[[{"header":{"parameterUnit":"m.s-1","parameterCategory":1,"la1":30.6,"la2":29.2853,"lo1":-89.7004,"lo2":-87.6739,"dy":0.0162,"dx":0.0183,"nx":112,"ny":82,"refTime":"2024-09-05T12:00:00:Z","depth":0,"parameterNumber":2,"parameterNumberName":"U-component_of_WINDS"},"data":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7118,3.0713,3.3727,3.5533,3.5631,3.4073,3.1964,2.9333,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.8165,3.2893,3.4653,3.5707,3.623,3.4321,3.2311,3.0462,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7846,3.0809,3.3997,3.5328,3.5981,3.5931,3.3872,3.1662,2.9402,2.587,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9964,3.2589,3.4187,3.5402,3.5873,3.5278,3.3321,3.0954,2.8181,2.4809,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9349,3.1787,3.3159,3.4483,3.5088,3.4504,3.2906,3.0756,2.7984,2.4379,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.8843,3.1214,3.2604,3.3935,3.4342,3.3479,3.1909,2.9645,2.6546,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5507,2.8204,3.0393,3.1849,3.3063,3.3351,3.23,3.0827,2.8594,2.5427,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5214,2.7348,2.9186,3.074,3.1803,3.1992,3.0961,2.9714,2.7746,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.537,2.7456,2.9092,3.0231,3.1066,3.116,3.0204,2.9257,2.7458,2.4499,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5529,2.7348,2.8828,2.9952,3.0533,3.05,2.9561,2.8621,2.6954,2.4278,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5735,2.7228,2.8494,2.986,3.0229,2.9983,2.9036,2.7997,2.6445,2.4225,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0448,2.9112,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.612,2.7678,2.8923,2.9881,3.0047,2.9725,2.8765,2.8321,2.71,2.4788,2.2842,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.3815,3.2209,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6105,2.7667,2.8905,2.9901,2.9994,2.9622,2.8665,2.8292,2.7303,2.545,2.3576,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8465,3.8872,3.9078,3.9411,3.9627,3.9625,3.7496,3.5897,3.4588,3.2744,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0161,3.1676,3.1917,3.0721,2.6894,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6217,2.7661,2.8848,2.9844,2.9942,2.957,2.8665,2.8206,2.7376,2.6036,2.4209,2.2839,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9949,3.1308,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8152,3.9806,4.0404,4.0941,4.1524,4.195,4.2449,4.2945,4.2786,4.2991,4.3431,4.2182,0.0,3.6784,3.537,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.348,3.4384,3.4775,3.4427,3.2691,2.9659,2.6938,2.5862,2.3718,2.1988,0.0,0.0,0.0,0.0,0.0,0.0,2.7031,2.8382,2.9301,2.9624,2.9659,2.9368,2.8665,2.8321,2.7582,2.6253,2.5285,2.4243,2.2976,2.1507,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9707,3.2602,3.3905,3.4158,3.3781,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8707,4.0106,4.1248,4.2129,4.2997,4.3407,4.3342,4.3852,4.4126,4.4214,4.4102,4.4173,4.4402,4.3947,4.2684,4.0768,3.8457,3.6678,3.5283,0.0,0.0,0.0,0.0,3.3076,3.4161,3.4161,3.4052,3.3842,3.3308,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.1391,3.3446,3.4634,3.5392,3.5697,3.562,3.5216,3.4129,3.2266,3.0215,2.8346,2.6246,2.4513,2.3754,2.3043,0.0,0.0,0.0,2.5983,2.7218,2.8257,2.896,2.9303,2.9317,2.9106,2.8605,2.8198,2.7591,2.6762,2.5842,2.4985,2.4257,2.2827,2.143,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.2262,3.4929,3.6314,3.6693,3.657,0.0,0.0,0.0,0.0,0.0,0.0,3.8255,3.9329,4.0458,4.1614,4.3178,4.408,4.4162,4.5135,4.5314,4.4756,4.5189,4.5275,4.5016,4.5016,4.5016,4.5016,4.4865,4.4618,4.4019,4.1165,3.9399,3.8312,3.681,3.6299,3.6349,3.5813,3.6252,3.7074,3.7074,3.6954,3.6712,3.6309,3.5253,3.3944,3.2792,0.0,0.0,0.0,0.0,3.4192,3.5707,3.6358,3.6524,3.633,3.5926,3.5366,3.4547,3.3665,3.2447,3.0372,2.8408,2.6822,2.5894,2.5187,0.0,2.4827,2.5668,2.659,2.7445,2.8141,2.8685,2.8979,2.8999,2.8866,2.8528,2.8015,2.7497,2.7057,2.6099,2.5436,2.5119,2.3789,2.258,2.155,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8391,3.9067,0.0,0.0,0.0,0.0,3.8559,3.9041,3.9874,4.113,4.2346,4.3531,4.4744,4.593,4.6527,4.6522,4.6859,4.6733,4.6175,4.623,4.6225,4.6225,4.6225,4.6225,4.62,4.5673,4.5422,4.5221,4.2992,4.1683,4.0951,3.9346,3.9045,3.9396,3.8869,3.9346,4.0275,4.0275,4.0275,4.0223,4.0198,3.8743,3.6784,3.5656,3.4904,0.0,0.0,3.557,3.5955,3.6308,3.6718,3.6928,3.6425,3.6033,3.5617,3.5013,3.3839,3.2687,3.1921,3.0003,2.841,2.8079,0.0,2.5628,2.6459,2.6839,2.7282,2.7895,2.8384,2.8708,2.8727,2.8727,2.8655,2.8502,2.7836,2.7246,2.6834,2.6128,2.5508,2.513,2.4245,2.3411,2.2739,2.0581,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.9963,4.0996,0.0,4.0941,4.1054,4.1283,4.1612,4.2164,4.3016,4.4235,4.5036,4.573,4.6341,4.7096,4.7484,4.7484,4.7562,4.7531,4.733,4.733,4.733,4.733,4.733,4.733,4.733,4.7129,4.6853,4.6421,4.5296,4.4091,4.2833,4.2283,4.1758,4.1281,4.108,4.1003,4.1026,4.1026,4.1026,4.1026,4.1026,4.0119,3.8989,3.8565,3.7941,3.7369,3.7567,3.7588,3.748,3.7239,3.6846,3.6333,3.5577,3.5024,3.4485,3.3656,3.3127,3.258,3.196,3.0632,2.9528,2.9222,2.8406,2.7925,2.8321,2.8436,2.8523,2.8572,2.8748,2.8729,2.8454,2.8434,2.8311,2.8009,2.7471,2.6968,2.6581,2.5776,2.5258,2.5102,2.4261,2.356,2.3016,2.1549,2.0202,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8,4.0621,4.195,4.2996,4.3589,4.352,4.3756,4.4036,4.4361,4.4837,4.5454,4.6247,4.7,4.7489,4.7682,4.8209,4.8385,4.8209,4.8209,4.8109,4.7908,4.7908,4.7908,4.7908,4.7908,4.7908,4.7908,4.7908,4.7707,4.7324,4.6772,4.5924,4.4869,4.4292,4.3639,4.2989,4.2813,4.2484,4.2078,4.182,4.1661,4.1502,4.1246,4.0787,4.0252,3.9839,3.9331,3.8825,3.8717,3.8503,3.8132,3.7425,3.6644,3.5801,3.4847,3.4121,3.3445,3.2828,3.2457,3.2113,3.1701,3.0963,3.0286,3.0073,2.9605,2.9297,2.9376,2.9388,2.9333,2.9168,2.9004,2.8809,2.8535,2.8379,2.8151,2.7721,2.7266,2.6752,2.6211,2.5493,2.5024,2.4887,2.4183,2.3652,2.3337,2.2139,2.0838,1.9515,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7723,4.0289,4.2774,4.435,4.5075,4.5797,4.6653,4.6517,4.6484,4.6746,4.7,4.7174,4.7174,4.8209,4.8818,4.8818,4.9314,4.9339,4.8843,4.8818,4.851,4.7958,4.7958,4.7958,4.7958,4.7958,4.7958,4.7958,4.7958,4.7958,4.7908,4.735,4.7124,4.6918,4.5292,4.464,4.4564,4.4041,4.384,4.3658,4.2796,4.2312,4.1927,4.1055,4.0772,4.0563,3.9368,3.9002,3.8918,3.8559,3.8278,3.7824,3.6758,3.6055,3.5386,3.4328,3.3381,3.2657,3.2657,3.196,3.1296,3.1296,3.0959,3.071,3.071,3.0128,2.9637,2.9637,2.9637,0.0,2.9618,2.9219,2.8918,2.8898,2.8555,2.8144,2.7721,2.7266,2.6635,2.5796,2.5332,2.4906,2.443,2.4043,2.3809,2.3789,2.2316,2.0937,1.9615,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8768,4.0968,4.0676,4.2684,4.4602,4.5682,4.6681,4.7312,4.7346,4.7637,4.7942,4.8189,4.8297,4.8485,4.8887,4.9213,4.9364,4.9364,4.9515,4.9515,4.9364,4.9364,4.9289,4.9138,4.9138,4.9138,4.9138,4.9138,4.9138,4.9138,4.9138,4.8912,4.8542,4.8385,4.7702,4.6686,4.6055,4.5598,4.5221,4.507,4.4402,4.3397,4.2513,4.1834,4.1296,4.0865,4.0392,3.9906,3.9337,3.9001,3.8699,3.7985,3.7576,3.7173,3.6279,3.5215,3.4195,3.3715,3.279,3.1989,3.1759,3.1469,3.1238,3.1054,3.0926,3.0868,3.0868,3.0663,3.0527,3.0527,3.0527,3.041,3.0059,2.9922,2.9609,2.8957,2.8781,2.8457,2.7761,2.7266,2.6752,2.625,2.5512,2.5043,2.4926,2.4473,2.4102,2.3811,2.3364,2.2904,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.1569,4.3687,4.4273,4.5352,4.6418,4.7242,4.7953,4.8373,4.844,4.8718,4.9052,4.9446,4.9464,4.9715,5.0268,5.0293,5.0293,5.0293,5.0293,5.0193,4.9941,4.9941,4.9816,4.959,4.959,4.959,4.959,4.959,4.9525,4.9396,4.9396,4.9125,4.8697,4.8288,4.7626,4.6826,0.0,0.0,0.0,0.0,4.4038,4.2764,4.1914,4.1113,4.0358,3.9861,3.935,3.8819,3.838,3.8111,3.785,3.7033,3.6728,3.638,3.5431,3.458,3.3815,3.315,3.2426,3.1776,3.1364,3.1228,3.1083,3.0928,3.0898,0.0,3.0898,3.0898,3.0898,3.0898,3.0898,3.0801,3.0527,3.0312,3.0,2.9512,2.9113,2.8652,2.8015,2.7565,0.0,0.0,0.0,2.5297,2.5102,2.5,0.0,0.0,0.0,0.0,0.0,2.4575,0.0,0.0,2.2536,2.3085,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.4122,4.6011,4.7763,4.7949,4.8168,4.8825,4.8894,4.9095,4.954,4.964,4.9891,5.0361,5.0436,5.0745,5.1247,5.1306,0.0,0.0,0.0,5.1021,5.0519,5.0411,5.0167,4.969,4.9615,4.959,4.959,4.9558,4.9364,4.904,4.8942,4.8714,4.8355,4.7483,4.7012,4.6843,4.6504,4.5853,4.5055,4.4166,4.312,4.2046,4.1197,0.0,0.0,3.8477,3.7938,3.7495,3.6898,3.6685,3.6554,3.5911,3.5726,3.552,3.4493,3.4146,3.3832,3.2773,3.2256,3.188,3.1415,3.1132,3.0937,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0527,3.0254,3.0195,2.9512,0.0,2.8398,2.8015,2.7252,2.601,2.5874,2.5679,2.5336,2.5664,2.5854,2.5854,2.5913,2.5952,2.601,2.6465,2.6894,2.7266,2.5731,2.5633,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.4117,4.6465,4.8202,4.8567,4.9353,4.9755,4.9464,4.9439,4.949,4.959,4.9992,5.0293,5.0386,5.0845,5.1205,5.1306,5.1306,5.1306,5.1306,5.1306,5.1222,5.1122,5.0645,5.0368,5.0243,4.9816,0.0,4.959,4.9332,4.8983,4.8592,4.8035,4.7597,4.7208,4.6756,4.5949,4.5026,4.4991,4.4674,4.4112,4.3158,4.248,4.1862,4.077,3.9664,3.8656,3.7964,3.7068,3.6187,3.5819,3.551,0.0,3.4797,3.4704,3.4652,3.4416,3.3917,3.3432,3.3192,3.262,3.2035,3.1573,3.1416,3.1289,3.0957,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.082,3.0605,3.0234,3.0039,2.9629,2.8867,2.8418,2.791,2.735,2.6953,2.6693,2.6641,2.6719,2.6732,2.6732,2.7109,2.7461,2.7793,2.8223,2.8652,2.907,2.7728,2.7591,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.9472,4.1621,0.0,4.4814,4.6767,4.8271,4.9421,4.9974,5.0243,5.0218,4.9665,4.959,4.9715,4.9967,5.0243,5.0645,5.1222,5.1523,5.1825,5.2101,5.2101,5.2101,5.2101,5.2101,5.1975,5.1699,5.1398,5.0971,5.0386,5.0142,4.9769,4.9332,4.895,4.8396,4.7648,4.6951,4.6248,4.5504,4.4744,4.3855,4.2948,4.2727,4.2753,4.2862,4.2006,4.1347,4.0673,3.9487,3.8463,3.7604,3.6845,3.6113,3.5416,3.5014,3.4766,3.4579,3.4235,3.4141,3.411,3.3953,3.3638,3.3296,3.3099,3.276,3.2363,3.1934,3.168,3.1416,3.125,3.1035,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0801,3.0566,3.0332,3.0019,2.959,2.8984,2.8516,2.8301,2.8086,2.7942,2.7942,2.8184,2.8301,2.8301,2.8542,2.8758,2.8953,2.9217,2.9463,2.9685,2.9063,2.9069,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7761,3.9461,4.0275,4.1673,4.3267,4.4888,4.5846,4.7031,4.8957,4.965,5.0193,5.0996,5.082,5.0343,4.9665,4.959,4.9766,5.0218,5.0444,5.0971,5.1875,5.2151,5.2452,5.287,5.2895,5.2861,5.2792,5.2792,5.2532,5.1911,5.1811,5.1254,5.029,5.019,4.9752,4.9043,4.8591,4.778,4.6681,4.5561,4.447,4.3458,4.2481,4.1707,4.112,4.0674,4.0835,4.1275,4.0701,4.0002,3.9256,3.8187,3.7431,3.6787,3.5989,3.5419,3.4931,3.457,3.4327,3.4141,3.389,3.3796,3.3733,3.3481,3.3386,3.3308,3.3008,3.291,3.2793,3.2413,3.1953,3.1621,3.1513,3.1172,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0547,3.0293,3.0195,2.9492,2.9043,2.9043,2.9043,2.9043,2.9043,2.9403,2.9598,2.9598,2.9676,2.9687,2.9631,2.9766,2.9747,2.9632,2.9624,2.9791,3.1306,3.2817,3.4675,3.5957,3.7632,3.9385,0.0,4.2342,4.3623,4.4934,4.5942,4.6703,4.717,4.7904,4.8699,4.9453,5.0426,5.0946,5.0569,5.0896,5.0795,4.9715,4.959,4.9615,4.9665,5.0594,5.1247,5.1373,5.2277,5.282,5.2895,5.2895,5.2757,5.2481,5.2481,5.2085,5.1314,5.0826,5.036,4.9845,4.9376,4.9101,4.8984,4.8275,4.7327,4.607,4.3538,4.1997,4.1218,4.0775,4.0489,4.0382,3.9977,3.9653,3.9371,3.9144,3.8691,3.8208,3.7788,3.7302,3.6823,3.6426,3.5568,3.464,3.458,3.408,3.3513,3.3481,3.3449,3.3449,3.3418,3.3386,3.3386,3.3328,3.3328,3.3242,3.2812,3.2433,3.2003,3.1601,3.1172,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.084,3.0644,3.0234,2.9766,2.952,2.952,2.952,2.952,2.952,2.9579,2.9598,2.9598,2.997,3.0023,2.9785,2.9861,2.963,2.9098,2.879,2.895,3.4115,3.5761,3.7717,3.9571,4.1559,4.3441,4.4853,4.5915,4.6806,4.7515,4.8033,4.8466,4.8712,4.9032,4.9439,4.9992,5.0469,5.082,5.0921,5.0845,5.0494,4.969,4.9314,4.9364,5.0017,5.0795,5.1423,5.1724,5.2477,5.2895,5.2895,5.2723,5.2421,5.205,5.1597,5.1106,5.0553,5.0125,4.9592,4.9096,4.8883,4.8379,4.7621,4.7132,4.5769,4.3654,4.1878,4.0606,3.9878,3.9482,3.9301,3.9301,3.9156,3.877,3.8426,3.8543,3.8188,3.7529,3.7208,3.6773,3.6308,3.595,3.5271,3.4622,3.4366,3.3897,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3347,3.3203,3.2832,3.2402,3.1973,3.1543,3.1172,3.0937,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.082,3.0625,3.0449,3.0361,3.0361,3.0361,3.0361,3.0361,3.0189,3.0054,3.0054,3.0026,2.989,2.9569,2.9238,2.8749,2.8092,2.7401,2.6991,3.7142,3.8919,4.0906,4.3075,4.5088,4.6837,4.8012,4.8637,4.9057,4.9317,4.9308,4.9267,4.9353,4.9364,4.954,5.0092,5.0285,5.0569,5.0996,5.0695,5.0167,4.9464,4.8949,4.896,4.9729,5.0428,5.1063,5.1665,5.2207,5.2479,5.2421,5.2213,5.1796,5.1152,5.0482,4.9819,4.9139,4.8743,4.821,4.7578,4.7578,4.705,4.6173,4.5572,4.4019,4.1747,4.0695,3.9772,3.903,3.872,3.8611,3.8611,3.8611,3.8379,3.8141,3.8393,3.7924,3.7006,3.6764,3.6387,3.5942,3.5664,3.5254,3.4805,3.4375,3.3945,3.3574,3.3425,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3086,3.2695,3.2433,3.1894,3.1426,3.1113,3.0957,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.082,3.0704,3.0616,3.0304,3.005,2.9873,2.9656,2.9253,2.873,2.8194,2.7504,2.6689,2.5867,2.5133,4.0515,4.284,4.5037,4.6706,4.8094,4.927,5.042,5.0461,5.0307,5.0498,4.99,4.9197,4.8882,4.8818,4.9019,4.954,5.0067,5.0386,5.0411,5.0386,5.0017,4.8969,4.8532,4.8341,4.8352,4.9146,4.9962,5.0671,5.1234,5.1472,5.1257,5.1247,5.0718,4.9616,4.9162,4.8236,4.6736,4.633,4.5714,4.4929,4.4929,4.4891,4.4811,4.3581,4.2323,4.1076,4.021,3.9369,3.8611,3.8611,3.8611,3.8611,3.8611,3.8611,3.8591,3.8591,3.7789,3.6695,3.6714,3.6387,3.5982,3.5996,3.5723,3.5293,3.4824,3.4394,3.3965,3.3535,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3086,3.2793,3.2773,3.209,3.1504,3.1474,3.1152,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0597,3.0274,2.9922,2.9608,2.9165,2.857,2.854,2.8044,2.7082,2.6732,2.5912,2.4672,2.4317,2.379,4.19,4.4381,4.6891,4.859,4.9897,5.0969,5.1753,5.0903,4.9975,5.0061,4.8872,4.7806,4.7682,4.7682,4.7857,4.8385,4.8962,4.9464,4.9816,4.9671,4.917,4.8192,4.7772,4.7385,4.6899,4.8134,4.9224,4.9906,5.023,5.028,5.008,4.9569,4.8743,4.7558,4.6898,4.607,4.5025,4.4595,4.4277,4.4012,4.3746,4.3594,4.3556,4.2591,4.1793,4.105,4.0219,3.9526,3.8965,3.8728,3.8611,3.8611,3.8611,3.8611,3.8611,3.8611,3.7949,3.709,3.709,3.6621,3.5982,3.5982,3.5742,3.5312,3.4844,3.4394,3.4016,3.3535,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3289,3.3125,3.2851,3.2559,3.2187,3.1591,3.1406,3.1211,3.0937,3.0898,3.0898,3.0898,3.0898,3.0898,3.0898,3.0704,3.0567,3.0567,3.0382,3.0128,2.9922,2.9785,2.952,2.8986,2.8451,2.7834,2.7185,2.6779,2.6203,2.5393,2.5086,2.444,2.3604,2.3043,2.2512,4.4225,4.6682,4.8878,5.0185,5.1204,5.1878,5.1758,5.0566,4.9358,4.8856,4.7222,4.5919,4.5919,4.5919,4.622,4.7179,4.8065,4.8814,4.9434,4.9356,4.8813,4.7556,4.7001,4.6475,4.5822,4.6371,4.7278,4.8519,4.8692,4.8568,4.8263,4.774,4.6935,4.5714,4.51,4.4348,4.3573,4.3175,4.2889,4.2736,4.2467,4.2372,4.2313,4.1811,4.1342,4.087,4.0348,3.9766,3.918,3.8906,3.8747,3.8611,3.8611,3.8611,3.8611,3.8611,3.8125,3.75,3.7344,3.6738,3.5982,3.5982,3.584,3.5527,3.5078,3.4648,3.4199,3.3769,3.3535,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3277,3.291,3.2723,3.2401,3.1706,3.1238,3.0832,3.0439,3.0294,3.0352,3.0674,3.0616,3.0499,3.0382,3.0186,2.9962,2.9726,2.9538,2.9253,2.8909,2.8671,2.8253,2.7624,2.6991,2.6263,2.5485,2.5071,2.4548,2.3868,2.3682,2.3216,2.2543,2.2104,2.1795,4.7362,4.9557,5.1047,5.157,5.2093,5.2102,5.0618,4.9502,4.84,4.6976,4.5056,4.3589,4.3639,4.3639,4.4192,4.5869,4.7215,4.8301,4.9075,4.9377,4.8821,4.7064,4.624,4.5574,4.5074,4.4078,4.4362,4.6396,4.6605,4.6433,4.5893,4.5847,4.5287,4.4121,4.3725,4.3116,4.2331,4.1966,4.1579,4.1211,4.1211,4.1211,4.1211,4.1211,4.0957,4.0508,4.0489,4.0039,3.9238,3.9219,3.8965,3.8611,3.8611,3.8611,3.8611,3.8611,3.8301,3.7816,3.7441,3.6758,3.6021,3.6035,3.5982,3.5903,3.5527,3.5078,3.4648,3.4231,3.3769,3.3425,3.3406,3.3386,3.3386,3.3386,3.3386,3.3386,3.3386,3.3355,3.326,3.2931,3.249,3.2078,3.1784,3.0716,2.9814,2.9405,2.9112,2.9261,3.0216,3.0039,2.9715,2.9401,2.9313,2.9046,2.848,2.8391,2.8212,2.7864,2.7233,2.6581,2.5896,2.5301,2.4517,2.3542,2.351,2.3168,2.2512,2.2512,2.2198,2.1583,2.1596,2.1601,4.8878,5.1073,5.2772,5.2903,5.2534,5.1791,5.0587,4.8116,4.5882,4.5113,4.2707,4.0877,4.1279,4.1354,4.195,4.3775,4.5135,4.6403,4.7698,4.782,4.7393,4.6495,4.5936,4.5162,4.3881,4.3486,4.3382,4.3463,4.4221,4.4589,4.4252,4.3915,4.3365,4.2447,4.2293,4.2043,4.1502,4.1405,4.1288,4.1211,4.1211,4.1211,4.1211,4.1211,4.1113,4.0996,4.0664,4.0215,3.9687,3.9336,3.8965,3.8611,3.8611,3.8611,3.8611,3.8611,3.8301,3.7816,3.7441,3.6953,3.6445,3.6133,3.5982,3.5903,3.5527,3.5312,3.5059,3.4329,3.4016,3.3828,3.3496,3.3386,3.3386,3.3386,3.3386,3.3323,3.307,3.3038,3.2848,3.2275,3.1379,3.0722,3.0628,2.9864,2.9149,2.8785,2.8458,2.8521,2.925,2.9064,2.8808,2.8749,2.8044,2.7564,2.7414,2.6749,2.6203,2.5851,2.5423,2.4902,2.424,2.3806,2.3261,2.2512,2.223,2.1884,2.1488,2.1488,2.1393,2.1235,2.1496,2.1612,5.0551,5.2197,5.3367,5.3179,5.2186,5.0752,4.8849,4.6163,4.3559,4.1877,3.9574,3.794,3.8241,3.8693,3.9767,4.2022,4.3698,4.5211,4.6583,4.6819,4.6499,4.5653,4.5026,4.4284,4.3242,4.2629,4.2276,4.2102,4.2789,4.3135,4.2828,4.2621,4.2197,4.154,4.156,4.1444,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0918,4.0469,3.9883,3.9609,3.9141,3.8611,3.8611,3.8611,3.8611,3.8611,3.8418,3.8144,3.7715,3.7305,3.6836,3.6211,3.5982,3.5976,3.5742,3.5547,3.5254,3.4551,3.4251,3.3997,3.3535,3.3386,3.3386,3.3386,3.3292,3.307,3.2772,3.2435,3.1987,3.1134,3.0212,2.9518,2.936,2.8688,2.8033,2.7659,2.7375,2.7241,2.75,2.7565,2.7581,2.7461,2.6689,2.605,2.5745,2.5102,2.4595,2.424,2.3899,2.3496,2.295,2.2606,2.2198,2.1677,2.1488,2.1366,2.1309,2.1309,2.1376,2.1496,2.1703,2.185,5.2171,5.3028,5.3322,5.2816,5.129,4.9224,4.6327,4.3817,4.1248,3.8265,3.6284,3.5082,3.5157,3.6107,3.7692,4.019,4.2291,4.4057,4.5278,4.5846,4.5711,4.4599,4.3886,4.3314,4.2789,4.1807,4.1318,4.1714,4.199,4.2026,4.1753,4.1734,4.154,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0723,3.998,3.9922,3.9414,3.8652,3.863,3.8611,3.8611,3.8611,3.8611,3.8552,3.8086,3.7656,3.7168,3.6367,3.604,3.5982,3.5982,3.5762,3.5371,3.4778,3.4368,3.3979,3.3428,3.326,3.326,3.3197,3.2975,3.2657,3.2211,3.1506,3.07,2.9789,2.8987,2.841,2.8061,2.7442,2.6809,2.644,2.6135,2.5849,2.5486,2.5917,2.6147,2.587,2.5194,2.4517,2.3945,2.3542,2.3199,2.2918,2.2574,2.2261,2.1978,2.1736,2.1448,2.1162,2.1203,2.1349,2.1649,2.1649,2.177,2.1991,2.2031,2.2178,5.3034,5.3433,5.3419,5.2395,5.013,4.7422,4.4557,4.127,3.829,3.6334,3.4251,3.2921,3.342,3.4399,3.565,3.7208,3.9487,4.1392,4.2462,4.3555,4.4026,4.3313,4.3451,4.3148,4.2077,4.1808,4.1578,4.1308,4.1365,4.1365,4.1327,4.1288,4.1288,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0879,4.0391,4.0039,3.957,3.9062,3.8747,3.8611,3.8611,3.8611,3.8611,3.8552,3.8086,3.7656,3.7226,3.6753,3.6309,3.5982,3.5982,3.5942,3.5675,3.4611,3.4222,3.3925,3.2835,3.2581,3.2498,3.2243,3.2115,3.1809,3.0876,2.9674,2.8708,2.851,2.7716,2.7035,2.6972,2.6573,2.6165,2.5826,2.5469,2.5119,2.4739,2.4821,2.4797,2.4471,2.3604,2.2981,2.2856,2.2292,2.1915,2.1853,2.1551,2.133,2.1267,2.1477,2.1566,2.1502,2.1743,2.1857,2.1943,2.1943,2.1937,2.2024,2.2231,2.2378,5.2516,5.2595,5.2303,5.1267,4.8917,4.6023,4.3038,3.9675,3.6433,3.3897,3.2294,3.1386,3.1361,3.2742,3.4237,3.5429,3.7678,3.9619,4.0443,4.1661,4.2426,4.2233,4.2462,4.2428,4.185,4.1618,4.1405,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0918,4.0488,4.0078,3.9629,3.916,3.8787,3.8611,3.8611,3.8611,3.8611,3.8591,3.834,3.7832,3.7266,3.707,3.6543,3.5947,3.5777,3.5572,3.5233,3.4231,3.3556,3.2939,3.2097,3.1589,3.1263,3.1102,3.0682,3.0033,2.9134,2.813,2.7351,2.7167,2.6566,2.613,2.613,2.5659,2.5196,2.5033,2.4751,2.44,2.4035,2.3862,2.3717,2.3602,2.2817,2.2356,2.2356,2.2016,2.1822,2.1822,2.166,2.1563,2.1563,2.1729,2.181,2.181,2.1943,2.2058,2.2205,2.2205,2.2285,2.2479,2.2612,2.2645,5.1574,5.1576,5.1151,5.0022,4.7643,4.4687,4.1509,3.814,3.4823,3.1859,3.0708,3.0111,2.9679,3.129,3.2931,3.379,3.5902,3.7679,3.841,3.976,4.0796,4.1033,4.1396,4.1634,4.1518,4.1346,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0918,4.0488,4.0078,3.9629,3.916,3.8787,3.8611,3.8611,3.8611,3.8611,3.8611,3.8611,3.7972,3.7179,3.7179,3.658,3.5811,3.547,3.5059,3.4483,3.3595,3.2616,3.1715,3.1101,3.045,2.9924,2.9772,2.902,2.818,2.7617,2.6885,2.6231,2.5928,2.5524,2.5255,2.5255,2.4781,2.4394,2.4394,2.4088,2.3766,2.3515,2.313,2.2877,2.2948,2.2429,2.2097,2.2097,2.2021,2.1991,2.1991,2.1991,2.1991,2.1991,2.2044,2.2084,2.2084,2.2171,2.2285,2.2512,2.2512,2.2632,2.2893,2.2893,2.2893,5.0753,5.0915,5.0657,4.905,4.6323,4.3168,3.9874,3.6155,3.2889,3.106,2.981,2.9038,2.9007,3.0229,3.1374,3.1723,3.338,3.4907,3.5911,3.7604,3.8874,3.9217,4.039,4.1025,4.0662,4.0976,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0918,4.0488,4.0078,3.9629,3.916,3.8787,3.8611,3.8611,3.8611,3.8611,3.8611,3.8611,3.7792,3.6755,3.6755,3.6232,3.547,3.5093,3.4455,3.3654,3.2549,3.1633,3.0772,2.9766,2.9178,2.8693,2.808,2.7417,2.6867,2.68,2.5913,2.5138,2.5105,2.4563,2.4156,2.4156,2.4102,2.4068,2.4068,2.3713,2.3427,2.3399,2.2849,2.2472,2.2472,2.2197,2.2016,2.2016,2.1997,2.1991,2.1991,2.1991,2.1991,2.1991,2.2231,2.2345,2.2345,2.2645,2.2827,2.2853,2.2853,2.2867,2.2893,2.2893,2.2893,4.8529,4.8956,4.8806,4.7495,4.5238,4.2462,3.912,3.5881,3.2918,3.0608,2.9638,2.9079,2.8616,2.9455,3.0275,3.0456,3.1782,3.3128,3.406,3.5849,3.7241,3.7728,3.906,4.0012,4.0117,4.0527,4.0898,4.1191,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.0918,4.0488,4.0078,3.9629,3.916,3.8787,3.8611,3.8611,3.8611,3.8611,3.8611,3.8611,3.7967,3.7031,3.6548,3.5384,3.4127,3.3923,3.3032,3.1983,3.1284,3.0204,2.9188,2.8739,2.7889,2.6969,2.6225,2.5712,2.5375,2.5375,2.4868,2.4394,2.4394,2.417,2.4,2.4,2.3782,2.3645,2.3645,2.3338,2.3099,2.3099,2.2868,2.2686,2.2686,2.2418,2.2245,2.2245,2.2452,2.2546,2.2546,2.2546,2.2546,2.2546,2.2653,2.2686,2.2686,2.284,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,4.5855,4.6582,4.6622,4.5308,4.3425,4.1071,3.7792,3.4946,3.2325,3.0059,2.928,2.882,2.8221,2.8644,2.9117,2.9329,3.0305,3.1423,3.2507,3.4194,3.5634,3.6509,3.7909,3.9043,3.9629,4.0312,4.084,4.1191,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1035,4.0742,4.0312,3.9863,3.9414,3.8984,3.8728,3.8611,3.8611,3.8611,3.8501,3.8428,3.8428,3.7588,3.6423,3.5728,3.3983,3.2081,3.1911,3.1243,3.0392,3.0017,2.8834,2.7646,2.7398,2.6459,2.5476,2.4935,2.4567,2.436,2.436,2.4054,2.3816,2.3816,2.3747,2.3679,2.3679,2.3441,2.3236,2.3236,2.3065,2.2893,2.2893,2.2893,2.2893,2.2893,2.2672,2.2552,2.2552,2.2773,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,4.2846,4.3815,4.418,4.2301,4.0579,3.8537,3.5519,3.2764,3.0503,2.9357,2.8514,2.7955,2.7748,2.7759,2.7938,2.826,2.8701,2.9598,3.1189,3.2587,3.4014,3.5525,3.7021,3.8225,3.9121,4.0391,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1191,4.0723,4.0293,3.9863,3.9394,3.8965,3.8611,3.8611,3.8611,3.8611,3.8611,3.8375,3.8009,3.8009,3.6453,3.4469,3.4072,3.1854,2.9266,2.8871,2.9015,2.923,2.8835,2.767,2.6321,2.5554,2.4876,2.4414,2.4414,2.421,2.4,2.4,2.3679,2.3406,2.3406,2.3133,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,3.9824,4.0595,4.0707,3.9547,3.7935,3.6063,3.3821,3.1763,2.998,2.8735,2.8132,2.7715,2.7171,2.6986,2.7009,2.7283,2.812,2.9214,3.0605,3.2403,3.4028,3.5221,3.7374,3.9023,3.9609,4.0586,4.1211,4.1211,4.1211,4.1211,4.1211,4.088,4.088,4.1172,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1211,4.1191,4.0703,4.0273,3.9863,3.9394,3.8817,3.8192,3.8192,3.8009,3.777,3.777,3.7513,3.7144,3.6886,3.5594,3.3935,3.2997,3.0953,2.8753,2.8067,2.7608,2.7209,2.6808,2.6386,2.5858,2.5141,2.4638,2.4223,2.3752,2.3432,2.3236,2.3236,2.3133,2.3065,2.3065,2.2962,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,3.6038,3.6868,3.6948,3.6113,3.4701,3.3181,3.1528,3.0065,2.8816,2.7995,2.7408,2.6953,2.6625,2.6475,2.6495,2.6833,2.7944,2.9249,3.0668,3.2516,3.4321,3.602,3.8135,3.9648,4.0098,4.0762,4.1211,4.1211,4.1055,4.0919,4.0919,4.0529,4.0411,4.0704,4.0704,4.0704,4.0704,4.0704,4.0704,4.0704,4.0841,4.0919,4.0919,4.1133,4.1074,4.0898,4.0469,4.0039,0.0,3.8975,3.8461,3.7972,3.7679,3.7495,3.7365,3.7071,3.6701,3.6238,3.555,3.4114,3.2372,3.1178,2.9229,2.724,2.6611,2.6312,2.6093,2.569,2.558,2.5428,2.487,2.4408,2.402,2.3611,2.3166,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,0.0,3.2801,3.3074,3.2205,3.1196,3.0099,2.8919,2.