diffraction order	population beta 0	population beta 1.8	population beta 3.6	population beta 5.4	population beta 7.2	population beta 9
-10.5	5	4	3.00000000002613	2.00000007743059	1.00000913080193	1.75956194297366E-4
-10.4	5	4	3.00000000006427	2.00000019044681	1.00002245792324	4.32795080080245E-4
-10.3	5	4	3.00000000012942	2.00000038352075	1.00004522450644	8.7150984970566E-4
-10.2	5	4	3.00000000021337	2.00000063230172	1.00007456176111	0.00143690597559772
-10.1	5	4	3.00000000028802	2.00000085351776	1.00010064935065	0.00193958627947512
-10	5	4	3.00000000031832	2.00000094327794	1.00011123405742	0.00214358535863452
-9.9	5	4	3.00000000028802	2.00000085351776	1.00010064935065	0.00193958627947512
-9.8	5	4	3.00000000021337	2.00000063230172	1.00007456176111	0.00143690597559772
-9.7	5	4	3.00000000012942	2.00000038352075	1.00004522450644	8.7150984970566E-4
-9.6	5	4	3.00000000006427	2.00000019044681	1.00002245792324	4.32795080080245E-4
-9.5	5	4	3.00000000076588	2.00000100711514	1.00006129520704	6.90893544249679E-4
-9.4	5	4.00000000000001	3.00000000188378	2.00000247708727	1.00015076000233	0.00169934554543362
-9.3	5	4.00000000000002	3.00000000379353	2.00000498830729	1.00030359326772	0.00342223830039136
-9.2	5	4.00000000000003	3.00000000625432	2.00000822420141	1.00050052413954	0.0056421218798303
-9.1	5	4.00000000000004	3.0000000084425	2.00001110160215	1.00067564498282	0.00761600947150327
-9	5	4.00000000000005	3.00000000933032	2.00001226913126	1.00074672412789	0.00841681191830828
-8.9	5	4.00000000000004	3.0000000084425	2.00001110160215	1.00067564498282	0.00761600947150327
-8.8	5	4.00000000000003	3.00000000625432	2.00000822420141	1.00050052413954	0.0056421218798303
-8.7	5	4.00000000000002	3.00000000379353	2.00000498830729	1.00030359326772	0.00342223830039136
-8.6	5	4.00000000000001	3.00000000188378	2.00000247708727	1.00015076000233	0.00169934554543362
-8.5	5	4.00000000000042	3.00000002068356	2.00001048686436	1.00032161784404	0.00205748676291643
-8.4	5	4.00000000000103	3.00000005087254	2.00002579361131	1.00079104303768	0.005060676817838
-8.3	5	4.00000000000207	3.00000010244471	2.0000519429794	1.00159300564906	0.010190745552011
-8.2	5	4.0000000000034	3.0000001689043	2.00008563787442	1.00262640498515	0.0168017232874009
-8.1	5	4.0000000000046	3.00000022800563	2.00011559856702	1.00354522159455	0.0226799750057553
-8	5	4.00000000000508	3.00000025197025	2.00012775649318	1.00391823423214	0.0250652810208176
-7.9	5	4.0000000000046	3.00000022800563	2.00011559856702	1.00354522159455	0.0226799750057553
-7.8	5	4.0000000000034	3.0000001689043	2.00008563787442	1.00262640498515	0.0168017232874009
-7.7	5	4.00000000000207	3.00000010244471	2.0000519429794	1.00159300564906	0.010190745552011
-7.6	5	4.00000000000103	3.00000005087254	2.00002579361131	1.00079104303768	0.005060676817838
-7.5	5	4.00000000003273	3.0000004393647	2.00008475967758	1.0012701356939	0.00445588186930641
-7.4	5	4.0000000000805	3.00000108065943	2.00020847596776	1.00312416283268	0.010959318577959
-7.3	5	4.0000000001621	3.0000021761158	2.00041981789233	1.00629113039427	0.0220695892393199
-7.2	5	4.00000000026725	3.00000358785686	2.00069215842372	1.01037213907169	0.0363863584043148
-7.1	5	4.00000000036076	3.00000484318456	2.00093432182307	1.01400093180362	0.0491169796428454
