path: root/test/recover2/h.t2.ah2.gp

# N_patches = 5
# origin = 0 0 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	1.86338407450618	-1.075825297	-1.075825297	1.075825297
-40	-45	1.85977403351066	-0.9489936013	-1.130966534	1.130966534
-35	-45	1.85663472569950	-0.8238122330	-1.176525799	1.176525799
-30	-45	1.85396392723581	-0.7007324987	-1.213704290	1.213704290
-25	-45	1.85174826198128	-0.5798668446	-1.243528461	1.243528461
-20	-45	1.84996698710866	-0.4610923751	-1.266840889	1.266840889
-15	-45	1.84860052917144	-0.3441295366	-1.284308915	1.284308915
-10	-45	1.84763131910966	-0.2285963931	-1.296434568	1.296434568
-5	-45	1.84704675609212	-0.1140473527	-1.303567206	1.303567206
0	-45	1.84683872919875	0.000000000	-1.305912189	1.305912189
5	-45	1.84700629821872	0.1140448546	-1.303538652	1.303538652
10	-45	1.84755321643850	0.2285867300	-1.296379766	1.296379766
15	-45	1.84849073562048	0.3441090978	-1.284232636	1.284232636
20	-45	1.84983467368504	0.4610593968	-1.266750282	1.266750282
25	-45	1.85160534554668	0.5798220910	-1.243432487	1.243432487
30	-45	1.85382660879841	0.7006805972	-1.213614394	1.213614394
35	-45	1.85652069429419	0.8237616359	-1.176453538	1.176453538
40	-45	1.85970549083907	0.9489586257	-1.130924851	1.130924851
45	-45	1.86338407335912	1.075825296	-1.075825296	1.075825296

-45	-40	1.85970549135094	-1.130924852	-0.9489586260	1.130924852
-40	-40	1.85522820909427	-1.003151953	-1.003151953	1.195509944
-35	-40	1.85125402687834	-0.8750583231	-1.048633549	1.249712800
-30	-40	1.84781428546337	-0.7474071497	-1.086254042	1.294547157
-25	-40	1.84491955011765	-0.6206207340	-1.116779062	1.330925459
-20	-40	1.84256667244733	-0.4948644099	-1.140864018	1.359628792
-15	-40	1.84074754303340	-0.3701171994	-1.159045126	1.381296193
-10	-40	1.83945194977038	-0.2462266338	-1.171736037	1.396420632
-5	-40	1.83867180023273	-0.1229523365	-1.179230040	1.405351637
0	-40	1.83840133063409	0.000000000	-1.181701597	1.408297124
5	-40	1.83864054564745	0.1229502465	-1.179209995	1.405327748
10	-40	1.83939249287280	0.2462186749	-1.171698163	1.396375495
15	-40	1.84066587241123	0.3701007779	-1.158993701	1.381234907
20	-40	1.84247239846176	0.4948390904	-1.140805646	1.359559227
25	-40	1.84482387945157	0.6205885510	-1.116721150	1.330856442
30	-40	1.84773297194859	0.7473742598	-1.086206241	1.294490190
35	-40	1.85120405350914	0.8750347015	-1.048605242	1.249679065
40	-40	1.85522820858527	1.003151953	-1.003151953	1.195509944
45	-40	1.85977403303049	1.130966533	-0.9489936010	1.130966533

-45	-35	1.85652069461174	-1.176453539	-0.8237616360	1.176453539
-40	-35	1.85120405387108	-1.048605243	-0.8750347016	1.249679065
-35	-35	1.84639895972297	-0.9186625308	-0.9186625308	1.311986062
-30	-35	1.84217405979529	-0.7875939910	-0.9551900795	1.364152808
-25	-35	1.83856984415558	-0.6560586118	-0.9851375534	1.406922233
-20	-35	1.83560889596082	-0.5244670584	-1.008972035	1.440961400
-15	-35	1.83330095588091	-0.3930371096	-1.027088548	1.466834462
-10	-35	1.83164919220337	-0.2618435989	-1.039800381	1.484988842
-5	-35	1.83065383886020	-0.1308609591	-1.047333750	1.495747607
0	-35	1.83031402001850	0.000000000	-1.049824993	1.499305471
5	-35	1.83063131355476	0.1308593489	-1.047320863	1.495729203
10	-35	1.83160722942770	0.2618376001	-1.039776560	1.484954821
15	-35	1.83324516624011	0.3930251490	-1.027057292	1.466789825
20	-35	1.83554848161164	0.5244497969	-1.008938827	1.440913975
25	-35	1.83851541807370	0.6560391909	-0.9851083910	1.406880585
30	-35	1.84213914443857	0.7875790634	-0.9551719755	1.364126953
35	-35	1.84639895941448	0.9186625306	-0.9186625306	1.311986062
40	-35	1.85125402654052	1.048633549	-0.8750583229	1.249712800
45	-35	1.85663472542617	1.176525798	-0.8238122329	1.176525798

-45	-30	1.85382660903264	-1.213614394	-0.7006805973	1.213614394
-40	-30	1.84773297221160	-1.086206241	-0.7473742599	1.294490190
-35	-30	1.84213914468657	-0.9551719756	-0.7875790636	1.364126953
-30	-30	1.83715094732438	-0.8215988806	-0.8215988806	1.423051005
-25	-30	1.83284419250499	-0.6863150728	-0.8497484120	1.471807423
-20	-30	1.82927108217541	-0.5499275066	-0.8723262620	1.510913407
-15	-30	1.82646404870490	-0.4128623798	-0.8895947921	1.540823378
-10	-30	1.82444466180780	-0.2754068295	-0.9017690118	1.561909745
-5	-30	1.82322534748712	-0.1377462395	-0.9090072389	1.574446722
0	-30	1.82281260812737	0.000000000	-0.9114063041	1.578602025
5	-30	1.82321026300631	0.1377450999	-0.9089997182	1.574433696
10	-30	1.82441740570945	0.2754027151	-0.9017555399	1.561886411
15	-30	1.82642967024741	0.4128546088	-0.8895780478	1.540794376
20	-30	1.82923786821977	0.5499175216	-0.8723104232	1.510885973
25	-30	1.83282210743817	0.6863068030	-0.8497381729	1.471789689
30	-30	1.83715094712051	0.8215988805	-0.8215988805	1.423051005
35	-30	1.84217405956599	0.9551900794	-0.7875939909	1.364152808
40	-30	1.84781428523827	1.086254042	-0.7474071496	1.294547157
45	-30	1.85396392705374	1.213704290	-0.7007324987	1.213704290

-45	-25	1.85160534573084	-1.243432487	-0.5798220911	1.243432487
-40	-25	1.84482387965214	-1.116721150	-0.6205885510	1.330856442
-35	-25	1.83851541826858	-0.9851083911	-0.6560391910	1.406880585
-30	-25	1.83282210760753	-0.8497381729	-0.6863068030	1.471789689
-25	-25	1.82785503209129	-0.7115503692	-0.7115503692	1.525924691
-20	-25	1.82369701368237	-0.5713010149	-0.7319335848	1.569636638
-15	-25	1.82040820692898	-0.4295902525	-0.7476089881	1.603252649
-10	-25	1.81803094087622	-0.2868929315	-0.7587061860	1.627050666
-5	-25	1.81659208103455	-0.1435899166	-0.7653229008	1.641240257
0	-25	1.81610727983723	0.000000000	-0.7675201017	1.645952170
5	-25	1.81658313738405	0.1435892097	-0.7653191329	1.641232177
10	-25	1.81801558160294	0.2868905077	-0.7586997762	1.627036921
15	-25	1.82039047003080	0.4295860668	-0.7476017038	1.603237028
20	-25	1.82368380477457	0.5712968770	-0.7319282835	1.569625269
25	-25	1.82785503195632	0.7115503691	-0.7115503691	1.525924691
30	-25	1.83284419235024	0.8497484119	-0.6863150727	1.471807423
35	-25	1.83856984399226	0.9851375533	-0.6560586118	1.406922233
40	-25	1.84491954996423	1.116779062	-0.6206207340	1.330925459
45	-25	1.85174826185564	1.243528461	-0.5798668446	1.243528461

-45	-20	1.84983467383214	-1.266750282	-0.4610593968	1.266750282
-40	-20	1.84247239861819	-1.140805646	-0.4948390904	1.359559227
-35	-20	1.83554848176406	-1.008938827	-0.5244497970	1.440913975
-30	-20	1.82923786835558	-0.8723104233	-0.5499175216	1.510885973
-25	-20	1.82368380488601	-0.7319282835	-0.5712968770	1.569625269
-20	-20	1.81900027964306	-0.5886568253	-0.5886568253	1.617321335
-15	-20	1.81527424816066	-0.4432334893	-0.6020686066	1.654169902
-10	-20	1.81256945621694	-0.2962906890	-0.6115966544	1.680347998
-5	-20	1.81092830886870	-0.1483802575	-0.6172913715	1.695994104
0	-20	1.81037654250608	0.000000000	-0.6191852445	1.701197478
5	-20	1.81092377751983	0.1483798863	-0.6172898268	1.695989861
10	-20	1.81256248573577	0.2962895496	-0.6115943024	1.680341536
15	-20	1.81526802277923	0.4432319692	-0.6020665418	1.654164229
20	-20	1.81900027955818	0.5886568252	-0.5886568252	1.617321335
25	-20	1.82369701358215	0.7319335848	-0.5713010148	1.569636638
30	-20	1.82927108206518	0.8723262620	-0.5499275065	1.510913406
35	-20	1.83560889584931	1.008972035	-0.5244670584	1.440961400
40	-20	1.84256667234518	1.140864018	-0.4948644098	1.359628792
45	-20	1.84996698702537	1.266840889	-0.4610923751	1.266840889

-45	-15	1.84849073573650	-1.284232636	-0.3441090978	1.284232636
-40	-15	1.84066587253211	-1.158993701	-0.3701007780	1.381234907
-35	-15	1.83324516635735	-1.027057292	-0.3930251490	1.466789825
-30	-15	1.82642967035265	-0.8895780478	-0.4128546088	1.540794376
-25	-15	1.82039047011858	-0.7476017039	-0.4295860669	1.603237028
-20	-15	1.81526802284699	-0.6020665418	-0.4432319692	1.654164229
-15	-15	1.81117351581811	-0.4538127202	-0.4538127202	1.693652129
-10	-15	1.80819057633656	-0.3035968576	-0.4613504552	1.721783339
-5	-15	1.80637653668681	-0.1521102892	-0.4658641190	1.738628561
0	-15	1.80576701918695	0.000000000	-0.4673668956	1.744237000
5	-15	1.80637465226159	0.1521101305	-0.4658636330	1.738626748
10	-15	1.80818840911999	0.3035964937	-0.4613499022	1.721781275
15	-15	1.81117351576983	0.4538127202	-0.4538127202	1.693652129
20	-15	1.81527424810176	0.6020686065	-0.4432334892	1.654169901
25	-15	1.82040820686160	0.7476089880	-0.4295902525	1.603252649
30	-15	1.82646404863367	0.8895947921	-0.4128623798	1.540823378
35	-15	1.83330095581139	1.027088548	-0.3930371096	1.466834462
40	-15	1.84074754297198	1.159045126	-0.3701171993	1.381296193
45	-15	1.84860052912369	1.284308915	-0.3441295366	1.284308915

