178229	-0.4939659464	1.705160087
0	-35	2.04668398430586	0.5000000000	-0.4739297061	1.676545370
5	-35	2.00559208307715	0.6433661012	-0.4474175140	1.638682035
10	-35	1.96369339101856	0.7807199909	-0.4147599361	1.592042181
15	-35	1.92098345270539	0.9118351553	-0.3762117909	1.536989724
20	-35	1.87744949548295	1.036421683	-0.3319703950	1.473806463
25	-35	1.83308540984901	1.154101596	-0.2821988986	1.402725399
30	-35	1.78790011018842	1.264389975	-0.2270483640	1.323962273
35	-35	1.74193391007558	1.366686696	-0.1666866962	1.237756878
40	-35	1.69527180290100	1.460278202	-0.1013280076	1.144414997
45	-35	1.64805986130244	1.544354561	-0.03126493636	1.044354561

-45	-30	2.31059200832938	-1.012637540	-0.1733216908	1.512637540
-40	-30	2.28198866010016	-0.8414873051	-0.2230227591	1.598722315
-35	-30	2.25004187388672	-0.6666745957	-0.2619717800	1.666183998
-30	-30	2.21548631531510	-0.4907956009	-0.2907956009	1.716108321
-25	-30	2.17892042465402	-0.3159045575	-0.3101972543	1.749712970
-20	-30	2.14081834454115	-0.1435868941	-0.3208941050	1.768240459
-15	-30	2.10154351357161	0.02495738586	-0.3235745764	1.772883172
-10	-30	2.06136780709522	0.1888287247	-0.3188731120	1.764739996
-5	-30	2.02049111030474	0.3473501628	-0.3073582225	1.744795623
0	-30	1.97905499969262	0.5000000000	-0.2895274998	1.713911905
5	-30	1.93715816230694	0.6463539614	-0.2658108334	1.672833434
10	-30	1.89487101218746	0.7860379537	-0.2365786729	1.622201847
15	-30	1.85224674112882	0.9186904189	-0.2021524709	1.562573916
20	-30	1.80933132330801	1.043933085	-0.1628175700	1.494443869
25	-30	1.76617493824801	1.161350532	-0.1188390237	1.418270792
30	-30	1.72284229567821	1.270478498	-0.07047849753	1.334507904
35	-30	1.67942108798597	1.370800647	-0.01801138997	1.243632208
40	-30	1.63603343755952	1.461756789	0.03825433759	1.146177109
45	-30	1.59284278454516	1.542760376	0.09796201635	1.042760376

-45	-25	2.26074928569749	-1.018190209	-0.007943720943	1.518190209
-40	-25	2.22928230527764	-0.8494440998	-0.04991823930	1.608204854
-35	-25	2.19468901979719	-0.6759523732	-0.08313295318	1.679434038
-30	-25	2.15768553179086	-0.5003522731	-0.1079530758	1.732660963
-25	-25	2.11887393618274	-0.3248386798	-0.1248386798	1.768872257
-20	-25	2.07874997933124	-0.1512002618	-0.1342980840	1.789158015
-15	-25	2.03771086954408	0.01912943282	-0.1368512927	1.794633389
-10	-25	1.99606748975805	0.1850121521	-0.1330049385	1.786384855
-5	-25	1.95406260488141	0.3455439229	-0.1232386769	1.765441040
0	-25	1.91188167074443	0.5000000000	-0.1079961083	1.732753246
5	-25	1.86966685343361	0.6477851359	-0.08768308792	1.689191833
10	-25	1.82753200025754	0.7883922386	-0.06267119689	1.635553660
15	-25	1.78557063434686	0.9213690846	-0.03330182209	1.572570832
20	-25	1.74386604170356	1.046292740	0.0001062600781	1.500926969
25	-25	1.70249886717690	1.162751518	0.03724848186	1.421275217
30	-25	1.66155896501427	1.270336670	0.07782329415	1.334262251
35	-25	1.62114758639851	1.368638944	0.1215243775	1.240544976
40	-25	1.58138650390734	1.457255473	0.1680303253	1.140812649
45	-25	1.54242112369517	1.535802007	0.2169975917	1.035802007

-45	-20	2.21103464949187	-1.014096803	0.1489138320	1.514096803
-40	-20	2.17649673907007	-0.8476238615	0.1154508543	1.606035578
-35	-20	2.13912796398297	-0.6758061856	0.08881198862	1.679225260
-30	-20	2.09963321615621	-0.5012541131	0.06879445016	1.734222995
-25	-20	2.05862078547118	-0.3262193117	0.05510551636	1.771833032
-20	-20	2.01660546721220	-0.1526049421	0.04739505791	1.793017342
-15	-20	1.97401224793091	0.01800763033	0.04528305866	1.798820012
-10	-20	1.93118520332444	0.1843198519	0.04838005500	1.790311085
-5	-20	1.88840039754019	0.3452719879	0.05630070747	1.768549271
0	-20	1.84587644838933	0.5000000000	0.06867307256	1.734556477
5	-20	1.80378644662535	0.6477950818	0.08514307607	1.689305515
10	-20	1.76227129379136	0.7880687270	0.1053749368	1.633718934
15	-20	1.72144642496063	0.9203236543	0.1290510916	1.568669233
20	-20	1.68141049423276	1.044130627	0.1558693725	1.494986612
25	-20	1.64225325911007	1.159111851	0.1855390196	1.413469927
30	-20	1.60406269018775	1.264930919	0.2177761218	1.324899217
35	-20	1.56692928030488	1.361287951	0.2522996254	1.230046670
40	-20	1.53094997922938	1.447919970	0.2888275473	1.129687029
45	-20	1.49623277048491	1.524606853	0.3270736037	1.024606853

-45	-15	2.16154397252768	-1.001725305	0.2976139172	1.501725305
-40	-15	2.12383452071264	-0.8372936765	0.2729627956	1.593724543
-35	-15	2.08366026443637	-0.6673498497	0.2532889430	1.667148361
-30	-15	2.04172039130163	-0.4944372178	0.2384800811	1.722415786
-25	-15	1.99862979279538	-0.3208013957	0.2283520069	1.760214273
-20	-15	1.95491783799600	-0.1483839342	0.2226698911	1.781420218
-15	-15	1.91102880212844	0.02116725892	0.2211672589	1.787028118
-10	-15	1.86732984602166	0.1864736048	0.2235604666	1.778096545
-5	-15	1.82411766140893	0.3463957766	0.2295604488	1.755704307
0	-15	1.78163156320741	0.5000000000	0.2388798201	1.720923940
5	-15	1.74006040168783	0.6465259793	0.2512387979	1.674799607
10	-15	1.69955513122938	0.7853568666	0.2663673157	1.618339210
15	-15	1.66023572781375	0.9159933244	0.2840066756	1.552508222
20	-15	1.62219768744312	1.038031266	0.3039097993	1.478228753
25	-15	1.58552185203313	1.151145377	0.3258395616	1.396385766
30	-15	1.55027657913016	1.255075345	0.3495683130	1.307828861
35	-15	1.51652715846752	1.349619192	0.3748752849	1.213381956
40	-15	1.48433251057524	1.434624831	0.4015468016	1.113842500
45	-15	1.45375652483370	1.509992389	0.4293733550	1.009992389

-45	-10	2.11227654358919	-0.9821292002	0.4386606331	1.482129200
-40	-10	2.07139333451227	-0.8194833477	0.4227259956	1.572499020
-35	-10	2.02847862191015	-0.6515375615	0.4100186297	1.644566073
-30	-10	1.98422922241533	-0.4807457921	0.4004730861	1.698701541
-25	-10	1.93926266836155	-0.3092989782	0.3939761919	1.735547259
-20	-10	1.89411298945005	-0.1391110495	0.3903798413	1.755943177
-15	-10	1.84923402884614	0.02817752060	0.3895119091	1.760865465
-10	-10	1.80500065336985	0.1911862833	0.3911862833	1.751369617
-5	-10	1.76171739277767	0.3487715668	0.3952101912	1.728548902
0	-10	1.71962614285123	0.5000000000	0.4013900540	1.693501158
5	-10	1.67891692200141	0.6441207181	0.4095352695	1.647307345
10	-10	1.63973518083892	0.7805387990	0.4194612010	1.591014591
15	-10	1.60219025384248	0.9087905404	0.4309907857	1.525627067
20	-10	1.56636116524663	1.028521125	0.4439556166	1.452099857
25	-10	1.53230792053377	1.139467389	0.4581953633	1.371342240
30	-10	1.50007026824328	1.241440347	0.4735587134	1.284212352
35	-10	1.46968057089635	1.334316104	0.4899016627	1.191526881
40	-10	1.44115862054267	1.418022072	0.5070883907	1.094056103
45	-10	1.41452564300196	1.492535644	0.5249891866	0.9925356442

-45	-5	2.06316719847709	-0.9560958413	0.5726081209	1.456095841
-40	-5	2.01919737732868	-0.7950099112	0.5649758835	1.543332714
-35	-5	1.97369709565430	-0.6291701009	0.5589138539	1.612622029
-30	-5	1.92735855143222	-0.4609250319	0.5543864076	1.664370977
-25	-5	1.88079258778887	-0.2923703148	0.5513354464	1.699243624
-20	-5	1.83452724531448	-0.1253355440	0.5496861395	1.718095287
-15	-5	1.78900781036874	0.03861527178	0.5493522862	1.721911248
-10	-5	1.74460058711215	0.1981715219	0.5502408987	1.711754360
-5	-5	1.70159978538379	0.3522558865	0.5522558865	1.688722945
0	-5	1.66023525293727	0.5000000000	0.5553009634	1.653917557
5	-5	1.62068107063964	0.6407182171	0.5592817829	1.608416581
10	-5	1.58306434616637	0.7738815439	0.5641074092	1.553259421
15	-5	1.54747201619239	0.8990926990	0.5696913898	1.489434230
20	-5	1.51396041109688	1.016063885	0.5759521100	1.417873871
25	-5	1.48256069372087	1.124596828	0.5828131155	1.339452219
30	-5	1.45328420388429	1.224565322	0.5902031313	1.254983952
35	-5	1.42612973831887	1.315901824	0.5980557103	1.165228564
40	-5	1.40108441510339	1.398583875	0.6063092160	1.070890561
45	-5	1.37813248447989	1.472627415	0.6149061273	0.9726274152

