path: root/test/test_ah/h.t4.ah1.gp

# 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	1.06140488130289	-0.6128023939	-0.6128023939	0.6128023939
-40	-45	1.06083502192111	-0.5413161113	-0.6451154204	0.6451154204
-35	-45	1.06029058682072	-0.4704642997	-0.6718926518	0.6718926518
-30	-45	1.05993704337734	-0.4006185460	-0.6938916762	0.6938916762
-25	-45	1.05965623581090	-0.3318267015	-0.7116046579	0.7116046579
-20	-45	1.05930433420272	-0.2640247933	-0.7254021578	0.7254021578
-15	-45	1.05886476011938	-0.1971148626	-0.7356426820	0.7356426820
-10	-45	1.05838586981242	-0.1309477653	-0.7426416808	0.7426416808
-5	-45	1.05791541798767	-0.06532181839	-0.7466318007	0.7466318007
-2.38542e-15	-45	1.05748866796276	-3.113165593e-17	-0.7477574081	0.7477574081
5	-45	1.05712230272786	0.06527284687	-0.7460720536	0.7460720536
10	-45	1.05682638943977	0.1307548201	-0.7415474342	0.7415474342
15	-45	1.05660998715720	0.1966951213	-0.7340761862	0.7340761862
20	-45	1.05646954064297	0.2633182392	-0.7234609164	0.7234609164
25	-45	1.05641296092705	0.3308110842	-0.7094266595	0.7094266595
30	-45	1.05647785533345	0.3993110958	-0.6916271060	0.6916271060
35	-45	1.05654783310256	0.4688035927	-0.6695209164	0.6695209164
40	-45	1.05641594164234	0.5390611713	-0.6424280875	0.6424280875
45	-45	1.05586189114172	0.6096021471	-0.6096021471	0.6096021471

-45	-40	1.06249384750051	-0.6461241861	-0.5421625663	0.6461241861
-40	-40	1.06197356199160	-0.5742263122	-0.5742263122	0.6843362705
-35	-40	1.06132825834323	-0.5016729809	-0.6011840636	0.7164632676
-30	-40	1.06079967799277	-0.4290741066	-0.6236005140	0.7431781528
-25	-40	1.06043082992247	-0.3567230669	-0.6419070942	0.7649950856
-20	-40	1.06004237342162	-0.2846991924	-0.6563475934	0.7822046024
-15	-40	1.05958032241160	-0.2130487165	-0.6671753619	0.7951086344
-10	-40	1.05910598020503	-0.1417705422	-0.6746534717	0.8040206986
-5	-40	1.05865430393387	-0.07079241668	-0.6789667179	0.8091610253
-2.38542e-15	-40	1.05822579111062	-3.375000224e-17	-0.6802144268	0.8106479868
5	-40	1.05784244272511	0.07073812737	-0.6784460317	0.8085404956
10	-40	1.05753701688183	0.1415605228	-0.6736540377	0.8028296195
15	-40	1.05735412389835	0.2126010971	-0.6657736137	0.7934380960
20	-40	1.05727999445123	0.2839572908	-0.6546372082	0.7801662447
25	-40	1.05730300331981	0.3556708833	-0.6400137372	0.7627386707
30	-40	1.05741819544854	0.4277063586	-0.6216126794	0.7408091439
35	-40	1.05742201916839	0.4998265637	-0.5989713941	0.7138263107
40	-40	1.05709854943861	0.5715903139	-0.5715903139	0.6811948101
45	-40	1.05624057315318	0.6423214424	-0.5389716854	0.6423214424

-45	-35	1.06327099640349	-0.6737812995	-0.4717867450	0.6737812995
-40	-35	1.06264143120546	-0.6019279038	-0.5022936968	0.7173497418
-35	-35	1.06174580744520	-0.5282639948	-0.5282639948	0.7544391713
-30	-35	1.06089375256544	-0.4535692706	-0.5500865580	0.7856050214
-25	-35	1.06030013690485	-0.3783478980	-0.5681271702	0.8113696857
-20	-35	1.05986745468003	-0.3028235304	-0.5825732402	0.8320008118
-15	-35	1.05946888410122	-0.2271370593	-0.5935568594	0.8476870456
-10	-35	1.05906561409641	-0.1513988339	-0.6012160156	0.8586254542
-5	-35	1.05865259539135	-0.07567585474	-0.6056648006	0.8649789778
-2.38542e-15	-35	1.05824086083336	-3.609030427e-17	-0.6069820218	0.8668601645
5	-35	1.05786507129679	0.07561956002	-0.6052142509	0.8643355261
10	-35	1.05756719117108	0.1511846267	-0.6003653828	0.8574106248
15	-35	1.05738526044119	0.2266903561	-0.5923895301	0.8460199266
20	-35	1.05733953555184	0.3021012576	-0.5811837287	0.8300163836
25	-35	1.05744578031638	0.3773293753	-0.5665977565	0.8091854566
30	-35	1.05762768872484	0.4521729138	-0.5483930635	0.7831864605
35	-35	1.05763283538538	0.5262176152	-0.5262176152	0.7515166382
40	-35	1.05723560814601	0.5988658025	-0.4997384502	0.7137004716
45	-35	1.05624024463364	0.6693260015	-0.4686671118	0.6693260015

-45	-30	1.06399478190245	-0.6965480896	-0.4021522270	0.6965480896
-40	-30	1.06314098365470	-0.6249768713	-0.4300211220	0.7448184316
-35	-30	1.06191744275789	-0.5506173541	-0.4540069340	0.7863630767
-30	-30	1.06076137060803	-0.4743869065	-0.4743869065	0.8216622245
-25	-30	1.05993196956838	-0.3968953225	-0.4914086596	0.8511447658
-20	-30	1.05937543946738	-0.3184764137	-0.5051853857	0.8750067553
-15	-30	1.05894096716110	-0.2393679132	-0.5157661714	0.8933332136
-10	-30	1.05854207452893	-0.1597909340	-0.5232060256	0.9062194192
-5	-30	1.05814624820844	-0.07994385705	-0.5275610065	0.9137624674
-2.38542e-15	-30	1.05775967778186	-3.813810734e-17	-0.5288798389	0.9160467521
5	-30	1.05742128650447	0.07988908557	-0.5271995616	0.9131364265
10	-30	1.05717375946020	0.1595843817	-0.5225297080	0.9050480027
15	-30	1.05705113888612	0.2389407276	-0.5148457145	0.8917389355
20	-30	1.05707839017051	0.3177858596	-0.5040899896	0.8731094735
25	-30	1.05726864594147	0.3958980314	-0.4901738820	0.8490060682
30	-30	1.05747453132758	0.4729169873	-0.4729169873	0.8191162498
35	-30	1.05748572314336	0.5483194526	-0.4521122185	0.7830813332
40	-30	1.05710594841089	0.6214291222	-0.4275800604	0.7405903889
45	-30	1.05611960887639	0.6913925787	-0.3991756914	0.6913925787

-45	-25	1.06481135301887	-0.7150665404	-0.3334410039	0.7150665404
-40	-25	1.06368073136118	-0.6438743463	-0.3578163157	0.7673395654
-35	-25	1.06210951437595	-0.5690966660	-0.3789935399	0.8127542691
-30	-25	1.06065392704630	-0.4917433756	-0.3971656620	0.8517245109
-25	-25	1.05955594490224	-0.4124656554	-0.4124656554	0.8845354524
-20	-25	1.05884372019967	-0.3316990089	-0.4249627400	0.9113355369
-15	-25	1.05834184104863	-0.2497535097	-0.4346420049	0.9320927875
-10	-25	1.05791813505959	-0.1669439327	-0.4414936046	0.9467860904
-5	-25	1.05752596336245	-0.08359062362	-0.4455314137	0.9554452000
-2.38542e-15	-25	1.05717359282555	-3.988995215e-17	-0.4467808662	0.9581246594
5	-25	1.05689938799236	0.08354109687	-0.4452674400	0.9548791066
10	-25	1.05673468618359	0.1667571795	-0.4409997241	0.9457269603
15	-25	1.05669569120560	0.2493650419	-0.4339659607	0.9306430060
20	-25	1.05679638294072	0.3310576491	-0.4241410493	0.9095734155
25	-25	1.05704649874849	0.4114887741	-0.4114887741	0.8824405238
30	-25	1.05726651698201	0.4901728950	-0.3958972342	0.8490043586
35	-25	1.05727886340638	0.5665083195	-0.3772698142	0.8090577274
40	-25	1.05695922589072	0.6398056396	-0.3555552385	0.7624906695
45	-25	1.05606821854134	0.7091951502	-0.3307031297	0.7091951502

-45	-20	1.06558563373594	-0.7297035356	-0.2655903668	0.7297035356
-40	-20	1.06423680874911	-0.6589446665	-0.2858257062	0.7852996736
-35	-20	1.06245875819525	-0.5839975920	-0.3035639132	0.8340349969
-30	-20	1.06076511830353	-0.5058480832	-0.3188941881	0.8761545810
-25	-20	1.05942233175270	-0.4251949635	-0.3318802678	0.9118335418
-20	-20	1.05859270234889	-0.3425770883	-0.3425770883	0.9412228145
-15	-20	1.05811782720155	-0.2583594501	-0.3509439560	0.9642105945
-10	-20	1.05772422768331	-0.1729003206	-0.3568969987	0.9805664451
-5	-20	1.05736062095694	-0.08663592063	-0.3604226543	0.9902531041
-2.38542e-15	-20	1.05705802091446	-4.135482048e-17	-0.3615351358	0.9933096220
5	-20	1.05685847790988	0.08659477703	-0.3602514887	0.9897828306
10	-20	1.05677264618322	0.1727447709	-0.3565759164	0.9796842786
15	-20	1.05677946680799	0.2580326642	-0.3505000645	0.9629910127
20	-20	1.05687950782567	0.3420226719	-0.3420226719	0.9396995679
25	-20	1.05709935162745	0.4242626446	-0.3311525587	0.9098341775
30	-20	1.05725604228355	0.5041747067	-0.3178392666	0.8732562079
35	-20	1.05720599196184	0.5811103243	-0.3020631018	0.8299115513
40	-20	1.05684018001722	0.6543648878	-0.2838391684	0.7798417059
45	-20	1.05603048460810	0.7231602548	-0.2632088073	0.7231602548

-45	-15	1.06622814286899	-0.7407583671	-0.1984856062	0.7407583671
-40	-15	1.06471205569399	-0.6704066091	-0.2140805488	0.7989594849
-35	-15	1.06285718958890	-0.5954551237	-0.2278634702	0.8503980480
-30	-15	1.06100951394675	-0.5167736746	-0.2398354970	0.8950782604
-25	-15	1.05949884151723	-0.4351171642	-0.2500265452	0.9331117700
-20	-15	1.05866588677925	-0.3511257299	-0.2584932692	0.9647100142
-15	-15	1.05856651359440	-0.2652373971	-0.2652373971	0.9898794422
-10	-15	1.05839002055091	-0.1777046560	-0.2700427290	1.007813185
-5	-15	1.05814086498057	-0.08910330141	-0.2728943007	1.018455395
-2.38542e-15	-15	1.05790930038041	-4.254354848e-17	-0.2738070749	1.021861915
5	-15	1.05775480337517	0.08907079216	-0.2727947355	1.018083813
10	-15	1.05767529244278	0.1775846525	-0.2698603698	1.007132611
15	-15	1.05757936404664	0.2649900542	-0.2649900542	0.9889563457
20	-15	1.05746625021469	0.3507278486	-0.2582003553	0.9636168445
25	-15	1.05743559931949	0.4342698277	-0.2495396496	0.9312946509
30	-15	1.05736219259914	0.5149972158	-0.2390110397	0.8920013436
35	-15	1.05718972028957	0.5922799806	-0.2266484347	0.8458634738
40	-15	1.05680505813873	0.6654278889	-0.2124906970	0.7930260773
45	-15	1.05604957162832	0.7336868394	-0.1965907961	0.7336868394

