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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	2.45809497568487	-0.9191817959	-0.7191817959	1.419181796
-40	-45	2.43573361875866	-0.7428905754	-0.7812193084	1.481219308
-35	-45	2.41003674951391	-0.5693636874	-0.8272096186	1.527209619
-30	-45	2.38181071952798	-0.4002398334	-0.8592611305	1.559261130
-25	-45	2.35162844642942	-0.2364021314	-0.8792194672	1.579219467
-20	-45	2.31987614373998	-0.07821421055	-0.8886304871	1.588630487
-15	-45	2.28679437143493	0.07429770523	-0.8887425930	1.588742593
-10	-45	2.25251259945336	0.2213100631	-0.8805291724	1.580529172
-5	-45	2.21707485112754	0.3631049720	-0.8647173302	1.564717330
0	-45	2.18045618007439	0.5000000000	-0.8418153510	1.541815351
5	-45	2.14257770706804	0.6322951433	-0.8121404078	1.512140408
10	-45	2.10332257415165	0.7602315457	-0.7758464340	1.475846434
15	-45	2.06254019901825	0.8839558584	-0.7329427713	1.432942771
20	-45	2.02005583424820	1.003485926	-0.6833162139	1.383316214
25	-45	1.97567957351479	1.118675391	-0.6267536579	1.326753658
30	-45	1.92921962313221	1.229176478	-0.5629707079	1.262970708
35	-45	1.88049773504212	1.334400551	-0.4916474839	1.191647484
40	-45	1.82937588733332	1.433482230	-0.4124808008	1.112480801
45	-45	1.77578548352283	1.525250227	-0.3252502269	1.025250227

-45	-40	2.41011028732070	-0.9656372378	-0.5298156657	1.465637238
-40	-40	2.38616641451152	-0.7902388435	-0.5902388435	1.537646777
-35	-40	2.35874513002701	-0.6149412928	-0.6360993370	1.592301185
-30	-40	2.32863624967127	-0.4418908576	-0.6689095050	1.631402821
-25	-40	2.29642904603321	-0.2725060316	-0.6900898148	1.656644531
-20	-40	2.26254563579865	-0.1076595911	-0.7009028508	1.669531005
-15	-40	2.22727258573946	0.05216461119	-0.7024244901	1.671344424
-10	-40	2.19079210585124	0.2067434322	-0.6955406990	1.663140642
-5	-40	2.15320284907603	0.3560149118	-0.6809541661	1.645757089
0	-40	2.11453742610436	0.5000000000	-0.6591984577	1.619829645
5	-40	2.07477895938967	0.6387408676	-0.6306570948	1.585815373
10	-40	2.03387847672593	0.7722523145	-0.5955862784	1.544019602
15	-40	1.99176013850055	0.9004811453	-0.5541317190	1.494615982
20	-40	1.94833594159247	1.023271223	-0.5063532915	1.437675869
25	-40	1.90351622637553	1.140332332	-0.4522491945	1.373197117
30	-40	1.85722337738049	1.251212956	-0.3917852604	1.301139006
35	-40	1.80940740301982	1.355278090	-0.3249297395	1.221463699
40	-40	1.76006926692676	1.451697971	-0.2516979711	1.134189476
45	-40	1.70928281630444	1.539449754	-0.1722019053	1.039449754

-45	-35	2.36090324725250	-0.9960743435	-0.3475625330	1.496074343
-40	-35	2.33484744917564	-0.8225626157	-0.4036452393	1.576168749
-35	-35	2.30532309636124	-0.6469969363	-0.4469969363	1.638081388
-30	-35	2.27309208319421	-0.4718265525	-0.4786264149	1.683252965
-25	-35	2.23874884473053	-0.2988548621	-0.4995603902	1.713149780
-20	-35	2.20274231131581	-0.1293637947	-0.5107728376	1.729162815
-15	-35	2.16540070338436	0.03576480123	-0.5131441141	1.732549348
-10	-35	2.12695402827326	0.1959410679	-0.5074406053	1.724403894
-5	-35	2.08755279485499	0.3507750864	-0.4943079843	1.705648567
0	-35	2.04728583555116	0.5000000000	-0.4742749137	1.677038377
5	-35	2.00619708802348	0.6434093489	-0.4477636428	1.639176359
10	-35	1.96430275972128	0.7808071033	-0.4151058658	1.592536220
15	-35	1.92159746254288	0.9119667914	-0.3765557838	1.537480997
20	-35	1.87806847423279	1.036598537	-0.3323106267	1.474292364
25	-35	1.83370816510120	1.154323814	-0.2825325816	1.403201948
30	-35	1.78852600072346	1.264657565	-0.2273728960	1.324425753
35	-35	1.74256091650619	1.366998659	-0.1669986588	1.238202406
40	-35	1.69589863109436	1.460633265	-0.1016242994	1.144838145
45	-35	1.64868448961213	1.544750380	-0.03154209182	1.044750380

-45	-30	2.31116666720212	-1.013013742	-0.1735388914	1.513013742
-40	-30	2.28256605685181	-0.8418267329	-0.2232563055	1.599126830
-35	-30	2.25062244169144	-0.6669756273	-0.2622199931	1.666613916
-30	-30	2.21607078162206	-0.4910569821	-0.2910569821	1.716561046
-25	-30	2.17950812136514	-0.3161246226	-0.3104697239	1.750184901
-20	-30	2.14140726966146	-0.1437639406	-0.3211749462	1.768726890
-15	-30	2.10213349420432	0.02482402391	-0.3238619315	1.773380885
-10	-30	2.06196056146436	0.1887392462	-0.3191660930	1.765247454
-5	-30	2.02108750262512	0.3473051049	-0.3076555664	1.745310638
0	-30	1.97965466185880	0.5000000000	-0.2898273309	1.714431228
5	-30	1.93776009384396	0.6463994379	-0.2661109390	1.673353232
10	-30	1.89547605431896	0.7861292871	-0.2368777273	1.622719824
15	-30	1.85285519102867	0.9188279557	-0.2024488216	1.563087210
20	-30	1.80994333492705	1.044117072	-0.1631094206	1.494949369
25	-30	1.76678985218744	1.161580788	-0.1191241118	1.418764579
30	-30	1.72345899116314	1.270754292	-0.07075429213	1.334985594
35	-30	1.68003827462885	1.371120666	-0.01827525889	1.244089242
40	-30	1.63665029570576	1.462119415	0.03800482973	1.146609269
45	-30	1.59345848082447	1.543163444	0.09772930503	1.043163444

-45	-25	2.26132687932119	-1.018578088	-0.008124591852	1.518578088
-40	-25	2.22986126779403	-0.8497945613	-0.05011299909	1.608622518
-35	-25	2.19527031374984	-0.6762638405	-0.08334037685	1.679878859
-30	-25	2.15826946005689	-0.5006229956	-0.1081717298	1.733129868
-25	-25	2.11945995876398	-0.3250668076	-0.1250668076	1.769361479
-20	-25	2.07933725318127	-0.1513842344	-0.1345337841	1.789663475
-15	-25	2.03829910746759	0.01899061710	-0.1370928714	1.795151456
-10	-25	1.99665838553201	0.1849189062	-0.1332515329	1.786913679
-5	-25	1.95465675739443	0.3454969590	-0.1234889909	1.765977840
0	-25	1.91247877767717	0.5000000000	-0.1082484566	1.733294409
5	-25	1.87026620198603	0.6478325106	-0.08793559105	1.689733328
10	-25	1.82813355622191	0.7884871667	-0.06292224005	1.636092024
15	-25	1.78617439847064	0.9215115642	-0.03354977718	1.573102574
20	-25	1.74447205415383	1.046482583	-0.0001369606224	1.501448557
25	-25	1.70310687064623	1.162988203	0.03701179728	1.421782789
30	-25	1.66216845680603	1.270619244	0.07759506777	1.334751685
35	-25	1.62175736814114	1.368965675	0.1213067885	1.241011597
40	-25	1.58199600118878	1.457624418	0.1678252938	1.141252340
45	-25	1.54303011113756	1.536210968	0.2168068899	1.036210968

-45	-20	2.21161688922916	-1.014495515	0.1487687125	1.514495515
-40	-20	2.17707868910163	-0.8479841882	0.1152945580	1.606464999
-35	-20	2.13971041118938	-0.6761263371	0.08864557279	1.679682484
-30	-20	2.10021676213214	-0.5015323893	0.06861902073	1.734704984
-25	-20	2.05920545302663	-0.3264539657	0.05492236029	1.772336249
-20	-20	2.01719098629190	-0.1527944252	0.04720557481	1.793537943
-15	-20	1.97459877158494	0.01786441950	0.04508852746	1.799354483
-10	-20	1.93177391517635	0.1842236184	0.04818141202	1.790856852
-5	-20	1.88899195503939	0.3452235180	0.05609906318	1.769103284
0	-20	1.84647077986526	0.5000000000	0.06846979922	1.735114966
5	-20	1.80438322757147	0.6478439796	0.08493965127	1.689864420
10	-20	1.76287020243773	0.7881666273	0.1051728532	1.634274154
15	-20	1.72204681150415	0.9204702500	0.1288519626	1.569216336
20	-20	1.68201239453759	1.044325412	0.1556745882	1.495521778
25	-20	1.64285620961259	1.159353843	0.1853501361	1.413988880
30	-20	1.60466685757040	1.265219029	0.2175944930	1.325398237
35	-20	1.56753372102156	1.361620191	0.2521269256	1.230521159
40	-20	1.53155503117770	1.448294600	0.2886650464	1.130133497
45	-20	1.49683785952567	1.525021213	0.3269227891	1.025021213

-45	-15	2.16213128827059	-1.002133341	0.2975045844	1.502133341
-40	-15	2.12441950601004	-0.8376620184	0.2728451733	1.594163516
-35	-15	2.08424390102166	-0.6676768263	0.2531638185	1.667615332
-30	-15	2.04230431222568	-0.4947216214	0.2383480889	1.722908388
-25	-15	1.99921448240033	-0.3210415172	0.2282140286	1.760729216
-20	-15	1.95550272662875	-0.1485779231	0.2225270795	1.781953199
-15	-15	1.91161442287547	0.02102052414	0.2210205241	1.787575740
-10	-15	1.86791687893320	0.1863750414	0.2234106882	1.778655526
-5	-15	1.82470753702428	0.3463461047	0.2294083200	1.756272059
0	-15	1.78222392279381	0.5000000000	0.2387265061	1.721496115
5	-15	1.74065471733629	0.6465760250	0.2510855240	1.675371633
10	-15	1.70015150083168	0.7854569976	0.2662151551	1.618907081
15	-15	1.66083361213913	0.9161431320	0.2838568680	1.553067312
20	-15	1.62279748127124	1.038230198	0.3037633483	1.478775316
25	-15	1.58612222145142	1.151391937	0.3256978830	1.396914518
30	-15	1.55087836471415	1.255368449	0.3494322826	1.308336533
35	-15	1.51712854958173	1.349956115	0.3747463540	1.213863132
40	-15	1.48493484377587	1.435004096	0.4014256911	1.114294491
45	-15	1.45435944684739	1.510411267	0.4292611169	1.010411267

