path: root/test/Kerr-definition-expansion-EE/h.t0.ah1.gp

# N_patches = 5
# origin = 0.5 0.7 0

### +z patch
# N_rho = 19
# N_sigma = 19
# ghosted_gfn=-3
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-45	2.52675531581589	-0.9588228618	-0.7588228618	1.458822862
-40	-45	2.50482927283151	-0.7781482639	-0.8232377854	1.523237785
-35	-45	2.47953798257950	-0.6002022606	-0.8712516655	1.571251666
-30	-45	2.45168304876818	-0.4266490915	-0.9050033073	1.605003307
-25	-45	2.42183498109570	-0.2583869998	-0.9263661694	1.626366169
-20	-45	2.39037812565333	-0.09578637617	-0.9369096153	1.636909615
-15	-45	2.35755361179500	0.06112539233	-0.9379023340	1.637902334
-10	-45	2.32349302496785	0.2125280788	-0.9303342804	1.630334280
-5	-45	2.28824370350573	0.3587105953	-0.9149452856	1.614945286
0	-45	2.25178193655213	0.5000000000	-0.8922502771	1.592250277
5	-45	2.21403251969742	0.6367071769	-0.8625701818	1.562570182
10	-45	2.17488076181525	0.7690850131	-0.8260569426	1.526056943
15	-45	2.13417399839915	0.8972909764	-0.7827101091	1.482710109
20	-45	2.09173661932402	1.021351901	-0.7324025761	1.432402576
25	-45	2.04738087015663	1.141128338	-0.6749041570	1.374904157
30	-45	2.00091415569773	1.256274464	-0.6099057968	1.309905797
35	-45	1.95215808592168	1.366197152	-0.5370577363	1.237057736
40	-45	1.90096804693204	1.470013819	-0.4560174537	1.156017454
45	-45	1.84727536231858	1.566524928	-0.3665249277	1.066524928

-45	-40	2.47937528600941	-1.007758697	-0.5651597663	1.507758697
-40	-40	2.45591833319242	-0.8279548362	-0.6279548362	1.582594947
-35	-40	2.42895006548221	-0.6481260488	-0.6758665703	1.639693928
-30	-40	2.39924960481702	-0.4704526708	-0.7104201931	1.680873332
-25	-40	2.36740171698753	-0.2963808456	-0.7330514675	1.707844235
-20	-40	2.33382717729611	-0.1268039176	-0.7450383207	1.722129610
-15	-40	2.29881408410182	0.03777983631	-0.7474713111	1.725029135
-10	-40	2.26254646411754	0.1971384876	-0.7412484259	1.717612989
-5	-40	2.22512640498450	0.3512053698	-0.7270822558	1.700730405
0	-40	2.18658690853233	0.5000000000	-0.7055109723	1.675022751
5	-40	2.14691484258565	0.6435646080	-0.6769213604	1.640950978
10	-40	2.10606423816146	0.7819150062	-0.6415688103	1.598819449
15	-40	2.06396083911290	0.9149984653	-0.5995936133	1.548795358
20	-40	2.02051572163393	1.042656792	-0.5510449247	1.490937284
25	-40	1.97564079124799	1.164594637	-0.4959081193	1.425227798
30	-40	1.92925740589138	1.280349405	-0.4341311039	1.351604818
35	-40	1.88132028648751	1.389270166	-0.3656644313	1.270009414
40	-40	1.83182372935828	1.490496772	-0.2904967716	1.180428086
45	-40	1.78084274093582	1.582966804	-0.2087170460	1.082966804

-45	-35	2.43070274973080	-1.040305400	-0.3785334522	1.540305400
-40	-35	2.40518115773909	-0.8624027918	-0.4368908643	1.623648422
-35	-35	2.37614909333471	-0.6822359020	-0.4822359020	1.688407847
-30	-35	2.34435529371260	-0.5022940733	-0.5155772727	1.736024259
-25	-35	2.31038926605933	-0.3244183812	-0.5379465682	1.767970924
-20	-35	2.27469880900287	-0.1499230831	-0.5503248871	1.785648995
-15	-35	2.23761280312572	0.02028341785	-0.5536002217	1.790326658
-10	-35	2.19936377410353	0.1855897252	-0.5485465560	1.783109275
-5	-35	2.16010507808620	0.3455888184	-0.5358158070	1.764927881
0	-35	2.11992673741076	0.5000000000	-0.5159400234	1.736542321
5	-35	2.07887683803118	0.6486047286	-0.4893443903	1.698559820
10	-35	2.03697484302488	0.7911959484	-0.4563607416	1.651454288
15	-35	1.99421781889139	0.9275357000	-0.4172406130	1.595584955
20	-35	1.95059645397947	1.057321108	-0.3721768005	1.531227160
25	-35	1.90610529240731	1.180157350	-0.3213242158	1.458602143
30	-35	1.86075249087033	1.295536922	-0.2648232263	1.377910367
35	-35	1.81458435533267	1.402833403	-0.2028334031	1.289379725
40	-35	1.76768413544572	1.501295804	-0.1355561651	1.193297872
45	-35	1.72019855685354	1.590067935	-0.06327378498	1.090067935

-45	-30	2.38143173040555	-1.059013024	-0.2000965890	1.559013024
-40	-30	2.35340225689145	-0.8834684223	-0.2519082554	1.648753463
-35	-30	2.32197882755095	-0.7039747977	-0.2927273495	1.719454207
-30	-30	2.28788315675716	-0.5231724526	-0.3231724526	1.772186673
-25	-30	2.25170717470488	-0.3431598168	-0.3439428533	1.808162062
-20	-30	2.21392132574747	-0.1655635932	-0.3557547940	1.828620944
-15	-30	2.17489088785940	0.008377606188	-0.3592990366	1.834759752
-10	-30	2.13489283827368	0.1777298428	-0.3552143594	1.827684883
-5	-30	2.09412824859442	0.3417868138	-0.3440715624	1.808384993
0	-30	2.05274026635822	0.5000000000	-0.3263701332	1.777725218
5	-30	2.01083266312120	0.6519201332	-0.3025428011	1.736455068
10	-30	1.96848176363622	0.7971497754	-0.2729622892	1.685220119
15	-30	1.92574328163961	0.9353039167	-0.2379495838	1.624576334
20	-30	1.88266802822595	1.065980048	-0.1977897151	1.555017401
25	-30	1.83931242601227	1.188737126	-0.1527472327	1.477001533
30	-30	1.79573948248779	1.303079111	-0.1030791105	1.390973822
35	-30	1.75204520769509	1.408457153	-0.04906074710	1.297411272
40	-30	1.70835345789481	1.504270756	0.009002209452	1.196843281
45	-30	1.66483126326045	1.589887898	0.07075292893	1.089887898

-45	-25	2.33199320511343	-1.066033560	-0.03025344176	1.566033560
-40	-25	2.30112094077468	-0.8929299440	-0.07408435900	1.660029265
-35	-25	2.26706511576310	-0.7147327384	-0.1089589838	1.734818139
-30	-25	2.23052739161101	-0.5341234223	-0.1352289711	1.791154309
-25	-25	2.19210330346658	-0.3533455266	-0.1533455266	1.830005387
-20	-25	2.15228395944218	-0.1742359071	-0.1638106562	1.852447930
-15	-25	2.11146775647637	0.001723864353	-0.1671419228	1.859591854
-10	-25	2.06997130287775	0.1733498194	-0.1638467019	1.852525231
-5	-25	2.02803817060676	0.3396966304	-0.1544042837	1.832275899
0	-25	1.98585676953665	0.5000000000	-0.1392593360	1.799797454
5	-25	1.94357678183521	0.6536272403	-0.1188210420	1.755967391
10	-25	1.90131858531458	0.8000360722	-0.09346403835	1.701589121
15	-25	1.85917941010893	0.9387397009	-0.06353162557	1.637398855
20	-25	1.81724862647924	1.069280959	-0.02934555014	1.564086580
25	-25	1.77561786333008	1.191215399	0.008784600534	1.482316208
30	-25	1.73437705408510	1.304096799	0.05055629988	1.392736509
35	-25	1.69363683799890	1.407479940	0.09565796949	1.296015667
40	-25	1.65352227210800	1.500921179	0.1437642518	1.192851411
45	-25	1.61418486750107	1.583994442	0.1945250901	1.083994442

-45	-20	2.28262277887735	-1.063119715	0.1310709511	1.563119715
-40	-20	2.24868596705491	-0.8923213446	0.09606274732	1.659303964
-35	-20	2.21185479274408	-0.7157816600	0.06803260253	1.736316154
-30	-20	2.17281868565908	-0.5361541384	0.04679295287	1.794671612
-25	-20	2.13217869614926	-0.3557414882	0.03206237448	1.835143544
-20	-20	2.09044486167497	-0.1765005203	0.02349947966	1.858669904
-15	-20	2.04804366624941	-6.853854166e-05	0.02072919694	1.866281193
-10	-20	2.00532456846295	0.1722007005	0.02336397216	1.859042208
-5	-20	1.96256572773863	0.3391951759	0.03101996158	1.838007550
0	-20	1.91999033149858	0.5000000000	0.04332463164	1.804200746
5	-20	1.87778066173061	0.6538578732	0.05992065821	1.758603538
10	-20	1.83608566399027	0.8001347532	0.08046851368	1.702148769
15	-20	1.79502561992796	0.9382894043	0.1046472180	1.635718325
20	-20	1.75470765377276	1.067850730	0.1321492700	1.560157058
25	-20	1.71523301928837	1.188401990	0.1626769922	1.476282831
30	-20	1.67669336566975	1.299566379	0.1959414103	1.384889593
35	-20	1.63919072926858	1.401007621	0.2316532068	1.286772239
40	-20	1.60282626539004	1.492423688	0.2695234882	1.182724496
45	-20	1.56771455942997	1.573556944	0.3092572275	1.073556944

-45	-15	2.23342019568207	-1.051661066	0.2842336703	1.551661066
-40	-15	2.19630414506611	-0.8829249013	0.2583914034	1.648105719
-35	-15	2.15665406556076	-0.7082438976	0.2376399725	1.725551114
-30	-15	2.11515284444973	-0.5302031164	0.2218810698	1.784364140
-25	-15	2.07240726267118	-0.3511004788	0.2109415812	1.825190867
-20	-15	2.02894230744112	-0.1729354912	0.2045954189	1.848875067
-15	-15	1.98520481358455	0.002581509268	0.2025815093	1.856391080
-10	-15	1.94156730332520	0.1740090675	0.2046191641	1.848786449
-5	-15	1.89833127726798	0.3401464403	0.2104207733	1.827134549
0	-15	1.85574129683432	0.5000000000	0.2196988096	1.792508446
5	-15	1.81399718822227	0.6527520045	0.2321705166	1.745963401
10	-15	1.77325984918224	0.7977319564	0.2475619388	1.688521832
15	-15	1.73365528228508	0.9343895340	0.2656104660	1.621163811
20	-15	1.69529061185387	1.062273859	0.2860627815	1.544834731
25	-15	1.65825706833535	1.181016425	0.3086750928	1.460444436
30	-15	1.62262983526887	1.290315611	0.3332132484	1.368866793
35	-15	1.58848442574248	1.389932532	0.3594485344	1.270955372
40	-15	1.55588769501135	1.479680270	0.3871592748	1.167537481
45	-15	1.52490998527459	1.559426013	0.4161276553	1.059426013

