# R[km]                  Mg [Msol]               lambda_2
12.03620167613088	0.7862363110887803	8655.652126745657
12.03189573093715	0.7993386208349451	7952.370968449654
12.02794676198755	0.8123464646238668	7318.599724334485
12.02431633357839	0.8252589427721641	6746.341859206092
12.02096945805926	0.8380752277347939	6228.643888311643
12.01787425183039	0.8507945600901858	5759.443441956233
12.01500162714923	0.8634162475836833	5333.442179027705
12.01232502690996	0.8759396777895114	4945.998452166495
12.00982029490885	0.888364483272849	4593.032073102453
12.00746557401117	0.9006904732663078	4270.951494767267
12.00524101694074	0.9129175024590632	3976.591527265427
12.00312855476778	0.925045466578153	3707.156622737449
12.0011117145234	0.9370742998417213	3460.172579859319
11.99917546704911	0.9490039714543895	3233.445036986765
11.99730608324186	0.9608344879316847	3025.024555415417
11.99549102038078	0.9725658881083787	2833.175231113952
11.99371881222598	0.9841982437502392	2656.349312054607
11.99197897263603	0.9957316587255859	2493.163976093069
11.99026191296626	1.007166266357975	2342.381682021247
11.98855887084337	1.018502253295825	2202.892802726286
11.98686191272638	1.029739940996791	2073.700211482126
11.98516387657423	1.040879701962549	1953.907382977326
11.98345827420303	1.051921926545368	1842.707030566582
11.9817392185726	1.062867023354857	1739.371550869761
11.98000136855235	1.07371541635864	1643.243847583134
11.97823987901169	1.084467544425672	1553.729845704457
11.97645035673099	1.095123860419031	1470.291509763294
11.97462882182668	1.105684830473184	1392.4411410721
11.97277167279369	1.116150932986068	1319.735846602624
11.9708756550428	1.126522658113549	1251.773077385533
11.96893783229535	1.136800507002798	1188.186400568967
11.96695555945896	1.146984992024028	1128.641966522093
11.96492646099544	1.157076635496881	1072.835075084495
11.96284842085831	1.167076001902347	1020.487359977374
11.96071958845193	1.176983697181786	971.3440564071609
11.9585383423437	1.186800334536072	925.1721329163908
11.95630326831506	1.196526530252788	881.7579699459227
11.95401313635539	1.206162905914273	840.9056686391623
11.95166688499456	1.215710087337299	802.4354010819046
11.94926360772982	1.225168702535836	766.1817976423611
11.94680253790342	1.234539383027663	731.9928239658869
11.94428303750134	1.243822763180481	699.7283940679688
11.94170458716217	1.253019478814762	669.2594178254295
11.93906677429202	1.26213016843943	640.4667737325393
11.93636928765779	1.271155470752059	613.2404916830908
11.93361190491134	1.280096026917446	587.4788721113899
11.93079448882497	1.288952477738495	563.0878711453554
11.92791697766524	1.297725465587797	539.980414083537
11.92497938039116	1.306415635528283	518.0758040543817
11.92198177939536	1.315023654220148	497.2991418017347
11.91892432463475	1.323550181150041	477.5809861456909
11.91580721971861	1.331995870692362	458.8568101285529
11.91263071924753	1.340361374707113	441.0666371788839
11.90939512127588	1.348647345355431	424.1546683460015
11.90610076727331	1.356854432344615	408.0690086423746
11.90274803498238	1.364983284420914	392.7612653751647
11.89933733839598	1.373034546838944	378.1863269900917
11.8958691205223	1.381008865306793	364.3021399720936
11.89234385421134	1.388906881474427	351.0694207831972
11.88876203721932	1.396729235351513	338.4515032004265
11.88512419018942	1.40447656478653	326.4140702367815
11.88143085514895	1.412149504069823	314.9250542112029
11.87768259163504	1.419748686536739	303.9544514898114
11.87387997737319	1.427274740272185	293.4741193129881
11.87002360277831	1.434728293201261	283.4577269957622
11.86611407305753	1.442109968259339	273.880559464524