-45	-10	2.11286911307305	-0.9825449907	0.4385873180	1.482544991
-40	-10	2.07198180394660	-0.8198582044	0.4226472239	1.572945757
-35	-10	2.02906436301147	-0.6518700781	0.4099348951	1.645040956
-30	-10	1.98481441561494	-0.4810350358	0.4003847490	1.699202526
-25	-10	1.93984796257782	-0.3095432349	0.3938838300	1.736071070
-20	-10	1.89469861115344	-0.1393086498	0.3902841130	1.756486079
-15	-10	1.84981999711223	0.02802801384	0.3894135245	1.761423432
-10	-10	1.80558795076935	0.1910858039	0.3910858039	1.751939464
-5	-10	1.76230679591388	0.3487209715	0.3951082202	1.729127208
0	-10	1.72021794373175	0.5000000000	0.4012872889	1.694083968
5	-10	1.67951025644282	0.6441716508	0.4094326184	1.647889509
10	-10	1.64033030178139	0.7806406170	0.4193593830	1.591592029
15	-10	1.60278653085868	0.9089426774	0.4308906702	1.526194850
20	-10	1.56695948969350	1.028723012	0.4438578118	1.452654535
25	-10	1.53290678760596	1.139717310	0.4581008595	1.371878198
30	-10	1.50067089449429	1.241737219	0.4734680466	1.284726549
35	-10	1.47028131640610	1.334657138	0.4898157830	1.192013928
40	-10	1.44176095426706	1.418405760	0.5070077631	1.094513364
45	-10	1.41512858314141	1.492958711	0.5249145884	0.9929587115

-45	-5	2.06376498577812	-0.9565177342	0.5725712100	1.456517734
-40	-5	2.01978932311575	-0.7953895549	0.5649362999	1.543785156
-35	-5	1.97428525602396	-0.6295065928	0.5588718103	1.613102589
-30	-5	1.92794508779466	-0.4612174619	0.5543420942	1.664877481
-25	-5	1.88137931488095	-0.2926175006	0.5512890693	1.699773715
-20	-5	1.83511405485556	-0.1255355699	0.5496380587	1.718644853
-15	-5	1.78959482604460	0.03846388056	0.5493028552	1.722476247
-10	-5	1.74518903649553	0.1980697160	0.5501903854	1.712331731
-5	-5	1.70219052057110	0.3522045950	0.5522045950	1.689309209
0	-5	1.66082805423306	0.5000000000	0.5552492974	1.654508102
5	-5	1.62127554046313	0.6407698329	0.5592301671	1.609006553
10	-5	1.58366040539243	0.7739846664	0.5640562426	1.553844258
15	-5	1.54806926053812	0.8992467282	0.5696410974	1.490009074
20	-5	1.51455917581470	1.016267986	0.5759030496	1.418434634
25	-5	1.48316009782673	1.124849354	0.5827657364	1.339993764
30	-5	1.45388510832626	1.224864916	0.5901577325	1.255502863
35	-5	1.42673103779868	1.316245833	0.5980127275	1.165719859
40	-5	1.40168737131641	1.398970580	0.6062688962	1.071351419
45	-5	1.37873643972027	1.473053661	0.6148688356	0.9730536612

-45	0	2.01470827046332	-0.9246138802	0.7000000000	1.424613880
-40	0	1.96781534695599	-0.7648873232	0.7000000000	1.507434012
-35	0	1.91996500716364	-0.6012466867	0.7000000000	1.572743261
-30	0	1.87183486187454	-0.4359174309	0.7000000000	1.621056542
-25	0	1.82401619385810	-0.2708625532	0.7000000000	1.653120080
-20	0	1.77701150399369	-0.1077737293	0.7000000000	1.669844597
-15	0	1.73123818684116	0.05192258564	0.7000000000	1.672247676
-10	0	1.68703550195854	0.2070493594	0.7000000000	1.661405642
-5	0	1.64466850442423	0.3566576949	0.7000000000	1.638410044
0	0	1.60433677493512	0.5000000000	0.7000000000	1.604336775
5	0	1.56618494953456	0.6365020126	0.7000000000	1.560225143
10	0	1.53031088937050	0.7657356972	0.7000000000	1.507062028
15	0	1.49677320670125	0.8873934121	0.7000000000	1.445771896
20	0	1.46560177253797	1.001265328	0.7000000000	1.377215171
25	0	1.43679940038798	1.107217665	0.7000000000	1.302182485
30	0	1.41035359227891	1.205176796	0.7000000000	1.221402039
35	0	1.38623540984512	1.295111966	0.7000000000	1.135537570
40	0	1.36440994757285	1.377025809	0.7000000000	1.045198658
45	0	1.34483513567090	1.450942044	0.7000000000	0.9509420440

-45	5	1.96556204000457	-0.8872102631	0.8213651719	1.387210263
-40	5	1.91600361333107	-0.7288267096	0.8281235297	1.464458646
-35	5	1.86612860278913	-0.5676291855	0.8333968081	1.524732493
-30	5	1.81658345195350	-0.4056957825	0.8372444386	1.568711112
-25	5	1.76792095648329	-0.2448179528	0.8397427774	1.597267254
-20	5	1.72059899618793	-0.08650080673	0.8409790332	1.611397723
-15	5	1.67498599926087	0.06802147226	0.8410462324	1.612165813
-10	5	1.63137164115091	0.2177609458	0.8400393607	1.600657217
-5	5	1.58997371242163	0.3619479982	0.8380520018	1.577941601
0	5	1.55094724954276	0.5000000000	0.8351739595	1.545045427
5	5	1.51439645844060	0.6314898862	0.8314898862	1.502936277
10	5	1.48038278978822	0.7561168944	0.8270782538	1.452511087
15	5	1.44893512948471	0.8736800572	0.8220110742	1.394592959
20	5	1.42005546217254	0.9840544927	0.8163536923	1.329928788
25	5	1.39372528743460	1.087170830	0.8101650172	1.259191908
30	5	1.36991308734922	1.182998903	0.8034981093	1.182988802
35	5	1.34857589314041	1.271532562	0.7964004942	1.101862691
40	5	1.32966642353536	1.352780029	0.7889150492	1.016303663
45	5	1.31313229911769	1.426753043	0.7810803852	0.9267530432

-45	10	1.91617296561995	-0.8445284489	0.9370766419	1.344528449
-40	10	1.86428246201879	-0.6875531426	0.9495504137	1.415270724
-35	10	1.81278155376041	-0.5290894996	0.9591463737	1.469692118
-30	10	1.76226532900060	-0.3710356074	0.9660206238	1.508677927
-25	10	1.71322253612153	-0.2149672246	0.9703537242	1.533252161
-20	10	1.66604225567774	-0.06215548935	0.9723386991	1.544509513
-15	10	1.62102178691249	0.08640469149	0.9721710460	1.543558705
-10	10	1.57838054240714	0.2299582354	0.9700417646	1.531482950
-5	10	1.53827247487473	0.3679524098	0.9661322273	1.509310862
0	10	1.50079558756548	0.5000000000	0.9606104188	1.477995130
5	10	1.46600641690695	0.6258441646	0.9536296783	1.438405383
10	10	1.43392692191069	0.7453275024	0.9453275024	1.391321404
15	10	1.40455467725349	0.8583648472	0.9358260196	1.337435818
20	10	1.37786892591718	0.9649201289	0.9252326012	1.277357556
25	10	1.35383747999502	1.064987563	0.9136412503	1.211619739
30	10	1.33241923171144	1.158575400	0.9011337279	1.140686054
35	10	1.31357024900370	1.245694564	0.8877815702	1.064962205
40	10	1.29724354515150	1.326347767	0.8736473254	0.9848029196
45	10	1.28339283430143	1.400523182	0.8587865338	0.9005231823

-45	15	1.86638567230292	-0.7966650826	1.047440362	1.296665083
-40	15	1.81257944843954	-0.6413088030	1.064453470	1.360158866
-35	15	1.75992758850308	-0.4859818517	1.077306765	1.408128016
-30	15	1.70894520534372	-0.3323562436	1.086297877	1.441683304
-25	15	1.66002981412019	-0.1817444597	1.091743250	1.462005712
-20	15	1.61347531585562	-0.03513833303	1.093960469	1.470280486
-15	15	1.56948583680908	0.1067452230	1.093254777	1.467646808
-10	15	1.52819312890375	0.2434149709	1.089910557	1.455166011
-5	15	1.48967432238084	0.3745583839	1.084186686	1.433804233
0	15	1.45396240341705	0.5000000000	1.076313161	1.404419836
5	15	1.42106072282682	0.6196638426	1.066491254	1.367763980
10	15	1.39095102847405	0.7335419545	1.054893947	1.324482241
15	15	1.36360310637137	0.8416682221	1.041668222	1.275123164
20	15	1.33897956462385	0.9440968418	1.026937147	1.220146045
25	15	1.31704142699046	1.040885283	1.010802905	1.159932233
30	15	1.29774995481667	1.132080112	0.9933494011	1.094794869
35	15	1.28107188498357	1.217707727	0.9746460090	1.024992860
40	15	1.26697495839114	1.297763472	0.9547493408	0.9507374832
45	15	1.25543447338239	1.372208820	0.9337076490	0.8722088201

-45	20	1.81605051744278	-0.7436151929	1.152638913	1.243615193
-40	20	1.76083242328736	-0.5902565334	1.172912764	1.299317141
-35	20	1.70757924997164	-0.4385984749	1.187886645	1.340457541
-30	20	1.65669194560102	-0.2900282830	1.198045631	1.368369126
-25	20	1.60844578858365	-0.1455433568	1.203870273	1.384372196
-20	20	1.56301407297693	-0.005815701270	1.205815701	1.389717218
-15	20	1.52048906899302	0.1287438793	1.204297759	1.385546705
-10	20	1.48090265756186	0.2579250455	1.199685740	1.372875289
-5	20	1.44424626038033	0.3816642100	1.192300413	1.352584269
0	20	1.41048359507468	0.5000000000	1.182413801	1.325421026
5	20	1.37956458094427	0.6130360306	1.170252361	1.292007742
10	20	1.35143325591409	0.7209113086	1.156000213	1.252850288
15	20	1.32603560095093	0.8237766342	1.139803742	1.208350849
20	20	1.30332264647316	0.9217755104	1.121775510	1.158818691
25	20	1.28325739544220	1.015030281	1.102000029	1.104486002
30	20	1.26581304204370	1.103629484	1.080537044	1.045516935
35	20	1.25097594521658	1.187619104	1.057426724	0.9820218531
40	20	1.23874377094320	1.266994333	1.032693636	0.9140682515
45	20	1.22912712484974	1.341695290	1.006352032	0.8416952898

-45	25	1.76503507601085	-0.6852968340	1.252712991	1.185296834
-40	25	1.70900346462800	-0.5345054265	1.274899315	1.232875559
-35	25	1.65576984601161	-0.3871901496	1.290829916	1.267038844
-30	25	1.60558401964446	-0.2443854075	1.301216687	1.289313346
-25	25	1.55857068349658	-0.1067229215	1.306722922	1.301121504
-20	25	1.51475894835512	0.02547856471	1.307942514	1.303736929
-15	25	1.47411601710563	0.1521297423	1.305392999	1.298269476
-10	25	1.43656763752638	0.2733035827	1.299512763	1.285659270
-5	25	1.40201680115791	0.3891795920	1.290664011	1.266683060
0	25	1.37035906823804	0.5000000000	1.279138767	1.241967095
5	25	1.34149404162313	0.6060364732	1.265166017	1.212002435
10	25	1.31533104340555	0.7075647726	1.248917940	1.177158321
15	25	1.29179752535311	0.8048457060	1.230518066	1.137699663
20	25	1.27083896580831	0.8981097657	1.210046194	1.093797592
25	25	1.25242535703805	0.9875461727	1.187546173	1.045546141
30	25	1.23654765819524	1.073291725	1.163029700	0.9929703954
35	25	1.22322145374020	1.155423232	1.136483265	0.9360413829
40	25	1.21248518528045	1.233949655	1.107873311	0.8746871384
45	25	1.20439652136310	1.308803974	1.077151487	0.8088039739