-45	-10	2.18439055694523	-1.032729717	0.4297383967	1.532729717
-40	-10	2.14407903937744	-0.8657843450	0.4129963822	1.627678400
-35	-10	2.10166174036361	-0.6930825444	0.3995567295	1.703898458
-30	-10	2.05781769778364	-0.5171183980	0.3893646271	1.761700743
-25	-10	2.01315598424124	-0.3401363608	0.3823155157	1.801678240
-20	-10	1.96820906724904	-0.1641125263	0.3782677659	1.824634170
-15	-10	1.92343273641416	0.009246104877	0.3770538780	1.831518471
-10	-10	1.87920920456355	0.1784901004	0.3784901004	1.823373249
-5	-10	1.83584882306081	0.3424080149	0.3823849193	1.801284633
0	-10	1.79360184717526	0.5000000000	0.3885443078	1.766353005
5	-10	1.75266920229782	0.6504517232	0.3967755933	1.719671065
10	-10	1.71320836081080	0.7931091689	0.4068908311	1.662304701
15	-10	1.67533646745931	0.9274534178	0.4187094693	1.595277873
20	-10	1.63914672108598	1.053080406	0.4320577649	1.519575927
25	-10	1.60470763183871	1.169681456	0.4467703842	1.436136516
30	-10	1.57206860169760	1.277026993	0.4626902923	1.345850231
35	-10	1.54127145142084	1.374957197	0.4796673810	1.249568377
40	-10	1.51234506853323	1.463368039	0.4975594658	1.148097321
45	-10	1.48531596327134	1.542207360	0.5162307229	1.042207360

-45	-5	2.13547142764653	-1.007125097	0.5681436395	1.507125097
-40	-5	2.09203847406430	-0.8417264647	0.5601049853	1.599007335
-35	-5	2.04699516613340	-0.6711045952	0.5536742747	1.672510693
-30	-5	2.00101573621259	-0.4976483663	0.5488215441	1.727977658
-25	-5	1.95470385772317	-0.3235088341	0.5454932360	1.766020394
-20	-5	1.90858667920431	-0.1505801930	0.5436180043	1.787454390
-15	-5	1.86311423701440	0.01950324034	0.5431119760	1.793238320
-10	-5	1.81866171928412	0.1853584122	0.5438833813	1.784421117
-5	-5	1.77553129623666	0.3458366652	0.5458366652	1.762094979
0	-5	1.73396126974010	0.5000000000	0.5488753176	1.727363024
5	-5	1.69413828770720	0.6470962571	0.5529037429	1.681317912
10	-5	1.65620256633466	0.7865349832	0.5578291159	1.625020641
15	-5	1.62025142992631	0.9178624941	0.5635628239	1.559484059
20	-5	1.58635408768607	1.040740727	0.5700204603	1.485672937
25	-5	1.55455158271772	1.154926298	0.5771226989	1.404493979
30	-5	1.52486539327197	1.260253626	0.5847951110	1.316797906
35	-5	1.49730386601937	1.356621191	0.5929679572	1.223381847
40	-5	1.47186211674397	1.443977073	0.6015762975	1.124988068
45	-5	1.44853073990185	1.522311516	0.6105593318	1.022311516

-45	0	2.08655263285074	-0.9754155160	0.7000000000	1.475415516
-40	0	2.04015800106162	-0.8113882849	0.7000000000	1.562851700
-35	0	1.99271536665142	-0.6429745787	0.7000000000	1.632336866
-30	0	1.94488937447016	-0.4724446872	0.7000000000	1.684323606
-25	0	1.89726506044908	-0.3018188619	0.7000000000	1.719506098
-20	0	1.85034698167193	-0.1328559399	0.7000000000	1.738757405
-15	0	1.80456016832866	0.03294546040	0.7000000000	1.743071272
-10	0	1.76025339924254	0.1943352050	0.7000000000	1.733511195
-5	0	1.71770214261091	0.3502923939	0.7000000000	1.711165767
0	0	1.67711600221656	0.5000000000	0.7000000000	1.677116002
5	0	1.63865363064255	0.6428180743	0.7000000000	1.632418059
10	0	1.60242749817032	0.7782586149	0.7000000000	1.578083024
15	0	1.56850707874699	0.9059595044	0.7000000000	1.515061496
20	0	1.53693375470228	1.025662303	0.7000000000	1.444245308
25	0	1.50772139026912	1.137190593	0.7000000000	1.366459637
30	0	1.48086687311378	1.240433437	0.7000000000	1.282468332
35	0	1.45635094654160	1.335328586	0.7000000000	1.192972855
40	0	1.43414460235947	1.421850381	0.7000000000	1.098618503
45	0	1.41421365789470	1.500000068	0.7000000000	1.000000068

-45	5	2.03750007285756	-0.9379810734	0.8258070423	1.437981073
-40	5	1.98838551954778	-0.7752487617	0.8329637217	1.519782293
-35	5	1.93885320322289	-0.6092355924	0.8385953938	1.584152600
-30	5	1.88954478938016	-0.4420721877	0.8427567303	1.631716893
-25	5	1.84100957572031	-0.2756098927	0.8455199625	1.663300782
-20	5	1.79370841625176	-0.1114216244	0.8469693281	1.679867107
-15	5	1.74801913027197	0.04918624353	0.8471961632	1.682459844
-10	5	1.70424314440474	0.2051536505	0.8462947585	1.672156742
-5	5	1.66261073950877	0.3556411726	0.8443588274	1.650028948
0	5	1.62328781291298	0.5000000000	0.8414788550	1.617110713
5	5	1.58639369987433	0.6377411615	0.8377411615	1.574388680
10	5	1.55200482874642	0.7685080235	0.8332263958	1.522784672
15	5	1.52015888327397	0.8920486479	0.8280086420	1.463145473
20	5	1.49087115391408	1.008193447	0.8221560482	1.396250020
25	5	1.46413262461866	1.116833157	0.8157302642	1.322802973
30	5	1.43992224276245	1.217903436	0.8087873610	1.243445227
35	5	1.41820362723606	1.311367224	0.8013777061	1.158752483
40	5	1.39893697501554	1.397206617	0.7935471843	1.069249209
45	5	1.38207608741846	1.475410643	0.7853373735	0.9754106428

-45	10	1.98816215446101	-0.8950413797	0.9459834345	1.395041380
-40	10	1.93665062997509	-0.7336518680	0.9592375220	1.470209046
-35	10	1.88542038060897	-0.5703254962	0.9695304646	1.528583224
-30	10	1.83506441600993	-0.4070180420	0.9770099216	1.571001332
-25	10	1.78607546663789	-0.2453704306	0.9818502232	1.598452047
-20	10	1.73884762549682	-0.08672145589	0.9842397897	1.612003952
-15	10	1.69368804444948	0.06786427245	0.9843717774	1.612752491
-10	10	1.65083016996330	0.2175629829	0.9824370171	1.601779920
-5	10	1.61044225411558	0.3617572490	0.9786181193	1.580121875
0	10	1.57263394409672	0.5000000000	0.9730850185	1.548742101
5	10	1.53747577912276	0.6319792006	0.9659943932	1.508529166
10	10	1.50500362301832	0.7574878638	0.9574878638	1.460286241
15	10	1.47522476508635	0.8763959539	0.9476915922	1.404728824
20	10	1.44813171453307	0.9886281785	0.9367180700	1.342494887
25	10	1.42369990288061	1.094142761	0.9246658346	1.274143263
30	10	1.40189905757846	1.192917223	0.9116219707	1.200167835
35	10	1.38268924590353	1.284932405	0.8976624835	1.120999649
40	10	1.36603275565637	1.370166686	0.8828553592	1.037024274
45	10	1.35188718193913	1.448583874	0.8672609305	0.9485838745

-45	15	1.93838223344358	-0.8466844480	1.060843010	1.346684448
-40	15	1.88487939085530	-0.6868331858	1.078990744	1.414412713
-35	15	1.83241900921573	-0.5265944461	1.092848031	1.466128812
-30	15	1.78151721373416	-0.3677030553	1.102702389	1.502905778
-25	15	1.73257911957060	-0.2115391578	1.108863846	1.525900648
-20	15	1.68590841285078	-0.05916208251	1.111646377	1.536285196
-15	15	1.64171989460707	0.08864605476	1.111353945	1.535193824
-10	15	1.60016056646505	0.2313315720	1.108272676	1.523694371
-5	15	1.56132228634040	0.3685250945	1.102664681	1.502765047
0	15	1.52524948166178	0.5000000000	1.094763614	1.473277866
5	15	1.49195934441567	0.6256340319	1.084775993	1.436003555
10	15	1.46144650412422	0.7453782096	1.072880502	1.391608979
15	15	1.43369043129046	0.8592294990	1.059229499	1.340662742
20	15	1.40866552864149	0.9672094549	1.043952292	1.283647427
25	15	1.38633996539381	1.069344950	1.027156367	1.220964184
30	15	1.36668393122685	1.165654990	1.008931556	1.152948263
35	15	1.34966927883948	1.256138732	0.9893524441	1.079878023
40	15	1.33527157252874	1.340767119	0.9684816702	1.001987234
45	15	1.32346846510511	1.419475204	0.9463726383	0.9194752039

-45	20	1.88801068571758	-0.7928928742	1.170574522	1.292892874
-40	20	1.83301198327613	-0.6349480304	1.192298274	1.352578393
-35	20	1.77986507756865	-0.4783315459	1.208540029	1.397202247
-30	20	1.72897619710999	-0.3244985436	1.219776198	1.428073368
-25	20	1.68063125602715	-0.1745147087	1.226483476	1.446501461
-20	20	1.63501713937721	-0.02911701516	1.229117015	1.453737051
-15	20	1.59223863063020	0.1112248688	1.228094801	1.450928542
-10	20	1.55234185021499	0.2462472763	1.223790732	1.439103208
-5	20	1.51533348100056	0.3758396061	1.216531923	1.419159796
0	20	1.48118837431105	0.5000000000	1.206596260	1.391861785
5	20	1.44986923852762	0.6187965144	1.194217119	1.357850373
10	20	1.42133103204312	0.7323371109	1.179585100	1.317649233
15	20	1.39552894705592	0.8407447471	1.162852469	1.271676708
20	20	1.37242432822914	0.9441378910	1.144137891	1.220258827
25	20	1.35198633143884	1.042614368	1.123530421	1.163640267
30	20	1.33419599164073	1.136239327	1.101094776	1.101998840
35	20	1.31904667248687	1.225035277	1.076875777	1.035457686
40	20	1.30654085259676	1.308972326	1.050902129	0.9640956755
45	20	1.29669311500769	1.387963877	1.023192420	0.8879638771

-45	25	1.83691086336662	-0.7335645111	1.275220578	1.233564511
-40	25	1.78100762444662	-0.5780914669	1.299121116	1.284819379
-35	25	1.72779189340107	-0.4257808095	1.316529611	1.322152018
-30	25	1.67752385806770	-0.2777383590	1.328154817	1.347082353
-25	25	1.63033941644840	-0.1346611702	1.334661170	1.361035272
-20	25	1.58628462472772	0.003072051349	1.336649061	1.365298318
-15	25	1.54534138148464	0.1353215769	1.334643978	1.360998403
-10	25	1.50744695584536	0.2621185281	1.329092335	1.349092867
-5	25	1.47251976432807	0.3836067863	1.320366625	1.330380520
0	25	1.44046561626064	0.5000000000	1.308767075	1.305505205
5	25	1.41119508688134	0.6115458924	1.294530786	1.274975385
10	25	1.38462714356003	0.7184999888	1.277836799	1.239175014
15	25	1.36069721281471	0.8211050450	1.258813931	1.198380343
20	25	1.33935849675665	0.9195745580	1.237546236	1.152771624
25	25	1.32058837769879	1.014080784	1.214080784	1.102449799
30	25	1.30438453412472	1.104742449	1.188431461	1.047444648
35	25	1.29076899996353	1.191616377	1.160586320	0.9877305504
40	25	1.27978353113372	1.274687141	1.130512103	0.9232361832
45	25	1.27149234068265	1.353861697	1.098162248	0.8538616973

-45	30	1.78497721211771	-0.6685418840	1.374657971	1.168541884
-40	30	1.72886328433102	-0.5163276395	1.399293641	1.211212116
-35	30	1.67626888323623	-0.3691661895	1.416663712	1.241297961
-30	30	1.62726774961602	-0.2277362611	1.427736261	1.260476179
-25	30	1.58182123845876	-0.09231862853	1.433368440	1.270231398
-20	30	1.53981831142245	0.03708968955	1.434294641	1.271835625
-15	30	1.50110986358957	0.1606821847	1.431128279	1.266351326
-10	30	1.46552576339710	0.2787733372	1.424366021	1.254638751
-5	30	1.43289898315580	0.3917432523	1.414401843	1.237380289
0	30	1.40307144303973	0.5000000000	1.401535722	1.215095513
5	30	1.37590678090626	0.6039509380	1.385987185	1.188164658
10	30	1.35129326620613	0.7039828349	1.367904277	1.156844143
15	30	1.32915132586586	0.8004475122	1.347374416	1.121285381
20	30	1.30943065299791	0.8936496570	1.324429456	1.081543544
25	30	1.29211777718910	0.9838381298	1.299055301	1.037594218
30	30	1.27723145378761	1.071195271	1.271195271	0.9893392300
35	30	1.26482693429569	1.155828440	1.240757855	0.9366200794
40	30	1.25499447449165	1.237759650	1.207622357	0.8792277135
45	30	1.24785548071810	1.316913171	1.171645039	0.8169131710

-45	35	1.73215309637608	-0.5976433742	1.468578165	1.097643374
-40	35	1.67662159676858	-0.4497138862	1.492512352	1.131824936
-35	35	1.62540146724621	-0.3087068169	1.508706817	1.154953029
-30	35	1.57833934559781	-0.1747954015	1.518388511	1.168779920
-25	35	1.53520292668589	-0.04780790849	1.522588307	1.174777851
-20	35	1.49571914645422	0.07264566398	1.522146152	1.174146388
-15	35	1.45960923027296	0.1870777865	1.517731491	1.167841599
-10	35	1.42660454099102	0.2960596010	1.509862474	1.156603477
-5	35	1.39646190278549	0.4001764615	1.498928585	1.140988266
0	35	1.36896927795967	0.5000000000	1.485208520	1.121393983
5	35	1.34395252959690	0.5960700015	1.468887494	1.098085142
10	35	1.32127541010774	0.6888830623	1.450068671	1.071209077
15	35	1.30084604319787	0.7788853446	1.428786002	1.040814276
20	35	1.28261263644573	0.8664659057	1.405008722	1.006856801
25	35	1.26656954395813	0.9519512051	1.378649890	0.9692124871
30	35	1.25275731506425	1.035597670	1.349570193	0.9276823762
35	35	1.24126442227123	1.117582191	1.317582191	0.8819987755
40	35	1.23222918256386	1.197990034	1.282455129	0.8318321308
45	35	1.22583705570213	1.276797342	1.243919355	0.7767973425

-45	40	1.67845278932019	-0.5207013857	1.556470156	1.020701386
-40	40	1.62439844679556	-0.3783385604	1.578338560	1.046763135
-35	40	1.57535146093560	-0.2446435701	1.592349926	1.063461230
-30	40	1.53090620683948	-0.1192236165	1.599956813	1.072526765
-25	40	1.49062769065551	-0.001438911787	1.602316740	1.075339217
-20	40	1.45409027023412	0.1094700212	1.600330660	1.072972298
-15	40	1.42089756639194	0.2143016000	1.594682383	1.066240944
-10	40	1.39069848476482	0.3138429185	1.585878825	1.055749272
-5	40	1.36318893408786	0.4088432941	1.574279652	1.041925916
0	40	1.33811598702853	0.5000000000	1.560124377	1.025056316
5	40	1.31527727293406	0.5879528439	1.543551563	1.005305606
10	40	1.29451862879329	0.6732825717	1.524611987	0.9827342983
15	40	1.27573898230893	0.7565115140	1.503281827	0.9573140031
20	40	1.25888581392942	0.8381032528	1.479465703	0.9289310524
25	40	1.24395993001470	0.9184612412	1.453002159	0.8973930277
30	40	1.23101783568698	0.9979242443	1.423664770	0.8624300895
35	40	1.22017402124077	1.076756846	1.391161449	0.8236941394
40	40	1.21160847448217	1.155136334	1.355136334	0.7807610796
45	40	1.20556969486064	1.233131528	1.315170395	0.7331315280

-45	45	1.62398463001967	-0.4376079633	1.637607963	0.9376079633
-40	45	1.57239017507065	-0.3023492037	1.656202546	0.9562025460
-35	45	1.52633946246024	-0.1772560610	1.667221894	0.9672218935
-30	45	1.48516936549579	-0.06134125656	1.672271577	0.9722715767
-25	45	1.44825421221972	0.04648554691	1.672564883	0.9725648832
-20	45	1.41503515948001	0.1473115861	1.669003453	0.9690034534
-15	45	1.38502394475219	0.2421683913	1.662240664	0.9622406635
-10	45	1.35780860281269	0.3320064474	1.652738781	0.9527387806
-5	45	1.33304434009284	0.4176901302	1.640806117	0.9408061166
0	45	1.31045255600386	0.5000000000	1.626629889	0.9266298888
5	45	1.28981396859685	0.5796405765	1.610295955	0.9102959552
10	45	1.27096400969290	0.6572487895	1.591802201	0.8918022012
15	45	1.25379456419817	0.7334023688	1.571069499	0.8710694988
20	45	1.23825055466824	0.8086259880	1.547942933	0.8479429331
25	45	1.22433295923853	0.8833944951	1.522192148	0.8221921479
30	45	1.21210520698416	0.9581327058	1.493509123	0.7935091230
35	45	1.20169785998351	1.033208489	1.461500641	0.7615006413
40	45	1.19332033412832	1.108919869	1.425682442	0.7256824418
45	45	1.18727260412716	1.185472158	1.385472158	0.6854721576


### +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	1.84727567101092	1.566525106	-0.3665251059	1.066525106
45	-40	1.78084288554930	1.582966892	-0.2087171198	1.082966892
45	-35	1.72019864927307	1.590067993	-0.06327382599	1.090067993
45	-30	1.66483142485898	1.589888003	0.07075286785	1.089888003
45	-25	1.61418489941130	1.583994464	0.1945250802	1.083994464
45	-20	1.56771462290133	1.573556988	0.3092572116	1.073556988
45	-15	1.52491001171256	1.559426032	0.4161276504	1.059426032
45	-10	1.48531599374380	1.542207382	0.5162307191	1.042207382
45	-5	1.44853075813265	1.522311529	0.6105593306	1.022311529
45	0	1.41421366941747	1.500000076	0.7000000000	1.000000076
45	5	1.38207609290828	1.475410647	0.7853373739	0.9754106467
45	10	1.35188718816028	1.448583879	0.8672609313	0.9485838788
45	15	1.32346847234154	1.419475209	0.9463726397	0.9194752089
45	20	1.29669314916762	1.387963900	1.023192429	0.8879639005
45	25	1.27149235647264	1.353861708	1.098162253	0.8538617079
45	30	1.24785551057194	1.316913191	1.171645050	0.8169131905
45	35	1.22583705139612	1.276797340	1.243919353	0.7767973397
45	40	1.20556970507780	1.233131534	1.315170400	0.7331315342
45	45	1.18727269447140	1.185472210	1.385472210	0.6854722098

50	-45	1.86086795409163	1.631631769	-0.4316317691	0.9495518001
50	-40	1.79111913195220	1.654198024	-0.2684871363	0.9684871363
50	-35	1.72670759547800	1.665636132	-0.1161872066	0.9780848487
50	-30	1.66737019185338	1.668131104	0.02557919248	0.9801783788
50	-25	1.61274527932054	1.663434878	0.1574814067	0.9762377769
50	-20	1.56242995149016	1.652916081	0.2803728639	0.9674114584
50	-15	1.51601553419262	1.637617428	0.3951763289	0.9545743643
50	-10	1.47311916216727	1.618318960	0.5028101944	0.9383810266
50	-5	1.43338789068263	1.595581070	0.6041490764	0.9193016720
50	0	1.39651694771007	1.569794048	0.7000000000	0.8976637907
50	5	1.36224379298881	1.541203517	0.7910935041	0.8736734869
50	10	1.33035839185705	1.509942068	0.8780800355	0.8474420166
50	15	1.30069969225204	1.476044510	0.9615303381	0.8189985880
50	20	1.27315726249612	1.439461945	1.041936184	0.7883021718
50	25	1.24767762469042	1.400074974	1.119711853	0.7552525784
50	30	1.22426302206337	1.357697782	1.195192046	0.7196938928
50	35	1.20297785451491	1.312085646	1.268628491	0.6814207662
50	40	1.18395557383651	1.262941537	1.340183962	0.6401839625
50	45	1.16739961361635	1.209919523	1.409919523	0.5956932098

55	-45	1.87260596733730	1.686646571	-0.4866465711	0.8308988743
55	-40	1.80024069014611	1.715275592	-0.3197373010	0.8509451305
55	-35	1.73270512876831	1.731199231	-0.1620949824	0.8620949824
55	-30	1.66996229130467	1.736627851	-0.01396742279	0.8658961434
55	-25	1.61184326511493	1.733425063	0.1248444473	0.8636535271
55	-20	1.55809542756781	1.723112055	0.2548236188	0.8564322810
55	-15	1.50842901806140	1.706902588	0.3766114263	0.8450822898
55	-10	1.46254820406772	1.685744395	0.4909212709	0.8302671639
55	-5	1.42016417328294	1.660354360	0.5984821478	0.8124888699
55	0	1.38101804442133	1.631263754	0.7000000000	0.7921194085
55	5	1.34487948431306	1.598842516	0.7961362632	0.7694178131
55	10	1.31156248415462	1.563334432	0.8874945500	0.7445547853
55	15	1.28092154289685	1.524872570	0.9746137776	0.7176234994
55	20	1.25285683204692	1.483498358	1.057964128	0.6886529640
55	25	1.22731961929861	1.439177408	1.137945617	0.6576191004
55	30	1.20430935606024	1.391806060	1.214884469	0.6244493258
55	35	1.18388109698317	1.341224206	1.289031530	0.5890315303
55	40	1.16614553841854	1.287221518	1.360557286	0.5512184414
55	45	1.15126823307139	1.229544029	1.429544029	0.5108322282

60	-45	1.88254494954077	1.732414961	-0.5324149615	0.7115351098
60	-40	1.80815009719110	1.766759104	-0.3629370967	0.7313637095
60	-35	1.73807214634750	1.787064046	-0.2012119473	0.7430867735
60	-30	1.67246806456507	1.795488192	-0.04795045651	0.7479504565
60	-25	1.61134353743147	1.793938344	0.09662664087	0.7470556514
60	-20	1.55459616707327	1.784041613	0.2326470734	0.7413417708
60	-15	1.50206131765788	1.767153983	0.3604671137	0.7315916930
60	-10	1.45353815734774	1.744376144	0.4805829117	0.7184409016
60	-5	1.40881126722135	1.716579336	0.5935630999	0.7023924069
60	0	1.36767475652109	1.684441083	0.7000000000	0.6838373783
60	5	1.32993515227806	1.648465846	0.8004777420	0.6630670654
60	10	1.29543028449335	1.609019762	0.8955501063	0.6402928584
60	15	1.26402721733643	1.566346030	0.9857265575	0.6156551674
60	20	1.23563009312006	1.520586884	1.071463247	0.5892361121
60	25	1.21018414595311	1.471800013	1.153157788	0.5610689989
60	30	1.18767398873452	1.419968316	1.231143955	0.5311439548
60	35	1.16813146409494	1.365015881	1.305690640	0.4994171517
60	40	1.15163170450627	1.306813521	1.376996928	0.4658140033
60	45	1.13829115187287	1.245186481	1.445186481	0.4302336153

65	-45	1.89076288612197	1.769728456	-0.5697284565	0.5920841030
65	-40	1.81482064080090	1.809212098	-0.3985593885	0.6104956274
65	-35	1.74271757105659	1.833573541	-0.2337782460	0.6218555548
65	-30	1.67476611524527	1.844867835	-0.07645980642	0.6271221706
65	-25	1.61112249193248	1.844992654	0.07281962530	0.6271803747
65	-20	1.55182395741245	1.835638388	0.2138673831	0.6228184088
65	-15	1.49682767604121	1.818271873	0.3467701163	0.6147202699
65	-10	1.44602842384962	1.794126221	0.4718106308	0.6034609674
65	-5	1.39928720016903	1.764216941	0.5893953494	0.5895140413
65	0	1.35645323243689	1.729364127	0.7000000000	0.5732619072
65	5	1.31737070798698	1.690207676	0.8041296789	0.5550029543
65	10	1.28190006584005	1.647239197	0.9022892237	0.5349664232
65	15	1.24991716449685	1.600815189	0.9949625410	0.5133185529
65	20	1.22132518677805	1.551181608	1.082598816	0.4901740341
65	25	1.19605663730741	1.498488569	1.165602866	0.4656028661
65	30	1.17407347059275	1.442802480	1.244327265	0.4396360164
65	35	1.15537587719236	1.384124155	1.319070398	0.4122738641
65	40	1.13999667802939	1.322393910	1.390070426	0.3834885782
65	45	1.12799984910150	1.257500328	1.457500328	0.3532282042

70	-45	1.89734327627640	1.799283749	-0.5992837490	0.4729006105
70	-40	1.82025052341449	1.843161719	-0.4270465033	0.4888708857
70	-35	1.74658084327558	1.871073971	-0.2600363297	0.4990301143
70	-30	1.67676367840956	1.884947669	-0.09959990956	0.5040797276
70	-25	1.61107960042869	1.886639090	0.05339957320	0.5046953545
70	-20	1.54968757563405	1.877868276	0.1984969609	0.5015030391
70	-15	1.49265459866216	1.860182525	0.3355401909	0.4950659523
70	-10	1.43996452431673	1.834923468	0.4646169753	0.4858724075
70	-5	1.39155134883779	1.803233746	0.5859818213	0.4743382918
70	0	1.34731815373832	1.766064927	0.7000000000	0.4608099480
70	5	1.30714489748666	1.724184320	0.8071022500	0.4455666536
70	10	1.27091214120949	1.678202945	0.9077489680	0.4288308020
70	15	1.23850136658410	1.628585218	1.002403498	0.4107714263
70	20	1.20981029444080	1.575674382	1.091513457	0.3915134566
70	25	1.18475465785655	1.519705743	1.175496597	0.3711425381
70	30	1.16327008991063	1.460820073	1.254729728	0.3497099070
70	35	1.14532258121357	1.399083478	1.329545029	0.3272396241
70	40	1.13090262530550	1.334492338	1.400222213	0.3037303717
70	45	1.12002592819190	1.266983764	1.466983764	0.2791592601

75	-45	1.90236782612925	1.821663561	-0.6216635613	0.3541386839
75	-40	1.82445068692735	1.869067039	-0.4487836472	0.3668404074
75	-35	1.74961860389894	1.899879739	-0.2802063461	0.3750966457
75	-30	1.67838605103391	1.915903295	-0.1174721485	0.3793901445
75	-25	1.61112993901299	1.918939078	0.03833784160	0.3802035800
75	-20	1.54810798743984	1.910714463	0.1865419262	0.3779998012
75	-15	1.48947758993684	1.892830046	0.3267923140	0.3732076860
75	-10	1.43529986908677	1.866711802	0.4590118345	0.3662093236
75	-5	1.38557228408830	1.833606531	0.5833245469	0.3573387931
75	0	1.34024449223929	1.794576769	0.7000000000	0.3468807997
75	5	1.29922801306992	1.750500594	0.8094046257	0.3350706242
75	10	1.26242003297342	1.702093301	0.9119614824	0.3220999293
75	15	1.22970512418571	1.649913403	1.008118368	0.3081183678
75	20	1.20097355555486	1.594387975	1.098324648	0.2932403740
75	25	1.17612396528216	1.535824743	1.183013010	0.2775484033
75	30	1.15506690716568	1.474426020	1.262585125	0.2610966652
75	35	1.13773660438009	1.410309491	1.337405568	0.2439166930
75	40	1.12408600342292	1.343513671	1.407792010	0.2260188069
75	45	1.11409025549961	1.274010407	1.474010407	0.2073954634

80	-45	1.90590344069426	1.837322592	-0.6373225919	0.2358060549
80	-40	1.82743459675741	1.887297654	-0.4640809494	0.2446180066
80	-35	1.75180290629024	1.920254370	-0.2944728158	0.2504291648
80	-30	1.67957953735281	1.937890500	-0.1301664672	0.2535388905
80	-25	1.61120950041069	1.941955377	0.02760516481	0.2542556380
80	-20	1.54702289076917	1.934172251	0.1780039899	0.2528832628
80	-15	1.48724434434273	1.916174029	0.3205373127	0.2497096906
80	-10	1.43199446816717	1.889446369	0.4550031170	0.2449968830
80	-5	1.38132003505940	1.855313423	0.5814254400	0.2389783237
80	0	1.33520695860930	1.814922165	0.7000000000	0.2318562552
80	5	1.29359087015835	1.769235967	0.8110437584	0.2238005458
80	10	1.25638169993142	1.719051490	0.9149516686	0.2149516686
80	15	1.22346546992135	1.665000244	1.012160874	0.2054209755
80	20	1.19472537077517	1.607573769	1.103123884	0.1952951386
80	25	1.17004501695183	1.547134282	1.188286735	0.1846380264
80	30	1.14931432437771	1.483929675	1.268072063	0.1734933488
80	35	1.13244205445187	1.418114572	1.342870745	0.1618883705
80	40	1.11935208606647	1.349756552	1.413030410	0.1498350072
80	45	1.10998908988841	1.278850311	1.478850311	0.1373323237

85	-45	1.90800439576670	1.846588521	-0.6465885207	0.1178112300
85	-40	1.82921907663677	1.898126639	-0.4731675470	0.1223202311
85	-35	1.75311962446895	1.932397774	-0.3029757188	0.1253185669
85	-30	1.68030983393530	1.951031993	-0.1377537120	0.1269488498
85	-25	1.61127523361801	1.955742215	0.02117625705	0.1273609408
85	-20	1.54638995825269	1.948245212	0.1728818510	0.1267050380
85	-15	1.48591995550282	1.930190673	0.3167815641	0.1251254706
85	-10	1.43002317623118	1.903099612	0.4525956817	0.1227553099
85	-5	1.37877759631572	1.868343709	0.5802854376	0.1197145624
85	0	1.33219211196441	1.827122719	0.7000000000	0.1161081930
85	5	1.29021746911093	1.780453760	0.8120251882	0.1120251882
85	10	1.25277148007427	1.729185098	0.9167384970	0.1075397614
85	15	1.21974072693863	1.673994470	1.014570870	0.1027112072
85	20	1.19100323550783	1.615413822	1.105977430	0.09758606453
85	25	1.16643251842936	1.553839234	1.191413305	0.09219898613
85	30	1.14590530798217	1.489546826	1.271315126	0.08657412932
85	35	1.12931403001997	1.422713362	1.346090852	0.08072695884
85	40	1.11656426220303	1.353423332	1.416107203	0.07466486672
85	45	1.10758181354644	1.281684235	1.481684235	0.06838850899

90	-45	1.90869944028144	1.849654317	-0.6496543175	0.000000000
90	-40	1.82981093953149	1.901716502	-0.4761798000	0.000000000
90	-35	1.75355750712551	1.936430217	-0.3057992659	0.000000000
90	-30	1.68055357352235	1.955402087	-0.1402767868	0.000000000
90	-25	1.61129810511137	1.960332020	0.01903599567	0.000000000
90	-20	1.54618000379855	1.952933940	0.1711752935	0.000000000
90	-15	1.48547913788775	1.934862664	0.3155297080	0.000000000
90	-10	1.42936618104324	1.907650897	0.4517931674	0.000000000
90	-5	1.37792978784761	1.872686349	0.5799055059	0.000000000
90	0	1.33118672377101	1.831186724	0.7000000000	0.000000000
90	5	1.28909288822691	1.784187501	0.8123518481	0.000000000
90	10	1.25156873465078	1.732554593	0.9173326300	0.000000000
90	15	1.21850099070963	1.676981576	1.015371263	0.000000000
90	20	1.18976582806601	1.618014169	1.106923879	0.000000000
90	25	1.16523319865761	1.556059922	1.192448829	0.000000000
90	30	1.14477525117484	1.491404449	1.272387626	0.000000000
90	35	1.12827879085991	1.424231878	1.347154128	0.000000000
90	40	1.11564315802362	1.354632242	1.417121599	0.000000000
90	45	1.10678778398314	1.282617147	1.482617147	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	1.18727273375726	1.185472232	1.385472232	0.6854722324
40	45	1.19332037755757	1.108919891	1.425682468	0.7256824682
35	45	1.20169788978454	1.033208503	1.461500660	0.7615006602
30	45	1.21210522333234	0.9581327120	1.493509134	0.7935091337
25	45	1.22433297032576	0.8833944985	1.522192155	0.8221921554
20	45	1.23825057993224	0.8086259943	1.547942950	0.8479429504
15	45	1.25379457707233	0.7334023712	1.571069508	0.8710695077
10	45	1.27096402118449	0.6572487909	1.591802209	0.8918022093
5	45	1.28981397514190	0.5796405769	1.610295960	0.9102959598
0	45	1.31045256530124	0.5000000000	1.626629895	0.9266298953
-5	45	1.33304435457954	0.4176901293	1.640806127	0.9408061268
-10	45	1.35780862842279	0.3320064442	1.652738799	0.9527387986
-15	45	1.38502397614631	0.2421683854	1.662240685	0.9622406853
-20	45	1.41503522904213	0.1473115687	1.669003501	0.9690035010
-25	45	1.44825428157858	0.04648552519	1.672564930	0.9725649298
-30	45	1.48516953757006	-0.06134132160	1.672271689	0.9722716894
-35	45	1.52633959070082	-0.1772561179	1.667221975	0.9672219748
-40	45	1.57239053319525	-0.3023493864	1.656202764	0.9562027638
-45	45	1.62398487335272	-0.4376081038	1.637608104	0.9376081038

