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# N_patches = 4

### +z patch
# N_rho = 16
# N_sigma = 16
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
0	0	0.396785621704350	0.000000000	0.000000000	1.146785622
3	0	0.396763350911763	0.02076498937	0.000000000	1.146219601
6	0	0.396696202366961	0.04146604442	0.000000000	1.144523059
9	0	0.396583124140224	0.06203926887	0.000000000	1.141700528
12	0	0.396422220760094	0.08242081420	0.000000000	1.137759444
15	0	0.396210369962555	0.1025467896	0.000000000	1.132709829
18	0	0.395953373605357	0.1223563214	0.000000000	1.126574036
21	0	0.395653430560641	0.1417895086	0.000000000	1.119374298
24	0	0.395309045688052	0.1607866742	0.000000000	1.111132783
27	0	0.394918314426242	0.1792891629	0.000000000	1.101874795
30	0	0.394483375919952	0.1972416880	0.000000000	1.091632625
33	0	0.394002795279368	0.2145893022	0.000000000	1.080438548
36	0	0.393478983978018	0.2312811439	0.000000000	1.068331185
39	0	0.392910926456237	0.2472668579	0.000000000	1.055349140
42	0	0.392298492539463	0.2624989282	0.000000000	1.041534595
45	0	0.391644231578259	0.2769342920	0.000000000	1.026934292

0	3	0.396763350911763	0.000000000	0.02076498937	1.146219601
3	3	0.396741103687905	0.02073544672	0.02073544672	1.145655893
6	3	0.396674008909229	0.04140751959	0.02064689536	1.143966233
9	3	0.396560965451926	0.06195286094	0.02049956331	1.141154970
12	3	0.396400047841521	0.08230812850	0.02029382767	1.137229300
15	3	0.396188917821082	0.1024101038	0.02003023808	1.132199711
18	3	0.395933097195717	0.1221983611	0.01970993083	1.126087884
21	3	0.395634313187751	0.1416132592	0.01933402391	1.118915153
24	3	0.395290919997785	0.1605953491	0.01890364635	1.110703060
27	3	0.394901481448995	0.1790863796	0.01842011908	1.101476810
30	3	0.394467862774339	0.1970311005	0.01788509156	1.091267877
33	3	0.393988561565263	0.2143745797	0.01730022219	1.080107904
36	3	0.393466148190904	0.2310660037	0.01666751175	1.068035070
39	3	0.392899442606342	0.2470548072	0.01598894678	1.055087279
42	3	0.392288384891533	0.2622933123	0.01526671288	1.041306235
45	3	0.391635426255101	0.2767381103	0.01450322981	1.026738110

0	6	0.396696202366961	0.000000000	0.04146604442	1.144523059
3	6	0.396674008909229	0.02064689536	0.04140751959	1.143966233
6	6	0.396607042551874	0.04123208166	0.04123208166	1.142297052
9	6	0.396494101669876	0.06169380986	0.04094013713	1.139519385
12	6	0.396333169981675	0.08197025104	0.04053236693	1.135639711
15	6	0.396124639826751	0.1020002952	0.04001005910	1.130670284
18	6	0.395872338731798	0.1217246546	0.03937519602	1.124629965
21	6	0.395576956601956	0.1410845366	0.03862977768	1.117537784
24	6	0.395236531583286	0.1600212258	0.03777588714	1.109413558
27	6	0.394850919482322	0.1784776455	0.03681613247	1.100282102
30	6	0.394421221047691	0.1963986900	0.03575357148	1.090172510
33	6	0.393945764624369	0.2137295044	0.03459133579	1.079114576
36	6	0.393427526334972	0.2304193986	0.03333329261	1.067145094
39	6	0.392864868398191	0.2464172111	0.03198320967	1.054299913
42	6	0.392257938990780	0.2616747925	0.03054531921	1.040619299
45	6	0.391608894386023	0.2761477109	0.02902429398	1.026147711

0	9	0.396583124140224	0.000000000	0.06203926887	1.141700528
3	9	0.396560965451926	0.02049956331	0.06195286094	1.141154970
6	9	0.396494101669876	0.04094013713	0.06169380986	1.139519385
9	9	0.396381442209852	0.06126264776	0.06126264776	1.136797135
12	9	0.396221963052119	0.08140802389	0.06066039176	1.132994640
15	9	0.396018068083087	0.1013181892	0.05988905784	1.128124630
18	9	0.395771365992150	0.1209357477	0.05895099907	1.122201960
21	9	0.395481373078626	0.1402034361	0.05784871916	1.115242438
24	9	0.395145939479798	0.1590639086	0.05658496179	1.107263388
27	9	0.394766556929375	0.1774618750	0.05516348552	1.098288540
30	9	0.394343239266109	0.1953425732	0.05358830813	1.088343262
33	9	0.393874252640611	0.2126514386	0.05186369768	1.077454500
36	9	0.393362880429124	0.2293378438	0.04999507204	1.065656462
39	9	0.392806924341943	0.2453497942	0.04798759699	1.052981763
42	9	0.392206859800279	0.2606383953	0.04584726894	1.039468264
45	9	0.391564344480583	0.2751575554	0.04358067541	1.025157555

0	12	0.396422220760094	0.000000000	0.08242081420	1.137759444
3	12	0.396400047841521	0.02029382767	0.08230812850	1.137229300
6	12	0.396333169981675	0.04053236693	0.08197025104	1.135639711
9	12	0.396221963052119	0.06066039176	0.08140802389	1.132994640
12	12	0.396067189563098	0.08062288061	0.08062288061	1.129300832
15	12	0.395869922705531	0.1003651254	0.07961683247	1.124567747
18	12	0.395630297509118	0.1198324681	0.07839222334	1.118806414
21	12	0.395347070492933	0.1389699651	0.07695166847	1.112029136
24	12	0.395018910645844	0.1577226419	0.07529834347	1.104250854
27	12	0.394648016365677	0.1760371860	0.07343668312	1.095492431
30	12	0.394233221318057	0.1938594873	0.07137106929	1.085774482
33	12	0.393773659203407	0.2111359628	0.06910657462	1.075120872
36	12	0.393271657438053	0.2278154677	0.06664946736	1.063561091
39	12	0.392725026551664	0.2438453657	0.06400587119	1.051123949
42	12	0.392134581508010	0.2591757653	0.06118309873	1.037843848
45	12	0.391501233046716	0.2737583248	0.05818912825	1.023758325

0	15	0.396210369962555	0.000000000	0.1025467896	1.132709829
3	15	0.396188917821083	0.02003023808	0.1024101038	1.132199711
6	15	0.396124639826751	0.04001005910	0.1020002952	1.130670284
9	15	0.396018068083087	0.05988905784	0.1013181892	1.128124630
12	15	0.395869922705531	0.07961683247	0.1003651254	1.124567747
15	15	0.395680340052786	0.09914277671	0.09914277671	1.120005880
18	15	0.395448500564536	0.1184157763	0.09765308786	1.114446285
21	15	0.395172790559105	0.1373840064	0.09589836562	1.107897573
24	15	0.394854845145655	0.1559963417	0.09388230174	1.100373520
27	15	0.394494719821457	0.1742010172	0.09160881349	1.091888746
30	15	0.394090587032114	0.1919451599	0.08908205872	1.082458769
33	15	0.393643213509024	0.2091768376	0.08630752904	1.072104083
36	15	0.393153144233893	0.2258441475	0.08329141737	1.060847801
39	15	0.392618580781483	0.2418940181	0.08004023807	1.048714235
42	15	0.392040581485437	0.2572753492	0.07656198624	1.035733223
45	15	0.391418939748411	0.2719369739	0.07286529255	1.021936974

0	18	0.395953373605357	0.000000000	0.1223563214	1.126574036
3	18	0.395933097195717	0.01970993083	0.1221983611	1.126087884
6	18	0.395872338731798	0.03937519602	0.1217246546	1.124629965
9	18	0.395771365992150	0.05895099907	0.1209357477	1.122201960
12	18	0.395630297509118	0.07839222334	0.1198324681	1.118806414
15	18	0.395448500564536	0.09765308786	0.1184157763	1.114446285
18	18	0.395224671796537	0.1166868470	0.1166868470	1.109125188
21	18	0.394959273270677	0.1354463495	0.1146478511	1.102849804
24	18	0.394653520590521	0.1538839759	0.1123016921	1.095629069
27	18	0.394306167097589	0.1719503489	0.1096511572	1.087471561
30	18	0.393915164735881	0.1895945459	0.1066995298	1.078387386
33	18	0.393482409416116	0.2067664529	0.1034519673	1.068392417
36	18	0.393006595959118	0.2234136506	0.09991362197	1.057502509
39	18	0.392486622048018	0.2394829316	0.09609070839	1.045736791
42	18	0.391923707344680	0.2549219273	0.09199109635	1.033119483
45	18	0.391316378356424	0.2696763700	0.08762316422	1.019676370

0	21	0.395653430560641	0.000000000	0.1417895086	1.119374298
3	21	0.395634313187751	0.01933402391	0.1416132592	1.118915153
6	21	0.395576956601956	0.03862977768	0.1410845366	1.117537784
9	21	0.395481373078626	0.05784871916	0.1402034361	1.115242438
12	21	0.395347070492933	0.07695166847	0.1389699651	1.112029136
15	21	0.395172790559105	0.09589836562	0.1373840064	1.107897573
18	21	0.394959273270677	0.1146478511	0.1354463495	1.102849804
21	21	0.394706852257826	0.1331579131	0.1331579131	1.096888223
24	21	0.394414850984578	0.1513845680	0.1305196476	1.090015307
27	21	0.394081338768863	0.1692815685	0.1275326012	1.082233785
30	21	0.393706089790055	0.1868014215	0.1241990370	1.073549553
33	21	0.393289955876621	0.2038953974	0.1205223203	1.063971379
36	21	0.392830786685362	0.2205114767	0.1165058093	1.053508010
39	21	0.392328106003926	0.2365966060	0.1121545055	1.042172476
42	21	0.391782888840061	0.2520970664	0.1074750805	1.029982157
45	21	0.391192686691109	0.2669556687	0.1024746801	1.016955669

0	24	0.395309045688053	0.000000000	0.1607866742	1.111132783
3	24	0.395290919997785	0.01890364635	0.1605953491	1.110703060
6	24	0.395236531583286	0.03777588714	0.1600212258	1.109413558
9	24	0.395145939479798	0.05658496179	0.1590639086	1.107263388
12	24	0.395018910645844	0.07529834347	0.1577226419	1.104250854
15	24	0.394854845145655	0.09388230174	0.1559963417	1.100373520
18	24	0.394653520590521	0.1123016921	0.1538839759	1.095629069
21	24	0.394414850984578	0.1305196476	0.1513845680	1.090015307
24	24	0.394137156222255	0.1484966673	0.1484966673	1.083528976
27	24	0.393819561404461	0.1661910088	0.1452194477	1.076168220
30	24	0.393462365184486	0.1835588346	0.1415529930	1.067933228
33	24	0.393064584133466	0.2005530596	0.1374975839	1.058824630
36	24	0.392624747370456	0.2171234154	0.1330542522	1.048844743
39	24	0.392142408004758	0.2332172356	0.1282255502	1.037999301
42	24	0.391616953026436	0.2487789932	0.1230153782	1.026297063
45	24	0.391046422880865	0.2637496502	0.1174289100	1.013749650

0	27	0.394918314426243	0.000000000	0.1792891629	1.101874795
3	27	0.394901481448996	0.01842011908	0.1790863796	1.101476810
6	27	0.394850919482323	0.03681613247	0.1784776455	1.100282102
9	27	0.394766556929375	0.05516348552	0.1774618750	1.098288540
12	27	0.394648016365677	0.07343668312	0.1760371860	1.095492431
15	27	0.394494719821457	0.09160881349	0.1742010172	1.091888746
18	27	0.394306167097589	0.1096511572	0.1719503489	1.087471561
21	27	0.394081338768863	0.1275326012	0.1692815685	1.082233785
24	27	0.393819561404461	0.1452194477	0.1661910088	1.076168220
27	27	0.393520014990584	0.1626749210	0.1626749210	1.069267509
30	27	0.393182952235292	0.1798593608	0.1587301965	1.061525551
33	27	0.392805768690677	0.1967282006	0.1543530225	1.052934863
36	27	0.392387250007568	0.2132334357	0.1495409532	1.043490646
39	27	0.391927453215501	0.2293237139	0.1442931246	1.033191202
42	27	0.391424095684783	0.2449422918	0.1386092523	1.022035975
45	27	0.390876473370901	0.2600292438	0.1324915173	1.010029244

0	30	0.394483375919953	0.000000000	0.1972416880	1.091632625
3	30	0.394467862774340	0.01788509156	0.1970311005	1.091267877
6	30	0.394421221047691	0.03575357148	0.1963986900	1.090172510
9	30	0.394343239266109	0.05358830813	0.1953425732	1.088343262
12	30	0.394233221318057	0.07137106929	0.1938594873	1.085774482
15	30	0.394090587032115	0.08908205872	0.1919451599	1.082458769
18	30	0.393915164735881	0.1066995298	0.1895945459	1.078387386
21	30	0.393706089790055	0.1241990370	0.1868014215	1.073549553
24	30	0.393462365184486	0.1415529930	0.1835588346	1.067933228
27	30	0.393182952235292	0.1587301965	0.1798593608	1.061525551
30	30	0.392866622667072	0.1756952949	0.1756952949	1.054313177
33	30	0.392511465855767	0.1924080712	0.1710587509	1.046282448
36	30	0.392116724681043	0.2088238945	0.1659428417	1.037421433
39	30	0.391681383509273	0.2248928409	0.1603414453	1.027719530
42	30	0.391202954992093	0.2405586721	0.1542492117	1.017167472
45	30	0.390680926223403	0.2557607024	0.1476635104	1.005760702

0	33	0.394002795279369	0.000000000	0.2145893022	1.080438548
3	33	0.393988561565263	0.01730022219	0.2143745797	1.080107904
6	33	0.393945764624370	0.03459133579	0.2137295044	1.079114576
9	33	0.393874252640611	0.05186369768	0.2126514386	1.077454500
12	33	0.393773659203408	0.06910657462	0.2111359628	1.075120872
15	33	0.393643213509024	0.08630752904	0.2091768376	1.072104083
18	33	0.393482409416116	0.1034519673	0.2067664529	1.068392417
21	33	0.393289955876621	0.1205223203	0.2038953974	1.063971379
24	33	0.393064584133466	0.1374975839	0.2005530596	1.058824630
27	33	0.392805768690677	0.1543530225	0.1967282006	1.052934863
30	33	0.392511465855767	0.1710587509	0.1924080712	1.046282448
33	33	0.392180110107034	0.1875797768	0.1875797768	1.038847526
36	33	0.391811714135240	0.2038761094	0.1822311680	1.030611391
39	33	0.391402715380292	0.2198996691	0.1763488893	1.021553476
42	33	0.390951419792858	0.2355963814	0.1699215813	1.011656290
45	33	0.390457078662544	0.2509056377	0.1629400263	1.000905638

0	36	0.393478983978018	0.000000000	0.2312811439	1.068331185
3	36	0.393466148190904	0.01666751175	0.2310660037	1.068035070
6	36	0.393427526334972	0.03333329261	0.2304193986	1.067145094
9	36	0.393362880429124	0.04999507204	0.2293378438	1.065656462
12	36	0.393271657438053	0.06664946736	0.2278154677	1.063561091
15	36	0.393153144233893	0.08329141737	0.2258441475	1.060847801
18	36	0.393006595959118	0.09991362197	0.2234136506	1.057502509
21	36	0.392830786685362	0.1165058093	0.2205114767	1.053508010
24	36	0.392624747370456	0.1330542522	0.2171234154	1.048844743
27	36	0.392387250007568	0.1495409532	0.2132334357	1.043490646
30	36	0.392116724681043	0.1659428417	0.2088238945	1.037421433
33	36	0.391811714135240	0.1822311680	0.2038761094	1.030611391
36	36	0.391469920740923	0.1983702787	0.1983702787	1.023033265
39	36	0.391088864855870	0.2143170401	0.1922863847	1.014659503
42	36	0.390667593475291	0.2300210820	0.1856056728	1.005464292
45	36	0.390203217310870	0.2454222818	0.1783097250	0.9954222818

0	39	0.392910926456237	0.000000000	0.2472668579	1.055349140
3	39	0.392899442606342	0.01598894678	0.2470548072	1.055087279
6	39	0.392864868398192	0.03198320967	0.2464172111	1.054299913
9	39	0.392806924341943	0.04798759699	0.2453497942	1.052981763
12	39	0.392725026551665	0.06400587119	0.2438453657	1.051123949
15	39	0.392618580781483	0.08004023807	0.2418940181	1.048714235
18	39	0.392486622048018	0.09609070839	0.2394829316	1.045736791
21	39	0.392328106003926	0.1121545055	0.2365966060	1.042172476
24	39	0.392142408004758	0.1282255502	0.2332172356	1.037999301
27	39	0.391927453215501	0.1442931246	0.2293237139	1.033191202
30	39	0.391681383509273	0.1603414453	0.2248928409	1.027719530
33	39	0.391402715380292	0.1763488893	0.2198996691	1.021553476
36	39	0.391088864855870	0.1922863847	0.2143170401	1.014659503
39	39	0.390738542395267	0.2081174417	0.2081174417	1.007003637
42	39	0.390348747760913	0.2237956484	0.2012720222	0.9985502479
45	39	0.389916190990895	0.2392641656	0.1937523010	0.9892641656

0	42	0.392298492539463	0.000000000	0.2624989282	1.041534595
3	42	0.392288384891533	0.01526671288	0.2622933123	1.041306235
6	42	0.392257938990780	0.03054531921	0.2616747925	1.040619299
9	42	0.392206859800280	0.04584726894	0.2606383953	1.039468264
12	42	0.392134581508010	0.06118309873	0.2591757653	1.037843848
15	42	0.392040581485437	0.07656198624	0.2572753492	1.035733223
18	42	0.391923707344680	0.09199109635	0.2549219273	1.033119483
21	42	0.391782888840061	0.1074750805	0.2520970664	1.029982157
24	42	0.391616953026436	0.1230153782	0.2487789932	1.026297063
27	42	0.391424095684783	0.1386092523	0.2449422918	1.022035975
30	42	0.391202954992093	0.1542492117	0.2405586721	1.017167472
33	42	0.390951419792857	0.1699215813	0.2355963814	1.011656290
36	42	0.390667593475291	0.1856056728	0.2300210820	1.005464292
39	42	0.390348747760913	0.2012720222	0.2237956484	0.9985502479
42	42	0.389991517728928	0.2168809487	0.2168809487	0.9908706958
45	42	0.389593884590180	0.2323821493	0.2092378271	0.9823821493

0	45	0.391644231578259	0.000000000	0.2769342920	1.026934292
3	45	0.391635426255101	0.01450322981	0.2767381103	1.026738110
6	45	0.391608894386023	0.02902429398	0.2761477109	1.026147711
9	45	0.391564344480583	0.04358067541	0.2751575554	1.025157555
12	45	0.391501233046717	0.05818912825	0.2737583248	1.023758325
15	45	0.391418939748411	0.07286529255	0.2719369739	1.021936974
18	45	0.391316378356424	0.08762316422	0.2696763700	1.019676370
21	45	0.391192686691109	0.1024746801	0.2669556687	1.016955669
24	45	0.391046422880865	0.1174289100	0.2637496502	1.013749650
27	45	0.390876473370901	0.1324915173	0.2600292438	1.010029244
30	45	0.390680926223403	0.1476635104	0.2557607024	1.005760702
33	45	0.390457078662544	0.1629400263	0.2509056377	1.000905638
36	45	0.390203217310870	0.1783097250	0.2454222818	0.9954222818
39	45	0.389916190990895	0.1937523010	0.2392641656	0.9892641656
42	45	0.389593884590180	0.2092378271	0.2323821493	0.9823821493
45	45	0.389232644722278	0.2247235722	0.2247235722	0.9747235722


### +x patch
# N_rho = 31
# N_sigma = 16
# ghosted_gfn=-1
# dpx = drho = dnu
# dpy = dsigma = dphi
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	0	0.391644231590706	0.2769342920	0.000000000	1.026934292
45	3	0.391635426274789	0.2767381103	0.01450322981	1.026738110
45	6	0.391608894420997	0.2761477110	0.02902429398	1.026147711
45	9	0.391564344495860	0.2751575554	0.04358067542	1.025157555
45	12	0.391501233621582	0.2737583252	0.05818912834	1.023758325
45	15	0.391418940144470	0.2719369742	0.07286529262	1.021936974
45	18	0.391316378233948	0.2696763699	0.08762316419	1.019676370
45	21	0.391192687341913	0.2669556691	0.1024746803	1.016955669
45	24	0.391046422145253	0.2637496497	0.1174289098	1.013749650
45	27	0.390876471023880	0.2600292422	0.1324915165	1.010029242
45	30	0.390680926488495	0.2557607026	0.1476635105	1.005760703
45	33	0.390457085716490	0.2509056423	0.1629400293	1.000905642
45	36	0.390203215298128	0.2454222805	0.1783097241	0.9954222805
45	39	0.389916188882872	0.2392641643	0.1937522999	0.9892641643
45	42	0.389593876932577	0.2323821447	0.2092378229	0.9823821447
45	45	0.389232665436660	0.2247235842	0.2247235842	0.9747235842

48	0	0.390946338281526	0.2905297483	0.000000000	1.011594160
48	3	0.390937042476028	0.2903027529	0.01521412260	1.011389773
48	6	0.390909042489929	0.2896199178	0.03044027998	1.010774945
48	9	0.390862078264962	0.2884757477	0.04569006985	1.009744730
48	12	0.390795653180519	0.2868610168	0.06097419142	1.008290820
48	15	0.390709270659907	0.2847629156	0.07630199326	1.006401681
48	18	0.390601863390760	0.2821646036	0.09168083730	1.004062150
48	21	0.390472517099695	0.2790457181	0.1071156153	1.001253893
48	24	0.390320088243262	0.2753820877	0.1226080049	0.9979551455
48	27	0.390142908099794	0.2711455617	0.1381555642	0.9941405603
48	30	0.389939883648321	0.2663048720	0.1537511895	0.9897819838
48	33	0.389709073503057	0.2608248111	0.1693816128	0.9848477148
48	36	0.389448560435336	0.2546671456	0.1850265117	0.9793033278
48	39	0.389156012418814	0.2477907868	0.2006570228	0.9731118266
48	42	0.388828360839071	0.2401522945	0.2162340972	0.9662340972
48	45	0.388464031021682	0.2317082224	0.2317082224	0.9586310206

51	0	0.390207472898718	0.3032481617	0.000000000	0.9955655194
51	3	0.390197781331118	0.3029894331	0.01587900333	0.9953560051
51	6	0.390168596774788	0.3022114720	0.03176370565	0.9947260246
51	9	0.390119679946727	0.3009090247	0.04765930746	0.9936713236
51	12	0.390050524272600	0.2990732603	0.06356998390	0.9921847510
51	15	0.389960708005930	0.2966920577	0.07949839726	0.9902564911
51	18	0.389849457544154	0.2937497004	0.09544506344	0.9878738172
51	21	0.389716042908012	0.2902272344	0.1114077973	0.9850213804
51	24	0.389559687743078	0.2861024860	0.1273810337	0.9816812251
51	27	0.389378629236648	0.2813495233	0.1433547423	0.9778323517
51	30	0.389171454254585	0.2759398782	0.1593139630	0.9734517075
51	33	0.388936868617095	0.2698426825	0.1752378870	0.9685142958
51	36	0.388672730647727	0.2630244457	0.1910984457	0.9629929965
51	39	0.388378579116024	0.2554513992	0.2068604643	0.9568604643
51	42	0.388051328474391	0.2470873916	0.2224784867	0.9500874245
51	45	0.387688430056246	0.2378971452	0.2378971452	0.9426453098

54	0	0.389426796762865	0.3150528966	0.000000000	0.9788993280
54	3	0.389416901415204	0.3147621010	0.01649598272	0.9786880526
54	6	0.389387108922369	0.3138880813	0.03299096675	0.9780530401
54	9	0.389337198702909	0.3124260288	0.04948342171	0.9769907968
54	12	0.389266645141506	0.3103678376	0.06597072041	0.9754954333
54	15	0.389175071354224	0.3077025253	0.08244864316	0.9735589706
54	18	0.389061954705407	0.3044160801	0.09891078029	0.9711712284
54	21	0.388926301979603	0.3004913359	0.1153478167	0.9683197348
54	24	0.388767520210244	0.2959088306	0.1317470996	0.9649903498
54	27	0.388584680583612	0.2906464694	0.1480917730	0.9611670206
54	30	0.388376485714949	0.2846798390	0.1643599817	0.9568320099
54	33	0.388141954999691	0.2779831484	0.1805243674	0.9519665794
54	36	0.387879071304366	0.2705288037	0.1965506809	0.9465506809
54	39	0.387586363060014	0.2622892739	0.2123976661	0.9405643121
54	42	0.387263965365376	0.2532386011	0.2280170606	0.9339886134
54	45	0.386908555499866	0.2433500707	0.2433500707	0.9268041756

57	0	0.388604694632471	0.3259113200	0.000000000	0.9616492859
57	3	0.388594718993837	0.3255886106	0.01706337604	0.9614397160
57	6	0.388564708702697	0.3246190737	0.03411883950	0.9608100914
57	9	0.388514531566513	0.3229985985	0.05115795225	0.9597577425
57	12	0.388443791216191	0.3207202439	0.06817119230	0.9582781617
57	15	0.388352070908447	0.3177745318	0.08514742917	0.9563651939
57	18	0.388239124666586	0.3141497311	0.1020734352	0.9540112208
57	21	0.388103853494823	0.3098312076	0.1189330575	0.9512067388
57	24	0.387945525693686	0.3048026666	0.1357068905	0.9479411661
57	27	0.387763877656135	0.2990465179	0.1523718114	0.9442030794
57	30	0.387557430666962	0.2925429551	0.1688997539	0.9399796164
57	33	0.387325645174996	0.2852721277	0.1852578859	0.9352578859
57	36	0.387068040595769	0.2772140223	0.2014077766	0.9300248910
57	39	0.386782286296188	0.2683478428	0.2173037984	0.9242671267
57	42	0.386468115171413	0.2586556998	0.2328946382	0.9179729755
57	45	0.386124444208908	0.2481215099	0.2481215099	0.9111319926

60	0	0.387744596037083	0.3357966703	0.000000000	0.9438722980
60	3	0.387734636540018	0.3354427284	0.01757980847	0.9436679495
60	6	0.387704705578838	0.3343797840	0.03514473148	0.9430542583
60	9	0.387654767766120	0.3326046080	0.05267939469	0.9420293600
60	12	0.387584518663682	0.3301116795	0.07016740356	0.9405900670
60	15	0.387493535057509	0.3268934300	0.08759083058	0.9387320098
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60	24	0.387094331208721	0.3127876031	0.1392620133	0.9305880069
60	27	0.386916852317448	0.3065608134	0.1562005362	0.9269929681
60	30	0.386715918659537	0.2995488625	0.1729446164	0.9229446164
60	33	0.386490539047769	0.2917376251	0.1894566290	0.9184347964
60	36	0.386241057795846	0.2831145710	0.2056947762	0.9134562738
60	39	0.385966244137310	0.2736672417	0.2216113627	0.9080018556
60	42	0.385664702744566	0.2633851873	0.2371530879	0.9020655088
60	45	0.385337384387875	0.2522625332	0.2522625332	0.8956438414

63	0	0.386844443600226	0.3446809231	0.000000000	0.9256237023
63	3	0.386834849969591	0.3442972119	0.01804385229	0.9254281917
63	6	0.386806024828957	0.3431452753	0.03606602175	0.9248412507
63	9	0.386757956189609	0.3412228357	0.05404438785	0.9238617187
63	12	0.386690276455668	0.3385258710	0.07195589517	0.9224875466
63	15	0.386602135047062	0.3350486398	0.08977601246	0.9207158088
63	18	0.386493813545128	0.3307852668	0.1074786484	0.9185435117
63	21	0.386365082108141	0.3257285258	0.1250354663	0.9159669735
63	24	0.386215322719319	0.3198702568	0.1424154139	0.9129820364
63	27	0.386044670579948	0.3132026724	0.1595847325	0.9095847325
63	30	0.385852498992519	0.3057175081	0.1765060856	0.9057708507
63	33	0.385637538714117	0.2974066687	0.1931381489	0.9015362666
63	36	0.385399834786254	0.2882643266	0.2094362926	0.8968780106
63	39	0.385139581283604	0.2782865557	0.2253520095	0.8917940824
63	42	0.384855038945119	0.2674705436	0.2408315592	0.8862830489
63	45	0.384547461286479	0.2558188901	0.2558188901	0.8803462349

66	0	0.385906513100953	0.3525431421	0.000000000	0.9069623197
66	3	0.385897336009797	0.3521314122	0.01845442533	0.9067790057
66	6	0.385869782601079	0.3508957810	0.03688063272	0.9062288672
66	9	0.385823933343488	0.3488350807	0.05525004902	0.9053113844
66	12	0.385759655170582	0.3459472029	0.07353334797	0.9040256183
66	15	0.385676578436123	0.3422292066	0.09170003954	0.9023702597
66	18	0.385574511869518	0.3376778682	0.1097181904	0.9003438733
66	21	0.385452591140901	0.3322891638	0.1275538592	0.8979446675
66	24	0.385310770488703	0.3260598614	0.1451712034	0.8951712034
66	27	0.385149201586384	0.3189872767	0.1625321356	0.8920222858
66	30	0.384968565394308	0.3110698999	0.1795962904	0.8884972426
66	33	0.384767204507504	0.3023055098	0.1963194936	0.8845950847
66	36	0.384544911429848	0.2926948089	0.2126552264	0.8803161250
66	39	0.384302927143718	0.2822417881	0.2285548935	0.8756621403
66	42	0.384039366595692	0.2709508573	0.2439652477	0.8706350940
66	45	0.383754724342970	0.2588316077	0.2588316077	0.8652392564

69	0	0.384933821489764	0.3593666812	0.000000000	0.8879479443
69	3	0.384925235748871	0.3589293130	0.01881068821	0.8877800544
69	6	0.384899421929137	0.3576170909	0.03758707086	0.8872763395
69	9	0.384856360086446	0.3554298252	0.05629455394	0.8864367269
69	12	0.384796055686871	0.3523673100	0.07489798387	0.8852611374
69	15	0.384718513087522	0.3484294095	0.09336137889	0.8837495191
69	18	0.384623820373155	0.3436162886	0.1116477001	0.8819019350
69	21	0.384512008723540	0.3379284824	0.1297185908	0.8797185908
69	24	0.384381108024156	0.3313654646	0.1475334102	0.8771992843
69	27	0.384231848381099	0.3239300841	0.1650506217	0.8743451092
69	30	0.384065488715403	0.3156268608	0.1822272531	0.8711578004
69	33	0.383880895928795	0.3064599346	0.1990174085	0.8676389471
69	36	0.383677388053379	0.2964359322	0.2153733116	0.8637910931
69	39	0.383456466610531	0.2855656364	0.2312464928	0.8596183775
69	42	0.383217206942088	0.2738608122	0.2465853829	0.8551253164
69	45	0.382959112852149	0.2613369562	0.2613369562	0.8503178585

72	0	0.383925469356358	0.3651348194	0.000000000	0.8686394946
72	3	0.383918088175178	0.3646750992	0.01911181211	0.8684901224
72	6	0.383895627257423	0.3632959201	0.03818393986	0.8680420000
72	9	0.383857079235869	0.3609972055	0.05717634035	0.8672951023
72	12	0.383802191632378	0.3577802584	0.07604854157	0.8662498529
72	15	0.383731163135056	0.3536475592	0.09475957788	0.8649070575
72	18	0.383644790492349	0.3486030032	0.1132679819	0.8632679819
72	21	0.383544016372592	0.3426516103	0.1315316298	0.8613342571
72	24	0.383427210743522	0.3357973080	0.1495065940	0.8591071593
72	27	0.383293001877830	0.3280458145	0.1671476911	0.8565885464
72	30	0.383143526051579	0.3194076095	0.1844100693	0.8537818235
72	33	0.382978943897127	0.3098933739	0.2012471101	0.8506904609
72	36	0.382797560247239	0.2995145924	0.2176100891	0.8473181904
72	39	0.382600714861592	0.2882878075	0.2334508635	0.8436703869
72	42	0.382388676071958	0.2762315271	0.2487199842	0.8397530639
72	45	0.382160383240635	0.2633664999	0.2633664999	0.8355729631

75	0	0.382879930796489	0.3698336135	0.000000000	0.8490966181
75	3	0.382873825278944	0.3693547665	0.01935706308	0.8489683114
75	6	0.382855266862222	0.3679186008	0.03866980317	0.8485834920
75	9	0.382823639995920	0.3655263705	0.05789368962	0.8479424958
75	12	0.382777830656095	0.3621801544	0.07698376833	0.8470458799
75	15	0.382715825010109	0.3578825917	0.09589435143	0.8458943514
75	18	0.382639603041185	0.3526415748	0.1145801934	0.8444900252
75	21	0.382551242041643	0.3464665693	0.1329960553	0.8428354374
75	24	0.382450185702174	0.3393662746	0.1510956003	0.8409329192
75	27	0.382333715880008	0.3313494154	0.1688309598	0.8387848083
75	30	0.382203639509095	0.3224308211	0.1861555214	0.8363950781
75	33	0.382061680012471	0.3126273312	0.2030225627	0.8337682409
75	36	0.381905211896330	0.3019545875	0.2193828493	0.8309084879
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75	42	0.381553644351175	0.2780899671	0.2503933310	0.8245139821
75	45	0.381358196403597	0.2649473068	0.2649473068	0.8209924169

78	0	0.381801872206134	0.3734585853	0.000000000	0.8293810728
78	3	0.381797066931917	0.3729641599	0.01954622337	0.8292759794
78	6	0.381782512738596	0.3714816449	0.03904429421	0.8289608612
78	9	0.381757834848406	0.3690133771	0.05844597720	0.8284362146
78	12	0.381721976922977	0.3655628821	0.07770278929	0.8277027893
78	15	0.381672547794180	0.3611343480	0.09676565690	0.8267614753
78	18	0.381608758089153	0.3557355405	0.1155854838	0.8256139234
78	21	0.381534589589993	0.3493807045	0.1341146870	0.8242631613
78	24	0.381450918534407	0.3420831508	0.1523052315	0.8227120183
78	27	0.381354940126232	0.3338550802	0.1701076598	0.8209630879
78	30	0.381246774422200	0.3247137255	0.1874735568	0.8190200330
78	33	0.381129595128980	0.3146812472	0.2043563914	0.8168875639
78	36	0.381000591717928	0.3037771955	0.2207070516	0.8145698362
78	39	0.380860600086794	0.2920268383	0.2364786709	0.8120722207
78	42	0.380711491707263	0.2794588035	0.2516258368	0.8094008024
78	45	0.380551388589885	0.2661016157	0.2661016157	0.8065616445

81	0	0.380695301452884	0.3760083106	0.000000000	0.8095538658
81	3	0.380691827432282	0.3755021627	0.01967923447	0.8094736999
81	6	0.380681355849987	0.3739848012	0.03930738653	0.8092333734
81	9	0.380663723875413	0.3714594634	0.05883339921	0.8088333992
81	12	0.380638129162471	0.3679310512	0.07820615918	0.8082745536
81	15	0.380602311615734	0.3634054093	0.09737418595	0.8075577624
81	18	0.380553222384702	0.3578901035	0.1162855437	0.8066842237
81	21	0.380495175372532	0.3514021014	0.1348906286	0.8056566252
81	24	0.380430669437110	0.3439588678	0.1531403545	0.8044777328
81	27	0.380357196515007	0.3355756723	0.1709843453	0.8031499650
81	30	0.380273284857013	0.3262713563	0.1883728554	0.8016763062
81	33	0.380182970324653	0.3160720040	0.2052595594	0.8000608875
81	36	0.380083726114927	0.3050005228	0.2215958509	0.7983073371
81	39	0.379975879798467	0.2930848590	0.2373354392	0.7964200814
81	42	0.379861699955546	0.2803569188	0.2524345035	0.7944041737
81	45	0.379739060743347	0.2668477688	0.2668477688	0.7922645345

