Wall clock time and date at job start Sat Mar 6 2021 17:21:45 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.53005 * 109.47103 * 2 1 4 4 C 1.53002 * 109.47497 * 240.00350 * 2 1 3 5 5 O 1.45195 * 109.47224 * 120.00099 * 2 1 3 6 6 C 1.34638 * 117.00135 * 60.00489 * 5 2 1 7 7 O 1.21513 * 119.99867 * 359.97438 * 6 5 2 8 8 N 1.34777 * 120.00235 * 180.02562 * 6 5 2 9 9 C 1.46498 * 119.99828 * 180.27525 * 8 6 5 10 10 H 1.08995 * 109.47013 * 324.72129 * 9 8 6 11 11 C 1.52999 * 109.47257 * 84.72116 * 9 8 6 12 12 C 1.53003 * 109.47010 * 179.97438 * 11 9 8 13 13 C 1.52997 * 109.47127 * 300.00125 * 12 11 9 14 14 H 1.08995 * 109.47275 * 299.99879 * 13 12 11 15 15 N 1.46507 * 109.46984 * 180.02562 * 13 12 11 16 16 C 1.34770 * 120.00252 * 85.00158 * 15 13 12 17 17 O 1.21568 * 119.99936 * 359.97438 * 16 15 13 18 18 C 1.47689 * 120.00134 * 180.02562 * 16 15 13 19 19 C 1.39830 * 120.16969 * 179.97438 * 18 16 15 20 20 F 1.35101 * 120.10491 * 359.97438 * 19 18 16 21 21 C 1.38320 * 119.78062 * 179.97438 * 19 18 16 22 22 C 1.38205 * 120.11442 * 0.02562 * 21 19 18 23 23 C 1.38445 * 120.34403 * 359.97438 * 22 21 19 24 24 C 1.50701 * 119.89258 * 180.02562 * 23 22 21 25 25 O 1.42897 * 109.47377 * 244.99994 * 24 23 22 26 26 Si 1.86300 * 109.47129 * 5.00323 * 24 23 22 27 27 C 1.37867 * 120.21844 * 359.76726 * 23 22 21 28 28 C 1.52999 * 109.47278 * 60.00039 * 13 12 11 29 29 C 1.52994 * 109.47024 * 299.99839 * 28 13 12 30 30 H 1.08996 * 109.47509 * 299.99293 * 1 2 3 31 31 H 1.09006 * 109.47298 * 59.99979 * 1 2 3 32 32 H 1.09003 * 109.46856 * 179.97438 * 1 2 3 33 33 H 1.08995 * 109.47042 * 179.97438 * 3 2 1 34 34 H 1.08992 * 109.47205 * 300.00164 * 3 2 1 35 35 H 1.09001 * 109.46587 * 60.00389 * 3 2 1 36 36 H 1.09003 * 109.46840 * 300.00288 * 4 2 1 37 37 H 1.09006 * 109.47115 * 59.99560 * 4 2 1 38 38 H 1.08995 * 109.47291 * 179.97438 * 4 2 1 39 39 H 0.97001 * 119.99727 * 359.97438 * 8 6 5 40 40 H 1.08996 * 109.47245 * 299.99926 * 11 9 8 41 41 H 1.08995 * 109.47098 * 60.00065 * 11 9 8 42 42 H 1.08996 * 109.47077 * 179.97438 * 12 11 9 43 43 H 1.09003 * 109.47062 * 60.00488 * 12 11 9 44 44 H 0.97001 * 119.99344 * 264.99843 * 15 13 12 45 45 H 1.07999 * 119.93869 * 180.02562 * 21 19 18 46 46 H 1.08000 * 119.82620 * 179.97438 * 22 21 19 47 47 H 1.09001 * 109.47070 * 124.99946 * 24 23 22 48 48 H 0.96706 * 113.99633 * 60.00674 * 25 24 23 49 49 H 1.48503 * 109.99996 * 58.67764 * 26 24 23 50 50 H 1.48500 * 110.00292 * 179.97438 * 26 24 23 51 51 H 1.08001 * 120.05905 * 180.25820 * 27 23 22 52 52 H 1.08996 * 109.47245 * 