11.86215200438812	1.449420386713461	264.7194526026459
11.85813802424599	1.45666017770256	255.9526179679956
11.8540727737849	1.463829946444198	247.5596462207712
11.84995689247608	1.470930287649551	239.5213290684573
11.84579102066244	1.47796179272529	231.8196263079064
11.84157579956038	1.484925050760463	224.4375662172768
11.83731187447176	1.491820644818542	217.3591438555828
11.83299988980657	1.498649157782991	210.5692991832751
11.82864049302341	1.505411167442401	204.0538476521084
11.82423433165701	1.512107249159171	197.7994164041745
11.81978205366578	1.518737974598701	191.7933533271608
11.8152843067892	1.525303913055676	186.0237739085377
11.81074173908322	1.531805629082498	180.4794249450933
11.80615499710126	1.538243684121346	175.1496677935868
11.80152472603012	1.544618637261393	170.0244729300412
11.79685156954551	1.550931042819311	165.0943272617191
11.79213616970554	1.55718145209484	160.350266302305
11.78737916504727	1.563370413270784	155.7837706366705
11.78258119287399	1.569498469814581	151.3868092675948
11.77774288576169	1.575566163529244	147.1517551814213
11.77286487518526	1.581574028941422	143.0713586176673
11.76794778678438	1.587522602458005	139.1387961296917
11.76299224639745	1.593412408060241	135.3475642523199
11.75799887431723	1.599243946485397	131.6915269878155
11.75296827486257	1.605017716139176	128.16483437545
11.74790104505557	1.610734208521199	124.7619407176433
11.74279777186093	1.61639391281089	121.4775747452806
11.73765903397015	1.621997316189924	118.3067319504546
11.73248540382277	1.627544900998906	115.2446569930849
11.7272774466059	1.633037147212951	112.2868179426242
11.72203572121004	1.638474530850478	109.4288898272432
11.71676078010241	1.643857526159724	106.6668024447186
11.71145316991537	1.6491866023266	103.9966244379606
11.70611343113154	1.654462227540041	101.4146524179944
11.70074209874623	1.659684865287313	98.91733408129694
11.69533970220037	1.664854975924869	96.50128792482533
11.68990676482422	1.66997301785053	94.16330631154815
11.68444380472709	1.67503944519173	91.90030927925022
11.67895133501603	1.68005470877527	89.70936746455411
11.67342986163534	1.685019258437813	87.58767731859231
11.66787988762753	1.689933537658943	85.53258580642937
11.6623019086546	1.694797989275225	83.54153220326529
11.6566964165479	1.699613051104578	81.61208446686537
11.65106389664708	1.704379159038595	79.74191484560477
11.64540483069193	1.709096743427063	77.92878843270572
11.63971969799828	1.713766225834574	76.17060924488689
11.634008972083	1.718388010547046	74.46532683040977
11.62827311425071	1.722962497976025	72.81100463167058
11.62251257519034	1.7274900866646	71.2057824706922
11.61672779810969	1.731971170424139	69.64789345724623
11.61091921715906	1.736406141570664	68.13562305258657
11.60508725968807	1.740795389297782	66.66734873855786
11.59923234730328	1.745139297621129	65.24149127485104
11.59335489299586	1.749438253309863	63.85658046437696
11.58745530667018	1.753692632950286	62.51115199245958
11.58153398968607	1.757902816650589	61.2038399645501
11.57559133968229	1.762069178441053	59.93331872615426
11.56962774736438	1.76619209204298	58.69832589712755
11.5636435990581	1.770271927450568	57.49764109747066
11.55763927682872	1.774309050454189	56.3300939687665
11.55161515635187	1.77830382683	55.19456899034751
11.54557160868742	1.782256619760928	54.08998889111851
11.53950900191945	1.786167786180443	53.01531452130079
11.53342769665621	1.79003768613596	51.96955529555839
11.52732805216769	1.793866670892515	50.95175402575054
11.52121042103257	1.797655093804885	49.96098927994201
11.51507515245507	1.80140330423446	48.99638814256019
11.50892259131176	1.805111648178477	48.05709154667266
11.50275307855833	1.808780469084065	47.14228751797967
11.49656694995537	1.812410110130891	46.25119078850484
11.49036454265308	1.816000905055935	45.38304713158889
11.48414619240232	1.819553176272027	44.53712212823665
11.47791222472308	1.82306724651941	43.71272875311819
11.47166295861832	1.826543433568663	42.90918832308576
11.46539870782567	1.829982050385771	42.1258518815587
11.4591197785352	1.833383411817374	41.36209604985667
11.45282647336529	1.836747826647642	40.61732073166298
11.44651908888686	1.840075602959605	39.89094309215421
11.44019791718056	1.843367047000478	39.18240574940141
11.43386324567521	1.846622461890619	38.49116723092082
11.42751535840824	1.84984214734885	37.8167099942499
11.42115453425544	1.853026403077783	37.15852810876416
11.41478104883502	1.85617552453969	36.51613613327829
11.40839517332649	1.85928980691327	35.88906953568662
11.40199717533221	1.862369542892171	35.27688129840233
11.39558731893324	1.865415022229694	34.67913045608892
11.38916586558823	1.8684265310584	34.09539503898148
11.3827330716478	1.871404357039542	33.52527147658901
11.37628919074836	1.874348784590249	32.96837069736282
11.36983447443673	1.877260093185274	32.42430905347408
11.36336917001151	1.880138562424881	31.89272079355624
11.3568935216494	1.882984470304918	31.37324967310038
11.35040777072028	1.885798092167688	30.86555996804701
11.34391215573367	1.888579701040261	30.36931929218422
11.33740691183457	1.891329568513211	29.88420593804391
11.33089227264258	1.894047961756777	29.40990958988794
11.32436846667038	1.896735150370811	28.94613347232189
11.31783572184771	1.899391397663662	28.49258697970217
11.31129426777732	1.902016962618105	28.04898927734133
11.3047443316295	1.904612099274064	27.61507373027887
11.29818613390392	1.907177060704593	27.1905767029426
11.29161989204655	1.90971209569131	26.7752456196696
11.28504581832942	1.912217453833648	26.36883226228752
11.27846412324559	1.914693380477003	25.97110755850498
11.27187501308198	1.917140118741867	25.58183250788422
11.265278691177	1.91955791031334	25.20078566921925
11.25867535738995	1.921946996559325	24.8277519988362
11.25206520889856	1.924307616363332	24.46252722382995
11.2454484402406	1.926640005623977	24.10490182022212
11.23882524355574	1.928944398356119	23.7546832499014
11.23219580784586	1.931221027736944	23.41167819196663
11.22556031998823	1.93347012448837	23.07570371092572
11.21891896374044	1.935691918987667	22.74658035528739
11.21227192108934	1.937886637754343	22.42413445294195
11.20561937174705	1.940054506098834	22.10819305830245
11.19896149209291	1.942195750473799	21.79860173885682
11.19229845797274	1.944310590081286	21.49519513773248
11.18563044172811	1.946399246618727	21.19781656842225
11.17895761351522	1.948461940797452	20.90632673724674
11.17228014273029	1.950498886991819	20.62057173336933
11.16559819516499	1.952510302161683	20.34041287670734
11.15891193534843	1.954496400704107	20.06571672667713
11.15222152630414	1.956457392472296	19.79634422460367
11.14552712787412	1.958393490629041	19.5321707439574
11.1388288988738	1.960304902793842	19.27307054817348
11.13212699608671	1.962191836642387	19.01892095826875
11.12542157473248	1.964054496832835	18.76960334935199
11.11871278737036	1.965893089157134	18.52500619967198
11.11200079000043	1.967707811706566	18.28501292212653
11.10528573488862	1.96949886559296	18.04952128518068
11.09856777270926	1.971266443908499	17.81842015845111
11.09184705029022	1.97301074221853	17.59160963163006
11.08512371263203	1.974731953828636	17.36899015287171
11.07839790253958	1.97643027008749	17.15046730240206