Wall clock time and date at job start Sat Apr 11 2020 06:10:37 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 1.53001 * 1 3 3 H 1.09003 * 109.70248 * 2 1 4 4 C 1.53626 * 109.66379 * 120.58482 * 2 1 3 5 5 H 1.09004 * 109.65702 * 54.54566 * 4 2 1 6 6 N 1.46496 * 109.43508 * 294.42496 * 4 2 1 7 7 C 1.34775 * 120.00439 * 155.28748 * 6 4 2 8 8 O 1.21284 * 119.99924 * 359.97438 * 7 6 4 9 9 C 1.50696 * 120.00319 * 179.97438 * 7 6 4 10 10 C 1.52998 * 109.47532 * 179.97438 * 9 7 6 11 11 O 1.42895 * 109.47470 * 179.97438 * 10 9 7 12 12 C 1.42894 * 114.00443 * 180.02562 * 11 10 9 13 13 C 1.53172 * 109.54551 * 269.56261 * 12 11 10 14 14 C 1.53095 * 109.16386 * 183.15027 * 13 12 11 15 15 O 1.42901 * 109.41691 * 57.60367 * 14 13 12 16 16 C 1.42892 * 114.10046 * 298.84561 * 15 14 13 17 17 C 1.53095 * 109.41586 * 61.15408 * 16 15 14 18 18 C 1.53036 * 109.24126 * 174.54776 * 4 2 1 19 19 C 1.53039 * 109.54094 * 298.51196 * 18 4 2 20 20 C 1.53194 * 109.30955 * 61.36698 * 19 18 4 21 21 N 1.46919 * 108.77599 * 305.36645 * 20 19 18 22 22 C 1.36944 * 120.63155 * 233.58594 * 21 20 19 23 23 H 1.07998 * 120.00218 * 149.69824 * 22 21 20 24 24 C 1.38811 * 119.99734 * 329.71104 * 22 21 20 25 25 N 1.31617 * 120.00198 * 145.08738 * 24 22 21 26 26 Si 1.86805 * 119.99783 * 325.08444 * 24 22 21 27 27 H 1.48497 * 109.47416 * 270.00468 * 26 24 22 28 28 H 1.48504 * 109.46853 * 30.00706 * 26 24 22 29 29 H 1.48504 * 109.46694 * 150.00204 * 26 24 22 30 30 H 1.08999 * 109.47021 * 180.35450 * 1 2 3 31 31 H 1.08994 * 109.47311 * 300.35935 * 1 2 3 32 32 H 1.09005 * 109.46654 * 60.35998 * 1 2 3 33 33 H 0.97004 * 119.99610 * 335.28083 * 6 4 2 34 34 H 1.09008 * 109.47596 * 300.00604 * 9 7 6 35 35 H 1.09007 * 109.47119 * 59.99806 * 9 7 6 36 36 H 1.08994 * 109.47458 * 300.00992 * 10 9 7 37 37 H 1.09004 * 109.46312 * 60.00208 * 10 9 7 38 38 H 1.09005 * 109.53928 * 29.83079 * 12 11 10 39 39 H 1.08997 * 109.52217 * 303.05479 * 13 12 11 40 40 H 1.08997 * 109.52625 * 63.24120 * 13 12 11 41 41 H 1.09005 * 109.48027 * 297.62281 * 14 13 12 42 42 H 1.09003 * 109.48948 * 177.59795 * 14 13 12 43 43 H 1.08999 * 109.48204 * 301.17668 * 16 15 14 44 44 H 1.09002 * 109.49506 * 181.14421 * 16 15 14 45 45 H 1.09004 * 109.52287 * 182.48781 * 17 16 15 46 46 H 1.09000 * 109.52311 * 62.29866 * 17 16 15 47 47 H 1.09004 * 109.45792 * 178.49110 * 18 4 2 48 48 H 1.08998 * 109.45941 * 58.54123 * 18 4 2 49 49 H 1.09001 * 109.49798 * 301.41625 * 19 18 4 50 50 H 1.08996 * 109.49750 * 181.31714 * 19 18 4 51 51 H 1.08997 * 109.58568 * 185.57741 * 20 19 18 52 52 H 1.08997 * 109.58636 * 65.15238 * 20 19 18 53 53 H 0.96996 * 120.00138 * 355.11194 * 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 1.8975 1.0262 0.0000 4 6 2.0470 -0.7361 1.2454 5 1 1.6096 -1.7336 1.2897 6 7 1.6731 0.0154 2.4461 7 6 1.5565 -0.6192 3.6293 8 8 1.7607 -1.8127 3.7000 9 6 1.1724 0.1539 4.8645 10 6 1.1100 -0.7961 6.0621 11 8 0.7464 -0.0629 7.2334 12 6 0.6600 -0.8611 8.4155 13 6 -0.7680 -1.3927 8.5716 14 6 -0.8706 -2.1807 9.8802 15 8 -0.5008 -1.3372 10.9729 16 6 0.8402 -0.8485 10.9049 17 6 1.0116 -0.0071 9.6375 18 6 3.5711 -0.8497 1.1677 19 6 3.9615 -1.6628 -0.0686 20 6 3.4657 -0.9421 -1.3262 21 7 2.0227 -0.6996 -1.1944 22 6 1.1538 -1.1128 -2.1689 23 1 0.1432 -1.3911 -1.9087 24 6 1.5720 -1.1741 -3.4911 25 7 1.1158 -2.1217 -4.2824 26 14 2.7825 0.0884 -4.1472 27 1 2.0375 1.2496 -4.6965 28 1 3.6679 0.5444 -3.0457 29 1 3.6044 -0.5254 -5.2211 30 1 -0.3633 -1.0276 0.0064 31 1 -0.3633 0.5194 0.8867 32 1 -0.3633 0.5083 -0.8933 33 1 1.5095 0.9699 2.3894 34 1 1.9150 0.9292 5.0535 35 1 0.1959 0.6149 4.7156 36 1 0.3673 -1.5711 5.8729 37 1 2.0864 -1.2574 6.2111 38 1 1.3558 -1.6970 8.3426 39 1 -1.4674 -0.5570 8.5938 40 1 -1.0070 -2.0467 7.7330 41 1 -0.2004 -3.0395 9.8410 42 1 -1.8955 -2.5254 10.0177 43 1 1.5328 -1.6898 10.8790 44 1 1.0480 -0.2334 11.7805 45 1 2.0454 0.3300 9.5611 46 1 0.3482 0.8567 9.6812 47 1 3.9442 -1.3478 2.0627 48 1 4.0065 0.1472 1.0992 49 1 3.5061 -2.6515 -0.0125 50 1 5.0460 -1.7631 -0.1105 51 1 3.6532 -1.5639 -2.2016 52 1 3.9878 0.0088 -1.4322 53 1 0.5434 -2.8184 -3.9248 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 ZINC001676894903.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 06:10:37 Heat of formation + Delta-G solvation = -120.800452 kcal Electronic energy + Delta-G solvation = -30352.809539 eV Core-core repulsion = 26224.608980 eV Total energy + Delta-G solvation = -4128.200559 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 2.31 seconds Orbital eigenvalues (eV) -40.15064 -39.81544 -38.11691 -37.57331 -34.45492 -33.36512 -32.80295 -31.84514 -31.59566 -31.23099 -29.62506 -26.45458 -25.13026 -24.63173 -24.15316 -23.64508 -21.99430 -20.88146 -20.77148 -20.20763 -19.46168 -17.75753 -17.05996 -16.72305 -16.57973 -16.28111 -16.14180 -15.84861 -15.30782 -14.98472 -14.73606 -14.58858 -14.32574 -14.07633 -13.70418 -13.63600 -13.44783 -13.38441 -13.20675 -12.82533 -12.51514 -12.29930 -12.06129 -11.93007 -11.79313 -11.64764 -11.50248 -11.44473 -11.22646 -11.16822 -10.81686 -10.70811 -10.53007 -10.45839 -10.32274 -10.14741 -9.97482 -9.81403 -9.67054 -9.55761 -9.21013 -8.81995 -8.28098 -7.00593 -6.36191 -3.29783 2.68360 2.87667 3.40158 3.49828 3.55491 3.62692 3.69902 4.28303 4.32930 4.49489 4.58924 4.63918 4.65375 4.73832 4.79842 4.84194 4.93081 4.96575 5.07850 5.18030 5.20614 5.21657 5.32988 5.34823 5.37192 5.45619 5.50616 5.55597 5.57334 5.57793 5.68791 5.73893 5.77825 5.88942 6.02691 6.18042 6.26776 6.30411 6.40757 6.48672 6.52782 6.61376 6.70825 6.81768 6.82851 6.87332 6.92677 7.05855 7.61795 8.08129 8.30327 8.44710 9.01597 9.62124 10.22097 11.03009 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.030720 B = 0.001846 C = 0.001816 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 911.235280 B =15162.095878 C =15413.791908 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C 0.165 3.835 3 H 0.030 0.970 4 C 0.130 3.870 5 H 0.087 0.913 6 N -0.718 5.718 7 C 0.515 3.485 8 O -0.545 6.545 9 C -0.140 4.140 10 C 0.078 3.922 11 O -0.382 6.382 12 C 0.091 3.909 13 C -0.180 4.180 14 C 0.063 3.937 15 O -0.383 6.383 16 C 0.063 3.937 17 C -0.153 4.153 18 C -0.117 