179.97438 * 28 13 12 53 53 H 1.09003 * 109.46809 * 59.99699 * 28 13 12 54 54 H 1.08994 * 109.47599 * 300.00048 * 29 28 13 55 55 H 1.08998 * 109.47530 * 179.97438 * 29 28 13 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 1.4426 0.0000 4 6 2.0401 -0.7212 -1.2493 5 8 2.0140 -0.6845 1.1855 6 6 1.6523 -1.9723 1.3382 7 8 0.9510 -2.5095 0.5039 8 7 2.0673 -2.6655 2.4170 9 6 1.6788 -4.0686 2.5801 10 1 0.6695 -4.2132 2.1946 11 6 2.6525 -4.9606 1.8074 12 6 2.2470 -6.4260 1.9783 13 6 2.2845 -6.7958 3.4624 14 1 3.2938 -6.6508 3.8476 15 7 1.8968 -8.1991 3.6259 16 6 2.8189 -9.1729 3.4926 17 8 3.9723 -8.8869 3.2363 18 6 2.4279 -10.5876 3.6569 19 6 3.3816 -11.6009 3.5189 20 9 4.6650 -11.2893 3.2341 21 6 3.0067 -12.9231 3.6750 22 6 1.6937 -13.2419 3.9658 23 6 0.7454 -12.2427 4.1035 24 6 -0.6833 -12.6018 4.4214 25 8 -1.5222 -12.2339 3.3246 26 14 -0.8120 -14.4372 4.7134 27 6 1.1048 -10.9198 3.9562 28 6 1.3108 -5.9038 4.2351 29 6 1.7163 -4.4385 4.0643 30 1 -0.3634 0.5137 0.8900 31 1 -0.3634 0.5139 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 3.1300 1.4425 0.0005 34 1 1.6767 1.9564 -0.8899 35 1 1.6767 1.9563 0.8901 36 1 1.6767 -1.7488 -1.2493 37 1 1.6767 -0.2073 -2.1393 38 1 3.1300 -0.7207 -1.2495 39 1 2.6269 -2.2366 3.0832 40 1 2.6261 -4.6968 0.7502 41 1 3.6617 -4.8159 2.1928 42 1 2.9404 -7.0614 1.4274 43 1 1.2376 -6.5709 1.5930 44 1 0.9764 -8.4273 3.8301 45 1 3.7413 -13.7077 3.5693 46 1 1.4061 -14.2759 4.0863 47 1 -1.0014 -12.0682 5.3170 48 1 -1.2963 -12.6718 2.4925 49 1 0.0801 -14.8375 5.8311 50 1 -2.2160 -14.8042 5.0284 51 1 0.3638 -10.1422 4.0683 52 1 1.3372 -6.1675 5.2923 53 1 0.3014 -6.0487 3.8498 54 1 2.7255 -4.2935 4.4494 55 1 1.0224 -3.8029 4.6143 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 No. of singly occupied orbitals= 1 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_12463208_12335834.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 17:21:45 Heat of formation + Delta-G solvation = -172.691019 kcal Electronic energy + Delta-G solvation = -37518.697767 eV Core-core repulsion = 32436.396005 eV Total energy + Delta-G solvation = -5082.301762 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 395.199 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -50.01992 -41.94492 -41.48309 -40.32799 -39.50003 -38.02023 -37.41988 -36.15203 -35.17919 -34.11331 -32.60696 -32.25796 -31.91936 -29.44274 -28.39029 -28.32216 -26.61137 -25.63002 -24.35204 -23.95587 -23.13951 -22.27125 -21.63473 -21.40992 -20.79915 -19.39579 -19.04550 -18.29535 -18.27673 -17.82802 -17.55318 -17.20007 -16.96817 -16.91140 -16.68413 -16.24890 -16.04986 -15.85949 -15.68832 -15.63494 -15.50105 -15.14568 -15.02454 -14.76647 -14.54373 -14.48390 -14.36426 -14.15413 -13.79346 -13.65592 -13.37279 -13.33516 -13.22937 -13.15156 -12.94337 -12.89467 -12.87863 -12.77461 -12.66115 -12.39072 -12.30246 -12.21460 -12.16658 -11.87434 -11.58855 -11.57495 -11.40596 -11.21430 -11.09817 -10.45081 -10.42939 -10.23704 -10.11911 -9.83073 -4.96113 -0.50041 -0.03428 1.13555 1.32184 1.59986 1.67918 1.73815 1.93141 2.02939 2.47584 3.04564 3.10318 3.36645 3.45658 3.54789 3.56425 3.61899 3.67898 3.72262 3.77442 3.90056 3.92317 3.98246 4.04220 4.08509 4.11655 4.26962 4.30157 4.38298 4.43871 4.50444 4.58352 4.58526 4.59060 4.66100 4.71923 4.74195 4.76492 4.81824 4.82956 4.85414 4.91892 4.94801 5.00901 5.04800 5.06284 5.07425 5.13883 5.17785 5.21761 5.24802 5.28185 5.37893 5.41251 5.58006 5.59553 6.35821 6.38317 6.79615 7.04701 7.32837 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.179 4.179 2 C 0.127 3.873 3 C -0.138 4.138 4 C -0.180 4.180 5 O -0.371 6.371 6 C 0.643 3.357 7 O -0.592 6.592 8 N -0.698 5.698 9 C 0.165 3.835 10 H 0.083 0.917 11 C -0.122 4.122 12 C -0.119 4.119 13 C 0.146 3.854 14 H 0.074 0.926 15 N -0.705 5.705 16 C 0.554 3.446 17 O -0.570 6.570 18 C -0.189 4.189 19 C 0.132 3.868 20 F -0.137 7.137 21 C -0.153 4.153 22 C -0.050 4.050 23 C -0.135 4.135 24 C -0.066 4.066 25 O -0.551 6.551 26 Si 0.767 3.233 27 C -0.025 4.025 28 C -0.114 4.114 29 C -0.116 4.116 30 H 0.063 0.937 31 H 0.086 0.914 32 H 0.064 0.936 33 H 0.068 0.932 34 H 0.098 0.902 35 H 0.070 0.930 36 H 0.063 0.937 37 H 0.087 0.913 38 H 0.059 0.941 39 H 0.416 0.584 40 H 0.051 0.949 41 H 0.068 0.932 42 H 0.047 0.953 43 H 0.075 0.925 44 H 0.415 0.585 45 H 0.167 0.833 46 H 0.169 0.831 47 H 0.120 0.880 48 H 0.397 0.603 49 H -0.282 1.282 50 H -0.302 1.302 51 H 0.159 0.841 52 H 0.093 0.907 53 H 0.088 0.912 54 H 0.083 0.917 55 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.328 -1.783 2.381 5.252 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 -0.236 4.236 2 C 0.091 3.909 3 C -0.195 4.195 4 C -0.237 4.237 5 O -0.285 6.285 6 C 0.397 3.603 7 O -0.483 6.483 8 N -0.357 5.357 9 C 0.062 3.938 10 H 0.101 0.899 11 C -0.162 4.162 12 C -0.158 4.158 13 C 0.041 3.959 14 H 0.092 0.908 15 N -0.357 5.357 16 C 0.342 3.658 17 O -0.450 6.450 18 C -0.193 4.193 19 C 0.112 3.888 20 F -0.116 7.116 21 C -0.171 4.171 22 C -0.067 4.067 23 C -0.135 4.135 24 C -0.176 4.176 25 O -0.360 6.360 26 Si 0.674 3.326 27 C -0.044 4.044 28 C -0.152 4.152 29 C -0.154 4.154 30 