-45	0	2.01410682765370	-0.9241885959	0.7000000000	1.424188596
-40	0	1.96722047801037	-0.7645049488	0.7000000000	1.506978316
-35	0	1.91937485764999	-0.6009081909	0.7000000000	1.572259838
-30	0	1.87124725177853	-0.4356236259	0.7000000000	1.620547657
-25	0	1.82342891077540	-0.2706143567	0.7000000000	1.652587821
-20	0	1.77642366234793	-0.1075726756	0.7000000000	1.669292207
-15	0	1.73064987577774	0.05207485174	0.7000000000	1.671679411
-10	0	1.68644564794101	0.2071517865	0.7000000000	1.660824749
-5	0	1.64407615015953	0.3567093220	0.7000000000	1.637819944
0	0	1.60374205678632	0.5000000000	0.7000000000	1.603742057
5	0	1.56558827210051	0.6364500087	0.7000000000	1.559630736
10	0	1.52971236282157	0.7656317642	0.7000000000	1.506472595
15	0	1.49617311795352	0.8872380977	0.7000000000	1.445192255
20	0	1.46500039442759	1.001059645	0.7000000000	1.376650060
25	0	1.43619690675987	1.106963040	0.7000000000	1.301636440
30	0	1.40975006361949	1.204875032	0.7000000000	1.220879368
35	0	1.38563103454361	1.294765311	0.7000000000	1.135042495
40	0	1.36380440105775	1.376636571	0.7000000000	1.044734783
45	0	1.34422853445994	1.450513112	0.7000000000	0.9505131122

-45	5	1.96495735717053	-0.8867835036	0.8213278353	1.386783504
-40	5	1.91540563227204	-0.7284431951	0.8280835426	1.464001591
-35	5	1.86553652260577	-0.5672904511	0.8333544843	1.524248730
-30	5	1.81599457200899	-0.4054021841	0.8371999482	1.568202584
-25	5	1.76733281335007	-0.2445701705	0.8396962884	1.596735883
-20	5	1.72000998934017	-0.08630003188	0.8409307723	1.610846099
-15	5	1.67439597508633	0.06817363936	0.8409965480	1.611597918
-10	5	1.63077985306402	0.2178633294	0.8399885607	1.600076570
-5	5	1.58937927496868	0.3619996112	0.8380003888	1.577351662
0	5	1.55035040864682	0.5000000000	0.8351219414	1.544450857
5	5	1.51379722620494	0.6314378570	0.8314378570	1.502341580
10	5	1.47978123317924	0.7560128208	0.8270266153	1.451920856
15	5	1.44833212528101	0.8735245426	0.8219602967	1.394012571
20	5	1.41945081922318	0.9838483879	0.8163041502	1.329362520
25	5	1.39311946520430	1.086915600	0.8101171308	1.258644565
30	5	1.36930633072389	1.182696392	0.8034522683	1.182464837
35	5	1.34796784442003	1.271184692	0.7963570290	1.101365881
40	5	1.32905785411190	1.352389723	0.7888743540	1.015838515
45	5	1.31252282504254	1.426322902	0.7810427527	0.9263229023

-45	10	1.91556669764977	-0.8441030466	0.9370016320	1.344103047
-40	10	1.86368375382027	-0.6871717638	0.9494702714	1.414816215
-35	10	1.81218821587501	-0.5287526704	0.9590615530	1.469211076
-30	10	1.76167553186637	-0.3707440881	0.9659315917	1.508173001
-25	10	1.71263366403516	-0.2147214748	0.9702607978	1.532725149
-20	10	1.66545224908769	-0.06195640950	0.9722422540	1.543962546
-15	10	1.62042988218654	0.08655571292	0.9720716647	1.542995085
-10	10	1.57778644359354	0.2300598785	0.9699401215	1.530906504
-5	10	1.53767543349455	0.3680036607	0.9660289348	1.508725061
0	10	1.50019558347589	0.5000000000	0.9605062292	1.477404242
5	10	1.46540351274144	0.6257924104	0.9535253715	1.437813830
10	10	1.43332178503072	0.7452239709	0.9452239709	1.390734248
15	10	1.40394738620763	0.8582099001	0.9357240549	1.336857547
20	10	1.37725978830297	0.9647145939	0.9251330288	1.276792853
25	10	1.35322724247876	1.064732897	0.9135449523	1.211073606
30	10	1.33180802448134	1.158273299	0.9010414638	1.140162799
35	10	1.31295792581833	1.245346957	0.8876940355	1.064465771
40	10	1.29663099476378	1.325957570	0.8735653302	0.9843379017
45	10	1.28277967732607	1.400092946	0.8587106715	0.9000929461

-45	15	1.86577834488676	-0.7962431439	1.047327304	1.296243144
-40	15	1.81198082299604	-0.6409318725	1.064333105	1.359709658
-35	15	1.75933421002966	-0.4856494174	1.077179552	1.407653251
-30	15	1.70835452563232	-0.3320685480	1.086164357	1.441185001
-25	15	1.65943979030330	-0.1815021475	1.091604013	1.461486072
-20	15	1.61288409917521	-0.03494224530	1.093816112	1.469741740
-15	15	1.56889182570657	0.1068940601	1.093105940	1.467091340
-10	15	1.52759616749679	0.2435152012	1.089758246	1.454597576
-5	15	1.48907409657600	0.3746089274	1.084031888	1.433226518
0	15	1.45335902863691	0.5000000000	1.076156996	1.403837021
5	15	1.42045401439549	0.6196127532	1.066334784	1.367180026
10	15	1.39034151872130	0.7334396172	1.054738434	1.323901857
15	15	1.36299098984914	0.8415148484	1.041514848	1.274550766
20	15	1.33836597935901	0.9438933352	1.026787329	1.219586915
25	15	1.31642631903079	1.040632669	1.010657748	1.159390501
30	15	1.29713376547681	1.131779992	0.9932101148	1.094275046
35	15	1.28045493559854	1.217362087	0.9745137427	1.024499235
40	15	1.26635783434520	1.297374893	0.9546252564	0.9502743936
45	15	1.25481709435042	1.371779898	0.9335927197	0.8717798981

-45	20	1.81544425482094	-0.7432000297	1.152487806	1.243200030
-40	20	1.76023423909886	-0.5898861551	1.172752108	1.298875741
-35	20	1.70698654419017	-0.4382726846	1.187717298	1.339992264
-30	20	1.65610123276636	-0.2897465892	1.197868047	1.367881218
-25	20	1.60785513301713	-0.1453062996	1.203685241	1.383863825
-20	20	1.56242159865050	-0.005623967349	1.205623967	1.389190433
-15	20	1.51989318956293	0.1288893745	1.204100125	1.385003710
-10	20	1.48030314295647	0.2580230448	1.199483452	1.372319507
-5	20	1.44364275007007	0.3817136592	1.192094695	1.352019062
0	20	1.40987622229638	0.5000000000	1.182206068	1.324850282
5	20	1.37895320741719	0.6129859371	1.170043962	1.291435171
10	20	1.35081920660198	0.7208109334	1.155793021	1.252281032
15	20	1.32541896376129	0.8236260706	1.139599223	1.207788938
20	20	1.30270430542172	0.9215754056	1.121575406	1.158268908
25	20	1.28263720339230	1.014781370	1.101805744	1.103952210
30	20	1.26519198936823	1.103333322	1.080350339	1.045003968
35	20	1.25035421755139	1.187277362	1.057249085	0.9815337941
40	20	1.23812185136229	1.266609258	1.032526605	0.9136093374
45	20	1.22850532327382	1.341269486	1.006197052	0.8412694856

-45	25	1.76443072027902	-0.6848909832	1.252523740	1.184890983
-40	25	1.70840691630652	-0.5341443198	1.274698639	1.232445208
-35	25	1.65517804124567	-0.3868730504	1.290618742	1.266585979
-30	25	1.60499374681498	-0.2441117435	1.300995657	1.288839346
-25	25	1.55797905762742	-0.1064926125	1.306492612	1.300627605
-20	25	1.51416485483792	0.02566467360	1.307704077	1.303225599
-15	25	1.47351798315232	0.1522708698	1.305147397	1.297742781
-10	25	1.43596508830102	0.2733986675	1.299261306	1.285120017
-5	25	1.40140981120888	0.3892275706	1.290408289	1.266134661
0	25	1.36974805269261	0.5000000000	1.278880541	1.241413326
5	25	1.34087891699037	0.6059878516	1.264906868	1.211446687
10	25	1.31471271739170	0.7074671982	1.248659898	1.176604949
15	25	1.29117594636708	0.8046990223	1.230262794	1.137152232
20	25	1.27021505397039	0.8979143158	1.209795789	1.093260598
25	25	1.25179977949711	0.9873026469	1.187302647	1.045023899
30	25	1.23592129814555	1.073001330	1.162795157	0.9924674168
35	25	1.22259484261307	1.155087483	1.136259671	0.9355618835
40	25	1.21185856679522	1.233570346	1.107662520	0.8742350957
45	25	1.20377030700828	1.308383444	1.076955391	0.8083834441

-45	30	1.71263603232501	-0.6211834651	1.347315575	1.121183465
-40	30	1.65649401994670	-0.4737847245	1.370021595	1.160511444
-35	30	1.60397444863968	-0.3316806292	1.385755307	1.187763033
-30	30	1.55513515697239	-0.1954775850	1.395477585	1.204602513
-25	30	1.50992250992742	-0.06539589211	1.400034548	1.212495403
-20	30	1.46821137725089	0.05861663717	1.400147373	1.212690823
-15	30	1.42983718969634	0.1767929895	1.396414319	1.206224984
-10	30	1.39461949138880	0.2894769074	1.389319148	1.193935788
-5	30	1.36237885764366	0.3970711082	1.379242555	1.176482616
0	30	1.33294861034916	0.5000000000	1.366474305	1.154367359
5	30	1.30618332136582	0.5986832708	1.351225092	1.127954946
10	30	1.28196457585474	0.6935174066	1.333637157	1.097491750
15	30	1.26020519117068	0.7848626091	1.313793617	1.063121730
20	30	1.24084890613169	0.8730321611	1.291724812	1.024897439
25	30	1.22387445744650	0.9582841743	1.267416140	0.9827935833
30	30	1.20929573320307	1.040813493	1.240813493	0.9367164471
35	30	1.19716211214492	1.120743391	1.211828771	0.8865134369
40	30	1.18755735865367	1.198116143	1.180345275	0.8319824209
45	30	1.18059717400552	1.272882274	1.146223789	0.7728822736

-45	35	1.66000862734713	-0.5519263423	1.436566754	1.051926342
-40	35	1.60454312700403	-0.4088853988	1.458442006	1.083167439
-35	35	1.55348072976216	-0.2729231709	1.472923171	1.103848686
-30	35	1.50665082283254	-0.1441460449	1.481217123	1.115693677
-25	35	1.46380307674755	-0.02233023268	1.484331031	1.120140799
-20	35	1.42465120210653	0.09295107642	1.483082510	1.118357726
-15	35	1.38890287280588	0.2022363574	1.478118961	1.111269043
-10	35	1.35627946693484	0.3061129292	1.469939961	1.099588220
-5	35	1.32652912256348	0.4051754791	1.458919404	1.083849234
0	35	1.29943219627494	0.5000000000	1.445323688	1.064432540
5	35	1.27480712177720	0.5911272678	1.429328776	1.041589437
10	35	1.25251295673116	0.6790531187	1.411033235	1.015460697
15	35	1.23245098581830	0.7642222880	1.390468354	0.9860910035
20	35	1.21456552191808	0.8470235996	1.367605528	0.9534395039
25	35	1.19884543417014	0.9277851471	1.342362139	0.9173882085
30	35	1.18532598703466	1.006768413	1.314606214	0.8777486390
35	35	1.17408936232824	1.084159723	1.284159723	0.8342665441
40	35	1.16526627387049	1.160059231	1.250802827	0.7866279595
45	35	1.15903558710478	1.234466102	1.214278701	0.7344661019

