Wall clock time and date at job start Sat Apr 11 2020 06:10:10 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.52997 * 1 3 3 C 1.50703 * 109.52296 * 2 1 4 4 O 1.21284 * 119.99818 * 117.34064 * 3 2 1 5 5 N 1.34775 * 119.99767 * 297.34770 * 3 2 1 6 6 C 1.46929 * 120.62920 * 185.24077 * 5 3 2 7 7 C 1.53624 * 108.54616 * 126.36242 * 6 5 3 8 8 C 1.53044 * 109.24039 * 54.85638 * 7 6 5 9 9 N 1.46494 * 109.44934 * 178.50151 * 8 7 6 10 10 C 1.36936 * 120.00546 * 60.05779 * 9 8 7 11 11 H 1.07995 * 119.99476 * 326.44374 * 10 9 8 12 12 C 1.38812 * 119.99934 * 146.43460 * 10 9 8 13 13 N 1.31624 * 119.99556 * 155.50826 * 12 10 9 14 14 Si 1.86795 * 120.00404 * 335.51349 * 12 10 9 15 15 H 1.48499 * 109.47308 * 89.23978 * 14 12 10 16 16 H 1.48502 * 109.47453 * 209.24371 * 14 12 10 17 17 H 1.48510 * 109.47033 * 329.24249 * 14 12 10 18 18 C 1.46509 * 119.99726 * 240.06025 * 9 8 7 19 19 C 1.52999 * 109.47004 * 83.17360 * 18 9 8 20 20 O 1.42897 * 109.47082 * 65.35313 * 19 18 9 21 21 C 1.53045 * 109.53803 * 298.51548 * 8 7 6 22 22 C 1.46924 * 120.63284 * 5.51503 * 5 3 2 23 23 C 1.53305 * 109.56252 * 239.87032 * 2 1 3 24 24 C 1.53174 * 108.96814 * 183.11197 * 23 2 1 25 25 C 1.53088 * 109.21674 * 56.95286 * 24 23 2 26 26 O 1.42903 * 109.41306 * 302.36160 * 25 24 23 27 27 C 1.42899 * 114.09889 * 61.15867 * 26 25 24 28 28 H 1.09000 * 109.47389 * 295.31905 * 1 2 3 29 29 H 1.09005 * 109.46802 * 55.31808 * 1 2 3 30 30 H 1.09002 * 109.46992 * 175.31267 * 1 2 3 31 31 H 1.08998 * 109.58566 * 246.19748 * 6 5 3 32 32 H 1.09005 * 109.58713 * 6.62415 * 6 5 3 33 33 H 1.09001 * 109.63303 * 294.86409 * 7 6 5 34 34 H 1.08999 * 109.43189 * 174.72511 * 7 6 5 35 35 H 1.09003 * 109.45878 * 58.52678 * 8 7 6 36 36 H 0.97005 * 119.99424 * 179.97438 * 13 12 10 37 37 H 1.08997 * 109.46749 * 203.17484 * 18 9 8 38 38 H 1.08997 * 109.46880 * 323.17996 * 18 9 8 39 39 H 1.08996 * 109.47488 * 185.35203 * 19 18 9 40 40 H 1.09001 * 109.47212 * 305.35395 * 19 18 9 41 41 H 0.96701 * 114.00448 * 179.97438 * 20 19 18 42 42 H 1.09005 * 109.49448 * 301.41497 * 21 8 7 43 43 H 1.08999 * 109.49898 * 181.31745 * 21 8 7 44 44 H 1.08997 * 109.58664 * 353.37885 * 22 5 3 45 45 H 1.08995 * 109.58777 * 113.80173 * 22 5 3 46 46 H 1.08996 * 109.62624 * 63.23624 * 23 2 1 47 47 H 1.09003 * 109.52935 * 302.93078 * 23 2 1 48 48 H 1.08998 * 109.52198 * 297.01570 * 24 23 2 49 49 H 1.08998 * 109.52798 * 176.89231 * 24 23 2 50 50 H 1.08995 * 109.48034 * 62.34019 * 25 24 23 51 51 H 1.08996 * 109.48592 * 182.36855 * 25 24 23 52 52 H 1.09001 * 109.48560 * 58.82492 * 27 26 25 53 53 H 1.09000 * 109.48180 * 178.84763 * 27 26 25 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 6 2.0336 1.4204 0.0000 4 8 2.6909 1.8307 0.9330 5 7 1.7534 2.2347 -1.0368 6 6 2.3314 3.5837 -1.1065 7 6 3.0374 3.7433 -2.4616 8 6 2.0492 3.4244 -3.5858 9 7 2.7077 3.6098 -4.8812 10 6 3.8169 2.8717 -5.1975 11 1 4.5162 2.5898 -4.4244 12 6 4.0421 2.4858 -6.5117 13 7 5.2654 2.2217 -6.9195 14 14 2.6094 2.3413 -7.7015 15 1 2.3859 3.6492 -8.3684 16 1 2.9176 1.3102 -8.7247 17 1 1.3854 1.9497 -6.9572 18 6 2.1794 4.5851 -5.8385 19 6 2.7076 5.9784 -5.4909 20 8 4.1246 6.0097 -5.6732 21 6 1.5775 1.9742 -3.4566 22 6 0.8595 1.7925 -2.1156 23 6 2.0433 -0.7251 -1.2494 24 6 3.5729 -0.7855 -1.1968 25 6 4.0056 -1.4793 0.0974 26 8 3.4694 -0.7722 1.2176 27 6 2.0416 -0.7242 1.2481 28 1 -0.3634 0.4395 0.9289 29 1 -0.3633 0.5848 -0.8451 30 1 -0.3633 -1.0242 -0.0840 31 1 1.5386 4.3261 -1.0148 32 1 3.0525 3.7145 -0.2996 33 1 3.8840 3.0589 -2.5163 34 1 3.3907 4.7690 -2.5678 35 1 1.1911 4.0929 -3.5155 36 1 5.4228 1.9516 -7.8378 37 1 2.4992 4.3159 -6.8451 38 1 1.0905 4.5873 -5.7914 39 1 2.2411 6.7169 -6.1428 40 1 2.4697 6.2085 -4.4524 41 1 4.5284 6.8648 -5.4711 42 1 2.4379 1.3064 -3.5019 43 1 0.8918 1.7407 -4.2711 44 1 0.6090 0.7411 -1.9748 45 1 -0.0509 2.3917 -2.1045 46 1 1.7302 -0.1832 -2.1417 47 1 1.6391 -1.7371 -1.2753 48 1 3.9784 0.2260 -1.2210 49 1 3.9450 -1.3476 -2.0533 50 1 3.6337 -2.5038 0.1025 51 1 5.0938 -1.4872 0.1595 52 1 1.6439 -1.7389 1.2682 53 1 1.7148 -0.1881 2.1391 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001098516618.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:10:10 Heat of formation + Delta-G solvation = -81.863621 kcal Electronic energy + Delta-G solvation = -33394.733175 eV Core-core repulsion = 29268.221044 eV Total energy + Delta-G solvation = -4126.512132 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.96 seconds Orbital eigenvalues (eV) -41.08983 -38.64179 -37.47003 -36.29831 -35.15091 -34.42030 -32.13281 -31.89658 -30.80675 -30.64376 -27.95500 -27.11428 -25.41629 -25.16042 -23.58573 -22.80328 -22.49593 -21.63831 -20.66408 -19.72872 -18.57997 -16.77757 -16.60776 -16.42831 -16.12943 -16.08179 -15.38794 -15.31312 -15.20925 -14.80638 -14.51268 -14.03475 -13.93715 -13.66999 -13.61697 -13.34218 -13.16479 -12.84210 -12.68257 -12.50160 -12.36417 -12.33107 -12.03158 -11.99995 -11.83857 -11.68998 -11.43762 -11.14191 -11.09963 -10.80301 -10.71018 -10.63861 -10.56315 -10.33971 -10.18251 -9.94607 -9.64179 -9.53144 -9.49959 -9.22271 -9.08101 -8.44732 -8.29886 -6.84760 -5.88296 -3.23855 2.85997 3.19358 3.31690 3.46384 3.49667 3.94155 4.36718 4.50049 4.58260 4.69049 4.77393 4.85339 4.97816 5.05659 5.06975 5.14120 5.30789 5.31693 5.34081 5.43527 5.45058 5.48830 5.52658 5.59103 5.62334 5.70593 5.75276 5.77736 5.78192 5.86587 5.87218 5.90654 5.97055 6.07216 6.11474 6.15398 6.17041 6.19384 6.30127 6.32795 6.46824 6.56422 6.74544 6.81241 7.00008 7.01832 7.26439 7.65370 8.08993 8.40837 8.43356 8.48047 9.04066 9.82028 10.16852 11.28117 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014828 B = 0.003955 C = 0.003653 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1887.880793 B = 7078.082829 C = 7663.499405 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.156 4.156 2 C -0.117 4.117 3 C 0.531 3.469 4 O -0.533 6.533 5 N -0.604 5.604 6 C 0.114 3.886 7 C -0.136 4.136 8 C 0.182 3.818 9 N -0.592 5.592 10 C -0.244 4.244 11 H 0.077 0.923 12 C 0.038 3.962 13 N -0.897 5.897 14 Si 0.870 3.130 15 H -0.287 1.287 16 H -0.305 1.305 17 H -0.273 1.273 18 C 0.125 3.875 19 C 0.062 3.938 20 O -0.537 