path: root/test/checkpoint2/h.t1.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	1.86328023755528	-1.075765347	-1.075765347	1.075765347
-40	-45	1.85966093611595	-0.9489358906	-1.130897757	1.130897757
-35	-45	1.85651946617517	-0.8237610909	-1.176452760	1.176452760
-30	-45	1.85385171345408	-0.7006900859	-1.213630829	1.213630829
-25	-45	1.85164271339304	-0.5798337926	-1.243457581	1.243457581
-20	-45	1.84987041636384	-0.4610683054	-1.266774758	1.266774758
-15	-45	1.84851418293391	-0.3441134627	-1.284248926	1.284248926
-10	-45	1.84755557283663	-0.2285870215	-1.296381419	1.296381419
-5	-45	1.84698124548530	-0.1140433077	-1.303520971	1.303520971
0	-45	1.84678244771638	0.000000000	-1.305872392	1.305872392
5	-45	1.84695763668091	0.1140418499	-1.303504309	1.303504309
10	-45	1.84750999097954	0.2285813819	-1.296349436	1.296349436
15	-45	1.84845019462960	0.3441015508	-1.284204471	1.284204471
20	-45	1.84979352278023	0.4610491402	-1.266722102	1.266722102
25	-45	1.85155979524144	0.5798078271	-1.243401898	1.243401898
30	-45	1.85377248830966	0.7006601416	-1.213578964	1.213578964
35	-45	1.85645368112926	0.8237319013	-1.176411073	1.176411073
40	-45	1.85962155115011	0.9489157935	-1.130873806	1.130873806
45	-45	1.86328023589512	1.075765346	-1.075765346	1.075765346

-45	-40	1.85962155188450	-1.130873806	-0.9489157939	1.130873806
-40	-40	1.85513767649728	-1.003103001	-1.003103001	1.195451605
-35	-40	1.85116354874129	-0.8750155555	-1.048582299	1.249651721
-30	-40	1.84772858400636	-0.7473724850	-1.086203662	1.294487116
-25	-40	1.84484172655623	-0.6205945546	-1.116731953	1.330869317
-20	-40	1.84249852628003	-0.4948461076	-1.140821824	1.359578507
-15	-40	1.84068977780595	-0.3701055846	-1.159008753	1.381252846
-10	-40	1.83940436061826	-0.2462202635	-1.171705722	1.396384504
-5	-40	1.83863342027133	-0.1229497700	-1.179205425	1.405322302
0	-40	1.83837051342772	0.000000000	-1.181681788	1.408273516
5	-40	1.83861501713901	0.1229485394	-1.179193623	1.405308236
10	-40	1.83936938770640	0.2462155821	-1.171683445	1.396357955
15	-40	1.84064177658564	0.3700959330	-1.158978529	1.381216826
20	-40	1.84244341174552	0.4948313053	-1.140787698	1.359537838
25	-40	1.84478573075990	0.6205757179	-1.116698057	1.330828922
30	-40	1.84768126168043	0.7473533440	-1.086175843	1.294453963
35	-40	1.85113458499947	0.8750018648	-1.048565892	1.249632169
40	-40	1.85513767576466	1.003103000	-1.003103000	1.195451604
45	-40	1.85966093542650	1.130897756	-0.9489358903	1.130897756

-45	-35	1.85645368158410	-1.176411073	-0.8237319015	1.176411073
-40	-35	1.85113458551938	-1.048565893	-0.8750018650	1.249632169
-35	-35	1.84633320286101	-0.9186298139	-0.9186298139	1.311939338
-30	-35	1.84211619081088	-0.7875692500	-0.9551600737	1.364109955
-25	-35	1.83852227434850	-0.6560416374	-0.9851120647	1.406885832
-20	-35	1.83557264552341	-0.5244567010	-1.008952109	1.440932943
-15	-35	1.83327594752076	-0.3930317481	-1.027074537	1.466814453
-10	-35	1.83163443774082	-0.2618414896	-1.039792005	1.484976880
-5	-35	1.83064760697858	-0.1308605136	-1.047330184	1.495742515
0	-35	1.83031389859580	0.000000000	-1.049824923	1.499305372
5	-35	1.83063426218969	0.1308595597	-1.047322550	1.495731612
10	-35	1.83160965238665	0.2618379464	-1.039777935	1.484956785
15	-35	1.83324297070505	0.3930246783	-1.027056062	1.466788068
20	-35	1.83553717653260	0.5244465668	-1.008932613	1.440905100
25	-35	1.83849030508365	0.6560302298	-0.9850949350	1.406861368
30	-35	1.84209566467855	0.7875604743	-0.9551494307	1.364094756
35	-35	1.84633320241735	0.9186298137	-0.9186298137	1.311939337
40	-35	1.85116354825511	1.048582298	-0.8750155553	1.249651721
45	-35	1.85651946578227	1.176452760	-0.8237610908	1.176452760

-45	-30	1.85377248864497	-1.213578964	-0.7006601417	1.213578964
-40	-30	1.84768126205758	-1.086175843	-0.7473533441	1.294453963
-35	-30	1.84209566503446	-0.9551494309	-0.7875604745	1.364094756
-30	-30	1.83711926669919	-0.8215847126	-0.8215847126	1.423026465
-25	-30	1.83282595186832	-0.6863082425	-0.8497399552	1.471792776
-20	-30	1.82926646023634	-0.5499261171	-0.8723240579	1.510909589
-15	-30	1.82647207539050	-0.4128641942	-0.8895987016	1.540830149
-10	-30	1.82446345619416	-0.2754096666	-0.9017783013	1.561925835
-5	-30	1.82325231863030	-0.1377482772	-0.9090206859	1.574470013
0	-30	1.82284451657333	0.000000000	-0.9114222583	1.578629659
5	-30	1.82324329702460	0.1377475956	-0.9090161880	1.574462222
10	-30	1.82444724260501	0.2754072191	-0.9017702874	1.561911954
15	-30	1.82645156631737	0.4128595583	-0.8895887124	1.540812848
20	-30	1.82924679596721	0.5499202055	-0.8723146806	1.510893347
25	-30	1.83281303443995	0.6863034055	-0.8497339664	1.471782403
30	-30	1.83711926640621	0.8215847125	-0.8215847125	1.423026465
35	-30	1.84211619048067	0.9551600736	-0.7875692498	1.364109955
40	-30	1.84772858368184	1.086203662	-0.7473724849	1.294487116
45	-30	1.85385171319170	1.213630829	-0.7006900858	1.213630829

-45	-25	1.85155979550425	-1.243401898	-0.5798078272	1.243401898
-40	-25	1.84478573104636	-1.116698058	-0.6205757180	1.330828922
-35	-25	1.83849030536223	-0.9850949352	-0.6560302299	1.406861368
-30	-25	1.83281303468262	-0.8497339665	-0.6863034056	1.471782403
-25	-25	1.82786289599631	-0.7115534305	-0.7115534305	1.525931256
-20	-25	1.82372113289804	-0.5713085706	-0.7319432650	1.569657397
-15	-25	1.82044669086838	-0.4295993342	-0.7476247927	1.603286542
-10	-25	1.81808101235694	-0.2869008330	-0.7587270820	1.627095478
-5	-25	1.81665027864478	-0.1435945168	-0.7653474193	1.641292837
0	-25	1.81616955911979	0.000000000	-0.7675464221	1.646008614
5	-25	1.81664495354552	0.1435940959	-0.7653451758	1.641288026
10	-25	1.81807195161652	0.2868994031	-0.7587233007	1.627087369
15	-25	1.82043607190137	0.4295968282	-0.7476204317	1.603277190
20	-25	1.82371317911471	0.5713060789	-0.7319400728	1.569650551
25	-25	1.82786289580256	0.7115534304	-0.7115534304	1.525931256
30	-25	1.83282595164556	0.8497399551	-0.6863082424	1.471792776
35	-25	1.83852227411285	0.9851120646	-0.6560416373	1.406885831
40	-25	1.84484172633460	1.116731953	-0.6205945545	1.330869317
45	-25	1.85164271321162	1.243457581	-0.5798337925	1.243457581

-45	-20	1.84979352298900	-1.266722102	-0.4610491403	1.266722102
-40	-20	1.84244341196743	-1.140787698	-0.4948313054	1.359537838
-35	-20	1.83553717674921	-1.008932613	-0.5244465669	1.440905100
-30	-20	1.82924679616063	-0.8723146807	-0.5499202055	1.510893347
-25	-20	1.82371317927377	-0.7319400728	-0.5713060790	1.569650552
-20	-20	1.81904859181297	-0.5886724598	-0.5886724598	1.617364291
-15	-20	1.81533873950429	-0.4432492360	-0.6020899963	1.654228669
-10	-20	1.81264650179601	-0.2963032832	-0.6116226511	1.680419423
-5	-20	1.81101364286296	-0.1483872495	-0.6173204593	1.696074022
0	-20	1.81046539792635	0.000000000	-0.6192156349	1.701280975
5	-20	1.81101098182994	0.1483870314	-0.6173195522	1.696071530
10	-20	1.81264250872249	0.2963026305	-0.6116213037	1.680415721
15	-20	1.81533508355602	0.4432483434	-0.6020887837	1.654225338
20	-20	1.81904859169174	0.5886724598	-0.5886724598	1.617364291
25	-20	1.82372113275420	0.7319432649	-0.5713085705	1.569657397
30	-20	1.82926646007726	0.8723240579	-0.5499261170	1.510909589
35	-20	1.83557264536178	1.008952109	-0.5244567009	1.440932943
40	-20	1.84249852613188	1.140821823	-0.4948461076	1.359578507
45	-20	1.84987041624320	1.266774758	-0.4610683054	1.266774758

-45	-15	1.84845019479342	-1.284204471	-0.3441015509	1.284204471
-40	-15	1.84064177675597	-1.158978529	-0.3700959330	1.381216826
-35	-15	1.83324297087030	-1.027056062	-0.3930246784	1.466788068
-30	-15	1.82645156646592	-0.8895887125	-0.4128595583	1.540812848
-25	-15	1.82043607202541	-0.7476204318	-0.4295968283	1.603277190
-20	-15	1.81533508365190	-0.6020887838	-0.4432483434	1.654225338
-15	-15	1.81125849084186	-0.4538340118	-0.4538340118	1.693731590
-10	-15	1.80828908820523	-0.3036133978	-0.4613755900	1.721877143
-5	-15	1.80648363351697	-0.1521193076	-0.4658917392	1.738731642
0	-15	1.80587734001773	0.000000000	-0.4673954487	1.744343562
5	-15	1.80648251687465	0.1521192135	-0.4658914513	1.738730567
10	-15	1.80828787577909	0.3036131942	-0.4613752806	1.721875989
15	-15	1.81125849077394	0.4538340118	-0.4538340118	1.693731590
20	-15	1.81533873942024	0.6020899963	-0.4432492360	1.654228669
25	-15	1.82044669077137	0.7476247927	-0.4295993341	1.603286542
30	-15	1.82647207528685	0.8895987015	-0.4128641942	1.540830149
35	-15	1.83327594741902	1.027074537	-0.3930317481	1.466814453
40	-15	1.84068977771584	1.159008753	-0.3701055845	1.381252846
45	-15	1.84851418286357	1.284248926	-0.3441134627	1.284248926

-45	-10	1.84750999110346	-1.296349436	-0.2285813819	1.296349436
-40	-10	1.83936938783203	-1.171683445	-0.2462155821	1.396357955
-35	-10	1.83160965250657	-1.039777935	-0.2618379465	1.484956785
-30	-10	1.82444724271197	-0.9017702874	-0.2754072191	1.561911955
-25	-10	1.81807195170556	-0.7587233007	-0.2868994032	1.627087369
-20	-10	1.81264250879173	-0.6116213038	-0.2963026305	1.680415721
-15	-10	1.80828787582853	-0.4613752806	-0.3036131942	1.721875989
-10	-10	1.80510723090738	-0.3088319508	-0.3088319508	1.751473028
-5	-10	1.80316996652578	-0.1547867836	-0.3119614029	1.769221033
0	-10	1.80251916411255	0.000000000	-0.3130041681	1.775134848
5	-10	1.80316963330425	0.1547867550	-0.3119613453	1.769220706
10	-10	1.80510723087668	0.3088319508	-0.3088319508	1.751473028
15	-10	1.80828908816375	0.4613755900	-0.3036133978	1.721877143
20	-10	1.81264650174640	0.6116226511	-0.2963032832	1.680419423
25	-10	1.81808101230227	0.7587270819	-0.2869008330	1.627095478
30	-10	1.82446345613879	0.9017783012	-0.2754096666	1.561925835
35	-10	1.83163443769001	1.039792005	-0.2618414896	1.484976880
40	-10	1.83940436057752	1.171705722	-0.2462202635	1.396384504
45	-10	1.84755557281039	1.296381419	-0.2285870215	1.296381419

-45	-5	1.84695763676769	-1.303504309	-0.1140418499	1.303504309
-40	-5	1.83861501722353	-1.179193623	-0.1229485394	1.405308236
-35	-5	1.83063426226751	-1.047322550	-0.1308595597	1.495731612
-30	-5	1.82324329709197	-0.9090161880	-0.1377475956	1.574462223
-25	-5	1.81664495360002	-0.7653451758	-0.1435940959	1.641288026
-20	-5	1.81101098187158	-0.6173195522	-0.1483870314	1.696071530
-15	-5	1.80648251690382	-0.4658914513	-0.1521192135	1.738730567
-10	-5	1.80316963332195	-0.3119613453	-0.1547867550	1.769220706
-5	-5	1.80114972578852	-0.1563876957	-0.1563876957	1.787519542
0	-5	1.80047095785045	0.000000000	-0.1569213836	1.793619622
5	-5	1.80114972578072	0.1563876957	-0.1563876957	1.787519542
10	-5	1.80316996651250	0.3119614029	-0.1547867836	1.769221033
15	-5	1.80648363350044	0.4658917392	-0.1521193076	1.738731642
20	-5	1.81101364284552	0.6173204593	-0.1483872495	1.696074022
25	-5	1.81665027862883	0.7653474193	-0.1435945168	1.641292837
30	-5	1.82325231861832	0.9090206859	-0.1377482772	1.574470013
35	-5	1.83064760697317	1.047330184	-0.1308605136	1.495742515
40	-5	1.83863342027472	1.179205425	-0.1229497700	1.405322302
45	-5	1.84698124549889	1.303520971	-0.1140433077	1.303520971

-45	0	1.84678244776698	-1.305872392	0.000000000	1.305872392
-40	0	1.83837051347225	-1.181681788	0.000000000	1.408273516
-35	0	1.83031389863257	-1.049824923	0.000000000	1.499305372
-30	0	1.82284451660170	-0.9114222583	0.000000000	1.578629659
-25	0	1.81616955913990	-0.7675464221	0.000000000	1.646008614
-20	0	1.81046539793926	-0.6192156349	0.000000000	1.701280975
-15	0	1.80587734002480	-0.4673954487	0.000000000	1.744343562
-10	0	1.80251916411542	-0.3130041681	0.000000000	1.775134848
-5	0	1.80047095785106	-0.1569213836	0.000000000	1.793619622
0	0	1.79978260895389	0.000000000	0.000000000	1.799782609
5	0	1.80047095785106	0.1569213836	0.000000000	1.793619622
10	0	1.80251916411542	0.3130041681	0.000000000	1.775134848
15	0	1.80587734002479	0.4673954487	0.000000000	1.744343562
20	0	1.81046539793925	0.6192156349	0.000000000	1.701280975
25	0	1.81616955913990	0.7675464221	0.000000000	1.646008614
30	0	1.82284451660170	0.9114222583	0.000000000	1.578629659
35	0	1.83031389863257	1.049824923	0.000000000	1.499305372
40	0	1.83837051347224	1.181681788	0.000000000	1.408273516
45	0	1.84678244776698	1.305872392	0.000000000	1.305872392

-45	5	1.84698124549889	-1.303520971	0.1140433077	1.303520971
-40	5	1.83863342027472	-1.179205425	0.1229497700	1.405322302
-35	5	1.83064760697316	-1.047330184	0.1308605136	1.495742515
-30	5	1.82325231861831	-0.9090206859	0.1377482772	1.574470013
-25	5	1.81665027862882	-0.7653474193	0.1435945168	1.641292837
-20	5	1.81101364284550	-0.6173204593	0.1483872495	1.696074022
-15	5	1.80648363350040	-0.4658917392	0.1521193076	1.738731642
-10	5	1.80316996651243	-0.3119614029	0.1547867836	1.769221033
-5	5	1.80114972578061	-0.1563876957	0.1563876957	1.787519542
0	5	1.80047095785023	0.000000000	0.1569213836	1.793619622
5	5	1.80114972578840	0.1563876957	0.1563876957	1.787519542
10	5	1.80316963332188	0.3119613453	0.1547867550	1.769220706
15	5	1.80648251690378	0.4658914513	0.1521192135	1.738730567
20	5	1.81101098187156	0.6173195522	0.1483870314	1.696071530
25	5	1.81664495360000	0.7653451758	0.1435940959	1.641288026
30	5	1.82324329709196	0.9090161880	0.1377475956	1.574462223
35	5	1.83063426226750	1.047322550	0.1308595597	1.495731612
40	5	1.83861501722352	1.179193623	0.1229485394	1.405308236
45	5	1.84695763676768	1.303504309	0.1140418499	1.303504309

-45	10	1.84755557281038	-1.296381419	0.2285870215	1.296381419
-40	10	1.83940436057751	-1.171705722	0.2462202635	1.396384504
-35	10	1.83163443769000	-1.039792005	0.2618414896	1.484976880
-30	10	1.82446345613877	-0.9017783012	0.2754096666	1.561925835
-25	10	1.81808101230224	-0.7587270819	0.2869008330	1.627095478
-20	10	1.81264650174635	-0.6116226511	0.2963032832	1.680419423
-15	10	1.80828908816368	-0.4613755900	0.3036133978	1.721877143
-10	10	1.80510723087656	-0.3088319508	0.3088319508	1.751473028
-5	10	1.80316963330408	-0.1547867550	0.3119613453	1.769220706
0	10	1.80251916411230	0.000000000	0.3130041681	1.775134848
5	10	1.80316996652561	0.1547867836	0.3119614029	1.769221033
10	10	1.80510723090726	0.3088319508	0.3088319508	1.751473028
15	10	1.80828787582846	0.4613752806	0.3036131942	1.721875989
20	10	1.81264250879168	0.6116213038	0.2963026305	1.680415721
25	10	1.81807195170552	0.7587233007	0.2868994032	1.627087369
30	10	1.82444724271195	0.9017702874	0.2754072191	1.561911955
35	10	1.83160965250656	1.039777935	0.2618379465	1.484956785
40	10	1.83936938783202	1.171683445	0.2462155821	1.396357955
45	10	1.84750999110345	1.296349436	0.2285813819	1.296349436

-45	15	1.84851418286356	-1.284248926	0.3441134627	1.284248926
-40	15	1.84068977771583	-1.159008753	0.3701055845	1.381252846
-35	15	1.83327594741900	-1.027074537	0.3930317481	1.466814453
-30	15	1.82647207528682	-0.8895987015	0.4128641942	1.540830149
-25	15	1.82044669077133	-0.7476247927	0.4295993341	1.603286542
-20	15	1.81533873942017	-0.6020899963	0.4432492360	1.654228669
-15	15	1.81125849077385	-0.4538340118	0.4538340118	1.693731590
-10	15	1.80828787577895	-0.3036131942	0.4613752806	1.721875989
-5	15	1.80648251687446	-0.1521192135	0.4658914513	1.738730567
0	15	1.80587734001751	0.000000000	0.4673954487	1.744343562
5	15	1.80648363351677	0.1521193076	0.4658917392	1.738731642
10	15	1.80828908820508	0.3036133978	0.4613755900	1.721877143
15	15	1.81125849084176	0.4538340118	0.4538340118	1.693731590
20	15	1.81533508365183	0.6020887838	0.4432483434	1.654225338
25	15	1.82043607202537	0.7476204318	0.4295968283	1.603277190
30	15	1.82645156646589	0.8895887125	0.4128595583	1.540812848
35	15	1.83324297087028	1.027056062	0.3930246784	1.466788068
40	15	1.84064177675595	1.158978529	0.3700959330	1.381216826
45	15	1.84845019479341	1.284204471	0.3441015509	1.284204471

-45	20	1.84987041624319	-1.266774758	0.4610683054	1.266774758
-40	20	1.84249852613187	-1.140821823	0.4948461076	1.359578507
-35	20	1.83557264536175	-1.008952109	0.5244567009	1.440932943
-30	20	1.82926646007723	-0.8723240579	0.5499261170	1.510909589
-25	20	1.82372113275415	-0.7319432649	0.5713085705	1.569657397
-20	20	1.81904859169166	-0.5886724598	0.5886724598	1.617364291
-15	20	1.81533508355592	-0.4432483434	0.6020887837	1.654225338
-10	20	1.81264250872234	-0.2963026305	0.6116213037	1.680415721
-5	20	1.81101098182971	-0.1483870314	0.6173195522	1.696071530
0	20	1.81046539792599	0.000000000	0.6192156349	1.701280975
5	20	1.81101364286272	0.1483872495	0.6173204593	1.696074022
10	20	1.81264650179585	0.2963032832	0.6116226511	1.680419423
15	20	1.81533873950418	0.4432492360	0.6020899963	1.654228669
20	20	1.81904859181290	0.5886724598	0.5886724598	1.617364291
25	20	1.82371317927371	0.7319400728	0.5713060790	1.569650552
30	20	1.82924679616059	0.8723146807	0.5499202055	1.510893347
35	20	1.83553717674918	1.008932613	0.5244465669	1.440905100
40	20	1.84244341196741	1.140787698	0.4948313054	1.359537838
45	20	1.84979352298898	1.266722102	0.4610491403	1.266722102

-45	25	1.85164271321161	-1.243457581	0.5798337925	1.243457581
-40	25	1.84484172633458	-1.116731953	0.6205945545	1.330869317
-35	25	1.83852227411282	-0.9851120646	0.6560416373	1.406885831
-30	25	1.83282595164553	-0.8497399551	0.6863082424	1.471792776
-25	25	1.82786289580251	-0.7115534304	0.7115534304	1.525931256
-20	25	1.82371317911464	-0.5713060789	0.7319400728	1.569650551
-15	25	1.82043607190127	-0.4295968282	0.7476204317	1.603277190
-10	25	1.81807195161637	-0.2868994031	0.7587233007	1.627087369
-5	25	1.81664495354530	-0.1435940959	0.7653451758	1.641288026
0	25	1.81616955911947	0.000000000	0.7675464221	1.646008614
5	25	1.81665027864456	0.1435945168	0.7653474193	1.641292837
10	25	1.81808101235679	0.2869008330	0.7587270820	1.627095478
15	25	1.82044669086828	0.4295993342	0.7476247927	1.603286542
20	25	1.82372113289797	0.5713085706	0.7319432650	1.569657397
25	25	1.82786289599626	0.7115534305	0.7115534305	1.525931256
30	25	1.83281303468258	0.8497339665	0.6863034056	1.471782403
35	25	1.83849030536220	0.9850949352	0.6560302299	1.406861368
40	25	1.84478573104634	1.116698058	0.6205757180	1.330828922
45	25	1.85155979550424	1.243401898	0.5798078272	1.243401898

