[[{"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":"2023-06-01T12:00:00:Z","depth":0,"parameterNumber":2,"parameterNumberName":"U-component_of_WINDS"},"data":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.2951,4.2717,4.2416,4.223,4.2143,4.1815,4.1421,4.1071,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.3345,4.3849,4.3893,4.4058,4.4554,4.4294,4.398,4.3572,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.314,4.4223,4.4591,4.4999,4.5342,4.5614,4.5441,4.5187,4.4883,4.3048,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.4452,4.5178,4.5247,4.5766,4.621,4.6394,4.6214,4.6027,4.5838,4.524,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5297,4.599,4.599,4.6098,4.65,4.7239,4.7132,4.6984,4.687,4.713,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5883,4.6873,4.6908,4.7387,4.7866,4.827,4.8126,4.8016,4.794,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.4821,4.6507,4.7684,4.7829,4.8345,4.8714,4.8822,4.8714,4.8605,4.8532,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5585,4.7165,4.842,4.8751,4.8787,4.8822,4.889,4.8857,4.8751,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5469,4.7163,4.8382,4.8642,4.8751,4.8822,4.889,4.8855,4.882,4.8751,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5503,4.7709,4.9189,4.9086,4.9455,4.9602,4.9377,4.934,4.9156,4.8751,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.5678,4.8393,5.0171,4.9823,5.0414,5.0601,4.9936,4.9861,4.9492,4.8679,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1731,2.0753,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.6751,4.7783,4.8689,4.9481,4.9266,4.9011,4.8901,4.8901,4.8863,4.8751,4.8015,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0839,1.9758,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.6453,4.7969,4.8992,4.9314,4.9358,4.9334,4.9047,4.8972,4.8753,4.816,4.7537,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.4866,1.6396,1.7843,1.8915,1.968,2.0141,1.9354,1.8398,1.7222,1.5255,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0662,2.3158,2.5154,2.6905,2.8132,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,4.6031,4.8246,4.9575,4.9053,4.9543,4.9747,4.9255,4.9179,4.8708,4.761,4.7132,4.625,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.9986,1.4471,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7745,0.8682,0.9386,1.0875,1.3059,1.4255,1.5924,1.7985,1.8179,1.7921,1.7404,1.6666,0.0,1.5455,1.3546,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1011,2.3438,2.4969,2.6481,2.8415,2.982,3.103,3.2246,3.3538,3.5003,0.0,0.0,0.0,0.0,0.0,0.0,4.7096,4.7963,4.8559,4.8587,4.8315,4.8088,4.802,4.8138,4.8145,4.8119,4.6649,4.5658,4.5437,4.3249,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.7059,1.3567,1.7135,1.9347,2.0538,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.8321,0.8162,0.8464,0.9177,1.0254,1.1483,1.3033,1.4072,1.5394,1.6828,1.7139,1.7116,1.6733,1.542,1.3648,1.1563,1.0952,0.915,0.6388,0.0,0.0,0.0,0.0,-1.0069,-1.2578,-1.4918,-1.6154,-1.6666,-1.666,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.33,1.6522,1.9359,2.1903,2.4425,2.6023,2.7602,2.9757,3.0908,3.1826,3.253,3.3927,3.5359,3.6538,3.8737,0.0,0.0,0.0,4.5354,4.6374,4.6989,4.7415,4.7635,4.7535,4.7536,4.7705,4.7705,4.7466,4.6907,4.5984,4.4992,4.4084,4.2332,4.0659,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1713,1.6051,1.9626,2.1468,2.2156,0.0,0.0,0.0,0.0,0.0,0.0,1.235,1.0961,1.0035,0.9517,0.9505,0.9675,1.0115,1.123,1.2174,1.3137,1.4334,1.5187,1.5756,1.6319,1.6237,1.556,1.3802,1.1344,0.8541,0.8751,0.725,0.4432,0.0885,-0.2452,-0.5637,-0.9117,-1.2158,-1.4895,-1.7317,-1.8549,-1.911,-1.9178,-1.6891,-1.3592,-1.1025,0.0,0.0,0.0,0.0,1.3895,1.7499,2.0235,2.2625,2.5182,2.6863,2.8435,3.0646,3.1655,3.2407,3.3185,3.4448,3.577,3.6899,3.8937,0.0,4.1708,4.3384,4.4829,4.5563,4.633,4.6802,4.6813,4.6998,4.7196,4.724,4.7204,4.6752,4.5731,4.5025,4.4072,4.2804,4.1307,3.9846,3.8461,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1983,2.2923,0.0,0.0,0.0,0.0,1.8938,1.7213,1.5482,1.3844,1.3079,1.231,1.1541,1.1608,1.163,1.1585,1.1712,1.231,1.3392,1.5063,1.5732,1.5477,1.5906,1.4992,1.2784,1.0982,0.9314,0.7941,0.7394,0.5688,0.3049,-0.0084,-0.3395,-0.6688,-1.011,-1.3517,-1.6748,-1.8573,-2.0154,-2.1256,-2.04,-1.6703,-1.1735,-0.7371,-0.2756,0.0,0.0,1.0994,1.4465,1.8002,2.0505,2.2799,2.5247,2.6605,2.8101,3.0385,3.1552,3.2555,3.4156,3.5204,3.6416,3.8053,0.0,4.1821,4.261,4.4923,4.6214,4.5348,4.6516,4.7096,4.6323,4.6684,4.6767,4.6139,4.6248,4.605,4.5296,4.3779,4.2721,4.2333,4.0,3.781,3.5945,3.4644,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.2928,2.3936,0.0,2.3523,2.2229,2.0991,2.0,1.8583,1.7426,1.6523,1.5389,1.4502,1.3887,1.3723,1.356,1.3299,1.378,1.4117,1.4475,1.534,1.5688,1.556,1.5613,1.4768,1.3171,1.1585,1.0057,0.8656,0.7139,0.4756,0.1831,-0.0931,-0.3756,-0.6753,-1.0479,-1.3612,-1.6468,-1.9182,-2.0726,-2.1089,-1.8493,-1.4561,-0.9885,-0.4889,-0.0085,0.4737,0.9488,1.3474,1.6942,2.0167,2.2674,2.4872,2.6909,2.8411,2.9806,3.1792,3.2828,3.3858,3.5186,3.638,3.7447,3.8281,4.0685,4.2726,4.3234,4.4566,4.5606,4.5781,4.5994,4.6168,4.6204,4.5988,4.5879,4.5988,4.5659,4.5178,4.4545,4.3343,4.2318,4.1578,3.9403,3.7521,3.6028,3.4377,3.2386,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.839,2.1594,2.3996,2.4925,2.507,2.4321,2.3137,2.2189,2.1449,2.0381,1.947,1.8803,1.7723,1.6772,1.6139,1.5899,1.5623,1.5241,1.5576,1.576,1.5723,1.5869,1.5952,1.6058,1.5771,1.5132,1.4229,1.2783,1.1381,0.9989,0.8009,0.5631,0.2837,-0.0427,-0.3377,-0.6247,-1.0008,-1.3169,-1.5959,-1.8769,-1.9677,-1.916,-1.5559,-1.1576,-0.7215,-0.1985,0.3184,0.8223,1.248,1.6268,1.9578,2.2473,2.4784,2.6679,2.8539,2.9959,3.1246,3.292,3.3991,3.4955,3.6223,3.7416,3.8376,3.8894,4.1434,4.3528,4.3879,4.4907,4.5738,4.5875,4.5809,4.5823,4.5955,4.5761,4.5705,4.582,4.5323,4.47,4.4032,4.2907,4.1779,4.0713,3.8712,3.6969,3.5393,3.2789,3.0609,2.8844,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.7016,1.9618,2.2347,2.5262,2.587,2.6012,2.59,2.5272,2.4399,2.3363,2.2574,2.1671,2.0755,2.0095,1.9346,1.8284,1.8201,1.7861,1.7239,1.7118,1.7047,1.7032,1.6672,1.6604,1.6916,1.6415,1.6015,1.5661,1.4435,1.3065,1.1738,0.9951,0.8163,0.6031,0.1293,-0.2323,-0.531,-0.8765,-1.2085,-1.5205,-1.7063,-1.6983,-1.5385,-1.1696,-0.7722,-0.3428,0.1683,0.709,1.2159,1.5944,1.9336,2.2351,2.4784,2.6634,2.8322,3.0059,3.1251,3.2294,3.3699,3.4875,3.5954,3.7097,3.8252,3.9266,4.0025,4.234,4.4252,4.4685,4.6092,0.0,4.579,4.6178,4.6251,4.5702,4.607,4.6141,4.563,4.5201,4.4623,4.3832,4.2364,4.0989,3.9775,3.7941,3.5889,3.3721,2.9783,2.718,2.6012,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.3828,1.7048,1.8552,2.1129,2.3616,2.556,2.6103,2.6215,2.6225,2.5808,2.5262,2.4718,2.4111,2.3514,2.2972,2.2225,2.1456,2.0465,2.0231,1.9843,1.9012,1.9016,1.8849,1.841,1.8055,1.7884,1.7792,1.7329,1.69,1.6462,1.5367,1.4213,1.2861,1.1218,0.9447,0.7395,0.3181,-0.0086,-0.283,-0.6479,-1.0264,-1.3732,-1.4043,-1.2853,-1.066,-0.721,-0.279,0.2228,0.7097,1.187,1.6402,2.041,2.3473,2.6013,2.8009,2.9633,3.0954,3.1996,3.3238,3.4495,3.5408,3.6743,3.7785,3.8389,3.9676,4.092,4.162,4.3499,4.5132,4.5966,4.642,4.6806,4.6992,4.637,4.593,4.6217,4.5578,4.5207,4.5421,4.4448,4.3805,4.3673,4.1511,3.9779,3.8566,3.6381,3.3878,3.1043,2.8311,2.6597,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.7075,1.9907,2.1455,2.3143,2.4723,2.6153,2.6918,2.7358,2.7488,2.7406,2.7136,2.6623,2.6341,2.5924,2.5252,2.4661,2.389,2.2828,2.255,2.1933,2.0819,2.0748,2.0377,1.9817,1.9316,1.9058,1.9124,1.8671,1.8274,1.8065,1.6996,1.5956,1.4803,1.3297,1.1543,0.9397,0.0,0.0,0.0,0.0,-0.7699,-0.9932,-0.9383,-0.7578,-0.5005,-0.1503,0.3078,0.8068,1.2608,1.711,2.1351,2.4615,2.7346,2.96,3.1198,3.2623,3.3792,3.4699,3.5621,3.6495,3.7153,3.82,3.9144,3.9637,4.0885,0.0,4.3042,4.4188,4.5332,4.6301,4.6741,4.7045,4.7287,4.6824,4.637,4.6323,4.5839,4.5556,4.5729,4.46,0.0,0.0,0.0,3.8907,3.6225,3.413,0.0,0.0,0.0,2.5965,2.5261,2.4121,0.0,0.0,2.0252,1.9328,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0351,2.2878,2.5105,2.5605,2.6119,2.7254,2.8251,2.8996,2.9411,2.9543,2.9337,2.8785,2.8664,2.8267,2.7499,2.7042,0.0,0.0,0.0,2.4114,2.2821,2.2377,2.1943,2.1503,2.0703,2.0425,2.0642,2.0202,2.0093,2.0059,1.9039,1.8071,1.7056,1.5673,1.3798,1.1373,0.6927,0.3646,0.1047,-0.2743,-0.444,-0.4687,-0.3619,0.0,0.0,0.4821,0.9287,1.4038,1.812,2.2448,2.6431,2.8621,3.1017,3.3219,3.4397,3.5508,3.6628,3.7561,3.8059,3.8394,3.881,3.9592,4.0406,4.0982,4.207,4.318,4.4004,4.451,4.5184,4.6127,4.6929,4.7242,4.6977,4.7321,4.7207,4.6226,4.6488,0.0,4.614,4.5138,4.4103,4.3084,4.1121,3.7914,3.3333,3.1646,2.9631,2.7049,2.6343,2.5521,2.4548,2.4356,2.3555,2.2106,2.0927,2.0139,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.1024,2.358,2.599,2.7844,2.8959,2.9625,2.953,3.0138,3.0826,3.1465,3.1108,3.0671,3.0198,2.9426,2.8787,2.8397,2.7759,2.7278,2.6954,2.6262,2.5681,2.4977,2.4524,2.3939,2.3331,2.3164,0.0,2.2026,2.2226,2.1917,2.1086,2.0348,1.9505,1.8526,1.6654,1.4244,1.1444,0.7292,0.4476,0.2502,0.0926,0.0278,0.037,0.184,0.4029,0.6866,1.0505,1.4589,1.8758,2.2948,2.6671,0.0,3.303,3.4993,3.6443,3.7456,3.8034,3.8419,3.8641,3.9592,4.052,4.0605,4.1995,4.3139,4.2869,4.3448,4.4038,4.4048,4.4648,4.5363,4.6159,4.6722,4.7101,4.7307,4.7239,4.6982,4.6473,4.652,4.6323,4.5736,4.4572,4.3675,4.3083,3.8802,3.4775,3.1255,2.9758,2.8433,2.6999,2.6452,2.6069,2.5887,2.5,2.4325,2.3774,2.2359,2.1268,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.8786,1.9898,0.0,2.3475,2.54,2.7214,2.8957,3.0639,3.1638,3.1909,3.1239,3.1707,3.2254,3.2856,3.2697,3.2462,3.1993,3.1573,3.106,3.0431,2.9853,2.9329,2.8805,2.8254,2.7424,2.6504,2.6194,2.5554,2.471,2.471,2.4408,2.3828,2.3997,2.3717,2.3085,2.2203,2.1284,2.0154,1.7477,1.5217,1.3345,1.0575,0.788,0.5546,0.4691,0.4775,0.5516,0.6697,0.8976,1.1865,1.5422,1.9346,2.334,2.7171,3.0541,3.3658,3.6135,3.7833,3.9173,4.0041,4.0689,4.1114,4.1254,4.1768,4.231,4.2653,4.34,4.4006,4.4108,4.4549,4.4911,4.4673,4.5449,4.6028,4.5896,4.6372,4.686,4.7235,4.7375,4.7331,4.7093,4.7048,4.6737,4.5883,4.3289,4.1169,3.9902,3.6182,3.2919,3.0388,2.9312,2.8196,2.7053,2.6499,2.6171,2.5949,2.5688,2.5344,2.4964,2.4354,2.3194,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.311,2.29,2.268,2.2991,2.3759,2.5326,2.6471,2.7806,2.9812,3.0708,3.1802,3.3451,3.405,3.4163,3.3661,3.3643,3.3831,3.4407,3.4399,3.4163,3.3987,3.3701,3.3216,3.2523,3.2019,3.1424,3.0652,3.0076,2.9195,2.7966,2.7597,2.7049,2.6235,2.6144,2.592,2.5635,2.5625,2.5421,2.5025,2.3738,2.2609,2.145,1.8442,1.6786,1.5925,1.4551,1.2414,0.9956,0.8785,0.9169,1.0416,1.1507,1.3664,1.6574,1.9968,2.3706,2.745,3.0941,3.4084,3.6779,3.8667,4.0201,4.1511,4.2252,4.294,4.3516,4.3748,4.3777,4.3863,4.444,4.4557,4.4701,4.5208,4.5567,4.5768,4.5501,4.6234,4.6563,4.5771,4.6239,4.6808,4.7188,4.7468,4.7539,4.7445,4.7429,4.6802,4.5354,4.1917,3.8858,3.658,3.4297,3.2201,3.0366,2.9657,2.8703,2.7482,2.7122,2.667,2.6311,2.6612,2.6487,2.6017,2.6344,2.531,3.3545,3.3077,3.2416,3.0519,3.0254,3.0032,0.0,2.835,2.8391,2.8172,2.8722,2.942,2.9784,3.0824,3.1946,3.3063,3.3645,3.4489,3.6312,3.657,3.7069,3.8239,3.6736,3.6031,3.7063,3.6041,3.5499,3.5785,3.4441,3.362,3.3618,3.2823,3.2297,3.203,3.1424,3.0734,2.9897,2.9418,2.8914,2.8386,2.8129,2.7729,2.7028,2.7243,2.6786,2.5664,2.4032,2.2636,2.1414,2.007,1.909,1.8356,1.7724,1.7274,1.6603,1.3872,1.3633,1.4811,1.6576,1.8701,2.1156,2.422,2.74,3.058,3.4074,3.679,3.906,4.1156,4.2527,4.3373,4.3891,4.4007,4.4065,4.4494,4.4819,4.5142,4.5373,4.6018,4.6458,4.6237,4.6371,4.6381,4.6203,4.6462,4.6562,4.6429,4.6602,4.6897,4.7365,4.742,4.7275,4.6748,4.6776,4.5529,4.239,4.1082,3.9076,3.5931,3.479,3.3238,3.1013,3.076,3.0234,2.9263,2.9035,2.8952,2.8882,2.8231,2.7776,2.7556,2.798,2.7125,3.527,3.5369,3.5138,3.3623,3.3492,3.3473,3.2455,3.2087,3.216,3.2604,3.2907,3.341,3.4548,3.5062,3.5711,3.7082,3.7358,3.7792,3.9025,3.9151,3.9353,4.0188,3.9361,3.8767,3.8734,3.8201,3.7845,3.7858,3.701,3.6333,3.5977,3.5252,3.4504,3.3972,3.3375,3.2678,3.1808,3.1507,3.0924,3.0242,3.0045,2.9613,2.9042,2.8675,2.7607,2.6011,2.4866,2.3616,2.2262,2.1483,2.0699,2.0136,1.9634,1.9564,1.9589,1.7246,1.7106,1.8316,2.0069,2.1907,2.3972,2.7071,2.9831,3.2557,3.5762,3.828,4.0357,4.2558,4.3795,4.4501,4.5054,4.5259,4.5347,4.5522,4.5698,4.5903,4.6167,4.6549,4.6842,4.6661,4.6976,4.7021,4.6576,4.7119,4.7446,4.7167,4.7276,4.7395,4.7349,4.7529,4.7329,4.6421,4.5925,4.4702,4.2085,4.0443,3.8434,3.5768,3.4562,3.3077,3.1338,3.1037,3.0636,3.0119,3.0094,3.0058,2.9915,2.9905,2.9758,2.9476,2.9696,2.9354,3.7218,3.7652,3.7808,3.6978,3.7097,3.7229,3.6604,3.6381,3.6465,3.7303,3.7263,3.7497,3.9028,3.9003,3.9268,4.077,4.083,4.0978,4.1936,4.1674,4.1644,4.2132,4.1829,4.1322,4.072,4.0083,3.9699,3.9629,3.9081,3.8476,3.7867,3.7219,3.6445,3.548,3.4945,3.4272,3.3332,3.3005,3.2536,3.1895,3.1507,3.1066,3.0671,2.9773,2.8531,2.7002,2.626,2.5218,2.4066,2.3166,2.2549,2.2143,2.1752,2.1824,2.2045,2.0948,2.0818,2.1377,2.3117,2.479,2.6769,2.9589,3.2132,3.4478,3.7416,3.9561,4.1416,4.3441,4.4543,4.5196,4.584,4.6046,4.6135,4.6314,4.6225,4.6314,4.6491,4.6668,4.6844,4.6931,4.7193,4.7302,4.6906,4.763,4.8118,4.7794,4.8026,4.7991,4.7521,4.7509,4.7114,4.6088,4.521,4.3944,4.1881,3.9966,3.8039,3.5968,3.4898,3.3725,3.2551,3.2111,3.1763,3.1553,3.1487,3.1262,3.1066,3.1345,3.1286,3.0889,3.1265,3.1223,3.9546,4.0144,4.0558,4.0648,4.1314,4.186,4.1443,4.1744,4.2342,4.2533,4.2365,4.2379,4.2999,4.2554,4.2517,4.3634,4.3464,4.3624,4.4969,4.4417,4.4109,4.4747,4.4025,4.3476,4.3476,4.145,4.0379,4.0747,3.9743,3.9078,3.8861,3.82,3.7416,3.6532,3.5745,3.5072,3.4342,3.3937,3.3542,3.3173,3.2435,3.1896,3.1621,3.0578,2.9877,2.9197,2.8225,2.7542,2.6894,2.5661,2.5088,2.5088,2.4785,2.4702,2.4739,2.5638,2.5098,2.4092,2.5824,2.7863,3.0019,3.2229,3.445,3.68,3.9308,4.1106,4.2598,4.4013,4.4926,4.5566,4.6016,4.6046,4.6075,4.6521,4.6403,4.6314,4.6491,4.658,4.6668,4.6844,4.6931,4.7106,4.7508,4.7794,4.8049,4.8271,4.8821,4.8889,4.7896,4.7125,4.6325,4.5584,4.4637,4.3174,4.0913,3.9596,3.8241,3.6641,3.6157,3.5769,3.5407,3.4771,3.4293,3.3783,3.3426,3.2987,3.262,3.2434,3.2089,3.1686,3.2575,3.25,4.1624,4.2783,4.3988,4.3872,4.4436,4.5114,4.5555,4.5567,4.5647,4.626,4.6051,4.5921,4.6117,4.5896,4.5864,4.6271,4.6497,4.678,4.7296,4.7095,4.6805,4.6903,4.667,4.6284,4.5895,4.3578,4.2099,4.2254,4.1674,4.1151,4.0821,4.021,3.9446,3.8405,3.7811,3.7118,3.621,3.583,3.5456,3.5059,3.3978,3.2935,3.1949,3.1289,3.0496,2.9676,2.9183,2.8607,2.7804,2.724,2.6859,2.6657,2.6473,2.6454,2.6695,2.7452,2.7799,2.7883,2.8554,2.9631,3.1218,3.3531,3.5325,3.7167,3.9582,4.1186,4.2465,4.3948,4.4954,4.5504,4.5685,4.5956,4.6135,4.6135,4.6135,4.6225,4.6135,4.6432,4.658,4.6491,4.658,4.6756,4.7106,4.7366,4.7709,4.8355,4.8239,4.8231,4.8464,4.7225,4.6024,4.534,4.4319,4.3035,4.1389,4.0457,3.94,3.8185,3.7672,3.7042,3.6108,3.5875,3.5535,3.4874,3.5008,3.4895,3.4673,3.4789,3.4717,3.4461,3.4761,3.4908,4.3918,4.5384,4.6692,4.7228,4.7965,4.8644,4.9347,4.9478,4.9584,4.9878,4.9576,4.9345,4.9132,4.8698,4.866,4.929,4.9418,4.9715,5.0422,4.9844,4.9299,4.9106,4.8509,4.7921,4.7387,4.5537,4.4308,4.4098,4.3694,4.3201,4.2785,4.205,4.1169,4.0123,3.9222,3.841,3.7764,3.7484,3.6818,3.5953,3.5161,3.4126,3.2765,3.2563,3.1937,3.1091,3.0716,3.0147,2.9413,2.8777,2.8533,2.8574,2.8267,2.8367,2.8755,2.962,3.0308,3.0806,3.0547,3.1359,3.2855,3.4792,3.6502,3.8136,4.014,4.1409,4.2453,4.3815,4.4676,4.5138,4.5413,4.5685,4.5956,4.5895,4.5956,4.6046,4.5985,4.6164,4.6314,4.6225,4.6314,4.658,4.6844,4.7193,4.7624,4.8355,4.7923,4.759,4.8122,4.6818,4.5571,4.4723,4.3775,4.2743,4.1713,4.086,4.01,3.9225,3.8882,3.8234,3.7282,3.7121,3.6769,3.6196,3.6324,3.6391,3.6432,3.6603,3.6629,3.6571,3.6779,3.679,4.6568,4.7854,4.8916,5.0798,5.1883,5.262,5.2861,5.3539,5.3922,5.3419,5.3052,5.2566,5.2001,5.1027,5.0892,5.2463,5.2269,5.254,5.408,5.2828,5.1606,5.1382,4.9844,4.8637,4.8155,4.7543,4.6885,4.6325,4.5716,4.5161,4.4803,4.351,4.2482,4.1702,4.0001,3.9077,3.9203,3.8642,3.7603,3.6053,3.6113,3.5425,3.4134,3.4326,3.4177,3.3559,3.2779,3.2162,3.1466,3.0366,3.0179,3.0579,3.0245,3.0516,3.1082,3.204,3.2534,3.2726,3.2022,3.3005,3.4684,3.6117,3.7765,3.9548,4.0889,4.1895,4.2706,4.3642,4.4115,4.449,4.523,4.5504,4.5504,4.5776,4.5895,4.5895,4.5895,4.5895,4.5985,4.6135,4.6225,4.6343,4.6756,4.7309,4.7739,4.8218,4.7699,4.7221,4.7026,4.6158,4.5248,4.4139,4.324,4.2432,4.1833,4.1037,4.04,4.0003,3.9762,3.941,3.8974,3.8561,3.8087,3.7636,3.7407,3.7531,3.7945,3.7856,3.797,3.7952,3.8501,3.8221,4.9334,5.1172,5.2765,5.4453,5.5293,5.5946,5.7,5.69,5.674,5.708,5.6235,5.5074,5.4322,5.4072,5.3951,5.3847,5.4432,5.5036,5.5265,5.4816,5.415,5.3485,5.3006,5.2281,5.0968,5.0946,5.0641,4.9784,4.7272,4.5798,4.5686,4.4679,4.3831,4.3141,4.1764,4.095,4.0561,3.9717,3.8685,3.749,3.732,3.6624,3.5497,3.5537,3.5142,3.4425,3.4289,3.372,3.2959,3.2401,3.2168,3.2084,3.2062,3.2255,3.2576,3.3027,3.371,3.4298,3.4233,3.475,3.5482,3.6666,3.8091,3.9548,4.0915,4.1696,4.2387,4.297,4.3642,4.4181,4.4583,4.4954,4.523,4.5321,4.5321,4.5321,4.5321,4.5504,4.5595,4.5685,4.6363,4.681,4.6491,4.7317,4.7935,4.7628,4.7417,4.7407,4.7615,4.658,4.5728,4.5454,4.4388,4.3671,4.3364,4.271,4.2195,4.2109,4.1702,4.1128,4.0392,4.0129,3.9714,3.924,3.897,3.9082,3.9415,3.9228,3.9118,3.9181,3.9094,3.9226,5.1905,5.3935,5.5776,5.7691,5.8913,5.9755,6.0095,6.0004,5.9802,5.9289,5.8542,5.7658,5.6775,5.6615,5.6551,5.6419,5.6764,5.7122,5.7261,5.6711,5.598,5.5329,5.4808,5.4146,5.2921,5.2778,5.2557,5.1933,4.9384,4.7763,4.7598,4.6244,4.5158,4.4501,4.3101,4.1993,4.1369,4.0685,3.9809,3.8789,3.8617,3.7885,3.685,3.6884,3.6459,3.5829,3.5304,3.4767,3.4106,3.3564,3.3309,3.3399,3.3399,3.3638,3.4053,3.4378,3.4894,3.5534,3.5934,3.652,3.7268,3.7531,3.8716,4.0236,4.1181,4.1765,4.2319,4.3183,4.3476,4.3697,4.426,4.4499,4.4676,4.4769,4.4862,4.4954,4.4954,4.5138,4.5407,4.5694,4.6408,4.6978,4.6891,4.77,4.8208,4.7852,4.7555,4.7465,4.7611,4.6531,4.5585,4.5221,4.467,4.4093,4.3777,4.3428,4.319,4.3088,4.2593,4.2064,4.1526,4.1187,4.0777,4.041,4.0226,4.0535,4.1298,4.1133,4.1179,4.1485,4.1287,4.1227,5.4576,5.6662,5.8436,6.074,6.259,6.3615,6.2816,6.3052,6.2974,6.1214,6.066,6.0244,5.9522,5.8988,5.897,5.9583,5.9257,5.9055,5.9488,5.8531,5.7602,5.6829,5.6039,5.5168,5.4293,5.3934,5.3577,5.3276,5.1738,5.0507,4.9934,4.7973,4.6436,4.5608,4.4004,4.2628,4.18,4.1558,4.0963,3.9873,3.9753,3.9216,3.8231,3.8073,3.7761,3.7227,3.627,3.5634,3.516,3.4173,3.4026,3.4316,3.4425,3.4714,3.5202,3.5753,3.6214,3.6587,3.7129,3.8216,3.9258,3.8521,3.9515,4.1101,4.1544,4.1827,4.2239,4.3584,4.3399,4.3118,4.4123,4.4263,4.416,4.4443,4.4575,4.4705,4.4705,4.4918,4.5331,4.5995,4.6505,4.7044,4.7572,4.8092,4.8429,4.8433,4.7933,4.7489,4.7336,4.6372,4.5492,4.4646,4.4588,4.4414,4.3918,4.3887,4.3788,4.3574,4.309,4.2759,4.2547,4.1906,4.154,4.1369,4.1314,4.1856,4.2922,4.2922,4.3138,4.3721,4.3618,4.3127,5.8134,6.0118,6.1863,6.4634,6.5894,6.6389,6.6332,6.615,6.5786,6.5186,6.3947,6.2947,6.2748,6.2095,6.1606,6.204,6.1736,6.1344,6.0884,6.0419,5.9633,5.8214,5.7831,5.7167,5.5944,5.5875,5.5509,5.4685,5.389,5.2667,5.0875,4.9182,4.7413,4.5602,4.4578,4.3648,4.2711,4.2457,4.1743,4.064,4.0236,3.9725,3.9109,3.8792,3.8421,3.7868,3.7394,3.6811,3.6031,3.5613,3.5308,3.5178,3.5398,3.5553,3.5753,3.6277,3.6967,3.7668,3.802,3.9117,4.0168,3.9377,4.017,4.1504,4.1361,4.144,4.157,4.2265,4.2743,4.3138,4.3742,4.4178,4.4484,4.4773,4.4506,4.4115,4.4115,4.4534,4.5183,4.5987,4.6842,4.7316,4.7176,4.7837,4.8267,4.7905,4.773,4.7672,4.7579,4.7245,4.6748,4.6056,4.6304,4.6232,4.5373,4.5391,4.5244,4.4634,4.4636,4.4398,4.3889,4.3094,4.2695,4.3013,4.2262,4.2385,4.3326,4.3122,4.3021,4.3127,4.2892,4.2837,6.0482,6.2992,6.4996,6.7341,6.9051,6.9841,6.8596,6.8293,6.7915,6.6544,6.5521,6.482,6.477,6.3906,6.3247,6.3293,6.2526,6.1901,6.1761,6.1453,6.0932,6.029,5.9701,5.9108,5.8457,5.7859,5.7509,5.7198,5.5876,5.4277,5.2327,5.0275,4.8531,4.7099,4.5767,4.492,4.4483,4.3296,4.2547,4.2245,4.1227,4.0593,4.0287,3.9465,3.8816,3.8396,3.7679,3.7036,3.6495,3.595,3.5753,3.5643,3.5753,3.5863,3.5886,3.6772,3.7465,3.7989,3.8888,4.0023,4.0832,4.0267,4.0873,4.1922,4.1752,4.1889,4.2179,4.2993,4.3153,4.3171,4.4001,4.4273,4.4348,4.4343,4.4235,4.4139,4.4235,4.4872,4.5497,4.6154,4.6982,4.7574,4.7603,4.8154,4.8632,4.8509,4.8067,4.7837,4.7932,4.8085,4.7693,4.6842,4.6728,4.6594,4.6022,4.5888,4.5663,4.5492,4.5094,4.4792,4.4719,4.3849,4.346,4.3654,4.3184,4.3349,4.4095,4.3991,4.4098,4.457,4.4248,4.4235,6.2529,6.5366,6.7761,6.9613,7.1648,7.2516,7.0337,7.0198,6.9818,6.7523,6.7016,6.6863,6.6546,6.5689,6.493,6.4816,6.3706,6.2875,6.2892,6.2638,6.2379,6.2118,6.1394,6.0843,6.0681,5.9722,5.917,5.9354,5.7483,5.5425,5.3204,5.0969,4.9374,4.8558,4.6951,4.6005,4.593,4.4303,4.3497,4.366,4.2404,4.1765,4.1589,4.0335,3.9506,3.8883,3.7941,3.7293,3.6874,3.6329,3.6132,3.6109,3.6219,3.6219,3.6287,3.7455,3.8043,3.8477,3.9641,4.07,4.1335,4.0998,4.1533,4.2308,4.2048,4.2267,4.2696,4.3676,4.3591,4.331,4.4282,4.4487,4.4313,4.4122,4.4283,4.4382,4.4551,4.5216,4.5896,4.6192,4.6891,4.7516,4.7892,4.8393,4.8852,4.9037,4.8496,4.8239,4.8534,4.8795,4.8567,4.7616,4.7319,4.6925,4.6378,4.6166,4.5989,4.5915,4.5336,4.511,4.5496,4.4751,4.4303,4.4306,4.4228,4.444,4.4891,4.5023,4.5446,4.6125,4.5794,4.5607,6.4845,6.7262,6.9649,7.1814,7.2849,7.3069,7.1921,7.2234,7.2122,6.9683,6.9627,6.9798,6.9047,6.8091,6.7576,6.7948,6.6962,6.5966,6.5322,6.495,6.4312,6.301,6.2481,6.2016,6.1571,6.0899,6.0387,6.0005,5.8183,5.5637,5.2289,5.0925,4.9849,4.8862,4.7788,4.6938,4.6251,4.565,4.5001,4.4583,4.3996,4.3254,4.2423,4.1766,4.0639,3.915,3.8981,3.8382,3.7432,3.7321,3.7211,3.6966,3.7496,3.7606,3.7455,3.8658,3.9379,3.9807,4.0242,4.0918,4.1533,4.1215,4.2012,4.2811,4.1977,4.1938,4.2292,4.2671,4.3028,4.3514,4.3859,4.4467,4.5007,4.4947,4.5011,4.5011,4.4984,4.5275,4.5711,4.5942,4.6511,4.7026,4.7288,4.7861,4.8236,4.8263,4.8629,4.8967,4.9246,4.9098,4.9014,4.9253,4.8986,4.8201,4.6807,4.6818,4.649,4.597,4.6125,4.6458,4.676,4.6168,4.5795,4.5787,4.5813,4.5731,4.548,4.6088,4.6402,4.6395,4.6169,4.5856,6.7216,7.0076,7.2526,7.4375,7.5293,7.5343,7.4099,7.3684,7.3153,7.1674,7.1401,7.1237,7.0488,6.9867,6.9203,6.8271,6.7449,6.6777,6.626,6.5859,6.5533,6.5141,6.4314,6.363,6.3518,6.2506,6.1508,6.0526,5.8913,5.7069,5.4804,5.2797,5.1302,5.0329,4.8916,4.8249,4.8166,4.6715,4.5928,4.5989,4.4726,4.3721,4.2997,4.1919,4.0856,3.971,3.9133,3.8465,3.7719,3.7854,3.7854,3.7831,3.8254,3.8366,3.8325,3.9315,3.9873,4.0087,4.065,4.1208,4.1606,4.1287,4.1745,4.2375,4.1815,4.1966,4.2524,4.2966,4.3431,4.3893,4.4516,4.4785,4.4885,4.485,4.49,4.4797,4.4797,4.5461,4.6102,4.5971,4.6878,4.7631,4.7631,4.8337,4.8986,4.8945,4.9113,4.9386,4.9462,4.9588,4.957,4.9324,4.8755,4.8318,4.7956,4.7619,4.7325,4.7081,4.7083,4.6999,4.6884,4.6561,4.6341,4.6552,4.6356,4.6356,4.6356,4.6821,4.6882,4.6794,4.6759,4.6718,6.9038,7.205,7.4471,7.6225,7.6998,7.7034,7.5625,7.5051,7.4402,7.3031,7.2774,7.2548,7.175,7.1367,7.0633,6.9077,6.8421,6.7885,6.7234,6.6786,6.6554,6.6677,6.573,6.4999,6.4873,6.3623,6.2267,6.0886,5.9705,5.8329,5.6686,5.434,5.2642,5.1498,5.0022,4.9233,4.9305,4.7729,4.701,4.7231,4.5805,4.4667,4.3704,4.2429,4.1136,3.9913,3.9297,3.8617,3.8022,3.8478,3.8614,3.8591,3.9042,3.9131,3.9202,4.0087,4.0392,4.044,4.1052,4.1287,4.1492,4.1287,4.1541,4.1745,4.1516,4.1948,4.2625,4.3184,4.3543,4.4119,4.4856,4.497,4.489,4.4996,4.4996,4.5101,4.4996,4.5872,4.6594,4.6276,4.7294,4.8051,4.7944,4.8651,4.9304,4.9245,4.9356,4.9657,4.9852,4.9856,4.9776,4.9693,4.898,4.8516,4.8599,4.8028,4.7698,4.7698,4.7478,4.7415,4.7397,4.7197,4.7302,4.7573,4.7372,4.7345,4.7573,4.7765,4.7821,4.7769,4.7777,4.7682,7.0323,7.2918,7.5218,7.6979,7.7646,7.752,7.6043,7.6344,7.6229,7.3642,7.3658,7.3861,7.2952,7.2621,7.213,7.1025,7.0535,6.9827,6.8554,6.801,6.7577,6.704,6.6536,6.5949,6.5278,6.4039,6.2734,6.1308,6.0411,5.9019,5.6947,5.5254,5.3713,5.2282,5.0795,4.9795,4.9305,4.8781,4.838,4.8078,4.726,4.6085,4.467,4.3466,4.1829,3.9926,3.9779,3.9383,3.8689,3.9265,3.9242,3.9104,4.004,4.0266,4.0111,4.0865,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1196,4.1859,4.2513,4.2874,4.3432,4.401,4.4531,4.4964,4.5287,4.5475,4.5795,4.5901,4.5688,4.6491,4.7351,4.7002,4.7378,4.7918,4.8137,4.8514,4.8703,4.8762,4.9173,4.9886,5.074,5.0078,4.9938,5.0743,4.9791,4.8873,4.8245,4.7671,4.734,4.734,4.734,4.7649,4.8558,4.8611,4.8784,4.9035,4.9061,4.9061,4.9061,4.9061,4.9348,4.9871,4.9142,4.8528,7.1139,7.4226,7.6941,7.8407,7.9028,7.9023,7.7959,7.792,7.7515,7.5503,7.5648,7.5666,7.4221,7.4208,7.3914,7.232,7.1781,7.1143,6.9873,6.9432,6.8814,6.7724,6.7125,6.6582,6.5855,6.4911,6.3638,6.2087,6.0598,5.9049,5.7652,5.5537,5.3835,5.2472,5.1113,5.0183,4.9892,4.9079,4.8581,4.8078,4.7053,4.5768,4.437,4.3159,4.1963,4.0703,4.0083,3.9826,3.9756,3.9872,3.9988,4.0243,4.0703,4.0932,4.0841,4.1124,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1437,4.1842,4.1934,4.2152,4.2499,4.3551,4.4607,4.5262,4.4986,4.5526,4.6068,4.5647,4.6077,4.6561,4.6478,4.6967,4.732,4.732,4.7664,4.8177,4.8511,4.9108,4.9707,5.0123,5.0566,5.0921,5.1407,5.1095,5.0864,5.1125,5.043,4.977,4.9116,4.8921,4.8732,4.8799,4.8917,4.8956,4.8842,4.8989,4.9333,4.9636,4.9636,4.9756,5.0022,5.0175,5.0071,4.9858,4.952,4.9317,7.1695,7.4699,7.7111,7.9062,7.9537,7.9505,7.9327,7.8748,7.7961,7.6839,7.665,7.6408,7.528,7.5283,7.4851,7.2996,7.2434,7.1814,7.0555,7.0126,6.9571,6.8622,6.7704,6.6809,6.6176,6.5259,6.4057,6.2459,6.0965,5.9526,5.8181,5.6347,5.4789,5.3401,5.1852,5.0854,5.0437,4.9651,4.8837,4.8078,4.7065,4.5661,4.4042,4.2937,4.1915,4.0966,4.0153,3.9896,0.0,4.0363,4.0479,4.0735,4.1057,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.122,4.1413,4.1938,4.249,4.2842,4.2855,4.3119,4.4269,4.517,4.583,4.5468,4.5987,4.6395,4.6029,4.6435,4.6922,4.6922,4.7304,4.7766,4.8204,4.8599,4.908,4.9778,5.0243,5.0709,5.1204,5.1374,5.1591,5.1954,5.1583,5.1293,5.1269,5.0631,5.0086,4.962,4.9479,4.9385,4.9264,4.9412,4.9393,4.9256,4.9379,4.9852,5.0305,4.9975,5.0097,5.0673,5.0669,5.0581,5.0155,5.0128,5.0147,0.0,7.4293,7.6229,7.896,7.9262,7.9144,7.9942,7.8905,0.0,7.7626,7.6983,7.6328,7.6072,7.5917,7.5156,7.3216,7.2623,7.2011,7.0847,7.0247,6.9915,6.9827,6.8244,6.6981,6.6246,6.5294,6.4057,6.2459,6.148,6.0187,5.8388,5.7381,5.6277,5.4791,5.3019,5.1727,5.115,5.0414,4.9421,4.8162,4.7264,4.5843,4.3899,4.2856,4.1769,4.0735,4.0153,4.0013,4.0339,4.0595,4.0735,4.0735,4.1081,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1268,4.1846,4.2611,4.326,4.3688,4.4042,4.4369,4.4926,4.5413,4.5668,4.5959,4.6212,4.6578,4.6552,4.6803,4.7027,4.7027,4.7702,4.8626,4.9415,4.989,5.0479,5.1602,5.1593,5.1502,5.1765,5.1765,5.1863,5.2191,5.1669,5.1296,5.1372,5.0585,4.9993,4.9819,4.958,4.9271,4.8927,4.8927,4.9157,4.972,4.9871,5.0227,5.0994,5.0278,5.0278,5.112,5.0818,5.0845,5.0941,5.1042,5.1347,7.0213,0.0,7.6226,7.7743,7.8588,7.9128,0.0,7.9093,7.8563,7.7829,7.7495,7.7074,7.6188,7.5917,7.5347,7.4017,7.3536,7.2879,7.1626,7.088,7.0782,7.1516,6.9709,6.8027,6.7127,6.5607,6.4057,6.2459,6.135,6.005,5.8388,5.756,5.6649,5.5468,5.4618,5.3398,5.1609,5.112,5.015,4.8808,4.7891,4.6561,4.4823,4.3373,4.2232,4.1378,4.0455,4.0479,4.0942,4.0711,4.085,4.1081,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1172,4.1341,4.2279,4.3048,4.353,4.433,4.4667,4.4942,4.5271,4.5952,4.6417,4.6076,4.6513,4.6953,4.6772,4.7351,4.8011,4.8268,4.8948,4.9605,4.9881,5.0361,5.0815,5.1449,5.1239,5.1255,5.2068,5.1883,5.1857,5.2444,5.2146,5.1751,5.1511,5.1033,5.0658,5.0054,4.9796,4.9643,4.9444,4.9723,4.9774,4.9645,4.9926,5.0104,5.0359,5.0768,5.1023,5.112,5.1614,5.1897,5.1717,5.2356,5.2685,6.8999,7.2352,7.5208,7.6707,7.7517,7.8184,7.9,7.8593,7.7971,7.781,7.7479,7.7001,7.6249,7.5967,7.5449,7.4246,7.3764,7.3254,7.2191,7.164,7.1463,7.1741,6.9951,6.8235,6.7052,6.5575,6.4057,6.2459,6.1432,6.0102,5.8561,5.8026,5.7333,5.6092,5.5704,5.4594,5.2694,5.2049,5.0777,4.898,4.8002,4.6441,4.4469,4.3218,4.2232,4.1378,4.0711,4.0711,4.1196,4.0966,4.1081,4.1172,4.1081,4.0942,4.0942,4.0826,4.0711,4.0711,4.0711,4.1136,4.1803,4.2832,4.3578,4.4183,4.462,4.5012,4.525,4.549,4.6075,4.6491,4.64,4.6764,4.7247,4.7198,4.7821,4.8472,4.8852,4.939,5.0102,5.0512,5.0924,5.1483,5.187,5.1924,5.2004,5.2325,5.2257,5.2226,5.2686,5.2641,5.2371,5.2227,5.1896,5.1383,5.0865,5.0611,5.033,4.9967,5.0348,5.0499,5.0368,5.0499,5.063,5.063,5.143,5.169,5.1383,5.1998,5.2411,5.2516,5.3258,5.3824,6.773,7.0863,7.3562,7.5569,7.6316,7.6961,7.8457,7.7738,7.6941,7.7739,7.7175,7.651,7.6301,7.6052,7.5449,7.4173,7.3686,7.3274,7.2742,7.2447,7.205,7.1341,6.9697,6.7991,6.6518,6.5227,6.3954,6.2425,6.148,6.0304,5.8864,5.871,5.805,5.6684,5.6423,5.5546,5.3911,5.2894,5.127,4.9138,4.7972,4.6238,4.4029,4.3037,4.2001,4.1172,4.085,4.085,4.1057,4.1057,4.1057,4.1057,4.085,4.0735,4.0735,4.0363,4.0293,4.0364,4.0434,4.133,4.2591,4.324,4.4012,4.4717,4.4717,4.4963,4.5208,4.5453,4.5939,4.6301,4.6516,4.6874,4.7112,4.7571,4.8102,4.8609,4.9072,4.9636,5.0306,5.1171,5.1721,5.2177,5.2508,5.2861,5.2861,5.2588,5.2465,5.2456,5.2786,5.2865,5.2694,5.262,5.2436,5.2042,5.1646,5.1481,5.1197,5.0563,5.1046,5.1272,5.1272,5.1272,5.1272,5.1272,5.188,5.2144,5.191,5.2327,5.2873,5.3443,5.3952,5.4789,6.5192,6.8531,7.1706,7.365,7.5337,7.6609,7.6982,7.6904,7.6943,7.7739,7.7155,7.6421,7.6095,7.5772,7.5187,7.403,7.3279,7.296,7.3417,7.3187,7.2556,7.1207,6.9685,6.8048,6.6279,6.4667,6.3405,6.2391,6.148,6.0619,5.9577,5.9177,5.8487,5.7339,5.6862,5.5956,5.4565,5.3402,5.1818,4.9692,4.8396,4.6865,4.5272,4.3556,4.2257,4.1172,4.085,4.0595,4.0339,4.0339,4.0339,4.0339,4.0595,4.0735,4.0735,4.0595,4.088,4.133,4.1757,4.2423,4.2922,4.3359,4.389,4.4347,4.4347,4.447,4.447,4.447,4.5208,4.5939,4.5939,4.618,4.6642,4.7459,4.7637,4.8084,4.9083,4.9993,5.0804,5.125,5.2162,5.2876,5.2588,5.2588,5.2615,5.2245,5.1747,5.158,5.205,5.1846,5.1794,5.1966,5.191,5.1646,5.0955,5.1565,5.179,5.1394,5.1339,5.1272,5.1272,5.1272,5.1272,5.1272,5.1884,5.2127,5.2174,5.3253,5.3804,5.4105,5.5147,5.5695,6.2633,6.5695,6.8586,7.0837,7.3909,7.6374,7.6531,7.6632,7.6769,7.7118,7.6759,7.6287,7.6013,7.5616,7.5054,7.4161,7.3688,7.3464,7.3591,7.3268,7.241,7.0584,6.931,6.7748,6.5646,6.4319,6.3268,6.2391,6.148,6.0652,5.9914,5.9331,5.861,5.7778,5.6892,5.5789,5.4509,5.3232,5.1807,5.0105,4.8578,4.6882,4.5055,4.335,4.2026,4.0966,4.0595,4.0339,4.0223,4.0223,4.0223,4.0246,4.0434,4.0552,4.0575,4.0737,4.0875,4.1275,4.2155,4.2607,4.2843,4.362,4.413,4.4347,4.4347,4.4347,4.4347,4.4347,4.484,4.5574,4.5574,4.6041,4.6681,4.7395,4.7926,4.8457,4.9482,5.0343,5.0981,5.1106,5.1936,5.2492,5.2094,5.2218,5.2245,5.1846,5.1632,5.1819,5.2672,5.2464,5.2455,5.2884,5.2826,5.2422,5.1879,5.2379,5.2416,5.2004,5.2166,5.204,5.1904,5.204,5.2302,5.2578,5.3265,5.3853,5.415,5.5073,5.5585,5.5621,5.6458,5.685,5.9748,6.2605,6.5263,6.7602,7.1601,7.5131,7.5948,7.6001,7.5968,7.6161,7.6219,7.6018,7.5361,7.4996,7.4711,7.4561,7.4216,7.3912,7.3628,7.3029,7.1766,6.9758,6.8512,6.7053,6.5082,6.3937,6.2987,6.2279,6.148,6.0652,6.0001,5.9331,5.861,5.7871,5.6892,5.572,5.4406,5.302,5.1537,5.0075,4.8273,4.6409,4.4452,4.2739,4.1489,4.0551,4.006,3.9873,3.9873,3.9873,3.9942,4.0223,4.0383,4.0615,4.0778,4.0923,4.0984,4.1199,4.2203,4.2638,4.2809,4.3707,4.4099,4.4099,4.4099,4.4099,4.4123,4.4367,4.4763,4.5282,4.5405,4.6044,4.6985,4.7579,4.8284,4.8938,4.9722,5.0458,5.0994,5.112,5.1622,5.1996,5.1596,5.1977,5.2181,5.1805,5.1946,5.2414,5.3244,5.3027,5.3113,5.381,5.3614,5.3255,5.2967,5.3023,5.289,5.2635,5.2889,5.3028,5.275,5.3167,5.3507,5.3743,5.4493,5.5139,5.5714,5.6409,5.6686,5.6824,5.7399,5.766,5.6342,5.9495,6.2132,6.3886,6.7782,7.186,7.4436,7.4372,7.4074,7.4934,7.5555,7.537,7.3607,7.3455,7.3968,7.5291,7.4544,7.3765,7.3628,7.2442,7.0845,6.8783,6.7114,6.5839,6.4976,6.3449,6.233,6.2009,6.1399,6.06,5.9804,5.9274,5.861,5.7871,5.7084,5.5986,5.4684,5.3232,5.145,4.9142,4.7212,4.5451,4.4078,4.1885,4.0528,4.0094,3.9254,3.893,3.893,3.893,3.9323,4.0117,4.0403,4.0824,4.1312,4.17,4.1761,4.1706,4.2464,4.2776,4.2902,4.3177,4.3326,4.3326,4.3326,4.3326,4.3546,4.4397,4.4816,4.5194,4.5445,4.6486,4.7532,4.8054,4.8482,4.9039,4.9952,5.0334,5.0741,5.0994,5.1622,5.1996,5.1596,5.2292,5.2686,5.2076,5.2155,5.2459,5.3023,5.2615,5.2573,5.3427,5.3204,5.2992,5.3048,5.2858,5.3032,5.332,5.3725,5.3893,5.3893,5.4319,5.4319,5.3942,5.4769,5.5357,5.5714,5.6132,5.6548,5.6824,5.7399,5.766,5.2451,5.5799,5.9176,6.1614,6.3802,6.6548,7.1171,7.1986,7.2206,7.3553,7.3914,7.3662,7.2585,7.2841,7.3333,7.3654,7.3763,7.3529,7.2704,7.1765,7.0271,6.781,6.6438,6.5019,6.3302,6.2576,6.1941,6.1369,6.0603,6.0055,5.9914,5.8494,5.7719,5.784,5.6586,5.5395,5.4479,5.302,5.1204,4.8865,4.7302,4.5821,4.4245,4.2328,4.0878,4.0043,3.9356,3.8987,3.8812,3.8812,3.9163,3.9652,4.0393,4.0969,4.1599,4.1982,4.2166,4.2086,4.265,4.2822,4.2822,4.32,4.3326,4.3373,4.3726,4.382,4.3937,4.4559,4.5219,4.5797,4.61,4.6646,4.7366,4.7844,4.8293,4.8849,4.9411,5.0104,5.0588,5.0715,5.1405,5.2045,5.1918,5.2258,5.2518,5.2258,5.2353,5.289,5.3855,5.3427,5.3608,5.4719,5.4099,5.3594,5.371,5.3642,5.3912,5.4402,5.4076,5.3992,5.3992,5.442,5.4737,5.492,5.5609,5.6238,5.6764,5.7306,5.7729,5.7869,5.8104,5.8183,4.9596,5.2895,5.6328,5.8568,5.9886,6.1768,6.6231,6.8324,6.9827,7.1636,7.1852,7.1788,7.1916,7.2165,7.2365,7.2528,7.272,7.2559,7.1643,7.068,6.9216,6.6722,6.5376,6.3978,6.2191,6.1601,6.1075,6.0393,5.9709,5.9282,5.9112,5.7721,5.7052,5.7526,5.612,5.5152,5.4611,5.302,5.1179,4.8884,4.7336,4.5775,4.4206,4.2229,4.086,4.0053,3.9286,3.8806,3.8693,3.8812,3.9021,3.9533,4.0418,4.1011,4.1377,4.1774,4.1956,4.2084,4.2189,4.2316,4.2316,4.2696,4.2915,4.3125,4.3624,4.3857,4.4067,4.4711,4.5395,4.6156,4.6463,4.707,4.7491,4.7881,4.8435,4.8837,4.9202,5.0102,5.087,5.0742,5.1486,5.2259,5.213,5.2334,5.2506,5.2685,5.2928,5.3487,5.4569,5.429,5.4416,5.5242,5.4427,5.403,5.4451,5.45,5.4819,5.5508,5.5139,5.4961,5.4787,5.5371,5.5792,5.6022,5.687,5.7508,5.7918,5.8615,5.9045,5.9188,5.9045,5.9045,4.8031,5.1018,5.3521,5.4454,5.6174,5.8005,5.9611,6.3201,6.6888,6.9095,6.9468,6.9872,7.135,7.1019,7.1019,7.2407,7.1615,7.0745,7.0539,6.9136,6.7389,6.5322,6.3779,6.2581,6.1917,6.0529,5.9525,5.9164,5.8786,5.8133,5.7291,5.7034,5.6829,5.6804,5.6092,5.5445,5.5119,5.3442,5.1484,4.9422,4.7004,4.516,4.3869,4.1399,4.0208,3.9837,3.8953,3.8465,3.838,3.8693,3.9107,3.9674,4.0298,4.0554,4.0621,4.1136,4.1315,4.1315,4.1315,4.1315,4.1315,4.1678,4.2169,4.273,4.2967,4.3441,4.3923,4.4851,4.5412,4.5927,4.6713,4.7497,4.8026,4.8445,4.8837,4.9202,4.9461,5.056,5.1356,5.0966,5.1921,5.2698,5.2331,5.2792,5.3222,5.3351,5.3935,5.4518,5.5076,5.487,5.4587,5.4587,5.408,5.4034,5.5016,5.5233,5.5619,5.6614,5.712,5.7023,5.6477,5.745,5.7725,5.7247,5.845,5.9045,5.9045,5.9783,6.0367,6.0829,6.0367,6.0367,4.5838,4.868,5.137,5.243,5.4626,5.6841,5.8042,6.0641,6.3266,6.5015,6.5464,6.5758,6.6537,6.7195,6.7838,6.8639,6.8902,6.8925,6.8365,6.7174,6.5786,6.4304,6.2809,6.1401,6.0215,5.9592,5.9066,5.8464,5.7899,5.7445,5.7259,5.6018,5.5534,5.5931,5.5287,5.4648,5.4101,5.2867,5.1237,4.908,4.6831,4.5132,4.3812,4.1683,4.0423,3.9859,3.9059,3.853,3.8118,3.8358,3.8567,3.8814,3.9657,4.0038,4.015,4.1002,4.1315,4.1315,4.1315,4.1539,4.1831,4.1961,4.2407,4.3144,4.364,4.3978,4.4474,4.5114,4.5522,4.5973,4.6516,4.6965,4.7364,4.7786,4.8313,4.8936,4.9306,5.0293,5.1198,5.1448,5.2114,5.2629,5.2495,5.2709,5.3128,5.352,5.3747,5.4059,5.4727,5.5346,5.5576,5.5534,5.4964,5.5107,5.6122,5.6167,5.6467,5.7095,5.8274,5.8452,5.7525,5.7801,5.7901,5.7725,5.8625,5.9045,5.9045,6.0076,6.0684,6.0829,6.0684,6.0684,4.4703,4.7461,5.0031,5.0741,5.3003,5.5353,5.6485,5.9079,6.1422,6.2335,6.2604,6.2798,6.3173,6.3715,6.4345,6.4975,6.5693,6.6123,6.5986,6.5383,6.441,6.3081,6.1962,6.0718,5.9115,5.8689,5.8227,5.7498,5.6869,5.6498,5.6284,5.5229,5.4781,5.5211,5.4575,5.4043,5.3516,5.2196,5.0409,4.8277,4.6433,4.4645,4.3177,4.1742,4.0725,4.0105,3.9103,3.8486,3.8118,3.8141,3.8372,3.8497,3.9153,3.9574,3.9863,4.0862,4.1217,4.1239,4.1417,4.1683,4.1927,4.2082,4.266,4.351,4.3826,4.448,4.4979,4.5278,4.5619,4.589,4.616,4.6705,4.7361,4.7678,4.8328,4.8969,4.9554,5.0638,5.157,5.1924,5.243,5.3021,5.3088,5.3142,5.3482,5.426,5.442,5.4652,5.506,5.546,5.5757,5.5803,5.557,5.5734,5.6756,5.6958,5.721,5.7868,5.9178,5.9533,5.9211,5.9235,5.926,5.9186,5.9768,6.0118,6.0036,6.0927,6.1369,6.1516,6.1369,6.1369,4.4421,4.7018,4.9186,4.9433,5.1457,5.3717,5.5074,5.7917,6.0286,6.0284,6.0372,6.055,6.0617,6.0456,6.0572,6.1495,6.2129,6.2794,6.3445,6.3563,6.3119,6.1938,6.1155,6.0145,5.8526,5.7819,5.7047,5.6348,5.581,5.5247,5.4717,5.4401,5.4378,5.47,5.4047,5.3434,5.3025,5.1402,4.9474,4.7038,4.5729,4.4079,4.2293,4.155,4.0896,4.0382,3.9029,3.8365,3.8328,3.79,3.8045,3.853,3.8766,3.9122,3.9668,4.0651,4.1,4.1066,4.1524,4.1721,4.1765,4.2034,4.277,4.3556,4.3985,4.4619,4.5415,4.5438,4.5734,4.6029,4.6029,4.6923,4.7861,4.8076,4.8851,4.9569,4.9884,5.1398,5.2557,5.2226,5.2977,5.3645,5.3708,5.3783,5.416,5.5239,5.5576,5.5657,5.5682,5.5358,5.5424,5.5898,5.5678,5.6009,5.7393,5.7597,5.8105,5.9067,5.9979,6.0801,6.1139,6.1255,6.1097,6.1089,6.153,6.1583,6.1499,6.1927,6.2351,6.2677,6.2351,6.2351,4.3889,4.5718,4.7326,4.8557,5.0506,5.2666,5.4185,5.4701,5.5001,5.5689,5.6185,5.655,5.6524,5.6491,5.6975,5.8311,5.8831,5.9711,6.1412,6.1317,6.1257,6.1663,6.0078,5.8831,5.8458,5.6727,5.5562,5.5292,5.4365,5.3745,5.37,5.3418,5.3395,5.3684,5.3709,5.3221,5.2077,5.064,4.9035,4.7038,4.4853,4.3127,4.1911,4.1164,4.0254,3.883,3.7906,3.7579,3.7696,3.7327,3.7558,3.8284,3.8641,3.9122,3.9668,4.0651,4.0867,4.0645,4.1121,4.1532,4.1878,4.1878,4.2732,4.368,4.4116,4.4867,4.5551,4.5828,4.6242,4.668,4.6959,4.7445,4.8187,4.8887,4.927,4.9829,5.0518,5.1544,5.2554,5.3281,5.3948,5.4401,5.4361,5.4386,5.4612,5.529,5.5722,5.6076,5.6203,5.5904,5.6015,5.7155,5.6829,5.7023,5.8679,5.9044,5.9541,6.0473,6.1565,6.2256,6.2782,6.1818,6.1457,6.2118,6.2249,6.2353,6.2716,6.3014,6.308,6.3231,6.308,6.308,4.325,4.4959,4.6733,4.8999,5.0396,5.1461,5.2672,5.2486,5.1963,5.1577,5.2152,5.2942,5.3338,5.3265,5.3706,5.5209,5.5944,5.6875,5.8307,5.8631,5.8876,5.9239,5.8374,5.7527,5.7049,5.6068,5.5173,5.4371,5.3902,5.3423,5.272,5.2839,5.2847,5.2878,5.3152,5.2642,5.1298,4.9852,4.8001,4.5911,4.389,4.2015,4.0366,4.0236,3.9585,3.8486,3.7997,3.7783,3.7946,3.7459,3.7881,3.8816,3.8825,3.9496,4.0323,4.08,4.1077,4.1201,4.14,4.1722,4.1936,4.1936,4.2818,4.3771,4.4051,4.4827,4.563,4.5912,4.6234,4.658,4.6862,4.7654,4.8662,4.9369,4.9907,5.0531,5.1345,5.2305,5.3222,5.3778,5.4219,5.4637,5.4913,5.5189,5.544,5.5742,5.6097,5.6277,5.6402,5.682,5.7172,5.7558,5.7765,5.83,5.9048,5.939,6.0022,6.0987,6.2002,6.277,6.3299,6.2796,6.2802,6.3153,6.2996,6.3024,6.3389,6.3538,6.3533,6.3533,6.3533,6.3533,4.2716,4.4776,4.6858,4.959,5.0192,5.034,5.116,5.0985,5.0095,4.86,4.9139,5.0055,5.0611,5.0646,5.108,5.2582,5.3646,5.4593,5.5438,5.6218,5.6649,5.6622,5.6606,5.6294,5.5508,5.5342,5.4708,5.3453,5.3485,5.2989,5.1859,5.2115,5.2238,5.2192,5.2317,5.1698,5.0436,4.8681,4.6624,4.437,4.2566,4.0523,3.8653,3.9099,3.8976,3.8354,3.8291,3.8295,3.8188,3.7869,3.8359,3.943,3.9131,3.9692,4.08,4.1072,4.1388,4.1679,4.1869,4.1919,4.1983,4.2124,4.2892,4.3993,4.4135,4.4892,4.5698,4.5841,4.6194,4.6427,4.666,4.7895,4.9166,4.9908,5.0795,5.158,5.2063,5.3005,5.3998,5.4141,5.4502,5.4988,5.544,5.5917,5.6244,5.6344,5.645,5.6502,5.67,5.7685,5.8335,5.8057,5.8766,5.9404,5.9527,5.9821,6.0455,6.1266,6.2364,6.3083,6.3586,6.4049,6.426,6.4349,6.3797,6.3723,6.4116,6.3933,6.3881,6.3959,6.3881,6.3829,4.2802,4.5219,4.7321,4.8163,4.8822,4.9645,5.0681,5.0001,4.9047,4.8506,4.8636,4.8596,4.8022,4.8715,4.9849,5.1467,5.2348,5.3423,5.4988,5.5227,5.5486,5.6095,5.5339,5.4995,5.5617,5.3723,5.2458,5.2377,5.1572,5.0993,5.0888,5.0704,5.0767,5.1188,5.1055,5.0299,4.8824,4.6946,4.4877,4.2899,4.0017,3.8561,3.8323,3.7665,3.7575,3.7647,3.7237,3.7446,3.8034,3.7485,3.7847,3.868,3.9085,3.9576,4.0174,4.1028,4.1113,4.0962,4.1446,4.1725,4.2204,4.2492,4.3242,4.4062,4.476,4.5401,4.5944,4.6212,4.667,4.7243,4.7965,4.8611,4.9545,5.1193,5.2,5.2325,5.2647,5.3278,5.379,5.4543,5.5376,5.6018,5.6093,5.6168,5.6369,5.6846,5.6849,5.7249,5.8226,5.8619,5.9078,6.0019,6.0193,6.0416,6.0912,6.1446,6.2088,6.291,6.3498,6.4338,6.5108,6.4894,6.5128,6.6024,6.5076,6.5024,6.592,6.49,6.4665,6.5136,6.4639,6.443,4.3273,4.5136,4.6673,4.7734,4.8544,4.9152,4.9555,4.9228,4.8421,4.7566,4.7328,4.7036,4.6456,4.763,4.9103,5.0154,5.1526,5.2748,5.3452,5.3569,5.3586,5.3742,5.3471,5.3204,5.3011,5.2644,5.181,5.0338,5.0575,5.039,4.939,4.9408,4.9572,5.0051,4.9738,4.8952,4.7662,4.5858,4.331,3.9893,3.7996,3.7003,3.6972,3.6638,3.7084,3.7983,3.7514,3.7728,3.8366,3.7916,3.822,3.8954,3.9157,3.9778,4.0265,4.0528,4.0927,4.1221,4.1274,4.1544,4.1897,4.2314,4.2984,4.3805,4.4078,4.5057,4.6111,4.6239,4.6911,4.7782,4.8434,4.9155,4.9949,5.1315,5.1944,5.2363,5.2875,5.359,5.4353,5.5113,5.5751,5.6219,5.6219,5.6365,5.6687,5.7242,5.7892,5.8523,5.9211,6.0019,6.0795,6.1115,6.1416,6.1692,6.1646,6.2315,6.2821,6.3299,6.3972,6.4756,6.5548,6.5574,6.5834,6.6406,6.5699,6.5673,6.673,6.6207,6.6103,6.6338,6.6076,6.5972,4.2881,4.4329,4.5524,4.6643,4.7686,4.8498,4.8802,4.875,4.8395,4.7622,4.7106,4.6467,4.5694,4.7044,4.8459,4.9346,5.1011,5.2272,5.2523,5.2378,5.2048,5.1511,5.1777,5.1691,5.1051,5.1814,5.1345,4.9167,5.0101,4.9945,4.8195,4.8461,4.8622,4.8621,4.8278,4.7405,4.5859,4.3786,4.0769,3.6924,3.6248,3.587,3.5879,3.5879,3.666,3.8133,3.7685,3.7883,3.8416,3.8304,3.8437,3.9009,3.9332,3.9773,4.015,4.0319,4.0675,4.1253,4.1172,4.1439,4.1833,4.2458,4.3106,4.3865,4.4015,4.5039,4.6158,4.6158,4.6876,4.7969,4.8386,4.9135,5.0086,5.1139,5.1745,5.2307,5.3068,5.3972,5.4719,5.5337,5.5926,5.6219,5.6365,5.6656,5.6979,5.7684,5.8539,5.925,5.9814,6.1069,6.1957,6.1957,6.2592,6.2839,6.2543,6.3312,6.3658,6.3664,6.4652,6.533,6.5776,6.6255,6.6594,6.684,6.6425,6.6588,6.7305,6.7148,6.7174,6.7305,6.7148,6.7096,4.0929,4.2389,4.4097,4.4101,4.5405,4.7153,4.8709,4.8814,4.8844,4.9968,4.8992,4.7555,4.6096,4.666,4.7838,4.9407,5.0723,5.1897,5.2836,5.2336,5.1415,5.0309,5.0579,5.0941,5.1366,5.1125,5.0641,4.9854,4.991,4.9251,4.7731,4.8235,4.811,4.6864,4.6551,4.5341,4.3133,3.96,3.668,3.4634,3.4744,3.5043,3.547,3.547,3.6387,3.7702,3.726,3.7348,3.775,3.8037,3.8191,3.8274,3.9164,3.9378,3.9224,4.0368,4.0699,4.0504,4.1254,4.183,4.242,4.3168,4.4096,4.4831,4.529,4.5784,4.6188,4.6188,4.6519,4.7091,4.8012,4.8786,4.9692,5.1071,5.1977,5.2764,5.3068,5.4122,5.5041,5.5041,5.5632,5.6365,5.6656,5.6801,5.7124,5.8002,5.8686,5.925,5.9814,6.1377,6.2402,6.2402,6.3427,6.4094,6.3933,6.4581,6.482,6.4761,6.577,6.6321,6.6312,6.6782,6.7331,6.7932,6.7906,6.7906,6.7932,6.7357,6.7383,6.7932,6.7357,6.7096,4.1379,4.224,4.316,4.4042,4.5878,4.7649,4.8164,4.9474,5.063,5.0614,5.0427,4.9675,4.764,4.7304,4.7665,4.8635,5.0493,5.1969,5.2365,5.241,5.1754,5.0047,4.9604,4.938,4.9368,4.9626,4.9336,4.8272,4.8495,4.827,4.7426,4.6468,4.5913,4.6007,4.4696,4.2669,4.0053,3.7666,3.5769,3.4248,3.4339,3.4622,3.5085,3.5627,3.623,3.7009,3.7274,3.7482,3.7616,3.777,3.7934,3.8262,3.8718,3.9007,3.9514,3.9979,4.0257,4.0459,4.134,4.1895,4.2392,4.2981,4.378,4.4452,4.4452,4.5305,4.6206,4.6206,4.7047,4.7956,4.8444,4.9116,4.9853,5.1597,5.2744,5.3778,5.4087,5.4896,5.5557,5.5557,5.6151,5.6656,5.6801,5.721,5.7703,5.8414,5.9273,5.999,6.0587,6.1832,6.2792,6.3156,6.3908,6.4372,6.4575,6.5304,6.5699,6.533,6.6354,6.7011,6.7383,6.7566,6.7932,6.8533,6.8899,6.8899,6.8533,6.8324,6.8507,6.9082,6.8481,6.8612,4.0796,4.1403,4.224,4.369,4.5236,4.6887,4.8502,4.9975,5.1136,5.1836,5.1921,5.1425,4.9678,4.8895,4.8549,4.8692,5.0459,5.194,5.2089,5.2491,5.1915,4.9683,4.8956,4.8458,4.8026,4.846,4.8232,4.7005,4.7338,4.7157,4.6346,4.538,4.4778,4.4821,4.2619,4.0291,3.8012,3.6432,3.4941,3.3558,3.3867,3.4123,3.4564,3.5393,3.6051,3.6703,3.7287,3.7616,3.7616,3.777,3.8036,3.835,3.8665,3.903,3.9535,4.0005,4.0276,4.0624,4.1354,4.1807,4.218,4.2778,4.3535,4.4255,4.3949,4.5098,4.6462,4.6301,4.7259,4.8404,4.8565,4.9388,5.0409,5.1989,5.3418,5.4603,5.5206,5.5727,5.6073,5.5877,5.645,5.7004,5.6972,5.7641,5.82,5.8589,5.9725,6.0525,6.0771,6.2306,6.3407,6.3774,6.4663,6.5372,6.5499,6.605,6.6364,6.6036,6.6907,6.7566,6.7958,6.8168,6.8455,6.8847,6.9213,6.9318,6.9135,6.9344,6.9631,6.9997,6.9605,6.9671,0.0,0.0,0.0,4.2621,4.3169,4.4637,4.9521,4.9866,5.0131,5.3714,5.3528,5.2653,5.2041,5.1296,5.0453,4.9709,5.0748,5.174,5.2098,5.253,5.182,4.9189,4.8561,4.8093,4.7479,4.7631,4.7306,4.634,4.6466,4.6027,4.467,4.5208,4.4821,4.3301,4.0426,3.8268,3.6908,3.5535,3.4159,3.2633,3.3184,3.3805,3.4101,3.5093,3.6017,3.6963,3.7412,3.7616,3.7636,3.8058,3.8192,3.8412,3.931,3.9352,3.9275,4.0464,4.0762,4.068,4.1443,4.1742,4.2027,4.2757,4.369,4.4474,4.4442,4.5678,4.6887,4.6578,4.7361,4.8336,4.8336,4.9674,5.1344,5.2605,5.3952,5.528,5.6046,5.6415,5.6516,5.5975,5.6725,5.7582,5.7482,5.7953,5.8523,5.8549,5.9804,6.0684,6.0248,6.2685,6.4234,6.426,6.5781,6.6738,6.6846,6.6899,6.7003,6.707,6.7671,6.8011,6.8011,6.8533,6.8847,6.8847,6.8873,6.9161,6.9736,7.0285,7.0598,7.0624,7.0651,7.011,3.8631,0.0,0.0,0.0,0.0,0.0,4.6545,4.7925,4.9315,5.2442,5.3039,5.2957,5.3136,5.3177,5.2787,5.1595,5.182,5.1924,5.1218,5.2127,5.1667,4.8431,4.7353,4.6668,4.6118,4.5765,4.5861,4.656,4.5782,4.5309,4.5273,4.4065,4.2523,4.0714,3.9649,3.8017,3.5765,3.5625,3.4848,3.3355,3.4193,3.4704,3.4872,3.6012,3.6679,3.6963,3.7698,3.8223,3.8397,3.797,3.8097,3.8445,3.8763,3.9235,3.9731,4.0322,4.0563,4.0566,4.1495,4.2027,4.2249,4.2524,4.3419,4.4462,4.4399,4.5247,4.6122,4.6613,4.7277,4.8025,4.9017,5.0426,5.1812,5.2785,5.4303,5.58,5.6598,5.6975,5.7081,5.6844,5.7145,5.7414,5.7405,5.8239,5.9105,5.95,6.0498,6.1395,6.1702,6.3324,6.4567,6.4691,6.5742,6.6752,6.7269,6.7748,6.8092,6.8188,6.8767,6.8917,6.8612,6.8769,6.8847,6.8847,6.9684,7.018,7.0337,7.0076,7.0363,7.12,7.127,7.072,3.83,3.8516,3.9092,4.0692,0.0,0.0,4.6419,4.7276,4.8336,5.222,5.2829,5.2864,5.3367,5.3584,5.345,5.2594,5.2753,5.2547,5.1272,5.2039,5.1558,4.8227,4.6911,4.5817,4.4844,4.4541,4.4566,4.5015,4.4678,4.4465,4.4436,4.2826,4.1402,4.0259,3.8994,3.7633,3.6144,3.5666,3.4964,3.4122,3.4592,3.4932,3.5098,3.6119,3.6677,3.6958,3.7769,3.844,3.8718,3.8219,3.8286,3.8769,3.8932,3.9416,3.9928,4.0818,4.1055,4.1113,4.1856,4.2152,4.2388,4.2585,4.3438,4.4418,4.4363,4.527,4.6313,4.6575,4.7406,4.8541,4.9911,5.1086,5.2238,5.2861,5.4326,5.5782,5.6526,5.7009,5.7339,5.7473,5.7592,5.7661,5.7549,5.8706,5.9704,5.9906,6.122,6.2319,6.2259,6.3955,6.5247,6.5173,6.6254,6.7249,6.809,6.8304,6.868,6.9259,6.9227,6.9056,6.9154,6.9082,6.9213,6.9213,7.0128,7.0834,7.1304,7.0964,7.1079,7.179,7.2185,7.1626,3.7877,3.8533,3.9412,4.1163,4.1122,0.0,4.7175,4.6945,4.6977,5.1834,5.214,5.1834,5.2693,5.2841,5.274,5.2538,5.3198,5.3245,5.1713,5.2117,5.1383,4.819,4.6801,4.543,4.3652,4.3591,4.3348,4.2733,4.3395,4.3518,4.2727,4.1568,4.0974,4.0824,3.8462,3.7291,3.7229,3.5742,3.4854,3.4734,3.4573,3.4673,3.4962,3.5988,3.6547,3.6846,3.7777,3.846,3.8821,3.8543,3.8688,3.9151,3.9679,3.9849,4.0059,4.1328,4.1797,4.1855,4.2285,4.2461,4.2558,4.3008,4.3765,4.4383,4.4433,4.5647,4.6775,4.6703,4.7822,4.9456,5.078,5.1787,5.2506,5.3024,5.4393,5.5871,5.619,5.6773,5.7498,5.7951,5.8142,5.814,5.8109,5.9447,6.0554,6.0429,6.2167,6.3298,6.2657,6.4667,6.602,6.5775,6.6953,6.8144,6.9101,6.8724,6.8838,7.0202,6.9338,6.8931,6.9459,6.9538,6.9684,6.9684,7.0337,7.1252,7.2402,7.2402,7.2336,7.2372,7.2863,7.245,3.7182,3.7435,3.8183,3.9228,3.9311,0.0,4.2948,4.2791,4.3156,4.7243,4.7802,4.8125,4.9893,5.0895,5.122,5.0174,5.1956,5.2936,5.1319,5.183,5.0932,4.7105,4.6029,4.4808,4.2917,4.2274,4.2092,4.2426,4.2734,4.2484,4.158,4.1056,4.0196,3.8782,3.7692,3.6825,3.6063,3.5588,3.5231,3.5098,3.5456,3.5541,3.5335,3.6517,3.6933,3.6846,3.7777,3.8512,3.8999,3.8546,3.8688,3.9191,3.9722,3.9824,4.0059,4.1328,4.1797,4.1855,4.2285,4.2656,4.3027,4.3437,4.3701,4.4097,4.5068,4.5532,4.6308,4.7897,4.8945,4.9867,5.0864,5.1787,5.2506,5.3024,5.4696,5.6287,5.6669,5.7647,5.8656,5.9286,5.8972,5.8641,5.898,6.0164,6.1273,6.2238,6.3279,6.4007,6.4355,6.5609,6.6469,6.6936,6.7353,6.8323,6.9861,6.9601,6.9745,7.0555,7.0202,6.9709,6.9459,6.9538,6.9684,6.9684,7.0729,7.1801,7.2951,7.2623,7.2398,7.2604,7.2317,7.1952,3.6599,3.6821,3.7263,3.847,3.8454,0.0,0.0,4.107,4.1088,4.4183,4.4655,4.4923,4.62,4.7039,4.7785,4.8627,4.9798,5.0415,4.9907,5.0748,5.0176,4.669,4.4894,4.3207,4.1515,4.1003,4.1244,4.2392,4.2166,4.1801,4.138,4.0407,3.9321,3.8261,3.6965,3.6227,3.6203,3.5561,3.5231,3.548,3.5579,3.5666,3.579,3.6621,3.7058,3.7198,3.8129,3.8623,3.9004,3.8808,3.9009,3.9525,3.9849,3.9868,4.0046,4.1483,4.195,4.1888,4.2689,4.3359,4.3769,4.3984,4.4155,4.4491,4.5337,4.5895,4.6536,4.8454,4.9351,4.9847,5.0839,5.2152,5.3163,5.3136,5.4925,5.6733,5.6842,5.8062,5.9488,5.9979,6.0105,6.018,6.0184,6.1336,6.2425,6.3019,6.4232,6.5103,6.5149,6.6015,6.6768,6.723,6.7541,6.8338,7.0173,6.9867,7.004,7.1069,7.0798,7.0308,6.9816,7.0162,7.056,7.099,7.1827,7.2513,7.3195,7.2941,7.2887,7.2986,7.2715,7.2319,3.5859,3.6189,3.6588,3.7869,3.7753,3.7952,0.0,0.0,0.0,4.1369,4.17,4.1763,4.2484,4.2942,4.3919,4.5889,4.6663,4.701,4.7095,4.8141,4.8087,4.5938,4.3797,4.1859,4.0359,3.9884,4.03,4.1869,4.1246,4.0878,4.0911,3.9451,3.8362,3.7889,3.6159,3.5686,3.6454,3.5461,3.5253,3.5721,3.5579,3.5666,3.6121,3.6597,3.7053,3.7398,3.8326,3.8692,3.8726,3.8889,3.9365,3.984,3.9896,4.0043,4.0318,4.1833,4.232,4.221,4.337,4.3915,4.4246,4.4421,4.4759,4.5239,4.5661,4.6312,4.7165,4.8626,4.9452,4.9974,5.095,5.2506,5.3821,5.3388,5.5316,5.7204,5.7169,5.8627,6.0191,6.0519,6.1608,6.2131,6.1422,6.2409,6.3422,6.381,6.5021,6.5892,6.5747,6.6477,6.7178,6.7641,6.7579,6.8325,7.0136,6.9942,7.033,7.1229,7.1069,7.0689,7.0331,7.0884,7.1555,7.2278,7.2826,7.3042,7.325,7.3349,7.3263,7.3391,7.3291,7.2891,3.4514,3.5187,3.5969,3.6502,3.6303,3.6257,3.6995,0.0,3.6214,3.7803,0.0,3.8305,3.9092,0.0,0.0,3.935,4.1966,4.3602,4.2006,4.23,4.2922,4.3504,4.2994,4.194,4.0359,3.9103,3.8851,3.9812,3.9094,3.8711,3.9025,3.8143,3.7364,3.6795,3.5442,3.5069,3.5779,3.5229,3.5253,3.5721,3.5823,3.5915,3.6121,3.6853,3.7182,3.6983,3.7901,3.8142,3.8027,3.8323,3.9129,3.9824,3.9883,4.0391,4.1211,4.209,4.2676,4.2962,4.3485,4.3813,4.3987,4.4759,4.5469,4.5981,4.5868,4.6502,4.7621,4.8585,4.9525,5.0358,5.1033,5.2506,5.3821,5.3727,5.5811,5.7759,5.7947,5.9665,6.1189,6.1588,6.2925,6.3786,6.3217,6.3068,6.3688,6.547,6.567,6.5977,6.679,6.7071,6.758,6.8739,6.8216,6.8438,6.9965,7.0164,7.0297,7.066,7.0691,7.0877,7.0917,7.1346,7.1848,7.2319,7.2528,7.2912,7.3478,7.2976,7.2911,7.3418,7.3093,7.269,3.3473,3.3615,3.4026,3.5227,3.4593,3.405,3.5432,3.5111,3.4605,3.4952,0.0,0.0,0.0,0.0,0.0,0.0,3.8019,3.9115,3.8798,3.9085,3.9949,4.1504,3.9875,3.8456,3.8003,3.7718,3.8084,3.9282,3.7717,3.6939,3.7471,3.6437,3.5658,3.5376,3.475,3.4561,3.4825,3.4949,3.4986,3.5058,3.5453,3.5936,3.6515,3.685,3.7198,3.7678,3.8582,3.8661,3.8207,3.8886,3.9513,3.9902,3.9902,4.0413,4.1287,4.2047,4.2372,4.2529,4.3748,4.4025,4.4222,4.4987,4.5678,4.6017,4.6262,4.6841,4.7554,4.8492,4.9601,5.0755,5.0943,5.2924,5.461,5.4216,5.6252,5.8306,5.8566,6.0227,6.1816,6.2365,6.3479,6.4319,6.4249,6.436,6.4777,6.5222,6.5887,6.6469,6.6862,6.7203,6.7915,6.8882,6.8565,6.8769,7.031,7.0264,7.0427,7.0869,7.0961,7.1077,7.1672,7.1896,7.203,7.2422,7.3121,7.3324,7.3027,7.2987,7.3255,7.3623,7.2891,7.274,3.223,3.206,3.2069,3.3654,3.2997,3.2364,3.4054,3.369,3.2899,3.27,3.2653,0.0,0.0,0.0,3.19,3.3122,0.0,3.4644,3.5179,3.54,3.6434,3.8942,3.7167,3.5897,3.6404,3.6522,3.7012,3.8083,3.6137,3.5185,3.5687,3.4743,3.4164,3.4044,3.4131,3.4168,3.3988,3.464,3.488,3.4526,3.523,3.6039,3.6804,3.6929,3.7425,3.8099,3.9007,3.8983,3.8367,3.9229,3.9671,3.9902,3.9902,4.0588,4.1515,4.2145,4.2527,4.271,4.3962,4.4469,4.4644,4.5337,4.5624,4.6131,4.6447,4.6818,4.744,4.831,4.9714,5.0902,5.1067,5.3273,5.5158,5.4744,5.6578,5.8596,5.8929,6.0533,6.2036,6.263,6.3816,6.4582,6.4628,6.4989,6.5295,6.534,6.6222,6.7132,6.7305,6.7717,6.8303,6.9308,6.8852,6.9124,7.0361,7.0643,7.0877,7.1651,7.1363,7.1548,7.2243,7.2446,7.2597,7.2476,7.3429,7.3442,7.2699,7.3129,7.3421,7.3594,7.3167,7.3042,3.0423,3.064,3.0535,3.1685,3.1615,3.1518,3.255,3.1486,3.0523,3.1242,3.0494,2.9469,2.8634,2.921,2.9564,0.0,2.9669,0.0,0.0,3.0074,3.138,3.5266,3.5794,3.5994,3.6451,3.5778,3.5316,3.545,3.3854,3.3101,3.3568,3.323,3.3092,3.3201,3.3718,3.3741,3.3332,3.441,3.488,3.4547,3.5562,3.6349,3.6825,3.726,3.7583,3.7677,3.8575,3.8566,3.7927,3.8819,3.9544,3.9902,3.9902,4.0918,4.2402,4.2422,4.3242,4.4246,4.4354,4.4777,4.5527,4.5418,4.5665,4.6002,4.6403,4.6851,4.7306,4.829,4.9738,5.0981,5.1637,5.3527,5.5335,5.5064,5.6887,5.8758,5.9267,6.0711,6.2036,6.263,6.3958,6.486,6.4441,6.4643,6.524,6.6562,6.7174,6.777,6.8677,6.8794,6.9292,7.0431,6.9593,6.939,7.022,7.0975,7.1833,7.2829,7.2196,7.2142,7.2782,7.3055,7.3044,7.2525,7.3097,7.3281,7.2715,7.2715,7.3016,7.3594,7.3569,7.3845,2.9555,2.9002,2.8561,2.9636,2.9684,2.9754,3.0794,3.0698,3.033,3.038,2.9529,2.8654,2.8176,2.7604,2.6933,0.0,0.0,2.671,0.0,2.639,2.7349,2.9231,3.16,3.3184,3.3365,3.4072,3.4335,3.397,3.2634,3.1901,3.2114,3.1699,3.1632,3.19,3.2836,3.3254,3.2901,3.3983,3.4487,3.4191,3.5148,3.6059,3.6825,3.7281,3.7604,3.7677,3.8575,3.8566,3.7927,3.8819,3.9416,3.9922,4.0195,4.1172,4.2422,4.2422,4.3079,4.3967,4.451,4.5236,4.5924,4.5894,4.5871,4.6016,4.6654,4.7084,4.735,4.8724,5.0012,5.1336,5.1984,5.3963,5.5731,5.5666,5.7054,5.8758,5.9423,6.0706,6.19,6.2757,6.3999,6.4822,6.4785,6.5542,6.6235,6.6344,6.6726,6.7383,6.8417,6.8677,6.919,6.9931,6.9868,6.9936,7.0634,7.1338,7.2127,7.2995,7.2299,7.216,7.2825,7.3113,7.3095,7.2551,7.3122,7.3331,7.274,7.274,7.3217,7.4146,7.4146,7.4247,2.8954,2.8071,2.7365,2.8382,2.839,2.8369,2.9407,2.947,2.9281,2.9138,2.8154,2.7177,2.6673,2.5543,2.4544,0.0,0.0,2.3669,0.0,2.378,2.4538,2.539,2.8498,3.0882,3.1754,3.2318,3.264,3.2638,3.1124,3.0423,3.0891,3.0604,3.0777,3.1399,3.2499,3.2989,3.2771,3.3749,3.4318,3.4191,3.5148,3.6059,3.6825,3.7446,3.7616,3.7677,3.8575,3.8566,3.7927,3.8819,3.9416,3.9941,4.0351,4.1308,4.2441,4.2598,4.3312,4.4218,4.5068,4.5915,4.6295,4.6114,4.613,4.6219,4.6855,4.7112,4.7416,4.8944,5.0454,5.1558,5.2456,5.44,5.5995,5.6086,5.736,5.8969,5.9829,6.1007,6.2046,6.3023,6.4043,6.4913,6.5338,6.6228,6.6846,6.6476,6.7011,6.7916,6.8601,6.9001,6.9529,6.9991,7.017,7.0706,7.1432,7.1436,7.2051,7.3596,7.2573,7.2266,7.3263,7.3191,7.3095,7.2551,7.3122,7.3331,7.274,7.2941,7.3519,7.4423,7.4623,7.4824]},{"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":"2023-06-01T12:00:00:Z","depth":0,"parameterNumber":3,"parameterNumberName":"V-component_of_WINDS"},"data":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5846,1.4397,1.3171,1.271,1.3389,1.45,1.559,1.6594,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.5563,1.3825,1.3419,1.368,1.4692,1.5577,1.6553,1.7494,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.6344,1.566,1.4704,1.4839,1.5171,1.5706,1.6315,1.7007,1.7793,1.8052,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.6179,1.5888,1.569,1.5982,1.6251,1.6315,1.682,1.7324,1.771,1.8163,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.6599,1.6286,1.6286,1.6098,1.6011,1.6266,1.6806,1.7217,1.7524,1.8803,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.6587,1.6484,1.6266,1.6317,1.6365,1.6268,1.6689,1.7003,1.733,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.6869,1.6927,1.6769,1.6352,1.6411,1.6418,1.6217,1.6418,1.6736,1.7067,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.7498,1.7517,1.7265,1.643,1.6324,1.6217,1.5885,1.6111,1.643,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.7796,1.7633,1.7371,1.663,1.643,1.6217,1.5885,1.5992,1.6099,1.643,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.7924,1.7956,1.7782,1.7021,1.6908,1.6717,1.6282,1.627,1.6328,1.643,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.8224,1.8576,1.8509,1.7399,1.7482,1.73,1.6829,1.6804,1.68,1.6643,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0466,3.0055,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.9725,1.9063,1.8568,1.8009,1.7567,1.7116,1.6719,1.6719,1.6587,1.643,1.6533,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.0895,3.0718,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0319,1.9747,1.9299,1.8683,1.8454,1.7956,1.7368,1.7462,1.7145,1.6348,1.6717,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5235,3.4376,3.3736,3.3775,3.3244,3.2232,3.0974,3.1234,3.2562,3.1804,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.4387,3.3853,3.338,3.2494,3.0701,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0978,2.0603,2.0155,1.957,1.9391,1.8972,1.8171,1.8265,1.7849,1.6626,1.6922,1.6948,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.025,2.176,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7649,3.7605,3.7998,3.7925,3.7395,3.7624,3.7289,3.647,3.6462,3.4797,3.1888,3.2015,0.0,3.2401,3.2907,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.5316,3.4748,3.4053,3.3291,3.2544,3.1423,3.0228,2.9162,2.8518,2.7968,0.0,0.0,0.0,0.0,0.0,0.0,2.2843,2.1732,2.0863,2.0499,1.952,1.8821,1.8674,1.8478,1.824,1.7752,1.7557,1.7526,1.7556,1.7145,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.888,2.1092,2.2842,2.4541,2.559,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.8326,3.84,3.8575,3.8973,3.8946,3.8765,3.8395,3.8401,3.8101,3.7576,3.7392,3.6498,3.5081,3.5677,3.5096,3.382,3.4474,3.4753,3.4889,0.0,0.0,0.0,0.0,3.6933,3.6528,3.7156,3.7828,3.833,3.7864,0.0,0.0,0.0,0.0,0.0,0.0,0.0,3.7558,3.7327,3.6602,3.5919,3.5873,3.5169,3.4546,3.4534,3.3879,3.2528,3.0468,2.9622,2.9018,2.8164,2.7759,0.0,0.0,0.0,2.4115,2.3248,2.2162,2.1235,2.0836,2.0178,1.9569,1.9153,1.9153,1.8697,1.7538,1.7767,1.7836,1.7476,1.7535,1.7679,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.0391,2.1992,2.3915,2.5585,2.6639,0.0,0.0,0.0,0.0,0.0,0.0,3.5615,3.7004,3.8115,3.8892,3.9216,3.9537,3.9829,3.9489,3.9208,3.8979,3.8596,3.831,3.8038,3.7757,3.7792,3.8034,3.8707,3.7991,3.6274,3.6103,3.6036,3.6096,3.6864,3.6206,3.5097,3.726,3.7697,3.7334,3.7998,3.8672,3.9182,3.9105,3.8616,3.8118,3.845,0.0,0.0,0.0,0.0,3.8175,3.7742,3.6884,3.6208,3.63,3.581,3.543,3.5882,3.5467,3.4299,3.2046,3.1153,3.0416,2.9351,2.8812,0.0,2.6571,2.5555,2.4594,2.3719,2.2722,2.1824,2.1334,2.0925,2.0277,1.9568,1.9553,1.9008,1.7554,1.7963,1.803,1.7621,1.7854,1.8159,1.8448,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.4307,2.6138,0.0,0.0,0.0,0.0,3.3134,3.4149,3.5395,3.7028,3.8256,3.9043,3.9277,4.0152,4.0227,3.9427,3.9226,3.9043,3.8892,3.8485,3.8217,3.8068,3.7933,3.8303,3.9055,3.9599,3.9944,3.9921,3.76,3.7501,3.8747,3.8281,3.7856,3.7454,3.7731,3.7647,3.7397,3.7662,3.7905,3.815,3.857,3.8186,3.7504,3.7485,3.7085,0.0,0.0,3.7117,3.6958,3.6505,3.6242,3.596,3.5395,3.5466,3.5646,3.6052,3.5507,3.4911,3.4455,3.3553,3.2645,3.2072,0.0,2.9556,2.8337,2.7394,2.628,2.4622,2.3573,2.2843,2.2468,2.1522,2.0578,2.0062,1.9512,1.9074,1.8647,1.8022,1.8024,1.8627,1.7914,1.7631,1.7726,1.8131,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.6029,2.7535,0.0,2.9705,3.0878,3.2479,3.4641,3.5509,3.6741,3.869,3.9574,4.0115,4.0332,4.0718,4.0526,3.9748,3.946,3.905,3.846,3.8207,3.8108,3.8034,3.7928,3.8223,3.8802,3.9427,3.9965,4.0291,3.9477,3.8732,3.812,3.8778,3.8136,3.6887,3.7468,3.7654,3.765,3.8056,3.8573,3.9044,3.9434,3.947,3.9283,3.911,3.8906,3.8577,3.8054,3.7787,3.761,3.7144,3.6821,3.6702,3.7038,3.6693,3.6481,3.706,3.6619,3.5992,3.5962,3.4979,3.3718,3.2407,3.193,3.1042,2.9299,2.8119,2.6864,2.5377,2.4327,2.3397,2.2535,2.1812,2.1029,2.0116,1.9499,1.8829,1.811,1.7953,1.8072,1.8403,1.8374,1.8504,1.8855,1.8958,1.8982,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.4293,2.5734,2.7483,2.9055,3.0413,3.1411,3.2437,3.3843,3.5874,3.658,3.7602,3.92,4.0042,4.0492,4.0454,4.0884,4.0698,3.9966,3.9543,3.9007,3.8432,3.8075,3.8041,3.8293,3.8074,3.8416,3.9093,3.9342,3.969,4.0063,4.0266,3.9444,3.8176,3.9138,3.8602,3.7332,3.7678,3.7977,3.8292,3.8696,3.925,3.9722,4.0011,4.004,3.99,3.952,3.9364,3.9106,3.8126,3.7864,3.781,3.7401,3.7091,3.706,3.753,3.7162,3.6909,3.7373,3.7094,3.6835,3.686,3.5818,3.4554,3.3073,3.281,3.2063,3.0017,2.8747,2.7482,2.6087,2.5002,2.3981,2.3038,2.2195,2.1312,2.04,1.9589,1.8859,1.8126,1.7882,1.7842,1.8233,1.8465,1.8735,1.9217,1.9605,2.0068,2.0574,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.4991,2.5567,2.6632,2.8554,3.0559,3.2266,3.345,3.4944,3.6173,3.6851,3.7385,3.7916,3.8425,3.9652,4.0109,3.966,4.0642,4.0835,4.0125,3.9369,3.8974,3.8938,3.8115,3.8187,3.8903,3.8438,3.8903,4.0013,3.9392,3.9332,3.9626,3.9911,3.9677,3.9187,3.951,3.9385,3.9015,3.8347,3.8622,3.9352,3.9478,3.9768,4.0078,4.0127,3.9725,3.9186,3.8557,3.8255,3.7984,3.711,3.7143,3.7382,3.7091,3.6996,3.6909,3.6627,3.6752,3.6987,3.6937,3.7073,3.7231,3.7259,3.63,3.5201,3.4336,3.3679,3.2595,3.0568,2.9505,0.0,2.6704,2.5465,2.4592,2.3791,2.2719,2.1762,2.0915,1.9771,1.8941,1.8605,1.7764,1.7504,1.8127,1.7995,1.8188,1.8692,1.9901,2.1235,2.2711,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.5206,2.6003,2.6494,2.7411,2.8776,3.087,3.2091,3.3253,3.4333,3.5037,3.5911,3.6994,3.7485,3.8184,3.9194,3.989,4.0353,4.0603,4.1025,4.091,4.0312,4.0094,3.9741,3.9257,3.9164,3.9242,3.9498,3.9618,4.0057,4.0745,4.0294,4.0136,4.0179,3.9776,3.9351,3.8953,3.9325,3.9414,3.9234,3.8719,3.8984,3.9601,3.9657,3.9854,4.0132,4.0377,3.9902,3.9234,3.9246,3.8525,3.7721,3.759,3.7382,3.715,3.7001,3.6923,3.7053,3.7297,3.7405,3.748,3.7805,3.7718,3.7621,3.7397,3.6837,3.6044,3.5234,3.4292,3.3244,3.1739,3.0434,2.9106,2.7819,2.6637,2.5591,2.4574,2.3349,2.2171,2.118,2.0022,1.9161,1.8876,1.8265,1.8024,1.8499,1.8939,1.9757,2.1037,2.1431,2.2023,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.7193,2.8168,2.8732,2.9357,3.0394,3.2152,3.3241,3.4241,3.5183,3.5396,3.5848,3.6811,3.7444,3.8254,3.9259,4.0047,4.0557,4.0762,4.1317,4.125,4.0422,4.0502,4.0209,3.953,3.9385,3.9511,3.9869,4.004,4.0566,4.13,4.1287,4.103,4.0671,4.0325,3.9927,3.9523,0.0,0.0,0.0,0.0,3.961,3.9835,3.9848,3.9912,4.004,4.0519,4.0234,3.9656,3.9686,3.9117,3.8321,3.7904,3.7638,3.7548,3.7511,3.7529,3.7695,3.8034,3.8033,3.7957,3.7972,3.8034,3.7966,3.745,3.7138,0.0,3.5481,3.4679,3.3697,3.242,3.1084,2.9827,2.8695,2.7719,2.6637,2.5282,2.4117,2.2962,2.1811,2.0443,0.0,0.0,0.0,1.8871,1.9566,2.0406,0.0,0.0,0.0,2.3585,2.4394,2.5307,0.0,0.0,2.6998,2.8521,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9335,3.0498,3.1141,3.1339,3.1826,3.2915,3.4119,3.5175,3.5997,3.5838,3.5906,3.635,3.7188,3.8027,3.873,3.9903,0.0,0.0,0.0,4.1557,4.0542,4.0788,4.0625,4.0018,3.9558,3.9658,4.0294,4.0298,4.0745,4.1587,4.2021,4.1809,4.1178,4.1097,4.094,4.0666,3.9792,3.9677,3.9986,4.0493,4.0539,4.0354,4.0346,0.0,0.0,4.0731,4.0632,4.0197,3.9993,3.9676,3.9185,3.8154,3.7963,3.8046,3.8202,3.8245,3.8263,3.8557,3.8561,3.8394,3.7973,3.8233,3.8343,3.7553,3.7221,3.6716,3.5475,3.4775,3.3895,3.26,3.1505,3.0533,2.9641,2.8715,2.753,2.6021,2.4979,0.0,2.2754,2.1048,2.0215,2.055,1.9945,2.0053,2.1032,2.2159,2.3047,2.3721,2.4673,2.5633,2.6673,2.7895,2.8574,2.868,2.8541,2.9717,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9339,3.0454,3.1528,3.2315,3.3313,3.408,3.4575,3.5288,3.5933,3.6517,3.6103,3.5911,3.631,3.6338,3.6846,3.8028,3.8737,3.9505,4.0339,4.1025,4.1299,4.1364,4.1634,4.1884,4.2091,4.2005,0.0,4.1643,4.1802,4.1657,4.1383,4.149,4.1591,4.1609,4.0963,4.1077,4.1619,4.1354,4.1714,4.2426,4.2451,4.246,4.2381,4.2147,4.1838,4.1585,4.1745,4.0914,3.9999,4.056,3.9541,0.0,3.8674,3.8189,3.7573,3.7784,3.7703,3.759,3.7642,3.8233,3.8789,3.8701,3.899,3.9013,3.8262,3.7603,3.6789,3.567,3.4726,3.372,3.2622,3.1812,3.1176,3.0575,2.9518,2.8369,2.7238,2.5654,2.4372,2.3555,2.2223,2.1657,2.2308,2.2402,2.2476,2.2708,2.4205,2.5045,2.5288,2.6801,2.7712,2.7882,2.8887,2.9509,2.9754,3.0494,3.183,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9067,2.9362,0.0,3.0732,3.0951,3.1723,3.2587,3.3437,3.4376,3.4975,3.5001,3.5525,3.5979,3.6014,3.5683,3.5581,3.6003,3.632,3.7015,3.8086,3.9082,3.9817,4.0198,4.111,4.1434,4.1009,4.1716,4.2111,4.2159,4.2159,4.2064,4.1902,4.1985,4.192,4.1647,4.1106,4.1325,4.2018,4.1425,4.1809,4.2648,4.2412,4.2518,4.2846,4.283,4.2742,4.2613,4.2285,4.1781,4.1379,4.1525,4.1018,4.0426,4.0664,3.9982,3.9062,3.9262,3.8837,3.8328,3.8667,3.8782,3.8845,3.8639,3.912,3.9455,3.9084,3.9249,3.9277,3.8512,3.788,3.7022,3.6015,3.5349,3.4527,3.3192,3.2319,3.1607,3.1116,3.0181,2.9147,2.7879,2.7026,2.5907,2.4783,2.3504,2.282,2.3153,2.3609,2.4137,2.4607,2.582,2.6524,2.6585,2.7681,2.8312,2.8568,2.9944,3.0744,3.1104,3.2613,3.359,0.0,0.0,0.0,0.0,0.0,0.0,0.0,2.9184,2.9844,2.9962,3.051,3.1104,3.1414,3.1687,3.1987,3.2392,3.2787,3.3366,3.4489,3.5106,3.5377,3.5317,3.5764,3.5963,3.563,3.5311,3.5377,3.5815,3.6458,3.7215,3.808,3.9364,4.004,3.9946,4.1207,4.1502,4.0691,4.1694,4.2052,4.1782,4.1839,4.1886,4.1833,4.2022,4.21,4.2064,4.1323,4.1641,4.2556,4.2414,4.2887,4.3754,4.3489,4.3294,4.3123,4.3178,4.3138,4.2974,4.2574,4.2054,4.1542,4.163,4.1477,4.1276,4.1247,4.08,4.0314,4.0041,3.9678,3.9392,3.9573,3.9867,4.005,3.9738,3.9938,4.0017,3.9317,3.9421,3.9375,3.8612,3.8066,3.7394,3.6356,3.6122,3.5568,3.4023,3.2982,3.217,3.1679,3.0974,2.9995,2.8508,2.8078,2.7294,2.566,2.4814,2.4281,2.4212,2.5033,2.5844,2.6514,2.7535,2.8083,2.8088,2.8706,2.9232,2.9608,3.1159,3.2131,3.2562,3.4488,3.5158,2.7164,2.9522,3.1717,3.216,3.2302,3.2774,0.0,3.4087,3.3389,3.3574,3.3928,3.3844,3.2789,3.2624,3.2793,3.3063,3.2919,3.3451,3.5219,3.5625,3.5953,3.6766,3.6736,3.6665,3.6741,3.5884,3.5654,3.6415,3.5977,3.6053,3.7011,3.7925,3.8832,3.9908,4.0585,4.1158,4.1722,4.2013,4.2267,4.2483,4.27,4.2495,4.2019,4.2762,4.2866,4.2501,4.3132,4.3484,4.3664,4.4041,4.4432,4.4867,4.4994,4.5001,4.5004,4.5021,4.5298,4.5584,4.493,4.4597,4.4354,4.392,4.3218,4.2674,4.3223,4.2136,4.0802,4.1156,4.0534,3.9744,3.9346,3.9451,3.9503,3.902,3.9478,3.9938,3.9616,3.9827,3.9855,3.8969,3.8566,3.8064,3.6917,3.6464,3.589,3.4513,3.4014,3.3606,3.3012,3.1685,3.0409,2.9638,2.8106,2.6685,2.547,2.6172,2.6731,2.6831,2.7797,2.8388,2.8543,2.9834,3.0367,3.0171,3.1409,3.2014,3.2077,3.2909,3.3396,3.3578,3.5493,3.6491,2.9858,3.1707,3.3055,3.3331,3.4231,3.5119,3.511,3.4864,3.4638,3.4811,3.4525,3.4147,3.395,3.3419,3.3301,3.3831,3.3933,3.4327,3.5293,3.5562,3.5746,3.5869,3.591,3.6151,3.6757,3.641,3.6387,3.6879,3.6849,3.7135,3.7912,3.864,3.9517,4.0487,4.1031,4.1638,4.2403,4.2579,4.2956,4.3391,4.2909,4.2687,4.2653,4.2713,4.2714,4.2655,4.3288,4.3494,4.3458,4.3804,4.4137,4.444,4.4621,4.4993,4.5323,4.5221,4.5149,4.5052,4.4813,4.4423,4.3923,4.3747,4.3202,4.2621,4.2809,4.1959,4.1068,4.1458,4.084,4.0245,4.0389,4.0395,4.0296,4.0098,4.0253,4.0434,4.0132,4.0109,4.0007,3.9677,3.9243,3.8761,3.7885,3.7648,3.7236,3.6193,3.5142,3.4119,3.3308,3.2361,3.1327,3.029,2.9258,2.8342,2.7856,2.8187,2.844,2.8451,2.9001,2.9522,2.9739,3.05,3.0904,3.0918,3.2131,3.2803,3.2934,3.425,3.4996,3.5284,3.6671,3.7741,3.1787,3.3312,3.4192,3.4633,3.5981,3.6906,3.5814,3.5596,3.5678,3.571,3.4901,3.436,3.4529,3.3905,3.3538,3.4059,3.4413,3.4844,3.5344,3.5593,3.5567,3.5353,3.5411,3.5762,3.6504,3.6569,3.6698,3.7117,3.7412,3.7811,3.8366,3.9049,3.9773,4.0636,4.1097,4.1761,4.2663,4.2819,4.3176,4.37,4.2774,4.2564,4.2801,4.2718,4.2902,4.3422,4.392,4.4122,4.4094,4.4265,4.4495,4.4655,4.4847,4.5246,4.5703,4.5701,4.5417,4.507,4.5126,4.4722,4.4115,4.4075,4.3623,4.3152,4.3042,4.2424,4.1779,4.1951,4.1356,4.0874,4.1093,4.1097,4.0997,4.0795,4.0896,4.0795,4.0593,4.0389,4.0185,4.0083,3.9775,3.934,3.8839,3.857,3.8275,3.7678,3.6355,3.5027,3.374,3.2805,3.1929,3.0795,3.0351,3.0061,3.0011,2.998,2.9987,3.0181,3.047,3.0903,3.1297,3.1693,3.2041,3.2249,3.318,3.3819,3.4052,3.5429,3.631,3.6649,3.7759,3.8903,3.2599,3.3834,3.5569,3.676,3.7363,3.7691,3.7975,3.7586,3.697,3.6811,3.5865,3.4935,3.4356,3.3849,3.3518,3.3482,3.3958,3.47,3.577,3.5648,3.5719,3.6235,3.6131,3.5998,3.5998,3.6032,3.6358,3.7174,3.7224,3.7246,3.7528,3.82,3.8915,3.9693,4.0403,4.1245,4.2409,4.2284,4.2548,4.3231,4.2271,4.1945,4.2153,4.2868,4.388,4.5175,4.5834,4.6294,4.6583,4.6293,4.6206,4.6206,4.637,4.6458,4.6527,4.6975,4.6955,4.6777,4.6828,4.6602,4.6225,4.5815,4.5304,4.4841,4.502,4.4081,4.2972,4.2876,4.2262,4.1571,4.1071,4.1097,4.1123,4.0618,4.0694,4.0795,4.0593,4.0491,4.0389,4.0185,4.0083,3.9878,3.9337,3.905,3.8736,3.8396,3.7631,3.6507,3.4958,3.3151,3.1838,3.1329,3.1255,3.1224,3.1252,3.1355,3.1664,3.2275,3.2699,3.3065,3.3453,3.4169,3.4594,3.4983,3.5378,3.5842,3.6228,3.6499,3.6752,3.7099,3.865,3.9778,3.4926,3.6218,3.691,3.747,3.7952,3.8361,3.8565,3.8066,3.7295,3.6468,3.5657,3.4604,3.3353,3.3192,3.317,3.3005,3.3627,3.43,3.4521,3.4531,3.4792,3.5184,3.5168,3.5355,3.5857,3.6243,3.6596,3.6893,3.7196,3.7543,3.79,3.8492,3.9274,4.0294,4.0904,4.1587,4.2585,4.2701,4.3012,4.3487,4.31,4.2922,4.2981,4.3463,4.4166,4.5049,4.537,4.5781,4.6274,4.6245,4.6287,4.6404,4.6554,4.652,4.6472,4.7072,4.6959,4.6636,4.6595,4.6289,4.585,4.594,4.5418,4.4689,4.4936,4.4167,4.3213,4.2999,4.2289,4.1696,4.1498,4.1198,4.0997,4.0997,4.0997,4.0896,4.0997,4.072,4.0491,4.0593,4.0491,4.0287,3.9878,3.9569,3.9154,3.8291,3.6848,3.5689,3.5373,3.3685,3.2678,3.3093,3.3095,3.3172,3.3367,3.3947,3.4401,3.4533,3.4977,3.5305,3.5483,3.5719,3.6003,3.6589,3.7215,3.7749,3.8005,3.8638,3.9069,3.9295,3.9812,4.0872,3.6689,3.7246,3.7307,3.8074,3.8153,3.8176,3.8036,3.7284,3.6356,3.5414,3.4553,3.3441,3.2212,3.2232,3.236,3.247,3.3333,3.4009,3.401,3.4097,3.42,3.4544,3.4441,3.4657,3.5385,3.606,3.6525,3.6839,3.7318,3.7887,3.8356,3.8701,3.9411,4.0475,4.0971,4.1734,4.2685,4.2931,4.3299,4.3615,4.4006,4.4075,4.4078,4.4615,4.54,4.6313,4.6188,4.6422,4.6843,4.6504,4.6562,4.6858,4.7044,4.7211,4.7387,4.7865,4.7803,4.7437,4.6814,4.6273,4.585,4.6171,4.5685,4.5049,4.5172,4.46,4.377,4.3245,4.2582,4.2092,4.1796,4.1498,4.1198,4.1324,4.1198,4.1097,4.1224,4.1023,4.0795,4.0896,4.0795,4.0491,4.0185,3.9775,3.9258,3.8291,3.6939,3.6025,3.5771,3.4644,3.403,3.4628,3.451,3.4613,3.5002,3.5519,3.5791,3.5943,3.6258,3.6601,3.6797,3.6959,3.7254,3.7811,3.8445,3.9024,3.9412,3.9945,4.0503,4.0975,4.1208,4.2136,3.771,3.722,3.6861,3.8453,3.8042,3.7016,3.6671,3.5605,3.4517,3.3705,3.267,3.1741,3.0937,3.0964,3.1187,3.1836,3.282,3.3633,3.4122,3.398,3.3995,3.4332,3.4097,3.4056,3.4667,3.5502,3.6302,3.7014,3.7518,3.8063,3.8605,3.8834,3.927,4.0096,4.0705,4.154,4.2596,4.3105,4.3448,4.3735,4.4795,4.5341,4.5298,4.6178,4.7257,4.8602,4.8142,4.8134,4.8453,4.721,4.7144,4.7769,4.7935,4.8365,4.9024,4.9337,4.9388,4.8979,4.7475,4.6702,4.6448,4.6436,4.6221,4.5898,4.5812,4.5321,4.4612,4.3642,4.3163,4.2776,4.1993,4.1696,4.1696,4.1398,4.1324,4.1324,4.1324,4.1324,4.1224,4.0997,4.0896,4.0821,4.0287,3.9697,3.9179,3.8526,3.8112,3.7394,3.6248,3.5901,3.567,3.5743,3.5486,3.5604,3.6365,3.6148,3.6217,3.6656,3.6917,3.7236,3.7636,3.8059,3.8588,3.8974,3.9247,3.9722,4.0513,4.0596,4.1076,4.215,4.276,4.3583,3.8371,3.8736,3.8689,3.8484,3.7824,3.7205,3.6664,3.5211,3.359,3.2459,3.1493,3.0528,2.8883,2.9512,3.0214,3.0001,3.111,3.2096,3.2554,3.2774,3.3346,3.4403,3.4423,3.4604,3.5358,3.6339,3.6962,3.7006,3.7266,3.7419,3.7494,3.8329,3.912,3.9879,4.1041,4.1854,4.2556,4.3344,4.4112,4.4877,4.5273,4.5837,4.647,4.6734,4.7276,4.804,4.785,4.8157,4.8634,4.8491,4.86,4.8936,4.8903,4.8963,4.8985,4.8965,4.8593,4.8084,4.7553,4.7177,4.6874,4.6303,4.6003,4.5898,4.5842,4.5504,4.4862,4.4303,4.3642,4.3039,4.2679,4.2289,4.1993,4.1895,4.1895,4.1895,4.1895,4.1696,4.1597,4.1498,4.1563,4.1414,4.0771,4.0413,4.0045,3.9436,3.9262,3.8906,3.8215,3.7384,3.7195,3.814,3.8248,3.8299,3.8704,3.9137,3.952,3.9612,4.0096,4.024,4.0041,4.0304,4.0768,4.117,4.1426,4.191,4.2826,4.2997,4.3255,4.3515,4.3802,4.4728,3.8408,3.8471,3.8155,3.7465,3.6635,3.5551,3.4347,3.2749,3.0965,2.9561,2.887,2.8277,2.7233,2.7919,2.8659,2.8747,2.9865,3.0853,3.1415,3.1922,3.2647,3.374,3.3916,3.4164,3.5194,3.6104,3.663,3.6703,3.7214,3.7653,3.7861,3.829,3.8911,3.9719,4.0723,4.181,4.3026,4.4205,4.4996,4.5416,4.6022,4.6576,4.6954,4.7423,4.7947,4.842,4.8369,4.8517,4.8936,4.8836,4.9151,4.9515,4.9515,4.9636,4.9779,4.9555,4.9146,4.8685,4.8341,4.8244,4.7916,4.6762,4.6551,4.6697,4.6546,4.6181,4.578,4.5506,4.4629,4.3697,4.3684,4.316,4.2582,4.2484,4.2387,4.2289,4.2289,4.2092,4.1974,4.2239,4.2154,4.193,4.1852,4.1465,4.1174,4.0869,4.0616,4.036,4.0127,3.9044,3.8591,3.9137,3.9174,3.9355,3.9764,4.0145,4.0629,4.1248,4.1311,4.1517,4.189,4.173,4.1859,4.2213,4.2389,4.2903,4.3901,4.411,4.4547,4.5273,4.5454,4.6191,3.8037,3.7326,3.6515,3.5958,3.4694,3.3116,3.0977,2.9402,2.7873,2.6142,2.5749,2.5727,2.5727,2.6263,2.6874,2.7784,2.8742,2.9766,3.0638,3.1285,3.1929,3.2976,3.301,3.3477,3.4589,3.5361,3.5969,3.6274,3.7246,3.806,3.8489,3.8331,3.8792,3.9822,4.0499,4.189,4.3856,4.5154,4.5694,4.5667,4.6751,4.7152,4.7001,4.8079,4.8769,4.9178,4.9016,4.9047,4.9292,4.9032,4.9277,4.993,4.9855,5.0273,5.0743,5.0356,5.0074,4.9899,4.9497,4.9356,4.9133,4.757,4.7512,4.7911,4.7372,4.707,4.6911,4.6738,4.5732,4.465,4.4705,4.407,4.3396,4.3106,4.2858,4.2609,4.2609,4.244,4.2457,4.2891,4.2801,4.2732,4.3022,4.2735,4.2471,4.2288,4.1851,4.1647,4.188,4.0847,3.9895,3.9673,3.9797,3.9991,4.042,4.0569,4.1191,4.2263,4.1976,4.2203,4.3296,4.2831,4.2642,4.3026,4.297,4.3533,4.4837,4.4837,4.5657,4.7091,4.7186,4.7688,3.7572,3.684,3.5897,3.4367,3.3033,3.1666,2.936,2.7909,2.6746,2.5186,2.4707,2.4479,2.4559,2.4617,2.5204,2.6494,2.7486,2.8442,2.986,3.0619,3.1374,3.2435,3.2719,3.3172,3.3781,3.5084,3.5876,3.5853,3.6692,3.7221,3.7303,3.7738,3.9084,4.1241,4.2118,4.3081,4.4228,4.4741,4.5355,4.6138,4.6697,4.7133,4.7443,4.7904,4.8301,4.8687,4.8953,4.9296,4.9821,4.9928,5.0192,5.0474,5.032,5.0306,5.0356,4.9931,4.9958,5.0215,4.9999,4.9843,4.9604,4.7981,4.8085,4.8595,4.779,4.7462,4.7401,4.694,4.6239,4.5657,4.5296,4.476,4.429,4.3998,4.3545,4.3163,4.3163,4.3573,4.3633,4.3072,4.3873,4.451,4.3801,4.3834,4.3651,4.2945,4.2788,4.2736,4.284,4.1983,4.1542,4.2018,4.2616,4.2924,4.2869,4.3643,4.4075,4.3861,4.4636,4.4983,4.4662,4.4237,4.4406,4.5129,4.4926,4.5452,4.687,4.7059,4.7362,4.7688,4.7846,4.8419,3.6162,3.5097,3.4015,3.212,3.0743,2.9108,2.6332,2.5026,2.3883,2.2589,2.2561,2.2795,2.2936,2.326,2.3804,2.4773,2.574,2.6916,2.8472,2.9312,3.038,3.172,3.2078,3.2596,3.375,3.4765,3.5415,3.5915,3.646,3.6956,3.7497,3.8752,4.0184,4.1853,4.2678,4.3568,4.4678,4.4639,4.5032,4.5901,4.6191,4.6491,4.6756,4.7452,4.7934,4.8271,4.8883,4.9372,4.9773,5.0168,5.0356,5.0434,5.0356,5.0278,5.031,5.0151,5.0172,5.0414,5.0909,5.0769,5.0423,4.9725,4.9583,4.9521,4.9102,4.883,4.8735,4.8594,4.7717,4.6907,4.6775,4.6248,4.5524,4.4927,4.4429,4.4139,4.4042,4.4288,4.471,4.4765,4.4975,4.5146,4.5173,4.5101,4.4758,4.4256,4.4045,4.3834,4.373,4.3677,4.3702,4.33,4.3766,4.4023,4.4057,4.4702,4.5266,4.5492,4.5888,4.6182,4.6307,4.6005,4.5997,4.6405,4.6309,4.669,4.7702,4.7798,4.8336,4.9068,4.9359,4.9999,3.4482,3.3126,3.1597,2.9549,2.7862,2.6215,2.3194,2.1965,2.1345,2.0162,2.0489,2.1242,2.1462,2.182,2.2357,2.3271,2.4136,2.5403,2.7183,2.8052,2.9088,3.0802,3.1113,3.1842,3.3463,3.4134,3.4854,3.584,3.6269,3.6859,3.795,3.9642,4.1064,4.2025,4.2834,4.3849,4.4939,4.4692,4.5043,4.5807,4.6074,4.6181,4.6392,4.7435,4.7925,4.8231,4.9223,4.9715,4.9833,5.0232,5.0422,5.039,5.0311,5.0311,5.0406,5.0618,5.0715,5.0829,5.1661,5.1628,5.1273,5.1542,5.1061,5.0421,5.0333,5.015,4.9991,5.0022,4.9055,4.8101,4.8114,4.7498,4.6696,4.5689,4.526,4.5163,4.4941,4.5216,4.5696,4.6394,4.6079,4.5885,4.6451,4.6326,4.5955,4.5528,4.5421,4.5181,4.4864,4.5502,4.5688,4.4989,4.4904,4.4921,4.4983,4.5367,4.5989,4.6723,4.6742,4.7123,4.7943,4.7572,4.7509,4.772,4.7846,4.8075,4.8563,4.8706,4.9379,5.0558,5.0859,5.1549,3.2685,3.1186,2.9564,2.6316,2.4552,2.2863,2.0284,2.0032,2.0001,1.8998,1.9637,2.0179,1.9962,2.0169,2.066,2.2078,2.3057,2.4336,2.6226,2.7236,2.8131,2.9215,2.9969,3.092,3.2052,3.3066,3.3992,3.4818,3.6181,3.7175,3.7816,3.9253,4.0548,4.1732,4.284,4.377,4.4664,4.5056,4.5594,4.6167,4.6565,4.7203,4.7951,4.8472,4.8863,4.9219,5.0345,5.0704,5.0586,5.0668,5.0749,5.0879,5.0442,5.036,5.0618,5.0838,5.132,5.1878,5.1739,5.1904,5.2215,5.2516,5.188,5.102,5.0697,5.0425,5.0179,4.9961,4.9498,4.8968,4.8711,4.8104,4.7221,4.614,4.5804,4.5804,4.5776,4.6476,4.6923,4.6751,4.7124,4.7438,4.7288,4.7653,4.7608,4.6404,4.6756,4.7081,4.6733,4.7001,4.7539,4.819,4.7512,4.675,4.5997,4.6818,4.7308,4.6779,4.7556,4.832,4.9274,4.8651,4.8895,4.9968,4.9997,5.0125,5.0511,5.0962,5.1309,5.1527,5.1728,5.2059,3.0632,2.8847,2.6756,2.4166,2.2124,2.0364,1.8475,1.8201,1.807,1.7539,1.8465,1.9088,1.8558,1.9212,1.9844,2.0385,2.1591,2.2993,2.4444,2.5611,2.6643,2.7987,2.8803,3.001,3.1496,3.2539,3.3744,3.5475,3.6635,3.7773,3.9272,4.0148,4.1174,4.2418,4.3277,4.4019,4.4916,4.4915,4.5331,4.5989,4.6517,4.7091,4.7753,4.865,4.9343,4.9922,5.077,5.1278,5.1442,5.1391,5.1391,5.136,5.0996,5.0913,5.109,5.1468,5.1729,5.2007,5.2264,5.2273,5.2306,5.2608,5.2246,5.1635,5.1638,5.1364,5.0903,5.053,5.0183,4.9831,4.9223,4.8448,4.7714,4.7263,4.7108,4.7206,4.7206,4.749,4.774,4.7813,4.7912,4.8048,4.8048,4.8337,4.8349,4.7889,4.8053,4.8109,4.7974,4.8517,4.8925,4.8896,4.8969,4.8742,4.8166,4.8882,4.9221,4.8967,4.9398,4.9962,5.0497,5.037,5.0572,5.0803,5.1034,5.1034,5.1034,5.1773,5.2297,5.2428,5.3085,5.3743,2.8597,2.6581,2.4377,2.1857,1.9913,1.8139,1.6766,1.6467,1.6324,1.6191,1.6969,1.7585,1.7226,1.8125,1.8926,1.8994,2.043,2.1894,2.2986,2.4143,2.5548,2.6939,2.7901,2.928,3.0943,3.2418,3.3984,3.5865,3.6766,3.8061,4.0062,4.0763,4.1686,4.3212,4.3676,4.433,4.518,4.5096,4.5397,4.601,4.6612,4.7275,4.8114,4.9242,5.0125,5.0857,5.1678,5.2188,5.2333,5.1999,5.1947,5.1915,5.1577,5.146,5.1553,5.2007,5.2167,5.2229,5.2544,5.2608,5.2397,5.2608,5.2458,5.2246,5.2427,5.2033,5.1479,5.1011,5.0757,5.0309,4.96,4.8862,4.835,4.8252,4.8252,4.8154,4.8252,4.8339,4.846,4.8764,4.8761,4.8897,4.9001,4.9292,4.9304,4.9031,4.9141,4.9226,4.9418,4.9856,5.0212,5.0129,5.05,5.046,4.9671,5.017,5.0484,5.0484,5.0691,5.107,5.1724,5.196,5.2075,5.2145,5.2381,5.2352,5.2145,5.2816,5.3344,5.3756,5.4479,5.5338,2.6293,2.4221,2.2102,1.9193,1.757,1.6124,1.4954,1.484,1.4817,1.4815,1.5321,1.5868,1.6006,1.6766,1.7483,1.8203,1.9727,2.1182,2.2109,2.3252,2.4596,2.6239,2.739,2.8676,3.0266,3.2806,3.4595,3.5218,3.6659,3.8145,3.969,4.0514,4.1777,4.3676,4.4156,4.4639,4.518,4.5688,4.6112,4.6428,4.726,4.8352,4.9611,5.0668,5.1425,5.2033,5.3271,5.3467,5.3007,5.2582,5.2551,5.2605,5.1945,5.177,5.2038,5.2541,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2729,5.2155,5.1572,5.1323,5.0852,5.0405,4.9892,4.9502,4.9207,4.898,4.8681,4.8581,4.8781,4.8991,4.9033,4.9314,4.9926,5.0275,5.0065,5.0678,5.0876,4.9621,5.0039,5.0543,5.0962,5.0738,5.1039,5.2545,5.2698,5.1953,5.0178,5.0455,5.0766,5.0766,5.0766,5.1546,5.2992,5.3049,5.3473,5.4458,5.4487,5.4487,5.4487,5.4487,5.4807,5.5387,5.6035,5.6568,2.363,2.1459,1.9184,1.7024,1.5362,1.4112,1.3396,1.3389,1.3668,1.3823,1.4533,1.5051,1.5101,1.6112,1.6895,1.7196,1.8397,1.973,2.1029,2.2058,2.3192,2.4649,2.7291,2.947,3.1059,3.3074,3.4733,3.5665,3.6953,3.853,4.0181,4.0722,4.1683,4.3447,4.3848,4.4203,4.4531,4.5368,4.5901,4.6428,4.7466,4.8653,4.9931,5.0981,5.182,5.2568,5.3434,5.3577,5.3239,5.3153,5.3065,5.2922,5.2568,5.239,5.251,5.2637,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.3037,5.3315,5.3193,5.252,5.1786,5.1673,5.1541,5.1385,5.0847,5.0784,5.0716,5.0254,5.0284,5.037,5.05,5.0366,5.0303,5.0303,5.0891,5.1213,5.0897,5.1299,5.1699,5.1677,5.1682,5.2045,5.2771,5.2911,5.3133,5.364,5.408,5.3841,5.2902,5.2923,5.3415,5.4197,5.4091,5.4371,5.5206,5.5129,5.5031,5.5126,5.5126,5.5018,5.4829,5.5481,5.61,5.6602,5.7724,5.8256,2.1067,1.8971,1.6919,1.5189,1.3667,1.2415,1.2032,1.1945,1.2174,1.2514,1.3171,1.3645,1.3952,1.4975,1.591,1.635,1.7557,1.874,2.0231,2.1272,2.2773,2.4807,2.7526,2.992,3.1387,3.3251,3.478,3.5879,3.7177,3.8657,4.0174,4.0938,4.1852,4.3051,4.3702,4.4207,4.4623,4.5497,4.6142,4.6428,4.7894,4.918,5.022,5.1626,5.2459,5.2908,5.3528,5.3671,0.0,5.3321,5.3233,5.3086,5.2788,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.276,5.3006,5.3438,5.3898,5.3619,5.3158,5.254,5.2293,5.2191,5.203,5.1619,5.1524,5.1527,5.112,5.1121,5.1206,5.1206,5.1173,5.1223,5.1242,5.1889,5.2402,5.2226,5.2484,5.274,5.3023,5.2967,5.3192,5.4036,5.4121,5.4288,5.474,5.5013,5.514,5.5351,5.4952,5.5089,5.5928,5.585,5.6075,5.6662,5.6554,5.6347,5.6362,5.6238,5.6129,5.6032,5.677,5.7423,5.8208,5.8952,5.9498,0.0,1.6811,1.4817,1.3568,1.22,1.1123,1.1057,1.0563,0.0,1.1255,1.1333,1.1748,1.3072,1.3728,1.4609,1.5897,1.71,1.8288,1.9481,2.1142,2.3224,2.6281,2.8268,2.9822,3.1421,3.3269,3.478,3.5879,3.7307,3.8713,3.9941,4.1308,4.2216,4.2808,4.3705,4.4571,4.5055,4.5994,4.6491,4.6509,4.8518,4.981,5.0501,5.2453,5.3223,5.3086,5.3528,5.3584,5.329,5.3144,5.3086,5.3086,5.2819,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2821,5.356,5.4052,5.4385,5.4192,5.3905,5.3585,5.3068,5.2704,5.2535,5.2176,5.2004,5.173,5.1701,5.1526,5.1321,5.1321,5.1603,5.1917,5.2301,5.3034,5.366,5.367,5.3895,5.4036,5.3839,5.3839,5.4177,5.4998,5.4686,5.4768,5.5817,5.569,5.6012,5.7311,5.6535,5.6182,5.6533,5.6533,5.6799,5.7449,5.737,5.7525,5.7892,5.7584,5.7584,5.7781,5.8202,5.8748,5.9644,5.9763,6.0119,1.5727,0.0,1.3098,1.1792,1.087,1.0066,0.0,0.9711,1.0169,1.0938,1.1064,1.1519,1.3091,1.3728,1.4646,1.6071,1.7315,1.8678,2.0032,2.2009,2.42,2.6561,2.7987,2.9579,3.1659,3.3429,3.478,3.5879,3.7595,3.8997,3.9941,4.1057,4.211,4.3337,4.4032,4.4411,4.4469,4.6029,4.697,4.7134,4.9162,5.037,5.0886,5.2382,5.2856,5.2487,5.3201,5.3233,5.2877,5.3055,5.2997,5.2819,