45	50	1.16739965447479	1.209919548	1.409919548	0.5956932306
40	50	1.17126398673229	1.133321416	1.454763072	0.6333214157
35	50	1.17786201481961	1.056756633	1.495130876	0.6671940249
30	50	1.18691369052378	0.9800849227	1.531531478	0.6977377565
25	50	1.19821435170129	0.9030726816	1.564392155	0.7253111387
20	50	1.21163017661513	0.8254116452	1.594061147	0.7502063789
15	50	1.22709015410400	0.7467297446	1.620807943	0.7726496051
10	50	1.24458448719692	0.6665984527	1.644826776	0.7928037994
5	50	1.26416022913902	0.5845346374	1.666235327	0.8107677062
0	50	1.28591764221637	0.5000000000	1.685070064	0.8265719275
-5	50	1.31001395694201	0.4123991150	1.701282697	0.8401759417
-10	50	1.33665972739454	0.3210764760	1.714725729	0.8514559849
-15	50	1.36612207864220	0.2253152505	1.725137441	0.8601924488
-20	50	1.39872721572087	0.1243390654	1.732119935	0.8660514568
-25	50	1.43485678770722	0.01732211154	1.735106072	0.8685571234
-30	50	1.47495060846642	-0.09659059834	1.733325228	0.8670628174
-35	50	1.51949099781733	-0.2182392179	1.725751907	0.8607080472
-40	50	1.56898994865734	-0.3483782877	1.711057872	0.8483782877
-45	50	1.62395031221518	-0.4875573174	1.687557317	0.8286589808

45	55	1.15126826279714	1.229544047	1.429544047	0.5108322414
40	55	1.15310060895430	1.153168051	1.478415371	0.5450523108
35	55	1.15797495458418	1.076142115	1.522816214	0.5761421153
30	55	1.16564990055440	0.9983561963	1.563178252	0.6044039190
25	55	1.17594431675849	0.9196133198	1.599863668	0.6300913239
20	55	1.18873799087329	0.8396442012	1.633164774	0.6534090089
15	55	1.20396713800054	0.7581157024	1.663300916	0.6745105628
10	55	1.22162319059275	0.6746372690	1.690417169	0.6934975675
5	55	1.24175184746078	0.5887643717	1.714581411	0.7104175519
0	55	1.26444865048952	0.5000000000	1.735775697	0.7252579509
-5	55	1.28986342489569	0.4077964598	1.753891287	0.7379426239
-10	55	1.31819460165430	0.3115573550	1.768711347	0.7483197411
-15	55	1.34969142315351	0.2106428085	1.779895740	0.7561511379
-20	55	1.38465137912245	0.1043797580	1.786957682	0.7610959624
-25	55	1.42341423043865	-0.007918242554	1.789234186	0.7626899881
-30	55	1.46635617651612	-0.1269186710	1.785854990	0.7603238496
-35	55	1.51387206114424	-0.2532161626	1.775704161	0.7532161626
-40	55	1.56635062565571	-0.3872514482	1.757385101	0.7403890184
-45	55	1.62414020268299	-0.5291969780	1.729196978	0.7206514823

45	60	1.13829116426625	1.245186489	1.445186489	0.4302336200
40	60	1.13830659856291	1.169163646	1.497478179	0.4604242412
35	60	1.14159139902122	1.091929288	1.545362632	0.4880703434
30	60	1.14795175541060	1.013379632	1.589199606	0.5133796320
25	60	1.15724098248094	0.9333330309	1.629285684	0.5365233396
20	60	1.16936424831083	0.8515419730	1.665853633	0.5576358549
15	60	1.18427472851892	0.7676989362	1.699066031	0.5768110419
10	60	1.20197380268140	0.6814424965	1.729011532	0.5941000848
5	60	1.22251210416050	0.5923618385	1.755700645	0.6095090515
0	60	1.24598436956800	0.5000000000	1.779054117	0.6229921848
-5	60	1.27253402503809	0.4038589624	1.798897088	0.6344485294
-10	60	1.30234545490972	0.3034060226	1.814939850	0.6437108225
-15	60	1.33564561758790	0.1980844881	1.826764030	0.6505375161
-20	60	1.37269642507071	0.08733097043	1.833798840	0.6545990657
-25	60	1.41378828605548	-0.02939808764	1.835297863	0.6554645266
-30	60	1.45922578810953	-0.1525856113	1.830311435	0.6525856113
-35	60	1.50931247198791	-0.2825972212	1.817664662	0.6452839932
-40	60	1.56431694051039	-0.4195976095	1.795933755	0.6327376484
-45	60	1.62444502564521	-0.5634488989	1.763448899	0.6139825081

45	65	1.12799986372519	1.257500338	1.457500338	0.3532282088
40	65	1.12645224477884	1.181871619	1.512622952	0.3789323057
35	65	1.12833496906841	1.104581411	1.563431737	0.4026248314
30	65	1.13350357965838	1.025518138	1.610224115	0.4244444754
25	65	1.14185119337297	0.9445016831	1.653236936	0.4445016831
20	65	1.15331427230332	0.8612933559	1.692645337	0.4628781225
15	65	1.16786942205473	0.7756004494	1.728554880	0.4796230172
10	65	1.18553391596425	0.6870822398	1.760996106	0.4947506093
5	65	1.20636794164784	0.5953556244	1.789919774	0.5082379375
0	65	1.23046824875308	0.5000000000	1.815182956	0.5200183524
-5	65	1.25797300750445	0.4005653272	1.836543511	0.5299789432
-10	65	1.28905207851018	0.2965821586	1.853639906	0.5379511228
-15	65	1.32390808013318	0.1875766632	1.865979767	0.5437052944
-20	65	1.36276431106810	0.07309321225	1.872916760	0.5469400674
-25	65	1.40585889689168	-0.04727502977	1.873635089	0.5472750298
-30	65	1.45342404937674	-0.1738405714	1.867126106	0.5442398412
-35	65	1.50567449786694	-0.3067664635	1.852181917	0.5372712514
-40	65	1.56276921633831	-0.4459859316	1.827382133	0.5257069221
-45	65	1.62478929043759	-0.5911157676	1.791115768	0.5087956384

45	70	1.12002593302718	1.266983767	1.466983767	0.2791592613
40	70	1.11719004137658	1.191731777	1.524373831	0.3000475363
35	70	1.11789479056626	1.114468901	1.577552537	0.3194030023
30	70	1.12204052905382	1.035068547	1.626765909	0.3373152052
25	70	1.12955980748723	0.9533443620	1.672200122	0.3538519061
20	70	1.14042122246813	0.8690580721	1.713978719	0.3690580721
15	70	1.15462721987578	0.7819240409	1.752154845	0.3829530453
10	70	1.17221383704590	0.6916153029	1.786704384	0.3955280492
5	70	1.19325352795911	0.5977704445	1.817521295	0.4067444874
0	70	1.21784724389777	0.5000000000	1.844402068	0.4165282889
-5	70	1.24612928110917	0.3978971267	1.867041182	0.4247682524
-10	70	1.27825576043188	0.2910506112	1.885010870	0.4313086838
-15	70	1.31440518695105	0.1790631510	1.897752627	0.4359463041
-20	70	1.35476303377094	0.06157757897	1.904555702	0.4384224210
-25	70	1.39951684235556	-0.06169055045	1.904549273	0.4384200809
-30	70	1.44883154366598	-0.1909056930	1.896683764	0.4355572698
-35	70	1.50284137550543	-0.3260610001	1.879737371	0.4293892872
-40	70	1.56161165868259	-0.4669047952	1.852312263	0.4194073644
-45	70	1.62512136948803	-0.6128686157	1.812868616	0.4050510508

45	75	1.11409025830760	1.274010409	1.474010409	0.2073954639
40	75	1.11024953882723	1.199079741	1.533130793	0.2232367233
35	75	1.11002178151032	1.121878615	1.588134705	0.2379749769
30	75	1.11334487853530	1.042264057	1.639228899	0.2516656249
25	75	1.12018581201010	0.9600402142	1.686559423	0.2643478007
20	75	1.13054233677794	0.8749648573	1.730207478	0.2760432619
15	75	1.14444125521174	0.7867544135	1.770182040	0.2867544135
10	75	1.16193699794369	0.6950902885	1.806412007	0.2964622037
5	75	1.18311435336161	0.5996269952	1.838741765	0.3051249364
0	75	1.20807926521494	0.5000000000	1.866914962	0.3126739218
-5	75	1.23696348847174	0.3958385087	1.890571294	0.3190126167
-10	75	1.26991130347343	0.2867807264	1.909226590	0.3240112882
-15	75	1.30707969320550	0.1724944430	1.922267379	0.3275055570
-20	75	1.34862062591451	0.05270552543	1.928931469	0.3292911946
-25	75	1.39467720021536	-0.07276890226	1.928306875	0.3291238351
-30	75	1.44535699965776	-0.2039733744	1.919317652	0.3267151801
-35	75	1.50072655193063	-0.3407670601	1.900739801	0.3217372600
-40	75	1.56077684823325	-0.4827587739	1.871206300	0.3138237821
-45	75	1.62540804707879	-0.6292466991	1.829246699	0.3025807411

45	80	1.10998909227675	1.278850312	1.478850312	0.1373323240
40	80	1.10543062763767	1.204162402	1.539188072	0.1479714990
35	80	1.10452946462445	1.127025177	1.595484756	0.1578981233
30	80	1.10725153154001	1.047281669	1.647919657	0.1671438110
25	80	1.11359026514335	0.9647268667	1.696609982	0.1757292291
20	80	1.12356645877173	0.8791134650	1.741605685	0.1836631855
15	80	1.13722665800058	0.7901574885	1.782882489	0.1909413998
10	80	1.15464063765546	0.6975450070	1.820333407	0.1975450070
5	80	1.17590374500646	0.6009413211	1.853764580	0.2034398248
0	80	1.20112667759236	0.5000000000	1.882878864	0.2085734587
-5	80	1.23043954801224	0.3943772447	1.907273617	0.2128749118
-10	80	1.26397752312152	0.2837487782	1.926421623	0.2162512218
-15	80	1.30188065142030	0.1678318984	1.939668232	0.2185869564
-20	80	1.34427467163951	0.04641523450	1.946213901	0.2197411345
-25	80	1.39126810120574	-0.08060822344	1.945118353	0.2195479599
-30	80	1.44292488435153	-0.2131950748	1.935290105	0.2178149746
-35	80	1.49926035655143	-0.3511081144	1.915508357	0.2143269186
-40	80	1.56021218120828	-0.4938595233	1.884435657	0.2088479633
-45	80	1.62562487053143	-0.6406584504	1.840658450	0.2011288606

45	85	1.10758181473093	1.281684236	1.481684236	0.06838850907
40	85	1.10259313013425	1.207146833	1.542744779	0.07373061443
35	85	1.10128552498705	1.130055488	1.599812490	0.07872339215
30	85	1.10364217051307	1.050243953	1.653050483	0.08338111302
25	85	1.10967306287070	0.9675007760	1.702558649	0.08771251634
20	85	1.11941368236812	0.8815746895	1.748367843	0.09172030149
15	85	1.13292335558078	0.7921806889	1.790433176	0.09540054123
10	85	1.15028193782162	0.6990070674	1.828625163	0.09874190716
5	85	1.17159167863344	0.6017253149	1.862725669	0.1017253149
0	85	1.19696663897580	0.5000000000	1.892411820	0.1043225165
-5	85	1.22653614168250	0.3935040446	1.917254341	0.1064959554
-10	85	1.26042964693020	0.2819365849	1.936699082	0.1081971498
-15	85	1.29877640949498	0.1650458443	1.950065927	0.1093665973
-20	85	1.34168549243939	0.04265948926	1.956532726	0.1099323689
-25	85	1.38924349380431	-0.08528266844	1.955142733	0.1098107602
-30	85	1.44148705939037	-0.2186836084	1.944796524	0.1089055843
-35	85	1.49839982994254	-0.3572482023	1.924277311	0.1071103858
-40	85	1.55988729728748	-0.5004319206	1.892268336	0.1043099632
-45	85	1.62576085578626	-0.6473930095	1.847393010	0.1003838809