-45	30	1.71323745280424	-0.6215771873	1.347542891	1.121577187
-40	30	1.65708854300490	-0.4741342202	1.370262068	1.160927957
-35	30	1.60456554404582	-0.3319871195	1.386008021	1.188200746
-30	30	1.55572567109386	-0.1957416710	1.395741671	1.205059923
-25	30	1.51051522946357	-0.06561783806	1.400309346	1.212971368
-20	30	1.46880747040064	0.05843743572	1.400431632	1.213183175
-15	30	1.43043773767692	0.1766572389	1.396706821	1.206731613
-10	30	1.39522488947228	0.2893855203	1.389618379	1.194454070
-5	30	1.36298899102625	0.3970250121	1.379546750	1.177009497
0	30	1.33356301035247	0.5000000000	1.366781505	1.154899445
5	30	1.30680214872767	0.5987300237	1.351533621	1.128489335
10	30	1.28258707233987	0.6936113748	1.333944839	1.098024670
15	30	1.26083083470721	0.7850040324	1.314098342	1.063649529
20	30	1.24147704710574	0.8732209969	1.292024355	1.025416262
25	30	1.22450437265970	0.9585200483	1.267708183	0.9832994168
30	30	1.20992682437614	1.041095725	1.241095725	0.9372052882
35	30	1.19779346319139	1.121070755	1.212098696	0.8869809602
40	30	1.18818859344282	1.198487220	1.180600598	0.8324246532
45	30	1.18122751790477	1.273294931	1.146462036	0.7732949305

-45	35	1.66060749165203	-0.5523058349	1.436832478	1.052305835
-40	35	1.60513630266064	-0.4092214002	1.458722391	1.083567870
-35	35	1.55407185731797	-0.2732172822	1.473217282	1.104268720
-30	35	1.50724241092057	-0.1443989695	1.481523869	1.116131756
-25	35	1.46439732208441	-0.02254227781	1.484649438	1.120595531
-20	35	1.42524962060308	0.09278009731	1.483411441	1.118827487
-15	35	1.38950613033717	0.2021070264	1.478456930	1.111751713
-10	35	1.35688803923028	0.3060259306	1.470285438	1.100081613
-5	35	1.32714252171970	0.4051316313	1.459270335	1.084350416
0	35	1.30004992107219	0.5000000000	1.445678001	1.064938551
5	35	1.27542936858966	0.5911717480	1.429684769	1.042097848
10	35	1.25313898146772	0.6791426121	1.411388620	1.015968239
15	35	1.23308028038958	0.7643572010	1.390820910	0.9865945056
20	35	1.21519737664999	0.8472041320	1.367952837	0.9539355127
25	35	1.19947888238291	0.9280111811	1.342701552	0.9178729399
30	35	1.18596067962937	1.007039766	1.314935310	0.8782186367
35	35	1.17472455026185	1.084475756	1.284475756	0.8347178863
40	35	1.16590119342015	1.160418878	1.251102943	0.7870565701
45	35	1.15966999351233	1.234868117	1.214560195	0.7348681172

-45	40	1.60716269636288	-0.4773484257	1.520092703	0.9773484257
-40	40	1.55326255942824	-0.3398742335	1.539874233	1.000923135
-35	40	1.50444848003985	-0.2111288591	1.552187289	1.015597263
-30	40	1.46029622832083	-0.09066316906	1.558448110	1.023058619
-25	40	1.42035308542889	0.02220107678	1.559777645	1.024643097
-20	40	1.38417956845348	0.1282461766	1.557043974	1.021385235
-15	40	1.35136886452842	0.2282816640	1.550902940	1.014066635
-10	40	1.32156051699994	0.3230976365	1.541837746	1.003263158
-5	40	1.29444412400184	0.4134402727	1.530190247	0.9893822098
0	40	1.26976088798136	0.5000000000	1.516186566	0.9726932723
5	40	1.24730431053064	0.5834074789	1.499957182	0.9533518459
10	40	1.22691678379892	0.6642334770	1.481549423	0.9314143326
15	40	1.20849191386779	0.7429902157	1.460939037	0.9068518309
20	40	1.19197416198104	0.8201325624	1.438035943	0.8795569864
25	40	1.17735869848411	0.8960569552	1.412686655	0.8493468814
30	40	1.16469674720331	0.9710985746	1.384677329	0.8159666666
35	40	1.15409766334920	1.045523603	1.353732827	0.7790884456
40	40	1.14573420684876	1.119517050	1.319517050	0.7383116701
45	40	1.13984777000988	1.193164685	1.281634231	0.6931646846

-45	45	1.55301965165593	-0.3966363139	1.596636314	0.8966363139
-40	45	1.50166406754550	-0.2662595378	1.613192557	0.9131925570
-35	45	1.45591254901231	-0.1460067516	1.622593255	0.9225932547
-30	45	1.41508152136095	-0.03485054149	1.626388312	0.9263883123
-25	45	1.37853126052523	0.06831898336	1.625742928	0.9257429276
-20	45	1.34569061785790	0.1645952671	1.621516930	0.9215169299
-15	45	1.31606434941071	0.2550056880	1.614331220	0.9143312198
-10	45	1.28923341066151	0.3404908466	1.604621362	0.9046213620
-5	45	1.26484979635019	0.4219008559	1.592677302	0.8926773020
0	45	1.24263083618865	0.5000000000	1.578672691	0.8786726908
5	45	1.22235504418779	0.5754752723	1.562686310	0.8626863095
10	45	1.20385592923517	0.6489459074	1.544714216	0.8447142165
15	45	1.18702176807121	0.7209721595	1.524679326	0.8246793263
20	45	1.17179528655752	0.7920624398	1.502434958	0.8024349584
25	45	1.15817405156107	0.8626771234	1.477763601	0.7777636009
30	45	1.14621588022127	0.9332288811	1.450374433	0.7503744334
35	45	1.13604651026486	1.004078158	1.419898216	0.7198982165
40	45	1.12786794622990	1.075521243	1.385879509	0.6858795093
45	45	1.12197071906479	1.147770097	1.347770097	0.6477700967


### +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	1.77578573429770	1.525250372	-0.3252503717	1.025250372
45	-40	1.70928303069008	1.539449884	-0.1722020147	1.039449884
45	-35	1.64868460557705	1.544750454	-0.03154214327	1.044750454
45	-30	1.59345862314645	1.543163537	0.09772925124	1.043163537
45	-25	1.54303016772331	1.536211006	0.2168068722	1.036211006
45	-20	1.49683792359647	1.525021256	0.3269227732	1.025021256
45	-15	1.45435947967282	1.510411290	0.4292611108	1.010411290
45	-10	1.41512861102840	1.492958731	0.5249145850	0.9929587311
45	-5	1.37873645446641	1.473053672	0.6148688347	0.9730536716
45	0	1.34483514520868	1.450942051	0.7000000000	0.9509420508
45	5	1.31313230612894	1.426753048	0.7810803856	0.9267530481
45	10	1.28339284536175	1.400523190	0.8587865352	0.9005231901
45	15	1.25543448413039	1.372208828	0.9337076510	0.8722088276
45	20	1.22912714004792	1.341695300	1.006352036	0.8416953002
45	25	1.20439652933994	1.308803979	1.077151489	0.8088039793
45	30	1.18122754280183	1.273294947	1.146462046	0.7732949468
45	35	1.15967002461452	1.234868137	1.214560209	0.7348681369
45	40	1.13984780188218	1.193164704	1.281634247	0.6931647040
45	45	1.12197072440807	1.147770100	1.347770100	0.6477700998

50	-45	1.78962755454672	1.588309029	-0.3883090286	0.9131997045
50	-40	1.71977464334910	1.608223601	-0.2299100153	0.9299100153
50	-35	1.65538361341288	1.617487962	-0.08247349514	0.9376837371
50	-30	1.59617470150416	1.618252759	0.05437646877	0.9383254773
50	-25	1.54176784131192	1.612231735	0.1813578243	0.9332732386
50	-20	1.49174363983600	1.600756696	0.2993573275	0.9236445377
50	-15	1.44567928235067	1.584837134	0.4093187661	0.9102864389
50	-10	1.40317896200568	1.565223831	0.5121722982	0.8938289234
50	-5	1.36388017861754	1.542454255	0.6087970704	0.8747229809
50	0	1.32746794599726	1.516899443	0.7000000000	0.8532799479
50	5	1.29367290108064	1.488792741	0.7865081554	0.8296956244
50	10	1.26227861863297	1.458259283	0.8689669660	0.8040750106
50	15	1.23311786787525	1.425331137	0.9479417308	0.7764450154
50	20	1.20607533640655	1.389962234	1.023919763	0.7467669825
50	25	1.18109007400721	1.352038697	1.097312169	0.7149453562
50	30	1.15815832190713	1.311385957	1.168453901	0.6808336576
50	35	1.13733599361225	1.267773265	1.237600628	0.6442382637
50	40	1.11874556327825	1.220920175	1.304923853	0.6049238532
50	45	1.10258162919663	1.170502384	1.370502384	0.5626183032

55	-45	1.80159329315743	1.641646743	-0.4416467432	0.7993896556
55	-40	1.72909592457093	1.667248404	-0.2794377057	0.8173161318
55	-35	1.66155911039434	1.680645376	-0.1266967924	0.8266967924
55	-30	1.59893232657593	1.684029279	0.01640037720	0.8290662264
55	-25	1.54102909469255	1.679236189	0.1501131345	0.8257100686
55	-20	1.48758227676823	1.667758908	0.2749705166	0.8176735904
55	-15	1.43828612663355	1.650780864	0.3916491969	0.8057854356
55	-10	1.39282999014793	1.629221143	0.5008878453	0.7906891564
55	-5	1.35091288992355	1.603772149	0.6034324498	0.7728695794
55	0	1.31226388450805	1.574943644	0.7000000000	0.7526836424
55	5	1.27664352701832	1.543089884	0.7912585399	0.7303793999
55	10	1.24385570730289	1.508441930	0.8778155207	0.7061186411
55	15	1.21374653892696	1.471125470	0.9602122854	0.6799893744
55	20	1.18620866979761	1.431179245	1.038921528	0.6520187267
55	25	1.16118351243616	1.388568311	1.114346208	0.6221822294
55	30	1.13866334533676	1.343194372	1.186818498	0.5904110557
55	35	1.11869222383770	1.294903289	1.256597275	0.5565972750
55	40	1.10137039367631	1.243494225	1.323865730	0.5206002611
55	45	1.08685493548369	1.188726142	1.388726142	0.4822512361

60	-45	1.81172988926754	1.686055622	-0.4860556223	0.6847695328
60	-40	1.73718070270099	1.717039157	-0.3212171077	0.7026578849
60	-35	1.66708324252014	1.734495880	-0.1644033209	0.7127365285
60	-30	1.60158287888450	1.740580763	-0.01624963776	0.7162496378
60	-25	1.54067173981094	1.737187598	0.1230899486	0.7142905926
60	-20	1.48423362521682	1.725924635	0.2537999236	0.7077879177
60	-15	1.43208675349151	1.708122739	0.3762844877	0.6975099886
60	-10	1.38401382106724	1.684856258	0.4910778735	0.6840770793
60	-5	1.33978567544026	1.656972268	0.5987780425	0.6679782503
60	0	1.29918152084807	1.625124201	0.7000000000	0.6495907604
60	5	1.26199582601210	1.589796823	0.7953448676	0.6291944892
60	10	1.22805345533273	1.551338360	0.8853793188	0.6069904854
60	15	1.19721043748599	1.509978725	0.9706229836	0.5831114886
60	20	1.16936040920515	1.465850462	1.051540819	0.5576340241
60	25	1.14443844544777	1.419005012	1.128539075	0.5305877912
60	30	1.12242096703132	1.369423543	1.201961916	0.5019619163
60	35	1.10332705016529	1.317027406	1.272088749	0.4717109929
60	40	1.08722086962784	1.261688389	1.339132446	0.4397609963
60	45	1.07421106744568	1.203236218	1.403236218	0.4060136200

65	-45	1.82011508610355	1.722285426	-0.5222854256	0.5699610544
65	-40	1.74400265512188	1.758123984	-0.3556913709	0.5866728486
65	-35	1.67186442010895	1.779354837	-0.1958139011	0.5965729581
65	-30	1.60400529130948	1.788045598	-0.04365347296	0.6006255266
65	-25	1.54057268178206	1.786096464	0.1002833697	0.5997166303
65	-20	1.48159005538572	1.775188815	0.2358692283	0.5946303100
65	-15	1.42699617826702	1.756770539	0.3632493491	0.5860417267
65	-10	1.37666985306784	1.732053620	0.4827557051	0.5745160382
65	-5	1.33045457620363	1.702028586	0.5948361255	0.5605151351
65	0	1.28818261613972	1.667489936	0.7000000000	0.5444094980
65	5	1.24968434833754	1.629054939	0.7987795077	0.5264869646
65	10	1.21480461181054	1.587191977	0.8917012788	0.5069659449
65	15	1.18340616059513	1.542238249	0.9792668971	0.4860036770
65	20	1.15537821385539	1.494421750	1.061939917	0.4637064773
65	25	1.13064180366587	1.443879145	1.140138074	0.4401380737
65	30	1.10915009755243	1.390667823	1.214227307	0.4153252268
65	35	1.09088972859657	1.334777650	1.284517603	0.3892632109
65	40	1.07588343876113	1.276142602	1.351260971	0.3619212390
65	45	1.06418828166379	1.214648121	1.414648121	0.3332458918

70	-45	1.82683236080676	1.750998503	-0.5509985031	0.4553262182
70	-40	1.74955625454103	1.790996463	-0.3832746557	0.4698842850
70	-35	1.67583736631150	1.815540017	-0.2211510366	0.4788174081
70	-30	1.60610297980672	1.826584424	-0.06590387419	0.4828372435
70	-25	1.54062780670306	1.826001980	0.08167512201	0.4826252513
70	-20	1.47955728138053	1.815513573	0.2211922165	0.4788077835
70	-15	1.42293877712519	1.796653935	0.3525626253	0.4719434364
70	-10	1.37074086474144	1.770749465	0.4759325835	0.4625149806
70	-5	1.32287776648493	1.738918670	0.5916086613	0.4509295187
70	0	1.27923311578463	1.702085919	0.7000000000	0.4375234936
70	5	1.23966959266900	1.660991471	0.8015735921	0.4225663375
70	10	1.20405069105917	1.616218836	0.8968194971	0.4062704311
70	15	1.17224298679970	1.568207224	0.9862252631	0.3887956337
70	20	1.14412837585849	1.517274848	1.070257765	0.3702577647
70	25	1.11960927768318	1.463635806	1.149350756	0.3507347502
70	30	1.09861276862579	1.407415405	1.223896529	0.3302721977
70	35	1.08109114468036	1.348661506	1.294239184	0.3088875271
70	40	1.06702588217411	1.287357729	1.360671580	0.2865747771
70	45	1.05642572832113	1.223430914	1.423430914	0.2633073193

75	-45	1.83196245951342	1.772749673	-0.5727496729	0.3410322470
75	-40	1.75385169778491	1.816089587	-0.4043302866	0.3526451419
75	-35	1.67896014880365	1.843345510	-0.2406206524	0.3599483445
75	-30	1.60780381225200	1.856359411	-0.08309447104	0.3634354088
75	-25	1.54075517185355	1.856959280	0.06723949578	0.3635961433
75	-20	1.47805852942474	1.846881847	0.2097750986	0.3608959032
75	-15	1.41985181067929	1.827722066	0.3442379447	0.3557620553
75	-10	1.36618070169999	1.800895603	0.4706170061	0.3485739262
75	-5	1.31702163870488	1.767626871	0.5890970192	0.3396595964
75	0	1.27230336857084	1.728950683	0.7000000000	0.3292963429
75	5	1.23191741844482	1.685714476	0.8037365749	0.3177112364
75	10	1.19574144446446	1.638601054	0.9007660861	0.3050872330
75	15	1.16364403817300	1.588138815	0.9915659167	0.2915659167
75	20	1.13549809449394	1.534723416	1.076608524	0.2772533037
75	25	1.11118797978631	1.478634938	1.156344966	0.2622244412
75	30	1.09061509562458	1.420053826	1.231193324	0.2465276796
75	35	1.07370035752282	1.359073728	1.301529900	0.2301881117
75	40	1.06038911070033	1.295715549	1.367684624	0.2132113387
75	45	1.05064919168277	1.229934944	1.429934944	0.1955854787

80	-45	1.83557411688884	1.787974345	-0.5879743450	0.2271046275
80	-40	1.75690460679180	1.833754785	-0.4191531485	0.2351769543
80	-35	1.68120659768463	1.863019212	-0.2543963269	0.2403370623
80	-30	1.60905539655693	1.877514680	-0.09530847123	0.2428930044
80	-25	1.54089209401988	1.879024665	0.05695023810	0.2431592554
80	-20	1.47703331551179	1.869288203	0.2016198518	0.2414424546
80	-15	1.41768497430578	1.849938663	0.3382850255	0.2380306085
80	-10	1.36295189024348	1.822455217	0.4668154645	0.2331845355
80	-5	1.31285895469405	1.788141284	0.5873022406	0.2271340633
80	0	1.26737020114181	1.748116000	0.7000000000	0.2200765259
80	5	1.22639966382084	1.703309793	0.8052759656	0.2121759827
80	10	1.18983554396069	1.654482585	0.9035664286	0.2035664286
80	15	1.15754660340725	1.602231414	0.9953420172	0.1943531373
80	20	1.12939791426053	1.547011753	1.081081113	0.1846164212
80	25	1.10525840070840	1.489153362	1.161249788	0.1744144258
80	30	1.08500820675489	1.428877114	1.236287452	0.1637860969
80	35	1.06854338634464	1.366309451	1.306596408	0.1527537298
80	40	1.05578114240500	1.301496647	1.372535541	0.1413254838
80	45	1.04665850466174	1.234412895	1.434412895	0.1294968084

85	-45	1.83772014692407	1.796984881	-0.5969848810	0.1134714739
85	-40	1.75873019827593	1.844249889	-0.4279595861	0.1176066262
85	-35	1.68256084688689	1.874747266	-0.2626083989	0.1202748010
85	-30	1.60982130572464	1.890161606	-0.1026101777	0.1216233810
85	-25	1.54099321629715	1.892244373	0.05078578686	0.1218055995
85	-20	1.47643712595664	1.882732077	0.1967266822	0.1209733814
85	-15	1.41640106183295	1.863279079	0.3347104718	0.1192714646
85	-10	1.36102696366129	1.835402416	0.4645325239	0.1168325727
85	-5	1.31037043209047	1.800454216	0.5862249987	0.1137750013
85	0	1.26441794791187	1.759606456	0.7000000000	0.1102012854
85	5	1.22309780088186	1.713842019	0.8061974160	0.1061974160
85	10	1.18630481203603	1.663969822	0.9052392843	0.1018341641
85	15	1.15390713772869	1.610629963	0.9975924018	0.09716753118
85	20	1.12576438141811	1.554315482	1.083739453	0.09224065250
85	25	1.10173537227245	1.495387167	1.164156659	0.08708509297
85	30	1.08168637173099	1.434090547	1.239297429	0.08172233358
85	35	1.06549751182394	1.370571661	1.309580840	0.07616515114
85	40	1.05306819770961	1.304891398	1.375384075	0.07041887269
85	45	1.04431667762475	1.237034387	1.437034387	0.06448215349

90	-45	1.83843101675315	1.799967039	-0.5999670387	0.000000000
90	-40	1.75933671190206	1.847730112	-0.4308798397	0.000000000
90	-35	1.68301237921391	1.878643031	-0.2653362428	0.000000000
90	-30	1.61007820216149	1.894368625	-0.1050391011	0.000000000
90	-25	1.54102922927586	1.896646791	0.04873290583	0.000000000
90	-20	1.47624071345174	1.887212505	0.1950959396	0.000000000
90	-15	1.41597494710758	1.867726771	0.3335187163	0.000000000
90	-10	1.36038652191852	1.839719194	0.4637713595	0.000000000
90	-5	1.30954155708068	1.804558356	0.5858659329	0.000000000
90	0	1.26343423958871	1.763434240	0.7000000000	0.000000000
90	5	1.22199774829108	1.717347678	0.8065041214	0.000000000
90	10	1.18512915733921	1.667124382	0.9057955185	0.000000000
90	15	1.15269632643185	1.613419152	0.9983397625	0.000000000
90	20	1.12455695960546	1.556737877	1.084621133	0.000000000
90	25	1.10056627590617	1.497451786	1.165119406	0.000000000
90	30	1.08058571015187	1.435814676	1.240292855	0.000000000
90	35	1.06448991429063	1.371979089	1.310566332	0.000000000
90	40	1.05217222260184	1.306010684	1.376323268	0.000000000
90	45	1.04354456832280	1.237897441	1.437897441	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	1.12197076477727	1.147770123	1.347770123	0.6477701231
40	45	1.12786802516783	1.075521284	1.385879557	0.6858795573
35	45	1.13604657746718	1.004078188	1.419898259	0.7198982591
30	45	1.14621591578856	0.9332288946	1.450374457	0.7503744567
25	45	1.15817407719012	0.8626771314	1.477763618	0.7777636182
20	45	1.17179529402280	0.7920624416	1.502434963	0.8024349635
15	45	1.18702177782701	0.7209721613	1.524679333	0.8246793331
10	45	1.20385593592418	0.6489459082	1.544714221	0.8447142212
5	45	1.22235505166572	0.5754752727	1.562686315	0.8626863148
0	45	1.24263084791149	0.5000000000	1.578672699	0.8786726991
-5	45	1.26484981446628	0.4219008548	1.592677315	0.8926773148
-10	45	1.28923343611609	0.3404908434	1.604621380	0.9046213798
-15	45	1.31606438972432	0.2550056805	1.614331248	0.9143312478
-20	45	1.34569067821803	0.1645952521	1.621516971	0.9215169712
-25	45	1.37853135328568	0.06831895431	1.625742990	0.9257429899
-30	45	1.41508164459957	-0.03485058807	1.626388393	0.9263883930
-35	45	1.45591273353908	-0.1460068335	1.622593372	0.9225933716
-40	45	1.50166434512835	-0.2662596795	1.613192726	0.9131927258
-45	45	1.55301977002788	-0.3966363823	1.596636382	0.8966363823

