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# N_patches = 3

### +z patch
# N_rho = 16
# N_sigma = 16
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
0	0	1.22434505728570	0.000000000	0.000000000	1.224345057
3	0	1.22184168803663	0.06394625312	0.000000000	1.220167196
6	0	1.21432348228994	0.1269313675	0.000000000	1.207671291
9	0	1.20179402101496	0.1880020048	0.000000000	1.186997942
12	0	1.18425333993047	0.2462201143	0.000000000	1.158374563
15	0	1.16171303218058	0.3006734577	0.000000000	1.122128621
18	0	1.13418887557176	0.3504836374	0.000000000	1.078677721
21	0	1.10171138429666	0.3948180498	0.000000000	1.028536184
24	0	1.06434413722772	0.4329077615	0.000000000	0.9723267519
27	0	1.02220360748781	0.4640707266	0.000000000	0.9107900833
30	0	0.975491661904590	0.4877458310	0.000000000	0.8448005604
33	0	0.924585793030811	0.5035655141	0.000000000	0.7754228922
36	0	0.870229188944371	0.5115078834	0.000000000	0.7040302029
39	0	0.813528546648087	0.5119701031	0.000000000	0.6322304246
42	0	0.756204391570742	0.5059995031	0.000000000	0.5619693806
45	0	0.700501613819756	0.4953294414	0.000000000	0.4953294414

0	3	1.22184168803663	0.000000000	0.06394625312	1.220167196
3	3	1.21934691070504	0.06372846844	0.06372846844	1.216011617
6	3	1.21185105816062	0.1265012209	0.06307688789	1.203578720
9	3	1.19936462539847	0.1873711140	0.06199917091	1.183014655
12	3	1.18188867789602	0.2454062397	0.06050717017	1.154545585
15	3	1.15942909453709	0.2996985746	0.05861759315	1.118490307
18	3	1.13200018272639	0.3493735888	0.05635205911	1.075261342
21	3	1.09963303171722	0.3936024060	0.05373732920	1.025369324
24	3	1.06238891928317	0.4316181091	0.05080568108	0.9694301452
27	3	1.02038689547205	0.4627417304	0.04759579035	0.9081817814
30	3	0.973823964658294	0.4864112531	0.04415297776	0.8424890038
33	3	0.923087225453498	0.5022644190	0.04053319223	0.7734193814
36	3	0.868909945634231	0.5102740088	0.03680765625	0.7023319201
39	3	0.812405623540509	0.5108399070	0.03306064827	0.6308347486
42	3	0.755290066336149	0.5050048406	0.02939367320	0.5608646960
45	3	0.699793654029332	0.4944894166	0.02591509220	0.4944894166

0	6	1.21432348228994	0.000000000	0.1269313675	1.207671291
3	6	1.21185105816062	0.06307688789	0.1265012209	1.203578720
6	6	1.20444162473823	0.1252162218	0.1252162218	1.191352770
9	6	1.19208719132408	0.1854867455	0.1230893798	1.171117220
12	6	1.17479874874992	0.2429737293	0.1201448114	1.143101523
15	6	1.15257666350160	0.2967832549	0.1164145216	1.107610186
18	6	1.12543121329885	0.3460527859	0.1119403158	1.065040962
21	6	1.09339454843339	0.3899647355	0.1067746430	1.015892868
24	6	1.05652116680546	0.4277585666	0.1009800997	0.9607614710
27	6	1.01492906181649	0.4587608649	0.09463258395	0.9003688930
30	6	0.968819517393975	0.4824154328	0.08782173986	0.8355680400
33	6	0.918590981364100	0.4983680823	0.08065904482	0.7674195490
36	6	0.864953666648242	0.5065789512	0.07328351915	0.6972461097
39	6	0.809038725027373	0.5074545532	0.06586400887	0.6266541848
42	6	0.752548056097982	0.5020238900	0.05860128836	0.5575540150
45	6	0.697669964705354	0.4919703472	0.05170816712	0.4919703472

0	9	1.20179402101496	0.000000000	0.1880020048	1.186997942
3	9	1.19936462539847	0.06199917091	0.1873711140	1.183014655
6	9	1.19208719132408	0.1230893798	0.1854867455	1.171117220
9	9	1.17995889437486	0.1823682908	0.1823682908	1.151428072
12	9	1.16297982437374	0.2389465960	0.1780487159	1.124155350
15	9	1.14115091326554	0.2919547197	0.1725740782	1.089589848
18	9	1.11448027708783	0.3405514324	0.1660042424	1.048109537
21	9	1.08299173327348	0.3839350538	0.1584137431	1.000185010
24	9	1.04673672190447	0.4213583329	0.1498928661	0.9463863106
27	9	1.00582567448099	0.4521550952	0.1405510397	0.8874043400
30	9	0.960478651509850	0.4757844248	0.1305218926	0.8240827972
33	9	0.911092539721947	0.4918959235	0.1199688168	0.7574532985
36	9	0.858361628149940	0.5004407247	0.1090948170	0.6887975658
39	9	0.803431807487141	0.5018288029	0.09815194031	0.6197069618
42	9	0.747980930564869	0.4970656290	0.08743570396	0.5520473083
45	9	0.694131276853610	0.4877754269	0.07725603799	0.4877754269

0	12	1.18425333993047	0.000000000	0.2462201143	1.158374563
3	12	1.18188867789602	0.06050717017	0.2454062397	1.154545585
6	12	1.17479874874992	0.1201448114	0.2429737293	1.143101523
9	12	1.16297982437374	0.1780487159	0.2389465960	1.124155350
12	12	1.14643050693592	0.2333657832	0.2333657832	1.097899690
15	12	1.12514669302019	0.2852590774	0.2262880068	1.064601370
18	12	1.09913327025323	0.3329164965	0.2177879231	1.024611620
21	12	1.06840579716427	0.3755594197	0.2079580572	0.9783657374
24	12	1.03301600931751	0.4124613019	0.1969130899	0.9264032518
27	12	0.993068342903473	0.4429693025	0.1847916173	0.8693762068
30	12	0.948789022069712	0.4665556920	0.1717665670	0.8080981631
33	12	0.900575897623005	0.4828762788	0.1580494632	0.7435642635
36	12	0.849131339448718	0.4918870952	0.1439060009	0.6770245048
39	12	0.795588008805009	0.4939854501	0.1296640147	0.6100212276
42	12	0.741592666917889	0.4901451085	0.1157075644	0.5443612916
45	12	0.689179705889981	0.4819108239	0.1024333078	0.4819108239

0	15	1.16171303218058	0.000000000	0.3006734577	1.122128621
3	15	1.15942909453709	0.05861759315	0.2996985746	1.118490307
6	15	1.15257666350160	0.1164145216	0.2967832549	1.107610186
9	15	1.14115091326554	0.1725740782	0.2919547197	1.089589848
12	15	1.12514669302019	0.2262880068	0.2852590774	1.064601370
15	15	1.10455740694683	0.2767610045	0.2767610045	1.032886130
18	15	1.07937572819608	0.3232155758	0.2665438677	0.9947552567
21	15	1.04962052770371	0.3649063822	0.2547161534	0.9506136258
24	15	1.01533560577617	0.4011313069	0.2414103433	0.9009556666
27	15	0.976631481835130	0.4312610258	0.2267915051	0.8463974198
30	15	0.933727274582611	0.4547797813	0.2110640311	0.7877016876
33	15	0.887034799291904	0.4713586512	0.1944852066	0.7258286723
36	15	0.837255997358961	0.4809560084	0.1773767799	0.6619791545
39	15	0.785510409547171	0.4839563855	0.1601361812	0.5976363643
42	15	0.733390237446808	0.4812849443	0.1432244924	0.5345210824
45	15	0.682823237427179	0.4743891162	0.1271121806	0.4743891162

0	18	1.13418887557176	0.000000000	0.3504836374	1.078677721
3	18	1.13200018272639	0.05635205911	0.3493735888	1.075261342
6	18	1.12543121329885	0.1119403158	0.3460527859	1.065040962
9	18	1.11448027708782	0.1660042424	0.3405514324	1.048109537
12	18	1.09913327025323	0.2177879231	0.3329164965	1.024611620
15	18	1.07937572819608	0.2665438677	0.3232155758	0.9947552567
18	18	1.05520032148318	0.3115392516	0.3115392516	0.9588192259
21	18	1.02662655464944	0.3520687538	0.2980067474	0.9171704606
24	18	0.993690858905274	0.3874616397	0.2827623701	0.8702530913
27	18	0.956505292646127	0.4171160194	0.2659910519	0.8186362816
30	18	0.915296445093381	0.4405395613	0.2479257187	0.7630369030
33	18	0.870476245570908	0.4574163453	0.2288602436	0.7043594040
36	18	0.822750802780890	0.4677116422	0.2091670052	0.6437498483
39	18	0.773217708170263	0.4717930067	0.1893033626	0.5826158425
42	18	0.723396066621111	0.4705240231	0.1697932430	0.5225698686
45	18	0.675076165137598	0.4652299258	0.1511623662	0.4652299258

0	21	1.10171138429666	0.000000000	0.3948180498	1.028536184
3	21	1.09963303171721	0.05373732920	0.3936024060	1.025369324
6	21	1.09339454843339	0.1067746430	0.3899647355	1.015892868
9	21	1.08299173327348	0.1584137431	0.3839350538	1.000185010
12	21	1.06840579716427	0.2079580572	0.3755594197	0.9783657374
15	21	1.04962052770371	0.2547161534	0.3649063822	0.9506136258
18	21	1.02662655464943	0.2980067474	0.3520687538	0.9171704606
21	21	0.999432764978227	0.3371676487	0.3371676487	0.8783517547
24	21	0.968089316582774	0.3715726794	0.3203598347	0.8345659022
27	21	0.932704105043533	0.4006523485	0.3018416986	0.7863245082
30	21	0.893508442860279	0.4239422544	0.2818673396	0.7342895241
33	21	0.850925211714192	0.4411496698	0.2607630309	0.6793109203
36	21	0.805653872030733	0.4522454223	0.2389409373	0.6224624229
39	21	0.758754956867200	0.4575732526	0.2169046411	0.5650559085
42	21	0.711647605511572	0.4579175834	0.1952213480	0.5085689988
45	21	0.665962533579463	0.4544626715	0.1744518748	0.4544626715

0	24	1.06434413722772	0.000000000	0.4329077615	0.9723267519
3	24	1.06238891928317	0.05080568108	0.4316181091	0.9694301452
6	24	1.05652116680546	0.1009800997	0.4277585666	0.9607614710
9	24	1.04673672190447	0.1498928661	0.4213583329	0.9463863106
12	24	1.03301600931751	0.1969130899	0.4124613019	0.9264032518
15	24	1.01533560577617	0.2414103433	0.4011313069	0.9009556666
18	24	0.993690858905273	0.2827623701	0.3874616397	0.8702530913
21	24	0.968089316582774	0.3203598347	0.3715726794	0.8345659022
24	24	0.938580577494280	0.3536233150	0.3536233150	0.7942509696
27	24	0.905280437057296	0.3820263994	0.3338186772	0.7497690248
30	24	0.868430419158290	0.4051418630	0.3124286740	0.7017262910
33	24	0.828458084654247	0.4227035717	0.2898022097	0.6509064201
36	24	0.786046834510529	0.4346877636	0.2663787102	0.5982963789
39	24	0.742196486213736	0.4414034526	0.2426887551	0.5450878685
42	24	0.698205795782545	0.4435429405	0.2193215830	0.4926043406
45	24	0.655521317291451	0.4421304173	0.1968491444	0.4421304173