6.537 21 C -0.143 4.143 22 C 0.085 3.915 23 C -0.126 4.126 24 C -0.158 4.158 25 C 0.058 3.942 26 O -0.365 6.365 27 C 0.090 3.910 28 H 0.062 0.938 29 H 0.079 0.921 30 H 0.068 0.932 31 H 0.058 0.942 32 H 0.085 0.915 33 H 0.072 0.928 34 H 0.067 0.933 35 H 0.049 0.951 36 H 0.259 0.741 37 H 0.073 0.927 38 H 0.047 0.953 39 H 0.022 0.978 40 H 0.031 0.969 41 H 0.354 0.646 42 H 0.079 0.921 43 H 0.067 0.933 44 H 0.101 0.899 45 H 0.062 0.938 46 H 0.094 0.906 47 H 0.072 0.928 48 H 0.075 0.925 49 H 0.080 0.920 50 H 0.047 0.953 51 H 0.092 0.908 52 H 0.053 0.947 53 H 0.095 0.905 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.878 -2.972 11.358 16.701 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.213 4.213 2 C -0.120 4.120 3 C 0.318 3.682 4 O -0.409 6.409 5 N -0.337 5.337 6 C -0.008 4.008 7 C -0.176 4.176 8 C 0.075 3.925 9 N -0.312 5.312 10 C -0.372 4.372 11 H 0.095 0.905 12 C -0.162 4.162 13 N -0.539 5.539 14 Si 0.701 3.299 15 H -0.216 1.216 16 H -0.234 1.234 17 H -0.198 1.198 18 C -0.001 4.001 19 C -0.019 4.019 20 O -0.338 6.338 21 C -0.183 4.183 22 C -0.038 4.038 23 C -0.163 4.163 24 C -0.196 4.196 25 C -0.018 4.018 26 O -0.283 6.283 27 C 0.013 3.987 28 H 0.081 0.919 29 H 0.097 0.903 30 H 0.087 0.913 31 H 0.076 0.924 32 H 0.103 0.897 33 H 0.091 0.909 34 H 0.086 0.914 35 H 0.067 0.933 36 H 0.069 0.931 37 H 0.091 0.909 38 H 0.065 0.935 39 H 0.040 0.960 40 H 0.049 0.951 41 H 0.197 0.803 42 H 0.098 0.902 43 H 0.086 0.914 44 H 0.119 0.881 45 H 0.080 0.920 46 H 0.112 0.888 47 H 0.091 0.909 48 H 0.094 0.906 49 H 0.098 0.902 50 H 0.065 0.935 51 H 0.110 0.890 52 H 0.071 0.929 53 H 0.114 0.886 Dipole moment (debyes) X Y Z Total from point charges -11.388 -3.370 11.682 16.659 hybrid contribution -0.885 0.514 -1.142 1.533 sum -12.273 -2.857 10.540 16.428 Atomic orbital electron populations 1.22154 0.92324 1.03267 1.03584 1.21532 0.97434 0.93976 0.99083 1.20153 0.79679 0.86550 0.81821 1.90686 1.39420 1.75998 1.34794 1.48026 1.47956 1.15494 1.22265 1.21743 0.97620 0.82163 0.99321 1.22393 0.99982 1.02347 0.92877 1.20268 0.92744 0.93265 0.86263 1.44098 1.31930 1.41230 1.13980 1.18516 0.97220 1.27402 0.94100 0.90549 1.25270 0.95486 0.98422 0.96975 1.69914 1.18790 1.48532 1.16653 0.87188 0.85168 0.76203 0.81351 1.21576 1.23354 1.19847 1.21467 0.94936 0.87803 0.95920 1.22890 0.82565 0.98996 0.97432 1.86917 1.19879 1.35819 1.91197 1.22410 1.00997 1.00744 0.94179 1.22469 0.92560 1.01074 0.87651 1.22093 0.96374 1.00784 0.97099 1.22185 0.95718 1.03019 0.98637 1.22606 0.99252 0.94056 0.85932 1.88054 1.19398 1.76102 1.44741 1.22348 0.81846 0.98178 0.96373 0.91851 0.90273 0.91322 0.92378 0.89708 0.90921 0.91432 0.93274 0.93078 0.90924 0.93498 0.95997 0.95107 0.80292 0.90224 0.91395 0.88113 0.91992 0.88823 0.90936 0.90645 0.90186 0.93515 0.88951 0.92888 0.88640 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.16 -1.38 8.13 37.16 0.30 -1.08 16 2 C -0.12 -1.38 0.50 -155.45 -0.08 -1.46 16 3 C 0.53 8.11 5.24 -10.98 -0.06 8.05 16 4 O -0.53 -10.09 14.84 -10.11 -0.15 -10.24 16 5 N -0.60 -8.70 2.96 -172.50 -0.51 -9.22 16 6 C 0.11 1.73 6.44 -3.48 -0.02 1.70 16 7 C -0.14 -2.37 5.32 -26.38 -0.14 -2.51 16 8 C 0.18 3.23 2.59 -67.89 -0.18 3.05 16 9 N -0.59 -12.96 2.04 -165.61 -0.34 -13.30 16 10 C -0.24 -6.47 8.59 -15.06 -0.13 -6.60 16 11 H 0.08 2.25 7.00 -52.49 -0.37 1.88 16 12 C 0.04 1.07 5.25 -17.43 -0.09 0.98 16 13 N -0.90 -27.34 13.97 55.49 0.78 -26.57 16 14 Si 0.87 21.64 25.26 -169.99 -4.29 17.35 16 15 H -0.29 -7.04 6.35 56.52 0.36 -6.69 16 16 H -0.31 -7.82 7.11 56.52 0.40 -7.42 16 17 H -0.27 -6.47 7.11 56.52 0.40 -6.07 16 18 C 0.12 2.59 4.61 -4.04 -0.02 2.57 16 19 C 0.06 1.13 7.38 37.16 0.27 1.40 16 20 O -0.54 -11.13 13.48 -35.23 -0.47 -11.60 16 21 C -0.14 -2.32 4.96 -26.61 -0.13 -2.45 16 22 C 0.09 1.07 4.12 -3.71 -0.02 1.05 16 23 C -0.13 -1.46 4.48 -26.48 -0.12 -1.58 16 24 C -0.16 -2.10 5.87 -26.60 -0.16 -2.26 16 25 C 0.06 0.73 6.84 37.20 0.25 0.98 16 26 O -0.37 -5.42 9.89 -50.90 -0.50 -5.92 16 27 C 0.09 1.09 5.07 37.21 0.19 1.28 16 28 H 0.06 0.55 8.14 -51.93 -0.42 0.12 16 29 H 0.08 0.68 4.75 -51.93 -0.25 0.43 16 30 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 31 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 32 H 0.08 1.39 7.04 -51.93 -0.37 1.03 16 33 H 0.07 1.50 7.03 -51.93 -0.37 1.13 16 34 H 0.07 1.20 8.14 -51.93 -0.42 0.78 16 35 H 0.05 0.79 7.88 -51.93 -0.41 0.38 16 36 H 0.26 7.58 8.31 -40.82 -0.34 7.24 16 37 H 0.07 1.73 3.08 -51.93 -0.16 1.57 16 38 H 0.05 0.84 8.07 -51.93 -0.42 0.43 16 39 H 0.02 0.35 8.14 -51.93 -0.42 -0.08 16 40 H 0.03 0.51 8.14 -51.93 -0.42 0.09 16 41 H 0.35 5.34 9.12 45.56 0.42 5.76 16 42 H 0.08 1.49 7.17 -51.93 -0.37 1.12 16 43 H 0.07 1.12 8.14 -51.93 -0.42 0.69 16 44 H 0.10 1.09 2.60 -51.93 -0.13 0.96 16 45 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 46 H 0.09 1.14 3.94 -51.93 -0.20 0.93 16 47 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 48 H 0.07 1.24 7.39 -51.93 -0.38 0.86 16 49 H 0.08 1.00 8.14 -51.93 -0.42 0.58 16 50 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 51 H 0.09 1.10 8.14 -51.93 -0.42 0.67 16 52 H 0.05 0.51 8.14 -51.93 -0.42 0.08 16 53 H 0.10 1.17 8.01 -51.93 -0.42 0.76 16 LS Contribution 385.63 15.07 5.81 5.81 Total: -1.00 -34.42 385.63 -7.90 -42.32 By element: Atomic # 1 Polarization: 16.33 SS G_CDS: -8.10 Total: 8.23 kcal Atomic # 6 Polarization: 3.26 SS G_CDS: -0.12 Total: 3.14 kcal Atomic # 7 Polarization: -49.01 SS G_CDS: -0.07 Total: -49.08 kcal Atomic # 8 Polarization: -26.64 SS G_CDS: -1.13 Total: -27.77 kcal Atomic # 14 Polarization: 21.64 SS G_CDS: -4.29 Total: 17.35 kcal Total LS contribution 5.81 Total: 5.81 kcal Total: -34.42 -7.90 -42.32 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001098516618.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -39.540 kcal (2) G-P(sol) polarization free energy of solvation -34.421 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -73.961 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.903 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.324 kcal (6) G-S(sol) free energy of system = (1) + (5) -81.864 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.96 seconds