-45	-10	1.84755321652678	-1.296379766	-0.2285867300	1.296379766
-40	-10	1.83939249296269	-1.171698163	-0.2462186749	1.396375495
-35	-10	1.83160722951368	-1.039776560	-0.2618376001	1.484954821
-30	-10	1.82441740578615	-0.9017555399	-0.2754027151	1.561886411
-25	-10	1.81801558166665	-0.7586997762	-0.2868905077	1.627036921
-20	-10	1.81256248578520	-0.6115943024	-0.2962895496	1.680341536
-15	-10	1.80818840915525	-0.4613499022	-0.3035964937	1.721781275
-10	-10	1.80499332337031	-0.3088124626	-0.3088124626	1.751362505
-5	-10	1.80304712290522	-0.1547762386	-0.3119401501	1.769100502
0	-10	1.80239320242062	0.000000000	-0.3129822950	1.775010800
5	-10	1.80304659498242	0.1547761932	-0.3119400588	1.769099984
10	-10	1.80499332334848	0.3088124626	-0.3088124626	1.751362505
15	-10	1.80819057630747	0.4613504552	-0.3035968576	1.721783339
20	-10	1.81256945618246	0.6115966544	-0.2962906890	1.680347998
25	-10	1.81803094083895	0.7587061860	-0.2868929315	1.627050666
30	-10	1.82444466177069	0.9017690117	-0.2754068295	1.561909745
35	-10	1.83164919216972	1.039800381	-0.2618435989	1.484988842
40	-10	1.83945194974385	1.171736037	-0.2462266338	1.396420632
45	-10	1.84763131909344	1.296434568	-0.2285963931	1.296434568

-45	-5	1.84700629828123	-1.303538652	-0.1140448546	1.303538652
-40	-5	1.83864054570881	-1.179209995	-0.1229502465	1.405327748
-35	-5	1.83063131361141	-1.047320863	-0.1308593489	1.495729203
-30	-5	1.82321026305543	-0.9089997182	-0.1377450999	1.574433696
-25	-5	1.81658313742358	-0.7653191329	-0.1435892097	1.641232177
-20	-5	1.81092377755013	-0.6172898269	-0.1483798863	1.695989861
-15	-5	1.80637465228271	-0.4658636330	-0.1521101305	1.738626748
-10	-5	1.80304659499536	-0.3119400588	-0.1547761932	1.769099984
-5	-5	1.80101742873211	-0.1563762088	-0.1563762088	1.787388246
0	-5	1.80033553301451	0.000000000	-0.1569095806	1.793484713
5	-5	1.80101742872631	0.1563762088	-0.1563762088	1.787388246
10	-5	1.80304712289578	0.3119401501	-0.1547762386	1.769100502
15	-5	1.80637653667574	0.4658641190	-0.1521102892	1.738628561
20	-5	1.81092830885777	0.6172913714	-0.1483802575	1.695994104
25	-5	1.81659208102479	0.7653229008	-0.1435899166	1.641240257
30	-5	1.82322534748063	0.9090072389	-0.1377462395	1.574446722
35	-5	1.83065383885857	1.047333750	-0.1308609591	1.495747607
40	-5	1.83867180023739	1.179230040	-0.1229523365	1.405351637
45	-5	1.84704675610401	1.303567206	-0.1140473527	1.303567206

-45	0	1.84683872923622	-1.305912189	0.000000000	1.305912189
-40	0	1.83840133066760	-1.181701597	0.000000000	1.408297124
-35	0	1.83031402004648	-1.049824993	0.000000000	1.499305471
-30	0	1.82281260814919	-0.9114063041	0.000000000	1.578602025
-25	0	1.81610727985270	-0.7675201017	0.000000000	1.645952170
-20	0	1.81037654251630	-0.6191852445	0.000000000	1.701197478
-15	0	1.80576701919263	-0.4673668956	0.000000000	1.744237000
-10	0	1.80239320242279	-0.3129822950	0.000000000	1.775010800
-5	0	1.80033553301492	-0.1569095806	0.000000000	1.793484713
0	0	1.79964402065139	0.000000000	0.000000000	1.799644021
5	0	1.80033553301493	0.1569095806	0.000000000	1.793484713
10	0	1.80239320242281	0.3129822950	0.000000000	1.775010800
15	0	1.80576701919265	0.4673668956	0.000000000	1.744237000
20	0	1.81037654251634	0.6191852445	0.000000000	1.701197478
25	0	1.81610727985274	0.7675201017	0.000000000	1.645952170
30	0	1.82281260814924	0.9114063041	0.000000000	1.578602025
35	0	1.83031402004653	1.049824993	0.000000000	1.499305471
40	0	1.83840133066765	1.181701597	0.000000000	1.408297124
45	0	1.84683872923627	1.305912189	0.000000000	1.305912189

-45	5	1.84704675610397	-1.303567206	0.1140473527	1.303567206
-40	5	1.83867180023735	-1.179230040	0.1229523365	1.405351637
-35	5	1.83065383885855	-1.047333750	0.1308609591	1.495747607
-30	5	1.82322534748061	-0.9090072389	0.1377462395	1.574446722
-25	5	1.81659208102479	-0.7653229008	0.1435899166	1.641240257
-20	5	1.81092830885778	-0.6172913714	0.1483802575	1.695994104
-15	5	1.80637653667577	-0.4658641190	0.1521102892	1.738628561
-10	5	1.80304712289581	-0.3119401501	0.1547762386	1.769100502
-5	5	1.80101742872630	-0.1563762088	0.1563762088	1.787388246
0	5	1.80033553301426	0.000000000	0.1569095806	1.793484713
5	5	1.80101742873212	0.1563762088	0.1563762088	1.787388246
10	5	1.80304659499543	0.3119400588	0.1547761932	1.769099984
15	5	1.80637465228279	0.4658636330	0.1521101305	1.738626748
20	5	1.81092377755021	0.6172898269	0.1483798863	1.695989861
25	5	1.81658313742365	0.7653191329	0.1435892097	1.641232177
30	5	1.82321026305550	0.9089997182	0.1377450999	1.574433696
35	5	1.83063131361148	1.047320863	0.1308593489	1.495729203
40	5	1.83864054570888	1.179209995	0.1229502465	1.405327748
45	5	1.84700629828130	1.303538652	0.1140448546	1.303538652

-45	10	1.84763131909342	-1.296434568	0.2285963931	1.296434568
-40	10	1.83945194974384	-1.171736037	0.2462266338	1.396420632
-35	10	1.83164919216971	-1.039800381	0.2618435989	1.484988842
-30	10	1.82444466177071	-0.9017690117	0.2754068295	1.561909745
-25	10	1.81803094083898	-0.7587061860	0.2868929315	1.627050666
-20	10	1.81256945618251	-0.6115966544	0.2962906890	1.680347998
-15	10	1.80819057630756	-0.4613504552	0.3035968576	1.721783339
-10	10	1.80499332334860	-0.3088124626	0.3088124626	1.751362505
-5	10	1.80304659498260	-0.1547761932	0.3119400588	1.769099984
0	10	1.80239320242087	0.000000000	0.3129822950	1.775010800
5	10	1.80304712290542	0.1547762386	0.3119401501	1.769100502
10	10	1.80499332337048	0.3088124626	0.3088124626	1.751362505
15	10	1.80818840915540	0.4613499022	0.3035964937	1.721781275
20	10	1.81256248578532	0.6115943024	0.2962895496	1.680341536
25	10	1.81801558166676	0.7586997762	0.2868905077	1.627036921
30	10	1.82441740578626	0.9017555399	0.2754027151	1.561886411
35	10	1.83160722951378	1.039776560	0.2618376001	1.484954821
40	10	1.83939249296278	1.171698163	0.2462186749	1.396375495
45	10	1.84755321652686	1.296379766	0.2285867300	1.296379766

-45	15	1.84860052912368	-1.284308915	0.3441295366	1.284308915
-40	15	1.84074754297198	-1.159045126	0.3701171993	1.381296193
-35	15	1.83330095581141	-1.027088548	0.3930371096	1.466834462
-30	15	1.82646404863371	-0.8895947921	0.4128623798	1.540823378
-25	15	1.82040820686167	-0.7476089880	0.4295902525	1.603252649
-20	15	1.81527424810185	-0.6020686065	0.4432334892	1.654169901
-15	15	1.81117351576997	-0.4538127202	0.4538127202	1.693652129
-10	15	1.80818840912021	-0.3035964937	0.4613499022	1.721781275
-5	15	1.80637465226195	-0.1521101305	0.4658636330	1.738626748
0	15	1.80576701918766	0.000000000	0.4673668956	1.744237000
5	15	1.80637653668719	0.1521102892	0.4658641190	1.738628561
10	15	1.80819057633681	0.3035968576	0.4613504552	1.721783339
15	15	1.81117351581830	0.4538127202	0.4538127202	1.693652129
20	15	1.81526802284715	0.6020665418	0.4432319692	1.654164229
25	15	1.82039047011873	0.7476017039	0.4295860669	1.603237028
30	15	1.82642967035278	0.8895780478	0.4128546088	1.540794376
35	15	1.83324516635746	1.027057292	0.3930251490	1.466789825
40	15	1.84066587253222	1.158993701	0.3701007780	1.381234907
45	15	1.84849073573659	1.284232636	0.3441090978	1.284232636

-45	20	1.84996698702538	-1.266840889	0.4610923751	1.266840889
-40	20	1.84256667234520	-1.140864018	0.4948644098	1.359628792
-35	20	1.83560889584935	-1.008972035	0.5244670584	1.440961400
-30	20	1.82927108206525	-0.8723262620	0.5499275065	1.510913406
-25	20	1.82369701358224	-0.7319335848	0.5713010148	1.569636638
-20	20	1.81900027955831	-0.5886568252	0.5886568252	1.617321335
-15	20	1.81526802277941	-0.4432319692	0.6020665418	1.654164229
-10	20	1.81256248573601	-0.2962895496	0.6115943024	1.680341536
-5	20	1.81092377752012	-0.1483798863	0.6172898268	1.695989861
0	20	1.81037654250634	0.000000000	0.6191852445	1.701197478
5	20	1.81092830886901	0.1483802575	0.6172913715	1.695994104
10	20	1.81256945621721	0.2962906890	0.6115966544	1.680347998
15	20	1.81527424816090	0.4432334893	0.6020686066	1.654169902
20	20	1.81900027964327	0.5886568253	0.5886568253	1.617321335
25	20	1.82368380488619	0.7319282835	0.5712968770	1.569625269
30	20	1.82923786835573	0.8723104233	0.5499175216	1.510885973
35	20	1.83554848176420	1.008938827	0.5244497970	1.440913975
40	20	1.84247239861832	1.140805646	0.4948390904	1.359559227
45	20	1.84983467383226	1.266750282	0.4610593968	1.266750282

-45	25	1.85174826185566	-1.243528461	0.5798668446	1.243528461
-40	25	1.84491954996427	-1.116779062	0.6206207340	1.330925459
-35	25	1.83856984399232	-0.9851375533	0.6560586118	1.406922233
-30	25	1.83284419235033	-0.8497484119	0.6863150727	1.471807423
-25	25	1.82785503195644	-0.7115503691	0.7115503691	1.525924691
-20	25	1.82368380477473	-0.5712968770	0.7319282835	1.569625269
-15	25	1.82039047003100	-0.4295860668	0.7476017038	1.603237028
-10	25	1.81801558160319	-0.2868905077	0.7586997762	1.627036921
-5	25	1.81658313738434	-0.1435892097	0.7653191329	1.641232177
0	25	1.81610727983751	0.000000000	0.7675201017	1.645952170
5	25	1.81659208103485	0.1435899166	0.7653229008	1.641240257
10	25	1.81803094087651	0.2868929315	0.7587061860	1.627050666
15	25	1.82040820692924	0.4295902525	0.7476089881	1.603252649
20	25	1.82369701368260	0.5713010149	0.7319335848	1.569636638
25	25	1.82785503209149	0.7115503692	0.7115503692	1.525924691
30	25	1.83282210760771	0.8497381729	0.6863068030	1.471789689
35	25	1.83851541826873	0.9851083911	0.6560391910	1.406880585
40	25	1.84482387965228	1.116721150	0.6205885510	1.330856442
45	25	1.85160534573097	1.243432487	0.5798220911	1.243432487

