Wall clock time and date at job start Tue Mar 31 2020 20:48:30 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 1.53002 * 1 3 3 H 1.08997 * 109.52490 * 2 1 4 4 C 1.53043 * 109.49949 * 239.92491 * 2 1 3 5 5 C 1.53043 * 109.53538 * 301.41054 * 4 2 1 6 6 C 1.53620 * 109.24245 * 298.51211 * 5 4 2 7 7 N 1.46927 * 108.54661 * 54.85615 * 6 5 4 8 8 C 1.34777 * 120.63037 * 126.36447 * 7 6 5 9 9 O 1.21610 * 119.99833 * 199.43810 * 8 7 6 10 10 C 1.47103 * 119.99968 * 19.44622 * 8 7 6 11 11 C 1.32085 * 118.87133 * 196.08855 * 10 8 7 12 12 C 1.50272 * 122.57145 * 180.39190 * 11 10 8 13 13 O 1.42885 * 110.09710 * 344.35075 * 12 11 10 14 14 C 1.43281 * 113.09776 * 50.53032 * 13 12 11 15 15 C 1.50412 * 118.87654 * 16.10675 * 10 8 7 16 16 C 1.46927 * 118.73690 * 306.09748 * 7 6 5 17 17 H 1.09009 * 109.58524 * 293.93025 * 16 7 6 18 18 C 1.52995 * 109.58674 * 173.64714 * 16 7 6 19 19 C 1.53002 * 109.47223 * 176.20135 * 18 16 7 20 20 C 1.52999 * 109.47359 * 175.70656 * 19 18 16 21 21 N 1.46500 * 109.47094 * 180.02562 * 20 19 18 22 22 C 1.36935 * 119.99777 * 180.02562 * 21 20 19 23 23 H 1.07996 * 119.99928 * 359.97438 * 22 21 20 24 24 C 1.38817 * 119.99963 * 179.97438 * 22 21 20 25 25 N 1.31617 * 120.00089 * 179.97438 * 24 22 21 26 26 Si 1.86804 * 119.99726 * 0.02562 * 24 22 21 27 27 H 1.48496 * 109.47084 * 89.99998 * 26 24 22 28 28 H 1.48500 * 109.46922 * 209.99867 * 26 24 22 29 29 H 1.48497 * 109.47255 * 329.99694 * 26 24 22 30 30 H 1.08989 * 109.47081 * 299.91269 * 1 2 3 31 31 H 1.08997 * 109.46858 * 59.91833 * 1 2 3 32 32 H 1.09000 * 109.46475 * 179.91544 * 1 2 3 33 33 H 1.09002 * 109.46266 * 61.43060 * 4 2 1 34 34 H 1.08997 * 109.46148 * 181.39307 * 4 2 1 35 35 H 1.09008 * 109.49617 * 58.58630 * 5 4 2 36 36 H 1.09002 * 109.50034 * 178.65150 * 5 4 2 37 37 H 1.08996 * 109.74020 * 295.11715 * 6 5 4 38 38 H 1.09004 * 109.66647 * 174.55183 * 6 5 4 39 39 H 1.08000 * 118.71541 * 0.36859 * 11 10 8 40 40 H 1.08998 * 109.36270 * 224.15976 * 12 11 10 41 41 H 1.09006 * 109.26162 * 104.48300 * 12 11 10 42 42 H 1.08999 * 109.63305 * 171.47081 * 14 13 12 43 43 H 1.08997 * 109.80554 * 50.95478 * 14 13 12 44 44 H 1.08998 * 109.45610 * 43.29134 * 15 10 8 45 45 H 1.09000 * 109.45956 * 283.35307 * 15 10 8 46 46 H 1.08999 * 109.47150 * 296.19686 * 18 16 7 47 47 H 1.08996 * 109.47246 * 56.19696 * 18 16 7 48 48 H 1.09005 * 109.46979 * 295.70731 * 19 18 16 49 49 H 1.09002 * 109.47056 * 55.70115 * 19 18 16 50 50 H 1.09003 * 109.46639 * 299.99812 * 20 19 18 51 51 H 1.08996 * 109.47077 * 59.99708 * 20 19 18 52 52 H 0.96998 * 120.00263 * 359.97438 * 21 20 19 53 53 H 0.97001 * 119.99715 * 180.02562 * 25 24 22 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 1 1.8943 1.0273 0.0000 4 6 2.0409 -0.7230 -1.2484 5 6 1.5031 -2.1557 -1.2661 6 6 2.0190 -2.9054 -0.0285 7 7 1.6517 -2.1382 1.1695 8 6 0.9749 -2.7222 2.1781 9 8 0.3732 -2.0376 2.9832 10 6 0.9641 -4.1877 2.3052 11 6 0.0576 -4.7540 3.0813 12 6 -0.0235 -6.2415 3.2780 13 8 0.7320 -6.9123 2.2676 14 6 2.0644 -6.4034 2.1311 15 6 1.9860 -4.9900 1.5473 16 6 2.0413 -0.7238 1.2495 17 1 3.1275 -0.6464 1.3005 18 6 1.4230 -0.0914 2.4978 19 6 1.9064 1.3543 2.6300 20 6 1.2060 2.0199 3.8162 21 7 1.6685 3.4043 3.9423 22 6 1.1768 4.2021 4.9407 23 1 0.4478 3.8109 5.6349 24 6 1.6154 5.5137 5.0606 25 7 1.1424 6.2807 6.0199 26 14 2.8758 6.1904 3.8593 27 1 2.1770 6.7924 2.6955 28 1 3.6962 7.2277 4.5348 29 1 3.7561 5.0893 3.3929 30 1 -0.3633 0.5124 0.8907 31 1 -0.3633 0.5151 -0.8892 32 1 -0.3632 -1.0277 -0.0015 33 1 1.6988 -0.1957 -2.1390 34 1 3.1306 -0.7443 -1.2354 35 1 0.4133 -2.1354 -1.2542 36 1 1.8477 -2.6626 -2.1675 37 1 3.1033 -3.0022 -0.0822 38 1 1.5637 -3.8948 0.0173 39 1 -0.6528 -4.1232 3.5948 40 1 -1.0651 -6.5575 3.2201 41 1 0.3777 -6.4970 4.2588 42 1 2.6349 -7.0458 1.4603 43 1 2.5489 -6.3704 3.1069 44 1 2.9603 -4.5084 1.6305 45 1 1.6978 -5.0464 0.4976 46 1 0.3365 -0.1046 2.4116 47 1 1.7244 -0.6573 3.3792 48 1 2.9842 1.3635 2.7925 49 1 1.6721 1.9007 1.7163 50 1 0.1282 2.0107 3.6536 51 1 1.4403 1.4735 4.7298 52 1 2.3235 3.7555 3.3190 53 1 1.4487 7.1973 6.1033 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001689122188.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 20:48:30 Heat of formation + Delta-G solvation = -28.816044 kcal Electronic energy + Delta-G solvation = -30716.346403 eV Core-core repulsion = 26782.590639 eV Total energy + Delta-G solvation = -3933.755764 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.15 seconds Orbital eigenvalues (eV) -41.29433 -39.56914 -37.91669 -35.94312 -34.75304 -33.39373 -33.29481 -31.64552 -31.40986 -29.92719 -27.61559 -26.85079 -25.80267 -24.59901 -24.45988 -22.98826 -21.50599 -21.14594 -20.54266 -19.17718 -18.53339 -17.43641 -17.21207 -16.80767 -16.23691 -15.88467 -15.70360 -15.51117 -15.27278 -14.74531 -14.47944 -14.18333 -14.07707 -13.92701 -13.70025 -13.56981 -13.38295 -13.06376 -12.83051 -12.75587 -12.66751 -12.26455 -11.99960 -11.91045 -11.75993 -11.66567 -11.35007 -11.15975 -11.05040 -10.97203 -10.81861 -10.79465 -10.61596 -10.25385 -10.19483 -10.06583 -9.99820 -9.50786 -9.42977 -9.18916 -8.80072 -8.60180 -7.12657 -5.68863 -3.03071 1.03818 2.76305 2.95478 3.38636 3.42366 3.45105 3.49426 4.10165 4.23657 4.34715 4.38633 4.55488 4.62770 4.66127 4.69504 4.76509 4.79647 4.93900 4.96047 5.02694 5.08081 5.13178 5.19329 5.21944 5.29119 5.37069 5.48321 5.51463 5.54019 5.55911 5.57590 5.61998 5.72834 5.76427 5.86574 5.92171 5.95697 5.98635 6.06992 6.13962 6.14641 6.30183 6.33674 6.42000 6.49293 6.58788 6.78850 6.96949 6.97491 7.29599 8.04165 8.09764 8.50875 9.30848 10.03437 10.24578 11.50027 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015686 B = 0.002665 C = 0.002393 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1784.571366 B =10505.300267 C =11698.033463 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.105 4.105 3 H 0.085 0.915 4 C -0.115 4.115 5 C -0.138 4.138 6 C 0.083 3.917 7 N -0.607 5.607 8 C 0.552 3.448 9 O -0.516 6.516 10 C -0.170 4.170 11 C -0.115 4.115 12 C 0.084 3.916 13 O -0.377 6.377 14 C 0.055 3.945 15 C -0.126 4.126 16 C 0.154 3.846 17 H 0.070 0.930 18 C -0.107 4.107 19 C -0.135 4.135 20 C 0.161 3.839 21 N -0.759 5.759 22 C -0.239 4.239 23 H 0.089 0.911 24 C 0.000 4.000 25 N -0.937 5.937 26 Si 0.886 3.114 27 H -0.285 1.285 28 H -0.292 1.292 29 H -0.278 1.278 30 H 0.065 0.935 31 H 0.050 0.950 32 H 0.053 0.947 33 H 0.064 0.936 34 H 0.062 0.938 35 H 0.071 0.929 36 H 0.071 0.929 37 H 0.066 0.934 38 H 0.108 0.892 39 H 0.136 0.864 40 H 0.113 0.887 41 H 0.074 0.926 42 H 0.101 0.899 43 H 0.057 0.943 44 H 0.089 0.911 45 H 0.102 0.898 46 H 0.089 0.911 47 H 0.073 0.927 48 H 0.055 0.945 49 H 0.060 0.940 50 H 0.026 0.974 51 H 0.024 0.976 52 H 0.359 0.641 53 H 0.258 0.742 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.695 -29.908 -16.776 34.397 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 -0.203 4.203 2 C -0.124 4.124 3 H 0.103 0.897 4 C -0.153 4.153 5 C -0.176 4.176 6 C -0.039 4.039 7 N -0.341 5.341 8 C 0.341 3.659 9 O -0.393 6.393 10 C -0.173 4.173 11 C -0.135 4.135 12 C 0.008 3.992 13 O -0.296 6.296 14 C -0.021 4.021 15 C -0.162 4.162 16 C 0.052 3.948 17 H 0.088 0.912 18 C -0.145 4.145 19 C -0.174 4.174 20 C 0.034 3.966 21 N -0.404 5.404 22 C -0.369 4.369 23 H 0.107 0.893 24 C -0.195 4.195 25 N -0.586 5.586 26 Si 0.716 3.284 27 H -0.211 1.211 28 H -0.218 1.218 29 H -0.204 1.204 30 H 0.084 0.916 31 H 0.069 0.931 32 H 0.072 0.928 33 H 0.083 0.917 34 H 0.081 0.919 35 H 0.089 0.911 36 H 0.090 0.910 37 H 0.084 0.916 38 H 0.126 0.874 39 H 0.154 0.846 40 H 0.131 0.869 41 H 0.092 0.908 42 H 0.119 0.881 43 H 0.075 0.925 44 H 0.107 0.893 45 H 0.119 0.881 46 H 0.107 0.893 47 H 0.091 0.909 48 H 0.074 0.926 49 H 0.079 0.921 50 H 0.044 0.956 51 H 0.042 0.958 52 H 0.192 0.808 53 H 0.068 0.932 Dipole moment (debyes) X Y Z Total from point charges 2.175 -29.611 -16.255 33.849 hybrid contribution 1.157 1.031 -0.703 1.702 sum 3.333 -28.580 -16.958 33.399 Atomic orbital electron populations 1.21870 0.94614 1.01755 1.02016 1.21556 0.97014 0.99819 0.94043 0.89683 1.21559 1.00336 0.95390 0.97993 1.22059 1.01814 0.96382 0.97345 1.22674 1.00335 0.96656 0.84277 1.47865 1.57068 1.11245 1.17920 1.18420 0.78695 0.87669 0.81111 1.90888 1.40916 1.63787 1.43718 1.20983 1.00106 0.93623 1.02581 1.23719 0.96877 0.97709 0.95170 1.21608 0.97682 0.88039 0.91858 1.88134 1.25045 1.58897 1.57526 1.22735 0.84274 0.94092 1.01021 1.21660 0.98764 0.95628 1.00131 1.21371 0.98219 0.78954 0.96263 0.91181 1.22068 1.02516 0.94292 0.95603 1.21932 1.00202 0.95626 0.99591 1.20550 0.96243 0.85024 0.94766 1.42758 1.51481 1.09501 1.36644 1.19112 1.19464 0.92566 1.05765 0.89278 1.24682 1.00029 0.96420 0.98391 1.69710 1.47148 1.07756 1.33974 0.86511 0.82050 0.78541 0.81262 1.21146 1.21802 1.20382 0.91568 0.93137 0.92761 0.91715 0.91947 0.91058 0.91013 0.91588 0.87431 0.84633 0.86945 0.90821 0.88066 0.92468 0.89259 0.88092 0.89293 0.90868 0.92629 0.92144 0.95643 0.95770 0.80847 0.93177 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.15 -1.66 8.21 37.16 0.31 -1.36 16 2 C -0.11 -1.10 2.41 -90.50 -0.22 -1.32 16 3 H 0.08 0.95 6.75 -51.93 -0.35 0.60 16 4 C -0.12 -0.92 5.43 -26.69 -0.14 -1.07 16 5 C -0.14 -0.94 5.75 -26.39 -0.15 -1.09 16 6 C 0.08 0.56 4.77 -3.49 -0.02 0.55 16 7 N -0.61 -6.15 2.39 -166.34 -0.40 -6.55 16 8 C 0.55 6.59 7.15 -12.66 -0.09 6.50 16 9 O -0.52 -8.04 11.95 5.27 0.06 -7.98 16 10 C -0.17 -1.56 5.52 -103.09 -0.57 -2.13 16 11 C -0.12 -1.00 9.56 -36.44 -0.35 -1.35 16 12 C 0.08 0.56 7.04 35.80 0.25 0.81 16 13 O -0.38 -2.94 10.83 -35.23 -0.38 -3.33 16 14 C 0.06 0.32 6.88 37.22 0.26 0.58 16 15 C -0.13 -0.77 4.24 -27.96 -0.12 -0.89 16 16 C 0.15 1.78 2.67 -67.60 -0.18 1.60 16 17 H 0.07 0.78 8.14 -51.92 -0.42 0.36 16 18 C -0.11 -1.59 2.76 -26.73 -0.07 -1.66 16 19 C -0.14 -2.25 5.17 -26.73 -0.14 -2.39 16 20 C 0.16 3.47 6.26 -4.04 -0.03 3.45 16 21 N -0.76 -19.48 5.41 -59.91 -0.32 -19.80 16 22 C -0.24 -7.21 10.47 -15.06 -0.16 -7.36 16 23 H 0.09 2.87 8.06 -52.49 -0.42 2.45 16 24 C 0.00 0.00 5.50 -17.43 -0.10 -0.10 16 25 N -0.94 -30.60 13.97 55.49 0.78 -29.83 16 26 Si 0.89 22.99 27.74 -169.99 -4.71 18.27 16 27 H -0.28 -7.29 7.11 56.52 0.40 -6.89 16 28 H -0.29 -7.60 7.11 56.52 0.40 -7.20 16 29 H -0.28 -6.78 6.52 56.52 0.37 -6.41 16 30 H 0.07 0.89 6.26 -51.94 -0.32 0.57 16 31 H 0.05 0.53 8.14 -51.93 -0.42 0.10 16 32 H 0.05 0.62 5.97 -51.93 -0.31 0.31 16 33 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.07 0.56 6.33 -51.92 -0.33 0.23 16 36 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 37 H 0.07 0.37 8.05 -51.93 -0.42 -0.04 16 38 H 0.11 0.61 3.50 -51.93 -0.18 0.43 16 39 H 0.14 1.31 7.40 -52.49 -0.39 0.92 16 40 H 0.11 0.56 8.14 -51.93 -0.42 0.14 16 41 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 42 H 0.10 0.39 8.14 -51.93 -0.42 -0.03 16 43 H 0.06 0.32 8.10 -51.93 -0.42 -0.10 16 44 H 0.09 0.50 7.52 -51.93 -0.39 0.11 16 45 H 0.10 0.50 5.40 -51.93 -0.28 0.22 16 46 H 0.09 1.46 4.87 -51.93 -0.25 1.21 16 47 H 0.07 1.21 6.62 -51.93 -0.34 0.87 16 48 H 0.05 0.91 8.14 -51.93 -0.42 0.49 16 49 H 0.06 0.97 6.49 -51.93 -0.34 0.63 16 50 H 0.03 0.57 8.14 -51.93 -0.42 0.14 16 51 H 0.02 0.54 8.14 -51.93 -0.42 0.12 16 52 H 0.36 8.88 5.53 -40.82 -0.23 8.65 16 53 H 0.26 7.99 8.31 -40.82 -0.34 7.65 16 LS Contribution 387.53 15.07 5.84 5.84 Total: -1.00 -35.59 387.53 -9.45 -45.04 By element: Atomic # 1 Polarization: 14.35 SS G_CDS: -8.79 Total: 5.56 kcal Atomic # 6 Polarization: -5.72 SS G_CDS: -1.52 Total: -7.24 kcal Atomic # 7 Polarization: -56.23 SS G_CDS: 0.05 Total: -56.18 kcal Atomic # 8 Polarization: -10.98 SS G_CDS: -0.32 Total: -11.30 kcal Atomic # 14 Polarization: 22.99 SS G_CDS: -4.71 Total: 18.27 kcal Total LS contribution 5.84 Total: 5.84 kcal Total: -35.59 -9.45 -45.04 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. ZINC001689122188.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 16.226 kcal (2) G-P(sol) polarization free energy of solvation -35.591 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -19.365 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.451 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.042 kcal (6) G-S(sol) free energy of system = (1) + (5) -28.816 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds