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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	1.06487376946539	-0.6148051575	-0.6148051575	0.6148051575
-40	-45	1.06429098195398	-0.5430795965	-0.6472170602	0.6472170602
-35	-45	1.06369788388817	-0.4719761604	-0.6740518126	0.6740518126
-30	-45	1.06326915133485	-0.4018779645	-0.6960730529	0.6960730529
-25	-45	1.06290443248451	-0.3328438601	-0.7137859614	0.7137859614
-20	-45	1.06246968551011	-0.2648137368	-0.7275697621	0.7275697621
-15	-45	1.06195537218847	-0.1976902010	-0.7377898742	0.7377898742
-10	-45	1.06140706528470	-0.1313215598	-0.7447615747	0.7447615747
-5	-45	1.06086230863184	-0.06550377647	-0.7487115910	0.7487115910
-2.38542e-15	-45	1.06035462944217	-3.121602764e-17	-0.7497839489	0.7497839489
5	-45	1.05989897871568	0.06544429491	-0.7480317137	0.7480317137
10	-45	1.05950336773043	0.1310860267	-0.7434257999	0.7434257999
15	-45	1.05917542142866	0.1971726943	-0.7358585129	0.7358585129
20	-45	1.05891427977489	0.2639275747	-0.7251350520	0.7251350520
25	-45	1.05872521209873	0.3315351556	-0.7109794355	0.7109794355
30	-45	1.05863766619954	0.4001274276	-0.6930410341	0.6930410341
35	-45	1.05852630204245	0.4696814643	-0.6707746470	0.6707746470
40	-45	1.05817921681910	0.5399609241	-0.6435003712	0.6435003712
45	-45	1.05737332753447	0.6104747753	-0.6104747753	0.6104747753

-45	-40	1.06593072457830	-0.6482142212	-0.5439163139	0.6482142212
-40	-40	1.06540725295529	-0.5760829645	-0.5760829645	0.6865489426
-35	-40	1.06471871367369	-0.5032755951	-0.6031045700	0.7187520380
-30	-40	1.06411220103539	-0.4304139617	-0.6255478100	0.7454988500
-25	-40	1.06364776123260	-0.3578052248	-0.6438543886	0.7673157807
-20	-40	1.06315804115287	-0.2855359779	-0.6582767248	0.7845036516
-15	-40	1.06260149262450	-0.2136561800	-0.6690776720	0.7973757193
-10	-40	1.06204950918019	-0.1421645592	-0.6765285079	0.8062552797
-5	-40	1.06150564345529	-0.07098308631	-0.6807954212	0.8113403891
-2.38542e-15	-40	1.06097445607518	-3.383766543e-17	-0.6819812346	0.8127535864
5	-40	1.06047804947512	0.07091437090	-0.6801363750	0.8105549684
10	-40	1.06004648270702	0.1418964367	-0.6752525744	0.8047346815
15	-40	1.05972045408883	0.2130768926	-0.6672635972	0.7952137892
20	-40	1.05950115776420	0.2845538362	-0.6560124883	0.7818052397
25	-40	1.05936653925135	0.3563650454	-0.6412628506	0.7642273060
30	-40	1.05930118802361	0.4284679948	-0.6227196133	0.7421283363
35	-40	1.05909594283501	0.5006178008	-0.5999195797	0.7149563144
40	-40	1.05853182546696	0.5723653095	-0.5723653095	0.6821184139
45	-40	1.05740151977676	0.6430274377	-0.5395640858	0.6430274377

-45	-35	1.06664493469697	-0.6759193212	-0.4732838039	0.6759193212
-40	-35	1.06602025891687	-0.6038418238	-0.5038908149	0.7196306629
-35	-35	1.06508833553005	-0.5299270457	-0.5299270457	0.7568142540
-30	-35	1.06416177513939	-0.4549664648	-0.5517810683	0.7880250328
-25	-35	1.06347017859695	-0.3794790670	-0.5698257334	0.8137954854
-20	-35	1.06292243844814	-0.3036963951	-0.5842524613	0.8343989880
-15	-35	1.06240329035689	-0.2277661598	-0.5952008312	0.8500348807
-10	-35	1.06187997428312	-0.1518011611	-0.6028136866	0.8609071649
-5	-35	1.06134197208290	-0.07586809994	-0.6072034176	0.8671763505
-2.38542e-15	-35	1.06079893358353	-3.617754492e-17	-0.6084492720	0.8689556150
5	-35	1.06028372375253	0.07579245299	-0.6065979840	0.8663117018
10	-35	1.05983583303227	0.1515089406	-0.6016532576	0.8592499005
15	-35	1.05949202359814	0.2271420201	-0.5935698231	0.8477055597
20	-35	1.05927378267345	0.3026539074	-0.5822469188	0.8315347765
25	-35	1.05919239273558	0.3779526206	-0.5675336217	0.8105220106
30	-35	1.05916450540114	0.4528299568	-0.5491899220	0.7843244924
35	-35	1.05893657795146	0.5268662829	-0.5268662829	0.7524430317
40	-35	1.05828027518263	0.5994575489	-0.5002322477	0.7144056875
45	-35	1.05700231296943	0.6698089146	-0.4690052511	0.6698089146

-45	-30	1.06727732440275	-0.6986970181	-0.4033929115	0.6986970181
-40	-30	1.06643185162503	-0.6269114373	-0.4313522180	0.7471239576
-35	-30	1.06517602099608	-0.5523069673	-0.4554000905	0.7887760945
-30	-30	1.06394364126408	-0.4758100612	-0.4758100612	0.8241272008
-25	-30	1.06299481424870	-0.3980422156	-0.4928286644	0.8536042861
-20	-30	1.06229325713569	-0.3193535872	-0.5065768082	0.8774167698
-15	-30	1.06170060614818	-0.2399917147	-0.5171102769	0.8956612727
-10	-30	1.06113918012646	-0.1601829770	-0.5244896981	0.9084428051
-5	-30	1.06057943698974	-0.08012768655	-0.5287741238	0.9158636482
-2.38542e-15	-30	1.06002797627605	-3.821989209e-17	-0.5300139881	0.9180111562
5	-30	1.05952138749661	0.08004775000	-0.5282466110	0.9149499692
10	-30	1.05909919137657	0.1598750329	-0.5234813920	0.9066963677
15	-30	1.05879300003687	0.2393344660	-0.5156941027	0.8932083871
20	-30	1.05862569360642	0.3182510202	-0.5048278537	0.8743874916
25	-30	1.05860760981692	0.3963994112	-0.4907946562	0.8500812807
30	-30	1.05858644108108	0.4734142485	-0.4734142485	0.8199775314
35	-30	1.05834922057753	0.5487671867	-0.4524813940	0.7837207638
40	-30	1.05770083067874	0.6217788290	-0.4278206794	0.7410071533
45	-30	1.05643344500569	0.6915980326	-0.3992943103	0.6915980326

-45	-25	1.06798143547352	-0.7171953869	-0.3344337013	0.7171953869
-40	-25	1.06685524864549	-0.6457959664	-0.3588842058	0.7696296630
-35	-25	1.06525366886898	-0.5707813584	-0.3801154715	0.8151602593
-30	-25	1.06370325254993	-0.4931571125	-0.3983074929	0.8541731750
-25	-25	1.06245277721677	-0.4135933390	-0.4135933390	0.8869537777
-20	-25	1.06154775172846	-0.3325460882	-0.4260479924	0.9136628681
-15	-25	1.06083218458075	-0.2503411951	-0.4356647443	0.9342860592
-10	-25	1.06019251434517	-0.1673028393	-0.4424427554	0.9488215510
-5	-25	1.05959022820941	-0.08375379048	-0.4464010801	0.9573102057
-2.38542e-15	-25	1.05903501417356	-3.996018850e-17	-0.4475675368	0.9598116801
5	-25	1.05856211377830	0.08367252465	-0.4459679397	0.9563813330
10	-25	1.05819848122391	0.1669881725	-0.4416105995	0.9470369868
15	-25	1.05795669794929	0.2496626214	-0.4344838336	0.9317535879
20	-25	1.05784784808419	0.3313870367	-0.4245630507	0.9104784004
25	-25	1.05787944757512	0.4118130258	-0.4118130258	0.8831358838
30	-25	1.05786712873154	0.4904513523	-0.3961221354	0.8494866608
35	-25	1.05762944401678	0.5666961667	-0.3773949122	0.8093260009
40	-25	1.05703789523417	0.6398532602	-0.3555817024	0.7625474216
45	-25	1.05588131257247	0.7090696349	-0.3306446009	0.7090696349

-45	-20	1.06863711840170	-0.7317931651	-0.2663509297	0.7317931651
-40	-20	1.06728197810461	-0.6608301473	-0.2866435577	0.7875467021
-35	-20	1.06546435311395	-0.5856496657	-0.3044226667	0.8363944027
-30	-20	1.06364839276019	-0.5072230330	-0.3197609770	0.8785360640
-25	-20	1.06210530327727	-0.4262717635	-0.3327207497	0.9141427468
-20	-20	1.06101331193654	-0.3433604353	-0.3433604353	0.9433750426
-15	-20	1.06023864643191	-0.2588772882	-0.3516473641	0.9661431925
-10	-20	1.05955670677035	-0.1731998659	-0.3575153133	0.9822652504
-5	-20	1.05892774050609	-0.08676432417	-0.3609568385	0.9917207633
-2.38542e-15	-20	1.05838072192386	-4.140656794e-17	-0.3619875262	0.9945525544
5	-20	1.05795165149627	0.08668434732	-0.3606241190	0.9908066237
10	-20	1.05764495940786	0.1728873631	-0.3568702521	0.9804929592
15	-20	1.05743485316546	0.2581926891	-0.3507174352	0.9635882339
20	-20	1.05731892545258	0.3421648743	-0.3421648743	0.9400902658
25	-20	1.05732252196090	0.4243522131	-0.3312224702	0.9100262578
30	-20	1.05725758077854	0.5041754404	-0.3178397291	0.8732574787
35	-20	1.05697088310779	0.5809810929	-0.3019959269	0.8297269898
40	-20	1.05633238477933	0.6540504756	-0.2837027881	0.7794670041
45	-20	1.05530665817870	0.7226645849	-0.2630283983	0.7226645849

-45	-15	1.06916152068186	-0.7427963213	-0.1990316744	0.7427963213
-40	-15	1.06763235292338	-0.6722454035	-0.2146677299	0.8011508748
-35	-15	1.06571306073069	-0.5970550970	-0.2284757338	0.8526830467
-30	-15	1.06370721606366	-0.5180876133	-0.2404452981	0.8973540690
-25	-15	1.06194150314191	-0.4361203216	-0.2506029784	0.9352630477
-20	-15	1.06075976891453	-0.3518202038	-0.2590045301	0.9666180657
-15	-15	1.06021943868174	-0.2656515587	-0.2656515587	0.9914251141
-10	-15	1.05965956300699	-0.1779178133	-0.2703666462	1.009022060
-5	-15	1.05908357684021	-0.08918268473	-0.2731374259	1.019362751
-2.38542e-15	-15	1.05856495616091	-4.256991551e-17	-0.2739767711	1.022495230
5	-15	1.05815154571288	0.08910420080	-0.2728970553	1.018465676
10	-15	1.05783307985599	0.1776111451	-0.2699006284	1.007282858
15	-15	1.05751209013211	0.2649731978	-0.2649731978	0.9888934369
20	-15	1.05718518634941	0.3506346287	-0.2581317283	0.9633607249
25	-15	1.05695397327396	0.4340720325	-0.2494259928	0.9308704777
30	-15	1.05668902528663	0.5146693440	-0.2388588738	0.8914334529
35	-15	1.05632744751883	0.5917969009	-0.2264635741	0.8451735645
40	-15	1.05575914365390	0.6647693184	-0.2122803960	0.7922412235
45	-15	1.05485471163720	0.7328567145	-0.1963683648	0.7328567145

-45	-10	1.06954264707265	-0.7504700996	-0.1323281268	0.7504700996
-40	-10	1.06795471197688	-0.6802901386	-0.1429550219	0.8107382166
-35	-10	1.06595362682545	-0.6051262394	-0.1523835105	0.8642098326
-30	-10	1.06381073074696	-0.5258101665	-0.1605862576	0.9107299235
-25	-10	1.06187452336320	-0.4431446965	-0.1675682674	0.9503268685
-20	-10	1.06060211789523	-0.3578680556	-0.1733707534	0.9832344019
-15	-10	1.06016121616269	-0.2704946404	-0.1780020414	1.009499741
-10	-10	1.05962518747689	-0.1812890161	-0.1812890161	1.028141101
-5	-10	1.05906585729581	-0.09091178356	-0.1832260279	1.039126441
-2.38542e-15	-10	1.05855957903779	-4.340185213e-17	-0.1838169419	1.042477680
5	-10	1.05815554068891	0.09083364063	-0.1830685366	1.038233263
10	-10	1.05783892420069	0.1809834081	-0.1809834081	1.026407912
15	-10	1.05750874336294	0.2698178757	-0.1775566887	1.006974021
20	-10	1.05706766203932	0.3566754605	-0.1727929955	0.9799577739
25	-10	1.05665942793177	0.4409683171	-0.1667453034	0.9456596078
30	-10	1.05625611131088	0.5220761416	-0.1594458592	0.9042624027
35	-10	1.05585686659476	0.5993944567	-0.1509401271	0.8560239985
40	-10	1.05532717674568	0.6722463633	-0.1412647165	0.8011520186
45	-10	1.05451047557250	0.7399224180	-0.1304682859	0.7399224180

-45	-5	1.06978233076991	-0.7550069641	-0.06605455024	0.7550069641
-40	-5	1.06818543482092	-0.6850794977	-0.07142976524	0.8164459526
-35	-5	1.06613856996820	-0.6099475949	-0.07621097602	0.8710954419
-30	-5	1.06390996011244	-0.5304346260	-0.08037931043	0.9187397223
-25	-5	1.06185988347785	-0.4473572767	-0.08393319212	0.9593607759
-20	-5	1.06050880646730	-0.3614957767	-0.08689387042	0.9932014837
-15	-5	1.06009306917404	-0.2733977738	-0.08926769146	1.020334382
-10	-5	1.05956228526788	-0.1833119135	-0.09095439767	1.039613523
-5	-5	1.05900072692229	-0.09194942602	-0.09194942602	1.050986749
-2.38542e-15	-5	1.05849223613946	-4.390089765e-17	-0.09225367703	1.054464354
5	-5	1.05808655481373	0.09187005157	-0.09187005157	1.050079494
10	-5	1.05776554918967	0.1830010652	-0.09080016318	1.037850614
15	-5	1.05742361257759	0.2727093215	-0.08904290344	1.017765043
20	-5	1.05694989912037	0.3602826515	-0.08660226772	0.9898684496
25	-5	1.05642866731639	0.4450691273	-0.08350388943	0.9544538237
30	-5	1.05593551715063	0.5264588002	-0.07977683442	0.9118533900
35	-5	1.05551203388153	0.6038680568	-0.07545135742	0.8624129616
40	-5	1.05500171173083	0.6766241321	-0.07054816714	0.8063692403
45	-5	1.05423718571830	0.7440358605	-0.06509470305	0.7440358605

-45	-2.38542e-15	1.06989448631367	-0.7565296464	-3.149687371e-17	0.7565296464
-40	-2.38542e-15	1.06829600897999	-0.6866874380	-3.407117177e-17	0.8183622213
-35	-2.38542e-15	1.06623204290167	-0.6115655755	-3.636283598e-17	0.8734061576
-30	-2.38542e-15	1.06397136921505	-0.5319856846	-3.836207329e-17	0.9214262346
-25	-2.38542e-15	1.06187870338118	-0.4487693318	-4.006748840e-17	0.9623889378
-20	-2.38542e-15	1.06049532103997	-0.3627107617	-4.148929648e-17	0.9965396276
-15	-2.38542e-15	1.06008383077156	-0.2743698848	-4.263099666e-17	1.023962350
-10	-2.38542e-15	1.05954993772983	-0.1839889158	-4.344245769e-17	1.043452993
-5	-2.38542e-15	1.05897911154743	-0.09229611102	-4.392109078e-17	1.054949376
-2.38542e-15	-2.38542e-15	1.05845705521588	-4.406712725e-17	-4.406712725e-17	1.058457055
5	-2.38542e-15	1.05803288626837	0.09221364205	-4.388184614e-17	1.054006752
10	-2.38542e-15	1.05768700111890	0.1836654203	-4.336607569e-17	1.041618359
15	-2.38542e-15	1.05731390123482	0.2736529743	-4.251960466e-17	1.021286804
20	-2.38542e-15	1.05680508270335	0.3614486259	-4.134492489e-17	0.9930719378
25	-2.38542e-15	1.05621772547291	0.4463768992	-3.985388475e-17	0.9572583494
30	-2.38542e-15	1.05567334669753	0.5278366733	-3.806288353e-17	0.9142399363
35	-2.38542e-15	1.05523306005888	0.6052568181	-3.598772606e-17	0.8643963183
40	-2.38542e-15	1.05473461122930	0.6779703396	-3.363865802e-17	0.8079735879
45	-2.38542e-15	1.05400656132007	0.7452951869	-3.102914537e-17	0.7452951869

-45	5	1.06989584493167	-0.7550870776	0.06606155926	0.7550870776
-40	5	1.06828492966646	-0.6851433086	0.07143641848	0.8165219995
-35	5	1.06622226438118	-0.6099954773	0.07621695876	0.8711638250
-30	5	1.06398013053381	-0.5304696109	0.08038461186	0.9188003179
-25	5	1.06192225273375	-0.4473835527	0.08393812201	0.9594171248
-20	5	1.06056909113703	-0.3615163260	0.08689880991	0.9932579423
-15	5	1.06015199291150	-0.2734129702	0.08927265328	1.020391096
-10	5	1.05961467502329	-0.1833209773	0.09095889489	1.039664926
-5	5	1.05903508447280	-0.09195240917	0.09195240917	1.051020846
-2.38542e-15	5	1.05849084977797	-4.390084015e-17	0.09225355620	1.054462973
5	5	1.05802775755489	0.09186494640	0.09186494640	1.050021142
10	5	1.05762775161345	0.1829772253	0.09078833443	1.037715411
15	5	1.05718959741108	0.2726489690	0.08902319763	1.017539805
20	5	1.05661141970529	0.3601672740	0.08657453407	0.9895514525
25	5	1.05599584886265	0.4448867827	0.08346967791	0.9540627843
30	5	1.05543418663186	0.5262088513	0.07973895847	0.9114204659
35	5	1.05498416770946	0.6035660597	0.07541362387	0.8619816651
40	5	1.05449887758081	0.6763016400	0.07051454253	0.8059849092
45	5	1.05380496376598	0.7437308166	0.06506801517	0.7437308166

-45	10	1.06977276916897	-0.7506315703	0.1323565984	0.7506315703
-40	10	1.06815465756285	-0.6804175045	0.1429817863	0.8108900054
-35	10	1.06611904199373	-0.6052201431	0.1524071574	0.8643439410
-30	10	1.06394619210470	-0.5258771210	0.1606067061	0.9108458922
-25	10	1.06199417740831	-0.4431946309	0.1675871493	0.9504339532
-20	10	1.06072275039884	-0.3579087594	0.1733904725	0.9833462346
-15	10	1.06028463000091	-0.2705261288	0.1780227627	1.009617257
-10	10	1.05974166742498	-0.1813089444	0.1813089444	1.028254120
-5	10	1.05915276576886	-0.09091924391	0.1832410637	1.039211713
-2.38542e-15	10	1.05857905507636	-4.340265067e-17	0.1838203238	1.042496861
5	10	1.05805998434482	0.09082543793	0.1830520046	1.038139506
10	10	1.05758083246173	0.1809392517	0.1809392517	1.026157489
15	10	1.05704975186674	0.2697007664	0.1774796236	1.006536963
20	10	1.05638842060211	0.3564462711	0.1726819637	0.9793280811
25	10	1.05577600336622	0.4405996437	0.1666058953	0.9448689851
30	10	1.05522129326527	0.5215646617	0.1592896495	0.9033764935
35	10	1.05476303905355	0.5987735068	0.1507837588	0.8551371903
40	10	1.05428863603467	0.6715848100	0.1411256988	0.8003636100
45	10	1.05362125275761	0.7392984737	0.1303582677	0.7392984737

-45	15	1.06951459921026	-0.7430416214	0.1990974024	0.7430416214
-40	15	1.06793454139690	-0.6724356795	0.2147284906	0.8013776369
-35	15	1.06595547029217	-0.5971909045	0.2285277034	0.8528769999
-30	15	1.06389527237494	-0.5181792077	0.2404878072	0.8975127152
-25	15	1.06210285085887	-0.4361865842	0.2506410541	0.9354051484
-20	15	1.06094073651937	-0.3518802250	0.2590487168	0.9667829725
-15	15	1.06041570668759	-0.2657007361	0.2657007361	0.9916086469
-10	15	1.05986033946564	-0.1779515239	0.2704178732	1.009213242
-5	15	1.05925884172880	-0.08919744333	0.2731826267	1.019531443
-2.38542e-15	15	1.05865093809419	-4.257337325e-17	0.2739990249	1.022578282
5	15	1.05806480825915	0.08909689687	0.2728746857	1.018382191
10	15	1.05749193775290	0.1775538671	0.2698135878	1.006958018
15	15	1.05684891860400	0.2648070317	0.2648070317	0.9882732965
20	15	1.05616429013606	0.3502960300	0.2578824572	0.9624304325
25	15	1.05558543879875	0.4335100000	0.2491030382	0.9296651950
30	15	1.05505149423703	0.5138717706	0.2384887187	0.8900520153
35	15	1.05458208246267	0.5908190776	0.2260893893	0.8437770880
40	15	1.05411460210066	0.6637338164	0.2119497298	0.7910071602
45	15	1.05345519726193	0.7318844067	0.1961078357	0.7318844067

-45	20	1.06912341446104	-0.7321261763	0.2664721359	0.7321261763
-40	20	1.06768932354899	-0.6610823638	0.2867529598	0.7878472821
-35	20	1.06577550286605	-0.5858206942	0.3045115679	0.8366386567
-30	20	1.06386201170048	-0.5073249017	0.3198251966	0.8787125057
-25	20	1.06226371712653	-0.4263353423	0.3327703753	0.9142790920
-20	20	1.06124040268615	-0.3434339254	0.3434339254	0.9435769550
-15	20	1.06047625907289	-0.2589353058	0.3517261726	0.9663597172
-10	20	1.05981819107400	-0.1732426092	0.3576035432	0.9825076602
-5	20	1.05918979012276	-0.08678579548	0.3610461634	0.9919661814
-2.38542e-15	20	1.05854652359129	-4.141305453e-17	0.3620442337	0.9947083570
5	20	1.05789011166159	0.08667930500	0.3606031419	0.9907489897
10	20	1.05723605549983	0.1728205218	0.3567322798	0.9801138836
15	20	1.05657883246122	0.2579836755	0.3504335205	0.9628081845
20	20	1.05594818865669	0.3417212825	0.3417212825	0.9388715074
25	20	1.05541990234705	0.4235886043	0.3306264455	0.9083886933
30	20	1.05491282501311	0.5030572944	0.3171348332	0.8713207931
35	20	1.05442981965938	0.5795843564	0.3012698985	0.8277322433
40	20	1.05396548372753	0.6525849589	0.2830671014	0.7777204693
45	20	1.05330592467323	0.7212945004	0.2625297283	0.7212945004

-45	25	1.06861712627104	-0.7176222806	0.3346327651	0.7176222806
-40	25	1.06737716154923	-0.6461118942	0.3590597744	0.7700061711
-35	25	1.06562364257107	-0.5709795967	0.3802474896	0.8154433729
-30	25	1.06389450927062	-0.4932457835	0.3983791097	0.8543267577
-25	25	1.06246810948567	-0.4135993075	0.4135993075	0.8869665773
-20	25	1.06142646279859	-0.3325080925	0.4259993136	0.9135584761
-15	25	1.06051275330431	-0.2502658139	0.4355335596	0.9340047327
-10	25	1.05972364268342	-0.1672288494	0.4422470845	0.9484019333
-5	25	1.05900164755530	-0.08370726696	0.4461531135	0.9567784395
-2.38542e-15	25	1.05830113789463	-3.993249740e-17	0.4472573873	0.9591465623
5	25	1.05762048320691	0.08359809481	0.4455712345	0.9555305961
10	25	1.05697390349204	0.1667949290	0.4410995550	0.9459410483
15	25	1.05636051638816	0.2492859454	0.4338283104	0.9303478140
20	25	1.05578981441661	0.3307423261	0.4237370670	0.9087070727
25	25	1.05529874674385	0.4108084064	0.4108084064	0.8809814705
30	25	1.05480735663124	0.4890327721	0.3949763928	0.8470296078
35	25	1.05429814006209	0.5649111964	0.3762061998	0.8067767991
40	25	1.05381355227563	0.6379014794	0.3544970513	0.7602213797
45	25	1.05314117794642	0.7072295168	0.3297865398	0.7072295168

-45	30	1.06808667694251	-0.6992268637	0.4036988180	0.6992268637
-40	30	1.06708428833914	-0.6272949780	0.4316161168	0.7475810436
-35	30	1.06560124239903	-0.5525274499	0.4555818875	0.7890909762
-30	30	1.06407007210105	-0.4758666028	0.4758666028	0.8242251337
-25	30	1.06274973159344	-0.3979504436	0.4927150385	0.8534074803
-20	30	1.06160024444461	-0.3191452492	0.5062463306	0.8768443657
-15	30	1.06055900515285	-0.2397336620	0.5165542505	0.8946982067
-10	30	1.05965936988740	-0.1599595940	0.5237582716	0.9071759374
-5	30	1.05885764783494	-0.07999760390	0.5279156897	0.9143767967
-2.38542e-15	30	1.05811368728596	-3.815087135e-17	0.5290568436	0.9163533333
5	30	1.05742399769476	0.07988929040	0.5272009134	0.9131387677
10	30	1.05679731701642	0.1595275563	0.5223436436	0.9047257297
15	30	1.05622735666878	0.2387545161	0.5144444844	0.8910439846
20	30	1.05570509524336	0.3173730107	0.5034351051	0.8719751804
25	30	1.05524420618709	0.3951399727	0.4892353055	0.8473804060
30	30	1.05477063911668	0.4717077699	0.4717077699	0.8170218239
35	30	1.05422780272935	0.5466301804	0.4507193433	0.7806688026
40	30	1.05367577818774	0.6194126662	0.4261926192	0.7381872702
45	30	1.05296507642147	0.6893274524	0.3979833902	0.6893274524

-45	35	1.06766384134401	-0.6765649894	0.4737359057	0.6765649894
-40	35	1.06683535498393	-0.6043035309	0.5042760978	0.7201809039
-35	35	1.06559112058603	-0.5301772028	0.5301772028	0.7571715153
-30	35	1.06422590096156	-0.4549938808	0.5518143183	0.7880725188
-25	35	1.06294653498028	-0.3792922148	0.5695451561	0.8133947794
-20	35	1.06165532227944	-0.3033343569	0.5835559704	0.8334042960
-15	35	1.06051703077474	-0.2273617690	0.5941440731	0.8485256737
-10	35	1.05955740159531	-0.1514691374	0.6014951961	0.8590241654
-5	35	1.05872297533079	-0.07568088573	0.6057050656	0.8650364822
-2.38542e-15	35	1.05796523574315	-3.608090433e-17	0.6068239297	0.8666343856
5	35	1.05727376236833	0.07557729137	0.6048759577	0.8638523933
10	35	1.05665289147304	0.1510539229	0.5998463483	0.8566693667
15	35	1.05610212610085	0.2264152679	0.5916706669	0.8449932835
20	35	1.05559668715911	0.3016032939	0.5802257439	0.8286482397
25	35	1.05513693861177	0.3765055091	0.5653606392	0.8074186699
30	35	1.05468105398725	0.4509131241	0.5468651968	0.7810044408
35	35	1.05413162095765	0.5244756111	0.5244756111	0.7490287986
40	35	1.05352706568272	0.5967651172	0.4979854812	0.7111969724
45	35	1.05281580225071	0.6671559760	0.4671476435	0.6671559760

-45	40	1.06721965899966	-0.6489980485	0.5445740231	0.6489980485
-40	40	1.06645257096945	-0.5766481849	0.5766481849	0.6872225460
-35	40	1.06537378868150	-0.5035852387	0.6034756340	0.7191942548
-30	40	1.06419757192464	-0.4304484927	0.6255979961	0.7455586594
-25	40	1.06294995573431	-0.3575704869	0.6434319883	0.7668123837
-20	40	1.06155337419435	-0.2851050070	0.6572831614	0.7833195689
-15	40	1.06040913782217	-0.2132153655	0.6676972338	0.7957305772
-10	40	1.05946590060226	-0.1418187207	0.6748827420	0.8042939323
-5	40	1.05864800372739	-0.07079199539	0.6789626773	0.8091562099
-2.38542e-15	40	1.05790930932625	-3.373990869e-17	0.6800109962	0.8104055477
5	40	1.05723415623375	0.07069745113	0.6780559078	0.8080755641
10	40	1.05661915689074	0.1414376593	0.6730693583	0.8021328258
15	40	1.05606035611466	0.2123409605	0.6649589799	0.7924672532
20	40	1.05552831219446	0.2834868356	0.6535526171	0.7788736794
25	40	1.05501210066200	0.3549002363	0.6386269927	0.7610860129
30	40	1.05450636381548	0.4265285759	0.6199009333	0.7387691643
35	40	1.05392071770933	0.4981715543	0.5969880994	0.7114627122
40	40	1.05327904699772	0.5695250471	0.5695250471	0.6787335209
45	40	1.05260915761365	0.6401131045	0.5371186699	0.6401131045

-45	45	1.06653710886457	-0.6157654869	0.6157654869	0.6157654869
-40	45	1.06569708749878	-0.5437970951	0.6480721417	0.6480721417
-35	45	1.06466971049202	-0.4724073721	0.6746676468	0.6746676468
-30	45	1.06357100751457	-0.4019920554	0.6962706641	0.6962706641
-25	45	1.06223185944047	-0.3326332468	0.7133342997	0.7133342997
-20	45	1.06102603160896	-0.2644539153	0.7265811608	0.7265811608
-15	45	1.06001855416851	-0.1973296492	0.7364442765	0.7364442765
-10	45	1.05916262952144	-0.1310438692	0.7431867128	0.7431867128
-5	45	1.05840600032825	-0.06535210978	0.7469780329	0.7469780329
-2.38542e-15	45	1.05771954772553	-3.113845285e-17	0.7479206648	0.7479206648
5	45	1.05708564851148	0.06527058362	0.7460461846	0.7460461846
10	45	1.05649398415345	0.1307136936	0.7413141941	0.7413141941
15	45	1.05593720233802	0.1965698778	0.7336087712	0.7336087712
20	45	1.05538782081557	0.2630486275	0.7227201643	0.7227201643
25	45	1.05483368361701	0.3303165405	0.7083661070	0.7083661070
30	45	1.05428948375724	0.3984839691	0.6901944805	0.6901944805
35	45	1.05369547102150	0.4675379637	0.6677134109	0.6677134109
40	45	1.05301678497437	0.5373266714	0.6403609910	0.6403609910
45	45	1.05234193649332	0.6075699003	0.6075699003	0.6075699003