-45	30	1.85385171319169	-1.213630829	0.7006900858	1.213630829
-40	30	1.84772858368183	-1.086203662	0.7473724849	1.294487116
-35	30	1.84211619048065	-0.9551600736	0.7875692498	1.364109955
-30	30	1.83711926640617	-0.8215847125	0.8215847125	1.423026465
-25	30	1.83281303443991	-0.6863034055	0.8497339664	1.471782403
-20	30	1.82924679596716	-0.5499202055	0.8723146806	1.510893347
-15	30	1.82645156631730	-0.4128595583	0.8895887124	1.540812848
-10	30	1.82444724260491	-0.2754072191	0.9017702874	1.561911954
-5	30	1.82324329702446	-0.1377475956	0.9090161880	1.574462222
0	30	1.82284451657311	0.000000000	0.9114222583	1.578629659
5	30	1.82325231863015	0.1377482772	0.9090206859	1.574470013
10	30	1.82446345619406	0.2754096666	0.9017783013	1.561925835
15	30	1.82647207539043	0.4128641942	0.8895987016	1.540830149
20	30	1.82926646023628	0.5499261171	0.8723240579	1.510909589
25	30	1.83282595186828	0.6863082425	0.8497399552	1.471792776
30	30	1.83711926669915	0.8215847126	0.8215847126	1.423026465
35	30	1.84209566503444	0.9551494309	0.7875604745	1.364094756
40	30	1.84768126205757	1.086175843	0.7473533441	1.294453963
45	30	1.85377248864496	1.213578964	0.7006601417	1.213578964

-45	35	1.85651946578225	-1.176452760	0.8237610908	1.176452760
-40	35	1.85116354825509	-1.048582298	0.8750155553	1.249651721
-35	35	1.84633320241733	-0.9186298137	0.9186298137	1.311939337
-30	35	1.84209566467852	-0.7875604743	0.9551494307	1.364094756
-25	35	1.83849030508362	-0.6560302298	0.9850949350	1.406861368
-20	35	1.83553717653257	-0.5244465668	1.008932613	1.440905100
-15	35	1.83324297070501	-0.3930246783	1.027056062	1.466788068
-10	35	1.83160965238662	-0.2618379464	1.039777935	1.484956785
-5	35	1.83063426218968	-0.1308595597	1.047322550	1.495731612
0	35	1.83031389859581	0.000000000	1.049824923	1.499305372
5	35	1.83064760697857	0.1308605136	1.047330184	1.495742515
10	35	1.83163443774079	0.2618414896	1.039792005	1.484976880
15	35	1.83327594752073	0.3930317481	1.027074537	1.466814453
20	35	1.83557264552338	0.5244567010	1.008952109	1.440932943
25	35	1.83852227434847	0.6560416374	0.9851120647	1.406885832
30	35	1.84211619081086	0.7875692500	0.9551600737	1.364109955
35	35	1.84633320286099	0.9186298139	0.9186298139	1.311939338
40	35	1.85113458551936	1.048565893	0.8750018650	1.249632169
45	35	1.85645368158409	1.176411073	0.8237319015	1.176411073

-45	40	1.85966093542649	-1.130897756	0.9489358903	1.130897756
-40	40	1.85513767576465	-1.003103000	1.003103000	1.195451604
-35	40	1.85113458499946	-0.8750018648	1.048565892	1.249632169
-30	40	1.84768126168041	-0.7473533440	1.086175843	1.294453963
-25	40	1.84478573075989	-0.6205757179	1.116698057	1.330828922
-20	40	1.84244341174552	-0.4948313053	1.140787698	1.359537838
-15	40	1.84064177658565	-0.3700959330	1.158978529	1.381216826
-10	40	1.83936938770644	-0.2462155821	1.171683445	1.396357955
-5	40	1.83861501713912	-0.1229485394	1.179193623	1.405308236
0	40	1.83837051342795	0.000000000	1.181681788	1.408273516
5	40	1.83863342027145	0.1229497700	1.179205425	1.405322302
10	40	1.83940436061831	0.2462202635	1.171705722	1.396384504
15	40	1.84068977780597	0.3701055846	1.159008753	1.381252846
20	40	1.84249852628003	0.4948461076	1.140821824	1.359578507
25	40	1.84484172655622	0.6205945546	1.116731953	1.330869317
30	40	1.84772858400635	0.7473724850	1.086203662	1.294487116
35	40	1.85116354874128	0.8750155555	1.048582299	1.249651721
40	40	1.85513767649727	1.003103001	1.003103001	1.195451605
45	40	1.85962155188449	1.130873806	0.9489157939	1.130873806

-45	45	1.86328023589511	-1.075765346	1.075765346	1.075765346
-40	45	1.85962155115010	-0.9489157935	1.130873806	1.130873806
-35	45	1.85645368112925	-0.8237319013	1.176411073	1.176411073
-30	45	1.85377248830966	-0.7006601416	1.213578964	1.213578964
-25	45	1.85155979524144	-0.5798078271	1.243401898	1.243401898
-20	45	1.84979352278024	-0.4610491402	1.266722102	1.266722102
-15	45	1.84845019462963	-0.3441015508	1.284204471	1.284204471
-10	45	1.84750999097960	-0.2285813819	1.296349436	1.296349436
-5	45	1.84695763668102	-0.1140418499	1.303504309	1.303504309
0	45	1.84678244771656	0.000000000	1.305872392	1.305872392
5	45	1.84698124548542	0.1140433077	1.303520971	1.303520971
10	45	1.84755557283670	0.2285870215	1.296381419	1.296381419
15	45	1.84851418293395	0.3441134627	1.284248926	1.284248926
20	45	1.84987041636386	0.4610683054	1.266774758	1.266774758
25	45	1.85164271339305	0.5798337926	1.243457581	1.243457581
30	45	1.85385171345409	0.7006900859	1.213630829	1.213630829
35	45	1.85651946617517	0.8237610909	1.176452760	1.176452760
40	45	1.85966093611595	0.9489358906	1.130897757	1.130897757
45	45	1.86328023755528	1.075765347	1.075765347	1.075765347


### +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	1.86328011361551	1.075765275	-1.075765275	1.075765275
45	-40	1.85966081890512	1.130897686	-0.9489358308	1.130897686
45	-35	1.85651943994601	1.176452743	-0.8237610793	1.176452743
45	-30	1.85385162873313	1.213630774	-0.7006900539	1.213630774
45	-25	1.85164268270318	1.243457560	-0.5798337830	1.243457560
45	-20	1.84987039960324	1.266774747	-0.4610683013	1.266774747
45	-15	1.84851418005440	1.284248924	-0.3441134621	1.284248924
45	-10	1.84755557277868	1.296381419	-0.2285870215	1.296381419
45	-5	1.84698124596385	1.303520972	-0.1140433077	1.303520972
45	0	1.84678244814816	1.305872392	0.000000000	1.305872392
45	5	1.84695763745610	1.303504310	0.1140418500	1.303504310
45	10	1.84750999217704	1.296349436	0.2285813821	1.296349436
45	15	1.84845019170008	1.284204469	0.3441015503	1.284204469
45	20	1.84979351801288	1.266722099	0.4610491390	1.266722099
45	25	1.85155975832131	1.243401873	0.5798078156	1.243401873
45	30	1.85377242766033	1.213578924	0.7006601187	1.213578924
45	35	1.85645363290664	1.176411042	0.8237318799	1.176411042
45	40	1.85962141818020	1.130873725	0.9489157257	1.130873725
45	45	1.86328014627211	1.075765294	1.075765294	1.075765294

50	-45	1.87060825632835	1.137555046	-1.137555046	0.9545220192
50	-40	1.86740961166870	1.203359646	-1.009738635	1.009738635
50	-35	1.86456408810590	1.258697928	-0.8813497772	1.056172967
50	-30	1.86209563589210	1.304552428	-0.7531836952	1.094649461
50	-25	1.86001492640561	1.341815268	-0.6256987351	1.125916696
50	-20	1.85831993597061	1.371253115	-0.4990953175	1.150617983
50	-15	1.85700632428916	1.393496775	-0.3733863356	1.169282630
50	-10	1.85606776406605	1.409034533	-0.2484508049	1.182320357
50	-5	1.85549986638464	1.418213829	-0.1240776325	1.190022701
50	0	1.85529908168089	1.421241552	0.000000000	1.192563262
50	5	1.85546606015049	1.418187990	0.1240753719	1.190001020
50	10	1.85600290811243	1.408985298	0.2484421234	1.182279044
50	15	1.85691565277468	1.393428736	0.3733681044	1.169225538
50	20	1.85821246816193	1.371173815	0.4990664545	1.150551442
50	25	1.85990016607603	1.341732480	0.6256601304	1.125847229
50	30	1.86198740059327	1.304476600	0.7531399160	1.094585834
50	35	1.86447649182077	1.258638795	0.8813083719	1.056123348
50	40	1.86735810698765	1.203326456	1.009710785	1.009710785
50	45	1.87060824591195	1.137555039	1.137555039	0.9545220139

55	-45	1.87704334068148	1.189458478	-1.189458478	0.8328677928
55	-40	1.87437510291444	1.265320979	-1.061730367	0.8859872878
55	-35	1.87194900599122	1.330141025	-0.9313747727	0.9313747727
55	-30	1.86980326553428	1.384612579	-0.7994064450	0.9695161651
55	-25	1.86796034393548	1.429412620	-0.6665460516	1.000885492
55	-20	1.86643585107752	1.465160701	-0.5332748837	1.025916568
55	-15	1.86523828971730	1.492387704	-0.3998840800	1.044981120
55	-10	1.86437253583391	1.511518922	-0.2665215678	1.058376943
55	-5	1.86384274575098	1.522864819	-0.1332334077	1.066321426
55	0	1.86365008320891	1.526612775	0.000000000	1.068945773
55	5	1.86379727769197	1.522827669	0.1332301575	1.066295413
55	10	1.86428581018585	1.511448610	0.2665091699	1.058327711
55	15	1.86511711191982	1.492290749	0.3998581010	1.044913231
55	20	1.86629306770494	1.465048616	0.5332340879	1.025838085
55	25	1.86781043050388	1.429297903	0.6664925578	1.000805166
55	30	1.86966315733827	1.384508827	0.7993465439	0.9694435173
55	35	1.87183843271997	1.330062456	0.9313197577	0.9313197577
55	40	1.87431159013116	1.265278104	1.061694390	0.8859572664
55	45	1.87704329473302	1.189458449	1.189458449	0.8328677724

60	-45	1.88255734875472	1.232423079	-1.232423079	0.7115397962
60	-40	1.88046893610587	1.317424448	-1.105450369	0.7606153598
60	-35	1.87853269683118	1.391076831	-0.9740424834	0.8031385829
60	-30	1.87678564568094	1.453751910	-0.8393240566	0.8393240566
60	-25	1.87525821674497	1.505866661	-0.7021971561	0.8694125220
60	-20	1.87397689072748	1.547838828	-0.5633672608	0.8936451640
60	-15	1.87295607737478	1.580044519	-0.4233716530	0.9122391286
60	-10	1.87220860346736	1.602800525	-0.2826169773	0.9253773148
60	-5	1.87174415727407	1.616345153	-0.1414118772	0.9331973092
60	0	1.87156833149513	1.620825720	0.000000000	0.9357841657
60	5	1.87168557079942	1.616294561	0.1414074510	0.9331680996
60	10	1.87209758495368	1.602705482	0.2826002187	0.9253224416
60	15	1.87280205243265	1.579914582	0.4233368365	0.9121641095
60	20	1.87379718335092	1.547690396	0.5633132360	0.8935594668
60	25	1.87507350205045	1.505718332	0.7021279890	0.8693268840
60	30	1.87661405284380	1.453618995	0.8392473179	0.8392473179
60	35	1.87839864222773	1.390977562	0.9739729744	0.8030812699
60	40	1.88039414057751	1.317372048	1.105406399	0.7605851064
60	45	1.88255737071487	1.232423093	1.232423093	0.7115398045

65	-45	1.88715670218612	1.267306749	-1.267306749	0.5909548424
65	-40	1.88564241799074	1.360302947	-1.141429701	0.6343196816
65	-35	1.88421123206294	1.441848230	-1.009592999	0.6723448713
65	-30	1.88289537151144	1.511999436	-0.8729532813	0.7050569160
65	-25	1.88172763483038	1.570898463	-0.7325219833	0.7325219833
65	-20	1.88073118847316	1.618725346	-0.5891678435	0.7548240254
65	-15	1.87992414213412	1.655668959	-0.4436351604	0.7720511148
65	-10	1.87932339742245	1.681904481	-0.2965651390	0.7842849398
65	-5	1.87894269393128	1.697572296	-0.1485183314	0.7915909620
65	0	1.87879068868771	1.702762631	0.000000000	0.7940112550
65	5	1.87887139851999	1.697507883	0.1485126960	0.7915609256
65	10	1.87918881929890	1.681784040	0.2965439020	0.7842287773
65	15	1.87973775371719	1.655504804	0.4435911754	0.7719745684
65	20	1.88051393194126	1.618538356	0.5890997845	0.7547368303
65	25	1.88150624312276	1.570713641	0.7324357996	0.7324357996
65	30	1.88269484091491	1.511838406	0.8728603107	0.7049818266
65	35	1.88405576258252	1.441729260	1.009509696	0.6722893950
65	40	1.88555668073885	1.360241096	1.141377802	0.6342908400
65	45	1.88715671064439	1.267306755	1.267306755	0.5909548450

70	-45	1.89086281764529	1.294845989	-1.294845989	0.4712853978
70	-40	1.88987216039518	1.394535482	-1.170154208	0.5075694059
70	-35	1.88891722066672	1.482808680	-1.038273815	0.5396982225
70	-30	1.88802313959295	1.559440534	-0.9003434122	0.5675899366
70	-25	1.88721457894338	1.624305531	-0.7574261085	0.5911988648
70	-20	1.88651016686565	1.677346164	-0.6105040764	0.6105040764
70	-15	1.88592833943050	1.718553491	-0.4604850199	0.6255023166
70	-10	1.88548553620643	1.747945070	-0.3082098767	0.6361999767
70	-5	1.88519635865387	1.765548583	-0.1544654859	0.6426071314
70	0	1.88507011316506	1.771386475	0.000000000	0.6447319503
70	5	1.88511375507396	1.765471222	0.1544587177	0.6425789743
70	10	1.88533005350299	1.747800930	0.3081844608	0.6361475138
70	15	1.88571397618842	1.718358152	0.4604326791	0.6254312191
70	20	1.88625995560239	1.677123695	0.6104231041	0.6104231041
70	25	1.88696021420508	1.624086602	0.7573240202	0.5911191811
70	30	1.88779603263745	1.559252952	0.9002351115	0.5675216622
70	35	1.88874378922987	1.482672535	1.038178486	0.5396486699
70	40	1.88977717991692	1.394465396	1.170095399	0.5075438967
70	45	1.89086281771190	1.294845989	1.294845989	0.4712853979

75	-45	1.89370557865390	1.315645494	-1.315645494	0.3525261477
75	-40	1.89315347096371	1.420621579	-1.192043043	0.3806544049
75	-35	1.89260771946574	1.514286139	-1.060314570	0.4057517481
75	-30	1.89208472146813	1.596181635	-0.9215558968	0.4276955802
75	-25	1.89159799403373	1.665950243	-0.7768453563	0.4463900222
75	-20	1.89116149899327	1.723322211	-0.6272379888	0.4617627947
75	-15	1.89078812996130	1.768100800	-0.4737611814	0.4737611814
75	-10	1.89049395855561	1.800153724	-0.3174156710	0.4823497366
75	-5	1.89029234541360	1.819397116	-0.1591766221	0.4875059880
75	0	1.89019210096486	1.825785367	0.000000000	0.4892177146
75	5	1.89020071517017	1.819308922	0.1591689062	0.4874823565
75	10	1.89032143138826	1.799989442	0.3173867035	0.4823057172
75	15	1.89055088893990	1.767878953	0.4737017377	0.4737017377
75	20	1.89088482161789	1.723070088	0.6271462237	0.4616952387
75	25	1.89131734600021	1.665703073	0.7767300992	0.4463237933
75	30	1.89183536862189	1.595971279	0.9214344474	0.4276392153
75	35	1.89242034066504	1.514136216	1.060209593	0.4057115764
75	40	1.89305134801277	1.420544946	1.191978741	0.3806338712
75	45	1.89370557465834	1.315645492	1.315645492	0.3525261470

80	-45	1.89571294065706	1.330172185	-1.330172185	0.2345452451
80	-40	1.89549015392581	1.438962055	-1.207432530	0.2537278345
80	-35	1.89525786309659	1.536558851	-1.075910091	0.2709367830
80	-30	1.89502275034260	1.622331750	-0.9366536725	0.2860608592
80	-25	1.89478978361933	1.695746156	-0.7907394190	0.2990057998
80	-20	1.89456641045356	1.756363522	-0.6392640426	0.3096942769
80	-15	1.89436121607475	1.803836179	-0.4833364474	0.3180649871
80	-10	1.89418877549110	1.837907739	-0.3240727225	0.3240727225
80	-5	1.89406008028590	1.858399925	-0.1625889258	0.3276860478
80	0	1.89398232446037	1.865208477	0.000000000	0.3288865792
80	5	1.89396257257856	1.858304254	0.1625805556	0.3276691783
80	10	1.89400501480335	1.837729439	0.3240412833	0.3240412833
80	15	1.89410850337424	1.803595542	0.4832719690	0.3180225564
80	20	1.89427065469681	1.756089341	0.6391642488	0.3096459313
80	25	1.89449017646863	1.695478022	0.7906143861	0.2989585205
80	30	1.89475706530115	1.622104297	0.9365223523	0.2860207530
80	35	1.89505932519681	1.536397889	1.075797384	0.2709084010
80	40	1.89538287524546	1.438880614	1.207364193	0.2537134743
80	45	1.89571293697476	1.330172182	1.330172182	0.2345452447

85	-45	1.89690795938565	1.338757127	-1.338757127	0.1171260718
85	-40	1.89688856376149	1.449848444	-1.216567295	0.1268453027
85	-35	1.89685196687671	1.549835217	-1.085206302	0.1355930119
85	-30	1.89679823959312	1.637980612	-0.9456885474	0.1433047346
85	-25	1.89672758328917	1.713640448	-0.7990836640	0.1499241125
85	-20	1.89664069814890	1.776266585	-0.6465081649	0.1554031895
85	-15	1.89654480666974	1.825415079	-0.4891184964	0.1597031257
85	-10	1.89645264050114	1.860747440	-0.3280999780	0.1627943067
85	-5	1.89637267291846	1.882021890	-0.1646555799	0.1646555799
85	0	1.89631028464589	1.889094252	0.000000000	0.1652743313
85	5	1.89627201273390	1.881921992	0.1646468399	0.1646468399
85	10	1.89626293326599	1.860561305	0.3280671573	0.1627780219
85	15	1.89628372220108	1.825163787	0.4890511627	0.1596811404
85	20	1.89633363763013	1.775979012	0.6464034971	0.1553780302
85	25	1.89641508010772	1.713358110	0.7989520077	0.1498994112
85	30	1.89652251538007	1.637742511	0.9455510793	0.1432839034
85	35	1.89664645491337	1.549667303	1.085088727	0.1355783212
85	40	1.89677823793983	1.449764119	1.216496537	0.1268379252
85	45	1.89690795643056	1.338757125	1.338757125	0.1171260716

90	-45	1.89730387139500	1.341596433	-1.341596433	0.000000000
90	-40	1.89735328668661	1.453456942	-1.219595184	0.000000000
90	-35	1.89738330499579	1.554245413	-1.088294354	0.000000000
90	-30	1.89739163282930	1.643189355	-0.9486958164	0.000000000
90	-25	1.89737673744831	1.719607312	-0.8018660586	0.000000000
90	-20	1.89733700654017	1.782913584	-0.6489274749	0.000000000
90	-15	1.89727908056833	1.832630864	-0.4910519599	0.000000000
90	-10	1.89721501947646	1.868392060	-0.3294479308	0.000000000
90	-5	1.89715222644554	1.889932989	-0.1653477114	0.000000000
90	0	1.89709530261588	1.897095303	0.000000000	0.000000000
90	5	1.89705057384327	1.889831724	0.1653388518	0.000000000
90	10	1.89702348976693	1.868203440	0.3294146720	0.000000000
90	15	1.89701542517315	1.832376192	0.4909837209	0.000000000
90	20	1.89702628649866	1.782621603	0.6488212024	0.000000000
90	25	1.89705995031391	1.719320205	0.8017321786	0.000000000
90	30	1.89711256795921	1.642947678	0.9485562840	0.000000000
90	35	1.89717544316135	1.554075143	1.088175130	0.000000000
90	40	1.89724195635286	1.453371658	1.219523622	0.000000000
90	45	1.89730386944125	1.341596432	1.341596432	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	1.86328011413454	1.075765275	1.075765275	1.075765275
40	45	1.85966081936152	0.9489358311	1.130897686	1.130897686
35	45	1.85651944029104	0.8237610795	1.176452744	1.176452744
30	45	1.85385162898460	0.7006900540	1.213630774	1.213630774
25	45	1.85164268288181	0.5798337830	1.243457560	1.243457560
20	45	1.84987039972312	0.4610683013	1.266774747	1.266774747
15	45	1.84851418012456	0.3441134622	1.284248924	1.284248924
10	45	1.84755557280493	0.2285870215	1.296381419	1.296381419
5	45	1.84698124595036	0.1140433077	1.303520972	1.303520972
0	45	1.84678244809775	0.000000000	1.305872392	1.305872392
-5	45	1.84695763736946	-0.1140418500	1.303504310	1.303504310
-10	45	1.84750999205329	-0.2285813821	1.296349436	1.296349436
-15	45	1.84845019153660	-0.3441015502	1.284204468	1.284204468
-20	45	1.84979351780511	-0.4610491390	1.266722099	1.266722099
-25	45	1.85155975806189	-0.5798078155	1.243401873	1.243401873
-30	45	1.85377242733772	-0.7006601186	1.213578924	1.213578924
-35	45	1.85645363250474	-0.8237318797	1.176411042	1.176411042
-40	45	1.85962141769018	-0.9489157254	1.130873725	1.130873725
-45	45	1.86328014575263	-1.075765294	1.075765294	1.075765294

