Wall clock time and date at job start Tue Mar 31 2020 23:43:14 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 1.53003 * 1 3 3 H 1.09003 * 109.46837 * 2 1 4 4 C 1.50702 * 109.47069 * 240.00553 * 2 1 3 5 5 H 1.08001 * 119.99923 * 239.99875 * 4 2 1 6 6 C 1.37877 * 119.99936 * 59.71923 * 4 2 1 7 7 N 1.31509 * 120.00231 * 0.28006 * 6 4 2 8 8 Si 1.86800 * 119.99731 * 180.27729 * 6 4 2 9 9 H 1.48500 * 109.47257 * 0.02562 * 8 6 4 10 10 H 1.48499 * 109.47067 * 120.00225 * 8 6 4 11 11 H 1.48504 * 109.46765 * 240.00088 * 8 6 4 12 12 N 1.46495 * 109.47236 * 120.00258 * 2 1 3 13 13 C 1.34778 * 120.00085 * 274.99812 * 12 2 1 14 14 O 1.21278 * 119.99889 * 0.02562 * 13 12 2 15 15 C 1.50700 * 120.00235 * 180.02562 * 13 12 2 16 16 H 1.09000 * 109.45721 * 59.99842 * 15 13 12 17 17 C 1.53045 * 109.45757 * 300.03113 * 15 13 12 18 18 C 1.53192 * 109.30920 * 178.60344 * 17 15 13 19 19 N 1.46920 * 108.76981 * 54.64852 * 18 17 15 20 20 C 1.34776 * 120.62865 * 126.40365 * 19 18 17 21 21 O 1.21512 * 119.99936 * 185.07132 * 20 19 18 22 22 O 1.34642 * 120.00128 * 5.06993 * 20 19 18 23 23 C 1.45202 * 117.00100 * 179.97438 * 22 20 19 24 24 C 1.53002 * 109.46768 * 60.00102 * 23 22 20 25 25 C 1.53001 * 109.46993 * 180.02562 * 23 22 20 26 26 C 1.52998 * 109.47239 * 299.99920 * 23 22 20 27 27 C 1.46922 * 118.74281 * 306.38973 * 19 18 17 28 28 H 1.09007 * 109.58448 * 293.81821 * 27 19 18 29 29 C 1.52995 * 109.58842 * 173.39277 * 27 19 18 30 30 C 1.53037 * 109.46162 * 179.97438 * 15 13 12 31 31 H 1.09006 * 109.47022 * 299.99746 * 1 2 3 32 32 H 1.09000 * 109.47071 * 59.99626 * 1 2 3 33 33 H 1.09003 * 109.46837 * 180.02562 * 1 2 3 34 34 H 0.97001 * 120.00160 * 180.02562 * 7 6 4 35 35 H 0.97000 * 119.99846 * 95.00482 * 12 2 1 36 36 H 1.08997 * 109.49265 * 298.56131 * 17 15 13 37 37 H 1.08998 * 109.49944 * 58.65743 * 17 15 13 38 38 H 1.09005 * 109.59633 * 294.86265 * 18 17 15 39 39 H 1.09000 * 109.69772 * 174.50660 * 18 17 15 40 40 H 1.09003 * 109.47087 * 60.00172 * 24 23 22 41 41 H 1.09002 * 109.46686 * 179.97438 * 24 23 22 42 42 H 1.08992 * 109.47127 * 299.99565 * 24 23 22 43 43 H 1.09000 * 109.47040 * 59.99992 * 25 23 22 44 44 H 1.09002 * 109.47106 * 179.97438 * 25 23 22 45 45 H 1.08998 * 109.46987 * 300.00330 * 25 23 22 46 46 H 1.09005 * 109.47019 * 60.00268 * 26 23 22 47 47 H 1.08998 * 109.47263 * 179.97438 * 26 23 22 48 48 H 1.09000 * 109.47174 * 300.00240 * 26 23 22 49 49 H 1.09002 * 109.47467 * 304.27595 * 29 27 19 50 50 H 1.09000 * 109.47474 * 64.27870 * 29 27 19 51 51 H 1.09001 * 109.47507 * 184.27885 * 29 27 19 52 52 H 1.09004 * 109.49845 * 301.33633 * 30 15 13 53 53 H 1.08997 * 109.50149 * 61.39949 * 30 15 13 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 1.8933 1.0277 0.0000 4 6 2.0324 -0.7103 -1.2306 5 1 2.6533 -1.5884 -1.1315 6 6 1.6945 -0.2425 -2.4828 7 7 0.9384 0.8267 -2.6034 8 14 2.3108 -1.1275 -4.0080 9 1 3.1364 -2.2938 -3.6039 10 1 1.1524 -1.5959 -4.8105 11 1 3.1330 -0.1966 -4.8221 12 7 2.0184 -0.6906 1.1961 13 6 2.1471 -0.0183 2.3571 14 8 1.8583 1.1583 2.4117 15 6 2.6501 -0.7286 3.5874 16 1 3.6494 -1.1203 3.3975 17 6 1.7065 -1.8836 3.9308 18 6 2.2396 -2.6246 5.1610 19 7 2.4299 -1.6570 6.2500 20 6 1.8666 -1.8622 7.4571 21 8 1.9539 -1.0119 8.3207 22 8 1.2071 -3.0093 7.7061 23 6 0.6263 -3.1622 9.0280 24 6 -0.3886 -2.0434 9.2716 25 6 -0.0761 -4.5182 9.1227 26 6 1.7319 -3.0865 10.0828 27 6 3.2462 -0.4616 5.9984 28 1 4.2814 -0.7558 5.8254 29 6 3.1710 0.4744 7.2062 30 6 2.7020 0.2550 4.7586 31 1 -0.3633 0.5138 0.8901 32 1 -0.3633 0.5139 -0.8899 33 1 -0.3633 -1.0277 0.0005 34 1 0.7004 1.1556 -3.4843 35 1 2.2491 -1.6318 1.1524 36 1 0.7129 -1.4901 4.1451 37 1 1.6516 -2.5717 3.0872 38 1 3.1927 -3.0953 4.9197 39 1 1.5237 -3.3864 5.4698 40 1 -1.1763 -2.0975 8.5201 41 1 -0.8250 -2.1585 10.2638 42 1 0.1122 -1.0777 9.2043 43 1 0.6472 -5.3150 8.9493 44 1 -0.5118 -4.6332 10.1152 45 1 -0.8637 -4.5726 8.3712 46 1 2.2327 -2.1206 10.0156 47 1 1.2958 -3.2008 11.0752 48 1 2.4549 -3.8835 9.9092 49 1 2.1283 0.7107 7.4185 50 1 3.6165 -0.0140 8.0728 51 1 3.7145 1.3937 6.9880 52 1 3.3558 1.0893 4.5043 53 1 1.6990 0.6286 4.9648 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 ZINC000931159299.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 23:43:14 Heat of formation + Delta-G solvation = -120.356475 kcal Electronic energy + Delta-G solvation = -31464.141884 eV Core-core repulsion = 27335.960577 eV Total energy + Delta-G solvation = -4128.181307 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.01 seconds Orbital eigenvalues (eV) -41.23056 -39.63361 -38.28721 -36.52916 -34.84950 -34.43921 -33.07566 -32.43209 -32.16003 -28.91692 -27.70574 -27.61821 -27.60676 -25.34056 -25.09067 -23.24742 -22.43505 -21.13415 -20.43480 -19.46330 -19.20829 -17.68933 -17.10557 -16.75273 -16.38977 -15.74993 -15.67361 -15.27629 -14.82270 -14.78374 -14.48247 -14.27449 -14.07403 -13.82193 -13.69474 -13.22287 -12.92240 -12.80193 -12.55130 -12.53246 -12.45090 -12.38423 -12.17103 -11.99026 -11.90670 -11.72845 -11.65281 -11.56380 -11.27950 -11.14109 -11.09724 -10.98147 -10.82138 -10.65014 -10.63683 -10.49327 -10.30943 -10.25203 -9.40275 -9.05817 -9.03272 -8.71279 -8.55716 -7.90984 -6.13693 -4.23056 1.99419 2.72900 3.22150 3.29985 3.32358 3.37809 3.62332 4.04049 4.35469 4.46729 4.51208 4.62428 4.65652 4.70256 4.88957 4.96217 5.11484 5.18547 5.19699 5.20547 5.27712 5.29300 5.35425 5.42251 5.49395 5.50849 5.54214 5.61004 5.67608 5.72235 5.76016 5.84903 5.93423 6.03212 6.07350 6.08791 6.12884 6.25591 6.33724 6.38496 6.58467 6.81547 6.95840 7.14661 7.30308 7.46113 7.55429 7.68474 7.90734 8.14329 8.25191 8.66631 8.77383 9.13282 9.44873 10.92238 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021173 B = 0.002307 C = 0.002216 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1322.152667 B =12133.394627 C =12631.019016 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C 0.264 3.736 3 H 0.047 0.953 4 C -0.533 4.533 5 H 0.061 0.939 6 C 0.065 3.935 7 N -0.883 5.883 8 Si 0.901 3.099 9 H -0.273 1.273 10 H -0.283 1.283 11 H -0.283 1.283 12 N -0.708 5.708 13 C 0.505 3.495 14 O -0.554 6.554 15 C -0.110 4.110 16 H 0.094 0.906 17 C -0.125 4.125 18 C 0.114 3.886 19 N -0.591 5.591 20 C 0.653 