diffraction order	population beta 0	population beta 1.8	population beta 3.6	population beta 5.4	population beta 7.2	population beta 9
-9.9724123837744	5	4.01455973337425	3.03635859328365	2.05266417446181	1.07499972679686	0.083580208701804
-9.82867973746848	5.0000216276337	4.00669872080527	3.0292387422827	2.03513980820858	1.04223216214649	0.0412628227803325
-9.68494709116257	4.99999906069449	4.00128051169014	3.01493681672738	2.02442580272723	1.01764471990794	0.00210581004598514
-9.54121444485666	5.00002286158533	4.00005022815527	2.99924013440288	2.00095839661927	1.00580367538087	0.0221712504421648
-9.39748179855074	4.99999773595991	4.00001878526882	3.000842127244	1.99916280412279	1.01815834181664	0.0254664839051999
-9.25374915224483	4.99999941991018	3.99999479320854	2.99997399329673	1.99908784181412	1.01674104797363	0.0456457817474355
-9.11001650593892	5.00003524223514	4.00007564850215	2.99999798639835	2.00043506162322	0.991071721289082	0.0667635744605589
-8.966283859633	4.9999087383911	3.99985942241909	3.00000172313366	2.00010859026022	1.03129478955372	0.0118102228510789
-8.82255121332709	4.99999879782424	3.99997696873696	2.99999168593136	1.99951169412015	1.0089173505852	0.0472309426954369
-8.67881856702118	4.99999965643555	3.99999972711686	2.99998707558791	2.00032086670441	1.00294639081836	0.0192164839051999
-8.53508592071526	5.00006969546501	3.99998381195559	3.00001457871491	1.99938208639021	0.998716365540761	0.00415524407499116
-8.39135327440935	5.00043579390762	4.00004318396276	3.00000650468153	2.00036079989687	1.00059180003884	0.0264525114962858
-8.24762062810344	4.99951633977302	4.0000122336185	3.00000603990323	2.00038742202519	1.01659561983909	0.0487365139724089
-8.10388798179752	4.9999962381807	4.00644267972109	2.99987027971069	1.99721308351502	1.01347101650904	0.0816777944817828
-7.96015533549161	5.00000456376425	4.00004165261657	3.0002678776706	2.00777646379671	1.01253371957253	0.122884241245136
-7.8164226891857	5.00003445322987	4.00000108638293	3.00000381337574	2.00090515236264	1.01283466334227	0.0531073134064379
-7.67269004287978	4.99889249961076	3.99999318018034	2.99996203060766	2.00062702118001	0.999668793728265	0.0347751591793421
-7.52895739657387	5.00053021153757	4.00002244907585	3.00002976120921	2.00060250079866	1.01926376376418	0.0104516713830916
-7.38522475026796	4.9990113764039	3.99998725500375	2.99997809525266	2.00010438676628	1.01864926684886	0.050752785638486
-7.24149210396204	5.00030008500217	4.00003093319319	2.99996226863912	1.99781698547833	1.00956463187768	0.0766835426246905
-7.09775945765613	4.99937221481142	3.99998434293457	2.99992248421737	2.00062211710374	1.08776798075977	0.156820392642377
-6.95402681135022	5.00008679057907	4.00000959137252	2.99981174738503	1.99955513022424	1.05732138188672	0.0597099398655819
-6.8102941650443	4.99999944190239	4.00001218250217	3.00618280647209	1.99960697331622	1.00790187551856	0.0967489830208702
-6.66656151873839	4.99999992804298	3.99995436588332	2.99975005114987	2.00005253912052	1.00242184078393	0.0437433675274142
-6.52282887243248	5.00000002821825	4.00000543113368	3.00003382103241	2.00035169232666	1.014140994678	0.0286379112133003
-6.37909622612656	5.00000000032905	4.00000105869313	2.99999504053495	2.00164987137309	1.04534583735082	0.0589394676335338
-6.23536357982065	5.00000005050502	4.00000311500318	3.00036701350146	2.00197143865981	1.12295738619408	0.0756190307746728
-6.09163093351474	4.99999999311362	3.99999711573088	2.99968466368697	2.03862030119435	1.17764508978296	0.209974133356915
-5.94789828720882	4.99999990470184	4.00000343018486	2.99965882509276	2.04823789533861	1.15287943503271	0.0675229925716307