-45	-10	1.06672610705728	-0.7484938071	-0.1319796531	0.7484938071
-40	-10	1.06515739972072	-0.6785082428	-0.1425805773	0.8086146360
-35	-10	1.06325396087442	-0.6035936786	-0.1519975795	0.8620211090
-30	-10	1.06130884260394	-0.5245735572	-0.1602085882	0.9085880534
-25	-10	1.05968023774965	-0.4422289706	-0.1672219999	0.9483630879
-20	-10	1.05882931703894	-0.3572698777	-0.1730809635	0.9815909215
-15	-10	1.05892376690319	-0.2701789116	-0.1777942725	1.008321425
-10	-10	1.05883978261244	-0.1811546428	-0.1811546428	1.027379032
-5	-10	1.05865955933795	-0.09087690634	-0.1831557354	1.038727793
-2.38542e-15	-10	1.05847842607173	-4.339852479e-17	-0.1838028498	1.042397760
5	-10	1.05835989540557	0.09085118274	-0.1831038914	1.038433771
10	-10	1.05829898779753	0.1810621194	-0.1810621194	1.026854306
15	-10	1.05820190735529	0.2699947329	-0.1776730716	1.007634061
20	-10	1.05797519961252	0.3569816816	-0.1729413456	0.9807991094
25	-10	1.05775163037969	0.4414241183	-0.1669176576	0.9466370767
30	-10	1.05750958176092	0.5226956950	-0.1596350754	0.9053355006
35	-10	1.05725372040029	0.6001874301	-0.1511398145	0.8571564820
40	-10	1.05684422187156	0.6732127253	-0.1414677862	0.8023036839
45	-10	1.05611776909149	0.7410502139	-0.1306671468	0.7410502139

-45	-5	1.06708230421305	-0.7531013999	-0.06588783498	0.7531013999
-40	-5	1.06552193365663	-0.6833712643	-0.07125165640	0.8144101593
-35	-5	1.06360287526549	-0.6084969009	-0.07602971649	0.8690236361
-30	-5	1.06161013330873	-0.5292879991	-0.08020555654	0.9167537062
-25	-5	1.05991398721263	-0.4465374785	-0.08377938154	0.9576027129
-20	-5	1.05904033004729	-0.3609952170	-0.08677354931	0.9918262071
-15	-5	1.05922116579744	-0.2731729101	-0.08919427074	1.019495180
-10	-5	1.05919430402464	-0.1832482501	-0.09092280962	1.039252469
-5	-5	1.05905309839512	-0.09195397326	-0.09195397326	1.051038724
-2.38542e-15	-5	1.05890090545971	-4.391784718e-17	-0.09228929491	1.054871468
5	-5	1.05880295556849	0.09193225421	-0.09193225421	1.050790474
10	-5	1.05875199644521	0.1831717277	-0.09088484128	1.038818489
15	-5	1.05865067422309	0.2730257804	-0.08914623112	1.018946084
20	-5	1.05839268752040	0.3607744550	-0.08672048406	0.9912196685
25	-5	1.05804129252906	0.4457485198	-0.08363135708	0.9559107855
30	-5	1.05768252364007	0.5273298069	-0.07990882226	0.9133620179
35	-5	1.05736515823472	0.6049282461	-0.07558382464	0.8639270689
40	-5	1.05692851136889	0.6778598829	-0.07067701260	0.8078419507
45	-5	1.05620667450220	0.7454258421	-0.06521631068	0.7454258421

-45	-2.38542e-15	1.06731004638645	-0.7547021714	-3.142078978e-17	0.7547021714
-40	-2.38542e-15	1.06577272002091	-0.6850654992	-3.399069650e-17	0.8164292698
-35	-2.38542e-15	1.06386746136447	-0.6102093072	-3.628219416e-17	0.8714692058
-30	-2.38542e-15	1.06187869188632	-0.5309393459	-3.828662066e-17	0.9196139229
-25	-2.38542e-15	1.06018006124259	-0.4480514546	-4.000339415e-17	0.9608494452
-20	-2.38542e-15	1.05931705990625	-0.3623077727	-4.144319988e-17	0.9954324243
-15	-2.38542e-15	1.05954404399189	-0.2742301777	-4.260928927e-17	1.023440956
-10	-2.38542e-15	1.05955099857443	-0.1839891000	-4.344250118e-17	1.043454038
-5	-2.38542e-15	1.05943072741823	-0.09233547194	-4.393982152e-17	1.055399274
-2.38542e-15	-2.38542e-15	1.05928829507481	-4.410173456e-17	-4.410173456e-17	1.059288295
5	-2.38542e-15	1.05918865967121	0.09231437434	-4.392978177e-17	1.055158127
10	-2.38542e-15	1.05912354686846	0.1839148738	-4.342497530e-17	1.043033080
15	-2.38542e-15	1.05899630337857	0.2740884120	-4.258726202e-17	1.022911879
20	-2.38542e-15	1.05870332025658	0.3620978613	-4.141918881e-17	0.9948556976
25	-2.38542e-15	1.05827267064430	0.4472453565	-3.993142326e-17	0.9591207622
30	-2.38542e-15	1.05784055412088	0.5289202771	-3.814102338e-17	0.9161167930
35	-2.38542e-15	1.05747743468453	0.6065441385	-3.606426834e-17	0.8662348024
40	-2.38542e-15	1.05701767724570	0.6794378662	-3.371147186e-17	0.8097225179
45	-2.38542e-15	1.05629494376306	0.7469133177	-3.109651360e-17	0.7469133177

-45	5	1.06742630429342	-0.7533441806	0.06590907553	0.7533441806
-40	5	1.06590659340823	-0.6836179654	0.07127737867	0.8147041663
-35	5	1.06403526607977	-0.6087442756	0.07606062517	0.8693769238
-30	5	1.06209979658170	-0.5295321310	0.08024255102	0.9171765551
-25	5	1.06047158834603	-0.4467723936	0.08382345632	0.9581064900
-20	5	1.05967286259639	-0.3612108284	0.08682537651	0.9924185947
-15	5	1.05992358137061	-0.2733540629	0.08925341934	1.020171251
-10	5	1.05995130701631	-0.1833792171	0.09098779187	1.039995220
-5	5	1.05984195330541	-0.09202246684	0.09202246684	1.051821609
-2.38542e-15	5	1.05969269354990	-4.395068655e-17	0.09235830379	1.055660243
5	5	1.05956503157358	0.09199842267	0.09199842267	1.051546783
10	5	1.05945217046012	0.1832928629	0.09094494525	1.039505481
15	5	1.05926153619885	0.2731833216	0.08919767023	1.019534036
20	5	1.05889563201403	0.3609458937	0.08676169333	0.9916906926
25	5	1.05842531645200	0.4459103075	0.08366171170	0.9562577404
30	5	1.05795872430893	0.5274675125	0.07992968946	0.9136005310
35	5	1.05756420339199	0.6050421217	0.07559805302	0.8640897000
40	5	1.05709167475988	0.6779645275	0.07068792337	0.8079666613
45	5	1.05637470328415	0.7455444297	0.06522668575	0.7455444297

-45	10	1.06742072829380	-0.7489812047	0.1320655944	0.7489812047
-40	10	1.06592911961969	-0.6789998306	0.1426838787	0.8092004875
-35	10	1.06411933160307	-0.6040849369	0.1521212886	0.8627226985
-30	10	1.06228776196233	-0.5250574081	0.1603563597	0.9094261077
-25	10	1.06079933537958	-0.4426959958	0.1673985982	0.9493646268
-20	10	1.06011143921329	-0.3577024909	0.1732905449	0.9827795168
-15	10	1.06035780956538	-0.2705448001	0.1780350496	1.009686940
-10	10	1.06039087016653	-0.1814200151	0.1814200151	1.028884033
-5	10	1.06028138168846	-0.09101612597	0.1834363224	1.040319080
-2.38542e-15	10	1.06011011376396	-4.346542539e-17	0.1840861894	1.044004659
5	10	1.05993135733963	0.09098607937	0.1833757657	1.039975646
10	10	1.05974125859830	0.1813088744	0.1813088744	1.028253723
15	10	1.05945596299200	0.2703146987	0.1778836287	1.008828189
20	10	1.05899727206650	0.3573265490	0.1731084182	0.9817466247
25	10	1.05851940765049	0.4417445295	0.1670388160	0.9473242006
30	10	1.05804703622577	0.5229613428	0.1597162061	0.9057956162
35	10	1.05762901611636	0.6004004800	0.1511934649	0.8574607487
40	10	1.05714915982155	0.6734069716	0.1415086048	0.8025351777
45	10	1.05643876584652	0.7412754489	0.1307068618	0.7412754489

-45	15	1.06728660800040	-0.7414937321	0.1986826467	0.7414937321
-40	15	1.06587417081544	-0.6711383466	0.2143142141	0.7998315357
-35	15	1.06415558325309	-0.5961825358	0.2281418298	0.8514369001
-30	15	1.06247167476596	-0.5174858324	0.2401660106	0.8963117539
-25	15	1.06117866659989	-0.4358070383	0.2504229599	0.9345912096
-20	15	1.06063300727813	-0.3517781610	0.2589735788	0.9665025541
-15	15	1.06079051050964	-0.2657946480	0.2657946480	0.9919591309
-10	15	1.06080545436085	-0.1781102095	0.2706590144	1.010113193
-5	15	1.06068222273061	-0.08931730256	0.2735497163	1.020901440
-2.38542e-15	15	1.06047705772361	-4.264681018e-17	0.2744716594	1.024342178
5	15	1.06023027597504	0.08927924529	0.2734331594	1.020466443
10	15	1.05994367187285	0.1779655155	0.2704391351	1.009292592
15	15	1.05954466069689	0.2654824844	0.2654824844	0.9907941204
20	15	1.05904260448004	0.3512506751	0.2585852520	0.9650532984
25	15	1.05858756476082	0.4347429192	0.2498114970	0.9323091989
30	15	1.05812720248538	0.5153698204	0.2391839660	0.8926467136
35	15	1.05768852115747	0.5925594288	0.2267553715	0.8462625672
40	15	1.05720382782173	0.6656789783	0.2125708772	0.7933253139
45	15	1.05648969042136	0.7339926104	0.1966727272	0.7339926104

-45	20	1.06702989335680	-0.7306925518	0.2659503392	0.7306925518
-40	20	1.06580874300479	-0.6599179627	0.2862478859	0.7864596029
-35	20	1.06418855215200	-0.5849484011	0.3040581470	0.8353928931
-30	20	1.06268651133927	-0.5067643397	0.3194718099	0.8777415839
-25	20	1.06162809730279	-0.4260802388	0.3325712576	0.9137320207
-20	20	1.06128051597371	-0.3434469067	0.3434469067	0.9436126208
-15	20	1.06114908436165	-0.2590995888	0.3519493273	0.9669728297
-10	20	1.06104095229287	-0.1734424872	0.3580161270	0.9836412247
-5	20	1.06088249942166	-0.08692448934	0.3616231575	0.9935514595
-2.38542e-15	20	1.06063692060888	-4.149483622e-17	0.3627591916	0.9966726876
5	20	1.06031339881210	0.08687785950	0.3614291681	0.9930184780
10	20	1.05993442640609	0.1732616096	0.3576427633	0.9826154165
15	20	1.05950023598719	0.2586969913	0.3514024569	0.9654703155
20	20	1.05903910483324	0.3427215511	0.3427215511	0.9416197228
25	20	1.05862840027863	0.4248763222	0.3316315566	0.9111502134
30	20	1.05819023561350	0.5046201964	0.3181201099	0.8740278187
35	20	1.05773399343819	0.5814005488	0.3022139614	0.8303260349
40	20	1.05724876193568	0.6546178699	0.2839489026	0.7801431982
45	20	1.05652851670864	0.7235013027	0.2633329386	0.7235013027

-45	25	1.06667076208222	-0.7163152134	0.3340232697	0.7163152134
-40	25	1.06568147622841	-0.6450854506	0.3584893553	0.7687829033
-35	25	1.06426112591326	-0.5702495367	0.3797613015	0.8144007392
-30	25	1.06297501501956	-0.4928194850	0.3980348018	0.8535883870
-25	25	1.06211179473664	-0.4134606008	0.4134606008	0.8866691197
-20	25	1.06175165944259	-0.3326099654	0.4261298299	0.9138383693
-15	25	1.06144456476242	-0.2504857080	0.4359162379	0.9348253889
-10	25	1.06118139393908	-0.1674588887	0.4428554377	0.9497065509
-5	25	1.06091025761368	-0.08385813031	0.4469572032	0.9585028154
-2.38542e-15	25	1.06059244990660	-4.001895466e-17	0.4482257376	0.9612231962
5	25	1.06023243576946	0.08380455285	0.4466716396	0.9578904223
10	25	1.05984985673710	0.1672487665	0.4422997565	0.9485148888
15	25	1.05944853639098	0.2500146739	0.4350965048	0.9330674657
20	25	1.05904060440558	0.3317606859	0.4250417587	0.9115049931
25	25	1.05866455637970	0.4121186542	0.4121186542	0.8837913060
30	25	1.05824052407480	0.4906244669	0.3962619547	0.8497865041
35	25	1.05775830746415	0.5667652140	0.3774408946	0.8094246106
40	25	1.05725609027320	0.6399853395	0.3556551020	0.7627048276
45	25	1.05652302626691	0.7095005731	0.3308455507	0.7095005731

-45	30	1.06630575703729	-0.6980609779	0.4030256935	0.6980609779
-40	30	1.06559060042963	-0.6264169003	0.4310119473	0.7465345914
-35	30	1.06447769541848	-0.5519448768	0.4551015318	0.7882589757
-30	30	1.06341140455795	-0.4755720377	0.4755720377	0.8237149320
-25	30	1.06265946084618	-0.3979166414	0.4926731869	0.8533349912
-20	30	1.06217298519808	-0.3193174303	0.5065194540	0.8773174294
-15	30	1.06171090716447	-0.2399940432	0.5171152941	0.8956699628
-10	30	1.06130943993081	-0.1602086783	0.5245738524	0.9085885648
-5	30	1.06093384625081	-0.08015446247	0.5289508220	0.9161696984
-2.38542e-15	30	1.06055220803635	-3.823879356e-17	0.5302761040	0.9184651542
5	30	1.06016718927397	0.08009654088	0.5285685891	0.9155076515
10	30	1.05979236809790	0.1599796706	0.5238240087	0.9072897973
15	30	1.05942588543637	0.2394775263	0.5160023549	0.8937422955
20	30	1.05906243687859	0.3183823168	0.5050361238	0.8747482262
25	30	1.05871708466423	0.3964404045	0.4908454113	0.8501691910
30	30	1.05831437759002	0.4732925780	0.4732925780	0.8197667919
35	30	1.05780140668073	0.5484831384	0.4522471843	0.7833151008
40	30	1.05724206596427	0.6215091401	0.4276351175	0.7406857506
45	30	1.05647650553015	0.6916262224	0.3993105857	0.6916262224

-45	35	1.06607639310200	-0.6755590437	0.4730315349	0.6755590437
-40	35	1.06556974506070	-0.6035866325	0.5036778641	0.7193265377
-35	35	1.06472346047026	-0.5297455047	0.5297455047	0.7565549866
-30	35	1.06383631380285	-0.4548273187	0.5516123125	0.7877840246
-25	35	1.06311658155983	-0.3793528926	0.5696362700	0.8135249036
-20	35	1.06245442694746	-0.3035626757	0.5839952112	0.8340315968
-15	35	1.06185908191569	-0.2276494882	0.5948959438	0.8495994564
-10	35	1.06136460540361	-0.1517274864	0.6025211192	0.8604893354
-5	35	1.06092728425104	-0.07583845674	0.6069661709	0.8668375271
-2.38542e-15	35	1.06050807900315	-3.616762560e-17	0.6082824447	0.8687173609
5	35	1.06010286152435	0.07577952438	0.6064945111	0.8661639271
10	35	1.05972013984730	0.1514924017	0.6015875802	0.8591561036
15	35	1.05936289228531	0.2271143360	0.5934974785	0.8476022410
20	35	1.05901294087357	0.3025793801	0.5821035429	0.8313300145
25	35	1.05867061673232	0.3777664348	0.5672540451	0.8101227338
30	35	1.05829090823931	0.4524564634	0.5487369510	0.7836775828
35	35	1.05778037435867	0.5262910221	0.5262910221	0.7516214742
40	35	1.05717930022677	0.5988339071	0.4997118344	0.7136624602
45	35	1.05642533611250	0.6694432917	0.4687492392	0.6694432917

-45	40	1.06586021254016	-0.6481713414	0.5438803335	0.6481713414
-40	40	1.06544515823044	-0.5761034605	0.5761034605	0.6865733688
-35	40	1.06478352369738	-0.5033062298	0.6031412813	0.7187957889
-30	40	1.06408925414119	-0.4304046801	0.6255343205	0.7454827738
-25	40	1.06338586794023	-0.3577171253	0.6436958576	0.7671268508
-20	40	1.06256898317491	-0.2853777726	0.6579119971	0.7840689861
-15	40	1.06191780860997	-0.2135187124	0.6686471835	0.7968626831
-10	40	1.06139659596615	-0.1420771610	0.6761126003	0.8057596204
-5	40	1.06094049910649	-0.07094529499	0.6804329666	0.8109084324
-2.38542e-15	40	1.06051253268776	-3.382293331e-17	0.6816843159	0.8123997325
5	40	1.06010300708658	0.07088929174	0.6798958420	0.8102683123
10	40	1.05971251396255	0.1418517320	0.6750398354	0.8044811490
15	40	1.05934007398489	0.2130004100	0.6670240871	0.7949283521
20	40	1.05896184686140	0.2844089917	0.6556785626	0.7814072825
25	40	1.05856667569321	0.3560959757	0.6407786719	0.7636502843
30	40	1.05814513508654	0.4280003925	0.6220400173	0.7413184254
35	40	1.05760607860208	0.4999135657	0.5990756536	0.7139505624
40	40	1.05697978312808	0.5715260950	0.5715260950	0.6811182770
45	40	1.05628309920287	0.6423473033	0.5389933853	0.6423473033

-45	45	1.06544391195300	-0.6151343294	0.6151343294	0.6151343294
-40	45	1.06497957897692	-0.5434309694	0.6476358101	0.6476358101
-35	45	1.06438038439844	-0.4722789944	0.6744843045	0.6744843045
-30	45	1.06376389838896	-0.4020649613	0.6963969408	0.6963969408
-25	45	1.06296340856048	-0.3328623282	0.7138255664	0.7138255664
-20	45	1.06225075678778	-0.2647591702	0.7274198417	0.7274198417
-15	45	1.06167104900317	-0.1976372723	0.7375923416	0.7375923416
-10	45	1.06118571546996	-0.1312941735	0.7446062593	0.7446062593
-5	45	1.06075060579062	-0.06549687929	0.7486327559	0.7486327559
-2.38542e-15	45	1.06034367030114	-3.121570501e-17	0.7497761997	0.7497761997
5	45	1.05995240626294	0.06544759383	0.7480694206	0.7480694206
10	45	1.05957016845225	0.1310942915	0.7434726722	0.7434726722
15	45	1.05919244572978	0.1971758635	0.7358703405	0.7358703405
20	45	1.05879386117705	0.2638975612	0.7250525904	0.7250525904
25	45	1.05836270033268	0.3314216366	0.7107359933	0.7107359933
30	45	1.05791181100074	0.3998530801	0.6925658504	0.6925658504
35	45	1.05737816221785	0.4691720202	0.6700470854	0.6700470854
40	45	1.05672816862718	0.5392204925	0.6426179591	0.6426179591
45	45	1.05604801883890	0.6097096080	0.6097096080	0.6097096080


### +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	1.05586237641818	0.6096024273	-0.6096024273	0.6096024273
45	-40	1.05624127723912	0.6423218706	-0.5389720447	0.6423218706
45	-35	1.05624120573427	0.6693266106	-0.4686675383	0.6693266106
45	-30	1.05612054327125	0.6913931904	-0.3991760446	0.6913931904
45	-25	1.05606514026953	0.7091930830	-0.3307021657	0.7091930830
45	-20	1.05603054215491	0.7231602942	-0.2632088217	0.7231602942
45	-15	1.05604959625057	0.7336868565	-0.1965908007	0.7336868565
45	-10	1.05611784592973	0.7410502678	-0.1306671563	0.7410502678
45	-5	1.05620673506195	0.7454258848	-0.06521631442	0.7454258848
45	-2.38542e-15	1.05629498111206	0.7469133441	-3.109651470e-17	0.7469133441
45	5	1.05637475153215	0.7455444637	0.06522668873	0.7455444637
45	10	1.05643880156772	0.7412754740	0.1307068662	0.7412754740
45	15	1.05648959950011	0.7339925473	0.1966727103	0.7339925473
45	20	1.05652829727342	0.7235011524	0.2633328839	0.7235011524
45	25	1.05652227835658	0.7095000709	0.3308453165	0.7095000709
45	30	1.05647595157109	0.6916258597	0.3993103763	0.6916258597
45	35	1.05642519942999	0.6694432050	0.4687491786	0.6694432050
45	40	1.05628519863573	0.6423485801	0.5389944566	0.6423485801
45	45	1.05605060496133	0.6097111011	0.6097111011	0.6097111011

50	-45	1.05419830638909	0.6410794983	-0.6410794983	0.5379295706
50	-40	1.05469277155928	0.6796445257	-0.5702894708	0.5702894708
50	-35	1.05474096702908	0.7120164321	-0.4985592731	0.5974527255
50	-30	1.05462800354533	0.7388543830	-0.4265777769	0.6199724403
50	-25	1.05461031776718	0.7607961666	-0.3547650788	0.6383837828
50	-20	1.05472022764392	0.7782773944	-0.2832698055	0.6530522746
50	-15	1.05484705165366	0.7915567900	-0.2120970026	0.6641950106
50	-10	1.05499044403133	0.8008963878	-0.1412196419	0.6720318636
50	-5	1.05513494416075	0.8064710738	-0.07055707642	0.6767095806
50	-2.38542e-15	1.05526361266125	0.8083788265	-3.365552947e-17	0.6783103752
50	5	1.05537673541301	0.8066558821	0.07057324505	0.6768646531
50	10	1.05546064181105	0.8012533386	0.1412825820	0.6723313809
50	15	1.05551631320262	0.7920590036	0.2122315704	0.6646164178
50	20	1.05553870569040	0.7788813488	0.2834896270	0.6535590525
50	25	1.05550075336673	0.7614385271	0.3550646164	0.6389227872
50	30	1.05545405957237	0.7394331038	0.4269119015	0.6204580447
50	35	1.05541604502099	0.7124721521	0.4988783717	0.5978351201
50	40	1.05531770411228	0.6800472325	0.5706273820	0.5706273820
50	45	1.05519201647286	0.6416837937	0.6416837937	0.5384366346

55	-45	1.05240318385367	0.6668945050	-0.6668945050	0.4669645596
55	-40	1.05288862697722	0.7107659861	-0.5964034768	0.4976837014
55	-35	1.05291654190614	0.7481654062	-0.5238710572	0.5238710572
55	-30	1.05282745347008	0.7796318266	-0.4501206449	0.5459040820
55	-25	1.05285538403966	0.8056727641	-0.3756913798	0.5641381427
55	-20	1.05308383046124	0.8266756356	-0.3008853248	0.5788445117
55	-15	1.05334587263400	0.8427879895	-0.2258243612	0.5901265034
55	-10	1.05358155692251	0.8541793170	-0.1506148599	0.5981027967
55	-5	1.05379809408006	0.8610125760	-0.07532883955	0.6028874962
55	-2.38542e-15	1.05398531547375	0.8633742258	-3.594517291e-17	0.6045411412
55	5	1.05415685003976	0.8613056998	0.07535448457	0.6030927437
55	10	1.05429270964747	0.8547558760	0.1507165229	0.5985065077
55	15	1.05439590408392	0.8436281256	0.2260494750	0.5907147730
55	20	1.05444551024018	0.8277445605	0.3012743816	0.5795929810
55	25	1.05442361328486	0.8068728145	0.3762509726	0.5649784271
55	30	1.05441710706062	0.7808089848	0.4508002776	0.5467283371
55	35	1.05441212561654	0.7492281153	0.5246151742	0.5246151742
55	40	1.05437900595205	0.7117720856	0.5972476945	0.4983881798
55	45	1.05438113534106	0.6681479076	0.6681479076	0.4678422016

