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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	2.45752337314478	-0.9188517810	-0.7188517810	1.418851781
-40	-45	2.43515915479516	-0.7425974416	-0.7808699651	1.480869965
-35	-45	2.40946188401427	-0.5691086123	-0.8268453336	1.526845334
-30	-45	2.38123631020242	-0.4000227271	-0.8588850913	1.558885091
-25	-45	2.35105401827725	-0.2362222518	-0.8788337140	1.578833714
-20	-45	2.31930167177992	-0.07807102711	-0.8882370938	1.588237094
-15	-45	2.28622043395196	0.07440454759	-0.8883438519	1.588343852
-10	-45	2.25193907612932	0.2213810217	-0.8801267461	1.580126746
-5	-45	2.21649975408707	0.3631404818	-0.8643114511	1.564311451
0	-45	2.17987731411669	0.5000000000	-0.8414060310	1.541406031
5	-45	2.14199444374551	0.6322591293	-0.8117287653	1.511728765
10	-45	2.10273433076920	0.7601587659	-0.7754336790	1.475433679
15	-45	2.06194653691658	0.8838453441	-0.7325303265	1.432530327
20	-45	2.01945590595756	1.003336398	-0.6829053884	1.382905388
25	-45	1.97507397575763	1.118485751	-0.6263469730	1.326346973
30	-45	1.92861126962292	1.228946542	-0.5625724470	1.262572447
35	-45	1.87989088472251	1.334131284	-0.4912629306	1.191262931
40	-45	1.82877352357780	1.433174859	-0.4121144911	1.112114491
45	-45	1.77519542827452	1.524909558	-0.3249095584	1.024909558

-45	-40	2.40954973377370	-0.9652963537	-0.5295296300	1.465296354
-40	-40	2.38560522189644	-0.7899353976	-0.5899353976	1.537285144
-35	-40	2.35818329643542	-0.6146757230	-0.6357810892	1.591921912
-30	-40	2.32807567561291	-0.4416641156	-0.6685799666	1.631010092
-25	-40	2.29586939884434	-0.2723177693	-0.6897510454	1.656240801
-20	-40	2.26198561842278	-0.1075091854	-0.7005561043	1.669117769
-15	-40	2.22671298574367	0.05227712938	-0.7020721324	1.670924501
-10	-40	2.19023232314861	0.2068183639	-0.6951841159	1.662715682
-5	-40	2.15264006684122	0.3560525452	-0.6805932263	1.645326937
0	-40	2.11396892681808	0.5000000000	-0.6588330334	1.619394149
5	-40	2.07420594904807	0.6387025503	-0.6302895953	1.585377404
10	-40	2.03330049068559	0.7721749461	-0.5952180996	1.543580823
15	-40	1.99117593927926	0.9003636810	-0.5537638721	1.494177599
20	-40	1.94774606866302	1.023112799	-0.5059880593	1.437240602
25	-40	1.90292118755816	1.140132164	-0.4518890016	1.372767856
30	-40	1.85662550703789	1.250971128	-0.3914337970	1.300720149
35	-40	1.80881216661733	1.354996731	-0.3245925708	1.221061877
40	-40	1.75947914440771	1.451378882	-0.2513788823	1.133809201
45	-40	1.70870513338177	1.539098453	-0.1719071289	1.039098453

-45	-35	2.36034885424574	-0.9957230317	-0.3473165418	1.495723032
-40	-35	2.33429395995251	-0.8222490945	-0.4033836138	1.575795109
-35	-35	2.30477169773345	-0.6467225919	-0.4467225919	1.637689584
-30	-35	2.27254069563430	-0.4715908150	-0.4783405136	1.682844656
-25	-35	2.23819792852644	-0.2986582781	-0.4992651997	1.712728205
-20	-35	2.20219236253338	-0.1292066643	-0.5104705494	1.728731102
-15	-35	2.16485119354880	0.03588260936	-0.5128362567	1.732109683
-10	-35	2.12640324480928	0.1960198052	-0.5071279336	1.723957352
-5	-35	2.08699793470243	0.3508147496	-0.4939905438	1.705195215
0	-35	2.04672682702942	0.5000000000	-0.4739542796	1.676580464
5	-35	2.00563435075346	0.6433691227	-0.4474416957	1.638716571
10	-35	1.96373372827928	0.7807257573	-0.4147828350	1.592074884
15	-35	1.92102314600580	0.9118436651	-0.3762340287	1.537021483
20	-35	1.87748819774338	1.036432741	-0.3319916683	1.473836844
25	-35	1.83312387803917	1.154115323	-0.2822195105	1.402754836
30	-35	1.78793883136759	1.264406530	-0.2270684415	1.323990947
35	-35	1.74197653009148	1.366707902	-0.1667079015	1.237787162
40	-35	1.69531983355080	1.460305409	-0.1013507110	1.144447421
45	-35	1.64811819580052	1.544391527	-0.03129082012	1.044391527

-45	-30	2.31061433071971	-1.012652153	-0.1733301278	1.512652153
-40	-30	2.28201542951836	-0.8415030417	-0.2230335868	1.598741069
-35	-30	2.25007594716364	-0.6666922631	-0.2619863475	1.666209230
-30	-30	2.21552545300718	-0.4908131038	-0.2908131038	1.716138637
-25	-30	2.17896287301005	-0.3159204524	-0.3102169343	1.749747057
-20	-30	2.14086401014382	-0.1436006224	-0.3209158816	1.768278177
-15	-30	2.10159106344275	0.02494663746	-0.3235977360	1.772923285
-10	-30	2.06141612352693	0.1888214311	-0.3188969934	1.764781360
-5	-30	2.02053919114932	0.3473465303	-0.3073821942	1.744837143
0	-30	1.97910278046484	0.5000000000	-0.2895513902	1.713953285
5	-30	1.93720456441446	0.6463574672	-0.2658339682	1.672873505
10	-30	1.89491515782409	0.7860446177	-0.2366004927	1.622239640
15	-30	1.85228919152281	0.9187000145	-0.2021731467	1.562609727
20	-30	1.80937162627730	1.043945201	-0.1628367893	1.494477158
25	-30	1.76621465353427	1.161365403	-0.1188574366	1.418302684
30	-30	1.72288138902366	1.270495981	-0.07049598061	1.334538185
35	-30	1.67946394358397	1.370822868	-0.01802971224	1.243663943
40	-30	1.63608183505533	1.461785240	0.03823476169	1.146211015
45	-30	1.59290173883212	1.542798970	0.09793973373	1.042798970

-45	-25	2.26077356752092	-1.018206515	-0.007951324689	1.518206515
-40	-25	2.22931087089424	-0.8494613914	-0.04992784861	1.608225461
-35	-25	2.19472499216546	-0.6759716478	-0.08314578924	1.679461565
-30	-25	2.15772734925985	-0.5003716607	-0.1079687345	1.732694543
-25	-25	2.11891997428193	-0.3248566016	-0.1248566016	1.768910691
-20	-25	2.07879833855177	-0.1512154111	-0.1343174928	1.789199637
-15	-25	2.03776153681103	0.01911747607	-0.1368721008	1.794678012
-10	-25	1.99611866914905	0.1850040757	-0.1330262968	1.786430659
-5	-25	1.95411411236317	0.3455398516	-0.1232603768	1.765487575
0	-25	1.91193223302848	0.5000000000	-0.1080174769	1.732799071
5	-25	1.86971556881906	0.6477889866	-0.08770361152	1.689235846
10	-25	1.82757898234941	0.7883996526	-0.06269080360	1.635595707
15	-25	1.78561475881100	0.9213794973	-0.03331994321	1.572609693
20	-25	1.74390732262139	1.046305672	8.969214499e-05	1.500962499
25	-25	1.70253957027565	1.162767363	0.03723263689	1.421309197
30	-25	1.66159895384942	1.270355210	0.07780832019	1.334294363
35	-25	1.62119144975537	1.368662446	0.1215087257	1.240578541
40	-25	1.58143606234850	1.457285472	0.1680136542	1.140848400
45	-25	1.54248146512749	1.535842529	0.2169786960	1.035842529

-45	-20	2.21106025885437	-1.014114340	0.1489074490	1.514114340
-40	-20	2.17652690963148	-0.8476425423	0.1154427513	1.606057841
-35	-20	2.13916562079940	-0.6758268843	0.08880122938	1.679254821
-30	-20	2.09967670733151	-0.5012748528	0.06878137555	1.734258917
-25	-20	2.05866866884756	-0.3262385295	0.05509051616	1.771874244
-20	-20	2.01665608168496	-0.1526213217	0.04737867828	1.793062345
-15	-20	1.97406451587624	0.01799486812	0.04526572305	1.798867642
-10	-20	1.93123796409590	0.1843112274	0.04836225248	1.790359997
-5	-20	1.88845352729287	0.3452676346	0.05628259712	1.768599029
0	-20	1.84592843739057	0.5000000000	0.06865529127	1.734605331
5	-20	1.80383648988307	0.6477991821	0.08512601782	1.689352382
10	-20	1.76231932256097	0.7880765780	0.1053587310	1.633763459
15	-20	1.72149156743000	0.9203346767	0.1290361193	1.568710369
20	-20	1.68145300250610	1.044144384	0.1558556162	1.495024407
25	-20	1.64229497520392	1.159128594	0.1855259514	1.413505831
30	-20	1.60410406799273	1.264950651	0.2177636825	1.324933393
35	-20	1.56697476500807	1.361312952	0.2522866296	1.230082376
40	-20	1.53100129583544	1.447951743	0.2888137650	1.129724896
45	-20	1.49629504968943	1.524649501	0.3270580810	1.024649501

-45	-15	2.16157069571072	-1.001743871	0.2976089425	1.501743871
-40	-15	2.12386634059829	-0.8373137123	0.2729563977	1.593748421
-35	-15	2.08369955400218	-0.6673718613	0.2532805198	1.667179797
-30	-15	2.04176503959189	-0.4944589641	0.2384699886	1.722453452
-25	-15	1.99867785679866	-0.3208211347	0.2283406645	1.760256604
-20	-15	1.95496871253318	-0.1484008077	0.2226574691	1.781466578
-15	-15	1.91108116161200	0.02115413958	0.2211541396	1.787077080
-10	-15	1.86738309379059	0.1864646644	0.2235468807	1.778147249
-5	-15	1.82417070725848	0.3463913098	0.2295467683	1.755755363
0	-15	1.78168413844461	0.5000000000	0.2388662126	1.720974724
5	-15	1.74011096842566	0.6465302374	0.2512257568	1.674848277
10	-15	1.69960267957801	0.7853648500	0.2663551840	1.618384486
15	-15	1.66028113363904	0.9160047014	0.2839952986	1.552550682
20	-15	1.62224093769805	1.038045610	0.3038992389	1.478268165
25	-15	1.58556425263684	1.151162790	0.3258295557	1.396423109
30	-15	1.55031976263280	1.255096378	0.3495585516	1.307865291
35	-15	1.51657446145283	1.349645693	0.3748651437	1.213419803
40	-15	1.48438589917235	1.434658448	0.4015360668	1.113882563
45	-15	1.45382098812497	1.510037175	0.4293613547	1.010037175

