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# N_patches = 5
# origin = 0.4 0.6 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	2.36781135187752	-0.9670565214	-0.7670565214	1.367056521
-40	-45	2.35127181217036	-0.7997919448	-0.8298563606	1.429856361
-35	-45	2.33202937709569	-0.6347508328	-0.8777773394	1.477777339
-30	-45	2.31073197725082	-0.4733745940	-0.9127291709	1.512729171
-25	-45	2.28783588362452	-0.3164257703	-0.9363800223	1.536380022
-20	-45	2.26365120688269	-0.1642005066	-0.9501281519	1.550128152
-15	-45	2.23837151961878	-0.01668805221	-0.9551009818	1.555100982
-10	-45	2.21209935921395	0.1263101521	-0.9521722588	1.552172259
-5	-45	2.18486806065426	0.2650936056	-0.9419871444	1.541987144
0	-45	2.15665717479583	0.4000000000	-0.9249869130	1.524986913
5	-45	2.12740086443281	0.5313580373	-0.9014292364	1.501429236
10	-45	2.09699432889910	0.6594485897	-0.8714060698	1.471406070
15	-45	2.06530736213235	0.7844709846	-0.8348652484	1.434865248
20	-45	2.03217885782171	0.9065075121	-0.7916179523	1.391617952
25	-45	1.99743112829967	1.025486795	-0.7413607608	1.341360761
30	-45	1.96087513791895	1.141141138	-0.6836941068	1.283694107
35	-45	1.92232230033080	1.252958638	-0.6181511787	1.218151179
40	-45	1.88159683094880	1.360129199	-0.5442374220	1.144237422
45	-45	1.83856667914639	1.461496967	-0.4614969671	1.061496967

-45	-40	2.32684012420019	-1.014998953	-0.5873250993	1.414998953
-40	-40	2.30880898078092	-0.8484104257	-0.6484104257	1.487797610
-35	-40	2.28800203000593	-0.6815021550	-0.6960272632	1.544545147
-30	-40	2.26504650708898	-0.5161699674	-0.7315277099	1.586852932
-25	-40	2.24041208531635	-0.3536622358	-0.7561812529	1.616233880
-20	-40	2.21443414738814	-0.1947381248	-0.7711136080	1.634029568
-15	-40	2.18733979430233	-0.03980614385	-0.7772804081	1.641378874
-10	-40	2.15926869033106	0.1109631154	-0.7754601951	1.639209629
-5	-40	2.13029318156851	0.2575468857	-0.7662610772	1.628246547
0	-40	2.10043458660791	0.4000000000	-0.7501333272	1.609026243
5	-40	2.06967168335069	0.5383993431	-0.7273815492	1.581911730
10	-40	2.03795092242130	0.6727974468	-0.6981804377	1.547111200
15	-40	2.00519600462669	0.8031826810	-0.6625917467	1.504698250
20	-40	1.97131244882140	0.9294421017	-0.6205796806	1.454630219
25	-40	1.93619936795448	1.051326760	-0.5720331727	1.396774744
30	-40	1.89975558176758	1.168416456	-0.5167881946	1.330936343
35	-40	1.86189258306296	1.280086999	-0.4546597062	1.256894494
40	-40	1.82255045879382	1.385482564	-0.3854825640	1.174452386
45	-40	1.78171557074131	1.483497590	-0.3091624280	1.083497590

-45	-35	2.28516026656640	-1.048076980	-0.4139544176	1.448076980
-40	-35	2.26519264392585	-0.8831070009	-0.4707205211	1.529147378
-35	-35	2.24248089767848	-0.7157302521	-0.5157302521	1.593427936
-30	-35	2.21763494508108	-0.5481166818	-0.5498712015	1.642186264
-25	-35	2.19112904831766	-0.3818626452	-0.5740448788	1.676709854
-20	-35	2.16332273692667	-0.2181009008	-0.5891052328	1.698218268
-15	-35	2.13446695518595	-0.05760338475	-0.5958137907	1.707799082
-10	-35	2.10473980875997	0.09911670393	-0.5948299187	1.706393967
-5	-35	2.07425268509290	0.2517258206	-0.5866988703	1.694781626
0	-35	2.04306717448979	0.4000000000	-0.5718551892	1.673582653
5	-35	2.01120579487800	0.5437673872	-0.5506291697	1.643268755
10	-35	1.97866634402842	0.6828604509	-0.5232598620	1.604181333
15	-35	1.94542195698181	0.8170744692	-0.4899032188	1.556543109
20	-35	1.91143823738816	0.9461328891	-0.4506528552	1.500487781
25	-35	1.87667491641958	1.069655681	-0.4055549109	1.436081242
30	-35	1.84110275230876	1.187135969	-0.3546345933	1.363359492
35	-35	1.80470178634447	1.297916402	-0.2979164019	1.282357520
40	-35	1.76749092074360	1.401186359	-0.2354648356	1.193167440
45	-35	1.72951707830156	1.495972963	-0.1674085304	1.095972963

-45	-30	2.24330195622864	-1.068585860	-0.2478884417	1.468585860
-40	-30	2.22103799780483	-0.9056569168	-0.2983693287	1.556021321
-35	-30	2.19614976025497	-0.7387308669	-0.3389310121	1.626276218
-30	-30	2.16923060671008	-0.5701094191	-0.3701094191	1.680278803
-25	-30	2.14075484480082	-0.4016133194	-0.3925028201	1.719065311
-20	-30	2.11110188111190	-0.2346533353	-0.4067231864	1.743695708
-15	-30	2.08055633433844	-0.07029857510	-0.4133525930	1.755178177
-10	-30	2.04932708267145	0.09064631763	-0.4129217382	1.754431915
-5	-30	2.01756242321605	0.2475714277	-0.4058980642	1.742266554
0	-30	1.98536419786964	0.4000000000	-0.3926820989	1.719375831
5	-30	1.95279554471039	0.5475353791	-0.3736071784	1.686337100
10	-30	1.91989656394499	0.6898156555	-0.3489480626	1.643626258
15	-30	1.88668079355955	0.8264740513	-0.3189238679	1.591622828
20	-30	1.85316085837257	0.9571094082	-0.2837186026	1.530645519
25	-30	1.81934110492228	1.081258793	-0.2434880723	1.460964197
30	-30	1.78524181096564	1.198384409	-0.1983844091	1.382842361
35	-30	1.75088008954184	1.307853025	-0.1485626182	1.296548487
40	-30	1.71630930123805	1.408947669	-0.09421578396	1.202417009
45	-30	1.68160417001451	1.500868343	-0.03558663393	1.100868343

-45	-25	2.20157516702496	-1.078452248	-0.08941360528	1.478452248
-40	-25	2.17675655128706	-0.9176488585	-0.1322488661	1.570312761
-35	-25	2.14950080443639	-0.7517397451	-0.1670083997	1.644854821
-30	-25	2.12038785724862	-0.5830602197	-0.1939868280	1.702710247
-25	-25	2.08990011665015	-0.4135597044	-0.2135597044	1.744684416
-20	-25	2.05843324548570	-0.2448357339	-0.2261440432	1.771671618
-15	-25	2.02630056285873	-0.07817789830	-0.2321652845	1.784584212
-10	-25	1.99374332907847	0.08537891439	-0.2320350127	1.784304843
-5	-25	1.96094402488835	0.2449999909	-0.2261377913	1.771658211
0	-25	1.92803872021190	0.4000000000	-0.2148243725	1.747396506
5	-25	1.89512538726828	0.5497974692	-0.1984086653	1.712192908
10	-25	1.86227382076946	0.6938746441	-0.1771697588	1.666645926
15	-25	1.82952977414173	0.8317428117	-0.1513550521	1.611286109
20	-25	1.79693803310332	0.9629183545	-0.1211939738	1.546605468
25	-25	1.76452942840218	1.086898876	-0.08689887555	1.473059392
30	-25	1.73233793799928	1.203151418	-0.04868014580	1.391099062
35	-25	1.70040360302183	1.311105689	-0.006756621657	1.301193774
40	-25	1.66878235140888	1.410158513	0.03863084555	1.203860037
45	-25	1.63754663214989	1.499682870	0.08720945603	1.099682870

-45	-20	2.16011992310042	-1.079230852	0.06160400011	1.479230852
-40	-20	2.13259808840676	-0.9204430861	0.02724086447	1.573642792
-35	-20	2.10287496641770	-0.7558791408	-0.0008298664463	1.650766491
-30	-20	2.07152794092858	-0.5878515235	-0.02275635711	1.711009029
-25	-20	2.03905004111663	-0.4183646708	-0.03876364830	1.754988700
-20	-20	2.00585468961151	-0.2491258230	-0.04912582299	1.783458541
-15	-20	1.97227769327115	-0.08156884539	-0.05414164485	1.797239398
-10	-20	1.93859337669993	0.08310887880	-0.05411960869	1.797178854
-5	-20	1.90501278184217	0.2439108352	-0.04936195816	1.784107317
0	-20	1.87169435936332	0.4000000000	-0.04015717305	1.758817378
5	-20	1.83876272990762	0.5506608992	-0.02677929422	1.722061958
10	-20	1.80630896642884	0.6952673214	-0.009484241764	1.674544192
15	-20	1.77440061491760	0.8332534198	0.01148787474	1.616923775
20	-20	1.74309313411121	0.9640920906	0.03590790943	1.549830281
25	-20	1.71242882110986	1.087276536	0.06355545025	1.473869287
30	-20	1.68243573307851	1.202304748	0.09421510205	1.389632586
35	-20	1.65315670339524	1.308684244	0.1276628724	1.297735592
40	-20	1.62463331251856	1.405925981	0.1636666952	1.198815902
45	-20	1.59691238372628	1.493551354	0.2019798575	1.093551354

-45	-15	2.11899230712381	-1.072162681	0.2055351985	1.472162681
-40	-15	2.08869881711435	-0.9151701289	0.1800274951	1.567358726
-35	-15	2.05649133858789	-0.7521287304	0.1591136256	1.645410350
-30	-15	2.02294860496957	-0.5852942602	0.1427233425	1.706579719
-25	-15	1.98857335773243	-0.4166713982	0.1307251815	1.751357465
-20	-15	1.95379446724167	-0.2480113479	0.1229441833	1.780396546
-15	-15	1.91896794265341	-0.08082199442	0.1191780056	1.794452113
-10	-15	1.88438632520653	0.08360980625	0.1192085944	1.794337954
-5	-15	1.85028093783982	0.2441926349	0.1228129454	1.780886332
0	-15	1.81683059835383	0.4000000000	0.1297696394	1.754923597
5	-15	1.78417313041545	0.5502405979	0.1398621347	1.717257892
10	-15	1.75240903521012	0.6942310856	0.1528819160	1.668667407
15	-15	1.72161459472928	0.8313725856	0.1686274144	1.609904406
20	-15	1.69184386751476	0.9611306836	0.1869043692	1.541693883
25	-15	1.66313150971406	1.083018270	0.2075247945	1.464737408
30	-15	1.63550303213127	1.196585611	0.2303033314	1.379726750
35	-15	1.60897578688169	1.301412613	0.2550554394	1.287350626
40	-15	1.58357074506077	1.397111179	0.2815930727	1.188310830
45	-15	1.55930012251366	1.483318444	0.3097256978	1.083318444

