path: root/test/Kerr-definition-expansion-product/h.t0.ah1.gp

# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.50565891113965	-0.9466428468	-0.7466428468	1.446642847
-40	-45	2.48361645620849	-0.7673239235	-0.8103378388	1.510337839
-35	-45	2.45821162276562	-0.5907394859	-0.8577374227	1.557737423
-30	-45	2.43024884547729	-0.4185477242	-0.8909713274	1.590971327
-25	-45	2.40030009664001	-0.2516434452	-0.9119045699	1.611904570
-20	-45	2.36875237943409	-0.09039629799	-0.9221004973	1.622100497
-15	-45	2.33584766746605	0.06516610121	-0.9228222031	1.622822203
-10	-45	2.30171750658212	0.2152222337	-0.9150549687	1.615054969
-5	-45	2.26640739082142	0.3600588956	-0.8995341429	1.599534143
0	-45	2.22989395256495	0.5000000000	-0.8767731352	1.576773135
5	-45	2.19209980570727	0.6353529242	-0.8470910032	1.547091003
10	-45	2.15290889777569	0.7663665655	-0.8106398603	1.510639860
15	-45	2.11216994338480	0.8931947722	-0.7674228669	1.467422867
20	-45	2.06970875059289	1.015861597	-0.7173180881	1.417318088
25	-45	2.02533557881259	1.134224951	-0.6600997974	1.360099797
30	-45	1.97885727701398	1.247937748	-0.5954661802	1.295466180
35	-45	1.93009497918597	1.356407474	-0.5230766264	1.223076626
40	-45	1.87890727924917	1.458756792	-0.4426018508	1.142601851
45	-45	1.82522243485476	1.553792664	-0.3537926641	1.053792664

-45	-40	2.45810249171996	-0.9948222764	-0.5543048208	1.494822276
-40	-40	2.43451614769449	-0.8163823277	-0.6163823277	1.568803368
-35	-40	2.40742215165678	-0.6379501464	-0.6636721915	1.625161233
-30	-40	2.37760466977041	-0.4616976897	-0.6976960257	1.665709260
-25	-40	2.34565080881529	-0.2890639604	-0.7198850620	1.692153124
-20	-40	2.31198300696805	-0.1209371544	-0.7315130419	1.706010811
-15	-40	2.27689001289302	0.04218808657	-0.7336666001	1.708577321
-10	-40	2.24055556399856	0.2000821607	-0.7272401610	1.700918589
-5	-40	2.20307944096590	0.3526796545	-0.7129424608	1.683879254
0	-40	2.16449627960033	0.5000000000	-0.6913113897	1.658100347
5	-40	2.12479114675421	0.6420851922	-0.6627323535	1.624041178
10	-40	2.08391636835858	0.7789503213	-0.6274605553	1.582005886
15	-40	2.04179732991263	0.9105420715	-0.5856381377	1.532163869
20	-40	1.99834594432809	1.036702580	-0.5373180395	1.474578219
25	-40	1.95347325088666	1.157137599	-0.4824895153	1.409236128
30	-40	1.90710161259045	1.271387791	-0.4211066240	1.336082847
35	-40	1.85918117832588	1.378805361	-0.3531238446	1.255064125
40	-40	1.80971122712903	1.478540183	-0.2785401834	1.166178779
45	-40	1.75876438139268	1.569540503	-0.1974510419	1.069540503

-45	-35	2.40927466497828	-1.026726695	-0.3690255408	1.526726695
-40	-35	2.38360943999109	-0.8501836006	-0.4266942565	1.609086157
-35	-35	2.35444146626022	-0.6714354282	-0.4714354282	1.672983172
-30	-35	2.32252416018823	-0.4929604984	-0.5042575594	1.719858033
-25	-35	2.28844833611664	-0.3165891785	-0.5261902381	1.751181144
-20	-35	2.25266382824238	-0.1436272858	-0.5382130045	1.768351434
-15	-35	2.21550015225779	0.02502409741	-0.5412118299	1.772634201
-10	-35	2.17718853257438	0.1887597892	-0.5359579966	1.765130949
-5	-35	2.13788140250845	0.3471774375	-0.5231014396	1.746769883
0	-35	2.09766977914373	0.5000000000	-0.5031739566	1.718310488
5	-35	2.05659929904529	0.6470122593	-0.4765992072	1.680357813
10	-35	2.01468842218895	0.7880099908	-0.4437090674	1.633385825
15	-35	1.97193428549179	0.9227583853	-0.4047564860	1.577755773
20	-35	1.92832615238546	1.050958076	-0.3599355700	1.513744872
25	-35	1.88385695059590	1.172218453	-0.3094031691	1.441577124
30	-35	1.83853769209512	1.286039316	-0.2533045778	1.361460033
35	-35	1.79240920169246	1.391800315	-0.1918003148	1.273622842
40	-35	1.74555748584166	1.488762274	-0.1250972499	1.178360993
45	-35	1.69812870165427	1.576082548	-0.05348111201	1.076082548

-45	-30	2.35986722350636	-1.044895740	-0.1919459715	1.544895740
-40	-30	2.33168271035727	-0.8707003940	-0.2431230953	1.633537119
-35	-30	2.30011640241491	-0.6926388593	-0.2833803964	1.703264810
-30	-30	2.26589269975477	-0.5133380213	-0.3133380213	1.755152938
-25	-30	2.22960545046148	-0.3348837470	-0.3336959894	1.790413973
-20	-30	2.19172723956267	-0.1588914610	-0.3451710787	1.810289411
-15	-30	2.15262340721158	0.01341105049	-0.3484534715	1.815974682
-10	-30	2.11256903814480	0.1810997050	-0.3441803655	1.808573445
-5	-30	2.07176552907946	0.3434763365	-0.3329221595	1.789073660
0	-30	2.03035638617656	0.5000000000	-0.3151781931	1.758340209
5	-30	1.98844253829976	0.6502285401	-0.2913797347	1.717120070
10	-30	1.94609866784238	0.7937709623	-0.2618989872	1.666057918
15	-30	1.90338100143068	0.9302490435	-0.2270578457	1.605711290
20	-30	1.86033899602313	1.059267347	-0.1871416480	1.536574408
25	-30	1.81702457491431	1.180391360	-0.1424140761	1.459103981
30	-30	1.77350497294510	1.293135536	-0.09313553559	1.373751045
35	-30	1.72987083004996	1.396959463	-0.03958042330	1.280990869
40	-30	1.68624685273253	1.491275192	0.01794392772	1.181355771
45	-30	1.64279906193462	1.575464436	0.07908031830	1.075464436

-45	-25	2.31030930006726	-1.051471886	-0.02346322202	1.551471886
-40	-25	2.27927559986875	-0.8797063758	-0.06673570713	1.644270030
-35	-25	2.24507319980376	-0.7029490891	-0.1011115877	1.717989344
-30	-25	2.20840583697637	-0.5238673646	-0.1269454758	1.773390296
-25	-25	2.16987202086182	-0.3446912969	-0.1446912969	1.811446332
-20	-25	2.12996487627451	-0.1672441125	-0.1548529804	1.833238132
-15	-25	2.08908199732471	0.007006582751	-0.1579484931	1.839876481
-10	-25	2.04753778495494	0.1768899229	-0.1544846782	1.832448306
-5	-25	2.00557681027661	0.3414720564	-0.1449414034	1.811982687
0	-25	1.96338760596665	0.5000000000	-0.1297634572	1.779433476
5	-25	1.92111651023254	0.6518519003	-0.1093586204	1.735675163
10	-25	1.87888155676596	0.7964954147	-0.08410054955	1.681509055
15	-25	1.83678041475877	0.9334538590	-0.05433276007	1.617671824
20	-25	1.79490156530641	1.062280400	-0.02037664551	1.544852702
25	-25	1.75333032948677	1.182539272	0.01746072783	1.463710193
30	-25	1.71215988044743	1.293796410	0.05887560013	1.374895712
35	-25	1.67149616497243	1.395616584	0.1035584467	1.279073039
40	-25	1.63146448093723	1.487569009	0.1511843708	1.176938915
45	-25	1.59221456876990	1.569240443	0.2014049928	1.069240443

-45	-20	2.26083683176020	-1.048200893	0.1365009583	1.548200893
-40	-20	2.22673623088935	-0.8787307025	0.1019578628	1.643107268
-35	-20	2.18975765770676	-0.7036356133	0.07434615845	1.718969802
-30	-20	2.15059395016054	-0.5255558074	0.05347429906	1.776314764
-25	-20	2.10984894360907	-0.3467795304	0.03905751139	1.815924563
-20	-20	2.06803452485223	-0.1692481863	0.03075181374	1.838744280
-15	-20	2.02557593924896	0.005417381310	0.02818102583	1.845807461
-10	-20	1.98282022260610	0.1758793613	0.03095738194	1.838179486
-5	-20	1.94004651935656	0.3410403102	0.03869608711	1.816917568
0	-20	1.89747765223448	0.5000000000	0.05102442143	1.783045748
5	-20	1.85529220364752	0.6520152585	0.06758630189	1.737542355
10	-20	1.81363641237229	0.7964650984	0.08804333357	1.681337123
15	-20	1.77263073142092	0.9328212693	0.1120748887	1.615310968
20	-20	1.73238077623808	1.060625405	0.1393745953	1.540305640
25	-20	1.69298147323995	1.179471420	0.1696476298	1.457131162
30	-20	1.65452683236080	1.288995803	0.2026052594	1.366580818
35	-20	1.61711253303458	1.388871985	0.2379613516	1.269440753
40	-20	1.58084121001466	1.478811177	0.2754280894	1.166501737
45	-20	1.54582450097685	1.558566828	0.3147131838	1.058566828

-45	-15	2.21154783060303	-1.036465315	0.2883053596	1.536465315
-40	-15	2.17426909025849	-0.8690503084	0.2628219691	1.631570623
-35	-15	2.13447442434576	-0.6958179752	0.2423950140	1.707805058
-30	-15	2.09285109722192	-0.5193408614	0.2269222598	1.765550162
-25	-15	2.05000829059250	-0.3419016229	0.2162274177	1.805463857
-20	-15	2.00647262332485	-0.1654830132	0.2100818167	1.828399552
-15	-15	1.96268961599540	0.008222980378	0.2082229804	1.835336823
-10	-15	1.91902911726922	0.1777932497	0.2103696655	1.827325285
-5	-15	1.87579307043391	0.3420443243	0.2162333719	1.805441635
0	-15	1.83322502665519	0.5000000000	0.2255264491	1.770759399
5	-15	1.79152056595845	0.6508593064	0.2379672327	1.724329762
10	-15	1.75083748499039	0.7939672209	0.2532828889	1.667170955
15	-15	1.71130231578634	0.9287887120	0.2712112880	1.600261259
20	-15	1.67301910807823	1.054887111	0.2915007897	1.524539808
25	-15	1.63607309881309	1.171905867	0.3139101917	1.440906781
30	-15	1.60054117875601	1.279557144	0.3382062704	1.350232581
35	-15	1.56649278980019	1.377611938	0.3641632699	1.253359740
40	-15	1.53399521292961	1.465895449	0.3915611735	1.151109371
45	-15	1.50311529616112	1.544284227	0.4201848846	1.044284227