-45	-10	2.11230510105301	-0.9821492382	0.4386570999	1.482149238
-40	-10	2.07142703602558	-0.8195048157	0.4227214844	1.572524605
-35	-10	2.02851865085803	-0.6515602853	0.4100129074	1.644598526
-30	-10	1.98427337694078	-0.4807676164	0.4004664208	1.698739342
-25	-10	1.93931038969040	-0.3093188934	0.3939686612	1.735589968
-20	-10	1.89416329427471	-0.1391280233	0.3903716183	1.755989812
-15	-10	1.84928614357409	0.02816422380	0.3895031590	1.760915090
-10	-10	1.80505336664321	0.1911772647	0.3911772647	1.751420764
-5	-10	1.76177017441444	0.3487670359	0.3952010596	1.728600690
0	-10	1.71967765816412	0.5000000000	0.4013811085	1.693551890
5	-10	1.67896683689977	0.6441250028	0.4095266339	1.647356320
10	-10	1.63978182302812	0.7805467790	0.4194532210	1.591059847
15	-10	1.60223499590397	0.9088019561	0.4309832734	1.525669671
20	-10	1.56640459511847	1.028535779	0.4439485173	1.452140119
25	-10	1.53235007953394	1.139484983	0.4581887104	1.371379971
30	-10	1.50011446189216	1.241462191	0.4735520422	1.284250186
35	-10	1.46972895923717	1.334343573	0.4898947453	1.191566111
40	-10	1.44121402113043	1.418057362	0.5070809749	1.094098160
45	-10	1.41459211946419	1.492582289	0.5249809619	0.9925822890

-45	-5	2.06319757509418	-0.9561172798	0.5726062453	1.456117280
-40	-5	2.01923193582824	-0.7950320753	0.5649735725	1.543359128
-35	-5	1.97373596221513	-0.6291923368	0.5589110756	1.612653785
-30	-5	1.92740238436432	-0.4609468857	0.5543830960	1.664408829
-25	-5	1.88083962730974	-0.2923901324	0.5513317282	1.699286123
-20	-5	1.83457741156435	-0.1253526442	0.5496820291	1.718142269
-15	-5	1.78905959365102	0.03860191688	0.5493479257	1.721961089
-10	-5	1.74465258792656	0.1981625254	0.5502364349	1.711805382
-5	-5	1.70165104713811	0.3522514356	0.5522514356	1.688773818
0	-5	1.66028543023535	0.5000000000	0.5552965902	1.653967543
5	-5	1.62072850674977	0.6407223358	0.5592776642	1.608463659
10	-5	1.58310992645245	0.7738894296	0.5641034965	1.553304143
15	-5	1.54751575082383	0.8991039782	0.5696877071	1.489476324
20	-5	1.51400321879886	1.016078477	0.5759486025	1.417913962
25	-5	1.48260277523434	1.124614556	0.5828097892	1.339490239
30	-5	1.45332916222362	1.224587737	0.5901997347	1.255022775
35	-5	1.42617897951160	1.315929995	0.5980521903	1.165268797
40	-5	1.40114135282214	1.398620392	0.6063054086	1.070934081
45	-5	1.37820076603274	1.472675605	0.6149019112	0.9726756054

-45	0	2.01413807263665	-0.9242106894	0.7000000000	1.424210689
-40	0	1.96725462848681	-0.7645269003	0.7000000000	1.507004476
-35	0	1.91941323989829	-0.6009302060	0.7000000000	1.572291279
-30	0	1.87128951126762	-0.4356447556	0.7000000000	1.620584255
-25	0	1.82347507161383	-0.2706338651	0.7000000000	1.652629657
-20	0	1.77647198637865	-0.1075892034	0.7000000000	1.669337617
-15	0	1.73069939444208	0.05206203537	0.7000000000	1.671727243
-10	0	1.68649564124200	0.2071431053	0.7000000000	1.660873983
-5	0	1.64412537429854	0.3567050318	0.7000000000	1.637868981
0	0	1.60378911789171	0.5000000000	0.7000000000	1.603789118
5	0	1.56563380221455	0.6364539769	0.7000000000	1.559676093
10	0	1.52975608879908	0.7656393571	0.7000000000	1.506515656
15	0	1.49621617763279	0.8872492424	0.7000000000	1.445233848
20	0	1.46504240893255	1.001074015	0.7000000000	1.376689541
25	0	1.43624002276497	1.106981262	0.7000000000	1.301675517
30	0	1.40979646059515	1.204898230	0.7000000000	1.220919549
35	0	1.38568197046109	1.294794527	0.7000000000	1.135084219
40	0	1.36386348209338	1.376674548	0.7000000000	1.044780042
45	0	1.34429896256725	1.450562912	0.7000000000	0.9505629124

-45	5	1.96498910008621	-0.8868059064	0.8213297953	1.386805906
-40	5	1.91544060183670	-0.7284656228	0.8280858810	1.464028319
-35	5	1.86557437258823	-0.5673121054	0.8333571899	1.524279656
-30	5	1.81603541173391	-0.4054225456	0.8372030337	1.568237851
-25	5	1.76737597242610	-0.2445883532	0.8396996999	1.596774876
-20	5	1.72005501244750	-0.08631537892	0.8409344613	1.610888264
-15	5	1.67444198472734	0.06816177349	0.8410004223	1.611642202
-10	5	1.63082597817472	0.2178553495	0.8399925201	1.600121827
-5	5	1.58942518533731	0.3619956250	0.8380043750	1.577397225
0	5	1.55039542709245	0.5000000000	0.8351258650	1.544495704
5	5	1.51384060406336	0.6314416233	0.8314416233	1.502384629
10	5	1.47982417491111	0.7560202500	0.8270303014	1.451962989
15	5	1.44837431931878	0.8735354244	0.8219638498	1.394053182
20	5	1.41949273734348	0.9838626766	0.8163075848	1.329401778
25	5	1.39316380220159	1.086934279	0.8101206354	1.258684622
30	5	1.36935419296497	1.182720255	0.8034558843	1.182506169
35	5	1.34802146176081	1.271215367	0.7963608617	1.101409689
40	5	1.32911998476098	1.352429571	0.7888785087	1.015886003
45	5	1.31259595857164	1.426374517	0.7810472684	0.9263745168

-45	10	1.91559900922038	-0.8441257188	0.9370056297	1.344125719
-40	10	1.86371877759498	-0.6871940741	0.9494749596	1.414842803
-35	10	1.81222551782991	-0.5287738461	0.9590668855	1.469241318
-30	10	1.76171485527509	-0.3707635245	0.9659375277	1.508206666
-25	10	1.71267576813547	-0.2147390458	0.9702674420	1.532762830
-20	10	1.66549606544524	-0.06197119401	0.9722494165	1.544003166
-15	10	1.62047442861825	0.08654434713	0.9720791441	1.543037503
-10	10	1.57783081932401	0.2300522863	0.9699477137	1.530949561
-5	10	1.53771881225779	0.3679999370	0.9660364396	1.508767624
0	10	1.50023851518617	0.5000000000	0.9605136842	1.477446521
5	10	1.46544592948199	0.6257960515	0.9535327099	1.437855448
10	10	1.43336358077156	0.7452311216	0.9452311216	1.390774802
15	10	1.40398894280811	0.8582205030	0.9357310323	1.336897118
20	10	1.37730319341692	0.9647292396	0.9251401240	1.276833092
25	10	1.35327352061940	1.064752210	0.9135522552	1.211115022
30	10	1.33185794231738	1.158297972	0.9010489991	1.140205534
35	10	1.31301426677518	1.245378941	0.8877020897	1.064511449
40	10	1.29669646087313	1.325999272	0.8735740934	0.9843876004
45	10	1.28285586974605	1.400146408	0.8587200984	0.9001464083

-45	15	1.86581305660300	-0.7962672598	1.047333765	1.296267260
-40	15	1.81201581060172	-0.6409539028	1.064340140	1.359735913
-35	15	1.75937134671965	-0.4856702228	1.077187513	1.407682964
-30	15	1.70839376498731	-0.3320876599	1.086173227	1.441218103
-25	15	1.65948108940261	-0.1815191083	1.091613759	1.461522444
-20	15	1.61292640333062	-0.03495627624	1.093826442	1.469780289
-15	15	1.56893468275600	0.1068833218	1.093116678	1.467131417
-10	15	1.52763909956747	0.2435079929	1.089769200	1.454638457
-5	15	1.48911643728356	0.3746053620	1.084042808	1.433267271
0	15	1.45340079723915	0.5000000000	1.076167806	1.403877366
5	15	1.42049513887766	0.6196162162	1.066345390	1.367219608
10	15	1.39038290303120	0.7334465657	1.054748992	1.323941264
15	15	1.36303408985674	0.8415256477	1.041525648	1.274591069
20	15	1.33841141922841	0.9439084061	1.026798424	1.219628322
25	15	1.31647461263192	1.040652503	1.010669145	1.159433034
30	15	1.29718702425526	1.131805932	0.9932221536	1.094319975
35	15	1.28051495802654	1.217395714	0.9745266108	1.024547259
40	15	1.26642673571566	1.297418278	0.9546391103	0.9503260972
45	15	1.25489620105881	1.371834857	0.9336074459	0.8718348573

-45	20	1.81548140974629	-0.7432254731	1.152497067	1.243225473
-40	20	1.76027123611562	-0.5899090626	1.172762044	1.298903041
-35	20	1.70702352064426	-0.4382930093	1.187727863	1.340021291
-30	20	1.65613973781945	-0.2897649512	1.197879623	1.367913021
-25	20	1.60789544380120	-0.1453224781	1.203697869	1.383898520
-20	20	1.56246302784198	-0.005637374481	1.205637374	1.389227269
-15	20	1.51993496078390	0.1288791753	1.204113979	1.385041774
-10	20	1.48034455310021	0.2580162757	1.199497425	1.372357896
-5	20	1.44368368145943	0.3817103055	1.192108647	1.352057395
0	20	1.40991738633461	0.5000000000	1.182220147	1.324888964
5	20	1.37899562655780	0.6129894128	1.170058421	1.291474898
10	20	1.35086278376266	0.7208180567	1.155807724	1.252321430
15	20	1.32546457357757	0.8236372071	1.139614350	1.207830500
20	20	1.30275220526526	0.9215909067	1.121590907	1.158311497
25	20	1.28268895357607	1.014802139	1.101821956	1.103996750
30	20	1.26524918408380	1.103360596	1.080367533	1.045051208
35	20	1.25041868105875	1.187312795	1.057267503	0.9815843982
40	20	1.23819473512264	1.266654386	1.032546179	0.9136631183
45	20	1.22858795121091	1.341326068	1.006217646	0.8413260685

-45	25	1.76447102751984	-0.6849180512	1.252536362	1.184918051
-40	25	1.70844656922174	-0.5341683228	1.274711978	1.232473814
-35	25	1.65521777757506	-0.3868943418	1.290632921	1.266616386
-30	25	1.60503459110954	-0.2441306798	1.301010952	1.288872145
-25	25	1.55802078373534	-0.1065088557	1.306508856	1.300662438
-20	25	1.51420734900616	0.02565136165	1.307721132	1.303262173
-15	25	1.47356110913370	0.1522606927	1.305165108	1.297780763
-10	25	1.43600824005262	0.2733918580	1.299279314	1.285158636
-5	25	1.40145297015103	0.3892241592	1.290426471	1.266173654
0	25	1.36979185735223	0.5000000000	1.278899054	1.241453027
5	25	1.34092415884755	0.6059914277	1.264925928	1.211487562
10	25	1.31475930792606	0.7074745504	1.248679342	1.176646646
15	25	1.29122472010135	0.8047105322	1.230282825	1.137195188
20	25	1.27026736635439	0.8979307035	1.209816784	1.093305622
25	25	1.25185640450955	0.9873246899	1.187324690	1.045071170
30	25	1.23598384610277	1.073030329	1.162818578	0.9925176440
35	25	1.22266412144074	1.155124604	1.136284392	0.9356148975
40	25	1.21193577306838	1.233617081	1.107688492	0.8742907923
45	25	1.20385710521254	1.308441733	1.076982571	0.8084417328

