Wall clock time and date at job start Tue Mar 31 2020 20:51:52 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 H 1.09000 * 109.87158 * 2 1 4 4 O 1.43748 * 109.87627 * 238.83817 * 2 1 3 5 5 C 1.44374 * 106.97632 * 267.08786 * 4 2 1 6 6 C 1.55349 * 103.50353 * 319.90944 * 5 4 2 7 7 C 1.54102 * 109.88238 * 121.00789 * 2 1 3 8 8 C 1.52993 * 110.49005 * 236.20440 * 7 2 1 9 9 C 1.50701 * 110.48516 * 358.71708 * 7 2 1 10 10 O 1.21280 * 120.00229 * 114.99611 * 9 7 2 11 11 N 1.34774 * 119.99910 * 294.99829 * 9 7 2 12 12 C 1.49724 * 122.75871 * 177.78911 * 11 9 7 13 13 C 1.53161 * 105.60178 * 111.34098 * 12 11 9 14 14 C 1.50957 * 111.96092 * 99.83566 * 13 12 11 15 15 H 1.08998 * 109.52444 * 58.24835 * 14 13 12 16 16 C 1.53589 * 111.30870 * 178.51035 * 14 13 12 17 17 N 1.47181 * 105.64804 * 150.28966 * 16 14 13 18 18 C 1.36940 * 126.09595 * 149.71917 * 17 16 14 19 19 H 1.08006 * 120.00060 * 347.03335 * 18 17 16 20 20 C 1.38805 * 119.99889 * 167.02891 * 18 17 16 21 21 N 1.31614 * 120.00424 * 357.77216 * 20 18 17 22 22 Si 1.86805 * 119.99986 * 177.76859 * 20 18 17 23 23 H 1.48501 * 109.47146 * 0.02562 * 22 20 18 24 24 H 1.48501 * 109.47122 * 119.99933 * 22 20 18 25 25 H 1.48499 * 109.46949 * 240.00426 * 22 20 18 26 26 C 1.46773 * 107.80387 * 329.73799 * 17 16 14 27 27 C 1.53836 * 107.90866 * 20.29903 * 26 17 16 28 28 H 1.08992 * 111.00963 * 117.82111 * 27 26 17 29 29 C 1.51867 * 109.23006 * 241.13034 * 27 26 17 30 30 C 1.43640 * 122.75942 * 357.50220 * 11 9 7 31 31 H 1.09009 * 109.46768 * 316.31592 * 1 2 3 32 32 H 1.09001 * 109.47227 * 76.31654 * 1 2 3 33 33 H 1.09001 * 109.47316 * 196.31853 * 1 2 3 34 34 H 1.09006 * 110.61734 * 78.44096 * 5 4 2 35 35 H 1.09005 * 110.62279 * 201.28237 * 5 4 2 36 36 H 1.08995 * 110.95980 * 278.91662 * 6 5 4 37 37 H 1.08998 * 111.00909 * 155.20787 * 6 5 4 38 38 H 1.08999 * 109.47035 * 205.90073 * 8 7 2 39 39 H 1.08997 * 109.47064 * 325.89614 * 8 7 2 40 40 H 1.08999 * 109.47860 * 85.89771 * 8 7 2 41 41 H 1.08998 * 110.21901 * 230.36351 * 12 11 9 42 42 H 1.09006 * 110.21142 * 352.18648 * 12 11 9 43 43 H 1.09004 * 108.98948 * 220.47713 * 13 12 11 44 44 H 1.09010 * 108.98154 * 339.19751 * 13 12 11 45 45 H 1.08995 * 110.20901 * 269.33433 * 16 14 13 46 46 H 1.08992 * 110.21420 * 31.24793 * 16 14 13 47 47 H 0.97000 * 120.00334 * 179.97438 * 21 20 18 48 48 H 1.08999 * 109.77857 * 260.68204 * 26 17 16 49 49 H 1.09000 * 109.77807 * 139.90386 * 26 17 16 50 50 H 1.09004 * 108.91257 * 320.65661 * 29 27 26 51 51 H 1.08996 * 108.91663 * 79.29221 * 29 27 26 52 52 H 1.09004 * 108.42284 * 359.60075 * 30 11 9 53 53 H 1.08989 * 108.43117 * 116.86403 * 30 11 9 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 1.9005 1.0251 0.0000 4 8 2.0187 -0.6995 -1.1568 5 6 2.2280 -2.0724 -0.7620 6 6 2.8346 -1.9516 0.6630 7 6 2.0541 -0.7465 1.2421 8 6 2.9858 0.1545 2.0549 9 6 0.9062 -1.2222 2.0948 10 8 0.7116 -2.4102 2.2420 11 7 0.0958 -0.3274 2.6939 12 6 -1.0901 -0.7304 3.5143 13 6 -0.7368 -0.3615 4.9582 14 6 -1.3711 0.9421 5.3791 15 1 -2.4538 0.8707 5.2750 16 6 -1.0375 1.2790 6.8400 17 7 -1.0376 