-45	30	1.85396392705378	-1.213704290	0.7007324987	1.213704290
-40	30	1.84781428523832	-1.086254042	0.7474071496	1.294547157
-35	30	1.84217405956607	-0.9551900794	0.7875939909	1.364152808
-30	30	1.83715094712062	-0.8215988805	0.8215988805	1.423051005
-25	30	1.83282210743832	-0.6863068030	0.8497381729	1.471789689
-20	30	1.82923786821996	-0.5499175216	0.8723104232	1.510885973
-15	30	1.82642967024764	-0.4128546088	0.8895780478	1.540794376
-10	30	1.82441740570973	-0.2754027151	0.9017555399	1.561886411
-5	30	1.82321026300664	-0.1377450999	0.9089997182	1.574433696
0	30	1.82281260812772	0.000000000	0.9114063041	1.578602025
5	30	1.82322534748747	0.1377462395	0.9090072389	1.574446722
10	30	1.82444466180812	0.2754068295	0.9017690118	1.561909745
15	30	1.82646404870519	0.4128623798	0.8895947921	1.540823378
20	30	1.82927108217566	0.5499275066	0.8723262620	1.510913407
25	30	1.83284419250522	0.6863150728	0.8497484120	1.471807423
30	30	1.83715094732458	0.8215988806	0.8215988806	1.423051005
35	30	1.84213914468674	0.9551719756	0.7875790636	1.364126953
40	30	1.84773297221175	1.086206241	0.7473742599	1.294490190
45	30	1.85382660903278	1.213614394	0.7006805973	1.213614394

-45	35	1.85663472542622	-1.176525798	0.8238122329	1.176525798
-40	35	1.85125402654060	-1.048633549	0.8750583229	1.249712800
-35	35	1.84639895941458	-0.9186625306	0.9186625306	1.311986062
-30	35	1.84213914443870	-0.7875790634	0.9551719755	1.364126953
-25	35	1.83851541807387	-0.6560391909	0.9851083910	1.406880585
-20	35	1.83554848161184	-0.5244497969	1.008938827	1.440913975
-15	35	1.83324516624037	-0.3930251490	1.027057292	1.466789825
-10	35	1.83160722942802	-0.2618376001	1.039776560	1.484954821
-5	35	1.83063131355517	-0.1308593489	1.047320863	1.495729203
0	35	1.83031402001902	0.000000000	1.049824993	1.499305471
5	35	1.83065383886063	0.1308609591	1.047333750	1.495747607
10	35	1.83164919220373	0.2618435989	1.039800381	1.484988842
15	35	1.83330095588122	0.3930371096	1.027088548	1.466834462
20	35	1.83560889596110	0.5244670584	1.008972035	1.440961400
25	35	1.83856984415582	0.6560586118	0.9851375534	1.406922233
30	35	1.84217405979551	0.7875939910	0.9551900795	1.364152808
35	35	1.84639895972316	0.9186625308	0.9186625308	1.311986062
40	35	1.85120405387125	1.048605243	0.8750347016	1.249679065
45	35	1.85652069461189	1.176453539	0.8237616360	1.176453539

-45	40	1.85977403303055	-1.130966533	0.9489936010	1.130966533
-40	40	1.85522820858535	-1.003151953	1.003151953	1.195509944
-35	40	1.85120405350926	-0.8750347015	1.048605242	1.249679065
-30	40	1.84773297194873	-0.7473742598	1.086206241	1.294490190
-25	40	1.84482387945176	-0.6205885510	1.116721150	1.330856442
-20	40	1.84247239846198	-0.4948390904	1.140805646	1.359559227
-15	40	1.84066587241150	-0.3701007779	1.158993701	1.381234907
-10	40	1.83939249287314	-0.2462186749	1.171698163	1.396375495
-5	40	1.83864054564789	-0.1229502465	1.179209995	1.405327748
0	40	1.83840133063466	0.000000000	1.181701597	1.408297124
5	40	1.83867180023319	0.1229523365	1.179230040	1.405351637
10	40	1.83945194977077	0.2462266338	1.171736037	1.396420632
15	40	1.84074754303373	0.3701171994	1.159045126	1.381296193
20	40	1.84256667244761	0.4948644099	1.140864018	1.359628792
25	40	1.84491955011790	0.6206207340	1.116779062	1.330925459
30	40	1.84781428546360	0.7474071497	1.086254042	1.294547157
35	40	1.85125402687855	0.8750583231	1.048633549	1.249712800
40	40	1.85522820909446	1.003151953	1.003151953	1.195509944
45	40	1.85970549135111	1.130924852	0.9489586260	1.130924852

-45	45	1.86338407335920	-1.075825296	1.075825296	1.075825296
-40	45	1.85970549083917	-0.9489586257	1.130924851	1.130924851
-35	45	1.85652069429432	-0.8237616359	1.176453538	1.176453538
-30	45	1.85382660879857	-0.7006805972	1.213614394	1.213614394
-25	45	1.85160534554687	-0.5798220910	1.243432487	1.243432487
-20	45	1.84983467368527	-0.4610593968	1.266750282	1.266750282
-15	45	1.84849073562075	-0.3441090978	1.284232636	1.284232636
-10	45	1.84755321643883	-0.2285867300	1.296379766	1.296379766
-5	45	1.84700629821910	-0.1140448546	1.303538652	1.303538652
0	45	1.84683872919920	0.000000000	1.305912189	1.305912189
5	45	1.84704675609253	0.1140473527	1.303567206	1.303567206
10	45	1.84763131911001	0.2285963931	1.296434568	1.296434568
15	45	1.84860052917175	0.3441295366	1.284308915	1.284308915
20	45	1.84996698710895	0.4610923751	1.266840889	1.266840889
25	45	1.85174826198154	0.5798668446	1.243528461	1.243528461
30	45	1.85396392723604	0.7007324987	1.213704290	1.213704290
35	45	1.85663472569971	0.8238122330	1.176525799	1.176525799
40	45	1.85977403351085	0.9489936013	1.130966534	1.130966534
45	45	1.86338407450635	1.075825297	1.075825297	1.075825297


### +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	1.86338394519520	1.075825222	-1.075825222	1.075825222
45	-40	1.85977391284639	1.130966460	-0.9489935397	1.130966460
45	-35	1.85663469922808	1.176525782	-0.8238122213	1.176525782
45	-30	1.85396384235652	1.213704235	-0.7007324667	1.213704235
45	-25	1.85174823070994	1.243528440	-0.5798668349	1.243528440
45	-20	1.84996697036535	1.266840877	-0.4610923709	1.266840877
45	-15	1.84860052648869	1.284308913	-0.3441295361	1.284308913
45	-10	1.84763131916241	1.296434568	-0.2285963931	1.296434568
45	-5	1.84704675664033	1.303567206	-0.1140473527	1.303567206
45	0	1.84683872964863	1.305912189	0.000000000	1.305912189
45	5	1.84700629899394	1.303538653	0.1140448546	1.303538653
45	10	1.84755321758801	1.296379767	0.2285867301	1.296379767
45	15	1.84849073251853	1.284232634	0.3441090972	1.284232634
45	20	1.84983466843334	1.266750278	0.4610593955	1.266750278
45	25	1.85160530765092	1.243432461	0.5798220791	1.243432461
45	30	1.85382654806771	1.213614355	0.7006805743	1.213614355
45	35	1.85652064612480	1.176453508	0.8237616145	1.176453508
45	40	1.85970535409978	1.130924768	0.9489585560	1.130924768
45	45	1.86338397897839	1.075825242	1.075825242	1.075825242

50	-45	1.87071350516659	1.137619050	-1.137619050	0.9545757249
50	-40	1.86753406879208	1.203439846	-1.009805931	1.009805931
50	-35	1.86469833981794	1.258788556	-0.8814132359	1.056249013
50	-30	1.86223189492981	1.304647888	-0.7532388095	1.094729562
50	-25	1.86014712079929	1.341910633	-0.6257432046	1.125996717
50	-20	1.85844359025549	1.371344359	-0.4991285278	1.150694546
50	-15	1.85711842432933	1.393580895	-0.3734088755	1.169353215
50	-10	1.85616663086768	1.409109588	-0.2484640391	1.182383336
50	-5	1.85558502018345	1.418278915	-0.1240833268	1.190077314
50	0	1.85537111104318	1.421296730	0.000000000	1.192609562
50	5	1.85552654431567	1.418234220	0.1240794165	1.190039811
50	10	1.85605434448367	1.409024346	0.2484490086	1.182311809
50	15	1.85696137839996	1.393463048	0.3733772984	1.169254330
50	20	1.85825655304349	1.371206345	0.4990782945	1.150578738
50	25	1.85994728326322	1.341766470	0.6256759804	1.125875750
50	30	1.86204257609358	1.304515255	0.7531622335	1.094618269
50	35	1.86454470582432	1.258684843	0.8813406155	1.056161988
50	40	1.86744356231023	1.203381523	1.009756992	1.009756992
50	45	1.87071349820314	1.137619045	1.137619045	0.9545757214

55	-45	1.87713951241262	1.189519421	-1.189519421	0.8329104654
55	-40	1.87449966735577	1.265405068	-1.061800926	0.8860461675
55	-35	1.87209093848978	1.330241877	-0.9314453902	0.9314453902
55	-30	1.86995251855518	1.384723102	-0.7994702559	0.9695935546
55	-25	1.86810829317549	1.429525835	-0.6665988444	1.000964766
55	-20	1.86657560088832	1.465270406	-0.5333148128	1.025993383
55	-15	1.86536473509919	1.492488873	-0.3999111884	1.045051960
55	-10	1.86448238793741	1.511607983	-0.2665372717	1.058439305
55	-5	1.86393451169931	1.522939797	-0.1332399675	1.066373926
55	0	1.86372388297437	1.526673229	0.000000000	1.068988103
55	5	1.86385475194315	1.522874629	0.1332342660	1.066328295
55	10	1.86433000102226	1.511484437	0.2665154873	1.058352797
55	15	1.86515229832361	1.492318902	0.3998656445	1.044932944
55	20	1.86632447534655	1.465073271	0.5332430616	1.025855348
55	25	1.86784398907291	1.429323583	0.6665045326	1.000823147
55	30	1.86970506392171	1.384539859	0.7993644604	0.9694652463
55	35	1.87189455769093	1.330102336	0.9313476823	0.9313476823
55	40	1.87438659004625	1.265328734	1.061736874	0.8859927176
55	45	1.87713946829880	1.189519393	1.189519393	0.8329104458