45	50	1.10258168213789	1.170502416	1.370502416	0.5626183302
40	50	1.10634518571364	1.098218768	1.412929366	0.5982187681
35	50	1.11278028181581	1.025993534	1.451196617	0.6303288040
30	50	1.12161593216223	0.9536731713	1.485784983	0.6593518892
25	50	1.13265617183604	0.8810192725	1.517098467	0.6856270220
20	50	1.14577329840747	0.8077242390	1.545465398	0.7094297038
15	50	1.16090268717813	0.7334214993	1.571140895	0.7309740036
10	50	1.17803930453208	0.6576908016	1.594308976	0.7504143319
5	50	1.19723333335373	0.5800592230	1.615081106	0.7678442188
0	50	1.21859002520205	0.5000000000	1.633494117	0.7832945695
-5	50	1.24227010537668	0.4169291594	1.649504053	0.7967285006
-10	50	1.26848817671969	0.3302018306	1.662973271	0.8080305165
-15	50	1.29751708966398	0.2391095845	1.673656286	0.8169946304
-20	50	1.32968857697630	0.1428810079	1.681176367	0.8233047275
-25	50	1.36539382981952	0.04068906644	1.684995476	0.8265093404
-30	50	1.40508206482643	-0.06833004777	1.684376518	0.8259899734
-35	50	1.44925016503345	-0.1850374939	1.678334931	0.8209204801
-40	50	1.49842705536698	-0.3102237879	1.665587110	0.8102237879
-45	50	1.55313505648450	-0.4444931155	1.644493116	0.7925238249

45	55	1.08685497333872	1.188726166	1.388726166	0.4822512529
40	55	1.08863473200976	1.116651679	1.434896853	0.5145803165
35	55	1.09338409914610	1.044005399	1.476920227	0.5440053995
30	55	1.10086981624035	0.9706604392	1.515207794	0.5708146425
25	55	1.11091930684110	0.8964103842	1.550104812	0.5952497978
20	55	1.12341844206183	0.8209812106	1.581888628	0.6175050654
15	55	1.13830903558393	0.7440394152	1.610767497	0.6377262667
10	55	1.15558878816312	0.6651973142	1.636880525	0.6560108058
5	55	1.17530772684624	0.5840147346	1.660292810	0.6724042648
0	55	1.19756818699709	0.5000000000	1.680990429	0.6868968930
-5	55	1.22252532169888	0.4126100016	1.698872253	0.6994178812
-10	55	1.25038396208754	0.3212512320	1.713734638	0.7098246356
-15	55	1.28140064807527	0.2252835082	1.725255905	0.7178919133
-20	55	1.31588116052742	0.1240286681	1.732972745	0.7232953026
-25	55	1.35417662848663	0.01678787626	1.736251743	0.7255912822
-30	55	1.39667633875710	-0.09712809759	1.734256204	0.7241939902
-35	55	1.44379000320537	-0.2183473384	1.725906319	0.7183473384
-40	55	1.49592703747383	-0.3473603602	1.709844753	0.7071009088
-45	55	1.55345387370402	-0.4844039509	1.684403951	0.6892870670

45	60	1.07421109074268	1.203236234	1.403236234	0.4060136288
40	60	1.07421991374508	1.131489719	1.452580141	0.4345023470
35	60	1.07741721347030	1.058654177	1.497840850	0.4606336294
30	60	1.08361634096633	0.9846079600	1.539365608	0.4846079600
25	60	1.09267813681885	0.9091572421	1.577440537	0.5065905304
20	60	1.10451363748340	0.8320461557	1.612289315	0.5267104816
15	60	1.11908138913254	0.7529623323	1.644068276	0.5450580735
10	60	1.13638997248659	0.6715423690	1.672865119	0.5616839381
5	60	1.15649524332956	0.5873742080	1.698691768	0.5765949609
0	60	1.17950029880017	0.5000000000	1.721477223	0.5897501494
-5	60	1.20555503883499	0.4089192823	1.741057367	0.6010547509
-10	60	1.23485248062871	0.3135943426	1.757159016	0.6103510424
-15	60	1.26762923903692	0.2134592248	1.769384731	0.6174095626
-20	60	1.30415862360850	0.1079352552	1.777189033	0.6219153784
-25	60	1.34474387879999	-0.003544162040	1.779853940	0.6234539631
-30	60	1.38970652628232	-0.1214956523	1.776462046	0.6214956523
-35	60	1.43936540035281	-0.2463287977	1.765867985	0.6153791680
-40	60	1.49401119077876	-0.3782677500	1.746678746	0.6043002560
-45	60	1.55386839862766	-0.5172456510	1.717245651	0.5873070504

45	65	1.06418829799666	1.214648132	1.414648132	0.3332458969
40	65	1.06267515765183	1.143265646	1.466614144	0.3574780463
35	65	1.06450573912909	1.070380605	1.514587924	0.3798485870
30	65	1.06954094026001	0.9958635978	1.558860945	0.4004934360
25	65	1.07767982131451	0.9195209474	1.599665575	0.4195209474
20	65	1.08886375523654	0.8411032445	1.637173462	0.4370111624
15	65	1.10307471146486	0.7603098261	1.671489497	0.4530129922
10	65	1.12033787508866	0.6767940303	1.702648770	0.4675427998
5	65	1.14071888044893	0.5901664885	1.730607679	0.4805802534
0	65	1.16432401337684	0.5000000000	1.755235920	0.4920645906
-5	65	1.19130011204045	0.4058353906	1.776306411	0.5018899218
-10	65	1.22182808605519	0.3071903874	1.793477650	0.5098970024
-15	65	1.25612213752110	0.2035731743	1.806279974	0.5158668240
-20	65	1.29441991318672	0.09450314141	1.814093463	0.5195103135
-25	65	1.33697378214415	-0.02045932066	1.816128615	0.5204593207
-30	65	1.38403595410336	-0.1416706663	1.811406196	0.5182572204
-35	65	1.43583713716125	-0.2693463966	1.798740523	0.5123511201
-40	65	1.49255858923641	-0.4034855645	1.776732167	0.5020884554
-45	65	1.55430222698502	-0.5437806782	1.743780678	0.4867229237

45	70	1.05642573641826	1.223430920	1.423430920	0.2633073213
40	70	1.05365888886685	1.152395124	1.477494233	0.2829847582
35	70	1.05434193509565	1.079536049	1.527663254	0.3012447883
30	70	1.05837911594030	1.004710268	1.574183827	0.3181768924
25	70	1.06570703210874	0.9277173031	1.617242717	0.3338490464
20	70	1.07629850205961	0.8483069609	1.656965510	0.3483069609
15	70	1.09016100481217	0.7661833971	1.693409962	0.3615716566
10	70	1.10733859770905	0.6810105069	1.726561597	0.3736378649
5	70	1.12790928670440	0.5924163975	1.756324257	0.3844705873
0	70	1.15198489024681	0.5000000000	1.782511701	0.3940020373
-5	70	1.17971031796082	0.4033392322	1.804837632	0.4021280117
-10	70	1.21125458610542	0.3020029221	1.822897228	0.4087011673
-15	70	1.24680968424518	0.1955678695	1.836156178	0.4135270304
-20	70	1.28657803084867	0.08364330804	1.843930610	0.4163566920
-25	70	1.33076276362178	-0.03409637283	1.845373368	0.4168818130
-30	70	1.37955100105519	-0.1578678140	1.839460478	0.4147296973
-35	70	1.43309393709456	-0.2877231957	1.824985312	0.4094611675
-40	70	1.49147844048246	-0.4234803339	1.800561006	0.4005714470
-45	70	1.55470564465573	-0.5646485556	1.764648556	0.3875003842

45	75	1.05064919881978	1.229934949	1.429934949	0.1955854801
40	75	1.04690507829634	1.159194267	1.485597136	0.2105001183
35	75	1.04668057126113	1.086392335	1.537455044	0.2243954028
30	75	1.04991598809008	1.011370479	1.585719651	0.2373278652
25	75	1.05658053617204	0.9339186686	1.630541588	0.2493378670
20	75	1.06667556609741	0.8537822852	1.672008840	0.2604489837
15	75	1.08023259807063	0.7706661121	1.710139682	0.2706661121
10	75	1.09731324876710	0.6842399017	1.744876405	0.2799737889
5	75	1.11800893259719	0.5941446363	1.776078117	0.2883342624
0	75	1.14243759511965	0.5000000000	1.803509978	0.2956846075
-5	75	1.17074292502971	0.4014147708	1.826834326	0.3019343477
-10	75	1.20308391752157	0.2980011059	1.845592656	0.3069606270
-15	75	1.23963230603352	0.1893942496	1.859196441	0.3106057504
-20	75	1.28055918419764	0.07527933620	1.866910433	0.3126727083
-25	75	1.32602430982310	-0.04457439197	1.867843552	0.3129227367
-30	75	1.37615888092812	-0.1702698443	1.860941425	0.3110733173
-35	75	1.43104781715075	-0.3017302450	1.844989451	0.3067989988
-40	75	1.49070265310541	-0.4386358552	1.818622653	0.2997340364
-45	75	1.55504605342165	-0.5803629439	1.780362944	0.2894823783

45	80	1.04665850699169	1.234412897	1.434412897	0.1294968087
40	80	1.04221661694022	1.163894900	1.491199132	0.1395097541
35	80	1.04133715538641	1.091151830	1.544252307	0.1488644603
30	80	1.04398727294162	1.016012018	1.593759032	0.1575938316
25	80	1.05016121520493	0.9382564633	1.639844018	0.1657198581
20	80	1.05988281596242	0.8576253490	1.682567571	0.1732531731
15	80	1.07320291934512	0.7738221633	1.721918226	0.1801917553
10	80	1.09019799989349	0.6865196534	1.757805519	0.1865196534
5	80	1.11097061632129	0.5953673650	1.790053970	0.1922059254
0	80	1.13564436448338	0.5000000000	1.818391375	0.1972025744
-5	80	1.16436256975524	0.4000493905	1.842440694	0.2014431182
-10	80	1.19727618987445	0.2951605672	1.861702151	0.2048394328
-15	80	1.23454101149216	0.1850132585	1.875546523	0.2072805691
-20	80	1.27630333908072	0.06935010160	1.883200872	0.2086302373
-25	80	1.32268912872368	-0.05198863865	1.883743456	0.2087259095
-30	80	1.37378678390006	-0.1790221575	1.876100876	0.2073783165
-35	80	1.42963158002633	-0.3115808792	1.859057615	0.2043731297
-40	80	1.49018058708972	-0.4492492020	1.831271147	0.1994736257
-45	80	1.55530131742315	-0.5913142527	1.791314253	0.1924281472

45	85	1.04431667859123	1.237034388	1.437034388	0.06448215355
40	85	1.03945667219737	1.166654339	1.494487703	0.06950866736
35	85	1.03818203751038	1.093953408	1.548253376	0.07421255416
30	85	1.04047639156932	1.018751329	1.598503658	0.07860888422
25	85	1.04634965424686	0.9408228799	1.645347717	0.08270720829
20	85	1.05583996946126	0.8599043096	1.688828964	0.08651132450
15	85	1.06901064764318	0.7756976153	1.728917508	0.09001861765
10	85	1.08594800932041	0.6878768340	1.765502473	0.09321938735
5	85	1.10676200011044	0.5960963747	1.798386589	0.09609637469
0	85	1.13158009470122	0.5000000000	1.827274091	0.09862370363
-5	85	1.16054547420949	0.3992337894	1.851763057	0.1007662106
-10	85	1.19380413399675	0.2934632789	1.871327951	0.1024779170
-15	85	1.23150162715064	0.1823959961	1.885314279	0.1037015621
-20	85	1.27376838369974	0.06581040308	1.892926113	0.1043675113
-25	85	1.32070891874313	-0.05640932900	1.893223657	0.1043935430
-30	85	1.37238483299749	-0.1842312441	1.885123279	0.1036848518
-35	85	1.42880078474404	-0.3174299541	1.867410960	0.1021352246
-40	85	1.48988102151592	-0.4555334763	1.838760453	0.09962863013
-45	85	1.55545988947165	-0.5977775713	1.797777571	0.09604309256

