path: root/test/Kerr-modification-radius/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	2.80364114358697	-1.118682969	-0.9186829690	1.618682969
-40	-45	2.78494879934206	-0.9210858646	-0.9935841846	1.693584185
-35	-45	2.76295860963048	-0.7259595657	-1.050851710	1.750851710
-30	-45	2.73841656034861	-0.5350241721	-1.092714453	1.792714453
-25	-45	2.71186078115297	-0.3492073067	-1.121130946	1.821130946
-20	-45	2.68366060227768	-0.1688851475	-1.137746839	1.837746839
-15	-45	2.65405198132154	0.005930208244	-1.143893565	1.843893565
-10	-45	2.62316669215883	0.1754512449	-1.140607454	1.840607454
-5	-45	2.59105464680011	0.3400132958	-1.128656397	1.828656397
0	-45	2.55770096639851	0.5000000000	-1.108567698	1.808567698
5	-45	2.52303916603740	0.6557870349	-1.080653958	1.780653958
10	-45	2.48696187525015	0.8076969462	-1.045036097	1.745036097
15	-45	2.44932734321243	0.9559589107	-1.001661821	1.701661821
20	-45	2.40996752993758	1.100668909	-0.9503242646	1.650324265
25	-45	2.36869791280830	1.241747360	-0.8906823467	1.590682347
30	-45	2.32532557955594	1.378890457	-0.8222829262	1.522282926
35	-45	2.27966458120571	1.511515913	-0.7445944346	1.444594435
40	-45	2.23155894043005	1.638705626	-0.6570565209	1.357056521
45	-45	2.18090907299637	1.759148440	-0.5591484404	1.259148440

-45	-40	2.75968245064811	-1.178219202	-0.7081931138	1.678219202
-40	-40	2.73970154040749	-0.9814010144	-0.7814010144	1.765464981
-35	-40	2.71628473873523	-0.7839445770	-0.8386258534	1.833662888
-30	-40	2.69014917546382	-0.5881162372	-0.8814280898	1.884672607
-25	-40	2.66183870925604	-0.3954278215	-0.9112820402	1.920251160
-20	-40	2.63175000911652	-0.2068180678	-0.9295035256	1.941966681
-15	-40	2.60015886390058	-0.02281124602	-0.9372160697	1.951158133
-10	-40	2.56724295001571	0.1563522142	-0.9353409397	1.948923440
-5	-40	2.53310195138166	0.3306109859	-0.9246020176	1.936125291
0	-40	2.49777423276823	0.5000000000	-0.9055383286	1.913406071
5	-40	2.46125084224412	0.6645843167	-0.8785203915	1.881207348
10	-40	2.42348873565314	0.8244050346	-0.8437691030	1.839792375
15	-40	2.38441833653732	0.9794325219	-0.8013728860	1.789266531
20	-40	2.34395415557681	1.129523755	-0.7513086529	1.729602301
25	-40	2.30200634953467	1.274382206	-0.6934659055	1.660667999
30	-40	2.25849275117242	1.413519093	-0.6276750263	1.582261482
35	-40	2.21335239739705	1.546216461	-0.5537423536	1.494151954
40	-40	2.16656760992411	1.671498212	-0.4714982117	1.396137203
45	-40	2.11818318643848	1.788110412	-0.3808529714	1.288110412

-45	-35	2.71442177820830	-1.220094538	-0.5044231618	1.720094538
-40	-35	2.69261475673181	-1.025218111	-0.5727561531	1.817684163
-35	-35	2.66737634351308	-0.8271339271	-0.6271339271	1.895343673
-30	-35	2.63938529770717	-0.6284297427	-0.6685539860	1.954497647
-25	-35	2.60918128013785	-0.4310366174	-0.6980445023	1.996614469
-20	-35	2.57717902469938	-0.2363472170	-0.7165880161	2.023097352
-15	-35	2.54368650295991	-0.04533500772	-0.7250749547	2.035217956
-10	-35	2.50892303001553	0.1413366499	-0.7242788052	2.034080937
-5	-35	2.47303614920864	0.3232195101	-0.7148465255	2.020610245
0	-35	2.43611710123737	0.5000000000	-0.6972993655	1.995550304
5	-35	2.39821478362905	0.6714320207	-0.6720405401	1.959476963
10	-35	2.35934868430120	0.8372809341	-0.6393676430	1.912815230
15	-35	2.31951756144626	0.9972759520	-0.5994865444	1.855859118
20	-35	2.27871145099116	1.151069568	-0.5525305005	1.788798938
25	-35	2.23692212351087	1.298203031	-0.4985816013	1.711751925
30	-35	2.19415498852441	1.438078177	-0.4376965531	1.624799065
35	-35	2.15044103646851	1.569936481	-0.3699364807	1.528027652
40	-35	2.10585211203740	1.692849357	-0.2954027870	1.421582506
45	-35	2.06051510394201	1.805722200	-0.2142765270	1.305722200

-45	-30	2.66850590541441	-1.246947186	-0.3086004283	1.746947186
-40	-30	2.64441896550857	-1.054545180	-0.3696192020	1.852634803
-35	-30	2.61701387119941	-0.8569541241	-0.4188651736	1.937931328
-30	-30	2.58693462323038	-0.6569123342	-0.4569123342	2.003830943
-25	-30	2.55471483931950	-0.4566221221	-0.4844241244	2.051482761
-20	-30	2.52078337334469	-0.2578144806	-0.5020883940	2.082078174
-15	-30	2.48547648651950	-0.06182859880	-0.5105723843	2.096772876
-10	-30	2.44905185689202	0.1303063495	-0.5104938664	2.096636879
-5	-30	2.41170183139384	0.3177938572	-0.5024045331	2.082625743
0	-30	2.37356704118585	0.5000000000	-0.4867835206	2.055569355
5	-30	2.33474960843706	0.6763923364	-0.4640383883	2.016173631
10	-30	2.29532508164904	0.8464880117	-0.4345112701	1.965031162
15	-30	2.25535099374453	1.009809968	-0.3984878130	1.902636704
20	-30	2.21487697392524	1.165850886	-0.3562105148	1.829410275
25	-30	2.17395644066777	1.314045776	-0.3078958380	1.745726800
30	-30	2.13265454871424	1.453752109	-0.2537521087	1.651947110
35	-30	2.09105774237857	1.584239353	-0.1940004903	1.548454271
40	-30	2.04928353345517	1.704689529	-0.1288977830	1.435693074
45	-30	2.00748960245257	1.814210437	-0.05875974966	1.314210437

-45	-25	2.62234077621028	-1.261014419	-0.1211745099	1.761014419
-40	-25	2.59562166420465	-1.071199095	-0.1731527737	1.872482166
-35	-25	2.56578217870067	-0.8747905124	-0.2155504751	1.963404330
-30	-25	2.53344055202572	-0.6745608791	-0.2486558890	2.034399119
-25	-25	2.49912678645970	-0.4728641256	-0.2728641256	2.086313850
-20	-25	2.46328344061202	-0.2716612568	-0.2886290681	2.120121878
-15	-25	2.42627339981712	-0.07256575668	-0.2964269521	2.136844495
-10	-25	2.38838891664311	0.1231021803	-0.2967297062	2.137493753
-5	-25	2.34986246704395	0.3142584902	-0.2899875589	2.123035171
0	-25	2.31087804246081	0.5000000000	-0.2766192614	2.094366765
5	-25	2.27158219347785	0.6795539578	-0.2570083961	2.052311128
10	-25	2.23209547824692	0.8522340576	-0.2315048545	1.997618607
15	-25	2.19251962671518	1.017403216	-0.2004284716	1.930975089
20	-25	2.15294599769555	1.174443301	-0.1640763626	1.853017739
25	-25	2.11346579973115	1.322733392	-0.1227333917	1.764357452
30	-25	2.07417607927890	1.461635384	-0.07668266220	1.665601344
35	-25	2.03518607085905	1.590487932	-0.02621736546	1.557378166
40	-25	1.99662394109189	1.708609780	0.02834674779	1.440365048
45	-25	1.95864179386926	1.815312057	0.08665991478	1.315312057

-45	-20	2.57615332826302	-1.264126817	0.05791034923	1.764126817
-40	-20	2.54655475786243	-1.076753089	0.01606311118	1.879101158
-35	-20	2.51410289631150	-0.8819172048	-0.01832521265	1.973582302
-30	-20	2.47939996372191	-0.6823538476	-0.04537352779	2.047896937
-25	-20	2.44297655411482	-0.4804789795	-0.06529981361	2.102643957
-20	-20	2.40528929208605	-0.2783890824	-0.07838908239	2.138606427
-15	-20	2.36672476920280	-0.07788054814	-0.08496716701	2.156679566
-10	-20	2.32760499635802	0.1195193041	-0.08537979532	2.157813253
-5	-20	2.28819563116052	0.3125143578	-0.07997754654	2.142970697
0	-20	2.24871495950410	0.5000000000	-0.06910581275	2.113100854
5	-20	2.20934300675236	0.6810247721	-0.05309904206	2.069122613
10	-20	2.17023121913876	0.8547556762	-0.03227878156	2.011919417
15	-20	2.13150887628603	1.020448146	-0.006953552791	1.942338923
20	-20	2.09328978374410	1.177421181	0.02257881856	1.861199399
25	-20	2.05568100428216	1.325039442	0.05602644783	1.769302793
30	-20	2.01878755288384	1.462701164	0.09309880529	1.667447328
35	-20	1.98271598132775	1.589831817	0.1335017548	1.556441137
40	-20	1.94758048181033	1.705885533	0.1769316735	1.437118416
45	-20	1.91350547154853	1.810351476	0.2230710663	1.310351476

-45	-15	2.53004109717609	-1.257737426	0.2290156761	1.757737426
-40	-15	2.49741647740506	-1.072523297	0.1978470591	1.874060289
-35	-15	2.46226701457120	-0.8794604996	0.1721203262	1.970073763
-30	-15	2.42518713104268	-0.6812079428	0.1517994859	2.045912171
-25	-15	2.38671103171198	-0.4801793974	0.1367703953	2.102001501
-20	-15	2.34730780020488	-0.2785271773	0.1268604715	2.138985840
-15	-15	2.30738278612407	-0.07814430791	0.1218556921	2.157663931
-10	-15	2.26728036024894	0.1193215463	0.1215151655	2.158934794
-5	-15	2.22728975246094	0.3124456992	0.1255824535	2.143755468
0	-15	2.18765197786638	0.5000000000	0.1337940041	2.113109544
5	-15	2.14856722106855	0.6809252804	0.1458849774	2.067985418
10	-15	2.11020304089320	0.8543050276	0.1615926296	2.009363662
15	-15	2.07269965320754	1.019341443	0.1806585566	1.938208653
20	-15	2.03617567706945	1.175334569	0.2028292551	1.855466480
25	-15	2.00073610351046	1.321666420	0.2278549478	1.762069323
30	-15	1.96647590437658	1.457788753	0.2554886928	1.658938783
35	-15	1.93348283188320	1.583214443	0.2854851320	1.546990548
40	-15	1.90184263664401	1.697514263	0.3175984735	1.427141926
45	-15	1.87164153769231	1.800316577	0.3515812232	1.300316577

