Wall clock time and date at job start Sat Apr 11 2020 06:11:29 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 1.52994 * 1 3 3 H 1.08998 * 109.47076 * 2 1 4 4 C 1.50700 * 109.47081 * 120.00523 * 2 1 3 5 5 H 1.07995 * 120.00155 * 120.00468 * 4 2 1 6 6 C 1.37877 * 119.99498 * 299.99473 * 4 2 1 7 7 N 1.31516 * 119.99702 * 180.02562 * 6 4 2 8 8 Si 1.86796 * 120.00282 * 0.02562 * 6 4 2 9 9 H 1.48495 * 109.47468 * 89.99590 * 8 6 4 10 10 H 1.48508 * 109.47085 * 209.99916 * 8 6 4 11 11 H 1.48501 * 109.47027 * 329.99343 * 8 6 4 12 12 C 1.50706 * 109.47018 * 240.00082 * 2 1 3 13 13 O 1.21281 * 120.00167 * 274.93302 * 12 2 1 14 14 N 1.34777 * 119.99838 * 94.93707 * 12 2 1 15 15 C 1.48150 * 127.83834 * 354.86507 * 14 12 2 16 16 C 1.54382 * 104.61811 * 219.58846 * 15 14 12 17 17 H 1.09001 * 110.34035 * 95.00493 * 16 15 14 18 18 N 1.46495 * 110.34580 * 217.26399 * 16 15 14 19 19 C 1.34781 * 120.00255 * 273.55376 * 18 16 15 20 20 O 1.21508 * 119.99477 * 359.97438 * 19 18 16 21 21 O 1.34630 * 120.00318 * 180.02562 * 19 18 16 22 22 C 1.45203 * 117.00371 * 179.97438 * 21 19 18 23 23 C 1.53006 * 109.46884 * 59.99686 * 22 21 19 24 24 C 1.52996 * 109.47501 * 179.97438 * 22 21 19 25 25 C 1.53001 * 109.47011 * 299.99860 * 22 21 19 26 26 C 1.54287 * 104.96310 * 336.13989 * 16 15 14 27 27 C 1.52998 * 110.34678 * 118.86765 * 26 16 15 28 28 C 1.53001 * 110.34039 * 241.02276 * 26 16 15 29 29 C 1.48145 * 127.83893 * 174.87389 * 14 12 2 30 30 H 1.09001 * 109.47322 * 185.28138 * 1 2 3 31 31 H 1.08997 * 109.47294 * 305.28284 * 1 2 3 32 32 H 1.08999 * 109.47215 * 65.28628 * 1 2 3 33 33 H 0.97002 * 120.00399 * 180.02562 * 7 6 4 34 34 H 1.09003 * 110.39995 * 100.80462 * 15 14 12 35 35 H 1.08995 * 110.40373 * 338.38071 * 15 14 12 36 36 H 0.96996 * 120.00286 * 93.54306 * 18 16 15 37 37 H 1.09002 * 109.47120 * 60.00273 * 23 22 21 38 38 H 1.09000 * 109.47055 * 180.02562 * 23 22 21 39 39 H 1.09001 * 109.47084 * 300.00235 * 23 22 21 40 40 H 1.09002 * 109.46730 * 59.99790 * 24 22 21 41 41 H 1.08995 * 109.47457 * 180.02562 * 24 22 21 42 42 H 1.09002 * 109.47235 * 300.00175 * 24 22 21 43 43 H 1.09001 * 109.47147 * 59.99649 * 25 22 21 44 44 H 1.08995 * 109.46995 * 179.97438 * 25 22 21 45 45 H 1.09002 * 109.46982 * 300.00064 * 25 22 21 46 46 H 1.09004 * 109.46579 * 59.99901 * 27 26 16 47 47 H 1.09000 * 109.46910 * 179.97438 * 27 26 16 48 48 H 1.08997 * 109.47458 * 300.00192 * 27 26 16 49 49 H 1.09000 * 109.47166 * 59.99543 * 28 26 16 50 50 H 1.08998 * 109.47490 * 179.97438 * 28 26 16 51 51 H 1.09004 * 109.47324 * 300.00064 * 28 26 16 52 52 H 1.09001 * 110.40199 * 21.62588 * 29 14 12 53 53 H 1.08998 * 110.50893 * 259.24723 * 29 14 12 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 1.5299 0.0000 0.0000 3 1 1.8933 1.0276 0.0000 4 6 2.0323 -0.7105 1.2304 5 1 2.6532 -1.5885 1.1313 6 6 1.6992 -0.2394 2.4827 7 7 2.1380 -0.8592 3.5565 8 14 0.6248 1.2790 2.6541 9 1 -0.8028 0.8728 2.6997 10 1 0.9760 1.9950 3.9069 11 1 0.8472 2.1765 1.4921 12 6 2.0323 -0.7104 -1.2305 13 8 2.1493 -1.9176 -1.2286 14 7 2.3516 -0.0042 -2.3332 15 6 2.1794 1.4492 -2.5630 16 6 1.7139 1.5590 -4.0309 17 1 0.6262 1.6077 -4.0808 18 7 2.3073 2.7380 -4.6665 19 6 1.7020 3.9375 -4.5599 20 8 0.6639 4.0409 -3.9369 21 8 2.2470 5.0210 -5.1444 22 6 1.5402 6.2798 -4.9886 23 6 1.4342 6.6245 -3.5017 24 6 2.3054 7.3877 -5.7152 25 6 0.1366 6.1537 -5.5843 26 6 2.2247 0.2703 -4.7083 27 6 1.0500 -0.5498 -5.2453 28 6 3.1946 0.6133 -5.8408 29 6 2.9542 -0.5053 -3.5904 30 1 -0.3634 -1.0233 0.0946 31 1 -0.3634 0.5936 0.8389 32 1 -0.3633 0.4296 -0.9335 33 1 1.9034 -0.5280 4.4375 34 1 3.1266 1.9706 -2.4246 35 1 1.4209 1.8527 -1.8924 36 1 3.1358 2.6555 -5.1640 37 1 2.4342 6.7143 -3.0773 38 1 0.9033 7.5692 -3.3847 39 1 0.8893 5.8352 -2.9837 40 1 2.3813 7.1422 -6.7745 41 1 1.7752 8.3327 -5.5978 42 1 3.3053 7.4774 -5.2905 43 1 -0.4084 5.3645 -5.0663 44 1 -0.3941 7.0985 -5.4669 45 1 0.2121 5.9081 -6.6436 46 1 0.4983 0.0414 -5.9763 47 1 1.4265 -1.4555 -5.7207 48 1 0.3884 -0.8192 -4.4221 49 1 4.0445 1.1636 -5.4372 50 1 3.5466 -0.3061 -6.3087 51 1 2.6840 1.2268 -6.5832 52 1 2.7800 -1.5762 -3.6948 53 1 4.0226 -0.2907 -3.6138 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 ZINC000927902159.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 06:11:29 Heat of formation + Delta-G solvation = -108.066126 kcal Electronic energy + Delta-G solvation = -32035.493362 eV Core-core repulsion = 27907.845005 eV Total energy + Delta-G solvation = -4127.648358 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -41.14043 -40.05114 -38.15858 -36.96766 -34.63321 -33.88972 -33.81013 -33.16663 -31.15401 -28.69866 -27.68956 -27.60757 -27.58956 -26.50522 -25.14980 -23.92305 -22.44622 -21.74457 -20.32687 -19.36477 -18.48197 -18.30388 -16.93962 -16.81016 -16.29003 -16.06510 -15.79861 -15.30391 -14.94506 -14.89851 -14.53466 -14.38246 -14.09079 -13.79731 -13.54673 -13.23554 -13.04371 -12.90286 -12.77346 -12.51439 -12.45011 -12.39821 -12.24281 -12.16066 -12.13300 -12.06247 -11.73275 -11.71197 -11.51894 -11.47562 -11.16405 -11.09397 -10.94827 -10.76617 -10.58930 -10.57703 -10.25080 -10.19475 -9.64515 -9.41599 -9.15050 -8.73264 -8.57584 -8.27262 -6.06913 -4.07304 1.94876 2.69208 3.26351 3.34641 3.37765 3.41309 3.50274 3.95993 4.19014 4.38421 4.45461 4.45983 4.50253 4.60036 4.64380 4.99838 5.02965 5.18103 5.19062 5.23452 5.27651 5.32930 5.34669 5.42061 5.43350 5.49267 5.51567 5.61787 5.64513 5.67520 5.71522 5.77464 5.82683 5.86694 5.89870 6.00188 6.03428 6.07217 6.13752 6.21721 6.23470 6.32882 6.38378 6.51171 6.60291 6.82173 7.18890 7.23902 7.56586 8.07582 8.23222 8.50866 9.02228 9.05162 9.51763 11.05989 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010707 B = 0.003659 C = 0.002917 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2614.469000 B = 7651.054046 C = 9597.466912 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.003 3.997 3 H 0.043 0.957 4 C -0.504 4.504 5 H 0.086 0.914 6 C 0.073 3.927 7 N -0.895 5.895 8 Si 0.884 3.116 9 H -0.277 1.277 10 H -0.295 1.295 11 H -0.266 1.266 12 C 0.557 3.443 13 O -0.532 6.532 14 N -0.633 5.633 15 C 0.093 3.907 16 C 0.157 3.843 17 H 0.106 0.894 18 N -0.703 5.703 19 C 0.648 3.352 20 O -0.563 6.563 21 O -0.366 6.366 22 C 0.137 3.863 23 C -0.186 4.186 24 C -0.140 4.140 25 C -0.184 4.184 26 C -0.086 4.086 27 C -0.135 4.135 28 C -0.144 4.144 29 C 0.111 3.889 30 H 0.062 0.938 31 H 0.048 0.952 32 H 0.033 0.967 33 H 0.265 0.735 34 H 0.071 0.929 35 H 0.091 0.909 36 H 0.408 0.592 37 H 0.060 0.940 38 H 0.069 0.931 39 H 0.090 0.910 40 H 0.065 0.935 41 H 0.080 0.920 42 H 0.067 0.933 43 H 0.089 0.911 44 H 0.069 0.931 45 H 0.058 0.942 46 H 0.057 0.943 47 H 0.063 0.937 48 H 0.063 0.937 49 H 0.061 0.939 50 H 0.068 0.932 51 H 0.064 0.936 52 H 0.086 0.914 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.198 14.886 -24.132 28.355 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 -0.199 4.199 2 C -0.019 4.019 3 H 0.061 0.939 4 C -0.542 4.542 5 H 0.104 0.896 6 C -0.129 4.129 7 N -0.533 5.533 8 Si 0.714 3.286 9 H -0.203 1.203 10 H -0.222 1.222 11 H -0.192 1.192 12 C 0.349 3.651 13 O -0.406 6.406 14 N -0.370 5.370 15 C -0.033 4.033 16 C 0.052 3.948 17 H 0.124 0.876 18 N -0.365 5.365 19 C 0.401 3.599 20 O -0.451 6.451 21 O -0.281 6.281 22 C 0.100 3.900 23 C -0.243 4.243 24 C -0.198 4.198 25 C -0.241 4.241 26 C -0.087 4.087 27 C -0.193 4.193 28 C -0.202 4.202 29 C -0.013 4.013 30 H 0.081 0.919 31 H 0.066 0.934 32 H 0.052 0.948 33 H 0.075 0.925 34 H 0.089 0.911 35 H 0.109 0.891 36 H 0.246 0.754 37 H 0.079 0.921 38 H 0.088 0.912 39 H 0.109 0.891 40 H 0.084 0.916 41 H 0.098 0.902 42 H 0.086 0.914 43 H 0.107 0.893 44 H 0.088 0.912 45 H 0.077 0.923 46 H 0.076 0.924 47 H 0.082 0.918 48 H 0.082 0.918 49 H 0.079 0.921 50 H 0.087 0.913 51 H 0.083 0.917 52 H 0.104 0.896 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges -0.291 14.267 -23.491 27.486 hybrid contribution -0.209 0.978 0.067 1.002 sum -0.500 15.245 -23.424 27.953 Atomic orbital electron populations 1.22055 0.96825 1.02004 0.99030 1.19295 0.93503 0.97161 0.91938 0.93906 1.20801 1.32455 1.13662 0.87325 0.89644 1.24934 0.95688 0.96625 0.95645 1.69878 1.45339 1.40152 0.97895 0.86910 0.80889 0.83726 0.77085 1.20342 1.22223 1.19152 1.21072 0.74802 0.87178 0.82069 1.90591 1.53063 1.14572 1.82368 1.49168 1.64577 1.08217 1.15016 1.22708 1.01982 0.83070 0.95494 1.21985 0.99222 0.82024 0.91596 0.87644 1.45036 1.28807 1.05066 1.57584 1.18137 0.82226 0.81333 0.78157 1.90930 1.23926 1.85066 1.45192 1.86283 1.53575 1.16980 1.71280 1.22064 0.91851 0.79459 0.96613 1.22535 1.03184 1.03744 0.94811 1.21859 1.00909 0.96212 1.00775 1.22519 0.95930 1.04319 1.01304 1.21772 0.96998 0.94333 0.95626 1.21838 0.96884 0.99403 1.01154 1.21839 0.98417 1.02427 0.97487 1.22329 0.96440 0.99829 0.82670 0.91891 0.93360 0.94791 0.92481 0.91051 0.89104 0.75370 0.92053 0.91165 0.89147 0.91561 0.90166 0.91438 0.89251 0.91176 0.92286 0.92390 0.91836 0.91778 0.92064 0.91306 0.91695 0.89591 0.91430 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.14 -3.15 8.58 37.15 0.32 -2.83 16 2 C 0.00 0.07 1.69 -92.92 -0.16 -0.09 16 3 H 0.04 1.01 6.07 -51.93 -0.32 0.69 16 4 C -0.50 -14.80 8.90 -34.44 -0.31 -15.11 16 5 H 0.09 2.83 7.50 -52.49 -0.39 2.43 16 6 C 0.07 2.14 5.45 -17.82 -0.10 2.05 16 7 N -0.89 -27.85 13.96 55.43 0.77 -27.08 16 8 Si 0.88 21.90 24.32 -169.99 -4.13 17.76 16 9 H -0.28 -6.67 6.92 56.52 0.39 -6.28 16 10 H -0.29 -7.28 7.11 56.52 0.40 -6.88 16 11 H -0.27 -6.22 6.53 56.52 0.37 -5.85 16 12 C 0.56 12.62 6.90 -10.98 -0.08 12.54 16 13 O -0.53 -13.85 16.37 5.56 0.09 -13.76 16 14 N -0.63 -10.94 3.32 -169.31 -0.56 -11.50 16 15 C 0.09 1.35 6.30 -2.41 -0.02 1.34 16 16 C 0.16 1.81 2.99 -66.54 -0.20 1.61 16 17 H 0.11 1.35 7.22 -51.93 -0.38 0.97 16 18 N -0.70 -7.07 4.60 -57.36 -0.26 -7.33 16 19 C 0.65 7.81 8.05 54.06 0.44 8.25 16 20 O -0.56 -8.21 11.58 -19.28 -0.22 -8.44 16 21 O -0.37 -3.93 9.94 -40.30 -0.40 -4.33 16 22 C 0.14 1.26 1.13 -90.62 -0.10 1.16 16 23 C -0.19 -1.82 8.37 37.16 0.31 -1.51 16 24 C -0.14 -0.91 8.85 37.16 0.33 -0.58 16 25 C -0.18 -1.65 8.37 37.16 0.31 -1.33 16 26 C -0.09 -0.86 1.03 -153.11 -0.16 -1.02 16 27 C -0.14 -1.33 8.24 37.16 0.31 -1.02 16 28 C -0.14 -1.00 7.10 37.16 0.26 -0.74 16 29 C 0.11 1.48 6.16 -2.41 -0.01 1.46 16 30 H 0.06 1.44 8.14 -51.93 -0.42 1.02 16 31 H 0.05 1.09 3.42 -51.93 -0.18 0.91 16 32 H 0.03 0.64 8.14 -51.93 -0.42 0.22 16 33 H 0.27 7.68 8.31 -40.82 -0.34 7.34 16 34 H 0.07 0.99 8.06 -51.93 -0.42 0.57 16 35 H 0.09 1.47 7.15 -51.93 -0.37 1.10 16 36 H 0.41 3.19 5.91 -40.82 -0.24 2.95 16 37 H 0.06 0.59 8.14 -51.93 -0.42 0.16 16 38 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 39 H 0.09 1.13 5.88 -51.93 -0.31 0.83 16 40 H 0.07 0.40 8.14 -51.93 -0.42 -0.03 16 41 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 42 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 43 H 0.09 1.02 5.88 -51.93 -0.31 0.72 16 44 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 45 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 46 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 47 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 48 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 49 H 0.06 0.38 6.96 -51.93 -0.36 0.02 16 50 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 51 H 0.06 0.41 7.73 -51.93 -0.40 0.01 16 52 H 0.09 1.25 7.57 -51.93 -0.39 0.85 16 53 H 0.07 0.82 7.83 -51.93 -0.41 0.41 16 LS Contribution 404.08 15.07 6.09 6.09 Total: -1.00 -34.81 404.08 -6.62 -41.42 By element: Atomic # 1 Polarization: 12.13 SS G_CDS: -9.14 Total: 2.99 kcal Atomic # 6 Polarization: 3.02 SS G_CDS: 1.15 Total: 4.17 kcal Atomic # 7 Polarization: -45.86 SS G_CDS: -0.05 Total: -45.91 kcal Atomic # 8 Polarization: -25.99 SS G_CDS: -0.53 Total: -26.53 kcal Atomic # 14 Polarization: 21.90 SS G_CDS: -4.13 Total: 17.76 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -34.81 -6.62 -41.42 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. ZINC000927902159.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 -66.642 kcal (2) G-P(sol) polarization free energy of solvation -34.805 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.447 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -6.619 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.424 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.066 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds