Wall clock time and date at job start Tue Mar 31 2020 19:35:30 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 1.31003 * 1 3 3 C 1.50699 * 120.00321 * 2 1 4 4 C 1.50699 * 119.99583 * 179.97438 * 2 1 3 5 5 H 1.08997 * 109.47968 * 129.44978 * 4 2 1 6 6 O 1.42908 * 109.48278 * 9.41511 * 4 2 1 7 7 C 1.42907 * 114.09608 * 178.86175 * 6 4 2 8 8 C 1.53093 * 109.41753 * 61.15484 * 7 6 4 9 9 C 1.53177 * 109.16457 * 302.39040 * 8 7 6 10 10 C 1.53093 * 109.48270 * 249.46966 * 4 2 1 11 11 H 1.08999 * 109.52248 * 297.56508 * 10 4 2 12 12 C 1.50702 * 109.52126 * 57.68799 * 10 4 2 13 13 O 1.21289 * 120.00014 * 21.93280 * 12 10 4 14 14 N 1.34778 * 120.00385 * 201.94097 * 12 10 4 15 15 C 1.46506 * 119.99572 * 359.97438 * 14 12 10 16 16 C 1.46498 * 120.00362 * 179.97438 * 14 12 10 17 17 C 1.53041 * 109.45954 * 119.99496 * 16 14 12 18 18 C 1.53189 * 109.31261 * 181.38672 * 17 16 14 19 19 N 1.46925 * 108.77759 * 305.36488 * 18 17 16 20 20 C 1.36929 * 120.63275 * 233.59067 * 19 18 17 21 21 H 1.07999 * 120.00486 * 27.46916 * 20 19 18 22 22 C 1.38820 * 119.99912 * 207.47392 * 20 19 18 23 23 N 1.31619 * 120.00071 * 202.46728 * 22 20 19 24 24 Si 1.86798 * 120.00058 * 22.47446 * 22 20 19 25 25 H 1.48504 * 109.47074 * 270.00112 * 24 22 20 26 26 H 1.48507 * 109.46905 * 29.99690 * 24 22 20 27 27 H 1.48501 * 109.47414 * 149.99809 * 24 22 20 28 28 C 1.46936 * 118.73746 * 53.85787 * 19 18 17 29 29 C 1.53032 * 109.46036 * 240.06492 * 16 14 12 30 30 H 1.07999 * 120.00430 * 179.97438 * 1 2 3 31 31 H 1.07998 * 119.99545 * 0.02562 * 1 2 3 32 32 H 1.09001 * 109.46968 * 274.47147 * 3 2 1 33 33 H 1.08999 * 109.47112 * 34.47079 * 3 2 1 34 34 H 1.08992 * 109.47114 * 154.47217 * 3 2 1 35 35 H 1.08997 * 109.47697 * 181.14041 * 7 6 4 36 36 H 1.08999 * 109.47483 * 301.15831 * 7 6 4 37 37 H 1.09000 * 109.52087 * 62.29736 * 8 7 6 38 38 H 1.08998 * 109.51998 * 182.41756 * 8 7 6 39 39 H 1.08997 * 109.54281 * 297.11951 * 9 8 7 40 40 H 1.08996 * 109.54431 * 176.84550 * 9 8 7 41 41 H 1.08999 * 109.47431 * 270.00305 * 15 14 12 42 42 H 1.08998 * 109.47177 * 30.00842 * 15 14 12 43 43 H 1.09000 * 109.46522 * 150.00345 * 15 14 12 44 44 H 1.08999 * 109.44587 * 0.03163 * 16 14 12 45 45 H 1.09003 * 109.50167 * 61.43388 * 17 16 14 46 46 H 1.09005 * 109.49970 * 301.33538 * 17 16 14 47 47 H 1.08996 * 109.58988 * 185.57953 * 18 17 16 48 48 H 1.09003 * 109.58985 * 65.15243 * 18 17 16 49 49 H 0.96996 * 120.00135 * 354.92389 * 23 22 20 50 50 H 1.08997 * 109.58140 * 65.92767 * 28 19 18 51 51 H 1.08992 * 109.58640 * 186.35756 * 28 19 18 52 52 H 1.09012 * 109.49930 * 298.56429 * 29 16 14 53 53 H 1.09002 * 109.50247 * 58.62665 * 29 16 14 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 1.3100 0.0000 0.0000 3 6 2.0636 1.3051 0.0000 4 6 2.0634 -1.3051 0.0006 5 1 2.8106 -1.2939 -0.7929 6 8 1.1506 -2.3825 -0.2193 7 6 1.7680 -3.6706 -0.2631 8 6 2.4498 -3.9541 1.0780 9 6 3.4705 -2.8491 1.3667 10 6 2.7571 -1.4937 1.3523 11 1 3.4848 -0.6963 1.5026 12 6 1.7307 -1.4532 2.4550 13 8 0.5666 -1.6885 2.2089 14 7 2.1062 -1.1552 3.7146 15 6 3.5124 -0.8712 4.0119 16 6 1.1083 -1.1152 