Wall clock time and date at job start Wed Apr 1 2020 00:28:42 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 1.52996 * 1 3 3 H 1.08992 * 109.52383 * 2 1 4 4 C 1.53195 * 109.49786 * 120.08323 * 2 1 3 5 5 N 1.46919 * 108.77812 * 174.58712 * 4 2 1 6 6 C 1.34777 * 120.63445 * 126.36481 * 5 4 2 7 7 O 1.21288 * 119.99376 * 0.02562 * 6 5 4 8 8 C 1.50692 * 120.00382 * 180.02562 * 6 5 4 9 9 C 1.53005 * 109.47253 * 180.02562 * 8 6 5 10 10 O 1.42898 * 109.47205 * 180.02562 * 9 8 6 11 11 C 1.42900 * 114.00210 * 180.02562 * 10 9 8 12 12 C 1.53177 * 109.54574 * 149.99994 * 11 10 9 13 13 C 1.53098 * 109.21356 * 176.87662 * 12 11 10 14 14 O 1.42899 * 109.41440 * 302.35638 * 13 12 11 15 15 C 1.42904 * 114.09711 * 61.16120 * 14 13 12 16 16 C 1.53100 * 109.41581 * 298.84173 * 15 14 13 17 17 C 1.46924 * 118.73696 * 306.64225 * 5 4 2 18 18 C 1.52765 * 109.00994 * 53.31125 * 17 5 4 19 19 C 1.53038 * 109.38057 * 305.58507 * 18 17 5 20 20 H 1.08994 * 109.46154 * 181.25574 * 19 18 17 21 21 N 1.46501 * 109.45292 * 301.22902 * 19 18 17 22 22 C 1.36934 * 120.00103 * 275.06433 * 21 19 18 23 23 H 1.08007 * 119.99856 * 359.97438 * 22 21 19 24 24 C 1.38808 * 120.00399 * 179.97438 * 22 21 19 25 25 N 1.31621 * 119.99749 * 0.02562 * 24 22 21 26 26 Si 1.86797 * 120.00149 * 179.97438 * 24 22 21 27 27 H 1.48509 * 109.46873 * 90.00172 * 26 24 22 28 28 H 1.48499 * 109.47474 * 210.00307 * 26 24 22 29 29 H 1.48496 * 109.47418 * 330.00420 * 26 24 22 30 30 H 1.09000 * 109.47425 * 299.92062 * 1 2 3 31 31 H 1.08994 * 109.47178 * 59.92074 * 1 2 3 32 32 H 1.09005 * 109.47051 * 179.91720 * 1 2 3 33 33 H 1.09004 * 109.58769 * 54.79473 * 4 2 1 34 34 H 1.09007 * 109.70139 * 294.44216 * 4 2 1 35 35 H 1.08998 * 109.47481 * 60.00178 * 8 6 5 36 36 H 1.09000 * 109.47327 * 300.00511 * 8 6 5 37 37 H 1.09000 * 109.47243 * 60.00002 * 9 8 6 38 38 H 1.08998 * 109.47036 * 299.99909 * 9 8 6 39 39 H 1.09002 * 109.61649 * 29.77192 * 11 10 9 40 40 H 1.09002 * 109.52487 * 56.93873 * 12 11 10 41 41 H 1.09004 * 109.52023 * 296.81493 * 12 11 10 42 42 H 1.08999 * 109.47859 * 62.34349 * 13 12 11 43 43 H 1.08997 * 109.47984 * 182.36161 * 13 12 11 44 44 H 1.09002 * 109.48461 * 58.81736 * 15 14 13 45 45 H 1.08999 * 109.48109 * 178.84665 * 15 14 13 46 46 H 1.08992 * 109.52355 * 177.51674 * 16 15 14 47 47 H 1.08999 * 109.51737 * 297.64019 * 16 15 14 48 48 H 1.09007 * 109.58420 * 173.14321 * 17 5 4 49 49 H 1.09000 * 109.59193 * 293.56573 * 17 5 4 50 50 H 1.09002 * 109.56161 * 185.55217 * 18 17 5 51 51 H 1.09002 * 109.35887 * 65.49735 * 18 17 5 52 52 H 0.97003 * 120.00121 * 95.05667 * 21 19 18 53 53 H 0.96998 * 119.99662 * 179.97438 * 25 24 22 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 1 1.8942 1.0273 0.0000 4 6 2.0413 -0.7239 1.2496 5 7 3.5045 -0.8292 1.1696 6 6 4.2811 -0.3857 2.1779 7 8 3.7730 0.1057 3.1636 8 6 5.7805 -0.5002 2.0807 9 6 6.4190 0.0720 3.3480 10 8 7.8409 -0.0361 3.2556 11 6 8.5377 0.4721 4.3949 12 6 9.8484 -0.2989 4.5799 13 6 10.6251 0.3023 5.7543 14 8 10.8627 1.6894 5.5062 15 6 9.6734 2.4703 5.3723 16 6 8.8583 1.9562 4.1826 17 6 4.1054 -1.4216 -0.0331 18 6 3.5708 -0.6950 -1.2660 19 6 2.0408 -0.7231 -1.2484 20 1 1.6582 -0.2244 -2.1388 21 7 1.5785 -2.1132 -1.2307 22 6 1.4484 -2.8065 -2.4043 23 1 1.6862 -2.3283 -3.3432 24 6 1.0109 -4.1237 -2.3876 25 7 0.7207 -4.7062 -1.2435 26 14 0.8328 -5.0691 -3.9887 27 1 2.1106 -5.7583 -4.3014 28 1 -0.2514 -6.0746 -3.8520 29 1 0.4977 -4.1262 -5.0858 30 1 -0.3634 0.5126 0.8907 31 1 -0.3633 0.5150 -0.8892 32 1 -0.3633 -1.0277 -0.0015 33 1 1.6052 -1.7217 1.2980 34 1 1.7637 -0.1601 2.1403 35 1 6.1321 0.0576 1.2128 36 1 6.0588 -1.5488 1.9757 37 1 6.0675 -0.4862 4.2158 38 1 6.1408 1.1206 3.4534 39 1 7.9182 0.3567 5.2843 40 1 10.4462 -0.2244 3.6715 41 1 9.6287 -1.3464 4.7865 42 1 10.0439 0.1910 6.6696 43 1 11.5778 -0.2160 5.8634 44 1 9.0796 2.3873 6.2826 45 1 9.9405 3.5139 5.2063 46 1 7.9298 2.5217 4.1056 47 1 9.4357 2.0773 3.2661 48 1 5.1895 -1.3160 0.0101 49 1 3.8412 -2.4775 -0.0915 50 1 3.9335 -1.1897 -2.1670 51 1 3.9159 0.3389 -1.2540 52 1 1.3647 -2.5425 -0.3875 53 1 0.4146 -5.6265 -1.2319 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 ZINC001271450541.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:28:42 Heat of formation + Delta-G solvation = -129.187261 kcal Electronic energy + Delta-G solvation = -30559.674312 eV Core-core repulsion = 26431.110074 eV Total energy + Delta-G solvation = -4128.564239 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -40.20681 -39.85584 -38.05878 -37.45527 -34.31317 -33.35206 -32.83005 -31.53761 -31.48283 -30.96619 -29.20690 -26.55370 -25.27343 -24.63089 -24.03811 -23.52785 -22.98951 -21.67430 -20.78554 -19.45050 -18.20007 -17.57785 -17.34297 -16.77896 -16.51890 -16.18804 -15.89126 -15.63755 -15.23808 -15.05091 -14.63138 -14.37967 -14.25639 -14.01470 -13.95033 -13.55170 -13.28506 -13.21484 -13.03490 -12.72660 -12.55305 -12.27079 -12.12435 -11.94669 -11.73701 -11.51724 -11.42975 -11.29145 -11.19495 -11.06810 -10.92985 -10.81411 -10.74726 -10.51621 -10.47858 -10.21131 -10.08822 -9.86814 -9.72458 -9.61862 -9.57177 -8.95692 -8.26238 -7.00768 -5.81906 -3.10449 2.76877 2.94247 3.39413 3.44010 3.45527 3.46803 3.60290 4.34212 4.39573 4.54890 4.55429 4.66060 4.68173 4.79242 4.87642 4.91458 5.00706 5.12149 5.17393 5.24941 5.26287 5.29987 5.34097 5.39660 5.42824 5.52755 5.57019 5.59961 5.64589 5.67811 5.71208 5.77162 5.80368 5.85085 5.91115 6.03949 6.07179 6.22487 6.29751 6.38538 6.47738 6.60177 6.66270 6.73852 6.75814 6.90641 6.96818 6.98117 7.65872 7.67394 8.32337 8.36609 9.48262 10.04763 10.39849 11.40451 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019265 B = 0.002045 C = 0.001935 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1453.077479 B =13690.756930 C =14470.222678 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.137 4.137 2 C -0.108 4.108 3 H 0.065 0.935 4 C 0.119 3.881 5 N -0.598 5.598 6 C 0.517 3.483 7 O -0.559 6.559 8 C -0.138 4.138 9 C 0.079 3.921 10 O -0.381 6.381 11 C 0.091 3.909 12 C -0.154 4.154 13 C 0.064 3.936 14 O -0.383 6.383 15 C 0.063 3.937 16 C -0.180 4.180 17 C 0.111 3.889 18 C -0.150 4.150 19 C 0.178 3.822 20 H 0.051 