Model Extended KIM ID = === Verification check vc-forces-numerical-derivative start (2019-01-27 20:51:19) === !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! !!!!! !!!!! VERIFICATION CHECK: vc-forces-numerical-derivative !!!!! !!!!! !!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Description: Comparison of the analytical forces obtained from the model with forces computed by numerical differentiation using Richardson extrapolation for a randomly distorted non-periodic structure based off the equilibrium face-centered cubic (fcc) structure. Separate configurations are tested for each species supported by the model, as well as one containing a random distribution of all species. Configurations used for testing are provided as auxiliary files. Author: Ellad Tadmor ----------------------------------------------------------------------------------------------------- Results for KIM Model : Sim_LAMMPS_BOP_ZhouWardFoster_2015_CCu__SM_784926969362_000 Supported species : C Cu random seed = 13 perturbation amplitude = 0.250 number unit cells per side = 2 ----------------------------------------------------------------------------------------------------- Comparison of analytical forces obtained from the model, the force computed as a numerical derivative of the energy, the difference between them, and the uncertainty in the numerical estimate of the force. The computed equilibrium lattice constant for the crystal (a0) is given in the heading. MONOATOMIC STRUCTURE -- Species = C | a0 = 2.79654693604 | (Configuration in file "config-C.xyz") ----------------------------------------------------------------------------------------------------- Part Spec Dir Force_model Force_numer |Force diff| uncertainty ----------------------------------------------------------------------------------------------------- 1 C 1 -9.032212716095425e-01 -9.032212714389158e-01 1.70627e-10 2.27193e-09 2 6.364734491003722e+00 6.364734490966026e+00 3.76970e-11 8.42837e-10 3 5.358173939260931e+00 5.358173939324553e+00 6.36220e-11 4.55310e-10 ----------------------------------------------------------------------------------------------------- 2 C 1 5.657365481613010e+00 5.657365481879420e+00 2.66410e-10 1.08713e-09 2 -5.277297944395778e+00 -5.277297944889328e+00 4.93549e-10 8.78655e-10 3 -3.551934131365136e-01 -3.551934131170089e-01 1.95047e-11 2.90925e-09 ----------------------------------------------------------------------------------------------------- 3 C 1 1.326792602357300e+00 1.326792602072855e+00 2.84445e-10 5.34550e-09 2 1.675498263311354e-01 1.675498245743667e-01 1.75677e-09 2.09643e-09 3 4.908858656363676e+00 4.908858656538308e+00 1.74632e-10 3.25034e-09 ----------------------------------------------------------------------------------------------------- 4 C 1 -3.004270435364718e+00 -3.004270435591919e+00 2.27201e-10 5.57348e-09 2 -5.207298467299488e+00 -5.207298468279872e+00 9.80384e-10 1.84713e-09 3 -7.049318481931300e+00 -7.049318482846292e+00 9.14993e-10 1.26776e-09 ----------------------------------------------------------------------------------------------------- 5 C 1 -5.065059321028231e+00 -5.065059321222257e+00 1.94025e-10 7.35389e-10 2 5.069244487652234e+00 5.069244487479160e+00 1.73073e-10 4.58504e-10 3 -3.069661966353648e+00 -3.069661966414117e+00 6.04685e-11 9.15216e-10 ----------------------------------------------------------------------------------------------------- 6 C 1 8.899284248088803e-01 8.899284245548975e-01 2.53983e-10 5.22959e-10 2 -2.060255058593112e+00 -2.060255058474205e+00 1.18908e-10 1.30735e-09 3 1.012415113807996e+00 1.012415113492362e+00 3.15634e-10 2.69421e-09 ----------------------------------------------------------------------------------------------------- 7 C 1 3.148637460558760e+00 3.148637459615367e+00 9.43392e-10 3.37110e-09 2 -1.755370311963451e+00 -1.755370316172396e+00 4.20894e-09 3.99731e-09 3 -2.019304967925785e+00 -2.019304966506381e+00 1.41940e-09 1.32937e-08 ----------------------------------------------------------------------------------------------------- 8 C 1 -4.314115085368058e+00 -4.314115084651881e+00 7.16176e-10 1.82695e-09 2 1.233133079335738e+00 1.233133080500731e+00 1.16499e-09 1.29941e-08 3 4.226345614201412e+00 4.226345611782052e+00 2.41936e-09 1.23188e-08 ----------------------------------------------------------------------------------------------------- 9 C 1 -1.709611885814551e+00 -1.709611886128651e+00 3.14100e-10 4.73360e-09 2 2.379800901746167e+00 2.379800901903153e+00 1.56986e-10 2.93822e-09 3 2.987488147594816e+00 2.987488152165224e+00 4.57041e-09 1.15717e-08 ----------------------------------------------------------------------------------------------------- 10 C 1 -8.947264284335761e-01 -8.947264287039703e-01 2.70394e-10 1.09576e-08 2 4.465396378680240e+00 4.465396378428549e+00 2.51691e-10 1.07434e-09 3 -1.388222195608497e+00 -1.388222195950518e+00 3.42021e-10 4.81927e-09 ----------------------------------------------------------------------------------------------------- 11 C 1 -5.578517736354642e+00 -5.578517734605632e+00 1.74901e-09 1.84627e-08 2 -8.099330582145832e+00 -8.099330582670429e+00 5.24597e-10 5.32347e-09 3 9.335223995957034e-01 9.335223989409498e-01 6.54754e-10 1.71153e-09 ----------------------------------------------------------------------------------------------------- 12 C 1 -5.052954930094115e-02 -5.052954930172388e-02 7.82735e-13 2.03419e-09 2 -3.216695987522513e+00 -3.216695987079931e+00 4.42582e-10 2.36868e-09 3 -1.819918446297882e+00 -1.819918446236817e+00 6.10652e-11 1.61654e-08 ----------------------------------------------------------------------------------------------------- 13 C 1 5.457627472822589e-01 5.457627482474160e-01 9.65157e-10 3.46332e-09 2 -4.687087510235190e+00 -4.687087510208688e+00 2.65024e-11 9.58762e-11 3 -1.063682002522254e+01 -1.063682002498764e+01 2.34895e-10 1.94695e-09 ----------------------------------------------------------------------------------------------------- 14 C 1 1.847758698388110e+00 1.847758698632574e+00 2.44464e-10 7.19014e-09 2 1.417441914211288e+00 1.417441913818819e+00 3.92469e-10 8.95961e-09 3 -1.170463163269834e+00 -1.170463163316461e+00 4.66276e-11 1.74705e-09 ----------------------------------------------------------------------------------------------------- 15 C 1 1.120474331595614e+01 1.120474331672307e+01 7.66928e-10 1.25456e-08 2 1.315973101636617e+00 1.315973100778165e+00 8.58452e-10 5.17020e-09 3 2.461644882794181e+00 2.461644882557925e+00 2.36256e-10 4.55253e-09 ----------------------------------------------------------------------------------------------------- 16 C 1 -4.858147035338640e+00 -4.858147034020415e+00 1.31823e-09 7.06277e-09 2 1.349742881510361e+01 1.349742881496612e+01 1.37485e-10 8.00208e-09 3 3.586253820243865e+00 3.586253820446929e+00 2.03064e-10 2.09649e-09 ----------------------------------------------------------------------------------------------------- 17 C 1 -3.479995467087404e+00 -3.479995467001921e+00 8.54827e-11 4.80416e-09 2 -1.252176359162683e+00 -1.252176359085966e+00 7.67169e-11 1.82569e-09 3 8.761103271509082e-01 8.761103269779271e-01 1.72981e-10 4.36609e-09 ----------------------------------------------------------------------------------------------------- 18 C 1 4.875117344203451e+00 4.875117342438379e+00 1.76507e-09 1.57910e-09 2 1.599257909556917e+00 1.599257910282918e+00 7.26001e-10 4.43702e-09 3 -2.353197121372647e+00 -2.353197122380377e+00 1.00773e-09 2.55769e-09 ----------------------------------------------------------------------------------------------------- 19 C 1 -4.414140509343152e-02 -4.414140526785452e-02 1.74423e-10 8.91151e-09 2 6.086243213507486e-01 6.086243210951224e-01 2.55626e-10 3.45177e-07 * 3 2.709104910196964e+00 2.709104909630262e+00 5.66702e-10 4.35114e-09 ----------------------------------------------------------------------------------------------------- 20 C 1 -4.331045727411366e-01 -4.331045725379638e-01 2.03173e-10 6.33575e-09 2 -2.450271499574335e+00 -2.450271499617266e+00 4.29305e-11 1.38918e-09 3 1.343922115362799e-01 1.343922087569057e-01 2.77937e-09 3.81492e-09 ----------------------------------------------------------------------------------------------------- 21 C 1 3.840864333822661e+00 3.840864336232622e+00 2.40996e-09 2.66232e-09 2 -7.092751182654328e-01 -7.092751187402256e-01 4.74793e-10 8.51579e-10 3 5.650115140557515e+00 5.650115146370344e+00 5.81283e-09 8.37614e-09 ----------------------------------------------------------------------------------------------------- 22 C 1 1.968410344483936e+00 1.968410344641934e+00 1.57997e-10 1.34332e-08 2 -2.213821765272012e-01 -2.213821760990103e-01 4.28191e-10 5.78293e-09 3 2.268685634719301e+00 2.268685634463937e+00 2.55364e-10 3.32053e-09 ----------------------------------------------------------------------------------------------------- 23 C 1 -4.967371436960438e+00 -4.967371436542344e+00 4.18093e-10 2.11794e-09 2 3.888987389211349e-01 3.888987392073265e-01 2.86192e-10 7.57062e-09 3 -6.143080952287757e+00 -6.143080952164092e+00 1.23666e-10 2.08925e-09 ----------------------------------------------------------------------------------------------------- 24 C 1 -2.101508045446078e+00 -2.101508045550289e+00 1.04210e-10 2.80178e-10 2 -2.364874585871254e+00 -2.364874585636058e+00 2.35196e-10 1.18135e-08 3 -3.090692653494197e+00 -3.090692654495629e+00 1.00143e-09 2.43236e-09 ----------------------------------------------------------------------------------------------------- 25 C 1 -5.737291232994732e-01 -5.737291231049827e-01 1.94491e-10 4.18197e-09 2 -4.954986870592671e-01 -4.954986862586001e-01 8.00667e-10 1.17992e-08 3 -5.855777747215662e+00 -5.855777748773302e+00 1.55764e-09 6.00074e-09 ----------------------------------------------------------------------------------------------------- 26 C 1 1.367029465755900e+00 1.367029465185108e+00 5.70792e-10 4.36031e-09 2 7.577234713184629e+00 7.577234713795316e+00 6.10687e-10 2.49986e-09 3 -1.004104881123667e+01 -1.004104881112456e+01 1.12111e-10 4.66334e-09 ----------------------------------------------------------------------------------------------------- 27 C 1 -4.654790439864344e+00 -4.654790439677467e+00 1.86877e-10 2.99693e-09 2 1.308905499989462e+00 1.308905501729932e+00 1.74047e-09 4.11990e-09 3 1.091892165419451e+01 1.091892165386627e+01 3.28241e-10 1.38396e-09 ----------------------------------------------------------------------------------------------------- 28 C 1 1.505771560888915e+00 1.505771560747209e+00 1.41707e-10 4.91998e-10 2 -3.118598096690436e+00 -3.118598095717747e+00 9.72689e-10 6.83853e-09 3 3.197523914747520e+00 3.197523914753400e+00 5.87974e-12 6.85755e-10 ----------------------------------------------------------------------------------------------------- 29 C 1 2.319279456380648e-01 2.319279465678086e-01 9.29744e-10 4.86646e-09 2 -5.237343982927759e+00 -5.237343982813162e+00 1.14596e-10 7.76695e-09 3 -3.007586454228065e+00 -3.007586452673208e+00 1.55486e-09 1.43642e-08 ----------------------------------------------------------------------------------------------------- 30 C 1 1.421780668868939e+00 1.421780668452341e+00 4.16599e-10 2.68851e-09 2 -4.802573419969498e+00 -4.802573420576481e+00 6.06983e-10 6.19231e-09 3 1.469780328027233e+00 1.469780327247822e+00 7.79411e-10 6.49604e-09 ----------------------------------------------------------------------------------------------------- 31 C 1 7.599033827855248e-01 7.599033819177615e-01 8.67763e-10 7.57719e-09 2 4.383166510129137e+00 4.383166510470287e+00 3.41150e-10 1.24028e-09 3 -2.100187920984676e+00 -2.100187920636996e+00 3.47680e-10 4.54670e-09 ----------------------------------------------------------------------------------------------------- 32 C 1 2.041045461693349e+00 2.041045462112557e+00 4.19208e-10 2.93795e-09 2 -8.214609006295969e-01 -8.214609004157786e-01 2.13818e-10 1.00339e-08 3 7.401137625572896e+00 7.401137626534084e+00 9.61188e-10 5.85357e-09 ----------------------------------------------------------------------------------------------------- * Starred lines are suspected outliers and are not included when determining the error. A calculation is considered an outlier if it has an uncertainty that lies at an abnormal distance from the other uncertainties in this set of calculations. Outliers are determined using the box plot construction with fences. An outlier could indicate a problem with the the numerical differentiation or problems with the potential energy, such as dicontinuities. Maximum error obtained for particle = 20, direction = 3: |F_model - F_numer| error = ----------------------- = 2.06811e-08 max{|F_numer|, eps} Comparison of analytical forces obtained from the model, the force computed as a numerical derivative of the energy, the difference between them, and the uncertainty in the numerical estimate of the force. The computed equilibrium lattice constant for the crystal (a0) is given in the heading. MONOATOMIC STRUCTURE -- Species = Cu | a0 = 3.60738372803 | (Configuration in file "config-Cu.xyz") ----------------------------------------------------------------------------------------------------- Part Spec Dir Force_model Force_numer |Force diff| uncertainty ----------------------------------------------------------------------------------------------------- 1 Cu 1 -2.728702368296758e+00 -2.728702366587171e+00 1.70959e-09 1.72679e-08 2 2.634332609626334e-01 2.634332488376100e-01 1.21250e-08 4.73577e-08 3 -3.437556109149049e+00 -3.437556105710865e+00 3.43818e-09 3.27793e-09 ----------------------------------------------------------------------------------------------------- 2 Cu 1 3.834803356543743e+04 -1.641136484042049e+01 3.83644e+04 9.09738e-03 2 -1.662552271565379e+04 5.370267939263537e+00 1.66309e+04 1.67514e+01 3 1.785785409854028e+04 -8.099010361693789e-01 1.78587e+04 9.25512e+00 ----------------------------------------------------------------------------------------------------- 3 Cu 1 8.252958852639206e+01 7.859569771398203e+01 3.93389e+00 1.09497e+01 2 -1.138287004026570e+00 -9.124789938322209e-01 2.25808e-01 5.94709e+00 3 -8.309098252099022e+01 -7.619280383676434e+01 6.89818e+00 1.39092e+01 ----------------------------------------------------------------------------------------------------- 4 Cu 1 4.172106552681298e+04 7.436493237885526e-01 4.17203e+04 7.06608e-08 2 -1.643312757546279e+04 4.869059905993358e-01 1.64336e+04 1.48051e-07 3 3.410426783239588e+04 4.755879093500396e+00 3.40995e+04 8.91672e-08 ----------------------------------------------------------------------------------------------------- 5 Cu 1 1.027162689349933e+02 1.042319234339397e+02 1.51565e+00 5.51935e+00 2 -2.685751012248531e+02 -2.716594503352375e+02 3.08435e+00 1.00706e+00 3 -1.802265783342933e+02 -1.809293567635739e+02 7.02778e-01 7.56430e-01 ----------------------------------------------------------------------------------------------------- 6 Cu 1 1.039728430838138e+02 1.038045518820539e+02 1.68291e-01 1.97448e+00 2 7.779109400549108e+01 7.871597444642818e+01 9.24880e-01 3.30881e+00 3 -5.035377823629631e+01 -4.799410258709379e+01 2.35968e+00 6.02091e-01 ----------------------------------------------------------------------------------------------------- 7 Cu 1 -3.927203128961926e+04 2.925681071950278e+00 3.92750e+04 3.23570e+01 * 2 1.687969630203304e+04 -1.105027339156815e+00 1.68808e+04 1.48936e-07 3 -1.868444096131901e+04 -3.439218353177204e+01 1.86500e+04 3.01153e+00 ----------------------------------------------------------------------------------------------------- 8 Cu 1 7.741487604149336e+02 7.725582114869724e+02 1.59055e+00 2.97924e+02 * 2 -5.120651584544785e+01 -4.843022575159623e+01 2.77629e+00 2.47259e+00 3 9.903842128129720e+02 9.946419008646433e+02 4.25769e+00 8.10086e+00 ----------------------------------------------------------------------------------------------------- 9 Cu 1 6.975449967817118e-01 6.975449966877301e-01 9.39817e-11 1.08127e-08 2 -1.792301776543790e+00 -1.792301773872776e+00 2.67101e-09 9.18816e-09 3 -2.092026252448504e+00 -2.092026249867540e+00 2.58096e-09 2.03438e-08 ----------------------------------------------------------------------------------------------------- 10 Cu 1 4.912906724870967e+00 5.078530614723578e+00 1.65624e-01 2.48853e+00 2 9.677767107184440e+00 9.804006296666934e+00 1.26239e-01 1.18233e+00 3 -2.085013139160978e+01 -2.125313066342240e+01 4.02999e-01 4.93897e+00 ----------------------------------------------------------------------------------------------------- 11 Cu 1 -1.633180524215164e+01 -1.668932051722430e+01 3.57515e-01 2.50674e+00 2 -9.532512300692541e+01 -1.080559654379079e+02 1.27308e+01 6.76560e+01 * 3 -2.821505181637800e+01 -2.516572356015632e+01 3.04933e+00 4.98833e-01 ----------------------------------------------------------------------------------------------------- 12 Cu 1 -3.170075090840435e+01 -3.206512441001859e+01 3.64374e-01 1.36370e+00 2 5.750795976864518e+00 5.450200543431670e+00 3.00595e-01 2.69929e+00 3 -1.871051018871167e+00 -1.818140162882395e+00 5.29109e-02 4.02095e-01 ----------------------------------------------------------------------------------------------------- 13 Cu 1 1.433451997156058e+01 8.847694137698671e+00 5.48683e+00 2.31321e-05 2 2.434943974634048e+01 2.487382896629699e+01 5.24389e-01 2.53946e+00 3 -1.757234954696495e+01 -1.722314781806530e+01 3.49202e-01 2.51069e-01 ----------------------------------------------------------------------------------------------------- 14 Cu 1 -2.684342005448735e+00 -2.684342040636170e+00 3.51874e-08 3.61930e-07 2 2.475259066549442e+00 2.475258980325064e+00 8.62244e-08 2.54031e-06 3 -3.150031404234827e+00 -3.150031456202600e+00 5.19678e-08 1.25157e-07 ----------------------------------------------------------------------------------------------------- 15 Cu 1 -8.636213451950076e+03 -3.132497893446774e+00 8.63308e+03 2.73630e-08 2 7.359171726144609e+03 -8.856482443317670e+00 7.36803e+03 5.10763e+01 * 3 -1.109644263543131e+05 -3.988145717461329e+01 1.10925e+05 7.17533e+01 * ----------------------------------------------------------------------------------------------------- 16 Cu 1 7.181227436638815e+01 7.166755831368397e+01 1.44716e-01 1.01602e+00 2 5.903461569989884e+01 6.097916353715223e+01 1.94455e+00 9.23261e-01 3 -3.322822279299707e+01 -3.658655242274371e+01 3.35833e+00 6.26366e-01 ----------------------------------------------------------------------------------------------------- 17 Cu 1 -7.905019260995900e+01 -1.247404539764704e+01 6.65761e+01 1.38144e+02 * 2 -1.879635433766942e+01 2.281017650122691e+00 2.10774e+01 4.32258e-07 3 8.162950346271863e+01 8.101428925437438e+01 6.15214e-01 1.31796e+00 ----------------------------------------------------------------------------------------------------- 18 Cu 1 -4.175947821221589e+04 -2.794098524710248e+01 4.17315e+04 4.22452e+02 * 2 1.648236893395419e+04 3.255893882577747e+01 1.64498e+04 2.10063e+00 3 -3.413419605618146e+04 -6.158866252174494e+01 3.40726e+04 1.52698e+04 * ----------------------------------------------------------------------------------------------------- 19 Cu 1 -7.757755737705759e+00 -8.428322372386422e+00 6.70567e-01 9.01147e-01 2 -1.068444787131958e+01 -1.111408295509518e+00 9.57304e+00 3.48636e-07 3 2.065854196896217e+01 2.110965984939043e+01 4.51118e-01 6.22152e-01 ----------------------------------------------------------------------------------------------------- 20 Cu 1 -8.996825725855263e+01 -8.868280061289771e+01 1.28546e+00 2.85340e+01 * 2 -3.028050684876123e+02 -3.037593278635929e+02 9.54259e-01 1.16423e+01 3 2.449678410659292e+02 2.458285511867118e+02 8.60710e-01 1.09600e+01 ----------------------------------------------------------------------------------------------------- 21 Cu 1 -5.175473823306568e+01 -5.352821517872451e+01 1.77348e+00 1.66584e+01 2 -5.557350121891061e+01 -5.652189556751165e+01 9.48394e-01 8.40494e+00 3 5.790029553168391e+01 5.767818067323714e+01 2.22115e-01 2.08972e+00 ----------------------------------------------------------------------------------------------------- 22 Cu 1 1.892335276677250e+01 1.861459102161738e+01 3.08762e-01 1.91869e+00 2 7.724922068859537e+01 7.843561573383644e+01 1.18640e+00 1.87762e+00 3 -6.317892176210197e+01 -6.291947977335892e+01 2.59442e-01 2.66119e+00 ----------------------------------------------------------------------------------------------------- 23 Cu 1 7.595755090823708e-01 1.029336862249709e+00 2.69761e-01 1.87225e+00 2 -7.852132961467139e+01 -7.928791485518316e+01 7.66585e-01 1.00252e+00 3 7.146150132772101e+01 7.116081597464286e+01 3.00685e-01 3.10305e+00 ----------------------------------------------------------------------------------------------------- 24 Cu 1 1.414117952972417e+01 1.493436037158870e+01 7.93181e-01 1.83761e-01 2 1.367385428281996e+01 1.381819942134868e+01 1.44345e-01 7.87448e-01 3 3.531643683178111e+01 3.577564066164179e+01 4.59204e-01 7.20480e-01 ----------------------------------------------------------------------------------------------------- 25 Cu 1 9.483199819780467e+01 9.462397654040201e+01 2.08022e-01 1.00659e+00 2 1.888180234013217e+02 1.861863334189712e+02 2.63169e+00 1.75333e+02 * 3 -3.446981323690555e+02 -3.478114357109562e+02 3.11330e+00 4.72140e+00 ----------------------------------------------------------------------------------------------------- 26 Cu 1 -2.782952247673021e+01 -2.770979269114418e+01 1.19730e-01 3.38690e-01 2 3.554144709793473e+01 3.505866284033358e+01 4.82784e-01 5.31617e-01 3 7.393961948947288e+01 7.436314149028966e+01 4.23522e-01 4.17871e+00 ----------------------------------------------------------------------------------------------------- 27 Cu 1 -2.796684413199301e+01 -5.246057990371790e+01 2.44937e+01 2.86746e+01 * 2 -9.128018597537493e+01 -9.193183817644238e+01 6.51652e-01 3.71402e+00 3 -1.029376274672366e+00 -9.813642513026071e-01 4.80120e-02 8.57740e-01 ----------------------------------------------------------------------------------------------------- 28 Cu 1 -2.434884536271226e+01 -2.742531453233483e+01 3.07647e+00 1.87678e+00 2 1.046343391073658e+02 1.050202028298765e+02 3.85864e-01 7.37570e-01 3 8.533392531142682e+01 8.550839011580146e+01 1.74465e-01 4.44457e+00 ----------------------------------------------------------------------------------------------------- 29 Cu 1 -3.841914558916800e+01 -3.847298184284744e+01 5.38363e-02 8.00727e-01 2 -8.223395189123165e+00 -7.675863107542687e+00 5.47532e-01 1.93489e+00 3 3.328713355674729e+01 3.307867243619203e+01 2.08461e-01 4.01525e-01 -----------------------------------------------------------------------------------------------------