4.7865 17 6 1.4735 -2.1414 5.8616 18 6 0.4096 -2.1211 6.9635 19 7 0.2725 -0.7463 7.4634 20 6 0.3862 -0.4756 8.8008 21 1 0.9864 -1.1142 9.4320 22 6 -0.2700 0.6197 9.3455 23 7 0.1560 1.1483 10.4731 24 14 -1.7578 1.3434 8.4782 25 1 -1.3139 2.3953 7.5284 26 1 -2.4667 0.2716 7.7338 27 1 -2.6754 1.9387 9.4826 28 6 0.0052 0.3318 6.5014 29 6 1.0792 0.2847 5.4040 30 1 -0.5401 -0.9353 -0.0004 31 1 -0.5399 0.9353 -0.0004 32 1 2.1759 1.6597 -1.0246 33 1 1.5116 2.0433 0.5816 34 1 3.0483 1.1560 0.4428 35 1 1.0102 -4.4305 -0.4536 36 1 2.5112 -3.6904 -1.0603 37 1 1.7012 -3.9744 1.8700 38 1 2.9576 -4.9175 1.0320 39 1 4.2466 -2.8607 0.6015 40 1 3.9196 -3.0144 2.3460 41 1 4.0229 -1.7981 4.2733 42 1 3.9870 -0.4296 3.1357 43 1 3.5734 -0.1746 4.8480 44 1 0.1263 -1.3521 4.3771 45 1 2.4446 -1.8909 6.2888 46 1 1.5170 -3.1353 5.4161 47 1 0.7150 -2.7774 7.7784 48 1 -0.5438 -2.4589 6.5573 49 1 0.8815 0.7290 10.9616 50 1 -0.9805 0.1898 6.0583 51 1 0.0437 1.2943 7.0113 52 1 2.0540 0.5124 5.8355 53 1 0.8426 1.0177 4.6327 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 ZINC001006103528.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 19:35:30 Heat of formation + Delta-G solvation = -36.890070 kcal Electronic energy + Delta-G solvation = -31952.987233 eV Core-core repulsion = 28018.881352 eV Total energy + Delta-G solvation = -3934.105881 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.26 seconds Orbital eigenvalues (eV) -40.93804 -38.92614 -37.29599 -35.43628 -35.08140 -33.97151 -32.44686 -30.87143 -30.36048 -29.95358 -27.31948 -26.88476 -25.34400 -25.26644 -23.84042 -22.80515 -22.04763 -21.00583 -19.33236 -18.98385 -18.36904 -17.37270 -17.09325 -16.58268 -16.11851 -15.68515 -15.42816 -15.07692 -14.61169 -14.30804 -14.13426 -13.87876 -13.73436 -13.63674 -13.41535 -13.26140 -13.15253 -13.08724 -12.91840 -12.59662 -12.48851 -12.25034 -12.21506 -11.91355 -11.80992 -11.45536 -11.44225 -11.38294 -10.99798 -10.76794 -10.74345 -10.60527 -10.41527 -10.12831 -9.81485 -9.72911 -9.71285 -9.35705 -9.14854 -8.88870 -8.47096 -8.33005 -7.06943 -6.24896 -3.29957 2.28612 2.84244 3.11032 3.41342 3.56586 3.60161 3.71785 4.37235 4.43722 4.51300 4.58702 4.71860 4.72783 4.89788 4.94241 5.01569 5.10472 5.18279 5.19398 5.26579 5.29245 5.31110 5.39150 5.40409 5.43949 5.49450 5.52956 5.56044 5.60193 5.67436 5.74653 5.78664 5.83614 5.84400 5.99300 6.06134 6.11078 6.14482 6.22112 6.37113 6.43842 6.62447 6.65237 6.68460 6.71340 6.81154 6.83552 6.93370 7.25312 7.60354 8.01149 8.42591 8.44842 9.06905 9.62111 10.21689 11.14535 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.017829 B = 0.003369 C = 0.003144 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1570.102742 B = 8310.128756 C = 8903.799221 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C -0.159 4.159 3 C -0.110 4.110 4 C 0.153 3.847 5 H 0.065 0.935 6 O -0.353 6.353 7 C 0.064 3.936 8 C -0.159 4.159 9 C -0.110 4.110 10 C -0.138 4.138 11 H 0.098 0.902 12 C 0.521 3.479 13 O -0.514 6.514 14 N -0.612 5.612 15 C 0.076 3.924 16 C 0.148 3.852 17 C -0.137 4.137 18 C 0.149 3.851 19 