60	-45	1.05073084795771	0.6878648065	-0.6878648065	0.3971389312
60	-40	1.05110527477697	0.7363864194	-0.6179015729	0.4251528975
60	-35	1.05108194369537	0.7783392549	-0.5449990136	0.4493743783
60	-30	1.05094788047832	0.8140607278	-0.4699981803	0.4699981803
60	-25	1.05095648482225	0.8439372873	-0.3935344201	0.4872474200
60	-20	1.05129263324333	0.8683306423	-0.3160465073	0.5013309301
60	-15	1.05177300747382	0.8872862510	-0.2377476344	0.5122749559
60	-10	1.05215309371320	0.9007498034	-0.1588264932	0.5200481414
60	-5	1.05246842311933	0.9088593800	-0.07951489249	0.5247302077
60	-2.38542e-15	1.05272985063104	0.9116907940	-3.795675416e-17	0.5263649253
60	5	1.05297793257972	0.9092993670	0.07955338637	0.5249842343
60	10	1.05317917736336	0.9016282351	0.1589813844	0.5205553042
60	15	1.05333064519803	0.8886002898	0.2380997300	0.5130336165
60	20	1.05339744725285	0.8700691445	0.3166792704	0.5023346548
60	25	1.05337957563373	0.8458830736	0.3944417551	0.4883708202
60	30	1.05340823468928	0.8159665099	0.4710984842	0.4710984842
60	35	1.05344704070735	0.7800906386	0.5462253457	0.4503855402
60	40	1.05351002200084	0.7380711443	0.6193152249	0.4261255738
60	45	1.05364847232987	0.6897748400	0.6897748400	0.3982416896

65	-45	1.04936252098751	0.7046919864	-0.7046919864	0.3286032699
65	-40	1.04959274035476	0.7571764849	-0.6353465092	0.3530771935
65	-35	1.04946805524890	0.8030806905	-0.5623231533	0.3744826761
65	-30	1.04921622349758	0.8425398256	-0.4864405951	0.3928827730
65	-25	1.04913405137910	0.8758350772	-0.4084086038	0.4084086038
65	-20	1.04950333119561	0.9032963634	-0.3287729890	0.4212140118
65	-15	1.05018863679611	0.9249121748	-0.2478294703	0.4312936302
65	-10	1.05070800331485	0.9403333676	-0.1658061436	0.4384846505
65	-5	1.05112235618170	0.9496597196	-0.08308445967	0.4428335999
65	-2.38542e-15	1.05145769684561	0.9529442984	-3.967427630e-17	0.4443652241
65	5	1.05179681668635	0.9502690758	0.08313777144	0.4431177474
65	10	1.05207903144472	0.9415603722	0.1660224976	0.4390568122
65	15	1.05229900205788	0.9267707956	0.2483274863	0.4321603194
65	20	1.05239902028055	0.9057886522	0.3296801079	0.4223761852
65	25	1.05240586015475	0.8785664392	0.4096822588	0.4096822588
65	30	1.05248278475965	0.8451629341	0.4879550475	0.3941059486
65	35	1.05259838821390	0.8054761041	0.5640004399	0.3755996758
65	40	1.05279115590313	0.7594838227	0.6372825955	0.3541531228
65	45	1.05306207787636	0.7071763977	0.7071763977	0.3297617699

70	-45	1.04826306554041	0.7178411955	-0.7178411955	0.2612728281
70	-40	1.04842802941314	0.7736343852	-0.6491563273	0.2815798884
70	-35	1.04821145540613	0.8228507989	-0.5761663322	0.2994931980
70	-30	1.04783750668344	0.8654768297	-0.4996832806	0.3150078044
70	-25	1.04762605468806	0.9016806115	-0.4204605743	0.3281849034
70	-20	1.04793313816930	0.9317451136	-0.3391274873	0.3391274873
70	-15	1.04873084834376	0.9556567036	-0.2560674420	0.3478305943
70	-10	1.04927812073278	0.9727364561	-0.1715196823	0.3540471158
70	-5	1.04970557066324	0.9830838970	-0.08600869628	0.3578132763
70	-2.38542e-15	1.05008935801211	0.9867612209	-4.108218852e-17	0.3591517127
70	5	1.05053657608205	0.9838621610	0.08607678556	0.3580965412
70	10	1.05097332358675	0.9743079990	0.1717967877	0.3546191107
70	15	1.05135587676978	0.9580487625	0.2567083922	0.3487012325
70	20	1.05155078995570	0.9349616637	0.3402982158	0.3402982158
70	25	1.05161451571830	0.9051134375	0.4220613274	0.3294343499
70	30	1.05174430701902	0.8687037090	0.5015463202	0.3161822925
70	35	1.05192973222466	0.8257696632	0.5782101430	0.3005555778
70	40	1.05223446011911	0.7764431481	0.6515131592	0.2826021945
70	45	1.05259607985081	0.7208084050	0.7208084050	0.2623528040

75	-45	1.04739836206361	0.7276764411	-0.7276764411	0.1949803147
75	-40	1.04754159493506	0.7860747783	-0.6595950566	0.2106281020
75	-35	1.04725589343956	0.8379153627	-0.5867146534	0.2245187448
75	-30	1.04676636880056	0.8830626004	-0.5098364301	0.2366159106
75	-25	1.04641799083150	0.9215913272	-0.4297450936	0.2469396519
75	-20	1.04661853510449	0.9537318567	-0.3471300073	0.2555516808
75	-15	1.04742784844605	0.9794635302	-0.2624464619	0.2624464619
75	-10	1.04797480895907	0.9978956805	-0.1759559324	0.2673853417
75	-5	1.04841096595983	1.009090415	-0.08828397181	0.2703849619
75	-2.38542e-15	1.04883389525851	1.013095747	-4.217858341e-17	0.2714581872
75	5	1.04937890519888	1.010022052	0.08836547947	0.2706345932
75	10	1.04995105490094	0.9997774884	0.1762877459	0.2678895706
75	15	1.05048978272053	0.9823267851	0.2632136688	0.2632136688
75	20	1.05082967171553	0.9575692578	0.3485267071	0.2565799093
75	25	1.05097853319577	0.9256078448	0.4316180265	0.2480158745
75	30	1.05116074083564	0.8867697367	0.5119767462	0.2376092348
75	35	1.05140864934572	0.8412380062	0.5890411934	0.2254090444
75	40	1.05180684245980	0.7892754183	0.6622807124	0.2114857109
75	45	1.05223899583373	0.7310394549	0.7310394549	0.1958814316

80	-45	1.04676982528011	0.7344910062	-0.7344910062	0.1295105815
80	-40	1.04690887228858	0.7947612596	-0.6668838798	0.1401378533
80	-35	1.04657397172521	0.8484979966	-0.5941246934	0.1496130899
80	-30	1.04598680064064	0.8954708308	-0.5170003252	0.1578956679
80	-25	1.04551364145891	0.9356846624	-0.4363169237	0.1649864514
80	-20	1.04560486407438	0.9693311524	-0.3528076866	0.1709192354
80	-15	1.04639806774097	0.9963942863	-0.2669830444	0.1756911961
80	-10	1.04693181253259	1.015824877	-0.1791173336	0.1791173336
80	-5	1.04737191238229	1.027652662	-0.08990795799	0.1812028911
80	-2.38542e-15	1.04782422071692	1.031905416	-4.296169322e-17	0.1819527664
80	5	1.04844537363902	1.028705913	0.09000010549	0.1813886077
80	10	1.04912233774312	1.017950317	0.1794921059	0.1794921059
80	15	1.04978577698018	0.9996201085	0.2678474008	0.1762599956
80	20	1.05024306365360	0.9736310093	0.3543727066	0.1716774162
80	25	1.05050610648890	0.9401526796	0.4384003943	0.1657742834
80	30	1.05074299481457	0.8995426156	0.5193511713	0.1586136334
80	35	1.05104520050369	0.8521229947	0.5966629444	0.1502522749
80	40	1.05151723533206	0.7982597001	0.6698194200	0.1407547227
80	45	1.05200126959603	0.7381617738	0.7381617738	0.1301578369

85	-45	1.04638861376121	0.7384966715	-0.7384966715	0.06461008681
85	-40	1.04652788470277	0.7998924418	-0.6711894529	0.06998152070
85	-35	1.04616236017107	0.8547737500	-0.5985190232	0.07478301300
85	-30	1.04550891651621	0.9028494963	-0.5212603997	0.07898909580
85	-25	1.04494831632382	0.9440816469	-0.4402325019	0.08259644154
85	-20	1.04496352278502	0.9786428127	-0.3561968538	0.08562015175
85	-15	1.04575618186705	1.006535199	-0.2697002936	0.08806041932
85	-10	1.04628412950128	1.026585359	-0.1810146969	0.08981458109
85	-5	1.04672812613561	1.038807021	-0.09088383789	0.09088383789
85	-2.38542e-15	1.04719898133602	1.043214073	-4.343251063e-17	0.09126940502
85	5	1.04786839630483	1.039938662	0.09098284367	0.09098284367
85	10	1.04861025448030	1.028867690	0.1814171333	0.09001425911
85	15	1.04935163538016	1.009995805	0.2706275603	0.08836318315
85	20	1.04988401199314	0.9832510132	0.3578741016	0.08602331706
85	25	1.05022901086903	0.9488526070	0.4424572371	0.08301384647
85	30	1.05050119338943	0.9071605783	0.5237494041	0.07936626660
85	35	1.05083824320529	0.8585942106	0.6011941385	0.07511726000
85	40	1.05135323679323	0.8035806022	0.6742841869	0.07030419292
85	45	1.05186685337073	0.7423629805	0.7423629805	0.06494834502

90	-45	1.04626144499442	0.7398185626	-0.7398185626	0.000000000
90	-40	1.04640074033476	0.8015894724	-0.6726134307	0.000000000
90	-35	1.04602454222835	0.8568531421	-0.5999750293	0.000000000
90	-30	1.04534737169970	0.9052973797	-0.5226736858	0.000000000
90	-25	1.04475512823848	0.9468697083	-0.4415325962	0.000000000
90	-20	1.04474322220490	0.9817374965	-0.3573232266	0.000000000
90	-15	1.04553834022110	1.009912485	-0.2706052348	0.000000000
90	-10	1.04606539611502	1.030173312	-0.1816473498	0.000000000
90	-5	1.04651116009560	1.042528869	-0.09120945745	0.000000000
90	-2.38542e-15	1.04698822769142	1.046988228	-4.358964138e-17	0.000000000
90	5	1.04767436012260	1.043687643	0.09131083701	0.000000000
90	10	1.04843820362794	1.032510071	0.1820593835	0.000000000
90	15	1.04920595714470	1.013455131	0.2715544839	0.000000000
90	20	1.04976320149311	0.9864547340	0.3590401606	0.000000000
90	25	1.05013437666535	0.9517449630	0.4438059649	0.000000000
90	30	1.05042142921753	0.9096916424	0.5252107146	0.000000000
90	35	1.05077197258735	0.8607420094	0.6026980435	0.000000000
90	40	1.05130035867472	0.8053427978	0.6757628446	0.000000000
90	45	1.05182351417981	0.7437515395	0.7437515395	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	1.05604956759979	0.6097105021	0.6097105021	0.6097105021
40	45	1.05672842217534	0.5392206219	0.6426181133	0.6426181133
35	45	1.05737799980507	0.4691719481	0.6700469825	0.6700469825
30	45	1.05791155987128	0.3998529852	0.6925656860	0.6925656860
25	45	1.05836225832047	0.3314214982	0.7107356964	0.7107356964
20	45	1.05879362355116	0.2638975020	0.7250524277	0.7250524277
15	45	1.05919243309005	0.1971758611	0.7358703317	0.7358703317
10	45	1.05957011880334	0.1310942854	0.7434726374	0.7434726374
5	45	1.05995240147277	0.06544759354	0.7480694172	0.7480694172
0	45	1.06034366276611	0.000000000	0.7497761943	0.7497761943
-5	45	1.06075058581550	-0.06549687805	0.7486327418	0.7486327418
-10	45	1.06118569714577	-0.1312941712	0.7446062464	0.7446062464
-15	45	1.06167091849798	-0.1976372480	0.7375922510	0.7375922510
-20	45	1.06225073743250	-0.2647591654	0.7274198284	0.7274198284
-25	45	1.06296426023071	-0.3328625949	0.7138261383	0.7138261383
-30	45	1.06376263036650	-0.4020644820	0.6963961107	0.6963961107
-35	45	1.06437993038872	-0.4722787930	0.6744840168	0.6744840168
-40	45	1.06497970222289	-0.5434310323	0.6476358851	0.6476358851
-45	45	1.06544430491995	-0.6151345563	0.6151345563	0.6151345563

