L=0 --- ZEROS OF BESSEL FUNCTION --- 1.57080 4.71239 7.85398 10.99557 14.13717 17.27876 20.42035 23.56194 26.70354 29.84513 32.98672 36.12832 39.26991 42.41150 45.55309 48.69469 51.83628 54.97787 58.11946 61.26106 64.40265 67.54424 70.68583 73.82743 76.96902 80.11061 83.25221 86.39380 89.53539 92.67698 L=1 3.14159 6.28319 9.42478 12.56637 15.70796 18.84956 21.99115 25.13274 28.27433 31.41593 34.55752 37.69911 40.84070 43.98230 47.12389 50.26548 53.40708 56.54867 59.69026 62.83185 65.97345 69.11504 72.25663 75.39822 78.53982 81.68141 84.82300 87.96459 91.10619 94.24778 L=2 4.49340 7.72530 10.90410 14.06620 17.22070 20.37130 23.51950 26.66610 29.81160 32.95640 36.10060 39.24440 42.38790 45.53110 48.67410 51.81700 54.95970 58.10230 61.24470 64.38710 67.52940 70.67101 73.81390 76.95551 80.09810 83.23970 86.38220 89.52380 92.66541 95.80811 L=3 5.76350 9.09500 12.32290 15.51460 18.68900 21.85390 25.01280 28.16780 31.32010 34.47050 37.61940 40.76710 43.91400 47.06010 50.20570 53.35080 56.49560 59.64000 62.78410 65.92790 69.07159 72.21510 75.35789 78.50160 81.64430 84.78760 87.93010 91.07320 94.21590 97.35870 L=4 6.98790 10.41710 13.69800 16.92360 20.12180 23.30420 26.47680 29.64260 32.80370 35.96140 39.11650 42.26950 45.42100 48.57110 51.72020 54.86850 58.01600 61.16290 64.30930 67.45531 70.60080 73.74609 76.89101 80.03560 83.18010 86.32339 89.46831 92.61150 95.75591 98.89861 L=5 8.18260 11.70490 15.03950 18.30120 21.52540 24.72760 27.91560 31.09390 34.26540 37.43170 40.59420 43.75360 46.91060 50.06570 53.21910 56.37120 59.52220 62.67220 65.82150 68.97000 72.11790 75.26530 78.41229 81.55881 84.70490 87.85069 90.99561 94.14149 97.28600 100.43140 L=6 9.35580 12.96650 16.35460 19.65310 22.90450 26.12770 29.33260 32.52470 35.70760 38.88360 42.05440 45.22110 48.38440 51.54510 54.70350 57.86010 61.01510 64.16879 67.32130 70.47290 73.62360 76.77361 79.92290 83.07159 86.21980 89.36749 92.51480 95.66170 98.80830 101.95370 L=7 10.51280 14.20740 17.64790 20.98340 24.26270 27.50790 30.73040 33.93710 37.13230 40.31890 43.49880 46.67330 49.84370 53.01050 56.17450 59.33600 62.49560 65.65340 68.80969 71.96471 75.11850 78.27139 81.42340 84.57460 87.72510 90.87500 94.02440 97.17320 100.32159 103.46950 L=8 11.65700 15.43130 18.92290 22.29530 25.60280 28.87040 32.11120 35.33320 38.54140 41.73910 44.92860 48.11170 51.28950 54.46300 57.63300 60.80000 63.96450 67.12669 70.28709 73.44591 76.60320 79.75929 82.91431 86.06830 89.22141 92.37370 95.52530 98.67630 101.82671 104.97650 L=9 12.79080 16.64100 20.18240 23.59120 26.92700 30.21720 33.47680 36.71450 39.93610 43.14540 46.34510 49.53710 52.72290 55.90360 59.08000 62.25270 65.42250 68.58960 71.75439 74.91721 78.07829 81.23790 84.39610 87.55310 90.70900 93.86400 97.01810 100.17140 103.32401 106.47591 L=10 13.91580 17.83860 21.42840 24.87320 28.23710 31.55020 34.82870 38.08250 41.31790 44.53910 47.74930 50.95070 54.14480 57.33290 60.51600 63.69490 66.87019 70.04240 73.21201 76.37910 79.54430 82.70760 85.86920 89.02950 92.18840 95.34621 98.50301 101.65880 104.81371 107.96790 L=11 15.03350 19.02570 22.66260 26.14270 29.53460 32.87050 36.16810 39.43820 42.68760 45.92120 49.14220 52.35320 55.55590 58.75170 61.94190 65.12720 68.30840 71.48590 74.66040 77.83220 81.00150 84.16879 87.33411 90.49780 93.66000 96.82080 99.98039 103.13890 106.29630 109.45290 L=12 16.14470 20.20380 23.88650 27.40120 30.82080 34.17950 37.49630 40.78270 44.04640 47.29250 50.52450 53.74530 56.95690 60.16080 63.35820 66.55009 69.73740 72.92050 76.10020 79.27670 82.45050 85.62190 88.79111 91.95840 95.12390 98.28790 101.45050 104.61180 107.77200 110.93111 L=13 17.25050 21.37380 25.10100 28.64980 32.09670 35.47800 38.81400 42.11700 45.39500 48.65370 51.89700 55.12790 58.34850 61.56060 64.76550 67.96420 71.15770 74.34669 77.53169 80.71320 83.89160 87.06731 90.24049 93.41161 96.58070 99.74800 102.91370 106.07800 109.24100 112.40269 L=14 18.35130 22.53670 26.30710 29.88930 33.36320 36.76700 40.12210 43.44160 46.73410 50.00560 53.26030 56.50140 59.73120 62.95170 66.16420 69.37000 72.56990 75.76480 78.95531 82.14191 85.32510 88.50529 91.68269 94.85770 98.03050 101.20129 104.37030 107.53770 110.70351 113.86810 L=15 19.44770 23.69310 27.50570 31.12060 34.62110 38.04720 41.42140 44.75740 48.06440 51.34880 54.61490 57.86640 61.10560 64.33459 67.55490 70.76781 73.97440 77.17540 80.37151 83.56340 86.75150 89.93620 93.11800 96.29700 99.47360 102.64799 105.82040 108.99100 112.15990 115.32730 L=16 20.54020 24.84370 28.69740 32.34440 35.87110 39.31930 42.71240 46.06500 49.38650 52.68370 55.96150 59.22330 62.47200 65.70970 68.93790 72.15810 75.37140 78.57860 81.78050 84.97780 88.17101 91.36040 94.54660 97.72980 100.91029 104.08839 107.26430 110.43820 113.61031 116.78070 L=17 21.62920 25.98890 29.88280 33.56120 37.11390 40.58390 43.99580 47.36480 50.70080 54.01100 57.30040 60.57280 63.83100 67.07739 70.31360 73.54120 76.76131 79.97490 83.18280 86.38550 89.58380 92.77811 95.96880 99.15630 102.34081 105.52271 108.70230 111.87959 115.05490 118.22839 L=18 22.71500 27.12930 31.06230 34.77170 38.34980 41.84150 45.27210 48.65740 52.00790 55.33110 58.63210 61.91500 65.18291 68.43810 71.68250 74.91750 78.14461 81.36459 84.57840 87.78680 90.99040 94.18961 97.38490 100.57671 103.76540 106.95120 110.13440 113.31531 116.49390 119.67059 L=19 23.79780 28.26530 32.23650 35.97630 39.57950 43.09250 46.54160 49.94320 53.30820 56.64430 59.95700 63.25050 66.52811 69.79210 73.04469 76.28729 79.52139 82.74789 85.96780 89.18190 92.39079 95.59500 98.79510 101.99139 105.18430 108.37410 111.56110 114.74550 117.92751 121.10741 L=20 24.87800 29.39710 33.40580 37.17530 40.80330 44.33740 47.80490 51.22260 54.60200 57.95100 61.27540 64.57961 67.86681 71.13980 74.40060 77.65089 80.89200 84.12520 87.35130 90.57111 93.78540 96.99471 100.19960 103.40041 106.59760 109.79150 112.98230 116.17039 119.35590 122.53909 L=21 25.95570 30.52510 34.57040 38.36920 42.02150 45.57650 49.06220 