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# N_patches = 5
# origin = 0 0 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	1.05220398692192	-0.6074902551	-0.6074902551	0.6074902551
-40	-45	1.05141592898359	-0.5365097968	-0.6393874778	0.6393874778
-35	-45	1.05071864299363	-0.4662171075	-0.6658270329	0.6658270329
-30	-45	1.05026133610457	-0.3969614724	-0.6875574389	0.6875574389
-25	-45	1.04988220352093	-0.3287660062	-0.7050409756	0.7050409756
-20	-45	1.04941243781556	-0.2615593017	-0.7186282754	0.7186282754
-15	-45	1.04881297486765	-0.1952436545	-0.7286592385	0.7286592385
-10	-45	1.04812397082019	-0.1296781218	-0.7354411747	0.7354411747
-5	-45	1.04741105198048	-0.06467321806	-0.7392182650	0.7392182650
-2.38542e-15	-45	1.04673400360760	-3.081504685e-17	-0.7401527120	0.7401527120
5	-45	1.04611387099347	0.06459312260	-0.7383027697	0.7383027697
10	-45	1.04555050985915	0.1293597229	-0.7336354445	0.7336354445
15	-45	1.04502705071841	0.1945388790	-0.7260289806	0.7260289806
20	-45	1.04453245507701	0.2603429974	-0.7152865067	0.7152865067
25	-45	1.04409079955438	0.3269524535	-0.7011517991	0.7011517991
30	-45	1.04376708437748	0.3945068760	-0.6833059532	0.6833059532
35	-45	1.04347147021949	0.4630014456	-0.6612345917	0.6612345917
40	-45	1.04299753307220	0.5322141116	-0.6342680795	0.6342680795
45	-45	1.04211610163828	0.6016660118	-0.6016660118	0.6016660118

-45	-40	1.05311194534104	-0.6404188600	-0.5373752292	0.6404188600
-40	-40	1.05229249531478	-0.5689916026	-0.5689916026	0.6780977865
-35	-40	1.05141237112191	-0.4969858987	-0.5955672591	0.7097694207
-30	-40	1.05070974083774	-0.4249929112	-0.6176690548	0.7361093151
-25	-40	1.05018673868734	-0.3532770112	-0.6357060723	0.7576049955
-20	-40	1.04963725981270	-0.2819046556	-0.6499050478	0.7745266756
-15	-40	1.04897198035230	-0.2109157082	-0.6604957131	0.7871481389
-10	-40	1.04821619462370	-0.1403128498	-0.6677166478	0.7957537139
-5	-40	1.04744370765603	-0.07004276196	-0.6717768149	0.8005924326
-2.38542e-15	-40	1.04671850624238	-3.338300033e-17	-0.6728176866	0.8018328952
5	-40	1.04605571913951	0.06994994690	-0.6708866301	0.7995315516
10	-40	1.04548476556090	0.1399472242	-0.6659767199	0.7936801485
15	-40	1.04497871336801	0.2101127861	-0.6579813125	0.7841515931
20	-40	1.04452112053795	0.2805305966	-0.6467372823	0.7707514796
25	-40	1.04413852867144	0.3512424268	-0.6320449293	0.7532418151
30	-40	1.04387138361282	0.4222269205	-0.6136490657	0.7313184787
35	-40	1.04352514748762	0.4932577336	-0.5910995809	0.7044450491
40	-40	1.04288122626284	0.5639027769	-0.5639027769	0.6720331603
45	-40	1.04172073859595	0.6334916348	-0.5315625971	0.6334916348

-45	-35	1.05375829030888	-0.6677532187	-0.4675658374	0.6677532187
-40	-35	1.05273845725209	-0.5963184139	-0.4976127185	0.7106646121
-35	-35	1.05150148449880	-0.5231670056	-0.5231670056	0.7471599162
-30	-35	1.05036023942074	-0.4490658244	-0.5446248009	0.7778048239
-25	-35	1.04949174244355	-0.3744911284	-0.5623358453	0.8030988166
-20	-35	1.04879547067561	-0.2996600619	-0.5764873456	0.8233092535
-15	-35	1.04811836448513	-0.2247036479	-0.5871978442	0.8386054307
-10	-35	1.04740580395808	-0.1497320045	-0.5945969124	0.8491723952
-5	-35	1.04666220396017	-0.07481874343	-0.5988049884	0.8551821506
-2.38542e-15	-35	1.04591789213171	-3.567004107e-17	-0.5999138573	0.8567657795
5	-35	1.04521118613663	0.07471502006	-0.5979748479	0.8539965871
10	-35	1.04457784856460	0.1493277339	-0.5929915236	0.8468796624
15	-35	1.04403832977586	0.2238289388	-0.5849120455	0.8353409719
20	-35	1.04361631926124	0.2981802835	-0.5736405415	0.8192435959
25	-35	1.04335170873365	0.3723001744	-0.5590459090	0.7984003006
30	-35	1.04320028174558	0.4460046915	-0.5409122742	0.7725027862
35	-35	1.04289891051387	0.5188868567	-0.5188868567	0.7410472302
40	-35	1.04222262144257	0.5903617715	-0.4926420503	0.7035657621
45	-35	1.04096281201148	0.6596448869	-0.4618883224	0.6596448869

-45	-30	1.05440449914547	-0.6902697758	-0.3985274409	0.6902697758
-40	-30	1.05306939715054	-0.6190561997	-0.4259473491	0.7377624500
-35	-30	1.05138639198178	-0.5451568738	-0.4495045406	0.7785647026
-30	-30	1.04981299396485	-0.4694906436	-0.4694906436	0.8131816485
-25	-30	1.04861704612805	-0.3926584089	-0.4861628028	0.8420586752
-20	-30	1.04770635149085	-0.3149683757	-0.4996207365	0.8653685001
-15	-30	1.04691579629098	-0.2366496879	-0.5099092100	0.8831886589
-10	-30	1.04615330527491	-0.1579208024	-0.5170826235	0.8956133757
-5	-30	1.04538628865083	-0.07897983115	-0.5211992610	0.9027436010
-2.38542e-15	-30	1.04462271436789	-3.766444690e-17	-0.5223113572	0.9046698080
5	-30	1.04390243091690	0.07886772443	-0.5204594526	0.9014622152
10	-30	1.04326794146094	0.1574852458	-0.5156564736	0.8931432115
15	-30	1.04275486789938	0.2357091324	-0.5078825946	0.8796784581
20	-30	1.04239835317308	0.3133726503	-0.4970895062	0.8609842807
25	-30	1.04223042680393	0.3902669164	-0.4832018203	0.8369301031
30	-30	1.04213247702012	0.4660558120	-0.4660558120	0.8072323456
35	-30	1.04189503557156	0.5402354878	-0.4454466530	0.7715362351
40	-30	1.04128812828238	0.6121304761	-0.4211820409	0.7295086941
45	-30	1.04008235547361	0.6808937318	-0.3931141794	0.6808937318

-45	-25	1.05517712490219	-0.7085967426	-0.3304240876	0.7085967426
-40	-25	1.05348953013698	-0.6377053401	-0.3543880520	0.7599876301
-35	-25	1.05132809150347	-0.5633197929	-0.3751463946	0.8045040394
-30	-25	1.04935693635744	-0.4865058328	-0.3929354634	0.8426528206
-25	-25	1.04780142298123	-0.4078898360	-0.4078898360	0.8747225762
-20	-25	1.04664640592764	-0.3278780134	-0.4200673962	0.9008374382
-15	-25	1.04569783647908	-0.2467697058	-0.4294493391	0.9209570797
-10	-25	1.04483907230024	-0.1648800016	-0.4360354104	0.9350809553
-5	-25	1.04402006821357	-0.08252306950	-0.4398414347	0.9432430006
-2.38542e-15	-25	1.04323876178670	-3.936415417e-17	-0.4408917521	0.9454954135
5	-25	1.04252893095291	0.08240520470	-0.4392132246	0.9418957997
10	-25	1.04192509463912	0.1644201636	-0.4348193404	0.9324730848
15	-25	1.04145675543138	0.2457688714	-0.4277076032	0.9172219150
20	-25	1.04115698790328	0.3261583692	-0.4178642400	0.8961127544
25	-25	1.04105474116979	0.4052634768	-0.4052634768	0.8690903307
30	-25	1.04099316697323	0.4826281984	-0.3898036200	0.8359365608
35	-25	1.04077209281417	0.5576637061	-0.3713796876	0.7964263103
40	-25	1.04028827486068	0.6297142678	-0.3499472227	0.7504642410
45	-25	1.03922117429065	0.6978816367	-0.3254275517	0.6978816367

-45	-20	1.05590388713140	-0.7230735619	-0.2631772537	0.7230735619
-40	-20	1.05393776526746	-0.6525677965	-0.2830596570	0.7777000159
-35	-20	1.05145300722887	-0.5779481034	-0.3004193687	0.8253954319
-30	-20	1.04915437113403	-0.5003112550	-0.3154036889	0.8665645133
-25	-20	1.04728587082047	-0.4203240429	-0.3280783356	0.9013878188
-20	-20	1.04593702365213	-0.3384815135	-0.3384815135	0.9299703153
-15	-20	1.04487815679603	-0.2551267346	-0.3465527793	0.9521459358
-10	-20	1.04396112840054	-0.1706505430	-0.3522530578	0.9678073223
-5	-20	1.04311405918410	-0.08546861407	-0.3555664269	0.9769107290
-2.38542e-15	-20	1.04232971031951	-4.077861120e-17	-0.3564977569	0.9794695372
5	-20	1.04163620391703	0.08534752449	-0.3550626702	0.9755266688
10	-20	1.04104519815507	0.1701738921	-0.3512691655	0.9651041003
15	-20	1.04057134146599	0.2540751443	-0.3451243459	0.9482213474
20	-20	1.04025131347074	0.3366415292	-0.3366415292	0.9249149998
25	-20	1.04012439848778	0.4174498143	-0.3258348947	0.8952240157
30	-20	1.04000063487228	0.4959461040	-0.3126518325	0.8590038499
35	-20	1.03967373791336	0.5714734381	-0.2970538159	0.8161486515
40	-20	1.03921062402613	0.6434491764	-0.2791043385	0.7668328676
45	-20	1.03831334413285	0.7110277150	-0.2587929240	0.7110277150

-45	-15	1.05646918323186	-0.7339783631	-0.1966689097	0.7339783631
-40	-15	1.05426794603952	-0.6638303709	-0.2119805625	0.7911222294
-35	-15	1.05161814861302	-0.5891585633	-0.2254539585	0.8414056278
-30	-15	1.04908910160794	-0.5109677368	-0.2371409519	0.8850220811
-25	-15	1.04699421287713	-0.4299817376	-0.2470756320	0.9220988120
-20	-15	1.04563400969766	-0.3468034716	-0.2553112903	0.9528347073
-15	-15	1.04467822063257	-0.2617575075	-0.2617575075	0.9768923171
-10	-15	1.04388225556092	-0.1752687889	-0.2663411479	0.9939986962
-5	-15	1.04311474228988	-0.08783799054	-0.2690190669	1.003992826
-2.38542e-15	-15	1.04235587232289	-4.191807140e-17	-0.2697815515	1.006838457
5	-15	1.04165008727673	0.08771465573	-0.2686413327	1.002583103
10	-15	1.04096976419080	0.1747797790	-0.2655980408	0.9912253828
15	-15	1.04031963501152	0.2606654080	-0.2606654080	0.9728165465
20	-15	1.03977180922028	0.3448591666	-0.2538799234	0.9474927731
25	-15	1.03942242222198	0.4268721391	-0.2452887979	0.9154302564
30	-15	1.03912269252605	0.5061135128	-0.2348880987	0.8766143185
35	-15	1.03878313747722	0.5819678765	-0.2227022904	0.8311362628
40	-15	1.03836162298055	0.6538147953	-0.2087822946	0.7791861312
45	-15	1.03760507861643	0.7208725908	-0.1931572285	0.7208725908

