Wall clock time and date at job start Tue Mar 9 2021 13:57:46 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 * 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 1.52992 * 1 3 3 C 1.52999 * 109.47470 * 2 1 4 4 C 1.53002 * 109.47407 * 239.99997 * 2 1 3 5 5 Si 1.86304 * 109.47059 * 119.99657 * 2 1 3 6 6 C 1.86297 * 109.47195 * 300.00040 * 5 2 1 7 7 C 1.86303 * 109.47198 * 179.97438 * 5 2 1 8 8 O 1.63104 * 109.46797 * 60.00350 * 5 2 1 9 9 C 1.42900 * 113.99954 * 180.02562 * 8 5 2 10 10 C 1.53002 * 109.47241 * 179.97438 * 9 8 5 11 11 C 1.52995 * 109.46845 * 180.02562 * 10 9 8 12 12 O 1.42905 * 109.46827 * 180.02562 * 11 10 9 13 13 C 1.35975 * 116.99959 * 179.97438 * 12 11 10 14 14 C 1.38655 * 119.98638 * 359.96207 * 13 12 11 15 15 C 1.38536 * 119.98858 * 179.97438 * 14 13 12 16 16 C 1.39258 * 119.87757 * 0.06070 * 15 14 13 17 17 C 1.38525 * 119.92298 * 359.97435 * 16 15 14 18 18 C 1.38218 * 120.09921 * 0.02562 * 17 16 15 19 19 C 1.50703 * 119.95787 * 179.97438 * 18 17 16 20 20 O 1.42900 * 109.47120 * 255.00215 * 19 18 17 21 21 Si 1.86300 * 109.47062 * 15.00141 * 19 18 17 22 22 H 1.48503 * 109.46984 * 60.00093 * 21 19 18 23 23 H 1.48502 * 109.46941 * 179.97438 * 21 19 18 24 24 H 1.48498 * 109.47122 * 299.99723 * 21 19 18 25 25 O 1.36606 * 108.61776 * 179.97438 * 16 15 14 26 26 C 1.43984 * 105.46886 * 17.29183 * 25 16 15 27 27 O 1.36500 * 131.47166 * 180.02562 * 15 14 13 28 28 H 1.08999 * 109.47184 * 300.00252 * 1 2 3 29 29 H 1.09012 * 109.47102 * 59.99870 * 1 2 3 30 30 H 1.08998 * 109.47404 * 179.97438 * 1 2 3 31 31 H 1.08995 * 109.47902 * 179.97438 * 3 2 1 32 32 H 1.09003 * 109.47554 * 299.99857 * 3 2 1 33 33 H 1.08999 * 109.47123 * 59.99711 * 3 2 1 34 34 H 1.09007 * 109.46639 * 300.00213 * 4 2 1 35 35 H 1.08995 * 109.46906 * 60.00233 * 4 2 1 36 36 H 1.09002 * 109.47129 * 180.02562 * 4 2 1 37 37 H 1.09000 * 109.47186 * 179.97438 * 6 5 2 38 38 H 1.08998 * 109.47252 * 299.99573 * 6 5 2 39 39 H 1.09005 * 109.46937 * 60.00191 * 6 5 2 40 40 H 1.08999 * 109.47199 * 300.00186 * 7 5 2 41 41 H 1.08999 * 109.46725 * 60.00455 * 7 5 2 42 42 H 1.09000 * 109.47081 * 180.02562 * 7 5 2 43 43 H 1.09003 * 109.47116 * 59.99708 * 9 8 5 44 44 H 1.09002 * 109.46969 * 300.00101 * 9 8 5 45 45 H 1.08990 * 109.47068 * 59.99666 * 10 9 8 46 46 H 1.08998 * 109.46658 * 299.99960 * 10 9 8 47 47 H 1.08990 * 109.47757 * 59.99847 * 11 10 9 48 48 H 1.08998 * 109.47263 * 299.99348 * 11 10 9 49 49 H 1.07991 * 120.00406 * 0.02562 * 14 13 12 50 50 H 1.07997 * 119.95067 * 179.97438 * 17 16 15 51 51 H 1.09001 * 109.46781 * 135.00148 * 19 18 17 52 52 H 0.96698 * 113.99887 * 60.00125 * 20 19 18 53 53 H 1.09002 * 110.57822 * 214.30037 * 26 25 16 54 54 H 1.09003 * 110.56828 * 91.42630 * 26 25 16 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7212 -1.2492 5 14 2.1509 -0.8782 1.5212 6 6 1.5299 0.0001 3.0423 7 6 4.0140 -0.8789 1.5209 8 8 1.6073 -2.4159 1.5212 9 6 2.0284 -3.1813 2.6521 10 6 1.4626 -4.5990 2.5477 11 6 1.9130 -5.4182 3.7588 12 8 1.3850 -6.7426 3.6611 13 6 1.6939 -7.6059 4.6651 14 6 2.4890 -7.1856 5.7205 15 6 2.8033 -8.0651 6.7437 16 6 2.3205 -9.3708 6.7090 17 6 1.5271 -9.7863 5.6522 18 6 1.2148 -8.9071 4.6324 19 6 0.3519 -9.3627 3.4839 20 8 1.1664 -9.5659 2.3275 21 14 -0.4925 -10.9603 3.9373 22 1 -1.3390 -10.7491 5.1390 23 1 -1.3433 -11.4089 2.8058 24 1 0.5311 -11.9959 4.2285 25 8 2.7663 -10.0303 7.8191 26 6 3.1853 -9.0012 8.7348 27 8 3.5513 -7.9061 7.8744 28 1 -0.3633 0.5139 0.8899 29 1 -0.3634 0.5139 -0.8901 30 1 -0.3634 -1.0276 -0.0005 31 1 3.1300 1.4425 0.0005 32 1 1.6768 1.9564 -0.8900 33 1 1.6767 1.9563 0.8899 34 1 1.6766 -1.7490 -1.2492 35 1 1.6767 -0.2074 -2.1392 36 1 3.1300 -0.7216 -1.2490 37 1 1.8929 -0.5139 3.9323 38 1 1.8933 1.0278 3.0423 39 1 0.4399 0.0001 3.0423 40 1 4.3769 -1.3930 0.6309 41 1 4.3776 0.1487 1.5207 42 1 4.3773 -1.3930 2.4107 43 1 1.6635 -2.7111 3.5653 44 1 3.1173 -3.2251 2.6760 45 1 1.8270 -5.0693 1.6346 46 1 0.3738 -4.5548 2.5240 47 1 1.5482 -4.9478 4.6718 48 1 3.0018 -5.4625 3.7830 49 1 2.8625 -6.1726 5.7451 50 1 1.1527 -10.7989 5.6246 51 1 -0.3995 -8.6025 3.2702 52 1 1.8584 -10.2309 2.4458 53 1 4.0442 -9.3336 9.3179 54 1 2.3634 -8.7146 9.3910 RHF calculation, no. of doubly occupied orbitals= 68 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) 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=0 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 s_7_1880786_18527724.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 13:57:46 Heat of formation + Delta-G solvation = -206.824109 kcal Electronic energy + Delta-G solvation = -31915.401644 eV Core-core repulsion = 27556.101781 eV Total energy + Delta-G solvation = -4359.299863 eV No. of doubly occupied orbitals = 68 Molecular weight (most abundant/longest-lived isotopes) = 370.186 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -43.23689 -41.01710 -38.76000 -38.08015 -37.28434 -36.93470 -36.85588 -33.56130 -32.28490 -30.48995 -29.47123 -29.12597 -27.88884 -27.46206 -27.40841 -26.91061 -25.89071 -23.94685 -23.22365 -22.33305 -20.45272 -19.83658 -19.17557 -18.68294 -18.18522 -17.65038 -17.57332 -17.22091 -16.69511 -16.31172 -16.12992 -16.03000 -15.89602 -15.49387 -15.43913 -15.16246 -15.01319 -14.89541 -14.76085 -14.51128 -14.17352 -14.05737 -13.98627 -13.85830 -13.65318 -13.47669 -13.34768 -13.22397 -13.02007 -12.94928 -12.93757 -12.86906 -12.43235 -12.42285 -12.24019 -12.14708 -11.99732 -11.76708 -11.72714 -11.70792 -11.48592 -11.36940 -11.19002 -10.40848 -10.34791 -10.10119 -9.95464 -8.80053 -0.07672 0.12001 1.16641 1.30646 1.43140 1.53768 1.64937 1.70414 1.93418 2.01098 2.06456 2.35973 2.38368 2.46424 3.32782 3.50889 3.61652 3.74309 3.77610 3.81305 3.84768 3.92957 3.99506 4.07286 4.09879 4.10616 4.17591 4.20513 4.28060 4.31649 4.44615 4.45778 4.62435 4.65904 4.67205 4.68275 4.68764 4.79138 4.83956 4.86186 4.92477 4.98153 4.98600 5.01536 5.06597 5.08950 5.09031 5.18441 5.19922 5.31993 5.39566 5.40006 5.48764 5.51428 5.56282 5.92387 6.27511 6.64079 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C -0.375 4.375 3 C -0.137 4.137 4 C -0.134 4.134 5 Si 1.288 2.712 6 C -0.512 4.512 7 C -0.512 4.512 8 O -0.623 6.623 9 C 0.090 3.910 10 C -0.122 4.122 11 C 0.053 3.947 12 O -0.289 6.289 13 C 0.175 3.825 14 C -0.194 4.194 15 C 0.083 3.917 16 C -0.002 4.002 17 C -0.068 4.068 18 C -0.148 4.148 19 C -0.062 4.062 20 O -0.531 6.531 21 Si 0.943 3.057 22 H -0.248 1.248 23 H -0.250 1.250 24 H -0.251 1.251 25 O -0.306 6.306 26 C 0.213 3.787 27 O -0.306 6.306 28 H 0.054 0.946 29 H 0.053 0.947 30 H 0.060 0.940 31 H 0.056 0.944 32 H 0.056 0.944 33 H 0.056 0.944 34 H 0.060 0.940 35 H 0.053 0.947 36 H 0.054 0.946 37 H 0.066 0.934 38 H 0.074 0.926 39 H 0.073 0.927 40 H 0.073 0.927 41 H 0.074 0.926 42 H 0.066 0.934 43 H 0.058 0.942 44 H 0.058 0.942 45 H 0.088 0.912 46 H 0.086 0.914 47 H 0.067 0.933 48 H 0.068 0.932 49 H 0.145 0.855 50 H 0.143 0.857 51 H 0.122 0.878 52 H 0.374 0.626 53 H 0.135 0.865 54 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.401 1.182 2.255 2.578 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 -0.191 4.191 2 C -0.418 4.418 3 C -0.194 4.194 4 C -0.192 4.192 5 Si 1.419 2.581 6 C -0.613 4.613 7 C -0.614 4.614 8 O -0.582 6.582 9 C 0.014 3.986 10 C -0.160 4.160 11 C -0.022 4.022 12 O -0.201 6.201 13 C 0.128 3.872 14 C -0.213 4.213 15 C 0.038 3.962 16 C -0.046 4.046 17 C -0.087 4.087 18 C -0.149 4.149 19 C -0.172 4.172 20 O -0.335 6.335 21 Si 0.766 3.234 22 H -0.171 1.171 23 H -0.173 1.173 24 H -0.175 1.175 25 O -0.223 6.223 26 C 0.102 3.898 