Wall clock time and date at job start Sat Apr 11 2020 06:10:11 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 1.53006 * 1 3 3 H 1.08997 * 109.46982 * 2 1 4 4 C 1.50696 * 109.47122 * 119.99683 * 2 1 3 5 5 H 1.08006 * 119.99524 * 119.99701 * 4 2 1 6 6 C 1.37874 * 120.00254 * 300.00147 * 4 2 1 7 7 N 1.31516 * 119.99981 * 359.97438 * 6 4 2 8 8 Si 1.86801 * 120.00079 * 179.97438 * 6 4 2 9 9 H 1.48497 * 109.46884 * 359.97438 * 8 6 4 10 10 H 1.48501 * 109.47092 * 119.99724 * 8 6 4 11 11 H 1.48500 * 109.46976 * 239.99655 * 8 6 4 12 12 N 1.46501 * 109.46720 * 239.99753 * 2 1 3 13 13 C 1.46493 * 120.00413 * 294.28321 * 12 2 1 14 14 C 1.34780 * 119.99623 * 114.29110 * 12 2 1 15 15 O 1.21282 * 119.99882 * 183.79662 * 14 12 2 16 16 C 1.50700 * 120.00053 * 3.78967 * 14 12 2 17 17 C 1.53039 * 109.45674 * 190.57342 * 16 14 12 18 18 C 1.53190 * 109.31215 * 178.61568 * 17 16 14 19 19 N 1.46928 * 108.89440 * 54.56532 * 18 17 16 20 20 C 1.34772 * 120.63290 * 126.46446 * 19 18 17 21 21 O 1.21515 * 119.99930 * 359.97438 * 20 19 18 22 22 O 1.34631 * 120.00050 * 180.02562 * 20 19 18 23 23 C 1.45207 * 117.00347 * 179.97438 * 22 20 19 24 24 C 1.53000 * 109.47106 * 59.99628 * 23 22 20 25 25 C 1.52996 * 109.47421 * 179.97438 * 23 22 20 26 26 C 1.53001 * 109.46821 * 300.00123 * 23 22 20 27 27 C 1.46961 * 118.71479 * 306.64362 * 19 18 17 28 28 C 1.53041 * 109.45887 * 70.50969 * 16 14 12 29 29 H 1.09002 * 109.46947 * 300.00225 * 1 2 3 30 30 H 1.09000 * 109.46834 * 59.99996 * 1 2 3 31 31 H 1.08997 * 109.46982 * 180.02562 * 1 2 3 32 32 H 0.96998 * 119.99956 * 179.97438 * 7 6 4 33 33 H 1.09001 * 109.47622 * 265.00857 * 13 12 2 34 34 H 1.09003 * 109.46851 * 25.01045 * 13 12 2 35 35 H 1.08996 * 109.47218 * 145.00189 * 13 12 2 36 36 H 1.09000 * 109.46193 * 310.54383 * 16 14 12 37 37 H 1.09003 * 109.50093 * 58.66310 * 17 16 14 38 38 H 1.09000 * 109.50281 * 298.56983 * 17 16 14 39 39 H 1.09003 * 109.59096 * 174.42259 * 18 17 16 40 40 H 1.09003 * 109.59015 * 294.70430 * 18 17 16 41 41 H 1.09001 * 109.46814 * 59.99896 * 24 23 22 42 42 H 1.08994 * 109.47345 * 180.02562 * 24 23 22 43 43 H 1.09004 * 109.47252 * 300.00843 * 24 23 22 44 44 H 1.08998 * 109.47338 * 59.99750 * 25 23 22 45 45 H 1.08994 * 109.47034 * 180.02562 * 25 23 22 46 46 H 1.09007 * 109.47123 * 300.00000 * 25 23 22 47 47 H 1.09000 * 109.47637 * 59.99563 * 26 23 22 48 48 H 1.09002 * 109.47227 * 179.97438 * 26 23 22 49 49 H 1.08998 * 109.46848 * 299.99582 * 26 23 22 50 50 H 1.09008 * 109.46668 * 293.57419 * 27 19 18 51 51 H 1.08994 * 109.71648 * 173.28353 * 27 19 18 52 52 H 1.08997 * 109.49593 * 301.33584 * 28 16 14 53 53 H 1.08999 * 109.49599 * 61.43094 * 28 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 1.5301 0.0000 0.0000 3 1 1.8934 1.0276 0.0000 4 6 2.0324 -0.7103 1.2305 5 1 2.6533 -1.5885 1.1313 6 6 1.6993 -0.2393 2.4827 7 7 0.9436 0.8303 2.6034 8 14 2.3214 -1.1202 4.0080 9 1 3.1455 -2.2876 3.6038 10 1 3.1467 -0.1872 4.8165 11 1 1.1661 -1.5865 4.8161 12 7 2.0183 -0.6907 -1.1962 13 6 1.7706 -2.1244 -1.3666 14 6 2.6956 -0.0070 -2.1398 15 8 3.0398 -0.5626 -3.1614 16 