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path: root/test/checkpoint/h.t1.ah2.gp
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# 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	1.86328172464797	-1.075766205	-1.075766205	1.075766205
-40	-45	1.85966246594113	-0.9489366713	-1.130898687	1.130898687
-35	-45	1.85652104442878	-0.8237617912	-1.176453760	1.176453760
-30	-45	1.85385329023144	-0.7006906819	-1.213631861	1.213631861
-25	-45	1.85164421842459	-0.5798342639	-1.243458592	1.243458592
-20	-45	1.84987181994696	-0.4610686553	-1.266775719	1.266775719
-15	-45	1.84851533793535	-0.3441136777	-1.284249729	1.284249729
-10	-45	1.84755626902564	-0.2285871076	-1.296381908	1.296381908
-5	-45	1.84698192162331	-0.1140433494	-1.303521448	1.303521448
0	-45	1.84678333862544	0.000000000	-1.305873022	1.305873022
5	-45	1.84695895872532	0.1140419315	-1.303505242	1.303505242
10	-45	1.84751203658472	0.2285816350	-1.296350871	1.296350871
15	-45	1.84845146394640	0.3441017871	-1.284205352	1.284205352
20	-45	1.84979453013281	0.4610493913	-1.266722792	1.266722792
25	-45	1.85156096384958	0.5798081931	-1.243402683	1.243402683
30	-45	1.85377375204839	0.7006606193	-1.213579791	1.213579791
35	-45	1.85645505372829	0.8237325103	-1.176411943	1.176411943
40	-45	1.85962301505228	0.9489165405	-1.130874696	1.130874696
45	-45	1.86328172267873	1.075766204	-1.075766204	1.075766204

-45	-40	1.85962301591999	-1.130874697	-0.9489165410	1.130874697
-40	-40	1.85513915423794	-1.003103800	-1.003103800	1.195452557
-35	-40	1.85116510640798	-0.8750162918	-1.048583181	1.249652773
-30	-40	1.84773022357668	-0.7473731482	-1.086204626	1.294488265
-25	-40	1.84484315135311	-0.6205950339	-1.116732816	1.330870345
-20	-40	1.84249967730485	-0.4948464167	-1.140822536	1.359579356
-15	-40	1.84069051250916	-0.3701057323	-1.159009216	1.381253397
-10	-40	1.83940444170906	-0.2462202744	-1.171705774	1.396384566
-5	-40	1.83863283575678	-0.1229497310	-1.179205051	1.405321855
0	-40	1.83836983480459	0.000000000	-1.181681352	1.408272996
5	-40	1.83861509579685	0.1229485447	-1.179193673	1.405308296
10	-40	1.83937020147205	0.2462156910	-1.171683963	1.396358572
15	-40	1.84064272413235	0.3700961235	-1.158979126	1.381217537
20	-40	1.84244443941667	0.4948315813	-1.140788335	1.359538596
25	-40	1.84478683698156	0.6205760901	-1.116698727	1.330829720
30	-40	1.84768236596058	0.7473537906	-1.086176492	1.294454737
35	-40	1.85113595056094	0.8750025103	-1.048566666	1.249633091
40	-40	1.85513915337143	1.003103799	-1.003103799	1.195452556
45	-40	1.85966246512673	1.130898687	-0.9489366709	1.130898687

-45	-35	1.85645505426541	-1.176411943	-0.8237325106	1.176411943
-40	-35	1.85113595117534	-1.048566666	-0.8750025106	1.249633091
-35	-35	1.84633466093703	-0.9186305394	-0.9186305394	1.311940374
-30	-35	1.84211774446726	-0.7875699142	-0.9551608793	1.364111106
-25	-35	1.83852374964205	-0.6560421639	-0.9851128552	1.406886961
-20	-35	1.83557380463960	-0.5244570322	-1.008952746	1.440933853
-15	-35	1.83327664713672	-0.3930318981	-1.027074929	1.466815013
-10	-35	1.83163426074305	-0.2618414643	-1.039791905	1.484976736
-5	-35	1.83064528548755	-0.1308603477	-1.047328856	1.495740618
0	-35	1.83031046294324	0.000000000	-1.049822953	1.499302557
5	-35	1.83063327131525	0.1308594889	-1.047321983	1.495730802
10	-35	1.83161022595729	0.2618380284	-1.039778261	1.484957250
15	-35	1.83324378292787	0.3930248525	-1.027056517	1.466788718
20	-35	1.83553823701760	0.5244468698	-1.008933196	1.440905933
25	-35	1.83849151714880	0.6560306623	-0.9850955845	1.406862295
30	-35	1.84209699228346	0.7875610419	-0.9551501191	1.364095739
35	-35	1.84633466041281	0.9186305391	-0.9186305391	1.311940373
40	-35	1.85116510583357	1.048583181	-0.8750162915	1.249652773
45	-35	1.85652104396506	1.176453760	-0.8237617910	1.176453760

-45	-30	1.85377375244437	-1.213579792	-0.7006606194	1.213579792
-40	-30	1.84768236640608	-1.086176492	-0.7473537908	1.294454737
-35	-30	1.84209699270382	-0.9551501193	-0.7875610421	1.364095739
-30	-30	1.83712078678548	-0.8215853924	-0.8215853924	1.423027642
-25	-30	1.83282770215568	-0.6863088979	-0.8497407667	1.471794181
-20	-30	1.82926776894987	-0.5499265105	-0.8723246820	1.510910670
-15	-30	1.82647298887793	-0.4128644007	-0.8895991465	1.540830920
-10	-30	1.82446378602127	-0.2754097164	-0.9017784643	1.561926117
-5	-30	1.82325169754529	-0.1377482303	-0.9090203762	1.574469477
0	-30	1.82284346613369	0.000000000	-0.9114217331	1.578628749
5	-30	1.82324304985813	0.1377475769	-0.9090160648	1.574462009
10	-30	1.82444790406479	0.2754073189	-0.9017706143	1.561912521
15	-30	1.82645266456968	0.4128598065	-0.8895892474	1.540813774
20	-30	1.82924807134959	0.5499205889	-0.8723152888	1.510894400
25	-30	1.83281443491759	0.6863039300	-0.8497346157	1.471783527
30	-30	1.83712078643959	0.8215853923	-0.8215853923	1.423027642
35	-30	1.84211774407734	0.9551608791	-0.7875699140	1.364111106
40	-30	1.84773022319357	1.086204625	-0.7473731480	1.294488265
45	-30	1.85385328992194	1.213631861	-0.7006906818	1.213631861

-45	-25	1.85156096415992	-1.243402683	-0.5798081932	1.243402683
-40	-25	1.84478683731980	-1.116698727	-0.6205760902	1.330829720
-35	-25	1.83849151747766	-0.9850955846	-0.6560306624	1.406862296
-30	-25	1.83281443520395	-0.8497346158	-0.6863039301	1.471783528
-25	-25	1.82786442415325	-0.7115540253	-0.7115540253	1.525932532
-20	-25	1.82372251627301	-0.5713090039	-0.7319438202	1.569658588
-15	-25	1.82044787573844	-0.4295996138	-0.7476252793	1.603287585
-10	-25	1.81808200575953	-0.2869009897	-0.7587274965	1.627096367
-5	-25	1.81665083714724	-0.1435945609	-0.7653476546	1.641293342
0	-25	1.81616972946466	0.000000000	-0.7675464941	1.646008768
5	-25	1.81664539346247	0.1435941306	-0.7653453612	1.641288424
10	-25	1.81807302593359	0.2868995727	-0.7587237490	1.627088331
15	-25	1.82043740645811	0.4295971432	-0.7476209798	1.603278365
20	-25	1.82371457780540	0.5713065171	-0.7319406341	1.569651755
25	-25	1.82786442392470	0.7115540252	-0.7115540252	1.525932531
30	-25	1.83282770189290	0.8497407666	-0.6863088978	1.471794181
35	-25	1.83852374936401	0.9851128550	-0.6560421638	1.406886960
40	-25	1.84484315109167	1.116732816	-0.6205950338	1.330870345
45	-25	1.85164421821079	1.243458591	-0.5798342638	1.243458591

-45	-20	1.84979453037932	-1.266722792	-0.4610493913	1.266722792
-40	-20	1.84244443967856	-1.140788335	-0.4948315814	1.359538596
-35	-20	1.83553823727318	-1.008933196	-0.5244468699	1.440905933
-30	-20	1.82924807157776	-0.8723152889	-0.5499205890	1.510894401
-25	-20	1.82371457799305	-0.7319406342	-0.5713065172	1.569651755
-20	-20	1.81904999164073	-0.5886729129	-0.5886729129	1.617365536
-15	-20	1.81533998173744	-0.4432495393	-0.6020904083	1.654229801
-10	-20	1.81264783115298	-0.2963035005	-0.6116230996	1.680420655
-5	-20	1.81101504207052	-0.1483873641	-0.6173209362	1.696075333
0	-20	1.81046628190918	0.000000000	-0.6192159372	1.701281805
5	-20	1.81101164610629	0.1483870859	-0.6173197786	1.696072152
10	-20	1.81264399721840	0.2963028738	-0.6116218060	1.680417101
15	-20	1.81533664600020	0.4432487249	-0.6020893019	1.654226762
20	-20	1.81904999149775	0.5886729128	-0.5886729128	1.617365535
25	-20	1.82372251610347	0.7319438201	-0.5713090039	1.569658588
30	-20	1.82926776876238	0.8723246819	-0.5499265105	1.510910670
35	-20	1.83557380444905	1.008952746	-0.5244570321	1.440933853
40	-20	1.84249967713024	1.140822536	-0.4948464167	1.359579356
45	-20	1.84987181980492	1.266775719	-0.4610686552	1.266775719

-45	-15	1.84845146413985	-1.284205353	-0.3441017871	1.284205353
-40	-15	1.84064272433330	-1.158979126	-0.3700961236	1.381217537
-35	-15	1.83324378312275	-1.027056517	-0.3930248525	1.466788718
-30	-15	1.82645266474487	-0.8895892474	-0.4128598065	1.540813774
-25	-15	1.82043740660443	-0.7476209799	-0.4295971432	1.603278365
-20	-15	1.81533664611332	-0.6020893020	-0.4432487249	1.654226762
-15	-15	1.81126001399703	-0.4538343935	-0.4538343935	1.693733015
-10	-15	1.80829048462556	-0.3036136323	-0.4613759463	1.721878473
-5	-15	1.80648495900778	-0.1521194192	-0.4658920811	1.738732917
0	-15	1.80587850720892	0.000000000	-0.4673957508	1.744344689
5	-15	1.80648364763792	0.1521193087	-0.4658917429	1.738731655
10	-15	1.80828929052385	0.3036134318	-0.4613756416	1.721877336
15	-15	1.81126001391699	0.4538343934	-0.4538343934	1.693733015
20	-15	1.81533998163838	0.6020904083	-0.4432495393	1.654229801
25	-15	1.82044787562418	0.7476252793	-0.4295996137	1.603287585
30	-15	1.82647298875584	0.8895991464	-0.4128644007	1.540830920
35	-15	1.83327664701687	1.027074929	-0.3930318981	1.466815013
40	-15	1.84069051240305	1.159009216	-0.3701057323	1.381253397
45	-15	1.84851533785258	1.284249729	-0.3441136777	1.284249729

