Optical constants

Refractive index of Al:ZnO (Aluminium-doped zinc oxide, AZO)

Shkondin et al. 2017: n,k 2–20 µm

Data: tabulated nk
Range: 2–20 µm
Points: 1801
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.08295
Extinction coefficient k: 5.03173

Permittivity ε₁: -20.9796
Permittivity ε₂: 20.9617

Absorption coefficient α: 100048 cm⁻¹
Penetration depth δ = λ/(2πk): 199.903 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.449106 µm⁻¹

Group index n_g: -0.755401
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 0.196178 eV

ε = (n + ik)², α = 4πk/λ, n_g = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith

import lightsmith as ls

# Al:ZnO (Aluminium-doped zinc oxide, AZO): Shkondin et al. 2017: n,k 2–20 µm
al_zno = ls.fetch_refractiveindex("other", "Al-ZnO", "Shkondin", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al_zno.range_nm)  # (2000, 20000) nm
eps = al_zno.eps([6320])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_8dcf1f58cb1a/lightsmith"
al_zno = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(al_zno.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (al-zno/shkondin-2017).

# ... load al_zno as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=al_zno)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=2000, stop_nm=20000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Comments and conditions

Nanopillar.

References

E. Shkondin, O. Takayama, M. E. Aryaee Panah, P. Liu, P. V. Larsen, M. D. Mar, F. Jensen, A. V. Lavrinenko. Large-scale high aspect ratio Al-doped ZnO nanopillars arrays as anisotropic metamaterials. Opt. Mater. Express 7, 1606-1627 (2017) (Numerical data kindly provided by Osamu Takayama)

doi:10.1364/ome.7.001606 Large-scale high aspect ratio Al-doped ZnO nanopillars arrays as anisotropic metamaterials, Optical Materials Express (2017)

Cite

E. Shkondin et al.. Large-scale high aspect ratio Al-doped ZnO nanopillars arrays as anisotropic metamaterials. Optical Materials Express, 7, 1606 (2017), doi:10.1364/ome.7.001606; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1801 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Al:ZnO (Aluminium-doped zinc oxide, AZO), Shkondin et al. 2017: n,k 2–20 µm: n and k versus wavelength
λ (µm)	n	k
2.0	0.583693163	0.9201641538
2.01	0.5807238939	0.9381656879
2.02	0.5780040507	0.9560578008
2.03	0.5755213234	0.9738368219
2.04	0.5732639297	0.99149991
2.05	0.5712206294	1.0090449517
2.06	0.5693807295	1.0264704693
2.07	0.5677340799	1.0437755365
2.08	0.5662710646	1.0609597038
2.09	0.5649825873	1.0780229313
2.1	0.5638600545	1.0949655289
2.11	0.562895355	1.1117881043
2.12	0.5620808394	1.1284915163
2.13	0.5614092977	1.1450768343
2.14	0.560873937	1.1615453026
2.15	0.5604683591	1.17789831
2.16	0.5601865384	1.1941373622
2.17	0.5600228005	1.2102640587
2.18	0.5599718015	1.2262800727
2.19	0.560028508	1.2421871336
2.2	0.5601881783	1.257987012
2.21	0.5604463441	1.2736815068
2.22	0.5607987937	1.2892724342
2.23	0.5612415555	1.3047616185
2.24	0.5617708832	1.3201508839
2.25	0.5623832416	1.3354420479
2.26	0.5630752925	1.3506369155
2.27	0.5638438833	1.3657372746
2.28	0.5646860341	1.3807448923
2.29	0.5655989277	1.3956615112
2.3	0.5665798989	1.4104888469
2.31	0.5676264249	1.4252285861
2.32	0.5687361167	1.4398823849
2.33	0.5699067105	1.4544518671
2.34	0.5711360602	1.4689386239
2.35	0.5724221298	1.4833442127
2.36	0.5737629871	1.4976701569
2.37	0.5751567969	1.5119179457
2.38	0.5766018158	1.5260890338
2.39	0.5780963859	1.5401848419
2.4	0.5796389306	1.5542067565
2.41	0.5812279489	1.5681561306
2.42	0.5828620118	1.5820342837
2.43	0.5845397575	1.5958425028
2.44	0.5862598879	1.6095820422
2.45	0.5880211648	1.6232541251
2.46	0.5898224063	1.636859943
2.47	0.5916624843	1.6504006576
2.48	0.5935403207	1.6638774004
2.49	0.5954548851	1.677291274
2.5	0.5974051923	1.6906433528
2.51	0.5993902993	1.7039346832
2.52	0.6014093036	1.717166285
2.53	0.6034613408	1.7303391513
2.54	0.6055455823	1.7434542501
2.55	0.6076612341	1.7565125243
2.56	0.6098075343	1.7695148924
2.57	0.6119837519	1.7824622498
2.58	0.6141891851	1.7953554685
2.59	0.6164231597	1.8081953988
2.6	0.6186850277	1.820982869
2.61	0.6209741664	1.8337186866
2.62	0.6232899766	1.8464036386
2.63	0.6256318817	1.8590384924
2.64	0.6279993268	1.8716239959
2.65	0.6303917773	1.8841608787
2.66	0.632808718	1.8966498519
2.67	0.6352496525	1.9090916093
2.68	0.637714102	1.9214868275
2.69	0.6402016045	1.9338361665
2.7	0.6427117141	1.9461402703
2.71	0.6452440003	1.9583997672
2.72	0.6477980473	1.9706152703
2.73	0.6503734533	1.9827873781
2.74	0.6529698297	1.9949166747
2.75	0.655586801	2.0070037303
2.76	0.6582240036	2.0190491017
2.77	0.6608810858	2.0310533327
2.78	0.663557707	2.0430169541
2.79	0.6662535373	2.0549404847
2.8	0.6689682572	2.0668244309
2.81	0.6717015568	2.0786692878
2.82	0.6744531357	2.0904755391
2.83	0.6772227027	2.1022436574
2.84	0.6800099749	2.1139741047
2.85	0.682814678	2.1256673326
2.86	0.6856365456	2.1373237826
2.87	0.6884753187	2.1489438864
2.88	0.691330746	2.1605280662
2.89	0.694202583	2.1720767347
2.9	0.697090592	2.183590296
2.91	0.6999945419	2.1950691451
2.92	0.7029142079	2.2065136686
2.93	0.705849371	2.2179242448
2.94	0.7087998181	2.229301244
2.95	0.7117653417	2.2406450284
2.96	0.7147457397	2.2519559529
2.97	0.7177408151	2.2632343647
2.98	0.7207503757	2.2744806039
2.99	0.7237742344	2.2856950036
3.0	0.7268122085	2.2968778899
3.01	0.7298641199	2.3080295824
3.02	0.7329297946	2.319150394
3.03	0.7360090629	2.3302406315
3.04	0.739101759	2.3413005954
3.05	0.7422077209	2.3523305802
3.06	0.7453267905	2.3633308745
3.07	0.7484588131	2.3743017614
3.08	0.7516036376	2.3852435182
3.09	0.7547611161	2.396156417
3.1	0.757931104	2.4070407245
3.11	0.76111346	2.4178967023
3.12	0.7643080455	2.4287246069
3.13	0.767514725	2.4395246902
3.14	0.7707333659	2.4502971989
3.15	0.7739638381	2.4610423754
3.16	0.7772060144	2.4717604575
3.17	0.7804597699	2.4824516784
3.18	0.7837249825	2.4931162671
3.19	0.7870015321	2.5037544486
3.2	0.7902893013	2.5143664434
3.21	0.7935881748	2.5249524682
3.22	0.7968980393	2.5355127359
3.23	0.8002187839	2.5460474553
3.24	0.8035502996	2.5565568318
3.25	0.8068924795	2.5670410669
3.26	0.8102452184	2.5775003586
3.27	0.8136084132	2.5879349015
3.28	0.8169819625	2.5983448868
3.29	0.8203657666	2.6087305022
3.3	0.8237597278	2.6190919326
3.31	0.8271637497	2.6294293593
3.32	0.8305777377	2.6397429607
3.33	0.8340015987	2.6500329121
3.34	0.8374352411	2.6602993861
3.35	0.840878575	2.6705425521
3.36	0.8443315116	2.6807625768
3.37	0.8477939637	2.6909596242
3.38	0.8512658454	2.7011338556
3.39	0.8547470721	2.7112854296
3.4	0.8582375606	2.7214145023
3.41	0.8617372289	2.7315212272
3.42	0.865245996	2.7416057555
3.43	0.8687637824	2.7516682358
3.44	0.8722905095	2.7617088144
3.45	0.8758261	2.7717276354
3.46	0.8793704777	2.7817248406
3.47	0.8829235672	2.7917005694
3.48	0.8864852945	2.8016549594
3.49	0.8900555863	2.8115881457
3.5	0.8936343705	2.8215002617
3.51	0.8972215759	2.8313914386
3.52	0.9008171321	2.8412618055
3.53	0.9044209698	2.8511114897
3.54	0.9080330204	2.8609406168
3.55	0.9116532164	2.8707493101
3.56	0.915281491	2.8805376913
3.57	0.9189177783	2.8903058805
3.58	0.922562013	2.9000539958
3.59	0.9262141308	2.9097821537
3.6	0.9298740682	2.919490469
3.61	0.9335417622	2.9291790547
3.62	0.9372171509	2.9388480226
3.63	0.9409001728	2.9484974825
3.64	0.9445907671	2.958127543
3.65	0.948288874	2.9677383108
3.66	0.951994434	2.9773298915
3.67	0.9557073885	2.9869023891
3.68	0.9594276795	2.996455906
3.69	0.9631552494	3.0059905436
3.7	0.9668900416	3.0155064015
3.71	0.9706319997	3.0250035783
3.72	0.9743810682	3.0344821711
3.73	0.978137192	3.0439422758
3.74	0.9819003167	3.0533839869
3.75	0.9856703882	3.0628073978
3.76	0.9894473532	3.0722126007
3.77	0.9932311588	3.0815996865
3.78	0.9970217526	3.090968745
3.79	1.0008190828	3.1003198648
3.8	1.004623098	3.1096531334
3.81	1.0084337473	3.1189686372
3.82	1.0122509804	3.1282664616
3.83	1.0160747472	3.1375466909
3.84	1.0199049984	3.1468094081
3.85	1.0237416848	3.1560546956
3.86	1.027584758	3.1652826345
3.87	1.0314341696	3.174493305
3.88	1.0352898721	3.1836867864
3.89	1.039151818	3.1928631569
3.9	1.0430199605	3.2020224939
3.91	1.046894253	3.2111648739
3.92	1.0507746494	3.2202903724
3.93	1.0546611041	3.2293990641
3.94	1.0585535716	3.2384910227
3.95	1.0624520069	3.2475663212
3.96	1.0663563655	3.2566250317
3.97	1.0702666031	3.2656672256
3.98	1.0741826758	3.2746929732
3.99	1.0781045399	3.2837023443
4.0	1.0820321524	3.2926954079
4.01	1.0859654704	3.3016722321
4.02	1.0899044512	3.3106328842
4.03	1.0938490526	3.319577431
4.04	1.0977992329	3.3285059384
4.05	1.1017549502	3.3374184717
4.06	1.1057161635	3.3463150954
4.07	1.1096828317	3.3551958733
4.08	1.1136549141	3.3640608687
4.09	1.1176323704	3.372910144
4.1	1.1216151604	3.3817437612
4.11	1.1256032443	3.3905617814
4.12	1.1295965827	3.3993642652
4.13	1.1335951363	3.4081512727
4.14	1.1375988661	3.4169228632
4.15	1.1416077334	3.4256790955
4.16	1.1456216997	3.4344200278
4.17	1.149640727	3.4431457177
4.18	1.1536647772	3.4518562222
4.19	1.1576938127	3.4605515978
4.2	1.1617277961	3.4692319005
4.21	1.1657666902	3.4778971856
4.22	1.1698104582	3.486547508
4.23	1.1738590633	3.4951829222
4.24	1.177912469	3.5038034818
4.25	1.1819706392	3.5124092403
4.26	1.186033538	3.5210002504
4.27	1.1901011294	3.5295765645
4.28	1.1941733781	3.5381382345
4.29	1.1982502487	3.5466853118
4.3	1.2023317061	3.5552178472
4.31	1.2064177155	3.5637358912
4.32	1.2105082421	3.572239494
4.33	1.2146032517	3.5807287049
4.34	1.2187027099	3.5892035732
4.35	1.2228065827	3.5976641476
4.36	1.2269148363	3.6061104764
4.37	1.2310274371	3.6145426073
4.38	1.2351443516	3.622960588
4.39	1.2392655467	3.6313644654
4.4	1.2433909892	3.6397542862
4.41	1.2475206465	3.6481300967
4.42	1.2516544857	3.6564919428
4.43	1.2557924745	3.6648398699
4.44	1.2599345806	3.6731739233
4.45	1.2640807719	3.6814941476
4.46	1.2682310166	3.6898005873
4.47	1.2723852827	3.6980932865
4.48	1.276543539	3.7063722888
4.49	1.2807057539	3.7146376377
4.5	1.2848718962	3.7228893761