-45	-10	2.48400978449874	-1.242964692	0.3926682984	1.742964692
-40	-10	2.44830620227511	-1.059577899	0.3722729318	1.858632564
-35	-10	2.41046500948644	-0.8683856310	0.3554117264	1.954257211
-30	-10	2.37107779440113	-0.6719535945	0.3420768295	2.029883170
-25	-10	2.33068216465366	-0.4726473495	0.3322085485	2.085848972
-20	-10	2.28975484778235	-0.2726084093	0.3257064582	2.122724159
-15	-10	2.24871162879350	-0.07374711886	0.3224392533	2.141253398
-10	-10	2.20790859398743	0.1222536221	0.3222536221	2.142306166
-5	-10	2.16764610789517	0.3139260439	0.3249815972	2.126835050
0	-10	2.12817425829438	0.5000000000	0.3304464183	2.095842509
5	-10	2.08969906261516	0.6793828661	0.3384669979	2.050355542
10	-10	2.05238970209602	0.8511389820	0.3488610180	1.991408125
15	-10	2.01638262641640	1.014469578	0.3614475061	1.920026604
20	-10	1.98178741613764	1.168694129	0.3760481884	1.837222019
25	-10	1.94869432661851	1.313235026	0.3924878365	1.743988142
30	-10	1.91717729280121	1.447604007	0.4105948288	1.641298286
35	-10	1.88729674050979	1.571390678	0.4302013001	1.530104461
40	-10	1.85910566395062	1.684255508	0.4511425457	1.411340756
45	-10	1.83265080690543	1.785923135	0.4732570562	1.285923135

-45	-5	2.43800110400084	-1.220637703	0.5494637070	1.720637703
-40	-5	2.39925244434222	-1.038757790	0.5395615281	1.833820125
-35	-5	2.35881287769808	-0.8494983506	0.5313845529	1.927283379
-30	-5	2.31727177499328	-0.6553244478	0.5249281289	2.001080643
-25	-5	2.27516531187419	-0.4585179494	0.5201628198	2.055548376
-20	-5	2.23296910850497	-0.2611524745	0.5170393992	2.091249236
-15	-5	2.19109714934310	-0.06508348197	0.5154933845	2.108920265
-10	-5	2.14990320151998	0.1280512479	0.5154491213	2.109426196
-5	-5	2.10968380912843	0.3168233407	0.5168233407	2.093718796
0	-5	2.07068310031773	0.5000000000	0.5195280764	2.062803526
5	-5	2.03309884225463	0.6765270475	0.5234729525	2.017713385
10	-5	1.99708835921315	0.8455106828	0.5285669740	1.959488454
15	-5	1.96277279516557	1.006198680	0.5347199870	1.889159194
20	-5	1.93024387447348	1.157962484	0.5418434999	1.807737068
25	-5	1.89956979195618	1.300281075	0.5498512292	1.716208304
30	-5	1.87079931399487	1.432726238	0.5586595065	1.615529233
35	-5	1.84396439110884	1.554948838	0.5681875603	1.506623080
40	-5	1.81908733306881	1.666669565	0.5783572806	1.390382645
45	-5	1.79618079695356	1.767668171	0.5890934059	1.267668171

-45	0	2.39191346461786	-1.191338231	0.7000000000	1.691338231
-40	0	2.35023523243591	-1.010702087	0.7000000000	1.800384640
-35	0	2.30737417015173	-0.8234554538	0.7000000000	1.890090268
-30	0	2.26391328224198	-0.6319566411	0.7000000000	1.960606414
-25	0	2.22037687291982	-0.4383718144	0.7000000000	2.012344850
-20	0	2.17722607900495	-0.2446551756	0.7000000000	2.045923280
-15	0	2.13485757324509	-0.05254179854	0.7000000000	2.062114065
-10	0	2.09360579602095	0.1364491688	0.7000000000	2.061799220
-5	0	2.05374680695107	0.3210041716	0.7000000000	2.045931680
0	0	2.01550350228351	0.5000000000	0.7000000000	2.015503502
5	0	1.97905164947531	0.6724857164	0.7000000000	1.971520760
10	0	1.94452580141825	0.8376633618	0.7000000000	1.914984085
15	0	1.91202416964411	0.9948682698	0.7000000000	1.846873526
20	0	1.88161588246550	1.143550534	0.7000000000	1.768140560
25	0	1.85334557502890	1.283257685	0.7000000000	1.679701527
30	0	1.82723816073254	1.413619080	0.7000000000	1.582434666
35	0	1.80330212203428	1.534331605	0.7000000000	1.477178620
40	0	1.78153595880581	1.645149241	0.7000000000	1.364735721
45	0	1.76192823649469	1.745871404	0.7000000000	1.245871404

-45	5	2.34561786580295	-1.155437534	0.8448320174	1.655437534
-40	5	2.30120404575017	-0.9758745630	0.8538819566	1.758878813
-35	5	2.25617901308961	-0.7907805810	0.8612788520	1.843425714
-30	5	2.21110857707288	-0.6023945588	0.8670511504	1.909403386
-25	5	2.16648999231730	-0.4127334765	0.8712470954	1.957363257
-20	5	2.12275199325199	-0.2235827519	0.8739298491	1.988027272
-15	5	2.08025505863816	-0.03649733070	0.8751728901	2.002235296
-10	5	2.03929581143536	0.1471871237	0.8750561763	2.000901251
-5	5	2.00011263073011	0.3263370329	0.8736629671	1.984976797
0	5	1.96289222253915	0.5000000000	0.8710773296	1.955422825
5	5	1.92777665081771	0.6673822803	0.8673822803	1.913188219
10	5	1.89486962394074	0.8278261047	0.8626584182	1.859194228
15	5	1.86424272321317	0.9807877960	0.8569830509	1.794324482
20	5	1.83594092562233	1.125817425	0.8504296918	1.719419245
25	5	1.80998854143881	1.262540856	0.8430679493	1.635274144
30	5	1.78639234899350	1.390643375	0.8349634749	1.542639577
35	5	1.76514640837598	1.509856352	0.8261782796	1.442224336
40	5	1.74623570610711	1.619946258	0.8167711171	1.334699976
45	5	1.72963775713389	1.720704918	0.8067978418	1.220704918

-45	10	2.29896698484554	-1.113125000	0.9844374607	1.613125000
-40	10	2.25209052426111	-0.9345879630	1.001461894	1.709675359
-35	10	2.20523809140171	-0.7518813198	1.015250038	1.787871811
-30	10	2.15894007217186	-0.5671001955	1.025900178	1.848271755
-25	10	2.11364751469204	-0.3820737911	1.033542471	1.891613349
-20	10	2.06973483499935	-0.1983693211	1.038328089	1.918753940
-15	10	2.02750532823346	-0.01730747760	1.040420006	1.930617790
-10	10	1.98719894473058	0.1600143658	1.039985634	1.928154346
-5	10	1.94900009289026	0.3326949421	1.037191066	1.912305563
0	10	1.91304626315438	0.5000000000	1.032196997	1.883982792
5	10	1.87943698982622	0.6613336580	1.025156148	1.844052149
10	10	1.84824035170943	0.8162115046	1.016211505	1.793324557
15	10	1.81949899051816	0.9642357385	1.005495551	1.732551363
20	10	1.79323647048638	1.105073324	0.9931304329	1.662425295
25	10	1.76946259101975	1.238437495	0.9792286415	1.583584318
30	10	1.74817452705168	1.364070941	0.9638935639	1.496614771
35	10	1.72936312516691	1.481734081	0.9472212836	1.402061571
40	10	1.71301246307039	1.591193730	0.9293016093	1.300434048
45	10	1.69910362930522	1.692216574	0.9102199488	1.192216574

-45	15	2.25180631580820	-1.064434761	1.119189031	1.564434761
-40	15	2.20282161542498	-0.8870286918	1.142919058	1.652996426
-35	15	2.15455614311605	-0.7070685575	1.161910259	1.723872554
-30	15	2.10748039916234	-0.5264661869	1.176384615	1.777891588
-25	15	2.06197406607074	-0.3468157522	1.186596334	1.816002241
-20	15	2.01833397193848	-0.1694170444	1.192814356	1.839208214
-15	15	1.97678549652254	0.004691076985	1.195308923	1.848518066
-10	15	1.93749406171319	0.1746929685	1.194341569	1.844907853
-5	15	1.90057631022207	0.3399573919	1.190158220	1.829295382
0	15	1.86611089096012	0.5000000000	1.182985039	1.802524704
5	15	1.83414830418383	0.6544488778	1.173026452	1.765358752
10	15	1.80471834007313	0.8030138659	1.160464532	1.718477029
15	15	1.77783600703929	0.9454595805	1.145459580	1.662477787
20	15	1.75350804302288	1.081582725	1.128152104	1.597885405
25	15	1.73173556436409	1.211192725	1.108664779	1.525157720
30	15	1.71251696923521	1.334095901	1.087105255	1.444696480
35	15	1.69585070446985	1.450083418	1.063569471	1.356859739
40	15	1.68173475202555	1.558921129	1.038144662	1.261973060
45	15	1.67016801902287	1.660343537	1.010913114	1.160343537

-45	20	2.20398423832548	-1.009268744	1.249328898	1.509268744
-40	20	2.15333250690879	-0.8332812386	1.278327849	1.588942706
-35	20	2.10414480408741	-0.6565771276	1.301192682	1.651763319
-30	20	2.05680304183192	-0.4808296467	1.318329661	1.698846782
-25	20	2.01158698132385	-0.3073424804	1.330160424	1.731351536
-20	20	1.96869142691293	-0.1370992123	1.337099212	1.750415700
-15	20	1.92824472399664	0.02918263562	1.339537312	1.757114325
-10	20	1.89032355455080	0.1909992792	1.337832419	1.752430170
-5	20	1.85496686238501	0.3480113987	1.332302799	1.737237662
0	20	1.82218821823155	0.5000000000	1.323225076	1.712296822
5	20	1.79198642042958	0.6468282346	1.310834647	1.678254401
10	20	1.76435328331761	0.7884090583	1.295327567	1.635649049
15	20	1.73927866398170	0.9246777322	1.276863294	1.584918873
20	20	1.71675663606167	1.055569190	1.255569190	1.526413803
25	20	1.69678692235605	1.180998722	1.231544485	1.460406471
30	20	1.67937760280552	1.300846414	1.204865543	1.387106678
35	20	1.66454605832950	1.414944587	1.175591275	1.306676288
40	20	1.65231742101074	1.523067181	1.143768520	1.219243988
45	20	1.64272359675706	1.624922464	1.109438293	1.124922464

-45	25	2.15536096591192	-0.9474174274	1.374941831	1.447417427
-40	25	2.10357686838755	-0.7733512426	1.407631625	1.517520918
-35	25	2.05403586902072	-0.6005879799	1.432943557	1.571802530
-30	25	2.00699452790365	-0.4304884834	1.451526290	1.611653329
-25	25	1.96260453057314	-0.2640058723	1.464005872	1.638415881
-20	25	1.92093786630806	-0.1017632009	1.470960817	1.653330806
-15	25	1.88200980504261	0.05587265303	1.472907659	1.657505824
-10	25	1.84579897095237	0.2087251565	1.470294425	1.651901724
-5	25	1.81226178884265	0.3567523651	1.463498566	1.637327959
0	25	1.78134517753521	0.5000000000	1.452829002	1.614447006
5	25	1.75299694375045	0.6385631302	1.438530527	1.583783825
10	25	1.72717245289961	0.7725550798	1.420788846	1.545736669
15	25	1.70383998555827	0.9020818225	1.399736511	1.500589791
20	25	1.68298543772871	1.027220959	1.375459550	1.448527680
25	25	1.66461215950756	1.148002919	1.348002919	1.389646745
30	25	1.64874484244819	1.264395750	1.317378412	1.323972277
35	25	1.63542832086204	1.376290808	1.283571430	1.251472971
40	25	1.62472571444350	1.483489854	1.246548745	1.172077567
45	25	1.61671675890213	1.585694716	1.206267761	1.085694716

