path: root/test/Kerr-definition-mean-curvature/h.t0.ah1.gp

# N_patches = 5
# origin = 0.5 0.7 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	2.59894701352409	-1.000502758	-0.8005027579	1.500502758
-40	-45	2.57851979158886	-0.8157505906	-0.8680504933	1.568050493
-35	-45	2.55446544725727	-0.6334485213	-0.9187322464	1.618732246
-30	-45	2.52758826002201	-0.4553385647	-0.9546949325	1.654694932
-25	-45	2.49847228306946	-0.2823856347	-0.9778314081	1.677831408
-20	-45	2.46752129508272	-0.1150138151	-0.9897365696	1.689736570
-15	-45	2.43499579262398	0.04670900470	-0.9917050251	1.691705025
-10	-45	2.40104546445615	0.2029329784	-0.9847507986	1.684750799
-5	-45	2.36573151931906	0.3539260493	-0.9696328971	1.669632897
0	-45	2.32904465709365	0.5000000000	-0.9468832707	1.646883271
5	-45	2.29091989450067	0.6414546482	-0.9168340276	1.616834028
10	-45	2.25125164163448	0.7785339261	-0.8796443913	1.579644391
15	-45	2.20989745591181	0.9113874120	-0.8353187231	1.535318723
20	-45	2.16668839081247	1.040033148	-0.7837288805	1.483728881
25	-45	2.12144175543298	1.164320179	-0.7246392213	1.424639221
30	-45	2.07397179715100	1.283887657	-0.6577332499	1.357733250
35	-45	2.02410891273135	1.398122641	-0.5826520596	1.282652060
40	-45	1.97172085963340	1.506117112	-0.4990436826	1.199043683
45	-45	1.91675246092189	1.606637549	-0.4066375493	1.106637549

-45	-40	2.55297120841059	-1.052513879	-0.6027138229	1.552513879
-40	-40	2.53129710321845	-0.8687133585	-0.6687133585	1.631169062
-35	-40	2.50582277110383	-0.6844625536	-0.7194107284	1.691587835
-30	-40	2.47731624637024	-0.5020292023	-0.7563123618	1.735565489
-25	-40	2.44636691510149	-0.3229443015	-0.7808512102	1.764809750
-20	-40	2.41340929775147	-0.1481775589	-0.7943132691	1.780853207
-15	-40	2.37874927137257	0.02170735111	-0.7978033023	1.785012467
-10	-40	2.34258895828653	0.1864241039	-0.7922357186	1.778377279
-5	-40	2.30504721665678	0.3458610498	-0.7783393763	1.761816263
0	-40	2.26617687567042	0.5000000000	-0.7566704170	1.735992203
5	-40	2.22598026117950	0.6488517277	-0.7276298755	1.701383033
10	-40	2.18442563737595	0.7924043607	-0.6914852408	1.658307535
15	-40	2.14145491719689	0.9305801192	-0.6483885357	1.606946882
20	-40	2.09699468748990	1.063197009	-0.5983984895	1.547371064
25	-40	2.05097126228416	1.189935391	-0.5415076647	1.479571220
30	-40	2.00332245550319	1.310307366	-0.4776709013	1.403493528
35	-40	1.95401885230243	1.423633621	-0.4068441689	1.319085515
40	-40	1.90307995774468	1.529026169	-0.3290261689	1.226345634
45	-40	1.85060344976234	1.625389715	-0.2443140944	1.125389715

-45	-35	2.50540177149663	-1.087641219	-0.4116783498	1.587641219
-40	-35	2.48190233762984	-0.9058611190	-0.4731557453	1.675440039
-35	-35	2.45458843842646	-0.7212628344	-0.5212628344	1.744144083
-30	-35	2.42418253009658	-0.5364230153	-0.5569686840	1.795137321
-25	-35	2.39126697775173	-0.3532780514	-0.5812822464	1.829860686
-20	-35	2.35629488588866	-0.1732365757	-0.5951754868	1.849702290
-15	-35	2.31960827946640	0.002704599202	-0.5995373682	1.855931702
-10	-35	2.28145661528867	0.1738541347	-0.5951494579	1.849665117
-5	-35	2.24201395889523	0.3397337111	-0.5826766244	1.831852064
0	-35	2.20139483514074	0.5000000000	-0.5626682045	1.803277079
5	-35	2.15966929025981	0.6543800301	-0.5355664888	1.764571818
10	-35	2.11687901045946	0.8026186569	-0.5017211655	1.716235687
15	-35	2.07304449801546	0.9444351676	-0.4614024726	1.658654626
20	-35	2.02818010802138	1.079488178	-0.4148219072	1.592130685
25	-35	1.98230594088950	1.207348099	-0.3621538425	1.516912893
30	-35	1.93545785975685	1.327476086	-0.3035588858	1.433230622
35	-35	1.88770592140102	1.439214513	-0.2392145127	1.341337334
40	-35	1.83916677687943	1.541786787	-0.1693448723	1.241553147
45	-35	1.79002015220296	1.634312991	-0.09425450703	1.134312991

-45	-30	2.45694965323995	-1.108451109	-0.2286396809	1.608451109
-40	-30	2.43112592161981	-0.9291589691	-0.2833460591	1.703205336
-35	-30	2.40159727381766	-0.7452579488	-0.3267670265	1.778412657
-30	-30	2.36904525360384	-0.5594692458	-0.3594692458	1.835054563
-25	-30	2.33404153902765	-0.3739902144	-0.3821149443	1.874278063
-20	-30	2.29705283608551	-0.1905551347	-0.3953977973	1.897284639
-15	-30	2.25845219877341	-0.01051097895	-0.3999982812	1.905252911
-10	-30	2.21853211483891	0.1651041774	-0.3965547789	1.899288590
-5	-30	2.17751788789579	0.3354866550	-0.3856472161	1.880396137
0	-30	2.13558155727783	0.5000000000	-0.3677907786	1.849467880
5	-30	2.09285547093634	0.6581170267	-0.3434369924	1.807285885
10	-30	2.04944685752789	0.8093717628	-0.3129809394	1.754534454
15	-30	2.00544411325929	0.9533198613	-0.2767685492	1.691812754
20	-30	1.96093055940361	1.089507845	-0.2351108437	1.619659492
25	-30	1.91599642041558	1.217451722	-0.1882996833	1.538580184
30	-30	1.87074352486550	1.336621938	-0.1366219380	1.449071703
35	-30	1.82530028288952	1.446440817	-0.08037985982	1.351657566
40	-30	1.77982891058345	1.546288236	-0.01990830649	1.246917764
45	-30	1.73453479160570	1.635519568	0.04440747157	1.135519568

-45	-25	2.40806944565186	-1.117122021	-0.05407638274	1.617122021
-40	-25	2.37952573873558	-0.9403904615	-0.1004592994	1.716590507
-35	-25	2.34748474400958	-0.7578229675	-0.1376551956	1.796357364
-30	-25	2.31259644654055	-0.5721725099	-0.1659600227	1.857057262
-25	-25	2.27542493124872	-0.3857811049	-0.1857811049	1.899563709
-20	-25	2.23644969444248	-0.2006021124	-0.1975902411	1.924888484
-15	-25	2.19607188762742	-0.01824149832	-0.2018873214	1.934103602
-10	-25	2.15462231885144	0.1599915329	-0.1991735206	1.928283838
-5	-25	2.11237181676433	0.3330305982	-0.1899337079	1.908468995
0	-25	2.06954219829907	0.5000000000	-0.1746263264	1.875642210
5	-25	2.02631786798606	0.6601673908	-0.1536795272	1.830721654
10	-25	1.98285841869069	0.8129034010	-0.1274924889	1.774563369
15	-25	1.93930315065430	0.9576477556	-0.09643700820	1.707964676
20	-25	1.89578192708873	1.093882718	-0.06086457979	1.631679357
25	-25	1.85242745968595	1.221115964	-0.02111596362	1.546438174
30	-25	1.80937532701988	1.338867710	0.02247292795	1.452961495
35	-25	1.76677596704183	1.446669151	0.06955966508	1.351983661
40	-25	1.72479695147145	1.544065646	0.1197878439	1.244268984
45	-25	1.68362940103827	1.630629428	0.1727788391	1.130629428

-45	-20	2.35902481381258	-1.115439147	0.1120282352	1.615439147
-40	-20	2.32747645993521	-0.9411061401	0.07490171617	1.717443420
-35	-20	2.29271890845240	-0.7602299254	0.04492824464	1.799794856
-30	-20	2.25538150462922	-0.5755259494	0.02197237509	1.862865589
-25	-20	2.21602625442858	-0.3893933742	0.005795842938	1.907310246
-20	-20	2.17514599024980	-0.2039111250	-0.003911124951	1.933979921
-15	-20	2.13316652528786	-0.02085289213	-0.007503342128	1.943849457
-10	-20	2.09045107265864	0.1582855424	-0.005359387925	1.937958991
-5	-20	2.04730744145345	0.3322517772	0.002134042454	1.917370960
0	-20	2.00399626503538	0.5000000000	0.01459291021	1.883140502
5	-20	1.96074017652083	0.6606552457	0.03164223747	1.836297861
10	-20	1.91773421931348	0.8134813903	0.05291868208	1.777841310
15	-20	1.87514855632972	0.9578529323	0.07807299390	1.708730406
20	-20	1.83313708311071	1.093231715	0.1067682849	1.629890742
25	-20	1.79184798910435	1.219151105	0.1386761798	1.542224521
30	-20	1.75142264512511	1.335202603	0.1734758027	1.446613343
35	-20	1.71200516322135	1.441031249	0.2108487903	1.343931903
40	-20	1.67374238705454	1.536332901	0.2504773038	1.235053457
45	-20	1.63678803490592	1.620857844	0.2920411079	1.120857844

-45	-15	2.30994082478923	-1.104823513	0.2699888358	1.604823513
-40	-15	2.27521275521231	-0.9326104980	0.2425253310	1.707318708
-35	-15	2.23763326011618	-0.7536116825	0.2202790321	1.790343026
-30	-15	2.19782193919585	-0.5704677995	0.2031941653	1.854104617
-25	-15	2.15634325383384	-0.3855714844	0.1911338900	1.899114177
-20	-15	2.11370217502603	-0.2010476376	0.1838996966	1.926112554
-15	-15	2.07034397485227	-0.01875119797	0.1812488020	1.936005827
-10	-15	2.02665563037583	0.1597226593	0.1829093184	1.929808696
-5	-15	1.98297033166434	0.3330192047	0.1885923794	1.908599223
0	-15	1.93957334630121	0.5000000000	0.1980014786	1.873483987
5	-15	1.89670926232428	0.6597169741	0.2108390906	1.825573367
10	-15	1.85458997024355	0.8113873584	0.2268109799	1.765965465
15	-15	1.81339619760433	0.9543696416	0.2456303584	1.695730588
20	-15	1.77328550262659	1.088142278	0.2670188559	1.615907628
25	-15	1.73440021062179	1.212287047	0.2907064022	1.527504502
30	-15	1.69686600094514	1.326472965	0.3164325622	1.431493166
35	-15	1.66080199260787	1.430447727	0.3439445402	1.328817066
40	-15	1.62631938151499	1.524028286	0.3729976487	1.220389389
45	-15	1.59352527259810	1.607096250	0.4033544538	1.107096250