45	50	1.05518931181878	0.6416821489	0.6416821489	0.5384352545
40	50	1.05585144835783	0.5709159862	0.6803911776	0.5709159862
35	50	1.05649268579093	0.4993872826	0.7131989523	0.5984449778
30	50	1.05707602755520	0.4275679580	0.7405694269	0.6214115330
25	50	1.05757454689973	0.3557622291	0.7629345623	0.6401781098
20	50	1.05806862490411	0.2841690960	0.7807481746	0.6551255053
15	50	1.05852990153822	0.2128375095	0.7943203990	0.6665139539
10	50	1.05895321139684	0.1417500928	0.8039047241	0.6745561575
5	50	1.05937483465708	0.07084059871	0.8097117484	0.6794288295
0	50	1.05979438665121	0.000000000	0.8118496007	0.6812227006
-5	50	1.06022507662290	-0.07089745456	0.8103616137	0.6799741312
-10	50	1.06068752618100	-0.1419822459	0.8052213298	0.6756609209
-15	50	1.06120761000697	-0.2133759135	0.7963297504	0.6681999998
-20	50	1.06184275174958	-0.2851827261	0.7835331004	0.6574623356
-25	50	1.06262059721981	-0.3574596925	0.7665747843	0.6432326188
-30	50	1.06327017132468	-0.4300733761	0.7449089383	0.6250528154
-35	50	1.06391831558023	-0.5028972597	0.7182117190	0.6026511885
-40	50	1.06456456811915	-0.5756273112	0.6860059161	0.5756273112
-45	50	1.06499454966401	-0.6476449141	0.6476449141	0.5434386086

45	55	1.05438088980980	0.6681477521	0.6681477521	0.4678420926
40	55	1.05503398995437	0.5976187069	0.7122142410	0.4986977803
35	55	1.05562114026696	0.5252167107	0.7500871985	0.5252167107
30	55	1.05618699088541	0.4515569650	0.7821196058	0.5476460438
25	55	1.05668580998202	0.3770581943	0.8086039072	0.5661905513
20	55	1.05719379283214	0.3020596162	0.8299019749	0.5811036188
15	55	1.05769001907578	0.2267556926	0.8462637657	0.5925602680
10	55	1.05813458205907	0.1512657381	0.8578706306	0.6006874823
5	55	1.05857327610191	0.07567018475	0.8649141694	0.6056194213
0	55	1.05899639995119	0.000000000	0.8674790659	0.6074153812
-5	55	1.05942454823121	-0.07573103639	0.8656097069	0.6061064419
-10	55	1.05988369723447	-0.1515157831	0.8592887059	0.6016804294
-15	55	1.06038948575868	-0.2273344250	0.8484236242	0.5940726173
-20	55	1.06097376676308	-0.3031396240	0.8328692718	0.5831813425
-25	55	1.06158022605955	-0.3788046735	0.8123492437	0.5688130641
-30	55	1.06221224751008	-0.4541329734	0.7865813833	0.5507702140
-35	55	1.06303698428113	-0.5289064106	0.7553566360	0.5289064106
-40	55	1.06387304886775	-0.6026255474	0.7181811612	0.5028758628
-45	55	1.06441808433558	-0.6745081945	0.6745081945	0.4722957224

45	60	1.05364865278709	0.6897749582	0.6897749582	0.3982417578
40	60	1.05425599727294	0.6197537531	0.7385937618	0.4264273072
35	60	1.05475565014997	0.5469038759	0.7810596802	0.4509450166
30	60	1.05529667024599	0.4719430182	0.8174292858	0.4719430182
25	60	1.05581655939958	0.3953542924	0.8478400161	0.4895006615
20	60	1.05635737960050	0.3175691047	0.8725139442	0.5037461606
15	60	1.05690749672162	0.2389082581	0.8916177576	0.5147757524
10	60	1.05738494009468	0.1596162602	0.9052287947	0.5226340883
5	60	1.05782759938595	0.07991978286	0.9134872981	0.5274021374
0	60	1.05823388039088	0.000000000	0.9164574236	0.5291169402
-5	60	1.05863491980805	-0.07998077661	0.9141844598	0.5278046440
-10	60	1.05905832867423	-0.1598688646	0.9066613851	0.5234611948
-15	60	1.05949737345431	-0.2394936858	0.8938026035	0.5160371738
-20	60	1.05997646314380	-0.3186570974	0.8755031796	0.5054719964
-25	60	1.06042117160878	-0.3970785059	0.8515376040	0.4916354649
-30	60	1.06107489024388	-0.4745271168	0.8219050758	0.4745271168
-35	60	1.06208021568615	-0.5507017539	0.7864836121	0.4540765252
-40	60	1.06318857066845	-0.6250048457	0.7448517703	0.4300403701
-45	60	1.06395265016719	-0.6965205079	0.6965205079	0.4021363027

45	65	1.05306244415589	0.7071766437	0.7071766437	0.3297618846
40	65	1.05360231321972	0.6377736107	0.7600689918	0.3544259916
35	65	1.05400781153524	0.5647556333	0.8065546320	0.3761026016
30	65	1.05448103768786	0.4888814832	0.8467675677	0.3948542015
25	65	1.05499827773125	0.4106914393	0.8807306338	0.4106914393
20	65	1.05557160448261	0.3306739685	0.9085192617	0.4236494893
15	65	1.05618905082645	0.2492454820	0.9301968025	0.4337578926
10	65	1.05671499831406	0.1667540727	0.9457093406	0.4409915079
5	65	1.05717003913398	0.08356249010	0.9551236324	0.4453814643
0	65	1.05755261588224	0.000000000	0.9584681710	0.4469410482
-5	65	1.05790339713487	-0.08362045733	0.9557862009	0.4456904250
-10	65	1.05825560226793	-0.1669971864	0.9470881074	0.4416344374
-15	65	1.05859426598996	-0.2498130783	0.9323151008	0.4347456713
-20	65	1.05896135326641	-0.3317358592	0.9114367825	0.4250099516
-25	65	1.05929653356612	-0.4123646713	0.8843188914	0.4123646713
-30	65	1.06005530989891	-0.4914658430	0.8512438103	0.3969415077
-35	65	1.06127873550874	-0.5686515203	0.8121185352	0.3786970923
-40	65	1.06269518787310	-0.6432777705	0.7666285941	0.3574847844
-45	65	1.06371787291700	-0.7143322216	0.7143322216	0.3330985854

45	70	1.05259620817908	0.7208084929	0.7208084929	0.2623528360
40	70	1.05308897833219	0.6520422521	0.7770736965	0.2828316954
35	70	1.05344188708046	0.5790413233	0.8269567117	0.3009876281
30	70	1.05385578410006	0.5025532223	0.8704477146	0.3168170586
25	70	1.05436220773214	0.4231641027	0.9074783468	0.3302951065
20	70	1.05496282487796	0.3414024034	0.9379953943	0.3414024034
15	70	1.05565387417763	0.2577578295	0.9619653156	0.3501267413
10	70	1.05623189148010	0.1726563767	0.9791829703	0.3563934551
5	70	1.05669205722742	0.08658114118	0.9896269722	0.3601947609
0	70	1.05704050704808	0.000000000	0.9932931643	0.3615291457
-5	70	1.05733036337122	-0.08663344145	0.9902247669	0.3604123404
-10	70	1.05759922211236	-0.1728798867	0.9804505583	0.3568548194
-15	70	1.05782289259589	-0.2582874363	0.9639418351	0.3508461356
-20	70	1.05805922701920	-0.3424044474	0.9407484875	0.3424044474
-25	70	1.05837369600492	-0.4247740977	0.9109309921	0.3315517666
-30	70	1.05930357477818	-0.5051511155	0.8749473976	0.3184548093
-35	70	1.06073454636192	-0.5830498511	0.8326814827	0.3030712743
-40	70	1.06235419736804	-0.6577790079	0.7839104958	0.2853200868
-45	70	1.06358582958729	-0.7283340876	0.7283340876	0.2650919285

45	75	1.05223906105810	0.7310395002	0.7310395002	0.1958814437
40	75	1.05269248910336	0.6628383687	0.7899400072	0.2116637870
35	75	1.05301172206336	0.5899392989	0.8425206338	0.2257527234
30	75	1.05338246394212	0.5130588553	0.8886440046	0.2381114434
25	75	1.05389061525726	0.4328139663	0.9281725461	0.2487030842
20	75	1.05453058697536	0.3497541827	0.9609417194	0.2574835577
15	75	1.05529517056303	0.2644177202	0.9868203664	0.2644177202
10	75	1.05588512174565	0.1772840812	1.005427986	0.2694036170
5	75	1.05627703358075	0.08894635299	1.016661467	0.2724136190
0	75	1.05655437329778	0.000000000	1.020553156	0.2734563940
-5	75	1.05680640291666	-0.08899092981	1.017170982	0.2725501433
-10	75	1.05704757670833	-0.1774792584	1.006534892	0.2697002114
-15	75	1.05715933925814	-0.2648848116	0.9885635750	0.2648848116
-20	75	1.05715776651358	-0.3506255344	0.9633357385	0.2581250332
-25	75	1.05760990137495	-0.4343414104	0.9314481605	0.2495807824
-30	75	1.05873605901628	-0.5156663691	0.8931603511	0.2393215948
-35	75	1.06033478228104	-0.5940419702	0.8483798557	0.2273226972
-40	75	1.06206329415918	-0.6687387899	0.7969718554	0.2135479650
-45	75	1.06347775934233	-0.7388475475	0.7388475475	0.1979736037

45	80	1.05200126102123	0.7381617678	0.7381617678	0.1301578358
40	80	1.05242503095644	0.6703976883	0.7989488535	0.1408762391
35	80	1.05271907399673	0.5976131778	0.8534800687	0.1504915636
30	80	1.05305728114265	0.5204950545	0.9015238795	0.1589629837
25	80	1.05357041644379	0.4396792015	0.9428950903	0.1662578444
20	80	1.05424293487969	0.3557223419	0.9773391021	0.1723312530
15	80	1.05502012061054	0.2691829165	1.004604321	0.1771388467
10	80	1.05553408658999	0.1805890783	1.024171557	0.1805890783
5	80	1.05585173518539	0.09063587855	1.035972832	0.1826699616
0	80	1.05606781922173	0.000000000	1.040023776	0.1833842523
-5	80	1.05628660260148	-0.09067320821	1.036399512	0.1827451968
-10	80	1.05651765820554	-0.1807573555	1.025125904	0.1807573555
-15	80	1.05661987670292	-0.2695910859	1.006127630	0.1774074472
-20	80	1.05652591021060	-0.3564926628	0.9794555413	0.1727044383
-25	80	1.05705479427712	-0.4411333126	0.9460134417	0.1668076939
-30	80	1.05833085565900	-0.5231016264	0.9060385944	0.1597590498
-35	80	1.06005729055428	-0.6017789757	0.8594294447	0.1515405991
-40	80	1.06187059513801	-0.6764145391	0.8061194571	0.1421406100
-45	80	1.06339407460861	-0.7461558071	0.7461558071	0.1315674006