-45	30	1.71268073944433	-0.6212127328	1.347332473	1.121212733
-40	30	1.65653743952127	-0.4738102491	1.370039157	1.160541863
-35	30	1.60401821662628	-0.3317033234	1.385774019	1.187795444
-30	30	1.55517976210053	-0.1954975331	1.395497533	1.204637064
-25	30	1.50996772295842	-0.06541282229	1.400055509	1.212531710
-20	30	1.46825717294464	0.05860286976	1.400169212	1.212728648
-15	30	1.42988350108926	0.1767825211	1.396436876	1.206264053
-10	30	1.39466608254909	0.2894698743	1.389342177	1.193975674
-5	30	1.36242558269144	0.3970675781	1.379265851	1.176522966
0	30	1.33299602029235	0.5000000000	1.366498010	1.154408417
5	30	1.30623241287924	0.5986869797	1.351249567	1.127997339
10	30	1.28201627495074	0.6935252107	1.333662710	1.097536009
15	30	1.26025962929615	0.7848749145	1.313820132	1.063167655
20	30	1.24090717699561	0.8730496788	1.291752600	1.024945569
25	30	1.22393751035820	0.9583077847	1.267445373	0.9828442160
30	30	1.20936417468814	1.040844101	1.240844101	0.9367694616
35	30	1.19723684550938	1.120782141	1.211860723	0.8865687779
40	30	1.18763958302896	1.198164479	1.180378533	0.8320400259
45	30	1.18068809044026	1.272941792	1.146258152	0.7729417924

-45	35	1.66006013548067	-0.5519589823	1.436589609	1.051958982
-40	35	1.60459331992924	-0.4089138303	1.458465732	1.083201323
-35	35	1.55353037291663	-0.2729478705	1.472947871	1.103883961
-30	35	1.50670018471370	-0.1441671488	1.481242718	1.115730230
-25	35	1.46385256057642	-0.02234789004	1.484357545	1.120178665
-20	35	1.42470126298971	0.09293677311	1.483110027	1.118397024
-15	35	1.38895389673049	0.2022254185	1.478147547	1.111309868
-10	35	1.35633173423977	0.3061054573	1.469969632	1.099630595
-5	35	1.32658218015617	0.4051716863	1.458949759	1.083892585
0	35	1.29948635419443	0.5000000000	1.445354752	1.064476904
5	35	1.27486321939763	0.5911312778	1.429360870	1.041635272
10	35	1.25257195571186	0.6790615529	1.411066727	1.015508530
15	35	1.23251332803176	0.7642356534	1.390503281	0.9861408838
20	35	1.21463149163511	0.8470424483	1.367641789	0.9534912904
25	35	1.19891571710672	0.9278102263	1.342399798	0.9174419909
30	35	1.18540118724349	1.006800564	1.314645206	0.8778043257
35	35	1.17417042232539	1.084200054	1.284200054	0.8343241425
40	35	1.16535416682072	1.160109017	1.250844373	0.7866872928
45	35	1.15913110590869	1.234526631	1.214321084	0.7345266310

-45	40	1.60662763814010	-0.4770230458	1.519819677	0.9770230458
-40	40	1.55273029186306	-0.3395864278	1.539586428	1.000580142
-35	40	1.50391580337637	-0.2108770713	1.551885557	1.015237672
-30	40	1.45976095423068	-0.09044666046	1.558133444	1.022683615
-25	40	1.41981476079532	0.02238216621	1.559451783	1.024254750
-20	40	1.38363752703242	0.1283917546	1.556708358	1.020985263
-15	40	1.35082332241710	0.2283913556	1.550559434	1.013657261
-10	40	1.32101152847774	0.3231711234	1.541488038	1.002846393
-5	40	1.29389171093341	0.4134772127	1.529835958	0.9889599840
0	40	1.26920559265975	0.5000000000	1.515829629	0.9722678914
5	40	1.24674620755098	0.5833701584	1.499599244	0.9529252712
10	40	1.22635710259649	0.6641585589	1.481192904	0.9309894504
15	40	1.20793182234420	0.7428775987	1.460586370	0.9064315384
20	40	1.19141433756753	0.8199822084	1.437689316	0.8791438923
25	40	1.17680075050048	0.8958692646	1.412348914	0.8489443776
30	40	1.16414208798223	0.9708742251	1.384351268	0.8155780818
35	40	1.15354768936775	1.045263639	1.353421297	0.7787171786
40	40	1.14519025800209	1.119222928	1.319222928	0.7379611492
45	40	1.13931073261258	1.192838101	1.281360195	0.6928381012

-45	45	1.55249768043785	-0.3963349537	1.596334954	0.8963349537
-40	45	1.50114289551933	-0.2659935975	1.612875622	0.9128756217
-35	45	1.45538982042730	-0.1457748104	1.622262008	0.9222620082
-30	45	1.41455586169515	-0.03465186081	1.626044187	0.9260441873
-25	45	1.37800216147910	0.06848466841	1.625387615	0.9253876149
-20	45	1.34515782239932	0.1647280630	1.621152076	0.9211520763
-15	45	1.31552804251299	0.2551055252	1.613958622	0.9139586224
-10	45	1.28869363425219	0.3405576299	1.604242615	0.9042426150
-5	45	1.26430664366300	0.4219343933	1.592293968	0.8922939679
0	45	1.24208483395234	0.5000000000	1.578286609	0.8782866089
5	45	1.22180637236287	0.5754413941	1.562299080	0.8622990803
10	45	1.20330572536256	0.6488778339	1.544328153	0.8443281528
15	45	1.18647130664269	0.7208696874	1.524296895	0.8242968951
20	45	1.17124513888971	0.7919253190	1.502058222	0.8020582222
25	45	1.15762472245739	0.8625051034	1.477394703	0.7773947029
30	45	1.14566841823260	0.9330219599	1.450016035	0.7500160354
35	45	1.13550194796249	1.003836529	1.419553134	0.7195531343
40	45	1.12732781540978	1.075245629	1.385551045	0.6855510448
45	45	1.12143678541776	1.147461830	1.347461830	0.6474618299


### +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	1.77519566273355	1.524909694	-0.3249096937	1.024909694
45	-40	1.70870531216411	1.539098562	-0.1719072202	1.039098562
45	-35	1.64811833508404	1.544391615	-0.03129088192	1.044391615
45	-30	1.59290183988961	1.542799037	0.09793969553	1.042799037
45	-25	1.54248153731719	1.535842578	0.2169786734	1.035842578
45	-20	1.49629510333105	1.524649538	0.3270580676	1.024649538
45	-15	1.45382103013778	1.510037204	0.4293613469	1.010037204
45	-10	1.41459214925122	1.492582310	0.5249809582	0.9925823099
45	-5	1.37820078312005	1.472675617	0.6149019102	0.9726756175
45	0	1.34429897156595	1.450562919	0.7000000000	0.9505629187
45	5	1.31259596519473	1.426374521	0.7810472688	0.9263745215
45	10	1.28285588216118	1.400146417	0.8587200999	0.9001464171
45	15	1.25489621674830	1.371834868	0.9336074489	0.8718348682
45	20	1.22858796770049	1.341326080	1.006217650	0.8413260798
45	25	1.20385712030036	1.308441743	1.076982576	0.8084417430
45	30	1.18068809717101	1.272941797	1.146258154	0.7729417968
45	35	1.15913110622335	1.234526631	1.214321084	0.7345266312
45	40	1.13931079617978	1.192838140	1.281360228	0.6928381398
45	45	1.12143682625737	1.147461854	1.347461854	0.6474618535

50	-45	1.78904120981915	1.587952460	-0.3879524604	0.9129005083
50	-40	1.71920268560517	1.607855032	-0.2296007485	0.9296007485
50	-35	1.65482485003580	1.617110762	-0.08220937658	0.9373672284
50	-30	1.59562733041641	1.617869280	0.05459787039	0.9380037004
50	-25	1.54122977896452	1.611843577	0.1815388255	0.9329475351
50	-20	1.49121187445484	1.600364307	0.2995001455	0.9233152839
50	-15	1.44515250565920	1.584441841	0.4094246845	0.9099547486
50	-10	1.40265391844455	1.564825244	0.5122425798	0.8934944692
50	-5	1.36335585859301	1.542053502	0.6088321318	0.8743867089
50	0	1.32694294535618	1.516497270	0.7000000000	0.8529424840
50	5	1.29314792947926	1.488391490	0.7864730505	0.8293589345
50	10	1.26175311695091	1.457860348	0.8688966231	0.8037402646
50	15	1.23259111812300	1.424935864	0.9478358177	0.7761133421
50	20	1.20554735024952	1.389572634	1.023777960	0.7464400687
50	25	1.18056125521963	1.351657207	1.097134278	0.7146252480
50	30	1.15762896138679	1.311015096	1.168239784	0.6805224683
50	35	1.13680748027931	1.267416486	1.237350808	0.6439388900
50	40	1.11821963608000	1.220581268	1.304639476	0.6046394758
50	45	1.10205884912519	1.170184471	1.370184471	0.5623515423

55	-45	1.80101472786033	1.641280114	-0.4412801137	0.7991329388
55	-40	1.72853306492895	1.666868439	-0.2791188767	0.8170500770
55	-35	1.66101071548737	1.680255706	-0.1264239424	0.8264239424
55	-30	1.59839682407603	1.683632732	0.01662932329	0.8287885617
55	-25	1.54050375122218	1.678834182	0.1503005933	0.8254285805
55	-20	1.48706416865273	1.667352191	0.2751185495	0.8173888039
55	-15	1.43777337898371	1.650370611	0.3917591237	0.8054981738
55	-10	1.39231916992076	1.628807001	0.5009608697	0.7903991713
55	-5	1.35040285356430	1.603355421	0.6034689088	0.7725777830
55	0	1.31175257280712	1.574524802	0.7000000000	0.7523903661
55	5	1.27613125257300	1.542671327	0.7912219209	0.7300863230
55	10	1.24334187979145	1.508025350	0.8777420664	0.7058269488
55	15	1.21323103373488	1.470713011	0.9601017674	0.6797005678
55	20	1.18569181545257	1.430773512	1.038773853	0.6517346294
55	25	1.16066593790997	1.388172249	1.114161521	0.6219049040
55	30	1.13814557737248	1.342810959	1.186597134	0.5901425866
55	35	1.11817540360368	1.294536055	1.256340135	0.5563401348
55	40	1.10085549635897	1.243146637	1.323574069	0.5203568773
55	45	1.08634237179544	1.188401336	1.388401336	0.4820238051