-45	-10	2.26084478447650	-1.086375649	0.4202791716	1.586375649
-40	-10	2.22286387723241	-0.9159705071	0.4024503468	1.687487939
-35	-10	2.18245625348992	-0.7389484045	0.3880067416	1.769401694
-30	-10	2.14023837024492	-0.5578564976	0.3769229146	1.832261201
-25	-10	2.09677827035054	-0.3750338669	0.3691195672	1.876516183
-20	-10	2.05258882588326	-0.1925839197	0.3644746742	1.902858681
-15	-10	2.00812581017778	-0.01236289400	0.3628338331	1.912164352
-10	-10	1.96378788766424	0.1640197137	0.3640197137	1.905438890
-5	-10	1.91991891006785	0.3351913139	0.3678401882	1.883771902
0	-10	1.87681232740270	0.5000000000	0.3740949595	1.848299331
5	-10	1.83471702120028	0.6574948296	0.3825807292	1.800174140
10	-10	1.79384337903396	0.8069048424	0.3930951576	1.740543853
15	-10	1.75436465271448	0.9476170497	0.4054405644	1.670529572
20	-10	1.71642555382967	1.079155807	0.4194254222	1.591217502
25	-10	1.68014703294318	1.201164055	0.4348657293	1.503651169
30	-10	1.64562751686303	1.313384988	0.4515862956	1.408824126
35	-10	1.61295188556836	1.415649128	0.4694202971	1.307682477
40	-10	1.58219043771610	1.507859734	0.4882100560	1.201120459
45	-10	1.55340389835252	1.589982883	0.5078066092	1.089982883

-45	-5	2.21169339743434	-1.060919329	0.5634372541	1.560919329
-40	-5	2.17048265729682	-0.8920365512	0.5548594077	1.658964561
-35	-5	2.12733746606309	-0.7170691574	0.5479311516	1.738154891
-30	-5	2.08287262182944	-0.5384598335	0.5426371861	1.798665193
-25	-5	2.03765568999821	-0.3584561057	0.5389364273	1.840965060
-20	-5	1.99219852746438	-0.1790809748	0.5367671823	1.865759644
-15	-5	1.94695451884769	-0.002119150252	0.5360520030	1.873934180
-10	-5	1.90231813074920	0.1708852499	0.5367021909	1.866502499
-5	-5	1.85862660006094	0.3386217831	0.5386217831	1.844561460
0	-5	1.81616366632822	0.5000000000	0.5417109067	1.809252615
5	-5	1.77516475544102	0.6541315093	0.5458684907	1.761731212
10	-5	1.73582242846722	0.8003097933	0.5509944289	1.703141471
15	-5	1.69828852814726	0.9379882449	0.5569915220	1.634594383
20	-5	1.66268332582334	1.066759085	0.5637663463	1.557157787
25	-5	1.62909791114725	1.186332365	0.5712302912	1.471844506
30	-5	1.59759893811808	1.296516460	0.5793000293	1.379606978
35	-5	1.56823585285375	1.397202028	0.5878975132	1.281337287
40	-5	1.54104119399795	1.488344994	0.5969502793	1.177863697
45	-5	1.51603671808260	1.569954370	0.6063911221	1.069954370

-45	0	2.16239534431923	-1.029044412	0.7000000000	1.529044412
-40	0	2.11806982738370	-0.8614690415	0.7000000000	1.622535621
-35	0	2.07237054508016	-0.6886629120	0.7000000000	1.697586569
-30	0	2.02590812571974	-0.5129540629	0.7000000000	1.754487903
-25	0	1.97923873082784	-0.3364624320	0.7000000000	1.793799474
-20	0	1.93285893513554	-0.1610766900	0.7000000000	1.816293278
-15	0	1.88720265332621	0.01155601135	0.7000000000	1.822897782
-10	0	1.84264139994486	0.1800286788	0.7000000000	1.814647537
-5	0	1.79948665876622	0.3431644037	0.7000000000	1.792639069
0	0	1.75799418163874	0.5000000000	0.7000000000	1.757994182
5	0	1.71836977380245	0.6497657940	0.7000000000	1.711830858
10	0	1.68077507508019	0.7918635289	0.7000000000	1.655240325
15	0	1.64533168029665	0.9258431744	0.7000000000	1.589268363
20	0	1.61212840762255	1.051380389	0.7000000000	1.514905168
25	0	1.58122471074712	1.168254439	0.7000000000	1.433076268
30	0	1.55265732587907	1.276328663	0.7000000000	1.344640688
35	0	1.52644543994924	1.375533136	0.7000000000	1.250390903
40	0	1.50259255950582	1.465847880	0.7000000000	1.151052680
45	0	1.48109297755530	1.547290888	0.7000000000	1.047290888

-45	5	2.11282925420029	-0.9911452124	0.8304583018	1.491145212
-40	5	2.06559315410136	-0.8247657892	0.8381266110	1.578794389
-35	5	2.01761406457454	-0.6542953992	0.8442254707	1.648504674
-30	5	1.96948838124463	-0.4819297422	0.8487965372	1.700752203
-25	5	1.92174511313187	-0.3096234482	0.8519015873	1.736243088
-20	5	1.87484534170242	-0.1390787789	0.8536173648	1.755854514
-15	5	1.82918267668956	0.02825418242	0.8540307352	1.760579359
-10	5	1.78508495144435	0.1911674351	0.8532343391	1.751476511
-5	5	1.74281847990410	0.3486770077	0.8513229923	1.729629717
0	5	1.70259408915331	0.5000000000	0.8483908524	1.696115205
5	5	1.66457465752316	0.6445293477	0.8445293477	1.651978004
10	5	1.62888224882383	0.7818083713	0.8398256675	1.598214693
15	5	1.59560195053211	0.9115053987	0.8343615073	1.535759056
20	5	1.56479035828797	1.033390296	0.8282126936	1.465477793
25	5	1.53647849004368	1.147312177	0.8214487394	1.388165444
30	5	1.51067970893867	1.253181055	0.8141331483	1.304547855
35	5	1.48739240788619	1.350950756	0.8063235402	1.215283626
40	5	1.46660341636769	1.440604411	0.7980720522	1.120968686
45	5	1.44829335202494	1.522143978	0.7894260105	1.022143978

-45	10	2.06285416346007	-0.9474508088	0.9552246308	1.447450809
-40	10	2.01300165992618	-0.7822876877	0.9694577711	1.528170959
-35	10	1.96310692069487	-0.6144270055	0.9806361520	1.591566707
-30	10	1.91373260525241	-0.4459014002	0.9888851826	1.638349284
-25	10	1.86535999128126	-0.2784576888	0.9943616548	1.669407901
-20	10	1.81839128213103	-0.1135610532	0.9972423506	1.685745139
-15	10	1.77315551938652	0.04758855804	0.9977144394	1.688422487
-10	10	1.72991585661051	0.2040323813	0.9959676187	1.678515775
-5	10	1.68887557632244	0.3550244163	0.9921876495	1.657078504
0	10	1.65018670250503	0.5000000000	0.9865519137	1.625116659
5	10	1.61395957256408	0.6385446829	0.9792266408	1.583572971
10	10	1.58027030155586	0.7703650795	0.9703650795	1.533316560
15	10	1.54916646416683	0.8952617953	0.9601064714	1.475137102
20	10	1.52067534575050	1.013105829	0.9485763756	1.409746680
25	10	1.49480613219016	1.123817029	0.9358866968	1.337779935
30	10	1.47155830917634	1.227347729	0.9221372984	1.259803222
35	10	1.45092073266663	1.323666419	0.9074165227	1.176317554
40	10	1.43287853383027	1.412747634	0.8918032477	1.087770272
45	10	1.41741318183834	1.494561755	0.8753680713	0.9945617546

-45	15	2.01232258316757	-0.8980542539	1.074607508	1.398054254
-40	15	1.96024000448347	-0.7342847510	1.094143425	1.470963286
-35	15	1.90888157721666	-0.5694318360	1.109240662	1.527306945
-30	15	1.85874903368086	-0.4053194676	1.120160227	1.568059315
-25	15	1.81024804948358	-0.2434363937	1.127192601	1.594304491
-20	15	1.76369674534165	-0.08496199290	1.130639868	1.607169867
-15	15	1.71933657519087	0.06919820140	1.130801799	1.607774200
-10	15	1.67734618060394	0.2183720366	1.127966186	1.597191549
-5	15	1.63785095677616	0.3620808134	1.122401408	1.576423517
0	15	1.60093367159015	0.5000000000	1.114352124	1.546383180
5	15	1.56664599962028	0.6319232016	1.104037665	1.507889095
10	15	1.53501651348797	0.7577306817	1.091651509	1.461663329
15	15	1.50605753491623	0.8773620036	1.077362004	1.408334170
20	15	1.47977170104866	0.9907931058	1.061314206	1.348442976
25	15	1.45615495184945	1.098016712	1.043631704	1.282450977
30	15	1.43520232578708	1.199027454	1.024419771	1.210751067
35	15	1.41690720837439	1.293808110	1.003767427	1.133675470
40	15	1.40126679095764	1.382321669	0.9817512603	1.051510019
45	15	1.38827863767218	1.464501850	0.9584374919	0.9645018503

-45	20	1.96109158219997	-0.8429380201	1.188789466	1.342938020
-40	20	1.90726247360109	-0.6809217875	1.212239982	1.407367783
-35	20	1.85497897333891	-0.5196191101	1.230001444	1.456167000
-30	20	1.80464677603087	-0.3605836454	1.242524786	1.490574598
-25	20	1.75656462920545	-0.2049902678	1.250270767	1.511856508
-20	20	1.71094018057653	-0.05368689395	1.253686894	1.521242239
-15	20	1.66790712759425	0.09274897627	1.253191630	1.519881512
-10	20	1.62754346742646	0.2339544845	1.249165240	1.508819095
-5	20	1.58988669211472	0.3697310127	1.241944886	1.488981338
0	20	1.55494481901362	0.5000000000	1.231822450	1.461170172
5	20	1.52270922445235	0.6247647330	1.219046094	1.426067423
10	20	1.49316246997602	0.7440789982	1.203822443	1.384240785
15	20	1.46628540105073	0.8580212716	1.186320130	1.336153576
20	20	1.44206213528675	0.9666737702	1.166673770	1.282175646
25	20	1.42048313011917	1.070105287	1.144988092	1.222594734
30	20	1.40154839806371	1.168357734	1.121342699	1.157629553
35	20	1.38526866730200	1.261435265	1.095796613	1.087442256
40	20	1.37166522302742	1.349295453	1.068392803	1.012150908
45	20	1.36076812811361	1.431841874	1.039162705	0.9318418744

-45	25	1.90903306897067	-0.7819976687	1.297805331	1.281997669
-40	25	1.85404377719802	-0.6223022002	1.323690074	1.337507679
-35	25	1.80145694577495	-0.4652518199	1.342815581	1.378522463
-30	25	1.75154320341574	-0.3120554173	1.355871626	1.406521241
-25	25	1.70446046787180	-0.1635151332	1.363515133	1.422912795
-20	25	1.66028177050912	-0.02010868765	1.366347523	1.428986875
-15	25	1.61901711628022	0.1179351592	1.364901281	1.425885398
-10	25	1.58063466519844	0.2505691996	1.359635252	1.414592363
-5	25	1.54507978617064	0.3778713835	1.350935869	1.395936475
0	25	1.51228557143741	0.5000000000	1.339119499	1.370596190
5	25	1.48218539116405	0.6171572193	1.324438714	1.339113144
10	25	1.45471986439502	0.7295609150	1.307088106	1.301904644
15	25	1.42984369637177	0.8374226243	1.287211151	1.259278378
20	25	1.40752740412843	0.9409295121	1.264905558	1.211443878
25	25	1.38776271387980	1.040230518	1.240230518	1.158528085
30	25	1.37056276595733	1.135424189	1.213212137	1.100586979
35	25	1.35596433061286	1.226549164	1.183850031	1.037619740
40	25	1.34402305744105	1.313573041	1.152121924	0.9695785947
45	25	1.33481616812320	1.396386366	1.117991827	0.8963863662

