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# N_patches = 5
# origin = 0 0 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.04912297896459	-0.6057114343	-0.6057114343	0.6057114343
-40	-45	1.04836265671408	-0.5349517926	-0.6375307207	0.6375307207
-35	-45	1.04772782430003	-0.4648900436	-0.6639317891	0.6639317891
-30	-45	1.04735842689995	-0.3958642759	-0.6856570387	0.6856570387
-25	-45	1.04707601737520	-0.3278872613	-0.7031565011	0.7031565011
-20	-45	1.04670438541432	-0.2608843371	-0.7167738252	0.7167738252
-15	-45	1.04619913060982	-0.1947570697	-0.7268432791	0.7268432791
-10	-45	1.04559745658971	-0.1293655313	-0.7336683858	0.7336683858
-5	-45	1.04496510782494	-0.06452219132	-0.7374920214	0.7374920214
-2.38542e-15	-45	1.04436592523592	-3.074533244e-17	-0.7384782278	0.7384782278
5	-45	1.04382677837244	0.06445190427	-0.7366886368	0.7366886368
10	-45	1.04334605626903	0.1290869790	-0.7320886370	0.7320886370
15	-45	1.04290917548460	0.1941446222	-0.7245575940	0.7245575940
20	-45	1.04251004738360	0.2598389253	-0.7139015800	0.7139015800
25	-45	1.04217899266991	0.3263537795	-0.6998679387	0.6998679387
30	-45	1.04198801020476	0.3938344492	-0.6821412757	0.6821412757
35	-45	1.04185506527483	0.4622842264	-0.6602102965	0.6602102965
40	-45	1.04157848998345	0.5314900114	-0.6334051305	0.6334051305
45	-45	1.04093228657774	0.6009825359	-0.6009825359	0.6009825359

-45	-40	1.05006539606155	-0.6385661912	-0.5358206555	0.6385661912
-40	-40	1.04926242265543	-0.5673531932	-0.5673531932	0.6761452063
-35	-40	1.04843802731178	-0.4955799737	-0.5938824570	0.7077615517
-30	-40	1.04782468934062	-0.4238259605	-0.6159730516	0.7340880972
-25	-40	1.04740803757567	-0.3523422715	-0.6340240503	0.7556004397
-20	-40	1.04697295377810	-0.2811890938	-0.6482553865	0.7725606858
-15	-40	1.04642104101142	-0.2104027934	-0.6588894886	0.7852339151
-10	-40	1.04577110309172	-0.1399855530	-0.6661591177	0.7938975217
-5	-40	1.04509266126194	-0.06988554703	-0.6702689740	0.7987954578
-2.38542e-15	-40	1.04445922429626	-3.331094504e-17	-0.6713654482	0.8001021848
5	-40	1.04390945830821	0.06980642602	-0.6695101282	0.7978911005
10	-40	1.04344620195603	0.1396743448	-0.6646781491	0.7921325721
15	-40	1.04305025194527	0.2097250324	-0.6567670375	0.7827044764
20	-40	1.04271301629270	0.2800449879	-0.6456177564	0.7694172806
25	-40	1.04246844625469	0.3506806203	-0.6310339838	0.7520370172
30	-40	1.04236422574598	0.4216173027	-0.6127630696	0.7302625896
35	-40	1.04221074982340	0.4926364388	-0.5903550469	0.7035577481
40	-40	1.04179203130554	0.5633138315	-0.5633138315	0.6713312825
45	-40	1.04088920619249	0.6329859629	-0.5311382880	0.6329859629

-45	-35	1.05077874850630	-0.6658651210	-0.4662437771	0.6658651210
-40	-35	1.04976555499791	-0.5946344284	-0.4962074750	0.7086577163
-35	-35	1.04857616298722	-0.5217115329	-0.5217115329	0.7450812858
-30	-35	1.04752077260040	-0.4478518528	-0.5431525022	0.7757021634
-25	-35	1.04675830152670	-0.3735157521	-0.5608712204	0.8010071154
-20	-35	1.04618561529792	-0.2989143784	-0.5750527965	0.8212605051
-15	-35	1.04563833327542	-0.2241719598	-0.5858084314	0.8366211437
-10	-35	1.04505484673105	-0.1493959232	-0.5932623084	0.8472663833
-5	-35	1.04443707769661	-0.07465968432	-0.5975319734	0.8533640967
-2.38542e-15	-35	1.04381863885630	-3.559844802e-17	-0.5987097751	0.8550461719
5	-35	1.04324402598584	0.07457440119	-0.5968494176	0.8523893061
10	-35	1.04274643240855	0.1490659236	-0.5919518555	0.8453948625
15	-35	1.04234937117058	0.2234668469	-0.5839658233	0.8339896265
20	-35	1.04208211989679	0.2977419347	-0.5727972441	0.8180392424
25	-35	1.04199105249033	0.3718146502	-0.5583168458	0.7973590904
30	-35	1.04203368538712	0.4455059307	-0.5403073795	0.7716389070
35	-35	1.04195257258312	0.5184160131	-0.5184160131	0.7403747958
40	-35	1.04152223091344	0.5899650388	-0.4923109868	0.7030929545
45	-35	1.04053107098399	0.6593712981	-0.4616967534	0.6593712981

-45	-30	1.05152145636991	-0.6883823812	-0.3974377531	0.6883823812
-40	-30	1.05018752660643	-0.6173620665	-0.4247816851	0.7357434607
-35	-30	1.04854642910924	-0.5436843178	-0.4482903570	0.7764616748
-30	-30	1.04705888125323	-0.4682589670	-0.4682589670	0.8110483219
-25	-30	1.04598941614196	-0.3916744834	-0.4849445736	0.8399486403
-20	-30	1.04522798622781	-0.3142233132	-0.4984388760	0.8633214578
-15	-30	1.04459690990404	-0.2361255161	-0.5087797767	0.8812324232
-10	-30	1.04399578988763	-0.1575951173	-0.5160162275	0.8937663236
-5	-30	1.04338847292165	-0.07882889446	-0.5202032081	0.9010183867
-2.38542e-15	-30	1.04278312055444	-3.759811933e-17	-0.5213915603	0.9030766730
5	-30	1.04222233990291	0.07874079211	-0.5196218080	0.9000113722
10	-30	1.04175108723512	0.1572562709	-0.5149067374	0.8918446304
15	-30	1.04140835135884	0.2354047596	-0.5072267623	0.8785425232
20	-30	1.04123379677615	0.3130225537	-0.4965341631	0.8600223981
25	-30	1.04126395075084	0.3899050160	-0.4827537399	0.8361540051
30	-30	1.04138464318686	0.4657213706	-0.4657213706	0.8066530760
35	-30	1.04138896590089	0.5399730844	-0.4452302905	0.7711614842
40	-30	1.04103769676390	0.6119832577	-0.4210807459	0.7293332460
45	-30	1.04009672424316	0.6809031384	-0.3931196103	0.6809031384

-45	-25	1.05240862974803	-0.7067375792	-0.3295571455	0.7067375792
-40	-25	1.05072739581698	-0.6360333465	-0.3534588853	0.7579950257
-35	-25	1.04860574564011	-0.5618611129	-0.3741749774	0.8024208284
-30	-25	1.04673810925012	-0.4852916848	-0.3919548342	0.8405498545
-25	-25	1.04534210545844	-0.4069324689	-0.4069324689	0.8726694958
-20	-25	1.04438117560633	-0.3271683953	-0.4191582549	0.8988877785
-15	-25	1.04363871517270	-0.2462837826	-0.4286036949	0.9191435899
-10	-25	1.04298555536337	-0.1645875088	-0.4352618951	0.9334221463
-5	-25	1.04236637594938	-0.08239235577	-0.4391447408	0.9417489358
-2.38542e-15	-25	1.04177823454385	-3.930904462e-17	-0.4402745066	0.9441717263
5	-25	1.04125763445905	0.08230471689	-0.4386776325	0.9407472188
10	-25	1.04084296280200	0.1642493987	-0.4343677419	0.9315046286
15	-25	1.04056771806108	0.2455590713	-0.4273424915	0.9164389305
20	-25	1.04046927078137	0.3259429312	-0.4175882274	0.8955208436
25	-25	1.04058098241395	0.4050790512	-0.4050790512	0.8686948287
30	-25	1.04075237847746	0.4825165633	-0.3897134559	0.8357432032
35	-25	1.04078762084828	0.5576720263	-0.3713852285	0.7964381927
40	-25	1.04055312628747	0.6298745895	-0.3500363173	0.7506553049
45	-25	1.03972862710818	0.6982224131	-0.3255864583	0.6982224131

-45	-20	1.05325652606058	-0.7212606727	-0.2625174160	0.7212606727
-40	-20	1.05131062433630	-0.6509411468	-0.2823540768	0.7757614502
-35	-20	1.04887297060230	-0.5765299447	-0.2996822050	0.8233700913
-30	-20	1.04670487305711	-0.4991431605	-0.3146673047	0.8645413142
-25	-20	1.04504759022545	-0.4194257178	-0.3273771599	0.8994613545
-20	-20	1.04396695627102	-0.3378439690	-0.3378439690	0.9282186763
-15	-20	1.04318352781724	-0.2547129589	-0.3459907249	0.9506017040
-10	-20	1.04253129059004	-0.1704168154	-0.3517706024	0.9664817868
-5	-20	1.04193288682226	-0.08537183351	-0.3551638005	0.9758045222
-2.38542e-15	-20	1.04138021799153	-4.074146463e-17	-0.3561730114	0.9785773063
5	-20	1.04090605345045	0.08528769887	-0.3548137837	0.9748428588
10	-20	1.04052757982914	0.1700892799	-0.3510945109	0.9646242407
15	-20	1.04026376940180	0.2540000447	-0.3450223341	0.9479410721
20	-20	1.04015485471049	0.3366103136	-0.3366103136	0.9248292358
25	-20	1.04024458711731	0.4174980515	-0.3258725456	0.8953274608
30	-20	1.04035429478075	0.4961147541	-0.3127581521	0.8592959605
35	-20	1.04030056152697	0.5718179818	-0.2972329109	0.8166407109
40	-20	1.04005133228406	0.6439697186	-0.2793301303	0.7674532257
45	-20	1.03934163059696	0.7117318764	-0.2590492178	0.7117318764

-45	-15	1.05394101546356	-0.7322219272	-0.1961982741	0.7322219272
-40	-15	1.05177787275877	-0.6622624713	-0.2114798860	0.7892536794
-35	-15	1.04919068698855	-0.5877986021	-0.2249335406	0.8394634020
-30	-15	1.04682444121958	-0.5098647147	-0.2366290376	0.8831115909
-25	-15	1.04500016206006	-0.4291628167	-0.2466050646	0.9203426305
-20	-15	1.04402727980231	-0.3462705705	-0.2549189769	0.9513705735
-15	-15	1.04344679197119	-0.2614489572	-0.2614489572	0.9757407920
-10	-15	1.04299119245749	-0.1751191786	-0.2661137978	0.9931502139
-5	-15	1.04253073863876	-0.08778881310	-0.2688684525	1.003430725
-2.38542e-15	-15	1.04204433279873	-4.190554292e-17	-0.2697009192	1.006537533
5	-15	1.04158685600934	0.08770933119	-0.2686250254	1.002522243
10	-15	1.04113927815788	0.1748082405	-0.2656412915	0.9913867963
15	-15	1.04071042234465	0.2607633248	-0.2607633248	0.9731819769
20	-15	1.04037254077758	0.3450584101	-0.2540266033	0.9480401901
25	-15	1.04022369564070	0.4272012077	-0.2454778870	0.9161359463
30	-15	1.04012083544487	0.5065996667	-0.2351137236	0.8774563619
35	-15	1.03997488188020	0.5826355394	-0.2229577857	0.8320897842
40	-15	1.03971003786279	0.6546638382	-0.2090534190	0.7801979811
45	-15	1.03908309905656	0.7218994404	-0.1934323721	0.7218994404

