Here N'(t) = (Area/4pi)*t+((Pn-Pd)/4pi)*t^1/2+1/24*(phi(theta2)+phi(2*theta1)+phi(2*theta3)-(phi(theta1)+phi(theta3))).
Three triangles were created by choosing angles arbitrarily. The first two angles chosen were then joined to a side of length 1, with the third angle opposite the length 1 side. The sides opposite angles 1 and 3 were given Dirichlet boundary conditions, and the side opposite angle 2 was given Neumann boundary conditions. For triangle 1 the first approximately 200 eigenvalues were used, the first 370 for triangle 2, and the first 100 for triangle 3. The reason for the varying number of values is the size and shape of the triangles in the Euclidean plane affected how high up MATLAB was able to accurately compute the values. MATLAB's built-in solver uses an auto-generated mesh that is refined for successively more accurate estimations for the Eigenvalues.
The three Euclidean Triangles analyzed had angle measures of [pi/20,pi/5,3pi/4], [pi/4,pi/5,11pi/20], and [2pi/7,pi/7,4pi/7], respectively. They have the same measurements as the other two sets of arbitrary Euclidean triangles tested for purely Neumann and Dirichlet conditions.
For the mixed boundary conditions case, our predicted
counting function becomes more complicated. Denote Pn to be the length of the perimeter under Neumann
boundary conditions and Pd to be the length under Dirichlet boundary conditions. Now let phi(x)=pi/x-x/pi.
Here N'(t) = (Area/4pi)*t+((Pn-Pd)/4pi)*t^1/2+1/24*(phi(theta2)+phi(2*theta1)+phi(2*theta3)-(phi(theta1)+phi(theta3))).
Difference Graphs for the three triangles.
| Triangle 1 | ||||||||
|---|---|---|---|---|---|---|---|---|
| Refinement | ||||||||
| # | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
| 1 | 333.1775955 | 300.6053417 | 291.7274743 | 289.2199498 | 288.4763367 | 288.2439301 | 288.1535497 | |
| 2 | 593.9490927 | 498.4952984 | 474.7206323 | 468.4328723 | 466.6895403 | 466.1836177 | 465.98687 | |
| 3 | 905.1415049 | 723.5882933 | 679.4879775 | 668.1569014 | 665.1147527 | 664.265187 | 663.9348003 | |
| 4 | 1223.011027 | 979.104698 | 907.9377053 | 889.7799423 | 885.0155217 | 883.7274859 | 883.2265832 | |
| 5 | 1637.801829 | 1267.7601 | 1156.951195 | 1129.329754 | 1122.272376 | 1120.433078 | 1119.717795 | |
| 6 | 1874.060664 | 1559.515284 | 1409.849733 | 1372.210852 | 1362.777536 | 1360.407049 | 1359.485192 | |
| 7 | 2516.994575 | 1860.018449 | 1650.463836 | 1597.978069 | 1584.752333 | 1581.375558 | 1580.062367 | |
| 8 | 2667.58389 | 2124.566433 | 1884.442113 | 1820.03221 | 1802.982327 | 1798.371843 | 1796.578877 | |
| 9 | 3904.518865 | 2355.982488 | 2042.795371 | 1967.967035 | 1949.500713 | 1944.869121 | 1943.067946 | |
| 10 | 5371.821293 | 2702.629121 | 2293.16259 | 2189.9668 | 2163.851407 | 2157.125537 | 2154.509921 | |
| 11 | 26071.03319 | 3050.093651 | 2578.957949 | 2452.888501 | 2420.426282 | 2412.026737 | 2408.760247 | |
| 12 | 0 | 3244.833546 | 2685.56331 | 2541.805535 | 2505.912263 | 2496.855856 | 2493.333921 | |
| 13 | 0 | 3846.243658 | 3091.244128 | 2902.434892 | 2855.69679 | 2843.931001 | 2839.355416 | |
| 14 | 0 | 4026.574564 | 3208.682087 | 2979.321275 | 2922.908407 | 2908.648991 | 2903.103663 | |
| 15 | 0 | 4405.648304 | 3521.513605 | 3284.428874 | 3225.926751 | 3211.308051 | 3205.623001 | |
| 16 | 0 | 4926.36307 | 3808.731282 | 3498.363835 | 3422.140959 | 3402.916432 | 3395.440227 | |
| 17 | 0 | 5020.707181 | 3984.320528 | 3693.14077 | 3621.125607 | 3603.157116 | 3596.16937 | |
| 18 | 0 | 5593.671103 | 4408.687639 | 4003.375359 | 3904.307436 | 3879.560517 | 3869.936715 | |
| 19 | 0 | 5909.766431 | 4462.011916 | 4120.148223 | 4034.778951 | 4013.460461 | 4005.169937 | |
| 20 | 0 | 6248.158469 | 4833.669974 | 4434.254711 | 4329.105398 | 4302.313261 | 4291.894096 | |
| 21 | 0 | 6548.769274 | 4973.196354 | 4509.847256 | 4401.071129 | 4374.129931 | 4363.652798 | |
| 22 | 0 | 6770.04653 | 5256.829229 | 4813.325257 | 4700.465261 | 4671.466747 | 4660.189547 | |
| 23 | 0 | 7093.161095 | 5545.087014 | 4980.294912 | 4841.178393 | 4806.496295 | 4793.008812 | |
| 24 | 0 | 7326.884662 | 5672.819417 | 5160.996408 | 5038.776859 | 5008.608099 | 4996.875804 | |
| 25 | 0 | 7753.642379 | 6117.454669 | 5467.947152 | 5304.204828 | 5263.342029 | 5247.450941 | |
| 26 | 0 | 8423.060262 | 6219.199209 | 5556.012951 | 5392.219068 | 5350.792842 | 5334.682642 | |
| 27 | 0 | 8485.950972 | 6604.90473 | 5958.588145 | 5797.622396 | 5754.91623 | 5738.308276 | |
| 28 | 0 | 9649.8752 | 6818.615083 | 6012.992183 | 5818.875166 | 5772.759161 | 5754.825159 | |
| 29 | 0 | 9766.371805 | 7059.938248 | 6203.680231 | 5994.367186 | 5942.312008 | 5922.068328 | |
| 30 | 0 | 10229.76638 | 7518.97618 | 6576.171587 | 6345.247824 | 6288.052504 | 6265.80988 | |
| 31 | 0 | 10291.81973 | 7768.313587 | 6800.240097 | 6549.486192 | 6486.113381 | 6461.468399 | |
| 32 | 0 | 10605.95209 | 7925.654375 | 6906.892186 | 6658.01695 | 6595.646781 | 6571.391716 | |
| 33 | 0 | 11298.98996 | 8268.875467 | 7166.697742 | 6898.40857 | 6832.004887 | 6806.181232 | |
| 34 | 0 | 11615.35621 | 8588.548314 | 7431.10762 | 7134.754468 | 7060.295339 | 7031.339012 | |
| 35 | 0 | 11635.21906 | 9086.071771 | 7781.229954 | 7460.120732 | 7378.094713 | 7346.195706 | |
| 36 | 0 | 12432.0519 | 9228.066692 | 7822.640548 | 7479.662308 | 7397.772524 | 7365.926496 | |
| 37 | 0 | 14038.15528 | 9333.092568 | 8058.09159 | 7725.944171 | 7641.899194 | 7609.215036 | |
| 38 | 0 | 14308.92659 | 9902.539281 | 8418.408503 | 8051.544958 | 7961.639252 | 7926.675921 | |
| 39 | 0 | 15320.6807 | 9967.102379 | 8600.472123 | 8210.482049 | 8107.833479 | 8067.914591 | |
| 40 | 0 | 17109.15511 | 10374.75156 | 8690.372586 | 8312.548549 | 8223.449555 | 8188.799946 | |
| 41 | 0 | 18979.64437 | 10661.98492 | 9026.876248 | 8600.234738 | 8493.878419 | 8452.517628 | |
| 42 | 0 | 19016.66119 | 10904.94803 | 9173.154037 | 8783.883473 | 8687.635327 | 8650.205492 | |
| 43 | 0 | 20963.95143 | 11210.9027 | 9383.170043 | 8895.923519 | 8774.605739 | 8727.426602 | |
| 44 | 0 | 31439.14684 | 11726.99828 | 9770.367117 | 9267.195866 | 9140.033047 | 9090.58084 | |
| 45 | 0 | 42987.37217 | 11852.82247 | 9827.887205 | 9374.437877 | 9266.609579 | 9224.676352 | |
| 46 | 0 | 0 | 12105.63957 | 10129.7097 | 9574.382017 | 9433.413537 | 9378.592461 | |
| 47 | 0 | 0 | 12391.98945 | 10269.90642 | 9762.505358 | 9639.435044 | 9591.574366 | |
| 48 | 0 | 0 | 12801.52191 | 10564.17858 | 9993.704066 | 9851.585978 | 9796.317833 | |
| 49 | 0 | 0 | 13234.26926 | 10872.11596 | 10258.31825 | 10101.26909 | 10040.19441 | |
| 50 | 0 | 0 | 13413.12636 | 10957.77463 | 10379.72755 | 10237.81548 | 10182.62745 | |
| 51 | 0 | 0 | 13867.02408 | 11348.90044 | 10690.26578 | 10526.52399 | 10462.84662 | |
| 52 | 0 | 0 | 13970.49503 | 11354.35622 | 10764.87815 | 10626.87481 | 10573.20685 | |
| 53 | 0 | 0 | 14446.78075 | 11716.7773 | 10991.64566 | 10813.58932 | 10744.34518 | |
| 54 | 0 | 0 | 14761.6115 | 12075.81206 | 11324.37289 | 11132.63686 | 11058.07285 | |
| 55 | 0 | 0 | 15067.80337 | 12153.68685 | 11433.61875 | 11256.59426 | 11187.7514 | |
| 56 | 0 | 0 | 15594.55799 | 12473.76223 | 11703.25222 | 11504.74895 | 11427.55324 | |
| 57 | 0 | 0 | 15676.40289 | 12613.14578 | 11893.03011 | 11725.60636 | 11660.49712 | |
| 58 | 0 | 0 | 16241.64483 | 12986.94654 | 12141.22716 | 11915.71367 | 11828.01399 | |
| 59 | 0 | 0 | 16544.51597 | 13098.80396 | 12210.04791 | 12008.80453 | 11930.54322 | |
| 60 | 0 | 0 | 16792.43695 | 13408.44911 | 12499.66599 | 12273.52853 | 12185.58618 | |
| 61 | 0 | 0 | 17177.03438 | 13809.56178 | 12905.87839 | 12670.11942 | 12578.43537 | |
| 62 | 0 | 0 | 17581.5752 | 13962.22088 | 12949.43811 | 12703.96257 | 12608.49986 | |
| 63 | 0 | 0 | 17603.62259 | 14042.43389 | 13105.59884 | 12873.8877 | 12783.77781 | |
| 64 | 0 | 0 | 18104.86609 | 14198.13618 | 13261.25767 | 13025.72909 | 12934.13465 | |
| 65 | 0 | 0 | 18628.43797 | 14647.00969 | 13627.47756 | 13375.84221 | 13277.98403 | |
| 66 | 0 | 0 | 18761.59845 | 14873.98654 | 13768.08846 | 13481.8344 | 13370.51338 | |
| 67 | 0 | 0 | 19209.50968 | 15019.10495 | 13961.38561 | 13718.59205 | 13624.17234 | |
| 68 | 0 | 0 | 19419.19984 | 15367.11469 | 14195.2895 | 13905.80554 | 13793.22845 | |
| 69 | 0 | 0 | 19639.21112 | 15532.12965 | 14381.30483 | 14090.43198 | 13977.31476 | |
| 70 | 0 | 0 | 19980.74626 | 15750.27895 | 14600.8394 | 14285.00612 | 14162.18207 | |
| 71 | 0 | 0 | 20636.95779 | 15993.25825 | 14693.44053 | 14411.88292 | 14302.38829 | |
| 72 | 0 | 0 | 20785.46578 | 16230.25181 | 15001.33357 | 14683.24968 | 14559.5504 | |
| 73 | 0 | 0 | 21156.29602 | 16669.17722 | 15374.56034 | 15041.42916 | 14911.87815 | |
| 74 | 0 | 0 | 21446.41066 | 16768.60897 | 15567.76037 | 15078.341 | 14888.01124 | |
| 75 | 0 | 0 | 21628.77496 | 16976.83703 | 15797.32033 | 15227.38875 | 15005.74869 | |
| 76 | 0 | 0 | 22328.37626 | 17163.82253 | 16084.34634 | 15470.90263 | 15232.34119 | |
| 77 | 0 | 0 | 22460.06699 | 17520.9759 | 16293.98343 | 15724.8585 | 15503.53214 | |
| 78 | 0 | 0 | 22881.14668 | 17744.55345 | 16384.76025 | 15924.87459 | 15746.03016 | |
| 79 | 0 | 0 | 23327.16679 | 18001.9812 | 16711.53796 | 15998.09218 | 15720.64105 | |
| 80 | 0 | 0 | 23467.31572 | 18339.24069 | 16961.30589 | 16322.77161 | 16074.45273 | |
| 81 | 0 | 0 | 23631.36786 | 18432.38042 | 17196.69773 | 16579.21578 | 16339.08391 | |
| 82 | 0 | 0 | 23744.00737 | 18782.33438 | 17223.7154 | 16791.2753 | 16623.10414 | |
| 83 | 0 | 0 | 24204.73637 | 18981.06159 | 17430.84569 | 16809.44901 | 16567.79474 | |
| 84 | 0 | 0 | 24984.58181 | 19145.24107 | 17737.33914 | 17025.71153 | 16748.96746 | |
| 85 | 0 | 0 | 25046.0423 | 19523.21402 | 18119.10206 | 17288.93128 | 16966.08709 | |
| 86 | 0 | 0 | 25260.73601 | 19845.40863 | 18165.11763 | 17670.86679 | 17478.65813 | |
| 87 | 0 | 0 | 25698.99546 | 20017.80339 | 18343.38539 | 17681.1314 | 17423.58818 | |
| 88 | 0 | 0 | 26390.70826 | 20252.54545 | 18589.71215 | 17898.18952 | 17629.26405 | |
| 89 | 0 | 0 | 26506.60424 | 20489.29689 | 18830.2613 | 18146.5083 | 17880.60435 | |
| 90 | 0 | 0 | 26727.03836 | 20724.6312 | 19051.90333 | 18364.97374 | 18097.83446 | |
| 91 | 0 | 0 | 26884.75682 | 20966.88098 | 19131.97082 | 18573.26493 | 18355.99042 | |
| 92 | 0 | 0 | 27629.36071 | 21397.82159 | 19499.62133 | 18601.59722 | 18252.36563 | |
| 93 | 0 | 0 | 27846.89569 | 21631.78703 | 19778.89815 | 18951.14145 | 18629.23607 | |
| 94 | 0 | 0 | 27927.86818 | 21817.53885 | 19905.08968 | 19237.79813 | 18978.29586 | |
| 95 | 0 | 0 | 28007.0131 | 21955.44876 | 20063.86605 | 19392.22502 | 19131.03128 | |
| 96 | 0 | 0 | 28498.77921 | 22133.09867 | 20204.40332 | 19517.06905 | 19249.77239 | |
| 97 | 0 | 0 | 28915.84994 | 22572.9168 | 20550.51674 | 19692.63894 | 19359.01979 | |
| 98 | 0 | 0 | 29581.86617 | 22680.39905 | 20609.21505 | 19947.41073 | 19690.04238 | |
| 99 | 0 | 0 | 30580.53163 | 23151.41858 | 20938.09594 | 20101.52451 | 19776.19118 | |
| 100 | 0 | 0 | 30629.7992 | 23384.41922 | 21124.9888 | 20293.67317 | 19970.38376 | |
| 101 | 0 | 0 | 30769.42252 | 23627.76482 | 21415.0986 | 20484.83819 | 20123.07025 | |
| 102 | 0 | 0 | 30836.88462 | 23904.88574 | 21587.02864 | 20874.11656 | 20596.87297 | |
| 103 | 0 | 0 | 31342.27196 | 24106.25528 | 21770.09994 | 20897.56576 | 20558.24691 | |
| 104 | 0 | 0 | 31629.1227 | 24372.45303 | 22009.67918 | 21136.92284 | 20797.5176 | |
| 105 | 0 | 0 | 31756.11586 | 24642.09932 | 22171.58238 | 21324.5893 | 20995.2031 | |
| 106 | 0 | 0 | 32296.70257 | 24761.2237 | 22272.87175 | 21467.6626 | 21154.52571 | |
| 107 | 0 | 0 | 32759.00245 | 25200.85634 | 22685.31853 | 21688.56322 | 21300.93616 | |
| 108 | 0 | 0 | 33203.10623 | 25532.7124 | 22968.13109 | 21921.87102 | 21514.99211 | |
| 109 | 0 | 0 | 33903.73545 | 25808.7761 | 23103.29403 | 22247.85205 | 21915.18017 | |
| 110 | 0 | 0 | 34452.58942 | 25971.41132 | 23236.17762 | 22420.46748 | 22103.24688 | |
| 111 | 0 | 0 | 34909.20647 | 26166.20808 | 23365.7432 | 22472.15487 | 22124.64829 | |
| 112 | 0 | 0 | 35494.24739 | 26578.38949 | 23772.3621 | 22662.39513 | 22230.74131 | |
| 113 | 0 | 0 | 36024.46339 | 26771.77216 | 23984.51414 | 22946.40035 | 22542.68943 | |
| 114 | 0 | 0 | 36276.77537 | 27093.11536 | 24115.8135 | 23275.07437 | 22948.12026 | |
| 115 | 0 | 0 | 36441.28853 | 27267.48742 | 24328.94312 | 23306.90055 | 22909.43955 | |
| 116 | 0 | 0 | 36465.43033 | 27678.88551 | 24422.83889 | 23501.58569 | 23143.32056 | |
| 117 | 0 | 0 | 36871.81682 | 27854.87569 | 24925.41283 | 23641.65498 | 23142.41581 | |
| 118 | 0 | 0 | 37471.77031 | 28156.00763 | 25090.04337 | 24011.22895 | 23591.69 | |
| 119 | 0 | 0 | 38133.17465 | 28555.51248 | 25262.76426 | 24301.36361 | 23927.48558 | |
| 120 | 0 | 0 | 38746.4906 | 28687.31282 | 25462.03442 | 24379.18657 | 23958.07907 | |
| 121 | 0 | 0 | 38806.55288 | 28918.81112 | 25596.30556 | 24557.21427 | 24153.12321 | |
| 122 | 0 | 0 | 39408.42413 | 29363.00353 | 25724.62769 | 24739.55095 | 24356.46556 | |
| 123 | 0 | 0 | 40179.91088 | 29442.16302 | 26138.55687 | 24908.6152 | 24430.30456 | |
| 124 | 0 | 0 | 40415.67786 | 29910.4468 | 26387.63649 | 25114.48494 | 24619.37045 | |
| 125 | 0 | 0 | 40471.44341 | 30017.53339 | 26593.3624 | 25438.5097 | 24989.40032 | |
| 126 | 0 | 0 | 41245.6925 | 30101.31912 | 26707.62286 | 25629.86087 | 25210.73121 | |
| 127 | 0 | 0 | 41445.99062 | 30885.78815 | 26950.66481 | 25816.78407 | 25375.83044 | |
| 128 | 0 | 0 | 42514.17456 | 30945.9286 | 27269.54443 | 26020.07243 | 25534.16665 | |
| 129 | 0 | 0 | 42949.81375 | 31141.76079 | 27404.4869 | 26209.05582 | 25744.16596 | |
| 130 | 0 | 0 | 43251.59106 | 31401.2233 | 27528.20197 | 26444.74754 | 26023.40415 | |
| 131 | 0 | 0 | 43516.28965 | 31505.2445 | 27735.63985 | 26529.90931 | 26061.01411 | |
| 132 | 0 | 0 | 44393.62283 | 32065.35702 | 28004.90607 | 26711.6379 | 26208.70028 | |
| 133 | 0 | 0 | 44501.34172 | 32213.8631 | 28367.33024 | 26939.84947 | 26384.71805 | |
| 134 | 0 | 0 | 44658.36188 | 32539.37266 | 28628.47271 | 27313.86257 | 26802.62529 | |
| 135 | 0 | 0 | 44840.78507 | 32916.44472 | 28707.4801 | 27473.04148 | 26992.98201 | |
| 136 | 0 | 0 | 45116.62296 | 33100.26718 | 28862.83685 | 27637.39819 | 27160.83872 | |
| 137 | 0 | 0 | 45641.36249 | 33341.61801 | 28973.48137 | 27779.45261 | 27315.10809 | |
| 138 | 0 | 0 | 46569.70954 | 33615.38343 | 29169.32493 | 27998.31014 | 27542.9155 | |
| 139 | 0 | 0 | 46961.23903 | 34022.89077 | 29575.00288 | 28033.50884 | 27434.03893 | |
| 140 | 0 | 0 | 47467.77893 | 34307.32212 | 29876.17143 | 28402.31567 | 27829.14954 | |
| 141 | 0 | 0 | 48646.81707 | 34551.9528 | 30031.60976 | 28577.14788 | 28011.52381 | |
| 142 | 0 | 0 | 49034.15731 | 34677.38663 | 30225.90159 | 28873.54824 | 28347.63304 | |
| 143 | 0 | 0 | 50434.46031 | 35038.48337 | 30326.1111 | 28987.21634 | 28466.53504 | |
| 144 | 0 | 0 | 50614.63182 | 35488.50321 | 30769.22853 | 29097.72732 | 28447.69907 | |
| 145 | 0 | 0 | 51618.9273 | 35656.20432 | 30888.63537 | 29513.22077 | 28978.33732 | |
| 146 | 0 | 0 | 51744.82495 | 35737.55465 | 31072.48517 | 29721.0989 | 29195.55979 | |
| 147 | 0 | 0 | 52118.62593 | 36235.04574 | 31256.27658 | 29777.33634 | 29202.19292 | |
| 148 | 0 | 0 | 52593.22387 | 36448.27294 | 31547.21924 | 29995.78367 | 29392.44761 | |
| 149 | 0 | 0 | 52760.07949 | 36932.27789 | 31597.37556 | 30219.9132 | 29684.23339 | |
| 150 | 0 | 0 | 53889.51672 | 37294.55452 | 31945.51752 | 30243.40575 | 29581.4734 | |
| 151 | 0 | 0 | 54155.6812 | 37585.28327 | 32271.97466 | 30626.53968 | 29986.6483 | |
| 152 | 0 | 0 | 55622.31208 | 37657.46988 | 32537.75382 | 30847.93183 | 30190.77883 | |
| 153 | 0 | 0 | 55927.91393 | 38008.15531 | 32742.50293 | 31098.00748 | 30458.48148 | |
| 154 | 0 | 0 | 56134.90575 | 38214.51125 | 32805.09191 | 31330.44696 | 30756.97392 | |
| 155 | 0 | 0 | 56980.82244 | 38268.36242 | 33059.93044 | 31394.01588 | 30746.16022 | |
| 156 | 0 | 0 | 56998.66697 | 39015.4406 | 33181.38946 | 31694.60773 | 31116.41483 | |
| 157 | 0 | 0 | 57796.47177 | 39245.36555 | 33604.24332 | 31708.04604 | 30970.63599 | |
| 158 | 0 | 0 | 58902.54109 | 39673.67716 | 33831.63662 | 32028.36995 | 31327.09959 | |
| 159 | 0 | 0 | 59493.4763 | 39828.77611 | 33857.67669 | 32331.95406 | 31738.61748 | |
| 160 | 0 | 0 | 60940.44116 | 39933.46154 | 34254.54893 | 32447.89102 | 31745.30184 | |
| 161 | 0 | 0 | 60974.22484 | 40310.96555 | 34289.63718 | 32617.08433 | 31966.64711 | |
| 162 | 0 | 0 | 61493.34738 | 40892.2253 | 34815.90297 | 32766.62007 | 31969.67672 | |
| 163 | 0 | 0 | 62752.35451 | 41131.14404 | 35024.05937 | 33133.72753 | 32398.59847 | |
| 164 | 0 | 0 | 63617.93971 | 41234.36296 | 35116.98295 | 33364.96867 | 32683.62978 | |
| 165 | 0 | 0 | 65195.11233 | 41527.134 | 35184.18183 | 33580.95834 | 32957.48254 | |
| 166 | 0 | 0 | 67343.38636 | 41721.6976 | 35572.41837 | 33641.29638 | 32890.30449 | |
| 167 | 0 | 0 | 69100.39992 | 42234.89865 | 35671.516 | 33887.65693 | 33193.93396 | |
| 168 | 0 | 0 | 69691.54494 | 42432.71655 | 35921.92437 | 33951.17964 | 33184.77892 | |
| 169 | 0 | 0 | 70048.38527 | 42730.4929 | 36291.55506 | 34377.25071 | 33632.79902 | |
| 170 | 0 | 0 | 71205.55473 | 42841.57591 | 36491.25888 | 34464.82498 | 33676.76735 | |
| 171 | 0 | 0 | 71845.28571 | 43182.85849 | 36603.16907 | 34726.43328 | 33996.59159 | |
| 172 | 0 | 0 | 72249.83553 | 43694.85273 | 36868.62718 | 34845.11659 | 34058.19581 | |
| 173 | 0 | 0 | 73500.16134 | 44011.7976 | 37096.78681 | 35169.93578 | 34420.60483 | |
| 174 | 0 | 0 | 76992.78118 | 44273.16679 | 37273.64739 | 35236.47749 | 34444.24475 | |
| 175 | 0 | 0 | 0 | 44545.25447 | 37710.52377 | 35645.47992 | 34842.40731 | |
| 176 | 0 | 0 | 0 | 44829.97969 | 37741.99687 | 35694.46644 | 34898.2046 | |
| 177 | 0 | 0 | 0 | 45138.48525 | 38017.70111 | 36008.75494 | 35227.4981 | |
| 178 | 0 | 0 | 0 | 45585.05863 | 38136.06562 | 36073.16415 | 35270.92469 | |
| 179 | 0 | 0 | 0 | 45672.72685 | 38143.65952 | 36318.72666 | 35609.03055 | |
| 180 | 0 | 0 | 0 | 45743.61553 | 38643.35895 | 36421.4084 | 35557.31652 | |
| 181 | 0 | 0 | 0 | 46484.26518 | 38978.38792 | 36506.80495 | 35545.6338 | |
| 182 | 0 | 0 | 0 | 46591.22929 | 39181.36275 | 37013.35371 | 36170.23909 | |
| 183 | 0 | 0 | 0 | 46781.1417 | 39393.03409 | 37205.1629 | 36354.3241 | |
| 184 | 0 | 0 | 0 | 47312.17804 | 39454.36886 | 37434.79463 | 36649.40465 | |
| 185 | 0 | 0 | 0 | 47703.14076 | 39640.64242 | 37522.26182 | 36698.44714 | |
| 186 | 0 | 0 | 0 | 48108.87128 | 39965.77059 | 37723.93501 | 36852.11006 | |
| 187 | 0 | 0 | 0 | 48356.99275 | 40214.0941 | 37812.66277 | 36878.77281 | |
| 188 | 0 | 0 | 0 | 48527.3845 | 40392.80811 | 38052.33551 | 37142.15173 | |
| 189 | 0 | 0 | 0 | 48671.04449 | 40728.07335 | 38359.01126 | 37437.70934 | |
| 190 | 0 | 0 | 0 | 48975.52008 | 40856.91606 | 38539.479 | 37638.25348 | |
| 191 | 0 | 0 | 0 | 49373.31774 | 41104.51377 | 38759.75514 | 37847.90456 | |
| 192 | 0 | 0 | 0 | 49782.75271 | 41419.96794 | 38854.38278 | 37856.65521 | |
| 193 | 0 | 0 | 0 | 49857.93716 | 41653.70645 | 39153.06838 | 38180.59802 | |
| 194 | 0 | 0 | 0 | 50341.45112 | 41783.24503 | 39389.36929 | 38458.41762 | |
| 195 | 0 | 0 | 0 | 50885.47435 | 41963.05079 | 39713.65189 | 38838.88565 | |
| 196 | 0 | 0 | 0 | 51330.58312 | 42295.58841 | 39871.712 | 38929.0934 | |
| 197 | 0 | 0 | 0 | 51419.97064 | 42383.00545 | 39919.65724 | 38961.68849 | |
| 198 | 0 | 0 | 0 | 51563.24043 | 42615.5152 | 40104.24609 | 39127.64144 | |
| 199 | 0 | 0 | 0 | 51971.18573 | 42899.95817 | 40286.34049 | 39269.93361 | |
| 200 | 0 | 0 | 0 | 52135.16303 | 43144.7827 | 40535.2472 | 39520.42784 |
| Triangle 2 | ||||||||
|---|---|---|---|---|---|---|---|---|
| Refinement | ||||||||
| # | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
| 1 | 67.81104751 | 66.25818495 | 65.86577879 | 65.76634 | 65.74112393 | 65.73472217 | 65.73262226 | |
| 2 | 174.7296998 | 165.466029 | 163.1633917 | 162.5866426 | 162.4421987 | 162.4060398 | 162.3941789 | |
| 3 | 238.9513541 | 221.7605724 | 217.5338153 | 216.4778548 | 216.2128509 | 216.1462528 | 216.1244072 | |
| 4 | 355.8578215 | 321.1427962 | 312.559749 | 310.4218753 | 309.8870665 | 309.7531463 | 309.7092176 | |
| 5 | 410.9004232 | 366.3268442 | 355.3666766 | 352.6442579 | 351.9641677 | 351.794042 | 351.7382371 | |
| 6 | 565.2175701 | 485.4272001 | 465.7283946 | 460.8457404 | 459.6260896 | 459.3208771 | 459.2207608 | |
| 7 | 611.0066171 | 528.8576908 | 507.7444266 | 502.4571636 | 501.1342006 | 500.8032962 | 500.6947524 | |
| 8 | 720.3686407 | 599.9903162 | 570.5409211 | 563.2858569 | 561.4757429 | 561.0225388 | 560.8738782 | |
| 9 | 819.3035296 | 676.6243537 | 640.5918217 | 631.6532571 | 629.4209825 | 628.8627559 | 628.6796456 | |
| 10 | 1000.266209 | 792.8232283 | 741.7956063 | 729.3301072 | 726.231204 | 725.4574278 | 725.2036127 | |
| 11 | 1092.026448 | 865.8676366 | 807.4570062 | 793.063381 | 789.4752891 | 788.5783012 | 788.28407 | |
| 12 | 1140.639693 | 898.7301096 | 838.4138416 | 823.6933067 | 820.0367676 | 819.1240519 | 818.8246617 | |
| 13 | 1329.71884 | 1007.819427 | 925.5629151 | 905.6628416 | 900.7270521 | 899.4939018 | 899.0894022 | |
| 14 | 1397.492277 | 1105.92151 | 1015.520966 | 992.8315808 | 987.1712515 | 985.7564983 | 985.2924289 | |
| 15 | 1483.560783 | 1136.44827 | 1043.586187 | 1021.442659 | 1015.961289 | 1014.593943 | 1014.145424 | |
| 16 | 1646.658184 | 1255.170577 | 1139.550785 | 1111.736982 | 1104.851192 | 1103.133355 | 1102.569867 | |
| 17 | 1836.046307 | 1344.950931 | 1214.011028 | 1182.518166 | 1174.723757 | 1172.778999 | 1172.141076 | |
| 18 | 1881.251275 | 1411.514094 | 1272.811979 | 1238.994358 | 1230.609414 | 1228.517525 | 1227.83134 | |
| 19 | 2083.07976 | 1508.379386 | 1350.146257 | 1311.536882 | 1301.957453 | 1299.566859 | 1298.782693 | |
| 20 | 2094.178819 | 1589.247968 | 1415.195759 | 1373.764894 | 1363.541476 | 1360.991856 | 1360.155526 | |
| 21 | 2229.497203 | 1694.419514 | 1495.417703 | 1446.927428 | 1434.901021 | 1431.899453 | 1430.914875 | |
| 22 | 2307.676319 | 1717.761556 | 1529.450561 | 1483.007571 | 1471.476871 | 1468.599214 | 1467.65528 | |
| 23 | 2493.861601 | 1838.287789 | 1614.298129 | 1560.012579 | 1546.585641 | 1543.236638 | 1542.138093 | |
| 24 | 2764.279315 | 1967.459503 | 1709.282818 | 1646.558727 | 1631.034896 | 1627.161848 | 1625.891405 | |
| 25 | 2928.820533 | 2007.614694 | 1764.778101 | 1705.043295 | 1690.180872 | 1686.46884 | 1685.251214 | |
| 26 | 3074.788362 | 2100.066074 | 1817.2223 | 1749.807906 | 1733.256458 | 1729.137738 | 1727.78671 | |
| 27 | 3202.982003 | 2218.642134 | 1905.280998 | 1829.445001 | 1810.766298 | 1806.114488 | 1804.588594 | |
| 28 | 3308.504795 | 2303.462084 | 1993.404125 | 1916.540655 | 1897.420294 | 1892.643617 | 1891.076764 | |
| 29 | 3689.701634 | 2415.037471 | 2066.919183 | 1980.758622 | 1959.425512 | 1954.106417 | 1952.36164 | |
| 30 | 3965.043662 | 2472.413257 | 2109.08616 | 2020.934416 | 1999.192547 | 1993.773124 | 1991.995438 | |
| 31 | 4903.428826 | 2544.670462 | 2168.059405 | 2075.200617 | 2052.144848 | 2046.39067 | 2044.503176 | |
| 32 | 0 | 2665.229796 | 2243.994693 | 2142.286054 | 2117.29484 | 2111.071729 | 2109.030416 | |
| 33 | 0 | 2774.166896 | 2322.653186 | 2212.635708 | 2185.546456 | 2178.798671 | 2176.585253 | |
| 34 | 0 | 2889.970967 | 2418.960596 | 2302.29584 | 2273.313875 | 2266.07773 | 2263.70412 | |
| 35 | 0 | 2982.8339 | 2474.096908 | 2352.106345 | 2322.211004 | 2314.776363 | 2312.337641 | |
| 36 | 0 | 3053.251155 | 2539.688982 | 2413.191584 | 2381.899762 | 2374.097903 | 2371.538727 | |
| 37 | 0 | 3210.150957 | 2647.259134 | 2509.697419 | 2475.742923 | 2467.279031 | 2464.502693 | |
| 38 | 0 | 3263.288088 | 2703.406811 | 2564.53269 | 2530.076536 | 2521.47649 | 2518.655491 | |
| 39 | 0 | 3385.319577 | 2765.229021 | 2612.961035 | 2575.430116 | 2566.08331 | 2563.017357 | |
| 40 | 0 | 3474.991499 | 2829.983423 | 2671.596471 | 2632.733222 | 2623.063062 | 2619.891042 | |
| 41 | 0 | 3529.592647 | 2882.112523 | 2723.047496 | 2683.837129 | 2674.07048 | 2670.86681 | |
| 42 | 0 | 3702.819363 | 2994.408714 | 2819.82469 | 2777.093886 | 2766.464212 | 2762.977452 | |
| 43 | 0 | 3832.781949 | 3061.378752 | 2868.939647 | 2821.586064 | 2809.801651 | 2805.936111 | |
| 44 | 0 | 3843.062408 | 3147.005591 | 2964.436629 | 2918.707368 | 2907.260384 | 2903.505528 | |
| 45 | 0 | 3963.256406 | 3218.179491 | 3025.604551 | 2977.89579 | 2965.999085 | 2962.096711 | |
| 46 | 0 | 4085.229786 | 3275.296236 | 3066.269247 | 3015.199263 | 3002.519681 | 2998.360507 | |
| 47 | 0 | 4102.583089 | 3316.416237 | 3114.887946 | 3064.469733 | 3051.846506 | 3047.705817 | |
| 48 | 0 | 4298.736415 | 3410.611664 | 3182.436069 | 3126.982481 | 3113.24303 | 3108.736196 | |
| 49 | 0 | 4407.202948 | 3532.983068 | 3302.63196 | 3245.139989 | 3230.73929 | 3226.015553 | |
| 50 | 0 | 4505.073644 | 3565.038157 | 3322.009723 | 3262.772649 | 3248.105734 | 3243.294672 | |
| 51 | 0 | 4619.795799 | 3668.645152 | 3422.124772 | 3361.786864 | 3346.783149 | 3341.861609 | |
| 52 | 0 | 4730.848645 | 3726.129194 | 3459.448868 | 3393.563935 | 3377.158003 | 3371.776506 | |
| 53 | 0 | 4817.497081 | 3827.40507 | 3572.924267 | 3509.404006 | 3493.392787 | 3488.140764 | |
| 54 | 0 | 4929.761544 | 3865.180954 | 3583.263871 | 3513.403836 | 3496.110422 | 3490.437811 | |
| 55 | 0 | 5024.201529 | 3961.844769 | 3671.256898 | 3599.995351 | 3582.271011 | 3576.457048 | |
| 56 | 0 | 5162.00256 | 4016.263661 | 3713.371481 | 3638.975774 | 3620.474598 | 3614.405816 | |
| 57 | 0 | 5232.742674 | 4095.440092 | 3795.184397 | 3721.479672 | 3703.15046 | 3697.138086 | |
| 58 | 0 | 5378.741756 | 4178.184282 | 3852.866946 | 3773.765023 | 3754.150789 | 3747.7169 | |
| 59 | 0 | 5454.724278 | 4259.229325 | 3918.788785 | 3834.477318 | 3813.493201 | 3806.609961 | |
| 60 | 0 | 5674.037201 | 4321.718 | 3965.083187 | 3878.709763 | 3857.304219 | 3850.282742 | |
| 61 | 0 | 5803.461323 | 4449.002458 | 4097.645276 | 4010.595533 | 3988.708818 | 3981.529507 | |
| 62 | 0 | 5835.393314 | 4526.48173 | 4134.147058 | 4038.732948 | 4015.302574 | 4007.616909 | |
| 63 | 0 | 5977.571743 | 4602.751529 | 4219.685048 | 4125.959077 | 4102.668912 | 4095.029239 | |
| 64 | 0 | 6022.629322 | 4638.574553 | 4270.983981 | 4180.902389 | 4158.476378 | 4151.120167 | |
| 65 | 0 | 6072.576818 | 4688.560651 | 4299.023187 | 4203.606733 | 4179.949128 | 4172.188927 | |
| 66 | 0 | 6194.566145 | 4791.608799 | 4379.065959 | 4278.911529 | 4254.027682 | 4245.865248 | |
| 67 | 0 | 6360.24174 | 4890.581846 | 4472.164288 | 4369.366032 | 4343.786597 | 4335.395994 | |
| 68 | 0 | 6401.758251 | 4979.658621 | 4526.224978 | 4414.173139 | 4386.301278 | 4377.158711 | |
| 69 | 0 | 6525.663235 | 5011.422713 | 4569.612409 | 4463.15587 | 4436.835853 | 4428.202324 | |
| 70 | 0 | 6642.434666 | 5139.915502 | 4668.810908 | 4552.443607 | 4523.464341 | 4513.958521 | |
| 71 | 0 | 6821.254926 | 5231.45161 | 4738.80519 | 4618.572553 | 4588.674348 | 4578.867096 | |
| 72 | 0 | 6859.394641 | 5289.503331 | 4792.577118 | 4670.252587 | 4639.95321 | 4630.014365 | |
| 73 | 0 | 6930.354647 | 5347.83784 | 4840.213218 | 4715.759358 | 4684.858081 | 4674.721801 | |
| 74 | 0 | 7141.130965 | 5435.30082 | 4907.711616 | 4780.295302 | 4748.65891 | 4738.281496 | |
| 75 | 0 | 7301.329279 | 5513.600475 | 5008.151344 | 4880.273561 | 4848.105189 | 4837.553274 | |
| 76 | 0 | 7361.990177 | 5559.521232 | 5028.970282 | 4904.365756 | 4873.885145 | 4863.886852 | |
| 77 | 0 | 7527.15109 | 5677.250544 | 5118.590301 | 4984.97808 | 4951.939903 | 4941.102674 | |
| 78 | 0 | 7539.499765 | 5801.482497 | 5230.413311 | 5086.911917 | 5050.877978 | 5039.058075 | |
| 79 | 0 | 7711.892651 | 5828.839165 | 5246.484612 | 5103.605515 | 5068.270836 | 5056.680305 | |
| 80 | 0 | 7979.25343 | 5893.051902 | 5280.270131 | 5134.511506 | 5098.570179 | 5086.780655 | |
| 81 | 0 | 8013.621115 | 6046.738093 | 5418.488261 | 5263.69097 | 5225.262356 | 5212.656947 | |
| 82 | 0 | 8057.337706 | 6125.665686 | 5460.785376 | 5296.332272 | 5255.440237 | 5242.026774 | |
| 83 | 0 | 8162.394039 | 6181.241827 | 5551.571896 | 5399.344024 | 5361.163792 | 5348.639859 | |
| 84 | 0 | 8269.774941 | 6254.498351 | 5590.669481 | 5425.724536 | 5385.188107 | 5371.89129 | |
| 85 | 0 | 8357.700315 | 6316.268334 | 5646.71254 | 5481.474903 | 5440.343006 | 5426.850863 | |
| 86 | 0 | 8470.995251 | 6437.853612 | 5738.44053 | 5567.783595 | 5525.518579 | 5511.65475 | |
| 87 | 0 | 8502.894759 | 6468.123305 | 5787.087226 | 5620.958371 | 5579.168068 | 5565.459954 | |
| 88 | 0 | 8641.383694 | 6556.308091 | 5823.949593 | 5649.891382 | 5607.464621 | 5593.547735 | |
| 89 | 0 | 8776.970693 | 6659.717838 | 5924.583593 | 5747.070746 | 5703.058988 | 5688.62219 | |
| 90 | 0 | 8987.577994 | 6771.70093 | 5986.940059 | 5794.475491 | 5746.830832 | 5731.202364 | |
| 91 | 0 | 9040.179206 | 6811.746248 | 6065.621711 | 5881.240059 | 5835.27979 | 5820.203838 | |
| 92 | 0 | 9115.684417 | 6906.202318 | 6116.461602 | 5921.50295 | 5872.86527 | 5856.91107 | |
| 93 | 0 | 9233.899143 | 7039.501648 | 6210.96653 | 6007.378823 | 5957.165395 | 5940.694315 | |
| 94 | 0 | 9367.125997 | 7174.973873 | 6304.343873 | 6089.46834 | 6035.929706 | 6018.367887 | |
| 95 | 0 | 9435.544348 | 7194.011354 | 6329.997547 | 6119.331794 | 6067.19147 | 6050.088328 | |
| 96 | 0 | 9556.392924 | 7239.326678 | 6372.918082 | 6158.859117 | 6105.944669 | 6088.587597 | |
| 97 | 0 | 9594.023858 | 7290.922411 | 6461.899098 | 6252.39809 | 6199.153859 | 6181.688611 | |
| 98 | 0 | 9714.182813 | 7384.59417 | 6491.281258 | 6283.473973 | 6233.396129 | 6216.969524 | |
| 99 | 0 | 9908.365223 | 7524.257261 | 6621.03092 | 6407.58314 | 6354.431551 | 6336.996691 | |
| 100 | 0 | 9966.672408 | 7587.026486 | 6667.745989 | 6442.529574 | 6386.986775 | 6368.767548 | |
| 101 | 0 | 10061.60362 | 7688.58812 | 6748.373047 | 6515.299114 | 6457.525997 | 6438.575178 | |
| 102 | 0 | 10108.12338 | 7750.415807 | 6798.81069 | 6570.426925 | 6513.89663 | 6495.353483 | |
| 103 | 0 | 10189.3943 | 7844.269951 | 6879.986666 | 6642.719024 | 6583.856019 | 6564.547693 | |
| 104 | 0 | 10413.51302 | 7987.543386 | 6958.678824 | 6707.97569 | 6645.68153 | 6625.247712 | |
| 105 | 0 | 10542.12813 | 8044.617691 | 7011.322413 | 6754.653584 | 6690.553156 | 6669.526844 | |
| 106 | 0 | 10701.11681 | 8166.774296 | 7062.555091 | 6791.498412 | 6724.763272 | 6702.872718 | |
| 107 | 0 | 10764.54758 | 8233.675083 | 7173.13339 | 6907.161725 | 6841.33284 | 6819.739557 | |
| 108 | 0 | 11087.54029 | 8261.016609 | 7198.522644 | 6946.629248 | 6882.070171 | 6860.893411 | |
| 109 | 0 | 11191.60841 | 8363.619235 | 7239.633423 | 6956.750207 | 6888.699432 | 6866.377321 | |
| 110 | 0 | 11302.54318 | 8486.182527 | 7364.363375 | 7086.528645 | 7016.95339 | 6994.131218 | |
| 111 | 0 | 11346.21753 | 8525.449061 | 7412.434576 | 7142.286329 | 7075.6751 | 7053.825192 | |
| 112 | 0 | 11453.84067 | 8654.340838 | 7496.465651 | 7205.97318 | 7133.858015 | 7110.202697 | |
| 113 | 0 | 11766.02122 | 8717.39923 | 7524.994355 | 7239.796558 | 7169.58948 | 7146.560056 | |
| 114 | 0 | 12023.53119 | 8821.482358 | 7598.826965 | 7306.702135 | 7235.126956 | 7211.648765 | |
| 115 | 0 | 12143.76692 | 8875.264227 | 7686.386685 | 7397.40496 | 7326.011035 | 7302.5923 | |
| 116 | 0 | 12299.87205 | 8989.250923 | 7754.974732 | 7457.366388 | 7383.816667 | 7359.690784 | |
| 117 | 0 | 12495.86621 | 9087.903697 | 7846.916751 | 7537.356624 | 7459.913685 | 7434.510743 | |
| 118 | 0 | 12591.94009 | 9250.817665 | 7915.870905 | 7592.077357 | 7512.352883 | 7486.201549 | |
| 119 | 0 | 12658.94241 | 9304.731518 | 7985.864795 | 7654.08962 | 7571.20273 | 7544.014055 | |
| 120 | 0 | 12917.84869 | 9351.80261 | 8072.667476 | 7734.51677 | 7650.429961 | 7622.847687 | |
| 121 | 0 | 13092.67089 | 9436.944035 | 8088.518857 | 7766.942587 | 7686.936586 | 7660.692905 | |
| 122 | 0 | 13585.82149 | 9556.056151 | 8156.510063 | 7821.827949 | 7738.489961 | 7711.153317 | |
| 123 | 0 | 13860.5751 | 9654.486921 | 8215.768543 | 7861.065713 | 7774.773484 | 7746.467786 | |
| 124 | 0 | 14064.97283 | 9746.876669 | 8319.818389 | 7974.611011 | 7889.303665 | 7861.321029 | |
| 125 | 0 | 14241.21547 | 9797.310418 | 8359.518088 | 8006.480492 | 7919.55598 | 7891.04288 | |
| 126 | 0 | 14393.11252 | 9887.861208 | 8445.096225 | 8081.039664 | 7991.785023 | 7962.50759 | |
| 127 | 0 | 15532.42049 | 9968.445291 | 8477.078242 | 8134.131376 | 8049.576781 | 8021.841065 | |
| 128 | 0 | 15679.37219 | 10094.37701 | 8586.805541 | 8220.947071 | 8130.081601 | 8100.275782 | |
| 129 | 0 | 16125.76885 | 10222.3179 | 8698.543306 | 8320.434286 | 8225.792331 | 8194.747743 | |
| 130 | 0 | 16681.55613 | 10279.39718 | 8760.757939 | 8364.249966 | 8263.950202 | 8231.049732 | |
| 131 | 0 | 16827.43814 | 10380.42296 | 8777.38956 | 8387.886742 | 8294.862954 | 8264.34916 | |
| 132 | 0 | 16872.55209 | 10535.74318 | 8820.286382 | 8430.472479 | 8335.415266 | 8304.234465 | |
| 133 | 0 | 17783.58824 | 10555.01928 | 8942.620597 | 8552.060716 | 8455.996918 | 8424.485936 | |
| 134 | 0 | 18525.9988 | 10653.04295 | 9001.111267 | 8592.044929 | 8490.749382 | 8457.522275 | |
| 135 | 0 | 21328.3572 | 10727.45542 | 9045.74174 | 8619.714294 | 8513.247235 | 8478.323761 | |
| 136 | 0 | 23059.61959 | 10840.29346 | 9138.482637 | 8726.166604 | 8623.608846 | 8589.967706 | |
| 137 | 0 | 0 | 10879.88708 | 9207.885855 | 8789.589318 | 8683.616093 | 8648.854606 | |
| 138 | 0 | 0 | 10995.26088 | 9271.803142 | 8837.6358 | 8732.037164 | 8697.398551 | |
| 139 | 0 | 0 | 11150.52089 | 9358.519673 | 8910.924784 | 8802.525146 | 8766.967745 | |
| 140 | 0 | 0 | 11219.16467 | 9424.433521 | 8989.98762 | 8881.764909 | 8846.265544 | |
| 141 | 0 | 0 | 11300.04942 | 9490.316187 | 9040.052646 | 8929.412775 | 8893.12053 | |
| 142 | 0 | 0 | 11374.44265 | 9530.678977 | 9095.847519 | 8988.520828 | 8953.315377 | |
| 143 | 0 | 0 | 11459.27923 | 9618.476317 | 9169.579209 | 9058.605915 | 9022.204299 | |
| 144 | 0 | 0 | 11612.82521 | 9690.311033 | 9218.574409 | 9102.575679 | 9064.525613 | |
| 145 | 0 | 0 | 11713.24974 | 9780.002598 | 9311.049707 | 9196.079806 | 9158.367217 | |
| 146 | 0 | 0 | 11779.02137 | 9846.080732 | 9373.050528 | 9256.041197 | 9217.659631 | |
| 147 | 0 | 0 | 11861.58167 | 9899.140779 | 9416.811362 | 9297.609322 | 9258.508502 | |
| 148 | 0 | 0 | 11979.99317 | 9992.71711 | 9490.775023 | 9365.579777 | 9324.513057 | |
| 149 | 0 | 0 | 12125.89623 | 10071.78952 | 9571.250381 | 9447.575001 | 9407.006829 | |
| 150 | 0 | 0 | 12221.87324 | 10151.69958 | 9622.91872 | 9489.818134 | 9446.158293 | |
| 151 | 0 | 0 | 12282.56946 | 10180.27442 | 9660.922907 | 9574.452103 | 9506.247186 | |
| 152 | 0 | 0 | 12385.99485 | 10226.27453 | 9702.532449 | 9658.930372 | 9532.439008 | |
| 153 | 0 | 0 | 12464.1001 | 10309.65341 | 9789.164404 | 9710.682226 | 9616.210822 | |
| 154 | 0 | 0 | 12497.35354 | 10374.00481 | 9842.249244 | 9761.946924 | 9667.525428 | |
| 155 | 0 | 0 | 12659.83779 | 10436.29137 | 9891.65413 | 9878.861013 | 9719.400184 | |
| 156 | 0 | 0 | 12724.80057 | 10551.49768 | 10012.87478 | 9931.992223 | 9834.901628 | |
| 157 | 0 | 0 | 12827.99482 | 10649.95318 | 10078.27753 | 9991.378668 | 9884.00751 | |
| 158 | 0 | 0 | 12855.37656 | 10667.47375 | 10124.9401 | 10022.09239 | 9947.567659 | |
| 159 | 0 | 0 | 13089.65223 | 10743.69227 | 10160.69817 | 10112.74999 | 9976.62673 | |
| 160 | 0 | 0 | 13219.65198 | 10806.81433 | 10249.43138 | 10220.13116 | 10067.91556 | |
| 161 | 0 | 0 | 13291.9441 | 10945.44248 | 10364.8876 | 10225.04342 | 10172.64795 | |
| 162 | 0 | 0 | 13349.6939 | 10962.6009 | 10369.18484 | 10290.51388 | 10177.76195 | |
| 163 | 0 | 0 | 13412.43391 | 11036.64833 | 10438.51511 | 10345.90786 | 10241.9663 | |
| 164 | 0 | 0 | 13462.24268 | 11090.88599 | 10494.89775 | 10383.58939 | 10297.03598 | |
| 165 | 0 | 0 | 13649.45867 | 11132.27684 | 10530.96671 | 10479.73437 | 10335.24647 | |
| 166 | 0 | 0 | 13715.91636 | 11224.37177 | 10626.96464 | 10550.9023 | 10431.43969 | |
| 167 | 0 | 0 | 13745.72828 | 11326.30563 | 10707.30786 | 10597.76364 | 10499.59793 | |
| 168 | 0 | 0 | 14004.99551 | 11386.94012 | 10749.73154 | 10652.1778 | 10547.91491 | |
| 169 | 0 | 0 | 14051.83013 | 11490.24586 | 10818.41296 | 10734.94052 | 10597.64911 | |
| 170 | 0 | 0 | 14145.21394 | 11548.43844 | 10898.11327 | 10805.82317 | 10681.41637 | |
| 171 | 0 | 0 | 14236.1485 | 11616.14478 | 10965.25557 | 10874.30772 | 10753.52593 | |
| 172 | 0 | 0 | 14351.12053 | 11706.51093 | 11038.46012 | 10916.30957 | 10820.46223 | |
| 173 | 0 | 0 | 14402.65371 | 11757.58328 | 11083.68479 | 10932.70992 | 10861.40691 | |
| 174 | 0 | 0 | 14578.18546 | 11806.06478 | 11104.13382 | 11004.81478 | 10876.47921 | |
| 175 | 0 | 0 | 14595.04231 | 11825.89502 | 11165.967 | 11087.04152 | 10951.9534 | |
| 176 | 0 | 0 | 14720.94109 | 11944.20395 | 11256.94794 | 11172.54113 | 11031.30857 | |
| 177 | 0 | 0 | 14804.66378 | 12013.59753 | 11337.72532 | 11214.62087 | 11118.35718 | |
| 178 | 0 | 0 | 14938.14728 | 12124.10815 | 11397.90307 | 11280.9299 | 11154.50038 | |
| 179 | 0 | 0 | 15010.28068 | 12177.04273 | 11454.6346 | 11364.04077 | 11223.95103 | |
| 180 | 0 | 0 | 15152.99251 | 12271.68192 | 11545.80253 | 11407.37501 | 11304.41902 | |
| 181 | 0 | 0 | 15280.80858 | 12305.50983 | 11587.4419 | 11419.00642 | 11348.30921 | |
| 182 | 0 | 0 | 15303.59874 | 12338.97398 | 11596.49539 | 11589.70988 | 11360.78624 | |
| 183 | 0 | 0 | 15358.05429 | 12487.69312 | 11772.43269 | 11599.62422 | 11529.77288 | |
| 184 | 0 | 0 | 15581.6022 | 12557.28531 | 11786.41551 | 11631.44193 | 11538.35267 | |
| 185 | 0 | 0 | 15694.1462 | 12599.00145 | 11819.31989 | 11668.75804 | 11569.81394 | |
| 186 | 0 | 0 | 15798.70172 | 12685.72263 | 11867.86102 | 11781.83035 | 11603.448 | |
| 187 | 0 | 0 | 15852.92914 | 12751.56483 | 11973.48705 | 11838.27544 | 11718.96285 | |
| 188 | 0 | 0 | 15871.97604 | 12833.53308 | 12039.03397 | 11919.52108 | 11772.42234 | |
| 189 | 0 | 0 | 15939.77084 | 12876.0129 | 12117.3115 | 11944.67231 | 11854.64159 | |
| 190 | 0 | 0 | 16030.34096 | 12960.60972 | 12137.55047 | 12020.98227 | 11881.40415 | |
| 191 | 0 | 0 | 16301.81076 | 13015.04321 | 12213.96405 | 12092.11983 | 11957.68011 | |
| 192 | 0 | 0 | 16380.40928 | 13128.88996 | 12301.33786 | 12179.84702 | 12023.49183 | |
| 193 | 0 | 0 | 16445.12525 | 13226.59168 | 12384.32248 | 12244.07599 | 12112.77469 | |
| 194 | 0 | 0 | 16550.91932 | 13269.34289 | 12449.71866 | 12294.44733 | 12176.62079 | |
| 195 | 0 | 0 | 16578.50356 | 13349.01048 | 12500.0439 | 12322.81245 | 12227.00726 | |
| 196 | 0 | 0 | 16727.34285 | 13385.32768 | 12536.31352 | 12354.20096 | 12252.77952 | |
| 197 | 0 | 0 | 16927.20855 | 13440.69915 | 12566.16136 | 12449.88616 | 12284.67341 | |
| 198 | 0 | 0 | 16955.73766 | 13504.4137 | 12656.03489 | 12522.90181 | 12382.26497 | |
| 199 | 0 | 0 | 17043.17576 | 13584.44282 | 12730.80568 | 12546.98467 | 12454.70488 | |
| 200 | 0 | 0 | 17237.28704 | 13687.49084 | 12770.97148 | 12637.97888 | 12473.5122 | |
| 201 | 0 | 0 | 17320.54101 | 13809.95775 | 12875.38951 | 12731.52104 | 12560.10312 | |
| 202 | 0 | 0 | 17357.40619 | 13865.7077 | 12949.47801 | 12770.27618 | 12660.02648 | |
| 203 | 0 | 0 | 17513.26001 | 13898.88832 | 12994.14542 | 12821.2483 | 12696.84228 | |
