path: root/test/Kerr-definition-expansion-product-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	2.50556198434938	-0.9465868861	-0.7465868861	1.446586886
-40	-45	2.48352269857057	-0.7672760814	-0.8102808229	1.510280823
-35	-45	2.45812325717176	-0.5907002770	-0.8576814265	1.557681427
-30	-45	2.43016689212804	-0.4185167487	-0.8909176764	1.590917676
-25	-45	2.40022545624102	-0.2516200719	-0.9118544457	1.611854446
-20	-45	2.36868378480703	-0.09037920122	-0.9220535243	1.622053524
-15	-45	2.33578237644220	0.06517825557	-0.9227768424	1.622776842
-10	-45	2.30165229303616	0.2152303022	-0.9150092101	1.615009210
-5	-45	2.26634073984727	0.3600630110	-0.8994871034	1.599487103
0	-45	2.22982400230381	0.5000000000	-0.8767236729	1.576723673
5	-45	2.19202580942447	0.6353483553	-0.8470387797	1.547038780
10	-45	2.15283125601370	0.7663569593	-0.8105853811	1.510585381
15	-45	2.11208705103656	0.8931793412	-0.7673652778	1.467365278
20	-45	2.06961882554952	1.015839183	-0.7172565082	1.417256508
25	-45	2.02523943076298	1.134194843	-0.6600352299	1.360035230
30	-45	1.97875712328969	1.247899893	-0.5954006142	1.295400614
35	-45	1.92999331747566	1.356362365	-0.5230122046	1.223012205
40	-45	1.87880619126657	1.458705209	-0.4425403771	1.142540377
45	-45	1.82512867195213	1.553738530	-0.3537385301	1.053738530

-45	-40	2.45801721449104	-0.9947704176	-0.5542613061	1.494770418
-40	-40	2.43443477747442	-0.8163383295	-0.6163383295	1.568750933
-35	-40	2.40734788405750	-0.6379150413	-0.6636301230	1.625111098
-30	-40	2.37753858364553	-0.4616709590	-0.6976571764	1.665662961
-25	-40	2.34559241398231	-0.2890443167	-0.7198497140	1.692110998
-20	-40	2.31193031229420	-0.1209230020	-0.7314804149	1.705971927
-15	-40	2.27683994763738	0.04219815314	-0.7336350760	1.708539752
-10	-40	2.24050488650344	0.2000889443	-0.7272078793	1.700880118
-5	-40	2.20302734818665	0.3526831380	-0.7129090512	1.683839438
0	-40	2.16443993754265	0.5000000000	-0.6912751738	1.658057187
5	-40	2.12472912909043	0.6420810450	-0.6626925786	1.623993776
10	-40	2.08384898705258	0.7789413017	-0.6274176332	1.581954733
15	-40	2.04172411746224	0.9105273507	-0.5855920388	1.532108931
20	-40	1.99826583497368	1.036681064	-0.5372684381	1.474519106
25	-40	1.95338691245578	1.157108555	-0.4824372523	1.409173843
30	-40	1.90700978380855	1.271350648	-0.4210526417	1.336018513
35	-40	1.85908900408753	1.378761792	-0.3530716330	1.255001902
40	-40	1.80962015823554	1.478490941	-0.2784909409	1.166120094
45	-40	1.75868031988827	1.569489384	-0.1974081475	1.069489384

-45	-35	2.40919466772829	-1.026676002	-0.3689900451	1.526676002
-40	-35	2.38353693241348	-0.8501425290	-0.4266599833	1.609037209
-35	-35	2.35437854188956	-0.6714041206	-0.4714041206	1.672938460
-30	-35	2.32247024322953	-0.4929374470	-0.5042296028	1.719818107
-25	-35	2.28840259236080	-0.3165728557	-0.5261657278	1.751146140
-20	-35	2.25262366774886	-0.1436158112	-0.5381909297	1.768319908
-15	-35	2.21546207376009	0.02503226097	-0.5411904968	1.772603734
-10	-35	2.17715000459662	0.1887652969	-0.5359361248	1.765099713
-5	-35	2.13784100266453	0.3471803254	-0.5230783265	1.746736874
0	-35	2.09762449011612	0.5000000000	-0.5031479798	1.718273389
5	-35	2.05654807521445	0.6470085976	-0.4765699016	1.680315960
10	-35	2.01463101025074	0.7880017835	-0.4436764755	1.633339279
15	-35	1.97186986450523	0.9227445743	-0.4047203948	1.577704230
20	-35	1.92825475008210	1.050937675	-0.3598963226	1.513688820
25	-35	1.88378012360450	1.172191038	-0.3093620039	1.441518334
30	-35	1.83845503404009	1.286003977	-0.2532617186	1.361398823
35	-35	1.79232615207354	1.391758994	-0.1917589940	1.273563830
40	-35	1.74547594528195	1.488716086	-0.1250587069	1.178305948
45	-35	1.69805306991634	1.576034621	-0.05344755325	1.076034621

-45	-30	2.35978900413548	-1.044844534	-0.1919164074	1.544844534
-40	-30	2.33161598834523	-0.8706611708	-0.2430961075	1.633490375
-35	-30	2.30006076535527	-0.6926100108	-0.2833566096	1.703223610
-30	-30	2.26584716061615	-0.5133176556	-0.3133176556	1.755117664
-25	-30	2.22956832779282	-0.3348698462	-0.3336787785	1.790384163
-20	-30	2.19169538965982	-0.1588818861	-0.3451558904	1.810263104
-15	-30	2.15259344241671	0.01341782387	-0.3484388769	1.815949403
-10	-30	2.11253913427377	0.1811042191	-0.3441655849	1.808547845
-5	-30	2.07173372336454	0.3434787394	-0.3329063021	1.789046195
0	-30	2.03031956243417	0.5000000000	-0.3151597812	1.758308319
5	-30	1.98839950236850	0.6502252887	-0.2913582783	1.717082906
10	-30	1.94604932891877	0.7937635144	-0.2618746005	1.666015679
15	-30	1.90332402269814	0.9302361638	-0.2270300937	1.605663222
20	-30	1.86027473662872	1.059248029	-0.1871110046	1.536521332
25	-30	1.81695569314892	1.180365567	-0.1423821410	1.459048668
30	-30	1.77343035191023	1.293102164	-0.09310216405	1.373693244
35	-30	1.72979505575504	1.396920173	-0.03954802713	1.280934758
40	-30	1.68617227571911	1.491231351	0.01797409276	1.181303523
45	-30	1.64272968204082	1.575419016	0.07910654143	1.075419016

-45	-25	2.31023110991084	-1.051419378	-0.02343873712	1.551419378
-40	-25	2.27921107428805	-0.8796673168	-0.06671400108	1.644223481
-35	-25	2.24502084797354	-0.7029210381	-0.1010929069	1.717949283
-30	-25	2.20836456247916	-0.5238482288	-0.1269300204	1.773357151
-25	-25	2.16983927116626	-0.3446785480	-0.1446785480	1.811418992
-20	-25	2.12993704171934	-0.1672353929	-0.1548418091	1.833214176
-15	-25	2.08905601661962	0.007012713825	-0.1579378233	1.839853599
-10	-25	2.04751250503949	0.1768939122	-0.1544741283	1.832425682
-5	-25	2.00555000348815	0.3414741753	-0.1449301098	1.811958468
0	-25	1.96335598957704	0.5000000000	-0.1297500955	1.779404822
5	-25	1.92107879656095	0.6518489193	-0.1093427318	1.735641089
10	-25	1.87883775555914	0.7964885027	-0.08408227029	1.681469855
15	-25	1.83672900048743	0.9334417259	-0.05431164516	1.617626543
20	-25	1.79484210959362	1.062261774	-0.02035278319	1.544801529
25	-25	1.75326630013272	1.182514347	0.01748565328	1.463656740
30	-25	1.71209056490404	1.293764273	0.05890155558	1.374840051
35	-25	1.67142540231160	1.395578668	0.1035836970	1.279018889
40	-25	1.63139416948691	1.487526448	0.1512080232	1.176888192
45	-25	1.59214859654330	1.569196140	0.2014256517	1.069196140

-45	-20	2.26075646134882	-1.048145856	0.1365209901	1.548145856
-40	-20	2.22667037658419	-0.8786899274	0.1019755495	1.643058674
-35	-20	2.18970527160253	-0.7036068185	0.07436112612	1.718928679
-30	-20	2.15055316558299	-0.5255363584	0.05348655998	1.776281078
-25	-20	2.10981676192412	-0.3467666144	0.03906759280	1.815896865
-20	-20	2.06800711911842	-0.1692393173	0.03076068266	1.838719913
-15	-20	2.02555043389443	0.005423608924	0.02818948514	1.845784220
-10	-20	1.98279575803784	0.1758833604	0.03096563676	1.838156806
-5	-20	1.94002085407049	0.3410424131	0.03870483564	1.816893532
0	-20	1.89744759612144	0.5000000000	0.05103470122	1.783017504
5	-20	1.85525657658992	0.6520123393	0.06759844609	1.737508989
10	-20	1.81359508583462	0.7964583430	0.08805727796	1.681298811
15	-20	1.77258189340682	0.9328093446	0.1120910867	1.615266464
20	-20	1.73232395259004	1.060607016	0.1393929843	1.540255117
25	-20	1.69291952312663	1.179446556	0.1696670366	1.457077842
30	-20	1.65445932924569	1.288963613	0.2026255526	1.366525063
35	-20	1.61704407875999	1.388834358	0.2379809102	1.269387016
40	-20	1.58077320533128	1.478769071	0.2754463537	1.166451557
45	-20	1.54576066607819	1.558523114	0.3147290942	1.058523114

-45	-15	2.21146360276939	-1.036406798	0.2883210392	1.536406798
-40	-15	2.17419990325833	-0.8690067441	0.2628358804	1.631518706
-35	-15	2.13441964527038	-0.6957872858	0.2424067579	1.707761229
-30	-15	2.09280836768761	-0.5193200496	0.2269319186	1.765514115
-25	-15	2.04997437975597	-0.3418876963	0.2162354201	1.805433991
-20	-15	2.00644362516020	-0.1654733954	0.2100888971	1.828373127
-15	-15	1.96266250641176	0.008229773032	0.2082297730	1.835311473
-10	-15	1.91900287982908	0.1777976550	0.2103763598	1.827300302
-5	-15	1.87576550768093	0.3420466453	0.2162404804	1.805415106
0	-15	1.83319319841095	0.5000000000	0.2255346869	1.770728655
5	-15	1.79148347714136	0.6508561832	0.2379767979	1.724294065
10	-15	1.75079527521232	0.7939601338	0.2532936585	1.667130763
15	-15	1.71125271546728	0.9287762840	0.2712237160	1.600214877
20	-15	1.67296207870601	1.054868196	0.2915147145	1.524487840
25	-15	1.63601110123142	1.171880405	0.3139248222	1.440852179
30	-15	1.60047402306039	1.279524435	0.3382214506	1.350175927
35	-15	1.56642432956272	1.377573584	0.3641779469	1.253304964
40	-15	1.53392722228610	1.465852638	0.3915748443	1.151058351
45	-15	1.50305187315576	1.544240164	0.4201966913	1.044240164

