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" A = edge[\"area\"]\n",
" G=1.0#todo shear_modulus\n",
" ixx = 1.0#todo section ixx\n",
" iyy = 1.0#todo section.iyy#\n",
" l0=length\n",
" j=1.0;#todo check\n",
" l02 = l0 * l0\n",
" l03 = l0 * l0 * l0\n",
" \n",
" ################################\n",
" mass=1\n",
" nu=0.35\n",
" W = 75\n",
" L = W/sqrt(2)\n",
" L=length\n",
" n_min = 1\n",
" n_max = 7\n",
" # Cross Section inputs, must be floats\n",
" E = 2000e9 # MPa\n",
" G = E * 1 / 3 # MPa\n",
" h = 2.38/100.0 # mm\n",
" b = 2.38/100.0 # mm\n",
" rho = 7.85e-9 / 3 # kg/mm^3\n",
" S = h * b\n",
" Sy = (S * (6 + 12 * nu + 6 * nu^2)/ (7 + 12 * nu + 4 * nu^2))\n",
" # For solid rectangular cross section (width=b, depth=d & ( b < d )):\n",
" Q = 1 / 3 - 0.2244 / (min(h / b, b / h) + 0.1607)\n",
" J = Q * min(h * b^3, b * h^3)\n",
" \n",
" \n",
" ##if voxels\n",
" #nu=0\n",
" #L=l\n",
" #a1 = E*L # EA/L : Units of N/m\n",
" #a2 = E * L*L*L / (12.0*(1+nu)) # GJ/L : Units of N-m\n",
" #b1 = E*L # 12EI/L^3 : Units of N/m\n",
" #b2 = E*L*L/2.0 # 6EI/L^2 : Units of N (or N-m/m: torque related to linear distance)\n",
" #b3 = E*L*L*L/6.0 # 2EI/L : Units of N-m\n",
" \n",
" I= b*h^3/12\n",
"# J=b*h*(b*b+h*h)/12\n",
" a1=E*b*h/L\n",
" a2=G*J/L\n",
" b1=12*E*I/(L^3)\n",
" b2=6*E*I/(L^2)\n",
" b3=2*E*I/(L)\n",
" \n",
" # Cm = rho * area * length /6.0\n",
" # Ck= E * area / length \n",
"\n",
" # m = [[2 1];[1 2]]\n",
" # k = [[1 -1];[-1 1]]\n",
" \n",
"\n",
" k = [[E*A/l0 0 0 0 0 0 -E*A/l0 0 0 0 0 0];[0 12*E*ixx/l03 0 0 0 6*E*ixx/l02 0 -12*E*ixx/l03 0 0 0 6*E*ixx/l02];[0 0 12*E*iyy/l03 0 -6*E*iyy/l02 0 0 0 -12*E*iyy/l03 0 -6*E*iyy/l02 0];[0 0 0 G*j/l0 0 0 0 0 0 -G*j/l0 0 0];[0 0 -6*E*iyy/l02 0 4*E*iyy/l0 0 0 0 6*E*iyy/l02 0 2*E*iyy/l0 0];[0 6*E*ixx/l02 0 0 0 4*E*ixx/l0 0 -6*E*ixx/l02 0 0 0 2*E*ixx/l0];[-E*A/l0 0 0 0 0 0 E*A/l0 0 0 0 0 0];[0 -12*E*ixx/l03 0 0 0 -6*E*ixx/l02 0 12*E*ixx/l03 0 0 0 -6*E*ixx/l02];[0 0 -12*E*iyy/l03 0 6*E*iyy/l02 0 0 0 12*E*iyy/l03 0 6*E*iyy/l02 0];[0 0 0 -G*j/l0 0 0 0 0 0 G*j/l0 0 0];[0 0 -6*E*iyy/l02 0 2*E*iyy/l0 0 0 0 6*E*iyy/l02 0 4*E*iyy/l0 0];[0 6*E*ixx/l02 0 0 0 2*E*ixx/l0 0 -6*E*ixx/l02 0 0 0 4*E*ixx/l0]]\n",
" k= [[ a1 0 0 0 0 0 -a1 0 0 0 0 0 ];\n",
" [ 0 b1 0 0 0 b2 0 -b1 0 0 0 b2 ];\n",
" [ 0 0 b1 0 -b2 0 0 0 -b1 0 -b2 0 ];\n",
" [ 0 0 0 a2 0 0 0 0 0 -a2 0 0 ];\n",
" [ 0 0 0 0 2b3 0 0 0 b2 0 b3 0 ];\n",
" [ 0 0 0 0 0 2b3 0 -b2 0 0 0 b3 ];\n",
" [ 0 0 0 0 0 0 a1 0 0 0 0 0 ];\n",
" [ 0 0 0 0 0 0 0 b1 0 0 0 -b2 ];\n",
" [ 0 0 0 0 0 0 0 0 b1 0 b2 0 ];\n",
" [ 0 0 0 0 0 0 0 0 0 a2 0 0 ];\n",
" [ 0 0 0 0 0 0 0 0 0 0 2b3 0 ];\n",
" [ 0 0 0 0 0 0 0 0 0 0 0 2b3 ]]\n",
" # find rotated mass and stifness matrices\n",
" tau = rotation_matrix(element_vector, x_axis,y_axis,z_axis)\n",
"\n",
" # m_r=transpose(tau)*m*tau\n",
" k_r=transpose(tau)*k*tau\n",
"\n",
" # change from element to global coordinate\n",
" index= dofs.+1\n",
"\n",
" B=zeros((12,ndofs))\n",
" for i in 1:12\n",
" B[i,index[i]]=1.0\n",
" end\n",
"\n",
"\n",
" # M_rG= transpose(B)*m_r*B\n",
" K_rG= transpose(B)*k_r*B\n",
"\n",
" # M += Cm .* M_rG\n",
" # K += Ck .* K_rG\n",
" K += K_rG\n",
"\n",
" end\n",
" \n",
" \n",
" # construct the force vector\n",
" F=zeros(ndofs)\n",
" remove_indices=[];\n",
" for node in nodes\n",
" #insert!(F,i, value);\n",
" #F=vcat(F,value)\n",
" \n",
" \n",
" i=parse(Int,node[\"id\"][2:end])\n",
" f=node[\"force\"]\n",
" \n",
" # println(f)\n",
" F[(i)*6+1]=f[\"x\"]/1.0\n",
" F[(i)*6+2]=f[\"y\"]/1.0\n",
" F[(i)*6+3]=f[\"z\"]/1.0\n",
" F[(i)*6+4]=0\n",
" F[(i)*6+5]=0\n",
" F[(i)*6+6]=0\n",
" Load+=f[\"y\"]/1.0\n",
" if (F[(i)*6+2]!=0)\n",
" append!(topNodesIndices,i)\n",
" end\n",
" \n",
" dofs = convert(Array{Int}, node[\"degrees_of_freedom\"]).+1\n",
" restrained_dofs=node[\"restrained_degrees_of_freedom\"]\n",
" for (index, value) in enumerate(dofs)\n",
" if restrained_dofs[index]\n",
" append!( remove_indices, value)\n",
" end\n",
" end\n",
" \n",
" end\n",
"\n",
" #println(remove_indices)\n",
" #print(K)\n",
" #print(F)\n",
" \n",
"\n",
" #M = M[setdiff(1:end, remove_indices), :]\n",
" K = K[setdiff(1:end, remove_indices), :]\n",
"\n",
" #M = M[:,setdiff(1:end, remove_indices)]\n",
" K = K[:,setdiff(1:end, remove_indices)]\n",
"\n",
" F = F[setdiff(1:end, remove_indices)]\n",
" U=zeros(ndofs)\n",
" \n",
" return M,K,F,U,remove_indices\n",
" end\n",
"\n",
" \n",
" function updateDisplacement(setup, X)\n",
" nodes= setup[\"nodes\"]\n",
" i=0\n",
" for node in nodes\n",
" \n",
"# if !node[\"restrained_degrees_of_freedom\"][2]\n",
" #i=parse(Int,node[\"id\"][2:end])\n",
" node[\"displacement\"][\"x\"]=X[(i)*6+1]/15\n",
" node[\"displacement\"][\"y\"]=X[(i)*6+2]/15\n",
" node[\"displacement\"][\"z\"]=X[(i)*6+3]/15\n",
" node[\"angle\"][\"x\"]=X[(i)*6+4]\n",
" node[\"angle\"][\"y\"]=X[(i)*6+5]\n",
" node[\"angle\"][\"z\"]=X[(i)*6+6]\n",
" append!(displacementFEA,[Vector3(X[(i)*6+1],X[(i)*6+2],X[(i)*6+3])])\n",
" i=i+1\n",
"# else\n",
"# append!(displacementFEA,[Vector3(0,0,0)])\n",
"# end\n",
" end\n",
" end\n",
" \n",
" #######################################################\n",
"\n",
" function get_stresses(setup)\n",
" nodes = setup[\"nodes\"]\n",
" edges = setup[\"edges\"]\n",
" ndofs = length(nodes)*6\n",
"\n",
" x_axis = [1 0 0]\n",
" y_axis = [0 1 0]\n",
" z_axis = [0 0 1]\n",
"\n",
" # find the stresses in each member\n",
" stresses=zeros(length(edges))\n",
" max11=-10e6\n",
" min11=10e6\n",
" for edge in edges\n",
