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path: root/test/Kerr-definition-inner-expansion/h.t0.ah1.gp
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# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.55669130296034	-0.9761064120	-0.7761064120	1.476106412
-40	-45	2.53795017223158	-0.7950489846	-0.8433792800	1.543379280
-35	-45	2.51517206938995	-0.6160135542	-0.8938325329	1.593832533
-30	-45	2.48918310342422	-0.4408227799	-0.9295528557	1.629552856
-25	-45	2.46059490175562	-0.2705244989	-0.9523951203	1.652395120
-20	-45	2.42984286018510	-0.1056227075	-0.9639347135	1.663934713
-15	-45	2.39721752048201	0.05374168650	-0.9654586993	1.665458699
-10	-45	2.36289643924937	0.2076529296	-0.9579826255	1.657982626
-5	-45	2.32696506519085	0.3563197144	-0.9422731792	1.642273179
0	-45	2.28943450410283	0.5000000000	-0.9188746629	1.618874663
5	-45	2.25025679597314	0.6389438733	-0.8881357385	1.588135739
10	-45	2.20934200340629	0.7733486968	-0.8502374944	1.550237494
15	-45	2.16656050753941	0.9033199449	-0.8052105260	1.505210526
20	-45	2.12175673635793	1.028834222	-0.7529600844	1.452960084
25	-45	2.07476351970985	1.149703094	-0.6932927819	1.393292782
30	-45	2.02541424008698	1.265534626	-0.6259448670	1.325944867
35	-45	1.97356343833215	1.375694977	-0.5506220357	1.250622036
40	-45	1.91911076925308	1.479271571	-0.4670504133	1.167050413
45	-45	1.86204584300896	1.575052669	-0.3750526687	1.075052669

-45	-40	2.51186690822875	-1.027517515	-0.5817393835	1.527517515
-40	-40	2.49226801534156	-0.8476096983	-0.6476096983	1.606018699
-35	-40	2.46842518235165	-0.6667853084	-0.6982270520	1.666342113
-30	-40	2.44110705433196	-0.4873832451	-0.7350264666	1.710197947
-25	-40	2.41091826833527	-0.3110195728	-0.7593931978	1.739237087
-20	-40	2.37831729940390	-0.1387527813	-0.7725853182	1.754958843
-15	-40	2.34363900490189	0.02876693598	-0.7756957714	1.758665737
-10	-40	2.30711541640769	0.1911725459	-0.7696389732	1.751447526
-5	-40	2.26889438661370	0.3482785965	-0.7551528004	1.734183578
0	-40	2.22905586652050	0.5000000000	-0.7328094923	1.707555860
5	-40	2.18762746295465	0.6462870687	-0.7030323525	1.672068847
10	-40	2.14460308189979	0.7870737655	-0.6661181616	1.628076227
15	-40	2.09994896335019	0.9222345601	-0.6222538961	1.575800831
20	-40	2.05361693308012	1.051546898	-0.5715402379	1.515362647
25	-40	2.00556234288359	1.174660081	-0.5140204334	1.446813213
30	-40	1.95575505687638	1.291067221	-0.4497079835	1.370168620
35	-40	1.90420592137084	1.400087841	-0.3786278843	1.285458656
40	-40	1.85097924456515	1.500854469	-0.3008544691	1.192771909
45	-40	1.79623015010761	1.592324202	-0.2165688348	1.092324202

-45	-35	2.46503398802974	-1.062060669	-0.3937666554	1.562060669
-40	-35	2.44393845358260	-0.8843566674	-0.4552108213	1.649812032
-35	-35	2.41856958133984	-0.7033419109	-0.5033419109	1.718550352
-30	-35	2.38962548722185	-0.5216486680	-0.5390504290	1.769547400
-25	-35	2.35768846184744	-0.3412961978	-0.5632902962	1.804165518
-20	-35	2.32322611297610	-0.1637882221	-0.5769987024	1.823743151
-15	-35	2.28660463846028	0.009780172706	-0.5810474080	1.829525302
-10	-35	2.24810333692208	0.1786221560	-0.5762152909	1.822624324
-5	-35	2.20792902688239	0.3421702105	-0.5631763240	1.804002749
0	-35	2.16623014760661	0.5000000000	-0.5424985684	1.774471854
5	-35	2.12311122294074	0.6517667431	-0.5146512852	1.734701812
10	-35	2.07865000323067	0.7971536252	-0.4800191188	1.685241952
15	-35	2.03290499120363	0.9358297525	-0.4389147148	1.626538780
20	-35	1.98592902366055	1.067416270	-0.3915979173	1.558963390
25	-35	1.93778500212549	1.191461650	-0.3382987528	1.482844294
30	-35	1.88855405893144	1.307423067	-0.2792386838	1.398497774
35	-35	1.83835988915833	1.414662749	-0.2146627490	1.306273782
40	-35	1.78737565462124	1.512449966	-0.1448640329	1.206590885
45	-35	1.73584356708183	1.599981979	-0.07021567324	1.099981979

-45	-30	2.41694244718776	-1.082260245	-0.2135183783	1.582260245
-40	-30	2.39377574361580	-0.9072023352	-0.2682385939	1.677038438
-35	-30	2.36644209922168	-0.7270295551	-0.3117369569	1.752379813
-30	-30	2.33557802598367	-0.5445022466	-0.3445022466	1.809130960
-25	-30	2.30173833123414	-0.3618941625	-0.3671384397	1.848337996
-20	-30	2.26539280136457	-0.1810372868	-0.3803000461	1.871134567
-15	-30	2.22693228231210	-0.003386071274	-0.3846462388	1.878662394
-10	-30	2.18667756871400	0.1699127417	-0.3808100193	1.872017867
-5	-30	2.14488962750205	0.3379517481	-0.3693797125	1.852219995
0	-30	2.10178086153171	0.5000000000	-0.3508904308	1.820195619
5	-30	2.05752738832070	0.6554479598	-0.3258234358	1.776778310
10	-30	2.01228368455002	0.8037618412	-0.2946122826	1.722719007
15	-30	1.96618839689051	0.9444463176	-0.2576487199	1.658696239
20	-30	1.91937713885119	1.077015782	-0.2152952240	1.585337832
25	-30	1.87199555187612	1.200975440	-0.1678998761	1.503246681
30	-30	1.82420303247407	1.315808397	-0.1158083971	1.413021593
35	-30	1.77618947628391	1.420976255	-0.05938326834	1.315290403
40	-30	1.72818138543818	1.515926779	0.0009821746865	1.210734389
45	-30	1.68044815661617	1.600111554	0.06485029807	1.100111554

-45	-25	2.36809047539027	-1.090274426	-0.04155714359	1.590274426
-40	-25	2.34237402208602	-0.9179015355	-0.08796166742	1.689789249
-35	-25	2.31270343905575	-0.7391865422	-0.1252441497	1.769741790
-30	-25	2.27966755567089	-0.5569059243	-0.1536296816	1.830614760
-25	-25	2.24379866984149	-0.3734695826	-0.1734695826	1.873161565
-20	-25	2.20556829287693	-0.1909280405	-0.1851961127	1.898309190
-15	-25	2.16538865693336	-0.01100069553	-0.1892862691	1.907080558
-10	-25	2.12361708846640	0.1648842887	-0.1862343239	1.900535641
-5	-25	2.08056212172128	0.3355449499	-0.1765324120	1.879729824
0	-25	2.03649163653892	0.5000000000	-0.1606585555	1.845688228
5	-25	1.99164249627637	0.6574265257	-0.1390709332	1.799393423
10	-25	1.94623185508941	0.8071235751	-0.1122073803	1.741784348
15	-25	1.90045943035565	0.9484811942	-0.08048458922	1.673754603
20	-25	1.85451937076773	1.080956590	-0.04430401598	1.596165113
25	-25	1.80860998929779	1.204058628	-0.004058627731	1.509858600
30	-25	1.76293269754930	1.317335847	0.03986353690	1.415667214
35	-25	1.71770467907927	1.420375905	0.08706981905	1.314433015
40	-25	1.67315935634980	1.512808031	0.1371584453	1.207017609
45	-25	1.62955109442664	1.594313523	0.1897132236	1.094313523

-45	-20	2.31878451097795	-1.087882947	0.1220578719	1.587882947
-40	-20	2.29014975917545	-0.9179945260	0.08492667538	1.689900071
-35	-20	2.25785953175319	-0.7410689068	0.05488820658	1.772430085
-30	-20	2.22247020271610	-0.5598315052	0.03186638718	1.835682014
-25	-20	2.18450089666239	-0.3767407965	0.01567164399	1.880176706
-20	-20	2.14442769105896	-0.1939702048	0.006029795170	1.906667468
-15	-20	2.10268233843721	-0.01340960221	0.002607290973	1.916070721
-10	-20	2.05965283213846	0.1633199602	0.005032545360	1.909407389
-5	-20	2.01568643477302	0.3348426766	0.01291269917	1.887756844
0	-20	1.97109445094551	0.5000000000	0.02584599338	1.852222910
5	-20	1.92615894274653	0.6578217970	0.04342994718	1.803911394
10	-20	1.88114056171036	0.8074996278	0.06526610330	1.743917049
15	-20	1.83627813179276	0.9483619841	0.09096507473	1.673309705
20	-20	1.79179706327123	1.079853441	0.1201465593	1.593134235
25	-20	1.74791803721927	1.201519992	0.1524379099	1.504414478
30	-20	1.70485225530095	1.312994536	0.1874760997	1.408147843
35	-20	1.66281239607630	1.413991652	0.2249040643	1.305315355
40	-20	1.62200953248188	1.504301413	0.2643713728	1.196879817
45	-20	1.58265607033644	1.583788758	0.3055331520	1.083788758

-45	-15	2.26918851876357	-1.076510987	0.2775751542	1.576510987
-40	-15	2.23738092612342	-0.9087893079	0.2501321377	1.678929719
-35	-15	2.20228877784804	-0.7338102894	0.2278564531	1.762063705
-30	-15	2.16445152105797	-0.5542144546	0.2107373689	1.825952997
-25	-15	2.12438442219124	-0.3724465656	0.1986757163	1.870967698
-20	-15	2.08257083874204	-0.1907223656	0.1915010002	1.897744103
-15	-15	2.03945879634401	-0.01101252095	0.1889874791	1.907124691
-10	-15	1.99545938416824	0.1649605377	0.1908688790	1.900103211
-5	-15	1.95094670849311	0.3357158311	0.1968512649	1.877776643
0	-15	1.90626010518893	0.5000000000	0.2066235799	1.841305867
5	-15	1.86170800344195	0.6567696087	0.2198659077	1.791884827
10	-15	1.81757278308107	0.8051721387	0.2362557234	1.730717202
15	-15	1.77410842523337	0.9445255871	0.2554744129	1.658992076
20	-15	1.73154784281233	1.074299227	0.2772098938	1.577874157
25	-15	1.69010728397915	1.194096737	0.3011588983	1.488495256
30	-15	1.64998208793285	1.303637758	0.3270304187	1.391941427
35	-15	1.61135934907661	1.402747980	0.3545444330	1.289257728
40	-15	1.57440913262420	1.491342478	0.3834351886	1.181435960
45	-15	1.53929264002452	1.569418314	0.4134502265	1.069418314