-45	40	1.60656665507303	-0.4769859608	1.519788559	0.9769859608
-40	40	1.55267065884544	-0.3395541833	1.539554183	1.000541714
-35	40	1.50385744262109	-0.2108494851	1.551852498	1.015198275
-30	40	1.45970325581192	-0.09042332250	1.558099526	1.022643193
-25	40	1.41975697522406	0.02240160496	1.559416804	1.024213063
-20	40	1.38357899483601	0.1284074747	1.556672116	1.020942072
-15	40	1.35076354862739	0.2284033742	1.550521797	1.013612407
-10	40	1.32095030326829	0.3231793189	1.541449038	1.002799914
-5	40	1.29382927007869	0.4134813881	1.529795911	0.9889122586
0	40	1.26914177680841	0.5000000000	1.515788609	0.9722190057
5	40	1.24668052262038	0.5833657660	1.499557117	0.9528750662
10	40	1.22628887608320	0.6641494261	1.481149444	0.9309376562
15	40	1.20786048480471	0.7428632550	1.460541451	0.9063780068
20	40	1.19133971606852	0.8199621671	1.437643112	0.8790888292
25	40	1.17672227376300	0.8958428655	1.412301410	0.8488877645
30	40	1.16405891485182	0.9708405831	1.384302374	0.8155198122
35	40	1.15345943228382	1.045221921	1.353371305	0.7786575995
40	40	1.14509621184025	1.119172076	1.319172076	0.7379005458
45	40	1.13920999381882	1.192776840	1.281308791	0.6927768399

-45	45	1.55242598255026	-0.3962935589	1.596293559	0.8962935589
-40	45	1.50107254714650	-0.2659577006	1.612832841	0.9128328414
-35	45	1.45532056225935	-0.1457440797	1.622218120	0.9222181202
-30	45	1.41448701297008	-0.03462583844	1.625999115	0.9259991152
-25	45	1.37793304545236	0.06850631179	1.625341201	0.9253412005
-20	45	1.34508790723267	0.1647454889	1.621104199	0.9211041990
-15	45	1.31545699702771	0.2551187508	1.613909264	0.9139092638
-10	45	1.28862140512580	0.3405665663	1.604191934	0.9041919337
-5	45	1.26423340798151	0.4219389153	1.592242281	0.8922422813
0	45	1.24201035167921	0.5000000000	1.578233942	0.8782339420
5	45	1.22173016191844	0.5754366884	1.562245294	0.8622452942
10	45	1.20322716929523	0.6488681146	1.544273032	0.8442730321
15	45	1.18638979119615	0.7208545127	1.524240263	0.8242402626
20	45	1.17116030733692	0.7919041753	1.502000130	0.8020001303
25	45	1.15753677212318	0.8624775621	1.477335640	0.7773356404
30	45	1.14557678803558	0.9329873270	1.449956049	0.7499560494
35	45	1.13540600868653	1.003793959	1.419492339	0.7194923388
40	45	1.12722693127170	1.075194150	1.385489695	0.6854896951
45	45	1.12132987478805	1.147400105	1.347400105	0.6474001051


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.77513523376178	1.524874805	-0.3248748051	1.024874805
45	-40	1.70864657515743	1.539062843	-0.1718772482	1.039062843
45	-35	1.64806000245075	1.544354651	-0.03126499899	1.044354651
45	-30	1.59284288875161	1.542760444	0.09796197697	1.042760444
45	-25	1.54242119865482	1.535802058	0.2169975682	1.035802058
45	-20	1.49623282864184	1.524606893	0.3270735892	1.024606893
45	-15	1.45375655649364	1.509992411	0.4293733491	1.009992411
45	-10	1.41452567346961	1.492535666	0.5249891828	0.9925356656
45	-5	1.37813250145748	1.472627427	0.6149061263	0.9726274272
45	0	1.34422854423283	1.450513119	0.7000000000	0.9505131191
45	5	1.31252283247547	1.426322908	0.7810427532	0.9263229075
45	10	1.28277968583137	1.400092952	0.8587106726	0.9000929521
45	15	1.25481711242267	1.371779911	0.9335927230	0.8717799107
45	20	1.22850533775807	1.341269496	1.006197055	0.8412694955
45	25	1.20377031438887	1.308383449	1.076955393	0.8083834491
45	30	1.18059720605501	1.272882295	1.146223801	0.7728822946
45	35	1.15903559901951	1.234466109	1.214278706	0.7344661095
45	40	1.13921002986002	1.192776862	1.281308809	0.6927768618
45	45	1.12132988301645	1.147400110	1.347400110	0.6474001098

50	-45	1.78896498264630	1.587906105	-0.3879061051	0.9128616116
50	-40	1.71912847305419	1.607807209	-0.2295606205	0.9295606205
50	-35	1.65475162743985	1.617061332	-0.08217476542	0.9373257518
50	-30	1.59555397379820	1.617817887	0.05462754180	0.9379605770
50	-25	1.54115540588582	1.611789924	0.1815638442	0.9329025151
50	-20	1.49113590450948	1.600308249	0.2995205490	0.9232682455
50	-15	1.44507475754294	1.584383499	0.4094403173	0.9099057938
50	-10	1.40257468108527	1.564765091	0.5122531864	0.8934439948
50	-5	1.36327495074834	1.541991661	0.6088375421	0.8743348187
50	0	1.32685972886387	1.516433522	0.7000000000	0.8528889935
50	5	1.29306164235760	1.488325538	0.7864672804	0.8293035943
50	10	1.26166337130289	1.457792217	0.8688846098	0.8036830964
50	15	1.23249851105931	1.424866371	0.9478171973	0.7760550312
50	20	1.20545141159117	1.389501840	1.023752193	0.7463806662
50	25	1.18046149838157	1.351585242	1.097100720	0.7145648626
50	30	1.15752515119077	1.310942369	1.168197795	0.6804614426
50	35	1.13669885784154	1.267343159	1.237299464	0.6438773613
50	40	1.11810534761592	1.220507620	1.304577678	0.6045776782
50	45	1.10193845855133	1.170111259	1.370111259	0.5622901101

55	-45	1.80092053731217	1.641220426	-0.4412204264	0.7990911453
55	-40	1.72844093791304	1.666806247	-0.2790666918	0.8170065300
55	-35	1.66092013192804	1.680191341	-0.1263788732	0.8263788732
55	-30	1.59830660465162	1.683565924	0.01666789526	0.8287417819
55	-25	1.54041285783629	1.678764628	0.1503330269	0.8253798782
55	-20	1.48697192520843	1.667279780	0.2751449052	0.8173381008
55	-15	1.43767963098289	1.650295603	0.3917792221	0.8054456524
55	-10	1.39222450164405	1.628730250	0.5009744030	0.7903454295
55	-5	1.35030677644831	1.603276920	0.6034757767	0.7725228164
55	0	1.31165448941834	1.574444456	0.7000000000	0.7523341078
55	5	1.27603056777852	1.542589062	0.7912147236	0.7300287203
55	10	1.24323827695836	1.507941355	0.8777272559	0.7057681350
55	15	1.21312468671554	1.470627922	0.9600789679	0.6796409880
55	20	1.18558213335698	1.430687411	1.038742515	0.6516743409
55	25	1.16055225230329	1.388085254	1.114120955	0.6218439893
55	30	1.13802740505172	1.342723451	1.186546611	0.5900813128
55	35	1.11805267243608	1.294448846	1.256279071	0.5562790708
55	40	1.10072810679170	1.243060641	1.323501910	0.5202966623
55	45	1.08621029060728	1.188317638	1.388317638	0.4819651990

60	-45	1.81105001465826	1.685610540	-0.4856105399	0.6845125644
60	-40	1.73651888696066	1.716575500	-0.3208280535	0.7023901925
60	-35	1.66643849425014	1.734018436	-0.1640690109	0.7124608760
60	-30	1.60095252347827	1.740092492	-0.01596773425	0.7159677342
60	-25	1.54005155355710	1.736689577	0.1233221796	0.7140030601
60	-20	1.48362037137008	1.725418108	0.2539842840	0.7074954748
60	-15	1.43147758286716	1.707608837	0.3764221875	0.6972132869
60	-10	1.38340599090704	1.684335893	0.4911696278	0.6837766469
60	-5	1.33917732735807	1.656446929	0.5988240038	0.6676749456
60	0	1.29856982636669	1.624594458	0.7000000000	0.6492849132
60	5	1.26138040658827	1.589265378	0.7952983721	0.6288876590
60	10	1.22743320309366	1.550807362	0.8852856894	0.6066839130
60	15	1.19658538705273	1.509451426	0.9704816944	0.5828070524
60	20	1.16873103922038	1.465330624	1.051351613	0.5573338958
60	25	1.14380462602887	1.418496044	1.128301739	0.5302939380
60	30	1.12178281978035	1.368929236	1.201676528	0.5016765282
60	35	1.10268575122702	1.316552516	1.271756227	0.4714368151
60	40	1.08657739904047	1.261237584	1.338754176	0.4395007242
60	45	1.07356595558368	1.202813894	1.402813894	0.4057697906

65	-45	1.81942844436810	1.721824316	-0.5218243162	0.5697460355
65	-40	1.74333496045920	1.757642309	-0.3552871975	0.5864482398
65	-35	1.67121503207882	1.778857908	-0.1954659477	0.5963412364
65	-30	1.60337106731297	1.787536305	-0.04335943223	0.6003880391
65	-25	1.53994896055654	1.785575771	0.1005261729	0.5994738271
65	-20	1.48097394952614	1.774658539	0.2360622329	0.5943830383
65	-15	1.42638388486520	1.756231285	0.3633938416	0.5857902687
65	-10	1.37605814993451	1.731506175	0.4828522344	0.5742607604
65	-5	1.32984229305244	1.701475406	0.5948845225	0.5602571827
65	0	1.28756758701866	1.666932530	0.7000000000	0.5441495755
65	5	1.24906603926266	1.628496314	0.7987306343	0.5262264735
65	10	1.21418163374458	1.586634442	0.8916029702	0.5067059618
65	15	1.18277854278826	1.541685499	0.9791187883	0.4857459256
65	20	1.15474655320452	1.493878086	1.061742040	0.4634529628
65	25	1.13000619820180	1.443348531	1.139890644	0.4398906442
65	30	1.10851077465235	1.390154435	1.213930903	0.4150858300
65	35	1.09024785058234	1.334286468	1.284173674	0.3890341690
65	40	1.07523979399540	1.275678276	1.350871356	0.3617047205
65	45	1.06354354672310	1.214215154	1.414215154	0.3330439959