0.949 21 N -0.718 5.718 22 C -0.237 4.237 23 H 0.070 0.930 24 C -0.012 4.012 25 N -0.932 5.932 26 Si 0.905 3.095 27 H -0.291 1.291 28 H -0.293 1.293 29 H -0.283 1.283 30 H 0.043 0.957 31 H 0.053 0.947 32 H 0.071 0.929 33 H 0.076 0.924 34 H 0.083 0.917 35 H 0.100 0.900 36 H 0.101 0.899 37 H 0.057 0.943 38 H 0.056 0.944 39 H 0.062 0.938 40 H 0.082 0.918 41 H 0.081 0.919 42 H 0.052 0.948 43 H 0.100 0.900 44 H 0.051 0.949 45 H 0.097 0.903 46 H 0.076 0.924 47 H 0.081 0.919 48 H 0.072 0.928 49 H 0.086 0.914 50 H 0.075 0.925 51 H 0.048 0.952 52 H 0.384 0.616 53 H 0.255 0.745 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 15.662 12.302 11.717 23.107 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 -0.195 4.195 2 C -0.128 4.128 3 H 0.083 0.917 4 C -0.004 4.004 5 N -0.330 5.330 6 C 0.305 3.695 7 O -0.438 6.438 8 C -0.178 4.178 9 C 0.003 3.997 10 O -0.301 6.301 11 C 0.033 3.967 12 C -0.192 4.192 13 C -0.013 4.013 14 O -0.302 6.302 15 C -0.013 4.013 16 C -0.218 4.218 17 C -0.011 4.011 18 C -0.191 4.191 19 C 0.067 3.933 20 H 0.069 0.931 21 N -0.361 5.361 22 C -0.369 4.369 23 H 0.088 0.912 24 C -0.208 4.208 25 N -0.580 5.580 26 Si 0.736 3.264 27 H -0.218 1.218 28 H -0.219 1.219 29 H -0.209 1.209 30 H 0.062 0.938 31 H 0.072 0.928 32 H 0.090 0.910 33 H 0.094 0.906 34 H 0.102 0.898 35 H 0.119 0.881 36 H 0.120 0.880 37 H 0.076 0.924 38 H 0.074 0.926 39 H 0.080 0.920 40 H 0.100 0.900 41 H 0.100 0.900 42 H 0.070 0.930 43 H 0.118 0.882 44 H 0.070 0.930 45 H 0.115 0.885 46 H 0.095 0.905 47 H 0.100 0.900 48 H 0.090 0.910 49 H 0.104 0.896 50 H 0.094 0.906 51 H 0.067 0.933 52 H 0.219 0.781 53 H 0.065 0.935 Dipole moment (debyes) X Y Z Total from point charges 15.628 12.470 11.872 23.253 hybrid contribution -0.630 -0.865 -0.664 1.259 sum 14.998 11.605 11.208 22.028 Atomic orbital electron populations 1.21666 0.94217 1.03210 1.00427 1.21698 0.96521 0.98807 0.95767 0.91679 1.21656 0.78532 1.01602 0.98577 1.48109 1.07192 1.59598 1.18081 1.20273 0.88778 0.77745 0.82694 1.90663 1.75753 1.46026 1.31390 1.21480 0.92145 1.04440 0.99720 1.22180 0.79764 1.00507 0.97299 1.87865 1.18214 1.82944 1.41028 1.22067 0.93169 0.92532 0.88925 1.22307 0.95824 1.00468 1.00588 1.22587 1.00757 0.81976 0.95994 1.87942 1.30510 1.19182 1.92532 1.22566 0.86488 0.95689 0.96594 1.22766 1.01524 0.96916 1.00576 1.21694 0.96522 0.99211 0.83661 1.22454 1.00514 0.98674 0.97505 1.20220 0.90788 0.87386 0.94860 0.93102 1.42478 1.78984 1.07680 1.06953 1.19215 1.37233 0.93846 0.86577 0.91247 1.24710 1.02269 0.97210 0.96626 1.69649 1.51681 1.13048 1.23672 0.86230 0.77279 0.79817 0.83068 1.21822 1.21892 1.20862 0.93783 0.92800 0.91015 0.90627 0.89829 0.88146 0.88046 0.92444 0.92569 0.91957 0.89977 0.90047 0.92984 0.88224 0.93035 0.88462 0.90517 0.90001 0.91006 0.89587 0.90628 0.93332 0.78099 0.93523 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 -0.14 -2.18 9.06 37.16 0.34 -1.85 16 2 C -0.11 -1.74 2.67 -90.50 -0.24 -1.98 16 3 H 0.06 0.99 8.14 -51.93 -0.42 0.57 16 4 C 0.12 1.98 5.42 -3.71 -0.02 1.96 16 5 N -0.60 -9.42 2.98 -173.03 -0.52 -9.94 