4.51	1.2890419351	3.7311275466
4.52	1.2932158395	3.7393521918
4.53	1.2973935788	3.7475633536
4.54	1.3015751226	3.7557610737
4.55	1.3057604404	3.7639453935
4.56	1.3099495021	3.7721163542
4.57	1.3141422777	3.7802739964
4.58	1.3183387373	3.7884183607
4.59	1.3225388513	3.7965494873
4.6	1.32674259	3.804667416
4.61	1.3309499241	3.8127721866
4.62	1.3351608244	3.8208638382
4.63	1.3393752619	3.8289424099
4.64	1.3435932075	3.8370079405
4.65	1.3478146326	3.8450604686
4.66	1.3520395085	3.8531000322
4.67	1.3562678067	3.8611266695
4.68	1.360499499	3.8691404181
4.69	1.3647345572	3.8771413154
4.7	1.3689729532	3.8851293987
4.71	1.3732146592	3.8931047049
4.72	1.3774596475	3.9010672707
4.73	1.3817078903	3.9090171325
4.74	1.3859593604	3.9169543266
4.75	1.3902140303	3.9248788891
4.76	1.3944718729	3.9327908555
4.77	1.3987328612	3.9406902615
4.78	1.4029969683	3.9485771423
4.79	1.4072641673	3.9564515331
4.8	1.4115344317	3.9643134687
4.81	1.4158077349	3.9721629837
4.82	1.4200840507	3.9800001126
4.83	1.4243633527	3.9878248896
4.84	1.4286456148	3.9956373486
4.85	1.4329308112	4.0034375236
4.86	1.4372189158	4.0112254481
4.87	1.4415099031	4.0190011554
4.88	1.4458037474	4.0267646789
4.89	1.4501004233	4.0345160515
4.9	1.4543999054	4.0422553061
4.91	1.4587021684	4.0499824752
4.92	1.4630071874	4.0576975913
4.93	1.4673149374	4.0654006867
4.94	1.4716253934	4.0730917935
4.95	1.4759385308	4.0807709435
4.96	1.4802543249	4.0884381685
4.97	1.4845727513	4.0960935001
4.98	1.4888937857	4.1037369695
4.99	1.4932174036	4.111368608
5.0	1.4975435811	4.1189884467
5.01	1.5018722941	4.1265965164
5.02	1.5062035186	4.1341928478
5.03	1.510537231	4.1417774714
5.04	1.5148734076	4.1493504176
5.05	1.5192120247	4.1569117168
5.06	1.5235530589	4.1644613988
5.07	1.527896487	4.1719994937
5.08	1.5322422856	4.1795260312
5.09	1.5365904317	4.1870410409
5.1	1.5409409022	4.1945445522
5.11	1.5452936744	4.2020365946
5.12	1.5496487253	4.2095171971
5.13	1.5540060324	4.2169863888
5.14	1.558365573	4.2244441986
5.15	1.5627273248	4.2318906552
5.16	1.5670912653	4.2393257872
5.17	1.5714573723	4.2467496231
5.18	1.5758256237	4.2541621913
5.19	1.5801959974	4.2615635199
5.2	1.5845684715	4.268953637
5.21	1.5889430242	4.2763325705
5.22	1.5933196338	4.2837003483
5.23	1.5976982786	4.291056998
5.24	1.6020789371	4.2984025472
5.25	1.606461588	4.3057370234
5.26	1.6108462098	4.3130604538
5.27	1.6152327815	4.3203728656
5.28	1.6196212818	4.327674286
5.29	1.6240116897	4.3349647417
5.3	1.6284039844	4.3422442598
5.31	1.632798145	4.3495128668
5.32	1.6371941509	4.3567705895
5.33	1.6415919813	4.3640174542
5.34	1.6459916158	4.3712534874
5.35	1.6503930339	4.3784787153
5.36	1.6547962153	4.385693164
5.37	1.6592011398	4.3928968597
5.38	1.6636077873	4.4000898282
5.39	1.6680161376	4.4072720954
5.4	1.672426171	4.414443687
5.41	1.6768378673	4.4216046286
5.42	1.6812512071	4.4287549457
5.43	1.6856661705	4.4358946637
5.44	1.690082738	4.443023808
5.45	1.6945008901	4.4501424038
5.46	1.6989206074	4.4572504761
5.47	1.7033418706	4.4643480501
5.48	1.7077646605	4.4714351505
5.49	1.712188958	4.4785118022
5.5	1.7166147441	4.48557803
5.51	1.7210419998	4.4926338585
5.52	1.7254707063	4.4996793121
5.53	1.7299008449	4.5067144155
5.54	1.7343323967	4.5137391928
5.55	1.7387653433	4.5207536684
5.56	1.7431996662	4.5277578664
5.57	1.747635347	4.534751811
5.58	1.7520723673	4.5417355261
5.59	1.7565107089	4.5487090356
5.6	1.7609503537	4.5556723633
5.61	1.7653912836	4.562625533
5.62	1.7698334806	4.5695685684
5.63	1.7742769268	4.5765014929
5.64	1.7787216045	4.5834243302
5.65	1.7831674959	4.5903371035
5.66	1.7876145834	4.5972398361
5.67	1.7920628494	4.6041325515
5.68	1.7965122764	4.6110152726
5.69	1.8009628472	4.6178880225
5.7	1.8054145442	4.6247508244
5.71	1.8098673505	4.631603701
5.72	1.8143212487	4.6384466752
5.73	1.8187762219	4.6452797699
5.74	1.8232322531	4.6521030076
5.75	1.8276893253	4.658916411
5.76	1.8321474218	4.6657200026
5.77	1.8366065258	4.6725138049
5.78	1.8410666208	4.6792978403
5.79	1.84552769	4.6860721311
5.8	1.849989717	4.6928366995
5.81	1.8544526854	4.6995915677
5.82	1.8589165789	4.7063367579
5.83	1.8633813812	4.713072292
5.84	1.8678470761	4.719798192
5.85	1.8723136475	4.7265144798
5.86	1.8767810794	4.7332211772
5.87	1.8812493559	4.739918306
5.88	1.8857184611	4.7466058878
5.89	1.8901883791	4.7532839443
5.9	1.8946590943	4.7599524971
5.91	1.899130591	4.7666115675
5.92	1.9036028537	4.7732611771
5.93	1.9080758668	4.7799013471
5.94	1.912549615	4.7865320989
5.95	1.9170240829	4.7931534537
5.96	1.9214992553	4.7997654326
5.97	1.9259751169	4.8063680568
5.98	1.9304516526	4.8129613473
5.99	1.9349288475	4.819545325
6.0	1.9394066864	4.8261200108
6.01	1.9438851546	4.8326854256
6.02	1.9483642372	4.8392415903
6.03	1.9528439195	4.8457885254
6.04	1.9573241866	4.8523262517
6.05	1.9618050242	4.8588547898
6.06	1.9662864176	4.8653741602
6.07	1.9707683523	4.8718843834
6.08	1.975250814	4.8783854798
6.09	1.9797337883	4.8848774698
6.1	1.984217261	4.8913603737
6.11	1.9887012179	4.8978342118
6.12	1.9931856448	4.9042990042
6.13	1.9976705279	4.9107547711
6.14	2.0021558529	4.9172015326
6.15	2.0066416062	4.9236393087
6.16	2.0111277738	4.9300681193
6.17	2.0156143419	4.9364879845
6.18	2.0201012969	4.9428989239
6.19	2.0245886251	4.9493009575
6.2	2.029076313	4.955694105
6.21	2.033564347	4.9620783861
6.22	2.0380527138	4.9684538204
6.23	2.0425414	4.9748204275
6.24	2.0470303922	4.981178227
6.25	2.0515196773	4.9875272383
6.26	2.0560092421	4.9938674808
6.27	2.0604990735	5.000198974
6.28	2.0649891585	5.0065217372
6.29	2.069479484	5.0128357896
6.3	2.0739700373	5.0191411505
6.31	2.0784608055	5.025437839
6.32	2.0829517757	5.0317258742
6.33	2.0874429353	5.0380052753
6.34	2.0919342717	5.0442760613
6.35	2.0964257723	5.050538251
6.36	2.1009174245	5.0567918635
6.37	2.1054092159	5.0630369176
6.38	2.1099011342	5.0692734321
6.39	2.114393167	5.0755014259
6.4	2.118885302	5.0817209175
6.41	2.1233775271	5.0879319258
6.42	2.12786983	5.0941344693
6.43	2.1323621988	5.1003285667
6.44	2.1368546215	5.1065142364
6.45	2.141347086	5.1126914969
6.46	2.1458395804	5.1188603667
6.47	2.1503320931	5.1250208641
6.48	2.1548246121	5.1311730076
6.49	2.1593171258	5.1373168154
6.5	2.1638096225	5.1434523058
6.51	2.1683020907	5.1495794969
6.52	2.1727945188	5.155698407
6.53	2.1772868954	5.1618090541
6.54	2.181779209	5.1679114563
6.55	2.1862714483	5.1740056317
6.56	2.1907636021	5.1800915982
6.57	2.195255659	5.1861693738
6.58	2.1997476079	5.1922389763
6.59	2.2042394377	5.1983004236
6.6	2.2087311373	5.2043537335
6.61	2.2132226958	5.2103989238
6.62	2.2177141022	5.2164360121
6.63	2.2222053457	5.2224650162
6.64	2.2266964153	5.2284859537
6.65	2.2311873003	5.2344988421
6.66	2.2356779901	5.240503699
6.67	2.2401684739	5.246500542
6.68	2.2446587412	5.2524893884
6.69	2.2491487814	5.2584702556
6.7	2.2536385841	5.2644431611
6.71	2.2581281387	5.2704081222
6.72	2.262617435	5.2763651561
6.73	2.2671064625	5.2823142802
6.74	2.2715952111	5.2882555115
6.75	2.2760836706	5.2941888674
6.76	2.2805718307	5.3001143648
6.77	2.2850596813	5.3060320209
6.78	2.2895472125	5.3119418527
6.79	2.2940344143	5.3178438773
6.8	2.2985212766	5.3237381115
6.81	2.3030077896	5.3296245723
6.82	2.3074939434	5.3355032767
6.83	2.3119797284	5.3413742413
6.84	2.3164651347	5.347237483
6.85	2.3209501527	5.3530930186
6.86	2.3254347728	5.3589408648
6.87	2.3299189853	5.3647810382
6.88	2.3344027808	5.3706135556
6.89	2.3388861498	5.3764384334
6.9	2.3433690829	5.3822556884
6.91	2.3478515707	5.3880653369
6.92	2.3523336039	5.3938673955
6.93	2.3568151733	5.3996618806
6.94	2.3612962696	5.4054488086
6.95	2.3657768837	5.411228196
6.96	2.3702570065	5.4170000589
6.97	2.3747366288	5.4227644138
6.98	2.3792157418	5.4285212768
6.99	2.3836943364	5.4342706642
7.0	2.3881724037	5.4400125921
7.01	2.3926499349	5.4457470768
7.02	2.3971269211	5.4514741342
7.03	2.4016033536	5.4571937805
7.04	2.4060792237	5.4629060317
7.05	2.4105545227	5.4686109038
7.06	2.415029242	5.4743084127
7.07	2.419503373	5.4799985743
7.08	2.4239769072	5.4856814046
7.09	2.4284498361	5.4913569193
7.1	2.4329221513	5.4970251343
7.11	2.4373938445	5.5026860654
7.12	2.4418649072	5.5083397282
7.13	2.4463353313	5.5139861385
7.14	2.4508051084	5.519625312