-45	-10	1.05443411066964	-0.7398688348	-0.1304588378	0.7398688348
-40	-10	1.05210148404348	-0.6701915880	-0.1408329295	0.7987032328
-35	-10	1.04947492647578	-0.5957715229	-0.1500277962	0.8508499129
-30	-10	1.04698662977666	-0.5174945112	-0.1580465959	0.8963267860
-25	-10	1.04499488455516	-0.4361004345	-0.1649045894	0.9352203998
-20	-10	1.04387874329695	-0.3522252595	-0.1706370760	0.9677309469
-15	-10	1.04363943195533	-0.2662791927	-0.1752280186	0.9937674763
-10	-10	1.04331269272989	-0.1784981461	-0.1784981461	1.012313291
-5	-10	1.04289240910621	-0.08952343078	-0.1804279048	1.023257496
-2.38542e-15	-10	1.04244252755325	-4.274103917e-17	-0.1810182452	1.026605483
5	-10	1.04201434635964	0.08944805658	-0.1802759936	1.022395965
10	-10	1.04159658426999	0.1782045407	-0.1782045407	1.010648172
15	-10	1.04110963134895	0.2656337272	-0.1748032628	0.9913585662
20	-10	1.04058341615025	0.3511133511	-0.1700984071	0.9646760039
25	-10	1.04023603464965	0.4341144568	-0.1641536229	0.9309614569
30	-10	1.03997980970484	0.5140312474	-0.1569888899	0.8903282371
35	-10	1.03977101449470	0.5902627544	-0.1486405724	0.8429825761
40	-10	1.03949652577020	0.6621621944	-0.1391456463	0.7891341740
45	-10	1.03892473410370	0.7289863109	-0.1285399552	0.7289863109

-45	-5	1.05475473820284	-0.7444011271	-0.06512665973	0.7444011271
-40	-5	1.05235277461952	-0.6749252394	-0.07037103221	0.8043445787
-35	-5	1.04970261864689	-0.6005444374	-0.07503608194	0.8576663412
-30	-5	1.04714841850071	-0.5220778078	-0.07911296158	0.9042652887
-25	-5	1.04505762853876	-0.4402785546	-0.08260508197	0.9441804074
-20	-5	1.04388530551804	-0.3558293217	-0.08553180692	0.9776330267
-15	-5	1.04379685400913	-0.2691949834	-0.08789542940	1.004649355
-10	-5	1.04351794674077	-0.1805361273	-0.08957712786	1.023871257
-5	-5	1.04311953828000	-0.09057051650	-0.09057051650	1.035225741
-2.38542e-15	-5	1.04268812646926	-4.324542322e-17	-0.09087625812	1.038720383
5	-5	1.04227889469836	0.09049752628	-0.09049752628	1.034391459
10	-5	1.04188015822160	0.1802527781	-0.08943653767	1.022264303
15	-5	1.04139895354642	0.2685765654	-0.08769350841	1.002341388
20	-5	1.04076024786362	0.3547640829	-0.08527575214	0.9747063071
25	-5	1.04027198946764	0.4382623843	-0.08222680799	0.9398567160
30	-5	1.03990978313697	0.5184688343	-0.07856607646	0.8980143632
35	-5	1.03965418126597	0.5947956347	-0.07431778767	0.8494562001
40	-5	1.03936668696284	0.6665966270	-0.06950265003	0.7944189250
45	-5	1.03882392153062	0.7331578328	-0.06414299895	0.7331578328

-45	-2.38542e-15	1.05491700228681	-0.7459389659	-3.105594806e-17	0.7459389659
-40	-2.38542e-15	1.05250411956048	-0.6765366072	-3.356752094e-17	0.8062649321
-35	-2.38542e-15	1.04984997799484	-0.6021692091	-3.580414114e-17	0.8599867557
-30	-2.38542e-15	1.04728182289468	-0.5236409114	-3.776032252e-17	0.9069726635
-25	-2.38542e-15	1.04516791184672	-0.4417070461	-3.943694609e-17	0.9472438173
-20	-2.38542e-15	1.04398956214472	-0.3570654597	-4.084354886e-17	0.9810292877
-15	-2.38542e-15	1.04394836752513	-0.2701937196	-4.198211318e-17	1.008376690
-10	-2.38542e-15	1.04369336510905	-0.1812354509	-4.279232459e-17	1.027837318
-5	-2.38542e-15	1.04330470492100	-0.09092999647	-4.327099577e-17	1.039334616
-2.38542e-15	-2.38542e-15	1.04287615770692	-4.341844208e-17	-4.341844208e-17	1.042876158
5	-2.38542e-15	1.04246427855702	0.09085674849	-4.323613914e-17	1.038497387
10	-2.38542e-15	1.04205550224961	0.1809510390	-4.272517080e-17	1.026224338
15	-2.38542e-15	1.04155090867773	0.2695732116	-4.188570000e-17	1.006060922
20	-2.38542e-15	1.04085894531379	0.3559947257	-4.072107111e-17	0.9780874702
25	-2.38542e-15	1.04029347693050	0.4396470209	-3.925302079e-17	0.9428260789
30	-2.38542e-15	1.03986817381063	0.5199340869	-3.749301932e-17	0.9005522551
35	-2.38542e-15	1.03957811626546	0.5962775112	-3.545382900e-17	0.8515725391
40	-2.38542e-15	1.03927929865128	0.6680358562	-3.314574163e-17	0.7961341316
45	-2.38542e-15	1.03875255634915	0.7345089766	-3.058007916e-17	0.7345089766

-45	5	1.05493409471702	-0.7445277093	0.06513773424	0.7445277093
-40	5	1.05253970554844	-0.6750451273	0.07038353232	0.8044874556
-35	5	1.04990337227890	-0.6006592903	0.07505043245	0.8578303682
-30	5	1.04737067931981	-0.5221886206	0.07912975357	0.9044572220
-25	5	1.04531133813389	-0.4403854415	0.08262513608	0.9444096269
-20	5	1.04417816125631	-0.3559291475	0.08555580236	0.9779072957
-15	5	1.04412719799227	-0.2692801790	0.08792324681	1.004967310
-10	5	1.04387426186621	-0.1805977724	0.08960771448	1.024220863
-5	5	1.04348648065787	-0.09060237686	0.09060237686	1.035589906
-2.38542e-15	5	1.04304658283598	-4.326029017e-17	0.09090749965	1.039077476
5	5	1.04260655070719	0.09052597554	0.09052597554	1.034716635
10	5	1.04215351555224	0.1803000709	0.08946000307	1.022532514
15	5	1.04159596908279	0.2686273756	0.08771009858	1.002531014
20	5	1.04086407397429	0.3547994742	0.08528425924	0.9748035437
25	5	1.04027716966649	0.4382645667	0.08222721745	0.9398613962
30	5	1.03982804765534	0.5184280834	0.07855990128	0.8979437805
35	5	1.03951482700867	0.5947159089	0.07430782619	0.8493423398
40	5	1.03921173742503	0.6664972503	0.06949228853	0.7943004925
45	5	1.03869839833925	0.7330692439	0.06413524842	0.7330692439

-45	10	1.05479654233999	-0.7401231436	0.1305036793	0.7401231436
-40	10	1.05247467127910	-0.6704293093	0.1408828839	0.7989865380
-35	10	1.04987432688385	-0.5959982566	0.1500848925	0.8511737222
-30	10	1.04742688600146	-0.5177121168	0.1581130543	0.8967036900
-25	10	1.04550044601308	-0.4363114169	0.1649843691	0.9356728531
-20	10	1.04447270522699	-0.3524256739	0.1707341677	0.9682815811
-15	10	1.04431778428007	-0.2664522708	0.1753419146	0.9944134125
-10	10	1.04404732381005	-0.1786238325	0.1786238325	1.013026094
-5	10	1.04365259297245	-0.08958868609	0.1805594221	1.024003368
-2.38542e-15	10	1.04318918138017	-4.277165262e-17	0.1811479003	1.027340794
5	10	1.04270038508626	0.08950694716	0.1803946832	1.023069087
10	10	1.04217227839428	0.1783030350	0.1783030350	1.011206761
15	10	1.04152694529874	0.2657402027	0.1748733302	0.9917559381
20	10	1.04080206488154	0.3511871275	0.1701341484	0.9648787029
25	10	1.04024291179420	0.4341173268	0.1641547081	0.9309676116
30	10	1.03979865602199	0.5139417085	0.1569615441	0.8901731512
35	10	1.03946601783601	0.5900896122	0.1485969716	0.8427353035
40	10	1.03915886647204	0.6619471044	0.1391004476	0.7888778398
45	10	1.03865180501039	0.7287948037	0.1285061873	0.7287948037

-45	15	1.05449476282297	-0.7326066413	0.1963013579	0.7326066413
-40	15	1.05234249491378	-0.6626179913	0.2115934140	0.7896773717
-35	15	1.04978395306125	-0.5881309735	0.2250607296	0.8399380775
-30	15	1.04746947558064	-0.5101788842	0.2367748442	0.8836557483
-25	15	1.04574637689905	-0.4294692738	0.2467811606	0.9209998298
-20	15	1.04493964657750	-0.3465731735	0.2551417485	0.9522019684
-15	15	1.04449774385028	-0.2617122867	0.2617122867	0.9767235509
-10	15	1.04414330140712	-0.1753126188	0.2664077524	0.9942472675
-5	15	1.04373335035142	-0.08789008192	0.2691786058	1.004588233
-2.38542e-15	15	1.04323694832101	-4.195350364e-17	0.2700095908	1.007689511
5	15	1.04269132211160	0.08780233542	0.2689098670	1.003585286
10	15	1.04207521371128	0.1749653849	0.2658800906	0.9922780067
15	15	1.04139158233485	0.2609339981	0.2609339981	0.9738189385
20	15	1.04073071910624	0.3451772064	0.2541140593	0.9483665803
25	15	1.04022704828932	0.4272025846	0.2454786782	0.9161388990
30	15	1.03980179064980	0.5064442733	0.2350416052	0.8771872125
35	15	1.03944663553071	0.5823395946	0.2228445362	0.8316671313
40	15	1.03912773720580	0.6542971868	0.2089363364	0.7797610230
45	15	1.03861379143106	0.7215733906	0.1933450073	0.7215733906

-45	20	1.05401403082571	-0.7217794052	0.2627062192	0.7217794052
-40	20	1.05207189521206	-0.6514125037	0.2825585339	0.7763231915
-35	20	1.04964846350102	-0.5769562069	0.2999037775	0.8239788568
-30	20	1.04752118434046	-0.4995324356	0.3149127095	0.8652155586
-25	20	1.04598789981239	-0.4198031074	0.3276717263	0.9002706690
-20	20	1.04521080121703	-0.3382464966	0.3382464966	0.9293246117
-15	20	1.04459819458556	-0.2550583765	0.3464599248	0.9518908200
-10	20	1.04408663982531	-0.1706710597	0.3522954078	0.9679236780
-5	20	1.04358654139131	-0.08550732738	0.3557274820	0.9773532242
-2.38542e-15	20	1.04304195560826	-4.080647607e-17	0.3567413592	0.9801388289
5	20	1.04245669413553	0.08541475219	0.3553423508	0.9762950850
10	20	1.04184868672586	0.1703052339	0.3515402784	0.9658489768
15	20	1.04123799474938	0.2542379203	0.3453454536	0.9488288356
20	20	1.04067325238481	0.3367780752	0.3367780752	0.9252901569
25	20	1.04023137733747	0.4174927498	0.3258684075	0.8953160913
30	20	1.03983073192210	0.4958650822	0.3126007551	0.8588635161
35	20	1.03945157337320	0.5713513218	0.2969903394	0.8159742513
40	20	1.03911471810928	0.6433897942	0.2790785807	0.7667620987
45	20	1.03858715653217	0.7112152193	0.2588611700	0.7112152193

-45	25	1.05338658767607	-0.7073943200	0.3298633887	0.7073943200
-40	25	1.05169016432905	-0.6366161359	0.3537827553	0.7586895671
-35	25	1.04954284983975	-0.5623632295	0.3745093651	0.8031379253
-30	25	1.04765707420637	-0.4857177379	0.3922989440	0.8412878002
-25	25	1.04629810850432	-0.4073046233	0.4073046233	0.8734675835
-20	25	1.04548343027006	-0.3275136935	0.4196006405	0.8998364774
-15	25	1.04474251525776	-0.2465442637	0.4290570058	0.9201157183
-10	25	1.04408974128700	-0.1647617540	0.4357226974	0.9344103399
-5	25	1.04347962380055	-0.08248035085	0.4396137476	0.9427547241
-2.38542e-15	25	1.04287439751666	-3.935040574e-17	0.4407377651	0.9451651874
5	25	1.04227795284579	0.08238536649	0.4391074885	0.9416690480
10	25	1.04170791874989	0.1643858924	0.4347287079	0.9322787227
15	25	1.04116988640028	0.2457011744	0.4275897912	0.9169692665
20	25	1.04067826226945	0.3260084010	0.4176721053	0.8957007204
25	25	1.04027446175436	0.4049597284	0.4049597284	0.8684389400
30	25	1.03988867745746	0.4821161318	0.3893900400	0.8350496355
35	25	1.03947734651044	0.5569699586	0.3709176821	0.7954355362
40	25	1.03909664172288	0.6289929405	0.3495463639	0.7496045965
45	25	1.03854454503342	0.6974272511	0.3252156682	0.6974272511

-45	30	1.05274243273267	-0.6891816979	0.3978992388	0.6891816979
-40	30	1.05135947336766	-0.6180510058	0.4252557161	0.7365645066
-35	30	1.04962217403103	-0.5442421049	0.4487502756	0.7772582773
-30	30	1.04800013663623	-0.4686799092	0.4686799092	0.8117774152
-25	30	1.04677360251948	-0.3919681248	0.4853081403	0.8405783563
-20	30	1.04584696769115	-0.3144093955	0.4987340503	0.8638327146
-15	30	1.04497650779865	-0.2362113222	0.5089646631	0.8815526557
-10	30	1.04420623840978	-0.1576268853	0.5161202460	0.8939464889
-5	30	1.04350827078484	-0.07883794529	0.5202629358	0.9011218381
-2.38542e-15	30	1.04285578414287	-3.760073925e-17	0.5214278921	0.9031396016
5	30	1.04225282458970	0.07874309526	0.5196370068	0.9000376973
10	30	1.04170970286216	0.1572500238	0.5148862824	0.8918092012
15	30	1.04121963920904	0.2353621022	0.5071348484	0.8783833237
20	30	1.04077524660693	0.3128847014	0.4963154938	0.8596436519
25	30	1.04039430908850	0.3895793755	0.4823505542	0.8354556669
30	30	1.04001436851909	0.4651085651	0.4651085651	0.8055916658
35	30	1.03956552094149	0.5390276056	0.4444507039	0.7698112006
40	30	1.03909290468263	0.6108399944	0.4202941130	0.7279707579
45	30	1.03849275068947	0.6798530912	0.3925133652	0.6798530912

-45	35	1.05227535260367	-0.6668134999	0.4669078392	0.6668134999
-40	35	1.05116626145289	-0.5954278515	0.4968695666	0.7096032812
-35	35	1.04978693646738	-0.5223139445	0.5223139445	0.7459416188
-30	35	1.04843486721432	-0.4482426603	0.5436264716	0.7763790618
-25	35	1.04726033693832	-0.3736948939	0.5611402196	0.8013912861
-20	35	1.04616452390023	-0.2989083522	0.5750412033	0.8212439483
-15	35	1.04517321067544	-0.2240722433	0.5855478512	0.8362489965
-10	35	1.04432347711451	-0.1492913702	0.5928471206	0.8466734336
-5	35	1.04357538047040	-0.07459808747	0.5970389885	0.8526600414
-2.38542e-15	35	1.04289943545950	-3.556709945e-17	0.5981825417	0.8542932045
5	35	1.04229329023401	0.07450643958	0.5963054930	0.8516125013
10	35	1.04175901271012	0.1489247669	0.5913913118	0.8445943231
15	35	1.04128495178456	0.2232386485	0.5833694930	0.8331379786
20	35	1.04085067678644	0.2973900889	0.5721203615	0.8170725539
25	35	1.04046284450934	0.3712693383	0.5574980055	0.7961896653
30	35	1.04009014619307	0.4446749996	0.5392996303	0.7701996921
35	35	1.03962412560780	0.5172575110	0.5172575110	0.7387202834
40	35	1.03908938496313	0.5885869655	0.4911610192	0.7014506306
45	35	1.03847406129744	0.6580677973	0.4607840323	0.6580677973

-45	40	1.05189206829434	-0.6396770279	0.5367527582	0.6396770279
-40	40	1.05094568818673	-0.5682633621	0.5682633621	0.6772299034
-35	40	1.04983208253129	-0.4962389215	0.5946721126	0.7087026266
-30	40	1.04874605539160	-0.4241986363	0.6165146848	0.7347335905
-25	40	1.04763197710259	-0.3524176036	0.6341596069	0.7557619898
-20	40	1.04635358586189	-0.2810227481	0.6478718918	0.7721036546
-15	40	1.04531689349583	-0.2101807836	0.6581942510	0.7844053633
-10	40	1.04446158492712	-0.1398102626	0.6653249509	0.7929034005
-5	40	1.04371785059100	-0.06979361318	0.6693872408	0.7977446490
-2.38542e-15	40	1.04305085302059	-3.326602784e-17	0.6704601646	0.7990233098
5	40	1.04244988988403	0.06970882440	0.6685740356	0.7967755089
10	40	1.04190944332312	0.1394686363	0.6636992296	0.7909659413
15	40	1.04141710235671	0.2093966567	0.6557387085	0.7814789616
20	40	1.04094489272085	0.2795701169	0.6445229854	0.7681125834
25	40	1.04048758869009	0.3500142708	0.6298349178	0.7506080260
30	40	1.04005664186359	0.4206839271	0.6114065359	0.7286459357
35	40	1.03956152876089	0.4913841941	0.5888544089	0.7017693574
40	40	1.03899262353241	0.5618001464	0.5618001464	0.6695273428
45	40	1.03841014290378	0.6314783940	0.5298732875	0.6314783940

-45	45	1.05137970725342	-0.6070143570	0.6070143570	0.6070143570
-40	45	1.05045030665249	-0.5360170652	0.6388002632	0.6388002632
-35	45	1.04945706786791	-0.4656573308	0.6650275888	0.6650275888
-30	45	1.04846995838847	-0.3962843953	0.6863847069	0.6863847069
-25	45	1.04722726484031	-0.3279346238	0.7032580702	0.7032580702
-20	45	1.04610805391751	-0.2607357053	0.7163654628	0.7163654628
-15	45	1.04518255499989	-0.1945678272	0.7261370166	0.7261370166
-10	45	1.04439879496525	-0.1292172281	0.7328273163	0.7328273163
-5	45	1.04370679004426	-0.06444449550	0.7366039542	0.7366039542
-2.38542e-15	45	1.04308140175913	-3.070751705e-17	0.7375699325	0.7375699325
5	45	1.04250724043913	0.06437042837	0.7357573630	0.7357573630
10	45	1.04197381179680	0.1289171994	0.7311257690	0.7311257690
15	45	1.04147196419903	0.1938770755	0.7235590963	0.7235590963
20	45	1.04097522235416	0.2594563800	0.7128505455	0.7128505455
25	45	1.04047437890952	0.3258199872	0.6987232174	0.6987232174
30	45	1.03999112241907	0.3930796965	0.6808340058	0.6808340058
35	45	1.03947555727164	0.4612284087	0.6587024325	0.6587024325
40	45	1.03887850206935	0.5301122788	0.6317632127	0.6317632127
45	45	1.03828182821592	0.5994522930	0.5994522930	0.5994522930


### +x patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	-45	1.04093275778316	0.6009828079	-0.6009828079	0.6009828079
45	-40	1.04088980663049	0.6329863281	-0.5311385944	0.6329863281
45	-35	1.04053178390456	0.6593717499	-0.4616970698	0.6593717499
45	-30	1.04009962517753	0.6809050375	-0.3931207067	0.6809050375
45	-25	1.03972413297451	0.6982193951	-0.3255850510	0.6982193951
45	-20	1.03934176466095	0.7117319682	-0.2590492512	0.7117319682
45	-15	1.03908313953230	0.7218994685	-0.1934323796	0.7218994685
45	-10	1.03892479512099	0.7289863537	-0.1285399627	0.7289863537
45	-5	1.03882397381679	0.7331578697	-0.06414300217	0.7331578697
45	-2.38542e-15	1.03875258617882	0.7345089977	-3.058008004e-17	0.7345089977
45	5	1.03869843100904	0.7330692669	0.06413525044	0.7330692669
45	10	1.03865180318825	0.7287948024	0.1285061871	0.7287948024
45	15	1.03861367921281	0.7215733126	0.1933449864	0.7215733126
45	20	1.03858693855184	0.7112150700	0.2588611157	0.7112150700
45	25	1.03854381065337	0.6974267579	0.3252154382	0.6974267579
45	30	1.03849241529222	0.6798528717	0.3925132385	0.6798528717
45	35	1.03847458657911	0.6580681301	0.4607842654	0.6580681301
45	40	1.03841219600789	0.6314796425	0.5298743351	0.6314796425
45	45	1.03828423510022	0.5994536826	0.5994536826	0.5994536826

50	-45	1.03966146583823	0.6322393490	-0.6322393490	0.5305118045
50	-40	1.03970434749937	0.6699859781	-0.5621849871	0.5621849871
50	-35	1.03935550625138	0.7016302792	-0.4912868105	0.5887377085
50	-30	1.03889191336556	0.7278299468	-0.4202128157	0.6107218399
50	-25	1.03853210596381	0.7491973403	-0.3493564572	0.6286512119
50	-20	1.03830326260400	0.7661633261	-0.2788606453	0.6428873644
50	-15	1.03813579090967	0.7790166669	-0.2087368868	0.6536725979
50	-10	1.03803386402389	0.7880237938	-0.1389498563	0.6612304747
50	-5	1.03797189777136	0.7933528461	-0.06940938021	0.6657020806
50	-2.38542e-15	1.03792839924904	0.7950992826	-3.310265739e-17	0.6671675148
50	5	1.03789991816611	0.7932978300	0.06940456692	0.6656559165
50	10	1.03787018340178	0.7878995356	0.1389279462	0.6611262097
50	15	1.03783824395223	0.7787933878	0.2086770593	0.6534852444
50	20	1.03780384379790	0.7657948053	0.2787265147	0.6425781387
50	25	1.03774278087903	0.7486279209	0.3490909326	0.6281734124
50	30	1.03770941204097	0.7270015065	0.4197345155	0.6100266960
50	35	1.03773153923492	0.7005339994	0.4905191872	0.5878178206
50	40	1.03771591430426	0.6687046308	0.5611098090	0.5611098090
50	45	1.03768638717478	0.6310382633	0.6310382633	0.5295039740

55	-45	1.03827152874606	0.6579394550	-0.6579394550	0.4606941660
55	-40	1.03827805825009	0.7009029341	-0.5881273935	0.4907775180
55	-35	1.03786482693514	0.7374701877	-0.5163821846	0.5163821846
55	-30	1.03737519935078	0.7681892402	-0.4435142646	0.5378918967
55	-25	1.03706676971467	0.7935908991	-0.3700575137	0.5556783298
55	-20	1.03698900282107	0.8140411221	-0.2962867379	0.5699977301
55	-15	1.03695634980755	0.8296746396	-0.2223106497	0.5809444369
55	-10	1.03694016801133	0.8406874994	-0.1482358885	0.5886557243
55	-5	1.03693895792995	0.8472377093	-0.07412369487	0.5932422307
55	-2.38542e-15	1.03694484513657	0.8494154897	-3.536402378e-17	0.5947671290
55	5	1.03697138061131	0.8472642005	0.07412601255	0.5932607800
55	10	1.03699409013800	0.8407312161	0.1482435969	0.5886863351
55	15	1.03700874986846	0.8297165652	0.2223218836	0.5809737935
55	20	1.03700122172873	0.8140507140	0.2962902291	0.5700044465
55	25	1.03695399037674	0.7935045974	0.3700172705	0.5556179007
55	30	1.03695442810593	0.7678776538	0.4433343701	0.5376737216
55	35	1.03700608327335	0.7368599947	0.5159549229	0.5159549229
55	40	1.03704462135552	0.7000702867	0.5874287194	0.4901944920
55	45	1.03713038691102	0.6572163279	0.6572163279	0.4601878270

60	-45	1.03700428917849	0.6788786645	-0.6788786645	0.3919507797
60	-40	1.03687591592995	0.7264175734	-0.6095367179	0.4193973815
60	-35	1.03636296269771	0.7674396663	-0.5373670395	0.4430814980
60	-30	1.03581310318833	0.8023373797	-0.4632297021	0.4632297021
60	-25	1.03548086563308	0.8315100819	-0.3877395190	0.4800725696
60	-20	1.03551625954844	0.8552999140	-0.3113037101	0.4938076356
60	-15	1.03572065309036	0.8737443239	-0.2341190860	0.5044565206
60	-10	1.03585769009925	0.8867992845	-0.1563666403	0.5119938056
60	-5	1.03596000106373	0.8946035279	-0.07826766704	0.5164995876
60	-2.38542e-15	1.03604037032240	0.8972372800	-3.735500576e-17	0.5180201852
60	5	1.03613600574872	0.8947555168	0.07828096434	0.5165873385
60	10	1.03621337435913	0.8871037863	0.1564203322	0.5121696098
60	15	1.03626639132061	0.8742047142	0.2342424472	0.5047223271
60	20	1.03626548039606	0.8559187440	0.3115289458	0.4941649173
60	25	1.03620872994489	0.8320945703	0.3880120704	0.4804100241
60	30	1.03622890247124	0.8026594564	0.4634156532	0.4634156532
60	35	1.03630276551257	0.7673950896	0.5373358265	0.4430557615
60	40	1.03642099789158	0.7260988656	0.6092692903	0.4192133755
60	45	1.03664295267915	0.6786421142	0.6786421142	0.3918142073

65	-45	1.03600737648847	0.6957234335	-0.6957234335	0.3244211650
65	-40	1.03571723658667	0.7471666927	-0.6269472963	0.3484095507
65	-35	1.03509560594143	0.7920825125	-0.5546221461	0.3693541415
65	-30	1.03442108114140	0.8306590556	-0.4795812294	0.3873426789
65	-25	1.03399074049625	0.8631931819	-0.4025135912	0.4025135912
65	-20	1.03407925719284	0.8900210268	-0.3239411616	0.4150236207
65	-15	1.03450966289519	0.9111035376	-0.2441294571	0.4248545570
65	-10	1.03480675492217	0.9261025115	-0.1632968597	0.4318486933
65	-5	1.03502005936255	0.9351117437	-0.08181167671	0.4360497673
65	-2.38542e-15	1.03518209004789	0.9381935892	-3.906015466e-17	0.4374868555
65	5	1.03535687106835	0.9354160437	0.08183829950	0.4361916647
65	10	1.03549826138434	0.9267213766	0.1634059823	0.4321372749
65	15	1.03559449670003	0.9120589621	0.2443854624	0.4253000787
65	20	1.03559702307036	0.8913273518	0.3244166250	0.4156327701
65	25	1.03553351206139	0.8644811140	0.4031141638	0.4031141638
65	30	1.03558620058811	0.8315946678	0.4801214053	0.3877789621
65	35	1.03571445200391	0.7925560699	0.5549537346	0.3695749649
65	40	1.03593874928681	0.7473264921	0.6270813839	0.3484840664
65	45	1.03628040415194	0.6959067833	0.6959067833	0.3245066624

70	-45	1.03522677535350	0.7089140603	-0.7089140603	0.2580236166
70	-40	1.03486046608110	0.7636228888	-0.6407556843	0.2779360017
70	-35	1.03415500560962	0.8118164213	-0.5684399779	0.2954770131
70	-30	1.03336852434380	0.8535259605	-0.4927834430	0.3106580438
70	-25	1.03282859706165	0.8889445969	-0.4145216732	0.3235493732
70	-20	1.03288542168951	0.9183657903	-0.3342578118	0.3342578118
70	-15	1.03347289488617	0.9417528831	-0.2523419245	0.3427700175
70	-10	1.03385701100036	0.9584402697	-0.1689988789	0.3488437295
70	-5	1.03411277975454	0.9684807339	-0.08473108506	0.3524981596
70	-2.38542e-15	1.03432679031381	0.9719492523	-4.046551645e-17	0.3537605971
70	5	1.03460381395845	0.9689406036	0.08477131845	0.3526655385
70	10	1.03486831015076	0.9593777976	0.1691641904	0.3491849617
70	15	1.03506302013862	0.9432018858	0.2527301836	0.3432974113
70	20	1.03509374574460	0.9203292697	0.3349724599	0.3349724599
70	25	1.03503955699976	0.8908475467	0.4154090333	0.3242419903
70	30	1.03510849713328	0.8549631166	0.4936131855	0.3111811259
70	35	1.03527820625008	0.8126981390	0.5690573632	0.2957979320
70	40	1.03558909938916	0.7641605468	0.6412068330	0.2781316932
70	45	1.03600577851094	0.7094475147	0.7094475147	0.2582177781

75	-45	1.03461819902064	0.7187974663	-0.7187974663	0.1926012006
75	-40	1.03423367147462	0.7760885181	-0.6512155893	0.2079522917
75	-35	1.03346617828188	0.8268821337	-0.5789891032	0.2215623999
75	-30	1.03257733536651	0.8710925896	-0.5029255411	0.2334085559
75	-25	1.03192204156840	0.9088245923	-0.4237918673	0.2435188156
75	-20	1.03190514476489	0.9403242697	-0.3422500447	0.2519591287
75	-15	1.03255304225949	0.9655539037	-0.2587193887	0.2587193887
75	-10	1.03294471933860	0.9835838274	-0.1734323666	0.2635504922
75	-5	1.03321815717305	0.9944674113	-0.08700462474	0.2664667398
75	-2.38542e-15	1.03347337843752	0.9982586270	-4.156086421e-17	0.2674825929
75	5	1.03384375278570	0.9950695440	0.08705730452	0.2666280807
75	10	1.03423153164539	0.9848091473	0.1736484235	0.2638788157
75	15	1.03456889874756	0.9674389575	0.2592244874	0.2592244874
75	20	1.03469587195706	0.9428673217	0.3431756400	0.2526405374
75	25	1.03466143348742	0.9112372036	0.4249168864	0.2441652728
75	30	1.03474274758940	0.8729193531	0.5039802235	0.2338980357
75	35	1.03494821458947	0.8280679193	0.5798193992	0.2218801303
75	40	1.03533129765681	0.7769121763	0.6519067206	0.2081729902
75	45	1.03580300000815	0.7196206028	0.7196206028	0.1928217594

80	-45	1.03417452258402	0.7256532118	-0.7256532118	0.1279522399
80	-40	1.03379463452624	0.7848055811	-0.6585300737	0.1383823986
80	-35	1.03298572126870	0.8374814765	-0.5864108429	0.1476705801
80	-30	1.03201063002715	0.8835058107	-0.5100923176	0.1557859120
80	-25	1.03124668676348	0.9229164209	-0.4303629949	0.1627350659
80	-20	1.03114034449041	0.9559217758	-0.3479270727	0.1685548005
80	-15	1.03179159660449	0.9824858084	-0.2632562789	0.1732387562
80	-10	1.03217820513667	1.001509636	-0.1765931703	0.1765931703
80	-5	1.03245861374969	1.013020142	-0.08862777832	0.1786227830
80	-2.38542e-15	1.03274344415556	1.017053751	-4.234336842e-17	0.1793340171
80	5	1.03318805636048	1.013735851	0.08869039475	0.1787489818
80	10	1.03367651173343	1.002963424	0.1768495124	0.1768495124
80	15	1.03413195146579	0.9847143257	0.2638534084	0.1736317039
80	20	1.03436423129840	0.9589104898	0.3490148756	0.1690817914
80	25	1.03438472084878	0.9257248112	0.4316725688	0.1632302609
80	30	1.03448757626935	0.8856263280	0.5113165989	0.1561598165
80	35	1.03472628450153	0.8388926184	0.5873989351	0.1479194025
80	40	1.03516746867406	0.7858477687	0.6594045729	0.1385661644
80	45	1.03567776453492	0.7267079973	0.7267079973	0.1281382270

85	-45	1.03390390968883	0.7296854973	-0.7296854973	0.06383920895
85	-40	1.03353230128619	0.7899595302	-0.6628547505	0.06911250354
85	-35	1.03269903446917	0.8437734523	-0.5908165318	0.07382061166
85	-30	1.03166531066739	0.8908948469	-0.5143583797	0.07794319949
85	-25	1.03082344116286	0.9313202163	-0.4342817490	0.08147996104
85	-20	1.03065090367436	0.9652385728	-0.3513181094	0.08444743271
85	-15	1.03130871044241	0.9926295782	-0.2659742939	0.08684383517
85	-10	1.03169314457736	1.012269084	-0.1784903513	0.08856206931
85	-5	1.03197813210599	1.024168647	-0.08960314615	0.08960314615
85	-2.38542e-15	1.03228107881668	1.028352938	-4.281379158e-17	0.08996922415
85	5	1.03277324864719	1.024957747	0.08967218341	0.08967218341
85	10	1.03332497033627	1.013870187	0.1787726689	0.08870214765
85	15	1.03385361087823	0.9950790324	0.2666306231	0.08705813465
85	20	1.03414888266672	0.9685145455	0.3525104660	0.08473404319
85	25	1.03422392235583	0.9343924562	0.4357143580	0.08174874720
85	30	1.03434349848020	0.8932075966	0.5156936464	0.07814553888
85	35	1.03460299409330	0.8453290949	0.5919058045	0.07395671275
85	40	1.03507925003128	0.7911419093	0.6638468843	0.06921594830
85	45	1.03561106306098	0.7308903337	0.7308903337	0.06394461848

90	-45	1.03381320965961	0.7310163310	-0.7310163310	0.000000000
90	-40	1.03344507083278	0.7916648538	-0.6642856868	0.000000000
90	-35	1.03260357930607	0.8458593329	-0.5922770812	0.000000000
90	-30	1.03154885040585	0.8933475097	-0.5157744252	0.000000000
90	-25	1.03067848682250	0.9341119385	-0.4355835505	0.000000000
90	-20	1.03048175611766	0.9683361021	-0.3524455179	0.000000000
90	-15	1.03114371430769	0.9960083443	-0.2668796315	0.000000000
90	-10	1.03152807208414	1.015856843	-0.1791229699	0.000000000
90	-5	1.03181481468651	1.027888448	-0.08992858655	0.000000000
90	-2.38542e-15	1.03212372383377	1.032123724	-4.297078209e-17	0.000000000
90	5	1.03263241752590	1.028702939	0.08999984533	0.000000000
90	10	1.03320565856215	1.017508943	0.1794142798	0.000000000
90	15	1.03375903480995	0.9985345499	0.2675565263	0.000000000
90	20	1.03407548100217	0.9717130988	0.3536746442	0.000000000
90	25	1.03417110069871	0.9372773217	0.4370595929	0.000000000
90	30	1.03429657496386	0.8957271090	0.5171482875	0.000000000
90	35	1.03456331783768	0.8474646568	0.5934011410	0.000000000
90	40	1.03505148132040	0.7928954356	0.6653182676	0.000000000
90	45	1.03559029310671	0.7322729188	0.7322729188	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	1.03828379188311	0.5994534267	0.5994534267	0.5994534267
40	45	1.03887897731536	0.5301125213	0.6317635017	0.6317635017
35	45	1.03947543474633	0.4612283543	0.6587023549	0.6587023549
30	45	1.03999086910528	0.3930796008	0.6808338400	0.6808338400
25	45	1.04047390626522	0.3258198392	0.6987229000	0.6987229000
20	45	1.04097501738778	0.2594563290	0.7128504051	0.7128504051
15	45	1.04147195068287	0.1938770730	0.7235590869	0.7235590869
10	45	1.04197375049413	0.1289171918	0.7311257260	0.7311257260
5	45	1.04250722554614	0.06437042745	0.7357573525	0.7357573525
0	45	1.04308138476937	0.000000000	0.7375699205	0.7375699205
-5	45	1.04370675110584	-0.06444449309	0.7366039267	0.7366039267
-10	45	1.04439873494764	-0.1292172206	0.7328272741	0.7328272741
-15	45	1.04518235294204	-0.1945677896	0.7261368763	0.7261368763
-20	45	1.04610805942162	-0.2607357067	0.7163654665	0.7163654665
-25	45	1.04722870896692	-0.3279350760	0.7032590400	0.7032590400
-30	45	1.04846863033540	-0.3962838933	0.6863838375	0.6863838375
-35	45	1.04945660645968	-0.4656571260	0.6650272964	0.6650272964
-40	45	1.05045022836726	-0.5360170253	0.6388002156	0.6388002156
-45	45	1.05138002750219	-0.6070145419	0.6070145419	0.6070145419

45	50	1.03768394080933	0.6310367757	0.6310367757	0.5295027257
40	50	1.03824756378479	0.5613972805	0.6690472259	0.5613972805
35	50	1.03884154574574	0.4910438696	0.7012833236	0.5884465782
30	50	1.03939159707929	0.4204149286	0.7281800167	0.6110155834
25	50	1.03990662720294	0.3498188386	0.7501889203	0.6294832463
20	50	1.04046752752842	0.2794419093	0.7677603359	0.6442274147
15	50	1.04102745941146	0.2093183116	0.7811865737	0.6554933659
10	50	1.04157795525314	0.1394242637	0.7907142920	0.6634880708
5	50	1.04215688768749	0.06968923129	0.7965515586	0.6683861190
0	50	1.04277242011600	0.000000000	0.7988100179	0.6702811914
-5	50	1.04344288028605	-0.06977522586	0.7975344810	0.6692108889
-10	50	1.04419139782549	-0.1397740957	0.7926982879	0.6651528410
-15	50	1.04504504107779	-0.2101261225	0.7842013653	0.6580230764
-20	50	1.04606931047389	-0.2809463992	0.7718938880	0.6476958767
-25	50	1.04731374889714	-0.3523105534	0.7555324198	0.6339669748
-30	50	1.04836993911044	-0.4240465041	0.7344700899	0.6162935815
-35	50	1.04939327422465	-0.4960315038	0.7084064034	0.5944235518
-40	50	1.05046180252068	-0.5680017173	0.6769180872	0.5680017173
-45	50	1.05138210319315	-0.6393669077	0.6393669077	0.5364925364

45	55	1.03712929695891	0.6572156372	0.6572156372	0.4601873434
40	55	1.03768890252386	0.5877936692	0.7005052170	0.4904990335
35	55	1.03823973462401	0.5165687173	0.7377365839	0.5165687173
30	55	1.03878627362184	0.4441175483	0.7692341582	0.5386235562
25	55	1.03930034557432	0.3708545227	0.7953000904	0.5568751184
20	55	1.03987064196336	0.2971100750	0.8163032221	0.5715816696
15	55	1.04046317877430	0.2230624705	0.8324804733	0.5829091028
10	55	1.04103638180389	0.1488214631	0.8440084583	0.5909810848
5	55	1.04163663099236	0.07445949949	0.8510759736	0.5959298123
0	55	1.04226675992895	0.000000000	0.8537749471	0.5978196539
-5	55	1.04295356250550	-0.07455363794	0.8521519810	0.5966832408
-10	55	1.04372313136223	-0.1492055477	0.8461867101	0.5925063131
-15	55	1.04458390166951	-0.2239459027	0.8357774870	0.5852176967
-20	55	1.04556604929447	-0.2987373571	0.8207741430	0.5747122421
-25	55	1.04660954365706	-0.3734626707	0.8008932819	0.5607915133
-30	55	1.04767477266944	-0.4479176933	0.7758162024	0.5432323532
-35	55	1.04891918934838	-0.5218822032	0.7453250283	0.5218822032
-40	55	1.05021887495326	-0.5948912092	0.7089637357	0.4964217521
-45	55	1.05127811240640	-0.6661815615	0.6661815615	0.4664653512

45	60	1.03664300234633	0.6786421467	0.6786421467	0.3918142261
40	60	1.03716757814844	0.6097081741	0.7266219070	0.4195153536
35	60	1.03764012768235	0.5380292654	0.7683854229	0.4436275308
30	60	1.03817003803407	0.4642837554	0.8041630536	0.4642837554
25	60	1.03870966056830	0.3889485529	0.8341028633	0.4815695127
20	60	1.03931633622396	0.3124461141	0.8584386433	0.4956197818
15	60	1.03996565098586	0.2350786449	0.8773254467	0.5065240828
10	60	1.04057963944240	0.1570794365	0.8908417522	0.5143277254
5	60	1.04120162777691	0.07866367643	0.8991299360	0.5191129106
0	60	1.04183230552930	0.000000000	0.9022532431	0.5209161528
-5	60	1.04250627313851	-0.07876224351	0.9002565628	0.5197633689
-10	60	1.04325177118195	-0.1574828049	0.8931293681	0.5156484811
-15	60	1.04405800851371	-0.2360037004	0.8807778005	0.5085173002
-20	60	1.04494120980157	-0.3141371006	0.8630845906	0.4983021207
-25	60	1.04582013757110	-0.3916110964	0.8398127065	0.4848660922
-30	60	1.04690888415990	-0.4681918862	0.8109321347	0.4681918862
-35	60	1.04838949175052	-0.5436029439	0.7763454607	0.4482232607
-40	60	1.05000600262327	-0.6172553560	0.7356162881	0.4247082619
-45	60	1.05130205631020	-0.6882387502	0.6882387502	0.3973548277

45	65	1.03628072337550	0.6959069977	0.6959069977	0.3245067624
40	65	1.03675732016213	0.6275768867	0.7479170093	0.3487594291
35	65	1.03713603741483	0.5557154447	0.7936439046	0.3700822306
30	65	1.03761738168817	0.4810631073	0.8332257434	0.3885395451
25	65	1.03816346910477	0.4041379577	0.8666766472	0.4041379577
20	65	1.03881145501196	0.3254235951	0.8940939792	0.4169228696
15	65	1.03953658970517	0.2453157398	0.9155308049	0.4269190256
10	65	1.04021152171116	0.1641497546	0.9309395190	0.4341042270
5	65	1.04086368497169	0.08227357771	0.9403912964	0.4385116632
0	65	1.04148865597727	0.000000000	0.9439092790	0.4401521254
-5	65	1.04212910265634	-0.08237360084	0.9415345660	0.4390447785
-10	65	1.04282016442449	-0.1645614094	0.9332741294	0.4351928737
-15	65	1.04354435456569	-0.2462615149	0.9190604855	0.4285649427
-20	65	1.04433287935005	-0.3271532658	0.8988462104	0.4191388714
-25	65	1.04510853237542	-0.4068415432	0.8724745050	0.4068415432
-30	65	1.04630657128631	-0.4850916139	0.8402033217	0.3917932433
-35	65	1.04801799867831	-0.5615461879	0.8019710689	0.3739652511
-40	65	1.04999311039218	-0.6355888639	0.7574653119	0.3532118757
-45	65	1.05154297571991	-0.7061562554	0.7061562554	0.3292860697

45	70	1.03600593329263	0.7094476207	0.7094476207	0.2582178167
40	70	1.03645624985570	0.6417437475	0.7648004166	0.2783645868
35	70	1.03678900619730	0.5698877988	0.8138841239	0.2962295952
30	70	1.03722783438572	0.4946238359	0.8567136145	0.3118182550
25	70	1.03778258225116	0.4165099356	0.8932084393	0.3251012849
20	70	1.03847604334960	0.3360670241	0.9233365601	0.3360670241
15	70	1.03929659217859	0.2537638902	0.9470597312	0.3447015522
10	70	1.04005567112436	0.1700121396	0.9641867563	0.3509352796
5	70	1.04075005214361	0.08527491674	0.9746967585	0.3547606075
0	70	1.04136591682785	0.000000000	0.9785638676	0.3561681201
-5	70	1.04195895416785	-0.08537396936	0.9758289351	0.3551726861
-10	70	1.04257309941314	-0.1704236496	0.9665205458	0.3517847095
-15	70	1.04319718363187	-0.2547162932	0.9506141478	0.3459952541
-20	70	1.04389328565257	-0.3378201281	0.9281531738	0.3378201281
-25	70	1.04462921591452	-0.4192578049	0.8991012642	0.3272460978
-30	70	1.04596763990113	-0.4987915954	0.8639323856	0.3144456728
-35	70	1.04788497304511	-0.5759868759	0.8225945087	0.2993999160
-40	70	1.05009173522965	-0.6501864459	0.7748620327	0.2820267156
-45	70	1.05182348781723	-0.7202793409	0.7202793409	0.2621602404

45	75	1.03580304806724	0.7196206362	0.7196206362	0.1928217683
40	75	1.03623302843471	0.6524745044	0.7775888347	0.2083543003
35	75	1.03654113307723	0.5807118159	0.8293424224	0.2222216323
30	75	1.03695000597362	0.5050552874	0.8747814183	0.2343969746
25	75	1.03752392411102	0.4260924600	0.9137582291	0.2448407796
20	75	1.03828335056460	0.3443654923	0.9461364141	0.2535164881
15	75	1.03922419344934	0.2603909311	0.9717921847	0.2603909311
10	75	1.04007886862581	0.1746301968	0.9903770601	0.2653707335
5	75	1.04080269819134	0.08764329929	1.001767495	0.2684227913
0	75	1.04138672401742	0.000000000	1.005902332	0.2695307175
-5	75	1.04193737692964	-0.08773884765	1.002859618	0.2687154247
-10	75	1.04247665185237	-0.1750327868	0.9926602615	0.2659825154
-15	75	1.04297792149477	-0.2613314757	0.9753023451	0.2613314757
-20	75	1.04353811204456	-0.3461083292	0.9509248191	0.2547995373
-25	75	1.04426773414800	-0.4288620217	0.9196975736	0.2464322221
-30	75	1.04574890430319	-0.5093408654	0.8822042572	0.2363859183
-35	75	1.04782017157129	-0.5870307846	0.8383668449	0.2246397190
-40	75	1.05014100399969	-0.6612318005	0.7880253738	0.2111507625
-45	75	1.05202957842694	-0.7308939628	0.7308939628	0.1958424471

45	80	1.03567777150622	0.7267080022	0.7267080022	0.1281382279
40	80	1.03609422264954	0.6599949178	0.7865513143	0.1386902184
35	80	1.03638542685592	0.5883408059	0.8402377493	0.1481565854
30	80	1.03677269553971	0.5124460657	0.8875826220	0.1565047639
25	80	1.03736803452686	0.4329175743	0.9283947341	0.1637010404
20	80	1.03819174241507	0.3503063533	0.9624587955	0.1697074535
15	80	1.03922724239838	0.2651534454	0.9895661302	0.1744872079
10	80	1.04008810102340	0.1779464576	1.009184510	0.1779464576
5	80	1.04074340487353	0.08933895707	1.021148952	0.1800561116
0	80	1.04127656407899	0.000000000	1.025457233	0.1808157778
-5	80	1.04179913451121	-0.08942958247	1.022184805	0.1802387604
-10	80	1.04233362044511	-0.1783306387	1.011363309	0.1783306387
-15	80	1.04275760853180	-0.2660542001	0.9929277922	0.1750799597
-20	80	1.04307510063896	-0.3519540946	0.9669859276	0.1705057090
-25	80	1.04394593935843	-0.4356626855	0.9342816441	0.1647390614
-30	80	1.04558078409627	-0.5167996433	0.8951232395	0.1578343782
-35	80	1.04775924847179	-0.5947975576	0.8494589463	0.1497825312
-40	80	1.05011993179624	-0.6689293337	0.7971989366	0.1405676815
-45	80	1.05214876792227	-0.7382652696	0.7382652696	0.1301760859

