       real :: wvbasaltsolid(3839) = (/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, &
      &          0.8000,0.8010,0.8020,0.8030,0.8040,0.8050,0.8060,0.8070, &
      &          0.8080,0.8090,0.8100,0.8110,0.8120,0.8130,0.8140,0.8150, &
      &          0.8160,0.8170,0.8180,0.8190,0.8200,0.8210,0.8220,0.8230, &
      &          0.8240,0.8250,0.8260,0.8270,0.8280,0.8290,0.8300,0.8310, &
      &          0.8320,0.8330,0.8340,0.8350,0.8360,0.8370,0.8380,0.8390, &
      &          0.8400,0.8410,0.8420,0.8430,0.8440,0.8450,0.8460,0.8470, &
      &          0.8480,0.8490,0.8500,0.8510,0.8520,0.8530,0.8540,0.8550, &
      &          0.8560,0.8570,0.8580,0.8590,0.8600,0.8610,0.8620,0.8630, &
      &          0.8640,0.8650,0.8660,0.8670,0.8680,0.8690,0.8700,0.8710, &
      &          0.8720,0.8730,0.8740,0.8750,0.8760,0.8770,0.8780,0.8790, &
      &          0.8800,0.8810,0.8820,0.8830,0.8840,0.8850,0.8860,0.8870, &
      &          0.8880,0.8890,0.8900,0.8910,0.8920,0.8930,0.8940,0.8950, &
      &          0.8960,0.8970,0.8980,0.8990,0.9000,0.9010,0.9020,0.9030, &
      &          0.9040,0.9050,0.9060,0.9070,0.9080,0.9090,0.9100,0.9110, &
      &          0.9120,0.9130,0.9140,0.9150,0.9160,0.9170,0.9180,0.9190, &
      &          0.9200,0.9210,0.9220,0.9230,0.9240,0.9250,0.9260,0.9270, &
      &          0.9280,0.9290,0.9300,0.9310,0.9320,0.9330,0.9340,0.9350, &
      &          0.9360,0.9370,0.9380,0.9390,0.9400,0.9410,0.9420,0.9430, &
      &          0.9440,0.9450,0.9460,0.9470,0.9480,0.9490,0.9500,0.9510, &
      &          0.9520,0.9530,0.9540,0.9550,0.9560,0.9570,0.9580,0.9590, &
      &          0.9600,0.9610,0.9620,0.9630,0.9640,0.9650,0.9660,0.9670, &
      &          0.9680,0.9690,0.9700,0.9710,0.9720,0.9730,0.9740,0.9750, &
      &          0.9760,0.9770,0.9780,0.9790,0.9800,0.9810,0.9820,0.9830, &
      &          0.9840,0.9850,0.9860,0.9870,0.9880,0.9890,0.9900,0.9910, &
      &          0.9920,0.9930,0.9940,0.9950,0.9960,0.9970,0.9980,0.9990, &
      &          1.0000,1.0010,1.0020,1.0030,1.0040,1.0050,1.0060,1.0070, &
      &          1.0080,1.0090,1.0100,1.0110,1.0120,1.0130,1.0140,1.0150, &
      &          1.0160,1.0170,1.0180,1.0190,1.0200,1.0210,1.0220,1.0230, &
      &          1.0240,1.0250,1.0260,1.0270,1.0280,1.0290,1.0300,1.0310, &
      &          1.0320,1.0330,1.0340,1.0350,1.0360,1.0370,1.0380,1.0390, &
      &          1.0400,1.0410,1.0420,1.0430,1.0440,1.0450,1.0460,1.0470, &
      &          1.0480,1.0490,1.0500,1.0510,1.0520,1.0530,1.0540,1.0550, &
      &          1.0560,1.0570,1.0580,1.0590,1.0600,1.0610,1.0620,1.0630, &
      &          1.0640,1.0650,1.0660,1.0670,1.0680,1.0690,1.0700,1.0710, &
      &          1.0720,1.0730,1.0740,1.0750,1.0760,1.0770,1.0780,1.0790, &
      &          1.0800,1.0810,1.0820,1.0830,1.0840,1.0850,1.0860,1.0870, &
      &          1.0880,1.0890,1.0900,1.0910,1.0920,1.0930,1.0940,1.0950, &
      &          1.0960,1.0970,1.0980,1.0990,1.1000,1.1010,1.1020,1.1030, &
      &          1.1040,1.1050,1.1060,1.1070,1.1080,1.1090,1.1100,1.1110, &
      &          1.1120,1.1130,1.1140,1.1150,1.1160,1.1170,1.1180,1.1190, &
      &          1.1200,1.1210,1.1220,1.1230,1.1240,1.1250,1.1260,1.1270, &
      &          1.1280,1.1290,1.1300,1.1310,1.1320,1.1330,1.1340,1.1350, &
      &          1.1360,1.1370,1.1380,1.1390,1.1400,1.1410,1.1420,1.1430, &
      &          1.1440,1.1450,1.1460,1.1470,1.1480,1.1490,1.1500,1.1510, &
      &          1.1520,1.1530,1.1540,1.1550,1.1560,1.1570,1.1580,1.1590, &
      &          1.1600,1.1610,1.1620,1.1630,1.1640,1.1650,1.1660,1.1670, &
      &          1.1680,1.1690,1.1700,1.1710,1.1720,1.1730,1.1740,1.1750, &
      &          1.1760,1.1770,1.1780,1.1790,1.1800,1.1810,1.1820,1.1830, &
      &          1.1840,1.1850,1.1860,1.1870,1.1880,1.1890,1.1900,1.1910, &
      &          1.1920,1.1930,1.1940,1.1950,1.1960,1.1970,1.1980,1.1990, &
      &          1.2000,1.2010,1.2020,1.2030,1.2040,1.2050,1.2060,1.2070, &
      &          1.2080,1.2090,1.2100,1.2110,1.2120,1.2130,1.2140,1.2150, &
      &          1.2160,1.2170,1.2180,1.2190,1.2200,1.2210,1.2220,1.2230, &
      &          1.2240,1.2250,1.2260,1.2270,1.2280,1.2290,1.2300,1.2310, &
      &          1.2320,1.2330,1.2340,1.2350,1.2360,1.2370,1.2380,1.2390, &
      &          1.2400,1.2410,1.2420,1.2430,1.2440,1.2450,1.2460,1.2470, &
      &          1.2480,1.2490,1.2500,1.2510,1.2520,1.2530,1.2540,1.2550, &
      &          1.2560,1.2570,1.2580,1.2590,1.2600,1.2610,1.2620,1.2630, &
      &          1.2640,1.2650,1.2660,1.2670,1.2680,1.2690,1.2700,1.2710, &
      &          1.2720,1.2730,1.2740,1.2750,1.2760,1.2770,1.2780,1.2790, &
      &          1.2800,1.2810,1.2820,1.2830,1.2840,1.2850,1.2860,1.2870, &
      &          1.2880,1.2890,1.2900,1.2910,1.2920,1.2930,1.2940,1.2950, &
      &          1.2960,1.2970,1.2980,1.2990,1.3000,1.3010,1.3020,1.3030, &
      &          1.3040,1.3050,1.3060,1.3070,1.3080,1.3090,1.3100,1.3110, &
      &          1.3120,1.3130,1.3140,1.3150,1.3160,1.3170,1.3180,1.3190, &
      &          1.3200,1.3210,1.3220,1.3230,1.3240,1.3250,1.3260,1.3270, &
      &          1.3280,1.3290,1.3300,1.3310,1.3320,1.3330,1.3340,1.3350, &
      &          1.3360,1.3370,1.3380,1.3390,1.3400,1.3410,1.3420,1.3430, &
      &          1.3440,1.3450,1.3460,1.3470,1.3480,1.3490,1.3500,1.3510, &
      &          1.3520,1.3530,1.3540,1.3550,1.3560,1.3570,1.3580,1.3590, &
      &          1.3600,1.3610,1.3620,1.3630,1.3640,1.3650,1.3660,1.3670, &
      &          1.3680,1.3690,1.3700,1.3710,1.3720,1.3730,1.3740,1.3750, &
      &          1.3760,1.3770,1.3780,1.3790,1.3800,1.3810,1.3820,1.3830, &
      &          1.3840,1.3850,1.3860,1.3870,1.3880,1.3890,1.3900,1.3910, &
      &          1.3920,1.3930,1.3940,1.3950,1.3960,1.3970,1.3980,1.3990, &
      &          1.4000,1.4010,1.4020,1.4030,1.4040,1.4050,1.4060,1.4070, &
      &          1.4080,1.4090,1.4100,1.4110,1.4120,1.4130,1.4140,1.4150, &
      &          1.4160,1.4170,1.4180,1.4190,1.4200,1.4210,1.4220,1.4230, &
      &          1.4240,1.4250,1.4260,1.4270,1.4280,1.4290,1.4300,1.4310, &
      &          1.4320,1.4330,1.4340,1.4350,1.4360,1.4370,1.4380,1.4390, &
      &          1.4400,1.4410,1.4420,1.4430,1.4440,1.4450,1.4460,1.4470, &
      &          1.4480,1.4490,1.4500,1.4510,1.4520,1.4530,1.4540,1.4550, &
      &          1.4560,1.4570,1.4580,1.4590,1.4600,1.4610,1.4620,1.4630, &
      &          1.4640,1.4650,1.4660,1.4670,1.4680,1.4690,1.4700,1.4710, &
      &          1.4720,1.4730,1.4740,1.4750,1.4760,1.4770,1.4780,1.4790, &
      &          1.4800,1.4810,1.4820,1.4830,1.4840,1.4850,1.4860,1.4870, &
      &          1.4880,1.4890,1.4900,1.4910,1.4920,1.4930,1.4940,1.4950, &
      &          1.4960,1.4970,1.4980,1.4990,1.5000,1.5010,1.5020,1.5030, &
      &          1.5040,1.5050,1.5060,1.5070,1.5080,1.5090,1.5100,1.5110, &
      &          1.5120,1.5130,1.5140,1.5150,1.5160,1.5170,1.5180,1.5190, &
      &          1.5200,1.5210,1.5220,1.5230,1.5240,1.5250,1.5260,1.5270, &
      &          1.5280,1.5290,1.5300,1.5310,1.5320,1.5330,1.5340,1.5350, &
      &          1.5360,1.5370,1.5380,1.5390,1.5400,1.5410,1.5420,1.5430, &
      &          1.5440,1.5450,1.5460,1.5470,1.5480,1.5490,1.5500,1.5510, &
      &          1.5520,1.5530,1.5540,1.5550,1.5560,1.5570,1.5580,1.5590, &
      &          1.5600,1.5610,1.5620,1.5630,1.5640,1.5650,1.5660,1.5670, &
      &          1.5680,1.5690,1.5700,1.5710,1.5720,1.5730,1.5740,1.5750, &
      &          1.5760,1.5770,1.5780,1.5790,1.5800,1.5810,1.5820,1.5830, &
      &          1.5840,1.5850,1.5860,1.5870,1.5880,1.5890,1.5900,1.5910, &
      &          1.5920,1.5930,1.5940,1.5950,1.5960,1.5970,1.5980,1.5990, &
      &          1.6000,1.6010,1.6020,1.6030,1.6040,1.6050,1.6060,1.6070, &
      &          1.6080,1.6090,1.6100,1.6110,1.6120,1.6130,1.6140,1.6150, &
      &          1.6160,1.6170,1.6180,1.6190,1.6200,1.6210,1.6220,1.6230, &
      &          1.6240,1.6250,1.6260,1.6270,1.6280,1.6290,1.6300,1.6310, &
      &          1.6320,1.6330,1.6340,1.6350,1.6360,1.6370,1.6380,1.6390, &
      &          1.6400,1.6410,1.6420,1.6430,1.6440,1.6450,1.6460,1.6470, &
      &          1.6480,1.6490,1.6500,1.6510,1.6520,1.6530,1.6540,1.6550, &
      &          1.6560,1.6570,1.6580,1.6590,1.6600,1.6610,1.6620,1.6630, &
      &          1.6640,1.6650,1.6660,1.6670,1.6680,1.6690,1.6700,1.6710, &
      &          1.6720,1.6730,1.6740,1.6750,1.6760,1.6770,1.6780,1.6790, &
      &          1.6800,1.6810,1.6820,1.6830,1.6840,1.6850,1.6860,1.6870, &
      &          1.6880,1.6890,1.6900,1.6910,1.6920,1.6930,1.6940,1.6950, &
      &          1.6960,1.6970,1.6980,1.6990,1.7000,1.7010,1.7020,1.7030, &
      &          1.7040,1.7050,1.7060,1.7070,1.7080,1.7090,1.7100,1.7110, &
      &          1.7120,1.7130,1.7140,1.7150,1.7160,1.7170,1.7180,1.7190, &
      &          1.7200,1.7210,1.7220,1.7230,1.7240,1.7250,1.7260,1.7270, &
      &          1.7280,1.7290,1.7300,1.7310,1.7320,1.7330,1.7340,1.7350, &
      &          1.7360,1.7370,1.7380,1.7390,1.7400,1.7410,1.7420,1.7430, &
      &          1.7440,1.7450,1.7460,1.7470,1.7480,1.7490,1.7500,1.7510, &
      &          1.7520,1.7530,1.7540,1.7550,1.7560,1.7570,1.7580,1.7590, &
      &          1.7600,1.7610,1.7620,1.7630,1.7640,1.7650,1.7660,1.7670, &
      &          1.7680,1.7690,1.7700,1.7710,1.7720,1.7730,1.7740,1.7750, &
      &          1.7760,1.7770,1.7780,1.7790,1.7800,1.7810,1.7820,1.7830, &
      &          1.7840,1.7850,1.7860,1.7870,1.7880,1.7890,1.7900,1.7910, &
      &          1.7920,1.7930,1.7940,1.7950,1.7960,1.7970,1.7980,1.7990, &
      &          1.8000,1.8010,1.8020,1.8030,1.8040,1.8050,1.8060,1.8070, &
      &          1.8080,1.8090,1.8100,1.8110,1.8120,1.8130,1.8140,1.8150, &
      &          1.8160,1.8170,1.8180,1.8190,1.8200,1.8210,1.8220,1.8230, &
      &          1.8240,1.8250,1.8260,1.8270,1.8280,1.8290,1.8300,1.8310, &
      &          1.8320,1.8330,1.8340,1.8350,1.8360,1.8370,1.8380,1.8390, &
      &          1.8400,1.8410,1.8420,1.8430,1.8440,1.8450,1.8460,1.8470, &
      &          1.8480,1.8490,1.8500,1.8510,1.8520,1.8530,1.8540,1.8550, &
      &          1.8560,1.8570,1.8580,1.8590,1.8600,1.8610,1.8620,1.8630, &
      &          1.8640,1.8650,1.8660,1.8670,1.8680,1.8690,1.8700,1.8710, &
      &          1.8720,1.8730,1.8740,1.8750,1.8760,1.8770,1.8780,1.8790, &
      &          1.8800,1.8810,1.8820,1.8830,1.8840,1.8850,1.8860,1.8870, &
      &          1.8880,1.8890,1.8900,1.8910,1.8920,1.8930,1.8940,1.8950, &
      &          1.8960,1.8970,1.8980,1.8990,1.9000,1.9010,1.9020,1.9030, &
      &          1.9040,1.9050,1.9060,1.9070,1.9080,1.9090,1.9100,1.9110, &
      &          1.9120,1.9130,1.9140,1.9150,1.9160,1.9170,1.9180,1.9190, &
      &          1.9200,1.9210,1.9220,1.9230,1.9240,1.9250,1.9260,1.9270, &
      &          1.9280,1.9290,1.9300,1.9310,1.9320,1.9330,1.9340,1.9350, &
      &          1.9360,1.9370,1.9380,1.9390,1.9400,1.9410,1.9420,1.9430, &
      &          1.9440,1.9450,1.9460,1.9470,1.9480,1.9490,1.9500,1.9510, &
      &          1.9520,1.9530,1.9540,1.9550,1.9560,1.9570,1.9580,1.9590, &
      &          1.9600,1.9610,1.9620,1.9630,1.9640,1.9650,1.9660,1.9670, &
      &          1.9680,1.9690,1.9700,1.9710,1.9720,1.9730,1.9740,1.9750, &
      &          1.9760,1.9770,1.9780,1.9790,1.9800,1.9810,1.9820,1.9830, &
      &          1.9840,1.9850,1.9860,1.9870,1.9880,1.9890,1.9900,1.9910, &
      &          1.9920,1.9930,1.9940,1.9950,1.9960,1.9970,1.9980,1.9990, &
      &          2.0000,2.0010,2.0020,2.0030,2.0040,2.0050,2.0060,2.0070, &
      &          2.0080,2.0090,2.0100,2.0110,2.0120,2.0130,2.0140,2.0150, &
      &          2.0160,2.0170,2.0180,2.0190,2.0200,2.0210,2.0220,2.0230, &
      &          2.0240,2.0250,2.0260,2.0270,2.0280,2.0290,2.0300,2.0310, &
      &          2.0320,2.0330,2.0340,2.0350,2.0360,2.0370,2.0380,2.0390, &
      &          2.0400,2.0410,2.0420,2.0430,2.0440,2.0450,2.0460,2.0470, &
      &          2.0480,2.0490,2.0500,2.0510,2.0520,2.0530,2.0540,2.0550, &
      &          2.0560,2.0570,2.0580,2.0590,2.0600,2.0610,2.0620,2.0630, &
      &          2.0640,2.0650,2.0660,2.0670,2.0680,2.0690,2.0700,2.0710, &
      &          2.0720,2.0730,2.0740,2.0750,2.0760,2.0770,2.0780,2.0790, &
      &          2.0800,2.0810,2.0820,2.0830,2.0840,2.0850,2.0860,2.0870, &
      &          2.0880,2.0890,2.0900,2.0910,2.0920,2.0930,2.0940,2.0950, &
      &          2.0960,2.0970,2.0980,2.0990,2.1000,2.1010,2.1020,2.1030, &
      &          2.1040,2.1050,2.1060,2.1070,2.1080,2.1090,2.1100,2.1110, &
      &          2.1120,2.1130,2.1140,2.1150,2.1160,2.1170,2.1180,2.1190, &
      &          2.1200,2.1210,2.1220,2.1230,2.1240,2.1250,2.1260,2.1270, &
      &          2.1280,2.1290,2.1300,2.1310,2.1320,2.1330,2.1340,2.1350, &
      &          2.1360,2.1370,2.1380,2.1390,2.1400,2.1410,2.1420,2.1430, &
      &          2.1440,2.1450,2.1460,2.1470,2.1480,2.1490,2.1500,2.1510, &
      &          2.1520,2.1530,2.1540,2.1550,2.1560,2.1570,2.1580,2.1590, &
      &          2.1600,2.1610,2.1620,2.1630,2.1640,2.1650,2.1660,2.1670, &
      &          2.1680,2.1690,2.1700,2.1710,2.1720,2.1730,2.1740,2.1750, &
      &          2.1760,2.1770,2.1780,2.1790,2.1800,2.1810,2.1820,2.1830, &
      &          2.1840,2.1850,2.1860,2.1870,2.1880,2.1890,2.1900,2.1910, &
      &          2.1920,2.1930,2.1940,2.1950,2.1960,2.1970,2.1980,2.1990, &
      &          2.2000,2.2010,2.2020,2.2030,2.2040,2.2050,2.2060,2.2070, &
      &          2.2080,2.2090,2.2100,2.2110,2.2120,2.2130,2.2140,2.2150, &
      &          2.2160,2.2170,2.2180,2.2190,2.2200,2.2210,2.2220,2.2230, &
      &          2.2240,2.2250,2.2260,2.2270,2.2280,2.2290,2.2300,2.2310, &
      &          2.2320,2.2330,2.2340,2.2350,2.2360,2.2370,2.2380,2.2390, &
      &          2.2400,2.2410,2.2420,2.2430,2.2440,2.2450,2.2460,2.2470, &
      &          2.2480,2.2490,2.2500,2.2510,2.2520,2.2530,2.2540,2.2550, &
      &          2.2560,2.2570,2.2580,2.2590,2.2600,2.2610,2.2620,2.2630, &
      &          2.2640,2.2650,2.2660,2.2670,2.2680,2.2690,2.2700,2.2710, &
      &          2.2720,2.2730,2.2740,2.2750,2.2760,2.2770,2.2780,2.2790, &
      &          2.2800,2.2810,2.2820,2.2830,2.2840,2.2850,2.2860,2.2870, &
      &          2.2880,2.2890,2.2900,2.2910,2.2920,2.2930,2.2940,2.2950, &
      &          2.2960,2.2970,2.2980,2.2990,2.3000,2.3010,2.3020,2.3030, &
      &          2.3040,2.3050,2.3060,2.3070,2.3080,2.3090,2.3100,2.3110, &
      &          2.3120,2.3130,2.3140,2.3150,2.3160,2.3170,2.3180,2.3190, &
      &          2.3200,2.3210,2.3220,2.3230,2.3240,2.3250,2.3260,2.3270, &
      &          2.3280,2.3290,2.3300,2.3310,2.3320,2.3330,2.3340,2.3350, &
      &          2.3360,2.3370,2.3380,2.3390,2.3400,2.3410,2.3420,2.3430, &
      &          2.3440,2.3450,2.3460,2.3470,2.3480,2.3490,2.3500,2.3510, &
      &          2.3520,2.3530,2.3540,2.3550,2.3560,2.3570,2.3580,2.3590, &
      &          2.3600,2.3610,2.3620,2.3630,2.3640,2.3650,2.3660,2.3670, &
      &          2.3680,2.3690,2.3700,2.3710,2.3720,2.3730,2.3740,2.3750, &
      &          2.3760,2.3770,2.3780,2.3790,2.3800,2.3810,2.3820,2.3830, &
      &          2.3840,2.3850,2.3860,2.3870,2.3880,2.3890,2.3900,2.3910, &
      &          2.3920,2.3930,2.3940,2.3950,2.3960,2.3970,2.3980,2.3990, &
      &          2.4000,2.4010,2.4020,2.4030,2.4040,2.4050,2.4060,2.4070, &
      &          2.4080,2.4090,2.4100,2.4110,2.4120,2.4130,2.4140,2.4150, &
      &          2.4160,2.4170,2.4180,2.4190,2.4200,2.4210,2.4220,2.4230, &
      &          2.4240,2.4250,2.4260,2.4270,2.4280,2.4290,2.4300,2.4310, &
      &          2.4320,2.4330,2.4340,2.4350,2.4360,2.4370,2.4380,2.4390, &
      &          2.4400,2.4410,2.4420,2.4430,2.4440,2.4450,2.4460,2.4470, &
      &          2.4480,2.4490,2.4500,2.4510,2.4520,2.4530,2.4540,2.4550, &
      &          2.4560,2.4570,2.4580,2.4590,2.4600,2.4610,2.4620,2.4630, &
      &          2.4640,2.4650,2.4660,2.4670,2.4680,2.4690,2.4700,2.4710, &
      &          2.4720,2.4730,2.4740,2.4750,2.4760,2.4770,2.4780,2.4790, &
      &          2.4800,2.4810,2.4820,2.4830,2.4840,2.4850,2.4860,2.4870, &
      &          2.4880,2.4890,2.4900,2.4910,2.4920,2.4930,2.4940,2.4950, &
      &          2.4960,2.4970,2.4980,2.4990,2.5000,2.5002,2.5014,2.5026, &
      &          2.5038,2.5051,2.5063,2.5075,2.5087,2.5099,2.5111,2.5123, &
      &          2.5136,2.5148,2.5160,2.5172,2.5184,2.5197,2.5209,2.5221, &
      &          2.5233,2.5246,2.5258,2.5270,2.5283,2.5295,2.5307,2.5320, &
      &          2.5332,2.5344,2.5357,2.5369,2.5382,2.5394,2.5406,2.5419, &
      &          2.5431,2.5444,2.5456,2.5469,2.5481,2.5494,2.5507,2.5519, &
      &          2.5532,2.5544,2.5557,2.5569,2.5582,2.5595,2.5607,2.5620, &
      &          2.5633,2.5645,2.5658,2.5671,2.5683,2.5696,2.5709,2.5722, &
      &          2.5734,2.5747,2.5760,2.5773,2.5785,2.5798,2.5811,2.5824, &
      &          2.5837,2.5850,2.5863,2.5876,2.5888,2.5901,2.5914,2.5927, &
      &          2.5940,2.5953,2.5966,2.5979,2.5992,2.6005,2.6018,2.6031, &
      &          2.6044,2.6058,2.6071,2.6084,2.6097,2.6110,2.6123,2.6136, &
      &          2.6150,2.6163,2.6176,2.6189,2.6203,2.6216,2.6229,2.6242, &
      &          2.6256,2.6269,2.6282,2.6296,2.6309,2.6322,2.6336,2.6349, &
      &          2.6362,2.6376,2.6389,2.6403,2.6416,2.6429,2.6443,2.6456, &
      &          2.6470,2.6484,2.6497,2.6511,2.6524,2.6538,2.6551,2.6565, &
      &          2.6578,2.6592,2.6606,2.6619,2.6633,2.6647,2.6660,2.6674, &
      &          2.6688,2.6702,2.6715,2.6729,2.6743,2.6757,2.6771,2.6784, &
      &          2.6798,2.6812,2.6826,2.6840,2.6854,2.6868,2.6882,2.6896, &
      &          2.6910,2.6923,2.6938,2.6951,2.6965,2.6980,2.6994,2.7008, &
      &          2.7022,2.7036,2.7050,2.7064,2.7078,2.7092,2.7106,2.7121, &
      &          2.7135,2.7149,2.7163,2.7178,2.7192,2.7206,2.7220,2.7235, &
      &          2.7249,2.7263,2.7278,2.7292,2.7306,2.7321,2.7335,2.7350, &
      &          2.7364,2.7378,2.7393,2.7407,2.7422,2.7436,2.7451,2.7465, &
      &          2.7480,2.7494,2.7509,2.7524,2.7538,2.7553,2.7568,2.7582, &
      &          2.7597,2.7612,2.7626,2.7641,2.7656,2.7671,2.7685,2.7700, &
      &          2.7715,2.7730,2.7745,2.7759,2.7774,2.7789,2.7804,2.7819, &
      &          2.7834,2.7849,2.7864,2.7879,2.7894,2.7909,2.7924,2.7939, &
      &          2.7954,2.7969,2.7984,2.7999,2.8014,2.8030,2.8045,2.8060, &
      &          2.8075,2.8090,2.8106,2.8121,2.8136,2.8151,2.8167,2.8182, &
      &          2.8197,2.8213,2.8228,2.8243,2.8259,2.8274,2.8289,2.8305, &
      &          2.8320,2.8336,2.8351,2.8367,2.8382,2.8398,2.8413,2.8429, &
      &          2.8445,2.8460,2.8476,2.8492,2.8507,2.8523,2.8539,2.8554, &
      &          2.8570,2.8586,2.8602,2.8617,2.8633,2.8649,2.8665,2.8681, &
      &          2.8697,2.8712,2.8728,2.8744,2.8760,2.8776,2.8792,2.8808, &
      &          2.8824,2.8840,2.8856,2.8872,2.8888,2.8905,2.8921,2.8937, &
      &          2.8953,2.8969,2.8985,2.9002,2.9018,2.9034,2.9050,2.9067, &
      &          2.9083,2.9099,2.9116,2.9132,2.9148,2.9165,2.9181,2.9197, &
      &          2.9214,2.9230,2.9247,2.9263,2.9280,2.9296,2.9313,2.9330, &
      &          2.9346,2.9363,2.9379,2.9396,2.9413,2.9429,2.9446,2.9463, &
      &          2.9480,2.9496,2.9513,2.9530,2.9547,2.9564,2.9581,2.9597, &
      &          2.9614,2.9631,2.9648,2.9665,2.9682,2.9699,2.9716,2.9733, &
      &          2.9750,2.9767,2.9784,2.9802,2.9819,2.9836,2.9853,2.9870, &
      &          2.9887,2.9905,2.9922,2.9939,2.9956,2.9974,2.9991,3.0008, &
      &          3.0026,3.0043,3.0061,3.0078,3.0096,3.0113,3.0130,3.0148, &
      &          3.0166,3.0183,3.0201,3.0218,3.0236,3.0254,3.0271,3.0289, &
      &          3.0307,3.0324,3.0342,3.0360,3.0378,3.0396,3.0413,3.0431, &
      &          3.0449,3.0467,3.0485,3.0503,3.0521,3.0539,3.0557,3.0575, &
      &          3.0593,3.0611,3.0629,3.0647,3.0665,3.0683,3.0701,3.0720, &
      &          3.0738,3.0756,3.0774,3.0793,3.0811,3.0829,3.0848,3.0866, &
      &          3.0884,3.0903,3.0921,3.0940,3.0958,3.0976,3.0995,3.1014, &
      &          3.1032,3.1051,3.1069,3.1088,3.1107,3.1125,3.1144,3.1163, &
      &          3.1181,3.1200,3.1219,3.1238,3.1257,3.1275,3.1294,3.1313, &
      &          3.1332,3.1351,3.1370,3.1389,3.1408,3.1427,3.1446,3.1465, &
      &          3.1484,3.1503,3.1523,3.1542,3.1561,3.1580,3.1599,3.1619, &
      &          3.1638,3.1657,3.1677,3.1696,3.1715,3.1735,3.1754,3.1774, &
      &          3.1793,3.1813,3.1832,3.1852,3.1871,3.1891,3.1911,3.1930, &
      &          3.1950,3.1970,3.1989,3.2009,3.2029,3.2049,3.2068,3.2088, &
      &          3.2108,3.2128,3.2148,3.2168,3.2188,3.2208,3.2228,3.2248, &
      &          3.2268,3.2288,3.2308,3.2328,3.2348,3.2369,3.2389,3.2409, &
      &          3.2429,3.2450,3.2470,3.2490,3.2511,3.2531,3.2552,3.2572, &
      &          3.2593,3.2613,3.2634,3.2654,3.2675,3.2695,3.2716,3.2736, &
      &          3.2757,3.2778,3.2799,3.2819,3.2840,3.2861,3.2882,3.2903, &
      &          3.2924,3.2944,3.2965,3.2986,3.3007,3.3028,3.3049,3.3071, &
      &          3.3092,3.3113,3.3134,3.3155,3.3176,3.3198,3.3219,3.3240, &
      &          3.3262,3.3283,3.3304,3.3326,3.3347,3.3369,3.3390,3.3411, &
      &          3.3433,3.3455,3.3476,3.3498,3.3520,3.3541,3.3563,3.3585, &
      &          3.3606,3.3628,3.3650,3.3672,3.3694,3.3716,3.3738,3.3760, &
      &          3.3782,3.3804,3.3826,3.3848,3.3870,3.3892,3.3914,3.3936, &
      &          3.3958,3.3981,3.4003,3.4025,3.4048,3.4070,3.4093,3.4115, &
      &          3.4137,3.4160,3.4182,3.4205,3.4228,3.4250,3.4273,3.4295, &
      &          3.4318,3.4341,3.4364,3.4386,3.4409,3.4432,3.4455,3.4478, &
      &          3.4501,3.4524,3.4547,3.4570,3.4593,3.4616,3.4639,3.4662, &
      &          3.4685,3.4709,3.4732,3.4755,3.4778,3.4802,3.4825,3.4849, &
      &          3.4872,3.4895,3.4919,3.4943,3.4966,3.4990,3.5013,3.5037, &
      &          3.5061,3.5084,3.5108,3.5132,3.5156,3.5180,3.5203,3.5227, &
      &          3.5251,3.5275,3.5299,3.5323,3.5347,3.5372,3.5396,3.5420, &
      &          3.5444,3.5468,3.5493,3.5517,3.5541,3.5566,3.5590,3.5614, &
      &          3.5639,3.5663,3.5688,3.5713,3.5737,3.5762,3.5787,3.5811, &
      &          3.5836,3.5861,3.5886,3.5910,3.5935,3.5960,3.5985,3.6010, &
      &          3.6035,3.6060,3.6085,3.6111,3.6136,3.6161,3.6186,3.6211, &
      &          3.6237,3.6262,3.6287,3.6313,3.6338,3.6364,3.6389,3.6415, &
      &          3.6440,3.6466,3.6492,3.6517,3.6543,3.6569,3.6595,3.6620, &
      &          3.6646,3.6672,3.6698,3.6724,3.6750,3.6776,3.6803,3.6829, &
      &          3.6855,3.6881,3.6907,3.6934,3.6960,3.6986,3.7013,3.7039, &
      &          3.7066,3.7092,3.7119,3.7145,3.7172,3.7199,3.7225,3.7252, &
      &          3.7279,3.7306,3.7332,3.7359,3.7386,3.7413,3.7440,3.7467, &
      &          3.7494,3.7521,3.7549,3.7576,3.7603,3.7630,3.7658,3.7685, &
      &          3.7713,3.7740,3.7767,3.7795,3.7822,3.7850,3.7878,3.7906, &
      &          3.7933,3.7961,3.7989,3.8017,3.8045,3.8072,3.8100,3.8128, &
      &          3.8157,3.8185,3.8213,3.8241,3.8269,3.8297,3.8326,3.8354, &
      &          3.8382,3.8411,3.8439,3.8468,3.8496,3.8525,3.8554,3.8582, &
      &          3.8611,3.8640,3.8669,3.8697,3.8726,3.8755,3.8784,3.8813, &
      &          3.8842,3.8872,3.8901,3.8930,3.8959,3.8988,3.9018,3.9047, &
      &          3.9077,3.9106,3.9136,3.9165,3.9195,3.9224,3.9254,3.9284, &
      &          3.9314,3.9343,3.9373,3.9403,3.9433,3.9463,3.9493,3.9523, &
      &          3.9554,3.9584,3.9614,3.9644,3.9675,3.9705,3.9735,3.9766, &
      &          3.9796,3.9827,3.9857,3.9888,3.9919,3.9950,3.9981,4.0011, &
      &          4.0042,4.0073,4.0104,4.0135,4.0166,4.0197,4.0229,4.0260, &
      &          4.0291,4.0323,4.0354,4.0385,4.0417,4.0448,4.0480,4.0511, &
      &          4.0543,4.0575,4.0607,4.0639,4.0670,4.0702,4.0734,4.0766, &
      &          4.0798,4.0830,4.0863,4.0895,4.0927,4.0959,4.0992,4.1024, &
      &          4.1057,4.1089,4.1122,4.1155,4.1187,4.1220,4.1253,4.1286, &
      &          4.1319,4.1351,4.1384,4.1418,4.1451,4.1484,4.1517,4.1550, &
      &          4.1584,4.1617,4.1650,4.1684,4.1717,4.1751,4.1785,4.1818, &
      &          4.1852,4.1886,4.1920,4.1954,4.1988,4.2022,4.2056,4.2090, &
      &          4.2124,4.2158,4.2193,4.2227,4.2261,4.2296,4.2330,4.2365, &
      &          4.2400,4.2434,4.2469,4.2504,4.2539,4.2574,4.2609,4.2644, &
      &          4.2679,4.2714,4.2749,4.2784,4.2820,4.2855,4.2890,4.2926, &
      &          4.2962,4.2997,4.3033,4.3069,4.3105,4.3140,4.3176,4.3212, &
      &          4.3248,4.3284,4.3320,4.3357,4.3393,4.3429,4.3466,4.3502, &
      &          4.3539,4.3575,4.3612,4.3649,4.3685,4.3722,4.3759,4.3796, &
      &          4.3833,4.3870,4.3907,4.3945,4.3982,4.4019,4.4057,4.4094, &
      &          4.4132,4.4169,4.4207,4.4245,4.4282,4.4320,4.4358,4.4396, &
      &          4.4434,4.4472,4.4510,4.4549,4.4587,4.4625,4.4664,4.4702, &
      &          4.4741,4.4779,4.4818,4.4857,4.4896,4.4935,4.4974,4.5013, &
      &          4.5052,4.5091,4.5130,4.5170,4.5209,4.5248,4.5288,4.5328, &
      &          4.5367,4.5407,4.5447,4.5487,4.5526,4.5567,4.5607,4.5647, &
      &          4.5687,4.5727,4.5768,4.5808,4.5849,4.5889,4.5930,4.5971, &
      &          4.6011,4.6052,4.6093,4.6134,4.6175,4.6216,4.6258,4.6299, &
      &          4.6340,4.6382,4.6423,4.6465,4.6506,4.6548,4.6590,4.6632, &
      &          4.6674,4.6716,4.6758,4.6800,4.6842,4.6885,4.6927,4.6970, &
      &          4.7012,4.7055,4.7098,4.7141,4.7184,4.7226,4.7270,4.7313, &
      &          4.7356,4.7399,4.7443,4.7486,4.7530,4.7573,4.7617,4.7660, &
      &          4.7704,4.7748,4.7792,4.7836,4.7881,4.7925,4.7969,4.8014, &
      &          4.8058,4.8103,4.8147,4.8192,4.8237,4.8282,4.8327,4.8372, &
      &          4.8417,4.8462,4.8508,4.8553,4.8599,4.8644,4.8690,4.8736, &
      &          4.8781,4.8827,4.8873,4.8919,4.8966,4.9012,4.9058,4.9105, &
      &          4.9151,4.9198,4.9245,4.9291,4.9338,4.9385,4.9432,4.9480, &
      &          4.9527,4.9574,4.9622,4.9669,4.9717,4.9765,4.9812,4.9860, &
      &          4.9908,4.9956,5.0004,5.0053,5.0101,5.0150,5.0198,5.0247, &
      &          5.0296,5.0344,5.0393,5.0442,5.0491,5.0541,5.0590,5.0639, &
      &          5.0689,5.0738,5.0788,5.0838,5.0888,5.0938,5.0988,5.1038, &
      &          5.1088,5.1139,5.1189,5.1240,5.1291,5.1341,5.1392,5.1443, &
      &          5.1494,5.1545,5.1597,5.1648,5.1700,5.1751,5.1803,5.1855, &
      &          5.1907,5.1959,5.2011,5.2063,5.2115,5.2168,5.2220,5.2273, &
      &          5.2326,5.2378,5.2431,5.2485,5.2538,5.2591,5.2644,5.2698, &
      &          5.2751,5.2805,5.2859,5.2913,5.2967,5.3021,5.3075,5.3130, &
      &          5.3184,5.3239,5.3294,5.3348,5.3403,5.3458,5.3514,5.3569, &
      &          5.3624,5.3680,5.3735,5.3791,5.3847,5.3903,5.3959,5.4015, &
      &          5.4072,5.4128,5.4185,5.4241,5.4298,5.4355,5.4412,5.4469, &
      &          5.4527,5.4584,5.4641,5.4699,5.4757,5.4815,5.4873,5.4931, &
      &          5.4989,5.5047,5.5106,5.5164,5.5223,5.5282,5.5341,5.5400, &
      &          5.5460,5.5519,5.5578,5.5638,5.5698,5.5758,5.5818,5.5878, &
      &          5.5938,5.5999,5.6059,5.6120,5.6181,5.6242,5.6303,5.6364, &
      &          5.6425,5.6487,5.6548,5.6610,5.6672,5.6734,5.6796,5.6858, &
      &          5.6921,5.6983,5.7046,5.7109,5.7172,5.7235,5.7298,5.7361, &
      &          5.7425,5.7489,5.7552,5.7616,5.7680,5.7745,5.7809,5.7874, &
      &          5.7938,5.8003,5.8068,5.8133,5.8198,5.8264,5.8329,5.8395, &
      &          5.8461,5.8527,5.8593,5.8659,5.8726,5.8792,5.8859,5.8926, &
      &          5.8993,5.9060,5.9127,5.9195,5.9262,5.9330,5.9398,5.9466, &
      &          5.9535,5.9603,5.9672,5.9740,5.9809,5.9878,5.9948,6.0017, &
      &          6.0087,6.0156,6.0226,6.0296,6.0366,6.0437,6.0507,6.0578, &
      &          6.0649,6.0720,6.0791,6.0862,6.0934,6.1006,6.1077,6.1149, &
      &          6.1222,6.1294,6.1367,6.1439,6.1512,6.1585,6.1658,6.1732, &
      &          6.1805,6.1879,6.1953,6.2027,6.2101,6.2176,6.2251,6.2325, &
      &          6.2400,6.2476,6.2551,6.2626,6.2702,6.2778,6.2854,6.2930, &
      &          6.3007,6.3083,6.3160,6.3237,6.3315,6.3392,6.3470,6.3547, &
      &          6.3625,6.3704,6.3782,6.3860,6.3939,6.4018,6.4097,6.4177, &
      &          6.4256,6.4336,6.4416,6.4496,6.4576,6.4657,6.4737,6.4818, &
      &          6.4900,6.4981,6.5062,6.5144,6.5226,6.5308,6.5390,6.5473, &
      &          6.5556,6.5639,6.5722,6.5805,6.5889,6.5973,6.6057,6.6141, &
      &          6.6226,6.6310,6.6395,6.6480,6.6566,6.6651,6.6737,6.6823, &
      &          6.6909,6.6996,6.7082,6.7169,6.7256,6.7344,6.7431,6.7519, &
      &          6.7607,6.7695,6.7784,6.7873,6.7962,6.8051,6.8140,6.8230, &
      &          6.8320,6.8410,6.8500,6.8591,6.8682,6.8773,6.8864,6.8956, &
      &          6.9047,6.9140,6.9232,6.9324,6.9417,6.9510,6.9604,6.9697, &
      &          6.9791,6.9885,6.9979,7.0074,7.0169,7.0264,7.0359,7.0455, &
      &          7.0551,7.0647,7.0743,7.0840,7.0937,7.1034,7.1131,7.1229, &
      &          7.1327,7.1425,7.1524,7.1623,7.1722,7.1821,7.1921,7.2020, &
      &          7.2120,7.2221,7.2322,7.2423,7.2524,7.2626,7.2727,7.2830, &
      &          7.2932,7.3035,7.3138,7.3241,7.3345,7.3449,7.3553,7.3657, &
      &          7.3762,7.3867,7.3972,7.4078,7.4184,7.4290,7.4397,7.4504, &
      &          7.4611,7.4718,7.4826,7.4935,7.5043,7.5152,7.5261,7.5370, &
      &          7.5480,7.5590,7.5700,7.5811,7.5922,7.6033,7.6145,7.6257, &
      &          7.6369,7.6482,7.6595,7.6708,7.6822,7.6936,7.7050,7.7165, &
      &          7.7280,7.7395,7.7511,7.7627,7.7743,7.7860,7.7977,7.8094, &
      &          7.8212,7.8330,7.8449,7.8568,7.8687,7.8807,7.8926,7.9047, &
      &          7.9167,7.9288,7.9410,7.9532,7.9654,7.9776,7.9899,8.0023, &
      &          8.0146,8.0270,8.0395,8.0520,8.0645,8.0770,8.0897,8.1023, &
      &          8.1150,8.1277,8.1404,8.1532,8.1661,8.1790,8.1919,8.2049, &
      &          8.2179,8.2309,8.2440,8.2571,8.2703,8.2835,8.2967,8.3100, &
      &          8.3234,8.3368,8.3502,8.3637,8.3772,8.3907,8.4043,8.4180, &
      &          8.4316,8.4454,8.4592,8.4730,8.4869,8.5008,8.5147,8.5287, &
      &          8.5428,8.5569,8.5710,8.5852,8.5994,8.6137,8.6281,8.6425, &
      &          8.6569,8.6714,8.6859,8.7005,8.7151,8.7297,8.7445,8.7592, &
      &          8.7741,8.7889,8.8039,8.8188,8.8338,8.8489,8.8641,8.8792, &
      &          8.8945,8.9097,8.9251,8.9405,8.9559,8.9714,8.9870,9.0025, &
      &          9.0182,9.0339,9.0497,9.0655,9.0814,9.0973,9.1133,9.1293, &
      &          9.1454,9.1616,9.1778,9.1941,9.2104,9.2268,9.2432,9.2598, &
      &          9.2763,9.2930,9.3096,9.3264,9.3432,9.3600,9.3770,9.3940, &
      &          9.4110,9.4281,9.4453,9.4625,9.4798,9.4972,9.5146,9.5321, &
      &          9.5497,9.5673,9.5850,9.6027,9.6205,9.6384,9.6564,9.6744, &
      &          9.6925,9.7106,9.7288,9.7471,9.7655,9.7839,9.8024,9.8210, &
      &          9.8396,9.8583,9.8771,9.8959,9.9148,9.9338,9.9529,9.9720, &
      &          9.9913,10.0106,10.0299,10.0494,10.0689,10.0885,10.1081,10.1279, &
      &          10.1477,10.1676,10.1876,10.2076,10.2277,10.2480,10.2683,10.2886, &
      &          10.3091,10.3296,10.3502,10.3709,10.3917,10.4126,10.4335,10.4546, &
      &          10.4757,10.4969,10.5182,10.5396,10.5610,10.5826,10.6042,10.6260, &
      &          10.6478,10.6697,10.6917,10.7138,10.7360,10.7582,10.7806,10.8031, &
      &          10.8256,10.8483,10.8710,10.8938,10.9168,10.9398,10.9629,10.9862, &
      &          11.0095,11.0329,11.0564,11.0801,11.1038,11.1276,11.1515,11.1756, &
      &          11.1997,11.2240,11.2483,11.2728,11.2973,11.3220,11.3468,11.3716, &
      &          11.3966,11.4217,11.4469,11.4723,11.4977,11.5233,11.5489,11.5747, &
      &          11.6006,11.6266,11.6527,11.6790,11.7053,11.7318,11.7584,11.7852, &
      &          11.8120,11.8390,11.8661,11.8933,11.9206,11.9481,11.9757,12.0034, &
      &          12.0312,12.0592,12.0873,12.1156,12.1439,12.1725,12.2011,12.2299, &
      &          12.2588,12.2878,12.3170,12.3463,12.3758,12.4054,12.4352,12.4651, &
      &          12.4951,12.5253,12.5556,12.5861,12.6167,12.6475,12.6784,12.7095, &
      &          12.7407,12.7721,12.8036,12.8353,12.8672,12.8992,12.9313,12.9637, &
      &          12.9962,13.0288,13.0616,13.0946,13.1278,13.1611,13.1946,13.2282, &
      &          13.2621,13.2961,13.3302,13.3646,13.3991,13.4339,13.4687,13.5038, &
      &          13.5391,13.5745,13.6101,13.6460,13.6820,13.7182,13.7546,13.7911, &
      &          13.8279,13.8649,13.9021,13.9394,13.9770,14.0148,14.0528,14.0909, &
      &          14.1293,14.1679,14.2068,14.2458,14.2850,14.3245,14.3642,14.4041, &
      &          14.4442,14.4845,14.5251,14.5659,14.6069,14.6482,14.6897,14.7314, &
      &          14.7734,14.8156,14.8581,14.9008,14.9437,14.9869,15.0303,15.0740, &
      &          15.118,15.1622,15.2066,15.2514,15.2964,15.3416,15.3871 /)


       real :: basaltsolid(3839) = (/7.6783,7.7023,7.7254,7.7441,7.7678,7.7909,7.81,7.8264, &
      &          7.8471,7.8694,7.8871,7.9076,7.9249,7.9438,7.9626,7.9851, &
      &          8.0077,8.0268,8.0492,8.0728,8.0925,8.1234,8.1458,8.1717, &
      &          8.2021,8.2248,8.2602,8.2920,8.3191,8.3547,8.3816,8.4174, &
      &          8.4524,8.4847,8.5208,8.5561,8.5950,8.6279,8.6656,8.7040, &
      &          8.7383,8.7764,8.8112,8.8465,8.8869,8.9227,8.9621,8.9785, &
      &          9.0108,9.0507,9.0837,9.1208,9.1468,9.1758,9.2107,9.2325, &
      &          9.2592,9.2850,9.3058,9.3269,9.3495,9.3700,9.3812,9.4048, &
      &          9.4266,9.4451,9.4647,9.4753,9.4924,9.5056,9.5214,9.5383, &
      &          9.5528,9.5692,9.5831,9.6000,9.6180,9.6329,9.6451,9.6611, &
      &          9.6825,9.6977,9.7171,9.7327,9.7558,9.7800,9.8107,9.8350, &
      &          9.8689,9.9015,9.9317,9.9683,10.0039,10.0381,10.0778,10.1203, &
      &          10.1593,10.2001,10.2490,10.2942,10.3407,10.3865,10.4347,10.4852, &
      &          10.5334,10.5820,10.6385,10.6871,10.7422,10.7944,10.8533,10.8993, &
      &          10.9554,11.0122,11.0648,11.1203,11.1744,11.2252,11.2838,11.3335, &
      &          11.3887,11.4450,11.4980,11.5539,11.6085,11.6604,11.7130,11.7647, &
      &          11.8145,11.8651,11.9152,11.9692,12.0188,12.0674,12.1171,12.1619, &
      &          12.2101,12.2569,12.3003,12.3401,12.3850,12.4313,12.4691,12.5141, &
      &          12.5559,12.5975,12.6351,12.6753,12.7146,12.7592,12.8001,12.8392, &
      &          12.8775,12.9165,12.9592,12.9984,13.0372,13.0754,13.1171,13.1588, &
      &          13.1957,13.2428,13.2927,13.3276,13.3675,13.4069,13.4456,13.4840, &
      &          13.5244,13.5673,13.6036,13.6414,13.6817,13.7213,13.7608,13.8003, &
      &          13.8426,13.8845,13.9236,13.9634,14.0051,14.0425,14.0818,14.1237, &
      &          14.1635,14.2021,14.2433,14.2843,14.3263,14.3664,14.4052,14.4456, &
      &          14.4827,14.5240,14.5635,14.6000,14.6375,14.6746,14.7149,14.7495, &
      &          14.7795,14.8195,14.8586,14.8976,14.9346,14.9728,15.0093,15.0438, &
      &          15.0877,15.1265,15.1605,15.1937,15.2307,15.2663,15.3034,15.3425, &
      &          15.3794,15.4158,15.4544,15.4948,15.5271,15.5613,15.6019,15.6399, &
      &          15.6747,15.7110,15.7497,15.7845,15.8209,15.8622,15.8997,15.9360, &
      &          15.9747,16.0160,16.0564,16.0939,16.1283,16.1637,16.2020,16.2449, &
      &          16.2855,16.3206,16.3628,16.4018,16.4426,16.4891,16.5267,16.5671, &
      &          16.6080,16.6445,16.6850,16.7301,16.7705,16.8102,16.8548,16.8948, &
      &          16.9294,16.9754,17.0250,17.0662,17.1064,17.1519,17.1928,17.2329, &
      &          17.2741,17.3166,17.3638,17.4025,17.4410,17.4852,17.5287,17.5652, &
      &          17.6105,17.6571,17.6985,17.7365,17.7811,17.8222,17.8637,17.9056, &
      &          17.9439,17.9860,18.0247,18.0636,18.1039,18.1442,18.1799,18.2153, &
      &          18.2330,18.2607,18.2987,18.3313,18.3715,18.4075,18.4431,18.4762, &