3.347 21 O -0.563 6.563 22 O -0.367 6.367 23 C 0.136 3.864 24 C -0.183 4.183 25 C -0.141 4.141 26 C -0.182 4.182 27 C 0.158 3.842 28 H 0.076 0.924 29 C -0.137 4.137 30 C -0.109 4.109 31 H 0.014 0.986 32 H 0.090 0.910 33 H 0.026 0.974 34 H 0.264 0.736 35 H 0.387 0.613 36 H 0.073 0.927 37 H 0.085 0.915 38 H 0.072 0.928 39 H 0.093 0.907 40 H 0.059 0.941 41 H 0.067 0.933 42 H 0.088 0.912 43 H 0.065 0.935 44 H 0.078 0.922 45 H 0.066 0.934 46 H 0.088 0.912 47 H 0.067 0.933 48 H 0.057 0.943 49 H 0.074 0.926 50 H 0.071 0.929 51 H 0.048 0.952 52 H 0.086 0.914 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.736 -10.817 23.043 25.515 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 -0.205 4.205 2 C 0.162 3.838 3 H 0.065 0.935 4 C -0.571 4.571 5 H 0.079 0.921 6 C -0.138 4.138 7 N -0.521 5.521 8 Si 0.729 3.271 9 H -0.197 1.197 10 H -0.209 1.209 11 H -0.209 1.209 12 N -0.356 5.356 13 C 0.289 3.711 14 O -0.433 6.433 15 C -0.132 4.132 16 H 0.112 0.888 17 C -0.164 4.164 18 C -0.008 4.008 19 N -0.332 5.332 20 C 0.408 3.592 21 O -0.453 6.453 22 O -0.282 6.282 23 C 0.100 3.900 24 C -0.240 4.240 25 C -0.198 4.198 26 C -0.239 4.239 27 C 0.057 3.943 28 H 0.094 0.906 29 C -0.194 4.194 30 C -0.147 4.147 31 H 0.033 0.967 32 H 0.108 0.892 33 H 0.045 0.955 34 H 0.074 0.926 35 H 0.220 0.780 36 H 0.092 0.908 37 H 0.103 0.897 38 H 0.091 0.909 39 H 0.112 0.888 40 H 0.078 0.922 41 H 0.086 0.914 42 H 0.107 0.893 43 H 0.084 0.916 44 H 0.097 0.903 45 H 0.085 0.915 46 H 0.107 0.893 47 H 0.086 0.914 48 H 0.077 0.923 49 H 0.093 0.907 50 H 0.090 0.910 51 H 0.066 0.934 52 H 0.104 0.896 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges 1.418 -9.626 23.221 25.177 hybrid contribution 0.324 -0.995 -1.050 1.482 sum 1.742 -10.621 22.172 24.646 Atomic orbital electron populations 1.22072 0.98529 0.99033 1.00863 1.18730 0.90979 0.93971 0.80123 0.93473 1.21254 1.32273 1.13244 0.90339 0.92061 1.24898 0.94822 0.94972 0.99093 1.69912 1.35857 1.22527 1.23765 0.86400 0.78583 0.79533 0.82607 1.19747 1.20889 1.20883 1.46530 1.65015 1.13463 1.10581 1.20320 0.78703 0.87424 0.84604 1.90656 1.51225 1.16211 1.85181 1.21359 1.00622 0.96672 0.94534 0.88819 1.21919 0.99605 0.97069 0.97812 1.21744 1.01876 0.90873 0.86317 1.47120 1.52442 1.24622 1.09013 1.18086 0.77355 0.80671 0.83042 1.90949 1.63791 1.44303 1.46224 1.86303 1.66485 1.38516 1.36868 1.22017 0.92849 0.96459 0.78704 1.22510 0.98872 1.00513 1.02133 1.21858 1.00669 0.94429 1.02843 1.22505 0.98709 1.04567 0.98119 1.21380 0.92995 0.83559 0.96382 0.90579 1.22228 1.03816 0.97407 0.95942 1.21822 1.03516 0.97511 0.91875 0.96737 0.89182 0.95531 0.92632 0.78021 0.90822 0.89683 0.90947 0.88844 0.92197 0.91363 0.89282 0.91559 0.90292 0.91453 0.89324 0.91364 0.92348 0.90715 0.91035 0.93371 0.89574 0.90603 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -3.63 9.26 37.16 0.34 -3.28 16 2 C 0.26 6.63 2.56 -69.08 -0.18 6.45 16 3 H 0.05 1.38 7.58 -51.93 -0.39 0.99 16 4 C -0.53 -13.92 8.73 -34.44 -0.30 -14.23 16 5 H 0.06 1.53 7.74 -52.49 -0.41 1.12 16 6 C 0.07 1.74 5.30 -17.82 -0.09 1.65 16 7 N -0.88 -24.79 11.31 55.43 0.63 -24.16 16 8 Si 0.90 20.44 29.54 -169.99 -5.02 15.42 16 9 H -0.27 -6.03 7.11 56.52 0.40 -5.63 16 10 H -0.28 -6.38 7.11 56.52 0.40 -5.98 16 11 H -0.28 -6.45 7.11 56.52 0.40 -6.04 16 12 N -0.71 -14.21 4.95 -54.93 -0.27 -14.48 16 13 C 0.51 9.64 7.12 -10.98 -0.08 9.56 16 14 O -0.55 -13.00 15.64 5.56 0.09 -12.91 16 15 C -0.11 -1.48 2.49 -91.73 -0.23 -1.71 16 16 H 0.09 1.08 8.14 -51.93 -0.42 0.66 16 17 C -0.13 -1.42 5.27 -26.61 -0.14 -1.56 16 18 C 0.11 1.10 6.43 -3.71 -0.02 1.08 16 19 N -0.59 -6.68 2.97 -170.98 -0.51 -7.18 16 20 C 0.65 8.00 7.64 54.05 0.41 8.41 16 21 O -0.56 -7.47 7.28 -19.28 -0.14 -7.61 16 22 O -0.37 -4.08 8.55 -40.33 -0.34 -4.43 16 23 C 0.14 1.24 1.13 -90.62 -0.10 1.14 16 24 C -0.18 -1.69 8.37 37.16 0.31 -1.38 16 25 C -0.14 -0.94 8.85 37.16 0.33 -0.61 16 26 C -0.18 -1.56 8.37 37.16 0.31 -1.25 16 27 C 0.16 1.77 3.49 -67.61 -0.24 1.54 16 28 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 29 C -0.14 -1.59 7.59 37.15 0.28 -1.30 16 30 C -0.11 -1.44 3.94 -26.61 -0.10 -1.54 16 31 H 0.01 0.34 8.14 -51.93 -0.42 -0.09 16 32 H 0.09 2.43 6.06 -51.93 -0.31 2.12 16 33 H 0.03 0.60 8.14 -51.93 -0.42 0.18 16 34 H 0.26 7.00 8.31 -40.82 -0.34 6.66 16 35 H 0.39 6.62 7.94 -40.82 -0.32 6.30 16 36 H 0.07 0.96 8.14 -51.93 -0.42 0.53 16 37 H 0.08 0.87 7.53 -51.93 -0.39 0.48 16 38 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 39 H 0.09 0.85 6.96 -51.93 -0.36 0.49 16 40 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 41 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 42 H 0.09 1.02 5.88 -51.93 -0.31 0.71 16 43 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 44 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 45 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 46 H 0.09 0.95 5.88 -51.93 -0.31 0.64 16 47 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 48 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 49 H 0.07 1.00 6.74 -51.93 -0.35 0.65 16 50 H 0.07 0.86 6.76 -51.93 -0.35 0.51 16 51 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 52 H 0.09 1.18 8.07 -51.93 -0.42 0.77 16 53 H 0.08 1.16 8.13 -51.93 -0.42 0.73 16 LS Contribution 405.67 15.07 6.11 6.11 Total: -1.00 -31.23 405.67 -8.35 -39.58 By element: Atomic # 1 Polarization: 16.08 SS G_CDS: -9.40 Total: 6.69 kcal Atomic # 6 Polarization: 2.47 SS G_CDS: 0.50 Total: 2.98 kcal Atomic # 7 Polarization: -45.67 SS G_CDS: -0.15 Total: -45.83 kcal Atomic # 8 Polarization: -24.55 SS G_CDS: -0.40 Total: -24.95 kcal Atomic # 14 Polarization: 20.44 SS G_CDS: -5.02 Total: 15.42 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -31.23 -8.35 -39.58 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. ZINC000931159299.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 -80.779 kcal (2) G-P(sol) polarization free energy of solvation -31.227 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.005 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.351 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.578 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.356 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.01 seconds