70	-45	1.82614086691754	1.750524974	-0.5505249742	0.4551538678
70	-40	1.74888479162358	1.790500991	-0.3828589053	0.4697039479
70	-35	1.67518509927103	1.815027984	-0.2207925075	0.4786310435
70	-30	1.60546607426187	1.826058362	-0.06560015243	0.4826457728
70	-25	1.54000153948663	1.825462958	0.08192647188	0.4824290635
70	-20	1.47893875219755	1.814963623	0.2213923822	0.4786076178
70	-15	1.42232379671519	1.796093534	0.3527127844	0.4717394670
70	-10	1.37012636187360	1.770179789	0.4760330329	0.4623076352
70	-5	1.32226258981846	1.738342537	0.5916590664	0.4507198234
70	0	1.27861495912896	1.701505042	0.7000000000	0.4373120716
70	5	1.23904883770650	1.660410113	0.8015227299	0.4223547407
70	10	1.20342577673770	1.615639507	0.8967173458	0.4060595727
70	15	1.17161383219716	1.567633907	0.9860716431	0.3885869632
70	20	1.14349532867109	1.516711989	1.070052901	0.3700529007
70	25	1.11897294209425	1.463088119	1.149095365	0.3505354084
70	30	1.09797334865463	1.406887267	1.223591608	0.3300799711
70	35	1.08044966965117	1.348157945	1.293886587	0.3087042459
70	40	1.06638280715902	1.286883204	1.360273407	0.2864020643
70	45	1.05578189905331	1.222990026	1.422990026	0.2631468490

75	-45	1.83126889548491	1.772267822	-0.5722678216	0.3409031354
75	-40	1.75317918925904	1.815584936	-0.4039068349	0.3525099213
75	-35	1.67830706966594	1.842822978	-0.2402547713	0.3598083324
75	-30	1.60716556881868	1.855820982	-0.08278360917	0.3632911373
75	-25	1.54012733315889	1.856406336	0.06749733787	0.3634479824
75	-20	1.47743821638035	1.846316586	0.2099808367	0.3607444420
75	-15	1.41923489785273	1.827145183	0.3443925201	0.3556074799
75	-10	1.36556458019029	1.800308924	0.4707204535	0.3484167260
75	-5	1.31640507865279	1.767033435	0.5891489381	0.3395005857
75	0	1.27168391354112	1.728352335	0.7000000000	0.3291360162
75	5	1.23129547393270	1.685115858	0.8036842025	0.3175508370
75	10	1.19511575942228	1.638005269	0.9006610330	0.3049275927
75	15	1.16301454365900	1.587550166	0.9914081887	0.2914081887
75	20	1.13486501041097	1.534146518	1.076398550	0.2770987243
75	25	1.11055190092896	1.478074736	1.156083740	0.2620743357
75	30	1.08997636002889	1.419514982	1.230882222	0.2463832969
75	35	1.07305988369078	1.358561281	1.301171081	0.2300508020
75	40	1.05974692317760	1.295233652	1.367280264	0.2130822147
75	45	1.05000644185786	1.229488396	1.429488396	0.1954658265

80	-45	1.83488081693799	1.787487875	-0.5874878746	0.2270188496
80	-40	1.75623312051157	1.833245026	-0.4187254099	0.2350870700
80	-35	1.68055423773734	1.862490318	-0.2540259917	0.2402438041
80	-30	1.60841688226042	1.876968047	-0.09499287250	0.2427966182
80	-25	1.54026344914859	1.878462058	0.05721258609	0.2430600526
80	-20	1.47641187845207	1.868712098	0.2018295369	0.2413408718
80	-15	1.41706690005507	1.849350124	0.3384427239	0.2379268333
80	-10	1.36233510323860	1.821856756	0.4669209893	0.2330790107
80	-5	1.31224218387290	1.787536125	0.5873551852	0.2270273575
80	0	1.26675081356855	1.747506022	0.7000000000	0.2199689703
80	5	1.22577785807079	1.702699695	0.8052225889	0.2120684058
80	10	1.18921004792619	1.653875674	0.9034594138	0.2034594138
80	15	1.15691758437949	1.601632454	0.9951815263	0.1942475244
80	20	1.12876552013849	1.546425490	1.080867731	0.1845130472
80	25	1.10462307451018	1.488584776	1.160984652	0.1743141686
80	30	1.08437041260909	1.428331097	1.235972209	0.1636898195
80	35	1.06790386267812	1.365790964	1.306233360	0.1526623066
80	40	1.05513969814121	1.301009694	1.372126939	0.1412396209
80	45	1.04601672268608	1.233962574	1.433962574	0.1294174046

85	-45	1.83702797738745	1.796496377	-0.5964963771	0.1134287353
85	-40	1.75806028934033	1.843737858	-0.4275299407	0.1175618293
85	-35	1.68190961899674	1.874215176	-0.2622358255	0.1202282492
85	-30	1.60918301835814	1.889610413	-0.1022919462	0.1215751579
85	-25	1.54036427259412	1.891676140	0.05105075830	0.1217558855
85	-20	1.47581513271798	1.882149559	0.1969387011	0.1209224177
85	-15	1.41578244650929	1.862683664	0.3348700126	0.1192193726
85	-10	1.36041005382366	1.834797121	0.4646392538	0.1167796162
85	-5	1.30975394986239	1.799842399	0.5862785257	0.1137214743
85	0	1.26379912703930	1.758989990	0.7000000000	0.1101473516
85	5	1.22247665250103	1.713225572	0.8061434838	0.1061434838
85	10	1.18567984393598	1.663356620	0.9051311603	0.1017805159
85	15	1.15327877651361	1.610025169	0.9974303476	0.09711461851
85	20	1.12513274446938	1.553723934	1.083524147	0.09218889868
85	25	1.10110076758694	1.494813820	1.163889303	0.08703493155
85	30	1.08104934663499	1.433540444	1.238979827	0.08167420579
85	35	1.06485869452598	1.370049711	1.309215367	0.07611948645
85	40	1.05242736655765	1.304401592	1.374973079	0.07037602019
85	45	1.04367557280795	1.236581922	1.436581922	0.06444256797

90	-45	1.83773942024261	1.799478006	-0.5994780061	0.000000000
90	-40	1.75866752489247	1.847217485	-0.4304496946	0.000000000
90	-35	1.68236167081113	1.878110002	-0.2649630118	0.000000000
90	-30	1.60944007254777	1.893815989	-0.1047200363	0.000000000
90	-25	1.54040022081010	1.896076715	0.04899873630	0.000000000
90	-20	1.47561855475151	1.886627867	0.1953087304	0.000000000
90	-15	1.41535617554566	1.867129083	0.3336788662	0.000000000
90	-10	1.35976961622187	1.839111660	0.4638784841	0.000000000
90	-5	1.30892524325366	1.803944388	0.5859196482	0.000000000
90	0	1.26281570315378	1.762815703	0.7000000000	0.000000000
90	5	1.22137692158329	1.716729214	0.8064500128	0.000000000
90	10	1.18450443982133	1.666509156	0.9056870374	0.000000000
90	15	1.15206824301443	1.612812470	0.9981772025	0.000000000
90	20	1.12392562598760	1.556144617	1.084405204	0.000000000
90	25	1.09993195231571	1.496876894	1.164851330	0.000000000
90	30	1.07994897128024	1.435263244	1.239974486	0.000000000
90	35	1.06385135459481	1.371456012	1.310200069	0.000000000
90	40	1.05153162089280	1.305519955	1.375911497	0.000000000
90	45	1.04290370290388	1.237444280	1.437444280	0.000000000


### +y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	1.12132992986752	1.147400137	1.347400137	0.6474001369
40	45	1.12722699832854	1.075194185	1.385489736	0.6854897358
35	45	1.13540604135168	1.003793974	1.419492359	0.7194923595
30	45	1.14557682725411	0.9329873418	1.449956075	0.7499560750
25	45	1.15753680237379	0.8624775716	1.477335661	0.7773356608
20	45	1.17116031547863	0.7919041773	1.502000136	0.8020001359
15	45	1.18638980216428	0.7208545148	1.524240270	0.8242402702
10	45	1.20322717643226	0.6488681155	1.544273037	0.8442730371
5	45	1.22173016987660	0.5754366889	1.562245300	0.8622452998
0	45	1.24201036329882	0.5000000000	1.578233950	0.8782339502
-5	45	1.26423342504010	0.4219389142	1.592242293	0.8922422933
-10	45	1.28862142693451	0.3405665636	1.604191949	0.9041919490
-15	45	1.31545704045459	0.2551187427	1.613909294	0.9139092939
-20	45	1.34508796825072	0.1647454737	1.621104241	0.9211042408
-25	45	1.37793313604749	0.06850628342	1.625341261	0.9253412614
-30	45	1.41448714481408	-0.03462588827	1.625999202	0.9259992015
-35	45	1.45532074467621	-0.1457441606	1.622218236	0.9222182358
-40	45	1.50107277438866	-0.2659578165	1.612832980	0.9128329796
-45	45	1.55242627106276	-0.3962937255	1.596293725	0.8962937255

45	50	1.10193850251162	1.170111286	1.370111286	0.5622901326
40	50	1.10570187007099	1.097870917	1.412514813	0.5978709169
35	50	1.11213763862422	1.025689766	1.450762792	0.6299647820
30	50	1.12097499172007	0.9534139226	1.485335951	0.6589751067
25	50	1.13201731389230	0.8808043642	1.516637594	0.6852403043
20	50	1.14513678295460	0.8075532879	1.544995714	0.7090355918
15	50	1.16026941789867	0.7332941685	1.570665690	0.7305752593
10	50	1.17740966019731	0.6576065182	1.593830981	0.7500132467
5	50	1.19660804628775	0.5800174099	1.614603181	0.7674431916
0	50	1.21796972082064	0.5000000000	1.633018937	0.7828958455
-5	50	1.24165429261503	0.4169703389	1.649033369	0.7963335498
-10	50	1.26787685529482	0.3302836613	1.662509186	0.8076411030
-15	50	1.29691066844042	0.2392315170	1.673201228	0.8166127912
-20	50	1.32908698211021	0.1430425803	1.680732450	0.8229322374
-25	50	1.36479673266763	0.04088992662	1.684564730	0.8261479015
-30	50	1.40448810293007	-0.06808980103	1.683960399	0.8256408076
-35	50	1.44865810492079	-0.1847576365	1.677935254	0.8205851107
-40	50	1.49783405347739	-0.3099031422	1.665204979	0.8099031422
-45	50	1.55253909614881	-0.4441306999	1.644130700	0.7922197221