      &          18.5127,18.5552,18.5941,18.6201,18.6642,18.6950,18.7260,18.7548, &
      &          18.7914,18.8270,18.8606,18.8951,18.9330,18.9651,18.9930,19.0290, &
      &          19.0577,19.0871,19.1168,19.1405,19.1820,19.2008,19.2340,19.2512, &
      &          19.2803,19.3014,19.3360,19.3593,19.3789,19.4119,19.4386,19.4570, &
      &          19.4724,19.5080,19.5282,19.5455,19.5635,19.5993,19.6149,19.6361, &
      &          19.6569,19.6737,19.6937,19.7122,19.7345,19.7453,19.7645,19.7845, &
      &          19.7973,19.8185,19.8398,19.8600,19.8722,19.8808,19.9013,19.9138, &
      &          19.9197,19.9367,19.9534,19.9597,19.9793,19.9765,19.9981,20.0100, &
      &          20.0189,20.0297,20.0388,20.0526,20.0591,20.0581,20.0856,20.0849, &
      &          20.0874,20.1051,20.0978,20.1075,20.1164,20.1180,20.1323,20.1347, &
      &          20.1392,20.1518,20.1558,20.1683,20.1743,20.1728,20.1706,20.1689, &
      &          20.1774,20.1760,20.1872,20.1855,20.1829,20.1877,20.1818,20.1817, &
      &          20.1967,20.1876,20.1682,20.1835,20.1863,20.2007,20.1893,20.2011, &
      &          20.2026,20.2005,20.2004,20.1911,20.1985,20.1916,20.2050,20.1680, &
      &          20.1731,20.1857,20.1625,20.1755,20.1685,20.1547,20.1626,20.1588, &
      &          20.1594,20.1663,20.1593,20.1638,20.1734,20.1589,20.1639,20.1578, &
      &          20.1449,20.1706,20.1352,20.1414,20.1132,20.1252,20.1146,20.0926, &
      &          20.1020,20.1082,20.0912,20.0934,20.0618,20.0574,20.0517,20.0345, &
      &          20.0458,20.0601,20.0303,19.9994,19.9988,19.9881,19.9877,19.9615, &
      &          19.9340,19.9651,19.9553,19.9322,19.9185,19.8864,19.9018,19.9031, &
      &          19.8996,19.8881,19.8694,19.8832,19.8459,19.6652,19.7934,19.7961, &
      &          19.8654,19.8269,19.7570,19.7244,19.7965,19.7590,19.8038,19.7974, &
      &          19.8234,19.7875,19.8745,19.7622,19.7709,19.7543,19.7950,19.7343, &
      &          19.7809,19.7168,19.7891,19.7364,19.7451,19.7290,19.7981,19.7318, &
      &          19.7833,19.7520,19.7346,19.7422,19.7806,19.7523,19.8069,19.7157, &
      &          19.6644,19.6786,19.7845,19.7663,19.7726,19.7099,19.7025,19.6655, &
      &          19.7674,19.7383,19.7134,19.7400,19.7351,19.6865,19.7067,19.7500, &
      &          19.7806,19.7085,19.7328,19.7475,19.7662,19.7150,19.7154,19.7155, &
      &          19.7685,19.7746,19.7651,19.7299,19.7118,19.7100,19.7936,19.7788, &
      &          19.7202,19.6988,19.6986,19.7010,19.7474,19.7611,19.7162,19.6870, &
      &          19.7018,19.7293,19.6886,19.7031,19.7043,19.6640,19.6477,19.6903, &
      &          19.6642,19.6732,19.6486,19.6738,19.6451,19.6167,19.6395,19.6322, &
      &          19.5959,19.5979,19.5594,19.6215,19.6271,19.6248,19.5533,19.5799, &
      &          19.5459,19.6044,19.5281,19.6071,19.5870,19.6176,19.5998,19.6521, &
      &          19.5201,19.4637,19.4302,19.5569,19.5731,19.5782,19.5759,19.5726, &
      &          19.5206,19.5592,19.5037,19.5133,19.4604,19.5136,19.4805,19.5325, &
      &          19.5360,19.5238,19.4869,19.5574,19.4593,19.5068,19.5208,19.5308, &
      &          19.5257,19.5155,19.4222,19.4597,19.4360,19.5028,19.4614,19.4438, &
      &          19.4285,19.5200,19.4066,19.5207,19.4486,19.4497,19.3796,19.4513, &
      &          19.3758,19.4859,19.3919,19.3979,19.3275,19.4553,19.3632,19.4337, &
      &          19.4219,19.4358,19.3373,19.5013,19.4050,19.4597,19.3947,19.3860, &
      &          19.3625,19.4295,19.3400,19.4015,19.3288,19.4833,19.3472,19.4437, &
      &          19.3055,19.4473,19.3815,19.4234,19.3382,19.3771,19.2879,19.3968, &
      &          19.3875,19.4304,19.2954,19.3417,19.2631,19.3526,19.2481,19.4617, &
      &          19.3129,19.3109,19.2292,19.3875,19.3130,19.3634,19.2336,19.3024, &
      &          19.2926,19.3067,19.2812,19.3855,19.2954,19.2427,19.1888,19.3955, &
      &          19.2697,19.4271,19.2720,19.3730,19.2600,19.3812,19.1002,19.4311, &
      &          19.2062,19.3171,19.1899,19.2705,19.1430,19.3970,19.3225,19.3121, &
      &          19.2733,19.2847,19.1425,19.3480,19.2489,19.3098,19.1693,19.3523, &
      &          19.2282,19.3682,19.1983,19.2800,19.1622,19.3234,19.2392,19.3089, &
      &          19.2247,19.3025,19.2691,19.3040,19.1439,19.2342,19.2744,19.3314, &
      &          19.2212,19.2820,19.2769,19.2412,19.1908,19.3058,19.2410,19.3218, &
      &          19.2696,19.2883,19.1934,19.2842,19.1873,19.2395,19.2321,19.2758, &
      &          19.1787,19.2996,19.2436,19.2280,19.1725,19.2204,19.2082,19.2199, &
      &          19.2031,19.2890,19.2073,19.2749,19.1515,19.1866,19.1461,19.1762, &
      &          19.1308,19.1872,19.1296,19.1832,19.0314,19.1636,19.1264,19.1569, &
      &          19.0887,19.1549,19.1165,19.0895,19.0399,19.1218,19.1161,19.1948, &
      &          19.0731,19.0885,19.0489,19.1331,19.0840,19.1442,19.0540,19.0835, &
      &          19.0469,19.1168,19.0804,19.0973,19.0223,19.0786,19.0471,19.0380, &
      &          19.0248,19.0954,19.0034,19.0701,19.0347,19.0642,19.0536,19.0649, &
      &          19.0068,19.0678,19.0617,19.0374,18.9559,19.0709,19.0131,19.0168, &
      &          18.9702,18.9858,19.0408,18.9821,18.8513,18.9990,18.9878,18.9634, &
      &          18.9540,19.0174,18.9600,18.9216,18.9056,18.9339,18.9478,18.9153, &
      &          18.8959,18.9450,18.9805,18.9496,18.9070,18.9337,18.9170,18.9288, &
      &          18.9226,18.8931,18.9196,18.9071,18.8691,18.9465,18.9513,18.8988, &
      &          18.8915,18.9229,18.9305,18.9057,18.9060,18.9137,18.8891,18.8459, &
      &          18.8658,18.8517,18.8667,18.8777,18.8681,18.8547,18.8741,18.8642, &
      &          18.8707,18.8310,18.8193,18.8390,18.8520,18.8289,18.8502,18.8226, &
      &          18.9195,18.8658,18.8508,18.8211,18.8400,18.8094,18.8711,18.7995, &
      &          18.8437,18.8397,18.7912,18.7605,18.8130,18.7516,18.8004,18.7278, &
      &          18.7532,18.7706,18.7373,18.7274,18.8044,18.7722,18.7770,18.7508, &
      &          18.7491,18.7275,18.7409,18.6880,18.7661,18.7152,18.7317,18.7150, &
      &          18.7716,18.7313,18.7179,18.6765,18.7428,18.6329,18.6970,18.6423, &
      &          18.6792,18.6906,18.7379,18.6523,18.6337,18.6471,18.7109,18.6919, &
      &          18.6754,18.6375,18.6968,18.6288,18.6322,18.5937,18.6662,18.6170, &
      &          18.6531,18.6161,18.6309,18.5957,18.6266,18.5999,18.6577,18.5716, &
      &          18.5930,18.4742,18.6716,18.5482,18.5615,18.5241,18.5790,18.5224, &
      &          18.5691,18.5016,18.5841,18.5545,18.6030,18.4927,18.5438,18.4850, &
      &          18.5178,18.4797,18.5852,18.4489,18.5748,18.5164,18.5513,18.3951, &
      &          18.5066,18.4559,18.4925,18.4116,18.4400,18.3653,18.3601,18.4183, &
      &          18.4915,18.3767,18.4018,18.3307,18.4567,18.4015,18.3636,18.2849, &
      &          18.4343,18.3965,18.3694,18.3233,18.4328,18.2564,18.3872,18.2731, &
      &          18.3954,18.3242,18.4260,18.1298,18.4634,18.2691,18.3301,18.1682, &
      &          18.3532,18.1303,18.2677,18.2536,18.2689,18.1993,18.2858,18.1111, &
      &          18.2982,18.2300,18.1867,18.1387,18.2421,18.1998,18.2632,18.1026, &
      &          18.1759,18.1414,18.2392,18.1271,18.1229,17.9513,18.1540,17.9807, &
      &          18.0481,17.8688,18.0049,17.7924,17.8895,17.7577,17.8247,17.6867, &
      &          17.7744,17.5284,17.5595,17.4182,17.4835,17.4137,17.3933,17.2606, &
      &          17.2476,17.1415,17.1086,16.9459,16.9310,16.7917,16.8293,16.7056, &
      &          16.7739,16.6625,16.6865,16.6690,16.6355,16.5269,16.5453,16.5609, &
      &          16.5211,16.5281,16.5586,16.4729,16.6060,16.4998,16.5295,16.5439, &
      &          16.6210,16.5835,16.6869,16.6492,16.6703,16.6538,16.7043,16.7079, &
      &          16.7694,16.6809,16.8111,16.8226,16.8464,16.7755,16.8629,16.9524, &
      &          16.8964,16.9005,16.9499,16.8967,16.9667,16.9682,16.9878,16.9169, &
      &          17.1034,17.0490,17.0438,17.0238,17.0782,17.0659,17.1425,17.0588, &
      &          17.0841,17.0365,17.0998,17.0919,17.0867,17.1471,17.1947,17.0492, &
      &          17.1096,16.9928,17.0886,17.1108,17.1520,17.1315,17.1637,17.0989, &
      &          17.1599,17.1625,17.1770,17.1614,17.1894,17.2095,17.2158,17.1978, &
      &          17.2007,17.2193,17.2758,17.3307,17.3342,17.2528,17.2258,17.2611, &
      &          17.3286,17.3011,17.3625,17.3360,17.3095,17.3337,17.2949,17.2846, &
      &          17.3349,17.3365,17.3613,17.3827,17.4018,17.3948,17.3637,17.3989, &
      &          17.4214,17.4384,17.3967,17.4074,17.4197,17.3771,17.3872,17.4011, &
      &          17.4295,17.4639,17.4034,17.4093,17.4210,17.4278,17.3964,17.3938, &
      &          17.3908,17.4475,17.4055,17.4481,17.4330,17.4186,17.3764,17.3964, &
      &          17.4443,17.5413,17.4899,17.4484,17.4208,17.4689,17.4550,17.4508, &
      &          17.3882,17.4655,17.4313,17.4266,17.4363,17.4240,17.4073,17.4193, &
      &          17.3783,17.4485,17.4133,17.4597,17.4013,17.4502,17.4265,17.4664, &
      &          17.3895,17.4663,17.4013,17.4220,17.4184,17.4809,17.3983,17.4230, &
      &          17.3450,17.4495,17.4085,17.4508,17.4063,17.5077,17.4454,17.3962, &
      &          17.4025,17.4255,17.3851,17.4383,17.3641,17.4497,17.3258,17.4245, &
      &          17.3711,17.4551,17.4139,17.4578,17.3855,17.4449,17.3186,17.4019, &
      &          17.3990,17.4885,17.3812,17.4139,17.4401,17.4410,17.2989,17.3737, &
      &          17.3191,17.4423,17.4281,17.3713,17.3442,17.4714,17.3793,17.4329, &
      &          17.3396,17.4019,17.3213,17.3591,17.3963,17.4165,17.3424,17.4153, &
      &          17.3647,17.4714,17.2910,17.4258,17.2981,17.4397,17.2500,17.3634, &
      &          17.2553,17.3853,17.2207,17.4444,17.3163,17.4012,17.2831,17.2916, &
      &          17.2584,17.3561,17.2334,17.3252,17.3253,17.3792,17.2996,17.3588, &
      &          17.2449,17.3087,17.2285,17.3177,17.3343,17.3359,17.2626,17.3649, &
      &          17.3520,17.1805,17.3277,17.3019,17.2582,17.3417,17.1838,17.3068, &
      &          17.2062,17.3100,17.2557,17.2866,17.1956,17.3431,17.2515,17.2938, &
      &          17.1684,17.2901,17.1791,17.3272,17.1866,17.3142,17.1389,17.2425, &
      &          17.1614,17.2375,17.1656,17.3385,17.0436,17.2278,17.1324,17.2130, &
      &          17.1266,17.2136,17.1485,17.1965,17.1368,17.2175,17.0659,17.2064, &
      &          17.1961,17.1825,17.1110,17.2328,17.0139,17.1638,17.1141,17.1083, &
      &          17.1536,17.1187,17.1676,17.2225,17.0961,17.1396,17.1345,17.1580, &
      &          17.0331,17.1557,17.0863,17.1419,17.0237,17.0749,16.9948,17.0283, &
      &          16.9910,17.0176,17.0531,17.0562,17.0461,17.0955,16.9969,17.0546, &
      &          17.0201,17.0489,16.9889,16.9995,16.9913,16.9700,17.0040,17.0929, &
      &          16.9572,17.0339,16.8975,16.9548,16.9345,16.9440,16.9365,16.9878, &
      &          16.9470,16.9463,16.9517,16.9904,16.9054,16.9887,16.9443,16.9515, &
      &          16.8758,16.9313,16.8939,16.8964,16.9041,16.9101,16.8388,16.8727, &
      &          16.8781,16.9125,16.8474,16.9104,16.8346,16.8503,16.8442,16.8599, &
      &          16.8148,16.8648,16.8238,16.8329,16.7863,16.9013,16.8388,16.8180, &
      &          16.8196,16.8375,16.7895,16.8397,16.8129,16.8110,16.7941,16.7930, &
      &          16.7602,16.7660,16.7410,16.7587,16.7736,16.7605,16.7347,16.7527, &
      &          16.7337,16.7496,16.7508,16.7618,16.7748,16.7623,16.7696,16.7493, &
      &          16.6689,16.6948,16.7536,16.7230,16.7127,16.7147,16.6819,16.7238, &
      &          16.7608,16.7086,16.6852,16.6555,16.6928,16.7468,16.7567,16.6988, &
      &          16.6778,16.6504,16.6670,16.6624,16.6619,16.6278,16.6679,16.6983, &
      &          16.6998,16.6887,16.7163,16.6789,16.6929,16.6699,16.7047,16.6677, &
      &          16.6671,16.6119,16.6374,16.6452,16.6284,16.5537,16.6707,16.5991, &
      &          16.6197,16.5749,16.5873,16.6234,16.6152,16.5503,16.5846,16.5684, &
      &          16.6285,16.6054,16.5786,16.5604,16.5513,16.5352,16.5683,16.5149, &
      &          16.4561,16.4409,16.4708,16.4497,16.5240,16.4997,16.5374,16.4341, &
      &          16.4773,16.4231,16.4614,16.3714,16.4658,16.3528,16.4246,16.3905, &
      &          16.3932,16.2495,16.3665,16.2524,16.3385,16.2750,16.2750,16.2231, &
      &          16.2782,16.2070,16.2604,16.1552,16.1942,16.0470,16.0725,15.9923, &
      &          15.9894,15.9247,15.8753,15.7476,15.7487,15.6739,15.7588,15.6157, &
      &          15.6295,15.5240,15.5056,15.2816,15.2495,15.1419,15.1077,14.9116, &
      &          14.9214,14.6192,14.6042,14.3451,14.2681,14.0630,14.0293,13.7088, &
      &          13.6298,13.3513,13.2800,13.0232,12.9602,12.8164,12.6389,12.4452, &
      &          12.3744,12.1392,12.1083,11.9790,12.0392,11.8257,12.0130,11.8973, &
      &          12.0513,11.9198,12.1038,11.9959,12.0643,12.0540,12.1087,12.2356, &
      &          12.2910,12.2792,12.4515,12.4100,12.5232,12.5464,12.5644,12.7519, &
      &          12.7794,12.7793,12.9127,12.7582,12.9196,12.9297,12.9906,12.9757, &
      &          13.0733,13.0346,13.1801,13.0694,13.2060,13.1207,13.3054,13.3015, &
      &          13.3397,13.1635,13.3504,13.2867,13.4658,13.3346,13.3999,13.3348, &
      &          13.4708,13.3842,13.4401,13.4163,13.4801,13.4575,13.6278,13.4482, &
      &          13.6062,13.5686,13.6827,13.5573,13.7335,13.6498,13.7413,13.7138, &
      &          13.8440,13.6897,13.8256,13.7802,13.8573,13.7670,13.8656,13.7884, &
      &          13.8612,13.8684,13.9985,13.9613,14.0297,13.9426,14.0254,13.9944, &
      &          14.0583,14.0380,14.1567,14.0494,14.1828,14.1471,14.2236,14.1155, &
      &          14.2758,14.2749,14.2745,14.1954,14.3413,14.2676,14.3738,14.3916, &
      &          14.4798,14.3920,14.5420,14.4349,14.4957,14.4856,14.5667,14.5024, &
      &          14.6150,14.5407,14.6181,14.6209,14.6498,14.6550,14.7653,14.6792, &
      &          14.6629,14.6855,14.7882,14.7546,14.7965,14.7614,14.8378,14.7443, &
      &          14.8539,14.8129,14.8404,14.8146,14.8782,14.9180,14.9640,14.9103, &
      &          14.9482,14.8822,14.9641,14.9148,14.9373,14.9696,14.9635,14.9037, &
      &          14.9861,15.0142,14.9617,14.9722,15.0577,14.9830,15.0060,15.0017, &
      &          15.0471,15.0606,15.0106,15.0688,15.1124,15.0376,15.0450,15.0498, &
      &          15.0709,15.0397,15.0158,15.0339,15.0576,15.0521,15.1105,15.1243, &
      &          15.1265,15.1066,15.0752,15.1004,15.1369,15.0978,15.0770,15.0985, &
      &          15.1241,15.1081,15.0823,15.1054,15.1172,15.0953,15.0669,15.0408, &
      &          15.0947,15.1031,15.0571,15.0728,15.0733,15.0767,15.0231,15.0348, &
      &          15.0733,15.0381,15.0411,15.0966,15.0469,15.0676,15.0661,15.0473, &
      &          15.0030,15.0824,15.0742,15.0360,15.0094,15.0871,15.0428,15.0614, &
      &          15.0286,15.0789,15.1074,15.1330,15.1337,15.1694,15.1432,15.1626, &
      &          15.1229,15.1422,15.1035,15.1782,15.1963,15.1822,15.1878,15.2246, &
      &          15.1332,15.2028,15.2020,15.2621,15.2503,15.2600,15.2014,15.3056, &
      &          15.3077,15.3209,15.2819,15.3432,15.3122,15.3343,15.3173,15.3363, &
      &          15.2285,15.2949,15.2535,15.3442,15.3185,15.3002,15.3087,15.3473, &
      &          15.3251,15.3712,15.3100,15.3307,15.2933,15.3632,15.3291,15.3186, &
      &          15.2509,15.3634,15.3023,15.3488,15.3052,15.3015,15.3210,15.3258, &
      &          15.2286,15.3446,15.1942,15.3459,15.2171,15.3255,15.2522,15.2822, &
      &          15.2510,15.3155,15.1352,15.3304,15.1885,15.2972,15.1219,15.2758, &
      &          15.1563,15.2390,15.1742,15.1806,15.1554,15.2201,15.0605,15.1777, &
      &          15.0495,15.1661,15.0544,15.1799,14.9959,15.1746,14.8835,15.0694, &
      &          14.9888,15.0659,14.9505,15.0797,14.8983,15.0533,14.8656,14.9121, &
      &          14.8710,14.8565,14.7729,14.8337,14.7581,14.8116,14.7190,14.7954, &
      &          14.7452,14.7990,14.7457,14.6031,14.7675,14.8065,14.6228,14.7971, &
      &          14.5855,14.7340,14.6644,14.7584,14.6071,14.7078,14.5494,14.7260, &
      &          14.5734,14.6056,14.5058,14.6553,14.5252,14.5796,14.4786,14.4692, &
      &          14.5383,14.6084,14.5276,14.6198,14.4510,14.5590,14.4447,14.5302, &
      &          14.3750,14.4298,14.4441,14.4378,14.3019,14.4101,14.3150,14.5364, &
      &          14.3096,14.3634,14.2838,14.3329,14.3389,14.3616,14.2386,14.3737, &
      &          14.2886,14.4100,14.3186,14.4335,14.2819,14.3794,14.3339,14.3643, &
      &          14.3114,14.3589,14.2497,14.3020,14.2937,14.3256,14.2274,14.3020, &
      &          14.2859,14.2255,14.1761,14.1929,14.1241,14.2095,14.0697,14.0947, &
      &          14.0102,14.0139,13.9531,13.9900,13.9262,13.8947,13.8772,13.9120, &
      &          13.8054,13.8540,13.7940,13.7867,13.7323,13.7635,13.6646,13.7385, &
      &          13.6923,13.7016,13.6758,13.7246,13.6314,13.6656,13.6381,13.6777, &
      &          13.6121,13.6903,13.6519,13.6540,13.7010,13.7449,13.6589,13.7315, &
      &          13.6686,13.7547,13.6997,13.7272,13.6896,13.7385,13.7043,13.6804, &
      &          13.7120,13.7658,13.7546,13.7581,13.7274,13.7590,13.7085,13.7085, &
      &          13.7033,13.7121,13.5974,13.6998,13.7030,13.6919,13.6530,13.6369, &
      &          13.6458,13.6576,13.6498,13.6261,13.5768,13.6043,13.5920,13.6046, &
      &          13.5923,13.5834,13.5677,13.5493,13.5236,13.4615,13.3855,13.4489, &
      &          13.4490,13.3865,13.3618,13.3712,13.3665,13.3300,13.3399,13.3527, &
      &          13.3123,13.2751,13.2905,13.2914,13.2562,13.1592,13.1259,13.1808, &
      &          13.1497,13.0985,13.1401,13.0767,13.0628,13.0380,13.0038,13.0224, &
      &          12.9876,12.8751,12.9215,12.9693,12.9753,12.8840,12.9190,12.8986, &
      &          12.8766,12.8395,12.8500,12.8481,12.8430,12.7895,12.9167,12.8163, &
      &          12.7447,12.7542,12.8240,12.7791,12.7539,12.7735,12.8102,12.7291, &
      &          12.7342,12.6937,12.7280,12.5990,12.6789,12.6659,12.7001,12.6537, &
      &          12.6077,12.5516,12.6511,12.5667,12.6284,12.6223,12.5694,12.4814, &
      &          12.6186,12.4564,12.5731,12.4328,12.5177,12.4162,12.5698,12.4175, &
      &          12.4194,12.3638,12.3712,12.3383,12.3763,12.2590,12.3736,12.2905, &
      &          12.3999,12.2904,12.3088,12.2658,12.3130,12.0775,12.1905,12.1638, &
      &          12.1637,12.0704,12.2133,12.1279,12.1772,12.0704,12.1492,12.0390, &
      &          12.1428,12.0074,12.0632,11.9582,12.0930,12.0433,11.9936,11.8554, &
      &          11.8540,11.8306,12.0633,11.7138,11.9203,11.7923,11.8249,11.7668, &
      &          11.8816,11.7309,11.8979,11.5409,11.8740,11.7925,11.8366,11.6405, &
      &          11.7987,11.5423,11.6409,11.5416,11.8479,11.4910,11.6074,11.5408, &
      &          11.7121,11.5513,11.6039,11.4905,11.6605,11.3545,11.6760,11.5564, &
      &          11.5822,11.4175,11.7421,11.3587,11.6018,11.2915,11.6825,11.4838, &
      &          11.0829,11.5903,11.3953,11.2443,11.3815,15.3890,15.1413,15.1565, &
      &          15.5163,15.7178,15.6537,15.4975,15.4238,15.1491,14.9868,15.2868, &
      &          15.2940,15.2678,15.5604,15.8016,15.6674,15.5704,15.5968,15.2142, &
      &          14.9153,15.1031,15.3682,15.3156,14.8862,14.9855,15.5545,15.6825, &
      &          15.5133,15.3923,15.4749,15.9444,15.8928,15.2023,14.9441,15.0237, &
      &          15.0072,15.0924,15.1288,15.1658,15.3202,15.3366,15.2617,15.4748, &
      &          15.1760,15.1159,15.3510,15.2212,15.0562,15.4226,15.5417,15.5235, &
      &          15.6619,15.6441,15.1573,14.9864,14.9026,15.2475,15.3708,14.9451, &
      &          14.8857,15.5332,15.7471,15.6924,15.7509,15.6382,15.4916,15.3016, &
      &          15.2165,15.2566,15.3190,15.3047,15.1344,15.4649,15.5090,15.0225, &
      &          15.0747,15.5939,15.5789,15.1055,15.0502,15.1398,15.3789,15.2691, &
      &          15.0726,15.2318,15.5404,15.4140,15.1812,15.4241,15.6581,15.5539, &
      &          15.1559,14.8741,14.9057,14.8807,15.0158,15.0465,14.9844,14.8415, &
      &          14.6863,14.9791,14.9228,14.9026,15.0997,15.1078,15.1873,15.2855, &
      &          14.9533,14.5453,14.4174,14.5650,14.7194,14.6235,14.6307,14.6859, &
      &          14.7297,14.5280,14.4471,14.4410,14.3772,14.5491,14.5737,14.2621, &
      &          14.1482,14.1499,14.0284,13.7697,13.8731,14.4699,14.4733,14.0495, &
      &          13.9516,14.1612,14.0191,13.3977,13.1430,13.1488,12.9506,12.8219, &
      &          12.9121,12.7087,12.5455,12.5662,12.6723,12.7282,12.6047,12.3379, &
      &          12.1003,11.8360,11.7381,11.6600,11.5194,11.3680,11.2113,11.1012, &
      &          10.9647,10.4738,9.8599,9.4259,9.2964,9.3041,9.1841,8.6912, &
      &          8.1427,7.7261,7.7565,7.9454,7.8910,7.3002,6.6976,6.7606, &
      &          6.8541,6.6099,6.1878,5.8475,6.0055,5.7364,5.2199,4.8482, &
      &          4.8505,5.0118,5.1664,5.4314,5.0693,4.9523,5.0877,5.0043, &
      &          4.6259,4.5128,4.6519,4.5643,4.5890,4.7606,4.6029,4.4623, &
      &          4.3240,4.4352,4.2321,3.8721,3.9110,4.0877,4.2212,4.1763, &
      &          4.2340,4.6633,4.2946,3.7986,4.1342,4.0968,3.5492,4.0174, &
      &          4.0158,3.6414,3.4798,3.6510,4.0238,4.5941,5.1369,4.0369, &
      &          2.7480,3.2648,3.5131,4.3787,4.9321,4.0040,2.9873,2.7727, &
      &          3.3411,3.6001,3.5195,3.6598,3.8554,3.6051,3.5892,4.1104, &
      &          3.9823,3.7278,3.9103,3.9510,3.6951,3.6688,3.6766,3.8329, &
      &          4.1070,3.8768,3.6052,3.7018,3.7456,3.7048,3.8269,4.0218, &
      &          4.2779,4.3126,4.1548,3.8880,3.7743,3.9731,4.1195,3.9263, &
      &          3.7188,3.6059,3.6412,3.4761,3.3305,3.6294,4.0070,4.1665, &
      &          4.0568,3.7430,3.5048,3.5220,3.8686,3.5554,3.4886,3.8676, &
      &          3.9007,3.5804,3.6316,3.7497,3.7645,3.2965,2.7515,3.0728, &
      &          3.3730,3.4021,3.8369,3.7180,3.4790,3.7415,3.6012,3.6475, &
      &          4.0595,4.0556,3.7083,3.7473,3.4058,2.7694,2.3844,2.8506, &
      &          3.4957,3.5262,3.7979,3.8727,3.7018,3.4661,3.4550,3.5770, &
      &          3.5265,3.4946,3.3785,3.3503,3.3880,3.5000,3.8141,3.6306, &
      &          3.0665,3.0225,3.2378,3.5412,3.6208,3.4544,3.6587,3.7824, &
      &          3.4015,3.2273,3.1072,3.0176,3.3960,3.6569,3.4880,3.2380, &
      &          3.3522,3.7570,3.8174,3.7294,3.8543,3.8916,3.6504,3.5152, &
      &          3.5620,3.6630,3.6141,3.4363,3.4246,3.5606,3.8888,3.9108, &
      &          3.6151,3.4615,3.5337,3.6556,3.6574,3.5134,3.6667,3.8338, &
      &          3.9752,3.8097,3.7586,3.8784,3.6090,3.5708,3.6193,3.4991, &
      &          3.5064,3.8878,3.8916,3.6647,3.7603,3.9151,3.8419,3.9190, &
      &          3.8864,4.0888,4.2457,4.2422,4.3032,3.9986,3.7532,3.6874, &
      &          3.9918,3.8642,3.9428,4.0550,4.0077,3.8103,3.7600,3.9127, &
      &          4.0782,3.9931,4.0577,4.2531,4.0544,3.7884,3.9067,4.1608, &
      &          4.2689,4.2642,4.2113,4.1094,4.0443,4.3036,4.1674,3.9378, &
      &          4.0051,4.2552,4.1418,4.0214,4.1437,4.3670,4.5284,4.4960, &
      &          4.5391,4.4328,4.3139,4.3980,4.6331,4.5100,4.2715,4.3995, &
      &          4.8420,4.6932,4.5071,4.4723,4.5481,4.8312,5.1038,5.0949, &
      &          5.0809,5.0485,5.1144,5.0804,4.8941,4.8682,5.1373,5.1217, &
      &          4.9250,5.2450,5.3437,5.4311,5.4253,5.3413,5.1922,5.1474, &
      &          5.2646,5.6018,5.5489,5.3922,5.2278,5.2447,5.5020,5.6821, &
      &          5.7103,5.8085,5.7559,5.4575,5.4077,5.8289,6.1598,5.9689, &
      &          5.8260,5.8020,5.9085,6.0381,5.7655,5.6248,5.7546,5.8832, &
      &          6.1201,6.3595,6.4303,6.4385,6.3273,6.4078,6.4615,6.2710, &
      &          6.1502,6.3690,6.4099,6.2423,6.4356,6.8110,6.8704,6.6754, &
      &          6.8120,6.7747,6.6517,6.7715,6.8435,6.9171,6.9141,6.8325, &
      &          6.9441,7.1123,6.9925,6.8202,6.9368,7.2574,7.2769,7.3420, &
      &          7.3499,7.2052,7.1951,7.2406,7.1712,7.1215,7.1874,7.5685, &
      &          7.8826,7.9018,7.7454,7.5518,7.5618,7.6558,7.7080,7.8688, &
      &          7.8776,7.7440,7.7447,7.8485,8.0156,8.0306,7.8820,7.8640, &
      &          7.9013,7.9462,7.8962,7.8872,7.9140,7.9040,8.0599,8.1599, &
      &          8.0532,7.9150,7.9228,8.0908,8.1412,8.1750,8.5558,8.4805, &
      &          8.1475,8.0901,8.2333,8.2386,8.2497,8.3613,8.2503,8.1942, &
      &          8.3973,8.5866,8.5990,8.6359,8.6222,8.7546,8.7471,8.5626, &
      &          8.6352,8.7189,8.7522,8.9436,8.8861,8.9092,8.9999,8.9633, &
      &          9.0332,9.0159,8.9862,9.1901,9.3820,9.4813,9.6400,9.4501, &
      &          9.2537,9.4129,9.5124,9.4777,9.5431,9.5449,9.4840,9.5951, &
      &          9.7345,9.7060,9.6950,9.7493,9.8521,9.8900,9.8739,9.8510, &
      &          9.8008,9.8394,9.8344,9.7622,9.8077,9.8620,9.9159,10.0292, &
      &          10.0774,10.0392,10.2674,10.4055,10.5077,10.6276,10.5269,10.6393, &
      &          10.8392,10.8672,10.9135,10.8915,10.8027,10.8543,10.9581,11.0271, &
      &          11.0535,11.1302,11.2220,11.3203,11.4907,11.5836,11.5362,11.4702, &
      &          11.5142,11.5895,11.5825,11.5061,11.6491,11.7316,11.7815,11.8603, &
      &          11.7961,11.8688,11.9812,12.0144,12.1210,12.2050,12.2778,12.3021, &
      &          12.2709,12.2173,12.2175,12.2433,12.3740,12.5149,12.5172,12.3875, &
      &          12.4410,12.5767,12.5896,12.5296,12.5188,12.6684,12.7742,12.7602, &
      &          12.6950,12.7288,12.8449,12.8071,12.7401,12.8013,12.9043,13.0611, &
      &          13.1503,13.2033,13.1980,13.0759,13.0708,13.2293,13.2537,13.1512, &
      &          13.1688,13.3029,13.2976,13.3616,13.4155,13.4564,13.4920,13.3961, &
      &          13.4486,13.6489,13.7061,13.7559,13.8033,13.6265,13.6106,13.6671, &
      &          13.6780,13.8220,13.8546,13.7586,13.7750,13.8587,13.9001,13.9488, &
      &          13.9107,13.9592,14.0653,14.0289,13.9334,14.0102,14.0557,14.0401, &
      &          14.1206,14.1930,14.2996,14.4089,14.3612,14.1914,13.9977,13.9721, &
      &          14.0286,14.1548,14.2301,14.1881,14.1722,14.2515,14.3233,14.3336, &
      &          14.3999,14.3910,14.3868,14.4262,14.4060,14.3388,14.3837,14.4204, &
      &          14.4187,14.4414,14.4869,14.5346,14.5799,14.6403,14.4986,14.2936, &
      &          14.2564,14.3792,14.5072,14.4524,14.5564,14.5967,14.5135,14.5500, &
      &          14.5025,14.4487,14.5159,14.5433,14.5363,14.4860,14.5146,14.4374, &
      &          14.3968,14.4966,14.5760,14.4713,14.3386,14.3925,14.4404,14.3387, &
      &          14.3175,14.4172,14.4579,14.4405,14.4521,14.4402,14.3945,14.3280, &
      &          14.3056,14.3965,14.4608,14.4119,14.3116,14.3123,14.3881,14.3318, &
      &          14.2377,14.1864,14.2579,14.2766,14.2726,14.3464,14.3382,14.3163, &
      &          14.3217,14.3028,14.1877,14.2230,14.2705,14.1180,13.9695,14.0445, &
      &          14.0690,14.0454,14.0968,14.1196,14.0503,14.0035,14.1022,14.0799, &
      &          13.9640,13.9656,13.8587,13.7727,13.8477,13.9193,13.8671,13.7463, &
      &          13.6647,13.5815,13.5600,13.5650,13.6047,13.7275,13.7238,13.6076, &
      &          13.6135,13.6083,13.5953,13.5397,13.3776,13.3930,13.4565,13.4274, &
      &          13.3899,13.3522,13.3199,13.3213,13.3508,13.2920,13.1900,13.1543, &
      &          13.1883,13.2567,13.1404,12.9513,12.9009,12.9664,13.0423,13.0437, &
      &          12.9832,12.9271,12.9492,12.9269,12.8115,12.7189,12.7204,12.6734, &
      &          12.5930,12.4700,12.3585,12.2964,12.1841,12.0095,12.0109,12.1080, &
      &          12.0566,12.0523,12.1047,12.2443,12.2807,12.2812,12.1979,12.1094, &
      &          12.0555,11.9415,11.8558,11.9417,11.9195,11.8051,11.7635,11.7477, &
      &          11.6930,11.6989,11.7400,11.7052,11.7406,11.7864,11.7512,11.8133, &
      &          11.8426,11.7324,11.6175,11.6514,11.6182,11.5136,11.5782,11.5608, &
      &          11.5063,11.4814,11.4705,11.4922,11.4589,11.4775,11.4125,11.2753, &
      &          11.1854,11.1780,11.3067,11.3605,11.2645,11.1588,11.1093,11.1574, &
      &          11.0718,10.9980,11.0015,10.9569,10.9261,10.8870,10.8138,10.7652, &
      &          10.8272,10.7715,10.7211,10.7475,10.7576,10.7579,10.7328,10.7019, &
      &          10.6415,10.6851,10.6631,10.6101,10.6169,10.5543,10.5029,10.4336, &
      &          10.4287,10.3729,10.3422,10.3483,10.3774,10.4045,10.4201,10.3028, &
      &          10.1917,10.2174,10.1429,10.1067,10.1183,10.1262,10.1401,10.0680, &
      &          9.9848,10.0344,10.0824,10.0956,10.0910,10.0311,9.9591,9.8792, &
      &          9.9006,9.8626,9.8935,9.8939,9.8084,9.7412,9.7523,9.7698, &
      &          9.8067,9.7945,9.6496,9.6009,9.5644,9.5122,9.5061,9.5244, &
      &          9.5305,9.4982,9.4491,9.5045,9.5359,9.4060,9.4027,9.4635, &
      &          9.4253,9.2742,9.2917,9.3523,9.2564,9.1650,9.1976,9.2588, &
      &          9.2241,9.2335,9.2711,9.2268,9.0908,9.0760,9.1181,9.1394, &
      &          9.0193,8.9740,9.1049,9.1044,9.0871,9.1259,9.0682,9.0022, &
      &          8.9676,8.9674,8.9711,9.0348,9.0089,8.9728,8.9951,8.9927, &
      &          8.9148,8.9036,8.9704,8.9432,8.7928,8.7170,8.6900,8.7087, &
      &          8.7190,8.6533,8.5680,8.6234,8.6954,8.5849,8.5297,8.5456, &
      &          8.4922,8.4362,8.3649,8.2881,8.2486,8.1779,8.0589,8.0593, &
      &          8.1297,8.1272,8.0198,7.9509,7.9347,7.9690,8.0025,7.9920, &
      &          7.9054,7.7607,7.7388,7.8275,7.7683,7.7268,7.7204,7.7121, &
      &          7.7336,7.7014,7.6089,7.6329,7.7536,7.7788,7.7035,7.6105, &
      &          7.5843,7.5715,7.5109,7.4859,7.4726,7.4312,7.4461,7.4272, &
      &          7.3289,7.3212,7.3362,7.3285,7.3058,7.2505,7.1405,7.0820, &
      &          7.0853,7.1319,7.0851,6.9770,6.9127,6.8954,6.8224,6.7959, &
      &          6.8047,6.6660,6.6009,6.5650,6.4919,6.4343,6.4353,6.4536, &
      &          6.3664,6.2999,6.2937,6.2749,6.1737,6.0622,6.0712,6.0524, &
      &          6.0150,5.9554,5.8818,5.7890,5.8162,5.8939,5.8529,5.7959, &
      &          5.7049,5.5904,5.6324,5.7008,5.7062,5.7010,5.6280,5.5885, &
      &          5.6545,5.6811,5.6205,5.5504,5.5594,5.5782,5.5536,5.6159, &
      &          5.6145,5.5209,5.5009,5.5181,5.4327,5.3685,5.3902,5.4175, &
      &          5.4229,5.4887,5.5326,5.4458,5.2721,5.2076,5.2937,5.3153, &
      &          5.2119,5.1509,5.1158,5.1155,5.1329,5.1456,5.1260,5.0669, &
      &          5.0524,5.0317,4.9462,4.8804,4.9163,5.0199,4.9723,4.8802, &
      &          4.8586,4.8229,4.7843,4.6796,4.6342,4.6414,4.7288,4.8041, &
      &          4.7637,4.6400,4.5838,4.5720,4.5087,4.5052,4.5081,4.4559, &
      &          4.4330,4.4124,4.4013,4.4119,4.3602,4.3210,4.2387,4.1694, &
      &          4.2751,4.3114,4.2288,4.2730,4.2533,4.1535,4.0828,4.0385, &
      &          3.9949,3.9781,3.9358,3.8662,3.9030,3.8973,3.8308,3.8512, &
      &          3.8024,3.7025,3.6824,3.7481,3.7469,3.6137,3.4706,3.4729, &
      &          3.5291,3.4236,3.3608,3.3122,3.2530,3.2596,3.3281,3.2303, &
      &          3.0770,3.0113,3.0342,3.0707,3.0343,2.9999,2.9073,2.8725, &
      &          2.8698,2.8404,2.8118,2.8037,2.7905,2.8405,2.8953,2.7962, &
      &          2.7165,2.8156,2.8700,2.8127,2.6904,2.6603,2.7813,2.7920, &
      &          2.6857,2.6073,2.7011,2.8256,2.8458,2.7703,2.6987,2.6376, &
      &          2.6783,2.7698,2.8610,2.9179,2.9679,3.0070,3.0613,3.0384, &
      &          2.9256,2.9539,3.0359,3.0771,3.0650,3.0277,3.0922,3.1548, &
      &          3.1997,3.1655,3.1607,3.2353,3.2616,3.3494,3.4745,3.4682, &
      &          3.4243,3.4065,3.3436,3.3816,3.3772,3.3498,3.4939,3.5371, &
      &          3.4832,3.5708,3.5759,3.5251,3.4774,3.4776,3.5511,3.6083, &
      &          3.7438,3.7050,3.5628,3.6240,3.6944,3.7279,3.7595,3.7398, &
      &          3.7267,3.7814,3.8930,3.8900,3.7827,3.7234,3.7399,3.6605, &
      &          3.5695,3.6428,3.6623,3.6227,3.5925,3.5995,3.6232,3.5780, &
      &          3.5632,3.5378,3.5149,3.5326,3.5108,3.4276,3.2725,3.2116, &
      &          3.2571,3.2004,3.1184,3.1808,3.0817,2.9080,2.8711,2.8832, &
      &          2.8000,2.8107,2.8275,2.7410,2.6814,2.6751,2.6018,2.5627, &
      &          2.5689,2.4859,2.4447,2.3983,2.3077,2.2723,2.3551,2.3936, &
      &          2.4521,2.2919,2.1680,2.2242,2.2269,2.2232,2.1952,2.2559, &
      &          2.3905,2.4720,2.4254,2.3654,2.3031,2.4040,2.5742,2.5358, &
      &          2.4756,2.5003,2.4385,2.3754,2.4314,2.3766,2.3498,2.4342, &
      &          2.4001,2.2894,2.1938,2.1105,2.1516,2.2468,2.2216,2.1248, &
      &          2.0511,2.1211,2.1622,2.0880,2.0653,2.1782,2.0870,2.0232, &
      &          2.1215,2.1053,2.0543,2.0300,2.1092,2.2624,2.2327,2.1437, &
      &          2.1366,2.0779,2.0172,2.0671,2.0067,1.9075,1.8752,1.9248, &
      &          1.9804,1.9662,2.0006,2.0336,2.0061,1.9155,1.8471,1.9763, &
      &          2.0810,2.1193,2.1078,2.0555,2.0781,2.0460,2.0509,2.1861, &
      &          2.2314,2.2534,2.3051,2.2453,2.1932,2.1437,2.1951,2.2760, &
      &          2.3251,2.3197,2.3256,2.4219,2.5933,2.5166,2.3851,2.3301, &
      &          2.3289,2.3914,2.4663,2.5584,2.5575,2.5836,2.6966,2.6594, &
      &          2.7518,2.8095,2.8412,2.9119,3.0851,3.2447,3.4156,3.4928, &
      &          3.5063,3.6621,3.8660,4.0535,4.1551,4.2459,4.4616,4.7288, &
      &          4.9794,5.0862,5.2979,5.6329,5.6644,5.5085,5.6501,5.7747, &
      &          5.7180,5.7788,5.8852,6.0483,6.1085,6.1136,6.2360,6.4905, &
      &          6.6528,6.7111,6.8177,7.0463,7.2238,7.2191,7.2347,7.3168, &
      &          7.5891,7.6631,7.5963,7.4722,7.5315,7.9347,8.1051,8.0082, &
      &          8.0074,8.0252,8.0489,8.0556,8.1008,8.1384,8.1916,8.1844, &
      &          8.1521,8.1110,8.1498,8.2382,8.2058,7.9390,7.9181,8.0609, &
      &          7.9669,7.9238,7.9389,7.9182,7.8600,7.9501,7.7910,7.6428, &
      &          7.7534,7.7573,7.7571,7.7388,7.7172,7.8079,7.9055,7.9774, &
      &          7.9292,7.9432,7.9359,7.8580,7.9653,8.1443,8.2522,8.2302, &
      &          8.1576,8.3049,8.3513,8.3576,8.6804,8.9556,9.0141,9.1735, &
      &          9.3819,9.6985,9.7978,9.9655,10.1814,10.2811,10.2134,10.1588, &
      &          10.1333,10.2023,10.2344,10.3316,10.4910,10.3432,10.2018,10.3175, &
      &          10.2624,10.1495,10.1114,9.9765,9.7830,9.6712,9.5891,9.5470, &
      &          9.4477,9.2608,9.1436,9.1581,8.9806,8.8471,8.7831,8.6005, &
      &          8.4208,8.2184,8.0120,7.9220,7.8447,7.7578,7.6602,7.5356, &
      &          7.5060,7.3674,7.1681,6.9696,6.7978,6.7809,6.7162,6.5714, &
      &          6.5289,6.4877,6.4543,6.4416,6.2338,6.0755,6.0954,6.0783, &
      &          5.9754,5.9446,5.8986,5.8113,5.7233,5.6861,5.6483,5.6214, &
      &          5.5885,5.3681,5.2531,5.2062,5.2542,5.2420,5.2327,5.2986, &
      &          5.2712,5.1878,5.1632,5.0578,4.9955,4.9084,4.8783,4.7999, &
      &          4.6323,4.6613,4.7318,4.7243,4.7084,4.5406,4.3407,4.1067, &
      &          4.0815,4.1120,4.2123,4.3281,4.2399,4.2839,4.3245,4.1093, &
      &          3.9763,4.1622,4.2233,4.1789,4.0332,3.9786,3.9451,3.9262, &
      &          3.8722,3.8039,3.8254,3.8932,3.7316,3.6555,3.7426,3.8592, &
      &          3.8088,3.6838,3.7571,3.6788,3.6550,3.5764,3.5316,3.4322, &
      &          3.3864,3.3657,3.3152,3.2863,3.3528,3.3024,3.2172,3.1512, &
      &          3.1295,3.1048,2.9869,2.8706,2.7552,2.7453,2.9738,2.9665, &
      &          2.8205,2.6860,2.7572,2.8385,2.9806,2.9529,2.9364,2.9598, &
      &          2.9595,2.8905,2.7535,2.8419,2.8841,2.7173,2.7006,2.9098, &
      &          3.2012,3.1037,2.9113,2.7849,2.7469,2.7008,2.5983,2.5143, &
      &          2.6838,2.8489,2.8330,2.6951,2.6837,2.7656,2.8021,2.8578, &
      &          2.7162,2.5386,2.4649,2.3627,2.2905,2.2113,2.2002,2.3243, &
      &          2.4169,2.3855,2.3833,2.3078,2.3791,2.6594,2.7093,2.5026, &
      &          2.3998,2.5512,2.4442,2.3807,2.2883,2.2163,2.0718,1.9722, &
      &          2.2490,2.4382,2.3255,2.2243,2.1880,2.1076,2.0416,2.0948, &
      &          2.1577,2.2582,2.1361,1.9139,1.7227,1.6853,1.6725,1.6145, &
      &          1.6529,1.9115,1.9003,1.6155,1.4003,1.5986,2.0753 /)