7874,0.0,2.7012,2.6323,2.5802,2.6066,2.6128,2.6342,2.6846,2.8094,2.958,3.1274,3.2904,3.495,3.7614,3.9141,4.0098,4.045,4.0918,4.1172,4.1133,4.0763,4.0509,4.047,4.0098,3.9863,3.9863,3.9823,3.9823,3.9902,3.9902,3.9902,3.9902,4.0275,4.047,4.047,4.0919,4.0899,4.0412,4.004,3.9591,3.9086,3.8256,3.7862,3.7752,3.696,3.6886,3.7071,3.6312,3.5754,3.5269,3.4032,3.2151,3.006,2.8799,2.6932,2.5129,2.471,2.5102,2.5653,2.5263,2.5152,2.5079,2.471,2.4222,2.383,2.3803,2.3362,2.292,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.7729,0.0,3.0239,2.9918,2.9199,2.8322,0.0,2.6397,2.5717,2.5058,2.5029,2.5131,2.5189,2.5508,2.6072,2.7053,2.8132,2.9487,3.1402,3.4417,3.6951,3.8278,3.957,4.041,4.0469,4.0918,4.1055,4.0666,4.0548,4.0353,4.0059,3.9666,3.943,3.943,3.9075,3.9233,3.9902,3.9902,3.9902,3.9902,3.9981,4.002,4.0059,4.047,4.0453,4.0028,3.9604,3.9179,3.866,3.7536,3.6738,3.6089,3.5605,3.5306,3.5044,3.4556,3.4105,3.3558,3.2326,3.0606,2.8694,2.6646,2.5645,2.5129,2.471,2.4747,2.4857,2.4784,2.4747,2.471,2.4636,2.4332,2.4048,2.3857,2.3487,2.3153,2.2947,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.5888,2.6941,2.7991,2.8232,2.7533,2.6725,2.6381,2.5646,2.496,2.4691,2.4761,2.4977,2.5418,2.6124,2.7027,2.8148,2.9457,3.12,3.3563,3.6366,3.8418,3.9101,4.0156,4.082,4.082,4.086,4.0763,4.0509,4.0157,3.9844,3.9627,3.9193,3.8996,3.8996,3.8719,3.8838,3.9312,3.9312,3.9312,3.9312,3.9509,3.9627,3.9627,3.985,3.972,3.9319,3.869,3.8084,3.7427,3.6181,3.5344,3.4707,3.3936,3.371,3.3765,3.2968,3.255,3.2081,3.0506,2.8646,2.6767,2.5376,2.4931,2.4894,2.4673,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4329,2.3968,2.3843,2.3434,2.3073,2.2934,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2791,2.2619,2.2619,2.2551,2.5073,2.5652,2.6312,2.7085,2.6505,2.5817,2.6195,2.5445,2.4744,2.5041,2.5019,2.5245,2.6187,2.7271,2.8432,2.9629,3.1406,3.3588,3.6234,3.8109,3.9394,3.9922,4.0684,4.1172,4.1094,4.0724,4.047,4.0314,3.9687,3.9272,3.9193,3.8798,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.8996,3.9156,3.9121,3.9118,3.8839,3.8368,3.7482,3.668,3.5829,3.4556,3.3748,3.3217,3.2075,3.2037,3.2512,3.1417,3.0947,3.0591,2.8641,2.6733,2.5037,2.4693,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4235,2.3857,2.3817,2.3375,2.296,2.2907,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2791,2.2791,2.2619,2.2207,2.2207,2.207,2.4063,2.4731,2.5588,2.6889,2.7236,2.7097,2.6372,2.582,2.527,2.472,2.5216,2.6026,2.6962,2.7976,2.9222,3.092,3.3135,3.5251,3.6955,3.8356,3.9512,4.0332,4.0859,4.1055,4.0627,4.0548,4.0236,3.9529,3.9391,3.9114,3.8719,3.864,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.8679,3.8535,3.8186,3.8248,3.7844,3.703,3.6256,3.5437,3.4556,3.3028,3.1922,3.1078,3.023,2.9959,2.9998,2.947,2.9097,2.858,2.6735,2.5671,2.5037,2.4693,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4382,2.4075,2.387,2.35,2.318,2.296,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2722,2.2379,2.2379,2.2207,2.1863,2.1863,2.1829,2.3446,2.4578,2.5915,2.711,2.7315,2.7243,2.7329,2.7084,2.6759,2.6413,2.7073,2.8007,2.8964,2.9958,3.1357,3.3476,3.5402,3.6955,3.7887,3.9101,4.0059,4.043,4.0705,4.0763,4.0509,4.0118,3.9687,3.9351,3.9075,3.8838,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.838,3.8082,3.7647,3.7267,3.6505,3.5442,3.4433,3.3369,3.2304,3.0886,2.9974,2.9353,2.8769,2.8651,2.8793,2.8191,2.7549,2.6791,2.5722,2.5157,2.4823,2.4639,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4302,2.3941,2.3843,2.342,2.3033,2.2934,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2688,2.2585,2.2585,2.2585,2.2482,2.231,2.231,2.231,2.231,2.231,2.2207,2.2035,2.2035,2.1829,2.1484,2.1484,2.1393,2.2864,2.4278,2.5955,2.7219,2.7502,2.7711,2.8652,2.8794,2.8748,2.8831,2.9513,3.034,3.1092,3.2117,3.3588,3.5686,3.7171,3.8262,3.8845,3.9824,4.0566,4.0664,4.055,4.047,4.0353,3.9726,3.9272,3.9154,3.8798,3.86,3.86,3.86,3.86,3.86,3.86,3.8563,3.8453,3.8374,3.8335,3.8335,3.8006,3.7478,3.6812,3.5991,3.4967,3.3775,3.2572,3.1347,3.0191,2.908,2.8353,2.7961,2.7499,2.7415,2.7551,2.6933,2.6212,2.55,2.5109,2.4823,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4209,2.3803,2.3803,2.3335,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2825,2.2654,2.2207,2.1781,2.154,2.1678,2.1691,2.1415,2.1311,2.1276,2.1276,2.1346,2.1346,2.1276,2.1449,2.1358,2.0931,2.1047,2.0943,2.2001,2.323,2.4829,2.6819,2.8242,2.9378,3.031,3.0849,3.1236,3.1623,3.2119,3.2509,3.2723,3.3959,3.535,3.6451,3.7711,3.8828,3.9687,4.0215,4.0664,4.1113,4.0783,4.0353,3.9981,3.9548,3.9114,3.8679,3.86,3.86,3.86,3.86,3.86,3.86,3.86,3.8417,3.8053,3.7662,3.7505,3.7505,3.7469,3.6645,3.5162,3.4346,3.3319,3.2108,3.0824,2.9819,2.8964,2.8065,2.7451,2.7044,2.6366,2.5941,2.5659,2.5364,2.523,2.5074,2.4756,2.4613,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4209,2.3803,2.3803,2.3335,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2619,2.1932,2.116,2.0283,1.9309,1.9878,2.026,2.0225,1.9843,1.9669,1.9669,2.0017,2.0051,1.9669,2.0411,2.0561,2.0179,2.0561,2.0735,2.2315,2.355,2.4994,2.6835,2.8757,3.0325,3.0994,3.2154,3.3124,3.3314,3.396,3.4473,3.4349,3.55,3.6601,3.7003,3.8379,3.9512,3.9844,4.0488,4.0899,4.0783,4.0411,3.9981,3.9588,3.9114,3.8798,3.86,3.86,3.86,3.86,3.86,3.849,3.8215,3.8215,3.7897,3.7263,3.7108,3.6382,3.5167,3.5688,3.5337,3.4197,3.3154,3.1843,3.0384,2.9416,2.8495,2.7687,2.7097,2.6673,2.6327,2.5876,2.5504,2.5237,2.5155,2.4957,2.4783,2.4639,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4559,2.4422,2.4369,2.4369,2.4369,2.4075,2.3763,2.3541,2.3166,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2791,2.2551,2.1885,2.1091,2.0156,1.9309,1.8401,1.7313,1.8156,1.8576,1.8366,1.7725,1.7619,1.8121,1.8051,1.8156,1.8528,1.9006,1.9332,1.9448,2.004,2.0318,2.2601,2.3783,2.522,2.7392,2.9441,3.1217,3.2267,3.3697,3.4841,3.5207,3.5596,3.5844,3.564,3.6384,3.7075,3.7262,3.875,3.9902,3.9902,4.0625,4.1036,4.0548,4.0137,3.9745,3.9351,3.8877,3.86,3.86,3.86,3.86,3.86,3.8472,3.827,3.8016,3.7732,3.7283,3.6633,3.6116,3.5019,3.3396,3.3451,3.3144,3.2587,3.1497,3.0268,2.8871,2.8182,2.749,2.6781,2.6411,2.6065,2.5703,2.5451,2.5197,2.4943,2.4943,2.481,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4586,2.4492,2.4466,2.4436,2.4155,2.4062,2.4048,2.3955,2.3781,2.3581,2.3345,2.3086,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2722,2.2619,2.231,2.1678,2.0698,1.9657,1.8576,1.763,1.6654,1.5523,1.5938,1.6282,1.6397,1.5761,1.5655,1.623,1.6079,1.6327,1.6971,1.771,1.8272,1.8668,1.9657,2.011,2.2682,2.3846,2.5292,2.85,3.043,3.2101,3.4391,3.5593,3.6469,3.7419,3.7011,3.6505,3.6491,3.6627,3.6851,3.7246,3.8769,3.9902,3.9902,4.0644,4.1016,4.0548,4.0137,3.9745,3.9351,3.8877,3.86,3.86,3.86,3.86,3.86,3.8197,3.8016,3.7959,3.7188,3.6577,3.618,3.4581,3.3379,3.2555,3.0886,3.009,3.0052,2.9236,2.8417,2.7555,2.7175,2.6781,2.636,2.6105,2.565,2.5115,2.5115,2.489,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4546,2.4289,2.4195,2.4142,2.3884,2.3803,2.3736,2.3372,2.3292,2.3292,2.3292,2.3086,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2756,2.2345,2.1966,2.1346,2.019,1.9414,1.8506,1.7359,1.6221,1.5088,1.3967,1.3182,1.3289,1.4457,1.4074,1.3868,1.3904,1.428,1.4635,1.499,1.6548,1.7499,1.7931,1.9413,2.0075,2.4179,2.5345,2.6662,2.887,3.0797,3.2641,3.4546,3.5896,3.7052,3.8037,3.7836,3.7406,3.7112,3.7336,3.7695,3.8125,3.916,4.0,4.0293,4.0531,4.0568,4.0137,3.9706,3.9312,3.8838,3.8404,3.816,3.816,3.7904,3.7739,3.7739,3.7358,3.7043,3.6732,3.5955,3.5058,3.4088,3.3042,3.1827,3.0408,2.9338,2.9003,2.9236,2.8378,2.7673,2.7175,2.6742,2.6397,2.6091,2.5583,2.5275,2.5101,2.485,2.4679,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4466,2.4315,2.4222,2.4062,2.3834,2.3541,2.346,2.3394,2.3086,2.3041,2.3041,2.3041,2.296,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2791,2.2516,2.2276,2.1794,2.0884,2.0225,1.9483,1.8587,1.7348,1.6256,1.5407,1.4493,1.3611,1.2768,1.2517,1.2653,1.3289,1.2653,1.2545,1.3111,1.2975,1.3182,1.3825,1.5061,1.6018,1.676,1.8528,1.9483,2.4837,2.6294,2.7797,2.987,3.1727,3.3523,3.5474,3.6807,3.7763,3.8418,3.819,3.7851,3.7598,3.7754,3.7972,3.8281,3.9043,3.9707,3.9961,4.0027,3.9874,3.9487,3.906,3.8632,3.8163,3.7886,3.7778,3.7778,3.7403,3.716,3.716,3.6459,3.5973,3.5742,3.4613,3.3623,3.274,3.1577,3.0346,2.9027,2.8054,2.7646,2.7738,2.7303,2.691,2.6566,2.621,2.5879,2.5623,2.5262,2.501,2.489,2.4666,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4399,2.4182,2.4062,2.3821,2.3527,2.3233,2.314,2.31,2.2947,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2756,2.2516,2.2173,2.1415,2.0468,1.932,1.8541,1.7735,1.6795,1.5629,1.4635,1.3888,1.3218,1.2617,1.2015,1.1943,1.2086,1.2295,1.1871,1.1828,1.2295,1.2086,1.2266,1.2868,1.4181,1.5203,1.6028,1.8037,1.9227,2.5008,2.6882,2.879,3.1244,3.2983,3.464,3.6808,3.7885,3.8461,3.8605,3.8262,3.7952,3.7952,3.7952,3.7988,3.7991,3.8691,3.9219,3.9221,3.9235,3.9108,3.869,3.829,3.7869,3.7429,3.7316,3.7298,3.7298,3.6839,3.6572,3.6572,3.5445,3.4755,3.4717,3.319,3.2168,3.1731,3.0122,2.8905,2.8125,2.7026,2.6307,2.5971,2.6225,2.6198,2.5944,2.5598,2.5331,2.5115,2.5088,2.4877,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4572,2.4559,2.4559,2.4532,2.4319,2.4075,2.3843,2.3514,2.322,2.2974,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2516,2.207,2.1553,2.0225,1.8866,1.771,1.6936,1.6054,1.4955,1.4181,1.3476,1.2789,1.2373,1.1979,1.1619,1.1584,1.1584,1.1584,1.1584,1.1584,1.1584,1.1584,1.1799,1.2194,1.3718,1.4848,1.5638,1.7896,1.9192,2.5941,2.7744,2.961,3.1869,3.3989,3.5849,3.7012,3.7688,3.8119,3.8513,3.8532,3.8437,3.8437,3.8437,3.8535,3.8867,3.9082,3.9224,3.9274,3.9012,3.869,3.829,3.7813,3.7506,3.7429,3.6831,3.6459,3.6459,3.5508,3.4915,3.4915,3.3784,3.2971,3.2649,3.1356,3.0284,2.9586,2.8327,2.7438,2.6934,2.613,2.5688,2.5611,2.5678,2.5665,2.5585,2.5304,2.5144,2.5064,2.4823,2.4653,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4572,2.4382,2.4302,2.4262,2.4035,2.3754,2.3465,2.3447,2.3207,2.2987,2.292,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2791,2.2482,2.2138,2.1276,1.9425,1.8377,1.7243,1.5806,1.5239,1.4635,1.3753,1.3011,1.2517,1.2338,1.1979,1.1691,1.1619,1.1584,1.1584,1.1584,1.1584,1.1584,1.1584,1.1584,1.1799,1.2194,1.344,1.4573,1.5638,1.7605,1.8901,2.5055,2.7212,2.9715,3.2599,3.4681,3.6191,3.6855,3.7324,3.7695,3.791,3.8317,3.8611,3.8611,3.8611,3.8689,3.8867,3.8906,3.8874,3.8718,3.8327,3.7953,3.754,3.7069,3.6842,3.6842,3.6282,3.5782,3.5397,3.4287,3.3368,3.2808,3.1646,3.0779,3.0385,2.9336,2.8509,2.7894,2.7084,2.6477,2.6053,2.5565,2.5224,2.5053,2.5237,2.5304,2.5291,2.4997,2.4863,2.485,2.4666,2.4599,2.4599,2.4599,2.4599,2.4586,2.4439,2.4399,2.4382,2.4102,2.3995,2.3968,2.3857,2.3567,2.3292,2.3292,2.3113,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2722,2.2173,2.1022,1.9599,1.7851,1.6795,1.5769,1.4515,1.3872,1.3306,1.2747,1.2144,1.1823,1.19,1.1727,1.1584,1.1584,1.1552,1.1511,1.1511,1.1511,1.1545,1.1619,1.1799,1.2086,1.2474,1.3789,1.4928,1.5921,1.7816,1.9017,2.3579,2.6413,2.9751,3.3051,3.4824,3.5884,3.6376,3.6805,3.7066,3.7038,3.7744,3.8396,3.8396,3.8323,3.8287,3.8359,3.8287,3.8069,3.7761,3.734,3.6937,3.6533,3.6146,3.5925,3.5925,3.5407,3.4818,3.4167,3.2912,3.1775,3.0743,2.9533,2.8709,2.8296,2.758,2.6975,2.6572,2.615,2.5742,2.5438,2.5144,2.4877,2.4613,2.489,2.4997,2.4997,2.4706,2.4599,2.4599,2.4599,2.4572,2.4519,2.4519,2.4492,2.4426,2.4222,2.4128,2.4088,2.3794,2.3688,2.3723,2.3669,2.3447,2.3212,2.3212,2.3073,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2722,2.2345,2.1484,1.9529,1.771,1.6513,1.5389,1.4356,1.3512,1.28,1.2232,1.1916,1.1559,1.1402,1.1531,1.1538,1.1538,1.1538,1.1423,1.1355,1.1355,1.1355,1.1409,1.1538,1.1987,1.2431,1.2922,1.4344,1.5485,1.6407,1.8154,1.9173,2.2941,2.6724,3.0487,3.2492,3.3926,3.5031,3.5544,3.5962,3.6173,3.5899,3.671,3.7461,3.7461,3.7177,3.7071,3.7425,3.6929,3.6501,3.6466,3.6108,3.5714,3.53,3.4921,3.474,3.474,3.3741,3.2919,3.2555,3.1063,2.999,2.9458,2.8311,2.7444,2.7065,2.6547,2.6091,2.5671,2.5378,2.5219,2.513,2.4836,2.4639,2.4599,2.4639,2.4653,2.4653,2.4613,2.4599,2.4599,2.4599,2.4452,2.4262,2.4262,2.4102,2.3888,2.3884,2.387,2.383,2.3487,2.338,2.334,2.3108,2.2987,2.296,2.296,2.2934,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2104,2.1,1.9588,1.8016,1.6442,1.5026,1.397,1.3091,1.2311,1.197,1.1676,1.1331,1.1261,1.1234,1.1254,1.1261,1.1261,1.1261,1.124,1.1227,1.1227,1.1227,1.124,1.1254,1.1874,1.2586,1.3407,1.4597,1.5791,1.7018,1.8181,1.8957,2.2535,2.5839,2.8887,3.084,3.2346,3.3515,3.4054,3.4183,3.4156,3.4013,3.4191,3.4743,3.5842,3.5939,3.5867,3.6046,3.5796,3.551,3.5296,3.5241,3.5026,3.4433,3.4469,3.4324,3.3873,3.2982,3.1983,3.0978,2.9608,2.8385,2.7356,2.6592,2.5996,2.5585,2.5361,2.5173,2.4986,2.489,2.4836,2.4823,2.4666,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4586,2.4426,2.4315,2.4195,2.4022,2.3888,2.379,2.3581,2.3527,2.3474,2.3166,2.3073,2.3046,2.2934,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2791,2.2345,2.1022,1.9564,1.8261,1.6609,1.5062,1.3891,1.3009,1.2308,1.1786,1.1461,1.1214,1.1043,1.1043,1.1077,1.1193,1.12,1.12,1.12,1.109,1.1043,1.1043,1.1043,1.1145,1.135,1.2122,1.2936,1.3742,1.5266,1.6484,1.7476,1.8552,1.9122,2.178,2.4316,2.6713,2.8902,3.0509,3.1684,3.2254,3.2337,3.2199,3.1936,3.1631,3.1808,3.3127,3.3911,3.4376,3.4483,3.434,3.4126,3.3911,3.4108,3.4037,3.3409,3.3481,3.3301,3.249,3.1655,3.0608,2.9242,2.8151,2.6982,2.5704,2.5263,2.4894,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4559,2.4492,2.4572,2.4559,2.4479,2.4289,2.4115,2.3955,2.3741,2.3643,2.3549,2.3287,2.3207,2.318,2.2974,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2825,2.2482,2.1656,2.0156,1.8541,1.7102,1.5442,1.3951,1.2978,1.2195,1.1614,1.1382,1.1049,1.086,1.086,1.086,1.0901,1.1077,1.1084,1.1084,1.1084,1.0914,1.086,1.086,1.086,1.1096,1.1567,1.2489,1.3314,1.407,1.5798,1.7024,1.7806,1.8803,1.9267,2.0332,2.2306,2.4501,2.6795,2.842,2.963,3.0273,3.0786,3.0819,2.9765,2.954,2.9351,2.8744,3.0626,3.2386,3.2772,3.2245,3.1893,3.2175,3.2245,3.214,3.1752,3.1415,3.0866,3.0049,2.8974,2.8,2.7202,2.6399,2.5704,2.5263,2.4857,2.4636,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4599,2.4452,2.4235,2.4479,2.4439,2.4222,2.4209,2.3875,2.3332,2.3319,2.3166,2.2934,2.292,2.292,2.292,2.2907,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2585,2.1988,2.0871,1.9762,1.8296,1.6079,1.463,1.3356,1.2233,1.1427,1.0968,1.0914,1.0786,1.0698,1.0698,1.0698,1.0698,1.0744,1.0744,1.0744,1.0744,1.0738,1.0698,1.0698,1.0698,1.1063,1.1758,1.2782,1.3692,1.4566,1.6009,1.7128,1.8015,1.8755,1.912,1.8652,2.0508,2.2551,2.4322,2.6084,2.7438,2.7636,2.7931,2.8067,2.7735,2.7508,2.7319,2.722,2.8389,2.9402,2.9541,2.9107,2.8898,2.9298,2.9525,2.9629,2.9523,2.9544,2.9286,2.8471,2.7797,2.7011,2.6063,2.5469,2.4915,2.4341,2.3931,2.3757,2.394,2.3697,2.3665,2.3809,2.4081,2.423,2.423,2.4302,2.4356,2.4356,2.4168,2.4022,2.3928,2.4035,2.4022,2.395,2.3714,2.3514,2.3265,2.31,2.2987,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2825,2.2585,2.2516,2.2448,2.2242,2.1863,2.1158,1.9668,1.8106,1.6426,1.4492,1.3213,1.214,1.1399,1.1084,1.088,1.0779,1.0718,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0916,1.138,1.2114,1.3153,1.4164,1.5124,1.6543,1.7618,1.8399,1.888,1.9104,1.7757,1.924,2.0897,2.2284,2.3781,2.4974,2.5214,2.5509,2.5704,2.5818,2.5578,2.5381,2.5563,2.5823,2.628,2.7115,2.7002,2.6933,2.7192,2.7524,2.7698,2.7575,2.7761,2.7584,2.6786,2.6321,2.5754,2.4925,2.4624,2.4277,2.3817,2.3411,2.3203,2.3277,2.2987,2.2968,2.3159,2.3415,2.3598,2.3721,2.3816,2.3953,2.4048,2.3897,2.375,2.3621,2.3621,2.3621,2.3607,2.3372,2.326,2.3153,2.2974,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2722,2.2619,2.2448,2.2207,2.2138,2.2035,2.1691,2.1236,2.046,1.8981,1.7124,1.5284,1.3685,1.2422,1.1467,1.0962,1.0874,1.0799,1.0698,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.1016,1.1611,1.2437,1.3514,1.4628,1.5769,1.6947,1.7895,1.8603,1.8944,1.9104,0.0,0.0,0.0,2.0776,2.1555,2.2297,2.3203,2.3635,2.3872,2.3994,2.3765,2.3566,2.3544,2.2948,2.3239,2.56,2.5979,2.5994,2.6044,2.6359,2.6464,2.6079,2.6044,2.5743,2.4932,2.4522,2.4132,2.3825,2.379,2.379,2.3777,2.3398,2.2992,2.2574,2.255,2.2586,2.2671,2.2599,2.2778,2.3161,2.3184,2.3398,2.3754,2.379,2.3581,2.3278,2.3278,2.3278,2.3278,2.3278,2.314,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2791,2.2379,2.2035,2.1794,2.1794,2.1794,2.1656,2.1264,2.0664,1.9925,1.8868,1.7001,1.5119,1.366,1.2365,1.1381,1.0975,1.0819,1.0717,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.1016,1.171,1.275,1.3842,1.5094,1.6504,1.7185,1.7895,1.8603,1.8944,1.9072,1.8225,0.0,0.0,0.0,0.0,0.0,2.1288,2.1716,2.2109,2.202,2.2109,2.226,2.247,2.2351,2.2399,2.3014,2.3289,2.3611,2.4073,2.4238,2.4376,2.4547,2.4538,2.4435,2.4191,2.4023,2.3816,2.346,2.3447,2.3354,2.3161,2.2719,2.2188,2.1551,2.1688,2.1786,2.1834,2.2097,2.2277,2.242,2.275,2.2977,2.3069,2.3137,2.3108,2.3027,2.3027,2.3027,2.3027,2.3027,2.2974,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2825,2.2551,2.2482,2.2379,2.2035,2.1863,2.1725,2.1449,2.123,2.099,2.0627,1.9677,1.8751,1.8171,1.6607,1.5037,1.396,1.2838,1.1951,1.1618,1.1276,1.0982,1.0717,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.1016,1.1578,1.2437,1.3481,1.4726,1.6136,1.7292,1.8109,1.8603,1.8944,1.8976,1.9258,1.9555,1.9697,1.9839,0.0,0.0,1.9758,2.0046,2.0395,2.0386,2.0555,2.0796,2.108,2.1149,2.1159,2.1234,2.1603,2.2083,2.2734,2.2835,2.2903,2.3138,2.312,2.3127,2.3127,2.3171,2.314,2.2932,2.306,2.2908,2.2461,2.219,2.17,2.0965,2.1087,2.1172,2.1172,2.1408,2.1655,2.1973,2.2265,2.2523,2.2836,2.2871,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2688,2.2654,2.2585,2.2207,2.1966,2.1794,2.1587,2.1449,2.1252,2.0899,2.0717,2.0515,2.0202,1.9352,1.85,1.794,1.6507,1.5063,1.4253,1.3218,1.2338,1.1876,1.1446,1.1082,1.075,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.1016,1.1479,1.2074,1.2988,1.4292,1.5996,1.7066,1.7916,1.8603,1.8796,1.8796,2.0723,2.0623,2.0341,2.0046,1.9582,0.0,1.8703,1.872,1.8846,1.9,1.9091,1.9263,1.9584,1.9613,1.9706,1.9997,2.0561,2.1149,2.1877,2.1964,2.1991,2.1991,2.1991,2.1991,2.1991,2.2218,2.2378,2.2378,2.2619,2.2424,2.1739,2.1696,2.1377,2.0698,2.0688,2.07,2.07,2.07,2.1047,2.1725,2.1772,2.2138,2.2825,2.2859,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2756,2.2413,2.225,2.2121,2.1752,2.1361,2.1052,2.1052,2.0823,2.0555,2.0325,2.0241,2.0156,1.9926,1.9397,1.8748,1.8114,1.6684,1.5411,1.4791,1.3777,1.2824,1.214,1.1644,1.1181,1.0784,1.0717,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0982,1.1314,1.1743,1.2495,1.3825,1.5759,1.6613,1.7529,1.8539,1.8507,1.8442,2.2285,2.2014,2.1534,2.1061,2.015,0.0,1.8783,1.8512,1.8279,1.8123,1.8161,1.833,1.8617,1.8495,1.8529,1.9063,1.9479,2.0191,2.1489,2.1877,2.1991,2.1991,2.1991,2.1991,2.1991,2.2031,2.2071,2.2071,2.1892,2.1566,2.1098,2.0998,2.0829,2.0386,2.0591,2.07,2.07,2.07,2.0908,2.1311,2.1656,2.2001,2.2413,2.2756,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2688,2.2413,2.231,2.1949,2.1459,2.0826,2.0441,2.0139,2.0139,2.0105,2.0026,1.9977,1.9817,1.9636,1.9588,1.909,1.8653,1.848,1.7498,1.6645,1.6516,1.5378,1.4277,1.358,1.27,1.1843,1.1181,1.0883,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.075,1.0949,1.1314,1.2593,1.3613,1.4301,1.6126,1.7389,1.8098,1.7852,1.7432,2.3639,2.3205,2.2516,2.1431,2.0332,0.0,0.0,1.7947,1.7633,1.7403,1.7403,1.7446,1.7504,1.7393,1.7405,1.7742,1.8183,1.8866,1.991,2.0655,2.1109,2.1109,2.1109,2.1162,2.1355,2.147,2.1605,2.1733,2.1595,2.1264,2.0668,2.0605,2.0506,2.0301,2.0434,2.0567,2.07,2.07,2.0977,2.1484,2.1691,2.207,2.2619,2.2791,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2654,2.2377,2.2034,2.1659,2.1128,2.0588,2.0251,2.0014,1.9881,1.9881,1.9881,1.989,1.9745,1.96,1.9467,1.9334,1.9072,1.886,1.886,1.827,1.7626,1.7098,1.5834,1.4604,1.3744,1.2733,1.1776,1.1049,1.0784,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0784,1.0949,1.2041,1.2758,1.3112,1.4488,1.5694,1.6699,1.6742,1.6353,2.4672,2.3978,2.3059,2.1586,2.0419,1.9296,0.0,0.0,0.0,1.7014,1.6895,1.6763,1.6551,1.6415,1.6373,1.6444,1.6901,1.7461,1.801,1.889,1.965,1.9997,1.9983,2.009,2.0498,2.0722,2.0903,2.1006,2.0987,2.0714,2.0125,2.0125,2.0144,2.0144,2.0253,2.041,2.0628,2.0676,2.1047,2.1703,2.176,2.2138,2.2791,2.2859,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2722,2.2413,2.2012,2.1564,2.0788,2.02,1.9796,1.9748,1.9769,1.9769,1.9769,1.9769,1.9709,1.9479,1.9418,1.937,1.9152,1.9104,1.9104,1.9104,1.8828,1.8314,1.7357,1.6104,1.4833,1.3777,1.2692,1.1743,1.1016,1.0784,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.1347,1.181,1.2091,1.2783,1.3801,1.5117,1.5346,1.5117,2.5099,2.3826,2.2636,2.1898,2.0476,1.9135,1.8705,0.0,1.7267,1.7244,0.0,1.6551,1.6225,0.0,0.0,1.5538,1.5795,1.6115,1.6498,1.686,1.7689,1.9308,1.9225,1.9263,1.9853,1.9933,1.9747,1.924,1.9133,1.9056,1.8982,1.9169,1.9354,1.9588,2.0059,2.0325,2.0362,2.0591,2.0873,2.1276,2.1634,2.2001,2.2379,2.2756,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2654,2.2345,2.231,2.1671,2.0758,1.9898,1.9608,1.9503,1.9261,1.9201,1.9201,1.9201,1.9201,1.9189,1.9165,1.9152,1.914,1.9116,1.9104,1.9104,1.9104,1.8828,1.8442,1.7969,1.7012,1.5941,1.4866,1.3547,1.2429,1.1743,1.1082,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.1082,1.128,1.1314,1.2074,1.2997,1.4071,1.3744,1.3407,2.5196,2.4184,2.3137,2.1787,2.0449,1.9303,1.8607,1.7866,1.7302,1.7302,0.0,0.0,0.0,0.0,0.0,0.0,1.511,1.5154,1.5494,1.5471,1.6032,1.7635,1.7889,1.8157,1.8704,1.905,1.8957,1.8213,1.8397,1.8407,1.8056,1.8562,1.8995,1.9261,1.9636,1.9914,2.0083,2.035,2.0642,2.0984,2.1511,2.1966,2.231,2.2722,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2893,2.2859,2.2619,2.2448,2.219,2.1459,2.0697,1.9968,1.9415,1.9273,1.9249,1.914,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.8988,1.8688,1.8098,1.7001,1.5779,1.4506,1.3284,1.2173,1.128,1.0883,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.085,1.0916,1.0916,1.1214,1.1611,1.2033,1.2503,1.2429,2.5098,2.4163,2.3098,2.1584,2.0393,1.9354,1.8502,1.7843,1.7434,1.7434,1.7025,0.0,0.0,0.0,1.5011,1.4874,0.0,1.4442,1.4576,1.4349,1.4687,1.6179,1.6698,1.7073,1.7382,1.7809,1.7777,1.7095,1.7454,1.7574,1.729,1.8022,1.8645,1.8995,1.9322,1.96,1.9805,2.0071,2.0306,2.0564,2.1136,2.1599,2.1939,2.2313,2.2551,2.2653,2.2653,2.2653,2.2653,2.2653,2.2653,2.2653,2.2653,2.2585,2.2544,2.2806,2.2825,2.2688,2.2413,2.2121,2.1705,2.063,1.9919,1.9455,1.9189,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.888,1.813,1.7034,1.5801,1.4399,1.3186,1.2107,1.1115,1.0817,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0717,1.1512,1.1578,2.4694,2.3362,2.2018,2.136,2.0258,1.9122,1.8452,1.8043,1.777,1.777,1.7409,1.6973,1.6654,1.5928,1.519,1.4607,1.4295,0.0,0.0,1.342,1.3801,1.5271,1.5976,1.6217,1.5901,1.5948,1.5886,1.5591,1.5833,1.6203,1.671,1.7508,1.8173,1.8717,1.9225,1.9503,1.9515,1.9793,1.9938,1.9926,2.0272,2.0626,2.0958,2.1356,2.172,2.2017,2.2017,2.2017,2.2017,2.2017,2.2017,2.2017,2.2017,2.1819,2.1654,2.2557,2.2654,2.231,2.231,2.165,2.074,2.0112,1.9733,1.9455,1.9189,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.888,1.813,1.7421,1.6483,1.5094,1.3678,1.2528,1.1843,1.1148,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.075,1.075,2.41,2.3202,2.2334,2.1669,2.0554,1.9503,1.9063,1.8525,1.8096,1.79,1.7605,1.7211,1.6735,1.6123,1.5475,1.491,1.4424,1.3921,0.0,1.3093,1.3119,1.3628,1.4531,1.515,1.5267,1.5325,1.5237,1.4919,1.5357,1.5785,1.6154,1.7278,1.8076,1.8408,1.8971,1.9237,1.9237,1.9503,1.9636,1.9648,2.0162,2.0481,2.0601,2.1231,2.1562,2.1694,2.1892,2.1991,2.1991,2.1991,2.1991,2.1991,2.176,2.1595,2.1555,2.1851,2.175,2.1381,2.1112,2.0568,1.9922,1.9705,1.9455,1.9225,1.9128,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.8944,1.8474,1.7787,1.6688,1.4866,1.3547,1.2462,1.1512,1.0982,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,2.3742,2.3154,2.2512,2.1846,2.0884,1.9991,1.9563,1.9121,1.8742,1.8476,1.8096,1.7703,1.7232,1.6511,1.5792,1.524,1.4651,1.3961,0.0,1.2805,1.2703,1.2918,1.3587,1.4122,1.4344,1.4362,1.4343,1.4323,1.4711,1.5156,1.5743,1.6867,1.7672,1.8131,1.8693,1.9007,1.9104,1.9273,1.9358,1.9358,1.9736,1.9985,2.0117,2.0595,2.0954,2.1195,2.1423,2.1573,2.167,2.167,2.167,2.1638,2.1326,2.1098,2.1026,2.1233,2.1099,2.0747,2.0347,1.9898,1.9503,1.9503,1.9322,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.9104,1.8944,1.8463,1.7787,1.6753,1.502,1.3744,1.2593,1.1545,1.0982,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684,1.0684]},{"header":{"parameterUnit":"m.s-1","parameterCategory":1,"la1":30.6,"la2":29.2853,"lo1":-89.7004,"lo2":-87.6739,"dy":0.0162,"dx":0.0183,"nx":112,"ny":82,"refTime":"2024-09-05T12:00:00:Z","depth":0,"parameterNumber":3,"parameterNumberName":"V-component_of_WINDS"},"data":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.2317,3.6643,4.0284,4.244,4.2511,4.0606,3.8093,3.4997,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.3529,3.92,4.1343,4.2601,4.313,4.0857,3.8464,3.6344,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.3185,3.6716,4.0516,4.2102,4.288,4.2821,4.0367,3.7734,3.504,3.0865,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.6149,3.9402,4.1426,4.2803,4.3276,4.2653,4.0064,3.7053,3.3771,2.9665,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.665,4.0052,4.2204,4.3497,4.3964,4.3281,4.0455,3.7268,3.3985,2.9312,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7,4.045,4.2634,4.3926,4.4154,4.3093,4.0205,3.6813,3.3039,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.3505,3.7684,4.1168,4.3685,4.4732,4.4713,4.3353,4.0403,3.6847,3.2729,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.4745,3.8742,4.2317,4.5466,4.6112,4.5743,4.4319,4.118,3.7539,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5691,3.9809,4.3232,4.5946,4.6659,4.636,4.4885,4.2173,3.8807,3.4585,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.663,4.0592,4.397,4.6733,4.7242,4.6798,4.5358,4.2936,3.9774,3.5783,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7532,4.1235,4.4512,4.767,4.7853,4.7177,4.5742,4.3578,4.0721,3.6993,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9986,2.8391,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8452,4.2015,4.5073,4.7703,4.7968,4.734,4.5867,4.4669,4.2436,3.8769,3.5469,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.517,3.3136,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8839,4.235,4.5316,4.7736,4.8001,4.7404,4.5929,4.5057,4.3325,4.0384,3.7502,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.1203,4.2051,4.2975,4.3675,4.4059,4.4008,4.0875,3.879,3.75,3.5852,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5985,3.7875,3.8589,3.76,3.3211,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.9703,4.3005,4.5722,4.7818,4.8033,4.7437,4.5929,4.5249,4.3971,4.1768,3.9408,3.7315,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5863,2.7276,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.9941,4.1764,4.3614,4.4924,4.5714,4.6488,4.7248,4.7957,4.8255,4.87,4.9198,4.8525,0.0,4.1622,4.0421,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0033,4.1618,4.261,4.2943,4.2221,3.8048,3.4324,3.3971,3.1332,2.9212,0.0,0.0,0.0,0.0,0.0,0.0,4.2481,4.5092,4.7006,4.8047,4.8163,4.7516,4.5929,4.5821,4.49,4.2737,4.1771,4.0347,3.8192,3.5839,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6081,2.8939,3.0763,3.0891,3.0551,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0922,4.3197,4.5014,4.6431,4.8015,4.9062,4.964,5.0335,5.0873,5.1313,5.1409,5.1606,5.1873,5.1798,5.0309,4.7733,4.4878,4.2802,4.1219,0.0,0.0,0.0,0.0,3.8429,3.9865,3.9865,3.9958,3.9932,3.9258,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7451,4.0214,4.1968,4.3317,4.4578,4.5387,4.5947,4.6228,4.4106,4.1492,3.9421,3.6457,3.4287,3.4201,3.341,0.0,0.0,0.0,4.0786,4.3931,4.5998,4.7491,4.8289,4.8372,4.7906,4.6793,4.6355,4.5581,4.4211,4.3168,4.1997,4.0521,3.8417,3.6021,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9144,3.1901,3.4199,3.448,3.444,0.0,0.0,0.0,0.0,0.0,0.0,4.0489,4.2267,4.4201,4.6369,4.8377,4.9823,5.0635,5.1807,5.2531,5.2751,5.3203,5.354,5.3707,5.3707,5.3707,5.3707,5.3528,5.3174,5.2402,4.8626,4.6437,4.5206,4.3099,4.2406,4.2466,4.1793,4.2446,4.3696,4.3696,4.3797,4.3848,4.3319,4.2013,4.0408,3.908,0.0,0.0,0.0,0.0,4.1066,4.3413,4.4848,4.5917,4.6815,4.7567,4.8178,4.8769,4.8528,4.7376,4.4346,4.143,3.9439,3.9308,3.837,0.0,3.9253,4.1077,4.3126,4.5395,4.6892,4.7977,4.8529,4.8563,4.8279,4.7479,4.6739,4.6047,4.531,4.4197,4.3182,4.2326,4.0435,3.8382,3.6223,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7115,3.7933,0.0,0.0,0.0,0.0,4.0632,4.2373,4.3994,4.528,4.7601,4.9474,5.0852,5.3187,5.4476,5.4531,5.5475,5.5632,5.5029,5.5034,5.5089,5.5089,5.5089,5.5089,5.5059,5.4431,5.4132,5.3892,5.1122,4.962,4.8858,4.6839,4.6429,4.6899,4.6219,4.6839,4.7997,4.7997,4.7997,4.7989,4.7959,4.6172,4.3838,4.2541,4.1643,0.0,0.0,4.2816,4.3714,4.4687,4.6212,4.7586,4.8119,4.9143,5.0165,5.0589,5.0584,5.0035,4.8341,4.5816,4.4009,4.4129,0.0,4.1974,4.3389,4.4392,4.563,4.7356,4.8246,4.8736,4.8769,4.8769,4.8404,4.7494,4.6846,4.6197,4.5442,4.4859,4.4181,4.3362,4.1888,4.0294,3.8651,3.5026,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0578,4.1809,0.0,4.3002,4.3594,4.461,4.6266,4.7345,4.8834,5.083,5.2152,5.3307,5.4378,5.5632,5.6277,5.6277,5.6619,5.6645,5.6406,5.6406,5.6406,5.6406,5.6406,5.6406,5.6406,5.6166,5.5837,5.5384,5.3982,5.2546,5.1103,5.0391,4.971,4.9142,4.8903,4.8865,4.8947,4.8947,4.8947,4.8947,4.8947,4.8077,4.6984,4.6524,4.6026,4.5687,4.5929,4.6314,4.6803,4.7344,4.8291,4.9213,4.9762,5.0486,5.1186,5.1641,5.175,5.1636,5.1333,4.926,4.7601,4.7744,4.6869,4.6474,4.7603,4.8034,4.8482,4.9177,4.9481,4.9448,4.8975,4.8941,4.8606,4.7787,4.7106,4.6359,4.5636,4.4477,4.3693,4.3423,4.1969,4.0704,3.9665,3.6858,3.4297,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8838,4.2064,4.479,4.6057,4.7,4.7859,4.8436,4.9392,5.1031,5.1807,5.2926,5.4509,5.5458,5.6221,5.6825,5.7453,5.7663,5.7453,5.7453,5.7334,5.7094,5.7094,5.7094,5.7094,5.7094,5.7094,5.7094,5.7094,5.6855,5.6462,5.5803,5.473,5.3473,5.2785,5.2007,5.1176,5.0966,5.0631,5.0258,5.0116,5.0148,5.0178,5.0035,4.9754,4.9486,4.9417,4.9225,4.9028,4.9113,4.9281,4.947,4.9665,5.0148,5.0657,5.094,5.1429,5.1871,5.2218,5.2449,5.2661,5.2955,5.153,5.0342,5.0424,4.9884,4.9613,5.0246,5.0329,5.0361,5.0457,5.0236,4.9898,4.9424,4.9154,4.8698,4.7954,4.7225,4.6394,4.5399,4.4099,4.3288,4.3051,4.1833,4.0967,4.0472,3.7916,3.5509,3.3296,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.0719,4.3347,4.6476,4.9635,5.0558,5.1537,5.3022,5.3453,5.3947,5.4854,5.5765,5.6282,5.6282,5.7453,5.8115,5.8115,5.877,5.88,5.8145,5.8115,5.7812,5.7154,5.7154,5.7154,5.7154,5.7154,5.7154,5.7154,5.7154,5.7154,5.7094,5.6492,5.6222,5.6038,5.4037,5.3258,5.3169,5.2486,5.2247,5.2145,5.1743,5.1787,5.1949,5.1497,5.1372,5.1339,5.1132,5.1117,5.118,5.1403,5.1612,5.1704,5.1414,5.1672,5.1849,5.162,5.1959,5.2325,5.2325,5.2799,5.3196,5.3196,5.2623,5.2135,5.2135,5.1661,5.1269,5.1269,5.1269,0.0,5.1235,5.0608,5.015,5.0117,4.9458,4.8748,4.7954,4.7225,4.6191,4.4736,4.3876,4.3085,4.2367,4.1644,4.1238,4.1204,3.8265,3.5677,3.3509,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.315,4.5951,4.5374,4.7719,5.0247,5.2263,5.3465,5.4366,5.5008,5.553,5.6195,5.7113,5.743,5.7782,5.8261,5.865,5.883,5.883,5.9009,5.9009,5.883,5.883,5.874,5.856,5.856,5.856,5.856,5.856,5.856,5.856,5.856,5.8291,5.7786,5.7663,5.7165,5.6383,5.513,5.4341,5.3892,5.3713,5.3151,5.2412,5.1976,5.2124,5.2502,5.2541,5.2759,5.3078,5.3161,5.3312,5.3387,5.313,5.323,5.3274,5.2847,5.2765,5.2782,5.2858,5.2794,5.2781,5.2921,5.3093,5.323,5.3382,5.323,5.3129,5.3129,5.2977,5.2875,5.2875,5.2875,5.2672,5.2063,5.1826,5.1285,5.0218,4.9914,4.9289,4.8022,4.7225,4.6394,4.5466,4.4133,4.3321,4.3118,4.2388,4.1745,4.1191,4.0366,3.9324,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.7609,5.0478,5.1211,5.2344,5.3693,5.5252,5.6083,5.67,5.7156,5.7484,5.8071,5.8863,5.8949,5.9249,5.9907,5.9937,5.9937,5.9937,5.9937,5.9817,5.9518,5.9518,5.9368,5.9099,5.9099,5.9099,5.9099,5.9099,5.9153,5.9261,5.9261,5.9131,5.8877,5.8708,5.8291,5.7632,0.0,0.0,0.0,0.0,5.4261,5.3581,5.3109,5.3338,5.3862,5.3746,5.3975,5.4359,5.4622,5.481,5.4943,5.4839,5.4902,5.4899,5.4494,5.4345,5.4181,5.3766,5.3567,5.3411,5.3246,5.328,5.3365,5.3501,5.3518,0.0,5.3518,5.3518,5.3518,5.3518,5.3518,5.3348,5.2875,5.2503,5.1961,5.1116,5.0489,4.9627,4.8462,4.7684,0.0,0.0,0.0,4.3761,4.3423,4.3301,0.0,0.0,0.0,0.0,0.0,4.2193,0.0,0.0,3.8498,3.9535,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.1547,5.435,5.6859,5.6702,5.6772,5.8058,5.8205,5.8444,5.9039,5.9159,5.9458,6.0084,6.0174,6.0475,6.1074,6.1076,0.0,0.0,0.0,6.0805,6.0206,6.0144,5.9787,5.9219,5.9129,5.9099,5.9099,5.9126,5.9288,5.9556,5.9636,5.9823,6.0114,5.9761,5.9635,5.942,5.7492,5.6561,5.6201,5.5711,5.544,5.5231,5.4795,0.0,0.0,5.5079,5.5072,5.5328,5.5681,5.5821,5.5954,5.6369,5.6486,5.6432,5.615,5.5996,5.5684,5.4544,5.4352,5.4257,5.3533,5.3517,5.3585,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.2875,5.2401,5.23,5.1116,0.0,4.9187,4.8462,4.7143,4.5108,4.4871,4.4533,4.3829,4.4451,4.4838,4.4838,4.4939,4.5007,4.5108,4.5838,4.6583,4.7225,4.4232,4.4063,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,5.1654,5.4887,5.7255,5.7816,5.8686,5.9164,5.8949,5.8919,5.8979,5.9099,5.9578,5.9937,6.0114,6.0595,6.0956,6.1076,6.1076,6.1076,6.1076,6.1076,6.1044,6.0924,6.0356,6.0027,5.9877,5.9368,0.0,5.9099,5.9315,5.9553,5.9872,6.032,6.0716,6.0969,6.1071,6.1046,6.0711,5.8634,5.7892,5.788,5.6691,5.6372,5.6444,5.6179,5.6059,5.6048,5.6284,5.627,5.6192,5.6427,5.6622,0.0,5.7063,5.712,5.7105,5.7066,5.6727,5.6334,5.6068,5.5725,5.5207,5.4481,5.4346,5.4194,5.3619,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3382,5.301,5.2367,5.2029,5.1319,4.9999,4.9221,4.8342,4.7312,4.6684,4.6293,4.6143,4.6278,4.636,4.636,4.6955,4.7564,4.8139,4.8883,4.9627,5.0288,4.7906,4.7669,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.4615,4.7304,0.0,5.2702,5.4939,5.7146,5.8833,5.9491,5.9877,5.9847,5.9189,5.9099,5.9249,5.9548,5.9877,6.0356,6.1044,6.1403,6.1762,6.2091,6.2091,6.2091,6.2091,6.2091,6.1942,6.1613,6.1253,6.0745,6.0114,5.9757,5.951,5.9315,5.958,6.0031,6.0576,6.1118,6.1652,6.2202,6.2656,6.2996,6.3004,6.1591,6.0285,5.9198,5.8755,5.8505,5.8357,5.813,5.8111,5.8113,5.7626,5.7443,5.7371,5.7068,5.7082,5.7195,5.7402,5.7458,5.7476,5.7569,5.7392,5.7094,5.6757,5.6457,5.6055,5.531,5.4871,5.4482,5.4126,5.3754,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3348,5.2942,5.2536,5.1995,5.1251,5.0202,4.939,4.9018,4.8646,4.8458,4.8458,4.8815,4.9018,4.9018,4.9375,4.9747,5.0085,5.0925,5.1549,5.1872,5.1238,5.1054,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.148,4.3682,4.5522,4.7362,4.9445,5.1866,5.3619,5.5432,5.7639,5.8844,5.9817,6.0775,6.0565,5.9997,5.9189,5.9099,5.9308,5.9847,6.0116,6.0745,6.1822,6.2151,6.251,6.3078,6.3108,6.3137,6.3194,6.3194,6.2953,6.2555,6.2435,6.1831,6.0804,6.0683,6.0488,6.016,6.0475,6.1019,6.1668,6.2209,6.2851,6.3602,6.4258,6.4763,6.5092,6.4542,6.2955,6.0977,6.0986,6.0652,6.0161,6.0014,6.012,6.0104,5.8944,5.8513,5.8351,5.7748,5.7484,5.7458,5.7606,5.7662,5.7698,5.7845,5.79,5.7764,5.7171,5.7002,5.6799,5.6071,5.5344,5.4769,5.4651,5.3991,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.2909,5.2469,5.23,5.1082,5.0304,5.0304,5.0304,5.0304,5.0304,5.0863,5.1201,5.1201,5.1336,5.142,5.1452,5.2411,5.2915,5.2979,5.3788,5.3606,3.4731,3.6367,3.8426,3.9847,4.1703,4.3646,0.0,4.6923,4.8555,5.0788,5.2503,5.3963,5.5108,5.6586,5.7909,5.8806,6.0029,6.0715,6.0266,6.0655,6.0535,5.9249,5.9099,5.9129,5.9189,6.0296,6.1074,6.1224,6.2301,6.3018,6.3108,6.3108,6.3223,6.3453,6.3453,6.3677,6.415,6.354,6.3312,6.337,6.2845,6.2564,6.2556,6.3056,6.3235,6.3192,6.402,6.4669,6.5168,6.5492,6.567,6.5736,6.58,6.5265,6.4248,6.2643,6.1544,6.0924,6.114,6.0797,6.0311,6.0324,5.9563,5.8661,5.856,5.8219,5.7827,5.7845,5.7863,5.7863,5.7881,5.79,5.79,5.7798,5.7798,5.7577,5.6833,5.6105,5.5361,5.4735,5.3991,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3416,5.3078,5.2367,5.1555,5.1066,5.1066,5.1066,5.1066,5.1066,5.1167,5.1201,5.1201,5.1844,5.2264,5.2445,5.3388,5.4008,5.4296,5.4504,5.4375,3.7931,3.976,4.1889,4.3899,4.6156,4.8299,4.9814,5.1275,5.2731,5.424,5.5499,5.6621,5.754,5.8241,5.8919,5.9578,6.0146,6.0565,6.0685,6.0595,6.0176,5.9219,5.877,5.883,5.9608,6.0535,6.1283,6.1642,6.254,6.3108,6.3108,6.3252,6.3451,6.3706,6.4073,6.4465,6.485,6.4738,6.4557,6.4346,6.4067,6.391,6.3844,6.4206,6.4611,6.5026,6.5814,6.6102,6.6042,6.628,6.6388,6.6388,6.6473,6.6066,6.5316,6.4384,6.3321,6.2304,6.2542,6.2119,6.1486,6.1108,6.0329,5.9441,5.9002,5.8417,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.7832,5.7509,5.