-45	-10	2.16244476480222	-1.017330929	0.4324536186	1.517330929
-40	-10	2.12197564858994	-0.8517044233	0.4159551132	1.610898603
-35	-10	2.07941984679615	-0.6804561477	0.4027363217	1.685866094
-30	-10	2.03546268979945	-0.5060689791	0.3927392002	1.742562588
-25	-10	1.99071485581874	-0.3307711611	0.3858568202	1.781594504
-20	-10	1.94570980377852	-0.1565208314	0.3819455959	1.803776160
-15	-10	1.90090219203659	0.01499465652	0.3808367770	1.810064584
-10	-10	1.85667129064764	0.1823460641	0.3823460641	1.801504992
-5	-10	1.81332698874890	0.3443413225	0.3862813590	1.779186825
0	-10	1.77111783394698	0.5000000000	0.3924486157	1.744210574
5	-10	1.73024030794134	0.6485263936	0.4006559538	1.697664447
10	-10	1.69084825598009	0.7892836262	0.4107163738	1.640608970
15	-10	1.65305895471806	0.9217694258	0.4224498841	1.574064926
20	-10	1.61696087451943	1.045594464	0.4356843624	1.499008470
25	-10	1.58261865333666	1.160463216	0.4502561179	1.416367938
30	-10	1.55008160372827	1.266159470	0.4660093129	1.327027130
35	-10	1.51938589713454	1.362533089	0.4827960326	1.231824911
40	-10	1.49056013895080	1.449490978	0.5004755680	1.131559284
45	-10	1.46362777351416	1.526989325	0.5189140731	1.026989325

-45	-5	2.11346350110109	-0.9915928369	0.5695025362	1.491592837
-40	-5	2.06988222794228	-0.8275165817	0.5615865778	1.582072656
-35	-5	2.02471070649296	-0.6583554527	0.5552672388	1.654303031
-30	-5	1.97863076671655	-0.4864878702	0.5505127477	1.708647112
-25	-5	1.93224745505677	-0.3140480424	0.5472682701	1.745731661
-20	-5	1.88608783420115	-0.1429110088	0.5454614701	1.766383479
-15	-5	1.84060047880046	0.02530953372	0.5450078013	1.771568938
-10	-5	1.79615732553737	0.1892518345	0.5458151919	1.762340421
-5	-5	1.75305889999755	0.3477878669	0.5477878669	1.739792643
0	-5	1.71154190882476	0.5000000000	0.5508292937	1.705028975
5	-5	1.67178819756944	0.6451556749	0.5548443251	1.659136956
10	-5	1.63393445988832	0.7826824403	0.5597406432	1.603171784
15	-5	1.59807654005633	0.9121435948	0.5654301140	1.538140836
20	-5	1.56427910439227	1.033216025	0.5718291965	1.464998987
25	-5	1.53258008126817	1.145669793	0.5788594047	1.384643340
30	-5	1.50299895529210	1.249351654	0.5864471392	1.297915138
35	-5	1.47553999493776	1.344169882	0.5945237080	1.205599535
40	-5	1.45019713671995	1.430082263	0.6030250389	1.108428878
45	-5	1.42695849928199	1.507086744	0.6118913267	1.007086744

-45	0	2.06449611937769	-0.9598192057	0.7000000000	1.459819206
-40	0	2.01796500241125	-0.7971229003	0.7000000000	1.545850877
-35	0	1.97040895973759	-0.6301801493	0.7000000000	1.614064527
-30	0	1.92249783559973	-0.4612489178	0.7000000000	1.664931964
-25	0	1.87481927019797	-0.2923328610	0.7000000000	1.699163304
-20	0	1.82787666453771	-0.1251706388	0.7000000000	1.717642213
-15	0	1.78209281520077	0.03876043929	0.7000000000	1.721369475
-10	0	1.73781299556782	0.1982319402	0.7000000000	1.711411711
-5	0	1.69530969166658	0.3522440246	0.7000000000	1.688858526
0	0	1.65479127408679	0.5000000000	0.7000000000	1.654791274
5	0	1.61641166367074	0.6408795591	0.7000000000	1.610260729
10	0	1.58027837401544	0.7744124599	0.7000000000	1.556270395
15	0	1.54645875993548	0.9002529795	0.7000000000	1.493764456
20	0	1.51499101170587	1.018157443	0.7000000000	1.423625874
25	0	1.48588548931091	1.127962343	0.7000000000	1.346669590
30	0	1.45913605534936	1.229568028	0.7000000000	1.263648892
35	0	1.43472060909100	1.322921934	0.7000000000	1.175254320
40	0	1.41260888823229	1.408007491	0.7000000000	1.082121189
45	0	1.39276416108643	1.484832983	0.7000000000	0.9848329829

-45	5	2.01540727437107	-0.9223889139	0.8244429051	1.422388914
-40	5	1.96617012116933	-0.7610009416	0.8314781737	1.502802402
-35	5	1.91654285162569	-0.5964716369	0.8370005789	1.565923783
-30	5	1.86716804758423	-0.4309157937	0.8410661482	1.612393452
-25	5	1.81859725780627	-0.2661676737	0.8437484130	1.643051879
-20	5	1.77129080699376	-0.1037801310	0.8451325184	1.658872276
-15	5	1.72562315590533	0.05496216049	0.8453102562	1.660903828
-10	5	1.68189194450825	0.2090205692	0.8443760984	1.650226356
-5	5	1.64032347188851	0.3575763001	0.8424236999	1.627910339
0	5	1.60108233683828	0.5000000000	0.8395435203	1.594989735
5	5	1.56428228751245	0.6358213029	0.8358213029	1.552444596
10	5	1.52999457155152	0.7647000903	0.8313370027	1.501188810
15	5	1.49825552758622	0.8863997772	0.8261642171	1.442063601
20	5	1.46907643711073	1.000764279	0.8203702758	1.375838549
25	5	1.44244539400372	1.107696414	0.8140160282	1.303209165
30	5	1.41833809411750	1.207142206	0.8071566601	1.224806229
35	5	1.39671647286862	1.299074227	0.7998417360	1.141196264
40	5	1.37753829478154	1.383482598	0.7921162504	1.052893560
45	5	1.36075575439798	1.460363657	0.7840209328	0.9603636566

-45	10	1.96604375895512	-0.8795214802	0.9432468574	1.379521480
-40	10	1.91442608705312	-0.7194947720	0.9562625738	1.453337276
-35	10	1.86312079645061	-0.5576663493	0.9663426253	1.510504089
-30	10	1.81272071481904	-0.3959742117	0.9736370553	1.551872857
-25	10	1.76371742209229	-0.2360399036	0.9783220297	1.578442667
-20	10	1.71650415238689	-0.07918232774	0.9805874259	1.591290367
-15	10	1.67138525231398	0.07355471429	0.9806271181	1.591515473
-10	10	1.62858951038750	0.2213680900	0.9786319100	1.580200086
-5	10	1.58828015256677	0.3636596766	0.9747839160	1.558377027
0	10	1.55056522844883	0.5000000000	0.9692528263	1.527008659
5	10	1.51550985532227	0.6300936132	0.9621941300	1.486976803
10	10	1.48314569687779	0.7537482378	0.9537482378	1.439077768
15	10	1.45347844906953	0.8708474941	0.9440403658	1.384021690
20	10	1.42649529044824	0.9813276226	0.9331812836	1.322436774
25	10	1.40217000248007	1.085157838	0.9212683257	1.254875033
30	10	1.38046864454999	1.182324803	0.9083869687	1.181821227
35	10	1.36135103980734	1.272819018	0.8946120781	1.103699940
40	10	1.34477615685977	1.356626173	0.8800099787	1.020887319
45	10	1.33070059963811	1.433717804	0.8646396412	0.9337178038

-45	15	1.91624959033819	-0.8313078696	1.056722869	1.331307870
-40	15	1.86266129513394	-0.6728433394	1.074523375	1.397740263
-35	15	1.81014751613501	-0.5141170645	1.088073298	1.448309264
-30	15	1.75922451000594	-0.3568452050	1.097663244	1.484099429
-25	15	1.71029511159454	-0.2023875155	1.103605140	1.506274888
-20	15	1.66365939754109	-0.05178279331	1.106213860	1.516010765
-15	15	1.61952990924320	0.09420603978	1.105793960	1.514443677
-10	15	1.57804836416473	0.2350442311	1.102630862	1.502638835
-5	15	1.53930142358886	0.3703794143	1.096985505	1.481570074
0	15	1.50333198363213	0.5000000000	1.089090948	1.452107188
5	15	1.47015226639062	0.6237977143	1.079151952	1.415014350
10	15	1.43975252995931	0.7417357714	1.067345397	1.370951685
15	15	1.41211019422484	0.8538222942	1.053822294	1.320482779
20	15	1.38719467418871	0.9600882568	1.038709777	1.264082097
25	15	1.36497325293416	1.060570024	1.022114129	1.202146296
30	15	1.34541279073405	1.155294701	1.004123329	1.135003715
35	15	1.32848402263324	1.244269904	0.9848105865	1.062927579
40	15	1.31416003786023	1.327474029	0.9642367958	0.9861451473
45	15	1.30241859981794	1.404850882	0.9424540630	0.9048508818

-45	20	1.86587370218664	-0.7777336654	1.165057022	1.277733665
-40	20	1.81081376835909	-0.6212035374	1.186336424	1.336198344
-35	20	1.75763778227400	-0.4661139545	1.202189284	1.379753718
-30	20	1.70675184889681	-0.3139003973	1.213094969	1.409716840
-25	20	1.65843830627252	-0.1656076561	1.219531194	1.427400225
-20	20	1.61287932241020	-0.02195287274	1.221952873	1.434053732
-15	20	1.57017646408302	0.1166117634	1.220777484	1.430824378
-10	20	1.53037130853462	0.2498386791	1.216377438	1.418735351
-5	20	1.49346517385238	0.3776314081	1.209077671	1.398679405
0	20	1.45943105762746	0.5000000000	1.199154820	1.371416595
5	20	1.42822712158659	0.6170232455	1.186839967	1.337581817
10	20	1.39980432286147	0.7288182590	1.172321564	1.297692832
15	20	1.37411621192594	0.8355164234	1.155750548	1.252164339
20	20	1.35111987652384	0.9372434386	1.137243439	1.201316474
25	20	1.33078333230051	1.034104628	1.116888256	1.145391071
30	20	1.31308473327956	1.126171981	1.094748171	1.084561685
35	20	1.29801562427162	1.213475222	1.070866821	1.018948217
40	20	1.28557711081873	1.295992183	1.045271825	0.9486265436
45	20	1.27578309664511	1.373644883	1.017980733	0.8736448830

-45	25	1.81478266639669	-0.7187044768	1.268291231	1.218704477
-40	25	1.75884416719975	-0.5646753345	1.291665451	1.268830655
-35	25	1.70562550614818	-0.4139036755	1.308619958	1.305189712
-30	25	1.65538439144447	-0.2674739968	1.319864615	1.329303956
-25	25	1.60825298679388	-0.1260633291	1.326063329	1.342597142
-20	25	1.56427212239912	0.009967804770	1.327814431	1.346352391
-15	25	1.52341871929181	0.1404950111	1.325640734	1.341690884
-10	25	1.48562724252206	0.2655617706	1.319986466	1.329565268
-5	25	1.45081057817081	0.3853227578	1.311220632	1.310766876
0	25	1.41887266744558	0.5000000000	1.299641500	1.285935347
5	25	1.38972028737229	0.6098484477	1.285483540	1.255573503
10	25	1.36326898085292	0.7151295809	1.268923546	1.220060481
15	25	1.33945181563348	0.8160914357	1.250088828	1.179669298
20	25	1.31821968135396	0.9129525004	1.229062256	1.134577670
25	25	1.29954742663632	1.005889928	1.205889928	1.084884452
30	25	1.28343095483566	1.095027892	1.180585318	1.030618540
35	25	1.26989005926492	1.180429079	1.153136068	0.9717534332
40	25	1.25896633982545	1.262085939	1.123509314	0.9082186558
45	25	1.25072211018370	1.339913596	1.091658142	0.8399135958

-45	30	1.76287195944101	-0.6540705992	1.366302971	1.154070599
-40	30	1.70674966366832	-0.5033279511	1.390349085	1.195719690
-35	30	1.65417896160882	-0.3577122913	1.407219496	1.224940099
-30	30	1.60522826185254	-0.2178799026	1.417879903	1.243404465
-25	30	1.55985426574863	-0.08409301692	1.423184050	1.252591517
-20	30	1.51794125186527	0.04366651511	1.423862106	1.253765945
-15	30	1.47933467175956	0.1656043498	1.420522488	1.247981556
-10	30	1.44386196447379	0.2820435697	1.413658246	1.236092341
-5	30	1.41135114088772	0.3933712102	1.403658714	1.218772644
0	30	1.38164211631219	0.5000000000	1.390821058	1.196537172
5	30	1.35459601876014	0.6023408916	1.375362258	1.169761744
10	30	1.33009865242081	0.7007834277	1.357428407	1.138699403
15	30	1.30806755892976	0.7956816400	1.337105389	1.103498903
20	30	1.28845124810873	0.8873426903	1.314424987	1.064215295
25	30	1.27123322935413	0.9760178361	1.289372748	1.020823544
30	30	1.25643089359952	1.061892977	1.261892977	0.9732271853
35	30	1.24409761480589	1.145080031	1.231895344	0.9212697605
40	30	1.23432199900851	1.225607152	1.199260718	0.8647449300
45	30	1.22722359028848	1.303406428	1.163846918	0.8034064282

-45	35	1.71008713016400	-0.5836604522	1.458787217	1.083660452
-40	35	1.65457546413179	-0.4372259650	1.482091496	1.116942411
-35	35	1.60340419620388	-0.2977622328	1.497762233	1.139322543
-30	35	1.55641366528823	-0.1654214045	1.507019774	1.152543681
-25	35	1.51336613690587	-0.04001586619	1.510887777	1.158067762
-20	35	1.47398485464650	0.07885554895	1.510199548	1.157084870
-15	35	1.43798596146188	0.1917135486	1.505617271	1.150540700
-10	35	1.40509814563036	0.2991340499	1.497653608	1.139167411
-5	35	1.37507447398270	0.4017053029	1.486692642	1.123513528
0	35	1.34770090676396	0.5000000000	1.473009483	1.103971953
5	35	1.32280147038336	0.5945580565	1.456786780	1.080803531
10	35	1.30023830859558	0.6858757013	1.438126217	1.054153485
15	35	1.27991651415240	0.7743983118	1.417060442	1.024068441
20	35	1.26178357018698	0.8605146602	1.393559690	0.9905058883
25	35	1.24583210431697	0.9445514450	1.367538410	0.9533436503
30	35	1.23210118584845	1.026766450	1.338859734	0.9123862556
35	35	1.22067723549847	1.107339184	1.307339184	0.8673702458
40	35	1.21169618362037	1.186359220	1.272749507	0.8179710662
45	35	1.20534127179179	1.263809425	1.234825117	0.7638094250

-45	40	1.65644345234844	-0.5073170588	1.545239373	1.007317059
-40	40	1.60243721182316	-0.3664637648	1.566463765	1.032611305
-35	40	1.55346191061438	-0.2342967279	1.579950700	1.048684408
-30	40	1.50910656448916	-0.1104060591	1.587141700	1.057254308
-25	40	1.46893077461060	0.005859810784	1.589183017	1.059687055
-20	40	1.43250436774686	0.1152674206	1.586965293	1.057044074
-15	40	1.39942807506243	0.2186184484	1.581163903	1.050130247
-10	40	1.36934731498355	0.3167009582	1.572278070	1.039540523
-5	40	1.34195623857791	0.4102631285	1.560662087	1.025697134
0	40	1.31699990376709	0.5000000000	1.546551220	1.008880458
5	40	1.29427488056042	0.5865484099	1.530081703	0.9892528520
10	40	1.27362658890864	0.6704859905	1.511303699	0.9668740985
15	40	1.25495149500839	0.7523317955	1.490192777	0.9417150813
20	40	1.23819610176538	0.8325465463	1.466655232	0.9136641268
25	40	1.22335934010061	0.9115313167	1.440532071	0.8825317566
30	40	1.21049605813435	0.9896235599	1.411600861	0.8480528823
35	40	1.19971913932399	1.067088148	1.379574883	0.8098858087
40	40	1.19120641272566	1.144104609	1.344104609	0.7676139812
45	40	1.18520432624934	1.220746932	1.304778485	0.7207469318

-45	45	1.60205208900560	-0.4249452048	1.624945205	0.9249452048
-40	45	1.55053121488230	-0.2911951533	1.642909666	0.9429096663
-35	45	1.50457246702004	-0.1675977707	1.653428425	0.9534284255
-30	45	1.46350624709679	-0.05315336743	1.658089737	0.9580897368
-25	45	1.42670307705099	0.05323419035	1.658092371	0.9580923706
-20	45	1.39359962570806	0.1526542550	1.654324591	0.9543245911
-15	45	1.36370607363723	0.2461368577	1.647430145	0.9474301452
-10	45	1.33660736693265	0.3346295498	1.637862428	0.9378624280
-5	45	1.31195834037842	0.4189921018	1.625924513	0.9259245129
0	45	1.28947878325647	0.5000000000	1.611799192	0.9117991918
5	45	1.26894914651386	0.5783522617	1.595570449	0.8955704494
10	45	1.25020462321456	0.6546803546	1.577235883	0.8772358827
15	45	1.23313508763573	0.7295564670	1.556716398	0.8567163979
20	45	1.21768476423102	0.8035000970	1.533859663	0.8338596633
25	45	1.20385353777780	0.8769814541	1.508439337	0.8084393372
30	45	1.19170317158749	0.9504214612	1.480152856	0.7801528557
35	45	1.18136280502517	1.024185569	1.448614576	0.7486145758
40	45	1.17303925841926	1.098570972	1.413349106	0.7133491059
45	45	1.16702967949922	1.173784900	1.373784900	0.6737848996


### +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	1.82522270208911	1.553792818	-0.3537928184	1.053792818
45	-40	1.75876456293977	1.569540614	-0.1974511345	1.069540614
45	-35	1.69812884001876	1.576082636	-0.05348117340	1.076082636
45	-30	1.64279919233037	1.575464521	0.07908026901	1.075464521
45	-25	1.59221462216397	1.569240479	0.2014049761	1.069240479
45	-20	1.54582456249036	1.558566870	0.3147131684	1.058566870
45	-15	1.50311532950418	1.544284250	0.4201848784	1.044284250
45	-10	1.46362780122115	1.526989344	0.5189140697	1.026989344
45	-5	1.42695851542555	1.507086756	0.6118913257	1.007086756
45	0	1.39276417107020	1.484832990	0.7000000000	0.9848329900
45	5	1.36075576098642	1.460363661	0.7840209332	0.9603636613
45	10	1.33070060610620	1.433717808	0.8646396420	0.9337178084
45	15	1.30241861468899	1.404850892	0.9424540658	0.9048508921
45	20	1.27578311344408	1.373644895	1.017980737	0.8736448945
45	25	1.25072213281060	1.339913611	1.091658149	0.8399136110
45	30	1.22722359556722	1.303406432	1.163846920	0.8034064316
45	35	1.20534130781196	1.263809448	1.234825133	0.7638094479
45	40	1.18520434949331	1.220746946	1.304778497	0.7207469460
45	45	1.16702972293499	1.173784925	1.373784925	0.6737849247

50	-45	1.83886880230949	1.618253636	-0.4182536360	0.9383262136
50	-40	1.76908419931254	1.639998703	-0.2565724911	0.9565724911
50	-35	1.70467302591150	1.650761413	-0.1057718162	0.9656034774
50	-30	1.64536885436634	1.652717343	0.03447833190	0.9672446971
50	-25	1.59080518190460	1.647607286	0.1648619342	0.9629568501
50	-20	1.54057362711570	1.636788313	0.2862428914	0.9538786542
50	-15	1.49426194087243	1.621293541	0.3995503013	0.9408769964
50	-10	1.45148236967584	1.601893381	0.5057064671	0.9245983292
50	-5	1.41187984261145	1.579141828	0.6055873237	0.9055075101
50	0	1.37514599787450	1.553422950	0.7000000000	0.8839268089
50	5	1.34101626402754	1.524978684	0.7896740152	0.8600592357
50	10	1.30927789819960	1.493938803	0.8752582282	0.8340136832
50	15	1.27976807259775	1.460337431	0.9573216391	0.8058187840
50	20	1.25237573364628	1.424127268	1.036354818	0.7754348499
50	25	1.22704404696354	1.385189905	1.112770832	0.7427625229
50	30	1.20377378336176	1.343343371	1.186904522	0.7076491119
50	35	1.18262678628480	1.298347396	1.259008865	0.6698930058
50	40	1.16373190600193	1.249909396	1.329248698	0.6292486976
50	45	1.14729067829820	1.197690869	1.397690869	0.5854321508

55	-45	1.85065362745149	1.672735653	-0.4727356527	0.8211583444
55	-40	1.77824380304647	1.700426311	-0.3072772747	0.8405475519
55	-35	1.71070217245259	1.715564705	-0.1511475697	0.8511475697
55	-30	1.64798910387191	1.720356433	-0.004573114860	0.8545027734
55	-25	1.58992994085599	1.716656408	0.1326637994	0.8519119886
55	-20	1.53626851651407	1.705977830	0.2610599668	0.8444347673
55	-15	1.48671053006001	1.689525503	0.3812676022	0.8329147239
55	-10	1.44095560082626	1.668238437	0.4940080437	0.8180093598
55	-5	1.39871140953256	1.642826240	0.6000156596	0.8002155482
55	0	1.35971471160775	1.613813086	0.7000000000	0.7799003187
55	5	1.32373290590346	1.581564567	0.7946246385	0.7573196628
55	10	1.29057589367050	1.546319792	0.8844944098	0.7326410057
55	15	1.26009558035637	1.508209600	0.9701489481	0.7059559619
55	20	1.23219047029638	1.467275169	1.052059370	0.6772933650
55	25	1.20680767404618	1.423481125	1.130626321	0.6466284451
55	30	1.18394528492189	1.376726212	1.206178114	0.6138903025
55	35	1.16365416315214	1.326851659	1.278967765	0.5789677647
55	40	1.14604149298537	1.273650024	1.349169450	0.5417155790
55	45	1.13127132294312	1.216872241	1.416872241	0.5019593471