-45	-10	1.84751203673107	-1.296350871	-0.2285816350	1.296350871
-40	-10	1.83937020162024	-1.171683963	-0.2462156911	1.396358572
-35	-10	1.83161022609870	-1.039778261	-0.2618380285	1.484957250
-30	-10	1.82444790419096	-0.9017706144	-0.2754073189	1.561912521
-25	-10	1.81807302603871	-0.7587237491	-0.2868995727	1.627088331
-20	-10	1.81264399730015	-0.6116218060	-0.2963028738	1.680417101
-15	-10	1.80828929058216	-0.4613756416	-0.3036134318	1.721877336
-10	-10	1.80510854593505	-0.3088321758	-0.3088321758	1.751474304
-5	-10	1.80317113326386	-0.1547868838	-0.3119616048	1.769222178
0	-10	1.80252021456825	0.000000000	-0.3130043505	1.775135882
5	-10	1.80317076276028	0.1547868520	-0.3119615407	1.769221814
10	-10	1.80510854589894	0.3088321758	-0.3088321758	1.751474304
15	-10	1.80829048457682	0.4613759463	-0.3036136323	1.721878473
20	-10	1.81264783109465	0.6116230996	-0.2963035005	1.680420655
25	-10	1.81808200569524	0.7587274965	-0.2869009897	1.627096367
30	-10	1.82446378595612	0.9017784643	-0.2754097163	1.561926117
35	-10	1.83163426068326	1.039791905	-0.2618414643	1.484976736
40	-10	1.83940444166111	1.171705774	-0.2462202744	1.396384566
45	-10	1.84755626899475	1.296381908	-0.2285871076	1.296381908

-45	-5	1.84695895882779	-1.303505242	-0.1140419315	1.303505242
-40	-5	1.83861509589653	-1.179193673	-0.1229485447	1.405308296
-35	-5	1.83063327140701	-1.047321983	-0.1308594889	1.495730802
-30	-5	1.82324304993766	-0.9090160648	-0.1377475769	1.574462009
-25	-5	1.81664539352694	-0.7653453612	-0.1435941306	1.641288424
-20	-5	1.81101164615555	-0.6173197786	-0.1483870859	1.696072152
-15	-5	1.80648364767240	-0.4658917429	-0.1521193088	1.738731655
-10	-5	1.80317076278118	-0.3119615407	-0.1547868520	1.769221814
-5	-5	1.80115069161593	-0.1563877796	-0.1563877796	1.787520500
0	-5	1.80047177518783	0.000000000	-0.1569214549	1.793620437
5	-5	1.80115069160677	0.1563877796	-0.1563877796	1.787520500
10	-5	1.80317113324836	0.3119616048	-0.1547868838	1.769222178
15	-5	1.80648495898851	0.4658920811	-0.1521194192	1.738732917
20	-5	1.81101504205017	0.6173209362	-0.1483873641	1.696075333
25	-5	1.81665083712861	0.7653476546	-0.1435945609	1.641293342
30	-5	1.82325169753129	0.9090203762	-0.1377482303	1.574469477
35	-5	1.83064528548123	1.047328856	-0.1308603477	1.495740618
40	-5	1.83863283576080	1.179205051	-0.1229497310	1.405321855
45	-5	1.84698192163933	1.303521448	-0.1140433494	1.303521448

-45	0	1.84678333868516	-1.305873022	0.000000000	1.305873022
-40	0	1.83836983485708	-1.181681352	0.000000000	1.408272996
-35	0	1.83031046298663	-1.049822953	0.000000000	1.499302557
-30	0	1.82284346616726	-0.9114217331	0.000000000	1.578628749
-25	0	1.81616972948856	-0.7675464941	0.000000000	1.646008768
-20	0	1.81046628192460	-0.6192159372	0.000000000	1.701281805
-15	0	1.80587850721743	-0.4673957508	0.000000000	1.744344689
-10	0	1.80252021457177	-0.3130043505	0.000000000	1.775135882
-5	0	1.80047177518860	-0.1569214549	0.000000000	1.793620437
0	0	1.79978319306199	0.000000000	0.000000000	1.799783193
5	0	1.80047177518860	0.1569214549	0.000000000	1.793620437
10	0	1.80252021457176	0.3130043505	0.000000000	1.775135882
15	0	1.80587850721743	0.4673957508	0.000000000	1.744344689
20	0	1.81046628192459	0.6192159372	0.000000000	1.701281805
25	0	1.81616972948855	0.7675464941	0.000000000	1.646008768
30	0	1.82284346616725	0.9114217331	0.000000000	1.578628749
35	0	1.83031046298662	1.049822953	0.000000000	1.499302557
40	0	1.83836983485707	1.181681352	0.000000000	1.408272996
45	0	1.84678333868515	1.305873022	0.000000000	1.305873022

-45	5	1.84698192163933	-1.303521448	0.1140433494	1.303521448
-40	5	1.83863283576080	-1.179205051	0.1229497310	1.405321855
-35	5	1.83064528548124	-1.047328856	0.1308603477	1.495740618
-30	5	1.82325169753129	-0.9090203762	0.1377482303	1.574469477
-25	5	1.81665083712860	-0.7653476546	0.1435945609	1.641293342
-20	5	1.81101504205015	-0.6173209362	0.1483873641	1.696075333
-15	5	1.80648495898848	-0.4658920811	0.1521194192	1.738732917
-10	5	1.80317113324829	-0.3119616048	0.1547868838	1.769222178
-5	5	1.80115069160666	-0.1563877796	0.1563877796	1.787520500
0	5	1.80047177518761	0.000000000	0.1569214549	1.793620437
5	5	1.80115069161581	0.1563877796	0.1563877796	1.787520500
10	5	1.80317076278110	0.3119615407	0.1547868520	1.769221814
15	5	1.80648364767235	0.4658917429	0.1521193088	1.738731655
20	5	1.81101164615552	0.6173197786	0.1483870859	1.696072152
25	5	1.81664539352692	0.7653453612	0.1435941306	1.641288424
30	5	1.82324304993765	0.9090160648	0.1377475769	1.574462009
35	5	1.83063327140700	1.047321983	0.1308594889	1.495730802
40	5	1.83861509589652	1.179193673	0.1229485447	1.405308296
45	5	1.84695895882779	1.303505242	0.1140419315	1.303505242

-45	10	1.84755626899475	-1.296381908	0.2285871076	1.296381908
-40	10	1.83940444166111	-1.171705774	0.2462202744	1.396384566
-35	10	1.83163426068326	-1.039791905	0.2618414643	1.484976736
-30	10	1.82446378595611	-0.9017784643	0.2754097163	1.561926117
-25	10	1.81808200569522	-0.7587274965	0.2869009897	1.627096367
-20	10	1.81264783109461	-0.6116230996	0.2963035005	1.680420655
-15	10	1.80829048457675	-0.4613759463	0.3036136323	1.721878473
-10	10	1.80510854589884	-0.3088321758	0.3088321758	1.751474304
-5	10	1.80317076276011	-0.1547868520	0.3119615407	1.769221814
0	10	1.80252021456799	0.000000000	0.3130043505	1.775135882
5	10	1.80317113326368	0.1547868838	0.3119616048	1.769222178
10	10	1.80510854593493	0.3088321758	0.3088321758	1.751474304
15	10	1.80828929058208	0.4613756416	0.3036134318	1.721877336
20	10	1.81264399730009	0.6116218060	0.2963028738	1.680417101
25	10	1.81807302603867	0.7587237491	0.2868995727	1.627088331
30	10	1.82444790419093	0.9017706144	0.2754073189	1.561912521
35	10	1.83161022609868	1.039778261	0.2618380285	1.484957250
40	10	1.83937020162023	1.171683963	0.2462156911	1.396358572
45	10	1.84751203673106	1.296350871	0.2285816350	1.296350871

-45	15	1.84851533785258	-1.284249729	0.3441136777	1.284249729
-40	15	1.84069051240304	-1.159009216	0.3701057323	1.381253397
-35	15	1.83327664701686	-1.027074929	0.3930318981	1.466815013
-30	15	1.82647298875582	-0.8895991464	0.4128644007	1.540830920
-25	15	1.82044787562415	-0.7476252793	0.4295996137	1.603287585
-20	15	1.81533998163832	-0.6020904083	0.4432495393	1.654229801
-15	15	1.81126001391691	-0.4538343934	0.4538343934	1.693733015
-10	15	1.80828929052371	-0.3036134318	0.4613756416	1.721877336
-5	15	1.80648364763773	-0.1521193087	0.4658917429	1.738731655
0	15	1.80587850720870	0.000000000	0.4673957508	1.744344689
5	15	1.80648495900759	0.1521194192	0.4658920811	1.738732917
10	15	1.80829048462542	0.3036136323	0.4613759463	1.721878473
15	15	1.81126001399693	0.4538343935	0.4538343935	1.693733015
20	15	1.81533664611325	0.6020893020	0.4432487249	1.654226762
25	15	1.82043740660438	0.7476209799	0.4295971432	1.603278365
30	15	1.82645266474484	0.8895892474	0.4128598065	1.540813774
35	15	1.83324378312272	1.027056517	0.3930248525	1.466788718
40	15	1.84064272433329	1.158979126	0.3700961236	1.381217537
45	15	1.84845146413984	1.284205353	0.3441017871	1.284205353

-45	20	1.84987181980491	-1.266775719	0.4610686552	1.266775719
-40	20	1.84249967713024	-1.140822536	0.4948464167	1.359579356
-35	20	1.83557380444904	-1.008952746	0.5244570321	1.440933853
-30	20	1.82926776876236	-0.8723246819	0.5499265105	1.510910670
-25	20	1.82372251610343	-0.7319438201	0.5713090039	1.569658588
-20	20	1.81904999149768	-0.5886729128	0.5886729128	1.617365535
-15	20	1.81533664600010	-0.4432487249	0.6020893019	1.654226762
-10	20	1.81264399721825	-0.2963028738	0.6116218060	1.680417101
-5	20	1.81101164610606	-0.1483870859	0.6173197786	1.696072152
0	20	1.81046628190883	0.000000000	0.6192159372	1.701281805
5	20	1.81101504207029	0.1483873641	0.6173209362	1.696075333
10	20	1.81264783115282	0.2963035005	0.6116230996	1.680420655
15	20	1.81533998173733	0.4432495393	0.6020904083	1.654229801
20	20	1.81904999164066	0.5886729129	0.5886729129	1.617365536
25	20	1.82371457799300	0.7319406342	0.5713065172	1.569651755
30	20	1.82924807157773	0.8723152889	0.5499205890	1.510894401
35	20	1.83553823727315	1.008933196	0.5244468699	1.440905933
40	20	1.84244443967854	1.140788335	0.4948315814	1.359538596
45	20	1.84979453037931	1.266722792	0.4610493913	1.266722792

-45	25	1.85164421821079	-1.243458591	0.5798342638	1.243458591
-40	25	1.84484315109167	-1.116732816	0.6205950338	1.330870345
-35	25	1.83852374936400	-0.9851128550	0.6560421638	1.406886960
-30	25	1.83282770189287	-0.8497407666	0.6863088978	1.471794181
-25	25	1.82786442392466	-0.7115540252	0.7115540252	1.525932531
-20	25	1.82371457780534	-0.5713065171	0.7319406341	1.569651755
-15	25	1.82043740645802	-0.4295971432	0.7476209798	1.603278365
-10	25	1.81807302593345	-0.2868995727	0.7587237490	1.627088331
-5	25	1.81664539346226	-0.1435941306	0.7653453612	1.641288424
0	25	1.81616972946435	0.000000000	0.7675464941	1.646008768
5	25	1.81665083714703	0.1435945609	0.7653476546	1.641293342
10	25	1.81808200575939	0.2869009897	0.7587274965	1.627096367
15	25	1.82044787573834	0.4295996138	0.7476252793	1.603287585
20	25	1.82372251627294	0.5713090039	0.7319438202	1.569658588
25	25	1.82786442415320	0.7115540253	0.7115540253	1.525932532
30	25	1.83281443520391	0.8497346158	0.6863039301	1.471783528
35	25	1.83849151747763	0.9850955846	0.6560306624	1.406862296
40	25	1.84478683731978	1.116698727	0.6205760902	1.330829720
45	25	1.85156096415991	1.243402683	0.5798081932	1.243402683

-45	30	1.85385328992193	-1.213631861	0.7006906818	1.213631861
-40	30	1.84773022319357	-1.086204625	0.7473731480	1.294488265
-35	30	1.84211774407732	-0.9551608791	0.7875699140	1.364111106
-30	30	1.83712078643957	-0.8215853923	0.8215853923	1.423027642
-25	30	1.83281443491756	-0.6863039300	0.8497346157	1.471783527
-20	30	1.82924807134954	-0.5499205889	0.8723152888	1.510894400
-15	30	1.82645266456961	-0.4128598065	0.8895892474	1.540813774
-10	30	1.82444790406470	-0.2754073189	0.9017706143	1.561912521
-5	30	1.82324304985799	-0.1377475769	0.9090160648	1.574462009
0	30	1.82284346613348	0.000000000	0.9114217331	1.578628749
5	30	1.82325169754515	0.1377482303	0.9090203762	1.574469477
10	30	1.82446378602117	0.2754097164	0.9017784643	1.561926117
15	30	1.82647298887786	0.4128644007	0.8895991465	1.540830920
20	30	1.82926776894982	0.5499265105	0.8723246820	1.510910670
25	30	1.83282770215564	0.6863088979	0.8497407667	1.471794181
30	30	1.83712078678545	0.8215853924	0.8215853924	1.423027642
35	30	1.84209699270380	0.9551501193	0.7875610421	1.364095739
40	30	1.84768236640606	1.086176492	0.7473537908	1.294454737
45	30	1.85377375244435	1.213579792	0.7006606194	1.213579792

-45	35	1.85652104396505	-1.176453760	0.8237617910	1.176453760
-40	35	1.85116510583356	-1.048583181	0.8750162915	1.249652773
-35	35	1.84633466041280	-0.9186305391	0.9186305391	1.311940373
-30	35	1.84209699228345	-0.7875610419	0.9551501191	1.364095739
-25	35	1.83849151714878	-0.6560306623	0.9850955845	1.406862295
-20	35	1.83553823701758	-0.5244468698	1.008933196	1.440905933
-15	35	1.83324378292784	-0.3930248525	1.027056517	1.466788718
-10	35	1.83161022595727	-0.2618380284	1.039778261	1.484957250
-5	35	1.83063327131524	-0.1308594889	1.047321983	1.495730802
0	35	1.83031046294326	0.000000000	1.049822953	1.499302557
5	35	1.83064528548754	0.1308603477	1.047328856	1.495740618
10	35	1.83163426074303	0.2618414643	1.039791905	1.484976736
15	35	1.83327664713669	0.3930318981	1.027074929	1.466815013
20	35	1.83557380463957	0.5244570322	1.008952746	1.440933853
25	35	1.83852374964202	0.6560421639	0.9851128552	1.406886961
30	35	1.84211774446724	0.7875699142	0.9551608793	1.364111106
35	35	1.84633466093702	0.9186305394	0.9186305394	1.311940374
40	35	1.85113595117533	1.048566666	0.8750025106	1.249633091
45	35	1.85645505426540	1.176411943	0.8237325106	1.176411943

-45	40	1.85966246512673	-1.130898687	0.9489366709	1.130898687
-40	40	1.85513915337142	-1.003103799	1.003103799	1.195452556
-35	40	1.85113595056093	-0.8750025103	1.048566666	1.249633091
-30	40	1.84768236596057	-0.7473537906	1.086176492	1.294454737
-25	40	1.84478683698156	-0.6205760901	1.116698727	1.330829720
-20	40	1.84244443941667	-0.4948315813	1.140788335	1.359538596
-15	40	1.84064272413237	-0.3700961235	1.158979126	1.381217537
-10	40	1.83937020147209	-0.2462156910	1.171683963	1.396358572
-5	40	1.83861509579697	-0.1229485447	1.179193673	1.405308296
0	40	1.83836983480483	0.000000000	1.181681352	1.408272996
5	40	1.83863283575690	0.1229497310	1.179205051	1.405321855
10	40	1.83940444170912	0.2462202744	1.171705774	1.396384566
15	40	1.84069051250918	0.3701057323	1.159009216	1.381253397
20	40	1.84249967730485	0.4948464167	1.140822536	1.359579356
25	40	1.84484315135310	0.6205950339	1.116732816	1.330870345
30	40	1.84773022357668	0.7473731482	1.086204626	1.294488265
35	40	1.85116510640798	0.8750162918	1.048583181	1.249652773
40	40	1.85513915423793	1.003103800	1.003103800	1.195452557
45	40	1.85962301591999	1.130874697	0.9489165410	1.130874697

-45	45	1.86328172267872	-1.075766204	1.075766204	1.075766204
-40	45	1.85962301505228	-0.9489165405	1.130874696	1.130874696
-35	45	1.85645505372829	-0.8237325103	1.176411943	1.176411943
-30	45	1.85377375204839	-0.7006606193	1.213579791	1.213579791
-25	45	1.85156096384959	-0.5798081931	1.243402683	1.243402683
-20	45	1.84979453013283	-0.4610493913	1.266722792	1.266722792
-15	45	1.84845146394644	-0.3441017871	1.284205352	1.284205352
-10	45	1.84751203658479	-0.2285816350	1.296350871	1.296350871
-5	45	1.84695895872544	-0.1140419315	1.303505242	1.303505242
0	45	1.84678333862562	0.000000000	1.305873022	1.305873022
5	45	1.84698192162344	0.1140433494	1.303521448	1.303521448
10	45	1.84755626902572	0.2285871076	1.296381908	1.296381908
15	45	1.84851533793540	0.3441136777	1.284249729	1.284249729
20	45	1.84987181994698	0.4610686553	1.266775719	1.266775719
25	45	1.85164421842460	0.5798342639	1.243458592	1.243458592
30	45	1.85385329023145	0.7006906819	1.213631861	1.213631861
35	45	1.85652104442878	0.8237617912	1.176453760	1.176453760
40	45	1.85966246594113	0.9489366713	1.130898687	1.130898687
45	45	1.86328172464797	1.075766205	1.075766205	1.075766205


### +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	1.86328159999823	1.075766133	-1.075766133	1.075766133
45	-40	1.85966235052261	1.130898617	-0.9489366124	1.130898617
45	-35	1.85652102322259	1.176453747	-0.8237617818	1.176453747
45	-30	1.85385319941753	1.213631802	-0.7006906476	1.213631802
45	-25	1.85164418879264	1.243458572	-0.5798342546	1.243458572
45	-20	1.84987180439140	1.266775709	-0.4610686514	1.266775709
45	-15	1.84851533498728	1.284249727	-0.3441136771	1.284249727
45	-10	1.84755626773955	1.296381907	-0.2285871075	1.296381907
45	-5	1.84698192166643	1.303521449	-0.1140433494	1.303521449
45	0	1.84678333880526	1.305873022	0.000000000	1.305873022
45	5	1.84695895914492	1.303505243	0.1140419316	1.303505243
45	10	1.84751203797542	1.296350872	0.2285816352	1.296350872
45	15	1.84845146001312	1.284205350	0.3441017864	1.284205350
45	20	1.84979452446735	1.266722788	0.4610493899	1.266722788
45	25	1.85156092756266	1.243402658	0.5798081817	1.243402658
45	30	1.85377369917968	1.213579757	0.7006605993	1.213579757
45	35	1.85645499513534	1.176411906	0.8237324843	1.176411906
45	40	1.85962288577640	1.130874618	0.9489164746	1.130874618
45	45	1.86328163328929	1.075766153	1.075766153	1.075766153

50	-45	1.87060988889035	1.137556038	-1.137556038	0.9545228523
50	-40	1.86741119820860	1.203360668	-1.009739493	1.009739493
50	-35	1.86456567115243	1.258698996	-0.8813505255	1.056173864
50	-30	1.86209726823147	1.304553571	-0.7531843555	1.094650420
50	-25	1.86001656955726	1.341816453	-0.6256992879	1.125917691
50	-20	1.85832156495172	1.371254317	-0.4990957550	1.150618992
50	-15	1.85700786287812	1.393497930	-0.3733866450	1.169283599
50	-10	1.85606912608598	1.409035567	-0.2484509873	1.182321225
50	-5	1.85550121217693	1.418214858	-0.1240777225	1.190023564
50	0	1.85530055704316	1.421242682	0.000000000	1.192564210
50	5	1.85546771137261	1.418189252	0.1240754823	1.190002079
50	10	1.85600465061920	1.408986621	0.2484423567	1.182280154
50	15	1.85691717302564	1.393429876	0.3733684101	1.169226495
50	20	1.85821390607658	1.371174876	0.4990668407	1.150552332
50	25	1.85990162670485	1.341733533	0.6256606217	1.125848113
50	30	1.86198888755596	1.304477642	0.7531405175	1.094586708
50	35	1.86447805519057	1.258639850	0.8813091109	1.056124234
50	40	1.86735971177531	1.203327490	1.009711653	1.009711653
50	45	1.87060987635224	1.137556031	1.137556031	0.9545228459

55	-45	1.87704512107501	1.189459606	-1.189459606	0.8328685828
55	-40	1.87437677116274	1.265322105	-1.061731312	0.8859880764
55	-35	1.87195067895903	1.330142214	-0.9313756050	0.9313756050
55	-30	1.86980497410130	1.384613844	-0.7994071755	0.9695170510
55	-25	1.86796211049966	1.429413972	-0.6665466819	1.000886439
55	-20	1.86643771449517	1.465162164	-0.5332754161	1.025917592
55	-15	1.86524024283896	1.492389267	-0.3998844988	1.044982214
55	-10	1.86437431308945	1.511520363	-0.2665218219	1.058377952
55	-5	1.86384450918115	1.522866260	-0.1332335338	1.066322435
55	0	1.86365195969291	1.526614313	0.000000000	1.068946850
55	5	1.86379921540468	1.522829252	0.1332302960	1.066296522
55	10	1.86428766452227	1.511450114	0.2665094350	1.058328763
55	15	1.86511882209663	1.492292117	0.3998584676	1.044914190
55	20	1.86629481215864	1.465049985	0.5332345863	1.025839043
55	25	1.86781218517539	1.429299245	0.6664931839	1.000806106
55	30	1.86966490099690	1.384510118	0.7993472893	0.9694444214
55	35	1.87184019070863	1.330063705	0.9313206324	0.9313206324
55	40	1.87431335031288	1.265279292	1.061695387	0.8859580984
55	45	1.87704507626860	1.189459578	1.189459578	0.8328685629