6867,5.6122,5.5378,5.4634,5.3991,5.3585,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3382,5.3044,5.2739,5.252,5.252,5.252,5.252,5.252,5.2619,5.2651,5.2651,5.3071,5.3372,5.355,5.4132,5.457,5.4911,5.5259,5.5417,4.125,4.3224,4.543,4.7787,5.0075,5.2075,5.3382,5.4553,5.5694,5.6608,5.7288,5.794,5.8686,5.883,5.9039,5.9697,5.9994,6.0266,6.0775,6.0416,5.9787,5.8949,5.8464,5.8607,5.9594,6.0231,6.0922,6.1845,6.2563,6.3099,6.3451,6.3622,6.3963,6.4379,6.4906,6.5367,6.588,6.6173,6.6128,6.5862,6.5862,6.5809,6.5713,6.5846,6.6191,6.6728,6.7146,6.7017,6.6592,6.6728,6.6791,6.6791,6.6791,6.6474,6.598,6.5834,6.4705,6.3296,6.3437,6.3024,6.2333,6.1772,6.1061,6.0283,5.9539,5.8795,5.8152,5.7967,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.7306,5.663,5.6105,5.5243,5.4431,5.389,5.3619,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3517,5.3584,5.3635,5.3767,5.3864,5.3962,5.4127,5.4301,5.4535,5.4815,5.5164,5.5563,5.595,5.6284,4.5046,4.7579,4.9963,5.1929,5.3413,5.472,5.5997,5.6537,5.6987,5.7963,5.7912,5.7794,5.8062,5.8115,5.8354,5.9039,5.9668,6.0114,6.0144,6.0114,5.9608,5.8294,5.8354,5.8512,5.8655,5.8961,5.9807,6.1401,6.2152,6.3068,6.4295,6.4354,6.4771,6.5619,6.5911,6.6544,6.7606,6.7885,6.8254,6.8773,6.8773,6.8798,6.8757,6.8573,6.8393,6.8194,6.7756,6.7254,6.6791,6.6791,6.6791,6.6791,6.6791,6.6791,6.6757,6.6757,6.5371,6.3477,6.3511,6.3024,6.24,6.2347,6.1873,6.1129,6.0317,5.9573,5.8829,5.8084,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.7306,5.6799,5.6765,5.5581,5.4566,5.4583,5.3957,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3601,5.3783,5.398,5.4108,5.4349,5.4664,5.4679,5.4892,5.5373,5.5499,5.5887,5.6488,5.6684,5.6907,4.6585,4.9345,5.2078,5.3965,5.5416,5.6607,5.7477,5.7346,5.7175,5.7462,5.7096,5.6721,5.6825,5.6825,5.7034,5.7663,5.8351,5.8949,5.9368,5.9591,5.9449,5.8787,5.8928,5.9239,5.9625,5.964,6.0314,6.1974,6.2866,6.3923,6.5118,6.5557,6.6173,6.6982,6.7446,6.8061,6.8757,6.9083,6.9334,6.9502,6.967,6.9765,6.9789,7.0016,6.9814,6.9256,6.8793,6.8202,6.7489,6.6994,6.6791,6.6791,6.6791,6.6791,6.6791,6.6791,6.573,6.4241,6.4241,6.3429,6.24,6.24,6.1907,6.1163,6.0351,5.9573,5.8844,5.8084,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.773,5.7374,5.69,5.6393,5.575,5.4786,5.4397,5.4059,5.3585,5.3518,5.3518,5.3518,5.3518,5.3518,5.3518,5.3584,5.3617,5.3617,5.3768,5.3866,5.398,5.4011,5.4157,5.4444,5.4726,5.4998,5.5278,5.5519,5.5794,5.6124,5.6262,5.6546,5.6984,5.7213,5.7425,4.9117,5.1846,5.4284,5.5736,5.6868,5.768,5.7736,5.728,5.678,5.6388,5.5474,5.4785,5.4785,5.4785,5.5144,5.6226,5.7472,5.8627,5.9636,6.0207,6.0346,5.9853,6.0091,6.0499,6.0946,6.1119,6.1753,6.3017,6.3672,6.4746,6.6428,6.6852,6.742,6.8254,6.8708,6.9195,6.9732,7.0025,7.0246,7.034,7.0502,7.0605,7.0595,7.0893,7.0625,6.9906,6.9622,6.8876,6.7861,6.7387,6.7028,6.6791,6.6791,6.6791,6.6791,6.6791,6.6034,6.4952,6.4681,6.3632,6.24,6.24,6.2076,6.1535,6.0757,6.0013,5.9235,5.849,5.8084,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.79,5.7782,5.7363,5.7109,5.6619,5.5756,5.5213,5.4635,5.387,5.3817,5.3784,5.3601,5.3635,5.3701,5.3768,5.3833,5.3913,5.4044,5.4191,5.4301,5.4441,5.4567,5.4784,5.5104,5.5417,5.5765,5.6083,5.6311,5.6541,5.6832,5.691,5.7102,5.7412,5.7583,5.7909,5.2601,5.5039,5.6694,5.7274,5.7855,5.8056,5.7025,5.6447,5.5801,5.476,5.3163,5.1947,5.2007,5.2007,5.2665,5.4725,5.6959,5.9051,6.0738,6.1798,6.2138,6.1474,6.1853,6.2297,6.2612,6.3317,6.4023,6.4596,6.459,6.5625,6.8039,6.8211,6.8584,6.934,6.9637,7.0016,7.0538,7.0802,7.103,7.1289,7.1289,7.1289,7.1289,7.1289,7.0939,7.0251,7.0217,6.935,6.7963,6.7929,6.7489,6.6791,6.6791,6.6791,6.6791,6.6791,6.6339,6.5581,6.485,6.3666,6.2468,6.2415,6.24,6.2265,6.1535,6.0757,6.0013,5.9216,5.849,5.7967,5.7934,5.79,5.79,5.79,5.79,5.79,5.79,5.7918,5.7972,5.8205,5.7646,5.7206,5.7414,5.6352,5.5197,5.4441,5.4465,5.4386,5.3816,5.3915,5.4094,5.4221,5.4269,5.4412,5.471,5.4757,5.485,5.4983,5.5299,5.5572,5.5851,5.6166,5.6555,5.701,5.7023,5.7163,5.7425,5.7425,5.7547,5.7822,5.7858,5.8357,5.4284,5.6723,5.861,5.8755,5.8666,5.8282,5.7053,5.5168,5.3485,5.2704,5.0392,4.8716,4.9194,4.9284,5.0161,5.2809,5.5181,5.7623,6.0437,6.1829,6.2892,6.3849,6.4252,6.4799,6.5673,6.5935,6.6564,6.7814,6.7369,6.7688,6.9211,6.9517,6.9907,7.0469,7.0561,7.0756,7.1075,7.1176,7.1244,7.1289,7.1289,7.1289,7.1289,7.1289,7.121,7.1007,7.0432,6.9654,6.8741,6.8132,6.7489,6.6791,6.6791,6.6791,6.6791,6.6791,6.6339,6.5581,6.485,6.4005,6.3125,6.2584,6.24,6.2265,6.1535,6.1163,6.0723,5.9385,5.8844,5.8592,5.8017,5.79,5.79,5.79,5.79,5.7936,5.8081,5.8099,5.8207,5.8526,5.817,5.7857,5.7907,5.7293,5.652,5.574,5.5777,5.5525,5.4436,5.4447,5.4539,5.457,5.4892,5.5134,5.5209,5.5534,5.5794,5.5915,5.6111,5.6344,5.6674,5.6858,5.7125,5.7425,5.7534,5.7667,5.7857,5.7857,5.7892,5.795,5.8562,5.8977,5.6142,5.7971,5.9335,5.9452,5.8662,5.7428,5.5824,5.3398,5.1001,4.9303,4.6902,4.5265,4.5624,4.6163,4.7709,5.1318,5.4385,5.7672,6.1399,6.3272,6.4666,6.5885,6.6362,6.6906,6.7631,6.7973,6.8652,6.981,6.8978,6.8946,7.0146,7.041,7.0664,7.1052,7.1086,7.1154,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0872,7.0094,6.9079,6.8605,6.7793,6.6791,6.6791,6.6791,6.6791,6.6791,6.6542,6.6068,6.5324,6.4613,6.3802,6.2719,6.24,6.2313,6.1907,6.1569,6.1061,5.9844,5.925,5.881,5.8084,5.79,5.79,5.79,5.7954,5.8081,5.8294,5.8438,5.8684,5.9097,5.9135,5.8961,5.8647,5.8414,5.8037,5.7264,5.7313,5.7031,5.5994,5.5439,5.5169,5.5229,5.5563,5.5865,5.6007,5.6298,5.6564,5.6674,5.6819,5.6987,5.7251,5.7388,5.7547,5.7786,5.7857,5.811,5.8547,5.8547,5.8731,5.9061,5.9526,5.993,5.7942,5.8958,5.9481,5.9566,5.81,5.6067,5.3824,5.119,4.8402,4.5502,4.3289,4.1901,4.1991,4.303,4.532,4.9686,5.3707,5.7873,6.2319,6.4796,6.6509,6.7541,6.8146,6.8649,6.8978,6.9578,7.0232,7.0905,6.9969,6.9856,7.0882,7.0939,7.1052,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0534,6.9248,6.9147,6.8267,6.6948,6.6825,6.6791,6.6791,6.6791,6.6791,6.669,6.5967,6.5222,6.4377,6.299,6.2502,6.24,6.24,6.1941,6.1264,6.0389,5.9678,5.9001,5.8191,5.7972,5.7972,5.8009,5.8135,5.8314,5.8562,5.8944,5.9368,5.983,6.018,6.0238,5.9582,5.9698,5.96,5.8866,5.8874,5.8659,5.7922,5.6787,5.5993,5.6035,5.6257,5.6555,5.6842,5.701,5.715,5.7264,5.74,5.7522,5.7631,5.7848,5.8039,5.8143,5.8253,5.8657,5.938,5.938,5.971,6.0419,6.0529,6.0933,5.89,5.9801,6.018,5.9156,5.7351,5.5097,5.1997,4.8588,4.5481,4.3349,4.0864,3.9278,3.9828,4.0995,4.3055,4.662,5.0941,5.543,6.0013,6.3299,6.6046,6.8234,6.9117,6.9812,7.0463,7.0623,7.0849,7.1188,7.1019,7.1019,7.1222,7.1244,7.1244,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0804,6.9958,6.935,6.8538,6.7658,6.7028,6.6791,6.6791,6.6791,6.6791,6.669,6.5967,6.5222,6.4478,6.3579,6.2888,6.24,6.24,6.2333,6.1946,6.071,6.0257,5.9886,5.8707,5.8401,5.8403,5.8544,5.8614,5.8737,5.9233,5.9844,6.0356,6.045,6.0818,6.1081,6.0938,6.1113,6.0992,6.0202,6.0184,5.9993,5.9177,5.821,5.737,5.6702,5.6984,5.7239,5.7289,5.751,5.7655,5.7679,5.7834,5.7916,5.7939,5.8611,5.8952,5.8976,5.9636,6.0052,6.0187,6.0187,6.0272,6.0407,6.108,6.1484,5.8839,5.9448,5.9706,5.8847,5.6646,5.3827,5.0726,4.7022,4.3419,4.0397,3.8529,3.7404,3.7375,3.902,4.1486,4.4941,4.9326,5.3972,5.8707,6.2646,6.588,6.8082,6.9546,7.0526,7.087,7.1007,7.1176,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0872,7.0128,6.9417,6.8639,6.7827,6.7096,6.6791,6.6791,6.6791,6.6791,6.6757,6.6406,6.5527,6.4546,6.4208,6.3294,6.242,6.2518,6.2635,6.2512,6.1596,6.1165,6.0745,5.9735,5.9254,5.9029,5.9114,5.9333,5.9664,6.0065,6.0584,6.0983,6.1108,6.1372,6.1559,6.1559,6.1756,6.1778,6.138,6.1453,6.1257,6.0435,5.9999,5.9258,5.7872,5.8018,5.8239,5.8239,5.8786,5.915,5.915,5.9209,5.9245,5.9245,5.96,5.982,5.982,6.0187,6.0603,6.1006,6.1006,6.1227,6.1655,6.2022,6.2218,5.8422,5.894,5.9103,5.8374,5.5783,5.2554,4.9359,4.5454,4.1455,3.7926,3.6596,3.5925,3.537,3.7332,4.0082,4.3297,4.7536,5.2099,5.6878,6.1371,6.4972,6.7123,6.9323,7.068,7.0748,7.1075,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0872,7.0128,6.9417,6.8639,6.7827,6.7096,6.6791,6.6791,6.6791,6.6791,6.6791,6.6791,6.5852,6.4641,6.4641,6.3679,6.2498,6.2693,6.2923,6.3018,6.2522,6.2157,6.1745,6.0875,6.0329,5.9937,5.9795,6.0164,6.0605,6.0863,6.119,6.1516,6.1644,6.1812,6.1923,6.1923,6.2114,6.2225,6.2225,6.2344,6.2217,6.156,6.1455,6.0883,5.9393,5.9298,5.9298,5.9298,5.9992,6.0419,6.0419,6.0419,6.0419,6.0419,6.0566,6.0676,6.0676,6.0811,6.1227,6.1851,6.1851,6.2181,6.2793,6.2793,6.2793,5.8,5.8894,5.9116,5.7304,5.4598,5.1332,4.7467,4.304,3.9152,3.7015,3.5565,3.4683,3.4607,3.6386,3.8529,4.0649,4.4398,4.8656,5.324,5.8113,6.2212,6.5027,6.8058,6.9996,7.0252,7.0883,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0872,7.0128,6.9417,6.8639,6.7827,6.7096,6.6791,6.6791,6.6791,6.6791,6.6791,6.6791,6.5955,6.4883,6.4883,6.3877,6.2693,6.2904,6.3212,6.3377,6.3029,6.3101,6.3004,6.1712,6.1431,6.1357,6.0823,6.0953,6.1241,6.127,6.1608,6.1928,6.1942,6.2158,6.2318,6.2318,6.2381,6.2394,6.2394,6.2488,6.2554,6.2481,6.1935,6.1533,6.1325,6.0677,6.0285,6.0285,6.0334,6.0419,6.0419,6.0419,6.0419,6.0419,6.108,6.1496,6.1496,6.2218,6.2609,6.2683,6.2683,6.2719,6.2793,6.2793,6.2793,5.6258,5.7384,5.7716,5.6165,5.3674,5.0548,4.6621,4.2761,3.923,3.6477,3.5557,3.5158,3.483,3.6213,3.806,4.0096,4.3395,4.7093,5.1094,5.6408,6.0697,6.2868,6.6394,6.8869,6.9485,7.0195,7.0838,7.1255,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.0872,7.0128,6.9417,6.8639,6.7827,6.7096,6.6791,6.6791,6.6791,6.6791,6.6791,6.6791,6.626,6.5535,6.5179,6.4663,6.4098,6.3632,6.3879,6.4323,6.4319,6.4315,6.414,6.3614,6.301,6.2304,6.1688,6.1692,6.1832,6.1832,6.2037,6.2225,6.2225,6.2354,6.242,6.242,6.2462,6.2513,6.2513,6.2629,6.2717,6.2717,6.2511,6.2328,6.2328,6.1594,6.1117,6.1117,6.1582,6.1838,6.1838,6.1838,6.1838,6.1838,6.2132,6.2328,6.2328,6.2646,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,5.3868,5.5147,5.5623,5.4176,5.1982,4.9164,4.544,4.2065,3.891,3.6222,3.5599,3.5471,3.5202,3.6213,3.7776,3.9817,4.2487,4.5615,4.9405,5.4589,5.8795,6.0912,6.4759,6.7624,6.8639,6.9823,7.0737,7.1255,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1075,7.0567,6.9823,6.9045,6.8267,6.7523,6.6994,6.6791,6.6791,6.6791,6.6854,6.6896,6.6896,6.6521,6.5963,6.5632,6.5454,6.5233,6.462,6.4773,6.5176,6.5393,6.524,6.5031,6.5136,6.4173,6.3056,6.2599,6.2367,6.2238,6.2238,6.2357,6.2449,6.2449,6.2475,6.25,6.25,6.259,6.2667,6.2667,6.273,6.2793,6.2793,6.2793,6.2793,6.2793,6.2291,6.1961,6.1961,6.2462,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,5.0837,5.2217,5.2828,5.1088,4.9117,4.6801,4.3667,4.037,3.7626,3.6293,3.5567,3.5263,3.5476,3.6258,3.7542,3.9483,4.1276,4.3881,4.8027,5.2277,5.6122,5.927,6.3242,6.6292,6.776,6.9958,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1255,7.0534,6.9789,6.9045,6.8233,6.7489,6.6791,6.6791,6.6791,6.6791,6.6791,6.6972,6.718,6.718,6.6705,6.6126,6.6243,6.6039,6.5732,6.5907,6.5844,6.5748,6.5922,6.5785,6.5663,6.5924,6.4803,6.36,6.36,6.2967,6.242,6.242,6.25,6.2603,6.2603,6.2705,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,4.7355,4.8595,4.9163,4.8296,4.6637,4.4634,4.2377,4.0021,3.7945,3.6738,3.6415,3.6488,3.6846,3.7272,3.8216,4.0164,4.2284,4.4931,4.8447,5.2941,5.6843,5.9497,6.4167,6.759,6.8605,7.0297,7.1289,7.1289,7.1289,7.1289,7.1289,7.1434,7.1434,7.1312,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1289,7.1255,7.05,6.9755,6.9045,6.8233,6.7574,6.7077,6.7077,6.718,6.727,6.727,6.7414,6.7618,6.7759,6.7564,6.7234,6.7003,6.6854,6.6724,6.6423,6.6446,6.661,6.6772,6.6772,6.6602,6.6249,6.5354,6.4466,6.4059,6.3302,6.2667,6.2667,6.2705,6.273,6.273,6.2768,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,4.3139,4.4379,4.4971,4.4945,4.3674,4.2137,4.0949,3.9314,3.781,3.7109,3.6914,3.7055,3.7674,3.8208,3.9188,4.1074,4.3287,4.6023,4.9559,5.365,5.776,6.161,6.5803,6.8673,6.9451,7.0601,7.1289,7.1289,7.1379,7.1412,7.1412,7.1634,7.17,7.158,7.158,7.158,7.158,7.158,7.158,7.158,7.1457,7.1412,7.1412,7.1334,7.1142,7.0838,7.0094,6.935,0.0,6.7934,6.7463,6.7201,6.7366,6.7469,6.7496,6.7658,6.7859,6.8064,6.8381,6.8236,6.787,6.7825,6.7625,6.7314,6.7019,6.7011,6.7097,6.7252,6.7294,6.7227,6.6852,6.594,6.5,6.4651,6.3649,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,0.0,3.9835,4.0571,4.1313,4.0563,3.9582,3.944,3.8365,0.0,3.735,3.7074,3.7106,3.8015,3.9012,4.0322,4.2089,4.4258,4.7108,5.1159,5.4693,5.9112,6.5067,6.7793,6.9451,7.015,7.0872,7.1312,7.1334,7.1501,7.16,7.1622,7.1876,7.2007,7.2007,7.2029,7.2029,7.1985,7.1985,7.1985,7.1985,7.1732,7.1622,7.1622,7.1412,7.0928,7.0172,6.9439,6.8661,6.787,6.7445,6.7263,6.7325,6.7719,6.7759,6.7658,6.8024,6.8319,6.8571,6.9106,6.8752,6.8115,6.8573,6.8153,6.7547,6.766,6.7474,6.7266,6.7456,6.7497,6.7524,6.766,6.6549,6.5362,6.5288,6.4077,6.2866,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,3.5293,0.0,3.8487,3.9523,3.9281,3.8715,0.0,3.7787,3.707,3.6717,3.702,3.7611,3.8603,3.9467,4.0729,4.2929,4.5295,4.8177,5.2132,5.8429,6.36,6.6216,6.8538,6.9992,7.0184,7.0872,7.1379,7.1512,7.1578,7.1688,7.1898,7.2115,7.2245,7.2245,7.2437,7.2352,7.1985,7.1985,7.1985,7.1985,7.1942,7.192,7.1898,7.1622,7.1138,7.0391,6.9644,6.8897,6.8158,6.7803,6.7839,6.8143,6.8397,6.8551,6.8686,6.8932,6.9157,6.938,6.992,6.9454,6.8532,6.7971,6.7688,6.7547,6.766,6.7647,6.7606,6.7633,6.7647,6.766,6.7687,6.6966,6.6072,6.5435,6.453,6.3613,6.2939,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,3.3853,3.531,3.6769,3.8636,3.8466,3.8034,3.87,3.8112,3.7443,3.7481,3.7902,3.86,3.9803,4.1205,4.2991,4.5377,4.8011,5.1479,5.6484,6.2358,6.6542,6.7726,6.9553,7.0703,7.0703,7.113,7.1501,7.16,7.1798,7.1973,7.2137,7.2373,7.248,7.248,7.2628,7.2565,7.2309,7.2309,7.2309,7.2309,7.2202,7.2137,7.2137,7.1523,7.0834,7.0119,6.9441,6.8794,6.822,6.8315,6.8532,6.8857,6.9196,6.9307,6.9324,6.9706,6.9902,6.999,7.0265,6.9694,6.8721,6.7872,6.7579,6.7593,6.7674,6.77,6.77,6.77,6.77,6.77,6.77,6.6843,6.5852,6.5398,6.4383,6.3392,6.2903,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.283,6.2892,6.2892,6.2917,3.3539,3.4666,3.5926,3.8592,3.852,3.8185,3.9624,3.8995,3.8286,3.8791,3.9177,3.9866,4.1304,4.3484,4.589,4.841,5.1628,5.5831,6.1666,6.5592,6.8233,6.9147,7.0466,7.1312,7.1356,7.1523,7.1622,7.171,7.2059,7.2331,7.2373,7.2586,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.248,7.2305,7.2146,7.1302,7.043,6.9575,6.9213,6.8713,6.828,6.8932,6.9289,6.9544,7.0078,7.0096,6.992,7.0461,7.0541,7.0356,7.0118,6.953,6.8788,6.7958,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.6586,6.5435,6.5325,6.4114,6.2976,6.2829,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.283,6.283,6.2892,6.3039,6.3039,6.3087,3.4127,3.59,3.7538,3.9818,4.0761,4.1135,4.1001,4.0334,3.9666,3.9321,4.0208,4.1498,4.294,4.5208,4.7744,5.0643,5.542,6.0069,6.3687,6.6352,6.8436,6.9857,7.077,7.1379,7.1534,7.1578,7.1754,7.2146,7.2266,7.2416,7.2628,7.2671,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2649,7.2284,7.1629,7.1463,7.0616,6.9279,6.9555,6.9362,6.8932,6.9635,7.0148,7.0526,7.0894,7.1009,7.0993,7.1256,7.0902,7.0185,6.9194,6.8888,6.8788,6.7958,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.699,6.6145,6.5472,6.4567,6.3686,6.2976,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2855,6.2978,6.2978,6.3039,6.3159,6.3159,6.3171,3.3797,3.6524,3.9247,4.1547,4.2112,4.2252,4.2846,4.2771,4.2514,4.227,4.3378,4.4821,4.6295,4.8529,5.1611,5.599,6.0252,6.3687,6.554,6.7726,6.9383,7.0116,7.0949,7.1501,7.16,7.182,7.2059,7.2288,7.2437,7.2565,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2278,7.1905,7.1649,7.0833,7.0218,6.9842,6.9823,6.9861,6.9973,7.0611,7.1045,7.1304,7.1542,7.1589,7.149,7.1225,7.0387,6.934,6.8911,6.8536,6.8201,6.7811,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.6769,6.5778,6.5398,6.4347,6.3282,6.2903,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2867,6.2904,6.2904,6.2904,6.2941,6.3002,6.3002,6.3002,6.3002,6.3002,6.3039,6.3099,6.3099,6.3171,6.3289,6.3289,6.3361,3.358,3.6724,4.0015,4.2777,4.3431,4.3761,4.5246,4.5802,4.6062,4.6194,4.7288,4.8614,4.994,5.2475,5.5968,6.081,6.4059,6.6271,6.7197,6.8977,7.0263,7.0432,7.1128,7.1622,7.1688,7.2038,7.2331,7.2395,7.2586,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2623,7.2416,7.2458,7.2478,7.2478,7.1857,7.1517,7.1379,7.0351,7.0037,7.0317,7.015,7.0407,7.0911,7.1415,7.1749,7.1903,7.1872,7.1653,7.1308,7.0624,6.9644,6.866,6.8637,6.8201,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.6512,6.5288,6.5288,6.4004,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2818,6.288,6.3039,6.3146,6.3228,6.3181,6.3218,6.3312,6.3347,6.3359,6.3359,6.3336,6.3336,6.3359,6.3301,6.3373,6.3474,6.3477,6.3511,3.3919,3.6333,3.902,4.2661,4.5088,4.6958,4.8448,4.9309,4.9988,5.0668,5.1463,5.2279,5.3203,5.6657,6.0237,6.2896,6.5236,6.7252,6.8741,6.9654,7.0432,7.112,7.1445,7.1688,7.1942,7.218,7.2416,7.2649,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2692,7.2347,7.1567,7.1773,7.1855,7.1855,7.1786,7.1245,7.0333,7.0518,7.0447,7.0149,7.068,7.111,7.1463,7.1821,7.2099,7.2211,7.1588,7.0912,7.0141,6.9334,6.8967,6.8775,6.8017,6.7737,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.6512,6.5288,6.5288,6.4004,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2892,6.3135,6.3356,6.3602,6.3904,6.3771,6.365,6.3661,6.3781,6.3835,6.3835,6.3727,6.3716,6.3835,6.3643,6.3635,6.3758,6.3635,6.3579,3.4693,3.701,3.947,4.2789,4.5964,4.8531,4.9541,5.1395,5.3138,5.4032,5.5148,5.6254,5.7379,5.9967,6.2447,6.393,6.6474,6.8436,6.9011,7.0128,7.1018,7.1445,7.17,7.1942,7.2159,7.2416,7.2586,7.2692,7.2692,7.2692,7.2692,7.2692,7.2485,7.1967,7.1967,7.165,7.1012,7.1094,7.1117,7.1116,7.09,7.0682,7.0504,7.0396,7.0484,7.0828,7.1236,7.1651,7.2009,7.2233,7.2058,7.1602,7.0852,7.0073,6.9339,6.8995,6.8568,6.8091,6.7811,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.759,6.71,6.6953,6.6953,6.6953,6.6145,6.5178,6.4677,6.3649,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.283,6.2917,6.311,6.338,6.3683,6.3904,6.4172,6.4474,6.4241,6.4121,6.4182,6.4321,6.435,6.4251,6.4271,6.4241,6.4216,6.4036,6.3979,6.3985,6.3802,6.3714,3.5391,3.7648,4.0067,4.3731,4.7287,5.0323,5.2016,5.4254,5.6302,5.7453,5.8589,5.958,6.0429,6.2076,6.3573,6.4458,6.7117,6.9113,6.9113,7.0364,7.1345,7.1578,7.1854,7.2072,7.2288,7.2544,7.2692,7.2692,7.2692,7.2692,7.2692,7.245,7.2071,7.1498,7.1339,7.0957,7.0372,7.0595,7.0622,7.0411,7.0428,7.0573,7.0789,7.064,7.0878,7.1458,7.1775,7.2084,7.2351,7.2196,7.149,7.0499,6.9926,6.9229,6.8531,6.8531,6.8164,6.77,6.77,6.77,6.77,6.77,6.77,6.7664,6.7407,6.7333,6.7136,6.6366,6.6109,6.6072,6.5815,6.5338,6.4787,6.4249,6.3429,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2855,6.2892,6.3002,6.3181,6.3468,6.3798,6.4121,6.4388,6.4687,6.4968,6.4827,6.4701,6.4713,6.487,6.4896,6.4795,6.4792,6.473,6.4605,6.4406,6.4249,6.4176,6.3921,6.378,3.608,3.8208,4.0575,4.5664,4.9294,5.2576,5.6258,5.8225,5.9658,6.1137,6.175,6.205,6.2104,6.2884,6.3748,6.4512,6.7151,6.9113,6.9113,7.0398,7.1401,7.1578,7.1854,7.2072,7.2288,7.2544,7.2692,7.2692,7.2692,7.2692,7.2692,7.1933,7.1498,7.1484,7.0963,7.0357,6.9594,7.0316,7.0376,6.9814,7.0611,7.0996,7.1012,7.1352,7.1682,7.2018,7.2204,7.2351,7.2422,7.16,7.0353,6.8885,6.8885,6.8385,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.7554,6.6733,6.6476,6.6329,6.5508,6.5288,6.5105,6.4323,6.4103,6.4103,6.4103,6.3429,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2842,6.299,6.3123,6.3336,6.3672,6.3873,6.4141,6.4502,6.4757,6.503,6.536,6.5523,6.5501,6.5213,6.5337,6.5421,6.5413,6.5253,6.5174,6.5093,6.4714,6.4464,6.4385,6.3995,6.3791,3.8507,4.0956,4.3402,4.6997,5.0627,5.4122,5.7352,5.9594,6.1589,6.3776,6.4394,6.4464,6.3958,6.4505,6.529,6.6034,6.7827,6.9282,6.9789,7.0824,7.1612,7.1854,7.2094,7.2309,7.2565,7.2132,7.1864,7.1864,7.1381,7.107,7.107,7.1006,7.0687,7.0188,7.0282,7.0123,6.9601,7.006,7.0449,7.0775,7.1268,7.1447,7.1352,7.1697,7.1973,7.2204,7.2365,7.2159,7.1564,7.0169,6.9325,6.8848,6.8274,6.7921,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.7333,6.6806,6.6549,6.6109,6.5485,6.4677,6.4457,6.4273,6.3429,6.3196,6.3196,6.3196,6.2976,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.283,6.2929,6.3014,6.3183,6.3448,6.3661,6.3851,6.4159,6.4464,6.4748,6.4955,6.5205,6.5435,6.5685,6.5733,6.5667,6.5501,6.5667,6.5688,6.5537,6.5604,6.5523,6.539,6.5077,6.4848,6.466,6.4216,6.3974,3.9892,4.2803,4.5639,4.9224,5.2803,5.6417,6.0073,6.2099,6.3712,6.5547,6.5816,6.5561,6.5121,6.5392,6.5852,6.6305,6.7624,6.8774,6.9214,7.0122,7.0837,7.1054,7.1289,7.1523,7.1774,7.1346,7.105,7.105,7.0717,7.0537,7.0537,7.0506,7.0317,6.9865,6.9995,7.0,6.9813,7.0304,7.0845,7.1395,7.1447,7.1438,7.1445,7.1947,7.2094,7.1889,7.1645,7.1101,7.0279,6.9288,6.8715,6.8385,6.7884,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.715,6.6439,6.6109,6.5448,6.464,6.3833,6.3576,6.3466,6.2939,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2842,6.2929,6.3051,6.3312,6.3584,6.3942,6.4131,6.4359,6.4651,6.4943,6.5174,6.5337,6.5516,6.5674,6.5826,6.584,6.5813,6.5735,6.5852,6.5821,6.5735,6.5813,6.578,6.5625,6.5314,6.5044,6.4886,6.4356,6.4011,4.0659,4.4138,4.7503,5.1999,5.5647,5.925,6.3592,6.5044,6.5703,6.6614,6.6271,6.5818,6.5818,6.5818,6.5797,6.5886,6.7015,6.7929,6.8018,6.882,6.9476,6.9709,6.9974,7.0203,7.0394,7.0366,7.0331,7.0331,7.0485,7.0536,7.0536,7.0322,7.0186,7.0205,7.0076,7.0079,7.0235,7.0855,7.1318,7.1629,7.1216,7.1068,7.1233,7.1931,7.1857,7.116,7.033,6.9596,6.8885,6.8811,6.8348,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.7627,6.759,6.759,6.7517,6.693,6.6145,6.5398,6.4604,6.3796,6.3013,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2929,6.3087,6.3265,6.3661,6.4077,6.4406,6.4614,6.4839,6.5101,6.5314,6.5503,6.5601,6.576,6.5833,6.5897,6.5904,6.5904,6.5904,6.5904,6.5904,6.5904,6.5904,6.5865,6.5793,6.5413,6.5125,6.4981,6.4395,6.4021,4.2332,4.6173,5.0018,5.3901,5.8137,6.1936,6.4106,6.5114,6.5857,6.6622,6.6656,6.6576,6.6576,6.6576,6.6745,6.732,6.7692,6.8196,6.8977,6.9395,6.9709,6.9974,7.0189,7.0353,7.0394,7.0004,6.9758,6.9758,6.9501,6.9364,6.9364,6.9749,7.0007,7.0115,7.0531,7.0913,7.1207,7.1003,7.1016,7.1209,7.0592,7.0339,7.0367,7.055,7.0513,7.0293,6.9522,6.9082,6.8862,6.8201,6.7847,6.77,6.77,6.77,6.77,6.77,6.77,6.7627,6.699,6.6769,6.6659,6.6035,6.5264,6.458,6.442,6.3759,6.305,6.2866,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.283,6.2941,6.3063,6.3359,6.391,6.4219,6.4492,6.49,6.5035,6.5174,6.5405,6.5597,6.5733,6.5767,6.5833,6.5885,6.5897,6.5904,6.5904,6.5904,6.5904,6.5904,6.5904,6.5904,6.5865,6.5793,6.551,6.5228,6.4981,6.4435,6.4067,4.1545,4.5853,5.0636,5.5828,5.9768,6.2685,6.3835,6.4647,6.529,6.5662,6.6284,6.6791,6.6791,6.6791,6.6927,6.732,6.7387,6.7586,6.826,6.8525,6.8733,6.896,6.917,6.9291,6.9291,6.9145,6.8921,6.8636,6.8674,6.8604,6.8398,6.8943,6.9334,6.9465,6.9957,7.0341,7.0587,7.0441,7.0463,7.0621,6.9884,6.9302,6.8949,6.9339,6.9522,6.9486,6.8678,6.8311,6.8274,6.7884,6.77,6.77,6.77,6.77,6.7664,6.726,6.715,6.699,6.6219,6.5925,6.5852,6.5435,6.4751,6.4103,6.4103,6.3503,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2855,6.3051,6.3402,6.3857,6.4367,6.4651,6.4748,6.464,6.4741,6.486,6.5012,6.5127,6.5385,6.5808,6.5878,6.5904,6.5904,6.5513,6.5282,6.5282,6.5282,6.5474,6.5897,6.5865,6.5813,6.5701,6.5398,6.5147,6.4912,6.4377,6.4073,3.9879,4.5009,5.0887,5.7101,6.0317,6.2231,6.3165,6.3909,6.4525,6.4722,6.5623,6.6419,6.6419,6.6461,6.6482,6.644,6.6482,6.6607,6.6827,6.7018,6.7241,6.7461,6.7625,6.7743,6.7743,6.8016,6.7968,6.751,6.8044,6.8238,6.7852,6.843,6.878,6.8951,6.924,6.9478,6.9675,6.971,6.9778,6.9889,6.9082,6.8348,6.7737,6.8385,6.8678,6.8678,6.7994,6.77,6.77,6.77,6.7627,6.748,6.748,6.7407,6.7223,6.6549,6.6292,6.6182,6.5375,6.5081,6.5068,6.4921,6.442,6.3882,6.3882,6.3392,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2855,6.299,6.3289,6.3878,6.4406,6.4723,6.4879,6.4756,6.4259,6.4165,6.4236,6.4296,6.4321,6.4666,6.5397,6.5436,6.5436,6.5436,6.4782,6.4397,6.4397,6.4397,6.4705,6.5436,6.5673,6.567,6.5336,6.5038,6.4656,6.4307,6.3836,6.3578,3.8849,4.5824,5.2672,5.6206,5.8761,6.0829,6.2426,6.3401,6.418,6.5182,6.5133,6.4884,6.4884,6.5047,6.5108,6.4905,6.5188,6.5429,6.5449,6.5647,6.5862,6.6129,6.6286,6.6381,6.6381,6.685,6.7215,6.7306,6.7964,6.8359,6.8462,6.8987,6.9337,6.9485,6.9726,6.9899,7.0054,6.9371,6.9054,6.9045,6.8238,6.7811,6.77,6.7811,6.7847,6.7847,6.7737,6.77,6.77,6.77,6.7297,6.6659,6.6659,6.6219,6.5632,6.5508,6.5472,6.5362,6.453,6.4237,6.4127,6.338,6.305,6.2976,6.2976,6.2903,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.3075