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. All sides were given Neumann Boundary Conditions, and the first approximately 150 Eigenvalues of the Laplacian operator on the Spectrum were generated using the finite element solver built into MATLAB. The 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. Unfortunately the error in the calculated eigenvalues of the first triangle did not reduce at an approximately constant rate, so the predicted values are likely significantly less accurate, a conclusion supported by the fact that many of its counting graphs display irregular behavior while the graphs of the other two triangles behave as we would expect.
Here N'(t) = (Area/4pi)*t+(Perimeter/4pi)*t^1/2+Sum(pi/theta-theta/pi).
Difference Graphs and Scatterplots for the three triangles.
A word on the Eigenvalue Spectrums: While our prediction for
the first eigenvalue in the spectrums below was never precisely zero, we know the true value to be zero.
| Triangle 1 | Triangle 2 | Triangle 3 | |||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Theta 1: pi/20 | Theta 2: pi/5 | Theta 3: 3pi/4 | Theta 1: pi/4 | Theta2: pi/5 | Theta 3: 11pi/20 | Theta 1: 2pi/7 | Theta 2: pi/7 | Theta 3: 4pi/7 | |||||||||||||||||||
| Refinements | Refinement | Refinements | |||||||||||||||||||||||||
| 0 | 1 | 2 | 3 | 4 | 5 | Predicted Eigenvalues | 0 | 1 | 2 | 3 | 4 | 5 | Predicted Eigenvalues | 0 | 1 | 2 | 3 | 4 | 5 | Predicted Eigenvalues | |||||||
| 9.09E-12 | 8.72E-12 | 8.32E-12 | 8.19E-12 | 8.11E-12 | 8.10E-12 | 0 | 2.50E-12 | 1.14E-12 | 1.06E-12 | 2.73E-11 | 3.87E-12 | 3.01E-12 | 0 | 3.45E-12 | 2.27E-13 | 4.55E-12 | 9.09E-13 | 7.71E-10 | 4.32E-11 | 0 | |||||||
| 17.76729106 | 17.66593215 | 17.63876339 | 17.6317205 | 17.62992919 | 17.6294776 | 17.62932707 | 20.17539569 | 20.03714823 | 20.00124907 | 19.99212573 | 19.98983148 | 19.98925683 | 19.98906647 | 18.68312337 | 18.55449152 | 18.52142056 | 18.51304895 | 18.51094636 | 18.51041991 | 18.5102464 | |||||||
| 59.75435619 | 58.58048303 | 58.26895337 | 58.1884692 | 58.16802602 | 58.16287523 | 58.1611583 | 47.46697021 | 46.72369774 | 46.53275988 | 46.48441773 | 46.4722756 | 46.46923542 | 46.46822829 | 57.20640433 | 56.041866 | 55.74657338 | 55.67218446 | 55.65353003 | 55.64886148 | 55.64732288 | |||||||
| 126.0213372 | 120.5774786 | 119.1392323 | 118.7675789 | 118.6732012 | 118.6494361 | 118.6415144 | 92.48995195 | 89.56294282 | 88.81604604 | 88.62682746 | 88.57926958 | 88.56735857 | 88.5634128 | 94.39202631 | 91.15297989 | 90.33761572 | 90.13261576 | 90.08123601 | 90.06837947 | 90.06414238 | |||||||
| 215.447511 | 199.8917616 | 195.778924 | 194.7153694 | 194.4454466 | 194.3775505 | 194.3549184 | 119.1993247 | 114.6760681 | 113.5410263 | 113.2554932 | 113.1839097 | 113.165996 | 113.1600617 | 153.0574219 | 144.7059795 | 142.6221406 | 142.0991508 | 141.9681051 | 141.9353145 | 141.9245079 | |||||||
| 334.5338502 | 297.214781 | 287.7884409 | 285.3865718 | 284.7803348 | 284.6282247 | 284.5775213 | 187.2269325 | 176.7199827 | 173.999884 | 173.3083505 | 173.1343436 | 173.0907476 | 173.0763055 | 199.0505943 | 184.7659434 | 181.2673114 | 180.3942861 | 180.1759165 | 180.1213038 | 180.1033053 | |||||||
| 499.9032124 | 422.4409507 | 403.1029461 | 398.2315739 | 397.006404 | 396.6993492 | 396.5969976 | 226.5241337 | 211.954828 | 208.3183663 | 207.4071514 | 207.1790199 | 207.1219545 | 207.1030504 | 288.0907767 | 262.4257956 | 255.9687129 | 254.3461546 | 253.939368 | 253.8375589 | 253.804006 | |||||||
| 719.8215573 | 581.0386756 | 545.8588026 | 536.979137 | 534.7431258 | 534.1823618 | 533.9954405 | 277.196849 | 255.2445187 | 249.757285 | 248.3755352 | 248.0288666 | 247.9420866 | 247.9133389 | 316.5992342 | 283.5350903 | 275.3569367 | 273.3140739 | 272.8028595 | 272.674986 | 272.6328432 | |||||||
| 988.7647482 | 773.5800456 | 712.8475435 | 697.581811 | 693.7396137 | 692.7758349 | 692.4545753 | 323.164262 | 293.7934684 | 286.4701344 | 284.6314479 | 284.1705785 | 284.0552436 | 284.0170365 | 417.5447449 | 365.8555555 | 353.2249309 | 350.0821647 | 349.2965791 | 349.1001342 | 349.0353924 | |||||||
| 1014.686751 | 825.4941751 | 783.1500609 | 772.2012273 | 769.4213252 | 768.7225234 | 768.4895895 | 400.7175593 | 358.3940228 | 347.8829836 | 345.248166 | 344.5880805 | 344.4229164 | 344.3682023 | 506.4204018 | 434.2925462 | 416.7053192 | 412.3401561 | 411.2501563 | 410.9776867 | 410.8878897 | |||||||
| 1333.453001 | 1000.48633 | 904.3393922 | 880.6751214 | 874.7664264 | 873.287861 | 872.7950059 | 478.9578976 | 418.1145403 | 403.0280811 | 399.2618724 | 398.3190974 | 398.0832333 | 398.0050984 | 520.9686858 | 444.4892367 | 426.0839275 | 421.5424736 | 420.409918 | 420.1268875 | 420.03361 | |||||||
| 1481.142111 | 1186.822641 | 1077.582045 | 1048.608567 | 1041.218113 | 1039.358242 | 1038.738284 | 514.8154385 | 449.7598126 | 433.8702967 | 429.9123552 | 428.9225881 | 428.6750536 | 428.5930527 | 657.9780335 | 547.3152565 | 520.0793198 | 513.3408392 | 511.6594645 | 511.2392317 | 511.1007369 | |||||||
| 1622.14123 | 1278.965202 | 1156.130045 | 1125.611078 | 1117.982682 | 1116.073632 | 1115.437282 | 589.0508928 | 507.4229553 | 487.1580761 | 482.103591 | 480.8393007 | 480.5230979 | 480.4183492 | 757.6373645 | 621.2646502 | 587.4344141 | 579.0911246 | 577.0116332 | 576.4920732 | 576.3208434 | |||||||
| 1781.420203 | 1527.061706 | 1334.499557 | 1285.668407 | 1273.374586 | 1270.290202 | 1269.262074 | 671.8385483 | 568.5323881 | 542.8776629 | 536.4895246 | 534.8919696 | 534.4924135 | 534.3600522 | 834.5191773 | 673.8278289 | 632.5091199 | 622.3507736 | 619.8211254 | 619.1891973 | 618.9809347 | |||||||
| 2005.342224 | 1691.934476 | 1486.343102 | 1434.374468 | 1421.265617 | 1417.973511 | 1416.876142 | 711.308456 | 600.9683136 | 572.0171897 | 564.7866729 | 562.9778583 | 562.5254297 | 562.3755533 | 910.6395214 | 728.3047941 | 681.9706652 | 670.6063501 | 667.7779467 | 667.0714872 | 666.8386615 | |||||||
| 2568.129384 | 1924.024437 | 1615.400359 | 1542.251678 | 1524.194969 | 1519.689465 | 1518.187631 | 813.9345228 | 678.3345352 | 644.1495989 | 635.6224811 | 633.4893902 | 632.955862 | 632.7791197 | 1025.412511 | 822.0129271 | 767.0260453 | 753.4136392 | 750.0180703 | 749.1694169 | 748.8897288 | |||||||
| 2855.518021 | 2156.794405 | 1819.509884 | 1734.601352 | 1713.086939 | 1707.673116 | 1705.868508 | 907.295716 | 737.4714334 | 694.3779992 | 683.6686162 | 680.9907233 | 680.320926 | 680.0990418 | 1088.683736 | 873.4647797 | 812.6106272 | 797.3461597 | 793.5241997 | 792.5681024 | 792.2530043 | |||||||
| 3643.49806 | 2345.432388 | 1931.996065 | 1835.124011 | 1811.53291 | 1805.672273 | 1803.718727 | 984.0648376 | 792.5974719 | 742.0573026 | 729.5972807 | 726.492492 | 725.7167576 | 725.4597796 | 1192.423114 | 967.914864 | 885.9708833 | 866.1058026 | 861.1818547 | 859.9532961 | 859.5484038 | |||||||
| 3966.605262 | 2570.227898 | 2120.690569 | 2006.611814 | 1977.752953 | 1970.497063 | 1968.078434 | 1022.154685 | 831.8916302 | 779.613644 | 766.6068535 | 763.3574007 | 762.5449429 | 762.2757994 | 1276.475029 | 981.932631 | 901.0286632 | 881.082912 | 876.1173522 | 874.8768912 | 874.4680762 | |||||||
| 4387.812153 | 2781.157037 | 2274.806952 | 2149.741424 | 2118.890541 | 2111.195965 | 2108.631106 | 1130.980828 | 922.6837681 | 862.1374569 | 846.9295986 | 843.1191708 | 842.1655828 | 841.8496869 | 1430.13051 | 1137.896454 | 1034.92642 | 1009.314668 | 1002.928727 | 1001.332874 | 1000.806934 | |||||||
| 4896.085569 | 2971.653722 | 2432.865775 | 2292.363196 | 2256.704783 | 2247.736323 | 2244.746836 | 1236.995924 | 975.6806328 | 904.3492346 | 886.5343026 | 882.0766526 | 880.961608 | 880.5922264 | 1497.053089 | 1178.393951 | 1074.887037 | 1048.870392 | 1042.333112 | 1040.695722 | 1040.156092 | |||||||
| 6146.906546 | 3381.948101 | 2644.083829 | 2469.04001 | 2426.482426 | 2415.90543 | 2412.379764 | 1283.150704 | 1020.09122 | 940.8586859 | 921.6066751 | 916.8269807 | 915.6337103 | 915.2384148 | 1583.42899 | 1247.349962 | 1119.075368 | 1088.089222 | 1080.451046 | 1078.548623 | 1077.921647 | |||||||
| 6265.309837 | 3497.279814 | 2823.1096 | 2638.214217 | 2590.586039 | 2578.571548 | 2574.566718 | 1369.954411 | 1083.404512 | 999.1279752 | 978.3380272 | 973.1586651 | 971.8646576 | 971.4359908 | 1681.111618 | 1321.239595 | 1188.166424 | 1155.336614 | 1147.167878 | 1145.1276 | 1144.455191 | |||||||
| 13834.08355 | 3757.842545 | 3015.55572 | 2804.865318 | 2752.919352 | 2739.986931 | 2735.676124 | 1387.398566 | 1152.846431 | 1059.778706 | 1036.495975 | 1030.679817 | 1029.225678 | 1028.743965 | 1774.881301 | 1455.78612 | 1294.96962 | 1255.135869 | 1245.235814 | 1242.764252 | 1241.949707 | |||||||
| 0 | 3999.666218 | 3157.229 | 2988.125643 | 2939.451286 | 2924.782845 | 2919.893364 | 1500.278703 | 1228.323734 | 1116.646823 | 1089.080614 | 1082.214324 | 1080.498676 | 1079.930332 | 1853.721103 | 1482.06017 | 1324.499707 | 1285.559999 | 1275.856571 | 1273.431861 | 1272.632757 | |||||||
| 0 | 4184.7017 | 3265.711893 | 3012.704434 | 2957.276335 | 2945.953547 | 2942.179284 | 1594.127558 | 1255.4774 | 1148.087285 | 1120.944336 | 1114.137286 | 1112.433342 | 1111.868876 | 1977.574691 | 1594.609928 | 1408.797353 | 1363.910878 | 1352.12192 | 1349.0924 | 1348.09397 | |||||||
| 0 | 4612.55993 | 3514.351222 | 3231.409416 | 3162.136348 | 3144.837428 | 3139.071121 | 1625.49413 | 1337.496301 | 1221.287129 | 1192.117346 | 1184.820431 | 1182.995274 | 1182.390653 | 2117.913757 | 1613.27512 | 1414.151464 | 1364.909697 | 1353.37508 | 1350.586283 | 1349.667188 | |||||||
| 0 | 4773.679147 | 3712.246181 | 3392.636651 | 3312.115905 | 3291.989445 | 3285.280625 | 1782.438034 | 1442.898092 | 1300.758862 | 1265.206095 | 1256.313951 | 1254.089456 | 1253.352546 | 2222.96804 | 1794.650218 | 1550.954613 | 1492.388535 | 1477.920958 | 1474.313709 | 1473.124879 | |||||||
| 0 | 4829.423838 | 3875.263423 | 3636.990816 | 3551.295143 | 3529.213211 | 3521.852567 | 1855.381525 | 1514.795487 | 1361.583597 | 1323.836501 | 1314.446495 | 1312.101326 | 1311.324441 | 2289.88435 | 1832.115783 | 1592.933799 | 1534.698574 | 1520.291917 | 1516.699443 | 1515.515482 | |||||||
| 0 | 5408.372041 | 3994.46585 | 3646.375507 | 3584.77345 | 3569.723147 | 3564.706379 | 1920.673738 | 1542.5872 | 1378.974999 | 1338.743247 | 1328.72215 | 1326.218207 | 1325.388724 | 2336.47573 | 1953.63421 | 1693.206438 | 1628.997543 | 1613.013931 | 1609.02045 | 1607.704331 | |||||||
| 0 | 5594.947896 | 4208.329293 | 3816.451392 | 3721.053557 | 3697.510063 | 3689.662232 | 2039.492128 | 1600.936561 | 1420.658816 | 1376.470053 | 1365.513588 | 1362.779784 | 1361.874155 | 2478.994673 | 2061.850558 | 1760.265991 | 1685.644455 | 1666.093714 | 1661.209679 | 1659.600063 | |||||||