45	85	1.05186684844151	0.7423629770	0.7423629770	0.06494834471
40	85	1.05227653655237	0.6748763442	0.8042863077	0.07036593415
35	85	1.05255629063557	0.6021770491	0.8599979524	0.07524007149
30	85	1.05287628962025	0.5249335581	0.9092115932	0.07954570716
25	85	1.05339534062904	0.4437911991	0.9517132976	0.08326412447
20	85	1.05408407037484	0.3593057761	0.9871845064	0.08636745312
15	85	1.05482743587746	0.2720397681	1.015266236	0.08882428612
10	85	1.05529399371812	0.1825734683	1.035425592	0.09058800120
5	85	1.05556215801657	0.09165086679	1.047574201	0.09165086679
0	85	1.05573716470980	0.000000000	1.051719766	0.09201355674
-5	85	1.05593280108936	-0.09168304847	1.047942039	0.09168304847
-10	85	1.05615733343139	-0.1827228323	1.036272677	0.09066211156
-15	85	1.05625181918822	-0.2724071162	1.016637198	0.08894422975
-20	85	1.05612986049308	-0.3600031248	0.9891004564	0.08653507702
-25	85	1.05671147221077	-0.4451882719	0.9547093300	0.08352624334
-30	85	1.05808604172381	-0.5275309893	0.9137104760	0.07993930840
-35	85	1.05989796803726	-0.6063772897	0.8659965176	0.07576487794
-40	85	1.06177358961464	-0.6809672682	0.8115451883	0.07100100392
-45	85	1.06334239194396	-0.7504619286	0.7504619286	0.06565691116

45	90	1.05182351149219	0.7437515376	0.7437515376	0.000000000
40	90	1.05222923995381	0.6763599180	0.8060543622	0.000000000
35	90	1.05250422296271	0.6036916215	0.8621609859	0.000000000
30	90	1.05281806732301	0.5264090337	0.9117671919	0.000000000
25	90	1.05333929917118	0.4451604236	0.9546496092	0.000000000
20	90	1.05403305108365	0.3605005352	0.9904670802	0.000000000
15	90	1.05475979187035	0.2729919221	1.018819723	0.000000000
10	90	1.05520929061836	0.1832351704	1.039178290	0.000000000
5	90	1.05546021722377	0.09198941917	1.051443872	0.000000000
0	90	1.05562061306825	0.000000000	1.055620613	0.000000000
-5	90	1.05580783731475	-0.09201971626	1.051790170	0.000000000
-10	90	1.05603001742430	-0.1833776881	1.039986549	0.000000000
-15	90	1.05612188083931	-0.2733444567	1.020135400	0.000000000
-20	90	1.05599275444777	-0.3611707932	0.9923085990	0.000000000
-25	90	1.05659435810528	-0.4465360710	0.9575996945	0.000000000
-30	90	1.05800398408238	-0.5290019920	0.9162583275	0.000000000
-35	90	1.05984637248325	-0.6079029054	0.8681753227	0.000000000
-40	90	1.06174391825121	-0.6824758353	0.8133430286	0.000000000
-45	90	1.06332531321792	-0.7518845396	0.7518845396	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	1.06332534507248	-0.7518845621	0.7518845621	9.207626121e-17
-90	40	1.06315201604762	-0.8144216941	0.6833809431	9.973459813e-17
-90	35	1.06121346725351	-0.8692951811	0.6086870388	1.064544402e-16
-90	30	1.05873712529795	-0.9168932464	0.5293685626	1.122833295e-16
-90	25	1.05610661692825	-0.9571576509	0.4463299427	1.172141341e-16
-90	20	1.05368260668605	-0.9901377702	0.3603806762	1.212529004e-16
-90	15	1.05153318532407	-1.015703061	0.2721568149	1.243836422e-16
-90	10	1.04958426373965	-1.033638720	0.1822583947	1.265800545e-16
-90	5	1.04802314865300	-1.044035104	0.09134123594	1.278532022e-16
-90	0	1.04720948100317	-1.047209481	1.282419384e-16	1.282419384e-16
-90	-5	1.04747366253682	-1.043487709	-0.09129334507	1.277861679e-16
-90	-10	1.04846885736104	-1.032540260	-0.1820647064	1.264455362e-16
-90	-15	1.04982386228971	-1.014051982	-0.2717144096	1.241814500e-16
-90	-20	1.05134326841936	-0.9879395112	-0.3595805753	1.209837003e-16
-90	-25	1.05309251587134	-0.9544259476	-0.4450561285	1.168796080e-16
-90	-30	1.05499478484727	-0.9136522845	-0.5274973924	1.118864393e-16
-90	-35	1.05666762491119	-0.8655714451	-0.6060796507	1.059984291e-16
-90	-40	1.05769030387323	-0.8102377798	-0.6798702222	9.922223333e-17
-90	-45	1.05666771787823	-0.7471769088	-0.7471769088	9.149975899e-17

-85	45	1.06334245997305	-0.7504619766	0.7504619766	0.06565691536
-85	40	1.06318090569248	-0.8126208419	0.6818698487	0.07109511141
-85	35	1.06127400063578	-0.8671208140	0.6071645305	0.07586324113
-85	30	1.05884980386521	-0.9143700230	0.5279117789	0.07999701128
-85	25	1.05628865756037	-0.9543273287	0.4450101418	0.08349282256
-85	20	1.05394690971365	-0.9870560509	0.3592590221	0.08635621472
-85	15	1.05188333265052	-1.012432551	0.2712804845	0.08857637082
-85	10	1.05001878885085	-1.030249705	0.1816608199	0.09013516979
-85	5	1.04852439306314	-1.040589694	0.09103980163	0.09103980163
-85	0	1.04773865988880	-1.043751698	1.278184961e-16	0.09131644111
-85	-5	1.04797741000732	-1.040046851	-0.09099230896	0.09099230896
-85	-10	1.04890872925047	-1.029160545	-0.1814687715	0.09003988063
-85	-15	1.05018265146140	-1.010795654	-0.2708418792	0.08843316086
-85	-20	1.05161988985870	-0.9848767201	-0.3584658105	0.08616554798
-85	-25	1.05329091592892	-0.9516189528	-0.4437472053	0.08325587037
-85	-30	1.05512810684097	-0.9111561506	-0.5260562488	0.07971583388
-85	-35	1.05675216192739	-0.8634262163	-0.6045775453	0.07554000572
-85	-40	1.05774423523841	-0.8084654327	-0.6783830464	0.07073156022
-85	-45	1.05671663946324	-0.7457857537	-0.7457857537	0.06524779887

-80	45	1.06339432702043	-0.7461559842	0.7461559842	0.1315674318
-80	40	1.06326560286642	-0.8071784777	0.6773031629	0.1423273439
-80	35	1.06146004125700	-0.8605667090	0.6025752967	0.1517411295
-80	30	1.05919040450621	-0.9067744554	0.5235264759	0.1598888019
-80	25	1.05682935329257	-0.9458116828	0.4410392309	0.1667721184
-80	20	1.05472198690968	-0.9777832087	0.3558839835	0.1724095610
-80	15	1.05289891463987	-1.002584480	0.2686417018	0.1767826943
-80	10	1.05126684387881	-1.020031104	0.1798590049	0.1798590049
-80	5	1.04995439918577	-1.030186528	0.09012964248	0.1816496800
-80	0	1.04924474723025	-1.033304362	1.265391087e-16	0.1821994383
-80	-5	1.04941510298490	-1.029657385	-0.09008334850	0.1815563779
-80	-10	1.05017303125856	-1.018969792	-0.1796718668	0.1796718668
-80	-15	1.05122419128953	-1.000989786	-0.2682144048	0.1765015067
-80	-20	1.05243163938056	-0.9756599351	-0.3551111751	0.1720351706
-80	-25	1.05388021461636	-0.9431723449	-0.4398084874	0.1663067319
-80	-30	1.05553111607898	-0.9036417332	-0.5217177979	0.1593364185
-80	-35	1.05701356474607	-0.8569617785	-0.6000510972	0.1511054830
-80	-40	1.05790554360174	-0.8031093867	-0.6738887902	0.1416098533
-80	-45	1.05686577456973	-0.7415750697	-0.7415750697	0.1307596930

-75	45	1.06347780962451	-0.7388475824	0.7388475824	0.1979736130
-75	40	1.06339693330726	-0.7979726177	0.6695785292	0.2138161185
-75	35	1.06178963826295	-0.8495438942	0.5948570387	0.2276346004
-75	30	1.05976676229913	-0.8940298627	0.5161683819	0.2395545797
-75	25	1.05771551744093	-0.9315411777	0.4343847850	0.2496057063
-75	20	1.05596449122204	-0.9622483656	0.3502297631	0.2578336725
-75	15	1.05449588489914	-0.9860729438	0.2642174490	0.2642174490
-75	10	1.05319634354692	-1.002867696	0.1768326328	0.2687175892
-75	5	1.05213963399100	-1.012679240	0.08859795329	0.2713465846
-75	0	1.05153691731592	-1.015706666	1.243840836e-16	0.2721577808
-75	-5	1.05161354409479	-1.012172881	-0.08855365262	0.2712109061
-75	-10	1.05213004627650	-1.001852353	-0.1766536006	0.2684455290
-75	-15	1.05286437991106	-0.9845473021	-0.2638086545	0.2638086545
-75	-20	1.05373415303950	-0.9602159684	-0.3494900310	0.2572890933
-75	-25	1.05484459134672	-0.9290127229	-0.4332057472	0.2489282089
-75	-30	1.05620845528949	-0.8910280392	-0.5144352783	0.2387502435
-75	-35	1.05747931890298	-0.8460951833	-0.5924422254	0.2267105211
-75	-40	1.05816605329644	-0.7940473675	-0.6662848532	0.2127643509
-75	-45	1.05711320722550	-0.7344257966	-0.7344257966	0.1967887991

-70	45	1.06358445828499	-0.7283331486	0.7283331486	0.2650915867
-70	40	1.06357306932133	-0.7848099007	0.6585336982	0.2856474434
-70	35	1.06230655876880	-0.8339155197	0.5839139331	0.3035204270
-70	30	1.06059028557855	-0.8760101753	0.5057647105	0.3188416287
-70	25	1.05894001391955	-0.9114184159	0.4250013871	0.3317291744
-70	20	1.05763538440253	-0.9403716378	0.3422672853	0.3422672853
-70	15	1.05658923077649	-0.9628176600	0.2579862144	0.3504369693
-70	10	1.05566886656721	-0.9786610164	0.1725643422	0.3562034794
-70	5	1.05489655056295	-0.9879454209	0.08643402451	0.3595827263
-70	0	1.05441292746427	-0.9908240472	1.213369424e-16	0.3606304606
-70	-5	1.05438951221292	-0.9874705628	-0.08639247981	0.3594098921
-70	-10	1.05464175836133	-0.9777088326	-0.1723964465	0.3558569128
-70	-15	1.05501832709867	-0.9613861729	-0.2576026486	0.3499159506
-70	-20	1.05548764972440	-0.9384620300	-0.3415722449	0.3415722449
-70	-25	1.05617324395345	-0.9090370864	-0.4238909549	0.3308624413
-70	-30	1.05715573797909	-0.8731733601	-0.5041268745	0.3178091124
-70	-35	1.05813437815317	-0.8306403387	-0.5816206267	0.3023283587
-70	-40	1.05851041446734	-0.7810741708	-0.6553990487	0.2842877489
-70	-45	1.05743598900863	-0.7241227316	-0.7241227316	0.2635591203

-65	45	1.06371716412953	-0.7143317456	0.7143317456	0.3330983634
-65	40	1.06380770543697	-0.7674311645	0.6439512071	0.3578590291
-65	35	1.06293653064374	-0.8133871239	0.5695397956	0.3792886449
-65	30	1.06167450470475	-0.8525440534	0.4922165387	0.3975478210
-65	25	1.06052678005380	-0.8853459223	0.4128435837	0.4128435837
-65	20	1.05972869411749	-0.9120972246	0.3319762405	0.4253179208
-65	15	1.05912611558169	-0.9327835063	0.2499385872	0.4349640924
-65	10	1.05858214660722	-0.9473803489	0.1670487165	0.4417707119
-65	5	1.05808456043513	-0.9559498769	0.08363477713	0.4457667484
-65	0	1.05771700584974	-0.9586171589	1.173928664e-16	0.4470105224
-65	-5	1.05760262174437	-0.9555144587	-0.08359668297	0.4455637096
-65	-10	1.05760627513309	-0.9465069907	-0.1668947199	0.4413634582
-65	-15	1.05763382024743	-0.9314692261	-0.2495864269	0.4343512335
-65	-20	1.05768741336252	-0.9103403159	-0.3313367781	0.4244986609
-65	-25	1.05789340099467	-0.8831475323	-0.4118184576	0.4118184576
-65	-30	1.05839803369873	-0.8499129872	-0.4906974920	0.3963209347
-65	-35	1.05894066473990	-0.8103293817	-0.5673987415	0.3778627963
-65	-40	1.05896051981794	-0.7639344035	-0.6410170762	0.3562284627
-65	-45	1.05783679994560	-0.7103828286	-0.7103828286	0.3312569532