### +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	1.05737381870507	0.6104750589	-0.6104750589	0.6104750589
45	-40	1.05740224720843	0.6430278801	-0.5395644570	0.6430278801
45	-35	1.05700333707745	0.6698095635	-0.4690057055	0.6698095635
45	-30	1.05643457463721	0.6915987721	-0.3992947373	0.6915987721
45	-25	1.05587781410742	0.7090672855	-0.3306435054	0.7090672855
45	-20	1.05530678383264	0.7226646709	-0.2630284296	0.7226646709
45	-15	1.05485476526103	0.7328567518	-0.1963683748	0.7328567518
45	-10	1.05451056543904	0.7399224811	-0.1304682971	0.7399224811
45	-5	1.05423725037373	0.7440359061	-0.06509470704	0.7440359061
45	-2.38542e-15	1.05400659978094	0.7452952141	-3.102914651e-17	0.7452952141
45	5	1.05380501159659	0.7437308503	0.06506801812	0.7437308503
45	10	1.05362128568141	0.7392984968	0.1303582718	0.7392984968
45	15	1.05345507952188	0.7318843249	0.1961078138	0.7318843249
45	20	1.05330571510661	0.7212943569	0.2625296761	0.7212943569
45	25	1.05314042010191	0.7072290079	0.3297863024	0.7072290079
45	30	1.05296458115964	0.6893271282	0.3979832030	0.6893271282
45	35	1.05281581220130	0.6671559823	0.4671476480	0.6671559823
45	40	1.05261125365068	0.6401143792	0.5371197395	0.6401143792
45	45	1.05234449498126	0.6075713775	0.6075713775	0.6075713775

50	-45	1.05574738337551	0.6420215236	-0.6420215236	0.5387200237
50	-40	1.05591596624944	0.6804327529	-0.5709508720	0.5709508720
50	-35	1.05558954287591	0.7125892741	-0.4989603814	0.5979333971
50	-30	1.05505035946048	0.7391502784	-0.4267486122	0.6202207260
50	-25	1.05454942956169	0.7607522418	-0.3547445963	0.6383469255
50	-20	1.05411644625485	0.7778318644	-0.2831076459	0.6526784306
50	-15	1.05374386289925	0.7907289576	-0.2118751856	0.6635003767
50	-10	1.05344680827655	0.7997245362	-0.1410130129	0.6710485633
50	-5	1.05320455057585	0.8049956165	-0.07042799063	0.6754715249
50	-2.38542e-15	1.05299449151771	0.8066405789	-3.358316037e-17	0.6768518122
50	5	1.05281134610908	0.8046950786	0.07040169697	0.6752193437
50	10	1.05263736884862	0.7991100499	0.1409046624	0.6705329482
50	15	1.05247011861021	0.7897731404	0.2116190752	0.6626983509
50	20	1.05230332316206	0.7764939621	0.2826206893	0.6515557972
50	25	1.05210955902081	0.7589921186	0.3539238374	0.6368700067
50	30	1.05194149676787	0.7369722622	0.4254911340	0.6183931534
50	35	1.05181787667496	0.7100431624	0.4971775748	0.5957969557
50	40	1.05166497825814	0.6776934142	0.5686522939	0.5686522939
50	45	1.05151558824668	0.6394480827	0.6394480827	0.5365606503

55	-45	1.05396035821905	0.6678812665	-0.6678812665	0.4676554975
55	-40	1.05414139774924	0.7116116851	-0.5971131025	0.4982758662
55	-35	1.05381862521582	0.7488063948	-0.5243198823	0.5243198823
55	-30	1.05332886310659	0.7800031267	-0.4503350151	0.5461640691
55	-25	1.05290210952724	0.8057085196	-0.3757080529	0.5641631790
55	-20	1.05262338042679	0.8263141803	-0.3007537658	0.5785914179
55	-15	1.05235170550367	0.8419925508	-0.2256112240	0.5895695312
55	-10	1.05212172978674	0.8529957787	-0.1504061702	0.5972740743
55	-5	1.05193182615284	0.8594877296	-0.07519543278	0.6018197873
55	-2.38542e-15	1.05176569384759	0.8615560182	-3.586947482e-17	0.6032680186
55	5	1.05163057116654	0.8592415873	0.07517389812	0.6016474366
55	10	1.05150285686741	0.8524940345	0.1503176992	0.5969227492
55	15	1.05137933115299	0.8412145486	0.2254027590	0.5890247682
55	20	1.05123855153692	0.8252270832	0.3003580948	0.5778302244
55	25	1.05106186599299	0.8043003166	0.3750513971	0.5631771447
55	30	1.05093615309745	0.7782312951	0.4493120477	0.5449234193
55	35	1.05085033585164	0.7466972329	0.5228430313	0.5228430313
55	40	1.05076703247550	0.7093337765	0.5952017103	0.4966808574
55	45	1.05075011490761	0.6658469762	0.6658469762	0.4662310720

60	-45	1.05227648805185	0.6888766655	-0.6888766655	0.3977231283
60	-40	1.05236439269227	0.7372685359	-0.6186417566	0.4256621877
60	-35	1.05201178925644	0.7790278171	-0.5454811500	0.4497719199
60	-30	1.05149776655196	0.8144866677	-0.4702440968	0.4702440968
60	-25	1.05107340806937	0.8440311788	-0.3935782024	0.4873016283
60	-20	1.05092299680771	0.8680253357	-0.3159353848	0.5011546612
60	-15	1.05087221951977	0.8865263372	-0.2375440161	0.5118362194
60	-10	1.05078014952626	0.8995744238	-0.1586192421	0.5193695358
60	-5	1.05068216755688	0.9073168586	-0.07937993935	0.5238396325
60	-2.38542e-15	1.05058357659962	0.9098320661	-3.787936906e-17	0.5252917883
60	5	1.05051764601431	0.9071747859	0.07936750961	0.5237576069
60	10	1.05044795973185	0.8992900357	0.1585690968	0.5192053442
60	15	1.05036820903915	0.8861011489	0.2374300873	0.5115907369
60	20	1.05024201269996	0.8674628668	0.3157306629	0.5008299197
60	25	1.05006774255187	0.8432236110	0.3932016273	0.4868353788
60	30	1.04997641512371	0.8133082339	0.4695637278	0.4695637278
60	35	1.04993316361833	0.7774885689	0.5444033568	0.4488832346
60	40	1.04994672914849	0.7355747621	0.6172205116	0.4246842869
60	45	1.05007040918657	0.6874324479	0.6874324479	0.3968893088

65	-45	1.05088656679787	0.7057154486	-0.7057154486	0.3290805182
65	-40	1.05084508871603	0.7580799293	-0.6361045891	0.3534984765
65	-35	1.05040613414771	0.8037985333	-0.5628257922	0.3748174117
65	-30	1.04979162921687	0.8430018869	-0.4867073664	0.3930982357
65	-25	1.04929523049938	0.8759696323	-0.4084713479	0.4084713479
65	-20	1.04919624268470	0.9030320556	-0.3286767888	0.4210907631
65	-15	1.04936515354748	0.9241869244	-0.2476351401	0.4309554404
65	-10	1.04941877172709	0.9391795670	-0.1656026974	0.4379466245
65	-5	1.04942225829116	0.9481237286	-0.08295007787	0.4421173555
65	-2.38542e-15	1.04940039809290	0.9510797525	-3.959664898e-17	0.4434957721
65	5	1.04941953983306	0.9481212725	0.08294986300	0.4421162102
65	10	1.04942549206917	0.9391855814	0.1656037579	0.4379494291
65	15	1.04940956610251	0.9242260390	0.2476456208	0.4309736799
65	20	1.04931102949421	0.9031308514	0.3287127475	0.4211368323
65	25	1.04915588439850	0.8758533038	0.4084171030	0.4084171030
65	30	1.04911063846673	0.8424550389	0.4863916435	0.3928432363
65	35	1.04914105879125	0.8028304642	0.5621479429	0.3743659937
65	40	1.04928130319282	0.7569518140	0.6351579880	0.3529724277
65	45	1.04953735844267	0.7048093973	0.7048093973	0.3286580195

70	-45	1.04976200310504	0.7188676546	-0.7188676546	0.2616464286
70	-40	1.04966503008990	0.7745471673	-0.6499222424	0.2819121139
70	-35	1.04914603105851	0.8235844451	-0.5766800368	0.2997602234
70	-30	1.04842332570263	0.8659606955	-0.4999626407	0.3151839172
70	-25	1.04781373558476	0.9018421464	-0.4205358993	0.3282436973
70	-20	1.04767109666318	0.9315121256	-0.3390426866	0.3390426866
70	-15	1.04797355427290	0.9549666188	-0.2558825343	0.3475794240
70	-10	1.04806991377945	0.9716163842	-0.1713221834	0.3536394430
70	-5	1.04809515721741	0.9815756917	-0.08587674542	0.3572643345
70	-2.38542e-15	1.04812350291279	0.9849139214	-4.100527923e-17	0.3584793507
70	5	1.04825582727373	0.9817261645	0.08588991008	0.3573191021
70	10	1.04841582342382	0.9719370608	0.1713787274	0.3537561597
70	15	1.04855630459392	0.9554976505	0.2560248238	0.3477727037
70	20	1.04853987993225	0.9322845838	0.3393238384	0.3393238384
70	25	1.04843226272351	0.9023745061	0.4207841427	0.3284374604
70	30	1.04843277067901	0.8659684967	0.4999671447	0.3151867566
70	35	1.04852788252191	0.8230991956	0.5763402615	0.2995836071
70	40	1.04877602081937	0.7738911679	0.6493717935	0.2816733497
70	45	1.04911983401047	0.7184279029	0.7184279029	0.2614863721

75	-45	1.04887420393406	0.7287017772	-0.7287017772	0.1952550527
75	-40	1.04876109413405	0.7869898900	-0.6603629264	0.2108733055
75	-35	1.04818114314232	0.8386556603	-0.5872330153	0.2247171069
75	-30	1.04735330336883	0.8835577443	-0.5101223015	0.2367485841
75	-25	1.04661967710781	0.9217689544	-0.4298279225	0.2469872470
75	-20	1.04638633109192	0.9535202606	-0.3470529926	0.2554949838
75	-15	1.04671921693227	0.9788008795	-0.2622689052	0.2622689052
75	-10	1.04682913589070	0.9968047552	-0.1757635728	0.2670930292
75	-5	1.04687200362731	1.007609172	-0.08815437978	0.2699880638
75	-2.38542e-15	1.04694440463817	1.011270639	-4.210259804e-17	0.2709691511
75	5	1.04717786655309	1.007903563	0.08818013570	0.2700669458
75	10	1.04747361623631	0.9974184380	0.1758717817	0.2672574650
75	15	1.04776799412746	0.9797816049	0.2625316898	0.2625316898
75	20	1.04789369293572	0.9548938451	0.3475529365	0.2558630347
75	25	1.04785745254245	0.9228590763	0.4303362547	0.2472793442
75	30	1.04790235745235	0.8840209318	0.5103897230	0.2368726948
75	35	1.04805470597417	0.8385544972	0.5871621801	0.2246900003
75	40	1.04839216675321	0.7867130471	0.6601306276	0.2107991256
75	45	1.04880301491049	0.7286523188	0.7286523188	0.1952418004