H 0.082 0.918 31 H 0.105 0.895 32 H 0.083 0.917 33 H 0.087 0.913 34 H 0.117 0.883 35 H 0.089 0.911 36 H 0.082 0.918 37 H 0.105 0.895 38 H 0.078 0.922 39 H 0.253 0.747 40 H 0.070 0.930 41 H 0.087 0.913 42 H 0.066 0.934 43 H 0.094 0.906 44 H 0.253 0.747 45 H 0.185 0.815 46 H 0.186 0.814 47 H 0.137 0.863 48 H 0.247 0.753 49 H -0.208 1.208 50 H -0.230 1.230 51 H 0.176 0.824 52 H 0.112 0.888 53 H 0.107 0.893 54 H 0.102 0.898 55 H 0.113 0.887 Dipole moment (debyes) X Y Z Total from point charges -4.304 -1.976 2.745 5.474 hybrid contribution 0.549 0.685 0.194 0.899 sum -3.755 -1.290 2.939 4.940 Atomic orbital electron populations 1.22465 0.93882 1.03745 1.03525 1.22346 0.94570 0.92539 0.81463 1.21890 1.02384 0.90921 1.04279 1.22473 1.01508 1.02273 0.97479 1.86311 1.71554 1.23413 1.47238 1.18372 0.78696 0.80699 0.82547 1.90904 1.42261 1.71032 1.44069 1.44825 1.55386 1.12296 1.23187 1.21043 0.98712 0.76956 0.97061 0.89867 1.21826 0.99800 0.94200 1.00330 1.21774 1.02201 0.95365 0.96446 1.21070 1.00081 0.79470 0.95238 0.90761 1.45825 1.12589 1.05881 1.71427 1.18322 0.85104 0.85847 0.76489 1.90841 1.20555 1.84205 1.49434 1.20079 0.95634 0.92412 1.11206 1.18231 0.78347 0.94113 0.98117 1.91559 1.35791 1.93987 1.90215 1.21396 0.98895 0.93881 1.02943 1.21377 0.91189 1.00416 0.93753 1.20482 0.97189 0.93235 1.02637 1.25103 0.86403 1.12870 0.93217 1.86500 1.56137 1.72005 1.21323 0.93851 0.77448 0.74771 0.86562 1.21210 0.92603 0.97612 0.92926 1.21716 0.99198 0.92821 1.01508 1.21724 1.04270 0.96411 0.92997 0.91841 0.89522 0.91709 0.91324 0.88319 0.91087 0.91807 0.89464 0.92170 0.74678 0.93037 0.91319 0.93435 0.90612 0.74680 0.81528 0.81396 0.86290 0.75264 1.20833 1.23025 0.82388 0.88831 0.89328 0.89849 0.88741 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 -0.18 -0.62 8.37 71.98 0.60 -0.01 16 2 C 0.13 0.45 1.13 -10.79 -0.01 0.44 16 3 C -0.14 0.20 8.85 71.98 0.64 0.84 16 4 C -0.18 -0.77 8.37 71.98 0.60 -0.16 16 5 O -0.37 -2.26 9.94 -55.48 -0.55 -2.81 16 6 C 0.64 4.56 8.02 129.79 1.04 5.60 16 7 O -0.59 -7.22 11.55 19.80 0.23 -6.99 16 8 N -0.70 -0.46 5.08 -570.13 -2.90 -3.36 16 9 C 0.17 -0.16 2.45 44.99 0.11 -0.05 16 10 H 0.08 0.15 7.58 -2.39 -0.02 0.14 16 11 C -0.12 -0.26 5.49 30.60 0.17 -0.09 16 12 C -0.12 -0.23 5.49 30.59 0.17 -0.06 16 13 C 0.15 -0.12 2.45 44.99 0.11 -0.01 16 14 H 0.07 0.27 7.57 -2.39 -0.02 0.26 16 15 N -0.71 0.59 5.03 -445.56 -2.24 -1.65 16 16 C 0.55 3.83 7.73 86.74 0.67 4.50 16 17 O -0.57 -9.37 15.00 -3.93 -0.06 -9.42 16 18 C -0.19 -0.57 5.88 -20.05 -0.12 -0.69 16 19 C 0.13 0.66 7.29 