45	55	1.08621032302633	1.188317659	1.388317659	0.4819652134
40	55	1.08798992345225	1.116286430	1.434461567	0.5142755257
35	55	1.09274008469628	1.043684975	1.476462613	0.5436849747
30	55	1.10022745015610	0.9703858052	1.514732114	0.5704815677
25	55	1.11027897723679	0.8961818948	1.549614815	0.5949066981
20	55	1.12278053801736	0.8207989498	1.581387871	0.6171544311
15	55	1.13767473254352	0.7439034285	1.610259987	0.6373709048
10	55	1.15495869341680	0.6651072389	1.636369682	0.6556531102
5	55	1.17468256966246	0.5839700464	1.659782022	0.6720466067
0	55	1.19694859860762	0.5000000000	1.680482891	0.6865415117
-5	55	1.22191066772060	0.4126539390	1.698370046	0.6990662321
-10	55	1.24977415550007	0.3213384069	1.713240245	0.7094784574
-15	55	1.28079578275388	0.2254131839	1.724771949	0.7175530436
-20	55	1.31528096496912	0.1242001550	1.732501588	0.7229653955
-25	55	1.35358050465198	0.01700059169	1.735795574	0.7252718688
-30	55	1.39608241896540	-0.09687417606	1.733816399	0.7238860355
-35	55	1.44319699616562	-0.2180522920	1.725484950	0.7180522920
-40	55	1.49533191382198	-0.3470232554	1.709443008	0.7068196033
-45	55	1.55285360462153	-0.4840235680	1.684023568	0.6890207201

45	60	1.07356597656587	1.202813907	1.402813907	0.4057697986
40	60	1.07357461463914	1.131110374	1.452128055	0.4342413353
35	60	1.07677275581114	1.058320018	1.497363621	0.4603581011
30	60	1.08297320954295	0.9843203429	1.538867441	0.4843203429
25	60	1.09203711847292	0.9089172105	1.576925788	0.5062933396
20	60	1.10387517159202	0.8318542159	1.611761965	0.5264060158
15	60	1.11844681717712	0.7528188907	1.643532945	0.5447489999
10	60	1.13576001538398	0.6714472746	1.672325811	0.5613725689
5	60	1.15587054604326	0.5873270116	1.698152310	0.5762835049
0	60	1.17888126928402	0.5000000000	1.720941127	0.5894406346
-5	60	1.20494121277909	0.4089656574	1.740527297	0.6007487151
-10	60	1.23424418749137	0.3136861668	1.756638255	0.6100503811
-15	60	1.26702602441934	0.2135955782	1.768875854	0.6171157618
-20	60	1.30355986376739	0.1081152583	1.776694479	0.6216298472
-25	60	1.34414860282340	-0.003321258819	1.779375923	0.6231779796
-30	60	1.38911258408898	-0.1212300333	1.776001981	0.6212300333
-35	60	1.43877070612243	-0.2460204414	1.765427606	0.6151249153
-40	60	1.49341295126874	-0.3779160696	1.746259630	0.6040582790
-45	60	1.55326246330101	-0.5168489732	1.716848973	0.5870780284

45	65	1.06354356194095	1.214215164	1.414215164	0.3330440007
40	65	1.06203029482889	1.142875293	1.466148940	0.3572611180
35	65	1.06386169125092	1.070035513	1.514095081	0.3796187708
30	65	1.06889803817924	0.9955655338	1.558344683	0.4002526990
25	65	1.07703912513176	0.9192715361	1.599130711	0.4192715361
20	65	1.08822587952895	0.8409034202	1.636624449	0.4367551535
15	65	1.10244091982163	0.7601602604	1.670931310	0.4527527053
10	65	1.11970869057484	0.6766947423	1.702085680	0.4672802266
5	65	1.14009508732152	0.5901171816	1.730044100	0.4803174519
0	65	1.16370652084842	0.5000000000	1.754676282	0.4918036270
-5	65	1.19068823823958	0.4058837553	1.775753600	0.5016321419
-10	65	1.22122208502325	0.3072860169	1.792935309	0.5096441042
-15	65	1.25552105614457	0.2037150209	1.805750595	0.5156199707
-20	65	1.29382278601746	0.09469020064	1.813579522	0.5192706589
-25	65	1.33637919086158	-0.02022785720	1.815632240	0.5202278572
-30	65	1.38344159708986	-0.1413951088	1.810928916	0.5180346613
-35	65	1.43524020799007	-0.2690265516	1.798283737	0.5121381173
-40	65	1.49195698404712	-0.4031213968	1.776298169	0.5018860787
-45	65	1.55369159698250	-0.5433706139	1.743370614	0.4865317076

45	70	1.05578190799572	1.222990032	1.422990032	0.2631468512
40	70	1.05301511985191	1.151996521	1.477019196	0.2828118589
35	70	1.05369897637442	1.079182637	1.527158528	0.3010610832
30	70	1.05773735647663	1.004404231	1.573653756	0.3179839624
25	70	1.06506769806072	0.9274607089	1.616692449	0.3336487652
20	70	1.07566231052891	0.8481010794	1.656399855	0.3481010794
15	70	1.08952907091250	0.7660290985	1.692834112	0.3613620643
10	70	1.10671146079459	0.6809079923	1.725980208	0.3734262566
5	70	1.12728791722431	0.5923654850	1.755742324	0.3842587810
0	70	1.15137035558375	0.5000000000	1.781934227	0.3937918540
-5	70	1.17910164274658	0.4033891046	1.804267587	0.4019205325
-10	70	1.21065172958688	0.3021014677	1.822338348	0.4084977516
-15	70	1.24621119550951	0.1957140018	1.835610805	0.4133285308
-20	70	1.28598263726476	0.08383598668	1.843401229	0.4161640133
-25	70	1.33016867895617	-0.03385793930	1.844862045	0.4166957069
-30	70	1.37895598371738	-0.1575840675	1.838969015	0.4145508193
-35	70	1.43249480242676	-0.2873938717	1.824514988	0.4092899837
-40	70	1.49087396285843	-0.4231060588	1.800114962	0.4004091004
-45	70	1.55409167085667	-0.5642281118	1.764228112	0.3873473552

45	75	1.05000644701573	1.229488399	1.429488399	0.1954658274
40	75	1.04626269177291	1.158789782	1.485115090	0.2103709543
35	75	1.04603910523970	1.086032960	1.536941804	0.2242578804
30	75	1.04927592452123	1.011058730	1.585179687	0.2371831822
25	75	1.05594321545900	0.9336569324	1.629980293	0.2491874684
20	75	1.06604170338603	0.8535720531	1.671431232	0.2602942141
15	75	1.07960298333118	0.7705083540	1.709550921	0.2705083540
10	75	1.09668905395737	0.6841350989	1.744282038	0.2798145289
5	75	1.11739105416330	0.5940926064	1.775483412	0.2881749117
0	75	1.14182699345814	0.5000000000	1.802920182	0.2955265721
-5	75	1.17013818692549	0.4014656942	1.826252269	0.3017783859
-10	75	1.20248454825700	0.2981017405	1.845021928	0.3068077010
-15	75	1.23903651957895	0.1895435316	1.858639314	0.3104564684
-20	75	1.27996542493548	0.07547626722	1.866369370	0.3125277307
-25	75	1.32543059839571	-0.04433056534	1.867320664	0.3127826293
-30	75	1.37556324894000	-0.1699797367	1.860438944	0.3109386779
-35	75	1.43044708838213	-0.3013936927	1.844508805	0.3066702100
-40	75	1.49009616792283	-0.4382539757	1.818167546	0.2996120910
-45	75	1.55443018203350	-0.5799350693	1.779935069	0.2893677297

45	80	1.04601672556215	1.233962576	1.433962576	0.1294174049
40	80	1.04157552785673	1.163486524	1.490712449	0.1394239388
35	80	1.04069715720560	1.090788512	1.543733436	0.1487729693
30	80	1.04334893552673	1.015696507	1.593212551	0.1574974722
25	80	1.04952596366706	0.9379913582	1.639275499	0.1656196127
20	80	1.05925136788564	0.8574122859	1.681982185	0.1731499538
15	80	1.07257591850710	0.7736621873	1.721321187	0.1800864813
10	80	1.08957694286204	0.6864133981	1.757202915	0.1864133981
5	80	1.11035637509089	0.5953146377	1.789451294	0.1920996572
0	80	1.13503771918706	0.5000000000	1.817793946	0.1970972315
-5	80	1.16376166328575	0.4001009732	1.841851101	0.2013391571
-10	80	1.19668009076889	0.2952625525	1.861123764	0.2047374475
-15	80	1.23394760007187	0.1851646644	1.874981469	0.2071809347
-20	80	1.27571091677999	0.06954999655	1.882651665	0.2085333973
-25	80	1.32209570068662	-0.05174098747	1.883212366	0.2086322640
-30	80	1.37319076285438	-0.1787275619	1.875590622	0.2072883449
-35	80	1.42903003069429	-0.3112393885	1.858569916	0.2042871352
-40	80	1.48957297432283	-0.4488621509	1.830809877	0.1993922914
-45	80	1.55468464485242	-0.5908815497	1.790881550	0.1923518500

45	85	1.04367557403775	1.236581923	1.436581923	0.06444256804
40	85	1.03881649571484	1.166243762	1.493998397	0.06946585864
35	85	1.03754310112911	1.093587867	1.547731328	0.07416688095
30	85	1.03983932773614	1.018433707	1.597953521	0.07856075350
25	85	1.04571594196274	0.9405558994	1.644775175	0.08265711741
20	85	1.05521033256095	0.8596896852	1.688239288	0.08645973456
15	85	1.06838567351154	0.7755364346	1.728315973	0.08996599020
10	85	1.08532935372302	0.6877698021	1.764895465	0.09316628103
5	85	1.10615050208931	0.5960432804	1.797779718	0.09604328040
0	85	1.13097637547225	0.5000000000	1.826672669	0.09857108603
-5	85	1.15994733436499	0.3992857239	1.851169444	0.1007142761
-10	85	1.19321033642753	0.2935660102	1.870745333	0.1024269446
-15	85	1.23090982926285	0.1825486207	1.884744677	0.1036517284
-20	85	1.27317683606122	0.06601204400	1.892372109	0.1043190423
-25	85	1.32011568572629	-0.05615940232	1.892687687	0.1043466518
-30	85	1.37178863524833	-0.1839339972	1.884608432	0.1036398085
-35	85	1.42819889012335	-0.3170856047	1.866919178	0.1020921993
-40	85	1.48927290405030	-0.4551434609	1.838295651	0.09958796520
-45	85	1.55484300934649	-0.5973422035	1.797342203	0.09600500281

45	90	1.04290370367721	1.237444281	1.437444281	0.000000000
40	90	1.03790540412222	1.167152734	1.495081667	0.000000000
35	90	1.03649994048863	1.094511942	1.549051045	0.000000000
30	90	1.03867684872534	1.019338424	1.599520537	0.000000000
25	90	1.04445222114567	0.9414045822	1.646595181	0.000000000
20	90	1.05386833715646	0.8604441997	1.690312300	0.000000000
15	90	1.06699265738259	0.7761580207	1.730635764	0.000000000
10	90	1.08391607334921	0.6882200509	1.767448953	0.000000000
5	90	1.10475023866782	0.5962853276	1.800546330	0.000000000
0	90	1.12962375362540	0.5000000000	1.829623754	0.000000000
-5	90	1.15867694837616	0.3990146500	1.854267833	0.000000000
-10	90	1.19205502424755	0.2930018174	1.873945030	0.000000000
-15	90	1.22989894657607	0.1816787291	1.887991156	0.000000000
-20	90	1.27233434553440	0.06483602478	1.895603196	0.000000000
-25	90	1.31945824935289	-0.05762715178	1.895835286	0.000000000
-30	90	1.37132387805717	-0.1856619390	1.887601315	0.000000000
-35	90	1.42792405553032	-0.3190235912	1.869686909	0.000000000
-40	90	1.48917415263352	-0.4572226940	1.840773584	0.000000000
-45	90	1.55489582088033	-0.5994773790	1.799477379	0.000000000