-45	-10	2.07817059192717	-1.058197946	0.3428803589	1.458197946
-40	-10	2.04511241174970	-0.9027423264	0.3262439256	1.552547848
-35	-10	2.01048179041106	-0.7413210242	0.3125913686	1.629975346
-30	-10	1.97485582052353	-0.5761127969	0.3018880366	1.690676958
-25	-10	1.93874599478163	-0.4090833584	0.2940577251	1.735084861
-20	-10	1.90258710638567	-0.2419703835	0.2889946244	1.763799133
-15	-10	1.86674710887431	-0.07629085101	0.2865714469	1.777541655
-10	-10	1.83152583064556	0.08664814725	0.2866481473	1.777106666
-5	-10	1.79716382311998	0.2457287926	0.2890777032	1.763327969
0	-10	1.76385007419860	0.4000000000	0.2937106489	1.737053228
5	-10	1.73172555593385	0.5486538895	0.3003989951	1.699121732
10	-10	1.70088658313023	0.6910010622	0.3089989378	1.650349033
15	-10	1.67140685212679	0.8264507968	0.3193692553	1.591536041
20	-10	1.64333161135111	0.9544924704	0.3313736841	1.523455542
25	-10	1.61668088239635	1.074678169	0.3448809549	1.446852002
30	-10	1.59146591507425	1.186614511	0.3597621944	1.362456299
35	-10	1.56767666713473	1.289947050	0.3758926206	1.270976106
40	-10	1.54530955054170	1.384366506	0.3931468833	1.173122320
45	-10	1.52434453301388	1.469592687	0.4114019510	1.069592687

-45	-5	2.03756887874280	-1.038029634	0.4741887092	1.438029634
-40	-5	2.00183021836521	-0.8838715038	0.4661372287	1.530058477
-35	-5	1.96491251149758	-0.7241443602	0.4595418039	1.605444527
-30	-5	1.92738943691627	-0.5609404305	0.4543840741	1.664397649
-25	-5	1.88977213189765	-0.3961533605	0.4506256712	1.707356391
-20	-5	1.85249083597301	-0.2314587955	0.4482142744	1.734918782
-15	-5	1.81591247147732	-0.06832343451	0.4470867144	1.747806852
-10	-5	1.78033364760559	0.09198944488	0.4471735198	1.746814662
-5	-5	1.74599020476849	0.2484016176	0.4484016176	1.732777440
0	-5	1.71306563327313	0.4000000000	0.4506964924	1.706546901
5	-5	1.68169303291444	0.5460156780	0.4539843220	1.668966836
10	-5	1.65196210867346	0.6858013535	0.4581931231	1.620860020
15	-5	1.62393168203639	0.8188116303	0.4632529194	1.563026283
20	-5	1.59763029634222	0.9445844498	0.4690965326	1.496233479
25	-5	1.57306349572103	1.062725292	0.4756594512	1.421218976
30	-5	1.55021983860018	1.172894616	0.4828795609	1.338692744
35	-5	1.52907073358864	1.274795306	0.4906971605	1.249337172
40	-5	1.50958503261977	1.368170621	0.4990537589	1.153820816
45	-5	1.49172101926194	1.452793382	0.5078925140	1.052793382

-45	0	1.99707344095350	-1.012144173	0.6000000000	1.412144173
-40	0	1.95880655229985	-0.8590965816	0.6000000000	1.500532875
-35	0	1.91980742987169	-0.7011563041	0.6000000000	1.572614181
-30	0	1.88064055494204	-0.5403202775	0.6000000000	1.628682496
-25	0	1.84180071724616	-0.3783786176	0.6000000000	1.669238332
-20	0	1.80370336980481	-0.2169028851	0.6000000000	1.694926747
-15	0	1.76669856202168	-0.05725523481	0.6000000000	1.706499768
-10	0	1.73106380292303	0.09940392520	0.6000000000	1.704765054
-5	0	1.69701528152563	0.2520953727	0.6000000000	1.690557626
0	0	1.66471686132376	0.4000000000	0.6000000000	1.664716861
5	0	1.63428673015205	0.5424374738	0.6000000000	1.628067776
10	0	1.60579661645752	0.6788436562	0.6000000000	1.581400958
15	0	1.57928681935876	0.8087495065	0.6000000000	1.525473926
20	0	1.55476839172660	0.9317621082	0.6000000000	1.461004385
25	0	1.53223173123397	1.047549111	0.6000000000	1.388673550
30	0	1.51164687982985	1.155823440	0.6000000000	1.309124599
35	0	1.49297234045020	1.256333755	0.6000000000	1.222971345
40	0	1.47615671147890	1.348855244	0.6000000000	1.130801646
45	0	1.46114598620504	1.433186235	0.6000000000	1.033186235

-45	5	1.95655120988116	-0.9808508017	0.7208087912	1.380850802
-40	5	1.91597081854869	-0.8288056767	0.7281213367	1.464433580
-35	5	1.87516004024812	-0.6727961532	0.7340424039	1.532111688
-30	5	1.83466174456950	-0.5147090945	0.7386102691	1.584322626
-25	5	1.79493814996016	-0.3562001872	0.7418783127	1.621676535
-20	5	1.75637440958823	-0.1986955766	0.7439103282	1.644902578
-15	5	1.71928336830341	-0.04340280966	0.7447763991	1.654801814
-10	5	1.68390654350944	0.1086720290	0.7445490346	1.652203025
-5	5	1.65042699144659	0.2566990459	0.7433009541	1.637937400
0	5	1.61897881642493	0.4000000000	0.7411033012	1.612818113
5	5	1.58965063496440	0.5380239501	0.7380239501	1.577620968
10	5	1.56249257541067	0.6703224793	0.7341266795	1.533074962
15	5	1.53752486021594	0.7965273296	0.7294709859	1.479860141
20	5	1.51474402651907	0.9163309961	0.7241120963	1.418607753
25	5	1.49412718484028	1.029469744	0.7181011412	1.349902221
30	5	1.47563453728431	1.135708550	0.7114854555	1.274284588
35	5	1.45921895170930	1.234832465	0.7043096120	1.192264320
40	5	1.44482158646313	1.326634660	0.6966154971	1.104320185
45	5	1.43238463394251	1.410916280	0.6884437142	1.010916280

-45	10	1.91585885501126	-0.9443080457	0.8370377788	1.344308046
-40	10	1.87324233379308	-0.7932606060	0.8507497704	1.422072614
-35	10	1.83095097614834	-0.6394040142	0.8617437853	1.484422771
-30	10	1.78948943065281	-0.4844916753	0.8701302050	1.531984521
-25	10	1.74926844442493	-0.3300100124	0.8760419202	1.565511524
-20	10	1.71061964310779	-0.1771967783	0.8796255177	1.585835115
-15	10	1.67380163795347	-0.02706181398	0.8810328315	1.593816388
-10	10	1.63900210448287	0.1195866214	0.8804133786	1.590303296
-5	10	1.60635831247527	0.2621078206	0.8779115680	1.576114823
0	10	1.57596320203637	0.4000000000	0.8736631381	1.552020780
5	10	1.54787028240904	0.5328714802	0.8677927172	1.518727968
10	10	1.52210303853172	0.6604133664	0.8604133664	1.476877590
15	10	1.49866352223395	0.7823762314	0.8516269811	1.427047523
20	10	1.47753465475183	0.8985493099	0.8415244058	1.369752972
25	10	1.45868746308280	1.008743876	0.8301870188	1.305455455
30	10	1.44208204157964	1.112778483	0.8176877442	1.234568546
35	10	1.42767428547441	1.210469752	0.8040933245	1.157470761
40	10	1.41541251070666	1.301621728	0.7894652687	1.074510934
45	10	1.40524540678158	1.386023945	0.7738626252	0.9860239452

-45	15	1.87484763093854	-0.9025439995	0.9490156128	1.302544000
-40	15	1.83053849121288	-0.7526168942	0.9680644759	1.373635324
-35	15	1.78715976583818	-0.6012384071	0.9831450077	1.429916635
-30	15	1.74515145506054	-0.4499908043	0.9944821051	1.472227259
-25	15	1.70485694785567	-0.3001541592	1.002321811	1.501485440
-20	15	1.66652904058273	-0.1527345624	1.006914538	1.518625729
-15	15	1.63035208102673	-0.008505593960	1.008505594	1.524563632
-10	15	1.59644834103294	0.1319548581	1.007325521	1.520159540
-5	15	1.56489644273547	0.2682241240	1.003586455	1.506205155
0	15	1.53573934719296	0.4000000000	0.9974785914	1.483410298
5	15	1.50899188611467	0.5270682981	0.9891686818	1.452397293
10	15	1.48464992992905	0.6492740861	0.9788007359	1.413703592
15	15	1.46269715353188	0.7664975047	0.9664975047	1.367787308
20	15	1.44310870142823	0.8786331574	0.9523622426	1.315033792
25	15	1.42585607718948	0.9855735076	0.9364816034	1.255766440
30	15	1.41090828722752	1.087194837	0.9189282338	1.190256373
35	15	1.39823420346294	1.183346746	0.8997641648	1.118735093
40	15	1.38780292746838	1.273844012	0.8790440953	1.041406741
45	15	1.37958183778568	1.358459778	0.8568185236	0.9584597783

-45	20	1.83337388828339	-0.8554780827	1.056956652	1.255478083
-40	20	1.78778356104114	-0.7069438988	1.080151123	1.319204368
-35	20	1.74376952440678	-0.5584910429	1.098226869	1.368867072
-30	20	1.70168019422313	-0.4114818724	1.111570294	1.405527832
-25	20	1.66176205316852	-0.2669416288	1.120572409	1.430260939
-20	20	1.62417419897657	-0.1256080707	1.125608071	1.444096306
-15	20	1.58900857813089	0.01201354713	1.127023496	1.447985155
-10	20	1.55630954979013	0.1455986985	1.125129512	1.442781476
-5	20	1.52608985502624	0.2749582716	1.120198450	1.429233495
0	20	1.49833809564467	0.4000000000	1.112461810	1.407977252
5	20	1.47302762259029	0.5206940203	1.102111120	1.379538964
10	20	1.45012715992653	0.6370442544	1.089301481	1.344344771
15	20	1.42960477150875	0.7490650031	1.074154334	1.302728327
20	20	1.41143236038793	0.8567614979	1.056761498	1.254941901
25	20	1.39558689609470	0.9601132821	1.037188965	1.201166810
30	20	1.38205445628308	1.059061639	1.015482302	1.141528244
35	20	1.37082733592033	1.153497354	0.9916704599	1.076105744
40	20	1.36190545450449	1.243252487	0.9657715887	1.004949181
45	20	1.35529164371257	1.328091627	0.9377977268	0.9280916267

-45	25	1.79130474405221	-0.8029380439	1.160939222	1.202938044
-40	25	1.74491999000389	-0.6562466582	1.186981435	1.258785750
-35	25	1.70078172657305	-0.5113082945	1.206891548	1.301483124
-30	25	1.65911583768687	-0.3692039804	1.221261868	1.332300376
-25	25	1.62004718469386	-0.2306545936	1.230654594	1.352443140
-20	25	1.58362134284919	-0.09609363482	1.235580164	1.363006060
-15	25	1.54982819669756	0.03426275282	1.236486633	1.364949989
-10	25	1.51862794654288	0.1603541207	1.233758420	1.359099318
-5	25	1.48996171938998	0.2822281120	1.227714850	1.346138839
0	25	1.46376292455521	0.4000000000	1.218612943	1.326619737
5	25	1.43996521164591	0.5138199857	1.206651523	1.300968390
10	25	1.41851161465261	0.6238471009	1.191977569	1.269499994
15	25	1.39935740022011	0.7302282953	1.174690976	1.232428776
20	25	1.38247397536101	0.8330811419	1.154850463	1.189880658
25	25	1.36784899806158	0.9324784747	1.132478475	1.141903774
30	25	1.35549026623094	1.028436234	1.107568185	1.088483486
35	25	1.34542088223903	1.120899802	1.080087803	1.029551615
40	25	1.33768043575257	1.209733683	1.049988301	0.9650030258
45	25	1.33232098570563	1.294710744	1.017210472	0.8947107441