-45	-10	2.16235693575653	-1.017269301	0.4324644852	1.517269301
-40	-10	2.12190274064317	-0.8516579807	0.4159648726	1.610843254
-35	-10	2.07936229475606	-0.6804234762	0.4027445491	1.685819435
-30	-10	2.03541750525524	-0.5060466457	0.3927460210	1.742523905
-25	-10	1.99067871399306	-0.3307560783	0.3858625235	1.781562159
-20	-10	1.94567868595956	-0.1565103317	0.3819506825	1.803747312
-15	-10	1.90087283177647	0.01500214764	0.3808417067	1.810036627
-10	-10	1.85664224703509	0.1823510331	0.3823510331	1.801476811
-5	-10	1.81329622088891	0.3443439637	0.3862866821	1.779156637
0	-10	1.77108236252385	0.5000000000	0.3924547752	1.744175642
5	-10	1.73019917829887	0.6485228630	0.4006630695	1.697624092
10	-10	1.69080196841842	0.7892757069	0.4107242931	1.640564058
15	-10	1.65300574567050	0.9217558498	0.4224588179	1.574014260
20	-10	1.61690123665553	1.045574341	0.4356941110	1.498953183
25	-10	1.58255407596265	1.160436267	0.4502663085	1.416310144
30	-10	1.55001261903372	1.266125373	0.4660197264	1.326968072
35	-10	1.51931598805997	1.362493402	0.4828060265	1.231768233
40	-10	1.49049142419872	1.449447206	0.5004847661	1.131507119
45	-10	1.46356405260253	1.526944614	0.5189219569	1.026944614

-45	-5	2.11337354931454	-0.9915293528	0.5695080903	1.491529353
-40	-5	2.06980659925518	-0.8274680774	0.5615916351	1.582014850
-35	-5	2.02465015780678	-0.6583208123	0.5552715670	1.654253559
-30	-5	1.97858239628936	-0.4864637541	0.5505164021	1.708605342
-25	-5	1.93220768958864	-0.3140312894	0.5472714133	1.745695734
-20	-5	1.88605285426389	-0.1428990851	0.5454643362	1.766350719
-15	-5	1.84056692291358	0.02531818778	0.5450106269	1.771536641
-10	-5	1.79612358786577	0.1892576714	0.5458180880	1.762307319
-5	-5	1.75302333467751	0.3477909549	0.5477909549	1.739757347
0	-5	1.71150147878850	0.5000000000	0.5508328174	1.704988699
5	-5	1.67174198051647	0.6451516620	0.5548483380	1.659091088
10	-5	1.63388261806470	0.7826734713	0.5597450934	1.603120919
15	-5	1.59801831683353	0.9121285791	0.5654350168	1.538084796
20	-5	1.56421494123962	1.033194153	0.5718344538	1.464938896
25	-5	1.53251090780907	1.145640651	0.5788648724	1.384580844
30	-5	1.50292656195296	1.249315561	0.5864526086	1.297852623
35	-5	1.47546711287981	1.344128186	0.5945289178	1.205539986
40	-5	1.45012627939010	1.430036818	0.6030297771	1.108374719
45	-5	1.42689312485339	1.507040606	0.6118953633	1.007040606

-45	0	2.06440231945393	-0.9597528792	0.7000000000	1.459752879
-40	0	2.01788565971089	-0.7970718998	0.7000000000	1.545790096
-35	0	1.97034329165595	-0.6301424836	0.7000000000	1.614010735
-30	0	1.92244412060851	-0.4612220603	0.7000000000	1.664885446
-25	0	1.87477360214302	-0.2923135609	0.7000000000	1.699121915
-20	0	1.82783524427028	-0.1251564722	0.7000000000	1.717603291
-15	0	1.78205233613984	0.03877091604	0.7000000000	1.721330375
-10	0	1.73777157161911	0.1982391334	0.7000000000	1.711370917
-5	0	1.69526624038349	0.3522478117	0.7000000000	1.688815241
0	0	1.65474269981205	0.5000000000	0.7000000000	1.654742700
5	0	1.61635679628061	0.6408747771	0.7000000000	1.610206071
10	0	1.58021835730159	0.7744020381	0.7000000000	1.556211290
15	0	1.54639319251665	0.9002360094	0.7000000000	1.493701122
20	0	1.51492011979799	1.018133197	0.7000000000	1.423559258
25	0	1.48581033965535	1.127930583	0.7000000000	1.346601481
30	0	1.45905902056767	1.229529510	0.7000000000	1.263582177
35	0	1.43464384637028	1.322877905	0.7000000000	1.175191440
40	0	1.41253520783468	1.407960130	0.7000000000	1.082064747
45	0	1.39269653804374	1.484785166	0.7000000000	0.9847851662

-45	5	2.01530941466864	-0.9223198487	0.8244368627	1.422319849
-40	5	1.96608738357837	-0.7609478779	0.8314726410	1.502739164
-35	5	1.91647244119502	-0.5964313544	0.8369955458	1.565866253
-30	5	1.86710818915274	-0.4308859500	0.8410616259	1.612341761
-25	5	1.81854514691529	-0.2661457196	0.8437442939	1.643004798
-20	5	1.77124227325856	-0.1037635873	0.8451285417	1.658826823
-15	5	1.72557496194126	0.05497458970	0.8453061979	1.660857442
-10	5	1.68184196045245	0.2090292168	0.8443718077	1.650177313
-5	5	1.64027072152650	0.3575808802	0.8424191198	1.627857988
0	5	1.60102392573226	0.5000000000	0.8395384294	1.594931546
5	5	1.56421795020787	0.6358157167	0.8358157167	1.552380745
10	5	1.52992542637801	0.7646881277	0.8313310672	1.501120967
15	5	1.49818109549919	0.8863805812	0.8261579494	1.441991960
20	5	1.46899778425472	1.000737468	0.8203638313	1.375764888
25	5	1.44236374248987	1.107662014	0.8140095741	1.303135395
30	5	1.41825573623372	1.207101145	0.8071504379	1.224735109
35	5	1.39663502067012	1.299027627	0.7998359135	1.141129713
40	5	1.37746085694164	1.383432933	0.7921110721	1.052834372
45	5	1.36068500617500	1.460313726	0.7840165644	0.9603137255

-45	10	1.96594350332495	-0.8794511334	0.9432344534	1.379451133
-40	10	1.91434136208352	-0.7194408020	0.9562512326	1.453272957
-35	10	1.86304806020453	-0.5576250580	0.9663322273	1.510445118
-30	10	1.81265661266273	-0.3959425279	0.9736273788	1.551817979
-25	10	1.76365947745313	-0.2360157220	0.9783128858	1.578390809
-20	10	1.71644893739724	-0.07916369712	0.9805784002	1.591239180
-15	10	1.67132942718769	0.07356895778	0.9806177450	1.591462315
-10	10	1.62853110575526	0.2213780823	0.9786219177	1.580143416
-5	10	1.58821870059513	0.3636649518	0.9747732844	1.558316732
0	10	1.55049838917010	0.5000000000	0.9692412198	1.526942835
5	10	1.51543743423176	0.6300873964	0.9621816006	1.486905745
10	10	1.48306834606749	0.7537350040	0.9537350040	1.439002715
15	10	1.45339567886035	0.8708263757	0.9440264686	1.383942875
20	10	1.42640935583197	0.9812986266	0.9331672364	1.322357108
25	10	1.40208205606007	1.085121136	0.9212544474	1.254796325
30	10	1.38038090499518	1.182281436	0.9083737241	1.181746113
35	10	1.36126527269961	1.272770329	0.8945998172	1.103630405
40	10	1.34469507030179	1.356574521	0.8799991245	1.020825763
45	10	1.33062639210617	1.433665734	0.8646304599	0.9336657344

-45	15	1.91614870373533	-0.8312377790	1.056704088	1.331237779
-40	15	1.86257436199752	-0.6727886010	1.074505895	1.397675029
-35	15	1.81007201431917	-0.5140747654	1.088057111	1.448248855
-30	15	1.75915655260581	-0.3568121058	1.097647882	1.484042100
-25	15	1.71023092777200	-0.2023611564	1.103589993	1.506218361
-20	15	1.66359696145239	-0.05176208525	1.106198615	1.515953870
-15	15	1.61946592859316	0.09422207095	1.105777929	1.514383848
-10	15	1.57798105453025	0.2350555325	1.102613689	1.502574742
-5	15	1.53923069723644	0.3703853700	1.096967265	1.481502001
0	15	1.50325576583395	0.5000000000	1.089071222	1.452033568
5	15	1.47007019509388	0.6237908033	1.079130786	1.414935356
10	15	1.43966552734629	0.7417211636	1.067323199	1.370868840
15	15	1.41201870221854	0.8537993697	1.053799370	1.320397223
20	15	1.38710117746161	0.9600572470	1.038686948	1.263996898
25	15	1.36487883965476	1.060531250	1.022091849	1.202063145
30	15	1.34531937510806	1.155249202	1.004102213	1.134924909
35	15	1.32839392459429	1.244219427	0.9847912706	1.062855491
40	15	1.31407552318906	1.327420814	0.9642198026	0.9860817275
45	15	1.30234116147500	1.404797082	0.9424396474	0.9047970817

-45	20	1.86577560399392	-0.7776664886	1.165032571	1.277666489
-40	20	1.81072716056197	-0.6211499124	1.186313164	1.336134436
-35	20	1.75756072160916	-0.4660715969	1.202167266	1.379693225
-30	20	1.70668043036107	-0.3138663399	1.213073498	1.409657851
-25	20	1.65836897559953	-0.1655798305	1.219509475	1.427340553
-20	20	1.61280995394579	-0.02193042403	1.221930424	1.433992055
-15	20	1.57010490046854	0.1166292370	1.220753749	1.430759166
-10	20	1.53029580828848	0.2498510207	1.216351963	1.418665359
-5	20	1.49338584723278	0.3776379079	1.209050631	1.398605113
0	20	1.45934650294050	0.5000000000	1.199125900	1.371337140
5	20	1.42813738371448	0.6170158928	1.186809378	1.337497774
10	20	1.39971058884347	0.7288029368	1.172289936	1.297605936
15	20	1.37401886120034	0.8354926534	1.155718260	1.252075628
20	20	1.35102095154024	0.9372114249	1.137211425	1.201228518
25	20	1.33068381828962	1.034064688	1.116857082	1.145305420
30	20	1.31298668864949	1.126125226	1.094718696	1.084480704
35	20	1.29792137702056	1.213423418	1.070839893	1.018874232
40	20	1.28548829677792	1.295937192	1.045247972	0.9485610078
45	20	1.27570142487169	1.373588955	1.017960377	0.8735889549

-45	25	1.81468810175907	-0.7186409726	1.268261618	1.218640973
-40	25	1.75875949098418	-0.5646240777	1.291636967	1.268769569
-35	25	1.70554756496526	-0.4138619132	1.308592146	1.305130070
-30	25	1.65531008399070	-0.2674395461	1.319836790	1.329244286
-25	25	1.60817901319535	-0.1260345325	1.326034533	1.342535387
-20	25	1.56419636234876	0.009991537766	1.327784025	1.346287185
-15	25	1.52334048246706	0.1405134738	1.325608604	1.341621980
-10	25	1.48554477359589	0.2655747846	1.319952050	1.329491462
-5	25	1.45072416695952	0.3853295881	1.311184228	1.310688806
0	25	1.41878132263544	0.5000000000	1.299602896	1.285852561
5	25	1.38962412135049	0.6098408464	1.285443025	1.255486619
10	25	1.36316897915903	0.7151138002	1.268881813	1.219970984
15	25	1.33934898473470	0.8160671691	1.250046597	1.179578734
20	25	1.31811558792672	0.9129198915	1.229020479	1.134488078
25	25	1.29944402490304	1.005849676	1.205849676	1.084798131
30	25	1.28332961700795	1.094980909	1.180547372	1.030537164
35	25	1.26979284437967	1.180376990	1.153101378	0.9716790418
40	25	1.25887463096550	1.262030425	1.123478464	0.9081524970
45	25	1.25063726649004	1.339856620	1.091631573	0.8398566196

-45	30	1.76278226555298	-0.6540118808	1.366269070	1.154011881
-40	30	1.70666831349061	-0.5032801287	1.390316180	1.195662698
-35	30	1.65410207400141	-0.3576724242	1.407186624	1.224883163
-30	30	1.60515255549420	-0.2178460457	1.417846046	1.243345823
-25	30	1.55977762462770	-0.08406431838	1.423148517	1.252529973
-20	30	1.51786173226233	0.04369042082	1.423824186	1.253700265
-15	30	1.47925202389809	0.1656230319	1.420482233	1.247911834
-10	30	1.44377497248124	0.2820567014	1.413615248	1.236017867
-5	30	1.41126024742775	0.3933780773	1.403613397	1.218694153
0	30	1.38154685808159	0.5000000000	1.390773429	1.196454676
5	30	1.35449641923454	0.6023333668	1.375312600	1.169675734
10	30	1.32999545937350	0.7007678503	1.357377402	1.138611059
15	30	1.30796231611021	0.7956578504	1.337054130	1.103410120
20	30	1.28834468048281	0.8873106532	1.314374168	1.064127274
25	30	1.27112725915819	0.9759781551	1.289323618	1.020738448
30	30	1.25632688722143	1.061846464	1.261846464	0.9731466223
35	30	1.24399744576833	1.145028092	1.231852518	0.9211955841
40	30	1.23422766250109	1.225551695	1.199222561	0.8646788394
45	30	1.22713674704180	1.303349576	1.163814094	0.8033495759

-45	35	1.71000424998500	-0.5836079321	1.458750443	1.083607932
-40	35	1.65449793401704	-0.4371820485	1.482054849	1.116890073
-35	35	1.60332863507963	-0.2977246379	1.497724638	1.139268852
-30	35	1.55633768545073	-0.1653889205	1.506980377	1.152487417
-25	35	1.51328828376202	-0.03998808578	1.510846062	1.158008187
-20	35	1.47390343854156	0.07887881102	1.510154796	1.157020958
-15	35	1.43790057999257	0.1917318534	1.505569437	1.150472386
-10	35	1.40500827356679	0.2991468976	1.497602589	1.139094548
-5	35	1.37498050675413	0.4017120200	1.486638882	1.123436752
0	35	1.34760309733901	0.5000000000	1.472953382	1.103891832
5	35	1.32270010497806	0.5945508106	1.456728788	1.080720710
10	35	1.30013375290416	0.6858607545	1.438066862	1.054068718
15	35	1.27981064054080	0.7743756138	1.417001127	1.023983731
20	35	1.26167709516593	0.8604842383	1.393501164	0.9904223049
25	35	1.24572605566541	0.9445136035	1.367481588	0.9532624990
30	35	1.23199695311272	1.026721887	1.338805688	0.9123090700
35	35	1.22057616672106	1.107288898	1.307288898	0.8672984298
40	35	1.21160012240182	1.186304807	1.272704100	0.8179062189
45	35	1.20525215842840	1.263752955	1.234785576	0.7637529550

-45	40	1.65636878800727	-0.5072716539	1.545201273	1.007271654
-40	40	1.60236509128463	-0.3664247681	1.566424768	1.032564830
-35	40	1.55338989104144	-0.2342626854	1.579909905	1.048635791
-30	40	1.50903273732680	-0.1103761973	1.587098300	1.057202586
-25	40	1.46885372209071	0.005885730825	1.589136375	1.059631470
-20	40	1.43242368217546	0.1152890906	1.586915335	1.056984537
-15	40	1.39934300984613	0.2186355523	1.581110341	1.050066414
-10	40	1.36925838390537	0.3167128624	1.572221420	1.039473011
-5	40	1.34186358325649	0.4102693244	1.560602663	1.025626315
0	40	1.31690408836374	0.5000000000	1.546489631	1.008807059
5	40	1.29417602427374	0.5865417994	1.530018302	0.9891772932
10	40	1.27352443371170	0.6704723161	1.511238626	0.9667965473
15	40	1.25484734759221	0.7523108547	1.490127200	0.9416369291
20	40	1.23809094223942	0.8325183032	1.466590120	0.9135865296
25	40	1.22325443050688	0.9114960257	1.440468567	0.8824560748
30	40	1.21039294871246	0.9895818540	1.411540247	0.8479806456
35	40	1.19961911873784	1.067040870	1.379518227	0.8098182885
40	40	1.19111065300788	1.144052830	1.344052830	0.7675522736
45	40	1.18511415761011	1.220692098	1.304732474	0.7206920984

-45	45	1.60198637687266	-0.4249072659	1.624907266	0.9249072659
-40	45	1.55046618183450	-0.2911619686	1.642870118	0.9428701184
-35	45	1.50450591300252	-0.1675682398	1.653386251	0.9533862511
-30	45	1.46343713497283	-0.05312724550	1.658044492	0.9580444923
-25	45	1.42663011929135	0.05325703675	1.658043376	0.9580433764
-20	45	1.39352291644211	0.1526733743	1.654272061	0.9542720612
-15	45	1.36362501066530	0.2461519481	1.647373827	0.9473738270
-10	45	1.33652283589227	0.3346400083	1.637803115	0.9378031147
-5	45	1.31187026854051	0.4189975399	1.625862356	0.9258623556
0	45	1.28938776107503	0.5000000000	1.611734829	0.9117348294
5	45	1.26885516275587	0.5783464586	1.595504120	0.8955041196
10	45	1.25010730302203	0.6546683137	1.577167596	0.8771675957
15	45	1.23303566949328	0.7295379596	1.556647327	0.8566473275
20	45	1.21758431058195	0.8034750596	1.533790874	0.8337908735
25	45	1.20375285197975	0.8769499248	1.508371722	0.8083717223
30	45	1.19160329467903	0.9503837113	1.480087471	0.7800874709
35	45	1.18126487862437	1.024142118	1.448552521	0.7485525211
40	45	1.17294457198532	1.098522656	1.413291525	0.7132915251
45	45	1.16693949597854	1.173732832	1.373732832	0.6737328321


### +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	1.82512902525696	1.553738734	-0.3537387340	1.053738734
45	-40	1.75868049305193	1.569489489	-0.1974082359	1.069489489
45	-35	1.69805315112871	1.576034673	-0.05344758929	1.076034673
45	-30	1.64272984175137	1.575419121	0.07910648107	1.075419121
45	-25	1.59214863036466	1.569196163	0.2014256411	1.069196163
45	-20	1.54576073162581	1.558523159	0.3147290779	1.058523159
45	-15	1.50305190308551	1.544240185	0.4201966857	1.044240185
45	-10	1.46356408501623	1.526944636	0.5189219529	1.026944636
45	-5	1.42689314382702	1.507040619	0.6118953621	1.007040619
45	0	1.39269654904499	1.484785174	0.7000000000	0.9847851740
45	5	1.36068501189303	1.460313730	0.7840165648	0.9603137296
45	10	1.33062639781755	1.433665738	0.8646304606	0.9336657384
45	15	1.30234117700852	1.404797093	0.9424396503	0.9047970925
45	20	1.27570145051362	1.373588972	1.017960383	0.8735889725
45	25	1.25063727929492	1.339856628	1.091631577	0.8398566282
45	30	1.22713677064689	1.303349591	1.163814103	0.8033495914
45	35	1.20525216126907	1.263752957	1.234785578	0.7637529568
45	40	1.18511417631185	1.220692110	1.304732484	0.7206921098
45	45	1.16693958893248	1.173732886	1.373732886	0.6737328858

50	-45	1.83877686771068	1.618197729	-0.4181977287	0.9382793018
50	-40	1.76900250736343	1.639946061	-0.2565283190	0.9565283190
50	-35	1.70460137147019	1.650713042	-0.1057379463	0.9655628891
50	-30	1.64530505038789	1.652672643	0.03450413944	0.9672071894
50	-25	1.59074623805658	1.647564764	0.1648817625	0.9629211698
50	-20	1.54051788627511	1.636747182	0.2862578619	0.9538441411
50	-15	1.49420684110905	1.621252194	0.3995613802	0.9408423022
50	-10	1.45142701996588	1.601851362	0.5057138762	0.9245630713
50	-5	1.41182229998612	1.579097847	0.6055911716	0.9054706052
50	0	1.37508556109023	1.553376653	0.7000000000	0.8838879609
50	5	1.34095235677027	1.524929838	0.7896697417	0.8600182488
50	10	1.30921072235568	1.493887807	0.8752492361	0.8339708920
50	15	1.27969786336479	1.460284746	0.9573075222	0.8057745761
50	20	1.25230125065673	1.424072307	1.036334814	0.7753887322
50	25	1.22696615198299	1.385133712	1.112744628	0.7427153710
50	30	1.20369298822916	1.343286768	1.186871842	0.7076016157
50	35	1.18254325413457	1.298291007	1.258969381	0.6698456894
50	40	1.16364778202168	1.249855186	1.329203210	0.6292032104
50	45	1.14720707885657	1.197640030	1.397640030	0.5853894922

55	-45	1.85056685296275	1.672680665	-0.4726806648	0.8211198414
55	-40	1.77816811141965	1.700375214	-0.3072343996	0.8405117737
55	-35	1.71063698581795	1.715518386	-0.1511151365	0.8511151365
55	-30	1.64793186720999	1.720314048	-0.004548644181	0.8544730955
55	-25	1.58987931389343	1.716617667	0.1326818647	0.8518848618
55	-20	1.53622229725340	1.705941547	0.2610731725	0.8444093621
55	-15	1.48666604497352	1.689489910	0.3812771392	0.8328898015
55	-10	1.44091113150656	1.668202384	0.4940144008	0.8179841152
55	-5	1.39866467762560	1.642788058	0.6000190002	0.8001888125
55	0	1.35966463578489	1.613772066	0.7000000000	0.7798715964
55	5	1.32367842053921	1.581520049	0.7946207437	0.7572884912
55	10	1.29051716426716	1.546272178	0.8844860141	0.7326076658
55	15	1.26003287330177	1.508159428	0.9701355045	0.7059208309
55	20	1.23212296644819	1.467222178	1.052040083	0.6772562604
55	25	1.20673659555280	1.423426734	1.130600958	0.6465903600
55	30	1.18387085144947	1.376671093	1.206146292	0.6138517078
55	35	1.16357727807099	1.326797027	1.278929511	0.5789295111
55	40	1.14596392936033	1.273597664	1.349125515	0.5416789159
55	45	1.13119335311707	1.216822833	1.416822833	0.5019247509