-45	-10	2.21936429513737	-1.057269874	0.4254113049	1.557269874
-40	-10	2.18423894965586	-0.8913663202	0.4076206291	1.658165811
-35	-10	2.14626755482975	-0.7184046111	0.3931801007	1.740062117
-30	-10	2.10598442431775	-0.5409257857	0.3820936774	1.802936348
-25	-10	2.06390702012496	-0.3613159371	0.3743067887	1.847097988
-20	-10	2.02052570982685	-0.1817651925	0.3697158541	1.873134472
-15	-10	1.97629885745515	-0.004242411945	0.3681776077	1.881858301
-10	-10	1.93164952481986	0.1695181977	0.3695181977	1.874255437
-5	-10	1.88696375336620	0.3380202334	0.3735416679	1.851437204
0	-10	1.84259076730846	0.5000000000	0.3800374711	1.814597673
5	-10	1.79884476414797	0.6544155019	0.3887868883	1.764977263
10	-10	1.75600786161162	0.8004316443	0.3995683557	1.703832522
15	-10	1.71432716253053	0.9374016916	0.4121628958	1.632405336
20	-10	1.67402190085861	1.064847979	0.4263569125	1.551907067
25	-10	1.63528467781293	1.182441961	0.4419451977	1.463501509
30	-10	1.59828072624806	1.289982871	0.4587334729	1.368290469
35	-10	1.56315772899171	1.387381716	0.4765386259	1.267312428
40	-10	1.53003932518738	1.474639330	0.4951909358	1.161529923
45	-10	1.49903501561879	1.551833660	0.5145333464	1.051833660

-45	-5	2.16929818774090	-1.030998589	0.5660549796	1.530998589
-40	-5	2.13081677240936	-0.8665968816	0.5575118731	1.628646743
-35	-5	2.08999366680745	-0.6957044294	0.5506006051	1.707642898
-30	-5	2.04736736996104	-0.5207579455	0.5453196384	1.768004624
-25	-5	2.00345714887229	-0.3440483986	0.5416396020	1.810067632
-20	-5	1.95875515827330	-0.1676811291	0.5395073988	1.834438826
-15	-5	1.91371974709171	0.006452090211	0.5388506171	1.841945875
-10	-5	1.86877134538927	0.1766890856	0.5395818967	1.833587311
-5	-5	1.82429001888516	0.3416031114	0.5416031114	1.810484721
0	-5	1.78061489589335	0.5000000000	0.5448091862	1.773839119
5	-5	1.73804533074449	0.6509085561	0.5490914439	1.724892689
10	-5	1.69684318721388	0.7935661036	0.5543404648	1.664896106
15	-5	1.65723116274234	0.9273995592	0.5604488564	1.595076870
20	-5	1.61939873068805	1.052004659	0.5673129138	1.516620336
25	-5	1.58350308459251	1.167123449	0.5748342689	1.430650853
30	-5	1.54967210764253	1.272621533	0.5829209425	1.338219751
35	-5	1.51801113829317	1.368468011	0.5914877355	1.240300858
40	-5	1.48860033348716	1.454712109	0.6004570097	1.137781585
45	-5	1.46150460149065	1.531467917	0.6097582505	1.031467917

-45	0	2.11892430446560	-0.9983057445	0.7000000000	1.498305745
-40	0	2.07715060168528	-0.8351666702	0.7000000000	1.591189676
-35	0	2.03360866939349	-0.6664300135	0.7000000000	1.665834699
-30	0	1.98884224723999	-0.4944211236	0.7000000000	1.722387910
-25	0	1.94336692472435	-0.3213023517	0.7000000000	1.761288577
-20	0	1.89766461770212	-0.1490395245	0.7000000000	1.783221438
-15	0	1.85217839339151	0.02062095686	0.7000000000	1.789066945
-10	0	1.80730782781629	0.1861642892	0.7000000000	1.779850761
-5	0	1.76340704209728	0.3463089495	0.7000000000	1.756696746
0	0	1.72078484118138	0.5000000000	0.7000000000	1.720784841
5	0	1.67970691576121	0.6463961038	0.7000000000	1.673315124
10	0	1.64039894594417	0.7848522876	0.7000000000	1.615477600
15	0	1.60304598832772	0.9148988320	0.7000000000	1.548423521
20	0	1.56779843668220	1.036218646	0.7000000000	1.473248622
25	0	1.53477348231690	1.148623301	0.7000000000	1.390977158
30	0	1.50406195968326	1.252030980	0.7000000000	1.302555866
35	0	1.47573075990219	1.346444390	0.7000000000	1.208847869
40	0	1.44982533826902	1.431929764	0.7000000000	1.110630644
45	0	1.42637722680800	1.508601010	0.7000000000	1.008601010

-45	5	2.06814279978638	-0.9596074095	0.8276991015	1.459607410
-40	5	2.02324164750186	-0.7976036992	0.8352945577	1.546423870
-35	5	1.97721751446724	-0.6311841646	0.8413377968	1.615498410
-30	5	1.93061206563658	-0.4625471396	0.8458593982	1.667180550
-25	5	1.88392510400749	-0.2936900313	0.8489121589	1.702073765
-20	5	1.83761048101352	-0.1263865270	0.8505664885	1.720982839
-15	5	1.79207551635554	0.03782411107	0.8509060373	1.724863900
-10	5	1.74767801685423	0.1976391044	0.8500232724	1.714773850
-5	5	1.70472561316235	0.3519844815	0.8480155185	1.691825118
0	5	1.66347800607046	0.5000000000	0.8449816612	1.657147970
5	5	1.62415210262062	0.6410195950	0.8410195950	1.611861346
10	5	1.58692542849076	0.7745495390	0.8362240319	1.557047809
15	5	1.55193717839109	0.9002442634	0.8306846099	1.493731926
20	5	1.51929560170248	1.017882492	0.8244850343	1.422870453
25	5	1.48908070828234	1.127343683	0.8177022497	1.345342870
30	5	1.46135101736661	1.228587201	0.8104063233	1.261950050
35	5	1.43614325333475	1.321630647	0.8026600876	1.173410171
40	5	1.41348171300012	1.406534868	0.7945197937	1.080366186
45	5	1.39337745415880	1.483386668	0.7860351853	0.9833866678

-45	10	2.01683321265192	-0.9151591113	0.9495307333	1.415159111
-40	10	1.96907107857244	-0.7543037845	0.9635772809	1.494821041
-35	10	1.92090434506157	-0.5904692223	0.9746030784	1.557351446
-30	10	1.87285569598844	-0.4256971535	0.9827146584	1.603354502
-25	10	1.82538892234408	-0.2617768411	0.9880540519	1.633635708
-20	10	1.77890837249323	-0.1002387414	0.9907882981	1.649142388
-15	10	1.73376101008688	0.05763986294	0.9911000651	1.650910507
-10	10	1.69024083220715	0.2108202967	0.9891797033	1.640019594
-5	10	1.64858985944273	0.3584826020	0.9852179301	1.617551261
0	10	1.60900342759444	0.5000000000	0.9794005131	1.584559050
5	10	1.57163752760786	0.6349116958	0.9719046219	1.542047739
10	10	1.53661430130460	0.7628960674	0.9628960674	1.490957688
15	10	1.50402453379295	0.8837440657	0.9525270998	1.432152350
20	10	1.47393750851595	0.9973355619	0.9409364002	1.366418226
25	10	1.44640131425286	1.103616583	0.9282482128	1.294459940
30	10	1.42145004490037	1.202580697	0.9145732662	1.216905464
35	10	1.39910444059198	1.294251070	0.9000091194	1.134308082
40	10	1.37937964268917	1.378668690	0.8846419561	1.047156569
45	10	1.36228291875695	1.455878291	0.8685471330	0.9558782911

-45	15	1.96486667562209	-0.8650844239	1.065773269	1.365084424
-40	15	1.91461328227948	-0.7055554284	1.084969307	1.436725013
-35	15	1.86474516259232	-0.5447048506	1.099778360	1.491993150
-30	15	1.81573831509873	-0.3843707327	1.110437885	1.531775042
-25	15	1.76799306486149	-0.2260830297	1.117221030	1.557090082
-20	15	1.72183770749079	-0.07107868430	1.120419193	1.569025790
-15	15	1.67753556749576	0.07967197922	1.120328021	1.568685529
-10	15	1.63529511596095	0.2254324489	1.117237074	1.557149961
-5	15	1.59527671983964	0.3656658796	1.111421522	1.535446023
0	15	1.55759969324908	0.5000000000	1.103136465	1.504525771
5	15	1.52235239028976	0.6281933515	1.092614353	1.465256713
10	15	1.48959941380448	0.7501051089	1.080063571	1.418416557
15	15	1.45938617682230	0.8656678971	1.065667897	1.364691171
20	15	1.43174667361899	0.9748647350	1.049587989	1.304680137
25	15	1.40670587282926	1.077708862	1.031962430	1.238900653
30	15	1.38428389696404	1.174227202	1.012909934	1.167795770
35	15	1.36449969365947	1.264447324	0.9925319021	1.091743921
40	15	1.34737237804815	1.348386512	0.9709147666	1.011067674
45	15	1.33292145936791	1.426042639	0.9481323774	0.9260426394

-45	20	1.91212026534783	-0.8094028992	1.176583680	1.309402899
-40	20	1.85985387964487	-0.6515677567	1.199507294	1.372385011
-35	20	1.80882431806465	-0.4942494595	1.216814214	1.419935384
-30	20	1.75942513675467	-0.3390187588	1.228929959	1.453223119
-25	20	1.71195934659619	-0.1870881140	1.236297480	1.473465215
-20	20	1.66665120849081	-0.03935429269	1.239354293	1.481863740
-15	20	1.62365836871197	0.1035531464	1.238515727	1.479559800
-10	20	1.58308615461890	0.2412216752	1.234164466	1.467604809
-5	20	1.54500247018930	0.3734086472	1.226645196	1.446945783
0	20	1.50944454203411	0.5000000000	1.216260439	1.418413898
5	20	1.47643171025139	0.6209729376	1.203271472	1.382727005
10	20	1.44597274627892	0.7363651554	1.187899700	1.340493409
15	20	1.41807229286697	0.8462491307	1.170329379	1.292219348
20	20	1.39273550311897	0.9507109036	1.150710904	1.238318030
25	20	1.36997272635930	1.049833136	1.129164934	1.179120966
30	20	1.34980216166380	1.143681456	1.105786405	1.114888986
35	20	1.33225221212247	1.232293915	1.080648841	1.045824095
40	20	1.31735939658278	1.315670855	1.053807702	0.9720786724
45	20	1.30517143969089	1.393769758	1.025305588	0.8937697582

-45	25	1.85848637065523	-0.7480533906	1.281976854	1.248053391
-40	25	1.80480101982031	-0.5924942444	1.307125082	1.301983941
-35	25	1.75324449133968	-0.4394187522	1.325611886	1.341629018
-30	25	1.70408772930092	-0.2900539761	1.338101754	1.368413627
-25	25	1.65750054082482	-0.1452344967	1.345234497	1.383709844
-20	25	1.61357590461857	-0.005477359974	1.347602309	1.388787633
-15	25	1.57234763425972	0.1289484882	1.345734962	1.384783094
-10	25	1.53380823840211	0.2579586068	1.340093506	1.372684953
-5	25	1.49792741057178	0.3815984754	1.331070763	1.353335619
0	25	1.46466036202371	0.5000000000	1.318992216	1.327433091
5	25	1.43396067906779	0.6133453660	1.304121838	1.295543462
10	25	1.40578620528616	0.7218389778	1.286666963	1.258111361
15	25	1.38010672190729	0.8256854110	1.266785068	1.215474501
20	25	1.35690660603772	0.9250717719	1.244589101	1.167875095
25	25	1.33618999144769	1.020154205	1.220154205	1.115474293
30	25	1.31798109840341	1.111046127	1.193522743	1.058362938
35	25	1.30232604328554	1.197808841	1.164710231	0.9965743054
40	25	1.28929177091867	1.280442732	1.133710622	0.9300954299
45	25	1.27896712931842	1.358881339	1.100502946	0.8588813388

