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0,  0, 4.072031, 3.182031, 3.792031, 4.332031, 4.332031, 4.372031, 6.092031,     6.912031, 7.822031, 9.152031, 10.15203, 10.31203, 9.452031, 7.332031,     6.362031, 6.362031, 5.522031, 5.342031, 5.542031, 6.852031, 6.422031,     6.702031, 6.342031, 6.112031, 5.012031, 3.352031, 3.352031, 1.812031,     1.522031, 2.212031, 2.542031, 2.902031, 3.662031, 4.192031, 4.112031,     3.092031, 3.042031, 3.042031, 3.282031, 2.332031, 4.602031, 6.072031,     5.632031, 5.722031, 5.232031, 5.152031, 5.102031, 4.802031, 4.802031,     4.982031, 4.532031, 2.512031, 1.262031, 0.572031, 0.6120309, 0.4720309,     0.582031, 0.9920309, 1.292031, 2.382031, 2.382031, 6.042031, 7.852031,     7.642031, 6.832031, 5.432031, 4.372031, 3.252031, 2.252031, 1.822031,     0.7720309, 0.7720309, 2.112031, 3.172031, 3.842031, 4.752031, 4.592031,     3.812031, 3.402031, 3.492031, 3.872031, 3.762031, 3.762031, 4.432031,     4.692031, 5.942031, 6.352031, 7.212031, 7.092031, 6.602031, 6.432031,     6.162031, 5.072031, 5.072031, 4.802031, 5.322031, 5.382031, 5.152031,     4.372031, 3.352031, 3.042031, 3.442031, 3.982031, 3.682031, 3.682031,     3.842031, 3.922031, 3.222031, 5.392031, 7.092031, 7.822031, 7.852031, 0,     0, 0,  0, 5.262031, 5.682031, 6.052031, 6.192031, 5.922031, 5.922031, 6.362031,     7.372031, 8.182032, 9.252031, 10.18203, 10.17203, 8.772031, 7.252031,     7.412031, 7.322031, 7.322031, 6.802031, 6.842031, 7.702031, 9.072031,     9.492031, 8.352032, 8.122031, 7.962031, 5.322031, 4.352031, 4.352031,     4.352031, 5.252031, 5.442031, 5.212031, 5.282031, 5.312031, 5.062031,     4.132031, 4.692031, 5.432031, 5.432031, 3.782031, 3.622031, 4.052031,     3.592031, 3.272031, 2.572031, 4.022031, 4.902031, 4.972031, 4.122031,     4.122031, 2.892031, 1.822031, 0.882031, 0.622031, 0.642031, 0.422031,     0.6820309, 1.502031, 1.912031, 2.122031, 2.122031, 1.862031, 5.272031,     7.472031, 7.582031, 6.192031, 4.922031, 3.702031, 2.742031, 2.112031,     1.532031, 1.532031, 2.832031, 4.032031, 5.052031, 6.792031, 6.232031,     5.192031, 3.932031, 4.162031, 4.372031, 4.672031, 5.472031, 5.472031,     6.212031, 7.782031, 9.132031, 8.992031, 8.702031, 8.182032, 8.402031,     8.622031, 8.282031, 7.532031, 7.532031, 6.842031, 7.002031, 7.542031,     7.072031, 6.182031, 5.752031, 5.392031, 5.222031, 5.012031, 5.262031,     5.262031, 5.482031, 4.592031, 3.332031, 3.862031, 6.462031, 6.922031, 0,     0, 0,  0, 5.762031, 6.322031, 6.852031, 6.872031, 6.162031, 6.002031, 6.002031,     7.022031, 7.632031, 7.742031, 7.672031, 8.852032, 7.862031, 6.702031,     7.262031, 8.322031, 8.052032, 8.052032, 7.602031, 8.172031, 9.032031,     8.712031, 8.372031, 9.082031, 10.15203, 10.40203, 10.42203, 9.802032,     9.802032, 9.412031, 9.092031, 7.242031, 6.422031, 5.612031, 4.762031,     4.732031, 5.892031, 6.822031, 6.762031, 6.762031, 5.842031, 5.552031,     5.422031, 4.742031, 4.552031, 3.832031, 4.492031, 5.862031, 5.742031,     4.432031, 2.722031, 1.932031, 0.892031, 0.882031, 0.952031, 1.042031,     1.542031, 2.052031, 2.232031, 2.982031, 3.322031, 3.322031, 5.622031,     7.402031, 7.462031, 7.522031, 7.342031, 6.782031, 5.292031, 4.372031,     2.782031, 2.582031, 2.582031, 4.552031, 7.082031, 7.412031, 6.932031,     6.252031, 5.342031, 4.482031, 4.252031, 4.362031, 4.872031, 4.872031,     5.712031, 7.152031, 7.822031, 8.602032, 8.982031, 8.592031, 7.872031,     7.822031, 8.412031, 9.142032, 9.142032, 8.032031, 7.782031, 8.422031,     8.522031, 8.172031, 7.602031, 6.642031, 6.052031, 5.922031, 5.972031,     5.632031, 5.632031, 5.332031, 3.362031, 2.752031, 2.962031, 3.892031, 0,     0, 0,  0, 5.672031, 6.362031, 7.182031, 7.242031, 6.072031, 6.092031, 7.352031,     7.352031, 8.262032, 8.492031, 8.192031, 9.172031, 9.832031, 9.812031,     9.522031, 9.542031, 9.372031, 8.522031, 8.522031, 9.022031, 9.322031,     8.812031, 8.712031, 9.342031, 10.61203, 11.28203, 11.65203, 11.14203,     10.15203, 10.15203, 9.052032, 7.712031, 5.792031, 4.722031, 4.772031,     4.852031, 5.842031, 7.242031, 8.282031, 8.622031, 8.622031, 8.352032,     8.082031, 8.072031, 7.552031, 7.142031, 6.952031, 6.962031, 6.932031,     7.132031, 6.752031, 6.752031, 4.952031, 4.542031, 4.542031, 2.772031,     3.152031, 2.852031, 2.652031, 3.302031, 4.782031, 6.352031, 6.352031,     7.832031, 8.202031, 8.412031, 8.692031, 8.562031, 7.972031, 6.482031,     4.462031, 3.312031, 5.202031, 5.202031, 6.122031, 6.142031, 6.672031,     6.802031, 6.132031, 5.262031, 4.682031, 4.242031, 3.882031, 4.282031,     4.282031, 6.382031, 7.362031, 7.712031, 8.442031, 8.142032, 6.932031,     3.932031, 2.262031, 5.422031, 7.242031, 7.242031, 6.202031, 5.662031,     6.172031, 6.442031, 7.802031, 6.842031, 6.262031, 5.822031, 5.682031,     5.172031, 5.172031, 4.372031, 2.952031, 2.332031, 2.272031, 2.912031, 0,     0, 0,  0, 4.562031, 5.622031, 6.532031, 7.232031, 5.922031, 6.442031, 7.832031,     8.842031, 8.842031, 9.412031, 9.572031, 9.732031, 10.68203, 10.68203,     10.51203, 10.23203, 9.962031, 10.27203, 10.55203, 10.55203, 10.49203,     10.13203, 9.742031, 10.58203, 10.52203, 11.11203, 11.53203, 11.28203,     9.222032, 6.742031, 6.742031, 5.342031, 4.052031, 4.172031, 5.032031,     5.242031, 4.642031, 4.652031, 5.872031, 5.532031, 4.842031, 8.932032,     9.352032, 9.122031, 9.012032, 9.122031, 8.572031, 7.922031, 7.892031,     8.722032, 8.642032, 7.752031, 7.752031, 6.772031, 6.242031, 4.722031,     3.402031, 3.192031, 2.812031, 1.772031, 1.112031, 4.622031, 6.182031,     6.182031, 8.062031, 8.922031, 8.982031, 9.182032, 8.942031, 7.822031,     6.632031, 6.592031, 6.572031, 5.932031, 5.932031, 5.752031, 6.402031,     6.732031, 7.652031, 7.202031, 6.442031, 5.442031, 4.692031, 3.392031,     4.792031, 4.792031, 6.442031, 6.992031, 7.292031, 6.832031, 3.352031,     -0.2379691, -1.867969, 0.7420309, 1.882031, 2.852031, 2.852031, 3.202031,     4.192031, 4.752031, 5.972031, 6.612031, 6.122031, 5.342031, 4.682031,     4.672031, 4.382031, 4.382031, 3.112031, 2.932031, 2.712031, 3.712031, 0,     0, 0,  0, 2.832031, 3.952031, 5.192031, 5.742031, 5.082031, 6.632031, 8.112031,     9.282031, 9.832031, 10.47203, 10.05203, 8.592031, 9.572031, 10.75203,     10.72203, 10.25203, 10.29203, 10.20203, 10.60203, 10.60203, 10.42203,     9.782031, 9.272031, 9.472032, 9.952031, 9.582031, 7.252031, 9.032031,     6.422031, 4.182031, 4.182031, 3.492031, 3.512031, 4.152031, 4.712031,     5.392031, 6.002031, 5.182031, 3.292031, 2.592031, 1.072031, 1.072031,     1.042031, 3.982031, 