60	-45	1.86055222766545	1.718017345	-0.5180173454	0.7032226422
60	-40	1.78611756956905	1.751323491	-0.3499850796	0.7224519543
60	-35	1.71603873657363	1.770748032	-0.1897873513	0.7336667184
60	-30	1.65046890191924	1.778447714	-0.03811213189	0.7381121319
60	-25	1.58941078050164	1.776325939	0.1048394403	0.7368871246
60	-20	1.53275721093041	1.766003405	0.2392124440	0.7309274068
60	-15	1.48033824273478	1.748828179	0.3653774980	0.7210112853
60	-10	1.43194918024261	1.725893789	0.4838418495	0.7077701090
60	-5	1.38736980329692	1.698063554	0.5951830209	0.6917023153
60	0	1.34639061595009	1.666008477	0.7000000000	0.6731953080
60	5	1.30881456945005	1.630227161	0.7988820638	0.6525369558
60	10	1.27447612341258	1.591080874	0.8923869963	0.6299358366
60	15	1.24323912423390	1.548808986	0.9810275209	0.6055301505
60	20	1.21500389569543	1.503550372	1.065262464	0.5794000774
60	25	1.18971312124933	1.455361405	1.145492340	0.5515781645
60	30	1.16734861432230	1.404224348	1.222054171	0.5220541710
60	35	1.14793881262590	1.350062971	1.295220500	0.4907840853
60	40	1.13155602030375	1.292748839	1.365195258	0.4576937555
60	45	1.11831353925219	1.232108063	1.432108063	0.4226827875

65	-45	1.86881109008249	1.754986883	-0.5549868830	0.5852099944
65	-40	1.79282410401039	1.793343790	-0.3852442975	0.6030961141
65	-35	1.72071521839722	1.816736759	-0.2219890045	0.6140044345
65	-30	1.65279511414250	1.827224719	-0.06627354871	0.6188950505
65	-25	1.58921749148744	1.826705984	0.08134683937	0.6186531606
65	-20	1.53001489674181	1.816867561	0.2206994053	0.6140654285
65	-15	1.47513923441217	1.799170634	0.3518882777	0.6058132160
65	-10	1.42448128734156	1.774842565	0.4752108596	0.5944688510
65	-5	1.37789621484868	1.744890783	0.5910861692	0.5805021057
65	0	1.33522912444333	1.710128553	0.7000000000	0.5642922116
65	5	1.29631972050224	1.671188697	0.8024657338	0.5461342584
65	10	1.26102437518818	1.628556453	0.8989949519	0.5262545167
65	15	1.22921515031795	1.582582708	0.9900771622	0.5048166072
65	20	1.20079079388888	1.533507875	1.076166103	0.4819326367
65	25	1.17568064244707	1.481478339	1.157670866	0.4576708658
65	30	1.15384337478241	1.426557343	1.234948131	0.4320607845
65	35	1.13527584496953	1.368743079	1.308300453	0.4051015507
65	40	1.12000810645281	1.307974149	1.377970810	0.3767645332
65	45	1.10810100266010	1.244137399	1.444137399	0.3469969678

70	-45	1.87542556393696	1.784274695	-0.5842746951	0.4674377616
70	-40	1.79828411940449	1.826952724	-0.4134455410	0.4829712937
70	-35	1.72460473217538	1.853822623	-0.2479568058	0.4927511371
70	-30	1.65481663706295	1.866820187	-0.08913400283	0.4974818636
70	-25	1.58919802492102	1.867805851	0.06218165700	0.4978406159
70	-20	1.52790327388856	1.858499276	0.2055467002	0.4944532998
70	-15	1.47099454932296	1.840444790	0.3408289010	0.4878820043
70	-10	1.41845133753211	1.814979604	0.4681336168	0.4786134344
70	-5	1.37020178058049	1.783239171	0.5877311200	0.4670608616
70	0	1.32614371921245	1.746167467	0.7000000000	0.4535678649
70	5	1.28615181132737	1.704523602	0.8053821601	0.4384107375
70	10	1.25010183934328	1.658910692	0.9043472232	0.4218089960
70	15	1.21787081624384	1.609785615	0.9973661593	0.4039289303
70	20	1.18935183008644	1.557484219	1.084892779	0.3848927789
70	25	1.16445665631139	1.502235469	1.167350074	0.3647838783
70	30	1.14311744835137	1.444174702	1.245119518	0.3436514873
70	35	1.12529701455268	1.383363316	1.318537653	0.3215179532
70	40	1.11098334044271	1.319793910	1.387888768	0.2983805815
70	45	1.10018906081121	1.253399654	1.453399654	0.2742150485

75	-45	1.88047755449975	1.806455370	-0.6064553697	0.3500636613
75	-40	1.80250855411773	1.852601671	-0.4349675635	0.3624285255
75	-35	1.72766408421364	1.882313804	-0.2679065457	0.3703898675
75	-30	1.65645891804826	1.897405346	-0.1067923526	0.3744336339
75	-25	1.58926771711985	1.899684789	0.04731626387	0.3750444089
75	-20	1.52634369995850	1.890881742	0.1937604467	0.3726856394
75	-15	1.46784044491464	1.872596868	0.3322137778	0.3677862222
75	-10	1.41381393813804	1.846252610	0.4626193420	0.3607272997
75	-5	1.36425547619478	1.813089208	0.5851195801	0.3518411929
75	0	1.31910925103492	1.774161693	0.7000000000	0.3414105967
75	5	1.27828055905701	1.730338772	0.8076406948	0.3296682803
75	10	1.24166115999570	1.682326424	0.9084760485	0.3168034105
75	15	1.20913059919039	1.630673895	1.002963157	0.3029631571
75	20	1.18057419455810	1.575799043	1.091558830	0.2882594848
75	25	1.15588643443303	1.518001337	1.174701819	0.2727726360
75	30	1.13497402501876	1.457475463	1.252798716	0.2565547772
75	35	1.11776814301607	1.394332612	1.326218437	0.2396357013
75	40	1.10421960588460	1.328605934	1.395282934	0.2220242909
75	45	1.09430019739646	1.260261331	1.460261331	0.2037114097

80	-45	1.88403262313987	1.821976411	-0.6219764113	0.2331001092
80	-40	1.80550989321643	1.870653507	-0.4501148519	0.2416831944
80	-35	1.72986403017193	1.902467674	-0.2820184376	0.2472928905
80	-30	1.65766686531521	1.919131029	-0.1193356818	0.2502310896
80	-25	1.58936126789016	1.922402255	0.03672293547	0.2508078950
80	-20	1.52527301216893	1.914008960	0.1853428275	0.2493279306
80	-15	1.46562357405911	1.895586441	0.3260537402	0.2460795434
80	-10	1.41052808451497	1.868617804	0.4586757548	0.2413242452
80	-5	1.36002680630137	1.834421089	0.5832532823	0.2352944417
80	0	1.31409978898220	1.794135660	0.7000000000	0.2281910336
80	5	1.27267620690732	1.748715071	0.8092484127	0.2201821583
80	10	1.23565985244077	1.698945340	0.9114064119	0.2114064119
80	15	1.20293126218100	1.645447295	1.006921678	0.2019732631
80	20	1.17436842445580	1.588701801	1.096255049	0.1919675014
80	25	1.14985075281862	1.529061383	1.179859203	0.1814512866
80	30	1.12926399534189	1.466764559	1.258161778	0.1704666758
80	35	1.11251403995811	1.401958160	1.331557903	0.1590395591
80	40	1.09952290436509	1.334703222	1.400399165	0.1471806989
80	45	1.09023172207478	1.264987082	1.464987082	0.1348878625

85	-45	1.88614540665741	1.831161374	-0.6311613740	0.1164615295
85	-40	1.80730510172544	1.881377135	-0.4591130444	0.1208548394
85	-35	1.73119051039016	1.914480449	-0.2904298727	0.1237510040
85	-30	1.65840625694550	1.932117154	-0.1268332242	0.1252940158
85	-25	1.58943578866708	1.936010885	0.03037712693	0.1256346732
85	-20	1.52464907091493	1.927884154	0.1802926701	0.1249236763
85	-15	1.46430929841607	1.909390522	0.3223549479	0.1233056931
85	-10	1.40856879526993	1.882049161	0.4563074443	0.1209136340
85	-5	1.35749879727862	1.847225938	0.5821330033	0.1178669967
85	0	1.31110206592731	1.806112927	0.7000000000	0.1142700744
85	5	1.26932268650894	1.759717099	0.8102109654	0.1102109654
85	10	1.23207203263601	1.708875366	0.9131573434	0.1057628902
85	15	1.19923082501524	1.654253790	1.009281371	0.1009841215
85	20	1.17067165200466	1.596372623	1.099047000	0.09592017550
85	25	1.14626408535986	1.535617617	1.182916426	0.09060480125
85	30	1.12588033007999	1.472254251	1.261331254	0.08506122506
85	35	1.10941004746508	1.406450684	1.334703602	0.07930415886
85	40	1.09675706077669	1.338284098	1.403403877	0.07334035535
85	45	1.08784370710222	1.267753917	1.467753917	0.06716976411

90	-45	1.88684432540869	1.834200418	-0.6342004175	0.000000000
90	-40	1.80790048886489	1.884932123	-0.4620960338	0.000000000
90	-35	1.73163160888605	1.918469572	-0.2932230873	0.000000000
90	-30	1.65865299643690	1.936435631	-0.1293264982	0.000000000
90	-25	1.58946155292379	1.940541383	0.02826452140	0.000000000
90	-20	1.52444206877533	1.932506963	0.1786101051	0.000000000
90	-15	1.46387180352316	1.913991581	0.3211220977	0.000000000
90	-10	1.40791575885867	1.886526355	0.4555179942	0.000000000
90	-5	1.35665576938240	1.851493285	0.5817596588	0.000000000
90	0	1.31010237129808	1.810102371	0.7000000000	0.000000000
90	5	1.26820470784685	1.763378806	0.8105313233	0.000000000
90	10	1.23087673366192	1.712176950	0.9137395017	0.000000000
90	15	1.19799917009539	1.657178338	1.010065001	0.000000000
90	20	1.16944267790762	1.598916655	1.099972952	0.000000000
90	25	1.14507334880469	1.537788893	1.183928908	0.000000000
90	30	1.12475868861964	1.474069597	1.262379344	0.000000000
90	35	1.10838277405839	1.407934015	1.335742242	0.000000000
90	40	1.09584322306540	1.339464612	1.404394446	0.000000000
90	45	1.08705603752174	1.268664696	1.468664696	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	1.16693963428989	1.173732912	1.373732912	0.6737329120
40	45	1.17294464250169	1.098522692	1.413291568	0.7132915680
35	45	1.18126491662455	1.024142135	1.448552545	0.7485525452
30	45	1.19160330603875	0.9503837156	1.480087478	0.7800874783
25	45	1.20375286360918	0.8769499284	1.508371730	0.8083717301
20	45	1.21758432698556	0.8034750637	1.533790885	0.8337908848
15	45	1.23303568226059	0.7295379620	1.556647336	0.8566473363
10	45	1.25010731362718	0.6546683150	1.577167603	0.8771676031
5	45	1.26885517057780	0.5783464591	1.595504125	0.8955041251
0	45	1.28938777120709	0.5000000000	1.611734837	0.9117348366
-5	45	1.31187028376530	0.4189975390	1.625862366	0.9258623663
-10	45	1.33652286203634	0.3346400050	1.637803133	0.9378031331
-15	45	1.36362504287016	0.2461519421	1.647373849	0.9473738494
-20	45	1.39352298728859	0.1526733567	1.654272110	0.9542721098
-25	45	1.42663019224091	0.05325701391	1.658043425	0.9580434254
-30	45	1.46343730861343	-0.05312731113	1.658044606	0.9580446059
-35	45	1.50450603842172	-0.1675682955	1.653386331	0.9533863305
-40	45	1.55046655184095	-0.2911621574	1.642870343	0.9428703434
-45	45	1.60198655364727	-0.4249073680	1.624907368	0.9249073680