-45	30	1.74853260867467	-0.7446832906	1.260883206	1.144683291
-40	30	1.70191816873627	-0.6004877139	1.288394834	1.192334827
-35	30	1.65822112935718	-0.4598082054	1.308947664	1.227933375
-30	30	1.61751465296166	-0.3233745437	1.323374544	1.252921463
-25	30	1.57977794635249	-0.1915535105	1.332421123	1.268590597
-20	30	1.54493013140151	-0.06444705940	1.336732319	1.276057808
-15	30	1.51285412570878	0.05802745741	1.336848422	1.276258904
-10	30	1.48342262796865	0.1760717377	1.333211911	1.269960283
-5	30	1.45650842669213	0.2899595385	1.326172826	1.257768230
0	30	1.43199260398656	0.4000000000	1.315996302	1.240141973
5	30	1.40977209923780	0.5065094918	1.302871450	1.217409062
10	30	1.38976750285243	0.6097906665	1.286920954	1.189781993
15	30	1.37192249330520	0.7101157047	1.268206476	1.157367566
20	30	1.35621029974572	0.8077128621	1.246737311	1.120181882
25	30	1.34263095417713	0.9027529698	1.222474363	1.078157223
30	30	1.33121574412859	0.9953377793	1.195337779	1.031155281
35	30	1.32202184368689	1.085484709	1.165210684	0.9789736213
40	30	1.31513563633790	1.173114166	1.131948359	0.9213615853
45	30	1.31066846802655	1.258033924	1.095386117	0.8580339237

-45	35	1.70498456367211	-0.6804270207	1.356523144	1.080427021
-40	35	1.65878903010227	-0.5396127183	1.384083181	1.119786833
-35	35	1.61615173652020	-0.4041046799	1.404104680	1.148380496
-30	35	1.57696177529304	-0.2742064419	1.417674223	1.167759812
-25	35	1.54103733992802	-0.1498898077	1.425714487	1.179242498
-20	35	1.50816509253990	-0.03091037061	1.428987267	1.183916513
-15	35	1.47812461815553	0.08310831578	1.428104552	1.182655866
-10	35	1.45070540195257	0.1926142599	1.423544179	1.176142978
-5	35	1.42571716982536	0.2980852020	1.415665790	1.164891472
0	35	1.40299568741791	0.4000000000	1.404725267	1.149266785
5	35	1.38240718017795	0.4988188622	1.390887750	1.129504764
10	35	1.36385266964885	0.5949696988	1.374239157	1.105728108
15	35	1.34726793154503	0.6888376248	1.354793401	1.077956691
20	35	1.33262672177222	0.7807558452	1.332499770	1.046118087
25	35	1.31994008743023	0.8709954665	1.307246751	1.010053037
30	35	1.30926037652312	0.9597547092	1.278867731	0.9695235962
35	35	1.30067980702683	1.047143889	1.247143889	0.9242172550
40	35	1.29433193812231	1.133167828	1.211810113	0.8737553933
45	35	1.29039105901079	1.217704393	1.172562780	0.8177043929

-45	40	1.66064353413996	-0.6098712142	1.447382563	1.009871214
-40	40	1.61559728508844	-0.4735796297	1.473579630	1.041091662
-35	40	1.57467783811372	-0.3443251593	1.491968356	1.063006493
-30	40	1.53756833357436	-0.2219183252	1.503873203	1.077194137
-25	40	1.50392112798315	-0.1059107506	1.510363613	1.084929106
-20	40	1.47339414866940	0.004285512832	1.512283063	1.087216618
-15	40	1.44567192514876	0.1093202454	1.510281806	1.084831613
-10	40	1.42047360328162	0.2098572601	1.504845658	1.078353064
-5	40	1.39755854703695	0.3065449915	1.496322564	1.068195635
0	40	1.37672644252438	0.4000000000	1.484942699	1.054633641
5	40	1.35781914652983	0.4907976272	1.470835745	1.037821628
10	40	1.34072250381076	0.5794673620	1.454043985	1.017809987
15	40	1.32536495336116	0.6664897566	1.434529317	0.9945533112
20	40	1.31171937295117	0.7522929417	1.412178716	0.9679169025
25	40	1.29980427233235	0.8372469691	1.386806230	0.9376791513
30	40	1.28968719264110	0.9216549283	1.358154073	0.9035328399
35	40	1.28148964737560	1.005739766	1.325893377	0.8650860401
40	40	1.27538701683789	1.089622425	1.289622425	0.8218600027
45	40	1.27161513379445	1.173295107	1.248871639	0.7732951069

-45	45	1.61556904344246	-0.5327492221	1.532749222	0.9327492221
-40	45	1.57247830038351	-0.4023941717	1.556256137	0.9562561368
-35	45	1.53396129597612	-0.2806379646	1.572051752	0.9720517524
-30	45	1.49948557092222	-0.1667522736	1.581643733	0.9816437332
-25	45	1.46854769125981	-0.05986926702	1.586192826	0.9861928257
-20	45	1.44069426840242	0.04091621818	1.586574582	0.9865745822
-15	45	1.41553228067790	0.1364890575	1.583436226	0.9834362259
-10	45	1.39272762012977	0.2276861259	1.577240542	0.9772405417
-5	45	1.37200367969704	0.3152845552	1.568301965	0.9683019649
0	45	1.35313688115350	0.4000000000	1.556812265	0.9568122645
5	45	1.33595380549087	0.4824895170	1.542859494	0.9428594938
10	45	1.32032968377396	0.5633565097	1.526440803	0.9264408035
15	45	1.30618629956350	0.6431554459	1.507468478	0.9074684783
20	45	1.29349354993120	0.7223949493	1.485772843	0.8857728434
25	45	1.28227046648777	0.8015373713	1.461099672	0.8610996716
30	45	1.27259111488062	0.8809942301	1.433106445	0.8331064447
35	45	1.26459257538052	0.9611156675	1.401356222	0.8013562221
40	45	1.25848186214322	1.042170077	1.365308496	0.7653084964
45	45	1.25454604135564	1.124312495	1.324312495	0.7243124947


### +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	1.83856679508640	1.461497034	-0.4614970341	1.061497034
45	-40	1.78171566785570	1.483497649	-0.3091624776	1.083497649
45	-35	1.72951710055738	1.495972977	-0.1674085403	1.095972977
45	-30	1.68160422886388	1.500868381	-0.03558665617	1.100868381
45	-25	1.63754675568733	1.499682953	0.08720941735	1.099682953
45	-20	1.59691242641016	1.493551383	0.2019798469	1.093551383
45	-15	1.55930013792395	1.483318455	0.3097256950	1.083318455
45	-10	1.52434453973357	1.469592691	0.4114019501	1.069592691
45	-5	1.49172102792891	1.452793388	0.5078925135	1.052793388
45	0	1.46114599092947	1.433186238	0.6000000000	1.033186238
45	5	1.43238463423080	1.410916280	0.6884437143	1.010916280
45	10	1.40524541241778	1.386023949	0.7738626259	0.9860239491
45	15	1.37958183286549	1.358459775	0.8568185226	0.9584597748
45	20	1.35529165976321	1.328091638	0.9377977308	0.9280916377
45	25	1.33232100113161	1.294710754	1.017210477	0.8947107544
45	30	1.31066850011333	1.258033945	1.095386129	0.8580339447
45	35	1.29039107097355	1.217704400	1.172562785	0.8177044004
45	40	1.27161516943999	1.173295129	1.248871657	0.7732951286
45	45	1.25454604202647	1.124312495	1.324312495	0.7243124951

50	-45	1.85265984912105	1.526640253	-0.5266402530	0.9453634207
50	-40	1.79317175576913	1.555520736	-0.3695970232	0.9695970232
50	-35	1.73786395052116	1.573167373	-0.2214606381	0.9844043100
50	-30	1.68658562896085	1.581593112	-0.08219310108	0.9914743442
50	-25	1.63908486229592	1.582436260	0.04862091666	0.9921818297
50	-20	1.59506380125888	1.576996578	0.1716082796	0.9876173948
50	-15	1.55421681338163	1.566283652	0.2874952373	0.9786281823
50	-10	1.51624750105505	1.551059854	0.3970370913	0.9658538991
50	-5	1.48088409353637	1.531883833	0.5009729962	0.9497633069
50	0	1.44788230464670	1.509142194	0.6000000000	0.9306808057
50	5	1.41703814368818	1.483084472	0.6947576129	0.9088157806
50	10	1.38818579256105	1.453841761	0.7858207358	0.8842782326
50	15	1.36120052788589	1.421444311	0.8736951784	0.8570935450
50	20	1.33600043207242	1.385833881	0.9588141885	0.8272128457
50	25	1.31255208722439	1.346875428	1.041535264	0.7945228227
50	30	1.29087190042946	1.304362826	1.122134121	0.7588505137
50	35	1.27103158572360	1.258026191	1.200796407	0.7199694606
50	40	1.25316318840150	1.207538957	1.277605641	0.6776056410
50	45	1.23746450381271	1.152527412	1.352527412	0.6314454739

55	-45	1.86482882285505	1.581718294	-0.5817182937	0.8274480573
55	-40	1.80331842829178	1.617353259	-0.4214806703	0.8523999283
55	-35	1.74547696306562	1.640274446	-0.2684495168	0.8684495168
55	-30	1.69134560563765	1.652462462	-0.1231095393	0.8769836569
55	-25	1.64084148883461	1.655615270	0.01449698373	0.8791912774
55	-20	1.59380614794659	1.651145134	0.1446204124	0.8760612544
55	-15	1.55004316882177	1.640198305	0.2676898657	0.8683962021
55	-10	1.50934249571333	1.623682337	0.3842317881	0.8568315969
55	-5	1.47149741345499	1.602296517	0.4948126845	0.8418570846
55	0	1.43631301859305	1.576558745	0.6000000000	0.8238353027
55	5	1.40362358692781	1.546839767	0.7003354785	0.8030258497
55	10	1.37329069311625	1.513379879	0.7963189124	0.7795969841
55	15	1.34521257207875	1.476312186	0.8883969811	0.7536419063
55	20	1.31932517418638	1.435676311	0.9769553496	0.7251883603
55	25	1.29560612670096	1.391432048	1.062312356	0.6942081934
55	30	1.27407642829102	1.343469445	1.144712338	0.6606244173
55	35	1.25480437835659	1.291619791	1.224318899	0.6243188991
55	40	1.23790736570360	1.235665261	1.301206412	0.5851391153
55	45	1.22355505112660	1.175351265	1.375351265	0.5429068007