4.117 19 C -0.136 4.136 20 C 0.140 3.860 21 N -0.590 5.590 22 C -0.361 4.361 23 H 0.069 0.931 24 C 0.006 3.994 25 N -0.899 5.899 26 Si 1.016 2.984 27 H -0.298 1.298 28 H -0.269 1.269 29 H -0.295 1.295 30 H 0.054 0.946 31 H 0.038 0.962 32 H 0.065 0.935 33 H 0.398 0.602 34 H 0.100 0.900 35 H 0.100 0.900 36 H 0.058 0.942 37 H 0.057 0.943 38 H 0.063 0.937 39 H 0.081 0.919 40 H 0.077 0.923 41 H 0.052 0.948 42 H 0.098 0.902 43 H 0.052 0.948 44 H 0.100 0.900 45 H 0.080 0.920 46 H 0.081 0.919 47 H 0.053 0.947 48 H 0.055 0.945 49 H 0.062 0.938 50 H 0.055 0.945 51 H 0.067 0.933 52 H 0.031 0.969 53 H 0.267 0.733 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.792 5.244 27.187 27.699 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 -0.191 4.191 2 C 0.058 3.942 3 H 0.047 0.953 4 C 0.025 3.975 5 H 0.105 0.895 6 N -0.368 5.368 7 C 0.301 3.699 8 O -0.423 6.423 9 C -0.180 4.180 10 C 0.001 3.999 11 O -0.302 6.302 12 C 0.033 3.967 13 C -0.218 4.218 14 C -0.014 4.014 15 O -0.301 6.301 16 C -0.014 4.014 17 C -0.191 4.191 18 C -0.156 4.156 19 C -0.176 4.176 20 C 0.015 3.985 21 N -0.314 5.314 22 C -0.488 4.488 23 H 0.087 0.913 24 C -0.199 4.199 25 N -0.535 5.535 26 Si 0.845 3.155 27 H -0.226 1.226 28 H -0.195 1.195 29 H -0.221 1.221 30 H 0.073 0.927 31 H 0.057 0.943 32 H 0.084 0.916 33 H 0.231 0.769 34 H 0.118 0.882 35 H 0.119 0.881 36 H 0.076 0.924 37 H 0.076 0.924 38 H 0.081 0.919 39 H 0.100 0.900 40 H 0.096 0.904 41 H 0.070 0.930 42 H 0.116 0.884 43 H 0.070 0.930 44 H 0.118 0.882 45 H 0.099 0.901 46 H 0.100 0.900 47 H 0.072 0.928 48 H 0.074 0.926 49 H 0.081 0.919 50 H 0.074 0.926 51 H 0.086 0.914 52 H 0.049 0.951 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges 1.518 5.094 25.967 26.506 hybrid contribution -0.608 -0.267 0.923 1.137 sum 0.910 4.828 26.890 27.335 Atomic orbital electron populations 1.21773 0.95235 1.01799 1.00243 1.20714 0.93681 0.93318 0.86514 0.95283 1.21853 0.94904 0.97087 0.83682 0.89473 1.46110 1.69990 1.12356 1.08315 1.20308 0.77113 0.87912 0.84593 1.90714 1.50499 1.15203 1.85904 1.21481 1.04778 0.99596 0.92133 1.22167 1.00187 0.93580 0.83928 1.87848 1.90405 1.35766 1.16165 1.22057 0.95763 0.93508 0.85366 1.22744 0.98447 1.01792 0.98818 1.22574 1.01380 0.92005 0.85418 1.87944 1.29923 1.66933 1.45333 1.22586 0.83915 0.97152 0.97700 1.22305 1.03380 0.99925 0.93512 1.21756 0.95569 1.00001 0.98246 1.22071 0.99424 0.99980 0.96086 1.21439 0.84598 0.96936 0.95551 1.44354 1.02373 1.65477 1.19228 1.20029 0.97135 1.44307 0.87355 0.91289 1.26151 1.01242 1.00101 0.92380 1.70887 1.32528 1.10303 1.39807 0.84625 0.77000 0.77607 0.76238 1.22610 1.19521 1.22138 0.92712 0.94273 0.91647 0.76863 0.88197 0.88128 0.92398 0.92433 0.91925 0.89988 0.90434 0.92985 0.88388 0.92968 0.88219 0.90108 0.89997 0.92846 0.92642 0.91927 0.92617 0.91441 0.95141 0.92289 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.13 -2.41 7.84 37.16 0.29 -2.12 16 2 C 0.17 3.11 3.05 -67.37 -0.21 2.90 16 3 H 0.03 0.53 8.14 -51.93 -0.42 0.11 16 4 C 0.13 2.21 2.02 -67.59 -0.14 2.08 16 5 H 0.09 1.77 7.58 -51.93 -0.39 1.38 16 6 