45	50	1.87060825669599	1.137555046	1.137555046	0.9545220194
40	50	1.86740961203062	1.009738635	1.203359646	1.009738635
35	50	1.86456408841139	0.8813497774	1.258697928	1.056172967
30	50	1.86209563612915	0.7531836953	1.304552428	1.094649461
25	50	1.86001492657880	0.6256987352	1.341815268	1.125916696
20	50	1.85831993608804	0.4990953175	1.371253115	1.150617983
15	50	1.85700632435738	0.3733863357	1.393496776	1.169282630
10	50	1.85606776408963	0.2484508049	1.409034533	1.182320357
5	50	1.85549986636736	0.1240776325	1.418213829	1.190022701
0	50	1.85529908162561	0.000000000	1.421241552	1.192563262
-5	50	1.85546606005846	-0.1240753719	1.418187990	1.190001020
-10	50	1.85600290798295	-0.2484421234	1.408985298	1.182279044
-15	50	1.85691565260558	-0.3733681044	1.393428735	1.169225538
-20	50	1.85821246795001	-0.4990664545	1.371173814	1.150551442
-25	50	1.85990016581689	-0.6256601303	1.341732479	1.125847229
-30	50	1.86198740028231	-0.7531399159	1.304476600	1.094585834
-35	50	1.86447649145858	-0.8813083717	1.258638794	1.056123348
-40	50	1.86735810659446	-1.009710785	1.203326456	1.009710785
-45	50	1.87060824554370	-1.137555039	1.137555039	0.9545220137

45	55	1.87704334097105	1.189458478	1.189458478	0.8328677929
40	55	1.87437510320159	1.061730367	1.265320979	0.8859872880
35	55	1.87194900624628	0.9313747728	1.330141025	0.9313747728
30	55	1.86980326574189	0.7994064451	1.384612579	0.9695161652
25	55	1.86796034409177	0.6665460516	1.429412621	1.000885492
20	55	1.86643585118479	0.5332748837	1.465160701	1.025916568
15	55	1.86523828977893	0.3998840800	1.492387704	1.044981120
10	55	1.86437253585284	0.2665215678	1.511518922	1.058376943
5	55	1.86384274573019	0.1332334077	1.522864819	1.066321426
0	55	1.86365008315066	0.000000000	1.526612775	1.068945773
-5	55	1.86379727759762	-0.1332301575	1.522827669	1.066295413
-10	55	1.86428581005559	-0.2665091699	1.511448610	1.058327710
-15	55	1.86511711175264	-0.3998581010	1.492290749	1.044913231
-20	55	1.86629306749959	-0.5332340878	1.465048616	1.025838084
-25	55	1.86781043025980	-0.6664925577	1.429297903	1.000805166
-30	55	1.86966315705718	-0.7993465437	1.384508827	0.9694435171
-35	55	1.87183843241055	-0.9313197576	1.330062455	0.9313197576
-40	55	1.87431158981565	-1.061694390	1.265278104	0.8859572662
-45	55	1.87704329444321	-1.189458449	1.189458449	0.8328677723

45	60	1.88255734899745	1.232423079	1.232423079	0.7115397963
40	60	1.88046893634333	1.105450369	1.317424448	0.7606153599
35	60	1.87853269704476	0.9740424835	1.391076831	0.8031385830
30	60	1.87678564585830	0.8393240567	1.453751910	0.8393240567
25	60	1.87525821688124	0.7021971561	1.505866661	0.8694125220
20	60	1.87397689082149	0.5633672608	1.547838828	0.8936451640
15	60	1.87295607742754	0.4233716530	1.580044519	0.9122391287
10	60	1.87220860348064	0.2826169773	1.602800525	0.9253773148
5	60	1.87174415724987	0.1414118772	1.616345153	0.9331973091
0	60	1.87156833143524	0.000000000	1.620825720	0.9357841657
-5	60	1.87168557070541	-0.1414074510	1.616294560	0.9331680996
-10	60	1.87209758482609	-0.2826002186	1.602705482	0.9253224416
-15	60	1.87280205227205	-0.4233368364	1.579914582	0.9121641094
-20	60	1.87379718315828	-0.5633132359	1.547690396	0.8935594667
-25	60	1.87507350182701	-0.7021279889	1.505718331	0.8693268839
-30	60	1.87661405259465	-0.8392473178	1.453618995	0.8392473178
-35	60	1.87839864196313	-0.9739729743	1.390977562	0.8030812698
-40	60	1.88039414031442	-1.105406399	1.317372048	0.7605851063
-45	60	1.88255737047208	-1.232423093	1.232423093	0.7115398044

45	65	1.88715670239810	1.267306749	1.267306749	0.5909548424
40	65	1.88564241819475	1.141429701	1.360302947	0.6343196817
35	65	1.88421123224634	1.009592999	1.441848230	0.6723448714
30	65	1.88289537166476	0.8729532814	1.511999436	0.7050569161
25	65	1.88172763494894	0.7325219833	1.570898463	0.7325219833
20	65	1.88073118855437	0.5891678435	1.618725346	0.7548240254
15	65	1.87992414217795	0.4436351604	1.655668959	0.7720511148
10	65	1.87932339743062	0.2965651390	1.681904481	0.7842849398
5	65	1.87894269390469	0.1485183314	1.697572296	0.7915909620
0	65	1.87879068862736	0.000000000	1.702762631	0.7940112550
-5	65	1.87887139842766	-0.1485126960	1.697507883	0.7915609255
-10	65	1.87918881917545	-0.2965439020	1.681784040	0.7842287772
-15	65	1.87973775356453	-0.4435911754	1.655504804	0.7719745684
-20	65	1.88051393176186	-0.5890997845	1.618538356	0.7547368302
-25	65	1.88150624291858	-0.7324357995	1.570713641	0.7324357995
-30	65	1.88269484069252	-0.8728603106	1.511838406	0.7049818266
-35	65	1.88405576235137	-1.009509696	1.441729260	0.6722893949
-40	65	1.88555668051101	-1.141377802	1.360241096	0.6342908400
-45	65	1.88715671043239	-1.267306755	1.267306755	0.5909548449

45	70	1.89086281783622	1.294845989	1.294845989	0.4712853979
40	70	1.88987216057626	1.170154208	1.394535482	0.5075694060
35	70	1.88891722082829	1.038273815	1.482808680	0.5396982225
30	70	1.88802313972771	0.9003434123	1.559440534	0.5675899366
25	70	1.88721457904736	0.7574261085	1.624305532	0.5911988648
20	70	1.88651016693657	0.6105040764	1.677346164	0.6105040764
15	70	1.88592833946719	0.4604850200	1.718553491	0.6255023166
10	70	1.88548553620984	0.3082098767	1.747945070	0.6361999767
5	70	1.88519635862471	0.1544654859	1.765548583	0.6426071314
0	70	1.88507011310405	0.000000000	1.771386475	0.6447319503
-5	70	1.88511375498293	-0.1544587177	1.765471222	0.6425789743
-10	70	1.88533005338359	-0.3081844608	1.747800929	0.6361475138
-15	70	1.88571397604292	-0.4604326791	1.718358152	0.6254312190
-20	70	1.88625995543372	-0.6104231041	1.677123695	0.6104231041
-25	70	1.88696021401735	-0.7573240201	1.624086602	0.5911191811
-30	70	1.88779603243630	-0.9002351114	1.559252952	0.5675216621
-35	70	1.88874378902297	-1.038178486	1.482672535	0.5396486699
-40	70	1.88977717971342	-1.170095399	1.394465395	0.5075438967
-45	70	1.89086281752095	-1.294845989	1.294845989	0.4712853978

45	75	1.89370557883031	1.315645495	1.315645495	0.3525261478
40	75	1.89315347112903	1.192043043	1.420621579	0.3806544050
35	75	1.89260771961172	1.060314570	1.514286139	0.4057517482
30	75	1.89208472158913	0.9215558969	1.596181635	0.4276955802
25	75	1.89159799412693	0.7768453564	1.665950243	0.4463900222
20	75	1.89116149905691	0.6272379888	1.723322211	0.4617627947
15	75	1.89078812999176	0.4737611815	1.768100800	0.4737611815
10	75	1.89049395855442	0.3174156710	1.800153724	0.4823497366
5	75	1.89029234538248	0.1591766221	1.819397116	0.4875059879
0	75	1.89019210090354	0.000000000	1.825785367	0.4892177146
-5	75	1.89020071508033	-0.1591689062	1.819308922	0.4874823565
-10	75	1.89032143127185	-0.3173867035	1.799989441	0.4823057172
-15	75	1.89055088880019	-0.4737017376	1.767878952	0.4737017376
-20	75	1.89088482145853	-0.6271462237	1.723070088	0.4616952386
-25	75	1.89131734582566	-0.7767300991	1.665703073	0.4463237932
-30	75	1.89183536843655	-0.9214344473	1.595971279	0.4276392152
-35	75	1.89242034047539	-1.060209593	1.514136216	0.4057115764
-40	75	1.89305134782612	-1.191978740	1.420544946	0.3806338711
-45	75	1.89370557448193	-1.315645491	1.315645491	0.3525261470

45	80	1.89571294082366	1.330172185	1.330172185	0.2345452452
40	80	1.89549015408036	1.207432530	1.438962055	0.2537278345
35	80	1.89525786323300	1.075910091	1.536558852	0.2709367830
30	80	1.89502275045501	0.9366536726	1.622331750	0.2860608592
25	80	1.89478978370526	0.7907394191	1.695746156	0.2990057998
20	80	1.89456641051174	0.6392640427	1.756363522	0.3096942769
15	80	1.89436121610135	0.4833364474	1.803836179	0.3180649871
10	80	1.89418877548722	0.3240727225	1.837907739	0.3240727225
5	80	1.89406008025335	0.1625889258	1.858399925	0.3276860478
0	80	1.89398232439920	0.000000000	1.865208477	0.3288865792
-5	80	1.89396257249025	-0.1625805556	1.858304253	0.3276691783
-10	80	1.89400501469011	-0.3240412833	1.837729439	0.3240412833
-15	80	1.89410850323978	-0.4832719690	1.803595542	0.3180225564
-20	80	1.89427065454485	-0.6391642488	1.756089341	0.3096459313
-25	80	1.89449017630333	-0.7906143860	1.695478022	0.2989585205
-30	80	1.89475706512743	-0.9365223522	1.622104296	0.2860207530
-35	80	1.89505932501952	-1.075797384	1.536397889	0.2709084009
-40	80	1.89538287507002	-1.207364193	1.438880614	0.2537134743
-45	80	1.89571293680816	-1.330172182	1.330172182	0.2345452447

45	85	1.89690795954680	1.338757127	1.338757127	0.1171260718
40	85	1.89688856391006	1.216567295	1.449848444	0.1268453027
35	85	1.89685196700808	1.085206302	1.549835217	0.1355930119
30	85	1.89679823970132	0.9456885475	1.637980612	0.1433047347
25	85	1.89672758337072	0.7990836641	1.713640448	0.1499241125
20	85	1.89664069820300	0.6465081649	1.776266585	0.1554031895
15	85	1.89654480669487	0.4891184964	1.825415079	0.1597031257
10	85	1.89645264049683	0.3280999780	1.860747440	0.1627943067
5	85	1.89637267288506	0.1646555799	1.882021890	0.1646555799
0	85	1.89631028458475	0.000000000	1.889094251	0.1652743313
-5	85	1.89627201264713	-0.1646468399	1.881921992	0.1646468399
-10	85	1.89626293315627	-0.3280671572	1.860561304	0.1627780219
-15	85	1.89628372207138	-0.4890511627	1.825163787	0.1596811404
-20	85	1.89633363748327	-0.6464034971	1.775979012	0.1553780302
-25	85	1.89641507994772	-0.7989520076	1.713358110	0.1498994111
-30	85	1.89652251521288	-0.9455510792	1.637742510	0.1432839034
-35	85	1.89664645474300	-1.085088727	1.549667302	0.1355783212
-40	85	1.89677823777084	-1.216496537	1.449764118	0.1268379252
-45	85	1.89690795626940	-1.338757125	1.338757125	0.1171260716