60	-45	1.86062988444238	1.718068184	-0.5180681837	0.7032519937
60	-40	1.78618268219665	1.751369108	-0.3500233567	0.7224782911
60	-35	1.71609272645935	1.770788012	-0.1898153457	0.7336898010
60	-30	1.65051395631532	1.778482613	-0.03813228083	0.7381322808
60	-25	1.58944836092071	1.776356117	0.1048253681	0.7369045477
60	-20	1.53279038852460	1.766030809	0.2392024700	0.7309432282
60	-15	1.48037022332014	1.748855158	0.3653702689	0.7210268617
60	-10	1.43198192650214	1.725921823	0.4838369064	0.7077862945
60	-5	1.38740566531830	1.698094522	0.5951803115	0.6917201951
60	0	1.34643065360288	1.666043150	0.7000000000	0.6732153268
60	5	1.30885990121191	1.630266307	0.7988854887	0.6525595569
60	10	1.27452644056939	1.591123951	0.8923945919	0.6299607069
60	15	1.24329393317914	1.548855224	0.9810399101	0.6055568456
60	20	1.21506360057629	1.503599686	1.065280413	0.5794285490
60	25	1.18977645391152	1.455412263	1.145516055	0.5516075270
60	30	1.16741634788697	1.404276815	1.222084462	0.5220844624
60	35	1.14800972884924	1.350115486	1.295257271	0.4908144044
60	40	1.13162817766761	1.292799391	1.365237677	0.4577229419
60	45	1.11838652563315	1.232155844	1.432155844	0.4227103738

65	-45	1.86887796864380	1.755031795	-0.5550317948	0.5852309371
65	-40	1.79287730448774	1.793382169	-0.3852765011	0.6031140104
65	-35	1.72075671684804	1.816768515	-0.2220112401	0.6140192425
65	-30	1.65282610644426	1.827249606	-0.06628791745	0.6189066557
65	-25	1.58924059382165	1.826725271	0.08133784606	0.6186621539
65	-20	1.53003449864830	1.816884432	0.2206932647	0.6140732957
65	-15	1.47515808640896	1.799187237	0.3518838289	0.6058209582
65	-10	1.42450160282813	1.774860746	0.4752076538	0.5944773291
65	-5	1.37792062632669	1.744912838	0.5910842396	0.5805123901
65	0	1.33525843061743	1.710155113	0.7000000000	0.5643045969
65	5	1.29635477843456	1.671220370	0.8024685049	0.5461490281
65	10	1.26106530923870	1.628593087	0.8990014115	0.5262715994
65	15	1.22926211753917	1.582624072	0.9900882458	0.5048358957
65	20	1.20084369595704	1.533553407	1.076182676	0.4819538688
65	25	1.17573777273791	1.481526032	1.157693106	0.4576931056
65	30	1.15390536080245	1.426607118	1.234976869	0.4320839954
65	35	1.13534104506568	1.368792972	1.308335388	0.4051248161
65	40	1.12007492526903	1.308022352	1.378011258	0.3767870107
65	45	1.10816910850084	1.244183135	1.444183135	0.3470182948

70	-45	1.87548196375668	1.784313317	-0.5843133172	0.4674518189
70	-40	1.79832522759660	1.826983057	-0.4134709940	0.4829823343
70	-35	1.72463227955484	1.853844247	-0.2479719476	0.4927590079
70	-30	1.65483222204561	1.866833060	-0.08914143485	0.4974865489
70	-25	1.58920568906796	1.867812447	0.06217858102	0.4978430168
70	-20	1.52790887900519	1.858504260	0.2055448863	0.4944551137
70	-15	1.47100020716722	1.840449946	0.3408275195	0.4878838808
70	-10	1.41846004657610	1.814987677	0.4681321932	0.4786163730
70	-5	1.37021612898987	1.783252609	0.5877299443	0.4670657526
70	0	1.32616422205442	1.746186733	0.7000000000	0.4535748773
70	5	1.28617924299872	1.704549292	0.8053844078	0.4384200882
70	10	1.25013547457925	1.658941874	0.9043527214	0.4218203452
70	15	1.21791114714824	1.609822367	0.9973760069	0.4039423068
70	20	1.18939822593399	1.557525471	1.084907793	0.3849077933
70	25	1.16450774940767	1.502279444	1.167370580	0.3647998840
70	30	1.14317362614162	1.444221102	1.245146308	0.3436683758
70	35	1.12535700428339	1.383410408	1.318570627	0.3215350933
70	40	1.11104594462550	1.319840106	1.387927530	0.2983973953
70	45	1.10025362396026	1.253443866	1.453443866	0.2742311404

75	-45	1.88052338755134	1.806487212	-0.6064872121	0.3500721934
75	-40	1.80253780101957	1.852623618	-0.4349859791	0.3624344062
75	-35	1.72767880213349	1.882325580	-0.2679147913	0.3703930228
75	-30	1.65646099051983	1.897407094	-0.1067933620	0.3744341024
75	-25	1.58926209594698	1.899679838	0.04731857239	0.3750430824
75	-20	1.52633692634663	1.890875569	0.1937626933	0.3726839855
75	-15	1.46783425221230	1.872591077	0.3322153294	0.3677846706
75	-10	1.41381164254561	1.846250424	0.4626197274	0.3607267140
75	-5	1.36425984178856	1.813093410	0.5851192125	0.3518423188
75	0	1.31912088448286	1.774172930	0.7000000000	0.3414136077
75	5	1.27830021041219	1.730357686	0.8076423496	0.3296733484
75	10	1.24168803434806	1.682352014	0.9084805608	0.3168102673
75	15	1.20916513466235	1.630706190	1.002971810	0.3029718104
75	20	1.18061563359365	1.575836804	1.091572574	0.2882696029
75	25	1.15593319974785	1.518042523	1.174721025	0.2727836720
75	30	1.13502623058352	1.457519504	1.252824144	0.2565665780
75	35	1.11782446958711	1.394377680	1.326249993	0.2396477770
75	40	1.10427888218054	1.328650415	1.395320258	0.2220362095
75	45	1.09436188067042	1.260304185	1.460304185	0.2037228925

80	-45	1.88407169262884	1.822003825	-0.6220038254	0.2331049430
80	-40	1.80553147886235	1.870669893	-0.4501286021	0.2416860839
80	-35	1.72987117799043	1.902473469	-0.2820224953	0.2472939124
80	-30	1.65766045936042	1.919125545	-0.1193325156	0.2502301226
80	-25	1.58934707981355	1.922389557	0.03672885648	0.2508056561
80	-20	1.52525806780565	1.913995106	0.1853478700	0.2493254878
80	-15	1.46561012773554	1.895573637	0.3260571710	0.2460772858
80	-10	1.41051944772964	1.868609424	0.4586772325	0.2413227675
80	-5	1.36002541393105	1.834419723	0.5832534018	0.2352942008
80	0	1.31410630967658	1.794142082	0.7000000000	0.2281921659
80	5	1.27269135982118	1.748729939	0.8092497135	0.2201847798
80	10	1.23568283277124	1.698967638	0.9114103435	0.2114103435
80	15	1.20296225298424	1.645476805	1.006929585	0.2019784665
80	20	1.17440640906834	1.588737014	1.096267866	0.1919737105
80	25	1.14989422937098	1.529100292	1.179877347	0.1814581473
80	30	1.12931303864907	1.466806545	1.258186019	0.1704740790
80	35	1.11256731603039	1.402001353	1.331588147	0.1590471752
80	40	1.09957935513994	1.334746076	1.400435125	0.1471882553
80	45	1.09029091586821	1.265028617	1.465028617	0.1348951862

85	-45	1.88617957033052	1.831185485	-0.6311854853	0.1164636390
85	-40	1.80732121050143	1.881389447	-0.4591233758	0.1208559166
85	-35	1.73119173318963	1.914481448	-0.2904305723	0.1237510914
85	-30	1.65839356186273	1.932106191	-0.1268268948	0.1252930567
85	-25	1.58941543866565	1.935992500	0.03038570031	0.1256330646
85	-20	1.52462813082219	1.927864542	0.1802998080	0.1249219605
85	-15	1.46429017550653	1.909372116	0.3223598797	0.1233040828
85	-10	1.40855584471528	1.882036454	0.4563096849	0.1209125223
85	-5	1.35749350814568	1.847220688	0.5821334625	0.1178665375
85	0	1.31110492726218	1.806115777	0.7000000000	0.1142703238
85	5	1.26933452502268	1.759728848	0.8102119933	0.1102119933
85	10	1.23209200276508	1.708894961	0.9131607984	0.1057646044
85	15	1.19925923902520	1.654281139	1.009288699	0.1009865142
85	20	1.17070742496477	1.596406125	1.099059194	0.09592310660
85	25	1.14630570920930	1.535655223	1.182933962	0.09060809135
85	30	1.12592777666946	1.472295224	1.261354909	0.08506480969
85	35	1.10946187692645	1.406493031	1.334733254	0.07930786380
85	40	1.09681226999080	1.338326296	1.403439285	0.07334404721
85	45	1.08790179607221	1.267794914	1.467794914	0.06717335086

90	-45	1.88687783079348	1.834224109	-0.6342241094	0.000000000
90	-40	1.80791584973154	1.884943890	-0.4621059076	0.000000000
90	-35	1.73163193853444	1.918469842	-0.2932232764	0.000000000
90	-30	1.65863936169413	1.936423823	-0.1293196808	0.000000000
90	-25	1.58944035317844	1.940522169	0.02827348080	0.000000000
90	-20	1.52442031153702	1.932486518	0.1786175466	0.000000000
90	-15	1.46385197028438	1.913972424	0.3211272309	0.000000000
90	-10	1.40790252068636	1.886513318	0.4555202930	0.000000000
90	-5	1.35665023842921	1.851487775	0.5817601408	0.000000000
90	0	1.31010491833455	1.810104918	0.7000000000	0.000000000
90	5	1.26821620795516	1.763390262	0.8105323256	0.000000000
90	10	1.23089633708922	1.712196256	0.9137429058	0.000000000
90	15	1.19802726419816	1.657205475	1.010072273	0.000000000
90	20	1.16947817823037	1.598950014	1.099985094	0.000000000
90	25	1.14511479542729	1.537826456	1.183946424	0.000000000
90	30	1.12480601918243	1.474110587	1.262403010	0.000000000
90	35	1.10843450576993	1.407976391	1.335771914	0.000000000
90	40	1.09589836835553	1.339506855	1.404429893	0.000000000
90	45	1.08711405592648	1.268705721	1.468705721	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	1.16702977551773	1.173784955	1.373784955	0.6737849550
40	45	1.17303933176977	1.098571009	1.413349150	0.7133491505
35	45	1.18136286955934	1.024185598	1.448614617	0.7486146167
30	45	1.19170319692492	0.9504214708	1.480152872	0.7801528723
25	45	1.20385355474477	0.8769814594	1.508439349	0.8084393485
20	45	1.21768478281449	0.8035001016	1.533859676	0.8338596760
15	45	1.23313509471594	0.7295564683	1.556716403	0.8567164028
10	45	1.25020463126678	0.6546803556	1.577235888	0.8772358884
5	45	1.26894915461492	0.5783522622	1.595570455	0.8955704551
0	45	1.28947879418357	0.5000000000	1.611799200	0.9117991996
-5	45	1.31195835734510	0.4189921008	1.625924525	0.9259245249
-10	45	1.33660739284732	0.3346295466	1.637862446	0.9378624461
-15	45	1.36370611839781	0.2461368494	1.647430176	0.9474301763
-20	45	1.39359968290189	0.1526542408	1.654324630	0.9543246302
-25	45	1.42670316683443	0.05323416223	1.658092431	0.9580924309
-30	45	1.46350638536697	-0.05315341969	1.658089827	0.9580898273
-35	45	1.50457263230169	-0.1675978440	1.653428530	0.9534285302
-40	45	1.55053148436534	-0.2911952908	1.642909830	0.9429098302
-45	45	1.60205230070464	-0.4249453271	1.624945327	0.9249453271