60	-45	1.87512297786341	1.627556140	-0.6275561405	0.7087298682
60	-40	1.81209279168245	1.669521288	-0.4652548447	0.7329584575
60	-35	1.75222765502171	1.697546376	-0.3085517540	0.7491387497
60	-30	1.69572778173124	1.713505092	-0.1583525183	0.7583525183
60	-25	1.64265960936814	1.719085723	-0.01509977443	0.7615744973
60	-20	1.59300112461134	1.715762753	0.1211015224	0.7596559799
60	-15	1.54666892486406	1.704785407	0.2503838038	0.7533182061
60	-10	1.50354514154935	1.687187196	0.3730341681	0.7431578742
60	-5	1.46349714579445	1.663803340	0.4894315348	0.7296571987
60	0	1.42638640947849	1.635286866	0.6000000000	0.7131932047
60	5	1.39209069253029	1.602140279	0.7051736464	0.6940560137
60	10	1.36050127803540	1.564727135	0.8053728191	0.6724555251
60	15	1.33153695504557	1.523297921	0.9009867709	0.6485363572
60	20	1.30514449969583	1.478003332	0.9923611254	0.6223855140
60	25	1.28130499833631	1.428911358	1.079789246	0.5940422498
60	30	1.26003349775153	1.376017750	1.163504111	0.5635041110
60	35	1.24138192703751	1.319258760	1.243671913	0.5307342925
60	40	1.22543971587768	1.258522154	1.320385623	0.4956679967
60	45	1.21233515608051	1.193659660	1.393659660	0.4582196184

65	-45	1.88362461918505	1.664934804	-0.6649348038	0.5898487861
65	-40	1.81947627835714	1.712570676	-0.5013775702	0.6120617581
65	-35	1.75802886541306	1.745290148	-0.3419823026	0.6273190984
65	-30	1.69960506335600	1.764813965	-0.1879757098	0.6364232036
65	-25	1.64440304220193	1.772775827	-0.04013588125	0.6401358812
65	-20	1.59252267852540	1.770667345	0.1011178855	0.6391526796
65	-15	1.54398871503791	1.759807096	0.2356407868	0.6340884624
65	-10	1.49877667900940	1.741333384	0.3634867342	0.6254740292
65	-5	1.45682724825591	1.716202769	0.4848471788	0.6137554310
65	0	1.41806120073738	1.685199909	0.6000000000	0.5992985597
65	5	1.38240093977273	1.648960676	0.7092699004	0.5823999281
65	10	1.34976770776331	1.607977488	0.8129990232	0.5632891534
65	15	1.32009831234762	1.562624464	0.9115242862	0.5421406911
65	20	1.29334600503147	1.513169161	1.005160440	0.5190793047
65	25	1.26948718787255	1.459789650	1.094188030	0.4941880299
65	30	1.24852374422537	1.402587412	1.178844112	0.4675141880
65	35	1.23048308467247	1.341598175	1.259314140	0.4390744398
65	40	1.21541983286742	1.276804194	1.335726076	0.4088605104
65	45	1.20341665511479	1.208145952	1.408145952	0.3768446462

70	-45	1.89042377686486	1.694545337	-0.6945453375	0.4711759698
70	-40	1.82547220435940	1.747014794	-0.5302796172	0.4902732903
70	-35	1.76281953807951	1.783821420	-0.3689621902	0.5036698066
70	-30	1.70288241854599	1.806520827	-0.2120551783	0.5119317150
70	-25	1.64596370806727	1.816663471	-0.06060102546	0.5156233353
70	-20	1.59226745521853	1.815727175	0.08471744855	0.5152825514
70	-15	1.54191478970049	1.805070908	0.2235123849	0.5114039875
70	-10	1.49496714891980	1.785913818	0.3556260010	0.5044313770
70	-5	1.45143615398792	1.759317841	0.4810750987	0.4947512332
70	0	1.41129925375255	1.726187494	0.6000000000	0.4826927730
70	5	1.37451967723436	1.687283024	0.7126226713	0.4685327036
70	10	1.34104661216873	1.643221319	0.8192134615	0.4524955546
70	15	1.31083179654881	1.594496372	0.9200643383	0.4347611244
70	20	1.28383129058366	1.541488410	1.015467804	0.4154678040
70	25	1.26001279074815	1.484479618	1.105701151	0.3947183006
70	30	1.23936057902783	1.423668134	1.191015072	0.3725847304
70	35	1.22187421475906	1.359176861	1.271622869	0.3491118269
70	40	1.20757262801513	1.291067085	1.347694062	0.3243218956
70	45	1.19649427339575	1.219348604	1.419348604	0.2982185034

75	-45	1.89561166813681	1.716969744	-0.7169697436	0.3528809792
75	-40	1.83009968021790	1.773306041	-0.5523405924	0.3679762446
75	-35	1.76656609635389	1.813439524	-0.3897010094	0.3787299790
75	-30	1.70549250922263	1.838770575	-0.2306745787	0.3855174136
75	-25	1.64725990921373	1.850759122	-0.07650008890	0.3887297353
75	-20	1.59215425341072	1.850851654	0.07193318378	0.3887545289
75	-15	1.54037688630345	1.840426646	0.2140388434	0.3859611566
75	-10	1.49206237097643	1.820761818	0.3494813583	0.3806919818
75	-5	1.44728411246923	1.793003863	0.4781279537	0.3732542603
75	0	1.40606959236436	1.758158933	0.6000000000	0.3639175892
75	5	1.36841823387010	1.717095842	0.7152309549	0.3529147672
75	10	1.33430184124458	1.670540124	0.8240305040	0.3404402002
75	15	1.30368309901950	1.619091179	0.9266544968	0.3266544968
75	20	1.27651887629267	1.563228700	1.023380622	0.3116861908
75	25	1.25276684338751	1.503324931	1.114488865	0.2956350243
75	30	1.23239149812268	1.439657820	1.200246722	0.2785754733
75	35	1.21536753037676	1.372422434	1.280897519	0.2605598059
75	40	1.20168164711817	1.301741410	1.356650884	0.2416208825
75	45	1.19133359330320	1.227674952	1.427674952	0.2217748350

80	-45	1.89926003604939	1.732661089	-0.7326610887	0.2349841061
80	-40	1.83338290766713	1.791813316	-0.5678700401	0.2454142397
80	-35	1.76925084286507	1.834400087	-0.4043777535	0.2529234364
80	-30	1.70738901727333	1.861698236	-0.2439118703	0.2577368367
80	-25	1.64823098413382	1.875087833	-0.08784475306	0.2600977839
80	-20	1.59212072666043	1.875980336	0.06278709129	0.2602551563
80	-15	1.53931992033556	1.865761091	0.2072504994	0.2584532276
80	-10	1.49001967176131	1.845747500	0.3450757085	0.2549242915
80	-5	1.44434120461157	1.817148070	0.4760156093	0.2498814404
80	0	1.40235041254643	1.781045559	0.6000000000	0.2435155936
80	5	1.36407500805835	1.738393074	0.7170942213	0.2359948098
80	10	1.32950450138611	1.690001632	0.8274620930	0.2274620930
80	15	1.29860837260337	1.636552324	0.9313331966	0.2180375378
80	20	1.27134266026260	1.578602059	1.028976068	0.2078193426
80	25	1.24765620990407	1.516592585	1.120675673	0.1968853992
80	30	1.22749735254048	1.450862280	1.206715620	0.1852953730
80	35	1.21081958233281	1.381658266	1.287364518	0.1730928381
80	40	1.19758509678948	1.309147171	1.362865056	0.1603071758
80	45	1.18776372379436	1.233422737	1.433422737	0.1469549148

85	-45	1.90142587640457	1.741945681	-0.7419456810	0.1174050342
85	-40	1.83534333693668	1.802807593	-0.5770953343	0.1227297615
85	-35	1.77086432466787	1.846896196	-0.4131276236	0.1265870145
85	-30	1.70854068397672	1.875410751	-0.2518287944	0.1290817148
85	-25	1.64883777452436	1.889678922	-0.09464868960	0.1303300180
85	-20	1.59212063543040	1.891073500	0.05729362905	0.1304520277
85	-15	1.53870071712209	1.880991897	0.2031694171	0.1295700018
85	-10	1.48880710125542	1.860776791	0.3424256390	0.1278014092
85	-5	1.44258499332144	1.831668245	0.4747452587	0.1252547413
85	0	1.40012611138839	1.794798209	0.6000000000	0.1220290312
85	5	1.36147560283541	1.751172649	0.7182122892	0.1182122892
85	10	1.32663448973583	1.701657462	0.8295173302	0.1138802717
85	15	1.29557751401798	1.646987006	0.9341291613	0.1090972266
85	20	1.26825672437385	1.587764263	1.032310837	0.1039159079
85	25	1.24461691421760	1.524476654	1.124352075	0.09837895960
85	30	1.22459486344001	1.457499212	1.210547455	0.09251919276
85	35	1.20813034082056	1.387110740	1.291182381	0.08636099943
85	40	1.19517104382942	1.313504837	1.366521572	0.07992131731
85	45	1.18566716682823	1.236793563	1.436793563	0.07320995046

90	-45	1.90214304070827	1.745018243	-0.7450182429	0.000000000
90	-40	1.83599422556111	1.806453174	-0.5801543396	0.000000000
90	-35	1.77140150724474	1.851047166	-0.4160341639	0.000000000
90	-30	1.70892641767153	1.879973691	-0.2544632088	0.000000000
90	-25	1.64904794010455	1.894544989	-0.09691777397	0.000000000
90	-20	1.59212506121324	1.896108171	0.05546115837	0.000000000
90	-15	1.53849494995536	1.886072006	0.2018082062	0.000000000
90	-10	1.48840429560035	1.865792090	0.3415413064	0.000000000
90	-5	1.44200040883513	1.836513162	0.4743213833	0.000000000
90	0	1.39938518199753	1.799385182	0.6000000000	0.000000000
90	5	1.36060943456850	1.755431905	0.7185849259	0.000000000
90	10	1.32567856901681	1.705538533	0.8302016677	0.000000000
90	15	1.29456897712869	1.650457609	0.9350591065	0.000000000
90	20	1.26723048980940	1.590807140	1.033418354	0.000000000
90	25	1.24360749200229	1.527091154	1.125571237	0.000000000
90	30	1.22363234831307	1.459696699	1.211816174	0.000000000
90	35	1.20723998369574	1.388913101	1.292444408	0.000000000
90	40	1.19437323797865	1.314942982	1.367728319	0.000000000
90	45	1.18497552744154	1.237904231	1.437904231	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	1.25454608414182	1.124312519	1.324312519	0.7243125194
40	45	1.25848194222808	1.042170118	1.365308545	0.7653085451
35	45	1.26459262551878	0.9611156898	1.401356254	0.8013562539
30	45	1.27259117659454	0.8809942534	1.433106485	0.8331064851
25	45	1.28227049143023	0.8015373791	1.461099688	0.8610996883
20	45	1.29349355701422	0.7223949511	1.485772848	0.8857728483
15	45	1.30618630740894	0.6431554474	1.507468484	0.9074684838
10	45	1.32032968959495	0.5633565104	1.526440808	0.9264408075
5	45	1.33595380935693	0.4824895172	1.542859497	0.9428594965
0	45	1.35313688560206	0.4000000000	1.556812268	0.9568122677
-5	45	1.37200368892715	0.3152845546	1.568301971	0.9683019714
-10	45	1.39272763885291	0.2276861235	1.577240555	0.9772405548
-15	45	1.41553230663243	0.1364890526	1.583436244	0.9834362439
-20	45	1.44069431091441	0.04091620759	1.586574611	0.9865746114
-25	45	1.46854776504065	-0.05986929013	1.586192875	0.9861928752
-30	45	1.49948563456788	-0.1667522977	1.581643775	0.9816437748
-35	45	1.53396153916743	-0.2806380725	1.572051907	0.9720519065
-40	45	1.57247843600787	-0.4023942409	1.556256219	0.9562562193
-45	45	1.61556920355050	-0.5327493146	1.532749315	0.9327493146