45	90	1.04354456892730	1.237897441	1.437897441	0.000000000
40	90	1.03854525725327	1.167564023	1.495571823	0.000000000
35	90	1.03713849645496	1.094878203	1.549574120	0.000000000
30	90	1.03931345238585	1.019656726	1.600071852	0.000000000
25	90	1.04508537480984	0.9416721645	1.647169013	0.000000000
20	90	1.05449731409823	0.8606593225	1.690903345	0.000000000
15	90	1.06761688424526	0.7763195825	1.731238721	0.000000000
10	90	1.08453384542393	0.6883273259	1.768057339	0.000000000
5	90	1.10536073261280	0.5963385357	1.801154501	0.000000000
0	90	1.13022640858108	0.5000000000	1.830226409	0.000000000
-5	90	1.15927408212566	0.3989626063	1.854862694	0.000000000
-10	90	1.19264799375365	0.2928988493	1.874528991	0.000000000
-15	90	1.23049017388157	0.1815257082	1.888562238	0.000000000
-20	90	1.27292558973453	0.06463380736	1.896158783	0.000000000
-25	90	1.32005141380946	-0.05787783391	1.896372876	0.000000000
-30	90	1.37192012651911	-0.1859600633	1.888117682	0.000000000
-35	90	1.42852604601589	-0.3193688787	1.870180031	0.000000000
-40	90	1.48978241437344	-0.4576136771	1.841239540	0.000000000
-45	90	1.55551273306853	-0.5999136018	1.799913602	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	1.55551272279858	-0.5999135945	1.799913595	1.347005663e-16
-90	40	1.62543458555555	-0.7451551319	1.744809212	1.524875247e-16
-90	35	1.69914402202903	-0.8918572992	1.674588973	1.704533586e-16
-90	30	1.77611388732136	-1.038159746	1.588056944	1.883702410e-16
-90	25	1.85570052783311	-1.181835839	1.484252931	2.059654877e-16
-90	20	1.93714599598027	-1.320321798	1.362542951	2.229251263e-16
-90	15	2.01959812296929	-1.450781986	1.222710458	2.389018915e-16
-90	10	2.10212061349001	-1.570184678	1.065029414	2.535245039e-16
-90	5	2.18372894204387	-1.675419194	0.8903245179	2.664120153e-16
-90	-2.84217e-14	2.26341273247527	-1.763412732	0.7000000000	2.771881158e-16
-90	-5	2.34015257586456	-1.831247589	0.4960422641	2.854954898e-16
-90	-10	2.41295597430866	-1.876297751	0.2809945923	2.910125435e-16
-90	-15	2.48086096154550	-1.896327674	0.05790593490	2.934655016e-16
-90	-20	2.54295888457141	-1.889599699	-0.1697431622	2.926415622e-16
-90	-25	2.59841906705477	-1.854967434	-0.3981393494	2.884003331e-16
-90	-30	2.64650035018580	-1.791936534	-0.6232501751	2.806812741e-16
-90	-35	2.68656068541246	-1.700701678	-0.8409479040	2.695082265e-16
-90	-40	2.71805891390122	-1.582153927	-1.047134592	2.549903142e-16
-90	-45	2.74056810580483	-1.437874292	-1.237874292	2.373211549e-16

-85	45	1.55545987436907	-0.5977775606	1.797777561	0.09604309163
-85	40	1.62519298533973	-0.7421834186	1.742315648	0.1086769671
-85	35	1.69864133010283	-0.8878859295	1.671808190	0.1214242851
-85	30	1.77527790516529	-1.033041696	1.585102036	0.1341237691
-85	25	1.85446379927063	-1.175456298	1.481278103	0.1465834323
-85	20	1.93545286271998	-1.312615457	1.359738073	0.1585833038
-85	15	2.01741051445953	-1.441747731	1.220289736	0.1698809139
-85	10	2.09942323922841	-1.559896638	1.063215355	0.1802176038
-85	5	2.18053386828547	-1.664032698	0.8893283286	0.1893283286
-85	-2.84217e-14	2.25975868565871	-1.751159622	0.7000000000	0.1969509467
-85	-5	2.33610603845205	-1.818427577	0.4971638698	0.2028361302
-85	-10	2.40860675171796	-1.863259040	0.2832936688	0.2067583750
-85	-15	2.47631917933832	-1.883445071	0.06135781805	0.2085244238
-85	-20	2.53834906505238	-1.877247640	-0.1652473805	0.2079822189
-85	-25	2.59387113995502	-1.843490199	-0.3927874265	0.2050288255
-85	-30	2.64214118994728	-1.781621711	-0.6172949088	0.1996160341
-85	-35	2.68250589063064	-1.691758858	-0.8346860741	0.1917540532
-85	-40	2.71440524810717	-1.574700802	-1.040880678	0.1815128004
-85	-45	2.73738901078493	-1.431932980	-1.231932980	0.1690222345

-80	45	1.55530128540168	-0.5913142302	1.791314230	0.1924281432
-80	40	1.62446679016151	-0.7332145677	1.734789889	0.2174490013
-80	35	1.69713331004556	-0.8759316135	1.663437688	0.2426138671
-80	30	1.77277519240657	-1.017675437	1.576230322	0.2676071274
-80	25	1.85076881286798	-1.156349495	1.472368454	0.2920591054
-80	20	1.93040348528140	-1.289586391	1.351356178	0.3155523650
-80	15	2.01089494562992	-1.414801160	1.213069425	0.3376311072
-80	10	2.09139821512691	-1.529257598	1.057812865	0.3578128654
-80	5	2.17103399322571	-1.630159150	0.8863647772	0.3756045314
-80	-2.84217e-14	2.24889653210360	-1.714730741	0.7000000000	0.3905167846
-80	-5	2.32407516732796	-1.780318963	0.5004979415	0.4020817578
-80	-10	2.39566988206730	-1.824488601	0.2901299433	0.4098700567
-80	-15	2.46279677044969	-1.845108144	0.07163016667	0.4135058385
-80	-20	2.52460419834168	-1.840441959	-0.1518512083	0.4126830642
-80	-25	2.58028546613875	-1.809231979	-0.3768125562	0.4071799026
-80	-30	2.62909023799171	-1.750768000	-0.5994815109	0.3968711258
-80	-35	2.67033510796695	-1.664943951	-0.8159100744	0.3817380303
-80	-40	2.70341198244653	-1.552296212	-1.022080994	0.3618751945
-80	-45	2.72779857744968	-1.414024911	-1.214024911	0.3374942336

-75	45	1.55504598599485	-0.5803628970	1.780362897	0.2894823658
-75	40	1.62326172857580	-0.7180949278	1.722103005	0.3263875522
-75	35	1.69462948722267	-0.8558826361	1.649399243	0.3633076574
-75	30	1.76862888532144	-0.9920330546	1.561425686	0.3997890520
-75	25	1.84466518940587	-1.124616028	1.457570896	0.4353145528
-75	20	1.92208835189933	-1.251504327	1.337495440	0.4693141699
-75	15	2.00019382550730	-1.370407502	1.201174180	0.5011741796
-75	10	2.07824600092855	-1.478933739	1.048939411	0.5302536973
-75	5	2.15548191884165	-1.574640780	0.8815075492	0.5558983217
-75	-2.84217e-14	2.23112244578459	-1.655098792	0.7000000000	0.5774569809
-75	-5	2.30438126453513	-1.717955671	0.5059540226	0.5942994308
-75	-10	2.37446774538531	-1.761000061	0.3013246859	0.6058331403
-75	-15	2.44059179147062	-1.782229421	0.08847846978	0.6115215302
-75	-20	2.50197028422332	-1.779922135	-0.1298237934	0.6109032948
-75	-25	2.55783288906226	-1.752710320	-0.3504560739	0.6036119110
-75	-30	2.60742882789622	-1.699653093	-0.5699703056	0.5893952700
-75	-35	2.65004074081691	-1.620312583	-0.7846588541	0.5681360443
-75	-40	2.68498709213169	-1.514813200	-0.9906290132	0.5398675699
-75	-45	2.71164067068211	-1.383903111	-1.183903111	0.5047903172

-70	45	1.55470552938745	-0.5646484766	1.764648477	0.3875003555
-70	40	1.62158422639716	-0.6965659834	1.704038075	0.4355144013
-70	35	1.69114521484395	-0.8275567481	1.629565242	0.4831911406
-70	30	1.76288078315124	-0.9560773608	1.540666656	0.5299688181
-70	25	1.83624252237496	-1.080434424	1.436968675	0.5752310876
-70	20	1.91066168450349	-1.198819918	1.318319884	0.6183198837
-70	15	1.98554438016640	-1.309328676	1.184808158	0.6585417820
-70	10	2.06029156864514	-1.409999531	1.036784451	0.6951829769
-70	5	2.13428725930737	-1.498830429	0.8748750029	0.7275147795
-70	-2.84217e-14	2.20691449965065	-1.573821270	0.7000000000	0.7548092135
-70	-5	2.27754028446074	-1.632991613	0.5133874145	0.7763454571
-70	-10	2.34551758518192	-1.674419173	0.3165912324	0.7914238558
-70	-15	2.41018085000431	-1.696278950	0.1115088291	0.7993801639
-70	-20	2.47084353310649	-1.696892440	-0.09960345593	0.7996034559
-70	-25	2.52679485267743	-1.674785476	-0.3141191222	0.7915571791
-70	-30	2.57730341686095	-1.628761736	-0.5290411616	0.7748059079
-70	-35	2.62162102129011	-1.557984523	-0.7410162763	0.7490451088
-70	-40	2.65899021107806	-1.462067209	-0.9463698712	0.7141340616
-70	-45	2.68866483347016	-1.341173692	-1.141173692	0.6701324199

-65	45	1.55430198499028	-0.5437805157	1.743780516	0.4867228479
-65	40	1.61944886992495	-0.6682708499	1.680295639	0.5447736441
-65	35	1.68670640654250	-0.7907123175	1.603766494	0.6018690381
-65	30	1.75559196921427	-0.9097724744	1.513932518	0.6573877011
-65	25	1.82562379208819	-1.024062014	1.410681788	0.7106817885
-65	20	1.89633554144204	-1.132155847	1.294056146	0.7610867707
-65	15	1.96726722895778	-1.232592934	1.164246877	0.8079213534
-65	10	2.03796860505145	-1.323884348	1.021600020	0.8504912390
-65	5	2.10799643481129	-1.404515960	0.8666235560	0.8880903772
-65	-2.84217e-14	2.17690481734403	-1.472945788	0.7000000000	0.9199997299
-65	-5	2.24423857086165	-1.527606928	0.5226073797	0.9454886384
-65	-10	2.30951562372046	-1.566905931	0.3355487177	0.9638140644
-65	-15	2.37221597802478	-1.589235555	0.1401910203	0.9742265389
-65	-20	2.43177627395579	-1.593003995	-0.06179115435	0.9759837914
-65	-25	2.48757692342638	-1.576671827	-0.2683679762	0.9683679762
-65	-30	2.53893435481894	-1.538810743	-0.4771079315	0.9507130632
-65	-35	2.58509779181681	-1.478185148	-0.6851401523	0.9224428836
-65	-40	2.62525400095679	-1.393858942	-0.8891363394	0.8831209280
-65	-45	2.65853494688504	-1.285320359	-1.085320359	0.8325085557

