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# 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	2.80358873092669	-1.118652708	-0.9186527085	1.618652708
-40	-45	2.78490173918027	-0.9210618511	-0.9935555663	1.693555566
-35	-45	2.76291703244290	-0.7259411174	-1.050825363	1.750825363
-30	-45	2.73838220635882	-0.5350111875	-1.092691963	1.792691963
-25	-45	2.71183368507821	-0.3491988217	-1.121112750	1.821112750
-20	-45	2.68363895045741	-0.1688797509	-1.137732012	1.837732012
-15	-45	2.65403353293686	0.005933642537	-1.143880748	1.843880748
-10	-45	2.62314977676051	0.1754533378	-1.140595585	1.840595585
-5	-45	2.59103720862947	0.3400143725	-1.128644090	1.828644090
0	-45	2.55768050411096	0.5000000000	-1.108553229	1.808553229
5	-45	2.52301428965743	0.6557854989	-1.080636401	1.780636401
10	-45	2.48693272252827	0.8076933393	-1.045015641	1.745015641
15	-45	2.44929496629349	0.9559528835	-1.001639327	1.701639327
20	-45	2.40993076092361	1.100659745	-0.9502990855	1.650299086
25	-45	2.36865590837302	1.241734206	-0.8906541389	1.590654139
30	-45	2.32528021491814	1.378873311	-0.8222532281	1.522253228
35	-45	2.27961763774604	1.511495083	-0.7445646871	1.444564687
40	-45	2.23151184266123	1.638681593	-0.6570278797	1.357027880
45	-45	2.18086532075311	1.759123180	-0.5591231800	1.259123180

-45	-40	2.75963435341001	-1.178189954	-0.7081685710	1.678189954
-40	-40	2.73965951105843	-0.9813782885	-0.7813782885	1.765437897
-35	-40	2.71624885777835	-0.7839276167	-0.8386055288	1.833638667
-30	-40	2.69012008305534	-0.5881044699	-0.8814109876	1.884652226
-25	-40	2.66181602031438	-0.3954201891	-0.9112683059	1.920234792
-20	-40	2.63173267603727	-0.2068134126	-0.9294927935	1.941953891
-15	-40	2.60014523416281	-0.02280850550	-0.9372074876	1.951147905
-10	-40	2.56723102189745	0.1563538109	-0.9353333414	1.948914385
-5	-40	2.53308922358063	0.3306118370	-0.9245938546	1.936115563
0	-40	2.49775822010540	0.5000000000	-0.9055280359	1.913393805
5	-40	2.46123047460187	0.6645829547	-0.8785073288	1.881191780
10	-40	2.42346386632483	0.8244017056	-0.8437532612	1.839773495
15	-40	2.38438995698707	0.9794268157	-0.8013550165	1.789245235
20	-40	2.34392145902207	1.129514973	-0.7512884081	1.729578174
25	-40	2.30196862692479	1.274369516	-0.6934430710	1.660640786
30	-40	2.25845168263506	1.413502481	-0.6276508838	1.582232710
35	-40	2.21331047358435	1.546196645	-0.5537186060	1.494123653
40	-40	2.16652606566684	1.671475748	-0.4714757481	1.396110431
45	-40	2.11814522528891	1.788087327	-0.3808336008	1.288087327

-45	-35	2.71437491623360	-1.220064842	-0.5044023685	1.720064842
-40	-35	2.69257508997038	-1.025195642	-0.5727374033	1.817657386
-35	-35	2.66734335337021	-0.8271175130	-0.6271175130	1.895320231
-30	-35	2.63935940851132	-0.6284186742	-0.6685405621	1.954478476
-25	-35	2.60916227738551	-0.4310298367	-0.6980343203	1.996599928
-20	-35	2.57716609511774	-0.2363435228	-0.7165809092	2.023087202
-15	-35	2.54367778850720	-0.04533313945	-0.7250700725	2.035210983
-10	-35	2.50891604196363	0.1413376489	-0.7242748382	2.034075271
-5	-35	2.47302803024968	0.3232200905	-0.7148418805	2.020603612
0	-35	2.43610533385653	0.5000000000	-0.6972926160	1.995540664
5	-35	2.39819841973459	0.6714308509	-0.6720311782	1.959463592
10	-35	2.35932772979659	0.8372779385	-0.6393557474	1.912798241
15	-35	2.31949341941024	0.9972707762	-0.5994730190	1.855839802
20	-35	2.27868337596838	1.151061547	-0.5525150686	1.788776899
25	-35	2.23688915504265	1.298191267	-0.4985639363	1.711726697
30	-35	2.19411862850307	1.438062632	-0.4376776999	1.624772139
35	-35	2.15040402303425	1.569918065	-0.3699180649	1.528001352
40	-35	2.10581585317966	1.692828818	-0.2953856480	1.421558029
45	-35	2.06048203673782	1.805701245	-0.2142618547	1.305701245

-45	-30	2.66845875399355	-1.246916318	-0.3085826067	1.746916318
-40	-30	2.64438021925640	-1.054522402	-0.3696035299	1.852607658
-35	-30	2.61698278939263	-0.8569380078	-0.4188518851	1.937908311
-30	-30	2.58691178241179	-0.6569021195	-0.4569021195	2.003813250
-25	-30	2.55469967024213	-0.4566164420	-0.4844170917	2.051470580
-20	-30	2.52077419287430	-0.2578117207	-0.5020840161	2.082070591
-15	-30	2.48547141685384	-0.06182745283	-0.5105699151	2.096768599
-10	-30	2.44904844352137	0.1303068648	-0.5104921793	2.096633957
-5	-30	2.41169739234119	0.3177941925	-0.5024023199	2.082621909
0	-30	2.37355928860577	0.5000000000	-0.4867796443	2.055562641
5	-30	2.33473714066986	0.6763913944	-0.4640321722	2.016162864
10	-30	2.29530766288835	0.8464853823	-0.4345026605	1.965016249
15	-30	2.25533011625722	1.009805249	-0.3984776444	1.902619091
20	-30	2.21485317934151	1.165843733	-0.3561991679	1.829390622
25	-30	2.17392801492114	1.314035132	-0.3078826591	1.745703974
30	-30	2.13262262319000	1.453737831	-0.2537378312	1.651922381
35	-30	2.09102487918051	1.584222313	-0.1939864401	1.548429936
40	-30	2.04925171943130	1.704670827	-0.1288849148	1.435670786
45	-30	2.00746049771767	1.814191384	-0.05874874911	1.314191384

-45	-25	2.62229230802900	-1.260981871	-0.1211593323	1.760981871
-40	-25	2.59558264124868	-1.071175473	-0.1731396466	1.872454015
-35	-25	2.56575228846703	-0.8747744967	-0.2155398094	1.963381457
-30	-25	2.53342022080213	-0.6745514531	-0.2486482759	2.034382793
-25	-25	2.49911442674504	-0.4728593142	-0.2728593142	2.086303532
-20	-25	2.46327713450578	-0.2716592813	-0.2886265372	2.120116451
-15	-25	2.42627102920525	-0.07256519725	-0.2964259785	2.136842407
-10	-25	2.38838808316282	0.1231023118	-0.2967293584	2.137493007
-5	-25	2.34986065319473	0.3142586336	-0.2899867948	2.123033533
0	-25	2.31087304547092	0.5000000000	-0.2766171496	2.094362236
5	-25	2.27157272763278	0.6795532095	-0.2570044082	2.052302576
10	-25	2.23208080535973	0.8522317421	-0.2314987312	1.997605475
15	-25	2.19250126373559	1.017398882	-0.2004209303	1.930958916
20	-25	2.15292521019926	1.174436789	-0.1640680196	1.852999848
25	-25	2.11344074306209	1.322723638	-0.1227236376	1.764336534
30	-25	2.07414759869057	1.461622180	-0.07667199754	1.665578474
35	-25	2.03515631363387	1.590471987	-0.02620674716	1.557355395
40	-25	1.99659505060310	1.708592292	0.02835646639	1.440344206
45	-25	1.95861537787469	1.815294318	0.08666818683	1.315294318

-45	-20	2.57610266177765	-1.264092121	0.05792297753	1.764092121
-40	-20	2.54651447404948	-1.076728146	0.01607393034	1.879071433
-35	-20	2.51407312896374	-0.8819008427	-0.01831670757	1.973558934
-30	-20	2.47938067030905	-0.6823446472	-0.04536772767	2.047881001
-25	-20	2.44296555009316	-0.4804745631	-0.06529636643	2.102634486
-20	-20	2.40528443223160	-0.2783875097	-0.07838750967	2.138602106
-15	-20	2.36672378260186	-0.07788030724	-0.08496683978	2.156678667
-10	-20	2.32760547391026	0.1195192260	-0.08537995645	2.157813696
-5	-20	2.28819515375493	0.3125143969	-0.07997738380	2.142970250
0	-20	2.24871144858754	0.5000000000	-0.06910461194	2.113097555
5	-20	2.20933517615619	0.6810241304	-0.05309637284	2.069115279
10	-20	2.17021824612073	0.8547535556	-0.03227440420	2.011907390
15	-20	2.13149191911300	1.020444005	-0.006947928637	1.942323471
20	-20	2.09327031617336	1.177414881	0.02258511857	1.861182090
25	-20	2.05565762593201	1.325030059	0.05603377146	1.769282672
30	-20	2.01876101702477	1.462688510	0.09310678268	1.667425411
35	-20	1.98268815110848	1.589816519	0.1335097064	1.556419290
40	-20	1.94755308579151	1.705868570	0.1769390314	1.437098200
45	-20	1.91348043901798	1.810334334	0.2230773055	1.310334334

-45	-15	2.52998783935268	-1.257700426	0.2290255904	1.757700426
-40	-15	2.49737445292372	-1.072496836	0.1978555089	1.874028754
-35	-15	2.46223627623398	-0.8794432787	0.1721269161	1.970049169
-30	-15	2.42516721015211	-0.6811982402	0.1518039889	2.045895366
-25	-15	2.38669960837946	-0.4801747060	0.1367730911	2.101991440
-20	-15	2.34730261466242	-0.2785254574	0.1268617377	2.138981115
-15	-15	2.30738148239703	-0.07814398125	0.1218560188	2.157662712
-10	-15	2.26728050620050	0.1193215218	0.1215151283	2.158934933
-5	-15	2.22728897920656	0.3124457643	0.1255826529	2.143754724
0	-15	2.18764829592131	0.5000000000	0.1337949570	2.113105988
5	-15	2.14855939145149	0.6809246211	0.1458869966	2.067977882
10	-15	2.11019021409364	0.8543028740	0.1615959023	2.009351448
15	-15	2.07268284416369	1.019337232	0.1806627684	1.938192935
20	-15	2.03615590988461	1.175328013	0.2028340817	1.855448467
25	-15	2.00071258120714	1.321656759	0.2278604987	1.762048607
30	-15	1.96644968825541	1.457775984	0.2554946189	1.658916667
35	-15	1.93345541232361	1.583199082	0.2854910104	1.546968609
40	-15	1.90181578177493	1.697497354	0.3176038732	1.427121774
45	-15	1.87161687525605	1.800299443	0.3515858143	1.300299443