-5.80416564090291	5.00000008349964	3.99998575005796	2.99974741455862	2.02244385533255	1.09847081896215	0.116067164839052
-5.660432994597	4.99999965418162	3.99998885176906	3.00027895135384	2.03044170314365	1.00683007857322	0.0730257339936328
-5.51670034829108	5.00000002324341	4.00000344902041	2.99943366020034	2.01518091837936	1.00620549415724	0.0247645472232048
-5.37296770198517	4.99999942747674	3.99999741932945	3.00026154985161	2.00012260190671	1.0741851611184	0.0429275733993633
-5.22923505567926	5.00000668000787	4.00002994740438	3.00291448796343	2.0114384076044	1.17431957706472	0.102026220374956
-5.08550240937334	4.99998233014821	4.00662981022639	3.00744256976948	2.08942372900355	1.10172992230103	0.177259462327556
-4.94176976306743	5.00000700720835	3.99998369413381	3.00086269265572	2.04637714868599	1.15070305676489	0.134852538026176
-4.79803711676152	5.00000138433867	3.99997728790013	3.01049205120471	2.0783279061556	1.07194237347122	0.104539927484966
-4.6543044704556	4.99999896776808	3.99999654068894	3.00004145797168	2.0378461577263	1.00079607192724	0.0247424389812522
-4.51057182414969	5.0000389242597	4.00002104284064	3.00054946561569	1.99862195456864	1.0044418627915	0.0454755482844004
-4.36683917784378	4.99870471635787	3.9996079753735	3.00935778965064	1.99792767748553	1.05606044430397	0.124389812522108
-4.22310653153786	4.99940614203778	3.99982512026427	3.00498579404637	2.03457654002007	1.19617162537376	0.0784842589317298
-4.07937388523195	5.00028298988811	4.00121160111127	3.00933669692067	2.18122173150323	1.17361597389355	0.280553590378493
-3.93564123892604	4.99998429069479	3.99961777598917	3.06372377382688	2.15289298464884	1.25166296651538	0.196827467279802
-3.79190859262012	4.99999555558595	4.00526048045681	3.04964015802673	2.07540998077602	1.06183049468263	0.0346391934913336
-3.64817594631421	4.9999989016021	3.99933631455811	3.01035705773291	2.03523018332838	0.998671812412838	0.0705230810045985
-3.5044433000083	4.9999922961263	4.00061897013293	3.0022273922847	2.01017105418024	1.01488831035205	0.0229759904492395
-3.36071065370238	4.99999172443939	4.0004440903972	3.00336218115702	2.05837882447891	1.03946398383982	0.0439357092324018
-3.21697800739647	5.00030850105832	3.99725153984517	3.04513316895066	2.11697833238988	1.17901783049805	0.157817474354439
-3.07324536109056	5.00398447658443	4.00007963000226	3.12587561195283	2.15107217118869	1.22680820550929	0.206067607003891
-2.92951271478464	5.00010888272647	4.00774279264256	3.12141028101844	2.14387859188558	1.10409628183132	0.215748806154935
-2.78578006847873	4.99991846945603	4.00040519420379	3.05927900830421	2.10041936857916	1.04462037792821	0.131048814998231
-2.64204742217282	4.99999394259619	4.00173379016453	3.0169147874802	2.00915450922807	0.985435330294194	0.0631179253625752
-2.4983147758669	4.99998839331176	4.00057241720853	3.01459353254714	2.00518080628619	1.01561376977465	0.00203837990802971
-2.35458212956099	5.0023927899647	4.00583167258838	3.04163599432184	2.04733274297596	1.05558044739747	0.123925539441104
-2.21084948325508	5.00182917720427	4.02664695517842	3.14582986182153	2.21417852519014	1.31626079887962	0.238056022285108
-2.06711683694916	5.00286724513026	4.03964073393136	3.18418646395147	2.27693318686492	1.21944180815087	0.156877874071454
-1.92338419064325	5.00181918313759	4.05488007874795	3.21057346914239	2.23485200898987	1.29993333843313	0.251508887513265
-1.77965154433734	4.99997080680522	4.00790052130087	3.09680350223688	2.07178867074312	1.06039050396313	0.160093517863459
-1.63591889803143	4.9999221514806	4.0079201225322	3.01342763189811	2.02854032271624	1.03719849931615	0.030165590732225