" #degrees_of_freedom = properties[\"degrees_of_freedom\"]\n",
"\n",
" element=parse(Int,edge[\"id\"][2:end])\n",
"\n",
" # find the nodes that the lements connects\n",
" fromNode = nodes[edge[\"source\"]+1]\n",
" toNode = nodes[edge[\"target\"]+1]\n",
"\n",
" # the coordinates for each node\n",
" fromPoint = [fromNode[\"position\"][\"x\"]/100.0 fromNode[\"position\"][\"y\"]/100.0 fromNode[\"position\"][\"z\"]/100.0]\n",
" toPoint = [toNode[\"position\"][\"x\"]/100.0 toNode[\"position\"][\"y\"]/100.0 toNode[\"position\"][\"z\"]/100.0]\n",
"\n",
" # find the degrees of freedom for each node\n",
" dofs = convert(Array{Int}, fromNode[\"degrees_of_freedom\"])\n",
" dofs=vcat(dofs,convert(Array{Int}, toNode[\"degrees_of_freedom\"]))\n",
"\n",
" element_vector=toPoint-fromPoint\n",
"\n",
"\n",
" # find rotated mass and stifness matrices\n",
" tau = rotation_matrix(element_vector, x_axis,y_axis,z_axis)\n",
"\n",
" # i1=parse(Int,fromNode[\"id\"][2:end])\n",
" # i2=parse(Int,toNode[\"id\"][2:end])\n",
"\n",
" # global_displacements=[X[(i1)*6+1] X[(i1)*6+2] X[(i1)*6+3] X[(i1)*6+4] X[(i1)*6+5] X[(i1)*6+6] X[(i2)*6+1] X[(i2)*6+2] X[(i2)*6+3] X[(i2)*6+4] X[(i2)*6+5] X[(i2)*6+6]] # todo change\n",
" global_displacements=[fromNode[\"displacement\"][\"x\"] fromNode[\"displacement\"][\"y\"] fromNode[\"displacement\"][\"z\"] fromNode[\"angle\"][\"x\"] fromNode[\"angle\"][\"y\"] fromNode[\"angle\"][\"z\"] toNode[\"displacement\"][\"x\"] toNode[\"displacement\"][\"y\"] toNode[\"displacement\"][\"z\"] toNode[\"angle\"][\"x\"] toNode[\"angle\"][\"y\"] toNode[\"angle\"][\"z\"]] # todo change\n",
"\n",
" # nodal displacement\n",
"\n",
" q=tau*transpose(global_displacements)\n",
" # println(q)\n",
" # calculate the strain and stresses\n",
" strain =(q[7]-q[1])/norm(element_vector)\n",
" E = edge[\"stiffness\"]# youngs modulus\n",
" stress=E.*strain\n",
" edge[\"stress\"]=stress\n",
" if stress>max11\n",
" max11=stress\n",
" end\n",
" if stress<min11\n",
" min11=stress\n",
" end\n",
" # println(element)\n",
" # println(stress)\n",
" end\n",
"\n",
"\n",
"\n",
" setup[\"viz\"][\"minStress\"]=min11\n",
" setup[\"viz\"][\"maxStress\"]=max11\n",
" return stresses\n",
" end\n",
" \n",
" function initialize(setup)\n",
" nodes = setup[\"nodes\"]\n",
" ndofs = length(nodes)*6\n",
" \n",
" i=0\n",
" for node in nodes\n",
" dg=[]\n",
" for ii in 0:5\n",
" append!(dg,i+ii) \n",
" end\n",
" i+=6\n",
" node[\"degrees_of_freedom\"]=dg\n",
" end\n",
" end\n",
"\n",
" #######################################################\n",
" function solveFea(setup)\n",
" // # determine the global matrices\n",
" initialize(setup)\n",
" M,K,F,U,ind=get_matrices(setup)\n",
" \n",
" #println(M)\n",
" #println(K)\n",
" #println(F)\n",
"\n",
" #evals=eigvals(K,M)\n",
" #evecs=eigvecs(K,M)\n",
" #frequencies=sqrt.(evals)\n",
" X=inv(K)*F\n",
" U[setdiff(1:end, ind)]=X\n",
"\n",
" updateDisplacement(setup, U)\n",
"\n",
" # determine the stresses in each element\n",
" stresses=get_stresses(setup)\n",
" end\n",
" #######################################################\n",
" displacementFEA=[]\n",
" Load=0\n",
" topNodesIndices=[]\n",
" solveFea(setup)\n",
" return displacementFEA,Load,topNodesIndices\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"recommendedTimeStep (generic function with 1 method)"
]
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"execution_count": 17,
"metadata": {},
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],
"source": [
"function recommendedTimeStep()\n",
" \n",
" \n",
"# #find the largest natural frequency (sqrt(k/m)) that anything in the simulation will experience, then multiply by 2*pi and invert to get the optimally largest timestep that should retain stability\n",
"# MaxFreq2 = 0.0; #maximum frequency in the simulation in rad/sec\n",
" \n",
"# for e in 1:length(edges) #for each edge\n",
"# CVX_Link* pL = (*it);\n",
"# #axial\n",
"# m1 = mass(), m2 = mass()\n",
"# thisMaxFreq2 = axialStiffness()/(m1<m2?m1:m2)\n",
"# if (thisMaxFreq2 > MaxFreq2) \n",
"# MaxFreq2 = thisMaxFreq2;\n",
"# end\n",
"\n",
"# #rotational will always be less than or equal\n",
"# end\n",
" \n",
"\n",
"# if (MaxFreq2 <= 0.0) #didn't find anything (i.e no links) check for individual voxelss\n",
"# for n in 1:length(nodes) #for each node\n",
"# thisMaxFreq2 = youngsModulus*nomSize/mass;\n",
"# #thisMaxFreq2 = (*it)->mat->youngsModulus()*(*it)->mat->nomSize/(*it)->mat->mass();\n",
"# if (thisMaxFreq2 > MaxFreq2) \n",
"# MaxFreq2 = thisMaxFreq2;\n",
"# end\n",
"# end\n",
"# end\n",
"\n",
"# if (MaxFreq2 <= 0.0) \n",
"# return 0.0\n",
"# else \n",
"# return 1.0/(6.283185*sqrt(MaxFreq2)) #the optimal timestep is to advance one radian of the highest natural frequency\n",
"# end\n",
" MaxFreq2=E*size/mass\n",
" return 1/(6.283185*sqrt(MaxFreq2))\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"getSetup (generic function with 1 method)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"function getSetup(latticeSize)\n",
" setup = Dict()\n",
" name=string(\"../json/setupTestUni$latticeSize\",\".json\")\n",
"# open(\"../json/setupValid2.json\", \"r\") do f\n",
"# open(\"../json/setupTest.json\", \"r\") do f\n",
" # open(\"../json/trialJulia.json\", \"r\") do f\n",
"# open(\"../json/setupTestUni4.json\", \"r\") do f\n",
" # open(\"../json/setupChiral.json\", \"r\") do f\n",
"# open(\"../json/setupTestCubeUni10.json\", \"r\") do f\n",
" open(name, \"r\") do f\n",
"# global setup\n",
" dicttxt = String(read(f)) # file information to string\n",