-45	-10	2.48395420846225	-1.242925696	0.3926751745	1.742925696
-40	-10	2.44826219180795	-1.059549864	0.3722788230	1.858599153
-35	-10	2.41043212152304	-0.8683669610	0.3554164279	1.954230548
-30	-10	2.37105547599209	-0.6719425632	0.3420801985	2.029864063
-25	-10	2.33066844767781	-0.4726416250	0.3322107131	2.085836696
-20	-10	2.28974741339553	-0.2726059008	0.3257076735	2.122717267
-15	-10	2.24870809527663	-0.07374621730	0.3224398466	2.141250034
-10	-10	2.20790651334650	0.1222539780	0.3222539780	2.142304147
-5	-10	2.16764313122492	0.3139262995	0.3249821122	2.126832129
0	-10	2.12816845790961	0.5000000000	0.3304474255	2.095836797
5	-10	2.08968929386630	0.6793820275	0.3384686880	2.050345957
10	-10	2.05237526570916	0.8511365121	0.3488634879	1.991394117
15	-10	2.01636467273731	1.014464997	0.3614505206	1.920009508
20	-10	1.98176631136050	1.168687008	0.3760516383	1.837202454
25	-10	1.94866933652921	1.313224597	0.3924917801	1.743965777
30	-10	1.91714979289760	1.447590415	0.4105989800	1.641274743
35	-10	1.88726832253931	1.571374546	0.4302053626	1.530081422
40	-10	1.85907808436368	1.684237940	0.4511462375	1.411319819
45	-10	1.83262521804493	1.785905180	0.4732602222	1.285905180

-45	-5	2.43794304929899	-1.220596730	0.5494672916	1.720596730
-40	-5	2.39920552176899	-1.038727697	0.5395646658	1.833784261
-35	-5	2.35877664442576	-0.8494776212	0.5313871430	1.927253775
-30	-5	2.31724541870099	-0.6553113074	0.5249301202	2.001057883
-25	-5	2.27514756138918	-0.4585104712	0.5201642228	2.055532339
-20	-5	2.23295759545867	-0.2611485500	0.5170403425	2.091238454
-15	-5	2.19108951412110	-0.06508151285	0.5154940275	2.108912916
-10	-5	2.14989699272208	0.1280523221	0.5154496543	2.109420104
-5	-5	2.10967667200412	0.3168239604	0.5168239604	2.093711713
0	-5	2.07067316748790	0.5000000000	0.5195289421	2.062793631
5	-5	2.03308495560795	0.6765258417	0.5234741583	2.017699604
10	-5	1.99707046084126	0.8455075862	0.5285685104	1.959470892
15	-5	1.96275207292472	1.006193336	0.5347217319	1.889139249
20	-5	1.93021988966259	1.157954308	0.5418454652	1.807714605
25	-5	1.89954252709202	1.300269588	0.5498533843	1.716183671
30	-5	1.87076992249486	1.432711584	0.5586617270	1.615503852
35	-5	1.84393418548209	1.554931557	0.5681897195	1.506598400
40	-5	1.81905799185141	1.666650747	0.5783592426	1.390360219
45	-5	1.79615339852725	1.767648834	0.5890950977	1.267648834

-45	0	2.39185265171273	-1.191295230	0.7000000000	1.691295230
-40	0	2.35018493617990	-1.010669757	0.7000000000	1.800346111
-35	0	2.30733430231732	-0.8234325866	0.7000000000	1.890057611
-30	0	2.26388240226327	-0.6319412011	0.7000000000	1.960579672
-25	0	2.22035385535501	-0.4383620868	0.7000000000	2.012323989
-20	0	2.17720910749607	-0.2446493710	0.7000000000	2.045907332
-15	0	2.13484434807371	-0.05253837561	0.7000000000	2.062101291
-10	0	2.09359390547288	0.1364512335	0.7000000000	2.061787510
-5	0	2.05373386382224	0.3210052997	0.7000000000	2.045918786
0	0	2.01548755011257	0.5000000000	0.7000000000	2.015487550
5	0	1.97903189656897	0.6724839949	0.7000000000	1.971501083
10	0	1.94450269109157	0.8376593488	0.7000000000	1.914961326
15	0	1.91199866453240	0.9948616686	0.7000000000	1.846848890
20	0	1.88158720055252	1.143540724	0.7000000000	1.768113608
25	0	1.85331429176381	1.283244464	0.7000000000	1.679673174
30	0	1.82720543779946	1.413602719	0.7000000000	1.582406327
35	0	1.80326908768744	1.534312657	0.7000000000	1.477151560
40	0	1.78150410936988	1.645128768	0.7000000000	1.364711323
45	0	1.76189878060277	1.745850576	0.7000000000	1.245850576

-45	5	2.34555428289192	-1.155392660	0.8448280914	1.655392660
-40	5	2.30115112398126	-0.9758406217	0.8538784177	1.758838363
-35	5	2.25613608296356	-0.7907560203	0.8612757832	1.843390638
-30	5	2.21107368582705	-0.6023771630	0.8670485143	1.909373255
-25	5	2.16646181812878	-0.4127216069	0.8712448684	1.957337802
-20	5	2.12272886892602	-0.2235748695	0.8739279544	1.988005615
-15	5	2.08023523429027	-0.03649221800	0.8751712208	2.002216215
-10	5	2.03927716112505	0.1471903504	0.8750545753	2.000882952
-5	5	2.00009290086581	0.3263387460	0.8736612540	1.984957216
0	5	1.96286968026445	0.5000000000	0.8710753649	1.955400369
5	5	1.92775067266533	0.6673800247	0.8673800247	1.913162437
10	5	1.89484078035413	0.8278211145	0.8626559422	1.859165927
15	5	1.86421144704583	0.9807797299	0.8569804172	1.794294379
20	5	1.83590705564367	1.125805880	0.8504269166	1.719387525
25	5	1.80995267963942	1.262525748	0.8430651147	1.635241743
30	5	1.78635575037809	1.390625128	0.8349607098	1.542607972
35	5	1.76511013043010	1.509835597	0.8261756864	1.442194694
40	5	1.74620104942533	1.619924031	0.8167687996	1.334673487
45	5	1.72960604303454	1.720682535	0.8067958836	1.220682535

-45	10	2.29890178955930	-1.113079254	0.9844293945	1.613079254
-40	10	2.25203616616644	-0.9345533367	1.001454618	1.709634093
-35	10	2.20519314652900	-0.7518558052	1.015243613	1.787835373
-30	10	2.15890294937290	-0.5670818468	1.025894574	1.848239975
-25	10	2.11361594723697	-0.3820606173	1.033537489	1.891585098
-20	10	2.06970687509584	-0.1983598869	1.038323519	1.918728020
-15	10	2.02747985864640	-0.01730097917	1.040415729	1.930593537
-10	10	1.98717437477043	0.1600185694	1.039981431	1.928130506
-5	10	1.94897438491415	0.3326971489	1.037186618	1.912280339
0	10	1.91301786300133	0.5000000000	1.032192066	1.883954823
5	10	1.87940527647480	0.6613309357	1.025150661	1.844021033
10	10	1.84820584273189	0.8162056005	1.016205600	1.793291073
15	10	1.81946242946853	0.9642264101	1.005489412	1.732516549
20	10	1.79319796921838	1.105060333	0.9931241393	1.662389602
25	10	1.76942259768335	1.238420805	0.9792223304	1.583548526
30	10	1.74813439428141	1.364051105	0.9638875057	1.496580413
35	10	1.72932383836716	1.481711779	0.9472156674	1.402029720
40	10	1.71297513504296	1.591169952	0.9292966126	1.300405711
45	10	1.69906973728612	1.692192792	0.9102157555	1.192192792

-45	15	2.25173993386140	-1.064388642	1.119176673	1.564388642
-40	15	2.20276592975274	-0.8869936288	1.142907861	1.652954640
-35	15	2.15450961333265	-0.7070424897	1.161900283	1.723835326
-30	15	2.10744128979459	-0.5264471383	1.176375775	1.777858595
-25	15	2.06194011416238	-0.3468018087	1.186588322	1.815972339
-20	15	2.01830300165304	-0.1694067726	1.192806794	1.839179992
-15	15	1.97675592035998	0.004698487671	1.195301512	1.848490409
-10	15	1.93746486570102	0.1746978706	1.194334120	1.844880052
-5	15	1.90054573157303	0.3399599668	1.190150334	1.829265950
0	15	1.86607725806375	0.5000000000	1.182976334	1.802492217
5	15	1.83411137965365	0.6544457685	1.173016929	1.765323212
10	15	1.80467905154471	0.8030072693	1.160454508	1.718439618
15	15	1.77779460529237	0.9454492067	1.145449207	1.662439072
20	15	1.75346452863878	1.081568293	1.128141479	1.597845752
25	15	1.73169110182624	1.211174465	1.108654287	1.525118561
30	15	1.71247260475975	1.334074293	1.087095227	1.444659053
35	15	1.69580753403212	1.450059232	1.063560216	1.356825198
40	15	1.68169395293444	1.558895440	1.038136459	1.261942445
45	15	1.67013126769357	1.660318004	1.010906272	1.160318004

-45	20	2.20391851818857	-1.009223740	1.249312518	1.509223740
-40	20	2.15327640028254	-0.8332464990	1.278312780	1.588901305
-35	20	2.10409733924447	-0.6565510378	1.301179121	1.651726059
-30	20	2.05676205226885	-0.4808100999	1.318317339	1.698812926
-25	20	2.01155004096759	-0.3073276545	1.330148852	1.731319742
-20	20	1.96865662525784	-0.1370879499	1.337087950	1.750384757
-15	20	1.92821039526195	0.02919101763	1.339525927	1.757083043
-10	20	1.89028881672262	0.1910049577	1.337820698	1.752397966
-5	20	1.85493066359721	0.3480143647	1.332290460	1.737203761
0	20	1.82214912083083	0.5000000000	1.323211703	1.712260083
5	20	1.79194432952598	0.6468247858	1.310820300	1.678214981
10	20	1.76430895671611	0.7884018125	1.295312611	1.635607956
15	20	1.73923201921295	0.9246663430	1.276847823	1.584876368
20	20	1.71670814600640	1.055553497	1.255553497	1.526370689
25	20	1.69673823750924	1.180979182	1.231529234	1.460364569
30	20	1.67932971449975	1.300823578	1.204851146	1.387067124
35	20	1.66449989658812	1.414919213	1.175578085	1.306640051
40	20	1.65227398845614	1.523040289	1.143756855	1.219211940
45	20	1.64268420653567	1.624895490	1.109428475	1.124895490

-45	25	2.15529803674443	-0.9473751678	1.374922125	1.447375168
-40	25	2.10352247829060	-0.7733183189	1.407613329	1.517481681
-35	25	2.05398814141447	-0.6005624066	1.432926526	1.571766007
-30	25	2.00695214333933	-0.4304688330	1.451510419	1.611619294
-25	25	1.96256550270312	-0.2639906795	1.463990679	1.638383299
-20	25	1.92090015268881	-0.1017513866	1.470945680	1.653298347
-15	25	1.88197183141732	0.05588161426	1.472892064	1.657472380
-10	25	1.84575977556908	0.2087313417	1.470278067	1.651866646
-5	25	1.81222094176839	0.3567555938	1.463481358	1.637291055
0	25	1.78130143458988	0.5000000000	1.452810516	1.614407361
5	25	1.75295024864913	0.6385594392	1.438510854	1.583741638
10	25	1.72712390512109	0.7725474188	1.420768586	1.545693221
15	25	1.70378979364407	0.9020699780	1.399715898	1.500545586
20	25	1.68293394215686	1.027204827	1.375438883	1.448483358
25	25	1.66456045891123	1.147982793	1.347982793	1.389603584
30	25	1.64869368492101	1.264372032	1.317359256	1.323931196
35	25	1.63537896402845	1.376264362	1.283553818	1.251435202
40	25	1.62467940986283	1.483461825	1.246533169	1.172044163
45	25	1.61667461059938	1.585666412	1.206254562	1.085666412

-45	30	2.10576250705571	-0.8785451549	1.495903416	1.378545155
-40	30	2.05348781679534	-0.7071610545	1.530598339	1.438638524
-35	30	2.00424177316996	-0.5392241974	1.556883620	1.484165966
-30	30	1.95811784449727	-0.3756969217	1.575696922	1.516751560
-25	30	1.91511286301429	-0.2171208711	1.587890046	1.537870671
-20	30	1.87515922670186	-0.06372270243	1.594208986	1.548815396
-15	30	1.83815074346266	0.08449590564	1.595286896	1.550682391
-10	30	1.80396518106068	0.2276846257	1.591646610	1.544377232
-5	30	1.77247833974549	0.3660877405	1.583706254	1.530624130
0	30	1.74357267900524	0.5000000000	1.571786340	1.509978233
5	30	1.71714983342473	0.6297321434	1.556121066	1.482845184
10	30	1.69313373487912	0.7555849479	1.536865906	1.449494268
15	30	1.67147354171588	0.8778276089	1.514105352	1.410071833
20	30	1.65214955340696	0.9966800674	1.487862148	1.364617270
25	30	1.63517235331057	1.112296145	1.458103234	1.313073319
30	30	1.62058719971895	1.224748628	1.424748628	1.255301447
35	30	1.60847067386138	1.334011978	1.387677601	1.191092544
40	30	1.59893142367123	1.439946041	1.346738575	1.120184071
45	30	1.59210862120986	1.542279753	1.301760496	1.042279753

-45	35	2.05524013052551	-0.8023795162	1.611935955	1.302379516
-40	35	2.00320432731333	-0.6347050343	1.646882812	1.352288801
-35	35	1.95495735873244	-0.4726749819	1.672674982	1.389123837
-30	35	1.91039294018988	-0.3167599539	1.690562414	1.414669738
-25	35	1.86933161644809	-0.1670353640	1.701620244	1.430461954
-20	35	1.83155783940876	-0.02330959739	1.706745306	1.437781302
-15	35	1.79684434066542	0.1147787389	1.706664093	1.437665318
-10	35	1.76497149443160	0.2476883183	1.701948430	1.430930653
-5	35	1.73574058143029	0.3759237424	1.693033010	1.418198114
0	35	1.70897804597324	0.5000000000	1.680229537	1.399912860
5	35	1.68454447038719	0.6204165967	1.663743248	1.376367999
10	35	1.66233626383800	0.7376394518	1.643683915	1.347720302
15	35	1.64228756759291	0.8520861955	1.620075205	1.314003570
20	35	1.62437400336844	0.9641133834	1.592863369	1.275141041
25	35	1.60861279320687	1.074002820	1.561922584	1.230953021
30	35	1.59506767059772	1.181947347	1.527062354	1.181167453
35	35	1.58384751672761	1.288031948	1.488031948	1.125426255
40	35	1.57511032670031	1.392213337	1.444529590	1.063298450
45	35	1.56906028820046	1.494293537	1.396211830	0.9942935371

-45	40	2.00372182394917	-0.7185041219	1.722446359	1.218504122
-40	40	1.95276656904572	-0.5558925247	1.755892525	1.258363710
-35	40	1.90628486662842	-0.4010705254	1.779805492	1.286862075
-30	40	1.86394407108793	-0.2539313535	1.795736080	1.305847410
-25	40	1.82537781075762	-0.1140470010	1.804949925	1.316828043
-20	40	1.79022348507711	0.01919357834	1.808454629	1.321004787
-15	40	1.75814288212695	0.1464920341	1.807032274	1.319309689
-10	40	1.72883154124406	0.2685808695	1.801270527	1.312443107
-5	40	1.70202853488944	0.3861850249	1.791594040	1.300911118
0	40	1.67751580209443	0.5000000000	1.778286373	1.285051658
5	40	1.65512203170948	0.6106783282	1.761510608	1.265059080
10	40	1.63472151821008	0.7188216858	1.741322179	1.240999448
15	40	1.61623578503640	0.8249748530	1.717679049	1.212822663
20	40	1.59963476132555	0.9296193587	1.690447601	1.180369487
25	40	1.58494008513724	1.033165080	1.659406550	1.143376203
30	40	1.57222866167168	1.135937795	1.624248585	1.101476572
35	40	1.56163676869459	1.238160853	1.584581308	1.054202951
40	40	1.55336459743994	1.339929407	1.539929407	1.000988888
45	40	1.54768111551853	1.441176463	1.489740823	0.9411764628

-45	45	1.95128661240431	-0.6265758509	1.826575851	1.126575851
-40	45	1.90234956538101	-0.4707187714	1.856857583	1.156857583
-35	45	1.85843799213002	-0.3246123651	1.877668506	1.177668506
-30	45	1.81897830263773	-0.1875091756	1.890800823	1.190800823
-25	45	1.78342566466504	-0.05847192303	1.897646904	1.197646904
-20	45	1.75128611951180	0.06350319660	1.899265111	1.199265111
-15	45	1.72212884660122	0.1794140256	1.896443145	1.196443145
-10	45	1.69558527301627	0.2902153565	1.889747835	1.189747835
-5	45	1.67134933913553	0.3968012223	1.879567426	1.179567426
0	45	1.64917239940930	0.5000000000	1.866140987	1.166140987
5	45	1.62886124852941	0.6005753171	1.849581135	1.149581135
10	45	1.61027450609587	0.6992296516	1.829887501	1.129887501
15	45	1.59332324876964	0.7966079381	1.806955895	1.106955895
20	45	1.57797023422212	0.8932989335	1.780579939	1.080579939
25	45	1.56423579660735	0.9898335774	1.750451497	1.050451497
30	45	1.55220087240903	1.086676785	1.716153999	1.016153999
35	45	1.54201695473496	1.184212362	1.677156521	0.9771565209
40	45	1.53391460594733	1.282716136	1.632804767	0.9328047674
45	45	1.52821681200147	1.382316388	1.582316388	0.8823163878


### +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	2.18086557667642	1.759123328	-0.5591233278	1.259123328
45	-40	2.11814539168200	1.788087428	-0.3808336857	1.288087428
45	-35	2.06048213662709	1.805701309	-0.2142618990	1.305701309
45	-30	2.00746056600949	1.814191428	-0.05874877492	1.314191428
45	-25	1.95861545354091	1.815294369	0.08666816314	1.315294369
45	-20	1.91348047741503	1.810334360	0.2230772959	1.310334360
45	-15	1.87161689890983	1.800299459	0.3515858099	1.300299459
45	-10	1.83262523583266	1.785905192	0.4732602200	1.285905192
45	-5	1.79615340821596	1.767648841	0.5890950971	1.267648841
45	0	1.76189878776886	1.745850581	0.7000000000	1.245850581
45	5	1.72960604808936	1.720682539	0.8067958839	1.220682539
45	10	1.69906974099842	1.692192795	0.9102157560	1.192192795
45	15	1.67013127838354	1.660318012	1.010906274	1.160318012
45	20	1.64268422313421	1.624895501	1.109428479	1.124895501
45	25	1.61667463369110	1.585666427	1.206254569	1.085666427
45	30	1.59210864919542	1.542279771	1.301760507	1.042279771
45	35	1.56906032578633	1.494293561	1.396211847	0.9942935609
45	40	1.54768113626436	1.441176475	1.489740833	0.9411764754
45	45	1.52821690151766	1.382316439	1.582316439	0.8823164395

50	-45	2.19339609677128	1.833848917	-0.6338489170	1.119232134
50	-40	2.12767673720834	1.871075906	-0.4504692867	1.150469287
50	-35	2.06654908413860	1.895050493	-0.2768248711	1.170586354
50	-30	2.00982172983637	1.908046808	-0.1129362037	1.181491557
50	-25	1.95720800466063	1.911930380	0.04160605083	1.184750261
50	-20	1.90837870253019	1.908191447	0.1874602290	1.181612924
50	-15	1.86299704752621	1.897992212	0.3254091159	1.173054749
50	-10	1.82073775505910	1.882213744	0.4562784239	1.159815043
50	-5	1.78130471224966	1.861504263	0.5808838117	1.142437725
50	0	1.74443748446849	1.836316641	0.7000000000	1.121302801
50	5	1.70991492382952	1.806938920	0.8143423395	1.096651966
50	10	1.67756146045456	1.773521406	0.9245561845	1.068611342
50	15	1.64724571596506	1.736092502	1.031209988	1.037204763
50	20	1.61888744590397	1.694576031	1.134790118	1.002368307
50	25	1.59245679897776	1.648798763	1.235693661	0.9639566180
50	30	1.56798378160455	1.598502681	1.334220819	0.9217531947
50	35	1.54556025040215	1.543350291	1.430561739	0.8754748445
50	40	1.52534875402701	1.482935466	1.524780787	0.8247807866
50	45	1.50758739389661	1.416794653	1.616794653	0.7692820549

55	-45	2.20415810640350	1.896746942	-0.6967469424	0.9780127380
55	-40	2.13608287291025	1.941990169	-0.5099734193	1.009692387
55	-35	2.07209379016809	1.972356859	-0.3309553714	1.030955371
55	-30	2.01219849772585	1.990058020	-0.1602853987	1.043349858
55	-25	1.95628378930039	1.997000055	0.001937410101	1.048210723
55	-20	1.90416443209902	1.994777810	0.1559453702	1.046654691
55	-15	1.85561650874283	1.984689262	0.3021787111	1.039590613
55	-10	1.81040429294889	1.967764780	0.4411934679	1.027739963
55	-5	1.76830126192416	1.944802029	0.5735962014	1.011661272
55	0	1.72909975555174	1.916395600	0.7000000000	0.9917708759
55	5	1.69262009292949	1.882966239	0.8209938679	0.9683633853
55	10	1.65871977066999	1.844788271	0.9371224556	0.9416308850
55	15	1.62729328288263	1.802006558	1.048871606	0.9116748069
55	20	1.59828125785333	1.754658116	1.156658208	0.8785210707
55	25	1.57166879238845	1.702682495	1.260820058	0.8421273491
55	30	1.54749379035144	1.645938403	1.361607845	0.8023947079
55	35	1.52584524672659	1.584211885	1.459173335	0.7591733350
55	40	1.50687169920025	1.517233088	1.553559909	0.7122742763
55	45	1.49077845218904	1.444687334	1.644687334	0.6614771924