7.15	2.4552742304	5.5252572642
7.16	2.4597426891	5.5308820107
7.17	2.4642104765	5.5364995671
7.18	2.4686775844	5.542109949
7.19	2.4731440049	5.5477131717
7.2	2.47760973	5.5533092508
7.21	2.4820747518	5.5588982016
7.22	2.4865390625	5.5644800395
7.23	2.4910026541	5.5700547799
7.24	2.495465519	5.5756224381
7.25	2.4999276493	5.5811830293
7.26	2.5043890375	5.5867365688
7.27	2.5088496758	5.5922830717
7.28	2.5133095566	5.5978225533
7.29	2.5177686725	5.6033550286
7.3	2.5222270158	5.6088805128
7.31	2.5266845791	5.6143990209
7.32	2.531141355	5.619910568
7.33	2.5355973361	5.625415169
7.34	2.5400525151	5.6309128388
7.35	2.5445068846	5.6364035926
7.36	2.5489604374	5.641887445
7.37	2.5534131663	5.6473644109
7.38	2.5578650641	5.6528345053
7.39	2.5623161237	5.6582977429
7.4	2.566766338	5.6637541383
7.41	2.5712157	5.6692037064
7.42	2.5756642026	5.6746464619
7.43	2.5801118389	5.6800824194
7.44	2.584558602	5.6855115934
7.45	2.589004485	5.6909339987
7.46	2.593449481	5.6963496497
7.47	2.5978935834	5.701758561
7.48	2.6023367852	5.7071607471
7.49	2.6067790798	5.7125562223
7.5	2.6112204605	5.7179450013
7.51	2.6156609208	5.7233270982
7.52	2.6201004539	5.7287025276
7.53	2.6245390533	5.7340713037
7.54	2.6289767125	5.7394334407
7.55	2.6334134251	5.7447889531
7.56	2.6378491846	5.7501378549
7.57	2.6422839846	5.7554801605
7.58	2.6467178188	5.7608158839
7.59	2.6511506807	5.7661450392
7.6	2.6555825642	5.7714676407
7.61	2.660013463	5.7767837023
7.62	2.6644433709	5.7820932381
7.63	2.6688722818	5.7873962621
7.64	2.6733001894	5.7926927883
7.65	2.6777270877	5.7979828305
7.66	2.6821529707	5.8032664028
7.67	2.6865778323	5.808543519
7.68	2.6910016666	5.8138141929
7.69	2.6954244676	5.8190784383
7.7	2.6998462294	5.8243362691
7.71	2.7042669462	5.829587699
7.72	2.7086866121	5.8348327416
7.73	2.7131052213	5.8400714108
7.74	2.717522768	5.8453037201
7.75	2.7219392466	5.8505296832
7.76	2.7263546514	5.8557493136
7.77	2.7307689766	5.860962625
7.78	2.7351822168	5.8661696309
7.79	2.7395943662	5.8713703448
7.8	2.7440054194	5.8765647801
7.81	2.7484153709	5.8817529503
7.82	2.7528242152	5.8869348689
7.83	2.7572319468	5.8921105491
7.84	2.7616385603	5.8972800044
7.85	2.7660440504	5.902443248
7.86	2.7704484118	5.9076002933
7.87	2.774851639	5.9127511536
7.88	2.779253727	5.917895842
7.89	2.7836546704	5.9230343717
7.9	2.788054464	5.928166756
7.91	2.7924531028	5.9332930079
7.92	2.7968505814	5.9384131407
7.93	2.8012468949	5.9435271673
7.94	2.8056420382	5.9486351008
7.95	2.8100360063	5.9537369543
7.96	2.8144287941	5.9588327407
7.97	2.8188203967	5.9639224729
7.98	2.8232108091	5.9690061641
7.99	2.8276000266	5.974083827
8.0	2.8319880441	5.9791554744
8.01	2.8363748568	5.9842211194
8.02	2.84076046	5.9892807746
8.03	2.8451448489	5.9943344529
8.04	2.8495280188	5.9993821671
8.05	2.8539099648	6.0044239298
8.06	2.8582906824	6.0094597538
8.07	2.862670167	6.0144896517
8.08	2.8670484138	6.0195136361
8.09	2.8714254184	6.0245317198
8.1	2.8758011761	6.0295439153
8.11	2.8801756824	6.0345502351
8.12	2.884548933	6.0395506918
8.13	2.8889209232	6.0445452978
8.14	2.8932916486	6.0495340657
8.15	2.897661105	6.0545170079
8.16	2.9020292878	6.0594941368
8.17	2.9063961928	6.0644654647
8.18	2.9107618156	6.0694310042
8.19	2.9151261521	6.0743907674
8.2	2.9194891978	6.0793447667
8.21	2.9238509486	6.0842930144
8.22	2.9282114004	6.0892355227
8.23	2.9325705489	6.0941723038
8.24	2.93692839	6.0991033699
8.25	2.9412849196	6.1040287333
8.26	2.9456401337	6.1089484059
8.27	2.9499940282	6.1138624
8.28	2.954346599	6.1187707276
8.29	2.9586978422	6.1236734008
8.3	2.9630477539	6.1285704315
8.31	2.96739633	6.1334618319
8.32	2.9717435667	6.1383476138
8.33	2.9760894602	6.1432277892
8.34	2.9804340065	6.14810237
8.35	2.9847772018	6.1529713682
8.36	2.9891190424	6.1578347955
8.37	2.9934595245	6.1626926638
8.38	2.9977986443	6.167544985
8.39	3.0021363981	6.1723917707
8.4	3.0064727822	6.1772330328
8.41	3.0108077931	6.182068783
8.42	3.015141427	6.186899033
8.43	3.0194736803	6.1917237944
8.44	3.0238045496	6.1965430789
8.45	3.0281340311	6.2013568981
8.46	3.0324621214	6.2061652637
8.47	3.036788817	6.2109681871
8.48	3.0411141144	6.2157656799
8.49	3.0454380102	6.2205577537
8.5	3.0497605009	6.2253444199
8.51	3.0540815832	6.23012569
8.52	3.0584012536	6.2349015754
8.53	3.0627195089	6.2396720876
8.54	3.0670363457	6.2444372378
8.55	3.0713517607	6.2491970375
8.56	3.0756657506	6.253951498
8.57	3.0799783122	6.2587006306
8.58	3.0842894424	6.2634444466
8.59	3.0885991377	6.2681829573
8.6	3.0929073952	6.2729161737
8.61	3.0972142117	6.2776441073
8.62	3.101519584	6.2823667691
8.63	3.105823509	6.2870841702
8.64	3.1101259837	6.2917963219
8.65	3.114427005	6.2965032352
8.66	3.1187265699	6.3012049211
8.67	3.1230246754	6.3059013908
8.68	3.1273213185	6.3105926553
8.69	3.1316164962	6.3152787254
8.7	3.1359102057	6.3199596123
8.71	3.1402024439	6.3246353269
8.72	3.1444932081	6.32930588
8.73	3.1487824954	6.3339712826
8.74	3.1530703028	6.3386315456
8.75	3.1573566277	6.3432866797
8.76	3.1616414672	6.3479366959
8.77	3.1659248185	6.3525816049
8.78	3.1702066788	6.3572214174
8.79	3.1744870456	6.3618561443
8.8	3.178765916	6.3664857962
8.81	3.1830432874	6.3711103838
8.82	3.1873191571	6.3757299178
8.83	3.1915935224	6.380344409
8.84	3.1958663809	6.3849538677
8.85	3.2001377297	6.3895583048
8.86	3.2044075665	6.3941577307
8.87	3.2086758886	6.398752156
8.88	3.2129426936	6.4033415912
8.89	3.2172079788	6.4079260468
8.9	3.2214717418	6.4125055333
8.91	3.2257339802	6.4170800612
8.92	3.2299946915	6.4216496408
8.93	3.2342538733	6.4262142826
8.94	3.2385115231	6.4307739969
8.95	3.2427676386	6.4353287942
8.96	3.2470222175	6.4398786847
8.97	3.2512752573	6.4444236787
8.98	3.2555267559	6.4489637865
8.99	3.2597767108	6.4534990184
9.0	3.2640251197	6.4580293847
9.01	3.2682719805	6.4625548954
9.02	3.2725172909	6.4670755609
9.03	3.2767610487	6.4715913912
9.04	3.2810032516	6.4761023966
9.05	3.2852438975	6.4806085871
9.06	3.2894829842	6.4851099728
9.07	3.2937205096	6.4896065637
9.08	3.2979564716	6.4940983701
9.09	3.302190868	6.4985854018
9.1	3.3064236968	6.5030676688
9.11	3.3106549559	6.5075451812
9.12	3.3148846432	6.5120179489
9.13	3.3191127568	6.5164859818
9.14	3.3233392946	6.5209492898
9.15	3.3275642547	6.5254078828
9.16	3.331787635	6.5298617706
9.17	3.3360094337	6.5343109632
9.18	3.3402296487	6.5387554703
9.19	3.3444482782	6.5431953017
9.2	3.3486653203	6.5476304672
9.21	3.352880773	6.5520609765
9.22	3.3570946346	6.5564868393
9.23	3.3613069032	6.5609080654
9.24	3.365517577	6.5653246644
9.25	3.3697266541	6.5697366459
9.26	3.3739341328	6.5741440197
9.27	3.3781400113	6.5785467953
9.28	3.3823442879	6.5829449823
9.29	3.3865469607	6.5873385903
9.3	3.3907480282	6.5917276288
9.31	3.3949474885	6.5961121073
9.32	3.3991453401	6.6004920353
9.33	3.4033415812	6.6048674223
9.34	3.4075362102	6.6092382778
9.35	3.4117292255	6.6136046112
9.36	3.4159206254	6.6179664319
9.37	3.4201104083	6.6223237493
9.38	3.4242985728	6.6266765727
9.39	3.4284851171	6.6310249115
9.4	3.4326700397	6.635368775
9.41	3.4368533392	6.6397081726
9.42	3.441035014	6.6440431134
9.43	3.4452150626	6.6483736068
9.44	3.4493934835	6.6526996619
9.45	3.4535702752	6.6570212881
9.46	3.4577454364	6.6613384944
9.47	3.4619189655	6.6656512901
9.48	3.4660908611	6.6699596843
9.49	3.4702611219	6.6742636861
9.5	3.4744297464	6.6785633047
9.51	3.4785967333	6.682858549
9.52	3.4827620812	6.6871494283
9.53	3.4869257888	6.6914359514
9.54	3.4910878548	6.6957181275
9.55	3.4952482778	6.6999959656
9.56	3.4994070565	6.7042694745
9.57	3.5035641897	6.7085386634
9.58	3.5077196761	6.712803541
9.59	3.5118735144	6.7170641163
9.6	3.5160257035	6.7213203983
9.61	3.520176242	6.7255723957
9.62	3.5243251288	6.7298201175
9.63	3.5284723627	6.7340635724
9.64	3.5326179425	6.7383027693
9.65	3.5367618671	6.742537717
9.66	3.5409041353	6.7467684242
9.67	3.5450447459	6.7509948997
9.68	3.5491836979	6.7552171522
9.69	3.5533209902	6.7594351904
9.7	3.5574566216	6.763649023
9.71	3.5615905911	6.7678586587
9.72	3.5657228976	6.772064106
9.73	3.56985354	6.7762653737
9.74	3.5739825174	6.7804624704
9.75	3.5781098287	6.7846554045
9.76	3.5822354729	6.7888441847
9.77	3.586359449	6.7930288196
9.78	3.5904817561	6.7972093176
