path: root/test/Kerr-selection-areal-radius-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	2.57059310434641	-0.9841326208	-0.7841326208	1.484132621
-40	-45	2.54829683754196	-0.8003286149	-0.8496712983	1.549671298
-35	-45	2.52191506000258	-0.6190055041	-0.8981054802	1.598105480
-30	-45	2.49258160129148	-0.4421072914	-0.9317776948	1.631777695
-25	-45	2.46257488772968	-0.2711445228	-0.9537247659	1.653724766
-20	-45	2.43404006906840	-0.1066688348	-0.9668089247	1.666808925
-15	-45	2.40377347496664	0.05252125107	-0.9700134263	1.670013426
-10	-45	2.37173890222534	0.2065589044	-0.9641871505	1.664187150
-5	-45	2.33806737014190	0.3556341939	-0.9501087148	1.650108715
0	-45	2.30284303051480	0.5000000000	-0.9283559229	1.628355923
5	-45	2.26607039119503	0.6399202961	-0.8992963028	1.599296303
10	-45	2.22768896511231	0.7756186568	-0.8631110775	1.563111078
15	-45	2.18758445120511	0.9072336947	-0.8198168391	1.519816839
20	-45	2.14560556915617	1.034778391	-0.7692915523	1.469291552
25	-45	2.10157887628120	1.158100206	-0.7113004451	1.411300445
30	-45	2.05532118204024	1.276838387	-0.6455235563	1.345523556
35	-45	2.00665747815529	1.390379220	-0.5715933076	1.271593308
40	-45	1.95544599213160	1.497812477	-0.4891466036	1.189146604
45	-45	1.90161282944162	1.597896679	-0.3978966790	1.097896679

-45	-40	2.52301068235411	-1.034294271	-0.5874257573	1.534294271
-40	-40	2.49923436908951	-0.8513765186	-0.6513765186	1.610507821
-35	-40	2.47083847040371	-0.6679260313	-0.6995940469	1.667971234
-30	-40	2.43770206877089	-0.4860059906	-0.7330248156	1.707812472
-25	-40	2.39903993863709	-0.3070237684	-0.7522029277	1.730668056
-20	-40	2.37357831320281	-0.1374800157	-0.7696510749	1.751461948
-15	-40	2.34336931431038	0.02882116239	-0.7755259580	1.758463361
-10	-40	2.30999445522933	0.1907871615	-0.7714729290	1.753633149
-5	-40	2.27453544351278	0.3479013779	-0.7587706857	1.738495205
0	-40	2.23742330136369	0.5000000000	-0.7381879757	1.713965687
5	-40	2.19882145389971	0.6470356130	-0.7102116057	1.680624747
10	-40	2.15877699222599	0.7889710666	-0.6751469821	1.638836356
15	-40	2.11727186378638	0.9257176577	-0.6331614339	1.588799928
20	-40	2.07425356579794	1.057089348	-0.5843178443	1.530590405
25	-40	2.02965584939486	1.182765003	-0.5286048762	1.464194275
30	-40	1.98341676776228	1.302255879	-0.4659691659	1.389547942
35	-40	1.93549801037157	1.414879114	-0.3963531310	1.306582783
40	-40	1.88590331308240	1.519738479	-0.3197384788	1.215276996
45	-40	1.83470946758049	1.615724260	-0.2362038148	1.115724260

-45	-35	2.47436998986281	-1.067976774	-0.3979091571	1.567976774
-40	-35	2.44890423680032	-0.8871695104	-0.4575580681	1.653164248
-35	-35	2.41918756968748	-0.7036493866	-0.5036493866	1.718989472
-30	-35	2.38593088406552	-0.5200690956	-0.5371347315	1.766811501
-25	-35	2.35011838211812	-0.3385949592	-0.5592341164	1.798372693
-20	-35	2.31671176792116	-0.1619269545	-0.5734179876	1.818629361
-15	-35	2.28269912482756	0.01061746665	-0.5788593830	1.826400479
-10	-35	2.24692609987677	0.1787904480	-0.5755469907	1.821669892
-5	-35	2.20951941019946	0.3420565248	-0.5640861968	1.805302182
0	-35	2.17072353021396	0.5000000000	-0.5450758668	1.778152617
5	-35	2.13070594085802	0.6523096377	-0.5189962926	1.740907125
10	-35	2.08956508048783	0.7987139912	-0.4862154481	1.694091228
15	-35	2.04735210413895	0.9389270353	-0.4470085656	1.638097997
20	-35	2.00409410949914	1.072606368	-0.4015826497	1.573223065
25	-35	1.95981120257549	1.199321280	-0.3501007723	1.499699325
30	-35	1.91453273816171	1.318529863	-0.2927089510	1.417735310
35	-35	1.86831502371049	1.429566711	-0.2295667109	1.327558845
40	-35	1.82125335591740	1.531639820	-0.1608774833	1.229460462
45	-35	1.77350381575776	1.623846799	-0.08692600034	1.123846799

-45	-30	2.42521242044811	-1.087674213	-0.2166441344	1.587674213
-40	-30	2.39762064960753	-0.9094625973	-0.2697937882	1.679732114
-35	-30	2.36615503477257	-0.7268807086	-0.3116142268	1.752167238
-30	-30	2.33171795681058	-0.5427759712	-0.3427759712	1.806140963
-25	-30	2.29539086505565	-0.3595173311	-0.3641956095	1.843240865
-20	-30	2.25863043926977	-0.1790043410	-0.3770752720	1.865549095
-15	-30	2.22133687409302	-0.002121259325	-0.3819209478	1.873942051
-10	-30	2.18308838873544	0.1704545420	-0.3790359939	1.868945165
-5	-30	2.14380545357141	0.3380336584	-0.3688391749	1.851283756
0	-30	2.10359056043636	0.5000000000	-0.3517952802	1.821762864
5	-30	2.06257627617490	0.6558294076	-0.3283406647	1.781138279
10	-30	2.02087971391917	0.8050594444	-0.2988610456	1.730078081
15	-30	1.97859425603713	0.9472505954	-0.2636910987	1.669161946
20	-30	1.93580113711963	1.081953272	-0.2231273519	1.598903475
25	-30	1.89257912190184	1.208683031	-0.1774428890	1.519775665
30	-30	1.84901413279226	1.326904258	-0.1269042585	1.432240189
35	-30	1.80521511777556	1.436026410	-0.07179274762	1.336784252
40	-30	1.76131868732611	1.535406836	-0.01242125906	1.233949817
45	-30	1.71750423377907	1.624370451	0.05084441739	1.124370451

-45	-25	2.37589774337357	-1.095517342	-0.04400195531	1.595517342
-40	-25	2.34575916364085	-0.9199506521	-0.08910041032	1.692231291
-35	-25	2.31209963062145	-0.7388630112	-0.1250286922	1.769279740
-30	-25	2.27580311954358	-0.5551142835	-0.1521826296	1.827511547
-25	-25	2.23775841625776	-0.3711182229	-0.1711182229	1.868119058
-20	-25	2.19873716937864	-0.1887880864	-0.1824544683	1.892429714
-15	-25	2.15906631539772	-0.009508713520	-0.1866897969	1.901512406
-10	-25	2.11879491775320	0.1656452476	-0.1842219210	1.896220029
-5	-25	2.07797409026043	0.3357495172	-0.1754420848	1.877391609
0	-25	2.03671342365619	0.5000000000	-0.1607522868	1.845889236
5	-25	1.99514690206875	0.6577035265	-0.1405473252	1.802559556
10	-25	1.95340758103766	0.8082559349	-0.1152019760	1.748206279
15	-25	1.91161511680493	0.9511137763	-0.08506602949	1.683579533
20	-25	1.86988121598315	1.085768923	-0.05046943181	1.609386890
25	-25	1.82831527380718	1.211729533	-0.01172953282	1.526308909
30	-25	1.78702820261066	1.328507073	0.03084088873	1.435016345
35	-25	1.74614524818918	1.435614855	0.07692134395	1.336196490
40	-25	1.70580500166822	1.532569311	0.1261766307	1.230568187
45	-25	1.66617123081337	1.618905517	0.1782457885	1.118905517

-45	-20	2.32663893194969	-1.093261584	0.1201002080	1.593261584
-40	-20	2.29363241953752	-0.9201508887	0.08399132542	1.692469924
-35	-20	2.25746534883992	-0.7408522378	0.05500083186	1.772120650
-30	-20	2.21896694266395	-0.5581609022	0.03291956026	1.832788445
-25	-20	2.17890185814894	-0.3744936446	0.01742562854	1.875357673
-20	-20	2.13789364091738	-0.1918556844	0.008144315577	1.900857870
-15	-20	2.09635426759150	-0.01186448421	0.004706110366	1.910304262
-10	-20	2.05452678558884	0.1641578866	0.006762174483	1.904655272
-5	-20	2.01258792344395	0.3350965563	0.01396888914	1.884854986
0	-20	1.97070177336585	0.5000000000	0.02598029702	1.851853914
5	-20	1.92902737667140	0.6580568251	0.04245218373	1.806597777
10	-20	1.88771464670619	0.8085742570	0.06304787747	1.750011574
15	-20	1.84689768934715	0.9509549496	0.08744290598	1.682986784
20	-20	1.80669925578542	1.084676022	0.1153239777	1.606384169
25	-20	1.76723470538329	1.209272661	0.1463866678	1.521040129
30	-20	1.72861375934959	1.324325708	0.1803327600	1.427774008
35	-20	1.69095070312803	1.429458326	0.2168644350	1.327404056
40	-20	1.65436109004743	1.524332562	0.2556826047	1.220752011
45	-20	1.61897044931076	1.608656520	0.2964820265	1.108656520

-45	-15	2.27752745790099	-1.082304436	0.2760228041	1.582304436
-40	-15	2.24145050456107	-0.9113517587	0.2493138718	1.681983529
-35	-15	2.20260639681305	-0.7339882322	0.2277883595	1.762317834
-30	-15	2.16177826641750	-0.5529124232	0.2113416438	1.823697813
-25	-15	2.11966954354154	-0.3705102496	0.1997883601	1.866815255
-20	-15	2.07686474632422	-0.1888298367	0.1928942505	1.892544422
-15	-15	2.03381068716560	-0.009597314857	0.1904026851	1.901843070
-10	-15	1.99083636782979	0.1657367464	0.1920484176	1.895701113
-5	-15	1.94819599558359	0.3359474615	0.1975606732	1.875129095
0	-15	1.90610117655624	0.5000000000	0.2066647136	1.841152354
5	-15	1.86473548718761	0.6570245453	0.2190851203	1.794798765
10	-15	1.82425942806171	0.8062948325	0.2345496606	1.737084315
15	-15	1.78480917141162	0.9472067961	0.2527932039	1.668998485
20	-15	1.74650319063791	1.079259439	0.2735582632	1.591502228
25	-15	1.70944397478412	1.202037969	0.2965957163	1.505525283
30	-15	1.67372108552712	1.315200038	0.3216643459	1.411967883
35	-15	1.63942056533833	1.418468996	0.3485284544	1.311709666
40	-15	1.60662100362300	1.511625006	0.3769583811	1.205607735
45	-15	1.57540096670403	1.594504450	0.4067284164	1.094504450