7.122031, 7.962031, 7.182031, 8.382031, 8.892032,     8.692031, 8.152031, 8.132031, 8.132031, 7.912031, 7.132031, 5.392031,     3.732031, 3.062031, 1.902031, 0.872031, 0.5920309, 0.8020309, 0.9920309,     0.9920309, 0.5220309, 0.9920309, 2.522031, 7.702031, 8.562031, 8.692031,     8.252031, 8.092031, 7.032031, 6.172031, 6.172031, 5.882031, 6.422031,     8.012032, 7.972031, 7.332031, 6.872031, 6.432031, 5.902031, 5.782031,     5.282031, 5.282031, 4.472031, 3.462031, 1.612031, -0.987969, -0.7779691,     -2.157969, -2.157969, -1.117969, 0.512031, 1.632031, 1.632031, 3.182031,     4.752031, 5.662031, 6.202031, 6.282031, 6.102031, 5.752031, 5.182031,     4.952031, 4.332031, 4.332031, 6.322031, 6.862031, 7.602031, 6.542031, 0,     0, 0,  0, 1.852031, 2.572031, 3.772031, 4.402031, 3.652031, 4.142031, 4.512031,     4.442031, 2.942031, 2.942031, 0.9020309, -1.517969, -1.547969, -0.677969,     4.752031, 5.542031, 8.782031, 10.13203, 10.39203, 9.952031, 9.952031,     9.192031, 8.462031, 7.282031, 5.042031, 5.782031, 5.612031, 6.072031,     7.012031, 7.772031, 7.932031, 7.932031, 7.412031, 4.942031, 5.092031,     5.892031, 6.282031, 4.402031, 1.872031, 1.742031, 1.722031, 1.022031,     1.022031, 2.512031, 4.332031, 6.082031, 6.942031, 6.582031, 5.752031,     5.802031, 6.642031, 7.272031, 8.002031, 8.002031, 7.052031, 7.252031,     5.892031, 4.692031, 2.932031, 3.002031, 3.442031, 3.172031, 2.462031,     1.522031, 1.522031, 1.012031, 1.592031, 2.462031, 3.322031, 3.332031,     6.072031, 8.182032, 8.362031, 7.422031, 5.852031, 5.852031, 6.252031,     7.542031, 7.872031, 7.262031, 6.742031, 6.432031, 6.372031, 5.802031,     5.282031, 4.702031, 4.702031, 2.512031, -0.3179691, -1.627969, -2.317969,     -2.927969, -2.837969, -2.417969, -0.4579691, 2.112031, 3.852031,     3.852031, 5.462031, 6.522031, 6.812031, 6.592031, 6.712031, 6.822031,     6.162031, 5.222031, 3.222031, 6.432031, 6.432031, 7.612031, 7.572031,     5.982031, 0, 0, 0,  0, 1.372031, 1.792031, 2.772031, 3.462031, 2.432031, 1.942031, 1.222031,     0.6120309, -0.327969, -1.067969, -1.067969, -1.027969, -0.8879691,     -0.607969, -0.1779691, -0.197969, 0.9120309, 2.642031, 3.102031,     9.952031, 9.542031, 9.542031, 8.512032, 5.242031, 3.072031, 5.742031,     7.102031, 8.382031, 9.642032, 10.37203, 10.41203, 9.622031, 9.622031,     7.762031, 7.302031, 7.192031, 4.882031, 4.272031, 2.212031, 3.092031,     3.972031, 3.302031, 3.482031, 3.482031, 3.972031, 4.362031, 6.092031,     5.872031, 2.822031, 3.832031, 5.942031, 6.702031, 5.482031, 4.472031,     4.472031, 5.112031, 7.942031, 7.692031, 6.252031, 6.242031, 6.162031,     6.242031, 5.112031, 3.492031, 2.492031, 2.492031, 2.822031, 3.652031,     3.392031, 2.192031, 3.342031, 6.792031, 7.792031, 7.092031, 6.582031,     5.732031, 5.732031, 5.262031, 5.512031, 5.282031, 6.382031, 5.102031,     1.672031, 1.152031, 1.262031, 1.912031, 0.4720309, 0.4720309, -0.7079691,     -1.107969, -1.367969, -1.317969, -1.107969, -0.4579691, -0.4579691,     1.182031, 2.532031, 3.232031, 3.232031, 3.532031, 3.342031, 3.192031,     5.832031, 5.442031, 4.052031, 2.562031, -1.057969, 3.142031, 5.002031,     5.002031, 4.462031, 2.532031, 0, 0, 0,  0.642031, 0.642031, 1.282031, 1.892031, 3.152031, 3.332031, 2.222031,     1.362031, 0.5220309, -0.2779691, -0.417969, -0.677969, -0.677969,     -1.027969, -0.9079691, -0.2379691, -0.1779691, -0.547969, -0.5679691,     -1.427969, -1.527969, 0.882031, 4.652031, 4.652031, 6.602031, 5.532031,     7.432031, 8.962031, 10.46203, 11.52203, 11.99203, 11.99203, 11.26203,     9.202031, 9.202031, 7.652031, 6.772031, 5.362031, 6.072031, 7.832031,     8.322031, 7.912031, 6.922031, 7.812031, 6.482031, 6.482031, 4.522031,     2.752031, 2.422031, 1.602031, 3.022031, 4.372031, 5.192031, 4.502031,     3.632031, 3.152031, 3.152031, 3.442031, 4.682031, 6.312031, 7.192031,     7.702031, 7.472031, 7.012031, 6.642031, 4.992031, 5.292031, 5.292031,     4.972031, 4.112031, 2.892031, 2.302031, 3.132031, 4.302031, 4.502031,     4.082031, 3.322031, 2.012031, 2.012031, 1.542031, 0.9620309, 0.7320309,     -1.757969, -2.397969, -1.597969, -0.6579691, 0.2220309, -0.1279691,     -0.1279691, 0.302031, 0.3120309, 1.702031, 1.852031, 1.582031, 1.502031,     0.9220309, 0.642031, 1.562031, 1.862031, 1.862031, 2.062031, 1.752031,     1.492031, 0.9620309, 0.192031, -0.687969, -0.8379691, -1.337969,     -0.8979691, 1.512031, 1.512031, 0.642031, -0.5379691, 0, 0, 0,  0.4020309, 1.042031, 1.042031, 1.802031, 2.882031, 4.182031, 3.392031,     2.432031, 1.652031, 1.212031, 1.072031, 0.5220309, -0.02796905,     -0.02796905, -0.747969, -0.8479691, -0.9079691, -1.207969, -1.397969,     -1.747969, -1.867969, -1.637969, 0.8620309, 4.642031, 4.642031, 7.042031,     8.412031, 9.642032, 11.21203, 11.90203, 11.85203, 12.27203, 11.57203,     9.492031, 7.792031, 7.792031, 6.972031, 6.532031, 6.472031, 8.612031,     9.012032, 8.322031, 5.992031, 5.342031, 4.292031, 4.292031, 1.692031,     0.1120309, -0.7079691, -1.437969, 0.2520309, 1.562031, 2.222031,     3.622031, 3.852031, 3.462031, 3.462031, 1.832031, 1.182031, 1.382031,     2.052031, 2.732031, 2.592031, 2.302031, 1.892031, 3.872031, 5.072031,     5.072031, 4.192031, 0.9920309, 0.002030945, 1.102031, 0.2320309,     0.512031, 0.632031, 0.4320309, 0.162031, -0.3479691, -0.3479691,     -0.867969, -1.387969, -1.877969, -2.157969, -3.267969, -1.917969,     -0.387969, 0.622031, 1.492031, 2.272031, 2.272031, 3.372031, 4.472031,     5.522031, 4.032031, 3.152031, 2.042031, 1.262031, 0.8020309, 0.6720309,     0.9120309, 0.9120309, 1.112031, 1.302031, 1.302031, 0.8020309, 0.5520309,     -0.4279691, -1.857969, -1.887969, -2.717969, -3.357969, -3.357969,     -3.597969, 0, 0, 0,  0.1520309, 0.762031, 1.592031, 1.592031, 2.412031, 3.282031, 2.722031,     2.022031, 1.892031, 1.472031, 1.352031, 0.622031, -0.007969055,     -0.197969, -0.197969, -0.08796906, -0.2179691, -1.227969, -1.667969,     -1.757969, -1.527969, -0.857969, -0.4779691, 0.8420309, 0.8420309,     1.642031, 2.802031, 2.862031, 5.382031, 9.012032, 9.912031, 10.87203,     10.30203, 8.942031, 8.502031, 8.502031, 7.632031, 7.702031, 7.432031,     8.002031, 8.612031, 6.902031, 3.162031, 2.062031, 1.522031, 0.642031,     0.642031, 0.4420309, 0.892031, 0.5520309, 0.002030945, 0.1520309,     0.752031, 1.012031, 0.632031, 2.442031, 2.232031, 2.232031, 2.092031,     1.552031, 0.9820309, 0.7420309, 0.572031, 0.08203094, 0.192031, 1.932031,     4.352031, 1.912031, 1.912031, 0.2920309, 0.3820309, 0.642031, 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