9.79	3.5946023931	6.8013856873
9.8	3.5987213591	6.8055579371
9.81	3.6028386532	6.8097260755
9.82	3.6069542744	6.8138901109
9.83	3.6110682218	6.8180500518
9.84	3.6151804946	6.8222059065
9.85	3.6192910918	6.8263576835
9.86	3.6234000126	6.8305053912
9.87	3.627507256	6.8346490377
9.88	3.6316128214	6.8387886316
9.89	3.6357167077	6.842924181
9.9	3.6398189143	6.8470556943
9.91	3.6439194402	6.8511831798
9.92	3.6480182847	6.8553066456
9.93	3.652115447	6.8594261
9.94	3.6562109263	6.8635415512
9.95	3.6603047219	6.8676530074
9.96	3.6643968331	6.8717604768
9.97	3.668487259	6.8758639675
9.98	3.6725759989	6.8799634877
9.99	3.6766630522	6.8840590454
10.0	3.6807484182	6.8881506487
10.01	3.6848320961	6.8922383057
10.02	3.6889140853	6.8963220245
10.03	3.6929943851	6.9004018131
10.04	3.6970729949	6.9044776796
10.05	3.701149914	6.9085496318
10.06	3.7052251418	6.9126176778
10.07	3.7092986777	6.9166818255
10.08	3.713370521	6.920742083
10.09	3.7174406713	6.924798458
10.1	3.7215091278	6.9288509585
10.11	3.72557589	6.9328995924
10.12	3.7296409575	6.9369443676
10.13	3.7337043295	6.9409852918
10.14	3.7377660056	6.945022373
10.15	3.7418259853	6.9490556188
10.16	3.745884268	6.9530850372
10.17	3.7499408532	6.9571106359
10.18	3.7539957405	6.9611324226
10.19	3.7580489293	6.965150405
10.2	3.7621004192	6.969164591
10.21	3.7661502097	6.9731749881
10.22	3.7701983004	6.9771816041
10.23	3.7742446908	6.9811844466
10.24	3.7782893805	6.9851835232
10.25	3.7823323691	6.9891788417
10.26	3.7863736562	6.9931704095
10.27	3.7904132413	6.9971582343
10.28	3.7944511241	7.0011423237
10.29	3.7984873043	7.0051226851
10.3	3.8025217813	7.0090993262
10.31	3.806554555	7.0130722545
10.32	3.8105856249	7.0170414774
10.33	3.8146149907	7.0210070024
10.34	3.818642652	7.024968837
10.35	3.8226686086	7.0289269886
10.36	3.8266928602	7.0328814647
10.37	3.8307154064	7.0368322727
10.38	3.8347362469	7.0407794199
10.39	3.8387553816	7.0447229138
10.4	3.84277281	7.0486627617
10.41	3.846788532	7.0525989709
10.42	3.8508025473	7.0565315488
10.43	3.8548148557	7.0604605026
10.44	3.8588254569	7.0643858397
10.45	3.8628343508	7.0683075672
10.46	3.866841537	7.0722256926
10.47	3.8708470154	7.076140223
10.48	3.8748507858	7.0800511656
10.49	3.8788528481	7.0839585276
10.5	3.882853202	7.0878623162
10.51	3.8868518474	7.0917625386
10.52	3.8908487841	7.0956592019
10.53	3.8948440119	7.0995523132
10.54	3.8988375309	7.1034418798
10.55	3.9028293407	7.1073279086
10.56	3.9068194413	7.1112104067
10.57	3.9108078326	7.1150893813
10.58	3.9147945144	7.1189648393
10.59	3.9187794867	7.1228367879
10.6	3.9227627494	7.1267052339
10.61	3.9267443024	7.1305701845
10.62	3.9307241457	7.1344316465
10.63	3.9347022791	7.138289627
10.64	3.9386787027	7.1421441329
10.65	3.9426534163	7.1459951711
10.66	3.94662642	7.1498427486
10.67	3.9505977137	7.1536868722
10.68	3.9545672974	7.1575275488
10.69	3.9585351711	7.1613647853
10.7	3.9625013347	7.1651985886
10.71	3.9664657884	7.1690289655
10.72	3.970428532	7.1728559227
10.73	3.9743895657	7.1766794671
10.74	3.9783488894	7.1804996055
10.75	3.9823065032	7.1843163447
10.76	3.9862624071	7.1881296913
10.77	3.9902166012	7.1919396522
10.78	3.9941690856	7.195746234
10.79	3.9981198602	7.1995494435
10.8	4.0020689253	7.2033492873
10.81	4.0060162808	7.2071457722
10.82	4.0099619269	7.2109389047
10.83	4.0139058636	7.2147286915
10.84	4.0178480911	7.2185151393
10.85	4.0217886095	7.2222982546
10.86	4.0257274188	7.226078044
10.87	4.0296645193	7.2298545142
10.88	4.033599911	7.2336276716
10.89	4.0375335942	7.2373975229
10.9	4.0414655689	7.2411640745
10.91	4.0453958353	7.244927333
10.92	4.0493243935	7.2486873048
10.93	4.0532512438	7.2524439965
10.94	4.0571763864	7.2561974145
10.95	4.0610998213	7.2599475653
10.96	4.0650215488	7.2636944553
10.97	4.0689415691	7.2674380909
10.98	4.0728598824	7.2711784785
10.99	4.0767764889	7.2749156246
11.0	4.0806913889	7.2786495355
11.01	4.0846045825	7.2823802176
11.02	4.08851607	7.2861076771
11.03	4.0924258516	7.2898319205
11.04	4.0963339276	7.2935529541
11.05	4.1002402982	7.2972707841
11.06	4.1041449638	7.3009854169
11.07	4.1080479244	7.3046968587
11.08	4.1119491805	7.3084051158
11.09	4.1158487323	7.3121101943
11.1	4.1197465801	7.3158121007
11.11	4.1236427241	7.3195108409
11.12	4.1275371647	7.3232064213
11.13	4.1314299022	7.3268988481
11.14	4.1353209369	7.3305881273
11.15	4.1392102691	7.3342742652
11.16	4.1430978991	7.3379572679
11.17	4.1469838273	7.3416371415
11.18	4.150868054	7.3453138921
11.19	4.1547505795	7.3489875258
11.2	4.1586314041	7.3526580487
11.21	4.1625105283	7.3563254669
11.22	4.1663879524	7.3599897863
11.23	4.1702636768	7.3636510131
11.24	4.1741377017	7.3673091533
11.25	4.1780100277	7.3709642129
11.26	4.181880655	7.3746161978
11.27	4.1857495842	7.378265114
11.28	4.1896168154	7.3819109676
11.29	4.1934823493	7.3855537644
11.3	4.1973461861	7.3891935105
11.31	4.2012083262	7.3928302116
11.32	4.2050687702	7.3964638738
11.33	4.2089275184	7.4000945029
11.34	4.2127845712	7.4037221048
11.35	4.2166399291	7.4073466853
11.36	4.2204935925	7.4109682504
11.37	4.2243455618	7.4145868059
11.38	4.2281958376	7.4182023575
11.39	4.2320444201	7.4218149111
11.4	4.2358913101	7.4254244725
11.41	4.2397365077	7.4290310475
11.42	4.2435800137	7.4326346418
11.43	4.2474218283	7.4362352612
11.44	4.2512619522	7.4398329115
11.45	4.2551003857	7.4434275983
11.46	4.2589371294	7.4470193274
11.47	4.2627721838	7.4506081045
11.48	4.2666055494	7.4541939352
11.49	4.2704372266	7.4577768253
11.5	4.274267216	7.4613567804
11.51	4.2780955181	7.4649338062
11.52	4.2819221335	7.4685079082
11.53	4.2857470626	7.4720790921
11.54	4.2895703059	7.4756473636
11.55	4.2933918641	7.4792127281
11.56	4.2972117376	7.4827751914
11.57	4.301029927	7.4863347588
11.58	4.3048464329	7.4898914361
11.59	4.3086612557	7.4934452288
11.6	4.3124743961	7.4969961423
11.61	4.3162858546	7.5005441822
11.62	4.3200956318	7.504089354
11.63	4.3239037283	7.5076316631
11.64	4.3277101445	7.5111711151
11.65	4.3315148812	7.5147077155
11.66	4.3353179389	7.5182414696
11.67	4.3391193182	7.5217723828
11.68	4.3429190196	7.5253004608
11.69	4.3467170438	7.5288257087
11.7	4.3505133914	7.5323481321
11.71	4.354308063	7.5358677363
11.72	4.3581010592	7.5393845267
11.73	4.3618923806	7.5428985086
11.74	4.3656820278	7.5464096874
11.75	4.3694700015	7.5499180684
11.76	4.3732563023	7.553423657
11.77	4.3770409307	7.5569264585
11.78	4.3808238876	7.5604264781
11.79	4.3846051734	7.5639237211
11.8	4.3883847889	7.5674181929
11.81	4.3921627346	7.5709098986
11.82	4.3959390113	7.5743988435
11.83	4.3997136196	7.5778850329
11.84	4.4034865602	7.581368472
11.85	4.4072578336	7.5848491659
11.86	4.4110274407	7.5883271199
11.87	4.414795382	7.5918023391
11.88	4.4185616582	7.5952748288
11.89	4.4223262701	7.5987445941
11.9	4.4260892183	7.6022116401
11.91	4.4298505034	7.605675972
11.92	4.4336101262	7.6091375948
11.93	4.4373680874	7.6125965138
11.94	4.4411243877	7.616052734
11.95	4.4448790278	7.6195062605
11.96	4.4486320083	7.6229570983
11.97	4.45238333	7.6264052526
11.98	4.4561329936	7.6298507284
11.99	4.4598809998	7.6332935306
12.0	4.4636273494	7.6367336645
12.01	4.467372043	7.6401711348
12.02	4.4711150814	7.6436059468
12.03	4.4748564653	7.6470381053
12.04	4.4785961955	7.6504676154
12.05	4.4823342727	7.6538944819
12.06	4.4860706976	7.6573187099
12.07	4.4898054709	7.6607403044
12.08	4.4935385935	7.6641592701
12.09	4.4972700661	7.6675756121
12.1	4.5009998894	7.6709893353
12.11	4.5047280641	7.6744004446
12.12	4.5084545911	7.6778089448
12.13	4.5121794711	7.6812148409
12.14	4.5159027049	7.6846181376
12.15	4.5196242932	7.6880188399
12.16	4.5233442369	7.6914169526
12.17	4.5270625366	7.6948124805
12.18	4.5307791932	7.6982054284
12.19	4.5344942074	7.7015958011
12.2	4.5382075801	7.7049836035
12.21	4.541919312	7.7083688403
12.22	4.545629404	7.7117515163
12.23	4.5493378567	7.7151316363
12.24	4.553044671	7.718509205
12.25	4.5567498478	7.7218842271
12.26	4.5604533878	7.7252567073
12.27	4.5641552917	7.7286266505
12.28	4.5678555605	7.7319940612
12.29	4.571554195	7.7353589443
12.3	4.5752511959	7.7387213043
12.31	4.5789465641	7.7420811459
12.32	4.5826403003	7.7454384739
12.33	4.5863324055	7.7487932928
12.34	4.5900228804	7.7521456073