0	27	1.02220360748781	0.000000000	0.4640707266	0.9107900833
3	27	1.02038689547205	0.04759579035	0.4627417304	0.9081817814
6	27	1.01492906181649	0.09463258395	0.4587608649	0.9003688930
9	27	1.00582567448099	0.1405510397	0.4521550952	0.8874043400
12	27	0.993068342903474	0.1847916173	0.4429693025	0.8693762068
15	27	0.976631481835130	0.2267915051	0.4312610258	0.8463974198
18	27	0.956505292646127	0.2659910519	0.4171160194	0.8186362816
21	27	0.932704105043534	0.3018416986	0.4006523485	0.7863245082
24	27	0.905280437057298	0.3338186772	0.3820263994	0.7497690248
27	27	0.874363245837474	0.3614478719	0.3614478719	0.7093813907
30	27	0.840202106474698	0.3843457936	0.3391943742	0.6657064422
33	27	0.803218740665901	0.4022745848	0.3156247952	0.6194485390
36	27	0.764066047744504	0.4152133600	0.2911898006	0.5714921618
39	27	0.723664760684026	0.4234291045	0.2664264742	0.5228913971
42	27	0.683165203389400	0.4275057475	0.2419192356	0.4747932333
45	27	0.643811625574147	0.4282934931	0.2182264346	0.4282934931

0	30	0.975491661904590	0.000000000	0.4877458310	0.8448005604
3	30	0.973823964658294	0.04415297776	0.4864112531	0.8424890038
6	30	0.968819517393975	0.08782173986	0.4824154328	0.8355680400
9	30	0.960478651509851	0.1305218926	0.4757844248	0.8240827972
12	30	0.948789022069713	0.1717665670	0.4665556920	0.8080981631
15	30	0.933727274582613	0.2110640311	0.4547797813	0.7877016876
18	30	0.915296445093382	0.2479257187	0.4405395613	0.7630369030
21	30	0.893508442860282	0.2818673396	0.4239422544	0.7342895241
24	30	0.868430419158294	0.3124286740	0.4051418630	0.7017262910
27	30	0.840202106474700	0.3391943742	0.3843457936	0.6657064422
30	30	0.809071976266100	0.3618279875	0.3618279875	0.6267044580
33	30	0.775448655394167	0.3801228577	0.3379449771	0.5853378705
36	30	0.739934333850606	0.3940560541	0.3131384057	0.5423716286
39	30	0.703344862343787	0.4038415684	0.2879261984	0.4987028045
42	30	0.666660610604412	0.4099432000	0.2628606772	0.4552880483
45	30	0.630916357888667	0.4130317096	0.2384639687	0.4130317096

0	33	0.924585793030811	0.000000000	0.5035655141	0.7754228922
3	33	0.923087225453498	0.04053319223	0.5022644190	0.7734193814
6	33	0.918590981364101	0.08065904482	0.4983680823	0.7674195490
9	33	0.911092539721948	0.1199688168	0.4918959235	0.7574532985
12	33	0.900575897623007	0.1580494632	0.4828762788	0.7435642635
15	33	0.887034799291907	0.1944852066	0.4713586512	0.7258286723
18	33	0.870476245570912	0.2288602436	0.4574163453	0.7043594040
21	33	0.850925211714195	0.2607630309	0.4411496698	0.6793109203
24	33	0.828458084654249	0.2898022097	0.4227035717	0.6509064201
27	33	0.803218740665903	0.3156247952	0.4022745848	0.6194485390
30	33	0.775448655394168	0.3379449771	0.3801228577	0.5853378705
33	33	0.745525833344240	0.3565850634	0.3565850634	0.5490928458
36	33	0.713978768132008	0.3715131738	0.3320706865	0.5113440156
39	33	0.681495501265034	0.3828809288	0.3070519698	0.4728185703
42	33	0.648876324733829	0.3910279036	0.2820250435	0.4342804834
45	33	0.616949659249107	0.3964485629	0.2574567071	0.3964485629

0	36	0.870229188944371	0.000000000	0.5115078834	0.7040302029
3	36	0.868909945634231	0.03680765625	0.5102740088	0.7023319201
6	36	0.864953666648243	0.07328351915	0.5065789512	0.6972461097
9	36	0.858361628149942	0.1090948170	0.5004407247	0.6887975658
12	36	0.849131339448720	0.1439060009	0.4918870952	0.6770245048
15	36	0.837255997358964	0.1773767799	0.4809560084	0.6619791545
18	36	0.822750802780892	0.2091670052	0.4677116422	0.6437498483
21	36	0.805653872030735	0.2389409373	0.4522454223	0.6224624229
24	36	0.786046834510531	0.2663787102	0.4346877636	0.5982963789
27	36	0.764066047744505	0.2911898006	0.4152133600	0.5714921618
30	36	0.739934333850607	0.3131384057	0.3940560541	0.5423716286
33	36	0.713978768132008	0.3320706865	0.3715131738	0.5113440156
36	36	0.686635377428608	0.3479400178	0.3479400178	0.4788983499
39	36	0.658448780817340	0.3608305080	0.3237390449	0.4455885684
42	36	0.630042287174093	0.3709624525	0.2993322828	0.4119955423
45	36	0.602051154764435	0.3786661964	0.2751170956	0.3786661964

0	39	0.813528546648089	0.000000000	0.5119701031	0.6322304246
3	39	0.812405623540511	0.03306064827	0.5108399070	0.6308347486
6	39	0.809038725027375	0.06586400887	0.5074545532	0.6266541848
9	39	0.803431807487143	0.09815194031	0.5018288029	0.6197069618
12	39	0.795588008805011	0.1296640147	0.4939854501	0.6100212276
15	39	0.785510409547173	0.1601361812	0.4839563855	0.5976363643
18	39	0.773217708170265	0.1893033626	0.4717930067	0.5826158425
21	39	0.758754956867201	0.2169046411	0.4575732526	0.5650559085
24	39	0.742196486213737	0.2426887551	0.4414034526	0.5450878685
27	39	0.723664760684027	0.2664264742	0.4234291045	0.5228913971
30	39	0.703344862343788	0.2879261984	0.4038415684	0.4987028045
33	39	0.681495501265035	0.3070519698	0.3828809288	0.4728185703
36	39	0.658448780817341	0.3237390449	0.3608305080	0.4455885684
39	39	0.634609117830143	0.3380092101	0.3380092101	0.4174066125
42	39	0.610434865927842	0.3499759316	0.3147530524	0.3886876495
45	39	0.586393019321898	0.3598281880	0.2913831213	0.3598281880

