Lebedev Laikov spheircal integration weights and spherical angles u,v

Lebedev and Laikov (1999) derived 5810 integration weights and spherical angles for scalar products (i.e. integrals) of spherical harmonics involving sin(u) as sqare root of metric determinant in the weights. The scalar products are exact upto machine precision until l=65. They may be used to fit functions on the sphere in a least-squares sense. An R-binary data file and an rgl graphics-object are included. Lebedev, V. I.; D. N. Laikov (1999). A quadrature formula for the sphere of the 131st algebraic order of accuracy. Doklady Mathematics 59 (3): 477-481.Lebedev与Laikov（1999）推导得到5810个积分权重与球面角度，用于计算以sin(u)作为权重中度量行列式平方根的球谐函数标量积（即积分）。该类标量积在l≤65时可达到机器精度级别的精确性，可用于以最小二乘准则拟合球面上的函数。 本数据集包含R语言二进制数据文件与rgl绘图对象文件。 Lebedev V I, Laikov D N (1999). 适用于131次代数精度阶球面的求积公式. Doklady Mathematics, 59(3): 477-481.