12.35	4.5937117259	7.755495422
12.36	4.5973989428	7.7588427415
12.37	4.6010845319	7.7621875705
12.38	4.604768494	7.7655299136
12.39	4.6084508301	7.7688697753
12.4	4.612131541	7.7722071601
12.41	4.6158106274	7.7755420728
12.42	4.6194880902	7.7788745177
12.43	4.6231639304	7.7822044995
12.44	4.6268381487	7.7855320228
12.45	4.630510746	7.7888570919
12.46	4.6341817231	7.7921797114
12.47	4.637851081	7.7954998859
12.48	4.6415188204	7.7988176198
12.49	4.6451849422	7.8021329176
12.5	4.6488494474	7.8054457837
12.51	4.6525123367	7.8087562227
12.52	4.6561736111	7.8120642389
12.53	4.6598332714	7.8153698368
12.54	4.6634913185	7.8186730209
12.55	4.6671477533	7.8219737955
12.56	4.6708025766	7.825272165
12.57	4.6744557894	7.8285681339
12.58	4.6781073924	7.8318617066
12.59	4.6817573867	7.8351528873
12.6	4.6854057731	7.8384416805
12.61	4.6890525525	7.8417280906
12.62	4.6926977258	7.8450121218
12.63	4.6963412938	7.8482937785
12.64	4.6999832575	7.851573065
12.65	4.7036236178	7.8548499857
12.66	4.7072623756	7.8581245448
12.67	4.7108995318	7.8613967467
12.68	4.7145350873	7.8646665956
12.69	4.7181690429	7.8679340958
12.7	4.7218013997	7.8711992515
12.71	4.7254321585	7.8744620671
12.72	4.7290613203	7.8777225467
12.73	4.7326888859	7.8809806947
12.74	4.7363148563	7.8842365151
12.75	4.7399392324	7.8874900123
12.76	4.7435620151	7.8907411904
12.77	4.7471832054	7.8939900536
12.78	4.7508028041	7.8972366062
12.79	4.7544208122	7.9004808522
12.8	4.7580372307	7.9037227959
12.81	4.7616520605	7.9069624414
12.82	4.7652653024	7.9101997929
12.83	4.7688769575	7.9134348544
12.84	4.7724870266	7.9166676302
12.85	4.7760955108	7.9198981243
12.86	4.7797024109	7.9231263409
12.87	4.7833077279	7.926352284
12.88	4.7869114627	7.9295759578
12.89	4.7905136164	7.9327973662
12.9	4.7941141898	7.9360165134
12.91	4.7977131838	7.9392334035
12.92	4.8013105995	7.9424480404
12.93	4.8049064378	7.9456604283
12.94	4.8085006997	7.9488705712
12.95	4.812093386	7.952078473
12.96	4.8156844978	7.9552841378
12.97	4.8192740361	7.9584875697
12.98	4.8228620017	7.9616887725
12.99	4.8264483956	7.9648877503
13.0	4.8300332189	7.9680845071
13.01	4.8336164725	7.9712790468
13.02	4.8371981573	7.9744713733
13.03	4.8407782743	7.9776614907
13.04	4.8443568245	7.9808494029
13.05	4.8479338088	7.9840351138
13.06	4.8515092283	7.9872186272
13.07	4.8550830839	7.9903999472
13.08	4.8586553765	7.9935790777
13.09	4.8622261073	7.9967560225
13.1	4.865795277	7.9999307854
13.11	4.8693628868	8.0031033705
13.12	4.8729289376	8.0062737815
13.13	4.8764934304	8.0094420224
13.14	4.8800563661	8.0126080969
13.15	4.8836177458	8.0157720089
13.16	4.8871775705	8.0189337622
13.17	4.8907358411	8.0220933607
13.18	4.8942925586	8.0252508081
13.19	4.897847724	8.0284061083
13.2	4.9014013383	8.0315592651
13.21	4.9049534025	8.0347102822
13.22	4.9085039177	8.0378591635
13.23	4.9120528847	8.0410059127
13.24	4.9156003046	8.0441505335
13.25	4.9191461784	8.0472930297
13.26	4.9226905071	8.0504334051
13.27	4.9262332916	8.0535716634
13.28	4.9297745331	8.0567078083
13.29	4.9333142325	8.0598418436
13.3	4.9368523908	8.0629737729
13.31	4.9403890089	8.0661035999
13.32	4.943924088	8.0692313284
13.33	4.9474576291	8.072356962
13.34	4.950989633	8.0754805044
13.35	4.9545201009	8.0786019593
13.36	4.9580490338	8.0817213302
13.37	4.9615764326	8.084838621
13.38	4.9651022984	8.0879538352
13.39	4.9686266322	8.0910669764
13.4	4.972149435	8.0941780482
13.41	4.9756707078	8.0972870544
13.42	4.9791904517	8.1003939985
13.43	4.9827086676	8.103498884
13.44	4.9862253566	8.1066017147
13.45	4.9897405197	8.109702494
13.46	4.993254158	8.1128012255
13.47	4.9967662723	8.1158979129
13.48	5.0002768639	8.1189925596
13.49	5.0037859337	8.1220851692
13.5	5.0072934826	8.1251757453
13.51	5.0107995118	8.1282642915
13.52	5.0143040223	8.1313508111
13.53	5.0178070151	8.1344353077
13.54	5.0213084912	8.1375177849
13.55	5.0248084517	8.1405982462
13.56	5.0283068976	8.143676695
13.57	5.0318038298	8.1467531349
13.58	5.0352992496	8.1498275692
13.59	5.0387931578	8.1529000015
13.6	5.0422855555	8.1559704353
13.61	5.0457764438	8.159038874
13.62	5.0492658237	8.162105321
13.63	5.0527536962	8.1651697797
13.64	5.0562400623	8.1682322537
13.65	5.0597249232	8.1712927463
13.66	5.0632082797	8.174351261
13.67	5.0666901331	8.1774078011
13.68	5.0701704843	8.1804623701
13.69	5.0736493343	8.1835149713
13.7	5.0771266842	8.1865656082
13.71	5.080602535	8.189614284
13.72	5.0840768879	8.1926610023
13.73	5.0875497437	8.1957057662
13.74	5.0910211036	8.1987485793
13.75	5.0944909686	8.2017894447
13.76	5.0979593398	8.204828366
13.77	5.1014262182	8.2078653463
13.78	5.1048916048	8.2109003891
13.79	5.1083555007	8.2139334976
13.8	5.111817907	8.2169646751
13.81	5.1152788246	8.219993925
13.82	5.1187382547	8.2230212506
13.83	5.1221961982	8.226046655
13.84	5.1256526563	8.2290701417
13.85	5.12910763	8.2320917138
13.86	5.1325611203	8.2351113747
13.87	5.1360131282	8.2381291275
13.88	5.139463655	8.2411449756
13.89	5.1429127015	8.2441589221
13.9	5.1463602688	8.2471709704
13.91	5.1498063581	8.2501811236
13.92	5.1532509703	8.253189385
13.93	5.1566941065	8.2561957577
13.94	5.1601357677	8.259200245
13.95	5.1635759551	8.26220285
13.96	5.1670146696	8.265203576
13.97	5.1704519124	8.2682024262
13.98	5.1738876844	8.2711994036
13.99	5.1773219868	8.2741945115
14.0	5.1807548206	8.2771877531
14.01	5.1841861868	8.2801791315
14.02	5.1876160865	8.2831686498
14.03	5.1910445208	8.2861563112
14.04	5.1944714907	8.2891421188
14.05	5.1978969973	8.2921260757
14.06	5.2013210417	8.2951081851
14.07	5.2047436248	8.2980884501
14.08	5.2081647479	8.3010668737
14.09	5.2115844118	8.3040434591
14.1	5.2150026177	8.3070182094
14.11	5.2184193667	8.3099911276
14.12	5.2218346598	8.3129622168
14.13	5.225248498	8.3159314801
14.14	5.2286608825	8.3188989205
14.15	5.2320718143	8.3218645412
14.16	5.2354812944	8.3248283451
14.17	5.238889324	8.3277903353
14.18	5.242295904	8.3307505148
14.19	5.2457010356	8.3337088867
14.2	5.2491047198	8.3366654539
14.21	5.2525069577	8.3396202196
14.22	5.2559077503	8.3425731866
14.23	5.2593070987	8.3455243581
14.24	5.2627050039	8.3484737369
14.25	5.2661014672	8.3514213261
14.26	5.2694964893	8.3543671287
14.27	5.2728900716	8.3573111477
14.28	5.276282215	8.3602533859
14.29	5.2796729206	8.3631938464
14.3	5.2830621894	8.3661325321
14.31	5.2864500226	8.369069446
14.32	5.2898364211	8.372004591
14.33	5.2932213861	8.37493797
14.34	5.2966049186	8.377869586
14.35	5.2999870198	8.3807994419
14.36	5.3033676905	8.3837275406
14.37	5.306746932	8.386653885
14.38	5.3101247453	8.389578478
14.39	5.3135011314	8.3925013225
14.4	5.3168760915	8.3954224215
14.41	5.3202496265	8.3983417777
14.42	5.3236217376	8.4012593941
14.43	5.3269924259	8.4041752734
14.44	5.3303616923	8.4070894187
14.45	5.333729538	8.4100018328
14.46	5.337095964	8.4129125184
14.47	5.3404609714	8.4158214784
14.48	5.3438245613	8.4187287158
14.49	5.3471867346	8.4216342332
14.5	5.3505474926	8.4245380336
14.51	5.3539068363	8.4274401197
14.52	5.3572647667	8.4303404944
14.53	5.3606212849	8.4332391605
14.54	5.3639763919	8.4361361207
14.55	5.3673300889	8.4390313779
14.56	5.3706823769	8.4419249349
14.57	5.374033257	8.4448167943
14.58	5.3773827302	8.4477069591
14.59	5.3807307976	8.450595432
14.6	5.3840774603	8.4534822157
14.61	5.3874227194	8.456367313
14.62	5.3907665758	8.4592507266
14.63	5.3941090308	8.4621324593
14.64	5.3974500852	8.4650125139
14.65	5.4007897403	8.467890893
14.66	5.4041279971	8.4707675994
14.67	5.4074648566	8.4736426358
14.68	5.41080032	8.4765160049
14.69	5.4141343882	8.4793877095
14.7	5.4174670624	8.4822577522
14.71	5.4207983436	8.4851261357
14.72	5.4241282328	8.4879928627
14.73	5.4274567313	8.4908579359
14.74	5.4307838399	8.493721358
14.75	5.4341095599	8.4965831317
14.76	5.4374338922	8.4994432596
14.77	5.4407568379	8.5023017443
14.78	5.4440783981	8.5051585886
14.79	5.4473985738	8.5080137951
14.8	5.4507173662	8.5108673663
14.81	5.4540347762	8.5137193051
14.82	5.457350805	8.5165696139
14.83	5.4606654536	8.5194182955
14.84	5.4639787231	8.5222653524
14.85	5.4672906146	8.5251107873
14.86	5.4706011291	8.5279546027
14.87	5.4739102676	8.5307968013
14.88	5.4772180313	8.5336373856
14.89	5.4805244211	8.5364763583
14.9	5.4838294383	8.5393137219