-7	5	4.00000000039871	3.0000053526337	2.00103259030749	1.01547347271563	0.0542835531292137
-6.9	5	4.00000000036076	3.00000484318456	2.00093432182307	1.01400093180362	0.0491169796428454
-6.8	5	4.00000000026725	3.00000358785686	2.00069215842372	1.01037213907169	0.0363863584043148
-6.7	5	4.0000000001621	3.0000021761158	2.00041981789233	1.00629113039427	0.0220695892393199
-6.6	5	4.0000000000805	3.00000108065943	2.00020847596776	1.00312416283268	0.010959318577959
-6.5	5	4.00000000219291	3.00000719722557	2.00051104587521	1.00359967386873	0.00682507317394021
-6.4	5	4.00000000539377	3.00001770225171	2.00125694098915	1.00885388154446	0.0167865951918966
-6.3	5	4.00000001086179	3.00003564736631	2.00253109762165	1.0178294799371	0.0338047160193376
-6.2	5	4.00000001790847	3.00005877362284	2.00417330082595	1.02939549239998	0.0557338770677804
-6.1	5	4.00000002417293	3.00007933655006	2.00563314757687	1.03968027488207	0.0752326766862893
-6	5	4.00000002671544	3.00008767993567	2.00622574385511	1.04385300797857	0.0831453283783339
-5.9	5	4.00000002417293	3.00007933655006	2.00563314757687	1.03968027488207	0.0752326766862893
-5.8	5	4.00000001790847	3.00005877362284	2.00417330082595	1.02939549239998	0.0557338770677804
-5.7	5	4.00000001086179	3.00003564736631	2.00253109762165	1.0178294799371	0.0338047160193376
-5.6	5	4.00000000539377	3.00001770225171	2.00125694098915	1.00885388154446	0.0167865951918966
-5.5	5	4.00000011451664	3.00008671692803	2.00218228181909	1.00697105584998	0.00803597855756898
-5.4	5	4.00000028166139	3.00021328910334	2.00536744949746	1.01714576902918	0.019765514519683
-5.3	5	4.00000056719955	3.00042951347005	2.01080878694397	1.03452623609574	0.0398033347584438
-5.2	5	4.0000009351635	3.00070814234017	2.01782092745547	1.05692737755518	0.0656230473246292
-5.1	5	4.00000126234606	3.00095589063128	2.02405562742561	1.07684176809737	0.0885815766106489
-5	5	4.0000013950876	3.00105641334942	2.02658473479948	1.08492516452158	0.0978985102114645
-4.9	5	4.00000126234606	3.00095589063128	2.02405562742561	1.07684176809737	0.0885815766106489
-4.8	5	4.0000009351635	3.00070814234017	2.01782092745547	1.05692737755518	0.0656230473246292
-4.7	5	4.00000056719955	3.00042951347005	2.01080878694397	1.03452623609574	0.0398033347584438
-4.6	5	4.00000028166139	3.00021328910334	2.00536744949746	1.01714576902918	0.019765514519683
-4.5	5	4.00000429156564	3.00072629674307	2.00618643646134	1.00936782947994	0.00995658894333542
-4.4	5	4.00001055535007	3.00178640932851	2.01521619066574	1.02304088288393	0.0244890979050876
-4.3	5	4.00002125645557	3.00359730599115	2.03064235247288	1.04639799662221	0.0493143026276844
-4.2	5	4.00003504568556	3.00593104141536	2.05051995223405	1.07649816551162	0.0813069359029171
-4.1	5	4.00004730612748	3.00800603136309	2.06819584038213	1.10326131267835	0.109751044167461
-4	5	4.0000522815381	3.00884821069562	2.07536570803065	1.1141226486518	0.121294438780544
-3.9	5	4.00004730612748	3.00800603136309	2.06819584038213	1.10326131267835	0.109751044167461
-3.8	5	4.00003504568556	3.00593104141536	2.05051995223405	1.07649816551162	0.0813069359029171
-3.7	5	4.00002125645557	3.00359730599115	2.03064235247288	1.04639799662221	0.0493143026276844
-3.6	5	4.00001055535007	3.00178640932851	2.01521619066574	1.02304088288393	0.0244890979050876
-3.5	5	4.00010739325196	3.00391636509851	2.01110931435964	1.01158697804438	0.0137714999835564
-3.4	5	4.00026414060467	3.00963289103337	2.02732361428998	1.02849979616796	0.0338737790640313
-3.3	5	4.00053192509487	3.01939827100925	2.05502537565927	1.05739036748005	0.0682112671424343
-3.2	5	4.00087698461623	3.03198230800161	2.09072046969848	1.09462174596704	0.112460946492584
-3.1	5	4.00118381073713	3.04317249698432	2.12245994626331	1.12772698153864	0.15180386095307
-3	5	4.00130830559323	3.04771210293526	2.13533933724749	1.14115951313261	0.16777057914296
-2.9	5	4.00118381073713	3.04317249698432	2.12245994626331	1.12772698153864	0.15180386095307
-2.8	5	4.00087698461623	3.03198230800161	2.09072046969848	1.09462174596704	0.112460946492584
-2.7	5	4.00053192509487	3.01939827100925	2.05502537565927	1.05739036748005	0.0682112671424343
-2.6	5	4.00026414060467	3.00963289103337	2.02732361428998	1.02849979616796	0.0338737790640313
-2.5	5	4.00163289908081	3.01242098914355	2.01495546820579	1.01745151709277	0.0181777222350117
-2.4	5	4.00401635638844	3.03055086449538	2.03678475470196	1.0429241162425	0.0447100996481073
-2.3	5	4.00808805600077	3.06152191395255	2.07407453477958	1.08643934540796	0.0900351892656296
-2.2	5	4.01333497719147	3.10143144350623	2.12212906756891	1.14251354027139	0.148442792777979
-2.1	5	4.01800024657872	3.136917973462	2.16485719972137	1.19237376972803	0.200374913671194
-2	5	4.01989342319758	3.15131885806192	2.18219723355558	1.2126055558791	0.221449008452001
-1.9	5	4.01800024657872	3.136917973462	2.16485719972137	1.19237376972803	0.200374913671194
-1.8	5	4.01333497719147	3.10143144350623	2.12212906756891	1.14251354027139	0.148442792777979
-1.7	5	4.00808805600077	3.06152191395255	2.07407453477958	1.08643934540796	0.0900351892656296
-1.6	5	4.00401635638844	3.03055086449538	2.03678475470196	1.0429241162425	0.0447100996481073
-1.5	5	4.01343634844313	3.02431443506232	2.02602248979998	1.02782889755984	0.0297875489196567
-1.4	5	4.03304839792326	3.05980297547246	2.06400388098318	1.06844971172325	0.0732660242707271
-1.3	5	4.06655022671544	3.12042822677925	2.1288884466116	1.13783705084154	0.147538395764133
-1.2	5	4.10972342086878	3.1985504624045	2.21250124390487	1.22725525595481	0.243249909560299
-1.1	5	4.14811161796737	3.26801367108967	2.28684446213554	1.30676722380758	0.328352024204953
-1	5	4.1636871737969	3.29620024125452	2.31702159418848	1.33903092423272	0.362876969118953
-0.9	5	4.14811161796737	3.26801367108967	2.28684446213554	1.30676722380758	0.328352024204953
-0.8	5	4.10972342086878	3.1985504624045	2.21250124390487	1.22725525595481	0.243249909560299
-0.7	5	4.06655022671544	3.12042822677925	2.1288884466116	1.13783705084154	0.147538395764133
-0.6	5	4.03304839792326	3.05980297547246	2.06400388098318	1.06844971172325	0.0732660242707271
-0.5	5.082085	4.08208468609159	3.08208484117411	2.08208528211762	1.08208607535962	0.0820863616930312
-0.4	5.2019	4.20189317661886	3.20188982710093	2.20189819882575	1.20189854988061	0.201897589370869
-0.3	5.40657	4.4065672132495	3.40657418576598	2.4065827445517	1.40655756799255	0.406584010260795