-45	-10	1.05684969208091	-0.7415637851	-0.1307577032	0.7415637851
-40	-10	1.05446606681028	-0.6716978339	-0.1411494495	0.8004983066
-35	-10	1.05174928991127	-0.5970626456	-0.1503529280	0.8526938273
-30	-10	1.04906427830843	-0.5185214314	-0.1583602248	0.8981054640
-25	-10	1.04676241486989	-0.4368380656	-0.1651835131	0.9368022548
-20	-10	1.04522545755757	-0.3526796674	-0.1708572159	0.9689794224
-15	-10	1.04448890175114	-0.2664959306	-0.1753706454	0.9945763528
-10	-10	1.04374016118724	-0.1785712807	-0.1785712807	1.012728058
-5	-10	1.04296298738012	-0.08952948933	-0.1804401153	1.023326746
-2.38542e-15	-10	1.04220444596185	-4.273127762e-17	-0.1809769028	1.026371019
5	-10	1.04150232807864	0.08940410417	-0.1801874107	1.021893587
10	-10	1.04083516875552	0.1780742718	-0.1780742718	1.009909380
15	-10	1.04011548829178	0.2653800768	-0.1746363452	0.9904119298
20	-10	1.03938092452277	0.3507076068	-0.1699018425	0.9635612304
25	-10	1.03885138236801	0.4335366095	-0.1639351189	0.9297222594
30	-10	1.03843483357191	0.5132676114	-0.1567556699	0.8890055808
35	-10	1.03808688024282	0.5893066961	-0.1483998168	0.8416171833
40	-10	1.03770672294625	0.6610220849	-0.1389060656	0.7877754445
45	-10	1.03705624050077	0.7276752378	-0.1283087776	0.7276752378

-45	-5	1.05706306767257	-0.7460302480	-0.06526918935	0.7460302480
-40	-5	1.05460418480133	-0.6763691787	-0.07052158444	0.8060653986
-35	-5	1.05182425463711	-0.6017582446	-0.07518774323	0.8593998376
-30	-5	1.04903660098827	-0.5230192008	-0.07925561538	0.9058958291
-25	-5	1.04659723662126	-0.4409271853	-0.08272677808	0.9455714003
-20	-5	1.04496058374847	-0.3561958520	-0.08561991094	0.9786400602
-15	-5	1.04430348402533	-0.2693256432	-0.08793809140	1.005136984
-10	-5	1.04354770636975	-0.1805412759	-0.08957968247	1.023900456
-5	-5	1.04275167273560	-0.09053857599	-0.09053857599	1.034860659
-2.38542e-15	-5	1.04198168454532	-4.321612358e-17	-0.09081468765	1.038016630
5	-5	1.04127743367522	0.09041057283	-0.09041057283	1.033397576
10	-5	1.04061659120581	0.1800341719	-0.08932807120	1.021024526
15	-5	1.03989912669012	0.2681897604	-0.08756721187	1.000897812
20	-5	1.03904828430445	0.3541805257	-0.08513548066	0.9731029967
25	-5	1.03839345248138	0.4374709642	-0.08207832173	0.9381595103
30	-5	1.03790039778651	0.5174670131	-0.07841426568	0.8962791580
35	-5	1.03754431718305	0.5935885622	-0.07416696788	0.8477323220
40	-5	1.03719276186918	0.6652023827	-0.06935727924	0.7927573293
45	-5	1.03661349443282	0.7315978072	-0.06400651439	0.7315978072

-45	-2.38542e-15	1.05711842718201	-0.7474956084	-3.112075632e-17	0.7474956084
-40	-2.38542e-15	1.05462812603955	-0.6779018922	-3.363526189e-17	0.8078920155
-35	-2.38542e-15	1.05181188543961	-0.6032945130	-3.587105014e-17	0.8615938562
-30	-2.38542e-15	1.04897498602738	-0.5244874930	-3.782137045e-17	0.9084389858
-25	-2.38542e-15	1.04647511309518	-0.4422594933	-3.948627025e-17	0.9484285439
-20	-2.38542e-15	1.04479223902574	-0.3573399913	-4.087495164e-17	0.9817835573
-15	-2.38542e-15	1.04413874303229	-0.2702429924	-4.198976908e-17	1.008560578
-10	-2.38542e-15	1.04336986599981	-0.1811792759	-4.277906085e-17	1.027518733
-5	-2.38542e-15	1.04255443298530	-0.09086460596	-4.323987829e-17	1.038587199
-2.38542e-15	-2.38542e-15	1.04176509175003	-4.337218467e-17	-4.337218467e-17	1.041765092
5	-2.38542e-15	1.04104211716940	0.09073279895	-4.317715509e-17	1.037080638
10	-2.38542e-15	1.04036123979868	0.1806568334	-4.265570459e-17	1.024555815
15	-2.38542e-15	1.03961663864715	0.2690725857	-4.180791383e-17	1.004192561
20	-2.38542e-15	1.03871364526205	0.3552609898	-4.063714147e-17	0.9760715476
25	-2.38542e-15	1.03799595572869	0.4386760465	-3.916632925e-17	0.9407438176
30	-2.38542e-15	1.03746303843100	0.5187315192	-3.740630084e-17	0.8984693468
35	-2.38542e-15	1.03710127975532	0.5948568562	-3.536935884e-17	0.8495436334
40	-2.38542e-15	1.03677082702009	0.6664234417	-3.306573893e-17	0.7942125308
45	-2.38542e-15	1.03624129212238	0.7327332446	-3.050614947e-17	0.7327332446

-45	5	1.05702732527484	-0.7460050226	0.06526698241	0.7460050226
-40	5	1.05452439457012	-0.6763180053	0.07051624885	0.8060044126
-35	5	1.05169631690462	-0.6016850503	0.07517859783	0.8592953053
-30	5	1.04886112565457	-0.5229317139	0.07924235807	0.9057442974
-25	5	1.04637895146895	-0.4408352227	0.08270952405	0.9453741858
-20	5	1.04470499411988	-0.3561087291	0.08559896894	0.9784006921
-15	5	1.04401392201805	-0.2692509652	0.08791370813	1.004858282
-10	5	1.04322614958274	-0.1804856443	0.08955207956	1.023584953
-5	5	1.04239457586524	-0.09050757048	0.09050757048	1.034506264
-2.38542e-15	5	1.04157986112210	-4.319945798e-17	0.09077966643	1.037616335
5	5	1.04081772820355	0.09037065817	0.09037065817	1.032941350
10	5	1.04008506048137	0.1799422132	0.08928244381	1.020503003
15	5	1.03928517446109	0.2680314222	0.08751551255	1.000306886
20	5	1.03835009918916	0.3539425352	0.08507827415	0.9724491233
25	5	1.03762497887727	0.4371472094	0.08201757883	0.9374652158
30	5	1.03708639352034	0.5170611742	0.07835276696	0.8955762244
35	5	1.03672269101260	0.5931185024	0.07410823543	0.8470610070
40	5	1.03641202912383	0.6647016606	0.06930507149	0.7921605920
45	5	1.03592181221269	0.7311096472	0.06396380593	0.7311096472

-45	10	1.05677834138883	-0.7415137202	0.1307488754	0.7415137202
-40	10	1.05430505898225	-0.6715952714	0.1411278972	0.8003760775
-35	10	1.05148859904943	-0.5969146553	0.1503156609	0.8524824751
-30	10	1.04870485880165	-0.5183437810	0.1583059691	0.8977977644
-25	10	1.04631563788289	-0.4366516153	0.1651130098	0.9364024108
-20	10	1.04470591609586	-0.3525043639	0.1707722894	0.9684977800
-15	10	1.04390164413670	-0.2663460948	0.1752720443	0.9940171583
-10	10	1.04309324794829	-0.1784606017	0.1784606017	1.012100366
-5	10	1.04225032858371	-0.08946831364	0.1803168202	1.022627504
-2.38542e-15	10	1.04140619954331	-4.269854884e-17	0.1808382888	1.025584899
5	10	1.04058922716262	0.08932572223	0.1800294377	1.020997677
10	10	1.03977544080601	0.1778929652	0.1778929652	1.008881139
15	10	1.03888402253392	0.2650658747	0.1744295810	0.9892393116
20	10	1.03797693738550	0.3502338738	0.1696723405	0.9622596599
25	10	1.03729373787165	0.4328865686	0.1636893160	0.9283282421
30	10	1.03677352850531	0.5124464774	0.1565048896	0.8875833351
35	10	1.03640504041399	0.5883519403	0.1481593893	0.8402536507
40	10	1.03610664505955	0.6600028309	0.1386918813	0.7865607448
45	10	1.03564145670863	0.7266825211	0.1281337349	0.7266825211

-45	15	1.05636283787270	-0.7339044801	0.1966491128	0.7339044801
-40	15	1.05402333457709	-0.6636763488	0.2119313787	0.7909386731
-35	15	1.05121445757302	-0.5889323994	0.2253674121	0.8410826323
-30	15	1.04852657616077	-0.5106937540	0.2370137961	0.8845475290
-25	15	1.04629467383934	-0.4296944495	0.2469105508	0.9214827207
-20	15	1.04483604083043	-0.3465388108	0.2551164512	0.9521075576
-15	15	1.04378255345970	-0.2615330866	0.2615330866	0.9760547670
-10	15	1.04290015374408	-0.1751038931	0.2660905697	0.9930635257
-5	15	1.04204905633643	-0.08774825188	0.2687442268	1.002967108
-2.38542e-15	15	1.04117278244264	-4.187049375e-17	0.2694753453	1.005695680
5	15	1.04029839721516	0.08760083341	0.2682927321	1.001282108
10	15	1.03939281165241	0.1745150072	0.2651956896	0.9897237874
15	15	1.03848289282704	0.2602051887	0.2602051887	0.9710989848
20	15	1.03765403650953	0.3441567689	0.2533628292	0.9455629512
25	15	1.03703510012867	0.4258917087	0.2447254241	0.9133277167
30	15	1.03654220743748	0.5048566656	0.2343047939	0.8744373954
35	15	1.03615975557334	0.5804981530	0.2221398697	0.8290372801
40	15	1.03585864171647	0.6522387681	0.2082790228	0.7773078951
45	15	1.03539865934011	0.7193396885	0.1927464886	0.7193396885

-45	20	1.05576407837196	-0.7229778222	0.2631424073	0.7229778222
-40	20	1.05360350551186	-0.6523608325	0.2829698837	0.7774533658
-35	20	1.05088968034229	-0.5776384617	0.3002584159	0.8249532177
-30	20	1.04835367162260	-0.4999294246	0.3151629773	0.8659031637
-25	20	1.04628026305642	-0.4199204462	0.3277633136	0.9005223029
-20	20	1.04483207212960	-0.3381239340	0.3381239340	0.9289878737
-15	20	1.04362158475109	-0.2548199188	0.3461360144	0.9510008836
-10	20	1.04259320932895	-0.1704269369	0.3517914950	0.9665391888
-5	20	1.04165197863268	-0.08534881701	0.3550680473	0.9755414424
-2.38542e-15	20	1.04073076204305	-4.071605625e-17	0.3559508844	0.9779670173
5	20	1.03982563486956	0.08519917367	0.3544455013	0.9738310112
10	20	1.03894954137351	0.1698313267	0.3505620496	0.9631613154
15	20	1.03812569675513	0.2534779939	0.3443132035	0.9459927519
20	20	1.03740038795400	0.3357189253	0.3357189253	0.9223801664
25	20	1.03684754204138	0.4161346609	0.3248083693	0.8924036602
30	20	1.03638316355118	0.4942210369	0.3115643245	0.8560159462
35	20	1.03598015230213	0.5694431992	0.2959984909	0.8132491699
40	20	1.03566321900118	0.6412527257	0.2781515998	0.7642152396
45	20	1.03519511121285	0.7088923769	0.2580157245	0.7088923769