0	42	0.756204391570745	0.000000000	0.5059995031	0.5619693806
3	42	0.755290066336152	0.02939367320	0.5050048406	0.5608646960
6	42	0.752548056097985	0.05860128836	0.5020238900	0.5575540150
9	42	0.747980930564871	0.08743570396	0.4970656290	0.5520473083
12	42	0.741592666917891	0.1157075644	0.4901451085	0.5443612916
15	42	0.733390237446810	0.1432244924	0.4812849443	0.5345210824
18	42	0.723396066621113	0.1697932430	0.4705240231	0.5225698686
21	42	0.711647605511574	0.1952213480	0.4579175834	0.5085689988
24	42	0.698205795782547	0.2193215830	0.4435429405	0.4926043406
27	42	0.683165203389402	0.2419192356	0.4275057475	0.4747932333
30	42	0.666660610604414	0.2628606772	0.4099432000	0.4552880483
33	42	0.648876324733830	0.2820250435	0.3910279036	0.4342804834
36	42	0.630042287174093	0.2993322828	0.3709624525	0.4119955423
39	42	0.610434865927842	0.3147530524	0.3499759316	0.3886876495
42	42	0.590369958816004	0.3283148246	0.3283148246	0.3646305530
45	42	0.570178413663516	0.3400959063	0.3062237295	0.3400959063

0	45	0.700501613819759	0.000000000	0.4953294414	0.4953294414
3	45	0.699793654029335	0.02591509220	0.4944894166	0.4944894166
6	45	0.697669964705356	0.05170816712	0.4919703472	0.4919703472
9	45	0.694131276853611	0.07725603799	0.4877754269	0.4877754269
12	45	0.689179705889981	0.1024333078	0.4819108239	0.4819108239
15	45	0.682823237427180	0.1271121806	0.4743891162	0.4743891162
18	45	0.675076165137599	0.1511623662	0.4652299258	0.4652299258
21	45	0.665962533579464	0.1744518748	0.4544626715	0.4544626715
24	45	0.655521317291452	0.1968491444	0.4421304173	0.4421304173
27	45	0.643811625574148	0.2182264346	0.4282934931	0.4282934931
30	45	0.630916357888668	0.2384639687	0.4130317096	0.4130317096
33	45	0.616949659249108	0.2574567071	0.3964485629	0.3964485629
36	45	0.602051154764436	0.2751170956	0.3786661964	0.3786661964
39	45	0.586393019321899	0.2913831213	0.3598281880	0.3598281880
42	45	0.570178413663516	0.3062237295	0.3400959063	0.3400959063
45	45	0.553629098161638	0.3196379089	0.3196379089	0.3196379089


### +x patch
# N_rho = 16
# N_sigma = 16
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	0	0.700501573892636	0.4953294131	0.000000000	0.4953294131
45	3	0.699793607040380	0.4944893834	0.02591509046	0.4944893834
45	6	0.697669905333027	0.4919703054	0.05170816272	0.4919703054
45	9	0.694131234736288	0.4877753973	0.07725603330	0.4877753973
45	12	0.689179786120619	0.4819108800	0.1024333197	0.4819108800
45	15	0.682823547375189	0.4743893315	0.1271122383	0.4743893315
45	18	0.675076774364173	0.4652303457	0.1511625026	0.4652303457
45	21	0.665963600713394	0.4544633997	0.1744521544	0.4544633997
45	24	0.655522891956940	0.4421314793	0.1968496173	0.4421314793
45	27	0.643813592177258	0.4282948014	0.2182271012	0.4282948014
45	30	0.630918665815068	0.4130332205	0.2384648410	0.4130332205
45	33	0.616951448771788	0.3964497128	0.2574574538	0.3964497128
45	36	0.602052289795389	0.3786669103	0.2751176143	0.3786669103
45	39	0.586393518220490	0.3598284941	0.2913833692	0.3598284941
45	42	0.570177944681224	0.3400956265	0.3062234776	0.3400956265
45	45	0.553628219818583	0.3196374017	0.3196374017	0.3196374017

48	0	0.648682164994829	0.4820647943	0.000000000	0.4340530904
48	3	0.648041611919193	0.4812239402	0.02521987804	0.4332959819
48	6	0.646122753709669	0.4787047586	0.05031389757	0.4310277006
48	9	0.642934255657334	0.4745176123	0.07515620645	0.4272575772
48	12	0.638491560470985	0.4686805925	0.09962113526	0.4220019010
48	15	0.632818476013296	0.4612207792	0.1235837353	0.4152850549
48	18	0.625949141418193	0.4521757522	0.1469208080	0.4071408760
48	21	0.617929779744230	0.4415948666	0.1695123874	0.3976138038
48	24	0.608821508333853	0.4295411460	0.1912440397	0.3867605851
48	27	0.598702753964946	0.4160926449	0.2120097919	0.3746515002
48	30	0.587670531808385	0.4013427000	0.2317153159	0.3613705902
48	33	0.575839806345995	0.3853985419	0.2502807395	0.3470144058
48	36	0.563344629167615	0.3683807908	0.2676443110	0.3316915539
48	39	0.550336424908197	0.3504206318	0.2837650326	0.3155201541
48	42	0.536979404732761	0.3316549129	0.2986234249	0.2986234249
48	45	0.523445427983350	0.3122209522	0.3122209522	0.2811250080

51	0	0.602431323657928	0.4681770702	0.000000000	0.3791223162
51	3	0.601879396230576	0.4673606714	0.02449333491	0.3784612094
51	6	0.600227765240902	0.4649162386	0.04886466572	0.3764817468
51	9	0.597489072830544	0.4608582017	0.07299276835	0.3731956133
51	12	0.593684922566801	0.4552109902	0.09675808292	0.3686225916
51	15	0.588846591510040	0.4480095131	0.1200437872	0.3627909504
51	18	0.583016299997014	0.4392999917	0.1427372199	0.3557381191
51	21	0.576247598707956	0.4291400109	0.1647314162	0.3475107288
51	24	0.568605769946931	0.4175984566	0.1859268118	0.3381645625
51	27	0.560169841982778	0.4047564663	0.2062337204	0.3277653237
51	30	0.551029947643022	0.3907047524	0.2255734940	0.3163864702
51	33	0.541289276148836	0.3755441103	0.2438811968	0.3041096243
51	36	0.531061295513474	0.3593823077	0.2611065304	0.2910220546
51	39	0.520469377505433	0.3423325535	0.2772154359	0.2772154359
51	42	0.509641283451826	0.3245084506	0.2921887213	0.2627817619
51	45	0.498708875287714	0.3060225907	0.3060225907	0.2478122077