-0.2	5.67032	4.67031055219935	3.67030558906313	2.67031545427406	1.67031623085435	0.670339066662282
-0.1	5.90484	4.90483431279881	3.90482509047045	2.90484127773908	1.90483955506377	0.904857434143454
0	6	5	4	3	2	1
0.1	5.90484	4.90483431279881	3.90482509047045	2.90484127773908	1.90483955506377	0.904857434143454
0.2	5.67032	4.67031055219935	3.67030558906313	2.67031545427406	1.67031623085435	0.670339066662282
0.3	5.40657	4.4065672132495	3.40657418576598	2.4065827445517	1.40655756799255	0.406584010260795
0.4	5.2019	4.20189317661886	3.20188982710093	2.20189819882575	1.20189854988061	0.201897589370869
0.5	5	4.01343634844313	3.02431443506232	2.02602248979998	1.02782889755984	0.0297875489196567
0.6	5	4.03304839792326	3.05980297547246	2.06400388098318	1.06844971172325	0.0732660242707271
0.7	5	4.06655022671544	3.12042822677925	2.1288884466116	1.13783705084154	0.147538395764133
0.8	5	4.10972342086878	3.1985504624045	2.21250124390487	1.22725525595481	0.243249909560299
0.9	5	4.14811161796737	3.26801367108967	2.28684446213554	1.30676722380758	0.328352024204953
1	5	4.1636871737969	3.29620024125452	2.31702159418848	1.33903092423272	0.362876969118953
1.1	5	4.14811161796737	3.26801367108967	2.28684446213554	1.30676722380758	0.328352024204953
1.2	5	4.10972342086878	3.1985504624045	2.21250124390487	1.22725525595481	0.243249909560299
1.3	5	4.06655022671544	3.12042822677925	2.1288884466116	1.13783705084154	0.147538395764133
1.4	5	4.03304839792326	3.05980297547246	2.06400388098318	1.06844971172325	0.0732660242707271
1.5	5	4.00163289908081	3.01242098914355	2.01495546820579	1.01745151709277	0.0181777222350117
1.6	5	4.00401635638844	3.03055086449538	2.03678475470196	1.0429241162425	0.0447100996481073
1.7	5	4.00808805600077	3.06152191395255	2.07407453477958	1.08643934540796	0.0900351892656296
1.8	5	4.01333497719147	3.10143144350623	2.12212906756891	1.14251354027139	0.148442792777979
1.9	5	4.01800024657872	3.136917973462	2.16485719972137	1.19237376972803	0.200374913671194
2	5	4.01989342319758	3.15131885806192	2.18219723355558	1.2126055558791	0.221449008452001
2.1	5	4.01800024657872	3.136917973462	2.16485719972137	1.19237376972803	0.200374913671194
2.2	5	4.01333497719147	3.10143144350623	2.12212906756891	1.14251354027139	0.148442792777979
2.3	5	4.00808805600077	3.06152191395255	2.07407453477958	1.08643934540796	0.0900351892656296
2.4	5	4.00401635638844	3.03055086449538	2.03678475470196	1.0429241162425	0.0447100996481073
2.5	5	4.00010739325196	3.00391636509851	2.01110931435964	1.01158697804438	0.0137714999835564
2.6	5	4.00026414060467	3.00963289103337	2.02732361428998	1.02849979616796	0.0338737790640313
2.7	5	4.00053192509487	3.01939827100925	2.05502537565927	1.05739036748005	0.0682112671424343
2.8	5	4.00087698461623	3.03198230800161	2.09072046969848	1.09462174596704	0.112460946492584
2.9	5	4.00118381073713	3.04317249698432	2.12245994626331	1.12772698153864	0.15180386095307
3	5	4.00130830559323	3.04771210293526	2.13533933724749	1.14115951313261	0.16777057914296
3.1	5	4.00118381073713	3.04317249698432	2.12245994626331	1.12772698153864	0.15180386095307
3.2	5	4.00087698461623	3.03198230800161	2.09072046969848	1.09462174596704	0.112460946492584
3.3	5	4.00053192509487	3.01939827100925	2.05502537565927	1.05739036748005	0.0682112671424343