-45	30	1.85604985630721	-0.7150698514	1.401520906	1.215069851
-40	30	1.80059702300346	-0.5584969550	1.428308629	1.261467549
-35	30	1.74840774176875	-0.4065710816	1.447505603	1.294717683
-30	30	1.69957634222223	-0.2600736468	1.460073647	1.316486174
-25	30	1.65409114159065	-0.1193803526	1.466874417	1.328265453
-20	30	1.61187069241879	0.01542882878	1.468654329	1.331348351
-15	30	1.57279277732629	0.1444786474	1.466042050	1.326823751
-10	30	1.53671461536522	0.2680271104	1.459552564	1.315583631
-5	30	1.50349168645452	0.3864099129	1.449597316	1.298340636
0	30	1.47298722571741	0.5000000000	1.436493613	1.275644357
5	30	1.44508248009460	0.6091772214	1.420476181	1.247901351
10	30	1.41968176248612	0.7143063373	1.401706687	1.215391635
15	30	1.39671801136662	0.8157205982	1.380283343	1.178285314
20	30	1.37615379131329	0.9137084057	1.356247783	1.136654503
25	30	1.35798621055315	1.008502801	1.329593410	1.090487775
30	30	1.34224549318282	1.100270433	1.300270433	1.039698888
35	30	1.32899825810668	1.189102067	1.268193346	0.9841397430
40	30	1.31834414745493	1.275000318	1.233246143	0.9236094134
45	30	1.31041709820744	1.357869363	1.195291108	0.8578693635

-45	35	1.80209129059408	-0.6419623178	1.499610623	1.141962318
-40	35	1.74698338354357	-0.4895699670	1.525771249	1.179323563
-35	35	1.69596464256528	-0.3438150176	1.543815018	1.205092735
-30	35	1.64891178308385	-0.2049675926	1.554981194	1.221039688
-25	35	1.60562149727600	-0.07293543346	1.560319796	1.228664002
-20	35	1.56584962066261	0.05260810391	1.560694498	1.229199132
-15	35	1.52934205388499	0.1721279294	1.556798609	1.223635226
-10	35	1.49585195890666	0.2861603292	1.549173217	1.212745037
-5	35	1.46515406548410	0.3952661272	1.538227997	1.197113644
0	35	1.43705161734394	0.5000000000	1.524258946	1.177163770
5	35	1.41138276621716	0.6008901293	1.507464947	1.153179454
10	35	1.38802287149825	0.6984249525	1.487960226	1.125323826
15	35	1.36688817471753	0.7930439629	1.465785446	1.093654959
20	35	1.34793571611907	0.8851299051	1.440914606	1.058135718
25	35	1.33116768594748	0.9750018211	1.413262692	1.018644693
30	35	1.31663184800917	1.062906272	1.382689930	0.9749822625
35	35	1.30442480483925	1.149007186	1.349007186	0.9268783186
40	35	1.29469299023350	1.233372344	1.311980777	0.8739991262
45	35	1.28763221065606	1.315956146	1.271338644	0.8159561458

-45	40	1.74718167196680	-0.5624968214	1.591540691	1.062496821
-40	40	1.69333434022484	-0.4156133150	1.615613315	1.091185458
-35	40	1.64431321921168	-0.2772406959	1.631412968	1.110014751
-30	40	1.59974593490530	-0.1470680299	1.640424859	1.120754704
-25	40	1.55922715052344	-0.02451539072	1.643841825	1.124826885
-20	40	1.52235529891354	0.09113584987	1.642598392	1.123345020
-15	40	1.48875553753548	0.2006574681	1.637409834	1.117161538
-10	40	1.45809238409118	0.3048216593	1.628808927	1.106911375
-5	40	1.43007526664512	0.4043705922	1.617177124	1.093049133
0	40	1.40446118984065	0.5000000000	1.602770251	1.075879690
5	40	1.38105581383654	0.5923514676	1.585738555	1.055582105
10	40	1.35971270899059	0.6820093660	1.566140799	1.032226409
15	40	1.34033531550118	0.7694998318	1.543955555	1.005787065
20	40	1.32287633562952	0.8552894052	1.519086785	0.9761496182
25	40	1.30734145573279	0.9397824360	1.491368688	0.9431164774
30	40	1.29379202819473	1.023315259	1.460567137	0.9064086176
35	40	1.28234924009191	1.106146082	1.426380289	0.8656663192
40	40	1.27320018625499	1.188439970	1.388439970	0.8204508081
45	40	1.26660128778954	1.270246085	1.346313206	0.7702460848

-45	45	1.69144342907993	-0.4765553191	1.676555319	0.9765553191
-40	45	1.63986824650665	-0.3367814825	1.697237338	0.9972373380
-35	45	1.59370167314462	-0.2071455230	1.709908469	1.009908469
-30	45	1.55231160675233	-0.08671863839	1.716226491	1.016226491
-25	45	1.51509855664152	0.02555353370	1.717453730	1.017453730
-20	45	1.48152291382591	0.1307399409	1.714533674	1.014533674
-15	45	1.45111243578265	0.2298655701	1.708155417	1.008155417
-10	45	1.42346543516739	0.3238831195	1.698808462	0.9988084625
-5	45	1.39824608744096	0.4136641971	1.686822742	0.9868227425
0	45	1.37518137875797	0.5000000000	1.672400078	0.9724000783
5	45	1.35405669731048	0.5836072943	1.655635746	0.9556357465
10	45	1.33471182811339	0.6651359265	1.636532378	0.9365323779
15	45	1.31704077458117	0.7451760801	1.615009588	0.9150095878
20	45	1.30099114423750	0.8242636765	1.590907129	0.8909071291
25	45	1.28656698825048	0.9028828082	1.563984970	0.8639849704
30	45	1.27383472757466	0.9814642715	1.533920580	0.8339205803
35	45	1.26292943881135	1.060377713	1.500302314	0.8003023136
40	45	1.25406667639627	1.139917124	1.462623532	0.7626235319
45	45	1.24755316457221	1.220275155	1.420275155	0.7202751554


### +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	1.91675276456651	1.606637725	-0.4066377246	1.106637725
45	-40	1.85060364075386	1.625389831	-0.2443141919	1.125389831
45	-35	1.79002030630714	1.634313089	-0.09425457541	1.134313089
45	-30	1.73453490331985	1.635519641	0.04440742935	1.135519641
45	-25	1.68362945035041	1.630629461	0.1727788237	1.130629461
45	-20	1.63678809336815	1.620857884	0.2920410933	1.120857884
45	-15	1.59352529614485	1.607096267	0.4033544494	1.107096267
45	-10	1.55340392757951	1.589982904	0.5078066055	1.089982904
45	-5	1.51603673603068	1.569954383	0.6063911210	1.069954383
45	0	1.48109299033079	1.547290897	0.7000000000	1.047290897
45	5	1.44829336024046	1.522143983	0.7894260110	1.022143983
45	10	1.41741318822587	1.494561759	0.8753680721	0.9945617591
45	15	1.38827864891964	1.464501858	0.9584374940	0.9645018581
45	20	1.36076814781031	1.431841888	1.039162710	0.9318418879
45	25	1.33481619745413	1.396386386	1.117991836	0.8963863859
45	30	1.31041713070270	1.357869385	1.195291120	0.8578693848
45	35	1.28763222274928	1.315956153	1.271338649	0.8159561534
45	40	1.26660129842377	1.270246091	1.346313211	0.7702460913
45	45	1.24755320139116	1.220275177	1.420275177	0.7202751767

50	-45	1.92870233632881	1.672883241	-0.4728832409	0.9841658949
50	-40	1.85926486045088	1.698111164	-0.3053346358	1.005334636
50	-35	1.79494926124900	1.711703545	-0.1484439562	1.016739998
50	-30	1.73552859831397	1.715881721	-0.001989638811	1.020245903
50	-25	1.68067363102436	1.712438409	0.1346306848	1.017356622
50	-20	1.63000870969921	1.702782404	0.2622230065	1.009254272
50	-15	1.58315105969687	1.687995899	0.3816774584	0.9968469203
50	-10	1.53973576677372	1.668890980	0.4938929828	0.9808159900
50	-5	1.49942739902971	1.646057034	0.5997330018	0.9616560346
50	0	1.46193287433156	1.619905555	0.7000000000	0.9397123378
50	5	1.42700127022982	1.590699586	0.7954238491	0.9152056203
50	10	1.39443158555266	1.558583257	0.8866567895	0.8882568202
50	15	1.36407048378623	1.523597925	0.9742722374	0.8589006415
50	20	1.33581547233197	1.485697399	1.058764513	0.8270983240
50	25	1.30961905161622	1.444759536	1.140548607	0.7927473780
50	30	1.28549091733489	1.400593001	1.219957612	0.7556872550
50	35	1.26350376482069	1.352944439	1.297238126	0.7157053643
50	40	1.24379965591834	1.301505092	1.372542627	0.6725426273
50	45	1.22659366772615	1.245916635	1.445916635	0.6258983732

55	-45	1.93896559578380	1.728697823	-0.5286978232	0.8603434780
55	-40	1.86691271573872	1.760283399	-0.3575033352	0.8824599362
55	-35	1.79948979081084	1.778654059	-0.1953232110	0.8953232110
55	-30	1.73668681570858	1.786038192	-0.04249449611	0.9004936362
55	-25	1.67835976048620	1.784325243	0.1011093035	0.8992942169
55	-20	1.62428214960249	1.775068935	0.2359128609	0.8928128802
55	-15	1.57418887224422	1.759517419	0.3625133247	0.8819235913
55	-10	1.52780233289291	1.738648441	0.4815928602	0.8673109758
55	-5	1.48485272075813	1.713208558	0.5938580047	0.8494977777
55	0	1.44509455786246	1.683752161	0.7000000000	0.8288721867
55	5	1.40831177144679	1.650670278	0.8006706048	0.8057080028
55	10	1.37432884506376	1.614221549	0.8964673216	0.7801863277
55	15	1.34301047361853	1.574550275	0.9879248784	0.7524082027
55	20	1.31426684698046	1.531705501	1.075510093	0.7224079692
55	25	1.28805700181419	1.485655258	1.159618595	0.6901632415
55	30	1.26439037018845	1.436296798	1.240571209	0.6556020762
55	35	1.24333068296689	1.383466988	1.318610244	0.6186102445
55	40	1.22499849559302	1.326950963	1.393894248	0.5790372978
55	45	1.20957142661655	1.266490020	1.466490020	0.5367020902