### -x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = 180 - dsigma = 180 - dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-90	45	1.55489581057595	-0.5994773717	1.799477372	1.346471444e-16
-90	40	1.62480392423704	-0.7446720173	1.744403831	1.524283602e-16
-90	35	1.69849676730854	-0.8913270992	1.674217723	1.703884279e-16
-90	30	1.77545096989670	-1.037585643	1.587725485	1.882999336e-16
-90	25	1.85502320112448	-1.181221972	1.483966681	2.058903107e-16
-90	20	1.93645873212601	-1.319675981	1.362307893	2.228460366e-16
-90	15	2.01890626207323	-1.450113699	1.222531391	2.388200500e-16
-90	10	2.10143665319703	-1.569511109	1.064910645	2.534420155e-16
-90	5	2.18306532031697	-1.674758098	0.8902666795	2.663310543e-16
-90	-2.84217e-14	2.26277667331596	-1.762776673	0.7000000000	2.771102210e-16
-90	-5	2.33954890196127	-1.830646212	0.4960948778	2.854218424e-16
-90	-10	2.41237774609868	-1.875728308	0.2810950005	2.909428067e-16
-90	-15	2.48029825630940	-1.895784143	0.05805157373	2.933989382e-16
-90	-20	2.54240395145988	-1.889078232	-0.1695533639	2.925777010e-16
-90	-25	2.59786320478490	-1.854463652	-0.3979044318	2.883386375e-16
-90	-30	2.64593298690482	-1.791445183	-0.6229664935	2.806211009e-16
-90	-35	2.68597005900954	-1.700217865	-0.8406091346	2.694489765e-16
-90	-40	2.71743969188986	-1.581679575	-1.046736564	2.549322229e-16
-90	-45	2.73992221759903	-1.437417580	-1.237417580	2.372652238e-16

-85	45	1.55484299418656	-0.5973421928	1.797342193	0.09600500188
-85	40	1.62456234358773	-0.7417014003	1.741911187	0.1086347960
-85	35	1.69799442560952	-0.8873573719	1.671438090	0.1213780423
-85	30	1.77461525143052	-1.032469461	1.584771656	0.1340737050
-85	25	1.85378671298415	-1.174844569	1.480992849	0.1465299130
-85	20	1.93476544806437	-1.311971671	1.359503753	0.1585269798
-85	15	2.01671798031775	-1.441081170	1.220111132	0.1698225973
-85	10	2.09873810471209	-1.559224403	1.063096822	0.1801587909
-85	5	2.17986770797063	-1.663371579	0.8892704882	0.1892704882
-85	-2.84217e-14	2.25911925666554	-1.750522626	0.7000000000	0.1968952168
-85	-5	2.33549835093749	-1.817824489	0.4972166332	0.2027833668
-85	-10	2.40802527302919	-1.862688509	0.2833942688	0.2067084600
-85	-15	2.47575472957556	-1.882901791	0.06150338952	0.2084768930
-85	-20	2.53779333533203	-1.876727181	-0.1650579489	0.2079366846
-85	-25	2.59331480006156	-1.842987561	-0.3925530428	0.2049848504
-85	-30	2.64157320001900	-1.781131223	-0.6170117255	0.1995731220
-85	-35	2.68191440272111	-1.691275579	-0.8343476785	0.1917117718
-85	-40	2.71378552817648	-1.574227132	-1.040483221	0.1814713596
-85	-45	2.73674273506235	-1.431476866	-1.231476866	0.1689823297

-80	45	1.55468461259730	-0.5908815270	1.790881527	0.1923518460
-80	40	1.62383651183459	-0.7327360917	1.734388400	0.2173646331
-80	35	1.69648788365303	-0.8754083414	1.663071289	0.2425216001
-80	30	1.77211408230053	-1.017109459	1.575903555	0.2675073304
-80	25	1.85009355107866	-1.155745168	1.472086652	0.2919525463
-80	20	1.92971682708056	-1.288949822	1.351124486	0.3154401208
-80	15	2.01020299018584	-1.414142271	1.212892876	0.3375149273
-80	10	2.09071267048887	-1.528592423	1.057695577	0.3576955770
-80	5	2.17036444703863	-1.629502210	0.8863073023	0.3754886951
-80	-2.84217e-14	2.24825197639796	-1.714095977	0.7000000000	0.3904048586
-80	-5	2.32346030797259	-1.779715680	0.5005507220	0.4019753827
-80	-10	2.39508131338021	-1.823917520	0.2902306402	0.4097693598
-80	-15	2.46222782344157	-1.844566385	0.07177533055	0.4134103117
-80	-20	2.52404637176023	-1.839924825	-0.1516629866	0.4125918794
-80	-25	2.57972855009188	-1.808733566	-0.3765801423	0.4070920189
-80	-30	2.62852262839080	-1.750282069	-0.5992009583	0.3967854430
-80	-35	2.66974540962224	-1.664465860	-0.8155753113	0.3816537299
-80	-40	2.70279326209990	-1.551826510	-1.021686868	0.3617923734
-80	-45	2.72715314110018	-1.413572025	-1.213572025	0.3374143776

-75	45	1.55443011395511	-0.5799350220	1.779935022	0.2893677170
-75	40	1.62263300766770	-0.7176231359	1.721707124	0.3262611359
-75	35	1.69398763114413	-0.8553690834	1.649039649	0.3631700514
-75	30	1.76797213641332	-0.9914790146	1.561105811	0.3996405975
-75	25	1.84399550804782	-1.124026233	1.457295869	0.4351565176
-75	20	1.92140703895342	-1.250883480	1.337269470	0.4691478144
-75	15	1.99950812494930	-1.369766294	1.201002369	0.5010023686
-75	10	2.07756473099090	-1.478285025	1.048825025	0.5300798748
-75	5	2.15481469874616	-1.573998584	0.8814513643	0.5557262458
-75	-2.84217e-14	2.23047772220060	-1.654476037	0.7000000000	0.5772901142
-75	-5	2.30376244340785	-1.717360058	0.5060061319	0.5941398370
-75	-10	2.37387343927909	-1.760434154	0.3014244705	0.6056815062
-75	-15	2.44001735292042	-1.781692256	0.08862240271	0.6113775973
-75	-20	2.50140912473347	-1.779410778	-0.1296376747	0.6107662771
-75	-25	2.55727584533115	-1.752219726	-0.3502273060	0.6034804567
-75	-30	2.60686493238402	-1.699177385	-0.5696956555	0.5892678044
-75	-35	2.64945642930059	-1.619845072	-0.7843314994	0.5680107752
-75	-40	2.68437421030332	-1.514353294	-0.9902431060	0.5397443384
-75	-45	2.71100067473678	-1.383458476	-1.183458476	0.5046711776

-70	45	1.55409155619296	-0.5642280333	1.764228033	0.3873473266
-70	40	1.62095934171499	-0.6961048814	1.703651165	0.4353465739
-70	35	1.69050960119995	-0.8270577885	1.629215867	0.4830095342
-70	30	1.76223188730026	-0.9555413957	1.540357217	0.5297737428
-70	25	1.83558247172701	-1.079866325	1.436703766	0.5750243166
-70	20	1.90999157145793	-1.198224103	1.318103025	0.6181030247
-70	15	1.98487068546727	-1.308714771	1.184643662	0.6583183390
-70	10	2.05961966168035	-1.409376638	1.036674618	0.6949562623
-70	5	2.13362761413113	-1.498212650	0.8748209542	0.7272899262
-70	-2.84217e-14	2.20627322615913	-1.573218670	0.7000000000	0.7545898850
-70	-5	2.27692105416349	-1.632411683	0.5134381517	0.7761343800
-70	-10	2.34492027597804	-1.673865436	0.3166888713	0.7912223119
-70	-15	2.40960135718488	-1.695750887	0.1116503232	0.7991879646
-70	-20	2.47027790012071	-1.696389520	-0.09942040829	0.7994204083
-70	-25	2.52623704483954	-1.674305377	-0.3138952482	0.7913824373
-70	-30	2.57674118082785	-1.628297349	-0.5287730476	0.7746368848
-70	-35	2.62104218475929	-1.557530133	-0.7406981095	0.7488797246
-70	-40	2.65838713520912	-1.461622199	-0.9459964641	0.7139720915
-70	-45	2.68803479591273	-1.340742248	-1.140742248	0.6699753871

-65	45	1.55369139221958	-0.5433704764	1.743370476	0.4865316435
-65	40	1.61883089682530	-0.6678250439	1.679921564	0.5445657614
-65	35	1.68607909143911	-0.7902322794	1.603430368	0.6016451927
-65	30	1.75495348081421	-0.9092597566	1.513636500	0.6571486168
-65	25	1.82497575857915	-1.023521024	1.410429521	0.7104295209
-65	20	1.89567938314371	-1.131591098	1.293850594	0.7608234242
-65	15	1.96660556747104	-1.232010201	1.164090735	0.8076496209
-65	10	2.03730854693277	-1.323293627	1.021495860	0.8502157816
-65	5	2.10734445091941	-1.403926911	0.8665720209	0.8878156990
-65	-2.84217e-14	2.17626798606207	-1.472368622	0.7000000000	0.9197305934
-65	-5	2.24361987821611	-1.527047957	0.5226562834	0.9452279857
-65	-10	2.30891503732574	-1.566368435	0.3356434928	0.9635634259
-65	-15	2.37163256076338	-1.588721733	0.1403286984	0.9739869399
-65	-20	2.43120683684020	-1.592513886	-0.06161276945	0.9757552500
-65	-25	2.48701528425243	-1.576202961	-0.2681493404	0.9681493404
-65	-30	2.53837087255875	-1.538358257	-0.4768466883	0.9505020652
-65	-35	2.58452241848775	-1.477744857	-0.6848318573	0.9222375726
-65	-40	2.62465839912428	-1.393429274	-0.8887758057	0.8829205708
-65	-45	2.65791487682795	-1.284903955	-1.084903955	0.8323143834