-45	25	1.05500849378530	-0.7084834996	0.3303712815	0.7084834996
-40	25	1.05306173685933	-0.6374463854	0.3542441447	0.7596790199
-35	25	1.05058514713845	-0.5629217105	0.3748812891	0.8039355188
-30	25	1.04826219814924	-0.4859982872	0.3925255348	0.8417737258
-25	25	1.04634825382772	-0.4073241440	0.4073241440	0.8735094457
-20	25	1.04486707018810	-0.3273206092	0.4193532668	0.8993059828
-15	25	1.04354308697998	-0.2462612158	0.4285644221	0.9190593692
-10	25	1.04238941406506	-0.1644934352	0.4350131116	0.9328886284
-5	25	1.04135113192654	-0.08231210726	0.4387170226	0.9408316911
-2.38542e-15	25	1.04038148935917	-3.925634173e-17	0.4396842166	0.9429058453
5	25	1.03947757517797	0.08216401465	0.4379277007	0.9391389849
10	25	1.03865246266108	0.1639037285	0.4334535957	0.9295442358
15	25	1.03790944359647	0.2449317567	0.4262507859	0.9140977602
20	25	1.03726065081017	0.3249377819	0.4163004605	0.8927592185
25	25	1.03674620653986	0.4035862435	0.4035862435	0.8654934921
30	25	1.03629703618027	0.4804509649	0.3880451370	0.8321654818
35	25	1.03586172253897	0.5550326447	0.3696275156	0.7926687652
40	25	1.03549634729062	0.6268135861	0.3483352448	0.7470073432
45	25	1.03500334513707	0.6950491833	0.3241067570	0.6950491833

-45	30	1.05421857646120	-0.6901480608	0.3984571687	0.6901480608
-40	30	1.05255201419436	-0.6187520515	0.4257380771	0.7373999803
-35	30	1.05045085725134	-0.5446717874	0.4491045667	0.7778719275
-30	30	1.04837275100639	-0.4688465474	0.4688465474	0.8120660411
-25	30	1.04659022862492	-0.3918994598	0.4852231239	0.8404311037
-20	30	1.04501806854455	-0.3141602064	0.4983387724	0.8631480732
-15	30	1.04358865387863	-0.2358976053	0.5082886971	0.8803818483
-10	30	1.04234119086494	-0.1573453493	0.5151984082	0.8923498190
-5	30	1.04123615853063	-0.07866628526	0.5191301266	0.8991597550
-2.38542e-15	30	1.04023718620602	-3.750632426e-17	0.5201185931	0.9008718292
5	30	1.03934137639420	0.07852313285	0.5181854432	0.8975235154
10	30	1.03855416332236	0.1567736832	0.5133265925	0.8891077391
15	30	1.03786547696067	0.2346039119	0.5055011753	0.8755537189
20	30	1.03726561520679	0.3118296129	0.4946418525	0.8567448201
25	30	1.03677131694643	0.3882227332	0.4806708523	0.8325463379
30	30	1.03632169727656	0.4634571523	0.4634571523	0.8027313350
35	30	1.03584336010598	0.5370976191	0.4428593496	0.7670548942
40	30	1.03537701133295	0.6086555735	0.4187911020	0.7253674664
45	30	1.03483022383189	0.6774554046	0.3911290602	0.6774554046

-45	35	1.05357992935185	-0.6676401936	0.4674866964	0.6676401936
-40	35	1.05215353890059	-0.5959870899	0.4973362370	0.7102697555
-35	35	1.05038379394575	-0.5226109067	0.5226109067	0.7463657247
-30	35	1.04856451315975	-0.4482980885	0.5436936946	0.7764750663
-25	35	1.04684461895493	-0.3735465529	0.5609174707	0.8010731678
-20	35	1.04513814593781	-0.2986150973	0.5744770381	0.8204382369
-15	35	1.04362293544255	-0.2237398834	0.5846793249	0.8350086125
-10	35	1.04232794432132	-0.1490060986	0.5917142859	0.8450555780
-5	35	1.04120000234086	-0.07442828788	0.5956800131	0.8507192233
-2.38542e-15	35	1.04019957180141	-3.547502316e-17	0.5966339635	0.8520816057
5	35	1.03931726647844	0.07429370393	0.5946028827	0.8491809217
10	35	1.03855027326961	0.1484660612	0.5895697575	0.8419928740
15	35	1.03788368579788	0.2225094591	0.5814639677	0.8304166064
20	35	1.03729526767536	0.2963742434	0.5701660736	0.8142815415
25	35	1.03679129165644	0.3699592146	0.5555307239	0.7933800960
30	35	1.03634029778359	0.4430718079	0.5373552875	0.7674228827
35	35	1.03583472601902	0.5153721225	0.5153721225	0.7360276695
40	35	1.03529542058682	0.5864378934	0.4893676727	0.6988894663
45	35	1.03472035040199	0.6556891184	0.4591184634	0.6556891184

-45	40	1.05299055190105	-0.6403450382	0.5373132853	0.6403450382
-40	40	1.05169712668931	-0.5686696771	0.5686696771	0.6777141307
-35	40	1.05017440631716	-0.4964007325	0.5948660201	0.7089337166
-30	40	1.04861799018220	-0.4241468362	0.6164394006	0.7346438702
-25	40	1.04697478055314	-0.3521965263	0.6337617882	0.7552878880
-20	40	1.04513418071061	-0.2806952483	0.6471168714	0.7712038563
-15	40	1.04362144667779	-0.2098398819	0.6571266960	0.7831331007
-10	40	1.04236123280793	-0.1395291122	0.6639870208	0.7913089174
-5	40	1.04127021853851	-0.06962993955	0.6678174548	0.7958738509
-2.38542e-15	40	1.04030410476579	-3.317842578e-17	0.6686945888	0.7969191786
5	40	1.03944560427009	0.06950792725	0.6666472405	0.7944792439
10	40	1.03868466449003	0.1390369716	0.6616450364	0.7885178492
15	40	1.03800601686787	0.2087107932	0.6535908843	0.7789192845
20	40	1.03738038617299	0.2786127852	0.6423159460	0.7654823362
25	40	1.03680252702316	0.3487746364	0.6276042516	0.7479496216
30	40	1.03628575042015	0.4191586704	0.6091897839	0.7260041135
35	40	1.03574336688730	0.4895794097	0.5866916303	0.6991918582
40	40	1.03515871616349	0.5597270906	0.5597270906	0.6670567711
45	40	1.03460049590133	0.6291616699	0.5279293252	0.6291616699

-45	45	1.05223311700488	-0.6075070734	0.6075070734	0.6075070734
-40	45	1.05093307054315	-0.5362634069	0.6390938418	0.6390938418
-35	45	1.04951966020658	-0.4656851038	0.6650672527	0.6650672527
-30	45	1.04806186940761	-0.3961301522	0.6861175499	0.6861175499
-25	45	1.04629564516792	-0.3276428912	0.7026324476	0.7026324476
-20	45	1.04469817802238	-0.2603843028	0.7153999923	0.7153999923
-15	45	1.04335902534574	-0.1942283648	0.7248701256	0.7248701256
-10	45	1.04221763962890	-0.1289473667	0.7312968566	0.7312968566
-5	45	1.04121518284188	-0.06429064925	0.7348454836	0.7348454836
-2.38542e-15	45	1.04031922263440	-3.062620061e-17	0.7356167769	0.7356167769
5	45	1.03950890141602	0.06418529357	0.7336412625	0.7336412625
10	45	1.03876988238337	0.1285207963	0.7288776555	0.7288776555
15	45	1.03809057852764	0.1932476076	0.7212098902	0.7212098902
20	45	1.03744351356140	0.2585761243	0.7104320628	0.7104320628
25	45	1.03681951167171	0.3246754816	0.6962688171	0.6962688171
30	45	1.03624186290437	0.3916626096	0.6783795393	0.6783795393
35	45	1.03566521748168	0.4595377129	0.6562878687	0.6562878687
40	45	1.03504029251910	0.5281537418	0.6294291192	0.6294291192
45	45	1.03445070708379	0.5972403942	0.5972403942	0.5972403942


### +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	1.04211658290942	0.6016662897	-0.6016662897	0.6016662897
45	-40	1.04172136849162	0.6334920178	-0.5315629185	0.6334920178
45	-35	1.04096355976750	0.6596453608	-0.4618886541	0.6596453608
45	-30	1.04008548904215	0.6808957833	-0.3931153638	0.6808957833
45	-25	1.03921626303997	0.6978783386	-0.3254260137	0.6978783386
45	-20	1.03831353742189	0.7110278474	-0.2587929722	0.7110278474
45	-15	1.03760514206473	0.7208726348	-0.1931572404	0.7208726348
45	-10	1.03705631213637	0.7276752881	-0.1283087865	0.7276752881
45	-5	1.03661355036076	0.7315978467	-0.06400651784	0.7315978467
45	-2.38542e-15	1.03624132285087	0.7327332663	-3.050615037e-17	0.7327332663
45	5	1.03592184417896	0.7311096698	0.06396380790	0.7311096698
45	10	1.03564145192429	0.7266825177	0.1281337343	0.7266825177
45	15	1.03539854019332	0.7193396057	0.1927464664	0.7193396057
45	20	1.03519488855416	0.7088922245	0.2580156690	0.7088922245
45	25	1.03500268321369	0.6950487388	0.3241065497	0.6950487388
45	30	1.03482984854732	0.6774551589	0.3911289184	0.6774551589
45	35	1.03472105736984	0.6556895664	0.4591187771	0.6556895664
45	40	1.03460256185886	0.6291629263	0.5279303794	0.6291629263
45	45	1.03445279175972	0.5972415978	0.5972415978	0.5972415978

50	-45	1.04090081377049	0.6329930217	-0.6329930217	0.5311442111
50	-40	1.04061468716858	0.6705726014	-0.5626772225	0.5626772225
50	-35	1.03988784787729	0.7019896433	-0.4915384400	0.5890392508
50	-30	1.03899606019573	0.7279029103	-0.4202549412	0.6107830635
50	-25	1.03815419559531	0.7489247156	-0.3492293303	0.6284224527
50	-20	1.03739281014995	0.7654915039	-0.2786161220	0.6423236386
50	-15	1.03675044850375	0.7779771065	-0.2084583374	0.6528003031
50	-10	1.03623197745832	0.7866558909	-0.1387086581	0.6600826679
50	-5	1.03580476906942	0.7916964451	-0.06926446390	0.6643121951
50	-2.38542e-15	1.03544119948132	0.7931939770	-3.302333311e-17	0.6655687736
50	5	1.03513259276365	0.7911826807	0.06921951534	0.6638810956
50	10	1.03485877041119	0.7856134203	0.1385248424	0.6592079312
50	15	1.03461622092874	0.7763755830	0.2080292105	0.6514564654
50	20	1.03440419161795	0.7632862041	0.2778134585	0.6404731724
50	25	1.03419811508710	0.7460707981	0.3478985267	0.6260277315
50	30	1.03404878216892	0.7244369317	0.4182538575	0.6078747622
50	35	1.03399122329093	0.6980090511	0.4887511993	0.5856991374
50	40	1.03392751296404	0.6662633831	0.5590613591	0.5590613591
50	45	1.03387871734039	0.6287227416	0.6287227416	0.5275610206

55	-45	1.03953748455325	0.6587416750	-0.6587416750	0.4612558866
55	-40	1.03923611154355	0.7015496803	-0.5886700780	0.4912303746
55	-35	1.03846764886585	0.7378985317	-0.5166821144	0.5166821144
55	-30	1.03757223766536	0.7683351495	-0.4435985054	0.5379940636
55	-25	1.03680069220506	0.7933872896	-0.3699625690	0.5555357609
55	-20	1.03619770390372	0.8134199489	-0.2960606493	0.5695627799
55	-15	1.03567592570220	0.8286501651	-0.2220361425	0.5802270921
55	-10	1.03522558273973	0.8392974188	-0.1479907798	0.5876823794
55	-5	1.03484234967842	0.8455246619	-0.07397382265	0.5920427420
55	-2.38542e-15	1.03451395326763	0.8474242197	-3.528112051e-17	0.5933728267
55	5	1.03424919163271	0.8450400183	0.07393142182	0.5917033909
55	10	1.03401973492205	0.8383197913	0.1478183977	0.5869978373
55	15	1.03381871329175	0.8271641989	0.2216379791	0.5791866074
55	20	1.03363118871107	0.8114052227	0.2953273490	0.5681520535
55	25	1.03343801530722	0.7908140804	0.3687626618	0.5537339804
55	30	1.03332550838864	0.7651903936	0.4417828798	0.5357920818
55	35	1.03330134819572	0.7342275405	0.5141116586	0.5141116586
55	40	1.03329404183520	0.6975384098	0.5853042224	0.4884216528
55	45	1.03336280242917	0.6548288576	0.6548288576	0.4585161023

60	-45	1.03827741067420	0.6797121181	-0.6797121181	0.3924319744
60	-40	1.03785915173806	0.7271064116	-0.6101147218	0.4197950825
60	-35	1.03701350845886	0.7679214036	-0.5377043555	0.4433596291
60	-30	1.03608153551297	0.8025453065	-0.4633497487	0.4633497487
60	-25	1.03531544100308	0.8313772429	-0.3876775752	0.4799958750
60	-20	1.03486476737246	0.8547618045	-0.3111078542	0.4934969579
60	-15	1.03455534338399	0.8727612570	-0.2338556740	0.5038889467
60	-10	1.03424105963060	0.8854152848	-0.1561226038	0.5111947530
60	-5	1.03394841220120	0.8928664198	-0.07811568977	0.5154966678
60	-2.38542e-15	1.03368395168775	0.8951965616	-3.727004379e-17	0.5168419758
60	5	1.03347964774241	0.8924616181	0.07808027422	0.5152629555
60	10	1.03329787382309	0.8846078220	0.1559802264	0.5107285642
60	15	1.03312977540179	0.8715586335	0.2335334320	0.5031946117
60	20	1.03294520545948	0.8531763140	0.3105307829	0.4925815746
60	25	1.03274040178969	0.8293094393	0.3867133425	0.4788020280
60	30	1.03264731184513	0.7998851683	0.4618139172	0.4618139172
60	35	1.03264432282611	0.7646859673	0.5354388786	0.4414916490
60	40	1.03271642813402	0.7235035072	0.6070915261	0.4177149446
60	45	1.03292415350960	0.6762075887	0.6762075887	0.3904086333

65	-45	1.03727807832330	0.6965767643	-0.6965767643	0.3248190797
65	-40	1.03671146402556	0.7478839287	-0.6275491287	0.3487440034
65	-35	1.03577527006162	0.7926026095	-0.5549863219	0.3695966667
65	-30	1.03473857564667	0.8309140095	-0.4797284271	0.3874615659
65	-25	1.03389643165338	0.8631144513	-0.4024768785	0.4024768785
65	-20	1.03352156387205	0.8895410261	-0.3237664557	0.4147997927
65	-15	1.03344456811157	0.9101654974	-0.2438781100	0.4244171416
65	-10	1.03328859712305	0.9247438329	-0.1630572880	0.4312151311
65	-5	1.03310257384343	0.9333793491	-0.08166011181	0.4352419384
65	-2.38542e-15	1.03291461741829	0.9361385611	-3.897459693e-17	0.4365285801
65	5	1.03278385762275	0.9330913978	0.08163491935	0.4351076646
65	10	1.03265968455313	0.9241809863	0.1629580429	0.4309526714
65	15	1.03252718821448	0.9093575513	0.2436616215	0.4240403902
65	20	1.03233990593255	0.8885239857	0.3233962832	0.4143255390
65	25	1.03212327936867	0.8616341934	0.4017866229	0.4017866229
65	30	1.03206158224604	0.8287643348	0.4784873118	0.3864591561
65	35	1.03211061718273	0.7897983202	0.5530227375	0.3682890051
65	40	1.03228644271214	0.7446917171	0.6248705452	0.3472554507
65	45	1.03261084723966	0.6934425183	0.6934425183	0.3233575568

70	-45	1.03649146913072	0.7097801113	-0.7097801113	0.2583388334
70	-40	1.03586133126169	0.7643614265	-0.6413753911	0.2782048075
70	-35	1.03485257708988	0.8123640181	-0.5688234093	0.2956763220
70	-30	1.03371859301915	0.8538151049	-0.4929503806	0.3107632837
70	-25	1.03278397610318	0.8889061922	-0.4145037648	0.3235353950
70	-20	1.03239571995729	0.9179303835	-0.3340993367	0.3340993367
70	-15	1.03249156525898	0.9408586458	-0.2521023143	0.3424445417
70	-10	1.03243503352440	0.9571220211	-0.1687664362	0.3483639263
70	-5	1.03229783427006	0.9667809776	-0.08458237565	0.3518794989
70	-2.38542e-15	1.03216421806370	0.9699170992	-4.038091108e-17	0.3530209538
70	5	1.03213402248047	0.9666275624	0.08456895357	0.3518236604
70	10	1.03212597487868	0.9568355074	0.1687159161	0.3482596438
70	15	1.03207673773926	0.9404806339	0.2520010263	0.3423069566
70	20	1.03190762733773	0.9174964074	0.3339413824	0.3339413824
70	25	1.03169292065103	0.8879671323	0.4140658740	0.3231936052
70	30	1.03164136552375	0.8520993882	0.4919598112	0.3101388139
70	35	1.03172651189615	0.8099100426	0.5671051171	0.2947831480
70	40	1.03198293145124	0.7614995578	0.6389739981	0.2771631724
70	45	1.03237998111521	0.7069646010	0.7069646010	0.2573140714

75	-45	1.03587555028920	0.7196710069	-0.7196710069	0.1928352651
75	-40	1.03523533523362	0.7768401661	-0.6518462969	0.2081536952
75	-35	1.03417341272350	0.8274479959	-0.5793853242	0.2217140223
75	-30	1.03294758210874	0.8714049335	-0.5031058729	0.2334922482
75	-25	1.03191041969380	0.9088143568	-0.4237870944	0.2435160730
75	-20	1.03146396279064	0.9399222423	-0.3421037187	0.2518514058
75	-15	1.03163802354006	0.9646982576	-0.2584901191	0.2584901191
75	-10	1.03159802285311	0.9823014849	-0.1732062550	0.2632068896
75	-5	1.03148444123309	0.9927987182	-0.08685863301	0.2660196148
75	-2.38542e-15	1.03139525496969	0.9962513139	-4.147729301e-17	0.2669447350
75	5	1.03145922901926	0.9927744516	0.08685650995	0.2660131126
75	10	1.03157366052888	0.9822782868	0.1732021645	0.2632006737
75	15	1.03166699292902	0.9647253473	0.2584973777	0.2584973777
75	20	1.03157905769888	0.9400271226	0.3421418920	0.2518795084
75	25	1.03137346683144	0.9083414567	0.4235665775	0.2433893598
75	30	1.03132659193083	0.8700374499	0.5023163559	0.2331258321
75	35	1.03144156621710	0.8252622301	0.5778548345	0.2211283481
75	40	1.03176513510386	0.7742361294	0.6496612506	0.2074559456
75	45	1.03221384176382	0.7171270473	0.7171270473	0.1921536132

80	-45	1.03542552680514	0.7265310087	-0.7265310087	0.1281070192
80	-40	1.03479481460033	0.7855648682	-0.6591671912	0.1385162814
80	-35	1.03369732449953	0.8380584007	-0.5868148096	0.1477723075
80	-30	1.03239219543252	0.8838324694	-0.5102809141	0.1558435108
80	-25	1.03125506757723	0.9229239213	-0.4303664924	0.1627363885
80	-20	1.03073024906702	0.9555415956	-0.3477886984	0.1684877645
80	-15	1.03092063930636	0.9816564712	-0.2630340587	0.1730925217
80	-10	1.03088395490492	1.000253841	-0.1763717398	0.1763717398
80	-5	1.03078245740815	1.011375543	-0.08848389457	0.1783327958
80	-2.38542e-15	1.03072595131708	1.015066908	-4.226064948e-17	0.1789836831
80	5	1.03086594725377	1.011457461	0.08849106147	0.1783472402
80	10	1.03108205331615	1.000446054	0.1764056320	0.1764056320
80	15	1.03129413548094	0.9820121193	0.2631293543	0.1731552320
80	20	1.03131123777600	0.9560802029	0.3479847354	0.1685827355
80	25	1.03114520559032	0.9228256001	0.4303206445	0.1627190518
80	30	1.03111157668419	0.8827361298	0.5096479422	0.1556501965
80	35	1.03125457278526	0.8360779674	0.5854280953	0.1474231036
80	40	1.03163219748709	0.7831639663	0.6571525952	0.1380929376
80	45	1.03211614255924	0.7242089003	0.7242089003	0.1276975688

85	-45	1.03515077078255	0.7305654789	-0.7305654789	0.06391619737
85	-40	1.03453088320629	0.7907227762	-0.6634951898	0.06917927891
85	-35	1.03341222435710	0.8443561687	-0.5912245543	0.07387159274
85	-30	1.03205231050513	0.8912290407	-0.5145513265	0.07797243766
85	-25	1.03084220812098	0.9313371717	-0.4342896555	0.08148144444
85	-20	1.03025783317701	0.9648704493	-0.3511841235	0.08441522608
85	-15	1.03046296744210	0.9918155547	-0.2657561769	0.08677261735
85	-10	1.03042967798900	1.011029405	-0.1782717625	0.08845361146
85	-5	1.03033616288621	1.022539103	-0.08946057956	0.08946057956
85	-2.38542e-15	1.03029990484519	1.026379303	-4.273162252e-17	0.08979655346
85	5	1.03048891454177	1.022690699	0.08947384246	0.08947384246
85	10	1.03076915775365	1.011362494	0.1783304949	0.08848275291
85	15	1.03105443329087	0.9923848377	0.2659087158	0.08682242315
85	20	1.03113236656847	0.9656894786	0.3514822258	0.08448688187
85	25	1.03101400561506	0.9314923859	0.4343620331	0.08149502393
85	30	1.03099255317883	0.8903138870	0.5140229623	0.07789237209
85	35	1.03115312202659	0.8425103545	0.5899321012	0.07371010492
85	40	1.03156323455027	0.7884545139	0.6615918918	0.06898083167
85	45	1.03206644977182	0.7283886961	0.7283886961	0.06372575355

90	-45	1.03505863614550	0.7318969805	-0.7318969805	0.000000000
90	-40	1.03444300014676	0.7924293120	-0.6649271434	0.000000000
90	-35	1.03331710411409	0.8464438182	-0.5926863422	0.000000000
90	-30	1.03193739557654	0.8936839997	-0.5159686978	0.000000000
90	-25	1.03070039970327	0.9341317984	-0.4355928113	0.000000000
90	-20	1.03009406075203	0.9679717876	-0.3523129183	0.000000000
90	-15	1.03030621608656	0.9951993831	-0.2666628710	0.000000000
90	-10	1.03027478611636	1.014622597	-0.1789053391	0.000000000
90	-5	1.03018420355377	1.026264042	-0.08978646943	0.000000000
90	-2.38542e-15	1.03015465808427	1.030154658	-4.288880326e-17	0.000000000
90	5	1.03036072871179	1.026439895	0.08980185461	0.000000000
90	10	1.03066279529423	1.015004712	0.1789727162	0.000000000
90	15	1.03097269868156	0.9958431559	0.2668353694	0.000000000
90	20	1.03107086927685	0.9688896874	0.3526470065	0.000000000
90	25	1.03097103169233	0.9343770742	0.4357071853	0.000000000
90	30	1.03095410449498	0.8928324446	0.5154770522	0.000000000
90	35	1.03112087152067	0.8446447698	0.5914266349	0.000000000
90	40	1.03154201376297	0.7902070275	0.6630624253	0.000000000
90	45	1.03205144073406	0.7297705723	0.7297705723	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	1.03445248264433	0.5972414193	0.5972414193	0.5972414193
40	45	1.03504082151632	0.5281540117	0.6294294409	0.6294294409
35	45	1.03566512662718	0.4595376726	0.6562878111	0.6562878111
30	45	1.03624162817811	0.3916625209	0.6783793856	0.6783793856
25	45	1.03681904438422	0.3246753352	0.6962685033	0.6962685033
20	45	1.03744330865451	0.2585760733	0.7104319225	0.7104319225
15	45	1.03809056450741	0.1932476050	0.7212098804	0.7212098804
10	45	1.03876982107497	0.1285207887	0.7288776125	0.7288776125
5	45	1.03950888584424	0.06418529261	0.7336412516	0.7336412516
0	45	1.04031920364280	0.000000000	0.7356167635	0.7356167635
-5	45	1.04121513818510	-0.06429064650	0.7348454520	0.7348454520
-10	45	1.04221756456029	-0.1289473574	0.7312968039	0.7312968039
-15	45	1.04335879120603	-0.1942283212	0.7248699630	0.7248699630
-20	45	1.04469821902598	-0.2603843130	0.7154000204	0.7154000204
-25	45	1.04629726822147	-0.3276433995	0.7026335376	0.7026335376
-30	45	1.04806062170195	-0.3961296806	0.6861167331	0.6861167331
-35	45	1.04951904203520	-0.4656848295	0.6650668610	0.6650668610
-40	45	1.05093294518640	-0.5362633429	0.6390937655	0.6390937655
-45	45	1.05223342451941	-0.6075072509	0.6075072509	0.6075072509

45	50	1.03387633216286	0.6287212912	0.6287212912	0.5275598035
40	50	1.03442430191504	0.5593299809	0.6665835142	0.5593299809
35	50	1.03503968713678	0.4892467915	0.6987168301	0.5862930344
30	50	1.03564070061432	0.4188977595	0.7255522026	0.6088105856
25	50	1.03624294203951	0.3485863952	0.7475459368	0.6272655199
20	50	1.03692399388872	0.2784902104	0.7651455646	0.6420333611
15	50	1.03763524956757	0.2086362435	0.7786410609	0.6533574270
10	50	1.03836828697419	0.1389946217	0.7882776711	0.6614435031
5	50	1.03916200498858	0.06948896291	0.7942624805	0.6664653545
0	50	1.04002707352386	0.000000000	0.7967069604	0.6685165166
-5	50	1.04098573610599	-0.06961091616	0.7956564125	0.6676350023
-10	50	1.04206684359734	-0.1394897057	0.7910854317	0.6637994940
-15	50	1.04330523996413	-0.2097763025	0.7828958193	0.6569275932
-20	50	1.04477687309924	-0.2805992849	0.7709401993	0.6468956369
-25	50	1.04654210961388	-0.3520509782	0.7549757591	0.6334998810
-30	50	1.04809330238014	-0.4239346096	0.7342762829	0.6161309582
-35	50	1.04956311745882	-0.4961117860	0.7085210582	0.5945197586
-40	50	1.05102897619990	-0.5683083973	0.6772835742	0.5683083973
-45	50	1.05229600593078	-0.6399226706	0.6399226706	0.5369588769

45	55	1.03336150113285	0.6548280329	0.6548280329	0.4585155249
40	55	1.03390057643723	0.5856477909	0.6979478588	0.4887083520
35	55	1.03447016346277	0.5146931942	0.7350580594	0.5146931942
30	55	1.03506569687377	0.4425268713	0.7664790249	0.5366943911
25	55	1.03566267287079	0.3695564885	0.7925164471	0.5549259904
20	55	1.03635065022482	0.2961043489	0.8135400124	0.5696468493
15	55	1.03709418587426	0.2223402000	0.8297849230	0.5810216582
10	55	1.03785265680804	0.1483663334	0.8414272893	0.5891737308
5	55	1.03867383970897	0.07424770974	0.8486552057	0.5942347724
0	55	1.03956306782156	0.000000000	0.8515602122	0.5962688798
-5	55	1.04055072514006	-0.07438187548	0.8501887271	0.5953085556
-10	55	1.04166813195887	-0.1489117751	0.8445206426	0.5913397201
-15	55	1.04293022223421	-0.2235913742	0.8344543687	0.5842912393
-20	55	1.04437415395293	-0.2983968108	0.8198384996	0.5740570976
-25	55	1.04594095778100	-0.3732240986	0.8003816624	0.5604332734
-30	55	1.04748670256315	-0.4478372867	0.7756769341	0.5431348365
-35	55	1.04915915806065	-0.5220015979	0.7454955416	0.5220015979
-40	55	1.05083582013347	-0.5952406747	0.7093802125	0.4967133723
-45	55	1.05222086715162	-0.6667789732	0.6667789732	0.4668836633

45	60	1.03292429345008	0.6762076803	0.6762076803	0.3904086862
40	60	1.03342645856024	0.6075089237	0.7240009424	0.4180021390
35	60	1.03391629189950	0.5360984104	0.7656278762	0.4420354604
30	60	1.03449376134712	0.4626396745	0.8013154219	0.4626396745
25	60	1.03511361131547	0.3876019993	0.8312151700	0.4799023022
20	60	1.03583679924615	0.3114000728	0.8555646685	0.4939604917
15	60	1.03663713788659	0.2343262525	0.8745174797	0.5049029023
10	60	1.03743851296015	0.1566052715	0.8881526292	0.5127751596
5	60	1.03828656830864	0.07844344119	0.8966126356	0.5176595465
0	60	1.03918363809808	0.000000000	0.8999594298	0.5195918190
-5	60	1.04016726281299	-0.07858552927	0.8982367098	0.5185972062
-10	60	1.04126991885908	-0.1571836367	0.8914327014	0.5146689101
-15	60	1.04248521018869	-0.2356481778	0.8794509721	0.5077512555
-20	60	1.04383254599146	-0.3138038068	0.8621688734	0.4977734311
-25	60	1.04522774639987	-0.3913892735	0.8393370055	0.4845914461
-30	60	1.04678236635782	-0.4681353058	0.8108341344	0.4681353058
-35	60	1.04867346980844	-0.5437501900	0.7765557500	0.4483446713
-40	60	1.05064778697306	-0.6176326346	0.7360659112	0.4249678520
-45	60	1.05225132820551	-0.6888601945	0.6888601945	0.3977136187

45	65	1.03261107823093	0.6934426734	0.6934426734	0.3233576291
40	65	1.03306780375886	0.6253435239	0.7452553912	0.3475182962
35	65	1.03346226640702	0.5537469745	0.7908326379	0.3687713154
30	65	1.03399272821986	0.4793826352	0.8303150804	0.3871822807
25	65	1.03461847485889	0.4027579566	0.8637172253	0.4027579566
20	65	1.03538288655255	0.3243495435	0.8911430468	0.4155468272
15	65	1.03625980688977	0.2445424660	0.9126449078	0.4255733097
10	65	1.03712473760790	0.1636626471	0.9281769950	0.4328160409
5	65	1.03800783105864	0.08204784084	0.9378111121	0.4373085035
0	65	1.03890516922570	0.000000000	0.9415678449	0.4390602967
-5	65	1.03986111875347	-0.08219433130	0.9394855058	0.4380892861
-10	65	1.04091396222796	-0.1642606027	0.9315681697	0.4343973716
-15	65	1.04204895740514	-0.2459086226	0.9177434735	0.4279508099
-20	65	1.04329783100249	-0.3268290210	0.8979553553	0.4187234589
-25	65	1.04457810238738	-0.4066350566	0.8720316930	0.4066350566
-30	65	1.04622607025285	-0.4850542918	0.8401386779	0.3917630994
-35	65	1.04832982564231	-0.5617132702	0.8022096872	0.3740765206
-40	65	1.05064370612257	-0.6359826869	0.7579346519	0.3534307326
-45	65	1.05248613596014	-0.7067896280	0.7067896280	0.3295814162

45	70	1.03238014648411	0.7069647142	0.7069647142	0.2573141127
40	70	1.03281461565531	0.6394889529	0.7621132570	0.2773865407
35	70	1.03316355535714	0.5678950112	0.8110381283	0.2951937376
30	70	1.03365378088027	0.4929194736	0.8537615723	0.3107437995
25	70	1.03429062560547	0.4151084526	0.8902029494	0.3240073760
20	70	1.03510233854354	0.3349752407	0.9203369098	0.3349752407
15	70	1.03607720835694	0.2529778168	0.9441260655	0.3436337852
10	70	1.03703126123086	0.1695177560	0.9613829679	0.3499147841
5	70	1.03796427010490	0.08504666085	0.9720877817	0.3538110176
0	70	1.03885910125041	0.000000000	0.9762082315	0.3553107387
-5	70	1.03977074571497	-0.08519467627	0.9737796057	0.3544267912
-10	70	1.04074599060592	-0.1701249823	0.9648267190	0.3511682070
-15	70	1.04177798224970	-0.2543697684	0.9493208996	0.3455245502
-20	70	1.04292775096368	-0.3375076660	0.9272946913	0.3375076660
-25	70	1.04415356743789	-0.4190669053	0.8986918786	0.3270970936
-30	70	1.04592389119341	-0.4987707329	0.8638962507	0.3144325208
-35	70	1.04821512182047	-0.5761683475	0.8228536770	0.2994942456
-40	70	1.05074274523624	-0.6505895324	0.7753424126	0.2822015595
-45	70	1.05275548006487	-0.7209175609	0.7209175609	0.2623925335

45	75	1.03221389118956	0.7171270817	0.7171270817	0.1921536224
40	75	1.03263202041988	0.6502070936	0.7748866398	0.2076302494
35	75	1.03295770043678	0.5787042336	0.8264752977	0.2214533886
30	75	1.03341981522300	0.5033358780	0.8718033140	0.2335989940
25	75	1.03407798341303	0.4246772739	0.9107233529	0.2440275869
20	75	1.03495877659236	0.3432628371	0.9431068938	0.2527047306
15	75	1.03605986664808	0.2595980685	0.9688331812	0.2595980685
10	75	1.03712099221395	0.1741335666	0.9875605305	0.2646160466
5	75	1.03810092960191	0.08741579036	0.9991670559	0.2677260057
0	75	1.03897419134019	0.000000000	1.003572004	0.2689063081
-5	75	1.03984210312137	-0.08756241007	1.000842927	0.2681750540
-10	75	1.04073145269667	-0.1747397662	0.9909984594	0.2655372369
-15	75	1.04163513376836	-0.2609950231	0.9740466866	0.2609950231
-20	75	1.04264339632161	-0.3458115805	0.9501095088	0.2545810756
-25	75	1.04384330247069	-0.4286877153	0.9193237721	0.2463320623
-30	75	1.04573580472377	-0.5093344851	0.8821932062	0.2363829572
-35	75	1.04816323437494	-0.5872229821	0.8386413314	0.2247132675
-40	75	1.05078949952270	-0.6616401322	0.7885120046	0.2112811548
-45	75	1.05295082309549	-0.7315339944	0.7315339944	0.1960139430

45	80	1.03211614998701	0.7242089055	0.7242089055	0.1276975697
40	80	1.03252436731008	0.6577209099	0.7838412573	0.1382123623
35	80	1.03283451582032	0.5863250058	0.8373588884	0.1476489646
30	80	1.03327647139042	0.5107179856	0.8845894994	0.1559769956
25	80	1.03395788986654	0.4314944424	0.9253428179	0.1631629052
20	80	1.03490668039385	0.3491979086	0.9594133689	0.1691704626
15	80	1.03611303337979	0.2643588711	0.9866007385	0.1739643294
10	80	1.03720416360239	0.1774530508	1.006386261	0.1774530508
5	80	1.03811920733412	0.08911369207	1.018574161	0.1796021065
0	80	1.03894026044663	0.000000000	1.023156423	0.1804100829
-5	80	1.03978053359589	-0.08925630278	1.020204209	0.1798895279
-10	80	1.04066890253109	-0.1780458256	1.009748054	0.1780458256
-15	80	1.04149092122050	-0.2657310114	0.9917216355	0.1748672817
-20	80	1.04226462058617	-0.3516806226	0.9662345696	0.1703732243
-25	80	1.04356888120930	-0.4355053304	0.9339441951	0.1646795601
-30	80	1.04559249391666	-0.5168054311	0.8951332643	0.1578361458
-35	80	1.04811240650904	-0.5949980403	0.8497452652	0.1498330170
-40	80	1.05076765434285	-0.6693419348	0.7976906554	0.1406543848
-45	80	1.05306281087997	-0.7389066296	0.7389066296	0.1302891750

45	85	1.03206644955175	0.7283886959	0.7283886959	0.06372575353
40	85	1.03247169906377	0.6621745345	0.7891488804	0.06904158087
35	85	1.03277575821206	0.5908604262	0.8438361399	0.07382609612
30	85	1.03320885197368	0.5151279445	0.8922277724	0.07805981536
25	85	1.03391237760967	0.4355831055	0.9341109842	0.08172412159
20	85	1.03491654137151	0.3527721379	0.9692334832	0.08479694209
15	85	1.03618451814833	0.2672317636	0.9973225192	0.08725441431
10	85	1.03723657974692	0.1794494055	1.017708151	0.08903792600
5	85	1.03810404726591	0.09013503850	1.030248204	0.09013503850
0	85	1.03888636338164	0.000000000	1.034933087	0.09054491263
-5	85	1.03970674126497	-0.09027419496	1.031838770	0.09027419496
-10	85	1.04059209152914	-0.1800299333	1.021000488	0.08932596811
-15	85	1.04140020327561	-0.2685768877	1.002342591	0.08769361365
-20	85	1.04206485326094	-0.3552087839	0.9759281131	0.08538264631
-25	85	1.04339903705077	-0.4395797968	0.9426819163	0.08247398098
-30	85	1.04550038739354	-0.5212561473	0.9028421310	0.07898845141
-35	85	1.04807700451547	-0.5996144087	0.8563381226	0.07491987787
-40	85	1.05075585039323	-0.6739010538	0.8031240020	0.07026424558
-45	85	1.05312248845794	-0.7432491545	0.7432491545	0.06502587519

45	90	1.03205144031591	0.7297705720	0.7297705720	0.000000000
40	90	1.03245627677221	0.6636501023	0.7909073936	0.000000000
35	90	1.03275873880790	0.5923660770	0.8459864322	0.000000000
30	90	1.03318924004096	0.5165946200	0.8947681288	0.000000000
25	90	1.03390136230048	0.4369455965	0.9370328557	0.000000000
20	90	1.03492621085055	0.3539656110	0.9725125234	0.000000000
15	90	1.03621239294529	0.2681915021	1.000904312	0.000000000
10	90	1.03724560503614	0.1801158091	1.021487514	0.000000000
5	90	1.03809497064486	0.09047593821	1.034144706	0.000000000
0	90	1.03886286032174	0.000000000	1.038862860	0.000000000
-5	90	1.03967543555403	-0.09061368480	1.035719157	0.000000000
-10	90	1.04055835034973	-0.1806910613	1.024749931	0.000000000
-15	90	1.04135897629577	-0.2695235359	1.005875530	0.000000000
-20	90	1.04199850389099	-0.3563844776	0.9791583050	0.000000000
-25	90	1.04334135666963	-0.4409351106	0.9455883961	0.000000000
-30	90	1.04546884684155	-0.5227344234	0.9054025802	0.000000000
-35	90	1.04806606192223	-0.6011459969	0.8585254572	0.000000000
-40	90	1.05075814687045	-0.6754143176	0.8049274395	0.000000000
-45	90	1.05314264026980	-0.7446843025	0.7446843025	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	1.05314270412144	-0.7446843476	0.7446843476	9.119451837e-17
-90	40	1.05351303925468	-0.8070378095	0.6771851283	9.883036293e-17
-90	35	1.05186019067645	-0.8616334255	0.6033222197	1.055161768e-16
-90	30	1.04966475331303	-0.9090363418	0.5248323767	1.113211680e-16
-90	25	1.04733433435124	-0.9492072629	0.4426226158	1.162405245e-16
-90	20	1.04523028088606	-0.9821951820	0.3574898105	1.202802461e-16
-90	15	1.04339184465225	-1.007839130	0.2700496809	1.234206202e-16
-90	10	1.04173204408545	-1.025905794	0.1808948711	1.256330753e-16
-90	5	1.04042167512444	-1.036462557	0.09067872387	1.269258632e-16
-90	0	1.03980589324450	-1.039805893	1.273352904e-16	1.273352904e-16
-90	-5	1.04020954806332	-1.036251237	-0.09066023577	1.268999849e-16
-90	-10	1.04129705457180	-1.025477413	-0.1808193359	1.255806155e-16
-90	-15	1.04271406583858	-1.007184446	-0.2698742588	1.233404472e-16
-90	-20	1.04428143098090	-0.9813035547	-0.3571652847	1.201710568e-16
-90	-25	1.04607690747523	-0.9480676471	-0.4420912043	1.161009664e-16
-90	-30	1.04805090312880	-0.9076387066	-0.5240254516	1.111500127e-16
-90	-35	1.04982411351130	-0.8599655687	-0.6021543738	1.053119300e-16
-90	-40	1.05096143294129	-0.8050831656	-0.6755449874	9.859099600e-17
-90	-45	1.04989127822359	-0.7423852423	-0.7423852423	9.091296848e-17

-85	45	1.05312259826869	-0.7432492320	0.7432492320	0.06502588197
-85	40	1.05349587208279	-0.8052182822	0.6756583636	0.07044747136
-85	35	1.05187692008356	-0.8594428683	0.6017883750	0.07519150792
-85	30	1.04973171250939	-0.9064960929	0.5233657632	0.07930813166
-85	25	1.04746699542138	-0.9463572031	0.4412936112	0.08279552692
-85	20	1.04544176754365	-0.9790907047	0.3563598732	0.08565933723
-85	15	1.04368595661768	-1.004542617	0.2691663830	0.08788609101
-85	10	1.04210754878073	-1.022487413	0.1802921183	0.08945605721
-85	5	1.04086184202751	-1.032985130	0.09037448843	0.09037448843
-85	0	1.04027370119514	-1.036315146	1.269078112e-16	0.09066582709
-85	-5	1.04065376777604	-1.032778630	-0.09035642205	0.09035642205
-85	-10	1.04168085680699	-1.022068754	-0.1802182975	0.08941942934
-85	-15	1.04302097535740	-1.003902576	-0.2689948845	0.08783009466
-85	-20	1.04451041787789	-0.9782184650	-0.3560424039	0.08558302614
-85	-25	1.04623190475417	-0.9452413332	-0.4407732725	0.08269790095
-85	-30	1.04814503418326	-0.9051259164	-0.5225746915	0.07918825675
-85	-35	1.04987238485238	-0.8578050497	-0.6006415621	0.07504821737
-85	-40	1.05097941757354	-0.8032948810	-0.6740444384	0.07027919556
-85	-45	1.04991381580863	-0.7409846095	-0.7409846095	0.06482775318

-80	45	1.05306289086431	-0.7389066857	0.7389066857	0.1302891849
-80	40	1.05344400391677	-0.7997224072	0.6710467769	0.1410126375
-80	35	1.05193999269568	-0.8528484374	0.5971709048	0.1503801900
-80	30	1.04993873937966	-0.8988540914	0.5189536516	0.1584922280
-80	25	1.04786210559688	-0.9377864254	0.4372969919	0.1653570489
-80	20	1.04606241575173	-0.9697553271	0.3529620736	0.1709940288
-80	15	1.04453932822811	-0.9946243696	0.2665087966	0.1753791120
-80	10	1.04318615087452	-1.012190509	0.1784764963	0.1784764963
-80	5	1.04211741991685	-1.022497098	0.08945690456	0.1802938261
-80	0	1.04160484186107	-1.025780524	1.256177347e-16	0.1808727826
-80	-5	1.04192144182769	-1.022304810	-0.08944008151	0.1802599204
-80	-10	1.04278417717335	-1.011800479	-0.1784077235	0.1784077235
-80	-15	1.04391240269059	-0.9940274027	-0.2663488398	0.1752738507
-80	-20	1.04518306710546	-0.9689401242	-0.3526653640	0.1708502866
-80	-25	1.04669346817770	-0.9367405508	-0.4368092926	0.1651726330
-80	-30	1.04843341746421	-0.8975653831	-0.5182096155	0.1582649940
-80	-35	1.05003092196355	-0.8513006799	-0.5960871534	0.1501072786
-80	-40	1.05103254322513	-0.7978917459	-0.6695106697	0.1406898425
-80	-45	1.04998093000806	-0.7367441544	-0.7367441544	0.1299078723

-75	45	1.05295013362530	-0.7315335154	0.7315335154	0.1960138147
-75	40	1.05334830180819	-0.7904321287	0.6632513077	0.2117956506
-75	35	1.05209226002839	-0.8417849670	0.5894241794	0.2255556021
-75	30	1.05029371258235	-0.8860383030	0.5115544527	0.2374132477
-75	25	1.04851039511612	-0.9234341297	0.4306044065	0.2474334293
-75	20	1.04705890574413	-0.9541331447	0.3472760642	0.2556592056
-75	15	1.04588283278603	-0.9780187658	0.2620593385	0.2620593385
-75	10	1.04485456940511	-0.9949245465	0.1754320413	0.2665892288
-75	5	1.04403625705015	-1.004879779	0.08791558891	0.2692567254
-75	0	1.04363060169667	-1.008069751	1.234488623e-16	0.2701114758
-75	-5	1.04386012158616	-1.004710250	-0.08790075699	0.2692113001
-75	-10	1.04449305041040	-0.9945803032	-0.1753713419	0.2664969891
-75	-15	1.04531806014024	-0.9774906394	-0.2619178274	0.2619178274
-75	-20	1.04626438560959	-0.9534091377	-0.3470125472	0.2554652085
-75	-25	1.04745011523090	-0.9225003300	-0.4301689685	0.2471832185
-75	-30	1.04892173965764	-0.8848808929	-0.5108862217	0.2371031206
-75	-35	1.05034535842682	-0.8403872611	-0.5884454953	0.2251810880
-75	-40	1.05111024758377	-0.7887526938	-0.6618420944	0.2113456473
-75	-45	1.05006860372399	-0.7295315823	-0.7295315823	0.1954773983

-70	45	1.05275495647189	-0.7209172023	0.7209172023	0.2623924030
-70	40	1.05318000644258	-0.7771408661	0.6520986141	0.2828561431
-70	35	1.05225430407065	-0.8260244536	0.5783885492	0.3006483139
-70	30	1.05078563230936	-0.8679118775	0.5010891561	0.3158940894
-70	25	1.04941291905573	-0.9032185466	0.4211777253	0.3287446660
-70	20	1.04841038564659	-0.9321694470	0.3392819320	0.3392819320
-70	15	1.04765514921493	-0.9546764720	0.2558047897	0.3474738192
-70	10	1.04700197121204	-0.9706263448	0.1711476128	0.3532790981
-70	5	1.04646481176002	-0.9800488194	0.08574316140	0.3567085984
-70	0	1.04617929928921	-0.9830869676	1.203894547e-16	0.3578143939
-70	-5	1.04631559945784	-0.9799090771	-0.08573093554	0.3566577364
-70	-10	1.04669526498134	-0.9703420119	-0.1710974772	0.3531756094
-70	-15	1.04717453221841	-0.9542385095	-0.2556874380	0.3473144138
-70	-20	1.04773076811530	-0.9315651811	-0.3390619972	0.3390619972
-70	-25	1.04849916520994	-0.9024320884	-0.4208109938	0.3284584186
-70	-30	1.04959127053172	-0.8669253767	-0.5005195996	0.3155350325
-70	-35	1.05071292316476	-0.8248144625	-0.5775413043	0.3002079132
-70	-40	1.05118027263878	-0.7756652638	-0.6508604368	0.2823190678
-70	-45	1.05014752264495	-0.7191316549	-0.7191316549	0.2617425169

-65	45	1.05248555875143	-0.7067892404	0.7067892404	0.3295812355
-65	40	1.05297368906751	-0.7596155022	0.6373930877	0.3542145259
-65	35	1.05243815126174	-0.8053534865	0.5639145822	0.3755424983
-65	30	1.05147355731351	-0.8443525060	0.4874871466	0.3937280397
-65	25	1.05062399050799	-0.8770789039	0.4089886097	0.4089886097
-65	20	1.05014155824833	-0.9038456786	0.3289729234	0.4214701617
-65	15	1.04983668470800	-0.9246022069	0.2477464147	0.4311490898
-65	10	1.04956053496586	-0.9393064384	0.1656250682	0.4380057856
-65	5	1.04929728146476	-0.9480108155	0.08294019926	0.4420647033
-65	0	1.04912966896032	-0.9508343886	1.164397834e-16	0.4433813570
-65	-5	1.04918094995360	-0.9479057132	-0.08293100400	0.4420156933
-65	-10	1.04932078893590	-0.9390918771	-0.1655872353	0.4379057340
-65	-15	1.04945907134461	-0.9242696388	-0.2476573033	0.4309940108
-65	-20	1.04960323134203	-0.9033823464	-0.3288042842	0.4212541064
-65	-25	1.04989186809939	-0.8764677156	-0.4087036079	0.4087036079
-65	-30	1.05050239432110	-0.8435726443	-0.4870368933	0.3933643843
-65	-35	1.05115825784170	-0.8043740782	-0.5632287931	0.3750857927
-65	-40	1.05128170936205	-0.7583949076	-0.6363688872	0.3536453533
-65	-45	1.05023533902928	-0.7052781212	-0.7052781212	0.3288765891

-60	45	1.05225094881618	-0.6888599461	0.6888599461	0.3977134753
-60	40	1.05289391579958	-0.7376395108	0.6189530414	0.4258763701
-60	35	1.05282046360221	-0.7796266505	0.5459004577	0.4501176565
-60	30	1.05246713246719	-0.8152375353	0.4706776105	0.4706776105
-60	25	1.05219746928825	-0.8449338205	0.3939991112	0.4878227687
-60	20	1.05220884899578	-0.8690874043	0.3163219461	0.5017678468
-60	15	1.05229017738448	-0.8877225407	0.2378645379	0.5125268478
-60	10	1.05231694765749	-0.9008900790	0.1588512276	0.5201291296
-60	5	1.05227519987895	-0.9086925220	0.07950029431	0.5246338722
-60	0	1.05220816046686	-0.9112389970	1.115909066e-16	0.5261040802
-60	-5	1.05219625247417	-0.9086243470	-0.07949432977	0.5245945113
-60	-10	1.05215350285582	-0.9007501536	-0.1588265550	0.5200483437
-60	-15	1.05203047621244	-0.8875034542	-0.2378058338	0.5124003582
-60	-20	1.05183333435915	-0.8687772424	-0.3162090564	0.5015887748
-60	-25	1.05167696337546	-0.8445158448	-0.3938042058	0.4875814503
-60	-30	1.05175755487685	-0.8146878989	-0.4703602777	0.4703602777
-60	-35	1.05185727547508	-0.7789133977	-0.5454010327	0.4497058598
-60	-40	1.05158041331569	-0.7367192933	-0.6181808873	0.4253450823
-60	-45	1.05044607044699	-0.6876783759	-0.6876783759	0.3970312954

-55	45	1.05222097737784	-0.6667790430	0.6667790430	0.4668837123
-55	40	1.05302626168967	-0.7108588982	0.5964814393	0.4977487591
-55	35	1.05335179707213	-0.7484746832	0.5240876153	0.5240876153
-55	30	1.05354366623819	-0.7801621910	0.4504268510	0.5462754472
-55	25	1.05386211323626	-0.8064431398	0.3760506120	0.5646775657
-55	20	1.05431949140759	-0.8276456351	0.3012383757	0.5795237127
-55	15	1.05467914962875	-0.8438547520	0.2261101993	0.5908734585
-55	10	1.05490281599762	-0.8552505128	0.1508037407	0.5988528561
-55	5	1.05502366486748	-0.8620139365	0.07541644725	0.6035886564
-55	0	1.05503671028243	-0.8642354780	1.058348258e-16	0.6051441965
-55	-5	1.05498436098878	-0.8619818230	-0.07541363768	0.6035661703
-55	-10	1.05482054991932	-0.8551838165	-0.1507919803	0.5988061549
-55	-15	1.05454602654731	-0.8437482395	-0.2260816594	0.5907988776
-55	-20	1.05411994008547	-0.8274889864	-0.3011813602	0.5794140261
-55	-25	1.05357224701111	-0.8062213265	-0.3759471787	0.5645222503
-55	-30	1.05312689884277	-0.7798535696	-0.4502486683	0.5460593481
-55	-35	1.05275208037537	-0.7480485456	-0.5237892306	0.5237892306
-55	-40	1.05215614820130	-0.7102715169	-0.5959885679	0.4973374703
-55	-45	1.05094662277348	-0.6659715007	-0.6659715007	0.4663182651

-50	45	1.05229578326590	-0.6399225352	0.6399225352	0.5369587632
-50	40	1.05316572486764	-0.6786604961	0.5694637719	0.5694637719
-50	35	1.05374058659671	-0.7113411124	0.4980864091	0.5968860651
-50	30	1.05430002253451	-0.7386246051	0.4264451146	0.6197796338
-50	25	1.05503224905756	-0.7611005479	0.3549070141	0.6386391891
-50	20	1.05582671406169	-0.7790938700	0.2835669784	0.6537373790
-50	15	1.05648407995660	-0.7927852154	0.2124261582	0.6652257818
-50	10	1.05693536157015	-0.8023728727	0.1414799860	0.6732707815
-50	5	1.05718583421759	-0.8080386302	0.07069421983	0.6780249166
-50	0	1.05725916617646	-0.8099075092	9.918178818e-17	0.6795930922
-50	-5	1.05718569370571	-0.8080385228	-0.07069421044	0.6780248264
-50	-10	1.05693315413854	-0.8023711969	-0.1414796906	0.6732693754
-50	-15	1.05647533039063	-0.7927786497	-0.2124243990	0.6652202726
-50	-20	1.05580277126678	-0.7790762026	-0.2835605480	0.6537225543
-50	-25	1.05497798016608	-0.7610613983	-0.3548887584	0.6386063387
-50	-30	1.05418975935454	-0.7385473566	-0.4264005152	0.6197148146
-50	-35	1.05353136724320	-0.7111998762	-0.4979875145	0.5967675538
-50	-40	1.05278516849881	-0.6784152654	-0.5692579989	0.5692579989
-50	-45	1.05162413946316	-0.6395140949	-0.6395140949	0.5366160411

-45	45	1.05223353213002	-0.6075073130	0.6075073130	0.6075073130
-45	40	1.05299086364441	-0.6403452277	0.5373134444	0.6403452277
-45	35	1.05358025570351	-0.6676404004	0.4674868412	0.6676404004
-45	30	1.05421877887123	-0.6901481933	0.3984572452	0.6901481933
-45	25	1.05500762272596	-0.7084829146	0.3303710088	0.7084829146
-45	20	1.05576297916824	-0.7229770694	0.2631421333	0.7229770694
-45	15	1.05636162696314	-0.7339036388	0.1966488873	0.7339036388
-45	10	1.05677832621893	-0.7415137095	0.1307488736	0.7415137095
-45	5	1.05702734698407	-0.7460050379	0.06526698375	0.7460050379
-45	0	1.05711844335710	-0.7474956198	9.153878855e-17	0.7474956198
-45	-5	1.05706308818738	-0.7460302625	-0.06526919062	0.7460302625
-45	-10	1.05684967398485	-0.7415637724	-0.1307577010	0.7415637724
-45	-15	1.05646799073455	-0.7339775346	-0.1966686877	0.7339775346
-45	-20	1.05590276832415	-0.7230727958	-0.2631769749	0.7230727958
-45	-25	1.05517624051510	-0.7085961487	-0.3304238107	0.7085961487
-45	-30	1.05440468948918	-0.6902699004	-0.3985275128	0.6902699004
-45	-35	1.05375866010247	-0.6677534530	-0.4675660015	0.6677534530
-45	-40	1.05311230011115	-0.6404190757	-0.5373754102	0.6404190757
-45	-45	1.05220435273382	-0.6074904663	-0.6074904663	0.6074904663


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	1.04989119204060	-0.7423851814	-0.7423851814	9.091296101e-17
-40	-90	1.04656488325645	-0.6727189397	-0.8017152132	9.817855440e-17
-35	-90	1.04273572411277	-0.5980886407	-0.8541591001	1.046008661e-16
-30	-90	1.03876761991632	-0.5193838100	-0.8995991475	1.101654832e-16
-25	-90	1.03495912448449	-0.4373926262	-0.9379915138	1.148670368e-16
-20	-90	1.03148256127340	-0.3527878134	-0.9692765513	1.186982223e-16
-15	-90	1.02818581186667	-0.2661140700	-0.9931512299	1.216219306e-16
-10	-90	1.02524313721488	-0.1780316024	-1.009667390	1.236445101e-16
-5	-90	1.02308030132583	-0.08916732355	-1.019187172	1.248103086e-16
-1.42109e-14	-90	1.02214637958251	1.251726951e-16	-1.022146380	1.251726951e-16
5	-90	1.02242256272920	0.08910999786	-1.018531936	1.247300681e-16
10	-90	1.02352722046918	0.1777336366	-1.007977542	1.234375703e-16
15	-90	1.02511970039760	0.2653205020	-0.9901895937	1.212592468e-16
20	-90	1.02705471237222	0.3512733999	-0.9651157344	1.181886860e-16
25	-90	1.02939218128851	0.4350399343	-0.9329461498	1.142491783e-16
30	-90	1.03170979329815	0.5158548966	-0.8934868903	1.094169723e-16
35	-90	1.03359736887745	0.5928470955	-0.8466733977	1.036841622e-16
40	-90	1.03477924860545	0.6651432798	-0.7926868932	9.707294061e-17
45	-90	1.03505864425077	0.7318969863	-0.7318969863	8.962856997e-17

-45	-85	1.04991369278155	-0.7409845227	-0.7409845227	0.06482774558
-40	-85	1.04663675602808	-0.6712592774	-0.7999756554	0.06998880095
-35	-85	1.04284893222891	-0.5966233809	-0.8520664922	0.07454615864
-30	-85	1.03894199950866	-0.5179863255	-0.8971786334	0.07849295958
-25	-85	1.03521909377366	-0.4361336197	-0.9352915658	0.08182740910
-20	-85	1.03184185141992	-0.3517240680	-0.9663539346	0.08454501423
-15	-85	1.02865474366645	-0.2652898364	-0.9900751482	0.08662035151
-10	-85	1.02581512790609	-0.1774734120	-1.006501735	0.08805749164
-5	-85	1.02372225134015	-0.08888631615	-1.015975243	0.08888631615
-1.42109e-14	-85	1.02280215258296	1.247763760e-16	-1.018910082	0.08914308129
5	-85	1.02303590044729	0.08882672264	-1.015294086	0.08882672264
10	-85	1.02406188546539	0.1771700885	-1.004781502	0.08790699071
15	-85	1.02556146449356	0.2644920804	-0.9870978822	0.08635987448
20	-85	1.02740306833396	0.3502110194	-0.9621968678	0.08418131801
25	-85	1.02965371859412	0.4337889497	-0.9302634046	0.08138750199
30	-85	1.03190160623376	0.5144761898	-0.8910989000	0.07796105183
35	-85	1.03374306901641	0.5914138335	-0.8446264875	0.07389524257
40	-85	1.03490186135564	0.6637331162	-0.7910063258	0.06920408629
45	-85	1.03515078946981	0.7305654921	-0.7305654921	0.06391619852

-45	-80	1.04998122458739	-0.7367443611	-0.7367443611	0.1299079087
-40	-80	1.04687595884359	-0.6668629139	-0.7947362734	0.1401334475
-35	-80	1.04318504412160	-0.5922008489	-0.8457504620	0.1491286254
-30	-80	1.03945506366594	-0.5137718809	-0.8898790013	0.1569096775
-25	-80	1.03597983406516	-0.4323382463	-0.9271523611	0.1634819765
-20	-80	1.03288330466670	-0.3485151818	-0.9575375923	0.1688397126
-15	-80	1.02999929830860	-0.2627989833	-0.9807791579	0.1729378277
-10	-80	1.02744056689830	-0.1757826179	-0.9969127650	0.1757826179
-5	-80	1.02553713907353	-0.08803362867	-1.006228980	0.1774253180
-1.42109e-14	-80	1.02465482447539	1.235735595e-16	-1.009088015	0.1779294430
5	-80	1.02477470471844	0.08796818017	-1.005480900	0.1772934113
10	-80	1.02558818779389	0.1754656983	-0.9951154247	0.1754656983
15	-80	1.02683480438057	0.2619915791	-0.9777658843	0.1724065062
20	-80	1.02842048508120	0.3470093385	-0.9534003219	0.1681102002
25	-80	1.03042301902246	0.4300192594	-0.9221792777	0.1626050877
30	-80	1.03247073864046	0.5103197357	-0.8838997104	0.1558553672
35	-80	1.03417695140424	0.5870870868	-0.8384472528	0.1478408726
40	-80	1.03526482874576	0.6594665915	-0.7859216796	0.1385791968
45	-80	1.03542561299015	0.7265310692	-0.7265310692	0.1281070298

-45	-75	1.05006894102287	-0.7295318167	-0.7295318167	0.1954774611
-40	-75	1.04721273715913	-0.6593879880	-0.7858280036	0.2105619789
-35	-75	1.04371181516160	-0.5847291189	-0.8350797257	0.2237589381
-30	-75	1.04028091415806	-0.5066776344	-0.8775914059	0.2351499085
-25	-75	1.03719496980856	-0.4259573643	-0.9134685156	0.2447631511
-20	-75	1.03451786156148	-0.3431165996	-0.9427051097	0.2525970728
-15	-75	1.03206898415643	-0.2585981018	-0.9651012546	0.2585981018
-10	-75	1.02990340348163	-0.1729217268	-0.9806878456	0.2627745163
-5	-75	1.02826202654129	-0.08658728181	-0.9896971599	0.2651885547
-1.42109e-14	-75	1.02743240415817	1.215328116e-16	-0.9924234939	0.2659190738
5	-75	1.02739679107134	0.08651442258	-0.9888643750	0.2649654107
10	-75	1.02791710546623	0.1725882256	-0.9787964660	0.2622677226
15	-75	1.02880844306578	0.2577811314	-0.9620522798	0.2577811314
20	-75	1.03002519315966	0.3416265247	-0.9386111625	0.2515001030
25	-75	1.03165839287712	0.4236835915	-0.9085923941	0.2434565983
30	-75	1.03340010001484	0.5033262756	-0.8717866821	0.2335945374
35	-75	1.03488913059148	0.5797862980	-0.8280206458	0.2218674634
40	-75	1.03585136785299	0.6522341880	-0.7773024368	0.2082775602
45	-75	1.03587582118728	0.7196711951	-0.7196711951	0.1928353155

-45	-70	1.05014800945586	-0.7191319883	-0.7191319883	0.2617426382
-40	-70	1.04759086437307	-0.6486379789	-0.7730166417	0.2813550482
-35	-70	1.04441436576078	-0.5740792006	-0.8198700661	0.2984083000
-30	-70	1.04140790298305	-0.4966171893	-0.8601662037	0.3130748947
-25	-70	1.03882331202405	-0.4169276284	-0.8941041844	0.3254273095
-20	-70	1.03665151396811	-0.3354765780	-0.9217143227	0.3354765780
-15	-70	1.03469859540161	-0.2526412024	-0.9428698035	0.3431765433
-10	-70	1.03296460737318	-0.1688530027	-0.9576129642	0.3485426149
-5	-70	1.03160534242570	-0.08452563563	-0.9661324361	0.3516434491
-1.42109e-14	-70	1.03083233458724	1.186233973e-16	-0.9686655381	0.3525654228
5	-70	1.03063131092320	0.08444582736	-0.9652202235	0.3513114309
10	-70	1.03083569819161	0.1685050017	-0.9556393525	0.3478242790
15	-70	1.03133370380048	0.2518196006	-0.9398035437	0.3420605160
20	-70	1.03212551801346	0.3340118952	-0.9176901398	0.3340118952
25	-70	1.03331587320053	0.4147172396	-0.8893639903	0.3237020199
30	-70	1.03467716672158	0.4934074966	-0.8546068529	0.3110514565
35	-70	1.03587660896668	0.5693862849	-0.8131678879	0.2959689066
40	-70	1.03664177985755	0.6418586223	-0.7649373191	0.2784144152
45	-70	1.03649198939443	0.7097804676	-0.7097804676	0.2583389631

-45	-65	1.05023588541099	-0.7052784881	-0.7052784881	0.3288767601
-40	-65	1.04803777925790	-0.6344052497	-0.7560547355	0.3525541132
-35	-65	1.04534732799322	-0.5601151963	-0.7999274011	0.3730122731
-30	-65	1.04287499865878	-0.4835006585	-0.8374477060	0.3905082786
-25	-65	1.04086407851165	-0.4051892553	-0.8689311622	0.4051892553
-20	-65	1.03923008299209	-0.3255547367	-0.8944542879	0.4170908843
-15	-65	1.03776860132164	-0.2448985199	-0.9139737189	0.4261929445
-10	-65	1.03644095904153	-0.1635547440	-0.9275650459	0.4325306843
-5	-65	1.03533963750856	-0.08183693730	-0.9354004737	0.4361844043
-1.42109e-14	-65	1.03461661674098	1.148290228e-16	-0.9376810963	0.4372478761
5	-65	1.03426410088539	0.08175192305	-0.9344287563	0.4357312851
10	-65	1.03417634132054	0.1631973778	-0.9255383215	0.4315856072
15	-65	1.03429773557198	0.2440794453	-0.9109168910	0.4247675222
20	-65	1.03466002895741	0.3241230973	-0.8905208909	0.4152567112
25	-65	1.03537653208746	0.4030530544	-0.8643500644	0.4030530544
30	-65	1.03631407052041	0.4804588624	-0.8321791607	0.3880515156
35	-65	1.03717165890383	0.5557345313	-0.7936711631	0.3700949414
40	-65	1.03764062983941	0.6281115776	-0.7485542292	0.3490565696
45	-65	1.03727835519677	0.6965769503	-0.6965769503	0.3248191664

-45	-60	1.05044643943743	-0.6876786175	-0.6876786175	0.3970314349
-40	-60	1.04870554954655	-0.6164908731	-0.7347052128	0.4241822524
-35	-60	1.04665250469552	-0.5427022945	-0.7750592002	0.4474806379
-30	-60	1.04476503213081	-0.4672331265	-0.8092715140	0.4672331265
-25	-60	1.04332118648103	-0.3906753553	-0.8378060030	0.4837075214
-20	-60	1.04215747217681	-0.3133002351	-0.8607853215	0.4969746371
-15	-60	1.04109033930885	-0.2353328747	-0.8782742450	0.5070718718
-10	-60	1.04007163757177	-0.1570027517	-0.8904068511	0.5140766352
-5	-60	1.03916000876782	-0.07850943037	-0.8973668954	0.5180950186
-1.42109e-14	-60	1.03846729740267	1.101336328e-16	-0.8993390606	0.5192336487
5	-60	1.03799537394621	0.07842144121	-0.8963611746	0.5175143655
10	-60	1.03768510936359	0.1566424962	-0.8883637408	0.5128970449
15	-60	1.03751439070804	0.2345245507	-0.8752575390	0.5053301757
20	-60	1.03752462795520	0.3119074790	-0.8569587555	0.4947653682
25	-60	1.03781953837571	0.3886152434	-0.8333880789	0.4811568317
30	-60	1.03833477237237	0.4643574269	-0.8042906562	0.4643574269
35	-60	1.03880883692140	0.5386352556	-0.7692508666	0.4441271949
40	-60	1.03889709071325	0.6107248835	-0.7278335739	0.4202149098
45	-60	1.03827551052204	0.6797108742	-0.6797108742	0.3924312562

-45	-55	1.05094647863609	-0.6659714094	-0.6659714094	0.4663182011
-40	-55	1.04965729524620	-0.5945731052	-0.7085846342	0.4961563023
-35	-55	1.04819991167364	-0.5215243318	-0.7448139349	0.5215243318
-30	-55	1.04690322843124	-0.4475878311	-0.7752448642	0.5428322979
-25	-55	1.04592278552649	-0.3732176142	-0.8003677565	0.5604235364
-20	-55	1.04511236163409	-0.2986077302	-0.8204179961	0.5744628653
-15	-55	1.04430362315555	-0.2238858144	-0.8355532346	0.5850606734
-10	-55	1.04346557877872	-0.1491687293	-0.8459779023	0.5923601043
-5	-55	1.04265613698446	-0.07453237702	-0.8519089676	0.5965130810
-1.42109e-14	-55	1.04196914015376	1.045239671e-16	-0.8535311512	0.5976489462
5	-55	1.04141714762629	0.07444381012	-0.8508966433	0.5958042438
10	-55	1.04096915479580	0.1488118527	-0.8439539548	0.5909429210
15	-55	1.04060988564026	0.2230939227	-0.8325978543	0.5829912939
20	-55	1.04036784008744	0.2972521336	-0.8166935249	0.5718549625
25	-55	1.04033113160017	0.3712223390	-0.7960888751	0.5574274314
30	-55	1.04050361763744	0.4448517731	-0.7705058728	0.5395140204
35	-55	1.04061389724744	0.5177499648	-0.7394235802	0.5177499648
40	-55	1.04038260103290	0.5893195012	-0.7023236327	0.4917723019
45	-55	1.03953722121062	0.6587415082	-0.6587415082	0.4612557697

-45	-50	1.05162433671957	-0.6395142148	-0.6395142148	0.5366161418
-40	-50	1.05067880950308	-0.5681190565	-0.6770579266	0.5681190565
-35	-50	1.04970769236878	-0.4961801242	-0.7086186554	0.5946016524
-30	-50	1.04895368649927	-0.4242826193	-0.7348790533	0.6166367426
-25	-50	1.04839997174399	-0.3526759527	-0.7563160213	0.6346244945
-20	-50	1.04781710841790	-0.2814158113	-0.7731835870	0.6487780627
-15	-50	1.04710769535294	-0.2105408583	-0.7857491803	0.6593218473
-10	-50	1.04630618732623	-0.1400571787	-0.7943037311	0.6664999678
-5	-50	1.04550649805684	-0.06991322038	-0.7991117656	0.6705343878
-1.42109e-14	-50	1.04480626246830	9.801357768e-17	-0.8003680315	0.6715885200
5	-50	1.04422163625607	0.06982730142	-0.7981297074	0.6697103431
10	-50	1.04373069054912	0.1397124260	-0.7923485418	0.6648593692
15	-50	1.04329467343002	0.2097741779	-0.7828878902	0.6569209399
20	-50	1.04290024605196	0.2800952728	-0.7695554374	0.6457336837
25	-50	1.04259490398804	0.3507231600	-0.7521282439	0.6311105320
30	-50	1.04245298267423	0.4216532032	-0.7303247712	0.6128152461
35	-50	1.04228301068396	0.4926705953	-0.7036065287	0.5903959787
40	-50	1.04184804889116	0.5633441212	-0.6713673803	0.5633441212
45	-50	1.04090060873411	0.6329928971	-0.6329928971	0.5311441065

-45	-45	1.05220447586734	-0.6074905374	-0.6074905374	0.6074905374
-40	-45	1.05141640364428	-0.5365100390	-0.6393877665	0.6393877665
-35	-45	1.05071924140337	-0.4662173731	-0.6658274121	0.6658274121
-30	-45	1.05026112308350	-0.3969613919	-0.6875572994	0.6875572994
-25	-45	1.04988189337156	-0.3287659091	-0.7050407673	0.7050407673
-20	-45	1.04941211787104	-0.2615592220	-0.7186280563	0.7186280563
-15	-45	1.04881264652227	-0.1952435934	-0.7286590104	0.7286590104
-10	-45	1.04812381345721	-0.1296781024	-0.7354410643	0.7354410643
-5	-45	1.04741098790489	-0.06467321410	-0.7392182198	0.7392182198
-1.42109e-14	-45	1.04673397067481	9.063956855e-17	-0.7401526888	0.7401526888
5	-45	1.04611382083235	0.06459311950	-0.7383027343	0.7383027343
10	-45	1.04555027670860	0.1293596940	-0.7336352809	0.7336352809
15	-45	1.04502683468819	0.1945388388	-0.7260288305	0.7260288305
20	-45	1.04453226754548	0.2603429507	-0.7152863783	0.7152863783
25	-45	1.04409059791701	0.3269523903	-0.7011516637	0.7011516637
30	-45	1.04376722526971	0.3945069292	-0.6833060454	0.6833060454
35	-45	1.04347183489162	0.4630016074	-0.6612348228	0.6612348228
40	-45	1.04299788679601	0.5322142921	-0.6342682946	0.6342682946
45	-45	1.04211636519000	0.6016661640	-0.6016661640	0.6016661640