2.7487 6.9184 18 6 -1.3656 3.4980 8.0167 19 1 -1.8545 3.0340 8.8606 20 6 -1.0698 4.8539 8.0454 21 7 -0.4348 5.4104 7.0358 22 14 -1.5729 5.8887 9.5169 23 1 -2.2680 5.0315 10.5105 24 1 -0.3637 6.4857 10.1389 25 1 -2.4864 6.9714 9.0715 26 6 -0.6240 3.2680 5.6094 27 6 -0.8513 2.1594 4.5674 28 1 -1.5801 2.4701 3.8189 29 6 0.4774 1.7918 3.9302 30 6 0.3022 1.0912 2.6029 31 1 -0.3633 0.7432 0.7099 32 1 -0.3634 0.2431 -0.9985 33 1 -0.3634 -0.9863 0.2887 34 1 1.2812 -2.6118 -0.7321 35 1 2.9273 -2.5640 -1.4384 36 1 3.9021 -1.7369 0.6155 37 1 2.6462 -2.8533 1.2457 38 1 3.6831 -0.4618 2.6225 39 1 3.5421 0.8049 1.3800 40 1 2.3962 0.7621 2.7413 41 1 -1.9753 -0.1825 3.1914 42 1 -1.2602 -1.8037 3.4285 43 1 -1.0823 -1.1544 5.6216 44 1 0.3461 -0.2738 5.0469 45 1 -1.7965 0.8663 7.5044 46 1 -0.0542 0.8881 7.1015 47 1 -0.2284 6.3580 7.0557 48 1 0.4317 3.5380 5.6366 49 1 -1.2221 4.1426 5.3538 50 1 1.0589 2.7008 3.7761 51 1 1.0234 1.1339 4.6063 52 1 1.1909 1.2719 1.9982 53 1 -0.5532 1.5317 2.0911 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 ZINC000946697073.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 20:51:52 Heat of formation + Delta-G solvation = -27.319263 kcal Electronic energy + Delta-G solvation = -32097.880012 eV Core-core repulsion = 28164.189153 eV Total energy + Delta-G solvation = -3933.690859 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.23 seconds Orbital eigenvalues (eV) -41.70497 -39.45040 -38.13198 -36.19180 -34.29012 -33.08242 -32.18556 -31.47756 -30.59264 -28.97409 -27.69777 -27.39085 -25.02314 -24.36933 -23.21183 -22.93592 -22.05355 -21.54915 -20.26900 -19.00761 -18.28814 -17.55039 -16.92960 -16.66368 -16.29988 -15.65381 -15.25180 -14.81666 -14.76758 -14.62879 -14.37837 -13.87637 -13.79892 -13.60548 -13.25768 -13.09271 -12.93985 -12.78959 -12.59104 -12.40216 -12.23900 -12.09207 -11.99125 -11.71911 -11.39820 -11.32698 -11.25044 -11.16380 -10.96849 -10.92405 -10.77968 -10.76306 -10.62439 -10.06431 -9.92262 -9.89562 -9.83980 -9.71720 -9.60263 -9.57343 -8.68355 -8.58506 -6.81212 -5.77164 -3.11097 2.47667 2.83712 3.36905 3.43163 3.45159 3.63754 4.02775 4.24765 4.46524 4.49742 4.60556 4.77609 4.85825 4.95427 4.98979 5.00121 5.10168 5.18694 5.19774 5.25013 5.32390 5.36265 5.40699 5.45315 5.48728 5.52473 5.59103 5.63825 5.71826 5.73795 5.75061 5.81319 5.86083 5.90314 5.99233 6.03237 6.07643 6.14632 6.20296 6.28378 6.44051 6.48486 6.59639 6.60339 6.66831 6.80595 7.00892 7.43434 7.51033 7.60560 7.77369 8.04396 8.26068 9.19088 9.79570 10.49471 11.35871 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.025567 B = 0.002848 C = 0.002726 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1094.890230 B = 9829.011944 C =10270.153430 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.198 4.198 2 C 0.089 3.911 3 H 0.103 0.897 4 O -0.370 6.370 5 C 0.046 3.954 6 C -0.137 4.137 7 C -0.113 4.113 8 C -0.159 4.159 9 C 0.544 3.456 10 O -0.543 6.543 11 N -0.604 5.604 12 C 0.115 3.885 13 C -0.126 4.126 14 C -0.098 4.098 15 H 0.063 0.937 16 C 0.139 3.861 17 N -0.600 5.600 18 C -0.228 4.228 19 