45	50	1.23746451983151	1.152527422	1.352527422	0.6314454821
40	50	1.23948122193709	1.070207580	1.398722291	0.6702075801
35	50	1.24403313278270	0.9880346680	1.439800539	0.7046763225
30	50	1.25085260442011	0.9059470462	1.476325990	0.7353248150
25	50	1.25973830857719	0.8237690005	1.508775554	0.7625532324
20	50	1.27054956151006	0.7412358252	1.537537724	0.7866875588
15	50	1.28320399570102	0.6580124965	1.562915746	0.8079822474
10	50	1.29767203753228	0.5737046828	1.585128210	0.8266207175
5	50	1.31397410328464	0.4878657007	1.604309555	0.8427157770
0	50	1.33217895795659	0.4000000000	1.620508288	0.8563081281
-5	50	1.35240150641920	0.3095646515	1.633680764	0.8673611477
-10	50	1.37480435434915	0.2159704861	1.643683237	0.8757542190
-15	50	1.39959695200539	0.1185844924	1.650256972	0.8812702380
-20	50	1.42703592729273	0.01673609831	1.653008916	0.8835793927
-25	50	1.45742474957565	-0.09026962602	1.651386606	0.8822181133
-30	50	1.49110939841635	-0.2031265339	1.644645800	0.8765619056
-35	50	1.52847616503810	-0.3224863635	1.631817460	0.8657976501
-40	50	1.56992745423457	-0.4488852121	1.611662001	0.8488852121
-45	50	1.61585544300554	-0.5826346622	1.582634662	0.8245283827

45	55	1.22355509158214	1.175351291	1.375351291	0.5429068186
40	55	1.22377903176570	1.093203489	1.426127748	0.5784608767
35	55	1.22681599536646	1.010393480	1.471732232	0.6103934803
30	55	1.23243441356875	0.9269089168	1.512633015	0.6390325166
25	55	1.24045563676060	0.8426329550	1.549229435	0.6646576060
20	55	1.25074991618392	0.7573621433	1.581844419	0.6874948637
15	55	1.26323901857003	0.6708228625	1.610724683	0.7077170418
10	55	1.27789298316086	0.5826813230	1.636037266	0.7254411034
5	55	1.29472759508142	0.4925512466	1.657865589	0.7407254600
0	55	1.31380465864883	0.4000000000	1.676205772	0.7535673942
-5	55	1.33522880812064	0.3045535979	1.690957368	0.7638965732
-10	55	1.35914878010217	0.2057027462	1.701914483	0.7715688275
-15	55	1.38575211033146	0.1029118420	1.708748100	0.7763537777
-20	55	1.41526618203123	-0.004367451568	1.710990442	0.7779238826
-25	55	1.44795343785751	-0.1166745911	1.708012236	0.7758385202
-30	55	1.48410249884448	-0.2345058459	1.698996363	0.7695255377
-35	55	1.52402002764904	-0.3582652104	1.682914949	0.7582652104
-40	55	1.56800205406643	-0.4881868915	1.658499919	0.7411696224
-45	55	1.61630548989874	-0.6242322202	1.624232220	0.7171751215

45	60	1.21233517875721	1.193659675	1.393659675	0.4582196269
40	60	1.21095123496661	1.111868441	1.448371771	0.4898076706
35	60	1.21258600496224	1.028740871	1.497935021	0.5184230263
30	60	1.21705346302383	0.9442828551	1.542725559	0.5442828551
25	60	1.22420641712047	0.8584084778	1.583060153	0.5675700440
20	60	1.23393766095202	0.7709544571	1.619188994	0.5884290403
15	60	1.24618266420367	0.6816928922	1.651292186	0.6069638266
10	60	1.26091869049069	0.5903404505	1.679474336	0.6232347986
5	60	1.27816284004087	0.4965662994	1.703757852	0.6372548932
0	60	1.29797222348642	0.4000000000	1.724076919	0.6489861117
-5	60	1.32044130784120	0.3002395261	1.740267434	0.6583337101
-10	60	1.34570201943946	0.1968611850	1.752057468	0.6651406894
-15	60	1.37391774292660	0.08943327987	1.759050779	0.6691782791
-20	60	1.40528057665668	-0.02246469157	1.760712201	0.6701375015
-25	60	1.44000487469450	-0.1392149832	1.756350263	0.6676191356
-30	60	1.47831632328836	-0.2611231582	1.745098900	0.6611231582
-35	60	1.52043553919100	-0.3883646694	1.725901431	0.6500394944
-40	60	1.56655698146222	-0.5209144375	1.697503089	0.6336437041
-45	60	1.61681784648841	-0.6584557381	1.658455738	0.6110997053

45	65	1.20341666557586	1.208145959	1.408145959	0.3768446495
40	65	1.20064532167960	1.126782670	1.466145858	0.4038904465
35	65	1.20103978989300	1.043537913	1.519067388	0.4285681612
30	65	1.20446054242964	0.9584154057	1.567203854	0.4510145643
25	65	1.21079649502792	0.8713408218	1.610793654	0.4713408218
20	65	1.21996885987372	0.7821739261	1.650014232	0.4896296777
15	65	1.23193304501722	0.6907185465	1.684976386	0.5059327977
10	65	1.24668015770486	0.5967313740	1.715719065	0.5202683443
5	65	1.26423074095552	0.4999293064	1.742197199	0.5326153010
0	65	1.28464117640464	0.4000000000	1.764280302	0.5429128209
-5	65	1.30799684599597	0.2966112646	1.781738654	0.5510537841
-10	65	1.33441241474194	0.1894241067	1.794235235	0.5568810359
-15	65	1.36402476067409	0.07810970137	1.801310949	0.5601804953
-20	65	1.39698859623438	-0.03762806913	1.802373238	0.5606758489
-25	65	1.43346744595473	-0.1580225305	1.796683178	0.5580225305
-30	65	1.47362244630552	-0.2832050093	1.783345788	0.5518032033
-35	65	1.51759288763304	-0.4131525431	1.761302184	0.5415241016
-40	65	1.56548140800440	-0.5476276936	1.729338708	0.5266192884
-45	65	1.61732339601689	-0.6861020990	1.686102099	0.5064577263

45	70	1.19649428489349	1.219348612	1.419348612	0.2982185063
40	70	1.19257617648554	1.138408693	1.480001213	0.3202942475
35	70	1.19192508681189	1.055160848	1.535666659	0.3405548129
30	70	1.19444408638305	0.9695957014	1.586568695	0.3590816389
25	70	1.20005813876547	0.8816385885	1.632877286	0.3759365878
20	70	1.20871816148487	0.7911600254	1.674703337	0.3911600254
15	70	1.22040278855664	0.6979843882	1.712092877	0.4047687048
10	70	1.23511676904143	0.6018976968	1.745018737	0.4167527380
5	70	1.25288948938256	0.5026567778	1.773372340	0.4270726055
0	70	1.27377851695979	0.4000000000	1.796960273	0.4356579109
-5	70	1.29786143471616	0.2936584000	1.815490050	0.4424021984
-10	70	1.32523652985488	0.1833709251	1.828564534	0.4471609213
-15	70	1.35601439249957	0.06890347766	1.835669044	0.4497467513
-20	70	1.39031298264527	-0.04992693825	1.836164103	0.4499269383
-25	70	1.42824695762503	-0.1732212686	1.829276978	0.4474202295
-30	70	1.46991739368640	-0.3009609226	1.814099932	0.4418962367
-35	70	1.51539181488340	-0.4329595515	1.789589523	0.4329751775
-40	70	1.56469396995603	-0.5688132732	1.754586699	0.4202351913
-45	70	1.61777759908220	-0.7078396673	1.707839667	0.4032206632

45	75	1.19133359745636	1.227674955	1.427674955	0.2217748358
40	75	1.18651955487428	1.147103921	1.490363782	0.2385722563
35	75	1.18503922448200	1.063906388	1.548156585	0.2540577913
30	75	1.18683119799415	0.9780561920	1.601222694	0.2682768124
25	75	1.19185231499241	0.8894723611	1.649676866	0.2812600685
20	75	1.20008038935281	0.7980284128	1.693574076	0.2930222907
15	75	1.21151548142913	0.7035607199	1.732904030	0.3035607199
10	75	1.22617761503053	0.6058763471	1.767582784	0.3128528642
5	75	1.24410508453758	0.5047628666	1.797445045	0.3208544328
0	75	1.26535796546353	0.4000000000	1.822241938	0.3274987403
-5	75	1.29000807978916	0.2913717610	1.841626453	0.3326928054
-10	75	1.31813922353143	0.1786832144	1.855149863	0.3363163921
-15	75	1.34983834222423	0.06178071586	1.862251553	0.3382192841
-20	75	1.38519040214435	-0.05942350369	1.862255702	0.3382203961
-25	75	1.42426711065833	-0.1849209476	1.854367020	0.3361066300
-30	75	1.46711893882582	-0.3145727113	1.837676242	0.3316343494
-35	75	1.51375523351635	-0.4480662488	1.811164123	0.3245304486
-40	75	1.56413567786082	-0.5848736947	1.773726764	0.3144991385
-45	75	1.61815160199026	-0.7242053086	1.724205309	0.3012299046

45	80	1.18776372496694	1.233422738	1.433422738	0.1469549150
40	80	1.18230846626844	1.153133800	1.497549912	0.1582622660
35	80	1.18022830608752	1.069998299	1.556856735	0.1687196590
30	80	1.18148784304841	0.9839744811	1.611473472	0.1783500633
25	80	1.18606869942802	0.8949737868	1.661474711	0.1871666309
20	80	1.19397130836211	0.8028694487	1.706874713	0.1951718762
15	80	1.20521080173304	0.7075032904	1.747617903	0.2023559999
10	80	1.21982154022685	0.6086966688	1.783577624	0.2086966688
5	80	1.23784980379365	0.5062588626	1.814544357	0.2141569395
0	80	1.25935833468374	0.4000000000	1.840225852	0.2186852798
-5	80	1.28441505603925	0.2897439071	1.860232909	0.2222130638
-10	80	1.31309236368238	0.1753458247	1.874077140	0.2246541753
-15	80	1.34545751509508	0.05671348743	1.881162706	0.2259035518
-20	80	1.38156912041147	-0.06616864747	1.880787833	0.2258374514
-25	80	1.42146714671234	-0.1932109807	1.872145053	0.2243134963
-30	80	1.46516402664725	-0.3241872248	1.854329067	0.2211720573
-35	80	1.51262524645016	-0.4586951664	1.826343790	0.2162374978
-40	80	1.56376394588907	-0.5961220073	1.787131981	0.2093233979
-45	80	1.61842803598664	-0.7356086199	1.735608620	0.2002384392

45	85	1.18566716692310	1.236793563	1.436793563	0.07320995047
40	85	1.17982725138688	1.156680848	1.501777119	0.07889527496
35	85	1.17738458116013	1.073592452	1.561989718	0.08416319473
30	85	1.17831971944335	0.9874760112	1.617538300	0.08902306592
25	85	1.18262954991479	0.8982370490	1.668472800	0.09347925726
20	85	1.19033057124743	0.8057481388	1.714783849	0.09753094910
15	85	1.20144636868163	0.7098527592	1.756386240	0.1011706867
10	85	1.21602048925234	0.6103803107	1.793126031	0.1043850019
5	85	1.23410517667477	0.5071531490	1.824766097	0.1071531490
0	85	1.25576524068264	0.4000000000	1.850986675	0.1094471523
-5	85	1.28106693092612	0.2887693219	1.871372469	0.1112306781
-10	85	1.31007703875275	0.1733472282	1.885411744	0.1124589556
-15	85	1.34284674719004	0.05368011369	1.892483411	0.1130776463
-20	85	1.37941300886328	-0.07020069423	1.891865790	0.1130236114
-25	85	1.41980359234344	-0.1981575144	1.882752929	0.1122263394
-30	85	1.46400933512419	-0.3299125614	1.864245641	0.1106071615
-35	85	1.51196351889463	-0.4650081124	1.835359612	0.1080799614
-40	85	1.56355250414386	-0.6027825968	1.795069762	0.1045550563
-45	85	1.61859839496786	-0.7423380487	1.742338049	0.09994162917

45	90	1.18497552745743	1.237904231	1.437904231	0.000000000
40	90	1.17900735366192	1.157851319	1.503172032	0.000000000
35	90	1.17644331622318	1.074780165	1.563685947	0.000000000
30	90	1.17726939013079	0.9886346951	1.619545199	0.000000000
25	90	1.18148759506899	0.8993182337	1.670791408	0.000000000
20	90	1.18912029667929	0.8067030943	1.717407568	0.000000000
15	90	1.20019379723084	0.7106330125	1.759298185	0.000000000
10	90	1.21475469834722	0.6109399397	1.796299845	0.000000000
5	90	1.23285746287338	0.5074506079	1.828166068	0.000000000
0	90	1.25456762207234	0.4000000000	1.854567622	0.000000000
-5	90	1.27995122511708	0.2884449003	1.875080624	0.000000000
-10	90	1.30907457136249	0.1726815863	1.889186787	0.000000000
-15	90	1.34198114410656	0.05266972174	1.896254245	0.000000000
-20	90	1.37869671800001	-0.07154204909	1.895551132	0.000000000
-25	90	1.41925015901376	-0.1998010352	1.886277471	0.000000000
-30	90	1.46362657795095	-0.3318132890	1.867537798	0.000000000
-35	90	1.51174473847471	-0.4671011598	1.838348793	0.000000000
-40	90	1.56348309686528	-0.6049875626	1.797697538	0.000000000
-45	90	1.61865503855036	-0.7445619542	1.744561954	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	1.61865502455858	-0.7445619443	1.744561944	1.401684121e-16
-90	40	1.67699590914022	-0.8846533973	1.677952192	1.573246671e-16
-90	35	1.73815414463081	-1.023812521	1.596964260	1.743667446e-16
-90	30	1.80170850781428	-1.160325338	1.500854254	1.910847431e-16
-90	25	1.86714168573371	-1.292205049	1.389088174	2.072353497e-16
-90	20	1.93387305520471	-1.417246240	1.261423540	2.225484790e-16
-90	15	2.00123747284198	-1.533046960	1.117958372	2.367299772e-16
-90	10	2.06853235547636	-1.637106701	0.9591968740	2.494736201e-16
-90	5	2.13501687508822	-1.726892491	0.7860789815	2.604692082e-16
-90	-2.84217e-14	2.19992976698590	-1.799929767	0.6000000000	2.694136947e-16
-90	-5	2.26252187175507	-1.853912293	0.4028082258	2.760246475e-16
-90	-10	2.32206881194722	-1.886791369	0.1967769824	2.800511730e-16
-90	-15	2.37784498822405	-1.896821885	-0.01543156925	2.812795570e-16
-90	-20	2.42915687138081	-1.882660787	-0.2308205813	2.795453226e-16
-90	-25	2.47541222285037	-1.843485374	-0.4461544107	2.747477182e-16
-90	-30	2.51601006730325	-1.778928634	-0.6580050337	2.668417978e-16
-90	-35	2.55042910095776	-1.689189212	-0.8628660349	2.558518881e-16
-90	-40	2.57820144287956	-1.575016889	-1.057235943	2.418698111e-16
-90	-45	2.59894412037031	-1.437731011	-1.237731011	2.250571401e-16

-85	45	1.61859837491569	-0.7423380345	1.742338035	0.09994162794
-85	40	1.67677853480685	-0.8816117910	1.675399981	0.1121265028
-85	35	1.73772087651252	-1.019816127	1.594165955	0.1242178154
-85	30	1.80100060409314	-1.155254539	1.497926627	0.1360671411
-85	25	1.86610936535320	-1.285977742	1.386184333	0.1475039394
-85	20	1.93247025119043	-1.409822143	1.258721389	0.1583389205
-85	15	1.99943754571214	-1.524448836	1.115654512	0.1683674567
-85	10	2.06632662936228	-1.627423150	0.9574894026	0.1773765418
-85	5	2.13241513505200	-1.716278103	0.7851503429	0.1851503429
-85	-2.84217e-14	2.19696710292216	-1.788606980	0.6000000000	0.1914782996
-85	-5	2.25925067234804	-1.842153814	0.4038369594	0.1961630406
-85	-10	2.31855355695656	-1.874901310	0.1988735206	0.1990280752
-85	-15	2.37417518575216	-1.885131978	-0.01229926805	0.1999231427
-85	-20	2.42544611815507	-1.871510306	-0.2267621381	0.1987314008
-85	-25	2.47174604351145	-1.833153582	-0.4413366170	0.1953756223
-85	-30	2.51248939037678	-1.769660865	-0.6526542847	0.1898207294
-85	-35	2.54714603757125	-1.681162211	-0.8572454682	0.1820781004
-85	-40	2.57523696969502	-1.568330341	-1.051625263	0.1722065909
-85	-45	2.59635651432183	-1.432398230	-1.232398230	0.1603140722

-80	45	1.61842800651293	-0.7356085992	1.735608599	0.2002384356
-80	40	1.67612701152274	-0.8724324439	1.667697594	0.2243641710
-80	35	1.73642057017522	-1.007783315	1.585740489	0.2482301814
-80	30	1.79888123854717	-1.140024861	1.489133768	0.2715479340
-80	25	1.86302033742265	-1.267314023	1.377481297	0.2939924475
-80	20	1.92828377420755	-1.387621306	1.250640946	0.3152058676
-80	15	1.99407400637066	-1.498784036	1.108777649	0.3348068561
-80	10	2.05975826339871	-1.598557748	0.9523996535	0.3523996535
-80	5	2.12467400121441	-1.684671995	0.7823851667	0.3675839186
-80	-2.84217e-14	2.18815287305543	-1.754909914	0.6000000000	0.3799687589
-80	-5	2.24951759023017	-1.807165108	0.4068980745	0.3891827595
-80	-10	2.30810606045812	-1.839526517	0.2051110510	0.3948889490
-80	-15	2.36326672422513	-1.850334298	-0.002975257815	0.3967946523
-80	-20	2.41436354246580	-1.838243026	-0.2146538385	0.3946626349
-80	-25	2.46078463327106	-1.802284454	-0.4269421062	0.3883221684
-80	-30	2.50194319589951	-1.741917232	-0.6366364903	0.3776777984
-80	-35	2.53728960489012	-1.657078816	-0.8403820937	0.3627184967
-80	-40	2.56631074044350	-1.548215753	-1.034747120	0.3435230014
-80	-45	2.58854517691410	-1.416314442	-1.216314442	0.3202652417

-75	45	1.61815156154398	-0.7242052805	1.724205280	0.3012298970
-75	40	1.67504747172555	-0.8569549280	1.654710416	0.3368000579
-75	35	1.73426083219026	-0.9875918994	1.571602308	0.3718041289
-75	30	1.79536904197491	-1.114591319	1.474449706	0.4058335207
-75	25	1.85791181968188	-1.236282475	1.363011049	0.4384405677
-75	20	1.92138417239792	-1.350862643	1.237261886	0.4691422311
-75	15	1.98525858207280	-1.456441360	1.097431963	0.4974319631
-75	10	2.04898177486430	-1.551067950	0.9440259208	0.5227870817
-75	5	2.11199095445025	-1.632780940	0.7778452877	0.5446820114
-75	-2.84217e-14	2.17370977490539	-1.699642410	0.6000000000	0.5625974883
-75	-5	2.23356146915098	-1.749791965	0.4119175741	0.5760350209
-75	-10	2.29096245365413	-1.781485201	0.2153453011	0.5845271979
-75	-15	2.34533211526144	-1.793150847	0.01234700165	0.5876529983
-75	-20	2.39608672797655	-1.783435671	-0.1947055928	0.5850498249
-75	-25	2.44264290835496	-1.751261293	-0.4031496156	0.5764287261
-75	-30	2.48441667047874	-1.695878804	-0.6100561919	0.5615890331
-75	-35	2.52083645585469	-1.616935504	-0.8122734440	0.5404362395
-75	-40	2.55133542388822	-1.514521044	-1.006473902	0.5129943676
-75	-45	2.57537376950807	-1.389232146	-1.189232146	0.4794233086

-70	45	1.61777752000887	-0.7078396131	1.707839613	0.4032206435
-70	40	1.67354447628536	-0.8349074192	1.636210360	0.4494695427
-70	35	1.73125407532597	-0.9590423875	1.551611724	0.4946509762
-70	30	1.79049773295083	-1.078887987	1.453836378	0.5382712072
-70	25	1.85085670879287	-1.193012699	1.342834021	0.5798092052
-70	20	1.91189557280872	-1.299917001	1.218719189	0.6187191892
-70	15	1.97317615717428	-1.398058124	1.081788222	0.6544396367
-70	10	2.03425291449734	-1.485860318	0.9325280560	0.6863970219
-70	5	2.09468117192540	-1.561738022	0.7716298377	0.7140142473
-70	-2.84217e-14	2.15400838182272	-1.624105782	0.6000000000	0.7367142555
-70	-5	2.21177382238994	-1.671399152	0.4187760566	0.7539276345
-70	-10	2.26750867159598	-1.702100774	0.2293429174	0.7651021110
-70	-15	2.32072316989058	-1.714760577	0.03335161108	0.7697099028
-70	-20	2.37090560896942	-1.708034984	-0.1672619869	0.7672619869
-70	-25	2.41751956582397	-1.680733398	-0.3702619179	0.7573250222
-70	-30	2.46000337568057	-1.631876039	-0.5731041780	0.7395423979
-70	-35	2.49776306119074	-1.560755456	-0.7729357509	0.7136566227
-70	-40	2.53018017637915	-1.467018365	-0.9666144214	0.6795391117
-70	-45	2.55662524433260	-1.350754159	-1.150754159	0.6372224014

-65	45	1.61732323033901	-0.6861019877	1.686101988	0.5064576744
-65	40	1.67163038326056	-0.8059146076	1.611882502	0.5623272166
-65	35	1.72742175741432	-0.9218687800	1.525582484	0.6163975352
-65	30	1.78431797487863	-1.032839983	1.427250550	0.6681442568
-65	25	1.84195711794499	-1.137697354	1.317040052	0.7170400520
-65	20	1.89999134130930	-1.235302355	1.195201381	0.7625540115
-65	15	1.95808596841680	-1.324506901	1.062080231	0.8041507744
-65	10	2.01592006388157	-1.404151959	0.9181206677	0.8412898749
-65	5	2.07317931655252	-1.473059665	0.7638714868	0.8734220660
-65	-2.84217e-14	2.12954508498223	-1.530023293	0.6000000000	0.8999846421
-65	-5	2.18469490376190	-1.573810887	0.4273139235	0.9204031321
-65	-10	2.23828284622685	-1.603156005	0.2467895497	0.9340869857
-65	-15	2.28993561070123	-1.616770370	0.05960800799	0.9404354684
-65	-20	2.33923549285675	-1.613355128	-0.1328013376	0.9388429148
-65	-25	2.38571639378664	-1.591636912	-0.3287155441	0.9287155441
-65	-30	2.42885633316163	-1.550416078	-0.5260732475	0.9094939537
-65	-35	2.46806538709044	-1.488628859	-0.7224321637	0.8806821002
-65	-40	2.50268946282041	-1.405440851	-0.9149447521	0.8418908951
-65	-45	2.53201004553589	-1.300353455	-1.100353455	0.7928878379