N -0.72 -9.48 4.60 -53.47 -0.25 -9.73 16 7 C 0.52 6.98 7.79 -10.99 -0.09 6.89 16 8 O -0.55 -9.60 15.65 5.55 0.09 -9.51 16 9 C -0.14 -1.37 6.07 -27.89 -0.17 -1.54 16 10 C 0.08 0.82 5.04 37.16 0.19 1.00 16 11 O -0.38 -3.87 10.00 -35.23 -0.35 -4.22 16 12 C 0.09 0.76 2.70 -26.55 -0.07 0.69 16 13 C -0.18 -1.40 5.76 -26.59 -0.15 -1.55 16 14 C 0.06 0.44 6.84 37.21 0.25 0.69 16 15 O -0.38 -3.25 10.76 -35.23 -0.38 -3.63 16 16 C 0.06 0.40 6.84 37.21 0.25 0.65 16 17 C -0.15 -1.08 5.79 -26.59 -0.15 -1.23 16 18 C -0.12 -1.93 5.46 -26.69 -0.15 -2.08 16 19 C -0.14 -2.46 6.08 -26.61 -0.16 -2.62 16 20 C 0.14 2.97 4.37 -3.71 -0.02 2.95 16 21 N -0.59 -13.47 2.67 -164.53 -0.44 -13.90 16 22 C -0.36 -9.61 8.67 -15.06 -0.13 -9.74 16 23 H 0.07 1.96 6.45 -52.49 -0.34 1.62 16 24 C 0.01 0.16 4.83 -17.43 -0.08 0.07 16 25 N -0.90 -26.99 13.70 55.49 0.76 -26.23 16 26 Si 1.02 24.62 27.08 -169.99 -4.60 20.02 16 27 H -0.30 -7.24 7.11 56.52 0.40 -6.84 16 28 H -0.27 -5.96 4.73 56.52 0.27 -5.69 16 29 H -0.29 -7.30 7.11 56.52 0.40 -6.90 16 30 H 0.05 1.09 7.44 -51.93 -0.39 0.71 16 31 H 0.04 0.57 7.82 -51.93 -0.41 0.16 16 32 H 0.06 1.28 7.63 -51.93 -0.40 0.88 16 33 H 0.40 4.12 8.60 -40.82 -0.35 3.77 16 34 H 0.10 0.81 8.14 -51.92 -0.42 0.39 16 35 H 0.10 0.85 8.14 -51.93 -0.42 0.43 16 36 H 0.06 0.64 7.95 -51.93 -0.41 0.23 16 37 H 0.06 0.63 8.04 -51.93 -0.42 0.21 16 38 H 0.06 0.50 7.79 -51.93 -0.40 0.09 16 39 H 0.08 0.69 8.14 -51.93 -0.42 0.27 16 40 H 0.08 0.59 8.00 -51.93 -0.42 0.18 16 41 H 0.05 0.32 8.14 -51.93 -0.42 -0.11 16 42 H 0.10 0.57 8.14 -51.93 -0.42 0.14 16 43 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 44 H 0.10 0.48 8.14 -51.93 -0.42 0.06 16 45 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 46 H 0.08 0.63 8.14 -51.93 -0.42 0.21 16 47 H 0.05 0.88 8.14 -51.93 -0.42 0.46 16 48 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 49 H 0.06 1.22 8.14 -51.93 -0.42 0.80 16 50 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 51 H 0.07 1.55 6.00 -51.93 -0.31 1.24 16 52 H 0.03 0.63 6.55 -51.93 -0.34 0.29 16 53 H 0.27 7.99 8.73 -40.82 -0.36 7.63 16 LS Contribution 405.13 15.07 6.11 6.11 Total: -1.00 -32.10 405.13 -9.37 -41.47 By element: Atomic # 1 Polarization: 12.34 SS G_CDS: -9.78 Total: 2.56 kcal Atomic # 6 Polarization: -2.41 SS G_CDS: -0.53 Total: -2.94 kcal Atomic # 7 Polarization: -49.94 SS G_CDS: 0.08 Total: -49.86 kcal Atomic # 8 Polarization: -16.71 SS G_CDS: -0.64 Total: -17.36 kcal Atomic # 14 Polarization: 24.62 SS G_CDS: -4.60 Total: 20.02 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -32.10 -9.37 -41.47 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. ZINC001676894903.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 -79.331 kcal (2) G-P(sol) polarization free energy of solvation -32.099 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -111.429 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.371 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.470 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.800 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.31 seconds