-60	45	1.06395238700145	-0.6965203356	0.6965203356	0.4021362033
-60	40	1.06422524799587	-0.7455780487	0.6256142657	0.4304596871
-60	35	1.06380521606112	-0.7877609963	0.5515961880	0.4548140233
-60	30	1.06310693846508	-0.8234790936	0.4754358764	0.4754358764
-60	25	1.06248060272608	-0.8531913648	0.3978496673	0.4925902642
-60	20	1.06215174159164	-0.8772998829	0.3193110439	0.5065093236
-60	15	1.06191934981971	-0.8958458071	0.2400411606	0.5172168179
-60	10	1.06167991684454	-0.9089057306	0.1602646032	0.5247569682
-60	5	1.06140606153835	-0.9165774800	0.08019013874	0.5291862548
-60	0	1.06113787434812	-0.9189723561	1.125379386e-16	0.5305689372
-60	-5	1.06095558394788	-0.9161884700	-0.08015610477	0.5289616598
-60	-10	1.06076813156094	-0.9081251499	-0.1601269658	0.5243062997
-60	-15	1.06052555076388	-0.8946699842	-0.2397260998	0.5165379562
-60	-20	1.06024472358908	-0.8757247533	-0.3187377436	0.5055999220
-60	-25	1.06001640698381	-0.8512125706	-0.3969269404	0.4914478068
-60	-30	1.06003135745269	-0.8210967588	-0.4740604347	0.4740604347
-60	-35	1.06004084237134	-0.7849734308	-0.5496443135	0.4532046216
-60	-40	1.05965611669612	-0.7423769933	-0.6229282613	0.4286115569
-60	-45	1.05841146594324	-0.6928929513	-0.6928929513	0.4000419320

-55	45	1.06441816863252	-0.6745082479	0.6745082479	0.4722957598
-55	40	1.06486372771041	-0.7188499316	0.6031867125	0.5033441410
-55	35	1.06482603670865	-0.7566278737	0.5297965408	0.5297965408
-55	30	1.06463274159623	-0.7883737893	0.4551678195	0.5520252702
-55	25	1.06453817224828	-0.8146127423	0.3798601602	0.5703979829
-55	20	1.06459210581651	-0.8357096846	0.3041734497	0.5851702209
-55	15	1.06460607061698	-0.8517973376	0.2282384087	0.5964349168
-55	10	1.06458625472356	-0.8631012511	0.1521880377	0.6043500023
-55	5	1.06447607281294	-0.8697370878	0.07609213543	0.6089964652
-55	0	1.06428578670050	-0.8718118779	1.067626365e-16	0.6104492488
-55	-5	1.06406217222666	-0.8693989077	-0.07606254850	0.6087596689
-55	-10	1.06374862881948	-0.8624221554	-0.1520682948	0.6038744943
-55	-15	1.06332627985439	-0.8507733698	-0.2279640374	0.5957179268
-55	-20	1.06284392051914	-0.8343373511	-0.3036739611	0.5842093026
-55	-25	1.06227315616600	-0.8128794922	-0.3790519324	0.5691843481
-55	-30	1.06179695452007	-0.7862738537	-0.4539554211	0.5505548795
-55	-35	1.06135097004789	-0.7541586137	-0.5280675463	0.5280675463
-55	-40	1.06064631325709	-0.7160029119	-0.6007977793	0.5013506363
-55	-45	1.05930495318246	-0.6712680684	-0.6712680684	0.4700269616

-50	45	1.06499439474048	-0.6476448199	0.6476448199	0.5434385295
-50	40	1.06551246361345	-0.6866167404	0.5761398536	0.5761398536
-50	35	1.06571312772337	-0.7194233300	0.5037456388	0.6036678509
-50	30	1.06586451282127	-0.7467264897	0.4311227398	0.6265779221
-50	25	1.06616005594500	-0.7691281508	0.3586503468	0.6453751477
-50	20	1.06653567483800	-0.7869960054	0.2864431205	0.6603680579
-50	15	1.06682328682597	-0.8005437519	0.2145050518	0.6717359670
-50	10	1.06696582821916	-0.8099875052	0.1428226512	0.6796602168
-50	5	1.06695628523622	-0.8155064770	0.07134757177	0.6842911841
-50	0	1.06681849309660	-0.8172303785	1.000785514e-16	0.6857377091
-50	-5	1.06658199077149	-0.8152203926	-0.07132254263	0.6840511307
-50	-10	1.06620769138592	-0.8094119653	-0.1427211680	0.6791772816
-50	-15	1.06566273336639	-0.7996728731	-0.2142717006	0.6710052129
-50	-20	1.06494536193346	-0.7858225145	-0.2860160047	0.6593833821
-50	-25	1.06410189724090	-0.7676433946	-0.3579579936	0.6441292893
-50	-30	1.06329122865547	-0.7449236907	-0.4300818934	0.6250651941
-50	-35	1.06256717895451	-0.7172996169	-0.5022585989	0.6018858440
-50	-40	1.06170617978803	-0.6841639693	-0.5740817343	0.5740817343
-50	-45	1.06039100455277	-0.6448454044	-0.6448454044	0.5410895410

-45	45	1.06544424096645	-0.6151345193	0.6151345193	0.6151345193
-45	40	1.06586058635915	-0.6481715687	0.5438805242	0.6481715687
-45	35	1.06607671682199	-0.6755592488	0.4730316785	0.6755592488
-45	30	1.06630590969475	-0.6980610779	0.4030257512	0.6980610779
-45	25	1.06666962352286	-0.7163144488	0.3340229131	0.7163144488
-45	20	1.06702776404813	-0.7306910936	0.2659498085	0.7306910936
-45	15	1.06728653140884	-0.7414936789	0.1986826325	0.7414936789
-45	10	1.06742073954976	-0.7489812126	0.1320655958	0.7489812126
-45	5	1.06742635265507	-0.7533442147	0.06590907852	0.7533442147
-45	0	1.06731008115660	-0.7547021960	9.242131045e-17	0.7547021960
-45	-5	1.06708235259882	-0.7531014341	-0.06588783797	0.7531014341
-45	-10	1.06672612005771	-0.7484938163	-0.1319796547	0.7484938163
-45	-15	1.06622795816187	-0.7407582387	-0.1984855719	0.7407582387
-45	-20	1.06558355490633	-0.7297021121	-0.2655898487	0.7297021121
-45	-25	1.06481022355894	-0.7150657819	-0.3334406502	0.7150657819
-45	-30	1.06399495308296	-0.6965482017	-0.4021522917	0.6965482017
-45	-35	1.06327135683587	-0.6737815279	-0.4717869049	0.6737815279
-45	-40	1.06249425264630	-0.6461244325	-0.5421627730	0.6461244325
-45	-45	1.06140521170186	-0.6128025847	-0.6128025847	0.6128025847


### -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	1.05666767504770	-0.7471768785	-0.7471768785	9.149975528e-17
-40	-90	1.05354919552847	-0.6772083691	-0.8070655068	9.883375476e-17
-35	-90	1.04992272445459	-0.6022109347	-0.8600463461	1.053218220e-16
-30	-90	1.04612091486807	-0.5230604574	-0.9059672877	1.109453297e-16
-25	-90	1.04243517398565	-0.4405521412	-0.9447671157	1.156967813e-16
-20	-90	1.03906837649835	-0.3553823151	-0.9764048859	1.195711627e-16
-15	-90	1.03588049389705	-0.2681056003	-1.000583722	1.225321183e-16
-10	-90	1.03306239861972	-0.1793894029	-1.017367860	1.245875145e-16
-5	-90	1.03105782441371	-0.08986261050	-1.027134338	1.257835237e-16
-1.42109e-14	-90	1.03032969703300	1.261748294e-16	-1.030329697	1.261748294e-16
5	-90	1.03086326874450	0.08984565386	-1.026940523	1.257597889e-16
10	-90	1.03226689934522	0.1792512659	-1.016584446	1.244915771e-16
15	-90	1.03418587654746	0.2676670010	-0.9989468473	1.223316656e-16
20	-90	1.03646140079413	0.3544906769	-0.9739551301	1.192711641e-16
25	-90	1.03912687184796	0.4391539923	-0.9417687757	1.153296027e-16
30	-90	1.04175494092415	0.5208774705	-0.9021862434	1.104823006e-16
35	-90	1.04394080461623	0.5987798465	-0.8551462442	1.047217524e-16
40	-90	1.04544145243958	0.6719968123	-0.8008546152	9.807316503e-17
45	-90	1.04626142963356	0.7398185518	-0.7398185518	9.059864992e-17

-45	-85	1.05671654718457	-0.7457856886	-0.7457856886	0.06524779317
-40	-85	1.05363758902630	-0.6757492536	-0.8053266007	0.07045694799
-35	-85	1.05006356798588	-0.6007509398	-0.8579612572	0.07506188375
-30	-85	1.04633202085418	-0.5216707757	-0.9035602883	0.07905128203
-25	-85	1.04273779032285	-0.4393012162	-0.9420844983	0.08242171368
-20	-85	1.03947534515874	-0.3543260980	-0.9735029533	0.08517047232
-15	-85	1.03640208084406	-0.2672878730	-0.9975319222	0.08727273470
-10	-85	1.03369147914272	-0.1788360776	-1.014229795	0.08873360931
-5	-85	1.03175981715623	-0.08958419061	-1.023951984	0.08958419061
-1.42109e-14	-85	1.03104631112316	1.257821191e-16	-1.027122869	0.08986160705
5	-85	1.03153607829247	0.08956476413	-1.023729938	0.08956476413
10	-85	1.03285809989822	0.1786918970	-1.013412107	0.08866207080
15	-85	1.03468042903165	0.2668438594	-0.9958748408	0.08712775886
20	-85	1.03685895390315	0.3534342483	-0.9710526166	0.08495609564
25	-85	1.03943619799378	0.4379102687	-0.9391016018	0.08216074405
30	-85	1.04199297882342	0.5195074552	-0.8998133074	0.07872346369
35	-85	1.04413028548497	0.5973564548	-0.8531134302	0.07463775384
40	-85	1.04560271163281	0.6705960942	-0.7991853045	0.06991965420
45	-85	1.04638859426124	0.7384966578	-0.7384966578	0.06461008561

-45	-80	1.05686542200347	-0.7415748224	-0.7415748224	0.1307596494
-40	-80	1.05391601768722	-0.6713474510	-0.8000807367	0.1410758206
-35	-80	1.05048937433239	-0.5963474100	-0.8516723650	0.1501728167
-30	-80	1.04695788603111	-0.5174803040	-0.8963021785	0.1580422569
-25	-80	1.04362506717370	-0.4355287781	-0.9339944788	0.1646884264
-20	-80	1.04065579280775	-0.3511377724	-0.9647431009	0.1701102381
-15	-80	1.03789844711076	-0.2648144102	-0.9883008335	0.1742641020
-10	-80	1.03548033315366	-0.1771581244	-1.004713650	0.1771581244
-5	-80	1.03374597279345	-0.08873828713	-1.014283263	0.1788455054
-1.42109e-14	-80	1.03307255292253	1.245887391e-16	-1.017377860	0.1793911662
5	-80	1.03344514011910	0.08871246321	-1.013988094	0.1787934592
10	-80	1.03454726767744	0.1769984882	-1.003808308	0.1769984882
15	-80	1.03610669943164	0.2643572551	-0.9865947073	0.1739632659
20	-80	1.03801734759481	0.3502475090	-0.9622971223	0.1696789461
25	-80	1.04034528738270	0.4341600505	-0.9310592329	0.1641708634
30	-80	1.04269841534331	0.5153749737	-0.8926556394	0.1573992737
35	-80	1.04469574828777	0.5930584535	-0.8469752483	0.1493445883
40	-80	1.04609011833418	0.6663623313	-0.7941397022	0.1400282560
45	-80	1.04676991621839	0.7344910700	-0.7344910700	0.1295105927

-45	-75	1.05711415530706	-0.7344264553	-0.7344264553	0.1967889756
-40	-75	1.05442773529070	-0.6639309838	-0.7912421352	0.2120126911
-35	-75	1.05119942758638	-0.5889239790	-0.8410706067	0.2253641898
-30	-75	1.04797690570848	-0.5104260323	-0.8840838215	0.2368895460
-25	-75	1.04504533720229	-0.4291813694	-0.9203824167	0.2466157253
-20	-75	1.04250991583281	-0.3457673093	-0.9499878746	0.2545484838
-15	-75	1.04020377521038	-0.2606363779	-0.9727082045	0.2606363779
-10	-75	1.03819381556687	-0.1743136946	-0.9885820873	0.2648897719
-5	-75	1.03673203369342	-0.08730051918	-0.9978495002	0.2673729678
-1.42109e-14	-75	1.03611494418381	1.225598510e-16	-1.000810184	0.2681662805
5	-75	1.03632863098897	0.08726654968	-0.9974612271	0.2672689303
10	-75	1.03712930692630	0.1741349627	-0.9875684479	0.2646181681
15	-75	1.03832303552690	0.2601651344	-0.9709495001	0.2601651344
20	-75	1.03985447605754	0.3448865845	-0.9475681033	0.2539001080
25	-75	1.04180624318288	0.4278511316	-0.9175297126	0.2458513455
30	-75	1.04384724592829	0.5084146465	-0.8805999991	0.2359560586
35	-75	1.04562212111506	0.5857993487	-0.8366081723	0.2241684841
40	-75	1.04688431112360	0.6591811912	-0.7855815528	0.2104959427
45	-75	1.04739860565103	0.7276766103	-0.7276766103	0.1949803601

-45	-70	1.05743655176127	-0.7241231170	-0.7241231170	0.2635592605
-40	-70	1.05507784321668	-0.6532736998	-0.7785412787	0.2833658516
-35	-70	1.05216488223151	-0.5783393970	-0.8259542571	0.3006227644
-30	-70	1.04936616525187	-0.5004122535	-0.8667394477	0.3154673598
-25	-70	1.04694347582125	-0.4201866240	-0.9010931231	0.3279710751
-20	-70	1.04492531644225	-0.3381541093	-0.9290707797	0.3381541093
-15	-70	1.04312940936949	-0.2546997449	-0.9505523885	0.3459727755
-10	-70	1.04156500694993	-0.1702588623	-0.9655859906	0.3514445592
-5	-70	1.04039586099255	-0.08524589573	-0.9743650468	0.3546398743
-1.42109e-14	-70	1.03984009790002	1.196599688e-16	-0.9771300668	0.3556462593
5	-70	1.03988688399181	0.08520419218	-0.9738883730	0.3544663793
10	-70	1.04036596210288	0.1700628611	-0.9644744125	0.3510399779
15	-70	1.04115914204885	0.2542186669	-0.9487569810	0.3453193007
20	-70	1.04225873406495	0.3372911617	-0.9266998506	0.3372911617
25	-70	1.04376090370933	0.4189093113	-0.8983539171	0.3269740857
30	-70	1.04541426677242	0.4985277078	-0.8634753189	0.3142793141
35	-70	1.04689452847890	0.5754424621	-0.8218170052	0.2991169279
40	-70	1.04795969497142	0.6488663482	-0.7732888015	0.2814541063
45	-70	1.04826355491063	0.7178415306	-0.7178415306	0.2612729501

-45	-65	1.05783740469313	-0.7103832347	-0.7103832347	0.3312571426
-40	-65	1.05586085142751	-0.6391407642	-0.7616983019	0.3551857514
-35	-65	1.05341473908152	-0.5644378548	-0.8061007973	0.3758909750
-30	-65	1.05114259656796	-0.4873337057	-0.8440867384	0.3936041103
-25	-65	1.04929675381290	-0.4084719409	-0.8759709040	0.4084719409
-20	-65	1.04782201634250	-0.3282462914	-0.9018492736	0.4205392228
-15	-65	1.04652573037584	-0.2469650769	-0.9216862146	0.4297893403
-10	-65	1.04537736394587	-0.1649649462	-0.9355627005	0.4362600519
-5	-65	1.04447509240370	-0.08255903624	-0.9436541023	0.4400331345
-1.42109e-14	-65	1.04397500699750	1.158676828e-16	-0.9461626783	0.4412029028
5	-65	1.04387179521012	0.08251134948	-0.9431090401	0.4397789679
10	-65	1.04405776724970	0.1647567083	-0.9343817247	0.4357093538
15	-65	1.04447329135295	0.2464807307	-0.9198786099	0.4289464404
20	-65	1.04514340577443	0.3274071756	-0.8995438219	0.4194641730
25	-65	1.04617159996198	0.4072553759	-0.8733619720	0.4072553759
30	-65	1.04739649116460	0.4855969257	-0.8410785473	0.3922013677
35	-65	1.04852457605110	0.5618176208	-0.8023587153	0.3741460135
40	-65	1.04930891160785	0.6351747001	-0.7569717308	0.3529817151
45	-65	1.04936309708707	0.7046923733	-0.7046923733	0.3286034503

-45	-60	1.05841172309573	-0.6928931196	-0.6928931196	0.4000420291
-40	-60	1.05690165324838	-0.6213090255	-0.7404472632	0.4274974267
-35	-60	1.05506159940797	-0.5470625144	-0.7812862394	0.4510758207
-30	-60	1.05336054096713	-0.4710771549	-0.8159295665	0.4710771549
-25	-60	1.05207229751294	-0.3939522401	-0.8448333053	0.4877647362
-20	-60	1.05106397182118	-0.3159777656	-0.8681417761	0.5012218881
-15	-60	1.05016302179071	-0.2373837058	-0.8859280509	0.5114907987
-10	-60	1.04933010782587	-0.1584003528	-0.8983330410	0.5186528230
-5	-60	1.04862700533492	-0.07922467008	-0.9055421227	0.5228149883
-1.42109e-14	-60	1.04816437739363	1.111620471e-16	-0.9077369782	0.5240821887
5	-60	1.04794415084428	0.07917307984	-0.9049524435	0.5224745369
10	-60	1.04790845374453	0.1581857487	-0.8971159609	0.5179501415
15	-60	1.04803565507346	0.2369028260	-0.8841333830	0.5104546467
20	-60	1.04836146003887	0.3151653187	-0.8659095966	0.4999331387
25	-60	1.04897947418596	0.3927941214	-0.8423497116	0.4863308327
30	-60	1.04980169840936	0.4694855921	-0.8131728990	0.4694855921
35	-60	1.05056526471915	0.5447311091	-0.7779566477	0.4491534800
40	-60	1.05097394136986	0.6178243674	-0.7362944094	0.4250997755
45	-60	1.05072977788914	0.6878641060	-0.6878641060	0.3971385268

-45	-55	1.05930483817509	-0.6712679955	-0.6712679955	0.4700269106
-40	-55	1.05824072601387	-0.5994351464	-0.7143789893	0.5002135534
-35	-55	1.05696879331957	-0.5258872258	-0.7510447933	0.5258872258
-30	-55	1.05581737509659	-0.4513989413	-0.7818459007	0.5474543934
-25	-55	1.05498045619418	-0.3764496713	-0.8072989254	0.5652767932
-20	-55	1.05431011018286	-0.3012356953	-0.8276382708	0.5795185562
-15	-55	1.05366004065100	-0.2258917149	-0.8430393571	0.5903025129
-10	-55	1.05301476948527	-0.1505338348	-0.8537198005	0.5977810398
-5	-55	1.05243148186127	-0.07523114976	-0.8598959766	0.6021056449
-1.42109e-14	-55	1.05198557373430	1.055287544e-16	-0.8617361333	0.6033941365
5	-55	1.05168400969838	0.07517771807	-0.8592852496	0.6016780092
10	-55	1.05150618315142	0.1503181747	-0.8524967312	0.5969246375
15	-55	1.05145240363458	0.2254184248	-0.8412730143	0.5890657063
20	-55	1.05154350035416	0.3004452243	-0.8254664694	0.5779978444
25	-55	1.05184852246418	0.3753321005	-0.8049022870	0.5635986489
30	-55	1.05235639438731	0.4499192507	-0.7792830015	0.5456598320
35	-55	1.05279468565849	0.5238104285	-0.7480788194	0.5238104285
40	-55	1.05289344131514	0.5964062039	-0.7107692361	0.4976859771
45	-55	1.05240237077010	0.6668939897	-0.6668939897	0.4669641988

-45	-50	1.06039116670359	-0.6448455030	-0.6448455030	0.5410896237
-40	-50	1.05966470533503	-0.5729778760	-0.6828484422	0.5729778760
-35	-50	1.05885581103200	-0.5005042943	-0.7147942103	0.5997835583
-30	-50	1.05821173265076	-0.4280273300	-0.7413650825	0.6220791673
-25	-50	1.05775348118809	-0.3558224216	-0.7630636455	0.6402864235
-20	-50	1.05727429584250	-0.2839557603	-0.7801620397	0.6546336798
-15	-50	1.05670680450381	-0.2124709412	-0.7929523478	0.6653660226
-10	-50	1.05611437045647	-0.1413700892	-0.8017496170	0.6727478079
-5	-50	1.05558598878565	-0.07058723786	-0.8068158207	0.6769988575
-1.42109e-14	-50	1.05514485438413	9.898344398e-17	-0.8082878524	0.6782340388
5	-50	1.05479641032293	0.07053443860	-0.8062123223	0.6764924623
10	-50	1.05454657574950	0.1411602263	-0.8005594250	0.6717491183
15	-50	1.05442461021710	0.2120120628	-0.7912397901	0.6639290161
20	-50	1.05439672680272	0.2831829218	-0.7780386833	0.6528519722
25	-50	1.05448096547620	0.3547215654	-0.7607028518	0.6383054824
30	-50	1.05471541139437	0.4266131318	-0.7389156195	0.6200238238
35	-50	1.05490086563702	0.4986348546	-0.7121243737	0.5975432993
40	-50	1.05480569085584	0.5703505281	-0.6797172909	0.5703505281
45	-50	1.05419791776836	0.6410792620	-0.6410792620	0.5379293723

-45	-45	1.06140540071658	-0.6128026938	-0.6128026938	0.6128026938
-40	-45	1.06083555151489	-0.5413163816	-0.6451157425	0.6451157425
-35	-45	1.06029103867330	-0.4704645002	-0.6718929382	0.6718929382
-30	-45	1.05993680351213	-0.4006184554	-0.6938915191	0.6938915191
-25	-45	1.05965587241735	-0.3318265878	-0.7116044138	0.7116044138
-20	-45	1.05930376326306	-0.2640246510	-0.7254017668	0.7254017668
-15	-45	1.05886461490204	-0.1971148355	-0.7356425811	0.7356425811
-10	-45	1.05838570556702	-0.1309477450	-0.7426415656	0.7426415656
-5	-45	1.05791533301494	-0.06532181314	-0.7466317407	0.7466317407
-1.42109e-14	-45	1.05748861720848	9.157084292e-17	-0.7477573723	0.7477573723
5	-45	1.05712222680464	0.06527284218	-0.7460720000	0.7460720000
10	-45	1.05682619792803	0.1307547964	-0.7415472999	0.7415472999
15	-45	1.05660986129074	0.1966950978	-0.7340760987	0.7340760987
20	-45	1.05646917924856	0.2633181492	-0.7234606689	0.7234606689
25	-45	1.05641274865448	0.3308110178	-0.7094265170	0.7094265170
30	-45	1.05647800144267	0.3993111511	-0.6916272017	0.6916272017
35	-45	1.05654814450530	0.4688037309	-0.6695211138	0.6695211138
40	-45	1.05641633045887	0.5390613697	-0.6424283240	0.6424283240
45	-45	1.05586219924542	0.6096023250	-0.6096023250	0.6096023250