-60	45	1.61681758995042	-0.6584555701	1.658455570	0.6110996083
-60	40	1.66932870138949	-0.7695032027	1.581329706	0.6752129889
-60	35	1.72280150361740	-0.8757559453	1.493293930	0.7365580384
-60	30	1.77690651492929	-0.9763858680	1.394656751	0.7946567514
-60	25	1.83135471786778	-1.070611348	1.285757334	0.8490578576
-60	20	1.88589498070928	-1.157682750	1.166950155	0.8993285550
-60	15	1.94031192379724	-1.236866587	1.038597080	0.9450453644
-60	10	1.99440859430022	-1.307416116	0.9010635286	0.9857771544
-60	5	2.04800871688140	-1.368558459	0.7547288160	1.021077702
-60	-2.84217e-14	2.10092924977160	-1.419458102	0.6000000000	1.050464625
-60	-5	2.15298120271350	-1.459207477	0.4373404227	1.073413937
-60	-10	2.20395206988052	-1.486806593	0.2673050904	1.089348294
-60	-15	2.25360170892925	-1.501160989	0.09058544820	1.097635809
-60	-20	2.30162223369667	-1.501058801	-0.09192881708	1.097576810
-60	-25	2.34764101822658	-1.485198694	-0.2790825881	1.088419973
-60	-30	2.39121209645746	-1.452224925	-0.4693825593	1.069382559
-60	-35	2.43178620260593	-1.400767935	-0.6609112825	1.039673852
-60	-40	2.46869993224622	-1.329529046	-0.8512471850	0.9985440606
-60	-45	2.50118329618463	-1.237408826	-1.037408826	0.9453584264

-55	45	1.61630516592789	-0.6242320149	1.624232015	0.7171749777
-55	40	1.66668043191758	-0.7251140248	1.544082763	0.7878133215
-55	35	1.71745535558529	-0.8203632791	1.454507567	0.8545075674
-55	30	1.76836948106839	-0.9094995994	1.356039946	0.9169214908
-55	25	1.81922602470869	-0.9921198314	1.249156138	0.9747728001
-55	20	1.86988009956098	-1.067864452	1.134258969	1.027809754
-55	15	1.92023211925166	-1.136388578	1.011674079	1.075790864
-55	10	1.97021037481076	-1.197325752	0.8816516270	1.118459532
-55	5	2.01976154608534	-1.250259287	0.7443789795	1.155523993
-55	-2.84217e-14	2.06883405719674	-1.294689647	0.6000000000	1.186634466
-55	-5	2.11736777285570	-1.330009089	0.4486438169	1.211365405
-55	-10	2.16528225130438	-1.355478067	0.2904618528	1.229198975
-55	-15	2.21245978479023	-1.370201586	0.1256759147	1.239508494
-55	-20	2.25872366746186	-1.373108436	-0.04535869281	1.241543893
-55	-25	2.30382293445314	-1.362946193	-0.2220753109	1.234428214
-55	-30	2.34741514844142	-1.338290120	-0.4036022684	1.217163845
-55	-35	2.38903845020011	-1.297566570	-0.5886489089	1.188648909
-55	-40	2.42808173021787	-1.239107747	-0.7753747061	1.147715600
-55	-45	2.46377105378978	-1.161260363	-0.9612603634	1.093206276

-50	45	1.61585489004025	-0.5826343260	1.582634326	0.8245281005
-50	40	1.66375035577915	-0.6721215238	1.499616775	0.8996167752
-50	35	1.71147347323784	-0.7553521424	1.408986279	0.9694555566
-50	30	1.75885099608368	-0.8322209947	1.311423123	1.033956182
-50	25	1.80579032932801	-0.9026976288	1.207457881	1.093093100
-50	20	1.85225783968673	-0.9667798980	1.097467200	1.146864508
-50	15	1.89826432943126	-1.024456765	0.9816820399	1.195261146
-50	10	1.94384850335330	-1.075673314	0.8602010200	1.238236934
-50	5	1.98906498860049	-1.120301632	0.7330091579	1.275684538
-50	-2.84217e-14	2.03397725986540	-1.158116977	0.6000000000	1.307415381
-50	-5	2.07863674150019	-1.188763991	0.4610011618	1.333131279
-50	-10	2.12307963750339	-1.211736696	0.3158073347	1.352407667
-50	-15	2.16731069367930	-1.226349046	0.1642210866	1.364668884
-50	-20	2.21128650492436	-1.231706925	0.006107248309	1.369164679
-50	-25	2.25489173392200	-1.226679503	-0.1585331095	1.364946171
-50	-30	2.29792030567381	-1.209883754	-0.3294668189	1.350852864
-50	-35	2.34004624684521	-1.179678264	-0.5061026282	1.325507449
-50	-40	2.38077522952399	-1.134172695	-0.6873237424	1.287323742
-50	-45	2.41941348620408	-1.071294703	-0.8712947028	1.234562842

-45	45	1.61556888517595	-0.5327491308	1.532749131	0.9327491308
-45	40	1.66064320679577	-0.6098710152	1.447382396	1.009871015
-45	35	1.70498425406484	-0.6804268246	1.356523007	1.080426825
-45	30	1.74853234518870	-0.7446831181	1.260883106	1.144683118
-45	25	1.79130455937289	-0.8029379199	1.160939164	1.202937920
-45	20	1.83337378003900	-0.8554780086	1.056956625	1.255478009
-45	15	1.87484751935170	-0.9025439220	0.9490155920	1.302543922
-45	10	1.91585882540146	-0.9443080250	0.8370377752	1.344308025
-45	5	1.95655117805048	-0.9808507792	0.7208087892	1.380850779
-45	-2.84217e-14	1.99707341405276	-1.012144154	0.6000000000	1.412144154
-45	-5	2.03756885866643	-1.038029620	0.4741887105	1.438029620
-45	-10	2.07817060446881	-1.058197955	0.3428803574	1.458197955
-45	-15	2.11899240301722	-1.072162748	0.2055351807	1.472162748
-45	-20	2.16011990681310	-1.079230841	0.06160400417	1.479230841
-45	-25	2.20157497417845	-1.078452118	-0.08941354489	1.478452118
-45	-30	2.24330186760004	-1.068585802	-0.2478884082	1.468585802
-45	-35	2.28516009655304	-1.048076873	-0.4139543422	1.448076873
-45	-40	2.32683967546295	-1.014998680	-0.5873248703	1.414998680
-45	-45	2.36781104247974	-0.9670563428	-0.7670563428	1.367056343


### -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	2.59894412419962	-1.437731014	-1.237731014	2.250571404e-16
-40	-90	2.61235062696648	-1.279186615	-1.401176681	2.450734617e-16
-35	-90	2.61821077338803	-1.101744005	-1.544712707	2.626515552e-16
-30	-90	2.61642922171375	-0.9082146109	-1.665894173	2.774920046e-16
-25	-90	2.60703211514603	-0.7017793808	-1.762773507	2.893563012e-16
-20	-90	2.59014294533241	-0.4858810614	-1.833938213	2.980714641e-16
-15	-90	2.56601797727132	-0.2641343226	-1.878583035	3.035388780e-16
-10	-90	2.53501274745509	-0.04020034396	-1.896500208	3.057330988e-16
-5	-90	2.49749966730417	0.1823285615	-1.887995927	3.046916248e-16
-2.84217e-14	-90	2.45406034197894	0.4000000000	-1.854060342	3.005357143e-16
5	-90	2.40523387819267	0.6096299451	-1.796081237	2.934353218e-16
10	-90	2.35164873165866	0.8083595168	-1.715921903	2.836186346e-16
15	-90	2.29397043192326	0.9937232367	-1.615805285	2.713578850e-16
20	-90	2.23289331692346	1.163694492	-1.498233373	2.569594784e-16
25	-90	2.16913836812184	1.316717487	-1.365906994	2.407541708e-16
30	-90	2.10344992132185	1.451724961	-1.221641067	2.230866902e-16
35	-90	2.03656612380292	1.568126340	-1.068257304	2.043025967e-16
40	-90	1.96922236671536	1.665791738	-0.9085118513	1.847394210e-16
45	-90	1.90214303853574	1.745018241	-0.7450182413	1.647172284e-16

-45	-85	2.59635652162399	-1.432398235	-1.232398235	0.1603140727
-40	-85	2.60926791061117	-1.273450968	-1.394341203	0.1744822465
-35	-85	2.61466484794519	-1.095873595	-1.536328893	0.1869045597
-30	-85	2.61247905806706	-0.9025062307	-1.656006969	0.1973750346
-25	-85	2.60275137056923	-0.6965286318	-1.751513239	0.2057307506
-20	-85	2.58562958324005	-0.4813638970	-1.821527405	0.2118561964
-15	-85	2.56137684553550	-0.2605785357	-1.865312658	0.2156869096
-10	-85	2.53034500593030	-0.03776792680	-1.882705284	0.2172085673
-5	-85	2.49295624822722	0.1835451003	-1.874090825	0.2164548997
-2.84217e-14	-85	2.44972105034235	0.4000000000	-1.840399122	0.2135072577
5	-85	2.40119494252831	0.6084875781	-1.783023922	0.2084875781
10	-85	2.34798622911315	0.8062185438	-1.703779842	0.2015546195
15	-85	2.29073684833529	0.9907805388	-1.604822987	0.1928970164
20	-85	2.23012011836858	1.160181339	-1.488581063	0.1827271659
25	-85	2.16683700944827	1.312879673	-1.357676777	0.1712745249
30	-85	2.10160714922532	1.447800325	-1.214843399	0.1587782235
35	-85	2.03514915389646	1.564327384	-1.062831832	0.1454789347
40	-85	1.96818539363722	1.662293434	-0.9043427352	0.1316129354
45	-85	1.90142587272432	1.741945678	-0.7419456784	0.1174050339

-45	-80	2.58854521041450	-1.416314466	-1.216314466	0.3202652458
-40	-80	2.59998843837124	-1.256199907	-1.373782190	0.3480310541
-35	-80	2.60401727236749	-1.078262412	-1.511177517	0.3722575573
-30	-80	2.60063734517382	-0.8854180879	-1.626409437	0.3925760539
-25	-80	2.58994975558400	-0.6808456868	-1.717881055	0.4087049681
-20	-80	2.57215706788833	-0.4678964836	-1.784525991	0.4204562684
-15	-80	2.54755036160628	-0.2499942729	-1.825811651	0.4277360442
-10	-80	2.51649775450202	-0.03054224004	-1.841726379	0.4305422400
-5	-80	2.47942582863275	0.1871624104	-1.832744781	0.4289585421
-2.84217e-14	-80	2.43681365150576	0.4000000000	-1.799792977	0.4231482499
5	-80	2.38917977051011	0.6050907341	-1.744197818	0.4133453234
10	-80	2.33708173655286	0.7998463357	-1.667641254	0.3998463357
15	-80	2.28110082620844	0.9820110547	-1.572094827	0.3829989226
20	-80	2.22184657906448	1.149694821	-1.459769593	0.3631929532
25	-80	2.15995608904179	1.301399426	-1.333057307	0.3408501584
30	-80	2.09608397276093	1.436032285	-1.194460557	0.3164118120
35	-80	2.03089238082652	1.552907817	-1.046523001	0.2903264294
40	-80	1.96506010437785	1.651748783	-0.8917761088	0.2630403772
45	-80	1.89926002242193	1.732661079	-0.7326610791	0.2349841044