N -0.605 5.605 20 C -0.344 4.344 21 H 0.066 0.934 22 C -0.016 4.016 23 N -0.921 5.921 24 Si 1.063 2.937 25 H -0.293 1.293 26 H -0.285 1.285 27 H -0.299 1.299 28 C 0.129 3.871 29 C -0.138 4.138 30 H 0.115 0.885 31 H 0.090 0.910 32 H 0.064 0.936 33 H 0.065 0.935 34 H 0.057 0.943 35 H 0.092 0.908 36 H 0.045 0.955 37 H 0.077 0.923 38 H 0.073 0.927 39 H 0.073 0.927 40 H 0.073 0.927 41 H 0.052 0.948 42 H 0.065 0.935 43 H 0.076 0.924 44 H 0.095 0.905 45 H 0.061 0.939 46 H 0.053 0.947 47 H 0.060 0.940 48 H 0.022 0.978 49 H 0.262 0.738 50 H 0.027 0.973 51 H 0.077 0.923 52 H 0.064 0.936 53 H 0.055 0.945 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 9.572 -6.101 -23.727 26.302 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 -0.170 4.170 2 C -0.159 4.159 3 C -0.167 4.167 4 C 0.095 3.905 5 H 0.083 0.917 6 O -0.271 6.271 7 C -0.013 4.013 8 C -0.197 4.197 9 C -0.148 4.148 10 C -0.159 4.159 11 H 0.116 0.884 12 C 0.308 3.692 13 O -0.389 6.389 14 N -0.345 5.345 15 C -0.068 4.068 16 C 0.046 3.954 17 C -0.177 4.177 18 C 0.022 3.978 19 N -0.329 5.329 20 C -0.473 4.473 21 H 0.083 0.917 22 C -0.218 4.218 23 N -0.560 5.560 24 Si 0.895 3.105 25 H -0.222 1.222 26 H -0.211 1.211 27 H -0.227 1.227 28 C 0.003 3.997 29 C -0.179 4.179 30 H 0.133 0.867 31 H 0.108 0.892 32 H 0.083 0.917 33 H 0.084 0.916 34 H 0.076 0.924 35 H 0.111 0.889 36 H 0.064 0.936 37 H 0.095 0.905 38 H 0.092 0.908 39 H 0.092 0.908 40 H 0.092 0.908 41 H 0.071 0.929 42 H 0.084 0.916 43 H 0.095 0.905 44 H 0.113 0.887 45 H 0.080 0.920 46 H 0.071 0.929 47 H 0.079 0.921 48 H 0.040 0.960 49 H 0.073 0.927 50 H 0.045 0.955 51 H 0.095 0.905 52 H 0.083 0.917 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges 7.636 -4.990 -23.777 25.466 hybrid contribution 1.731 -1.305 0.152 2.173 sum 9.367 -6.295 -23.624 26.182 Atomic orbital electron populations 1.23725 0.95411 1.02072 0.95804 1.21295 0.95843 0.93232 1.05520 1.20734 0.99805 0.94329 1.01812 1.20484 0.90497 0.86427 0.93138 0.91712 1.88035 1.33106 1.13588 1.92395 1.22501 0.97493 0.85869 0.95395 1.22209 0.99212 0.98529 0.99736 1.21532 0.97595 0.92711 1.02949 1.22057 0.98168 0.99985 0.95722 0.88371 1.20169 0.89435 0.76821 0.82776 1.90714 1.18690 1.47593 1.81876 1.48102 1.08640 1.69629 1.08155 1.21776 0.81989 1.01048 1.01965 1.21050 0.92389 0.95950 0.86016 1.22340 1.01130 0.97419 0.96838 1.20889 0.94808 0.87768 0.94327 1.44390 1.84472 1.00443 1.03578 1.20216 1.27664 1.15737 0.83675 0.91656 1.26170 1.01327 0.96246 0.98008 1.70912 1.29743 1.37107 1.18276 0.83811 0.76852 0.75537 0.74328 1.22176 1.21106 1.22682 1.21417 0.94676 0.93529 0.90100 1.22439 1.01592 0.95366 0.98466 0.86731 0.89201 0.91710 0.91584 0.92378 0.88939 0.93647 0.90472 0.90837 0.90832 0.90798 0.92950 0.91625 0.90548 0.88675 0.92030 0.92855 0.92107 0.95973 0.92740 0.95509 0.90494 0.91708 0.92657 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 -1.74 12.32 29.01 0.36 -1.38 16 2 C -0.16 -1.85 4.51 -101.07 -0.46 -2.30 16 3 C -0.11 -1.00 9.98 36.01 0.36 -0.64 16 4 C 0.15 1.67 2.57 -27.84 -0.07 1.60 16 5 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 