60	-45	2.21322730859638	1.948897382	-0.7488973817	0.8365212933
60	-40	2.14333025424796	2.001580602	-0.5599757295	0.8669379649
60	-35	2.07702003542286	2.038059175	-0.3769606283	0.8879988785
60	-30	2.01447007335783	2.060401809	-0.2008984045	0.9008984045
60	-25	1.95572482535143	2.070482820	-0.03232816590	0.9067186788
60	-20	1.90073714875283	2.069941857	0.1285878944	0.9064063540
60	-15	1.84939998324998	2.060172362	0.2819530755	0.9007659334
60	-10	1.80157435081342	2.042330438	0.4280455306	0.8904648938
60	-5	1.75711116223364	2.017353800	0.5672487439	0.8760446251
60	0	1.71586251131906	1.985980524	0.7000000000	0.8579312557
60	5	1.67769498301789	1.948773938	0.8267512956	0.8364500232
60	10	1.64249996554853	1.906146624	0.9479415887	0.8118391321
60	15	1.61019496327616	1.858376610	1.063975916	0.7842591014
60	20	1.58073422775468	1.805630729	1.175210722	0.7538062530
60	25	1.55410780053963	1.747977000	1.281941232	0.7205198571
60	30	1.53034820247635	1.685402620	1.384392522	0.6843925220
60	35	1.50952743250321	1.617823842	1.482708681	0.6453758963
60	40	1.49176349986674	1.545104052	1.576946425	0.6033911060
60	45	1.47721439998123	1.467063829	1.667063829	0.5583345622

65	-45	2.22069711541802	1.991293457	-0.7912934569	0.6954015595
65	-40	2.14941522318636	2.050588720	-0.6010984226	0.7230513946
65	-35	2.08126003523996	2.092635181	-0.4151751595	0.7426579816
65	-30	2.01653732835451	2.119316372	-0.2349127436	0.7550996255
65	-25	1.95542541829660	2.132422635	-0.06121117587	0.7612111759
65	-20	1.89800272766032	2.133590776	0.1054215824	0.7617558893
65	-15	1.84427467768376	2.124272101	0.2647776024	0.7574105194
65	-10	1.79419878600574	2.105722029	0.4168678828	0.7487604788
65	-5	1.74770495664159	2.079002663	0.5618551674	0.7363010338
65	0	1.70470651435794	2.044988789	0.7000000000	0.7204401039
65	5	1.66511665730603	2.004386439	0.8316167589	0.7015069171
65	10	1.62885984398175	1.957751590	0.9570409365	0.6797607301
65	15	1.59587352796631	1.905502596	1.076603286	0.6553966241
65	20	1.56611995542420	1.847942801	1.190611057	0.6285560511
65	25	1.53958570281192	1.785272517	1.299332417	0.5993324175
65	30	1.51628809162324	1.717607082	1.402985777	0.5677795070
65	35	1.49627245684852	1.644987227	1.501728687	0.5339163122
65	40	1.47961734343899	1.567396349	1.595651883	0.4977350919
65	45	1.46642913619084	1.484770125	1.684770125	0.4592058508

70	-45	2.22666004746054	2.024796936	-0.8247969360	0.5549806980
70	-40	2.15434910857042	2.089692856	-0.6339106890	0.5786008811
70	-35	2.08476765254859	2.136552167	-0.4459261637	0.5956562755
70	-30	2.01832111924527	2.167062071	-0.2624787352	0.6067609724
70	-25	1.95529597985646	2.182902470	-0.08475030952	0.6125264061
70	-20	1.89587818651169	2.185675519	0.08646428653	0.6135357135
70	-15	1.84017401329923	2.176859830	0.2506867629	0.6103270650
70	-10	1.78823031466414	2.157784323	0.4076878957	0.6033841484
70	-5	1.74005165021162	2.129615775	0.5574270938	0.5931316355
70	0	1.69560964226997	2.093351869	0.7000000000	0.5799326529
70	5	1.65486130467432	2.049832206	0.8355927484	0.5640927912
70	10	1.61776040062193	1.999749673	0.9644463317	0.5458642400
70	15	1.58426061686229	1.943658572	1.086827148	0.5254487486
70	20	1.55432711531963	1.881993413	1.203004466	0.5030044665
70	25	1.52793787690219	1.815079892	1.313231825	0.4786499365
70	30	1.50508980201217	1.743151101	1.417733623	0.4524699975
70	35	1.48579877052891	1.666358848	1.516693257	0.4245199030
70	40	1.47010194721064	1.584787305	1.610244627	0.3948302894
70	45	1.45805617255311	1.498463859	1.698463859	0.3634111248

75	-45	2.23120104329770	2.050119318	-0.8501193178	0.4153532194
75	-40	2.15815343385346	2.119477442	-0.6589029239	0.4339376726
75	-35	2.08751587205185	2.170233254	-0.4695099153	0.4475376517
75	-30	2.01976470882563	2.203893752	-0.2837435166	0.4565569549
75	-25	1.95526836542654	2.222025408	-0.1029936355	0.4614153175
75	-20	1.89429853958453	2.226180841	0.07172155485	0.4625287624
75	-15	1.83704529750913	2.217845172	0.2397047735	0.4602952265
75	-10	1.78363164968799	2.198397999	0.4005266088	0.4550843723
75	-5	1.73412686060975	2.169088602	0.5539736689	0.4472309431
75	0	1.68855361427647	2.131017545	0.7000000000	0.4370298341
75	5	1.64690703646195	2.085139949	0.8386817757	0.4247369693
75	10	1.60916546744461	2.032268959	0.9701803591	0.4105702300
75	15	1.57529428639545	1.973078365	1.094710158	0.3947101584
75	20	1.54525864450780	1.908117998	1.212513038	0.3773040804
75	25	1.51902566141851	1.837821872	1.323836584	0.3584682902
75	30	1.49657080462958	1.762522131	1.428917492	0.3382917854
75	35	1.47788154486947	1.682461382	1.527968373	0.3168395723
75	40	1.46295768072808	1.597802837	1.621165955	0.2941553836
75	45	1.45181370920675	1.508642625	1.708642625	0.2702649767

80	-45	2.23439289323768	2.067815049	-0.8678150485	0.2764480938
80	-40	2.16085253730997	2.140412007	-0.6764691101	0.2892488963
80	-35	2.08948897305857	2.194029524	-0.4861722430	0.2987031113
80	-30	2.02082591259594	2.230032021	-0.2988344532	0.3050513228
80	-25	1.95528804841865	2.249889207	-0.1159867384	0.3085526805
80	-20	1.89320993253286	2.255105995	0.06119365974	0.3094725410
80	-15	1.83484422737308	2.247163303	0.2318490039	0.3080720300
80	-10	1.78037183429962	2.227472581	0.3953999755	0.3046000245
80	-5	1.72991137569951	2.197341708	0.5515018424	0.2992871386
80	0	1.68352558094116	2.157949045	0.7000000000	0.2923411492
80	5	1.64123892999410	2.110338731	0.8408863834	0.2839461663
80	10	1.60304818125270	2.055417653	0.9742620984	0.2742620984
80	15	1.56892653073563	1.993952903	1.100303474	0.2634242047
80	20	1.53883759615258	1.926584049	1.219234130	0.2515452581
80	25	1.51273871359983	1.853828737	1.331300708	0.2387165336
80	30	1.49058715054558	1.776093841	1.436753123	0.2250097741
80	35	1.47234701843570	1.693688673	1.535829807	0.2104795196
80	40	1.45798886417500	1.606832788	1.628742984	0.1951644837
80	45	1.44749493059753	1.515669331	1.715669331	0.1790899065

85	-45	2.23628630430591	2.078275958	-0.8782759585	0.1380812543
85	-40	2.16246330423081	2.152835130	-0.6868933483	0.1446043366
85	-35	2.09067547752776	2.208199975	-0.4960944996	0.1494481329
85	-30	2.02147307908301	2.245643602	-0.3078478037	0.1527240258
85	-25	1.95531418454050	2.266571807	-0.1237659623	0.1545550064
85	-20	1.89257138006732	2.272455534	0.05487894410	0.1550697658
85	-15	1.83353592523916	2.264769340	0.2271314806	0.1543973110
85	-10	1.77842486641400	2.244941818	0.3923196778	0.1526626276
85	-5	1.72738783775852	2.214315846	0.5500167978	0.1499832022
85	0	1.68051281089057	2.174117952	0.7000000000	0.1464663422
85	5	1.63784289087669	2.125448530	0.8422083195	0.1422083195
85	10	1.59938627781186	2.069274053	0.9767053557	0.1372936896
85	15	1.56512069314270	2.006420995	1.103644289	0.1317947595
85	20	1.53500800646090	1.937585638	1.223238382	0.1257724462
85	25	1.50899873958427	1.863338256	1.335735069	0.1192766420
85	30	1.48703804725561	1.784132092	1.441394009	0.1123470005
85	35	1.46907478432932	1.700317092	1.540471076	0.1050141382
85	40	1.45506090126795	1.612146398	1.633201632	0.09730020200
85	45	1.44495859630974	1.519790449	1.719790449	0.08922010343

90	-45	2.23691293514295	2.081736305	-0.8817363054	0.000000000
90	-40	2.16299785207407	2.156952485	-0.6903482191	0.000000000
90	-35	2.09107053790234	2.212904706	-0.4993887873	0.000000000
90	-30	2.02168966651504	2.250834610	-0.3108448333	0.000000000
90	-25	1.95532444195457	2.272125768	-0.1263558168	0.000000000
90	-20	1.89236015146822	2.278236870	0.05277470977	0.000000000
90	-15	1.83310108263219	2.270639678	0.2255585282	0.000000000
90	-10	1.77777656679241	2.250768146	0.3912923389	0.000000000
90	-5	1.72654682034998	2.219976788	0.5495215295	0.000000000
90	0	1.67950844403748	2.179508444	0.7000000000	0.000000000
90	5	1.63671090240589	2.130482723	0.8426487544	0.000000000
90	10	1.59816629535763	2.073886558	0.9775186648	0.000000000
90	15	1.56385382790982	2.010566801	1.104755154	0.000000000
90	20	1.53373463221856	1.941239116	1.224568139	0.000000000
90	25	1.50775680221859	1.866491731	1.337205559	0.000000000
90	30	1.48586125272442	1.786793591	1.442930626	0.000000000
90	35	1.46799154412698	1.702508274	1.542005358	0.000000000
90	40	1.45409327029581	1.613900069	1.634673137	0.000000000
90	45	1.44412183518470	1.521148343	1.721148343	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	1.52821693599984	1.382316459	1.582316459	0.8823164594
40	45	1.53391466365584	1.282716166	1.632804803	0.9328048025
35	45	1.54201700964781	1.184212386	1.677156556	0.9771565557
30	45	1.55220090002555	1.086676795	1.716154017	1.016154017
25	45	1.56423584234307	0.9898335918	1.750451527	1.050451527
20	45	1.57797025154008	0.8932989378	1.780579951	1.080579951
15	45	1.59332326130864	0.7966079404	1.806955904	1.106955904
10	45	1.61027451305738	0.6992296525	1.829887506	1.129887506
5	45	1.62886125393408	0.6005753175	1.849581139	1.149581139
0	45	1.64917240632969	0.5000000000	1.866140992	1.166140992
-5	45	1.67134935016474	0.3968012217	1.879567434	1.179567434
-10	45	1.69558529036163	0.2902153543	1.889747847	1.189747847
-15	45	1.72212887530764	0.1794140202	1.896443165	1.196443165
-20	45	1.75128616454874	0.06350318537	1.899265142	1.199265142
-25	45	1.78342574508408	-0.05847194821	1.897646958	1.197646958
-30	45	1.81897839008283	-0.1875092086	1.890800880	1.190800880
-35	45	1.85843820493169	-0.3246124595	1.877668640	1.177668640
-40	45	1.90234982355049	-0.4707189031	1.856857740	1.156857740
-45	45	1.95128683471459	-0.6265759793	1.826575979	1.126575979

45	50	1.50758743942404	1.416794680	1.616794680	0.7692820781
40	50	1.51101811121553	1.317031976	1.673700792	0.8170319759
35	50	1.51728422545518	1.217196112	1.724262197	0.8594580321
30	50	1.52608261397854	1.117272561	1.769147438	0.8971212211
25	50	1.53718584216868	1.017100816	1.808926280	0.9304996322
20	50	1.55043575458616	0.9164058138	1.844065571	0.9599849984
15	50	1.56574010051454	0.8148217381	1.874930722	0.9858839355
10	50	1.58306531676647	0.7119070542	1.901784624	1.008417035
5	50	1.60243465916760	0.6071551135	1.924788552	1.027719622
0	50	1.62392405115312	0.5000000000	1.943997995	1.043838259
-5	50	1.64766169465486	0.3898205459	1.959356923	1.056725929
-10	50	1.67382628130971	0.2759438017	1.970685844	1.066232023
-15	50	1.70264910200070	0.1576501110	1.977667180	1.072090059
-20	50	1.73441139105041	0.03418322262	1.979821077	1.073897394
-25	50	1.76944675917197	-0.09523210453	1.976479367	1.071093366
-30	50	1.80813278518996	-0.2313567071	1.966746975	1.062926920
-35	50	1.85088528327461	-0.3748840238	1.949463875	1.048424676
-40	50	1.89813897993729	-0.5263545021	1.923161665	1.026354502
-45	50	1.95031432240389	-0.6860259306	1.886025931	0.9951939209

45	55	1.49077847143798	1.444687346	1.644687346	0.6614772009
40	55	1.49208297878211	1.345182912	1.707249772	0.7052838834
35	55	1.49655495183410	1.244600159	1.763399233	0.7446001593
30	55	1.50393195383606	1.142983633	1.813680321	0.7798073558
25	55	1.51401030123881	1.040245724	1.858560694	0.8112329313
20	55	1.52664448292564	0.9361902707	1.898422919	0.8391447620
15	55	1.54174507513452	0.8305311254	1.933558953	0.8637472780
10	55	1.55927626830984	0.7229064995	1.964165578	0.8851782673
5	55	1.57925404438416	0.6128901022	1.990339772	0.9035056355
0	55	1.60174418040717	0.5000000000	2.012072020	0.9187227189
-5	55	1.62686114965540	0.3837067905	2.029237467	0.9307420944
-10	55	1.65476527594787	0.2634428596	2.041582210	0.9393859763
-15	55	1.68566345572307	0.1386145492	2.048708864	0.9443761132
-20	55	1.71980223411488	0.008621024484	2.050052640	0.9453170352
-25	55	1.75746748057574	-0.1271187789	2.044860561	0.9416815029
-30	55	1.79897104325284	-0.2691231869	2.032160437	0.9327887800
-35	55	1.84463838160825	-0.4177865678	2.010735057	0.9177865678
-40	55	1.89478772870986	-0.5732929963	1.979100784	0.8956360113
-45	55	1.94969350707848	-0.7354959641	1.935495964	0.8651035875

45	60	1.47721442144122	1.467063843	1.667063843	0.5583345703
40	60	1.47660647782693	1.368036235	1.734485301	0.5972603673
35	60	1.47941190997978	1.267093409	1.795522923	0.6325004547
30	60	1.48542013135918	1.164300078	1.850601486	0.6643000778
25	60	1.49446464928589	1.059607641	1.900082459	0.6928679305
20	60	1.50642466522146	0.9528712928	1.944253651	0.7183701804
15	60	1.52122502733837	0.8438647399	1.983320680	0.7409255402
10	60	1.53883693012521	0.7322932610	2.017400548	0.7606015610
5	60	1.55927588610814	0.6178046312	2.046513096	0.7774096986
0	60	1.58260147621026	0.5000000000	2.070573082	0.7913007381
-5	60	1.60891520529824	0.3784450756	2.089379143	0.8021584224
-10	60	1.63835684654223	0.2526838308	2.102599694	0.8097913109
-15	60	1.67110412544634	0.1222558957	2.109760190	0.8139254250
-20	60	1.70736241723425	-0.01327852172	2.110221148	0.8141915596
-25	60	1.74736151008389	-0.1543057762	2.103163265	0.8101166888
-30	60	1.79134150158743	-0.3011122737	2.087567161	0.8011122737
-35	60	1.83953434674744	-0.4538213556	2.062198068	0.7864654211
-40	60	1.89214366461634	-0.6123134614	2.025603564	0.7653375744
-45	60	1.94931268529472	-0.7761247048	1.976124705	0.7367709418

45	65	1.46642914014847	1.484770128	1.684770128	0.4592058520
40	65	1.46416834850830	1.386300194	1.756251440	0.4925381354
35	65	1.46549628695274	1.285238283	1.821436488	0.5229344225
30	65	1.47025667842197	1.181644563	1.880643015	0.5505428794
25	65	1.47832540289140	1.075484909	1.934131369	0.5754849087
20	65	1.48961391551645	0.9666443687	1.982094866	0.5978506545
15	65	1.50406913951167	0.8549387654	2.024649506	0.6176942090
10	65	1.52167617687838	0.7401269029	2.061827339	0.6350305171
5	65	1.54245565726986	0.6219211960	2.093565648	0.6498303336
0	65	1.56646440138219	0.5000000000	2.119698885	0.6620164624
-5	65	1.59379234253331	0.3740209693	2.139946910	0.6714582716
-10	65	1.62455810561727	0.2436378959	2.153901740	0.6779655156
-15	65	1.65890791692594	0.1085215018	2.161017645	0.6812837167
-20	65	1.69700315253559	-0.03161222286	2.160592578	0.6810855047
-25	65	1.73901480444126	-0.1769665014	2.151759347	0.6769665014
-30	65	1.78511073197552	-0.3276180899	2.133476581	0.6684411075
-35	65	1.83543372711120	-0.4834571676	2.104522394	0.6549395482
-40	65	1.89008336627470	-0.6441179257	2.063506648	0.6358135920
-45	65	1.94908968233444	-0.8088974044	2.008897404	0.6103488834

45	70	1.45805617896933	1.498463864	1.698463864	0.3634111264
40	70	1.45442711353262	1.400539223	1.773220855	0.3906204459
35	70	1.45450713024399	1.299493303	1.841794767	0.4155793087
30	70	1.45819083991086	1.195368870	1.904414212	0.4383709230
25	70	1.46539599050952	1.088130886	1.961250755	0.4590577329
20	70	1.47606809495582	0.9776786284	2.012411245	0.4776786284
15	70	1.49017916744971	0.8638553859	2.057926787	0.4942449306
10	70	1.50773174993804	0.7464605577	2.097747280	0.5087384049
5	70	1.52875503789042	0.6252601029	2.131729527	0.5211069314
0	70	1.55330591765641	0.5000000000	2.159630109	0.5312619126
-5	70	1.58146471895515	0.3704210757	2.181093882	0.5390740873
-10	70	1.61333005748155	0.2362778719	2.195642510	0.5443693549
-15	70	1.64901733801771	0.09736127513	2.202668178	0.5469264889
-20	70	1.68864508731403	-0.04647185448	2.201419081	0.5464718545
-25	70	1.73232821215927	-0.1952630777	2.190996482	0.5426783387
-30	70	1.78016709565306	-0.3489099967	2.170355245	0.5351655431
-35	70	1.83222520800126	-0.5071121360	2.138305190	0.5235002768
-40	70	1.88851305143393	-0.6693126873	2.093532596	0.5072043854
-45	70	1.94896827649929	-0.8346360886	2.034636089	0.4857678098

45	75	1.45181371175371	1.508642626	1.708642626	0.2702649772
40	75	1.44711482616028	1.411190343	1.785914365	0.2909698772
35	75	1.44620410023232	1.310221401	1.857116079	0.3100483189
30	75	1.44901864399091	1.205756809	1.922406652	0.3275428751
25	75	1.45551320591589	1.097753158	1.981885785	0.3434802608
20	75	1.46566446665152	0.9861141858	2.035587749	0.3578696587
15	75	1.47946895010041	0.8706998931	2.083470836	0.3706998931
10	75	1.49694695617092	0.7513387680	2.125412986	0.3819382584
5	75	1.51813751014129	0.6278384274	2.161199911	0.3915273362
0	75	1.54309928441855	0.5000000000	2.190519451	0.3993834833
-5	75	1.57190519764995	0.3676339349	2.212951047	0.4053940113
-10	75	1.60463629199784	0.2305800936	2.227956217	0.4094146344
-15	75	1.64138043974962	0.08873110952	2.234876395	0.4112688905
-20	75	1.68221842470708	-0.05793823106	2.232922691	0.4107453972
-25	75	1.72721638918292	-0.2093367806	2.221177635	0.4075983188
-30	75	1.77641661533346	-0.3652187656	2.198602862	0.4015494266
-35	75	1.82981783386198	-0.5251371636	2.164047597	0.3922903712
-40	75	1.88735934033981	-0.6883947109	2.116273666	0.3794893851
-45	75	1.94890783305490	-0.8539970724	2.053997072	0.3628024221

45	80	1.44749493213078	1.515669332	1.715669332	0.1790899067
40	80	1.44203000024827	1.418577143	1.794717611	0.1930282510
35	80	1.44040195176620	1.317695061	1.867789572	0.2059128093
30	80	1.44257974922893	1.213024485	1.934994635	0.2177628751
25	80	1.44854675512111	1.104511925	1.996380007	0.2285867724
20	80	1.45830436153683	0.9920606300	2.051925470	0.2383809363
15	80	1.47186931935365	0.8755398293	2.101533723	0.2471282098
10	80	1.48927702179813	0.7547972331	2.145026916	0.2547972331
5	80	1.51057536356483	0.6296700291	2.182135214	0.2613404273
0	80	1.53582534364974	0.5000000000	2.212492706	0.2666932721
-5	80	1.56509412601385	0.3656499995	2.235627532	0.2707725663
-10	80	1.59844926103723	0.2265247210	2.250955378	0.2734752790
-15	80	1.63595726900921	0.08259398064	2.257780472	0.2746787272
-20	80	1.67766946052978	-0.06607873741	2.255288549	0.2742393339
-25	80	1.72361426833307	-0.2193039338	2.242552264	0.2719935833
-30	80	1.77378938953532	-0.3767316095	2.218543692	0.2677602243
-35	80	1.82814531098540	-0.5378112792	2.182148110	0.2613427012
-40	80	1.88657013680311	-0.7017504538	2.132190421	0.2525338127
-45	80	1.94888102477577	-0.8674788385	2.067478839	0.2411234148

45	85	1.44495859703868	1.519790449	1.719790449	0.08922010347
40	85	1.43903394663112	1.422922763	1.799896519	0.09622847647
35	85	1.43697225390762	1.322104926	1.874087512	0.1027193472
30	85	1.43876200978794	1.217324978	1.942443307	0.1086997044
25	85	1.44440465383737	1.108521842	2.004979302	0.1141708950
20	85	1.45391744214461	0.9955970302	2.061641650	0.1191282081
15	85	1.46733033902218	0.8784241778	2.112298258	0.1235600871
10	85	1.48468882031539	0.7568618688	2.156736046	0.1274478898
5	85	1.50604691248677	0.6307649236	2.194649916	0.1307649236
0	85	1.53146749738257	0.5000000000	2.225639801	0.1334761872
-5	85	1.56101407473239	0.3644624649	2.249201115	0.1355375351
-10	85	1.59474584538336	0.2240974725	2.264720988	0.1368953480
-15	85	1.63271574314825	0.07892296219	2.271480899	0.1374867636
-20	85	1.67495634537263	-0.07094259032	2.268651875	0.1372392561
-25	85	1.72147227032773	-0.2252493091	2.255302162	0.1360713076
-30	85	1.77223331344608	-0.3835840907	2.230412538	0.1338937476
-35	85	1.82716031027383	-0.5453350701	2.192893197	0.1306112306
-40	85	1.88611041417684	-0.7096547407	2.141610383	0.1261245657
-45	85	1.94887147452141	-0.8754307704	2.075430770	0.1203345999

45	90	1.44412183564420	1.521148343	1.721148343	0.000000000
40	90	1.43804387408020	1.424356784	1.801605519	0.000000000
35	90	1.43583706190378	1.323562305	1.876168865	0.000000000
30	90	1.43749645359967	1.218748227	1.944908447	0.000000000
25	90	1.44302964684879	1.109850681	2.007829006	0.000000000
20	90	1.45245936465900	0.9967703601	2.064865347	0.000000000
15	90	1.46582015165148	0.8793821719	2.115873541	0.000000000
10	90	1.48316101951446	0.7575482082	2.160628471	0.000000000
5	90	1.50453817698149	0.6311291423	2.198812955	0.000000000
0	90	1.53001521368711	0.5000000000	2.230015214	0.000000000
-5	90	1.55965438712568	0.3640671635	2.253719431	0.000000000
-10	90	1.59351206127131	0.2232895345	2.269303032	0.000000000
-15	90	1.63163650868072	0.07770139687	2.276039843	0.000000000
-20	90	1.67405388278569	-0.07256014893	2.273096080	0.000000000
-25	90	1.72076066356361	-0.2272248805	2.259538789	0.000000000
-30	90	1.77171716310429	-0.3858585816	2.234352072	0.000000000
-35	90	1.82683422282066	-0.5478290633	2.196454988	0.000000000
-40	90	1.88595863369163	-0.7122708421	2.144728131	0.000000000
-45	90	1.94886856767141	-0.8780581798	2.078058180	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	1.94886856312989	-0.8780581766	2.078058177	1.687634535e-16
-90	40	2.01526524320353	-1.043782741	1.995387529	1.890588592e-16
-90	35	2.08476521629313	-1.207739689	1.895772203	2.091377944e-16
-90	30	2.15689049678889	-1.367921963	1.778445248	2.287544654e-16
-90	25	2.23107745996381	-1.522042875	1.642894078	2.476288335e-16
-90	20	2.30668066998100	-1.667570804	1.488931253	2.654508647e-16
-90	15	2.38297669837147	-1.801778736	1.316759754	2.818865962e-16
-90	10	2.45917468513684	-1.921814296	1.127031203	2.965867126e-16
-90	5	2.53443946337208	-2.024795156	0.9208909539	3.091982306e-16
-90	-2.84217e-14	2.60789720301274	-2.107897203	0.7000000000	3.193752962e-16
-90	-5	2.67865982697005	-2.168466718	0.4665394132	3.267929224e-16
-90	-10	2.74584956336483	-2.204133939	0.2231882272	3.311608972e-16
-90	-15	2.80861102272766	-2.212909923	-0.02692202297	3.322356453e-16
-90	-20	2.86612274420909	-2.193274393	-0.2802717118	3.298309865e-16
-90	-25	2.91762519155002	-2.144266431	-0.5330416869	3.238292421e-16
-90	-30	2.96243558564768	-2.065544474	-0.7812177928	3.141885828e-16
-90	-35	2.99995849495164	-1.957422134	-1.020705503	3.009474150e-16
-90	-40	3.02969612122497	-1.820881878	-1.247451128	2.842260563e-16
-90	-45	3.05125200674227	-1.657560985	-1.457560985	2.642250154e-16

-85	45	1.94887146734703	-0.8754307653	2.075430765	0.1203345994
-85	40	2.01510567154465	-1.040205301	1.992385700	0.1347505034
-85	35	2.08438030972217	-1.203056468	1.892492977	0.1489981343
-85	30	2.15621692830591	-1.362001688	1.775027176	0.1629040392
-85	25	2.23005712361916	-1.514794386	1.639514052	0.1762716682
-85	20	2.30526531313336	-1.658957017	1.485796091	0.1888842640
-85	15	2.38113229054596	-1.791828157	1.314093504	0.2005089825
-85	10	2.45688804465383	-1.910631324	1.125059343	0.2109029128
-85	5	2.53171891438191	-2.012560155	0.9198205300	0.2198205300
-85	-2.84217e-14	2.60477560911196	-2.094863652	0.7000000000	0.2270211529
-85	-5	2.67519342283104	-2.154948921	0.4677220672	0.2322779328
-85	-10	2.74211516715814	-2.190488372	0.2255943087	0.2353872319
-85	-15	2.80470300763724	-2.199512896	-0.02333230041	0.2361767754
-85	-20	2.86214882310562	-2.180496796	-0.2756210468	0.2345130823
-85	-25	2.91369768329373	-2.132444557	-0.5275290564	0.2303090561
-85	-30	2.95866490472223	-2.054955847	-0.7751044458	0.2235296724
-85	-35	2.99644596104749	-1.948265631	-1.014294050	0.2141954880
-85	-40	3.02652735941621	-1.813265031	-1.241059834	0.2023844660
-85	-45	3.04849231547989	-1.651496489	-1.451496489	0.1882315524

-80	45	1.94888100582678	-0.8674788252	2.067478825	0.2411234124
-80	40	2.01462578485797	-1.029403914	1.983322260	0.2696751744
-80	35	2.08322427375916	-1.188950490	1.882615865	0.2978075405
-80	30	2.15419832185537	-1.344212336	1.764756489	0.3251843930
-80	25	2.22700581213062	-1.493063599	1.629380820	0.3514308868
-80	20	2.30104059375858	-1.633186644	1.476416442	0.3761383601
-80	15	2.37563520350976	-1.762111730	1.306131011	0.3988713314
-80	10	2.45007930631109	-1.877281387	1.119178849	0.4191788492
-80	5	2.52362272660618	-1.976109568	0.9166315168	0.4366049240
-80	-2.84217e-14	2.59548715181657	-2.056055870	0.7000000000	0.4507016141
-80	-5	2.66487647976263	-2.114703886	0.4712430515	0.4610428416
-80	-10	2.73099438643060	-2.149849785	0.2327599881	0.4672400119
-80	-15	2.79305411921307	-2.159583625	-0.01263328441	0.4689563505
-80	-20	2.85028602151415	-2.142366279	-0.2617426736	0.4659204679
-80	-25	2.90195271449733	-2.097108769	-0.5110517079	0.4579403477
-80	-30	2.94736607585355	-2.023244411	-0.7567958399	0.4449160686
-80	-35	2.98589765787334	-1.920782715	-0.9950503055	0.4268493071
-80	-40	3.01698891397516	-1.790348256	-1.221830377	0.4038501927
-80	-45	3.04016336996044	-1.633203116	-1.433203116	0.3761412646

-75	45	1.94890778215358	-0.8539970371	2.053997037	0.3628024126
-75	40	2.01383111519336	-1.011178034	1.968028931	0.4049189337
-75	35	2.08130251565510	-1.165261913	1.866028944	0.4462055847
-75	30	2.15084939548938	-1.314478108	1.747589424	0.4861879437
-75	25	2.22195861595137	-1.456902316	1.612518536	0.5243503953
-75	20	2.29407285279217	-1.590475458	1.460870842	0.5601412107
-75	15	2.36659374276201	-1.713032874	1.292980371	0.5929803714
-75	10	2.43890198987547	-1.822355213	1.109493883	0.6222732039
-75	5	2.51034810728674	-1.916197747	0.9113899117	0.6474182351
-75	-2.84217e-14	2.58026308807057	-1.992342755	0.7000000000	0.6678212286
-75	-5	2.64795906817301	-2.048647623	0.4770222257	0.6829080722
-75	-10	2.71273677426288	-2.083104371	0.2445290055	0.6921407301
-75	-15	2.77389161779572	-2.093902463	0.004965929694	0.6950340703
-75	-20	2.83071736893077	-2.079493141	-0.2388587227	0.6911731039
-75	-25	2.88251111771137	-2.038657850	-0.4837955968	0.6802313207
-75	-30	2.92858723318711	-1.970585543	-0.7263932283	0.6619914011
-75	-35	2.96828672770308	-1.874942997	-0.9629529893	0.6363640581
-75	-40	3.00098719965552	-1.751939550	-1.189601646	0.6034053838
-75	-45	3.02611887135785	-1.602385769	-1.402385769	0.5633325689

-70	45	1.94896821104664	-0.8346360437	2.034636044	0.4857677935
-70	40	2.01273235976624	-0.9851939457	1.946225692	0.5405663883
-70	35	2.07862857230083	-1.131732960	1.842551719	0.5939022279
-70	30	2.14620050051724	-1.272685930	1.723460699	0.6452049132
-70	25	2.21497846404141	-1.406408424	1.588972848	0.6938759207
-70	20	2.28447323970803	-1.531185675	1.439291126	0.7392911259
-70	15	2.35418440948215	-1.645252155	1.274818582	0.7808079294
-70	10	2.42360327863591	-1.746808751	1.096173003	0.8177715076
-70	5	2.49221178112181	-1.834038552	0.9042019135	0.8495205585
-70	-2.84217e-14	2.55947627773051	-1.905120971	0.7000000000	0.8753924433
-70	-5	2.62484567170547	-1.958254566	0.4849305934	0.8947314903
-70	-10	2.68774806342925	-1.991684973	0.2606487118	0.9068991634
-70	-15	2.74758857784660	-2.003741973	0.02912436034	0.9112875524
-70	-20	2.80374768810107	-1.992886343	-0.2073364262	0.9073364262
-70	-25	2.85558062884073	-1.957767899	-0.4460759933	0.8945543580
-70	-30	2.90241894484041	-1.897295698	-0.6840793164	0.8725442767
-70	-35	2.94357915842147	-1.810723137	-0.9179857590	0.8410344414
-70	-40	2.97837332628463	-1.697739809	-1.144122663	0.7999118732
-70	-45	3.00611951145602	-1.558563823	-1.358563823	0.7492559570

-65	45	1.94908950687311	-0.8088972865	2.008897287	0.6103488285
-65	40	2.01134422792427	-0.9509842664	1.917520363	0.6766050753
-65	35	2.07522225777577	-1.088014914	1.811940014	0.7405035158
-65	30	2.14029730969036	-1.218697902	1.692290696	0.8014419938
-65	25	2.20615574955820	-1.341736610	1.558815886	0.8588158856
-65	20	2.27240077483092	-1.455831197	1.411864339	0.9120190650
-65	15	2.33864682557022	-1.559670849	1.251887141	0.9604402903
-65	10	2.40451490956935	-1.651925745	1.079442569	1.003459454
-65	5	2.46963166785421	-1.731243302	0.8952084945	1.040445839
-65	-2.84217e-14	2.53361748372063	-1.796237255	0.7000000000	1.070753017
-65	-5	2.59607236500141	-1.845478944	0.4947971818	1.093714794
-65	-10	2.65657101460453	-1.877503893	0.2807819169	1.108648273
-65	-15	2.71465038875965	-1.890821141	0.05938140604	1.114858207
-65	-20	2.76980125914062	-1.883938507	-0.1676826570	1.111648782
-65	-25	2.82146038434432	-1.855403459	-0.3983426710	1.098342671
-65	-30	2.86900557031410	-1.803863969	-0.6301364826	1.074309412
-65	-35	2.91175259662970	-1.728150037	-0.8601674521	1.039003426
-65	-40	2.94896122013816	-1.627381417	-1.085084962	0.9920142463
-65	-45	2.97984418148312	-1.501093305	-1.301093305	0.9331251329

-60	45	1.94931239859066	-0.7761245171	1.976124517	0.7367708335
-60	40	2.00969513048478	-0.9079581149	1.881417135	0.8128849966
-60	35	2.07111686719253	-1.033687805	1.773899762	0.8854750671
-60	30	2.13320123128541	-1.152370569	1.653996593	0.9539965926
-60	25	2.19561075902948	-1.263115614	1.522154313	1.017935274
-60	20	2.25805581406546	-1.365074474	1.378831593	1.076801250
-60	15	2.32027593057116	-1.457408031	1.224485901	1.130110054
-60	10	2.38203498796095	-1.539263639	1.059577200	1.177369411
-60	5	2.44310738836308	-1.609746019	0.8845788596	1.218062432
-60	-2.84217e-14	2.50326686324488	-1.667892696	0.7000000000	1.251633432
-60	-5	2.56227317738463	-1.712651668	0.5064180628	1.277475036
-60	-10	2.61985346025240	-1.742860381	0.3045232008	1.294916045
-60	-15	2.67568957561997	-1.757238544	0.09517475492	1.303217281
-60	-20	2.72940344275939	-1.754390994	-0.1205312183	1.301573247
-60	-25	2.78054157125808	-1.732825759	-0.3411837507	1.289122553
-60	-30	2.82856057511095	-1.690993600	-0.5649707449	1.264970745
-60	-35	2.87281459996718	-1.627354949	-0.7895899720	1.228228953
-60	-40	2.91254836680684	-1.540481686	-1.012167430	1.178072651
-60	-45	2.94690125100491	-1.429199721	-1.229199721	1.113823978

-55	45	1.94969313815831	-0.7354957303	1.935495730	0.8651034238
-55	40	2.00782743718304	-0.8554096908	1.837323772	0.9490680829
-55	35	2.06636461269441	-0.9682859070	1.728104860	1.028104860
-55	30	2.12499782117712	-1.073587322	1.608511064	1.101837705
-55	25	2.18349335586654	-1.170866820	1.479137994	1.169953543
-55	20	2.24167452795299	-1.259724783	1.340487442	1.232172558
-55	15	2.29941467087415	-1.339774682	1.192966140	1.288224101
-55	10	2.35661394997504	-1.410598075	1.036889990	1.337815174
-55	5	2.41319167423368	-1.471713928	0.8725026164	1.380608956
-55	-2.84217e-14	2.46906989031306	-1.522543648	0.7000000000	1.416200309
-55	-5	2.52415497422630	-1.562377213	0.5195653739	1.444092071
-55	-10	2.57832391509347	-1.590346918	0.3314154392	1.463676670
-55	-15	2.63140799450201	-1.605404417	0.1358585866	1.474220044
-55	-20	2.68317452460231	-1.606304305	-0.06663207134	1.474850152
-55	-25	2.73330524177143	-1.591597405	-0.2753278877	1.464552270
-55	-30	2.78137364736379	-1.559641786	-0.4891347399	1.442176705
-55	-35	2.82682231113083	-1.508640361	-0.7064651222	1.406465122
-55	-40	2.86893960344325	-1.436714515	-0.9250964351	1.356102103
-55	-45	2.90684553296680	-1.342031022	-1.142031022	1.289804007

-50	45	1.95031376967685	-0.6860255944	1.886025594	0.9951936389
-50	40	2.00580509042108	-0.7925417582	1.784571313	1.084571313
-50	35	2.06103777075588	-0.8913300097	1.674219761	1.167464498
-50	30	2.11580315211555	-0.9822955842	1.555803755	1.243793678
-50	25	2.16998369547714	-1.065426821	1.429970515	1.313549068
-50	20	2.22352907443627	-1.140740709	1.297180780	1.376744924
-50	15	2.27643671965819	-1.208237170	1.157720770	1.433381179
-50	10	2.32873621981978	-1.267860967	1.011721587	1.483411485
-50	5	2.38047491965013	-1.319467903	0.8591828152	1.526714847
-50	-2.84217e-14	2.43170344763496	-1.362792913	0.7000000000	1.563068847
-50	-5	2.48245968505311	-1.397417898	0.5339974440	1.592122658
-50	-10	2.53275666900172	-1.422743167	0.3609685027	1.613373082
-50	-15	2.58256947791103	-1.437959065	0.1807254336	1.626140737
-50	-20	2.63181489514839	-1.442014560	-0.006835494423	1.629543701
-50	-25	2.68032813508699	-1.433589437	-0.2016475621	1.622474183
-50	-30	2.72783500679237	-1.411074658	-0.4033594681	1.603582041
-50	-35	2.77391864572078	-1.372569397	-0.6111872078	1.571272291
-50	-40	2.81798331342947	-1.315909793	-0.8237292375	1.523729238
-50	-45	2.85921434586317	-1.238746579	-1.038746579	1.458981613

-45	45	1.95128646343145	-0.6265757649	1.826575765	1.126575765
-45	40	2.00372148692909	-0.7185039170	1.722446187	1.218503917
-45	35	2.05523985422852	-0.8023793411	1.611935832	1.302379341
-45	30	2.10576228548012	-0.8785450098	1.495903333	1.378545010
-45	25	2.15529782303962	-0.9473750242	1.374922058	1.447375024
-45	20	2.20391840022636	-1.009223659	1.249312489	1.509223659
-45	15	2.25173986852623	-1.064388597	1.119176661	1.564388597
-45	10	2.29890175781875	-1.113079231	0.9844293905	1.613079231
-45	5	2.34555425975904	-1.155392644	0.8448280900	1.655392644
-45	-2.84217e-14	2.39185263313924	-1.191295216	0.7000000000	1.691295216
-45	-5	2.43794303847338	-1.220596722	0.5494672923	1.720596722
-45	-10	2.48395421381797	-1.242925699	0.3926751738	1.742925699
-45	-15	2.52998786395925	-1.257700443	0.2290255858	1.757700443
-45	-20	2.57610265717114	-1.264092118	0.05792297868	1.764092118
-45	-25	2.62229225653731	-1.260981836	-0.1211593162	1.760981836
-45	-30	2.66845862943904	-1.246916237	-0.3085825596	1.746916237
-45	-35	2.71437460103980	-1.220064642	-0.5044022286	1.720064642
-45	-40	2.75963381506376	-1.178189626	-0.7081682963	1.678189626
-45	-45	2.80358831280423	-1.118652467	-0.9186524671	1.618652467


### -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	3.05125201635242	-1.657560992	-1.457560992	2.642250163e-16
-40	-90	3.06433582206681	-1.469717098	-1.647417428	2.874757240e-16
-35	-90	3.06877663794972	-1.260177968	-1.813794656	3.078510580e-16
-30	-90	3.06451962266607	-1.032259811	-1.953951844	3.250153630e-16
-25	-90	3.05163350647623	-0.7896760480	-2.065719210	3.387029178e-16
-20	-90	3.03029325694622	-0.5364213341	-2.147544212	3.487235905e-16
-15	-90	3.00079809232517	-0.2766636968	-2.198548377	3.549697992e-16
-10	-90	2.96355978253212	-0.01461675564	-2.218536650	3.574176567e-16
-5	-90	2.91908244935635	0.2455852010	-2.207974459	3.561241614e-16
-2.84217e-14	-90	2.86795806976884	0.5000000000	-2.167958070	3.512235670e-16
5	-90	2.81086689613219	0.7449831921	-2.100170699	3.429220084e-16
10	-90	2.74856098948908	0.9772826070	-2.006804172	3.314879065e-16
15	-90	2.68184900018345	1.194113597	-1.890467211	3.172407379e-16
20	-90	2.61157580462541	1.393211531	-1.754078512	3.005379395e-16
25	-90	2.53860884677185	1.572862458	-1.600760966	2.817619553e-16
30	-90	2.46382112895242	1.731910564	-1.433731688	2.613067682e-16
35	-90	2.38806898247752	1.869740097	-1.256191589	2.395643768e-16
40	-90	2.31217402112398	1.986236812	-1.071228060	2.169128775e-16
45	-90	2.23691293301950	2.081736304	-0.8817363039	1.937068302e-16

-45	-85	3.04849233094208	-1.651496499	-1.451496499	0.1882315533
-40	-85	3.06105706922335	-1.463205424	-1.639657117	0.2046934743
-35	-85	3.06501450689575	-1.253522740	-1.804290007	0.2190969858
-30	-85	3.06033683869951	-1.025795121	-1.942754672	0.2312110742
-25	-85	3.04711560946930	-0.7837374894	-2.052983930	0.2408548848
-20	-85	3.02554585351338	-0.5313182141	-2.133523505	0.2479011846
-15	-85	2.99593847190789	-0.2726518854	-2.183576093	0.2522802185
-10	-85	2.95870961578558	-0.01187809231	-2.203004919	0.2539800206
-5	-85	2.91436314998597	0.2469557744	-2.192308733	0.2530442256
-2.84217e-14	-85	2.86348198907471	0.5000000000	-2.152585576	0.2495688996
5	-85	2.80673124033228	0.7436989135	-2.085491327	0.2436989135
10	-85	2.74484270255349	0.9748775746	-1.993164555	0.2356213676
15	-85	2.67860138263339	1.190810719	-1.878140700	0.2255580842
20	-85	2.60882656596214	1.389271056	-1.743252145	0.2137568648
25	-85	2.53636039304936	1.568558381	-1.591530844	0.2004829709
30	-85	2.46205314566094	1.727508237	-1.426106633	0.1860102278
35	-85	2.38674049734463	1.865475996	-1.250101822	0.1706118022
40	-85	2.31122895436853	1.982304027	-1.066541149	0.1545523242
45	-85	2.23628630090352	2.078275956	-0.8782759560	0.1380812541

-45	-80	3.04016340558819	-1.633203141	-1.433203141	0.3761412690
-40	-80	3.05118686787161	-1.443614569	-1.616309645	0.4084278861
-35	-80	3.05371563872428	-1.233549579	-1.775765375	0.4365442336
-30	-80	3.04780299562453	-1.006438837	-1.909228605	0.4600774019
-25	-80	3.03360461289309	-0.7659930774	-2.014930916	0.4787155712
-20	-80	3.01137225868055	-0.5160963445	-2.091701762	0.4922523428
-15	-80	2.98144969802417	-0.2607014400	-2.138976424	0.5005881411
-10	-80	2.94426523954077	-0.003728067800	-2.156783833	0.5037280678
-5	-80	2.90031652270475	0.2510325291	-2.145711214	0.5017756663
-2.84217e-14	-80	2.85016121734121	0.5000000000	-2.106860864	0.4949253014
5	-80	2.79442047209310	0.7398771969	-2.041808906	0.4834548861
10	-80	2.73376755704825	0.9677144677	-1.952540558	0.4677144677
15	-80	2.66891783976706	1.180960556	-1.841379393	0.4481137552
20	-80	2.60061778558846	1.377499691	-1.710910585	0.4251085843
25	-80	2.52963555949869	1.555675184	-1.563902737	0.3991871342
30	-80	2.45675331056714	1.714300467	-1.403230105	0.3708562141
35	-80	2.38274796177517	1.852651070	-1.231785929	0.3406259802
40	-80	2.30838113574364	1.970445240	-1.052408397	0.3089968817
45	-80	2.23439288384994	2.067815042	-0.8678150419	0.2764480927

-45	-75	3.02611891445588	-1.602385799	-1.402385799	0.5633325769
-40	-75	3.03462741557277	-1.410783545	-1.577183154	0.6101693871
-35	-75	3.03485261266086	-1.200245861	-1.728202738	0.6506349627
-30	-75	3.02697145015337	-0.9743120949	-1.853583455	0.6842306245
-25	-75	3.01124001797122	-0.7366622465	-1.952030746	0.7106094967
-20	-75	2.98798976237456	-0.4910209625	-2.022807717	0.7295741288
-15	-75	2.95761168749756	-0.2410674867	-2.065701512	0.7410674867
-10	-75	2.92054792107463	0.009637323171	-2.080984934	0.7451626673
-5	-75	2.87727968159128	0.2577117308	-2.069367589	0.7420498090
-2.84217e-14	-75	2.82832261239421	0.5000000000	-2.031949856	0.7320237578
5	-75	2.77422817715732	0.7336105689	-1.970181021	0.7154728482
10	-75	2.71557811647368	0.9559480585	-1.885809935	0.6928656838
15	-75	2.65298040961969	1.164738219	-1.780836805	0.6647382186
20	-75	2.58706919700457	1.358048390	-1.657468577	0.6316818014
25	-75	2.51849770079469	1.534301818	-1.518067406	0.5943293702
30	-75	2.44793884298791	1.692289357	-1.365105744	0.5533434163
35	-75	2.37607770871350	1.831173802	-1.201113212	0.5094017498
40	-75	2.30360170566996	1.950485885	-1.028621764	0.4631828058
45	-75	2.23120100853299	2.050119294	-0.8501192936	0.4153532129

-45	-70	3.00611955098944	-1.558563850	-1.358563850	0.7492559668
-40	-70	3.01122698288683	-1.364464698	-1.521982502	0.8087354917
-35	-70	3.00839160586078	-1.153610966	-1.661601205	0.8595525438
-30	-70	2.99794292266161	-0.9296319277	-1.776195135	0.9012613233
-25	-70	2.98026044904801	-0.6961157461	-1.865078495	0.9336122208
-20	-70	2.95576153884375	-0.4565304762	-1.928045884	0.9565304762
-15	-70	2.92488480515638	-0.2141658618	-1.965303281	0.9700910597
-10	-70	2.88807940300446	0.02790165738	-1.977402748	0.9744949053
-5	-70	2.84579725230053	0.2668267004	-1.965183010	0.9700472847
-2.84217e-14	-70	2.79849382650935	0.5000000000	-1.929723998	0.9571412596
5	-70	2.74662870102348	0.7250478233	-1.872308391	0.9362436875
10	-70	2.69066768487218	0.9398285425	-1.794391617	0.9078843012
15	-70	2.63108808017273	1.142429843	-1.697580814	0.8726480507
20	-70	2.56838043465413	1.331167917	-1.583615083	0.8311679166
25	-70	2.50305546500756	1.504591413	-1.454353237	0.7841204524
30	-70	2.43564559405653	1.661488659	-1.311757370	0.7322198013
35	-70	2.36671389809721	1.800902465	-1.157881262	0.6762134782
40	-70	2.29684766169563	1.922141674	-0.9948424488	0.6168722031
45	-70	2.22665994581721	2.024796866	-0.8247968664	0.5549806727

-45	-65	2.97984429432473	-1.501093381	-1.301093381	0.9331251682
-40	-65	2.98079653328275	-1.304355727	-1.450347420	1.002723470
-35	-65	2.97430901678767	-1.093686265	-1.576019863	1.061325492
-30	-65	2.96087694933416	-0.8727301514	-1.677638367	1.108710979
-25	-65	2.94100604161121	-0.6448795982	-1.755202221	1.144879598
-20	-65	2.91518870776613	-0.4132275015	-1.809071939	1.169999460
-15	-65	2.88389350698021	-0.1805575448	-1.839875335	1.184363319
-10	-65	2.84755965171959	0.05064310641	-1.848429581	1.188352230
-5	-65	2.80659354806012	0.2781568367	-1.835678959	1.182406517
-2.84217e-14	-65	2.76137232045336	0.5000000000	-1.802653237	1.167006370
5	-65	2.71224953500286	0.7143858760	-1.750441776	1.142659766
10	-65	2.65956324512764	0.9196902697	-1.680181796	1.109896999
15	-65	2.60364456288569	1.114422810	-1.593057143	1.069270106
20	-65	2.54482906451263	1.297206672	-1.490307330	1.021357082
25	-65	2.48346623235591	1.466767760	-1.373240151	0.9667677597
30	-65	2.41993273075556	1.621936062	-1.243250262	0.9061524788
35	-65	2.35464385683069	1.761658944	-1.101835706	0.8402097886
40	-65	2.28806210484840	1.885025082	-0.9506086172	0.7696914388
45	-65	2.22069693220875	1.991293334	-0.7912933339	0.6954015022

-45	-60	2.94690137200706	-1.429199800	-1.229199800	1.113824024
-40	-60	2.94312335840836	-1.230141210	-1.361902003	1.190439677
-35	-60	2.93260769398868	-1.020593432	-1.471632479	1.253792597
-30	-60	2.91600751559780	-0.8040782056	-1.558729709	1.304078206
-25	-60	2.89392346137768	-0.5836400056	-1.623873491	1.341688986
-20	-60	2.86689545487066	-0.3618649715	-1.667954548	1.367139196
-15	-60	2.83539567039281	-0.1409259493	-1.691968207	1.381003488
-10	-60	2.79982713186011	0.07735549363	-1.696936105	1.383871706
-5	-60	2.76052965371439	0.2914396158	-1.683856099	1.376319961
-2.84217e-14	-60	2.71778808346160	0.5000000000	-1.653673522	1.358894042
5	-60	2.67184230759501	0.7018599790	-1.607270118	1.332103024
10	-60	2.62289898477327	0.8959365327	-1.545467659	1.296421358
15	-60	2.57114621732994	1.081193781	-1.469044719	1.252298553
20	-60	2.51676435737900	1.256606258	-1.378758608	1.200171842
25	-60	2.45993992122890	1.421133315	-1.275376768	1.140484309
30	-60	2.40088821830159	1.573709853	-1.159720017	1.073709853
35	-60	2.33986499022662	1.713248995	-1.032699133	1.000374311
40	-60	2.27718265867132	1.838662054	-0.8953553127	0.9210788192
45	-60	2.21322696497033	1.948897157	-0.7488971567	0.8365211635

-45	-55	2.90684528977022	-1.342030868	-1.142030868	1.289803900
-40	-55	2.89800012621410	-1.141557622	-1.256332194	1.369838549
-35	-55	2.88334982978174	-0.9345899828	-1.348806824	1.434589983
-30	-55	2.86365382064963	-0.7243123984	-1.420571278	1.484839994
-25	-55	2.83956539607181	-0.5132447988	-1.472910483	1.521488300
-20	-55	2.81162606841549	-0.3033330284	-1.507139356	1.545455615
-15	-55	2.78026923043675	-0.09605542605	-1.524509134	1.557618065
-10	-55	2.74583209838353	0.1074692897	-1.526152281	1.558768609
-5	-55	2.70856863498390	0.3063828989	-1.513053592	1.549596808
-2.84217e-14	-55	2.66866284847028	0.5000000000	-1.486040628	1.530682126
5	-55	2.62624226079099	0.6877321500	-1.445788294	1.502497139
10	-55	2.58139115546852	0.8690230384	-1.392833649	1.465417897
15	-55	2.53416401255122	1.043293503	-1.327598958	1.419740075
20	-55	2.48460092765267	1.209895960	-1.250423121	1.365700972
25	-55	2.43274003423404	1.368076921	-1.161596965	1.303504228
30	-55	2.37863831180777	1.516951265	-1.061411260	1.233353442
35	-55	2.32239187130954	1.655489383	-0.9502098586	1.155489383
40	-55	2.26415290429981	1.782518046	-0.8284454885	1.070229053
45	-55	2.20415760836940	1.896746627	-0.6967466268	0.9780125171

-45	-50	2.85921442335481	-1.238746626	-1.038746626	1.458981652
-40	-50	2.84527679283986	-1.038487264	-1.133497724	1.538487264
-35	-50	2.82668947227241	-0.8361311379	-1.208193021	1.601164060
-30	-50	2.80425434648606	-0.6342696961	-1.264612743	1.648505828
-25	-50	2.77860714771057	-0.4347080785	-1.304487943	1.681965094
-20	-50	2.75023060798500	-0.2386388059	-1.329393440	1.702863287
-15	-50	2.71947745258065	-0.04680251090	-1.340694752	1.712346214
-10	-50	2.68659189352252	0.1403763206	-1.339527235	1.711366550
-5	-50	2.65172820000601	0.3226784258	-1.326794867	1.700682825
-2.84217e-14	-50	2.61496764566942	0.5000000000	-1.303181434	1.680868802
5	-50	2.57633378848039	0.6722799354	-1.269168672	1.652328706
10	-50	2.53580515802630	0.8394395641	-1.225057428	1.615314978
15	-50	2.49332534956576	1.001330342	-1.170990308	1.569947277
20	-50	2.44881469981681	1.157686508	-1.106978831	1.516235271
25	-50	2.40218588742345	1.308082048	-1.032937545	1.454107255
30	-50	2.35335847659675	1.451890547	-0.9487227908	1.383442686
35	-50	2.30227598133502	1.588249225	-0.8541809611	1.304112671
40	-50	2.24893179193566	1.716033859	-0.7492127207	1.216033859
45	-50	2.19339555914235	1.833848590	-0.6338485901	1.119231860

-45	-45	2.80358792626256	-1.118652244	-0.9186522439	1.618652244
-40	-45	2.78490104785853	-0.9210614983	-0.9935551459	1.693555146
-35	-45	2.76291665709226	-0.7259409509	-1.050825125	1.750825125
-30	-45	2.73838196000579	-0.5350110944	-1.092691802	1.792691802
-25	-45	2.71183356227509	-0.3491987833	-1.121112668	1.821112668
-20	-45	2.68363891456810	-0.1688797420	-1.137731987	1.837731987
-15	-45	2.65403354090159	0.005933641054	-1.143880754	1.843880754
-10	-45	2.62314978856043	0.1754533363	-1.140595593	1.840595593
-5	-45	2.59103720862262	0.3400143725	-1.128644090	1.828644090
-2.84217e-14	-45	2.55768049416462	0.5000000000	-1.108553222	1.808553222
5	-45	2.52301426656580	0.6557854975	-1.080636385	1.780636385
10	-45	2.48693268419980	0.8076933345	-1.045015614	1.745015614
15	-45	2.44929490298945	0.9559528718	-1.001639283	1.701639283
20	-45	2.40993062272891	1.100659710	-0.9502989909	1.650298991
25	-45	2.36865568288640	1.241734136	-0.8906539875	1.590653987
30	-45	2.32527987876809	1.378873184	-0.8222530081	1.522253008
35	-45	2.27961716743600	1.511494875	-0.7445643891	1.444564389
40	-45	2.23151141596566	1.638681376	-0.6570276203	1.357027620
45	-45	2.18086493061613	1.759122955	-0.5591229548	1.259122955