60	-45	1.88263655510030	1.232474931	-1.232474931	0.7115697334
60	-40	1.88058391432841	1.317505000	-1.105517960	0.7606618664
60	-35	1.87867151065318	1.391179625	-0.9741144601	0.8031979307
60	-30	1.87693629096544	1.453868599	-0.8393914272	0.8393914272
60	-25	1.87540964274484	1.505988259	-0.7022538581	0.8694827265
60	-20	1.87411975787294	1.547956831	-0.5634102105	0.8937132932
60	-15	1.87308306383821	1.580151646	-0.4234003576	0.9123009785
60	-10	1.87231474420204	1.602891393	-0.2826329997	0.9254297770
60	-5	1.87182686649129	1.616416577	-0.1414181260	0.9332385456
60	0	1.87162736027442	1.620876840	0.000000000	0.9358136801
60	5	1.87172284706838	1.616326751	0.1414102672	0.9331866845
60	10	1.87211708748425	1.602722178	0.2826031626	0.9253320812
60	15	1.87280947503798	1.579920844	0.4233385143	0.9121677247
60	20	1.87379950260125	1.547692312	0.5633139332	0.8935605727
60	25	1.87507835351008	1.505722227	0.7021298057	0.8693291333
60	30	1.87662914497895	1.453630685	0.8392540673	0.8392540673
60	35	1.87843097564530	1.391001505	0.9739897397	0.8030950936
60	40	1.88044886772584	1.317410389	1.105438571	0.7606072425
60	45	1.88263658017198	1.232474948	1.232474948	0.7115697429

65	-45	1.88721437039500	1.267345476	-1.267345476	0.5909729009
65	-40	1.88574097002596	1.360374042	-1.141489357	0.6343528339
65	-35	1.88433821984269	1.441945404	-1.009661042	0.6723901845
65	-30	1.88303721052187	1.512113335	-0.8730190411	0.7051100282
65	-25	1.88187115960239	1.571018280	-0.7325778548	0.7325778548
65	-20	1.88086465608213	1.618840220	-0.5892096542	0.7548775921
65	-15	1.88003806463106	1.655769291	-0.4436620445	0.7720979007
65	-10	1.87941113410003	1.681983001	-0.2965789842	0.7843215544
65	-5	1.87900074872535	1.697624747	-0.1485229203	0.7916154203
65	0	1.87881878933733	1.702788099	0.000000000	0.7940231309
65	5	1.87887205795223	1.697508479	0.1485127481	0.7915612034
65	10	1.87916749883469	1.681764959	0.2965405375	0.7842198798
65	15	1.87970210024901	1.655473404	0.4435827617	0.7719599262
65	20	1.88047308520188	1.618503199	0.5890869886	0.7547204366
65	25	1.88147001649455	1.570683398	0.7324216972	0.7324216972
65	30	1.88267275873053	1.511820674	0.8728500729	0.7049735579
65	35	1.88405595273481	1.441729406	1.009509798	0.6722894628
65	40	1.88558474144676	1.360261339	1.141394788	0.6343002795
65	45	1.88721438052219	1.267345483	1.267345483	0.5909729041

70	-45	1.89089770764524	1.294869881	-1.294869881	0.4712940940
70	-40	1.88995088788590	1.394593575	-1.170202954	0.5075905501
70	-35	1.88902701678737	1.482894870	-1.038334166	0.5397295932
70	-30	1.88814917143381	1.559544632	-0.9004035131	0.5676278251
70	-25	1.88734177389323	1.624415007	-0.7574771577	0.5912387106
70	-20	1.88662460629926	1.677447915	-0.6105411108	0.6105411108
70	-15	1.88601859938535	1.718635740	-0.4605070586	0.6255322529
70	-10	1.88554349994344	1.747998806	-0.3082193517	0.6362195348
70	-5	1.88521785251255	1.765568713	-0.1544672470	0.6426144580
70	0	1.88505508602501	1.771372354	0.000000000	0.6447268107
70	5	1.88506600087535	1.765426499	0.1544548049	0.6425626963
70	10	1.88525682908391	1.747733047	0.3081724912	0.6361228064
70	15	1.88562525154781	1.718277302	0.4604110153	0.6254017920
70	20	1.88616736878219	1.677041374	0.6103931416	0.6103931416
70	25	1.88687595557680	1.624014082	0.7572902033	0.5910927858
70	30	1.88773147910999	1.559199633	0.9002043278	0.5675022557
70	35	1.88870812256299	1.482644537	1.038158881	0.5396384793
70	40	1.88977621919895	1.394464687	1.170094804	0.5075436387
70	45	1.89089770819352	1.294869881	1.294869881	0.4712940941

75	-45	1.89371946609289	1.315655143	-1.315655143	0.3525287330
75	-40	1.89321244383849	1.420665833	-1.192080176	0.3806662625
75	-35	1.89269878791241	1.514359004	-1.060365590	0.4057712721
75	-30	1.89219208540587	1.596272209	-0.9216081893	0.4277198492
75	-25	1.89170492014599	1.666044414	-0.7768892690	0.4464152552
75	-20	1.89125224307001	1.723404901	-0.6272680857	0.4617849516
75	-15	1.89084947818579	1.768158167	-0.4737765530	0.4737765530
75	-10	1.89051671160334	1.800175390	-0.3174194913	0.4823555420
75	-5	1.89027201389041	1.819377547	-0.1591749100	0.4875007445
75	0	1.89012918870040	1.825724598	0.000000000	0.4892014317
75	5	1.89010043848267	1.819212407	0.1591604621	0.4874564952
75	10	1.89019309734601	1.799867240	0.3173651561	0.4822729735
75	15	1.89040694253061	1.767744346	0.4736656701	0.4736656701
75	20	1.89073948528267	1.722937650	0.6270980203	0.4616597521
75	25	1.89118504744021	1.665586556	0.7766757666	0.4462925727
75	30	1.89172908859227	1.595881620	0.9213826828	0.4276151913
75	35	1.89235011894888	1.514080032	1.060170252	0.4056965218
75	40	1.89302296441289	1.420523647	1.191960868	0.3806281641
75	45	1.89371946197438	1.315655140	1.315655140	0.3525287322

80	-45	1.89571003745605	1.330170147	-1.330170147	0.2345448859
80	-40	1.89553259965541	1.438994278	-1.207459568	0.2537335163
80	-35	1.89533248232792	1.536619348	-1.075952451	0.2709474502
80	-30	1.89511295274615	1.622408972	-0.9366982569	0.2860744756
80	-25	1.89487754652728	1.695824700	-0.7907760445	0.2990196492
80	-20	1.89463453191464	1.756426674	-0.6392870282	0.3097054123
80	-15	1.89439518023069	1.803868520	-0.4833451131	0.3180706897
80	-10	1.89417863220230	1.837897897	-0.3240709871	0.3240709871
80	-5	1.89400123851655	1.858342192	-0.1625838747	0.3276758678
80	0	1.89387591766260	1.865103687	0.000000000	0.3288681018
80	5	1.89381518853238	1.858159644	0.1625679039	0.3276436798
80	10	1.89382789413867	1.837557581	0.3240109801	0.3240109801
80	15	1.89391632739693	1.803412550	0.4832229363	0.3179902899
80	20	1.89407987192084	1.755912475	0.6390998750	0.3096147451
80	25	1.89431703563362	1.695323070	0.7905421304	0.2989311982
80	30	1.89461582500208	1.621983381	0.9364525414	0.2859994323
80	35	1.89496057481285	1.536317828	1.075741324	0.2708942841
80	40	1.89533220597023	1.438842149	1.207331916	0.2537066918
80	45	1.89571003354047	1.330170145	1.330170145	0.2345448855

85	-45	1.89689427867493	1.338747472	-1.338747472	0.1171252271
85	-40	1.89692010943756	1.449872555	-1.216587526	0.1268474121
85	-35	1.89691542927617	1.549887070	-1.085242610	0.1355975483
85	-30	1.89687651039300	1.638048203	-0.9457275710	0.1433106481
85	-25	1.89680185417921	1.713707549	-0.7991149541	0.1499299832
85	-20	1.89669269323541	1.776315280	-0.6465258885	0.1554074498
85	-15	1.89655928832847	1.825429018	-0.4891222312	0.1597043451
85	-10	1.89641921388467	1.860714643	-0.3280941949	0.1627914373
85	-5	1.89628672988173	1.881936597	-0.1646481177	0.1646481177
85	0	1.89617346594891	1.888957953	0.000000000	0.1652624068
85	5	1.89609190745776	1.881743249	0.1646312020	0.1646312020
85	10	1.89605218089542	1.860354520	0.3280306956	0.1627599306
85	15	1.89605858403549	1.824947092	0.4889930996	0.1596621821
85	20	1.89611209178345	1.775771527	0.6463279788	0.1553598776
85	25	1.89621457007244	1.713176954	0.7988675336	0.1498835621
85	30	1.89635810511244	1.637600534	0.9454691091	0.1432714821
85	35	1.89652899390913	1.549571330	1.085021526	0.1355699247
85	40	1.89671310667372	1.449714337	1.216454765	0.1268335698
85	45	1.89689427555732	1.338747469	1.338747469	0.1171252269

90	-45	1.89728648384518	1.341584139	-1.341584139	0.000000000
90	-40	1.89738103488980	1.453478198	-1.219613020	0.000000000
90	-35	1.89744282852728	1.554294172	-1.088328496	0.000000000
90	-30	1.89746564130228	1.643253448	-0.9487328207	0.000000000
90	-25	1.89744614565938	1.719670217	-0.8018953918	0.000000000
90	-20	1.89738318437130	1.782956977	-0.6489432687	0.000000000
90	-15	1.89728653602291	1.832638065	-0.4910538895	0.000000000
90	-10	1.89717318215456	1.868350859	-0.3294406658	0.000000000
90	-5	1.89705651405948	1.889837641	-0.1653393695	0.000000000
90	0	1.89694760485563	1.896947605	0.000000000	0.000000000
90	5	1.89685877007339	1.889640650	0.1653221350	0.000000000
90	10	1.89680074227129	1.867984077	0.3293759923	0.000000000
90	15	1.89677857502036	1.832147412	0.4909224196	0.000000000
90	20	1.89679387577454	1.782403208	0.6487417133	0.000000000
90	25	1.89684982451163	1.719129767	0.8016433756	0.000000000
90	30	1.89694005020999	1.642798273	0.9484700251	0.000000000
90	35	1.89705147100976	1.553973591	1.088104022	0.000000000
90	40	1.89717182258600	1.453317932	1.219478541	0.000000000
90	45	1.89728648176908	1.341584137	1.341584137	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	1.86338394555680	1.075825223	1.075825223	1.075825223
40	45	1.85977391316397	0.9489935399	1.130966460	1.130966460
35	45	1.85663469946787	0.8238122214	1.176525782	1.176525782
30	45	1.85396384253110	0.7007324667	1.213704235	1.213704235
25	45	1.85174823083385	0.5798668349	1.243528440	1.243528440
20	45	1.84996697044838	0.4610923709	1.266840877	1.266840877
15	45	1.84860052653659	0.3441295361	1.284308913	1.284308913
10	45	1.84763131917894	0.2285963931	1.296434568	1.296434568
5	45	1.84704675662883	0.1140473527	1.303567206	1.303567206
0	45	1.84683872961156	0.000000000	1.305912189	1.305912189
-5	45	1.84700629893176	-0.1140448546	1.303538653	1.303538653
-10	45	1.84755321750004	-0.2285867301	1.296379767	1.296379767
-15	45	1.84849073240289	-0.3441090972	1.284232634	1.284232634
-20	45	1.84983466828704	-0.4610593955	1.266750278	1.266750278
-25	45	1.85160530746921	-0.5798220791	1.243432461	1.243432461
-30	45	1.85382654784244	-0.7006805742	1.213614354	1.213614354
-35	45	1.85652064584448	-0.8237616144	1.176453508	1.176453508
-40	45	1.85970535375840	-0.9489585558	1.130924768	1.130924768
-45	45	1.86338397861656	-1.075825242	1.075825242	1.075825242

45	50	1.87071350542383	1.137619050	1.137619050	0.9545757250
40	50	1.86753406904451	1.009805931	1.203439846	1.009805931
35	50	1.86469834003075	0.8814132360	1.258788556	1.056249013
30	50	1.86223189509498	0.7532388096	1.304647888	1.094729562
25	50	1.86014712091991	0.6257432046	1.341910633	1.125996717
20	50	1.85844359033700	0.4991285278	1.371344360	1.150694546
15	50	1.85711842437619	0.3734088755	1.393580895	1.169353215
10	50	1.85616663088296	0.2484640391	1.409109588	1.182383336
5	50	1.85558502016984	0.1240833268	1.418278915	1.190077314
0	50	1.85537111100295	0.000000000	1.421296730	1.192609562
-5	50	1.85552654424983	-0.1240794165	1.418234220	1.190039811
-10	50	1.85605434439181	-0.2484490086	1.409024346	1.182311809
-15	50	1.85696137828058	-0.3733772984	1.393463048	1.169254330
-20	50	1.85825655289451	-0.4990782945	1.371206345	1.150578738
-25	50	1.85994728308168	-0.6256759803	1.341766470	1.125875750
-30	50	1.86204257587588	-0.7531622334	1.304515255	1.094618269
-35	50	1.86454470557095	-0.8813406154	1.258684843	1.056161988
-40	50	1.86744356203534	-1.009756992	1.203381523	1.009756992
-45	50	1.87071349794559	-1.137619045	1.137619045	0.9545757212

45	55	1.87713951261612	1.189519421	1.189519421	0.8329104655
40	55	1.87449966755671	1.061800926	1.265405068	0.8860461676
35	55	1.87209093866783	0.9314453903	1.330241877	0.9314453903
30	55	1.86995251870024	0.7994702560	1.384723103	0.9695935547
25	55	1.86810829328458	0.6665988445	1.429525835	1.000964766
20	55	1.86657560096290	0.5333148128	1.465270406	1.025993384
15	55	1.86536473514147	0.3999111884	1.492488874	1.045051960
10	55	1.86448238794975	0.2665372717	1.511607983	1.058439305
5	55	1.86393451168388	0.1332399675	1.522939797	1.066373926
0	55	1.86372388293253	0.000000000	1.526673229	1.068988103
-5	55	1.86385475187579	-0.1332342660	1.522874629	1.066328295
-10	55	1.86433000092997	-0.2665154872	1.511484437	1.058352797
-15	55	1.86515229820569	-0.3998656445	1.492318902	1.044932944
-20	55	1.86632447520210	-0.5332430616	1.465073271	1.025855348
-25	55	1.86784398890158	-0.6665045325	1.429323582	1.000823147
-30	55	1.86970506372449	-0.7993644603	1.384539859	0.9694652462
-35	55	1.87189455747366	-0.9313476822	1.330102336	0.9313476822
-40	55	1.87438658982468	-1.061736874	1.265328734	0.8859927175
-45	55	1.87713946809518	-1.189519393	1.189519393	0.8329104457

45	60	1.88263655527178	1.232474932	1.232474932	0.7115697335
40	60	1.88058391449578	1.105517960	1.317505000	0.7606618665
35	60	1.87867151080306	0.9741144602	1.391179625	0.8031979308
30	60	1.87693629108992	0.8393914273	1.453868599	0.8393914273
25	60	1.87540964284059	0.7022538581	1.505988259	0.8694827266
20	60	1.87411975793885	0.5634102105	1.547956831	0.8937132932
15	60	1.87308306387453	0.4234003576	1.580151647	0.9123009785
10	60	1.87231474421009	0.2826329997	1.602891393	0.9254297770
5	60	1.87182686647280	0.1414181260	1.616416576	0.9332385456
0	60	1.87162736023089	0.000000000	1.620876840	0.9358136801
-5	60	1.87172284700081	-0.1414102672	1.616326750	0.9331866845
-10	60	1.87211708739328	-0.2826031626	1.602722178	0.9253320811
-15	60	1.87280947492454	-0.4233385143	1.579920844	0.9121677247
-20	60	1.87379950246560	-0.5633139332	1.547692312	0.8935605727
-25	60	1.87507835335273	-0.7021298056	1.505722227	0.8693291332
-30	60	1.87662914480360	-0.8392540673	1.453630685	0.8392540673
-35	60	1.87843097545895	-0.9739897396	1.391001505	0.8030950935
-40	60	1.88044886754051	-1.105438571	1.317410388	0.7606072424
-45	60	1.88263658000051	-1.232474948	1.232474948	0.7115697428

45	65	1.88721437054582	1.267345476	1.267345476	0.5909729010
40	65	1.88574097017119	1.141489357	1.360374043	0.6343528340
35	65	1.88433821997289	1.009661042	1.441945404	0.6723901845
30	65	1.88303721063027	0.8730190411	1.512113335	0.7051100282
25	65	1.88187115968623	0.7325778549	1.571018280	0.7325778549
20	65	1.88086465613910	0.5892096542	1.618840220	0.7548775921
15	65	1.88003806466115	0.4436620445	1.655769291	0.7720979007
10	65	1.87941113410501	0.2965789842	1.681983001	0.7843215544
5	65	1.87900074870564	0.1485229203	1.697624747	0.7916154203
0	65	1.87881878929369	0.000000000	1.702788099	0.7940231309
-5	65	1.87887205788596	-0.1485127481	1.697508479	0.7915612034
-10	65	1.87916749874660	-0.2965405375	1.681764959	0.7842198797
-15	65	1.87970210014115	-0.4435827617	1.655473404	0.7719599261
-20	65	1.88047308507539	-0.5890869886	1.618503199	0.7547204366
-25	65	1.88147001634992	-0.7324216971	1.570683398	0.7324216971
-30	65	1.88267275857319	-0.8728500728	1.511820674	0.7049735578
-35	65	1.88405595257144	-1.009509798	1.441729406	0.6722894628
-40	65	1.88558474128553	-1.141394788	1.360261339	0.6343002795
-45	65	1.88721438037142	-1.267345483	1.267345483	0.5909729040

45	70	1.89089770778195	1.294869881	1.294869881	0.4712940940
40	70	1.88995088801574	1.170202954	1.394593575	0.5075905501
35	70	1.88902701690296	1.038334166	1.482894870	0.5397295932
30	70	1.88814917152949	0.9004035132	1.559544632	0.5676278251
25	70	1.88734177396717	0.7574771577	1.624415007	0.5912387106
20	70	1.88662460634912	0.6105411108	1.677447916	0.6105411108
15	70	1.88601859941080	0.4605070586	1.718635740	0.6255322529
10	70	1.88554349994559	0.3082193517	1.747998806	0.6362195348
5	70	1.88521785249149	0.1544672470	1.765568713	0.6426144580
0	70	1.88505508598108	0.000000000	1.771372354	0.6447268107
-5	70	1.88506600081010	-0.1544548049	1.765426499	0.6425626963
-10	70	1.88525682899896	-0.3081724912	1.747733047	0.6361228064
-15	70	1.88562525144483	-0.4604110153	1.718277301	0.6254017919
-20	70	1.88616736866289	-0.6103931416	1.677041373	0.6103931416
-25	70	1.88687595544362	-0.7572902033	1.624014082	0.5910927858
-30	70	1.88773147896741	-0.9002043277	1.559199633	0.5675022556
-35	70	1.88870812241634	-1.038158881	1.482644536	0.5396384793
-40	70	1.88977621905429	-1.170094804	1.394464687	0.5075436387
-45	70	1.89089770805686	-1.294869881	1.294869881	0.4712940941

45	75	1.89371946621960	1.315655143	1.315655143	0.3525287330
40	75	1.89321244395762	1.192080176	1.420665833	0.3806662626
35	75	1.89269878801716	1.060365590	1.514359004	0.4057712721
30	75	1.89219208549180	0.9216081894	1.596272209	0.4277198492
25	75	1.89170492021250	0.7768892690	1.666044414	0.4464152552
20	75	1.89125224311538	0.6272680857	1.723404901	0.4617849516
15	75	1.89084947820713	0.4737765530	1.768158167	0.4737765530
10	75	1.89051671160268	0.3174194913	1.800175390	0.4823555420
5	75	1.89027201386843	0.1591749100	1.819377547	0.4875007445
0	75	1.89012918865653	0.000000000	1.825724598	0.4892014317
-5	75	1.89010043841806	-0.1591604621	1.819212406	0.4874564952
-10	75	1.89019309726289	-0.3173651561	1.799867240	0.4822729734
-15	75	1.89040694243141	-0.4736656700	1.767744346	0.4736656700
-20	75	1.89073948516940	-0.6270980202	1.722937650	0.4616597520
-25	75	1.89118504731665	-0.7766757665	1.665586556	0.4462925727
-30	75	1.89172908846100	-0.9213826828	1.595881620	0.4276151912
-35	75	1.89235011881399	-1.060170252	1.514080032	0.4056965217
-40	75	1.89302296427970	-1.191960868	1.420523647	0.3806281641
-45	75	1.89371946184773	-1.315655140	1.315655140	0.3525287322

45	80	1.89571003757581	1.330170148	1.330170148	0.2345448860
40	80	1.89553259976724	1.207459568	1.438994278	0.2537335163
35	80	1.89533248242683	1.075952451	1.536619348	0.2709474502
30	80	1.89511295282694	0.9366982570	1.622408972	0.2860744756
25	80	1.89487754658932	0.7907760445	1.695824700	0.2990196492
20	80	1.89463453195672	0.6392870282	1.756426674	0.3097054123
15	80	1.89439518024965	0.4833451131	1.803868520	0.3180706897
10	80	1.89417863219976	0.3240709871	1.837897897	0.3240709871
5	80	1.89400123849362	0.1625838747	1.858342192	0.3276758678
0	80	1.89387591761938	0.000000000	1.865103687	0.3288681018
-5	80	1.89381518846947	-0.1625679039	1.858159644	0.3276436798
-10	80	1.89382789405794	-0.3240109801	1.837557581	0.3240109801
-15	80	1.89391632730148	-0.4832229363	1.803412550	0.3179902899
-20	80	1.89407987181286	-0.6390998749	1.755912475	0.3096147451
-25	80	1.89431703551691	-0.7905421304	1.695323069	0.2989311982
-30	80	1.89461582487941	-0.9364525413	1.621983380	0.2859994322
-35	80	1.89496057468672	-1.075741324	1.536317828	0.2708942841
-40	80	1.89533220584477	-1.207331916	1.438842149	0.2537066918
-45	80	1.89571003342075	-1.330170145	1.330170145	0.2345448854

45	85	1.89689427879084	1.338747472	1.338747472	0.1171252271
40	85	1.89692010954531	1.216587526	1.449872555	0.1268474121
35	85	1.89691542937283	1.085242610	1.549887070	0.1355975484
30	85	1.89687651047256	0.9457275710	1.638048203	0.1433106481
25	85	1.89680185423892	0.7991149541	1.713707549	0.1499299832
20	85	1.89669269327514	0.6465258885	1.776315280	0.1554074498
15	85	1.89655928834741	0.4891222312	1.825429018	0.1597043451
10	85	1.89641921388204	0.3280941949	1.860714643	0.1627914373
5	85	1.89628672985817	0.1646481177	1.881936597	0.1646481177
0	85	1.89617346590587	0.000000000	1.888957953	0.1652624068
-5	85	1.89609190739703	-0.1646312020	1.881743249	0.1646312020
-10	85	1.89605218081865	-0.3280306956	1.860354520	0.1627599306
-15	85	1.89605858394462	-0.4889930996	1.824947092	0.1596621821
-20	85	1.89611209167959	-0.6463279787	1.775771527	0.1553598776
-25	85	1.89621456995918	-0.7988675336	1.713176954	0.1498835621
-30	85	1.89635810499466	-0.9454691091	1.637600534	0.1432714821
-35	85	1.89652899378854	-1.085021526	1.549571330	0.1355699247
-40	85	1.89671310655297	-1.216454765	1.449714337	0.1268335698
-45	85	1.89689427544146	-1.338747469	1.338747469	0.1171252269