-60	45	1.55326214574644	-0.5168487653	1.716848765	0.5870779084
-60	40	1.61627251356780	-0.6323329428	1.650140155	0.6537527294
-60	35	1.68073599776030	-0.7446059149	1.571482444	0.7185735600
-60	30	1.74622130620274	-0.8526172075	1.480933909	0.7809339089
-60	25	1.81233687994325	-0.9553396760	1.378636036	0.8402407537
-60	20	1.87873486342963	-1.051768746	1.264797634	0.8959141030
-60	15	1.94510252138013	-1.140907983	1.139679969	0.9473786655
-60	10	2.01115269335251	-1.221750764	1.003591114	0.9940532671
-60	5	2.07661307864783	-1.293259763	0.8568899000	1.035339007
-60	-2.84217e-14	2.14121495875927	-1.354346549	0.7000000000	1.070607479
-60	-5	2.20467796428066	-1.403850228	0.5334346880	1.099188442
-60	-10	2.26669371175248	-1.440519804	0.3578340020	1.120359631
-60	-15	2.32690292217555	-1.462998628	0.1740161030	1.133337786
-60	-20	2.38488601340550	-1.469831747	-0.01696012228	1.137282889
-60	-25	2.44014266550236	-1.459479209	-0.2137201612	1.131305849
-60	-30	2.49207479873944	-1.430352839	-0.4144897310	1.114489731
-60	-35	2.53997375239516	-1.380882161	-0.6170078678	1.085927822
-60	-40	2.58301192821051	-1.309614080	-0.8184465073	1.044781176
-60	-45	2.62023676276265	-1.215347615	-1.015347615	0.9903564072

-55	45	1.55285320302345	-0.4840233135	1.684023313	0.6890205419
-55	40	1.61332565938289	-0.5890962005	1.613860220	0.7625933695
-55	35	1.67454279893512	-0.6898711279	1.533156733	0.8331567333
-55	30	1.73615004357317	-0.7856407052	1.442265007	0.9002153132
-55	25	1.79786698962407	-0.8757753333	1.341534574	0.9633282593
-55	20	1.85947426095340	-0.9596958211	1.231285830	1.022090017
-55	15	1.92080493236301	-1.036846889	1.111796883	1.076111777
-55	10	1.98173082273201	-1.106665824	0.9832985338	1.124999522
-55	5	2.04214254443597	-1.168545827	0.8459788445	1.168328366
-55	-2.84217e-14	2.10193654152798	-1.221805615	0.7000000000	1.205621271
-55	-5	2.16099932138325	-1.265658529	0.5455248951	1.236327412
-55	-10	2.21918994104053	-1.299183116	0.3827554735	1.259801580
-55	-15	2.27631925617229	-1.321295910	0.2119852318	1.275285125
-55	-20	2.33213003162005	-1.330732768	0.03366776541	1.281892885
-55	-25	2.38627362885917	-1.326039644	-0.1514962700	1.278606724
-55	-30	2.43828427981098	-1.305579842	-0.3424520077	1.264280616
-55	-35	2.48755247640258	-1.267567167	-0.5376638545	1.237663855
-55	-40	2.53329936739028	-1.210136264	-0.7349747084	1.197450303
-55	-45	2.57455505222651	-1.131462773	-0.9314627734	1.142362532

-50	45	1.55253857635926	-0.4441303838	1.644130384	0.7922194568
-50	40	1.61005657271723	-0.5375212244	1.570583677	0.8705836767
-50	35	1.66759126282364	-0.6257288929	1.488243857	0.9445986988
-50	30	1.72489302155208	-0.7084306172	1.397687742	1.013993685
-50	25	1.78180551444444	-0.7853949769	1.299389521	1.078574451
-50	20	1.83824894281471	-0.8564427418	1.193704782	1.138190604
-50	15	1.89419649111546	-0.9214042612	1.080864124	1.192699791
-50	10	1.94966038174240	-0.9800854036	0.9609789904	1.241939116
-50	5	2.00467507861825	-1.032232889	0.8340530076	1.285696052
-50	-2.84217e-14	2.05928339649499	-1.077502603	0.7000000000	1.323681852
-50	-5	2.11351712558486	-1.115424108	0.5586687038	1.355501773
-50	-10	2.16738681089174	-1.145372503	0.4098764344	1.380631461
-50	-15	2.22086256999737	-1.166534351	0.2534534664	1.398388360
-50	-20	2.27385356160312	-1.177875117	0.08930340070	1.407904392
-50	-25	2.32618308478040	-1.178109102	-0.08251512565	1.408100729
-50	-30	2.37755735630532	-1.165676113	-0.2616785522	1.397668212
-50	-35	2.42752822711592	-1.138734098	-0.4474539684	1.375061177
-50	-40	2.47545003247534	-1.095181183	-0.6385159424	1.338515942
-50	-45	2.52043261809085	-1.032726498	-0.8327264980	1.286110239

-45	45	1.55242594490113	-0.3962935372	1.596293537	0.8962935372
-45	40	1.60656629602666	-0.4769857424	1.519788376	0.9769857424
-45	35	1.66000829354826	-0.5519261307	1.436566606	1.051926131
-45	30	1.71263574487642	-0.6211832770	1.347315467	1.121183277
-45	25	1.76443045329079	-0.6848908039	1.252523656	1.184890804
-45	20	1.81544411663369	-0.7431999351	1.152487772	1.243199935
-45	15	1.86577819060200	-0.7962430367	1.047327275	1.296243037
-45	10	1.91556665016483	-0.8441030133	0.9370016261	1.344103013
-45	5	1.96495733058953	-0.8867834849	0.8213278337	1.386783485
-45	-2.84217e-14	2.01410680088933	-0.9241885769	0.7000000000	1.424188577
-45	-5	2.06316719540452	-0.9560958391	0.5726081211	1.456095839
-45	-10	2.11227654925053	-0.9821292041	0.4386606324	1.482129204
-45	-15	2.16154396642920	-1.001725301	0.2976139183	1.501725301
-45	-20	2.21103463915808	-1.014096796	0.1489138345	1.514096796
-45	-25	2.26074923235783	-1.018190173	-0.007943704240	1.518190173
-45	-30	2.31059185258559	-1.012637438	-0.1733216319	1.512637438
-45	-35	2.36032815472892	-0.9957099146	-0.3473073572	1.495709915
-45	-40	2.40953087791304	-0.9652848871	-0.5295200083	1.465284887
-45	-45	2.45750866629784	-0.9188432900	-0.7188432900	1.418843290


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.73992223127470	-1.437417590	-1.237417590	2.372652250e-16
-40	-90	2.75311805088193	-1.269670171	-1.409010784	2.582793306e-16
-35	-90	2.75685258596161	-1.081265682	-1.558281432	2.765597127e-16
-30	-90	2.75107653805023	-0.8755382690	-1.682502170	2.917723656e-16
-25	-90	2.73586650487640	-0.6562271466	-1.779537118	3.036557195e-16
-20	-90	2.71142434809482	-0.4273617442	-1.847905452	3.120284256e-16
-15	-90	2.67807509718404	-0.1931368394	-1.886821901	3.167943161e-16
-10	-90	2.63626330315766	0.04221768156	-1.896212540	3.179443377e-16
-5	-90	2.58654769630492	0.2745675144	-1.876705101	3.155553655e-16
-2.84217e-14	-90	2.52959396181648	0.5000000000	-1.829593962	3.097859148e-16
5	-90	2.46616539405804	0.7149404767	-1.756780890	3.008688853e-16
10	-90	2.39711116749741	0.9162539859	-1.660693663	2.891015938e-16
15	-90	2.32335200215274	1.101327747	-1.544185702	2.748334837e-16
20	-90	2.24586307105825	1.268130409	-1.410420955	2.584520268e-16
25	-90	2.16565411978774	1.415244980	-1.262749193	2.403674516e-16
30	-90	2.08374717120344	1.541873586	-1.104577985	2.209970654e-16
35	-90	2.00115266763303	1.647814016	-0.9392482986	2.007500182e-16
40	-90	1.91884517034272	1.733409900	-0.7699206799	1.800133656e-16
45	-90	1.83773941616681	1.799478003	-0.5994780032	1.591401577e-16

-45	-85	2.73674275642579	-1.431476881	-1.231476881	0.1689823310
-40	-85	2.74934460911999	-1.263288997	-1.401405997	0.1838492022
-35	-85	2.75252619582334	-1.074745329	-1.548969403	0.1967593274
-30	-85	2.74626838717616	-0.8692097070	-1.671540779	0.2074829332
-25	-85	2.73067459034032	-0.6504221672	-1.767088299	0.2158422581
-20	-85	2.70596818599553	-0.4223837324	-1.834228477	0.2217162625
-15	-85	2.67248889179383	-0.1892343085	-1.872257458	0.2250433672
-10	-85	2.63068807046943	0.04487199968	-1.881159154	0.2258221647
-5	-85	2.58112291017657	0.2758898894	-1.861590286	0.2241101106
-2.84217e-14	-85	2.52444935037790	0.5000000000	-1.814843058	0.2200202582
5	-85	2.46141350998073	0.7137161512	-1.742786786	0.2137161512
10	-85	2.39284129015950	0.9139787927	-1.647790401	0.2054050444
15	-85	2.31962584136948	1.098231004	-1.532628501	0.1953296837
20	-85	2.24271263761074	1.264473753	-1.400374373	0.1837589468
25	-85	2.16308181916798	1.411297627	-1.254284068	0.1709777012
30	-85	2.08172802609946	1.537889171	-1.097676777	0.1572763387
35	-85	1.99963847655586	1.644011401	-0.9338176026	0.1429405185
40	-85	1.91777036203706	1.729959812	-0.7658090245	0.1282416725
45	-85	1.83702797133204	1.796496373	-0.5964963728	0.1134287349

-45	-80	2.72715318521213	-1.413572056	-1.213572056	0.3374143831
-40	-80	2.73799360731667	-1.244109586	-1.378548865	0.3665042456
-35	-80	2.73954488678973	-1.055199451	-1.521054996	0.3916319214
-30	-80	2.73187550478844	-0.8502852269	-1.638762618	0.4123869510
-25	-80	2.71516575784394	-0.6331012086	-1.729943384	0.4284645801
-20	-80	2.68969960889637	-0.4075576533	-1.793494159	0.4396702965
-15	-80	2.65585708160108	-0.1776281712	-1.828942764	0.4459208419
-10	-80	2.61410699753902	0.05275800250	-1.836435409	0.4472419975
-5	-80	2.56500014527061	0.2798165842	-1.816707959	0.4437635157
-2.84217e-14	-80	2.50916290316393	0.5000000000	-1.771043081	0.4357115656
5	-80	2.44729101444793	0.7100790895	-1.701214981	0.4233989876
10	-80	2.38014295532000	0.9072135879	-1.609423018	0.4072135879
15	-80	2.30853231208208	1.089010056	-1.498215456	0.3876046943
20	-80	2.23331898465909	1.253565837	-1.370405121	0.3650682838
25	-80	2.15539754991532	1.399497042	-1.228977632	0.3401308018
30	-80	2.07568292432401	1.525948651	-1.076995189	0.3133321965
35	-80	1.99509392073674	1.632585556	-0.9174998047	0.2852088569
40	-80	1.91453579995144	1.719564659	-0.7534205643	0.2562772598
45	-80	1.83488080326241	1.787487865	-0.5874878650	0.2270188479