45	50	1.14729072719531	1.197690899	1.397690899	0.5854321758
40	50	1.15113157313530	1.122435493	1.441789735	0.6224354934
35	50	1.15768564465880	1.047219584	1.481510558	0.6557652214
30	50	1.16667599351599	0.9718991436	1.517353293	0.6858408465
25	50	1.17790113294771	0.8962394272	1.549738194	0.7130150050
20	50	1.19122907166111	0.8199324509	1.579007185	0.7375746045
15	50	1.20659074226446	0.7426079491	1.605425192	0.7597419451
10	50	1.22397793620054	0.6638400868	1.629183305	0.7796773688
5	50	1.24343838796587	0.5831489639	1.650397006	0.7974777773
0	50	1.26507473540063	0.5000000000	1.669103471	0.8131743652
-5	50	1.28904488965892	0.4138013206	1.685255414	0.8267274546
-10	50	1.31556049299126	0.3239007919	1.698708237	0.8380157136
-15	50	1.34489098326213	0.2295841648	1.709205636	0.8468240769
-20	50	1.37736331345374	0.1300768415	1.716355525	0.8528235462
-25	50	1.41336310047080	0.02455246907	1.719600520	0.8555464206
-30	50	1.45333240845283	-0.08784643104	1.718179886	0.8543543665
-35	50	1.49775856079271	-0.2079666407	1.711081147	0.8483978174
-40	50	1.54715841604583	-0.3365736243	1.696989622	0.8365736243
-45	50	1.60204177495459	-0.4742342889	1.674234289	0.8174796325

45	55	1.13127135592958	1.216872262	1.416872262	0.5019593617
40	55	1.13309351375827	1.141835132	1.464909325	0.5355952752
35	55	1.13793428067645	1.066171022	1.508576017	0.5661710221
30	55	1.14555540512755	0.9897650950	1.548298028	0.5939846741
25	55	1.15577840781149	0.9124174995	1.584432182	0.6192860808
20	55	1.16848494933709	0.8338575366	1.617266043	0.6422765979
15	55	1.18361249848395	0.7537519188	1.647015054	0.6631070793
10	55	1.20115477681603	0.6717112048	1.673822634	0.6818779492
5	55	1.22115844297658	0.5872922896	1.697755436	0.6986358775
0	55	1.24372229283654	0.5000000000	1.718797659	0.7133698005
-5	55	1.26899732756731	0.4092880348	1.736842507	0.7260049394
-10	55	1.29718379275707	0.3145609573	1.751677071	0.7363922131
-15	55	1.32853353512512	0.2151787986	1.762967195	0.7442976425
-20	55	1.36334626501520	0.1104670190	1.770233069	0.7493852628
-25	55	1.40196575811216	-0.0002647639414	1.772821248	0.7511975253
-30	55	1.44477228703876	-0.1176908016	1.769871852	0.7491323355
-35	55	1.49216530127557	-0.2424161202	1.760280102	0.7424161202
-40	55	1.54454058586143	-0.3748972606	1.742661954	0.7300797596
-45	55	1.60225136895537	-0.5153263026	1.715326303	0.7109391308

45	60	1.11838655388230	1.232155863	1.432155863	0.4227103845
40	60	1.11840463967583	1.157464102	1.483535206	0.4523742621
35	60	1.12166625244505	1.081597852	1.530607814	0.4795516448
30	60	1.12797997513676	1.004447980	1.573729532	0.5044479803
25	60	1.13720212413680	0.9258294086	1.613194114	0.5272328674
20	60	1.14923921025758	0.8454918516	1.649231061	0.5480388086
15	60	1.16404582342708	0.7631263009	1.682000724	0.5669583822
10	60	1.18162611223145	0.6783709356	1.711591844	0.5840428234
5	60	1.20203155042307	0.5908145151	1.738014657	0.5992980419
0	60	1.22536024986647	0.5000000000	1.761193105	0.6126801249
-5	60	1.25175762005399	0.4054286377	1.780955618	0.6240900169
-10	60	1.28141087409200	0.3065661768	1.797017725	0.6333634786
-15	60	1.31454998292064	0.2028530429	1.808967541	0.6402627085
-20	60	1.35144056468293	0.09372104702	1.816242249	0.6444627631
-25	60	1.39237692855180	-0.02138052813	1.818104151	0.6455377324
-30	60	1.43766987154084	-0.1429455124	1.813614294	0.6429455124
-35	60	1.48762687865399	-0.2713529723	1.801606210	0.6360126418
-40	60	1.54252403103061	-0.4067864541	1.780666014	0.6239228143
-45	60	1.60257215256010	-0.5491297422	1.749129742	0.6057153391

45	65	1.10816912252205	1.244183144	1.444183144	0.3470182992
40	65	1.10663552731961	1.169876031	1.498327167	0.3722660716
35	65	1.10850513504142	1.093956243	1.548257424	0.3955489330
30	65	1.11363485539448	1.016306544	1.594269166	0.4170045604
25	65	1.12192019815328	0.9367429130	1.636598199	0.4367429130
20	65	1.13329867566888	0.8550231638	1.675418126	0.4548449420
15	65	1.14774851062534	0.7708522026	1.710834181	0.4713597199
10	65	1.16528954738148	0.6838875933	1.742878365	0.4863021680
5	65	1.18598305573682	0.5937443303	1.771502599	0.4996498675
0	65	1.20992973130752	0.5000000000	1.796568737	0.5113383999
-5	65	1.23727077820189	0.4022017052	1.817839625	0.5212571777
-10	65	1.26817975733975	0.2998758987	1.834960178	0.5292406225
-15	65	1.30286246355326	0.1925431271	1.847444671	0.5350622373
-20	65	1.34154728477688	0.07973977062	1.854655491	0.5384246978
-25	65	1.38447610518516	-0.03895110196	1.855784368	0.5389511020
-30	65	1.43188892769193	-0.1638563973	1.849833009	0.5361759377
-35	65	1.48400410369710	-0.2951550911	1.835599158	0.5295385842
-40	65	1.54098804229940	-0.4328012054	1.811669188	0.5183798556
-45	65	1.60292862154185	-0.5764353899	1.776435390	0.5019500658

45	70	1.10025363044382	1.253443871	1.453443871	0.2742311421
40	70	1.09744118152901	1.179503854	1.509801159	0.2947435177
35	70	1.09814095608366	1.103610888	1.562045686	0.3137589702
30	70	1.10225448667592	1.025633158	1.610423336	0.3313669949
25	70	1.10971580118856	0.9453800486	1.655120596	0.3476354672
20	70	1.12049447918963	0.8626094675	1.696261324	0.3626094675
15	70	1.13459446761880	0.7770326662	1.733899985	0.3763088199
10	70	1.15205415635840	0.6883199116	1.768015291	0.3887257756
5	70	1.17294733154918	0.5961066356	1.798503872	0.3998227116
0	70	1.19737962848008	0.5000000000	1.825168801	0.4095279521
-5	70	1.22548891376034	0.3995883163	1.847710797	0.4177325676
-10	70	1.25743581895372	0.2944539318	1.865709680	0.4242836253
-15	70	1.29340216754750	0.1841914348	1.878613611	0.4289802720
-20	70	1.33357943031232	0.06843292303	1.885720799	0.4315670770
-25	70	1.37815897520758	-0.05311865493	1.886166783	0.4317294020
-30	70	1.42731459526668	-0.1806448851	1.878911523	0.4290887032
-35	70	1.48118423143495	-0.3141568016	1.862736413	0.4232014448
-40	70	1.53984086388063	-0.4534249484	1.836247608	0.4135603079
-45	70	1.60327048726103	-0.5979053265	1.797905327	0.3996048589

45	75	1.09436188447232	1.260304188	1.460304188	0.2037228932
40	75	1.09055224606834	1.186677144	1.518349953	0.2192762091
35	75	1.09032640441298	1.110844477	1.572376322	0.2337525310
30	75	1.09362302968984	1.032658364	1.622591349	0.2472076070
25	75	1.10040980601287	0.9519185633	1.669142487	0.2596809466
20	75	1.11068547236696	0.8683789683	1.712112897	0.2711948334
15	75	1.12447757720201	0.7817522582	1.751513743	0.2817522582
10	75	1.14184333349583	0.6917165438	1.787278550	0.2913354093
5	75	1.16286924190712	0.5979222068	1.819255945	0.2999037265
0	75	1.18766647084703	0.5000000000	1.847197717	0.3073907019
-5	75	1.21637100124239	0.3975725487	1.870751126	0.3137018187
-10	75	1.24913207722502	0.2902695776	1.889440332	0.3187095763
-15	75	1.28610997544765	0.1777486743	1.902658320	0.3222513257
-20	75	1.32746279944874	0.05972290207	1.909651385	0.3241251117
-25	75	1.37333812518711	-0.06400532702	1.909513327	0.3240881192
-30	75	1.42385313773286	-0.1934997362	1.901176778	0.3218543477
-35	75	1.47907893590486	-0.3286391995	1.883419421	0.3170962782
-40	75	1.53901367142542	-0.4690553717	1.854875221	0.3094478827
-45	75	1.60356413816333	-0.6140707178	1.814070718	0.2985143491

45	80	1.09029091800900	1.265028619	1.465028619	0.1348951865
40	80	1.08576909231146	1.191637949	1.524262010	0.1453396316
35	80	1.08487494367352	1.115867593	1.579550076	0.1550884093
30	80	1.08757490441271	1.037556094	1.631074467	0.1641735496
25	80	1.09386250354540	0.9564940174	1.678954580	0.1726161053
20	80	1.10375944477553	0.8724301882	1.723243532	0.1804254426
15	80	1.11731253301483	0.7850765027	1.763919992	0.1875977999
10	80	1.13459453207018	0.6941153615	1.800882921	0.1941153615
5	80	1.15570293083566	0.5992072532	1.833944093	0.1999449383
0	80	1.18075419014491	0.5000000000	1.862815881	0.2050358134
-5	80	1.20988285203396	0.3961418620	1.887103950	0.2093184552
-10	80	1.24322929348704	0.2872985486	1.906289874	0.2127014514
-15	80	1.28093565914640	0.1731759046	1.919724129	0.2150702730
-20	80	1.32313592898011	0.05354786284	1.926617166	0.2162857013
-25	80	1.36994303001002	-0.07170878005	1.926033435	0.2161827739
-30	80	1.42143078515049	-0.2025711775	1.916888975	0.2145703589
-35	80	1.47762054902543	-0.3388235131	1.897964128	0.2112333977
-40	80	1.53845559996164	-0.4800005202	1.867919141	0.2059356558
-45	80	1.60378651102516	-0.6253350448	1.825335045	0.1984269307

45	85	1.08790179696087	1.267794914	1.467794914	0.06717335091
40	85	1.08295313466348	1.194550745	1.527733346	0.07241728416
35	85	1.08165564399655	1.118825054	1.583773768	0.07732018582
30	85	1.08399281624713	1.040447355	1.636082278	0.08189658744
25	85	1.08997436380883	0.9592017937	1.684761424	0.08615546091
20	85	1.09963660603759	0.8748332749	1.729845959	0.09009984658
15	85	1.11303886451887	0.7870524830	1.771294451	0.09372611975
10	85	1.13026412162417	0.6955438409	1.808984230	0.09702354814
5	85	1.15141721690745	0.5999736351	1.842703878	0.09997363506
0	85	1.17661817309078	0.5000000000	1.872140786	0.1025490308
-5	85	1.20600085332361	0.3952870537	1.896874453	0.1047129463
-10	85	1.23969944989223	0.2855230584	1.916359180	0.1064176390
-15	85	1.27784567770813	0.1704438755	1.929920201	0.1076040746
-20	85	1.32055755214659	0.04986137306	1.936745713	0.1082012296
-25	85	1.36792612880378	-0.07630174874	1.935883088	0.1081257597
-30	85	1.41999801345996	-0.2079697939	1.926239653	0.1072820684
-35	85	1.47676357590951	-0.3448699041	1.906599270	0.1055637575
-40	85	1.53813429462007	-0.4864806574	1.875641868	0.1028553358
-45	85	1.60392555944598	-0.6319825841	1.831982584	0.09903564342