-60	45	1.55386807806156	-0.5172454411	1.717245441	0.5873069293
-60	40	1.61688306556475	-0.6327606851	1.650499073	0.6539996865
-60	35	1.68135485794191	-0.7450641885	1.571803330	0.7188381444
-60	30	1.74684855792610	-0.8531030746	1.481214424	0.7812144244
-60	25	1.81297317285766	-0.9558506309	1.378874298	0.8405357536
-60	20	1.87937761117092	-1.052299633	1.264990861	0.8962206107
-60	15	1.94574859463487	-1.141453017	1.139826010	0.9476933410
-60	10	2.01179860774851	-1.222303732	1.003688617	0.9943725235
-60	5	2.07725297106818	-1.293812342	0.8569382445	1.035658039
-60	-2.84217e-14	2.14184438146971	-1.354891645	0.7000000000	1.070922191
-60	-5	2.20529500277373	-1.404383072	0.5333880702	1.099496079
-60	-10	2.26729541662150	-1.441034924	0.3577431723	1.120657036
-60	-15	2.32748899070421	-1.463493041	0.1738836253	1.133623236
-60	-20	2.38545887625083	-1.470304911	-0.01713234008	1.137556071
-60	-25	2.44070745085663	-1.459932742	-0.2139316471	1.131567696
-60	-30	2.49263917032499	-1.430789999	-0.4147421256	1.114742126
-60	-35	2.54054641836564	-1.381306227	-0.6173048022	1.086172657
-60	-40	2.58359973200294	-1.310025886	-0.8187920530	1.045018932
-60	-45	2.62084611293180	-1.215746528	-1.015746528	0.9905867199

-55	45	1.55345348259877	-0.4844037030	1.684403703	0.6892868935
-55	40	1.61393004711931	-0.5895042002	1.614202573	0.7628790539
-55	35	1.67515458817996	-0.6903058438	1.533461125	0.8334611246
-55	30	1.73676788753846	-0.7860982263	1.442529157	0.9005356729
-55	25	1.79849108477216	-0.8762529074	1.341757270	0.9636626603
-55	20	1.86010327339742	-0.9601895988	1.231465550	1.022435764
-55	15	1.92143597365422	-1.037351789	1.111932170	1.076465311
-55	10	1.98236130867194	-1.107176984	0.9833886650	1.125357439
-55	5	2.04276928374712	-1.169057909	0.8460236458	1.168686929
-55	-2.84217e-14	2.10255577165780	-1.222312859	0.7000000000	1.205976447
-55	-5	2.16160944514441	-1.266157034	0.5454812815	1.236676469
-55	-10	2.21978881709229	-1.299668648	0.3826698611	1.260141553
-55	-15	2.27690606952215	-1.321765422	0.2118594262	1.275613882
-55	-20	2.33270646865622	-1.331185274	0.03350306680	1.282209733
-55	-25	2.38684260809102	-1.326475042	-0.1516992994	1.278911593
-55	-30	2.43885075726390	-1.305999325	-0.3426941966	1.264574342
-55	-35	2.48812409067972	-1.267973336	-0.5379482571	1.237948257
-55	-40	2.53388197388251	-1.210529560	-0.7353047230	1.197725692
-55	-45	2.57515405731197	-1.131842355	-0.9318423553	1.142628318

-50	45	1.55313457103361	-0.4444928203	1.644492820	0.7925235772
-50	40	1.61065657131130	-0.5379078638	1.570908106	0.8709081057
-50	35	1.66819557760371	-0.6261368433	1.488529507	0.9449410099
-50	30	1.72550230449707	-0.7088574704	1.397934186	1.014351858
-50	25	1.78241888626838	-0.7858374635	1.299595856	1.078945741
-50	20	1.83886522341128	-0.8568974948	1.193870299	1.138572187
-50	15	1.89481419071761	-0.9218677827	1.080988324	1.193088732
-50	10	1.95027782778458	-0.9805541380	0.9610616409	1.242332431
-50	5	2.00529035065388	-1.032703159	0.8340941510	1.286090656
-50	-2.84217e-14	2.05989284037112	-1.077969464	0.7000000000	1.324073595
-50	-5	2.11411974106267	-1.115884705	0.5586284068	1.355888260
-50	-10	2.16798180869289	-1.145824196	0.4097967887	1.381010476
-50	-15	2.22144968090206	-1.166974919	0.2533354166	1.398758040
-50	-20	2.27443358291634	-1.178303114	0.08914762240	1.408263524
-50	-25	2.32675716375594	-1.178523243	-0.08270824264	1.408448234
-50	-30	2.37812774006579	-1.166075714	-0.2619092621	1.398003517
-50	-35	2.42809968353260	-1.139119867	-0.4477240867	1.375384876
-50	-40	2.47602880872870	-1.095554147	-0.6388288961	1.338828896
-50	-45	2.52102427085736	-1.033086294	-0.8330862941	1.286412144

-45	45	1.55301944121701	-0.3966361924	1.596636192	0.8966361924
-45	40	1.60716240743898	-0.4773482500	1.520092556	0.9773482500
-45	35	1.66060710045180	-0.5523055870	1.436832305	1.052305587
-45	30	1.71323715430809	-0.6215769919	1.347542778	1.121576992
-45	25	1.76503482679844	-0.6852966666	1.252712913	1.185296667
-45	20	1.81605036792387	-0.7436150906	1.152638876	1.243615091
-45	15	1.86638555497994	-0.7966650011	1.047440340	1.296665001
-45	10	1.91617289914741	-0.8445284023	0.9370766337	1.344528402
-45	5	1.96556200184982	-0.8872102362	0.8213651696	1.387210236
-45	-2.84217e-14	2.01470824249660	-0.9246138604	0.7000000000	1.424613860
-45	-5	2.06376497295719	-0.9565177251	0.5725712108	1.456517725
-45	-10	2.11286911911040	-0.9825449949	0.4385873173	1.482544995
-45	-15	2.16213127994479	-1.002133335	0.2975045859	1.502133335
-45	-20	2.21161688895555	-1.014495515	0.1487687125	1.514495515
-45	-25	2.26132686815094	-1.018578080	-0.008124588354	1.518578080
-45	-30	2.31116649904789	-1.013013632	-0.1735388278	1.513013632
-45	-35	2.36090289210167	-0.9960741184	-0.3475623754	1.496074118
-45	-40	2.41010976232842	-0.9656369185	-0.5298153978	1.465636919
-45	-45	2.45809445633064	-0.9191814961	-0.7191814961	1.419181496


### -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	2.74056811935898	-1.437874302	-1.237874302	2.373211560e-16
-40	-90	2.75378321925098	-1.270097733	-1.409520333	2.583417323e-16
-35	-90	2.75752411183207	-1.081650853	-1.558831513	2.766270783e-16
-30	-90	2.75174290361925	-0.8758714518	-1.683079259	2.918430387e-16
-25	-90	2.73651986667814	-0.6565032693	-1.780129265	3.037282365e-16
-20	-90	2.71205800784117	-0.4275784685	-1.848500897	3.121013466e-16
-15	-90	2.67869675644034	-0.1932977366	-1.887422378	3.168678533e-16
-10	-90	2.63688390288798	0.04210991554	-1.896823711	3.180191846e-16
-5	-90	2.58717579713030	0.2745127718	-1.877330812	3.156319929e-16
-2.84217e-14	-90	2.53023388140342	0.5000000000	-1.830233881	3.098642824e-16
5	-90	2.46681781558543	0.7149973389	-1.757430829	3.009484799e-16
10	-90	2.39778185336815	0.9163704493	-1.661354159	2.891824813e-16
15	-90	2.32404266942510	1.101506504	-1.544852836	2.749151840e-16
20	-90	2.24657379045585	1.268373490	-1.411088813	2.585338157e-16
25	-90	2.16637943042652	1.415551509	-1.263406547	2.404479544e-16
30	-90	2.08447564800173	1.542237824	-1.105208865	2.210743258e-16
35	-90	2.00187620539572	1.648229020	-0.9398409861	2.008226015e-16
40	-90	1.91955679697139	1.733867325	-0.7704658176	1.800801257e-16
45	-90	1.83843101313152	1.799967036	-0.5999670361	1.592000470e-16

-45	-85	2.73738903179787	-1.431932995	-1.231932995	0.1690222358
-40	-85	2.75001021483688	-1.263715882	-1.401914739	0.1838937114
-35	-85	2.75319877319251	-1.075130117	-1.549518936	0.1968074053
-30	-85	2.74693730321767	-0.8695432091	-1.672118421	0.2075334704
-25	-85	2.73133123961034	-0.6506988109	-1.767681563	0.2158941620
-20	-85	2.70660530213881	-0.4226009063	-1.834825157	0.2217684653
-15	-85	2.67311248197365	-0.1893951322	-1.872857660	0.2250958781
-10	-85	2.63130906506980	0.04476456314	-1.881768457	0.2258754718
-5	-85	2.58175083572678	0.2758353687	-1.862213460	0.2241646313
-2.84217e-14	-85	2.52508938986107	0.5000000000	-1.815480662	0.2200760413
5	-85	2.46206675089565	0.7137728698	-1.743435083	0.2137728698
10	-85	2.39351229571625	0.9140948815	-1.648448773	0.2054626445
15	-85	2.32031729877167	1.098409331	-1.533294026	0.1953879096
20	-85	2.24342418487690	1.264716298	-1.401040760	0.1838172481
25	-85	2.16380769755046	1.411603437	-1.254939879	0.1710350772
30	-85	2.08245677387515	1.538252504	-1.098306088	0.1573313962
35	-85	2.00036247491375	1.644425607	-0.9344091502	0.1429922722
40	-85	1.91848238758020	1.730416469	-0.7663532468	0.1282892858
45	-85	1.83772014149356	1.796984877	-0.5969848772	0.1134714735

-45	-80	2.72779861856046	-1.414024940	-1.214024940	0.3374942387
-40	-80	2.73865771358611	-1.244532623	-1.379053021	0.3665931420
-35	-80	2.74021698832832	-1.055580993	-1.521599894	0.3917280017
-30	-80	2.73254676076126	-0.8506170089	-1.639337281	0.4124882796
-25	-80	2.71582577322075	-0.6333766482	-1.730534066	0.4285687333
-20	-80	2.69034153248971	-0.4077742510	-1.794089256	0.4397752282
-15	-80	2.65648371807547	-0.1777880543	-1.829539455	0.4460260548
-10	-80	2.61472826418186	0.05265171132	-1.837038217	0.4473482887
-5	-80	2.56562673787329	0.2797627965	-1.817322754	0.4438719208
-2.84217e-14	-80	2.50980146115198	0.5000000000	-1.771671937	0.4358224500
5	-80	2.44794331348155	0.7101350838	-1.701854999	0.4235118400
10	-80	2.38081203703257	0.9073280597	-1.610072219	0.4073280597
15	-80	2.30922178149192	1.089185971	-1.498871978	0.3877204568
20	-80	2.23402996489525	1.253805736	-1.371064237	0.3651845038
25	-80	2.15612287037861	1.399799735	-1.229626760	0.3402452604
30	-80	2.07641144165485	1.526308735	-1.077618874	0.3134421689
35	-80	1.99581820166298	1.632996720	-0.9180870073	0.2853123965
40	-80	1.91524814324318	1.720018424	-0.7539613400	0.2563726131
45	-80	1.83557410394395	1.787974336	-0.5879743359	0.2271046259