-45	-10	2.22856284907762	-1.063724259	0.4242732227	1.563724259
-40	-10	2.18932637793708	-0.8946070262	0.4069396326	1.662027934
-35	-10	2.14776411343309	-0.7192541854	0.3929661600	1.741275435
-30	-10	2.10462708290845	-0.5402548920	0.3822985732	1.801774326
-25	-10	2.06058734051392	-0.3599305583	0.3748306482	1.844127033
-20	-10	2.01621576427667	-0.1803109319	0.3704203771	1.869138924
-15	-10	1.97197643326694	-0.003139567813	0.3689033467	1.877742430
-10	-10	1.92823790363779	0.1701018847	0.3701018847	1.870945184
-5	-10	1.88529400127357	0.3381635674	0.3738305471	1.849798889
0	-10	1.84338277668257	0.5000000000	0.3798999401	1.815377650
5	-10	1.80269919455112	0.6547463719	0.3881200440	1.768759124
10	-10	1.76340250677432	0.8016967784	0.3983032216	1.711007454
15	-10	1.72561866085088	0.9402826589	0.4102670428	1.643157253
20	-10	1.68944892522405	1.070053361	0.4238351422	1.566208737
25	-10	1.65497056303194	1.190657335	0.4388386822	1.481119434
30	-10	1.62224394099715	1.301827178	0.4551161349	1.388805412
35	-10	1.59131790107899	1.403367832	0.4725129856	1.290142969
40	-10	1.56223009500204	1.495144940	0.4908819214	1.185967557
45	-10	1.53501249047102	1.577078113	0.5100820683	1.077078113

-45	-5	2.17967679852146	-1.038323372	0.5654141441	1.538323372
-40	-5	2.13729535670784	-0.8707519142	0.5570786489	1.633598518
-35	-5	2.09308629132877	-0.6974737481	0.5503795345	1.710169746
-30	-5	2.04777735684182	-0.5209623531	0.5452886635	1.768358668
-25	-5	2.00201815588344	-0.3434421567	0.5417533451	1.808767542
-20	-5	1.95636725592197	-0.1668671645	0.5397030540	1.832202476
-15	-5	1.91129021778915	0.007078665294	0.5390552015	1.839607465
-10	-5	1.86716643236991	0.1769667472	0.5397196648	1.832012614
-5	-5	1.82430060358792	0.3416021924	0.5416021924	1.810495225
0	-5	1.78293466752223	0.5000000000	0.5446070048	1.776150063
5	-5	1.74325800057391	0.6513611544	0.5486388456	1.730065912
10	-5	1.70541518386797	0.7950491208	0.5536046319	1.673306715
15	-5	1.66951168880539	0.9305667043	0.5594147451	1.606896816
20	-5	1.63562166613467	1.057534573	0.5659836710	1.531813650
25	-5	1.60379134445588	1.175670811	0.5732306125	1.448980730
30	-5	1.57404809580677	1.284774694	0.5810793157	1.359269642
35	-5	1.54640372939938	1.384711671	0.5894581428	1.263499209
40	-5	1.52085893291515	1.475401124	0.5982998710	1.162437794
45	-5	1.49740721206626	1.556806456	0.6075414156	1.056806456

-45	0	2.13075440533330	-1.006670889	0.7000000000	1.506670889
-40	0	2.08533770007294	-0.8404292356	0.7000000000	1.597461357
-35	0	2.03865335661500	-0.6693235272	0.7000000000	1.669967065
-30	0	1.99140766657813	-0.4957038333	0.7000000000	1.724609629
-25	0	1.94422368375933	-0.3216644337	0.7000000000	1.762065064
-20	0	1.89763747705262	-0.1490302419	0.7000000000	1.783195934
-15	0	1.85209811491844	0.02064173446	0.7000000000	1.788989402
-10	0	1.80797221674121	0.1860489193	0.7000000000	1.780505056
-5	0	1.76555138909594	0.3461220573	0.7000000000	1.758832933
0	0	1.72506076928103	0.5000000000	0.7000000000	1.725060769
5	0	1.68666777041277	0.6470027823	0.7000000000	1.680249490
10	0	1.65049063796866	0.7866046915	0.7000000000	1.625415977
15	0	1.61660469831666	0.9184080843	0.7000000000	1.561520229
20	0	1.58505205878614	1.042119732	0.7000000000	1.489461723
25	0	1.55584746187897	1.157529550	0.7000000000	1.410076670
30	0	1.52898703794053	1.264493519	0.7000000000	1.324141617
35	0	1.50445254843953	1.362918531	0.7000000000	1.232375381
40	0	1.48221635198046	1.452750306	0.7000000000	1.135443600
45	0	1.46224545335097	1.533963676	0.7000000000	1.033963676

-45	5	2.08165172246105	-0.9691414338	0.8285332206	1.469141434
-40	5	2.03339911427102	-0.8041181788	0.8359737894	1.554187525
-35	5	1.98450359382719	-0.6353525970	0.8418586289	1.621451548
-30	5	1.93564128750915	-0.4650545637	0.8462393602	1.671523536
-25	5	1.88739821848815	-0.2951532403	0.8491866863	1.705211627
-20	5	1.84027006089536	-0.1272930983	0.8507844039	1.723473623
-15	5	1.79466881264361	0.03715530051	0.8511244121	1.727359934
-10	5	1.75092677594638	0.1970770457	0.8503021507	1.717961444
-5	5	1.70930205175274	0.3515871250	0.8484128750	1.696366924
0	5	1.66998567847648	0.5000000000	0.8455488422	1.663630879
5	5	1.63310971571721	0.6417973540	0.8417973540	1.620751173
10	5	1.59875497015589	0.7765961350	0.8372394972	1.568654632
15	5	1.56696010364477	0.9041186726	0.8319496515	1.508191418
20	5	1.53773407678708	1.024167618	0.8259958096	1.440138693
25	5	1.51106244464270	1.136604500	0.8194397646	1.365202756
30	5	1.48691758720866	1.241333951	0.8123378996	1.284028068
35	5	1.46526142621481	1.338289419	0.8047415473	1.197201363
40	5	1.44605080851565	1.427423020	0.7966976954	1.105259716
45	5	1.42924046257594	1.508697257	0.7882495749	1.008697257

-45	10	2.03220625284336	-0.9259459715	0.9514327478	1.425945972
-40	10	1.98140402960452	-0.7621599088	0.9652281536	1.504183606
-35	10	1.93064846407262	-0.5960008158	0.9759960500	1.565251380
-30	10	1.88056744559124	-0.4295088431	0.9838787762	1.609956542
-25	10	1.83169006343905	-0.2644064524	0.9890483985	1.639274927
-20	10	1.78445225994107	-0.1021093583	0.9916945267	1.654281866
-15	10	1.73920633509001	0.05625051648	0.9920143401	1.656095618
-10	10	1.69623108383815	0.2097954373	0.9902045627	1.645831861
-5	10	1.65573554570656	0.3578692057	0.9864541853	1.624562413
0	10	1.61786352259122	0.5000000000	0.9809390524	1.593284540
5	10	1.58270013866136	0.6358613267	0.9738185334	1.552902070
10	10	1.55028024924861	0.7652341454	0.9652341454	1.504217586
15	10	1.52060164486368	0.8879736297	0.9553104120	1.447937298
20	10	1.49364037406281	1.003983697	0.9441571185	1.384683827
25	10	1.46935820795588	1.113197024	0.9318709072	1.315005261
30	10	1.44771369320547	1.215562041	0.9185378634	1.239389811
35	10	1.42866114995920	1.311029980	0.9042344018	1.158270850
40	10	1.41215765731599	1.399548377	0.8890295783	1.072040011
45	10	1.39816064401681	1.481052752	0.8729860698	0.9810527524

-45	15	1.98224880920552	-0.8771606019	1.069009071	1.377160602
-40	15	1.92927126503770	-0.7147849740	1.087916572	1.447724357
-35	15	1.87708951839902	-0.5516206526	1.102424837	1.501869939
-30	15	1.82625714924798	-0.3894940200	1.112815611	1.540648836
-25	15	1.77722000724347	-0.2298723694	1.119398456	1.565216347
-20	15	1.73033011469969	-0.07389534508	1.122492775	1.576764502
-15	15	1.68586107626893	0.07758591637	1.122414084	1.576470822
-10	15	1.64402256307871	0.2239671025	1.119463837	1.565460353
-5	15	1.60496550296098	0.3648500122	1.113920257	1.544771429
0	15	1.56877948379893	0.5000000000	1.106030008	1.515324619
5	15	1.53549465082047	0.6293000273	1.096003739	1.477906074
10	15	1.50509165970359	0.7527062712	1.084016337	1.433168482
15	15	1.47752244061448	0.8702121703	1.070212170	1.381650629
20	15	1.45273028562153	0.9818243302	1.054711534	1.323801467
25	15	1.43066115920707	1.087546869	1.037615534	1.259998326
30	15	1.41126948808084	1.187370763	1.019009881	1.190561085
35	15	1.39451746767604	1.281264482	0.9989673425	1.115761312
40	15	1.38037710678216	1.369168270	0.9775509932	1.035834408
45	15	1.36882577236445	1.450987038	0.9548162090	0.9509870385

-45	20	1.93161347948177	-0.8227516784	1.181442238	1.322751678
-40	20	1.87692732290017	-0.6621391391	1.204092767	1.384983494
-35	20	1.82383369238223	-0.5024996041	1.221102667	1.431717811
-30	20	1.77277776767939	-0.3453862407	1.232944115	1.464251921
-25	20	1.72409179729371	-0.1919574251	1.240098156	1.483907487
-20	20	1.67801866423621	-0.04303297844	1.243032978	1.491970846
-15	20	1.63473619595423	0.1008482857	1.242189889	1.489654478
-10	20	1.59437721245658	0.2393759885	1.237974291	1.478072218
-5	20	1.55703728932539	0.3724225620	1.230747506	1.458216789
0	20	1.52275533513393	0.5000000000	1.220812998	1.430921952
5	20	1.49149947556376	0.6222075304	1.208407623	1.396838464
10	20	1.46318113647233	0.7391781157	1.193706150	1.356446499
15	20	1.43769782076446	0.8510410739	1.176838541	1.310103124
20	20	1.41496198446913	0.9579037392	1.157903739	1.258080184
25	20	1.39491149355352	1.059842212	1.136977385	1.200585498
30	20	1.37750847030885	1.156893790	1.114115658	1.137773420
35	20	1.36273739537695	1.249050588	1.089359016	1.069755104
40	20	1.35059911605459	1.336251929	1.062735007	0.9966062405
45	20	1.34110868123548	1.418379261	1.034262715	0.9183792606

-45	25	1.88014875137136	-0.7626006093	1.288760333	1.262600609
-40	25	1.82431725398698	-0.6043079420	1.313690236	1.316062957
-35	25	1.77090221011600	-0.4488800636	1.331912706	1.355141171
-30	25	1.72020189762504	-0.2975248724	1.344135762	1.381353599
-25	25	1.67240029854714	-0.1510346986	1.351034699	1.396148417
-20	25	1.62760644335352	-0.009872641075	1.353233410	1.400863568
-15	25	1.58588833272453	0.1257530774	1.351295884	1.396708530
-10	25	1.54730374150324	0.2558289596	1.345725490	1.384762782
-5	25	1.51191599133020	0.3804927681	1.336964096	1.365973912
0	25	1.47974426818215	0.5000000000	1.325366950	1.341103753
5	25	1.45067617471512	0.6146666184	1.311164009	1.310645446
10	25	1.42451750593797	0.7247948558	1.294483966	1.274874979
15	25	1.40109712431961	0.8306388452	1.275405450	1.233960969
20	25	1.38030100967010	0.9324004271	1.253978352	1.188010410
25	25	1.36207045369295	1.030228994	1.230228994	1.137079746
30	25	1.34638819766373	1.124216307	1.204159883	1.081174358
35	25	1.33327215096431	1.214390301	1.175752759	1.020255085
40	25	1.32276612055819	1.300705650	1.144971208	0.9542438348
45	25	1.31493819674658	1.383037455	1.111767128	0.8830374550