60	-45	1.88255927952036	1.232424343	-1.232424343	0.7115405260
60	-40	1.88047074853886	1.317425718	-1.105451434	0.7606160929
60	-35	1.87853447098898	1.391078145	-0.9740434033	0.8031393414
60	-30	1.87678742187442	1.453753286	-0.8393248509	0.8393248509
60	-25	1.87526005417533	1.505868136	-0.7021978441	0.8694133738
60	-20	1.87397879629190	1.547840402	-0.5633678337	0.8936460727
60	-15	1.87295808808825	1.580046216	-0.4233721075	0.9122401080
60	-10	1.87221063920297	1.602802268	-0.2826172846	0.9253783210
60	-5	1.87174628735122	1.616346992	-0.1414120382	0.9331983712
60	0	1.87157061596759	1.620827698	0.000000000	0.9357853080
60	5	1.87168787079902	1.616296547	0.1414076247	0.9331692464
60	10	1.87209982850445	1.602707403	0.2826005573	0.9253235506
60	15	1.87280427284858	1.579916456	0.4233373384	0.9121651909
60	20	1.87379936111937	1.547692195	0.5633138907	0.8935605053
60	25	1.87507556742073	1.505719990	0.7021287624	0.8693278416
60	30	1.87661601726600	1.453620516	0.8392481965	0.8392481965
60	35	1.87840062105387	1.390979027	0.9739740005	0.8030821159
60	40	1.88039609410123	1.317373416	1.105407548	0.7605858965
60	45	1.88255930149840	1.232424357	1.232424357	0.7115405343

65	-45	1.88715875814552	1.267308130	-1.267308130	0.5909554862
65	-40	1.88564434309246	1.360304336	-1.141430866	0.6343203292
65	-35	1.88421310257654	1.441849661	-1.009594002	0.6723455388
65	-30	1.88289722166767	1.512000922	-0.8729541391	0.7050576088
65	-25	1.88172952754674	1.570900043	-0.7325227201	0.7325227201
65	-20	1.88073317165856	1.618727053	-0.5891684647	0.7548248213
65	-15	1.87992625523473	1.655670820	-0.4436356591	0.7720519826
65	-10	1.87932563799467	1.681906486	-0.2965654926	0.7842858749
65	-5	1.87894505470202	1.697574429	-0.1485185180	0.7915919566
65	0	1.87879319548642	1.702764903	0.000000000	0.7940123144
65	5	1.87887404067498	1.697510270	0.1485129048	0.7915620387
65	10	1.87919149567413	1.681786435	0.2965443243	0.7842298942
65	15	1.87974044175708	1.655507172	0.4435918098	0.7719756724
65	20	1.88051648211085	1.618540551	0.5891005834	0.7547378538
65	25	1.88150868023660	1.570715676	0.7324367483	0.7324367483
65	30	1.88269715374651	1.511840263	0.8728613830	0.7049826927
65	35	1.88405799573092	1.441730969	1.009510893	0.6722901918
65	40	1.88555881525608	1.360242636	1.141379094	0.6342915581
65	45	1.88715876676222	1.267308136	1.267308136	0.5909554889

70	-45	1.89086494331418	1.294847444	-1.294847444	0.4712859277
70	-40	1.88987416051914	1.394536958	-1.170155447	0.5075699431
70	-35	1.88891916741866	1.482810208	-1.038274885	0.5396987787
70	-30	1.88802503013117	1.559442096	-0.9003443137	0.5675905049
70	-25	1.88721649818392	1.624307183	-0.7574268788	0.5911994660
70	-20	1.88651219900393	1.677347971	-0.6105047340	0.6105047340
70	-15	1.88593055582226	1.718555510	-0.4604855611	0.6255030517
70	-10	1.88548791768442	1.747947278	-0.3082102660	0.6362007803
70	-5	1.88519889619453	1.765550960	-0.1544656938	0.6426079963
70	0	1.88507278309541	1.771388984	0.000000000	0.6447328635
70	5	1.88511650268008	1.765473795	0.1544589428	0.6425799109
70	10	1.88533288666911	1.747803556	0.3081849239	0.6361484698
70	15	1.88571686095851	1.718360781	0.4604333835	0.6254321759
70	20	1.88626284172153	1.677126261	0.6104240381	0.6104240381
70	25	1.88696304960837	1.624089043	0.7573251582	0.5911200694
70	30	1.88779869407298	1.559255150	0.9002363806	0.5675224623
70	35	1.88874627998618	1.482674490	1.038179855	0.5396493816
70	40	1.88977946208999	1.394467080	1.170096812	0.5075445096
70	45	1.89086494350536	1.294847444	1.294847444	0.4712859277

75	-45	1.89370778536794	1.315647027	-1.315647027	0.3525265585
75	-40	1.89315551664176	1.420623114	-1.192044331	0.3806548163
75	-35	1.89260966326240	1.514287695	-1.060315659	0.4057521649
75	-30	1.89208660680352	1.596183226	-0.9215568151	0.4276960063
75	-25	1.89159987353004	1.665951898	-0.7768461282	0.4463904657
75	-20	1.89116359067753	1.723324117	-0.6272386825	0.4617633054
75	-15	1.89079047477305	1.768102992	-0.4737617690	0.4737617690
75	-10	1.89049650332738	1.800156147	-0.3174160983	0.4823503859
75	-5	1.89029504939842	1.819399719	-0.1591768498	0.4875066853
75	0	1.89019488025856	1.825788052	0.000000000	0.4892184340
75	5	1.89020356080907	1.819311661	0.1591691458	0.4874830904
75	10	1.89032439767682	1.799992266	0.3173872016	0.4823064741
75	15	1.89055396499141	1.767881829	0.4737025084	0.4737025084
75	20	1.89088801332284	1.723072997	0.6271472823	0.4616960180
75	25	1.89132072207764	1.665706046	0.7767314857	0.4463245900
75	30	1.89183834643485	1.595973791	0.9214358978	0.4276398884
75	35	1.89242298292114	1.514138331	1.060211073	0.4057121429
75	40	1.89305374653150	1.420546746	1.191980251	0.3806343534
75	45	1.89370778191056	1.315647025	1.315647025	0.3525265579

80	-45	1.89571521997077	1.330173784	-1.330173784	0.2345455271
80	-40	1.89549223104347	1.438963632	-1.207433853	0.2537281126
80	-35	1.89525980365458	1.536560425	-1.075911192	0.2709370604
80	-30	1.89502461718349	1.622333348	-0.9366545953	0.2860611410
80	-25	1.89479159456266	1.695747777	-0.7907401748	0.2990060856
80	-20	1.89456853190842	1.756365489	-0.6392647585	0.3096946237
80	-15	1.89436364621309	1.803838493	-0.4833370674	0.3180653951
80	-10	1.89419149862630	1.837910382	-0.3240731884	0.3240731884
80	-5	1.89406305961358	1.858402849	-0.1625891815	0.3276865633
80	0	1.89398535313162	1.865211460	0.000000000	0.3288871051
80	5	1.89396545790483	1.858307085	0.1625808033	0.3276696775
80	10	1.89400801861182	1.837732353	0.3240417972	0.3240417972
80	15	1.89411171756343	1.803598603	0.4832727891	0.3180230961
80	20	1.89427410201443	1.756092537	0.6391654120	0.3096464949
80	25	1.89449405207031	1.695481491	0.7906160034	0.2989591321
80	30	1.89476027577905	1.622107045	0.9365239391	0.2860212376
80	35	1.89506213192774	1.536400165	1.075798977	0.2709088022
80	40	1.89538539109290	1.438882524	1.207365795	0.2537138111
80	45	1.89571521613599	1.330173781	1.330173781	0.2345455267

85	-45	1.89691030608248	1.338758783	-1.338758783	0.1171262167
85	-40	1.89689064345491	1.449850033	-1.216568628	0.1268454417
85	-35	1.89685384222647	1.549836750	-1.085207375	0.1355931459
85	-30	1.89680006481985	1.637982188	-0.9456894574	0.1433048725
85	-25	1.89672950829111	1.713642187	-0.7990844750	0.1499242647
85	-20	1.89664288122379	1.776268629	-0.6465089090	0.1554033684
85	-15	1.89654731415666	1.825417493	-0.4891191430	0.1597033368
85	-10	1.89645564399189	1.860750387	-0.3281004976	0.1627945645
85	-5	1.89637632865550	1.882025518	-0.1646558973	0.1646558973
85	0	1.89631347443601	1.889097429	0.000000000	0.1652746093
85	5	1.89627439600184	1.881924357	0.1646470468	0.1646470468
85	10	1.89626586926986	1.860564185	0.3280676652	0.1627782740
85	15	1.89628696421746	1.825166907	0.4890519988	0.1596814134
85	20	1.89633710053163	1.775982255	0.6464046775	0.1553783140
85	25	1.89641872057136	1.713361399	0.7989535414	0.1498996989
85	30	1.89652597281521	1.637745496	0.9455528031	0.1432841647
85	35	1.89664943180924	1.549669735	1.085090430	0.1355785340
85	40	1.89678090916294	1.449766160	1.216498250	0.1268381038
85	45	1.89691030284237	1.338758781	1.338758781	0.1171262165

90	-45	1.89730625208891	1.341598117	-1.341598117	0.000000000
90	-40	1.89735536857107	1.453458537	-1.219596522	0.000000000
90	-35	1.89738510474208	1.554246887	-1.088295387	0.000000000
90	-30	1.89739337747736	1.643190866	-0.9486966887	0.000000000
90	-25	1.89737868283713	1.719609075	-0.8018668808	0.000000000
90	-20	1.89733922026520	1.782915664	-0.6489282321	0.000000000
90	-15	1.89728161444451	1.832633311	-0.4910526157	0.000000000
90	-10	1.89721820691095	1.868395199	-0.3294484843	0.000000000
90	-5	1.89715711322569	1.889937858	-0.1653481373	0.000000000
90	0	1.89709966655808	1.897099667	0.000000000	0.000000000
90	5	1.89705207951453	1.889833224	0.1653389830	0.000000000
90	10	1.89702638833218	1.868206295	0.3294151753	0.000000000
90	15	1.89701864279396	1.832379300	0.4909845537	0.000000000
90	20	1.89702975967935	1.782624867	0.6488223903	0.000000000
90	25	1.89706356235534	1.719323479	0.8017337051	0.000000000
90	30	1.89711627175688	1.642950885	0.9485581359	0.000000000
90	35	1.89717850296653	1.554077649	1.088176885	0.000000000
90	40	1.89724473494197	1.453373786	1.219525408	0.000000000
90	45	1.89730624994123	1.341598115	1.341598115	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	1.86328160061173	1.075766134	1.075766134	1.075766134
40	45	1.85966235106193	0.9489366127	1.130898617	1.130898617
35	45	1.85652102363005	0.8237617820	1.176453747	1.176453747
30	45	1.85385319971423	0.7006906477	1.213631802	1.213631802
25	45	1.85164418900317	0.5798342547	1.243458572	1.243458572
20	45	1.84987180453256	0.4610686514	1.266775709	1.266775709
15	45	1.84851533506984	0.3441136772	1.284249727	1.284249727
10	45	1.84755626777044	0.2285871075	1.296381907	1.296381907
5	45	1.84698192165052	0.1140433494	1.303521448	1.303521448
0	45	1.84678333874574	0.000000000	1.305873022	1.305873022
-5	45	1.84695895904260	-0.1140419316	1.303505242	1.303505242
-10	45	1.84751203782927	-0.2285816352	1.296350872	1.296350872
-15	45	1.84845145982007	-0.3441017863	1.284205350	1.284205350
-20	45	1.84979452422202	-0.4610493898	1.266722788	1.266722788
-25	45	1.85156092725631	-0.5798081816	1.243402658	1.243402658
-30	45	1.85377369879862	-0.7006605991	1.213579757	1.213579757
-35	45	1.85645499466050	-0.8237324841	1.176411905	1.176411905
-40	45	1.85962288519722	-0.9489164743	1.130874617	1.130874617
-45	45	1.86328163267527	-1.075766152	1.075766152	1.075766152