27 O -0.222 6.222 28 H 0.073 0.927 29 H 0.072 0.928 30 H 0.079 0.921 31 H 0.075 0.925 32 H 0.075 0.925 33 H 0.075 0.925 34 H 0.079 0.921 35 H 0.072 0.928 36 H 0.073 0.927 37 H 0.085 0.915 38 H 0.093 0.907 39 H 0.092 0.908 40 H 0.092 0.908 41 H 0.093 0.907 42 H 0.085 0.915 43 H 0.076 0.924 44 H 0.076 0.924 45 H 0.107 0.893 46 H 0.105 0.895 47 H 0.085 0.915 48 H 0.086 0.914 49 H 0.162 0.838 50 H 0.160 0.840 51 H 0.140 0.860 52 H 0.220 0.780 53 H 0.152 0.848 54 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges -0.504 0.591 2.036 2.180 hybrid contribution 1.178 0.708 0.863 1.623 sum 0.674 1.299 2.900 3.248 Atomic orbital electron populations 1.21514 0.93783 1.02056 1.01790 1.25782 1.00717 1.02617 1.12719 1.21556 1.00767 0.94916 1.02153 1.21516 1.00597 1.00296 0.96745 0.76700 0.62998 0.53345 0.65008 1.27039 1.07059 1.09520 1.17718 1.27040 1.25067 1.04758 1.04486 1.85334 1.79331 1.46052 1.47458 1.21801 0.98130 0.91558 0.87137 1.21503 1.03424 0.93052 0.98003 1.22801 0.98871 0.80849 0.99684 1.86204 1.70228 1.21612 1.42074 1.18141 0.93113 0.89400 0.86552 1.20064 1.05705 1.00678 0.94886 1.19455 0.93016 0.93641 0.90096 1.19479 1.02129 0.90341 0.92666 1.19788 0.96831 1.00445 0.91611 1.19315 1.05246 0.91646 0.98691 1.24750 0.96360 1.10445 0.85692 1.86576 1.48996 1.63747 1.34228 0.85824 0.80324 0.76346 0.80941 1.17106 1.17314 1.17483 1.87412 1.78812 1.30798 1.25237 1.25704 1.00665 0.74584 0.88887 1.87392 1.59620 1.48928 1.26223 0.92720 0.92782 0.92104 0.92524 0.92481 0.92537 0.92094 0.92775 0.92708 0.91517 0.90683 0.90825 0.90805 0.90692 0.91512 0.92423 0.92382 0.89336 0.89499 0.91464 0.91404 0.83778 0.83958 0.86044 0.77976 0.84776 0.89503 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.13 0.01 7.85 37.15 0.29 0.30 16 2 C -0.37 0.17 0.53 -90.62 -0.05 0.12 16 3 C -0.14 0.10 7.85 37.16 0.29 0.40 16 4 C -0.13 0.00 7.85 37.16 0.29 0.29 16 5 Si 1.29 -1.78 8.45 -169.99 -1.44 -3.22 16 6 C -0.51 0.58 8.50 101.05 0.86 1.44 16 7 C -0.51 0.53 8.50 101.05 0.86 1.39 16 8 O -0.62 0.09 8.56 -35.23 -0.30 -0.21 16 9 C 0.09 -0.15 5.12 37.16 0.19 0.04 16 10 C -0.12 0.14 5.95 -26.73 -0.16 -0.02 16 11 C 0.05 -0.07 4.74 37.15 0.18 0.10 16 12 O -0.29 -0.34 9.46 -19.66 -0.19 -0.52 16 13 C 0.17 0.24 6.66 -39.26 -0.26 -0.02 16 14 C -0.19 -0.21 9.05 -39.32 -0.36 -0.57 16 15 C 0.08 0.19 7.15 -39.09 -0.28 -0.09 16 16 C 0.00 0.00 7.15 -39.10 -0.28 -0.28 16 17 C -0.07 -0.09 8.67 -39.48 -0.34 -0.43 16 18 C -0.15 -0.16 5.27 -104.46 -0.55 -0.71 16 19 C -0.06 -0.01 2.37 36.01 