| 0 | 5924.608737 | 4512.639978 | 4061.858173 | 3949.453259 | 3921.338154 | 3911.966452 | 2165.394824 | 1693.358559 | 1508.536193 | 1462.475855 | 1450.991416 | 1448.121658 | 1447.170992 | 2709.469728 | 2089.459783 | 1765.534473 | 1689.710615 | 1672.188317 | 1667.836617 | 1666.402441 | |||||||
| 0 | 6008.393211 | 4624.312006 | 4200.444673 | 4095.201819 | 4068.874262 | 4060.09841 | 2230.626788 | 1751.568095 | 1542.484832 | 1491.07972 | 1478.26459 | 1475.060812 | 1473.999495 | 2790.818835 | 2231.528662 | 1882.05067 | 1799.704327 | 1779.534249 | 1774.517377 | 1772.863982 | |||||||
| 0 | 6156.418788 | 4828.759186 | 4372.125387 | 4254.414662 | 4224.762573 | 4214.878543 | 2401.730952 | 1876.696752 | 1641.190876 | 1583.879538 | 1569.673739 | 1566.128799 | 1564.954465 | 2876.488369 | 2332.990335 | 1950.624635 | 1859.927554 | 1837.626732 | 1832.072386 | 1830.241857 | |||||||
| 0 | 6607.983768 | 5047.304335 | 4524.827198 | 4397.130947 | 4365.107134 | 4354.43253 | 2486.315568 | 1896.082444 | 1662.08812 | 1604.804605 | 1590.607287 | 1587.065295 | 1585.891937 | 3353.947505 | 2428.719802 | 2060.457941 | 1969.312465 | 1946.747312 | 1941.117014 | 1939.261454 | |||||||
| 0 | 6702.638115 | 5239.763376 | 4679.145723 | 4543.176998 | 4509.640822 | 4498.462097 | 2644.025431 | 1983.332932 | 1725.872039 | 1662.76899 | 1647.107261 | 1643.197124 | 1641.90181 | 3758.946428 | 2511.992341 | 2098.595788 | 1997.487705 | 1972.414804 | 1966.152609 | 1964.088797 | |||||||
| 0 | 6922.813088 | 5610.520277 | 4937.697042 | 4770.000904 | 4728.036881 | 4714.048873 | 2668.281132 | 2081.838001 | 1807.861764 | 1740.878027 | 1724.272367 | 1720.128489 | 1718.755743 | 4023.995187 | 2620.970051 | 2150.132358 | 2033.881417 | 2005.333378 | 1998.237221 | 1995.898562 | |||||||
| 0 | 7046.024922 | 5646.521798 | 5090.041492 | 4950.259984 | 4914.620733 | 4902.740983 | 2799.475 | 2155.538138 | 1859.18262 | 1785.837714 | 1767.569701 | 1763.004545 | 1761.492242 | 4201.389736 | 2703.822103 | 2245.473825 | 2133.979637 | 2106.557675 | 2099.720832 | 2097.467635 | |||||||
| 0 | 7328.986508 | 5906.385057 | 5180.411606 | 5001.898381 | 4958.311578 | 4943.782643 | 2874.001937 | 2235.333457 | 1910.538214 | 1831.318011 | 1811.756072 | 1806.881729 | 1805.267002 | 9083.008157 | 2793.026957 | 2264.337126 | 2138.209173 | 2107.640282 | 2100.07053 | 2097.57579 | |||||||
| 0 | 8161.999546 | 6210.480335 | 5464.750817 | 5254.552119 | 5202.097716 | 5184.612915 | 3011.643208 | 2289.383205 | 1965.231658 | 1885.861342 | 1866.217731 | 1861.319005 | 1859.696201 | 0 | 2946.823378 | 2401.484725 | 2268.606319 | 2235.9488 | 2227.818493 | 2225.139013 | |||||||
| 0 | 8229.022709 | 6316.6342 | 5574.095515 | 5416.353113 | 5376.993591 | 5363.873751 | 3069.140076 | 2352.397193 | 2007.821444 | 1925.311314 | 1904.952357 | 1899.87652 | 1898.195044 | 0 | 3057.18653 | 2498.955797 | 2363.670223 | 2330.2926 | 2321.96875 | 2319.225484 | |||||||
| 0 | 8489.80459 | 6603.525799 | 5743.091301 | 5525.051748 | 5470.777022 | 5452.685447 | 3175.915656 | 2492.869255 | 2114.534664 | 2021.846439 | 1998.571787 | 1992.751323 | 1990.823174 | 0 | 3098.187167 | 2541.095358 | 2394.408337 | 2356.230143 | 2346.59572 | 2343.420533 | |||||||
| 0 | 8520.75892 | 6787.70549 | 6003.241682 | 5754.359327 | 5691.571357 | 5670.642034 | 3345.976014 | 2524.098003 | 2123.469773 | 2030.878449 | 2008.562151 | 2003.02587 | 2001.191862 | 0 | 3269.494948 | 2583.157288 | 2422.197851 | 2384.961279 | 2375.847751 | 2372.844233 | |||||||
| 0 | 9196.266123 | 7016.558612 | 6043.414238 | 5858.82449 | 5813.659764 | 5798.604855 | 3672.514181 | 2662.302535 | 2238.912437 | 2131.77353 | 2104.911403 | 2098.188156 | 2095.960941 | 0 | 3326.141558 | 2691.656754 | 2524.459802 | 2483.242901 | 2473.004522 | 2469.630291 | |||||||
| 0 | 9389.24522 | 7180.052786 | 6270.676558 | 6025.490897 | 5963.10915 | 5942.315234 | 3955.319643 | 2714.353881 | 2269.707441 | 2163.087559 | 2136.818053 | 2130.271902 | 2128.103354 | 0 | 3416.102521 | 2700.328347 | 2535.345914 | 2495.501903 | 2485.600811 | 2482.337739 | |||||||
| 0 | 9842.603495 | 7504.64394 | 6541.029777 | 6266.592827 | 6195.397168 | 6171.665281 | 4241.914793 | 2758.126779 | 2310.42741 | 2199.681396 | 2172.571206 | 2165.832508 | 2163.600174 | 0 | 3617.725043 | 2892.474053 | 2703.751899 | 2657.223629 | 2645.640281 | 2641.822792 | |||||||
| 0 | 10439.19349 | 7681.828459 | 6624.335656 | 6386.778339 | 6331.070098 | 6312.500685 | 4462.412341 | 2853.287951 | 2385.091689 | 2269.659225 | 2241.091412 | 2233.965545 | 2231.604954 | 0 | 3643.577213 | 2924.143254 | 2738.913307 | 2693.274828 | 2681.910018 | 2678.164552 | |||||||
| 0 | 10980.30712 | 7758.332439 | 6742.734531 | 6514.988347 | 6456.087509 | 6436.453897 | 4894.188536 | 2928.276658 | 2422.630204 | 2301.341996 | 2271.401125 | 2263.93658 | 2261.463795 | 0 | 3795.298389 | 2983.264888 | 2788.257667 | 2740.372596 | 2728.434292 | 2724.499821 | |||||||
| 0 | 11077.32889 | 8114.015502 | 6943.47987 | 6641.83624 | 6567.86442 | 6543.207147 | 5497.117778 | 3051.005019 | 2547.070409 | 2415.007242 | 2382.138328 | 2373.93356 | 2371.21556 | 0 | 3867.053554 | 3075.506325 | 2863.703203 | 2811.812188 | 2798.945394 | 2794.704924 | |||||||
| 0 | 11254.78207 | 8524.792263 | 7208.6054 | 6877.624535 | 6795.800038 | 6768.525206 | 5708.972687 | 3096.725771 | 2548.125358 | 2421.407175 | 2390.187226 | 2382.397158 | 2379.816537 | 0 | 3934.911009 | 3089.88294 | 2885.311849 | 2835.574124 | 2823.21847 | 2819.146455 | |||||||
| 0 | 11504.61768 | 8602.574327 | 7333.363877 | 7038.789937 | 6966.86722 | 6942.892982 | 0 | 3231.386512 | 2660.105381 | 2518.348075 | 2483.431026 | 2474.72894 | 2471.846194 | 0 | 4111.669318 | 3206.31854 | 2972.087845 | 2915.182835 | 2901.067197 | 2896.41515 | |||||||
| 0 | 12660.60849 | 8649.693965 | 7540.020926 | 7187.393855 | 7095.482306 | 7064.845123 | 0 | 3332.119155 | 2690.086431 | 2532.69537 | 2494.135899 | 2484.557468 | 2481.384415 | 0 | 4261.324163 | 3340.311045 | 3098.772959 | 3039.897503 | 3025.280593 | 3020.463342 | |||||||
| 0 | 13155.1282 | 9098.441288 | 7716.13775 | 7400.503981 | 7316.548229 | 7288.562978 | 0 | 3428.567758 | 2783.866586 | 2623.687263 | 2584.43001 | 2574.666408 | 2571.432012 | 0 | 4347.932865 | 3364.549452 | 3118.786572 | 3058.867904 | 3043.985483 | 3039.080729 | |||||||
| 0 | 13798.14654 | 9337.434701 | 7922.927629 | 7603.037496 | 7524.215452 | 7497.941437 | 0 | 3454.699923 | 2811.86191 | 2657.109221 | 2618.600918 | 2608.975658 | 2605.787091 | 0 | 4388.353774 | 3451.463735 | 3194.950413 | 3131.67796 | 3115.924865 | 3110.733165 | |||||||
| 0 | 14441.36409 | 9567.708555 | 7972.629386 | 7614.121695 | 7533.705327 | 7506.899871 | 0 | 3571.74457 | 2897.883846 | 2731.440843 | 2690.605823 | 2680.439843 | 2677.072151 | 0 | 4535.096156 | 3516.091529 | 3253.109612 | 3188.382955 | 3172.209026 | 3166.878633 | |||||||
| 0 | 14553.11418 | 9883.958493 | 8244.510304 | 7800.127562 | 7689.891672 | 7653.146375 | 0 | 3628.190628 | 2940.663597 | 2772.347308 | 2730.750004 | 2720.375907 | 2716.939272 | 0 | 4660.765464 | 3627.314494 | 3352.372145 | 3283.485783 | 3264.98305 | 3258.885161 | |||||||
| 0 | 14851.70655 | 10025.0326 | 8542.519393 | 8101.410516 | 7988.477209 | 7950.832773 | 0 | 3710.558579 | 3012.105741 | 2838.484282 | 2794.950205 | 2784.015799 | 2780.39355 | 0 | 4748.228559 | 3665.510661 | 3358.430396 | 3285.291321 | 3268.59784 | 3263.096221 | |||||||
| 0 | 15401.68194 | 10259.14309 | 8560.512326 | 8177.174595 | 8082.281431 | 8050.650377 | 0 | 3896.042355 | 3072.021106 | 2868.594584 | 2819.097278 | 2806.853891 | 2802.798015 | 0 | 4924.593016 | 3775.050459 | 3460.818712 | 3385.120282 | 3366.389066 | 3360.215876 | |||||||
| 0 | 16303.2112 | 10548.15501 | 8841.442644 | 8381.606207 | 8260.073831 | 8219.563039 | 0 | 3913.711996 | 3138.789382 | 2940.584462 | 2891.792505 | 2879.648826 | 2875.62598 | 0 | 4979.530273 | 3875.467181 | 3552.646734 | 3474.201448 | 3454.744518 | 3448.332157 | |||||||
| 0 | 16791.58091 | 10846.32749 | 8966.28671 | 8567.796553 | 8475.04094 | 8444.122402 | 0 | 3985.827302 | 3168.328487 | 2970.832027 | 2922.915136 | 2911.023211 | 2907.083764 | 0 | 5128.488509 | 3918.769061 | 3589.617185 | 3508.986578 | 3488.944253 | 3482.338966 | |||||||
| 0 | 16907.47104 | 11233.81077 | 9221.739693 | 8742.717131 | 8613.879407 | 8570.933498 | 0 | 4165.418188 | 3302.65368 | 3088.116934 | 3035.199049 | 3022.010669 | 3017.641745 | 0 | 5262.573899 | 4068.819313 | 3738.627276 | 3657.938906 | 3637.852288 | 3631.232403 | |||||||
| 0 | 17767.47246 | 11396.38684 | 9301.400204 | 8794.901726 | 8682.401088 | 8644.900876 | 0 | 4247.88917 | 3339.904942 | 3105.662665 | 3048.003086 | 3033.643076 | 3028.886025 | 0 | 5319.367349 | 4122.215192 | 3760.695059 | 3671.516227 | 3649.211101 | 3641.860068 | |||||||
| 0 | 18054.82646 | 11770.50613 | 9609.15904 | 9039.716082 | 8897.316231 | 8849.849614 | 0 | 4312.025496 | 3410.31363 | 3183.00145 | 3127.467522 | 3113.654393 | 3109.078508 | 0 | 5453.994507 | 4192.858084 | 3821.998387 | 3728.236018 | 3704.629885 | 3696.850084 | |||||||
| 0 | 18779.94712 | 11864.18473 | 9907.715382 | 9350.213305 | 9204.688456 | 9156.180172 | 0 | 4404.281556 | 3484.775237 | 3250.471007 | 3192.426599 | 3177.902429 | 3173.090997 | 0 | 5577.892579 | 4249.481261 | 3843.733542 | 3748.084461 | 3724.916929 | 3717.281677 | |||||||
| 0 | 19624.77984 | 12293.47648 | 9977.209128 | 9418.698731 | 9282.548139 | 9237.164609 | 0 | 4443.115399 | 3514.503652 | 3266.503941 | 3204.880655 | 3189.589207 | 3184.523598 | 0 | 5659.65905 | 4332.055384 | 3950.90962 | 3859.55057 | 3836.956984 | 3829.510884 | |||||||
| 0 | 21843.68157 | 12601.26582 | 10125.49584 | 9585.57504 | 9459.035906 | 9416.856195 | 0 | 4523.352524 | 3565.596908 | 3322.937884 | 3264.238678 | 3249.665316 | 3244.837588 | 0 | 5699.702234 | 4419.975541 | 4001.215313 | 3900.758405 | 3875.939632 | 3867.760185 | |||||||
| 0 | 24747.37619 | 12671.61716 | 10389.62387 | 9732.643541 | 9565.399947 | 9509.652082 | 0 | 4637.033191 | 3675.048078 | 3432.224103 | 3371.80188 | 3356.626014 | 3351.598694 | 0 | 5882.014631 | 4508.874857 | 4079.788298 | 3975.654229 | 3949.85188 | 3941.348279 | |||||||
| 0 | 0 | 12959.03425 | 10654.8768 | 10029.05557 | 9865.816922 | 9811.404038 | 0 | 4762.046959 | 3713.951084 | 3446.061739 | 3380.366156 | 3364.059263 | 3358.657266 | 0 | 5998.276645 | 4626.134433 | 4198.48123 | 4094.81597 | 4069.11776 | 4060.648479 | |||||||
| 0 | 0 | 13190.96934 | 10699.01569 | 10083.99959 | 9930.670393 | 9879.56066 | 0 | 4862.805836 | 3798.003123 | 3524.193376 | 3456.748307 | 3439.927361 | 3434.355074 | 0 | 6061.028734 | 4741.502213 | 4305.336812 | 4196.042154 | 4168.026215 | 4158.793088 | |||||||
| 0 | 0 | 13618.15353 | 10978.67597 | 10299.201 | 10136.53349 | 10082.31098 | 0 | 4984.971133 | 3875.19422 | 3575.175486 | 3502.181049 | 3484.118097 | 3478.134369 | 0 | 6151.828712 | 4783.897283 | 4323.228099 | 4210.93822 | 4183.149617 | 4173.991412 | |||||||
| 0 | 0 | 13952.50053 | 11192.01737 | 10507.869 | 10327.63213 | 10267.55317 | 0 | 5060.304166 | 3944.966684 | 3629.026618 | 3552.075758 | 3533.009237 | 3526.693057 | 0 | 6198.937151 | 4829.094292 | 4343.390815 | 4223.734691 | 4194.285901 | 4184.580553 | |||||||
| 0 | 0 | 14120.06056 | 11401.9092 | 10702.76886 | 10529.08839 | 10471.1949 | 0 | 5131.981239 | 3986.586308 | 3679.520596 | 3604.904129 | 3586.391639 | 3580.258993 | 0 | 6366.654402 | 4871.580969 | 4355.921002 | 4234.761059 | 4205.412033 | 4195.739564 | |||||||
| 0 | 0 | 14304.66559 | 11467.77674 | 10762.20136 | 10589.12848 | 10531.43753 | 0 | 5203.855771 | 4045.77825 | 3734.219346 | 3656.770698 | 3637.418484 | 3631.007663 | 0 | 6455.758687 | 5050.208313 | 4537.47855 | 4409.651844 | 4377.799087 | 4367.301471 | |||||||
| 0 | 0 | 14361.14721 | 11677.71341 | 10902.07927 | 10716.11778 | 10654.13061 | 0 | 5312.482508 | 4127.271927 | 3798.202265 | 3718.039229 | 3698.148482 | 3691.559261 | 0 | 6554.837857 | 5090.183141 | 4545.390312 | 4416.312128 | 4384.549572 | 4374.081684 | |||||||
| 0 | 0 | 15057.15642 | 11899.98658 | 11162.94046 | 10970.22465 | 10905.98604 | 0 | 5390.623113 | 4204.288507 | 3870.052797 | 3786.157082 | 3765.178004 | 3758.22825 | 0 | 6724.469793 | 5227.767923 | 4674.28093 | 4540.503212 | 4507.433431 | 4496.534724 | |||||||
| 0 | 0 | 15141.53702 | 12223.04801 | 11403.99814 | 11201.07653 | 11133.43599 | 0 | 5458.060263 | 4226.266346 | 3912.402379 | 3835.043658 | 3815.663502 | 3809.243424 | 0 | 6771.109298 | 5319.05472 | 4775.434715 | 4641.415579 | 4608.065989 | 4597.075066 | |||||||
| 0 | 0 | 15523.73874 | 12410.27909 | 11498.92628 | 11284.71387 | 11213.30973 | 0 | 5573.43143 | 4334.587504 | 3978.097072 | 3890.263072 | 3868.447149 | 3861.220172 | 0 | 6882.972931 | 5388.531238 | 4829.277569 | 4694.208629 | 4660.713481 | 4649.674587 | |||||||
| 0 | 0 | 15738.90142 | 12417.12565 | 11660.34932 | 11456.10473 | 11388.02319 | 0 | 5689.021787 | 4418.115327 | 4061.433083 | 3972.973797 | 3950.907555 | 3943.597656 | 0 | 7092.205424 | 5484.178609 | 4885.750779 | 4734.911972 | 4697.091481 | 4684.627097 | |||||||
| 0 | 0 | 15872.01324 | 12655.11236 | 11800.61302 | 11603.26781 | 11537.48607 | 0 | 5747.796982 | 4470.418237 | 4097.647858 | 4004.24401 | 3980.958831 | 3973.245133 | 0 | 7166.317604 | 5541.652998 | 4928.590182 | 4783.338966 | 4747.720551 | 4735.981899 | |||||||
| 0 | 0 | 16333.56772 | 12984.22624 | 12040.63625 | 11797.01424 | 11715.8069 | 0 | 5862.602633 | 4499.857078 | 4106.603235 | 4015.857546 | 3993.6734 | 3986.324442 | 0 | 7246.984462 | 5564.77247 | 4971.948727 | 4827.0275 | 4791.147643 | 4779.322828 | |||||||
| 0 | 0 | 16599.64509 | 13126.82893 | 12242.26987 | 12006.51713 | 11927.93289 | 0 | 5973.082063 | 4623.926297 | 4226.115292 | 4128.286913 | 4103.954675 | 4095.894116 | 0 | 7399.184712 | 5736.822997 | 5078.074223 | 4917.232688 | 4877.372867 | 4864.236388 | |||||||
| 0 | 0 | 16881.66815 | 13303.62565 | 12318.97569 | 12091.21839 | 12015.29929 | 0 | 6037.099293 | 4669.483554 | 4259.198222 | 4157.52158 | 4132.13524 | 4123.72549 | 0 | 7473.064476 | 5839.627934 | 5140.461689 | 4971.924456 | 4930.371202 | 4916.676623 | |||||||
| 0 | 0 | 17412.5242 | 13564.91481 | 12590.17142 | 12342.98155 | 12260.58493 | 0 | 6100.159609 | 4777.107636 | 4358.922117 | 4253.043778 | 4226.701161 | 4217.974624 | 0 | 7653.037711 | 5961.684401 | 5281.152916 | 5117.862207 | 5077.546535 | 5064.259822 | |||||||
| 0 | 0 | 17535.55544 | 13716.71675 | 12833.48512 | 12562.07369 | 12460.46698 | 0 | 6184.092304 | 4791.400775 | 4374.235498 | 4275.681163 | 4251.126328 | 4242.99203 | 0 | 7688.614928 | 6014.487065 | 5320.273453 | 5151.371895 | 5109.544488 | 5095.759557 | |||||||
| 0 | 0 | 17695.26423 | 13944.29568 | 12888.9314 | 12686.93536 | 12471.60322 | 0 | 6277.845193 | 4924.104415 | 4455.475833 | 4338.190362 | 4309.114108 | 4299.481997 | 0 | 7728.01576 | 6056.131086 | 5369.754536 | 5196.954613 | 5153.839333 | 5139.629962 | |||||||
| 0 | 0 | 17982.60265 | 14191.89569 | 13656.27054 | 12759.41787 | 12619.60334 | 0 | 6378.092494 | 4962.064188 | 4509.864798 | 4400.151584 | 4372.99843 | 4364.003386 | 0 | 7881.85482 | 6148.908279 | 5429.755458 | 5261.088015 | 5219.398463 | 5205.658965 | |||||||
| 0 | 0 | 18093.58543 | 14264.52602 | 13824.69427 | 13052.19979 | 12779.69844 | 0 | 6484.713861 | 5004.486046 | 4550.832647 | 4439.367512 | 4411.619547 | 4402.427458 | 0 | 7936.559037 | 6274.571413 | 5505.853334 | 5314.693354 | 5267.077502 | 5251.384891 | |||||||
| 0 | 0 | 18888.848 | 14562.452 | 14104.80929 | 13110.97615 | 12794.70163 | 0 | 6533.287313 | 5060.724161 | 4621.412963 | 4515.446342 | 4489.099254 | 4480.371235 | 0 | 8176.141742 | 6358.024358 | 5630.287962 | 5452.380284 | 5408.105442 | 5393.513918 | |||||||
| 0 | 0 | 18954.78966 | 14873.4642 | 14143.82702 | 13354.78507 | 13091.77108 | 0 | 6550.941911 | 5138.576718 | 4681.13684 | 4568.289755 | 4540.026679 | 4530.663949 | 0 | 8221.287023 | 6502.417945 | 5666.655505 | 5459.511515 | 5408.615157 | 5391.841399 | |||||||
| 0 | 0 | 19212.32671 | 15071.40578 | 14341.98563 | 13810.89734 | 13632.49771 | 0 | 6626.737361 | 5242.431959 | 4730.145051 | 4604.288502 | 4573.015204 | 4562.655276 | 0 | 8379.526433 | 6553.276073 | 5702.835506 | 5501.725038 | 5452.229757 | 5435.917748 | |||||||
| 0 | 0 | 19451.97124 | 15120.49997 | 14534.54232 | 13858.00886 | 13633.86791 | 0 | 6866.621783 | 5309.875469 | 4811.333141 | 4689.569481 | 4659.331751 | 4649.314877 | 0 | 8589.788331 | 6642.414043 | 5771.563373 | 5565.245031 | 5514.807921 | 5498.185517 | |||||||
| 0 | 0 | 19874.19262 | 15257.61385 | 14660.08797 | 14046.9039 | 13842.50921 | 0 | 7014.178277 | 5362.562575 | 4840.023075 | 4709.442287 | 4676.928645 | 4666.157828 | 0 | 8694.826663 | 6771.893586 | 5920.158225 | 5713.611136 | 5662.41378 | 5645.540824 | |||||||
| 0 | 0 | 20085.72917 | 15681.4112 | 14885.77764 | 14237.26076 | 14021.08847 | 0 | 7071.428088 | 5447.153206 | 4917.076615 | 4786.974832 | 4754.659535 | 4743.954424 | 0 | 8760.163466 | 6839.942681 | 5957.605781 | 5742.551734 | 5689.291851 | 5671.739154 | |||||||
| 0 | 0 | 20416.40398 | 15839.25901 | 15089.68409 | 14309.77281 | 14049.80238 | 0 | 7140.475178 | 5567.886787 | 5005.92126 | 4868.865846 | 4834.832376 | 4823.558084 | 0 | 8834.223681 | 6934.112559 | 6048.487566 | 5830.848129 | 5776.938984 | 5759.172312 | |||||||
| 0 | 0 | 20581.33371 | 16031.42762 | 15326.649 | 14597.17163 | 14354.0125 | 0 | 7232.161708 | 5616.67682 | 5025.817897 | 4881.595592 | 4845.966199 | 4834.163224 | 0 | 8857.884514 | 7005.349874 | 6113.279819 | 5905.413964 | 5854.189746 | 5837.307937 | |||||||
| 0 | 0 | 21088.59194 | 16168.46939 | 15516.17906 | 14676.54173 | 14396.66262 | 0 | 7277.390243 | 5657.408755 | 5071.945258 | 4931.823283 | 4897.249346 | 4885.796013 | 0 | 8927.87361 | 7105.788473 | 6166.914398 | 5931.593602 | 5872.905162 | 5853.563392 | |||||||
| 0 | 0 | 21641.93635 | 16563.02678 | 15599.74463 | 14973.9765 | 14765.38712 | 0 | 7441.352743 | 5724.218596 | 5138.90108 | 4995.064731 | 4959.295299 | 4947.445934 | 0 | 9120.165085 | 7256.604553 | 6288.983688 | 6051.286021 | 5991.667112 | 5972.01869 | |||||||
| 0 | 0 | 21714.76415 | 16773.95056 | 15832.69002 | 15125.45259 | 14889.70678 | 0 | 7496.471377 | 5785.898497 | 5212.669289 | 5069.954293 | 5034.121985 | 5022.251791 | 0 | 9509.095088 | 7321.412075 | 6322.349147 | 6068.315196 | 6006.819893 | 5986.553074 | |||||||
| 0 | 0 | 21884.50642 | 16919.67543 | 15972.51848 | 15282.71011 | 15052.77399 | 0 | 7644.659497 | 5896.192073 | 5299.350999 | 5152.66181 | 5115.642204 | 5103.378692 | 0 | 9589.022973 | 7366.695647 | 6357.834315 | 6124.93839 | 6067.656121 | 6048.777778 | |||||||
| 0 | 0 | 22109.34065 | 17105.62791 | 16182.44816 | 15483.94684 | 15251.11307 | 0 | 7685.122787 | 5951.647674 | 5335.61311 | 5177.462909 | 5138.227916 | 5125.230512 | 0 | 9738.292765 | 7536.376599 | 6441.730648 | 6189.767186 | 6128.690083 | 6108.561089 | |||||||
| 0 | 0 | 22580.66674 | 17206.36972 | 16401.16408 | 15558.73974 | 15277.93163 | 0 | 7775.350727 | 6036.559823 | 5421.635751 | 5273.022758 | 5236.322118 | 5224.164271 | 0 | 9871.710706 | 7633.38838 | 6545.122217 | 6285.135822 | 6220.935164 | 6199.77675 | |||||||
| 0 | 0 | 22673.4212 | 17561.7187 | 16565.4459 | 15791.19155 | 15533.10677 | 0 | 7847.32053 | 6090.421788 | 5440.618453 | 5286.426738 | 5248.541506 | 5235.991238 | 0 | 9986.557371 | 7697.747394 | 6621.315516 | 6360.401564 | 6295.840157 | 6274.562851 | |||||||
| 0 | 0 | 23138.84373 | 17865.74923 | 16789.81332 | 15967.63704 | 15693.57828 | 0 | 7909.629511 | 6194.80284 | 5518.230369 | 5354.020811 | 5313.508924 | 5300.088521 | 0 | 0 | 7875.639913 | 6790.361843 | 6525.992793 | 6459.92369 | 6438.149498 | |||||||
| 0 | 0 | 23449.98591 | 18034.69016 | 16857.21249 | 16203.4149 | 15985.48237 | 0 | 8003.100595 | 6279.814741 | 5599.677452 | 5431.818455 | 5389.817369 | 5375.903639 | 0 | 0 | 7900.633726 | 6822.681947 | 6560.275935 | 6491.115482 | 6468.322483 | |||||||
| 0 | 0 | 23595.83671 | 18229.84971 | 17171.76521 | 16348.45652 | 16074.02029 | 0 | 8070.761692 | 6307.052666 | 5617.577393 | 5449.541697 | 5407.811577 | 5393.98761 | 0 | 0 | 8013.778281 | 6845.985182 | 6564.704996 | 6499.683682 | 6478.254806 | |||||||
| 0 | 0 | 23958.60716 | 18267.19186 | 17304.08874 | 16429.74738 | 16138.30026 | 0 | 8252.87332 | 6397.741462 | 5678.688469 | 5504.147002 | 5461.001756 | 5446.709 | 0 | 0 | 8033.582838 | 6898.543506 | 6619.398094 | 6550.388435 | 6527.645132 | |||||||
| 0 | 0 | 24065.05002 | 18784.8674 | 17423.58159 | 16734.14516 | 16504.33302 | 0 | 0 | 6488.442494 | 5767.395394 | 5589.889084 | 5545.34649 | 5530.590832 | 0 | 0 | 8171.274373 | 6952.266146 | 6656.611238 | 6583.003347 | 6558.744619 | |||||||
| 0 | 0 | 24364.4086 | 18933.14356 | 17560.01432 | 16831.47844 | 16588.63314 | 0 | 0 | 6550.189929 | 5818.495028 | 5636.826375 | 5591.3547 | 5576.291265 | 0 | 0 | 8243.144493 | 6982.210565 | 6674.63134 | 6600.466971 | 6576.024846 | |||||||
| 0 | 0 | 24663.58314 | 19025.20326 | 17792.56468 | 17024.0446 | 16767.87124 | 0 | 0 | 6642.192974 | 5847.965464 | 5656.371588 | 5609.654469 | 5594.178456 | 0 | 0 | 8431.217254 | 7186.0027 | 6890.58655 | 6817.64281 | 6793.602964 | |||||||