-45	30	1.82773122505772	-0.6965309556	1.390817469	1.196530956
-40	30	1.77142219473916	-0.5413462730	1.416507943	1.241028162
-35	30	1.71834961390032	-0.3909855698	1.434654700	1.272459266
-30	30	1.66862197490041	-0.2462304329	1.446230433	1.292509024
-25	30	1.62224417769533	-0.1074551429	1.452109437	1.302691758
-20	30	1.57916612017756	0.02526069243	1.453058468	1.304335528
-15	30	1.53933237864781	0.1520421907	1.449744879	1.298596223
-10	30	1.50272850508237	0.2731574425	1.442754235	1.286488072
-5	30	1.46943708773467	0.3889827671	1.432618681	1.268932779
0	30	1.43962084044675	0.5000000000	1.419810420	1.246748220
5	30	1.41296454871618	0.6067506841	1.404463112	1.220165903
10	30	1.38907186553717	0.7096856575	1.386577121	1.189186457
15	30	1.36770024064401	0.8091612872	1.366149992	1.153805631
20	30	1.34873116649756	0.9054644359	1.343170730	1.114004382
25	30	1.33212730166462	0.9988198395	1.317604630	1.069722598
30	30	1.31790396252555	1.089384570	1.289384570	1.020844020
35	30	1.30612120768824	1.177240033	1.258412605	0.9671990026
40	30	1.29687693262543	1.262380625	1.224563047	0.9085698490
45	30	1.29030316176417	1.344701701	1.187688755	0.8447017012

-45	35	1.77428208194928	-0.6243399762	1.487271327	1.124339976
-40	35	1.71826993349220	-0.4733053774	1.512198858	1.159940180
-35	35	1.66627157494108	-0.3290414452	1.529041445	1.183993888
-30	35	1.61816160918869	-0.1918208152	1.539036848	1.198268802
-25	35	1.57373654317438	-0.06155789521	1.543235286	1.204264793
-20	35	1.53276767348587	0.06206022172	1.542510472	1.203229652
-15	35	1.49505202334016	0.1794792889	1.537587962	1.196199579
-10	35	1.46046795044332	0.2912186538	1.529086234	1.184057853
-5	35	1.42910592011116	0.3978429633	1.517604525	1.167660272
0	35	1.40219870776164	0.5000000000	1.504268138	1.148613938
5	35	1.37834737882169	0.5985286547	1.488565101	1.126187677
10	35	1.35685991753823	0.6939700492	1.470269474	1.100058814
15	35	1.33752192362388	0.7867482010	1.449333297	1.070158855
20	35	1.32026863791870	0.8772249145	1.425706950	1.036416935
25	35	1.30510661527371	0.9657024246	1.399298720	0.9987020725
30	35	1.29209403716858	1.052415497	1.369966771	0.9568117083
35	35	1.28133745966485	1.137520243	1.337520243	0.9104732643
40	35	1.27299222335420	1.221080054	1.301723169	0.8593497449
45	35	1.26725993570871	1.303046494	1.262299209	0.8030464944

-45	40	1.71979501287604	-0.5458424353	1.577566002	1.045842435
-40	40	1.66496104513029	-0.4002714146	1.600271415	1.072901693
-35	40	1.61482424897117	-0.2633017289	1.614709089	1.090107843
-30	40	1.56899120039961	-0.1346283012	1.622345415	1.099208462
-25	40	1.52702964872172	-0.01368432917	1.624351817	1.101599599
-20	40	1.48852287925250	0.1002223381	1.621650336	1.098380099
-15	40	1.45307329426539	0.2078320598	1.614942153	1.090385597
-10	40	1.42031392538809	0.3098786344	1.604743943	1.078231845
-5	40	1.38981437277345	0.4070628459	1.591355846	1.062276532
0	40	1.36768493315271	0.5000000000	1.579130929	1.047707443
5	40	1.34707335748992	0.5900790542	1.563943946	1.029608301
10	40	1.32802216271527	0.6777673109	1.545953832	1.008168519
15	40	1.31063884107147	0.7635287925	1.525256873	0.9835028427
20	40	1.29496904520731	0.8477942491	1.501807397	0.9555568461
25	40	1.28107137857568	0.9309453273	1.475466709	0.9241652367
30	40	1.26904327441230	1.013304840	1.446018362	0.8890700630
35	40	1.25903152907452	1.095124171	1.413172089	0.8499253989
40	40	1.25124180058660	1.176566716	1.376566716	0.8063008139
45	40	1.24594411891081	1.257684039	1.335772398	0.7576840390

-45	45	1.66436308450800	-0.4609204749	1.660920475	0.9609204749
-40	45	1.61169135493343	-0.3224035584	1.680102395	0.9801023953
-35	45	1.56424732088904	-0.1940762556	1.691243621	0.9912436210
-30	45	1.52135461809375	-0.07501799649	1.695960385	0.9959603852
-25	45	1.48235096306107	0.03580829897	1.695462315	0.9954623153
-20	45	1.44667197981497	0.1394263121	1.690668066	0.9906680657
-15	45	1.41376128080350	0.2368187411	1.682205830	0.9822058298
-10	45	1.38409906098366	0.3287536860	1.671186107	0.9711861074
-5	45	1.35891056510846	0.4160929998	1.659061400	0.9590614004
0	45	1.33826560358347	0.5000000000	1.646296683	0.9462966833
5	45	1.31980101484887	0.5814921503	1.631459540	0.9314595397
10	45	1.30281286327822	0.6611892580	1.614149709	0.9141497087
15	45	1.28718541719604	0.7396183027	1.594267680	0.8942676801
20	45	1.27293491826660	0.8172708426	1.571694476	0.8716944759
25	45	1.26013021228597	0.8946042478	1.546231540	0.8462315403
30	45	1.24888622301614	0.9720346231	1.517587950	0.8175879502
35	45	1.23937307379369	1.049925457	1.485374945	0.7853749449
40	45	1.23183041257628	1.128570546	1.449101206	0.7491012062
45	45	1.22658295997792	1.208168002	1.408168002	0.7081680021


### +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	1.90161308511495	1.597896827	-0.3978968266	1.097896827
45	-40	1.83470964080833	1.615724365	-0.2362039032	1.115724365
45	-35	1.77350396128983	1.623846891	-0.08692606491	1.123846891
45	-30	1.71750433685816	1.624370519	0.05084437843	1.124370519
45	-25	1.66617128875300	1.618905556	0.1782457704	1.118905556
45	-20	1.61897050437542	1.608656558	0.2964820128	1.108656558
45	-15	1.57540099387674	1.594504469	0.4067284113	1.094504469
45	-10	1.53501251634815	1.577078132	0.5100820651	1.077078132
45	-5	1.49740722841762	1.556806467	0.6075414146	1.056806467
45	0	1.46224546445433	1.533963684	0.7000000000	1.033963684
45	5	1.42924046970198	1.508697262	0.7882495754	1.008697262
45	10	1.39816065205959	1.481052758	0.8729860707	0.9810527581
45	15	1.36882578460498	1.450987047	0.9548162113	0.9509870470
45	20	1.34110869779173	1.418379272	1.034262719	0.9183792719
45	25	1.31493822592490	1.383037475	1.111767137	0.8830374746
45	30	1.29030318927180	1.344701719	1.187688765	0.8447017192
45	35	1.26725993687944	1.303046495	1.262299209	0.8030464951
45	40	1.24594411267439	1.257684035	1.335772394	0.7576840352
45	45	1.22658296737982	1.208168006	1.408168006	0.7081680064

50	-45	1.91538975939887	1.664787591	-0.4647875913	0.9773728382
50	-40	1.84519544042380	1.689044823	-0.2977270725	0.9977270725
50	-35	1.78023149359555	1.701768127	-0.1414871016	1.008403192
50	-30	1.72025571055257	1.705181796	0.004187965508	1.011267601
50	-25	1.66492330260467	1.701076118	0.1399290082	1.007822527
50	-20	1.61384400073936	1.690854476	0.2665644175	0.9992455514
50	-15	1.56662216051448	1.675592619	0.3850009070	0.9864393334
50	-10	1.52288114993054	1.656095791	0.4961491197	0.9700795520
50	-5	1.48227526800227	1.632947149	0.6008799681	0.9506555351
50	0	1.44450284763066	1.606553379	0.7000000000	0.9285085326
50	5	1.40930561071589	1.577174266	0.7942405369	0.9038565295
50	10	1.37647550251956	1.544951889	0.8842532117	0.8768187451
50	15	1.34585207448805	1.509926838	0.9706090808	0.8474292376
50	20	1.31732728759775	1.472054979	1.053799078	0.8156509745
50	25	1.29084805166053	1.431218131	1.134234146	0.7813847905
50	30	1.26641905564264	1.387231580	1.212243392	0.7444756917
50	35	1.24410815668701	1.339851185	1.288070131	0.7047188194
50	40	1.22405381594674	1.288780864	1.361865732	0.6618657317
50	45	1.20646943998534	1.233678681	1.433678681	0.6156295109

55	-45	1.92725458509714	1.721276705	-0.5212767048	0.8551471549
55	-40	1.85446926377941	1.751883287	-0.3504548043	0.8765781144
55	-35	1.78639443276905	1.769348959	-0.1888077097	0.8888077097
55	-30	1.72301302358049	1.775912578	-0.03664847062	0.8934036055
55	-25	1.66417163587030	1.773468115	0.1061720654	0.8916919741
55	-20	1.60963375423200	1.763569878	0.2400981756	0.8847611535
55	-15	1.55912414097958	1.747464042	0.3657430173	0.8734837261
55	-10	1.51235573068153	1.726125283	0.4838010308	0.8585421662
55	-5	1.46904965732854	1.700296562	0.5949876579	0.8404567010
55	0	1.42895264124161	1.670529477	0.7000000000	0.8196135637
55	5	1.39184213441278	1.637213654	0.7994933028	0.7962855733
55	10	1.35753559989521	1.600606615	0.8940666415	0.7706530488
55	15	1.32589115679671	1.560853013	0.9842547080	0.7428172764
55	20	1.29681347955607	1.518004528	1.070523346	0.7128144443
55	25	1.27025598264531	1.472033447	1.153266641	0.6806251473
55	30	1.24622323889119	1.422843812	1.232804123	0.6461821934
55	35	1.22477445634428	1.370281587	1.309377727	0.6093777273
55	40	1.20602727897923	1.314144199	1.383148097	0.5700699056
55	45	1.19015748897305	1.254187655	1.454187655	0.5280878813