-45	30	1.80388978586745	-0.6809230699	1.381806252	1.180923070
-40	30	1.74950228927265	-0.5284604618	1.407641742	1.225671450
-35	30	1.69814355473077	-0.3805084777	1.426015901	1.257496427
-30	30	1.64991784326703	-0.2378656910	1.437865691	1.278020866
-25	30	1.60483101662561	-0.1009347224	1.444036298	1.288708671
-20	30	1.56282212285259	0.03017413243	1.445264490	1.290835962
-15	30	1.52379070493462	0.1555553025	1.442175175	1.285485112
-10	30	1.48761398473177	0.2754390365	1.435283575	1.273548509
-5	30	1.45416576674919	0.3901365285	1.425004844	1.255745225
0	30	1.42332485874968	0.5000000000	1.411662429	1.232635486
5	30	1.39498577314834	0.6053923722	1.395499417	1.204640327
10	30	1.36906374280831	0.7066653556	1.376687698	1.172057474
15	30	1.34550049040643	0.8041431530	1.355337415	1.135077700
20	30	1.32426595289796	0.8981095424	1.331503980	1.093796978
25	30	1.30536312519293	0.9887978978	1.305196147	1.048230475
30	30	1.28882686747482	1.076380897	1.276380897	0.9983209988
35	30	1.27472821031319	1.160962374	1.244990998	0.9439520975
40	30	1.26317289138804	1.242567405	1.210930377	0.8849573728
45	30	1.25430047629806	1.321132411	1.174081019	0.8211324110

-45	35	1.74830930687428	-0.6078813592	1.475746879	1.107881359
-40	35	1.69405434348832	-0.4595885780	1.500752534	1.143593135
-35	35	1.64369722668029	-0.3178097405	1.517809741	1.167953351
-30	35	1.59712892892556	-0.1828286071	1.528131142	1.182693840
-25	35	1.55416555891748	-0.05457436243	1.532748814	1.189288558
-20	35	1.51458220775137	0.06725614212	1.532514538	1.188953978
-15	35	1.47814239657834	0.1831045043	1.528114513	1.182670091
-10	35	1.44461476022484	0.2934849482	1.520086611	1.171205059
-5	35	1.41378713856343	0.3989379985	1.508840510	1.155143962
0	35	1.38547317608482	0.5000000000	1.494674767	1.134913184
5	35	1.35951896641613	0.5971827399	1.477793194	1.110803800
10	35	1.33580585870496	0.6909602641	1.458317393	1.082989474
15	35	1.31425385555419	0.7817598142	1.436297595	1.051541942
20	35	1.29482234304752	0.8699544423	1.411719984	1.016441476
25	35	1.27751511105702	0.9558569222	1.384514714	0.9775883243
30	35	1.26238069341004	1.039712001	1.354560034	0.9348086076
35	35	1.24951548011416	1.121687446	1.321687446	0.8878616866
40	35	1.23906658798496	1.201863048	1.285687061	0.8364478091
45	35	1.23123029680281	1.280214971	1.246312404	0.7802149707

-45	40	1.69180190430510	-0.5288192548	1.563281857	1.028819255
-40	40	1.63863159214477	-0.3860346527	1.586034653	1.055934981
-35	40	1.59013791629275	-0.2516328922	1.600725640	1.073443017
-30	40	1.54596572234559	-0.1253149156	1.608809683	1.083077205
-25	40	1.50572720319283	-0.006518304303	1.611456878	1.086232009
-20	40	1.46903715474108	0.1054556855	1.609585339	1.084001595
-15	40	1.43553362876291	0.2113587421	1.603898126	1.077223840
-10	40	1.40489266242974	0.3119429045	1.594920555	1.066524787
-5	40	1.37683186217661	0.4079309889	1.583029528	1.052353613
0	40	1.35111486333164	0.5000000000	1.568479893	1.035014033
5	40	1.32755166356733	0.5887736348	1.551423730	1.014687289
10	40	1.30599856277509	0.6748192606	1.531924737	0.9914492945
15	40	1.28636021626701	0.7586471145	1.509969593	0.9652841727
20	40	1.26858895041403	0.8407092572	1.485473605	0.9360909907
25	40	1.25268850938641	0.9213974870	1.458285801	0.9036898272
30	40	1.23871810704661	1.001038864	1.428191443	0.8678247682
35	40	1.22679492882018	1.079886443	1.394911828	0.8281636680
40	40	1.21710201054598	1.158106778	1.358106778	0.7843011168
45	40	1.20989268118897	1.235760424	1.317376301	0.7357604242

-45	45	1.63452743105875	-0.4436948523	1.643694852	0.9436948523
-40	45	1.58349281463559	-0.3080145876	1.662954288	0.9629542877
-35	45	1.53775585635206	-0.1823216588	1.674456317	0.9744563170
-30	45	1.49670061490799	-0.06569965917	1.679820552	0.9798205515
-25	45	1.45974194895824	0.04288821255	1.680279392	0.9802793916
-20	45	1.42635230815676	0.1444908595	1.676753336	0.9767533358
-15	45	1.39606884041536	0.2401123090	1.669914067	0.9699140671
-10	45	1.36849745433889	0.3306839796	1.660238868	0.9602388681
-5	45	1.34330761285967	0.4170564164	1.648049499	0.9480494989
0	45	1.32023027627915	0.5000000000	1.633543781	0.9335437811
5	45	1.29905286527984	0.5802110395	1.616816376	0.9168163764
10	45	1.27961604087023	0.6583192537	1.597873105	0.8978731052
15	45	1.26181361338450	0.7348951692	1.576640706	0.8766407059
20	45	1.24559103864207	0.8104555564	1.552969631	0.8529696311
25	45	1.23094908806270	0.8854663068	1.526635162	0.8266351625
30	45	1.21795007572609	0.9603418585	1.497335488	0.7973354878
35	45	1.20672373581423	1.035438534	1.464685475	0.7646854749
40	45	1.19747801724391	1.111041425	1.428210814	0.7282108137
45	45	1.19051245096459	1.187342684	1.387342684	0.6873426840


### +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	1.86204620458546	1.575052877	-0.3750528775	1.075052877
45	-40	1.79623031426763	1.592324302	-0.2165689185	1.092324302
45	-35	1.73584371763019	1.599982074	-0.07021574004	1.099982074
45	-30	1.68044827107762	1.600111629	0.06485025480	1.100111629
45	-25	1.62955113194290	1.594313549	0.1897132118	1.094313549
45	-20	1.58265614323234	1.583788808	0.3055331338	1.083788808
45	-15	1.53929266462845	1.569418331	0.4134502219	1.069418331
45	-10	1.49903505047739	1.551833685	0.5145333421	1.051833685
45	-5	1.46150462246596	1.531467932	0.6097582492	1.031467932
45	0	1.42637724207765	1.508601020	0.7000000000	1.008601020
45	5	1.39337746356525	1.483386674	0.7860351859	0.9833866744
45	10	1.36228293110194	1.455878300	0.8685471345	0.9558782997
45	15	1.33292147944376	1.426042653	0.9481323811	0.9260426534
45	20	1.30517146686489	1.393769777	1.025305595	0.8937697768
45	25	1.27896715311996	1.358881355	1.100502953	0.8588813548
45	30	1.25430050653972	1.321132431	1.174081030	0.8211324308
45	35	1.23123028536946	1.280214963	1.246312399	0.7802149635
45	40	1.20989270905743	1.235760441	1.317376315	0.7357604411
45	45	1.19051246810381	1.187342694	1.387342694	0.6873426939

50	-45	1.87160444637122	1.638160849	-0.4381608491	0.9550303487
50	-40	1.80248586162048	1.661522750	-0.2746333112	0.9746333112
50	-35	1.73838788939093	1.673521065	-0.1217082957	0.9847010925
50	-30	1.67910189548884	1.676350136	0.02083393251	0.9870749650
50	-25	1.62431741991630	1.671783023	0.1535886026	0.9832427025
50	-20	1.57367460205507	1.661213502	0.2773528498	0.9743738210
50	-15	1.52680204322170	1.645711620	0.3930074967	0.9613661977
50	-10	1.48334491879140	1.626081847	0.5014413880	0.9448948621
50	-5	1.44297423834424	1.602908201	0.6035080355	0.9254498650
50	0	1.40540277261583	1.576600984	0.7000000000	0.9033754889
50	5	1.37038253236504	1.547424198	0.7916377432	0.8788932580
50	10	1.33771406342876	1.515526129	0.8790646561	0.8521275999
50	15	1.30724474532896	1.480955915	0.9628463451	0.8231197462
50	20	1.27887092321269	1.443678052	1.043470722	0.7918399054
50	25	1.25254407006303	1.403585629	1.121348898	0.7581983678
50	30	1.22827086180790	1.360505606	1.196813144	0.7220499370
50	35	1.20612024584984	1.314206958	1.270113850	0.6832007580
50	40	1.18623021767955	1.264407319	1.341413899	0.6414138993
50	45	1.16880975187220	1.210777057	1.410777057	0.5964127661

55	-45	1.87973393681533	1.691163475	-0.4911634747	0.8340616442
55	-40	1.80794966690995	1.720479636	-0.3241040122	0.8545890411
55	-35	1.74073461481559	1.736904701	-0.1660899955	0.8660899955
55	-30	1.67808908444204	1.742645843	-0.01744191176	0.8701099863
55	-25	1.61988075194450	1.739575561	0.1219764233	0.8679601517
55	-20	1.56589336754857	1.729233474	0.2525956046	0.8607185445
55	-15	1.51586926559119	1.712855572	0.3750163290	0.8492506142
55	-10	1.46953778260189	1.691411117	0.4899220750	0.8342350451
55	-5	1.42663264639427	1.665639468	0.5980197608	0.8161895424
55	0	1.38691175232964	1.636091597	0.7000000000	0.7954999004
55	5	1.35015963010941	1.603156693	0.7965137048	0.7724386326
55	10	1.31620085055022	1.567094936	0.8881576281	0.7471879178
55	15	1.28489922412414	1.528055136	0.9754665433	0.7198519556
55	20	1.25616185965691	1.486092820	1.058908435	0.6904696258
55	25	1.22994561212976	1.441186887	1.138882653	0.6590261529
55	30	1.20625479106923	1.393246679	1.215716210	0.6254580579
55	35	1.18514796219664	1.342124396	1.289661850	0.5896618499
55	40	1.16674065782400	1.287623261	1.360894388	0.5514997449
55	45	1.15120321094084	1.229502825	1.429502825	0.5108033771