H 0.076 0.924 20 C -0.006 4.006 21 N -0.918 5.918 22 Si 0.910 3.090 23 H -0.280 1.280 24 H -0.290 1.290 25 H -0.290 1.290 26 C 0.178 3.822 27 C -0.103 4.103 28 H 0.067 0.933 29 C -0.130 4.130 30 C 0.088 3.912 31 H 0.088 0.912 32 H 0.066 0.934 33 H 0.059 0.941 34 H 0.062 0.938 35 H 0.094 0.906 36 H 0.084 0.916 37 H 0.099 0.901 38 H 0.067 0.933 39 H 0.073 0.927 40 H 0.084 0.916 41 H 0.078 0.922 42 H 0.086 0.914 43 H 0.064 0.936 44 H 0.074 0.926 45 H 0.038 0.962 46 H 0.014 0.986 47 H 0.252 0.748 48 H 0.030 0.970 49 H 0.059 0.941 50 H 0.076 0.924 51 H 0.072 0.928 52 H 0.087 0.913 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.566 -12.079 -15.086 19.858 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 -0.255 4.255 2 C 0.031 3.969 3 H 0.121 0.879 4 O -0.289 6.289 5 C -0.030 4.030 6 C -0.175 4.175 7 C -0.116 4.116 8 C -0.216 4.216 9 C 0.332 3.668 10 O -0.421 6.421 11 N -0.337 5.337 12 C -0.006 4.006 13 C -0.164 4.164 14 C -0.118 4.118 15 H 0.081 0.919 16 C 0.013 3.987 17 N -0.324 5.324 18 C -0.357 4.357 19 H 0.093 0.907 20 C -0.203 4.203 21 N -0.566 5.566 22 Si 0.741 3.259 23 H -0.205 1.205 24 H -0.217 1.217 25 H -0.217 1.217 26 C 0.053 3.947 27 C -0.123 4.123 28 H 0.086 0.914 29 C -0.168 4.168 30 C -0.035 4.035 31 H 0.106 0.894 32 H 0.085 0.915 33 H 0.078 0.922 34 H 0.080 0.920 35 H 0.112 0.888 36 H 0.102 0.898 37 H 0.117 0.883 38 H 0.086 0.914 39 H 0.092 0.908 40 H 0.103 0.897 41 H 0.097 0.903 42 H 0.105 0.895 43 H 0.083 0.917 44 H 0.092 0.908 45 H 0.057 0.943 46 H 0.032 0.968 47 H 0.062 0.938 48 H 0.048 0.952 49 H 0.078 0.922 50 H 0.095 0.905 51 H 0.091 0.909 52 H 0.105 0.895 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 4.526 -12.400 -15.137 20.084 hybrid contribution -0.301 0.644 1.062 1.277 sum 4.226 -11.756 -14.075 18.820 Atomic orbital electron populations 1.22905 0.95269 1.03588 1.03715 1.22859 0.94307 0.96456 0.83292 0.87889 1.88908 1.86043 1.21018 1.32906 1.23612 1.00163 0.84139 0.95086 1.23238 0.99612 0.98153 0.96461 1.22215 0.95287 0.98005 0.96119 1.22323 0.99262 0.99436 1.00545 1.19895 0.82249 0.85652 0.78959 1.90662 1.72377 1.16147 1.62926 1.48027 1.28009 1.06601 1.51028 1.22326 0.87035 1.01229 0.89977 1.21691 1.02120 0.97496 0.95092 1.21803 0.99522 0.93206 0.97260 0.91892 1.21275 0.97464 0.86916 0.93081 1.44330 1.79647 0.99153 1.09298 1.19075 1.31675 0.90621 0.94292 0.90663 1.24867 1.00011 0.97278 0.98116 1.69943 1.44891 1.11096 1.30622 0.86073 0.77659 0.80291 0.81911 1.20476 1.21720 1.21728 1.21102 0.98680 0.92549 0.82367 1.22237 0.95042 0.96855 0.98168 0.91412 1.21612 0.99225 1.00444 0.95549 1.21211 1.02546 0.80726 0.99028 0.89350 0.91465 0.92222 0.92011 0.88805 0.89776 0.88295 0.91400 0.90843 0.89738 0.90324 0.89523 0.91724 0.90765 0.94321 0.96846 0.93795 0.95243 0.92241 0.90523 0.90938 0.89510 0.91423 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.20 -1.99 8.09 37.16 0.30 -1.69 16 2 C 0.09 0.88 2.86 -26.16 -0.07 0.81 16 3 H 0.10 0.89 7.11 -51.93 -0.37 0.52 16 4 O -0.37 -4.14 11.19 -35.23 -0.39 -4.53 16 5 C 0.05 0.45 7.68 38.40 0.29 0.74 16 6 C -0.14 -1.32 6.04 -24.53 -0.15 -1.47 16 7 C -0.11 -1.15 0.62 -154.13 -0.10 -1.25 16 8 C -0.16 -1.43 7.88 37.15 0.29 -1.14 16 9 C 0.54 6.82 4.53 -10.99 -0.05 6.77 16 10 O -0.54 -8.42 15.12 5.56 0.08 -8.34 16 11 N -0.60 -6.99 1.92 -174.28 -0.34 -7.33 16 12 C 0.12 1.38 6.25 -2.16 -0.01 1.36 16 13 C -0.13 -1.67 4.57 -27.67 -0.13 -1.80 16 14 C -0.10 -1.57 2.61 -90.13 -0.23 -1.80 16 15 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 16 C 0.14 2.80 6.71 -3.36 -0.02 2.78 16 17 N -0.60 -14.87 3.37 -171.60 -0.58 -15.45 16 18 C -0.23 -6.26 10.27 -15.06 -0.15 -6.42 16 19 H 0.08 2.02 7.83 -52.48 -0.41 1.61 16 20 C -0.01 -0.17 5.46 -17.44 -0.10 -0.26 16 21 N -0.92 -26.31 10.60 55.49 0.59 -25.72 16 22 Si 0.91 21.77 29.55 -169.99 -5.02 16.74 16 23 H -0.28 -6.51 7.11 56.52 0.40 -6.11 16 24 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 25 H -0.29 -6.97 7.11 56.52 0.40 -6.57 16 26 C 0.18 4.04 4.98 -3.46 -0.02 4.02 16 27 C -0.10 -1.70 3.12 -89.55 -0.28 -1.98 16 28 H 0.07 1.05 7.80 -51.93 -0.40 0.65 16 29 C -0.13 -1.75 3.82 -28.26 -0.11 -1.86 16 30 C 0.09 0.95 2.74 -6.51 -0.02 0.93 16 31 H 0.09 0.83 3.97 -51.92 -0.21 0.62 16 32 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 33 H 0.06 0.70 6.54 -51.93 -0.34 0.36 16 34 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 35 H 0.09 0.71 8.14 -51.93 -0.42 0.29 16 36 H 0.08 0.69 7.87 -51.93 -0.41 0.28 16 37 H 0.10 1.07 6.85 -51.93 -0.36 0.72 16 38 H 0.07 0.60 8.01 -51.93 -0.42 0.19 16 39 H 0.07 0.56 7.67 -51.93 -0.40 0.16 16 40 H 0.08 0.81 4.29 -51.93 -0.22 0.59 16 41 H 0.08 0.87 7.84 -51.93 -0.41 0.46 16 42 H 0.09 1.07 7.33 -51.93 -0.38 0.69 16 43 H 0.06 0.83 8.14 -51.93 -0.42 0.40 16 44 H 0.07 1.07 5.58 -51.92 -0.29 0.78 16 45 H 0.04 0.77 8.14 -51.93 -0.42 0.34 16 46 H 0.01 0.28 7.96 -51.93 -0.41 -0.13 16 47 H 0.25 7.00 8.31 -40.82 -0.34 6.66 16 48 H 0.03 0.73 7.14 -51.93 -0.37 0.36 16 49 H 0.06 1.53 7.09 -51.93 -0.37 1.16 16 50 H 0.08 1.04 7.66 -51.93 -0.40 0.64 16 51 H 0.07 1.06 5.78 -51.93 -0.30 0.76 16 52 H 0.09 0.80 3.26 -51.93 -0.17 0.64 16 53 H 0.07 0.69 6.22 -51.94 -0.32 0.37 16 LS Contribution 372.27 15.07 5.61 5.61 Total: -1.00 -31.20 372.27 -9.22 -40.42 By element: Atomic # 1 Polarization: 9.48 SS G_CDS: -8.62 Total: 0.86 kcal Atomic # 6 Polarization: -1.72 SS G_CDS: -0.55 Total: -2.27 kcal Atomic # 7 Polarization: -48.17 SS G_CDS: -0.33 Total: -48.50 kcal Atomic # 8 Polarization: -12.56 SS G_CDS: -0.31 Total: -12.87 kcal Atomic # 14 Polarization: 21.77 SS G_CDS: -5.02 Total: 16.74 kcal Total LS contribution 5.61 Total: 5.61 kcal Total: -31.20 -9.22 -40.42 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. ZINC000946697073.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 13.099 kcal (2) G-P(sol) polarization free energy of solvation -31.196 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -18.097 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.223 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.419 kcal (6) G-S(sol) free energy of system = (1) + (5) -27.319 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.23 seconds