last-generated=2017-01-19
statistics-simulation=
{
  "numerical Jacobians": "0", 
  "nonlinear": " ", 
  "number of continuous time states": "3", 
  "linear": " "
}
der(hLiqCod)=[0., 13.55615997314453125, 54.224639892578125, 122.00543975830078125, 216.8985595703125, 338.90399169921875, 488.021759033203125, 664.2518310546875, 867.59423828125, 1098.0489501953125, 1355.615966796875, 1640.29541015625, 1952.0870361328125, 2290.990966796875, 2657.00732421875, 3050.135986328125, 3470.376953125, 3917.730224609375, 4392.19580078125, 4893.77392578125, 5422.4638671875, 5978.2666015625, 6561.181640625, 7171.20849609375, 7808.34814453125, 8472.599609375, 9163.9638671875, 9882.4404296875, 10628.029296875, 11400.73046875, 12200.5439453125, 13027.4697265625, 13881.5078125, 14762.658203125, 15670.9208984375, 16606.296875, 17568.783203125, 18558.3828125, 19575.095703125, 20618.919921875, 21689.85546875, 22787.904296875, 23913.06640625, 25065.33984375, 26244.7265625, 27451.224609375, 28684.833984375, 29945.556640625, 31233.392578125, 32548.33984375, 33890.3984375, 35259.5703125, 36655.85546875, 38079.25390625, 39529.76171875, 41007.3828125, 42512.1171875, 44043.96484375, 45602.921875, 47188.9921875, 48802.17578125, 50442.47265625, 52109.87890625, 53804.3984375, 55526.03125, 57274.77734375, 59050.6328125, 60853.6015625, 62683.68359375, 64540.87890625, 66425.1875, 68336.6015625, 70275.1328125, 72240.7734375, 74233.53125, 76253.3984375, 78300.3828125, 80374.46875, 82475.6796875, 84603.9921875, 86759.421875, 88941.96875, 91151.6171875, 93388.3828125, 95652.265625, 97943.2578125, 100261.359375, 102606.578125, 104978.90625, 107378.34375, 109804.8984375, 112258.5625, 114739.3359375, 117247.2265625, 119782.2265625, 122344.34375, 124933.5703125, 127549.90625, 130193.359375, 132863.921875, 135561.59375, 138286.390625, 141038.28125, 143817.296875, 146623.421875, 149456.65625, 152317.015625, 155204.46875, 158119.046875, 161060.734375, 164029.53125, 167025.453125, 170048.46875, 173098.609375, 176175.859375, 179280.21875, 182411.6875, 185570.28125, 188755.96875, 191968.78125, 195208.703125, 198475.734375, 201769.890625, 205091.140625, 208439.515625, 211815., 215217.59375, 218647.296875, 222104.125, 225588.0625, 229099.109375, 232637.265625, 236202.53125, 239794.921875, 243414.40625, 247061.015625, 250734.734375, 254435.5625, 258163.515625, 261918.5625, 265700.75, 269510.03125, 273346.40625, 277209.90625, 281100.53125, 285018.25, 288963.09375, 292935.0625, 296934.125, 300960.3125, 305013.59375, 309094., 313201.53125, 317336.15625, 321497.875, 325686.75, 329902.71875, 334145.78125, 338415.96875, 342713.28125, 347037.6875, 351389.21875, 355767.875, 360173.625, 364606.46875, 369066.46875, 373553.53125, 378067.75, 382609.0625, 387177.5, 391773.03125, 396395.6875, 401045.4375, 405722.3125, 410426.3125, 415157.40625, 419915.625, 424700.9375, 429513.375, 434352.9375, 439219.59375, 444113.34375, 449034.25, 453982.25, 458957.34375, 463959.5625, 468988.90625, 474045.34375, 479128.90625, 484239.59375, 489377.375, 494542.28125, 499734.28125, 504953.40625, 510199.625, 515472.96875, 520773.4375, 526101., 531455.6875, 536837.5, 542246.375, 547682.4375, 553145.5625, 558635.8125, 564153.125, 569697.625, 575269.1875, 580867.875, 586493.6875, 592146.625, 597826.625, 603533.8125, 609268.0625, 615029.4375, 620817.875, 626633.5, 632476.1875, 638346., 644242.9375, 650167., 656118.125, 662096.4375, 668101.8125, 674134.25, 680193.875, 686280.625, 692394.4375, 698535.375, 704703.4375, 710898.5625, 717120.875, 723370.25, 729646.75, 735950.375, 742281.125, 748638.9375, 755023.875, 761435.9375, 767875.125, 774341.4375, 780834.8125, 787355.3125, 793902.9375, 800477.6875, 807079.5625, 813708.5, 820364.5625, 827047.75, 833758.0625, 840495.5, 847260., 854051.625, 860870.375, 867716.25, 874589.1875, 881489.3125, 888416.5, 895370.8125, 902352.25, 909360.75, 916396.4375, 923459.1875, 930549.0625, 937666., 944810.125, 951981.3125, 959179.6875, 966405.0625, 973657.625, 980937.3125, 988244.0625, 995577.9375, 1002938.9375, 1010327.0625, 1017742.25, 1025184.625, 1032654.0625, 1040150.625, 1047674.25, 1055225., 1062803., 1070408., 1078040.125, 1085699.25, 1093385.625, 1101099.125, 1108839.625, 1116607.375, 1124402.125, 1132224., 1140073., 1147949.125, 1155852.375, 1163782.75, 1171740.25, 1179724.875, 1187736.5, 1195775.375, 1203841.25, 1211934.25, 1220054.375, 1228201.625, 1236376., 1244577.5, 1252806.125, 1261061.75, 1269344.625, 1277654.5, 1285991.5, 1294355.75, 1302747., 1311165.375, 1319610.875, 1328083.5, 1336583.125, 1345110., 1353663.875, 1362245., 1370853.125, 1379488.375, 1388150.75, 1396840.25, 1405556.875, 1414300.625, 1423071.5, 1431869.375, 1440694.5, 1449546.625, 1458425.875, 1467332.375, 1476265.875, 1485226.5, 1494214.125, 1503229., 1512271., 1521340., 1530436.25, 1539559.5, 1548710., 1557887.5, 1567092.125, 1576323.875, 1585582.75, 1594868.625, 1604181.75, 1613522., 1622889.25, 1632283.625, 1641705.25, 1651153.875, 1660629.625, 1670132.5, 1679662.5, 1689219.5, 1698803.75, 1708415.125, 1718053.5, 1727719., 1737411.75, 1747131.5, 1756878.375, 1766652.375, 1776453.375, 1786281.625, 1796137., 1806019.375, 1815929., 1825865.625, 1835829.375, 1845820.25, 1855838.25, 1865883.375, 1875955.625, 1886055., 1896181.375, 1906335., 1916515.625, 1926723.5, 1936958.375, 1947220.375, 1957509.5, 1967825.75, 1978169.125, 1988539.5, 1998937.125, 2009361.875, 2019813.625, 2030292.5, 2040798.5, 2051331.625, 2061891.875, 2072479.25, 2083093.75, 2093735.375, 2104404., 2115099.75, 2125822.75, 2136572.75, 2147350., 2158154.25, 2168985.5, 2179844., 2190729.75, 2201642.5, 2212582.25, 2223549.25, 2234543.25, 2245564.25, 2256612.5, 2267688., 2278790.5, 2289920., 2301076.75, 2312260.75, 2323471.5, 2334709.75, 2345974.75, 2357267., 2368586.5, 2379933., 2391306.5, 2402707.25, 2414135.25, 2425590.25, 2437072.25, 2448581.5, 2460117.75, 2471681., 2483271.5, 2494889.25, 2506534., 2518205.75, 2529904.75, 2541631., 2553384., 2565164.5, 2576971.75, 2588806.25, 2600668., 2612556.75, 2624472.5, 2636415.5, 2648385.75, 2660382.75, 2672407.25, 2684458.5, 2696537., 2708642.75, 2720775.5, 2732935.5, 2745122.5, 2757336.5, 2769577.75, 2781846., 2794141.5, 2806464., 2818813.75, 2831190.5, 2843594.25, 2856025.25, 2868483.5, 2880968.75, 2893481., 2906020.5, 2918587., 2931180.75, 2943801.5, 2956449.5, 2969124.5, 2981826.5, 2994555.75, 3007312., 3020095.5, 3032906., 3045743.75, 3058608.5, 3071500.5, 3084419.5, 3097365.75, 3110339., 3123339.25, 3136366.75, 3149421.25, 3162503., 3175611.75, 3188747.75, 3201910.75, 3215101., 3228318.25, 3241562.5, 3254834., 3268132.5, 3281458.25, 3294811.25, 3308191., 3321598., 3335032.25, 3348493.5, 3361982., 3375497.5, 3389040., 3389040.]
der(hLiqSym)=[0., 13.55615997314453125, 54.224639892578125, 122.00543975830078125, 216.8985595703125, 338.90399169921875, 488.021759033203125, 664.2518310546875, 867.59423828125, 1098.0489501953125, 1355.615966796875, 1640.29541015625, 1952.0870361328125, 2290.990966796875, 2657.00732421875, 3050.135986328125, 3470.376953125, 3917.730224609375, 4392.19580078125, 4893.77392578125, 5422.4638671875, 5978.2666015625, 6561.181640625, 7171.20849609375, 7808.34814453125, 8472.599609375, 9163.9638671875, 9882.4404296875, 10628.029296875, 11400.73046875, 12200.5439453125, 13027.4697265625, 13881.5078125, 14762.658203125, 15670.9208984375, 16606.296875, 17568.783203125, 18558.3828125, 19575.095703125, 20618.919921875, 21689.85546875, 22787.904296875, 23913.06640625, 25065.33984375, 26244.7265625, 27451.224609375, 28684.833984375, 29945.556640625, 31233.392578125, 32548.33984375, 33890.3984375, 35259.5703125, 36655.85546875, 38079.25390625, 39529.76171875, 41007.3828125, 42512.1171875, 44043.96484375, 45602.921875, 47188.9921875, 48802.17578125, 50442.47265625, 52109.87890625, 53804.3984375, 55526.03125, 57274.77734375, 59050.6328125, 60853.6015625, 62683.68359375, 64540.87890625, 66425.1875, 68336.6015625, 70275.1328125, 72240.7734375, 74233.53125, 76253.3984375, 78300.3828125, 80374.46875, 82475.6796875, 84603.9921875, 86759.421875, 88941.96875, 91151.6171875, 93388.3828125, 95652.265625, 97943.2578125, 100261.359375, 102606.578125, 104978.90625, 107378.34375, 109804.8984375, 112258.5625, 114739.3359375, 117247.2265625, 119782.2265625, 122344.34375, 124933.5703125, 127549.90625, 130193.359375, 132863.921875, 135561.59375, 138286.390625, 141038.28125, 143817.296875, 146623.421875, 149456.65625, 152317.015625, 155204.46875, 158119.046875, 161060.734375, 164029.53125, 167025.453125, 170048.46875, 173098.609375, 176175.859375, 179280.21875, 182411.6875, 185570.28125, 188755.96875, 191968.78125, 195208.703125, 198475.734375, 201769.890625, 205091.140625, 208439.515625, 211815., 215217.59375, 218647.296875, 222104.125, 225588.0625, 229099.109375, 232637.265625, 236202.53125, 239794.921875, 243414.40625, 247061.015625, 250734.734375, 254435.5625, 258163.515625, 261918.5625, 265700.75, 269510.03125, 273346.40625, 277209.90625, 281100.53125, 285018.25, 288963.09375, 292935.0625, 296934.125, 300960.3125, 305013.59375, 309094., 313201.53125, 317336.15625, 321497.875, 325686.75, 329902.71875, 334145.78125, 338415.96875, 342713.28125, 347037.6875, 351389.21875, 355767.875, 360173.625, 364606.46875, 369066.46875, 373553.53125, 378067.75, 382609.0625, 387177.5, 391773.03125, 396395.6875, 401045.4375, 405722.3125, 410426.3125, 415157.40625, 419915.625, 424700.9375, 429513.375, 434352.9375, 439219.59375, 444113.34375, 449034.25, 453982.25, 458957.34375, 463959.5625, 468988.90625, 474045.34375, 479128.90625, 484239.59375, 489377.375, 494542.28125, 499734.28125, 504953.40625, 510199.625, 515472.96875, 520773.4375, 526101., 531455.6875, 536837.5, 542246.375, 547682.4375, 553145.5625, 558635.8125, 564153.125, 569697.625, 575269.1875, 580867.875, 586493.6875, 592146.625, 597826.625, 603533.8125, 609268.0625, 615029.4375, 620817.875, 626633.5, 632476.1875, 638346., 644242.9375, 650167., 656118.125, 662096.4375, 668101.8125, 674134.25, 680193.875, 686280.625, 692394.4375, 698535.375, 704703.4375, 710898.5625, 717120.875, 723370.25, 729646.75, 735950.375, 742281.125, 748638.9375, 755023.875, 761435.9375, 767875.125, 774341.4375, 780834.8125, 787355.3125, 793902.9375, 800477.6875, 807079.5625, 813708.5, 820364.5625, 827047.75, 833758.0625, 840495.5, 847260., 854051.625, 860870.375, 867716.25, 874589.1875, 881489.3125, 888416.5, 895370.8125, 902352.25, 909360.75, 916396.4375, 923459.1875, 930549.0625, 937666., 944810.125, 951981.3125, 959179.6875, 966405.0625, 973657.625, 980937.3125, 988244.0625, 995577.9375, 1002938.9375, 1010327.0625, 1017742.25, 1025184.625, 1032654.0625, 1040150.625, 1047674.25, 1055225., 1062803., 1070408., 1078040.125, 1085699.25, 1093385.625, 1101099.125, 1108839.625, 1116607.375, 1124402.125, 1132224., 1140073., 1147949.125, 1155852.375, 1163782.75, 1171740.25, 1179724.875, 1187736.5, 1195775.375, 1203841.25, 1211934.25, 1220054.375, 1228201.625, 1236376., 1244577.5, 1252806.125, 1261061.75, 1269344.625, 1277654.5, 1285991.5, 1294355.75, 1302747., 1311165.375, 1319610.875, 1328083.5, 1336583.125, 1345110., 1353663.875, 1362245., 1370853.125, 1379488.375, 1388150.75, 1396840.25, 1405556.875, 1414300.625, 1423071.5, 1431869.375, 1440694.5, 1449546.625, 1458425.875, 1467332.375, 1476265.875, 1485226.5, 1494214.125, 1503229., 1512271., 1521340., 1530436.25, 1539559.5, 1548710., 1557887.5, 1567092.125, 1576323.875, 1585582.75, 1594868.625, 1604181.75, 1613522., 1622889.25, 1632283.625, 1641705.25, 1651153.875, 1660629.625, 1670132.5, 1679662.5, 1689219.5, 1698803.75, 1708415.125, 1718053.5, 1727719., 1737411.75, 1747131.5, 1756878.375, 1766652.375, 1776453.375, 1786281.625, 1796137., 1806019.375, 1815929., 1825865.625, 1835829.375, 1845820.25, 1855838.25, 1865883.375, 1875955.625, 1886055., 1896181.375, 1906335., 1916515.625, 1926723.5, 1936958.375, 1947220.375, 1957509.5, 1967825.75, 1978169.125, 1988539.5, 1998937.125, 2009361.875, 2019813.625, 2030292.5, 2040798.5, 2051331.625, 2061891.875, 2072479.25, 2083093.75, 2093735.375, 2104404., 2115099.75, 2125822.75, 2136572.75, 2147350., 2158154.25, 2168985.5, 2179844., 2190729.75, 2201642.5, 2212582.25, 2223549.25, 2234543.25, 2245564.25, 2256612.5, 2267688., 2278790.5, 2289920., 2301076.75, 2312260.75, 2323471.5, 2334709.75, 2345974.75, 2357267., 2368586.5, 2379933., 2391306.5, 2402707.25, 2414135.25, 2425590.25, 2437072.25, 2448581.5, 2460117.75, 2471681., 2483271.5, 2494889.25, 2506534., 2518205.75, 2529904.75, 2541631., 2553384., 2565164.5, 2576971.75, 2588806.25, 2600668., 2612556.75, 2624472.5, 2636415.5, 2648385.75, 2660382.75, 2672407.25, 2684458.5, 2696537., 2708642.75, 2720775.5, 2732935.5, 2745122.5, 2757336.5, 2769577.75, 2781846., 2794141.5, 2806464., 2818813.75, 2831190.5, 2843594.25, 2856025.25, 2868483.5, 2880968.75, 2893481., 2906020.5, 2918587., 2931180.75, 2943801.5, 2956449.5, 2969124.5, 2981826.5, 2994555.75, 3007312., 3020095.5, 3032906., 3045743.75, 3058608.5, 3071500.5, 3084419.5, 3097365.75, 3110339., 3123339.25, 3136366.75, 3149421.25, 3162503., 3175611.75, 3188747.75, 3201910.75, 3215101., 3228318.25, 3241562.5, 3254834., 3268132.5, 3281458.25, 3294811.25, 3308191., 3321598., 3335032.25, 3348493.5, 3361982., 3375497.5, 3389040., 3389040.]
der(hAirCod)=[0., 3.25943994522094726562, 13.0377597808837890625, 29.3349609375, 52.15103912353515625, 81.48600006103515625, 117.33984375, 159.712554931640625, 208.604156494140625, 264.0146484375, 325.944000244140625, 394.392242431640625, 469.359375, 550.8453369140625, 638.8502197265625, 733.3740234375, 834.4166259765625, 941.9781494140625, 1056.05859375, 1176.6578369140625, 1303.7760009765625, 1437.4130859375, 1577.5689697265625, 1724.2437744140625, 1877.4375, 2037.1500244140625, 2203.38134765625, 2376.1318359375, 2555.40087890625, 2741.18896484375, 2933.49609375, 3132.32177734375, 3337.66650390625, 3549.5302734375, 3767.91259765625, 3992.81396484375, 4224.234375, 4462.17333984375, 4706.63134765625, 4957.6083984375, 5215.10400390625, 5479.11865234375, 5749.65234375, 6026.70458984375, 6310.27587890625, 6600.3662109375, 6896.97509765625, 7200.10302734375, 7509.75, 7825.91552734375, 8148.60009765625, 8477.8037109375, 8813.525390625, 9155.7666015625, 9504.52734375, 9859.8056640625, 10221.603515625, 10589.9208984375, 10964.755859375, 11346.1103515625, 11733.984375, 12128.3759765625, 12529.287109375, 12936.7177734375, 13350.666015625, 13771.1337890625, 14198.12109375, 14631.6259765625, 15071.650390625, 15518.193359375, 15971.255859375, 16430.837890625, 16896.9375, 17369.556640625, 17848.693359375, 18334.349609375, 18826.525390625, 19325.220703125, 19830.43359375, 20342.166015625, 20860.416015625, 21385.185546875, 21916.474609375, 22454.28125, 22998.609375, 23549.453125, 24106.818359375, 24670.701171875, 25241.103515625, 25818.0234375, 26401.46484375, 26991.421875, 27587.900390625, 28190.896484375, 28800.412109375, 29416.4453125, 30039., 30668.0703125, 31303.662109375, 31945.771484375, 32594.400390625, 33249.546875, 33911.21484375, 34579.3984375, 35254.1015625, 35935.32421875, 36623.06640625, 37317.328125, 38018.109375, 38725.40625, 39439.22265625, 40159.55859375, 40886.4140625, 41619.7890625, 42359.68359375, 43106.09375, 43859.0234375, 44618.47265625, 45384.44140625, 46156.9296875, 46935.9375, 47721.4609375, 48513.50390625, 49312.06640625, 50117.1484375, 50928.75, 51746.87109375, 52571.5078125, 53402.6640625, 54240.33984375, 55084.53515625, 55935.25, 56792.484375, 57656.234375, 58526.50390625, 59403.29296875, 60286.6015625, 61176.4296875, 62072.7734375, 62975.640625, 63885.0234375, 64800.92578125, 65723.3515625, 66652.2890625, 67587.75, 68529.7265625, 69478.2265625, 70433.2421875, 71394.7734375, 72362.828125, 73337.3984375, 74318.4921875, 75306.1015625, 76300.234375, 77300.8828125, 78308.046875, 79321.734375, 80341.9375, 81368.6640625, 82401.90625, 83441.6640625, 84487.9453125, 85540.7421875, 86600.0625, 87665.8984375, 88738.2578125, 89817.125, 90902.5234375, 91994.4375, 93092.8671875, 94197.8125, 95309.28125, 96427.2734375, 97551.78125, 98682.8046875, 99820.3515625, 100964.4140625, 102114.9921875, 103272.09375, 104435.71875, 105605.859375, 106782.515625, 107965.6875, 109155.3828125, 110351.6015625, 111554.3359375, 112763.5859375, 113979.359375, 115201.6484375, 116430.453125, 117665.78125, 118907.6328125, 120156., 121410.8828125, 122672.28125, 123940.203125, 125214.6484375, 126495.609375, 127783.0859375, 129077.0859375, 130377.6015625, 131684.640625, 132998.1875, 134318.265625, 135644.859375, 136977.96875, 138317.59375, 139663.75, 141016.40625, 142375.59375, 143741.296875, 145113.53125, 146492.265625, 147877.53125, 149269.3125, 150667.609375, 152072.4375, 153483.765625, 154901.625, 156326., 157756.890625, 159194.3125, 160638.234375, 162088.6875, 163545.65625, 165009.15625, 166479.15625, 167955.6875, 169438.734375, 170928.296875, 172424.375, 173926.984375, 175436.09375, 176951.734375, 178473.890625, 180002.578125, 181537.765625, 183079.484375, 184627.71875, 186182.46875, 187743.75, 189311.53125, 190885.84375, 192466.671875, 194054.015625, 195647.890625, 197248.265625, 198855.171875, 200468.59375, 202088.546875, 203715., 205347.984375, 206987.484375, 208633.5, 210286.03125, 211945.09375, 213610.65625, 215282.75, 216961.359375, 218646.5, 220338.140625, 222036.3125, 223741., 225452.203125, 227169.9375, 228894.171875, 230624.9375, 232362.21875, 234106.015625, 235856.34375, 237613.171875, 239376.53125, 241146.40625, 242922.796875, 244705.71875, 246495.15625, 248291.09375, 250093.578125, 251902.5625, 253718.0625, 255540.09375, 257368.640625, 259203.703125, 261045.296875, 262893.40625, 264748., 266609.15625, 268476.8125, 270351., 272231.6875, 274118.90625, 276012.625, 277912.90625, 279819.65625, 281732.96875, 283652.78125, 285579.09375, 287511.9375, 289451.3125, 291397.1875, 293349.59375, 295308.53125, 297273.96875, 299245.9375, 301224.40625, 303209.40625, 305200.9375, 307198.96875, 309203.53125, 311214.59375, 313232.1875, 315256.28125, 317286.9375, 319324.0625, 321367.75, 323417.9375, 325474.65625, 327537.875, 329607.625, 331683.875, 333766.65625, 335855.96875, 337951.78125, 340054.125, 342162.96875, 344278.34375, 346400.25, 348528.65625, 350663.59375, 352805.03125, 354953.03125, 357107.5, 359268.5, 361436.03125, 363610.09375, 365790.65625, 367977.75, 370171.34375, 372371.46875, 374578.09375, 376791.25, 379010.9375, 381237.125, 383469.84375, 385709.09375, 387954.84375, 390207.125, 392465.90625, 394731.21875, 397003.0625, 399281.40625, 401566.28125, 403857.65625, 406155.5625, 408459.96875, 410770.9375, 413088.375, 415412.375, 417742.875, 420079.875, 422423.4375, 424773.46875, 427130.0625, 429493.15625, 431862.75, 434238.90625, 436621.53125, 439010.71875, 441406.40625, 443808.625, 446217.34375, 448632.59375, 451054.34375, 453482.625, 455917.4375, 458358.75, 460806.59375, 463260.9375, 465721.8125, 468189.21875, 470663.125, 473143.5625, 475630.53125, 478124., 480624., 483130.5, 485643.53125, 488163.0625, 490689.125, 493221.71875, 495760.8125, 498306.4375, 500858.59375, 503417.25, 505982.4375, 508554.125, 511132.34375, 513717.09375, 516308.34375, 518906.09375, 521510.40625, 524121.21875, 526738.5625, 529362.375, 531992.75, 534629.625, 537273.0625, 539923., 542579.4375, 545242.375, 547911.875, 550587.875, 553270.375, 555959.4375, 558655., 561357.0625, 564065.625, 566780.75, 569502.375, 572230.5625, 574965.1875, 577706.375, 580454.125, 583208.3125, 585969.0625, 588736.375, 591510.125, 594290.4375, 597077.25, 599870.625, 602670.4375, 605476.8125, 608289.75, 611109.125, 613935.0625, 616767.5625, 619606.5, 622452., 625304., 628162.5625, 631027.5625, 633899.125, 636777.25, 639661.8125, 642552.9375, 645450.625, 648354.75, 651265.4375, 654182.625, 657106.375, 660036.625, 662973.375, 665916.625, 668866.4375, 671822.75, 674785.5625, 677754.9375, 680730.8125, 683713.1875, 686702.0625, 689697.5, 692699.4375, 695707.9375, 698722.875, 701744.375, 704772.4375, 707806.9375, 710848., 713895.5625, 716949.6875, 720010.3125, 723077.4375, 726151.0625, 729231.25, 732317.9375, 735411.125, 738510.875, 741617.125, 744729.875, 747849.1875, 750975., 754107.3125, 757246.125, 760391.5, 763543.375, 766701.75, 769866.6875, 773038.125, 776216.0625, 779400.5625, 782591.5625, 785789.0625, 788993.0625, 792203.625, 795420.6875, 798644.3125, 801874.375, 805111., 808354.1875, 811603.8125, 814860., 814860.]
der(hSteCod)=[0., 6.02640008926391601562, 24.1056003570556640625, 54.237598419189453125, 96.42240142822265625, 150.660003662109375, 216.9503936767578125, 295.293609619140625, 385.689605712890625, 488.138397216796875, 602.6400146484375, 729.19439697265625, 867.80157470703125, 1018.46160888671875, 1181.1744384765625, 1355.93994140625, 1542.7584228515625, 1741.629638671875, 1952.5535888671875, 2175.530517578125, 2410.56005859375, 2657.642333984375, 2916.777587890625, 3187.965576171875, 3471.206298828125, 3766.5, 4073.846435546875, 4393.24560546875, 4724.69775390625, 5068.20263671875, 5423.759765625, 5791.37060546875, 6171.03369140625, 6562.74951171875, 6966.5185546875, 7382.33984375, 7810.21435546875, 8250.1416015625, 8702.1220703125, 9166.154296875, 9642.240234375, 10130.3779296875, 10630.5693359375, 11142.8134765625, 11667.1103515625, 12203.4599609375, 12751.8623046875, 13312.3173828125, 13884.8251953125, 14469.38671875, 15066., 15674.666015625, 16295.3857421875, 16928.158203125, 17572.982421875, 18229.859375, 18898.791015625, 19579.7734375, 20272.810546875, 20977.8984375, 21695.0390625, 22424.234375, 23165.482421875, 23918.78125, 24684.134765625, 25461.5390625, 26250.998046875, 27052.509765625, 27866.07421875, 28691.689453125, 29529.359375, 30379.08203125, 31240.857421875, 32114.685546875, 33000.56640625, 33898.5, 34808.48828125, 35730.52734375, 36664.6171875, 37610.76171875, 38568.9609375, 39539.2109375, 40521.51171875, 41515.87109375, 42522.27734375, 43540.73828125, 44571.25390625, 45613.8203125, 46668.44140625, 47735.11328125, 48813.83984375, 49904.6171875, 51007.44921875, 52122.33203125, 53249.26953125, 54388.26171875, 55539.30078125, 56702.3984375, 57877.546875, 59064.74609375, 60264., 61475.3046875, 62698.6640625, 63934.078125, 65181.54296875, 66441.0625, 67712.6328125, 68996.25, 70291.9296875, 71599.65625, 72919.4375, 74251.2734375, 75595.1640625, 76951.1015625, 78319.09375, 79699.140625, 81091.2421875, 82495.390625, 83911.59375, 85339.8515625, 86780.15625, 88232.5234375, 89696.9375, 91173.40625, 92661.9296875, 94162.5, 95675.125, 97199.8046875, 98736.5390625, 100285.3203125, 101846.15625, 103419.046875, 105003.9921875, 106600.9921875, 108210.0390625, 109831.140625, 111464.296875, 113109.5, 114766.7578125, 116436.078125, 118117.4375, 119810.859375, 121516.328125, 123233.8515625, 124963.4296875, 126705.0625, 128458.7421875, 130224.4765625, 132002.265625, 133792.109375, 135594., 137407.953125, 139233.953125, 141072., 142922.109375, 144784.265625, 146658.46875, 148544.734375, 150443.046875, 152353.421875, 154275.84375, 156210.3125, 158156.84375, 160115.421875, 162086.046875, 164068.734375, 166063.484375, 168070.265625, 170089.109375, 172120.015625, 174162.953125, 176217.96875, 178285.015625, 180364.125, 182455.28125, 184558.5, 186673.765625, 188801.078125, 190940.453125, 193091.875, 195255.359375, 197430.890625, 199618.46875, 201818.109375, 204029.796875, 206253.546875, 208489.328125, 210737.1875, 212997.078125, 215269.03125, 217553.046875, 219849.09375, 222157.203125, 224477.375, 226809.59375, 229153.859375, 231510.1875, 233878.5625, 236258.984375, 238651.46875, 241056., 243472.59375, 245901.21875, 248341.921875, 250794.65625, 253259.453125, 255736.3125, 258225.21875, 260726.171875, 263239.1875, 265764.25, 268301.34375, 270850.53125, 273411.75, 275985., 278570.34375, 281167.71875, 283777.15625, 286398.625, 289032.15625, 291677.75, 294335.40625, 297005.09375, 299686.84375, 302380.65625, 305086.5, 307804.40625, 310534.375, 313276.375, 316030.4375, 318796.5625, 321574.71875, 324364.96875, 327167.21875, 329981.5625, 332807.9375, 335646.375, 338496.875, 341359.40625, 344234., 347120.625, 350019.34375, 352930.09375, 355852.90625, 358787.75, 361734.65625, 364693.625, 367664.625, 370647.71875, 373642.8125, 376650., 379669.21875, 382700.5, 385743.84375, 388799.21875, 391866.65625, 394946.15625, 398037.6875, 401141.28125, 404256.9375, 407384.625, 410524.40625, 413676.1875, 416840.0625, 420015.96875, 423203.9375, 426403.96875, 429616.03125, 432840.15625, 436076.34375, 439324.5625, 442584.84375, 445857.1875, 449141.5625, 452438., 455746.5, 459067.03125, 462399.65625, 465744.3125, 469101., 472469.75, 475850.5625, 479243.4375, 482648.34375, 486065.3125, 489494.34375, 492935.40625, 496388.53125, 499853.71875, 503330.96875, 506820.25, 510321.59375, 513834.96875, 517360.40625, 520897.90625, 524447.4375, 528009.0625, 531582.6875, 535168.4375, 538766.1875, 542376., 545997.875, 549631.8125, 553277.75, 556935.8125, 560605.875, 564288., 567982.1875, 571688.4375, 575406.6875, 579137.0625, 582879.4375, 586633.875, 590400.375, 594178.9375, 597969.5625, 601772.1875, 605586.9375, 609413.6875, 613252.5, 617103.375, 620966.3125, 624841.25, 628728.3125, 632627.375, 636538.5, 640461.6875, 644396.9375, 648344.1875, 652303.5625, 656274.9375, 660258.4375, 664253.9375, 668261.5, 672281.0625, 676312.75, 680356.4375, 684412.25, 688480.0625, 692559.9375, 696651.8125, 700755.8125, 704871.875, 708999.9375, 713140.0625, 717292.25, 721456.5, 725632.8125, 729821.125, 734021.5625, 738234., 742458.5, 746695.0625, 750943.6875, 755204.3125, 759477.0625, 763761.8125, 768058.625, 772367.5, 776688.4375, 781021.4375, 785366.5, 789723.5625, 794092.6875, 798473.875, 802867.125, 807272.4375, 811689.8125, 816119.1875, 820560.625, 825014.1875, 829479.75, 833957.3125, 838447., 842948.75, 847462.5, 851988.3125, 856526.1875, 861076.125, 865638.125, 870212.1875, 874798.25, 879396.375, 884006.5625, 888628.8125, 893263.125, 897909.5, 902567.875, 907238.375, 911920.875, 916615.4375, 921322.0625, 926040.75, 930771.4375, 935514.25, 940269.0625, 945035.9375, 949814.875, 954605.875, 959408.9375, 964224., 969051.125, 973890.375, 978741.625, 983604.875, 988480.25, 993367.6875, 998267.125, 1003178.625, 1008102.1875, 1013037.8125, 1017985.5, 1022945.25, 1027917., 1032900.875, 1037896.75, 1042904.6875, 1047924.6875, 1052956.75, 1058000.75, 1063057., 1068125.125, 1073205.375, 1078297.75, 1083402.125, 1088518.5, 1093647., 1098787.5, 1103940., 1109104.625, 1114281.375, 1119470.125, 1124670.875, 1129883.75, 1135108.625, 1140345.5, 1145594.5, 1150855.625, 1156128.625, 1161413.875, 1166711., 1172020.25, 1177341.625, 1182675., 1188020.375, 1193377.875, 1198747.375, 1204129., 1209522.625, 1214928.25, 1220346., 1225775.75, 1231217.625, 1236671.5, 1242137.5, 1247615.5, 1253105.5, 1258607.625, 1264121.75, 1269648., 1275186.25, 1280736.5, 1286298.875, 1291873.375, 1297459.875, 1303058.375, 1308668.875, 1314291.5, 1319926.25, 1325573., 1331231.75, 1336902.625, 1342585.5, 1348280.5, 1353987.5, 1359706.5, 1365437.625, 1371180.75, 1376936., 1382703.25, 1388482.5, 1394273.875, 1400077.375, 1405892.875, 1411720.375, 1417560., 1423411.625, 1429275.25, 1435151., 1441038.75, 1446938.625, 1452850.5, 1458774.5, 1464710.5, 1470658.5, 1476618.625, 1482590.875, 1488575., 1494571.25, 1500579.625, 1506600., 1506600.]
der(hAirSym)=[0., 3.25943994522094726562, 13.0377597808837890625, 29.3349609375, 52.15103912353515625, 81.48600006103515625, 117.33984375, 159.712554931640625, 208.604156494140625, 264.0146484375, 325.944000244140625, 394.392242431640625, 469.359375, 550.8453369140625, 638.8502197265625, 733.3740234375, 834.4166259765625, 941.9781494140625, 1056.05859375, 1176.6578369140625, 1303.7760009765625, 1437.4130859375, 1577.5689697265625, 1724.2437744140625, 1877.4375, 2037.1500244140625, 2203.38134765625, 2376.1318359375, 2555.40087890625, 2741.18896484375, 2933.49609375, 3132.32177734375, 3337.66650390625, 3549.5302734375, 3767.91259765625, 3992.81396484375, 4224.234375, 4462.17333984375, 4706.63134765625, 4957.6083984375, 5215.10400390625, 5479.11865234375, 5749.65234375, 6026.70458984375, 6310.27587890625, 6600.3662109375, 6896.97509765625, 7200.10302734375, 7509.75, 7825.91552734375, 8148.60009765625, 8477.8037109375, 8813.525390625, 9155.7666015625, 9504.52734375, 9859.8056640625, 10221.603515625, 10589.9208984375, 10964.755859375, 11346.1103515625, 11733.984375, 12128.3759765625, 12529.287109375, 12936.7177734375, 13350.666015625, 13771.1337890625, 14198.12109375, 14631.6259765625, 15071.650390625, 15518.193359375, 15971.255859375, 16430.837890625, 16896.9375, 17369.556640625, 17848.693359375, 18334.349609375, 18826.525390625, 19325.220703125, 19830.43359375, 20342.166015625, 20860.416015625, 21385.185546875, 21916.474609375, 22454.28125, 22998.609375, 23549.453125, 24106.818359375, 24670.701171875, 25241.103515625, 25818.0234375, 26401.46484375, 26991.421875, 27587.900390625, 28190.896484375, 28800.412109375, 29416.4453125, 30039., 30668.0703125, 31303.662109375, 31945.771484375, 32594.400390625, 33249.546875, 33911.21484375, 34579.3984375, 35254.1015625, 35935.32421875, 36623.06640625, 37317.328125, 38018.109375, 38725.40625, 39439.22265625, 40159.55859375, 40886.4140625, 41619.7890625, 42359.68359375, 43106.09375, 43859.0234375, 44618.47265625, 45384.44140625, 46156.9296875, 46935.9375, 47721.4609375, 48513.50390625, 49312.06640625, 50117.1484375, 50928.75, 51746.87109375, 52571.5078125, 53402.6640625, 54240.33984375, 55084.53515625, 55935.25, 56792.484375, 57656.234375, 58526.50390625, 59403.29296875, 60286.6015625, 61176.4296875, 62072.7734375, 62975.640625, 63885.0234375, 64800.92578125, 65723.3515625, 66652.2890625, 67587.75, 68529.7265625, 69478.2265625, 70433.2421875, 71394.7734375, 72362.828125, 73337.3984375, 74318.4921875, 75306.1015625, 76300.234375, 77300.8828125, 78308.046875, 79321.734375, 80341.9375, 81368.6640625, 82401.90625, 83441.6640625, 84487.9453125, 85540.7421875, 86600.0625, 87665.8984375, 88738.2578125, 89817.125, 90902.5234375, 91994.4375, 93092.8671875, 94197.8125, 95309.28125, 96427.2734375, 97551.78125, 98682.8046875, 99820.3515625, 100964.4140625, 102114.9921875, 103272.09375, 104435.71875, 105605.859375, 106782.515625, 107965.6875, 109155.3828125, 110351.6015625, 111554.3359375, 112763.5859375, 113979.359375, 115201.6484375, 116430.453125, 117665.78125, 118907.6328125, 120156., 121410.8828125, 122672.28125, 123940.203125, 125214.6484375, 126495.609375, 127783.0859375, 129077.0859375, 130377.6015625, 131684.640625, 132998.1875, 134318.265625, 135644.859375, 136977.96875, 138317.59375, 139663.75, 141016.40625, 142375.59375, 143741.296875, 145113.53125, 146492.265625, 147877.53125, 149269.3125, 150667.609375, 152072.4375, 153483.765625, 154901.625, 156326., 157756.890625, 159194.3125, 160638.234375, 162088.6875, 163545.65625, 165009.15625, 166479.15625, 167955.6875, 169438.734375, 170928.296875, 172424.375, 173926.984375, 175436.09375, 176951.734375, 178473.890625, 180002.578125, 181537.765625, 183079.484375, 184627.71875, 186182.46875, 187743.75, 189311.53125, 190885.84375, 192466.671875, 194054.015625, 195647.890625, 197248.265625, 198855.171875, 200468.59375, 202088.546875, 203715., 205347.984375, 206987.484375, 208633.5, 210286.03125, 211945.09375, 213610.65625, 215282.75, 216961.359375, 218646.5, 220338.140625, 222036.3125, 223741., 225452.203125, 227169.9375, 228894.171875, 230624.9375, 232362.21875, 234106.015625, 235856.34375, 237613.171875, 239376.53125, 241146.40625, 242922.796875, 244705.71875, 246495.15625, 248291.09375, 250093.578125, 251902.5625, 253718.0625, 255540.09375, 257368.640625, 259203.703125, 261045.296875, 262893.40625, 264748., 266609.15625, 268476.8125, 270351., 272231.6875, 274118.90625, 276012.625, 277912.90625, 279819.65625, 281732.96875, 283652.78125, 285579.09375, 287511.9375, 289451.3125, 291397.1875, 293349.59375, 295308.53125, 297273.96875, 299245.9375, 301224.40625, 303209.40625, 305200.9375, 307198.96875, 309203.53125, 311214.59375, 313232.1875, 315256.28125, 317286.9375, 319324.0625, 321367.75, 323417.9375, 325474.65625, 327537.875, 329607.625, 331683.875, 333766.65625, 335855.96875, 337951.78125, 340054.125, 342162.96875, 344278.34375, 346400.25, 348528.65625, 350663.59375, 352805.03125, 354953.03125, 357107.5, 359268.5, 361436.03125, 363610.09375, 365790.65625, 367977.75, 370171.34375, 372371.46875, 374578.09375, 376791.25, 379010.9375, 381237.125, 383469.84375, 385709.09375, 387954.84375, 390207.125, 392465.90625, 394731.21875, 397003.0625, 399281.40625, 401566.28125, 403857.65625, 406155.5625, 408459.96875, 410770.9375, 413088.375, 415412.375, 417742.875, 420079.875, 422423.4375, 424773.46875, 427130.0625, 429493.15625, 431862.75, 434238.90625, 436621.53125, 439010.71875, 441406.40625, 443808.625, 446217.34375, 448632.59375, 451054.34375, 453482.625, 455917.4375, 458358.75, 460806.59375, 463260.9375, 465721.8125, 468189.21875, 470663.125, 473143.5625, 475630.53125, 478124., 480624., 483130.5, 485643.53125, 488163.0625, 490689.125, 493221.71875, 495760.8125, 498306.4375, 500858.59375, 503417.25, 505982.4375, 508554.125, 511132.34375, 513717.09375, 516308.34375, 518906.09375, 521510.40625, 524121.21875, 526738.5625, 529362.375, 531992.75, 534629.625, 537273.0625, 539923., 542579.4375, 545242.375, 547911.875, 550587.875, 553270.375, 555959.4375, 558655., 561357.0625, 564065.625, 566780.75, 569502.375, 572230.5625, 574965.1875, 577706.375, 580454.125, 583208.3125, 585969.0625, 588736.375, 591510.125, 594290.4375, 597077.25, 599870.625, 602670.4375, 605476.8125, 608289.75, 611109.125, 613935.0625, 616767.5625, 619606.5, 622452., 625304., 628162.5625, 631027.5625, 633899.125, 636777.25, 639661.8125, 642552.9375, 645450.625, 648354.75, 651265.4375, 654182.625, 657106.375, 660036.625, 662973.375, 665916.625, 668866.4375, 671822.75, 674785.5625, 677754.9375, 680730.8125, 683713.1875, 686702.0625, 689697.5, 692699.4375, 695707.9375, 698722.875, 701744.375, 704772.4375, 707806.9375, 710848., 713895.5625, 716949.6875, 720010.3125, 723077.4375, 726151.0625, 729231.25, 732317.9375, 735411.125, 738510.875, 741617.125, 744729.875, 747849.1875, 750975., 754107.3125, 757246.125, 760391.5, 763543.375, 766701.75, 769866.6875, 773038.125, 776216.0625, 779400.5625, 782591.5625, 785789.0625, 788993.0625, 792203.625, 795420.6875, 798644.3125, 801874.375, 805111., 808354.1875, 811603.8125, 814860., 814860.]
time=[0., 0.00200000009499490261, 0.00400000018998980522, 0.00600000005215406418, 0.00800000037997961044, 0.00999999977648258209, 0.01200000010430812836, 0.01400000043213367462, 0.01600000075995922089, 0.01799999922513961792, 0.01999999955296516418, 0.02199999988079071045, 0.02400000020861625671, 0.02600000053644180298, 0.02800000086426734924, 0.02999999932944774628, 0.03200000151991844177, 0.03400000184774398804, 0.03599999845027923584, 0.0379999987781047821, 0.03999999910593032837, 0.04199999943375587463, 0.0439999997615814209, 0.04600000008940696716, 0.04800000041723251343, 0.05000000074505805969, 0.05200000107288360596, 0.05400000140070915222, 0.05600000172853469849, 0.05799999833106994629, 0.05999999865889549255, 0.06199999898672103882, 0.06400000303983688354, 0.06599999964237213135, 0.06800000369548797607, 0.07000000029802322388, 0.07199999690055847168, 0.07400000095367431641, 0.07599999755620956421, 0.07800000160932540894, 0.07999999821186065674, 0.08200000226497650146, 0.08399999886751174927, 0.08600000292062759399, 0.0879999995231628418, 0.09000000357627868652, 0.09200000017881393433, 0.09399999678134918213, 0.09600000083446502686, 0.09799999743700027466, 0.10000000149011611938, 0.10199999809265136719, 0.10400000214576721191, 0.10599999874830245972, 0.10800000280141830444, 0.10999999940395355225, 0.11200000345706939697, 0.11400000005960464478, 0.11599999666213989258, 0.1180000007152557373, 0.11999999731779098511, 0.12200000137090682983, 0.12399999797344207764, 0.12600000202655792236, 0.12800000607967376709, 0.12999999523162841797, 0.1319999992847442627, 0.13400000333786010742, 0.13600000739097595215, 0.13799999654293060303, 0.14000000059604644775, 0.14200000464916229248, 0.14399999380111694336, 0.14599999785423278809, 0.14800000190734863281, 0.15000000596046447754, 0.15199999511241912842, 0.15399999916553497314, 0.15600000321865081787, 0.1580000072717666626, 0.15999999642372131348, 0.1620000004768371582, 0.16400000452995300293, 0.16599999368190765381, 0.16799999773502349854, 0.17000000178813934326, 0.17200000584125518799, 0.17399999499320983887, 0.17599999904632568359, 0.17800000309944152832, 0.18000000715255737305, 0.18199999630451202393, 0.18400000035762786865, 0.18600000441074371338, 0.18799999356269836426, 0.18999999761581420898, 0.19200000166893005371, 0.19400000572204589844, 0.19599999487400054932, 0.19799999892711639404, 0.20000000298023223877, 0.2020000070333480835, 0.20399999618530273438, 0.2060000002384185791, 0.20800000429153442383, 0.20999999344348907471, 0.21199999749660491943, 0.21400000154972076416, 0.21600000560283660889, 0.21799999475479125977, 0.21999999880790710449, 0.22200000286102294922, 0.22400000691413879395, 0.22599999606609344482, 0.22800000011920928955, 0.23000000417232513428, 0.23199999332427978516, 0.23399999737739562988, 0.23600000143051147461, 0.23800000548362731934, 0.23999999463558197021, 0.24199999868869781494, 0.24400000274181365967, 0.24600000679492950439, 0.24799999594688415527, 0.25, 0.25200000405311584473, 0.25400000810623168945, 0.25600001215934753418, 0.25799998641014099121, 0.25999999046325683594, 0.26199999451637268066, 0.26399999856948852539, 0.26600000262260437012, 0.26800000667572021484, 0.27000001072883605957, 0.2720000147819519043, 0.27399998903274536133, 0.27599999308586120605, 0.27799999713897705078, 0.28000000119209289551, 0.28200000524520874023, 0.28400000929832458496, 0.28600001335144042969, 0.28799998760223388672, 0.28999999165534973145, 0.29199999570846557617, 0.2939999997615814209, 0.29600000381469726562, 0.29800000786781311035, 0.30000001192092895508, 0.30199998617172241211, 0.30399999022483825684, 0.30599999427795410156, 0.30799999833106994629, 0.31000000238418579102, 0.31200000643730163574, 0.31400001049041748047, 0.3160000145435333252, 0.31799998879432678223, 0.31999999284744262695, 0.32199999690055847168, 0.32400000095367431641, 0.32600000500679016113, 0.32800000905990600586, 0.33000001311302185059, 0.33199998736381530762, 0.33399999141693115234, 0.33599999547004699707, 0.3379999995231628418, 0.34000000357627868652, 0.34200000762939453125, 0.34400001168251037598, 0.34599998593330383301, 0.34799998998641967773, 0.34999999403953552246, 0.35199999809265136719, 0.35400000214576721191, 0.35600000619888305664, 0.35800001025199890137, 0.36000001430511474609, 0.36199998855590820312, 0.36399999260902404785, 0.36599999666213989258, 0.3680000007152557373, 0.37000000476837158203, 0.37200000882148742676, 0.37400001287460327148, 0.37599998712539672852, 0.37799999117851257324, 0.37999999523162841797, 0.3819999992847442627, 0.38400000333786010742, 0.38600000739097595215, 0.38800001144409179688, 0.38999998569488525391, 0.39199998974800109863, 0.39399999380111694336, 0.39599999785423278809, 0.39800000190734863281, 0.40000000596046447754, 0.40200001001358032227, 0.40400001406669616699, 0.40599998831748962402, 0.40799999237060546875, 0.40999999642372131348, 0.4120000004768371582, 0.41400000452995300293, 0.41600000858306884766, 0.41800001263618469238, 0.41999998688697814941, 0.42199999094009399414, 0.42399999499320983887, 0.42599999904632568359, 0.42800000309944152832, 0.43000000715255737305, 0.43200001120567321777, 0.4339999854564666748, 0.43599998950958251953, 0.43799999356269836426, 0.43999999761581420898, 0.44200000166893005371, 0.44400000572204589844, 0.44600000977516174316, 0.44800001382827758789, 0.44999998807907104492, 0.45199999213218688965, 0.45399999618530273438, 0.4560000002384185791, 0.45800000429153442383, 0.46000000834465026855, 0.46200001239776611328, 0.46399998664855957031, 0.46599999070167541504, 0.46799999475479125977, 0.46999999880790710449, 0.47200000286102294922, 0.47400000691413879395, 0.47600001096725463867, 0.4779999852180480957, 0.47999998927116394043, 0.48199999332427978516, 0.48399999737739562988, 0.48600000143051147461, 0.48800000548362731934, 0.49000000953674316406, 0.49200001358985900879, 0.49399998784065246582, 0.49599999189376831055, 0.49799999594688415527, 0.5, 0.50199997425079345703, 0.50400000810623168945, 0.50599998235702514648, 0.50800001621246337891, 0.50999999046325683594, 0.51200002431869506836, 0.51399999856948852539, 0.51599997282028198242, 0.51800000667572021484, 0.51999998092651367188, 0.5220000147819519043, 0.52399998903274536133, 0.52600002288818359375, 0.52799999713897705078, 0.52999997138977050781, 0.53200000524520874023, 0.53399997949600219727, 0.53600001335144042969, 0.53799998760223388672, 0.54000002145767211914, 0.54199999570846557617, 0.54400002956390380859, 0.54600000381469726562, 0.54799997806549072266, 0.55000001192092895508, 0.55199998617172241211, 0.55400002002716064453, 0.55599999427795410156, 0.55800002813339233398, 0.56000000238418579102, 0.56199997663497924805, 0.56400001049041748047, 0.5659999847412109375, 0.56800001859664916992, 0.56999999284744262695, 0.57200002670288085938, 0.57400000095367431641, 0.57599997520446777344, 0.57800000905990600586, 0.57999998331069946289, 0.58200001716613769531, 0.58399999141693115234, 0.58600002527236938477, 0.5879999995231628418, 0.58999997377395629883, 0.59200000762939453125, 0.59399998188018798828, 0.5960000157356262207, 0.59799998998641967773, 0.60000002384185791016, 0.60199999809265136719, 0.60399997234344482422, 0.60600000619888305664, 0.60799998044967651367, 0.61000001430511474609, 0.61199998855590820312, 0.61400002241134643555, 0.61599999666213989258, 0.61799997091293334961, 0.62000000476837158203, 0.62199997901916503906, 0.62400001287460327148, 0.62599998712539672852, 0.62800002098083496094, 0.62999999523162841797, 0.63200002908706665039, 0.63400000333786010742, 0.63599997758865356445, 0.63800001144409179688, 0.63999998569488525391, 0.64200001955032348633, 0.64399999380111694336, 0.64600002765655517578, 0.64800000190734863281, 0.64999997615814208984, 0.65200001001358032227, 0.6539999842643737793, 0.65600001811981201172, 0.65799999237060546875, 0.66000002622604370117, 0.6620000004768371582, 0.66399997472763061523, 0.66600000858306884766, 0.66799998283386230469, 0.67000001668930053711, 0.67199999094009399414, 0.67400002479553222656, 0.67599999904632568359, 0.67799997329711914062, 0.68000000715255737305, 0.68199998140335083008, 0.6840000152587890625, 0.68599998950958251953, 0.68800002336502075195, 0.68999999761581420898, 0.69199997186660766602, 0.69400000572204589844, 0.69599997997283935547, 0.69800001382827758789, 0.69999998807907104492, 0.70200002193450927734, 0.70399999618530273438, 0.70599997043609619141, 0.70800000429153442383, 0.70999997854232788086, 0.71200001239776611328, 0.71399998664855957031, 0.71600002050399780273, 0.71799999475479125977, 0.72000002861022949219, 0.72200000286102294922, 0.72399997711181640625, 0.72600001096725463867, 0.7279999852180480957, 0.73000001907348632812, 0.73199999332427978516, 0.73400002717971801758, 0.73600000143051147461, 0.73799997568130493164, 0.74000000953674316406, 0.74199998378753662109, 0.74400001764297485352, 0.74599999189376831055, 0.74800002574920654297, 0.75, 0.75199997425079345703, 0.75400000810623168945, 0.75599998235702514648, 0.75800001621246337891, 0.75999999046325683594, 0.76200002431869506836, 0.76399999856948852539, 0.76599997282028198242, 0.76800000667572021484, 0.76999998092651367188, 0.7720000147819519043, 0.77399998903274536133, 0.77600002288818359375, 0.77799999713897705078, 0.77999997138977050781, 0.78200000524520874023, 0.78399997949600219727, 0.78600001335144042969, 0.78799998760223388672, 0.79000002145767211914, 0.79199999570846557617, 0.79400002956390380859, 0.79600000381469726562, 0.79799997806549072266, 0.80000001192092895508, 0.80199998617172241211, 0.80400002002716064453, 0.80599999427795410156, 0.80800002813339233398, 0.81000000238418579102, 0.81199997663497924805, 0.81400001049041748047, 0.8159999847412109375, 0.81800001859664916992, 0.81999999284744262695, 0.82200002670288085938, 0.82400000095367431641, 0.82599997520446777344, 0.82800000905990600586, 0.82999998331069946289, 0.83200001716613769531, 0.83399999141693115234, 0.83600002527236938477, 0.8379999995231628418, 0.83999997377395629883, 0.84200000762939453125, 0.84399998188018798828, 0.8460000157356262207, 0.84799998998641967773, 0.85000002384185791016, 0.85199999809265136719, 0.85399997234344482422, 0.85600000619888305664, 0.85799998044967651367, 0.86000001430511474609, 0.86199998855590820312, 0.86400002241134643555, 0.86599999666213989258, 0.86799997091293334961, 0.87000000476837158203, 0.87199997901916503906, 0.87400001287460327148, 0.87599998712539672852, 0.87800002098083496094, 0.87999999523162841797, 0.88200002908706665039, 0.88400000333786010742, 0.88599997758865356445, 0.88800001144409179688, 0.88999998569488525391, 0.89200001955032348633, 0.89399999380111694336, 0.89600002765655517578, 0.89800000190734863281, 0.89999997615814208984, 0.90200001001358032227, 0.9039999842643737793, 0.90600001811981201172, 0.90799999237060546875, 0.91000002622604370117, 0.9120000004768371582, 0.91399997472763061523, 0.91600000858306884766, 0.91799998283386230469, 0.92000001668930053711, 0.92199999094009399414, 0.92400002479553222656, 0.92599999904632568359, 0.92799997329711914062, 0.93000000715255737305, 0.93199998140335083008, 0.9340000152587890625, 0.93599998950958251953, 0.93800002336502075195, 0.93999999761581420898, 0.94199997186660766602, 0.94400000572204589844, 0.94599997997283935547, 0.94800001382827758789, 0.94999998807907104492, 0.95200002193450927734, 0.95399999618530273438, 0.95599997043609619141, 0.95800000429153442383, 0.95999997854232788086, 0.96200001239776611328, 0.96399998664855957031, 0.96600002050399780273, 0.96799999475479125977, 0.97000002861022949219, 0.97200000286102294922, 0.97399997711181640625, 0.97600001096725463867, 0.9779999852180480957, 0.98000001907348632812, 0.98199999332427978516, 0.98400002717971801758, 0.98600000143051147461, 0.98799997568130493164, 0.99000000953674316406, 0.99199998378753662109, 0.99400001764297485352, 0.99599999189376831055, 0.99800002574920654297, 1., 1.]
der(hSteSym)=[0., 6.02640008926391601562, 24.1056003570556640625, 54.237598419189453125, 96.42240142822265625, 150.660003662109375, 216.9503936767578125, 295.293609619140625, 385.689605712890625, 488.138397216796875, 602.6400146484375, 729.19439697265625, 867.80157470703125, 1018.46160888671875, 1181.1744384765625, 1355.93994140625, 1542.7584228515625, 1741.629638671875, 1952.5535888671875, 2175.530517578125, 2410.56005859375, 2657.642333984375, 2916.777587890625, 3187.965576171875, 3471.206298828125, 3766.5, 4073.846435546875, 4393.24560546875, 4724.69775390625, 5068.20263671875, 5423.759765625, 5791.37060546875, 6171.03369140625, 6562.74951171875, 6966.5185546875, 7382.33984375, 7810.21435546875, 8250.1416015625, 8702.1220703125, 9166.154296875, 9642.240234375, 10130.3779296875, 10630.5693359375, 11142.8134765625, 11667.1103515625, 12203.4599609375, 12751.8623046875, 13312.3173828125, 13884.8251953125, 14469.38671875, 15066., 15674.666015625, 16295.3857421875, 16928.158203125, 17572.982421875, 18229.859375, 18898.791015625, 19579.7734375, 20272.810546875, 20977.8984375, 21695.0390625, 22424.234375, 23165.482421875, 23918.78125, 24684.134765625, 25461.5390625, 26250.998046875, 27052.509765625, 27866.07421875, 28691.689453125, 29529.359375, 30379.08203125, 31240.857421875, 32114.685546875, 33000.56640625, 33898.5, 34808.48828125, 35730.52734375, 36664.6171875, 37610.76171875, 38568.9609375, 39539.2109375, 40521.51171875, 41515.87109375, 42522.27734375, 43540.73828125, 44571.25390625, 45613.8203125, 46668.44140625, 47735.11328125, 48813.83984375, 49904.6171875, 51007.44921875, 52122.33203125, 53249.26953125, 54388.26171875, 55539.30078125, 56702.3984375, 57877.546875, 59064.74609375, 60264., 61475.3046875, 62698.6640625, 63934.078125, 65181.54296875, 66441.0625, 67712.6328125, 68996.25, 70291.9296875, 71599.65625, 72919.4375, 74251.2734375, 75595.1640625, 76951.1015625, 78319.09375, 79699.140625, 81091.2421875, 82495.390625, 83911.59375, 85339.8515625, 86780.15625, 88232.5234375, 89696.9375, 91173.40625, 92661.9296875, 94162.5, 95675.125, 97199.8046875, 98736.5390625, 100285.3203125, 101846.15625, 103419.046875, 105003.9921875, 106600.9921875, 108210.0390625, 109831.140625, 111464.296875, 113109.5, 114766.7578125, 116436.078125, 118117.4375, 119810.859375, 121516.328125, 123233.8515625, 124963.4296875, 126705.0625, 128458.7421875, 130224.4765625, 132002.265625, 133792.109375, 135594., 137407.953125, 139233.953125, 141072., 142922.109375, 144784.265625, 146658.46875, 148544.734375, 150443.046875, 152353.421875, 154275.84375, 156210.3125, 158156.84375, 160115.421875, 162086.046875, 164068.734375, 166063.484375, 168070.265625, 170089.109375, 172120.015625, 174162.953125, 176217.96875, 178285.015625, 180364.125, 182455.28125, 184558.5, 186673.765625, 188801.078125, 190940.453125, 193091.875, 195255.359375, 197430.890625, 199618.46875, 201818.109375, 204029.796875, 206253.546875, 208489.328125, 210737.1875, 212997.078125, 215269.03125, 217553.046875, 219849.09375, 222157.203125, 224477.375, 226809.59375, 229153.859375, 231510.1875, 233878.5625, 236258.984375, 238651.46875, 241056., 243472.59375, 245901.21875, 248341.921875, 250794.65625, 253259.453125, 255736.3125, 258225.21875, 260726.171875, 263239.1875, 265764.25, 268301.34375, 270850.53125, 273411.75, 275985., 278570.34375, 281167.71875, 283777.15625, 286398.625, 289032.15625, 291677.75, 294335.40625, 297005.09375, 299686.84375, 302380.65625, 305086.5, 307804.40625, 310534.375, 313276.375, 316030.4375, 318796.5625, 321574.71875, 324364.96875, 327167.21875, 329981.5625, 332807.9375, 335646.375, 338496.875, 341359.40625, 344234., 347120.625, 350019.34375, 352930.09375, 355852.90625, 358787.75, 361734.65625, 364693.625, 367664.625, 370647.71875, 373642.8125, 376650., 379669.21875, 382700.5, 385743.84375, 388799.21875, 391866.65625, 394946.15625, 398037.6875, 401141.28125, 404256.9375, 407384.625, 410524.40625, 413676.1875, 416840.0625, 420015.96875, 423203.9375, 426403.96875, 429616.03125, 432840.15625, 436076.34375, 439324.5625, 442584.84375, 445857.1875, 449141.5625, 452438., 455746.5, 459067.03125, 462399.65625, 465744.3125, 469101., 472469.75, 475850.5625, 479243.4375, 482648.34375, 486065.3125, 489494.34375, 492935.40625, 496388.53125, 499853.71875, 503330.96875, 506820.25, 510321.59375, 513834.96875, 517360.40625, 520897.90625, 524447.4375, 528009.0625, 531582.6875, 535168.4375, 538766.1875, 542376., 545997.875, 549631.8125, 553277.75, 556935.8125, 560605.875, 564288., 567982.1875, 571688.4375, 575406.6875, 579137.0625, 582879.4375, 586633.875, 590400.375, 594178.9375, 597969.5625, 601772.1875, 605586.9375, 609413.6875, 613252.5, 617103.375, 620966.3125, 624841.25, 628728.3125, 632627.375, 636538.5, 640461.6875, 644396.9375, 648344.1875, 652303.5625, 656274.9375, 660258.4375, 664253.9375, 668261.5, 672281.0625, 676312.75, 680356.4375, 684412.25, 688480.0625, 692559.9375, 696651.8125, 700755.8125, 704871.875, 708999.9375, 713140.0625, 717292.25, 721456.5, 725632.8125, 729821.125, 734021.5625, 738234., 742458.5, 746695.0625, 750943.6875, 755204.3125, 759477.0625, 763761.8125, 768058.625, 772367.5, 776688.4375, 781021.4375, 785366.5, 789723.5625, 794092.6875, 798473.875, 802867.125, 807272.4375, 811689.8125, 816119.1875, 820560.625, 825014.1875, 829479.75, 833957.3125, 838447., 842948.75, 847462.5, 851988.3125, 856526.1875, 861076.125, 865638.125, 870212.1875, 874798.25, 879396.375, 884006.5625, 888628.8125, 893263.125, 897909.5, 902567.875, 907238.375, 911920.875, 916615.4375, 921322.0625, 926040.75, 930771.4375, 935514.25, 940269.0625, 945035.9375, 949814.875, 954605.875, 959408.9375, 964224., 969051.125, 973890.375, 978741.625, 983604.875, 988480.25, 993367.6875, 998267.125, 1003178.625, 1008102.1875, 1013037.8125, 1017985.5, 1022945.25, 1027917., 1032900.875, 1037896.75, 1042904.6875, 1047924.6875, 1052956.75, 1058000.75, 1063057., 1068125.125, 1073205.375, 1078297.75, 1083402.125, 1088518.5, 1093647., 1098787.5, 1103940., 1109104.625, 1114281.375, 1119470.125, 1124670.875, 1129883.75, 1135108.625, 1140345.5, 1145594.5, 1150855.625, 1156128.625, 1161413.875, 1166711., 1172020.25, 1177341.625, 1182675., 1188020.375, 1193377.875, 1198747.375, 1204129., 1209522.625, 1214928.25, 1220346., 1225775.75, 1231217.625, 1236671.5, 1242137.5, 1247615.5, 1253105.5, 1258607.625, 1264121.75, 1269648., 1275186.25, 1280736.5, 1286298.875, 1291873.375, 1297459.875, 1303058.375, 1308668.875, 1314291.5, 1319926.25, 1325573., 1331231.75, 1336902.625, 1342585.5, 1348280.5, 1353987.5, 1359706.5, 1365437.625, 1371180.75, 1376936., 1382703.25, 1388482.5, 1394273.875, 1400077.375, 1405892.875, 1411720.375, 1417560., 1423411.625, 1429275.25, 1435151., 1441038.75, 1446938.625, 1452850.5, 1458774.5, 1464710.5, 1470658.5, 1476618.625, 1482590.875, 1488575., 1494571.25, 1500579.625, 1506600., 1506600.]