45	50	1.87060988932468	1.137556039	1.137556039	0.9545228525
40	50	1.86741119863610	1.009739493	1.203360668	1.009739493
35	50	1.86456567151309	0.8813505257	1.258698997	1.056173864
30	50	1.86209726851104	0.7531843556	1.304553571	1.094650421
25	50	1.86001656976130	0.6256992880	1.341816453	1.125917691
20	50	1.85832156508988	0.4990957551	1.371254317	1.150618992
15	50	1.85700786295825	0.3733866450	1.393497930	1.169283599
10	50	1.85606912611361	0.2484509873	1.409035567	1.182321225
5	50	1.85550121215648	0.1240777225	1.418214858	1.190023564
0	50	1.85530055697785	0.000000000	1.421242682	1.192564210
-5	50	1.85546771126383	-0.1240754823	1.418189252	1.190002079
-10	50	1.85600465046615	-0.2484423566	1.408986620	1.182280154
-15	50	1.85691717282583	-0.3733684100	1.393429876	1.169226495
-20	50	1.85821390582621	-0.4990668406	1.371174875	1.150552332
-25	50	1.85990162639872	-0.6256606216	1.341733533	1.125848113
-30	50	1.86198888718863	-0.7531405173	1.304477641	1.094586708
-35	50	1.86447805476267	-0.8813091106	1.258639850	1.056124234
-40	50	1.86735971131070	-1.009711653	1.203327490	1.009711653
-45	50	1.87060987591722	-1.137556030	1.137556030	0.9545228456

45	55	1.87704512141691	1.189459607	1.189459607	0.8328685829
40	55	1.87437677150173	1.061731312	1.265322106	0.8859880766
35	55	1.87195067926009	0.9313756052	1.330142214	0.9313756052
30	55	1.86980497434610	0.7994071756	1.384613844	0.9695170511
25	55	1.86796211068373	0.6665466820	1.429413972	1.000886439
20	55	1.86643771462127	0.5332754161	1.465162164	1.025917592
15	55	1.86524024291121	0.3998844988	1.492389267	1.044982214
10	55	1.86437431311144	0.2665218219	1.511520363	1.058377952
5	55	1.86384450915637	0.1332335338	1.522866260	1.066322435
0	55	1.86365195962395	0.000000000	1.526614313	1.068946850
-5	55	1.86379921529308	-0.1332302960	1.522829252	1.066296522
-10	55	1.86428766436820	-0.2665094350	1.511450114	1.058328763
-15	55	1.86511882189898	-0.3998584676	1.492292117	1.044914189
-20	55	1.86629481191593	-0.5332345862	1.465049985	1.025839043
-25	55	1.86781218488694	-0.6664931838	1.429299245	1.000806106
-30	55	1.86966490066475	-0.7993472892	1.384510118	0.9694444212
-35	55	1.87184019034307	-0.9313206322	1.330063705	0.9313206322
-40	55	1.87431334994014	-1.061695387	1.265279292	0.8859580982
-45	55	1.87704507592642	-1.189459578	1.189459578	0.8328685627

45	60	1.88255927980672	1.232424343	1.232424343	0.7115405261
40	60	1.88047074881888	1.105451434	1.317425718	0.7606160930
35	60	1.87853447124083	0.9740434035	1.391078145	0.8031393416
30	60	1.87678742208345	0.8393248510	1.453753286	0.8393248510
25	60	1.87526005433567	0.7021978442	1.505868136	0.8694133739
20	60	1.87397879640226	0.5633678337	1.547840402	0.8936460727
15	60	1.87295808814993	0.4233721075	1.580046216	0.9122401080
10	60	1.87221063921813	0.2826172846	1.602802268	0.9253783210
5	60	1.87174628732223	0.1414120382	1.616346992	0.9331983711
0	60	1.87157061589654	0.000000000	1.620827698	0.9357853079
-5	60	1.87168787068767	-0.1414076247	1.616296547	0.9331692463
-10	60	1.87209982835345	-0.2826005573	1.602707403	0.9253235505
-15	60	1.87280427265860	-0.4233373383	1.579916455	0.9121651909
-20	60	1.87379936089151	-0.5633138906	1.547692195	0.8935605052
-25	60	1.87507556715659	-0.7021287623	1.505719990	0.8693278415
-30	60	1.87661601697156	-0.8392481963	1.453620516	0.8392481963
-35	60	1.87840062074129	-0.9739740003	1.390979027	0.8030821158
-40	60	1.88039609379053	-1.105407548	1.317373416	0.7605858964
-45	60	1.88255930121197	-1.232424357	1.232424357	0.7115405342

45	65	1.88715875839534	1.267308130	1.267308130	0.5909554863
40	65	1.88564434333267	1.141430867	1.360304336	0.6343203293
35	65	1.88421310279238	1.009594002	1.441849661	0.6723455388
30	65	1.88289722184798	0.8729541391	1.512000922	0.7050576089
25	65	1.88172952768590	0.7325227201	1.570900043	0.7325227201
20	65	1.88073317175364	0.5891684647	1.618727053	0.7548248213
15	65	1.87992625528574	0.4436356591	1.655670820	0.7720519826
10	65	1.87932563800355	0.2965654926	1.681906486	0.7842858749
5	65	1.87894505466994	0.1485185180	1.697574429	0.7915919566
0	65	1.87879319541463	0.000000000	1.702764903	0.7940123144
-5	65	1.87887404056548	-0.1485129048	1.697510270	0.7915620386
-10	65	1.87919149552801	-0.2965443243	1.681786435	0.7842298941
-15	65	1.87974044157650	-0.4435918097	1.655507172	0.7719756723
-20	65	1.88051648189864	-0.5891005833	1.618540550	0.7547378537
-25	65	1.88150867999534	-0.7324367482	1.570715675	0.7324367482
-30	65	1.88269715348385	-0.8728613829	1.511840263	0.7049826926
-35	65	1.88405799545800	-1.009510892	1.441730969	0.6722901918
-40	65	1.88555881498723	-1.141379094	1.360242636	0.6342915580
-45	65	1.88715876651238	-1.267308135	1.267308135	0.5909554888

45	70	1.89086494353896	1.294847444	1.294847444	0.4712859277
40	70	1.88987416073202	1.170155447	1.394536958	0.5075699432
35	70	1.88891916760842	1.038274885	1.482810208	0.5396987787
30	70	1.88802503028929	0.9003443138	1.559442096	0.5675905049
25	70	1.88721649830560	0.7574268788	1.624307183	0.5911994661
20	70	1.88651219908655	0.6105047340	1.677347971	0.6105047340
15	70	1.88593055586457	0.4604855611	1.718555510	0.6255030517
10	70	1.88548791768751	0.3082102660	1.747947278	0.6362007803
5	70	1.88519889615929	0.1544656938	1.765550959	0.6426079963
0	70	1.88507278302280	0.000000000	1.771388984	0.6447328634
-5	70	1.88511650257219	-0.1544589428	1.765473795	0.6425799108
-10	70	1.88533288652788	-0.3081849239	1.747803556	0.6361484697
-15	70	1.88571686078656	-0.4604333834	1.718360780	0.6254321758
-20	70	1.88626284152229	-0.6104240381	1.677126261	0.6104240381
-25	70	1.88696304938666	-0.7573251581	1.624089043	0.5911200693
-30	70	1.88779869383551	-0.9002363805	1.559255150	0.5675224622
-35	70	1.88874627974203	-1.038179855	1.482674490	0.5396493815
-40	70	1.88977946185006	-1.170096812	1.394467079	0.5075445096
-45	70	1.89086494328055	-1.294847444	1.294847444	0.4712859276

45	75	1.89370778557546	1.315647028	1.315647028	0.3525265586
40	75	1.89315551683584	1.192044331	1.420623115	0.3806548163
35	75	1.89260966343359	1.060315659	1.514287695	0.4057521649
30	75	1.89208660694520	0.9215568152	1.596183226	0.4276960064
25	75	1.89159987363873	0.7768461282	1.665951898	0.4463904657
20	75	1.89116359075116	0.6272386825	1.723324117	0.4617633054
15	75	1.89079047480789	0.4737617690	1.768102993	0.4737617690
10	75	1.89049650332503	0.3174160983	1.800156147	0.4823503859
5	75	1.89029504936077	0.1591768498	1.819399719	0.4875066853
0	75	1.89019488018557	0.000000000	1.825788051	0.4892184339
-5	75	1.89020356070269	-0.1591691458	1.819311661	0.4874830904
-10	75	1.89032439753936	-0.3173872015	1.799992266	0.4823064740
-15	75	1.89055396482653	-0.4737025084	1.767881829	0.4737025084
-20	75	1.89088801313475	-0.6271472822	1.723072997	0.4616960179
-25	75	1.89132072187155	-0.7767314856	1.665706046	0.4463245899
-30	75	1.89183834621611	-0.9214358977	1.595973791	0.4276398884
-35	75	1.89242298269745	-1.060211073	1.514138330	0.4057121429
-40	75	1.89305374631156	-1.191980251	1.420546746	0.3806343534
-45	75	1.89370778170304	-1.315647025	1.315647025	0.3525265579

45	80	1.89571522016669	1.330173784	1.330173784	0.2345455272
40	80	1.89549223122479	1.207433853	1.438963632	0.2537281126
35	80	1.89525980381421	1.075911192	1.536560425	0.2709370604
30	80	1.89502461731476	0.9366545953	1.622333348	0.2860611410
25	80	1.89479159466255	0.7907401748	1.695747777	0.2990060856
20	80	1.89456853197536	0.6392647585	1.756365489	0.3096946237
15	80	1.89436364624316	0.4833370674	1.803838493	0.3180653951
10	80	1.89419149862066	0.3240731884	1.837910382	0.3240731884
5	80	1.89406305957418	0.1625891815	1.858402849	0.3276865632
0	80	1.89398535305875	0.000000000	1.865211460	0.3288871051
-5	80	1.89396545780026	-0.1625808032	1.858307084	0.3276696774
-10	80	1.89400801847812	-0.3240417972	1.837732353	0.3240417972
-15	80	1.89411171740476	-0.4832727891	1.803598603	0.3180230960
-20	80	1.89427410183510	-0.6391654120	1.756092537	0.3096464948
-25	80	1.89449405187517	-0.7906160034	1.695481491	0.2989591321
-30	80	1.89476027557392	-0.9365239390	1.622107045	0.2860212376
-35	80	1.89506213171854	-1.075798977	1.536400164	0.2709088022
-40	80	1.89538539088625	-1.207365795	1.438882524	0.2537138111
-45	80	1.89571521594007	-1.330173781	1.330173781	0.2345455266

45	85	1.89691030627194	1.338758783	1.338758783	0.1171262167
40	85	1.89689064362912	1.216568628	1.449850034	0.1268454418
35	85	1.89685384237992	1.085207375	1.549836750	0.1355931459
30	85	1.89680006494586	0.9456894575	1.637982189	0.1433048726
25	85	1.89672950838572	0.7990844751	1.713642187	0.1499242647
20	85	1.89664288128594	0.6465089091	1.776268629	0.1554033684
15	85	1.89654731418473	0.4891191430	1.825417493	0.1597033368
10	85	1.89645564398545	0.3281004976	1.860750387	0.1627945645
5	85	1.89637632861507	0.1646558973	1.882025518	0.1646558973
0	85	1.89631347436315	0.000000000	1.889097429	0.1652746093
-5	85	1.89627439589898	-0.1646470468	1.881924357	0.1646470468
-10	85	1.89626586914006	-0.3280676652	1.860564185	0.1627782740
-15	85	1.89628696406415	-0.4890519988	1.825166907	0.1596814134
-20	85	1.89633710035819	-0.6464046775	1.775982255	0.1553783140
-25	85	1.89641872038253	-0.7989535413	1.713361399	0.1498996989
-30	85	1.89652597261778	-0.9455528030	1.637745496	0.1432841646
-35	85	1.89664943160818	-1.085090430	1.549669735	0.1355785340
-40	85	1.89678090896391	-1.216498250	1.449766160	0.1268381038
-45	85	1.89691030265291	-1.338758781	1.338758781	0.1171262165