-45	-75	2.57537381680307	-1.389232179	-1.189232179	0.4794233174
-40	-75	2.58442298947597	-1.227307819	-1.339349939	0.5196472501
-35	-75	2.58624516434339	-1.048918020	-1.469269382	0.5544590597
-30	-75	2.58095662442590	-0.8570767946	-1.577320877	0.5834113707
-25	-75	2.56876109224407	-0.6549440908	-1.662334904	0.6061908104
-20	-75	2.54993451612440	-0.4457320003	-1.723629574	0.6226146678
-15	-75	2.52481243543047	-0.2326240912	-1.760985250	0.6326240912
-10	-75	2.49377906822872	-0.01870779469	-1.774609904	0.6362748060
-5	-75	2.45724916687183	0.1930814125	-1.765090277	0.6337240299
-2.84217e-14	-75	2.41566439378274	0.4000000000	-1.733352626	0.6252199517
5	-75	2.36948184384315	0.5995279286	-1.680614659	0.6110888562
10	-75	2.31918124529145	0.7893926599	-1.608355513	0.5917270763
15	-75	2.26525180747007	0.9675878516	-1.518266700	0.5675878516
20	-75	2.20820207215534	1.132390241	-1.412225650	0.5391742379
25	-75	2.14856861089976	1.282378578	-1.292266967	0.5070314057
30	-75	2.08690483344849	1.416444683	-1.160533834	0.4717336192
35	-75	2.02378599775005	1.533805890	-1.019242622	0.4338747528
40	-75	1.95981688330869	1.634018328	-0.8706457763	0.3940583481
45	-75	1.89561160605689	1.716969700	-0.7169697004	0.3528809677

-45	-70	2.55662537030463	-1.350754245	-1.150754245	0.6372224328
-40	-70	2.56243798557197	-1.186587524	-1.290821382	0.6882027014
-35	-70	2.56132282152403	-1.007872398	-1.410650159	0.7318168095
-30	-70	2.55354459009518	-0.8177112670	-1.509137783	0.7676633731
-25	-70	2.53942676761748	-0.6191888913	-1.585657631	0.7955143199
-20	-70	2.51932400838313	-0.4152924929	-1.639997715	0.8152924929
-15	-70	2.49361782836622	-0.2088638849	-1.672310953	0.8270535500
-10	-70	2.46270343586517	-0.002564489473	-1.683056670	0.8309646712
-5	-70	2.42696964766815	0.2011437672	-1.672937141	0.8272814638
-2.84217e-14	-70	2.38680375233791	0.4000000000	-1.642861873	0.8163349615
5	-70	2.34258756809741	0.5919423011	-1.593910540	0.7985181333
10	-70	2.29469623188972	0.7751012824	-1.527305084	0.7742757297
15	-70	2.24350610159217	0.9477943835	-1.444396471	0.7440994625
20	-70	2.18940641763408	1.108526021	-1.346659245	0.7085260214
25	-70	2.13280333731120	1.255992186	-1.235681166	0.6681333039
30	-70	2.07412223034713	1.389088665	-1.113151821	0.6235362695
35	-70	2.01382543240685	1.506931628	-0.9808621985	0.5753867847
40	-70	1.95241538642255	1.608879166	-0.8406860889	0.5243668533
45	-70	1.89042367083121	1.694545265	-0.6945452649	0.4711759433

-45	-65	2.53201007120344	-1.300353473	-1.100353473	0.7928878459
-40	-65	2.53387114821513	-1.133819859	-1.227935327	0.8523802416
-35	-65	2.52925392861508	-0.9552180436	-1.335451948	0.9025160652
-30	-65	2.51858882802720	-0.7676752808	-1.422472913	0.9430946078
-25	-65	2.50230986069968	-0.5741032379	-1.488971135	0.9741032379
-20	-65	2.48084829196567	-0.3771637154	-1.535239759	0.9956786518
-15	-65	2.45461627138892	-0.1792542682	-1.561806360	1.008066861
-10	-65	2.42399673110035	0.01748311735	-1.569361042	1.011589667
-5	-65	2.38933860911570	0.2111381552	-1.558700764	1.006618698
-2.84217e-14	-65	2.35096139490552	0.4000000000	-1.530694619	0.9935592181
5	-65	2.30915522039572	0.5825238638	-1.486257310	0.9728377605
10	-65	2.26418639236901	0.7572981388	-1.426338439	0.9448971321
15	-65	2.21630890181704	0.9230171437	-1.351926553	0.9101983001
20	-65	2.16577684840035	1.078462761	-1.264061116	0.8692259738
25	-65	2.11285141265059	1.222494222	-1.163844551	0.8224942221
30	-65	2.05782133764790	1.354052953	-1.052468187	0.7705585706
35	-65	2.00101383280281	1.472177855	-0.9312286664	0.7140236535
40	-65	1.94280532561616	1.576031935	-0.8015402839	0.6535489676
45	-65	1.88362446664656	1.664934701	-0.6649347013	0.5898487383

-45	-60	2.50118335866938	-1.237408867	-1.037408867	0.9453584501
-40	-60	2.49856049278800	-1.068800981	-1.150448846	1.010622112
-35	-60	2.49009868699974	-0.8911470283	-1.243949055	1.064604483
-30	-60	2.47636929489378	-0.7074660162	-1.318187408	1.107466016
-25	-60	2.45790788635639	-0.5203724118	-1.373745007	1.139542211
-20	-60	2.43518493411312	-0.3320813147	-1.411376881	1.161268984
-15	-60	2.40861362638344	-0.1444541625	-1.431930597	1.173135677
-10	-60	2.37854346137945	0.04094985877	-1.436274538	1.175643653
-5	-60	2.34526398280677	0.2228132936	-1.425253321	1.169280550
-2.84217e-14	-60	2.30901469360079	0.4000000000	-1.399665382	1.154507347
5	-60	2.26999063628580	0.5714997405	-1.360251003	1.131751444
10	-60	2.22834652928316	0.7363773456	-1.307690725	1.101405754
15	-60	2.18421615602894	0.8937303206	-1.242626642	1.063840988
20	-60	2.13771501897075	1.042653952	-1.165677221	1.019414219
25	-60	2.08897152344269	1.182222869	-1.077482357	0.9684948901
30	-60	2.03812975498057	1.311479336	-0.9787285197	0.9114793358
35	-60	1.98537486197015	1.429441470	-0.8701947836	0.8488173541
40	-60	1.93093649032793	1.535118169	-0.7527811555	0.7810285643
45	-60	1.87512266772088	1.627555937	-0.6275559375	0.7087297509

-45	-55	2.46377092865174	-1.161260284	-0.9612602841	1.093206220
-40	-55	2.45637466015852	-0.9914010942	-1.058207253	1.161089218
-35	-55	2.44398844430477	-0.8159888835	-1.136612100	1.215988883
-30	-55	2.42728754979099	-0.6377505201	-1.197436626	1.258578675
-25	-55	2.40684794678178	-0.4588378232	-1.241783656	1.289630799
-20	-55	2.38314112105161	-0.2809070365	-1.270776707	1.309931953
-15	-55	2.35654895846204	-0.1052150267	-1.285488148	1.320233015
-10	-55	2.32735639760225	0.06729252655	-1.286877845	1.321206091
-5	-55	2.29577152799733	0.2358909491	-1.275775035	1.313431820
-2.84217e-14	-55	2.26195233081857	0.4000000000	-1.252882876	1.297402557
5	-55	2.22600346516378	0.5591218079	-1.218770587	1.273516875
10	-55	2.18796819070343	0.7127812180	-1.173870435	1.242077450
15	-55	2.14786902020435	0.8604766222	-1.118522150	1.203322164
20	-55	2.10571210706499	1.001640489	-1.052993659	1.157438621
25	-55	2.06149630275969	1.135605670	-0.9775114508	1.104585409
30	-55	2.01523421778449	1.261583275	-0.8923060080	1.044923916
35	-55	1.96696387160633	1.378648736	-0.7976552418	0.9786487361
40	-55	1.91677369945816	1.485746839	-0.6939426961	0.9060284298
45	-55	1.86482824926539	1.581717930	-0.5817179302	0.8274478027

-45	-50	2.41941338265627	-1.071294640	-0.8712946399	1.234562790
-40	-50	2.40725669421487	-0.9016426995	-0.9512373634	1.301642699
-35	-50	2.39116952529281	-0.7302677885	-1.014189689	1.354465973
-30	-50	2.37185705236171	-0.5593728833	-1.061682577	1.394317238
-25	-50	2.34987198362252	-0.3904839402	-1.095198280	1.422440252
-20	-50	2.32563417645200	-0.2246034955	-1.116084000	1.439965451
-15	-50	2.29944694252682	-0.06234741187	-1.125504032	1.447869797
-10	-50	2.27150968332896	0.09593868274	-1.124417421	1.446958022
-5	-50	2.24194575289917	0.2500806568	-1.113585934	1.437869325
-2.84217e-14	-50	2.21082348944883	0.4000000000	-1.093589049	1.421089946
5	-50	2.17815390853276	0.5456535703	-1.064827927	1.396956499
10	-50	2.14389665517146	0.6869792041	-1.027539943	1.365668166
15	-50	2.10798506232147	0.8238503702	-0.9818311164	1.327313906
20	-50	2.07032938890617	0.9560354187	-0.9276947574	1.281888107
25	-50	2.03082880312315	1.083159579	-0.8650404442	1.229314896
30	-50	1.98937720675052	1.204666767	-0.7937237242	1.169473063
35	-50	1.94588775454308	1.319790180	-0.7135965128	1.102238349
40	-50	1.90031307749097	1.427530072	-0.6245626547	1.027530072
45	-50	1.85265941997111	1.526639992	-0.5266399920	0.9453632018

-45	-45	2.36781092965085	-0.9670562776	-0.7670562776	1.367056278
-40	-45	2.35127127957793	-0.7997916730	-0.8298560367	1.429856037
-35	-45	2.33202897325762	-0.6347506536	-0.8777770835	1.477777083
-30	-45	2.31073179450701	-0.4733745250	-0.9127290513	1.512729051
-25	-45	2.28783577812432	-0.3164257372	-0.9363799515	1.536379951
-20	-45	2.26365113416331	-0.1642004885	-0.9501281021	1.550128102
-15	-45	2.23837152529679	-0.01668805327	-0.9551009857	1.555100986
-10	-45	2.21209940101624	0.1263101469	-0.9521722882	1.552172288
-5	-45	2.18486806906375	0.2650936050	-0.9419871504	1.541987150
-2.84217e-14	-45	2.15665716987180	0.4000000000	-0.9249869095	1.524986910
5	-45	2.12740085075180	0.5313580364	-0.9014292268	1.501429227
10	-45	2.09699425298418	0.6594485803	-0.8714060166	1.471406017
15	-45	2.06530727040457	0.7844709675	-0.8348651847	1.434865185
20	-45	2.03217874166617	0.9065074832	-0.7916178728	1.391617873
25	-45	1.99743095231876	1.025486740	-0.7413606427	1.341360643
30	-45	1.96087470215859	1.141140973	-0.6836938216	1.283693822
35	-45	1.92232178294847	1.252958408	-0.6181508508	1.218150851
40	-45	1.88159652918457	1.360129045	-0.5442372385	1.144237239
45	-45	1.83856636881734	1.461496788	-0.4614967880	1.061496788