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# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.45808719009766	-0.9191773009	-0.7191773009	1.419177301
-40	-45	2.43572361103085	-0.7428854687	-0.7812132225	1.481213223
-35	-45	2.41002824343574	-0.5693599131	-0.8272042284	1.527204228
-30	-45	2.38180547531377	-0.4002378513	-0.8592576973	1.559257697
-25	-45	2.35162732871967	-0.2364017814	-0.8792187166	1.579218717
-20	-45	2.31987658213283	-0.07821431981	-0.8886307873	1.588630787
-15	-45	2.28679576275045	0.07429744623	-0.8887435596	1.588743560
-10	-45	2.25251364180676	0.2213099341	-0.8805299038	1.580529904
-5	-45	2.21707285291688	0.3631050954	-0.8647159199	1.564715920
0	-45	2.18044949659022	0.5000000000	-0.8418106251	1.541810625
5	-45	2.14256643086129	0.6322944471	-0.8121324495	1.512132450
10	-45	2.10330579100567	0.7602294692	-0.7758346577	1.475834658
15	-45	2.06251753166515	0.8839516387	-0.7329270232	1.432927023
20	-45	2.02002689962312	1.003478715	-0.6832963997	1.383296400
25	-45	1.97564410287152	1.118664284	-0.6267298379	1.326729838
30	-45	1.92918059445153	1.229161727	-0.5629451576	1.262945158
35	-45	1.88045730152240	1.334382610	-0.4916218617	1.191621862
40	-45	1.82933851112300	1.433463158	-0.4124580715	1.112458072
45	-45	1.77575876697900	1.525234802	-0.3252348021	1.025234802

-45	-40	2.41011600943906	-0.9656407175	-0.5298185855	1.465640718
-40	-40	2.38617388659333	-0.7902428838	-0.5902428838	1.537651592
-35	-40	2.35875469559438	-0.6149458143	-0.6361047554	1.592307642
-30	-40	2.32864795907838	-0.4418955938	-0.6689163885	1.631411024
-25	-40	2.29644245238255	-0.2725105414	-0.6900979300	1.656654202
-20	-40	2.26255929973794	-0.1076632609	-0.7009113112	1.669541088
-15	-40	2.22728756355472	0.05216159962	-0.7024339211	1.671355664
-10	-40	2.19080749844878	0.2067413717	-0.6955505041	1.663152327
-5	-40	2.15321535730112	0.3560140754	-0.6809621882	1.645766649
0	-40	2.11454434674188	0.5000000000	-0.6592029062	1.619834947
5	-40	2.07478204855438	0.6387410742	-0.6306590760	1.585817734
10	-40	2.03387563450366	0.7722519341	-0.5955844679	1.544017444
15	-40	1.99175042493586	0.9004791922	-0.5541256028	1.494608693
20	-40	1.94831876129731	1.023266609	-0.5063426540	1.437663192
25	-40	1.90349336692387	1.140324642	-0.4522353571	1.373180626
30	-40	1.85719648166034	1.251202077	-0.3917694495	1.301120164
35	-40	1.80937935284367	1.355264831	-0.3249138506	1.221444764
40	-40	1.76004452140040	1.451684591	-0.2516845908	1.134173530
45	-40	1.70926811194135	1.539440812	-0.1721944020	1.039440812

-45	-35	2.36091551119854	-0.9960821150	-0.3475679747	1.496082115
-40	-35	2.33486541611382	-0.8225727930	-0.4036537320	1.576180877
-35	-35	2.30534453031574	-0.6470076006	-0.4470076006	1.638096619
-30	-35	2.27311518252433	-0.4718364283	-0.4786383922	1.683270070
-25	-35	2.23877148248618	-0.2988629399	-0.4995725199	1.713167103
-20	-35	2.20276751393073	-0.1293709956	-0.5107866906	1.729182599
-15	-35	2.16542764375796	0.03575902555	-0.5131592072	1.732570904
-10	-35	2.12697989777064	0.1959373697	-0.5074552911	1.724424867
-5	-35	2.08757497743409	0.3507735007	-0.4943206752	1.705666692
0	-35	2.04730316385289	0.5000000000	-0.4742848529	1.677052572
5	-35	2.00621085920435	0.6434103333	-0.4477715214	1.639187611
10	-35	1.96431017655901	0.7808081635	-0.4151100762	1.592542233
15	-35	1.92159803611955	0.9119669144	-0.3765561051	1.537481456
20	-35	1.87806209662261	1.036596715	-0.3323071211	1.474287357
25	-35	1.83369606987806	1.154319498	-0.2825261008	1.403192692
30	-35	1.78850893798274	1.264650270	-0.2273640488	1.324413118
35	-35	1.74254230276439	1.366989398	-0.1669893976	1.238189180
40	-35	1.69588331700471	1.460624591	-0.1016170606	1.144827807
45	-35	1.64867835173504	1.544746491	-0.03153936837	1.044746491

-45	-30	2.31118065938454	-1.013022902	-0.1735441800	1.513022902
-40	-30	2.28258773352078	-0.8418394757	-0.2232650733	1.599142016
-35	-30	2.25064909753884	-0.6669894487	-0.2622313894	1.666633655
-30	-30	2.21610068951998	-0.4910703574	-0.2910703574	1.716584213
-25	-30	2.17954047260677	-0.3161367367	-0.3104847226	1.750210880
-20	-30	2.14144126366793	-0.1437741601	-0.3211911570	1.768754968
-15	-30	2.10216823588457	0.02481617074	-0.3238788527	1.773410194
-10	-30	2.06199409872194	0.1887341836	-0.3191826694	1.765276166
-5	-30	2.02111670359118	0.3473028987	-0.3076701252	1.745335854
0	-30	1.97967885410205	0.5000000000	-0.2898394271	1.714452179
5	-30	1.93778122686131	0.6464010345	-0.2661214753	1.673371482
10	-30	1.89549262466688	0.7861317885	-0.2368859175	1.622734010
15	-30	1.85286537659101	0.9188302581	-0.2024537826	1.563095803
20	-30	1.80994675940819	1.044118102	-0.1631110536	1.494952197
25	-30	1.76678681309413	1.161579650	-0.1191227028	1.418762139
30	-30	1.72344999559069	1.270750269	-0.07075026919	1.334978626
35	-30	1.68002684119306	1.371114737	-0.01827037070	1.244080776
40	-30	1.63664221269677	1.462114663	0.03800809916	1.146603606
45	-30	1.59345713235010	1.543162561	0.09772981471	1.043162561

-45	-25	2.26134045732750	-1.018587206	-0.008128843745	1.518587206
-40	-25	2.22988498578380	-0.8498089184	-0.05012097769	1.608639628
-35	-25	2.19530081343698	-0.6762801828	-0.08335126009	1.679902198
-30	-25	2.15830325218548	-0.5006386624	-0.1081843834	1.733157003
-25	-25	2.11949859817111	-0.3250818492	-0.1250818492	1.769393736
-20	-25	2.07937741019046	-0.1513968142	-0.1345499009	1.789698038
-15	-25	2.03833821827093	0.01898138751	-0.1371089335	1.795185901
-10	-25	1.99669622404794	0.1849129351	-0.1332673238	1.786947543
-5	-25	1.95469092678290	0.3454942581	-0.1235033863	1.766008711
0	-25	1.91250762711104	0.5000000000	-0.1082606489	1.733320555
5	-25	1.87029198389490	0.6478345485	-0.08794645286	1.689756621
10	-25	1.82815403117182	0.7884903977	-0.06293078472	1.636110348
15	-25	1.78618978648276	0.9215151956	-0.03355609676	1.573116126
20	-25	1.74448075544008	1.046485309	-0.0001404528492	1.501456046
25	-25	1.70310871380933	1.162988920	0.03701107977	1.421784328
30	-25	1.66216384364775	1.270617106	0.07759679518	1.334747980
35	-25	1.62175051285489	1.368962002	0.1213092347	1.241006351
40	-25	1.58199200492661	1.457621999	0.1678266381	1.141249457
45	-25	1.54303178547341	1.536212093	0.2168063656	1.036212093

-45	-20	2.21162740281997	-1.014502715	0.1487660920	1.514502715
-40	-20	2.17710176983291	-0.8479984791	0.1152883591	1.606482030
-35	-20	2.13974221019473	-0.6761438160	0.08863648723	1.679707446
-30	-20	2.10025353776330	-0.5015499265	0.06860796499	1.734735359
-25	-20	2.05924726664259	-0.3264707474	0.05490926154	1.772372237
-20	-20	2.01723538632549	-0.1528087937	0.04719120627	1.793577420
-15	-20	1.97464217902768	0.01785382075	0.04507413059	1.799394038
-10	-20	1.93181520930288	0.1842168683	0.04816747857	1.790895134
-5	-20	1.88902874089238	0.3452205039	0.05608652399	1.769137735
0	-20	1.84650258350688	0.5000000000	0.06845892174	1.735144852
5	-20	1.80441122227920	0.6478462734	0.08493010871	1.689890638
10	-20	1.76289195714194	0.7881701834	0.1051655128	1.634294322
15	-20	1.72206287340349	0.9204741718	0.1288466353	1.569230972
20	-20	1.68202154192376	1.044328372	0.1556716280	1.495529911
25	-20	1.64285817753298	1.159354633	0.1853495197	1.413990574
30	-20	1.60466291919016	1.265217151	0.2175956770	1.325394985
35	-20	1.56752818410000	1.361617148	0.2521285076	1.230516812
40	-20	1.53155177722515	1.448292586	0.2886659204	1.130131096
45	-20	1.49684063715823	1.525023115	0.3269220968	1.025023115

-45	-15	2.16213790248307	-1.002137936	0.2975033531	1.502137936
-40	-15	2.12444032773786	-0.8376751290	0.2728409867	1.594179141
-35	-15	2.08427536787888	-0.6676944552	0.2531570724	1.667640509
-30	-15	2.04234296921469	-0.4947404497	0.2383393507	1.722940999
-25	-15	1.99925757008812	-0.3210592125	0.2282038605	1.760767163
-20	-15	1.95554703379459	-0.1485926184	0.2225162611	1.781993573
-15	-15	1.91165782787456	0.02100964846	0.2210096485	1.787616328
-10	-15	1.86795894092421	0.1863679791	0.2233999563	1.778695578
-5	-15	1.82474579010566	0.3463428835	0.2293984545	1.756308878
0	-15	1.78225678204337	0.5000000000	0.2387180015	1.721527855
5	-15	1.74068249951780	0.6465783645	0.2510783590	1.675398373
10	-15	1.70017234898149	0.7854604980	0.2662098358	1.618926933
15	-15	1.66084734110982	0.9161465719	0.2838534281	1.553080150
20	-15	1.62280307804538	1.038232054	0.3037619818	1.478780416
25	-15	1.58612193362639	1.151391819	0.3256979510	1.396914264
30	-15	1.55087363626517	1.255366146	0.3494333514	1.308332544
35	-15	1.51712261643092	1.349952791	0.3747476260	1.213858385
40	-15	1.48493148028531	1.435001978	0.4014263673	1.114291967
45	-15	1.45436173979344	1.510412860	0.4292606901	1.010412860

-45	-10	2.11287197465898	-0.9825469986	0.4385869640	1.482546999
-40	-10	2.07199863835873	-0.8198689279	0.4226449705	1.572958537
-35	-10	2.02909389036546	-0.6518868404	0.4099306740	1.645064895
-30	-10	1.98485239311417	-0.4810538069	0.4003790161	1.699235039
-25	-10	1.93988957896159	-0.3095606024	0.3938772627	1.736108314
-20	-10	1.89474115311279	-0.1393230043	0.3902771589	1.756525518
-15	-10	1.84986300086275	0.02801704165	0.3894063041	1.761464381
-10	-10	1.80562922526052	0.1910787423	0.3910787423	1.751979512
-5	-10	1.76234345154056	0.3487178249	0.3951018785	1.729163173
0	-10	1.72024831998023	0.5000000000	0.4012820141	1.694113883
5	-10	1.67953451244436	0.6441737329	0.4094284219	1.647913308
10	-10	1.64034621963296	0.7806433404	0.4193566596	1.591607474
15	-10	1.60279562085625	0.9089449967	0.4308891440	1.526203505
20	-10	1.56696160258770	1.028723724	0.4438574664	1.452656494
25	-10	1.53290270906196	1.139715608	0.4581015031	1.371874548
30	-10	1.50066299346972	1.241733314	0.4734692393	1.284719785
35	-10	1.47027265197671	1.334652220	0.4898170217	1.192006904
40	-10	1.44175492856068	1.418401922	0.5070085697	1.094508790
45	-10	1.41512823327030	1.492958466	0.5249146317	0.9929584660

-45	-5	2.06376268793440	-0.9565161125	0.5725713519	1.456516112
-40	-5	2.01980232361008	-0.7953978928	0.5649354306	1.543795093
-35	-5	1.97431123086306	-0.6295214533	0.5588699536	1.613123812
-30	-5	1.92797900167298	-0.4612343703	0.5543395320	1.664906767
-25	-5	1.88141699110491	-0.2926333734	0.5512860913	1.699807755
-20	-5	1.83515303423664	-0.1255488568	0.5496348649	1.718681359
-15	-5	1.78963376371327	0.03845383855	0.5492995763	1.722513725
-10	-5	1.74522529457181	0.1980634430	0.5501872729	1.712367306
-5	-5	1.70222121909556	0.3522019295	0.5522019295	1.689339676
0	-5	1.66085173903213	0.5000000000	0.5552472331	1.654531697
5	-5	1.62129242645411	0.6407712990	0.5592287010	1.609023311
10	-5	1.58366911878733	0.7739861739	0.5640554946	1.553852807
15	-5	1.54807089965712	0.8992471509	0.5696409594	1.490010652
20	-5	1.51455421257072	1.016266294	0.5759034563	1.418429986
25	-5	1.48315028703548	1.124845221	0.5827665119	1.339984900
30	-5	1.45387239082756	1.224858575	0.5901586933	1.255491881
35	-5	1.42671815851836	1.316238465	0.5980136481	1.165709336
40	-5	1.40167710451757	1.398963996	0.6062695827	1.071343572
45	-5	1.37873202890089	1.473050548	0.6148691080	0.9730505482

-45	0	2.01470070864697	-0.9246085331	0.7000000000	1.424608533
-40	0	1.96782284559925	-0.7648921432	0.7000000000	1.507439756
-35	0	1.91998557243646	-0.6012584825	0.7000000000	1.572760107
-30	0	1.87186412845347	-0.4359320642	0.7000000000	1.621081888
-25	0	1.82404877236225	-0.2708763215	0.7000000000	1.653149606
-20	0	1.77704434922271	-0.1077849630	0.7000000000	1.669875462
-15	0	1.73127000472248	0.05191435056	0.7000000000	1.672278410
-10	0	1.68706396608023	0.2070444167	0.7000000000	1.661433674
-5	0	1.64469041910992	0.3566557849	0.7000000000	1.638431876
0	0	1.60435045192532	0.5000000000	0.7000000000	1.604350452
5	0	1.56619088407603	0.6365025298	0.7000000000	1.560231055
10	0	1.53030887215719	0.7657353469	0.7000000000	1.507060042
15	0	1.49676431933696	0.8873911119	0.7000000000	1.445763312
20	0	1.46558728051050	1.001260372	0.7000000000	1.377201553
25	0	1.43678169784984	1.107210184	0.7000000000	1.302166441
30	0	1.41033364287096	1.205166821	0.7000000000	1.221384763
35	0	1.38621631094989	1.295101012	0.7000000000	1.135521925
40	0	1.36439396218848	1.377015534	0.7000000000	1.045186413
45	0	1.34482574782655	1.450935406	0.7000000000	0.9509354058

-45	5	1.96555135296479	-0.8872027206	0.8213645121	1.387202721
-40	5	1.91600799796225	-0.7288295216	0.8281238229	1.464461997
-35	5	1.86614466780635	-0.5676383765	0.8333979564	1.524745619
-30	5	1.81660771728488	-0.4057078805	0.8372462719	1.568732066
-25	5	1.76794848795957	-0.2448295517	0.8397449536	1.597292128
-20	5	1.72062619711773	-0.08651007871	0.8409812619	1.611423198
-15	5	1.67501079508509	0.06801507742	0.8410483204	1.612189679
-10	5	1.63139151029817	0.2177575083	0.8400410662	1.600676712
-5	5	1.58998718192872	0.3619468287	0.8380531713	1.577954968
0	5	1.55095205572713	0.5000000000	0.8351743784	1.545050215
5	5	1.51439310352279	0.6314895950	0.8314895950	1.502932948
10	5	1.48037164738034	0.7561149667	0.8270772973	1.452500154
15	5	1.44891705040763	0.8736753946	0.8220095518	1.394575558
20	5	1.42003270566768	0.9840467356	0.8163518277	1.329907476
25	5	1.39370049644602	1.087160386	0.8101630576	1.259169510
30	5	1.36988757355111	1.182986183	0.8034961817	1.182966770
35	5	1.34855206071221	1.271518928	0.7963987906	1.101843218
40	5	1.32964624821794	1.352767089	0.7889137001	1.016288242
45	5	1.31311930178498	1.426743870	0.7810795826	0.9267438702

-45	10	1.91616187580460	-0.8445206675	0.9370752698	1.344520668
-40	10	1.86428471110870	-0.6875545753	0.9495507147	1.415272432
-35	10	1.81279375256372	-0.5290964247	0.9591481175	1.469702008
-30	10	1.76228360918290	-0.3710446428	0.9660233832	1.508693577
-25	10	1.71324304173639	-0.2149757821	0.9703569601	1.533270513
-20	10	1.66606142003677	-0.06216195579	0.9723418318	1.544527280
-15	10	1.62103771331275	0.08640062796	0.9721737201	1.543573870
-10	10	1.57839061616525	0.2299565119	0.9700434881	1.531492725
-5	10	1.53827488920263	0.3679522026	0.9661326450	1.509313231
0	10	1.50078952530282	0.5000000000	0.9606093661	1.477989160
5	10	1.46599229898751	0.6258429527	0.9536272358	1.438391531
10	10	1.43390555008840	0.7453238460	0.9453238460	1.391300668
15	10	1.40452765321934	0.8583579522	0.9358214822	1.337410085
20	10	1.37783799290767	0.9649096915	0.9252275447	1.277328880
25	10	1.35380457266741	1.064973830	0.9136360574	1.211590289
30	10	1.33238656661071	1.158559255	0.9011287970	1.140658090
35	10	1.31354026190951	1.245677541	0.8877772834	1.064937893
40	10	1.29721879388786	1.326332000	0.8736440122	0.9847841297
45	10	1.28337603052614	1.400511392	0.8587844548	0.9005113916

-45	15	1.86637533139647	-0.7966578983	1.047438437	1.296657898
-40	15	1.81257999272445	-0.6413091457	1.064453579	1.360159275
-35	15	1.75993621709942	-0.4859866858	1.077308615	1.408134920
-30	15	1.70895798126468	-0.3323624662	1.086300765	1.441694082
-25	15	1.66004387853328	-0.1817502357	1.091746569	1.462018099
-20	15	1.61348719362171	-0.03514227250	1.093963369	1.470291310
-15	15	1.56949253828494	0.1067435439	1.093256456	1.467653075
-10	15	1.52819338195025	0.2434149284	1.089910622	1.455166252
-5	15	1.48966589657162	0.3745590934	1.084184513	1.433796123
0	15	1.45394544209326	0.5000000000	1.076308771	1.404403453
5	15	1.42103602329257	0.6196617627	1.066484884	1.367740206
10	15	1.39091995377512	0.7335367370	1.054886018	1.324452651
15	15	1.36356718916197	0.8416592226	1.041659223	1.275089577
20	15	1.33894076701743	0.9440839739	1.026927674	1.220110691
25	15	1.31700101702241	1.040868688	1.010793369	1.159896643
30	15	1.29771126010326	1.132061266	0.9933406543	1.094762226
35	15	1.28103614537221	1.217687704	0.9746383469	1.024964264
40	15	1.26694560505338	1.297744989	0.9547434388	0.9507154565
45	15	1.25541344162006	1.372194208	0.9337037338	0.8721942084

-45	20	1.81604152440699	-0.7436090346	1.152636672	1.243609035
-40	20	1.76083328789807	-0.5902570688	1.172912996	1.299317779
-35	20	1.70758574641657	-0.4386020458	1.187888501	1.340462641
-30	20	1.65669989185382	-0.2900320724	1.198048020	1.368375689
-25	20	1.60845309156894	-0.1455462879	1.203872560	1.384378482
-20	20	1.56301788093835	-0.005816933586	1.205816934	1.389720603
-15	20	1.52048675539013	0.1287444442	1.204296992	1.385544597
-10	20	1.48089246426217	0.2579267117	1.199682301	1.372865839
-5	20	1.44422739755045	0.3816657556	1.192293983	1.352566603
0	20	1.41045678718268	0.5000000000	1.182404633	1.325395835
5	20	1.37953116980407	0.6130332931	1.170240972	1.291976452
10	20	1.35139425167886	0.7209049328	1.155987052	1.252814129
15	20	1.32599186246616	0.8237659547	1.139789235	1.208310993
20	20	1.30327682164864	0.9217606808	1.121760681	1.158777947
25	20	1.28321096601390	1.015011647	1.101985484	1.104446041
30	20	1.26576835446301	1.103608174	1.080523610	1.045480025
35	20	1.25093485390524	1.187596518	1.057414983	0.9819895963
40	20	1.23870968186813	1.266973226	1.032684480	0.9140430972
45	20	1.22910189736436	1.341678014	1.006345744	0.8416780142

-45	25	1.76502895138219	-0.6852927210	1.252711073	1.185292721
-40	25	1.70900413225587	-0.5345058306	1.274899539	1.232876040
-35	25	1.65577468099989	-0.3871927403	1.290831641	1.267042544
-30	25	1.60558941195662	-0.2443879075	1.301218706	1.289317676
-25	25	1.55857281613223	-0.1067237517	1.306723752	1.301123284
-20	25	1.51475608770868	0.02547946085	1.307941366	1.303734466
-15	25	1.47410673583327	0.1521319326	1.305389187	1.298261302
-10	25	1.43654997344140	0.2733063702	1.299505392	1.285643461
-5	25	1.40199072585590	0.3891816531	1.290653026	1.266659501
0	25	1.37032509842175	0.5000000000	1.279124411	1.241936307
5	25	1.34145358121831	0.6060332751	1.265148971	1.211965880
10	25	1.31528592686406	0.7075576531	1.248899112	1.177117944
15	25	1.29174835919611	0.8048341035	1.230497874	1.137656362
20	25	1.27078793290576	0.8980937789	1.210025712	1.093753668
25	25	1.25237342805944	0.9875259577	1.187525958	1.045502790
30	25	1.23649766007979	1.073268545	1.163010978	0.9929302460
35	25	1.22317592218162	1.155398836	1.136467018	0.9360065410
40	25	1.21244645994006	1.233926214	1.107860284	0.8746592020
45	25	1.20436702291296	1.308784164	1.077142250	0.8087841645

-45	30	1.71323644184469	-0.6215765254	1.347542509	1.121576525
-40	30	1.65709142513421	-0.4741359145	1.370263234	1.160929976
-35	30	1.60456958532088	-0.3319892149	1.386009749	1.188203739
-30	30	1.55572741143749	-0.1957424493	1.395742449	1.205061271
-25	30	1.51051166461132	-0.06561650319	1.400307693	1.212968505
-20	30	1.46879764913839	0.05844038826	1.400426949	1.213175063
-15	30	1.43042100189540	0.1766610219	1.396698670	1.206717494
-10	30	1.39520095531478	0.2893891332	1.389606549	1.194433580
-5	30	1.36295783292345	0.3970273662	1.379531215	1.176982590
0	30	1.33352468403424	0.5000000000	1.366762342	1.154866253
5	30	1.30675786570632	0.5987266781	1.351511543	1.128451094
10	30	1.28253881164339	0.6936040896	1.333920985	1.097983354
15	30	1.26077878637921	0.7849922672	1.314072992	1.063605621
20	30	1.24142267063178	0.8732046499	1.291998424	1.025371349
25	30	1.22444967797788	0.9584995677	1.267682825	0.9832554959
30	30	1.20987403343919	1.041072117	1.241072117	0.9371643965
35	30	1.19774488202889	1.121045565	1.212077926	0.8869449852
40	30	1.18814617501930	1.198462283	1.180583440	0.8323949356
45	30	1.18119430222797	1.273273186	1.146449482	0.7732731858

-45	35	1.66061276194621	-0.5523091747	1.436834817	1.052309175
-40	35	1.60514380030721	-0.4092256472	1.458725935	1.083572932
-35	35	1.55407771854717	-0.2732201984	1.473220198	1.104272885
-30	35	1.50724347782039	-0.1443994257	1.481524422	1.116132546
-25	35	1.46439211565315	-0.02254041999	1.484646648	1.120591547
-20	35	1.42523783227795	0.09278346545	1.483404961	1.118818234
-15	35	1.38948771485329	0.2021109744	1.478446613	1.111736978
-10	35	1.35686275245650	0.3060295455	1.470271083	1.100061112
-5	35	1.32711000759981	0.4051339556	1.459251733	1.084323850
0	35	1.30001063292067	0.5000000000	1.445655466	1.064906368
5	35	1.27538395401395	0.5911685016	1.429658787	1.042060742
10	35	1.25308926317442	0.6791355046	1.411360395	1.015927931
15	35	1.23302734502725	0.7643458523	1.390791253	0.9865521517
20	35	1.21514269540367	0.8471885086	1.367922781	0.9538925877
25	35	1.19942444176699	0.9279917550	1.342672381	0.9178312805
30	35	1.18590768672075	1.007017110	1.314907832	0.8781793948
35	35	1.17467496959158	1.084451088	1.284451088	0.8346826560
40	35	1.16585735036202	1.160394043	1.251082219	0.7870269733
45	35	1.15963445039665	1.234845594	1.214544424	0.7348455940

-45	40	1.60717626245419	-0.4773566755	1.520099626	0.9773566755
-40	40	1.55327561131564	-0.3398812909	1.539881291	1.000931546
-35	40	1.50445802614582	-0.2111333714	1.552192696	1.015603707
-30	40	1.46029978108711	-0.09066460609	1.558450198	1.023061108
-25	40	1.42035002980178	0.02220210468	1.559775796	1.024640893
-20	40	1.38416983032804	0.1282487920	1.557037945	1.021378050
-15	40	1.35135224312224	0.2282850060	1.550892474	1.014054163
-10	40	1.32153706566699	0.3231007757	1.541822807	1.003245355
-5	40	1.29441389744734	0.4134422940	1.530170862	0.9893591067
0	40	1.26972478690338	0.5000000000	1.516163361	0.9726656173
5	40	1.24726270212903	0.5834046965	1.499930497	0.9533200434
10	40	1.22687078527352	0.6642273197	1.481520122	0.9313794128
15	40	1.20844288165720	0.7429803569	1.460908163	0.9068150371
20	40	1.19192275383617	0.8201187555	1.438004112	0.8795190524
25	40	1.17730661255054	0.8960394338	1.412655126	0.8493093066
30	40	1.16464545779825	0.9710778290	1.384647178	0.8159307341
35	40	1.15404919307560	1.045500691	1.353705372	0.7790557251
40	40	1.14569102326752	1.119493700	1.319493700	0.7382838425
45	40	1.13981172833133	1.193142767	1.281615840	0.6931427669

-45	45	1.55304344397497	-0.3966500504	1.596650050	0.8966500504
-40	45	1.50168513961242	-0.2662702903	1.613205371	0.9132053714
-35	45	1.45592882855803	-0.1460139751	1.622603571	0.9226035708
-30	45	1.41509160197145	-0.03485435160	1.626394912	0.9263949116
-25	45	1.37853446132199	0.06831798105	1.625745077	0.9257450771
-20	45	1.34568691233422	0.1645961907	1.621514392	0.9215143924
-15	45	1.31605357573901	0.2550076936	1.614323735	0.9143237348
-10	45	1.28921574348377	0.3404930324	1.604608965	0.9046089654
-5	45	1.26482572608393	0.4219023421	1.592660314	0.8926603142
0	45	1.24260122947985	0.5000000000	1.578651756	0.8786517557
5	45	1.22231992120308	0.5754731036	1.562661521	0.8626615212
10	45	1.20381648190974	0.6489410268	1.544686537	0.8446865373
15	45	1.18697912157190	0.7209642206	1.524649698	0.8246496978
20	45	1.17175032176340	0.7920512326	1.502404167	0.8024041669
25	45	1.15812767051044	0.8626625993	1.477732454	0.7777324541
30	45	1.14616954553420	0.9332113683	1.450344100	0.7503441002
35	45	1.13600171000499	1.004058279	1.419869827	0.7198698271
40	45	1.12782678117149	1.075500238	1.385854476	0.6858544760
45	45	1.12193546245908	1.147749741	1.347749741	0.6477497413


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.77575907784335	1.525234982	-0.3252349816	1.025234982
45	-40	1.70926821207757	1.539440873	-0.1721944531	1.039440873
45	-35	1.64867855495667	1.544746620	-0.03153945854	1.044746620
45	-30	1.59345725926693	1.543162644	0.09772976674	1.043162644
45	-25	1.54303184901825	1.536212136	0.2168063457	1.036212136
45	-20	1.49684067295646	1.525023139	0.3269220879	1.025023139
45	-15	1.45436178628674	1.510412893	0.4292606814	1.010412893
45	-10	1.41512825250643	1.492958480	0.5249146293	0.9929584795
45	-5	1.37873204642448	1.473050561	0.6148691069	0.9730505606
45	0	1.34482575966260	1.450935414	0.7000000000	0.9509354142
45	5	1.31311931152921	1.426743877	0.7810795832	0.9267438771
45	10	1.28337604348171	1.400511401	0.8587844564	0.9005114006
45	15	1.25541344483032	1.372194211	0.9337037344	0.8721942106
45	20	1.22910191066901	1.341678023	1.006345747	0.8416780233
45	25	1.20436704733656	1.308784181	1.077142257	0.8087841809
45	30	1.18119433842065	1.273273209	1.146449496	0.7732732095
45	35	1.15963446671224	1.234845604	1.214544432	0.7348456043
45	40	1.13981176072931	1.193142787	1.281615857	0.6931427866
45	45	1.12193544754802	1.147749733	1.347749733	0.6477497327

50	-45	1.78960340508716	1.588294343	-0.3882943429	0.9131873817
50	-40	1.71976462305894	1.608217144	-0.2299045971	0.9299045971
50	-35	1.65538478342473	1.617488752	-0.08247404818	0.9376843999
50	-30	1.59618244480158	1.618258183	0.05437333675	0.9383300293
50	-25	1.54177922940029	1.612239950	0.1813539935	0.9332801321
50	-20	1.49175613595787	1.600765917	0.2993539713	0.9236522749
50	-15	1.44569263034674	1.584847150	0.4093160822	0.9102948436
50	-10	1.40318930951217	1.565231686	0.5121709131	0.8938355148
50	-5	1.36388659792467	1.542459162	0.6087966412	0.8747270980
50	0	1.32746841945494	1.516899806	0.7000000000	0.8532802523
50	5	1.29366960316203	1.488790220	0.7865079349	0.8296935093
50	10	1.26227118409841	1.458253639	0.8689659709	0.8040702748
50	15	1.23310560704446	1.425321936	0.9479392655	0.7764372952
50	20	1.20605832349399	1.389949680	1.023915194	0.7467564485
50	25	1.18106888404290	1.352023410	1.097305041	0.7149325293
50	30	1.15813356988872	1.311368617	1.168443889	0.6808191069
50	35	1.13730913267387	1.267755132	1.237587931	0.6442230484
50	40	1.11871825791133	1.220902580	1.304909089	0.6049090887
50	45	1.10255447387232	1.170485870	1.370485870	0.5626044465

55	-45	1.80157578690699	1.641635650	-0.4416356497	0.7993818878
55	-40	1.72909481195744	1.667247653	-0.2794370755	0.8173156059
55	-35	1.66157064716575	1.680653574	-0.1267025324	0.8267025324
55	-30	1.59895232137458	1.684044085	0.01639182872	0.8290765940
55	-25	1.54105424304125	1.679255433	0.1501041608	0.8257235435
55	-20	1.48760921162711	1.667780052	0.2749628208	0.8176883956
55	-15	1.43831278290104	1.650802191	0.3916434821	0.8058003695
55	-10	1.39285298414098	1.629239785	0.5008845582	0.7907022098
55	-5	1.35093243011716	1.603788115	0.6034310530	0.7728807585
55	0	1.31227726129462	1.574954601	0.7000000000	0.7526913150
55	5	1.27665268679201	1.543097368	0.7912591947	0.7303846402
55	10	1.24385967883407	1.508445150	0.8778160885	0.7061208957
55	15	1.21374495485366	1.471124202	0.9602119458	0.6799884870
55	20	1.18620170460083	1.431173777	1.038919538	0.6520148982
55	25	1.16117174926163	1.388559309	1.114342011	0.6221759265
55	30	1.13864758947445	1.343182705	1.186811762	0.5904028861
55	35	1.11867413118565	1.294890433	1.256588273	0.5565882731
55	40	1.10135134234879	1.243481364	1.323854939	0.5205912559
55	45	1.08683554425295	1.188713854	1.388713854	0.4822426319

60	-45	1.81172405631492	1.686051804	-0.4860518038	0.6847673282
60	-40	1.73719235823748	1.717047323	-0.3212239595	0.7026625993
60	-35	1.66710987181451	1.734515599	-0.1644171285	0.7127479135
60	-30	1.60161956931277	1.740609184	-0.01626604622	0.7162660462
60	-25	1.54071384528152	1.737221409	0.1230741821	0.7143101136
60	-20	1.48427710547457	1.725960548	0.2537868523	0.7078086522
60	-15	1.43212894065853	1.708158329	0.3762749515	0.6975305362
60	-10	1.38405299906691	1.684889798	0.4910719594	0.6840964439
60	-5	1.33982057359415	1.657002404	0.5987754060	0.6679956495
60	0	1.29920894051823	1.625147947	0.7000000000	0.6496044703
60	5	1.26201788426691	1.589815872	0.7953465341	0.6292054868
60	10	1.22806890032986	1.551351583	0.8853816503	0.6069981194
60	15	1.19721905236091	1.509985992	0.9706249310	0.5831156845
60	20	1.16936357597347	1.465853077	1.051541771	0.5576355342
60	25	1.14443645321592	1.419003412	1.128538329	0.5305868675
60	30	1.12241407306304	1.369418203	1.201958833	0.5019588333
60	35	1.10331722747488	1.317020132	1.272083656	0.4717067933
60	40	1.08720962341765	1.261680510	1.339125835	0.4397564475
60	45	1.07419878814401	1.203228180	1.403228180	0.4060089789

65	-45	1.82012248940126	1.722290397	-0.5222903972	0.5699633727
65	-40	1.74402853070134	1.758142651	-0.3557070341	0.5866815530
65	-35	1.67190774503210	1.779387991	-0.1958371153	0.5965884178
65	-30	1.60406015230070	1.788089653	-0.04367890777	0.6006460695
65	-25	1.54063254102219	1.786146435	0.1002600676	0.5997399324
65	-20	1.48165223425361	1.775242332	0.2358497498	0.5946552652
65	-15	1.42705610735242	1.756823319	0.3632352067	0.5860663385
65	-10	1.37672495763367	1.732102936	0.4827470094	0.5745390347
65	-5	1.33050405224603	1.702073286	0.5948322147	0.5605359791
65	0	1.28822363254321	1.667527110	0.7000000000	0.5444268323
65	5	1.24971937295252	1.629086583	0.7987822761	0.5265017203
65	10	1.21483154497106	1.587216081	0.8917055290	0.5069771847
65	15	1.18342521391873	1.542255029	0.9792713934	0.4860115019
65	20	1.15539073093013	1.494432523	1.061943838	0.4637115010
65	25	1.13064865621122	1.443884866	1.140140741	0.4401407413
65	30	1.10915165496300	1.390669074	1.214228029	0.4153258100
65	35	1.09088778738264	1.334776164	1.284516563	0.3892625182
65	40	1.07587894031738	1.276139357	1.351258248	0.3619197258
65	45	1.06418208432046	1.214643959	1.414643959	0.3332439512

70	-45	1.82685344042650	1.751012938	-0.5510129382	0.4553314722
70	-40	1.74959772315220	1.791027062	-0.3833003319	0.4698954223
70	-35	1.67589775495007	1.815587422	-0.2211842302	0.4788346622
70	-30	1.60617646636478	1.826645121	-0.06593891780	0.4828593355
70	-25	1.54070720453212	1.826070317	0.08164325601	0.4826501239
70	-20	1.47963767248843	1.815585051	0.2211662007	0.4788337993
70	-15	1.42301600433719	1.796724308	0.3525437688	0.4719690503
70	-10	1.37081146326342	1.770814914	0.4759210432	0.4625388020
70	-5	1.32294097591241	1.738977868	0.5916034822	0.4509510649
70	0	1.27928659753532	1.702136176	0.7000000000	0.4375417854
70	5	1.23971596112831	1.661034896	0.8015773914	0.4225821432
70	10	1.20408808783206	1.616253504	0.8968256101	0.4062830495
70	15	1.17227196741968	1.568233633	0.9862323393	0.3888052456
70	20	1.14415005588390	1.517294124	1.070264781	0.3702647806
70	25	1.11962453811080	1.463648941	1.149356881	0.3507395308
70	30	1.09862206028638	1.407423080	1.223900960	0.3302749910
70	35	1.08109596292958	1.348665288	1.294241832	0.3088889037
70	40	1.06702711318935	1.287358637	1.360672342	0.2865751077
70	45	1.05642471712231	1.223430222	1.423430222	0.2633070673

75	-45	1.83199679864056	1.772773530	-0.5727735299	0.3410386395
75	-40	1.75390954577191	1.816132996	-0.4043667112	0.3526567733
75	-35	1.67903790632022	1.843407724	-0.2406642153	0.3599650148
75	-30	1.60789444876948	1.856435873	-0.08313861633	0.3634558967
75	-25	1.54085142955424	1.857044055	0.06719996447	0.3636188588
75	-20	1.47815551877574	1.846970229	0.2097429304	0.3609195850
75	-15	1.41994374102076	1.827808031	0.3442149103	0.3557850897
75	-10	1.36626483889888	1.800975720	0.4706028794	0.3485953934
75	-5	1.31709624865472	1.767698683	0.5890907365	0.3396788383
75	0	1.27236726366714	1.729012401	0.7000000000	0.3293128802
75	5	1.23197346963575	1.685768425	0.8037412948	0.3177256920
75	10	1.19578722644083	1.638644649	0.9007737730	0.3050989140
75	15	1.16368140233218	1.588173754	0.9915752787	0.2915752787
75	20	1.13552769263373	1.534750387	1.076618341	0.2772605307
75	25	1.11121014865510	1.478654462	1.156354070	0.2622296727
75	30	1.09063128147093	1.420067480	1.231201207	0.2465313384
75	35	1.07371114072187	1.359082356	1.301535941	0.2301904234
75	40	1.06039521519570	1.295720130	1.367688467	0.2132125661
75	45	1.05065248244170	1.229937230	1.429937230	0.1955860913

80	-45	1.83562105714528	1.788007282	-0.5880072818	0.2271104351
80	-40	1.75697500605898	1.833808229	-0.4191979931	0.2351863779
80	-35	1.68129699405014	1.863092500	-0.2544476436	0.2403499849
80	-30	1.60915771981026	1.877602279	-0.09535904658	0.2429084505
80	-25	1.54100002855850	1.879121261	0.05690519453	0.2431762880
80	-20	1.47714230706211	1.869389244	0.2015830759	0.2414602709
80	-15	1.41778771357502	1.850036492	0.3382588121	0.2380478585
80	-10	1.36304636118476	1.822546881	0.4667993017	0.2332006983
80	-5	1.31294323086005	1.788223973	0.5872950062	0.2271486437
80	0	1.26744219540518	1.748186901	0.7000000000	0.2200890275
80	5	1.22646334149392	1.703372272	0.8052814318	0.2121869994
80	10	1.18988881510929	1.654534274	0.9035755426	0.2035755426
80	15	1.15759089471851	1.602273589	0.9953533179	0.1943605738
80	20	1.12943348559830	1.547044730	1.081093116	0.1846222358
80	25	1.10528620231632	1.489178243	1.161261390	0.1744188130
80	30	1.08502935254478	1.428895217	1.236297903	0.1637892889
80	35	1.06855837593025	1.366321603	1.306604917	0.1527558727
80	40	1.05579034550583	1.301503633	1.372541403	0.1413267157
80	45	1.04666453713710	1.234417128	1.434417128	0.1294975548

85	-45	1.83777597360071	1.797024281	-0.5970242811	0.1134749209
85	-40	1.75880960652584	1.844310583	-0.4280105144	0.1176119363
85	-35	1.68265865959350	1.874827185	-0.2626643585	0.1202817930
85	-30	1.60993051492774	1.890255914	-0.1026646263	0.1216316319
85	-25	1.54110827658622	1.892348327	0.05073731243	0.1218146943
85	-20	1.47655267452938	1.882840292	0.1966872951	0.1209828490
85	-15	1.41651008554116	1.863384013	0.3346823546	0.1192806452
85	-10	1.36112715522662	1.835500722	0.4645151900	0.1168411733
85	-5	1.31046052859593	1.800543631	0.5862171759	0.1137828241
85	0	1.26449549411229	1.759683707	0.7000000000	0.1102080440
85	5	1.22316579445653	1.713909498	0.8062033197	0.1062033197
85	10	1.18636143577947	1.664025380	0.9052490806	0.1018390248
85	15	1.15395462760305	1.610675672	0.9976046494	0.09717153018
85	20	1.12580340951619	1.554352034	1.083752757	0.09224385030
85	25	1.10176660572669	1.495415386	1.164169818	0.08708756177
85	30	1.08171041342041	1.434111308	1.239309415	0.08172414995
85	35	1.06551512067366	1.370586049	1.309590914	0.07616640988
85	40	1.05307969854704	1.304900188	1.375391451	0.07041964175
85	45	1.04432456852316	1.237039956	1.437039956	0.06448264072

90	-45	1.83849088478710	1.800009372	-0.6000093718	0.000000000
90	-40	1.75942030405196	1.847794147	-0.4309335717	0.000000000
90	-35	1.68311384487191	1.878726147	-0.2653944411	0.000000000
90	-30	1.61019079288464	1.894466132	-0.1050953964	0.000000000
90	-25	1.54114759480442	1.896754066	0.04868288240	0.000000000
90	-20	1.47635923198370	1.887323876	0.1950554039	0.000000000
90	-15	1.41608684065960	1.867834852	0.3334897561	0.000000000
90	-10	1.36048943706430	1.839820546	0.4637534885	0.000000000
90	-5	1.30963451605055	1.804650961	0.5858578310	0.000000000
90	0	1.26351473398103	1.763514734	0.7000000000	0.000000000
90	5	1.22206852937733	1.717418190	0.8065102904	0.000000000
90	10	1.18518840759856	1.667182733	0.9058058072	0.000000000
90	15	1.15274621806895	1.613467343	0.9983526754	0.000000000
90	20	1.12459803972155	1.556776479	1.084635183	0.000000000
90	25	1.10059922878479	1.497481651	1.165133333	0.000000000
90	30	1.08061112714332	1.435836688	1.240305564	0.000000000
90	35	1.06450872756046	1.371994500	1.310577122	0.000000000
90	40	1.05218480076486	1.306020320	1.376331353	0.000000000
90	45	1.04355344679962	1.237903719	1.437903719	0.000000000


### +y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	1.12193548966302	1.147749757	1.347749757	0.6477497570
40	45	1.12782684500838	1.075500270	1.385854515	0.6858545148
35	45	1.13600177625133	1.004058309	1.419869869	0.7198698691
30	45	1.14616957726518	0.9332113803	1.450344121	0.7503441210
25	45	1.15812769058036	0.8626626056	1.477732468	0.7777324676
20	45	1.17175033899469	0.7920512369	1.502404179	0.8024041787
15	45	1.18697912978009	0.7209642221	1.524649704	0.8246497035
10	45	1.20381648826125	0.6489410276	1.544686542	0.8446865418
5	45	1.22231992939774	0.5754731041	1.562661527	0.8626615270
0	45	1.24260124074671	0.5000000000	1.578651764	0.8786517636
-5	45	1.26482574316408	0.4219023411	1.592660326	0.8926603263
-10	45	1.28921576586600	0.3404930296	1.604608981	0.9046089811
-15	45	1.31605361199212	0.2550076869	1.614323760	0.9143237600
-20	45	1.34568696893454	0.1645961766	1.621514431	0.9215144311
-25	45	1.37853458326604	0.06831794286	1.625745159	0.9257451590
-30	45	1.41509170316778	-0.03485438985	1.626394978	0.9263949779
-35	45	1.45592900618914	-0.1460140539	1.622603683	0.9226036834
-40	45	1.50168540811818	-0.2662704273	1.613205535	0.9132055347
-45	45	1.55304362635081	-0.3966501557	1.596650156	0.8966501557

45	50	1.10255452673073	1.170485902	1.370485902	0.5626044735
40	50	1.10631218814650	1.098200926	1.412908102	0.5982009258
35	50	1.11274329244940	1.025976049	1.451171647	0.6303078516
30	50	1.12157721428140	0.9536575106	1.485757858	0.6593291286
25	50	1.13261755476023	0.8810062819	1.517070608	0.6856036461
20	50	1.14573601073046	0.8077142246	1.545437884	0.7094066163
15	50	1.16086794708974	0.7334145141	1.571114826	0.7309521292
10	50	1.17800806542658	0.6576866199	1.594285261	0.7503944325
5	50	1.19720708477937	0.5800574678	1.615061044	0.7678273843
0	50	1.21856973033369	0.5000000000	1.633478570	0.7832815242
-5	50	1.24225619751098	0.4169300894	1.649493423	0.7967195808
-10	50	1.26848156549593	0.3302027156	1.662968252	0.8080263051
-15	50	1.29751785922165	0.2391094298	1.673656863	0.8169951149
-20	50	1.32969692969801	0.1428787646	1.681182530	0.8233098993
-25	50	1.36541016142195	0.04068357258	1.685007257	0.8265192263
-30	50	1.40510515847389	-0.06833938873	1.684392697	0.8260035492
-35	50	1.44927940017345	-0.1850513129	1.678354667	0.8209370402
-40	50	1.49846065908236	-0.3102419580	1.665608764	0.8102419580
-45	50	1.55317078084930	-0.4445148403	1.644514840	0.7925420541

45	55	1.08683558023942	1.188713876	1.388713876	0.4822426479
40	55	1.08860985294701	1.116637586	1.434880058	0.5145685565
35	55	1.09335557905925	1.043991210	1.476899962	0.5439912095
30	55	1.10083997066100	0.9706476792	1.515185693	0.5707991672
25	55	1.11088960147655	0.8963997844	1.550082081	0.5952338812
20	55	1.12339003957160	0.8209730955	1.581866332	0.6174894535
15	55	1.13828367134969	0.7440339775	1.610747203	0.6377120567
10	55	1.15556779194145	0.6651943127	1.636863502	0.6559988865
5	55	1.17529298031708	0.5840136805	1.660280762	0.6723958282
0	55	1.19756046328321	0.5000000000	1.680984102	0.6868924628
-5	55	1.22252495695157	0.4126100276	1.698871955	0.6994176726
-10	55	1.25039121322647	0.3212501954	1.713740517	0.7098287520
-15	55	1.28141588914299	0.2252802407	1.725268100	0.7179004520
-20	55	1.31590490404099	0.1240218841	1.732991384	0.7233083536
-25	55	1.35420843728661	0.01677652590	1.736276084	0.7256083259
-30	55	1.39671463564497	-0.09714447086	1.734284563	0.7242138477
-35	55	1.44383402071854	-0.2183692390	1.725937597	0.7183692390
-40	55	1.49597486001449	-0.3473874490	1.709877037	0.7071235138
-45	55	1.55350258502493	-0.4844348186	1.684434819	0.6893086809

45	60	1.07419879494666	1.203228184	1.403228184	0.4060089814
40	60	1.07420295700192	1.131479751	1.452568261	0.4344954883
35	60	1.07739731263216	1.058643858	1.497826113	0.4606251211
30	60	1.08359546209544	0.9845986227	1.539349436	0.4845986227
25	60	1.09265764478755	0.9091495688	1.577424082	0.5065810298
20	60	1.10449489115954	0.8320405201	1.612273831	0.5267015421
15	60	1.11906628649111	0.7529589184	1.644055536	0.5450507176
10	60	1.13638047734427	0.6715409357	1.672856990	0.5616792449
5	60	1.15649276068262	0.5873740205	1.698689624	0.5765937231
0	60	1.17950566445550	0.5000000000	1.721481869	0.5897528322
-5	60	1.20556880618125	0.4089182422	1.741069256	0.6010616149
-10	60	1.23487478043949	0.3135909764	1.757178107	0.6103620645
-15	60	1.26766033524282	0.2134521957	1.769410965	0.6174247082
-20	60	1.30419879644622	0.1079231782	1.777222215	0.6219345356
-25	60	1.34479252033113	-0.003562376036	1.779893000	0.6234765144
-30	60	1.38976133123629	-0.1215201618	1.776504498	0.6215201618
-35	60	1.43942477972499	-0.2463595867	1.765911956	0.6154045547
-40	60	1.49407357782599	-0.3783044248	1.746722454	0.6043254904
-45	60	1.55392965967871	-0.5172857557	1.717285756	0.5873302049

45	65	1.06418210411211	1.214643973	1.414643973	0.3332439574
40	65	1.06266523579572	1.143259640	1.466606987	0.3574747087
35	65	1.06449330267194	1.070373941	1.514578407	0.3798441493
30	65	1.06952810406760	0.9958576467	1.558850637	0.4004886294
25	65	1.07766788799877	0.9195163019	1.599655613	0.4195163019
20	65	1.08885470993707	0.8411004110	1.637165677	0.4370075321
15	65	1.10307035097531	0.7603087971	1.671485656	0.4530112014
10	65	1.12033978296809	0.6767943314	1.702650477	0.4675435960
5	65	1.14072859556949	0.5901672564	1.730616457	0.4805843463
0	65	1.16434310854767	0.5000000000	1.755253226	0.4920726606
-5	65	1.19132867524767	0.4058331328	1.776332217	0.5019019554
-10	65	1.22186672806060	0.3071842895	1.793512233	0.5099131286
-15	65	1.25617049383585	0.2035617629	1.806322562	0.5158866831
-20	65	1.29447742946495	0.09448512356	1.814142966	0.5195333975
-25	65	1.33703910851043	-0.02048475101	1.816183151	0.5204847510
-30	65	1.38410707197013	-0.1417036381	1.811463305	0.5182838507
-35	65	1.43591167755251	-0.2693863366	1.798797563	0.5123777184
-40	65	1.49263500989291	-0.4035318239	1.776787297	0.5021141629
-45	65	1.55437684486733	-0.5438307873	1.743830787	0.4867462899

45	70	1.05642472863586	1.223430230	1.423430230	0.2633070701
40	70	1.05365479447131	1.152392589	1.477491212	0.2829836585
35	70	1.05433613515391	1.079532861	1.527658701	0.3012431311
30	70	1.05837388426509	1.004707773	1.574179506	0.3181753196
25	70	1.06570374495371	0.9277159838	1.617239887	0.3338480167
20	70	1.07629877145054	0.8483070481	1.656965750	0.3483070481
15	70	1.09016688504332	0.7661848329	1.693415320	0.3615736069
10	70	1.10735121878520	0.6810125700	1.726573297	0.3736421235
5	70	1.12793076913370	0.5924181577	1.756344376	0.3844779100
0	70	1.15201766654817	0.5000000000	1.782542500	0.3940132474
-5	70	1.17975336342128	0.4033357052	1.804877945	0.4021426846
-10	70	1.21130869855503	0.3019940766	1.822947393	0.4087194259
-15	70	1.24687349397701	0.1955522892	1.836214325	0.4135481941
-20	70	1.28665064283392	0.08361980967	1.843995171	0.4163801903
-25	70	1.33084258662054	-0.03412840948	1.845442071	0.4169068188
-30	70	1.37963609353657	-0.1579083921	1.839530762	0.4147552784
-35	70	1.43318141565288	-0.2877712797	1.825053983	0.4094861617
-40	70	1.49156674529728	-0.4235350097	1.800626166	0.4005951634
-45	70	1.55479135173773	-0.5647072470	1.764707247	0.3875217461

45	75	1.05065249107689	1.229937236	1.429937236	0.1955860929
40	75	1.04690601322926	1.159194856	1.485597838	0.2105003063
35	75	1.04668098939625	1.086392569	1.537455379	0.2243954924
30	75	1.04991768746108	1.011371307	1.585721084	0.2373282493
25	75	1.05658485455831	0.9339204421	1.630545391	0.2493388860
20	75	1.06668352800264	0.8537849259	1.672016095	0.2604509277
15	75	1.08024655530365	0.7706696092	1.710152734	0.2706696092
10	75	1.09733543641017	0.6842436271	1.744897533	0.2799794500
5	75	1.11804105560217	0.5941473413	1.776109035	0.2883425470
0	75	1.14248128990910	0.5000000000	1.803552184	0.2956959165
-5	75	1.17079765239545	0.4014101623	1.826887001	0.3019484619
-10	75	1.20315010770073	0.2979899925	1.845655683	0.3069775150
-15	75	1.23970876372922	0.1893750922	1.859267938	0.3106249078
-20	75	1.28064411053664	0.07525116884	1.866987823	0.3126934446
-25	75	1.32611573849753	-0.04461194009	1.867924075	0.3129443126
-30	75	1.37625477971388	-0.1703165526	1.861022326	0.3110949947
-35	75	1.43114437593142	-0.3017843411	1.845066709	0.3068196998
-40	75	1.49079942405676	-0.4386967880	1.818695269	0.2997534940
-45	75	1.55514104608409	-0.5804289397	1.780428940	0.2895000619

45	80	1.04666453847702	1.234417129	1.434417129	0.1294975550
40	80	1.04222098223572	1.163897681	1.491202446	0.1395103385
35	80	1.04134212347650	1.091154650	1.544256335	0.1488651705
30	80	1.04399415843898	1.016015421	1.593764927	0.1575948710
25	80	1.05017153550466	0.9382607702	1.639853255	0.1657214867
20	80	1.05989739369889	0.8576302678	1.682581085	0.1732555561
15	80	1.07322318268682	0.7738273334	1.721937521	0.1801951575
10	80	1.09022718132528	0.6865246460	1.757833834	0.1865246460
5	80	1.11101100138942	0.5953708318	1.790093595	0.1922129123
0	80	1.13569780801254	0.5000000000	1.818444006	0.1972118547
-5	80	1.16442712429837	0.4000438491	1.842504033	0.2014542866
-10	80	1.19735214604442	0.2951475720	1.861775851	0.2048524280
-15	80	1.23462606960994	0.1849915564	1.875627516	0.2072948504
-20	80	1.27639626187695	0.06931874761	1.883287016	0.2086454268
-25	80	1.32278781826127	-0.05202982407	1.883831778	0.2087414831
-30	80	1.37388937052844	-0.1790728630	1.876188701	0.2073938024
-35	80	1.42973543886021	-0.3116398384	1.859141817	0.2043879769
-40	80	1.49028403384550	-0.4493150978	1.831349678	0.1994874729
-45	80	1.55540230338722	-0.5913851119	1.791385112	0.1924406416

45	85	1.04432456858508	1.237039956	1.437039956	0.06448264072
40	85	1.03946368485659	1.166658836	1.494493063	0.06950913630
35	85	1.03818994499799	1.093957932	1.548259836	0.07421311941
30	85	1.04048649916532	1.018756368	1.598512386	0.07860964785
25	85	1.04636367998888	0.9408287888	1.645360388	0.08270831694
20	85	1.05585888657429	0.8599107579	1.688846680	0.08651287450
15	85	1.06903544609803	0.7757040108	1.728941376	0.09002070586
10	85	1.08598143832035	0.6878826175	1.765535273	0.09322225694
5	85	1.10680645760065	0.5961002348	1.798430710	0.09610023478
0	85	1.13163776111984	0.5000000000	1.827331538	0.09862872959
-5	85	1.16061446924268	0.3992277988	1.851831530	0.1007722012
-10	85	1.19388403712631	0.2934494551	1.871406350	0.1024847760
-15	85	1.23159032681580	0.1823731205	1.885399652	0.1037090313
-20	85	1.27386467653763	0.06577757972	1.893016295	0.1043754012
-25	85	1.32081045427675	-0.05645210551	1.893315391	0.1044015687
-30	85	1.37248988053281	-0.1842836177	1.885213993	0.1036927882
-35	85	1.42890672876285	-0.3174905656	1.867497522	0.1021427979
-40	85	1.48998625401226	-0.4556009671	1.838840886	0.09963566705
-45	85	1.55556325256879	-0.5978505206	1.797850521	0.09604947480