" setup=JSON.parse(dicttxt) # parse and transform data\n",
" end\n",
"\n",
" setup=setup[\"setup\"]\n",
" return setup\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4-element Array{Any,1}:\n",
" 4\n",
" 7\n",
" 8\n",
" 9"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"latticeSize=1\n",
"setup=getSetup(latticeSize)\n",
"displacementFEA,Load,topNodesIndices=fea(setup)\n",
"topNodesIndices"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5-element Array{Float64,1}:\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0\n",
" 0.0"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"DDisplacements=[[],[],[],[],[]]\n",
"DDisplacementsFEA=[[],[],[],[],[]]\n",
"EsFEA=[0.0,0,0,0,0]\n",
"Es=[0.0,0,0,0,0]"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"latticeSize=5\n",
"setup=getSetup(latticeSize)\n",
"displacementFEA,Load,topNodesIndices=fea(setup);"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dt: 7.294855212986817e-7\n",
"first timestep took 0.0006283 seconds\n",
"ran latticeSize 5 with 540 voxels and 1800 edges for 2000 time steps took 0.8313075 seconds\n",
"EsFEA:[4.516432560172212, 7.389712166701619, 9.998185539814536, 12.509610413282042, 14.980612218071958]\n",
"Es:[-1.7207658256817755, -1.7187653726043761, -1.8909709475438676, -2.125645742684135, -2.322015017271702]\n",
"FEA displacement= -8.696319301969073e-10,converged displacement= 3.0929663544073403e-9\n"
]
},
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"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 1837.87, 1479.62)\" x=\"1837.87\" y=\"1479.62\">1500</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:middle;\" transform=\"rotate(0, 2296.77, 1479.62)\" x=\"2296.77\" y=\"1479.62\">2000</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 201.946, 1439.24)\" x=\"201.946\" y=\"1439.24\">-</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 230.056, 1439.24)\" x=\"230.056\" y=\"1439.24\">1×10</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:38px; text-anchor:start;\" transform=\"rotate(0, 338.454, 1411.83)\" x=\"338.454\" y=\"1411.83\">-</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:38px; text-anchor:start;\" transform=\"rotate(0, 361.293, 1411.83)\" x=\"361.293\" y=\"1411.83\">7</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:end;\" transform=\"rotate(0, 383.037, 1227.48)\" x=\"383.037\" y=\"1227.48\">0</text>\n",
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"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:48px; text-anchor:start;\" transform=\"rotate(0, 230.056, 1028.17)\" x=\"230.056\" y=\"1028.17\">1×10</text>\n",
"</g>\n",
"<g clip-path=\"url(#clip0800)\">\n",
"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:38px; text-anchor:start;\" transform=\"rotate(0, 338.454, 1000.76)\" x=\"338.454\" y=\"1000.76\">-</text>\n",
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"<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:38px; text-anchor:start;\" transform=\"rotate(0, 338.454, 795.231)\" x=\"338.454\" y=\"795.231\">-</text>\n",
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" 1297.3,553.333 1298.21,554.123 1299.13,554.921 1300.05,555.726 1300.97,556.538 1301.88,557.354 1302.8,558.176 1303.72,559.003 1304.64,559.834 1305.56,560.668 \n",
" 1306.47,561.504 1307.39,562.344 1308.31,563.185 1309.23,564.027 1310.14,564.87 1311.06,565.713 1311.98,566.556 1312.9,567.398 1313.82,568.239 1314.73,569.077 \n",
" 1315.65,569.913 1316.57,570.746 1317.49,571.575 1318.4,572.4 1319.32,573.221 1320.24,574.037 1321.16,574.847 1322.08,575.651 1322.99,576.448 1323.91,577.239 \n",
" 1324.83,578.022 1325.75,578.797 1326.66,579.564 1327.58,580.322 1328.5,581.071 1329.42,581.81 1330.34,582.539 1331.25,583.257 1332.17,583.965 1333.09,584.661 \n",
" 1334.01,585.345 1334.92,586.018 1335.84,586.678 1336.76,587.326 1337.68,587.96 1338.6,588.581 1339.51,589.188 1340.43,589.781 1341.35,590.36 1342.27,590.924 \n",
" 1343.18,591.474 1344.1,592.008 1345.02,592.527 1345.94,593.03 1346.86,593.517 1347.77,593.988 1348.69,594.443 1349.61,594.881 1350.53,595.303 1351.45,595.708 \n",
" 1352.36,596.096 1353.28,596.466 1354.2,596.82 1355.12,597.156 1356.03,597.474 1356.95,597.775 1357.87,598.058 1358.79,598.323 1359.71,598.57 1360.62,598.8 \n",
" 1361.54,599.011 1362.46,599.205 1363.38,599.38 1364.29,599.538 1365.21,599.677 1366.13,599.799 1367.05,599.903 1367.97,599.988 1368.88,600.056 1369.8,600.106 \n",
" 1370.72,600.138 1371.64,600.153 1372.55,600.15 1373.47,600.13 1374.39,600.092 1375.31,600.037 1376.23,599.966 1377.14,599.877 1378.06,599.771 1378.98,599.649 \n",
" 1379.9,599.511 1380.81,599.356 1381.73,599.185 1382.65,598.998 1383.57,598.796 1384.49,598.579 1385.4,598.346 1386.32,598.098 1387.24,597.836 1388.16,597.559 \n",
" 1389.07,597.268 1389.99,596.964 1390.91,596.645 1391.83,596.314 1392.75,595.969 1393.66,595.612 1394.58,595.242 1395.5,594.86 1396.42,594.466 1397.33,594.061 \n",
" 1398.25,593.645 1399.17,593.217 1400.09,592.78 1401.01,592.332 1401.92,591.875 1402.84,591.408 1403.76,590.932 1404.68,590.447 1405.59,589.954 1406.51,589.453 \n",
" 1407.43,588.944 1408.35,588.428 1409.27,587.906 1410.18,587.376 1411.1,586.841 1412.02,586.3 1412.94,585.753 1413.85,585.202 1414.77,584.646 1415.69,584.086 \n",
" 1416.61,583.522 1417.53,582.954 1418.44,582.384 1419.36,581.811 1420.28,581.235 1421.2,580.658 1422.12,580.079 1423.03,579.499 1423.95,578.918 1424.87,578.337 \n",
