Wall clock time and date at job start Tue Mar 31 2020 19:26:08 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 C 1.52996 * 109.47029 * 2 1 4 4 H 1.08994 * 110.43821 * 53.45390 * 3 2 1 5 5 C 1.54811 * 110.48507 * 290.76866 * 3 2 1 6 6 C 1.54997 * 102.09447 * 220.44174 * 5 3 2 7 7 O 1.44379 * 103.49091 * 37.02435 * 6 5 3 8 8 C 1.43751 * 106.97462 * 319.94286 * 7 6 5 9 9 H 1.09000 * 110.00257 * 267.01966 * 8 7 6 10 10 C 1.50704 * 109.88016 * 145.93417 * 8 7 6 11 11 O 1.21279 * 119.99801 * 342.78494 * 10 8 7 12 12 N 1.34770 * 119.99926 * 162.78475 * 10 8 7 13 13 C 1.47091 * 125.62677 * 4.05049 * 12 10 8 14 14 C 1.54465 * 107.29835 * 180.97941 * 13 12 10 15 15 C 1.54359 * 102.86359 * 21.47387 * 14 13 12 16 16 C 1.47584 * 125.62866 * 183.74211 * 12 10 8 17 17 C 1.52066 * 110.60520 * 207.23559 * 15 14 13 18 18 C 1.53200 * 109.67748 * 295.83225 * 17 15 14 19 19 C 1.53193 * 109.27349 * 300.04666 * 18 17 15 20 20 N 1.46936 * 108.94311 * 55.31102 * 19 18 17 21 21 C 1.36940 * 120.71711 * 125.77024 * 20 19 18 22 22 H 1.07996 * 119.99854 * 324.52513 * 21 20 19 23 23 C 1.38810 * 119.99948 * 144.52255 * 21 20 19 24 24 N 1.31621 * 119.99956 * 0.41796 * 23 21 20 25 25 Si 1.86801 * 119.99618 * 180.42057 * 23 21 20 26 26 H 1.48488 * 109.47279 * 0.02562 * 25 23 21 27 27 H 1.48506 * 109.47086 * 120.00367 * 25 23 21 28 28 H 1.48501 * 109.46665 * 239.99550 * 25 23 21 29 29 C 1.47109 * 118.56747 * 305.74470 * 20 19 18 30 30 H 1.08997 * 109.47403 * 60.00605 * 1 2 3 31 31 H 1.09007 * 109.47104 * 180.02562 * 1 2 3 32 32 H 1.08994 * 109.47166 * 299.99875 * 1 2 3 33 33 H 1.09003 * 109.47001 * 240.00073 * 2 1 3 34 34 H 1.09002 * 109.47679 * 120.00074 * 2 1 3 35 35 H 1.08993 * 110.91554 * 338.64020 * 5 3 2 36 36 H 1.09002 * 110.90989 * 102.24559 * 5 3 2 37 37 H 1.08996 * 110.62208 * 278.52849 * 6 5 3 38 38 H 1.09002 * 110.75911 * 155.58745 * 6 5 3 39 39 H 1.09004 * 109.87399 * 300.40268 * 13 12 10 40 40 H 1.08992 * 109.88121 * 61.55215 * 13 12 10 41 41 H 1.08994 * 110.73435 * 139.81737 * 14 13 12 42 42 H 1.08995 * 110.73572 * 262.95258 * 14 13 12 43 43 H 1.09002 * 110.37507 * 275.55112 * 16 12 10 44 44 H 1.09006 * 110.37004 * 37.89489 * 16 12 10 45 45 H 1.09003 * 109.43745 * 55.89039 * 17 15 14 46 46 H 1.08995 * 109.44076 * 175.77124 * 17 15 14 47 47 H 1.08997 * 109.50246 * 180.10520 * 18 17 15 48 48 H 1.09002 * 109.50011 * 59.98495 * 18 17 15 49 49 H 1.09001 * 109.55576 * 295.47102 * 19 18 17 50 50 H 1.08995 * 109.55597 * 175.14821 * 19 18 17 51 51 H 0.97000 * 119.99826 * 179.97438 * 24 23 21 52 52 H 1.08997 * 109.58195 * 292.45188 * 29 20 19 53 53 H 1.09001 * 109.68062 * 172.12364 * 29 20 19 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 6 2.0400 1.4425 0.0000 4 1 1.5934 2.0040 0.8205 5 6 1.7357 2.1247 -1.3560 6 6 3.0336 2.9324 -1.6116 7 8 4.0739 2.0658 -1.1103 8 6 3.5774 1.4710 0.1006 9 1 3.8815 2.0674 0.9608 10 6 4.1082 0.0672 0.2371 11 8 4.5710 -0.5026 -0.7283 12 7 4.0685 -0.5550 1.4319 13 6 3.4616 -0.0163 2.6587 14 6 3.6767 -1.0620 3.7750 15 6 4.8690 -1.8880 3.2470 16 6 4.6212 -1.8919 1.7238 17 6 4.8268 -3.3034 3.8014 18 6 4.9995 -3.2667 5.3232 19 6 6.3477 -2.6239 5.6638 20 7 6.4183 -1.2998 5.0308 21 6 6.6960 -0.1833 5.7735 22 1 6.3243 -0.1009 6.7841 23 6 7.4552 0.8424 5.2274 24 7 7.9013 0.7455 3.9929 25 14 7.8439 2.3602 6.2446 26 1 7.2313 2.2243 7.5904 27 1 9.3159 2.4998 6.3830 28 1 7.2940 3.5629 5.5690 29 6 6.1849 -1.1995 3.5818 30 1 -0.3634 0.5137 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 -0.3633 0.5138 0.8899 33 1 1.8933 -0.5138 -0.8900 34 1 1.8934 -0.5138 0.8900 35 1 1.5791 1.3824 -2.1385 36 1 0.8747 2.7880 -1.2732 37 1 3.0167 3.8713 -1.0583 38 1 3.1694 3.1184 -2.6770 39 1 3.9460 0.9215 2.9309 40 1 2.3950 0.1465 2.5040 41 1 3.9314 -0.5749 4.7162 42 1 2.7923 -1.6880 3.8931 43 1 3.9028 -2.6665 1.4554 44 1 5.5586 -2.0403 1.1877 45 1 3.8682 -3.7606 3.5561 46 1 5.6318 -3.8903 3.3592 47 1 4.9707 -4.2825 5.7173 48 1 4.1945 -2.6807 5.7667 49 1 7.1562 -3.2514 5.2887 50 1 6.4381 -2.5169 6.7447 51 1 8.4316 1.4625 3.6111 52 1 6.9990 -1.6874 3.0460 53 1 6.1327 -0.1505 3.2902 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 ZINC001040252638.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 19:26:08 Heat of formation + Delta-G solvation = -61.488212 kcal Electronic energy + Delta-G solvation = -32216.253678 eV Core-core repulsion = 28281.081142 eV Total energy + Delta-G solvation = -3935.172536 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -40.78318 -39.35498 -37.65948 -35.71503 -34.78026 -33.14879 -31.38885 -30.44252 -29.98652 -29.37635 -29.01429 -25.71185 -25.31902 -23.82611 -22.96082 -22.51976 -22.14643 -20.99825 -20.45937 -18.85778 -18.01381 -17.07041 -16.65852 -16.45281 -16.02560 -15.76633 -15.02872 -14.64219 -14.61040 -14.21924 -13.98929 -13.89295 -13.67086 -13.53798 -13.42984 -12.95969 -12.70570 -12.55078 -12.41433 -12.22890 -12.05787 -11.98688 -11.78805 -11.69259 -11.37935 -11.22575 -11.17023 -10.97433 -10.88332 -10.80639 -10.74110 -10.56734 -10.41854 -10.09939 -10.07206 -10.00499 -9.79487 -9.58829 -9.40821 -9.18466 -8.50131 -8.24515 -6.55519 -5.80042 -3.33427 2.80876 3.14476 3.33435 3.41818 3.43262 3.99800 4.25409 4.44615 4.47741 4.58580 4.83131 4.98851 5.03073 5.06328 5.07632 5.20496 5.26581 5.30069 5.32102 5.40998 5.49488 5.56391 5.57461 5.58970 5.63686 5.66959 5.70044 5.75175 5.84811 5.87594 5.90563 5.99134 6.04452 6.05989 6.20041 6.23772 6.27508 6.28806 6.39053 6.48339 6.54193 6.65453 6.78499 6.80745 6.85298 6.93674 7.02579 7.37720 7.75302 7.79094 7.84313 8.48327 8.49850 9.22417 9.81700 10.42998 11.26665 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011883 B = 0.004292 C = 0.003566 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2355.837659 B = 6522.840697 C = 7850.381749 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 -0.135 4.135 3 C -0.108 4.108 4 H 0.092 0.908 5 C -0.147 4.147 6 C 0.044 3.956 7 O -0.347 6.347 8 C 0.065 3.935 9 H 0.092 0.908 10 C 0.538 3.462 11 O -0.531 6.531 12 N -0.608 5.608 13 C 0.098 3.902 14 C -0.110 4.110 15 C -0.093 4.093 16 C 0.122 3.878 17 C -0.093 4.093 18 C -0.132 4.132 19 C 0.143 3.857 20 N -0.590 5.590 21 C -0.255 4.255 22 H 0.063 0.937 23 C 0.012 3.988 24 N -0.900 5.900 25 Si 0.899 3.101 26 H -0.277 1.277 27 H -0.289 1.289 28 H -0.290 1.290 29 C 0.189 3.811 30 H 0.053 0.947 31 H 0.054 0.946 32 H 0.054 0.946 33 H 0.069 0.931 34 H 0.081 0.919 35 H 0.080 0.920 36 H 0.081 0.919 37 H 0.062 0.938 38 H 0.095 0.905 39 H 0.071 0.929 40 H 0.062 0.938 41 H 0.096 0.904 42 H 0.060 0.940 43 H 0.058 0.942 44 H 0.075 0.925 45 H 0.047 0.953 46 H 0.056 0.944 47 H 0.049 0.951 48 H 0.058 0.942 49 H 0.016 0.984 50 H 0.052 0.948 51 H 0.254 0.746 52 H 0.015 0.985 53 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.918 -0.391 -5.748 16.929 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 -0.204 4.204 2 C -0.172 4.172 3 C -0.127 4.127 4 H 0.110 0.890 5 C -0.185 4.185 6 C -0.033 4.033 7 O -0.265 6.265 8 C 0.004 3.996 9 H 0.110 0.890 10 C 0.326 3.674 11 O -0.407 6.407 12 N -0.343 5.343 13 C -0.025 4.025 14 C -0.148 4.148 15 C -0.096 4.096 16 C -0.001 4.001 17 C -0.131 4.131 18 C -0.172 4.172 19 C 0.017 3.983 20 N -0.313 5.313 21 C -0.385 4.385 22 H 0.081 0.919 23 C -0.188 4.188 24 N -0.544 5.544 25 Si 0.728 3.272 26 H -0.202 1.202 27 H -0.215 1.215 28 H -0.217 1.217 29 C 0.063 3.937 30 H 0.072 0.928 31 H 0.073 0.927 32 H 0.073 0.927 33 H 0.088 0.912 34 H 0.099 0.901 35 H 0.099 0.901 36 H 0.100 0.900 37 H 0.080 0.920 38 H 0.113 0.887 39 H 0.090 0.910 40 H 0.080 0.920 41 H 0.115 0.885 42 H 0.079 0.921 43 H 0.077 0.923 44 H 0.093 0.907 45 H 0.066 0.934 46 H 0.075 0.925 47 H 0.068 0.932 48 H 0.077 0.923 49 H 0.034 0.966 50 H 0.070 0.930 51 H 0.065 0.935 52 H 0.034 0.966 53 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -15.328 -0.544 -6.524 16.667 hybrid contribution 0.134 0.956 0.608 1.142 sum -15.193 0.413 -5.916 16.310 Atomic orbital electron populations 1.21735 0.95278 1.01707 1.01656 1.21928 0.96406 0.95036 1.03871 1.22516 0.93176 0.98109 0.98900 0.89006 1.23224 0.98497 0.99732 0.96998 1.23606 0.86226 0.93246 1.00220 1.89008 1.37933 1.60564 1.38992 1.22718 0.93739 0.92925 0.90218 0.89042 1.19762 0.78723 0.87106 0.81818 1.90681 1.45985 1.66802 1.37270 1.48423 1.57728 1.19092 1.09034 1.22225 0.96805 0.98895 0.84581 1.22505 0.97257 0.96545 0.98506 1.21966 0.99724 0.96184 0.91682 1.22228 0.98433 0.83078 0.96355 1.21180 1.00219 0.95245 0.96420 1.22028 1.00599 0.99286 0.95262 1.20936 0.92977 0.87776 0.96644 1.43980 1.81881 1.01397 1.04019 1.19138 1.26300 0.95489 0.97580 0.91918 1.25315 0.97043 0.99780 0.96640 1.69926 1.38104 1.33004 1.13321 0.86283 0.78097 0.82902 0.79882 1.20232 1.21537 1.21680 1.20644 0.88145 1.00756 0.84118 0.92785 0.92660 0.92676 0.91205 0.90094 0.90125 0.90004 0.91969 0.88716 0.91029 0.92004 0.88543 0.92149 0.92342 0.90656 0.93408 0.92518 0.93248 0.92302 0.96615 0.92979 0.93511 0.96642 0.88528 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.28 9.78 37.16 0.36 -0.92 16 2 C -0.14 -1.54 4.03 -26.73 -0.11 -1.64 16 3 C -0.11 -1.20 2.74 -89.09 -0.24 -1.44 16 4 H 0.09 0.85 8.14 -51.93 -0.42 0.43 16 5 C -0.15 -1.41 5.98 -24.72 -0.15 -1.55 16 6 C 0.04 0.48 7.72 38.21 0.29 0.78 16 7 O -0.35 -5.70 