45	90	1.04355344678355	1.237903719	1.437903719	0.000000000
40	90	1.03855348029636	1.167569309	1.495578122	0.000000000
35	90	1.03714770211576	1.094883483	1.549581660	0.000000000
30	90	1.03932500227902	1.019662501	1.600081855	0.000000000
25	90	1.04510107021910	0.9416787976	1.647183238	0.000000000
20	90	1.05451825146126	0.8606664835	1.690923019	0.000000000
15	90	1.06764399271735	0.7763265987	1.731264906	0.000000000
10	90	1.08456973780793	0.6883335585	1.768092686	0.000000000
5	90	1.10540781176368	0.5963426389	1.801201401	0.000000000
0	90	1.13028693400321	0.5000000000	1.830286934	0.000000000
-5	90	1.15934615793793	0.3989563245	1.854934496	0.000000000
-10	90	1.19273067394428	0.2928844920	1.874610415	0.000000000
-15	90	1.23058151000019	0.1815020687	1.888650462	0.000000000
-20	90	1.27302438997692	0.06460001568	1.896251625	0.000000000
-25	90	1.32015527991691	-0.05792172963	1.896467010	0.000000000
-30	90	1.37202744582303	-0.1860137229	1.888210623	0.000000000
-35	90	1.42863414235674	-0.3194308802	1.870268578	0.000000000
-40	90	1.48988989556769	-0.4576827647	1.841321875	0.000000000
-45	90	1.55561819737237	-0.5999881763	1.799988176	0.000000000


### -x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = 180 - dsigma = 180 - dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-90	45	1.55561820456239	-0.5999881814	1.799988181	1.347052516e-16
-90	40	1.62553444053442	-0.7452316253	1.744873397	1.524918560e-16
-90	35	1.69923111046092	-0.8919286379	1.674638925	1.704564654e-16
-90	30	1.77618663406097	-1.038222747	1.588093317	1.883717350e-16
-90	25	1.85575921581176	-1.181889028	1.484277734	2.059651990e-16
-90	20	1.93719251434708	-1.320365511	1.362558861	2.229231171e-16
-90	15	2.01963531154335	-1.450817907	1.222720083	2.388984004e-16
-90	10	2.10216069740700	-1.570224153	1.065036374	2.535209651e-16
-90	5	2.18378678841473	-1.675476820	0.8903295595	2.664102737e-16
-90	-2.84217e-14	2.26349236762395	-1.763492368	0.7000000000	2.771887135e-16
-90	-5	2.34026429198193	-1.831358880	0.4960325274	2.854996897e-16
-90	-10	2.41309509225887	-1.876434756	0.2809704347	2.910197101e-16
-90	-15	2.48101246443958	-1.896474015	0.05786672307	2.934737305e-16
-90	-20	2.54311733302008	-1.889748592	-0.1697973547	2.926501309e-16
-90	-25	2.59857329475371	-1.855107212	-0.3982045288	2.884079256e-16
-90	-30	2.64663449898639	-1.792052711	-0.6233172495	2.806862313e-16
-90	-35	2.68666670323174	-1.700788522	-0.8410087133	2.695099608e-16
-90	-40	2.71812927528388	-1.582207827	-1.047179820	2.549884935e-16
-90	-45	2.74060720688101	-1.437901941	-1.237901941	2.373167029e-16

-85	45	1.55556326098468	-0.5978505265	1.797850527	0.09604947532
-85	40	1.62529011832943	-0.7422576603	1.742377945	0.1086834625
-85	35	1.69872566603541	-0.8879548367	1.671856439	0.1214303137
-85	30	1.77534674048762	-1.033101139	1.585136355	0.1341289697
-85	25	1.85451709061869	-1.175504445	1.481300554	0.1465876446
-85	20	1.93549374639148	-1.312653746	1.359752009	0.1585866537
-85	15	2.01744040277046	-1.441776498	1.220297445	0.1698834307
-85	10	2.09945414650518	-1.559926963	1.063220702	0.1802202570
-85	5	2.18058167661013	-1.664080145	0.8893324796	0.1893324796
-85	-2.84217e-14	2.25982724037898	-1.751227915	0.7000000000	0.1969569216
-85	-5	2.33620543690528	-1.818526224	0.4971552393	0.2028447607
-85	-10	2.40873387491552	-1.863383770	0.2832716755	0.2067692875
-85	-15	2.47645973788165	-1.883580358	0.06132156803	0.2085362599
-85	-20	2.53849797593518	-1.877387100	-0.1652981398	0.2079944201
-85	-25	2.59401624134923	-1.843621294	-0.3928485571	0.2050402948
-85	-30	2.64226741496346	-1.781730712	-0.6173578409	0.1996255705
-85	-35	2.68260297562227	-1.691838182	-0.8347416173	0.1917609932
-85	-40	2.71446723470988	-1.574748181	-1.040920433	0.1815169455
-85	-45	2.73742166569675	-1.431956027	-1.231956027	0.1690242508

-80	45	1.55540229129274	-0.5913851034	1.791385103	0.1924406401
-80	40	1.62455856089568	-0.7332842355	1.734848347	0.2174612856
-80	35	1.69721242092151	-0.8759957518	1.663482598	0.2426251764
-80	30	1.77283674489138	-1.017728132	1.576260745	0.2676164190
-80	25	1.85081125335339	-1.156387477	1.472386165	0.2920658027
-80	20	1.93043028329798	-1.289611234	1.351365220	0.3155567455
-80	15	2.01090931210955	-1.414814840	1.213073090	0.3376335194
-80	10	2.09141306039560	-1.529272003	1.057815405	0.3578154053
-80	5	2.17105879726136	-1.630183487	0.8863669064	0.3756088227
-80	-2.84217e-14	2.24893742059317	-1.714771008	0.7000000000	0.3905238848
-80	-5	2.32414298279151	-1.780385501	0.5004921202	0.4020934903
-80	-10	2.39576399774578	-1.824579920	0.2901138412	0.4098861588
-80	-15	2.46290862606389	-1.845214654	0.07160162729	0.4135246191
-80	-20	2.52472582612578	-1.840554715	-0.1518922479	0.4127029461
-80	-25	2.58040496456268	-1.809338924	-0.3768624257	0.4071987600
-80	-30	2.62919622883976	-1.750858739	-0.5995338991	0.3968871255
-80	-35	2.67041161306923	-1.665005977	-0.8159535052	0.3817489671
-80	-40	2.70345703065198	-1.552330410	-1.022109690	0.3618812246
-80	-45	2.72781606842944	-1.414037184	-1.214037184	0.3374963976

-75	45	1.55514104970796	-0.5804289422	1.780428942	0.2895000625
-75	40	1.62334508956990	-0.7181574818	1.722155494	0.3264043135
-75	35	1.69469931839280	-0.8559385084	1.649438365	0.3633226283
-75	30	1.76867912810251	-0.9920754399	1.561450157	0.3998004092
-75	25	1.84469528830683	-1.124642537	1.457583257	0.4353216557
-75	20	1.92209840199578	-1.251513485	1.337498773	0.4693166238
-75	15	2.00019062723332	-1.370404511	1.201173378	0.5011733783
-75	10	2.07823966893547	-1.478927710	1.048938348	0.5302520817
-75	5	2.15548120948011	-1.574640098	0.8815074894	0.5558981388
-75	-2.84217e-14	2.23113123354814	-1.655107280	0.7000000000	0.5774592554
-75	-5	2.30441104332360	-1.717984333	0.5059515150	0.5943071108
-75	-10	2.37451899013346	-1.761048857	0.3013160819	0.6058462151
-75	-15	2.44066350462953	-1.782296481	0.08846050113	0.6115394989
-75	-20	2.50205409840719	-1.779998510	-0.1298515919	0.6109237596
-75	-25	2.55791846208335	-1.752785685	-0.3504912172	0.6036321050
-75	-30	2.60750577422095	-1.699718006	-0.5700077829	0.5894126633
-75	-35	2.65009403727897	-1.620355226	-0.7846887129	0.5681474705
-75	-40	2.68501189348353	-1.514831811	-0.9906446296	0.5398725567
-75	-45	2.71164147953627	-1.383903673	-1.183903673	0.5047904678

-70	45	1.55479130698301	-0.5647072164	1.764707216	0.3875217350
-70	40	1.62165746117735	-0.6966200233	1.704083420	0.4355340702
-70	35	1.69120271845674	-0.8276018887	1.629596850	0.4832075704
-70	30	1.76291728196399	-0.9561075075	1.540684061	0.5299797906
-70	25	1.83625763113900	-1.080447428	1.436974739	0.5752358206
-70	20	1.91065587131774	-1.198814750	1.318318002	0.6183180025
-70	15	1.98552491161889	-1.309310935	1.184803404	0.6585353249
-70	10	2.06026515302923	-1.409975043	1.036780133	0.6951740638
-70	5	2.13426392694642	-1.498808578	0.8748730911	0.7275068262
-70	-2.84217e-14	2.20689648801772	-1.573804345	0.7000000000	0.7548030531
-70	-5	2.27753849801392	-1.632989940	0.5133875608	0.7763448482
-70	-10	2.34553375862133	-1.674434167	0.3165885887	0.7914293130
-70	-15	2.41021455584503	-1.696309664	0.1115005991	0.7993913430
-70	-20	2.47088876188796	-1.696932654	-0.09961809267	0.7996180927
-70	-25	2.52684628256504	-1.674829741	-0.3141397634	0.7915732903
-70	-30	2.57734962950843	-1.628799906	-0.5290631991	0.7748198007
-70	-35	2.62164900877872	-1.558006493	-0.7410316601	0.7490531054
-70	-40	2.65899812928375	-1.462073052	-0.9463747740	0.7141361882
-70	-45	2.68864981165244	-1.341163405	-1.141163405	0.6701286758

-65	45	1.55437670909338	-0.5438306961	1.743830696	0.4867462474
-65	40	1.61950971925917	-0.6683147466	1.680332473	0.5447941135
-65	35	1.68675013993625	-0.7907457834	1.603789927	0.6018846435
-65	30	1.75561462317604	-0.9097906660	1.513943020	0.6573961839
-65	25	1.82562741686597	-1.024065040	1.410683200	0.7106831995
-65	20	1.89631980038364	-1.132142299	1.294051215	0.7610804531
-65	15	1.96723592606812	-1.232565365	1.164239490	0.8079084979
-65	10	2.03792820735798	-1.323848194	1.021593645	0.8504743801
-65	5	2.10795509800083	-1.404478613	0.8666202886	0.8880729622
-65	-2.84217e-14	2.17686917251083	-1.472913482	0.7000000000	0.9199846657
-65	-5	2.24421656900514	-1.527587050	0.5226091188	0.9454793691
-65	-10	2.30950562811447	-1.566896986	0.3355502951	0.9638098930
-65	-15	2.37221992636337	-1.589239032	0.1401900885	0.9742281604
-65	-20	2.43179285504018	-1.593018266	-0.06179634863	0.9759904461
-65	-25	2.48760197358564	-1.576692739	-0.2683777278	0.9683777278
-65	-30	2.53895822370934	-1.538829911	-0.4771189977	0.9507220009
-65	-35	2.58510892633524	-1.478193668	-0.6851461184	0.9224468567
-65	-40	2.62524608369546	-1.393853230	-0.8891315469	0.8831182646
-65	-45	2.65850661574723	-1.285301333	-1.085301333	0.8324996839