60	-45	1.88653103233570	1.735024465	-0.5350244652	0.7130417075
60	-40	1.81262441139956	1.769893732	-0.3655673621	0.7331734879
60	-35	1.74283560115759	1.790591444	-0.2036818576	0.7451233174
60	-30	1.67734325451439	1.799264498	-0.05013070774	0.7501307077
60	-25	1.61617907789119	1.797821372	0.09481595543	0.7492975183
60	-20	1.55926756767000	1.787900025	0.2312427262	0.7435694261
60	-15	1.50646976779536	1.770872995	0.3594706072	0.7337388660
60	-10	1.45760632712707	1.747858910	0.4799688061	0.7204516775
60	-5	1.41248141400139	1.719748692	0.5932858171	0.7042222355
60	0	1.37090317857343	1.687236979	0.7000000000	0.6854515893
60	5	1.33269153363513	1.650846120	0.8006859890	0.6644413171
60	10	1.29769381830615	1.610957577	0.8958917953	0.6414116562
60	15	1.26578564159065	1.567829454	0.9861240399	0.6165116228
60	20	1.23687733402329	1.521617061	1.071838201	0.5898308850
60	25	1.21091973229309	1.472390702	1.153433231	0.5614100335
60	30	1.18790195021178	1.420144894	1.231245902	0.5312459023
60	35	1.16785769967959	1.364813155	1.305548690	0.4993001078
60	40	1.15086610053391	1.306277152	1.376546861	0.4655043305
60	45	1.13704703166658	1.244372013	1.444372013	0.4297633821

65	-45	1.89209367515055	1.770622138	-0.5706221385	0.5925008338
65	-40	1.81652397874576	1.810440886	-0.3995904644	0.6110686209
65	-35	1.74465291025139	1.835054513	-0.2348152343	0.6225461437
65	-30	1.67680401848755	1.846504308	-0.07740462489	0.6278852707
65	-25	1.61315111865101	1.846686186	0.07202991820	0.6279700818
65	-20	1.55375026083597	1.837296337	0.2132639390	0.6235915231
65	-15	1.49857579490955	1.819811460	0.3463575853	0.6154381909
65	-10	1.44754038105020	1.795479350	0.4715720376	0.6040919419
65	-5	1.40052025764390	1.765330974	0.5892978841	0.5900335235
65	0	1.35737551522833	1.730199999	0.7000000000	0.5736516808
65	5	1.31796041033310	1.690740456	0.8041762911	0.5552513935
65	10	1.28214310667125	1.647456707	0.9023275766	0.5350678498
65	15	1.24980591233398	1.600717208	0.9949362870	0.5132728637
65	20	1.22085673562567	1.550778418	1.082452067	0.4899860231
65	25	1.19523343505494	1.497801345	1.165282409	0.4652824086
65	30	1.17290098436717	1.441860952	1.243783674	0.4391969747
65	35	1.15386029844068	1.382964394	1.318258325	0.4117330587
65	40	1.13814641976004	1.321059133	1.388950416	0.3828661615
65	45	1.12582603811604	1.256040521	1.456040521	0.3525474849

70	-45	1.89651173008154	1.798714314	-0.5987143135	0.4726933529
70	-40	1.81967033723516	1.842733600	-0.4266872688	0.4887150631
70	-35	1.74616239883081	1.870745490	-0.2598063249	0.4989105570
70	-30	1.67642446125275	1.884667488	-0.09943814675	0.5039777499
70	-25	1.61074651257467	1.886352405	0.05353325669	0.5045910096
70	-20	1.54929997882416	1.877523653	0.1986223932	0.5013776068
70	-15	1.49216061170394	1.859732379	0.3356608071	0.4949021125
70	-10	1.43932736700599	1.834332790	0.4647211279	0.4856574181
70	-5	1.39074431694866	1.802477934	0.5860479463	0.4740631987
70	0	1.34632070772989	1.765127634	0.7000000000	0.4604688014
70	5	1.30594301384429	1.723058716	0.8070037725	0.4451569673
70	10	1.26949693230620	1.676890972	0.9075176316	0.4283532826
70	15	1.23686822577097	1.627097018	1.002004736	0.4102297655
70	20	1.20795782647602	1.574027303	1.090913969	0.3909139691
70	25	1.18268510410685	1.517924500	1.174665990	0.3704942187
70	30	1.16098801362822	1.458935158	1.253641472	0.3490238542
70	35	1.14283212191111	1.397128456	1.328176108	0.3265280543
70	40	1.12820907600635	1.332504769	1.398554445	0.3030069560
70	45	1.11713580403194	1.265004632	1.465004632	0.2784389153

75	-45	1.89986503667495	1.819924757	-0.6199247568	0.3536727727
75	-40	1.82208867519452	1.867294586	-0.4472963829	0.3663654802
75	-35	1.74734903963643	1.898063848	-0.2789348454	0.3746100791
75	-30	1.67616517051344	1.914029738	-0.1163904499	0.3788881264
75	-25	1.60891985459670	1.916992633	0.03924548362	0.3796820317
75	-20	1.54587803241088	1.908682415	0.1872815312	0.3774553156
75	-15	1.48720026289136	1.890700488	0.3273629274	0.3726370726
75	-10	1.43295639367644	1.864480313	0.4594053061	0.3656113980
75	-5	1.38315017917175	1.831275267	0.5835285061	0.3567141327
75	0	1.33773380982271	1.792151636	0.7000000000	0.3462309873
75	5	1.29662142474256	1.747991765	0.8091851316	0.3343983856
75	10	1.25971273945847	1.699515380	0.9115069253	0.3214091774
75	15	1.22689435260072	1.647285014	1.007414093	0.3074140930
75	20	1.19805771601113	1.591730914	1.097357557	0.2925284168
75	25	1.17310403237020	1.533165056	1.181772778	0.2768357424
75	30	1.15194495917831	1.471792313	1.261064554	0.2603909656
75	35	1.13451344154452	1.407730620	1.335599823	0.2432256867
75	40	1.12076313093375	1.341020189	1.405699730	0.2253506803
75	45	1.11066944059261	1.271633807	1.471633807	0.2067586555

80	-45	1.90221419181706	1.834733942	-0.6347339425	0.2353496061
80	-40	1.82379839747296	1.884537231	-0.4617646803	0.2441312697
80	-35	1.74820099216017	1.917334159	-0.2924280620	0.2499142528
80	-30	1.67599848452144	1.934824755	-0.1283964588	0.2529983170
80	-25	1.60763883356968	1.938759801	0.02909528632	0.2536921718
80	-20	1.54345532139527	1.930864925	0.1792077581	0.2523000920
80	-15	1.48367208258535	1.912772473	0.3214487568	0.2491099046
80	-10	1.42841399181244	1.885972277	0.4556156930	0.2443843070
80	-5	1.37772997223930	1.851790951	0.5817336163	0.2383572170
80	0	1.33160549834881	1.811375419	0.7000000000	0.2312308682
80	5	1.28997592228653	1.765689079	0.8107334459	0.2231751337
80	10	1.25275114417895	1.715528807	0.9143305246	0.2143305246
80	15	1.21981761051952	1.661526703	1.011230142	0.2048084965
80	20	1.19105827892415	1.604174181	1.101886535	0.1946956995
80	25	1.16635706785527	1.543833744	1.186747669	0.1840560525
80	30	1.14560503423821	1.480754146	1.266238670	0.1729334175
80	35	1.12870906588837	1.415088094	1.340751582	0.1613547207
80	40	1.11559348903224	1.346903212	1.410636173	0.1493318863
80	45	1.10620246974264	1.276193338	1.476193338	0.1368638278

85	-45	1.90360655624760	1.843484712	-0.6434847123	0.1175396819
85	-40	1.82481842966074	1.894763093	-0.4703451971	0.1220259590
85	-35	1.74871571035700	1.928799527	-0.3004561994	0.1250037611
85	-30	1.67590711946825	1.947230028	-0.1355586463	0.1266162210
85	-25	1.60688097999042	1.951772129	0.02302753834	0.1270136033
85	-20	1.54201170712561	1.944144835	0.1743742660	0.1263463016
85	-15	1.48156266876545	1.925996806	0.3179053075	0.1247585547
85	-10	1.42569333071781	1.898851286	0.4533447762	0.1223836295
85	-5	1.37448106947946	1.864079697	0.5806584904	0.1193415096
85	0	1.32793222396352	1.822879041	0.7000000000	0.1157369193
85	5	1.28599544125315	1.776263683	0.8116586039	0.1116586039
85	10	1.24858678975726	1.725079194	0.9160145155	0.1071805414
85	15	1.21559215331503	1.670001489	1.013500954	0.1023618666
85	20	1.18688813840770	1.611559897	1.104574716	0.09724888985
85	25	1.16234793370974	1.550148925	1.189692486	0.09187612599
85	30	1.14184871744742	1.486043756	1.269292628	0.08626765042
85	35	1.12528074401516	1.419417939	1.343783372	0.08043864673
85	40	1.11254993086632	1.350355059	1.413532616	0.07439642761
85	45	1.10358118160415	1.278860758	1.478860758	0.06814148683

90	-45	1.90406658027803	1.846378391	-0.6463783907	0.000000000
90	-40	1.82515618116165	1.898150750	-0.4731877790	0.000000000
90	-35	1.74888649905000	1.932603951	-0.3031200857	0.000000000
90	-30	1.67587686819136	1.951351941	-0.1379384341	0.000000000
90	-25	1.60662894160608	1.956100321	0.02100926944	0.000000000
90	-20	1.54153096972089	1.948565277	0.1727653568	0.000000000
90	-15	1.48085956301778	1.930400497	0.3167253420	0.000000000
90	-10	1.42478586144138	1.903140163	0.4525885316	0.000000000
90	-5	1.37339740469458	1.868171213	0.5803005291	0.000000000
90	0	1.32670724047072	1.826707240	0.7000000000	0.000000000
90	5	1.28466861531265	1.779780063	0.8119662474	0.000000000
90	10	1.24719968305832	1.728251917	0.9165739521	0.000000000
90	15	1.21418608199906	1.672813695	1.014254482	0.000000000
90	20	1.18550229069794	1.614007754	1.105465663	0.000000000
90	25	1.16101750001053	1.552239201	1.190667198	0.000000000
90	30	1.14060410238266	1.487792128	1.270302051	0.000000000
90	35	1.12414665298861	1.420847029	1.344784031	0.000000000
90	40	1.11154480362362	1.351492720	1.414487227	0.000000000
90	45	1.10271695841989	1.279738639	1.479738639	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	1.19051249110985	1.187342707	1.387342707	0.6873427072
40	45	1.19747807359252	1.111041454	1.428210848	0.7282108480
35	45	1.20672379987097	1.035438562	1.464685515	0.7646855155
30	45	1.21795009510856	0.9603418658	1.497335501	0.7973355005
25	45	1.23094912209922	0.8854663174	1.526635185	0.8266351854
20	45	1.24559106599839	0.8104555633	1.552969650	0.8529696498
15	45	1.26181363236294	0.7348951727	1.576640719	0.8766407191
10	45	1.27961605504889	0.6583192554	1.597873115	0.8978731151
5	45	1.29905287460257	0.5802110400	1.616816383	0.9168163829
0	45	1.32023028673697	0.5000000000	1.633543788	0.9335437885
-5	45	1.34330762794300	0.4170564155	1.648049510	0.9480495095
-10	45	1.36849748074465	0.3306839764	1.660238887	0.9602388867
-15	45	1.39606887345687	0.2401123028	1.669914090	0.9699140901
-20	45	1.42635236081586	0.1444908464	1.676753372	0.9767533719
-25	45	1.45974201630541	0.04288819146	1.680279437	0.9802794369
-30	45	1.49670076830630	-0.06569971715	1.679820652	0.9798206519
-35	45	1.53775596996706	-0.1823217093	1.674456389	0.9744563890
-40	45	1.58349312569243	-0.3080147463	1.662954477	0.9629544768
-45	45	1.63452771399507	-0.4436950157	1.643695016	0.9436950157

45	50	1.16880979410693	1.210777082	1.410777082	0.5964127876
40	50	1.17341613379670	1.134485116	1.456149917	0.6344851165
35	50	1.18072416811091	1.058109528	1.497063010	0.6688152773
30	50	1.19045292044866	0.9815164766	1.534011002	0.6998183243
25	50	1.20239774014286	0.9044799504	1.567410053	0.7278434554
20	50	1.21642349248489	0.8266990024	1.597598132	0.7531742615
15	50	1.23245872776914	0.7478091982	1.624836518	0.7760299812
10	50	1.25049234590919	0.6673892710	1.649311729	0.7965671219
5	50	1.27056901596455	0.5849631942	1.671133753	0.8148779743
0	50	1.29278588750492	0.5000000000	1.690331445	0.8309867505
-5	50	1.31729382917486	0.4119123086	1.706846920	0.8448448794
-10	50	1.34429657462234	0.3200542176	1.720523244	0.8563206780
-15	50	1.37405103895412	0.2237209827	1.731087330	0.8651849980
-20	50	1.40686964316620	0.1221522260	1.738128227	0.8710930125
-25	50	1.44311742068649	0.01454328029	1.741065295	0.8735575051
-30	50	1.48321169900327	-0.09993205867	1.739112807	0.8719191729
-35	50	1.52760829505642	-0.2220761352	1.731231593	0.8653060495
-40	50	1.57678780594048	-0.3525947155	1.716082815	0.8525947155
-45	50	1.63121833967845	-0.4919771531	1.691977153	0.8323676633

45	55	1.15120323766831	1.229502842	1.429502842	0.5108033889
40	55	1.15361257767188	1.153458053	1.478760982	0.5452943103
35	55	1.15904424180895	1.076674131	1.523576011	0.5766741315
30	55	1.16725549942444	0.9990426461	1.564367218	0.6052364419
25	55	1.17806390259934	0.9203696536	1.601485631	0.6312270347
20	55	1.19134756141510	0.8403898033	1.635213298	0.6548434014
15	55	1.20704070984480	0.7587746383	1.665760098	0.6762325007
10	55	1.22513321143368	0.6751390444	1.693262878	0.6954901548
5	55	1.24566777769856	0.5890442948	1.717780947	0.7126578913
0	55	1.26873645961846	0.5000000000	1.739288065	0.7277173372
-5	55	1.29448254273390	0.4074662705	1.757665368	0.7405852634
-10	55	1.32309761450488	0.3108564443	1.772686409	0.7511031096
-15	55	1.35482122752558	0.2095430417	1.784000126	0.7590250596
-20	55	1.38993893509506	0.1028690064	1.791108437	0.7640023528
-25	55	1.42877569640273	-0.009831379511	1.793336922	0.7655627543
-30	55	1.47168987736428	-0.1291990151	1.789804662	0.7630894396
-35	55	1.51905540063903	-0.2557950959	1.779387260	0.7557950959
-40	55	1.57123853184152	-0.3900201781	1.760684745	0.7426994539
-45	55	1.62856296778477	-0.5319996280	1.731999628	0.7226139189

45	60	1.13704705619508	1.244372029	1.444372029	0.4297633914
40	60	1.13749255776819	1.168685105	1.496907876	0.4600949766
35	60	1.14119521088827	1.091723859	1.545069250	0.4879009591
30	60	1.14795993862926	1.013383292	1.589205945	0.5133832916
25	60	1.15763842676930	0.9334818554	1.629604839	0.5367076039
20	60	1.17013379929676	0.8517733205	1.666489255	0.5580028314
15	60	1.18539720389740	0.7679526657	1.700012962	0.5773577530
10	60	1.20342935045930	0.6816622169	1.730257628	0.5948195189
5	60	1.22427733445260	0.5924952032	1.757225010	0.6103891441
0	60	1.24803230059329	0.5000000000	1.780827677	0.6240161503
-5	60	1.27483165653863	0.4036853744	1.800881208	0.6355940618
-10	60	1.30485407743968	0.3030273365	1.817087485	0.6449507604
-15	60	1.33831804152334	0.1974804010	1.829018514	0.6518391428
-20	60	1.37547605472717	0.08649533988	1.836094717	0.6559245904
-25	60	1.41660678497703	-0.03045348466	1.837561169	0.6567712471
-30	60	1.46200179611600	-0.1538270799	1.832461722	0.6538270799
-35	60	1.51194860680062	-0.2839640898	1.819616752	0.6464110332
-40	60	1.56670093563396	-0.4209990623	1.797603941	0.6337019309
-45	60	1.62644955250344	-0.5647611698	1.764761170	0.6147401480

45	65	1.12582606549647	1.256040539	1.456040539	0.3525474934
40	65	1.12458283303193	1.180740014	1.511274358	0.3783034460
35	65	1.12676206469718	1.103738622	1.562228109	0.4020635704
30	65	1.13221767812528	1.024921964	1.609191512	0.4239629650
25	65	1.14084162256874	0.9441086757	1.652394129	0.4441086757
20	65	1.15256827390455	0.8610596605	1.692003264	0.4625787190
15	65	1.16737284110644	0.7754832634	1.728117536	0.4794190804
10	65	1.18527234522562	0.6870409629	1.760762012	0.4946414498
5	65	1.20632414642477	0.5953521627	1.789880207	0.5082194868
0	65	1.23062152568324	0.5000000000	1.815321872	0.5200831300
-5	65	1.25829791550547	0.4005396453	1.836837057	0.5301158256
-10	65	1.28951909193061	0.2965084619	1.854057860	0.5381460183
-15	65	1.32448149190000	0.1874413462	1.866484776	0.5439407843
-20	65	1.36340143927166	0.07289362209	1.873465129	0.5471957762
-25	65	1.40650831210795	-0.04752783517	1.874177232	0.5475278352
-30	65	1.45402613919001	-0.1741197140	1.867609595	0.5444652959
-35	65	1.50615797383807	-0.3070255183	1.852551885	0.5374437706
-40	65	1.56305442010430	-0.4461585731	1.827587879	0.5258028630
-45	65	1.62478944802797	-0.5911158734	1.791115873	0.5087956877

45	70	1.11713580395233	1.265004632	1.465004632	0.2784389152
40	70	1.11450126637357	1.190066966	1.522389785	0.2993254028
35	70	1.11540128731436	1.113098307	1.575595125	0.3186905628
30	70	1.11973494505965	1.033969081	1.624861578	0.3366220853
25	70	1.12743361729166	0.9524910240	1.670370132	0.3531858444
20	70	1.13846426808779	0.8684247711	1.712238739	0.3684247711
15	70	1.15282931369018	0.7814850482	1.750516501	0.3823567371
10	70	1.17056421831551	0.6913456489	1.785175100	0.3949714353
5	70	1.19173915902637	0.5976463632	1.816103038	0.4062282843
0	70	1.21645330226933	0.5000000000	1.843092192	0.4160515328
-5	70	1.24483734967964	0.3980029824	1.865831246	0.4243278715
-10	70	1.27704513098574	0.2912485061	1.883888552	0.4309001936
-15	70	1.31325107076864	0.1793449502	1.896700937	0.4355635205
-20	70	1.35363654809149	0.06194212728	1.903554114	0.4380578727
-25	70	1.39838347541749	-0.06123567811	1.903573796	0.4380650364
-30	70	1.44765257771005	-0.1903434784	1.895709979	0.4352028413
-35	70	1.50157012646673	-0.3253622376	1.878739434	0.4290260681
-40	70	1.56019817494396	-0.4660296069	1.851269255	0.4190277403
-45	70	1.62351317386380	-0.6117673377	1.811767338	0.4046502184

45	75	1.11066944566136	1.271633811	1.471633811	0.2067586564
40	75	1.10695028749695	1.197002335	1.530655037	0.2225733462
35	75	1.10683820443932	1.120095048	1.585587507	0.2372924573
30	75	1.11027075818747	1.040766781	1.636635540	0.2509707365
25	75	1.11721343499010	0.9588195122	1.683941619	0.2636463623
20	75	1.12766289223654	0.8740098373	1.727583583	0.2753401911
15	75	1.14164652001019	0.7860541568	1.767568647	0.2860541568
10	75	1.15921873812081	0.6946338902	1.803823643	0.2957686538
5	75	1.18046314831935	0.5994037440	1.836189993	0.3044411912
0	75	1.20548468255100	0.5000000000	1.864408788	0.3120023944
-5	75	1.23441293174456	0.3960532844	1.888116396	0.3183548287
-10	75	1.26739154961563	0.2872037954	1.906827246	0.3233683860
-15	75	1.30457575624965	0.1731218365	1.919925914	0.3268781635
-20	75	1.34611637112334	0.05353610692	1.926649465	0.3286797335
-25	75	1.39215294224647	-0.07173223480	1.926083734	0.3285281464
-30	75	1.44279196228977	-0.2027240512	1.917153760	0.3261353672
-35	75	1.49809603081709	-0.3392933369	1.898635106	0.3211733087
-40	75	1.55805537942960	-0.4810451739	1.869164110	0.3132765792
-45	75	1.62257016364720	-0.6272750892	1.827275089	0.3020524498

45	80	1.10620247262382	1.276193340	1.476193340	0.1368638281
40	80	1.10170893854226	1.201791675	1.536362750	0.1474733185
35	80	1.10086658766527	1.124945815	1.592515120	0.1573744964
30	80	1.10364154158544	1.045497358	1.644829139	0.1665988694
25	80	1.11002561292209	0.9632392553	1.693419789	0.1751667119
20	80	1.12003895466573	0.8779232156	1.738335501	0.1830865639
15	80	1.13372902043766	0.7892650844	1.779551992	0.1903541432
10	80	1.15116607755813	0.6969505519	1.816962085	0.1969505519
5	80	1.17244491644391	0.6006444101	1.850370872	0.2028414225
0	80	1.19767667490684	0.5000000000	1.879481275	0.2079743720
-5	80	1.22699002154124	0.3946733572	1.903889036	0.2122781189
-10	80	1.26052139219139	0.2843400802	1.923068182	0.2156599198
-15	80	1.29841054321898	0.1687172785	1.936363948	0.2180043221
-20	80	1.34078425928650	0.04759296841	1.942978104	0.2191705761
-25	80	1.38774929722435	-0.07913974549	1.941969192	0.2189926778
-30	80	1.43937062961799	-0.2114383118	1.932247303	0.2172784463
-35	80	1.49566294191934	-0.3490659149	1.912591794	0.2138126499
-40	80	1.55656457262407	-0.4915359864	1.881666574	0.2083596992
-45	80	1.62192079517394	-0.6380593977	1.838059398	0.2006705775

45	85	1.10358118277188	1.278860759	1.478860759	0.06814148690
40	85	1.09862361423765	1.204600989	1.539710760	0.07346517214
35	85	1.09734069170875	1.127798613	1.596589338	0.07844140292
30	85	1.09971599996567	1.048286478	1.649660037	0.08308448746
25	85	1.10575784364523	0.9658513099	1.699021358	0.08740304345
20	85	1.11550153343201	0.8802411548	1.744703987	0.09139975558
15	85	1.12900732804605	0.7911707463	1.786664019	0.09507078270
10	85	1.14635598379894	0.6983278491	1.824773125	0.09840489745
5	85	1.16764997257642	0.6013830699	1.858813792	0.1013830699
0	85	1.19300424401308	0.5000000000	1.888464503	0.1039771710
-5	85	1.22254728049826	0.3938503838	1.913295665	0.1061496162
-10	85	1.25641114206334	0.2826318152	1.932756235	0.1078521954
-15	85	1.29472576024978	0.1660905058	1.946167197	0.1090255026
-20	85	1.33760255608204	0.04405124032	1.952708922	0.1095978293
-25	85	1.38512754325051	-0.08354863511	1.951424086	0.1094854208
-30	85	1.43733967358364	-0.2166158422	1.941215048	0.1085922457
-35	85	1.49422400480663	-0.3548591747	1.920865426	0.1068118845
-40	85	1.55568729503246	-0.4977382540	1.889058149	0.1040291083
-45	85	1.62154200160946	-0.6444155213	1.844415521	0.1001233845