-45	30	2.10582206092367	-0.8785841420	1.495925926	1.378584142
-40	30	2.05353981098749	-0.7071916198	1.530619370	1.438674950
-35	30	2.00428784983704	-0.5392480887	1.556903319	1.484200086
-30	30	1.95816001469008	-0.3757157807	1.575715781	1.516784225
-25	30	1.91515274903756	-0.2171358066	1.587908538	1.537902700
-20	30	1.87519826046964	-0.06373443702	1.594227600	1.548847636
-15	30	1.83819063015297	0.08448688947	1.595306323	1.550716040
-10	30	1.80400683647826	0.2276783376	1.591667199	1.544412893
-5	30	1.77252186731646	0.3660844519	1.583727955	1.530661719
0	30	1.74361904980081	0.5000000000	1.571809525	1.510018392
5	30	1.71719905177062	0.6297358619	1.556145605	1.482887687
10	30	1.69318490305266	0.7555926719	1.536891197	1.449538073
15	30	1.67152641737643	0.8778395612	1.514131106	1.410116439
20	30	1.65220345490829	0.9966962716	1.487887852	1.364661791
25	30	1.63522666179905	1.112316481	1.458128413	1.313116930
30	30	1.62064069561310	1.224772552	1.424772552	1.255342885
35	30	1.60852194770268	1.334038564	1.387699522	1.191130512
40	30	1.59897979013723	1.439974474	1.346758138	1.120217956
45	30	1.59215309290489	1.542308867	1.301777305	1.042308867

-45	35	2.05529491213325	-0.8024142306	1.611960262	1.302414231
-40	35	2.00325273900515	-0.6347324568	1.646905696	1.352321482
-35	35	1.95500090043597	-0.4726966458	1.672696646	1.389154776
-30	35	1.91043353414943	-0.3167773092	1.690583463	1.414699798
-25	35	1.86937098274816	-0.1670494112	1.701641337	1.430492079
-20	35	1.83159717514062	-0.02332083633	1.706766928	1.437812181
-15	35	1.79688483623222	0.1147700572	1.706686781	1.437697719
-10	35	1.76501407292864	0.2476822315	1.701972601	1.430965173
-5	35	1.73578530381702	0.3759205455	1.693058596	1.418234654
0	35	1.70902559702763	0.5000000000	1.680256812	1.399951812
5	35	1.68459490417664	0.6204202019	1.663772102	1.376409206
10	35	1.66238875683324	0.7376469559	1.643713715	1.347762860
15	35	1.64234166843054	0.8520977940	1.620105515	1.314046857
20	35	1.62442883104643	0.9641290487	1.592893506	1.275184081
25	35	1.60866800703055	1.074022522	1.561952169	1.230995272
30	35	1.59512201905920	1.181970583	1.527090535	1.181207699
35	35	1.58390040354331	1.288058261	1.488058261	1.125463835
40	35	1.57516055684117	1.392241789	1.444553333	1.063332358
45	35	1.56910632881397	1.494322712	1.396232259	0.9943227125

-45	40	2.00377056117146	-0.7185337600	1.722471229	1.218533760
-40	40	1.95281031606287	-0.5559161794	1.755916179	1.258391900
-35	40	1.90632525110925	-0.4010896145	1.779828368	1.286889337
-30	40	1.86398215979583	-0.2539467597	1.795758471	1.305874094
-25	40	1.82541542986556	-0.1140596558	1.804972697	1.316855182
-20	40	1.79026186532077	0.01918327043	1.808478393	1.321033107
-15	40	1.75818250789921	0.1464840666	1.807057225	1.319339425
-10	40	1.72887342923381	0.2685752625	1.801297210	1.312474907
-5	40	1.70207276103961	0.3861820675	1.791622404	1.300944922
0	40	1.67756288341590	0.5000000000	1.778316636	1.285087725
5	40	1.65517176492112	0.6106816539	1.761542504	1.265097093
10	40	1.63477327113958	0.7188286134	1.741355146	1.241038737
15	40	1.61628903373095	0.8249855597	1.717712578	1.212862620
20	40	1.59968903042065	0.9296339339	1.690481203	1.180409532
25	40	1.58499495605623	1.033183538	1.659439765	1.143415787
30	40	1.57228302504298	1.135959784	1.624280543	1.101514658
35	40	1.56168986465007	1.238185951	1.584611383	1.054238794
40	40	1.55341535116637	1.339956850	1.539956850	1.001021594
45	40	1.54772859152160	1.441205334	1.489765049	0.9412053339

-45	45	1.95132855479786	-0.6266000664	1.826600066	1.126600066
-40	45	1.90238745477445	-0.4707381054	1.856880625	1.156880625
-35	45	1.85847354892568	-0.3246281421	1.877691037	1.177691037
-30	45	1.81901298740966	-0.1875222852	1.890823529	1.190823529
-25	45	1.78346042618677	-0.05848280845	1.897670248	1.197670248
-20	45	1.75132210854472	0.06349422656	1.899289756	1.199289756
-15	45	1.72216645868518	0.1794070238	1.896469276	1.196469276
-10	45	1.69562521923446	0.2902104142	1.889775864	1.189775864
-5	45	1.67139167578886	0.3967986082	1.879597306	1.179597306
0	45	1.64921725403369	0.5000000000	1.866172704	1.166172704
5	45	1.62890838071566	0.6005782273	1.849614399	1.149614399
10	45	1.61032361804062	0.6992357280	1.829921962	1.129921962
15	45	1.59337384897345	0.7966173576	1.806991049	1.106991049
20	45	1.57802232997714	0.8933119181	1.780615614	1.080615614
25	45	1.56428865861936	0.9898501309	1.750486996	1.050486996
30	45	1.55225376417427	1.086696776	1.716188625	1.016188625
35	45	1.54206902641620	1.184235467	1.677189518	0.9771895180
40	45	1.53396515413373	1.282741930	1.632835507	0.9328355068
45	45	1.52826474936898	1.382344064	1.582344064	0.8823440644


### +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	2.18090926414810	1.759148551	-0.5591485507	1.259148551
45	-40	2.11818335676514	1.788110515	-0.3808530583	1.288110515
45	-35	2.06051520011890	1.805722261	-0.2142765697	1.305722261
45	-30	2.00748968935287	1.814210494	-0.05875978251	1.314210494
45	-25	1.95864185679094	1.815312100	0.08665989508	1.315312100
45	-20	1.91350551429438	1.810351505	0.2230710556	1.310351505
45	-15	1.87164155893754	1.800316592	0.3515812193	1.300316592
45	-10	1.83265082424040	1.785923147	0.4732570541	1.285923147
45	-5	1.79618080826565	1.767668179	0.5890934052	1.267668179
45	0	1.76192824397855	1.745871409	0.7000000000	1.245871409
45	5	1.72963776262139	1.720704922	0.8067978421	1.220704922
45	10	1.69910363679638	1.692216579	0.9102199497	1.192216579
45	15	1.67016802513711	1.660343541	1.010913115	1.160343541
45	20	1.64272361113042	1.624922474	1.109438296	1.124922474
45	25	1.61671678375339	1.585694733	1.206267768	1.085694733
45	30	1.59215312514798	1.542308888	1.301777317	1.042308888
45	35	1.56910636777628	1.494322737	1.396232276	0.9943227372
45	40	1.54772862459806	1.441205354	1.489765065	0.9412053540
45	45	1.52826479927312	1.382344093	1.582344093	0.8823440933

50	-45	2.19343989665406	1.833875553	-0.6338755526	1.119254484
50	-40	2.12771472742205	1.871100386	-0.4504898286	1.150489829
50	-35	2.06658121570882	1.895072183	-0.2768400592	1.170604555
50	-30	2.00984903235325	1.908065936	-0.1129472471	1.181507607
50	-25	1.95723190231088	1.911947620	0.04159801179	1.184764727
50	-20	1.90840079306821	1.908207748	0.1874542960	1.181626602
50	-15	1.86301799511523	1.898007931	0.3254049039	1.173067939
50	-10	1.82075908080345	1.882229933	0.4562755692	1.159828627
50	-5	1.78132755649603	1.861521723	0.5808822841	1.142452376
50	0	1.74446249788037	1.836335803	0.7000000000	1.121318879
50	5	1.70994268052055	1.806960136	0.8143441955	1.096669768
50	10	1.67759195201043	1.773544554	0.9245602660	1.068630766
50	15	1.64727925300694	1.736117668	1.031216731	1.037225879
50	20	1.61892329416359	1.694602483	1.134799746	1.002390503
50	25	1.59249554859466	1.648826717	1.235706696	0.9639800742
50	30	1.56802484056286	1.598531446	1.334237426	0.9217773315
50	35	1.54560353936546	1.543379514	1.430582201	0.8754993653
50	40	1.52539308841225	1.482964035	1.524804759	0.8248047589
50	45	1.50763186407590	1.416821696	1.616821696	0.7693047469

55	-45	2.20419926335054	1.896773023	-0.6967730230	0.9780309999
55	-40	2.13611832109382	1.942014099	-0.5099934988	1.009709142
55	-35	2.07212336063982	1.972377870	-0.3309700840	1.030970084
55	-30	2.01222290102462	1.990076090	-0.1602958320	1.043362511
55	-25	1.95630458498051	1.997015968	0.001929989559	1.048221866
55	-20	1.90418259299494	1.994792067	0.1559401813	1.046664673
55	-15	1.85563329539555	1.984702694	0.3021751123	1.039600018
55	-10	1.81042112558589	1.967778427	0.4411910616	1.027749519
55	-5	1.76831918603712	1.944816674	0.5735949201	1.011671527
55	0	1.72911965494237	1.916411900	0.7000000000	0.9917822897
55	5	1.69264259962888	1.882984628	0.8209954768	0.9683762616
55	10	1.65874503671352	1.844808756	0.9371260675	0.9416452281
55	15	1.62732212860852	1.802029638	1.048877790	0.9116909674
55	20	1.59831319800547	1.754683189	1.156667334	0.8785386272
55	25	1.57170398457688	1.702709425	1.260832615	0.8421462056
55	30	1.54753100714862	1.645965962	1.361623757	0.8024140053
55	35	1.52588477230557	1.584239971	1.459193001	0.7591930007
55	40	1.50691243166546	1.517260585	1.553582982	0.7122935299
55	45	1.49081980152966	1.444713536	1.644713536	0.6614955396