45	85	1.03561106262585	0.7308903334	0.7308903334	0.06394461845
40	85	1.03602215539838	0.6644516155	0.7918625999	0.06927900056
35	85	1.03630629055680	0.5928802759	0.8467207843	0.07407846980
30	85	1.03668368414498	0.5168603950	0.8952284646	0.07832234192
25	85	1.03729962900692	0.4370101408	0.9371712713	0.08199186202
20	85	1.03817536971024	0.3538829752	0.9722854834	0.08506395751
15	85	1.03926256950486	0.2680255924	1.000285129	0.08751360904
10	85	1.04007562377678	0.1799405806	1.020493743	0.08928163375
5	85	1.04068029308977	0.09035872515	1.032804954	0.09035872515
0	85	1.04117423584507	0.000000000	1.037212254	0.09074431385
-5	85	1.04167605143431	-0.09044518346	1.033793177	0.09044518346
-10	85	1.04220522178691	-0.1803090164	1.022583247	0.08946444161
-15	85	1.04261295228760	-0.2688896554	1.003509856	0.08779573610
-20	85	1.04283083125982	-0.3554698830	0.9766454768	0.08544540750
-25	85	1.04374783954965	-0.4397267458	0.9429970496	0.08250155158
-30	85	1.04547284064996	-0.5212424133	0.9028183430	0.07898637023
-35	85	1.04771572653194	-0.5994077183	0.8560429381	0.07489405257
-40	85	1.05010258130652	-0.6734820805	0.8026246890	0.07022056135
-45	85	1.05221161421007	-0.7426062981	0.7426062981	0.06496963255

45	90	1.03559029257441	0.7322729184	0.7322729184	0.000000000
40	90	1.03600013431850	0.6659280500	0.7936221460	0.000000000
35	90	1.03628231005406	0.5943871145	0.8488727727	0.000000000
30	90	1.03665668649652	0.5183283432	0.8977710255	0.000000000
25	90	1.03728023236221	0.4383735687	0.9400951519	0.000000000
20	90	1.03817291142935	0.3550760480	0.9755634240	0.000000000
15	90	1.03926582412888	0.2689817882	1.003853700	0.000000000
10	90	1.04006649262755	0.1806056511	1.024265546	0.000000000
5	90	1.04065443709148	0.09069901041	1.036694433	0.000000000
0	90	1.04113407056629	0.000000000	1.041134071	0.000000000
-5	90	1.04162783726353	-0.09078384782	1.037664129	0.000000000
-10	90	1.04215408405340	-0.1809681575	1.026321422	0.000000000
-15	90	1.04255453630445	-0.2698329696	1.007030352	0.000000000
-20	90	1.04275078647446	-0.3566417734	0.9798652194	0.000000000
-25	90	1.04368099371069	-0.4410786474	0.9458962118	0.000000000
-30	90	1.04543592175343	-0.5227179609	0.9053740663	0.000000000
-35	90	1.04770185860500	-0.6009370984	0.8582271193	0.000000000
-40	90	1.05010337591014	-0.6749934389	0.8044258558	0.000000000
-45	90	1.05223281387268	-0.7440409581	0.7440409581	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	1.05223288174801	-0.7440410061	0.7440410061	9.111573435e-17
-90	40	1.05235812789329	-0.8061530960	0.6764427656	9.872202036e-17
-90	35	1.05046109138376	-0.8604873505	0.6025197293	1.053758277e-16
-90	30	1.04805906737637	-0.9076457770	0.5240295337	1.111508786e-16
-90	25	1.04556181629204	-0.9476008159	0.4418735173	1.160437980e-16
-90	20	1.04332575417916	-0.9804055123	0.3568384240	1.200610820e-16
-90	15	1.04137748346484	-1.005893406	0.2695283259	1.231823456e-16
-90	10	1.03962202817050	-1.023827834	0.1805284707	1.253786070e-16
-90	5	1.03822275961296	-1.034272009	0.09048707575	1.266576073e-16
-90	0	1.03751903615868	-1.037519036	1.270552404e-16	1.270552404e-16
-90	-5	1.03783264218217	-1.033883376	-0.09045307478	1.266100151e-16
-90	-10	1.03882809148697	-1.023045959	-0.1803906050	1.252828581e-16
-90	-15	1.04015571757570	-1.004713271	-0.2692121096	1.230378255e-16
-90	-20	1.04164418312925	-0.9788253524	-0.3562632928	1.198675746e-16
-90	-25	1.04337992860175	-0.9456233541	-0.4409514118	1.158016368e-16
-90	-30	1.04532731351690	-0.9052800088	-0.5226636568	1.108611651e-16
-90	-35	1.04710928934982	-0.8577417150	-0.6005972147	1.050395954e-16
-90	-40	1.04828270518506	-0.8030311411	-0.6738231343	9.833970377e-17
-90	-45	1.04720305894879	-0.7404843843	-0.7404843843	9.068018819e-17

-85	45	1.05221172686351	-0.7426063776	0.7426063776	0.06496963950
-85	40	1.05233853334986	-0.8043336937	0.6749161057	0.07037007989
-85	35	1.05047554069214	-0.8582978621	0.6009866331	0.07509133287
-85	30	1.04812290678489	-0.9051068083	0.5225636594	0.07918658500
-85	25	1.04568967939517	-0.9447514477	0.4405448351	0.08265504152
-85	20	1.04353029189177	-0.9773005447	0.3557083082	0.08550271852
-85	15	1.04166241989108	-1.002594973	0.2686445133	0.08771569423
-85	10	1.03998635778929	-1.020406158	0.1799251370	0.08927397103
-85	5	1.03865023895967	-1.030790263	0.09018246247	0.09018246247
-85	0	1.03797329072973	-1.034023489	1.266271735e-16	0.09046533311
-85	-5	1.03826310506693	-1.030406059	-0.09014884895	0.09014884895
-85	-10	1.03919865300143	-1.019633284	-0.1797888584	0.08920635328
-85	-15	1.04045048557413	-1.001428492	-0.2683319557	0.08761364038
-85	-20	1.04186246499298	-0.9757385698	-0.3551397958	0.08536606342
-85	-25	1.04352583792272	-0.9427964773	-0.4396332175	0.08248400378
-85	-30	1.04541410510389	-0.9027676219	-0.5212131295	0.07898193271
-85	-35	1.04715138470269	-0.8555818389	-0.5990848532	0.07485371162
-85	-40	1.04829132109992	-0.8012402888	-0.6723204308	0.07009944203
-85	-45	1.04721884370268	-0.7390826126	-0.7390826126	0.06466135001

-80	45	1.05214878698962	-0.7382652829	0.7382652829	0.1301760883
-80	40	1.05227977100744	-0.7988385794	0.6703051573	0.1408567948
-80	35	1.05053332791290	-0.8517079998	0.5963723618	0.1501791001
-80	30	1.04832166946918	-0.8974697155	0.5181543818	0.1582481252
-80	25	1.04607179050900	-0.9361841791	0.4365498521	0.1650745297
-80	20	1.04413232793309	-0.9679660333	0.3523108239	0.1706785281
-80	15	1.04249142443223	-0.9926743281	0.2659862846	0.1750352671
-80	10	1.04103538014500	-1.010103643	0.1781085255	0.1781085255
-80	5	1.03987222793221	-1.020294177	0.08926417395	0.1799053917
-80	0	1.03926846656344	-1.023479643	1.253359674e-16	0.1804670753
-80	-5	1.03949413473886	-1.019923202	-0.08923171787	0.1798399788
-80	-10	1.04026644303018	-1.009357553	-0.1779769697	0.1779769697
-80	-15	1.04130887957231	-0.9915482930	-0.2656845644	0.1748367167
-80	-20	1.04250526475292	-0.9664576595	-0.3517618207	0.1704125611
-80	-25	1.04396103645318	-0.9342951552	-0.4356689859	0.1647414438
-80	-30	1.04568057341834	-0.8952086693	-0.5168489662	0.1578494418
-80	-35	1.04729541533329	-0.8490828989	-0.5945342464	0.1497162239
-80	-40	1.04831572134237	-0.7958292696	-0.6677800466	0.1403261723
-80	-45	1.04725852519271	-0.7348339142	-0.7348339142	0.1295710454

-75	45	1.05202895596777	-0.7308935304	0.7308935304	0.1958423312
-75	40	1.05217341509429	-0.7895504942	0.6625115285	0.2115594173
-75	35	1.05068194338898	-0.8406565647	0.5886340636	0.2252532476
-75	30	1.04866489556639	-0.8846642166	0.5107611236	0.2370450624
-75	25	1.04670219863242	-0.9218416320	0.4298618126	0.2470067208
-75	20	1.04510420888328	-0.9523519259	0.3466277536	0.2551819295
-75	15	1.04380321873192	-0.9760740914	0.2615382645	0.2615382645
-75	10	1.04266542835044	-0.9928400170	0.1750644825	0.2660306808
-75	5	1.04174738081560	-1.002676747	0.08772284857	0.2686664247
-75	0	1.04124719408631	-1.005767556	1.231669340e-16	0.2694946045
-75	-5	1.04138450214790	-1.002327478	-0.08769229149	0.2685728384
-75	-10	1.04192782600421	-0.9921376621	-0.1749406384	0.2658424853
-75	-15	1.04266927445235	-0.9750137252	-0.2612541403	0.2612541403
-75	-20	1.04354380283724	-0.9509300048	-0.3461102166	0.2548009268
-75	-25	1.04467662406174	-0.9200576872	-0.4290299455	0.2465287143
-75	-30	1.04612850168277	-0.8825244893	-0.5095257515	0.2364717242
-75	-35	1.04757115028798	-0.8381676015	-0.5868912729	0.2245863320
-75	-40	1.04834232348583	-0.7866756447	-0.6600992433	0.2107891037
-75	-45	1.04729677670973	-0.7276058650	-0.7276058650	0.1949614039

-70	45	1.05182296863775	-0.7202789854	0.7202789854	0.2621601110
-70	40	1.05198852924015	-0.7762616758	0.6513608859	0.2825361440
-70	35	1.05082578880834	-0.8249030626	0.5776033427	0.3002401609
-70	30	1.04914099421179	-0.8665534644	0.5003048759	0.3153996674
-70	25	1.04758713368616	-0.9016471126	0.4204449535	0.3281727108
-70	20	1.04643342587898	-0.9304116797	0.3386421570	0.3386421570
-70	15	1.04554736788902	-0.9527557548	0.2552901351	0.3467747353
-70	10	1.04477855667552	-0.9685651216	0.1707841635	0.3525288742
-70	5	1.04413639103772	-0.9778681766	0.08555237987	0.3559149093
-70	0	1.04375268408183	-0.9808066952	1.201102111e-16	0.3569844426
-70	-5	1.04379487979377	-0.9775483400	-0.08552439780	0.3557984983
-70	-10	1.04408468072053	-0.9679218618	-0.1706707395	0.3522947468
-70	-15	1.04448077146087	-0.9517838181	-0.2550297054	0.3464209793
-70	-20	1.04496479522823	-0.9291058813	-0.3381668853	0.3381668853
-70	-25	1.04567759527747	-0.9000035932	-0.4196785679	0.3275745186
-70	-30	1.04674268794871	-0.8645725480	-0.4991611933	0.3146786728
-70	-35	1.04786891289638	-0.8225819014	-0.5759780482	0.2993953274
-70	-40	1.04834010302544	-0.7735695044	-0.6491018858	0.2815562737
-70	-45	1.04730878182601	-0.7171877105	-0.7171877105	0.2610349790