45	90	1.89730387155451	1.341596434	1.341596434	0.000000000
40	90	1.89735328683335	1.219595184	1.453456942	0.000000000
35	90	1.89738330512531	1.088294355	1.554245413	0.000000000
30	90	1.89739163293616	0.9486958165	1.643189355	0.000000000
25	90	1.89737673752793	0.8018660587	1.719607312	0.000000000
20	90	1.89733700659260	0.6489274749	1.782913584	0.000000000
15	90	1.89727908059270	0.4910519599	1.832630864	0.000000000
10	90	1.89721501947174	0.3294479308	1.868392060	0.000000000
5	90	1.89715222641190	0.1653477114	1.889932989	0.000000000
0	90	1.89709530255464	0.000000000	1.897095303	0.000000000
-5	90	1.89705057375703	-0.1653388518	1.889831724	0.000000000
-10	90	1.89702348965893	-0.3294146720	1.868203440	0.000000000
-15	90	1.89701542504598	-0.4909837209	1.832376192	0.000000000
-20	90	1.89702628635408	-0.6488212024	1.782621603	0.000000000
-25	90	1.89705995015574	-0.8017321786	1.719320205	0.000000000
-30	90	1.89711256779356	-0.9485562839	1.642947678	0.000000000
-35	90	1.89717544299278	-1.088175130	1.554075143	0.000000000
-40	90	1.89724195618599	-1.219523622	1.453371658	0.000000000
-45	90	1.89730386928173	-1.341596432	1.341596432	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	1.89730387139499	-1.341596433	1.341596433	1.642981778e-16
-90	40	1.89735328668660	-1.453456942	1.219595184	1.779971392e-16
-90	35	1.89738330499578	-1.554245413	1.088294354	1.903401670e-16
-90	30	1.89739163282930	-1.643189355	0.9486958164	2.012326584e-16
-90	25	1.89737673744831	-1.719607312	0.8018660586	2.105911591e-16
-90	20	1.89733700654017	-1.782913584	0.6489274749	2.183439414e-16
-90	15	1.89727908056833	-1.832630864	0.4910519599	2.244325521e-16
-90	10	1.89721501947645	-1.868392060	0.3294479308	2.288120356e-16
-90	5	1.89715222644554	-1.889932989	0.1653477114	2.314500386e-16
-90	-2.84217e-14	1.89709530261587	-1.897095303	-6.101523849e-16	2.323271690e-16
-90	-5	1.89705057384327	-1.889831724	-0.1653388518	2.314376371e-16
-90	-10	1.89702348976693	-1.868203440	-0.3294146720	2.287889363e-16
-90	-15	1.89701542517315	-1.832376192	-0.4909837209	2.244013638e-16
-90	-20	1.89702628649866	-1.782621603	-0.6488212024	2.183081840e-16
-90	-25	1.89705995031391	-1.719320205	-0.8017321786	2.105559986e-16
-90	-30	1.89711256795921	-1.642947678	-0.9485562840	2.012030615e-16
-90	-35	1.89717544316135	-1.554075143	-1.088175130	1.903193149e-16
-90	-40	1.89724195635286	-1.453371658	-1.219523622	1.779866949e-16
-90	-45	1.89730386944124	-1.341596432	-1.341596432	1.642981776e-16

-85	45	1.89690795938564	-1.338757127	1.338757127	0.1171260718
-85	40	1.89688856376149	-1.449848444	1.216567295	0.1268453027
-85	35	1.89685196687670	-1.549835217	1.085206302	0.1355930119
-85	30	1.89679823959311	-1.637980612	0.9456885474	0.1433047346
-85	25	1.89672758328917	-1.713640448	0.7990836640	0.1499241125
-85	20	1.89664069814889	-1.776266585	0.6465081649	0.1554031895
-85	15	1.89654480666973	-1.825415079	0.4891184964	0.1597031257
-85	10	1.89645264050114	-1.860747440	0.3280999780	0.1627943067
-85	5	1.89637267291846	-1.882021890	0.1646555799	0.1646555799
-85	-2.84217e-14	1.89631028464589	-1.889094252	-6.075790506e-16	0.1652743313
-85	-5	1.89627201273390	-1.881921992	-0.1646468399	0.1646468399
-85	-10	1.89626293326599	-1.860561305	-0.3280671573	0.1627780219
-85	-15	1.89628372220109	-1.825163787	-0.4890511627	0.1596811404
-85	-20	1.89633363763013	-1.775979012	-0.6464034971	0.1553780302
-85	-25	1.89641508010772	-1.713358110	-0.7989520077	0.1498994112
-85	-30	1.89652251538007	-1.637742511	-0.9455510793	0.1432839034
-85	-35	1.89664645491337	-1.549667303	-1.085088727	0.1355783212
-85	-40	1.89677823793983	-1.449764119	-1.216496537	0.1268379252
-85	-45	1.89690795643055	-1.338757125	-1.338757125	0.1171260716

-80	45	1.89571294065706	-1.330172185	1.330172185	0.2345452451
-80	40	1.89549015392581	-1.438962055	1.207432530	0.2537278345
-80	35	1.89525786309658	-1.536558851	1.075910091	0.2709367830
-80	30	1.89502275034260	-1.622331750	0.9366536725	0.2860608592
-80	25	1.89478978361933	-1.695746156	0.7907394190	0.2990057998
-80	20	1.89456641045356	-1.756363522	0.6392640426	0.3096942769
-80	15	1.89436121607475	-1.803836179	0.4833364474	0.3180649871
-80	10	1.89418877549109	-1.837907739	0.3240727225	0.3240727225
-80	5	1.89406008028590	-1.858399925	0.1625889258	0.3276860478
-80	-2.84217e-14	1.89398232446037	-1.865208477	-5.998967997e-16	0.3288865792
-80	-5	1.89396257257856	-1.858304254	-0.1625805556	0.3276691783
-80	-10	1.89400501480335	-1.837729439	-0.3240412833	0.3240412833
-80	-15	1.89410850337424	-1.803595542	-0.4832719690	0.3180225564
-80	-20	1.89427065469681	-1.756089341	-0.6391642488	0.3096459313
-80	-25	1.89449017646863	-1.695478022	-0.7906143861	0.2989585205
-80	-30	1.89475706530115	-1.622104297	-0.9365223523	0.2860207530
-80	-35	1.89505932519681	-1.536397889	-1.075797384	0.2709084010
-80	-40	1.89538287524545	-1.438880614	-1.207364193	0.2537134743
-80	-45	1.89571293697476	-1.330172182	-1.330172182	0.2345452447

-75	45	1.89370557865390	-1.315645494	1.315645494	0.3525261477
-75	40	1.89315347096370	-1.420621579	1.192043043	0.3806544049
-75	35	1.89260771946573	-1.514286139	1.060314570	0.4057517481
-75	30	1.89208472146812	-1.596181635	0.9215558968	0.4276955802
-75	25	1.89159799403372	-1.665950243	0.7768453563	0.4463900222
-75	20	1.89116149899327	-1.723322211	0.6272379888	0.4617627947
-75	15	1.89078812996129	-1.768100800	0.4737611814	0.4737611814
-75	10	1.89049395855560	-1.800153724	0.3174156710	0.4823497366
-75	5	1.89029234541359	-1.819397116	0.1591766221	0.4875059880
-75	-2.84217e-14	1.89019210096486	-1.825785367	-5.872173604e-16	0.4892177146
-75	-5	1.89020071517017	-1.819308922	-0.1591689062	0.4874823565
-75	-10	1.89032143138826	-1.799989442	-0.3173867035	0.4823057172
-75	-15	1.89055088893990	-1.767878953	-0.4737017377	0.4737017377
-75	-20	1.89088482161789	-1.723070088	-0.6271462237	0.4616952387
-75	-25	1.89131734600022	-1.665703073	-0.7767300992	0.4463237933
-75	-30	1.89183536862189	-1.595971279	-0.9214344474	0.4276392153
-75	-35	1.89242034066504	-1.514136216	-1.060209593	0.4057115764
-75	-40	1.89305134801277	-1.420544946	-1.191978741	0.3806338712
-75	-45	1.89370557465834	-1.315645492	-1.315645492	0.3525261470

-70	45	1.89086281764529	-1.294845989	1.294845989	0.4712853978
-70	40	1.88987216039518	-1.394535482	1.170154208	0.5075694059
-70	35	1.88891722066672	-1.482808680	1.038273815	0.5396982225
-70	30	1.88802313959294	-1.559440534	0.9003434122	0.5675899366
-70	25	1.88721457894338	-1.624305531	0.7574261085	0.5911988648
-70	20	1.88651016686565	-1.677346164	0.6105040764	0.6105040764
-70	15	1.88592833943050	-1.718553491	0.4604850199	0.6255023166
-70	10	1.88548553620642	-1.747945070	0.3082098767	0.6361999767
-70	5	1.88519635865387	-1.765548583	0.1544654859	0.6426071314
-70	-2.84217e-14	1.88507011316506	-1.771386475	-5.697213424e-16	0.6447319503
-70	-5	1.88511375507396	-1.765471222	-0.1544587177	0.6425789743
-70	-10	1.88533005350299	-1.747800930	-0.3081844608	0.6361475138
-70	-15	1.88571397618842	-1.718358152	-0.4604326791	0.6254312191
-70	-20	1.88625995560239	-1.677123695	-0.6104231041	0.6104231041
-70	-25	1.88696021420509	-1.624086602	-0.7573240202	0.5911191811
-70	-30	1.88779603263745	-1.559252952	-0.9002351115	0.5675216622
-70	-35	1.88874378922987	-1.482672535	-1.038178486	0.5396486699
-70	-40	1.88977717991692	-1.394465396	-1.170095399	0.5075438967
-70	-45	1.89086281771190	-1.294845989	-1.294845989	0.4712853979

-65	45	1.88715670218612	-1.267306749	1.267306749	0.5909548424
-65	40	1.88564241799074	-1.360302947	1.141429701	0.6343196816
-65	35	1.88421123206294	-1.441848230	1.009592999	0.6723448713
-65	30	1.88289537151143	-1.511999436	0.8729532813	0.7050569160
-65	25	1.88172763483037	-1.570898463	0.7325219833	0.7325219833
-65	20	1.88073118847315	-1.618725346	0.5891678435	0.7548240254
-65	15	1.87992414213412	-1.655668959	0.4436351604	0.7720511148
-65	10	1.87932339742245	-1.681904481	0.2965651390	0.7842849398
-65	5	1.87894269393127	-1.697572296	0.1485183314	0.7915909620
-65	-2.84217e-14	1.87879068868771	-1.702762631	-5.476502309e-16	0.7940112550
-65	-5	1.87887139851999	-1.697507883	-0.1485126960	0.7915609256
-65	-10	1.87918881929890	-1.681784040	-0.2965439020	0.7842287773
-65	-15	1.87973775371719	-1.655504804	-0.4435911754	0.7719745684
-65	-20	1.88051393194126	-1.618538356	-0.5890997845	0.7547368303
-65	-25	1.88150624312276	-1.570713641	-0.7324357996	0.7324357996
-65	-30	1.88269484091491	-1.511838406	-0.8728603107	0.7049818266
-65	-35	1.88405576258252	-1.441729260	-1.009509696	0.6722893950
-65	-40	1.88555668073885	-1.360241096	-1.141377802	0.6342908400
-65	-45	1.88715671064439	-1.267306755	-1.267306755	0.5909548450