60	-45	2.21326488013700	1.948921978	-0.7489219780	0.8365354941
60	-40	2.14336160659931	2.001602567	-0.5599941602	0.8669506463
60	-35	2.07704496766250	2.038077637	-0.3769735559	0.8880095379
60	-30	2.01448945996910	2.060416826	-0.2009070745	0.9009070745
60	-25	1.95573975013111	2.070494805	-0.03233375453	0.9067255983
60	-20	1.90074870322913	2.069951401	0.1285844208	0.9064118640
60	-15	1.84940998684679	2.060180801	0.2819508142	0.9007708057
60	-10	1.80158487219815	2.042339446	0.4280439423	0.8904700942
60	-5	1.75712320363216	2.017364199	0.5672478342	0.8760506286
60	0	1.71587718273321	1.985993230	0.7000000000	0.8579385914
60	5	1.67771268584406	1.948789225	0.8267526331	0.8364588493
60	10	1.64252034596127	1.906164072	0.9479446652	0.8118492055
60	15	1.61021871603511	1.858396648	1.063981285	0.7842706704
60	20	1.58076127861058	1.805653072	1.175218855	0.7538191527
60	25	1.55413849327800	1.748001647	1.281952725	0.7205340869
60	30	1.53038151048698	1.685428421	1.384407418	0.6844074178
60	35	1.50956335368081	1.617850443	1.482727306	0.6453912539
60	40	1.49180081871110	1.545130197	1.576968363	0.6034062008
60	45	1.47725240745953	1.467088711	1.667088711	0.5583489277

65	-45	2.22072970249772	1.991315341	-0.7913153406	0.6954117640
65	-40	2.14944132437765	2.050607549	-0.6011142224	0.7230601749
65	-35	2.08128000442472	2.092650462	-0.4151858593	0.7426651073
65	-30	2.01655175967206	2.119327961	-0.2349194342	0.7551050293
65	-25	1.95543463278926	2.132430327	-0.06121476290	0.7612147629
65	-20	1.89800809404934	2.133595395	0.1054199013	0.7617580431
65	-15	1.84427823027001	2.124275229	0.2647767640	0.7574119784
65	-10	1.79420277965925	2.105725603	0.4168672526	0.7487621455
65	-5	1.74771005551308	2.079007269	0.5618547643	0.7363031819
65	0	1.70471443936203	2.044995971	0.7000000000	0.7204434531
65	5	1.66512832842749	2.004396983	0.8316176815	0.7015118341
65	10	1.62887504334879	1.957765193	0.9570433350	0.6797670731
65	15	1.59589289946806	1.905519657	1.076607857	0.6554045796
65	20	1.56614283932789	1.847962497	1.190618226	0.6285652354
65	25	1.53961230848003	1.785294728	1.299342775	0.5993427746
65	30	1.51631760197380	1.717630779	1.402999458	0.5677905572
65	35	1.49630457028021	1.645011801	1.501745894	0.5339277713
65	40	1.47965149335972	1.567420985	1.595672555	0.4977465797
65	45	1.46646439151310	1.484793800	1.684793800	0.4592168908

70	-45	2.22668809170704	2.024816140	-0.8248161404	0.5549876878
70	-40	2.15437112302593	2.089709100	-0.6339243197	0.5786067936
70	-35	2.08478372093539	2.136564780	-0.4459349960	0.5956608665
70	-30	2.01833084651437	2.167070105	-0.2624833738	0.6067638966
70	-25	1.95529987940271	2.182905826	-0.08475187459	0.6125276277
70	-20	1.89587801411862	2.185675366	0.08646434232	0.6135356577
70	-15	1.84017215003224	2.176858132	0.2506872178	0.6103264470
70	-10	1.78822904780330	2.157783149	0.4076881028	0.6033837209
70	-5	1.74005134962236	2.129615494	0.5574271184	0.5931315330
70	0	1.69561194863143	2.093354036	0.7000000000	0.5799334417
70	5	1.65486731764847	2.049837838	0.8355932411	0.5640948408
70	10	1.61777028926119	1.999758841	0.9644479482	0.5458675766
70	15	1.58427517836534	1.943671841	1.086830704	0.5254535782
70	20	1.55434585104516	1.882010072	1.203010530	0.5030105296
70	25	1.52796077566925	1.815099601	1.313241015	0.4786571099
70	30	1.50511649251655	1.743173146	1.417746351	0.4524780214
70	35	1.48582823388544	1.666381977	1.516709452	0.4245283213
70	40	1.47013362627761	1.584810681	1.610264242	0.3948387976
70	45	1.45808894717397	1.498486303	1.698486303	0.3634192936

75	-45	2.23122577520438	2.050136500	-0.8501365002	0.4153578234
75	-40	2.15817242195891	2.119491690	-0.6589148800	0.4339414905
75	-35	2.08752774724041	2.170242756	-0.4695165683	0.4475401976
75	-30	2.01976887985300	2.203897271	-0.2837455481	0.4565578978
75	-25	1.95526591385716	2.222023249	-0.1029926286	0.4614147390
75	-20	1.89429201421197	2.226174895	0.07172371911	0.4625271691
75	-15	1.83703777817845	2.217838140	0.2397066576	0.4602933424
75	-10	1.78362545848930	2.198392104	0.4005276483	0.4550827927
75	-5	1.73412204284194	2.169083965	0.5539740746	0.4472297006
75	0	1.68855184705199	2.131015838	0.7000000000	0.4370293767
75	5	1.64690924486816	2.085142075	0.8386819616	0.4247375388
75	10	1.60917164850905	2.032274844	0.9701813969	0.4105718071
75	15	1.57530536793630	1.973088728	1.094712935	0.3947129350
75	20	1.54527424548080	1.908132214	1.212518212	0.3773078896
75	25	1.51904537660027	1.837839235	1.323844681	0.3584729427
75	30	1.49659490048179	1.762542458	1.428929228	0.3382972321
75	35	1.47790872440900	1.682483128	1.527983600	0.3168453993
75	40	1.46298749369434	1.597825208	1.621184727	0.2941613780
75	45	1.45184485882836	1.508664266	1.708664266	0.2702707754

80	-45	2.23441401121094	2.067829866	-0.8678298665	0.2764507066
80	-40	2.16086763272320	2.140423467	-0.6764787259	0.2892509170
80	-35	2.08949610136142	2.194035304	-0.4861762896	0.2987041303
80	-30	2.02082403637534	2.230030415	-0.2988335258	0.3050510396
80	-25	1.95527930185075	2.249881380	-0.1159830882	0.3085513003
80	-20	1.89319751848040	2.255094487	0.06119784848	0.3094705117
80	-15	1.83483147035215	2.247151156	0.2318522588	0.3080698881
80	-10	1.78036084546428	2.227461919	0.3954018556	0.3045981444
80	-5	1.72990226454605	2.197332768	0.5515026245	0.2992855623
80	0	1.68351989394552	2.157943444	0.7000000000	0.2923401616
80	5	1.64123754532581	2.110337372	0.8408862645	0.2839459267
80	10	1.60305112319088	2.055420507	0.9742626018	0.2742626018
80	15	1.56893481609158	1.993960792	1.100305588	0.2634255958
80	20	1.53885104544459	1.926596517	1.219238668	0.2515474565
80	25	1.51275659856025	1.853844743	1.331308172	0.2387193559
80	30	1.49060986886901	1.776113290	1.436764352	0.2250132035
80	35	1.47237299856428	1.693709736	1.535844556	0.2104832336
80	40	1.45801753846081	1.606854556	1.628761250	0.1951683220
80	45	1.44752496725127	1.515690407	1.715690407	0.1790936228

85	-45	2.23630499716006	2.078289151	-0.8782891511	0.1380824085
85	-40	2.16247551055673	2.152844460	-0.6869011768	0.1446051528
85	-35	2.09067903285869	2.208202880	-0.4960965336	0.1494483870
85	-30	2.02146721684424	2.245638540	-0.3078448809	0.1527235829
85	-25	1.95530164368186	2.266560477	-0.1237606789	0.1545540151
85	-20	1.89255562179003	2.272440776	0.05488431563	0.1550684746
85	-15	1.83352022348764	2.264754227	0.2271355300	0.1543959888
85	-10	1.77841102065095	2.244928233	0.3923220732	0.1526614390
85	-5	1.72737593134744	2.214304030	0.5500178316	0.1499821684
85	0	1.68050455523181	2.174109728	0.7000000000	0.1464656227
85	5	1.63783918081197	2.125444848	0.8422079974	0.1422079974
85	10	1.59938719895269	2.069274957	0.9767055151	0.1372937687
85	15	1.56512717288674	2.006427231	1.103645960	0.1317953052
85	20	1.53502001535007	1.937596885	1.223242475	0.1257734302
85	25	1.50901539752806	1.863353306	1.335742087	0.1192779587
85	30	1.48705980384280	1.784150880	1.441404856	0.1123486442
85	35	1.46910000185441	1.700337697	1.540485504	0.1050159409
85	40	1.45508883877462	1.612167751	1.633219550	0.09730207019
85	45	1.44498801187165	1.519811209	1.719811209	0.08922191971

90	-45	2.23693144561255	2.081749394	-0.8817493942	0.000000000
90	-40	2.16300972871305	2.156961583	-0.6903558532	0.000000000
90	-35	2.09107351620628	2.212907146	-0.4993904956	0.000000000
90	-30	2.02168317371961	2.250828987	-0.3108415869	0.000000000
90	-25	1.95531138534973	2.272113935	-0.1263502988	0.000000000
90	-20	1.89234405299438	2.278221743	0.05278021577	0.000000000
90	-15	1.83308516877567	2.270624306	0.2255626470	0.000000000
90	-10	1.77776250592046	2.250754299	0.3912947805	0.000000000
90	-5	1.72653467797762	2.219964692	0.5495225878	0.000000000
90	0	1.67949997863138	2.179499979	0.7000000000	0.000000000
90	5	1.63670702714616	2.130478863	0.8426484166	0.000000000
90	10	1.59816711258190	2.073887363	0.9775188067	0.000000000
90	15	1.56386020237962	2.010572958	1.104756804	0.000000000
90	20	1.53374659091939	1.941250354	1.224572229	0.000000000
90	25	1.50777341500606	1.866506787	1.337212580	0.000000000
90	30	1.48588297933637	1.786812407	1.442941490	0.000000000
90	35	1.46801672175553	1.702528899	1.542019800	0.000000000
90	40	1.45412113983420	1.613921419	1.634691052	0.000000000
90	45	1.44415120307877	1.521169109	1.721169109	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	1.52826484368306	1.382344119	1.582344119	0.8823441189
40	45	1.53396523545779	1.282741971	1.632835556	0.9328355563
35	45	1.54206908091622	1.184235491	1.677189553	0.9771895526
30	45	1.55225381143105	1.086696794	1.716188656	1.016188656
25	45	1.56428869130888	0.9898501412	1.750487018	1.050487018
20	45	1.57802234833897	0.8933119226	1.780615626	1.080615626
15	45	1.59337386277962	0.7966173602	1.806991059	1.106991059
10	45	1.61032362430064	0.6992357287	1.829921966	1.129921966
5	45	1.62890838620757	0.6005782277	1.849614403	1.149614403
0	45	1.64921726138559	0.5000000000	1.866172709	1.166172709
-5	45	1.67139168745228	0.3967986075	1.879597314	1.179597314
-10	45	1.69562523651274	0.2902104120	1.889775876	1.189775876
-15	45	1.72216648661274	0.1794070186	1.896469295	1.196469295
-20	45	1.75132215498743	0.06349421498	1.899289788	1.199289788
-25	45	1.78346050132774	-0.05848283198	1.897670298	1.197670298
-30	45	1.81901309202021	-0.1875223247	1.890823598	1.190823598
-35	45	1.85847373335839	-0.3246282239	1.877691154	1.177691154
-40	45	1.90238769412136	-0.4707382275	1.856880770	1.156880770
-45	45	1.95132874026043	-0.6266001735	1.826600173	1.126600173