-65	45	1.05154239204392	-0.7061558634	0.7061558634	0.3292858870
-65	40	1.05176488097032	-0.7587434677	0.6366613639	0.3538078896
-65	35	1.05099187181941	-0.8042467553	0.5631396406	0.3750264210
-65	30	1.04981921260634	-0.8430240369	0.4867201546	0.3931085644
-65	25	1.04878989926307	-0.8755477731	0.4082746317	0.4082746317
-65	20	1.04815521541238	-0.9021360545	0.3283506711	0.4206729509
-65	15	1.04771674641062	-0.9227351549	0.2472461396	0.4302784692
-65	10	1.04732078598947	-0.9373019702	0.1652716264	0.4370710867
-65	5	1.04694820277921	-0.9458884885	0.08275451970	0.4410750459
-65	0	1.04667898061124	-0.9486133107	1.161677888e-16	0.4423456514
-65	-5	1.04663392806130	-0.9456045500	-0.08272967831	0.4409426433
-65	-10	1.04668248836863	-0.9367307244	-0.1651709004	0.4368047104
-65	-15	1.04673553655776	-0.9218709931	-0.2470145881	0.4298755039
-65	-20	1.04680295964698	-0.9009721823	-0.3279270563	0.4201302284
-65	-25	1.04702842460660	-0.8740772639	-0.4075889220	0.4075889220
-65	-30	1.04760064507795	-0.8412424866	-0.4856915761	0.3922778139
-65	-35	1.04823858014224	-0.8021398637	-0.5616643793	0.3740439614
-65	-40	1.04835979845469	-0.7562870403	-0.6346001766	0.3526624386
-65	-45	1.04731995500664	-0.7033203157	-0.7033203157	0.3279636493

-60	45	1.05130163829395	-0.6882384765	0.6882384765	0.3973546697
-60	40	1.05167553638570	-0.7367859349	0.6182368063	0.4253835579
-60	35	1.05136749729634	-0.7785507109	0.5451470766	0.4494964625
-60	30	1.05081452217092	-0.8139574289	0.4699385407	0.4699385407
-60	25	1.05037708653001	-0.8434720199	0.3933174623	0.4869787977
-60	20	1.05024000770236	-0.8674612108	0.3157300601	0.5008289636
-60	15	1.05018982388699	-0.8859506614	0.2373897643	0.5115038529
-60	10	1.05009391603635	-0.8989869383	0.1585156525	0.5190303508
-60	5	1.04993943167604	-0.9066754688	0.07932382502	0.5234693260
-60	0	1.04976805824727	-0.9091258065	1.113321239e-16	0.5248840291
-60	-5	1.04965783508536	-0.9064322960	-0.07930255015	0.5233289301
-60	-10	1.04952250420494	-0.8984977518	-0.1584293958	0.5187479189
-60	-15	1.04931185843093	-0.8852100010	-0.2371913049	0.5110762324
-60	-20	1.04902850315344	-0.8664605507	-0.3153658496	0.5002512322
-60	-25	1.04879623914626	-0.8422025705	-0.3927255083	0.4862458808
-60	-30	1.04881207590166	-0.8124063407	-0.4690430195	0.4690430195
-60	-35	1.04887257944328	-0.7767031932	-0.5438534308	0.4484297977
-60	-40	1.04858185249856	-0.7346185528	-0.6164181567	0.4241322192
-60	-45	1.04745461547497	-0.6857200089	-0.6857200089	0.3959006317

-55	45	1.05127823839409	-0.6661816413	0.6661816413	0.4664654071
-55	40	1.05181713714707	-0.7100426632	0.5957965368	0.4971772252
-55	35	1.05191503111101	-0.7474537679	0.5233727627	0.5233727627
-55	30	1.05191729518618	-0.7789578431	0.4497315204	0.5454321537
-55	25	1.05207992021929	-0.8050793586	0.3754146704	0.5637226358
-55	20	1.05240430952323	-0.8261422086	0.3006911732	0.5784710021
-55	15	1.05264241227931	-0.8422251469	0.2256735480	0.5897323967
-55	10	1.05273712556332	-0.8534947038	0.1504941442	0.5976234254
-55	5	1.05274380118442	-0.8601511591	0.07525347534	0.6022843256
-55	0	1.05265126926519	-0.8622814391	1.055955329e-16	0.6037759637
-55	-5	1.05249827352635	-0.8599505491	-0.07523592424	0.6021438570
-55	-10	1.05223987392158	-0.8530915627	-0.1504230595	0.5973411430
-55	-15	1.05188160466570	-0.8416164204	-0.2255104402	0.5893061619
-55	-20	1.05135140648740	-0.8253156749	-0.3003903395	0.5778922570
-55	-25	1.05070038922268	-0.8040237051	-0.3749224110	0.5629834592
-55	-30	1.05016614491934	-0.7776610945	-0.4489828422	0.5445241605
-55	-35	1.04973063151037	-0.7459016105	-0.5222859304	0.5222859304
-55	-40	1.04910461404871	-0.7082115396	-0.5942600417	0.4958950587
-55	-45	1.04789322974714	-0.6640366044	-0.6640366044	0.4649634361

-50	45	1.05138188520797	-0.6393667751	0.6393667751	0.5364924252
-50	40	1.05199374985130	-0.6779052748	0.5688300661	0.5688300661
-50	35	1.05235094751079	-0.7104030187	0.4974295489	0.5960989110
-50	30	1.05273051447414	-0.7375250346	0.4258102772	0.6188569845
-50	25	1.05331464121721	-0.7598614652	0.3543292203	0.6375994752
-50	20	1.05398165965994	-0.7777324055	0.2830714458	0.6525949746
-50	15	1.05452315219226	-0.7913137360	0.2120318765	0.6639910640
-50	10	1.05486358270172	-0.8008000810	0.1412026604	0.6719510526
-50	5	1.05500814332728	-0.8063741562	0.07054859722	0.6766282570
-50	0	1.05497749512297	-0.8081596478	9.896774395e-17	0.6781264624
-50	-5	1.05479902568089	-0.8062143213	-0.07053461349	0.6764941397
-50	-10	1.05443931644096	-0.8004779991	-0.1411458687	0.6716807938
-50	-15	1.05387164724237	-0.7908248469	-0.2119008791	0.6635808374
-50	-20	1.05308311983394	-0.7770693735	-0.2828301219	0.6520386247
-50	-25	1.05214209208901	-0.7590155879	-0.3539347813	0.6368896999
-50	-30	1.05124802648769	-0.7364864288	-0.4252106379	0.6179854908
-50	-35	1.05050964528742	-0.7091600240	-0.4965591946	0.5950559146
-50	-40	1.04971516436385	-0.6764369532	-0.5675979980	0.5675979980
-50	-45	1.04853802708538	-0.6376373670	-0.6376373670	0.5350412795

-45	45	1.05138011294133	-0.6070145912	0.6070145912	0.6070145912
-45	40	1.05189236524905	-0.6396772084	0.5367529097	0.6396772084
-45	35	1.05227567325220	-0.6668137031	0.4669079815	0.6668137031
-45	30	1.05274258938626	-0.6891818005	0.3978992980	0.6891818005
-45	25	1.05338573467756	-0.7073937471	0.3298631216	0.7073937471
-45	20	1.05401300710553	-0.7217787042	0.2627059640	0.7217787042
-45	15	1.05449360628382	-0.7326058378	0.1963011426	0.7326058378
-45	10	1.05479643686628	-0.7401230696	0.1305036662	0.7401230696
-45	5	1.05493410891027	-0.7445277193	0.06513773512	0.7445277193
-45	0	1.05491701731452	-0.7459389765	9.134816102e-17	0.7459389765
-45	-5	1.05475475038500	-0.7444011357	-0.06512666049	0.7444011357
-45	-10	1.05443397955089	-0.7398687428	-0.1304588215	0.7398687428
-45	-15	1.05393986383247	-0.7322211271	-0.1961980597	0.7322211271
-45	-20	1.05325550039499	-0.7212599703	-0.2625171604	0.7212599703
-45	-25	1.05240777098375	-0.7067370025	-0.3295568766	0.7067370025
-45	-30	1.05152158981119	-0.6883824686	-0.3974378036	0.6883824686
-45	-35	1.05077911219475	-0.6658653514	-0.4662439385	0.6658653514
-45	-40	1.05006573643941	-0.6385663982	-0.5358208292	0.6385663982
-45	-45	1.04912336229515	-0.6057116556	-0.6057116556	0.6057116556


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	1.04720308680771	-0.7404844040	-0.7404844040	9.068019060e-17
-40	-90	1.04381868369369	-0.6709537166	-0.7996115023	9.792093263e-17
-35	-90	1.03991337093329	-0.5964698054	-0.8518471637	1.043177449e-16
-30	-90	1.03590863733144	-0.5179543187	-0.8971231959	1.098622766e-16
-25	-90	1.03210805209697	-0.4361877109	-0.9354075647	1.145506047e-16
-20	-90	1.02866731134067	-0.3518249413	-0.9666310817	1.183742564e-16
-15	-90	1.02542518577305	-0.2653995674	-0.9904846699	1.212953820e-16
-10	-90	1.02254663242244	-0.1775633593	-1.007011851	1.233193112e-16
-5	-90	1.02045117079258	-0.08893817973	-1.016568046	1.244895688e-16
-1.42109e-14	-90	1.01958611685742	1.248591637e-16	-1.019586117	1.248591637e-16
5	-90	1.01993441055288	0.08889314111	-1.016053252	1.244265268e-16
10	-90	1.02111893937536	0.1773154430	-1.005605848	1.231471311e-16
15	-90	1.02280382643386	0.2647211097	-0.9879526312	1.209853069e-16
20	-90	1.02484805380155	0.3505186782	-0.9630421536	1.179347540e-16
25	-90	1.02731861730126	0.4341636083	-0.9310668626	1.140190396e-16
30	-90	1.02980015984715	0.5149000799	-0.8918330992	1.092144480e-16
35	-90	1.03188583657438	0.5918654009	-0.8452713925	1.035124718e-16
40	-90	1.03329834248931	0.6641913717	-0.7915524533	9.693401638e-17
45	-90	1.03381321812608	0.7310163370	-0.7310163370	8.952072511e-17

-45	-85	1.04721890046753	-0.7390826526	-0.7390826526	0.06466135351
-40	-85	1.04389719317997	-0.6695022619	-0.7978817259	0.06980560585
-35	-85	1.04002104269648	-0.5950055195	-0.8497559467	0.07434401210
-30	-85	1.03607449975653	-0.5165566734	-0.8947024032	0.07827631751
-25	-85	1.03235839693609	-0.4349284197	-0.9327070060	0.08160128942
-20	-85	1.02901587582554	-0.3507607773	-0.9637073152	0.08431346504
-15	-85	1.02588218510312	-0.2645747941	-0.9874065742	0.08638688153
-10	-85	1.02310573476258	-0.1770046675	-1.003843353	0.08782491332
-5	-85	1.02107981187585	-0.08865688213	-1.013352800	0.08865688213
-1.42109e-14	-85	1.02022877176318	1.244624373e-16	-1.016346493	0.08891879638
5	-85	1.02053543492358	0.08860961573	-1.012812542	0.08860961573
10	-85	1.02164266977362	0.1767515467	-1.002407833	0.08769932165
15	-85	1.02323660829213	0.2638925005	-0.9848602195	0.08616410436
20	-85	1.02519005883838	0.3494566705	-0.9601243114	0.08399999282
25	-85	1.02757482472524	0.4329131201	-0.9283851820	0.08122317881
30	-85	1.02998786157928	0.5135220522	-0.8894462853	0.07781646678
35	-85	1.03202840339042	0.5904328577	-0.8432255088	0.07377267282
40	-85	1.03341855497502	0.6627817994	-0.7898725906	0.06910489730
45	-85	1.03390392912029	0.7296855110	-0.7296855110	0.06383921015