52.49600 55.88970 59.25160 62.58770 65.90250 69.19949 72.48151 75.75050 79.00850 82.25681 85.49660 88.72890 91.95461 95.17439 98.38890 101.59860 104.80400 108.00560 111.20360 114.39841 117.59019 120.77930 123.96590 L=22 27.03110 31.64960 35.73080 39.55820 43.23460 46.81020 50.31390 53.76360 57.17160 60.54630 63.89410 67.21960 70.52631 73.81731 77.09470 80.36040 83.61591 86.86240 90.10100 93.33260 96.55791 99.77769 102.99229 106.20239 109.40840 112.61060 115.80940 119.00500 122.19769 125.38770 L=23 28.10430 32.77070 36.88710 40.74280 44.44280 48.03880 51.56030 55.02590 58.44800 61.83560 65.19501 68.53110 71.84760 75.14760 78.43340 81.70680 84.96950 88.22279 91.46780 94.70531 97.93629 101.16130 104.38091 107.59579 110.80620 114.01270 117.21550 120.41490 123.61130 126.80490 L=24 29.17560 33.88880 38.03960 41.92300 45.64650 49.26260 52.80180 56.28300 59.71930 63.11950 66.49049 69.83730 73.16360 76.47260 79.76669 83.04800 86.31799 89.57800 92.82941 96.07291 99.30949 102.53990 105.76460 108.98421 112.19920 115.41000 118.61690 121.82030 125.02040 128.21750 L=25 30.24500 35.00400 39.18860 43.09930 46.84570 50.48180 54.03840 57.53530 60.98550 64.39850 67.78101 71.13840 74.47450 77.79250 81.09500 84.38409 87.66141 90.92830 94.18610 97.43570 100.67799 103.91370 107.14349 110.36790 113.58749 116.80260 120.01370 123.22099 126.42490 129.62561 L=26 31.31270 36.11640 40.33420 44.27180 48.04090 51.69660 55.27060 58.78290 62.24700 65.67261 69.06670 72.43460 75.78040 79.10750 82.41850 85.71530 88.99989 92.27370 95.53799 98.79359 102.04170 105.28281 108.51781 111.74710 114.97130 118.19080 121.40610 124.61740 127.82510 131.02951 L=27 32.37870 37.22630 41.47660 45.44070 49.23220 52.90740 56.49850 60.02610 63.50400 66.94209 70.34770 73.72610 77.08170 80.41789 83.73720 87.04190 90.33389 93.61450 96.88519 100.14700 103.40080 106.64740 109.88760 113.12180 116.35069 119.57460 122.79410 126.00951 129.22110 132.42911 L=28 33.44320 38.33380 42.61610 46.60620 50.41980 54.11410 57.72220 61.26500 64.75670 68.20731 71.62421 75.01320 78.37849 81.72369 85.05141 88.36400 91.66330 94.95090 98.22810 101.49600 104.75560 108.00771 111.25301 114.49220 117.72580 120.95419 124.17799 127.39740 130.61292 133.82471 L=29 34.50630 39.43900 43.75270 47.76850 51.60390 55.31720 58.94210 62.49990 66.00520 69.46820 72.89650 76.29601 79.67101 83.02510 86.36130 89.68170 92.98840 96.28290 99.56660 102.84061 106.10609 109.36369 112.61420 115.85840 119.09669 122.32970 125.55769 128.78131 132.00070 135.21631 L=30 35.56800 40.54200 44.88670 48.92770 52.78460 56.51670 60.15820 63.73090 67.24969 70.72501 74.16470 77.57460 80.95930 84.32240 87.66690 90.99519 94.30920 97.61070 100.90089 104.18120 107.45239 110.71561 113.97141 117.22050 120.46359 123.70110 126.93350 130.16129 133.38461 136.60400 L=31 36.62840 41.64300 46.01800 50.08390 53.96210 57.71270 61.37070 64.95821 68.49040 71.97800 75.42889 78.84920 82.24350 85.61560 88.96851 92.30470 95.62610 98.93440 102.23120 105.51759 