60	-45	1.81116148265641	1.685683513	-0.4856835129	0.6845546953
60	-40	1.73662957189038	1.716653044	-0.3208931206	0.7024349625
60	-35	1.66654801607490	1.734099538	-0.1641257994	0.7125077004
60	-30	1.60106148938164	1.740176897	-0.01601646528	0.7160164653
60	-25	1.54016071481814	1.736777235	0.1232813038	0.7140536697
60	-20	1.48373017090210	1.725508799	0.2539512753	0.7075478350
60	-15	1.43158789718149	1.707701899	0.3763972515	0.6972670164
60	-10	1.38351693925988	1.684430876	0.4911528797	0.6838314854
60	-5	1.33928935590624	1.656543671	0.5988155399	0.6677307998
60	0	1.29868358385620	1.624692975	0.7000000000	0.6493417919
60	5	1.26149658243732	1.589365701	0.7953071493	0.6289455809
60	10	1.22755231668592	1.550909335	0.8853036700	0.6067427874
60	15	1.19670754458284	1.509554479	0.9705093074	0.5828665503
60	20	1.16885630444742	1.465434089	1.051389272	0.5573936312
60	25	1.14393312935558	1.418599234	1.128349858	0.5303535151
60	30	1.12191463191143	1.369031337	1.201735476	0.5017354764
60	35	1.10282087628112	1.316652578	1.271826291	0.4714945858
60	40	1.08671608659139	1.261334746	1.338835705	0.4395568208
60	45	1.07370836132702	1.202907120	1.402907120	0.4058236150

65	-45	1.81956034827159	1.721912895	-0.5219128953	0.5697873407
65	-40	1.74346601215154	1.757736850	-0.3553665266	0.5864923249
65	-35	1.67134505848482	1.778957408	-0.1955356181	0.5963876338
65	-30	1.60350040925850	1.787640169	-0.04341939811	0.6004364717
65	-25	1.54007821441365	1.785683674	0.1004758568	0.5995241432
65	-20	1.48110353155767	1.774770069	0.2360216394	0.5944350455
65	-15	1.42651388802608	1.756345780	0.3633631627	0.5858436587
65	-10	1.37618864693256	1.731622964	0.4828316415	0.5743152198
65	-5	1.32997349310815	1.701593941	0.5948741520	0.5603124567
65	0	1.28769981296566	1.667052368	0.7000000000	0.5442054566
65	5	1.24919963292083	1.628617012	0.7987411940	0.5262827559
65	10	1.21431688264562	1.586755483	0.8916243131	0.5067624042
65	15	1.18291556995166	1.541806180	0.9791511247	0.4858022002
65	20	1.15488571542565	1.493997862	1.061785635	0.4635088150
65	25	1.13014764779433	1.443466615	1.139945708	0.4399457079
65	30	1.10865460474186	1.390269933	1.213997586	0.4151396877
65	35	1.09039419488707	1.334398454	1.284252087	0.3890863891
65	40	1.07538858222637	1.275785612	1.350961421	0.3617547720
65	45	1.06369455804209	1.214316565	1.414316565	0.3330912844

70	-45	1.82629162713482	1.750628213	-0.5506282135	0.4551914438
70	-40	1.74903534072193	1.790612081	-0.3829521210	0.4697443814
70	-35	1.67533530319147	1.815145895	-0.2208750695	0.4786739595
70	-30	1.60561586664052	1.826182086	-0.06567158407	0.4826908043
70	-25	1.54015101327668	1.825591609	0.08186648117	0.4824758884
70	-20	1.47908797654560	1.815096302	0.2213440909	0.4786559091
70	-15	1.42247274200857	1.796229260	0.3526764166	0.4717888675
70	-10	1.37027500511820	1.770317589	0.4760087350	0.4623577904
70	-5	1.32241101490704	1.738481542	0.5916469051	0.4507704170
70	0	1.27876338012667	1.701644512	0.7000000000	0.4373628346
70	5	1.23919757447712	1.660549410	0.8015349168	0.4224054406
70	10	1.20357522910470	1.615778057	0.8967417760	0.4061100009
70	15	1.17176445924884	1.567771166	0.9861084216	0.3886369213
70	20	1.14364732394412	1.516847132	1.070102089	0.3701020888
70	25	1.11912616943805	1.463220000	1.149156863	0.3505834092
70	30	1.09812760571238	1.407014678	1.223665169	0.3301263448
70	35	1.08060482284431	1.348279741	1.293971869	0.3087485760
70	40	1.06653880598685	1.286998316	1.360369997	0.2864439614
70	45	1.05593884508084	1.223097501	1.423097501	0.2631859668

75	-45	1.83143665084395	1.772384369	-0.5723843691	0.3409343642
75	-40	1.75334788524290	1.815711526	-0.4040130560	0.3525438408
75	-35	1.67847611077844	1.842958228	-0.2403494749	0.3598445727
75	-30	1.60733449422309	1.855963490	-0.08286588572	0.3633293220
75	-25	1.54029583334185	1.856554736	0.06742813787	0.3634877460
75	-20	1.47760603541148	1.846469511	0.2099251765	0.3607854182
75	-15	1.41940177558087	1.827301232	0.3443507067	0.3556492933
75	-10	1.36573028679331	1.800466712	0.4706926312	0.3484590052
75	-5	1.31656947864570	1.767191669	0.5891350944	0.3395429844
75	0	1.27184701005591	1.728509874	0.7000000000	0.3291782287
75	5	1.23145742895893	1.685271739	0.8036978403	0.3175926052
75	10	1.19527690087095	1.638158710	0.9006880888	0.3049687071
75	15	1.16317534359455	1.587700532	0.9914484792	0.2914484792
75	20	1.13502597722821	1.534293199	1.076451938	0.2771380274
75	25	1.11071307611972	1.478216685	1.156149931	0.2621123707
75	30	1.09013761982020	1.419651022	1.230960765	0.2464197488
75	35	1.07322111854617	1.358690286	1.301261411	0.2300853687
75	40	1.05990812879802	1.295354620	1.367381768	0.2131146282
75	45	1.05016779376350	1.229600494	1.429600494	0.1954958632

80	-45	1.83505874550116	1.787612722	-0.5876127224	0.2270408637
80	-40	1.75641278535533	1.833381419	-0.4188398569	0.2351111197
80	-35	1.68073489790657	1.862636787	-0.2541285498	0.2402696304
80	-30	1.60859776840776	1.877122904	-0.09508227917	0.2428239237
80	-25	1.54044389152498	1.878623545	0.05713728333	0.2430885272
80	-20	1.47659130589101	1.868878437	0.2017689946	0.2413702018
80	-15	1.41724483078386	1.849519552	0.3383973258	0.2379567080
80	-10	1.36251116802684	1.822027589	0.4668908668	0.2331091332
80	-5	1.31241616427002	1.787706830	0.5873402504	0.2270574574
80	0	1.26692267282780	1.747675271	0.7000000000	0.2199988134
80	5	1.22594776090243	1.702866399	0.8052371736	0.2120978003
80	10	1.18937838409428	1.654039009	0.9034882141	0.2034882141
80	15	1.15708501680196	1.601791885	0.9952242458	0.1942756365
80	20	1.12893255709068	1.546580342	1.080924092	0.1845403518
80	25	1.10478980045525	1.488733987	1.161054230	0.1743404787
80	30	1.08453672228347	1.428473475	1.236054411	0.1637149245
80	35	1.06806962870622	1.365925357	1.306327463	0.1526860037
80	40	1.05530486967694	1.301135084	1.372232154	0.1412617305
80	45	1.04618137225438	1.234078104	1.434078104	0.1294377757

85	-45	1.83721224038097	1.796626422	-0.5966264221	0.1134401128
85	-40	1.75824677732524	1.843880396	-0.4276495446	0.1175742998
85	-35	1.68209748456526	1.874368673	-0.2623433051	0.1202416784
85	-30	1.60937131999198	1.889773021	-0.1023858279	0.1215893842
85	-25	1.54055213771445	1.891845871	0.05097161149	0.1217707351
85	-20	1.47600180572035	1.882324385	0.1968750698	0.1209377130
85	-15	1.41596730781452	1.862861593	0.3348223369	0.1192349393
85	-10	1.36059264362450	1.834976273	0.4646076644	0.1167952900
85	-5	1.30993399506320	1.800021082	0.5862628930	0.1137371070
85	0	1.26397656169303	1.759166749	0.7000000000	0.1101628160
85	5	1.22265162748696	1.713399222	0.8061586763	0.1061586763
85	10	1.18585272436997	1.663526246	0.9051610699	0.1017953562
85	15	1.15345010555790	1.610190072	0.9974745333	0.09712904568
85	20	1.12530306013670	1.553883440	1.083582203	0.09220285367
85	25	1.10127026997462	1.494966960	1.163960713	0.08704832962
85	30	1.08121804489082	1.433686123	1.239063935	0.08168695109
85	35	1.06502653928659	1.370186850	1.309311392	0.07613148453
85	40	1.05259433688324	1.304529212	1.375080165	0.07038718552
85	45	1.04384170811608	1.236699174	1.436699174	0.06445282612

90	-45	1.83792460187525	1.799608949	-0.5996089493	0.000000000
90	-40	1.75885497270557	1.847361078	-0.4305701837	0.000000000
90	-35	1.68255051922671	1.878264697	-0.2650713308	0.000000000
90	-30	1.60962937610688	1.893979930	-0.1048146881	0.000000000
90	-25	1.54058908989830	1.896247889	0.04891891677	0.000000000
90	-20	1.47580621526390	1.886804210	0.1952445467	0.000000000
90	-15	1.41554199656308	1.867308573	0.3336307721	0.000000000
90	-10	1.35995313472522	1.839292391	0.4638466164	0.000000000
90	-5	1.30910618805203	1.804124644	0.5859038778	0.000000000
90	0	1.26299401172462	1.762994012	0.7000000000	0.000000000
90	5	1.22155274482412	1.716904368	0.8064653368	0.000000000
90	10	1.18467812688756	1.666680204	0.9057171979	0.000000000
90	15	1.15224027964735	1.612978644	0.9982217289	0.000000000
90	20	1.12409647786257	1.556305165	1.084463638	0.000000000
90	25	1.10010185293401	1.497030876	1.164923133	0.000000000
90	30	1.08011797753788	1.435409608	1.240058989	0.000000000
90	35	1.06401945271609	1.371593710	1.310296486	0.000000000
90	40	1.05169880614509	1.305648026	1.376018962	0.000000000
90	45	1.04307000782236	1.237561876	1.437561876	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	1.12143685102498	1.147461868	1.347461868	0.6474618678
40	45	1.12732790186569	1.075245673	1.385551097	0.6855510973
35	45	1.13550199130557	1.003836548	1.419553162	0.7195531617
30	45	1.14566844174008	0.9330219688	1.450016051	0.7500160508
25	45	1.15762474326641	0.8625051099	1.477394717	0.7773947168
20	45	1.17124515095969	0.7919253220	1.502058230	0.8020582304
15	45	1.18647131480424	0.7208696889	1.524296901	0.8242969008
10	45	1.20330573285822	0.6488778348	1.544328158	0.8443281581
5	45	1.22180638092467	0.5754413946	1.562299086	0.8622990863
0	45	1.24208484525701	0.5000000000	1.578286617	0.8782866169
-5	45	1.26430665936130	0.4219343923	1.592293979	0.8922939790
-10	45	1.28869365662453	0.3405576271	1.604242631	0.9042426307
-15	45	1.31552808343877	0.2551055176	1.613958651	0.9139586508
-20	45	1.34515788480539	0.1647280474	1.621152119	0.9211521191
-25	45	1.37800225580799	0.06848463887	1.625387678	0.9253876783
-30	45	1.41455599970725	-0.03465191297	1.626044278	0.9260442776
-35	45	1.45539000818646	-0.1457748937	1.622262127	0.9222621272
-40	45	1.50114312138923	-0.2659937127	1.612875759	0.9128757591
-45	45	1.55249795631403	-0.3963351130	1.596335113	0.8963351130