45	90	1.10271695914580	1.279738640	1.479738640	0.000000000
40	90	1.09760478637624	1.205526757	1.540814047	0.000000000
35	90	1.09617456545135	1.128739901	1.597933636	0.000000000
30	90	1.09841572834303	1.049207864	1.651255925	0.000000000
25	90	1.10434202019030	0.9667151049	1.700873772	0.000000000
20	90	1.11399463798408	0.8810086057	1.746812541	0.000000000
15	90	1.12743760348099	0.7918023239	1.789021099	0.000000000
10	90	1.14475545833575	0.6987846992	1.827364051	0.000000000
5	90	1.16605332752885	0.6016282438	1.861616143	0.000000000
0	90	1.19144776732016	0.5000000000	1.891447767	0.000000000
-5	90	1.22106712164297	0.3935769881	1.916420593	0.000000000
-10	90	1.25504193405185	0.2820642553	1.935975027	0.000000000
-15	90	1.29349877468116	0.1652178823	1.949423873	0.000000000
-20	90	1.33654378673466	0.04287510250	1.955940334	0.000000000
-25	90	1.38425588740805	-0.08501181694	1.954561890	0.000000000
-30	90	1.43666517070135	-0.2183325854	1.944188535	0.000000000
-35	90	1.49374667347808	-0.3567778938	1.923605641	0.000000000
-40	90	1.55539654369408	-0.4997896264	1.891502879	0.000000000
-45	90	1.62141639175236	-0.6465145257	1.846514526	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	1.62141639235794	-0.6465145262	1.846514526	1.404075345e-16
-90	40	1.69151227737367	-0.7957735805	1.787283134	1.586864968e-16
-90	35	1.76527343177544	-0.9460273404	1.712519244	1.770872754e-16
-90	30	1.84216950112220	-1.095365586	1.621084751	1.953759358e-16
-90	25	1.92156588890464	-1.241530128	1.512088836	2.132759297e-16
-90	20	2.00270758444781	-1.381929539	1.384966335	2.304698986e-16
-90	15	2.08475320277569	-1.513716960	1.239573833	2.466092029e-16
-90	10	2.16679296957004	-1.633874516	1.076259651	2.613242595e-16
-90	5	2.24785090124908	-1.739297150	0.8959131149	2.742348087e-16
-90	-2.84217e-14	2.32694263051545	-1.826942631	0.7000000000	2.849682844e-16
-90	-5	2.40307153890557	-1.893927126	0.4905585152	2.931715192e-16
-90	-10	2.47525154207485	-1.937646909	0.2701770805	2.985256485e-16
-90	-15	2.54254367867695	-1.955908604	0.04194127295	3.007620611e-16
-90	-20	2.60406281444908	-1.947018611	-0.1906419370	2.996733509e-16
-90	-25	2.65899443989573	-1.909867367	-0.4237396082	2.951236357e-16
-90	-30	2.70660854470654	-1.843991758	-0.6533042724	2.870562003e-16
-90	-35	2.74627070728845	-1.749613264	-0.8751961655	2.754981683e-16
-90	-40	2.77745201036430	-1.627651679	-1.085311739	2.605621818e-16
-90	-45	2.79973561761686	-1.479712041	-1.279712041	2.424448014e-16

-85	45	1.62154200236105	-0.6444155218	1.844415522	0.1001233845
-85	40	1.69149939298571	-0.7928633815	1.784841187	0.1131108894
-85	35	1.76505706456834	-0.9421513366	1.709805237	0.1261718930
-85	30	1.84168345522662	-1.090386226	1.618209916	0.1391407654
-85	25	1.92074798994507	-1.235342215	1.509203364	0.1518227711
-85	20	2.00150476671867	-1.374475244	1.382253194	0.1639953339
-85	15	2.08312833629533	-1.505000812	1.237238348	0.1754148414
-85	10	2.16472777959534	-1.623971666	1.074513511	0.1858234424
-85	5	2.24535103813235	-1.728359365	0.8949561827	0.1949561827
-85	-2.84217e-14	2.32403717882581	-1.815193516	0.7000000000	0.2025531865
-85	-5	2.39981440616756	-1.881653833	0.4916322892	0.2083677108
-85	-10	2.47171979661581	-1.925183833	0.2723746570	0.2121760924
-85	-15	2.53883002913794	-1.943611457	0.04523628337	0.2137883006
-85	-20	2.60027235577421	-1.935240845	-0.1863551808	0.2130559669
-85	-25	2.65523803722759	-1.898933478	-0.4186410523	0.2098794839
-85	-30	2.70299468125550	-1.834171759	-0.6476346932	0.2042135676
-85	-35	2.74290024251186	-1.741104455	-0.8692382334	0.1960712336
-85	-40	2.77440955890215	-1.620563885	-1.079364374	0.1855253002
-85	-45	2.79708501114219	-1.474063884	-1.274063884	0.1727082109

-80	45	1.62192079479010	-0.6380593974	1.838059397	0.2006705774
-80	40	1.69145965345359	-0.7840722248	1.777464530	0.2264165784
-80	35	1.76440511859145	-0.9304714706	1.701626907	0.2522307154
-80	30	1.84022325221757	-1.075417819	1.609567902	0.2777886674
-80	25	1.91829644480995	-1.216783493	1.500549290	0.3027152498
-80	20	1.99790614945293	-1.352164940	1.374132907	0.3265866516
-80	15	2.07827525814658	-1.478961598	1.230261162	0.3489443236
-80	10	2.15856536412373	-1.594429045	1.069304350	0.3693043499
-80	5	2.23789759481812	-1.695763887	0.8921044479	0.3871724165
-80	-2.84217e-14	2.31537641850755	-1.780200648	0.7000000000	0.4020608957
-80	-5	2.39010460515275	-1.845105241	0.4948298767	0.4135053265
-80	-10	2.46118453678874	-1.888056653	0.2789211805	0.4210788195
-80	-15	2.52774161486961	-1.906949497	0.05505982618	0.4244101374
-80	-20	2.58893996102539	-1.900084623	-0.1735593625	0.4231996750
-80	-25	2.64398819627939	-1.866242873	-0.4033971728	0.4172324614
-80	-30	2.69215235176969	-1.804755568	-0.6306512478	0.4063905906
-80	-35	2.73276613368016	-1.715559198	-0.8513512520	0.3906628640
-80	-40	2.76524006437427	-1.599233023	-1.061465655	0.3701514207
-80	-45	2.78907694970122	-1.457022342	-1.257022342	0.3450758408

-75	45	1.62257015372840	-0.6272750823	1.827275082	0.3020524480
-75	40	1.69140217082907	-0.7692274874	1.765008317	0.3400884803
-75	35	1.76332156180047	-0.9108435535	1.687883291	0.3780343908
-75	30	1.83779408342999	-1.050381509	1.595113182	0.4154234733
-75	25	1.91422381583436	-1.185877042	1.486137375	0.4517293919
-75	20	1.99194526619018	-1.315161488	1.360664752	0.4863710547
-75	15	2.07025633969340	-1.435923879	1.218729240	0.5187292399
-75	10	2.14840506503608	-1.545740142	1.060719183	0.5481544189
-75	5	2.22562329125931	-1.642151508	0.8874139725	0.5739877665
-75	-2.84217e-14	2.30112450660498	-1.722715590	0.7000000000	0.5955748475
-75	-5	2.37412340960797	-1.785082144	0.5000812172	0.6122859150
-75	-10	2.44382311407678	-1.827041174	0.2896798559	0.6235288032
-75	-15	2.50943517126033	-1.846605769	0.07122887929	0.6287711207
-75	-20	2.57018327033582	-1.842081265	-0.1524478666	0.6275587835
-75	-25	2.62530958763818	-1.812137758	-0.3781675433	0.6195354450
-75	-30	2.67408216737325	-1.755882519	-0.6024343794	0.6044618991
-75	-35	2.71580289393781	-1.672929254	-0.8215014435	0.5822346387
-75	-40	2.74982010443196	-1.563463866	-1.031451769	0.5529034764
-75	-45	2.77554489618717	-1.428300354	-1.228300354	0.5166865225

-70	45	1.62351314023793	-0.6117673147	1.811767315	0.4046502100
-70	40	1.69133547985558	-0.7480353896	1.747226035	0.4542477331
-70	35	1.76180810042773	-0.8830274373	1.668406237	0.5033808203
-70	30	1.83440447320034	-1.015153407	1.574774227	0.5514707403
-70	25	1.90856320538877	-1.142680067	1.465994295	0.5978866489
-70	20	1.98369192783736	-1.263753042	1.341953608	0.6419536081
-70	15	2.05918488295377	-1.376433634	1.202788877	0.6829659895
-70	10	2.13441638811797	-1.478717170	1.048901224	0.7201941518
-70	5	2.20875180788706	-1.568568935	0.8809763316	0.7528975200
-70	-2.84217e-14	2.28155064075963	-1.643956301	0.7000000000	0.7803362772
-70	-5	2.35216392733207	-1.702879116	0.5072730502	0.8017824281
-70	-10	2.41993053907781	-1.743403927	0.3044273590	0.8165322529
-70	-15	2.48417271159309	-1.763704084	0.09344231871	0.8239209059
-70	-20	2.54420221243161	-1.762117585	-0.1233434673	0.8233434673
-70	-25	2.59931435472339	-1.737202240	-0.3432245376	0.8142750236
-70	-30	2.64879237420855	-1.687809094	-0.5631321695	0.7962973886
-70	-35	2.69191159391620	-1.613162945	-0.7796526232	0.7691284120
-70	-40	2.72795329445284	-1.512955025	-0.9890698188	0.7326557119
-70	-45	2.75621734679542	-1.387433050	-1.187433050	0.6869694495

-65	45	1.62478937386188	-0.5911158236	1.791115824	0.5087956645
-65	40	1.69127870589747	-0.7200889128	1.723776157	0.5689368037
-65	35	1.75987237652003	-0.8467008513	1.642970088	0.6279769202
-65	30	1.83006621698079	-0.9695766581	1.548460479	0.6852748499
-65	25	1.90135378345269	-1.087282708	1.440162082	0.7401620822
-65	20	1.97323601222503	-1.198343265	1.318146396	0.7919504706
-65	15	2.04522218127739	-1.301248680	1.182643129	0.8399360536
-65	10	2.11683245657766	-1.394463720	1.034045068	0.8834029407
-65	5	2.18758852208585	-1.476425190	0.8729147984	0.9216222018
-65	-2.84217e-14	2.25701445635856	-1.545549777	0.7000000000	0.9538555263
-65	-5	2.32462364667286	-1.600232601	0.5162534566	0.9793545459
-65	-10	2.38990343234865	-1.638849172	0.3228631833	0.9973617485
-65	-15	2.45231397032978	-1.659778699	0.1212890418	1.007121347
-65	-20	2.51127744502483	-1.661429808	-0.08669611354	1.007891272
-65	-25	2.56616880136401	-1.642281673	-0.2989623498	0.9989623498
-65	-30	2.61631072351153	-1.600945383	-0.5129813826	0.9796869216
-65	-35	2.66097367953827	-1.536247382	-0.7257957666	0.9495177482
-65	-40	2.69938197945845	-1.447334885	-0.9340079840	0.9080571700
-65	-45	2.73072511757401	-1.333799158	-1.133799158	0.8551145909