6 3.0250 1.4479 -1.9254 17 6 3.5518 2.0489 -3.2306 18 6 3.8530 3.5358 -3.0183 19 7 4.7668 3.6780 -1.8766 20 6 5.9207 4.3630 -2.0017 21 8 6.2139 4.8699 -3.0665 22 8 6.7489 4.4849 -0.9474 23 6 7.9743 5.2358 -1.1549 24 6 7.6308 6.6663 -1.5754 25 6 8.7801 5.2666 0.1453 26 6 8.8028 4.5664 -2.2533 27 6 4.4001 3.0553 -0.5969 28 6 4.0928 1.5737 -0.8363 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 0.7090 1.1615 3.4844 33 1 2.6320 -2.6873 -1.0074 34 1 0.8863 -2.4105 -0.7971 35 1 1.6087 -2.3422 -2.4223 36 1 2.1265 1.9820 -1.6164 37 1 2.7999 1.9379 -4.0119 38 1 4.4643 1.5316 -3.5272 39 1 4.3205 3.9455 -3.9137 40 1 2.9257 4.0708 -2.8130 41 1 7.0405 7.1431 -0.7929 42 1 8.5506 7.2298 -1.7316 43 1 7.0565 6.6447 -2.5016 44 1 9.0248 4.2476 0.4453 45 1 9.6996 5.8306 -0.0104 46 1 8.1896 5.7437 0.9276 47 1 8.2285 4.5449 -3.1795 48 1 9.7224 5.1304 -2.4094 49 1 9.0475 3.5474 -1.9537 50 1 3.5177 3.5506 -0.1916 51 1 5.2269 3.1478 0.1072 52 1 3.7259 1.1245 0.0865 53 1 5.0002 1.0609 -1.1555 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 ZINC000491171429.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 06:10:11 Heat of formation + Delta-G solvation = -123.003222 kcal Electronic energy + Delta-G solvation = -32158.589500 eV Core-core repulsion = 28030.293421 eV Total energy + Delta-G solvation = -4128.296079 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.66 seconds Orbital eigenvalues (eV) -40.87179 -39.68989 -37.98370 -36.29874 -35.63177 -34.18449 -32.69917 -32.57948 -30.92777 -29.22595 -27.52505 -27.47925 -27.21741 -25.38673 -25.11716 -23.22026 -22.35336 -21.41260 -20.41948 -19.20790 -18.39769 -17.65742 -16.67732 -16.57763 -16.32567 -16.12166 -15.32562 -15.06147 -14.72431 -14.55544 -14.48700 -14.30944 -13.80467 -13.62498 -13.28403 -13.22987 -13.07377 -12.77451 -12.61998 -12.30220 -12.25797 -11.99423 -11.95982 -11.89675 -11.75435 -11.58900 -11.48285 -11.34543 -11.33380 -11.15664 -11.06400 -10.91906 -10.74536 -10.48454 -10.40816 -10.37391 -10.25208 -10.19304 -9.91912 -9.37329 -9.00415 -8.63876 -8.55299 -7.66329 -6.24611 -4.32914 2.20170 2.90918 3.16464 3.26173 3.28617 3.34808 3.85154 3.94881 4.27046 4.61325 4.65764 4.79583 4.90090 5.04465 5.07456 5.10612 5.24087 5.33779 5.37941 5.41091 5.46236 5.56063 5.56900 5.65081 5.68466 5.74534 5.85032 5.87000 5.89332 5.93929 6.01951 6.16851 6.17842 6.21608 6.23181 6.27565 6.38045 6.43592 6.50757 6.53008 6.59916 6.69229 6.70624 6.91411 7.13780 7.35722 7.45896 7.60982 7.78902 8.05184 8.40825 8.42815 8.70389 8.97995 9.36217 10.79928 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011590 B = 0.003480 C = 0.002932 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2415.398484 B = 8044.974340 C = 9547.180920 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 0.249 3.751 3 H 0.060 0.940 4 C -0.529 4.529 5 H 0.063 0.937 6 C 0.069 3.931 7 N -0.886 5.886 8 Si 0.895 3.105 9 H -0.273 1.273 10 H -0.282 1.282 11 H -0.283 1.283 12 N -0.591 5.591 13 C 0.099 3.901 14 C 0.512 3.488 15 O -0.575 6.575 16 C -0.102 4.102 17 C -0.113 4.113 18 C 0.128 3.872 19 N -0.592 5.592 20 C 0.654 3.346 21 O -0.577 6.577 22 O -0.361 6.361 23 C 0.135 3.865 24 C -0.182 4.182 25 C -0.141 4.141 26 C -0.183 4.183 27 C 0.115 3.885 28 C -0.130 4.130 29 H 0.095 0.905 30 H 0.012 0.988 31 H 0.032 0.968 32 H 0.264 0.736 33 H 0.043 0.957 34 H 0.070 0.930 35 H 0.054 0.946 36 H 0.096 0.904 37 H 0.080 0.920 38 H 0.074 0.926 39 H 0.095 0.905 40 H 0.072 0.928 41 H 0.059 0.941 42 H 0.067 0.933 43 H 0.087 0.913 44 H 0.067 0.933 45 H 0.078 0.922 46 H 0.067 0.933 47 H 0.088 0.912 48 H 0.067 0.933 49 H 0.059 0.941 50 H 0.077 0.923 51 H 0.093 0.907 52 H 0.112 0.888 53 H 0.065 0.935 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.839 8.932 -4.814 13.457 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 -0.212 4.212 2 C 0.149 3.851 3 H 0.077 0.923 4 C -0.567 4.567 5 H 0.081 0.919 6 C -0.134 4.134 7 N -0.524 5.524 8 Si 0.723 3.277 9 H -0.197 1.197 10 H -0.208 1.208 11 H -0.209 1.209 12 N -0.321 5.321 13 C -0.045 4.045 14 C 0.300 3.700 15 O -0.457 6.457 16 C -0.123 4.123 17 C -0.151 4.151 18 C 0.007 3.993 19 N -0.332 5.332 20 C 0.409 3.591 21 O -0.468 6.468 22 O -0.275 6.275 23 C 0.098 3.902 24 C -0.240 4.240 25 C -0.198 4.198 26 C -0.240 4.240 27 C -0.007 4.007 28 C -0.169 4.169 29 H 0.113 0.887 30 H 0.031 0.969 31 H 0.051 0.949 32 H 0.074 0.926 33 H 0.062 0.938 34 H 0.089 0.911 35 H 0.073 0.927 36 H 0.114 0.886 37 H 0.099 0.901 38 H 0.093 0.907 39 H 0.114 0.886 40 H 0.090 0.910 41 H 0.078 0.922 42 H 0.086 0.914 43 H 0.106 0.894 44 H 0.086 0.914 45 H 0.097 0.903 46 H 0.086 0.914 47 H 0.106 0.894 48 H 0.086 0.914 49 H 0.078 0.922 50 H 0.095 0.905 51 H 0.111 0.889 52 H 0.130 0.870 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges 9.071 8.936 -5.455 13.852 hybrid contribution 0.173 -0.554 1.115 1.257 sum 9.244 8.381 -4.339 13.211 Atomic orbital electron populations 1.22157 0.98262 0.99921 1.00818 1.19184 0.91321 0.93688 0.80936 0.92267 1.21351 1.31987 1.13376 0.89985 0.91927 1.24860 0.94699 0.94901 0.98943 1.69858 1.36074 1.22558 1.23924 0.86478 0.78723 0.79788 0.82719 1.19744 1.20814 1.20922 1.48265 1.53162 1.09148 1.21525 1.21324 1.00907 0.81789 1.00433 1.20439 0.77929 0.88725 0.82886 1.90590 1.55433 1.71238 1.28409 1.21216 1.00241 0.94034 0.96793 1.21752 1.02569 0.93952 0.96854 1.21683 0.92260 0.96844 0.88515 1.47093 1.18390 1.53799 1.13927 1.17952 0.80570 0.78467 0.82084 1.90852 1.75410 1.52468 1.28029 1.86322 1.32073 1.70516 1.38618 1.22028 0.80868 0.90698 0.96566 1.22508 1.02909 0.94649 1.03885 1.21855 0.99157 1.03320 0.95489 1.22511 1.00367 1.00737 1.00403 1.21791 1.01931 0.93080 0.83894 1.22044 0.98418 0.95853 1.00560 0.88673 0.96926 0.94881 0.92583 0.93790 0.91113 0.92706 0.88578 0.90122 0.90749 0.88622 0.90978 0.92218 0.91383 0.89381 0.91396 0.90342 0.91432 0.89361 0.91385 0.92163 0.90519 0.88898 0.86979 0.91634 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 -0.15 -3.28 9.04 37.16 0.34 -2.95 16 2 C 0.25 5.40 1.71 -69.08 -0.12 5.28 16 3 H 0.06 1.30 4.47 -51.93 -0.23 1.07 16 4 C -0.53 -12.62 7.97 -34.44 -0.27 -12.90 16 5 H 0.06 1.54 7.44 -52.48 -0.39 1.15 16 6 C 0.07 1.67 5.30 -17.82 -0.09 1.58 16 7 N -0.89 -22.00 11.32 55.43 0.63 -21.37 16 8 Si 0.90 19.36 29.54 -169.99 -5.02 14.34 16 9 H -0.27 -5.94 7.11 56.52 0.40 -5.54 16 10 H -0.28 -6.11 7.11 56.52 0.40 -5.71 16 11 H -0.28 -6.18 7.11 56.52 0.40 -5.77 16 12 N -0.59 -12.09 2.75 -175.27 -0.48 -12.57 16 13 C 0.10 1.88 9.35 59.84 0.56 2.44 16 14 C 0.51 10.21 6.93 -10.98 -0.08 10.13 16 15 O -0.58 -12.72 15.64 5.56 0.09 -12.63 16 16 C -0.10 -1.68 1.62 -91.73 -0.15 -1.83 16 17 C -0.11 -1.66 4.69 -26.61 -0.12 -1.79 16 18 C 0.13 1.69 6.43 -3.71 -0.02 1.67 16 19 N -0.59 -8.49 2.98 -178.53 -0.53 -9.03 16 20 C 0.65 9.91 7.74 54.05 0.42 10.32 16 21 O -0.58 -9.40 11.29 -19.28 -0.22 -9.62 16 22 O -0.36 -5.04 8.53 -40.30 -0.34 -5.38 16 23 C 0.14 1.53 1.13 -90.62 -0.10 1.43 16 24 C -0.18 -1.94 8.37 37.16 0.31 -1.63 16 25 C -0.14 -1.24 8.85 37.16 0.33 -0.91 16 26 C -0.18 -2.03 8.37 37.16 0.31 -1.72 16 27 C 0.12 1.64 6.44 -3.69 -0.02 1.61 16 28 C -0.13 -2.11 4.97 -26.61 -0.13 -2.25 16 29 H 0.09 2.23 6.07 -51.93 -0.32 1.91 16 30 H 0.01 0.24 8.14 -51.93 -0.42 -0.19 16 31 H 0.03 0.69 6.93 -51.93 -0.36 0.33 16 32 H 0.26 6.33 8.31 -40.82 -0.34 5.99 16 33 H 0.04 0.83 8.14 -51.93 -0.42 0.40 16 34 H 0.07 1.30 6.76 -51.93 -0.35 0.94 16 35 H 0.05 1.00 7.53 -51.93 -0.39 0.61 16 36 H 0.10 1.56 7.14 -51.93 -0.37 1.19 16 37 H 0.08 1.14 8.14 -51.93 -0.42 0.72 16 38 H 0.07 1.22 8.03 -51.93 -0.42 0.80 16 39 H 0.10 1.27 7.00 -51.93 -0.36 0.91 16 40 H 0.07 0.85 8.14 -51.93 -0.42 0.42 16 41 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 42 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 43 H 0.09 1.13 5.88 -51.93 -0.31 0.83 16 44 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 45 H 0.08 0.53 8.14 -51.93 -0.42 0.10 16 46 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 47 H 0.09 1.18 5.88 -51.93 -0.31 0.87 16 48 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 49 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 50 H 0.08 1.06 8.14 -51.92 -0.42 0.64 16 51 H 0.09 1.29 6.94 -51.93 -0.36 0.93 16 52 H 0.11 2.08 5.84 -51.93 -0.30 1.78 16 53 H 0.06 1.10 8.14 -51.93 -0.42 0.68 16 LS Contribution 402.38 15.07 6.06 6.06 Total: -1.00 -27.77 402.38 -7.77 -35.54 By element: Atomic # 1 Polarization: 15.25 SS G_CDS: -9.10 Total: 6.16 kcal Atomic # 6 Polarization: 7.36 SS G_CDS: 1.15 Total: 8.50 kcal Atomic # 7 Polarization: -42.58 SS G_CDS: -0.39 Total: -42.97 kcal Atomic # 8 Polarization: -27.16 SS G_CDS: -0.47 Total: -27.64 kcal Atomic # 14 Polarization: 19.36 SS G_CDS: -5.02 Total: 14.34 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -27.77 -7.77 -35.54 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. ZINC000491171429.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 -87.462 kcal (2) G-P(sol) polarization free energy of solvation -27.772 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -115.234 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.769 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.541 kcal (6) G-S(sol) free energy of system = (1) + (5) -123.003 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.66 seconds