45	50	1.10205890164476	1.170184503	1.370184503	0.5623515691
40	50	1.10581618847656	1.097932731	1.412588480	0.5979327307
35	50	1.11224641365279	1.025741183	1.450836222	0.6300263971
30	50	1.12107906267649	0.9534560174	1.485408861	0.6590362857
25	50	1.13211748111715	0.8808380599	1.516709855	0.6853009382
20	50	1.14523368747239	0.8075793139	1.545067220	0.7090955923
15	50	1.16036318843762	0.7333130228	1.570736055	0.7306343028
10	50	1.17750064991561	0.6576186980	1.593900056	0.7500712074
5	50	1.19669675629555	0.5800233420	1.614670984	0.7675000857
0	50	1.21805666403344	0.5000000000	1.633085539	0.7829517315
-5	50	1.24173991611805	0.4169646133	1.649098813	0.7963884643
-10	50	1.26796150767164	0.3302723299	1.662573450	0.8076950268
-15	50	1.29699406276043	0.2392147490	1.673263807	0.8166653012
-20	50	1.32916927767818	0.1430204779	1.680793176	0.8229831924
-25	50	1.36487840936198	0.04086245103	1.684623651	0.8261973426
-30	50	1.40456985758365	-0.06812286929	1.684017675	0.8256888678
-35	50	1.44874075627235	-0.1847967045	1.677991049	0.8206319281
-40	50	1.49791829734811	-0.3099486942	1.665259266	0.8099486942
-45	50	1.55262490985897	-0.4441828850	1.644182885	0.7922635105

45	55	1.08634240368665	1.188401357	1.388401357	0.4820238193
40	55	1.08811696142302	1.116358390	1.434547326	0.5143355746
35	55	1.09286236796273	1.043745816	1.476549503	0.5437458159
30	55	1.10034533777913	0.9704362063	1.514819411	0.5705426939
25	55	1.11039283200766	0.8962225217	1.549701940	0.5949677035
20	55	1.12289059932865	0.8208303963	1.581474269	0.6172149281
15	55	1.13778140693554	0.7439262982	1.610345338	0.6374306681
10	55	1.15506249294052	0.6651220776	1.636453837	0.6557120357
5	55	1.17478405444707	0.5839773008	1.659864941	0.6721046670
0	55	1.19704830356197	0.5000000000	1.680564565	0.6865987001
-5	55	1.22200905067991	0.4126469062	1.698450430	0.6991225179
-10	55	1.24987155949210	0.3213244825	1.713319214	0.7095337522
-15	55	1.28089216534634	0.2253925206	1.724849065	0.7176070409
-20	55	1.31537657500038	0.1241728374	1.732576643	0.7230179491
-25	55	1.35367583695532	0.01696657418	1.735868525	0.7253229495
-30	55	1.39617813905375	-0.09691509975	1.733887281	0.7239356675
-35	55	1.44329383966190	-0.2181004758	1.725553763	0.7181004758
-40	55	1.49543047685885	-0.3470790859	1.709509544	0.7068661925
-45	55	1.55295411892591	-0.4840872626	1.684087263	0.6890653195

45	60	1.07370838040676	1.202907133	1.402907133	0.4058236222
40	60	1.07371262732802	1.131191506	1.452224745	0.4342971589
35	60	1.07690672292732	1.058389482	1.497462825	0.4604153768
30	60	1.08310348317325	0.9843786030	1.538968351	0.4843786030
25	60	1.09216418161945	0.9089647897	1.577027822	0.5063522490
20	60	1.10399918024164	0.8318914962	1.611864392	0.5264651519
15	60	1.11856798576854	0.7528462802	1.643635164	0.5448080160
10	60	1.13587861672697	0.6714651779	1.672427346	0.5614311901
5	60	1.15598691676541	0.5873358035	1.698252802	0.5763415240
0	60	1.17899576154509	0.5000000000	1.721040280	0.5894978808
-5	60	1.20505415763940	0.4089571243	1.740624831	0.6008050261
-10	60	1.23435583464135	0.3136693132	1.756733837	0.6101055650
-15	60	1.26713666688021	0.2135705681	1.768969193	0.6171696511
-20	60	1.30366993143696	0.1080821690	1.776785391	0.6216823353
-25	60	1.34425867241128	-0.003362474770	1.779464311	0.6232290103
-30	60	1.38922335835377	-0.1212795730	1.776087786	0.6212795730
-35	60	1.43888296980546	-0.2460786515	1.765510739	0.6151729120
-40	60	1.49352748217342	-0.3779833976	1.746339868	0.6041046047
-45	60	1.55337992082614	-0.5169258672	1.716925867	0.5871224232

45	65	1.06369457514154	1.214316576	1.414316576	0.3330912898
40	65	1.06217808780333	1.142964756	1.466255558	0.3573108348
35	65	1.06400629961654	1.070112996	1.514205739	0.3796703716
30	65	1.06903950746349	0.9956311221	1.558458285	0.4003056727
25	65	1.07717782527182	0.9193255295	1.599246500	0.4193255295
20	65	1.08836206249542	0.8409460816	1.636741660	0.4368098100
15	65	1.10257478948176	0.7601918517	1.671049210	0.4528076832
10	65	1.11984046310356	0.6767155366	1.702203610	0.4673352183
5	65	1.14022503139944	0.5901274529	1.730161500	0.4803721968
0	65	1.16383499739767	0.5000000000	1.754792721	0.4918579236
-5	65	1.19081576558548	0.4058736751	1.775868817	0.5016858686
-10	65	1.22134885241526	0.3072660125	1.793048759	0.5096970072
-15	65	1.25564735088572	0.2036852172	1.805861825	0.5156718377
-20	65	1.29394897750720	0.09465066923	1.813688133	0.5193213054
-25	65	1.33650572739909	-0.02027711555	1.815737875	0.5202771155
-30	65	1.38356899650075	-0.1414541741	1.811031220	0.5180823664
-35	65	1.43536903344680	-0.2690955785	1.798382317	0.5121840862
-40	65	1.49208780248178	-0.4032005847	1.776392542	0.5019300853
-45	65	1.55382497125067	-0.5434601805	1.743460180	0.4865734731

45	70	1.05593885454749	1.223097507	1.423097507	0.2631859691
40	70	1.05316981092947	1.152092301	1.477133343	0.2828534048
35	70	1.05385162144561	1.079266540	1.527278355	0.3011046967
30	70	1.05788810471362	1.004476119	1.573778269	0.3180292813
25	70	1.06521667695336	0.9275205010	1.616820673	0.3336954352
20	70	1.07580958797896	0.8481487407	1.656530804	0.3481487407
15	70	1.08967467225700	0.7660646498	1.692966791	0.3614103556
10	70	1.10685542419984	0.6809315252	1.726113669	0.3734748327
5	70	1.12743035634101	0.5923771559	1.755875723	0.3843073342
0	70	1.15151152680366	0.5000000000	1.782066884	0.3938401374
-5	70	1.17924198794979	0.4033776053	1.804399025	0.4019683719
-10	70	1.21079166720624	0.3020785929	1.822468078	0.4085449693
-15	70	1.24635106890774	0.1956798491	1.835738265	0.4133749223
-20	70	1.28612277635608	0.08379063548	1.843525831	0.4162093645
-25	70	1.33030942576111	-0.03391442748	1.844983185	0.4167397980
-30	70	1.37909770625609	-0.1576516509	1.839086073	0.4145934248
-35	70	1.43263790979249	-0.2874725329	1.824627328	0.4093308721
-40	70	1.49101895631539	-0.4231958346	1.800221953	0.4004480418
-45	70	1.55423947496686	-0.5643293267	1.764329327	0.3873841944

45	75	1.05016779832595	1.229600497	1.429600497	0.1954958641
40	75	1.04642238030761	1.158890332	1.485234920	0.2104030627
35	75	1.04619739026992	1.086121638	1.537068448	0.2242918147
30	75	1.04943294487690	1.011135209	1.585312151	0.2372186758
25	75	1.05609904460187	0.9337209287	1.630117533	0.2492242419
20	75	1.06619637229374	0.8536233519	1.671572174	0.2603319795
15	75	1.07975650788908	0.7705468216	1.709694484	0.2705468216
10	75	1.09684148081582	0.6841606915	1.744427181	0.2798534198
5	75	1.11754252071226	0.5941053610	1.775629198	0.2882139749
0	75	1.14197780602972	0.5000000000	1.803065856	0.2955656053
-5	75	1.17028891002591	0.4014530022	1.826397339	0.3018172573
-10	75	1.20263551209440	0.2980763936	1.845165678	0.3068462186
-15	75	1.23918797797996	0.1895055817	1.858780944	0.3104944183
-20	75	1.28011756545046	0.07542580706	1.866508008	0.3125648787
-25	75	1.32558356378706	-0.04439338548	1.867455383	0.3128187270
-30	75	1.37571715885672	-0.1700546998	1.860568784	0.3109734684
-35	75	1.43060206322709	-0.3014805158	1.844632801	0.3067034347
-40	75	1.49025237669326	-0.4383523341	1.818284765	0.2996434998
-45	75	1.55458865884273	-0.5800451705	1.780045171	0.2893972312

45	80	1.04618137510309	1.234078106	1.434078106	0.1294377761
40	80	1.04173904601178	1.163590686	1.490836584	0.1394458271
35	80	1.04085968830112	1.090880779	1.543865206	0.1487962039
30	80	1.04351055060284	1.015776388	1.593350910	0.1575218686
25	80	1.04968668223749	0.9380584297	1.639419334	0.1656449748
20	80	1.05941118549112	0.8574662115	1.682130344	0.1731760783
15	80	1.07273483852244	0.7737027349	1.721472513	0.1801131641
10	80	1.08973501763013	0.6864404428	1.757356293	0.1864404428
5	80	1.11051375609332	0.5953281475	1.789605712	0.1921268853
0	80	1.13519471266209	0.5000000000	1.817948554	0.1971244932
-5	80	1.16391876050412	0.4000874878	1.842005241	0.2013663360
-10	80	1.19683772150976	0.2952355838	1.861276711	0.2047644162
-15	80	1.23410600780443	0.1851242475	1.875132307	0.2072075315
-20	80	1.27587022741876	0.06949624200	1.882799354	0.2085594389
-25	80	1.32225596142501	-0.05180786796	1.883355792	0.2086575538
-30	80	1.37335197902288	-0.1788072463	1.875728639	0.2073126811
-35	80	1.42919222922275	-0.3113314662	1.858701416	0.2043103223
-40	80	1.48973638258663	-0.4489662425	1.830933929	0.1994141650
-45	80	1.55485009315973	-0.5909976404	1.790997640	0.1923723199

45	85	1.04384170946020	1.236699175	1.436699175	0.06445282620
40	85	1.03898174657354	1.166349746	1.494124704	0.06947690899
35	85	1.03770755506251	1.093681952	1.547865697	0.07417863664
30	85	1.04000304401807	1.018515332	1.598094899	0.07857312240
25	85	1.04587895125943	0.9406245746	1.644922450	0.08267000225
20	85	1.05537265750207	0.8597450169	1.688391311	0.08647303482
15	85	1.06854735708471	0.7755781328	1.728471593	0.08997960515
10	85	1.08549049343187	0.6877976805	1.765053571	0.09318011351
5	85	1.10631128786058	0.5960572409	1.797939287	0.09605724088
0	85	1.13113712660635	0.5000000000	1.826832808	0.09858509642
-5	85	1.16010851636149	0.3992717290	1.851329406	0.1007282710
-10	85	1.19337227458345	0.2935379937	1.870904223	0.1024408456
-15	85	1.23107272330684	0.1825066103	1.884901461	0.1036654453
-20	85	1.27334076731053	0.06595616473	1.892525636	0.1043324742
-25	85	1.32028064326570	-0.05622889827	1.892836722	0.1043596906
-30	85	1.37195455741988	-0.1840167211	1.884751714	0.1036523441
-35	85	1.42836573517118	-0.3171810583	1.867055499	0.1021041259
-40	85	1.48944077441567	-0.4552511244	1.838423959	0.09959919072
-45	85	1.55501251920205	-0.5974618364	1.797461836	0.09601546933