-60	45	1.55392945959679	-0.5172856247	1.717285625	0.5873301293
-60	40	1.61693117209141	-0.6327943877	1.650527353	0.6540191447
-60	35	1.68138598300718	-0.7450872370	1.571819469	0.7188514515
-60	30	1.74686075397181	-0.8531125217	1.481219879	0.7812198786
-60	25	1.81296713297849	-0.9558457808	1.378872037	0.8405329534
-60	20	1.87935615836505	-1.052281913	1.264984412	0.8962103805
-60	15	1.94571426466619	-1.141424055	1.139818250	0.9476766203
-60	10	2.01175529790355	-1.222266655	1.003682079	0.9943511167
-60	5	2.07720678384076	-1.293772457	0.8569347550	1.035635011
-60	-2.84217e-14	2.14180240060973	-1.354855289	0.7000000000	1.070901200
-60	-5	2.20526413834512	-1.404356419	0.5333904020	1.099480691
-60	-10	2.26727597521348	-1.441018281	0.3577461071	1.120647427
-60	-15	2.32748183415174	-1.463487004	0.1738852430	1.133619750
-60	-20	2.38546260757264	-1.470307993	-0.01713346181	1.137557850
-60	-25	2.44071843051372	-1.459941559	-0.2139357585	1.131572787
-60	-30	2.49264866943097	-1.430797357	-0.4147463738	1.114746374
-60	-35	2.54054630662294	-1.381306145	-0.6173047442	1.086172609
-60	-40	2.58358235971237	-1.310013715	-0.8187818405	1.045011905
-60	-45	2.62081032645389	-1.215723100	-1.015723100	0.9905731939

-55	45	1.55350231050541	-0.4844346446	1.684434645	0.6893085591
-55	40	1.61396542012268	-0.5895280792	1.614222609	0.7628957742
-55	35	1.67517393933939	-0.6903195941	1.533470753	0.8334707526
-55	30	1.73677277145210	-0.7861018429	1.442531245	0.9005382053
-55	25	1.79848073811734	-0.8762449899	1.341753578	0.9636571164
-55	20	1.86008078823340	-0.9601719478	1.231459126	1.022423405
-55	15	1.92140497987324	-1.037326990	1.111925526	1.076447947
-55	10	1.98232412678182	-1.107146839	0.9833833496	1.125336332
-55	5	2.04272981815592	-1.169025663	0.8460208247	1.168664351
-55	-2.84217e-14	2.10251867108700	-1.222282468	0.7000000000	1.205955167
-55	-5	2.16158077205122	-1.266133607	0.5454833311	1.236660065
-55	-10	2.21977143965919	-1.299654559	0.3826723453	1.260131688
-55	-15	2.27689868041881	-1.321759510	0.2118610104	1.275609742
-55	-20	2.33270815835181	-1.331186601	0.03350258402	1.282210662
-55	-25	2.38684933754262	-1.326480191	-0.1517017006	1.278915198
-55	-30	2.43885634130116	-1.306003460	-0.3426965840	1.264577237
-55	-35	2.48812072143473	-1.267970942	-0.5379465807	1.237946581
-55	-40	2.53386483045202	-1.210517987	-0.7352950122	1.197717589
-55	-45	2.57512079519263	-1.131821278	-0.9318212775	1.142613560

-50	45	1.55317037419733	-0.4445145930	1.644514593	0.7925418466
-50	40	1.61067991304018	-0.5379229052	1.570920727	0.8709207269
-50	35	1.66820675979272	-0.6261443920	1.488534792	0.9449473440
-50	30	1.72550167386624	-0.7088570286	1.397933931	1.014351487
-50	25	1.78240921105079	-0.7858304837	1.299592602	1.078939885
-50	20	1.83884840510241	-0.8568850846	1.193865782	1.138561774
-50	15	1.89479166805089	-0.9218508817	1.080983796	1.193074550
-50	10	1.95025263212398	-0.9805350107	0.9610582683	1.242316381
-50	5	2.00526440330850	-1.032683327	0.8340924159	1.286074014
-50	-2.84217e-14	2.05986889428005	-1.077951120	0.7000000000	1.324058203
-50	-5	2.11410294020603	-1.115871863	0.5586295302	1.355877485
-50	-10	2.16797302329200	-1.145817527	0.4097979647	1.381004880
-50	-15	2.22144688365599	-1.166972820	0.2533359791	1.398756278
-50	-20	2.27443708011593	-1.178305695	0.08914668314	1.408265689
-50	-25	2.32676469638392	-1.178528677	-0.08271077658	1.408452794
-50	-30	2.37813498495595	-1.166080790	-0.2619121925	1.398007776
-50	-35	2.42810451227759	-1.139123126	-0.4477263692	1.375387611
-50	-40	2.47602328271318	-1.095550586	-0.6388259081	1.338825908
-50	-45	2.52100109134941	-1.033072198	-0.8330721982	1.286400316

-45	45	1.55304327917664	-0.3966499553	1.596649955	0.8966499553
-45	40	1.60717602058326	-0.4773565284	1.520099502	0.9773565284
-45	35	1.66061243160898	-0.5523089653	1.436834670	1.052308965
-45	30	1.71323617425856	-0.6215763503	1.347542408	1.121576350
-45	25	1.76502872788042	-0.6852925709	1.252711003	1.185292571
-45	20	1.81604135785908	-0.7436089205	1.152636630	1.243608921
-45	15	1.86637525422948	-0.7966578447	1.047438422	1.296657845
-45	10	1.91616180840957	-0.8445206202	0.9370752615	1.344520620
-45	5	1.96555130524201	-0.8872026870	0.8213645091	1.387202687
-45	-2.84217e-14	2.01470068060574	-0.9246085133	0.7000000000	1.424608513
-45	-5	2.06376267635611	-0.9565161043	0.5725713526	1.456516104
-45	-10	2.11287199389406	-0.9825470121	0.4385869616	1.482547012
-45	-15	2.16213786299112	-1.002137909	0.2975033604	1.502137909
-45	-20	2.21162745239333	-1.014502749	0.1487660797	1.514502749
-45	-25	2.26134044292005	-1.018587196	-0.008128839234	1.518587196
-45	-30	2.31118043836460	-1.013022758	-0.1735440964	1.513022758
-45	-35	2.36091523157666	-0.9960819378	-0.3475678506	1.496081938
-45	-40	2.41011556670813	-0.9656404483	-0.5298183596	1.465640448
-45	-45	2.45808669395284	-0.9191770144	-0.7191770144	1.419177014


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-1
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.74060722654379	-1.437901954	-1.237901954	2.373167047e-16
-40	-90	2.75380070677955	-1.270108974	-1.409533729	2.583348408e-16
-35	-90	2.75753395387732	-1.081656498	-1.558839576	2.766189296e-16
-30	-90	2.75175745895780	-0.8758787295	-1.683091865	2.918349439e-16
-25	-90	2.73654965631959	-0.6565158589	-1.780156263	3.037215118e-16
-20	-90	2.71210711213837	-0.4275952632	-1.848547040	3.120966898e-16
-15	-90	2.67876306050315	-0.1933148974	-1.887486423	3.168652314e-16
-10	-90	2.63695942328219	0.04209680157	-1.896898084	3.180177894e-16
-5	-90	2.58725066763772	0.2745062464	-1.877405398	3.156307026e-16
-2.84217e-14	-90	2.53030494336249	0.5000000000	-1.830304943	3.098627511e-16
5	-90	2.46688400858862	0.7150031080	-1.757496770	3.009466159e-16
10	-90	2.39783985907317	0.9163805219	-1.661411284	2.891799262e-16
15	-90	2.32408844289387	1.101518352	-1.544897050	2.749115191e-16
20	-90	2.24660098178585	1.268382790	-1.411114364	2.585284064e-16
25	-90	2.16639353430592	1.415557470	-1.263419330	2.404415787e-16
30	-90	2.08448850608500	1.542244253	-1.105220000	2.210683882e-16
35	-90	2.00189493459953	1.648239763	-0.9398563281	2.008178479e-16
40	-90	1.91959274550422	1.733890432	-0.7704933557	1.800775507e-16
45	-90	1.83849087542906	1.800009365	-0.6000093652	1.591999729e-16

-45	-85	2.73742169541042	-1.431956048	-1.231956048	0.1690242526
-40	-85	2.75002064324413	-1.263722571	-1.401922710	0.1838944087
-35	-85	2.75320144726993	-1.075131647	-1.549521121	0.1968075965
-30	-85	2.74694191004528	-0.8695455059	-1.672122400	0.2075338185
-25	-85	2.73134627376184	-0.6507051447	-1.767695146	0.2158953503
-20	-85	2.70664017407187	-0.4226127931	-1.834857816	0.2217713225
-15	-85	2.67316618388553	-0.1894089819	-1.872909348	0.2251004002
-10	-85	2.63137295683303	0.04475350940	-1.881831146	0.2258809564
-5	-85	2.58181650871725	0.2758296666	-1.862278636	0.2241703334
-2.84217e-14	-85	2.52515041574287	0.5000000000	-1.815541456	0.2200813600
5	-85	2.46212378745193	0.7137778221	-1.743491688	0.2137778221
10	-85	2.39356097790169	0.9141033039	-1.648496539	0.2054668235
15	-85	2.32035391712027	1.098418774	-1.533329271	0.1953909931
20	-85	2.24344260431199	1.264722576	-1.401058011	0.1838187573
25	-85	2.16381431533927	1.411606225	-1.254945858	0.1710356003
30	-85	2.08246407425162	1.538256144	-1.098312392	0.1573319478
35	-85	2.00037640131632	1.644433575	-0.9344205288	0.1429932677
40	-85	1.91851409553092	1.730436804	-0.7663774821	0.1282914061
45	-85	1.83777595922209	1.797024271	-0.5970242709	0.1134749200

-45	-80	2.72781611576685	-1.414037217	-1.214037217	0.3374964035
-40	-80	2.73865297486570	-1.244529605	-1.379049424	0.3665925077
-35	-80	2.74020102205984	-1.055571929	-1.521586950	0.3917257192
-30	-80	2.73252734602883	-0.8506074128	-1.639320660	0.4124853489
-25	-80	2.71581496616267	-0.6333721382	-1.730524394	0.4285670279
-20	-80	2.69034932561304	-0.4077768805	-1.794096481	0.4397765021
-15	-80	2.65651003505677	-0.1777947689	-1.829564515	0.4460304734
-10	-80	2.61476616582830	0.05264522680	-1.837074992	0.4473547732
-5	-80	2.56566967719348	0.2797591106	-1.817364885	0.4438793496
-2.84217e-14	-80	2.50984112393190	0.5000000000	-1.771710998	0.4358293374
5	-80	2.44797732622435	0.7101380035	-1.701888371	0.4235177244
10	-80	2.38083909984170	0.9073326898	-1.610098478	0.4073326898
15	-80	2.30923666036005	1.089189767	-1.498886146	0.3877229550
20	-80	2.23402978634260	1.253805675	-1.371064072	0.3651844746
25	-80	2.15611227500734	1.399795314	-1.229617277	0.3402435884
30	-80	2.07640548355835	1.526305791	-1.077613773	0.3134412695
35	-80	1.99582245791508	1.632999136	-0.9180904580	0.2853130050
40	-80	1.91527016015517	1.720032449	-0.7539780541	0.2563755603
45	-80	1.83562101814777	1.788007254	-0.5880072544	0.2271104303

-45	-75	2.71164155301276	-1.383903724	-1.183903724	0.5047904814
-40	-75	2.71960669592889	-1.212427593	-1.340791737	0.5468284977
-35	-75	2.71852788739267	-1.023028094	-1.475109536	0.5828188437
-30	-75	2.70861113499115	-0.8192520057	-1.585011502	0.6122669866
-25	-75	2.69015120203353	-0.6047968309	-1.669244450	0.6348371369
-20	-75	2.66352347483269	-0.3834058373	-1.727137590	0.6503495572
-15	-75	2.62916354669416	-0.1587705985	-1.758565344	0.6587705985
-10	-75	2.58755960183861	0.06554636763	-1.763908987	0.6602024232
-5	-75	2.53924855851471	0.2861764561	-1.744014290	0.6548716553
-2.84217e-14	-75	2.48480185131356	0.5000000000	-1.700134281	0.6431140424
5	-75	2.42483235229306	0.7041888515	-1.633889252	0.6253637404
10	-75	2.35999918704315	0.8962460298	-1.547222905	0.6021415626
15	-75	2.29098877088159	1.074036577	-1.442333672	0.5740365774
20	-75	2.21853171266880	1.235816254	-1.321638542	0.5416964148
25	-75	2.14339000785501	1.380251819	-1.187706117	0.5058093296
30	-75	2.06635288005047	1.506434680	-1.043196001	0.4670879606
35	-75	1.98822919449464	1.613885546	-0.8907934223	0.4262518128
40	-75	1.90983875332179	1.702549098	-0.7331422083	0.3840092973
45	-75	1.83199668760838	1.772773453	-0.5727734527	0.3410386188

-45	-70	2.68864988003904	-1.341163452	-1.141163452	0.6701286929
-40	-70	2.69274321850983	-1.167268758	-1.286973532	0.7231992218
-35	-70	2.68818621757121	-0.9776049100	-1.410238507	0.7680640037
-30	-70	2.67535566851750	-0.7757994332	-1.509749439	0.8042830209
-25	-70	2.65468644871270	-0.5654479085	-1.584860413	0.8316211799
-20	-70	2.62664896862447	-0.3500245219	-1.635423180	0.8500245219
-15	-70	2.59173446136044	-0.1328209138	-1.661719802	0.8595957097
-10	-70	2.55043862969820	0.08309392437	-1.664391847	0.8605682545
-5	-70	2.50326357425578	0.2948925465	-1.644388921	0.8532877847
-2.84217e-14	-70	2.45071725952949	0.5000000000	-1.602920924	0.8381946684
5	-70	2.39330966141363	0.6960982675	-1.541413454	0.8158077799
10	-70	2.33156180634601	0.8811274937	-1.461481426	0.7867149010
15	-70	2.26601502664578	1.053290363	-1.364907745	0.7515649555
20	-70	2.19723297510192	1.211058817	-1.253618044	0.7110588173
25	-70	2.12581043589157	1.353185612	-1.129662450	0.6659426705
30	-70	2.05237851325249	1.478719717	-0.9951922770	0.6169995302
35	-70	1.97760344022178	1.587021626	-0.8524277685	0.5650374986
40	-70	1.90218463878029	1.677777739	-0.7036208517	0.5108762102
45	-70	1.82685329028241	1.751012835	-0.5510128354	0.4553314348

-45	-65	2.65850672211308	-1.285301405	-1.085301405	0.8324997172
-40	-65	2.65788882429462	-1.108891069	-1.217401712	0.8940991020
-35	-65	2.64920351583818	-0.9194891091	-1.327240542	0.9453177896
-30	-65	2.63301436997025	-0.7207255744	-1.414358717	0.9859416618
-25	-65	2.60989084699586	-0.5159825386	-1.478781585	1.015982539
-20	-65	2.58038649755577	-0.3083455825	-1.520911235	1.035627917
-15	-65	2.54502670978039	-0.1005898362	-1.541431783	1.045196806
-10	-65	2.50429695955838	0.1048114034	-1.541225903	1.045100802
-5	-65	2.45864521475400	0.3056599139	-1.521317349	1.035817291
-2.84217e-14	-65	2.40849047304962	0.5000000000	-1.482833671	1.017872057
5	-65	2.35422192603647	0.6860860969	-1.426973821	0.9918241814
10	-65	2.29621775297654	0.8623528223	-1.355004973	0.9582645566
15	-65	2.23485274527994	1.027393225	-1.268258311	0.9178139238
20	-65	2.17051387487831	1.179946707	-1.168138225	0.8711271606
25	-65	2.10360894528741	1.318896299	-1.056128781	0.8188962994
30	-65	2.03459169264599	1.443283159	-0.9338143574	0.7618601468
35	-65	1.96395926360679	1.552323375	-0.8028735308	0.7008014366
40	-65	1.89226423969376	1.645438067	-0.6650799309	0.6365472258
45	-65	1.82012218147494	1.722290190	-0.5222901904	0.5699632763

-45	-60	2.62081048357175	-1.215723203	-1.015723203	0.9905732533
-40	-60	2.61486505758293	-1.037171652	-1.131929839	1.057665186
-35	-60	2.60166441298070	-0.8489952398	-1.226564863	1.112302742
-30	-60	2.58194252830700	-0.6546798015	-1.299964083	1.154679801
-25	-60	2.55637425946842	-0.4572434979	-1.352815306	1.185193469
-20	-60	2.52556005593258	-0.2592504784	-1.386023545	1.204366255
-15	-60	2.49002423709130	-0.06285659337	-1.400609404	1.212787405
-10	-60	2.45021107058716	0.1301313618	-1.397629283	1.211066831
-5	-60	2.40649146743014	0.3181875046	-1.378126331	1.199806797
-2.84217e-14	-60	2.35917724688779	0.5000000000	-1.343107428	1.179588623
5	-60	2.30853146274038	0.6744115330	-1.293532944	1.150966782
10	-60	2.25478646871392	0.8403685546	-1.230325996	1.114474233
15	-60	2.19815482225905	0.9968810811	-1.154385440	1.070629933
20	-60	2.13884760472648	1.142994437	-1.066612697	1.019954316
25	-60	2.07708918132377	1.277773484	-0.9679406184	0.9629859650
30	-60	2.01314457578668	1.400305624	-0.8593750831	0.9003056240
35	-60	1.94733158328099	1.509715559	-0.7420232624	0.8325525187
40	-60	1.88003435547872	1.605194897	-0.6171199884	0.7604395799
45	-60	1.81172358513421	1.686051495	-0.4860514953	0.6847671501

-45	-55	2.57512076600317	-1.131821259	-0.9318212590	1.142613547
-40	-55	2.56352151195974	-0.9520938905	-1.030538111	1.211735830
-35	-55	2.54573550856203	-0.7666124040	-1.108909980	1.266612404
-30	-55	2.52261490438475	-0.5785063060	-1.168027718	1.308007090
-25	-55	2.49488335727866	-0.3902515818	-1.209150678	1.336801696
-20	-55	2.46313344470127	-0.2037623074	-1.233571048	1.353901024
-15	-55	2.42784075800947	-0.02049910906	-1.242529120	1.360173533
-10	-55	2.38937487221761	0.1584266691	-1.237158621	1.356413069
-5	-55	2.34800641634040	0.3321570331	-1.218453890	1.343315876
-2.84217e-14	-55	2.30393202210478	0.5000000000	-1.187270626	1.321481119
5	-55	2.25729278376433	0.6613584679	-1.144335727	1.291417779
10	-55	2.20818143181344	0.8156708039	-1.090258091	1.253552211
15	-55	2.15666195918453	0.9623617198	-1.025557430	1.208248320
20	-55	2.10278953263638	1.100805456	-0.9506994251	1.155832181
25	-55	2.04662091798607	1.230297673	-0.8661284132	1.096614921
30	-55	1.98824228978861	1.350043280	-0.7723181495	1.030928267
35	-55	1.92778905403159	1.459157587	-0.6698189963	0.9591575872
40	-55	1.86546599789749	1.556683849	-0.5593067734	0.8817760956
45	-55	1.80157518313323	1.641635267	-0.4416352671	0.7993816199

-45	-50	2.52100080642490	-1.033072025	-0.8330720249	1.286400171
-40	-50	2.50378543561764	-0.8538373540	-0.9134405304	1.353837354
-35	-50	2.48170454853419	-0.6730622535	-0.9753065192	1.405749082
-30	-50	2.45564449590353	-0.4932633749	-1.020382631	1.443572431
-25	-50	2.42629781270809	-0.3161931665	-1.050331894	1.468702847
-20	-50	2.39418305088005	-0.1430139003	-1.066666171	1.482408933
-15	-50	2.35968100427471	0.02554138780	-1.070703647	1.485796777
-10	-50	2.32304930313349	0.1890396566	-1.063543742	1.479788904
-5	-50	2.28444787599748	0.3472385317	-1.046071573	1.465128013
-2.84217e-14	-50	2.24395816556408	0.5000000000	-1.018971683	1.442388505
5	-50	2.20160520880551	0.6472217633	-0.9827524543	1.411996964
10	-50	2.15736285361443	0.7887817718	-0.9377628124	1.374246172
15	-50	2.11117352714766	0.9244914715	-0.8842237391	1.329321555
20	-50	2.06295942498898	1.054056042	-0.8222564656	1.277324839
25	-50	2.01264050786291	1.177041137	-0.7519194031	1.218305036
30	-50	1.96014473073990	1.292842764	-0.6732439503	1.152288492
35	-50	1.90543929284730	1.400670836	-0.5862912594	1.079326521
40	-50	1.84855311037578	1.499542619	-0.4912085071	0.9995426190
45	-50	1.78960263441678	1.588293874	-0.3882938742	0.9131869885

-45	-45	2.45808654484782	-0.9191769284	-0.7191769284	1.419176928
-40	-45	2.43572294219647	-0.7428851274	-0.7812128158	1.481212816
-35	-45	2.41002780000617	-0.5693597163	-0.8272039474	1.527203947
-30	-45	2.38180519095384	-0.4002377438	-0.8592575112	1.559257511
-25	-45	2.35162721466272	-0.2364017457	-0.8792186400	1.579218640
-20	-45	2.31987653199382	-0.07821430732	-0.8886307530	1.588630753
-15	-45	2.28679577469170	0.07429744401	-0.8887435679	1.588743568
-10	-45	2.25251365582796	0.2213099324	-0.8805299137	1.580529914
-5	-45	2.21707286021393	0.3631050949	-0.8647159251	1.564715925
-2.84217e-14	-45	2.18044947984185	0.5000000000	-0.8418106132	1.541810613
5	-45	2.14256639072692	0.6322944446	-0.8121324212	1.512132421
10	-45	2.10330570219115	0.7602294582	-0.7758345954	1.475834595
15	-45	2.06251740780542	0.8839516156	-0.7329269371	1.432926937
20	-45	2.02002674229405	1.003478675	-0.6832962920	1.383296292
25	-45	1.97564380800193	1.118664191	-0.6267296398	1.326729640
30	-45	1.92918010405151	1.229161541	-0.5629448366	1.262944837
35	-45	1.88045669928693	1.334382343	-0.4916214801	1.191621480
40	-45	1.82933804863412	1.433462922	-0.4124577903	1.112457790
45	-45	1.77575834112713	1.525234556	-0.3252345563	1.025234556