108.79480 112.06351 115.32460 118.57880 121.82660 125.06870 128.30551 131.53741 134.76480 137.98801 L=32 37.68750 42.74200 47.14700 51.23740 55.13650 58.90550 62.57980 66.18201 69.72749 73.22729 76.68941 80.12000 83.52390 86.90500 90.26620 93.61020 96.93890 100.25430 103.55760 106.85020 110.13319 113.40750 116.67390 119.93320 123.18581 126.43250 129.67371 132.90979 136.14120 139.36829 L=33 38.74550 43.83910 48.27360 52.38820 56.30800 60.09510 63.78560 67.40230 70.96111 74.47290 77.94620 81.38710 84.80060 88.19051 91.56010 94.91190 98.24800 101.57030 104.88020 108.17900 111.46790 114.74780 118.01950 121.28380 124.54131 127.79260 131.03821 134.27850 137.51401 140.74500 L=34 39.80240 44.93450 49.39790 53.53650 57.47670 61.28180 64.98820 68.61940 72.19119 75.71510 79.19940 82.65060 86.07359 89.47250 92.85040 96.21001 99.55350 102.88271 106.19910 109.50420 112.79890 116.08440 119.36150 122.63091 125.89320 129.14920 132.39920 135.64371 138.88330 142.11819 L=35 40.85830 46.02820 50.52020 54.68230 58.64280 62.46550 66.18781 69.83330 73.41811 76.95390 80.44920 83.91060 87.34309 90.75079 94.13710 97.50450 100.85530 104.19141 107.51450 110.82570 114.12640 117.41750 120.69991 123.97440 127.24159 130.50220 133.75671 137.00549 140.24911 143.48792 L=36 41.91310 47.12020 51.64040 55.82570 59.80620 63.64650 67.38451 71.04410 74.64191 78.18950 81.69580 85.16730 88.60930 92.02580 95.42030 98.79550 102.15370 105.49680 108.82629 112.14380 115.45039 118.74710 122.03490 125.31450 128.58661 131.85181 135.11081 138.36389 141.61160 144.85440 L=37 42.96690 48.21070 52.75870 56.96700 60.96710 64.82480 68.57829 72.25200 75.86259 79.42200 82.93919 86.42081 89.87210 93.29750 96.70030 100.08321 103.44870 106.79871 110.13480 113.45850 116.77100 120.07339 123.36650 126.65120 129.92819 133.19821 136.46161 139.71899 142.97089 146.21759 L=38 44.01990 49.29970 53.87510 58.10600 62.12570 66.00060 69.76950 73.45711 77.08040 80.65150 84.17950 87.67110 91.13190 94.56599 97.97701 101.36771 104.74049 108.09740 111.44009 114.77000 118.08839 121.39639 124.69490 127.98470 131.26660 134.54120 137.80920 141.07089 144.32690 147.57761 L=39 45.07190 50.38730 54.98960 59.24300 63.28190 67.17390 70.95799 74.65939 78.29530 81.87810 85.41679 88.91840 92.38850 95.83130 99.25050 102.64900 106.02910 109.39290 112.74210 116.07820 119.40250 122.71620 126.02000 129.31500 132.60181 135.88120 139.15359 142.41971 145.67981 148.93460 L=40 46.12310 51.47350 56.10250 60.37790 64.43600 68.34480 72.14400 75.85910 79.50760 83.10181 86.65120 90.16280 93.64211 97.09370 100.52110 103.92720 107.31461 110.68530 114.04100 117.38341 120.71359 124.03281 127.34210 130.64221 133.93390 137.21799 140.49500 143.76541 147.02969 150.28839 L=41 47.17350 52.55840 57.21370 61.51100 65.58791 69.51331 73.32750 77.05620 80.71710 84.32291 87.88290 91.40430 94.89290 98.35310 101.78860 105.20239 108.59711 111.97459 115.33690 118.68550 122.02161 125.34650 128.66110 131.96640 135.26300 138.55179 141.83331 145.10809 148.37659 151.63931 L=42 48.22310 53.64200 58.32330 62.64220 66.73770 70.67970 74.50870 78.25090 81.92410 85.54120 89.11180 92.64310 96.14090 99.60970 103.05330 106.47479 109.87669 113.26109 116.62990 119.98460 123.32671 126.65720 129.97720 133.28760 136.58920 139.88269 143.16870 146.44791 149.72061 152.98740 L=43 49.27190 54.72450 59.43130 63.77150 67.88560 71.84390 75.68761 79.44321 83.12860 86.75710 90.33810 93.87920 97.38609 100.86349 104.31520 107.74429 111.15340 114.54469 117.92000 121.28090 124.62891 127.96500 131.29041 134.60590 137.91251 141.21069 144.50131 147.78479 151.06171 154.33249 L=44 50.32010 55.80570 60.53790 64.89920 69.03149 73.00600 76.86430 80.63310 84.33070 87.97040 91.56190 95.11259 98.62869 102.11459 105.57440 109.01109 112.42740 115.82550 119.20731 122.57440 125.92821 129.26999 132.60080 135.92151 139.23291 142.53589 145.83099 149.11890 152.39999 155.67490 L=45 51.36820 56.88580 61.64300 66.02521 70.17551 74.16611 78.03880 81.82080 85.53050 89.18130 92.78310 96.34360 99.86870 103.36320 106.83090 110.27521 113.69870 117.10361 120.49190 123.86520 127.22490 130.57230 133.90839 137.23419 140.55069 143.85840 147.15799 150.45029 153.73560 157.01459 L=46 52.41420 57.96480 62.74670 67.14951 71.31779 75.32420 79.21130 83.00630 86.72800 90.38989 94.00200 97.57210 101.10620 104.60910 108.08490 111.53670 114.96741 118.37910 121.77380 125.15320 128.51880 131.87180 135.21329 138.54431 141.86569 145.17810 148.48230 151.77899 155.06851 158.35159 L=47 53.46030 59.04270 63.84910 68.27229 72.45830 76.48050 80.38170 84.18970 87.92329 91.59621 95.21851 98.79820 102.34120 105.85260 109.33630 112.79570 116.23351 119.65190 123.05310 126.43871 129.81021 133.16879 136.51559 139.85181 143.17810 146.49530 149.80399 153.10510 156.39880 159.68591 L=48 54.50630 60.11960 64.95020 69.39349 73.59711 77.63490 81.55020 85.37100 89.11639 92.80020 96.43280 100.02190 103.57390 107.09370 110.58530 114.05220 117.49710 120.92230 124.32990 127.72160 131.09891 134.46310 137.81540 141.15671 144.48792 147.80981 151.12320 154.42859 157.72659 161.01770 L=49 55.55070 61.19560 66.05000 70.51331 74.73430 78.78751 82.71680 86.55029 90.30750 94.00211 97.64481 101.24339 104.80420 108.33240 111.83189 115.30630 118.75819 122.19020 125.60420 129.00211 132.38519 135.75500 139.11261 142.45901 145.79520 149.12180 152.43979 155.74960 159.05179 162.34698 L=50 56.59500 62.27060 67.14861 71.63170 75.86990 79.93840 83.88161 87.72771 91.49651 95.20200 98.85471 102.46271 106.03230 109.56880 113.07620 116.55800 120.01700 123.45570 126.87610 130.28009 133.66901 137.04440 140.40741 143.75891 147.10001 150.43140 153.75391 157.06812 160.37460 163.67389 L=51 57.63940 63.34460 68.24600 72.74870 77.00391 81.08760 85.04449 88.90320 92.68359 96.39970 100.06239 103.67979 107.25819 110.80299 114.31821 117.80740 121.27341 124.71880 128.14560 131.55569 134.95050 138.33139 141.69971 145.05640 148.40240 151.73859 155.06561 158.38419 161.69489 164.99829 L=52 58.68190 64.41769 69.34219 73.86430 78.13640 82.23520 86.20570 90.07690 93.86870 97.59550 101.26810 104.89481 108.48199 112.03500 115.55800 119.05460 122.52760 125.97971 129.41290 132.82901 136.22961 139.61609 142.98969 146.35159 149.70251 153.04340 156.37491 159.69791 163.01291 166.32040 L=53 59.72430 65.49001 70.43730 74.97861 79.26750 83.38120 87.36520 91.24879 95.05200 98.78940 102.47189 106.10770 109.70360 113.26480 116.79559 120.29950 123.77960 127.23830 130.67780 134.10001 137.50641 140.89850 144.27740 147.64441 151.00021 154.34579 157.68201 161.00931 164.32849 167.64011 L=54 60.76680 66.56140 71.53140 76.09171 80.39709 84.52570 88.52310 92.41890 96.23340 99.98129 103.67360 107.31870 110.92329 114.49260 118.03110 121.54240 125.02940 128.49469 131.94061 135.36880 138.78101 142.17859 145.56290 148.93491 152.29568 155.64600 158.98669 162.31851 165.64191 168.95761 L=55 61.80820 67.63200 72.62440 77.20351 81.52541 85.66859 89.67931 93.58730 97.41310 101.17140 104.87350 108.52769 112.14090 115.71831 119.26450 122.78310 126.27699 129.74899 133.20111 136.63541 140.05341 143.45651 146.84610 150.22321 153.58890 156.94400 160.28922 163.62531 166.95300 170.27280 L=56 62.84960 68.70190 73.71640 78.31419 82.65230 86.81010 90.83400 94.75410 98.59100 102.35980 106.07150 109.73480 113.35651 116.94209 120.49590 124.02180 127.52260 131.00119 134.45959 137.89990 141.32361 144.73230 148.12720 151.50940 154.87991 158.23969 161.58951 164.92999 168.26199 171.58578 L=57 63.89000 69.77090 74.80740 79.42360 83.77789 87.95010 91.98711 95.91920 99.76730 103.54630 107.26770 110.94009 114.57030 118.16389 121.72540 125.25841 128.76620 132.25131 135.71600 139.16229 142.59171 146.00589 149.40610 152.79340 156.16879 159.53329 162.88770 166.23260 169.56870 172.89670 L=58 64.93040 70.83920 75.89740 80.53191 84.90230 89.08881 93.13879 97.08279 100.94189 104.73120 108.46210 112.14349 115.78220 119.38380 122.95290 126.49310 130.00781 133.49939 136.97040 140.42261 143.85779 147.27750 150.68289 154.07529 157.45560 160.82480 164.18369 167.53299 170.87341 174.20551 L=59 65.97079 71.90669 76.98650 81.63921 86.02541 90.22610 94.28900 98.24480 102.11481 105.91431 109.65480 113.34509 116.99229 120.60190 124.17850 127.72591 131.24741 134.74551 138.22269 141.68091 145.12189 148.54700 151.95770 155.35519 158.74039 162.11429 165.47769 168.83139 172.17599 175.51208 L=60 67.00929 72.97350 78.07460 82.74530 87.14729 91.36211 95.43781 99.40540 103.28630 107.09590 110.84579 114.54500 118.20061 121.81810 125.40221 128.95679 132.48511 135.98981 139.47321 142.93729 146.38391 149.81451 153.23050 156.63300 160.02310 163.40170 166.76959 170.12769 173.47650 176.81680 L=61 68.04781 74.03970 79.16190 83.85040 88.26801 92.49680 96.58521 100.56450 104.45610 108.27580 112.03520 115.74319 119.40710 123.03250 126.62421 130.18591 133.72089 137.23209 140.72171 144.19171 147.64401 151.08011 154.50131 157.90891 161.30380 164.68710 168.05960 171.42200 174.77499 178.11938