45	90	1.04307000868112	1.237561876	1.437561876	0.000000000
40	90	1.03807085839663	1.167259086	1.495208413	0.000000000
35	90	1.03666461701803	1.094606397	1.549185940	0.000000000
30	90	1.03884080741252	1.019420404	1.599662530	0.000000000
25	90	1.04461550257541	0.9414735879	1.646743164	0.000000000
20	90	1.05403097991421	0.8604998268	1.690465134	0.000000000
15	90	1.06715472444249	0.7761999668	1.730792309	0.000000000
10	90	1.08407768322278	0.6882481141	1.767608107	0.000000000
5	90	1.10491159747774	0.5962993909	1.800707075	0.000000000
0	90	1.12978517700909	0.5000000000	1.829785177	0.000000000
-5	90	1.15883883469165	0.3990005406	1.854429103	0.000000000
-10	90	1.19221768495054	0.2929735716	1.874105219	0.000000000
-15	90	1.23006257798067	0.1816363782	1.888149212	0.000000000
-20	90	1.27249902994188	0.06477969940	1.895757948	0.000000000
-25	90	1.31962397751197	-0.05769719153	1.895985487	0.000000000
-30	90	1.37149059148221	-0.1857452957	1.887745693	0.000000000
-35	90	1.42809172011912	-0.3191197596	1.869824252	0.000000000
-40	90	1.48934288612858	-0.4573311538	1.840902842	0.000000000
-45	90	1.55506606322010	-0.5995977585	1.799597758	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	1.55506605504424	-0.5995977527	1.799597753	1.346618868e-16
-90	40	1.62497570678394	-0.7448036104	1.744514250	1.524444757e-16
-90	35	1.69866960618426	-0.8914686805	1.674316859	1.704057666e-16
-90	30	1.77562381537700	-1.037735332	1.587811908	1.883182652e-16
-90	25	1.85519481990730	-1.181377512	1.484039210	2.059093588e-16
-90	20	1.93662766787930	-1.319834729	1.362365673	2.228654775e-16
-90	15	2.01907037825640	-1.450272223	1.222573867	2.388394636e-16
-90	10	2.10159344371327	-1.569665517	1.064937872	2.534609251e-16
-90	5	2.18321274536428	-1.674904962	0.8902795284	2.663490400e-16
-90	-2.84217e-14	2.26291406586223	-1.762914066	0.7000000000	2.771270468e-16
-90	-5	2.33967742764289	-1.830774249	0.4960836760	2.854375223e-16
-90	-10	2.41249965553155	-1.875848365	0.2810738312	2.909575095e-16
-90	-15	2.48041588683055	-1.895897765	0.05802112871	2.934128529e-16
-90	-20	2.54251950100659	-1.889186813	-0.1695928841	2.925909983e-16
-90	-25	2.59797868936126	-1.854568317	-0.3979532377	2.883514552e-16
-90	-30	2.64605010700525	-1.791546612	-0.6230250535	2.806335224e-16
-90	-35	2.68608960423584	-1.700315790	-0.8406777029	2.694609690e-16
-90	-40	2.71755978223016	-1.581771570	-1.046813757	2.549434890e-16
-90	-45	2.74003852716996	-1.437499823	-1.237499823	2.372752957e-16

-85	45	1.55501250660469	-0.5974618275	1.797461827	0.09601546856
-85	40	1.62473324716293	-0.7418320270	1.742020796	0.1086462244
-85	35	1.69816626564153	-0.8874977750	1.671536401	0.1213903260
-85	30	1.77478688615541	-1.032617676	1.584857228	0.1340866722
-85	25	1.85395695292904	-1.174998376	1.481064570	0.1465433694
-85	20	1.93493310862274	-1.312128690	1.359560904	0.1585407172
-85	15	2.01688096004644	-1.441238037	1.220153164	0.1698363214
-85	10	2.09889369183867	-1.559377060	1.063123739	0.1801721467
-85	5	2.18001351427403	-1.663516282	0.8892831480	0.1892831480
-85	-2.84217e-14	2.25925430470675	-1.750657160	0.7000000000	0.1969069870
-85	-5	2.33562393219309	-1.817949119	0.4972057294	0.2027942706
-85	-10	2.40814399198871	-1.862804993	0.2833737295	0.2067186510
-85	-15	2.47586906973383	-1.883011843	0.06147390122	0.2084865213
-85	-20	2.53790560141324	-1.876832322	-0.1650962170	0.2079458833
-85	-25	2.59342714701827	-1.843089064	-0.3926003741	0.2049937307
-85	-30	2.64168758371393	-1.781229999	-0.6170687539	0.1995817638
-85	-35	2.68203215490396	-1.691371789	-0.8344150456	0.1917201891
-85	-40	2.71390462900925	-1.574318164	-1.040559607	0.1814793239
-85	-45	2.73685859941516	-1.431558638	-1.231558638	0.1689894838

-80	45	1.55485005847321	-0.5909976161	1.790997616	0.1923723156
-80	40	1.62400179811410	-0.7328615688	1.734493688	0.2173867581
-80	35	1.69665233954335	-0.8755416722	1.663164648	0.2425451099
-80	30	1.77227614710769	-1.017248203	1.575983659	0.2675317947
-80	25	1.85025232138533	-1.155887260	1.472152910	0.2919776009
-80	20	1.92987253173120	-1.289094169	1.351177024	0.3154655730
-80	15	2.01035439919084	-1.414286445	1.212931507	0.3375403490
-80	10	2.09085733692642	-1.528732791	1.057720328	0.3577203277
-80	5	2.17049973428324	-1.629634950	0.8863189156	0.3755121008
-80	-2.84217e-14	2.24837626463419	-1.714218377	0.7000000000	0.3904264411
-80	-5	2.32357414485802	-1.779827373	0.5005409500	0.4019950773
-80	-10	2.39518741003465	-1.824020465	0.2902124884	0.4097875116
-80	-15	2.46232913765876	-1.844662858	0.07174948076	0.4134273225
-80	-20	2.52414565682958	-1.840016867	-0.1516964873	0.4126081090
-80	-25	2.57982848933094	-1.808823007	-0.3766218493	0.4071077897
-80	-30	2.62862575044561	-1.750370352	-0.5992519285	0.3968010096
-80	-35	2.66985277808663	-1.664552908	-0.8156362628	0.3816690788
-80	-40	2.70290262209572	-1.551909530	-1.021756530	0.3618070122
-80	-45	2.72726026109189	-1.413647189	-1.213647189	0.3374276309

-75	45	1.55458860210485	-0.5800451311	1.780045131	0.2893972207
-75	40	1.62278939661109	-0.7177404901	1.721805596	0.3262925809
-75	35	1.69414031619167	-0.8554912476	1.649125190	0.3632027851
-75	30	1.76811854837384	-0.9916025292	1.561177122	0.3996736931
-75	25	1.84413500630114	-1.124149090	1.457353159	0.4351894372
-75	20	1.92153985930615	-1.251004512	1.337313523	0.4691802450
-75	15	1.99963502350555	-1.369884959	1.201034165	0.5010341646
-75	10	2.07768486314431	-1.478399416	1.048845196	0.5301105259
-75	5	2.15492670554588	-1.574106390	0.8814607961	0.5557551323
-75	-2.84217e-14	2.23058038400017	-1.654575201	0.7000000000	0.5773166850
-75	-5	2.30385583446608	-1.717449947	0.5059982677	0.5941639225
-75	-10	2.37395926408866	-1.760515878	0.3014100604	0.6057034040
-75	-15	2.44009857946018	-1.781768212	0.08860205036	0.6113979496
-75	-20	2.50148810464901	-1.779482748	-0.1296638698	0.6107855615
-75	-25	2.55735500291262	-1.752289441	-0.3502598146	0.6034991368
-75	-30	2.60694685266393	-1.699246494	-0.5697355555	0.5892863221
-75	-35	2.64954161034583	-1.619913226	-0.7843792212	0.5680290369
-75	-40	2.68446123789000	-1.514418599	-0.9902979038	0.5397618369
-75	-45	2.71108722010816	-1.383518603	-1.183518603	0.5046872886

-70	45	1.55423933433409	-0.5643292304	1.764329230	0.3873841593
-70	40	1.62110080880836	-0.6962092699	1.703738757	0.4353845682
-70	35	1.69064396647269	-0.8271632658	1.629289723	0.4830479248
-70	30	1.76235849063715	-0.9556459656	1.540417590	0.5298118031
-70	25	1.83570030039960	-1.079967739	1.436751057	0.5750612282
-70	20	1.91009920662033	-1.198319805	1.318137857	0.6181378571
-70	15	1.98496928304526	-1.308804618	1.184667737	0.6583510406
-70	10	2.05971061765569	-1.409460959	1.036689486	0.6949869526
-70	5	2.13371194848307	-1.498291632	0.8748278642	0.7273186733
-70	-2.84217e-14	2.20635074630477	-1.573291515	0.7000000000	0.7546163985
-70	-5	2.27699213168257	-1.632478250	0.5134323279	0.7761586082
-70	-10	2.34498631938658	-1.673926661	0.3166780755	0.7912445962
-70	-15	2.40966522232947	-1.695809084	0.1116347293	0.7992091466
-70	-20	2.47033923320214	-1.696444053	-0.09944025663	0.7994402566
-70	-25	2.52629553418579	-1.674355718	-0.3139187227	0.7914007599
-70	-30	2.57679966092478	-1.628345652	-0.5288009350	0.7746544655
-70	-35	2.62110168205927	-1.557576839	-0.7407308131	0.7488967241
-70	-40	2.65844749125130	-1.461666736	-0.9460338348	0.7139883015
-70	-45	2.68809551491797	-1.340783828	-1.140783828	0.6699905209

-65	45	1.55382479557748	-0.5434600625	1.743460063	0.4865734181
-65	40	1.61895551804648	-0.6679149457	1.679997000	0.5446076833
-65	35	1.68619362374855	-0.7903199225	1.603491736	0.6016860613
-65	30	1.75505738731339	-0.9093431954	1.513684673	0.6571875250
-65	25	1.82507075103443	-1.023600325	1.410466500	0.7104664997
-65	20	1.89576535150901	-1.131665090	1.293877525	0.7608579272
-65	15	1.96668327804747	-1.232078642	1.164109073	0.8076815353
-65	10	2.03737677215935	-1.323354686	1.021506627	0.8502442535
-65	5	2.10740555447031	-1.403982116	0.8665768507	0.8878414417
-65	-2.84217e-14	2.17632365257482	-1.472419073	0.7000000000	0.9197541190
-65	-5	2.24367059988022	-1.527093782	0.5226522741	0.9452493545
-65	-10	2.30896155287807	-1.566410064	0.3356361525	0.9635828379
-65	-15	2.37167612424356	-1.588760100	0.1403184180	0.9740048306
-65	-20	2.43124797333284	-1.592549292	-0.06162565609	0.9757717600
-65	-25	2.48705429227655	-1.576235525	-0.2681645255	0.9681645255
-65	-30	2.53840875835604	-1.538388680	-0.4768642530	0.9505162517
-65	-35	2.58456026533881	-1.477773818	-0.6848521363	0.9222510775
-65	-40	2.62469639378231	-1.393456684	-0.8887988049	0.8829333520
-65	-45	2.65795487663332	-1.284930817	-1.084930817	0.8323269092

