diff --git a/doc/source/data/Ni.cif b/doc/source/data/Ni.cif new file mode 100644 index 0000000..cfaa968 --- /dev/null +++ b/doc/source/data/Ni.cif @@ -0,0 +1,216 @@ +data_New_Crystal +_audit_creation_method 'generated by CrystalMaker 9.0.3' +_cell_length_a 3.5200(0) +_cell_length_b 3.5200(0) +_cell_length_c 3.5200(0) +_cell_angle_alpha 90.0000(0) +_cell_angle_beta 90.0000(0) +_cell_angle_gamma 90.0000(0) + +_symmetry_space_group_name_H-M 'F m3m' +_symmetry_Int_Tables_number 225 +_symmetry_cell_setting cubic +loop_ +_symmetry_equiv_pos_as_xyz +'+x,+y,+z' +'+x,1/2+y,1/2+z' +'1/2+x,1/2+y,+z' +'1/2+x,+y,1/2+z' +'+z,+x,+y' +'+z,1/2+x,1/2+y' +'1/2+z,1/2+x,+y' +'1/2+z,+x,1/2+y' +'+y,+z,+x' +'+y,1/2+z,1/2+x' +'1/2+y,1/2+z,+x' +'1/2+y,+z,1/2+x' +'+x,+y,-z' +'+x,1/2+y,1/2-z' +'1/2+x,1/2+y,-z' +'1/2+x,+y,1/2-z' +'+z,+x,-y' +'+z,1/2+x,1/2-y' +'1/2+z,1/2+x,-y' +'1/2+z,+x,1/2-y' +'+y,+z,-x' +'+y,1/2+z,1/2-x' +'1/2+y,1/2+z,-x' +'1/2+y,+z,1/2-x' +'-x,+y,+z' +'-x,1/2+y,1/2+z' +'1/2-x,1/2+y,+z' +'1/2-x,+y,1/2+z' +'-z,+x,+y' +'-z,1/2+x,1/2+y' +'1/2-z,1/2+x,+y' +'1/2-z,+x,1/2+y' +'-y,+z,+x' +'-y,1/2+z,1/2+x' +'1/2-y,1/2+z,+x' +'1/2-y,+z,1/2+x' +'-x,+y,-z' +'-x,1/2+y,1/2-z' +'1/2-x,1/2+y,-z' +'1/2-x,+y,1/2-z' +'-z,+x,-y' +'-z,1/2+x,1/2-y' +'1/2-z,1/2+x,-y' +'1/2-z,+x,1/2-y' +'-y,+z,-x' +'-y,1/2+z,1/2-x' +'1/2-y,1/2+z,-x' +'1/2-y,+z,1/2-x' +'+y,+x,+z' +'+y,1/2+x,1/2+z' +'1/2+y,1/2+x,+z' +'1/2+y,+x,1/2+z' +'+x,+z,+y' +'+x,1/2+z,1/2+y' +'1/2+x,1/2+z,+y' +'1/2+x,+z,1/2+y' +'+z,+y,+x' +'+z,1/2+y,1/2+x' +'1/2+z,1/2+y,+x' +'1/2+z,+y,1/2+x' +'+y,+x,-z' +'+y,1/2+x,1/2-z' +'1/2+y,1/2+x,-z' +'1/2+y,+x,1/2-z' +'+x,+z,-y' +'+x,1/2+z,1/2-y' +'1/2+x,1/2+z,-y' +'1/2+x,+z,1/2-y' +'+z,+y,-x' +'+z,1/2+y,1/2-x' +'1/2+z,1/2+y,-x' +'1/2+z,+y,1/2-x' +'+y,-x,+z' +'+y,1/2-x,1/2+z' +'1/2+y,1/2-x,+z' +'1/2+y,-x,1/2+z' +'+x,-z,+y' +'+x,1/2-z,1/2+y' +'1/2+x,1/2-z,+y' +'1/2+x,-z,1/2+y' +'+z,-y,+x' +'+z,1/2-y,1/2+x' +'1/2+z,1/2-y,+x' +'1/2+z,-y,1/2+x' +'+y,-x,-z' +'+y,1/2-x,1/2-z' +'1/2+y,1/2-x,-z' +'1/2+y,-x,1/2-z' +'+x,-z,-y' +'+x,1/2-z,1/2-y' +'1/2+x,1/2-z,-y' +'1/2+x,-z,1/2-y' +'+z,-y,-x' +'+z,1/2-y,1/2-x' +'1/2+z,1/2-y,-x' +'1/2+z,-y,1/2-x' +'-x,-y,-z' +'-x,1/2-y,1/2-z' +'1/2-x,1/2-y,-z' +'1/2-x,-y,1/2-z' +'-z,-x,-y' +'-z,1/2-x,1/2-y' +'1/2-z,1/2-x,-y' +'1/2-z,-x,1/2-y' +'-y,-z,-x' +'-y,1/2-z,1/2-x' +'1/2-y,1/2-z,-x' +'1/2-y,-z,1/2-x' +'-x,-y,+z' +'-x,1/2-y,1/2+z' +'1/2-x,1/2-y,+z' +'1/2-x,-y,1/2+z' +'-z,-x,+y' +'-z,1/2-x,1/2+y' +'1/2-z,1/2-x,+y' +'1/2-z,-x,1/2+y' +'-y,-z,+x' +'-y,1/2-z,1/2+x' +'1/2-y,1/2-z,+x' +'1/2-y,-z,1/2+x' +'+x,-y,-z' +'+x,1/2-y,1/2-z' +'1/2+x,1/2-y,-z' +'1/2+x,-y,1/2-z' +'+z,-x,-y' +'+z,1/2-x,1/2-y' +'1/2+z,1/2-x,-y' +'1/2+z,-x,1/2-y' +'+y,-z,-x' +'+y,1/2-z,1/2-x' +'1/2+y,1/2-z,-x' +'1/2+y,-z,1/2-x' +'+x,-y,+z' +'+x,1/2-y,1/2+z' +'1/2+x,1/2-y,+z' +'1/2+x,-y,1/2+z' +'+z,-x,+y' +'+z,1/2-x,1/2+y' +'1/2+z,1/2-x,+y' +'1/2+z,-x,1/2+y' +'+y,-z,+x' +'+y,1/2-z,1/2+x' +'1/2+y,1/2-z,+x' +'1/2+y,-z,1/2+x' +'-y,-x,-z' +'-y,1/2-x,1/2-z' +'1/2-y,1/2-x,-z' +'1/2-y,-x,1/2-z' +'-x,-z,-y' +'-x,1/2-z,1/2-y' +'1/2-x,1/2-z,-y' +'1/2-x,-z,1/2-y' +'-z,-y,-x' +'-z,1/2-y,1/2-x' +'1/2-z,1/2-y,-x' +'1/2-z,-y,1/2-x' +'-y,-x,+z' +'-y,1/2-x,1/2+z' +'1/2-y,1/2-x,+z' +'1/2-y,-x,1/2+z' +'-x,-z,+y' +'-x,1/2-z,1/2+y' +'1/2-x,1/2-z,+y' +'1/2-x,-z,1/2+y' +'-z,-y,+x' +'-z,1/2-y,1/2+x' +'1/2-z,1/2-y,+x' +'1/2-z,-y,1/2+x' +'-y,+x,-z' +'-y,1/2+x,1/2-z' +'1/2-y,1/2+x,-z' +'1/2-y,+x,1/2-z' +'-x,+z,-y' +'-x,1/2+z,1/2-y' +'1/2-x,1/2+z,-y' +'1/2-x,+z,1/2-y' +'-z,+y,-x' +'-z,1/2+y,1/2-x' +'1/2-z,1/2+y,-x' +'1/2-z,+y,1/2-x' +'-y,+x,+z' +'-y,1/2+x,1/2+z' +'1/2-y,1/2+x,+z' +'1/2-y,+x,1/2+z' +'-x,+z,+y' +'-x,1/2+z,1/2+y' +'1/2-x,1/2+z,+y' +'1/2-x,+z,1/2+y' +'-z,+y,+x' +'-z,1/2+y,1/2+x' +'1/2-z,1/2+y,+x' +'1/2-z,+y,1/2+x' + +loop_ +_atom_site_label +_atom_site_type_symbol +_atom_site_fract_x +_atom_site_fract_y +_atom_site_fract_z +_atom_site_B_iso_or_equiv +_atom_site_occupancy + Ni1 Ni 0.0000 0.0000 0.0000 0.1 1.0 diff --git a/doc/source/data/Ni.gr b/doc/source/data/Ni.gr new file mode 100644 index 0000000..a1565fc --- /dev/null +++ b/doc/source/data/Ni.gr @@ -0,0 +1,6022 @@ +# xPDFsuite Configuration # +[PDF] +wavelength = 0.1836 +dataformat = Qnm +inputfile = Ni.chi +backgroundfile = +mode = xray +bgscale = 1.0 +composition = Ni +outputtype = gr +qmaxinst = 25.0 +qmin = 0.5 +qmax = 25.0 +rmax = 60.0 +rmin = 0.0 +rstep = 0.01 +rpoly = 0.9 + +#### start data +#S 1 +#L r($\AA$) G($\AA^{-2}$) +0 0 +0.01 -0.000497956 +0.02 -0.000963367 +0.03 -0.00136826 +0.04 -0.0016883 +0.05 -0.00190424 +0.06 -0.00200301 +0.07 -0.0019785 +0.08 -0.00183191 +0.09 -0.00157013 +0.1 -0.00120451 +0.11 -0.000765717 +0.12 -0.000279977 +0.13 0.000223969 +0.14 0.000716587 +0.15 0.00116932 +0.16 0.00155625 +0.17 0.00185559 +0.18 0.00204722 +0.19 0.00211684 +0.2 0.00206813 +0.21 0.00190414 +0.22 0.00163274 +0.23 0.00126516 +0.24 0.000814111 +0.25 0.000291589 +0.26 -0.00029348 +0.27 -0.000940567 +0.28 -0.00165528 +0.29 -0.00245064 +0.3 -0.00335283 +0.31 -0.00439854 +0.32 -0.00563399 +0.33 -0.00711292 +0.34 -0.00889334 +0.35 -0.0110333 +0.36 -0.0136142 +0.37 -0.0166653 +0.38 -0.0201915 +0.39 -0.0241829 +0.4 -0.0285954 +0.41 -0.0333445 +0.42 -0.0383002 +0.43 -0.0432836 +0.44 -0.0480648 +0.45 -0.0522996 +0.46 -0.0556565 +0.47 -0.0577668 +0.48 -0.0582263 +0.49 -0.0566146 +0.5 -0.0525102 +0.51 -0.0455077 +0.52 -0.0352366 +0.53 -0.0213724 +0.54 -0.00332425 +0.55 0.0187032 +0.56 0.0447171 +0.57 0.0745951 +0.58 0.108075 +0.59 0.14475 +0.6 0.184067 +0.61 0.225331 +0.62 0.26772 +0.63 0.310199 +0.64 0.35165 +0.65 0.390971 +0.66 0.427043 +0.67 0.458757 +0.68 0.485059 +0.69 0.504986 +0.7 0.517701 +0.71 0.522245 +0.72 0.517905 +0.73 0.504938 +0.74 0.483378 +0.75 0.453504 +0.76 0.415845 +0.77 0.371166 +0.78 0.320449 +0.79 0.264868 +0.8 0.205652 +0.81 0.144454 +0.82 0.0829324 +0.83 0.0226016 +0.84 -0.0350753 +0.85 -0.088739 +0.86 -0.137181 +0.87 -0.17939 +0.88 -0.214582 +0.89 -0.241725 +0.9 -0.260882 +0.91 -0.272364 +0.92 -0.276555 +0.93 -0.274102 +0.94 -0.265883 +0.95 -0.252975 +0.96 -0.236603 +0.97 -0.218096 +0.98 -0.198877 +0.99 -0.180474 +1 -0.164164 +1.01 -0.151087 +1.02 -0.142204 +1.03 -0.138263 +1.04 -0.139767 +1.05 -0.14696 +1.06 -0.159844 +1.07 -0.178527 +1.08 -0.20193 +1.09 -0.229259 +1.1 -0.259548 +1.11 -0.291708 +1.12 -0.324575 +1.13 -0.356963 +1.14 -0.38772 +1.15 -0.415706 +1.16 -0.43972 +1.17 -0.459257 +1.18 -0.473822 +1.19 -0.483157 +1.2 -0.48725 +1.21 -0.486335 +1.22 -0.480876 +1.23 -0.471549 +1.24 -0.459135 +1.25 -0.444714 +1.26 -0.429539 +1.27 -0.41473 +1.28 -0.401381 +1.29 -0.39051 +1.3 -0.383012 +1.31 -0.37962 +1.32 -0.380871 +1.33 -0.387346 +1.34 -0.399048 +1.35 -0.415568 +1.36 -0.436475 +1.37 -0.461135 +1.38 -0.48874 +1.39 -0.518352 +1.4 -0.548938 +1.41 -0.579429 +1.42 -0.608612 +1.43 -0.635447 +1.44 -0.6591 +1.45 -0.678862 +1.46 -0.694217 +1.47 -0.70486 +1.48 -0.710714 +1.49 -0.711934 +1.5 -0.708894 +1.51 -0.701933 +1.52 -0.69217 +1.53 -0.680561 +1.54 -0.668111 +1.55 -0.655862 +1.56 -0.644845 +1.57 -0.636023 +1.58 -0.63025 +1.59 -0.628257 +1.6 -0.630918 +1.61 -0.638149 +1.62 -0.649961 +1.63 -0.666128 +1.64 -0.686201 +1.65 -0.70952 +1.66 -0.735253 +1.67 -0.762427 +1.68 -0.789962 +1.69 -0.816601 +1.7 -0.841254 +1.71 -0.862927 +1.72 -0.880757 +1.73 -0.894063 +1.74 -0.902377 +1.75 -0.905474 +1.76 -0.903389 +1.77 -0.896252 +1.78 -0.884647 +1.79 -0.869669 +1.8 -0.852339 +1.81 -0.833825 +1.82 -0.815378 +1.83 -0.798279 +1.84 -0.783771 +1.85 -0.772998 +1.86 -0.767245 +1.87 -0.767258 +1.88 -0.773295 +1.89 -0.785498 +1.9 -0.80369 +1.91 -0.827379 +1.92 -0.85577 +1.93 -0.887798 +1.94 -0.92217 +1.95 -0.957378 +1.96 -0.991667 +1.97 -1.02346 +1.98 -1.05128 +1.99 -1.07382 +2 -1.09002 +2.01 -1.09912 +2.02 -1.10076 +2.03 -1.09493 +2.04 -1.08157 +2.05 -1.06223 +2.06 -1.03829 +2.07 -1.01142 +2.08 -0.983522 +2.09 -0.956668 +2.1 -0.932953 +2.11 -0.914387 +2.12 -0.902839 +2.13 -0.900459 +2.14 -0.90747 +2.15 -0.924067 +2.16 -0.949727 +2.17 -0.983142 +2.18 -1.02218 +2.19 -1.06388 +2.2 -1.1045 +2.21 -1.13928 +2.22 -1.16208 +2.23 -1.16767 +2.24 -1.15018 +2.25 -1.1037 +2.26 -1.02251 +2.27 -0.901327 +2.28 -0.735538 +2.29 -0.521425 +2.3 -0.254245 +2.31 0.0678304 +2.32 0.441659 +2.33 0.865151 +2.34 1.3346 +2.35 1.84467 +2.36 2.38849 +2.37 2.95777 +2.38 3.54294 +2.39 4.13307 +2.4 4.71536 +2.41 5.27782 +2.42 5.80862 +2.43 6.2962 +2.44 6.7297 +2.45 7.09923 +2.46 7.3962 +2.47 7.61359 +2.48 7.73974 +2.49 7.77584 +2.5 7.72285 +2.51 7.58212 +2.52 7.35706 +2.53 7.05305 +2.54 6.6772 +2.55 6.23821 +2.56 5.74602 +2.57 5.20886 +2.58 4.6428 +2.59 4.05984 +2.6 3.47163 +2.61 2.88933 +2.62 2.3233 +2.63 1.78283 +2.64 1.27592 +2.65 0.809631 +2.66 0.392363 +2.67 0.0237537 +2.68 -0.29486 +2.69 -0.563678 +2.7 -0.784307 +2.71 -0.959595 +2.72 -1.09342 +2.73 -1.19049 +2.74 -1.25534 +2.75 -1.29322 +2.76 -1.31176 +2.77 -1.31638 +2.78 -1.31211 +2.79 -1.30343 +2.8 -1.29412 +2.81 -1.28723 +2.82 -1.28498 +2.83 -1.28908 +2.84 -1.30022 +2.85 -1.3179 +2.86 -1.34136 +2.87 -1.36938 +2.88 -1.40043 +2.89 -1.43278 +2.9 -1.46466 +2.91 -1.4944 +2.92 -1.52019 +2.93 -1.54081 +2.94 -1.55557 +2.95 -1.56407 +2.96 -1.56627 +2.97 -1.56254 +2.98 -1.55357 +2.99 -1.54033 +3 -1.52403 +3.01 -1.50594 +3.02 -1.4877 +3.03 -1.47064 +3.04 -1.45598 +3.05 -1.44472 +3.06 -1.43765 +3.07 -1.43527 +3.08 -1.43781 +3.09 -1.44519 +3.1 -1.45745 +3.11 -1.4735 +3.12 -1.49254 +3.13 -1.51359 +3.14 -1.53561 +3.15 -1.55752 +3.16 -1.57826 +3.17 -1.59681 +3.18 -1.61222 +3.19 -1.62335 +3.2 -1.62982 +3.21 -1.63112 +3.22 -1.62685 +3.23 -1.6167 +3.24 -1.60044 +3.25 -1.57788 +3.26 -1.54884 +3.27 -1.5129 +3.28 -1.46959 +3.29 -1.41901 +3.3 -1.36084 +3.31 -1.2947 +3.32 -1.22019 +3.33 -1.13694 +3.34 -1.04463 +3.35 -0.943077 +3.36 -0.831813 +3.37 -0.711066 +3.38 -0.581781 +3.39 -0.444787 +3.4 -0.301259 +3.41 -0.152727 +3.42 -0.00107986 +3.43 0.151461 +3.44 0.302374 +3.45 0.448447 +3.46 0.586549 +3.47 0.713817 +3.48 0.82728 +3.49 0.924118 +3.5 1.00176 +3.51 1.05797 +3.52 1.09097 +3.53 1.09949 +3.54 1.08087 +3.55 1.03668 +3.56 0.967993 +3.57 0.876091 +3.58 0.762847 +3.59 0.630637 +3.6 0.482269 +3.61 0.320884 +3.62 0.149845 +3.63 -0.0276061 +3.64 -0.207184 +3.65 -0.385584 +3.66 -0.559751 +3.67 -0.726966 +3.68 -0.884918 +3.69 -1.03175 +3.7 -1.16611 +3.71 -1.28687 +3.72 -1.39285 +3.73 -1.48521 +3.74 -1.56449 +3.75 -1.63152 +3.76 -1.68739 +3.77 -1.73335 +3.78 -1.77075 +3.79 -1.80094 +3.8 -1.82507 +3.81 -1.84436 +3.82 -1.8602 +3.83 -1.87344 +3.84 -1.8848 +3.85 -1.8948 +3.86 -1.90384 +3.87 -1.91217 +3.88 -1.91994 +3.89 -1.92722 +3.9 -1.93406 +3.91 -1.94049 +3.92 -1.94652 +3.93 -1.95212 +3.94 -1.95726 +3.95 -1.96182 +3.96 -1.96559 +3.97 -1.96822 +3.98 -1.96898 +3.99 -1.96698 +4 -1.96105 +4.01 -1.94962 +4.02 -1.93071 +4.03 -1.90192 +4.04 -1.8605 +4.05 -1.80332 +4.06 -1.72695 +4.07 -1.62567 +4.08 -1.49698 +4.09 -1.3376 +4.1 -1.14419 +4.11 -0.913878 +4.12 -0.644398 +4.13 -0.334272 +4.14 0.0170227 +4.15 0.409033 +4.16 0.84306 +4.17 1.31213 +4.18 1.81158 +4.19 2.33546 +4.2 2.87661 +4.21 3.42679 +4.22 3.97685 +4.23 4.51697 +4.24 5.03626 +4.25 5.52152 +4.26 5.96415 +4.27 6.35448 +4.28 6.68367 +4.29 6.94404 +4.3 7.12923 +4.31 7.23451 +4.32 7.25691 +4.33 7.19244 +4.34 7.04032 +4.35 6.80856 +4.36 6.50215 +4.37 6.1277 +4.38 5.69331 +4.39 5.20825 +4.4 4.68272 +4.41 4.12752 +4.42 3.55339 +4.43 2.97281 +4.44 2.39701 +4.45 1.83577 +4.46 1.29786 +4.47 0.790855 +4.48 0.320938 +4.49 -0.107167 +4.5 -0.49027 +4.51 -0.823608 +4.52 -1.10901 +4.53 -1.34915 +4.54 -1.54662 +4.55 -1.70496 +4.56 -1.82845 +4.57 -1.92188 +4.58 -1.9903 +4.59 -2.03879 +4.6 -2.07139 +4.61 -2.094 +4.62 -2.11059 +4.63 -2.12426 +4.64 -2.13733 +4.65 -2.15126 +4.66 -2.16672 +4.67 -2.18352 +4.68 -2.20078 +4.69 -2.21664 +4.7 -2.22893 +4.71 -2.23511 +4.72 -2.23247 +4.73 -2.21825 +4.74 -2.18978 +4.75 -2.1446 +4.76 -2.08066 +4.77 -1.99587 +4.78 -1.88805 +4.79 -1.75834 +4.8 -1.6071 +4.81 -1.43531 +4.82 -1.24461 +4.83 -1.03725 +4.84 -0.816019 +4.85 -0.584182 +4.86 -0.345306 +4.87 -0.103802 +4.88 0.135774 +4.89 0.369149 +4.9 0.592084 +4.91 0.800467 +4.92 0.990416 +4.93 1.15836 +4.94 1.30111 +4.95 1.41438 +4.96 1.49614 +4.97 1.54603 +4.98 1.56316 +4.99 1.54728 +5 1.49877 +5.01 1.4186 +5.02 1.30836 +5.03 1.17018 +5.04 1.00516 +5.05 0.817851 +5.06 0.612352 +5.07 0.392403 +5.08 0.161907 +5.09 -0.0751693 +5.1 -0.314891 +5.11 -0.55345 +5.12 -0.787256 +5.13 -1.01209 +5.14 -1.22546 +5.15 -1.42504 +5.16 -1.60891 +5.17 -1.77564 +5.18 -1.92426 +5.19 -2.05429 +5.2 -2.16563 +5.21 -2.25842 +5.22 -2.33191 +5.23 -2.38843 +5.24 -2.42882 +5.25 -2.45391 +5.26 -2.4644 +5.27 -2.46081 +5.28 -2.44338 +5.29 -2.41204 +5.3 -2.36603 +5.31 -2.30376 +5.32 -2.22504 +5.33 -2.12845 +5.34 -2.01235 +5.35 -1.87503 +5.36 -1.7148 +5.37 -1.53013 +5.38 -1.31981 +5.39 -1.08201 +5.4 -0.816202 +5.41 -0.524455 +5.42 -0.208237 +5.43 0.130115 +5.44 0.487367 +5.45 0.859392 +5.46 1.24122 +5.47 1.62712 +5.48 2.01021 +5.49 2.38281 +5.5 2.73786 +5.51 3.06813 +5.52 3.36656 +5.53 3.62652 +5.54 3.84199 +5.55 4.00778 +5.56 4.11972 +5.57 4.17064 +5.58 4.16161 +5.59 4.09378 +5.6 3.96842 +5.61 3.78811 +5.62 3.5567 +5.63 3.27914 +5.64 2.96132 +5.65 2.60992 +5.66 2.23055 +5.67 1.8335 +5.68 1.42656 +5.69 1.01712 +5.7 0.612208 +5.71 0.218242 +5.72 -0.159087 +5.73 -0.514944 +5.74 -0.845144 +5.75 -1.14451 +5.76 -1.41345 +5.77 -1.65113 +5.78 -1.85756 +5.79 -2.03344 +5.8 -2.18011 +5.81 -2.29933 +5.82 -2.3932 +5.83 -2.46343 +5.84 -2.51171 +5.85 -2.54176 +5.86 -2.55556 +5.87 -2.55487 +5.88 -2.54114 +5.89 -2.51554 +5.9 -2.47897 +5.91 -2.43207 +5.92 -2.37493 +5.93 -2.30788 +5.94 -2.23175 +5.95 -2.14698 +5.96 -2.05413 +5.97 -1.95398 +5.98 -1.84756 +5.99 -1.73621 +6 -1.62154 +6.01 -1.5055 +6.02 -1.39056 +6.03 -1.27914 +6.04 -1.17372 +6.05 -1.07681 +6.06 -0.990859 +6.07 -0.918143 +6.08 -0.860692 +6.09 -0.820204 +6.1 -0.799382 +6.11 -0.798102 +6.12 -0.816264 +6.13 -0.853619 +6.14 -0.909433 +6.15 -0.982508 +6.16 -1.07123 +6.17 -1.17362 +6.18 -1.28739 +6.19 -1.41058 +6.2 -1.53951 +6.21 -1.67132 +6.22 -1.80318 +6.23 -1.93222 +6.24 -2.05559 +6.25 -2.17051 +6.26 -2.27419 +6.27 -2.36368 +6.28 -2.43486 +6.29 -2.48611 +6.3 -2.51465 +6.31 -2.51766 +6.32 -2.49226 +6.33 -2.43554 +6.34 -2.3446 +6.35 -2.21661 +6.36 -2.04766 +6.37 -1.83351 +6.38 -1.57472 +6.39 -1.26978 +6.4 -0.917849 +6.41 -0.518873 +6.42 -0.0737468 +6.43 0.415574 +6.44 0.945974 +6.45 1.51446 +6.46 2.1147 +6.47 2.73779 +6.48 3.3754 +6.49 4.01816 +6.5 4.6558 +6.51 5.2774 +6.52 5.8716 +6.53 6.42694 +6.54 6.92847 +6.55 7.36568 +6.56 7.73057 +6.57 8.0147 +6.58 8.21113 +6.59 8.3147 +6.6 8.3222 +6.61 8.23252 +6.62 8.04669 +6.63 7.76132 +6.64 7.38795 +6.65 6.93584 +6.66 6.41434 +6.67 5.83423 +6.68 5.20739 +6.69 4.54642 +6.7 3.86429 +6.71 3.17397 +6.72 2.48952 +6.73 1.82314 +6.74 1.18531 +6.75 0.585146 +6.76 0.0301897 +6.77 -0.473732 +6.78 -0.922568 +6.79 -1.31404 +6.8 -1.64677 +6.81 -1.91846 +6.82 -2.13639 +6.83 -2.30447 +6.84 -2.42752 +6.85 -2.51099 +6.86 -2.5607 +6.87 -2.5826 +6.88 -2.58249 +6.89 -2.56553 +6.9 -2.53682 +6.91 -2.5015 +6.92 -2.46303 +6.93 -2.42408 +6.94 -2.38658 +6.95 -2.35179 +6.96 -2.32036 +6.97 -2.29243 +6.98 -2.26793 +6.99 -2.24637 +7 -2.22708 +7.01 -2.20959 +7.02 -2.1936 +7.03 -2.17904 +7.04 -2.16611 +7.05 -2.1553 +7.06 -2.14736 +7.07 -2.14354 +7.08 -2.14494 +7.09 -2.15254 +7.1 -2.16733 +7.11 -2.19005 +7.12 -2.2211 +7.13 -2.2604 +7.14 -2.30732 +7.15 -2.36061 +7.16 -2.41849 +7.17 -2.47779 +7.18 -2.53512 +7.19 -2.58663 +7.2 -2.62803 +7.21 -2.65478 +7.22 -2.66221 +7.23 -2.64574 +7.24 -2.60098 +7.25 -2.52085 +7.26 -2.4049 +7.27 -2.25086 +7.28 -2.05747 +7.29 -1.82451 +7.3 -1.55292 +7.31 -1.2448 +7.32 -0.903396 +7.33 -0.532685 +7.34 -0.137314 +7.35 0.274162 +7.36 0.694636 +7.37 1.11652 +7.38 1.53194 +7.39 1.93296 +7.4 2.3118 +7.41 2.66101 +7.42 2.97232 +7.43 3.23781 +7.44 3.45467 +7.45 3.61892 +7.46 3.72768 +7.47 3.77925 +7.48 3.77314 +7.49 3.71003 +7.5 3.59178 +7.51 3.419 +7.52 3.19646 +7.53 2.93146 +7.54 2.62976 +7.55 2.2977 +7.56 1.9421 +7.57 1.57006 +7.58 1.18889 +7.59 0.805881 +7.6 0.429034 +7.61 0.0657826 +7.62 -0.277587 +7.63 -0.59513 +7.64 -0.881522 +7.65 -1.13215 +7.66 -1.34318 +7.67 -1.51164 +7.68 -1.63547 +7.69 -1.70984 +7.7 -1.73786 +7.71 -1.7211 +7.72 -1.66157 +7.73 -1.56216 +7.74 -1.42662 +7.75 -1.25952 +7.76 -1.06609 +7.77 -0.852107 +7.78 -0.623278 +7.79 -0.387977 +7.8 -0.152968 +7.81 0.0750366 +7.82 0.289536 +7.83 0.484409 +7.84 0.654075 +7.85 0.79364 +7.86 0.898304 +7.87 0.962703 +7.88 0.987507 +7.89 0.971944 +7.9 0.916357 +7.91 0.822197 +7.92 0.691977 +7.93 0.529202 +7.94 0.338267 +7.95 0.123735 +7.96 -0.108275 +7.97 -0.350204 +7.98 -0.59556 +7.99 -0.837821 +8 -1.07063 +8.01 -1.28795 +8.02 -1.48425 +8.03 -1.65466 +8.04 -1.79335 +8.05 -1.8971 +8.06 -1.96509 +8.07 -1.99623 +8.08 -1.99042 +8.09 -1.94854 +8.1 -1.87236 +8.11 -1.76454 +8.12 -1.62846 +8.13 -1.46685 +8.14 -1.2858 +8.15 -1.09096 +8.16 -0.887554 +8.17 -0.680936 +8.18 -0.476404 +8.19 -0.279102 +8.2 -0.093904 +8.21 0.0746902 +8.22 0.220648 +8.23 0.341757 +8.24 0.435477 +8.25 0.499718 +8.26 0.533084 +8.27 0.534889 +8.28 0.505169 +8.29 0.444673 +8.3 0.354688 +8.31 0.235407 +8.32 0.0922319 +8.33 -0.0713815 +8.34 -0.251477 +8.35 -0.443673 +8.36 -0.64325 +8.37 -0.845246 +8.38 -1.04457 +8.39 -1.23581 +8.4 -1.41282 +8.41 -1.57149 +8.42 -1.70751 +8.43 -1.81708 +8.44 -1.89703 +8.45 -1.94495 +8.46 -1.95924 +8.47 -1.93925 +8.48 -1.88402 +8.49 -1.79456 +8.5 -1.67519 +8.51 -1.52935 +8.52 -1.3613 +8.53 -1.17606 +8.54 -0.979258 +8.55 -0.776963 +8.56 -0.575492 +8.57 -0.381937 +8.58 -0.20307 +8.59 -0.0442459 +8.6 0.0895454 +8.61 0.194186 +8.62 0.266612 +8.63 0.304963 +8.64 0.308696 +8.65 0.278662 +8.66 0.215216 +8.67 0.124035 +8.68 0.0111315 +8.69 -0.117047 +8.7 -0.253067 +8.71 -0.38873 +8.72 -0.515325 +8.73 -0.623901 +8.74 -0.705572 +8.75 -0.748135 +8.76 -0.745952 +8.77 -0.692664 +8.78 -0.582919 +8.79 -0.412861 +8.8 -0.180311 +8.81 0.115113 +8.82 0.471919 +8.83 0.887157 +8.84 1.35893 +8.85 1.87505 +8.86 2.42666 +8.87 3.00356 +8.88 3.59451 +8.89 4.1875 +8.9 4.7701 +8.91 5.32976 +8.92 5.853 +8.93 6.32477 +8.94 6.73694 +8.95 7.08009 +8.96 7.34623 +8.97 7.52906 +8.98 7.62406 +8.99 7.62864 +9 7.54212 +9.01 7.36234 +9.02 7.09192 +9.03 6.74086 +9.04 6.31597 +9.05 5.82542 +9.06 5.27846 +9.07 4.68518 +9.08 4.05624 +9.09 3.40259 +9.1 2.73504 +9.11 2.0657 +9.12 1.40505 +9.13 0.762296 +9.14 0.145684 +9.15 -0.437683 +9.16 -0.981944 +9.17 -1.48255 +9.18 -1.9363 +9.19 -2.33781 +9.2 -2.68907 +9.21 -2.99198 +9.22 -3.24844 +9.23 -3.46125 +9.24 -3.63391 +9.25 -3.77047 +9.26 -3.87529 +9.27 -3.95287 +9.28 -4.00604 +9.29 -4.04116 +9.3 -4.06204 +9.31 -4.07179 +9.32 -4.07286 +9.33 -4.06693 +9.34 -4.05491 +9.35 -4.03691 +9.36 -4.01216 +9.37 -3.97852 +9.38 -3.93442 +9.39 -3.87727 +9.4 -3.80417 +9.41 -3.71204 +9.42 -3.59784 +9.43 -3.4587 +9.44 -3.29211 +9.45 -3.09528 +9.46 -2.86561 +9.47 -2.60475 +9.48 -2.3133 +9.49 -1.99282 +9.5 -1.64587 +9.51 -1.27601 +9.52 -0.887723 +9.53 -0.486338 +9.54 -0.077928 +9.55 0.329972 +9.56 0.72991 +9.57 1.11458 +9.58 1.47669 +9.59 1.80924 +9.6 2.10563 +9.61 2.35994 +9.62 2.56707 +9.63 2.71975 +9.64 2.81602 +9.65 2.85616 +9.66 2.83994 +9.67 2.7684 +9.68 2.64383 +9.69 2.46969 +9.7 2.25051 +9.71 1.99174 +9.72 1.69765 +9.73 1.37756 +9.74 1.03928 +9.75 0.690114 +9.76 0.337239 +9.77 -0.0124705 +9.78 -0.35264 +9.79 -0.677553 +9.8 -0.982296 +9.81 -1.26042 +9.82 -1.51092 +9.83 -1.73208 +9.84 -1.92313 +9.85 -2.08425 +9.86 -2.2165 +9.87 -2.32173 +9.88 -2.40242 +9.89 -2.46129 +9.9 -2.50077 +9.91 -2.52599 +9.92 -2.54035 +9.93 -2.547 +9.94 -2.54873 +9.95 -2.54785 +9.96 -2.54606 +9.97 -2.54439 +9.98 -2.54315 +9.99 -2.54181 +10 -2.53909 +10.01 -2.53312 +10.02 -2.52148 +10.03 -2.50136 +10.04 -2.46968 +10.05 -2.42325 +10.06 -2.3589 +10.07 -2.27266 +10.08 -2.16165 +10.09 -2.02501 +10.1 -1.86157 +10.11 -1.67099 +10.12 -1.45381 +10.13 -1.21152 +10.14 -0.946545 +10.15 -0.662259 +10.16 -0.362306 +10.17 -0.0527748 +10.18 0.260078 +10.19 0.57002 +10.2 0.870564 +10.21 1.15516 +10.22 1.41743 +10.23 1.65135 +10.24 1.85146 +10.25 2.00987 +10.26 2.12496 +10.27 2.19498 +10.28 2.21874 +10.29 2.19635 +10.3 2.12918 +10.31 2.01985 +10.32 1.87217 +10.33 1.69099 +10.34 1.48013 +10.35 1.24916 +10.36 1.00513 +10.37 0.755249 +10.38 0.506676 +10.39 0.266257 +10.4 0.040301 +10.41 -0.165636 +10.42 -0.346499 +10.43 -0.496762 +10.44 -0.61631 +10.45 -0.704313 +10.46 -0.761171 +10.47 -0.788447 +10.48 -0.788759 +10.49 -0.765617 +10.5 -0.723232 +10.51 -0.666002 +10.52 -0.599113 +10.53 -0.528254 +10.54 -0.457916 +10.55 -0.392007 +10.56 -0.333646 +10.57 -0.284995 +10.58 -0.247134 +10.59 -0.219988 +10.6 -0.202639 +10.61 -0.192261 +10.62 -0.184814 +10.63 -0.175856 +10.64 -0.160338 +10.65 -0.13285 +10.66 -0.0879024 +10.67 -0.0202152 +10.68 0.0749905 +10.69 0.203874 +10.7 0.368501 +10.71 0.569294 +10.72 0.806171 +10.73 1.0775 +10.74 1.38006 +10.75 1.7091 +10.76 2.05844 +10.77 2.42064 +10.78 2.78682 +10.79 3.14658 +10.8 3.49019 +10.81 3.80799 +10.82 4.09069 +10.83 4.32973 +10.84 4.5176 +10.85 4.64813 +10.86 4.71659 +10.87 4.71431 +10.88 4.64643 +10.89 4.51435 +10.9 4.32129 +10.91 4.07221 +10.92 3.7736 +10.93 3.43322 +10.94 3.0598 +10.95 2.6625 +10.96 2.25121 +10.97 1.83715 +10.98 1.42938 +10.99 1.03616 +11 0.664703 +11.01 0.320951 +11.02 0.00943022 +11.03 -0.266827 +11.04 -0.505069 +11.05 -0.704434 +11.06 -0.86865 +11.07 -1.00037 +11.08 -1.10311 +11.09 -1.18102 +11.1 -1.23857 +11.11 -1.28031 +11.12 -1.31056 +11.13 -1.333 +11.14 -1.3512 +11.15 -1.36767 +11.16 -1.3837 +11.17 -1.39957 +11.18 -1.41465 +11.19 -1.42747 +11.2 -1.43581 +11.21 -1.43691 +11.22 -1.42683 +11.23 -1.40242 +11.24 -1.36103 +11.25 -1.30011 +11.26 -1.21776 +11.27 -1.11291 +11.28 -0.985439 +11.29 -0.836249 +11.3 -0.667324 +11.31 -0.480665 +11.32 -0.281904 +11.33 -0.0762158 +11.34 0.130819 +11.35 0.33324 +11.36 0.524952 +11.37 0.699977 +11.38 0.852708 +11.39 0.978017 +11.4 1.06878 +11.41 1.12454 +11.42 1.14355 +11.43 1.12526 +11.44 1.07037 +11.45 0.980747 +11.46 0.859388 +11.47 0.710227 +11.48 0.537636 +11.49 0.346565 +11.5 0.144294 +11.51 -0.0634804 +11.52 -0.271254 +11.53 -0.473927 +11.54 -0.66699 +11.55 -0.846668 +11.56 -1.01003 +11.57 -1.15434 +11.58 -1.27806 +11.59 -1.38219 +11.6 -1.46747 +11.61 -1.53526 +11.62 -1.58744 +11.63 -1.62621 +11.64 -1.65391 +11.65 -1.67286 +11.66 -1.68495 +11.67 -1.69218 +11.68 -1.69603 +11.69 -1.69716 +11.7 -1.69566 +11.71 -1.69104 +11.72 -1.68228 +11.73 -1.66795 +11.74 -1.64627 +11.75 -1.61453 +11.76 -1.57096 +11.77 -1.514 +11.78 -1.44222 +11.79 -1.35464 +11.8 -1.25089 +11.81 -1.13127 +11.82 -0.996854 +11.83 -0.849457 +11.84 -0.691054 +11.85 -0.526043 +11.86 -0.358474 +11.87 -0.192727 +11.88 -0.0334482 +11.89 0.11462 +11.9 0.246821 +11.91 0.358758 +11.92 0.446284 +11.93 0.50356 +11.94 0.53022 +11.95 0.524586 +11.96 0.485851 +11.97 0.414095 +11.98 0.310266 +11.99 0.176128 +12 0.0141765 +12.01 -0.172927 +12.02 -0.382129 +12.03 -0.607674 +12.04 -0.845313 +12.05 -1.09073 +12.06 -1.33969 +12.07 -1.58808 +12.08 -1.83209 +12.09 -2.06815 +12.1 -2.29256 +12.11 -2.50192 +12.12 -2.69442 +12.13 -2.86792 +12.14 -3.02053 +12.15 -3.15052 +12.16 -3.25634 +12.17 -3.33648 +12.18 -3.38949 +12.19 -3.41233 +12.2 -3.40383 +12.21 -3.36369 +12.22 -3.29059 +12.23 -3.18331 +12.24 -3.04084 +12.25 -2.86248 +12.26 -2.64791 +12.27 -2.39732 +12.28 -2.10915 +12.29 -1.78679 +12.3 -1.43347 +12.31 -1.05243 +12.32 -0.647742 +12.33 -0.224279 +12.34 0.212328 +12.35 0.655788 +12.36 1.09927 +12.37 1.5343 +12.38 1.95338 +12.39 2.34915 +12.4 2.71444 +12.41 3.04253 +12.42 3.32735 +12.43 3.56366 +12.44 3.74719 +12.45 3.8743 +12.46 3.93868 +12.47 3.94467 +12.48 3.89318 +12.49 3.78637 +12.5 3.62754 +12.51 3.42105 +12.52 3.17215 +12.53 2.88686 +12.54 2.57119 +12.55 2.23188 +12.56 1.87803 +12.57 1.51673 +12.58 1.15487 +12.59 0.798989 +12.6 0.455166 +12.61 0.128913 +12.62 -0.174875 +12.63 -0.450731 +12.64 -0.694374 +12.65 -0.904443 +12.66 -1.07877 +12.67 -1.21572 +12.68 -1.3142 +12.69 -1.37353 +12.7 -1.39342 +12.71 -1.37392 +12.72 -1.31325 +12.73 -1.21293 +12.74 -1.07536 +12.75 -0.901818 +12.76 -0.693866 +12.77 -0.453421 +12.78 -0.182769 +12.79 0.115395 +12.8 0.437933 +12.81 0.78244 +12.82 1.1433 +12.83 1.51546 +12.84 1.89384 +12.85 2.27303 +12.86 2.6473 +12.87 3.01078 +12.88 3.35753 +12.89 3.6817 +12.9 3.97473 +12.91 4.23343 +12.92 4.45343 +12.93 4.63094 +12.94 4.76307 +12.95 4.84785 +12.96 4.88438 +12.97 4.8728 +12.98 4.81384 +12.99 4.70699 +13 4.55948 +13.01 4.3756 +13.02 4.16032 +13.03 3.91913 +13.04 3.65784 +13.05 3.38241 +13.06 3.09873 +13.07 2.81252 +13.08 2.52957 +13.09 2.25445 +13.1 1.99085 +13.11 1.74163 +13.12 1.50876 +13.13 1.29329 +13.14 1.09542 +13.15 0.914543 +13.16 0.749902 +13.17 0.599362 +13.18 0.459691 +13.19 0.328168 +13.2 0.201973 +13.21 0.0783467 +13.22 -0.0452695 +13.23 -0.171105 +13.24 -0.300956 +13.25 -0.436468 +13.26 -0.578251 +13.27 -0.726163 +13.28 -0.87971 +13.29 -1.03792 +13.3 -1.19943 +13.31 -1.36255 +13.32 -1.52544 +13.33 -1.68616 +13.34 -1.84244 +13.35 -1.99268 +13.36 -2.13562 +13.37 -2.27031 +13.38 -2.39624 +13.39 -2.51336 +13.4 -2.6221 +13.41 -2.72332 +13.42 -2.81828 +13.43 -2.90831 +13.44 -2.99575 +13.45 -3.08251 +13.46 -3.17044 +13.47 -3.26119 +13.48 -3.35612 +13.49 -3.45615 +13.5 -3.56173 +13.51 -3.67273 +13.52 -3.7885 +13.53 -3.907 +13.54 -4.02593 +13.55 -4.14239 +13.56 -4.25294 +13.57 -4.35368 +13.58 -4.44039 +13.59 -4.50864 +13.6 -4.55315 +13.61 -4.56813 +13.62 -4.55106 +13.63 -4.49834 +13.64 -4.40699 +13.65 -4.27471 +13.66 -4.10005 +13.67 -3.88242 +13.68 -3.62221 +13.69 -3.31902 +13.7 -2.97553 +13.71 -2.59718 +13.72 -2.18838 +13.73 -1.75433 +13.74 -1.30095 +13.75 -0.834725 +13.76 -0.362615 +13.77 0.108114 +13.78 0.569031 +13.79 1.01215 +13.8 1.43054 +13.81 1.81729 +13.82 2.16596 +13.83 2.47071 +13.84 2.72641 +13.85 2.92876 +13.86 3.07435 +13.87 3.15611 +13.88 3.17632 +13.89 3.13582 +13.9 3.03565 +13.91 2.8779 +13.92 2.66572 +13.93 2.40326 +13.94 2.0956 +13.95 1.74869 +13.96 1.3669 +13.97 0.961201 +13.98 0.539537 +13.99 0.110155 +14 -0.318524 +14.01 -0.738069 +14.02 -1.1402 +14.03 -1.51696 +14.04 -1.86023 +14.05 -2.16012 +14.06 -2.41333 +14.07 -2.61493 +14.08 -2.761 +14.09 -2.84871 +14.1 -2.87646 +14.11 -2.84381 +14.12 -2.75154 +14.13 -2.59993 +14.14 -2.39096 +14.15 -2.13255 +14.16 -1.83004 +14.17 -1.48957 +14.18 -1.11794 +14.19 -0.722473 +14.2 -0.310795 +14.21 0.1093 +14.22 0.529694 +14.23 0.941895 +14.24 1.3388 +14.25 1.71382 +14.26 2.06106 +14.27 2.37536 +14.28 2.65245 +14.29 2.88896 +14.3 3.08249 +14.31 3.22875 +14.32 3.32882 +14.33 3.38463 +14.34 3.39762 +14.35 3.37 +14.36 3.30463 +14.37 3.20492 +14.38 3.07471 +14.39 2.91819 +14.4 2.73836 +14.41 2.54152 +14.42 2.33241 +14.43 2.1153 +14.44 1.89426 +14.45 1.67305 +14.46 1.4551 +14.47 1.24339 +14.48 1.04054 +14.49 0.849793 +14.5 0.671893 +14.51 0.507976 +14.52 0.35876 +14.53 0.224574 +14.54 0.105398 +14.55 0.000894375 +14.56 -0.08954 +14.57 -0.166514 +14.58 -0.230476 +14.59 -0.283573 +14.6 -0.327067 +14.61 -0.362273 +14.62 -0.390528 +14.63 -0.413161 +14.64 -0.431471 +14.65 -0.44671 +14.66 -0.460036 +14.67 -0.472655 +14.68 -0.485663 +14.69 -0.499953 +14.7 -0.516311 +14.71 -0.535405 +14.72 -0.55778 +14.73 -0.583845 +14.74 -0.613868 +14.75 -0.648159 +14.76 -0.686602 +14.77 -0.728742 +14.78 -0.774106 +14.79 -0.822008 +14.8 -0.871552 +14.81 -0.921616 +14.82 -0.970853 +14.83 -1.0177 +14.84 -1.05997 +14.85 -1.09561 +14.86 -1.12258 +14.87 -1.13857 +14.88 -1.1412 +14.89 -1.12806 +14.9 -1.09678 +14.91 -1.0451 +14.92 -0.970903 +14.93 -0.87026 +14.94 -0.743297 +14.95 -0.589292 +14.96 -0.407754 +14.97 -0.198755 +14.98 0.0370128 +14.99 0.298201 +15 0.582777 +15.01 0.888093 +15.02 1.21179 +15.03 1.54789 +15.04 1.89163 +15.05 2.23774 +15.06 2.58054 +15.07 2.91409 +15.08 3.23226 +15.09 3.52896 +15.1 3.7975 +15.11 4.02995 +15.12 4.2232 +15.13 4.37278 +15.14 4.47493 +15.15 4.52678 +15.16 4.52641 +15.17 4.47294 +15.18 4.36653 +15.19 4.20667 +15.2 3.99508 +15.21 3.73822 +15.22 3.44057 +15.23 3.10739 +15.24 2.74465 +15.25 2.35882 +15.26 1.95674 +15.27 1.54542 +15.28 1.13215 +15.29 0.724621 +15.3 0.329302 +15.31 -0.0478994 +15.32 -0.401736 +15.33 -0.727728 +15.34 -1.02224 +15.35 -1.28256 +15.36 -1.5069 +15.37 -1.69192 +15.38 -1.83943 +15.39 -1.95145 +15.4 -2.02988 +15.41 -2.07729 +15.42 -2.09679 +15.43 -2.09196 +15.44 -2.06666 +15.45 -2.02498 +15.46 -1.97035 +15.47 -1.90808 +15.48 -1.84215 +15.49 -1.77612 +15.5 -1.71322 +15.51 -1.65626 +15.52 -1.6076 +15.53 -1.56914 +15.54 -1.54237 +15.55 -1.52924 +15.56 -1.52912 +15.57 -1.54197 +15.58 -1.56737 +15.59 -1.60457 +15.6 -1.65255 +15.61 -1.71005 +15.62 -1.77565 +15.63 -1.8479 +15.64 -1.92518 +15.65 -2.00536 +15.66 -2.08674 +15.67 -2.16766 +15.68 -2.24649 +15.69 -2.32168 +15.7 -2.3918 +15.71 -2.4555 +15.72 -2.51122 +15.73 -2.55764 +15.74 -2.59427 +15.75 -2.62037 +15.76 -2.63537 +15.77 -2.63888 +15.78 -2.6307 +15.79 -2.61082 +15.8 -2.57942 +15.81 -2.53633 +15.82 -2.48242 +15.83 -2.41893 +15.84 -2.34687 +15.85 -2.26742 +15.86 -2.18186 +15.87 -2.09161 +15.88 -1.99816 +15.89 -1.90301 +15.9 -1.80777 +15.91 -1.71404 +15.92 -1.62315 +15.93 -1.53627 +15.94 -1.45439 +15.95 -1.37823 +15.96 -1.30829 +15.97 -1.24474 +15.98 -1.18745 +15.99 -1.13643 +16 -1.09031 +16.01 -1.04794 +16.02 -1.0079 +16.03 -0.968523 +16.04 -0.927958 +16.05 -0.884193 +16.06 -0.835125 +16.07 -0.778526 +16.08 -0.711392 +16.09 -0.632404 +16.1 -0.539779 +16.11 -0.431991 +16.12 -0.307823 +16.13 -0.166426 +16.14 -0.00736698 +16.15 0.169334 +16.16 0.363574 +16.17 0.574853 +16.18 0.800384 +16.19 1.03802 +16.2 1.28515 +16.21 1.53869 +16.22 1.79517 +16.23 2.05077 +16.24 2.30139 +16.25 2.5422 +16.26 2.7681 +16.27 2.97524 +16.28 3.15935 +16.29 3.31641 +16.3 3.44275 +16.31 3.53514 +16.32 3.59089 +16.33 3.60798 +16.34 3.58279 +16.35 3.51573 +16.36 3.4088 +16.37 3.26343 +16.38 3.08199 +16.39 2.86774 +16.4 2.62475 +16.41 2.35793 +16.42 2.07285 +16.43 1.7753 +16.44 1.4732 +16.45 1.17376 +16.46 0.883993 +16.47 0.610836 +16.48 0.360931 +16.49 0.140444 +16.5 -0.0451108 +16.51 -0.191047 +16.52 -0.289598 +16.53 -0.341797 +16.54 -0.346725 +16.55 -0.304571 +16.56 -0.216843 +16.57 -0.0863435 +16.58 0.0828734 +16.59 0.285597 +16.6 0.515811 +16.61 0.767 +16.62 1.02912 +16.63 1.29382 +16.64 1.5526 +16.65 1.79699 +16.66 2.01884 +16.67 2.21053 +16.68 2.36523 +16.69 2.47573 +16.7 2.53513 +16.71 2.54312 +16.72 2.49799 +16.73 2.39944 +16.74 2.2487 +16.75 2.0484 +16.76 1.80254 +16.77 1.51635 +16.78 1.19504 +16.79 0.846691 +16.8 0.481023 +16.81 0.106529 +16.82 -0.268112 +16.83 -0.634282 +16.84 -0.983658 +16.85 -1.30844 +16.86 -1.60153 +16.87 -1.85422 +16.88 -2.06194 +16.89 -2.22233 +16.9 -2.33301 +16.91 -2.39291 +16.92 -2.4023 +16.93 -2.36269 +16.94 -2.27684 +16.95 -2.1486 +16.96 -1.98044 +16.97 -1.78081 +16.98 -1.55683 +16.99 -1.31539 +17 -1.0636 +17.01 -0.808633 +17.02 -0.557517 +17.03 -0.316945 +17.04 -0.0931206 +17.05 0.105948 +17.06 0.277245 +17.07 0.417156 +17.08 0.52302 +17.09 0.593222 +17.1 0.627213 +17.11 0.625508 +17.12 0.589652 +17.13 0.521771 +17.14 0.423897 +17.15 0.302831 +17.16 0.163559 +17.17 0.011546 +17.18 -0.14742 +17.19 -0.307392 +17.2 -0.462434 +17.21 -0.606785 +17.22 -0.73439 +17.23 -0.839154 +17.24 -0.918016 +17.25 -0.967651 +17.26 -0.985622 +17.27 -0.970453 +17.28 -0.921668 +17.29 -0.839812 +17.3 -0.726442 +17.31 -0.582916 +17.32 -0.413166 +17.33 -0.222913 +17.34 -0.0171874 +17.35 0.198484 +17.36 0.418237 +17.37 0.636035 +17.38 0.845851 +17.39 1.04183 +17.4 1.21698 +17.41 1.36642 +17.42 1.4866 +17.43 1.57413 +17.44 1.6265 +17.45 1.64214 +17.46 1.62043 +17.47 1.56175 +17.48 1.46737 +17.49 1.33711 +17.5 1.17638 +17.51 0.989475 +17.52 0.780679 +17.53 0.554676 +17.54 0.316379 +17.55 0.0707917 +17.56 -0.17714 +17.57 -0.422654 +17.58 -0.660307 +17.59 -0.886473 +17.6 -1.09775 +17.61 -1.29132 +17.62 -1.46496 +17.63 -1.61707 +17.64 -1.74664 +17.65 -1.85325 +17.66 -1.93663 +17.67 -1.99609 +17.68 -2.03441 +17.69 -2.05289 +17.7 -2.05304 +17.71 -2.03652 +17.72 -2.00502 +17.73 -1.96025 +17.74 -1.90384 +17.75 -1.83705 +17.76 -1.76121 +17.77 -1.67813 +17.78 -1.5889 +17.79 -1.49445 +17.8 -1.39562 +17.81 -1.29311 +17.82 -1.18759 +17.83 -1.07965 +17.84 -0.96983 +17.85 -0.858813 +17.86 -0.74731 +17.87 -0.635998 +17.88 -0.525601 +17.89 -0.416895 +17.9 -0.31069 +17.91 -0.207829 +17.92 -0.109162 +17.93 -0.015906 +17.94 0.0712245 +17.95 0.151628 +17.96 0.224627 +17.97 0.28963 +17.98 0.346141 +17.99 0.393761 +18 0.432189 +18.01 0.461219 +18.02 0.479968 +18.03 0.489031 +18.04 0.488558 +18.05 0.478627 +18.06 0.459359 +18.07 0.430912 +18.08 0.393485 +18.09 0.347325 +18.1 0.292717 +18.11 0.229405 +18.12 0.158666 +18.13 0.0811761 +18.14 -0.00220943 +18.15 -0.0904257 +18.16 -0.18217 +18.17 -0.27588 +18.18 -0.369721 +18.19 -0.461503 +18.2 -0.548346 +18.21 -0.627775 +18.22 -0.696975 +18.23 -0.753029 +18.24 -0.792994 +18.25 -0.814002 +18.26 -0.813364 +18.27 -0.788681 +18.28 -0.737007 +18.29 -0.656133 +18.3 -0.546896 +18.31 -0.409358 +18.32 -0.244391 +18.33 -0.0537243 +18.34 0.160036 +18.35 0.393418 +18.36 0.642129 +18.37 0.901351 +18.38 1.16456 +18.39 1.42508 +18.4 1.67635 +18.41 1.91171 +18.42 2.1246 +18.43 2.30874 +18.44 2.45839 +18.45 2.56849 +18.46 2.63177 +18.47 2.6467 +18.48 2.61276 +18.49 2.52957 +18.5 2.39805 +18.51 2.22045 +18.52 2.00028 +18.53 1.74222 +18.54 1.45204 +18.55 1.13491 +18.56 0.800718 +18.57 0.457648 +18.58 0.11381 +18.59 -0.222726 +18.6 -0.544163 +18.61 -0.843202 +18.62 -1.11325 +18.63 -1.34837 +18.64 -1.54032 +18.65 -1.68894 +18.66 -1.79219 +18.67 -1.84928 +18.68 -1.86064 +18.69 -1.82789 +18.7 -1.75371 +18.71 -1.64175 +18.72 -1.49589 +18.73 -1.32039 +18.74 -1.12322 +18.75 -0.910244 +18.76 -0.687362 +18.77 -0.46035 +18.78 -0.23469 +18.79 -0.0154361 +18.8 0.192904 +18.81 0.385794 +18.82 0.559452 +18.83 0.712479 +18.84 0.843376 +18.85 0.951372 +18.86 1.03638 +18.87 1.09893 +18.88 1.14008 +18.89 1.16138 +18.9 1.16385 +18.91 1.15015 +18.92 1.12328 +18.93 1.08559 +18.94 1.03939 +18.95 0.986835 +18.96 0.929927 +18.97 0.870425 +18.98 0.80982 +18.99 0.749385 +19 0.69007 +19.01 0.632418 +19.02 0.57671 +19.03 0.522985 +19.04 0.471077 +19.05 0.420661 +19.06 0.371295 +19.07 0.322469 +19.08 0.273614 +19.09 0.224205 +19.1 0.173846 +19.11 0.122273 +19.12 0.0693806 +19.13 0.0152551 +19.14 -0.0398097 +19.15 -0.0952996 +19.16 -0.150468 +19.17 -0.204156 +19.18 -0.255211 +19.19 -0.302283 +19.2 -0.343901 +19.21 -0.378517 +19.22 -0.404566 +19.23 -0.420522 +19.24 -0.424963 +19.25 -0.416317 +19.26 -0.39287 +19.27 -0.35489 +19.28 -0.302132 +19.29 -0.234777 +19.3 -0.153471 +19.31 -0.0593505 +19.32 0.0459534 +19.33 0.160319 +19.34 0.281297 +19.35 0.405531 +19.36 0.529284 +19.37 0.648907 +19.38 0.760615 +19.39 0.860603 +19.4 0.945175 +19.41 1.01087 +19.42 1.0546 +19.43 1.0723 +19.44 1.0623 +19.45 1.02443 +19.46 0.958428 +19.47 0.864912 +19.48 0.745379 +19.49 0.602222 +19.5 0.438687 +19.51 0.258805 +19.52 0.0668483 +19.53 -0.130751 +19.54 -0.328019 +19.55 -0.51904 +19.56 -0.697914 +19.57 -0.858948 +19.58 -0.996855 +19.59 -1.10694 +19.6 -1.18529 +19.61 -1.22571 +19.62 -1.22908 +19.63 -1.19504 +19.64 -1.12426 +19.65 -1.01858 +19.66 -0.881009 +19.67 -0.715634 +19.68 -0.52751 +19.69 -0.322404 +19.7 -0.106756 +19.71 0.111129 +19.72 0.324107 +19.73 0.525114 +19.74 0.707387 +19.75 0.864681 +19.76 0.991464 +19.77 1.08309 +19.78 1.13486 +19.79 1.14246 +19.8 1.10749 +19.81 1.03015 +19.82 0.911849 +19.83 0.755089 +19.84 0.56341 +19.85 0.341232 +19.86 0.0936976 +19.87 -0.174058 +19.88 -0.455357 +19.89 -0.743048 +19.9 -1.03103 +19.91 -1.31348 +19.92 -1.58501 +19.93 -1.84082 +19.94 -2.07678 +19.95 -2.28954 +19.96 -2.475 +19.97 -2.63197 +19.98 -2.76066 +19.99 -2.86114 +20 -2.93415 +20.01 -2.98098 +20.02 -3.0034 +20.03 -3.00349 +20.04 -2.98353 +20.05 -2.94473 +20.06 -2.89053 +20.07 -2.82328 +20.08 -2.74475 +20.09 -2.65632 +20.1 -2.55897 +20.11 -2.45325 +20.12 -2.3393 +20.13 -2.21686 +20.14 -2.08443 +20.15 -1.94181 +20.16 -1.78792 +20.17 -1.62162 +20.18 -1.44177 +20.19 -1.24742 +20.2 -1.03783 +20.21 -0.812622 +20.22 -0.571654 +20.23 -0.314546 +20.24 -0.0437377 +20.25 0.239012 +20.26 0.531387 +20.27 0.830539 +20.28 1.13314 +20.29 1.43544 +20.3 1.73338 +20.31 2.0223 +20.32 2.29682 +20.33 2.55321 +20.34 2.78728 +20.35 2.99517 +20.36 3.17343 +20.37 3.31913 +20.38 3.42997 +20.39 3.50435 +20.4 3.53978 +20.41 3.5361 +20.42 3.49604 +20.43 3.42129 +20.44 3.31423 +20.45 3.17795 +20.46 3.01606 +20.47 2.83268 +20.48 2.63226 +20.49 2.41905 +20.5 2.19865 +20.51 1.97616 +20.52 1.75604 +20.53 1.54244 +20.54 1.33905 +20.55 1.14903 +20.56 0.974922 +20.57 0.818601 +20.58 0.682708 +20.59 0.566533 +20.6 0.469369 +20.61 0.390191 +20.62 0.327393 +20.63 0.278877 +20.64 0.242142 +20.65 0.214394 +20.66 0.192663 +20.67 0.17391 +20.68 0.154678 +20.69 0.1322 +20.7 0.103995 +20.71 0.0679476 +20.72 0.0223701 +20.73 -0.0339523 +20.74 -0.101737 +20.75 -0.181367 +20.76 -0.273215 +20.77 -0.375553 +20.78 -0.487181 +20.79 -0.606581 +20.8 -0.732003 +20.81 -0.861538 +20.82 -0.993213 +20.83 -1.12507 +20.84 -1.25513 +20.85 -1.38139 +20.86 -1.50255 +20.87 -1.6174 +20.88 -1.72504 +20.89 -1.82481 +20.9 -1.91634 +20.91 -1.99945 +20.92 -2.07416 +20.93 -2.14023 +20.94 -2.19786 +20.95 -2.24757 +20.96 -2.28943 +20.97 -2.3233 +20.98 -2.34887 +20.99 -2.36556 +21 -2.3725 +21.01 -2.36858 +21.02 -2.35153 +21.03 -2.31993 +21.04 -2.27233 +21.05 -2.20685 +21.06 -2.12163 +21.07 -2.0149 +21.08 -1.88516 +21.09 -1.73119 +21.1 -1.55227 +21.11 -1.34624 +21.12 -1.11524 +21.13 -0.860893 +21.14 -0.585168 +21.15 -0.290774 +21.16 0.0188713 +21.17 0.339688 +21.18 0.667013 +21.19 0.9957 +21.2 1.31935 +21.21 1.63219 +21.22 1.92851 +21.23 2.20276 +21.24 2.44974 +21.25 2.66475 +21.26 2.84376 +21.27 2.98355 +21.28 3.08107 +21.29 3.13246 +21.3 3.14088 +21.31 3.10735 +21.32 3.03399 +21.33 2.92386 +21.34 2.78092 +21.35 2.60991 +21.36 2.41617 +21.37 2.20517 +21.38 1.98343 +21.39 1.75805 +21.4 1.53504 +21.41 1.32006 +21.42 1.1183 +21.43 0.934299 +21.44 0.771828 +21.45 0.633823 +21.46 0.523647 +21.47 0.44227 +21.48 0.388472 +21.49 0.361323 +21.5 0.359098 +21.51 0.379372 +21.52 0.419139 +21.53 0.474951 +21.54 0.543059 +21.55 0.619842 +21.56 0.700688 +21.57 0.781652 +21.58 0.859293 +21.59 0.930559 +21.6 0.99286 +21.61 1.04412 +21.62 1.08282 +21.63 1.10799 +21.64 1.11808 +21.65 1.11417 +21.66 1.09701 +21.67 1.06751 +21.68 1.02684 +21.69 0.976304 +21.7 0.917291 +21.71 0.851153 +21.72 0.779117 +21.73 0.701927 +21.74 0.620874 +21.75 0.536476 +21.76 0.448974 +21.77 0.358338 +21.78 0.264296 +21.79 0.166375 +21.8 0.063957 +21.81 -0.0437674 +21.82 -0.157879 +21.83 -0.278584 +21.84 -0.406308 +21.85 -0.541238 +21.86 -0.683268 +21.87 -0.831954 +21.88 -0.986488 +21.89 -1.14569 +21.9 -1.30804 +21.91 -1.47143 +21.92 -1.63347 +21.93 -1.7917 +21.94 -1.94358 +21.95 -2.08649 +21.96 -2.21791 +21.97 -2.33545 +21.98 -2.43699 +21.99 -2.51977 +22 -2.5825 +22.01 -2.62518 +22.02 -2.64757 +22.03 -2.65001 +22.04 -2.63338 +22.05 -2.59909 +22.06 -2.54902 +22.07 -2.48547 +22.08 -2.41052 +22.09 -2.32778 +22.1 -2.24051 +22.11 -2.15164 +22.12 -2.06399 +22.13 -1.98013 +22.14 -1.90228 +22.15 -1.83224 +22.16 -1.77129 +22.17 -1.72102 +22.18 -1.68083 +22.19 -1.65009 +22.2 -1.62776 +22.21 -1.6123 +22.22 -1.60176 +22.23 -1.59385 +22.24 -1.58606 +22.25 -1.57574 +22.26 -1.55957 +22.27 -1.53533 +22.28 -1.50077 +22.29 -1.45396 +22.3 -1.39341 +22.31 -1.31807 +22.32 -1.22742 +22.33 -1.12147 +22.34 -1.00045 +22.35 -0.864888 +22.36 -0.717399 +22.37 -0.55994 +22.38 -0.394762 +22.39 -0.224315 +22.4 -0.0511574 +22.41 0.122141 +22.42 0.293091 +22.43 0.459111 +22.44 0.617786 +22.45 0.767683 +22.46 0.907442 +22.47 1.03608 +22.48 1.15296 +22.49 1.25785 +22.5 1.35078 +22.51 1.4321 +22.52 1.50182 +22.53 1.56091 +22.54 1.61061 +22.55 1.65175 +22.56 1.6851 +22.57 1.71133 +22.58 1.73098 +22.59 1.74441 +22.6 1.7518 +22.61 1.75274 +22.62 1.74733 +22.63 1.73541 +22.64 1.71665 +22.65 1.69068 +22.66 1.65718 +22.67 1.61595 +22.68 1.56695 +22.69 1.51035 +22.7 1.446 +22.71 1.37526 +22.72 1.29922 +22.73 1.21918 +22.74 1.13671 +22.75 1.05353 +22.76 0.971537 +22.77 0.892672 +22.78 0.818923 +22.79 0.752801 +22.8 0.695442 +22.81 0.648142 +22.82 0.611842 +22.83 0.587067 +22.84 0.573892 +22.85 0.571921 +22.86 0.580288 +22.87 0.597853 +22.88 0.623002 +22.89 0.653021 +22.9 0.685569 +22.91 0.718178 +22.92 0.748361 +22.93 0.773721 +22.94 0.792059 +22.95 0.801479 +22.96 0.800017 +22.97 0.786426 +22.98 0.760868 +22.99 0.7235 +23 0.675025 +23.01 0.616669 +23.02 0.550122 +23.03 0.477471 +23.04 0.401097 +23.05 0.323665 +23.06 0.24814 +23.07 0.177111 +23.08 0.112927 +23.09 0.0576188 +23.1 0.0128024 +23.11 -0.0204029 +23.12 -0.0414293 +23.13 -0.0502927 +23.14 -0.0468583 +23.15 -0.0330749 +23.16 -0.0109798 +23.17 0.0172099 +23.18 0.0489553 +23.19 0.0815084 +23.2 0.112036 +23.21 0.137745 +23.22 0.156011 +23.23 0.163471 +23.24 0.158897 +23.25 0.140999 +23.26 0.108996 +23.27 0.0627 +23.28 0.00252891 +23.29 -0.0705133 +23.3 -0.154877 +23.31 -0.248602 +23.32 -0.349475 +23.33 -0.453987 +23.34 -0.559205 +23.35 -0.662151 +23.36 -0.759924 +23.37 -0.849798 +23.38 -0.929322 +23.39 -0.9964 +23.4 -1.04895 +23.41 -1.08506 +23.42 -1.10504 +23.43 -1.10876 +23.44 -1.09649 +23.45 -1.06893 +23.46 -1.02711 +23.47 -0.972346 +23.48 -0.906141 +23.49 -0.829779 +23.5 -0.74506 +23.51 -0.654087 +23.52 -0.558369 +23.53 -0.45927 +23.54 -0.357968 +23.55 -0.255446 +23.56 -0.152487 +23.57 -0.049689 +23.58 0.0524593 +23.59 0.153637 +23.6 0.253649 +23.61 0.352303 +23.62 0.449388 +23.63 0.544632 +23.64 0.63767 +23.65 0.728021 +23.66 0.815073 +23.67 0.897725 +23.68 0.975247 +23.69 1.04676 +23.7 1.11125 +23.71 1.16772 +23.72 1.21524 +23.73 1.25295 +23.74 1.28019 +23.75 1.29648 +23.76 1.3006 +23.77 1.29363 +23.78 1.27599 +23.79 1.24839 +23.8 1.21176 +23.81 1.16731 +23.82 1.11641 +23.83 1.06053 +23.84 1.00123 +23.85 0.94004 +23.86 0.878625 +23.87 0.818201 +23.88 0.759731 +23.89 0.703872 +23.9 0.650934 +23.91 0.60085 +23.92 0.553174 +23.93 0.5071 +23.94 0.461315 +23.95 0.414211 +23.96 0.364056 +23.97 0.308981 +23.98 0.24706 +23.99 0.176406 +24 0.095252 +24.01 0.00204348 +24.02 -0.105123 +24.03 -0.227269 +24.04 -0.364156 +24.05 -0.515738 +24.06 -0.681509 +24.07 -0.860504 +24.08 -1.05133 +24.09 -1.25219 +24.1 -1.46095 +24.11 -1.67538 +24.12 -1.89239 +24.13 -2.10906 +24.14 -2.32258 +24.15 -2.53021 +24.16 -2.7293 +24.17 -2.91735 +24.18 -3.09208 +24.19 -3.25144 +24.2 -3.39218 +24.21 -3.51369 +24.22 -3.615 +24.23 -3.69509 +24.24 -3.75315 +24.25 -3.78852 +24.26 -3.80069 +24.27 -3.78925 +24.28 -3.75388 +24.29 -3.6921 +24.3 -3.60592 +24.31 -3.49523 +24.32 -3.36 +24.33 -3.20032 +24.34 -3.01639 +24.35 -2.80862 +24.36 -2.57764 +24.37 -2.32405 +24.38 -2.04795 +24.39 -1.75272 +24.4 -1.44046 +24.41 -1.11368 +24.42 -0.7753 +24.43 -0.428637 +24.44 -0.0773746 +24.45 0.274496 +24.46 0.622488 +24.47 0.961466 +24.48 1.28726 +24.49 1.59552 +24.5 1.88211 +24.51 2.1432 +24.52 2.37539 +24.53 2.57581 +24.54 2.7422 +24.55 2.87129 +24.56 2.96227 +24.57 3.01688 +24.58 3.036 +24.59 3.02124 +24.6 2.97487 +24.61 2.89979 +24.62 2.7994 +24.63 2.67751 +24.64 