10.79 -54.17 -0.58 -6.29 16 8 C 0.07 0.98 3.21 -27.31 -0.09 0.90 16 9 H 0.09 1.34 7.58 -51.93 -0.39 0.95 16 10 C 0.54 9.75 5.11 -10.99 -0.06 9.69 16 11 O -0.53 -11.59 16.89 -13.38 -0.23 -11.81 16 12 N -0.61 -10.19 2.51 -170.62 -0.43 -10.62 16 13 C 0.10 1.44 5.35 -2.95 -0.02 1.43 16 14 C -0.11 -1.72 4.88 -25.25 -0.12 -1.85 16 15 C -0.09 -1.63 0.55 -153.97 -0.09 -1.72 16 16 C 0.12 2.09 5.81 -2.76 -0.02 2.07 16 17 C -0.09 -1.46 4.65 -27.10 -0.13 -1.58 16 18 C -0.13 -2.14 5.92 -26.53 -0.16 -2.30 16 19 C 0.14 2.87 6.49 -3.70 -0.02 2.85 16 20 N -0.59 -13.97 2.60 -172.74 -0.45 -14.42 16 21 C -0.26 -6.64 9.56 -15.06 -0.14 -6.79 16 22 H 0.06 1.61 7.83 -52.49 -0.41 1.20 16 23 C 0.01 0.31 5.26 -17.43 -0.09 0.22 16 24 N -0.90 -25.60 10.82 55.49 0.60 -25.00 16 25 Si 0.90 21.09 29.55 -169.99 -5.02 16.07 16 26 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 27 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 28 H -0.29 -6.83 7.11 56.52 0.40 -6.43 16 29 C 0.19 4.31 3.85 -4.10 -0.02 4.30 16 30 H 0.05 0.43 7.59 -51.93 -0.39 0.03 16 31 H 0.05 0.47 8.14 -51.92 -0.42 0.05 16 32 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.07 0.95 7.66 -51.93 -0.40 0.55 16 34 H 0.08 1.00 4.31 -51.93 -0.22 0.78 16 35 H 0.08 0.81 7.78 -51.93 -0.40 0.41 16 36 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 37 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 38 H 0.09 0.90 8.14 -51.93 -0.42 0.48 16 39 H 0.07 1.16 7.82 -51.93 -0.41 0.75 16 40 H 0.06 0.74 6.32 -51.93 -0.33 0.41 16 41 H 0.10 1.73 7.67 -51.93 -0.40 1.33 16 42 H 0.06 0.81 7.99 -51.93 -0.41 0.40 16 43 H 0.06 0.90 8.00 -51.93 -0.42 0.48 16 44 H 0.08 1.45 7.98 -51.93 -0.41 1.04 16 45 H 0.05 0.65 8.10 -51.93 -0.42 0.23 16 46 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 47 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 48 H 0.06 0.95 7.40 -51.93 -0.38 0.57 16 49 H 0.02 0.33 8.14 -51.93 -0.42 -0.09 16 50 H 0.05 1.03 7.93 -51.93 -0.41 0.62 16 51 H 0.25 7.12 8.31 -40.82 -0.34 6.78 16 52 H 0.02 0.40 8.14 -51.93 -0.42 -0.03 16 53 H 0.10 2.50 5.76 -51.93 -0.30 2.20 16 LS Contribution 392.82 15.07 5.92 5.92 Total: -1.00 -31.49 392.82 -10.46 -41.95 By element: Atomic # 1 Polarization: 11.24 SS G_CDS: -9.48 Total: 1.76 kcal Atomic # 6 Polarization: 3.22 SS G_CDS: -0.78 Total: 2.44 kcal Atomic # 7 Polarization: -49.76 SS G_CDS: -0.28 Total: -50.04 kcal Atomic # 8 Polarization: -17.29 SS G_CDS: -0.81 Total: -18.10 kcal Atomic # 14 Polarization: 21.09 SS G_CDS: -5.02 Total: 16.07 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -31.49 -10.46 -41.95 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. ZINC001040252638.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 -19.542 kcal (2) G-P(sol) polarization free energy of solvation -31.490 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -51.033 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.455 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.946 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.488 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.95 seconds