Wall clock time and date at job start Tue Mar 31 2020 19:27:54 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 1.53004 * 1 3 3 C 1.52995 * 109.47532 * 2 1 4 4 C 1.52999 * 109.47418 * 180.02562 * 3 2 1 5 5 H 1.09002 * 109.48249 * 54.99743 * 4 3 2 6 6 C 1.53098 * 109.48010 * 175.02221 * 4 3 2 7 7 C 1.53178 * 109.15976 * 177.60079 * 6 4 3 8 8 H 1.09000 * 109.54595 * 62.88180 * 7 6 4 9 9 C 1.50696 * 109.54193 * 183.06416 * 7 6 4 10 10 O 1.21277 * 120.00158 * 359.97438 * 9 7 6 11 11 N 1.34778 * 120.00151 * 180.02562 * 9 7 6 12 12 C 1.47360 * 135.87507 * 359.62907 * 11 9 7 13 13 C 1.52264 * 87.46952 * 154.22198 * 12 11 9 14 14 C 1.47350 * 135.88019 * 179.97438 * 11 9 7 15 15 C 1.53723 * 116.39057 * 142.36733 * 13 12 11 16 16 C 1.55179 * 101.38538 * 165.10138 * 15 13 12 17 17 N 1.47558 * 105.03247 * 324.50822 * 16 15 13 18 18 C 1.36937 * 125.66191 * 203.87603 * 17 16 15 19 19 H 1.07998 * 120.00249 * 180.02562 * 18 17 16 20 20 C 1.38808 * 119.99732 * 0.02601 * 18 17 16 21 21 N 1.31618 * 120.00419 * 359.97438 * 20 18 17 22 22 Si 1.86811 * 119.99782 * 180.02562 * 20 18 17 23 23 H 1.48501 * 109.47021 * 59.99486 * 22 20 18 24 24 H 1.48497 * 109.46837 * 179.97438 * 22 20 18 25 25 H 1.48500 * 109.46765 * 299.99604 * 22 20 18 26 26 C 1.47405 * 108.67878 * 23.89287 * 17 16 15 27 27 C 1.53179 * 109.03547 * 303.01729 * 7 6 4 28 28 C 1.53088 * 109.16372 * 56.98571 * 27 7 6 29 29 O 1.42903 * 109.48512 * 294.96903 * 4 3 2 30 30 H 1.09000 * 109.46572 * 300.00073 * 1 2 3 31 31 H 1.08995 * 109.47104 * 59.99894 * 1 2 3 32 32 H 1.08998 * 109.47446 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.47032 * 239.99659 * 2 1 3 34 34 H 1.09003 * 109.47402 * 120.00078 * 2 1 3 35 35 H 1.09000 * 109.47241 * 59.99787 * 3 2 1 36 36 H 1.09008 * 109.47253 * 300.00228 * 3 2 1 37 37 H 1.08990 * 109.52021 * 297.50286 * 6 4 3 38 38 H 1.08995 * 109.52391 * 57.69903 * 6 4 3 39 39 H 1.08999 * 113.53254 * 268.84424 * 12 11 9 40 40 H 1.09002 * 113.53413 * 39.50088 * 12 11 9 41 41 H 1.08997 * 113.53542 * 320.49925 * 14 11 9 42 42 H 1.09000 * 113.53467 * 91.15375 * 14 11 9 43 43 H 1.09002 * 111.04232 * 283.11975 * 15 13 12 44 44 H 1.08991 * 111.04297 * 47.07335 * 15 13 12 45 45 H 1.08996 * 110.33307 * 205.62387 * 16 15 13 46 46 H 1.09001 * 110.42287 * 83.43868 * 16 15 13 47 47 H 0.96999 * 119.99949 * 180.02562 * 21 20 18 48 48 H 1.08995 * 109.99242 * 238.51951 * 26 17 16 49 49 H 1.09003 * 110.02635 * 117.21587 * 26 17 16 50 50 H 1.09004 * 109.52091 * 176.88375 * 27 7 6 51 51 H 1.08992 * 109.52309 * 297.01273 * 27 7 6 52 52 H 1.08998 * 109.48639 * 62.37353 * 28 27 7 53 53 H 1.09000 * 109.48485 * 182.39627 * 28 27 7 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 2.0401 1.4424 0.0000 4 6 3.5701 1.4424 -0.0006 5 1 3.9333 0.8531 -0.8426 6 6 4.0806 2.8803 -0.1259 7 6 5.6112 2.8774 -0.0655 8 1 6.0086 2.3190 -0.9131 9 6 6.1202 4.2950 -0.1124 10 8 5.3374 5.2183 -0.1873 11 7 7.4455 4.5369 -0.0721 12 6 8.6677 3.7189 0.0206 13 6 9.4017 4.8580 -0.6738 14 6 8.3034 5.7347 -0.0955 15 6 10.8331 5.1431 -0.1913 16 6 11.3697 6.0409 -1.3377 17 7 10.7496 5.5057 -2.5651 