-45	-75	2.71164072478238	-1.383903148	-1.183903148	0.5047903273
-40	-75	2.71963006140042	-1.212442306	-1.340809270	0.5468331958
-35	-75	2.71856718403369	-1.023050109	-1.475140978	0.5828272684
-30	-75	2.70865479529205	-0.8192732708	-1.585048334	0.6122768558
-25	-75	2.69018933342431	-0.6048124908	-1.669278032	0.6348461354
-20	-75	2.66354850115496	-0.3834141377	-1.727160395	0.6503556678
-15	-75	2.62917292097913	-0.1587729474	-1.758574110	0.6587729474
-10	-75	2.58755786814986	0.06554665872	-1.763907336	0.6602019809
-5	-75	2.53924006110203	0.2861771717	-1.744006111	0.6548694638
-2.84217e-14	-75	2.48479277635593	0.5000000000	-1.700125516	0.6431116937
5	-75	2.42482675126009	0.7041883799	-1.633883861	0.6253622959
10	-75	2.35999982349142	0.8962461367	-1.547223511	0.6021417250
15	-75	2.29100035028914	1.074039479	-1.442344500	0.5740394788
20	-75	2.21855566046225	1.235824197	-1.321660365	0.5417022621
25	-75	2.14341848604588	1.380263514	-1.187731198	0.5058160500
30	-75	2.06637607018963	1.506445975	-1.043215564	0.4670932026
35	-75	1.98824036460311	1.613891804	-0.8908023595	0.4262542076
40	-75	1.90982996011955	1.702543562	-0.7331356099	0.3840075293
45	-75	1.83196240851809	1.772749637	-0.5727496374	0.3410322375

-45	-70	2.68866496525178	-1.341173782	-1.141173782	0.6701324528
-40	-70	2.69278245117441	-1.167293049	-1.287002482	0.7232097587
-35	-70	2.68824239123742	-0.9776357868	-1.410282604	0.7680800536
-30	-70	2.67541710684148	-0.7758287314	-1.509800185	0.8043014908
-25	-70	2.65474545496204	-0.5654715905	-1.584911199	0.8316396645
-20	-70	2.62669745181012	-0.3500402118	-1.635466288	0.8500402118
-15	-70	2.59176844800253	-0.1328292123	-1.661750773	0.8596069820
-10	-70	2.55046233492452	0.08309004940	-1.664413823	0.8605762531
-5	-70	2.50328354919139	0.2948909099	-1.644407628	0.8532945935
-2.84217e-14	-70	2.45073645267962	0.5000000000	-1.602938960	0.8382012328
5	-70	2.39333021196027	0.6960999513	-1.541432700	0.8158147850
10	-70	2.33158706346203	0.8811316223	-1.461504841	0.7867234232
15	-70	2.26604834730322	1.053298498	-1.364938108	0.7515760069
20	-70	2.19727509341189	1.211072447	-1.253655493	0.7110724474
25	-70	2.12585700867933	1.353204304	-1.129702534	0.6659572601
30	-70	2.05242069341692	1.478739832	-0.9952271163	0.6170122107
35	-70	1.97763144933195	1.587037022	-0.8524497558	0.5650455013
40	-70	1.90219048637207	1.677781360	-0.7036251667	0.5108777807
45	-70	1.82683223225123	1.750998415	-0.5509984151	0.4553261862

-45	-65	2.65853501974770	-1.285320408	-1.085320408	0.8325085785
-40	-65	2.65793842973934	-1.108921097	-1.217437497	0.8941157890
-35	-65	2.64926638934969	-0.9195227978	-1.327288654	0.9453402248
-30	-65	2.63308325062545	-0.7207575090	-1.414414029	0.9859674544
-25	-65	2.60995716937268	-0.5160083567	-1.478836952	1.016008357
-20	-65	2.58044493137117	-0.3083638878	-1.520961528	1.035651369
-15	-65	2.54507562858413	-0.1006013804	-1.541474867	1.045216896
-10	-65	2.50433780435095	0.1048049580	-1.541262457	1.045117848
-5	-65	2.45868266223470	0.3056569539	-1.521351181	1.035833067
-2.84217e-14	-65	2.40852639059707	0.5000000000	-1.482866223	1.017887237
5	-65	2.35425899665935	0.6860890271	-1.427007313	0.9918397991
10	-65	2.29625822544948	0.8623592090	-1.355041194	0.9582814467
15	-65	2.23490010590337	1.027404401	-1.268300022	0.9178333740
20	-65	2.17056881799966	1.179963919	-1.168185514	0.8711492118
25	-65	2.10366919991057	1.318919755	-1.056179083	0.8189197554
30	-65	2.03464814934940	1.443309334	-0.9338596931	0.7618812873
35	-65	1.96400148876658	1.552346000	-0.8029058426	0.7008165039
40	-65	1.89228582635543	1.645451134	-0.6650955036	0.6365544874
45	-65	1.82011489537491	1.722285297	-0.5222852975	0.5699609947

-45	-60	2.62084629867834	-1.215746650	-1.015746650	0.9905867901
-40	-60	2.61491704187808	-1.037202212	-1.131966258	1.057686212
-35	-60	2.60172526025559	-0.8490267899	-1.226609921	1.112328756
-30	-60	2.58200482320194	-0.6547076606	-1.300012336	1.154707661
-25	-60	2.55643447874916	-0.4572660472	-1.352863663	1.185221388
-20	-60	2.52561585301095	-0.2592672525	-1.386069631	1.204392863
-15	-60	2.49007367260122	-0.06286776800	-1.400651108	1.212811483
-10	-60	2.45025408428802	0.1301248687	-1.397666108	1.211088092
-5	-60	2.40653100859051	0.3181845173	-1.378160477	1.199826511
-2.84217e-14	-60	2.35921596076105	0.5000000000	-1.343140955	1.179607980
5	-60	2.30857231313541	0.6744146192	-1.293568220	1.150987149
10	-60	2.25483227792294	0.8403754697	-1.230365213	1.114496875
15	-60	2.19820806811568	0.9968931171	-1.154430359	1.070655867
20	-60	2.13890780025105	1.143012534	-1.066662417	1.019983022
25	-60	2.07715431754219	1.277797874	-0.9679929239	0.9630161636
30	-60	2.01320820181404	1.400334078	-0.8594243676	0.9003340784
35	-60	1.94738411895896	1.509742799	-0.7420621658	0.8325749796
40	-60	1.88006846762858	1.605214950	-0.6171438868	0.7604533776
45	-60	1.81172951738808	1.686055379	-0.4860553789	0.6847693923

-45	-55	2.57515394032625	-1.131842281	-0.9318422812	1.142628266
-40	-55	2.56356515024716	-0.9521186092	-1.030567569	1.211756457
-35	-55	2.54578284867646	-0.7666359577	-1.108943618	1.266635958
-30	-55	2.52266264254512	-0.5785267158	-1.168063069	1.308031843
-25	-55	2.49492806832999	-0.3902675361	-1.209184892	1.336825653
-20	-55	2.46317460784790	-0.2037740685	-1.233603362	1.353923650
-15	-55	2.42787841215686	-0.02050718164	-1.242559248	1.360194629
-10	-55	2.38940787278397	0.1584219515	-1.237185376	1.356431803
-5	-55	2.34803800337541	0.3321547752	-1.218479698	1.343333947
-2.84217e-14	-55	2.30396590620471	0.5000000000	-1.187298382	1.321500554
5	-55	2.25732816639373	0.6613609972	-1.144364637	1.291438022
10	-55	2.20822249715764	0.8156766744	-1.090291385	1.253575523
15	-55	2.15671191814851	0.9623724304	-1.025597402	1.208276309
20	-55	2.10284516722833	1.100821352	-0.9507430985	1.155862761
25	-55	2.04668168816890	1.230319357	-0.8661749162	1.096647482
30	-55	1.98830430710729	1.350069795	-0.7723640741	1.030960424
35	-55	1.92784399665875	1.459184924	-0.6698580366	0.9591849235
40	-55	1.86550574310520	1.556706363	-0.5593336039	0.8817948826
45	-55	1.80159267502627	1.641646352	-0.4416463515	0.7993893813

-45	-50	2.52102430077762	-1.033086312	-0.8330863123	1.286412159
-40	-50	2.50381385454112	-0.8538527206	-0.9134588436	1.353852721
-35	-50	2.48173393609950	-0.6730761446	-0.9753263576	1.405765729
-30	-50	2.45567200801731	-0.4932745030	-1.020401905	1.443588604
-25	-50	2.42632128677924	-0.3162010630	-1.050348828	1.468717056
-20	-50	2.39420413554491	-0.1430195630	-1.066681730	1.482421988
-15	-50	2.35969915419264	0.02553773842	-1.070717266	1.485808205
-10	-50	2.32306565450509	0.1890374678	-1.063556155	1.479799319
-5	-50	2.28446527673585	0.3472373681	-1.046084873	1.465139173
-2.84217e-14	-50	2.24398013746674	0.5000000000	-1.018988515	1.442402629
5	-50	2.20163047592569	0.6472234529	-0.9827717667	1.412013169
10	-50	2.15739371056494	0.7887859023	-0.9377862375	1.374265828
15	-50	2.11121159028807	0.9244991248	-0.8842523016	1.329345522
20	-50	2.06300475251780	1.054068216	-0.8222899128	1.277352904
25	-50	2.01269040989878	1.177057923	-0.7519554025	1.218335243
30	-50	1.96019742466397	1.292864078	-0.6732808668	1.152319469
35	-50	1.90549055126986	1.400695065	-0.5863258620	1.079355556
40	-50	1.84859408810060	1.499564776	-0.4912349132	0.9995647763
45	-50	1.78962693334841	1.588308651	-0.3883086509	0.9131993876

-45	-45	2.45809413708516	-0.9191813117	-0.7191813117	1.419181312
-40	-45	2.43573290698564	-0.7428902122	-0.7812188756	1.481218876
-35	-45	2.41003624278445	-0.5693634625	-0.8272092975	1.527209297
-30	-45	2.38181043655162	-0.4002397265	-0.8592609452	1.559260945
-25	-45	2.35162837901668	-0.2364021103	-0.8792194219	1.579219422
-20	-45	2.31987612938560	-0.07821420697	-0.8886304773	1.588630477
-15	-45	2.28679436823787	0.07429770583	-0.8887425908	1.588742591
-10	-45	2.25251258296339	0.2213100651	-0.8805291609	1.580529161
-5	-45	2.21707476954946	0.3631049770	-0.8647172726	1.564717273
-2.84217e-14	-45	2.18045596847269	0.5000000000	-0.8418152014	1.541815201
5	-45	2.14257759629080	0.6322951365	-0.8121403296	1.512140330
10	-45	2.10332247915680	0.7602315339	-0.7758463674	1.475846367
15	-45	2.06254008107748	0.8839558364	-0.7329426893	1.432942689
20	-45	2.02005564560077	1.003485879	-0.6833160847	1.383316085
25	-45	1.97567929131749	1.118675303	-0.6267534684	1.326753468
30	-45	1.92921917074696	1.229176307	-0.5629704117	1.262970412
35	-45	1.88049723994036	1.334400331	-0.4916471702	1.191647170
40	-45	1.82937534766746	1.433481954	-0.4124804726	1.112480473
45	-45	1.77578515556210	1.525250038	-0.3252500376	1.025250038