45	90	1.10678778474314	1.282617148	1.482617148	0.000000000
40	90	1.10165570374520	1.208130637	1.543917230	0.000000000
35	90	1.10021213905492	1.131055758	1.601241023	0.000000000
30	90	1.10244610845495	1.051223054	1.654746336	0.000000000
25	90	1.10837320626625	0.9684187578	1.704527268	0.000000000
20	90	1.11803395929003	0.8823901350	1.750608261	0.000000000
15	90	1.13149211342231	0.7928517083	1.792937455	0.000000000
10	90	1.14883104000647	0.6994924165	1.831377715	0.000000000
5	90	1.17015541611639	0.6019857644	1.865702621	0.000000000
0	90	1.19558050741947	0.5000000000	1.895580507	0.000000000
-5	90	1.22523539414179	0.3932136992	1.920573004	0.000000000
-10	90	1.25924759333851	0.2813339502	1.940116793	0.000000000
-15	90	1.29774265736757	0.1641194846	1.953523149	0.000000000
-20	90	1.34082393304711	0.04141120624	1.959962356	0.000000000
-25	90	1.38857051584316	-0.08683525771	1.958472271	0.000000000
-30	90	1.44100976636462	-0.2205048832	1.947951065	0.000000000
-35	90	1.49811461541213	-0.3592832424	1.927183650	0.000000000
-40	90	1.55977980218680	-0.5026071307	1.894860650	0.000000000
-45	90	1.62580573231897	-0.6496182582	1.849618258	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	1.62580572696161	-0.6496182544	1.849618254	1.407876316e-16
-90	40	1.69589682637788	-0.7991323399	1.790101467	1.590978262e-16
-90	35	1.76964358304842	-0.9496071587	1.715025860	1.775256767e-16
-90	30	1.84651281898768	-1.099127010	1.623256409	1.958365774e-16
-90	25	1.92587076922705	-1.245431675	1.513908157	2.137537314e-16
-90	20	2.00697112964386	-1.385935961	1.386424553	2.309605438e-16
-90	15	2.08897131468697	-1.517791343	1.240665561	2.471081710e-16
-90	10	2.17096574474239	-1.637983897	1.076984245	2.618275136e-16
-90	5	2.25198757925454	-1.743418087	0.8962736501	2.747394779e-16
-90	-2.84217e-14	2.33105289194781	-1.831052892	0.7000000000	2.854716463e-16
-90	-5	2.40716315426103	-1.898003172	0.4902019074	2.936706909e-16
-90	-10	2.47933143878803	-1.941664823	0.2694686138	2.990177010e-16
-90	-15	2.54661438458092	-1.959840604	0.04088769674	3.012435922e-16
-90	-20	2.60812623017084	-1.950836973	-0.1920317071	3.001409654e-16
-90	-25	2.66305244102786	-1.913545165	-0.4254545936	2.955740360e-16
-90	-30	2.71065878824877	-1.847499372	-0.6553293941	2.874857591e-16
-90	-35	2.75030818229729	-1.752920570	-0.8775119661	2.759031965e-16
-90	-40	2.78147323320383	-1.630732114	-1.087896531	2.609394263e-16
-90	-45	2.80373897633176	-1.482542843	-1.282542843	2.427914747e-16

-85	45	1.62576084723124	-0.6473930035	1.847393003	0.1003838804
-85	40	1.69566632281545	-0.7960482901	1.787513642	0.1133895328
-85	35	1.76915635642405	-0.9455006896	1.712150479	0.1264649235
-85	30	1.84569791208500	-1.093852911	1.620211407	0.1394440611
-85	25	1.92466298539977	-1.238879304	1.510852736	0.1521322263
-85	20	2.00531547414927	-1.378044097	1.383552150	0.1643075681
-85	15	2.08683165230828	-1.508565235	1.238193433	0.1757266881
-85	10	2.16832738066500	-1.627503496	1.075136268	0.1861324375
-85	5	2.24886088098316	-1.731842647	0.8952609304	0.1952609304
-85	-2.84217e-14	2.32747619468046	-1.818619445	0.7000000000	0.2028529165
-85	-5	2.40320255137984	-1.885016338	0.4913381081	0.2086618919
-85	-10	2.47507675069037	-1.928477585	0.2717938798	0.2124642583
-85	-15	2.54217375867987	-1.946829781	0.04437393624	0.2140698674
-85	-20	2.60362004828171	-1.938376069	-0.1874963092	0.2133302635
-85	-25	2.65860633167407	-1.901976638	-0.4200601011	0.2101457259
-85	-30	2.70639698654653	-1.837109820	-0.6493309839	0.2044706147
-85	-35	2.74634459056431	-1.743918682	-0.8712087763	0.1963174466
-85	-40	2.77790282949262	-1.623233896	-1.081604779	0.1857588959
-85	-45	2.80063321826543	-1.476568058	-1.276568058	0.1729272977

-80	45	1.62562484374641	-0.6406584316	1.840658432	0.2011288573
-80	40	1.69497119228078	-0.7867380108	1.779701390	0.2268866284
-80	35	1.76769114510153	-0.9331355794	1.703492336	0.2527004697
-80	30	1.84325362394058	-1.078012125	1.611065725	0.2782461135
-80	25	1.92104864157799	-1.219246577	1.501697845	0.3031495581
-80	20	2.00037120196450	-1.354450174	1.374964664	0.3269896001
-80	15	2.08045329155932	-1.481035551	1.230816876	0.3493100174
-80	10	2.16047262242813	-1.596279634	1.069630659	0.3696306586
-80	5	2.23956159406558	-1.697396557	0.8922472880	0.3874603003
-80	-2.84217e-14	2.31684267956948	-1.781644633	0.7000000000	0.4023155092
-80	-5	2.39142449038617	-1.846400276	0.4947165758	0.4137336762
-80	-10	2.46241500268262	-1.889250559	0.2787106628	0.4212893372
-80	-15	2.52894433697221	-1.908094745	0.05475295786	0.4246120756
-80	-20	2.59017647023486	-1.901230933	-0.1739765850	0.4234018003
-80	-25	2.64531904076078	-1.867433915	-0.4039525648	0.4174424743
-80	-30	2.69363415711225	-1.806024144	-0.6313836603	0.4066142748
-80	-35	2.73444620610103	-1.716921298	-0.8523050045	0.3909030389
-80	-40	2.76715583128217	-1.600687378	-1.062686004	0.3704078628
-80	-45	2.79125868276596	-1.458553207	-1.258553207	0.3453457736

-75	45	1.62540799506541	-0.6292466629	1.829246663	0.3025807314
-75	40	1.69381830595855	-0.7710405542	1.766529660	0.3405742900
-75	35	1.76525807043230	-0.9123929650	1.688968201	0.3784495544
-75	30	1.83920341157559	-1.051570432	1.595799607	0.4157420443
-75	25	1.91507563957303	-1.186627252	1.486487204	0.4519304101
-75	20	1.99222456776097	-1.315416001	1.360757387	0.4864392515
-75	15	2.06997047547081	-1.435656563	1.218657613	0.5186576129
-75	10	2.14758752495516	-1.544961669	1.060581917	0.5479458278
-75	5	2.22433044174083	-1.640907146	0.8873051050	0.5736543409
-75	-2.84217e-14	2.29943755432485	-1.721086120	0.7000000000	0.5951382321
-75	-5	2.37213868245964	-1.783171853	0.5002483459	0.6117740543
-75	-10	2.44165497920560	-1.824976647	0.2900438877	0.6229756149
-75	-15	2.50720768526569	-1.844522817	0.07178700443	0.6282129956
-75	-20	2.56802558835227	-1.840115076	-0.1517322323	0.6270319447
-75	-25	2.62335039494778	-1.810412276	-0.3773629380	0.6190731036
-75	-30	2.67244443162537	-1.754500908	-0.6016367063	0.6040916977
-75	-35	2.71459678917983	-1.671964242	-0.8208257353	0.5819760648
-75	-40	2.74913666243221	-1.562951011	-1.031021433	0.5527660575
-75	-45	2.77545721552834	-1.428239438	-1.228239438	0.5166702002

-70	45	1.62512124292860	-0.6128685291	1.812868529	0.4050510192
-70	40	1.69221231241380	-0.7486824038	1.747768944	0.4544832270
-70	35	1.76187052245693	-0.8830764389	1.668440548	0.5033986555
-70	30	1.83358901638073	-1.014479868	1.574385359	0.5512255923
-70	25	1.90683000084873	-1.141188317	1.465298681	0.5973436961
-70	20	1.98102694441356	-1.261383535	1.341091178	0.6410911779
-70	15	2.05561036442207	-1.373176352	1.201916091	0.6817804357
-70	10	2.12998534999883	-1.474609362	1.048176907	0.7186990322
-70	5	2.20355653191766	-1.563703388	0.8805506513	0.7511266056
-70	-2.84217e-14	2.27571564859551	-1.638473202	0.7000000000	0.7783405923
-70	-5	2.34584107397487	-1.696957556	0.5077911196	0.7996271562
-70	-10	2.41329523129235	-1.737252645	0.3055119961	0.8142933693
-70	-15	2.47742288839029	-1.757553303	0.09509041552	0.8216822047
-70	-20	2.53754652959473	-1.756199841	-0.1211895846	0.8211895846
-70	-25	2.59296572640912	-1.731738044	-0.3406765407	0.8122862185
-70	-30	2.64295780296386	-1.682989944	-0.5603498319	0.7945433614
-70	-35	2.68678289743496	-1.609136894	-0.7768335525	0.7676630495
-70	-40	2.72369955878999	-1.509816196	-0.9864360287	0.7315132716
-70	-45	2.75297701288628	-1.385214098	-1.185214098	0.6861618171

-65	45	1.62478909735103	-0.5911156380	1.791115638	0.5087955779
-65	40	1.69017092067238	-0.7192897563	1.723105585	0.5685641509
-65	35	1.75755379914269	-0.8449266146	1.641727754	0.6271495800
-65	30	1.82646453964043	-0.9666844453	1.546790659	0.6839261889
-65	25	1.89642762786977	-1.083170269	1.438244420	0.7382444204
-65	20	1.96698304906003	-1.192961406	1.316187560	0.7894408685
-65	15	2.03767993108869	-1.294606141	1.180863266	0.8368385868
-65	10	2.10808484816206	-1.386635029	1.032664658	0.8797523622
-65	5	2.17776074372410	-1.467546066	0.8721379758	0.9174817985
-65	-2.84217e-14	2.24627664212597	-1.535818013	0.7000000000	0.9493175299
-65	-5	2.31318083689627	-1.589894342	0.5171579371	0.9745337364
-65	-10	2.37799387684615	-1.628190690	0.3247425613	0.9923916167
-65	-15	2.44020449754095	-1.649113759	0.1241467039	1.002148204
-65	-20	2.49925603639650	-1.651083109	-0.08293022321	1.003066527
-65	-25	2.55453554627750	-1.632570032	-0.2944337374	0.9944337374
-65	-30	2.60536647924999	-1.592156955	-0.5079073811	0.9755888101
-65	-35	2.65100905642421	-1.528622189	-0.7204565490	0.9459620623
-65	-40	2.69066311816134	-1.441045096	-0.9287302245	0.9051241933
-65	-45	2.72347954849781	-1.328933447	-1.128933447	0.8528456727

-60	45	1.62444469678624	-0.5634486836	1.763448684	0.6139823838
-60	40	1.68771773835178	-0.6823862482	1.692139865	0.6826510187
-60	35	1.75234956434843	-0.7976366518	1.608614965	0.7491908702
-60	30	1.81791401476288	-0.9081501408	1.512995863	0.8129958629
-60	25	1.88402359156065	-1.012905417	1.405479382	0.8734763499
-60	20	1.95033878627117	-1.110911061	1.286323676	0.9300599346
-60	15	2.01655221295352	-1.201183659	1.155830788	0.9821788433
-60	10	2.08238197228719	-1.282730254	1.014343443	1.029259792
-60	5	2.14756486175127	-1.354530194	0.8622503681	1.070713507
-60	-2.84217e-14	2.21184105361052	-1.415510542	0.7000000000	1.105920527
-60	-5	2.27493402261130	-1.464519866	0.5281267825	1.134216073
-60	-10	2.33653685846294	-1.500312624	0.3472909145	1.154881032
-60	-15	2.39629627516773	-1.521539556	0.1583301086	1.167136407
-60	-20	2.45379820103235	-1.526750783	-0.03767695746	1.170145110
-60	-25	2.50854910495421	-1.514410832	-0.2393351975	1.163020636
-60	-30	2.55995893540190	-1.482935665	-0.4448484398	1.144848440
-60	-35	2.60732808222864	-1.430758880	-0.6519319225	1.114724159
-60	-40	2.64983879358073	-1.356431842	-0.8577312737	1.071811424
-60	-45	2.68655783725537	-1.258764950	-1.058764950	1.015423417

-55	45	1.62413977514542	-0.5291967071	1.729196707	0.7206512926
-55	40	1.68489795231994	-0.6374119958	1.654401986	0.7964244535
-55	35	1.74631680743646	-0.7408712102	1.568867375	0.8688673753
-55	30	1.80804688418268	-0.8388812100	1.473003427	0.9374947160
-55	25	1.86981231080439	-0.9308297944	1.367206891	1.001877808
-55	20	1.93139808235786	-1.016156351	1.251835782	1.061624106
-55	15	1.99264619629627	-1.094327490	1.127198764	1.116360127
-55	10	2.05343239018364	-1.164797058	0.9935486388	1.165703450
-55	5	2.11364737897472	-1.226969317	0.8510902375	1.209236934
-55	-2.84217e-14	2.17319574559007	-1.280177738	0.7000000000	1.246493871
-55	-5	2.23196823876055	-1.323644144	0.5404518111	1.276929376
-55	-10	2.28982170604481	-1.356447019	0.3726583022	1.299898197
-55	-15	2.34656735162261	-1.377501808	0.1969249067	1.314640919
-55	-20	2.40195133899065	-1.385542815	0.01371853997	1.320271293
-55	-25	2.45562809878659	-1.379111517	-0.1762440909	1.315768049
-55	-30	2.50713555758958	-1.356565069	-0.3718883426	1.299980857
-55	-35	2.55587053735440	-1.316111574	-0.5716550147	1.271655015
-55	-40	2.60106351006920	-1.255881319	-0.7733593669	1.229481336
-55	-45	2.64175758356904	-1.174048162	-0.9740481623	1.172181143

-50	45	1.62394976500177	-0.4875569846	1.687556985	0.8286587015
-50	40	1.68177597363251	-0.5837372406	1.609363519	0.9093635189
-50	35	1.73954429426714	-0.6743017106	1.522254910	0.9853561323
-50	30	1.79700828935360	-0.7589533433	1.426857052	1.056387286
-50	25	1.85401797822114	-0.8374890676	1.323681395	1.122286583
-50	20	1.91050007192373	-0.9097568046	1.213109514	1.182926415
-50	15	1.96642947528485	-0.9756078626	1.095387935	1.238182013
-50	10	2.02182368443664	-1.034868202	0.9706386758	1.287907342
-50	5	2.07671927142762	-1.087298412	0.8388706166	1.331901512
-50	-2.84217e-14	2.13116053593410	-1.132563686	0.7000000000	1.369883587
-50	-5	2.18518114503381	-1.170199053	0.5538765170	1.401463409
-50	-10	2.23878797977147	-1.199576727	0.4003187672	1.426114205
-50	-15	2.29195133119777	-1.219879328	0.2391597229	1.443150110
-50	-20	2.34458151863256	-1.230065232	0.07030775227	1.451697098
-50	-25	2.39649985207498	-1.228835637	-0.1061692973	1.450665346
-50	-30	2.44741166570443	-1.214614850	-0.2899333453	1.438732688
-50	-35	2.49686988068117	-1.185544071	-0.4802306647	1.414339409
-50	-40	2.54423237735920	-1.139504559	-0.6757076708	1.375707671
-50	-45	2.58861909860808	-1.074192088	-0.8741920879	1.320904000

-45	45	1.62398445123677	-0.4376078601	1.637607860	0.9376078601
-45	40	1.67845241919170	-0.5207011606	1.556469967	1.020701161
-45	35	1.73215277345984	-0.5976431696	1.468578022	1.097643170
-45	30	1.78497692767041	-0.6685416978	1.374657864	1.168541698
-45	25	1.83691061573961	-0.7335643448	1.275220501	1.233564345
-45	20	1.88801052361506	-0.7928927632	1.170574482	1.292892763
-45	15	1.93838212791486	-0.8466843747	1.060842991	1.346684375
-45	10	1.98816210363353	-0.8950413441	0.9459834282	1.395041344
-45	5	2.03750004455816	-0.9379810534	0.8258070405	1.437981053
-45	-2.84217e-14	2.08655260697775	-0.9754154977	0.7000000000	1.475415498
-45	-5	2.13547140869900	-1.007125084	0.5681436406	1.507125084
-45	-10	2.18439056673590	-1.032729724	0.4297383955	1.532729724
-45	-15	2.23342017586987	-1.051661053	0.2842336740	1.551661053
-45	-20	2.28262276105000	-1.063119703	0.1310709555	1.563119703
-45	-25	2.33199319604080	-1.066033553	-0.03025343892	1.566033553
-45	-30	2.38143168727158	-1.059012996	-0.2000965727	1.559012996
-45	-35	2.43070249355029	-1.040305238	-0.3785333385	1.540305238
-45	-40	2.47937463697239	-1.007758302	-0.5651594351	1.507758302
-45	-45	2.52675448306101	-0.9588223810	-0.7588223810	1.458822381


### -y patch
# N_rho = 10
# N_sigma = 19
# ghosted_gfn=-3
# dpx = 90 + dsigma = 90 + dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
-45	-90	2.80373899635857	-1.482542857	-1.282542857	2.427914764e-16
-40	-90	2.81680635481487	-1.310608224	-1.457798855	2.642541462e-16
-35	-90	2.82050324577908	-1.117774200	-1.610421000	2.829449682e-16
-30	-90	2.81477977953093	-0.9073898898	-1.737670795	2.985285737e-16
-25	-90	2.79972464779902	-0.6832147640	-1.837412250	3.107433790e-16
-20	-90	2.77553633727102	-0.4492893359	-1.908151015	3.194063792e-16
-15	-90	2.74253118775634	-0.2098193032	-1.949081704	3.244189429e-16
-10	-90	2.70114687246417	0.03095076799	-1.960110382	3.257695665e-16
-5	-90	2.65193051231864	0.2688690265	-1.941839116	3.235319817e-16
-2.84217e-14	-90	2.59553655480884	0.5000000000	-1.895536555	3.178615534e-16
5	-90	2.53271586553726	0.7207407324	-1.823078117	3.089879540e-16
10	-90	2.46430211674945	0.9279215718	-1.726863830	2.972051022e-16
15	-90	2.39119933744183	1.118887929	-1.609721196	2.828592669e-16
20	-90	2.31436773436311	1.291560384	-1.474794282	2.663354856e-16
25	-90	2.23479362630725	1.444464598	-1.325410866	2.480412934e-16
30	-90	2.15347152831548	1.576735764	-1.164961050	2.283918580e-16
35	-90	2.07138900253352	1.688099922	-0.9967825359	2.077959301e-16
40	-90	1.98949874019151	1.778825140	-0.8240444545	1.866416163e-16
45	-90	1.90869943907617	1.849654317	-0.6496543166	1.652849839e-16

-45	-85	2.80063325003608	-1.476568080	-1.276568080	0.1729272997
-40	-85	2.81311992221384	-1.304191221	-1.450151369	0.1881138696
-35	-85	2.81627478811205	-1.111216480	-1.601055604	0.2013162795
-30	-85	2.81007986835846	-0.9010242594	-1.726645200	0.2123039454
-25	-85	2.79464900403761	-0.6773743291	-1.824887397	0.2208990239
-20	-85	2.77020233198352	-0.4442792342	-1.894385874	0.2269793528
-15	-85	2.73707031057185	-0.2058898424	-1.934416756	0.2304816012
-10	-85	2.69569616771925	0.03362513022	-1.944943320	0.2314025562
-5	-85	2.64662596570803	0.2702024822	-1.926597648	0.2297975178
-2.84217e-14	-85	2.59050515008002	0.5000000000	-1.880647496	0.2257774004
5	-85	2.52806784525342	0.7195035201	-1.808936715	0.2195035201
10	-85	2.46012550433764	0.9256194468	-1.713807831	0.2111808211
15	-85	2.38755442835765	1.115749772	-1.598009433	0.2010497741
20	-85	2.31128664845004	1.287848585	-1.464596196	0.1893776283
25	-85	2.23227832872858	1.440449837	-1.316801183	0.1764472401
30	-85	2.15149638067260	1.572673648	-1.157925258	0.1625473978
35	-85	2.06990754802779	1.684212978	-0.9912314038	0.1479635752
40	-85	1.98844772784393	1.775288659	-0.8198298409	0.1329678816
45	-85	1.90800439369761	1.846588519	-0.6465885193	0.1178112299

-45	-80	2.79125875379727	-1.458553257	-1.258553257	0.3453457824
-40	-80	2.80202342266134	-1.284896757	-1.427157123	0.3750751930
-35	-80	2.80358003129585	-1.091551263	-1.572970764	0.4007860720
-30	-80	2.79600376944666	-0.8819819306	-1.693662919	0.4220673553
-25	-80	2.77947908978729	-0.6599406434	-1.787500737	0.4386134945
-20	-80	2.75428763559108	-0.4293509263	-1.853370685	0.4502281435
-15	-80	2.72079936734666	-0.1941978589	-1.890781680	0.4568247113
-10	-80	2.67947266848601	0.04157472911	-1.899858904	0.4584252709
-5	-80	2.63084850654081	0.2741640632	-1.881316569	0.4551557569
-2.84217e-14	-80	2.57554430058133	0.5000000000	-1.836415995	0.4472385743
5	-80	2.51424529955784	0.7158265446	-1.766908693	0.4349825615
10	-80	2.44769674094427	0.9187712212	-1.674969613	0.4187712212
15	-80	2.37669710293686	1.106401949	-1.563122885	0.3990496252
20	-80	2.30209245454955	1.276771361	-1.434161774	0.3763103020
25	-80	2.22475613516164	1.428441978	-1.291050246	0.3510758784
30	-80	2.14557527927532	1.560494374	-1.136830137	0.3238827121
35	-80	2.06545472415426	1.672528352	-0.9745440293	0.2952672928
40	-80	1.98527969518275	1.764628719	-0.8071258187	0.2657469452
45	-80	1.90590343236551	1.837322586	-0.6373225861	0.2358060538

-45	-75	2.77545730742123	-1.428239502	-1.228239502	0.5166702173
-40	-75	2.78341531472092	-1.252605329	-1.388673698	0.5596584305
-35	-75	2.78240255066989	-1.058813236	-1.526216016	0.5965127836
-30	-75	2.77263148827903	-0.8504336612	-1.639019713	0.6267384433
-25	-75	2.75439579015528	-0.6311809305	-1.725825334	0.6499979392
-20	-75	2.72806519729663	-0.4048122693	-1.785951279	0.6661086376
-15	-75	2.69406477504963	-0.1750324325	-1.819255335	0.6750324325
-10	-75	2.65287234038768	0.05458029888	-1.826100653	0.6768666300
-5	-75	2.60501397266323	0.2806385210	-1.807313179	0.6718325414
-2.84217e-14	-75	2.55105900737222	0.5000000000	-1.764133780	0.6602626563
5	-75	2.49161324954382	0.7098122979	-1.698165539	0.6425865194
10	-75	2.42731894017095	0.9075490782	-1.611325678	0.6193178488
15	-75	2.35885653616330	1.091041715	-1.505797711	0.5910417152
20	-75	2.28693853352075	1.258504616	-1.383974304	0.5583992319
25	-75	2.21231220902501	1.408556930	-1.248406624	0.5220739815
30	-75	2.13574110162944	1.540230801	-1.101732600	0.4827727951
35	-75	2.05802748163604	1.652989339	-0.9466394265	0.4412157046
40	-75	1.97997114586060	1.746708662	-0.7857695266	0.3981107448
45	-75	1.90236777100451	1.821663523	-0.6216635230	0.3541386736

-45	-70	2.75297700008191	-1.385214090	-1.185214090	0.6861618139
-40	-70	2.75714209915025	-1.207142683	-1.334493425	0.7404950487
-35	-70	2.75272756376692	-1.013081102	-1.460903760	0.7865046476
-30	-70	2.74010459392983	-0.8066763156	-1.563229768	0.8237482688
-25	-70	2.71970263925536	-0.5915418995	-1.640819158	0.8519884971
-20	-70	2.69198534552923	-0.3711683912	-1.693515483	0.8711683912
-15	-70	2.65743424919249	-0.1488627577	-1.721588779	0.8813862352
-10	-70	2.61653859790523	0.07228892870	-1.725670023	0.8828716864
-5	-70	2.56979347201201	0.2894413515	-1.706696365	0.8759658397
-2.84217e-14	-70	2.51769794114368	0.5000000000	-1.665862177	0.8611034107
5	-70	2.46075589684447	0.7016245436	-1.604579078	0.8387981871
10	-70	2.39948250825548	0.8922301146	-1.524447518	0.8096326843
15	-70	2.33440704788416	1.069989566	-1.427230021	0.7742484090
20	-70	2.26608455850977	1.233340262	-1.314835811	0.7333402622
25	-70	2.19509844981093	1.380994083	-1.189297907	0.6876482018
30	-70	2.12206049368962	1.511949031	-1.052747136	0.6379477856
35	-70	2.04762893753280	1.625512270	-0.9073981050	0.5850450648
40	-70	1.97248467815694	1.721305491	-0.7554952067	0.5297569313
45	-70	1.89734319924137	1.799283696	-0.5992836962	0.4729005913

-45	-65	2.72347954898606	-1.328933448	-1.128933448	0.8528456729
-40	-65	2.72302228864473	-1.148318094	-1.264389011	0.9160096393
-35	-65	2.71456089547181	-0.9545087246	-1.377253736	0.9686393250
-30	-65	2.69864099349961	-0.7511515753	-1.467058096	1.010515786
-25	-65	2.67582630777358	-0.5416500016	-1.533825637	1.041650002
-20	-65	2.64666415579478	-0.3291080738	-1.577955711	1.062228193
-15	-65	2.61166992293475	-0.1163166796	-1.600125162	1.072565978
-10	-65	2.57132236502402	0.09423451247	-1.601210432	1.073072048
-5	-65	2.52606519917749	0.3003307979	-1.582229423	1.064221058
-2.84217e-14	-65	2.47631021169069	0.5000000000	-1.544299228	1.046533917
5	-65	2.42244337056826	0.6914785632	-1.488609992	1.020565600
10	-65	2.36483560495184	0.8731810080	-1.416414666	0.9869003667
15	-65	2.30385648273842	1.043677118	-1.329030629	0.9461525207
20	-65	2.23989033253099	1.201679945	-1.227849804	0.8989711276
25	-65	2.17333468617553	1.346039249	-1.114337024	0.8460392488
30	-65	2.10463072991817	1.475754856	-0.9900569858	0.7880865152
35	-65	2.03426250473588	1.589993069	-0.8566714288	0.7258878085
40	-65	1.96277152002186	1.688118006	-0.7159439019	0.6602654850
45	-65	1.89076259680554	1.769728262	-0.5697282622	0.5920840124

-45	-60	2.68655811261862	-1.258765130	-1.058765130	1.015423521
-40	-60	2.68086528185048	-1.075970470	-1.178168470	1.084361072
-35	-60	2.66795887712554	-0.8833697410	-1.275656738	1.140645950
-30	-60	2.64856170536904	-0.6844728032	-1.351567075	1.184472803
-25	-60	2.62333579889872	-0.4823174862	-1.406586647	1.216238368
-20	-60	2.59287426765732	-0.2794869195	-1.441622710	1.236466448
-15	-60	2.55769572349766	-0.07815336909	-1.457697748	1.245747376
-10	-60	2.51823872513906	0.1198623298	-1.455867858	1.244690888
-5	-60	2.47487123388930	0.3130213546	-1.437175697	1.233898964
-2.84217e-14	-60	2.42790049340503	0.5000000000	-1.402623505	1.213950247
5	-60	2.37758529371360	0.6796286091	-1.353164398	1.185395018
10	-60	2.32415641281624	0.8508402103	-1.289713706	1.148761744
15	-60	2.26782720968328	1.012630150	-1.213161764	1.104564460
20	-60	2.20880294792101	1.164024873	-1.124393344	1.053313988
25	-60	2.14730346507146	1.304065474	-1.024323973	0.9955389100
30	-60	2.08358374578533	1.431806978	-0.9139370296	0.9318069785
35	-60	2.01795362643192	1.546333963	-0.7943197639	0.8627459180
40	-60	1.95078783855103	1.646787960	-0.6666886713	0.7890580723
45	-60	1.88254463381537	1.732414755	-0.5324147548	0.7115349904

-45	-55	2.64175746797440	-1.174048089	-0.9740480890	1.172181091
-40	-55	2.63049447503291	-0.9900303892	-1.075749069	1.243392884
-35	-55	2.61306418571913	-0.8001113033	-1.156751366	1.300111303
-30	-55	2.59030352298022	-0.6074455634	-1.218151982	1.343104478
-25	-55	2.56292827525823	-0.4145321141	-1.261220448	1.373261342
-20	-55	2.53152817416233	-0.2233039335	-1.287261225	1.391495290
-15	-55	2.49657308348028	-0.03523447177	-1.297522243	1.398680132
-10	-55	2.45842651335577	0.1485553847	-1.293141458	1.395612673
-5	-55	2.41736043330225	0.3271993874	-1.275120040	1.382993941
-2.84217e-14	-55	2.37357035141907	0.5000000000	-1.244315006	1.361424024
5	-55	2.32719254280947	0.6663551250	-1.201447780	1.331408069
10	-55	2.27832075991095	0.8256975788	-1.147122757	1.293369279
15	-55	2.22702309524778	0.9774462794	-1.081853773	1.247667444
20	-55	2.17334743190888	1.120965140	-1.006087700	1.194615468
25	-55	2.11734732600135	1.255535044	-0.9202501298	1.134511355
30	-55	2.05910945038147	1.380341475	-0.8247961636	1.067673768
35	-55	1.99875824814856	1.494467800	-0.7202472058	0.9944677996
40	-55	1.93649316982682	1.596916834	-0.6072545778	0.9153495097
45	-55	1.87260543560007	1.686646234	-0.4866462342	0.8308986384

-45	-50	2.58861902621636	-1.074192044	-0.8741920439	1.320903963
-40	-50	2.57180547877573	-0.8906168935	-0.9572726787	1.390616893
-35	-50	2.55011881420068	-0.7054005884	-1.021490448	1.444502000
-30	-50	2.52443592516822	-0.5210882523	-1.068576732	1.484012084
-25	-50	2.49544362838740	-0.3394534365	-1.100213704	1.510558655
-20	-50	2.46365944224962	-0.1616734114	-1.117932757	1.525426706
-15	-50	2.42945871038911	0.01151125680	-1.123064809	1.529733008
-10	-50	2.39310058656992	0.1796626834	-1.116723200	1.524411767
-5	-50	2.35474715549812	0.3425376053	-1.099803407	1.510214375
-2.84217e-14	-50	2.31448022181907	0.5000000000	-1.072994713	1.487719209
5	-50	2.27232202816035	0.6519506106	-1.036803426	1.457351114
10	-50	2.22825031016043	0.7982706741	-0.9915770514	1.419401680
15	-50	2.18220592718572	0.9387738825	-0.9375264226	1.374047817
20	-50	2.13411021789868	1.073165253	-0.8747585911	1.321379353
25	-50	2.08388348132599	1.201006879	-0.8033141033	1.261430310
30	-50	2.03144992294642	1.321684413	-0.7231991512	1.194205883
35	-50	1.97677302651616	1.434389157	-0.6344460122	1.119733157
40	-50	1.91987535166961	1.538107711	-0.5371685935	1.038107711
45	-50	1.86086719278277	1.631631306	-0.4316313061	0.9495514116

-45	-45	2.52675425697474	-0.9588222504	-0.7588222504	1.458822250
-40	-45	2.50482865689425	-0.7781479496	-0.8232374108	1.523237411
-35	-45	2.47953753005871	-0.6002020598	-0.8712513788	1.571251379
-30	-45	2.45168279634955	-0.4266489961	-0.9050031420	1.605003142
-25	-45	2.42183489455051	-0.2583869727	-0.9263661113	1.626366111
-20	-45	2.39037811195496	-0.09578637275	-0.9369096060	1.636909606
-15	-45	2.35755358723144	0.06112539691	-0.9379023169	1.637902317
-10	-45	2.32349303398537	0.2125280777	-0.9303342867	1.630334287
-5	-45	2.28824370281679	0.3587105953	-0.9149452851	1.614945285
-2.84217e-14	-45	2.25178191894389	0.5000000000	-0.8922502646	1.592250265
5	-45	2.21403247947485	0.6367071744	-0.8625701534	1.562570153
10	-45	2.17488071634841	0.7690850074	-0.8260569107	1.526056911
15	-45	2.13417389622883	0.8972909573	-0.7827100382	1.482710038
20	-45	2.09173641899477	1.021351851	-0.7324024389	1.432402439
25	-45	2.04738065636808	1.141128271	-0.6749040135	1.374904013
30	-45	2.00091373542060	1.256274306	-0.6099055217	1.309905522
35	-45	1.95215745257955	1.366196871	-0.5370573350	1.237057335
40	-45	1.90096768803433	1.470013636	-0.4560172354	1.156017235
45	-45	1.84727515154407	1.566524806	-0.3665248060	1.066524806