3.4	5	4.00026414060467	3.00963289103337	2.02732361428998	1.02849979616796	0.0338737790640313
3.5	5	4.00000429156564	3.00072629674307	2.00618643646134	1.00936782947994	0.00995658894333542
3.6	5	4.00001055535007	3.00178640932851	2.01521619066574	1.02304088288393	0.0244890979050876
3.7	5	4.00002125645557	3.00359730599115	2.03064235247288	1.04639799662221	0.0493143026276844
3.8	5	4.00003504568556	3.00593104141536	2.05051995223405	1.07649816551162	0.0813069359029171
3.9	5	4.00004730612748	3.00800603136309	2.06819584038213	1.10326131267835	0.109751044167461
4	5	4.0000522815381	3.00884821069562	2.07536570803065	1.1141226486518	0.121294438780544
4.1	5	4.00004730612748	3.00800603136309	2.06819584038213	1.10326131267835	0.109751044167461
4.2	5	4.00003504568556	3.00593104141536	2.05051995223405	1.07649816551162	0.0813069359029171
4.3	5	4.00002125645557	3.00359730599115	2.03064235247288	1.04639799662221	0.0493143026276844
4.4	5	4.00001055535007	3.00178640932851	2.01521619066574	1.02304088288393	0.0244890979050876
4.5	5	4.00000011451664	3.00008671692803	2.00218228181909	1.00697105584998	0.00803597855756898
4.6	5	4.00000028166139	3.00021328910334	2.00536744949746	1.01714576902918	0.019765514519683
4.7	5	4.00000056719955	3.00042951347005	2.01080878694397	1.03452623609574	0.0398033347584438
4.8	5	4.0000009351635	3.00070814234017	2.01782092745547	1.05692737755518	0.0656230473246292
4.9	5	4.00000126234606	3.00095589063128	2.02405562742561	1.07684176809737	0.0885815766106489
5	5	4.0000013950876	3.00105641334942	2.02658473479948	1.08492516452158	0.0978985102114645
5.1	5	4.00000126234606	3.00095589063128	2.02405562742561	1.07684176809737	0.0885815766106489
5.2	5	4.0000009351635	3.00070814234017	2.01782092745547	1.05692737755518	0.0656230473246292
5.3	5	4.00000056719955	3.00042951347005	2.01080878694397	1.03452623609574	0.0398033347584438
5.4	5	4.00000028166139	3.00021328910334	2.00536744949746	1.01714576902918	0.019765514519683
5.5	5	4.00000000219291	3.00000719722557	2.00051104587521	1.00359967386873	0.00682507317394021
5.6	5	4.00000000539377	3.00001770225171	2.00125694098915	1.00885388154446	0.0167865951918966
5.7	5	4.00000001086179	3.00003564736631	2.00253109762165	1.0178294799371	0.0338047160193376
5.8	5	4.00000001790847	3.00005877362284	2.00417330082595	1.02939549239998	0.0557338770677804
5.9	5	4.00000002417293	3.00007933655006	2.00563314757687	1.03968027488207	0.0752326766862893
6	5	4.00000002671544	3.00008767993567	2.00622574385511	1.04385300797857	0.0831453283783339
6.1	5	4.00000002417293	3.00007933655006	2.00563314757687	1.03968027488207	0.0752326766862893
6.2	5	4.00000001790847	3.00005877362284	2.00417330082595	1.02939549239998	0.0557338770677804
6.3	5	4.00000001086179	3.00003564736631	2.00253109762165	1.0178294799371	0.0338047160193376
6.4	5	4.00000000539377	3.00001770225171	2.00125694098915	1.00885388154446	0.0167865951918966
6.5	5	4.00000000003273	3.0000004393647	2.00008475967758	1.0012701356939	0.00445588186930641
6.6	5	4.0000000000805	3.00000108065943	2.00020847596776	1.00312416283268	0.010959318577959
6.7	5	4.0000000001621	3.0000021761158	2.00041981789233	1.00629113039427	0.0220695892393199
6.8	5	4.00000000026725	3.00000358785686	2.00069215842372	1.01037213907169	0.0363863584043148