2.5374 +24.65 2.38435 +24.66 2.22311 +24.67 2.0578 +24.68 1.89226 +24.69 1.73 +24.7 1.57405 +24.71 1.42696 +24.72 1.29067 +24.73 1.16757 +24.74 1.05763 +24.75 0.960713 +24.76 0.876361 +24.77 0.803622 +24.78 0.74115 +24.79 0.687283 +24.8 0.640133 +24.81 0.597683 +24.82 0.557914 +24.83 0.518445 +24.84 0.477437 +24.85 0.433272 +24.86 0.384613 +24.87 0.33044 +24.88 0.270088 +24.89 0.203264 +24.9 0.129942 +24.91 0.050315 +24.92 -0.0342715 +24.93 -0.122636 +24.94 -0.213325 +24.95 -0.304654 +24.96 -0.39476 +24.97 -0.481641 +24.98 -0.563215 +24.99 -0.637043 +25 -0.70054 +25.01 -0.752145 +25.02 -0.789957 +25.03 -0.812239 +25.04 -0.817453 +25.05 -0.804298 +25.06 -0.771743 +25.07 -0.719061 +25.08 -0.644842 +25.09 -0.549211 +25.1 -0.43348 +25.11 -0.298466 +25.12 -0.14539 +25.13 0.0241266 +25.14 0.208066 +25.15 0.40403 +25.16 0.609266 +25.17 0.820882 +25.18 1.03492 +25.19 1.2476 +25.2 1.45521 +25.21 1.65396 +25.22 1.84008 +25.23 2.00993 +25.24 2.16006 +25.25 2.28734 +25.26 2.38673 +25.27 2.45758 +25.28 2.49855 +25.29 2.50859 +25.3 2.48732 +25.31 2.43498 +25.32 2.35252 +25.33 2.2415 +25.34 2.10401 +25.35 1.94113 +25.36 1.75848 +25.37 1.55977 +25.38 1.34896 +25.39 1.1302 +25.4 0.907646 +25.41 0.685412 +25.42 0.467412 +25.43 0.257497 +25.44 0.0597822 +25.45 -0.123683 +25.46 -0.290784 +25.47 -0.439984 +25.48 -0.570342 +25.49 -0.681506 +25.5 -0.773693 +25.51 -0.847644 +25.52 -0.904015 +25.53 -0.944305 +25.54 -0.971422 +25.55 -0.987506 +25.56 -0.994785 +25.57 -0.995485 +25.58 -0.991735 +25.59 -0.985488 +25.6 -0.978452 +25.61 -0.972124 +25.62 -0.967638 +25.63 -0.965573 +25.64 -0.96617 +25.65 -0.969309 +25.66 -0.974549 +25.67 -0.981159 +25.68 -0.988184 +25.69 -0.994496 +25.7 -0.998656 +25.71 -0.999366 +25.72 -0.99549 +25.73 -0.985962 +25.74 -0.969899 +25.75 -0.946651 +25.76 -0.915835 +25.77 -0.877363 +25.78 -0.831459 +25.79 -0.77815 +25.8 -0.718892 +25.81 -0.654911 +25.82 -0.5876 +25.83 -0.518537 +25.84 -0.449432 +25.85 -0.382077 +25.86 -0.318284 +25.87 -0.259875 +25.88 -0.209241 +25.89 -0.167398 +25.9 -0.135642 +25.91 -0.115029 +25.92 -0.106345 +25.93 -0.110084 +25.94 -0.126437 +25.95 -0.155285 +25.96 -0.196457 +25.97 -0.249674 +25.98 -0.313051 +25.99 -0.385309 +26 -0.464964 +26.01 -0.550372 +26.02 -0.639761 +26.03 -0.731282 +26.04 -0.82305 +26.05 -0.913053 +26.06 -0.999202 +26.07 -1.0799 +26.08 -1.15359 +26.09 -1.21888 +26.1 -1.27462 +26.11 -1.31985 +26.12 -1.35389 +26.13 -1.37632 +26.14 -1.38638 +26.15 -1.38443 +26.16 -1.37139 +26.17 -1.348 +26.18 -1.31523 +26.19 -1.27424 +26.2 -1.22643 +26.21 -1.17329 +26.22 -1.11647 +26.23 -1.05764 +26.24 -0.998777 +26.25 -0.941607 +26.26 -0.887722 +26.27 -0.838589 +26.28 -0.795499 +26.29 -0.759537 +26.3 -0.731542 +26.31 -0.712079 +26.32 -0.702175 +26.33 -0.701052 +26.34 -0.708234 +26.35 -0.723002 +26.36 -0.744349 +26.37 -0.771 +26.38 -0.801443 +26.39 -0.83397 +26.4 -0.866702 +26.41 -0.89734 +26.42 -0.923867 +26.43 -0.944272 +26.44 -0.95662 +26.45 -0.959096 +26.46 -0.950064 +26.47 -0.928106 +26.48 -0.892067 +26.49 -0.840707 +26.5 -0.772802 +26.51 -0.689255 +26.52 -0.590303 +26.53 -0.476527 +26.54 -0.348847 +26.55 -0.208495 +26.56 -0.0569951 +26.57 0.10388 +26.58 0.272354 +26.59 0.446063 +26.6 0.622361 +26.61 0.79893 +26.62 0.973463 +26.63 1.14372 +26.64 1.30757 +26.65 1.46307 +26.66 1.60846 +26.67 1.74153 +26.68 1.86119 +26.69 1.96702 +26.7 2.05852 +26.71 2.13549 +26.72 2.19805 +26.73 2.24665 +26.74 2.282 +26.75 2.30508 +26.76 2.31639 +26.77 2.31801 +26.78 2.31167 +26.79 2.29896 +26.8 2.28143 +26.81 2.2606 +26.82 2.23791 +26.83 2.21461 +26.84 2.19178 +26.85 2.17042 +26.86 2.15098 +26.87 2.13369 +26.88 2.11845 +26.89 2.10488 +26.9 2.09233 +26.91 2.07984 +26.92 2.06627 +26.93 2.0502 +26.94 2.02968 +26.95 2.00333 +26.96 1.96951 +26.97 1.92663 +26.98 1.8732 +26.99 1.8079 +27 1.7296 +27.01 1.63744 +27.02 1.53047 +27.03 1.4079 +27.04 1.27088 +27.05 1.11998 +27.06 0.956112 +27.07 0.780516 +27.08 0.594761 +27.09 0.400683 +27.1 0.200351 +27.11 -0.00405243 +27.12 -0.209861 +27.13 -0.414444 +27.14 -0.615367 +27.15 -0.810257 +27.16 -0.996861 +27.17 -1.17309 +27.18 -1.33707 +27.19 -1.48717 +27.2 -1.62105 +27.21 -1.73793 +27.22 -1.83759 +27.23 -1.91961 +27.24 -1.98382 +27.25 -2.03032 +27.26 -2.05943 +27.27 -2.07171 +27.28 -2.06786 +27.29 -2.04769 +27.3 -2.01314 +27.31 -1.96555 +27.32 -1.90605 +27.33 -1.83577 +27.34 -1.75586 +27.35 -1.66745 +27.36 -1.57164 +27.37 -1.46951 +27.38 -1.36169 +27.39 -1.24972 +27.4 -1.13453 +27.41 -1.01704 +27.42 -0.898098 +27.43 -0.778532 +27.44 -0.659133 +27.45 -0.540656 +27.46 -0.423854 +27.47 -0.309621 +27.48 -0.198445 +27.49 -0.0908956 +27.5 0.0125118 +27.51 0.111329 +27.52 0.205177 +27.53 0.293754 +27.54 0.376834 +27.55 0.454102 +27.56 0.52529 +27.57 0.590765 +27.58 0.650594 +27.59 0.704887 +27.6 0.753782 +27.61 0.797429 +27.62 0.835975 +27.63 0.869543 +27.64 0.897997 +27.65 0.921357 +27.66 0.939805 +27.67 0.953225 +27.68 0.96143 +27.69 0.964168 +27.7 0.961132 +27.71 0.951975 +27.72 0.936335 +27.73 0.913417 +27.74 0.883073 +27.75 0.845278 +27.76 0.799897 +27.77 0.746919 +27.78 0.686486 +27.79 0.618914 +27.8 0.544701 +27.81 0.464537 +27.82 0.378991 +27.83 0.289549 +27.84 0.197532 +27.85 0.104299 +27.86 0.0112931 +27.87 -0.0800047 +27.88 -0.168124 +27.89 -0.251653 +27.9 -0.32929 +27.91 -0.399159 +27.92 -0.46094 +27.93 -0.514001 +27.94 -0.557994 +27.95 -0.592864 +27.96 -0.618865 +27.97 -0.636552 +27.98 -0.646762 +27.99 -0.650513 +28 -0.648966 +28.01 -0.644111 +28.02 -0.637563 +28.03 -0.630975 +28.04 -0.625974 +28.05 -0.624097 +28.06 -0.626733 +28.07 -0.635067 +28.08 -0.65026 +28.09 -0.673205 +28.1 -0.703742 +28.11 -0.74179 +28.12 -0.786941 +28.13 -0.838477 +28.14 -0.895393 +28.15 -0.956444 +28.16 -1.02019 +28.17 -1.08501 +28.18 -1.14905 +28.19 -1.21058 +28.2 -1.26803 +28.21 -1.31991 +28.22 -1.36495 +28.23 -1.40207 +28.24 -1.43047 +28.25 -1.44964 +28.26 -1.45876 +28.27 -1.45829 +28.28 -1.44892 +28.29 -1.43132 +28.3 -1.40639 +28.31 -1.37516 +28.32 -1.3388 +28.33 -1.29852 +28.34 -1.25554 +28.35 -1.21097 +28.36 -1.16602 +28.37 -1.12154 +28.38 -1.07814 +28.39 -1.0362 +28.4 -0.995841 +28.41 -0.956908 +28.42 -0.919001 +28.43 -0.881475 +28.44 -0.843336 +28.45 -0.803496 +28.46 -0.760782 +28.47 -0.713957 +28.48 -0.661783 +28.49 -0.603078 +28.5 -0.53677 +28.51 -0.461956 +28.52 -0.377767 +28.53 -0.283215 +28.54 -0.17891 +28.55 -0.0650895 +28.56 0.0576917 +28.57 0.18856 +28.58 0.326339 +28.59 0.469578 +28.6 0.616581 +28.61 0.765448 +28.62 0.913884 +28.63 1.05966 +28.64 1.20061 +28.65 1.33462 +28.66 1.4597 +28.67 1.57399 +28.68 1.67585 +28.69 1.76391 +28.7 1.83627 +28.71 1.89221 +28.72 1.93201 +28.73 1.95564 +28.74 1.96338 +28.75 1.95586 +28.76 1.93399 +28.77 1.89891 +28.78 1.852 +28.79 1.79425 +28.8 1.7279 +28.81 1.65497 +28.82 1.57722 +28.83 1.49634 +28.84 1.41396 +28.85 1.33157 +28.86 1.25052 +28.87 1.17196 +28.88 1.09717 +28.89 1.02668 +28.9 0.960917 +28.91 0.900153 +28.92 0.844457 +28.93 0.793734 +28.94 0.747745 +28.95 0.70614 +28.96 0.668506 +28.97 0.63461 +28.98 0.60363 +28.99 0.575115 +29 0.548668 +29.01 0.523974 +29.02 0.500814 +29.03 0.479076 +29.04 0.458764 +29.05 0.440027 +29.06 0.423206 +29.07 0.408512 +29.08 0.396332 +29.09 0.387089 +29.1 0.38122 +29.11 0.379141 +29.12 0.381223 +29.13 0.387759 +29.14 0.399113 +29.15 0.415436 +29.16 0.436357 +29.17 0.461611 +29.18 0.490767 +29.19 0.523239 +29.2 0.558284 +29.21 0.595023 +29.22 0.632455 +29.23 0.669398 +29.24 0.704545 +29.25 0.736709 +29.26 0.764682 +29.27 0.787288 +29.28 0.803418 +29.29 0.812052 +29.3 0.812287 +29.31 0.803359 +29.32 0.783966 +29.33 0.754069 +29.34 0.713682 +29.35 0.66275 +29.36 0.601388 +29.37 0.529875 +29.38 0.448634 +29.39 0.358225 +29.4 0.259324 +29.41 0.152132 +29.42 0.0381649 +29.43 -0.0815836 +29.44 -0.206146 +29.45 -0.334528 +29.46 -0.465723 +29.47 -0.598724 +29.48 -0.732528 +29.49 -0.866135 +29.5 -0.99839 +29.51 -1.12838 +29.52 -1.25516 +29.53 -1.37785 +29.54 -1.49556 +29.55 -1.60744 +29.56 -1.71267 +29.57 -1.81045 +29.58 -1.89982 +29.59 -1.97959 +29.6 -2.04968 +29.61 -2.10951 +29.62 -2.15855 +29.63 -2.19636 +29.64 -2.2226 +29.65 -2.23699 +29.66 -2.23939 +29.67 -2.22929 +29.68 -2.20657 +29.69 -2.17209 +29.7 -2.12615 +29.71 -2.06916 +29.72 -2.00161 +29.73 -1.9241 +29.74 -1.83729 +29.75 -1.7419 +29.76 -1.63833 +29.77 -1.52762 +29.78 -1.4109 +29.79 -1.28903 +29.8 -1.16284 +29.81 -1.03319 +29.82 -0.900907 +29.83 -0.766794 +29.84 -0.631644 +29.85 -0.496262 +29.86 -0.361482 +29.87 -0.228035 +29.88 -0.0966341 +29.89 0.0320226 +29.9 0.157249 +29.91 0.278373 +29.92 0.394737 +29.93 0.505701 +29.94 0.610085 +29.95 0.707745 +29.96 0.798194 +29.97 0.880964 +29.98 0.955657 +29.99 1.02196 +30 1.07964 +30.01 1.12858 +30.02 1.1687 +30.03 1.19949 +30.04 1.22192 +30.05 1.23637 +30.06 1.24329 +30.07 1.24325 +30.08 1.23687 +30.09 1.22485 +30.1 1.20788 +30.11 1.18661 +30.12 1.16163 +30.13 1.13385 +30.14 1.1038 +30.15 1.07192 +30.16 1.03851 +30.17 1.00375 +30.18 0.96767 +30.19 0.930174 +30.2 0.890938 +30.21 0.84953 +30.22 0.805566 +30.23 0.758512 +30.24 0.707805 +30.25 0.652884 +30.26 0.593229 +30.27 0.528396 +30.28 0.458053 +30.29 0.381683 +30.3 0.299405 +30.31 0.211634 +30.32 0.118777 +30.33 0.0214471 +30.34 -0.079551 +30.35 -0.183232 +30.36 -0.288455 +30.37 -0.393954 +30.38 -0.49819 +30.39 -0.599678 +30.4 -0.697039 +30.41 -0.788918 +30.42 -0.874054 +30.43 -0.951312 +30.44 -1.01972 +30.45 -1.07849 +30.46 -1.12705 +30.47 -1.16409 +30.48 -1.19038 +30.49 -1.20607 +30.5 -1.21145 +30.51 -1.207 +30.52 -1.19329 +30.53 -1.17102 +30.54 -1.14092 +30.55 -1.10371 +30.56 -1.05977 +30.57 -1.01034 +30.58 -0.956058 +30.59 -0.897421 +30.6 -0.834842 +30.61 -0.768613 +30.62 -0.698925 +30.63 -0.625873 +30.64 -0.54939 +30.65 -0.469329 +30.66 -0.385879 +30.67 -0.299045 +30.68 -0.2089 +30.69 -0.115621 +30.7 -0.0195128 +30.71 0.0789599 +30.72 0.179161 +30.73 0.280265 +30.74 0.381124 +30.75 0.480491 +30.76 0.577013 +30.77 0.66923 +30.78 0.755611 +30.79 0.834604 +30.8 0.904689 +30.81 0.964432 +30.82 1.01179 +30.83 1.04589 +30.84 1.06634 +30.85 1.07267 +30.86 1.06477 +30.87 1.04284 +30.88 1.00751 +30.89 0.959743 +30.9 0.900871 +30.91 0.832002 +30.92 0.755861 +30.93 0.674855 +30.94 0.5914 +30.95 0.508006 +30.96 0.427217 +30.97 0.351525 +30.98 0.283303 +30.99 0.224733 +31 0.178933 +31.01 0.146546 +31.02 0.128696 +31.03 0.126118 +31.04 0.139109 +31.05 0.16752 +31.06 0.21076 +31.07 0.267812 +31.08 0.337405 +31.09 0.418228 +31.1 0.507177 +31.11 0.601863 +31.12 0.699723 +31.13 0.79809 +31.14 0.894262 +31.15 0.985571 +31.16 1.06945 +31.17 1.14313 +31.18 1.20383 +31.19 1.25034 +31.2 1.28113 +31.21 1.29503 +31.22 1.29124 +31.23 1.26933 +31.24 1.22926 +31.25 1.17134 +31.26 1.09549 +31.27 1.00286 +31.28 0.895581 +31.29 0.775224 +31.3 0.643563 +31.31 0.50252 +31.32 0.354121 +31.33 0.200449 +31.34 0.0436012 +31.35 -0.114296 +31.36 -0.271002 +31.37 -0.424615 +31.38 -0.573395 +31.39 -0.715754 +31.4 -0.850274 +31.41 -0.975713 +31.42 -1.09101 +31.43 -1.19527 +31.44 -1.28682 +31.45 -1.36582 +31.46 -1.43206 +31.47 -1.48526 +31.48 -1.52529 +31.49 -1.55207 +31.5 -1.56561 +31.51 -1.56599 +31.52 -1.5533 +31.53 -1.52656 +31.54 -1.48717 +31.55 -1.43536 +31.56 -1.37143 +31.57 -1.29571 +31.58 -1.20862 +31.59 -1.11062 +31.6 -1.0023 +31.61 -0.884204 +31.62 -0.756706 +31.63 -0.621518 +31.64 -0.479773 +31.65 -0.332767 +31.66 -0.181948 +31.67 -0.0289203 +31.68 0.124575 +31.69 0.276674 +31.7 0.425239 +31.71 0.567856 +31.72 0.70269 +31.73 0.827716 +31.74 0.940977 +31.75 1.04064 +31.76 1.12503 +31.77 1.1927 +31.78 1.24245 +31.79 1.27244 +31.8 1.28212 +31.81 1.27221 +31.82 1.24291 +31.83 1.19482 +31.84 1.12887 +31.85 1.04637 +31.86 0.948914 +31.87 0.838369 +31.88 0.716291 +31.89 0.585608 +31.9 0.44904 +31.91 0.309043 +31.92 0.16805 +31.93 0.0284178 +31.94 -0.107637 +31.95 -0.23808 +31.96 -0.361112 +31.97 -0.474385 +31.98 -0.577191 +31.99 -0.668785 +32 -0.74862 +32.01 -0.816458 +32.02 -0.872346 +32.03 -0.916603 +32.04 -0.949775 +32.05 -0.972582 +32.06 -0.985205 +32.07 -0.989586 +32.08 -0.986811 +32.09 -0.977977 +32.1 -0.964158 +32.11 -0.946367 +32.12 -0.925528 +32.13 -0.902456 +32.14 -0.877822 +32.15 -0.85217 +32.16 -0.825993 +32.17 -0.799547 +32.18 -0.772971 +32.19 -0.746301 +32.2 -0.719486 +32.21 -0.692411 +32.22 -0.664914 +32.23 -0.636781 +32.24 -0.607778 +32.25 -0.577762 +32.26 -0.546576 +32.27 -0.514097 +32.28 -0.480235 +32.29 -0.444942 +32.3 -0.408199 +32.31 -0.370022 +32.32 -0.330376 +32.33 -0.289332 +32.34 -0.247001 +32.35 -0.203432 +32.36 -0.158666 +32.37 -0.112726 +32.38 -0.0656177 +32.39 -0.0173356 +32.4 0.0321377 +32.41 0.0829017 +32.42 0.134916 +32.43 0.18813 +32.44 0.242485 +32.45 0.297867 +32.46 0.354093 +32.47 0.410901 +32.48 0.467935 +32.49 0.524741 +32.5 0.580645 +32.51 0.634976 +32.52 0.686976 +32.53 0.7358 +32.54 0.780543 +32.55 0.820267 +32.56 0.854021 +32.57 0.880873 +32.58 0.899896 +32.59 0.909521 +32.6 0.909779 +32.61 0.900164 +32.62 0.88034 +32.63 0.850166 +32.64 0.809713 +32.65 0.759268 +32.66 0.699342 +32.67 0.630496 +32.68 0.553392 +32.69 0.469804 +32.7 0.381049 +32.71 0.288567 +32.72 0.193893 +32.73 0.0986113 +32.74 0.004324 +32.75 -0.0873927 +32.76 -0.174819 +32.77 -0.256286 +32.78 -0.330785 +32.79 -0.397235 +32.8 -0.454745 +32.81 -0.502625 +32.82 -0.540401 +32.83 -0.567811 +32.84 -0.584807 +32.85 -0.591022 +32.86 -0.586995 +32.87 -0.57368 +32.88 -0.551761 +32.89 -0.522038 +32.9 -0.485396 +32.91 -0.442777 +32.92 -0.395156 +32.93 -0.343511 +32.94 -0.288658 +32.95 -0.231742 +32.96 -0.173683 +32.97 -0.115262 +32.98 -0.0571777 +32.99 -4.56003e-05 +33 0.0556027 +33.01 0.109318 +33.02 0.160726 +33.03 0.209283 +33.04 0.25493 +33.05 0.297501 +33.06 0.336848 +33.07 0.372849 +33.08 0.405399 +33.09 0.434408 +33.1 0.459792 +33.11 0.481445 +33.12 0.498997 +33.13 0.512701 +33.14 0.522509 +33.15 0.528394 +33.16 0.530358 +33.17 0.528442 +33.18 0.522734 +33.19 0.513376 +33.2 0.5005 +33.21 0.484277 +33.22 0.465307 +33.23 0.444028 +33.24 0.42095 +33.25 0.396646 +33.26 0.371743 +33.27 0.346909 +33.28 0.322837 +33.29 0.300312 +33.3 0.280127 +33.31 0.262834 +33.32 0.249003 +33.33 0.239112 +33.34 0.233533 +33.35 0.232507 +33.36 0.236131 +33.37 0.244343 +33.38 0.257137 +33.39 0.273974 +33.4 0.294097 +33.41 0.316757 +33.42 0.341068 +33.43 0.366021 +33.44 0.390518 +33.45 0.413391 +33.46 0.433439 +33.47 0.44909 +33.48 0.459268 +33.49 0.462985 +33.5 0.459271 +33.51 0.447299 +33.52 0.426403 +33.53 0.396108 +33.54 0.356139 +33.55 0.306434 +33.56 0.246352 +33.57 0.177103 +33.58 0.0993637 +33.59 0.0139454 +33.6 -0.0781746 +33.61 -0.175876 +33.62 -0.277923 +33.63 -0.382995 +33.64 -0.489715 +33.65 -0.596563 +33.66 -0.702027 +33.67 -0.804756 +33.68 -0.903455 +33.69 -0.996911 +33.7 -1.08401 +33.71 -1.16373 +33.72 -1.23517 +33.73 -1.29728 +33.74 -1.34893 +33.75 -1.39017 +33.76 -1.42055 +33.77 -1.43968 +33.78 -1.44728 +33.79 -1.44312 +33.8 -1.42702 +33.81 -1.39889 +33.82 -1.35815 +33.83 -1.30469 +33.84 -1.23919 +33.85 -1.16177 +33.86 -1.07264 +33.87 -0.97208 +33.88 -0.860483 +33.89 -0.738348 +33.9 -0.606304 +33.91 -0.464652 +33.92 -0.314642 +33.93 -0.157704 +33.94 0.00489026 +33.95 0.171712 +33.96 0.341188 +33.97 0.511612 +33.98 0.681168 +33.99 0.847949 +34 1.0095 +34.01 1.16391 +34.02 1.3093 +34.03 1.44378 +34.04 1.56555 +34.05 1.67295 +34.06 1.76449 +34.07 1.83887 +34.08 1.89506 +34.09 1.9305 +34.1 1.94628 +34.11 1.94227 +34.12 1.91855 +34.13 1.87547 +34.14 1.81364 +34.15 1.73389 +34.16 1.6373 +34.17 1.52494 +34.18 1.39742 +34.19 1.25756 +34.2 1.10702 +34.21 0.947524 +34.22 0.780845 +34.23 0.608758 +34.24 0.433025 +34.25 0.255378 +34.26 0.0775409 +34.27 -0.0986404 +34.28 -0.271634 +34.29 -0.439986 +34.3 -0.602327 +34.31 -0.757375 +34.32 -0.903935 +34.33 -1.0409 +34.34 -1.16728 +34.35 -1.28159 +34.36 -1.3829 +34.37 -1.47109 +34.38 -1.5456 +34.39 -1.60599 +34.4 -1.65195 +34.41 -1.68333 +34.42 -1.7001 +34.43 -1.70242 +34.44 -1.68977 +34.45 -1.66307 +34.46 -1.62345 +34.47 -1.57174 +34.48 -1.50891 +34.49 -1.43607 +34.5 -1.35444 +34.51 -1.26533 +34.52 -1.17013 +34.53 -1.07004 +34.54 -0.966912 +34.55 -0.862251 +34.56 -0.757436 +34.57 -0.653768 +34.58 -0.55245 +34.59 -0.454562 +34.6 -0.361049 +34.61 -0.272702 +34.62 -0.190731 +34.63 -0.1151 +34.64 -0.0460907 +34.65 0.0161556 +34.66 0.071627 +34.67 0.120427 +34.68 0.162752 +34.69 0.198877 +34.7 0.229048 +34.71 0.253317 +34.72 0.272513 +34.73 0.287006 +34.74 0.29715 +34.75 0.303273 +34.76 0.305669 +34.77 0.304604 +34.78 0.300311 +34.79 0.292914 +34.8 0.282538 +34.81 0.269558 +34.82 0.254169 +34.83 0.236587 +34.84 0.217055 +34.85 0.195856 +34.86 0.173311 +34.87 0.149791 +34.88 0.125704 +34.89 0.101564 +34.9 0.0778845 +34.91 0.0551749 +34.92 0.0339462 +34.93 0.0146976 +34.94 -0.00210132 +34.95 -0.0160273 +34.96 -0.0267194 +34.97 -0.033663 +34.98 -0.0367669 +34.99 -0.0360636 +35 -0.0315798 +35.01 -0.0234424 +35.02 -0.0118734 +35.03 0.00282019 +35.04 0.0202602 +35.05 0.0400138 +35.06 0.0617195 +35.07 0.0847366 +35.08 0.108573 +35.09 0.1328 +35.1 0.157042 +35.11 0.180998 +35.12 0.20445 +35.13 0.227276 +35.14 0.249451 +35.15 0.271013 +35.16 0.292207 +35.17 0.313298 +35.18 0.334611 +35.19 0.356515 +35.2 0.379397 +35.21 0.403644 +35.22 0.429611 +35.23 0.457646 +35.24 0.488126 +35.25 0.521013 +35.26 0.556311 +35.27 0.593903 +35.28 0.633546 +35.29 0.67487 +35.3 0.717382 +35.31 0.760479 +35.32 0.803429 +35.33 0.845333 +35.34 0.885359 +35.35 0.922637 +35.36 0.956298 +35.37 0.985499 +35.38 1.00945 +35.39 1.02742 +35.4 1.03881 +35.41 1.04272 +35.42 1.03877 +35.43 1.02708 +35.44 1.00755 +35.45 0.980262 +35.46 0.945421 +35.47 0.903366 +35.48 0.854561 +35.49 0.799578 +35.5 0.738779 +35.51 0.673199 +35.52 0.603811 +35.53 0.531476 +35.54 0.45708 +35.55 0.381514 +35.56 0.305664 +35.57 0.230394 +35.58 0.156536 +35.59 0.0851109 +35.6 0.0167536 +35.61 -0.0479131 +35.62 -0.108313 +35.63 -0.16395 +35.64 -0.214414 +35.65 -0.259382 +35.66 -0.298629 +35.67 -0.332002 +35.68 -0.358974 +35.69 -0.380158 +35.7 -0.395741 +35.71 -0.406009 +35.72 -0.41134 +35.73 -0.412199 +35.74 -0.409132 +35.75 -0.402754 +35.76 -0.393704 +35.77 -0.382682 +35.78 -0.370631 +35.79 -0.358319 +35.8 -0.346511 +35.81 -0.335944 +35.82 -0.327318 +35.83 -0.321271 +35.84 -0.318365 +35.85 -0.319216 +35.86 -0.324312 +35.87 -0.333675 +35.88 -0.347416 +35.89 -0.365524 +35.9 -0.387864 +35.91 -0.414182 +35.92 -0.444116 +35.93 -0.477198 +35.94 -0.512972 +35.95 -0.550701 +35.96 -0.589582 +35.97 -0.628881 +35.98 -0.667846 +35.99 -0.705723 +36 -0.741773 +36.01 -0.775284 +36.02 -0.80559 +36.03 -0.83178 +36.04 -0.853411 +36.05 -0.870111 +36.06 -0.881484 +36.07 -0.887205 +36.08 -0.887025 +36.09 -0.880768 +36.1 -0.868326 +36.11 -0.849661 +36.12 -0.824297 +36.13 -0.792789 +36.14 -0.755364 +36.15 -0.712242 +36.16 -0.663705 +36.17 -0.610092 +36.18 -0.551801 +36.19 -0.489292 +36.2 -0.423066 +36.21 -0.353516 +36.22 -0.281613 +36.23 -0.20807 +36.24 -0.13366 +36.25 -0.0592018 +36.26 0.0144469 +36.27 0.0863982 +36.28 0.15575 +36.29 0.221504 +36.3 0.282472 +36.31 0.338081 +36.32 0.387564 +36.33 0.430242 +36.34 0.465541 +36.35 0.493013 +36.36 0.512353 +36.37 0.523409 +36.38 0.525895 +36.39 0.5199 +36.4 0.506276 +36.41 0.485585 +36.42 0.458547 +36.43 0.426017 +36.44 0.38897 +36.45 0.348475 +36.46 0.305665 +36.47 0.261714 +36.48 0.217944 +36.49 0.175526 +36.5 0.135521 +36.51 0.0988886 +36.52 0.0664661 +36.53 0.0389415 +36.54 0.0168372 +36.55 0.000497058 +36.56 -0.00951411 +36.57 -0.0135274 +36.58 -0.0119343 +36.59 -0.00515757 +36.6 0.00622686 +36.61 0.0215103 +36.62 0.039875 +36.63 0.0604208 +36.64 0.0821929 +36.65 0.104148 +36.66 0.125212 +36.67 0.144448 +36.68 0.160982 +36.69 0.174025 +36.7 0.182887 +36.71 0.186996 +36.72 0.185905 +36.73 0.179252 +36.74 0.166422 +36.75 0.147867 +36.76 0.123699 +36.77 0.0941471 +36.78 0.0595497 +36.79 0.0203398 +36.8 -0.0229672 +36.81 -0.0697874 +36.82 -0.119535 +36.83 -0.17155 +36.84 -0.224933 +36.85 -0.278959 +36.86 -0.332903 +36.87 -0.386044 +36.88 -0.437676 +36.89 -0.487112 +36.9 -0.533693 +36.91 -0.576624 +36.92 -0.615191 +36.93 -0.649033 +36.94 -0.677645 +36.95 -0.700566 +36.96 -0.717387 +36.97 -0.72775 +36.98 -0.731356 +36.99 -0.727969 +37 -0.717014 +37.01 -0.69853 +37.02 -0.672777 +37.03 -0.639836 +37.04 -0.599871 +37.05 -0.553136 +37.06 -0.499974 +37.07 -0.440815 +37.08 -0.376177 +37.09 -0.306364 +37.1 -0.232378 +37.11 -0.155087 +37.12 -0.0753114 +37.13 0.00607752 +37.14 0.0881767 +37.15 0.170064 +37.16 0.250811 +37.17 0.329504 +37.18 0.404926 +37.19 0.476416 +37.2 0.543225 +37.21 0.604665 +37.22 0.660142 +37.23 0.709163 +37.24 0.751349 +37.25 0.786438 +37.26 0.814218 +37.27 0.834174 +37.28 0.847046 +37.29 0.853099 +37.3 0.852715 +37.31 0.846382 +37.32 0.834686 +37.33 0.818295 +37.34 0.797944 +37.35 0.774362 +37.36 0.748377 +37.37 0.721036 +37.38 0.693181 +37.39 0.665633 +37.4 0.639173 +37.41 0.61453 +37.42 0.592363 +37.43 0.573249 +37.44 0.557835 +37.45 0.546565 +37.46 0.5395 +37.47 0.536763 +37.48 0.53836 +37.49 0.544176 +37.5 0.553981 +37.51 0.567432 +37.52 0.584083 +37.53 0.603508 +37.54 0.624934 +37.55 0.647557 +37.56 0.670607 +37.57 0.693272 +37.58 0.714716 +37.59 0.734091 +37.6 0.750558 +37.61 0.763299 +37.62 0.771147 +37.63 0.773563 +37.64 0.769986 +37.65 0.759857 +37.66 0.742705 +37.67 0.718167 +37.68 0.685986 +37.69 0.646027 +37.7 0.598273 +37.71 0.542167 +37.72 0.478649 +37.73 0.408129 +37.74 0.331114 +37.75 0.248225 +37.76 0.160192 +37.77 0.0678409 +37.78 -0.0279159 +37.79 -0.126108 +37.8 -0.225668 +37.81 -0.325316 +37.82 -0.42393 +37.83 -0.520377 +37.84 -0.613539 +37.85 -0.702324 +37.86 -0.785687 +37.87 -0.862646 +37.88 -0.932062 +37.89 -0.992765 +37.9 -1.04455 +37.91 -1.08687 +37.92 -1.1193 +37.93 -1.14154 +37.94 -1.15347 +37.95 -1.15505 +37.96 -1.14644 +37.97 -1.12748 +37.98 -1.0986 +37.99 -1.06081 +38 -1.01477 +38.01 -0.961215 +38.02 -0.900973 +38.03 -0.834927 +38.04 -0.76401 +38.05 -0.68919 +38.06 -0.611337 +38.07 -0.53163 +38.08 -0.451136 +38.09 -0.370807 +38.1 -0.29156 +38.11 -0.214273 +38.12 -0.139775 +38.13 -0.0688442 +38.14 -0.00220069 +38.15 0.0590686 +38.16 0.114608 +38.17 0.163967 +38.18 0.206672 +38.19 0.242309 +38.2 0.270521 +38.21 0.29101 +38.22 0.303536 +38.23 0.307922 +38.24 0.303291 +38.25 0.290358 +38.26 0.269167 +38.27 0.239835 +38.28 0.202559 +38.29 0.157624 +38.3 0.1054 +38.31 0.0463531 +38.32 -0.0190451 +38.33 -0.0904117 +38.34 -0.166505 +38.35 -0.246474 +38.36 -0.329386 +38.37 -0.414238 +38.38 -0.499969 +38.39 -0.585471 +38.4 -0.669607 +38.41 -0.751112 +38.42 -0.828602 +38.43 -0.901131 +38.44 -0.967639 +38.45 -1.02713 +38.46 -1.0787 +38.47 -1.12154 +38.48 -1.15495 +38.49 -1.17837 +38.5 -1.19087 +38.51 -1.19215 +38.52 -1.18258 +38.53 -1.16219 +38.54 -1.13116 +38.55 -1.08978 +38.56 -1.03848 +38.57 -0.977824 +38.58 -0.908444 +38.59 -0.830633 +38.6 -0.745565 +38.61 -0.65436 +38.62 -0.557949 +38.63 -0.457294 +38.64 -0.353376 +38.65 -0.247182 +38.66 -0.139696 +38.67 -0.0318891 +38.68 0.075165 +38.69 0.180508 +38.7 0.283273 +38.71 0.382627 +38.72 0.477787 +38.73 0.568023 +38.74 0.652665 +38.75 0.731109 +38.76 0.802805 +38.77 0.866624 +38.78 0.922823 +38.79 0.971133 +38.8 1.01137 +38.81 1.04346 +38.82 1.06742 +38.83 1.08334 +38.84 1.09146 +38.85 1.09194 +38.86 1.08484 +38.87 1.07121 +38.88 1.05163 +38.89 1.02674 +38.9 0.997233 +38.91 0.963815 +38.92 0.927228 +38.93 0.888205 +38.94 0.847427 +38.95 0.80562 +38.96 0.763488 +38.97 0.721569 +38.98 0.680316 +38.99 0.640085 +39 0.601133 +39.01 0.563612 +39.02 0.527569 +39.03 0.493012 +39.04 0.45976 +39.05 0.427505 +39.06 0.39594 +39.07 0.364713 +39.08 0.333442 +39.09 0.30174 +39.1 0.269234 +39.11 0.235582 +39.12 0.20039 +39.13 0.163482 +39.14 0.124789 +39.15 0.0842985 +39.16 0.0421046 +39.17 -0.00158839 +39.18 -0.0464667 +39.19 -0.0921114 +39.2 -0.138007 +39.21 -0.183467 +39.22 -0.227774 +39.23 -0.270198 +39.24 -0.30997 +39.25 -0.346315 +39.26 -0.378468 +39.27 -0.405696 +39.28 -0.42732 +39.29 -0.442701 +39.3 -0.45071 +39.31 -0.451509 +39.32 -0.444819 +39.33 -0.430485 +39.34 -0.408482 +39.35 -0.378915 +39.36 -0.342018 +39.37 -0.298154 +39.38 -0.247688 +39.39 -0.19098 +39.4 -0.129208 +39.41 -0.063178 +39.42 0.00623689 +39.43 0.0781031 +39.44 0.151444 +39.45 0.225256 +39.46 0.298522 +39.47 0.370132 +39.48 0.43892 +39.49 0.504023 +39.5 0.56453 +39.51 0.619589 +39.52 0.66842 +39.53 0.710326 +39.54 0.744698 +39.55 0.771032 +39.56 0.788477 +39.57 0.796822 +39.58 0.796274 +39.59 0.786818 +39.6 0.768563 +39.61 0.741742 +39.62 0.706709 +39.63 0.663937 +39.64 0.614008 +39.65 0.557231 +39.66 0.494755 +39.67 0.427622 +39.68 0.356782 +39.69 0.283233 +39.7 0.208011 +39.71 0.132167 +39.72 0.0567531 +39.73 -0.0171988 +39.74 -0.0884087 +39.75 -0.156046 +39.76 -0.219285 +39.77 -0.277363 +39.78 -0.329623 +39.79 -0.375525 +39.8 -0.414649 +39.81 -0.446709 +39.82 -0.471505 +39.83 -0.488458 +39.84 -0.498337 +39.85 -0.501418 +39.86 -0.4981 +39.87 -0.488889 +39.88 -0.474392 +39.89 -0.455302 +39.9 -0.432377 +39.91 -0.406386 +39.92 -0.378167 +39.93 -0.348791 +39.94 -0.31912 +39.95 -0.289996 +39.96 -0.262219 +39.97 -0.236538 +39.98 -0.213633 +39.99 -0.194106 +40 -0.178632 +40.01 -0.16773 +40.02 -0.161473 +40.03 -0.160036 +40.04 -0.16349 +40.05 -0.171799 +40.06 -0.184823 +40.07 -0.202328 +40.08 -0.22399 +40.09 -0.249581 +40.1 -0.27851 +40.11 -0.310095 +40.12 -0.343756 +40.13 -0.378885 +40.14 -0.41486 +40.15 -0.451057 +40.16 -0.48686 +40.17 -0.521676 +40.18 -0.554797 +40.19 -0.585726 +40.2 -0.614037 +40.21 -0.639319 +40.22 -0.661219 +40.23 -0.679442 +40.24 -0.693753 +40.25 -0.703977 +40.26 -0.709991 +40.27 -0.711358 +40.28 -0.708399 +40.29 -0.701173 +40.3 -0.689745 +40.31 -0.674211 +40.32 -0.654693 +40.33 -0.631333 +40.34 -0.604288 +40.35 -0.573702 +40.36 -0.539527 +40.37 -0.502248 +40.38 -0.462068 +40.39 -0.4192 +40.4 -0.373866 +40.41 -0.326302 +40.42 -0.276755 +40.43 -0.225493 +40.44 -0.17277 +40.45 -0.118879 +40.46 -0.0642436 +40.47 -0.00921512 +40.48 0.0458333 +40.49 0.100509 +40.5 0.154403 +40.51 0.207091 +40.52 0.258143 +40.53 0.30702 +40.54 0.353208 +40.55 0.396397 +40.56 0.436182 +40.57 0.472184 +40.58 0.504054 +40.59 0.531479 +40.6 0.554189 +40.61 0.571963 +40.62 0.584335 +40.63 0.591286 +40.64 0.592952 +40.65 0.589343 +40.66 0.580526 +40.67 0.566623 +40.68 0.54781 +40.69 0.524313 +40.7 0.496408 +40.71 0.464148 +40.72 0.428148 +40.73 0.388897 +40.74 0.346837 +40.75 0.302439 +40.76 0.256197 +40.77 0.208631 +40.78 0.160276 +40.79 0.111682 +40.8 0.0634868 +40.81 0.0162757 +40.82 -0.0293892 +40.83 -0.072951 +40.84 -0.113867 +40.85 -0.151613 +40.86 -0.185696 +40.87 -0.215657 +40.88 -0.241027 +40.89 -0.261072 +40.9 -0.275882 +40.91 -0.285244 +40.92 -0.289024 +40.93 -0.28717 +40.94 -0.279721 +40.95 -0.266807 +40.96 -0.24865 +40.97 -0.22544 +40.98 -0.197459 +40.99 -0.165523 +41 -0.130202 +41.01 -0.0921265 +41.02 -0.0519709 +41.03 -0.0104436 +41.04 0.0317308 +41.05 0.0738271 +41.06 0.115072 +41.07 0.154702 +41.08 0.192145 +41.09 0.226853 +41.1 0.258355 +41.11 0.286268 +41.12 0.310304 +41.13 0.330275 +41.14 0.346092 +41.15 0.357532 +41.16 0.364832 +41.17 0.368349 +41.18 0.368378 +41.19 0.365282 +41.2 0.359479 +41.21 0.351425 +41.22 0.341606 +41.23 0.330518 +41.24 0.318638 +41.25 0.306535 +41.26 0.29467 +41.27 0.283455 +41.28 0.273254 +41.29 0.26438 +41.3 0.257085 +41.31 0.251564 +41.32 0.247946 +41.33 0.246479 +41.34 0.246988 +41.35 0.249406 +41.36 0.253613 +41.37 0.259442 +41.38 0.266679 +41.39 0.27507 +41.4 0.284325 +41.41 0.294125 +41.42 0.304101 +41.43 0.313845 +41.44 0.322978 +41.45 0.331115 +41.46 0.337869 +41.47 0.342864 +41.48 0.345738 +41.49 0.346153 +41.5 0.343711 +41.51 0.338017 +41.52 0.329041 +41.53 0.316634 +41.54 0.300714 +41.55 0.281271 +41.56 0.258377 +41.57 0.232185 +41.58 0.202935 +41.59 0.17085 +41.6 0.136398 +41.61 0.100213 +41.62 0.062876 +41.63 0.0250238 +41.64 -0.0126586 +41.65 -0.0494556 +41.66 -0.0846376 +41.67 -0.117481 +41.68 -0.147059 +41.69 -0.172745 +41.7 -0.194067 +41.71 -0.210544 +41.72 -0.221799 +41.73 -0.227576 +41.74 -0.22775 +41.75 -0.222332 +41.76 -0.211478 +41.77 -0.195122 +41.78 -0.174073 +41.79 -0.149001 +41.8 -0.120608 +41.81 -0.0896913 +41.82 -0.0571235 +41.83 -0.0238307 +41.84 0.00923154 +41.85 0.0411021 +41.86 0.0705603 +41.87 0.0968467 +41.88 0.119149 +41.89 0.136747 +41.9 0.149028 +41.91 0.155499 +41.92 0.155802 +41.93 0.149713 +41.94 0.137047 +41.95 0.11749 +41.96 0.091754 +41.97 0.0601787 +41.98 0.023212 +41.99 -0.0186025 +42 -0.0646416 +42.01 -0.114219 +42.02 -0.166604 +42.03 -0.221074 +42.04 -0.276809 +42.05 -0.332925 +42.06 -0.388684 +42.07 -0.443377 +42.08 -0.496346 +42.09 -0.54698 +42.1 -0.594733 +42.11 -0.639119 +42.12 -0.679525 +42.13 -0.715575 +42.14 -0.747175 +42.15 -0.774122 +42.16 -0.796275 +42.17 -0.81355 +42.18 -0.82592 +42.19 -0.833402 +42.2 -0.836063 +42.21 -0.833717 +42.22 -0.826684 +42.23 -0.815276 +42.24 -0.799696 +42.25 -0.780166 +42.26 -0.756927 +42.27 -0.730232 +42.28 -0.700348 +42.29 -0.667549 +42.3 -0.631927 +42.31 -0.593964 +42.32 -0.553979 +42.33 -0.512255 +42.34 -0.469071 +42.35 -0.424706 +42.36 -0.379434 +42.37 -0.333525 +42.38 -0.287245 +42.39 -0.240872 +42.4 -0.194696 +42.41 -0.148975 +42.42 -0.103966 +42.43 -0.059924 +42.44 -0.0171049 +42.45 0.0242371 +42.46 0.0638493 +42.47 0.101442 +42.48 0.136621 +42.49 0.169303 +42.5 0.19927 +42.51 0.226318 +42.52 0.250271 +42.53 0.270979 +42.54 0.288328 +42.55 0.302247 +42.56 0.312594 +42.57 0.319323 +42.58 0.322735 +42.59 0.322988 +42.6 0.320303 +42.61 0.314965 +42.62 0.307314 +42.63 0.297751 +42.64 0.286721 +42.65 0.274692 +42.66 0.262255 +42.67 0.249991 +42.68 0.238442 +42.69 0.228141 +42.7 0.219595 +42.71 0.21327 +42.72 0.209581 +42.73 0.208875 +42.74 0.211649 +42.75 0.217968 +42.76 0.227815 +42.77 0.241164 +42.78 0.257889 +42.79 0.277772 +42.8 0.300502 +42.81 0.325687 +42.82 0.352862 +42.83 0.381574 +42.84 0.411093 +42.85 0.440798 +42.86 0.470069 +42.87 0.498294 +42.88 0.52488 +42.89 0.549266 +42.9 0.57094 +42.91 0.589431 +42.92 0.604029 +42.93 0.61472 +42.94 0.621289 +42.95 0.623599 +42.96 0.621593 +42.97 0.615287 +42.98 0.60477 +42.99 0.590192 +43 0.571683 +43.01 0.549342 +43.02 0.523734 +43.03 0.495176 +43.04 0.463994 +43.05 0.430522 +43.06 0.395086 +43.07 0.358 +43.08 0.319562 +43.09 0.280014 +43.1 0.239612 +43.11 0.198626 +43.12 0.157237 +43.13 0.115598 +43.14 0.0738367 +43.15 0.0320559 +43.16 -0.00965953 +43.17 -0.0512394 +43.18 -0.0926098 +43.19 -0.133709 +43.2 -0.174485 +43.21 -0.214868 +43.22 -0.254775 +43.23 -0.294102 +43.24 -0.332721 +43.25 -0.370477 +43.26 -0.407185 +43.27 -0.442519 +43.28 -0.476252 +43.29 -0.50812 +43.3 -0.537795 +43.31 -0.564921 +43.32 -0.589116 +43.33 -0.609982 +43.34 -0.627108 +43.35 -0.640078 +43.36 -0.64807 +43.37 -0.651007 +43.38 -0.648575 +43.39 -0.640465 +43.4 -0.626422 +43.41 -0.60626 +43.42 -0.579871 +43.43 -0.547236 +43.44 -0.508391 +43.45 -0.463079 +43.46 -0.412141 +43.47 -0.356008 +43.48 -0.295217 +43.49 -0.230415 +43.5 -0.162344 +43.51 -0.09184 +43.52 -0.0198101 +43.53 0.0527629 +43.54 0.124732 +43.55 0.195029 +43.56 0.262617 +43.57 0.326485 +43.58 0.385664 +43.59 0.439256 +43.6 0.486445 +43.61 0.526522 +43.62 0.558578 +43.63 0.581995 +43.64 0.596909 +43.65 0.603188 +43.66 0.600849 +43.67 0.590062 +43.68 0.57114 +43.69 0.544532 +43.7 0.510814 +43.71 0.470367 +43.72 0.424183 +43.73 0.37338 +43.74 0.318889 +43.75 0.261681 +43.76 0.202744 +43.77 0.143066 +43.78 0.0836188 +43.79 0.0253428 +43.8 -0.0306645 +43.81 -0.0835952 +43.82 -0.132751 +43.83 -0.177464 +43.84 -0.217157 +43.85 -0.251341 +43.86 -0.279624 +43.87 -0.301708 +43.88 -0.317395 +43.89 -0.326022 +43.9 -0.328114 +43.91 -0.323819 +43.92 -0.313335 +43.93 -0.296941 +43.94 -0.275001 +43.95 -0.247953 +43.96 -0.216308 +43.97 -0.180607 +43.98 -0.141299 +43.99 -0.0993988 +44 -0.0556342 +44.01 -0.0107597 +44.02 0.0344534 +44.03 0.0792283 +44.04 0.122795 +44.05 0.164403 +44.06 0.203246 +44.07 0.238442 +44.08 0.269572 +44.09 0.296103 +44.1 0.317578 +44.11 0.333631 +44.12 0.343988 +44.13 0.348471 +44.14 0.347006 +44.15 0.339377 +44.16 0.325672 +44.17 0.306426 +44.18 0.281956 +44.19 0.252652 +44.2 0.218964 +44.21 0.181397 +44.22 0.140492 +44.23 0.096818 +44.24 0.0508647 +44.25 0.00332636 +44.26 -0.0451542 +44.27 -0.0940319 +44.28 -0.142792 +44.29 -0.190957 +44.3 -0.238088 +44.31 -0.283793 +44.32 -0.32772 +44.33 -0.369394 +44.34 -0.408639 +44.35 -0.44528 +44.36 -0.479132 +44.37 -0.510038 +44.38 -0.537869 +44.39 -0.562514 +44.4 -0.583879 +44.41 -0.601888 +44.42 -0.616165 +44.43 -0.626944 +44.44 -0.634197 +44.45 -0.637898 +44.46 -0.638035 +44.47 -0.634612 +44.48 -0.627652 +44.49 -0.617203 +44.5 -0.603297 +44.51 -0.585815 +44.52 -0.565165 +44.53 -0.541507 +44.54 -0.51503 +44.55 -0.485949 +44.56 -0.454502 +44.57 -0.420945 +44.58 -0.385549 +44.59 -0.348563 +44.6 -0.310255 +44.61 -0.271006 +44.62 -0.231089 +44.63 -0.190762 +44.64 -0.150268 +44.65 -0.109825 +44.66 -0.0696294 +44.67 -0.0298511 +44.68 0.00933451 +44.69 0.0477898 +44.7 0.0854478 +44.71 0.12223 +44.72 0.15807 +44.73 0.192912 +44.74 0.226701 +44.75 0.259382 +44.76 0.290893 +44.77 0.321086 +44.78 0.349896 +44.79 0.377264 +44.8 0.403072 +44.81 0.427186 +44.82 0.44946 +44.83 0.469737 +44.84 0.487851 +44.85 0.503636 +44.86 0.516727 +44.87 0.527095 +44.88 0.534642 +44.89 0.539244 +44.9 0.540803 +44.91 0.539246 +44.92 0.534531 +44.93 0.52665 +44.94 0.515629 +44.95 0.50126 +44.96 0.483928 +44.97 0.463776 +44.98 0.440978 +44.99 0.415736 +45 0.388282 +45.01 0.358872 +45.02 0.327785 +45.03 0.295309 +45.04 0.261728 +45.05 0.227483 +45.06 0.192925 +45.07 0.158413 +45.08 0.124316 +45.09 0.0910079 +45.1 0.0588636 +45.11 0.0282578 +45.12 -0.000371337 +45.13 -0.0265513 +45.14 -0.0500643 +45.15 -0.0705927 +45.16 -0.0878486 +45.17 -0.101581 +45.18 -0.111582 +45.19 -0.117696 +45.2 -0.119826 +45.21 -0.117761 +45.22 -0.11155 +45.23 -0.101517 +45.24 -0.0878751 +45.25 -0.0709183 +45.26 -0.0510191 +45.27 -0.0286242 +45.28 -0.0042486 +45.29 0.0215332 +45.3 0.0481047 +45.31 0.0747079 +45.32 0.10064 +45.33 0.125218 +45.34 0.147779 +45.35 0.167692 +45.36 0.184376 +45.37 0.197319 +45.38 0.20609 +45.39 0.209982 +45.4 0.209037 +45.41 0.203228 +45.42 0.192572 +45.43 0.177202 +45.44 0.157363 +45.45 0.133404 +45.46 0.10577 +45.47 0.074985 +45.48 0.0414742 +45.49 0.00617465 +45.5 -0.0302267 +45.51 -0.0670308 +45.52 -0.103545 +45.53 -0.139099 +45.54 -0.173062 +45.55 -0.204857 +45.56 -0.233918 +45.57 -0.259586 +45.58 -0.281734 +45.59 -0.300114 +45.6 -0.314567 +45.61 -0.325019 +45.62 -0.331483 +45.63 -0.334046 +45.64 -0.332869 +45.65 -0.32807 +45.66 -0.319869 +45.67 -0.308801 +45.68 -0.295219 +45.69 -0.279495 +45.7 -0.262012 +45.71 -0.243151 +45.72 -0.223284 +45.73 -0.202769 +45.74 -0.181942 +45.75 -0.161148 +45.76 -0.140667 +45.77 -0.120735 +45.78 -0.101549 +45.79 -0.0832705 +45.8 -0.0660207 +45.81 -0.0498848 +45.82 -0.0349112 +45.83 -0.0211869 +45.84 -0.00864494 +45.85 0.00280404 +45.86 0.0132417 +45.87 0.022772 +45.88 0.0315174 +45.89 0.0396138 +45.9 0.0472066 +45.91 0.0544449 +45.92 0.0614713 +45.93 0.0684516 +45.94 0.0755133 +45.95 0.0827628 +45.96 0.0902828 +45.97 0.0981289 +45.98 0.106325 +45.99 0.114863 +46 0.123699 +46.01 0.132763 +46.02 0.141906 +46.03 0.150979 +46.04 0.159802 +46.05 0.168176 +46.06 0.175886 +46.07 0.182709 +46.08 0.188423 +46.09 0.192782 +46.1 0.195488 +46.11 0.196474 +46.12 0.195606 +46.13 0.192793 +46.14 0.187985 +46.15 0.181185 +46.16 0.172441 +46.17 0.161856 +46.18 0.149526 +46.19 0.135638 +46.2 0.120529 +46.21 0.104469 +46.22 0.0877522 +46.23 0.0706828 +46.24 0.0535697 +46.25 0.0367146 +46.26 0.0204028 +46.27 0.00494678 +46.28 -0.00941104 +46.29 -0.0225293 +46.3 -0.0342781 +46.31 -0.0445772 +46.32 -0.0533972 +46.33 -0.0607596 +46.34 -0.066734 +46.35 -0.0714355 +46.36 -0.0749574 +46.37 -0.0775567 +46.38 -0.0794821 +46.39 -0.08097 +46.4 -0.0822661 +46.41 -0.0836165 +46.42 -0.0852609 +46.43 -0.0874252 +46.44 -0.0903151 +46.45 -0.0941979 +46.46 -0.0991669 +46.47 -0.105321 +46.48 -0.112734 +46.49 -0.121439 +46.5 -0.131435 +46.51 -0.142682 +46.52 -0.155103 +46.53 -0.168593 +46.54 -0.183067 +46.55 -0.198254 +46.56 -0.213948 +46.57 -0.229917 +46.58 -0.245911 +46.59 -0.261659 +46.6 -0.276877 +46.61 -0.291271 +46.62 -0.304509 +46.63 -0.316181 +46.64 -0.326069 +46.65 -0.33388 +46.66 -0.339332 +46.67 -0.342165 +46.68 -0.342141 +46.69 -0.339054 +46.7 -0.332733 +46.71 -0.322922 +46.72 -0.309475 +46.73 -0.292562 +46.74 -0.272223 +46.75 -0.248557 +46.76 -0.221722 +46.77 -0.191937 +46.78 -0.159478 +46.79 -0.124676 +46.8 -0.0878303 +46.81 -0.0494458 +46.82 -0.0100645 +46.83 0.0298228 +46.84 0.0697107 +46.85 0.109089 +46.86 0.147454 +46.87 0.184318 +46.88 0.219217 +46.89 0.251534 +46.9 0.280959 +46.91 0.307226 +46.92 0.330069 +46.93 0.349279 +46.94 0.364705 +46.95 0.37626 +46.96 0.383911 +46.97 0.387685 +46.98 0.387344 +46.99 0.383319 +47 0.37581 +47.01 0.36502 +47.02 0.351181 +47.03 0.334546 +47.04 0.315383 +47.05 0.293973 +47.06 0.270592 +47.07 0.245437 +47.08 0.218965 +47.09 0.191474 +47.1 0.163261 +47.11 0.134623 +47.12 0.105853 +47.13 0.0772445 +47.14 0.0490862 +47.15 0.0216876 +47.16 -0.0045968 +47.17 -0.029552 +47.18 -0.0529221 +47.19 -0.074467 +47.2 -0.0939675 +47.21 -0.11123 +47.22 -0.126091 +47.23 -0.138422 +47.24 -0.14803 +47.25 -0.154837 +47.26 -0.158997 +47.27 -0.160575 +47.28 -0.159685 +47.29 -0.156493 +47.3 -0.151209 +47.31 -0.144085 +47.32 -0.135409 +47.33 -0.125449 +47.34 -0.114604 +47.35 -0.103264 +47.36 -0.0917705 +47.37 -0.0804533 +47.38 -0.0696163 +47.39 -0.0595295 +47.4 -0.0504205 +47.41 -0.0424672 +47.42 -0.0358874 +47.43 -0.0306792 +47.44 -0.0268043 +47.45 -0.0241938 +47.46 -0.0227232 +47.47 -0.0222182 +47.48 -0.0224623 +47.49 -0.0232048 +47.5 -0.0241713 +47.51 -0.0250434 +47.52 -0.0255136 +47.53 -0.0253057 +47.54 -0.0241645 +47.55 -0.0218664 +47.56 -0.0182265 +47.57 -0.0131054 +47.58 -0.00641376 +47.59 0.00190075 +47.6 0.0119286 +47.61 0.0234554 +47.62 0.0363503 +47.63 0.0504381 +47.64 0.0655058 +47.65 0.0813089 +47.66 0.0975795 +47.67 0.114034 +47.68 0.130371 +47.69 0.146254 +47.7 0.161413 +47.71 0.175586 +47.72 0.188534 +47.73 0.200045 +47.74 0.209938 +47.75 0.218066 +47.76 0.224318 +47.77 0.228537 +47.78 0.230665 +47.79 0.230808 +47.8 0.229003 +47.81 0.225322 +47.82 0.219863 +47.83 0.212752 +47.84 0.204136 +47.85 0.194184 +47.86 0.183023 +47.87 0.170899 +47.88 0.15806 +47.89 0.144715 +47.9 0.131077 +47.91 0.117352 +47.92 0.103741 +47.93 0.090434 +47.94 0.0776056 +47.95 0.0654688 +47.96 0.0541331 +47.97 0.0436901 +47.98 0.0342164 +47.99 0.0257592 +48 0.018336 +48.01 0.0119341 +48.02 0.00651163 +48.03 0.00199949 +48.04 -0.00163366 +48.05 -0.0045843 +48.06 -0.00698887 +48.07 -0.00899066 +48.08 -0.0107366 +48.09 -0.0123713 +48.1 -0.0140306 +48.11 -0.0158361 +48.12 -0.0178933 +48.13 -0.020306 +48.14 -0.0230946 +48.15 -0.0262696 +48.16 -0.0298092 +48.17 -0.0336606 +48.18 -0.0377418 +48.19 -0.0419457 +48.2 -0.0461447 +48.21 -0.0501882 +48.22 -0.0538998 +48.23 -0.0571433 +48.24 -0.0597824 +48.25 -0.0616994 +48.26 -0.0628025 +48.27 -0.0630324 +48.28 -0.0623673 +48.29 -0.0608275 +48.3 -0.0584464 +48.31 -0.0553489 +48.32 -0.0517353 +48.33 -0.0478062 +48.34 -0.0437957 +48.35 -0.0399644 +48.36 -0.0365918 +48.37 -0.0339669 +48.38 -0.0323788 +48.39 -0.0322011 +48.4 -0.0336824 +48.41 -0.037001 +48.42 -0.0423397 +48.43 -0.0498356 +48.44 -0.0595741 +48.45 -0.0715861 +48.46 -0.0858455 +48.47 -0.102269 +48.48 -0.120857 +48.49 -0.141274 +48.5 -0.163238 +48.51 -0.186462 +48.52 -0.210625 +48.53 -0.23538 +48.54 -0.260365 +48.55 -0.285206 +48.56 -0.309528 +48.57 -0.332847 +48.58 -0.35486 +48.59 -0.375233 +48.6 -0.393653 +48.61 -0.409834 +48.62 -0.42352 +48.63 -0.434485 +48.64 -0.442538 +48.65 -0.447472 +48.66 -0.448951 +48.67 -0.44713 +48.68 -0.441956 +48.69 -0.433409 +48.7 -0.4215 +48.71 -0.40627 +48.72 -0.387794 +48.73 -0.366173 +48.74 -0.341457 +48.75 -0.313742 +48.76 -0.283414 +48.77 -0.250702 +48.78 -0.215864 +48.79 -0.179184 +48.8 -0.140968 +48.81 -0.101546 +48.82 -0.0612646 +48.83 -0.0204779 +48.84 0.0203966 +48.85 0.0609645 +48.86 0.100855 +48.87 0.139705 +48.88 0.177168 +48.89 0.212915 +48.9 0.246642 +48.91 0.278075 +48.92 0.306802 +48.93 0.332683 +48.94 0.355638 +48.95 0.37555 +48.96 0.392341 +48.97 0.405969 +48.98 0.416433 +48.99 0.423761 +49 0.428013 +49.01 0.429052 +49.02 0.427187 +49.03 0.422593 +49.04 0.415411 +49.05 0.405795 +49.06 0.393902 +49.07 0.379895 +49.08 0.363938 +49.09 0.346195 +49.1 0.326699 +49.11 0.305774 +49.12 0.283586 +49.13 0.2603 +49.14 0.236084 +49.15 0.21111 +49.16 0.185553 +49.17 0.159594 +49.18 0.133421 +49.19 0.107245 +49.2 0.0812782 +49.21 0.0557246 +49.22 0.0307892 +49.23 0.00667768 +49.24 -0.0164064 +49.25 -0.0382643 +49.26 -0.0587051 +49.27 -0.0774903 +49.28 -0.0943889 +49.29 -0.109352 +49.3 -0.122252 +49.31 -0.132984 +49.32 -0.141466 +49.33 -0.14764 +49.34 -0.151472 +49.35 -0.152951 +49.36 -0.151982 +49.37 -0.148622 +49.38 -0.143041 +49.39 -0.135328 +49.4 -0.125592 +49.41 -0.113963 +49.42 -0.10059 +49.43 -0.0856403 +49.44 -0.0692987 +49.45 -0.0517048 +49.46 -0.033146 +49.47 -0.013893 +49.48 0.00580136 +49.49 0.0256704 +49.5 0.0454351 +49.51 0.0648062 +49.52 0.083487 +49.53 0.101176 +49.54 0.117446 +49.55 0.132061 +49.56 0.144755 +49.57 0.155262 +49.58 0.163342 +49.59 0.168784 +49.6 0.171415 +49.61 0.171106 +49.62 0.167766 +49.63 0.161115 +49.64 0.151469 +49.65 0.138938 +49.66 0.123693 +49.67 0.105967 +49.68 0.0860513 +49.69 0.0642896 +49.7 0.0410747 +49.71 0.0168285 +49.72 -0.00796439 +49.73 -0.0327481 +49.74 -0.0570301 +49.75 -0.0803229 +49.76 -0.102156 +49.77 -0.122086 +49.78 -0.13971 +49.79 -0.154669 +49.8 -0.166552 +49.81 -0.175027 +49.82 -0.180112 +49.83 -0.181722 +49.84 -0.179843 +49.85 -0.174528 +49.86 -0.165899 +49.87 -0.154139 +49.88 -0.139485 +49.89 -0.122109 +49.9 -0.102407 +49.91 -0.0808508 +49.92 -0.0578284 +49.93 -0.0337403 +49.94 -0.00899224 +49.95 0.0160118 +49.96 0.0408769 +49.97 0.0652227 +49.98 0.0886073 +49.99 0.1107 +50 0.131223 +50.01 0.149906 +50.02 0.166512 +50.03 0.180839 +50.04 0.19272 +50.05 0.202025 +50.06 0.208662 +50.07 0.21235 +50.08 0.213275 +50.09 0.211496 +50.1 0.207082 +50.11 0.200142 +50.12 0.190822 +50.13 0.179307 +50.14 0.165814 +50.15 0.150588 +50.16 0.133824 +50.17 0.115983 +50.18 0.0973978 +50.19 0.0784172 +50.2 0.0593974 +50.21 0.0406953 +50.22 0.0226603 +50.23 0.00562688 +50.24 -0.0100588 +50.25 -0.0240132 +50.26 -0.0361009 +50.27 -0.0461377 +50.28 -0.0539914 +50.29 -0.0595858 +50.3 -0.0629035 +50.31 -0.0639864 +50.32 -0.0629352 +50.33 -0.0598406 +50.34 -0.0549115 +50.35 -0.0485198 +50.36 -0.0409669 +50.37 -0.0325832 +50.38 -0.0237183 +50.39 -0.0147318 +50.4 -0.00598374 +50.41 0.00217524 +50.42 0.00934647 +50.43 0.015205 +50.44 0.0195245 +50.45 0.0220812 +50.46 0.0226964 +50.47 0.0212381 +50.48 0.0176227 +50.49 0.0118146 +50.5 0.00382467 +50.51 -0.0064327 +50.52 -0.0187498 +50.53 -0.0329386 +50.54 -0.0488307 +50.55 -0.0662324 +50.56 -0.0849301 +50.57 -0.104695 +50.58 -0.125289 +50.59 -0.146464 +50.6 -0.167981 +50.61 -0.189544 +50.62 -0.210907 +50.63 -0.231832 +50.64 -0.252088 +50.65 -0.271454 +50.66 -0.289719 +50.67 -0.306685 +50.68 -0.322154 +50.69 -0.335815 +50.7 -0.347648 +50.71 -0.357524 +50.72 -0.365335 +50.73 -0.370999 +50.74 -0.374455 +50.75 -0.375672 +50.76 -0.374648 +50.77 -0.371354 +50.78 -0.36576 +50.79 -0.358108 +50.8 -0.348516 +50.81 -0.337125 +50.82 -0.324101 +50.83 -0.309626 +50.84 -0.293895 +50.85 -0.277113 +50.86 -0.25946 +50.87 -0.241155 +50.88 -0.222433 +50.89 -0.20347 +50.9 -0.184422 +50.91 -0.165424 +50.92 -0.146582 +50.93 -0.127975 +50.94 -0.109653 +50.95 -0.0916585 +50.96 -0.073979 +50.97 -0.0565752 +50.98 -0.0394017 +50.99 -0.0224016 +51 -0.00551164 +51.01 0.011332 +51.02 0.0281884 +51.03 0.0451066 +51.04 0.0621295 +51.05 0.0792675 +51.06 0.0965096 +51.07 0.113825 +51.08 0.131162 +51.09 0.148449 +51.1 0.165596 +51.11 0.182501 +51.12 0.199053 +51.13 0.215086 +51.14 0.230515 +51.15 0.245241 +51.16 0.25917 +51.17 0.27223 +51.18 0.284365 +51.19 0.295543 +51.2 0.305755 +51.21 0.315001 +51.22 0.323254 +51.23 0.330642 +51.24 0.337227 +51.25 0.343078 +51.26 0.348259 +51.27 0.352832 +51.28 0.356844 +51.29 0.360322 +51.3 0.363258 +51.31 0.365604 +51.32 0.367335 +51.33 0.368364 +51.34 0.368575 +51.35 0.367824 +51.36 0.365948 +51.37 0.362767 +51.38 0.358091 +51.39 0.351652 +51.4 0.343232 +51.41 0.332757 +51.42 0.320095 +51.43 0.305149 +51.44 0.287865 +51.45 0.268235 +51.46 0.246307 +51.47 0.222183 +51.48 0.195914 +51.49 0.167792 +51.5 0.138164 +51.51 0.107352 +51.52 0.0757151 +51.53 0.0436477 +51.54 0.0115646 +51.55 -0.0201056 +51.56 -0.0509313 +51.57 -0.0803628 +51.58 -0.108026 +51.59 -0.133568 +51.6 -0.15665 +51.61 -0.176972 +51.62 -0.194285 +51.63 -0.208392 +51.64 -0.219149 +51.65 -0.226474 +51.66 -0.23003 +51.67 -0.23016 +51.68 -0.226971 +51.69 -0.220612 +51.7 -0.211278 +51.71 -0.199209 +51.72 -0.184682 +51.73 -0.168007 +51.74 -0.149503 +51.75 -0.129469 +51.76 -0.108421 +51.77 -0.0867437 +51.78 -0.0648237 +51.79 -0.0430431 +51.8 -0.0217752 +51.81 -0.0013775 +51.82 0.0178125 +51.83 0.0354312 +51.84 0.0511075 +51.85 0.0647041 +51.86 0.0760248 +51.87 0.0849169 +51.88 0.091274 +51.89 0.0950376 +51.9 0.0961986 +51.91 0.0947965 +51.92 0.0908149 +51.93 0.0844019 +51.94 0.0758606 +51.95 0.0654131 +51.96 0.0533135 +51.97 0.0398412 +51.98 0.0252942 +51.99 0.00998201 +52 -0.00578204 +52.01 -0.021678 +52.02 -0.0373722 +52.03 -0.0525848 +52.04 -0.0670643 +52.05 -0.0805892 +52.06 -0.0929711 +52.07 -0.104058 +52.08 -0.113733 +52.09 -0.12192 +52.1 -0.128459 +52.11 -0.133435 +52.12 -0.136902 +52.13 -0.138912 +52.14 -0.139538 +52.15 -0.138866 +52.16 -0.136995 +52.17 -0.134029 +52.18 -0.130072 +52.19 -0.125155 +52.2 -0.119464 +52.21 -0.113088 +52.22 -0.106109 +52.23 -0.0986005 +52.24 -0.0906307 +52.25 -0.0822619 +52.26 -0.073554 +52.27 -0.0645637 +52.28 -0.055347 +52.29 -0.0459939 +52.3 -0.0365816 +52.31 -0.0271968 +52.32 -0.0179366 +52.33 -0.00890868 +52.34 -0.000230278 +52.35 0.00797325 +52.36 0.0155477 +52.37 0.0223224 +52.38 0.0282047 +52.39 0.0330707 +52.4 0.0368076 +52.41 0.0393182 +52.42 0.040525 +52.43 0.0403735 +52.44 0.0388351 +52.45 0.0358453 +52.46 0.0314415 +52.47 0.0257501 +52.48 0.0188615 +52.49 0.0108908 +52.5 0.00197475 +52.51 -0.0077326 +52.52 -0.018064 +52.53 -0.0288441 +52.54 -0.0398995 +52.55 -0.0510259 +52.56 -0.0620466 +52.57 -0.0728036 +52.58 -0.0831524 +52.59 -0.092965 +52.6 -0.10213 +52.61 -0.110556 +52.62 -0.118167 +52.63 -0.124832 +52.64 -0.130563 +52.65 -0.135343 +52.66 -0.139154 +52.67 -0.141984 +52.68 -0.143827 +52.69 -0.14468 +52.7 -0.144542 +52.71 -0.143409 +52.72 -0.141194 +52.73 -0.137989 +52.74 -0.133798 +52.75 -0.128628 +52.76 -0.122496 +52.77 -0.115426 +52.78 -0.107453 +52.79 -0.0986278 +52.8 -0.089002 +52.81 -0.0786291 +52.82 -0.067672 +52.83 -0.056253 +52.84 -0.0445113 +52.85 -0.0326001 +52.86 -0.0206841 +52.87 -0.00893533 +52.88 0.00247108 +52.89 0.0133392 +52.9 0.0234683 +52.91 0.0327416 +52.92 0.0410298 +52.93 0.0482275 +52.94 0.0542573 +52.95 0.0590727 +52.96 0.0626595 +52.97 0.0650373 +52.98 0.0662058 +52.99 0.0662695 +53 0.0653956 +53.01 0.0637244 +53.02 0.0614144 +53.03 0.0586358 +53.04 0.0555652 +53.05 0.052379 +53.06 0.0492476 +53.07 0.0463526 +53.08 0.0438397 +53.09 0.0418172 +53.1 0.0403752 +53.11 0.0395766 +53.12 0.0394566 +53.13 0.0400234 +53.14 0.0412592 +53.15 0.0431224 +53.16 0.0455908 +53.17 0.0485375 +53.18 0.051863 +53.19 0.0554672 +53.2 0.059247 +53.21 0.0631007 +53.22 0.0669312 +53.23 0.0706489 +53.24 0.0741734 +53.25 0.07741 +53.26 0.0803246 +53.27 0.082878 +53.28 0.0850434 +53.29 0.0868051 +53.3 0.0881577 +53.31 0.0891036 +53.32 0.0896525 +53.33 0.0898113 +53.34 0.0895811 +53.35 0.0890102 +53.36 0.0881202 +53.37 0.0869339 +53.38 0.0854746 +53.39 0.0837669 +53.4 0.0818369 +53.41 0.0797129 +53.42 0.0774224 +53.43 0.0750036 +53.44 0.0725076 +53.45 0.0699823 +53.46 0.0674814 +53.47 0.065064 +53.48 0.0627943 +53.49 0.0607401 +53.5 0.0589716 +53.51 0.0575811 +53.52 0.056641 +53.53 0.0561986 +53.54 0.0563087 +53.55 0.0570156 +53.56 0.0583509 +53.57 0.0603314 +53.58 0.0629574 +53.59 0.0662115 +53.6 0.0700942 +53.61 0.0745177 +53.62 0.0793914 +53.63 0.0846227 +53.64 0.0901047 +53.65 0.0957178 +53.66 0.101333 +53.67 0.106814 +53.68 0.112021 +53.69 0.116767 +53.7 0.120932 +53.71 0.124386 +53.72 0.127005 +53.73 0.128672 +53.74 0.129283 +53.75 0.128746 +53.76 0.126983 +53.77 0.123919 +53.78 0.119396 +53.79 0.113495 +53.8 0.106198 +53.81 0.097505 +53.82 0.0874293 +53.83 0.0760008 +53.84 0.0632649 +53.85 0.0492834 +53.86 0.034111 +53.87 0.017805 +53.88 0.000564626 +53.89 -0.0174734 +53.9 -0.0361534 +53.91 -0.0553011 +53.92 -0.0747241 +53.93 -0.0942128 +53.94 -0.113542 +53.95 -0.132448 +53.96 -0.150641 +53.97 -0.167887 +53.98 -0.183929 +53.99 -0.198511 +54 -0.211388 +54.01 -0.222328 +54.02 -0.23112 +54.03 -0.237576 +54.04 -0.241399 +54.05 -0.242501 +54.06 -0.240906 +54.07 -0.236588 +54.08 -0.229567 +54.09 -0.219912 +54.1 -0.207736 +54.11 -0.1932 +54.12 -0.17651 +54.13 -0.157797 +54.14 -0.137466 +54.15 -0.115877 +54.16 -0.0933716 +54.17 -0.0703059 +54.18 -0.0470461 +54.19 -0.0239597 +54.2 -0.00140926 +54.21 0.020255 +54.22 0.0405708 +54.23 0.0593061 +54.24 0.0762001 +54.25 0.0910187 +54.26 0.103567 +54.27 0.113691 +54.28 0.121279 +54.29 0.126266 +54.3 0.128604 +54.31 0.128126 +54.32 0.125122 +54.33 0.119704 +54.34 0.112018 +54.35 0.102245 +54.36 0.0905931 +54.37 0.0772989 +54.38 0.0626185 +54.39 0.046805 +54.4 0.0301399 +54.41 0.0129882 +54.42 -0.00435681 +54.43 -0.0216069 +54.44 -0.0384832 +54.45 -0.0547218 +54.46 -0.0700777 +54.47 -0.08433 +54.48 -0.097226 +54.49 -0.108572 +54.5 -0.118316 +54.51 -0.126375 +54.52 -0.132706 +54.53 -0.1373 +54.54 -0.140187 +54.55 -0.141434 +54.56 -0.141139 +54.57 -0.139358 +54.58 -0.136293 +54.59 -0.13217 +54.6 -0.127177 +54.61 -0.121508 +54.62 -0.115359 +54.63 -0.108918 +54.64 -0.102361 +54.65 -0.0958507 +54.66 -0.089546 +54.67 -0.0835589 +54.68 -0.0779652 +54.69 -0.0728156 +54.7 -0.0681322 +54.71 -0.063909 +54.72 -0.0601153 +54.73 -0.056698 +54.74 -0.0535865 +54.75 -0.0507088 +54.76 -0.0479472 +54.77 -0.0452078 +54.78 -0.0424022 +54.79 -0.0394512 +54.8 -0.0362893 +54.81 -0.0328677 +54.82 -0.0291574 +54.83 -0.025147 +54.84 -0.0208329 +54.85 -0.0162776 +54.86 -0.0115371 +54.87 -0.00668255 +54.88 -0.00179644 +54.89 0.00303173 +54.9 0.00771005 +54.91 0.0121489 +54.92 0.0162545 +54.93 0.0199338 +54.94 0.0231555 +54.95 0.0258847 +54.96 0.0281066 +54.97 0.0298273 +54.98 0.0310736 +54.99 0.0318921 +55 0.0323467 +55.01 0.0325087 +55.02 0.0324796 +55.03 0.0323729 +55.04 0.0322908 +55.05 0.0323345 +55.06 0.0325997 +55.07 0.0331738 +55.08 0.0341323 +55.09 0.035537 +55.1 0.0374646 +55.11 0.0399335 +55.12 0.042936 +55.13 0.0464652 +55.14 0.0504995 +55.15 0.0550043 +55.16 0.0599338 +55.17 0.0652331 +55.18 0.070841 +55.19 0.0767039 +55.2 0.0827328 +55.21 0.0888535 +55.22 0.0949965 +55.23 0.101094 +55.24 0.107079 +55.25 0.112886 +55.26 0.118453 +55.27 0.123719 +55.28 0.128583 +55.29 0.133012 +55.3 0.136949 +55.31 0.140333 +55.32 0.143106 +55.33 0.145212 +55.34 0.146598 +55.35 0.147215 +55.36 0.147009 +55.37 0.14589 +55.38 0.143901 +55.39 0.141034 +55.4 0.137299 +55.41 0.132719 +55.42 0.127336 +55.43 0.121209 +55.44 0.114414 +55.45 0.10703 +55.46 0.0991616 +55.47 0.0909631 +55.48 0.0825613 +55.49 0.0740859 +55.5 0.0656648 +55.51 0.0574199 +55.52 0.0494629 +55.53 0.0418903 +55.54 0.0348044 +55.55 0.0282673 +55.56 0.0222846 +55.57 0.016859 +55.58 0.0119689 +55.59 0.00756945 +55.6 0.00359489 +55.61 -3.79416e-05 +55.62 -0.00342541 +55.63 -0.00667036 +55.64 -0.00989607 +55.65 -0.0132099 +55.66 -0.0167058 +55.67 -0.0204631 +55.68 -0.0245425 +55.69 -0.0289825 +55.7 -0.0337969 +55.71 -0.0389739 +55.72 -0.0444957 +55.73 -0.0502706 +55.74 -0.0562042 +55.75 -0.0621895 +55.76 -0.0681062 +55.77 -0.073826 +55.78 -0.0792181 +55.79 -0.0841548 +55.8 -0.0885168 +55.81 -0.0921276 +55.82 -0.0949588 +55.83 -0.0969498 +55.84 -0.0980639 +55.85 -0.09829 +55.86 -0.097642 +55.87 -0.096158 +55.88 -0.0938978 +55.89 -0.0909305 +55.9 -0.0873238 +55.91 -0.0832359 +55.92 -0.0787773 +55.93 -0.0740592 +55.94 -0.0691885 +55.95 -0.0642652 +55.96 -0.0593784 +55.97 -0.0546044 +55.98 -0.0500129 +55.99 -0.0456616 +56 -0.0415697 +56.01 -0.0377547 +56.02 -0.0342235 +56.03 -0.0309747 +56.04 -0.0280013 +56.05 -0.0252932 +56.06 -0.0228403 +56.07 -0.0206458 +56.08 -0.0187048 +56.09 -0.0170082 +56.1 -0.0155635 +56.11 -0.0143832 +56.12 -0.0134841 +56.13 -0.0128852 +56.14 -0.0126058 +56.15 -0.0126627 +56.16 -0.0130901 +56.17 -0.0138791 +56.18 -0.0150106 +56.19 -0.0164629 +56.2 -0.0182 +56.21 -0.0201717 +56.22 -0.0223132 +56.23 -0.0245463 +56.24 -0.0267818 +56.25 -0.0289059 +56.26 -0.030812 +56.27 -0.0323975 +56.28 -0.0335624 +56.29 -0.0342152 +56.3 -0.0342767 +56.31 -0.0336842 +56.32 -0.0323943 +56.33 -0.0303835 +56.34 -0.0275936 +56.35 -0.0241206 +56.36 -0.0200192 +56.37 -0.0153654 +56.38 -0.0102539 +56.39 -0.00479492 +56.4 0.000889731 +56.41 0.00667134 +56.42 0.0124155 +56.43 0.0179711 +56.44 0.0232217 +56.45 0.0280579 +56.46 0.032385 +56.47 0.0361245 +56.48 0.0392162 +56.49 0.0416183 +56.5 0.0433073 +56.51 0.0442527 +56.52 0.0444493 +56.53 0.0439641 +56.54 0.042832 +56.55 0.0410953 +56.56 0.0388006 +56.57 0.035997 +56.58 0.0327336 +56.59 0.0290585 +56.6 0.025002 +56.61 0.0206161 +56.62 0.0159584 +56.63 0.0110709 +56.64 0.00599712 +56.65 0.000783695 +56.66 -0.00451772 +56.67 -0.00984868 +56.68 -0.0151425 +56.69 -0.0203101 +56.7 -0.0252601 +56.71 -0.0298993 +56.72 -0.0341242 +56.73 -0.0378259 +56.74 -0.0408942 +56.75 -0.0432209 +56.76 -0.0447042 +56.77 -0.0452535 +56.78 -0.0447082 +56.79 -0.043085 +56.8 -0.0403735 +56.81 -0.0365818 +56.82 -0.0317502 +56.83 -0.0259525 +56.84 -0.0192962 +56.85 -0.0119208 +56.86 -0.00399405 +56.87 0.00429821 +56.88 0.0126916 +56.89 0.0209555 +56.9 0.0288543 +56.91 0.0361555 +56.92 0.0426373 +56.93 0.0480965 +56.94 0.0523552 +56.95 0.0552373 +56.96 0.0565522 +56.97 0.05634 +56.98 0.0545861 +56.99 0.0513199 +57 0.0466134 +57.01 0.0405785 +57.02 0.0333628 +57.03 0.0251439 +57.04 0.016103 +57.05 0.00647475 +57.06 -0.00346831 +57.07 -0.0134965 +57.08 -0.0233869 +57.09 -0.0329295 +57.1 -0.0419329 +57.11 -0.0502284 +57.12 -0.0576738 +57.13 -0.0640999 +57.14 -0.069427 +57.15 -0.0736444 +57.16 -0.0767289 +57.17 -0.0786817 +57.18 -0.0795248 +57.19 -0.079298 +57.2 -0.078055 +57.21 -0.0758595 +57.22 -0.0727276 +57.23 -0.0687801 +57.24 -0.0641141 +57.25 -0.0588049 +57.26 -0.0529258 +57.27 -0.0465483 +57.28 -0.0397419 +57.29 -0.0325751 +57.3 -0.0251161 +57.31 -0.0174213 +57.32 -0.00958519 +57.33 -0.00168438 +57.34 0.006203 +57.35 0.0139955 +57.36 0.0216088 +57.37 0.0289576 +57.38 0.0359564 +57.39 0.042519 +57.4 0.0485217 +57.41 0.053936 +57.42 0.0587076 +57.43 0.0627973 +57.44 0.0661832 +57.45 0.0688631 +57.46 0.0708554 +57.47 0.0721996 +57.48 0.0729441 +57.49 0.073155 +57.5 0.0729715 +57.51 0.0725048 +57.52 0.071874 +57.53 0.0712015 +57.54 0.0706073 +57.55 0.070204 +57.56 0.0700918 +57.57 0.0703708 +57.58 0.0711136 +57.59 0.0723307 +57.6 0.0740262 +57.61 0.0761765 +57.62 0.078731 +57.63 0.0816136 +57.64 0.0847259 +57.65 0.0879508 +57.66 0.0911483 +57.67 0.0941624 +57.68 0.0968525 +57.69 0.0990808 +57.7 0.10072 +57.71 0.101656 +57.72 0.101795 +57.73 0.101066 +57.74 0.0994193 +57.75 0.0967676 +57.76 0.0931621 +57.77 0.088655 +57.78 0.0832986 +57.79 0.0771622 +57.8 0.0703287 +57.81 0.0628903 +57.82 0.0549436 +57.83 0.0465857 +57.84 0.0378904 +57.85 0.0289754 +57.86 0.0199171 +57.87 0.0107784 +57.88 0.00161013 +57.89 -0.0075488 +57.9 -0.0166699 +57.91 -0.0257332 +57.92 -0.034724 +57.93 -0.0436239 +57.94 -0.0524272 +57.95 -0.0611177 +57.96 -0.069672 +57.97 -0.0780576 +57.98 -0.0862309 +57.99 -0.0941366 +58 -0.101708 +58.01 -0.108855 +58.02 -0.115461 +58.03 -0.121461 +58.04 -0.12676 +58.05 -0.131267 +58.06 -0.134896 +58.07 -0.137572 +58.08 -0.139233 +58.09 -0.139837 +58.1 -0.139316 +58.11 -0.137662 +58.12 -0.134958 +58.13 -0.131255 +58.14 -0.126624 +58.15 -0.121157 +58.16 -0.11496 +58.17 -0.10815 +58.18 -0.100855 +58.19 -0.0931865 +58.2 -0.085293 +58.21 -0.0773027 +58.22 -0.0693199 +58.23 -0.061434 +58.24 -0.0537168 +58.25 -0.0462213 +58.26 -0.0389815 +58.27 -0.0320124 +58.28 -0.0253306 +58.29 -0.0189022 +58.3 -0.0126922 +58.31 -0.00666423 +58.32 -0.000779479 +58.33 0.00499952 +58.34 0.010705 +58.35 0.0163606 +58.36 0.0219787 +58.37 0.0275536 +58.38 0.0330692 +58.39 0.0384926 +58.4 0.0437767 +58.41 0.0488633 +58.42 0.0536847 +58.43 0.0581676 +58.44 0.0622361 +58.45 0.0658091 +58.46 0.0687729 +58.47 0.0711096 +58.48 0.0727734 +58.49 0.073733 +58.5 0.0739733 +58.51 0.0734962 +58.52 0.0723201 +58.53 0.070479 +58.54 0.0680056 +58.55 0.0649464 +58.56 0.0614105 +58.57 0.0574718 +58.58 0.0532054 +58.59 0.0486841 +58.6 0.0439758 +58.61 0.0391407 +58.62 0.0342298 +58.63 0.029283 +58.64 0.0243317 +58.65 0.0193937 +58.66 0.0144759 +58.67 0.00957792 +58.68 0.00469444 +58.69 -0.000182309 +58.7 -0.00505962 +58.71 -0.00994158 +58.72 -0.0148261 +58.73 -0.019701 +58.74 -0.0245445 +58.75 -0.029324 +58.76 -0.0339964 +58.77 -0.0385079 +58.78 -0.0427964 +58.79 -0.0467926 +58.8 -0.0504232 +58.81 -0.0535746 +58.82 -0.0561932 +58.83 -0.0582207 +58.84 -0.0596002 +58.85 -0.0602864 +58.86 -0.0602478 +58.87 -0.0594685 +58.88 -0.0579491 +58.89 -0.0557064 +58.9 -0.0527149 +58.91 -0.0490896 +58.92 -0.0448938 +58.93 -0.0401992 +58.94 -0.0350839 +58.95 -0.0296294 +58.96 -0.023917 +58.97 -0.0180257 +58.98 -0.0120288 +58.99 -0.00599584 +59 1.02215e-05 +59.01 0.00594362 +59.02 0.0117681 +59.03 0.0174561 +59.04 0.0229876 +59.05 0.0283483 +59.06 0.0335271 +59.07 0.038508 +59.08 0.0432716 +59.09 0.0478139 +59.1 0.0521126 +59.11 0.0561385 +59.12 0.0598539 +59.13 0.0632132 +59.14 0.0661632 +59.15 0.0686444 +59.16 0.0705661 +59.17 0.0718546 +59.18 0.0724725 +59.19 0.0723628 +59.2 0.0714776 +59.21 0.069781 +59.22 0.0672525 +59.23 0.0638886 +59.24 0.0597052 +59.25 0.0546934 +59.26 0.0489421 +59.27 0.0425549 +59.28 0.0356279 +59.29 0.0282719 +59.3 0.0206085 +59.31 0.0127661 +59.32 0.00487626 +59.33 -0.00293125 +59.34 -0.0105074 +59.35 -0.0177423 +59.36 -0.0245421 +59.37 -0.0308267 +59.38 -0.0365345 +59.39 -0.0416242 +59.4 -0.0460742 +59.41 -0.0498822 +59.42 -0.0530631 +59.43 -0.0555974 +59.44 -0.0575872 +59.45 -0.0590856 +59.46 -0.0601496 +59.47 -0.0608367 +59.48 -0.0612012 +59.49 -0.061291 +59.5 -0.061145 +59.51 -0.0607881 +59.52 -0.0602249 +59.53 -0.0594708 +59.54 -0.0585137 +59.55 -0.0573307 +59.56 -0.0558898 +59.57 -0.0541528 +59.58 -0.0520777 +59.59 -0.0496225 +59.6 -0.0467329 +59.61 -0.0433596 +59.62 -0.0395058 +59.63 -0.0351603 +59.64 -0.0303254 +59.65 -0.0250175 +59.66 -0.0192676 +59.67 -0.0131213 +59.68 -0.00663731 +59.69 0.000122378 +59.7 0.00706512 +59.71 0.0140902 +59.72 0.0211042 +59.73 0.0280125 +59.74 0.0347216 +59.75 0.0411421 +59.76 0.0471906 +59.77 0.0527915 +59.78 0.0578424 +59.79 0.0623013 +59.8 0.0661409 +59.81 0.06933 +59.82 0.0718477 +59.83 0.0736835 +59.84 0.0748357 +59.85 0.0753106 +59.86 0.0751217 +59.87 0.0742395 +59.88 0.0727348 +59.89 0.0706464 +59.9 0.0680087 +59.91 0.0648603 +59.92 0.0612435 +59.93 0.0572046 +59.94 0.0527942 +59.95 0.0480669 +59.96 0.0430663 +59.97 0.037886 +59.98 0.0325963 +59.99 0.0272721 +60 0.0219913 diff --git a/doc/source/img/Ni_fit.png b/doc/source/img/Ni_fit.png new file mode 100644 index 0000000..e74a4f5 Binary files /dev/null and b/doc/source/img/Ni_fit.png differ diff --git a/doc/source/img/makerecipe_flow.png b/doc/source/img/makerecipe_flow.png new file mode 100644 index 0000000..8504e90 Binary files /dev/null and b/doc/source/img/makerecipe_flow.png differ diff --git a/doc/source/snippets/data_params.rst b/doc/source/snippets/data_params.rst new file mode 100644 index 0000000..8bd4c90 --- /dev/null +++ b/doc/source/snippets/data_params.rst @@ -0,0 +1,37 @@ +.. list-table:: + :widths: 2 6 2 2 + :header-rows: 1 + :class: wrap-text + + * - PDF Parameter + - Description + - Refineable? + - Structural or Instrumental? + * - ``scale`` + - Overall scaling factor between calculated and observed PDFs; sets the absolute intensity. + - Yes + - Instrumental + * - ``qdamp`` + - Damping of PDF peaks due to limited experimental Q-range. Typically affects high-r ripples and overall peak amplitudes. + - Yes + - Instrumental + * - ``qbroad`` + - Instrumental or sample-related broadening of PDF peaks. This is due to the fact that diffraction peaks have different widths as a function of Q. + - Yes + - Instrumental + * - ``qmin`` + - Minimum Q included in the fit; sets the lower bound of the fourier transform (converting S(Q) to G(r)). + - No, from experiment/setup + - Instrumental + * - ``qmax`` + - Maximum Q included in the fit; sets the upper bound of the fourier transform (converting S(Q) to G(r)). + - No, from experiment/setup + - Instrumental + * - ``rmin`` + - Minimum r (distance) included in the fit; sets the lower bound of the fitting range. + - No, from experiment/setup + - Instrumental + * - ``rmax`` + - Maximum r (distance) included in the fit; sets the upper bound of the fitting range. + - No, from experiment/setup + - Instrumental (unless fitting to nanoparticles) diff --git a/doc/source/snippets/structure_params.rst b/doc/source/snippets/structure_params.rst new file mode 100644 index 0000000..edfabed --- /dev/null +++ b/doc/source/snippets/structure_params.rst @@ -0,0 +1,41 @@ +.. list-table:: + :widths: 2 6 2 2 + :header-rows: 1 + :class: wrap-text + + * - PDF Parameter + - Description + - Refineable? + - Structural or Instrumental? + * - ``a``, ``b``, ``c`` + - Lattice parameters of the crystal structure. + - Yes + - Structural + * - ``alpha``, ``beta``, ``gamma`` + - Angles between lattice vectors + - Yes + - Structural + * - ``delta1`` + - Constant (r-independent) peak broadening parameter accounting for uniform broadening of PDF peaks due to static disorder or residual instrumental effects. + - Yes + - Both + * - ``delta2`` + - Correlated motion parameter accounting for r-dependent broadening (increases with r) of PDF peaks due to correlated atomic motion. + - Yes + - Structural + * - ``biso`` or ``Uiso`` + - Isotropic atomic displacement parameter (ADP); models thermal vibration/disorder for each atom type. (note: ``biso=8*pi^2*Uiso``) + - Yes + - Structural + * - ``uij`` + - Anisotropic ADPs constrained by space group symmetry. + - Yes + - Structural + * - ``dscale`` + - Correction factor for background or density mismatch. + - Sometimes; often fixed + - Instrumental + * - ``sratio`` + - Ratio of coherent to incoherent scattering, used in some models. + - Sometimes + - Instrumental diff --git a/doc/source/tutorials/index.rst b/doc/source/tutorials/index.rst index 42fef8e..bdcce44 100644 --- a/doc/source/tutorials/index.rst +++ b/doc/source/tutorials/index.rst @@ -1,4 +1,228 @@ Tutorials ========= -Examples usage of ``diffpy.cmi`` can be found at `this GitHub repo `_. Tutorials coming soon... +The atomic pair distribution function (PDF) provides a powerful route to understanding the local atomic structure of materials in real space. +Despite its utility, PDF fitting and analysis can be challenging. +The process of understand PDFs requires time, care, and the development of intuition to connect structural models to experimental data. +Hopefully by the end of this tutorial series, PDF fitting will go from being a mysterious black box to a powerful tool in your structural analysis. + +Example usage of ``diffpy.cmi`` can be found at `this GitHub repo `_. + +.. _structural-parameters: + +Structural parameters +--------------------- + +Before we start fitting PDFs, lets first understand the parameters that will be refined on and what they mean. +It is important to understand these parameters as they will help you gain better insight into the fitting process and +how to interpret the results. + +.. include:: ../snippets/structure_params.rst + +.. _dataset-parameters: + +Dataset parameters +------------------ + +.. include:: ../snippets/data_params.rst + + +Bulk Ni PDF fitting +------------------- +Although it is easier (and recommended) to fit PDFs of bulk homogeneous materials in `PDFgui `_, +fitting a bulk PDF in ``diffpy.cmi`` will provide you with a deeper insight into the fitting process. Additionally, this pedagogical +example will help you build up confidence in using ``diffpy.cmi``. + +For bulk PDFs, we highly recommend using PDFgui. PDFgui is a great stepping stone before using ``diffpy.cmi``. +If you don't know how to use PDFgui, please see this +`PDFgui tutorial `_ +to fit the same Ni PDF with PDFgui. + +.. admonition:: Data Download + + First, visit `this link `_ and download the files for this tutorial: + + - ``Ni.cif`` + - ``Ni.gr`` + +1. To start, we must first import all necessary modules and packages. + + .. code-block:: python + + import matplotlib.pyplot as plt + import numpy as np + + from diffpy.utils.parsers.loaddata import loadData + from diffpy.structure import loadStructure + from diffpy.srfit.fitbase import FitContribution, FitRecipe + from diffpy.srfit.fitbase import Profile + from diffpy.srfit.pdf import PDFParser, PDFGenerator + from diffpy.structure.parsers import getParser + from diffpy.srfit.structure import constrainAsSpaceGroup + +2. As a sanity check, lets load the cif and PDF data to see what they look like. + + .. code-block:: python + + stru_path = "~/path/to/data/Ni.cif" + data_path = "~/path/to/data/Ni.gr" + # Load the structure and PDF data + structure = loadStructure(stru_path) + pdf_data = loadData(data_path) + print("Ni cif file:") + print(structure) + + r = pdf_data[:, 0] + g = pdf_data[:, 1] + plt.plot(r, g, label="PDF Data") + plt.xlabel("r (Angstrom)") + plt.ylabel("G(r)") + plt.title("Ni PDF Data") + plt.legend() + plt.show() + +3. Once you see the data and have a feel for it, we can begin the fitting process. We will first define + the :ref:`dataset-parameters` and :ref:`Structural parameters `. These values + will be used to initialize our fit. Given this data, these values are reasonable starting points. + + .. code-block:: python + + PDF_RMIN = 1.5 + PDF_RMAX = 50 + PDF_RSTEP = 0.01 + QMAX = 25 + QMIN = 0.1 + CUBICLAT_I = 3.52 + SCALE_I = 0.4 + UISO_I = 0.005 + DELTA2_I = 2 + QDAMP_I = 0.04 + QBROAD_I = 0.02 + +4. Now, we will define a function called ``make_recipe``. + This function will essentially tell the fit what to do. It contains all the necessary parameters and + contributions for the PDF fitting process. Because looking at a function with a lot of code is scary, + here is a gist of what the function does. + + + .. image:: ../img/makerecipe_flow.png + :alt: codecov-in-pr-comment + :width: 210px + :align: right + + - **Parses PDF data:** Given the PDF data file it extracts the Q_min and Q_max values. + - **Parses cif file:** Given the cif file it extracts the structure and space group information. + - **Simulates a PDF:** Given the structure, it computes a simulated PDF over predefined r-range. + - **Creates a Fit Contribution:** This will hold the simulated PDF and the experimental PDF. + - **Creates a Fit Recipe:** This is the main recipe that combines all contributions and parameters for the fit. + - **Refines params based on Fit Recipe:** When the function is called, the parameters defined in the fit recipe are refined to best fit the data. + + + + .. code-block:: python + + def make_recipe(cif_path, dat_path): + + # 1. Get structural info + p_cif = getParser('cif') # Get the parser for CIF files + stru = p_cif.parseFile(cif_path) # Using the parser, load the structure from the CIF + sg = p_cif.spacegroup.short_name # Get the space group to constrain the fit later on + + # 2. Get PDF data + profile = Profile() # Create a Profile object to hold PDF data and metadata + parser = PDFParser() # Create a PDFParser to get the appropriate Q_min and Q_max + parser.parseFile(dat_path) # Parse the PDF data file + profile.loadParsedData(parser) # Load the parsed PDF data into the profile + profile.setCalculationRange( + xmin=PDF_RMIN, xmax=PDF_RMAX, dx=PDF_RSTEP + ) # Set the calculation range for the PDF fit + + # 3. Create a PDFGenerator to generate a simulated PDF from the structure + genpdf = PDFGenerator("generatedPDF") # Give the generator a name + genpdf.setStructure(stru, periodic=True) # Give the generator the structure + + # 4. Create a Fit Contribution object + contribution = FitContribution("niPDFfit") # Give the contribution a name + contribution.addProfileGenerator(genpdf) # Add the PDFGenerator to the contribution + + # 5. Add the Profile to the contribution + contribution.setProfile(profile, xname="r") # Add the Profile to the contribution + + # 6. Set the equation used to combine the simulated PDF with the experimental PDF + contribution.setEquation("s1*generatedPDF") # scaling factor for the simulated PDF + + # 7. Create a Fit Recipe which turns our physics model into a mathematical recipe + recipe = FitRecipe() + recipe.addContribution(contribution) # Add the contribution to the recipe + + # 8. Initialize the experimental parameters + recipe.niPDFfit.generatedPDF.qdamp.value = QDAMP_I + recipe.niPDFfit.generatedPDF.qbroad.value = QBROAD_I + recipe.niPDFfit.generatedPDF.setQmin(QMIN) + recipe.niPDFfit.generatedPDF.setQmax(QMAX) + + # 9. Add scaling factor to the recipe + recipe.addVar(contribution.s1, value=SCALE_I, tag="scale") + + # 10. Add structural params to recipe, constraining them to the space group + spacegroupparams = constrainAsSpaceGroup(genpdf.phase, sg) # Extract SG constraints + for par in spacegroupparams.latpars: # Iterate over constrained lattice parameters + recipe.addVar(par, + value=CUBICLAT_I, + name="fcc_lat", + tag="lat") + for par in spacegroupparams.adppars: # Iterate over constrained ADPs + recipe.addVar(par, + value=UISO_I, + fixed=False, + name="fcc_ADP", + tag="adp") + recipe.addVar(genpdf.delta2, + name="Ni_Delta2", + value=DELTA2_I, + tag="d2") # Add delta2 parameter for PDF peak broadening + + # 11. Add instrumental Qdamp and Qbroad parameters to the recipe + recipe.addVar(genpdf.qdamp, + fixed=False, + name="Calib_Qdamp", + value=QDAMP_I, + tag="inst") + recipe.addVar(genpdf.qbroad, + fixed=False, + name="Calib_Qbroad", + value=QBROAD_I, + tag="inst") + return recipe + +5. Now we can call ``make_recipe`` and plot the fit, experimental, and difference curves to evaluate how well the data fit. + + .. code-block:: python + + recipe = make_recipe(cif_path, dat_path) # Call the function to create the fit recipe + recipe() + r = recipe.pdfcontrib.profile.x + g = recipe.pdfcontrib.profile.y + gcalc = recipe.pdfcontrib.profile.ycalc + diffzero = -0.65 * max(g) * np.ones_like(g) # offset the difference curve + diff = g - gcalc + diffzero + + plt.figure(figsize=(15, 6)) + plt.scatter(r, g, label="Experimental PDF") + plt.plot(r, gcalc, label="Fitted PDF") + plt.plot(r, diff, label="Difference") + + plt.xlabel("r (Angstrom)") + plt.ylabel("G(r)") + plt.title("Ni PDF Fit") + plt.legend() + plt.show() + + Once you run the above code, you should see a plot similar to the one below. + + .. image:: ../img/Ni_Fit.png + :alt: codecov-in-pr-comment + :width: 700px + :align: center + +Congratulations! You have successfully fit a bulk Ni PDF using ``diffpy.cmi``. You are now one step closer to becoming a PDF fitting expert. diff --git a/news/tutorial1.rst b/news/tutorial1.rst new file mode 100644 index 0000000..2bac106 --- /dev/null +++ b/news/tutorial1.rst @@ -0,0 +1,23 @@ +**Added:** + +* Add bulk Ni PDF fitting tutorial. + +**Changed:** + +* + +**Deprecated:** + +* + +**Removed:** + +* + +**Fixed:** + +* + +**Security:** + +*