********* Eigenvalues for the 3+1 transverse lattice ********* Couplings: 0:mu^2 1:g^2 N 2:beta 3:lambda_1 4:lambda_2 5:lambda_3 6:lambda_4 7:lambda_5 8:tau_1 9:tau_2 10:kappa_S 11:kappa_A 12:mu_F 13:mu_0^2 14:mu_1^2 15:mu_2^2 16:mu_3^2 Use chi^2 fit with 40 criteria and tolerance 0.01. Overall scale from minimizing chi^2. Parity doublets (charge,multi,state) with error for difference over average. ( 1, 5,0) and ( 1, 6,0), error 0.25 (-1, 5,0) and (-1, 6,0), error 0.25 (-1, 7,0) and (-1, 4,0), error 0.25 Spectrum for P_perp a = (0,0), ( 0.25 0) using 4 states (multiplet, charge, c^2 error for each) = (15, 1, 0.25 2 2 2) (15, -1, 0.25 2 2 2) (16, -1, 0.25 2 2 2) (16, 1, 0.25 2 2 2) Spectrum for P_perp a = (0,0), ( 0.25 0.25) using 4 states (multiplet, charge, c^2 error for each) = (17, 1, 0.25 2 2 2) (17, -1, 0.25 2 2 2) (18, -1, 0.25 2 2 2) (18, 1, 0.25 2 2 2). Ordinary spectra multiplets, 4 states, (charge,multiplet) = ( 1, 3) (-1, 3) ( 1, 4) (-1, 4) ( 1, 5) (-1, 5) ( 1, 6) (-1, 6) (-1, 7) ( 1, 7) . All spectra extrapolated using (K,p) = (16/2,8) (16/2,6) (20/2,6) (26/2,6) . Winding potential using (n,K,p) = ( 2 0,20/2,4) ( 2 0,20/2,6) ( 2 0,24/2,4) ( 2 0,32/2,4) ( 3 0,20/2,5) ( 3 0,20/2,7) ( 3 0,26/2,5) ( 3 0,34/2,5) ( 4 0,18/2,6) ( 4 0,18/2,8) ( 4 0,24/2,6) ( 4 0,32/2,6) . Roundness of winding using (n,K,p) = ( 2 2,16/2,6) ( 2 2,16/2,8) ( 2 2,24/2,6) ( 2 2,28/2,6) with error 1; in G^2 N units. Heavy potential determined using (n,K,p,K_max) = ( 0 0,40/2,2,4) ( 0 0,40/2,4,4) ( 0 0,40/2,2,3.5) ( 0 0,50/2,2,3.75) ( 0 0,50/2,2,4.25) ( 0 0,70/2,2,4) ( 0 0,70/2,2,4.5) , L = 3.577-2.726*m 5.058-3.856*m 7.154-5.452*m (all in G^2 N units); relative scale error=0.1. Roundness determined using (n,K,p,K_max) = ( 1 0,20/2,3,4) ( 1 0,20/2,5,4) ( 1 0,20/2,3,3.5) ( 1 0,34/2,3,4) ( 1 0,34/2,3,5) ( 1 0,70/2,3,5) ( 1 0,70/2,3,6) L=1.265-0.964*m and error 0.1; ( 1 0,20/2,3,4) ( 1 0,20/2,5,4) ( 1 0,20/2,3,3.5) ( 1 0,34/2,3,4) ( 1 0,34/2,3,5) ( 1 0,70/2,3,5) ( 1 0,70/2,3,6) L=5.058-3.856*m and error 0.1; ( 1 1,34/2,2,5.5) ( 1 1,34/2,4,5.5) ( 1 1,34/2,2,5) ( 1 1,48/2,2,5.5) ( 1 1,48/2,2,6.5) ( 1 1,70/2,2,6) ( 1 1,70/2,2,7) L=0+0*m and error 0.2; all in G^2 N units. p-extrapolation using n=( 1 0) and (K,p) = (14/2,3) (36/2,3) (46/2,3) (14/2,5) (30/2,5) (14/2,7) (18/2,7) . Result format: Fit info, # steps, chi^2, and p damping, scale G^2 N/sigma. The 17 couplings (G^2 N units); which couplings -- if any -- were fit. Winding potential and heavy souce potential fits. Roundness of winding potential, 1 values, and roundness of heavy source potential, 3 values, (G^2 N units) showing measured value and derived value for each. The rescaled spectrum for each P_perp*a and c^2 values. Finally come the states for the ordinary spectra. 2 29 80.86233848 -7.705101792 10.20208254 0 1 -0.2055519716 0.1463537696 -0.2399991392 2412.174838 -0.1562598906 1197.041602 -1.357852063 -2.034394207 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.128992 -0.335797 -0.136302 0.114321 -0.234952 0.489126 1.311885 0.679098 0.461819 0.334376 0.582113 0.557377 1.132396 0.451832 14.106198 14.159198 1.11594 24.907489 24.882074 -0.535116 28.451277 28.481534 0.637098 34.295344 34.297179 0.0386305 29.603917 29.626421 0.473848 46.406714 46.416804 0.212441 53.512511 53.530669 0.382326 55.610972 55.602470 -0.179027 21.300516 21.302887 0.0499305 29.603917 29.613424 0.200185 46.406714 46.428229 0.453001 49.247874 49.218379 -0.62104 34.295344 34.299861 0.0951009 39.858318 39.862067 0.0789373 47.738957 47.744715 0.121237 54.198752 54.197754 -0.0210213 14.106198 14.211931 1.11314 24.907489 24.858229 -0.518603 34.295344 34.315386 0.211002 37.413730 37.412176 -0.0163553 29.603917 29.648786 0.472374 46.406714 46.404788 -0.0202771 49.430672 49.425994 -0.0492489 53.512511 53.552791 0.424053 21.300516 21.305278 0.050128 29.603917 29.622755 0.19833 46.406714 46.468987 0.655596 49.247874 49.194790 -0.558858 28.451277 28.505760 0.573592 34.295344 34.288828 -0.0686007 47.113945 47.277595 1.72289 47.738957 47.682614 -0.593169 14.106198 24.907489 37.413730 48.174715 63.769080 77.773175 74.642616 76.850152 60.381780 66.557659 70.091831 78.818482 21.300516 49.247874 57.358016 59.513448 28.451277 47.113945 48.680317 51.687129 55.610972 60.143604 79.011182 79.965880 39.858318 56.899729 71.667622 75.669386 49.430672 65.273814 66.775142 72.942419 29.603917 46.406714 53.512511 57.952953 34.295344 47.738957 54.198752 58.347984 2 29 80.24903317 -7.692084978 9.500682256 0.001967542671 1 0.3468000442 0.06907960617 -0.2183376586 6631.86382 -0.1093210009 3152.870442 -1.751729774 -2.498991158 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.150054 -0.492582 0.011227 0.108503 -0.339049 0.666739 1.142313 0.709252 0.441861 0.253648 0.489463 0.433727 0.992441 0.353776 9.109099 9.165185 1.27931 21.506167 21.529188 0.525093 22.623633 22.581609 -0.95856 27.446711 27.445106 -0.0366102 27.646676 27.667268 0.469689 42.223811 42.243189 0.44202 47.677638 47.692173 0.331544 50.249953 50.247310 -0.0602772 22.399113 22.399901 0.0179782 27.646676 27.672260 0.583559 42.223811 42.212947 -0.247806 46.684905 46.641892 -0.981128 27.446711 27.459776 0.29801 32.087045 32.087246 0.00457556 44.668157 44.696469 0.645786 47.569406 47.528823 -0.925675 9.109099 9.221146 1.27789 22.623633 22.542122 -0.92962 27.446711 27.474982 0.322431 32.087045 32.082500 -0.0518403 27.646676 27.694301 0.543162 42.223811 42.218912 -0.0558671 46.684905 46.587107 -1.11538 47.677638 47.828996 1.72623 22.399113 22.400785 0.0190707 27.646676 27.691079 0.506411 42.223811 42.249639 0.294564 46.817677 46.750171 -0.769902 21.506167 21.550258 0.502846 27.446711 27.441350 -0.0611403 35.153423 35.140987 -0.141829 41.399338 41.376561 -0.259764 9.109099 22.623633 32.792430 36.705925 58.749391 70.237573 68.733136 67.707013 50.769846 57.553709 60.888275 73.250067 22.399113 46.817677 52.499465 57.721152 21.506167 35.153423 41.399338 46.431580 50.249953 57.667843 70.834280 70.265043 32.087045 49.601077 64.205214 67.467433 46.684905 61.830136 64.687913 62.780960 27.646676 42.223811 47.677638 54.336992 27.446711 44.668157 47.569406 51.124458 2 21 54.58493961 -0.25 8.366938922 0.007919222016 1 0.3001326185 0.003192622445 -0.1421639236 1534.012924 0.01197406993 758.294798 -1.232121 -1.444653248 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.176623 -0.164530 -0.359275 0.139273 -0.105385 0.292653 2.178061 1.203542 0.564343 0.490058 0.809843 0.763534 1.064456 0.646048 18.192439 18.214730 0.527074 22.190967 22.244840 1.27382 22.263043 22.286281 0.549457 27.193348 27.154095 -0.92814 26.103965 26.115593 0.274939 43.108996 43.128763 0.467391 47.245644 47.242719 -0.0691582 49.741949 49.746964 0.11858 26.103965 26.151715 1.12904 26.990044 26.952800 -0.880622 43.108996 43.112639 0.0861391 47.245644 47.229301 -0.386406 27.193348 27.200875 0.177975 29.957454 29.952716 -0.112037 45.405776 45.418770 0.307247 46.972881 46.970258 -0.0620209 18.192439 18.237010 0.526929 22.263043 22.295987 0.389473 27.193348 27.127804 -0.774889 29.784022 29.758497 -0.301769 26.103965 26.125147 0.250428 43.108996 43.116036 0.0832231 47.245644 47.255071 0.111452 50.564815 50.579518 0.173821 26.103965 26.200143 1.13705 26.990044 26.916951 -0.864137 43.108996 43.148940 0.472233 47.245644 47.197218 -0.572506 22.190967 22.277427 1.02217 27.193348 27.196283 0.0346976 29.730695 29.745319 0.172888 43.732340 43.787575 0.653006 18.192439 22.263043 29.784022 33.086191 58.295120 60.748347 65.184076 70.345074 51.085647 52.290176 60.128267 63.436538 26.990044 49.687710 51.935725 60.489623 22.190967 29.730695 43.732340 46.389121 49.741949 59.543670 61.759698 71.735250 29.957454 52.481580 59.637189 64.089555 50.564815 58.574628 60.808828 61.950064 26.103965 43.108996 47.245644 54.347680 27.193348 45.405776 46.972881 51.134768 2 12 182.585802 -0.25 8.366938922 0.01800590693 1 0.5092963519 -0.0353246424 -0.1443702018 1570.962466 0.06676113425 746.0818937 -1.268005047 -1.411868608 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.176623 -0.164530 -0.359275 0.139273 -0.105385 0.292653 2.178061 1.203542 0.564343 0.490058 0.809843 0.763534 1.064456 0.646048 18.192439 18.214730 0.527074 22.190967 22.244840 1.27382 22.263043 22.286281 0.549457 27.193348 27.154095 -0.92814 26.103965 26.115593 0.274939 43.108996 43.128763 0.467391 47.245644 47.242719 -0.0691582 49.741949 49.746964 0.11858 26.103965 26.151715 1.12904 26.990044 26.952800 -0.880622 43.108996 43.112639 0.0861391 47.245644 47.229301 -0.386406 27.193348 27.200875 0.177975 29.957454 29.952716 -0.112037 45.405776 45.418770 0.307247 46.972881 46.970258 -0.0620209 18.192439 18.237010 0.526929 22.263043 22.295987 0.389473 27.193348 27.127804 -0.774889 29.784022 29.758497 -0.301769 26.103965 26.125147 0.250428 43.108996 43.116036 0.0832231 47.245644 47.255071 0.111452 50.564815 50.579518 0.173821 26.103965 26.200143 1.13705 26.990044 26.916951 -0.864137 43.108996 43.148940 0.472233 47.245644 47.197218 -0.572506 22.190967 22.277427 1.02217 27.193348 27.196283 0.0346976 29.730695 29.745319 0.172888 43.732340 43.787575 0.653006 18.192439 22.263043 29.784022 33.086191 58.295120 60.748347 65.184076 70.345074 51.085647 52.290176 60.128267 63.436538 26.990044 49.687710 51.935725 60.489623 22.190967 29.730695 43.732340 46.389121 49.741949 59.543670 61.759698 71.735250 29.957454 52.481580 59.637189 64.089555 50.564815 58.574628 60.808828 61.950064 26.103965 43.108996 47.245644 54.347680 27.193348 45.405776 46.972881 51.134768 2 56 34.97595337 -7.722153243 8.053340888 0.03249196962 1 1.031867447 0.03868751163 -0.11896726 8120.312519 0.2117769214 -3686.794314 -1.699315916 -2.02137579 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.231560 -1.204721 0.845962 0.137933 -0.231710 0.483453 0.835267 0.753501 0.513197 0.443696 0.639823 0.656050 1.009539 0.612451 6.839516 6.867600 0.837938 21.578902 21.616881 1.13317 23.004518 23.041058 1.09024 28.428627 28.433666 0.150371 24.692864 24.698361 0.164043 36.790201 36.830172 1.19263 48.678229 48.660614 -0.525568 53.688598 53.694041 0.162413 24.692864 24.734416 1.2398 29.977001 29.995529 0.552829 36.790201 36.768248 -0.655003 46.933411 47.001210 2.02295 28.813980 28.847650 1.00462 33.760162 33.738841 -0.63618 42.511946 42.528613 0.49729 47.781570 47.783047 0.0440832 6.839516 6.895370 0.833263 23.004518 23.079663 1.12106 28.813980 28.870015 0.835968 29.054871 28.994089 -0.906789 24.692864 24.727298 0.513711 36.790201 36.769099 -0.314812 46.933411 46.997675 0.958736 48.678229 48.685619 0.11026 24.692864 24.731310 0.573567 29.977001 30.035809 0.877346 36.790201 36.849160 0.879593 48.678229 48.659209 -0.28374 21.578902 21.653225 1.1088 28.428627 28.443016 0.214667 28.813980 28.831546 0.262072 33.137412 33.147690 0.153334 6.839516 23.004518 29.054871 43.777983 59.192186 70.331194 73.313203 73.228126 47.781570 56.169833 73.784295 74.699377 29.977001 52.533706 56.531622 66.869735 21.578902 28.428627 33.137412 41.706723 53.688598 63.132038 76.815854 76.333258 33.760162 55.277882 60.769475 72.217072 46.933411 52.226501 68.723980 69.105119 24.692864 36.790201 48.678229 57.855144 28.813980 42.511946 48.462686 54.376051 2 31 31.81500561 -10.68573673 7.668384312 0.0517766953 1 0.8997772988 -0.1051775059 -0.1627482446 3980.14283 0.09331569556 1565.448172 -1.446365039 -1.881981723 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.252962 -0.976018 0.628915 0.145638 -0.167673 0.368966 1.413949 1.126288 0.569501 0.506637 0.708467 0.725570 1.093647 0.694336 8.272287 8.304732 1.007 19.375190 19.402806 0.8571 19.632181 19.661690 0.915867 27.239063 27.266496 0.851414 25.887762 25.896271 0.264106 39.055024 39.087724 1.01489 48.355993 48.349439 -0.20342 52.180776 52.190846 0.312567 25.887762 25.924951 1.15424 31.445685 31.458048 0.383736 39.055024 39.040292 -0.457245 48.355993 48.320549 -1.10009 27.239063 27.272507 1.03799 32.051390 32.030299 -0.654612 43.402021 43.422721 0.642464 47.076431 47.053632 -0.707607 8.272287 8.337179 1.00703 19.632181 19.691785 0.924968 27.239063 27.209031 -0.466052 27.294024 27.285279 -0.13571 25.887762 25.920678 0.510807 39.055024 39.047176 -0.121796 48.355993 48.337190 -0.291794 50.180207 50.256883 1.1899 25.887762 25.935482 0.74054 31.445685 31.481430 0.554712 39.055024 39.099961 0.697357 48.355993 48.283378 -1.12687 19.375190 19.430173 0.853253 27.239063 27.231785 -0.112943 27.280224 27.281190 0.0149939 35.442767 35.471810 0.4507 8.272287 19.632181 27.294024 42.469328 59.959417 69.735372 68.429739 73.702496 50.195031 54.130761 68.628441 73.469169 31.445685 51.970520 56.679334 67.043787 19.375190 27.280224 35.442767 40.832697 52.180776 62.866106 75.516049 74.372560 32.051390 54.666593 63.292243 69.352524 50.180207 54.045659 70.212393 68.056930 25.887762 39.055024 48.355993 58.350931 27.239063 43.402021 47.076431 53.253155 1 66 41.40077357 -10.68573673 7.668384312 0.07642881742 1 0.7196406787 0.01833465035 -0.1008664189 1344.288732 0.00702881626 582.3189837 -1.839180597 -2.344141135 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.252962 -0.976018 0.628915 0.145638 -0.167673 0.368966 1.413949 1.126288 0.569501 0.506637 0.708467 0.725570 1.093647 0.694336 8.272287 8.304732 1.007 19.375190 19.402806 0.8571 19.632181 19.661690 0.915867 27.239063 27.266496 0.851414 25.887762 25.896271 0.264106 39.055024 39.087724 1.01489 48.355993 48.349439 -0.20342 52.180776 52.190846 0.312567 25.887762 25.924951 1.15424 31.445685 31.458048 0.383736 39.055024 39.040292 -0.457245 48.355993 48.320549 -1.10009 27.239063 27.272507 1.03799 32.051390 32.030299 -0.654612 43.402021 43.422721 0.642464 47.076431 47.053632 -0.707607 8.272287 8.337179 1.00703 19.632181 19.691785 0.924968 27.239063 27.209031 -0.466052 27.294024 27.285279 -0.13571 25.887762 25.920678 0.510807 39.055024 39.047176 -0.121796 48.355993 48.337190 -0.291794 50.180207 50.256883 1.1899 25.887762 25.935482 0.74054 31.445685 31.481430 0.554712 39.055024 39.099961 0.697357 48.355993 48.283378 -1.12687 19.375190 19.430173 0.853253 27.239063 27.231785 -0.112943 27.280224 27.281190 0.0149939 35.442767 35.471810 0.4507 8.272287 19.632181 27.294024 42.469328 59.959417 69.735372 68.429739 73.702496 50.195031 54.130761 68.628441 73.469169 31.445685 51.970520 56.679334 67.043787 19.375190 27.280224 35.442767 40.832697 52.180776 62.866106 75.516049 74.372560 32.051390 54.666593 63.292243 69.352524 50.180207 54.045659 70.212393 68.056930 25.887762 39.055024 48.355993 58.350931 27.239063 43.402021 47.076431 53.253155 2 48 66.09730518 -10.68573673 7.668384312 0.1072401379 1 0.8255575867 -0.1303311687 -0.1617099698 1480.697799 0.05684870058 708.3251148 -1.475900159 -1.924118561 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.252962 -0.976018 0.628915 0.145638 -0.167673 0.368966 1.413949 1.126288 0.569501 0.506637 0.708467 0.725570 1.093647 0.694336 8.272287 8.304732 1.007 19.375190 19.402806 0.8571 19.632181 19.661690 0.915867 27.239063 27.266496 0.851414 25.887762 25.896271 0.264106 39.055024 39.087724 1.01489 48.355993 48.349439 -0.20342 52.180776 52.190846 0.312567 25.887762 25.924951 1.15424 31.445685 31.458048 0.383736 39.055024 39.040292 -0.457245 48.355993 48.320549 -1.10009 27.239063 27.272507 1.03799 32.051390 32.030299 -0.654612 43.402021 43.422721 0.642464 47.076431 47.053632 -0.707607 8.272287 8.337179 1.00703 19.632181 19.691785 0.924968 27.239063 27.209031 -0.466052 27.294024 27.285279 -0.13571 25.887762 25.920678 0.510807 39.055024 39.047176 -0.121796 48.355993 48.337190 -0.291794 50.180207 50.256883 1.1899 25.887762 25.935482 0.74054 31.445685 31.481430 0.554712 39.055024 39.099961 0.697357 48.355993 48.283378 -1.12687 19.375190 19.430173 0.853253 27.239063 27.231785 -0.112943 27.280224 27.281190 0.0149939 35.442767 35.471810 0.4507 8.272287 19.632181 27.294024 42.469328 59.959417 69.735372 68.429739 73.702496 50.195031 54.130761 68.628441 