60	-45	1.94761652856869	1.775014310	-0.5750143096	0.7361298548
60	-40	1.87351467349367	1.812552410	-0.4013622435	0.7578024875
60	-35	1.80355023468172	1.835551385	-0.2351631475	0.7710809517
60	-30	1.73789685811309	1.846169118	-0.07721110252	0.7772111025
60	-25	1.67657997322271	1.846324396	0.07219862383	0.7773007524
60	-20	1.61952077788646	1.837667052	0.2131290098	0.7723024325
60	-15	1.56657596718133	1.821579188	0.3458839239	0.7630140997
60	-10	1.51756344091557	1.799188283	0.4709180527	0.7500867048
60	-5	1.47228751125980	1.771394263	0.5887674152	0.7340398197
60	0	1.43055690080006	1.738898618	0.7000000000	0.7152784504
60	5	1.39219356367937	1.702229113	0.8051814184	0.6941073022
60	10	1.35704777553781	1.661770587	0.9048514998	0.6707485610
60	15	1.32499850175340	1.617782016	0.9995087886	0.6453517481
60	20	1.29596166355271	1.570418633	1.089600521	0.6180064861
60	25	1.26989230176344	1.519746754	1.175515721	0.5887510631
60	30	1.24678619391305	1.465756433	1.257579737	0.5575797366
60	35	1.22668388560665	1.408374677	1.336050797	0.5244503645
60	40	1.20966974728807	1.347473983	1.411115107	0.4892893323
60	45	1.19587187345218	1.282881912	1.482881912	0.4519970824

65	-45	1.95474211853944	1.812693258	-0.6126932580	0.6121189190
65	-40	1.87906198637509	1.855555822	-0.4374463901	0.6321060608
65	-35	1.80706150493899	1.882811219	-0.2682548398	0.6448154614
65	-30	1.73906219045124	1.896498760	-0.1062689348	0.6511980662
65	-25	1.67523584447622	1.898515579	0.04786147552	0.6521385245
65	-20	1.61564059039170	1.890564686	0.1938758456	0.6484309621
65	-15	1.56025026163434	1.874128811	0.3318032948	0.6407667878
65	-10	1.50897870700970	1.850463711	0.4618768113	0.6297315704
65	-5	1.46170670845362	1.820611225	0.5844614888	0.6158111279
65	0	1.41829921191579	1.785415620	0.7000000000	0.5993991476
65	5	1.37861693734403	1.745541936	0.8089707993	0.5808057432
65	10	1.34253405416520	1.701503714	0.9118575222	0.5602703831
65	15	1.30993977291282	1.653677732	1.009127016	0.5379687613
65	20	1.28074977733580	1.602327722	1.101214479	0.5140238586
65	25	1.25490712797272	1.547617966	1.188512281	0.4885122805
65	30	1.23238612359818	1.489628607	1.271362343	0.4614713982
65	35	1.21319528290135	1.428369092	1.350051036	0.4329056172
65	40	1.19737618180954	1.363787499	1.424803772	0.4027907259
65	45	1.18500360432314	1.295780798	1.495780798	0.3710786801

70	-45	1.96043115765454	1.842485767	-0.6424857673	0.4886248592
70	-40	1.88356430004188	1.889880915	-0.4662485635	0.5058752824
70	-35	1.80997825864206	1.920841232	-0.2948837415	0.5171439162
70	-30	1.74010786800608	1.937267736	-0.1298069142	0.5231226746
70	-25	1.67424629513466	1.941005993	0.02804787006	0.5244832888
70	-20	1.61256955103812	1.933778306	0.1781473741	0.5218526259
70	-15	1.55515696930252	1.917137853	0.3202790567	0.5157959964
70	-10	1.50201153127364	1.892444334	0.4544744948	0.5068082904
70	-5	1.45308666563571	1.860863600	0.5809398624	0.4953138433
70	0	1.40830127702637	1.823370318	0.7000000000	0.4816674046
70	5	1.36755247911414	1.780758013	0.8120518068	0.4661577939
70	10	1.33073560694015	1.733662470	0.9175279786	0.4490164183
70	15	1.29774689697930	1.682572748	1.016869413	0.4304212803
70	20	1.26849674707939	1.627854061	1.110505307	0.4105053069
70	25	1.24291233058011	1.569761434	1.198837949	0.3893613196
70	30	1.22094216422153	1.508455172	1.282231865	0.3670476654
70	35	1.20256009976136	1.444015192	1.361006554	0.3435934307
70	40	1.18776482119048	1.376450916	1.435429641	0.3190020454
70	45	1.17658106262598	1.305712215	1.505712215	0.2932552637

75	-45	1.96476489273138	1.865013711	-0.6650137106	0.3657543214
75	-40	1.88703792358764	1.916032475	-0.4881923276	0.3794247582
75	-35	1.81226890688938	1.950006601	-0.3153055525	0.3885280978
75	-30	1.74097491931168	1.968703892	-0.1479565872	0.3935380217
75	-25	1.67354335285114	1.973907228	0.01270577239	0.3949322513
75	-20	1.61024485078255	1.967336723	0.1659331093	0.3931716899
75	-15	1.55124663647946	1.950591092	0.3113152883	0.3886847117
75	-10	1.49662822694163	1.925109488	0.4487147469	0.3818569363
75	-5	1.44640622028565	1.892158897	0.5782018787	0.3730278521
75	0	1.40054583359564	1.852823392	0.7000000000	0.3624879353
75	5	1.35897581164410	1.808007557	0.8144358330	0.3504795686
75	10	1.32160900668278	1.758453837	0.9218993654	0.3372016892
75	15	1.28834594253208	1.704749202	1.022811576	0.3228115759
75	20	1.25908941865847	1.647346095	1.117599827	0.3074304595
75	25	1.23374973464958	1.586576364	1.206678880	0.2911472592
75	30	1.21225049153597	1.522666665	1.290436874	0.2740227070
75	35	1.19453346495726	1.455752981	1.369225442	0.2560932393
75	40	1.18055921635748	1.385891146	1.443350934	0.2373738172
75	45	1.17031040133974	1.313069161	1.513069161	0.2178612252

80	-45	1.96781024371218	1.880760976	-0.6807609763	0.2434654140
80	-40	1.88950225117113	1.934416336	-0.5036182189	0.2529263017
80	-35	1.81391546036492	1.970611420	-0.3297332017	0.2593084714
80	-30	1.74162260946446	1.991005665	-0.1608325220	0.2629045271
80	-25	1.67307742641585	1.997324210	0.001786254295	0.2640186570
80	-20	1.60861956630010	1.991275635	0.1572200577	0.2629521302
80	-15	1.54848203495644	1.974485380	0.3049128333	0.2599915551
80	-10	1.49280277572751	1.948447911	0.4445995531	0.2554004469
80	-5	1.44164732707662	1.914504911	0.5762468558	0.2494153801
80	0	1.39501734024873	1.873823892	0.7000000000	0.2422422189
80	5	1.35286516968926	1.827394287	0.8161319522	0.2340554269
80	10	1.31511679008367	1.776041416	0.9250005301	0.2250005301
80	15	1.28167503551296	1.720428173	1.027012743	0.2151944150
80	20	1.25243571840738	1.661074322	1.122596493	0.2047287295
80	25	1.22729442167751	1.598369759	1.212178230	0.1936722233
80	30	1.20615382441011	1.532590054	1.296166146	0.1820734866
80	35	1.18893005849910	1.463911582	1.374938156	0.1699636189
80	40	1.17555407634367	1.392422314	1.448831235	0.1573581322
80	45	1.16597688056053	1.318135479	1.518135479	0.1442593588

85	-45	1.96961766414913	1.890072550	-0.6900725505	0.1216155896
85	-40	1.89097414145759	1.945327875	-0.5127740866	0.1264498041
85	-35	1.81490742491405	1.982881897	-0.3383250827	0.1297353554
85	-30	1.74202255675461	2.004324031	-0.1685218843	0.1316112990
85	-25	1.67281254256612	2.011339456	-0.004749162466	0.1322250692
85	-20	1.60765889229500	2.005625590	0.1519971014	0.1317251706
85	-15	1.54683523838866	1.988821334	0.3010715258	0.1302549888
85	-10	1.49051606274884	1.962453577	0.4421299763	0.1279481089
85	-5	1.43879788859660	1.927909799	0.5750740801	0.1249259199
85	0	1.39170549040155	1.886409631	0.7000000000	0.1212951257
85	5	1.34920594405903	1.838995840	0.8171469565	0.1171469565
85	10	1.31123324385855	1.786546181	0.9268528036	0.1125582059
85	15	1.27769128248908	1.729771596	1.029516306	0.1075910734
85	20	1.24847093523327	1.669234218	1.125566452	0.1022947391
85	25	1.22345768497788	1.605359881	1.215437777	0.09670645866
85	30	1.20254067995962	1.538454316	1.299551879	0.09085298027
85	35	1.18561957887172	1.468718176	1.378303769	0.08475185856
85	40	1.17260667228073	1.396258215	1.452049938	0.07841243345
85	45	1.16343341715334	1.321101926	1.521101926	0.07183711012

90	-45	1.97021601893698	1.893153107	-0.6931531074	0.000000000
90	-40	1.89146281995056	1.948944583	-0.5158088648	0.000000000
90	-35	1.81523795141999	1.986955879	-0.3411777153	0.000000000
90	-30	1.74215699873757	2.008752218	-0.1710784994	0.000000000
90	-25	1.67272596445394	2.016004567	-0.006924539466	0.000000000
90	-20	1.60734037958790	2.010405894	0.1502572130	0.000000000
90	-15	1.54628764134876	1.993599168	0.2997913092	0.000000000
90	-10	1.48975453214994	1.967121813	0.4413068403	0.000000000
90	-5	1.43784831104362	1.932376864	0.5746832625	0.000000000
90	0	1.39060164300300	1.890601643	0.7000000000	0.000000000
90	5	1.34798662514138	1.842857129	0.8174847755	0.000000000
90	10	1.30993993328434	1.790039002	0.9274686823	0.000000000
90	15	1.27636575659575	1.732874648	1.030347766	0.000000000
90	20	1.24715320564386	1.671940664	1.126551518	0.000000000
90	25	1.22218427650610	1.607675127	1.216517394	0.000000000
90	30	1.20134331695736	1.540393831	1.300671658	0.000000000
90	35	1.18452429602365	1.470305499	1.379415224	0.000000000
90	40	1.17163315544931	1.397523068	1.453111275	0.000000000
90	45	1.16259474317931	1.322078627	1.522078627	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	1.24755324043696	1.220275199	1.420275199	0.7202751992
40	45	1.25406671566048	1.139917144	1.462623556	0.7626235558
35	45	1.26292947331243	1.060377728	1.500302335	0.8003023355
30	45	1.27383477326135	0.9814642888	1.533920610	0.8339206102
25	45	1.28656701687851	0.9028828172	1.563984990	0.8639849896
20	45	1.30099117224746	0.8242636835	1.590907148	0.8909071483
15	45	1.31704078925141	0.7451760829	1.615009598	0.9150095980
10	45	1.33471183832417	0.6651359278	1.636532385	0.9365323851
5	45	1.35405670466923	0.5836072947	1.655635752	0.9556357517
0	45	1.37518138892306	0.5000000000	1.672400085	0.9724000855
-5	45	1.39824610346242	0.4136641961	1.686822754	0.9868227538
-10	45	1.42346545958761	0.3238831165	1.698808480	0.9988084796
-15	45	1.45111246757445	0.2298655642	1.708155439	1.008155439
-20	45	1.48152297272476	0.1307399262	1.714533715	1.014533715
-25	45	1.51509862006429	0.02555351384	1.717453773	1.017453773
-30	45	1.55231175067401	-0.08671869279	1.716226586	1.016226586
-35	45	1.59370182657022	-0.2071455911	1.709908566	1.009908566
-40	45	1.63986851249329	-0.3367816182	1.697237500	0.9972374997
-45	45	1.69144374626856	-0.4765555022	1.676555502	0.9765555022

45	50	1.22659371452520	1.245916663	1.445916663	0.6258983970
40	50	1.23081979800644	1.165524208	1.493140866	0.6655242078
35	50	1.23781661389448	1.085096218	1.535603998	0.7011550066
30	50	1.24729660559376	1.004508710	1.573834718	0.7332343895
25	50	1.25904809396554	0.9235368161	1.608277633	0.7621354271
20	50	1.27293147913067	0.8418755449	1.639295340	0.7881623733
15	50	1.28887146006175	0.7591520477	1.667168609	0.8115508231
10	50	1.30685358352053	0.6749337126	1.692098384	0.8324693879
5	50	1.32692029348728	0.5887314149	1.714204714	0.8510188012
0	50	1.34916806970319	0.5000000000	1.733522703	0.8672285186
-5	50	1.37374792401627	0.4081372124	1.749996467	0.8810516481
-10	50	1.40086418536143	0.3124821511	1.763466567	0.8923544042
-15	50	1.43077662636665	0.2123152277	1.773654187	0.9009028323
-20	50	1.46380104887434	0.1068619643	1.780137876	0.9063432931
-25	50	1.50030745630904	-0.004695131423	1.782322202	0.9081761606
-30	50	1.54071855185039	-0.1231925310	1.779401127	0.9057250871
-35	50	1.58549808203228	-0.2494397164	1.770310837	0.8980974287
-40	50	1.63513279198375	-0.3841427948	1.753680352	0.8841427948
-45	50	1.69009792432439	-0.5277830299	1.727783030	0.8624123613

45	55	1.20957145483661	1.266490038	1.466490038	0.5367021027
40	55	1.21166370040855	1.186340820	1.517949138	0.5727341523
35	55	1.21684875589094	1.105434352	1.564649863	0.6054343520
30	55	1.22487819859275	1.023678370	1.607037544	0.6351145255
25	55	1.23556419022722	0.9408875355	1.645486371	0.6620366843
20	55	1.24878012599239	0.8567993382	1.680298125	0.6864121368
15	55	1.26445655995062	0.7710838883	1.711698844	0.7083991572
10	55	1.28257942884501	0.6833512743	1.739836749	0.7281015299
5	55	1.30318816595798	0.5931560351	1.764778354	0.7455658298
0	55	1.32637314998902	0.5000000000	1.786501277	0.7607763846
-5	55	1.35227671309135	0.4033349594	1.804886470	0.7736498351
-10	55	1.38108985102681	0.3025661581	1.819702958	0.7840244517
-15	55	1.41305268559513	0.1970589354	1.830591445	0.7916486523
-20	55	1.44845119270700	0.08615098350	1.837040828	0.7961645589
-25	55	1.48761230579593	-0.03082610234	1.838360250	0.7970884283
-30	55	1.53089500034519	-0.1545112807	1.833646792	0.7937880296
-35	55	1.57867520840802	-0.2854585027	1.821750995	0.7854585027
-40	55	1.63131894984000	-0.4240524292	1.801242802	0.7710985116
-45	55	1.68914884818031	-0.5703921294	1.770392129	0.7494966378

45	60	1.19587189161053	1.282881924	1.482881924	0.4519970893
40	60	1.19605417959887	1.203111074	1.537935149	0.4837820837
35	60	1.19956615046511	1.121989915	1.588293657	0.5128565821
30	60	1.20620809685081	1.039432660	1.634324774	0.5394326599
25	60	1.21582829083546	0.9552712584	1.676332364	0.5636857533
20	60	1.22832532405047	0.8692672394	1.714553402	0.5857526798
15	60	1.24364657563880	0.7811196231	1.749152716	0.6057286031
10	60	1.26178703924132	0.6904715310	1.780217731	0.6236639977
5	60	1.28279023661653	0.5969159031	1.807753842	0.6395619788
0	60	1.30674461672918	0.5000000000	1.831674034	0.6533723084
-5	60	1.33378490286106	0.3992314061	1.851790299	0.6649864393
-10	60	1.36408704457626	0.2940858959	1.867796915	0.6742278634
-15	60	1.39786743172659	0.1840195815	1.879254976	0.6808431779
-20	60	1.43537564553296	0.06848793085	1.885569666	0.6844889659
-25	60	1.47688770992595	-0.05302589292	1.885967855	0.6847188601
-30	60	1.52269165659205	-0.1809684106	1.879471885	0.6809684106
-35	60	1.57307117586276	-0.3156568993	1.864878775	0.6725430743
-40	60	1.62827507046220	-0.4571959644	1.840741729	0.6586075445
-45	60	1.68848572129138	-0.6053733754	1.805373375	0.6381876158

45	65	1.18500361685833	1.295780806	1.495780806	0.3710786840
40	65	1.18354114646838	1.216429056	1.553806901	0.3981366965
35	65	1.18557606626383	1.135252182	1.607234138	0.4230502261
30	65	1.19095959418334	1.052156058	1.656362346	0.4459590858
25	65	1.19958100296312	0.9669748369	1.701430769	0.4669748369
20	65	1.21137093124857	0.8794804933	1.742614086	0.4861789330
15	65	1.22629994513147	0.7893892156	1.780015256	0.5036193847
10	65	1.24437865676500	0.6963681875	1.813659332	0.5193078750
5	65	1.26565981677365	0.6000422657	1.843488329	0.5332173649
0	65	1.29023341352904	0.5000000000	1.869348590	0.5452762025
-5	65	1.31822808173855	0.3958025512	1.890982290	0.5553641624
-10	65	1.34980445539935	0.2869951779	1.908010375	0.5633044890
-15	65	1.38515296024372	0.1731237490	1.919918776	0.5688574678
-20	65	1.42448424140869	0.05375849899	1.926038448	0.5717111173
-25	65	1.46802051283527	-0.07147340436	1.925528671	0.5714734044
-30	65	1.51597784511014	-0.2028419392	1.917357948	0.5676633341
-35	65	1.56855046806729	-0.3404564969	1.900296271	0.5597073431
-40	65	1.62588034094031	-0.4841887804	1.872910515	0.5469371554
-45	65	1.68802797480178	-0.6335832593	1.833583259	0.5285985550

45	70	1.17658107105298	1.305712221	1.505712221	0.2932552658
40	70	1.17376175898227	1.226759349	1.566118066	0.3152411953
35	70	1.17455426381997	1.145612695	1.622030483	0.3355916508
30	70	1.17885681500890	1.062162584	1.673694158	0.3543956908
25	70	1.18659911315228	0.9762368618	1.721293246	0.3717203420
20	70	1.19774465493360	0.8876088277	1.764946502	0.3876088277
15	70	1.21229019491187	0.7960035453	1.804700270	0.4020780161
10	70	1.23026542607736	0.7011046746	1.840521285	0.4151157993
5	70	1.25173509671473	0.6025621915	1.872291213	0.4266791075
0	70	1.27679296750351	0.5000000000	1.899792930	0.4366889137
-5	70	1.30556308929724	0.3930273570	1.922702904	0.4450274624
-10	70	1.33819169975670	0.2812532152	1.940574664	0.4515322509
-15	70	1.37484413122696	0.1643058413	1.952827656	0.4559919754
-20	70	1.41569280388591	0.04185975625	1.958729975	0.4581402438
-25	70	1.46090803584849	-0.08632966320	1.957388020	0.4576518124
-30	70	1.51063871022151	-0.2203797361	1.947734304	0.4541381468
-35	70	1.56499850479136	-0.3602266687	1.928531002	0.4471487167
-40	70	1.62403777430388	-0.5055572413	1.898376455	0.4361733590
-45	70	1.68771660493920	-0.6557332746	1.855733275	0.4206525107

45	75	1.17031040590251	1.313069164	1.513069164	0.2178612260
40	75	1.16643225606988	1.234455752	1.575290281	0.2345333240
35	75	1.16624101794900	1.153374881	1.633116034	0.2500276877
30	75	1.16967403541603	1.069699651	1.686748740	0.2643985280
25	75	1.17669629223889	0.9832480545	1.736328797	0.2776834643
20	75	1.18730111178677	0.8937899338	1.781928951	0.2899019887
15	75	1.20151028706357	0.8010537903	1.823548041	0.3010537903
10	75	1.21937209287173	0.7047336937	1.861102475	0.3111164705
5	75	1.24096377379596	0.6044983450	1.894421549	0.3200442895
0	75	1.26638394718683	0.5000000000	1.923232961	0.3277642839
-5	75	1.29575369700529	0.3908879375	1.947156581	0.3341745988
-10	75	1.32920708277347	0.2768249107	1.965688827	0.3391402990
-15	75	1.36688696328958	0.1575089655	1.978193942	0.3424910345
-20	75	1.40893183800270	0.03270221879	1.983890102	0.3440173160
-25	75	1.45546652458002	-0.09773398707	1.981844672	0.3434692447
-30	75	1.50658255240838	-0.2337937987	1.970968142	0.3405548872
-35	75	1.56232636492416	-0.3752777400	1.950026160	0.3349435000
-40	75	1.62267459914850	-0.5217333127	1.917654346	0.3262694987
-45	75	1.68751097198743	-0.6723924944	1.872392494	0.3141416221

45	80	1.16597688323071	1.318135481	1.518135481	0.1442593591
40	80	1.16134211451753	1.239778175	1.581633298	0.1554557375
35	80	1.16044023157117	1.158764899	1.640813777	0.1658908528
30	80	1.16323781337924	1.074954031	1.695849594	0.1755951522
25	80	1.16972700664968	0.9881540220	1.746849678	0.1845878430
20	80	1.17992465826443	0.8981298322	1.793852724	0.1928757482
15	80	1.19387290164882	0.8046104840	1.836821803	0.2004523561
10	80	1.21163592003136	0.7072962085	1.875635218	0.2072962085
5	80	1.23330141919299	0.6058684225	1.910081607	0.2133700362
0	80	1.25897255581731	0.5000000000	1.939845934	0.2186182901
-5	80	1.28876884940053	0.3893701710	1.964504732	0.2229663014
-10	80	1.32281492498494	0.2736824124	1.983510820	0.2263175876
-15	80	1.36123595688991	0.1526876998	1.996187151	0.2285527667
-20	80	1.40414379706711	0.02621421175	2.001715755	0.2295276088
-25	80	1.45162781213237	-0.1057977211	1.999137405	0.2290729762
-30	80	1.50373629007085	-0.2432523532	1.987350839	0.2269946865
-35	80	1.56046479033005	-0.3858529738	1.965129159	0.2230764048
-40	80	1.62173645380885	-0.5330506570	1.931141832	0.2170835220
-45	80	1.68738158729103	-0.6839915232	1.883991523	0.2087696505

45	85	1.16343341826866	1.321101927	1.521101927	0.07183711019
40	85	1.15834504060043	1.242903257	1.585357625	0.07745875540
35	85	1.15701410734015	1.161938318	1.645345890	0.08270704847
30	85	1.15942511601621	1.078055710	1.701221860	0.08759556242
25	85	1.16558746329611	0.9910572868	1.753075750	0.09213218996
20	85	1.17553275438329	0.9007040050	1.800925206	0.09631847488
15	85	1.18931657669486	0.8067244885	1.844711375	0.1001492683
10	85	1.20701325297386	0.7088219939	1.884288378	0.1036118074
5	85	1.22871760487860	0.6066853645	1.919419296	0.1066853645
0	85	1.25453621151667	0.5000000000	1.949762322	0.1093400353
-5	85	1.28458772674910	0.3884636232	1.974866621	0.1115363768
-10	85	1.31899086141028	0.2718050726	1.994157743	0.1132241313
-15	85	1.35785951048287	0.1498083253	2.006933122	0.1143418322
-20	85	1.40128854813926	0.02234258781	2.012352954	0.1148160060
-25	85	1.44934493472203	-0.1106031626	2.009442708	0.1145613925
-30	85	1.50204983258989	-0.2488784493	1.997095523	0.1134811538
-35	85	1.55936743104182	-0.3921283227	1.974091286	0.1114685438
-40	85	1.62118844357299	-0.5397473402	1.939122628	0.1084091827
-45	85	1.68731152151143	-0.6908328570	1.890832857	0.1041843751

45	90	1.16259474387425	1.322078627	1.522078627	0.000000000
40	90	1.15735519956159	1.243933582	1.586585519	0.000000000
35	90	1.15588077373266	1.162985975	1.646842099	0.000000000
30	90	1.15816202445441	1.079081012	1.702997735	0.000000000
25	90	1.16421416141807	0.9920181652	1.755136360	0.000000000
20	90	1.17407392331736	0.9015569315	1.803268602	0.000000000
15	90	1.18780147142386	0.8074256426	1.847328118	0.000000000
10	90	1.20547481562337	0.7093285050	1.887160944	0.000000000
5	90	1.22719119640410	0.6069567602	1.922521363	0.000000000
0	90	1.25305842636339	0.5000000000	1.953058426	0.000000000
-5	90	1.28319488960901	0.3881621963	1.978311946	0.000000000
-10	90	1.31771728027072	0.2711807956	1.997698194	0.000000000
-15	90	1.35673561964490	0.1488509825	2.010505974	0.000000000
-20	90	1.40033895386597	0.02105587029	2.015888182	0.000000000
-25	90	1.44858658025459	-0.1121991425	2.012865298	0.000000000
-30	90	1.50149042262396	-0.2507452113	2.000328850	0.000000000
-35	90	1.55900407990999	-0.3942080044	1.977061379	0.000000000
-40	90	1.62100741023333	-0.5419634785	1.941763719	0.000000000
-45	90	1.68728858831194	-0.6930932026	1.893093203	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	1.68728858421396	-0.6930931997	1.893093200	1.461117768e-16
-90	40	1.75753506459456	-0.8463499698	1.829721763	1.648803181e-16
-90	35	1.83133264750972	-1.000139882	1.750409254	1.837141505e-16
-90	30	1.90815093651106	-1.152507185	1.654075468	2.023737635e-16
-90	25	1.98735114104006	-1.301151815	1.539890885	2.205774805e-16
-90	20	2.06819577061754	-1.443468304	1.407364614	2.380062238e-16
-90	15	2.14985358720041	-1.576599103	1.256423053	2.543100444e-16
-90	10	2.23142717975995	-1.697526787	1.087483263	2.691194146e-16
-90	5	2.31197100772213	-1.803173260	0.9015015504	2.820573761e-16
-90	-2.84217e-14	2.39051495834311	-1.890514958	0.7000000000	2.927536492e-16
-90	-5	2.46607887621489	-1.956694702	0.4850670639	3.008583303e-16
-90	-10	2.53770069529136	-1.999147320	0.2593328988	3.060572765e-16
-90	-15	2.60445667257585	-2.015711963	0.02591701099	3.080858604e-16
-90	-20	2.66547529643527	-2.004727467	-0.2116462429	3.067406475e-16
-90	-25	2.71995389381714	-1.965115394	-0.4495021866	3.018895677e-16
-90	-30	2.76717211043754	-1.896441344	-0.6835860552	2.934794222e-16
-90	-35	2.80649857678040	-1.798949046	-0.9097414523	2.815400591e-16
-90	-40	2.83741071244375	-1.673582709	-1.123852450	2.661871107e-16
-90	-45	2.85949819382210	-1.521970564	-1.321970564	2.476199779e-16

-85	45	1.68731151525113	-0.6908328526	1.890832853	0.1041843748
-85	40	1.75739101618084	-0.8432263122	1.827100703	0.1175170749
-85	35	1.83095403983757	-0.9959928882	1.747505497	0.1308824184
-85	30	1.90746951513524	-1.147195795	1.651008936	0.1441109587
-85	25	1.98630395362426	-1.294570199	1.536821827	0.1570045483
-85	20	2.06672996979288	-1.435560799	1.404486517	0.1693396275
-85	15	2.14793305100711	-1.567375032	1.253951470	0.1808718786
-85	10	2.22903748480248	-1.687070589	1.085639554	0.1913438829
-85	5	2.30912095681051	-1.791646705	0.9004931075	0.2004931075
-85	-2.84217e-14	2.38723950542628	-1.878155338	0.7000000000	0.2080616322
-85	-5	2.46243875997667	-1.943804277	0.4861948299	0.2138051701
-85	-10	2.53377833613684	-1.986073974	0.2616380823	0.2175032894
-85	-15	2.60035260680794	-2.002826637	0.02936962387	0.2189689575
-85	-20	2.66130254191534	-1.992397628	-0.2071585484	0.2180565374
-85	-25	2.71583090553038	-1.953677444	-0.4441685828	0.2146689603
-85	-30	2.76321487368530	-1.886174922	-0.6776587333	0.2087632548
-85	-35	2.80281439396952	-1.790057702	-0.9035156656	0.2003540877
-85	-40	2.83408936949619	-1.666178942	-1.117639951	0.1895161006
-85	-45	2.85660754822505	-1.516072364	-1.316072364	0.1763834767

-80	45	1.68738157169492	-0.6839915123	1.883991512	0.2087696485
-80	40	1.75695821441236	-0.8337954817	1.819187297	0.2351841302
-80	35	1.82981757103807	-0.9835038757	1.738760597	0.2615817593
-80	30	1.90542777287947	-1.131239505	1.641796567	0.2876315367
-80	25	1.98317202683871	-1.274844033	1.527623365	0.3129528896
-80	20	2.06235324611593	-1.411910816	1.395878628	0.3371214615
-80	15	2.14220660534019	-1.539837885	1.246572914	0.3596784554
-80	10	2.22191922631771	-1.655900507	1.080143427	0.3801434272
-80	5	2.30063716426393	-1.757322236	0.8974901055	0.3980268143
-80	-2.84217e-14	2.37749178232405	-1.841372340	0.7000000000	0.4128471154
-80	-5	2.45160296309209	-1.905445747	0.4895507664	0.4241449858
-80	-10	2.52209548617474	-1.947157788	0.2685000560	0.4314999440
-80	-15	2.58811678003845	-1.964439539	0.03965541566	0.4345471831
-80	-20	2.64884496528455	-1.955619738	-0.1937724914	0.4329920142
-80	-25	2.70350077844769	-1.919503785	-0.4282331440	0.4266237973
-80	-30	2.75135679851551	-1.855440582	-0.6599142540	0.4153277260
-80	-35	2.79174899392484	-1.763378884	-0.8848349566	0.3990947649
-80	-40	2.82408956253889	-1.643908641	-1.098952950	0.3780289376
-80	-45	2.84788226529211	-1.498284494	-1.298284494	0.3523514714

-75	45	1.68751093190086	-0.6723924665	1.872392467	0.3141416146
-75	40	1.75624320568259	-0.8178841731	1.805836124	0.3531259999
-75	35	1.82792912691004	-0.9625364317	1.724079034	0.3918854558
-75	30	1.90203934594116	-1.104579456	1.626404381	0.4299457695
-75	25	1.97798733034431	-1.242034240	1.512323907	0.4667766677
-75	20	2.05512962947062	-1.372738282	1.381620991	0.5017987103
-75	15	2.13278031662530	-1.494390870	1.234395423	0.5343954230
-75	10	2.21022331844782	-1.604604313	1.071098524	0.5639270259
-75	5	2.28671474616511	-1.700951733	0.8925583256	0.5897432396
-75	-2.84217e-14	2.36150283501625	-1.781036577	0.7000000000	0.6112019088
-75	-5	2.43382135896669	-1.842541127	0.4950542075	0.6276820033
-75	-10	2.50290089244545	-1.883295827	0.2797606427	0.6386021922
-75	-15	2.56797485045495	-1.901346991	0.05656101294	0.6434389871
-75	-20	2.62828258801305	-1.895024308	-0.1717175584	0.6417448291
-75	-25	2.68307986159767	-1.863016646	-0.4018927582	0.6331684019
-75	-30	2.73164092640582	-1.804439665	-0.6304688607	0.6174727471
-75	-35	2.77326873769264	-1.718908000	-0.8536961084	0.5945546068
-75	-40	2.80730796044815	-1.606602729	-1.067649573	0.5644625000
-75	-45	2.83316515877661	-1.468331835	-1.268331835	0.5274129255

-70	45	1.68771652350887	-0.6557332188	1.855733219	0.4206524904
-70	40	1.75525411238591	-0.7952009085	1.786802605	0.4714145781
-70	35	1.82529822085833	-0.9328674730	1.703304606	0.5215211098
-70	30	1.89733085948134	-1.067128383	1.604781994	0.5703880845
-70	25	1.97081079224401	-1.196255904	1.490977118	0.6173866587
-70	20	2.04517001259159	-1.318414836	1.361848874	0.6618488739
-70	15	2.11982984092049	-1.431696394	1.217596489	0.7030799890
-70	10	2.19419672369004	-1.534136711	1.058673185	0.7403652151
-70	5	2.26767158810972	-1.623749253	0.8858039838	0.7729815133
-70	-2.84217e-14	2.33964519943385	-1.698547329	0.7000000000	0.8002057864
-70	-5	2.40949981951615	-1.756576071	0.5025751754	0.8213265212
-70	-10	2.47660001757439	-1.795939538	0.2951639133	0.8356536517
-70	-15	2.54029489252072	-1.814845460	0.07973902837	0.8425348444
-70	-20	2.59991390127076	-1.811652323	-0.1413726376	0.8413726376
-70	-25	2.65476700483543	-1.784929747	-0.3654802394	0.8316464153
-70	-30	2.70414481839185	-1.733528261	-0.5895281429	0.8129378045
-70	-35	2.74732346667875	-1.656661519	-0.8101106528	0.7849605982
-70	-40	2.78357775315159	-1.554000278	-1.023510876	0.7475949623
-70	-45	2.81219673752448	-1.425767238	-1.225767238	0.7009219526

-65	45	1.68802783717737	-0.6335831669	1.833583167	0.5285985119
-65	40	1.75400718567417	-0.7653412550	1.761747380	0.5900383174
-65	35	1.82194069290316	-0.8941971673	1.676227366	0.6501248161
-65	30	1.89134065906787	-1.018781156	1.576868709	0.7082192842
-65	25	1.96172721151985	-1.137683480	1.463664348	0.7636643481
-65	20	2.03263035872208	-1.249463348	1.336752584	0.8157881567
-65	15	2.10359465334923	-1.352657930	1.196418196	0.8639085806
-65	10	2.17417351518227	-1.445781223	1.043093728	0.9073326852
-65	5	2.24392678081204	-1.527325235	0.8773679753	0.9453572825
-65	-2.84217e-14	2.31241288684260	-1.595757806	0.7000000000	0.9772679147
-65	-5	2.37917544141536	-1.649518626	0.5119414882	1.002336997
-65	-10	2.44373455527265	-1.687025450	0.3143684056	1.019826716
-65	-15	2.50557813692972	-1.706689010	0.1087194617	1.028995985
-65	-20	2.56415070529269	-1.706937261	-0.1032594719	1.029111746
-65	-25	2.61884412899194	-1.686255938	-0.3194678867	1.019467887
-65	-30	2.66899150412116	-1.643249014	-0.5374053952	0.9994134286
-65	-35	2.71386583447809	-1.576721857	-0.7541362989	0.9683913057
-65	-40	2.75268504183936	-1.485787729	-0.9662737508	0.9259880254
-65	-45	2.78462506143174	-1.369995285	-1.169995285	0.8719931219

-60	45	1.68848549607359	-0.6053732279	1.805373228	0.6381875307
-60	40	1.75252698439900	-0.7277905000	1.730238556	0.7088651757
-60	35	1.81788654906931	-0.8461676043	1.642596704	0.7772102287
-60	30	1.88412614047237	-0.9594378328	1.542606826	0.8426068257
-60	25	1.95084885559298	-1.066567327	1.430502342	0.9044580679
-60	20	2.01770298889301	-1.166551517	1.306575146	0.9621839668
-60	15	2.08436965760724	-1.258395135	1.171160556	1.015209904
-60	10	2.15055714306132	-1.341095118	1.024634743	1.062956762
-60	5	2.21598972557084	-1.413618503	0.8674199253	1.104828158
-60	-2.84217e-14	2.28039605229512	-1.474880912	0.7000000000	1.140198026
-60	-5	2.34349071961001	-1.523722019	0.5229472652	1.168396453
-60	-10	2.40495811809347	-1.558888165	0.3369624663	1.188699636
-60	-15	2.46443830272094	-1.579024853	0.1429269696	1.200325559
-60	-20	2.52151236790604	-1.582680297	-0.05803363577	1.202436030
-60	-25	2.57568473258010	-1.568321969	-0.2644743737	1.194146246
-60	-30	2.62636770412680	-1.534375676	-0.4745473441	1.174547344
-60	-35	2.67286995769985	-1.479293454	-0.6859161972	1.142745609
-60	-40	2.71438926342522	-1.401654799	-0.8956778408	1.097920910
-60	-45	2.75001571754521	-1.300307884	-1.100307884	1.039408241

-55	45	1.68914845994952	-0.5703918833	1.770391883	0.7494964656
-55	40	1.75085256533089	-0.6819355042	1.691761646	0.8276001497
-55	35	1.81317881186342	-0.7883809953	1.602134085	0.9021340850
-55	30	1.87576494702389	-0.8890272780	1.501955273	0.9726073708
-55	25	1.93832063116662	-0.9832541717	1.391652779	1.038585752
-55	20	2.00062106741802	-1.070496711	1.271614056	1.099673636
-55	15	2.06249442461332	-1.150213453	1.142173362	1.155491899
-55	10	2.12380217304308	-1.221848563	1.003608358	1.205651343
-55	5	2.18442612714172	-1.284799552	0.8561497275	1.249730101
-55	-2.84217e-14	2.24425621380732	-1.338387065	0.7000000000	1.287252481
-55	-5	2.30317026028957	-1.381820218	0.5353620642	1.317664702
-55	-10	2.36101400047116	-1.414165366	0.3624810005	1.340313019
-55	-15	2.41758697364030	-1.434325009	0.1816991758	1.354428953
-55	-20	2.47262267726795	-1.441020139	-0.006473554862	1.359116933
-55	-25	2.52576562908272	-1.432782609	-0.2012713320	1.353348952
-55	-30	2.57654758417639	-1.407965539	-0.4015644173	1.335971853
-55	-35	2.62436398325280	-1.364780604	-0.6057334364	1.305733436
-55	-40	2.66845249987242	-1.301373121	-0.8115315218	1.261335039
-55	-45	2.70787474741931	-1.215945768	-1.015945768	1.201518162

-50	45	1.69009748828058	-0.5277827647	1.727782765	0.8624121388
-50	40	1.74904254372100	-0.6270838505	1.645735643	0.9457356432
-50	35	1.80788379624324	-0.7204351688	1.554557905	1.024066700
-50	30	1.86636129347482	-0.8075408745	1.454909076	1.097157066
-50	25	1.92431365924414	-0.8882003908	1.347328473	1.164838436
-50	20	1.98165282209742	-0.9622603743	1.232219251	1.226982141
-50	15	2.03834535350182	-1.029573508	1.109847986	1.283464566
-50	10	2.09439801891572	-1.089963035	0.9803533813	1.334137396
-50	5	2.14983540285764	-1.143183249	0.8437599064	1.378794458
-50	-2.84217e-14	2.20468802385391	-1.188889009	0.7000000000	1.417146145
-50	-5	2.25897829550951	-1.226604414	0.5489416874	1.448793127
-50	-10	2.31270095957153	-1.255687793	0.3904248723	1.473196980
-50	-15	2.36580987443551	-1.275302748	0.2243090622	1.489655881
-50	-20	2.41819676782291	-1.284385878	0.05053665395	1.497277532
-50	-25	2.46966660189280	-1.281618150	-0.1307821873	1.494955133
-50	-30	2.51990887702242	-1.265405159	-0.3192571440	1.481350818
-50	-35	2.56846313178489	-1.233874015	-0.5140716554	1.454893046
-50	-40	2.61468013724412	-1.184901129	-0.7137999160	1.413799916
-50	-45	2.65768108059525	-1.116190088	-0.9161900882	1.356144507

-45	45	1.69144326666043	-0.4765552253	1.676555225	0.9765552253
-45	40	1.74718137643097	-0.5624966417	1.591540540	1.062496642
-45	35	1.80209102493139	-0.6419621495	1.499610505	1.141962149
-45	30	1.85604958023765	-0.7150696707	1.401520801	1.215069671
-45	25	1.90903285841361	-0.7819975273	1.297805265	1.281997527
-45	20	1.96109146364574	-0.8429379390	1.188789436	1.342937939
-45	15	2.01232250846304	-0.8980542020	1.074607494	1.398054202
-45	10	2.06285410392694	-0.9474507670	0.9552246235	1.447450767
-45	5	2.11282917064098	-0.9911451534	0.8304582966	1.491145153
-45	-2.84217e-14	2.16239517165626	-1.029044289	0.7000000000	1.529044289
-45	-5	2.21169332841590	-1.060919280	0.5634372583	1.560919280
-45	-10	2.26084476473398	-1.086375635	0.4202791740	1.586375635
-45	-15	2.30994081977018	-1.104823509	0.2699888368	1.604823509
-45	-20	2.35902478012314	-1.115439124	0.1120282436	1.615439124
-45	-25	2.40806937500894	-1.117121974	-0.05407636062	1.617121974
-45	-30	2.45694953279363	-1.108451030	-0.2286396354	1.608451030
-45	-35	2.50540152552829	-1.087641064	-0.4116782407	1.587641064
-45	-40	2.55297075444414	-1.052513603	-0.6027135913	1.552513603
-45	-45	2.59894645459751	-1.000502435	-0.8005024352	1.500502435


### -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	2.85949819994973	-1.521970568	-1.321970568	2.476199784e-16
-40	-90	2.87246429118832	-1.346384456	-1.500435308	2.694756057e-16
-35	-90	2.87613783896034	-1.149684892	-1.655994190	2.885260744e-16
-30	-90	2.87046294862520	-0.9352314743	-1.785893834	3.044341927e-16
-25	-90	2.85552106629252	-0.7067953494	-1.887980978	3.169362621e-16
-20	-90	2.83151417990830	-0.4684348856	-1.960752981	3.258482621e-16
-15	-90	2.79876210681611	-0.2243729360	-2.003396601	3.310705994e-16
-10	-90	2.75770431605008	0.02112967097	-2.015808591	3.325906298e-16
-5	-90	2.70888647103196	0.2639049876	-1.998578340	3.304805327e-16
-2.84217e-14	-90	2.65295262512148	0.5000000000	-1.952952625	3.248929941e-16
5	-90	2.59063816326810	0.7257889933	-1.880780003	3.160543970e-16
10	-90	2.52276083437106	0.9380728216	-1.784434429	3.042554671e-16
15	-90	2.45020931022405	1.134160834	-1.666720453	2.898396627e-16
20	-90	2.37392050717714	1.311928632	-1.530755583	2.731887684e-16
25	-90	2.29486335931508	1.469851164	-1.379852533	2.547084747e-16
30	-90	2.21401389687130	1.607006948	-1.217392279	2.348128317e-16
35	-90	2.13233861494949	1.723059184	-1.046709536	2.139102242e-16
40	-90	2.05077817752384	1.818214803	-0.8709872270	1.923904479e-16
45	-90	1.97021601371395	1.893153104	-0.6931531037	1.706120489e-16

-45	-85	2.85660755733976	-1.516072370	-1.316072370	0.1763834773
-40	-85	2.86903367257418	-1.340051440	-1.492887914	0.1918528329
-35	-85	2.87220335414077	-1.143213722	-1.646752402	0.2053142313
-30	-85	2.86609055343394	-0.9289495612	-1.775013241	0.2165356007
-25	-85	2.85080129188229	-0.7010310610	-1.875619422	0.2253375010
-20	-85	2.82655712740833	-0.4634889008	-1.947163999	0.2315968404
-15	-85	2.79369014755515	-0.2204920862	-1.988913072	0.2352494110
-10	-85	2.75264627345940	0.02377235139	-2.000821206	0.2362912377
-5	-85	2.70397001595692	0.2652234936	-1.983507748	0.2347765064
-2.84217e-14	-85	2.64829645245046	0.5000000000	-1.938218885	0.2308142443
5	-85	2.58634478743075	0.7245635085	-1.866772647	0.2245635085
10	-85	2.51891215495490	0.9357899612	-1.771487684	0.2162271544
15	-85	2.44686068294571	1.131044842	-1.655091413	0.2060438002
20	-85	2.37110032234918	1.308237280	-1.520613675	0.1942785226
25	-85	2.29257266606581	1.465851597	-1.371275435	0.1812131196
30	-85	2.21222831740701	1.602952829	-1.210370338	0.1671357477
35	-85	2.13101315882978	1.719172055	-1.041158140	0.1523315986
40	-85	2.04985168122012	1.814670014	-0.8667627119	0.1370739757
45	-85	1.96961765624667	1.890072545	-0.6900725449	0.1216155892

-45	-80	2.84788227746050	-1.498284502	-1.298284502	0.3523514729
-40	-80	2.85870294805770	-1.321001774	-1.470185406	0.3826622402
-35	-80	2.86038512047944	-1.123798679	-1.619024847	0.4089066494
-30	-80	2.85298702260341	-0.9101470666	-1.742446365	0.4306691932
-25	-80	2.83668562565348	-0.6838142484	-1.838697848	0.4476409265
-20	-80	2.81175588837569	-0.4487418473	-1.906646802	0.4596221604
-15	-80	2.77856728852836	-0.2089370446	-1.945789070	0.4665239983
-10	-80	2.73758124437818	0.03163305664	-1.956240931	0.4683669434
-5	-80	2.68933645242873	0.2691433712	-1.938703341	0.4652745932
-2.84217e-14	-80	2.63444071845438	0.5000000000	-1.894417644	0.4574658299
5	-80	2.57356655625348	0.7209187692	-1.825113087	0.4452455666
10	-80	2.50744989420614	0.9289942609	-1.732947353	0.4289942609
15	-80	2.43687716765732	1.121756581	-1.620427150	0.4091539134
20	-80	2.36267982815405	1.297214735	-1.490329482	0.3862141844
25	-80	2.28572064511873	1.453883872	-1.345610564	0.3606963345
30	-80	2.20687586083548	1.590793437	-1.189309654	0.3331362670
35	-80	2.12703069650406	1.707484129	-1.024466052	0.3040698922
40	-80	2.04706063604246	1.803983351	-0.8540268429	0.2740168611
45	-80	1.96781022503910	1.880760963	-0.6807609632	0.2434654117

-45	-75	2.83316515962414	-1.468331835	-1.268331835	0.5274129257
-40	-75	2.84136229318610	-1.289092225	-1.432157086	0.5713097694
-35	-75	2.84064344480977	-1.091442115	-1.572814884	0.6089989128
-30	-75	2.83119722014932	-0.8789585972	-1.688426352	0.6399769122
-25	-75	2.81330410170027	-0.6553735171	-1.777706503	0.6638994566
-20	-75	2.78732125607441	-0.4244656153	-1.839948403	0.6805771234
-15	-75	2.75367114326481	-0.1899675714	-1.874994032	0.6899675714
-10	-75	2.71283196455265	0.04451302294	-1.883195012	0.6921650174
-5	-75	2.66532677203571	0.2755597364	-1.865363952	0.6873871993
-2.84217e-14	-75	2.61171759973903	0.5000000000	-1.822725481	0.6759622552
5	-75	2.55260320543144	0.7149481041	-1.756868072	0.6583158158
10	-75	2.48862054206507	0.9178416734	-1.669697886	0.6349586348
15	-75	2.42044343804435	1.106473102	-1.563388431	0.6064731022
20	-75	2.34878011772161	1.279015498	-1.440327490	0.5734990226
25	-75	2.27436949587635	1.434042744	-1.303061129	0.5367186120
30	-75	2.19797270147824	1.570541230	-1.154231801	0.4968399137
35	-75	2.12037735173395	1.687920231	-0.9965259102	0.4545827476
40	-75	2.04237766103639	1.786003549	-0.8325993497	0.4106587581
45	-75	1.96476483364273	1.865013670	-0.6650136695	0.3657543104

-45	-70	2.81219671577130	-1.425767223	-1.225767223	0.7009219472
-40	-70	2.81683839015931	-1.244104901	-1.378543281	0.7565278850
-35	-70	2.81292369413803	-1.046168876	-1.508157998	0.8037037838
-30	-70	2.80080291721858	-0.8356215835	-1.613364442	0.8419957980
-25	-70	2.78088124909706	-0.6160956927	-1.693474937	0.8711536335
-20	-70	2.75360973674416	-0.3911110041	-1.748307362	0.8911110041
-15	-70	2.71946252430404	-0.1640081325	-1.778112087	0.9019590369
-10	-70	2.67892661644860	0.06209070488	-1.783507024	0.9039226333
-5	-70	2.63249492832871	0.2843038438	-1.765418347	0.8973388934
-2.84217e-14	-70	2.58066387703831	0.5000000000	-1.725030802	0.8826390291
5	-70	2.52393515560058	0.7068012005	-1.663748539	0.8603341093
10	-70	2.46282334062697	0.9025840896	-1.583167828	0.8310051294
15	-70	2.39785980003331	1.085482754	-1.485051385	0.7952936643
20	-70	2.32960067514201	1.253895067	-1.371309673	0.7538950669
25	-70	2.25862798365748	1.406491410	-1.243977102	0.7075498011
30	-70	2.18555549654573	1.542227954	-1.105191769	0.6570360710
35	-70	2.11103865696397	1.660366445	-0.9571750255	0.6031623823
40	-70	2.03575949466425	1.760483428	-0.8021856541	0.5467508644
45	-70	1.96043103984367	1.842485687	-0.6424856866	0.4886248299

-45	-65	2.78462498156936	-1.369995231	-1.169995231	0.8719930969
-40	-65	2.78491039390491	-1.185780617	-1.309035106	0.9368284556
-35	-65	2.77717566650270	-0.9880588030	-1.425168213	0.9909822128
-30	-65	2.76194006973787	-0.7804984722	-1.517888413	1.034218352
-25	-65	2.73974357351441	-0.5665318184	-1.587184866	1.066531818
-20	-65	2.71111544605256	-0.3492984274	-1.633428252	1.088095463
-15	-65	2.67656472543579	-0.1316309231	-1.657278697	1.099217109
-10	-65	2.63656894393130	0.08393832781	-1.659602997	1.100300948
-5	-65	2.59157205183312	0.2951529026	-1.641413037	1.091818830
-2.84217e-14	-65	2.54198554636015	0.5000000000	-1.603821295	1.074289513
5	-65	2.48819888099710	0.6966761133	-1.548018261	1.048268131
10	-65	2.43058984031884	0.8835573030	-1.475261559	1.014341124
15	-65	2.36953448633045	1.059176186	-1.386873937	0.9731252984
20	-65	2.30541958568457	1.222207987	-1.284250136	0.9252710342
25	-65	2.23865428899815	1.371466970	-1.168866947	0.8714669697
30	-65	2.16968269553649	1.505914432	-1.042294905	0.8124454567
35	-65	2.09899897298208	1.624679989	-0.9062094851	0.7489877835
40	-65	2.02714963798566	1.727087800	-0.7623862935	0.6819219278
45	-65	1.95474186223771	1.812693086	-0.6126930858	0.6121188387

-45	-60	2.75001563889054	-1.300307833	-1.100307833	1.039408212
-40	-60	2.74533202684087	-1.113867819	-1.223332771	1.110436693
-35	-60	2.73337202784413	-0.9172872703	-1.324095990	1.168612365
-30	-60	2.71482214675628	-0.7141053734	-1.402892192	1.214105373
-25	-60	2.69032431443598	-0.5074015758	-1.460379651	1.247295773
-20	-60	2.66045993470079	-0.2998049674	-1.497446088	1.268696090
-15	-60	2.62574124412236	-0.09353469325	-1.515101631	1.278889523
-10	-60	2.58660738419303	0.1095418218	-1.514398367	1.278483493
-5	-60	2.54343052215739	0.3078416415	-1.496380088	1.268080635
-2.84217e-14	-60	2.49652401678035	0.5000000000	-1.462053220	1.248262008
5	-60	2.44615591468797	0.6848091784	-1.412378575	1.219582339
10	-60	2.39256397426936	0.8611665907	-1.348277520	1.182573577
15	-60	2.33596935995789	1.028033317	-1.270647165	1.137753671
20	-60	2.27658987171313	1.184403424	-1.180382953	1.085639604
25	-60	2.21465756891798	1.329286459	-1.078410551	1.026765810
30	-60	2.15043923817171	1.461705664	-0.9657230713	0.9617056636
35	-60	2.08425372532692	1.580711386	-0.8434158120	0.8910915345
40	-60	2.01648921879385	1.685411100	-0.7127179372	0.8156330813
45	-60	1.94761615084952	1.775014062	-0.5750140623	0.7361297121

-45	-55	2.70787473255818	-1.215945758	-1.015945758	1.201518155
-40	-55	2.69785908387135	-1.028188734	-1.121224414	1.275235063
-35	-55	2.68154838915763	-0.8341851265	-1.205413829	1.334185126
-30	-55	2.65975348509092	-0.6371378569	-1.269580543	1.379115144
-25	-55	2.63317332833097	-0.4395977226	-1.314973819	1.410899857
-20	-55	2.60239133404153	-0.2435508352	-1.342889130	1.430446369
-15	-55	2.56787820834893	-0.05052141093	-1.354573876	1.438628116
-10	-55	2.53000321034460	0.1383231306	-1.351171454	1.436245714
-5	-55	2.48904687891109	0.3220750123	-1.333691916	1.424006410
-2.84217e-14	-55	2.44521520866438	0.5000000000	-1.303003037	1.402517825
5	-55	2.39865600540318	0.6714635606	-1.259837466	1.372292967
10	-55	2.34947354166260	0.8358692321	-1.204809070	1.333761669
15	-55	2.29774399965540	0.9926079689	-1.138437968	1.287288124
20	-55	2.24353047349618	1.141017719	-1.061181709	1.233192709
25	-55	2.18690019983170	1.280353661	-0.9734738269	1.171778989
30	-55	2.12794827344756	1.409772486	-0.8757721684	1.103367551
35	-55	2.06681740748537	1.528330145	-0.7686076471	1.028330145
40	-55	2.00372003913364	1.634997157	-0.6526369390	0.9471265812
45	-55	1.93896506580966	1.728697487	-0.5286974874	0.8603432428

-45	-50	2.65768068682246	-1.116189849	-0.9161898488	1.356144306
-40	-50	2.64228729530814	-0.9287275537	-1.002691195	1.428727554
-35	-50	2.62182592897457	-0.7392954006	-1.069897256	1.485120135
-30	-50	2.59715606180408	-0.5505022202	-1.119523219	1.526761262
-25	-50	2.56896059664397	-0.3641841381	-1.153248865	1.555060439
-20	-50	2.53776339254454	-0.1815757619	-1.172614015	1.571309730
-15	-50	2.50395031514256	-0.003466692905	-1.178963278	1.576637393
-10	-50	2.46779143371290	0.1696646642	-1.173424784	1.571990046
-5	-50	2.42946068437620	0.3375414973	-1.156909183	1.558131810
-2.84217e-14	-50	2.38905346974524	0.5000000000	-1.130121135	1.535653969
5	-50	2.34660370099106	0.6569178403	-1.093579122	1.504991580
10	-50	2.30210018845478	0.8081561223	-1.047640214	1.466444259
15	-50	2.25549503286473	0.9535100470	-0.9925225371	1.420195037
20	-50	2.20671944929686	1.092666162	-0.9283368974	1.366336890
25	-50	2.15570236650593	1.225166355	-0.8551242664	1.304904198
30	-50	2.10238363830994	1.350375806	-0.7728941018	1.235904898
35	-50	2.04673706057914	1.467460043	-0.6816761317	1.159363932
40	-50	1.98880009163108	1.575376434	-0.5815837288	1.075376434
45	-50	1.92870160269853	1.672882795	-0.4728827948	0.9841655205

-45	-45	2.59894643693379	-1.000502425	-0.8005024250	1.500502425
-40	-45	2.57851923200756	-0.8157503050	-0.8680501530	1.568050153
-35	-45	2.55446499244785	-0.6334483194	-0.9187319582	1.618731958
-30	-45	2.52758800240172	-0.4553384673	-0.9546947638	1.654694764
-25	-45	2.49847217205507	-0.2823855999	-0.9778313335	1.677831334
-20	-45	2.46752125078737	-0.1150138040	-0.9897365392	1.689736539
-15	-45	2.43499577782658	0.04670900746	-0.9917050148	1.691705015
-10	-45	2.40104543942769	0.2029329815	-0.9847507811	1.684750781
-5	-45	2.36573143157700	0.3539260547	-0.9696328352	1.669632835
-2.84217e-14	-45	2.32904442505312	0.5000000000	-0.9468831066	1.646883107
5	-45	2.29091978160970	0.6414546412	-0.9168339479	1.616833948
10	-45	2.25125157532243	0.7785339179	-0.8796443448	1.579644345
15	-45	2.20989736980115	0.9113873959	-0.8353186633	1.535318663
20	-45	2.16668822456837	1.040033107	-0.7837287667	1.483728767
25	-45	2.12144151579311	1.164320104	-0.7246390603	1.424639060
30	-45	2.07397147266537	1.283887535	-0.6577330375	1.357733038
35	-45	2.02410838336532	1.398122406	-0.5826517242	1.282651724
40	-45	1.97172036128813	1.506116858	-0.4990433795	1.199043380
45	-45	1.91675213211310	1.606637359	-0.4066373594	1.106637359