-1.49218625172551	5.00037635551104	4.00483691009865	3.018736144713	2.06067253100777	1.00233273452809	0.0342545100813583
-1.3484536054196	4.99897166313894	4.04044836591579	3.03737842677764	2.14123319303005	1.08917434647707	0.0513530244074991
-1.20472095911368	5.0056555897341	4.07688736121792	3.15437558136837	2.3122740622005	1.32748902774147	0.236131499823134
-1.06098831280777	5.00909617868971	4.21032978765435	3.36820682265444	2.4516864417704	1.33828097219969	0.383531570569508
-0.917255666501858	5.01748067463106	4.17413703282073	3.30012159958827	2.33058378123897	1.30371615118137	0.260159842589317
-0.773523020195945	5.01609649639582	4.09789988119816	3.19906105712544	2.13698766414644	1.04399579351222	0.164984966395472
-0.629790373890032	5.01224036466771	4.04781689754773	3.07386199448636	2.01999952360402	0.994665393399916	0.152812168376371
-0.486057727584119	5.13187670688139	4.05279193507337	3.03241372546125	2.04145765960667	1.02130564202318	0.123981915458083
-0.342325081278206	5.31870684141205	4.10232302155431	3.07013543641913	2.08262317638421	1.09729898763525	0.380541430845419
-0.198592434972293	5.62667584718125	4.37814266694966	3.49414465816067	2.40782438362767	1.62983243820775	0.683154625044217
-0.0548597886663781	6	5	4	3	2	1
0.0888728576395349	5.9275953539162	4.88733365369096	3.95418975441735	2.78746083744809	1.90213190920241	0.998188229571984
0.232605503945448	5.62131692342651	4.44384905704295	3.40459652771479	2.41038010794572	1.24608289739919	0.71432835160948
0.376338150251361	5.17337364974899	4.1367819862234	3.15099230748138	2.1073306132057	1.02001107943823	0.155235231694376
0.520070796557274	5.02109957877639	4.04025143479482	3.00815023085993	2.08415254759756	1.03287936778271	0.0675904227095861
0.663803442863187	5.00595225571345	4.0378772356506	3.07563167453074	2.1566151785364	1.05579228491137	0.111741687301026
0.8075360891691	5.0073067147504	4.1018400349637	3.15478108910202	2.40127534006266	1.1831360526433	0.181573885744606
0.951268735475015	5.01984374539747	4.18463839250302	3.29870627740737	2.49056876075394	1.46801379633841	0.368856119561372
1.09500138178093	5.00403392091432	4.1819490423114	3.34946013157645	2.30835080118595	1.31107162041408	0.250263088079236
1.23873402808684	4.99818081686241	4.07704508987624	3.16511758142321	2.06987748216317	1.04661854368434	0.150185709232402
1.38246667439275	5.00101834279438	4.02551437153093	3.02743795046162	2.03100497133217	1.00132818758716	0.046381986204457
1.52619932069867	4.99987297015246	3.99949679963958	3.01567611691278	2.03634691155288	1.0001874593873	0.0287617173682349
1.66993196700458	5.00050733038491	4.00583167258838	3.04465436398037	2.04408344215712	1.04539039047874	0.0773401574106827
1.81366461331049	5.0047361355995	4.00720100235797	3.15401120445816	2.14084086692859	1.18068058685716	0.185877255040679
1.95739725961641	4.99947715251156	4.02870600327524	3.15775832793711	2.2904439169838	1.30073697598586	0.295557348779625
2.10112990592232	5.00050943439895	4.03041008532355	3.18735090076503	2.21887663025507	1.2752122368108	0.302102493809692
2.24486255222823	4.9996728258171	4.0239677118717	3.12409591286171	2.04652777388565	1.02107110763279	0.145044437566325
2.38859519853415	4.99999110814737	4.00860984085944	3.00532960554486	2.03356069565023	1.039207593198	0.0500055270604882
2.53232784484006	5.00005207434744	3.99856175965154	2.99801201020044	2.03470684833233	0.994799052783688	0.0245500972762646
2.67606049114597	5.0001633240897	3.99989893115098	2.99870912492591	2.0609240400621	1.05229948780715	0.102207507958967
2.81979313745189	5.00002866719127	3.99876849138817	3.04416501264509	2.09793440307584	1.18017873369923	0.162822780332508
2.9635257837578	4.99994082460518	4.00014027131167	3.14040639362831	2.17123212814491	1.21670725484641	0.34125950654404
3.10725843006371	5.00011046073699	3.99906986031979	3.15037850903929	2.12489561323372	1.22752273680618	0.155688450654404
3.25099107636963	4.9996594127276	4.00190131943851	3.07866059055425	2.0609037231747	1.06022321957715	0.191368942341705
3.39472372267554	4.99999806045148	3.99855195903588	3.00643275532222	2.03978747134618	0.997812693606458	0.037571851786346
3.53845636898145	5.00102833686106	3.99890661881516	3.00071187963645	2.01439626617645	1.00339276272265	-0.00278563848602759
3.68218901528737	5.0031244608464	3.99978775541706	2.99961136645033	2.04475740235284	1.10256718485597	0.0711122656526353
3.82592166159328	5.00006601344044	3.99995130319093	3.02404465752789	2.07547023085589	1.1432030000227	0.134502122391227
3.96965430789919	4.99933144953943	3.99913172670616	3.03297584671491	2.11877882896263	1.23587014360398	0.232292403608065
4.11338695420511	5.00120612604727	3.99991363207448	3.02220220756512	2.13548911855534	1.0577904506675	0.193769897417757
4.25711960051102	4.99982983786468	4.00114269053239	2.99909723115734	2.09136574320575	1.00515639408839	0.132893747789176
4.40085224681693	4.99999978693597	3.99999856150851	3.01466630246553	2.04676947478744	1.03796851186668	-2.66404315528829E-4
4.54458489312285	5.00000094670638	4.00003613977026	2.99423324762654	2.00841049079995	1.02219838583177	0.0545797223204811
4.68831753942876	4.99999879046808	4.00001944754542	2.99960398399484	2.02861108153097	1.01717649175221	0.0877243986558189
4.83205018573467	4.99999984678281	3.99993292703656	2.99856358508913	2.03088447117244	1.10813632584645	0.0879731163777857
4.97578283204059	5.00000547180411	3.99989648099707	3.00736979985109	2.04721154223391	1.23506734667629	0.19466417580474
5.1195154783465	4.99999629375297	4.00022051385241	3.00511076847143	2.02836938062918	1.04334851221975	0.121785461620092
5.26324812465241	4.99999948220478	4.0002367461221	3.0004039257789	2.0494856324577	1.07485513928737	0.0908604527767952
5.40698077095833	4.99999940507688	4.00019784992869	3.00868124033689	2.00730357072799	1.04101577769166	0.0261463123452423
5.55071341726424	5.00000003660011	4.00000354803726	3.00367435356056	2.00641803467042	1.01552466351881	0.0252973558542625
5.69444606357015	4.99999959950882	3.99996784172986	2.99918265671371	2.01184054185839	1.0018636657473	0.03692629112133
5.83817870987607	5.00000160173066	3.99855195903588	3.00057583152815	1.99072429002987	1.09437529369338	0.0948355146798727
5.98191135618198	4.99999994152393	3.99998870448418	3.00032640999627	2.01004004528564	1.14889487227123	0.166966970286523
6.12564400248789	5.000000216487	4.00009586227195	3.00250845291154	2.00774633875678	1.0814506834702	0.0800462062256809
6.26937664879381	5.00000000156169	4.00001566110819	2.99987766216618	1.99941221143014	1.0561386224341	0.0249237265652635
6.41310929509972	5.00000012387488	4.00000444506923	3.00873291752532	1.99933935086844	1.00911825997339	0.064680978068624
6.55684194140563	4.99999919425468	3.99992036999774	2.99990877394289	1.99920133615061	1.01508921974023	0.00694088256101875
6.70057458771155	5.00002628681499	4.00008208015617	3.00750479332289	1.99941221143014	0.997354552951393	0.0175970551821719
6.84430723401746	4.99990032233495	3.99985207195735	2.99972368523741	2.01419449846713	1.01987742005446	0.0705916165546516
6.98803988032337	5.00004286928603	4.00085081594719	3.00004981448944	1.99880270480824	1.06546871992139	0.0627553501945525
7.13177252662929	4.9999692287947	4.00018590542835	2.99960134740359	2.00031316029884	1.08652889942846	0.126439246551114
7.2755051729352	4.99999217922202	4.00000286308142	3.00008437091988	2.0148789673977	1.05744411314477	0.0633213211885391
7.41923781924111	4.99999988229777	3.99999869864669	3.0002699869436	1.99893371370283	1.00537915972801	0.0236668730102582
7.56297046554703	5.00000003202757	4.00000187637075	2.99997835374407	2.00063472758557	0.99850452802686	0.0178689865581889
7.70670311185294	4.9999999902844	3.99999981589268	2.99997228499653	2.00033698009786	1.01800198555638	0.00799434029006013
7.85043575815885	4.99999991630495	3.99999984907205	3.00001627066824	1.99660988213403	1.00096083443805	0.0531073134064379
7.99416840446476	5.00000349939615	4.00000128897085	3.00026154985161	2.00919514300286	1.04401764976366	0.0868522285107888
8.13790105077068	4.99988848725599	3.99999713676239	2.99998073020922	1.99847062878665	1.03709846493459	0.0545686681995048
8.28163369707659	5.0048941996541	3.99999324014786	2.99991141053413	2.00053244256626	0.998560009280501	0.0319441987973116
8.42536634338251	5.00042737785147	3.99998801323451	3.00001063442713	1.99985988353519	1.00082885630439	-0.00413313583303856
8.56909898968842	5.00000977503882	3.99999923464236	3.00000047954533	2.00004132552978	0.999833556239077	0.00214007782101167
8.71283163599433	5.00006601344044	4.00001963976	3.00000513719766	1.9998220520897	0.999649459351996	-0.00681707640608419
8.85656428230025	5.00034689931451	3.99978408018619	2.99994568622033	2.00010228501931	1.00019334376269	0.0407200654403962
9.00029692860616	4.99997805310847	4.00000049414704	3.00004843549949	1.99805868638012	1.0039954908872	0.0373905642023346
9.14402957491207	5.00000009552461	4.00000415806433	3.00032746463277	2.00820872309063	1.01440831344555	0.0341063848602759
9.28776222121798	5.00000000544419	4.00000357002739	3.00014712179153	2.00029354399377	0.99946620308997	0.0461211089494163
9.4314948675239	5.00000015296629	3.9999982617138	2.99999158041498	2.00000014176003	1.00061365629027	0.0276187212592855
9.57522751382981	4.99998870417984	4.00000873982153	3.00000071145251	2.00001256900736	1.00044553127924	0.00252476123098691
9.71896016013572	5.0005707138078	4.0000194874523	3.00000030948994	2.00000587032642	1.00016896563609	3.84683409975239E-4
9.86269280644164	5.00365835440854	4.00000521236556	3.00000011707889	1.99998033045067	0.999239234325075	-0.00245733109303148
10.0064254527476	5.00004865532463	3.99999605182198	2.99999960534184	1.99994652476138	0.99982430936347	0.0486580297134772
10.1501580990535	4.99999862361188	3.99999904317814	2.99999953924513	1.99995364765193	0.998147262378414	0.0288755748142908
10.2938907453594	4.99998509413885	3.99995987872963	2.99999606721304	1.99995148467406	1.00060693128983	0.00520870180403254
10.4376233916653	5.00008626457556	3.99886711008327	3.000052272478	2.00000292672469	0.999109778066579	-8.9336752741422E-5
10.5813560379712	4.99977408149267	3.99915163420672	2.99988768121292	1.99998212240014	1.00049512815749	0.00125685355500531
10.7250886842771	4.99957367415556	4.00092340175695	3.00003685232136	2.00000054578095	0.999913415619318	0.022568093385214
10.868821330583	4.99968913192589	4.00000977197949	2.99999653498124	2.00000314706484	1.00003774742748	0.0229870445702158
11.0125539768889	4.99990716038057	4.00000011339435	2.99999952415803	2.00001339786631	1.00000839588564	0.00959166077113548
11.1562866231949	5.0000019718504	4.00000004560625	3.00000042304634	1.99998926091367	1.0000099250919	-4.22267421294659E-4
11.3000192695008	5.00000004080393	4.00000012899846	3.00000132887363	2.00002228734524	0.999984867067757	-5.68181818181818E-4
11.4437519158067	5.0000001919279	3.99999860196668	3.00001237721395	2.00004675532302	1.00007031307399	2.56802706048815E-5
