Wall clock time and date at job start Sat Apr 11 2020 06:10:29 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 1.52999 * 1 3 3 H 1.08998 * 109.47587 * 2 1 4 4 C 1.50700 * 109.46904 * 240.00256 * 2 1 3 5 5 H 1.08002 * 120.00216 * 239.99878 * 4 2 1 6 6 C 1.37874 * 120.00079 * 59.99869 * 4 2 1 7 7 N 1.31518 * 120.00374 * 179.97438 * 6 4 2 8 8 Si 1.86804 * 119.99889 * 0.02562 * 6 4 2 9 9 H 1.48507 * 109.46602 * 269.99486 * 8 6 4 10 10 H 1.48496 * 109.47135 * 29.99558 * 8 6 4 11 11 H 1.48500 * 109.47259 * 150.00048 * 8 6 4 12 12 N 1.46503 * 109.47291 * 120.00414 * 2 1 3 13 13 C 1.34768 * 119.99821 * 274.99985 * 12 2 1 14 14 O 1.21285 * 120.00553 * 359.97438 * 13 12 2 15 15 C 1.50701 * 119.99941 * 180.02562 * 13 12 2 16 16 H 1.09006 * 112.84975 * 273.31053 * 15 13 12 17 17 C 1.53775 * 113.61778 * 44.50374 * 15 13 12 18 18 C 1.53778 * 87.08401 * 139.98259 * 17 15 13 19 19 H 1.08991 * 113.61945 * 220.01878 * 18 17 15 20 20 N 1.46507 * 113.61353 * 89.11809 * 18 17 15 21 21 C 1.34775 * 120.00046 * 104.50460 * 20 18 17 22 22 O 1.21506 * 120.00140 * 0.02562 * 21 20 18 23 23 O 1.34640 * 119.99819 * 180.02562 * 21 20 18 24 24 C 1.45199 * 116.99634 * 180.02562 * 23 21 20 25 25 C 1.52997 * 109.47059 * 60.00115 * 24 23 21 26 26 C 1.53002 * 109.46877 * 180.02562 * 24 23 21 27 27 C 1.53002 * 109.47294 * 299.99694 * 24 23 21 28 28 C 1.53777 * 113.61762 * 142.00552 * 15 13 12 29 29 C 1.53003 * 113.61430 * 334.56133 * 28 15 13 30 30 C 1.53006 * 113.61695 * 105.46841 * 28 15 13 31 31 H 1.09000 * 109.46846 * 179.97438 * 1 2 3 32 32 H 1.08999 * 109.46812 * 299.99382 * 1 2 3 33 33 H 1.09002 * 109.47299 * 59.99550 * 1 2 3 34 34 H 0.97002 * 120.00189 * 180.02562 * 7 6 4 35 35 H 0.97002 * 119.99473 * 94.99807 * 12 2 1 36 36 H 1.09006 * 113.61778 * 254.53224 * 17 15 13 37 37 H 1.09001 * 113.61445 * 25.34923 * 17 15 13 38 38 H 0.97003 * 119.99770 * 284.50524 * 20 18 17 39 39 H 1.08995 * 109.47232 * 60.00093 * 25 24 23 40 40 H 1.09008 * 109.46856 * 179.97438 * 25 24 23 41 41 H 1.08996 * 109.46963 * 299.99291 * 25 24 23 42 42 H 1.09004 * 109.47326 * 59.99767 * 26 24 23 43 43 H 1.09000 * 109.47469 * 180.02562 * 26 24 23 44 44 H 1.09002 * 109.46977 * 300.00024 * 26 24 23 45 45 H 1.08999 * 109.46886 * 60.00126 * 27 24 23 46 46 H 1.08996 * 109.47085 * 180.02562 * 27 24 23 47 47 H 1.08995 * 109.47272 * 300.00386 * 27 24 23 48 48 H 1.09003 * 109.46863 * 67.08242 * 29 28 15 49 49 H 1.08996 * 109.47262 * 187.07538 * 29 28 15 50 50 H 1.09001 * 109.47119 * 307.08369 * 29 28 15 51 51 H 1.09000 * 109.46907 * 59.99919 * 30 28 15 52 52 H 1.08994 * 109.46782 * 180.02562 * 30 28 15 53 53 H 1.08996 * 109.46685 * 300.00263 * 30 28 15 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 1.8934 1.0276 0.0000 4 6 2.0323 -0.7104 -1.2305 5 1 2.6532 -1.5885 -1.1315 6 6 1.6991 -0.2393 -2.4827 7 7 2.1379 -0.8589 -3.5566 8 14 0.6258 1.2800 -2.6540 9 1 -0.8022 0.8745 -2.6992 10 1 0.8490 2.1773 -1.4921 11 1 0.9770 1.9955 -3.9069 12 7 2.0184 -0.6907 1.1961 13 6 2.1471 -0.0184 2.3571 14 8 1.8591 1.1585 2.4116 15 6 2.6500 -0.7288 3.5873 16 1 1.8543 -1.2201 4.1474 17 