14.91	5.4871330838	8.542149479
14.92	5.4904353587	8.5449836323
14.93	5.493736264	8.5478161842
14.94	5.4970358009	8.5506471373
14.95	5.5003339704	8.5534764942
14.96	5.5036307735	8.5563042574
14.97	5.5069262114	8.5591304295
14.98	5.510220285	8.561955013
14.99	5.5135129955	8.5647780104
15.0	5.5168043438	8.5675994244
15.01	5.5200943312	8.5704192573
15.02	5.5233829586	8.5732375118
15.03	5.526670227	8.5760541903
15.04	5.5299561376	8.5788692953
15.05	5.5332406915	8.5816828294
15.06	5.5365238896	8.584494795
15.07	5.539805733	8.5873051946
15.08	5.5430862228	8.5901140308
15.09	5.5463653601	8.5929213059
15.1	5.5496431459	8.5957270226
15.11	5.5529195813	8.5985311831
15.12	5.5561946673	8.6013337901
15.13	5.5594684051	8.6041348459
15.14	5.5627407955	8.6069343531
15.15	5.5660118398	8.609732314
15.16	5.5692815389	8.612528731
15.17	5.572549894	8.6153236068
15.18	5.5758169061	8.6181169436
15.19	5.5790825762	8.6209087439
15.2	5.5823469053	8.6236990101
15.21	5.5856098947	8.6264877447
15.22	5.5888715452	8.62927495
15.23	5.5921318581	8.6320606284
15.24	5.5953908342	8.6348447824
15.25	5.5986484747	8.6376274144
15.26	5.6019047807	8.6404085267
15.27	5.6051597531	8.6431881217
15.28	5.6084133931	8.6459662018
15.29	5.6116657017	8.6487427693
15.3	5.6149166799	8.6515178268
15.31	5.6181663288	8.6542913764
15.32	5.6214146495	8.6570634206
15.33	5.624661643	8.6598339617
15.34	5.6279073103	8.662603002
15.35	5.6311516526	8.665370544
15.36	5.6343946708	8.6681365899
15.37	5.637636366	8.6709011421
15.38	5.6408767393	8.6736642029
15.39	5.6441157917	8.6764257747
15.4	5.6473535242	8.6791858596
15.41	5.650589938	8.6819444602
15.42	5.653825034	8.6847015786
15.43	5.6570588133	8.6874572172
15.44	5.660291277	8.6902113783
15.45	5.6635224261	8.6929640641
15.46	5.6667522616	8.695715277
15.47	5.6699807846	8.6984650193
15.48	5.6732079962	8.7012132931
15.49	5.6764338974	8.7039601008
15.5	5.6796584892	8.7067054447
15.51	5.6828817726	8.7094493271
15.52	5.6861037488	8.7121917501
15.53	5.6893244188	8.714932716
15.54	5.6925437836	8.7176722271
15.55	5.6957618442	8.7204102857
15.56	5.6989786017	8.7231468939
15.57	5.7021940572	8.725882054
15.58	5.7054082116	8.7286157683
15.59	5.7086210661	8.7313480389
15.6	5.7118326216	8.7340788681
15.61	5.7150428793	8.736808258
15.62	5.7182518401	8.739536211
15.63	5.721459505	8.7422627292
15.64	5.7246658752	8.7449878149
15.65	5.7278709517	8.7477114701
15.66	5.7310747354	8.7504336971
15.67	5.7342772275	8.7531544981
15.68	5.737478429	8.7558738753
15.69	5.7406783408	8.7585918308
15.7	5.7438769641	8.7613083669
15.71	5.7470742999	8.7640234856
15.72	5.7502703493	8.7667371893
15.73	5.7534651131	8.7694494799
15.74	5.7566585926	8.7721603597
15.75	5.7598507887	8.7748698308
15.76	5.7630417024	8.7775778953
15.77	5.7662313348	8.7802845555
15.78	5.7694196869	8.7829898135
15.79	5.7726067598	8.7856936713
15.8	5.7757925545	8.7883961311
15.81	5.778977072	8.791097195
15.82	5.7821603133	8.7937968652
15.83	5.7853422795	8.7964951437
15.84	5.7885229715	8.7991920327
15.85	5.7917023906	8.8018875342
15.86	5.7948805375	8.8045816505
15.87	5.7980574135	8.8072743835
15.88	5.8012330194	8.8099657353
15.89	5.8044073564	8.8126557082
15.9	5.8075804255	8.815344304
15.91	5.8107522276	8.8180315249
15.92	5.8139227639	8.8207173731
15.93	5.8170920353	8.8234018504
15.94	5.8202600428	8.8260849591
15.95	5.8234267876	8.8287667012
15.96	5.8265922705	8.8314470787
15.97	5.8297564926	8.8341260937
15.98	5.8329194551	8.8368037482
15.99	5.8360811587	8.8394800443
16.0	5.8392416047	8.842154984
16.01	5.842400794	8.8448285694
16.02	5.8455587276	8.8475008024
16.03	5.8487154065	8.8501716851
16.04	5.8518708318	8.8528412196
16.05	5.8550250045	8.8555094078
16.06	5.8581779256	8.8581762518
16.07	5.8613295961	8.8608417535
16.08	5.864480017	8.863505915
16.09	5.8676291893	8.8661687383
16.1	5.8707771142	8.8688302253
16.11	5.8739237924	8.8714903781
16.12	5.8770692252	8.8741491987
16.13	5.8802134135	8.8768066889
16.14	5.8833563583	8.8794628509
16.15	5.8864980606	8.8821176866
16.16	5.8896385214	8.8847711979
16.17	5.8927777417	8.8874233869
16.18	5.8959157227	8.8900742555
16.19	5.8990524651	8.8927238055
16.2	5.9021879702	8.8953720391
16.21	5.9053222388	8.8980189582
16.22	5.908455272	8.9006645646
16.23	5.9115870707	8.9033088604
16.24	5.9147176361	8.9059518475
16.25	5.9178469691	8.9085935278
16.26	5.9209750707	8.9112339032
16.27	5.9241019418	8.9138729757
16.28	5.9272275836	8.9165107472
16.29	5.930351997	8.9191472196
16.3	5.933475183	8.9217823948
16.31	5.9365971427	8.9244162748
16.32	5.9397178769	8.9270488614
16.33	5.9428373868	8.9296801565
16.34	5.9459556732	8.9323101621
16.35	5.9490727373	8.93493888
16.36	5.95218858	8.9375663122
16.37	5.9553032023	8.9401924604
16.38	5.9584166053	8.9428173267
16.39	5.9615287898	8.9454409128
16.4	5.9646397569	8.9480632207
16.41	5.9677495076	8.9506842522
16.42	5.9708580429	8.9533040092
16.43	5.9739653638	8.9559224936
16.44	5.9770714713	8.9585397071
16.45	5.9801763663	8.9611556517
16.46	5.9832800499	8.9637703292
16.47	5.986382523	8.9663837415
16.48	5.9894837867	8.9689958904
16.49	5.9925838419	8.9716067778
16.5	5.9956826896	8.9742164054
16.51	5.9987803308	8.9768247751
16.52	6.0018767665	8.9794318888
16.53	6.0049719977	8.9820377483
16.54	6.0080660254	8.9846423553
16.55	6.0111588505	8.9872457117
16.56	6.014250474	8.9898478194
16.57	6.017340897	8.9924486801
16.58	6.0204301204	8.9950482956
16.59	6.0235181451	8.9976466678
16.6	6.0266049723	9.0002437984
16.61	6.0296906028	9.0028396892
16.62	6.0327750376	9.0054343421
16.63	6.0358582777	9.0080277587
16.64	6.0389403241	9.010619941
16.65	6.0420211778	9.0132108906
16.66	6.0451008398	9.0158006094
16.67	6.048179311	9.0183890991
16.68	6.0512565923	9.0209763615
16.69	6.0543326849	9.0235623983
16.7	6.0574075896	9.0261472114
16.71	6.0604813074	9.0287308024
16.72	6.0635538394	9.0313131731
16.73	6.0666251864	9.0338943254
16.74	6.0696953495	9.0364742608
16.75	6.0727643295	9.0390529813
16.76	6.0758321276	9.0416304884
16.77	6.0788987447	9.044206784
16.78	6.0819641816	9.0467818698
16.79	6.0850284395	9.0493557475
16.8	6.0880915193	9.0519284188
16.81	6.0911534218	9.0544998855
16.82	6.0942141482	9.0570701492
16.83	6.0972736994	9.0596392118
16.84	6.1003320763	9.0622070748
16.85	6.1033892799	9.0647737401
16.86	6.1064453111	9.0673392093
16.87	6.109500171	9.0699034841
16.88	6.1125538605	9.0724665662
16.89	6.1156063805	9.0750284573
16.9	6.1186577321	9.0775891592
16.91	6.1217079161	9.0801486734
16.92	6.1247569335	9.0827070017
16.93	6.1278047854	9.0852641457
16.94	6.1308514725	9.0878201072
16.95	6.1338969961	9.0903748878
16.96	6.1369413568	9.0929284891
16.97	6.1399845558	9.0954809129
16.98	6.143026594	9.0980321608
16.99	6.1460674723	9.1005822345
17.0	6.1491071917	9.1031311355
17.01	6.1521457531	9.1056788657
17.02	6.1551831575	9.1082254266
17.03	6.1582194059	9.1107708198
17.04	6.1612544991	9.1133150471
17.05	6.1642884382	9.11585811
17.06	6.1673212241	9.1184000102
17.07	6.1703528577	9.1209407494
17.08	6.1733833401	9.1234803291
17.09	6.176412672	9.1260187509
17.1	6.1794408546	9.1285560166
17.11	6.1824678887	9.1310921277
17.12	6.1854937752	9.1336270859
17.13	6.1885185152	9.1361608927
17.14	6.1915421096	9.1386935497
17.15	6.1945645592	9.1412250587
17.16	6.1975858651	9.1437554211
17.17	6.2006060282	9.1462846386
17.18	6.2036250495	9.1488127128
17.19	6.2066429298	9.1513396452
17.2	6.2096596701	9.1538654375
17.21	6.2126752713	9.1563900912
17.22	6.2156897345	9.158913608
17.23	6.2187030605	9.1614359894
17.24	6.2217152502	9.163957237
17.25	6.2247263046	9.1664773523
17.26	6.2277362247	9.168996337
17.27	6.2307450113	9.1715141926
17.28	6.2337526655	9.1740309207
17.29	6.236759188	9.1765465228
17.3	6.23976458	9.1790610005
17.31	6.2427688422	9.1815743553
17.32	6.2457719756	9.1840865888
17.33	6.2487739812	9.1865977026
17.34	6.2517748599	9.1891076982
17.35	6.2547746126	9.1916165772
17.36	6.2577732402	9.194124341
17.37	6.2607707437	9.1966309912
17.38	6.263767124	9.1991365294
17.39	6.266762382	9.2016409571
17.4	6.2697565187	9.2041442758
17.41	6.2727495349	9.206646487
17.42	6.2757414316	9.2091475923
17.43	6.2787322097	9.2116475932
17.44	6.2817218701	9.2141464912
17.45	6.2847104138	9.2166442878
17.46	6.2876978416	9.2191409845