45	50	1.50763191707405	1.416821728	1.616821728	0.7693047739
40	50	1.51106560791748	1.317057658	1.673731399	0.8170576581
35	50	1.51733340190824	1.217219357	1.724295395	0.8594858879
30	50	1.52613248187785	1.117292732	1.769182375	0.8971505363
25	50	1.53723557175624	1.017117545	1.808962154	0.9305297348
20	50	1.55048478319044	0.9164189816	1.844101749	0.9600153555
15	50	1.56578778457333	0.8148313259	1.874966504	0.9859139602
10	50	1.58311128441674	0.7119132073	1.901819520	1.008446316
5	50	1.60247868389468	0.6071580574	1.924822201	1.027747857
0	50	1.62396575660691	0.5000000000	1.944029944	1.043865067
-5	50	1.64770080780799	0.3898179304	1.959386818	1.056751014
-10	50	1.67386300006774	0.2759388866	1.970713719	1.066255413
-15	50	1.70268330487120	0.1576432338	1.977692846	1.072111596
-20	50	1.73444407633627	0.03417444422	1.979845196	1.073917632
-25	50	1.76947822089262	-0.09524268808	1.976502064	1.071112411
-30	50	1.80816405261055	-0.2313693542	1.966768881	1.062945301
-35	50	1.85091775668609	-0.3748993735	1.949485796	1.048443071
-40	50	1.89817377801870	-0.5263733180	1.923184089	1.026373318
-45	50	1.95035308717832	-0.6860495042	1.886049504	0.9952137015

45	55	1.49081982584686	1.444713552	1.644713552	0.6614955504
40	55	1.49212685794687	1.345207768	1.707279394	0.7053046244
35	55	1.49660033045048	1.244622737	1.763431478	0.7446227371
30	55	1.50397807599099	1.143003352	1.813714475	0.7798312708
25	55	1.51405665106711	1.040262263	1.858596162	0.8112577663
20	55	1.52669012064692	0.9362033102	1.898458745	0.8391698475
15	55	1.54178934508941	0.8305406163	1.933594374	0.8637720798
10	55	1.55931820999817	0.7229124953	1.964199582	0.8852020769
5	55	1.57929328938006	0.6128929075	1.990371838	0.9035280879
0	55	1.60178052192196	0.5000000000	2.012101789	0.9187435636
-5	55	1.62689460410906	0.3837043991	2.029264801	0.9307612340
-10	55	1.65479638389115	0.2634384126	2.041607430	0.9394036359
-15	55	1.68569196635794	0.1386084368	2.048731675	0.9443920860
-20	55	1.71982919680619	0.008613320749	2.050073805	0.9453318557
-25	55	1.75749324345090	-0.1271279719	2.044880276	0.9416953071
-30	55	1.79899662603098	-0.2691341244	2.032179381	0.9328020450
-35	55	1.84466571486502	-0.4178001673	2.010754479	0.9178001673
-40	55	1.89481839939018	-0.5733103696	1.979121489	0.8956505088
-45	55	1.94972914541217	-0.7355185476	1.935518548	0.8651194007

45	60	1.47725242352846	1.467088722	1.667088722	0.5583489338
40	60	1.47664692457757	1.368060012	1.734513638	0.5972767272
35	60	1.47945374517005	1.267115101	1.795553903	0.6325183407
30	60	1.48546261656427	1.164319078	1.850634395	0.6643190777
25	60	1.49450694500010	1.059623479	1.900116423	0.6928875397
20	60	1.50646577724444	0.9528836522	1.944287608	0.7183897855
15	60	1.52126434388025	0.8438736272	1.983353848	0.7409446896
10	60	1.53887348290730	0.7322987788	2.017431841	0.7606196280
5	60	1.55930960934993	0.6178071790	2.046542218	0.7774265120
0	60	1.58263216857320	0.5000000000	2.070599663	0.7913160843
-5	60	1.60894305780018	0.3784429713	2.089403195	0.8021723088
-10	60	1.63838276844874	0.2526799178	2.102621886	0.8098041234
-15	60	1.67112751210188	0.1222506092	2.109779919	0.8139368156
-20	60	1.70738403880148	-0.01328502174	2.110239007	0.8142018703
-25	60	1.74738212995988	-0.1543134974	2.103179823	0.8101262487
-30	60	1.79136172059087	-0.3011213159	2.087582822	0.8011213159
-35	60	1.83955622429839	-0.4538326994	2.062214268	0.7864747745
-40	60	1.89216965701782	-0.6123287413	2.025621774	0.7653480878
-45	60	1.94934442548838	-0.7761454836	1.976145484	0.7367829385

45	65	1.46646440081995	1.484793807	1.684793807	0.4592168938
40	65	1.46420558193951	1.386322732	1.756278300	0.4925506605
35	65	1.46553444429692	1.285258728	1.821465687	0.5229480382
30	65	1.47029499376611	1.181662326	1.880673783	0.5505572267
25	65	1.47836332048922	1.075499669	1.934163024	0.5754996693
20	65	1.48965045344282	0.9666558148	1.982126314	0.5978653188
15	65	1.50410378715050	0.8549469417	2.024680020	0.6177084381
10	65	1.52170797109551	0.7401319201	2.061855793	0.6350437855
5	65	1.54248463461240	0.6219234865	2.093591828	0.6498425416
0	65	1.56649027064749	0.5000000000	2.119722331	0.6620273952
-5	65	1.59381503188485	0.3740191758	2.139967409	0.6714678305
-10	65	1.62457845897167	0.2436346841	2.153919955	0.6779740095
-15	65	1.65892551289882	0.1085173494	2.161033142	0.6812909430
-20	65	1.69701878090606	-0.03161711869	2.160606029	0.6810917771
-25	65	1.73903001512731	-0.1769724226	2.151772045	0.6769724226
-30	65	1.78512618240147	-0.3276252531	2.133488988	0.6684468930
-35	65	1.83545139157988	-0.4834666325	2.104535911	0.6549458514
-40	65	1.89010542900327	-0.6441312808	2.063522564	0.6358210138
-45	65	1.94911823864722	-0.8089165812	2.008916581	0.6103578257

45	70	1.45808895332176	1.498486307	1.698486307	0.3634192952
40	70	1.45446153264419	1.400560535	1.773246253	0.3906296900
35	70	1.45454241451616	1.299512697	1.841822465	0.4155893901
30	70	1.45822585125016	1.195385566	1.904443130	0.4383814483
25	70	1.46543008666694	1.088144570	1.961280102	0.4590684140
20	70	1.47610017156701	0.9776890089	2.012439765	0.4776890089
15	70	1.49020899390940	0.8638626685	2.057953966	0.4942548231
10	70	1.50775851648573	0.7464649330	2.097772094	0.5087474365
5	70	1.52877891392411	0.6252620592	2.131751888	0.5211150700
0	70	1.55332619006887	0.5000000000	2.159649158	0.5312688462
-5	70	1.58148136460983	0.3704197118	2.181109471	0.5390797613
-10	70	1.61334408787944	0.2362755784	2.195655517	0.5443740890
-15	70	1.64902850470571	0.09735854857	2.202678354	0.5469301925
-20	70	1.68865429687575	-0.04647483484	2.201427269	0.5464748348
-25	70	1.73233752939667	-0.1952668171	2.191004501	0.5426812575
-30	70	1.78017720926724	-0.3489148196	2.170363599	0.5351685835
-35	70	1.83223797074906	-0.5071191513	2.138315208	0.5235039234
-40	70	1.88853083371881	-0.6693236976	2.093545718	0.5072091613
-45	70	1.94899340243605	-0.8346532946	2.034653295	0.4857740723

45	75	1.45184486208740	1.508664268	1.708664268	0.2702707761
40	75	1.44714706211227	1.411210641	1.785938555	0.2909763589
35	75	1.44623682980235	1.310239738	1.857142266	0.3100553358
30	75	1.44905061233556	1.205772380	1.922433620	0.3275501014
25	75	1.45554365007848	1.097765661	1.981912597	0.3434874452
20	75	1.46569249705983	0.9861234826	2.035613291	0.3578765028
15	75	1.47949467193206	0.8707063381	2.083494888	0.3707063381
10	75	1.49696975840635	0.7513425966	2.125434698	0.3819440763
5	75	1.51815723945496	0.6278400887	2.161218901	0.3915324244
0	75	1.54311506759752	0.5000000000	2.190534697	0.3993875683
-5	75	1.57191687798932	0.3676329513	2.212962289	0.4053970236
-10	75	1.60464509691740	0.2305786153	2.227964601	0.4094168809
-15	75	1.64138644561413	0.08872960467	2.234882011	0.4112703953
-20	75	1.68222266725083	-0.05793963817	2.232926557	0.4107464331
-25	75	1.72722113747716	-0.2093387307	2.221181817	0.4075994394
-30	75	1.77642287582399	-0.3652218148	2.198608143	0.4015508417
-35	75	1.82982684080728	-0.5251422096	2.164054803	0.3922923022
-40	75	1.88737368818233	-0.6884037451	2.116284433	0.3794922700
-45	75	1.94892999880308	-0.8540124720	2.054012472	0.3628065484

45	80	1.44752496899410	1.515690408	1.715690408	0.1790936230
40	80	1.44206080328600	1.418596765	1.794740995	0.1930323743
35	80	1.44043312610890	1.317712759	1.867814846	0.2059172659
30	80	1.44260991858027	1.213039397	1.935020463	0.2177674293
25	80	1.44857492705731	1.104523682	1.996405219	0.2285912181
20	80	1.45832987112489	0.9920692375	2.051949119	0.2383851062
15	80	1.47189250489597	0.8755457450	2.101555801	0.2471321027
10	80	1.48929688275528	0.7548006311	2.145046187	0.2548006311
5	80	1.51059164607376	0.6296714268	2.182151190	0.2613432443
0	80	1.53583693706465	0.5000000000	2.212504123	0.2666952853
-5	80	1.56510112886522	0.3656493984	2.235634403	0.2707737778
-10	80	1.59845333931204	0.2265240233	2.250959335	0.2734759767
-15	80	1.63595875431396	0.08259360167	2.257781886	0.2746789766
-20	80	1.67766941069287	-0.06607872059	2.255288502	0.2742393258
-25	80	1.72361495627306	-0.2193042209	2.242552880	0.2719936919
-30	80	1.77379224737034	-0.3767330221	2.218546139	0.2677606557
-35	80	1.82815138725262	-0.5378147286	2.182153036	0.2613435698
-40	80	1.88658216919447	-0.7017581185	2.132199555	0.2525354233
-45	80	1.94890149042668	-0.8674931987	2.067493199	0.2411259469

45	85	1.44498801263109	1.519811209	1.719811209	0.08922191976
40	85	1.43906382786307	1.422941928	1.799919358	0.09623047463
35	85	1.43700232451963	1.322122130	1.874112081	0.1027214968
30	85	1.43879091468697	1.217339389	1.942468268	0.1087018882
25	85	1.44443130599582	1.108533071	2.005003381	0.1141730017
20	85	1.45394125829612	0.9956051484	2.061663954	0.1191301595
15	85	1.46735176060058	0.8784297024	2.112318876	0.1235618910
10	85	1.48470669884508	0.7568649619	2.156753588	0.1274494245
5	85	1.50606088636122	0.6307661369	2.194663784	0.1307661369
0	85	1.53147624540884	0.5000000000	2.225648516	0.1334769497
-5	85	1.56101802169862	0.3644621222	2.249205032	0.1355378778
-10	85	1.59474693387707	0.2240972842	2.264722056	0.1368954415
-15	85	1.63271444087918	0.07892329804	2.271479646	0.1374866540
-20	85	1.67495367851975	-0.07094168127	2.268649377	0.1372390375
-25	85	1.72147046346230	-0.2252485479	2.255300530	0.1360711647
-30	85	1.77223406108721	-0.3835844635	2.230413184	0.1338938041
-35	85	1.82716450733366	-0.5453374713	2.192896626	0.1306115306
-40	85	1.88612085261031	-0.7096614354	2.141618361	0.1261252638
-45	85	1.94889079121669	-0.8754444033	2.075444403	0.1203357926

45	90	1.44415120355091	1.521169109	1.721169109	0.000000000
40	90	1.43807363009794	1.424375911	1.801628313	0.000000000
35	90	1.43586696482057	1.323579457	1.876193360	0.000000000
30	90	1.43752518381048	1.218762592	1.944933328	0.000000000
25	90	1.44305609653436	1.109861859	2.007852977	0.000000000
20	90	1.45248296456514	0.9967784317	2.064887524	0.000000000
15	90	1.46584137003951	0.8793876637	2.115894037	0.000000000
10	90	1.48317866816381	0.7575512729	2.160645852	0.000000000
5	90	1.50455185038385	0.6311303340	2.198826576	0.000000000
0	90	1.53002350946897	0.5000000000	2.230023509	0.000000000
-5	90	1.55965785335887	0.3640668614	2.253722884	0.000000000
-10	90	1.59351272860603	0.2232894186	2.269303690	0.000000000
-15	90	1.63163487954234	0.07770181852	2.276038269	0.000000000
-20	90	1.67405095761625	-0.07255914846	2.273093332	0.000000000
-25	90	1.72075863423989	-0.2272240229	2.259536950	0.000000000
-30	90	1.77171779589709	-0.3858588979	2.234352620	0.000000000
-35	90	1.82683833421457	-0.5478314215	2.196458356	0.000000000
-40	90	1.88596902768180	-0.7122775232	2.144736094	0.000000000
-45	90	1.94888795107912	-0.8780718860	2.078071886	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	1.94888794577491	-0.8780718822	2.078071882	1.687651320e-16
-90	40	2.01529434618417	-1.043805035	1.995406236	1.890615895e-16
-90	35	2.08480350348761	-1.207771052	1.895794164	2.091416352e-16
-90	30	2.15693934218546	-1.367964265	1.778469671	2.287596458e-16
-90	25	2.23113789576642	-1.522097649	1.642919619	2.476355413e-16
-90	20	2.30675252052798	-1.667638322	1.488955828	2.654591332e-16
-90	15	2.38305585184097	-1.801855193	1.316780240	2.818959594e-16
-90	10	2.45925720221541	-1.921895559	1.127045532	2.965966645e-16
-90	5	2.53451891756034	-2.024874308	0.9208978788	3.092079239e-16
-90	-2.84217e-14	2.60797114866185	-2.107971149	0.7000000000	3.193843519e-16
-90	-5	2.67872633539385	-2.168532973	0.4665336166	3.268010364e-16
-90	-10	2.74590523065710	-2.204188760	0.2231785607	3.311676109e-16
-90	-15	2.80865390017277	-2.212951339	-0.02693312047	3.322407174e-16
-90	-20	2.86615833844555	-2.193307841	-0.2802838857	3.298350826e-16
-90	-25	2.91765978568621	-2.144297784	-0.5330563070	3.238330817e-16
-90	-30	2.96247612447766	-2.065579582	-0.7812380622	3.141928823e-16
-90	-35	3.00000776987730	-1.957462498	-1.020733766	3.009523582e-16
-90	-40	3.02975255609387	-1.820925110	-1.247487403	2.842313507e-16
-90	-45	3.05131094000145	-1.657602657	-1.457602657	2.642301188e-16

-85	45	1.94889078304342	-0.8754443975	2.075444398	0.1203357921
-85	40	2.01513461871963	-1.040227427	1.992404266	0.1347524391
-85	35	2.08441829989846	-1.203087508	1.892514711	0.1490008499
-85	30	2.15626561861344	-1.362043735	1.775051452	0.1629077178
-85	25	2.23011746703921	-1.514848905	1.639539474	0.1762764379
-85	20	2.30533720785246	-1.659024349	1.485820598	0.1888901548
-85	15	2.38121222096864	-1.791905090	1.314114118	0.2005157132
-85	10	2.45697154727198	-1.910713254	1.125073790	0.2109100808
-85	5	2.53179975971898	-2.012640388	0.9198275495	0.2198275495
-85	-2.84217e-14	2.60485015930141	-2.094937918	0.7000000000	0.2270276504
-85	-5	2.67526090537474	-2.155015893	0.4677162079	0.2322837921
-85	-10	2.74217191947477	-2.190544056	0.2255844901	0.2353921036
-85	-15	2.80474725972941	-2.199555488	-0.02334371301	0.2361805018
-85	-20	2.86218534497079	-2.180531000	-0.2756334960	0.2345160747
-85	-25	2.91373308944694	-2.132476545	-0.5275439729	0.2303118547
-85	-30	2.95870550533282	-2.054990907	-0.7751246881	0.2235327398
-85	-35	2.99649513977634	-1.948305813	-1.014322186	0.2141990035
-85	-40	3.02658369463419	-1.813308090	-1.241095965	0.2023882331
-85	-45	3.04855085054593	-1.651537800	-1.451537800	0.1882351667

-80	45	1.94890147159093	-0.8674931855	2.067493186	0.2411259445
-80	40	2.01465612261661	-1.029426944	1.983341585	0.2696792353
-80	35	2.08326383348005	-1.188982563	1.882638323	0.2978131958
-80	30	2.15424900637763	-1.344255727	1.764781541	0.3251920440
-80	25	2.22706797030813	-1.493119228	1.629406760	0.3514406957
-80	20	2.30111350117205	-1.633254233	1.476441043	0.3761502779
-80	15	2.37571739348923	-1.762189992	1.306151982	0.3988851311
-80	10	2.45016610160231	-1.877365603	1.119193699	0.4191936988
-80	5	2.52370856686134	-1.976193792	0.9166388855	0.4366197750
-80	-2.84217e-14	2.59556674858659	-2.056134257	0.7000000000	0.4507154359
-80	-5	2.66494861221070	-2.114774660	0.4712368596	0.4610553210
-80	-10	2.73105559287675	-2.149909173	0.2327495165	0.4672504835
-80	-15	2.79310329331139	-2.159630449	-0.01264583093	0.4689646068
-80	-20	2.85032707264693	-2.142404335	-0.2617565250	0.4659271783
-80	-25	2.90199240960554	-2.097144294	-0.5110682735	0.4579466118
-80	-30	2.94740902889670	-2.023281183	-0.7568170704	0.4449225525
-80	-35	2.98594749870125	-1.920823123	-0.9950785994	0.4268564321
-80	-40	3.01704516243153	-1.790390957	-1.221866207	0.4038577220
-80	-45	3.04022171867171	-1.633244057	-1.433244057	0.3761484838

-75	45	1.94892995181497	-0.8540124394	2.054012439	0.3628065397
-75	40	2.01386363498356	-1.011202436	1.968049407	0.4049254724
-75	35	2.08134507213181	-1.165295963	1.866052786	0.4462147083
-75	30	2.15090441163136	-1.314524520	1.747616220	0.4862003798
-75	25	2.22202485120289	-1.456960650	1.612545738	0.5243660258
-75	20	2.29414818674376	-1.590544106	1.460895828	0.5601596049
-75	15	2.36667888841601	-1.713112495	1.293001706	0.5930017058
-75	10	2.43899314581718	-1.822442013	1.109509188	0.6222964619
-75	5	2.51043992686857	-1.916286123	0.9113976436	0.6474419154
-75	-2.84217e-14	2.58034991418400	-1.992426623	0.7000000000	0.6678437008
-75	-5	2.64803690736401	-2.048722542	0.4770156711	0.6829281470
-75	-10	2.71280354532727	-2.083167951	0.2445177946	0.6921577664
-75	-15	2.77394740473332	-2.093954630	0.004951951562	0.6950480484
-75	-20	2.83076493569150	-2.079536486	-0.2388744990	0.6911847182
-75	-25	2.88255681587430	-2.038698097	-0.4838143643	0.6802421049
-75	-30	2.92863511797074	-1.970625939	-0.7264165510	0.6620022252
-75	-35	2.96833838803884	-1.874984331	-0.9629819315	0.6363751334
-75	-40	3.00104351034527	-1.751981805	-1.189637102	0.6034167061
-75	-45	3.02617811822949	-1.602426930	-1.402426930	0.5633435981

-70	45	1.94899331317818	-0.8346532335	2.034653233	0.4857740500
-70	40	2.01276713893604	-0.9852196092	1.946247226	0.5405757291
-70	35	2.07867461556596	-1.131769105	1.842577028	0.5939153833
-70	30	2.14626023400564	-1.272735268	1.723489184	0.6452228707
-70	25	2.21504913208144	-1.406469247	1.589001210	0.6938980585
-70	20	2.28455298284404	-1.531256576	1.439316932	0.7393169320
-70	15	2.35427315351631	-1.645333023	1.274840251	0.7808373630
-70	10	2.42369826389154	-1.746896808	1.096188530	0.8178035575
-70	5	2.49230785314346	-1.834128526	0.9042097853	0.8495533066
-70	-2.84217e-14	2.55956831839426	-1.905207461	0.7000000000	0.8754239231
-70	-5	2.62492956441817	-1.958333134	0.4849237196	0.8947600868
-70	-10	2.68782133139342	-1.991752896	0.2606367351	0.9069238855
-70	-15	2.74765181260569	-2.003799595	0.02910892038	0.9113085253
-70	-20	2.80380360508626	-1.992936060	-0.2073545218	0.9073545218
-70	-25	2.85563354726559	-1.957813445	-0.4460972319	0.8945709355
-70	-30	2.90247258404093	-1.897340002	-0.6841048954	0.8725604021
-70	-35	2.94363552316711	-1.810767383	-0.9180167408	0.8410505458
-70	-40	2.97843167229721	-1.697782863	-1.144158789	0.7999275434
-70	-45	3.00618198050313	-1.558606601	-1.358606601	0.7492715270

-65	45	1.94911807975723	-0.8089164745	2.008916474	0.6103577759
-65	40	2.01138275306664	-0.9510120585	1.917543683	0.6766180349
-65	35	2.07527234991108	-1.088053246	1.811966854	0.7405213902
-65	30	2.14035964336214	-1.218747957	1.692319596	0.8014653348
-65	25	2.20622989052033	-1.341798504	1.558844747	0.8588447473
-65	20	2.27248416287178	-1.455902968	1.411890461	0.9120525325
-65	15	2.33873727450606	-1.559750509	1.251908485	0.9604774361
-65	10	2.40461073239591	-1.652011501	1.079457690	1.003499444
-65	5	2.46972868248981	-1.731330952	0.8952161629	1.040486711
-65	-2.84217e-14	2.53371049580468	-1.796321552	0.7000000000	1.070792325
-65	-5	2.59615790092285	-1.845556224	0.4947904208	1.093750830
-65	-10	2.65664719801422	-1.877572074	0.2807698948	1.108680066
-65	-15	2.71471774717784	-1.890880464	0.05936551042	1.114885870
-65	-20	2.76986203729214	-1.883990818	-0.1677016966	1.111673176
-65	-25	2.82151840733044	-1.855451898	-0.3983652583	1.098365258
-65	-30	2.86906409910197	-1.803910969	-0.6301636179	1.074331328
-65	-35	2.91181342580396	-1.728196585	-0.8602000454	1.039025131
-65	-40	2.94902370625487	-1.627426494	-1.085122787	0.9920352663
-65	-45	2.97991063508221	-1.501137932	-1.301137932	0.9331459426