,6.3451,6.3819,6.4281,6.4741,6.5085,6.468,6.4346,6.446,6.3809,6.3386,6.3449,6.3462,6.3506,6.3622,6.366,6.366,6.366,6.3545,6.3468,6.3468,6.3468,6.3545,6.3622,6.5058,6.5322,6.4281,6.4021,6.3334,6.2287,6.1998,6.1765,3.8544,4.453,5.0033,5.3416,5.638,5.8862,6.0576,6.1667,6.2663,6.3717,6.3799,6.3989,6.5079,6.5338,6.5378,6.528,6.5417,6.5572,6.5688,6.5673,6.5788,6.6145,6.6126,6.6201,6.6389,6.688,6.7147,6.71,6.7588,6.7899,6.7815,6.816,6.839,6.8545,6.8628,6.8697,6.8765,6.8385,6.8238,6.8201,6.7884,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.7664,6.7223,6.6806,6.6476,6.5999,6.5632,6.5251,6.4787,6.464,6.4494,6.3649,6.3392,6.3319,6.2903,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.283,6.299,6.3402,6.3867,6.4212,6.4659,6.4916,6.4657,6.4482,6.4063,6.3207,6.2791,6.2597,6.2627,6.2627,6.282,6.3275,6.3314,6.3314,6.3314,6.2897,6.2627,6.2627,6.2627,6.2609,6.2573,6.3661,6.3939,6.3291,6.2981,6.2471,6.1836,6.1521,6.1347,3.7582,4.2117,4.6327,5.025,5.3651,5.6576,5.8716,6.0183,6.1362,6.251,6.284,6.3363,6.4928,6.5315,6.5425,6.5368,6.5443,6.5555,6.5667,6.5521,6.5558,6.5924,6.5887,6.5978,6.6338,6.6741,6.697,6.6853,6.7235,6.7418,6.7289,6.7456,6.7593,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.759,6.7407,6.7627,6.759,6.737,6.6733,6.6256,6.5815,6.5228,6.4848,6.4591,6.398,6.3759,6.3686,6.3013,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2818,6.2941,6.323,6.3683,6.4131,6.453,6.4787,6.4764,6.4329,6.4044,6.3438,6.217,6.1873,6.1787,6.1787,6.1787,6.2018,6.2621,6.266,6.266,6.266,6.2095,6.1787,6.1787,6.1787,6.1745,6.1659,6.2076,6.2304,6.2338,6.1923,6.1516,6.1091,6.0791,6.0646,3.5171,3.8587,4.2597,4.718,5.0748,5.4008,5.7387,5.9455,6.1061,6.2579,6.2901,6.3033,6.344,6.4029,6.4427,6.4232,6.4498,6.4673,6.4533,6.4498,6.4551,6.4742,6.495,6.5169,6.5464,6.5947,6.6366,6.6697,6.7019,6.7289,6.7456,6.7606,6.7687,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.77,6.7297,6.6586,6.737,6.726,6.6549,6.6512,6.5595,6.4213,6.4176,6.3649,6.2903,6.2866,6.2866,6.2866,6.2829,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2904,6.3074,6.3411,6.3766,6.4202,6.4792,6.4494,6.4211,6.4435,6.3194,6.2204,6.2095,6.1364,6.0864,6.0864,6.0864,6.0864,6.0935,6.0935,6.0935,6.0935,6.0896,6.0864,6.0864,6.0864,6.0798,6.0668,6.046,6.0661,6.1261,6.094,6.0229,5.9154,5.8923,5.8846,3.2307,3.552,3.9257,4.2879,4.6996,5.0798,5.33,5.6174,5.8844,6.0595,6.1512,6.2364,6.3642,6.3856,6.387,6.3805,6.3962,6.4057,6.3918,6.377,6.3722,6.3857,6.4363,6.4824,6.5186,6.5985,6.6438,6.627,6.6458,6.6418,6.609,6.6198,6.6509,6.7024,6.7152,6.7412,6.7941,6.7886,6.7834,6.7834,6.7226,6.6916,6.6916,6.6402,6.5999,6.5742,6.6035,6.5999,6.5692,6.5154,6.4604,6.4029,6.3466,6.305,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2818,6.2904,6.2929,6.2953,6.3026,6.3159,6.3234,6.3099,6.3403,6.3657,6.3564,6.3523,6.3379,6.304,6.2462,6.1903,6.1325,6.0979,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0746,6.066,6.0558,6.0261,6.0152,6.024,5.9906,5.9477,5.8912,5.876,5.8687,3.0794,3.3366,3.6423,3.9589,4.3404,4.7154,4.9889,5.3183,5.624,5.8416,5.9713,6.0899,6.2388,6.2534,6.2767,6.3687,6.3904,6.3934,6.3866,6.3681,6.3606,6.3702,6.4132,6.4591,6.4968,6.5663,6.6013,6.5788,6.586,6.5697,6.5325,6.543,6.5752,6.6306,6.6407,6.6703,6.7257,6.7168,6.7104,6.7102,6.6447,6.6148,6.6072,6.5545,6.5141,6.4897,6.4897,6.4897,6.4861,6.4323,6.3906,6.3613,6.3013,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2855,6.2892,6.2953,6.3039,6.3063,6.3099,6.3218,6.3125,6.297,6.282,6.2947,6.3057,6.2863,6.2807,6.2631,6.2166,6.1864,6.1441,6.0864,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0728,6.0617,6.0453,6.0181,5.992,5.963,5.9346,5.9108,5.8889,5.8739,5.8687,0.0,0.0,0.0,3.7433,4.0168,4.3176,4.7442,5.0613,5.3382,5.61,5.7552,5.8603,5.9579,5.9978,6.1038,6.3764,6.42,6.4237,6.4259,6.413,6.4087,6.4244,6.4259,6.4422,6.474,6.4938,6.5084,6.5238,6.5251,6.5251,6.5215,6.5393,6.5495,6.5558,6.5608,6.5595,6.5607,6.5632,6.557,6.5519,6.5469,6.5393,6.5264,6.5251,6.4787,6.4066,6.4066,6.4066,6.4066,6.4066,6.3576,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.283,6.2978,6.3099,6.3183,6.3183,6.3183,6.323,6.3322,6.278,6.2363,6.2691,6.2494,6.2373,6.2749,6.234,6.1971,6.2044,6.1358,6.0781,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0728,6.0597,6.0307,6.0106,5.9844,5.9512,5.9319,5.9108,5.8889,5.8739,5.8698,3.1606,0.0,0.0,0.0,0.0,0.0,4.4073,4.7583,5.1,5.3243,5.4894,5.66,5.8823,5.9286,5.981,6.1248,6.198,6.2526,6.302,6.304,6.2987,6.292,6.351,6.3968,6.4061,6.4791,6.4992,6.4457,6.442,6.4163,6.3527,6.4267,6.4782,6.4997,6.5651,6.5948,6.5973,6.5803,6.5742,6.5694,6.4918,6.4548,6.4474,6.3785,6.338,6.316,6.316,6.316,6.316,6.316,6.3013,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2818,6.2917,6.2941,6.2978,6.3099,6.3159,6.3206,6.3301,6.288,6.2507,6.2669,6.1704,6.1093,6.1839,6.171,6.1308,6.0921,6.0888,6.0949,6.1013,6.0839,6.0734,6.0781,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0728,6.0623,6.0453,6.0188,5.9896,5.9572,5.9206,5.9002,5.8889,5.8739,5.8729,3.3355,3.4041,3.4769,3.6255,0.0,0.0,4.1774,4.4695,4.7613,4.9523,5.1604,5.3649,5.5549,5.6566,5.7354,5.8242,5.9355,6.0469,6.152,6.169,6.1665,6.1578,6.2043,6.2374,6.2374,6.3232,6.3576,6.3111,6.3356,6.3369,6.299,6.3541,6.404,6.4285,6.4779,6.5039,6.5039,6.4921,6.4838,6.4731,6.4094,6.3714,6.3603,6.305,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2867,6.288,6.2904,6.3039,6.3123,6.3183,6.3254,6.3301,6.3285,6.3032,6.2598,6.2213,6.1945,6.1029,6.0394,6.1052,6.0807,6.0416,6.009,6.0246,6.0473,6.0565,6.0648,6.0716,6.0775,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0728,6.0642,6.0526,6.0297,5.9961,5.9569,5.9272,5.9061,5.8889,5.8828,5.8828,3.5938,3.622,3.6602,3.7652,3.8072,0.0,4.0628,4.242,4.4196,4.5869,4.8234,5.0263,5.1186,5.272,5.4142,5.5034,5.6492,5.8107,6.0003,6.0346,6.0419,6.0419,6.0419,6.0419,6.0419,6.1043,6.1484,6.1484,6.2144,6.2671,6.2912,6.301,6.3201,6.3468,6.3553,6.359,6.359,6.359,6.3477,6.3206,6.3231,6.3063,6.2818,6.2805,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2842,6.2966,6.2941,6.2903,6.2949,6.3042,6.3146,6.3146,6.3263,6.3145,6.2439,6.2179,6.1919,6.1213,6.0481,6.0031,6.0185,5.9907,5.9723,5.988,6.0121,6.0332,6.0513,6.061,6.0697,6.0769,6.0781,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0734,6.0673,6.0591,6.0401,6.003,5.9592,5.94,5.9177,5.8909,5.892,5.894,3.9139,3.9561,3.9868,4.0297,4.0804,0.0,4.1879,4.3022,4.4265,4.5424,4.6627,4.7985,4.9547,5.0218,5.0996,5.2464,5.3518,5.5379,5.8939,6.0003,6.0419,6.0419,6.0419,6.0419,6.0419,6.0529,6.0639,6.0639,6.087,6.1111,6.1274,6.1969,6.2479,6.2625,6.3256,6.359,6.359,6.359,6.3522,6.3347,6.323,6.3111,6.2966,6.2842,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2867,6.2966,6.3002,6.2632,6.21,6.1573,6.1537,6.1637,6.1637,6.1648,6.1633,6.1484,6.0879,6.0322,6.0173,5.9636,5.916,5.9173,5.9309,5.9391,5.9427,5.9732,6.0045,6.0166,6.0398,6.0572,6.0697,6.0752,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0775,6.074,6.0673,6.038,6.0159,5.9999,5.9534,5.9178,5.8965,5.9081,5.9206,4.2591,4.2962,4.3195,4.322,4.2928,0.0,0.0,4.2668,4.2968,4.3483,4.4323,4.5228,4.6126,4.6752,4.7497,4.8746,4.9958,5.1746,5.4609,5.6748,5.7997,5.7997,5.7997,5.8143,5.8572,5.8988,5.9562,6.0429,6.0562,6.0679,6.0885,6.1359,6.1845,6.2365,6.2773,6.3182,6.359,6.359,6.35,6.3289,6.3218,6.3087,6.2892,6.283,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.288,6.2647,6.2437,6.2568,6.2131,6.153,6.1189,6.1143,6.1187,6.1187,6.1187,6.1102,6.0656,6.021,5.9802,5.9393,5.9026,5.8807,5.8807,5.8952,5.9148,5.9262,5.9613,5.9966,6.0129,6.0391,6.0585,6.0722,6.0769,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0769,6.074,6.0533,6.0346,6.023,5.9914,5.9609,5.9335,5.9364,5.9472,4.5677,4.6001,4.625,4.5965,4.4869,4.3788,0.0,0.0,0.0,4.1913,4.255,4.3105,4.2978,4.3615,4.4381,4.5104,4.6434,4.7893,4.9397,5.1987,5.408,5.5034,5.4997,5.5291,5.6223,5.6932,5.7822,5.9113,5.9368,5.9629,6.0037,6.0366,6.0977,6.1882,6.2216,6.2699,6.3368,6.3516,6.3477,6.3255,6.3194,6.3063,6.283,6.2805,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2855,6.2966,6.2486,6.1857,6.1792,6.137,6.0927,6.0778,6.073,6.073,6.073,6.073,6.0545,5.9839,5.9653,5.9505,5.8836,5.8687,5.8687,5.8687,5.8818,5.898,5.9187,5.9581,5.991,6.0121,6.036,6.0591,6.0728,6.0769,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0667,6.0578,6.0443,6.03,6.0076,5.9798,5.974,5.9798,4.7706,4.805,4.8406,4.7844,4.6811,4.5771,4.5019,0.0,4.2737,4.2747,0.0,4.2978,4.2266,0.0,0.0,4.269,4.3469,4.435,4.525,4.6324,4.86,5.2957,5.2821,5.3015,5.4546,5.4766,5.4626,5.4144,5.4885,5.5739,5.663,5.8132,5.9346,6.0173,6.1622,6.2439,6.255,6.3256,6.3534,6.3359,6.3279,6.3111,6.2978,6.2842,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.288,6.299,6.3002,6.2605,6.1926,6.0565,6.0125,5.9913,5.917,5.8985,5.8985,5.8985,5.8985,5.8947,5.8873,5.8836,5.8799,5.8725,5.8687,5.8687,5.8687,5.8818,5.894,5.9004,5.9328,5.9624,5.9902,6.0173,6.0414,6.0591,6.0716,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0716,6.0679,6.0673,6.0526,6.0335,6.0053,6.0129,6.0165,5.1163,5.1132,5.0842,5.0032,4.8396,4.6674,4.5482,4.4012,4.2892,4.2892,0.0,0.0,0.0,0.0,0.0,0.0,4.1515,4.1707,4.2498,4.2506,4.4048,4.8453,4.9067,4.9801,5.1389,5.2428,5.271,5.2062,5.3239,5.4226,5.4756,5.681,5.8353,5.917,6.0322,6.1176,6.1696,6.2513,6.2829,6.2715,6.3032,6.3123,6.3002,6.2855,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2793,6.2805,6.2892,6.2953,6.2879,6.21,6.1411,6.0665,5.9531,5.9207,5.9133,5.8799,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8766,5.8821,5.8965,5.929,5.9668,5.999,6.0232,6.0506,6.0679,6.0752,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0757,6.0746,6.0746,6.0691,6.0617,6.0494,6.0439,6.0414,5.3594,5.3251,5.2571,5.1394,4.9309,4.716,4.5651,4.4232,4.3218,4.3218,4.2876,0.0,0.0,0.0,4.0553,4.0728,0.0,3.968,4.0047,3.9423,4.0422,4.4452,4.5801,4.6828,4.7755,4.9179,4.9855,4.9473,5.0961,5.224,5.3116,5.5466,5.7276,5.8353,5.9356,6.021,6.0842,6.1659,6.2034,6.1908,6.2376,6.2506,6.2387,6.2255,6.2169,6.2132,6.2132,6.2132,6.2132,6.2132,6.2132,6.2132,6.2132,6.2157,6.2255,6.2658,6.2818,6.2867,6.2966,6.2903,6.2593,6.1433,6.0517,5.9765,5.8947,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.876,5.8955,5.9281,5.9621,5.9975,6.0254,6.052,6.071,6.0763,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0781,6.0635,6.0623,5.3953,5.3649,5.3075,5.1487,4.9364,4.7254,4.5671,4.4657,4.4051,4.4051,4.4195,4.4071,4.3315,4.2671,4.1735,4.0202,3.9276,0.0,0.0,3.6934,3.7918,4.1956,4.3819,4.448,4.3763,4.4494,4.5096,4.5199,4.6809,4.8868,5.1333,5.3784,5.5827,5.7499,5.9059,5.9913,5.995,6.0805,6.125,6.1213,6.1141,6.0981,6.0868,6.0729,6.06,6.0493,6.0493,6.0493,6.0493,6.0493,6.0493,6.0493,6.0493,6.0564,6.0831,6.2291,6.288,6.3002,6.3002,6.2654,6.2097,6.144,6.0619,5.9765,5.8947,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.876,5.8955,5.9168,5.9436,5.9844,6.0144,6.0394,6.0572,6.0703,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0775,6.0775,5.5927,5.5078,5.4001,5.305,5.0635,4.8196,4.7109,4.5852,4.493,4.5009,4.5125,4.4984,4.4245,4.3557,4.2588,4.0965,3.9562,3.8248,0.0,3.5973,3.5922,3.7316,3.9856,4.1625,4.1874,4.2684,4.3254,4.3406,4.5485,4.7607,4.9624,5.3079,5.553,5.6655,5.8279,5.9096,5.9096,5.9913,6.0322,6.0359,6.0807,6.0989,6.0907,6.069,6.0574,6.0526,6.0455,6.0419,6.0419,6.0419,6.0419,6.0419,6.0503,6.0562,6.0659,6.1175,6.1419,6.1548,6.1641,6.1248,6.0639,6.0422,5.9765,5.9059,5.8762,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8739,5.893,5.91,5.942,5.9902,6.0173,6.0408,6.0635,6.0734,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,5.7054,5.6071,5.4942,5.4327,5.1935,4.9557,4.8803,4.7549,4.6607,4.6755,4.661,4.6343,4.5937,4.483,4.3387,4.1801,4.0186,3.8358,0.0,3.5121,3.4784,3.5371,3.7331,3.8799,3.9342,4.0207,4.1001,4.167,4.3807,4.6046,4.8361,5.1816,5.4388,5.58,5.7425,5.839,5.8687,5.9207,5.9467,5.9467,5.996,6.0166,6.0122,5.9919,5.9794,5.975,5.9669,5.9574,5.9538,5.9538,5.9538,5.955,5.9704,5.9785,5.9893,6.0483,6.0736,6.0899,6.1033,6.0565,5.9913,5.9913,5.9356,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8687,5.8739,5.8892,5.91,5.9401,5.9823,6.0129,6.038,6.0629,6.0734,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787,6.0787]}]]