60	-45	1.93727687553802	1.768245418	-0.5682454177	0.7322218333
60	-40	1.86248402677143	1.804824528	-0.3948777799	0.7533407923
60	-35	1.79188106802623	1.826910222	-0.2291125400	0.7660919739
60	-30	1.72564060651452	1.836675466	-0.07172994018	0.7717299402
60	-25	1.66378432104078	1.836049253	0.07699000162	0.7713683959
60	-20	1.60622776802302	1.826687494	0.2171252418	0.7659633821
60	-15	1.55282084275271	1.809975227	0.3489931959	0.7563145498
60	-10	1.50337463223765	1.787041223	0.4730599071	0.7430735965
60	-5	1.45768626284696	1.758785351	0.5898705520	0.7267600611
60	0	1.41555804216021	1.725909225	0.7000000000	0.7077790211
60	5	1.37680603272196	1.688941207	0.8040188772	0.6864355259
60	10	1.34127439971040	1.648266977	0.9024704490	0.6629522480
60	15	1.30883648971931	1.604147581	0.9958554527	0.6374799032
60	20	1.27940267461110	1.556741492	1.084622449	0.6101099851
60	25	1.25292266010259	1.506119822	1.169161378	0.5808835498
60	30	1.22938771549012	1.452279630	1.249798901	0.5497989005
60	35	1.20883439906849	1.395156911	1.326795617	0.5168190833
60	40	1.19134443072467	1.334635579	1.400342406	0.4818770762
60	45	1.17704359848767	1.270555912	1.470555912	0.4448806634

65	-45	1.94554650214828	1.806518007	-0.6065180067	0.6092393521
65	-40	1.86922566269880	1.848459895	-0.4314922008	0.6287971759
65	-35	1.79661101891406	1.874814231	-0.2626552884	0.6410864046
65	-30	1.72802685703485	1.887637185	-0.1011527023	0.6470658461
65	-25	1.66364609177451	1.888840255	0.05237315323	0.6476268468
65	-20	1.60352477512510	1.880136732	0.1976713102	0.6435683275
65	-15	1.54763339544953	1.863017004	0.3347806945	0.6355852672
65	-10	1.49588189722019	1.838742693	0.4639435430	0.6242659701
65	-5	1.44814617460956	1.808359661	0.5855333618	0.6100981298
65	0	1.40428624690046	1.772715561	0.7000000000	0.5934770127
65	5	1.36415808998434	1.732478771	0.8078279205	0.5747142892
65	10	1.32763050456553	1.688165750	0.9095056794	0.5540507886
65	15	1.29458881053410	1.640157978	1.005504409	0.5316643964
65	20	1.26494319741884	1.588723167	1.096262826	0.5076799502
65	25	1.23863217189227	1.534031354	1.182176739	0.4821767392
65	30	1.21562511885165	1.476169213	1.263591558	0.4551951799
65	35	1.19592710032135	1.415155022	1.340798445	0.4267437953
65	40	1.17957712818680	1.350947257	1.414029530	0.3968032227
65	45	1.16664786546175	1.283454131	1.483454131	0.3653306610

70	-45	1.95215776572046	1.836820222	-0.6368202223	0.4865627695
70	-40	1.87470156655900	1.883341110	-0.4607610152	0.5034949879
70	-35	1.80053086854094	1.913424988	-0.2896908312	0.5144446239
70	-30	1.73008490534615	1.928989122	-0.1250272544	0.5201095056
70	-25	1.66366129642393	1.931895597	0.03229611744	0.5211673759
70	-20	1.60143718935171	1.923880228	0.1817499797	0.5182500203
70	-15	1.54349166943959	1.906507841	0.3231273600	0.5119269882
70	-10	1.48982659065992	1.881148248	0.4564662995	0.5026968513
70	-5	1.44039337012465	1.848975910	0.5819799005	0.4909870780
70	0	1.39510707453837	1.810971823	0.7000000000	0.4771547216
70	5	1.35386167190617	1.767936120	0.8109300366	0.4614910066
70	10	1.31654833369454	1.720510116	0.9152088636	0.4442293527
70	15	1.28305975989561	1.669189085	1.013283271	0.4255500251
70	20	1.25330210753495	1.614344105	1.105588085	0.4055880848
70	25	1.22719842039755	1.556236638	1.192531233	0.3844386966
70	30	1.20469254193507	1.495033557	1.274482892	0.3621625970
70	35	1.18575497633863	1.430823093	1.351769347	0.3387918994
70	40	1.17038194886434	1.363624106	1.424666669	0.3143334681
70	45	1.15859612743941	1.293396292	1.493396292	0.2887726343

75	-45	1.95719870691282	1.859757129	-0.6597571288	0.3643458246
75	-40	1.87892988538354	1.909948207	-0.4830870201	0.3777944833
75	-35	1.80360411500153	1.943073852	-0.3104511894	0.3866704733
75	-30	1.73174668295891	1.960918859	-0.1434618965	0.3914520285
75	-25	1.66375050417810	1.965282563	0.01672751963	0.3926212794
75	-20	1.59988982601698	1.957900699	0.1693675409	0.3906433150
75	-15	1.54033420221972	1.940386732	0.3140495384	0.3859504616
75	-10	1.48516449659568	1.914193570	0.4506395177	0.3789320249
75	-5	1.43439687010599	1.880599956	0.5792131550	0.3699306433
75	0	1.38799530500503	1.840700512	0.7000000000	0.3592396194
75	5	1.34588654678824	1.795409204	0.8133336199	0.3471038500
75	10	1.30798030182940	1.745476401	0.9196110933	0.3337243958
75	15	1.27417425603338	1.691497072	1.019260678	0.3192606783
75	20	1.24436769706430	1.633930916	1.112717101	0.3038358732
75	25	1.21846736842824	1.573117023	1.200402686	0.2875408397
75	30	1.19639228400375	1.509288522	1.282713000	0.2704380444
75	35	1.17808059730779	1.442588948	1.360007887	0.2525659474
75	40	1.16349099267300	1.373083158	1.432603756	0.2339419272
75	45	1.15260382980192	1.300767581	1.500767581	0.2145650267

80	-45	1.96074363469753	1.875802522	-0.6758025216	0.2425911047
80	-40	1.88193047923001	1.928668223	-0.4987949790	0.2519127542
80	-35	1.80581043839274	1.964040365	-0.3251320996	0.2581498172
80	-30	1.73296535844883	1.983594180	-0.1565534989	0.2615976823
80	-25	1.66385562034677	1.989071135	0.005634726372	0.2625634172
80	-20	1.59882606231257	1.982196538	0.1605245789	0.2613512403
80	-15	1.53811387476485	1.964612678	0.3075582156	0.2582507315
80	-10	1.48186022468455	1.937830490	0.4464716909	0.2535283091
80	-5	1.43013181418651	1.903206205	0.5772353645	0.2474231134
80	0	1.38293068231909	1.861920858	0.7000000000	0.2401433928
80	5	1.34020817424032	1.814975590	0.8150454569	0.2318656754
80	10	1.30188815652199	1.763205838	0.9227372713	0.2227372713
80	15	1.26787139092433	1.707284158	1.023490815	0.2128767704
80	20	1.23805021385075	1.647738196	1.117742540	0.2023772108
80	25	1.21231736341717	1.584966009	1.205927959	0.1913087805
80	30	1.19057124913095	1.519249789	1.288464140	0.1797212378
80	35	1.17272422520968	1.450772886	1.365738342	0.1676469124
80	40	1.15870553366451	1.379631737	1.438098666	0.1551028083
80	45	1.14846378612120	1.305846999	1.505846999	0.1420925682

85	-45	1.96284808554364	1.885294869	-0.6852948692	0.1211975967
85	-40	1.88372236647031	1.939785127	-0.5081231691	0.1259648765
85	-35	1.80713796936231	1.976533813	-0.3338801064	0.1291799700
85	-30	1.73370871917651	1.997144615	-0.1643768462	0.1309831814
85	-25	1.66393499012484	2.003318835	-0.001009085506	0.1315233557
85	-20	1.59820438658294	1.996771133	0.1552198600	0.1309505061
85	-15	1.53679583254054	1.979158455	0.3036606864	0.1294095964
85	-10	1.47988825280628	1.952025861	0.4439686640	0.1270358020
85	-5	1.42758040269492	1.916777201	0.5760480562	0.1239519438
85	0	1.37989846406043	1.874647534	0.7000000000	0.1202660756
85	5	1.33680903762777	1.826692747	0.8160705754	0.1160705754
85	10	1.29824477550441	1.773802251	0.9246057050	0.1114432565
85	15	1.26410799532789	1.716697749	1.026013179	0.1064472599
85	20	1.23428627812099	1.655949819	1.120731326	0.1011325048
85	25	1.20866259492516	1.591992929	1.209204666	0.09553700198
85	30	1.18712192046105	1.525139443	1.291864533	0.08968807976
85	35	1.16956016907848	1.455596731	1.369116035	0.08360388087
85	40	1.15588796745106	1.383479611	1.441327416	0.07729445044
85	45	1.14603433465826	1.308822392	1.508822392	0.07076279011

90	-45	1.96354515943630	1.888436097	-0.6884360974	0.000000000
90	-40	1.88431763421482	1.943471053	-0.5112160280	0.000000000
90	-35	1.80758047210150	1.980683239	-0.3367855656	0.000000000
90	-30	1.73395794574938	2.001651630	-0.1669789729	0.000000000
90	-25	1.66396361562236	2.008063182	-0.003221410834	0.000000000
90	-20	1.59799939368733	2.001628238	0.1534520183	0.000000000
90	-15	1.53635830521150	1.984008165	0.3023612105	0.000000000
90	-10	1.47923213134491	1.956759271	0.4431340360	0.000000000
90	-5	1.42673060758620	1.921301467	0.5756522342	0.000000000
90	0	1.37888819529339	1.878888195	0.7000000000	0.000000000
90	5	1.33567666980676	1.830594017	0.8164118922	0.000000000
90	10	1.29703165477826	1.777326830	0.9252271832	0.000000000
90	15	1.26285594393105	1.719825171	1.026851170	0.000000000
90	20	1.23303543012555	1.658674295	1.121722955	0.000000000
90	25	1.20744965262325	1.594321023	1.210290273	0.000000000
90	30	1.18597890054694	1.527087856	1.292989450	0.000000000
90	35	1.16851339481075	1.457190136	1.370231749	0.000000000
90	40	1.15495740143189	1.384748699	1.442392307	0.000000000
90	45	1.14523331796445	1.309802245	1.509802245	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	1.22658304024390	1.208168048	1.408168048	0.7081680485
40	45	1.23183047848027	1.128570579	1.449101246	0.7491012463
35	45	1.23937312452022	1.049925479	1.485374977	0.7853749770
30	45	1.24888628332760	0.9720346459	1.517587990	0.8175879897
25	45	1.26013031723623	0.8946042807	1.546231611	0.8462316108
20	45	1.27293517835019	0.8172709074	1.571694654	0.8716946540
15	45	1.28718593088197	0.7396183983	1.594268037	0.8942680370
10	45	1.30281357985583	0.6611893467	1.614150211	0.9141502115
5	45	1.31980199051874	0.5814922105	1.631460228	0.9314602283
0	45	1.33826775327715	0.5000000000	1.646298203	0.9462982034
-5	45	1.35892213791847	0.4160922853	1.659069568	0.9590695679
-10	45	1.38407998236399	0.3287560465	1.671172720	0.9711727205
-15	45	1.41382288434145	0.2368072732	1.682248629	0.9822486286
-20	45	1.44663157797279	0.1394363820	1.690640399	0.9906403989
-25	45	1.48234542196017	0.03581003414	1.695458594	0.9954585942
-30	45	1.52135157473190	-0.07501684621	1.695958393	0.9959583928
-35	45	1.56424658738057	-0.1940759302	1.691243156	0.9912431562
-40	45	1.61169134923121	-0.3224035555	1.680102392	0.9801023919
-45	45	1.66436332741976	-0.4609206151	1.660920615	0.9609206151

45	50	1.20646953564757	1.233678740	1.433678740	0.6156295597
40	50	1.20950999476707	1.154001652	1.479408818	0.6540016519
35	50	1.21525407435692	1.074431265	1.520372866	0.6883745693
30	50	1.22339559947652	0.9948411889	1.557090081	0.7191839708
25	50	1.23369673585560	0.9150087595	1.589989157	0.7467895732
20	50	1.24597914434067	0.8346368645	1.619407229	0.7714742668
15	50	1.26010874492146	0.7533687584	1.645585079	0.7934400915
10	50	1.27597537605692	0.6708003961	1.668657181	0.8127998834
5	50	1.29344087628184	0.5864926399	1.688615398	0.8295468156
0	50	1.31220775077277	0.5000000000	1.705209456	0.8434708835
-5	50	1.33180294759924	0.4109420810	1.717936672	0.8541502858
-10	50	1.35805412561255	0.3182126498	1.730967294	0.8650842764
-15	50	1.39297563527667	0.2199158337	1.745288339	0.8771010596
-20	50	1.42960400703689	0.1160463804	1.754903900	0.8851694734
-25	50	1.46867173154915	0.005946951437	1.759500182	0.8890262117
-30	50	1.51102100884952	-0.1111804169	1.758595535	0.8882671227
-35	50	1.55733721211956	-0.2361285213	1.751300480	0.8821458453
-40	50	1.60822496777777	-0.3695932982	1.736340937	0.8695932982
-45	50	1.66422287579669	-0.5120478849	1.712047885	0.8492090070

45	55	1.19015753999819	1.254187687	1.454187687	0.5280879040
40	55	1.19115641949625	1.174724574	1.504105435	0.5630406869
35	55	1.19518002336561	1.094653230	1.549252825	0.5946532299
30	55	1.20196331762635	1.013881455	1.590068789	0.6232328758
25	55	1.21129608824411	0.9322279258	1.626915778	0.6490334151
20	55	1.22302020658186	0.8494392577	1.660076470	0.6722527816
15	55	1.23702071888667	0.7652019824	1.689747273	0.6930285013
10	55	1.25321726413211	0.6791538030	1.716031706	0.7114330596
5	55	1.27155080922548	0.5908944962	1.738928846	0.7274658096
0	55	1.29198875681795	0.5000000000	1.758335231	0.7410543069
-5	55	1.31468351763548	0.4060222406	1.774170705	0.7521424253
-10	55	1.34079689579337	0.3083262417	1.787035901	0.7611507320
-15	55	1.37734337998863	0.2047145700	1.802020227	0.7716428705
-20	55	1.41604033857964	0.09541135774	1.811598159	0.7783494102
-25	55	1.45755068548791	-0.02009918601	1.815356304	0.7809808917
-30	55	1.50262018482182	-0.1424228058	1.812708940	0.7791271874
-35	55	1.55181588322080	-0.2720948385	1.802665705	0.7720948385
-40	55	1.60560216432341	-0.4094852852	1.783882356	0.7589425962
-45	55	1.66435182369578	-0.5546785705	1.754678571	0.7384938855

45	60	1.17704362871986	1.270555932	1.470555932	0.4448806748
40	60	1.17622514582319	1.191454401	1.524043266	0.4757616014
35	60	1.17867406093756	1.111157108	1.572822805	0.5039244814
30	60	1.18417860654910	1.029580772	1.617260804	0.5295807723
25	60	1.19257156588038	0.9465626944	1.657656789	0.5529034047
20	60	1.20373248850020	0.8618739794	1.694240587	0.5740250706
15	60	1.21758621200782	0.7752288179	1.727167932	0.5930356822
10	60	1.23410607199532	0.6862929842	1.756520014	0.6099821147
5	60	1.25332883931864	0.5946900693	1.782312445	0.6248733812
0	60	1.27540416517358	0.5000000000	1.804532407	0.6377020826
-5	60	1.30074533459737	0.4017275738	1.823258971	0.6485138695
-10	60	1.33032585275630	0.2991822756	1.838893909	0.6575407052
-15	60	1.36578736591536	0.1912711079	1.852191911	0.6652183100
-20	60	1.40528508828629	0.07753395211	1.860715927	0.6701396529
-25	60	1.44855994639335	-0.04241846040	1.863220142	0.6715854622
-30	60	1.49583676338494	-0.1689585372	1.858670175	0.6689585372
-35	60	1.54743066047668	-0.3023619743	1.845891654	0.6615808551
-40	60	1.60362457660298	-0.4427049526	1.823472014	0.6486368697
-45	60	1.66462119731567	-0.5897503772	1.789750377	0.6291676736

45	65	1.16664788232312	1.283454142	1.483454142	0.3653306663
40	65	1.16426989775358	1.204763654	1.539904617	0.3916539551
35	65	1.16533662264803	1.124407538	1.591746380	0.4158281663
30	65	1.16969164813639	1.042295752	1.639283796	0.4379952273
25	65	1.17721637114657	0.9582686968	1.682760392	0.4582686968
20	65	1.18783422464341	0.8721072596	1.722356293	0.4767325689
15	65	1.20151296825035	0.7835398442	1.758185105	0.4934398180
10	65	1.21827331179312	0.6922486542	1.790296298	0.5084135133
5	65	1.23820819123260	0.5978723913	1.818686551	0.5216521060
0	65	1.26151748671148	0.5000000000	1.843323122	0.5331403274
-5	65	1.28856981600772	0.3981468463	1.864186874	0.5428692549
-10	65	1.31991245054092	0.2917122620	1.881258462	0.5508298669
-15	65	1.35599358508229	0.1800049437	1.894237808	0.5568822356
-20	65	1.39651165884289	0.06252133881	1.901962743	0.5604844319
-25	65	1.44129942809045	-0.06107137719	1.903221451	0.5610713772
-30	65	1.49040957724128	-0.1909879065	1.896826161	0.5580892046
-35	65	1.54398270581814	-0.3272926646	1.881496370	0.5509408054
-40	65	1.60214352376074	-0.4698202512	1.855786769	0.5389522213
-45	65	1.66494353509600	-0.6180810669	1.818081067	0.5213697639

45	70	1.15859613785338	1.293396299	1.493396299	0.2887726368
40	70	1.15493442091745	1.215102006	1.552225385	0.3101846729
35	70	1.15484223815067	1.134777662	1.606556452	0.3299595643
30	70	1.15821430323186	1.052318770	1.656644171	0.3481900031
25	70	1.16497872859860	0.9675596059	1.702684811	0.3649474254
20	70	1.17510098537636	0.8802809836	1.744813415	0.3802809836
15	70	1.18858748798404	0.7902160817	1.783101162	0.3942165837
10	70	1.20549330837373	0.6970553138	1.817556218	0.4067571986
5	70	1.22593546601854	0.6004482725	1.848129008	0.4178847840
0	70	1.25010561211063	0.5000000000	1.874715019	0.4275613006
-5	70	1.27828158984884	0.3952626945	1.897152880	0.4357280141
-10	70	1.31078164449345	0.2857337851	1.915164089	0.4422835581
-15	70	1.34782717828271	0.1709025406	1.928208439	0.4470313133
-20	70	1.38942460899547	0.05036055330	1.935374227	0.4496394467
-25	70	1.43553145742506	-0.07614487380	1.935546669	0.4497022106
-30	70	1.48615352618449	-0.2087034628	1.927510405	0.4467772497
-35	70	1.54132477247553	-0.3472140199	1.909947014	0.4403846981
-40	70	1.60105048219317	-0.4913241746	1.881414146	0.4299995837
-45	70	1.66526141903357	-0.6403561636	1.840356164	0.4150557000

45	75	1.15260383444079	1.300767584	1.500767584	0.2145650275
40	75	1.14794193818472	1.222813138	1.561415154	0.2308154949
35	75	1.14693392970771	1.142558278	1.617668323	0.2458884861
30	75	1.14951706169782	1.059882026	1.669744115	0.2598421524
25	75	1.15565936327548	0.9746085652	1.717801353	0.2727190505
20	75	1.16536196376023	0.8865134177	1.761936887	0.2845451314
15	75	1.17866270873276	0.7953290369	1.802182971	0.2953290369
10	75	1.19564011723570	0.7007490732	1.838504569	0.3050613799
5	75	1.21642079947357	0.6024316447	1.870799056	0.3137146617
0	75	1.24117699294563	0.5000000000	1.898884912	0.3212402441
-5	75	1.27012274752243	0.3930462533	1.922486918	0.3275643825
-10	75	1.30347379079265	0.2811455540	1.941185241	0.3325745829
-15	75	1.34139127148698	0.1638972376	1.954352586	0.3361027624
-20	75	1.38394165429425	0.04099066617	1.961117780	0.3379154907
-25	75	1.43113146866550	-0.08774001623	1.960412532	0.3377265202
-30	75	1.48294548025389	-0.2222811624	1.951027671	0.3352118541
-35	75	1.53935096782325	-0.3624060033	1.931643415	0.3300178583
-40	75	1.60026800033547	-0.5076247734	1.900840444	0.3217642271
-45	75	1.66553778129502	-0.6571266951	1.857126695	0.3100511635

45	80	1.14846378860455	1.305847000	1.505847000	0.1420925685
40	80	1.14308776227170	1.228150102	1.567775500	0.1530122338
35	80	1.14141888599021	1.147966760	1.625392437	0.1631716544
30	80	1.14342603466047	1.065161655	1.678888702	0.1726044892
25	80	1.14910737299905	0.9795489739	1.728396093	0.1813339781
20	80	1.15849092972201	0.8908976698	1.773982521	0.1893720953
15	80	1.17163764617595	0.7989372738	1.815649094	0.1967190363
10	80	1.18864184024845	0.7033622003	1.853324350	0.2033622003
5	80	1.20963391775186	0.6038367691	1.886859702	0.2092753878
0	80	1.23477138275168	0.5000000000	1.916012431	0.2144158005
-5	80	1.26423120875542	0.3914765185	1.940429070	0.2187211127
-10	80	1.29818313373167	0.2778966131	1.959610900	0.2221033869
-15	80	1.33676062543254	0.1589324538	1.972881411	0.2244433361
-20	80	1.38003702300420	0.03434831238	1.979367497	0.2255870080
-25	80	1.42802901298574	-0.09594939863	1.978017610	0.2253489864
-30	80	1.48070458209742	-0.2318684615	1.967633360	0.2235179630
-35	80	1.53798805026619	-0.3730932581	1.946906396	0.2198632401
-40	80	1.59974241112489	-0.5190403903	1.914445046	0.2141394282
-45	80	1.66574849215763	-0.6688121462	1.868812146	0.2060931168

45	85	1.14603433570734	1.308822393	1.508822393	0.07076279017
40	85	1.14023038348056	1.231285443	1.571512053	0.07624742480
35	85	1.13816275508389	1.151153288	1.629943270	0.08135949385
30	85	1.13981970405728	1.068281021	1.684291601	0.08611435672
25	85	1.14521804345798	0.9824757326	1.734672548	0.09052211837
20	85	1.15440246669511	0.8935013211	1.781135994	0.09458714322
15	85	1.16744801597423	0.8010845914	1.823662992	0.09830777346
10	85	1.18445819187014	0.7049198057	1.862157969	0.1016756475
5	85	1.20556521863791	0.6046751216	1.896442115	0.1046751216
0	85	1.23091828609135	0.5000000000	1.926234270	0.1072815975
-5	85	1.26067654046711	0.3905397500	1.951136382	0.1094602500
-10	85	1.29498841708398	0.2759576685	1.970607201	0.1111637259
-15	85	1.33397283356417	0.1559686941	1.983942313	0.1123303970
-20	85	1.37769949708500	0.03038339075	1.990261030	0.1128832131
-25	85	1.42618324000432	-0.1008452342	1.988516763	0.1127306095
-30	85	1.47938001604922	-0.2375759368	1.977518997	0.1117684297
-35	85	1.53718906617577	-0.3794398780	1.955970309	0.1098831637
-40	85	1.59944056157453	-0.5257993611	1.922500074	0.1069548976
-45	85	1.66588048016138	-0.6757077376	1.875707738	0.1028610987