-60	45	1.94934414861948	-0.7761453024	1.976145302	0.7367828338
-60	40	2.00973721413593	-0.9079875979	1.881441874	0.8129020187
-60	35	2.07117072010476	-1.033727684	1.773927686	0.8854980911
-60	30	2.13326512652923	-1.152420062	1.654025167	0.9540251674
-60	25	2.19568592664905	-1.263175975	1.522182460	1.017970124
-60	20	2.25813930701836	-1.365143437	1.378856694	1.076841065
-60	15	2.32036564979734	-1.457483719	1.224506182	1.130153752
-60	10	2.38212789824398	-1.539343180	1.059591226	1.177415334
-60	5	2.44320054355669	-1.609826464	0.8845858976	1.218108877
-60	-2.84217e-14	2.50335684707819	-1.667970624	0.7000000000	1.251678424
-60	-5	2.56235626891986	-1.712723421	0.5064117851	1.277516463
-60	-10	2.61992869019945	-1.742924786	0.3045118445	1.294953229
-60	-15	2.67575745519373	-1.757295808	0.09515941111	1.303250343
-60	-20	2.72946561058336	-1.754442343	-0.1205499076	1.301602893
-60	-25	2.78060070208268	-1.732873242	-0.3412058925	1.289149967
-60	-30	2.82861948393471	-1.691039231	-0.5649970897	1.264997090
-60	-35	2.87287559872537	-1.627400120	-0.7896216006	1.228255032
-60	-40	2.91261292466459	-1.540526914	-1.012205381	1.178098763
-60	-45	2.94696995638756	-1.429244699	-1.229244699	1.113849947

-55	45	1.94972875250545	-0.7355182987	1.935518299	0.8651192263
-55	40	2.00787273949993	-0.8554402727	1.837349433	0.9490894966
-55	35	2.06642006927158	-0.9683253125	1.728132452	1.028132452
-55	30	2.12506254837521	-1.073635253	1.608538737	1.101871267
-55	25	2.18356632449336	-1.170922657	1.479164031	1.169992640
-55	20	2.24175485819685	-1.259787843	1.340510393	1.232216713
-55	15	2.29949885882637	-1.339842041	1.192984189	1.288271266
-55	10	2.35670069822449	-1.410668405	1.036902391	1.337864420
-55	5	2.41327803779094	-1.471784492	0.8725087900	1.380658365
-55	-2.84217e-14	2.46915191102074	-1.522610836	0.7000000000	1.416247354
-55	-5	2.52423105573021	-1.562439376	0.5195599354	1.444135598
-55	-10	2.57839353217530	-1.590403360	0.3314054871	1.463716190
-55	-15	2.63147182542298	-1.605455489	0.1358449020	1.474255805
-55	-20	2.68323390240074	-1.606350917	-0.06664903666	1.474882790
-55	-25	2.73336210508604	-1.591640918	-0.2753481783	1.464582738
-55	-30	2.78143031003791	-1.559683746	-0.4891589651	1.442206085
-55	-35	2.82688055662109	-1.508681748	-0.7064941018	1.406494102
-55	-40	2.86900179646014	-1.436756499	-0.9251316640	1.356131500
-55	-45	2.90691228809570	-1.342073324	-1.142073324	1.289833628

-50	45	1.95035259249208	-0.6860492034	1.886049203	0.9952134491
-50	40	2.00585303361627	-0.7925726528	1.784597236	1.084597236
-50	35	2.06109359710464	-0.8913676960	1.674246149	1.167496121
-50	30	2.11586643461222	-0.9823399188	1.555829351	1.243830879
-50	25	2.17005306005985	-1.065476861	1.429993849	1.313591056
-50	20	2.22360263298286	-1.140794988	1.297200536	1.376790469
-50	15	2.27651288929014	-1.208294328	1.157736086	1.433429140
-50	10	2.32881336253017	-1.267919530	1.011731913	1.483460626
-50	5	2.38055080986581	-1.319525909	0.8591878900	1.526763519
-50	-2.84217e-14	2.43177552966882	-1.362848131	0.7000000000	1.563115180
-50	-5	2.48252702954481	-1.397469371	0.5339929406	1.592165850
-50	-10	2.53281978108830	-1.422791078	0.3609600546	1.613413285
-50	-15	2.58262891510609	-1.438003667	0.1807134826	1.626178162
-50	-20	2.63187125413224	-1.442056147	-0.006850630948	1.629578597
-50	-25	2.68038222259205	-1.433628456	-0.2016657568	1.622506924
-50	-30	2.72788804383352	-1.411111815	-0.4033809206	1.603613219
-50	-35	2.77397271641025	-1.372605898	-0.6112127662	1.571302919
-50	-40	2.81804059931917	-1.315946708	-0.8237602129	1.523760213
-50	-45	2.85927659131802	-1.238784431	-1.038784431	1.459013375

-45	45	1.95132838653275	-0.6265999692	1.826599969	1.126599969
-45	40	2.00377026301063	-0.7185335787	1.722471076	1.218533579
-45	35	2.05529461302383	-0.8024140411	1.611960129	1.302414041
-45	30	2.10582181593604	-0.8785839817	1.495925833	1.378583982
-45	25	2.15536078602414	-0.9474173066	1.374941775	1.447417307
-45	20	2.20398411687236	-1.009268661	1.249328868	1.509268661
-45	15	2.25180625312320	-1.064434717	1.119189019	1.564434717
-45	10	2.29896695295823	-1.113124977	0.9844374567	1.613124977
-45	5	2.34561785734200	-1.155437528	0.8448320169	1.655437528
-45	-2.84217e-14	2.39191348906647	-1.191338248	0.7000000000	1.691338248
-45	-5	2.43800110958732	-1.220637707	0.5494637066	1.720637707
-45	-10	2.48400979128009	-1.242964697	0.3926682976	1.742964697
-45	-15	2.53004110905363	-1.257737435	0.2290156739	1.757737435
-45	-20	2.57615332928297	-1.264126817	0.05791034898	1.764126817
-45	-25	2.62234073114437	-1.261014389	-0.1211744958	1.761014389
-45	-30	2.66850576213687	-1.246947092	-0.3086003741	1.746947092
-45	-35	2.71442147496334	-1.220094346	-0.5044230272	1.720094346
-45	-40	2.75968197979145	-1.178218916	-0.7081928735	1.678218916
-45	-45	2.80364079212717	-1.118682766	-0.9186827660	1.618682766


### -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	3.05131094955701	-1.657602664	-1.457602664	2.642301196e-16
-40	-90	3.06439434276697	-1.469754715	-1.647462258	2.874812140e-16
-35	-90	3.06882955885975	-1.260208322	-1.813838007	3.078563668e-16
-30	-90	3.06456285386612	-1.032281427	-1.953989283	3.250199480e-16
-25	-90	3.05166026915636	-0.7896873584	-2.065743465	3.387058882e-16
-20	-90	3.03030833517015	-0.5364264911	-2.147558381	3.487253257e-16
-15	-90	3.00080364836067	-0.2766651348	-2.198553744	3.549704564e-16
-10	-90	2.96355450376854	-0.01461583900	-2.218531452	3.574170201e-16
-5	-90	2.91906826928122	0.2455864369	-2.207960333	3.561224314e-16
-2.84217e-14	-90	2.86794235008686	0.5000000000	-2.167942350	3.512216419e-16
5	-90	2.81085397935298	0.7449820663	-2.100157831	3.429204325e-16
10	-90	2.74855631710715	0.9772817957	-2.006799571	3.314873430e-16
15	-90	2.68185460568479	1.194115048	-1.890472626	3.172414010e-16
20	-90	2.61159211177506	1.393217108	-1.754093836	3.005398161e-16
25	-90	2.53863322986022	1.572872763	-1.600783065	2.817646616e-16
30	-90	2.46384900460497	1.731924502	-1.433755829	2.613097246e-16
35	-90	2.38809662229359	1.869755950	-1.256214230	2.395671495e-16
40	-90	2.31219884145041	1.986252766	-1.071247074	2.169152060e-16
45	-90	2.23693144330341	2.081749393	-0.8817493926	1.937084331e-16

-45	-85	3.04855086561880	-1.651537811	-1.451537811	0.1882351676
-40	-85	3.06111594393576	-1.463243183	-1.639702117	0.2046974112
-35	-85	3.06506840399891	-1.253553575	-1.804334044	0.2191008385
-30	-85	3.06038120040007	-1.025817238	-1.942792980	0.2312144258
-25	-85	3.04714392163107	-0.7837494172	-2.053009509	0.2408571227
-20	-85	3.02556180441896	-0.5313236513	-2.133538444	0.2479024915
-15	-85	2.99594421356058	-0.2726533661	-2.183581619	0.2522807020
-10	-85	2.95870462581910	-0.01187722901	-2.203000023	0.2539795922
-5	-85	2.91434921318050	0.2469569845	-2.192294902	0.2530430155
-2.84217e-14	-85	2.86346680095509	0.5000000000	-2.152570445	0.2495675759
5	-85	2.80671947354092	0.7436978918	-2.085479650	0.2436978918
10	-85	2.74483903061868	0.9748769393	-1.993160953	0.2356210524
15	-85	2.67860799958965	1.190812425	-1.878147069	0.2255586414
20	-85	2.60884404096501	1.389277012	-1.743268511	0.2137582966
25	-85	2.53638585591374	1.568569109	-1.591553849	0.2004849836
30	-85	2.46208137256245	1.727522310	-1.426131008	0.1860123604
35	-85	2.38676817047135	1.865491828	-1.250124433	0.1706137803
40	-85	2.31125388179657	1.982320014	-1.066560202	0.1545539911
45	-85	2.23630499344013	2.078289148	-0.8782891484	0.1380824083

-45	-80	3.04022174927217	-1.633244079	-1.433244079	0.3761484875
-40	-80	3.05124737182021	-1.443653110	-1.616355577	0.4084359851
-35	-80	3.05377386157599	-1.233582631	-1.775812579	0.4365525568
-30	-80	3.04785206620099	-1.006463092	-1.909270614	0.4600848093
-25	-80	3.03363926365542	-0.7660075379	-2.014961927	0.4787210392
-20	-80	3.01139263524287	-0.5161032199	-2.091720653	0.4922556736
-15	-80	2.98145864349379	-0.2607037224	-2.138984942	0.5005896430
-10	-80	2.94426266689673	-0.003727627652	-2.156781337	0.5037276277
-5	-80	2.90030554566822	0.2510334714	-2.145700443	0.5017737672
-2.84217e-14	-80	2.85014994675655	0.5000000000	-2.106849765	0.4949233443
5	-80	2.79441281707029	0.7398765397	-2.041801395	0.4834535617
10	-80	2.73376842252273	0.9677146158	-1.952541397	0.4677146158
15	-80	2.66892916476169	1.180963446	-1.841390177	0.4481156567
20	-80	2.60063947373731	1.377507009	-1.710930692	0.4251121295
25	-80	2.52966435859098	1.555687202	-1.563928511	0.3991916788
30	-80	2.45678394044852	1.714315607	-1.403256327	0.3708608378
35	-80	2.38277782184326	1.852668021	-1.231810138	0.3406302489
40	-80	2.30840857222748	1.970462717	-1.052429226	0.3090005543
45	-80	2.23441400068139	2.067829859	-0.8678298591	0.2764507053