0.09 0.08 16 20 O -0.53 -0.47 12.88 -35.23 -0.45 -0.92 16 21 Si 0.94 -0.41 25.49 -169.99 -4.33 -4.75 16 22 H -0.25 -0.04 7.11 56.52 0.40 0.36 16 23 H -0.25 -0.22 7.11 56.52 0.40 0.18 16 24 H -0.25 0.14 6.73 56.52 0.38 0.52 16 25 O -0.31 -0.71 11.41 -46.04 -0.53 -1.24 16 26 C 0.21 -0.11 8.89 101.05 0.90 0.79 16 27 O -0.31 -0.63 11.40 -45.69 -0.52 -1.15 16 28 H 0.05 -0.04 7.79 -51.93 -0.40 -0.44 16 29 H 0.05 0.01 8.14 -51.92 -0.42 -0.41 16 30 H 0.06 0.01 7.97 -51.93 -0.41 -0.40 16 31 H 0.06 -0.08 7.79 -51.93 -0.40 -0.48 16 32 H 0.06 -0.02 8.14 -51.93 -0.42 -0.44 16 33 H 0.06 -0.08 7.79 -51.93 -0.40 -0.48 16 34 H 0.06 0.02 7.97 -51.93 -0.41 -0.40 16 35 H 0.05 0.01 8.14 -51.93 -0.42 -0.41 16 36 H 0.05 -0.03 7.79 -51.93 -0.40 -0.44 16 37 H 0.07 -0.10 7.48 -51.93 -0.39 -0.49 16 38 H 0.07 -0.10 7.79 -51.93 -0.40 -0.50 16 39 H 0.07 -0.06 7.79 -51.93 -0.40 -0.46 16 40 H 0.07 -0.05 7.79 -51.93 -0.40 -0.45 16 41 H 0.07 -0.09 7.79 -51.93 -0.40 -0.50 16 42 H 0.07 -0.10 7.48 -51.93 -0.39 -0.49 16 43 H 0.06 -0.18 7.21 -51.93 -0.37 -0.56 16 44 H 0.06 -0.17 7.21 -51.93 -0.37 -0.55 16 45 H 0.09 -0.03 8.14 -51.93 -0.42 -0.45 16 46 H 0.09 -0.06 8.14 -51.93 -0.42 -0.48 16 47 H 0.07 -0.19 7.66 -51.93 -0.40 -0.59 16 48 H 0.07 -0.16 7.66 -51.93 -0.40 -0.56 16 49 H 0.14 -0.12 6.29 -52.49 -0.33 -0.45 16 50 H 0.14 -0.02 4.88 -52.49 -0.26 -0.27 16 51 H 0.12 -0.01 7.82 -51.93 -0.41 -0.42 16 52 H 0.37 -0.91 8.70 45.56 0.40 -0.51 16 53 H 0.13 -0.44 8.14 -51.93 -0.42 -0.86 16 54 H 0.09 -0.22 8.14 -51.93 -0.42 -0.64 16 LS Contribution 428.31 15.07 6.45 6.45 Total: 0.00 -6.42 428.31 -8.39 -14.81 By element: Atomic # 1 Polarization: -3.33 SS G_CDS: -8.76 Total: -12.09 kcal Atomic # 6 Polarization: 1.16 SS G_CDS: 1.67 Total: 2.83 kcal Atomic # 8 Polarization: -2.05 SS G_CDS: -1.99 Total: -4.04 kcal Atomic # 14 Polarization: -2.20 SS G_CDS: -5.77 Total: -7.97 kcal Total LS contribution 6.45 Total: 6.45 kcal Total: -6.42 -8.39 -14.81 kcal The number of atoms in the molecule is 54 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_7_1880786_18527724.mol2 54 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 -192.011 kcal (2) G-P(sol) polarization free energy of solvation -6.419 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -198.431 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.393 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -14.813 kcal (6) G-S(sol) free energy of system = (1) + (5) -206.824 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.06 seconds