45	90	1.08711405648118	1.268705721	1.468705721	0.000000000
40	90	1.08202316933725	1.195511087	1.528877836	0.000000000
35	90	1.08059080325071	1.119801422	1.585168166	0.000000000
30	90	1.08280620126087	1.041403101	1.637737678	0.000000000
25	90	1.08868457915265	0.9600979844	1.686683312	0.000000000
20	90	1.09826726824345	0.8756295285	1.732033648	0.000000000
15	90	1.11161792428852	0.7877078897	1.773740462	0.000000000
10	90	1.12882309259288	0.6960180729	1.811673733	0.000000000
5	90	1.14999021285862	0.6002282512	1.845614153	0.000000000
0	90	1.17524068712259	0.5000000000	1.875240687	0.000000000
-5	90	1.20470827002509	0.3950027559	1.900123991	0.000000000
-10	90	1.23852408538067	0.2849325496	1.919708122	0.000000000
-15	90	1.27681732880118	0.1695353582	1.933310833	0.000000000
-20	90	1.31970024871218	0.04863593179	1.940112585	0.000000000
-25	90	1.36725636946125	-0.07782751022	1.939155095	0.000000000
-30	90	1.41952302700744	-0.2097615135	1.929343003	0.000000000
-35	90	1.47648017537829	-0.3468742373	1.909461754	0.000000000
-40	90	1.53802857941658	-0.4886257142	1.878198247	0.000000000
-45	90	1.60397195991293	-0.6341794497	1.834179450	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	1.60397195102096	-0.6341794434	1.834179443	1.388969225e-16
-90	40	1.67401989763031	-0.7823736403	1.776039249	1.570454774e-16
-90	35	1.74776492450810	-0.9316852108	1.702476777	1.753308711e-16
-90	30	1.82467815540229	-1.080217636	1.612339078	1.935208470e-16
-90	25	1.90411889454068	-1.225717782	1.504715417	2.113394757e-16
-90	20	1.98533169481690	-1.365601543	1.379023431	2.284702959e-16
-90	15	2.06747603973717	-1.497028502	1.235102174	2.445654563e-16
-90	10	2.14963692154807	-1.616979107	1.073280534	2.592551687e-16
-90	5	2.23083913552974	-1.722350119	0.8944304418	2.721593960e-16
-90	-2.84217e-14	2.31008687144812	-1.810086871	0.7000000000	2.829040493e-16
-90	-5	2.38638176326976	-1.877300860	0.4920131249	2.911353889e-16
-90	-10	2.45874039171754	-1.921386600	0.2730442116	2.965343350e-16
-90	-15	2.52620515191104	-1.940126799	0.04616999485	2.988293474e-16
-90	-20	2.58788986600640	-1.931821010	-0.1851104629	2.978121817e-16
-90	-25	2.64297859318514	-1.895352080	-0.4169710189	2.933460258e-16
-90	-30	2.69072951147886	-1.830240112	-0.6453647557	2.853721094e-16
-90	-35	2.73050763466035	-1.736700911	-0.8661548385	2.739168611e-16
-90	-40	2.76178091819543	-1.615646925	-1.075238555	2.590920235e-16
-90	-45	2.78412888528128	-1.468676414	-1.268676414	2.410933270e-16

-85	45	1.60392554624861	-0.6319825748	1.831982575	0.09903564261
-85	40	1.67378698777759	-0.7793252625	1.773481356	0.1119264574
-85	35	1.74727443701525	-0.9276219253	1.699631634	0.1249007343
-85	30	1.82385838996537	-1.074993386	1.609322855	0.1377940664
-85	25	1.90290369158469	-1.219220389	1.501685633	0.1504122941
-85	20	1.98366669573866	-1.357769302	1.376172728	0.1625337534
-85	15	2.06532463455790	-1.487864836	1.232646778	0.1739156378
-85	10	2.14698359590750	-1.606561559	1.071443639	0.1843002554
-85	5	2.22769547976186	-1.710837415	0.8934232107	0.1934232107
-85	-2.84217e-14	2.30649206995521	-1.797715171	0.7000000000	0.2010240295
-85	-5	2.38240035666652	-1.864371564	0.4931442918	0.2068557082
-85	-10	2.45446187151905	-1.908250829	0.2753604025	0.2106946465
-85	-15	2.52173889766027	-1.927161327	0.04964408249	0.2123491007
-85	-20	2.58335717936599	-1.919399224	-0.1805893024	0.2116700047
-85	-25	2.63850540354530	-1.883816011	-0.4115916613	0.2085568769
-85	-30	2.68644189758958	-1.819877598	-0.6393819558	0.2029629906
-85	-35	2.72651965118784	-1.727720587	-0.8598667477	0.1949002968
-85	-40	2.75818783829410	-1.608165140	-1.068960592	0.1844405506
-85	-45	2.78100267591443	-1.462713654	-1.262713654	0.1717151945

-80	45	1.60378648222143	-0.6253350246	1.825335025	0.1984269272
-80	40	1.67308712886608	-0.7701247159	1.765761181	0.2239572563
-80	35	1.74580258988544	-0.9153896811	1.691066524	0.2495713890
-80	30	1.82140412435661	-1.059306736	1.600266164	0.2749478488
-80	25	1.89927241608695	-1.199757898	1.492610125	0.2997131781
-80	20	1.97870014121452	-1.334359952	1.367652421	0.3234471518
-80	15	2.05891573407420	-1.460527200	1.225321680	0.3456938417
-80	10	2.13908802782036	-1.575530429	1.065972014	0.3659720139
-80	5	2.21834727972280	-1.676581652	0.8904262198	0.3837900710
-80	-2.84217e-14	2.29580444104213	-1.760926013	0.7000000000	0.3986622575
-80	-5	2.37056172520359	-1.825930301	0.4965074665	0.4101242674
-80	-10	2.44172976694436	-1.869179933	0.2822496557	0.4177503443
-80	-15	2.50843444593042	-1.888564951	0.05998595028	0.4211684461
-80	-20	2.56983631539838	-1.882374530	-0.1671134160	0.4200769079
-80	-25	2.62514045136128	-1.849375044	-0.3955315747	0.4142582080
-80	-30	2.67360393275332	-1.788876240	-0.6214833131	0.4035906366
-80	-35	2.71454958530320	-1.700790338	-0.8410099847	0.3880587155
-80	-40	2.74737587314455	-1.585671416	-1.050086116	0.3677601434
-80	-45	2.77157093726002	-1.444738831	-1.244738831	0.3429099264

-75	45	1.60356407982386	-0.6140706773	1.814070677	0.2985143383
-75	40	1.67192586505697	-0.7546124756	1.752744866	0.3361723997
-75	35	1.74335791423228	-0.8948705261	1.676698857	0.3737544310
-75	30	1.81733684066573	-1.033123574	1.585149308	0.4107992235
-75	25	1.89327305622846	-1.167425488	1.477533274	0.4467853129
-75	20	1.97051987867739	-1.295637589	1.353558634	0.4811396418
-75	15	2.04838572997199	-1.415472384	1.213249278	0.5132492785
-75	10	2.12614202495205	-1.524540976	1.056981198	0.5424741196
-75	5	2.20303959041737	-1.620414806	0.8855122575	0.5681634349
-75	-2.84217e-14	2.27830929127882	-1.700677785	0.7000000000	0.5896698352
-75	-5	2.35117632032998	-1.762995683	0.5020135322	0.6063678656
-75	-10	2.42086021800945	-1.805175596	0.2935353472	0.6176699393
-75	-15	2.48657977502579	-1.825233388	0.07695559153	0.6230444085
-75	-20	2.54756194542422	-1.821467567	-0.1449450942	0.6220353598
-75	-25	2.60304633533832	-1.792530278	-0.3690244250	0.6142816365
-75	-30	2.65229097645937	-1.737499252	-0.5918207952	0.5995361175
-75	-35	2.69458230470007	-1.655950540	-0.8096128203	0.5776852062
-75	-40	2.72925036716089	-1.548028343	-1.018499828	0.5487675407
-75	-45	2.75567701791995	-1.414497213	-1.214497213	0.5129879821

-70	45	1.60327037969767	-0.5979052529	1.797905253	0.3996048321
-70	40	1.67031020296037	-0.7325208510	1.734207791	0.4486009029
-70	35	1.73995502383536	-0.8658726720	1.656394341	0.4971369964
-70	30	1.81169636813899	-0.9963973125	1.563945391	0.5446440804
-70	25	1.88499080116756	-1.122391550	1.456533604	0.5905022324
-70	20	1.95927409647464	-1.242042502	1.334051617	0.6340516175
-70	15	2.03396136877234	-1.353448690	1.196630080	0.6746001539
-70	10	2.10845917402965	-1.454653456	1.044658142	0.7114356762
-70	5	2.18216464832952	-1.543669183	0.8787978855	0.7438347514
-70	-2.84217e-14	2.25446660667104	-1.618505634	0.7000000000	0.7710729919
-70	-5	2.32474106390448	-1.677196700	0.5095199705	0.7924347930
-70	-10	2.39235043716213	-1.717835710	0.3089357255	0.8072261830
-70	-15	2.45663526889798	-1.738610571	0.1001661054	0.8147876139
-70	-20	2.51691596419349	-1.737856659	-0.1145132123	0.8145132123
-70	-25	2.57249069742396	-1.714115404	-0.3324589688	0.8058721022
-70	-30	2.62263443305823	-1.666203557	-0.5506582069	0.7884336162
-70	-35	2.66660904434616	-1.593300327	-0.7657446688	0.7618990104
-70	-40	2.70366598412007	-1.495033434	-0.9740318184	0.7261327862
-70	-45	2.73306825791571	-1.371580761	-1.171580761	0.6811996879

-65	45	1.60292842527829	-0.5764352581	1.776435258	0.5019500044
-65	40	1.66825491143831	-0.7034795413	1.709839239	0.5611917266
-65	35	1.73561839190661	-0.8281410613	1.629974383	0.6193223480
-65	30	1.80454063831203	-0.9490791513	1.536626238	0.6757167055
-65	25	1.87454350356233	-1.064901027	1.429725333	0.7297253330
-65	20	1.94516482342750	-1.174182691	1.309352666	0.7806842100
-65	15	2.01594998306942	-1.275468347	1.175735310	0.8279144870
-65	10	2.08645666046720	-1.367278836	1.029251639	0.8707264214
-65	5	2.15624699028162	-1.448108990	0.8704374520	0.9084181412
-65	-2.84217e-14	2.22488337519543	-1.516429128	0.7000000000	0.9402763446
-65	-5	2.29191603830088	-1.570682190	0.5188387826	0.9655749627
-65	-10	2.35686559765645	-1.609281891	0.3280766926	0.9835742991
-65	-15	2.41921914683208	-1.630631740	0.1290989459	0.9935298970
-65	-20	2.47841923544518	-1.633149096	-0.07640277625	0.9947037595
-65	-25	2.53385198437655	-1.615303040	-0.2863820069	0.9863820069
-65	-30	2.58483961876198	-1.575673510	-0.4983906599	0.9679024537
-65	-35	2.63063921190483	-1.513034646	-0.7095420337	0.9386934715
-65	-40	2.67044604317276	-1.426460493	-0.9164922892	0.8983232810
-65	-45	2.70340528237335	-1.315452716	-1.115452716	0.8465595044