80	-45	1.04822823605224	0.7355143349	-0.7355143349	0.1296910219
80	-40	1.04811333281545	0.7956756263	-0.6676511245	0.1402990808
80	-35	1.04748905327578	0.8492398887	-0.5946441718	0.1497439055
80	-30	1.04657057447508	0.8959706005	-0.5172888674	0.1579837908
80	-25	1.04572141672495	0.9358706113	-0.4364036331	0.1650192392
80	-20	1.04539068126819	0.9691325936	-0.3527354171	0.1708842241
80	-15	1.04572225257370	0.9957507660	-0.2668106136	0.1755777261
80	-10	1.04583001746148	1.014755819	-0.1789288298	0.1789288298
80	-5	1.04588424185855	1.026193001	-0.08978025414	0.1809455134
80	-2.38542e-15	1.04599060893272	1.030099661	-4.288651356e-17	0.1816343631
80	5	1.04630279262690	1.026603671	0.08981618316	0.1810179257
80	10	1.04670392941975	1.015603765	0.1790783455	0.1790783455
80	15	1.04712164866629	0.9970832898	0.2671676623	0.1758126860
80	20	1.04736097093965	0.9709591566	0.3534002317	0.1712062965
80	25	1.04743107539023	0.9374006740	0.4371171130	0.1652890306
80	30	1.04752505463611	0.8967877323	0.5177606387	0.1581278732
80	35	1.04772723628518	0.8494329928	0.5947793848	0.1497779549
80	40	1.04813542398227	0.7956923968	0.6676651967	0.1403020379
80	45	1.04859505613994	0.7357717230	0.7357717230	0.1297364064

85	-45	1.04783695891369	0.7395188521	-0.7395188521	0.06469951602
85	-40	1.04772251487690	0.8008055333	-0.6719556276	0.07006140585
85	-35	1.04706991931150	0.8555152771	-0.5990382461	0.07484788822
85	-30	1.04608907929476	0.9033504960	-0.5215496520	0.07903292759
85	-25	1.04515799179424	0.9442710828	-0.4403208373	0.08261301504
85	-20	1.04475867017178	0.9784509615	-0.3561270257	0.08560336695
85	-15	1.04509934952952	1.005903001	-0.2695308967	0.08800510917
85	-10	1.04520849546717	1.025529977	-0.1808286044	0.08972224707
85	-5	1.04527145627922	1.037361374	-0.09075736021	0.09075736021
85	-2.38542e-15	1.04539940420891	1.041421344	-4.335787329e-17	0.09111256154
85	5	1.04576153759820	1.037847747	0.09079991230	0.09079991230
85	10	1.04622801417790	1.026530301	0.1810049885	0.08980976407
85	15	1.04672293544155	1.007465694	0.2699496192	0.08814182713
85	20	1.04703517829887	0.9805829865	0.3569030193	0.08578989496
85	25	1.04718331350820	0.9461009045	0.4411740971	0.08277310369
85	30	1.04730821912646	0.9044032845	0.5221574798	0.07912503465
85	35	1.04754070338443	0.8558999343	0.5993075859	0.07488154136
85	40	1.04799124768255	0.8010109338	0.6721279791	0.07007937606
85	45	1.04847868331866	0.7399717539	0.7399717539	0.06473913980

90	-45	1.04770675182714	0.7408405489	-0.7408405489	0.000000000
90	-40	1.04759195430449	0.8025019953	-0.6733791282	0.000000000
90	-35	1.04692928474897	0.8575942638	-0.6004939683	0.000000000
90	-30	1.04592594489153	0.9057984388	-0.5229629724	0.000000000
90	-25	1.04496503446350	0.9470599479	-0.4416213064	0.000000000
90	-20	1.04454114772065	0.9815476086	-0.3572541131	0.000000000
90	-15	1.04488778566126	1.009284098	-0.2704368589	0.000000000
90	-10	1.04499856967226	1.029122693	-0.1814620973	0.000000000
90	-5	1.04506498649699	1.041088199	-0.09108341512	0.000000000
90	-2.38542e-15	1.04520020016598	1.045200200	-4.351519978e-17	0.000000000
90	5	1.04557964015571	1.041600894	0.09112827014	0.000000000
90	10	1.04606828079612	1.030176153	0.1816478507	0.000000000
90	15	1.04658948321519	1.010927811	0.2708772907	0.000000000
90	20	1.04692664262499	0.9837892406	0.3580700004	0.000000000
90	25	1.04710246813938	0.9489971207	0.4425246249	0.000000000
90	30	1.04723756124797	0.9069343318	0.5236187806	0.000000000
90	35	1.04748091513741	0.8580461330	0.6008103705	0.000000000
90	40	1.04794497949195	0.8027724282	0.6736060485	0.000000000
90	45	1.04844143625183	0.7413600493	0.7413600493	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	1.05234358403149	0.6075708515	0.6075708515	0.6075708515
40	45	1.05301705773431	0.5373268106	0.6403611569	0.6403611569
35	45	1.05369532254419	0.4675378978	0.6677133168	0.6677133168
30	45	1.05428924151714	0.3984838776	0.6901943219	0.6901943219
25	45	1.05483323296710	0.3303163994	0.7083658044	0.7083658044
20	45	1.05538759406108	0.2630485710	0.7227200091	0.7227200091
15	45	1.05593718243812	0.1965698741	0.7336087574	0.7336087574
10	45	1.05649393276454	0.1307136873	0.7413141581	0.7413141581
5	45	1.05708564186471	0.06527058321	0.7460461799	0.7460461799
0	45	1.05771953736021	0.000000000	0.7479206575	0.7479206575
-5	45	1.05840597337294	-0.06535210812	0.7469780139	0.7469780139
-10	45	1.05916259498011	-0.1310438649	0.7431866886	0.7431866886
-15	45	1.06001838722596	-0.1973296181	0.7364441605	0.7364441605
-20	45	1.06102605932378	-0.2644539222	0.7265811798	0.7265811798
-25	45	1.06223291189013	-0.3326335764	0.7133350065	0.7133350065
-30	45	1.06356980511664	-0.4019916009	0.6962698770	0.6962698770
-35	45	1.06466908712625	-0.4724070955	0.6746672518	0.6746672518
-40	45	1.06569715147669	-0.5437971277	0.6480721806	0.6480721806
-45	45	1.06653748576657	-0.6157657045	0.6157657045	0.6157657045

45	50	1.05151293179036	0.6394464672	0.6394464672	0.5365592948
40	50	1.05215573420988	0.5689176536	0.6780096576	0.5689176536
35	50	1.05281744419789	0.4976500544	0.7107179333	0.5963631557
30	50	1.05345045217422	0.4261014789	0.7380294106	0.6192802063
25	50	1.05403385537623	0.3545711600	0.7603803065	0.6380348347
20	50	1.05464799538206	0.2832504059	0.7782240942	0.6530075504
15	50	1.05526063023540	0.2121801605	0.7918671392	0.6644554244
10	50	1.05586650799535	0.1413369107	0.8015614521	0.6725899188
5	50	1.05650565690920	0.07064873624	0.8075187504	0.6775886856
0	50	1.05718068044953	0.000000000	0.8098473856	0.6795426426
-5	50	1.05790842971241	-0.07074253993	0.8085909314	0.6784883524
-10	50	1.05871486825259	-0.1417181885	0.8037237858	0.6744043323
-15	50	1.05963344727033	-0.2130593982	0.7951484993	0.6672088125
-20	50	1.06073028016739	-0.2848839458	0.7827122083	0.6567735253
-25	50	1.06204411878293	-0.3572657683	0.7661589126	0.6428836610
-30	50	1.06320092602589	-0.4300453676	0.7448604262	0.6250121089
-35	50	1.06430383648944	-0.5030794893	0.7184719699	0.6028695649
-40	50	1.06535231831523	-0.5760532605	0.6865135427	0.5760532605
-45	50	1.06613185360430	-0.6483365318	0.6483365318	0.5440189447

45	55	1.05074969045837	0.6658467072	0.6658467072	0.4662308837
40	55	1.05137789433072	0.5955477299	0.7097461467	0.4969696021
35	55	1.05198086207582	0.5234055165	0.7475005451	0.5234055165
30	55	1.05259329622456	0.4500205345	0.7794584302	0.5457826686
25	55	1.05317202604366	0.3758043675	0.8059150669	0.5643078050
20	55	1.05379697320362	0.3010890827	0.8272354560	0.5792365021
15	55	1.05444418700644	0.2260598262	0.8436667571	0.5907418230
10	55	1.05507378582184	0.1508281817	0.8553891247	0.5989499132
5	55	1.05573507510869	0.07546730111	0.8625951989	0.6039956607
0	55	1.05642269724794	0.000000000	0.8653708121	0.6059391660
-5	55	1.05716019690980	-0.07556917335	0.8637596039	0.6048109859
-10	55	1.05797837978530	-0.1512434082	0.8577439913	0.6005988086
-15	55	1.05889919894582	-0.2270149258	0.8472312373	0.5932376990
-20	55	1.05995884709141	-0.3028496428	0.8320725552	0.5826234755
-25	55	1.06110254360871	-0.3786342216	0.8119837085	0.5685571136
-30	55	1.06222388061202	-0.4541379470	0.7865899978	0.5507762459
-35	55	1.06348156560677	-0.5291276088	0.7556725399	0.5291276088
-40	55	1.06469658841375	-0.6030920373	0.7187371021	0.5032651369
-45	55	1.06556867081695	-0.6752373065	0.6752373065	0.4728062521

45	60	1.05007052068488	0.6874325209	0.6874325209	0.3968893510
40	60	1.05065216824749	0.6176352102	0.7360689807	0.4249696241
35	60	1.05116537654275	0.5450422745	0.7784010379	0.4494100488
30	60	1.05175094055261	0.4703573197	0.8146827754	0.4703573197
25	60	1.05234932880242	0.3940559755	0.8450557665	0.4878931743
20	60	1.05300640410909	0.3165617124	0.8697461567	0.5021481777
15	60	1.05370848218644	0.2381851381	0.8889190369	0.5132176452
10	60	1.05437488414254	0.1591618809	0.9026518814	0.5211463067
5	60	1.05504635159284	0.07970965720	0.9110855508	0.5260154880
0	60	1.05572386673640	0.000000000	0.9142836880	0.5278619334
-5	60	1.05644171016786	-0.07981507774	0.9122905131	0.5267111733
-10	60	1.05723151819753	-0.1595931006	0.9050974500	0.5225582564
-15	60	1.05809027579151	-0.2391756190	0.8926155619	0.5153518349
-20	60	1.05904430688680	-0.3183768664	0.8747332514	0.5050274782
-25	60	1.06001553634450	-0.3969266144	0.8512118714	0.4914474031
-30	60	1.06114070332879	-0.4745565493	0.8219560544	0.4745565493
-35	60	1.06255784055954	-0.5509494083	0.7868372993	0.4542807265
-40	60	1.06402333871232	-0.6254955715	0.7454365945	0.4303780185
-45	60	1.06509519842222	-0.6972684813	0.6972684813	0.4025681454