-45	-75	2.71100074826153	-1.383458527	-1.183458527	0.5046711913
-40	-75	2.71897334761284	-1.212028799	-1.340316472	0.5467011510
-35	-75	2.71790116539807	-1.022676979	-1.474608093	0.5826844823
-30	-75	2.70798911958748	-0.8189490478	-1.584486763	0.6121263834
-25	-75	2.68953417739119	-0.6045434299	-1.668701029	0.6346915280
-20	-75	2.66290825906739	-0.3832017898	-1.726576974	0.6501993406
-15	-75	2.62854657085217	-0.1586160073	-1.757988402	0.6586160073
-10	-75	2.58693773899825	0.06565077898	-1.763316841	0.6600437581
-5	-75	2.53861652373533	0.2862296782	-1.743405960	0.6547086536
-2.84217e-14	-75	2.48415928815198	0.5000000000	-1.699513613	0.6429477348
5	-75	2.42418169338627	0.7041340612	-1.633262996	0.6251959356
10	-75	2.35933763061267	0.8961349539	-1.546592962	0.6019727699
15	-75	2.29031785248287	1.073868470	-1.441706288	0.5738684702
20	-75	2.21785082610227	1.235590425	-1.321018084	0.5415301634
25	-75	2.14269880530797	1.379967954	-1.187097368	0.5056462157
30	-75	2.06565143632241	1.506093036	-1.042604256	0.4669294030
35	-75	1.98751809146722	1.613487158	-0.8902244647	0.4260993611
40	-75	1.90911928355031	1.702096077	-0.7326023185	0.3838646343
45	-75	1.83126884682059	1.772267788	-0.5722677878	0.3409031263

-45	-70	2.68803489890329	-1.340742318	-1.140742318	0.6699754128
-40	-70	2.69213732373602	-1.166893605	-1.286526442	0.7230364946
-35	-70	2.68758843218687	-0.9772763276	-1.409769243	0.7678932055
-30	-70	2.67476330784032	-0.7755169536	-1.509260170	0.8041049415
-25	-70	2.65409887069095	-0.5652120864	-1.584354691	0.8314371121
-20	-70	2.62606331089129	-0.3498349939	-1.634902456	0.8498349939
-15	-70	2.59114576339747	-0.1326771721	-1.661183351	0.8594004574
-10	-70	2.54984511161710	0.08319094348	-1.663841624	0.8603679898
-5	-70	2.50266422162998	0.2949416551	-1.643827607	0.8530834833
-2.84217e-14	-70	2.45010897907499	0.5000000000	-1.602349328	0.8379866242
5	-70	2.39269120163723	0.6960475934	-1.540834246	0.8155969654
10	-70	2.33093430388953	0.8810249194	-1.460899698	0.7865031693
15	-70	2.26537551019703	1.053134213	-1.364324985	0.7513528483
20	-70	2.19658121939580	1.210847899	-1.253038551	0.7108478990
25	-70	2.12514813944931	1.352919802	-1.129092418	0.6657351960
30	-70	2.05170401211594	1.478398067	-0.9946351629	0.6167967572
35	-70	1.97691527770046	1.586643366	-0.8518875578	0.5648408780
40	-70	1.90148473102219	1.677344376	-0.7031043902	0.5106882336
45	-70	1.82614075711734	1.750524899	-0.5505248991	0.4551538405

-45	-65	2.65791495867991	-1.284904010	-1.084904010	0.8323144091
-40	-65	2.65730553624394	-1.108537989	-1.216980928	0.8939028872
-35	-65	2.64862810717384	-0.9191807952	-1.326800224	0.9451124659
-30	-65	2.63244496873038	-0.7204615870	-1.413901477	0.9857284475
-25	-65	2.60932523927113	-0.5157623579	-1.478309406	1.015762358
-20	-65	2.57982216012244	-0.3081687951	-1.520425516	1.035401422
-15	-65	2.54445972107039	-0.1004560350	-1.540932430	1.044963954
-10	-65	2.50372521830908	0.1049016266	-1.540714222	1.044862201
-5	-65	2.45806834064097	0.3057055121	-1.520796159	1.035574256
-2.84217e-14	-65	2.40790548043156	0.5000000000	-1.482303487	1.017624829
5	-65	2.35362799138815	0.6860391502	-1.426437218	0.9915739591
10	-65	2.29561313741973	0.8622574114	-1.354463871	0.9580122366
15	-65	2.23423626769820	1.027247745	-1.267715373	0.9175607476
20	-65	2.16988596749862	1.179750006	-1.167597791	0.8708751525
25	-65	2.10297192365282	1.318648319	-1.055596985	0.8186483186
30	-65	2.03394278720333	1.442982312	-0.9332932744	0.7616171619
35	-65	1.96329526383647	1.551967593	-0.8023654206	0.7005645010
40	-65	1.89158652525650	1.645027828	-0.6645910276	0.6363192464
45	-65	1.81942822834613	1.721824171	-0.5218241711	0.5697459679

-45	-60	2.62023686726584	-1.215347683	-1.015347683	0.9903564467
-40	-60	2.61429690833676	-1.036837661	-1.131531803	1.057435380
-35	-60	2.60110046895622	-0.8487028278	-1.226147255	1.112061636
-30	-60	2.58138239139926	-0.6544293006	-1.299530202	1.154429301
-25	-60	2.55581623917269	-0.4570345452	-1.352367205	1.184934759
-20	-60	2.52500304569632	-0.2590830263	-1.385563474	1.204100633
-15	-60	2.48946518724806	-0.06273022316	-1.400137784	1.212515115
-10	-60	2.44964706035202	0.1302165013	-1.397146433	1.210788058
-5	-60	2.40592153063426	0.3182305638	-1.377634162	1.199522643
-2.84217e-14	-60	2.35860042575215	0.5000000000	-1.342607886	1.179300213
5	-60	2.30794763311159	0.6743674241	-1.293028778	1.150675701
10	-60	2.25419430951685	0.8402791659	-1.229819047	1.114181547
15	-60	2.19755411454528	0.9967452944	-1.153878677	1.070337353
20	-60	2.13823787305806	1.142811136	-1.066109080	1.019663553
25	-60	2.07647052759823	1.277541827	-0.9674438281	0.9626991430
30	-60	2.01251532388872	1.400024214	-0.8588876667	0.9000242140
35	-60	1.94668978064150	1.509382776	-0.7415479996	0.8322781256
40	-60	1.87937814703977	1.604809139	-0.6166602600	0.7601741555
45	-60	1.81104965095292	1.685610302	-0.4856103018	0.6845124269

-45	-55	2.57455508664554	-1.131462795	-0.9314627952	1.142362548
-40	-55	2.56295811420673	-0.9517747567	-1.030157782	1.211469521
-35	-55	2.54517168357390	-0.7663318769	-1.108509346	1.266331877
-30	-55	2.52205047393338	-0.5782649922	-1.167609751	1.307714426
-25	-55	2.49431911760072	-0.3900502436	-1.208718907	1.336499367
-20	-55	2.46256943914097	-0.2036011607	-1.233128301	1.353591009
-15	-55	2.42727570964332	-0.02037796966	-1.242077022	1.359856971
-10	-55	2.38880469591968	0.1585081787	-1.236696357	1.356089389
-5	-55	2.34743081274580	0.3321981791	-1.217983589	1.342986567
-2.84217e-14	-55	2.30335238016053	0.5000000000	-1.186795811	1.321148650
5	-55	2.25670738317065	0.6613166216	-1.143857422	1.291082866
10	-55	2.20759183970211	0.8155865187	-1.089780086	1.253217508
15	-55	2.15606850758528	0.9622344911	-1.025082606	1.207915845
20	-55	2.10218895259080	1.100633860	-0.9502279670	1.155502062
25	-55	2.04601215965540	1.230080449	-0.8656625753	1.096288737
30	-55	1.98762669007661	1.349780090	-0.7718622903	1.030609071
35	-55	1.92716273955334	1.458845969	-0.6693739593	0.9588459689
40	-55	1.86482638308766	1.556321542	-0.5588749932	0.8814737599
45	-55	1.80091991897689	1.641220035	-0.4412200346	0.7990908710

-45	-50	2.52043251625240	-1.032726436	-0.8327264360	1.286110187
-40	-50	2.50321682280566	-0.8535298959	-0.9130741161	1.353529896
-35	-50	2.48113383803843	-0.6727924878	-0.9749212537	1.405425806
-30	-50	2.45507044335722	-0.4930311811	-1.019980459	1.443234969
-25	-50	2.42572034930473	-0.3159989110	-1.049915312	1.468353293
-20	-50	2.39360456084111	-0.1428585332	-1.066239304	1.482050749
-15	-50	2.35910006902889	0.02565819585	-1.070267713	1.485430985
-10	-50	2.32246472633678	0.1891179073	-1.063099960	1.479416527
-5	-50	2.28385953322317	0.3472778743	-1.045621885	1.464750680
-2.84217e-14	-50	2.24336898564707	0.5000000000	-1.018520345	1.442009788
5	-50	2.20101427730941	0.6471822476	-0.9823007877	1.411617970
10	-50	2.15677016927742	0.7887024359	-0.9373128759	1.373868630
15	-50	2.11057798576087	0.9243717266	-0.8837768450	1.328946567
20	-50	2.06236023854384	1.053895117	-0.8218143263	1.276953840
25	-50	2.01203652235219	1.176837959	-0.7514836878	1.217939427
30	-50	1.95953611542908	1.292596591	-0.6728175648	1.151930712
35	-50	1.90482408547975	1.400380037	-0.5858759558	1.078978040
40	-50	1.84792811229195	1.499204672	-0.4908057581	0.9992046724
45	-50	1.78896438492035	1.587905742	-0.3879057417	0.9128613066

-45	-45	2.45750856893834	-0.9188432338	-0.7188432338	1.418843234
-40	-45	2.43514317709797	-0.7425892886	-0.7808602488	1.480860249
-35	-45	2.40944398974308	-0.5691006724	-0.8268339943	1.526833994
-30	-45	2.38121657127352	-0.4000152665	-0.8588721691	1.558872169
-25	-45	2.35103355166762	-0.2362158428	-0.8788199698	1.578819970
-20	-45	2.31928049141237	-0.07806574804	-0.8882225897	1.588222590
-15	-45	2.28619761683486	0.07440879515	-0.8883279997	1.588328000
-10	-45	2.25191384971744	0.2213841428	-0.8801090454	1.580109045
-5	-45	2.21647231343212	0.3631421761	-0.8642920847	1.564292085
-2.84217e-14	-45	2.17984873967364	0.5000000000	-0.8413858258	1.541385826
5	-45	2.14196577934367	0.6322573594	-0.8117085352	1.511708535
10	-45	2.10270448316822	0.7601550730	-0.7754127357	1.475412736
15	-45	2.06191522136892	0.8838395145	-0.7325085702	1.432508570
20	-45	2.01942349360024	1.003328320	-0.6828831927	1.382883193
25	-45	1.97503967167551	1.118475009	-0.6263239364	1.326323936
30	-45	1.92857274042116	1.228931979	-0.5625472237	1.262547224
35	-45	1.87984698741115	1.334111806	-0.4912351134	1.191235113
40	-45	1.82872294088287	1.433149048	-0.4120837307	1.112083731
45	-45	1.77513457493084	1.524874425	-0.3248744247	1.024874425