45	90	1.89728648395996	1.341584139	1.341584139	0.000000000
40	90	1.89738103499617	1.219613020	1.453478198	0.000000000
35	90	1.89744282862298	1.088328496	1.554294172	0.000000000
30	90	1.89746564138154	0.9487328207	1.643253448	0.000000000
25	90	1.89744614571777	0.8018953918	1.719670217	0.000000000
20	90	1.89738318440989	0.6489432687	1.782956977	0.000000000
15	90	1.89728653604155	0.4910538895	1.832638065	0.000000000
10	90	1.89717318215177	0.3294406658	1.868350859	0.000000000
5	90	1.89705651403587	0.1653393695	1.889837641	0.000000000
0	90	1.89694760481255	0.000000000	1.896947605	0.000000000
-5	90	1.89685877001345	-0.1653221350	1.889640650	0.000000000
-10	90	1.89680074219697	-0.3293759923	1.867984077	0.000000000
-15	90	1.89677857493240	-0.4909224195	1.832147412	0.000000000
-20	90	1.89679387567256	-0.6487417132	1.782403208	0.000000000
-25	90	1.89684982439958	-0.8016433756	1.719129767	0.000000000
-30	90	1.89694005009317	-0.9484700250	1.642798273	0.000000000
-35	90	1.89705147089080	-1.088104022	1.553973591	0.000000000
-40	90	1.89717182246692	-1.219478541	1.453317932	0.000000000
-45	90	1.89728648165435	-1.341584137	1.341584137	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	1.89728648384523	-1.341584139	1.341584139	1.642966721e-16
-90	40	1.89738103488983	-1.453478198	1.219613020	1.779997423e-16
-90	35	1.89744282852730	-1.554294172	1.088328496	1.903461383e-16
-90	30	1.89746564130230	-1.643253448	0.9487328207	2.012405075e-16
-90	25	1.89744614565937	-1.719670217	0.8018953918	2.105988627e-16
-90	20	1.89738318437129	-1.782956977	0.6489432687	2.183492555e-16
-90	15	1.89728653602288	-1.832638065	0.4910538895	2.244334340e-16
-90	10	1.89717318215452	-1.868350859	0.3294406658	2.288069899e-16
-90	5	1.89705651405942	-1.889837641	0.1653393695	2.314383618e-16
-90	-2.84217e-14	1.89694760485557	-1.896947605	-6.101048817e-16	2.323090812e-16
-90	-5	1.89685877007331	-1.889640650	-0.1653221350	2.314142373e-16
-90	-10	1.89680074227120	-1.867984077	-0.3293759923	2.287620721e-16
-90	-15	1.89677857502027	-1.832147412	-0.4909224196	2.243733464e-16
-90	-20	1.89679387577443	-1.782403208	-0.6487417133	2.182814384e-16
-90	-25	1.89684982451151	-1.719129767	-0.8016433756	2.105326766e-16
-90	-30	1.89694005020987	-1.642798273	-0.9484700251	2.011847647e-16
-90	-35	1.89705147100962	-1.553973591	-1.088104022	1.903068784e-16
-90	-40	1.89717182258586	-1.453317932	-1.219478541	1.779801154e-16
-90	-45	1.89728648176893	-1.341584137	-1.341584137	1.642966719e-16

-85	45	1.89689427867498	-1.338747472	1.338747472	0.1171252271
-85	40	1.89692010943760	-1.449872555	1.216587526	0.1268474121
-85	35	1.89691542927619	-1.549887070	1.085242610	0.1355975483
-85	30	1.89687651039301	-1.638048203	0.9457275710	0.1433106481
-85	25	1.89680185417921	-1.713707549	0.7991149541	0.1499299832
-85	20	1.89669269323539	-1.776315280	0.6465258885	0.1554074498
-85	15	1.89655928832844	-1.825429018	0.4891222312	0.1597043451
-85	10	1.89641921388463	-1.860714643	0.3280941949	0.1627914373
-85	5	1.89628672988168	-1.881936597	0.1646481177	0.1646481177
-85	-2.84217e-14	1.89617346594885	-1.888957953	-6.075352138e-16	0.1652624068
-85	-5	1.89609190745768	-1.881743249	-0.1646312020	0.1646312020
-85	-10	1.89605218089533	-1.860354520	-0.3280306956	0.1627599306
-85	-15	1.89605858403539	-1.824947092	-0.4889930996	0.1596621821
-85	-20	1.89611209178334	-1.775771527	-0.6463279788	0.1553598776
-85	-25	1.89621457007232	-1.713176954	-0.7988675336	0.1498835621
-85	-30	1.89635810511231	-1.637600534	-0.9454691091	0.1432714821
-85	-35	1.89652899390900	-1.549571330	-1.085021526	0.1355699247
-85	-40	1.89671310667358	-1.449714337	-1.216454765	0.1268335698
-85	-45	1.89689427555717	-1.338747469	-1.338747469	0.1171252269

-80	45	1.89571003745610	-1.330170147	1.330170147	0.2345448859
-80	40	1.89553259965544	-1.438994278	1.207459568	0.2537335163
-80	35	1.89533248232794	-1.536619348	1.075952451	0.2709474502
-80	30	1.89511295274616	-1.622408972	0.9366982569	0.2860744756
-80	25	1.89487754652728	-1.695824700	0.7907760445	0.2990196492
-80	20	1.89463453191462	-1.756426674	0.6392870282	0.3097054123
-80	15	1.89439518023066	-1.803868520	0.4833451131	0.3180706897
-80	10	1.89417863220226	-1.837897897	0.3240709871	0.3240709871
-80	5	1.89400123851650	-1.858342192	0.1625838747	0.3276758678
-80	-2.84217e-14	1.89387591766253	-1.865103687	-5.998630966e-16	0.3288681018
-80	-5	1.89381518853230	-1.858159644	-0.1625679039	0.3276436798
-80	-10	1.89382789413858	-1.837557581	-0.3240109801	0.3240109801
-80	-15	1.89391632739684	-1.803412550	-0.4832229363	0.3179902899
-80	-20	1.89407987192073	-1.755912475	-0.6390998750	0.3096147451
-80	-25	1.89431703563351	-1.695323070	-0.7905421304	0.2989311982
-80	-30	1.89461582500196	-1.621983381	-0.9364525414	0.2859994323
-80	-35	1.89496057481271	-1.536317828	-1.075741324	0.2708942841
-80	-40	1.89533220597009	-1.438842149	-1.207331916	0.2537066918
-80	-45	1.89571003354032	-1.330170145	-1.330170145	0.2345448855

-75	45	1.89371946609294	-1.315655143	1.315655143	0.3525287330
-75	40	1.89321244383853	-1.420665833	1.192080176	0.3806662625
-75	35	1.89269878791243	-1.514359004	1.060365590	0.4057712721
-75	30	1.89219208540589	-1.596272209	0.9216081893	0.4277198492
-75	25	1.89170492014599	-1.666044414	0.7768892690	0.4464152552
-75	20	1.89125224307000	-1.723404901	0.6272680857	0.4617849516
-75	15	1.89084947818576	-1.768158167	0.4737765530	0.4737765530
-75	10	1.89051671160330	-1.800175390	0.3174194913	0.4823555420
-75	5	1.89027201389036	-1.819377547	0.1591749100	0.4875007445
-75	-2.84217e-14	1.89012918870034	-1.825724598	-5.871978157e-16	0.4892014317
-75	-5	1.89010043848260	-1.819212407	-0.1591604621	0.4874564952
-75	-10	1.89019309734592	-1.799867240	-0.3173651561	0.4822729735
-75	-15	1.89040694253052	-1.767744346	-0.4736656701	0.4736656701
-75	-20	1.89073948528256	-1.722937650	-0.6270980203	0.4616597521
-75	-25	1.89118504744009	-1.665586556	-0.7766757666	0.4462925727
-75	-30	1.89172908859215	-1.595881620	-0.9213826828	0.4276151913
-75	-35	1.89235011894875	-1.514080032	-1.060170252	0.4056965218
-75	-40	1.89302296441275	-1.420523647	-1.191960868	0.3806281641
-75	-45	1.89371946197423	-1.315655140	-1.315655140	0.3525287322

-70	45	1.89089770764530	-1.294869881	1.294869881	0.4712940940
-70	40	1.88995088788594	-1.394593575	1.170202954	0.5075905501
-70	35	1.88902701678740	-1.482894870	1.038334166	0.5397295932
-70	30	1.88814917143383	-1.559544632	0.9004035131	0.5676278251
-70	25	1.88734177389324	-1.624415007	0.7574771577	0.5912387106
-70	20	1.88662460629924	-1.677447915	0.6105411108	0.6105411108
-70	15	1.88601859938533	-1.718635740	0.4605070586	0.6255322529
-70	10	1.88554349994340	-1.747998806	0.3082193517	0.6362195348
-70	5	1.88521785251250	-1.765568713	0.1544672470	0.6426144580
-70	-2.84217e-14	1.88505508602495	-1.771372354	-5.697168007e-16	0.6447268107
-70	-5	1.88506600087528	-1.765426499	-0.1544548049	0.6425626963
-70	-10	1.88525682908382	-1.747733047	-0.3081724912	0.6361228064
-70	-15	1.88562525154772	-1.718277302	-0.4604110153	0.6254017920
-70	-20	1.88616736878208	-1.677041374	-0.6103931416	0.6103931416
-70	-25	1.88687595557669	-1.624014082	-0.7572902033	0.5910927858
-70	-30	1.88773147910986	-1.559199633	-0.9002043278	0.5675022557
-70	-35	1.88870812256285	-1.482644537	-1.038158881	0.5396384793
-70	-40	1.88977621919881	-1.394464687	-1.170094804	0.5075436387
-70	-45	1.89089770819337	-1.294869881	-1.294869881	0.4712940941

-65	45	1.88721437039506	-1.267345476	1.267345476	0.5909729009
-65	40	1.88574097002601	-1.360374042	1.141489357	0.6343528339
-65	35	1.88433821984272	-1.441945404	1.009661042	0.6723901845
-65	30	1.88303721052188	-1.512113335	0.8730190411	0.7051100282
-65	25	1.88187115960239	-1.571018280	0.7325778548	0.7325778548
-65	20	1.88086465608212	-1.618840220	0.5892096542	0.7548775921
-65	15	1.88003806463104	-1.655769291	0.4436620445	0.7720979007
-65	10	1.87941113410000	-1.681983001	0.2965789842	0.7843215544
-65	5	1.87900074872530	-1.697624747	0.1485229203	0.7916154203
-65	-2.84217e-14	1.87881878933727	-1.702788099	-5.476584220e-16	0.7940231309
-65	-5	1.87887205795216	-1.697508479	-0.1485127481	0.7915612034
-65	-10	1.87916749883460	-1.681764959	-0.2965405375	0.7842198798
-65	-15	1.87970210024891	-1.655473404	-0.4435827617	0.7719599262
-65	-20	1.88047308520177	-1.618503199	-0.5890869886	0.7547204366
-65	-25	1.88147001649443	-1.570683398	-0.7324216972	0.7324216972
-65	-30	1.88267275873040	-1.511820674	-0.8728500729	0.7049735579
-65	-35	1.88405595273468	-1.441729406	-1.009509798	0.6722894628
-65	-40	1.88558474144661	-1.360261339	-1.141394788	0.6343002795
-65	-45	1.88721438052204	-1.267345483	-1.267345483	0.5909729041