6 O -0.35 -4.46 7.49 -55.48 -0.42 -4.87 16 7 C 0.06 0.62 6.84 37.21 0.25 0.87 16 8 C -0.16 -1.51 5.85 -26.59 -0.16 -1.66 16 9 C -0.11 -0.94 5.46 -26.55 -0.15 -1.08 16 10 C -0.14 -1.43 1.77 -91.63 -0.16 -1.59 16 11 H 0.10 0.85 5.43 -51.93 -0.28 0.57 16 12 C 0.52 7.32 5.25 -10.98 -0.06 7.27 16 13 O -0.51 -8.99 12.31 -14.70 -0.18 -9.18 16 14 N -0.61 -8.51 2.76 -173.89 -0.48 -8.99 16 15 C 0.08 0.81 8.79 59.85 0.53 1.34 16 16 C 0.15 2.51 2.48 -67.89 -0.17 2.34 16 17 C -0.14 -2.35 5.34 -26.61 -0.14 -2.49 16 18 C 0.15 3.06 6.51 -3.71 -0.02 3.03 16 19 N -0.60 -14.65 2.76 -172.05 -0.47 -15.12 16 20 C -0.34 -9.71 9.88 -15.06 -0.15 -9.85 16 21 H 0.07 1.96 8.06 -52.49 -0.42 1.53 16 22 C -0.02 -0.47 5.19 -17.43 -0.09 -0.56 16 23 N -0.92 -28.59 13.70 55.49 0.76 -27.83 16 24 Si 1.06 26.82 24.78 -169.99 -4.21 22.61 16 25 H -0.29 -6.95 6.49 56.52 0.37 -6.58 16 26 H -0.28 -6.98 6.94 56.52 0.39 -6.58 16 27 H -0.30 -7.63 7.11 56.52 0.40 -7.23 16 28 C 0.13 2.87 4.25 -3.48 -0.01 2.85 16 29 C -0.14 -2.53 5.33 -26.39 -0.14 -2.67 16 30 H 0.11 1.72 6.68 -52.49 -0.35 1.36 16 31 H 0.09 1.05 8.05 -52.49 -0.42 0.63 16 32 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 33 H 0.07 0.63 8.10 -51.93 -0.42 0.21 16 34 H 0.06 0.46 7.26 -51.93 -0.38 0.08 16 35 H 0.09 0.82 8.14 -51.93 -0.42 0.40 16 36 H 0.05 0.35 8.14 -51.93 -0.42 -0.08 16 37 H 0.08 0.97 7.14 -51.93 -0.37 0.60 16 38 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 39 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 40 H 0.07 0.62 7.26 -51.93 -0.38 0.24 16 41 H 0.05 0.51 7.81 -51.93 -0.41 0.10 16 42 H 0.07 0.54 5.90 -51.93 -0.31 0.24 16 43 H 0.08 0.88 6.46 -51.93 -0.34 0.55 16 44 H 0.10 1.83 6.90 -51.93 -0.36 1.47 16 45 H 0.06 1.06 7.72 -51.93 -0.40 0.66 16 46 H 0.05 0.84 8.14 -51.93 -0.42 0.42 16 47 H 0.06 1.25 7.93 -51.93 -0.41 0.84 16 48 H 0.02 0.46 8.14 -51.93 -0.42 0.03 16 49 H 0.26 8.07 8.73 -40.82 -0.36 7.71 16 50 H 0.03 0.60 7.28 -51.93 -0.38 0.22 16 51 H 0.08 1.85 4.53 -51.93 -0.24 1.61 16 52 H 0.06 1.18 6.73 -51.92 -0.35 0.83 16 53 H 0.05 0.95 8.14 -51.93 -0.42 0.53 16 LS Contribution 387.90 15.07 5.85 5.85 Total: -1.00 -33.05 387.90 -8.64 -41.69 By element: Atomic # 1 Polarization: 9.98 SS G_CDS: -9.20 Total: 0.78 kcal Atomic # 6 Polarization: -4.65 SS G_CDS: -0.28 Total: -4.93 kcal Atomic # 7 Polarization: -51.75 SS G_CDS: -0.19 Total: -51.95 kcal Atomic # 8 Polarization: -13.45 SS G_CDS: -0.60 Total: -14.05 kcal Atomic # 14 Polarization: 26.82 SS G_CDS: -4.21 Total: 22.61 kcal Total LS contribution 5.85 Total: 5.85 kcal Total: -33.05 -8.64 -41.69 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. ZINC001006103528.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 4.804 kcal (2) G-P(sol) polarization free energy of solvation -33.054 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -28.250 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.640 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.694 kcal (6) G-S(sol) free energy of system = (1) + (5) -36.890 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.27 seconds