| 204 | 0 | 0 | 17597.40366 | 14000.40159 | 13054.6717 | 12907.08742 | 12744.68043 | |
| 205 | 0 | 0 | 17705.61765 | 14080.54188 | 13138.35918 | 12959.33754 | 12831.22533 | |
| 206 | 0 | 0 | 17776.45808 | 14176.60109 | 13206.6524 | 13001.42882 | 12878.21298 | |
| 207 | 0 | 0 | 17886.28053 | 14197.62206 | 13236.73046 | 13089.73211 | 12924.24485 | |
| 208 | 0 | 0 | 18054.0289 | 14265.19611 | 13322.74377 | 13121.10704 | 13013.2993 | |
| 209 | 0 | 0 | 18099.88275 | 14348.02243 | 13357.7182 | 13206.77756 | 13043.49352 | |
| 210 | 0 | 0 | 18241.9856 | 14415.5423 | 13447.39818 | 13245.40191 | 13127.84884 | |
| 211 | 0 | 0 | 18319.30663 | 14475.21273 | 13501.26901 | 13275.33003 | 13161.47202 | |
| 212 | 0 | 0 | 18373.73246 | 14551.91722 | 13513.90234 | 13419.58838 | 13197.0732 | |
| 213 | 0 | 0 | 18473.01477 | 14673.42969 | 13667.05003 | 13448.92951 | 13338.41566 | |
| 214 | 0 | 0 | 18594.32901 | 14689.05953 | 13696.84034 | 13496.99258 | 13367.60945 | |
| 215 | 0 | 0 | 18698.18227 | 14727.20297 | 13736.38543 | 13555.56567 | 13418.4666 | |
| 216 | 0 | 0 | 18845.93728 | 14839.86883 | 13812.99701 | 13644.53733 | 13471.12269 | |
| 217 | 0 | 0 | 18955.51535 | 14954.3632 | 13898.75715 | 13724.63289 | 13561.14779 | |
| 218 | 0 | 0 | 19067.60838 | 15062.32885 | 13984.58061 | 13756.5357 | 13639.36448 | |
| 219 | 0 | 0 | 19196.57497 | 15112.96731 | 14023.37462 | 13856.58772 | 13669.00682 | |
| 220 | 0 | 0 | 19221.39519 | 15200.55658 | 14126.03467 | 13890.47273 | 13768.20335 | |
| 221 | 0 | 0 | 19374.03546 | 15240.38453 | 14158.14188 | 13933.12053 | 13802.67151 | |
| 222 | 0 | 0 | 19472.43147 | 15290.99336 | 14193.76441 | 14023.4044 | 13847.62376 | |
| 223 | 0 | 0 | 19576.62457 | 15364.72701 | 14299.49637 | 14039.45835 | 13932.84032 | |
| 224 | 0 | 0 | 19720.34907 | 15456.8885 | 14314.95786 | 14090.01395 | 13949.08861 | |
| 225 | 0 | 0 | 19747.13267 | 15544.79556 | 14368.65415 | 14211.62874 | 13998.614 | |
| 226 | 0 | 0 | 19850.32649 | 15604.16495 | 14493.86615 | 14275.92192 | 14119.04883 | |
| 227 | 0 | 0 | 19916.58236 | 15704.50481 | 14561.75844 | 14335.41664 | 14182.16142 | |
| 228 | 0 | 0 | 20056.25623 | 15768.34007 | 14623.22009 | 14371.83929 | 14241.01095 | |
| 229 | 0 | 0 | 20162.64268 | 15810.00145 | 14655.34449 | 14415.34462 | 14278.84351 | |
| 230 | 0 | 0 | 20230.87243 | 15919.10867 | 14712.31762 | 14475.46778 | 14317.93113 | |
| 231 | 0 | 0 | 20312.38071 | 15947.21156 | 14768.9807 | 14583.20062 | 14379.18927 | |
| 232 | 0 | 0 | 20484.8844 | 16070.88952 | 14866.96338 | 14643.3863 | 14490.12036 | |
| 233 | 0 | 0 | 20701.2019 | 16112.15689 | 14933.08532 | 14668.79848 | 14548.35882 | |
| 234 | 0 | 0 | 20788.11201 | 16192.72351 | 14968.17507 | 14706.19646 | 14570.59655 | |
| 235 | 0 | 0 | 20832.22717 | 16234.61979 | 15007.78579 | 14769.62287 | 14607.2687 | |
| 236 | 0 | 0 | 20966.32154 | 16325.8041 | 15075.59529 | 14849.53491 | 14669.25737 | |
| 237 | 0 | 0 | 21039.28342 | 16411.14328 | 15150.55284 | 14965.93297 | 14750.79459 | |
| 238 | 0 | 0 | 21211.02886 | 16489.96597 | 15264.18841 | 15003.91164 | 14868.09881 | |
| 239 | 0 | 0 | 21271.52753 | 16571.4218 | 15321.70352 | 15079.08326 | 14899.66911 | |
| 240 | 0 | 0 | 21391.88396 | 16666.27512 | 15393.39026 | 15115.14815 | 14975.98383 | |
| 241 | 0 | 0 | 21460.75659 | 16770.24753 | 15438.16776 | 15173.84132 | 15009.1908 | |
| 242 | 0 | 0 | 21628.13935 | 16832.05988 | 15498.31198 | 15247.92124 | 15067.408 | |
| 243 | 0 | 0 | 21796.93024 | 16866.54135 | 15570.10425 | 15328.65426 | 15142.23832 | |
| 244 | 0 | 0 | 21817.393 | 16975.30298 | 15644.826 | 15391.3464 | 15224.94316 | |
| 245 | 0 | 0 | 22017.30706 | 17089.62311 | 15728.77784 | 15470.97122 | 15280.66167 | |
| 246 | 0 | 0 | 22053.56573 | 17118.77049 | 15807.23017 | 15492.71135 | 15360.67109 | |
| 247 | 0 | 0 | 22106.34248 | 17170.4748 | 15821.8559 | 15500.93346 | 15384.7449 | |
| 248 | 0 | 0 | 22318.96169 | 17251.11392 | 15839.67668 | 15619.4766 | 15389.81843 | |
| 249 | 0 | 0 | 22373.44459 | 17325.35582 | 15955.80559 | 15685.01369 | 15509.15349 | |
| 250 | 0 | 0 | 22430.38091 | 17341.29595 | 16009.41609 | 15686.87157 | 15573.39542 | |
| 251 | 0 | 0 | 22490.56838 | 17431.61069 | 16032.81287 | 15787.56933 | 15578.60276 | |
| 252 | 0 | 0 | 22567.04097 | 17446.86082 | 16122.00194 | 15850.12813 | 15677.86827 | |
| 253 | 0 | 0 | 22666.64577 | 17647.9448 | 16205.262 | 15945.226 | 15733.63662 | |
| 254 | 0 | 0 | 22877.6482 | 17699.6784 | 16282.30713 | 15987.83753 | 15834.65617 | |
| 255 | 0 | 0 | 22941.22857 | 17816.8866 | 16348.54512 | 16046.89913 | 15869.51771 | |
| 256 | 0 | 0 | 23095.72036 | 17881.15162 | 16411.16951 | 16110.6842 | 15927.41065 | |
| 257 | 0 | 0 | 23221.63835 | 17966.34578 | 16477.4262 | 16203.73003 | 15990.38497 | |
| 258 | 0 | 0 | 23312.57405 | 18016.1426 | 16554.80949 | 16275.37608 | 16088.56845 | |
| 259 | 0 | 0 | 23563.66756 | 18123.37172 | 16640.35661 | 16294.2924 | 16155.65466 | |
| 260 | 0 | 0 | 23644.74891 | 18178.05814 | 16663.54362 | 16332.57884 | 16173.17009 | |
| 261 | 0 | 0 | 23667.70676 | 18259.63876 | 16705.57514 | 16379.84144 | 16210.22808 | |
| 262 | 0 | 0 | 23832.4578 | 18335.62318 | 16757.72067 | 16463.04434 | 16255.88897 | |
| 263 | 0 | 0 | 23875.93319 | 18368.53225 | 16842.43023 | 16558.61313 | 16338.59764 | |
| 264 | 0 | 0 | 0 | 18430.6129 | 16936.91989 | 16639.6842 | 16434.52041 | |
| 265 | 0 | 0 | 0 | 18522.2391 | 17010.75787 | 16656.84261 | 16517.96409 | |
| 266 | 0 | 0 | 0 | 18646.617 | 17058.11353 | 16714.70179 | 16525.21716 | |
| 267 | 0 | 0 | 0 | 18683.16716 | 17107.78712 | 16790.03751 | 16585.76139 | |
| 268 | 0 | 0 | 0 | 18748.30317 | 17169.17916 | 16847.73568 | 16665.67094 | |
| 269 | 0 | 0 | 0 | 18900.59604 | 17251.27028 | 16886.03428 | 16715.36769 | |
| 270 | 0 | 0 | 0 | 18927.4994 | 17279.5862 | 17003.03096 | 16756.94083 | |
| 271 | 0 | 0 | 0 | 18971.82125 | 17396.79197 | 17033.02822 | 16873.86892 | |
| 272 | 0 | 0 | 0 | 19061.4358 | 17436.66979 | 17108.30068 | 16900.62515 | |
| 273 | 0 | 0 | 0 | 19111.18977 | 17499.42284 | 17146.75108 | 16980.00424 | |
| 274 | 0 | 0 | 0 | 19240.41734 | 17559.48415 | 17186.7879 | 17011.3658 | |
| 275 | 0 | 0 | 0 | 19276.14796 | 17593.28601 | 17310.99266 | 17053.44782 | |
| 276 | 0 | 0 | 0 | 19397.954 | 17711.4306 | 17365.37054 | 17179.64044 | |
| 277 | 0 | 0 | 0 | 19433.69643 | 17778.87705 | 17393.9963 | 17229.73156 | |
| 278 | 0 | 0 | 0 | 19536.32057 | 17830.51205 | 17449.48713 | 17250.8098 | |
| 279 | 0 | 0 | 0 | 19639.82019 | 17865.94708 | 17520.8067 | 17312.87935 | |
| 280 | 0 | 0 | 0 | 19695.2093 | 17956.07513 | 17627.8697 | 17378.02933 | |
| 281 | 0 | 0 | 0 | 19791.15522 | 18038.16274 | 17692.50374 | 17493.28479 | |
| 282 | 0 | 0 | 0 | 19824.84338 | 18119.62721 | 17728.50102 | 17552.3981 | |
| 283 | 0 | 0 | 0 | 20006.82251 | 18172.006 | 17777.17908 | 17583.02189 | |
| 284 | 0 | 0 | 0 | 20059.57337 | 18233.5396 | 17873.86743 | 17627.48306 | |
| 285 | 0 | 0 | 0 | 20127.82582 | 18314.14157 | 17945.02699 | 17729.44808 | |
| 286 | 0 | 0 | 0 | 20251.13177 | 18395.5623 | 17995.02149 | 17797.24177 | |
| 287 | 0 | 0 | 0 | 20259.0536 | 18437.12409 | 18020.55244 | 17850.00238 | |
| 288 | 0 | 0 | 0 | 20279.72021 | 18478.31497 | 18084.82842 | 17870.39653 | |
| 289 | 0 | 0 | 0 | 20332.87314 | 18522.85033 | 18097.17347 | 17941.14786 | |
| 290 | 0 | 0 | 0 | 20440.39381 | 18556.63604 | 18208.74271 | 17946.45991 | |
| 291 | 0 | 0 | 0 | 20469.91765 | 18647.19894 | 18235.46113 | 18064.91968 | |
| 292 | 0 | 0 | 0 | 20590.05385 | 18710.43433 | 18327.38756 | 18079.65975 | |
| 293 | 0 | 0 | 0 | 20726.97726 | 18803.04237 | 18415.15354 | 18171.3626 | |
| 294 | 0 | 0 | 0 | 20754.15662 | 18890.03348 | 18468.39665 | 18259.38275 | |
| 295 | 0 | 0 | 0 | 20822.67474 | 18936.93335 | 18490.41485 | 18314.70658 | |
| 296 | 0 | 0 | 0 | 20985.94849 | 18950.91963 | 18581.81114 | 18339.35942 | |
| 297 | 0 | 0 | 0 | 21056.96885 | 19070.66214 | 18674.75071 | 18421.45755 | |
| 298 | 0 | 0 | 0 | 21113.46878 | 19151.59609 | 18706.60343 | 18518.33521 | |
| 299 | 0 | 0 | 0 | 21186.58397 | 19192.21362 | 18775.33884 | 18547.31289 | |
| 300 | 0 | 0 | 0 | 21285.38222 | 19260.12089 | 18819.14248 | 18616.31995 | |
| 301 | 0 | 0 | 0 | 21374.34939 | 19319.75879 | 18920.49372 | 18654.92962 | |
| 302 | 0 | 0 | 0 | 21390.76525 | 19425.15572 | 18978.19027 | 18754.95377 | |
| 303 | 0 | 0 | 0 | 21472.06809 | 19468.13089 | 19042.76052 | 18817.47926 | |
| 304 | 0 | 0 | 0 | 21526.04422 | 19537.21118 | 19138.78573 | 18880.57012 | |
| 305 | 0 | 0 | 0 | 21658.57776 | 19593.00409 | 19157.75774 | 18989.79238 | |
| 306 | 0 | 0 | 0 | 21775.95766 | 19642.64301 | 19269.77625 | 18998.70499 | |
| 307 | 0 | 0 | 0 | 21819.64664 | 19681.55705 | 19355.69836 | 19134.70334 | |
| 308 | 0 | 0 | 0 | 21862.03434 | 19785.76845 | 19365.66963 | 19203.98899 | |
| 309 | 0 | 0 | 0 | 21969.43915 | 19858.56623 | 19493.87898 | 19214.62617 | |
| 310 | 0 | 0 | 0 | 22013.787 | 19882.88297 | 19529.50071 | 19366.27734 | |
| 311 | 0 | 0 | 0 | 22086.44612 | 20012.22097 | 19593.37227 | 19371.15813 | |
| 312 | 0 | 0 | 0 | 22182.22659 | 20054.3717 | 19609.33584 | 19441.41646 | |
| 313 | 0 | 0 | 0 | 22240.89314 | 20121.25177 | 19670.71498 | 19442.15459 | |
| 314 | 0 | 0 | 0 | 22349.00855 | 20133.44082 | 19801.84139 | 19518.93101 | |
| 315 | 0 | 0 | 0 | 22491.04264 | 20225.07238 | 19892.35834 | 19663.01256 | |
| 316 | 0 | 0 | 0 | 22518.10609 | 20328.70114 | 19899.16805 | 19729.41891 | |
| 317 | 0 | 0 | 0 | 22565.07019 | 20416.66214 | 19923.12886 | 19749.22856 | |
| 318 | 0 | 0 | 0 | 22658.9237 | 20447.15659 | 19986.93252 | 19751.23655 | |
| 319 | 0 | 0 | 0 | 22691.04119 | 20476.78794 | 20021.39745 | 19826.24946 | |
| 320 | 0 | 0 | 0 | 22850.7941 | 20566.19122 | 20119.335 | 19842.69343 | |
| 321 | 0 | 0 | 0 | 22927.15673 | 20587.90335 | 20234.69165 | 19965.63454 | |
| 322 | 0 | 0 | 0 | 22968.83474 | 20661.98551 | 20274.59302 | 20094.53012 | |
| 323 | 0 | 0 | 0 | 23062.23278 | 20796.70487 | 20331.91775 | 20103.32916 | |
| 324 | 0 | 0 | 0 | 23144.77069 | 20853.14359 | 20403.90787 | 20160.94452 | |
| 325 | 0 | 0 | 0 | 23328.63459 | 20923.15432 | 20419.03217 | 20232.4934 | |
| 326 | 0 | 0 | 0 | 23372.51801 | 20987.71082 | 20505.30975 | 20233.58392 | |
| 327 | 0 | 0 | 0 | 23460.64956 | 21006.99313 | 20580.24151 | 20340.74687 | |
| 328 | 0 | 0 | 0 | 23494.35047 | 21090.1611 | 20627.17237 | 20412.97697 | |
| 329 | 0 | 0 | 0 | 23555.28114 | 21158.12236 | 20704.80942 | 20453.0094 | |
| 330 | 0 | 0 | 0 | 23622.19839 | 21238.70147 | 20760.61947 | 20529.6814 | |
| 331 | 0 | 0 | 0 | 23697.08553 | 21260.2978 | 20834.69801 | 20596.71428 | |
| 332 | 0 | 0 | 0 | 23776.909 | 21354.12711 | 20865.89335 | 20664.31415 | |
| 333 | 0 | 0 | 0 | 23840.75967 | 21432.55919 | 20932.49275 | 20680.01482 | |
| 334 | 0 | 0 | 0 | 0 | 21484.72617 | 21015.44053 | 20751.34837 | |
| 335 | 0 | 0 | 0 | 0 | 21557.90105 | 21037.12782 | 20837.50186 | |
| 336 | 0 | 0 | 0 | 0 | 21603.98935 | 21078.64329 | 20851.18511 | |
| 337 | 0 | 0 | 0 | 0 | 21636.66404 | 21173.7166 | 20895.60053 | |
| 338 | 0 | 0 | 0 | 0 | 21674.02136 | 21284.69997 | 21009.60592 | |
| 339 | 0 | 0 | 0 | 0 | 21795.14401 | 21326.55282 | 21117.2634 | |
| 340 | 0 | 0 | 0 | 0 | 21893.52665 | 21406.44041 | 21140.57327 | |
| 341 | 0 | 0 | 0 | 0 | 21987.19572 | 21434.65448 | 21215.94024 | |
| 342 | 0 | 0 | 0 | 0 | 22024.10249 | 21565.45273 | 21241.30291 | |
| 343 | 0 | 0 | 0 | 0 | 22070.59212 | 21653.51274 | 21399.7562 | |
| 344 | 0 | 0 | 0 | 0 | 22144.86661 | 21730.52992 | 21492.33815 | |
| 345 | 0 | 0 | 0 | 0 | 22208.67218 | 21775.87254 | 21573.68903 | |
| 346 | 0 | 0 | 0 | 0 | 22283.59252 | 21808.40502 | 21609.32952 | |
| 347 | 0 | 0 | 0 | 0 | 22387.14149 | 21847.38857 | 21618.56707 | |
| 348 | 0 | 0 | 0 | 0 | 22439.93692 | 21907.97611 | 21653.02002 | |
| 349 | 0 | 0 | 0 | 0 | 22464.70772 | 22018.94098 | 21725.35623 | |
| 350 | 0 | 0 | 0 | 0 | 22506.69277 | 22057.24001 | 21858.94796 | |
| 351 | 0 | 0 | 0 | 0 | 22596.28237 | 22103.67561 | 21880.42257 | |
| 352 | 0 | 0 | 0 | 0 | 22689.41113 | 22203.68007 | 21911.54182 | |
| 353 | 0 | 0 | 0 | 0 | 22716.33039 | 22221.22253 | 22035.51979 | |
| 354 | 0 | 0 | 0 | 0 | 22772.56891 | 22306.88843 | 22040.36912 | |
| 355 | 0 | 0 | 0 | 0 | 22862.75557 | 22366.52444 | 22124.55211 | |
| 356 | 0 | 0 | 0 | 0 | 22922.34063 | 22444.55582 | 22184.20483 | |
| 357 | 0 | 0 | 0 | 0 | 22995.01759 | 22499.5254 | 22263.99258 | |
| 358 | 0 | 0 | 0 | 0 | 23058.0151 | 22557.75583 | 22316.32882 | |
| 359 | 0 | 0 | 0 | 0 | 23160.88689 | 22613.57634 | 22359.91593 | |
| 360 | 0 | 0 | 0 | 0 | 23173.13786 | 22715.44087 | 22430.02818 | |
| 361 | 0 | 0 | 0 | 0 | 23250.98499 | 22725.91935 | 22533.40853 | |
| 362 | 0 | 0 | 0 | 0 | 23312.80428 | 22807.82158 | 22539.77093 | |
| 363 | 0 | 0 | 0 | 0 | 23421.99175 | 22854.37267 | 22606.36062 | |
| 364 | 0 | 0 | 0 | 0 | 23471.18537 | 22947.59087 | 22652.0449 | |
| 365 | 0 | 0 | 0 | 0 | 23526.08587 | 23005.4589 | 22757.83213 | |
| 366 | 0 | 0 | 0 | 0 | 23571.39945 | 23022.20842 | 22812.43877 | |
| 367 | 0 | 0 | 0 | 0 | 23661.7083 | 23107.21421 | 22819.81828 | |
| 368 | 0 | 0 | 0 | 0 | 23736.40678 | 23145.67265 | 22900.82557 | |
| 369 | 0 | 0 | 0 | 0 | 23777.62436 | 23196.29668 | 22938.37896 | |
| 370 | 0 | 0 | 0 | 0 | 23838.49399 | 23334.43263 | 22985.64221 |
| Triangle 3 | ||||||||
|---|---|---|---|---|---|---|---|---|
| Refinement | ||||||||
| # | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
| 1 | 103.4875855 | 99.12669732 | 98.02277436 | 97.74155239 | 97.66978748 | 97.65142949 | 97.64523504 | |
| 2 | 247.8587209 | 225.779414 | 220.3285263 | 218.9656588 | 218.6244852 | 218.5391341 | 218.5103345 | |
| 3 | 367.3564133 | 324.6236916 | 314.078818 | 311.4453688 | 310.78363 | 310.6169989 | 310.5607734 | |
| 4 | 462.1245719 | 402.8584804 | 387.8755136 | 384.1293281 | 383.1895381 | 382.953584 | 382.8739672 | |
| 5 | 631.4869632 | 531.7224781 | 506.5868035 | 500.3338178 | 498.7708921 | 498.3798259 | 498.2478703 | |
| 6 | 748.9269801 | 614.755054 | 581.7927901 | 573.6593274 | 571.6310884 | 571.1241576 | 570.9531064 | |
| 7 | 944.870842 | 751.9383932 | 697.1474922 | 683.7400956 | 680.3990717 | 679.5621716 | 679.2797805 | |
| 8 | 973.1576481 | 779.2650624 | 732.2741303 | 720.5559001 | 717.6271525 | 716.8945332 | 716.647329 | |
| 9 | 1244.073556 | 944.5008154 | 865.2494677 | 846.1225428 | 841.3779488 | 840.1918976 | 839.791694 | |
| 10 | 1408.71668 | 1062.31766 | 955.3256916 | 929.3966024 | 922.9807191 | 921.3805883 | 920.8406639 | |
| 11 | 1479.608495 | 1093.52577 | 995.210845 | 971.7489426 | 965.9435261 | 964.4944649 | 964.0055151 | |
| 12 | 1772.795742 | 1269.036594 | 1137.409581 | 1105.870939 | 1098.0698 | 1096.123746 | 1095.467099 | |
| 13 | 1817.831784 | 1391.349397 | 1223.960681 | 1184.324838 | 1174.568876 | 1172.138793 | 1171.318822 | |
| 14 | 2143.437873 | 1461.465943 | 1298.84077 | 1259.517681 | 1249.767617 | 1247.332807 | 1246.511241 | |
| 15 | 2202.370416 | 1523.147846 | 1342.986515 | 1299.947222 | 1289.329693 | 1286.681738 | 1285.788251 | |
| 16 | 2325.512924 | 1729.260744 | 1503.569111 | 1449.650657 | 1436.341592 | 1433.019457 | 1431.898484 | |
| 17 | 2481.504392 | 1781.709324 | 1547.928057 | 1490.555834 | 1476.334157 | 1472.786337 | 1471.589213 | |
| 18 | 2939.446686 | 1895.880855 | 1637.984505 | 1575.711738 | 1560.324801 | 1556.488626 | 1555.194204 | |
| 19 | 3279.71788 | 1981.821751 | 1699.435102 | 1631.166341 | 1614.353233 | 1610.163782 | 1608.750155 | |
| 20 | 0 | 2229.810545 | 1896.213806 | 1810.830522 | 1789.4036 | 1784.039538 | 1782.229569 | |
| 21 | 0 | 2251.990996 | 1916.044521 | 1833.905164 | 1813.732056 | 1808.712756 | 1807.019117 | |
| 22 | 0 | 2316.77141 | 1959.383895 | 1872.763391 | 1851.486225 | 1846.191027 | 1844.404293 | |
| 23 | 0 | 2521.411258 | 2115.535847 | 2014.940307 | 1989.992554 | 1983.768692 | 1981.668604 | |
| 24 | 0 | 2622.576553 | 2173.668826 | 2065.513787 | 2039.179018 | 2032.632913 | 2030.424092 | |
| 25 | 0 | 2804.994967 | 2296.827105 | 2169.349431 | 2137.742408 | 2129.856601 | 2127.19573 | |
| 26 | 0 | 2855.880923 | 2359.252951 | 2236.791918 | 2206.544725 | 2199.002408 | 2196.457441 | |
| 27 | 0 | 2951.448813 | 2400.662936 | 2267.598841 | 2235.271814 | 2227.254683 | 2224.549501 | |
| 28 | 0 | 3196.889066 | 2594.148187 | 2442.225167 | 2404.97039 | 2395.704879 | 2392.578463 | |
| 29 | 0 | 3250.40701 | 2626.386904 | 2471.587566 | 2433.813487 | 2424.4295 | 2421.263106 | |
| 30 | 0 | 3416.976901 | 2769.024485 | 2591.92674 | 2547.856828 | 2536.860648 | 2533.15026 | |
| 31 | 0 | 3514.432499 | 2834.432197 | 2662.932301 | 2620.69987 | 2610.185666 | 2606.637908 | |
| 32 | 0 | 3609.496804 | 2879.711251 | 2701.81883 | 2658.500593 | 2647.742277 | 2644.11215 | |
| 33 | 0 | 3725.32895 | 2974.8128 | 2782.689032 | 2735.610797 | 2723.912131 | 2719.964706 | |
| 34 | 0 | 3969.376444 | 3137.664534 | 2926.279517 | 2874.38062 | 2861.460035 | 2857.100304 | |
| 35 | 0 | 4075.814182 | 3218.352038 | 2998.849169 | 2945.21372 | 2931.878412 | 2927.378743 | |
| 36 | 0 | 4104.358302 | 3268.631579 | 3046.560503 | 2990.669455 | 2976.660067 | 2971.932947 | |
| 37 | 0 | 4284.652719 | 3359.77247 | 3113.395521 | 3053.21384 | 3038.281044 | 3033.242342 | |
| 38 | 0 | 4447.128702 | 3482.914671 | 3221.142458 | 3157.00999 | 3141.089624 | 3135.717692 | |
| 39 | 0 | 4459.010793 | 3486.771843 | 3231.803179 | 3169.683806 | 3154.252473 | 3149.045553 | |
| 40 | 0 | 4851.655389 | 3762.228349 | 3465.748931 | 3392.330084 | 3373.934064 | 3367.726784 | |
| 41 | 0 | 4892.991633 | 3815.993152 | 3509.939108 | 3433.142572 | 3413.913871 | 3407.425623 | |
| 42 | 0 | 5012.103414 | 3843.088899 | 3530.740105 | 3452.214376 | 3432.754841 | 3426.188703 | |
| 43 | 0 | 5171.909754 | 3896.584427 | 3567.259903 | 3491.698291 | 3473.194879 | 3466.951361 | |
| 44 | 0 | 5275.404537 | 4083.705648 | 3733.088736 | 3646.609497 | 3625.107835 | 3617.852632 | |
| 45 | 0 | 5380.138392 | 4111.688081 | 3760.531386 | 3675.669861 | 3654.653824 | 3647.562483 | |
| 46 | 0 | 5555.47454 | 4286.581085 | 3904.161517 | 3812.412998 | 3789.747946 | 3782.100187 | |
| 47 | 0 | 5737.236321 | 4417.907275 | 4010.91829 | 3908.665558 | 3883.015579 | 3874.36063 | |
| 48 | 0 | 5786.648687 | 4445.88157 | 4034.072269 | 3934.20191 | 3909.573339 | 3901.263038 | |
| 49 | 0 | 5882.51106 | 4501.496348 | 4104.986179 | 4008.901188 | 3985.048242 | 3976.999656 | |
| 50 | 0 | 6170.015249 | 4617.470549 | 4155.643759 | 4046.559847 | 4019.791056 | 4010.758591 | |
| 51 | 0 | 6239.011646 | 4779.17862 | 4311.636515 | 4197.717904 | 4169.465906 | 4159.93297 | |
| 52 | 0 | 6379.610209 | 4878.518331 | 4391.289198 | 4273.581164 | 4244.413689 | 4234.571848 | |
| 53 | 0 | 6398.627315 | 4901.462692 | 4413.10512 | 4296.869285 | 4268.261673 | 4258.608744 | |
| 54 | 0 | 6642.49959 | 5101.220439 | 4574.554619 | 4442.900939 | 4410.02231 | 4398.928232 | |
| 55 | 0 | 6736.672087 | 5118.09603 | 4607.783808 | 4483.353703 | 4452.436385 | 4442.004102 | |
| 56 | 0 | 6860.804173 | 5257.815337 | 4716.1513 | 4584.886713 | 4552.421052 | 4541.46632 | |
| 57 | 0 | 7025.149393 | 5275.484345 | 4730.045694 | 4598.629685 | 4566.150109 | 4555.190682 | |
| 58 | 0 | 7105.2813 | 5422.28527 | 4834.049347 | 4692.518058 | 4657.59082 | 4645.805489 | |
| 59 | 0 | 7176.090522 | 5598.37813 | 5002.581788 | 4856.561144 | 4820.188901 | 4807.915989 | |
| 60 | 0 | 7315.374814 | 5651.219105 | 5024.539127 | 4871.236471 | 4833.328884 | 4820.537908 | |
| 61 | 0 | 7397.278375 | 5810.952267 | 5166.17196 | 5003.344727 | 4962.475008 | 4948.684534 | |
| 62 | 0 | 7735.089181 | 5822.408928 | 5199.130388 | 5048.365776 | 5010.878541 | 4998.229403 | |
| 63 | 0 | 7979.273563 | 6003.409799 | 5284.112479 | 5109.55897 | 5066.708671 | 5052.2499 | |
| 64 | 0 | 8110.822236 | 6024.169702 | 5326.94464 | 5158.405212 | 5116.713705 | 5102.64594 | |
| 65 | 0 | 8210.910321 | 6128.806122 | 5421.530607 | 5250.577881 | 5208.30678 | 5194.043445 | |
| 66 | 0 | 8251.031781 | 6230.828926 | 5472.350256 | 5292.418619 | 5248.209236 | 5233.291875 | |
| 67 | 0 | 8511.71991 | 6424.39382 | 5665.716155 | 5481.539441 | 5435.957457 | 5420.576946 | |
| 68 | 0 | 8526.106994 | 6550.646957 | 5748.38084 | 5547.550056 | 5497.032934 | 5479.987183 | |
| 69 | 0 | 8756.253158 | 6618.178291 | 5825.290872 | 5620.925847 | 5570.940748 | 5554.074515 | |
| 70 | 0 | 8856.783763 | 6686.131447 | 5840.183718 | 5639.752263 | 5587.824525 | 5570.302797 | |
| 71 | 0 | 9173.115756 | 6771.352984 | 5879.906837 | 5672.810974 | 5623.918316 | 5607.4207 | |
| 72 | 0 | 9269.686395 | 6900.88591 | 6001.699722 | 5780.568497 | 5726.019439 | 5707.613212 | |
| 73 | 0 | 9548.072294 | 7008.944585 | 6127.217514 | 5911.377034 | 5857.444824 | 5839.246737 | |
| 74 | 0 | 9780.480025 | 7083.900461 | 6148.13941 | 5925.575936 | 5871.52185 | 5853.282639 | |
| 75 | 0 | 9857.163614 | 7349.802004 | 6343.660062 | 6103.224303 | 6044.231947 | 6024.32644 | |
| 76 | 0 | 10227.48213 | 7443.334986 | 6456.935312 | 6216.923166 | 6157.657338 | 6137.659553 | |
| 77 | 0 | 10345.27187 | 7472.402536 | 6485.770882 | 6238.876751 | 6173.004595 | 6150.777669 | |
| 78 | 0 | 10424.98013 | 7546.746218 | 6508.039579 | 6247.777967 | 6187.193209 | 6166.750384 | |
| 79 | 0 | 10556.69814 | 7622.203332 | 6565.21623 | 6319.551052 | 6259.174135 | 6238.801442 | |
| 80 | 0 | 10755.0088 | 7851.567081 | 6687.775346 | 6415.034311 | 6348.832592 | 6326.494463 | |
| 81 | 0 | 11112.44244 | 7915.150786 | 6820.552602 | 6550.564296 | 6483.644188 | 6461.063657 | |
| 82 | 0 | 11622.61962 | 7959.583556 | 6838.286903 | 6566.576779 | 6499.532581 | 6476.910178 | |
| 83 | 0 | 11832.46408 | 8141.23344 | 6987.200161 | 6689.753796 | 6617.37568 | 6592.953479 | |
| 84 | 0 | 12176.30409 | 8258.324187 | 7000.453419 | 6723.919312 | 6655.749027 | 6632.746655 | |
| 85 | 0 | 12588.78376 | 8372.200288 | 7184.522423 | 6881.512903 | 6805.424501 | 6779.750357 | |
| 86 | 0 | 13554.55527 | 8442.711202 | 7217.937601 | 6924.618021 | 6851.200619 | 6826.427737 | |
| 87 | 0 | 13792.68142 | 8505.810697 | 7258.290052 | 6944.486423 | 6867.193221 | 6841.112546 | |
| 88 | 0 | 14342.3377 | 8667.464697 | 7414.568846 | 7092.638255 | 7013.618348 | 6986.955039 | |
| 89 | 0 | 14435.35965 | 8764.544546 | 7420.230082 | 7110.213726 | 7033.912256 | 7008.166217 | |
| 90 | 0 | 14677.01675 | 8912.195584 | 7518.518165 | 7180.949089 | 7098.137665 | 7070.195003 | |
| 91 | 0 | 0 | 8992.537348 | 7617.163918 | 7280.459444 | 7197.19641 | 7169.101364 | |
| 92 | 0 | 0 | 9166.599463 | 7773.874162 | 7428.627428 | 7341.851466 | 7312.57107 | |
| 93 | 0 | 0 | 9232.167204 | 7783.450165 | 7434.399607 | 7350.376147 | 7322.024514 | |
| 94 | 0 | 0 | 9406.59787 | 7949.777741 | 7585.208811 | 7493.187776 | 7462.137559 | |
| 95 | 0 | 0 | 9413.83596 | 7983.211022 | 7637.305073 | 7551.545 | 7522.60739 | |
| 96 | 0 | 0 | 9614.619332 | 8081.347989 | 7691.671642 | 7595.6936 | 7563.308189 | |
| 97 | 0 | 0 | 9718.466786 | 8154.863146 | 7775.554581 | 7683.066794 | 7651.859084 | |
| 98 | 0 | 0 | 9758.779313 | 8180.103017 | 7800.330003 | 7706.133781 | 7674.349601 | |
| 99 | 0 | 0 | 9899.195284 | 8262.261279 | 7865.835655 | 7768.363134 | 7735.473449 | |
| 100 | 0 | 0 | 10117.70714 | 8398.296643 | 7983.650695 | 7883.246962 | 7849.368212 | |
| 101 | 0 | 0 | 10265.01028 | 8543.539198 | 8129.911612 | 8028.494531 | 7994.273852 | |
| 102 | 0 | 0 | 10279.99465 | 8593.165213 | 8177.786653 | 8075.361421 | 8040.800566 | |
| 103 | 0 | 0 | 10406.71235 | 8729.085579 | 8289.393715 | 8175.962441 | 8137.687869 | |
| 104 | 0 | 0 | 10526.53786 | 8776.643104 | 8343.244701 | 8237.31887 | 8201.576825 |