-60	45	1.62644935016128	-0.5647610373	1.764761037	0.6147400715
-60	40	1.69125428939641	-0.6848638955	1.694218858	0.6840814890
-60	35	1.75752838042262	-0.8014716296	1.611300246	0.7514049957
-60	30	1.82480497332730	-0.9134878544	1.516077593	0.8160775932
-60	25	1.89265503256093	-1.019836622	1.408711456	0.8774780830
-60	20	1.96069284201781	-1.119463146	1.289436381	0.9349974832
-60	15	2.02856330309081	-1.211316335	1.158545830	0.9880289465
-60	10	2.09593868565162	-1.294336176	1.016389880	1.035960474
-60	5	2.16250794250463	-1.367434295	0.8633793307	1.078163693
-60	-2.84217e-14	2.22796234751066	-1.429471992	0.7000000000	1.113981174
-60	-5	2.29198644051571	-1.479245486	0.5268384577	1.142717914
-60	-10	2.35423089018713	-1.515460511	0.3446199334	1.163626668
-60	-15	2.41430799940385	-1.536734427	0.1542586551	1.175909170
-60	-20	2.47177203138702	-1.541596534	-0.04308036859	1.178716308
-60	-25	2.52610553223252	-1.528508964	-0.2459092646	1.171160196
-60	-30	2.57670527035265	-1.495907320	-0.4523376285	1.152337628
-60	-35	2.62287083974621	-1.442268486	-0.6599910349	1.121369233
-60	-40	2.66380139553219	-1.366213802	-0.8659393133	1.077459041
-60	-45	2.69859754124341	-1.266646786	-1.066646786	1.019973998

-55	45	1.62856270248487	-0.5319994598	1.731999460	0.7226138012
-55	40	1.69129973851322	-0.6417336038	1.658028246	0.7994504760
-55	35	1.75479563199322	-0.7468959642	1.573085954	0.8730859535
-55	30	1.81865171408101	-0.8467342185	1.477537364	0.9429934518
-55	25	1.88254316175435	-0.9405717780	1.371749652	1.008699218
-55	20	1.94620803673972	-1.027782233	1.256067257	1.069764636
-55	15	2.00943788802786	-1.107762618	1.130798695	1.125767505
-55	10	2.07206275900877	-1.179901419	0.9962119451	1.176279637
-55	5	2.13393054286274	-1.243541807	0.8525401425	1.220841117
-55	-2.84217e-14	2.19489797080743	-1.297955160	0.7000000000	1.258941756
-55	-5	2.25481389458759	-1.342310335	0.5388187310	1.289999584
-55	-10	2.31349106844892	-1.375636687	0.3692746461	1.313334947
-55	-15	2.37070121501116	-1.396811449	0.1917509041	1.328161675
-55	-20	2.42614848696546	-1.404537687	0.006804971916	1.333571645
-55	-25	2.47944995511838	-1.397340631	-0.1847444663	1.328532212
-55	-30	2.53011360274635	-1.373580598	-0.3817122624	1.311895258
-55	-35	2.57751704121061	-1.331492818	-0.5824250771	1.282425077
-55	-40	2.62088644708140	-1.269263047	-0.7845879700	1.238851322
-55	-45	2.65928508016358	-1.185155114	-0.9851551138	1.179958314

-50	45	1.63121794775009	-0.4919769148	1.691976915	0.8323674634
-50	40	1.69146076161167	-0.5899781226	1.614600241	0.9146002406
-50	35	1.75170686129475	-0.6825122076	1.528003962	0.9922455573
-50	30	1.81165762968876	-0.7692164211	1.432782442	1.064999031
-50	25	1.87111254265755	-0.8498210910	1.329431912	1.132634380
-50	20	1.92995241609907	-0.9241106772	1.218333897	1.194970744
-50	15	1.98811057175420	-0.9918773484	1.099747331	1.251833733
-50	10	2.04556511180347	-1.052891515	0.9738166722	1.303030698
-50	5	2.10231491014920	-1.106861921	0.8405822019	1.348317245
-50	-2.84217e-14	2.15836350648873	-1.153402370	0.7000000000	1.387369319
-50	-5	2.21370715373521	-1.192002331	0.5519689774	1.419758532
-50	-10	2.26831248464268	-1.221990266	0.3963666556	1.444921397
-50	-15	2.32210513347311	-1.242506729	0.2330967292	1.462136754
-50	-20	2.37494664371208	-1.252471639	0.06215248716	1.470498306
-50	-25	2.42660997088221	-1.250557085	-0.1162981748	1.468891804
-50	-30	2.47675201557288	-1.235170199	-0.3018009813	1.455980674
-50	-35	2.52488121560264	-1.204453483	-0.4934711771	1.430206289
-50	-40	2.57032311781551	-1.156317445	-0.6898153569	1.389815357
-50	-45	2.61218385549271	-1.088522297	-0.8885222974	1.332928474

-45	45	1.63452737851016	-0.4436948220	1.643694822	0.9436948220
-45	40	1.69180163501165	-0.5288190911	1.563281720	1.028819091
-45	35	1.74830906119318	-0.6078812035	1.475746770	1.107881203
-45	30	1.80388955869055	-0.6809229211	1.381806166	1.180922921
-45	25	1.85848620932662	-0.7480532823	1.281976803	1.248053282
-45	20	1.91212015541821	-0.8094028240	1.176583653	1.309402824
-45	15	1.96486659696656	-0.8650843692	1.065773254	1.365084369
-45	10	2.01683313031038	-0.9151590536	0.9495307231	1.415159054
-45	5	2.06814263886304	-0.9596072959	0.8276990916	1.459607296
-45	-2.84217e-14	2.11892389018748	-0.9983054516	0.7000000000	1.498305452
-45	-5	2.16929802457608	-1.030998474	0.5660549897	1.530998474
-45	-10	2.21936423919594	-1.057269835	0.4254113118	1.557269835
-45	-15	2.26918848515674	-1.076510964	0.2775751605	1.576510964
-45	-20	2.31878447038657	-1.087882919	0.1220578820	1.587882919
-45	-25	2.36809041574651	-1.090274386	-0.04155712491	1.590274386
-45	-30	2.41694235953047	-1.082260188	-0.2135183452	1.582260188
-45	-35	2.46503374374079	-1.062060514	-0.3937665470	1.562060514
-45	-40	2.51186643517873	-1.027517227	-0.5817391421	1.527517227
-45	-45	2.55669072071942	-0.9761060758	-0.7761060758	1.476106076


### -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	2.79973560862896	-1.479712034	-1.279712034	2.424448006e-16
-40	-90	2.81281492485511	-1.308042582	-1.454741243	2.638796966e-16
-35	-90	2.81650679132475	-1.115481928	-1.607147296	2.825440551e-16
-30	-90	2.81076352482220	-0.9053817624	-1.734192617	2.981026196e-16
-25	-90	2.79567132905736	-0.6815017575	-1.833738696	3.102934983e-16
-20	-90	2.77143034500196	-0.4478850038	-1.904292644	3.189338651e-16
-15	-90	2.73836110886325	-0.2087400073	-1.945053717	3.239256568e-16
-10	-90	2.69691176145256	0.03168618730	-1.955939612	3.252587944e-16
-5	-90	2.64763825093561	0.2692431217	-1.937563188	3.230083316e-16
-2.84217e-14	-90	2.59119665804331	0.5000000000	-1.891196658	3.173300693e-16
5	-90	2.52833432205556	0.7203588558	-1.818713247	3.084534115e-16
10	-90	2.45988449108957	0.9271544591	-1.722513318	2.966723181e-16
15	-90	2.38674892138259	1.117736077	-1.605422424	2.823328192e-16
20	-90	2.30988455095537	1.290027045	-1.470581467	2.658195646e-16
25	-90	2.23028040894256	1.442557230	-1.321320502	2.475403683e-16
30	-90	2.14892641675284	1.574463208	-1.161024868	2.279098147e-16
35	-90	2.06681380265768	1.685475696	-0.9930347516	2.073369589e-16
40	-90	1.98489268713608	1.775864426	-0.8205160132	1.862095069e-16
45	-90	1.90406657151011	1.846378385	-0.6463783845	1.648837979e-16

-45	-85	2.79708499712207	-1.474063874	-1.274063874	0.1727082100
-40	-85	2.80966607612061	-1.301976100	-1.447511491	0.1878829103
-35	-85	2.81289519059675	-1.109282981	-1.598294282	0.2010746951
-30	-85	2.80675167622232	-0.8993649194	-1.723771139	0.2120524976
-25	-85	2.79134229407288	-0.6759812255	-1.821899877	0.2206376497
-20	-85	2.76688741643498	-0.4431492785	-1.891281346	0.2267077418
-15	-85	2.73371970301808	-0.2050257215	-1.931191813	0.2301994552
-10	-85	2.69229255732784	0.03421397936	-1.941603791	0.2311103852
-5	-85	2.64315988034438	0.2705034306	-1.923157792	0.2294965694
-2.84217e-14	-85	2.58696915990253	0.5000000000	-1.877124961	0.2254692186
5	-85	2.52445327127395	0.7191896789	-1.805349494	0.2191896789
10	-85	2.45642440035389	0.9249791292	-1.710176409	0.2108631129
15	-85	2.38375959396595	1.114771085	-1.594356924	0.2007302209
20	-85	2.30738995085233	1.286520317	-1.460946810	0.1890583484
25	-85	2.22827818651416	1.438764593	-1.313187166	0.1761310546
30	-85	2.14739049274496	1.570626571	-1.154379618	0.1622371944
35	-85	2.06569899400790	1.681805226	-0.9877927774	0.1476627344
40	-85	1.98413945493843	1.772525553	-0.8165368995	0.1326797865
45	-85	1.90360654310321	1.843484703	-0.6434847030	0.1175396811

-45	-80	2.78907692027843	-1.457022322	-1.257022322	0.3450758371
-40	-80	2.80017567301123	-1.283719736	-1.425754403	0.3748278556
-35	-80	2.80203571018526	-1.090674575	-1.571718723	0.4005653035
-30	-80	2.79471442301028	-0.8813446448	-1.692559108	0.4218727236
-25	-80	2.77837775778162	-0.6594810321	-1.786515098	0.4384396997
-20	-80	2.75330338165257	-0.4290188196	-1.852458229	0.4500672529
-15	-80	2.71986115356686	-0.1939584785	-1.889888300	0.4566671843
-10	-80	2.67851449413090	0.04173866112	-1.898929200	0.4582613389
-5	-80	2.62981033495337	0.2742531814	-1.880297944	0.4549761457
-2.84217e-14	-80	2.57437071280584	0.5000000000	-1.835260237	0.4470347829
5	-80	2.51288501476980	0.7157097757	-1.765574019	0.4347472225
10	-80	2.44610360698746	0.9184986553	-1.673423815	0.4184986553
15	-80	2.37483358001952	1.105926481	-1.561348413	0.3987367380
20	-80	2.29993036463143	1.276041829	-1.432157402	0.3759568771
25	-80	2.22228012139992	1.427408680	-1.288834332	0.3506851530
30	-80	2.14277942989482	1.559112468	-1.134436606	0.3234606680
35	-80	2.06234400077407	1.670762440	-0.9720220456	0.2948225990
40	-80	1.98186653099743	1.762454523	-0.8045347138	0.2652900635
45	-80	1.90221416105495	1.834733921	-0.6347339209	0.2353496023