-60	45	1.55337955337127	-0.5169256266	1.716925627	0.5871222843
-60	40	1.61637809651001	-0.6324069124	1.650202223	0.6537954357
-60	35	1.68083134599567	-0.7446765214	1.571531883	0.7186143247
-60	30	1.74630663042580	-0.8526832994	1.480972067	0.7809720670
-60	25	1.81241220723312	-0.9554001652	1.378664243	0.8402756772
-60	20	1.87880136311282	-1.051823672	1.264817625	0.8959458148
-60	15	1.94516120473836	-1.140957489	1.139693234	0.9474072478
-60	10	2.01120400283099	-1.221794690	1.003598859	0.9940786279
-60	5	2.07665719209499	-1.293297857	0.8568932328	1.035361001
-60	-2.84217e-14	2.14125448713447	-1.354380782	0.7000000000	1.070627244
-60	-5	2.20471413865394	-1.403881467	0.5334319550	1.099206477
-60	-10	2.26672536458310	-1.440546902	0.3578292239	1.120375276
-60	-15	2.32693133420698	-1.463022596	0.1740096806	1.133351624
-60	-20	2.38491200999070	-1.469853219	-0.01696793755	1.137295286
-60	-25	2.44016674849609	-1.459498548	-0.2137291792	1.131317014
-60	-30	2.49209773957657	-1.430370609	-0.4144999905	1.114499990
-60	-35	2.53999629956393	-1.380898858	-0.6170195587	1.085937462
-60	-40	2.58303376367254	-1.309629378	-0.8184593435	1.044790008
-60	-45	2.62026047164987	-1.215363136	-1.015363136	0.9903653683

-55	45	1.55295377526132	-0.4840870448	1.684087045	0.6890651671
-55	40	1.61341477074485	-0.5891563563	1.613910697	0.7626354910
-55	35	1.67462114037084	-0.6899267946	1.533195711	0.8331957115
-55	30	1.73621876784869	-0.7856915963	1.442294389	0.9002509476
-55	25	1.79792652560185	-0.8758208918	1.341555818	0.9633601597
-55	20	1.85952539021501	-0.9597359578	1.231300439	1.022118121
-55	15	1.92084934641231	-1.036882425	1.111806405	1.076136659
-55	10	1.98176948681113	-1.106697171	0.9833040610	1.125021471
-55	5	2.04217702160902	-1.168573997	0.8459813090	1.168348091
-55	-2.84217e-14	2.10196871841754	-1.221831973	0.7000000000	1.205639727
-55	-5	2.16102875260829	-1.265682576	0.5455227912	1.236344250
-55	-10	2.21921677967607	-1.299204875	0.3827516368	1.259816816
-55	-15	2.27634402734973	-1.321315729	0.2119799212	1.275299003
-55	-20	2.33215285191279	-1.330750682	0.03366124524	1.281905428
-55	-25	2.38629432234015	-1.326055479	-0.1515036540	1.278617812
-55	-30	2.43830273654520	-1.305593509	-0.3424598986	1.264290186
-55	-35	2.48756898229725	-1.267578895	-0.5376720669	1.237672067
-55	-40	2.53331403331206	-1.210146164	-0.7349830159	1.197457236
-55	-45	2.57456767333853	-1.131470771	-0.9314707712	1.142368132

-50	45	1.55262431214188	-0.4441825215	1.644182521	0.7922632055
-50	40	1.61013033175917	-0.5375687547	1.570623559	0.8706235594
-50	35	1.66765485533818	-0.6257718218	1.488273916	0.9446347205
-50	30	1.72494772402245	-0.7084689408	1.397709868	1.014025843
-50	25	1.78185260764784	-0.7854289499	1.299405363	1.078602958
-50	20	1.83829001717993	-0.8564730505	1.193715814	1.138216036
-50	15	1.89423396093429	-0.9214323786	1.080871658	1.192723385
-50	10	1.94969440286754	-0.9801112308	0.9609835444	1.241960788
-50	5	2.00470635462911	-1.032256794	0.8340550991	1.285716110
-50	-2.84217e-14	2.05931165387096	-1.077524249	0.7000000000	1.323700016
-50	-5	2.11354350123617	-1.115444268	0.5586669400	1.355518689
-50	-10	2.16741232157508	-1.145391870	0.4098730195	1.380647711
-50	-15	2.22088750384194	-1.166553062	0.2534484530	1.398404059
-50	-20	2.27387734665351	-1.177892668	0.08929701266	1.407919119
-50	-25	2.32620503002608	-1.178124934	-0.08252250791	1.408114013
-50	-30	2.37757663074884	-1.165689616	-0.2616863484	1.397679543
-50	-35	2.42754388035451	-1.138744665	-0.4474613674	1.375070044
-50	-40	2.47546255680464	-1.095189254	-0.6385227145	1.338522715
-50	-45	2.52044335153850	-1.032733025	-0.8327330252	1.286115716

-45	45	1.55249771131993	-0.3963349715	1.596334972	0.8963349715
-45	40	1.60662722189211	-0.4770227927	1.519819465	0.9770227927
-45	35	1.66005975073980	-0.5519587385	1.436589439	1.051958738
-45	30	1.71268047946081	-0.6212125626	1.347332375	1.121212563
-45	25	1.76447080620208	-0.6849179026	1.252536292	1.184917903
-45	20	1.81548123554100	-0.7432253538	1.152497023	1.243225354
-45	15	1.86581294273043	-0.7962671807	1.047333744	1.296267181
-45	10	1.91559892168764	-0.8441256573	0.9370056189	1.344125657
-45	5	1.96498906437296	-0.8868058812	0.8213297931	1.386805881
-45	-2.84217e-14	2.01413804396955	-0.9242106691	0.7000000000	1.424210669
-45	-5	2.06319755941833	-0.9561172687	0.5726062462	1.456117269
-45	-10	2.11230512174526	-0.9821492527	0.4386570973	1.482149253
-45	-15	2.16157072381258	-1.001743891	0.2976089372	1.501743891
-45	-20	2.21106024970671	-1.014114334	0.1489074513	1.514114334
-45	-25	2.26077352117549	-1.018206484	-0.007951310177	1.518206484
-45	-30	2.31061420569981	-1.012652071	-0.1733300806	1.512652071
-45	-35	2.36034845598572	-0.9957227793	-0.3473163651	1.495722779
-45	-40	2.40954912559694	-0.9652959839	-0.5295293196	1.465295984
-45	-45	2.45752288116089	-0.9188514970	-0.7188514970	1.418851497


### -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	2.74003854744741	-1.437499838	-1.237499838	2.372752974e-16
-40	-90	2.75322485952242	-1.269738826	-1.409092604	2.582893507e-16
-35	-90	2.75694726002091	-1.081319985	-1.558358984	2.765692101e-16
-30	-90	2.75116052704243	-0.8755802635	-1.682574906	2.917812733e-16
-25	-90	2.73594321192910	-0.6562595644	-1.779606638	3.036642332e-16
-20	-90	2.71149754050843	-0.4273867774	-1.847974230	3.120368485e-16
-15	-90	2.67814842692832	-0.1931558185	-1.886892732	3.168029904e-16
-10	-90	2.63634015902697	0.04220433567	-1.896288228	3.179536068e-16
-5	-90	2.58663121105959	0.2745602356	-1.876788298	3.155655542e-16
-2.84217e-14	-90	2.52968704718202	0.5000000000	-1.829687047	3.097973145e-16
5	-90	2.46627069674468	0.7149496544	-1.756885792	3.008817321e-16
10	-90	2.39723090030400	0.9162747773	-1.660811576	2.891160340e-16
15	-90	2.32348754868901	1.101362829	-1.544316630	2.748495178e-16
20	-90	2.24601380788603	1.268181964	-1.410562601	2.584693734e-16
25	-90	2.16581715884692	1.415313883	-1.262896956	2.403855475e-16
30	-90	2.08391900325673	1.541959502	-1.104726796	2.210152894e-16
35	-90	2.00133054260961	1.647916041	-0.9393940053	2.007678621e-16
40	-90	1.91902734040300	1.733526997	-0.7700602303	1.800304556e-16
45	-90	1.83792459952491	1.799608948	-0.5996089476	1.591561938e-16

-45	-85	2.73685863085915	-1.431558661	-1.231558661	0.1689894857
-40	-85	2.74945031929640	-1.263356794	-1.401486794	0.1838562711
-35	-85	2.75261850314412	-1.074798139	-1.549044823	0.1967659258
-30	-85	2.74634894722799	-0.8692498719	-1.671610346	0.2074890196
-25	-85	2.73074719414159	-0.6504527549	-1.767153895	0.2158479969
-20	-85	2.70603683809583	-0.4224071338	-1.834292772	0.2217218876
-15	-85	2.67255744760211	-0.1892519890	-1.872323442	0.2250491401
-10	-85	2.63076007727203	0.04485954198	-1.881229805	0.2258283459
-5	-85	2.58120164211532	0.2758830533	-1.861668422	0.2241169467
-2.84217e-14	-85	2.52453788118429	0.5000000000	-1.814931252	0.2200279741
5	-85	2.46151467160139	0.7137249347	-1.742887182	0.2137249347
10	-85	2.39295749479977	0.9139988970	-1.647904418	0.2054150196
15	-85	2.31975887364106	1.098265313	-1.532756544	0.1953408860
20	-85	2.24286181929832	1.264524604	-1.400514086	0.1837711701
25	-85	2.16324362679823	1.411365796	-1.254430256	0.1709904911
30	-85	2.08189856571512	1.537974197	-1.097824047	0.1572892231
35	-85	1.99981504168619	1.644112416	-0.9339618663	0.1429531399
40	-85	1.91795143658132	1.730075944	-0.7659474251	0.1282537810
45	-85	1.83721223647825	1.796626419	-0.5966264194	0.1134401125

-45	-80	2.72726032275000	-1.413647232	-1.213647232	0.3374276386
-40	-80	2.73808984998789	-1.244170893	-1.378621928	0.3665171285
-35	-80	2.73962640416588	-1.055245727	-1.521121085	0.3916435747
-30	-80	2.73194252087304	-0.8503183510	-1.638819990	0.4123970673
-25	-80	2.71522211356754	-0.6331247272	-1.729993819	0.4284734733
-20	-80	2.68975008457196	-0.4075746848	-1.793540953	0.4396785475
-15	-80	2.65590640415707	-0.1776407556	-1.828989729	0.4459291232
-10	-80	2.61415945881432	0.05274902702	-1.836486312	0.4472509730
-5	-80	2.56505971061134	0.2798114710	-1.816766403	0.4437738210
-2.84217e-14	-80	2.50923339738095	0.5000000000	-1.771112504	0.4357238068
5	-80	2.44737603338106	0.7100863876	-1.701298399	0.4234136964
10	-80	2.38024539220680	0.9072311136	-1.609522411	0.4072311136
15	-80	2.30865363334574	1.089041011	-1.498330980	0.3876250642
20	-80	2.23345698328788	1.253612400	-1.370533053	0.3650908417
25	-80	2.15554777806618	1.399559736	-1.229112079	0.3401545084
30	-80	2.07584165150361	1.526027105	-1.077131076	0.3133561569
35	-80	1.99525966661727	1.632679648	-0.9176341813	0.2852325511
40	-80	1.91470840019802	1.719674606	-0.7535515939	0.2563003638
45	-80	1.83505873104470	1.787612712	-0.5876127122	0.2270408619