-60	45	1.88263655510036	-1.232474931	1.232474931	0.7115697334
-60	40	1.88058391432845	-1.317505000	1.105517960	0.7606618664
-60	35	1.87867151065322	-1.391179625	0.9741144601	0.8031979307
-60	30	1.87693629096546	-1.453868599	0.8393914272	0.8393914272
-60	25	1.87540964274485	-1.505988259	0.7022538581	0.8694827265
-60	20	1.87411975787293	-1.547956831	0.5634102105	0.8937132932
-60	15	1.87308306383820	-1.580151646	0.4234003576	0.9123009785
-60	10	1.87231474420200	-1.602891393	0.2826329997	0.9254297770
-60	5	1.87182686649124	-1.616416577	0.1414181260	0.9332385456
-60	-2.84217e-14	1.87162736027436	-1.620876840	-5.213137519e-16	0.9358136801
-60	-5	1.87172284706831	-1.616326751	-0.1414102672	0.9331866845
-60	-10	1.87211708748416	-1.602722178	-0.2826031626	0.9253320812
-60	-15	1.87280947503788	-1.579920844	-0.4233385143	0.9121677247
-60	-20	1.87379950260114	-1.547692312	-0.5633139332	0.8935605727
-60	-25	1.87507835350996	-1.505722227	-0.7021298057	0.8693291333
-60	-30	1.87662914497882	-1.453630685	-0.8392540673	0.8392540673
-60	-35	1.87843097564516	-1.391001505	-0.9739897397	0.8030950936
-60	-40	1.88044886772568	-1.317410389	-1.105438571	0.7606072425
-60	-45	1.88263658017182	-1.232474948	-1.232474948	0.7115697429

-55	45	1.87713951241269	-1.189519421	1.189519421	0.8329104654
-55	40	1.87449966735582	-1.265405068	1.061800926	0.8860461675
-55	35	1.87209093848981	-1.330241877	0.9314453902	0.9314453902
-55	30	1.86995251855521	-1.384723102	0.7994702559	0.9695935546
-55	25	1.86810829317550	-1.429525835	0.6665988444	1.000964766
-55	20	1.86657560088832	-1.465270406	0.5333148128	1.025993383
-55	15	1.86536473509917	-1.492488873	0.3999111884	1.045051960
-55	10	1.86448238793738	-1.511607983	0.2665372717	1.058439305
-55	5	1.86393451169926	-1.522939797	0.1332399675	1.066373926
-55	-2.84217e-14	1.86372388297431	-1.526673229	-4.910155596e-16	1.068988103
-55	-5	1.86385475194308	-1.522874629	-0.1332342660	1.066328295
-55	-10	1.86433000102217	-1.511484437	-0.2665154873	1.058352797
-55	-15	1.86515229832351	-1.492318902	-0.3998656445	1.044932944
-55	-20	1.86632447534644	-1.465073271	-0.5332430616	1.025855348
-55	-25	1.86784398907279	-1.429323583	-0.6665045326	1.000823147
-55	-30	1.86970506392157	-1.384539859	-0.7993644604	0.9694652463
-55	-35	1.87189455769078	-1.330102336	-0.9313476823	0.9313476823
-55	-40	1.87438659004609	-1.265328734	-1.061736874	0.8859927176
-55	-45	1.87713946829864	-1.189519393	-1.189519393	0.8329104458

-50	45	1.87071350516666	-1.137619050	1.137619050	0.9545757249
-50	40	1.86753406879214	-1.203439846	1.009805931	1.009805931
-50	35	1.86469833981798	-1.258788556	0.8814132359	1.056249013
-50	30	1.86223189492984	-1.304647888	0.7532388095	1.094729562
-50	25	1.86014712079930	-1.341910633	0.6257432046	1.125996717
-50	20	1.85844359025549	-1.371344359	0.4991285278	1.150694546
-50	15	1.85711842432932	-1.393580895	0.3734088755	1.169353215
-50	10	1.85616663086765	-1.409109588	0.2484640391	1.182383336
-50	5	1.85558502018341	-1.418278915	0.1240833268	1.190077314
-50	-2.84217e-14	1.85537111104312	-1.421296730	-4.571238925e-16	1.192609562
-50	-5	1.85552654431559	-1.418234220	-0.1240794165	1.190039811
-50	-10	1.85605434448358	-1.409024346	-0.2484490086	1.182311809
-50	-15	1.85696137839986	-1.393463048	-0.3733772984	1.169254330
-50	-20	1.85825655304338	-1.371206345	-0.4990782945	1.150578738
-50	-25	1.85994728326310	-1.341766470	-0.6256759804	1.125875750
-50	-30	1.86204257609344	-1.304515255	-0.7531622335	1.094618269
-50	-35	1.86454470582417	-1.258684843	-0.8813406155	1.056161988
-50	-40	1.86744356231007	-1.203381523	-1.009756992	1.009756992
-50	-45	1.87071349820297	-1.137619045	-1.137619045	0.9545757214

-45	45	1.86338394519528	-1.075825222	1.075825222	1.075825222
-45	40	1.85977391284645	-1.130966460	0.9489935397	1.130966460
-45	35	1.85663469922813	-1.176525782	0.8238122213	1.176525782
-45	30	1.85396384235655	-1.213704235	0.7007324667	1.213704235
-45	25	1.85174823070996	-1.243528440	0.5798668349	1.243528440
-45	20	1.84996697036536	-1.266840877	0.4610923709	1.266840877
-45	15	1.84860052648868	-1.284308913	0.3441295361	1.284308913
-45	10	1.84763131916239	-1.296434568	0.2285963931	1.296434568
-45	5	1.84704675664029	-1.303567206	0.1140473527	1.303567206
-45	-2.84217e-14	1.84683872964858	-1.305912189	-4.200133941e-16	1.305912189
-45	-5	1.84700629899387	-1.303538653	-0.1140448546	1.303538653
-45	-10	1.84755321758792	-1.296379767	-0.2285867301	1.296379767
-45	-15	1.84849073251843	-1.284232634	-0.3441090972	1.284232634
-45	-20	1.84983466843322	-1.266750278	-0.4610593955	1.266750278
-45	-25	1.85160530765079	-1.243432461	-0.5798220791	1.243432461
-45	-30	1.85382654806757	-1.213614355	-0.7006805743	1.213614355
-45	-35	1.85652064612465	-1.176453508	-0.8237616145	1.176453508
-45	-40	1.85970535409961	-1.130924768	-0.9489585560	1.130924768
-45	-45	1.86338397897821	-1.075825242	-1.075825242	1.075825242


### -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	1.89728648395981	-1.341584139	-1.341584139	1.642966721e-16
-40	-90	1.89738103499602	-1.219613020	-1.453478198	1.779997423e-16
-35	-90	1.89744282862283	-1.088328496	-1.554294172	1.903461383e-16
-30	-90	1.89746564138138	-0.9487328207	-1.643253448	2.012405076e-16
-25	-90	1.89744614571761	-0.8018953918	-1.719670217	2.105988627e-16
-20	-90	1.89738318440972	-0.6489432687	-1.782956977	2.183492555e-16
-15	-90	1.89728653604139	-0.4910538895	-1.832638065	2.244334340e-16
-10	-90	1.89717318215161	-0.3294406658	-1.868350859	2.288069899e-16
-5	-90	1.89705651403572	-0.1653393695	-1.889837641	2.314383618e-16
-2.84217e-14	-90	1.89694760481240	-6.101048817e-16	-1.896947605	2.323090812e-16
5	-90	1.89685877001330	0.1653221350	-1.889640650	2.314142373e-16
10	-90	1.89680074219683	0.3293759923	-1.867984077	2.287620721e-16
15	-90	1.89677857493227	0.4909224195	-1.832147412	2.243733464e-16
20	-90	1.89679387567245	0.6487417132	-1.782403208	2.182814384e-16
25	-90	1.89684982439948	0.8016433756	-1.719129767	2.105326766e-16
30	-90	1.89694005009308	0.9484700250	-1.642798273	2.011847646e-16
35	-90	1.89705147089072	1.088104022	-1.553973591	1.903068784e-16
40	-90	1.89717182246686	1.219478541	-1.453317932	1.779801154e-16
45	-90	1.89728648165430	1.341584137	-1.341584137	1.642966719e-16

-45	-85	1.89689427879069	-1.338747472	-1.338747472	0.1171252271
-40	-85	1.89692010954515	-1.216587526	-1.449872555	0.1268474121
-35	-85	1.89691542937267	-1.085242610	-1.549887070	0.1355975484
-30	-85	1.89687651047240	-0.9457275710	-1.638048203	0.1433106481
-25	-85	1.89680185423875	-0.7991149541	-1.713707549	0.1499299832
-20	-85	1.89669269327497	-0.6465258885	-1.776315280	0.1554074498
-15	-85	1.89655928834724	-0.4891222312	-1.825429018	0.1597043451
-10	-85	1.89641921388187	-0.3280941949	-1.860714643	0.1627914373
-5	-85	1.89628672985801	-0.1646481177	-1.881936597	0.1646481177
-2.84217e-14	-85	1.89617346590572	-6.075352138e-16	-1.888957953	0.1652624068
5	-85	1.89609190739688	0.1646312020	-1.881743249	0.1646312020
10	-85	1.89605218081851	0.3280306956	-1.860354520	0.1627599306
15	-85	1.89605858394450	0.4889930996	-1.824947092	0.1596621821
20	-85	1.89611209167948	0.6463279787	-1.775771527	0.1553598776
25	-85	1.89621456995908	0.7988675336	-1.713176954	0.1498835621
30	-85	1.89635810499457	0.9454691091	-1.637600534	0.1432714821
35	-85	1.89652899378847	1.085021526	-1.549571330	0.1355699247
40	-85	1.89671310655290	1.216454765	-1.449714337	0.1268335698
45	-85	1.89689427544141	1.338747469	-1.338747469	0.1171252269

-45	-80	1.89571003757566	-1.330170148	-1.330170148	0.2345448860
-40	-80	1.89553259976708	-1.207459568	-1.438994278	0.2537335163
-35	-80	1.89533248242667	-1.075952451	-1.536619348	0.2709474502
-30	-80	1.89511295282677	-0.9366982570	-1.622408972	0.2860744756
-25	-80	1.89487754658915	-0.7907760445	-1.695824700	0.2990196492
-20	-80	1.89463453195655	-0.6392870282	-1.756426674	0.3097054123
-15	-80	1.89439518024948	-0.4833451131	-1.803868520	0.3180706897
-10	-80	1.89417863219959	-0.3240709871	-1.837897897	0.3240709871
-5	-80	1.89400123849346	-0.1625838747	-1.858342192	0.3276758678
-2.84217e-14	-80	1.89387591761923	-5.998630966e-16	-1.865103687	0.3288681018
5	-80	1.89381518846932	0.1625679039	-1.858159644	0.3276436798
10	-80	1.89382789405780	0.3240109801	-1.837557581	0.3240109801
15	-80	1.89391632730135	0.4832229363	-1.803412550	0.3179902899
20	-80	1.89407987181274	0.6390998749	-1.755912475	0.3096147451
25	-80	1.89431703551680	0.7905421304	-1.695323069	0.2989311982
30	-80	1.89461582487932	0.9364525413	-1.621983380	0.2859994322
35	-80	1.89496057468664	1.075741324	-1.536317828	0.2708942841
40	-80	1.89533220584471	1.207331916	-1.438842149	0.2537066918
45	-80	1.89571003342070	1.330170145	-1.330170145	0.2345448854

-45	-75	1.89371946621945	-1.315655143	-1.315655143	0.3525287330
-40	-75	1.89321244395746	-1.192080176	-1.420665833	0.3806662626
-35	-75	1.89269878801699	-1.060365590	-1.514359004	0.4057712721
-30	-75	1.89219208549163	-0.9216081894	-1.596272209	0.4277198492
-25	-75	1.89170492021233	-0.7768892690	-1.666044414	0.4464152552
-20	-75	1.89125224311520	-0.6272680857	-1.723404901	0.4617849516
-15	-75	1.89084947820695	-0.4737765530	-1.768158167	0.4737765530
-10	-75	1.89051671160250	-0.3174194913	-1.800175390	0.4823555420
-5	-75	1.89027201386825	-0.1591749100	-1.819377547	0.4875007445
-2.84217e-14	-75	1.89012918865636	-5.871978157e-16	-1.825724598	0.4892014317
5	-75	1.89010043841790	0.1591604621	-1.819212406	0.4874564952
10	-75	1.89019309726275	0.3173651561	-1.799867240	0.4822729734
15	-75	1.89040694243127	0.4736656700	-1.767744346	0.4736656700
20	-75	1.89073948516927	0.6270980202	-1.722937650	0.4616597520
25	-75	1.89118504731654	0.7766757665	-1.665586556	0.4462925727
30	-75	1.89172908846090	0.9213826828	-1.595881620	0.4276151912
35	-75	1.89235011881391	1.060170252	-1.514080032	0.4056965217
40	-75	1.89302296427963	1.191960868	-1.420523647	0.3806281641
45	-75	1.89371946184768	1.315655140	-1.315655140	0.3525287322

-45	-70	1.89089770778180	-1.294869881	-1.294869881	0.4712940940
-40	-70	1.88995088801558	-1.170202954	-1.394593575	0.5075905501
-35	-70	1.88902701690280	-1.038334166	-1.482894870	0.5397295932
-30	-70	1.88814917152931	-0.9004035132	-1.559544632	0.5676278251
-25	-70	1.88734177396699	-0.7574771577	-1.624415007	0.5912387106
-20	-70	1.88662460634893	-0.6105411108	-1.677447916	0.6105411108
-15	-70	1.88601859941061	-0.4605070586	-1.718635740	0.6255322529
-10	-70	1.88554349994540	-0.3082193517	-1.747998806	0.6362195348
-5	-70	1.88521785249130	-0.1544672470	-1.765568713	0.6426144580
-2.84217e-14	-70	1.88505508598090	-5.697168007e-16	-1.771372354	0.6447268107
5	-70	1.88506600080993	0.1544548049	-1.765426499	0.6425626963
10	-70	1.88525682899880	0.3081724912	-1.747733047	0.6361228064
15	-70	1.88562525144469	0.4604110153	-1.718277301	0.6254017919
20	-70	1.88616736866275	0.6103931416	-1.677041373	0.6103931416
25	-70	1.88687595544350	0.7572902033	-1.624014082	0.5910927858
30	-70	1.88773147896731	0.9002043277	-1.559199633	0.5675022556
35	-70	1.88870812241625	1.038158881	-1.482644536	0.5396384793
40	-70	1.88977621905422	1.170094804	-1.394464687	0.5075436387
45	-70	1.89089770805681	1.294869881	-1.294869881	0.4712940941

-45	-65	1.88721437054566	-1.267345476	-1.267345476	0.5909729010
-40	-65	1.88574097017103	-1.141489357	-1.360374043	0.6343528340
-35	-65	1.88433821997272	-1.009661042	-1.441945404	0.6723901845
-30	-65	1.88303721063009	-0.8730190411	-1.512113335	0.7051100282
-25	-65	1.88187115968604	-0.7325778549	-1.571018280	0.7325778549
-20	-65	1.88086465613890	-0.5892096542	-1.618840220	0.7548775921
-15	-65	1.88003806466095	-0.4436620445	-1.655769291	0.7720979007
-10	-65	1.87941113410481	-0.2965789842	-1.681983001	0.7843215544
-5	-65	1.87900074870543	-0.1485229203	-1.697624747	0.7916154203
-2.84217e-14	-65	1.87881878929349	-5.476584220e-16	-1.702788099	0.7940231309
5	-65	1.87887205788577	0.1485127481	-1.697508479	0.7915612034
10	-65	1.87916749874643	0.2965405375	-1.681764959	0.7842198797
15	-65	1.87970210014099	0.4435827617	-1.655473404	0.7719599261
20	-65	1.88047308507524	0.5890869886	-1.618503199	0.7547204366
25	-65	1.88147001634980	0.7324216971	-1.570683398	0.7324216971
30	-65	1.88267275857308	0.8728500728	-1.511820674	0.7049735578
35	-65	1.88405595257135	1.009509798	-1.441729406	0.6722894628
40	-65	1.88558474128546	1.141394788	-1.360261339	0.6343002795
45	-65	1.88721438037136	1.267345483	-1.267345483	0.5909729040

-45	-60	1.88263655527162	-1.232474932	-1.232474932	0.7115697335
-40	-60	1.88058391449561	-1.105517960	-1.317505000	0.7606618665
-35	-60	1.87867151080288	-0.9741144602	-1.391179625	0.8031979308
-30	-60	1.87693629108973	-0.8393914273	-1.453868599	0.8393914273
-25	-60	1.87540964284038	-0.7022538581	-1.505988259	0.8694827266
-20	-60	1.87411975793863	-0.5634102105	-1.547956831	0.8937132932
-15	-60	1.87308306387431	-0.4234003576	-1.580151647	0.9123009785
-10	-60	1.87231474420986	-0.2826329997	-1.602891393	0.9254297770
-5	-60	1.87182686647257	-0.1414181260	-1.616416576	0.9332385456
-2.84217e-14	-60	1.87162736023066	-5.213137519e-16	-1.620876840	0.9358136801
5	-60	1.87172284700059	0.1414102672	-1.616326750	0.9331866845
10	-60	1.87211708739308	0.2826031626	-1.602722178	0.9253320811
15	-60	1.87280947492436	0.4233385143	-1.579920844	0.9121677247
20	-60	1.87379950246544	0.5633139332	-1.547692312	0.8935605727
25	-60	1.87507835335259	0.7021298056	-1.505722227	0.8693291332
30	-60	1.87662914480349	0.8392540673	-1.453630685	0.8392540673
35	-60	1.87843097545885	0.9739897396	-1.391001505	0.8030950935
40	-60	1.88044886754043	1.105438571	-1.317410388	0.7606072424
45	-60	1.88263658000045	1.232474948	-1.232474948	0.7115697428

-45	-55	1.87713951261596	-1.189519421	-1.189519421	0.8329104655
-40	-55	1.87449966755653	-1.061800926	-1.265405068	0.8860461676
-35	-55	1.87209093866764	-0.9314453903	-1.330241877	0.9314453903
-30	-55	1.86995251870003	-0.7994702560	-1.384723103	0.9695935547
-25	-55	1.86810829328436	-0.6665988445	-1.429525835	1.000964766
-20	-55	1.86657560096267	-0.5333148128	-1.465270406	1.025993384
-15	-55	1.86536473514123	-0.3999111884	-1.492488874	1.045051960
-10	-55	1.86448238794949	-0.2665372717	-1.511607983	1.058439305
-5	-55	1.86393451168362	-0.1332399675	-1.522939797	1.066373926
-2.84217e-14	-55	1.86372388293226	-4.910155595e-16	-1.526673229	1.068988103
5	-55	1.86385475187554	0.1332342660	-1.522874629	1.066328295
10	-55	1.86433000092974	0.2665154872	-1.511484437	1.058352797
15	-55	1.86515229820548	0.3998656445	-1.492318902	1.044932944
20	-55	1.86632447520192	0.5332430616	-1.465073271	1.025855348
25	-55	1.86784398890143	0.6665045325	-1.429323582	1.000823147
30	-55	1.86970506372436	0.7993644603	-1.384539859	0.9694652462
35	-55	1.87189455747355	0.9313476822	-1.330102336	0.9313476822
40	-55	1.87438658982459	1.061736874	-1.265328734	0.8859927175
45	-55	1.87713946809511	1.189519393	-1.189519393	0.8329104457

-45	-50	1.87071350542366	-1.137619050	-1.137619050	0.9545757250
-40	-50	1.86753406904433	-1.009805931	-1.203439846	1.009805931
-35	-50	1.86469834003054	-0.8814132360	-1.258788556	1.056249013
-30	-50	1.86223189509476	-0.7532388096	-1.304647888	1.094729562
-25	-50	1.86014712091967	-0.6257432046	-1.341910633	1.125996717
-20	-50	1.85844359033674	-0.4991285278	-1.371344360	1.150694546
-15	-50	1.85711842437592	-0.3734088755	-1.393580895	1.169353215
-10	-50	1.85616663088267	-0.2484640391	-1.409109588	1.182383336
-5	-50	1.85558502016953	-0.1240833268	-1.418278915	1.190077314
-2.84217e-14	-50	1.85537111100264	-4.571238925e-16	-1.421296730	1.192609562
5	-50	1.85552654424953	0.1240794165	-1.418234220	1.190039811
10	-50	1.85605434439155	0.2484490086	-1.409024346	1.182311809
15	-50	1.85696137828035	0.3733772984	-1.393463048	1.169254330
20	-50	1.85825655289431	0.4990782945	-1.371206345	1.150578738
25	-50	1.85994728308151	0.6256759803	-1.341766470	1.125875750
30	-50	1.86204257587574	0.7531622334	-1.304515255	1.094618269
35	-50	1.86454470557083	0.8813406154	-1.258684843	1.056161988
40	-50	1.86744356203525	1.009756992	-1.203381523	1.009756992
45	-50	1.87071349794552	1.137619045	-1.137619045	0.9545757212

-45	-45	1.86338394555663	-1.075825223	-1.075825223	1.075825223
-40	-45	1.85977391316378	-0.9489935399	-1.130966460	1.130966460
-35	-45	1.85663469946765	-0.8238122214	-1.176525782	1.176525782
-30	-45	1.85396384253086	-0.7007324667	-1.213704235	1.213704235
-25	-45	1.85174823083359	-0.5798668349	-1.243528440	1.243528440
-20	-45	1.84996697044809	-0.4610923709	-1.266840877	1.266840877
-15	-45	1.84860052653628	-0.3441295361	-1.284308913	1.284308913
-10	-45	1.84763131917859	-0.2285963931	-1.296434568	1.296434568
-5	-45	1.84704675662845	-0.1140473527	-1.303567206	1.303567206
-2.84217e-14	-45	1.84683872961116	-4.200133941e-16	-1.305912189	1.305912189
5	-45	1.84700629893139	0.1140448546	-1.303538653	1.303538653
10	-45	1.84755321749972	0.2285867301	-1.296379767	1.296379767
15	-45	1.84849073240262	0.3441090972	-1.284232634	1.284232634
20	-45	1.84983466828681	0.4610593955	-1.266750278	1.266750278
25	-45	1.85160530746902	0.5798220791	-1.243432461	1.243432461
30	-45	1.85382654784228	0.7006805742	-1.213614354	1.213614354
35	-45	1.85652064584435	0.8237616144	-1.176453508	1.176453508
40	-45	1.85970535375829	0.9489585558	-1.130924768	1.130924768
45	-45	1.86338397861648	1.075825242	-1.075825242	1.075825242