" 1425.79,577.756 1426.7,577.175 1427.62,576.595 1428.54,576.016 1429.46,575.438 1430.38,574.862 1431.29,574.289 1432.21,573.718 1433.13,573.15 1434.05,572.585 \n",
" 1434.96,572.024 1435.88,571.466 1436.8,570.913 1437.72,570.365 1438.64,569.821 1439.55,569.283 1440.47,568.75 1441.39,568.223 1442.31,567.702 1443.22,567.188 \n",
" 1444.14,566.68 1445.06,566.18 1445.98,565.686 1446.9,565.201 1447.81,564.723 1448.73,564.253 1449.65,563.792 1450.57,563.339 1451.48,562.895 1452.4,562.46 \n",
" 1453.32,562.034 1454.24,561.618 1455.16,561.212 1456.07,560.816 1456.99,560.429 1457.91,560.053 1458.83,559.688 1459.74,559.333 1460.66,558.989 1461.58,558.656 \n",
" 1462.5,558.334 1463.42,558.024 1464.33,557.725 1465.25,557.437 1466.17,557.161 1467.09,556.897 1468,556.644 1468.92,556.404 1469.84,556.176 1470.76,555.959 \n",
" 1471.68,555.755 1472.59,555.563 1473.51,555.384 1474.43,555.216 1475.35,555.061 1476.26,554.919 1477.18,554.789 1478.1,554.671 1479.02,554.566 1479.94,554.473 \n",
" 1480.85,554.392 1481.77,554.324 1482.69,554.268 1483.61,554.225 1484.52,554.193 1485.44,554.174 1486.36,554.167 1487.28,554.172 1488.2,554.189 1489.11,554.219 \n",
" 1490.03,554.259 1490.95,554.312 1491.87,554.376 1492.79,554.452 1493.7,554.539 1494.62,554.638 1495.54,554.747 1496.46,554.868 1497.37,554.999 1498.29,555.141 \n",
" 1499.21,555.294 1500.13,555.457 1501.05,555.63 1501.96,555.814 1502.88,556.007 1503.8,556.21 1504.72,556.423 1505.63,556.645 1506.55,556.876 1507.47,557.115 \n",
" 1508.39,557.364 1509.31,557.621 1510.22,557.887 1511.14,558.16 1512.06,558.441 1512.98,558.73 1513.89,559.027 1514.81,559.33 1515.73,559.641 1516.65,559.958 \n",
" 1517.57,560.281 1518.48,560.611 1519.4,560.947 1520.32,561.288 1521.24,561.635 1522.15,561.987 1523.07,562.343 1523.99,562.705 1524.91,563.071 1525.83,563.441 \n",
" 1526.74,563.815 1527.66,564.193 1528.58,564.574 1529.5,564.958 1530.41,565.345 1531.33,565.734 1532.25,566.126 1533.17,566.52 1534.09,566.915 1535,567.312 \n",
" 1535.92,567.71 1536.84,568.11 1537.76,568.51 1538.67,568.91 1539.59,569.311 1540.51,569.711 1541.43,570.112 1542.35,570.511 1543.26,570.91 1544.18,571.308 \n",
" 1545.1,571.705 1546.02,572.1 1546.93,572.493 1547.85,572.884 1548.77,573.272 1549.69,573.659 1550.61,574.042 1551.52,574.423 1552.44,574.8 1553.36,575.174 \n",
" 1554.28,575.544 1555.19,575.91 1556.11,576.272 1557.03,576.63 1557.95,576.983 1558.87,577.332 1559.78,577.676 1560.7,578.015 1561.62,578.348 1562.54,578.676 \n",
" 1563.46,578.998 1564.37,579.315 1565.29,579.625 1566.21,579.93 1567.13,580.228 1568.04,580.52 1568.96,580.805 1569.88,581.083 1570.8,581.354 1571.72,581.619 \n",
" 1572.63,581.876 1573.55,582.126 1574.47,582.369 1575.39,582.604 1576.3,582.832 1577.22,583.051 1578.14,583.263 1579.06,583.468 1579.98,583.664 1580.89,583.852 \n",
" 1581.81,584.032 1582.73,584.204 1583.65,584.367 1584.56,584.523 1585.48,584.67 1586.4,584.808 1587.32,584.938 1588.24,585.06 1589.15,585.173 1590.07,585.277 \n",
" 1590.99,585.374 1591.91,585.461 1592.82,585.54 1593.74,585.61 1594.66,585.672 1595.58,585.726 1596.5,585.77 1597.41,585.807 1598.33,585.834 1599.25,585.854 \n",
" 1600.17,585.865 1601.08,585.867 1602,585.862 1602.92,585.848 1603.84,585.826 1604.76,585.795 1605.67,585.757 1606.59,585.711 1607.51,585.656 1608.43,585.594 \n",
" 1609.34,585.524 1610.26,585.447 1611.18,585.362 1612.1,585.269 1613.02,585.169 1613.93,585.062 1614.85,584.948 1615.77,584.827 1616.69,584.698 1617.6,584.563 \n",
" 1618.52,584.422 1619.44,584.274 1620.36,584.119 1621.28,583.958 1622.19,583.791 1623.11,583.618 1624.03,583.44 1624.95,583.255 1625.86,583.065 1626.78,582.87 \n",
" 1627.7,582.669 1628.62,582.464 1629.54,582.253 1630.45,582.038 1631.37,581.819 1632.29,581.594 1633.21,581.366 1634.12,581.134 1635.04,580.897 1635.96,580.657 \n",
" 1636.88,580.414 1637.8,580.167 1638.71,579.917 1639.63,579.664 1640.55,579.408 1641.47,579.15 1642.39,578.889 1643.3,578.626 1644.22,578.36 1645.14,578.093 \n",
" 1646.06,577.824 1646.97,577.554 1647.89,577.282 1648.81,577.009 1649.73,576.735 1650.65,576.461 1651.56,576.185 1652.48,575.909 1653.4,575.633 1654.32,575.357 \n",
" 1655.23,575.081 1656.15,574.805 1657.07,574.53 1657.99,574.255 1658.91,573.981 1659.82,573.708 1660.74,573.436 1661.66,573.165 1662.58,572.896 1663.49,572.629 \n",
" 1664.41,572.363 1665.33,572.099 1666.25,571.838 1667.17,571.578 1668.08,571.321 1669,571.067 1669.92,570.815 1670.84,570.566 1671.75,570.32 1672.67,570.077 \n",
" 1673.59,569.838 1674.51,569.602 1675.43,569.369 1676.34,569.14 1677.26,568.915 1678.18,568.694 1679.1,568.477 1680.01,568.264 1680.93,568.055 1681.85,567.851 \n",
" 1682.77,567.651 1683.69,567.456 1684.6,567.265 1685.52,567.079 1686.44,566.898 1687.36,566.722 1688.27,566.551 1689.19,566.385 1690.11,566.225 1691.03,566.069 \n",
" 1691.95,565.919 1692.86,565.774 1693.78,565.635 1694.7,565.501 1695.62,565.373 1696.53,565.25 1697.45,565.133 1698.37,565.022 1699.29,564.917 1700.21,564.817 \n",
" 1701.12,564.723 1702.04,564.635 1702.96,564.552 1703.88,564.476 1704.79,564.405 1705.71,564.341 1706.63,564.282 1707.55,564.229 1708.47,564.182 1709.38,564.141 \n",
" 1710.3,564.106 1711.22,564.077 1712.14,564.053 1713.06,564.035 1713.97,564.024 1714.89,564.017 1715.81,564.017 1716.73,564.023 1717.64,564.034 1718.56,564.05 \n",
" 1719.48,564.073 1720.4,564.101 1721.32,564.134 1722.23,564.173 1723.15,564.217 1724.07,564.267 1724.99,564.321 1725.9,564.381 1726.82,564.447 1727.74,564.517 \n",
" 1728.66,564.592 1729.58,564.672 1730.49,564.757 1731.41,564.846 1732.33,564.941 1733.25,565.04 1734.16,565.143 1735.08,565.251 1736,565.362 1736.92,565.479 \n",
" 1737.84,565.599 1738.75,565.723 1739.67,565.851 1740.59,565.983 1741.51,566.119 1742.42,566.258 1743.34,566.401 1744.26,566.546 1745.18,566.696 1746.1,566.848 \n",
" 1747.01,567.003 1747.93,567.161 1748.85,567.322 1749.77,567.486 1750.68,567.652 1751.6,567.82 1752.52,567.991 1753.44,568.164 1754.36,568.339 1755.27,568.516 \n",
" 1756.19,568.694 1757.11,568.875 1758.03,569.056 1758.94,569.24 1759.86,569.424 1760.78,569.61 1761.7,569.796 1762.62,569.984 1763.53,570.172 1764.45,570.361 \n",
" 1765.37,570.551 1766.29,570.741 1767.2,570.931 1768.12,571.121 1769.04,571.312 1769.96,571.502 1770.88,571.692 1771.79,571.882 1772.71,572.071 1773.63,572.26 \n",
" 1774.55,572.448 1775.46,572.635 1776.38,572.821 1777.3,573.007 1778.22,573.191 1779.14,573.374 1780.05,573.555 1780.97,573.735 1781.89,573.913 1782.81,574.09 \n",
" 1783.73,574.265 1784.64,574.438 1785.56,574.609 1786.48,574.778 1787.4,574.945 1788.31,575.109 1789.23,575.272 1790.15,575.431 1791.07,575.588 1791.99,575.743 \n",
" 1792.9,575.894 1793.82,576.043 1794.74,576.189 1795.66,576.333 1796.57,576.473 1797.49,576.61 1798.41,576.743 1799.33,576.874 1800.25,577.001 1801.16,577.125 \n",
" 1802.08,577.246 1803,577.363 1803.92,577.476 1804.83,577.586 1805.75,577.692 1806.67,577.795 1807.59,577.893 1808.51,577.988 1809.42,578.08 1810.34,578.167 \n",
" 1811.26,578.251 1812.18,578.33 1813.09,578.406 1814.01,578.478 1814.93,578.545 1815.85,578.609 1816.77,578.669 1817.68,578.724 1818.6,578.776 1819.52,578.824 \n",
" 1820.44,578.867 1821.35,578.907 1822.27,578.942 1823.19,578.973 1824.11,579.001 1825.03,579.024 1825.94,579.043 1826.86,579.058 1827.78,579.069 1828.7,579.077 \n",
" 1829.61,579.08 1830.53,579.079 1831.45,579.074 1832.37,579.065 1833.29,579.053 1834.2,579.037 1835.12,579.016 1836.04,578.992 1836.96,578.965 1837.87,578.933 \n",
" 1838.79,578.898 1839.71,578.859 1840.63,578.817 1841.55,578.771 1842.46,578.722 1843.38,578.669 1844.3,578.613 1845.22,578.554 1846.13,578.491 1847.05,578.426 \n",
" 1847.97,578.357 1848.89,578.285 1849.81,578.21 1850.72,578.132 1851.64,578.051 1852.56,577.967 1853.48,577.881 1854.39,577.792 1855.31,577.7 1856.23,577.606 \n",
" 1857.15,577.51 1858.07,577.411 1858.98,577.31 1859.9,577.206 1860.82,577.101 1861.74,576.993 1862.66,576.884 1863.57,576.772 1864.49,576.659 1865.41,576.544 \n",
" 1866.33,576.428 1867.24,576.31 1868.16,576.19 1869.08,576.069 1870,575.947 1870.92,575.823 1871.83,575.699 1872.75,575.573 1873.67,575.447 1874.59,575.319 \n",
" 1875.5,575.191 1876.42,575.062 1877.34,574.933 1878.26,574.803 1879.18,574.673 1880.09,574.542 1881.01,574.411 1881.93,574.28 1882.85,574.149 1883.76,574.017 \n",
" 1884.68,573.886 1885.6,573.755 1886.52,573.625 1887.44,573.494 1888.35,573.364 1889.27,573.235 1890.19,573.106 1891.11,572.978 1892.02,572.85 1892.94,572.724 \n",
" 1893.86,572.598 1894.78,572.473 1895.7,572.349 1896.61,572.226 1897.53,572.105 1898.45,571.985 1899.37,571.866 1900.28,571.748 1901.2,571.632 1902.12,571.518 \n",
" 1903.04,571.405 1903.96,571.293 1904.87,571.184 1905.79,571.076 1906.71,570.97 1907.63,570.866 1908.54,570.764 1909.46,570.664 1910.38,570.566 1911.3,570.47 \n",
" 1912.22,570.376 1913.13,570.284 1914.05,570.195 1914.97,570.108 1915.89,570.023 1916.8,569.94 1917.72,569.86 1918.64,569.783 1919.56,569.708 1920.48,569.635 \n",
" 1921.39,569.565 1922.31,569.498 1923.23,569.433 1924.15,569.371 1925.06,569.311 1925.98,569.254 1926.9,569.2 1927.82,569.149 1928.74,569.1 1929.65,569.054 \n",
" 1930.57,569.011 1931.49,568.97 1932.41,568.933 1933.33,568.898 1934.24,568.866 1935.16,568.837 1936.08,568.81 1937,568.786 1937.91,568.766 1938.83,568.747 \n",
" 1939.75,568.732 1940.67,568.72 1941.59,568.71 1942.5,568.703 1943.42,568.699 1944.34,568.697 1945.26,568.699 1946.17,568.703 1947.09,568.709 1948.01,568.719 \n",
" 1948.93,568.731 1949.85,568.745 1950.76,568.763 1951.68,568.782 1952.6,568.805 1953.52,568.829 1954.43,568.857 1955.35,568.887 1956.27,568.919 1957.19,568.953 \n",
" 1958.11,568.99 1959.02,569.03 1959.94,569.071 1960.86,569.115 1961.78,569.161 1962.69,569.209 1963.61,569.259 1964.53,569.311 1965.45,569.366 1966.37,569.422 \n",
" 1967.28,569.48 1968.2,569.54 1969.12,569.602 1970.04,569.665 1970.95,569.731 1971.87,569.798 1972.79,569.866 1973.71,569.936 1974.63,570.008 1975.54,570.081 \n",
" 1976.46,570.156 1977.38,570.231 1978.3,570.309 1979.21,570.387 1980.13,570.466 1981.05,570.547 1981.97,570.629 1982.89,570.711 1983.8,570.795 1984.72,570.879 \n",
" 1985.64,570.965 1986.56,571.051 1987.47,571.138 1988.39,571.225 1989.31,571.313 1990.23,571.401 1991.15,571.49 1992.06,571.58 1992.98,571.669 1993.9,571.759 \n",
" 1994.82,571.849 1995.73,571.94 1996.65,572.03 1997.57,572.121 1998.49,572.211 1999.41,572.301 2000.32,572.392 2001.24,572.482 2002.16,572.572 2003.08,572.661 \n",
" 2004,572.75 2004.91,572.839 2005.83,572.927 2006.75,573.015 2007.67,573.102 2008.58,573.189 2009.5,573.275 2010.42,573.36 2011.34,573.444 2012.26,573.528 \n",
" 2013.17,573.61 2014.09,573.692 2015.01,573.773 2015.93,573.853 2016.84,573.931 2017.76,574.009 2018.68,574.085 2019.6,574.16 2020.52,574.234 2021.43,574.307 \n",
" 2022.35,574.379 2023.27,574.449 2024.19,574.517 2025.1,574.585 2026.02,574.65 2026.94,574.715 2027.86,574.777 2028.78,574.839 2029.69,574.898 2030.61,574.956 \n",
" 2031.53,575.013 2032.45,575.067 2033.36,575.12 2034.28,575.172 2035.2,575.221 2036.12,575.269 2037.04,575.315 2037.95,575.359 2038.87,575.402 2039.79,575.442 \n",
" 2040.71,575.481 2041.62,575.518 2042.54,575.553 2043.46,575.586 2044.38,575.617 2045.3,575.647 2046.21,575.674 2047.13,575.699 2048.05,575.723 2048.97,575.745 \n",
" 2049.88,575.764 2050.8,575.782 2051.72,575.798 2052.64,575.812 2053.56,575.824 2054.47,575.834 2055.39,575.842 2056.31,575.848 2057.23,575.852 2058.14,575.855 \n",
" 2059.06,575.855 2059.98,575.854 2060.9,575.851 2061.82,575.846 2062.73,575.839 2063.65,575.83 2064.57,575.819 2065.49,575.807 2066.4,575.793 2067.32,575.777 \n",
" 2068.24,575.76 2069.16,575.74 2070.08,575.719 2070.99,575.697 2071.91,575.672 2072.83,575.647 2073.75,575.619 2074.67,575.59 2075.58,575.56 2076.5,575.528 \n",
" 2077.42,575.494 2078.34,575.459 2079.25,575.423 2080.17,575.385 2081.09,575.346 2082.01,575.305 2082.93,575.264 2083.84,575.221 2084.76,575.177 2085.68,575.131 \n",
" 2086.6,575.085 2087.51,575.037 2088.43,574.989 2089.35,574.939 2090.27,574.888 2091.19,574.837 2092.1,574.784 2093.02,574.731 2093.94,574.677 2094.86,574.622 \n",
" 2095.77,574.566 2096.69,574.51 2097.61,574.452 2098.53,574.395 2099.45,574.336 2100.36,574.277 2101.28,574.218 2102.2,574.158 2103.12,574.098 2104.03,574.037 \n",
" 2104.95,573.976 2105.87,573.914 2106.79,573.853 2107.71,573.791 2108.62,573.729 2109.54,573.667 2110.46,573.605 2111.38,573.542 2112.29,573.48 2113.21,573.417 \n",
" 2114.13,573.355 2115.05,573.293 2115.97,573.231 2116.88,573.169 2117.8,573.108 2118.72,573.046 2119.64,572.985 2120.55,572.924 2121.47,572.864 2122.39,572.804 \n",
" 2123.31,572.744 2124.23,572.685 2125.14,572.627 2126.06,572.569 2126.98,572.511 2127.9,572.455 2128.81,572.398 2129.73,572.343 2130.65,572.288 2131.57,572.234 \n",
" 2132.49,572.181 2133.4,572.128 2134.32,572.077 2135.24,572.026 2136.16,571.976 2137.07,571.927 2137.99,571.879 2138.91,571.832 2139.83,571.786 2140.75,571.741 \n",
" 2141.66,571.697 2142.58,571.654 2143.5,571.612 2144.42,571.571 2145.33,571.531 2146.25,571.493 2147.17,571.455 2148.09,571.419 2149.01,571.384 2149.92,571.35 \n",
" 2150.84,571.318 2151.76,571.286 2152.68,571.256 2153.6,571.227 2154.51,571.2 2155.43,571.173 2156.35,571.148 2157.27,571.124 2158.18,571.102 2159.1,571.081 \n",
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" 1086.2,1388.71 1087.12,1388.71 1088.04,1388.71 1088.96,1388.71 1089.87,1388.71 1090.79,1388.71 1091.71,1388.71 1092.63,1388.71 1093.55,1388.71 1094.46,1388.71 \n",
" 1095.38,1388.71 1096.3,1388.71 1097.22,1388.71 1098.13,1388.71 1099.05,1388.71 1099.97,1388.71 1100.89,1388.71 1101.81,1388.71 1102.72,1388.71 1103.64,1388.71 \n",
" 1104.56,1388.71 1105.48,1388.71 1106.39,1388.71 1107.31,1388.71 1108.23,1388.71 1109.15,1388.71 1110.07,1388.71 1110.98,1388.71 1111.9,1388.71 1112.82,1388.71 \n",
" 1113.74,1388.71 1114.65,1388.71 1115.57,1388.71 1116.49,1388.71 1117.41,1388.71 1118.33,1388.71 1119.24,1388.71 1120.16,1388.71 1121.08,1388.71 1122,1388.71 \n",
" 1122.91,1388.71 1123.83,1388.71 1124.75,1388.71 1125.67,1388.71 1126.59,1388.71 1127.5,1388.71 1128.42,1388.71 1129.34,1388.71 1130.26,1388.71 1131.18,1388.71 \n",
" 1132.09,1388.71 1133.01,1388.71 1133.93,1388.71 1134.85,1388.71 1135.76,1388.71 1136.68,1388.71 1137.6,1388.71 1138.52,1388.71 1139.44,1388.71 1140.35,1388.71 \n",
" 1141.27,1388.71 1142.19,1388.71 1143.11,1388.71 1144.02,1388.71 1144.94,1388.71 1145.86,1388.71 1146.78,1388.71 1147.7,1388.71 1148.61,1388.71 1149.53,1388.71 \n",
" 1150.45,1388.71 1151.37,1388.71 1152.28,1388.71 1153.2,1388.71 1154.12,1388.71 1155.04,1388.71 1155.96,1388.71 1156.87,1388.71 1157.79,1388.71 1158.71,1388.71 \n",
" 1159.63,1388.71 1160.54,1388.71 1161.46,1388.71 1162.38,1388.71 1163.3,1388.71 1164.22,1388.71 1165.13,1388.71 1166.05,1388.71 1166.97,1388.71 1167.89,1388.71 \n",
" 1168.8,1388.71 1169.72,1388.71 1170.64,1388.71 1171.56,1388.71 1172.48,1388.71 1173.39,1388.71 1174.31,1388.71 1175.23,1388.71 1176.15,1388.71 1177.06,1388.71 \n",
" 1177.98,1388.71 1178.9,1388.71 1179.82,1388.71 1180.74,1388.71 1181.65,1388.71 1182.57,1388.71 1183.49,1388.71 1184.41,1388.71 1185.32,1388.71 1186.24,1388.71 \n",
" 1187.16,1388.71 1188.08,1388.71 1189,1388.71 1189.91,1388.71 1190.83,1388.71 1191.75,1388.71 1192.67,1388.71 1193.58,1388.71 1194.5,1388.71 1195.42,1388.71 \n",
" 1196.34,1388.71 1197.26,1388.71 1198.17,1388.71 1199.09,1388.71 1200.01,1388.71 1200.93,1388.71 1201.85,1388.71 1202.76,1388.71 1203.68,1388.71 1204.6,1388.71 \n",
" 1205.52,1388.71 1206.43,1388.71 1207.35,1388.71 1208.27,1388.71 1209.19,1388.71 1210.11,1388.71 1211.02,1388.71 1211.94,1388.71 1212.86,1388.71 1213.78,1388.71 \n",
" 1214.69,1388.71 1215.61,1388.71 1216.53,1388.71 1217.45,1388.71 1218.37,1388.71 1219.28,1388.71 1220.2,1388.71 1221.12,1388.71 1222.04,1388.71 1222.95,1388.71 \n",
" 1223.87,1388.71 1224.79,1388.71 1225.71,1388.71 1226.63,1388.71 1227.54,1388.71 1228.46,1388.71 1229.38,1388.71 1230.3,1388.71 1231.21,1388.71 1232.13,1388.71 \n",
" 1233.05,1388.71 1233.97,1388.71 1234.89,1388.71 1235.8,1388.71 1236.72,1388.71 1237.64,1388.71 1238.56,1388.71 1239.47,1388.71 1240.39,1388.71 1241.31,1388.71 \n",
" 1242.23,1388.71 1243.15,1388.71 1244.06,1388.71 1244.98,1388.71 1245.9,1388.71 1246.82,1388.71 1247.73,1388.71 1248.65,1388.71 1249.57,1388.71 1250.49,1388.71 \n",
" 1251.41,1388.71 1252.32,1388.71 1253.24,1388.71 1254.16,1388.71 1255.08,1388.71 1255.99,1388.71 1256.91,1388.71 1257.83,1388.71 1258.75,1388.71 1259.67,1388.71 \n",
" 1260.58,1388.71 1261.5,1388.71 1262.42,1388.71 1263.34,1388.71 1264.25,1388.71 1265.17,1388.71 1266.09,1388.71 1267.01,1388.71 1267.93,1388.71 1268.84,1388.71 \n",
" 1269.76,1388.71 1270.68,1388.71 1271.6,1388.71 1272.52,1388.71 1273.43,1388.71 1274.35,1388.71 1275.27,1388.71 1276.19,1388.71 1277.1,1388.71 1278.02,1388.71 \n",
" 1278.94,1388.71 1279.86,1388.71 1280.78,1388.71 1281.69,1388.71 1282.61,1388.71 1283.53,1388.71 1284.45,1388.71 1285.36,1388.71 1286.28,1388.71 1287.2,1388.71 \n",
" 1288.12,1388.71 1289.04,1388.71 1289.95,1388.71 1290.87,1388.71 1291.79,1388.71 1292.71,1388.71 1293.62,1388.71 1294.54,1388.71 1295.46,1388.71 1296.38,1388.71 \n",
" 1297.3,1388.71 1298.21,1388.71 1299.13,1388.71 1300.05,1388.71 1300.97,1388.71 1301.88,1388.71 1302.8,1388.71 1303.72,1388.71 1304.64,1388.71 1305.56,1388.71 \n",
" 1306.47,1388.71 1307.39,1388.71 1308.31,1388.71 1309.23,1388.71 1310.14,1388.71 1311.06,1388.71 1311.98,1388.71 1312.9,1388.71 1313.82,1388.71 1314.73,1388.71 \n",
" 1315.65,1388.71 1316.57,1388.71 1317.49,1388.71 1318.4,1388.71 1319.32,1388.71 1320.24,1388.71 1321.16,1388.71 1322.08,1388.71 1322.99,1388.71 1323.91,1388.71 \n",
" 1324.83,1388.71 1325.75,1388.71 1326.66,1388.71 1327.58,1388.71 1328.5,1388.71 1329.42,1388.71 1330.34,1388.71 1331.25,1388.71 1332.17,1388.71 1333.09,1388.71 \n",
" 1334.01,1388.71 1334.92,1388.71 1335.84,1388.71 1336.76,1388.71 1337.68,1388.71 1338.6,1388.71 1339.51,1388.71 1340.43,1388.71 1341.35,1388.71 1342.27,1388.71 \n",
" 1343.18,1388.71 1344.1,1388.71 1345.02,1388.71 1345.94,1388.71 1346.86,1388.71 1347.77,1388.71 1348.69,1388.71 1349.61,1388.71 1350.53,1388.71 1351.45,1388.71 \n",
" 1352.36,1388.71 1353.28,1388.71 1354.2,1388.71 1355.12,1388.71 1356.03,1388.71 1356.95,1388.71 1357.87,1388.71 1358.79,1388.71 1359.71,1388.71 1360.62,1388.71 \n",
" 1361.54,1388.71 1362.46,1388.71 1363.38,1388.71 1364.29,1388.71 1365.21,1388.71 1366.13,1388.71 1367.05,1388.71 1367.97,1388.71 1368.88,1388.71 1369.8,1388.71 \n",
" 1370.72,1388.71 1371.64,1388.71 1372.55,1388.71 1373.47,1388.71 1374.39,1388.71 1375.31,1388.71 1376.23,1388.71 1377.14,1388.71 1378.06,1388.71 1378.98,1388.71 \n",
" 1379.9,1388.71 1380.81,1388.71 1381.73,1388.71 1382.65,1388.71 1383.57,1388.71 1384.49,1388.71 1385.4,1388.71 1386.32,1388.71 1387.24,1388.71 1388.16,1388.71 \n",
" 1389.07,1388.71 1389.99,1388.71 1390.91,1388.71 1391.83,1388.71 1392.75,1388.71 1393.66,1388.71 1394.58,1388.71 1395.5,1388.71 1396.42,1388.71 1397.33,1388.71 \n",
" 1398.25,1388.71 1399.17,1388.71 1400.09,1388.71 1401.01,1388.71 1401.92,1388.71 1402.84,1388.71 1403.76,1388.71 1404.68,1388.71 1405.59,1388.71 1406.51,1388.71 \n",
" 1407.43,1388.71 1408.35,1388.71 1409.27,1388.71 1410.18,1388.71 1411.1,1388.71 1412.02,1388.71 1412.94,1388.71 1413.85,1388.71 1414.77,1388.71 1415.69,1388.71 \n",
" 1416.61,1388.71 1417.53,1388.71 1418.44,1388.71 1419.36,1388.71 1420.28,1388.71 1421.2,1388.71 1422.12,1388.71 1423.03,1388.71 1423.95,1388.71 1424.87,1388.71 \n",
" 1425.79,1388.71 1426.7,1388.71 1427.62,1388.71 1428.54,1388.71 1429.46,1388.71 1430.38,1388.71 1431.29,1388.71 1432.21,1388.71 1433.13,1388.71 1434.05,1388.71 \n",
" 1434.96,1388.71 1435.88,1388.71 1436.8,1388.71 1437.72,1388.71 1438.64,1388.71 1439.55,1388.71 1440.47,1388.71 1441.39,1388.71 1442.31,1388.71 1443.22,1388.71 \n",
" 1444.14,1388.71 1445.06,1388.71 1445.98,1388.71 1446.9,1388.71 1447.81,1388.71 1448.73,1388.71 1449.65,1388.71 1450.57,1388.71 1451.48,1388.71 1452.4,1388.71 \n",
" 1453.32,1388.71 1454.24,1388.71 1455.16,1388.71 1456.07,1388.71 1456.99,1388.71 1457.91,1388.71 1458.83,1388.71 1459.74,1388.71 1460.66,1388.71 1461.58,1388.71 \n",
" 1462.5,1388.71 1463.42,1388.71 1464.33,1388.71 1465.25,1388.71 1466.17,1388.71 1467.09,1388.71 1468,1388.71 1468.92,1388.71 1469.84,1388.71 1470.76,1388.71 \n",
" 1471.68,1388.71 1472.59,1388.71 1473.51,1388.71 1474.43,1388.71 1475.35,1388.71 1476.26,1388.71 1477.18,1388.71 1478.1,1388.71 1479.02,1388.71 1479.94,1388.71 \n",
" 1480.85,1388.71 1481.77,1388.71 1482.69,1388.71 1483.61,1388.71 1484.52,1388.71 1485.44,1388.71 1486.36,1388.71 1487.28,1388.71 1488.2,1388.71 1489.11,1388.71 \n",
" 1490.03,1388.71 1490.95,1388.71 1491.87,1388.71 1492.79,1388.71 1493.7,1388.71 1494.62,1388.71 1495.54,1388.71 1496.46,1388.71 1497.37,1388.71 1498.29,1388.71 \n",
" 1499.21,1388.71 1500.13,1388.71 1501.05,1388.71 1501.96,1388.71 1502.88,1388.71 1503.8,1388.71 1504.72,1388.71 1505.63,1388.71 1506.55,1388.71 1507.47,1388.71 \n",
" 1508.39,1388.71 1509.31,1388.71 1510.22,1388.71 1511.14,1388.71 1512.06,1388.71 1512.98,1388.71 1513.89,1388.71 1514.81,1388.71 1515.73,1388.71 1516.65,1388.71 \n",
" 1517.57,1388.71 1518.48,1388.71 1519.4,1388.71 1520.32,1388.71 1521.24,1388.71 1522.15,1388.71 1523.07,1388.71 1523.99,1388.71 1524.91,1388.71 1525.83,1388.71 \n",
" 1526.74,1388.71 1527.66,1388.71 1528.58,1388.71 1529.5,1388.71 1530.41,1388.71 1531.33,1388.71 1532.25,1388.71 1533.17,1388.71 1534.09,1388.71 1535,1388.71 \n",
" 1535.92,1388.71 1536.84,1388.71 1537.76,1388.71 1538.67,1388.71 1539.59,1388.71 1540.51,1388.71 1541.43,1388.71 1542.35,1388.71 1543.26,1388.71 1544.18,1388.71 \n",
" 1545.1,1388.71 1546.02,1388.71 1546.93,1388.71 1547.85,1388.71 1548.77,1388.71 1549.69,1388.71 1550.61,1388.71 1551.52,1388.71 1552.44,1388.71 1553.36,1388.71 \n",
" 1554.28,1388.71 1555.19,1388.71 1556.11,1388.71 1557.03,1388.71 1557.95,1388.71 1558.87,1388.71 1559.78,1388.71 1560.7,1388.71 1561.62,1388.71 1562.54,1388.71 \n",
" 1563.46,1388.71 1564.37,1388.71 1565.29,1388.71 1566.21,1388.71 1567.13,1388.71 1568.04,1388.71 1568.96,1388.71 1569.88,1388.71 1570.8,1388.71 1571.72,1388.71 \n",
" 1572.63,1388.71 1573.55,1388.71 1574.47,1388.71 1575.39,1388.71 1576.3,1388.71 1577.22,1388.71 1578.14,1388.71 1579.06,1388.71 1579.98,1388.71 1580.89,1388.71 \n",
" 1581.81,1388.71 1582.73,1388.71 1583.65,1388.71 1584.56,1388.71 1585.48,1388.71 1586.4,1388.71 1587.32,1388.71 1588.24,1388.71 1589.15,1388.71 1590.07,1388.71 \n",
" 1590.99,1388.71 1591.91,1388.71 1592.82,1388.71 1593.74,1388.71 1594.66,1388.71 1595.58,1388.71 1596.5,1388.71 1597.41,1388.71 1598.33,1388.71 1599.25,1388.71 \n",
" 1600.17,1388.71 1601.08,1388.71 1602,1388.71 1602.92,1388.71 1603.84,1388.71 1604.76,1388.71 1605.67,1388.71 1606.59,1388.71 1607.51,1388.71 1608.43,1388.71 \n",
" 1609.34,1388.71 1610.26,1388.71 1611.18,1388.71 1612.1,1388.71 1613.02,1388.71 1613.93,1388.71 1614.85,1388.71 1615.77,1388.71 1616.69,1388.71 1617.6,1388.71 \n",
" 1618.52,1388.71 1619.44,1388.71 1620.36,1388.71 1621.28,1388.71 1622.19,1388.71 1623.11,1388.71 1624.03,1388.71 1624.95,1388.71 1625.86,1388.71 1626.78,1388.71 \n",
" 1627.7,1388.71 1628.62,1388.71 1629.54,1388.71 1630.45,1388.71 1631.37,1388.71 1632.29,1388.71 1633.21,1388.71 1634.12,1388.71 1635.04,1388.71 1635.96,1388.71 \n",
" 1636.88,1388.71 1637.8,1388.71 1638.71,1388.71 1639.63,1388.71 1640.55,1388.71 1641.47,1388.71 1642.39,1388.71 1643.3,1388.71 1644.22,1388.71 1645.14,1388.71 \n",
" 1646.06,1388.71 1646.97,1388.71 1647.89,1388.71 1648.81,1388.71 1649.73,1388.71 1650.65,1388.71 1651.56,1388.71 1652.48,1388.71 1653.4,1388.71 1654.32,1388.71 \n",
" 1655.23,1388.71 1656.15,1388.71 1657.07,1388.71 1657.99,1388.71 1658.91,1388.71 1659.82,1388.71 1660.74,1388.71 1661.66,1388.71 1662.58,1388.71 1663.49,1388.71 \n",
" 1664.41,1388.71 1665.33,1388.71 1666.25,1388.71 1667.17,1388.71 1668.08,1388.71 1669,1388.71 1669.92,1388.71 1670.84,1388.71 1671.75,1388.71 1672.67,1388.71 \n",
" 1673.59,1388.71 1674.51,1388.71 1675.43,1388.71 1676.34,1388.71 1677.26,1388.71 1678.18,1388.71 1679.1,1388.71 1680.01,1388.71 1680.93,1388.71 1681.85,1388.71 \n",
" 1682.77,1388.71 1683.69,1388.71 1684.6,1388.71 1685.52,1388.71 1686.44,1388.71 1687.36,1388.71 1688.27,1388.71 1689.19,1388.71 1690.11,1388.71 1691.03,1388.71 \n",
" 1691.95,1388.71 1692.86,1388.71 1693.78,1388.71 1694.7,1388.71 1695.62,1388.71 1696.53,1388.71 1697.45,1388.71 1698.37,1388.71 1699.29,1388.71 1700.21,1388.71 \n",
" 1701.12,1388.71 1702.04,1388.71 1702.96,1388.71 1703.88,1388.71 1704.79,1388.71 1705.71,1388.71 1706.63,1388.71 1707.55,1388.71 1708.47,1388.71 1709.38,1388.71 \n",
" 1710.3,1388.71 1711.22,1388.71 1712.14,1388.71 1713.06,1388.71 1713.97,1388.71 1714.89,1388.71 1715.81,1388.71 1716.73,1388.71 1717.64,1388.71 1718.56,1388.71 \n",
" 1719.48,1388.71 1720.4,1388.71 1721.32,1388.71 1722.23,1388.71 1723.15,1388.71 1724.07,1388.71 1724.99,1388.71 1725.9,1388.71 1726.82,1388.71 1727.74,1388.71 \n",
" 1728.66,1388.71 1729.58,1388.71 1730.49,1388.71 1731.41,1388.71 1732.33,1388.71 1733.25,1388.71 1734.16,1388.71 1735.08,1388.71 1736,1388.71 1736.92,1388.71 \n",
" 1737.84,1388.71 1738.75,1388.71 1739.67,1388.71 1740.59,1388.71 1741.51,1388.71 1742.42,1388.71 1743.34,1388.71 1744.26,1388.71 1745.18,1388.71 1746.1,1388.71 \n",
" 1747.01,1388.71 1747.93,1388.71 1748.85,1388.71 1749.77,1388.71 1750.68,1388.71 1751.6,1388.71 1752.52,1388.71 1753.44,1388.71 1754.36,1388.71 1755.27,1388.71 \n",
" 1756.19,1388.71 1757.11,1388.71 1758.03,1388.71 1758.94,1388.71 1759.86,1388.71 1760.78,1388.71 1761.7,1388.71 1762.62,1388.71 1763.53,1388.71 1764.45,1388.71 \n",
" 1765.37,1388.71 1766.29,1388.71 1767.2,1388.71 1768.12,1388.71 1769.04,1388.71 1769.96,1388.71 1770.88,1388.71 1771.79,1388.71 1772.71,1388.71 1773.63,1388.71 \n",
" 1774.55,1388.71 1775.46,1388.71 1776.38,1388.71 1777.3,1388.71 1778.22,1388.71 1779.14,1388.71 1780.05,1388.71 1780.97,1388.71 1781.89,1388.71 1782.81,1388.71 \n",
" 1783.73,1388.71 1784.64,1388.71 1785.56,1388.71 1786.48,1388.71 1787.4,1388.71 1788.31,1388.71 1789.23,1388.71 1790.15,1388.71 1791.07,1388.71 1791.99,1388.71 \n",
" 1792.9,1388.71 1793.82,1388.71 1794.74,1388.71 1795.66,1388.71 1796.57,1388.71 1797.49,1388.71 1798.41,1388.71 1799.33,1388.71 1800.25,1388.71 1801.16,1388.71 \n",
" 1802.08,1388.71 1803,1388.71 1803.92,1388.71 1804.83,1388.71 1805.75,1388.71 1806.67,1388.71 1807.59,1388.71 1808.51,1388.71 1809.42,1388.71 1810.34,1388.71 \n",
" 1811.26,1388.71 1812.18,1388.71 1813.09,1388.71 1814.01,1388.71 1814.93,1388.71 1815.85,1388.71 1816.77,1388.71 1817.68,1388.71 1818.6,1388.71 1819.52,1388.71 \n",
" 1820.44,1388.71 1821.35,1388.71 1822.27,1388.71 1823.19,1388.71 1824.11,1388.71 1825.03,1388.71 1825.94,1388.71 1826.86,1388.71 1827.78,1388.71 1828.7,1388.71 \n",
" 1829.61,1388.71 1830.53,1388.71 1831.45,1388.71 1832.37,1388.71 1833.29,1388.71 1834.2,1388.71 1835.12,1388.71 1836.04,1388.71 1836.96,1388.71 1837.87,1388.71 \n",
" 1838.79,1388.71 1839.71,1388.71 1840.63,1388.71 1841.55,1388.71 1842.46,1388.71 1843.38,1388.71 1844.3,1388.71 1845.22,1388.71 1846.13,1388.71 1847.05,1388.71 \n",
" 1847.97,1388.71 1848.89,1388.71 1849.81,1388.71 1850.72,1388.71 1851.64,1388.71 1852.56,1388.71 1853.48,1388.71 1854.39,1388.71 1855.31,1388.71 1856.23,1388.71 \n",
" 1857.15,1388.71 1858.07,1388.71 1858.98,1388.71 1859.9,1388.71 1860.82,1388.71 1861.74,1388.71 1862.66,1388.71 1863.57,1388.71 1864.49,1388.71 1865.41,1388.71 \n",