45	90	1.89730625227641	1.341598117	1.341598117	0.000000000
40	90	1.89735536874309	1.219596522	1.453458537	0.000000000
35	90	1.89738510489331	1.088295387	1.554246887	0.000000000
30	90	1.89739337760168	0.9486966888	1.643190866	0.000000000
25	90	1.89737868292950	0.8018668808	1.719609075	0.000000000
20	90	1.89733922032543	0.6489282321	1.782915664	0.000000000
15	90	1.89728161447163	0.4910526157	1.832633311	0.000000000
10	90	1.89721820690399	0.3294484843	1.868395199	0.000000000
5	90	1.89715711318495	0.1653481373	1.889937858	0.000000000
0	90	1.89709966648514	0.000000000	1.897099666	0.000000000
-5	90	1.89705207941226	-0.1653389830	1.889833224	0.000000000
-10	90	1.89702638820423	-0.3294151753	1.868206295	0.000000000
-15	90	1.89701864264338	-0.4909845536	1.832379300	0.000000000
-20	90	1.89702975950847	-0.6488223902	1.782624866	0.000000000
-25	90	1.89706356216867	-0.8017337051	1.719323479	0.000000000
-30	90	1.89711627156136	-0.9485581358	1.642950885	0.000000000
-35	90	1.89717850276768	-1.088176885	1.554077649	0.000000000
-40	90	1.89724473474544	-1.219525408	1.453373786	0.000000000
-45	90	1.89730624975374	-1.341598115	1.341598115	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	1.89730625208892	-1.341598117	1.341598117	1.642983840e-16
-90	40	1.89735536857107	-1.453458537	1.219596522	1.779973345e-16
-90	35	1.89738510474208	-1.554246887	1.088295387	1.903403476e-16
-90	30	1.89739337747736	-1.643190866	0.9486966887	2.012328434e-16
-90	25	1.89737868283713	-1.719609075	0.8018668808	2.105913750e-16
-90	20	1.89733922026520	-1.782915664	0.6489282321	2.183441962e-16
-90	15	1.89728161444451	-1.832633311	0.4910526157	2.244328518e-16
-90	10	1.89721820691096	-1.868395199	0.3294484843	2.288124200e-16
-90	5	1.89715711322569	-1.889937858	0.1653481373	2.314506348e-16
-90	-2.84217e-14	1.89709966655808	-1.897099667	-6.101537885e-16	2.323277034e-16
-90	-5	1.89705207951453	-1.889833224	-0.1653389830	2.314378208e-16
-90	-10	1.89702638833218	-1.868206295	-0.3294151753	2.287892859e-16
-90	-15	1.89701864279397	-1.832379300	-0.4909845537	2.244017445e-16
-90	-20	1.89702975967935	-1.782624867	-0.6488223903	2.183085837e-16
-90	-25	1.89706356235533	-1.719323479	-0.8017337051	2.105563995e-16
-90	-30	1.89711627175688	-1.642950885	-0.9485581359	2.012034543e-16
-90	-35	1.89717850296652	-1.554077649	-1.088176885	1.903196219e-16
-90	-40	1.89724473494196	-1.453373786	-1.219525408	1.779869556e-16
-90	-45	1.89730624994122	-1.341598115	-1.341598115	1.642983838e-16

-85	45	1.89691030608248	-1.338758783	1.338758783	0.1171262167
-85	40	1.89689064345491	-1.449850033	1.216568628	0.1268454417
-85	35	1.89685384222647	-1.549836750	1.085207375	0.1355931459
-85	30	1.89680006481985	-1.637982188	0.9456894574	0.1433048725
-85	25	1.89672950829111	-1.713642187	0.7990844750	0.1499242647
-85	20	1.89664288122379	-1.776268629	0.6465089090	0.1554033684
-85	15	1.89654731415666	-1.825417493	0.4891191430	0.1597033368
-85	10	1.89645564399190	-1.860750387	0.3281004976	0.1627945645
-85	5	1.89637632865551	-1.882025518	0.1646558973	0.1646558973
-85	-2.84217e-14	1.89631347443601	-1.889097429	-6.075800727e-16	0.1652746093
-85	-5	1.89627439600184	-1.881924357	-0.1646470468	0.1646470468
-85	-10	1.89626586926986	-1.860564185	-0.3280676652	0.1627782740
-85	-15	1.89628696421746	-1.825166907	-0.4890519988	0.1596814134
-85	-20	1.89633710053163	-1.775982255	-0.6464046775	0.1553783140
-85	-25	1.89641872057136	-1.713361399	-0.7989535414	0.1498996989
-85	-30	1.89652597281521	-1.637745496	-0.9455528031	0.1432841647
-85	-35	1.89664943180923	-1.549669735	-1.085090430	0.1355785340
-85	-40	1.89678090916293	-1.449766160	-1.216498250	0.1268381038
-85	-45	1.89691030284236	-1.338758781	-1.338758781	0.1171262165

-80	45	1.89571521997077	-1.330173784	1.330173784	0.2345455271
-80	40	1.89549223104347	-1.438963632	1.207433853	0.2537281126
-80	35	1.89525980365458	-1.536560425	1.075911192	0.2709370604
-80	30	1.89502461718349	-1.622333348	0.9366545953	0.2860611410
-80	25	1.89479159456266	-1.695747777	0.7907401748	0.2990060856
-80	20	1.89456853190842	-1.756365489	0.6392647585	0.3096946237
-80	15	1.89436364621309	-1.803838493	0.4833370674	0.3180653951
-80	10	1.89419149862630	-1.837910382	0.3240731884	0.3240731884
-80	5	1.89406305961359	-1.858402849	0.1625891815	0.3276865633
-80	-2.84217e-14	1.89398535313162	-1.865211460	-5.998977590e-16	0.3288871051
-80	-5	1.89396545790484	-1.858307085	-0.1625808033	0.3276696775
-80	-10	1.89400801861182	-1.837732353	-0.3240417972	0.3240417972
-80	-15	1.89411171756343	-1.803598603	-0.4832727891	0.3180230961
-80	-20	1.89427410201443	-1.756092537	-0.6391654120	0.3096464949
-80	-25	1.89449405207030	-1.695481491	-0.7906160034	0.2989591321
-80	-30	1.89476027577904	-1.622107045	-0.9365239391	0.2860212376
-80	-35	1.89506213192773	-1.536400165	-1.075798977	0.2709088022
-80	-40	1.89538539109290	-1.438882524	-1.207365795	0.2537138111
-80	-45	1.89571521613598	-1.330173781	-1.330173781	0.2345455267

-75	45	1.89370778536794	-1.315647027	1.315647027	0.3525265585
-75	40	1.89315551664176	-1.420623114	1.192044331	0.3806548163
-75	35	1.89260966326241	-1.514287695	1.060315659	0.4057521649
-75	30	1.89208660680352	-1.596183226	0.9215568151	0.4276960063
-75	25	1.89159987353004	-1.665951898	0.7768461282	0.4463904657
-75	20	1.89116359067753	-1.723324117	0.6272386825	0.4617633054
-75	15	1.89079047477305	-1.768102992	0.4737617690	0.4737617690
-75	10	1.89049650332738	-1.800156147	0.3174160983	0.4823503859
-75	5	1.89029504939842	-1.819399719	0.1591768498	0.4875066853
-75	-2.84217e-14	1.89019488025856	-1.825788052	-5.872182238e-16	0.4892184340
-75	-5	1.89020356080907	-1.819311661	-0.1591691458	0.4874830904
-75	-10	1.89032439767682	-1.799992266	-0.3173872016	0.4823064741
-75	-15	1.89055396499141	-1.767881829	-0.4737025084	0.4737025084
-75	-20	1.89088801332284	-1.723072997	-0.6271472823	0.4616960180
-75	-25	1.89132072207764	-1.665706046	-0.7767314857	0.4463245900
-75	-30	1.89183834643485	-1.595973791	-0.9214358978	0.4276398884
-75	-35	1.89242298292113	-1.514138331	-1.060211073	0.4057121429
-75	-40	1.89305374653149	-1.420546746	-1.191980251	0.3806343534
-75	-45	1.89370778191055	-1.315647025	-1.315647025	0.3525265579

-70	45	1.89086494331418	-1.294847444	1.294847444	0.4712859277
-70	40	1.88987416051914	-1.394536958	1.170155447	0.5075699431
-70	35	1.88891916741866	-1.482810208	1.038274885	0.5396987787
-70	30	1.88802503013117	-1.559442096	0.9003443137	0.5675905049
-70	25	1.88721649818392	-1.624307183	0.7574268788	0.5911994660
-70	20	1.88651219900393	-1.677347971	0.6105047340	0.6105047340
-70	15	1.88593055582226	-1.718555510	0.4604855611	0.6255030517
-70	10	1.88548791768442	-1.747947278	0.3082102660	0.6362007803
-70	5	1.88519889619454	-1.765550960	0.1544656938	0.6426079963
-70	-2.84217e-14	1.88507278309541	-1.771388984	-5.697221493e-16	0.6447328635
-70	-5	1.88511650268009	-1.765473795	-0.1544589428	0.6425799109
-70	-10	1.88533288666911	-1.747803556	-0.3081849239	0.6361484698
-70	-15	1.88571686095851	-1.718360781	-0.4604333835	0.6254321759
-70	-20	1.88626284172152	-1.677126261	-0.6104240381	0.6104240381
-70	-25	1.88696304960837	-1.624089043	-0.7573251582	0.5911200694
-70	-30	1.88779869407298	-1.559255150	-0.9002363806	0.5675224623
-70	-35	1.88874627998618	-1.482674490	-1.038179855	0.5396493816
-70	-40	1.88977946208999	-1.394467080	-1.170096812	0.5075445096
-70	-45	1.89086494350535	-1.294847444	-1.294847444	0.4712859277

-65	45	1.88715875814553	-1.267308130	1.267308130	0.5909554862
-65	40	1.88564434309247	-1.360304336	1.141430866	0.6343203292
-65	35	1.88421310257654	-1.441849661	1.009594002	0.6723455388
-65	30	1.88289722166767	-1.512000922	0.8729541391	0.7050576088
-65	25	1.88172952754674	-1.570900043	0.7325227201	0.7325227201
-65	20	1.88073317165856	-1.618727053	0.5891684647	0.7548248213
-65	15	1.87992625523473	-1.655670820	0.4436356591	0.7720519826
-65	10	1.87932563799467	-1.681906486	0.2965654926	0.7842858749
-65	5	1.87894505470202	-1.697574429	0.1485185180	0.7915919566
-65	-2.84217e-14	1.87879319548642	-1.702764903	-5.476509616e-16	0.7940123144
-65	-5	1.87887404067498	-1.697510270	-0.1485129048	0.7915620387
-65	-10	1.87919149567413	-1.681786435	-0.2965443243	0.7842298942
-65	-15	1.87974044175708	-1.655507172	-0.4435918098	0.7719756724
-65	-20	1.88051648211085	-1.618540551	-0.5891005834	0.7547378538
-65	-25	1.88150868023660	-1.570715676	-0.7324367483	0.7324367483
-65	-30	1.88269715374651	-1.511840263	-0.8728613830	0.7049826927
-65	-35	1.88405799573092	-1.441730969	-1.009510893	0.6722901918
-65	-40	1.88555881525608	-1.360242636	-1.141379094	0.6342915581
-65	-45	1.88715876676222	-1.267308136	-1.267308136	0.5909554889

-60	45	1.88255927952036	-1.232424343	1.232424343	0.7115405260
-60	40	1.88047074853886	-1.317425718	1.105451434	0.7606160929
-60	35	1.87853447098898	-1.391078145	0.9740434033	0.8031393414
-60	30	1.87678742187442	-1.453753286	0.8393248509	0.8393248509
-60	25	1.87526005417533	-1.505868136	0.7021978441	0.8694133738
-60	20	1.87397879629190	-1.547840402	0.5633678337	0.8936460727
-60	15	1.87295808808826	-1.580046216	0.4233721075	0.9122401080
-60	10	1.87221063920297	-1.602802268	0.2826172846	0.9253783210
-60	5	1.87174628735122	-1.616346992	0.1414120382	0.9331983712
-60	-2.84217e-14	1.87157061596759	-1.620827698	-5.212979466e-16	0.9357853080
-60	-5	1.87168787079903	-1.616296547	-0.1414076247	0.9331692464
-60	-10	1.87209982850445	-1.602707403	-0.2826005573	0.9253235506
-60	-15	1.87280427284858	-1.579916456	-0.4233373384	0.9121651909
-60	-20	1.87379936111938	-1.547692195	-0.5633138907	0.8935605053
-60	-25	1.87507556742073	-1.505719990	-0.7021287624	0.8693278416
-60	-30	1.87661601726600	-1.453620516	-0.8392481965	0.8392481965
-60	-35	1.87840062105387	-1.390979027	-0.9739740005	0.8030821159
-60	-40	1.88039609410122	-1.317373416	-1.105407548	0.7605858965
-60	-45	1.88255930149839	-1.232424357	-1.232424357	0.7115405343

-55	45	1.87704512107501	-1.189459606	1.189459606	0.8328685828
-55	40	1.87437677116275	-1.265322105	1.061731312	0.8859880764
-55	35	1.87195067895903	-1.330142214	0.9313756050	0.9313756050
-55	30	1.86980497410130	-1.384613844	0.7994071755	0.9695170510
-55	25	1.86796211049966	-1.429413972	0.6665466819	1.000886439
-55	20	1.86643771449517	-1.465162164	0.5332754161	1.025917592
-55	15	1.86524024283896	-1.492389267	0.3998844988	1.044982214
-55	10	1.86437431308945	-1.511520363	0.2665218219	1.058377952
-55	5	1.86384450918116	-1.522866260	0.1332335338	1.066322435
-55	-2.84217e-14	1.86365195969291	-1.526614313	-4.909966107e-16	1.068946850
-55	-5	1.86379921540468	-1.522829252	-0.1332302960	1.066296522
-55	-10	1.86428766452227	-1.511450114	-0.2665094350	1.058328763
-55	-15	1.86511882209664	-1.492292117	-0.3998584676	1.044914190
-55	-20	1.86629481215865	-1.465049985	-0.5332345863	1.025839043
-55	-25	1.86781218517540	-1.429299245	-0.6664931839	1.000806106
-55	-30	1.86966490099690	-1.384510118	-0.7993472893	0.9694444214
-55	-35	1.87184019070863	-1.330063705	-0.9313206324	0.9313206324
-55	-40	1.87431335031288	-1.265279292	-1.061695387	0.8859580984
-55	-45	1.87704507626859	-1.189459578	-1.189459578	0.8328685629

-50	45	1.87060988889035	-1.137556038	1.137556038	0.9545228523
-50	40	1.86741119820860	-1.203360668	1.009739493	1.009739493
-50	35	1.86456567115243	-1.258698996	0.8813505255	1.056173864
-50	30	1.86209726823147	-1.304553571	0.7531843555	1.094650420
-50	25	1.86001656955726	-1.341816453	0.6256992879	1.125917691
-50	20	1.85832156495171	-1.371254317	0.4990957550	1.150618992
-50	15	1.85700786287812	-1.393497930	0.3733866450	1.169283599
-50	10	1.85606912608598	-1.409035567	0.2484509873	1.182321225
-50	5	1.85550121217693	-1.418214858	0.1240777225	1.190023564
-50	-2.84217e-14	1.85530055704316	-1.421242682	-4.571065095e-16	1.192564210
-50	-5	1.85546771137262	-1.418189252	-0.1240754823	1.190002079
-50	-10	1.85600465061920	-1.408986621	-0.2484423567	1.182280154
-50	-15	1.85691717302565	-1.393429876	-0.3733684101	1.169226495
-50	-20	1.85821390607658	-1.371174876	-0.4990668407	1.150552332
-50	-25	1.85990162670486	-1.341733533	-0.6256606217	1.125848113
-50	-30	1.86198888755597	-1.304477642	-0.7531405175	1.094586708
-50	-35	1.86447805519057	-1.258639850	-0.8813091109	1.056124234
-50	-40	1.86735971177531	-1.203327490	-1.009711653	1.009711653
-50	-45	1.87060987635224	-1.137556031	-1.137556031	0.9545228459

-45	45	1.86328159999824	-1.075766133	1.075766133	1.075766133
-45	40	1.85966235052260	-1.130898617	0.9489366124	1.130898617
-45	35	1.85652102322258	-1.176453747	0.8237617818	1.176453747
-45	30	1.85385319941752	-1.213631802	0.7006906476	1.213631802
-45	25	1.85164418879263	-1.243458572	0.5798342546	1.243458572
-45	20	1.84987180439140	-1.266775709	0.4610686514	1.266775709
-45	15	1.84851533498728	-1.284249727	0.3441136771	1.284249727
-45	10	1.84755626773955	-1.296381907	0.2285871075	1.296381907
-45	5	1.84698192166643	-1.303521449	0.1140433494	1.303521449
-45	-2.84217e-14	1.84678333880527	-1.305873022	-4.200007969e-16	1.305873022
-45	-5	1.84695895914493	-1.303505243	-0.1140419316	1.303505243
-45	-10	1.84751203797543	-1.296350872	-0.2285816352	1.296350872
-45	-15	1.84845146001313	-1.284205350	-0.3441017864	1.284205350
-45	-20	1.84979452446736	-1.266722788	-0.4610493899	1.266722788
-45	-25	1.85156092756268	-1.243402658	-0.5798081817	1.243402658
-45	-30	1.85377369917969	-1.213579757	-0.7006605993	1.213579757
-45	-35	1.85645499513535	-1.176411906	-0.8237324843	1.176411906
-45	-40	1.85962288577641	-1.130874618	-0.9489164746	1.130874618
-45	-45	1.86328163328929	-1.075766153	-1.075766153	1.075766153


### -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	1.89730625227640	-1.341598117	-1.341598117	1.642983840e-16
-40	-90	1.89735536874308	-1.219596522	-1.453458537	1.779973345e-16
-35	-90	1.89738510489330	-1.088295387	-1.554246887	1.903403476e-16
-30	-90	1.89739337760166	-0.9486966888	-1.643190866	2.012328434e-16
-25	-90	1.89737868292948	-0.8018668808	-1.719609075	2.105913750e-16
-20	-90	1.89733922032540	-0.6489282321	-1.782915664	2.183441962e-16
-15	-90	1.89728161447161	-0.4910526157	-1.832633311	2.244328519e-16
-10	-90	1.89721820690396	-0.3294484843	-1.868395199	2.288124200e-16
-5	-90	1.89715711318492	-0.1653481373	-1.889937858	2.314506348e-16
-2.84217e-14	-90	1.89709966648511	-6.101537885e-16	-1.897099666	2.323277034e-16
5	-90	1.89705207941224	0.1653389830	-1.889833224	2.314378208e-16
10	-90	1.89702638820420	0.3294151753	-1.868206295	2.287892859e-16
15	-90	1.89701864264336	0.4909845536	-1.832379300	2.244017444e-16
20	-90	1.89702975950846	0.6488223902	-1.782624866	2.183085837e-16
25	-90	1.89706356216865	0.8017337051	-1.719323479	2.105563995e-16
30	-90	1.89711627156135	0.9485581358	-1.642950885	2.012034543e-16
35	-90	1.89717850276767	1.088176885	-1.554077649	1.903196218e-16
40	-90	1.89724473474544	1.219525408	-1.453373786	1.779869555e-16
45	-90	1.89730624975374	1.341598115	-1.341598115	1.642983838e-16

-45	-85	1.89691030627193	-1.338758783	-1.338758783	0.1171262167
-40	-85	1.89689064362911	-1.216568628	-1.449850034	0.1268454418
-35	-85	1.89685384237990	-1.085207375	-1.549836750	0.1355931459
-30	-85	1.89680006494585	-0.9456894575	-1.637982189	0.1433048726
-25	-85	1.89672950838570	-0.7990844751	-1.713642187	0.1499242647
-20	-85	1.89664288128591	-0.6465089091	-1.776268629	0.1554033684
-15	-85	1.89654731418471	-0.4891191430	-1.825417493	0.1597033368
-10	-85	1.89645564398543	-0.3281004976	-1.860750387	0.1627945645
-5	-85	1.89637632861505	-0.1646558973	-1.882025518	0.1646558973
-2.84217e-14	-85	1.89631347436312	-6.075800726e-16	-1.889097429	0.1652746093
5	-85	1.89627439589896	0.1646470468	-1.881924357	0.1646470468
10	-85	1.89626586914004	0.3280676652	-1.860564185	0.1627782740
15	-85	1.89628696406412	0.4890519988	-1.825166907	0.1596814134
20	-85	1.89633710035818	0.6464046775	-1.775982255	0.1553783140
25	-85	1.89641872038252	0.7989535413	-1.713361399	0.1498996989
30	-85	1.89652597261777	0.9455528030	-1.637745496	0.1432841646
35	-85	1.89664943160817	1.085090430	-1.549669735	0.1355785340
40	-85	1.89678090896390	1.216498250	-1.449766160	0.1268381038
45	-85	1.89691030265291	1.338758781	-1.338758781	0.1171262165

-45	-80	1.89571522016668	-1.330173784	-1.330173784	0.2345455272
-40	-80	1.89549223122477	-1.207433853	-1.438963632	0.2537281126
-35	-80	1.89525980381419	-1.075911192	-1.536560425	0.2709370604
-30	-80	1.89502461731474	-0.9366545953	-1.622333348	0.2860611410
-25	-80	1.89479159466253	-0.7907401748	-1.695747777	0.2990060856
-20	-80	1.89456853197534	-0.6392647585	-1.756365489	0.3096946237
-15	-80	1.89436364624314	-0.4833370674	-1.803838493	0.3180653951
-10	-80	1.89419149862063	-0.3240731884	-1.837910382	0.3240731884
-5	-80	1.89406305957415	-0.1625891815	-1.858402849	0.3276865632
-2.84217e-14	-80	1.89398535305872	-5.998977590e-16	-1.865211460	0.3288871051
5	-80	1.89396545780023	0.1625808032	-1.858307084	0.3276696774
10	-80	1.89400801847809	0.3240417972	-1.837732353	0.3240417972
15	-80	1.89411171740474	0.4832727891	-1.803598603	0.3180230960
20	-80	1.89427410183508	0.6391654120	-1.756092537	0.3096464948
25	-80	1.89449405187515	0.7906160034	-1.695481491	0.2989591321
30	-80	1.89476027557391	0.9365239390	-1.622107045	0.2860212376
35	-80	1.89506213171853	1.075798977	-1.536400164	0.2709088022
40	-80	1.89538539088624	1.207365795	-1.438882524	0.2537138111
45	-80	1.89571521594007	1.330173781	-1.330173781	0.2345455266

-45	-75	1.89370778557545	-1.315647028	-1.315647028	0.3525265586
-40	-75	1.89315551683583	-1.192044331	-1.420623115	0.3806548163
-35	-75	1.89260966343358	-1.060315659	-1.514287695	0.4057521649
-30	-75	1.89208660694518	-0.9215568152	-1.596183226	0.4276960064
-25	-75	1.89159987363871	-0.7768461282	-1.665951898	0.4463904657
-20	-75	1.89116359075113	-0.6272386825	-1.723324117	0.4617633054
-15	-75	1.89079047480786	-0.4737617690	-1.768102993	0.4737617690
-10	-75	1.89049650332500	-0.3174160983	-1.800156147	0.4823503859
-5	-75	1.89029504936074	-0.1591768498	-1.819399719	0.4875066853
-2.84217e-14	-75	1.89019488018554	-5.872182238e-16	-1.825788051	0.4892184339
5	-75	1.89020356070266	0.1591691458	-1.819311661	0.4874830904
10	-75	1.89032439753933	0.3173872015	-1.799992266	0.4823064740
15	-75	1.89055396482651	0.4737025084	-1.767881829	0.4737025084
20	-75	1.89088801313473	0.6271472822	-1.723072997	0.4616960179
25	-75	1.89132072187153	0.7767314856	-1.665706046	0.4463245899
30	-75	1.89183834621610	0.9214358977	-1.595973791	0.4276398884
35	-75	1.89242298269744	1.060211073	-1.514138330	0.4057121429
40	-75	1.89305374631156	1.191980251	-1.420546746	0.3806343534
45	-75	1.89370778170304	1.315647025	-1.315647025	0.3525265579

-45	-70	1.89086494353896	-1.294847444	-1.294847444	0.4712859277
-40	-70	1.88987416073201	-1.170155447	-1.394536958	0.5075699432
-35	-70	1.88891916760840	-1.038274885	-1.482810208	0.5396987787
-30	-70	1.88802503028927	-0.9003443138	-1.559442096	0.5675905049
-25	-70	1.88721649830558	-0.7574268788	-1.624307183	0.5911994661
-20	-70	1.88651219908652	-0.6105047340	-1.677347971	0.6105047340
-15	-70	1.88593055586454	-0.4604855611	-1.718555510	0.6255030517
-10	-70	1.88548791768748	-0.3082102660	-1.747947278	0.6362007803
-5	-70	1.88519889615926	-0.1544656938	-1.765550959	0.6426079963
-2.84217e-14	-70	1.88507278302277	-5.697221493e-16	-1.771388984	0.6447328634
5	-70	1.88511650257216	0.1544589428	-1.765473795	0.6425799108
10	-70	1.88533288652785	0.3081849239	-1.747803556	0.6361484697
15	-70	1.88571686078653	0.4604333834	-1.718360780	0.6254321758
20	-70	1.88626284152227	0.6104240381	-1.677126261	0.6104240381
25	-70	1.88696304938665	0.7573251581	-1.624089043	0.5911200693
30	-70	1.88779869383549	0.9002363805	-1.559255150	0.5675224622
35	-70	1.88874627974202	1.038179855	-1.482674490	0.5396493815
40	-70	1.88977946185006	1.170096812	-1.394467079	0.5075445096
45	-70	1.89086494328055	1.294847444	-1.294847444	0.4712859276

-45	-65	1.88715875839533	-1.267308130	-1.267308130	0.5909554863
-40	-65	1.88564434333266	-1.141430867	-1.360304336	0.6343203293
-35	-65	1.88421310279237	-1.009594002	-1.441849661	0.6723455388
-30	-65	1.88289722184797	-0.8729541391	-1.512000922	0.7050576089
-25	-65	1.88172952768587	-0.7325227201	-1.570900043	0.7325227201
-20	-65	1.88073317175362	-0.5891684647	-1.618727053	0.7548248213
-15	-65	1.87992625528571	-0.4436356591	-1.655670820	0.7720519826
-10	-65	1.87932563800352	-0.2965654926	-1.681906486	0.7842858749
-5	-65	1.87894505466991	-0.1485185180	-1.697574429	0.7915919566
-2.84217e-14	-65	1.87879319541459	-5.476509616e-16	-1.702764903	0.7940123144
5	-65	1.87887404056545	0.1485129048	-1.697510270	0.7915620386
10	-65	1.87919149552798	0.2965443243	-1.681786435	0.7842298941
15	-65	1.87974044157648	0.4435918097	-1.655507172	0.7719756723
20	-65	1.88051648189862	0.5891005833	-1.618540550	0.7547378537
25	-65	1.88150867999533	0.7324367482	-1.570715675	0.7324367482
30	-65	1.88269715348384	0.8728613829	-1.511840263	0.7049826926
35	-65	1.88405799545799	1.009510892	-1.441730969	0.6722901918
40	-65	1.88555881498722	1.141379094	-1.360242636	0.6342915580
45	-65	1.88715876651238	1.267308135	-1.267308135	0.5909554888

-45	-60	1.88255927980671	-1.232424343	-1.232424343	0.7115405261
-40	-60	1.88047074881887	-1.105451434	-1.317425718	0.7606160930
-35	-60	1.87853447124081	-0.9740434035	-1.391078145	0.8031393416
-30	-60	1.87678742208344	-0.8393248510	-1.453753286	0.8393248510
-25	-60	1.87526005433565	-0.7021978442	-1.505868136	0.8694133739
-20	-60	1.87397879640224	-0.5633678337	-1.547840402	0.8936460727
-15	-60	1.87295808814990	-0.4233721075	-1.580046216	0.9122401080
-10	-60	1.87221063921810	-0.2826172846	-1.602802268	0.9253783210
-5	-60	1.87174628732219	-0.1414120382	-1.616346992	0.9331983711
-2.84217e-14	-60	1.87157061589650	-5.212979466e-16	-1.620827698	0.9357853079
5	-60	1.87168787068763	0.1414076247	-1.616296547	0.9331692463
10	-60	1.87209982835342	0.2826005573	-1.602707403	0.9253235505
15	-60	1.87280427265857	0.4233373383	-1.579916455	0.9121651909
20	-60	1.87379936089149	0.5633138906	-1.547692195	0.8935605052
25	-60	1.87507556715657	0.7021287623	-1.505719990	0.8693278415
30	-60	1.87661601697155	0.8392481963	-1.453620516	0.8392481963
35	-60	1.87840062074129	0.9739740003	-1.390979027	0.8030821158
40	-60	1.88039609379053	1.105407548	-1.317373416	0.7605858964
45	-60	1.88255930121197	1.232424357	-1.232424357	0.7115405342

-45	-55	1.87704512141691	-1.189459607	-1.189459607	0.8328685829
-40	-55	1.87437677150172	-1.061731312	-1.265322106	0.8859880766
-35	-55	1.87195067926008	-0.9313756052	-1.330142214	0.9313756052
-30	-55	1.86980497434609	-0.7994071756	-1.384613844	0.9695170511
-25	-55	1.86796211068371	-0.6665466820	-1.429413972	1.000886439
-20	-55	1.86643771462124	-0.5332754161	-1.465162164	1.025917592
-15	-55	1.86524024291117	-0.3998844988	-1.492389267	1.044982214
-10	-55	1.86437431311140	-0.2665218219	-1.511520363	1.058377952
-5	-55	1.86384450915632	-0.1332335338	-1.522866260	1.066322435
-2.84217e-14	-55	1.86365195962390	-4.909966107e-16	-1.526614313	1.068946850
5	-55	1.86379921529303	0.1332302960	-1.522829252	1.066296522
10	-55	1.86428766436816	0.2665094350	-1.511450114	1.058328763
15	-55	1.86511882189895	0.3998584676	-1.492292117	1.044914189
20	-55	1.86629481191591	0.5332345862	-1.465049985	1.025839043
25	-55	1.86781218488693	0.6664931838	-1.429299245	1.000806106
30	-55	1.86966490066474	0.7993472892	-1.384510118	0.9694444212
35	-55	1.87184019034306	0.9313206322	-1.330063705	0.9313206322
40	-55	1.87431334994014	1.061695387	-1.265279292	0.8859580982
45	-55	1.87704507592641	1.189459578	-1.189459578	0.8328685627

-45	-50	1.87060988932467	-1.137556039	-1.137556039	0.9545228525
-40	-50	1.86741119863610	-1.009739493	-1.203360668	1.009739493
-35	-50	1.86456567151308	-0.8813505257	-1.258698997	1.056173864
-30	-50	1.86209726851103	-0.7531843556	-1.304553571	1.094650421
-25	-50	1.86001656976128	-0.6256992880	-1.341816453	1.125917691
-20	-50	1.85832156508985	-0.4990957551	-1.371254317	1.150618992
-15	-50	1.85700786295821	-0.3733866450	-1.393497930	1.169283599
-10	-50	1.85606912611356	-0.2484509873	-1.409035567	1.182321225
-5	-50	1.85550121215641	-0.1240777225	-1.418214858	1.190023564
-2.84217e-14	-50	1.85530055697777	-4.571065095e-16	-1.421242682	1.192564210
5	-50	1.85546771126376	0.1240754823	-1.418189252	1.190002079
10	-50	1.85600465046610	0.2484423566	-1.408986620	1.182280154
15	-50	1.85691717282580	0.3733684100	-1.393429876	1.169226495
20	-50	1.85821390582619	0.4990668406	-1.371174875	1.150552332
25	-50	1.85990162639871	0.6256606216	-1.341733533	1.125848113
30	-50	1.86198888718862	0.7531405173	-1.304477641	1.094586708
35	-50	1.86447805476267	0.8813091106	-1.258639850	1.056124234
40	-50	1.86735971131070	1.009711653	-1.203327490	1.009711653
45	-50	1.87060987591722	1.137556030	-1.137556030	0.9545228456

-45	-45	1.86328160061173	-1.075766134	-1.075766134	1.075766134
-40	-45	1.85966235106193	-0.9489366127	-1.130898617	1.130898617
-35	-45	1.85652102363005	-0.8237617820	-1.176453747	1.176453747
-30	-45	1.85385319971422	-0.7006906477	-1.213631802	1.213631802
-25	-45	1.85164418900316	-0.5798342547	-1.243458572	1.243458572
-20	-45	1.84987180453253	-0.4610686514	-1.266775709	1.266775709
-15	-45	1.84851533506979	-0.3441136772	-1.284249727	1.284249727
-10	-45	1.84755626777037	-0.2285871075	-1.296381907	1.296381907
-5	-45	1.84698192165042	-0.1140433494	-1.303521448	1.303521448
-2.84217e-14	-45	1.84678333874561	-4.200007969e-16	-1.305873022	1.305873022
5	-45	1.84695895904251	0.1140419316	-1.303505242	1.303505242
10	-45	1.84751203782921	0.2285816352	-1.296350872	1.296350872
15	-45	1.84845145982003	0.3441017863	-1.284205350	1.284205350
20	-45	1.84979452422200	0.4610493898	-1.266722788	1.266722788
25	-45	1.85156092725630	0.5798081816	-1.243402658	1.243402658
30	-45	1.85377369879861	0.7006605991	-1.213579757	1.213579757
35	-45	1.85645499466050	0.8237324841	-1.176411905	1.176411905
40	-45	1.85962288519722	0.9489164743	-1.130874617	1.130874617
45	-45	1.86328163267528	1.075766152	-1.075766152	1.075766152