diffraction order	population beta 0	population beta 1.61	population beta 2.58	population beta 3.55	population beta 4.52
-5.89	4.00359700959957	2.99921437067645	1.99498483703883	1.01232900866789	0.111166677132016
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0.0668345323741013	4.94895562266647	4	2.9354589190381	2	0.945857515765301
0.1531654676259	4.69694911271442	3.80002287973118	2.98244421873701	1.72294299979583	0.917022488540443
0.239496402877698	4.4385710307134	3.55396308644817	2.67108121491645	1.8887883512445	0.753159787942124
0.325827338129497	4.23530735154611	3.29483634789872	2.47466936069775	1.42562225068211	0.446238753487204
0.412158273381295	4.13684780811307	3.17170755844324	2.35603319586064	1.31217402602224	0.183992052314786
0.498489208633094	4.09776590282069	3.13868907410139	2.24111819157742	1.22715862056165	0.180661828685223
0.584820143884893	4.05214750089207	3.11560535495973	2.26033304296594	1.2109156040611	0.234849164416617
0.671151079136691	4.03420379283035	3.11285289573321	2.33367550901645	1.30527405015127	0.264253805649495
0.75748201438849	4.03038833430519	3.12534509112611	2.50768449474266	1.43680049000501	0.275159447070749
0.843812949640289	4.01791324705616	3.1869529022112	2.58801023635424	1.55419288379086	0.316294997264059
0.930143884892087	4.01527837007511	3.22017882026042	2.73340478057984	1.53214497837667	0.310260228383821
1.01647482014389	4.00836633275603	3.18413359557732	2.83931237145821	1.60287089110381	0.17144708868935
1.10280575539568	4.01994717191321	3.20833649193076	2.88561813916671	1.49880050856581	0.284963984248154
1.18913669064748	4.01749984769497	3.12191450974663	2.90614145108996	1.37650574456633	0.328689708375568
1.27546762589928	4.00028720376672	3.08877128952095	2.69726126920672	1.26822670156096	0.172828514787538
1.36179856115108	4.01084411797983	3.03588051818456	2.39843526915612	1.3575018096776	0.162456606176948
1.44812949640288	4.00301520439335	3.01060117182816	2.30407610758293	1.2541204966869	0.132576539079109
1.53446043165468	4.00380457959461	3.01075071705905	2.16224006997734	1.26175594409488	0.134872935709865
1.62079136690648	4.00717443712413	3.01281609520174	2.14628552633006	1.27932605750135	0.213540218337086
1.70712230215827	4.00821011131322	3.00714509195309	2.11140890837523	1.39985754589157	0.219790274401457
1.79345323741007	4.00532458377212	3.02121405918132	2.10974260918597	1.52660458080443	0.412317566537195
1.87978417266187	4.00510265358874	3.00865157063841	2.14150350067411	1.66959695231732	0.44053364310767
1.96611510791367	3.99958181390937	3.02975605520355	2.19437868004525	1.8050559607996	0.52300881780425
2.05244604316547	4.00011966823613	3.01667119207534	2.24669541424342	1.79765716353917	0.441419460167386
2.13877697841727	4.00011618697836	3.0117637653973	2.25015994303498	1.70529168290736	0.501473371666412
2.22510791366907	3.99931419221765	2.99794013504555	2.21420438731878	1.51503192456893	0.442785188241732
2.31143884892086	4.00419883203802	3.003044658203	2.19583172185454	1.49626463982776	0.337260829393877
2.39776978417266	4.00113793613633	3.00863916596488	2.21200494467959	1.22186183343542	0.199187739394864
2.48410071942446	3.9998829427072	3.00646283490896	2.18090731978848	1.20974627392023	0.136673723302147
2.57043165467626	3.99995929221678	3.00626573842954	2.12486761777049	1.11354334873879	0.156197579813238
2.65676258992806	4.00050347690621	2.99998584040974	2.05807468345737	1.1588641720957	0.301343750840966
2.74309352517986	4.00183462284924	3.00315836771036	2.0542812322662	1.19230376598549	0.383709039370644
2.82942446043166	4.00195777234315	3.0038385573089	2.01712023017339	1.17195185329547	0.369820773419209
2.91575539568345	4.00449996083585	3.01160801782965	2.04157796003051	1.30630185422351	0.70822307340396
3.00208633093525	4.00187770341424	3.00606519620748	2.05217938198734	1.33117332071199	0.478854761883404
3.08841726618705	4.0053241486149	2.99862721612938	2.00223558795783	1.26502496427047	0.451757730155455
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3.26107913669065	3.99994691081888	3.0003183866206	2.01353642183033	1.13996232158435	0.301597161797289
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3.43374100719425	4.00976101165351	2.99988560134412	2.01260567987537	1.08050977225903	0.0995613523623283
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4.64237410071943	4.00007876345724	3.0001357622603	2.0011313484734	1.03732576052861	0.0228922039128446
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4.90136690647482	4.0000974752178	2.99963406213088	2.01696661256917	0.998081277725189	0.0524291570609711
4.98769784172662	3.99997035382634	3.00010819631912	2.00533143449926	1.01702489002728	0.0579301931305448
5.07402877697842	4.00005395949557	2.99997304636729	1.99865177961476	1.00000880774728	1.85911696373308E-5
5.16035971223022	4.00014534251225	3.00000578850307	2.00557902993194	1.02107114353063	0.086258398442756
5.24669064748202	4.00023716068616	2.99999897311356	2.01318581223953	1.04620014106205	0.05873527749621
5.33302158273382	4.00032897886006	3.00000012699905	2.01717806268321	1.04063886259443	0.0415190304900474
5.41935251798561	4.00042036187675	3.00000000037917	2.01569971915087	1.00828507526403	0.0387539357188349
5.50568345323741	4.00051174489343	2.999999993565	2.00829354336173	0.979172466915381	-0.0316382457682613
5.59201438848921	4.00060356306734	3.00000000298108	2.00500251209965	0.932209013122483	-0.104571264543098
5.67834532374101	4.00069494608402	2.99999999990554	2.01315689598462	0.86739007368636	-0.1775020407431
5.76467625899281	4.00078676425793	2.99999999801347	2.00632543076184	0.819732910147187	-0.250432816943101
5.85100719424461	4.00087814727461	3.00000000008161	1.9724211218784	0.772073426508529	-0.323361350568268
5.93733812949641	4.00096953029129	3.00000000087523	1.94390788726998	0.724418583068842	-0.396287641618601
6.0236690647482	4.0010613484652	3.00000000013691	1.92509605618428	0.676763739629155	-0.469211690094098
6.11	4.00115273148189	3	1.90628422509859	0.629111216288955	-0.542133495994761