| 0 | 0 | 24985.36516 | 19270.85726 | 18130.39438 | 17133.99459 | 16801.86132 | 0 | 0 | 6718.85947 | 5960.084151 | 5762.226171 | 5712.604208 | 5696.165904 | 0 | 0 | 8496.920435 | 7212.251377 | 6901.560874 | 6825.176174 | 6800.002301 | |||||||
| 0 | 0 | 25087.73953 | 19335.31385 | 18264.38178 | 17240.77865 | 16899.5776 | 0 | 0 | 6760.623354 | 6016.25844 | 5832.795318 | 5785.699824 | 5770.098466 | 0 | 0 | 8579.616255 | 7267.898842 | 6945.768211 | 6866.737509 | 6840.691602 | |||||||
| 0 | 0 | 25687.83114 | 19885.17635 | 18357.53241 | 17664.76715 | 17433.84539 | 0 | 0 | 6881.780915 | 6059.983362 | 5855.430563 | 5806.652478 | 5790.493727 | 0 | 0 | 8691.390487 | 7369.282344 | 7054.146638 | 6976.275603 | 6950.611884 | |||||||
| 0 | 0 | 25887.40044 | 20045.38452 | 18524.84278 | 17731.10185 | 17466.52153 | 0 | 0 | 6925.684446 | 6107.985663 | 5910.619172 | 5861.247933 | 5844.892688 | 0 | 0 | 8832.531214 | 7511.359634 | 7193.195598 | 7114.969284 | 7089.188477 | |||||||
| 0 | 0 | 26221.33426 | 20304.835 | 18765.17229 | 17876.94425 | 17580.86823 | 0 | 0 | 6982.396694 | 6133.565226 | 5937.673792 | 5889.372591 | 5873.371817 | 0 | 0 | 8908.050182 | 7565.287208 | 7233.874775 | 7150.563831 | 7123.107297 | |||||||
| 0 | 0 | 26563.27468 | 20353.96272 | 18938.41419 | 18057.42366 | 17763.76015 | 0 | 0 | 7090.945493 | 6266.487778 | 6064.672454 | 6014.429258 | 5997.785158 | 0 | 0 | 8949.013551 | 7613.952869 | 7272.531804 | 7185.684007 | 7157.061844 | |||||||
| 0 | 0 | 26607.14535 | 20540.95242 | 19130.1446 | 18161.59192 | 17838.74102 | 0 | 0 | 7124.073629 | 6282.596796 | 6083.965176 | 6034.961506 | 6018.728025 | 0 | 0 | 9056.757113 | 7642.875229 | 7293.777249 | 7208.888466 | 7180.911929 | |||||||
| 0 | 0 | 0 | 20732.81404 | 19312.71684 | 18497.5901 | 18225.88119 | 0 | 0 | 7226.554031 | 6364.983894 | 6147.302761 | 6092.990628 | 6074.998608 | 0 | 0 | 9107.703308 | 7683.610191 | 7350.65805 | 7268.743013 | 7241.746524 | |||||||
| 0 | 0 | 0 | 21189.41781 | 19399.27316 | 18594.39047 | 18322.68213 | 0 | 0 | 7342.47738 | 6440.972285 | 6221.140673 | 6166.74609 | 6148.726757 | 0 | 0 | 9247.5939 | 7743.294282 | 7370.215102 | 7280.25991 | 7250.613651 | |||||||
| 0 | 0 | 0 | 21385.2276 | 19744.36513 | 18678.10288 | 18326.09624 | 0 | 0 | 7403.924522 | 6497.426886 | 6268.784871 | 6211.703494 | 6192.794105 | 0 | 0 | 9440.3606 | 7946.166317 | 7576.973551 | 7485.333036 | 7455.131351 | |||||||
| 0 | 0 | 0 | 21474.14121 | 19970.09186 | 18891.1665 | 18531.52472 | 0 | 0 | 7532.306141 | 6575.264667 | 6340.686587 | 6283.183334 | 6264.134191 | 0 | 0 | 9537.34585 | 7975.905116 | 7590.688821 | 7495.810967 | 7464.542362 | |||||||
| 0 | 0 | 0 | 21636.73038 | 20120.05927 | 19106.0867 | 18768.09584 | 0 | 0 | 7578.379349 | 6595.952459 | 6365.702828 | 6308.831749 | 6289.992026 | 0 | 0 | 9632.051168 | 8065.896228 | 7691.898079 | 7600.667831 | 7570.601356 | |||||||
| 0 | 0 | 0 | 22118.15502 | 20201.11482 | 19438.9077 | 19184.83865 | 0 | 0 | 7627.855113 | 6647.130953 | 6410.02927 | 6351.3908 | 6331.965592 | 0 | 0 | 9663.540419 | 8125.931005 | 7748.021045 | 7654.823169 | 7624.108229 | |||||||
| 0 | 0 | 0 | 22358.55661 | 20331.82519 | 19529.12277 | 19261.5553 | 0 | 0 | 7695.40044 | 6730.553142 | 6485.304555 | 6423.952983 | 6403.629004 | 0 | 0 | 9825.633125 | 8210.692063 | 7828.144769 | 7733.716031 | 7702.59544 | |||||||
| 0 | 0 | 0 | 22505.17864 | 20626.38708 | 19630.10149 | 19277.58076 | 0 | 0 | 7810.686218 | 6818.558855 | 6574.474654 | 6513.387945 | 6493.151707 | 0 | 0 | 9886.586058 | 8296.134516 | 7902.038938 | 7804.945328 | 7772.946483 | |||||||
| 0 | 0 | 0 | 22671.40786 | 20831.07836 | 19665.95516 | 19298.00629 | 0 | 0 | 7814.464014 | 6831.130316 | 6584.676938 | 6522.896061 | 6502.429865 | 0 | 0 | 9955.614442 | 8369.196344 | 7981.295817 | 7880.94482 | 7847.872448 | |||||||
| 0 | 0 | 0 | 22786.39831 | 21089.24584 | 20021.53463 | 19665.63089 | 0 | 0 | 7940.160952 | 6915.754966 | 6669.473194 | 6609.401475 | 6589.501474 | 0 | 0 | 10096.08502 | 8433.196636 | 8002.361019 | 7896.680678 | 7861.85193 | |||||||
| 0 | 0 | 0 | 23006.86876 | 21258.18904 | 20141.29178 | 19768.99269 | 0 | 0 | 7965.284941 | 6963.628068 | 6726.389007 | 6667.949673 | 6648.590433 | 0 | 0 | 0 | 8516.757206 | 8117.150295 | 8017.866722 | 7985.146138 | |||||||
| 0 | 0 | 0 | 23574.55252 | 21343.51729 | 20453.2814 | 20156.53611 | 0 | 0 | 8069.810062 | 7025.488944 | 6765.037529 | 6700.030531 | 6678.495616 | 0 | 0 | 0 | 8570.653204 | 8134.589793 | 8030.016094 | 7995.552059 | |||||||
| 0 | 0 | 0 | 23770.54376 | 21611.12732 | 20592.75888 | 20253.30274 | 0 | 0 | 8245.336463 | 7176.783365 | 6881.98848 | 6809.900563 | 6786.019947 | 0 | 0 | 0 | 8648.568977 | 8203.445684 | 8095.608889 | 8060.069446 | |||||||
| 0 | 0 | 0 | 23909.61899 | 21763.16588 | 20633.97724 | 20257.58103 | 0 | 0 | 8284.062085 | 7178.805469 | 6916.350191 | 6849.797732 | 6827.750851 | 0 | 0 | 0 | 8716.282382 | 8268.049708 | 8157.324573 | 8120.833228 | |||||||
| 0 | 0 | 0 | 24004.53658 | 22025.4977 | 20987.83001 | 20641.94078 | 0 | 0 | 0 | 7192.370492 | 6927.221478 | 6862.643577 | 6841.25081 | 0 | 0 | 0 | 8768.91916 | 8314.676839 | 8204.211265 | 8167.805463 | |||||||
| 0 | 0 | 0 | 24182.2525 | 22143.21935 | 21082.24069 | 20728.58114 | 0 | 0 | 0 | 7238.231966 | 6958.754885 | 6890.262185 | 6867.572559 | 0 | 0 | 0 | 8968.419285 | 8511.311455 | 8398.213767 | 8360.940507 | |||||||
| 0 | 0 | 0 | 24701.1083 | 22304.45736 | 21315.36676 | 20985.66989 | 0 | 0 | 0 | 7356.360829 | 7086.938357 | 7020.295804 | 6998.219078 | 0 | 0 | 0 | 8975.509221 | 8527.783812 | 8419.398129 | 8383.67779 | |||||||
| 0 | 0 | 0 | 24849.22303 | 22410.93345 | 21446.18427 | 21124.60121 | 0 | 0 | 0 | 7409.633828 | 7124.24052 | 7053.008595 | 7029.411544 | 0 | 0 | 0 | 9048.963342 | 8574.14559 | 8453.874923 | 8414.237686 | |||||||
| 0 | 0 | 0 | 25003.45001 | 22772.01256 | 21564.6507 | 21162.19674 | 0 | 0 | 0 | 7456.354413 | 7149.25157 | 7072.754591 | 7047.413382 | 0 | 0 | 0 | 9091.119583 | 8617.922634 | 8504.021314 | 8466.483203 | |||||||
| 0 | 0 | 0 | 25229.32828 | 23116.70327 | 21673.52418 | 21192.46448 | 0 | 0 | 0 | 7531.296281 | 7239.931064 | 7167.795147 | 7143.89863 | 0 | 0 | 0 | 9208.863325 | 8743.866671 | 8625.729778 | 8586.795763 | |||||||
| 0 | 0 | 0 | 25342.18369 | 23140.44219 | 21971.40528 | 21581.72631 | 0 | 0 | 0 | 7614.996532 | 7297.273094 | 7217.480292 | 7191.047273 | 0 | 0 | 0 | 9279.642583 | 8765.817606 | 8639.244853 | 8597.530657 | |||||||
| 0 | 0 | 0 | 25868.48939 | 23260.57253 | 22291.66743 | 21968.69906 | 0 | 0 | 0 | 7665.335373 | 7361.005415 | 7285.898471 | 7261.01774 | 0 | 0 | 0 | 9419.121807 | 8905.626016 | 8781.24629 | 8740.254843 | |||||||
| 0 | 0 | 0 | 25985.49095 | 23430.90183 | 22393.76208 | 22048.04883 | 0 | 0 | 0 | 7734.912338 | 7414.564755 | 7336.419224 | 7310.531898 | 0 | 0 | 0 | 9475.049902 | 8964.210434 | 8836.275773 | 8794.112738 | |||||||
| 0 | 0 | 0 | 26183.0532 | 23491.42054 | 22514.4019 | 22188.72902 | 0 | 0 | 0 | 7790.292214 | 7475.878475 | 7397.285167 | 7371.249505 | 0 | 0 | 0 | 9490.025737 | 8970.558809 | 8842.724266 | 8800.594225 | |||||||
| 0 | 0 | 0 | 26507.90339 | 23888.2712 | 22649.44398 | 22236.50158 | 0 | 0 | 0 | 7844.730617 | 7512.369883 | 7431.110946 | 7404.19224 | 0 | 0 | 0 | 9542.579627 | 9018.432572 | 8888.55342 | 8845.749544 | |||||||
| 0 | 0 | 0 | 26602.54613 | 24171.35505 | 22805.67481 | 22350.44807 | 0 | 0 | 0 | 7921.871491 | 7608.845047 | 7530.148931 | 7504.079212 | 0 | 0 | 0 | 9581.006131 | 9024.40186 | 8897.049994 | 8855.079028 | |||||||
| 0 | 0 | 0 | 26819.49537 | 24236.89446 | 23009.34037 | 22600.15567 | 0 | 0 | 0 | 7944.516211 | 7625.975468 | 7549.11531 | 7523.65379 | 0 | 0 | 0 | 9820.199002 | 9276.892059 | 9140.616798 | 9095.704975 | |||||||
| 0 | 0 | 0 | 0 | 24362.69463 | 23332.77587 | 22988.86992 | 0 | 0 | 0 | 8022.900902 | 7676.36196 | 7590.190918 | 7561.644976 | 0 | 0 | 0 | 9854.463341 | 9302.987838 | 9167.690242 | 9123.100627 | |||||||
| 0 | 0 | 0 | 0 | 24546.95474 | 23378.39112 | 22989.46961 | 0 | 0 | 0 | 8110.295993 | 7796.933947 | 7717.677086 | 7691.421609 | 0 | 0 | 0 | 9948.469879 | 9388.582615 | 9252.479489 | 9207.624396 | |||||||
| 0 | 0 | 0 | 0 | 24969.08005 | 23564.03157 | 23095.68208 | 0 | 0 | 0 | 8170.043184 | 7827.586319 | 7744.452274 | 7716.912399 | 0 | 0 | 0 | 10001.10131 | 9458.967416 | 9323.915917 | 9279.407407 | |||||||
| 0 | 0 | 0 | 0 | 25025.99987 | 23619.9401 | 23151.25351 | 0 | 0 | 0 | 8207.007542 | 7857.912943 | 7770.44306 | 7741.466849 | 0 | 0 | 0 | 0 | 9537.129495 | 9388.173278 | 9339.082233 | |||||||
| 0 | 0 | 0 | 0 | 25233.04257 | 24001.86834 | 23591.47692 | 0 | 0 | 0 | 8293.326694 | 7923.569336 | 7833.90534 | 7804.202284 | 0 | 0 | 0 | 0 | 9545.842608 | 9408.501167 | 9363.237967 | |||||||
| 0 | 0 | 0 | 0 | 25388.18432 | 24197.13465 | 23800.1181 | 0 | 0 | 0 | 0 | 8010.03106 | 7921.314957 | 7891.92591 | 0 | 0 | 0 | 0 | 9596.231931 | 9451.52776 | 9403.838048 | |||||||
| 0 | 0 | 0 | 0 | 25465.34787 | 24330.9042 | 23952.7563 | 0 | 0 | 0 | 0 | 8073.882552 | 7981.337744 | 7950.680359 | 0 | 0 | 0 | 0 | 9700.062969 | 9546.792716 | 9496.279906 | |||||||
| 0 | 0 | 0 | 0 | 25716.41848 | 24501.05355 | 24095.93191 | 0 | 0 | 0 | 0 | 8097.656446 | 8003.062655 | 7971.726502 | 0 | 0 | 0 | 0 | 9705.077177 | 9553.644777 | 9503.737663 | |||||||
| 0 | 0 | 0 | 0 | 25977.19668 | 24621.0464 | 24122.40111 | 0 | 0 | 0 | 0 | 8156.799877 | 8063.0037 | 8031.931773 | 0 | 0 | 0 | 0 | 9853.473466 | 9702.449691 | 9652.677247 | |||||||
| 0 | 0 | 0 | 0 | 26236.48547 | 24650.9222 | 24168.99631 | 0 | 0 | 0 | 0 | 8204.577505 | 8107.587842 | 8075.458007 | 0 | 0 | 0 | 0 | 9891.474843 | 9740.530345 | 9690.784027 | |||||||
| 0 | 0 | 0 | 0 | 26463.61982 | 25026.39049 | 24547.31404 | 0 | 0 | 0 | 0 | 8247.844428 | 8152.833583 | 8121.359272 | 0 | 0 | 0 | 0 | 9967.923464 | 9813.597152 | 9762.7363 | |||||||
| 0 | 0 | 0 | 0 | 26541.05989 | 25199.22579 | 24751.94776 | 0 | 0 | 0 | 0 | 8338.450907 | 8246.721006 | 8216.333576 | 0 | 0 | 0 | 0 | 10049.35559 | 9887.456198 | 9834.099509 | |||||||
| 0 | 0 | 0 | 0 | 26863.34795 | 25429.21647 | 24951.17265 | 0 | 0 | 0 | 0 | 0 | 8297.197107 | 0 | 0 | 0 | 0 | 0 | 0 | 10020.46957 | ||||||||
| 0 | 0 | 0 | 0 | 26902.62806 | 25588.32448 | 25150.22328 | 8345.463082 | 0 | |||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 25696.21592 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26013.69136 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26055.79222 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26275.28804 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26474.15526 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26660.066 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26791.88771 | ||||||||||||||||||||||
| 0 | 0 | 0 | 0 | 0 | 26851.70636 |