45	90	1.14523331862065	1.309802246	1.509802246	0.000000000
40	90	1.13928678975668	1.232319432	1.572744314	0.000000000
35	90	1.13708583106051	1.152205639	1.631446183	0.000000000
30	90	1.13862522159650	1.069312611	1.686078367	0.000000000
25	90	1.14392807879728	0.9834448962	1.736750926	0.000000000
20	90	1.15304473782983	0.8943645265	1.783507632	0.000000000
15	90	1.16605499365453	0.8017972400	1.826322633	0.000000000
10	90	1.18306543129033	0.7054371562	1.865092009	0.000000000
5	90	1.20420883051620	0.6049537150	1.899626452	0.000000000
0	90	1.22963176461744	0.5000000000	1.929631765	0.000000000
-5	90	1.25948811517771	0.3902283778	1.954695383	0.000000000
-10	90	1.29391999616480	0.2753131506	1.974262444	0.000000000
-15	90	1.33304162054968	0.1549834407	1.987619329	0.000000000
-20	90	1.37692053377594	0.02906544169	1.993882065	0.000000000
-25	90	1.42556983227726	-0.1024718445	1.992005040	0.000000000
-30	90	1.47894104079842	-0.2394705204	1.980800512	0.000000000
-35	90	1.53692508942383	-0.3815440157	1.958975329	0.000000000
-40	90	1.59934142442588	-0.5280368513	1.925166611	0.000000000
-45	90	1.66592464857795	-0.6779866160	1.877986616	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	1.66592464223893	-0.6779866115	1.877986611	1.442617533e-16
-90	40	1.73631464143106	-0.8300941826	1.816081538	1.628895583e-16
-90	35	1.81005457267287	-0.9827099035	1.738204651	1.815795937e-16
-90	30	1.88657258398807	-1.133819784	1.643286292	2.000852169e-16
-90	25	1.96518609301419	-1.281063459	1.530523531	2.181173664e-16
-90	20	2.04509885332705	-1.421764301	1.399465003	2.353482500e-16
-90	15	2.12540894396988	-1.552987390	1.250096313	2.514184436e-16
-90	10	2.20511267246287	-1.671612056	1.082913797	2.659457754e-16
-90	5	2.28308913952417	-1.774401296	0.8989843297	2.785338267e-16
-90	-2.84217e-14	2.35807273516432	-1.858072735	0.7000000000	2.887806227e-16
-90	-5	2.42862055332855	-1.919378919	0.4883317718	2.962884649e-16
-90	-10	2.49345120385004	-1.955570077	0.2670167424	3.007206035e-16
-90	-15	2.55452342515492	-1.967480150	0.03884068641	3.021791668e-16
-90	-20	2.62618157688565	-1.967803449	-0.1982069993	3.022187594e-16
-90	-25	2.69024354935114	-1.938188678	-0.4369460525	2.985919960e-16
-90	-30	2.74407929171035	-1.876442377	-0.6720396459	2.910302550e-16
-90	-35	2.78797455510732	-1.783775056	-0.8991165100	2.796817813e-16
-90	-40	2.82215621214822	-1.661897084	-1.114047046	2.647560344e-16
-90	-45	2.84665823525536	-1.512891342	-1.312891342	2.465080939e-16

-85	45	1.66588047054245	-0.6757077308	1.875707731	0.1028610981
-85	40	1.73609425473634	-0.8269485629	1.813442050	0.1160929563
-85	35	1.80959155418080	-0.9785385305	1.735283825	0.1293553600
-85	30	1.88580179246824	-1.128484627	1.640206038	0.1424739436
-85	25	1.96405076674264	-1.274465065	1.527446649	0.1552455770
-85	20	2.04355748604957	-1.413859003	1.396587710	0.1674409664
-85	15	2.12344499292561	-1.543805396	1.247636005	0.1788098026
-85	10	2.20274549555202	-1.661273609	1.081090850	0.1890869395
-85	5	2.28038860983283	-1.763131790	0.8979983757	0.1979983757
-85	-2.84217e-14	2.35518121654276	-1.846219041	0.7000000000	0.2052675682
-85	-5	2.42569262304458	-1.907336216	0.4893853718	0.2106146282
-85	-10	2.48980997536970	-1.942933422	0.2692449257	0.2137289801
-85	-15	2.54480142946847	-1.949358901	0.04369626052	0.2142911367
-85	-20	2.62205625442356	-1.955642185	-0.1937806612	0.2148408528
-85	-25	2.68640669267677	-1.927093489	-0.4317722808	0.2123431656
-85	-30	2.74013932650619	-1.866248027	-0.6661539352	0.2070198774
-85	-35	2.78416793617250	-1.774822492	-0.8928478571	0.1990211796
-85	-40	2.81866313930919	-1.654388215	-1.107746356	0.1884845456
-85	-45	2.84359023157685	-1.506885294	-1.306885294	0.1755797123

-80	45	1.66574846895906	-0.6688121300	1.868812130	0.2060931139
-80	40	1.73543222507064	-0.8174540189	1.805475181	0.2323026894
-80	35	1.80820215890257	-0.9659794251	1.726489844	0.2584917258
-80	30	1.88349260688777	-1.112460777	1.630954664	0.2843203404
-80	25	1.96065425331818	-1.254691704	1.518226179	0.3093994902
-80	20	2.03895101088285	-1.390215703	1.387982252	0.3332960278
-80	15	2.11757688081167	-1.516385131	1.240288767	0.3555431021
-80	10	2.19566251543165	-1.630423948	1.075651222	0.3756512224
-80	5	2.27227372599976	-1.729492806	0.8950553459	0.3931197350
-80	-2.84217e-14	2.34643413575739	-1.810786529	0.7000000000	0.4074540117
-80	-5	2.41715422827496	-1.871645591	0.4925078969	0.4181851063
-80	-10	2.48366685066215	-1.909870962	0.2750747294	0.4249252706
-80	-15	2.54672739139411	-1.925028008	0.05021570368	0.4275978668
-80	-20	2.61369115057377	-1.923030288	-0.1819109016	0.4272456149
-80	-25	2.67512533482648	-1.894109122	-0.4163914179	0.4221460329
-80	-30	2.72829989176870	-1.835701530	-0.6485179072	0.4118471987
-80	-35	2.77272299721135	-1.747953773	-0.8740341774	0.3963749016
-80	-40	2.80814489746568	-1.631804243	-1.088796154	0.3758946056
-80	-45	2.83433052226063	-1.488775590	-1.288775590	0.3506747952

-75	45	1.66553772559888	-0.6571266564	1.857126656	0.3100511531
-75	40	1.73433336629683	-0.8014430387	1.792040374	0.3487206112
-75	35	1.80589178541673	-0.9449042301	1.711732834	0.3871609216
-75	30	1.87965922492227	-1.085699362	1.615503953	0.4248868635
-75	25	1.95502831016950	-1.221813989	1.502895049	0.4613586679
-75	20	2.03133570522244	-1.351056052	1.373729305	0.4959889743
-75	15	2.10788168240855	-1.471107830	1.228156751	0.5281567513
-75	10	2.18393476716632	-1.579572001	1.066684652	0.5572196383
-75	5	2.25874602927135	-1.674031981	0.8902031524	0.5825301135
-75	-2.84217e-14	2.33158440407006	-1.752137592	0.7000000000	0.6034584490
-75	-5	2.40181065053752	-1.811730977	0.4977497464	0.6194264485
-75	-10	2.46908168488185	-1.851092724	0.2854389186	0.6299733967
-75	-15	2.53376791510534	-1.869359637	0.06513199869	0.6348680013
-75	-20	2.59687899732406	-1.866407764	-0.1613019883	0.6340770494
-75	-25	2.65584775341303	-1.839033042	-0.3907090200	0.6267420146
-75	-30	2.70846708601839	-1.784889981	-0.6191818454	0.6122344251
-75	-35	2.75357165551658	-1.703148253	-0.8426610149	0.5903317953
-75	-40	2.79048704952985	-1.593980324	-1.057058118	0.5610803369
-75	-45	2.81871406432522	-1.458291986	-1.258291986	0.5247227562

-70	45	1.66526131622219	-0.6403560932	1.840356093	0.4150556744
-70	40	1.73280470126527	-0.7786355021	1.772902578	0.4653852632
-70	35	1.80267110973936	-0.9151050870	1.690867249	0.5150561300
-70	30	1.87433059519035	-1.048130975	1.593813835	0.5634735938
-70	25	1.94723310454273	-1.175962839	1.481514306	0.6100005870
-70	20	2.02081276558828	-1.296758163	1.353966489	0.6539664894
-70	15	2.09449835102054	-1.408613056	1.211411327	0.6946783413
-70	10	2.16771657923407	-1.509588213	1.054344622	0.7314302925
-70	5	2.23991082803570	-1.597750386	0.8835293777	0.7635186993
-70	-2.84217e-14	2.31055338512606	-1.671209966	0.7000000000	0.7902557999
-70	-5	2.37919586587601	-1.728195419	0.5050581607	0.8109968085
-70	-10	2.44553233024664	-1.767138145	0.3002423760	0.8251708017
-70	-15	2.50943776944231	-1.786726886	0.08727337771	0.8323005202
-70	-20	2.57068053107717	-1.785660159	-0.1319122637	0.8319122637
-70	-25	2.62817410051472	-1.762041517	-0.3548072824	0.8233157809
-70	-30	2.68054106596277	-1.714032394	-0.5782721987	0.8058418891
-70	-35	2.72661861659507	-1.640408116	-0.7987298980	0.7790448436
-70	-40	2.76550919253572	-1.540667498	-1.012323345	0.7427422274
-70	-45	2.79646923438932	-1.414997184	-1.214997184	0.6970019736

-65	45	1.66494334133167	-0.6180809368	1.818080937	0.5213697033
-65	40	1.73086103302511	-0.7486436143	1.747736396	0.5822520796
-65	35	1.79856043901087	-0.8763059791	1.663699821	0.6417820180
-65	30	1.86755111287608	-0.9996777154	1.565839333	0.6993112034
-65	25	1.93735908492922	-1.117340550	1.454178284	0.7541782843
-65	20	2.00753283775738	-1.227862178	1.328890402	0.8057153659
-65	15	2.07764084346076	-1.329800136	1.190293469	0.8532498165
-65	10	2.14727673538740	-1.421709892	1.038849303	0.8961080395
-65	5	2.21605752636161	-1.502146141	0.8751650901	0.9336160783
-65	-2.84217e-14	2.28363178299029	-1.569673268	0.7000000000	0.9651044946
-65	-5	2.34967774120619	-1.622868277	0.5142730916	0.9899097347
-65	-10	2.41391183287384	-1.660335541	0.3190745567	1.007381007
-65	-15	2.47605547667263	-1.680688093	0.1156863865	1.016871558
-65	-20	2.53570513926617	-1.682454465	-0.09434846281	1.017695230
-65	-25	2.59216827771084	-1.663986481	-0.3090834681	1.009083468
-65	-30	2.64452173651280	-1.623599343	-0.5260606522	0.9902506364
-65	-35	2.69177808516340	-1.559819727	-0.7423013004	0.9605097133
-65	-40	2.73298325110040	-1.471574852	-0.9543477309	0.9193604519
-65	-45	2.76722692596249	-1.358311690	-1.158311690	0.8665449721

-60	45	1.66462086164012	-0.5897501574	1.789750157	0.6291675467
-60	40	1.72852845482254	-0.7109775397	1.716130807	0.6991582085
-60	35	1.79359445983677	-0.8281790100	1.630000955	0.7668245090
-60	30	1.85938818165918	-0.9402758923	1.531543674	0.8315436741
-60	25	1.92553003537136	-1.046235851	1.421021619	0.8927196848
-60	20	1.99169502767511	-1.145069858	1.298756462	0.9497815253
-60	15	2.05759960916113	-1.235811654	1.165109331	1.002171325
-60	10	2.12299546439670	-1.317499524	1.020474204	1.049333839
-60	5	2.18766376710804	-1.389157614	0.8652798748	1.090705657
-60	-2.84217e-14	2.25140404226739	-1.449773095	0.7000000000	1.125702021
-60	-5	2.31402284020602	-1.498275024	0.5251735888	1.153704623
-60	-10	2.37531591195752	-1.533511429	0.3414370696	1.174048371
-60	-15	2.43503749963338	-1.554222041	0.1495728630	1.186005648
-60	-20	2.49284512450052	-1.559002165	-0.04941550047	1.188765454
-60	-25	2.54824295223980	-1.546285717	-0.2541987008	1.181423610
-60	-30	2.60056547245282	-1.514389353	-0.4630082353	1.163008235
-60	-35	2.64900724726421	-1.461622821	-0.6735430861	1.132543463
-60	-40	2.69266032178343	-1.386431874	-0.8829042895	1.089131950
-60	-45	2.73053431111536	-1.287554310	-1.087554310	1.032044962

-55	45	1.66435128531686	-0.5546782293	1.754678229	0.7384936466
-55	40	1.72585147148434	-0.6650581948	1.677599902	0.8157825304
-55	35	1.78782900492595	-0.7703683154	1.589521471	0.8895214708
-55	30	1.84993616677226	-0.8699007449	1.490912564	0.9592148282
-55	25	1.91190888351957	-0.9630432044	1.382228250	1.024433880
-55	20	1.97355367552919	-1.049248685	1.263880407	1.084795608
-55	15	2.03473364935350	-1.128001900	1.136221794	1.139939202
-55	10	2.09535219348927	-1.198783064	0.9995412886	1.189500707
-55	5	2.15533560154046	-1.261030950	0.8540702442	1.233087146
-55	-2.84217e-14	2.21462446685965	-1.314114159	0.7000000000	1.270256410
-55	-5	2.27315709506265	-1.357297766	0.5375075007	1.300493896
-55	-10	2.33084316112111	-1.389704699	0.3667940759	1.323185476
-55	-15	2.38754519575425	-1.410288413	0.1881397624	1.337598347
-55	-20	2.44304739998827	-1.417803411	0.001976643168	1.342860405
-55	-25	2.49702131255842	-1.410786698	-0.1910144704	1.337947250
-55	-30	2.54899843006368	-1.387565047	-0.3897861882	1.321687275
-55	-35	2.59835512144613	-1.346299623	-0.5927929141	1.292792914
-55	-40	2.64430471739844	-1.285071851	-0.7978531317	1.249920766
-55	-45	2.68587767205620	-1.202006501	-1.002006501	1.191757782

-50	45	1.66422224340313	-0.5120475004	1.712047500	0.8492086843
-50	40	1.72290327287554	-0.6102396919	1.631601716	0.9316017160
-50	35	1.78135060393890	-0.7025235967	1.542016087	1.009037106
-50	30	1.83932639030003	-0.7886006827	1.443973951	1.081264358
-50	25	1.89669877734090	-0.8682790076	1.338038980	1.148122411
-50	20	1.95341157747416	-0.9414211776	1.224634404	1.209495979
-50	15	2.00946329530572	-1.007900423	1.104040701	1.265278689
-50	10	2.06489336730665	-1.067564567	0.9764039272	1.315342850
-50	5	2.11975887771531	-1.120194865	0.8417486834	1.359504914
-50	-2.84217e-14	2.17412559779194	-1.165476833	0.7000000000	1.397500996
-50	-5	2.22805242854810	-1.202966852	0.5510097061	1.428958858
-50	-10	2.28157271936894	-1.232056778	0.3945916579	1.453368204
-50	-15	2.33467885363193	-1.251942043	0.2305685443	1.470053922
-50	-20	2.38729940240334	-1.261586731	0.05883486466	1.478146777
-50	-25	2.43927260756425	-1.259691914	-0.1205578157	1.476556836
-50	-30	2.49031866109416	-1.244674759	-0.3072884418	1.463955947
-50	-35	2.54001213675259	-1.214667805	-0.5006233227	1.438777123
-50	-40	2.58775372965614	-1.167549739	-0.6992403712	1.399240371
-50	-45	2.63272240818995	-1.101012210	-0.9010122103	1.343408755

-45	45	1.66436284647506	-0.4609203374	1.660920337	0.9609203374
-45	40	1.71979456405216	-0.5458421624	1.577565773	1.045842162
-45	35	1.77428175237677	-0.6243397674	1.487271181	1.124339767
-45	30	1.82773090242855	-0.6965307443	1.390817347	1.196530744
-45	25	1.88014850413192	-0.7626004433	1.288760256	1.262600443
-45	20	1.93161333441100	-0.8227515790	1.181442202	1.322751579
-45	15	1.98224870359606	-0.8771605286	1.069009051	1.377160529
-45	10	2.03220618773260	-0.9259459258	0.9514327398	1.425945926
-45	5	2.08165169648710	-0.9691414154	0.8285332190	1.469141415
-45	-2.84217e-14	2.13075443764102	-1.006670912	0.7000000000	1.506670912
-45	-5	2.17967681460871	-1.038323383	0.5654141431	1.538323383
-45	-10	2.22856289659375	-1.063724292	0.4242732169	1.563724292
-45	-15	2.27752755702861	-1.082304505	0.2760227856	1.582304505
-45	-20	2.32663907844156	-1.093261684	0.1201001715	1.593261684
-45	-25	2.37589795043349	-1.095517481	-0.04400202015	1.595517481
-45	-30	2.42521269736585	-1.087674395	-0.2166442391	1.587674395
-45	-35	2.47437036386972	-1.067977011	-0.3979093231	1.567977011
-45	-40	2.52300969766694	-1.034293673	-0.5874252548	1.534293673
-45	-45	2.57058955771675	-0.9841305731	-0.7841305731	1.484130573


### -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	2.84665823268100	-1.512891340	-1.312891340	2.465080937e-16
-40	-90	2.86145128245758	-1.339305430	-1.491998854	2.684424381e-16
-35	-90	2.86653284089318	-1.144175692	-1.648126237	2.875625280e-16
-30	-90	2.86196592766790	-0.9309829638	-1.778535198	3.035330197e-16
-25	-90	2.84790793790277	-0.7035779023	-1.881081141	3.160912758e-16
-20	-90	2.82461684801826	-0.4660758592	-1.954271609	3.250545230e-16
-15	-90	2.79243947524965	-0.2227365185	-1.997289407	3.303226839e-16
-10	-90	2.75183859082842	0.02214824347	-2.010031979	3.318831989e-16
-5	-90	2.70337319034198	0.2643855017	-1.993086039	3.298079198e-16
-2.84217e-14	-90	2.64769461135602	0.5000000000	-1.947694611	3.242490731e-16
5	-90	2.58554285150831	0.7253449076	-1.875704080	3.154327758e-16
10	-90	2.51773885864938	0.9372007646	-1.779488748	3.036497959e-16
15	-90	2.44517548394817	1.132857984	-1.661858150	2.892442023e-16
20	-90	2.36879314825642	1.310174972	-1.525937442	2.725987163e-16
25	-90	2.28956294965119	1.467611114	-1.375048730	2.541201785e-16
30	-90	2.20846583227539	1.604232916	-1.212587514	2.342244177e-16
35	-90	2.12647544634845	1.719696209	-1.041906709	2.133220476e-16
40	-90	2.04453792764963	1.814203647	-0.8662069182	1.918050289e-16
45	-90	1.96354515599846	1.888436095	-0.6884360950	1.700343820e-16

-45	-85	2.84359022827050	-1.506885292	-1.306885292	0.1755797121
-40	-85	2.85779161340402	-1.332841358	-1.484295273	0.1911010742
-35	-85	2.86232424343835	-1.137561793	-1.638680611	0.2046080410
-30	-85	2.85728109506844	-0.9245574210	-1.767405831	0.2158700386
-25	-85	2.84284599255165	-0.6976795255	-1.868432031	0.2247086858
-20	-85	2.81929557581498	-0.4610136547	-1.940363316	0.2310018577
-15	-85	2.78699216571851	-0.2187646781	-1.982466297	0.2346853913
-10	-85	2.74640348524234	0.02485239875	-1.994695953	0.2357553475
-5	-85	2.69808654810746	0.2657343351	-1.977668803	0.2342656649
-2.84217e-14	-85	2.64268251619243	0.5000000000	-1.932626311	0.2303249575
5	-85	2.58091376978664	0.7240919517	-1.861382728	0.2240919517
10	-85	2.51357987300449	0.9348674379	-1.766255795	0.2157694234
15	-85	2.44154528621518	1.129674002	-1.649975369	0.2055962044
20	-85	2.36572239668454	1.306404105	-1.515577070	0.1938378768
25	-85	2.28705389721865	1.463526562	-1.366289381	0.1807768964
30	-85	2.20649415893852	1.600093944	-1.205418604	0.1667025271
35	-85	2.12499508790118	1.715729062	-1.036241036	0.1519014078
40	-85	2.04348599672609	1.810587389	-0.8618972296	0.1366483012
45	-85	1.96284808030024	1.885294866	-0.6852948655	0.1211975964

-45	-80	2.83433052572092	-1.488775593	-1.288775593	0.3506747956
-40	-80	2.84677371598767	-1.313402819	-1.461129325	0.3810654088
-35	-80	2.84968427534262	-1.117723966	-1.610349258	0.4073769090
-30	-80	2.84324225444209	-0.9053305160	-1.734103855	0.4291981835
-25	-80	2.82770653258875	-0.6800670661	-1.830661990	0.4462239879
-20	-80	2.80340802830941	-0.4459251148	-1.898907893	0.4582575820
-15	-80	2.77075309303613	-0.2069432931	-1.938348288	0.4652119877
-10	-80	2.73021955746153	0.03289255197	-1.949097978	0.4671074480
-5	-80	2.68235636884931	0.2697425519	-1.931854674	0.4640669884
-2.84217e-14	-80	2.62777349320825	0.5000000000	-1.887851709	0.4563080784
5	-80	2.56714295251416	0.7203673576	-1.818810423	0.4441342368
10	-80	2.50119946291789	0.9279248879	-1.726882637	0.4279248879
15	-80	2.43072780162785	1.120187602	-1.614571641	0.4081214291
20	-80	2.35655842086483	1.295149251	-1.484654613	0.3852135518
25	-80	2.27955249394467	1.451309760	-1.340090364	0.3597229743
30	-80	2.20058695477361	1.587685017	-1.183925713	0.3321869328
35	-80	2.12054944553419	1.703804818	-1.019211451	0.3031433643
40	-80	2.04031875879751	1.799688756	-0.8489087443	0.2731144023
45	-80	1.96074362174928	1.875802513	-0.6758025125	0.2425911031

-45	-75	2.81871409499382	-1.458292007	-1.258292007	0.5247227619
-40	-75	2.82828422508160	-1.280857488	-1.422343309	0.5686801758
-35	-75	2.82857472976631	-1.084680738	-1.563158637	0.6064115292
-30	-75	2.81990113925541	-0.8734567453	-1.678896865	0.6374234938
-25	-75	2.80263411001269	-0.6509915430	-1.768309329	0.6613814915
-20	-75	2.77719054499512	-0.4211055813	-1.830716786	0.6781035190
-15	-75	2.74402979430109	-0.1875518080	-1.865978280	0.6875518080
-10	-75	2.70364604589914	0.04605534712	-1.874448057	0.6898212778
-5	-75	2.65656527714001	0.2762975191	-1.856931056	0.6851276117
-2.84217e-14	-75	2.60334409189193	0.5000000000	-1.814637293	0.6737950319
5	-75	2.54457287226757	0.7142718905	-1.749138916	0.6562447946
10	-75	2.48088196297083	0.9165423589	-1.662329107	0.6329841765
15	-75	2.41293968097943	1.104592940	-1.556371569	0.6045929398
20	-75	2.34144716423150	1.276583391	-1.433645332	0.5717085435
25	-75	2.26713791802604	1.431072865	-1.296692203	0.5350120632
30	-75	2.19077080782884	1.567033486	-1.148156211	0.4952119644
35	-75	2.11312873848670	1.683859268	-0.9907262537	0.4530287343
40	-75	2.03500742905613	1.781362809	-0.8270687306	0.4091768332
45	-75	1.95719866014442	1.859757096	-0.6597570963	0.3643458158

-45	-70	2.79646932634319	-1.414997247	-1.214997247	0.6970019965
-40	-70	2.80214512258077	-1.235007254	-1.367701128	0.7525816640
-35	-70	2.79894316786024	-1.038484254	-1.497183221	0.7997092916
-30	-70	2.78734980244746	-0.8292061837	-1.602252644	0.8379514341
-25	-70	2.76787336405338	-0.6108750294	-1.682279188	0.8670787143
-20	-70	2.74103214048501	-0.3870406980	-1.737124288	0.8870406980
-15	-70	2.70733471303036	-0.1610468984	-1.767060611	0.8979366285
-10	-70	2.66727604357748	0.06399515949	-1.772706325	0.8999915005
-5	-70	2.62133950909674	0.2852178744	-1.754970929	0.8935363441
-2.84217e-14	-70	2.57000401828302	0.5000000000	-1.715013811	0.8789931427
5	-70	2.51375361504120	0.7059669656	-1.654213190	0.8568635262
10	-70	2.45309066724845	0.9009931434	-1.574145124	0.8277211336
15	-70	2.38853403856227	1.083205693	-1.476553278	0.7922006065
20	-70	2.32062875301286	1.250991613	-1.363332499	0.7509916132
25	-70	2.24994761357702	1.403007578	-1.236505999	0.7048305422
30	-70	2.17709772920160	1.538194690	-1.098205951	0.6544934414
35	-70	2.10272494134146	1.655796677	-0.9506487206	0.6007870015
40	-70	2.02750844577495	1.755374617	-0.7960972103	0.5445348521
45	-70	1.95215768633590	1.836820168	-0.6368201680	0.4865627497

-45	-65	2.76722709403161	-1.358311802	-1.158311802	0.8665450247
-40	-65	2.76812767397637	-1.175621588	-1.296928048	0.9311828414
-35	-65	2.76073810048959	-0.9792512706	-1.412589754	0.9851167806
-30	-65	2.74573229446931	-0.7729841776	-1.504873273	1.028149292
-25	-65	2.72377238484033	-0.5603145282	-1.573851844	1.060314528
-20	-65	2.69546611418754	-0.3443960345	-1.619959038	1.081814666
-15	-65	2.66135170107987	-0.1280408674	-1.643880426	1.092969393
-10	-65	2.62189448376560	0.08625401936	-1.646470058	1.094176958
-5	-65	2.57750452566143	0.2962648501	-1.628703419	1.085892238
-2.84217e-14	-65	2.52855906782231	0.5000000000	-1.591652773	1.068615238
5	-65	2.47541941427606	0.6956659786	-1.536472370	1.042884193
10	-65	2.41844317228208	0.8816405077	-1.464390873	1.009272039
15	-65	2.35799134616420	1.056452170	-1.376707772	0.9683847378
20	-65	2.29443761115471	1.218767715	-1.274798067	0.9208634621
25	-65	2.22817995157935	1.367389503	-1.160122791	0.8673895026
30	-65	2.15965113079366	1.501263570	-1.034239374	0.8086891014
35	-65	2.08933425609867	1.619501467	-0.8988137884	0.7455391135
40	-65	2.01776651622751	1.721407945	-0.7556173069	0.6787654976
45	-65	1.94554626410890	1.806517847	-0.6065178469	0.6092392775

-45	-60	2.73053458566703	-1.287554490	-1.087554490	1.032045066
-40	-60	2.72597401124685	-1.102488038	-1.209770876	1.102606729
-35	-60	2.71392505273303	-0.9072037727	-1.309695263	1.160298101
-30	-60	2.69525590169696	-0.7053550826	-1.387736244	1.205355083
-25	-60	2.67076830653178	-0.5000787586	-1.444675819	1.238229161
-20	-60	2.64114739161560	-0.2939991036	-1.481494608	1.259486499
-15	-60	2.60691690657234	-0.08927955293	-1.499221231	1.269720970
-10	-60	2.56845566691450	0.1122818923	-1.498858655	1.269511637
-5	-60	2.52605843146187	0.3091541179	-1.481378414	1.259419415
-2.84217e-14	-60	2.47998007669763	0.5000000000	-1.447725747	1.239990038
5	-60	2.43045197233707	0.6836227321	-1.398817432	1.211752809
10	-60	2.37769084160938	0.8589214350	-1.335544609	1.175222228
15	-60	2.32190425767368	1.024853976	-1.258781704	1.130903144
20	-60	2.26329877843254	1.180407768	-1.169404978	1.079301467
25	-60	2.20209613980636	1.324582787	-1.068323493	1.020942045
30	-60	2.13855098210481	1.456389074	-0.9565144677	0.9563890739
35	-60	2.07296926754163	1.574860255	-0.8350595306	0.8862670332
40	-60	2.00572508812392	1.679083310	-0.7051767709	0.8112791869
45	-60	1.93727648945948	1.768245165	-0.5682451650	0.7322216874

-45	-55	2.68587872220045	-1.202007166	-1.002007166	1.191758248
-40	-55	2.67542421871909	-1.015480617	-1.106079470	1.264630459
-35	-55	2.65851048394296	-0.8227227823	-1.189043905	1.322722782
-30	-55	2.63616138068000	-0.6270514052	-1.252110297	1.366882345
-25	-55	2.60934745684211	-0.4310959144	-1.296741632	1.398133543
-20	-55	2.57882543365759	-0.2368176262	-1.324389790	1.417492991
-15	-55	2.54500351696282	-0.04561735928	-1.336271706	1.425812799
-10	-55	2.50806399155059	0.1414594539	-1.333384481	1.423791142
-5	-55	2.46813992444290	0.3235695079	-1.316609753	1.412045351
-2.84217e-14	-55	2.42536285905049	0.5000000000	-1.286740944	1.391130986
5	-55	2.37984813225619	0.6701191140	-1.244470371	1.361532811
10	-55	2.33168984442917	0.8333269618	-1.190391138	1.323666125
15	-55	2.28095983366277	0.9890096508	-1.125008862	1.277884963
20	-55	2.22771799515726	1.136499805	-1.048768841	1.224501125
25	-55	2.17202468926537	1.275045619	-0.9620906931	1.163808432
30	-55	2.11396522217505	1.403794241	-0.8654175450	1.096117165
35	-55	2.05366944695901	1.521788472	-0.7592651695	1.021788472
40	-55	1.99133524031362	1.627981850	-0.6442764216	0.9412724838
45	-55	1.92725407228142	1.721276380	-0.5212763798	0.8551469274

-45	-50	2.63272652361086	-1.101014713	-0.9010147130	1.343410855
-40	-50	2.61625079894608	-0.9146491983	-0.9859132643	1.414649198
-35	-50	2.59453298810879	-0.7263944617	-1.051472806	1.469660185
-30	-50	2.56860528997358	-0.5389539541	-1.099521035	1.509977437
-25	-50	2.53993482366601	-0.3544200285	-1.132309664	1.537490363
-20	-50	2.50935231674259	-0.1739453024	-1.151649500	1.553718413
-15	-50	2.47677067957988	0.001998288228	-1.158567691	1.559523464
-10	-50	2.44199432752501	0.1731178311	-1.153840902	1.555557217
-5	-50	2.40501777310526	0.3391759995	-1.138226737	1.542455377
-2.84217e-14	-50	2.36590072255638	0.5000000000	-1.112385101	1.520771670
5	-50	2.32468298492625	0.6554519978	-1.076824465	1.490932754
10	-50	2.28136730476047	0.8053808456	-1.031900838	1.453237354
15	-50	2.23591787279632	0.9495736877	-0.9778318443	1.407868082
20	-50	2.18827332750465	1.087712024	-0.9147255157	1.354915585
25	-50	2.13836334929760	1.219333605	-0.8426158947	1.294408428
30	-50	2.08612317460893	1.343798745	-0.7615022984	1.226346040
35	-50	2.03151801202049	1.460266241	-0.6714023175	1.150743179
40	-50	1.97456981953343	1.567681895	-0.5724137347	1.067681895
45	-50	1.91538909064106	1.664787185	-0.4647871846	0.9773724970

-45	-45	2.57060904047083	-0.9841418215	-0.7841418215	1.484141821
-40	-45	2.54833766630614	-0.8003494487	-0.8496961271	1.549696127
-35	-45	2.52204989445761	-0.6190653318	-0.8981909231	1.598190923
-30	-45	2.49211436941068	-0.4419306943	-0.9314718198	1.631471820
-25	-45	2.46281321520655	-0.2712191540	-0.9538848130	1.653884813
-20	-45	2.43403909158751	-0.1066685912	-0.9668082553	1.666808255
-15	-45	2.40378445898104	0.05251920632	-0.9700210574	1.670021057
-10	-45	2.37174361063807	0.2065583219	-0.9641904543	1.664190454
-5	-45	2.33806886805225	0.3556341014	-0.9501097720	1.650109772
-2.84217e-14	-45	2.30284328636556	0.5000000000	-0.9283561038	1.628356104
5	-45	2.26607033033215	0.6399202924	-0.8992962599	1.599296260
10	-45	2.22768884735364	0.7756186422	-0.8631109949	1.563110995
15	-45	2.18758431501074	0.9072336693	-0.8198167445	1.519816745
20	-45	2.14560535213116	1.034778336	-0.7692914037	1.469291404
25	-45	2.10157861368972	1.158100123	-0.7113002688	1.411300269
30	-45	2.05532082597125	1.276838253	-0.6455233232	1.345523323
35	-45	2.00665694534277	1.390378983	-0.5715929700	1.271592970
40	-45	1.95544551528551	1.497812233	-0.4891463136	1.189146314
45	-45	1.90161251020858	1.597896495	-0.3978964947	1.097896495