18 6 11.2425 5.6457 -3.8350 19 1 10.7113 5.2152 -4.6710 20 6 12.4248 6.3412 -4.0477 21 7 13.0719 6.8664 -3.0290 22 14 13.0968 6.5329 -5.7802 23 1 12.1032 7.2488 -6.6201 24 1 14.3608 7.3112 -5.7375 25 1 13.3603 5.1914 -6.3601 26 6 9.5113 4.7955 -2.1974 27 6 6.0584 2.2134 1.2405 28 6 5.4715 0.8013 1.3129 29 8 4.0473 0.8735 1.2203 30 1 -0.3632 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3634 -1.0276 0.0005 33 1 1.8934 -0.5139 -0.8900 34 1 1.8934 -0.5138 0.8900 35 1 1.6768 1.9563 0.8900 36 1 1.6768 1.9563 -0.8900 37 1 3.7545 3.3010 -1.0769 38 1 3.6849 3.4800 0.6937 39 1 8.9999 3.5474 1.0445 40 1 8.6245 2.8033 -0.5693 41 1 7.9553 6.5060 -0.7826 42 1 8.5342 6.1242 0.8960 43 1 10.8267 5.6812 0.7566 44 1 11.4104 4.2220 -0.1127 45 1 12.4554 5.9679 -1.3993 46 1 11.0686 7.0769 -1.1822 47 1 13.8979 7.3526 -3.1778 48 1 9.5658 3.7574 -2.5249 49 1 8.6508 5.2852 -2.6533 50 1 7.1467 2.1572 1.2665 51 1 5.7036 2.8003 2.0876 52 1 5.8596 0.2035 0.4882 53 1 5.7514 0.3394 2.2597 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 ZINC001073083481.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 19:27:54 Heat of formation + Delta-G solvation = -35.762122 kcal Electronic energy + Delta-G solvation = -30017.092967 eV Core-core repulsion = 26083.035997 eV Total energy + Delta-G solvation = -3934.056969 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.22 seconds Orbital eigenvalues (eV) -40.93352 -39.81242 -38.14025 -35.70421 -35.32643 -33.87417 -32.25728 -31.52761 -29.77499 -28.47546 -27.58579 -26.39647 -25.92036 -24.71208 -23.55041 -23.06571 -21.38696 -20.79137 -20.40337 -19.10787 -18.27526 -17.11170 -16.83241 -16.74813 -16.35817 -15.76657 -15.26397 -15.03348 -14.95754 -14.77500 -14.54560 -14.21735 -14.01865 -13.76787 -13.44174 -13.09473 -13.01233 -12.92810 -12.55676 -12.44297 -12.16636 -12.11867 -11.87493 -11.65118 -11.59660 -11.53039 -11.26367 -11.16260 -10.99890 -10.90740 -10.89576 -10.79903 -10.56394 -10.49017 -10.15504 -10.12415 -9.90005 -9.82540 -9.68071 -9.34314 -8.68199 -8.59038 -6.88102 -5.68766 -3.10462 2.65231 2.86573 3.38695 3.43140 3.44220 3.49508 4.19238 4.30771 4.42733 4.50002 4.55493 4.59114 4.74465 4.77565 4.83791 4.93238 4.95573 5.03049 5.15067 5.19182 5.25213 5.33453 5.37219 5.38781 5.43748 5.46113 5.48355 5.52935 5.57343 5.61741 5.64753 5.69120 5.71155 5.81468 5.85704 5.90184 5.93058 5.95313 6.06242 6.09613 6.13180 6.22410 6.46895 6.51417 6.65839 6.70833 6.97333 7.46386 7.58122 7.80924 7.82666 8.20488 8.31692 9.18308 9.78621 10.43181 11.35155 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.020893 B = 0.002191 C = 0.002104 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1339.818717 B =12777.258099 C =13302.200011 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.122 4.122 3 C -0.111 4.111 4 C 0.091 3.909 5 H 0.059 0.941 6 C -0.129 4.129 7 C -0.103 4.103 8 H 0.096 0.904 9 C 0.545 3.455 10 O -0.545 6.545 11 N -0.641 5.641 12 C 0.112 3.888 13 C -0.103 4.103 14 C 0.121 3.879 15 C -0.129 4.129 16 C 0.153 3.847 17 N -0.604 5.604 18 C -0.223 4.223 19 H 0.076 0.924 20 C -0.010 4.010 21 N -0.922 