-45	-75	2.71108729719971	-1.383518657	-1.183518657	0.5046873030
-40	-75	2.71904817709178	-1.212075916	-1.340372624	0.5467161969
-35	-75	2.71796190194957	-1.022711006	-1.474656688	0.5826975034
-30	-75	2.70803480699674	-0.8189713002	-1.584525306	0.6121367108
-25	-75	2.68956714034939	-0.6045569672	-1.668730060	0.6346993067
-20	-75	2.66293375889012	-0.3832102473	-1.726600211	0.6502055669
-15	-75	2.62857012199697	-0.1586219084	-1.758010425	0.6586219084
-10	-75	2.58696420554712	0.06564633522	-1.763342042	0.6600505109
-5	-75	2.53865037058908	0.2862268280	-1.743438537	0.6547173827
-2.84217e-14	-75	2.48420494964460	0.5000000000	-1.699557719	0.6429595529
5	-75	2.42424329027585	0.7041392481	-1.633322283	0.6252118214
10	-75	2.35941772464907	0.8961484018	-1.546669229	0.6019932055
15	-75	2.29041617594618	1.073893106	-1.441798231	0.5738931064
20	-75	2.21796461222555	1.235628165	-1.321121771	0.5415579465
25	-75	2.14282466053718	1.380019641	-1.187208210	0.5056759157
30	-75	2.06578775157871	1.506159430	-1.042719253	0.4669602164
35	-75	1.98766559370358	1.613569794	-0.8903424821	0.4261309838
40	-75	1.90927807891632	1.702196064	-0.7327214784	0.3838965631
45	-75	1.83143659658194	1.772384331	-0.5723843314	0.3409343541

-45	-70	2.68809558530000	-1.340783876	-1.140783876	0.6699905385
-40	-70	2.69218690931254	-1.166924307	-1.286563032	0.7230498120
-35	-70	2.68762678353749	-0.9772974081	-1.409799349	0.7679041632
-30	-70	2.67479119615192	-0.7755302528	-1.509283204	0.8041133255
-25	-70	2.65411482746235	-0.5652184906	-1.584368425	0.8314421108
-20	-70	2.62607198296043	-0.3498378003	-1.634910167	0.8498378003
-15	-70	2.59115260964537	-0.1326788437	-1.661189590	0.8594027281
-10	-70	2.54985489644383	0.08318934401	-1.663850696	0.8603712914
-5	-70	2.50268130966389	0.2949402550	-1.643843611	0.8530893081
-2.84217e-14	-70	2.45013769817093	0.5000000000	-1.602376315	0.8379964467
5	-70	2.39273498183848	0.6960511805	-1.540875247	0.8156118888
10	-70	2.33099275594658	0.8810344742	-1.460953886	0.7865228922
15	-70	2.26544810930022	1.053151939	-1.364391141	0.7513769271
20	-70	2.19666688593377	1.210875622	-1.253114720	0.7108756220
25	-70	2.12524572769825	1.352958969	-1.129176411	0.6657657670
30	-70	2.05181537582460	1.478451174	-0.9947271454	0.6168302361
35	-70	1.97704145037659	1.586712719	-0.8519866039	0.5648769278
40	-70	1.90162379390772	1.677430480	-0.7032070046	0.5107255822
45	-70	1.82629153394773	1.750628150	-0.5506281497	0.4551914206

-45	-65	2.65795494482896	-1.284930863	-1.084930863	0.8323269306
-40	-65	2.65733428167541	-1.108555390	-1.217001665	0.8939125570
-35	-65	2.64864744454711	-0.9191911565	-1.326815021	0.9451193661
-30	-65	2.63245608024737	-0.7204667385	-1.413910400	0.9857326082
-25	-65	2.60932833623737	-0.5157635635	-1.478311992	1.015763563
-20	-65	2.57982047365568	-0.3081682668	-1.520424064	1.035400746
-15	-65	2.54445743208719	-0.1004554949	-1.540930414	1.044963014
-10	-65	2.50372597126027	0.1049015078	-1.540714896	1.044862516
-5	-65	2.45807547545787	0.3057049481	-1.520802605	1.035577262
-2.84217e-14	-65	2.40792218332951	0.5000000000	-1.482318625	1.017631888
5	-65	2.35365640484153	0.6860413961	-1.426462888	0.9915859296
10	-65	2.29565281709073	0.8622636730	-1.354499383	0.9580287959
15	-65	2.23428737381932	1.027259805	-1.267760383	0.9175817359
20	-65	2.16994853135372	1.179769605	-1.167651639	0.8709002622
25	-65	2.10304805161601	1.318677954	-1.055660538	0.8186779538
30	-65	2.03403218081613	1.443023757	-0.9333650591	0.7616506356
35	-65	1.96339822328288	1.552022760	-0.8024442079	0.7006012401
40	-65	1.89170293846411	1.645098296	-0.6646750081	0.6363584072
45	-65	1.81956007088003	1.721912709	-0.5219127090	0.5697872538

-45	-60	2.62026056296492	-1.215363196	-1.015363196	0.9903654028
-40	-60	2.61431055803075	-1.036845685	-1.131541366	1.057440901
-35	-60	2.60110703346122	-0.8487062316	-1.226152116	1.112064443
-30	-60	2.58138335483862	-0.6544297315	-1.299530949	1.154429731
-25	-60	2.55581421103476	-0.4570337858	-1.352365577	1.184933818
-20	-60	2.52500061940056	-0.2590822969	-1.385561470	1.204099476
-15	-60	2.48946399903349	-0.06272995457	-1.400136781	1.212514536
-10	-60	2.44964873976771	0.1302162478	-1.397147871	1.210788888
-5	-60	2.40592748465362	0.3182301140	-1.377639304	1.199525611
-2.84217e-14	-60	2.35861150291299	0.5000000000	-1.342617479	1.179305751
5	-60	2.30796570846330	0.6743687897	-1.293044387	1.150684713
10	-60	2.25422083371383	0.8402831699	-1.229841755	1.114194657
15	-60	2.19758980036818	0.9967533610	-1.153908782	1.070354734
20	-60	2.13828372037677	1.142824919	-1.066146949	1.019685416
25	-60	2.07652836712306	1.277563485	-0.9674902743	0.9627259587
30	-60	2.01258522524313	1.400055475	-0.8589418120	0.9000554748
35	-60	1.94677242477543	1.509425628	-0.7416091986	0.8323134589
40	-60	1.87947483919427	1.604865980	-0.6167280009	0.7602132657
45	-60	1.81116119706742	1.685683326	-0.4856833259	0.6845545874

-45	-55	2.57456773944424	-1.131470813	-0.9314708131	1.142368162
-40	-55	2.56296661279328	-0.9517795707	-1.030163519	1.211473538
-35	-55	2.54517643147780	-0.7663342392	-1.108512720	1.266334239
-30	-55	2.52205240323845	-0.5782658171	-1.167611179	1.307715426
-25	-55	2.49431842501427	-0.3900499965	-1.208718377	1.336498996
-20	-55	2.46256864275558	-0.2036009332	-1.233127676	1.353590571
-15	-55	2.42727642842090	-0.02037812376	-1.242077597	1.359857373
-10	-55	2.38880805408248	0.1585076987	-1.236699080	1.356091295
-5	-55	2.34743788593370	0.3321976735	-1.217989369	1.342990614
-2.84217e-14	-55	2.30336431232484	0.5000000000	-1.186805585	1.321155494
5	-55	2.25672567462457	0.6613179291	-1.143872367	1.291093331
10	-55	2.20761550885023	0.8155899024	-1.089799276	1.253230945
15	-55	2.15609827152205	0.9622408721	-1.025106420	1.207932520
20	-55	2.10222451647160	1.100644021	-0.9502558848	1.155521611
25	-55	2.04605655099258	1.230096289	-0.8656965447	1.096312523
30	-55	1.98768017311420	1.349802955	-0.7719018952	1.030636802
35	-55	1.92722812209080	1.458878500	-0.6694204178	0.9588784995
40	-55	1.86490483765163	1.556365983	-0.5589279550	0.8815108441
45	-55	1.80101407529773	1.641279700	-0.4412797002	0.7991326493

-45	-50	2.52044320511799	-1.032732936	-0.8327329362	1.286115641
-40	-50	2.50322500640732	-0.8535343209	-0.9130793896	1.353534321
-35	-50	2.48114310445844	-0.6727968678	-0.9749275091	1.405431055
-30	-50	2.45508022124246	-0.4930351361	-1.019987309	1.443240717
-25	-50	2.42572965388821	-0.3160020410	-1.049922024	1.468358925
-20	-50	2.39361412474488	-0.1428611018	-1.066246361	1.482056670
-15	-50	2.35911118048586	0.02565596168	-1.070276051	1.485437982
-10	-50	2.32247865722812	0.1891160425	-1.063110536	1.479425401
-5	-50	2.28387725812643	0.3472766890	-1.045635433	1.464762048
-2.84217e-14	-50	2.24338971877084	0.5000000000	-1.018536228	1.442023115
5	-50	2.20103728802610	0.6471837863	-0.9823183755	1.411632728
10	-50	2.15679466547258	0.7887057149	-0.9373314721	1.373884234
15	-50	2.11060524772256	0.9243772082	-0.8837973024	1.328963732
20	-50	2.06239234465271	1.053903740	-0.8218380174	1.276973719
25	-50	2.01207403072989	1.176850577	-0.7515107464	1.217962132
30	-50	1.95957895262288	1.292613917	-0.6728475758	1.151955895
35	-50	1.90487568152084	1.400404426	-0.5859107863	1.079007267
40	-50	1.84799116319492	1.499238765	-0.4908463881	0.9992387651
45	-50	1.78904067237827	1.587952134	-0.3879521336	0.9129002341

-45	-45	2.45752267545056	-0.9188513782	-0.7188513782	1.418851378
-40	-45	2.43515818405309	-0.7425969462	-0.7808693748	1.480869375
-35	-45	2.40946144687106	-0.5691084183	-0.8268450566	1.526845057
-30	-45	2.38123608124019	-0.4000226406	-0.8588849414	1.558884941
-25	-45	2.35105390248459	-0.2362222155	-0.8788336362	1.578833636
-20	-45	2.31930165926971	-0.07807102399	-0.8882370852	1.588237085
-15	-45	2.28622046046300	0.07440454265	-0.8883438703	1.588343870
-10	-45	2.25193909759296	0.2213810191	-0.8801267612	1.580126761
-5	-45	2.21649974119157	0.3631404826	-0.8643114420	1.564311442
-2.84217e-14	-45	2.17987728652160	0.5000000000	-0.8414060115	1.541406011
5	-45	2.14199439429634	0.6322591262	-0.8117287304	1.511728730
10	-45	2.10273423358079	0.7601587538	-0.7754336108	1.475433611
15	-45	2.06194646585870	0.8838453309	-0.7325302772	1.432530277
20	-45	2.01945573438330	1.003336355	-0.6829052709	1.382905271
25	-45	1.97507368346739	1.118485659	-0.6263467767	1.326346777
30	-45	1.92861077623385	1.228946356	-0.5625721240	1.262572124
35	-45	1.87989034664117	1.334131045	-0.4912625896	1.191262590
40	-45	1.82877322442323	1.433174707	-0.4121143092	1.112114309
45	-45	1.77519492334704	1.524909267	-0.3249092669	1.024909267