-60	45	1.88255734875471	-1.232423079	1.232423079	0.7115397962
-60	40	1.88046893610586	-1.317424448	1.105450369	0.7606153598
-60	35	1.87853269683118	-1.391076831	0.9740424834	0.8031385829
-60	30	1.87678564568094	-1.453751910	0.8393240566	0.8393240566
-60	25	1.87525821674496	-1.505866661	0.7021971561	0.8694125220
-60	20	1.87397689072747	-1.547838828	0.5633672608	0.8936451640
-60	15	1.87295607737477	-1.580044519	0.4233716530	0.9122391286
-60	10	1.87220860346736	-1.602800525	0.2826169773	0.9253773148
-60	5	1.87174415727407	-1.616345153	0.1414118772	0.9331973092
-60	-2.84217e-14	1.87156833149513	-1.620825720	-5.212973103e-16	0.9357841657
-60	-5	1.87168557079943	-1.616294561	-0.1414074510	0.9331680996
-60	-10	1.87209758495369	-1.602705482	-0.2826002187	0.9253224416
-60	-15	1.87280205243266	-1.579914582	-0.4233368365	0.9121641095
-60	-20	1.87379718335093	-1.547690396	-0.5633132360	0.8935594668
-60	-25	1.87507350205046	-1.505718332	-0.7021279890	0.8693268840
-60	-30	1.87661405284381	-1.453618995	-0.8392473179	0.8392473179
-60	-35	1.87839864222773	-1.390977562	-0.9739729744	0.8030812699
-60	-40	1.88039414057751	-1.317372048	-1.105406399	0.7605851064
-60	-45	1.88255737071487	-1.232423093	-1.232423093	0.7115398045

-55	45	1.87704334068148	-1.189458478	1.189458478	0.8328677928
-55	40	1.87437510291444	-1.265320979	1.061730367	0.8859872878
-55	35	1.87194900599121	-1.330141025	0.9313747727	0.9313747727
-55	30	1.86980326553427	-1.384612579	0.7994064450	0.9695161651
-55	25	1.86796034393547	-1.429412620	0.6665460516	1.000885492
-55	20	1.86643585107752	-1.465160701	0.5332748837	1.025916568
-55	15	1.86523828971729	-1.492387704	0.3998840800	1.044981120
-55	10	1.86437253583390	-1.511518922	0.2665215678	1.058376943
-55	5	1.86384274575098	-1.522864819	0.1332334077	1.066321426
-55	-2.84217e-14	1.86365008320891	-1.526612775	-4.909961163e-16	1.068945773
-55	-5	1.86379727769197	-1.522827669	-0.1332301575	1.066295413
-55	-10	1.86428581018585	-1.511448610	-0.2665091699	1.058327711
-55	-15	1.86511711191982	-1.492290749	-0.3998581010	1.044913231
-55	-20	1.86629306770495	-1.465048616	-0.5332340879	1.025838085
-55	-25	1.86781043050389	-1.429297903	-0.6664925578	1.000805166
-55	-30	1.86966315733827	-1.384508827	-0.7993465439	0.9694435173
-55	-35	1.87183843271997	-1.330062456	-0.9313197577	0.9313197577
-55	-40	1.87431159013116	-1.265278104	-1.061694390	0.8859572664
-55	-45	1.87704329473302	-1.189458449	-1.189458449	0.8328677724

-50	45	1.87060825632834	-1.137555046	1.137555046	0.9545220192
-50	40	1.86740961166869	-1.203359646	1.009738635	1.009738635
-50	35	1.86456408810590	-1.258697928	0.8813497772	1.056172967
-50	30	1.86209563589209	-1.304552428	0.7531836952	1.094649461
-50	25	1.86001492640560	-1.341815268	0.6256987351	1.125916696
-50	20	1.85831993597060	-1.371253115	0.4990953175	1.150617983
-50	15	1.85700632428916	-1.393496775	0.3733863356	1.169282630
-50	10	1.85606776406604	-1.409034533	0.2484508049	1.182320357
-50	5	1.85549986638464	-1.418213829	0.1240776325	1.190022701
-50	-2.84217e-14	1.85529908168089	-1.421241552	-4.571061460e-16	1.192563262
-50	-5	1.85546606015049	-1.418187990	-0.1240753719	1.190001020
-50	-10	1.85600290811243	-1.408985298	-0.2484421234	1.182279044
-50	-15	1.85691565277468	-1.393428736	-0.3733681044	1.169225538
-50	-20	1.85821246816193	-1.371173815	-0.4990664545	1.150551442
-50	-25	1.85990016607604	-1.341732480	-0.6256601304	1.125847229
-50	-30	1.86198740059328	-1.304476600	-0.7531399160	1.094585834
-50	-35	1.86447649182078	-1.258638795	-0.8813083719	1.056123348
-50	-40	1.86735810698766	-1.203326456	-1.009710785	1.009710785
-50	-45	1.87060824591195	-1.137555039	-1.137555039	0.9545220139

-45	45	1.86328011361551	-1.075765275	1.075765275	1.075765275
-45	40	1.85966081890511	-1.130897686	0.9489358308	1.130897686
-45	35	1.85651943994600	-1.176452743	0.8237610793	1.176452743
-45	30	1.85385162873311	-1.213630774	0.7006900539	1.213630774
-45	25	1.85164268270317	-1.243457560	0.5798337830	1.243457560
-45	20	1.84987039960323	-1.266774747	0.4610683013	1.266774747
-45	15	1.84851418005439	-1.284248924	0.3441134621	1.284248924
-45	10	1.84755557277867	-1.296381419	0.2285870215	1.296381419
-45	5	1.84698124596385	-1.303520972	0.1140433077	1.303520972
-45	-2.84217e-14	1.84678244814817	-1.305872392	-4.200005944e-16	1.305872392
-45	-5	1.84695763745610	-1.303504310	-0.1140418500	1.303504310
-45	-10	1.84750999217705	-1.296349436	-0.2285813821	1.296349436
-45	-15	1.84845019170009	-1.284204469	-0.3441015503	1.284204469
-45	-20	1.84979351801289	-1.266722099	-0.4610491390	1.266722099
-45	-25	1.85155975832132	-1.243401873	-0.5798078156	1.243401873
-45	-30	1.85377242766035	-1.213578924	-0.7006601187	1.213578924
-45	-35	1.85645363290665	-1.176411042	-0.8237318799	1.176411042
-45	-40	1.85962141818021	-1.130873725	-0.9489157257	1.130873725
-45	-45	1.86328014627211	-1.075765294	-1.075765294	1.075765294


### -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	1.89730387155451	-1.341596434	-1.341596434	1.642981778e-16
-40	-90	1.89735328683334	-1.219595184	-1.453456942	1.779971392e-16
-35	-90	1.89738330512530	-1.088294355	-1.554245413	1.903401670e-16
-30	-90	1.89739163293615	-0.9486958165	-1.643189355	2.012326584e-16
-25	-90	1.89737673752792	-0.8018660587	-1.719607312	2.105911591e-16
-20	-90	1.89733700659258	-0.6489274749	-1.782913584	2.183439414e-16
-15	-90	1.89727908059269	-0.4910519599	-1.832630864	2.244325521e-16
-10	-90	1.89721501947172	-0.3294479308	-1.868392060	2.288120356e-16
-5	-90	1.89715222641188	-0.1653477114	-1.889932989	2.314500386e-16
-2.84217e-14	-90	1.89709530255463	-6.101523849e-16	-1.897095303	2.323271690e-16
5	-90	1.89705057375701	0.1653388518	-1.889831724	2.314376371e-16
10	-90	1.89702348965892	0.3294146720	-1.868203440	2.287889363e-16
15	-90	1.89701542504597	0.4909837209	-1.832376192	2.244013638e-16
20	-90	1.89702628635407	0.6488212024	-1.782621603	2.183081840e-16
25	-90	1.89705995015573	0.8017321786	-1.719320205	2.105559986e-16
30	-90	1.89711256779355	0.9485562839	-1.642947678	2.012030614e-16
35	-90	1.89717544299278	1.088175130	-1.554075143	1.903193149e-16
40	-90	1.89724195618600	1.219523622	-1.453371658	1.779866949e-16
45	-90	1.89730386928173	1.341596432	-1.341596432	1.642981776e-16

-45	-85	1.89690795954679	-1.338757127	-1.338757127	0.1171260718
-40	-85	1.89688856391005	-1.216567295	-1.449848444	0.1268453027
-35	-85	1.89685196700807	-1.085206302	-1.549835217	0.1355930119
-30	-85	1.89679823970131	-0.9456885475	-1.637980612	0.1433047347
-25	-85	1.89672758337071	-0.7990836641	-1.713640448	0.1499241125
-20	-85	1.89664069820299	-0.6465081649	-1.776266585	0.1554031895
-15	-85	1.89654480669486	-0.4891184964	-1.825415079	0.1597031257
-10	-85	1.89645264049681	-0.3280999780	-1.860747440	0.1627943067
-5	-85	1.89637267288505	-0.1646555799	-1.882021890	0.1646555799
-2.84217e-14	-85	1.89631028458473	-6.075790506e-16	-1.889094251	0.1652743313
5	-85	1.89627201264712	0.1646468399	-1.881921992	0.1646468399
10	-85	1.89626293315626	0.3280671572	-1.860561304	0.1627780219
15	-85	1.89628372207137	0.4890511627	-1.825163787	0.1596811404
20	-85	1.89633363748326	0.6464034971	-1.775979012	0.1553780302
25	-85	1.89641507994771	0.7989520076	-1.713358110	0.1498994111
30	-85	1.89652251521288	0.9455510792	-1.637742510	0.1432839034
35	-85	1.89664645474300	1.085088727	-1.549667302	0.1355783212
40	-85	1.89677823777085	1.216496537	-1.449764118	0.1268379252
45	-85	1.89690795626941	1.338757125	-1.338757125	0.1171260716

-45	-80	1.89571294082365	-1.330172185	-1.330172185	0.2345452452
-40	-80	1.89549015408035	-1.207432530	-1.438962055	0.2537278345
-35	-80	1.89525786323299	-1.075910091	-1.536558852	0.2709367830
-30	-80	1.89502275045500	-0.9366536726	-1.622331750	0.2860608592
-25	-80	1.89478978370525	-0.7907394191	-1.695746156	0.2990057998
-20	-80	1.89456641051172	-0.6392640427	-1.756363522	0.3096942769
-15	-80	1.89436121610133	-0.4833364474	-1.803836179	0.3180649871
-10	-80	1.89418877548720	-0.3240727225	-1.837907739	0.3240727225
-5	-80	1.89406008025333	-0.1625889258	-1.858399925	0.3276860478
-2.84217e-14	-80	1.89398232439919	-5.998967997e-16	-1.865208477	0.3288865792
5	-80	1.89396257249023	0.1625805556	-1.858304253	0.3276691783
10	-80	1.89400501469010	0.3240412833	-1.837729439	0.3240412833
15	-80	1.89410850323977	0.4832719690	-1.803595542	0.3180225564
20	-80	1.89427065454484	0.6391642488	-1.756089341	0.3096459313
25	-80	1.89449017630333	0.7906143860	-1.695478022	0.2989585205
30	-80	1.89475706512742	0.9365223522	-1.622104296	0.2860207530
35	-80	1.89505932501952	1.075797384	-1.536397889	0.2709084009
40	-80	1.89538287507002	1.207364193	-1.438880614	0.2537134743
45	-80	1.89571293680817	1.330172182	-1.330172182	0.2345452447