16 6 C 0.52 7.93 7.70 -10.99 -0.08 7.84 16 7 O -0.56 -10.07 15.39 5.55 0.09 -9.99 16 8 C -0.14 -1.65 4.42 -27.88 -0.12 -1.78 16 9 C 0.08 0.92 5.05 37.16 0.19 1.11 16 10 O -0.38 -4.29 10.00 -35.23 -0.35 -4.64 16 11 C 0.09 0.83 2.70 -26.48 -0.07 0.76 16 12 C -0.15 -1.21 5.79 -26.59 -0.15 -1.37 16 13 C 0.06 0.44 6.84 37.21 0.25 0.70 16 14 O -0.38 -3.42 10.77 -35.23 -0.38 -3.80 16 15 C 0.06 0.46 6.84 37.21 0.25 0.72 16 16 C -0.18 -1.47 5.77 -26.52 -0.15 -1.63 16 17 C 0.11 1.71 6.06 -3.93 -0.02 1.68 16 18 C -0.15 -2.40 5.76 -26.83 -0.15 -2.55 16 19 C 0.18 3.24 2.53 -67.89 -0.17 3.07 16 20 H 0.05 0.97 8.08 -51.93 -0.42 0.55 16 21 N -0.72 -16.22 3.64 -53.38 -0.19 -16.41 16 22 C -0.24 -6.11 9.93 -15.06 -0.15 -6.26 16 23 H 0.07 1.75 7.83 -52.48 -0.41 1.34 16 24 C -0.01 -0.33 5.50 -17.43 -0.10 -0.42 16 25 N -0.93 -26.81 13.06 55.49 0.72 -26.08 16 26 Si 0.90 21.59 29.55 -169.99 -5.02 16.57 16 27 H -0.29 -6.95 7.11 56.52 0.40 -6.54 16 28 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 29 H -0.28 -6.61 7.11 56.52 0.40 -6.20 16 30 H 0.04 0.61 8.14 -51.93 -0.42 0.19 16 31 H 0.05 0.82 8.14 -51.93 -0.42 0.40 16 32 H 0.07 1.32 7.53 -51.93 -0.39 0.93 16 33 H 0.08 1.40 6.64 -51.93 -0.34 1.06 16 34 H 0.08 1.40 7.00 -51.93 -0.36 1.04 16 35 H 0.10 1.09 7.68 -51.93 -0.40 0.69 16 36 H 0.10 1.14 7.95 -51.93 -0.41 0.73 16 37 H 0.06 0.69 8.05 -51.93 -0.42 0.27 16 38 H 0.06 0.66 7.96 -51.93 -0.41 0.25 16 39 H 0.06 0.53 7.79 -51.93 -0.40 0.13 16 40 H 0.08 0.71 8.14 -51.93 -0.42 0.28 16 41 H 0.08 0.59 8.14 -51.93 -0.42 0.17 16 42 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 43 H 0.10 0.54 8.14 -51.93 -0.42 0.12 16 44 H 0.05 0.33 8.14 -51.93 -0.42 -0.10 16 45 H 0.10 0.58 8.14 -51.93 -0.42 0.16 16 46 H 0.08 0.60 8.01 -51.93 -0.42 0.19 16 47 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 48 H 0.07 0.90 5.93 -51.93 -0.31 0.59 16 49 H 0.09 1.57 7.74 -51.93 -0.40 1.17 16 50 H 0.08 1.27 8.14 -51.93 -0.42 0.85 16 51 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 52 H 0.38 9.32 5.92 -40.82 -0.24 9.08 16 53 H 0.25 7.20 8.31 -40.82 -0.34 6.86 16 LS Contribution 408.88 15.07 6.16 6.16 Total: -1.00 -30.20 408.88 -9.46 -39.66 By element: Atomic # 1 Polarization: 18.03 SS G_CDS: -9.55 Total: 8.48 kcal Atomic # 6 Polarization: 0.41 SS G_CDS: -0.41 Total: 0.00 kcal Atomic # 7 Polarization: -52.45 SS G_CDS: 0.01 Total: -52.44 kcal Atomic # 8 Polarization: -17.78 SS G_CDS: -0.65 Total: -18.43 kcal Atomic # 14 Polarization: 21.59 SS G_CDS: -5.02 Total: 16.57 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -30.20 -9.46 -39.66 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. ZINC001271450541.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 -89.529 kcal (2) G-P(sol) polarization free energy of solvation -30.201 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.730 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.457 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.658 kcal (6) G-S(sol) free energy of system = (1) + (5) -129.187 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.05 seconds