-60	45	1.60257178647286	-0.5491295026	1.749129503	0.6057152007
-60	40	1.66578452570888	-0.6670202137	1.679246231	0.6737794345
-60	35	1.73038806128763	-0.7813738856	1.597227654	0.7398015578
-60	30	1.79595210056126	-0.8911385152	1.503174196	0.8031741962
-60	25	1.86208668368917	-0.9952896787	1.397265028	0.8633058985
-60	20	1.92844741431113	-1.092829560	1.279742548	0.9196205750
-60	15	1.99472527057778	-1.182770231	1.150896925	0.9715478460
-60	10	2.06063582939852	-1.264113349	1.011060781	1.018511317
-60	5	2.12591013711545	-1.335830251	0.8606143351	1.059917089
-60	-2.84217e-14	2.19028586365838	-1.396843199	0.7000000000	1.095142932
-60	-5	2.25348793220410	-1.446000089	0.5297470530	1.123523675
-60	-10	2.31520838962906	-1.482053291	0.3505105277	1.144339001
-60	-15	2.37509470007554	-1.503653694	0.1631226107	1.156810000
-60	-20	2.43273413351993	-1.509352607	-0.03134453892	1.160100268
-60	-25	2.48763200033520	-1.497614014	-0.2315027128	1.153322989
-60	-30	2.53919658247368	-1.466853215	-0.4355632333	1.135563233
-60	-35	2.58672640563729	-1.415503083	-0.6412496979	1.105916220
-60	-40	2.62940135712285	-1.342113723	-0.8457169452	1.063544854
-60	-45	2.66627886854639	-1.245489248	-1.045489248	1.007758687

-55	45	1.60225096603343	-0.5153260473	1.715326047	0.7109389521
-55	40	1.66294319008093	-0.6225911517	1.641965821	0.7860467867
-55	35	1.72432496036125	-0.7252445783	1.557925490	0.8579254899
-55	30	1.78604077950286	-0.8225854158	1.463595046	0.9260842780
-55	25	1.84781344910183	-0.9139956841	1.359357016	0.9900904370
-55	20	1.90942683594751	-0.9989088216	1.245558195	1.049547256
-55	15	1.97071672604646	-1.076781597	1.122497356	1.104074360
-55	10	2.03155838958675	-1.147062960	0.9904216388	1.153285900
-55	5	2.09184282186077	-1.209153762	0.8495315784	1.196762348
-55	-2.84217e-14	2.15146910290580	-1.262380314	0.7000000000	1.234031981
-55	-5	2.21032794542491	-1.305962801	0.5419987281	1.264548767
-55	-10	2.26828042969630	-1.338982673	0.3757377376	1.287669531
-55	-15	2.32513835522186	-1.360356347	0.2015190192	1.302635538
-55	-20	2.38064625553050	-1.368818227	0.01980579226	1.308560610
-55	-25	2.43445837244084	-1.362911883	-0.1686900775	1.304424943
-55	-30	2.48611269339472	-1.340997377	-0.3629003312	1.289080241
-55	-35	2.53500648935262	-1.301286317	-0.5612742576	1.261274258
-55	-40	2.58036849317305	-1.241910882	-0.7616367784	1.219699130
-55	-45	2.62123457431817	-1.161042993	-0.9610429925	1.163074825

-50	45	1.60204127496651	-0.4742339848	1.674233985	0.8174793773
-50	40	1.65979631328071	-0.5695735369	1.597478760	0.8974787604
-50	35	1.71751664070692	-0.6594316602	1.511842789	0.9728786785
-50	30	1.77495377905906	-0.7435023297	1.417936405	1.043422346
-50	25	1.83195507910370	-0.8215728863	1.316259558	1.108931321
-50	20	1.88844420741949	-0.8934817960	1.207185896	1.169270061
-50	15	1.94439549110191	-0.9590735700	1.090957585	1.224308094
-50	10	1.99982433995512	-1.018167391	0.9676938723	1.273893698
-50	5	2.05476628229011	-1.070519088	0.8374026160	1.317821987
-50	-2.84217e-14	2.10926273689273	-1.115788999	0.7000000000	1.355807953
-50	-5	2.16334983031792	-1.153512729	0.5553363812	1.387461921
-50	-10	2.21703722031817	-1.183064630	0.4032302954	1.412258910
-50	-15	2.27029469711634	-1.203628199	0.2435141999	1.429513793
-50	-20	2.32303131336247	-1.214163349	0.07609556433	1.438353834
-50	-25	2.37506983814307	-1.213376019	-0.09896035913	1.437693186
-50	-30	2.42611622619763	-1.199695629	-0.2813197288	1.426213975
-50	-35	2.47572511426113	-1.171270025	-0.4702358701	1.402362062
-50	-40	2.52325516127553	-1.125986831	-0.6643649502	1.364364950
-50	-45	2.56782219136520	-1.061545064	-0.8615450643	1.310291888

-45	45	1.60205197012195	-0.4249451362	1.624945136	0.9249451362
-45	40	1.65644309715829	-0.5073168428	1.545239191	1.007316843
-45	35	1.71008679125172	-0.5836602374	1.458787067	1.083660237
-45	30	1.76287166737981	-0.6540704080	1.366302861	1.154070408
-45	25	1.81478242836698	-0.7187043169	1.268291156	1.218704317
-45	20	1.86587353829204	-0.7777335531	1.165056981	1.277733553
-45	15	1.91624950069569	-0.8313078074	1.056722852	1.331307807
-45	10	1.96604370924642	-0.8795214453	0.9432468513	1.379521445
-45	5	2.01540727004667	-0.9223889109	0.8244429048	1.422388911
-45	-2.84217e-14	2.06449618287942	-0.9598192506	0.7000000000	1.459819251
-45	-5	2.11346352169396	-0.9915928515	0.5695025349	1.491592851
-45	-10	2.16244476938447	-1.017330932	0.4324536180	1.517330932
-45	-15	2.21154783137114	-1.036465316	0.2883053594	1.536465316
-45	-20	2.26083682356609	-1.048200887	0.1365009603	1.548200887
-45	-25	2.31030930501926	-1.051471890	-0.02346322357	1.551471890
-45	-30	2.35986707427931	-1.044895643	-0.1919459151	1.544895643
-45	-35	2.40927431551006	-1.026726474	-0.3690253858	1.526726474
-45	-40	2.45810192897051	-0.9948219342	-0.5543045337	1.494821934
-45	-45	2.50565835692465	-0.9466425269	-0.7466425269	1.446642527


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.78412889772766	-1.468676423	-1.268676423	2.410933280e-16
-40	-90	2.79724996664877	-1.298037620	-1.442817793	2.624194951e-16
-35	-90	2.80096392459873	-1.106566906	-1.594415325	2.809848383e-16
-30	-90	2.79522175081345	-0.8976108754	-1.720733045	2.964542976e-16
-25	-90	2.78010349810424	-0.6749225078	-1.819629449	3.085656140e-16
-20	-90	2.75581639798819	-0.4425447194	-1.889620333	3.171370252e-16
-15	-90	2.72268819708285	-0.2046835593	-1.929914846	3.220716799e-16
-10	-90	2.68115783906838	0.03442182721	-1.940425027	3.233588058e-16
-5	-90	2.63178530093022	0.2706247973	-1.921770563	3.210742928e-16
-2.84217e-14	-90	2.57522833654800	0.5000000000	-1.875228337	3.153745139e-16
5	-90	2.51222849932173	0.7189551408	-1.802668711	3.064885227e-16
10	-90	2.44363099115414	0.9243320685	-1.706506746	2.947120783e-16
15	-90	2.37034242044631	1.113489762	-1.589574961	2.803920647e-16
20	-90	2.29332288344622	1.284362621	-1.455018591	2.639136619e-16
25	-90	2.21356415754936	1.435492637	-1.306170433	2.456850199e-16
30	-90	2.13206292532540	1.566031463	-1.146420656	2.261213146e-16
35	-90	2.04981674001854	1.675726581	-0.9791115730	2.056318613e-16
40	-90	1.96778788123989	1.764869669	-0.8074129717	1.846048471e-16
45	-90	1.88687782808241	1.834224108	-0.6342241075	1.633953283e-16

-45	-85	2.78100269531630	-1.462713668	-1.262713668	0.1717151957
-40	-85	2.79353970738165	-1.291633472	-1.435185627	0.1868045369
-35	-85	2.79671004726199	-1.100023313	-1.585070105	0.1999177296
-30	-85	2.79049502196211	-0.8912598234	-1.709732701	0.2108242934
-25	-85	2.77500032623528	-0.6690964205	-1.807135365	0.2193459223
-20	-85	2.75045270292357	-0.4375471755	-1.875889694	0.2253611468
-15	-85	2.71719629960140	-0.2007643393	-1.915288118	0.2288080622
-10	-85	2.67567654441065	0.03708866937	-1.925300613	0.2296840420
-5	-85	2.62645140731565	0.2719541704	-1.906575760	0.2280458296
-2.84217e-14	-85	2.57016831671922	0.5000000000	-1.860388050	0.2240049286
5	-85	2.50755511420541	0.7177224695	-1.788579214	0.2177224695
10	-85	2.43943190985122	0.9220393058	-1.693503842	0.2094044523
15	-85	2.36667806384407	1.110365762	-1.577916035	0.1992918295
20	-85	2.29022465277357	1.280669179	-1.444870942	0.1876518922
25	-85	2.21103369101044	1.431499557	-1.297607246	0.1747679882
30	-85	2.13007687458631	1.561994504	-1.139428438	0.1609291357
35	-85	2.04832788635529	1.671867057	-0.9735996011	0.1464209924
40	-85	1.96673164585988	1.761361075	-0.8032315924	0.1315157230
45	-85	1.88617956622845	1.831185482	-0.6311854824	0.1164636388

-45	-80	2.77157097616393	-1.444738858	-1.244738858	0.3429099312
-40	-80	2.78237468978734	-1.272380460	-1.412240780	0.3724450393
-35	-80	2.78394127967265	-1.080402632	-1.557048868	0.3979786123
-30	-80	2.77633937733316	-0.8722624035	-1.676828204	0.4190989409
-25	-80	2.75974854736028	-0.6517066336	-1.769842846	0.4354999319
-20	-80	2.73445242266864	-0.4226581346	-1.834982391	0.4469857911
-15	-80	2.70083511019142	-0.1891040822	-1.871771446	0.4534726942
-10	-80	2.65936500726855	0.04501490603	-1.880348692	0.4549850940
-5	-80	2.61059009259667	0.2759030755	-1.861439568	0.4516509053
-2.84217e-14	-80	2.55512784971525	0.5000000000	-1.816309716	0.4436932948
5	-80	2.49366014356560	0.7140594843	-1.746711101	0.4314211812
10	-80	2.42693753637290	0.9152195731	-1.654827216	0.4152195731
15	-80	2.35576330295305	1.101060799	-1.543189439	0.3955348210
20	-80	2.28098263684834	1.269648492	-1.414591854	0.3728595970
25	-80	2.20347275868797	1.419559934	-1.272002643	0.3477172720
30	-80	2.12412875206561	1.549893990	-1.118469733	0.3206452776
35	-80	2.04385781490469	1.660268104	-0.9570345797	0.2921799044
40	-80	1.96355197590025	1.750788101	-0.7906312125	0.2628385011
45	-80	1.88407168260918	1.822003818	-0.6220038183	0.2331049418

-45	-75	2.75567707119121	-1.414497250	-1.214497250	0.5129879921
-40	-75	2.76365630905147	-1.240163873	-1.373846548	0.5556855077
-35	-75	2.76264046490376	-1.047741725	-1.510404259	0.5922760362
-30	-75	2.75283329241889	-0.8407907822	-1.622317757	0.6222631676
-25	-75	2.73452446669879	-0.6230201345	-1.708324450	0.6453085916
-20	-75	2.70808713704757	-0.3981861836	-1.767746258	0.6612306169
-15	-75	2.67395774805023	-0.1699943594	-1.800452990	0.6699943594
-10	-75	2.63262541887462	0.05797977559	-1.806821263	0.6717007329
-5	-75	2.58462165370426	0.2823557053	-1.787685672	0.6665733667
-2.84217e-14	-75	2.53051520000833	0.5000000000	-1.744289986	0.6549455277
5	-75	2.47090992164184	0.7080689243	-1.678238687	0.6372471356
10	-75	2.40645490593984	0.9040459877	-1.591458664	0.6139944986
15	-75	2.33783037417996	1.085773341	-1.486135870	0.5857733410
20	-75	2.26575365033674	1.251478265	-1.364669565	0.5532265426
25	-75	2.19096959824031	1.399791903	-1.229609962	0.5170374311
30	-75	2.11425203285169	1.529764368	-1.083604206	0.4779153066
35	-75	2.03640095917518	1.640873296	-0.9293359236	0.4365792449
40	-75	1.95822348559662	1.733015030	-0.7694500913	0.3937379653
45	-75	1.88052334066633	1.806487179	-0.6064871795	0.3500721847

-45	-70	2.73306833597113	-1.371580814	-1.171580814	0.6811997074
-40	-70	2.73723406148462	-1.194816201	-1.319803297	0.7351482791
-35	-70	2.73279498808828	-1.002124840	-1.445256596	0.7808095459
-30	-70	2.72011756745330	-0.7971450831	-1.546721189	0.8177396374
-25	-70	2.69963210533439	-0.5834866701	-1.623544662	0.8457010951
-20	-70	2.67180592417010	-0.3646380161	-1.675573425	0.8646380161
-15	-70	2.63712974738054	-0.1439050302	-1.703086288	0.8746518792
-10	-70	2.59610018800761	0.07562988235	-1.706722533	0.8759753641
-5	-70	2.54921580168289	0.2911274039	-1.687424698	0.8689515265
-2.84217e-14	-70	2.49697915411816	0.5000000000	-1.646392885	0.8540171682
5	-70	2.43989395985197	0.6999151995	-1.585041186	0.8316869758
10	-70	2.37847649466950	0.8887963779	-1.504973830	0.8025448414
15	-70	2.31325890815717	1.064825848	-1.407958764	0.7672342451
20	-70	2.24479814213938	1.226451646	-1.295909494	0.7264516463
25	-70	2.17367664438857	1.372396526	-1.170860387	0.6809374932
30	-70	2.10051052218020	1.501672475	-1.034947619	0.6314692914
35	-70	2.02595766948162	1.613600308	-0.8903860602	0.5788531869
40	-70	1.95070754342477	1.707821719	-0.7394258726	0.5239081721
45	-70	1.87548184910750	1.784313239	-0.5843132387	0.4674517903

-45	-65	2.70340537087881	-1.315452775	-1.115452775	0.8465595321
-40	-65	2.70292437753516	-1.136152292	-1.249890372	0.9092488131
-35	-65	2.69441150100889	-0.9437123302	-1.361834887	0.9614493975
-30	-65	2.67841874106814	-0.7417760774	-1.450819258	1.002943491
-25	-65	2.65550892067746	-0.5337408163	-1.516864334	1.033740816
-20	-65	2.62623585842374	-0.3227085968	-1.560373293	1.054029377
-15	-65	2.59112010905722	-0.1114672180	-1.582026725	1.064126538
-10	-65	2.55064651469392	0.09749724864	-1.582706536	1.064443539
-5	-65	2.50526188692784	0.3019751659	-1.563434211	1.055456706
-2.84217e-14	-65	2.45537968758423	0.5000000000	-1.525329731	1.037688295
5	-65	2.40138670551136	0.6898141693	-1.469585883	1.011694512
10	-65	2.34365664232527	0.8698388786	-1.397460509	0.9780618978
15	-65	2.28256003572050	1.038651462	-1.310274624	0.9374064520
20	-65	2.21847818859171	1.194972263	-1.209420600	0.8903774483
25	-65	2.15181205358137	1.337660884	-1.096369562	0.8376608835
30	-65	2.08300132142681	1.465726968	-0.9726881751	0.7799873057
35	-65	2.01253407169807	1.578350598	-0.8400442576	0.7181344312
40	-65	1.94095681943360	1.674912985	-0.7002067710	0.6529271403
45	-65	1.86887773273599	1.755031636	-0.5550316364	0.5852308633

-45	-60	2.66627899400126	-1.245489331	-1.045489331	1.007758735
-40	-60	2.66053318943584	-1.064018069	-1.163924153	1.076137111
-35	-60	2.64755380853704	-0.8727894601	-1.260546531	1.131922067
-30	-60	2.62806446315581	-0.6753061578	-1.335689980	1.175306158
-25	-60	2.60273516233760	-0.4746035041	-1.390043959	1.206687442
-20	-60	2.57216326710603	-0.2732606423	-1.424516154	1.226589973
-15	-60	2.53686886993385	-0.07344557080	-1.440128006	1.235603480
-10	-60	2.49729497616073	0.1230238680	-1.437937884	1.234339013
-5	-60	2.45381270416205	0.3146123446	-1.418990598	1.223399792
-2.84217e-14	-60	2.40673132620456	0.5000000000	-1.384290469	1.203365663
5	-60	2.35631184462456	0.6780213818	-1.334793705	1.174788693
10	-60	2.30278500858660	0.8476141159	-1.271417616	1.138198491
15	-60	2.24636058612503	1.007777735	-1.195052306	1.094108959
20	-60	2.18724538112472	1.157544095	-1.106587554	1.043033811
25	-60	2.12566046388941	1.295961174	-1.006944247	0.9855047205
30	-60	2.06186065247440	1.422092116	-0.8971103938	0.9220921158
35	-60	1.99615572923200	1.535031483	-0.7781781499	0.8534265528
40	-60	1.92892445995452	1.633935379	-0.6513715614	0.7802147347
45	-60	1.86062955295116	1.718067967	-0.5180679667	0.7032518684

-45	-55	2.62123451293788	-1.161042954	-0.9610429536	1.163074797
-40	-55	2.60989067102966	-0.9783594679	-1.061840207	1.233653794
-35	-55	2.59236511621319	-0.7898126301	-1.142043337	1.289812630
-30	-55	2.56950341307835	-0.5985527872	-1.202749242	1.332319363
-25	-55	2.54202214219451	-0.4070721589	-1.245222522	1.362059473
-20	-55	2.51051328737250	-0.2172995957	-1.270764442	1.379944118
-15	-55	2.47545041805619	-0.03070603287	-1.280621879	1.386846370
-10	-55	2.43720014540001	0.1515898023	-1.275932420	1.383562776
-5	-55	2.39603629001143	0.3287237050	-1.257697010	1.370794204
-2.84217e-14	-55	2.35215515638873	0.5000000000	-1.226772705	1.349140772
5	-55	2.30569259848521	0.6648182406	-1.183881110	1.319107755
10	-55	2.25674381710697	0.8226130447	-1.129629495	1.281120365
15	-55	2.20537453703903	0.9728050956	-1.064532639	1.235539055
20	-55	2.15163240434339	1.114760759	-0.9890413033	1.182679453
25	-55	2.09557325198777	1.247765380	-0.9035880329	1.122844429
30	-55	2.03727991633979	1.371008584	-0.8086311220	1.056354884
35	-55	1.97687854827781	1.483581712	-0.7047002618	0.9835817122
40	-55	1.91457082933582	1.584499034	-0.5924556203	0.9049871682
45	-55	1.85065301000195	1.672735261	-0.4727352614	0.8211580704

-45	-50	2.56782214010486	-1.061545033	-0.8615450332	1.310291861
-40	-50	2.55090397079367	-0.8793151095	-0.9438037370	1.379315109
-35	-50	2.52910908679365	-0.6954696245	-1.007307561	1.432601145
-30	-50	2.50331761351466	-0.5125462807	-1.053781603	1.471597496
-25	-50	2.47421819463276	-0.3323133180	-1.084901670	1.497710333
-20	-50	2.44233171340089	-0.1559453506	-1.102195039	1.512221193
-15	-50	2.40803619801626	0.01581865915	-1.106989364	1.516244109
-10	-50	2.37159093464590	0.1825419373	-1.100394140	1.510710059
-5	-50	2.33315806320957	0.3439812721	-1.083302220	1.496368235
-2.84217e-14	-50	2.29282014535207	0.5000000000	-1.056402131	1.473796381
5	-50	2.25059800955602	0.6504979213	-1.020199112	1.443418440
10	-50	2.20646889967726	0.7953550430	-0.9750416855	1.405526861
15	-50	2.16037473908802	0.9343843082	-0.9211443081	1.360301591
20	-50	2.11223715949732	1.067290731	-0.8586184750	1.307836188
25	-50	2.06197177493607	1.193635902	-0.7875069924	1.248166569
30	-50	2.00950616590383	1.312808564	-0.7078257295	1.181306050
35	-50	1.95480456548967	1.424005015	-0.6196159205	1.107289232
40	-50	1.89788700077041	1.526218253	-0.5229992897	1.026218253
45	-50	1.83886818833714	1.618253263	-0.4182532627	0.9383259003

-45	-45	2.50565818463377	-0.9466424274	-0.7466424274	1.446642427
-40	-45	2.48361576795940	-0.7673235723	-0.8103374202	1.510337420
-35	-45	2.45821112699849	-0.5907392659	-0.8577371085	1.557737109
-30	-45	2.43024858854973	-0.4185476271	-0.8909711592	1.590971159
-25	-45	2.40030001489514	-0.2516434196	-0.9119045151	1.611904515
-20	-45	2.36875235215742	-0.09039629119	-0.9221004786	1.622100479
-15	-45	2.33584766944465	0.06516610084	-0.9228222045	1.622822205
-10	-45	2.30171749370192	0.2152222353	-0.9150549597	1.615054960
-5	-45	2.26640732086256	0.3600588999	-0.8995340935	1.599534094
-2.84217e-14	-45	2.22989376720087	0.5000000000	-0.8767730041	1.576773004
5	-45	2.19209970656194	0.6353529181	-0.8470909332	1.547090933
10	-45	2.15290882357310	0.7663665563	-0.8106398082	1.510639808
15	-45	2.11216982059044	0.8931947493	-0.7674227816	1.467422782
20	-45	2.06970857743579	1.015861553	-0.7173179695	1.417317969
25	-45	2.02533529764764	1.134224863	-0.6600996086	1.360099609
30	-45	1.97885679197641	1.247937565	-0.5954658627	1.295465863
35	-45	1.93009453991975	1.356407279	-0.5230763480	1.223076348
40	-45	1.87890675543802	1.458756524	-0.4426015322	1.142601532
45	-45	1.82522218157789	1.553792518	-0.3537925179	1.053792518