73.469169 31.445685 51.970520 56.679334 67.043787 19.375190 27.280224 35.442767 40.832697 52.180776 62.866106 75.516049 74.372560 32.051390 54.666593 63.292243 69.352524 50.180207 54.045659 70.212393 68.056930 25.887762 39.055024 48.355993 58.350931 27.239063 43.402021 47.076431 53.253155 2 29 87.1842841 -10.68573673 7.668384312 0.1453085056 1 0.8407902864 -0.1198901419 -0.1406846785 3890.865186 0.02884510202 1500.949187 -1.390836955 -1.501050106 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.252962 -0.976018 0.628915 0.145638 -0.167673 0.368966 1.413949 1.126288 0.569501 0.506637 0.708467 0.725570 1.093647 0.694336 8.272287 8.304732 1.007 19.375190 19.402806 0.8571 19.632181 19.661690 0.915867 27.239063 27.266496 0.851414 25.887762 25.896271 0.264106 39.055024 39.087724 1.01489 48.355993 48.349439 -0.20342 52.180776 52.190846 0.312567 25.887762 25.924951 1.15424 31.445685 31.458048 0.383736 39.055024 39.040292 -0.457245 48.355993 48.320549 -1.10009 27.239063 27.272507 1.03799 32.051390 32.030299 -0.654612 43.402021 43.422721 0.642464 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48.283378 -1.12687 19.375190 19.430173 0.853253 27.239063 27.231785 -0.112943 27.280224 27.281190 0.0149939 35.442767 35.471810 0.4507 8.272287 19.632181 27.294024 42.469328 59.959417 69.735372 68.429739 73.702496 50.195031 54.130761 68.628441 73.469169 31.445685 51.970520 56.679334 67.043787 19.375190 27.280224 35.442767 40.832697 52.180776 62.866106 75.516049 74.372560 32.051390 54.666593 63.292243 69.352524 50.180207 54.045659 70.212393 68.056930 25.887762 39.055024 48.355993 58.350931 27.239063 43.402021 47.076431 53.253155 2 10 150.3358272 -10.68573673 7.668384312 0.25 1 0.5355778037 0.1028712575 -0.3463429687 1570.962466 0.03682869073 746.0818937 -0.3692480899 -1.815163259 0 0 0 0 0 0 0 2 3 4 5 6 7 8 9 0.252962 -0.976018 0.628915 0.145638 -0.167673 0.368966 1.413949 1.126288 0.569501 0.506637 0.708467 0.725570 1.093647 0.694336 8.272287 8.304732 1.007 19.375190 19.402806 0.8571 19.632181 19.661690 0.915867 27.239063 27.266496 0.851414 25.887762 25.896271 0.264106 39.055024 39.087724 1.01489 48.355993 48.349439 -0.20342 52.180776 52.190846 0.312567 25.887762 25.924951 1.15424 31.445685 31.458048 0.383736 39.055024 39.040292 -0.457245 48.355993 48.320549 -1.10009 27.239063 27.272507 1.03799 32.051390 32.030299 -0.654612 43.402021 43.422721 0.642464 47.076431 47.053632 -0.707607 8.272287 8.337179 1.00703 19.632181 19.691785 0.924968 27.239063 27.209031 -0.466052 27.294024 27.285279 -0.13571 25.887762 25.920678 0.510807 39.055024 39.047176 -0.121796 48.355993 48.337190 -0.291794 50.180207 50.256883 1.1899 25.887762 25.935482 0.74054 31.445685 31.481430 0.554712 39.055024 39.099961 0.697357 48.355993 48.283378 -1.12687 19.375190 19.430173 0.853253 27.239063 27.231785 -0.112943 27.280224 27.281190 0.0149939 35.442767 35.471810 0.4507 8.272287 19.632181 27.294024 42.469328 59.959417 69.735372 68.429739 73.702496 50.195031 54.130761 68.628441 73.469169 31.445685 51.970520 56.679334 67.043787 19.375190 27.280224 35.442767 40.832697 52.180776 62.866106 75.516049 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