-45	-80	1.04725870166035	-0.7348340380	-0.7348340380	0.1295710672
-40	-80	1.04410766238707	-0.6650995013	-0.7926347201	0.1397628870
-35	-80	1.04033032899817	-0.5905802690	-0.8434360340	0.1487205293
-30	-80	1.03656153472654	-0.5123416952	-0.8874018469	0.1564728883
-25	-80	1.03309215297529	-0.4311331504	-0.9245680248	0.1630262883
-20	-80	1.03002808512101	-0.3475517744	-0.9548906523	0.1683729856
-15	-80	1.02719466283638	-0.2620833951	-0.9781085464	0.1724669268
-10	-80	1.02469679310309	-0.1753131915	-0.9942505155	0.1753131915
-5	-80	1.02285932885627	-0.08780376147	-1.003601586	0.1769620375
-1.42109e-14	-80	1.02204663215851	1.232590110e-16	-1.006519447	0.1774765352
5	-80	1.02224155303307	0.08775073068	-1.002995441	0.1768551578
10	-80	1.02313980204462	0.1750468092	-0.9927397865	0.1750468092
15	-80	1.02448541289890	0.2613921440	-0.9755287622	0.1720120412
20	-80	1.02618828434722	0.3462561500	-0.9513309534	0.1677453147
25	-80	1.02832920584554	0.4291454629	-0.9203054151	0.1622746752
30	-80	1.03054564301948	0.5093682179	-0.8822516332	0.1555647667
35	-80	1.03245349153070	0.5861087039	-0.8370499772	0.1475944952
40	-80	1.03377457415645	0.6585172952	-0.7847903523	0.1383797133
45	-80	1.03417461109091	0.7256532739	-0.7256532739	0.1279522508

-45	-75	1.04729708762028	-0.7276060810	-0.7276060810	0.1949614618
-40	-75	1.04439006782096	-0.6576106660	-0.7837098737	0.2099944278
-35	-75	1.04081247808607	-0.5831047943	-0.8327599497	0.2231373560
-30	-75	1.03734810398389	-0.5052491844	-0.8751172578	0.2344869625
-25	-75	1.03426888887918	-0.4247556754	-0.9108914854	0.2440726379
-20	-75	1.03162256722129	-0.3421563228	-0.9400667707	0.2518901320
-15	-75	1.02922148461342	-0.2578846243	-0.9624385204	0.2578846243
-10	-75	1.02711440559539	-0.1724534515	-0.9780321244	0.2620629179
-5	-75	1.02553811863551	-0.08635790858	-0.9870754119	0.2644860595
-1.42109e-14	-75	1.02477907057969	1.212189544e-16	-0.9898605705	0.2652323405
5	-75	1.02482132263182	0.08629754905	-0.9863854992	0.2643011979
10	-75	1.02543081379525	0.1721707749	-0.9764289857	0.2616333582
15	-75	1.02642668733515	0.2571843520	-0.9598250687	0.2571843520
20	-75	1.02776670854189	0.3408774573	-0.9365531168	0.2509486513
25	-75	1.02954418008416	0.4228153223	-0.9067303847	0.2429576743
30	-75	1.03145928000289	0.5023809828	-0.8701493869	0.2331558255
35	-75	1.03315303648364	0.5788136686	-0.8266315871	0.2214952662
40	-75	1.03435043067814	0.6512891079	-0.7761761341	0.2079757683
45	-75	1.03461847507999	0.7187976581	-0.7187976581	0.1926012520

-45	-70	1.04730925359147	-0.7171880336	-0.7171880336	0.2610350966
-40	-70	1.04469891126787	-0.6468473652	-0.7708826713	0.2805783465
-35	-70	1.04146231502557	-0.5724565583	-0.8175526927	0.2975648451
-30	-70	1.03843131962436	-0.4951977431	-0.8577076508	0.3121800546
-25	-70	1.03585688147719	-0.4157370632	-0.8915510092	0.3244980297
-20	-70	1.03371658237965	-0.3345267884	-0.9191047973	0.3345267884
-15	-70	1.03181071165544	-0.2519360711	-0.9402382174	0.3422187243
-10	-70	1.03013442101841	-0.1683903678	-0.9549892314	0.3475876543
-5	-70	1.02884037963602	-0.08429908558	-0.9635429573	0.3507009559
-1.42109e-14	-70	1.02813934991648	1.183135011e-16	-0.9661349603	0.3516443678
5	-70	1.02801890850245	0.08423177751	-0.9627736224	0.3504209409
10	-70	1.02831621780286	0.1680931562	-0.9533036606	0.3469741567
15	-70	1.02892314919588	0.2512310182	-0.9376069242	0.3412610118
20	-70	1.02984290770977	0.3332732069	-0.9156606105	0.3332732069
25	-70	1.03118231768168	0.4138609455	-0.8875276618	0.3230336510
30	-70	1.03272100463772	0.4924746597	-0.8529911320	0.3104633822
35	-70	1.03412766204088	0.5684249480	-0.8117949565	0.2954692005
40	-70	1.03512834617222	0.6409215479	-0.7638205573	0.2780079472
45	-70	1.03522730214205	0.7089144210	-0.7089144210	0.2580237479

-45	-65	1.04732051574049	-0.7033206922	-0.7033206922	0.3279638249
-40	-65	1.04507371435497	-0.6326110221	-0.7539164583	0.3515570181
-35	-65	1.04234798372853	-0.5585080957	-0.7976322237	0.3719420143
-30	-65	1.03986040472748	-0.4821030239	-0.8350269320	0.3893794531
-25	-65	1.03786683701707	-0.4040224843	-0.8664290137	0.4040224843
-20	-65	1.03626948108709	-0.3246272828	-0.8919061293	0.4159026584
-15	-65	1.03485806685224	-0.2442116755	-0.9114103806	0.4249976402
-10	-65	1.03359014107949	-0.1631048729	-0.9250137003	0.4313409723
-5	-65	1.03255580616314	-0.08161689334	-0.9328853597	0.4350115874
-1.42109e-14	-65	1.03190653670633	1.145282391e-16	-0.9352249297	0.4361025468
5	-65	1.03163641322847	0.08154422125	-0.9320547139	0.4346242509
10	-65	1.03164318487821	0.1627976350	-0.9232712677	0.4305284627
15	-65	1.03187476076437	0.2435076580	-0.9087829516	0.4237724499
20	-65	1.03236595026984	0.3234044420	-0.8885464018	0.4143359918
25	-65	1.03323251718462	0.4022184288	-0.8625602041	0.4022184288
30	-65	1.03434871088370	0.4795476768	-0.8306009410	0.3873155796
35	-65	1.03541551923652	0.5547935612	-0.7923273186	0.3694682964
40	-65	1.03611641852614	0.6271889318	-0.7474546627	0.3485438333
45	-65	1.03600753043074	0.6957235369	-0.6957235369	0.3244212132

-45	-60	1.04745498218819	-0.6857202490	-0.6857202490	0.3959007703
-40	-60	1.04567507601353	-0.6147093823	-0.7325821148	0.4229564812
-35	-60	1.04360744039530	-0.5411233910	-0.7728042922	0.4461787661
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-25	-60	1.04032039651517	-0.3895516987	-0.8353963138	0.4823162866
-20	-60	1.03920352983098	-0.3124122015	-0.8583454692	0.4955659877
-15	-60	1.03819320785092	-0.2346779937	-0.8758301959	0.5056607994
-10	-60	1.03723902391428	-0.1565751579	-0.8879818464	0.5126765580
-5	-60	1.03639749390549	-0.07830072000	-0.8949813249	0.5167177089
-1.42109e-14	-60	1.03578020249066	1.098486556e-16	-0.8970119681	0.5178901012
5	-60	1.03539101908452	0.07822467996	-0.8941121833	0.5162159097
10	-60	1.03517401907526	0.1562634376	-0.8862139927	0.5116558873
15	-60	1.03511062072630	0.2339811915	-0.8732296945	0.5041593992
20	-60	1.03524579278942	0.3112224006	-0.8550765180	0.4936786579
25	-60	1.03568608655551	0.3878163647	-0.8316748781	0.4801677147
30	-60	1.03637293373030	0.4634800660	-0.8027710226	0.4634800660
35	-60	1.03704928426004	0.5377229057	-0.7679478960	0.4433749245
40	-60	1.03736698536227	0.6098253974	-0.7267616082	0.4195960102
45	-60	1.03700242585178	0.6788774446	-0.6788774446	0.3919500754

-45	-55	1.04789311248142	-0.6640365301	-0.6640365301	0.4649633840
-40	-55	1.04658335594709	-0.5928318877	-0.7065095320	0.4947033001
-35	-55	1.04513765348958	-0.5200007272	-0.7426380021	0.5200007272
-30	-55	1.04388353052640	-0.4462968043	-0.7730087404	0.5412665471
-25	-55	1.04296182688875	-0.3721610525	-0.7981019527	0.5588370035
-20	-55	1.04220853679992	-0.2977780543	-0.8181384802	0.5728667312
-15	-55	1.04146784465118	-0.2232778585	-0.8332843122	0.5834719569
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-5	-55	1.03996748278580	-0.07434018346	-0.8497121852	0.5949748774
-1.42109e-14	-55	1.03935664995227	1.042618981e-16	-0.8513911246	0.5961504834
5	-55	1.03888582213310	0.07426286292	-0.8488284073	0.5943560495
10	-55	1.03852630524222	0.1484626349	-0.8419734422	0.5895561512
15	-55	1.03826658048408	0.2225915470	-0.8307229626	0.5816784806
20	-55	1.03813999665820	0.2966155979	-0.8149446576	0.5706303925
25	-55	1.03824009433992	0.3704761922	-0.7944887581	0.5563070175
30	-55	1.03857125130453	0.4440256187	-0.7690749315	0.5385120645
35	-55	1.03887056869720	0.5168825842	-0.7381848324	0.5168825842
40	-55	1.03886146514870	0.5884578614	-0.7012967704	0.4910532852
45	-55	1.03827128843604	0.6579393027	-0.6579393027	0.4606940594

-45	-50	1.04853821367996	-0.6376374804	-0.6376374804	0.5350413747
-40	-50	1.04759508084705	-0.5664516345	-0.6750707704	0.5664516345
-35	-50	1.04666234651375	-0.4947406377	-0.7065628556	0.5928766315
-30	-50	1.04597737158544	-0.4230787542	-0.7327938979	0.6148870895
-25	-50	1.04550634499701	-0.3517025527	-0.7542285582	0.6328729050
-20	-50	1.04501074366893	-0.2806620964	-0.7711127722	0.6470404428
-15	-50	1.04438951737621	-0.2099943171	-0.7837094606	0.6576103194
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-5	-50	1.04295125596999	-0.06974235085	-0.7971587179	0.6688955862
-1.42109e-14	-50	1.04232493920493	9.778080402e-17	-0.7984672276	0.6699935562
5	-50	1.04181915432694	0.06966664700	-0.7962934189	0.6681695141
10	-50	1.04140886089506	0.1394016290	-0.7905859239	0.6633803572
15	-50	1.04105982915529	0.2093248201	-0.7812108640	0.6555137478
20	-50	1.04076456241574	0.2795216850	-0.7679795177	0.6444113301
25	-50	1.04057710662695	0.3500443842	-0.7506726043	0.6298891054
30	-50	1.04057916312240	0.4208952774	-0.7290120052	0.6117137047
35	-50	1.04058471233728	0.4918678367	-0.7024600706	0.5894339861
40	-50	1.04036077662223	0.5625399289	-0.6704089813	0.5625399289
45	-50	1.03966127291585	0.6322392317	-0.6322392317	0.5305117061

-45	-45	1.04912345823150	-0.6057117110	-0.6057117110	0.6057117110
-40	-45	1.04836308731923	-0.5349520123	-0.6375309825	0.6375309825
-35	-45	1.04772847351556	-0.4648903317	-0.6639322005	0.6639322005
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-15	-45	1.04619884020815	-0.1947570156	-0.7268430773	0.7268430773
-10	-45	1.04559728005507	-0.1293655095	-0.7336682619	0.7336682619
-5	-45	1.04496498618095	-0.06452218381	-0.7374919356	0.7374919356
-1.42109e-14	-45	1.04436584972093	9.043450645e-17	-0.7384781744	0.7384781744
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10	-45	1.04334586686357	0.1290869555	-0.7320885041	0.7320885041
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20	-45	1.04250985738335	0.2598388780	-0.7139014499	0.7139014499
25	-45	1.04217876942129	0.3263537096	-0.6998677888	0.6998677888
30	-45	1.04198814938693	0.3938345018	-0.6821413668	0.6821413668
35	-45	1.04185543209683	0.4622843891	-0.6602105289	0.6602105289
40	-45	1.04157885075315	0.5314901955	-0.6334053499	0.6334053499
45	-45	1.04093256528846	0.6009826968	-0.6009826968	0.6009826968