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2698,5.2914,5.4114,5.4851,5.5466,5.573,5.5159,5.4277,5.3952,5.4042,5.4107,5.3473,5.3508,5.3539,5.2866,5.282,5.2856,5.2675,5.2951,5.3194,5.3257,5.377,5.4255,5.3979,5.4232,5.4485,5.463,5.4913,5.5367,5.5994,5.6165,5.6476,5.6959,5.7178,5.7511,5.8347,5.7537,5.736,5.8405,5.8218,5.8278,5.8644,5.8456,5.8406,5.8445,5.866,5.8438,5.7781,5.9114,5.9438,5.8972,6.0229,6.0875,1.4509,1.3246,1.208,1.078,1.0033,0.9427,0.9176,0.8955,0.9229,0.9899,1.0028,1.0651,1.2247,1.3224,1.4324,1.612,1.7539,1.8945,2.1042,2.2588,2.4259,2.6289,2.7908,2.9493,3.1267,3.3232,3.478,3.5879,3.7461,3.8845,3.9686,4.1009,4.2038,4.3041,4.4111,4.4804,4.5005,4.6456,4.7558,4.8133,4.9707,5.0904,5.1609,5.2661,5.2856,5.2487,5.3055,5.3055,5.2729,5.2908,5.2819,5.2698,5.2819,5.2877,5.2877,5.2966,5.3055,5.3055,5.3055,5.3369,5.3989,5.4822,5.5527,5.6046,5.6347,5.5834,5.5137,5.4939,5.491,5.4917,5.4327,5.4272,5.4112,5.3583,5.3815,5.4071,5.3781,5.4136,5.4438,5.4644,5.4848,5.4968,5.514,5.5197,5.5282,5.5624,5.5795,5.6251,5.6996,5.7197,5.7656,5.8259,5.8658,5.9109,5.9555,5.9258,5.919,5.9548,5.9737,5.9917,6.0027,5.9917,5.9806,5.9806,5.9688,5.9463,5.9109,5.9816,6.0027,5.9883,6.0998,6.1645,1.4088,1.3134,1.198,1.0453,0.9878,0.945,0.9112,0.8514,0.8257,0.8857,0.9305,0.9903,1.1403,1.2727,1.4324,1.6274,1.7861,1.9634,2.2066,2.3016,2.4108,2.579,2.7806,2.9563,3.0841,3.3056,3.4724,3.586,3.7307,3.8603,3.9517,4.0918,4.1983,4.2715,4.4082,4.5182,4.6045,4.721,4.823,4.9138,5.0332,5.1352,5.224,5.291,5.304,5.2698,5.2997,5.2997,5.2788,5.2788,5.2788,5.2788,5.2997,5.3086,5.3086,5.3321,5.3471,5.3565,5.3658,5.4352,5.5256,5.5594,5.6081,5.647,5.647,5.6274,5.6077,5.588,5.5481,5.5179,5.4947,5.4641,5.4436,5.4244,5.4609,5.4943,5.474,5.5126,5.5626,5.5843,5.5707,5.5709,5.6308,5.6193,5.6193,5.6394,5.6509,5.6996,5.7859,5.7946,5.8523,5.9739,6.0056,6.0398,6.0737,6.1081,6.1014,6.0526,6.0835,6.1104,6.1104,6.1104,6.1104,6.1104,6.0743,6.0516,6.0511,6.0461,6.0556,6.094,6.1792,6.2201,1.4006,1.3476,1.2644,1.1171,1.042,0.9746,0.8941,0.8592,0.8597,0.8857,0.9473,1.057,1.2222,1.3873,1.5639,1.7261,1.9464,2.1612,2.2797,2.378,2.4806,2.627,2.7625,2.9236,3.1259,3.295,3.4426,3.584,3.7307,3.8618,3.9996,4.0862,4.1911,4.3208,4.4027,4.511,4.6603,4.7873,4.8959,4.991,5.1222,5.2049,5.2309,5.2838,5.2887,5.2698,5.2997,5.3144,5.329,5.329,5.329,5.329,5.3144,5.3086,5.3086,5.3144,5.3517,5.4106,5.4665,5.5287,5.5937,5.5748,5.6176,5.6761,5.6761,5.6664,5.6664,5.6664,5.6077,5.5481,5.5481,5.528,5.5096,5.5323,5.553,5.5558,5.5723,5.6012,5.6177,5.5929,5.5937,5.5964,5.6394,5.6394,5.6423,5.6766,5.722,5.779,5.8574,5.8859,5.932,6.0309,6.0511,6.0737,6.1267,6.1725,6.1995,6.207,6.1455,6.1104,6.1104,6.1104,6.1104,6.1104,6.1559,6.1303,6.0284,6.1261,6.1351,6.0353,6.1517,6.2128,1.3456,1.2919,1.2557,1.2172,1.1541,1.0904,0.9736,0.924,0.9086,0.9127,1.0106,1.1231,1.272,1.4698,1.6811,1.9179,2.0782,2.211,2.3027,2.416,2.511,2.604,2.7827,2.9633,3.1136,3.2772,3.4352,3.584,3.7307,3.8639,3.9844,4.0777,4.1806,4.2949,4.4051,4.5379,4.6968,4.8353,4.9594,5.0766,5.164,5.2297,5.2753,5.3058,5.3071,5.2908,5.3144,5.329,5.3377,5.3377,5.3377,5.3409,5.3903,5.4059,5.409,5.4554,5.4988,5.5274,5.5688,5.6031,5.6342,5.6337,5.6484,5.6761,5.6761,5.6761,5.6761,5.6761,5.6372,5.578,5.578,5.5852,5.5879,5.5738,5.6363,5.6988,5.6672,5.6903,5.712,5.7009,5.6678,5.6537,5.6851,5.6737,5.6766,5.7078,5.7848,5.8571,5.9014,5.9824,6.0609,6.1374,6.1579,6.1923,6.2378,6.2979,6.3304,6.3086,6.2445,6.2295,6.2408,6.2295,6.2331,6.266,6.2642,6.2499,6.2293,6.2523,6.2278,6.1774,6.2703,6.3138,1.3657,1.3022,1.2686,1.314,1.2786,1.2068,1.0843,1.0175,0.9833,0.9858,1.0882,1.221,1.3288,1.5599,1.8109,2.0853,2.1632,2.2245,2.3038,2.4258,2.5414,2.5908,2.8029,2.9854,3.0868,3.2577,3.4377,3.5957,3.7307,3.8639,3.9713,4.0777,4.1806,4.2822,4.4051,4.5525,4.7087,4.8584,4.9987,5.1179,5.1766,5.2456,5.3211,5.3251,5.3343,5.357,5.3646,5.364,5.364,5.364,5.3734,5.3865,5.4574,5.4888,5.5108,5.6068,5.641,5.6447,5.6775,5.684,5.6809,5.696,5.6954,5.6954,5.6954,5.6954,5.6985,5.7043,5.6782,5.642,5.6321,5.6607,5.6745,5.6452,5.7288,5.8065,5.7705,5.779,5.7892,5.7781,5.7332,5.6993,5.7303,5.7222,5.7195,5.7536,5.8457,5.9243,5.9655,6.0733,6.1641,6.2175,6.2498,6.2907,6.3404,6.4322,6.4734,6.4136,6.3875,6.376,6.399,6.3644,6.3767,6.4333,6.3803,6.371,6.4091,6.348,6.3233,6.3109,6.3748,6.4038,1.5361,1.4558,1.3917,1.4309,1.3637,1.2671,1.1956,1.1613,1.1236,1.1032,1.2136,1.3459,1.3975,1.6621,1.9302,2.0703,2.1904,2.2728,2.3038,2.4414,2.5436,2.606,2.7628,2.9314,3.0818,3.2329,3.4195,3.6344,3.7441,3.8793,4.0149,4.0928,4.1806,4.2822,4.3802,4.5135,4.6704,4.8353,4.9684,5.0888,5.1523,5.2516,5.3471,5.3131,5.3783,5.4932,5.4528,5.4327,5.4327,5.4327,5.4623,5.4964,5.4851,5.5171,5.583,5.6612,5.6955,5.7141,5.765,5.7808,5.7715,5.7559,5.7495,5.7495,5.7495,5.7495,5.7525,5.7859,5.7881,5.7586,5.7389,5.7405,5.7661,5.8294,5.8294,5.8184,5.8486,5.8415,5.8114,5.7892,5.7332,5.6993,5.7303,5.7569,5.8003,5.8603,5.9472,6.0347,6.0996,6.1605,6.2102,6.2555,6.2847,6.3434,6.4352,6.5566,6.6077,6.5845,6.5464,6.5377,6.5377,6.5023,6.5023,6.5437,6.4696,6.4245,6.4091,6.3725,6.3356,6.3109,6.3748,6.4038,1.4916,1.4821,1.5029,1.4934,1.5023,1.4753,1.3191,1.2855,1.2732,1.2969,1.4033,1.549,1.7092,1.8668,2.0165,2.1468,2.22,2.2831,2.3623,2.5062,2.6099,2.62,2.803,2.9802,3.0874,3.2575,3.4334,3.5969,3.7319,3.8629,3.9844,4.0201,4.1171,4.2799,4.3617,4.5058,4.6942,4.8584,4.9881,5.1045,5.2075,5.3177,5.4395,5.4422,5.4742,5.5114,5.5175,5.4911,5.4412,5.4412,5.4401,5.4577,5.5342,5.6131,5.6735,5.7519,5.7772,5.7927,5.7902,5.7871,5.7871,5.759,5.7495,5.7558,5.8026,5.8151,5.8306,5.8865,5.9197,5.9147,5.8215,5.838,5.8754,5.8819,5.9108,5.9258,5.9147,5.8664,5.8195,5.8085,5.8102,5.8056,5.8169,5.8808,5.936,5.9589,6.0491,6.1111,6.141,6.2555,6.3324,6.3505,6.4188,6.5015,6.6031,6.6539,6.6873,6.718,6.6186,6.5498,6.5498,6.5143,6.5233,6.5742,6.511,6.4981,6.53,6.4773,6.4396,6.427,6.4532,6.4619,1.6115,1.6172,1.6418,1.6105,1.6467,1.6695,1.5443,1.4679,1.4365,1.5063,1.6094,1.7401,1.927,1.9844,2.058,2.1829,2.2406,2.3052,2.3971,2.5551,2.657,2.6619,2.8426,3.0004,3.1007,3.2582,3.4203,3.593,3.713,3.8315,3.9497,3.967,4.0694,4.2567,4.3453,4.4861,4.6849,4.8584,5.0075,5.1513,5.2572,5.3833,5.5079,5.5533,5.5726,5.5637,5.5847,5.5421,5.4497,5.4412,5.4454,5.4663,5.6144,5.6969,5.7476,5.8296,5.855,5.8459,5.8335,5.8243,5.8243,5.7965,5.7997,5.8279,5.8687,5.9,5.9283,5.9875,6.0241,6.0152,5.947,5.944,5.9704,5.9392,5.9546,5.9773,5.9422,5.8922,5.8519,5.863,5.8967,5.9068,5.9182,5.9938,6.0668,6.0875,6.1697,6.2349,6.2498,6.3565,6.4278,6.4395,6.5441,6.6425,6.7241,6.7603,6.7998,6.8547,6.7487,6.6673,6.6462,6.6282,6.649,6.7061,6.6293,6.6155,6.6627,6.5962,6.5577,6.5448,6.5577,6.5577,1.9284,1.8695,1.8298,1.822,1.8117,1.8289,1.8652,1.7231,1.6058,1.7548,1.829,1.9049,2.0291,2.0029,2.0029,2.1276,2.2408,2.3328,2.3945,2.5677,2.7056,2.756,2.8563,2.985,3.1378,3.2353,3.3849,3.6078,3.6912,3.7932,3.9192,3.9566,4.0536,4.2032,4.3041,4.4499,4.625,4.812,5.0154,5.2079,5.3129,5.4299,5.5398,5.6203,5.6631,5.6893,5.6413,5.5706,5.4813,5.4497,5.4825,5.562,5.7285,5.7916,5.8012,5.8748,5.9004,5.9004,5.9004,5.9004,5.9004,5.8701,5.9119,5.963,5.9411,5.9791,6.0455,6.089,6.0814,6.0671,6.1153,6.0794,6.0377,6.0092,5.9773,5.9422,5.9207,5.9199,5.9339,5.9674,5.9728,5.9827,6.02,6.073,6.1495,6.2466,6.3149,6.3832,6.4486,6.4815,6.5054,6.5054,6.6486,6.7627,6.7939,6.8819,6.961,6.9913,6.9601,6.9175,6.8512,6.877,6.91,6.9446,6.8436,6.7924,6.7924,6.7276,6.6751,6.6384,6.6751,6.6751,1.887,1.8809,1.9207,1.8695,1.9747,2.097,2.0982,1.9411,1.844,1.9413,1.9547,1.9791,2.0979,2.0704,2.074,2.1972,2.2554,2.3229,2.4714,2.5786,2.6746,2.7461,2.8623,2.9781,3.0847,3.2525,3.4101,3.5651,3.6708,3.7842,3.917,3.9042,3.9795,4.1766,4.2615,4.4056,4.6003,4.8232,5.035,5.2402,5.4111,5.5486,5.6584,5.7109,5.7197,5.6925,5.7098,5.6324,5.4948,5.4781,5.4825,5.5176,5.6637,5.7181,5.7341,5.8556,5.9004,5.9004,5.9004,5.9324,5.974,5.9649,6.0004,6.0486,6.09,6.109,6.1213,6.181,6.1802,6.1565,6.145,6.1206,6.0897,6.0617,6.0197,5.9894,6.0348,5.9937,5.9681,6.0238,6.0748,6.1079,6.1193,6.1987,6.2758,6.3501,6.377,6.4425,6.5802,6.6252,6.6823,6.7668,6.8483,6.8969,6.9305,6.9671,6.973,6.9571,7.0067,6.9969,6.886,6.8884,6.9004,6.91,6.8338,6.7924,6.7924,6.7014,6.6516,6.6384,6.6516,6.6516,2.0964,2.1131,2.1495,2.1018,2.209,2.3354,2.3686,2.2236,2.1149,2.1616,2.1556,2.147,2.2061,2.1319,2.0907,2.174,2.23,2.3091,2.4507,2.5755,2.7009,2.7921,2.9058,3.0108,3.1267,3.2867,3.4298,3.5581,3.6579,3.7573,3.8864,3.8672,3.9437,4.1228,4.2067,4.3374,4.5304,4.8039,5.0409,5.2454,5.4607,5.6378,5.7559,5.7983,5.7892,5.7277,5.7162,5.626,5.4948,5.498,5.5056,5.5493,5.6702,5.7313,5.7731,5.9177,5.9691,5.9724,5.9981,6.0366,6.072,6.0661,6.0924,6.1281,6.1727,6.1787,6.1909,6.2319,6.2216,6.2016,6.1815,6.1699,6.1444,6.0751,6.0486,6.0472,6.0651,6.0616,6.0648,6.1065,6.166,6.208,6.2433,6.3053,6.3737,6.4665,6.5143,6.5712,6.6794,6.7578,6.8243,6.8911,6.9549,7.0068,7.0401,7.0338,7.0334,7.02,7.0839,7.0949,6.9943,7.0281,7.0311,6.9913,6.9364,6.8854,6.8458,6.7667,6.7266,6.7132,6.7266,6.7266,2.4119,2.4476,2.4523,2.4378,2.4682,2.5478,2.6713,2.5786,2.451,2.4203,2.4086,2.3851,2.3573,2.2004,2.0857,2.1175,2.1849,2.2545,2.3721,2.5681,2.7445,2.8554,2.9662,3.0811,3.2275,3.3214,3.4447,3.5725,3.6417,3.7265,3.8313,3.8625,3.9327,4.0476,4.1472,4.2885,4.4493,4.7516,5.0126,5.2471,5.474,5.6673,5.8211,5.8792,5.8678,5.7941,5.6787,5.5822,5.4992,5.5146,5.5615,5.6324,5.7203,5.8,5.881,6.0267,6.0785,6.0882,6.1562,6.1854,6.1919,6.1736,6.1942,6.2204,6.195,6.2265,6.2509,6.2541,6.2373,6.2205,6.2205,6.2268,6.2093,6.0985,6.0867,6.094,6.0784,6.1253,6.1809,6.2241,6.2579,6.3088,6.4006,6.4096,6.4545,6.5832,6.6823,6.7517,6.7547,6.8667,6.9366,6.9337,7.0312,7.1046,7.1192,7.1127,7.1117,7.1337,7.1798,7.1821,7.1585,7.2358,7.2491,7.1526,7.1095,7.0531,6.9512,6.9079,6.8644,6.84,6.8644,6.8644,2.3954,2.4181,2.4899,2.5412,2.6573,2.8003,3.0035,3.0634,3.0174,2.7765,2.7555,2.7429,2.6208,2.4271,2.2587,2.1947,2.1558,2.1881,2.3574,2.5085,2.6635,2.859,2.9464,3.0462,3.2237,3.2917,3.3882,3.5565,3.5984,3.6766,3.8128,3.8455,3.9151,4.027,4.1399,4.2714,4.4282,4.7017,4.9681,5.2471,5.4654,5.6715,5.8487,5.9062,5.912,5.8945,5.7543,5.6776,5.6416,5.5864,5.5945,5.6492,5.7288,5.8,5.881,6.0267,6.0874,6.1117,6.1833,6.2451,6.2971,6.2971,6.3056,6.3259,6.3004,6.3192,6.3567,6.3368,6.3647,6.3956,6.3752,6.3537,6.3369,6.3424,6.2779,6.2086,6.2384,6.2807,6.3189,6.3498,6.4009,6.4546,6.4784,6.4814,6.5084,6.5892,6.6702,6.7424,6.818,6.8728,6.9793,7.1533,7.1443,7.1688,7.2463,7.2266,7.1909,7.1434,7.2403,7.2892,7.2542,7.27,7.2596,7.1774,7.1609,7.1414,7.0887,6.9678,6.9142,6.9004,6.9142,6.9142,2.5476,2.5957,2.671,2.7863,2.8804,3.0162,3.2913,3.507,3.6048,3.4953,3.3224,3.1341,2.9871,2.6848,2.3912,2.2166,2.0917,2.042,2.1511,2.3391,2.5448,2.7781,2.8945,3.0427,3.2277,3.3192,3.4142,3.5478,3.6186,3.6889,3.7953,3.839,3.9105,3.9847,4.097,4.225,4.3812,4.6488,4.949,5.2582,5.4931,5.7302,5.9564,5.9652,5.9523,5.9264,5.851,5.7904,5.733,5.7135,5.7232,5.7547,5.8105,5.8831,5.9781,6.1061,6.1768,6.2248,6.3146,6.3636,6.3963,6.3963,6.4081,6.4287,6.4095,6.4318,6.4566,6.4366,6.452,6.4704,6.45,6.4695,6.4871,6.4924,6.4166,6.3526,6.3975,6.4304,6.4563,6.4661,6.4903,6.5114,6.5443,6.5772,6.6071,6.643,6.7151,6.7967,6.8421,6.9544,7.0918,7.2361,7.2296,7.2317,7.2918,7.269,7.2169,7.1407,7.2595,7.3171,7.2818,7.3201,7.2886,7.2012,7.215,7.1865,7.1021,7.0257,6.9945,6.9945,6.9945,6.9945,2.6952,2.7708,2.8574,2.9944,3.0758,3.207,3.5491,3.8594,4.1295,4.2809,3.9438,3.5704,3.3658,2.9388,2.519,2.2184,1.9924,1.8665,1.9089,2.1299,2.39,2.6554,2.8377,3.0248,3.2371,3.3417,3.4518,3.538,3.6246,3.7103,3.7678,3.8387,3.9008,3.9329,4.0326,4.1678,4.3077,4.5795,4.8918,5.2412,5.5473,5.8414,6.0967,6.0496,6.0017,5.9628,5.953,5.8969,5.8246,5.8314,5.8507,5.8734,5.9121,5.9968,6.1061,6.2053,6.2827,6.3571,6.4473,6.4859,6.4958,6.4866,6.5111,6.5222,6.5126,6.5318,6.5568,6.5468,6.5363,6.539,6.5415,6.5922,6.6444,6.623,6.5602,6.5136,6.5452,6.5748,6.5796,6.5678,6.5532,6.5533,6.6071,6.664,6.7029,6.7148,6.7874,6.8542,6.8783,7.0603,7.2038,7.2662,7.2895,7.3031,7.3183,7.2892,7.2367,7.1733,7.2697,7.3211,7.2826,7.3356,7.3275,7.2415,7.2746,7.2343,7.1208,7.1005,7.0947,7.1034,7.0947,7.0889,2.5465,2.6903,2.8715,2.9659,3.1253,3.3486,3.7502,4.0671,4.3776,4.7667,4.5156,4.0958,3.6682,3.1636,2.6645,2.2112,1.8924,1.7101,1.7338,1.9693,2.2418,2.5269,2.7591,2.986,3.1949,3.2921,3.3904,3.5163,3.5445,3.6205,3.7484,3.7863,3.8429,3.9101,3.9531,4.055,4.2255,4.4162,4.7291,5.1353,5.6622,6.0238,6.2232,6.1765,6.1317,6.1135,6.047,5.9926,5.9416,5.884,5.884,5.9278,5.9899,6.0652,6.1568,6.2876,6.3612,6.3989,6.4745,6.5494,6.593,6.5745,6.5955,6.6256,6.574,6.6059,6.6538,6.6305,6.6652,6.7157,6.7555,6.7525,6.7571,6.8245,6.8075,6.7579,6.6484,6.6681,6.7021,6.6461,6.6583,6.6759,6.6849,6.6939,6.7178,6.7747,6.8051,6.853,6.9699,7.0795,7.1986,7.3134,7.3345,7.3617,7.4221,7.3881,7.3342,7.269,7.3369,7.3363,7.2628,7.3028,7.3291,7.3327,7.3232,7.3174,7.3211,7.2079,7.1818,7.234,7.1789,7.1557,2.6648,2.7795,2.9023,3.0851,3.2743,3.5222,3.9418,4.2982,4.6353,4.9042,4.7743,4.4635,3.9677,3.3042,2.6384,2.0391,1.6494,1.4134,1.4073,1.6506,1.9636,2.2951,2.608,2.8737,3.076,3.2736,3.3968,3.4274,3.5578,3.6443,3.6881,3.7571,3.8383,3.9104,3.9564,4.0533,4.1983,4.4284,4.8312,5.4159,5.8231,6.0979,6.2455,6.2199,6.2025,6.1983,6.1217,6.0671,6.0223,6.0093,5.9993,5.9984,6.0877,6.1546,6.23,6.3617,6.4243,6.4704,6.5733,6.6163,6.6403,6.674,6.7147,6.7454,6.7229,6.7753,6.8363,6.823,6.8576,6.8877,6.885,6.8913,6.9065,6.9032,6