54	0	0.562473860329581	0.4550509119	0.000000000	0.3306138399
54	3	0.562016136137199	0.4542724756	0.02380741163	0.3300482728
54	6	0.560647340693318	0.4519423320	0.04750105319	0.3283553244
54	9	0.558380682852799	0.4480760119	0.07096826837	0.3255462784
54	12	0.555238432792162	0.4426995066	0.09409868497	0.3216400187
54	15	0.551252260278924	0.4358493774	0.1167854887	0.3166631085
54	18	0.546463396145045	0.4275726346	0.1389267706	0.3106497029
54	21	0.540921969996712	0.4179258758	0.1604267130	0.3036409223
54	24	0.534688044242766	0.4069756491	0.1811972332	0.2956851169
54	27	0.527830352048513	0.3947969025	0.2011590692	0.2868367396
54	30	0.520426363741162	0.3814723571	0.2202431681	0.2771558907
54	33	0.512561337171869	0.3670909894	0.2383916759	0.2667072154
54	36	0.504327650086611	0.3517466291	0.2555588851	0.2555588851
54	39	0.495821282289001	0.3355345196	0.2717104965	0.2437800981
54	42	0.487142274045481	0.3185507536	0.2868243869	0.2314406698
54	45	0.478392169132391	0.3008896199	0.3008896199	0.2186091051

57	0	0.528684489391254	0.4433921210	0.000000000	0.2879422101
57	3	0.528315416669279	0.4426552242	0.02319857729	0.2874636638
57	6	0.527212212750633	0.4404495218	0.04629311017	0.2860312639
57	9	0.525386914816531	0.4367899354	0.06918072946	0.2836547007
57	12	0.522859560497830	0.4317011870	0.09176091999	0.2803500289
57	15	0.519657532605149	0.4252170684	0.1139365701	0.2761391930
57	18	0.515816308589604	0.4173807953	0.1356152412	0.2710502578
57	21	0.511379214336073	0.4082444379	0.1567103572	0.2651170378
57	24	0.506396263534163	0.3978675387	0.1771420412	0.2583782007
57	27	0.500923870268480	0.3863163841	0.1968380293	0.2508767932
57	30	0.495025367677701	0.3736638042	0.2157348980	0.2426601118
57	33	0.488768548348914	0.3599866043	0.2337780343	0.2337780343
57	36	0.482226155047761	0.3453652539	0.2509225447	0.2242828183
57	39	0.475472993046988	0.3298810636	0.2671324182	0.2142272676
57	42	0.468586839907563	0.3136161878	0.2823812839	0.2036647337
57	45	0.461646287167504	0.2966514437	0.2966514437	0.1926477001

60	0	0.500457891615230	0.4334092477	0.000000000	0.2502289458
60	3	0.500166825988412	0.4327117285	0.02267746076	0.2498262329
60	6	0.499296896083216	0.4306235799	0.04526036205	0.2486206398
60	9	0.497857891272670	0.4271579832	0.06765517809	0.2466197766
60	12	0.495866079122617	0.4223367454	0.08977044647	0.2438362337
60	15	0.493344152466411	0.4161900718	0.1115177936	0.2402874500
60	18	0.490321217183989	0.4087562942	0.1328129710	0.2359955565
60	21	0.486831737726635	0.4000806572	0.1535765754	0.2309866751
60	24	0.482915296492069	0.3902147511	0.1737348006	0.2252905916
60	27	0.478617253609710	0.3792166035	0.1932205104	0.2189408081
60	30	0.473986741965631	0.3671485516	0.2119733151	0.2119733151
60	33	0.469077374246294	0.3540772809	0.2299404748	0.2044266134
60	36	0.463944792629351	0.3400713837	0.2470763228	0.1963403049
60	39	0.458647578482160	0.3252015418	0.2633430162	0.1877551977
60	42	0.453245695499171	0.3095388340	0.2787100180	0.1787123291
60	45	0.447799611675029	0.2931536595	0.2931536595	0.1692523442

63	0	0.477033489125452	0.4250399511	0.000000000	0.2165686721
63	3	0.476808342990502	0.4243769224	0.02224065208	0.2162308421
63	6	0.476135472367384	0.4223916570	0.04439515209	0.2152192989
63	9	0.475022587658617	0.4190955914	0.06637822068	0.2135398696
63	12	0.473482559324168	0.4145076966	0.08810633078	0.2112022204
63	15	0.471533345915305	0.4086542516	0.1094985767	0.2082197412
63	18	0.469197153537311	0.4015678910	0.1304773172	0.2046090602
63	21	0.466500472378797	0.3932873808	0.1509688809	0.2003899295
63	24	0.463474415277201	0.3838575829	0.1709044070	0.1955852075
63	27	0.460153712853726	0.3733282275	0.1902202329	0.1902202329
63	30	0.456576145465264	0.3617530580	0.2088582254	0.1843223895
63	33	0.452782929208726	0.3491897160	0.2267664531	0.1779210470
63	36	0.448816333664515	0.3356974407	0.2438984672	0.1710463894
63	39	0.444721542440947	0.3213381130	0.2602144732	0.1637299465
63	42	0.440544292171516	0.3061740379	0.2756803420	0.1560034643
63	45	0.436330785208809	0.2902675701	0.2902675701	0.1478987141

66	0	0.457682978348042	0.4181142059	0.000000000	0.1861564382
66	3	0.457512538077978	0.4174803014	0.02187921549	0.1858742057
66	6	0.457003175503360	0.4155818709	0.04367941473	0.1850289700
66	9	0.456160795764075	0.4124287641	0.06532229898	0.1836251164
66	12	0.454995296121076	0.4080373567	0.08673101758	0.1816699359
66	15	0.453519787537029	0.4024297190	0.1078307182	0.1791732547
66	18	0.451750940904478	0.3956337620	0.1285492018	0.1761474997
66	21	0.449708994095293	0.3876830226	0.1488175694	0.1726076025
66	24	0.447417646903256	0.3786162940	0.1685708348	0.1685708348
66	27	0.444902490307721	0.3684759911	0.1877478950	0.1640560811
66	30	0.442192384504359	0.3573090198	0.2062924588	0.1590842252
66	33	0.439317832218930	0.3451650757	0.2241528210	0.1536773928
66	36	0.436310914150214	0.3320962932	0.2412820804	0.1478587960
66	39	0.433205559194414	0.3181571178	0.2576385540	0.1416526753
66	42	0.430036245670266	0.3034029831	0.2731852730	0.1350837113
66	45	0.426837740789079	0.2878898725	0.2878898725	0.1281768294

69	0	0.441784417463879	0.4124412849	0.000000000	0.1583213758
69	3	0.441658857990293	0.4118314305	0.02158317071	0.1580872747
69	6	0.441283587803696	0.4100046504	0.04309322524	0.1573860395
69	9	0.440662833929855	0.4069692755	0.06445760093	0.1562208682
69	12	0.439803612060496	0.4027390963	0.08560483756	0.1545970546
69	15	0.438715576672181	0.3973331257	0.1064650902	0.1525218969
69	18	0.437411066929058	0.3907755044	0.1269706582	0.1500046619
69	21	0.435905141645822	0.3830953511	0.1470565273	0.1470565273
69	24	0.434214725993382	0.3743257965	0.1666605823	0.1436902107
69	27	0.432358673259954	0.3645038328	0.1857239792	0.1399199120
69	30	0.430358339594560	0.3536705477	0.2041917859	0.1357614035
69	33	0.428235672656501	0.3418692558	0.2220124906	0.1312313120
69	36	0.426014527011755	0.3291463542	0.2391388242	0.1263474476
69	39	0.423719692852456	0.3155502496	0.2555275538	0.1211283921
69	42	0.421376602059528	0.3011308898	0.2711394710	0.1155933184
69	45	0.419010798422736	0.2859391591	0.2859391591	0.1097617594

72	0	0.428834552499524	0.4078458956	0.000000000	0.1325171645
72	3	0.428745262937905	0.4072554175	0.02134335203	0.1323253065
72	6	0.428478371805574	0.4054863700	0.04261833483	0.1317505082
72	9	0.428036818222611	0.4025459046	0.06375700781	0.1307950931
72	12	0.427425516387487	0.3984459053	0.08469229165	0.1294629225
72	15	0.426651338041063	0.3932028952	0.1053583982	0.1277593653
72	18	0.425723129061541	0.3868379423	0.1256912667	0.1256912667
72	21	0.424651550048457	0.3793763720	0.1456289450	0.1232668556
72	24	0.423448215109898	0.3708468433	0.1651116525	0.1204954437
72	27	0.422126680122404	0.3612820739	0.1840824111	0.1173876617
72	30	0.420702041668737	0.3507182669	0.2024872858	0.1139552728
72	33	0.419189637925548	0.3391938207	0.2202750427	0.1102107532
72	36	0.417606640710228	0.3267504701	0.2373981126	0.1061676635
72	39	0.415970489842114	0.3134317733	0.2538120455	0.1018401566
72	42	0.414299335320855	0.2992832823	0.2694758778	0.09724303317
72	45	0.412611282797462	0.2843517908	0.2843517908	0.09239149750

75	0	0.418437638254947	0.4041797215	0.000000000	0.1082996300
75	3	0.418377261415120	0.4036045963	0.02115202060	0.1081455256
75	6	0.418196782482328	0.4018813071	0.04223942745	0.1076837717
75	9	0.417898170147035	0.3990161145	0.06319794398	0.1069160457
75	12	0.417484749090673	0.3950194572	0.08396397761	0.1058451445
75	15	0.416961212109449	0.3899059027	0.1044749718	0.1044749718
75	18	0.416333644438870	0.3836940840	0.1246697652	0.1028105200
75	21	0.415608915720374	0.3764060324	0.1444887384	0.1008576924
75	24	0.414794828975846	0.3680672179	0.1638740835	0.09862331379
75	27	0.413900709231109	0.3587069420	0.1827703159	0.09611523543
75	30	0.412936515024914	0.3483573829	0.2011242288	0.09334207943
75	33	0.411912576556968	0.3370532462	0.2188849374	0.09031314511
75	36	0.410840648349832	0.3248324836	0.2360046138	0.08703860166
75	39	0.409732339957515	0.3117348198	0.2524378797	0.08352909322
75	42	0.408599988654336	0.2978023118	0.2681424060	0.07979588896
75	45	0.407455811387552	0.2830785358	0.2830785358	0.07585066506

78	0	0.410290523644686	0.4013246913	0.000000000	0.08530419650
78	3	0.410252675185128	0.4007614453	0.02100301737	0.08518447485
78	6	0.410139537322469	0.3990735691	0.04194432230	0.08482570570
78	9	0.409952350348375	0.3962666576	0.06276247279	0.08422907825
78	12	0.409693235242370	0.3923500581	0.08339657933	0.08339657933
78	15	0.409365204331668	0.3873368336	0.1037865918	0.08233098557
78	18	0.408972126982276	0.3812436627	0.1238735751	0.08103584210
78	21	0.408517995435026	0.3740900797	0.1435997275	0.07951530110
78	24	0.408007732783571	0.3658991603	0.1629088021	0.07777426744
78	27	0.407447368463424	0.3566975528	0.1817464809	0.07581840537
78	30	0.406842892106406	0.3465143315	0.2000601426	0.07365389488
78	33	0.406200794551346	0.3353813881	0.2177992201	0.07128751470
78	36	0.405528498269505	0.3233336446	0.2349156435	0.06872668777
78	39	0.404833207520658	0.3104079593	0.2513634092	0.06597924854
78	42	0.404122658277296	0.2966436186	0.2670991139	0.06305354760
78	45	0.403404524915868	0.2820817347	0.2820817347	0.05995832365

81	0	0.404166314534005	0.3991903565	0.000000000	0.06322554120
81	3	0.404145329116718	0.3986359418	0.02089162445	0.06313773053
81	6	0.404082602606889	0.3969743973	0.04172369045	0.06287456774
81	9	0.403978844217176	0.3942108357	0.06243686258	0.06243686258
81	12	0.403835296510203	0.3903538132	0.08297226436	0.06182597023
81	15	0.403653743549415	0.3854152994	0.1032717182	0.06104378649
81	18	0.403436214733470	0.3794103430	0.1232778934	0.06009269483
81	21	0.403184779569770	0.3723568339	0.1429343967	0.05897552873
81	24	0.402902198997737	0.3642760569	0.1621861499	0.05769565939
81	27	0.402592024215093	0.3551926726	0.1809797062	0.05625699266
81	30	0.402257315960636	0.3451334745	0.1992629044	0.05466377219
81	33	0.401901691534435	0.3341282566	0.2169854269	0.05292071692
81	36	0.401529322285206	0.3222096733	0.2340990306	0.05103299877
81	39	0.401144144344992	0.3094124686	0.2505572768	0.04900612067
81	42	0.400750441212355	0.2957738538	0.2663159741	0.04684597629
81	45	0.400352491644661	0.2813331052	0.2813331052	0.04455878641

84	0	0.399901163637130	0.3977104632	0.000000000	0.04180105409
84	3	0.399891887322596	0.3971621451	0.02081438604	0.04174342353
84	6	0.399864166706862	0.3955187806	0.04157069897	0.04157069897
84	9	0.399818347660284	0.3927851547	0.06221105690	0.04128338331
84	12	0.399755067851981	0.3889692828	0.08267797335	0.04088231901
84	15	0.399675255422516	0.3840823765	0.1029145626	0.04036868446
84	18	0.399579647414802	0.3781383412	0.1228645950	0.03974394118
84	21	0.399469025482338	0.3711539760	0.1424726628	0.03900985481
84	24	0.399344658924557	0.3631493376	0.1616845022	0.03816853342
84	27	0.399208373461597	0.3541477082	0.1804472702	0.03722242405
84	30	0.399061222033990	0.3441743247	0.1987091390	0.03617417919
84	33	0.398904824305161	0.3332575287	0.2164199696	0.03502677770
84	36	0.398741098843147	0.3214284079	0.2335314080	0.03378348700
84	39	0.398571717579040	0.3087202467	0.2499967265	0.03244780544
84	42	0.398398568439505	0.2951688196	0.2657711989	0.03102349306
84	45	0.398223569937239	0.2808121288	0.2808121288	0.02951454405

87	0	0.397384531899282	0.3968399302	0.000000000	0.02079749947
87	3	0.397382151413580	0.3962951875	0.02076895072	0.02076895072
87	6	0.397375047342388	0.3946624855	0.04148069873	0.02068338443
87	9	0.397363352840445	0.3919464187	0.06207821416	0.02054104140
87	12	0.397347349907258	0.3881546858	0.08250482540	0.02034232510
87	15	0.397327461167200	0.3832980527	0.1027044037	0.02008779974
87	18	0.397303667408706	0.3773897578	0.1226213655	0.01977815913
87	21	0.397275999711360	0.3704459682	0.1422008841	0.01941425054
87	24	0.397244853328120	0.3624860245	0.1613891761	0.01899708757
87	27	0.397211035041126	0.3535323974	0.1801337537	0.01852784785
87	30	0.397174427567741	0.3436094201	0.1983829912	0.01800780665
87	33	0.397135473478614	0.3327445812	0.2160868576	0.01743840457
87	36	0.397094767020905	0.3209680492	0.2331969379	0.01682122268
87	39	0.397052647477390	0.3083122517	0.2496663386	0.01615796044
87	42	0.397009593102032	0.2948121188	0.2654500241	0.01545044845
87	45	0.396966130826685	0.2805049021	0.2805049021	0.01470063900

90	0	0.396552608160811	0.3965526082	0.000000000	0.000000000
90	3	0.396552505141228	0.3960090437	0.02075395456	0.000000000
90	6	0.396552210106074	0.3943798556	0.04145099313	0.000000000
90	9	0.396551786089416	0.3916695756	0.06203436652	0.000000000
90	12	0.396551397644431	0.3878857982	0.08244767158	0.000000000
90	15	0.396551300323345	0.3830391424	0.1026350289	0.000000000
90	18	0.396551226478817	0.3771426280	0.1225410681	0.000000000
90	21	0.396550960727014	0.3702122150	0.1421111547	0.000000000
90	24	0.396550613050791	0.3622670113	0.1612916652	0.000000000
90	27	0.396550640943165	0.3533292083	0.1800302237	0.000000000
90	30	0.396550555216790	0.3434228547	0.1982752776	0.000000000
90	33	0.396550406676766	0.3325751548	0.2159768308	0.000000000
90	36	0.396550351995014	0.3208159739	0.2330864487	0.000000000
90	39	0.396550290336979	0.3081774566	0.2495571838	0.000000000
90	42	0.396550234576501	0.2946942549	0.2653438989	0.000000000
90	45	0.396550251665935	0.2804033720	0.2804033720	0.000000000


### +y patch
# N_rho = 16
# N_sigma = 16
# ghosted_gfn=-1
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	0.553628219818583	0.3196374017	0.3196374017	0.3196374017
42	45	0.570177944681224	0.3062234776	0.3400956265	0.3400956265
39	45	0.586393518220491	0.2913833692	0.3598284941	0.3598284941
36	45	0.602052289795390	0.2751176143	0.3786669103	0.3786669103
33	45	0.616951448771789	0.2574574538	0.3964497128	0.3964497128
30	45	0.630918665815070	0.2384648410	0.4130332205	0.4130332205
27	45	0.643813592177259	0.2182271012	0.4282948014	0.4282948014
24	45	0.655522891956941	0.1968496173	0.4421314793	0.4421314793
21	45	0.665963600713396	0.1744521544	0.4544633997	0.4544633997
18	45	0.675076774364175	0.1511625026	0.4652303457	0.4652303457
15	45	0.682823547375191	0.1271122383	0.4743893315	0.4743893315
12	45	0.689179786120622	0.1024333197	0.4819108800	0.4819108800
9	45	0.694131234736291	0.07725603330	0.4877753973	0.4877753973
6	45	0.697669905333030	0.05170816272	0.4919703054	0.4919703054
3	45	0.699793607040383	0.02591509046	0.4944893834	0.4944893834
0	45	0.700501573892639	0.000000000	0.4953294131	0.4953294131

45	48	0.523445427983350	0.3122209522	0.3122209522	0.2811250080
42	48	0.536979404732761	0.2986234249	0.3316549129	0.2986234249
39	48	0.550336424908197	0.2837650326	0.3504206318	0.3155201541
36	48	0.563344629167615	0.2676443110	0.3683807908	0.3316915539
33	48	0.575839806345996	0.2502807395	0.3853985419	0.3470144058
30	48	0.587670531808386	0.2317153159	0.4013427000	0.3613705902
27	48	0.598702753964947	0.2120097919	0.4160926449	0.3746515002
24	48	0.608821508333855	0.1912440397	0.4295411460	0.3867605851
21	48	0.617929779744232	0.1695123874	0.4415948666	0.3976138038
18	48	0.625949141418195	0.1469208080	0.4521757522	0.4071408760
15	48	0.632818476013298	0.1235837353	0.4612207792	0.4152850549
12	48	0.638491560470987	0.09962113526	0.4686805925	0.4220019010
9	48	0.642934255657337	0.07515620645	0.4745176123	0.4272575772
6	48	0.646122753709672	0.05031389757	0.4787047586	0.4310277006
3	48	0.648041611919196	0.02521987804	0.4812239402	0.4332959819
0	48	0.648682164994832	0.000000000	0.4820647943	0.4340530904

45	51	0.498708875287714	0.3060225907	0.3060225907	0.2478122077
42	51	0.509641283451826	0.2921887213	0.3245084506	0.2627817619
39	51	0.520469377505433	0.2772154359	0.3423325535	0.2772154359
36	51	0.531061295513474	0.2611065304	0.3593823077	0.2910220546
33	51	0.541289276148836	0.2438811968	0.3755441103	0.3041096243
30	51	0.551029947643022	0.2255734940	0.3907047524	0.3163864702
27	51	0.560169841982779	0.2062337204	0.4047564663	0.3277653237
24	51	0.568605769946933	0.1859268118	0.4175984566	0.3381645625
21	51	0.576247598707958	0.1647314162	0.4291400109	0.3475107288
18	51	0.583016299997015	0.1427372199	0.4392999917	0.3557381191
15	51	0.588846591510042	0.1200437872	0.4480095131	0.3627909504
12	51	0.593684922566804	0.09675808292	0.4552109902	0.3686225916
9	51	0.597489072830546	0.07299276835	0.4608582017	0.3731956133
6	51	0.600227765240905	0.04886466572	0.4649162386	0.3764817468
3	51	0.601879396230579	0.02449333491	0.4673606714	0.3784612094
0	51	0.602431323657931	0.000000000	0.4681770702	0.3791223162

45	54	0.478392169132391	0.3008896199	0.3008896199	0.2186091051
42	54	0.487142274045481	0.2868243869	0.3185507536	0.2314406698
39	54	0.495821282289001	0.2717104965	0.3355345196	0.2437800981
36	54	0.504327650086611	0.2555588851	0.3517466291	0.2555588851
33	54	0.512561337171869	0.2383916759	0.3670909894	0.2667072154
30	54	0.520426363741163	0.2202431681	0.3814723571	0.2771558907
27	54	0.527830352048514	0.2011590692	0.3947969025	0.2868367396
24	54	0.534688044242767	0.1811972332	0.4069756491	0.2956851169
21	54	0.540921969996714	0.1604267130	0.4179258758	0.3036409223
18	54	0.546463396145046	0.1389267706	0.4275726346	0.3106497029
15	54	0.551252260278926	0.1167854887	0.4358493774	0.3166631085
12	54	0.555238432792165	0.09409868497	0.4426995066	0.3216400187
9	54	0.558380682852801	0.07096826837	0.4480760119	0.3255462784
6	54	0.560647340693321	0.04750105319	0.4519423320	0.3283553244
3	54	0.562016136137201	0.02380741163	0.4542724756	0.3300482728
0	54	0.562473860329584	0.000000000	0.4550509119	0.3306138399

45	57	0.461646287167504	0.2966514437	0.2966514437	0.1926477001
42	57	0.468586839907563	0.2823812839	0.3136161878	0.2036647337
39	57	0.475472993046988	0.2671324182	0.3298810636	0.2142272676
36	57	0.482226155047761	0.2509225447	0.3453652539	0.2242828183
33	57	0.488768548348913	0.2337780343	0.3599866043	0.2337780343
30	57	0.495025367677701	0.2157348980	0.3736638042	0.2426601118
27	57	0.500923870268481	0.1968380293	0.3863163841	0.2508767932
24	57	0.506396263534164	0.1771420412	0.3978675387	0.2583782007
21	57	0.511379214336074	0.1567103572	0.4082444379	0.2651170378
18	57	0.515816308589606	0.1356152412	0.4173807953	0.2710502578
15	57	0.519657532605151	0.1139365701	0.4252170684	0.2761391930
12	57	0.522859560497832	0.09176091999	0.4317011870	0.2803500289
9	57	0.525386914816533	0.06918072946	0.4367899354	0.2836547007
6	57	0.527212212750636	0.04629311017	0.4404495218	0.2860312639
3	57	0.528315416669281	0.02319857729	0.4426552242	0.2874636638
0	57	0.528684489391257	0.000000000	0.4433921210	0.2879422101

45	60	0.447799611675029	0.2931536595	0.2931536595	0.1692523442
42	60	0.453245695499171	0.2787100180	0.3095388340	0.1787123291
39	60	0.458647578482161	0.2633430162	0.3252015418	0.1877551977
36	60	0.463944792629351	0.2470763228	0.3400713837	0.1963403049
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