6.9	5	4.00000000036076	3.00000484318456	2.00093432182307	1.01400093180362	0.0491169796428454
7	5	4.00000000039871	3.0000053526337	2.00103259030749	1.01547347271563	0.0542835531292137
7.1	5	4.00000000036076	3.00000484318456	2.00093432182307	1.01400093180362	0.0491169796428454
7.2	5	4.00000000026725	3.00000358785686	2.00069215842372	1.01037213907169	0.0363863584043148
7.3	5	4.0000000001621	3.0000021761158	2.00041981789233	1.00629113039427	0.0220695892393199
7.4	5	4.0000000000805	3.00000108065943	2.00020847596776	1.00312416283268	0.010959318577959
7.5	5	4.00000000000042	3.00000002068356	2.00001048686436	1.00032161784404	0.00205748676291643
7.6	5	4.00000000000103	3.00000005087254	2.00002579361131	1.00079104303768	0.005060676817838
7.7	5	4.00000000000207	3.00000010244471	2.0000519429794	1.00159300564906	0.010190745552011
7.8	5	4.0000000000034	3.0000001689043	2.00008563787442	1.00262640498515	0.0168017232874009
7.9	5	4.0000000000046	3.00000022800563	2.00011559856702	1.00354522159455	0.0226799750057553
8	5	4.00000000000508	3.00000025197025	2.00012775649318	1.00391823423214	0.0250652810208176
8.1	5	4.0000000000046	3.00000022800563	2.00011559856702	1.00354522159455	0.0226799750057553
8.2	5	4.0000000000034	3.0000001689043	2.00008563787442	1.00262640498515	0.0168017232874009
8.3	5	4.00000000000207	3.00000010244471	2.0000519429794	1.00159300564906	0.010190745552011
8.4	5	4.00000000000103	3.00000005087254	2.00002579361131	1.00079104303768	0.005060676817838
8.5	5	4	3.00000000076588	2.00000100711514	1.00006129520704	6.90893544249679E-4
8.6	5	4.00000000000001	3.00000000188378	2.00000247708727	1.00015076000233	0.00169934554543362
8.7	5	4.00000000000002	3.00000000379353	2.00000498830729	1.00030359326772	0.00342223830039136
8.8	5	4.00000000000003	3.00000000625432	2.00000822420141	1.00050052413954	0.0056421218798303
8.9	5	4.00000000000004	3.0000000084425	2.00001110160215	1.00067564498282	0.00761600947150327
9	5	4.00000000000005	3.00000000933032	2.00001226913126	1.00074672412789	0.00841681191830828
9.1	5	4.00000000000004	3.0000000084425	2.00001110160215	1.00067564498282	0.00761600947150327
9.2	5	4.00000000000003	3.00000000625432	2.00000822420141	1.00050052413954	0.0056421218798303
9.3	5	4.00000000000002	3.00000000379353	2.00000498830729	1.00030359326772	0.00342223830039136
9.4	5	4.00000000000001	3.00000000188378	2.00000247708727	1.00015076000233	0.00169934554543362
9.5	5	4	3.00000000002613	2.00000007743059	1.00000913080193	1.75956194297366E-4
9.6	5	4	3.00000000006427	2.00000019044681	1.00002245792324	4.32795080080245E-4
9.7	5	4	3.00000000012942	2.00000038352075	1.00004522450644	8.7150984970566E-4
9.8	5	4	3.00000000021337	2.00000063230172	1.00007456176111	0.00143690597559772
9.9	5	4	3.00000000028802	2.00000085351776	1.00010064935065	0.00193958627947512
10	5	4	3.00000000031832	2.00000094327794	1.00011123405742	0.00214358535863452
10.1	5	4	3.00000000028802	2.00000085351776	1.00010064935065	0.00193958627947512
10.2	5	4	3.00000000021337	2.00000063230172	1.00007456176111	0.00143690597559772
10.3	5	4	3.00000000012942	2.00000038352075	1.00004522450644	8.7150984970566E-4
10.4	5	4	3.00000000006427	2.00000019044681	1.00002245792324	4.32795080080245E-4