.9245,6.9174,6.8289,6.7979,6.7722,6.7155,6.7033,6.6999,6.6999,6.6876,6.6962,6.7617,6.7783,6.822,6.9327,7.0897,7.2133,7.2834,7.3193,7.3522,7.4121,7.361,7.323,7.2818,7.3268,7.3516,7.344,7.3469,7.376,7.4402,7.3933,7.3904,7.4111,7.3531,7.3414,7.3676,7.3385,7.3269,2.7056,2.7835,2.8723,3.1019,3.3235,3.6051,4.0408,4.4282,4.7558,4.9747,4.878,4.6063,4.0963,3.3401,2.5766,1.8819,1.4267,1.1469,1.1044,1.3546,1.6911,2.0681,2.4281,2.734,2.9623,3.222,3.3823,3.3634,3.5572,3.6789,3.6649,3.7522,3.8331,3.9022,3.9445,4.0309,4.1655,4.5144,5.0122,5.6319,5.9152,6.12,6.2459,6.2459,6.2548,6.2532,6.1799,6.1219,6.0886,6.1002,6.0919,6.0647,6.1739,6.2431,6.3024,6.4211,6.5094,6.57,6.6533,6.6965,6.7273,6.7619,6.8319,6.8855,6.8759,6.9354,7.0069,7.0069,7.0155,7.0123,7.0074,7.0172,7.0217,6.9745,6.9929,7.0047,6.9472,6.8772,6.8179,6.7729,6.7243,6.6999,6.6876,6.6629,6.6714,6.7241,6.7639,6.816,6.8808,7.0874,7.2222,7.2222,7.2963,7.3575,7.3878,7.3478,7.323,7.2915,7.3398,7.3842,7.4021,7.3907,7.4286,7.5218,7.4751,7.4606,7.475,7.4576,7.4605,7.475,7.4576,7.4518,2.4715,2.5849,2.7023,2.8914,3.1793,3.5371,4.0152,4.3568,4.6758,5.0406,4.8566,4.454,3.9196,3.252,2.5436,1.7983,1.3236,1.0205,0.9435,1.1722,1.4986,1.881,2.2387,2.5816,2.8914,3.1329,3.3044,3.3944,3.5436,3.661,3.7124,3.7685,3.8097,3.846,3.8716,3.9415,4.0576,4.6778,5.1901,5.5696,5.869,6.1003,6.2693,6.2693,6.2707,6.2747,6.2011,6.1547,6.1301,6.1169,6.1119,6.1251,6.2676,6.3325,6.3696,6.4917,6.6091,6.7079,6.6666,6.7596,6.8885,6.8418,6.9217,7.037,7.0075,7.0501,7.1123,7.1123,7.0953,7.081,7.118,7.0984,7.0639,7.0616,7.0243,6.9703,6.9472,6.8654,6.797,6.797,6.7487,6.6876,6.6629,6.6506,6.6589,6.7019,6.7511,6.816,6.8808,7.0606,7.1786,7.1786,7.2965,7.3731,7.3871,7.4292,7.4239,7.3199,7.434,7.4634,7.3647,7.4169,7.4779,7.5446,7.5417,7.5417,7.5446,7.4808,7.4837,7.5446,7.4808,7.4518,2.4496,2.4881,2.555,2.7923,3.1384,3.5097,3.8656,4.2818,4.6394,4.8241,4.6614,4.3182,3.7557,3.0867,2.3635,1.6037,1.1194,0.8231,0.7709,0.9595,1.2664,1.6867,2.0801,2.4485,2.7365,3.0709,3.2965,3.3487,3.5396,3.6872,3.7387,3.7461,3.8016,3.912,3.9025,4.0668,4.4095,4.8646,5.2534,5.5888,5.8882,6.0883,6.2013,6.2334,6.2437,6.2206,6.1728,6.1465,6.1383,6.1334,6.16,6.2133,6.3182,6.3967,6.4481,6.6209,6.7,6.7334,6.8126,6.8702,6.9177,6.9456,7.0063,7.0795,7.0795,7.1458,7.218,7.218,7.2102,7.2111,7.2161,7.18,7.1529,7.1344,7.1279,7.1042,7.0807,6.9635,6.8607,6.8607,6.7514,6.6629,6.6506,6.6103,6.6088,6.6608,6.6996,6.7509,6.8181,6.9582,7.0663,7.1072,7.1918,7.276,7.331,7.3813,7.3933,7.3842,7.4343,7.4751,7.4837,7.504,7.5446,7.6114,7.6521,7.6521,7.6114,7.5882,7.6085,7.6724,7.6056,7.6201,2.3791,2.4146,2.4881,2.7968,3.08,3.3754,3.7724,4.1196,4.4061,4.5459,4.4345,4.1457,3.6426,3.011,2.3157,1.5352,1.061,0.7647,0.6858,0.8431,1.1272,1.519,1.9284,2.2984,2.6076,2.9697,3.2227,3.2913,3.5189,3.6843,3.7363,3.7742,3.8753,4.0357,4.0267,4.2273,4.6524,4.9915,5.3041,5.585,5.866,6.0313,6.0782,6.1612,6.1818,6.1388,6.1447,6.1383,6.1383,6.1334,6.1767,6.2582,6.3718,6.4638,6.5474,6.7242,6.8035,6.8282,6.9166,6.9578,6.9854,7.0497,7.1042,7.1516,7.2071,7.2878,7.3638,7.3739,7.3825,7.3828,7.3722,7.3221,7.2664,7.2217,7.219,7.2132,7.1622,7.0373,6.9245,6.9002,6.7874,6.6743,6.6411,6.5727,6.5494,6.5932,6.6331,6.6925,6.7492,6.8895,7.0112,7.0518,7.1188,7.1969,7.3064,7.3356,7.3705,7.4313,7.4635,7.504,7.5475,7.5708,7.6027,7.6462,7.6869,7.6985,7.6782,7.7014,7.7333,7.774,7.7304,7.7718,0.0,0.0,0.0,2.902,2.9808,3.1255,3.7486,3.896,3.9698,4.2155,4.1633,3.9497,3.5934,3.067,2.4336,1.6271,1.1483,0.8426,0.709,0.8437,1.0779,1.4105,1.7795,2.1538,2.5112,2.8197,3.0721,3.2297,3.4856,3.6448,3.6823,3.8612,4.0357,4.1815,4.2414,4.4216,4.7454,5.0749,5.3362,5.54,5.8061,5.9146,5.9066,6.0478,6.0841,6.0317,6.105,6.1383,6.1417,6.1202,6.1717,6.2682,6.4148,6.5493,6.6675,6.8014,6.9199,7.0107,6.9659,7.0162,7.0993,7.1513,7.1999,7.2574,7.3599,7.4539,7.54,7.5637,7.5794,7.5872,7.5872,7.505,7.4012,7.3073,7.2912,7.2697,7.2059,7.0924,6.9791,6.9123,6.8205,6.7123,6.6125,6.5504,6.4996,6.5025,6.5839,6.6516,6.6912,6.8709,7.0099,7.0128,7.0851,7.1881,7.295,7.3008,7.3442,7.4488,7.5156,7.5534,7.5534,7.6114,7.6462,7.6462,7.6491,7.6811,7.7449,7.8059,7.8407,7.8436,7.8465,7.8897,2.1194,0.0,0.0,0.0,0.0,0.0,3.2139,3.4184,3.6325,3.9518,3.8712,3.7081,3.5504,3.148,2.6319,1.9935,1.4128,0.9858,0.8227,0.8957,1.0747,1.3773,1.7001,2.0413,2.4007,2.6823,2.9358,3.1702,3.3877,3.5719,3.732,3.9503,4.0707,4.0714,4.3459,4.571,4.7247,5.1115,5.3662,5.4968,5.7473,5.8623,5.8614,5.9935,6.0445,6.0317,6.092,6.1467,6.2049,6.2266,6.2782,6.3668,6.548,6.6608,6.7449,6.914,6.9904,7.0263,7.0445,7.0993,7.1724,7.1833,7.2619,7.3633,7.4627,7.5303,7.6007,7.644,7.6399,7.6115,7.548,7.5112,7.4686,7.4002,7.3722,7.3381,7.2768,7.1627,7.0489,6.9574,6.7802,6.6339,6.6037,6.5251,6.4785,6.5218,6.5733,6.6127,6.6749,6.7907,6.8938,6.9677,7.0192,7.0959,7.2454,7.2969,7.3662,7.474,7.5375,7.5872,7.6201,7.6375,7.6462,7.6462,7.7391,7.7943,7.8117,7.7827,7.8146,7.9075,7.9851,8.0287,2.0903,2.124,2.1892,2.3969,0.0,0.0,3.0579,3.2038,3.3532,3.6906,3.6649,3.549,3.4657,3.1406,2.7087,2.2055,1.676,1.2373,0.9734,0.988,1.1077,1.3488,1.6727,1.9922,2.2726,2.5586,2.8119,3.0221,3.2609,3.5211,3.7952,3.9415,4.0685,4.1871,4.4464,4.6681,4.8624,5.1894,5.4098,5.514,5.7005,5.785,5.784,5.9231,5.9851,5.9724,6.0738,6.1516,6.2264,6.2983,6.3718,6.4522,6.6424,6.7588,6.8466,7.0343,7.1109,7.121,7.1772,7.2279,7.2683,7.3021,7.3743,7.4661,7.5691,7.6472,7.7078,7.7513,7.774,7.7682,7.6856,7.6456,7.6006,7.5144,7.4431,7.369,7.2676,7.135,7.0179,6.9411,6.773,6.6332,6.5912,6.5199,6.4871,6.5376,6.565,6.5958,6.6764,6.769,6.8457,6.928,6.9817,7.0866,7.2382,7.2609,7.3328,7.4924,7.5218,7.5693,7.6132,7.6724,7.6869,7.6869,7.7885,7.8669,7.9191,7.8814,7.9288,8.0434,8.1233,8.1674,2.1104,2.169,2.2985,2.5972,2.5447,0.0,3.0636,3.0632,3.0653,3.4146,3.4674,3.4146,3.3247,3.0508,2.7018,2.298,1.91,1.5268,1.1465,1.1078,1.1863,1.3477,1.6803,1.9636,2.1527,2.4412,2.6825,2.815,3.1384,3.4771,3.8303,3.8933,4.0618,4.397,4.5233,4.7303,5.0542,5.2741,5.4448,5.5587,5.6696,5.7139,5.7053,5.8441,5.9059,5.8966,6.0456,6.155,6.2429,6.3517,6.4388,6.5158,6.7026,6.8331,6.9383,7.1582,7.2394,7.2496,7.324,7.3544,7.3713,7.4492,7.5046,7.5725,7.6961,7.7882,7.8622,7.8892,7.9589,7.992,7.8946,7.8242,7.7478,7.6079,7.4866,7.3475,7.2244,7.0738,6.9441,6.9064,6.7775,6.6588,6.568,6.516,6.4936,6.5372,6.551,6.5834,6.6606,6.7552,6.8365,6.8709,6.9635,7.0874,7.25,7.2104,7.2858,7.4953,7.501,7.5225,7.5801,7.6892,7.7391,7.7391,7.8117,7.9133,8.041,8.041,8.1046,8.2163,8.272,8.2978,2.1144,2.1722,2.2379,2.3222,2.3388,0.0,2.5678,2.5712,2.6317,2.9952,2.987,2.9347,3.0425,2.8795,2.5957,2.2339,1.9426,1.6437,1.3272,1.2683,1.3053,1.4402,1.6526,1.8905,2.1164,2.2834,2.467,2.6898,3.0764,3.425,3.6949,3.9303,4.1443,4.3452,4.5928,4.8208,5.0327,5.2514,5.4251,5.5358,5.6195,5.6603,5.6823,5.8157,5.8819,5.8966,6.0456,6.1932,6.333,6.3835,6.4388,6.5225,6.7772,6.8977,6.9383,7.1582,7.2394,7.2496,7.324,7.3883,7.4525,7.5236,7.6076,7.7154,7.9254,8.0069,8.0209,8.0909,8.1056,8.0584,7.9077,7.8242,7.7478,7.6079,7.4596,7.3354,7.2861,7.1188,6.9594,6.9109,6.695,6.5414,6.5792,6.5085,6.4851,6.5873,6.5527,6.5419,6.6062,6.6473,6.7051,6.7523,6.8539,6.983,7.1714,7.2074,7.2857,7.4675,7.4953,7.5411,7.5801,7.6892,7.7391,7.7391,7.8553,7.9743,8.102,8.1367,8.2192,8.3154,8.3559,8.3874,2.1451,2.1689,2.2169,2.2661,2.2765,0.0,0.0,2.4556,2.5056,2.8284,2.7903,2.7394,2.845,2.6885,2.4611,2.1778,1.9491,1.7359,1.5258,1.4193,1.3915,1.4945,1.6785,1.8675,2.0473,2.2147,2.4416,2.753,3.0216,3.3101,3.629,3.8681,4.1255,4.4015,4.6264,4.8513,5.0755,5.2721,5.4251,5.516,5.6117,5.6801,5.7276,5.8323,5.9018,5.9529,6.102,6.2414,6.3648,6.427,6.5243,6.6436,6.8331,6.9403,7.0066,7.2214,7.3027,7.3288,7.4314,7.51,7.5811,7.6183,7.7256,7.8638,8.0134,8.112,8.1834,8.2258,8.2134,8.1742,8.0575,7.9545,7.8448,7.6953,7.5251,7.3602,7.2428,7.0748,6.9039,6.8093,6.6462,6.5388,6.5968,6.5488,6.521,6.5831,6.5363,6.5103,6.572,6.6015,6.6477,6.723,6.8133,6.9542,7.1408,7.2034,7.2845,7.424,7.4606,7.5067,7.5526,7.6905,7.8021,7.8843,7.9772,8.0888,8.2008,8.2808,8.3478,8.3961,8.4763,8.505,2.2298,2.2285,2.2531,2.3206,2.2796,2.2692,0.0,0.0,0.0,2.6737,2.6438,2.597,2.629,2.4918,2.2985,2.0913,1.9328,1.7928,1.6677,1.541,1.4931,1.5482,1.7032,1.8637,1.9903,2.1995,2.4696,2.8109,2.9556,3.1937,3.5878,3.8098,4.1139,4.5155,4.67,4.867,5.1343,5.3071,5.4284,5.5005,5.6117,5.7077,5.7806,5.8568,5.9297,6.0141,6.1633,6.2831,6.3818,6.4723,6.6167,6.7974,6.8755,6.9708,7.09,7.2824,7.3671,7.4228,7.55,7.6448,7.7024,7.7329,7.871,8.0369,8.1118,8.2275,8.3364,8.338,8.3121,8.2762,8.1935,8.0853,7.9418,7.768,7.5788,7.388,7.1871,7.0179,6.8635,6.7509,6.6356,6.5759,6.6156,6.5765,6.5389,6.5502,6.5021,6.4752,6.5176,6.5327,6.5728,6.6761,6.7875,6.9226,7.1061,7.1798,7.2511,7.376,7.424,7.4817,7.5421,7.7356,7.9122,8.0626,8.1237,8.2197,8.3159,8.4008,8.4652,8.48,8.5813,8.6102,2.4732,2.4524,2.4491,2.4046,2.3351,2.2546,2.201,0.0,2.1868,2.2939,0.0,2.3016,2.3373,0.0,0.0,1.9299,1.8684,1.7838,1.581,1.6026,1.6369,1.6265,1.7153,1.8454,1.9903,2.2349,2.4513,2.6476,2.8796,3.1769,3.5293,3.8478,4.2047,4.6051,4.7247,4.9165,5.1816,5.3225,5.4284,5.5005,5.5961,5.6921,5.7806,5.8408,5.9216,6.0351,6.185,6.3166,6.4236,6.506,6.6761,6.8977,6.9079,6.9958,7.1379,7.2902,7.3916,7.4788,7.6469,7.7046,7.7352,7.871,8.0777,8.2952,8.404,8.4761,8.5034,8.4577,8.4076,8.3397,8.2067,8.0853,7.9418,7.7446,7.5424,7.3596,7.22,7.048,6.9161,6.8701,6.7479,6.6341,6.575,6.5024,6.4527,6.4901,6.4253,6.3713,6.3938,6.3927,6.4412,6.5517,6.6453,6.7844,6.9965,7.1088,7.2162,7.317,7.4168,7.5016,7.6049,7.8891,8.0853,8.1741,8.2702,8.3508,8.4155,8.4693,8.5367,8.5961,8.634,8.6629,2.4769,2.4311,2.3936,2.3985,2.2897,2.1797,2.1501,2.1201,2.1206,2.2053,0.0,0.0,0.0,0.0,0.0,0.0,1.783,1.7211,1.6569,1.639,1.6242,1.6245,1.7029,1.8549,2.0957,2.2551,2.4262,2.6496,2.8422,3.1271,3.5249,3.8229,4.1566,4.528,4.7177,4.8903,5.0671,5.2802,5.4131,5.4503,5.5919,5.7231,5.8436,5.8687,5.9529,6.0886,6.2348,6.34,6.422,6.5362,6.7079,6.9113,6.9113,7.0351,7.2237,7.3196,7.4136,7.517,7.6544,7.742,7.8162,8.0331,8.2405,8.4314,8.5204,8.5823,8.6233,8.5709,8.5479,8.489,8.3132,8.1886,8.0582,7.8153,7.6021,7.3961,7.2001,7.0206,6.8654,6.7466,6.6311,6.5167,6.3969,6.3801,6.3657,6.3537,6.3073,6.2802,6.2898,6.3219,6.3888,6.5367,6.5924,6.7285,6.9396,7.088,7.198,7.2749,7.4451,7.6221,7.7534,7.9499,8.1058,8.1858,8.3013,8.3978,8.4752,8.5456,8.6151,8.6967,8.6868,8.6689,2.4731,2.405,2.3514,2.3785,2.2678,2.1523,2.128,2.1052,2.106,2.1439,2.151,0.0,0.0,0.0,1.8884,1.8078,0.0,1.7273,1.7158,1.679,1.6508,1.653,1.7529,1.9187,2.1551,2.2711,2.4266,2.679,2.8488,3.1266,3.5687,3.8417,4.1445,4.4974,4.7193,4.8797,4.9918,5.2584,5.3967,5.4194,5.6106,5.7674,5.8899,5.9098,5.9893,6.1268,6.2728,6.3615,6.417,6.5612,6.7348,6.9113,6.9113,7.0656,7.3006,7.3366,7.4407,7.5875,7.6917,7.8201,7.9717,8.179,8.3594,8.4964,8.5992,8.6679,8.692,8.6707,8.6542,8.5985,8.4155,8.2822,8.1391,7.8547,7.646,7.4329,7.1805,6.9943,6.8297,6.6578,6.5223,6.4021,6.2411,6.2486,6.2506,6.2006,6.1753,6.1516,6.1674,6.2323,6.3415,6.4914,6.5625,6.6752,6.8842,7.0336,7.1811,7.2913,7.5201,7.7063,7.8495,8.0107,8.1338,8.228,8.373,8.4859,8.5496,8.6002,8.6728,8.7706,8.7197,8.7048,2.5303,2.4481,2.3857,2.3768,2.3075,2.2069,2.0736,2.0939,2.1174,2.0386,2.1352,2.1905,2.033,1.9982,1.9383,0.0,1.8271,0.0,0.0,1.7363,1.7754,1.7775,1.9132,2.0468,2.1471,2.2793,2.4614,2.7079,2.917,3.2245,3.6633,3.9427,4.2355,4.5697,4.7489,4.9093,5.0359,5.2735,5.3967,5.4227,5.6636,5.8171,5.8933,5.9628,6.0439,6.1483,6.2949,6.3869,6.4386,6.5901,6.7468,6.9113,6.9113,7.0872,7.3443,7.3477,7.4897,7.7024,7.7997,7.9956,8.2132,8.3217,8.4105,8.5167,8.6814,8.7194,8.7126,8.7567,8.7023,8.6119,8.4677,8.3217,8.127,7.8275,7.6182,7.4201,7.1578,6.984,6.8297,6.6578,6.5084,6.3461,6.142,6.081,6.0572,6.046,5.9955,5.9695,5.9964,6.1132,6.2391,6.3695,6.4896,6.6137,6.781,6.9443,7.1521,7.4111,7.6079,7.7363,7.8049,8.1136,8.2925,8.3431,8.5208,8.6181,8.6659,8.6659,8.7018,8.7706,8.7676,8.8005,2.5242,2.4444,2.3754,2.4539,2.3296,2.1717,2.1263,2.1197,2.1041,2.0203,2.116,2.169,2.0565,1.9689,1.8946,0.0,0.0,1.7679,0.0,1.7384,1.7846,1.8089,1.9081,2.0236,2.1564,2.2552,2.4378,2.7508,2.9256,3.218,3.6781,3.897,4.141,4.4516,4.6678,4.8385,4.9707,5.2081,5.3616,5.4452,5.6249,5.7707,5.8933,5.9661,6.0472,6.1483,6.2949,6.3869,6.4386,6.5901,6.7588,6.9147,6.962,7.1312,7.3477,7.3477,7.4992,7.7318,7.8672,8.0774,8.285,8.3223,8.4483,8.609,8.7743,8.8089,8.8123,8.8354,8.8395,8.7588,8.4831,8.3493,8.1852,7.804,7.6057,7.4201,7.1448,6.9222,6.7257,6.5271,6.3167,6.1246,5.9625,5.8499,5.7832,5.8182,5.8517,5.8834,5.8952,5.9964,6.1215,6.2966,6.4023,6.5502,6.7322,6.9798,7.2442,7.5259,7.652,7.7721,7.9127,8.1557,8.2983,8.346,8.5238,8.624,8.6689,8.6689,8.7257,8.8364,8.8364,8.8484,2.528,2.451,2.3893,2.5221,2.414,2.2566,2.1661,2.1707,2.1568,2.0497,2.112,2.1618,2.0933,1.9777,1.8834,0.0,0.0,1.7594,0.0,1.7838,1.8324,1.8617,1.9222,2.0151,2.152,2.2629,2.4708,2.8247,2.9794,3.2625,3.7308,3.8995,4.1028,4.3817,4.6198,4.7999,4.9278,5.1721,5.3353,5.4452,5.6249,5.7707,5.8933,5.9926,6.0787,6.1483,6.2949,6.3869,6.4386,6.5901,6.7588,6.918,6.9891,7.1548,7.351,7.3781,7.5398,7.776,7.9254,8.1154,8.309,8.3191,8.452,8.6469,8.8122,8.8605,8.8709,8.9214,8.9177,8.8408,8.5183,8.3769,8.2239,7.8268,7.612,7.4134,7.1618,6.8956,6.6536,6.4414,6.2116,6.0005,5.8317,5.7065,5.634,5.6776,5.7232,5.7495,5.8075,5.8932,6.0175,6.2196,6.3459,6.5074,6.7787,7.02,7.2683,7.5219,7.6476,7.7835,7.9255,8.1644,8.2983,8.346,8.5238,8.624,8.6689,8.6928,8.7616,8.8693,8.8933,8.9172]}]]