45	65	1.04953774006548	0.7048096536	0.7048096536	0.3286581390
40	65	1.05005498942550	0.6356263209	0.7575099515	0.3532326915
35	65	1.05047174600642	0.5628609482	0.8038487412	0.3748408240
30	65	1.05099227833749	0.4872640147	0.8439660302	0.3935478231
25	65	1.05158923954593	0.4093643634	0.8778847103	0.4093643634
20	65	1.05228050027620	0.3296429797	0.9056866433	0.4223286177
15	65	1.05305225742600	0.2485052437	0.9274341956	0.4324696678
10	65	1.05377083563818	0.1662894714	0.9430744559	0.4397628410
5	65	1.05445938632967	0.08334823044	0.9526746332	0.4442394772
0	65	1.05511806153836	0.000000000	0.9562617154	0.4459121611
-5	65	1.05579020205873	-0.08345342286	0.9538769881	0.4448001445
-10	65	1.05651207722518	-0.1667220509	0.9455277359	0.4409068243
-15	65	1.05727017775115	-0.2495006125	0.9311489624	0.4342018920
-20	65	1.05810541126911	-0.3314677223	0.9107000823	0.4246664227
-25	65	1.05894985204303	-0.4122297146	0.8840294757	0.4122297146
-30	65	1.06015912952887	-0.4915139762	0.8513271794	0.3969803833
-35	65	1.06177291212024	-0.5689163087	0.8124966922	0.3788734298
-40	65	1.06352498805697	-0.6437800707	0.7672272121	0.3577639246
-45	65	1.06483982087902	-0.7150856578	0.7150856578	0.3334499185

45	70	1.04911996874926	0.7184279952	0.7184279952	0.2614864057
40	70	1.04959493391927	0.6498788408	0.7744954433	0.2818932879
35	70	1.04996044645392	0.5771276933	0.8242237649	0.2999929168
30	70	1.05042460708197	0.5009169936	0.8676136834	0.3157855556
25	70	1.05101497821292	0.4218207054	0.9045974219	0.3292465356
20	70	1.05173814079058	0.3403588454	0.9351282423	0.3403588454
15	70	1.05258933131163	0.2570095635	0.9591727488	0.3491103301
10	70	1.05336724129771	0.1721881082	0.9765272877	0.3554268657
5	70	1.05406640569211	0.08636600575	0.9871679629	0.3592997547
0	70	1.05469447868832	0.000000000	0.9910886188	0.3607267568
-5	70	1.05530739626083	-0.08646768758	0.9883301915	0.3597227713
-10	70	1.05594548461545	-0.1726095594	0.9789174560	0.3562968158
-15	70	1.05658475836813	-0.2579851224	0.9628135845	0.3504354859
-20	70	1.05728165850842	-0.3421528141	0.9400571307	0.3421528141
-25	70	1.05808104599272	-0.4246566438	0.9106791114	0.3314600895
-30	70	1.05943580451525	-0.5052141720	0.8750566147	0.3184945610
-35	70	1.06123497375565	-0.5833249191	0.8330743205	0.3032142556
-40	70	1.06317119224914	-0.6582848675	0.7845133558	0.2855395099
-45	70	1.06468389728515	-0.7290860346	0.7290860346	0.2653656148

45	75	1.04880306841025	0.7286523560	0.7286523560	0.1952418104
40	75	1.04924372387717	0.6606668191	0.7873520552	0.2109703473
35	75	1.04957813868350	0.5880156681	0.8397734043	0.2250166055
30	75	1.05000229151504	0.5114125136	0.8857924573	0.2373473736
25	75	1.05059875591060	0.4314620588	0.9252733710	0.2479262525
20	75	1.05136839295703	0.3487053838	0.9580601679	0.2567114483
15	75	1.05230538496710	0.2636685912	0.9840245786	0.2636685912
10	75	1.05311496294818	0.1768189690	1.002790204	0.2686968254
5	75	1.05375541602193	0.08873401411	1.014234422	0.2717632944
0	75	1.05431468167101	0.000000000	1.018389780	0.2728767191
-5	75	1.05488654772705	-0.08882926378	1.015323131	0.2720550130
-10	75	1.05549017230542	-0.1772177688	1.005051910	0.2693028477
-15	75	1.05600999236302	-0.2645968280	0.9874888056	0.2645968280
-20	75	1.05647276737222	-0.3503983421	0.9627115326	0.2579577777
-25	75	1.05736666698906	-0.4342415184	0.9312339414	0.2495233826
-30	75	1.05888916236791	-0.5157409394	0.8932895106	0.2393562030
-35	75	1.06083650227703	-0.5943230538	0.8487812847	0.2274302598
-40	75	1.06286716436898	-0.6692449548	0.7975750793	0.2137095984
-45	75	1.06455452136024	-0.7395956242	0.7395956242	0.1981740502

45	80	1.04859505920288	0.7357717251	0.7357717251	0.1297364068
40	80	1.04901040441602	0.6682225617	0.7963566385	0.1404191616
35	80	1.04932230569160	0.5956848823	0.8507261773	0.1500059783
30	80	1.04971674973898	0.5188439287	0.8986640457	0.1584587179
25	80	1.05032207244284	0.4383235927	0.9399879779	0.1657452421
20	80	1.05113198075990	0.3546726447	0.9744550826	0.1718227226
15	80	1.05210193416130	0.2684383563	1.001825584	0.1766488805
10	80	1.05283860277814	0.1801279137	1.021556162	0.1801279137
5	80	1.05340834201382	0.09042613406	1.033575442	0.1822472370
0	80	1.05390742111532	0.000000000	1.037896199	0.1830091031
-5	80	1.05444408454314	-0.09051504373	1.034591684	0.1824264279
-10	80	1.05503375263113	-0.1805034772	1.023686089	0.1805034772
-15	80	1.05553967723776	-0.2693154787	1.005099050	0.1772260807
-20	80	1.05589473930801	-0.3562796933	0.9788704124	0.1726012643
-25	80	1.05684273325934	-0.4410448146	0.9458236572	0.1667742298
-30	80	1.05849683941329	-0.5231836672	0.9061806933	0.1597841056
-35	80	1.06055944742363	-0.6020640428	0.8598365627	0.1516123850
-40	80	1.06266890697809	-0.6769230660	0.8067254958	0.1422474709
-45	80	1.06445509690678	-0.7469002987	0.7469002987	0.1316986746

45	85	1.04847867711224	0.7399717495	0.7399717495	0.06473913941
40	85	1.04888186326578	0.6726991744	0.8016916578	0.07013893170
35	85	1.04918224693240	0.6002467280	0.8572411681	0.07499888411
30	85	1.04956062241708	0.5232804627	0.9063483480	0.07929520565
25	85	1.05017437133864	0.4424342177	0.9488032417	0.08300952757
20	85	1.05100510029636	0.3582562471	0.9843009494	0.08611517457
15	85	1.05195050383535	0.2712978079	1.012497203	0.08858202713
10	85	1.05264413262190	0.1821150233	1.032825620	0.09036053319
5	85	1.05316660220788	0.09144286884	1.045196774	0.09144286884
0	85	1.05362512148109	0.000000000	1.049615760	0.09182948004
-5	85	1.05413740568777	-0.09152716040	1.046160231	0.09152716040
-10	85	1.05471764074232	-0.1824737551	1.034860090	0.09053852620
-15	85	1.05521030767636	-0.2721385106	1.015634748	0.08885652677
-20	85	1.05552645930462	-0.3597974434	0.9885353513	0.08648563673
-25	85	1.05651572219923	-0.4451058032	0.9545324753	0.08351077056
-30	85	1.05825844754148	-0.5276169458	0.9138593571	0.07995233380
-35	85	1.06039944748466	-0.6066641906	0.8664062546	0.07580072529
-40	85	1.06256643619654	-0.6814757594	0.8121511846	0.07105402172
-45	85	1.06439301762145	-0.7512034156	0.7512034156	0.06572178287

45	90	1.04844143234008	0.7413600465	0.7413600465	0.000000000
40	90	1.04884145310182	0.6741822906	0.8034591669	0.000000000
35	90	1.04913792909494	0.6017607946	0.8594034794	0.000000000
30	90	1.04951090149841	0.5247554507	0.9089031022	0.000000000
25	90	1.05012765883587	0.4438031258	0.9517388746	0.000000000
20	90	1.05096483528229	0.3594511436	0.9875839004	0.000000000
15	90	1.05189644208440	0.2722508327	1.016053940	0.000000000
10	90	1.05257473248252	0.1827776842	1.036583757	0.000000000
5	90	1.05308081479731	0.09178204059	1.049073524	0.000000000
0	90	1.05352490161215	0.000000000	1.053524902	0.000000000
-5	90	1.05402831248828	-0.09186462045	1.050017417	0.000000000
-10	90	1.05460504213543	-0.1831302437	1.038583222	0.000000000
-15	90	1.05509282350795	-0.2730781171	1.019141407	0.000000000
-20	90	1.05539788847689	-0.3609673371	0.9917496078	0.000000000
-25	90	1.05640351103472	-0.4464554155	0.9574267283	0.000000000
-30	90	1.05817816306619	-0.5290890815	0.9164091709	0.000000000
-35	90	1.06034729093732	-0.6081902204	0.8685856510	0.000000000
-40	90	1.06253450400485	-0.6829840140	0.8139486524	0.000000000
-45	90	1.06437222973057	-0.7526248213	0.7526248213	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	1.06437226013582	-0.7526248428	0.7526248428	9.216691646e-17
-90	40	1.06444830883461	-0.8154147120	0.6842141841	9.985620373e-17
-90	35	1.06276246452263	-0.8705640454	0.6095755071	1.066098261e-16
-90	30	1.06050522537779	-0.9184244660	0.5302526127	1.124708437e-16
-90	25	1.05805775709264	-0.9589259844	0.4471545301	1.174306853e-16
-90	20	1.05578384383511	-0.9921122872	0.3610993416	1.214947011e-16
-90	15	1.05376235991132	-1.017856278	0.2727337678	1.246473266e-16
-90	10	1.05192495659241	-1.035943853	0.1826648518	1.268623424e-16
-90	5	1.05046528302304	-1.046467945	0.09155408197	1.281511295e-16
-90	0	1.04974912808602	-1.049749128	1.285529452e-16	1.285529452e-16
-90	-5	1.05011095771687	-1.046114968	-0.09152320049	1.281079037e-16
-90	-10	1.05120319309904	-1.035233055	-0.1825395188	1.267752976e-16
-90	-15	1.05264985753509	-1.016781683	-0.2724458310	1.245157310e-16
-90	-20	1.05424905055564	-0.9906700533	-0.3605744114	1.213180842e-16
-90	-25	1.05606012276288	-0.9571155128	-0.4463102934	1.172089738e-16
-90	-30	1.05799442873319	-0.9162500523	-0.5289972144	1.122045636e-16
-90	-35	1.05966882339941	-0.8680298830	-0.6078010674	1.062994910e-16
-90	-40	1.06067064008649	-0.8125208498	-0.6817859454	9.950181953e-17
-90	-45	1.05968533305291	-0.7493106849	-0.7493106849	9.176106257e-17

-85	45	1.06439308248354	-0.7512034614	0.7512034614	0.06572178687
-85	40	1.06448268290309	-0.8136158290	0.6827047421	0.07118216151
-85	35	1.06282906606051	-0.8683913903	0.6080541976	0.07597440215
-85	30	1.06062504315617	-0.9159030314	0.5287968617	0.08013113213
-85	25	1.05824844568091	-0.9560979426	0.4458357926	0.08364773120
-85	20	1.05605860494374	-0.9890337232	0.3599788359	0.08652923862
-85	15	1.05412491687002	-1.014590065	0.2718585886	0.08876512882
-85	10	1.05237379163263	-1.032560369	0.1820682523	0.09033732672
-85	5	1.05098238868997	-1.043029089	0.09125322102	0.09125322102
-85	0	1.05029507339888	-1.046298384	1.281303648e-16	0.09153924723
-85	-5	1.05063159221173	-1.042680947	-0.09122276256	0.09122276256
-85	-10	1.05165932787167	-1.031859357	-0.1819446449	0.09027599609
-85	-15	1.05302379453808	-1.013530240	-0.2715746094	0.08867240616
-85	-20	1.05453949624994	-0.9876110278	-0.3594610171	0.08640476890
-85	-25	1.05627094369947	-0.9543113248	-0.4450026790	0.08349142239
-85	-30	1.05813883050275	-0.9137560618	-0.5275573082	0.07994329663
-85	-35	1.05976383588894	-0.8658869240	-0.6063005515	0.07575528975
-85	-40	1.06073600298537	-0.8107521299	-0.6803018132	0.07093162030
-85	-45	1.05974355948890	-0.7479220254	-0.7479220254	0.06543469842

-80	45	1.06445533725896	-0.7469004674	0.7469004674	0.1316987043
-80	40	1.06458273631903	-0.8081783801	0.6781421806	0.1425036536
-80	35	1.06303145818684	-0.8618407174	0.6034673671	0.1519657716
-80	30	1.06098521002961	-0.9083109911	0.5244135952	0.1601597346
-80	25	1.05881291726671	-0.9475868776	0.4418670178	0.1670851331
-80	20	1.05686227041167	-0.9797673650	0.3566061574	0.1727594213
-80	15	1.05517419886839	-1.004751036	0.2692222287	0.1771647166
-80	10	1.05366052164869	-1.022353660	0.1802685341	0.1802685341
-80	5	1.05245516710364	-1.032640213	0.09034431211	0.1820823309
-80	0	1.05184639867415	-1.035866488	1.268528683e-16	0.1826512103
-80	-5	1.05211500098590	-1.032306451	-0.09031511175	0.1820234797
-80	-10	1.05296796048077	-1.021681677	-0.1801500453	0.1801500453
-80	-15	1.05410708185692	-1.003734913	-0.2689499594	0.1769855466
-80	-20	1.05538991207603	-0.9784024107	-0.3561093546	0.1725187430
-80	-25	1.05689546084451	-0.9458708459	-0.4410668191	0.1667825504
-80	-30	1.05857292773053	-0.9062458327	-0.5232212754	0.1597955915
-80	-35	1.06005305498327	-0.8594260108	-0.6017765713	0.1515399936
-80	-40	1.06093007912596	-0.8054054640	-0.6758154278	0.1420147137
-80	-45	1.05991948835362	-0.7437177808	-0.7437177808	0.1311375108

-75	45	1.06455467100911	-0.7395957282	0.7395957282	0.1981740781
-75	40	1.06473710626614	-0.7989782829	0.6704223825	0.2140855857
-75	35	1.06338287926140	-0.8508186553	0.5957496361	0.2279761716
-75	30	1.06158984473183	-0.8955678333	0.5170563296	0.2399666777
-75	25	1.05973319519130	-0.9333181677	0.4352134091	0.2500818493
-75	20	1.05814505160359	-0.9642354028	0.3509529854	0.2583660975
-75	15	1.05681794066751	-0.9882443287	0.2647992698	0.2647992698
-75	10	1.05564316041312	-1.005197588	0.1772434556	0.2693418818
-75	5	1.05469888897566	-1.015142510	0.08881346152	0.2720066159
-75	0	1.05420047564205	-1.018279466	1.246991503e-16	0.2728471605
-75	-5	1.05437643152883	-1.014832147	-0.08878630822	0.2719234542
-75	-10	1.05498689293582	-1.004572681	-0.1771332677	0.2691744386
-75	-15	1.05580685017882	-0.9872988447	-0.2645459281	0.2645459281
-75	-20	1.05674936286219	-0.9629635804	-0.3504900800	0.2580253137
-75	-25	1.05791390988629	-0.9317159040	-0.4344662613	0.2496525241
-75	-30	1.05929918817903	-0.8936354125	-0.5159406459	0.2394488871
-75	-35	1.06055410985463	-0.8485553409	-0.5941648463	0.2273697183
-75	-40	1.06124248733112	-0.7963559223	-0.6682219607	0.2133829263
-75	-45	1.06021015103673	-0.7365773878	-0.7365773878	0.1973653162

-70	45	1.06468243454850	-0.7290850329	0.7290850329	0.2653652502
-70	40	1.06494247853560	-0.7858203869	0.6593815968	0.2860152303
-70	35	1.06392909560322	-0.8351892185	0.5848057866	0.3039840155
-70	30	1.06244695059915	-0.8775437151	0.5066501002	0.3193997916
-70	25	1.06099530274135	-0.9131873812	0.4258262692	0.3323730251
-70	20	1.05985855748611	-0.9423483199	0.3429867387	0.3429867387
-70	15	1.05895954919638	-0.9649776142	0.2585649725	0.3512231283
-70	10	1.05816970864897	-0.9809794296	0.1729731410	0.3570473128
-70	5	1.05751488932543	-0.9903975816	0.08664856077	0.3604752398
-70	0	1.05713917845927	-0.9933858851	1.216506667e-16	0.3615628933
-70	-5	1.05721696600177	-0.9901185665	-0.08662415012	0.3603736866
-70	-10	1.05756349606105	-0.9804174384	-0.1728740467	0.3568427647
-70	-15	1.05802536160570	-0.9641263352	-0.2583368729	0.3509132881
-70	-20	1.05856764244140	-0.9412005331	-0.3425689785	0.3425689785
-70	-25	1.05930910884028	-0.9117360920	-0.4251495219	0.3318447990
-70	-30	1.06031749378740	-0.8757848589	-0.5056346240	0.3187596203
-70	-35	1.06128847213962	-0.8331163170	-0.5833543254	0.3032295411
-70	-40	1.06166427259822	-0.7834014008	-0.6573518265	0.2851347914
-70	-45	1.06059784579199	-0.7262879430	-0.7262879430	0.2643471927

-65	45	1.06483911301429	-0.7150851824	0.7150851824	0.3334496968
-65	40	1.06520904431970	-0.7684420908	0.6447994749	0.3583304318
-65	35	1.06459380509341	-0.8146553141	0.5704277919	0.3798800117
-65	30	1.06356276317349	-0.8540603595	0.4930919785	0.3982548862
-65	25	1.06261330015467	-0.8870877850	0.4136558276	0.4136558276
-65	20	1.06198486585387	-0.9140390876	0.3326830209	0.4262234264
-65	15	1.06153250295071	-0.9349028370	0.2505064602	0.4359523525
-65	10	1.06112266949537	-0.9496539953	0.1674496217	0.4428309306
-65	5	1.06074609964988	-0.9583545033	0.08384515468	0.4468880441
-65	0	1.06048954478844	-0.9611299325	1.177005822e-16	0.4481822480
-65	-5	1.06047894781353	-0.9581131391	-0.08382403804	0.4467754941
-65	-10	1.06057909967723	-0.9491675263	-0.1673638441	0.4426040864
-65	-15	1.06069443571454	-0.9341647423	-0.2503086883	0.4356081733
-65	-20	1.06082497358423	-0.9130407807	-0.3323196668	0.4257579082
-65	-25	1.06109372716912	-0.8858192194	-0.4130642858	0.4130642858
-65	-30	1.06163513378136	-0.8525124378	-0.4921982855	0.3975330784
-65	-35	1.06218707919667	-0.8128136238	-0.5691382265	0.3790212174
-65	-40	1.06220782567976	-0.7662770108	-0.6429827572	0.3573208384
-65	-45	1.06108272359685	-0.7125626057	-0.7125626057	0.3322733999

-60	45	1.06509496218386	-0.6972683266	0.6972683266	0.4025680561
-60	40	1.06565233930527	-0.7465778446	0.6264531940	0.4310369195
-60	35	1.06548692282134	-0.7890063211	0.5524681737	0.4555330119
-60	30	1.06501129918493	-0.8249542051	0.4762875324	0.4762875324
-60	25	1.06457659241913	-0.8548744829	0.3986345181	0.4935620128
-60	20	1.06441476562410	-0.8791690610	0.3199913691	0.5075884940
-60	15	1.06433282676343	-0.8978818404	0.2405867140	0.5183923223
-60	10	1.06422838507597	-0.9110874780	0.1606493042	0.5260166007
-60	5	1.06407673108404	-0.9188837374	0.08039191012	0.5305177731
-60	0	1.06392147206627	-0.9213830224	1.128331504e-16	0.5319607360
-60	-5	1.06384585491997	-0.9186843642	-0.08037446723	0.5304026650
-60	-10	1.06375869496644	-0.9106853756	-0.1605784027	0.5257844467
-60	-15	1.06360849883625	-0.8972707901	-0.2404229836	0.5180395322
-60	-20	1.06341096353325	-0.8783399558	-0.3196895995	0.5071098099
-60	-25	1.06325708550620	-0.8538148947	-0.3981404241	0.4929502593
-60	-30	1.06332781235888	-0.8236501818	-0.4755346542	0.4755346542
-60	-35	1.06336905797393	-0.7874380159	-0.5513700346	0.4546275504
-60	-40	1.06299506021404	-0.7447162002	-0.6248910889	0.4299620986
-60	-45	1.06174655818174	-0.6950762817	-0.6950762817	0.4013024783

-55	45	1.06556874465812	-0.6752373533	0.6752373533	0.4728062849
-55	40	1.06629835124500	-0.7198183927	0.6039993478	0.5040222647
-55	35	1.06650935702528	-0.7578239818	0.5306340647	0.5306340647
-55	30	1.06652847947036	-0.7897776068	0.4559783139	0.5530082338
-55	25	1.06661263305394	-0.8162001746	0.3806003920	0.5715095149
-55	20	1.06682303764152	-0.8374609763	0.3048108677	0.5863964885
-55	15	1.06698702194426	-0.8537023502	0.2287488553	0.5977688210
-55	10	1.06709895009896	-0.8651383904	0.1525472403	0.6057764226
-55	5	1.06710861828485	-0.8718880262	0.07628031816	0.6105025684
-55	0	1.06703143143438	-0.8740609784	1.070380628e-16	0.6120240859
-55	-5	1.06691774051423	-0.8717320683	-0.07626667361	0.6103933655
-55	-10	1.06671069448116	-0.8648236166	-0.1524917372	0.6055560156
-55	-15	1.06638850173444	-0.8532234708	-0.2286205400	0.5974335061
-55	-20	1.06599443787604	-0.8368105217	-0.3045741216	0.5859410353
-55	-25	1.06551872696927	-0.8153630887	-0.3802100524	0.5709233811
-55	-30	1.06512436532900	-0.7887378428	-0.4553780059	0.5522801832
-55	-35	1.06473254329398	-0.7565614406	-0.5297500238	0.5297500238
-55	-40	1.06405396931738	-0.7183032938	-0.6027280289	0.5029613811
-55	-45	1.06271480013132	-0.6734288450	-0.6734288450	0.4715399537

-50	45	1.06613170057061	-0.6483364388	0.6483364388	0.5440188667
-50	40	1.06692752390376	-0.6875286059	0.5769049997	0.5769049997
-50	35	1.06736751707618	-0.7205401468	0.5045276424	0.6046049714
-50	30	1.06772100041647	-0.7480271132	0.4318736552	0.6276692748
-50	25	1.06818601855965	-0.7705896808	0.3593318694	0.6466015169
-50	20	1.06870927841182	-0.7885999061	0.2870268926	0.6617138904
-50	15	1.06912941665519	-0.8022742708	0.2149687430	0.6731880447
-50	10	1.06939218147988	-0.8118294721	0.1431474397	0.6812058107
-50	5	1.06949595204304	-0.8174476200	0.07151739978	0.6859199964
-50	0	1.06946952122849	-0.8192611838	1.003272451e-16	0.6874417572
-50	-5	1.06934641341583	-0.8173333232	-0.07150740010	0.6858240900
-50	-10	1.06908782301664	-0.8115984183	-0.1431066986	0.6810119335
-50	-15	1.06865952508066	-0.8019216643	-0.2148742624	0.6728921728
-50	-20	1.06805692886430	-0.7881185378	-0.2868516888	0.6613099744
-50	-25	1.06732540302876	-0.7699688325	-0.3590423631	0.6460805634
-50	-30	1.06661567450144	-0.7472527408	-0.4314265710	0.6270194992
-50	-35	1.06596615237863	-0.7195941376	-0.5038652396	0.6038111754
-50	-40	1.06514925864365	-0.6863826910	-0.5759434628	0.5759434628
-50	-45	1.06384871365234	-0.6469481079	-0.6469481079	0.5428539187

-45	45	1.06653745494927	-0.6157656867	0.6157656867	0.6157656867
-45	40	1.06722004529071	-0.6489982834	0.5445742202	0.6489982834
-45	35	1.06766415045734	-0.6765651853	0.4737360428	0.6765651853
-45	30	1.06808679175204	-0.6992269389	0.4036988614	0.6992269389
-45	25	1.06861581963032	-0.7176214031	0.3346323559	0.7176214031
-45	20	1.06912144542642	-0.7321248280	0.2664716451	0.7321248280
-45	15	1.06951456087500	-0.7430415948	0.1990973953	0.7430415948
-45	10	1.06977279295030	-0.7506315869	0.1323566013	0.7506315869
-45	5	1.06989589876445	-0.7550871156	0.06606156259	0.7550871156
-45	0	1.06989452442761	-0.7565296734	9.264510449e-17	0.7565296734
-45	-5	1.06978238418512	-0.7550070018	-0.06605455354	0.7550070018
-45	-10	1.06954266927284	-0.7504701152	-0.1323281295	0.7504701152
-45	-15	1.06916147808302	-0.7427962917	-0.1990316665	0.7427962917
-45	-20	1.06863510241737	-0.7317917846	-0.2663504273	0.7317917846
-45	-25	1.06798014919557	-0.7171945231	-0.3344332985	0.7171945231
-45	-30	1.06727744908108	-0.6986970997	-0.4033929586	0.6986970997
-45	-35	1.06664528810885	-0.6759195452	-0.4732839608	0.6759195452
-45	-40	1.06593114595412	-0.6482144774	-0.5439165289	0.6482144774
-45	-45	1.06487408129142	-0.6148053375	-0.6148053375	0.6148053375


### -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	1.05968529493131	-0.7493106580	-0.7493106580	9.176105927e-17
-40	-90	1.05665794303719	-0.6792066335	-0.8094469455	9.912538726e-17
-35	-90	1.05309306688104	-0.6040293684	-0.8626433386	1.056398513e-16
-30	-90	1.04931408558943	-0.5246570428	-0.9087326547	1.112839783e-16
-25	-90	1.04561280127181	-0.4418950645	-0.9476470240	1.160494567e-16
-20	-90	1.04220663557518	-0.3564556629	-0.9793538848	1.199322990e-16
-15	-90	1.03896179148894	-0.2689030988	-1.003560027	1.228965985e-16
-10	-90	1.03607626635992	-0.1799127556	-1.020335940	1.249509875e-16
-5	-90	1.03399950802225	-0.09011899512	-1.030064828	1.261423933e-16
-1.42109e-14	-90	1.03319667694588	1.265259215e-16	-1.033196677	1.265259215e-16
5	-90	1.03365152744328	0.09008866662	-1.029718171	1.260999415e-16
10	-90	1.03496752590014	0.1797202248	-1.019244044	1.248172732e-16
15	-90	1.03678477998158	0.2683396467	-1.001457195	1.226390844e-16
20	-90	1.03893964928046	0.3553382878	-0.9762839219	1.195563494e-16
25	-90	1.04145640976389	0.4401384976	-0.9438800540	1.155881511e-16
30	-90	1.04390359254138	0.5219517963	-0.9040470302	1.107101737e-16
35	-90	1.04587662194189	0.5998901857	-0.8567319729	1.049159418e-16
40	-90	1.04713831056696	0.6730875317	-0.8021544840	9.823234778e-17
45	-90	1.04770671876924	0.7408405255	-0.7408405255	9.072380147e-17

-45	-85	1.05974347763908	-0.7479219676	-0.7479219676	0.06543469337
-40	-85	1.05675436378113	-0.6777481935	-0.8077088445	0.07066536732
-35	-85	1.05324249505833	-0.6025696329	-0.8605586202	0.07528912356
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-20	-85	1.04262680628276	-0.3554003369	-0.9764544006	0.08542869051
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10	-85	1.03557265092491	0.1791615339	-1.016075550	0.08889509189
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20	-85	1.03934757450426	0.3542825448	-0.9733832919	0.08516000331
25	-85	1.04177456025537	0.4388954113	-0.9412142468	0.08234557655
30	-85	1.04414892185742	0.5205823459	-0.9016750725	0.07888634703
35	-85	1.04607130087726	0.5984669274	-0.8546993494	0.07477650380
40	-85	1.04730084314358	0.6716851889	-0.8004832370	0.07003320858
45	-85	1.04783691007686	0.7395188176	-0.7395188176	0.06469951300

-45	-80	1.05991917840741	-0.7437175634	-0.7437175634	0.1311374724
-40	-80	1.05705373024202	-0.6733461827	-0.8024627323	0.1414958307
-35	-80	1.05369253137639	-0.5981657953	-0.8542692883	0.1506307243
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-1.42109e-14	-80	1.03600054331584	1.249418553e-16	-1.020261367	0.1798996064
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10	-80	1.03729959830381	0.1774693786	-1.006478860	0.1774693786
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20	-80	1.04053414248595	0.3510967252	-0.9646303246	0.1700903526
25	-80	1.04270802139256	0.4351460738	-0.9331737667	0.1645437128
30	-80	1.04487514074299	0.5164508646	-0.8945191372	0.1577278586
35	-80	1.04665348119873	0.5941698298	-0.8485624581	0.1496244562
40	-80	1.04779943118179	0.6674511683	-0.7954373277	0.1402570623
45	-80	1.04822832119907	0.7355143946	-0.7355143946	0.1296910325

-45	-75	1.06021070458288	-0.7365777723	-0.7365777723	0.1973654193
-40	-75	1.05759080555111	-0.6659226427	-0.7936157018	0.2126486864
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-5	-75	1.03979809823782	-0.08755870453	-1.000800572	0.2681637051
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5	-75	1.03923196891258	0.08751103225	-1.000255676	0.2680177005
10	-75	1.03993405970460	0.1746058832	-0.9902391711	0.2653337862
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20	-75	1.04241013358693	0.3457342147	-0.9498969479	0.2545241201
25	-75	1.04420394838616	0.4288358261	-0.9196413968	0.2464171696
30	-75	1.04605501596954	0.5094899596	-0.8824624960	0.2364551132
35	-75	1.04760699685706	0.5869113556	-0.8381962826	0.2245940170
40	-75	1.04861647727645	0.6602718670	-0.7868813696	0.2108442275
45	-75	1.04887446455191	0.7287019582	-0.7287019582	0.1952551012

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10	-70	1.04322492763510	0.1705302004	-0.9671248251	0.3520046492
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25	-70	1.04619754976775	0.4198872495	-0.9004511125	0.3277374023
30	-70	1.04765754232380	0.4995974608	-0.8653281854	0.3149537024
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40	-70	1.04972201836060	0.6499575279	-0.7745892189	0.2819274194
45	-70	1.04976249185349	0.7188679893	-0.7188679893	0.2616465505

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25	-65	1.04864156351100	0.4082168873	-0.8754239399	0.4082168873
30	-65	1.04967141615855	0.4866516328	-0.8429053537	0.3930532215
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45	-65	1.05088715020940	0.7057158404	-0.7057158404	0.3290807009

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25	-60	1.05146288654539	0.3937240440	-0.8443439372	0.4874821994
30	-60	1.05209387475151	0.4705106845	-0.8149484111	0.4705106845
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45	-60	1.05227555786734	0.6888760566	-0.6888760566	0.3977227767

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25	-55	1.05431409563298	0.3762118933	-0.8067890087	0.5649197456
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45	-55	1.05395948266351	0.6678807117	-0.6678807117	0.4676551090

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25	-50	1.05688729066728	0.3555310399	-0.7624387755	0.6397620953
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