-45	-75	2.77554482398047	-1.428300304	-1.228300304	0.5166865091
-40	-75	2.78421442071280	-1.253108494	-1.389273346	0.5598191059
-35	-75	2.78385587243226	-1.059627445	-1.527378827	0.5968243578
-30	-75	2.77464629815758	-0.8514149914	-1.640719427	0.6271938803
-25	-75	2.75684937402338	-0.6321885734	-1.727986231	0.6505769498
-20	-75	2.73082170590448	-0.4057265154	-1.788463149	0.6667816912
-15	-75	2.69698309372004	-0.1757636546	-1.821984293	0.6757636546
-10	-75	2.65581332013774	0.05408650568	-1.828901093	0.6776170057
-5	-75	2.60784362051318	0.2804002436	-1.810036701	0.6725623070
-2.84217e-14	-75	2.55365018675383	0.5000000000	-1.766636667	0.6609333029
5	-75	2.49385031263823	0.7100006752	-1.700318701	0.6431634574
10	-75	2.42909917209321	0.9078479808	-1.613020838	0.6197720657
15	-75	2.36009622994031	1.091352336	-1.506956964	0.5913523364
20	-75	2.28757977729394	1.258717296	-1.384558638	0.5585558037
25	-75	2.21231450577733	1.408557873	-1.248408647	0.5220745235
30	-75	2.13508870877500	1.539913048	-1.101182235	0.4826253252
35	-75	2.05672732799472	1.652260941	-0.9455991662	0.4409369677
40	-75	1.97804653002123	1.745496808	-0.7843252956	0.3977237643
45	-75	1.89986496609171	1.819924708	-0.6199247078	0.3536727595

-45	-70	2.75621722132106	-1.387432964	-1.187432964	0.6869694182
-40	-70	2.76157929054076	-1.209890064	-1.337767626	0.7416867603
-35	-70	2.75825084593890	-1.016117063	-1.465239562	0.7880827505
-30	-70	2.74655654828957	-0.8097530653	-1.568558855	0.8256878977
-25	-70	2.72688817977242	-0.5944257878	-1.647003676	0.8542394777
-20	-70	2.69968482528939	-0.3736600628	-1.700361295	0.8736600628
-15	-70	2.66542066942725	-0.1508127931	-1.728866410	0.8840350762
-10	-70	2.62458389389500	0.07097380873	-1.733128439	0.8855863278
-5	-70	2.57767614352765	0.2887954768	-1.714078747	0.8786528070
-2.84217e-14	-70	2.52520897725172	0.5000000000	-1.672920242	0.8636723363
5	-70	2.46770441468467	0.7021938775	-1.611086595	0.8411667292
10	-70	2.40569935748626	0.8932463485	-1.530210867	0.8117303717
15	-70	2.33975788457623	1.071296074	-1.432105974	0.7760231109
20	-70	2.27046611405189	1.234758202	-1.318731568	0.7347582018
25	-70	2.19843841987293	1.382334566	-1.192172584	0.6886944986
30	-70	2.12432551926635	1.513029155	-1.054617967	0.6386287124
35	-70	2.04881780180508	1.626165748	-0.9083313689	0.5853847451
40	-70	1.97263111081736	1.721396158	-0.7556032592	0.5297962593
45	-70	1.89651161385673	1.798714234	-0.5987142340	0.4726933240

-45	-65	2.73072494907351	-1.333799045	-1.133799045	0.8551145382
-40	-65	2.73200510087524	-1.153755630	-1.270869214	0.9190314076
-35	-65	2.72509314119861	-0.9601520842	-1.385313289	0.9723975562
-30	-65	2.71048079225568	-0.7566407764	-1.476565672	1.014949241
-25	-65	2.68868843184859	-0.5466569901	-1.544563159	1.046656990
-20	-65	2.66023696267121	-0.3333599634	-1.589637682	1.067675585
-15	-65	2.62563227560606	-0.1196115948	-1.612421953	1.078300065
-10	-65	2.58535599670551	0.09201994635	-1.613769861	1.078928605
-5	-65	2.53986259024383	0.2992402029	-1.594694981	1.070033843
-2.84217e-14	-65	2.48958165288713	0.5000000000	-1.556327238	1.052142671
5	-65	2.43492534679120	0.6924651831	-1.499887110	1.025824206
10	-65	2.37629761061245	0.8749897608	-1.426672613	0.9916837257
15	-65	2.31410672875049	1.046096030	-1.338058128	0.9503621128
20	-65	2.24877377332211	1.204462819	-1.235495688	0.9025364614
25	-65	2.18074249555417	1.348922973	-1.120521190	0.8489229729
30	-65	2.11049783877774	1.478474981	-0.9947683816	0.7902834751
35	-65	2.03857269231533	1.592302542	-0.8599696983	0.7274258168
40	-65	1.96555534132296	1.689803127	-0.7179521513	0.6612019471
45	-65	1.89209337167742	1.770621935	-0.5706219347	0.5925007388

-45	-60	2.69859744317109	-1.266646722	-1.066646722	1.019973960
-40	-60	2.69517989851853	-1.084385445	-1.188197046	1.090151073
-35	-60	2.68426020810633	-0.8918221831	-1.287728077	1.147615340
-30	-60	2.66650232795049	-0.6924960935	-1.365463822	1.192496093
-25	-60	2.64253081723085	-0.4895051296	-1.422000598	1.225137617
-20	-60	2.61292103991748	-0.2855135121	-1.458180637	1.246026172
-15	-60	2.57818657483689	-0.08278521589	-1.474984036	1.255727618
-10	-60	2.53877596555231	0.1167621556	-1.473449820	1.254841838
-5	-60	2.49507593694113	0.3114948719	-1.454623473	1.243972442
-2.84217e-14	-60	2.44741919042197	0.5000000000	-1.419527193	1.223709595
5	-60	2.39609703014320	0.6810271867	-1.369150212	1.194624432
10	-60	2.34137525483032	0.8534394597	-1.304454782	1.157272508
15	-60	2.28350666224369	1.016174406	-1.226389108	1.112201270
20	-60	2.22274096402831	1.168215011	-1.135905654	1.059960623
25	-60	2.15934487840556	1.308574424	-1.033993448	1.001121584
30	-60	2.09362640714390	1.436298193	-0.9217160416	0.9362981932
35	-60	2.02594833109914	1.550479317	-0.8002399422	0.8661639345
40	-60	1.95674448391530	1.650289627	-0.6708617954	0.7914674266
45	-60	1.88653065995596	1.735024221	-0.5350242214	0.7130415667

-45	-55	2.65928474425678	-1.185154901	-0.9851549010	1.179958165
-40	-55	2.65076485745348	-1.001512446	-1.089432851	1.252974372
-35	-55	2.63566424206829	-0.8113557989	-1.172810170	1.311355799
-30	-55	2.61477495918682	-0.6179079603	-1.236273385	1.355793220
-25	-55	2.58878915681338	-0.4237600768	-1.281009878	1.387118050
-20	-55	2.55829373576030	-0.2309513443	-1.308272313	1.406207412
-15	-55	2.52376995069138	-0.04106514460	-1.319282610	1.413916905
-10	-55	2.48560256560887	0.1446704293	-1.315174134	1.411040120
-5	-55	2.44409110712391	0.3252885938	-1.296960511	1.398286803
-2.84217e-14	-55	2.39946270399643	0.5000000000	-1.265524779	1.376275267
5	-55	2.35188650662740	0.6681203281	-1.221624143	1.345535711
10	-55	2.30149296338415	0.8290101635	-1.165909359	1.306523799
15	-55	2.24838617802127	0.9820262608	-1.098946496	1.259635897
20	-55	2.19265640451798	1.126482067	-1.021245332	1.205228956
25	-55	2.13440333390339	1.261621155	-0.9333018377	1.143650259
30	-55	2.07376110466264	1.386605571	-0.8356458958	1.075270832
35	-55	2.01091070907892	1.500514169	-0.7288823165	1.000514169
40	-55	1.94611524919079	1.602367213	-0.6137500860	0.9198977135
45	-55	1.87973331970019	1.691163084	-0.4911630836	0.8340613704

-45	-50	2.61218354519677	-1.088522109	-0.8885221087	1.332928316
-40	-50	2.59843830219607	-0.9050176927	-0.9744348829	1.405017693
-35	-50	2.57927318518752	-0.7191813956	-1.041171480	1.461016347
-30	-50	2.55554441372059	-0.5336710681	-1.090370808	1.502299485
-25	-50	2.52794556649019	-0.3503869087	-1.123660611	1.530232946
-20	-50	2.49701612577128	-0.1706321296	-1.142546633	1.546080200
-15	-50	2.46316279963347	0.004734410536	-1.148356343	1.550955126
-10	-50	2.42667810839627	0.1751680402	-1.142213588	1.545800742
-5	-50	2.38775843935633	0.3403301344	-1.125034914	1.531386124
-2.84217e-14	-50	2.34652069221699	0.5000000000	-1.097539137	1.508314427
5	-50	2.30301998500225	0.6540033888	-1.060266789	1.477039214
10	-50	2.25726439695361	0.8021544618	-1.013603106	1.437883734
15	-50	2.20922737038377	0.9442070561	-0.9578033023	1.391062140
20	-50	2.15886226715193	1.079812996	-0.8930231127	1.336705106
25	-50	2.10612507823363	1.208488829	-0.8193591973	1.274893742
30	-50	2.05098199948569	1.329584782	-0.7368829908	1.205687988
35	-50	1.99344390692793	1.442269217	-0.6456999040	1.129176293
40	-50	1.93359135943789	1.545524178	-0.5460071955	1.045524178
45	-50	1.87160372277418	1.638160409	-0.4381604090	0.9550299795

-45	-45	2.55669053907403	-0.9761059710	-0.7761059710	1.476105971
-40	-45	2.53794957745989	-0.7950486811	-0.8433789183	1.543378918
-35	-45	2.51517168741192	-0.6160133847	-0.8938322908	1.593832291
-30	-45	2.48918282819807	-0.4408226759	-0.9295526755	1.629552676
-25	-45	2.46059477789650	-0.2705244601	-0.9523950371	1.652395037
-20	-45	2.42984279904851	-0.1056226922	-0.9639346716	1.663934672
-15	-45	2.39721748960644	0.05374169224	-0.9654586778	1.665458678
-10	-45	2.36289639433245	0.2076529351	-0.9579825940	1.657982594
-5	-45	2.32696493961944	0.3563197222	-0.9422730906	1.642273091
-2.84217e-14	-45	2.28943416695225	0.5000000000	-0.9188744245	1.618874425
5	-45	2.25025664811577	0.6389438641	-0.8881356342	1.588135634
10	-45	2.20934192939709	0.7733486876	-0.8502374425	1.550237442
15	-45	2.16656044476939	0.9033199332	-0.8052104823	1.505210482
20	-45	2.12175660494795	1.028834190	-0.7529599944	1.452959994
25	-45	2.07476336033953	1.149703044	-0.6932926749	1.393292675
30	-45	2.02541389443400	1.265534495	-0.6259446407	1.325944641
35	-45	1.97356291425308	1.375694744	-0.5506217036	1.250621704
40	-45	1.91911041020699	1.479271388	-0.4670501949	1.167050195
45	-45	1.86204554321088	1.575052496	-0.3750524956	1.075052496