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84	3	0.379561003675588	0.3769700441	0.01975616287	0.7896211482
84	6	0.379554809842626	0.3754301287	0.03945929657	0.7894592966
84	9	0.379544472291693	0.3728679165	0.05905647627	0.7891899972
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84	15	0.379507139776812	0.3647010971	0.09772136444	0.7883316299
84	18	0.379474359623211	0.3591118962	0.1166825282	0.7877441812
84	21	0.379434216000510	0.3525392682	0.1353271460	0.7870533702
84	24	0.379390546941832	0.3450038025	0.1536055894	0.7862613608
84	27	0.379341125788752	0.3365229772	0.1714670212	0.7853699902
84	30	0.379283406269606	0.3271167505	0.1888609440	0.7843813559
84	33	0.379221944623418	0.3168138373	0.2057413116	0.7832984761
84	36	0.379154402753099	0.3056394146	0.2220600329	0.7821239969
84	39	0.379080776608685	0.2936232194	0.2377713948	0.7808610439
84	42	0.379003419284498	0.2807991814	0.2528327186	0.7795131832
84	45	0.378920100253411	0.2672000555	0.2672000555	0.7780838575

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87	3	0.378406770241693	0.3773717099	0.01977721328	0.7697772133
87	6	0.378405146218602	0.3758220768	0.03950049197	0.7696960004
87	9	0.378402466954463	0.3732440113	0.05911604383	0.7695608898
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87	15	0.378389715966470	0.3650289886	0.09780922270	0.7691303587
87	18	0.378373655417657	0.3594085680	0.1167789227	0.7688358049
87	21	0.378352813131100	0.3528007589	0.1354275229	0.7684895043
87	24	0.378331432392062	0.3452275234	0.1537051964	0.7680926078
87	27	0.378307256369978	0.3367073407	0.1715609591	0.7676460840
87	30	0.378277403304176	0.3272609468	0.1889441957	0.7671510195
87	33	0.378246588099774	0.3169183086	0.2058091560	0.7666089848
87	36	0.378212385197747	0.3057055936	0.2221081148	0.7660213513
87	39	0.378174695974827	0.2936534809	0.2377959001	0.7653897268
87	42	0.378135800488460	0.2807967829	0.2528305590	0.7647159358
87	45	0.378093377182010	0.2671690039	0.2671690039	0.7640017342

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90	3	0.377231492889241	0.3767145102	0.01974277091	0.7500000000
90	6	0.377234700939559	0.3751681698	0.03943176358	0.7500000000
90	9	0.377239975957272	0.3725955259	0.05901333383	0.7500000000
90	12	0.377246566065933	0.3690028235	0.07843397141	0.7500000000
90	15	0.377252011548428	0.3643974610	0.09764000539	0.7500000000
90	18	0.377252587857292	0.3587885320	0.1165774608	0.7500000000
90	21	0.377252147060256	0.3521952203	0.1351950784	0.7500000000
90	24	0.377254225461111	0.3446388840	0.1534431173	0.7500000000
90	27	0.377256143358644	0.3361376850	0.1712707051	0.7500000000
90	30	0.377255529465692	0.3267128722	0.1886277647	0.7500000000
90	33	0.377256844852038	0.3163942123	0.2054688039	0.7500000000
90	36	0.377257285720745	0.3052075554	0.2217462689	0.7500000000
90	39	0.377256931765324	0.2931837010	0.2374154798	0.7500000000
90	42	0.377257842728203	0.2803572137	0.2524347691	0.7500000000
90	45	0.377257619812157	0.2667614212	0.2667614212	0.7500000000

93	0	0.376035090116341	0.3755197471	0.000000000	0.7303198440
93	3	0.376037826882511	0.3750092463	0.01965340181	0.7303465982
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93	9	0.376059188485419	0.3709326768	0.05874996442	0.7305602421
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93	45	0.376411516915688	0.2659805649	0.2659805649	0.7360605493

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96	3	0.374828327827663	0.3722696745	0.01950982693	0.7108728806
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96	33	0.375234029196656	0.3134822084	0.2035777265	0.7170516922
96	36	0.375306212532869	0.3025373575	0.2198062565	0.7182020424
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96	45	0.375553677496775	0.2648261821	0.2648261821	0.7221656467

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99	3	0.373605056906085	0.3685120004	0.01931289558	0.6916334331
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99	24	0.373925084767193	0.3380769720	0.1505215658	0.6964538680
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99	30	0.374099069691526	0.3209739303	0.1853143851	0.6991627237
99	33	0.374200711156006	0.3110985444	0.2020297570	0.7007268312
99	36	0.374309312475175	0.3003668091	0.2182292608	0.7024265711
99	39	0.374426252423689	0.2888042932	0.2338691054	0.7042578937
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99	45	0.374682718129362	0.2632946085	0.2632946085	0.7082982308

102	0	0.372361561212346	0.3642245677	0.000000000	0.6725816782
102	3	0.372368620131949	0.3637538410	0.01906353101	0.6726817343
102	6	0.372389261283523	0.3623418326	0.03808366123	0.6729818659
102	9	0.372422119474773	0.3599893216	0.05701670723	0.6734819076
102	12	0.372467931935260	0.3567005803	0.07581904889	0.6741809511
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102	24	0.372785714505991	0.3343122421	0.1488454000	0.6789397393
102	27	0.372895315567738	0.3264491485	0.1663341491	0.6806110914
102	30	0.373018029351577	0.3177051771	0.1834271695	0.6824696799
102	33	0.373152618664169	0.3080950232	0.2000792475	0.6845123812
102	36	0.373297513825451	0.2976354219	0.2162447918	0.6867356381
102	39	0.373454056483795	0.2863478327	0.2318799028	0.6891348892
102	42	0.373620968473777	0.2742540508	0.2469394565	0.6917055019
102	45	0.373797314749803	0.2613788108	0.2613788108	0.6944422187

105	0	0.371109785921602	0.3584645266	0.000000000	0.6539497196
105	3	0.371117980214395	0.3580140137	0.01876271941	0.6540704342
105	6	0.371142457640046	0.3566627536	0.03748676596	0.6544325032
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105	12	0.371240692078798	0.3512638414	0.07466343436	0.6558791374
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105	24	0.371633837631167	0.3297684135	0.1468223572	0.6616388199
105	27	0.371770356509550	0.3221946828	0.1641663906	0.6636681949
105	30	0.371923317366968	0.3137582383	0.1811484033	0.6659287334
105	33	0.372090205439696	0.3044680322	0.1977238520	0.6684180367
105	36	0.372270884618404	0.2943371755	0.2138484756	0.6711325915
105	39	0.372466436019850	0.2833819692	0.2294781939	0.6740680302
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105	45	0.372895952499099	0.2590681916	0.2590681916	0.6805828873

108	0	0.369851990765682	0.3517501459	0.000000000	0.6357094494
108	3	0.369861736378057	0.3513232889	0.01841207338	0.6358481437
108	6	0.369890977412242	0.3500427550	0.03679097607	0.6362642144
108	9	0.369939919118536	0.3479088552	0.05510334931	0.6369575605
108	12	0.370008585021912	0.3449218636	0.07331540536	0.6379280929
108	15	0.370096536682923	0.3410818548	0.09139260754	0.6391757874
108	18	0.370203404472377	0.3363893419	0.1092995228	0.6407004772
108	21	0.370328497936770	0.3308450940	0.1269995328	0.6425019125
108	24	0.370472109733369	0.3244515091	0.1444551188	0.6445793142
108	27	0.370634466424929	0.3172118584	0.1616275147	0.6469316193
108	30	0.370815642301807	0.3091304689	0.1784765594	0.6495574219
108	33	0.371013780817103	0.3002115760	0.1949596770	0.6524553459
108	36	0.371229272572365	0.2904631476	0.2110338296	0.6556228023
108	39	0.371462481436200	0.2798952020	0.2266546655	0.6590565360
108	42	0.371711353284729	0.2685183981	0.2417750517	0.6627530836
108	45	0.371976807213770	0.2563484705	0.2563484705	0.6667073328

111	0	0.368596343589866	0.3441143317	0.000000000	0.6179068841
111	3	0.368607501569858	0.3437135969	0.01801326632	0.6180607118
111	6	0.368640975393602	0.3425110709	0.03599936418	0.6185223183
111	9	0.368696884253796	0.3405059204	0.05393083964	0.6192920234
111	12	0.368774868479495	0.3376963108	0.07177956671	0.6203705315
111	15	0.368873683461136	0.3340791652	0.08951624253	0.6217590236
111	18	0.368994605176925	0.3296534173	0.1071108882	0.6234579091
111	21	0.369137597006271	0.3244166766	0.1245318945	0.6254681055
111	24	0.369302206639694	0.3183663160	0.1417458163	0.6277906213
111	27	0.369488473457313	0.3115005505	0.1587174580	0.6304261418
111	30	0.369695750636846	0.3038177411	0.1754092546	0.6333752960
111	33	0.369923554851943	0.2953175050	0.1917814302	0.6366382309
111	36	0.370172610098006	0.2860019020	0.2077925449	0.6402141559
111	39	0.370441952789600	0.2758735377	0.2233979860	0.6441020707
111	42	0.370730226517772	0.2649371665	0.2385504962	0.6483001502
111	45	0.371038613741863	0.2532022315	0.2532022315	0.6528047697

114	0	0.367344050873519	0.3355854891	0.000000000	0.6005877139
114	3	0.367356185775008	0.3352126082	0.01756774838	0.6007537312
114	6	0.367392615319579	0.3340933250	0.03511462343	0.6012520682
114	9	0.367453545656706	0.3322258579	0.05261940656	0.6020835181
114	12	0.367538941303903	0.3296069638	0.07006012293	0.6032495248
114	15	0.367648636165218	0.3262321543	0.08741364230	0.6047520868
114	18	0.367783343308374	0.3220967452	0.1046555766	0.6065932896
114	21	0.367942501972176	0.3171941482	0.1217594256	0.6087760664
114	24	0.368125664409866	0.3115173837	0.1386964752	0.6113035248
114	27	0.368333403753791	0.3050601401	0.1554359050	0.6141784749
114	30	0.368565392582448	0.2978154844	0.1719438501	0.6174040034
114	33	0.368821070580104	0.2897768845	0.1881833091	0.6209830187
114	36	0.369101290542642	0.2809399591	0.2041148281	0.6249174713
114	39	0.369404467031371	0.2712999823	0.2196943938	0.6292094656
114	42	0.369730539893703	0.2608555671	0.2348754076	0.6338596188
114	45	0.370079830618703	0.2496082822	0.2496082822	0.6388672327

117	0	0.366096317654670	0.3261942075	0.000000000	0.5837957498
117	3	0.366109494102172	0.3258508846	0.01707712124	0.5839706815
117	6	0.366149024551368	0.3248199350	0.03413995087	0.5844959766
117	9	0.366215053135230	0.3230985605	0.05117378467	0.5853730607
117	12	0.366307581852594	0.3206819534	0.06816305339	0.5866043836
117	15	0.366426886416204	0.3175637658	0.08509095460	0.5881931795
117	18	0.366573441579139	0.3137361826	0.1019390651	0.5901434305
117	21	0.366746267976248	0.3091887097	0.1186864257	0.5924604837
117	24	0.366945730433441	0.3039108449	0.1353098259	0.5951496902
117	27	0.367172633290057	0.2978915622	0.1517833321	0.5982166679
117	30	0.367426321105474	0.2911181335	0.1680771327	0.6016679022
117	33	0.367707122341159	0.2835785922	0.1841580910	0.6055094903
117	36	0.368015179277721	0.2752612696	0.1999890187	0.6097473779
117	39	0.368349716358257	0.2661548666	0.2155279613	0.6143873220
117	42	0.368711771082510	0.2562511280	0.2307295520	0.6194335288
117	45	0.369099716162327	0.2455423302	0.2455423302	0.6248899338

120	0	0.364861950916689	0.3159797184	0.000000000	0.5675690245
120	3	0.364875987601892	0.3156669156	0.01654340204	0.5677496213
120	6	0.364918080615808	0.3147272324	0.03307916508	0.5682921477
120	9	0.364988281970716	0.3131569493	0.04959918815	0.5691987510
120	12	0.365086360093127	0.3109496528	0.06609438904	0.5704731343
120	15	0.365212709258035	0.3080971020	0.08255436968	0.5721200552
120	18	0.365367854097349	0.3045889202	0.09896693941	0.5741455050
120	21	0.365551680344254	0.3004121243	0.1153174102	0.5765569792
120	24	0.365764934350021	0.2955526028	0.1315884968	0.5793626252
120	27	0.366007711511599	0.2899941449	0.1477593971	0.5825718024
120	30	0.366279831826281	0.2837191377	0.1638053206	0.5861946794
120	33	0.366582778236050	0.2767104969	0.1796978978	0.5902411201
120	36	0.366915790733964	0.2689491565	0.1954030001	0.5947221321
120	39	0.367278926609922	0.2604171020	0.2108816112	0.5996481161
120	42	0.367673060057043	0.2510980059	0.2260896600	0.6050284987
120	45	0.368096664066491	0.2409758323	0.2409758323	0.6108725383

123	0	0.363643104732545	0.3049767692	0.000000000	0.5519457703
123	3	0.363657635462328	0.3046947847	0.01596837703	0.5521288932
123	6	0.363701250890497	0.3038473658	0.03193564502	0.5526792135
123	9	0.363774111476832	0.3024302018	0.04790023825	0.5535995305
123	12	0.363876252047659	0.3004359522	0.06385963301	0.5548946113
123	15	0.364008129101550	0.2978547598	0.07980994234	0.5565708573
123	18	0.364170029873372	0.2946738484	0.09574533730	0.5586365653
123	21	0.364362321590154	0.2908778593	0.1116575488	0.5611017095
123	24	0.364586347050607	0.2864497292	0.1275356363	0.5639773708
123	27	0.364842011533072	0.2813689965	0.1433646644	0.5672768372
123	30	0.365129745467095	0.2756136930	0.1591256399	0.5710143750
123	33	0.365450456195943	0.2691606676	0.1747949813	0.5752050187
123	36	0.365804141790457	0.2619850437	0.1903432760	0.5798649233
123	39	0.366192175251826	0.2540625146	0.2057357678	0.5850098738
123	42	0.366614349258025	0.2453679549	0.2209302990	0.5906561869
123	45	0.367070864365998	0.2358777811	0.2358777811	0.5968191779

126	0	0.362444568552448	0.2932238155	0.000000000	0.5369604278
126	3	0.362459396225407	0.2929725975	0.01535404322	0.5371429484
126	6	0.362503969290574	0.2922173662	0.03071328280	0.5376916560
126	9	0.362578592436751	0.2909534207	0.04608249469	0.5386099662
126	12	0.362683404293980	0.2891726412	0.06146554235	0.5399037782
126	15	0.362818947153584	0.2868639707	0.07686496928	0.5415811255
126	18	0.362985460295579	0.2840128921	0.09228138264	0.5436525554
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126	24	0.363414619185018	0.2766115722	0.1231554066	0.5490299291
126	27	0.363678784630614	0.2720178124	0.1385999981	0.5523674909
126	30	0.363977738023190	0.2667955648	0.1540344912	0.5561616759
126	33	0.364311807171808	0.2609162495	0.1694409936	0.5604332485
126	36	0.364682525117439	0.2543502203	0.1847962521	0.5652037479
126	39	0.365090845770484	0.2470660012	0.2000701029	0.5704960429
126	42	0.365536622941111	0.2390307163	0.2152242237	0.5763340191
126	45	0.366021806805497	0.2302131377	0.2302131377	0.5827403650

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129	3	0.361288532735410	0.2805413381	0.01470254853	0.5228221037
129	6	0.361333196672296	0.2798765409	0.02941620980	0.5233604459
129	9	0.361407962373197	0.2787629619	0.04415171570	0.5242622044
129	12	0.361513188639428	0.2771921104	0.05891900190	0.5255342549
129	15	0.361649575786359	0.2751522259	0.07372681672	0.5271861208
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129	21	0.362018297471326	0.2696003184	0.1034898661	0.5316819668
129	24	0.362252484765876	0.2660473856	0.1184519277	0.5345590751
129	27	0.362521649302854	0.2619437369	0.1334670003	0.5378821442
129	30	0.362827827389616	0.2572610746	0.1485297507	0.5416740894
129	33	0.363171107050361	0.2519665109	0.1636289654	0.5459615426
129	36	0.363553608236344	0.2460257146	0.1787481446	0.5507723046
129	39	0.363976276866252	0.2394010746	0.1938631677	0.5561368323
129	42	0.364440952921271	0.2320537461	0.2089421314	0.5620865816
129	45	0.364949417894204	0.2239438114	0.2239438114	0.5686538772

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132	3	0.360147250451106	0.2674388121	0.01401587424	0.5091970120
132	6	0.360191261215444	0.2668614745	0.02804827119	0.5097168491
132	9	0.360264997377677	0.2658935729	0.04211340473	0.5105883516
132	12	0.360369010104027	0.2645265367	0.05622685110	0.5118192366
132	15	0.360504236031374	0.2627484041	0.07040322268	0.5134202743
132	18	0.360671520780917	0.2605433979	0.08465568170	0.5154056708
132	21	0.360871923890760	0.2578920685	0.09899549002	0.5177929385
132	24	0.361106268333836	0.2547708946	0.1134313105	0.5206032561
132	27	0.361376565724437	0.2511532309	0.1279689629	0.5238606151
132	30	0.361684276202667	0.2470080361	0.1426101562	0.5275929653
132	33	0.362031257098594	0.2423005792	0.1573518360	0.5318315785
132	36	0.362419560889607	0.2369924155	0.1721850687	0.5366110706
132	39	0.362851779936941	0.2310418577	0.1870940074	0.5419689769
132	42	0.363329812456888	0.2244036107	0.2020539187	0.5479460813
132	45	0.363854679246556	0.2170294138	0.2170294138	0.5545858381

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135	3	0.359042480734271	0.2537072261	0.01329623231	0.4962927739
135	6	0.359085261159240	0.2532132807	0.02661378823	0.4967867193
135	9	0.359156991971824	0.2523844709	0.03997377318	0.4976155291
135	12	0.359258317960352	0.2512123769	0.05339683908	0.4987876231
135	15	0.359390120186308	0.2496850607	0.06690291038	0.5003149393
135	18	0.359553431651168	0.2477868794	0.08051083760	0.5022131206
135	21	0.359749509366124	0.2454983799	0.09423799871	0.5045016201
135	24	0.359979715620998	0.2427960429	0.1080997630	0.5072039571
135	27	0.360246200800433	0.2396525592	0.1221090780	0.5103474408
135	30	0.360551148061748	0.2360361326	0.1362755247	0.5139638674
135	33	0.360897393444111	0.2319107416	0.1506045965	0.5180892584
135	36	0.361286300410374	0.2272346928	0.1650956682	0.5227653072
135	39	0.361721164302577	0.2219628591	0.1797419792	0.5280371409
135	42	0.362204577140888	0.2160451728	0.1945279474	0.5339548272
135	45	0.362739804843850	0.2094279240	0.2094279240	0.5405720760


### +y patch
# N_rho = 31
# N_sigma = 16
# ghosted_gfn=-1
# dpx = 90 - dsigma = 90 - dphi
# dpy = drho = dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
45	45	0.389232665436660	0.2247235842	0.2247235842	0.9747235842
42	45	0.389593876932577	0.2092378229	0.2323821447	0.9823821447
39	45	0.389916188882872	0.1937522999	0.2392641643	0.9892641643
36	45	0.390203215298128	0.1783097241	0.2454222805	0.9954222805
33	45	0.390457085716490	0.1629400293	0.2509056423	1.000905642
30	45	0.390680926488495	0.1476635105	0.2557607026	1.005760703
27	45	0.390876471023880	0.1324915165	0.2600292422	1.010029242
24	45	0.391046422145253	0.1174289098	0.2637496497	1.013749650
21	45	0.391192687341913	0.1024746803	0.2669556691	1.016955669
18	45	0.391316378233948	0.08762316419	0.2696763699	1.019676370
15	45	0.391418940144470	0.07286529262	0.2719369742	1.021936974
12	45	0.391501233621583	0.05818912834	0.2737583252	1.023758325
9	45	0.391564344495861	0.04358067542	0.2751575554	1.025157555
6	45	0.391608894420997	0.02902429398	0.2761477110	1.026147711
3	45	0.391635426274789	0.01450322981	0.2767381103	1.026738110
0	45	0.391644231590707	0.000000000	0.2769342920	1.026934292

45	48	0.388464031021682	0.2317082224	0.2317082224	0.9586310206
42	48	0.388828360839071	0.2162340972	0.2401522945	0.9662340972
39	48	0.389156012418814	0.2006570228	0.2477907868	0.9731118266
36	48	0.389448560435335	0.1850265117	0.2546671456	0.9793033278
33	48	0.389709073503057	0.1693816128	0.2608248111	0.9848477148
30	48	0.389939883648321	0.1537511895	0.2663048720	0.9897819838
27	48	0.390142908099794	0.1381555642	0.2711455617	0.9941405603
24	48	0.390320088243262	0.1226080049	0.2753820877	0.9979551455
21	48	0.390472517099695	0.1071156153	0.2790457181	1.001253893
18	48	0.390601863390760	0.09168083730	0.2821646036	1.004062150
15	48	0.390709270659907	0.07630199326	0.2847629156	1.006401681
12	48	0.390795653180519	0.06097419142	0.2868610168	1.008290820
9	48	0.390862078264963	0.04569006985	0.2884757477	1.009744730
6	48	0.390909042489929	0.03044027998	0.2896199178	1.010774945
3	48	0.390937042476028	0.01521412260	0.2903027529	1.011389773
0	48	0.390946338281526	0.000000000	0.2905297483	1.011594160

45	51	0.387688430056246	0.2378971452	0.2378971452	0.9426453098
42	51	0.388051328474391	0.2224784867	0.2470873916	0.9500874245
39	51	0.388378579116024	0.2068604643	0.2554513992	0.9568604643
36	51	0.388672730647726	0.1910984457	0.2630244457	0.9629929965
33	51	0.388936868617095	0.1752378870	0.2698426825	0.9685142958
30	51	0.389171454254585	0.1593139630	0.2759398782	0.9734517075
27	51	0.389378629236648	0.1433547423	0.2813495233	0.9778323517
24	51	0.389559687743078	0.1273810337	0.2861024860	0.9816812251
21	51	0.389716042908012	0.1114077973	0.2902272344	0.9850213804
18	51	0.389849457544154	0.09544506344	0.2937497004	0.9878738172
15	51	0.389960708005930	0.07949839726	0.2966920577	0.9902564911
12	51	0.390050524272600	0.06356998390	0.2990732603	0.9921847510
9	51	0.390119679946727	0.04765930746	0.3009090247	0.9936713236
6	51	0.390168596774788	0.03176370565	0.3022114720	0.9947260246
3	51	0.390197781331118	0.01587900333	0.3029894331	0.9953560051
0	51	0.390207472898718	0.000000000	0.3032481617	0.9955655194

45	54	0.386908555499866	0.2433500707	0.2433500707	0.9268041756
42	54	0.387263965365376	0.2280170606	0.2532386011	0.9339886134
39	54	0.387586363060014	0.2123976661	0.2622892739	0.9405643121
36	54	0.387879071304366	0.1965506809	0.2705288037	0.9465506809
33	54	0.388141954999691	0.1805243674	0.2779831484	0.9519665794
30	54	0.388376485714949	0.1643599817	0.2846798390	0.9568320099
27	54	0.388584680583612	0.1480917730	0.2906464694	0.9611670206
24	54	0.388767520210243	0.1317470996	0.2959088306	0.9649903498
21	54	0.388926301979603	0.1153478167	0.3004913359	0.9683197348
18	54	0.389061954705406	0.09891078029	0.3044160801	0.9711712284
15	54	0.389175071354223	0.08244864316	0.3077025253	0.9735589706
12	54	0.389266645141506	0.06597072041	0.3103678376	0.9754954333
9	54	0.389337198702909	0.04948342171	0.3124260288	0.9769907968
6	54	0.389387108922370	0.03299096675	0.3138880813	0.9780530401
3	54	0.389416901415205	0.01649598272	0.3147621010	0.9786880526
0	54	0.389426796762866	0.000000000	0.3150528966	0.9788993280

45	57	0.386124444208908	0.2481215099	0.2481215099	0.9111319926
42	57	0.386468115171413	0.2328946382	0.2586556998	0.9179729755
39	57	0.386782286296188	0.2173037984	0.2683478428	0.9242671267
36	57	0.387068040595769	0.2014077766	0.2772140223	0.9300248910
33	57	0.387325645174996	0.1852578859	0.2852721277	0.9352578859
30	57	0.387557430666962	0.1688997539	0.2925429551	0.9399796164
27	57	0.387763877656135	0.1523718114	0.2990465179	0.9442030794
24	57	0.387945525693686	0.1357068905	0.3048026666	0.9479411661
21	57	0.388103853494822	0.1189330575	0.3098312076	0.9512067388
18	57	0.388239124666586	0.1020734352	0.3141497311	0.9540112208
15	57	0.388352070908447	0.08514742917	0.3177745318	0.9563651939
12	57	0.388443791216191	0.06817119230	0.3207202439	0.9582781617
9	57	0.388514531566513	0.05115795225	0.3229985985	0.9597577425
6	57	0.388564708702698	0.03411883950	0.3246190737	0.9608100914
3	57	0.388594718993837	0.01706337604	0.3255886106	0.9614397160
0	57	0.388604694632471	0.000000000	0.3259113200	0.9616492859

45	60	0.385337384387875	0.2522625332	0.2522625332	0.8956438414
42	60	0.385664702744566	0.2371530879	0.2633851873	0.9020655088
39	60	0.385966244137310	0.2216113627	0.2736672417	0.9080018556
36	60	0.386241057795846	0.2056947762	0.2831145710	0.9134562738
33	60	0.386490539047769	0.1894566290	0.2917376251	0.9184347964
30	60	0.386715918659536	0.1729446164	0.2995488625	0.9229446164
27	60	0.386916852317447	0.1562005362	0.3065608134	0.9269929681
24	60	0.387094331208721	0.1392620133	0.3127876031	0.9305880069
21	60	0.387249324909350	0.1221621775	0.3182433527	0.9337378853
18	60	0.387382056690880	0.1049299113	0.3229410607	0.9364501083
15	60	0.387493535057509	0.08759083058	0.3268934300	0.9387320098
12	60	0.387584518663682	0.07016740356	0.3301116795	0.9405900670
9	60	0.387654767766120	0.05267939469	0.3326046080	0.9420293600
6	60	0.387704705578838	0.03514473148	0.3343797840	0.9430542583
3	60	0.387734636540018	0.01757980847	0.3354427284	0.9436679495
0	60	0.387744596037083	0.000000000	0.3357966703	0.9438722980

45	63	0.384547461286479	0.2558188901	0.2558188901	0.8803462349
42	63	0.384855038945119	0.2408315592	0.2674705436	0.8862830489
39	63	0.385139581283604	0.2253520095	0.2782865557	0.8917940824
36	63	0.385399834786254	0.2094362926	0.2882643266	0.8968780106
33	63	0.385637538714117	0.1931381489	0.2974066687	0.9015362666
30	63	0.385852498992518	0.1765060856	0.3057175081	0.9057708507
27	63	0.386044670579948	0.1595847325	0.3132026724	0.9095847325
24	63	0.386215322719318	0.1424154139	0.3198702568	0.9129820364
21	63	0.386365082108141	0.1250354663	0.3257285258	0.9159669735
18	63	0.386493813545128	0.1074786484	0.3307852668	0.9185435117
15	63	0.386602135047062	0.08977601246	0.3350486398	0.9207158088
12	63	0.386690276455668	0.07195589517	0.3385258710	0.9224875466
9	63	0.386757956189609	0.05404438785	0.3412228357	0.9238617187
6	63	0.386806024828957	0.03606602175	0.3431452753	0.9248412507
3	63	0.386834849969591	0.01804385229	0.3442972119	0.9254281917
0	63	0.386844443600226	0.000000000	0.3446809231	0.9256237023

45	66	0.383754724342970	0.2588316077	0.2588316077	0.8652392564
42	66	0.384039366595691	0.2439652477	0.2709508573	0.8706350940
39	66	0.384302927143718	0.2285548935	0.2822417881	0.8756621403
36	66	0.384544911429848	0.2126552264	0.2926948089	0.8803161250
33	66	0.384767204507504	0.1963194936	0.3023055098	0.8845950847
30	66	0.384968565394307	0.1795962904	0.3110698999	0.8884972426
27	66	0.385149201586384	0.1625321356	0.3189872767	0.8920222858
24	66	0.385310770488702	0.1451712034	0.3260598614	0.8951712034
21	66	0.385452591140900	0.1275538592	0.3322891638	0.8979446675
18	66	0.385574511869518	0.1097181904	0.3376778682	0.9003438733
15	66	0.385676578436122	0.09170003954	0.3422292066	0.9023702597
12	66	0.385759655170582	0.07353334797	0.3459472029	0.9040256183
9	66	0.385823933343488	0.05525004902	0.3488350807	0.9053113844
6	66	0.385869782601079	0.03688063272	0.3508957810	0.9062288672
3	66	0.385897336009797	0.01845442533	0.3521314122	0.9067790057
0	66	0.385906513100953	0.000000000	0.3525431421	0.9069623197

45	69	0.382959112852149	0.2613369562	0.2613369562	0.8503178585
42	69	0.383217206942088	0.2465853829	0.2738608122	0.8551253164
39	69	0.383456466610531	0.2312464928	0.2855656364	0.8596183775
36	69	0.383677388053379	0.2153733116	0.2964359322	0.8637910931
33	69	0.383880895928794	0.1990174085	0.3064599346	0.8676389471
30	69	0.384065488715402	0.1822272531	0.3156268608	0.8711578004
27	69	0.384231848381098	0.1650506217	0.3239300841	0.8743451092
24	69	0.384381108024156	0.1475334102	0.3313654646	0.8771992843
21	69	0.384512008723539	0.1297185908	0.3379284824	0.8797185908
18	69	0.384623820373155	0.1116477001	0.3436162886	0.8819019350
15	69	0.384718513087522	0.09336137889	0.3484294095	0.8837495191
12	69	0.384796055686870	0.07489798387	0.3523673100	0.8852611374
9	69	0.384856360086446	0.05629455394	0.3554298252	0.8864367269
6	69	0.384899421929137	0.03758707086	0.3576170909	0.8872763395
3	69	0.384925235748871	0.01881068821	0.3589293130	0.8877800544
0	69	0.384933821489764	0.000000000	0.3593666812	0.8879479443

45	72	0.382160383240635	0.2633664999	0.2633664999	0.8355729631
42	72	0.382388676071958	0.2487199842	0.2762315271	0.8397530639
39	72	0.382600714861592	0.2334508635	0.2882878075	0.8436703869
36	72	0.382797560247239	0.2176100891	0.2995145924	0.8473181904
33	72	0.382978943897126	0.2012471101	0.3098933739	0.8506904609
30	72	0.383143526051578	0.1844100693	0.3194076095	0.8537818235
27	72	0.383293001877830	0.1671476911	0.3280458145	0.8565885464
24	72	0.383427210743522	0.1495065940	0.3357973080	0.8591071593
21	72	0.383544016372592	0.1315316298	0.3426516103	0.8613342571
18	72	0.383644790492349	0.1132679819	0.3486030032	0.8632679819
15	72	0.383731163135055	0.09475957788	0.3536475592	0.8649070575
12	72	0.383802191632377	0.07604854157	0.3577802584	0.8662498529
9	72	0.383857079235869	0.05717634035	0.3609972055	0.8672951023
6	72	0.383895627257422	0.03818393986	0.3632959201	0.8680420000
3	72	0.383918088175178	0.01911181211	0.3646750992	0.8684901224
0	72	0.383925469356358	0.000000000	0.3651348194	0.8686394946

45	75	0.381358196403597	0.2649473068	0.2649473068	0.8209924169
42	75	0.381553644351175	0.2503933310	0.2780899671	0.8245139821
39	75	0.381735483185046	0.2351888943	0.2904340968	0.8278215817
36	75	0.381905211896330	0.2193828493	0.3019545875	0.8309084879
33	75	0.382061680012471	0.2030225627	0.3126273312	0.8337682409
30	75	0.382203639509095	0.1861555214	0.3224308211	0.8363950781
27	75	0.382333715880008	0.1688309598	0.3313494154	0.8387848083
24	75	0.382450185702174	0.1510956003	0.3393662746	0.8409329192
21	75	0.382551242041643	0.1329960553	0.3464665693	0.8428354374
18	75	0.382639603041185	0.1145801934	0.3526415748	0.8444900252
15	75	0.382715825010108	0.09589435143	0.3578825917	0.8458943514
12	75	0.382777830656095	0.07698376833	0.3621801544	0.8470458799
9	75	0.382823639995920	0.05789368962	0.3655263705	0.8479424958
6	75	0.382855266862222	0.03866980317	0.3679186008	0.8485834920
3	75	0.382873825278944	0.01935706308	0.3693547665	0.8489683114
0	75	0.382879930796489	0.000000000	0.3698336135	0.8490966181

45	78	0.380551388589885	0.2661016157	0.2661016157	0.8065616445
42	78	0.380711491707263	0.2516258368	0.2794588035	0.8094008024
39	78	0.380860600086793	0.2364786709	0.2920268383	0.8120722207
36	78	0.381000591717927	0.2207070516	0.3037771955	0.8145698362
33	78	0.381129595128980	0.2043563914	0.3146812472	0.8168875639
30	78	0.381246774422200	0.1874735568	0.3247137255	0.8190200330
27	78	0.381354940126232	0.1701076598	0.3338550802	0.8209630879
24	78	0.381450918534407	0.1523052315	0.3420831508	0.8227120183
21	78	0.381534589589993	0.1341146870	0.3493807045	0.8242631613
18	78	0.381608758089152	0.1155854838	0.3557355405	0.8256139234
15	78	0.381672547794180	0.09676565690	0.3611343480	0.8267614753
12	78	0.381721976922977	0.07770278929	0.3655628821	0.8277027893
9	78	0.381757834848406	0.05844597720	0.3690133771	0.8284362146
6	78	0.381782512738596	0.03904429421	0.3714816449	0.8289608612
3	78	0.381797066931917	0.01954622337	0.3729641599	0.8292759794
0	78	0.381801872206134	0.000000000	0.3734585853	0.8293810728

45	81	0.379739060743347	0.2668477688	0.2668477688	0.7922645345
42	81	0.379861699955546	0.2524345035	0.2803569188	0.7944041737
39	81	0.379975879798467	0.2373354392	0.2930848590	0.7964200814
36	81	0.380083726114927	0.2215958509	0.3050005228	0.7983073371
33	81	0.380182970324653	0.2052595594	0.3160720040	0.8000608875
30	81	0.380273284857013	0.1883728554	0.3262713563	0.8016763062
27	81	0.380357196515007	0.1709843453	0.3355756723	0.8031499650
24	81	0.380430669437109	0.1531403545	0.3439588678	0.8044777328
21	81	0.380495175372532	0.1348906286	0.3514021014	0.8056566252
18	81	0.380553222384702	0.1162855437	0.3578901035	0.8066842237
15	81	0.380602311615734	0.09737418595	0.3634054093	0.8075577624
12	81	0.380638129162471	0.07820615918	0.3679310512	0.8082745536
9	81	0.380663723875413	0.05883339921	0.3714594634	0.8088333992
6	81	0.380681355849986	0.03930738653	0.3739848012	0.8092333734
3	81	0.380691827432282	0.01967923447	0.3755021627	0.8094736999
0	81	0.380695301452884	0.000000000	0.3760083106	0.8095538658

45	84	0.378920100253411	0.2672000555	0.2672000555	0.7780838575
42	84	0.379003419284498	0.2528327186	0.2807991814	0.7795131832
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42	126	0.365536622941111	0.2152242237	0.2390307163	0.5763340191
39	126	0.365090845770484	0.2000701029	0.2470660012	0.5704960429
36	126	0.364682525117439	0.1847962521	0.2543502203	0.5652037479
33	126	0.364311807171808	0.1694409936	0.2609162495	0.5604332485
30	126	0.363977738023190	0.1540344912	0.2667955648	0.5561616759
27	126	0.363678784630614	0.1385999981	0.2720178124	0.5523674909
24	126	0.363414619185018	0.1231554066	0.2766115722	0.5490299291
21	126	0.363183690940307	0.1077130695	0.2806021396	0.5461306122
18	126	0.362985460295578	0.09228138264	0.2840128921	0.5436525554
15	126	0.362818947153583	0.07686496928	0.2868639707	0.5415811255
12	126	0.362683404293980	0.06146554235	0.2891726412	0.5399037782
9	126	0.362578592436751	0.04608249469	0.2909534207	0.5386099662
6	126	0.362503969290574	0.03071328280	0.2922173662	0.5376916560
3	126	0.362459396225407	0.01535404322	0.2929725975	0.5371429484
0	126	0.362444568552448	0.000000000	0.2932238155	0.5369604278

45	129	0.364949417894204	0.2239438114	0.2239438114	0.5686538772
42	129	0.364440952921271	0.2089421314	0.2320537461	0.5620865816
39	129	0.363976276866253	0.1938631677	0.2394010746	0.5561368323
36	129	0.363553608236344	0.1787481446	0.2460257146	0.5507723046
33	129	0.363171107050361	0.1636289654	0.2519665109	0.5459615426
30	129	0.362827827389616	0.1485297507	0.2572610746	0.5416740894
27	129	0.362521649302854	0.1334670003	0.2619437369	0.5378821442
24	129	0.362252484765876	0.1184519277	0.2660473856	0.5345590751
21	129	0.362018297471326	0.1034898661	0.2696003184	0.5316819668
18	129	0.361817584511914	0.08858214790	0.2726278183	0.5292303458
15	129	0.361649575786359	0.07372681672	0.2751522259	0.5271861208
12	129	0.361513188639428	0.05891900190	0.2771921104	0.5255342549
9	129	0.361407962373197	0.04415171570	0.2787629619	0.5242622044
6	129	0.361333196672296	0.02941620980	0.2798765409	0.5233604459
3	129	0.361288532735410	0.01470254853	0.2805413381	0.5228221037
0	129	0.361273670327352	0.000000000	0.2807623739	0.5226431125

45	132	0.363854679246556	0.2170294138	0.2170294138	0.5545858381
42	132	0.363329812456888	0.2020539187	0.2244036107	0.5479460813
39	132	0.362851779936941	0.1870940074	0.2310418577	0.5419689769
36	132	0.362419560889607	0.1721850687	0.2369924155	0.5366110706
33	132	0.362031257098594	0.1573518360	0.2423005792	0.5318315785
30	132	0.361684276202667	0.1426101562	0.2470080361	0.5275929653
27	132	0.361376565724437	0.1279689629	0.2511532309	0.5238606151
24	132	0.361106268333836	0.1134313105	0.2547708946	0.5206032561
21	132	0.360871923890760	0.09899549002	0.2578920685	0.5177929385
18	132	0.360671520780917	0.08465568170	0.2605433979	0.5154056708
15	132	0.360504236031374	0.07040322268	0.2627484041	0.5134202743
12	132	0.360369010104027	0.05622685110	0.2645265367	0.5118192366
9	132	0.360264997377677	0.04211340473	0.2658935729	0.5105883516
6	132	0.360191261215444	0.02804827119	0.2668614745	0.5097168491
3	132	0.360147250451106	0.01401587424	0.2674388121	0.5091970120
0	132	0.360132611683975	0.000000000	0.2676306869	0.5090242472

45	135	0.362739804843850	0.2094279240	0.2094279240	0.5405720760
42	135	0.362204577140888	0.1945279474	0.2160451728	0.5339548272
39	135	0.361721164302578	0.1797419792	0.2219628591	0.5280371409
36	135	0.361286300410374	0.1650956682	0.2272346928	0.5227653072
33	135	0.360897393444111	0.1506045965	0.2319107416	0.5180892584
30	135	0.360551148061748	0.1362755247	0.2360361326	0.5139638674
27	135	0.360246200800433	0.1221090780	0.2396525592	0.5103474408
24	135	0.359979715620998	0.1080997630	0.2427960429	0.5072039571
21	135	0.359749509366124	0.09423799871	0.2454983799	0.5045016201
18	135	0.359553431651168	0.08051083760	0.2477868794	0.5022131206
15	135	0.359390120186308	0.06690291038	0.2496850607	0.5003149393
12	135	0.359258317960352	0.05339683908	0.2512123769	0.4987876231
9	135	0.359156991971824	0.03997377318	0.2523844709	0.4976155291
6	135	0.359085261159240	0.02661378823	0.2532132807	0.4967867193
3	135	0.359042480734271	0.01329623231	0.2537072261	0.4962927739
0	135	0.359028258384256	0.000000000	0.2538713161	0.4961286839


### -z patch
# N_rho = 16
# N_sigma = 16
# ghosted_gfn=-1
# dpx = dsigma = dnu
# dpy = 180 - drho = 180 - dmu
#
# dpx	dpy	gridfn	global_x	global_y	global_z
135	45	0.362739778163861	0.2094279086	0.2094279086	0.5405720914
138	45	0.362204567839612	0.1945279424	0.2160451673	0.5339548327
141	45	0.361721171257942	0.1797419827	0.2219628633	0.5280371367
144	45	0.361286307552391	0.1650956714	0.2272346973	0.5227653027
147	45	0.360897394087615	0.1506045968	0.2319107420	0.5180892580
150	45	0.360551141191517	0.1362755221	0.2360361281	0.5139638719
153	45	0.360246203635679	0.1221090789	0.2396525611	0.5103474389
156	45	0.359979714660695	0.1080997627	0.2427960423	0.5072039577
159	45	0.359749509870763	0.09423799884	0.2454983803	0.5045016197
162	45	0.359553431455973	0.08051083755	0.2477868793	0.5022131207
165	45	0.359390122697201	0.06690291084	0.2496850624	0.5003149376
168	45	0.359258318819003	0.05339683921	0.2512123775	0.4987876225
171	45	0.359156991693822	0.03997377315	0.2523844707	0.4976155293
174	45	0.359085261049861	0.02661378822	0.2532132806	0.4967867194
177	45	0.359042480685012	0.01329623231	0.2537072261	0.4962927739
180	45	0.359028258354070	3.109026947e-17	0.2538713161	0.4961286839

135	42	0.362204567839612	0.2160451673	0.1945279424	0.5339548327
138	42	0.361608215897019	0.2010965094	0.2010965094	0.5266597000
141	42	0.361064683636398	0.1861725430	0.2070064409	0.5200960561
144	42	0.360572694615519	0.1713076249	0.2123015135	0.5142152822
147	42	0.360130266622549	0.1565255970	0.2170228406	0.5089717172
150	42	0.359734811075349	0.1418414926	0.2212082689	0.5043233282
153	42	0.359383972946796	0.1272633553	0.2248924758	0.5002316019
156	42	0.359075555879572	0.1127934196	0.2281067114	0.4966618316
159	42	0.358808218034731	0.09842936792	0.2308791470	0.4935827300
162	42	0.358579627207271	0.08416467903	0.2332336829	0.4909677529
165	42	0.358388708889807	0.06999007933	0.2351914179	0.4887934679
168	42	0.358234155548282	0.05589375878	0.2367697617	0.4870405395
171	42	0.358115213288401	0.04186210436	0.2379830240	0.4856930752
174	42	0.358030944326679	0.02788004625	0.2388420061	0.4847390790
177	42	0.357980657723265	0.01393155681	0.2393543528	0.4841700603
180	42	0.357963933220236	3.257793716e-17	0.2395246237	0.4839809553

135	39	0.361721171257942	0.2219628633	0.1797419827	0.5280371367
138	39	0.361064683636398	0.2070064409	0.1861725430	0.5200960561
141	39	0.360463013820804	0.1919919131	0.1919919131	0.5129097325
144	39	0.359915246436417	0.1769592739	0.1972338700	0.5064364548
147	39	0.359418829192388	0.1619383536	0.2019303354	0.5006368030
150	39	0.358972880326450	0.1469516624	0.2061125044	0.4954722544
153	39	0.358574814032131	0.1320139222	0.2098084923	0.4909080894
156	39	0.358223618432277	0.1171345400	0.2130448539	0.4869115157
159	39	0.357918186793242	0.1023177709	0.2158454286	0.4834530939
162	39	0.357656421323950	0.08756338931	0.2182306440	0.4805075983
165	39	0.357437327817521	0.07286809696	0.2202186949	0.4780525599
168	39	0.357259454413146	0.05822573321	0.2218245756	0.4760694624
171	39	0.357122161294180	0.04362813711	0.2230608560	0.4745427832
174	39	0.357024618614058	0.02906544757	0.2239370783	0.4734607388
177	39	0.356966325961512	0.01452665738	0.2244600966	0.4728148649
180	39	0.356946924350422	3.397168515e-17	0.2246339780	0.4726001393

135	36	0.361286307552391	0.2272346973	0.1650956714	0.5227653027
138	36	0.360572694615519	0.2123015135	0.1713076249	0.5142152822
141	36	0.359915246436417	0.1972338700	0.1769592739	0.5064364548
144	36	0.359312123185325	0.1820748983	0.1820748983	0.4993954018
147	36	0.358762601850691	0.1668600647	0.1866792667	0.4930580325
150	36	0.358266341393149	0.1516174420	0.1907966888	0.4873908871
153	36	0.357821781825628	0.1363678619	0.1944496614	0.4823630015
156	36	0.357428162585514	0.1211266921	0.1976595310	0.4779449951
159	36	0.357083728091247	0.1059039417	0.2004452371	0.4741107996
162	36	0.356787646166170	0.09070571937	0.2028241545	0.4708365008
165	36	0.356539009534788	0.07553453377	0.2048114070	0.4681012822
168	36	0.356336744883562	0.06038994623	0.2064197118	0.4658876407
171	36	0.356180350523869	0.04526930010	0.2076597403	0.4641808879
174	36	0.356069031081102	0.03016808029	0.2085395823	0.4629698893
177	36	0.356002414950667	0.01508052081	0.2090651400	0.4622465211
180	36	0.355980222259944	3.526909909e-17	0.2092399248	0.4620059505

135	33	0.360897394087615	0.2319107420	0.1506045968	0.5180892580
138	33	0.360130266622549	0.2170228406	0.1565255970	0.5089717172
141	33	0.359418829192388	0.2019303354	0.1619383536	0.5006368030
144	33	0.358762601850691	0.1866792667	0.1668600647	0.4930580325
147	33	0.358162315394884	0.1713090630	0.1713090630	0.4862071759
150	33	0.357616957218398	0.1558515236	0.1753028763	0.4800572427
153	33	0.357126172277672	0.1403327254	0.1788588530	0.4745815188
156	33	0.356689639980513	0.1247732960	0.1819934980	0.4697545887
159	33	0.356306074681539	0.1091887403	0.1847216477	0.4655536066
162	33	0.355975503070826	0.09359088288	0.1870573889	0.4619568805
165	33	0.355697096594446	0.07798772198	0.1890127691	0.4589458592
168	33	0.355470243050957	0.06238439343	0.1905982035	0.4565045043
171	33	0.355294568558744	0.04678368786	0.1918223916	0.4546194199
174	33	0.355169342622001	0.03118648072	0.1926919246	0.4532804564
177	33	0.355094343001939	0.01559235885	0.1932117020	0.4524800696
180	33	0.355069351742708	3.646829349e-17	0.1933846291	0.4522137851

135	30	0.360551141191517	0.2360361281	0.1362755221	0.5139638719
138	30	0.359734811075349	0.2212082689	0.1418414926	0.5043233282
141	30	0.358972880326450	0.2061125044	0.1469516624	0.4954722544
144	30	0.358266341393149	0.1907966888	0.1516174420	0.4873908871
147	30	0.357616957218398	0.1753028763	0.1558515236	0.4800572427
150	30	0.357023955391921	0.1596659668	0.1596659668	0.4734504333
153	30	0.356488499264427	0.1439164369	0.1630736868	0.4675480891
156	30	0.356010305449142	0.1280791474	0.1660866262	0.4623295250
159	30	0.355588690742588	0.1121744725	0.1687158889	0.4577755083
162	30	0.355224427236309	0.09621939635	0.1709723819	0.4538671479
165	30	0.354916689808543	0.08022700983	0.1728651813	0.4505887232
168	30	0.354665443449026	0.06420781043	0.1744025042	0.4479260018
171	30	0.354470475681161	0.04816989663	0.1755911296	0.4458672422
174	30	0.354331266335242	0.03211948948	0.1764362383	0.4444034710
177	30	0.354247794106261	0.01606152194	0.1769417469	0.4435279044
180	30	0.354219964144248	3.756769230e-17	0.1771099821	0.4432365125

135	27	0.360246203635679	0.2396525611	0.1221090789	0.5103474389
138	27	0.359383972946796	0.2248924758	0.1272633553	0.5002316019
141	27	0.358574814032131	0.2098084923	0.1320139222	0.4909080894
144	27	0.357821781825628	0.1944496614	0.1363678619	0.4823630015
147	27	0.357126172277672	0.1788588530	0.1403327254	0.4745815188
150	27	0.356488499264427	0.1630736868	0.1439164369	0.4675480891
153	27	0.355910569841533	0.1471277740	0.1471277740	0.4612454850
156	27	0.355391896161463	0.1310493940	0.1499746166	0.4556582419
159	27	0.354933595827048	0.1148636088	0.1524652652	0.4507700688
162	27	0.354536494355590	0.09859175460	0.1546074574	0.4465657800
165	27	0.354200229579873	0.08225170360	0.1564077722	0.4430324631
168	27	0.353925168037716	0.06585891563	0.1578723015	0.4401581626
171	27	0.353711257404596	0.04942654205	0.1590060299	0.4379330953
174	27	0.353558059549942	0.03296596187	0.1598127468	0.4363498242
177	27	0.353466001826937	0.01648736748	0.1602955409	0.4354022875
180	27	0.353435282779623	3.856573724e-17	0.1604562607	0.4350868572

135	24	0.359979714660695	0.2427960423	0.1080997627	0.5072039577
138	24	0.359075555879572	0.2281067114	0.1127934196	0.4966618316
141	24	0.358223618432277	0.2130448539	0.1171345400	0.4869115157
144	24	0.357428162585514	0.1976595310	0.1211266921	0.4779449951
147	24	0.356689639980513	0.1819934980	0.1247732960	0.4697545887
150	24	0.356010305449142	0.1660866262	0.1280791474	0.4623295250
153	24	0.355391896161464	0.1499746166	0.1310493940	0.4556582419
156	24	0.354835323122358	0.1336891539	0.1336891539	0.4497292442
159	24	0.354342621164305	0.1172589570	0.1360040184	0.4445299734
162	24	0.353914340532967	0.1007090453	0.1379988851	0.4400494292
165	24	0.353550626225112	0.08406164184	0.1396781753	0.4362776817
168	24	0.353252051064754	0.06733676174	0.1410460240	0.4332054432
171	24	0.353019347600159	0.05055242709	0.1421060718	0.4308245369
174	24	0.352852834319689	0.03372494135	0.1428611441	0.4291286168
177	24	0.352752859363076	0.01686938648	0.1433133567	0.4281129307
180	24	0.352719505071594	3.946121843e-17	0.1434639474	0.4277746983

135	21	0.359749509870763	0.2454983803	0.09423799884	0.5045016197
138	21	0.358808218034731	0.2308791470	0.09842936792	0.4935827300
141	21	0.357918186793242	0.2158454286	0.1023177709	0.4834530939
144	21	0.357083728091247	0.2004452371	0.1059039417	0.4741107996
147	21	0.356306074681539	0.1847216477	0.1091887403	0.4655536066
150	21	0.355588690742588	0.1687158889	0.1121744725	0.4577755083
153	21	0.354933595827048	0.1524652652	0.1148636088	0.4507700688
156	21	0.354342621164305	0.1360040184	0.1172589570	0.4445299734
159	21	0.353818254709861	0.1193637763	0.1193637763	0.4390467315
162	21	0.353360175592094	0.1025725627	0.1211804586	0.4343141125
165	21	0.352970039715050	0.08565683349	0.1227119867	0.4303243454
168	21	0.352649956954897	0.06864096031	0.1239613390	0.4270696714
171	21	0.352400428355305	0.05154708868	0.1249306650	0.4245444908
174	21	0.352221927640301	0.03439597411	0.1256217447	0.4227441665
177	21	0.352114770423859	0.01720729260	0.1260358836	0.4216652978
180	21	0.352079019475505	4.025341544e-17	0.1261738363	0.4213059188

135	18	0.359553431455973	0.2477868793	0.08051083755	0.5022131207
138	18	0.358579627207271	0.2332336829	0.08416467903	0.4909677529
141	18	0.357656421323950	0.2182306440	0.08756338931	0.4805075983
144	18	0.356787646166170	0.2028241545	0.09070571937	0.4708365008
147	18	0.355975503070826	0.1870573889	0.09359088288	0.4619568805
150	18	0.355224427236309	0.1709723819	0.09621939635	0.4538671479
153	18	0.354536494355590	0.1546074574	0.09859175460	0.4465657800
156	18	0.353914340532967	0.1379988851	0.1007090453	0.4400494292
159	18	0.353360175592094	0.1211804586	0.1025725627	0.4343141125
162	18	0.352874955332340	0.1041834401	0.1041834401	0.4293563415
165	18	0.352461751786445	0.08703782759	0.1055435333	0.4251704052
168	18	0.352122912144858	0.06977144609	0.1066545153	0.4217511540
171	18	0.351858688067318	0.05241011093	0.1075173627	0.4190955828
174	18	0.351669540227456	0.03497859215	0.1081329740	0.4172009262
177	18	0.351555765894312	0.01750078454	0.1085020139	0.4160651380
180	18	0.351517763576915	4.094156633e-17	0.1086249628	0.4156867404

135	15	0.359390122697201	0.2496850624	0.06690291084	0.5003149376
138	15	0.358388708889807	0.2351914179	0.06999007933	0.4887934679
141	15	0.357437327817521	0.2202186949	0.07286809696	0.4780525599
144	15	0.356539009534788	0.2048114070	0.07553453377	0.4681012822
147	15	0.355697096594446	0.1890127691	0.07798772198	0.4589458592
150	15	0.354916689808543	0.1728651813	0.08022700983	0.4505887232
153	15	0.354200229579874	0.1564077722	0.08225170360	0.4430324631
156	15	0.353550626225112	0.1396781753	0.08406164184	0.4362776817
159	15	0.352970039715050	0.1227119867	0.08565683349	0.4303243454
162	15	0.352461751786445	0.1055435333	0.08703782759	0.4251704052
165	15	0.352029148960233	0.08820541174	0.08820541174	0.4208129219
168	15	0.351674170972307	0.07072824165	0.08916015146	0.4172497847
171	15	0.351396698548165	0.05314105315	0.08990215356	0.4144805952
174	15	0.351197419282758	0.03547224305	0.09043174002	0.4125041516
177	15	0.351076639144498	0.01774948351	0.09074911852	0.4113196789
180	15	0.351036174218594	4.152469991e-17	0.09085484741	0.4109250934

135	12	0.359258318819003	0.2512123775	0.05339683921	0.4987876225
138	12	0.358234155548281	0.2367697617	0.05589375878	0.4870405395
141	12	0.357259454413146	0.2218245756	0.05822573321	0.4760694624
144	12	0.356336744883563	0.2064197118	0.06038994623	0.4658876407
147	12	0.355470243050957	0.1905982035	0.06238439343	0.4565045043
150	12	0.354665443449026	0.1744025042	0.06420781043	0.4479260018
153	12	0.353925168037717	0.1578723015	0.06585891563	0.4401581626
156	12	0.353252051064754	0.1410460240	0.06733676174	0.4332054432
159	12	0.352649956954897	0.1239613390	0.06864096031	0.4270696714
162	12	0.352122912144858	0.1066545153	0.06977144609	0.4217511540
165	12	0.351674170972307	0.08916015146	0.07072824165	0.4172497847
168	12	0.351304669508639	0.07151108493	0.07151108493	0.4135667967
171	12	0.351013543228411	0.05373911855	0.07211947236	0.4107045589
174	12	0.350803123317932	0.03587608101	0.07255365501	0.4086618901
177	12	0.350675873522262	0.01795296389	0.07281400448	0.4074370421
180	12	0.350633266157414	4.200184452e-17	0.07290075522	0.4070289120

135	9	0.359156991693822	0.2523844707	0.03997377315	0.4976155293
138	9	0.358115213288401	0.2379830240	0.04186210436	0.4856930752
141	9	0.357122161294180	0.2230608560	0.04362813711	0.4745427832
144	9	0.356180350523870	0.2076597403	0.04526930010	0.4641808879
147	9	0.355294568558745	0.1918223916	0.04678368786	0.4546194199
150	9	0.354470475681161	0.1755911296	0.04816989663	0.4458672422
153	9	0.353711257404597	0.1590060299	0.04942654205	0.4379330953
156	9	0.353019347600159	0.1421060718	0.05055242709	0.4308245369
159	9	0.352400428355306	0.1249306650	0.05154708868	0.4245444908
162	9	0.351858688067318	0.1075173627	0.05241011093	0.4190955828
165	9	0.351396698548166	0.08990215356	0.05314105315	0.4144805952
168	9	0.351013543228411	0.07211947236	0.05373911855	0.4107045589
171	9	0.350710333091599	0.05420395940	0.05420395940	0.4077696692
174	9	0.350491145511276	0.03619008580	0.05453582789	0.4056743340
177	9	0.350358716974354	0.01811121448	0.05473490021	0.4044174409
180	9	0.350314402608912	4.237295695e-17	0.05480124617	0.4039985490

135	6	0.359085261049861	0.2532132806	0.02661378822	0.4967867194
138	6	0.358030944326679	0.2388420061	0.02788004625	0.4847390790
141	6	0.357024618614058	0.2239370783	0.02906544757	0.4734607388
144	6	0.356069031081102	0.2085395823	0.03016808029	0.4629698893
147	6	0.355169342622001	0.1926919246	0.03118648072	0.4532804564
150	6	0.354331266335243	0.1764362383	0.03211948948	0.4444034710
153	6	0.353558059549943	0.1598127468	0.03296596187	0.4363498242
156	6	0.352852834319690	0.1428611441	0.03372494135	0.4291286168
159	6	0.352221927640301	0.1256217447	0.03439597411	0.4227441665
162	6	0.351669540227456	0.1081329740	0.03497859215	0.4172009262
165	6	0.351197419282758	0.09043174002	0.03547224305	0.4125041516
168	6	0.350803123317932	0.07255365501	0.03587608101	0.4086618901
171	6	0.350491145511276	0.05453582789	0.03619008580	0.4056743340
174	6	0.350265741716592	0.03641434497	0.03641434497	0.4035406506
177	6	0.350129636053590	0.01822425920	0.03654890272	0.4022604191
180	6	0.350084108582043	4.263807586e-17	0.03659375388	0.4018336888

135	3	0.359042480685012	0.2537072261	0.01329623231	0.4962927739
138	3	0.357980657723266	0.2393543528	0.01393155681	0.4841700603
141	3	0.356966325961512	0.2244600966	0.01452665738	0.4728148649
144	3	0.356002414950667	0.2090651400	0.01508052081	0.4622465211
147	3	0.355094343001939	0.1932117020	0.01559235885	0.4524800696
150	3	0.354247794106262	0.1769417469	0.01606152194	0.4435279044
153	3	0.353466001826939	0.1602955409	0.01648736748	0.4354022875
156	3	0.352752859363077	0.1433133567	0.01686938648	0.4281129307
159	3	0.352114770423860	0.1260358836	0.01720729260	0.4216652978
162	3	0.351555765894312	0.1085020139	0.01750078454	0.4160651380
165	3	0.351076639144499	0.09074911852	0.01774948351	0.4113196789
168	3	0.350675873522262	0.07281400448	0.01795296389	0.4074370421
171	3	0.350358716974354	0.05473490021	0.01811121448	0.4044174409
174	3	0.350129636053590	0.03654890272	0.01822425920	0.4022604191
177	3	0.349991356869325	0.01829209796	0.01829209796	0.4009659785
180	3	0.349945112633253	4.279718366e-17	0.01831471210	0.4005344750

135	0	0.359028258354071	0.2538713161	3.109026947e-17	0.4961286839
138	0	0.357963933220236	0.2395246237	3.257793716e-17	0.4839809553
141	0	0.356946924350423	0.2246339780	3.397168515e-17	0.4726001393
144	0	0.355980222259944	0.2092399248	3.526909909e-17	0.4620059505
147	0	0.355069351742709	0.1933846291	3.646829349e-17	0.4522137851
150	0	0.354219964144248	0.1771099821	3.756769230e-17	0.4432365125
153	0	0.353435282779624	0.1604562607	3.856573724e-17	0.4350868572
156	0	0.352719505071595	0.1434639474	3.946121843e-17	0.4277746983
159	0	0.352079019475506	0.1261738363	4.025341544e-17	0.4213059188
162	0	0.351517763576916	0.1086249628	4.094156633e-17	0.4156867404
165	0	0.351036174218595	0.09085484741	4.152469991e-17	0.4109250934
168	0	0.350633266157414	0.07290075522	4.200184452e-17	0.4070289120
171	0	0.350314402608912	0.05480124617	4.237295695e-17	0.4039985490
174	0	0.350084108582043	0.03659375388	4.263807586e-17	0.4018336888
177	0	0.349945112633253	0.01831471210	4.279718366e-17	0.4005344750
180	0	0.349898632142638	4.285022399e-17	4.285022399e-17	0.4001013679