       real :: wvandesitesolid(2844) = (/0.4,0.401,0.402,0.403,0.404,0.405,0.406,0.407, &
      &          0.4080,0.4090,0.4100,0.4110,0.4120,0.4130,0.4140,0.4150, &
      &          0.4160,0.4170,0.4180,0.4190,0.4200,0.4210,0.4220,0.4230, &
      &          0.4240,0.4250,0.4260,0.4270,0.4280,0.4290,0.4300,0.4310, &
      &          0.4320,0.4330,0.4340,0.4350,0.4360,0.4370,0.4380,0.4390, &
      &          0.4400,0.4410,0.4420,0.4430,0.4440,0.4450,0.4460,0.4470, &
      &          0.4480,0.4490,0.4500,0.4510,0.4520,0.4530,0.4540,0.4550, &
      &          0.4560,0.4570,0.4580,0.4590,0.4600,0.4610,0.4620,0.4630, &
      &          0.4640,0.4650,0.4660,0.4670,0.4680,0.4690,0.4700,0.4710, &
      &          0.4720,0.4730,0.4740,0.4750,0.4760,0.4770,0.4780,0.4790, &
      &          0.4800,0.4810,0.4820,0.4830,0.4840,0.4850,0.4860,0.4870, &
      &          0.4880,0.4890,0.4900,0.4910,0.4920,0.4930,0.4940,0.4950, &
      &          0.4960,0.4970,0.4980,0.4990,0.5000,0.5010,0.5020,0.5030, &
      &          0.5040,0.5050,0.5060,0.5070,0.5080,0.5090,0.5100,0.5110, &
      &          0.5120,0.5130,0.5140,0.5150,0.5160,0.5170,0.5180,0.5190, &
      &          0.5200,0.5210,0.5220,0.5230,0.5240,0.5250,0.5260,0.5270, &
      &          0.5280,0.5290,0.5300,0.5310,0.5320,0.5330,0.5340,0.5350, &
      &          0.5360,0.5370,0.5380,0.5390,0.5400,0.5410,0.5420,0.5430, &
      &          0.5440,0.5450,0.5460,0.5470,0.5480,0.5490,0.5500,0.5510, &
      &          0.5520,0.5530,0.5540,0.5550,0.5560,0.5570,0.5580,0.5590, &
      &          0.5600,0.5610,0.5620,0.5630,0.5640,0.5650,0.5660,0.5670, &
      &          0.5680,0.5690,0.5700,0.5710,0.5720,0.5730,0.5740,0.5750, &
      &          0.5760,0.5770,0.5780,0.5790,0.5800,0.5810,0.5820,0.5830, &
      &          0.5840,0.5850,0.5860,0.5870,0.5880,0.5890,0.5900,0.5910, &
      &          0.5920,0.5930,0.5940,0.5950,0.5960,0.5970,0.5980,0.5990, &
      &          0.6000,0.6010,0.6020,0.6030,0.6040,0.6050,0.6060,0.6070, &
      &          0.6080,0.6090,0.6100,0.6110,0.6120,0.6130,0.6140,0.6150, &
      &          0.6160,0.6170,0.6180,0.6190,0.6200,0.6210,0.6220,0.6230, &
      &          0.6240,0.6250,0.6260,0.6270,0.6280,0.6290,0.6300,0.6310, &
      &          0.6320,0.6330,0.6340,0.6350,0.6360,0.6370,0.6380,0.6390, &
      &          0.6400,0.6410,0.6420,0.6430,0.6440,0.6450,0.6460,0.6470, &
      &          0.6480,0.6490,0.6500,0.6510,0.6520,0.6530,0.6540,0.6550, &
      &          0.6560,0.6570,0.6580,0.6590,0.6600,0.6610,0.6620,0.6630, &
      &          0.6640,0.6650,0.6660,0.6670,0.6680,0.6690,0.6700,0.6710, &
      &          0.6720,0.6730,0.6740,0.6750,0.6760,0.6770,0.6780,0.6790, &
      &          0.6800,0.6810,0.6820,0.6830,0.6840,0.6850,0.6860,0.6870, &
      &          0.6880,0.6890,0.6900,0.6910,0.6920,0.6930,0.6940,0.6950, &
      &          0.6960,0.6970,0.6980,0.6990,0.7000,0.7010,0.7020,0.7030, &
      &          0.7040,0.7050,0.7060,0.7070,0.7080,0.7090,0.7100,0.7110, &
      &          0.7120,0.7130,0.7140,0.7150,0.7160,0.7170,0.7180,0.7190, &
      &          0.7200,0.7210,0.7220,0.7230,0.7240,0.7250,0.7260,0.7270, &
      &          0.7280,0.7290,0.7300,0.7310,0.7320,0.7330,0.7340,0.7350, &
      &          0.7360,0.7370,0.7380,0.7390,0.7400,0.7410,0.7420,0.7430, &
      &          0.7440,0.7450,0.7460,0.7470,0.7480,0.7490,0.7500,0.7510, &
      &          0.7520,0.7530,0.7540,0.7550,0.7560,0.7570,0.7580,0.7590, &
      &          0.7600,0.7610,0.7620,0.7630,0.7640,0.7650,0.7660,0.7670, &
      &          0.7680,0.7690,0.7700,0.7710,0.7720,0.7730,0.7740,0.7750, &
      &          0.7760,0.7770,0.7780,0.7790,0.7800,0.7810,0.7820,0.7830, &
      &          0.7840,0.7850,0.7860,0.7870,0.7880,0.7890,0.7900,0.7910, &
      &          0.7920,0.7930,0.7940,0.7950,0.7960,0.7970,0.7980,0.7990, &
      &          0.8000,0.8040,0.8080,0.8120,0.8160,0.8200,0.8240,0.8280, &
      &          0.8320,0.8360,0.8400,0.8440,0.8480,0.8520,0.8560,0.8600, &
      &          0.8640,0.8680,0.8720,0.8760,0.8800,0.8840,0.8880,0.8920, &
      &          0.8960,0.9000,0.9040,0.9080,0.9120,0.9160,0.9200,0.9240, &
      &          0.9280,0.9320,0.9360,0.9400,0.9440,0.9480,0.9520,0.9560, &
      &          0.9600,0.9640,0.9680,0.9720,0.9760,0.9800,0.9840,0.9880, &
      &          0.9920,0.9960,1.0000,1.0040,1.0080,1.0120,1.0160,1.0200, &
      &          1.0240,1.0280,1.0320,1.0360,1.0400,1.0440,1.0480,1.0520, &
      &          1.0560,1.0600,1.0640,1.0680,1.0720,1.0760,1.0800,1.0840, &
      &          1.0880,1.0920,1.0960,1.1000,1.1040,1.1080,1.1120,1.1160, &
      &          1.1200,1.1240,1.1280,1.1320,1.1360,1.1400,1.1440,1.1480, &
      &          1.1520,1.1560,1.1600,1.1640,1.1680,1.1720,1.1760,1.1800, &
      &          1.1840,1.1880,1.1920,1.1960,1.2000,1.2040,1.2080,1.2120, &
      &          1.2160,1.2200,1.2240,1.2280,1.2320,1.2360,1.2400,1.2440, &
      &          1.2480,1.2520,1.2560,1.2600,1.2640,1.2680,1.2720,1.2760, &
      &          1.2800,1.2840,1.2880,1.2920,1.2960,1.3000,1.3040,1.3080, &
      &          1.3120,1.3160,1.3200,1.3240,1.3280,1.3320,1.3360,1.3400, &
      &          1.3440,1.3480,1.3520,1.3560,1.3600,1.3640,1.3680,1.3720, &
      &          1.3760,1.3800,1.3840,1.3880,1.3920,1.3960,1.4000,1.4040, &
      &          1.4080,1.4120,1.4160,1.4200,1.4240,1.4280,1.4320,1.4360, &
      &          1.4400,1.4440,1.4480,1.4520,1.4560,1.4600,1.4640,1.4680, &
      &          1.4720,1.4760,1.4800,1.4840,1.4880,1.4920,1.4960,1.5000, &
      &          1.5040,1.5080,1.5120,1.5160,1.5200,1.5240,1.5280,1.5320, &
      &          1.5360,1.5400,1.5440,1.5480,1.5520,1.5560,1.5600,1.5640, &
      &          1.5680,1.5720,1.5760,1.5800,1.5840,1.5880,1.5920,1.5960, &
      &          1.6000,1.6040,1.6080,1.6120,1.6160,1.6200,1.6240,1.6280, &
      &          1.6320,1.6360,1.6400,1.6440,1.6480,1.6520,1.6560,1.6600, &
      &          1.6640,1.6680,1.6720,1.6760,1.6800,1.6840,1.6880,1.6920, &
      &          1.6960,1.7000,1.7040,1.7080,1.7120,1.7160,1.7200,1.7240, &
      &          1.7280,1.7320,1.7360,1.7400,1.7440,1.7480,1.7520,1.7560, &
      &          1.7600,1.7640,1.7680,1.7720,1.7760,1.7800,1.7840,1.7880, &
      &          1.7920,1.7960,1.8000,1.8040,1.8080,1.8120,1.8160,1.8200, &
      &          1.8240,1.8280,1.8320,1.8360,1.8400,1.8440,1.8480,1.8520, &
      &          1.8560,1.8600,1.8640,1.8680,1.8720,1.8760,1.8800,1.8840, &
      &          1.8880,1.8920,1.8960,1.9000,1.9040,1.9080,1.9120,1.9160, &
      &          1.9200,1.9240,1.9280,1.9320,1.9360,1.9400,1.9440,1.9480, &
      &          1.9520,1.9560,1.9600,1.9640,1.9680,1.9720,1.9760,1.9800, &
      &          1.9840,1.9880,1.9920,1.9960,2.0000,2.0040,2.0080,2.0120, &
      &          2.0160,2.0200,2.0240,2.0280,2.0320,2.0360,2.0400,2.0440, &
      &          2.0480,2.0520,2.0560,2.0600,2.0640,2.0680,2.0720,2.0760, &
      &          2.0795,2.0803,2.0812,2.0820,2.0828,2.0837,2.0845,2.0853, &
      &          2.0862,2.0870,2.0879,2.0887,2.0895,2.0904,2.0912,2.0921, &
      &          2.0929,2.0938,2.0946,2.0955,2.0963,2.0971,2.0980,2.0988, &
      &          2.0997,2.1005,2.1014,2.1023,2.1031,2.1040,2.1048,2.1057, &
      &          2.1065,2.1074,2.1082,2.1091,2.1100,2.1108,2.1117,2.1125, &
      &          2.1134,2.1143,2.1151,2.1160,2.1168,2.1177,2.1186,2.1194, &
      &          2.1203,2.1212,2.1220,2.1229,2.1238,2.1247,2.1255,2.1264, &
      &          2.1273,2.1281,2.1290,2.1299,2.1308,2.1316,2.1325,2.1334, &
      &          2.1343,2.1352,2.1360,2.1369,2.1378,2.1387,2.1396,2.1404, &
      &          2.1413,2.1422,2.1431,2.1440,2.1449,2.1458,2.1466,2.1475, &
      &          2.1484,2.1493,2.1502,2.1511,2.1520,2.1529,2.1538,2.1547, &
      &          2.1556,2.1565,2.1574,2.1583,2.1592,2.1601,2.1610,2.1619, &
      &          2.1628,2.1637,2.1646,2.1655,2.1664,2.1673,2.1682,2.1691, &
      &          2.1700,2.1709,2.1718,2.1727,2.1736,2.1746,2.1755,2.1764, &
      &          2.1773,2.1782,2.1791,2.1800,2.1810,2.1819,2.1828,2.1837, &
      &          2.1846,2.1856,2.1865,2.1874,2.1883,2.1893,2.1902,2.1911, &
      &          2.1920,2.1930,2.1939,2.1948,2.1957,2.1967,2.1976,2.1985, &
      &          2.1995,2.2004,2.2013,2.2023,2.2032,2.2041,2.2051,2.2060, &
      &          2.2070,2.2079,2.2088,2.2098,2.2107,2.2117,2.2126,2.2136, &
      &          2.2145,2.2155,2.2164,2.2173,2.2183,2.2192,2.2202,2.2211, &
      &          2.2221,2.2231,2.2240,2.2250,2.2259,2.2269,2.2278,2.2288, &
      &          2.2297,2.2307,2.2317,2.2326,2.2336,2.2345,2.2355,2.2365, &
      &          2.2374,2.2384,2.2394,2.2403,2.2413,2.2423,2.2433,2.2442, &
      &          2.2452,2.2462,2.2471,2.2481,2.2491,2.2501,2.2510,2.2520, &
      &          2.2530,2.2540,2.2550,2.2559,2.2569,2.2579,2.2589,2.2599, &
      &          2.2609,2.2618,2.2628,2.2638,2.2648,2.2658,2.2668,2.2678, &
      &          2.2688,2.2698,2.2708,2.2718,2.2728,2.2738,2.2747,2.2757, &
      &          2.2767,2.2777,2.2787,2.2798,2.2808,2.2818,2.2828,2.2838, &
      &          2.2848,2.2858,2.2868,2.2878,2.2888,2.2898,2.2908,2.2918, &
      &          2.2929,2.2939,2.2949,2.2959,2.2969,2.2979,2.2990,2.3000, &
      &          2.3010,2.3020,2.3030,2.3041,2.3051,2.3061,2.3071,2.3082, &
      &          2.3092,2.3102,2.3113,2.3123,2.3133,2.3144,2.3154,2.3164, &
      &          2.3175,2.3185,2.3195,2.3206,2.3216,2.3226,2.3237,2.3247, &
      &          2.3258,2.3268,2.3279,2.3289,2.3300,2.3310,2.3321,2.3331, &
      &          2.3342,2.3352,2.3363,2.3373,2.3384,2.3394,2.3405,2.3415, &
      &          2.3426,2.3436,2.3447,2.3458,2.3468,2.3479,2.3490,2.3500, &
      &          2.3511,2.3522,2.3532,2.3543,2.3554,2.3564,2.3575,2.3586, &
      &          2.3597,2.3607,2.3618,2.3629,2.3640,2.3650,2.3661,2.3672, &
      &          2.3683,2.3694,2.3704,2.3715,2.3726,2.3737,2.3748,2.3759, &
      &          2.3770,2.3781,2.3791,2.3802,2.3813,2.3824,2.3835,2.3846, &
      &          2.3857,2.3868,2.3879,2.3890,2.3901,2.3912,2.3923,2.3934, &
      &          2.3945,2.3956,2.3967,2.3979,2.3990,2.4001,2.4012,2.4023, &
      &          2.4034,2.4045,2.4056,2.4068,2.4079,2.4090,2.4101,2.4112, &
      &          2.4124,2.4135,2.4146,2.4157,2.4169,2.4180,2.4191,2.4202, &
      &          2.4214,2.4225,2.4236,2.4248,2.4259,2.4270,2.4282,2.4293, &
      &          2.4305,2.4316,2.4327,2.4339,2.4350,2.4362,2.4373,2.4385, &
      &          2.4396,2.4408,2.4419,2.4431,2.4442,2.4454,2.4465,2.4477, &
      &          2.4488,2.4500,2.4511,2.4523,2.4535,2.4546,2.4558,2.4569, &
      &          2.4581,2.4593,2.4604,2.4616,2.4628,2.4640,2.4651,2.4663, &
      &          2.4675,2.4686,2.4698,2.4710,2.4722,2.4734,2.4745,2.4757, &
      &          2.4769,2.4781,2.4793,2.4805,2.4816,2.4828,2.4840,2.4852, &
      &          2.4864,2.4876,2.4888,2.4900,2.4912,2.4924,2.4936,2.4948, &
      &          2.4960,2.4972,2.4984,2.4996,2.5008,2.5020,2.5032,2.5044, &
      &          2.5056,2.5068,2.5081,2.5093,2.5105,2.5117,2.5129,2.5141, &
      &          2.5154,2.5166,2.5178,2.5190,2.5202,2.5215,2.5227,2.5239, &
      &          2.5252,2.5264,2.5276,2.5289,2.5301,2.5313,2.5326,2.5338, &
      &          2.5350,2.5363,2.5375,2.5388,2.5400,2.5413,2.5425,2.5437, &
      &          2.5450,2.5462,2.5475,2.5487,2.5500,2.5513,2.5525,2.5538, &
      &          2.5550,2.5563,2.5575,2.5588,2.5601,2.5613,2.5626,2.5639, &
      &          2.5651,2.5664,2.5677,2.5690,2.5702,2.5715,2.5728,2.5741, &
      &          2.5753,2.5766,2.5779,2.5792,2.5805,2.5817,2.5830,2.5843, &
      &          2.5856,2.5869,2.5882,2.5895,2.5908,2.5921,2.5934,2.5947, &
      &          2.5960,2.5973,2.5986,2.5999,2.6012,2.6025,2.6038,2.6051, &
      &          2.6064,2.6077,2.6090,2.6103,2.6117,2.6130,2.6143,2.6156, &
      &          2.6169,2.6183,2.6196,2.6209,2.6222,2.6236,2.6249,2.6262, &
      &          2.6275,2.6289,2.6302,2.6315,2.6329,2.6342,2.6356,2.6369, &
      &          2.6382,2.6396,2.6409,2.6423,2.6436,2.6450,2.6463,2.6477, &
      &          2.6490,2.6504,2.6517,2.6531,2.6545,2.6558,2.6572,2.6585, &
      &          2.6599,2.6613,2.6626,2.6640,2.6654,2.6667,2.6681,2.6695, &
      &          2.6709,2.6722,2.6736,2.6750,2.6764,2.6778,2.6791,2.6805, &
      &          2.6819,2.6833,2.6847,2.6861,2.6875,2.6889,2.6903,2.6917, &
      &          2.6931,2.6945,2.6959,2.6973,2.6987,2.7001,2.7015,2.7029, &
      &          2.7043,2.7057,2.7071,2.7085,2.7100,2.7114,2.7128,2.7142, &
      &          2.7156,2.7171,2.7185,2.7199,2.7213,2.7228,2.7242,2.7256, &
      &          2.7271,2.7285,2.7299,2.7314,2.7328,2.7343,2.7357,2.7371, &
      &          2.7386,2.7400,2.7415,2.7429,2.7444,2.7458,2.7473,2.7488, &
      &          2.7502,2.7517,2.7531,2.7546,2.7561,2.7575,2.7590,2.7605, &
      &          2.7619,2.7634,2.7649,2.7664,2.7678,2.7693,2.7708,2.7723, &
      &          2.7738,2.7752,2.7767,2.7782,2.7797,2.7812,2.7827,2.7842, &
      &          2.7857,2.7872,2.7887,2.7902,2.7917,2.7932,2.7947,2.7962, &
      &          2.7977,2.7992,2.8007,2.8022,2.8038,2.8053,2.8068,2.8083, &
      &          2.8098,2.8114,2.8129,2.8144,2.8159,2.8175,2.8190,2.8205, &
      &          2.8221,2.8236,2.8252,2.8267,2.8282,2.8298,2.8313,2.8329, &
      &          2.8344,2.8360,2.8375,2.8391,2.8406,2.8422,2.8437,2.8453, &
      &          2.8469,2.8484,2.8500,2.8516,2.8531,2.8547,2.8563,2.8579, &
      &          2.8594,2.8610,2.8626,2.8642,2.8658,2.8673,2.8689,2.8705, &
      &          2.8721,2.8737,2.8753,2.8769,2.8785,2.8801,2.8817,2.8833, &
      &          2.8849,2.8865,2.8881,2.8897,2.8913,2.8929,2.8946,2.8962, &
      &          2.8978,2.8994,2.9010,2.9027,2.9043,2.9059,2.9075,2.9092, &
      &          2.9108,2.9124,2.9141,2.9157,2.9174,2.9190,2.9207,2.9223, &
      &          2.9239,2.9256,2.9272,2.9289,2.9306,2.9322,2.9339,2.9355, &
      &          2.9372,2.9389,2.9405,2.9422,2.9439,2.9455,2.9472,2.9489, &
      &          2.9506,2.9523,2.9539,2.9556,2.9573,2.9590,2.9607,2.9624, &
      &          2.9641,2.9658,2.9675,2.9692,2.9709,2.9726,2.9743,2.9760, &
      &          2.9777,2.9794,2.9811,2.9828,2.9845,2.9863,2.9880,2.9897, &
      &          2.9914,2.9932,2.9949,2.9966,2.9984,3.0001,3.0018,3.0036, &
      &          3.0053,3.0070,3.0088,3.0105,3.0123,3.0140,3.0158,3.0176, &
      &          3.0193,3.0211,3.0228,3.0246,3.0264,3.0281,3.0299,3.0317, &
      &          3.0334,3.0352,3.0370,3.0388,3.0406,3.0423,3.0441,3.0459, &
      &          3.0477,3.0495,3.0513,3.0531,3.0549,3.0567,3.0585,3.0603, &
      &          3.0621,3.0639,3.0657,3.0675,3.0694,3.0712,3.0730,3.0748, &
      &          3.0766,3.0785,3.0803,3.0821,3.0840,3.0858,3.0876,3.0895, &
      &          3.0913,3.0932,3.0950,3.0969,3.0987,3.1006,3.1024,3.1043, &
      &          3.1061,3.1080,3.1099,3.1117,3.1136,3.1155,3.1174,3.1192, &
      &          3.1211,3.1230,3.1249,3.1268,3.1286,3.1305,3.1324,3.1343, &
      &          3.1362,3.1381,3.1400,3.1419,3.1438,3.1457,3.1476,3.1495, &
      &          3.1515,3.1534,3.1553,3.1572,3.1591,3.1611,3.1630,3.1649, &
      &          3.1669,3.1688,3.1707,3.1727,3.1746,3.1766,3.1785,3.1805, &
      &          3.1824,3.1844,3.1863,3.1883,3.1902,3.1922,3.1942,3.1961, &
      &          3.1981,3.2001,3.2021,3.2040,3.2060,3.2080,3.2100,3.2120, &
      &          3.2140,3.2160,3.2180,3.2200,3.2220,3.2240,3.2260,3.2280, &
      &          3.2300,3.2320,3.2340,3.2361,3.2381,3.2401,3.2421,3.2442, &
      &          3.2462,3.2482,3.2503,3.2523,3.2543,3.2564,3.2584,3.2605, &
      &          3.2625,3.2646,3.2666,3.2687,3.2708,3.2728,3.2749,3.2770, &
      &          3.2790,3.2811,3.2832,3.2853,3.2874,3.2894,3.2915,3.2936, &
      &          3.2957,3.2978,3.2999,3.3020,3.3041,3.3062,3.3083,3.3104, &
      &          3.3126,3.3147,3.3168,3.3189,3.3210,3.3232,3.3253,3.3274, &
      &          3.3296,3.3317,3.3339,3.3360,3.3382,3.3403,3.3425,3.3446, &
      &          3.3468,3.3489,3.3511,3.3533,3.3554,3.3576,3.3598,3.3620, &
      &          3.3641,3.3663,3.3685,3.3707,3.3729,3.3751,3.3773,3.3795, &
      &          3.3817,3.3839,3.3861,3.3883,3.3906,3.3928,3.3950,3.3972, &
      &          3.3994,3.4017,3.4039,3.4061,3.4084,3.4106,3.4129,3.4151, &
      &          3.4174,3.4196,3.4219,3.4241,3.4264,3.4287,3.4309,3.4332, &
      &          3.4355,3.4378,3.4400,3.4423,3.4446,3.4469,3.4492,3.4515, &
      &          3.4538,3.4561,3.4584,3.4607,3.4630,3.4653,3.4677,3.4700, &
      &          3.4723,3.4746,3.4770,3.4793,3.4816,3.4840,3.4863,3.4887, &
      &          3.4910,3.4934,3.4957,3.4981,3.5004,3.5028,3.5052,3.5075, &
      &          3.5099,3.5123,3.5147,3.5171,3.5195,3.5218,3.5242,3.5266, &
      &          3.5290,3.5314,3.5338,3.5363,3.5387,3.5411,3.5435,3.5459, &
      &          3.5484,3.5508,3.5532,3.5557,3.5581,3.5605,3.5630,3.5654, &
      &          3.5679,3.5704,3.5728,3.5753,3.5777,3.5802,3.5827,3.5852, &
      &          3.5876,3.5901,3.5926,3.5951,3.5976,3.6001,3.6026,3.6051, &
      &          3.6076,3.6101,3.6127,3.6152,3.6177,3.6202,3.6227,3.6253, &
      &          3.6278,3.6304,3.6329,3.6355,3.6380,3.6406,3.6431,3.6457, &
      &          3.6482,3.6508,3.6534,3.6560,3.6585,3.6611,3.6637,3.6663, &
      &          3.6689,3.6715,3.6741,3.6767,3.6793,3.6819,3.6845,3.6872, &
      &          3.6898,3.6924,3.6950,3.6977,3.7003,3.7030,3.7056,3.7083, &
      &          3.7109,3.7136,3.7162,3.7189,3.7216,3.7242,3.7269,3.7296, &
      &          3.7323,3.7350,3.7377,3.7404,3.7431,3.7458,3.7485,3.7512, &
      &          3.7539,3.7566,3.7594,3.7621,3.7648,3.7676,3.7703,3.7730, &
      &          3.7758,3.7785,3.7813,3.7841,3.7868,3.7896,3.7924,3.7951, &
      &          3.7979,3.8007,3.8035,3.8063,3.8091,3.8119,3.8147,3.8175, &
      &          3.8203,3.8231,3.8259,3.8288,3.8316,3.8344,3.8373,3.8401, &
      &          3.8430,3.8458,3.8487,3.8515,3.8544,3.8573,3.8601,3.8630, &
      &          3.8659,3.8688,3.8717,3.8746,3.8775,3.8804,3.8833,3.8862, &
      &          3.8891,3.8920,3.8949,3.8979,3.9008,3.9037,3.9067,3.9096, &
      &          3.9126,3.9155,3.9185,3.9214,3.9244,3.9274,3.9304,3.9333, &
      &          3.9363,3.9393,3.9423,3.9453,3.9483,3.9513,3.9544,3.9574, &
      &          3.9604,3.9634,3.9665,3.9695,3.9725,3.9756,3.9786,3.9817, &
      &          3.9847,3.9878,3.9909,3.9940,3.9970,4.0001,4.0032,4.0063, &
      &          4.0094,4.0125,4.0156,4.0187,4.0218,4.0250,4.0281,4.0312, &
      &          4.0344,4.0375,4.0406,4.0438,4.0470,4.0501,4.0533,4.0565, &
      &          4.0596,4.0628,4.0660,4.0692,4.0724,4.0756,4.0788,4.0820, &
      &          4.0852,4.0884,4.0917,4.0949,4.0981,4.1014,4.1046,4.1079, &
      &          4.1111,4.1144,4.1177,4.1209,4.1242,4.1275,4.1308,4.1341, &
      &          4.1374,4.1407,4.1440,4.1473,4.1506,4.1540,4.1573,4.1606, &
      &          4.1640,4.1673,4.1707,4.1740,4.1774,4.1808,4.1841,4.1875, &
      &          4.1909,4.1943,4.1977,4.2011,4.2045,4.2079,4.2113,4.2148, &
      &          4.2182,4.2216,4.2251,4.2285,4.2320,4.2354,4.2389,4.2424, &
      &          4.2458,4.2493,4.2528,4.2563,4.2598,4.2633,4.2668,4.2703, &
      &          4.2738,4.2774,4.2809,4.2844,4.2880,4.2915,4.2951,4.2986, &
      &          4.3022,4.3058,4.3094,4.3129,4.3165,4.3201,4.3237,4.3273, &
      &          4.3310,4.3346,4.3382,4.3418,4.3455,4.3491,4.3528,4.3564, &
      &          4.3601,4.3638,4.3674,4.3711,4.3748,4.3785,4.3822,4.3859, &
      &          4.3896,4.3934,4.3971,4.4008,4.4045,4.4083,4.4120,4.4158, &
      &          4.4196,4.4233,4.4271,4.4309,4.4347,4.4385,4.4423,4.4461, &
      &          4.4499,4.4537,4.4576,4.4614,4.4652,4.4691,4.4730,4.4768, &
      &          4.4807,4.4846,4.4884,4.4923,4.4962,4.5001,4.5040,4.5080, &
      &          4.5119,4.5158,4.5197,4.5237,4.5276,4.5316,4.5356,4.5395, &
      &          4.5435,4.5475,4.5515,4.5555,4.5595,4.5635,4.5675,4.5716, &
      &          4.5756,4.5796,4.5837,4.5877,4.5918,4.5959,4.6000,4.6040, &
      &          4.6081,4.6122,4.6163,4.6205,4.6246,4.6287,4.6328,4.6370, &
      &          4.6411,4.6453,4.6495,4.6536,4.6578,4.6620,4.6662,4.6704, &
      &          4.6746,4.6788,4.6831,4.6873,4.6915,4.6958,4.7000,4.7043, &
      &          4.7086,4.7129,4.7172,4.7215,4.7258,4.7301,4.7344,4.7387, &
      &          4.7431,4.7474,4.7517,4.7561,4.7605,4.7648,4.7692,4.7736, &
      &          4.7780,4.7824,4.7868,4.7913,4.7957,4.8001,4.8046,4.8090, &
      &          4.8135,4.8180,4.8225,4.8270,4.8315,4.8360,4.8405,4.8450, &
      &          4.8495,4.8541,4.8586,4.8632,4.8678,4.8723,4.8769,4.8815, &
      &          4.8861,4.8907,4.8953,4.9000,4.9046,4.9092,4.9139,4.9186, &
      &          4.9232,4.9279,4.9326,4.9373,4.9420,4.9467,4.9514,4.9562, &
      &          4.9609,4.9657,4.9704,4.9752,4.9800,4.9848,4.9896,4.9944, &
      &          4.9992,5.0040,5.0088,5.0137,5.0185,5.0234,5.0283,5.0332, &
      &          5.0380,5.0430,5.0479,5.0528,5.0577,5.0627,5.0676,5.0726, &
      &          5.0775,5.0825,5.0875,5.0925,5.0975,5.1025,5.1075,5.1126, &
      &          5.1176,5.1227,5.1277,5.1328,5.1379,5.1430,5.1481,5.1532, &
      &          5.1584,5.1635,5.1686,5.1738,5.1790,5.1842,5.1893,5.1945, &
      &          5.1998,5.2050,5.2102,5.2154,5.2207,5.2260,5.2312,5.2365, &
      &          5.2418,5.2471,5.2524,5.2578,5.2631,5.2684,5.2738,5.2792, &
      &          5.2846,5.2900,5.2954,5.3008,5.3062,5.3116,5.3171,5.3225, &
      &          5.3280,5.3335,5.3390,5.3445,5.3500,5.3555,5.3611,5.3666, &
      &          5.3722,5.3778,5.3833,5.3889,5.3945,5.4002,5.4058,5.4114, &
      &          5.4171,5.4228,5.4284,5.4341,5.4398,5.4455,5.4513,5.4570, &
      &          5.4628,5.4685,5.4743,5.4801,5.4859,5.4917,5.4975,5.5033, &
      &          5.5092,5.5151,5.5209,5.5268,5.5327,5.5386,5.5445,5.5505, &
      &          5.5564,5.5624,5.5684,5.5744,5.5804,5.5864,5.5924,5.5984, &
      &          5.6045,5.6106,5.6166,5.6227,5.6288,5.6349,5.6411,5.6472, &
      &          5.6534,5.6596,5.6657,5.6719,5.6782,5.6844,5.6906,5.6969, &
      &          5.7031,5.7094,5.7157,5.7220,5.7283,5.7347,5.7410,5.7474, &
      &          5.7538,5.7602,5.7666,5.7730,5.7794,5.7859,5.7923,5.7988, &
      &          5.8053,5.8118,5.8184,5.8249,5.8314,5.8380,5.8446,5.8512, &
      &          5.8578,5.8644,5.8711,5.8777,5.8844,5.8911,5.8978,5.9045, &
      &          5.9112,5.9180,5.9247,5.9315,5.9383,5.9451,5.9520,5.9588, &
      &          5.9657,5.9725,5.9794,5.9863,5.9932,6.0002,6.0071,6.0141, &
      &          6.0211,6.0281,6.0351,6.0421,6.0492,6.0563,6.0633,6.0704, &
      &          6.0776,6.0847,6.0918,6.0990,6.1062,6.1134,6.1206,6.1278, &
      &          6.1351,6.1424,6.1496,6.1570,6.1643,6.1716,6.1790,6.1863, &
      &          6.1937,6.2011,6.2086,6.2160,6.2235,6.2310,6.2385,6.2460, &
      &          6.2535,6.2611,6.2686,6.2762,6.2838,6.2914,6.2991,6.3068, &
      &          6.3144,6.3221,6.3299,6.3376,6.3454,6.3531,6.3609,6.3687, &
      &          6.3766,6.3844,6.3923,6.4002,6.4081,6.4160,6.4240,6.4320, &
      &          6.4399,6.4480,6.4560,6.4640,6.4721,6.4802,6.4883,6.4964, &
      &          6.5046,6.5128,6.5209,6.5292,6.5374,6.5456,6.5539,6.5622, &
      &          6.5705,6.5789,6.5872,6.5956,6.6040,6.6124,6.6209,6.6294, &
      &          6.6378,6.6464,6.6549,6.6634,6.6720,6.6806,6.6892,6.6979, &
      &          6.7065,6.7152,6.7239,6.7327,6.7414,6.7502,6.7590,6.7678, &
      &          6.7767,6.7855,6.7944,6.8034,6.8123,6.8213,6.8302,6.8393, &
      &          6.8483,6.8573,6.8664,6.8755,6.8847,6.8938,6.9030,6.9122, &
      &          6.9214,6.9307,6.9400,6.9493,6.9586,6.9679,6.9773,6.9867, &
      &          6.9962,7.0056,7.0151,7.0246,7.0341,7.0437,7.0533,7.0629, &
      &          7.0725,7.0822,7.0919,7.1016,7.1113,7.1211,7.1309,7.1407, &
      &          7.1506,7.1604,7.1703,7.1803,7.1902,7.2002,7.2102,7.2203, &
      &          7.2303,7.2404,7.2506,7.2607,7.2709,7.2811,7.2914,7.3016, &
      &          7.3119,7.3223,7.3326,7.3430,7.3534,7.3639,7.3743,7.3848, &
      &          7.3954,7.4059,7.4165,7.4272,7.4378,7.4485,7.4592,7.4700, &
      &          7.4807,7.4916,7.5024,7.5133,7.5242,7.5351,7.5461,7.5571, &
      &          7.5681,7.5792,7.5903,7.6014,7.6126,7.6238,7.6350,7.6462, &
      &          7.6575,7.6689,7.6802,7.6916,7.7031,7.7145,7.7260,7.7375, &
      &          7.7491,7.7607,7.7723,7.7840,7.7957,7.8075,7.8192,7.8310, &
      &          7.8429,7.8548,7.8667,7.8786,7.8906,7.9027,7.9147,7.9268, &
      &          7.9390,7.9512,7.9634,7.9756,7.9879,8.0002,8.0126,8.0250, &
      &          8.0374,8.0499,8.0624,8.0750,8.0876,8.1002,8.1129,8.1256, &
      &          8.1384,8.1512,8.1640,8.1769,8.1898,8.2028,8.2158,8.2288, &
      &          8.2419,8.2550,8.2682,8.2814,8.2946,8.3079,8.3213,8.3347, &
      &          8.3481,8.3615,8.3750,8.3886,8.4022,8.4158,8.4295,8.4432, &
      &          8.4570,8.4708,8.4847,8.4986,8.5126,8.5266,8.5406,8.5547, &
      &          8.5688,8.5830,8.5973,8.6116,8.6259,8.6403,8.6547,8.6692, &
      &          8.6837,8.6982,8.7129,8.7275,8.7422,8.7570,8.7718,8.7867, &
      &          8.8016,8.8166,8.8316,8.8467,8.8618,8.8770,8.8922,8.9075, &
      &          8.9228,8.9382,8.9536,8.9691,8.9847,9.0003,9.0159,9.0316, &
      &          9.0474,9.0632,9.0791,9.0950,9.1110,9.1270,9.1431,9.1593, &
      &          9.1755,9.1918,9.2081,9.2245,9.2409,9.2574,9.2740,9.2906, &
      &          9.3073,9.3240,9.3408,9.3577,9.3746,9.3916,9.4086,9.4257, &
      &          9.4429,9.4601,9.4774,9.4948,9.5122,9.5297,9.5472,9.5649, &
      &          9.5825,9.6003,9.6181,9.6360,9.6539,9.6719,9.6900,9.7082, &
      &          9.7264,9.7447,9.7630,9.7814,9.7999,9.8185,9.8371,9.8558, &
      &          9.8746,9.8934,9.9123,9.9313,9.9504,9.9695,9.9887,10.0080, &
      &          10.0274,10.0468,10.0663,10.0859,10.1056,10.1253,10.1451,10.1650, &
      &          10.1850,10.2050,10.2251,10.2454,10.2656,10.2860,10.3065,10.3270, &
      &          10.3476,10.3683,10.3891,10.4099,10.4309,10.4519,10.4730,10.4942, &
      &          10.5155,10.5369,10.5584,10.5799,10.6015,10.6233,10.6451,10.6670, &
      &          10.6890,10.7111,10.7332,10.7555,10.7779,10.8003,10.8229,10.8455, &
      &          10.8682,10.8911,10.9140,10.9370,10.9602,10.9834,11.0067,11.0301, &
      &          11.0536,11.0773,11.1010,11.1248,11.1487,11.1727,11.1969,11.2211, &
      &          11.2455,11.2699,11.2944,11.3191,11.3439,11.3688,11.3937,11.4188, &
      &          11.4440,11.4694,11.4948,11.5203,11.5460,11.5718,11.5977,11.6237, &
      &          11.6498,11.6760,11.7024,11.7289,11.7555,11.7822,11.8090,11.8360, &
      &          11.8631,11.8903,11.9176,11.9450,11.9726,12.0003,12.0282,12.0562, &
      &          12.0843,12.1125,12.1409,12.1694,12.1980,12.2268,12.2557,12.2847, &
      &          12.3139,12.3432,12.3727,12.4023,12.4320,12.4619,12.4919,12.5221, &
      &          12.5524,12.5829,12.6135,12.6443,12.6752,12.7063,12.7375,12.7688, &
      &          12.8004,12.8321,12.8639,12.8959,12.9281,12.9604,12.9929,13.0255, &
      &          13.0583,13.0913,13.1244,13.1577,13.1912,13.2249,13.2587,13.2927, &
      &          13.3269,13.3612,13.3957,13.4304,13.4653,13.5004,13.5356,13.5711, &
      &          13.6067,13.6425,13.6785,13.7147,13.7511,13.7876,13.8244,13.8614, &
      &          13.8985,13.9359,13.9734,14.0112 /)


       real :: andesitesolid(2844) = (/8.5157,8.665,8.3332,8.4721,8.4604,8.5441,8.8068,8.7612, &
      &          8.4512,8.5736,8.8603,8.6942,8.5915,8.4711,8.7234,8.8427, &
      &          9.0236,8.8665,8.8009,8.8570,9.0040,8.9794,9.0597,9.3552, &
      &          9.0317,8.9485,9.1597,9.2870,9.3136,9.0686,9.1913,9.2697, &
      &          9.3534,9.1994,9.2871,9.3831,9.3412,9.3604,9.6036,9.2749, &
      &          9.4962,9.8077,9.8227,9.7553,9.6829,9.4629,9.5001,9.6497, &
      &          9.6301,10.0207,10.0146,9.8297,9.7264,9.6798,9.7519,9.7384, &
      &          9.7072,9.8586,10.1082,9.9695,9.6464,9.5720,9.5983,9.8232, &
      &          9.8958,9.6560,9.6313,9.5108,9.7527,9.6278,9.8673,9.8223, &
      &          9.9272,9.9734,9.9208,10.1772,9.9563,10.0517,9.9309,9.8731, &
      &          9.6789,9.6880,9.7546,9.9054,9.9784,9.8572,10.0119,10.1465, &
      &          9.8478,9.7334,9.9626,9.9396,9.9006,9.8943,10.1186,10.1850, &
      &          10.2429,10.0652,9.9528,9.9921,9.7475,9.9267,10.0064,10.1468, &
      &          10.4122,10.2548,9.9009,10.0802,10.0491,10.2354,10.1259,10.2886, &
      &          10.0834,10.1892,10.5324,10.3401,10.5120,10.4828,10.6649,10.5684, &
      &          10.2515,10.5617,10.5544,10.6898,10.3889,10.2169,10.2589,10.2973, &
      &          10.6858,10.5826,10.3075,10.4489,10.5758,10.5178,10.6266,10.7143, &
      &          10.3860,10.5416,10.3422,10.2933,10.4302,10.5751,10.3647,10.5027, &
      &          10.5494,10.6186,10.4484,10.4584,10.4250,10.4287,10.4666,10.4678, &
      &          10.5787,10.6394,10.8525,10.6622,10.9329,10.9169,10.8263,11.1890, &
      &          11.2567,11.2226,11.1845,11.1822,10.9551,11.0283,11.2406,11.0380, &
      &          11.1425,11.1514,11.1961,11.1098,11.0837,11.1716,11.0646,10.9862, &
      &          10.8498,10.9799,10.9179,10.9543,10.9517,10.9559,11.1093,10.9166, &
      &          11.0243,10.9443,10.9317,10.9686,11.2339,11.1145,10.8852,10.9157, &
      &          11.0760,10.9307,11.0688,10.9668,11.1992,11.0788,11.0182,10.9500, &
      &          11.1596,10.9150,11.0886,11.0393,11.1748,11.1748,11.3168,11.3886, &
      &          11.0485,11.2652,11.1258,11.1464,11.0877,11.1043,11.0535,11.0241, &
      &          10.9651,10.9820,11.1420,11.1442,11.1019,11.1910,11.0563,11.0326, &
      &          11.0595,11.1442,11.1536,11.2274,11.1939,11.0519,11.1473,10.9201, &
      &          11.1077,11.1163,11.1233,11.1233,11.3789,11.1895,11.2964,11.2406, &
      &          11.3679,11.1379,11.2206,11.0435,10.9734,10.9958,11.1764,11.2520, &
      &          11.3076,11.4933,11.2444,11.1404,11.1913,11.0800,11.1774,11.0516, &
      &          11.2212,11.1455,11.2697,11.2677,11.2589,11.3476,11.2765,11.1319, &
      &          11.1276,11.3414,11.3370,11.1990,11.2877,11.2076,11.3055,11.1095, &
      &          11.3299,11.2274,11.1903,11.1342,11.2022,11.1761,11.1063,10.9946, &
      &          11.0159,11.2371,11.1657,11.2920,11.1447,11.1333,11.1092,11.0862, &
      &          11.3223,11.3150,11.4838,11.3687,11.3913,11.4176,11.5615,11.4684, &
      &          11.1821,11.2546,11.1483,11.3439,11.0770,11.2198,11.4042,11.1329, &
      &          11.3999,11.3934,11.3785,11.2824,11.5336,11.6613,11.2956,11.2397, &
      &          11.4280,11.1771,11.2459,11.2975,11.2583,11.5336,11.4432,11.5699, &
      &          11.5702,11.3656,11.2315,11.2996,11.3523,11.6195,11.4975,11.5317, &
      &          11.3733,11.3758,11.5763,11.4676,11.3931,11.4372,11.3684,11.3994, &
      &          11.3093,11.3146,11.4749,11.4378,11.5443,11.6203,11.7093,11.7122, &
      &          11.5080,11.3548,11.3736,11.4521,11.4637,11.3873,11.4155,11.4593, &
      &          11.4319,11.3629,11.6388,11.5518,11.6050,11.6241,11.6264,11.7136, &
      &          11.6001,11.4966,11.4841,11.8020,11.7426,11.5370,11.4178,11.2306, &
      &          11.3696,11.6675,11.5421,11.4002,11.4285,11.4687,11.5917,11.7213, &
      &          11.5370,11.4594,11.5526,11.5265,11.4299,11.4420,11.5213,11.5751, &
      &          11.6072,11.6985,11.5866,11.3565,11.4700,11.4272,11.4033,11.5668, &
      &          11.5469,11.7195,11.4361,11.5700,11.4594,11.5743,11.5856,11.5857, &
      &          11.8395,11.9661,11.9425,11.8627,11.7674,11.7369,11.8365,11.8749, &
      &          11.6641,11.5762,11.3995,11.3918,11.2695,11.2581,11.2770,11.2333, &
      &          11.0454,10.9796,10.9040,10.7747,10.7433,10.7615,10.7398,10.6973, &
      &          10.5819,10.6839,10.5572,10.4318,10.3293,10.4040,10.3941,10.2747, &
      &          10.2153,10.1630,10.0662,10.0662,10.0280,10.0342,9.9697,9.9778, &
      &          9.9657,9.9049,9.9687,9.9368,9.8356,9.8240,9.8847,9.8863, &
      &          9.9868,9.9507,10.0051,10.0622,10.0216,9.9738,10.0095,10.0065, &
      &          9.9264,9.9637,10.1572,10.0486,10.1541,10.1543,10.2965,10.2568, &
      &          10.2259,10.4034,10.3441,10.2416,10.2137,10.3687,10.2815,10.3959, &
      &          10.4604,10.5116,10.5647,10.4945,10.5186,10.5573,10.5506,10.4861, &
      &          10.5988,10.6114,10.5740,10.5824,10.5800,10.5055,10.5073,10.4800, &
      &          10.5795,10.5550,10.5283,10.5385,10.5859,10.5352,10.5822,10.5862, &
      &          10.6477,10.5870,10.5050,10.5058,10.5533,10.5997,10.6018,10.5312, &
      &          10.5513,10.2749,10.4677,10.3050,10.1634,10.3252,10.4237,10.4071, &
      &          10.3978,10.4198,10.3782,10.3237,10.3777,10.4014,10.3229,10.2555, &
      &          10.3048,10.2643,10.2218,10.3036,10.2642,10.3833,10.4195,10.4161, &
      &          10.3024,10.2542,10.2953,10.3055,10.3143,10.2070,10.2660,10.2803, &
      &          10.3988,10.3958,10.2883,10.2678,10.2312,10.2873,10.2716,10.3127, &
      &          10.2178,10.1414,10.1558,10.2762,10.2475,10.2373,10.2432,10.2123, &
      &          10.2044,10.1740,10.2916,10.2478,10.2973,10.2307,10.2784,10.2747, &
      &          10.2336,10.2831,10.2264,10.2302,10.1888,10.2074,10.1552,10.1632, &
      &          10.1707,10.2279,10.2200,10.2451,10.1789,10.1599,10.1633,10.2593, &
      &          10.2626,10.3146,10.1962,10.2500,10.1463,10.2024,10.1598,10.1061, &
      &          10.1216,10.0406,10.1126,10.1658,10.2301,10.1624,10.1726,10.1650, &
      &          10.1718,10.1897,10.2078,10.0939,10.1109,10.1501,10.1432,10.2980, &
      &          10.1652,10.1802,10.1802,10.1692,10.1330,10.0217,10.0549,10.1308, &
      &          10.0769,10.0668,9.9993,10.0297,10.1043,9.9519,9.9872,9.9167, &
      &          9.9200,9.8594,9.8848,9.9839,10.0331,9.9731,9.8888,9.9327, &
      &          9.7569,9.7505,9.8659,9.8971,9.8113,9.9551,10.0389,9.9170, &
      &          9.8540,9.8594,9.7932,9.7356,9.7102,9.7295,9.7488,9.6759, &
      &          9.6516,9.8235,9.7646,9.7029,9.6785,9.7408,9.7890,9.6658, &
      &          9.6562,9.6308,9.6245,9.6657,9.6625,9.6987,9.6987,9.7116, &
      &          9.5580,9.4684,9.4630,9.4214,9.2965,9.4396,9.4436,9.5469, &
      &          9.5357,9.6991,9.4686,9.3284,9.3406,9.4150,9.4027,9.3713, &
      &          9.4953,9.4699,9.4453,9.3707,9.4274,9.4079,9.4301,9.4685, &
      &          9.3687,9.3115,9.1885,9.1766,9.1651,9.2729,9.2457,9.3122, &
      &          9.1581,9.0896,9.1141,9.1170,9.1884,9.1535,9.0937,9.0991, &
      &          9.1174,9.0819,9.1561,9.1817,9.1712,9.0634,9.0548,9.0708, &
      &          9.0953,9.1722,9.0530,8.9745,9.0325,9.0437,9.1346,9.1028, &
      &          8.9769,8.9912,9.0330,9.0246,9.0027,9.1441,9.0745,9.0355, &
      &          9.0630,9.0145,8.9433,8.9850,9.0600,9.0281,9.0262,9.0431, &
      &          8.9838,9.0096,9.0696,9.0574,8.9646,8.9576,9.0584,9.0467, &
      &          8.9721,8.9740,9.0496,9.0372,9.0356,9.0546,9.0190,8.9841, &
      &          8.9437,8.9639,8.9963,9.0229,9.0026,8.9316,8.9906,9.0145, &
      &          8.9641,8.9896,8.9480,8.8774,8.9606,8.9636,8.9456,8.9958, &
      &          8.9667,8.8750,8.8992,8.9529,8.9958,9.0787,8.9745,8.8547, &
      &          8.9004,8.9034,8.9442,8.9843,8.9651,8.9672,8.9625,8.8935, &
      &          8.8711,8.9610,9.0555,9.0148,8.9683,8.9498,8.9299,8.8971, &
      &          8.9098,8.9413,8.9156,8.9074,8.9198,8.9212,8.9634,9.0166, &
      &          8.9901,8.9306,8.9273,8.9158,8.9004,8.9267,8.9166,8.8950, &
      &          8.9151,8.8638,8.8711,8.9137,8.8678,8.8750,8.8976,8.8638, &
      &          8.8741,8.9238,8.9620,8.9862,8.9510,8.8678,8.8704,8.9878, &
      &          9.0131,8.8982,8.9128,8.8889,8.7989,8.8551,8.9010,8.8371, &
      &          8.9090,8.9413,8.9140,8.8844,8.8068,8.8080,8.8835,8.9540, &
      &          8.9449,8.9592,8.9552,8.8870,8.8910,8.8870,8.9044,8.9116, &
      &          8.9008,8.9121,8.9309,8.9613,8.9397,8.9194,8.9220,8.8608, &
      &          8.8125,8.8498,8.8851,8.9402,8.9628,8.8917,8.8633,8.8472, &
      &          8.8474,8.8767,8.8774,8.8636,8.8792,8.8999,8.8771,8.8296, &
      &          8.8306,8.8617,8.8221,8.7663,8.8312,8.8645,8.8966,8.8924, &
      &          8.8992,8.9018,8.8410,8.8239,8.8205,8.7963,8.8462,8.8373, &
      &          8.8038,8.7621,8.8003,8.8493,8.7623,8.7311,8.7823,8.8106, &
      &          8.8502,8.8537,8.8566,8.9036,8.8423,8.7600,8.7911,8.7972, &
      &          8.7968,8.7982,8.7693,8.7689,8.7883,8.7925,8.7441,8.7665, &
      &          8.7935,8.7457,8.7592,8.7436,8.7197,8.7555,8.7659,8.8015, &
      &          8.8094,8.7989,8.8195,8.8914,8.8532,8.7426,8.7316,8.7703, &
      &          8.7750,8.8272,8.8425,8.7876,8.7114,8.6838,8.6826,8.7769, &
      &          8.8137,8.7244,8.7494,8.8104,8.7792,8.7470,8.6992,8.6681, &
      &          8.7488,8.8186,8.8366,8.8280,8.7558,8.7044,8.7708,8.7844, &
      &          8.7780,8.7740,8.7202,8.7293,8.7689,8.7127,8.7441,8.8127, &
      &          8.7717,8.7408,8.7059,8.6916,8.7504,8.7131,8.6620,8.6930, &
      &          8.7366,8.7703,8.7555,8.7408,8.6997,8.6740,8.7412,8.7909, &
      &          8.6854,8.6290,8.6517,8.6384,8.6203,8.6623,8.7056,8.6997, &
      &          8.7328,8.7246,8.6431,8.6672,8.7475,8.7431,8.7550,8.7537, &
      &          8.7304,8.6698,8.6948,8.7049,8.6892,8.6702,8.6463,8.6264, &
      &          8.6510,8.6686,8.7389,8.7581,8.7127,8.6578,8.5987,8.6020, &
      &          8.7028,8.6986,8.6771,8.7005,8.7124,8.7454,8.7002,8.6859, &
      &          8.6920,8.6288,8.5976,8.5610,8.5940,8.6646,8.6702,8.6533, &
      &          8.6208,8.5969,8.6174,8.6078,8.6322,8.6477,8.6121,8.5997, &
      &          8.5955,8.6309,8.6250,8.5704,8.6013,8.6296,8.6153,8.5643, &
      &          8.5694,8.5847,8.6564,8.6615,8.6125,8.6198,8.6533,8.6800, &
      &          8.6649,8.6369,8.6135,8.6189,8.6292,8.5598,8.5472,8.5615, &
      &          8.5696,8.6257,8.6489,8.5896,8.5999,8.6076,8.5514,8.5373, &
      &          8.6049,8.6278,8.6067,8.6008,8.5870,8.5404,8.5169,8.5688, &
      &          8.6334,8.6252,8.5779,8.5111,8.5008,8.5638,8.5530,8.5256, &
      &          8.4834,8.4677,8.4501,8.4532,8.5413,8.5935,8.5376,8.5251, &
      &          8.5111,8.4818,8.5127,8.5284,8.4852,8.4639,8.4940,8.5067, &
      &          8.5289,8.5310,8.4855,8.4989,8.5605,8.5774,8.5335,8.5083, &
      &          8.4659,8.4947,8.5373,8.5041,8.5036,8.5120,8.5111,8.5594, &
      &          8.5460,8.4953,8.4947,8.5303,8.5202,8.5608,8.5882,8.5031, &
      &          8.4787,8.5038,8.4780,8.4571,8.4949,8.5008,8.4672,8.4703, &
      &          8.4977,8.5340,8.5235,8.4787,8.4527,8.4394,8.4740,8.4452, &
      &          8.4828,8.5415,8.4834,8.4234,8.4220,8.3984,8.4314,8.4945, &
      &          8.5298,8.5155,8.4808,8.4663,8.4236,8.4283,8.4496,8.4953, &
      &          8.4797,8.4286,8.4639,8.4733,8.4429,8.4483,8.4302,8.4077, &
      &          8.4152,8.4417,8.4464,8.4761,8.4567,8.4005,8.3979,8.4112, &
      &          8.4005,8.4199,8.4569,8.4262,8.4379,8.4156,8.3782,8.4047, &
      &          8.4553,8.4353,8.4260,8.3990,8.3667,8.4206,8.4225,8.4016, &
      &          8.3850,8.3791,8.4072,8.3911,8.3826,8.3740,8.3896,8.3695, &
      &          8.3243,8.3130,8.3119,8.3174,8.3182,8.3728,8.4028,8.4171, &
      &          8.3721,8.3374,8.3410,8.3552,8.3543,8.3512,8.3693,8.4059, &
      &          8.4223,8.4013,8.3667,8.3836,8.4173,8.3771,8.3649,8.3608, &
      &          8.3841,8.3711,8.3556,8.4060,8.4096,8.4298,8.3979,8.3407, &
      &          8.3592,8.3831,8.3867,8.3730,8.3555,8.3646,8.3576,8.3428, &
      &          8.3351,8.3489,8.3397,8.3644,8.3604,8.3655,8.3862,8.3695, &
      &          8.3418,8.3074,8.3132,8.3081,8.3337,8.3709,8.3498,8.3355, &
      &          8.3540,8.3662,8.3339,8.3196,8.3301,8.2971,8.2662,8.2387, &
      &          8.2927,8.3867,8.3714,8.3002,8.2985,8.3078,8.2795,8.2805, &
      &          8.2805,8.2987,8.2781,8.2659,8.2511,8.2673,8.3102,8.2976, &
      &          8.2293,8.1631,8.1813,8.2164,8.2425,8.2919,8.3083,8.2924, &
      &          8.3055,8.2966,8.2444,8.2141,8.2017,8.1797,8.2333,8.2720, &
      &          8.2722,8.2621,8.2249,8.1829,8.1623,8.1517,8.1663,8.1265, &
      &          8.0984,8.1283,8.1371,8.1337,8.1241,8.1169,8.0742,8.0465, &
      &          8.0031,7.9491,7.9566,7.9366,7.9303,7.9493,7.9017,7.8616, &
      &          7.8377,7.7355,7.5823,7.5194,7.5748,7.6324,7.7114,7.7288, &
      &          7.7212,7.6652,7.5953,7.6291,7.6460,7.5881,7.5431,7.5281, &
      &          7.5272,7.5265,7.4826,7.4683,7.4805,7.4221,7.3641,7.3901, &
      &          7.4093,7.3701,7.3415,7.3272,7.3338,7.3179,7.2972,7.2958, &
      &          7.3099,7.2806,7.2400,7.2065,7.2042,7.2202,7.2330,7.2169, &
      &          7.2012,7.1892,7.1751,7.1608,7.1472,7.1452,7.1559,7.1203, &
      &          7.1046,7.0692,7.0617,7.0566,7.0369,7.0685,7.0849,7.0884, &
      &          7.0919,7.0092,6.9649,6.9808,6.9867,6.9912,7.0064,6.9597, &
      &          6.9635,6.9782,6.9579,6.9394,6.9335,6.9349,6.9337,6.9520, &
      &          6.9499,6.9112,6.9140,6.9295,6.8871,6.8615,6.8688,6.8681, &
      &          6.8556,6.8343,6.8477,6.8330,6.8233,6.8555,6.8756,6.7980, &
      &          6.7969,6.8602,6.8442,6.7856,6.8151,6.8264,6.8177,6.8395, &
      &          6.7898,6.7624,6.7662,6.7720,6.7950,6.7959,6.7692,6.7314, &
      &          6.7519,6.7621,6.7282,6.6776,6.7212,6.7582,6.7064,6.7167, &
      &          6.7317,6.7244,6.6825,6.6977,6.7289,6.7113,6.6797,6.6553, &
      &          6.6652,6.6719,6.6756,6.6635,6.6283,6.6265,6.6471,6.6551, &
      &          6.6387,6.6340,6.6176,6.5937,6.5751,6.5941,6.6012,6.5800, &
      &          6.5709,6.5974,6.5681,6.5395,6.5447,6.5133,6.4717,6.4556, &
      &          6.4826,6.5149,6.5008,6.4956,6.4901,6.5109,6.4997,6.5013, &
      &          6.5133,6.5018,6.4880,6.4833,6.4645,6.5055,6.5296,6.5023, &
      &          6.4769,6.4844,6.4953,6.4826,6.4956,6.4860,6.4692,6.4948, &
      &          6.4955,6.4704,6.4725,6.4943,6.5083,6.4816,6.4896,6.4835, &
      &          6.4956,6.4990,6.4767,6.4896,6.4997,6.4701,6.4596,6.4561, &
      &          6.4856,6.5236,6.5119,6.4807,6.4725,6.4990,6.4932,6.4537, &
      &          6.4298,6.4716,6.5182,6.5252,6.5205,6.4943,6.4969,6.5151, &
      &          6.4865,6.4462,6.4478,6.4425,6.4582,6.4683,6.4870,6.4992, &
      &          6.4922,6.4992,6.4964,6.4966,6.5078,6.4647,6.4701,6.5271, &
      &          6.5606,6.5447,6.5172,6.4903,6.4652,6.5174,6.5442,6.5243, &
      &          6.5034,6.5039,6.5463,6.5473,6.5100,6.4833,6.4896,6.5179, &
      &          6.5121,6.4906,6.5215,6.5498,6.5470,6.5452,6.5721,6.5657, &
      &          6.5538,6.5665,6.5981,6.5922,6.5688,6.5625,6.5792,6.5943, &
      &          6.6080,6.5836,6.5747,6.6005,6.6187,6.6159,6.6272,6.6337, &
      &          6.6459,6.6429,6.6534,6.6612,6.6520,6.6213,6.6382,6.6539, &
      &          6.6525,6.6825,6.6820,6.6748,6.6987,6.6974,6.6753,6.6613, &
      &          6.6992,6.7551,6.7624,6.7273,6.7192,6.7537,6.7650,6.7425, &
      &          6.7545,6.7743,6.7792,6.7474,6.7413,6.7692,6.7720,6.7788, &
      &          6.8081,6.8238,6.8290,6.8285,6.7875,6.7730,6.8194,6.8512, &
      &          6.8473,6.8020,6.7802,6.8049,6.8330,6.8132,6.8149,6.8449, &
      &          6.8418,6.8231,6.8192,6.8392,6.8428,6.8508,6.8456,6.8459, &
      &          6.8564,6.8691,6.8447,6.8124,6.8210,6.8611,6.8803,6.8564, &
      &          6.8843,6.8768,6.8412,6.8463,6.8824,6.8969,6.8880,6.8909, &
      &          6.8810,6.8916,6.9133,6.9013,6.8990,6.8916,6.8771,6.8995, &
      &          6.9199,6.8992,6.9161,6.9420,6.9431,6.9228,6.9257,6.9321, &
      &          6.9194,6.9049,6.8958,6.9005,6.9199,6.9039,6.8972,6.8859, &
      &          6.8845,6.9033,6.9068,6.8953,6.8740,6.8384,6.8259,6.8273, &
      &          6.8125,6.7802,6.7873,6.7818,6.7493,6.7212,6.7057,6.6642, &
      &          6.6244,6.5749,6.5569,6.5463,6.5163,6.4969,6.4788,6.4880, &
      &          6.4849,6.4774,6.4730,6.4704,6.5135,6.5275,6.5049,6.5078, &
      &          6.5264,6.5210,6.5013,6.4488,6.4059,6.4169,6.4259,6.4120, &
      &          6.4017,6.4146,6.4521,6.4692,6.4633,6.4948,6.5508,6.5909, &
      &          6.5810,6.5646,6.5826,6.6192,6.6459,6.6581,6.6459,6.6475, &
      &          6.6693,6.6712,6.6963,6.7275,6.7329,6.7254,6.7218,6.7148, &
      &          6.7101,6.6956,6.6940,6.6719,6.6501,6.6654,6.6691,6.6733, &
      &          6.6846,6.6945,6.7054,6.7078,6.7029,6.7064,6.7139,6.7270, &
      &          6.7371,6.7662,6.8285,6.8704,6.8988,6.9103,6.9150,6.9291, &
      &          6.9447,6.9438,6.9501,6.9480,6.9530,6.9693,6.9862,6.9792, &
      &          6.9883,7.0120,7.0289,7.0249,7.0047,7.0054,7.0092,7.0090, &
      &          7.0306,7.0195,7.0029,6.9888,7.0071,7.0333,7.0071,6.9904, &
      &          6.9919,6.9886,6.9963,7.0155,7.0332,7.0213,7.0008,7.0000, &
      &          7.0125,7.0104,7.0134,7.0059,6.9979,7.0045,6.9972,6.9992, &
      &          7.0052,6.9919,6.9928,6.9972,7.0130,7.0184,7.0036,7.0008, &
      &          6.9895,6.9665,6.9698,6.9686,6.9764,6.9928,6.9878,6.9832, &
      &          6.9872,6.9881,6.9804,6.9712,6.9940,6.9932,6.9755,6.9656, &
      &          6.9828,6.9925,6.9839,6.9647,6.9712,6.9886,6.9872,6.9756, &
      &          6.9597,6.9675,6.9745,6.9771,6.9878,6.9878,6.9717,6.9564, &
      &          6.9478,6.9581,6.9787,6.9748,6.9701,6.9755,6.9766,6.9567, &
      &          6.9471,6.9590,6.9475,6.9236,6.9581,6.9621,6.9255,6.9293, &
      &          6.9371,6.9309,6.9420,6.9483,6.9405,6.9283,6.9194,6.9072, &
      &          6.9255,6.9431,6.9309,6.9307,6.9288,6.9063,6.9143,6.9202, &
      &          6.9156,6.8974,6.8805,6.8749,6.8758,6.8969,6.8997,6.8951, &
      &          6.8911,6.8913,6.8792,6.8787,6.8618,6.8662,6.8691,6.8548, &
      &          6.8686,6.8831,6.8753,6.8618,6.8800,6.8997,6.8913,6.8615, &
      &          6.8477,6.8498,6.8611,6.8555,6.8512,6.8473,6.8475,6.8273, &
      &          6.8259,6.8374,6.8435,6.8322,6.8386,6.8273,6.8132,6.8055, &
      &          6.8008,6.8283,6.8369,6.7992,6.7955,6.7994,6.8039,6.8130, &
      &          6.8147,6.7854,6.7835,6.7999,6.7849,6.7914,6.7982,6.7739, &
      &          6.7603,6.7748,6.7859,6.7945,6.7908,6.7730,6.7716,6.7821, &
      &          6.7816,6.7683,6.7629,6.7709,6.7873,6.7657,6.7605,6.7696, &
      &          6.7457,6.7371,6.7556,6.7600,6.7509,6.7470,6.7376,6.7387, &
      &          6.7498,6.7413,6.7286,6.7148,6.6935,6.7184,6.7322,6.7286, &
      &          6.7184,6.6974,6.6968,6.7024,6.7146,6.7106,6.6974,6.6870, &
      &          6.6919,6.6849,6.6818,6.6735,6.6717,6.6761,6.6902,6.6764, &
      &          6.6612,6.6740,6.6888,6.6635,6.6496,6.6501,6.6361,6.6309, &
      &          6.6330,6.6270,6.6206,6.6143,6.6302,6.6345,6.6110,6.5974, &
      &          6.6070,6.6044,6.5901,6.5916,6.5850,6.5838,6.5871,6.5772, &
      &          6.5564,6.5452,6.5667,6.5660,6.5553,6.5486,6.5423,6.5416, &
      &          6.5203,6.5133,6.5025,6.4948,6.5032,6.4849,6.4620,6.4429, &
      &          6.4397,6.4263,6.4104,6.4104,6.4282,6.4172,6.3909,6.3839, &
      &          6.3764,6.3569,6.3537,6.3429,6.3488,6.3330,6.3106,6.3129, &
      &          6.3077,6.2969,6.2676,6.2470,6.2625,6.2678,6.2317,6.2121, &
      &          6.2224,6.2198,6.2013,6.2013,6.1917,6.1751,6.1739,6.1624, &
      &          6.1449,6.1329,6.1397,6.1397,6.1324,6.1317,6.1143,6.0963, &
      &          6.1031,6.1043,6.1052,6.1021,6.0790,6.0618,6.0605,6.0506, &
      &          6.0612,6.0560,6.0270,6.0164,6.0281,6.0194,6.0093,6.0164, &
      &          6.0016,5.9784,5.9691,5.9465,5.9644,5.9751,5.9519,5.9243, &
      &          5.9296,5.9221,5.9060,5.8971,5.8999,5.8860,5.8537,5.8350, &
      &          5.8397,5.8314,5.8020,5.7989,5.7940,5.7714,5.7753,5.7761, &
      &          5.7564,5.7426,5.7309,5.7023,5.6772,5.6896,5.6894,5.6594, &
      &          5.6416,5.6367,5.6072,5.5917,5.5896,5.5716,5.5608,5.5571, &
      &          5.5423,5.5109,5.4844,5.4652,5.4614,5.4483,5.4312,5.4129, &
      &          5.4145,5.4368,5.4208,5.3735,5.3655,5.3725,5.3782,5.3779, &
      &          5.3529,5.3452,5.3137,5.2807,5.2894,5.2933,5.2610,5.2434, &
      &          5.2268,5.2195,5.2385,5.2275,5.1961,5.1924,5.1790,5.1694, &
      &          5.1602,5.1665,5.1895,5.1691,5.1272,5.1091,5.1002,5.0878, &
      &          5.0847,5.0728,5.0686,5.0665,5.0608,5.0480,5.0384,5.0271, &
      &          5.0088,4.9818,4.9753,4.9889,4.9865,4.9582,4.9376,4.9282, &
      &          4.9148,4.8989,4.8966,4.8876,4.8490,4.8337,4.8133,4.8035, &
      &          4.7960,4.7691,4.7294,4.7133,4.7182,4.7184,4.6901,4.6643, &
      &          4.6486,4.6542,4.6634,4.6364,4.6139,4.6099,4.6073,4.5703, &
      &          4.5516,4.5579,4.5488,4.5239,4.5161,4.5106,4.5084,4.4909, &
      &          4.4670,4.4463,4.4414,4.4449,4.4414,4.4236,4.4036,4.4044, &
      &          4.4171,4.4145,4.3898,4.3847,4.3816,4.3701,4.3259,4.3216, &
      &          4.3348,4.3176,4.2872,4.2612,4.2698,4.2595,4.2361,4.2241, &
      &          4.2176,4.2060,4.1883,4.1747,4.1676,4.1559,4.1489,4.1496, &
      &          4.1236,4.0955,4.0856,4.0769,4.0675,4.0514,4.0470,4.0356, &
      &          4.0075,3.9797,3.9660,3.9434,3.9293,3.8972,3.8826,3.8939, &
      &          3.8850,3.8728,3.8639,3.8264,3.8083,3.8065,3.7903,3.7720, &
      &          3.7776,3.7873,3.7805,3.7566,3.7390,3.7355,3.7322,3.7380, &
      &          3.7441,3.7312,3.7247,3.7282,3.7236,3.7068,3.7193,3.7169, &
      &          3.7062,3.7156,3.7068,3.6816,3.6823,3.6971,3.6876,3.6698, &
      &          3.6715,3.6867,3.6857,3.6771,3.6682,3.6347,3.6084,3.6002, &
      &          3.6148,3.6166,3.5963,3.5824,3.5878,3.6070,3.5948,3.5651, &
      &          3.5498,3.5491,3.5322,3.5023,3.5057,3.5205,3.5172,3.4844, &
      &          3.4722,3.4746,3.4699,3.4577,3.4280,3.4076,3.4263,3.4356, &
      &          3.4210,3.3914,3.3839,3.3954,3.3820,3.3473,3.3403,3.3190, &
      &          3.2909,3.2702,3.2698,3.2758,3.2634,3.2372,3.2078,3.1915, &
      &          3.1877,3.1823,3.1863,3.1908,3.1769,3.1652,3.1483,3.1621, &
      &          3.1706,3.1525,3.1436,3.1336,3.1163,3.0998,3.0867,3.0867, &
      &          3.0832,3.0717,3.0628,3.0710,3.0668,3.0068,3.0012,3.0270, &
      &          2.9972,2.9649,2.9414,2.9200,2.9367,2.9356,2.9314,2.9238, &
      &          2.9098,2.8746,2.8610,2.8906,2.8992,2.8903,2.8680,2.8530, &
      &          2.8504,2.8397,2.8353,2.8462,2.8470,2.8413,2.8453,2.8572, &
      &          2.8558,2.8324,2.8106,2.8200,2.8052,2.7804,2.7972,2.8036, &
      &          2.7776,2.7478,2.7522,2.7660,2.7546,2.7408,2.7434,2.7539, &
      &          2.7286,2.7112,2.7218,2.7431,2.7511,2.7464,2.7551,2.7581, &
      &          2.7405,2.7333,2.7514,2.7631,2.7769,2.7878,2.7644,2.7556, &
      &          2.7846,2.7689,2.7682,2.7727,2.7657,2.7736,2.7998,2.7994, &
      &          2.7780,2.7804,2.7729,2.7564,2.7612,2.7616,2.7457,2.7302, &
      &          2.7166,2.7150,2.7180,2.7314,2.7415,2.7119,2.7278,2.7375, &
      &          2.7267,2.7368,2.7319,2.7276,2.7445,2.7180,2.6873,2.6717, &
      &          2.6789,2.6632,2.6470,2.6618,2.6629,2.6463,2.6395,2.6459, &
      &          2.6294,2.6154,2.6208,2.6662,2.6922,2.6838,2.7007,2.7143, &
      &          2.6969,2.6850,2.6733,2.6522,2.6433,2.6433,2.6297,2.6013, &
      &          2.5818,2.5688,2.5540,2.5411,2.5758,2.6062,2.6109,2.6151, &
      &          2.6016,2.5898,2.5961,2.5786,2.5880,2.5957,2.5886,2.5716, &
      &          2.5525,2.5512,2.5408,2.5275,2.5594,2.5906,2.5922,2.5680, &
      &          2.5735,2.5685,2.5517,2.5556,2.5319,2.5104,2.5085,2.4984, &
      &          2.5008,2.5249,2.4940,2.4612,2.4636,2.4553,2.4457,2.4335, &
      &          2.4382,2.4317,2.4349,2.4410,2.4328,2.4091,2.3883,2.3796, &
      &          2.3653,2.3550,2.3503,2.3283,2.3367,2.3367,2.3078,2.2873, &
      &          2.2764,2.2652,2.2701,2.2111,2.1745,2.2184,2.2193,2.1977, &
      &          2.1844,2.1663,2.1649,2.1682,2.1509,2.1398,2.1572,2.1712, &
      &          2.1351,2.1286,2.1400,2.1377,2.1150,2.1232,2.1260,2.1190, &
      &          2.1216,2.1436,2.1492,2.1436,2.1182,2.1016,2.1016,2.1115, &
      &          2.0733,2.0341,2.0841,2.1039,2.1018,2.0964,2.1136,2.1283, &
      &          2.1228,2.1569,2.1802,2.1839,2.2127,2.2332,2.2428,2.2549, &
      &          2.2714,2.3076,2.3447,2.3508,2.3704,2.3834,2.3977,2.4171, &
      &          2.4426,2.4516,2.4832,2.4755,2.4548,2.5076,2.5542,2.5680, &
      &          2.5976,2.6578,2.7065,2.7522,2.8242,2.9081,2.9751,3.0649, &
      &          3.1714,3.2847,3.4117,3.5449,3.6984,3.8364,3.9785,4.1290, &
      &          4.3017,4.5115,4.7367,4.9439,5.1447,5.3171,5.5207,5.7059, &
      &          5.9506,6.0971,6.1078,6.2330,6.3992,6.5850,6.7786,6.9232, &
      &          7.0314,7.1304,7.2129,7.3212,7.4210,7.4454,7.5215,7.6324, &
      &          7.7364,7.8494,7.9301,7.9802,8.0283,8.0815,8.1208,8.1454, &
      &          8.1389,8.1644,8.2085,8.2990,8.4122,8.4916,8.5387,8.5912, &
      &          8.6343,8.7042,8.8282,8.9194,8.9672,9.0206,9.0855,9.1343, &
      &          9.1837,9.2529,9.2721,9.2948,9.3010,9.2758,9.2651,9.2704, &
      &          9.2369,9.1390,9.0771,9.0436,8.9831,8.8938,8.7971,8.7197, &
      &          8.5919,8.4340,8.3714,8.3189,8.2186,8.0564,7.9474,7.9106, &
      &          7.8288,7.7343,7.7132,7.7317,7.7559,7.7480,7.7545,7.7932, &
      &          7.8349,7.8806,7.9397,8.0217,8.1070,8.1872,8.3313,8.4787, &
      &          8.5514,8.6369,8.7391,8.8753,9.1244,9.2168,9.1807,9.2870, &
      &          9.3548,9.4340,9.4568,9.4725,9.4924,9.5125,9.4884,9.4418, &
      &          9.4584,9.4847,9.4891,9.5100,9.5121,9.5512,9.5610,9.5704, &
      &          9.5798,9.5662,9.5506,9.5296,9.4945,9.4446,9.4036,9.3506, &
      &          9.3670,9.4282,9.4008,9.4070,9.4842,9.5810,9.6748,9.7641, &
      &          9.8870,10.0033,10.1224,10.1711,10.2764,10.3548,10.3760,10.4114, &
      &          10.4628,10.5114,10.5288,10.5255,10.5133,10.5537,10.5764,10.5420, &
      &          10.5145,10.5180,10.4700,10.4148,10.4046,10.3413,10.2307,10.0880, &
      &          9.9778,9.8508,9.7540,9.6148,9.4439,9.2784,9.1399,8.9995, &
      &          8.8709,8.7501,8.6198,8.4919,8.3587,8.2514,8.0413,7.8255, &
      &          7.6478,7.4629,7.3090,7.1498,6.9686,6.7781,6.6656,6.5367, &
      &          6.3553,6.1685,5.9972,5.9257,5.8650,5.7445,5.6147,5.4652, &
      &          5.3423,5.2350,5.1778,5.0880,4.9055,4.7519,4.7028,4.6064, &
      &          4.5119,4.4808,4.4145,4.2670,4.1826,4.2063,4.0453,3.8660, &
      &          3.8538,3.8151,3.6883,3.5696,3.4151,3.3349,3.3251,3.2501, &
      &          3.1491,3.0112,2.8542,2.7464,2.7106,2.6452,2.5767,2.5948, &
      &          2.6238,2.5800,2.5784,2.5195,2.2818,2.1241,2.2319,2.2418, &
      &          2.1649,2.1588,2.1169,2.0660,2.1237,2.1855,2.0264,1.9592, &
      &          1.7437,2.0044,2.2551,2.2047,1.9971,1.7686,1.8631,1.7958, &
      &          1.7859,1.8073,1.6097,1.6764,1.9678,1.8904,2.1108,2.6049, &
      &          2.1434,1.7398,1.5717,1.8543,1.7569,1.0706,1.8084,2.2366, &
      &          1.2518,0.6921,1.1927,0.975 /)