6 3.8658 -1.6325 3.3232 18 6 4.4301 -1.1319 4.6632 19 1 5.5034 -0.9435 4.6420 20 7 4.0156 -1.9397 5.8130 21 6 4.8858 -2.7961 6.3837 22 8 6.0143 -2.8980 5.9449 23 8 4.5047 -3.5389 7.4400 24 6 5.4943 -4.4394 8.0040 25 6 6.7031 -3.6331 8.4831 26 6 4.8825 -5.1934 9.1864 27 6 5.9397 -5.4409 6.9366 28 6 3.5786 0.1324 4.4596 29 6 4.2981 1.2373 3.6833 30 6 2.9178 0.6396 5.7430 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5137 0.8900 33 1 -0.3634 0.5139 -0.8899 34 1 1.9038 -0.5272 -4.4376 35 1 2.2490 -1.6319 1.1524 36 1 3.6270 -2.6960 3.3200 37 1 4.4560 -1.3287 2.4586 38 1 3.1148 -1.8581 6.1636 39 1 6.3858 -2.9197 9.2436 40 1 7.4459 -4.3091 8.9069 41 1 7.1389 -3.0964 7.6404 42 1 4.0213 -5.7678 8.8448 43 1 5.6254 -5.8691 9.6102 44 1 4.5648 -4.4802 9.9470 45 1 6.3754 -4.9041 6.0939 46 1 6.6822 -6.1171 7.3601 47 1 5.0785 -6.0152 6.5953 48 1 3.5707 1.9734 3.3410 49 1 5.0272 1.7218 4.3326 50 1 4.8086 0.8038 2.8234 51 1 2.5988 -0.2095 6.3475 52 1 3.6321 1.2395 6.3068 53 1 2.0516 1.2503 5.4887 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 ZINC000874251396.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 06:10:29 Heat of formation + Delta-G solvation = -100.581218 kcal Electronic energy + Delta-G solvation = -31248.579572 eV Core-core repulsion = 27121.255784 eV Total energy + Delta-G solvation = -4127.323788 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.70 seconds Orbital eigenvalues (eV) -41.37310 -40.46484 -38.26965 -36.98135 -34.98674 -34.52785 -33.28715 -32.43624 -30.96132 -29.62264 -27.72078 -27.65260 -27.42665 -26.26390 -25.15970 -23.32450 -22.17130 -21.42031 -20.34730 -19.68112 -18.80867 -18.18396 -17.22708 -16.63552 -16.36217 -16.00255 -15.57489 -15.49928 -15.17998 -14.87663 -14.66263 -14.41603 -13.88130 -13.68171 -13.46663 -13.33752 -13.16487 -12.87006 -12.81359 -12.56163 -12.38413 -12.20480 -12.19674 -12.18104 -12.14554 -11.90954 -11.89003 -11.72538 -11.57527 -11.46912 -11.17352 -11.07525 -10.82561 -10.62360 -10.42945 -10.35321 -10.22316 -10.18725 -9.68684 -9.27546 -9.22548 -8.94075 -8.74918 -8.11561 -6.20938 -4.23358 1.92730 2.65420 3.22071 3.25357 3.34979 3.39136 3.85854 3.95453 4.22642 4.31276 4.36499 4.41420 4.45994 4.60191 4.66569 4.79921 5.10359 5.13865 5.15500 5.22830 5.23937 5.36059 5.38235 5.39360 5.46313 5.56816 5.57471 5.63370 5.67099 5.69777 5.78796 5.83531 5.93191 5.96888 6.00995 6.05919 6.10871 6.22069 6.29212 6.30831 6.37302 6.41377 6.55389 6.56774 6.85681 7.20050 7.23485 7.31185 7.53080 8.16563 8.20847 8.55073 8.76668 8.96753 9.40172 10.91246 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019938 B = 0.002389 C = 0.002263 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1404.034786 B =11716.895433 C =12371.125451 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.161 4.161 2 C 0.236 3.764 3 H 0.048 0.952 4 C -0.534 4.534 5 H 0.080 0.920 6 C 0.077 3.923 7 N -0.893 5.893 8 Si 0.886 3.114 9 H -0.277 1.277 10 H -0.262 1.262 11 H -0.295 1.295 12 N -0.699 5.699 13 C 0.516 3.484 14 O -0.553 6.553 15 C -0.130 4.130 16 H 0.112 0.888 17 C -0.144 4.144 18 C 0.143 3.857 19 