45	50	1.14720712942913	1.197640061	1.397640061	0.5853895180
40	50	1.15104258832587	1.122387378	1.441732394	0.6223873779
35	50	1.15759328582346	1.047175928	1.481448210	0.6557129052
30	50	1.16658194095778	0.9718611011	1.517287401	0.6857855569
25	50	1.17780656734250	0.8962076158	1.549669974	0.7129577619
20	50	1.19113516815643	0.8199072310	1.578937893	0.7375164622
15	50	1.20649837884394	0.7425893777	1.605355883	0.7596837875
10	50	1.22388769514764	0.6638280072	1.629114799	0.7796198850
5	50	1.24335151098264	0.5831431544	1.650330603	0.7974220588
0	50	1.26499087980725	0.5000000000	1.669039234	0.8131204639
-5	50	1.28896430052937	0.4138067096	1.685193817	0.8266757689
-10	50	1.31548373349677	0.3239110668	1.698649965	0.8379668176
-15	50	1.34481780080224	0.2295988796	1.709150720	0.8467779969
-20	50	1.37729471384365	0.1300952655	1.716304905	0.8527810713
-25	50	1.41329828303151	0.02457427330	1.719553761	0.8555071849
-30	50	1.45327151976112	-0.08782180267	1.718137228	0.8543185725
-35	50	1.49770020825042	-0.2079390584	1.711041755	0.8483647639
-40	50	1.54710177097302	-0.3365429953	1.696953120	0.8365429953
-45	50	1.60198379527015	-0.4741990302	1.674199030	0.8174500470

45	55	1.13119338456498	1.216822852	1.416822852	0.5019247649
40	55	1.13301094255171	1.141788360	1.464853584	0.5355562451
35	55	1.13784905296162	1.066128618	1.508515457	0.5661286176
30	55	1.14546862702065	0.9897279943	1.548233768	0.5939396786
25	55	1.15569096817490	0.9123862983	1.584365271	0.6192392291
20	55	1.16839796832388	0.8338326845	1.617197763	0.6422287874
15	55	1.18352718109750	0.7537336278	1.646946791	0.6630592811
10	55	1.20107204002085	0.6716993771	1.673755556	0.6818309807
5	55	1.22107978876985	0.5872866672	1.697691171	0.6985908787
0	55	1.24364747234497	0.5000000000	1.718736369	0.7133268853
-5	55	1.26892666700460	0.4092930858	1.736784773	0.7259645139
-10	55	1.29711772463398	0.3145704021	1.751623507	0.7363547072
-15	55	1.32847197221796	0.2151919970	1.762917938	0.7442631525
-20	55	1.36328963642109	0.1104831988	1.770188616	0.7493541360
-25	55	1.40191320587142	-0.0002460116758	1.772781034	0.7511693669
-30	55	1.44472321616639	-0.1176698220	1.769835514	0.7491068916
-35	55	1.49211825808320	-0.2423927142	1.760246675	0.7423927142
-40	55	1.54449300668951	-0.3748703096	1.742629835	0.7300572697
-45	55	1.60220104016834	-0.5152944099	1.715294410	0.7109167993

45	60	1.11831355262302	1.232108072	1.432108072	0.4226827926
40	60	1.11832753471182	1.157418776	1.483481188	0.4523430746
35	60	1.12158708086487	1.081556801	1.530549186	0.4795177961
30	60	1.12790023599697	1.004412320	1.573667766	0.5044123199
25	60	1.13712246319089	0.9257995793	1.613130145	0.5271959348
20	60	1.14916053667033	0.8454682003	1.649166079	0.5480012914
15	60	1.16396940007742	0.7631090258	1.681936252	0.5669211596
10	60	1.18155257481158	0.6783598348	1.711528889	0.5840064761
5	60	1.20196249252169	0.5908092977	1.737955022	0.5992636116
0	60	1.22529580023705	0.5000000000	1.761137290	0.6126479001
-5	60	1.25169830900496	0.4054331187	1.780904400	0.6240604461
-10	60	1.28135693272559	0.3065743195	1.796971545	0.6333368170
-15	60	1.31450133693115	0.2028640390	1.808926503	0.6402390150
-20	60	1.35139691947692	0.09373416792	1.816206200	0.6444419500
-25	60	1.39233748933514	-0.02136575998	1.818072480	0.6455194475
-30	60	1.43763262645933	-0.1429288559	1.813585444	0.6429288559
-35	60	1.48759034360841	-0.2713340284	1.801579155	0.6359970218
-40	60	1.54248527980171	-0.4067636739	1.780638866	0.6239071402
-45	60	1.60252964381154	-0.5491019137	1.749101914	0.6056992723

45	65	1.10810101627038	1.244137408	1.444137408	0.3469969720
40	65	1.10656406359769	1.169832772	1.498275613	0.3722420316
35	65	1.10843193309812	1.093917020	1.548201408	0.3955228123
30	65	1.11356144672394	1.016272510	1.594210217	0.4169770723
25	65	1.12184712830714	0.9367144682	1.636537199	0.4367144682
20	65	1.13322715071003	0.8550007575	1.675356565	0.4548162357
15	65	1.14767983354544	0.7708359958	1.710773697	0.4713315155
10	65	1.16522470252468	0.6838773605	1.742820332	0.4862751068
5	65	1.18592403414326	0.5937396650	1.771449274	0.4996250019
0	65	1.20987704188518	0.5000000000	1.796520984	0.5113161324
-5	65	1.23722473835553	0.4022053443	1.817798029	0.5212377813
-10	65	1.26813994919036	0.2998821806	1.834924551	0.5292240096
-15	65	1.30282858652110	0.1925511216	1.847414835	0.5350483246
-20	65	1.34151811252387	0.07974890928	1.854630382	0.5384129896
-25	65	1.38445081196332	-0.03894125577	1.855763253	0.5389412558
-30	65	1.43186438345068	-0.1638450180	1.849813300	0.5361667471
-35	65	1.48397882691386	-0.2951415474	1.835579816	0.5295295646
-40	65	1.54095906806081	-0.4327836665	1.811648286	0.5183701088
-45	65	1.60289324871027	-0.5764116355	1.776411636	0.5019389890

45	70	1.10018906755735	1.253399658	1.453399658	0.2742150502
40	70	1.09737405100246	1.179462289	1.509751624	0.2947254882
35	70	1.09807301883837	1.103573545	1.561992355	0.3137395593
30	70	1.10218715009343	1.025601047	1.610367719	0.3313467518
25	70	1.10964947671306	0.9453534295	1.655063512	0.3476146901
20	70	1.12043035880663	0.8625887172	1.696204313	0.3625887172
15	70	1.13453381477353	0.7770178566	1.733844715	0.3762887033
10	70	1.15199817400381	0.6883107605	1.767963392	0.3887068861
5	70	1.17289816945047	0.5961026075	1.798457830	0.3998059537
0	70	1.19733779371716	0.5000000000	1.825129489	0.4095136438
-5	70	1.22545443344913	0.3995911414	1.847678505	0.4177208143
-10	70	1.25740759790568	0.2944585449	1.865683518	0.4242741030
-15	70	1.29337971282752	0.1841969176	1.878593149	0.4289728245
-20	70	1.33356100159948	0.06843888685	1.885704414	0.4315611132
-25	70	1.37814388950367	-0.05311260034	1.886153799	0.4317246762
-30	70	1.42729921524243	-0.1806375508	1.878898820	0.4290840796
-35	70	1.48116732375074	-0.3141475080	1.862723141	0.4231966139
-40	70	1.53981920004446	-0.4534115348	1.836231622	0.4135544896
-45	70	1.60324064208315	-0.5978848888	1.797884889	0.3995974202

45	75	1.09430020041645	1.260261333	1.460261333	0.2037114103
40	75	1.09048848142421	1.186636994	1.518302104	0.2192633880
35	75	1.09026228609492	1.110808555	1.572325021	0.2337387848
30	75	1.09355989862004	1.032627615	1.622538091	0.2471933365
25	75	1.10034821624205	0.9518932695	1.669088244	0.2596664123
20	75	1.11062655551539	0.8683594274	1.712059209	0.2711804478
15	75	1.12442315776107	0.7817386228	1.751462855	0.2817386228
10	75	1.14179479466560	0.6917083941	1.787232330	0.2913230249
5	75	1.16282889166424	0.5979188090	1.819217108	0.2998933202
0	75	1.18763449345063	0.5000000000	1.847166829	0.3073824255
-5	75	1.21634674577784	0.3975745912	1.870727780	0.3136955632
-10	75	1.24911371489291	0.2902726607	1.889422847	0.3187048912
-15	75	1.28609681360324	0.1777519722	1.902646012	0.3222480278
-20	75	1.32745324814720	0.05972606993	1.909642681	0.3241227796
-25	75	1.37333160823393	-0.06400265062	1.909507587	0.3240865813
-30	75	1.42384569667992	-0.1934961120	1.901170501	0.3218526657
-35	75	1.47906916731738	-0.3286337267	1.883411605	0.3170941839
-40	75	1.53899803781958	-0.4690455278	1.854863489	0.3094447393
-45	75	1.60353919242030	-0.6140533868	1.814053387	0.2985097053

45	80	1.09023172391427	1.264987084	1.464987084	0.1348878627
40	80	1.08570820001218	1.191599160	1.524215784	0.1453314806
35	80	1.08481401238574	1.115833004	1.579500677	0.1550796988
30	80	1.08751517698953	1.037526573	1.631023335	0.1641645336
25	80	1.09380465990709	0.9564698780	1.678902812	0.1726069773
20	80	1.10370460606955	0.8724116845	1.723192694	0.1804164784
15	80	1.11726286549496	0.7850638303	1.763872698	0.1875894607
10	80	1.13455154868287	0.6941080076	1.800841214	0.1941080076
5	80	1.15566893309567	0.5992043348	1.833910736	0.1999390564
0	80	1.18072879842385	0.5000000000	1.862790875	0.2050314042
-5	80	1.20986491098574	0.3961434021	1.887086346	0.2093153513
-10	80	1.24321652457709	0.2873007332	1.906277485	0.2126992668
-15	80	1.28092849602266	0.1731777322	1.919717308	0.2150690703
-20	80	1.32313216938064	0.05354913141	1.926613680	0.2162850868
-25	80	1.36994201882773	-0.07170835806	1.926032530	0.2161826143
-30	80	1.42142844402000	-0.2025700204	1.916886971	0.2145700055
-35	80	1.47761480657120	-0.3388202532	1.897959473	0.2112325768
-40	80	1.53844314852842	-0.4799925886	1.867909688	0.2059339891
-45	80	1.60376468354968	-0.6253197290	1.825319729	0.1984242302

45	85	1.08784370806429	1.267753918	1.467753918	0.06716976417
40	85	1.08289356930620	1.194512543	1.527687818	0.07241330102
35	85	1.08159623635735	1.118791067	1.583725229	0.07731593918
30	85	1.08393478949973	1.040418425	1.636032169	0.08189220347
25	85	1.08991853088605	0.9591782715	1.684710981	0.08615104768
20	85	1.09958415166052	0.8748153948	1.729796834	0.09009554868
15	85	1.11299219724419	0.7870404475	1.771249534	0.09372219002
10	85	1.13022488605739	0.6955370529	1.808945733	0.09702018010
5	85	1.15138756059010	0.5999710601	1.842674446	0.09997106010
0	85	1.17659723096132	0.5000000000	1.872119923	0.1025472056
-5	85	1.20598709119278	0.3952882486	1.896860795	0.1047117514
-10	85	1.23969088780984	0.2855245397	1.916350779	0.1064169040
-15	85	1.27784291792894	0.1704445872	1.929917544	0.1076038422
-20	85	1.32055807945256	0.04986119332	1.936746207	0.1082012728
-25	85	1.36792923877208	-0.07630305895	1.935885898	0.1081260055
-30	85	1.41999971073807	-0.2079706401	1.926241119	0.1072821966
-35	85	1.47676146432043	-0.3448686961	1.906597544	0.1055636066
-40	85	1.53812421128985	-0.4864741905	1.875634161	0.1028546615
-45	85	1.60390589399962	-0.6319687051	1.831968705	0.09903442916

45	90	1.08705603814422	1.268664696	1.468664696	0.000000000
40	90	1.08196371225957	1.195472868	1.528832289	0.000000000
35	90	1.08053153814965	1.119767429	1.585119618	0.000000000
30	90	1.08274835056561	1.041374175	1.637687577	0.000000000
25	90	1.08862900840503	0.9600744992	1.686632948	0.000000000
20	90	1.09821519328227	0.8756117178	1.731984713	0.000000000
15	90	1.11157183911784	0.7876959620	1.773695947	0.000000000
10	90	1.12878468748629	0.6960114040	1.811635912	0.000000000
5	90	1.14996154336154	0.6002257524	1.845585593	0.000000000
0	90	1.17522060421256	0.5000000000	1.875220604	0.000000000
-5	90	1.20469488063916	0.3950039229	1.900110653	0.000000000
-10	90	1.23851624490636	0.2849339111	1.919700400	0.000000000
-15	90	1.27681537128337	0.1695358648	1.933308943	0.000000000
-20	90	1.31970151993428	0.04863549700	1.940113780	0.000000000
-25	90	1.36726016538933	-0.07782911444	1.939158535	0.000000000
-30	90	1.41952541469202	-0.2097627073	1.929345070	0.000000000
-35	90	1.47647859982301	-0.3468733336	1.909460463	0.000000000
-40	90	1.53801865651334	-0.4886193359	1.878190645	0.000000000
-45	90	1.60395247812207	-0.6341656740	1.834165674	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	1.60395247156693	-0.6341656693	1.834165669	1.388952357e-16
-90	40	1.67398984958649	-0.7823506221	1.776019934	1.570426585e-16
-90	35	1.74771984593029	-0.9316482846	1.702450921	1.753263489e-16
-90	30	1.82461328788928	-1.080161459	1.612306644	1.935139673e-16
-90	25	1.90403646152207	-1.225643072	1.504680580	2.113303264e-16
-90	20	1.98523512177311	-1.365510794	1.378990401	2.284591823e-16
-90	15	2.06736771526447	-1.496923869	1.235074138	2.445526424e-16
-90	10	2.14952095887418	-1.616864906	1.073260397	2.592411831e-16
-90	5	2.23071877625896	-1.722230218	0.8944199518	2.721447123e-16
-90	-2.84217e-14	2.30997215495502	-1.809972155	0.7000000000	2.828900006e-16
-90	-5	2.38627996621973	-1.877199451	0.4920219971	2.911229698e-16
-90	-10	2.45864640233129	-1.921294039	0.2730605327	2.965229995e-16
-90	-15	2.52611988796076	-1.940044440	0.04619206278	2.988192613e-16
-90	-20	2.58780902478159	-1.931745045	-0.1850828136	2.978028785e-16
-90	-25	2.64289569553174	-1.895276949	-0.4169359848	2.933368249e-16
-90	-30	2.69064459397466	-1.830166571	-0.6453222970	2.853631033e-16
-90	-35	2.73041511959075	-1.736625127	-0.8661017741	2.739075803e-16
-90	-40	2.76167674476992	-1.615567124	-1.075171593	2.590822507e-16
-90	-45	2.78401358659058	-1.468594886	-1.268594886	2.410833426e-16

-85	45	1.60390588368679	-0.6319686978	1.831968698	0.09903442853
-85	40	1.67375697729749	-0.7793023246	1.773462109	0.1119244506
-85	35	1.74722932985302	-0.9275850702	1.699605828	0.1248975099
-85	30	1.82379381835871	-1.074937625	1.609290662	0.1377891880
-85	25	1.90282226187501	-1.219146820	1.501651327	0.1504058577
-85	20	1.98357060437900	-1.357679310	1.376139973	0.1625258801
-85	15	2.06521643614693	-1.487760696	1.232618873	0.1739065267
-85	10	2.14686770313679	-1.606447848	1.071423589	0.1842903070
-85	5	2.22757448701113	-1.710717337	0.8934127053	0.1934127053
-85	-2.84217e-14	2.30637503664376	-1.797598583	0.7000000000	0.2010138294
-85	-5	2.38229588950313	-1.864267887	0.4931533623	0.2068466377
-85	-10	2.45436588215241	-1.908156647	0.2753770093	0.2106864066
-85	-15	2.52165210099372	-1.927077786	0.04966646733	0.2123417918
-85	-20	2.58327538609342	-1.919322622	-0.1805614215	0.2116633028
-85	-25	2.63842260275593	-1.883741202	-0.4115567777	0.2085503320
-85	-30	2.68635691766208	-1.819804214	-0.6393395872	0.2029565703
-85	-35	2.72642757296713	-1.727645353	-0.8598140690	0.1948937148
-85	-40	2.75808471216306	-1.608086318	-1.068894452	0.1844336546
-85	-45	2.78088879410782	-1.462633281	-1.262633281	0.1717081628

-80	45	1.60376465297578	-0.6253197076	1.825319708	0.1984242264
-80	40	1.67305460275400	-0.7701000237	1.765740461	0.2239529024
-80	35	1.74575412029359	-0.9153503849	1.691039009	0.2495644600
-80	30	1.82133566948416	-1.059248132	1.600232329	0.2749375153
-80	25	1.89918824302467	-1.199682567	1.492574997	0.2996998952
-80	20	1.97859966599592	-1.334266806	1.367618519	0.3234307277
-80	15	2.05880328945330	-1.460420128	1.225292990	0.3456749622
-80	10	2.13896799767441	-1.575413965	1.065951478	0.3659514782
-80	5	2.21822303069572	-1.676459743	0.8904155541	0.3837685751
-80	-2.84217e-14	2.29568184937378	-1.760805284	0.7000000000	0.3986409696
-80	-5	2.37044945909305	-1.825820149	0.4965171036	0.4101048445
-80	-10	2.44162888117677	-1.869082045	0.2822669160	0.4177330840
-80	-15	2.50834324858061	-1.888478112	0.06000921881	0.4211531339
-80	-20	2.56975109591197	-1.882295527	-0.1670846612	0.4200629775
-80	-25	2.62505601479861	-1.849299477	-0.3954963374	0.4142448835
-80	-30	2.67351767231620	-1.788802392	-0.6214406771	0.4035776152
-80	-35	2.71445734657916	-1.700715556	-0.8409576221	0.3880455295
-80	-40	2.74727268301375	-1.585593079	-1.050020383	0.3677463306
-80	-45	2.77145656573068	-1.444658580	-1.244658580	0.3428957759

-75	45	1.60353913504659	-0.6140533470	1.814053347	0.2985096946
-75	40	1.67188995924794	-0.7545855319	1.752722257	0.3361651801
-75	35	1.74330501096349	-0.8948281979	1.676669219	0.3737430892
-75	30	1.81726316959220	-1.033061424	1.585113426	0.4107825706
-75	25	1.89318250677760	-1.167345740	1.477496087	0.4467639445
-75	20	1.97041016171476	-1.295537609	1.353522244	0.4811128523
-75	15	2.04826479375346	-1.415359295	1.213218976	0.5132189764
-75	10	2.12601321080307	-1.524418318	1.056959570	0.5424412534
-75	5	2.20290818673951	-1.620288331	0.8855011924	0.5681295460
-75	-2.84217e-14	2.27818036761524	-1.700553254	0.7000000000	0.5896364673
-75	-5	2.35105518219216	-1.762879088	0.5020237329	0.6063366241
-75	-10	2.42074964034820	-1.805070302	0.2935539133	0.6176417260
-75	-15	2.48648010499575	-1.825140185	0.07698056513	0.6230194349
-75	-20	2.54747047749718	-1.821384217	-0.1449147572	0.6220130262
-75	-25	2.60295867171483	-1.792453071	-0.3689884231	0.6142609491
-75	-30	2.65220321607218	-1.737425216	-0.5917780508	0.5995162798
-75	-35	2.69448911551517	-1.655875979	-0.8095606120	0.5776652276
-75	-40	2.72914464259484	-1.547949008	-1.018433257	0.5487462828
-75	-45	2.75555825447672	-1.414414703	-1.214414703	0.5129658735

-70	45	1.60324050455904	-0.5978847946	1.797884795	0.3995973859
-70	40	1.67026765031888	-0.7324894514	1.734181444	0.4485894744
-70	35	1.73989529541808	-0.8658257849	1.656361510	0.4971199309
-70	30	1.81161832413668	-0.9963328510	1.563908174	0.5446206183
-70	25	1.88489426819081	-1.122308465	1.456494861	0.5904719919
-70	20	1.95915639453600	-1.241937850	1.334013527	0.6340135273
-70	15	2.03383052832674	-1.353329461	1.196598133	0.6745567583
-70	10	2.10832003852441	-1.454524470	1.044635398	0.7113887291
-70	5	2.18202383529373	-1.543537307	0.8787863479	0.7437867525
-70	-2.84217e-14	2.25433116900093	-1.618378364	0.7000000000	0.7710266695
-70	-5	2.32461468477387	-1.677078342	0.5095303255	0.7923917141
-70	-10	2.39223411221485	-1.717727871	0.3089547405	0.8071869326
-70	-15	2.45652926956638	-1.738513979	0.1001919871	0.8147524573
-70	-20	2.51681926137169	-1.737770678	-0.1144819178	0.8144819178
-70	-25	2.57240002982599	-1.714037367	-0.3324225797	0.8058436992
-70	-30	2.62254510262389	-1.666129774	-0.5506156078	0.7884067611
-70	-35	2.66651199797753	-1.593224145	-0.7656913257	0.7618712825
-70	-40	2.70355631657196	-1.494952510	-0.9739639154	0.7261033324
-70	-45	2.73294245331946	-1.371494611	-1.171494611	0.6811683319

-65	45	1.60289306042603	-0.5764115091	1.776411509	0.5019389300
-65	40	1.66820583382280	-0.7034441367	1.709809531	0.5611752171
-65	35	1.73555143993863	-0.8280898279	1.629938509	0.6192984575
-65	30	1.80445585324415	-0.9490110674	1.536586930	0.6756849575
-65	25	1.87444069553200	-1.064815201	1.429685312	0.7296853117
-65	20	1.94504527206302	-1.174079794	1.309315215	0.7806362285
-65	15	2.01581473081066	-1.275349229	1.175703392	0.8278589414
-65	10	2.08631332002623	-1.367150554	1.029229020	0.8706666021
-65	5	2.15610112518753	-1.447977205	0.8704259223	0.9083566888
-65	-2.84217e-14	2.22474319417020	-1.516302081	0.7000000000	0.9402171015
-65	-5	2.29178565016132	-1.570564388	0.5188490890	0.9655200307
-65	-10	2.35674748002679	-1.609176182	0.3280953321	0.9835250059
-65	-15	2.41911236123864	-1.630537693	0.1291241458	0.9934860421
-65	-20	2.47832105901936	-1.633064597	-0.07637202098	0.9946643568
-65	-25	2.53375769853679	-1.615224329	-0.2863453032	0.9863453032
-65	-30	2.58474339757453	-1.575596243	-0.4983460496	0.9678664233
-65	-35	2.63053558148218	-1.512955345	-0.7094865067	0.9386564929
-65	-40	2.67032990106517	-1.426376708	-0.9164219853	0.8982842115
-65	-45	2.70327337037089	-1.315364131	-1.115364131	0.8465181967

-60	45	1.60252929805978	-0.5491016874	1.749101687	0.6056991416
-60	40	1.66572797859798	-0.6669805977	1.679212989	0.6737565622
-60	35	1.73031536149228	-0.7813200505	1.597189958	0.7397704761
-60	30	1.79586252451554	-0.8910691299	1.503134137	0.8031341366
-60	25	1.86198029189984	-0.9952042442	1.397225190	0.8632565729
-60	20	1.92832681495485	-1.092729949	1.279706293	0.9195630647
-60	15	1.99459370977585	-1.182659245	1.150867186	0.9714837682
-60	10	2.06049641482934	-1.263993996	1.011039735	1.018442409
-60	5	2.12576853506630	-1.335707970	0.8606036369	1.059846491
-60	-2.84217e-14	2.19014927705307	-1.396724912	0.7000000000	1.095074639
-60	-5	2.25335876105834	-1.445888543	0.5297568120	1.123459274
-60	-10	2.31508948454940	-1.481951496	0.3505284768	1.144280230
-60	-15	2.37498623115008	-1.503562189	0.1631471295	1.156757169
-60	-20	2.43263303152522	-1.509269100	-0.03131414497	1.160052056
-60	-25	2.48753428099068	-1.497535544	-0.2314661214	1.153277684
-60	-30	2.53909769963730	-1.466776621	-0.4355190116	1.135519012
-60	-35	2.58662097316798	-1.415425008	-0.6411950298	1.105871144
-60	-40	2.62928285864844	-1.342030705	-0.8456472848	1.063496923
-60	-45	2.66614625783155	-1.245402434	-1.045402434	1.007708565

-55	45	1.60220061700487	-0.5152941418	1.715294142	0.7109166116
-55	40	1.66287985690636	-0.6225483978	1.641929947	0.7860168502
-55	35	1.72424644550869	-0.7251887884	1.557886425	0.8578864254
-55	30	1.78594831067641	-0.8225169415	1.463555512	0.9260363318
-55	25	1.84770829621645	-0.9139152183	1.359319494	0.9900340943
-55	20	1.90931004441592	-0.9988171397	1.245524825	1.049483060
-55	15	1.97059182250665	-1.076681661	1.122470578	1.104004385
-55	10	2.03142960025941	-1.146958545	0.9904032277	1.153212789
-55	5	2.09171266818496	-1.209047419	0.8495222746	1.196687886
-55	-2.84217e-14	2.15134223808622	-1.262276392	0.7000000000	1.233959214
-55	-5	2.21020904452404	-1.305865653	0.5420072275	1.264480743
-55	-10	2.26816943632064	-1.338892687	0.3757536047	1.287606521
-55	-15	2.32503372834532	-1.360272634	0.2015414499	1.302576922
-55	-20	2.38054729386051	-1.368740541	0.01983406742	1.308506214
-55	-25	2.43436329767199	-1.362839129	-0.1686561518	1.304374001
-55	-30	2.48601822497151	-1.340927422	-0.3628599426	1.289031258
-55	-35	2.53490700067547	-1.301215624	-0.5612247577	1.261224758
-55	-40	2.58025750890318	-1.241835960	-0.7615739120	1.219646670
-55	-45	2.62110857440737	-1.160963148	-0.9609631480	1.163018917

-50	45	1.60198326824972	-0.4741987097	1.674198710	0.8174497780
-50	40	1.65972638884227	-0.5695284776	1.597440951	0.8974409511
-50	35	1.71743508012384	-0.6593766017	1.511804236	0.9728324789
-50	30	1.77486168044912	-0.7434378070	1.417899153	1.043368205
-50	25	1.83185331461676	-0.8214994733	1.316225325	1.108869721
-50	20	1.88833566720882	-0.8934017043	1.207156745	1.169202856
-50	15	1.94428233141438	-0.9589886550	1.090934832	1.224236842
-50	10	1.99970863557485	-1.018079554	0.9676783843	1.273819994
-50	5	2.05465035111415	-1.070430478	0.8373948637	1.317747635
-50	-2.84217e-14	2.10915119651635	-1.115703554	0.7000000000	1.355736256
-50	-5	2.16324468171064	-1.153432361	0.5553434125	1.387394484
-50	-10	2.21693748401672	-1.182988915	0.4032436460	1.412195378
-50	-15	2.27019984160803	-1.203557019	0.2435332724	1.429454067
-50	-20	2.32294115928392	-1.214096824	0.07611977732	1.438298013
-50	-25	2.37498295415303	-1.213313341	-0.09893113184	1.437640593
-50	-30	2.42603024432043	-1.199635391	-0.2812849507	1.426163430
-50	-35	2.47563486768967	-1.171209103	-0.4701932120	1.402310942
-50	-40	2.52315477445500	-1.125922142	-0.6643106694	1.364310669
-50	-45	2.56770707484740	-1.061475060	-0.8614750596	1.310233147

-45	45	1.60198621423504	-0.4249071720	1.624907172	0.9249071720
-45	40	1.65636844694149	-0.5072714465	1.545201099	1.007271446
-45	35	1.71000390334314	-0.5836077124	1.458750289	1.083607712
-45	30	1.76278197822172	-0.6540116927	1.366268961	1.154011693
-45	25	1.81468786248247	-0.7186408119	1.268261543	1.218640812
-45	20	1.86577544393726	-0.7776663790	1.165032531	1.277666379
-45	15	1.91614858960966	-0.8312376997	1.056704067	1.331237700
-45	10	1.96594344197453	-0.8794510904	0.9432344458	1.379451090
-45	5	2.01530938494749	-0.9223198277	0.8244368608	1.422319828
-45	-2.84217e-14	2.06440229560350	-0.9597528623	0.7000000000	1.459752862
-45	-5	2.11337352755706	-0.9915293374	0.5695080917	1.491529337
-45	-10	2.16235694420560	-1.017269307	0.4324644841	1.517269307
-45	-15	2.21146358700772	-1.036406787	0.2883210421	1.536406787
-45	-20	2.26075644765709	-1.048145847	0.1365209935	1.548145847
-45	-25	2.31023112417075	-1.051419388	-0.02343874158	1.551419388
-45	-30	2.35978897451698	-1.044844514	-0.1919163962	1.544844514
-45	-35	2.40919435071674	-1.026675801	-0.3689899044	1.526675801
-45	-40	2.45801651300392	-0.9947699910	-0.5542609482	1.494769991
-45	-45	2.50556118651492	-0.9465864255	-0.7465864255	1.446586426


### -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	2.78401360781578	-1.468594901	-1.268594901	2.410833444e-16
-40	-90	2.79712315259903	-1.297956105	-1.442720648	2.624075983e-16
-35	-90	2.80082960010063	-1.106489861	-1.594305293	2.809713633e-16
-30	-90	2.79508760102431	-0.8975438005	-1.720616868	2.964400700e-16
-25	-90	2.77998455748144	-0.6748722413	-1.819521652	3.085524127e-16
-20	-90	2.75572350475900	-0.4425129481	-1.889533042	3.171263352e-16
-15	-90	2.72261896164349	-0.2046656398	-1.929847970	3.220634899e-16
-10	-90	2.68110814977330	0.03443045566	-1.940376093	3.233528130e-16
-5	-90	2.63174204117358	0.2706285677	-1.921727468	3.210690152e-16
-2.84217e-14	-90	2.57517970331037	0.5000000000	-1.875179703	3.153685581e-16
5	-90	2.51217596407284	0.7189505621	-1.802616376	3.064821134e-16
10	-90	2.44356989928215	0.9243214600	-1.706446582	2.947047104e-16
15	-90	2.37027018718429	1.113471066	-1.589505189	2.803835201e-16
20	-90	2.29324336274297	1.284335424	-1.454943866	2.639045107e-16
25	-90	2.21348230423406	1.435458044	-1.306096249	2.456759350e-16
30	-90	2.13198475302918	1.565992377	-1.146352957	2.261130238e-16
35	-90	2.04974970462897	1.675688131	-0.9790566608	2.056251365e-16
40	-90	1.96773599531957	1.764836317	-0.8073732247	1.845999795e-16
45	-90	1.88684432460816	1.834200417	-0.6342004170	1.633924270e-16

-45	-85	2.78088882732389	-1.462633305	-1.262633305	0.1717081648
-40	-85	2.79341390230613	-1.291552787	-1.435089471	0.1867961243
-35	-85	2.79657440317549	-1.099945710	-1.584959277	0.1999080333
-30	-85	2.79035867204469	-0.8911918433	-1.709614956	0.2108139921
-25	-85	2.77487763408015	-0.6690447308	-1.807024516	0.2193362243
-20	-85	2.75035610939322	-0.4375142497	-1.875799231	0.2253532323
-15	-85	2.71712347961627	-0.2007455590	-1.915218029	0.2288019302
-10	-85	2.67562294744134	0.03709794204	-1.925248026	0.2296794412
-5	-85	2.62640430660322	0.2719582599	-1.906529016	0.2280417401
-2.84217e-14	-85	2.57011722406724	0.5000000000	-1.860337152	0.2240004756
5	-85	2.50749980254477	0.7177176670	-1.788524321	0.2177176670
10	-85	2.43936837594200	0.9220283140	-1.693441504	0.2093989985
15	-85	2.36660421166237	1.110346715	-1.577844952	0.1992856106
20	-85	2.29014459631824	1.280641891	-1.444795967	0.1876453327
25	-85	2.21095282805009	1.431465490	-1.297534188	0.1747615965
30	-85	2.12999876899308	1.561955563	-1.139360990	0.1609232348
35	-85	2.04826022279157	1.671828346	-0.9735443161	0.1464161556
40	-85	1.96667913779732	1.761327399	-0.8031914589	0.1315122118
45	-85	1.88614540496969	1.831161373	-0.6311613728	0.1164615294

-45	-80	2.77145663415911	-1.444658628	-1.244658628	0.3428957843
-40	-80	2.78224865235155	-1.272300173	-1.412145099	0.3724281681
-35	-80	2.78380185063876	-1.080323480	-1.556935828	0.3979586802
-30	-80	2.77619681269660	-0.8721919380	-1.676706154	0.4190774202
-25	-80	2.75961563832895	-0.6516511676	-1.769723899	0.4354789583
-20	-80	2.73434338045161	-0.4226213416	-1.834881303	0.4469679666
-15	-80	2.70075125638375	-0.1890826873	-1.871691600	0.4534586151
-10	-80	2.65929873399781	0.04502624458	-1.880284388	0.4549737554
-5	-80	2.61052998299797	0.2759082354	-1.861380590	0.4516405059
-2.84217e-14	-80	2.55506571980872	0.5000000000	-1.816248530	0.4436825061
5	-80	2.49359501432852	0.7140538935	-1.746647198	0.4314099133
10	-80	2.42686642194322	0.9152074063	-1.654758215	0.4152074063
15	-80	2.35568400692908	1.101040567	-1.543113933	0.3955215071
20	-80	2.28089767810927	1.269619826	-1.414513093	0.3728457093
25	-80	2.20338806758427	1.419524591	-1.271926849	0.3477039074
30	-80	2.12404496789340	1.549852578	-1.118398006	0.3206326300
35	-80	2.04378310223917	1.660225691	-0.9569740073	0.2921692238
40	-80	1.96349323189085	1.750750681	-0.7905866170	0.2628306377
45	-80	1.88403261255862	1.821976404	-0.6219764039	0.2331001079

-45	-75	2.75555831725409	-1.414414746	-1.214414746	0.5129658852
-40	-75	2.76352523644551	-1.240081342	-1.373748191	0.5556591531
-35	-75	2.76249625543549	-1.047660933	-1.510288876	0.5922451195
-30	-75	2.75268425514967	-0.8407181923	-1.622192028	0.6222294785
-25	-75	2.73438251706869	-0.6229618383	-1.708199434	0.6452750935
-20	-75	2.70796385641732	-0.3981452953	-1.767633918	0.6612005156
-15	-75	2.67385579295732	-0.1699688132	-1.800357650	0.6699688132
-10	-75	2.63253918899355	0.05799425366	-1.806739153	0.6716787318
-5	-75	2.58454266366069	0.2823623569	-1.787609644	0.6665529952
-2.84217e-14	-75	2.53043743593255	0.5000000000	-1.744214871	0.6549254009
5	-75	2.47083184935028	0.7080623500	-1.678163543	0.6372270007
10	-75	2.40637183329300	0.9040320397	-1.591379561	0.6139733030
15	-75	2.33774193275260	1.085751181	-1.486053168	0.5857511809
20	-75	2.26565880367247	1.251446808	-1.364583136	0.5532033840
25	-75	2.19087483230738	1.399752984	-1.229526501	0.5170150677
30	-75	2.11415744568467	1.529718299	-1.083524411	0.4778939257
35	-75	2.03631630357030	1.640825869	-0.9292681902	0.4365610958
40	-75	1.95815600214033	1.732972538	-0.7693994518	0.3937243965
45	-75	1.88047749874560	1.806455331	-0.6064553310	0.3500636509

-45	-70	2.73294244048942	-1.371494602	-1.171494602	0.6811683287
-40	-70	2.73709455826860	-1.194729825	-1.319700358	0.7351108123
-35	-70	2.73264579514516	-1.002042834	-1.445139479	0.7807669188
-30	-70	2.71996601202558	-0.7970728107	-1.546596009	0.8176940758
-25	-70	2.69948734037710	-0.5834285693	-1.623420065	0.8456557452
-20	-70	2.67167535496735	-0.3645957619	-1.675457333	0.8645957619
-15	-70	2.63701514093606	-0.1438770468	-1.702981853	0.8746138679
-10	-70	2.59599878081628	0.07564645883	-1.706628523	0.8759411474
-5	-70	2.54912332532599	0.2911349811	-1.687338090	0.8689200041
-2.84217e-14	-70	2.49688943757724	0.5000000000	-1.646308579	0.8539864833
5	-70	2.43980318941145	0.6999077621	-1.584956177	0.8316560349
10	-70	2.37838243084632	0.8887810018	-1.504886628	0.8025131024
15	-70	2.31315854541628	1.064801343	-1.407867308	0.7672009580
20	-70	2.24469220889605	1.226417365	-1.295815306	0.7264173646
25	-70	2.17356834465002	1.372353060	-1.170767174	0.6809035667
30	-70	2.10040517679452	1.501622239	-1.034860607	0.6314376217
35	-70	2.02586404061190	1.613548843	-0.8903125611	0.5788264354
40	-70	1.95063029069381	1.707773886	-0.7393688679	0.5238874240
45	-70	1.87542547915123	1.784274637	-0.5842746370	0.4674377405

-45	-65	2.70327342030370	-1.315364165	-1.115364165	0.8465182123
-40	-65	2.70277889481716	-1.136064228	-1.249785421	0.9091998735
-35	-65	2.69426084055936	-0.9436316038	-1.361719597	0.9613956372
-30	-65	2.67826895912823	-0.7417066351	-1.450698980	1.002887405
-25	-65	2.65536641084394	-0.5336853398	-1.516745365	1.033685340
-20	-65	2.62610438207384	-0.3226674099	-1.560260132	1.053976609
-15	-65	2.59100136606235	-0.1114391963	-1.581922147	1.064077772
-10	-65	2.55053876706759	0.09751425167	-1.582610107	1.064398574
-5	-65	2.50516178388364	0.3019830784	-1.563343771	1.055414533
-2.84217e-14	-65	2.45528310629638	0.5000000000	-1.525242199	1.037647478
5	-65	2.40128985711729	0.6898065141	-1.469498383	1.011653710
10	-65	2.34355445766558	0.8698227535	-1.397369058	0.9780192538
15	-65	2.28245075675954	1.038625674	-1.310178381	0.9373615731
20	-65	2.21836467832277	1.194936704	-1.209322903	0.8903318914
25	-65	2.15169530067690	1.337615434	-1.096272094	0.8376154338
30	-65	2.08288789460731	1.465674381	-0.9725970912	0.7799448327
35	-65	2.01243049583966	1.578295101	-0.8399649986	0.7180974722
40	-65	1.94086862143166	1.674859597	-0.7001431450	0.6528974710
45	-65	1.86881079956129	1.754986688	-0.5549866879	0.5852099034

-45	-60	2.66614654268403	-1.245402621	-1.045402621	1.007708673
-40	-60	2.66039123324015	-1.063934619	-1.163824701	1.076079693
-35	-60	2.64740796449750	-0.8727138381	-1.260438532	1.131859714
-30	-60	2.62792329248898	-0.6752430243	-1.335580629	1.175243024
-25	-60	2.60260225183210	-0.4745537352	-1.389937230	1.206625822
-20	-60	2.57203906225903	-0.2732233030	-1.424413565	1.226530744
-15	-60	2.53675479071060	-0.07341978381	-1.440031767	1.235547917
-10	-60	2.49719042581534	0.1230396503	-1.437848378	1.234287337
-5	-60	2.45371485598174	0.3146197371	-1.418906101	1.223351008
-2.84217e-14	-60	2.40663544004065	0.5000000000	-1.384207429	1.203317720
5	-60	2.35621274565719	0.6780138948	-1.334708128	1.174739286
10	-60	2.30267954726124	0.8475981962	-1.271327330	1.138146365
15	-60	2.24625004132904	1.007752747	-1.194959049	1.094055117
20	-60	2.18713021189605	1.157509472	-1.106492428	1.042978890
25	-60	2.12554195119173	1.295916797	-1.006849079	0.9854497753
30	-60	2.06174283114482	1.422039425	-0.8970191298	0.9220394245
35	-60	1.99604511362850	1.534974128	-0.7780962377	0.8533792607
40	-60	1.92882815000868	1.633878762	-0.6513040882	0.7801757791
45	-60	1.86055193664372	1.718017155	-0.5180171549	0.7032225322

-45	-55	2.62110837545791	-1.160963022	-0.9609630219	1.163018829
-40	-55	2.60976028035379	-0.9782856087	-1.061752185	1.233592160
-35	-55	2.59223720181411	-0.7897489872	-1.141952445	1.289748987
-30	-55	2.56937966535672	-0.5984998807	-1.202657606	1.332255198
-25	-55	2.54190355146886	-0.4070298420	-1.245131773	1.361995931
-20	-55	2.51040203523632	-0.2172678089	-1.270677109	1.379882967
-15	-55	2.47534716891073	-0.03068389752	-1.280539268	1.386788525
-10	-55	2.43710366167902	0.1516035951	-1.275854197	1.383508003
-5	-55	2.39594390811716	0.3287303087	-1.257621529	1.370741352
-2.84217e-14	-55	2.35206328711887	0.5000000000	-1.226697450	1.349088078
5	-55	2.30559803269372	0.6648114807	-1.183803845	1.319053653
10	-55	2.25664383293778	0.8225987515	-1.129548434	1.281063605
15	-55	2.20526912995460	0.9727824976	-1.064448302	1.235480002
20	-55	2.15152134647925	1.114729028	-0.9889541224	1.182618408
25	-55	2.09545700482405	1.247723900	-0.9034990775	1.122782142
30	-55	2.03716362273810	1.370958865	-0.8085450052	1.056294584
35	-55	1.97676654099432	1.483525984	-0.7046206733	0.9835259838
40	-55	1.91446954759239	1.584441664	-0.5923872488	0.9049392939
45	-55	1.85056628135478	1.672680303	-0.4726803026	0.8211195878

-45	-50	2.56770710612790	-1.061475079	-0.8614750787	1.310233163
-40	-50	2.55079052392520	-0.8792537669	-0.9437306318	1.379253767
-35	-50	2.52900015282710	-0.6954181331	-1.007234024	1.432539440
-30	-50	2.50321421989013	-0.5125044599	-1.053709167	1.471536716
-25	-50	2.47412189787073	-0.3322809243	-1.084832202	1.497652042
-20	-50	2.44224251958582	-0.1559213955	-1.102129223	1.512165967
-15	-50	2.40795202265298	0.01583558420	-1.106926199	1.516191107
-10	-50	2.37150969707929	0.1825528116	-1.100332468	1.510658310
-5	-50	2.33307806745394	0.3439866214	-1.083241077	1.496316930
-2.84217e-14	-50	2.29273864314051	0.5000000000	-1.056339697	1.473743992
5	-50	2.25051320519831	0.6504922504	-1.020134293	1.443364051
10	-50	2.20637934435540	0.7953430552	-0.9749736996	1.405469814
15	-50	2.16027883359950	0.9343650245	-0.9210723406	1.360241203
20	-50	2.11213377768375	1.067262966	-0.8585421896	1.307772176
25	-50	2.06186480632078	1.193599918	-0.7874298253	1.248101818
30	-50	2.00939632914483	1.312764137	-0.7077487797	1.181241482
35	-50	1.95469511302118	1.423953279	-0.6195420332	1.107227233
40	-50	1.89778368661163	1.526162389	-0.5229327140	1.026162389
45	-50	1.83877614978801	1.618197292	-0.4181972922	0.9382789354

-45	-45	2.50556083993246	-0.9465862254	-0.7465862254	1.446586225
-40	-45	2.48352197489103	-0.7672757122	-0.8102803828	1.510280383
-35	-45	2.45812280864132	-0.5907000780	-0.8576811423	1.557681142
-30	-45	2.43016664413212	-0.4185166550	-0.8909175140	1.590917514
-25	-45	2.40022537627650	-0.2516200468	-0.9118543920	1.611854392
-20	-45	2.36868377660986	-0.09037919918	-0.9220535187	1.622053519
-15	-45	2.33578235400899	0.06517825975	-0.9227768268	1.622776827
-10	-45	2.30165230181772	0.2152303011	-0.9150092162	1.615009216
-5	-45	2.26634073942471	0.3600630110	-0.8994871032	1.599487103
-2.84217e-14	-45	2.22982398220042	0.5000000000	-0.8767236587	1.576723659
5	-45	2.19202576833561	0.6353483527	-0.8470387507	1.547038751
10	-45	2.15283120805744	0.7663569534	-0.8105853474	1.510585347
15	-45	2.11208694418766	0.8931793213	-0.7673652035	1.467365204
20	-45	2.06961862845065	1.015839134	-0.7172563732	1.417256373
25	-45	2.02523921516416	1.134194776	-0.6600350851	1.360035085
30	-45	1.97875665925983	1.247899718	-0.5954003104	1.295400310
35	-45	1.92999275425259	1.356362115	-0.5230118477	1.223011848
40	-45	1.87880580071091	1.458705010	-0.4425401396	1.142540140
45	-45	1.82512844190164	1.553738397	-0.3537383972	1.053738397