-45	-75	3.02617816554903	-1.602426963	-1.402426963	0.5633436069
-40	-75	3.03469136438419	-1.410823811	-1.577231141	0.6101822452
-35	-75	3.03491680022366	-1.200281822	-1.728254095	0.6506487237
-30	-75	3.02702733682133	-0.9743393150	-1.853630601	0.6842432573
-25	-75	3.01128281705557	-0.7366798233	-1.952068440	0.7106195966
-20	-75	2.98801786380809	-0.4910302829	-2.022833324	0.7295809903
-15	-75	2.95762580818734	-0.2410710248	-2.065714717	0.7410710248
-10	-75	2.92054956549316	0.009637047072	-2.080986500	0.7451630868
-5	-75	2.87727406772803	0.2577122036	-2.069362185	0.7420483611
-2.84217e-14	-75	2.82831749019007	0.5000000000	-2.031944909	0.7320224321
5	-75	2.77422752230020	0.7336105137	-1.970180391	0.7154726793
10	-75	2.71558597369253	0.9559493777	-1.885817417	0.6928676885
15	-75	2.65299947590468	1.164742996	-1.780854635	0.6647429959
20	-75	2.58709726505327	1.358057700	-1.657494154	0.6316886547
25	-75	2.51853162376275	1.534315749	-1.518097282	0.5943373756
30	-75	2.44797473189420	1.692306837	-1.365136020	0.5533515288
35	-75	2.37611233733834	1.831193202	-1.201140918	0.5094091738
40	-75	2.30363334192755	1.950505805	-1.028645504	0.4631891669
45	-75	2.23122574014491	2.050136476	-0.8501364758	0.4153578169

-45	-70	3.00618204149524	-1.558606643	-1.358606643	0.7492715422
-40	-70	3.01129567352450	-1.364507229	-1.522033189	0.8087539402
-35	-70	3.00846169734255	-1.153649493	-1.661656227	0.8595725703
-30	-70	2.99800478904632	-0.9296614300	-1.776246234	0.9012799220
-25	-70	2.98031061567906	-0.6961358803	-1.865121673	0.9336279363
-20	-70	2.95579825474517	-0.4565423581	-1.928078530	0.9565423581
-15	-70	2.92490731494934	-0.2141713580	-1.965323793	0.9700985255
-10	-70	2.88808981361878	0.02789995562	-1.977412399	0.9744984180
-5	-70	2.84580178800945	0.2668263287	-1.965187258	0.9700488308
-2.84217e-14	-70	2.79849882011666	0.5000000000	-1.929728691	0.9571429676
5	-70	2.74663739415646	0.7250485355	-1.872316532	0.9362466507
10	-70	2.69068481638438	0.9398313429	-1.794407499	0.9078900817
15	-70	2.63111556247185	1.142436553	-1.697605858	0.8726571657
20	-70	2.56841654463196	1.331179602	-1.583647189	0.8311796024
25	-70	2.50309578375843	1.504607595	-1.454387939	0.7841330829
30	-70	2.43568815190309	1.661508954	-1.311792522	0.7322325954
35	-70	2.36675483846376	1.800924968	-1.157913401	0.6762251756
40	-70	2.29688369427360	1.922163984	-0.9948690372	0.6168818805
45	-70	2.22668800843239	2.024816083	-0.8248160834	0.5549876671

-45	-65	2.97991069983380	-1.501137975	-1.301137975	0.9331459628
-40	-65	2.98086794948109	-1.304398957	-1.450398940	1.002747494
-35	-65	2.97438082106838	-1.093724739	-1.576074809	1.061351114
-30	-65	2.96094218028528	-0.8727603940	-1.677690749	1.108735405
-25	-65	2.94106028278185	-0.6449007133	-1.755247503	1.144900713
-20	-65	2.91522918586937	-0.4132401819	-1.809106778	1.170015706
-15	-65	2.88392065102054	-0.1805639504	-1.839899241	1.184374467
-10	-65	2.84757707455150	0.05064035702	-1.848445174	1.188359501
-5	-65	2.80660704806405	0.2781557697	-1.835691156	1.182412205
-2.84217e-14	-65	2.76138716670756	0.5000000000	-1.802666692	1.167012644
5	-65	2.71226885732057	0.7143874033	-1.750459233	1.142667906
10	-65	2.65958957890232	0.9196944252	-1.680205364	1.109907989
15	-65	2.60368021529325	1.114431223	-1.593088542	1.069284748
20	-65	2.54487199388484	1.297220120	-1.490344279	1.021374311
25	-65	2.48351349688572	1.466786159	-1.373279608	0.9667861589
30	-65	2.41998133811224	1.621958597	-1.243289294	0.9061706800
35	-65	2.35469064682376	1.761684015	-1.101871511	0.8402264847
40	-65	2.28810265448691	1.885049628	-0.9506378697	0.7697050795
45	-65	2.22072950995197	1.991315211	-0.7913152113	0.6954117037

-45	-60	2.94696999774159	-1.429244726	-1.229244726	1.113849962
-40	-60	2.94319365808701	-1.230182537	-1.361951254	1.190468112
-35	-60	2.93267717559909	-1.020629459	-1.471683931	1.253822302
-30	-60	2.91606916072720	-0.8041057741	-1.558777459	1.304105774
-25	-60	2.89397531866403	-0.5836594238	-1.623915134	1.341713028
-20	-60	2.86693615345007	-0.3618772065	-1.667988163	1.367158604
-15	-60	2.83542604227654	-0.1409328147	-1.691993829	1.381018281
-10	-60	2.79985065473475	0.07735194276	-1.696956243	1.383883332
-5	-60	2.76055078474691	0.2914380194	-1.683874347	1.376330496
-2.84217e-14	-60	2.71781064855212	0.5000000000	-1.653693064	1.358905324
5	-60	2.67186893751583	0.7018619910	-1.607293115	1.332116301
10	-60	2.62293211994823	0.8959415346	-1.545496027	1.296437735
15	-60	2.57118704533961	1.081203010	-1.469079162	1.252318438
20	-60	2.51681100433953	1.256620281	-1.378797137	1.200194087
25	-60	2.45999094352185	1.421152420	-1.275417740	1.140507964
30	-60	2.40094073740067	1.573733340	-1.159760698	1.073733340
35	-60	2.33991546526920	1.713275167	-1.032736511	1.000395891
40	-60	2.27722808608335	1.838688759	-0.8953871383	0.9210971938
45	-60	2.21326453867279	1.948921754	-0.7489217545	0.8365353650

-45	-55	2.90691218031955	-1.342073256	-1.142073256	1.289833580
-40	-55	2.89806695836902	-1.141595479	-1.256377310	1.369870140
-35	-55	2.88341184371175	-0.9346208373	-1.348850889	1.434620837
-30	-55	2.86370894885441	-0.7243359676	-1.420612101	1.484868579
-25	-55	2.83961240729665	-0.5132615739	-1.472946458	1.521513490
-20	-55	2.81166390877651	-0.3033438401	-1.507169061	1.545476414
-15	-55	2.78029958047930	-0.09606193272	-1.524533417	1.557635068
-10	-55	2.74585767210697	0.1074656338	-1.526173015	1.558783126
-5	-55	2.70859269855599	0.3063811788	-1.513073254	1.549610575
-2.84217e-14	-55	2.66868865402045	0.5000000000	-1.486061767	1.530696928
5	-55	2.62627182649159	0.6877342635	-1.445812450	1.502514053
10	-55	2.58142602284141	0.8690280229	-1.392861917	1.465437691
15	-55	2.53420525541838	1.043302345	-1.327631956	1.419763180
20	-55	2.48464765170194	1.209909310	-1.250459799	1.365726655
25	-55	2.43279060838091	1.368094968	-1.161635666	1.303531327
30	-55	2.37869168852934	1.516974086	-1.061450787	1.233381119
35	-55	2.32244431778643	1.655515477	-0.9502471252	1.155515477
40	-55	2.26420158166629	1.782545619	-0.8284783488	1.070252062
45	-55	2.20419878879227	1.896772722	-0.6967727223	0.9780307893

-45	-50	2.85927657013252	-1.238784418	-1.038784418	1.459013364
-40	-50	2.84533538861563	-1.038518948	-1.133535483	1.538518948
-35	-50	2.82674259784222	-0.8361562495	-1.208228884	1.601194153
-30	-50	2.80430070689704	-0.6342884481	-1.264645222	1.648533082
-25	-50	2.77864529322649	-0.4347209104	-1.304515461	1.681988184
-20	-50	2.75026166730325	-0.2386471476	-1.329416359	1.702882518
-15	-50	2.71950309219302	-0.04680766623	-1.340713992	1.712362358
-10	-50	2.68661431987986	0.1403733187	-1.339544260	1.711380836
-5	-50	2.65175003124921	0.3226769660	-1.326811553	1.700696827
-2.84217e-14	-50	2.61499148077830	0.5000000000	-1.303199693	1.680884123
5	-50	2.57636197428808	0.6722818202	-1.269190215	1.652346783
10	-50	2.53583828938336	0.8394439990	-1.225082580	1.615336083
15	-50	2.49336322718441	1.001337958	-1.171018731	1.569971127
20	-50	2.44885742600736	1.157697984	-1.107010358	1.516261725
25	-50	2.40223349869131	1.308098064	-1.032971891	1.454136075
30	-50	2.35340914104192	1.451911040	-0.9487582855	1.383472469
35	-50	2.30232710480185	1.588273390	-0.8542154727	1.304141630
40	-50	2.24898059016076	1.716060245	-0.7492441663	1.216060245
45	-50	2.19343929703146	1.833875188	-0.6338751880	1.119254178

-45	-45	2.80364047015832	-1.118682580	-0.9186825802	1.618682580
-40	-45	2.78494815124237	-0.9210855339	-0.9935837904	1.693583790
-35	-45	2.76295819342987	-0.7259593810	-1.050851446	1.750851446
-30	-45	2.73841635160846	-0.5350240932	-1.092714317	1.792714317
-25	-45	2.71186065618986	-0.3492072676	-1.121130862	1.821130862
-20	-45	2.68366057540209	-0.1688851408	-1.137746820	1.837746820
-15	-45	2.65405198549639	0.005930207467	-1.143893568	1.843893568
-10	-45	2.62316669307645	0.1754512448	-1.140607455	1.840607455
-5	-45	2.59105462720957	0.3400132970	-1.128656383	1.828656383
-2.84217e-14	-45	2.55770090121165	0.5000000000	-1.108567651	1.808567651
5	-45	2.52303912624640	0.6557870325	-1.080653929	1.780653929
10	-45	2.48696183116728	0.8076969407	-1.045036066	1.745036066
15	-45	2.44932726997193	0.9559588971	-1.001661770	1.701661770
20	-45	2.40996738028974	1.100668872	-0.9503241622	1.650324162
25	-45	2.36869770759653	1.241747296	-0.8906822089	1.590682209
30	-45	2.32532523024527	1.378890325	-0.8222826976	1.522282698
35	-45	2.27966412445487	1.511515710	-0.7445941452	1.444594145
40	-45	2.23155846440005	1.638705383	-0.6570562314	1.357056231
45	-45	2.18090876363477	1.759148262	-0.5591482618	1.259148262