H 0.109 0.891 20 N -0.690 5.690 21 C 0.652 3.348 22 O -0.565 6.565 23 O -0.367 6.367 24 C 0.137 3.863 25 C -0.184 4.184 26 C -0.141 4.141 27 C -0.184 4.184 28 C -0.058 4.058 29 C -0.136 4.136 30 C -0.136 4.136 31 H 0.052 0.948 32 H 0.035 0.965 33 H 0.046 0.954 34 H 0.267 0.733 35 H 0.395 0.605 36 H 0.080 0.920 37 H 0.104 0.896 38 H 0.406 0.594 39 H 0.059 0.941 40 H 0.069 0.931 41 H 0.088 0.912 42 H 0.067 0.933 43 H 0.080 0.920 44 H 0.066 0.934 45 H 0.089 0.911 46 H 0.069 0.931 47 H 0.060 0.940 48 H 0.090 0.910 49 H 0.055 0.945 50 H 0.059 0.941 51 H 0.051 0.949 52 H 0.059 0.941 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.169 -6.125 25.361 26.597 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 -0.219 4.219 2 C 0.133 3.867 3 H 0.066 0.934 4 C -0.572 4.572 5 H 0.098 0.902 6 C -0.126 4.126 7 N -0.530 5.530 8 Si 0.716 3.284 9 H -0.204 1.204 10 H -0.187 1.187 11 H -0.222 1.222 12 N -0.347 5.347 13 C 0.301 3.699 14 O -0.432 6.432 15 C -0.151 4.151 16 H 0.130 0.870 17 C -0.183 4.183 18 C 0.039 3.961 19 H 0.127 0.873 20 N -0.349 5.349 21 C 0.405 3.595 22 O -0.454 6.454 23 O -0.281 6.281 24 C 0.100 3.900 25 C -0.241 4.241 26 C -0.198 4.198 27 C -0.242 4.242 28 C -0.060 4.060 29 C -0.193 4.193 30 C -0.193 4.193 31 H 0.071 0.929 32 H 0.054 0.946 33 H 0.065 0.935 34 H 0.077 0.923 35 H 0.228 0.772 36 H 0.098 0.902 37 H 0.122 0.878 38 H 0.243 0.757 39 H 0.078 0.922 40 H 0.088 0.912 41 H 0.107 0.893 42 H 0.086 0.914 43 H 0.099 0.901 44 H 0.085 0.915 45 H 0.108 0.892 46 H 0.088 0.912 47 H 0.079 0.921 48 H 0.108 0.892 49 H 0.074 0.926 50 H 0.078 0.922 51 H 0.070 0.930 52 H 0.078 0.922 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges 5.558 -5.415 25.014 26.190 hybrid contribution -0.996 0.099 -0.192 1.019 sum 4.562 -5.315 24.822 25.791 Atomic orbital electron populations 1.22447 0.99441 1.00766 0.99233 1.19084 0.90036 0.94666 0.82963 0.93415 1.21045 1.33184 1.14382 0.88556 0.90236 1.24841 0.95513 0.96691 0.95560 1.69872 1.44928 1.40123 0.98036 0.86874 0.80510 0.83651 0.77403 1.20380 1.18681 1.22203 1.46225 1.64876 1.13778 1.09819 1.20164 0.78037 0.87277 0.84442 1.90607 1.51330 1.16031 1.85269 1.22956 0.97752 0.97983 0.96400 0.86994 1.23466 0.96540 1.00166 0.98145 1.21991 1.00137 0.90324 0.83696 0.87263 1.44496 1.15467 1.41675 1.33304 1.18054 0.83836 0.78675 0.78915 1.90907 1.19304 1.69560 1.65624 1.86296 1.45092 1.52446 1.44315 1.22063 0.86956 0.87855 0.93123 1.22518 0.97453 1.01001 1.03100 1.21865 1.01845 1.00004 0.96090 1.22523 1.02172 0.99077 1.00382 1.21986 0.94580 0.93796 0.95608 1.21751 1.00515 0.97921 0.99125 1.21694 1.01194 1.00835 0.95604 0.92908 0.94601 0.93535 0.92311 0.77209 0.90175 0.87796 0.75737 0.92233 0.91173 0.89280 0.91434 0.90149 0.91518 0.89221 0.91175 0.92116 0.89164 0.92556 0.92229 0.92995 0.92199 0.91290 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 -0.16 -3.56 8.96 37.16 0.33 -3.22 16 2 C 0.24 5.52 2.15 -69.08 -0.15 5.37 16 3 H 0.05 1.23 6.63 -51.93 -0.34 0.89 16 4 C -0.53 -14.26 9.31 -34.44 -0.32 -14.58 16 5 H 0.08 2.24 7.98 -52.49 -0.42 1.82 16 6 C 0.08 2.16 5.45 -17.82 -0.10 2.07 16 7 N -0.89 -26.36 13.96 55.43 0.77 -25.59 16 8 Si 0.89 21.70 24.37 -169.99 -4.14 17.56 16 9 H -0.28 -6.58 6.87 56.52 0.39 -6.19 16 10 H -0.26 -6.37 6.53 56.52 0.37 -6.00 16 11 H -0.29 -7.20 7.11 56.52 0.40 -6.80 16 12 N -0.70 -13.36 4.96 -54.93 -0.27 -13.63 16 13 C 0.52 9.03 6.50 -10.99 -0.07 8.96 16 14 O -0.55 -11.49 14.26 5.55 0.08 -11.41 16 15 C -0.13 -1.63 3.60 -90.96 -0.33 -1.96 16 16 H 0.11 1.22 8.10 -51.93 -0.42 0.80 16 17 C -0.14 -1.68 6.50 -25.92 -0.17 -1.85 16 18 C 0.14 1.56 3.73 -67.12 -0.25 1.31 16 19 H 0.11 1.30 7.50 -51.93 -0.39 0.92 16 20 N -0.69 -6.88 4.77 -57.93 -0.28 -7.15 16 21 C 0.65 7.61 8.06 54.05 0.44 8.05 16 22 O -0.57 -7.84 11.52 -19.28 -0.22 -8.06 16 23 O -0.37 -3.85 9.94 -40.32 -0.40 -4.25 16 24 C 0.14 1.19 1.13 -90.62 -0.10 1.09 16 25 C -0.18 -1.56 8.37 37.16 0.31 -1.25 16 26 C -0.14 -0.86 8.85 37.16 0.33 -0.53 16 27 C -0.18 -1.63 8.37 37.16 0.31 -1.32 16 28 C -0.06 -0.67 1.15 -153.69 -0.18 -0.85 16 29 C -0.14 -1.76 8.00 37.16 0.30 -1.46 16 30 C -0.14 -1.34 9.02 37.16 0.34 -1.01 16 31 H 0.05 1.10 8.14 -51.93 -0.42 0.68 16 32 H 0.03 0.75 8.14 -51.93 -0.42 0.32 16 33 H 0.05 1.07 3.27 -51.93 -0.17 0.90 16 34 H 0.27 7.42 8.31 -40.82 -0.34 7.08 16 35 H 0.39 6.78 8.07 -40.82 -0.33 6.45 16 36 H 0.08 0.89 8.14 -51.93 -0.42 0.46 16 37 H 0.10 1.32 7.56 -51.93 -0.39 0.93 16 38 H 0.41 3.35 6.88 -40.82 -0.28 3.07 16 39 H 0.06 0.48 8.14 -51.93 -0.42 0.05 16 40 H 0.07 0.47 8.14 -51.92 -0.42 0.04 16 41 H 0.09 0.97 5.88 -51.93 -0.31 0.66 16 42 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 43 H 0.08 0.36 8.14 -51.93 -0.42 -0.07 16 44 H 0.07 0.39 8.14 -51.93 -0.42 -0.04 16 45 H 0.09 1.02 5.88 -51.93 -0.31 0.71 16 46 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 47 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 48 H 0.09 1.40 6.18 -51.93 -0.32 1.08 16 49 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 50 H 0.06 0.81 7.31 -51.93 -0.38 0.43 16 51 H 0.05 0.42 5.83 -51.93 -0.30 0.12 16 52 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 53 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 LS Contribution 404.68 15.07 6.10 6.10 Total: -1.00 -31.79 404.68 -6.71 -38.50 By element: Atomic # 1 Polarization: 18.16 SS G_CDS: -9.04 Total: 9.12 kcal Atomic # 6 Polarization: -1.87 SS G_CDS: 0.69 Total: -1.18 kcal Atomic # 7 Polarization: -46.59 SS G_CDS: 0.22 Total: -46.37 kcal Atomic # 8 Polarization: -23.19 SS G_CDS: -0.54 Total: -23.73 kcal Atomic # 14 Polarization: 21.70 SS G_CDS: -4.14 Total: 17.56 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -31.79 -6.71 -38.50 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. ZINC000874251396.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 -62.079 kcal (2) G-P(sol) polarization free energy of solvation -31.791 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -93.869 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -6.712 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.503 kcal (6) G-S(sol) free energy of system = (1) + (5) -100.581 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.70 seconds