17.47	6.2906841546	9.2216365828
17.48	6.2936693535	9.2241310843
17.49	6.2966534394	9.2266244904
17.5	6.2996364131	9.2291168026
17.51	6.3026182756	9.2316080224
17.52	6.3055990277	9.2340981514
17.53	6.3085786704	9.236587191
17.54	6.3115572047	9.2390751426
17.55	6.3145346313	9.2415620079
17.56	6.3175109513	9.2440477881
17.57	6.3204861654	9.246532485
17.58	6.3234602748	9.2490160998
17.59	6.3264332802	9.2514986341
17.6	6.3294051826	9.2539800893
17.61	6.3323759828	9.256460467
17.62	6.3353456818	9.2589397685
17.63	6.3383142805	9.2614179954
17.64	6.3412817798	9.2638951491
17.65	6.3442481806	9.266371231
17.66	6.3472134838	9.2688462426
17.67	6.3501776904	9.2713201853
17.68	6.3531408011	9.2737930606
17.69	6.3561028169	9.27626487
17.7	6.3590637388	9.2787356149
17.71	6.3620235675	9.2812052966
17.72	6.3649823041	9.2836739167
17.73	6.3679399494	9.2861414765
17.74	6.3708965043	9.2886079776
17.75	6.3738519697	9.2910734213
17.76	6.3768063465	9.293537809
17.77	6.3797596356	9.2960011422
17.78	6.3827118379	9.2984634223
17.79	6.3856629544	9.3009246507
17.8	6.3886129857	9.3033848288
17.81	6.391561933	9.305843958
17.82	6.394509797	9.3083020398
17.83	6.3974565787	9.3107590755
17.84	6.400402279	9.3132150665
17.85	6.4033468987	9.3156700142
17.86	6.4062904387	9.3181239201
17.87	6.4092328999	9.3205767855
17.88	6.4121742833	9.3230286117
17.89	6.4151145896	9.3254794003
17.9	6.4180538198	9.3279291526
17.91	6.4209919748	9.3303778699
17.92	6.4239290554	9.3328255536
17.93	6.4268650626	9.3352722052
17.94	6.4297999972	9.3377178259
17.95	6.43273386	9.3401624172
17.96	6.4356666521	9.3426059804
17.97	6.4385983742	9.3450485169
17.98	6.4415290272	9.3474900281
17.99	6.4444586121	9.3499305152
18.0	6.4473871297	9.3523699797
18.01	6.4503145808	9.354808423
18.02	6.4532409664	9.3572458463
18.03	6.4561662873	9.359682251
18.04	6.4590905444	9.3621176386
18.05	6.4620137385	9.3645520102
18.06	6.4649358707	9.3669853673
18.07	6.4678569416	9.3694177111
18.08	6.4707769522	9.3718490431
18.09	6.4736959034	9.3742793646
18.1	6.4766137961	9.3767086769
18.11	6.479530631	9.3791369813
18.12	6.4824464091	9.3815642791
18.13	6.4853611312	9.3839905717
18.14	6.4882747983	9.3864158604
18.15	6.4911874111	9.3888401465
18.16	6.4940989706	9.3912634313
18.17	6.4970094776	9.3936857162
18.18	6.4999189329	9.3961070024
18.19	6.5028273375	9.3985272913
18.2	6.5057346921	9.4009465841
18.21	6.5086409977	9.4033648822
18.22	6.5115462552	9.4057821869
18.23	6.5144504653	9.4081984994
18.24	6.5173536289	9.4106138211
18.25	6.520255747	9.4130281533
18.26	6.5231568203	9.4154414971
18.27	6.5260568497	9.4178538541
18.28	6.5289558361	9.4202652253
18.29	6.5318537803	9.4226756121
18.3	6.5347506832	9.4250850158
18.31	6.5376465456	9.4274934377
18.32	6.5405413684	9.429900879
18.33	6.5434351524	9.432307341
18.34	6.5463278985	9.4347128249
18.35	6.5492196076	9.4371173322
18.36	6.5521102804	9.4395208639
18.37	6.5549999179	9.4419234214
18.38	6.5578885209	9.4443250059
18.39	6.5607760902	9.4467256187
18.4	6.5636626267	9.4491252611
18.41	6.5665481312	9.4515239343
18.42	6.5694326046	9.4539216395
18.43	6.5723160478	9.456318378
18.44	6.5751984614	9.4587141511
18.45	6.5780798465	9.4611089599
18.46	6.5809602039	9.4635028058
18.47	6.5838395343	9.46589569
18.48	6.5867178386	9.4682876137
18.49	6.5895951178	9.4706785781
18.5	6.5924713725	9.4730685845
18.51	6.5953466037	9.4754576341
18.52	6.5982208122	9.4778457281
18.53	6.6010939988	9.4802328678
18.54	6.6039661643	9.4826190543
18.55	6.6068373097	9.485004289
18.56	6.6097074356	9.487388573
18.57	6.6125765431	9.4897719075
18.58	6.6154446328	9.4921542938
18.59	6.6183117057	9.494535733
18.6	6.6211777625	9.4969162264
18.61	6.6240428041	9.4992957752
18.62	6.6269068314	9.5016743805
18.63	6.6297698451	9.5040520436
18.64	6.632631846	9.5064287657
18.65	6.6354928351	9.508804548
18.66	6.6383528131	9.5111793917
18.67	6.6412117809	9.5135532979
18.68	6.6440697392	9.5159262679
18.69	6.6469266889	9.5182983028
18.7	6.6497826309	9.5206694038
18.71	6.652637566	9.5230395722
18.72	6.6554914949	9.5254088091
18.73	6.6583444185	9.5277771156
18.74	6.6611963376	9.530144493
18.75	6.6640472531	9.5325109424
18.76	6.6668971657	9.534876465
18.77	6.6697460763	9.537241062
18.78	6.6725939857	9.5396047345
18.79	6.6754408948	9.5419674838
18.8	6.6782868042	9.5443293109
18.81	6.6811317149	9.546690217
18.82	6.6839756276	9.5490502033
18.83	6.6868185432	9.551409271
18.84	6.6896604625	9.5537674211
18.85	6.6925013863	9.556124655
18.86	6.6953413154	9.5584809736
18.87	6.6981802506	9.5608363782
18.88	6.7010181927	9.5631908698
18.89	6.7038551426	9.5655444498
18.9	6.706691101	9.5678971191
18.91	6.7095260688	9.5702488789
18.92	6.7123600467	9.5725997304
18.93	6.7151930356	9.5749496747
18.94	6.7180250362	9.577298713
18.95	6.7208560495	9.5796468463
18.96	6.7236860761	9.5819940757
18.97	6.7265151169	9.5843404026
18.98	6.7293431726	9.5866858278
18.99	6.7321702442	9.5890303526
19.0	6.7349963323	9.5913739782
19.01	6.7378214378	9.5937167055
19.02	6.7406455616	9.5960585358
19.03	6.7434687042	9.59839947
19.04	6.7462908667	9.6007395095
19.05	6.7491120498	9.6030786552
19.06	6.7519322542	9.6054169083
19.07	6.7547514808	9.6077542699
19.08	6.7575697303	9.610090741
19.09	6.7603870036	9.6124263228
19.1	6.7632033015	9.6147610164
19.11	6.7660186246	9.6170948229
19.12	6.768832974	9.6194277434
19.13	6.7716463502	9.621759779
19.14	6.7744587542	9.6240909307
19.15	6.7772701866	9.6264211996
19.16	6.7800806484	9.6287505869
19.17	6.7828901402	9.6310790937
19.18	6.7856986629	9.6334067209
19.19	6.7885062173	9.6357334698
19.2	6.791312804	9.6380593413
19.21	6.794118424	9.6403843365
19.22	6.796923078	9.6427084566
19.23	6.7997267668	9.6450317026
19.24	6.8025294912	9.6473540756
19.25	6.8053312519	9.6496755766
19.26	6.8081320497	9.6519962067
19.27	6.8109318855	9.654315967
19.28	6.81373076	9.6566348585
19.29	6.8165286739	9.6589528824
19.3	6.819325628	9.6612700396
19.31	6.8221216232	9.6635863312
19.32	6.8249166602	9.6659017583
19.33	6.8277107398	9.6682163219
19.34	6.8305038627	9.6705300232
19.35	6.8332960297	9.672842863
19.36	6.8360872417	9.6751548425
19.37	6.8388774993	9.6774659628
19.38	6.8416668033	9.6797762248
19.39	6.8444551546	9.6820856297
19.4	6.8472425538	9.6843941784
19.41	6.8500290018	9.686701872
19.42	6.8528144994	9.6890087115
19.43	6.8555990472	9.691314698
19.44	6.858382646	9.6936198325
19.45	6.8611652967	9.695924116
19.46	6.863947	9.6982275496
19.47	6.8667277566	9.7005301343
19.48	6.8695075674	9.702831871
19.49	6.872286433	9.705132761
19.5	6.8750643543	9.707432805
19.51	6.877841332	9.7097320043
19.52	6.8806173668	9.7120303597
19.53	6.8833924596	9.7143278724
19.54	6.886166611	9.7166245433
19.55	6.8889398219	9.7189203734
19.56	6.891712093	9.7212153638
19.57	6.8944834251	9.7235095154
19.58	6.8972538189	9.7258028293
19.59	6.9000232751	9.7280953065
19.6	6.9027917946	9.7303869479
19.61	6.9055593781	9.7326777546
19.62	6.9083260263	9.7349677276
19.63	6.91109174	9.7372568679
19.64	6.91385652	9.7395451764
19.65	6.9166203669	9.7418326542
19.66	6.9193832816	9.7441193022
19.67	6.9221452647	9.7464051215
19.68	6.9249063172	9.748690113
19.69	6.9276664396	9.7509742778
19.7	6.9304256327	9.7532576167
19.71	6.9331838974	9.7555401308
19.72	6.9359412342	9.7578218211
19.73	6.9386976441	9.7601026886
19.74	6.9414531277	9.7623827342
19.75	6.9442076857	9.7646619589
19.76	6.9469613189	9.7669403636
19.77	6.9497140282	9.7692179494
19.78	6.9524658141	9.7714947173
19.79	6.9552166774	9.7737706681
19.8	6.9579666189	9.7760458029
19.81	6.9607156393	9.7783201226
19.82	6.9634637394	9.7805936282
19.83	6.9662109199	9.7828663206
19.84	6.9689571815	9.7851382008
19.85	6.971702525	9.7874092699
19.86	6.9744469511	9.7896795286
19.87	6.9771904605	9.791948978
19.88	6.979933054	9.7942176191
19.89	6.9826747323	9.7964854528
19.9	6.9854154961	9.7987524799
19.91	6.9881553463	9.8010187016
19.92	6.9908942834	9.8032841187
19.93	6.9936323082	9.8055487322
19.94	6.9963694216	9.807812543
19.95	6.9991056241	9.8100755521
19.96	7.0018409165	9.8123377603
19.97	7.0045752996	9.8145991687
19.98	7.0073087741	9.8168597782
19.99	7.0100413407	9.8191195897
20.0	7.0127730001	9.8213786041

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Plot