-45	-75	1.89370557883031	-1.315645495	-1.315645495	0.3525261478
-40	-75	1.89315347112902	-1.192043043	-1.420621579	0.3806544050
-35	-75	1.89260771961171	-1.060314570	-1.514286139	0.4057517482
-30	-75	1.89208472158912	-0.9215558969	-1.596181635	0.4276955802
-25	-75	1.89159799412691	-0.7768453564	-1.665950243	0.4463900222
-20	-75	1.89116149905690	-0.6272379888	-1.723322211	0.4617627947
-15	-75	1.89078812999174	-0.4737611815	-1.768100800	0.4737611815
-10	-75	1.89049395855440	-0.3174156710	-1.800153724	0.4823497366
-5	-75	1.89029234538246	-0.1591766221	-1.819397116	0.4875059879
-2.84217e-14	-75	1.89019210090352	-5.872173604e-16	-1.825785367	0.4892177146
5	-75	1.89020071508031	0.1591689062	-1.819308922	0.4874823565
10	-75	1.89032143127184	0.3173867035	-1.799989441	0.4823057172
15	-75	1.89055088880017	0.4737017376	-1.767878952	0.4737017376
20	-75	1.89088482145852	0.6271462237	-1.723070088	0.4616952386
25	-75	1.89131734582566	0.7767300991	-1.665703073	0.4463237932
30	-75	1.89183536843655	0.9214344473	-1.595971279	0.4276392152
35	-75	1.89242034047539	1.060209593	-1.514136216	0.4057115764
40	-75	1.89305134782612	1.191978740	-1.420544946	0.3806338711
45	-75	1.89370557448194	1.315645491	-1.315645491	0.3525261470

-45	-70	1.89086281783622	-1.294845989	-1.294845989	0.4712853979
-40	-70	1.88987216057626	-1.170154208	-1.394535482	0.5075694060
-35	-70	1.88891722082828	-1.038273815	-1.482808680	0.5396982225
-30	-70	1.88802313972770	-0.9003434123	-1.559440534	0.5675899366
-25	-70	1.88721457904734	-0.7574261085	-1.624305532	0.5911988648
-20	-70	1.88651016693656	-0.6105040764	-1.677346164	0.6105040764
-15	-70	1.88592833946717	-0.4604850200	-1.718553491	0.6255023166
-10	-70	1.88548553620982	-0.3082098767	-1.747945070	0.6361999767
-5	-70	1.88519635862469	-0.1544654859	-1.765548583	0.6426071314
-2.84217e-14	-70	1.88507011310403	-5.697213423e-16	-1.771386475	0.6447319503
5	-70	1.88511375498291	0.1544587177	-1.765471222	0.6425789743
10	-70	1.88533005338357	0.3081844608	-1.747800929	0.6361475138
15	-70	1.88571397604290	0.4604326791	-1.718358152	0.6254312190
20	-70	1.88625995543371	0.6104231041	-1.677123695	0.6104231041
25	-70	1.88696021401734	0.7573240201	-1.624086602	0.5911191811
30	-70	1.88779603243629	0.9002351114	-1.559252952	0.5675216621
35	-70	1.88874378902297	1.038178486	-1.482672535	0.5396486699
40	-70	1.88977717971342	1.170095399	-1.394465395	0.5075438967
45	-70	1.89086281752095	1.294845989	-1.294845989	0.4712853978

-45	-65	1.88715670239810	-1.267306749	-1.267306749	0.5909548424
-40	-65	1.88564241819474	-1.141429701	-1.360302947	0.6343196817
-35	-65	1.88421123224634	-1.009592999	-1.441848230	0.6723448714
-30	-65	1.88289537166475	-0.8729532814	-1.511999436	0.7050569161
-25	-65	1.88172763494893	-0.7325219833	-1.570898463	0.7325219833
-20	-65	1.88073118855435	-0.5891678435	-1.618725346	0.7548240254
-15	-65	1.87992414217793	-0.4436351604	-1.655668959	0.7720511148
-10	-65	1.87932339743060	-0.2965651390	-1.681904481	0.7842849398
-5	-65	1.87894269390467	-0.1485183314	-1.697572296	0.7915909620
-2.84217e-14	-65	1.87879068862734	-5.476502309e-16	-1.702762631	0.7940112550
5	-65	1.87887139842763	0.1485126960	-1.697507883	0.7915609255
10	-65	1.87918881917543	0.2965439020	-1.681784040	0.7842287772
15	-65	1.87973775356452	0.4435911754	-1.655504804	0.7719745684
20	-65	1.88051393176185	0.5890997845	-1.618538356	0.7547368302
25	-65	1.88150624291857	0.7324357995	-1.570713641	0.7324357995
30	-65	1.88269484069252	0.8728603106	-1.511838406	0.7049818266
35	-65	1.88405576235137	1.009509696	-1.441729260	0.6722893949
40	-65	1.88555668051101	1.141377802	-1.360241096	0.6342908400
45	-65	1.88715671043239	1.267306755	-1.267306755	0.5909548449

-45	-60	1.88255734899744	-1.232423079	-1.232423079	0.7115397963
-40	-60	1.88046893634333	-1.105450369	-1.317424448	0.7606153599
-35	-60	1.87853269704475	-0.9740424835	-1.391076831	0.8031385830
-30	-60	1.87678564585829	-0.8393240567	-1.453751910	0.8393240567
-25	-60	1.87525821688122	-0.7021971561	-1.505866661	0.8694125220
-20	-60	1.87397689082147	-0.5633672608	-1.547838828	0.8936451640
-15	-60	1.87295607742751	-0.4233716530	-1.580044519	0.9122391287
-10	-60	1.87220860348062	-0.2826169773	-1.602800525	0.9253773148
-5	-60	1.87174415724984	-0.1414118772	-1.616345153	0.9331973091
-2.84217e-14	-60	1.87156833143520	-5.212973103e-16	-1.620825720	0.9357841657
5	-60	1.87168557070538	0.1414074510	-1.616294560	0.9331680996
10	-60	1.87209758482606	0.2826002186	-1.602705482	0.9253224416
15	-60	1.87280205227203	0.4233368364	-1.579914582	0.9121641094
20	-60	1.87379718315826	0.5633132359	-1.547690396	0.8935594667
25	-60	1.87507350182701	0.7021279889	-1.505718331	0.8693268839
30	-60	1.87661405259464	0.8392473178	-1.453618995	0.8392473178
35	-60	1.87839864196313	0.9739729743	-1.390977562	0.8030812698
40	-60	1.88039414031442	1.105406399	-1.317372048	0.7605851063
45	-60	1.88255737047208	1.232423093	-1.232423093	0.7115398044

-45	-55	1.87704334097105	-1.189458478	-1.189458478	0.8328677929
-40	-55	1.87437510320159	-1.061730367	-1.265320979	0.8859872880
-35	-55	1.87194900624628	-0.9313747728	-1.330141025	0.9313747728
-30	-55	1.86980326574188	-0.7994064451	-1.384612579	0.9695161652
-25	-55	1.86796034409175	-0.6665460516	-1.429412621	1.000885492
-20	-55	1.86643585118477	-0.5332748837	-1.465160701	1.025916568
-15	-55	1.86523828977890	-0.3998840800	-1.492387704	1.044981120
-10	-55	1.86437253585280	-0.2665215678	-1.511518922	1.058376943
-5	-55	1.86384274573015	-0.1332334077	-1.522864819	1.066321426
-2.84217e-14	-55	1.86365008315061	-4.909961163e-16	-1.526612775	1.068945773
5	-55	1.86379727759758	0.1332301575	-1.522827669	1.066295413
10	-55	1.86428581005556	0.2665091699	-1.511448610	1.058327710
15	-55	1.86511711175262	0.3998581010	-1.492290749	1.044913231
20	-55	1.86629306749957	0.5332340878	-1.465048616	1.025838084
25	-55	1.86781043025979	0.6664925577	-1.429297903	1.000805166
30	-55	1.86966315705718	0.7993465437	-1.384508827	0.9694435171
35	-55	1.87183843241055	0.9313197576	-1.330062455	0.9313197576
40	-55	1.87431158981565	1.061694390	-1.265278104	0.8859572662
45	-55	1.87704329444321	1.189458449	-1.189458449	0.8328677723

-45	-50	1.87060825669599	-1.137555046	-1.137555046	0.9545220194
-40	-50	1.86740961203062	-1.009738635	-1.203359646	1.009738635
-35	-50	1.86456408841138	-0.8813497774	-1.258697928	1.056172967
-30	-50	1.86209563612914	-0.7531836953	-1.304552428	1.094649461
-25	-50	1.86001492657878	-0.6256987352	-1.341815268	1.125916696
-20	-50	1.85831993608801	-0.4990953175	-1.371253115	1.150617983
-15	-50	1.85700632435735	-0.3733863357	-1.393496776	1.169282630
-10	-50	1.85606776408958	-0.2484508049	-1.409034533	1.182320357
-5	-50	1.85549986636730	-0.1240776325	-1.418213829	1.190022701
-2.84217e-14	-50	1.85529908162555	-4.571061460e-16	-1.421241552	1.192563262
5	-50	1.85546606005840	0.1240753719	-1.418187990	1.190001020
10	-50	1.85600290798291	0.2484421234	-1.408985298	1.182279044
15	-50	1.85691565260556	0.3733681044	-1.393428735	1.169225538
20	-50	1.85821246794999	0.4990664545	-1.371173814	1.150551442
25	-50	1.85990016581689	0.6256601303	-1.341732479	1.125847229
30	-50	1.86198740028231	0.7531399159	-1.304476600	1.094585834
35	-50	1.86447649145858	0.8813083717	-1.258638794	1.056123348
40	-50	1.86735810659446	1.009710785	-1.203326456	1.009710785
45	-50	1.87060824554371	1.137555039	-1.137555039	0.9545220137

-45	-45	1.86328011413455	-1.075765275	-1.075765275	1.075765275
-40	-45	1.85966081936153	-0.9489358311	-1.130897686	1.130897686
-35	-45	1.85651944029105	-0.8237610795	-1.176452744	1.176452744
-30	-45	1.85385162898460	-0.7006900540	-1.213630774	1.213630774
-25	-45	1.85164268288180	-0.5798337830	-1.243457560	1.243457560
-20	-45	1.84987039972310	-0.4610683013	-1.266774747	1.266774747
-15	-45	1.84851418012452	-0.3441134622	-1.284248924	1.284248924
-10	-45	1.84755557280486	-0.2285870215	-1.296381419	1.296381419
-5	-45	1.84698124595027	-0.1140433077	-1.303520972	1.303520972
-2.84217e-14	-45	1.84678244809763	-4.200005944e-16	-1.305872392	1.305872392
5	-45	1.84695763736937	0.1140418500	-1.303504310	1.303504310
10	-45	1.84750999205324	0.2285813821	-1.296349436	1.296349436
15	-45	1.84845019153657	0.3441015502	-1.284204468	1.284204468
20	-45	1.84979351780510	0.4610491390	-1.266722099	1.266722099
25	-45	1.85155975806189	0.5798078155	-1.243401873	1.243401873
30	-45	1.85377242733772	0.7006601186	-1.213578924	1.213578924
35	-45	1.85645363250475	0.8237318797	-1.176411042	1.176411042
40	-45	1.85962141769018	0.9489157254	-1.130873725	1.130873725
45	-45	1.86328014575264	1.075765294	-1.075765294	1.075765294