5.922 22 Si 0.915 3.085 23 H -0.286 1.286 24 H -0.290 1.290 25 H -0.285 1.285 26 C 0.165 3.835 27 C -0.147 4.147 28 C 0.065 3.935 29 O -0.377 6.377 30 H 0.053 0.947 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.059 0.941 34 H 0.069 0.931 35 H 0.072 0.928 36 H 0.077 0.923 37 H 0.080 0.920 38 H 0.080 0.920 39 H 0.086 0.914 40 H 0.078 0.922 41 H 0.079 0.921 42 H 0.083 0.917 43 H 0.063 0.937 44 H 0.068 0.932 45 H 0.107 0.893 46 H 0.013 0.987 47 H 0.253 0.747 48 H 0.028 0.972 49 H 0.024 0.976 50 H 0.080 0.920 51 H 0.076 0.924 52 H 0.052 0.948 53 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.543 -13.990 10.798 24.207 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 -0.210 4.210 2 C -0.160 4.160 3 C -0.149 4.149 4 C 0.033 3.967 5 H 0.077 0.923 6 C -0.167 4.167 7 C -0.124 4.124 8 H 0.114 0.886 9 C 0.335 3.665 10 O -0.422 6.422 11 N -0.376 5.376 12 C -0.011 4.011 13 C -0.104 4.104 14 C -0.001 4.001 15 C -0.168 4.168 16 C 0.028 3.972 17 N -0.330 5.330 18 C -0.351 4.351 19 H 0.094 0.906 20 C -0.206 4.206 21 N -0.571 5.571 22 Si 0.745 3.255 23 H -0.212 1.212 24 H -0.215 1.215 25 H -0.211 1.211 26 C 0.039 3.961 27 C -0.185 4.185 28 C -0.012 4.012 29 O -0.296 6.296 30 H 0.073 0.927 31 H 0.072 0.928 32 H 0.071 0.929 33 H 0.077 0.923 34 H 0.088 0.912 35 H 0.090 0.910 36 H 0.095 0.905 37 H 0.098 0.902 38 H 0.098 0.902 39 H 0.104 0.896 40 H 0.096 0.904 41 H 0.098 0.902 42 H 0.101 0.899 43 H 0.081 0.919 44 H 0.087 0.913 45 H 0.125 0.875 46 H 0.031 0.969 47 H 0.064 0.936 48 H 0.046 0.954 49 H 0.042 0.958 50 H 0.099 0.901 51 H 0.094 0.906 52 H 0.071 0.929 53 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -17.154 -13.492 10.767 24.336 hybrid contribution 0.628 0.341 -1.078 1.294 sum -16.526 -13.151 9.689 23.236 Atomic orbital electron populations 1.21781 0.95979 1.01515 1.01757 1.21483 0.95567 0.96519 1.02404 1.21635 0.92454 0.97746 1.03049 1.22183 0.94809 0.92662 0.87035 0.92316 1.22048 0.93005 0.97244 1.04377 1.21290 0.97368 0.93740 0.99995 0.88569 1.20037 0.79832 0.90923 0.75708 1.90693 1.54427 1.46413 1.50685 1.49809 1.03629 1.11888 1.72273 1.23021 0.81284 0.96282 1.00538 1.22172 0.95316 0.95043 0.97861 1.22852 0.86456 0.90092 1.00746 1.22770 0.92989 1.01328 0.99721 1.21980 1.01165 0.92318 0.81690 1.44599 1.22123 1.62651 1.03626 1.19012 1.04059 1.29015 0.83046 0.90582 1.24780 0.97856 1.00236 0.97726 1.69775 1.18369 1.40839 1.28088 0.86147 0.78175 0.77640 0.83497 1.21225 1.21542 1.21148 1.20723 0.90566 0.95894 0.88878 1.22209 1.01744 0.97537 0.96996 1.22537 0.81178 0.95109 1.02355 1.87928 1.20687 1.82307 1.38705 0.92746 0.92844 0.92852 0.92272 0.91235 0.90968 0.90474 0.90154 0.90168 0.89563 0.90400 0.90213 0.89897 0.91864 0.91329 0.87527 0.96867 0.93647 0.95404 0.95843 0.90136 0.90565 0.92943 0.88510 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 -0.15 -0.99 9.91 37.16 0.37 -0.62 16 2 C -0.12 -0.90 5.83 -26.73 -0.16 -1.06 16 3 C -0.11 -0.90 4.92 -26.73 -0.13 -1.03 16 4 C 0.09 0.83 2.64 -26.68 -0.07 0.76 16 5 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 6 C -0.13 -1.39 4.02 -26.59 -0.11 -1.50 16 7 C -0.10 -1.14 2.48 -91.59 -0.23 -1.36 16 8 H 0.10 0.98 8.14 -51.93 -0.42 0.55 16 9 C 0.55 8.15 7.41 -10.99 -0.08 8.07 16 10 O -0.54 -10.21 16.74 5.56 0.09 -10.12 16 11 N -0.64 -9.14 3.65 -185.45 -0.68 -9.82 16 12 C 0.11 1.35 6.19 -7.44 -0.05 1.30 16 13 C -0.10 -1.62 1.05 -155.11 -0.16 -1.79 16 14 C 0.12 1.85 7.89 -7.59 -0.06 1.79 16 15 C -0.13 -2.16 6.49 -25.20 -0.16 -2.33 16 16 C 0.15 3.52 5.90 -2.31 -0.01 3.51 16 17 N -0.60 -14.98 3.41 -170.38 -0.58 -15.56 16 18 C -0.22 -6.11 10.28 -15.06 -0.15 -6.27 16 19 H 0.08 2.02 7.83 -52.49 -0.41 1.61 16 20 C -0.01 -0.29 5.49 -17.43 -0.10 -0.39 16 21 N -0.92 -26.29 10.09 55.49 0.56 -25.73 16 22 Si 0.92 21.81 29.55 -169.99 -5.02 16.79 16 23 H -0.29 -6.78 7.11 56.52 0.40 -6.38 16 24 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 25 H -0.28 -6.67 7.11 56.52 0.40 -6.27 16 26 C 0.17 3.33 6.78 -3.61 -0.02 3.30 16 27 C -0.15 -1.33 5.27 -26.59 -0.14 -1.47 16 28 C 0.07 0.52 6.84 37.20 0.25 0.77 16 29 O -0.38 -3.73 9.94 -35.23 -0.35 -4.08 16 30 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 31 H 0.05 0.33 8.14 -51.93 -0.42 -0.10 16 32 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 33 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 34 H 0.07 0.57 7.82 -51.93 -0.41 0.16 16 35 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 36 H 0.08 0.57 8.14 -51.92 -0.42 0.14 16 37 H 0.08 0.90 8.14 -51.93 -0.42 0.48 16 38 H 0.08 0.98 8.03 -51.93 -0.42 0.56 16 39 H 0.09 0.85 8.11 -51.93 -0.42 0.43 16 40 H 0.08 0.85 8.09 -51.93 -0.42 0.43 16 41 H 0.08 1.39 8.06 -51.93 -0.42 0.98 16 42 H 0.08 1.13 8.04 -51.93 -0.42 0.71 16 43 H 0.06 0.92 7.98 -51.93 -0.41 0.50 16 44 H 0.07 1.10 8.14 -51.93 -0.42 0.68 16 45 H 0.11 2.77 5.89 -51.93 -0.31 2.47 16 46 H 0.01 0.33 8.14 -51.93 -0.42 -0.09 16 47 H 0.25 7.02 8.31 -40.82 -0.34 6.68 16 48 H 0.03 0.55 8.07 -51.93 -0.42 0.13 16 49 H 0.02 0.51 7.92 -51.93 -0.41 0.09 16 50 H 0.08 0.65 6.48 -51.93 -0.34 0.31 16 51 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 52 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 53 H 0.10 0.63 8.14 -51.93 -0.42 0.21 16 LS Contribution 408.72 15.07 6.16 6.16 Total: -1.00 -31.84 408.72 -10.68 -42.52 By element: Atomic # 1 Polarization: 7.98 SS G_CDS: -9.85 Total: -1.87 kcal Atomic # 6 Polarization: 2.71 SS G_CDS: -1.01 Total: 1.70 kcal Atomic # 7 Polarization: -50.41 SS G_CDS: -0.70 Total: -51.11 kcal Atomic # 8 Polarization: -13.94 SS G_CDS: -0.26 Total: -14.20 kcal Atomic # 14 Polarization: 21.81 SS G_CDS: -5.02 Total: 16.79 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -31.84 -10.68 -42.52 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. ZINC001073083481.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 6.761 kcal (2) G-P(sol) polarization free energy of solvation -31.841 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -25.080 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.682 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.523 kcal (6) G-S(sol) free energy of system = (1) + (5) -35.762 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.22 seconds