22.67 0.17 0.82 16 20 F -0.14 -1.67 15.55 44.97 0.70 -0.97 16 21 C -0.15 0.39 10.01 22.28 0.22 0.61 16 22 C -0.05 0.34 8.66 22.31 0.19 0.53 16 23 C -0.13 0.81 5.34 -19.90 -0.11 0.70 16 24 C -0.07 0.48 2.79 71.24 0.20 0.68 16 25 O -0.55 3.45 12.83 -148.98 -1.91 1.54 16 26 Si 0.77 -5.69 29.79 68.60 2.04 -3.65 16 27 C -0.02 0.10 9.17 22.52 0.21 0.30 16 28 C -0.11 0.81 5.39 30.59 0.16 0.97 16 29 C -0.12 0.77 5.39 30.59 0.16 0.93 16 30 H 0.06 0.16 8.14 -2.39 -0.02 0.14 16 31 H 0.09 0.00 8.14 -2.38 -0.02 -0.02 16 32 H 0.06 0.56 5.88 -2.39 -0.01 0.54 16 33 H 0.07 -0.10 8.14 -2.39 -0.02 -0.12 16 34 H 0.10 -0.47 8.14 -2.39 -0.02 -0.49 16 35 H 0.07 -0.13 8.14 -2.39 -0.02 -0.15 16 36 H 0.06 0.61 5.88 -2.39 -0.01 0.60 16 37 H 0.09 0.06 8.14 -2.38 -0.02 0.04 16 38 H 0.06 0.24 8.14 -2.39 -0.02 0.22 16 39 H 0.42 -1.60 8.71 -92.71 -0.81 -2.41 16 40 H 0.05 0.36 8.14 -2.39 -0.02 0.34 16 41 H 0.07 0.15 8.14 -2.39 -0.02 0.13 16 42 H 0.05 0.36 8.14 -2.39 -0.02 0.34 16 43 H 0.08 0.04 8.14 -2.39 -0.02 0.02 16 44 H 0.41 -3.00 6.64 -92.71 -0.62 -3.62 16 45 H 0.17 -1.10 8.06 -2.91 -0.02 -1.13 16 46 H 0.17 -2.12 4.88 -2.91 -0.01 -2.14 16 47 H 0.12 -0.86 7.96 -2.39 -0.02 -0.88 16 48 H 0.40 -5.41 8.70 -74.05 -0.64 -6.06 16 49 H -0.28 0.77 7.11 99.48 0.71 1.48 16 50 H -0.30 -0.40 7.11 99.48 0.71 0.30 16 51 H 0.16 -1.36 6.41 -2.91 -0.02 -1.38 16 52 H 0.09 -0.84 8.14 -2.39 -0.02 -0.86 16 53 H 0.09 -0.80 8.14 -2.39 -0.02 -0.82 16 54 H 0.08 -0.62 8.14 -2.39 -0.02 -0.64 16 55 H 0.09 -0.81 8.14 -2.39 -0.02 -0.83 16 Total: 0.00 -27.84 437.69 -0.58 -28.43 By element: Atomic # 1 Polarization: -15.89 SS G_CDS: -1.08 Total: -16.98 kcal Atomic # 6 Polarization: 10.67 SS G_CDS: 5.19 Total: 15.87 kcal Atomic # 7 Polarization: 0.13 SS G_CDS: -5.14 Total: -5.01 kcal Atomic # 8 Polarization: -15.40 SS G_CDS: -2.29 Total: -17.69 kcal Atomic # 9 Polarization: -1.67 SS G_CDS: 0.70 Total: -0.97 kcal Atomic # 14 Polarization: -5.69 SS G_CDS: 2.04 Total: -3.65 kcal Total: -27.84 -0.58 -28.43 kcal The number of atoms in the molecule is 55 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. s_22_12463208_12335834.mol2 55 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 -144.265 kcal (2) G-P(sol) polarization free energy of solvation -27.845 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -172.110 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -0.581 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -28.426 kcal (6) G-S(sol) free energy of system = (1) + (5) -172.691 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds