Wall clock time and date at job start Tue Mar 31 2020 20:24:24 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 1.53000 * 1 3 3 C 1.52992 * 109.47172 * 2 1 4 4 H 1.09002 * 109.46962 * 57.49620 * 3 2 1 5 5 C 1.50704 * 109.47132 * 177.49333 * 3 2 1 6 6 H 1.08004 * 119.99946 * 116.66143 * 5 3 2 7 7 C 1.37873 * 120.00523 * 296.94137 * 5 3 2 8 8 N 1.31514 * 119.99414 * 359.72480 * 7 5 3 9 9 Si 1.86798 * 120.00607 * 179.72244 * 7 5 3 10 10 H 1.48507 * 109.46864 * 60.00006 * 9 7 5 11 11 H 1.48493 * 109.47477 * 179.97438 * 9 7 5 12 12 H 1.48504 * 109.46868 * 300.00185 * 9 7 5 13 13 N 1.46895 * 109.47412 * 297.49421 * 3 2 1 14 14 C 1.46653 * 111.00305 * 185.84710 * 13 3 2 15 15 C 1.53347 * 108.18058 * 186.45092 * 14 13 3 16 16 H 1.08993 * 109.70105 * 56.52180 * 15 14 13 17 17 C 1.50698 * 109.69468 * 177.08162 * 15 14 13 18 18 O 1.21277 * 120.00647 * 34.70438 * 17 15 14 19 19 N 1.34781 * 119.99678 * 214.70593 * 17 15 14 20 20 C 1.47020 * 125.64680 * 4.62764 * 19 17 15 21 21 C 1.54316 * 107.27464 * 180.97217 * 20 19 17 22 22 C 1.55153 * 102.86339 * 22.52431 * 21 20 19 23 23 C 1.47428 * 125.64728 * 184.93866 * 19 17 15 24 24 C 1.52739 * 108.29372 * 296.81532 * 15 14 13 25 25 C 1.53171 * 110.58552 * 60.02652 * 24 15 14 26 26 H 1.08996 * 111.53389 * 73.74725 * 25 24 15 27 27 O 1.44754 * 106.46023 * 196.86128 * 25 24 15 28 28 C 1.43408 * 109.51717 * 89.15592 * 27 25 24 29 29 C 1.54719 * 107.56084 * 4.21939 * 28 27 25 30 30 C 1.44596 * 111.00268 * 313.30022 * 13 3 2 31 31 H 1.08995 * 109.63118 * 57.77765 * 30 13 3 32 32 H 1.08999 * 109.47035 * 175.06311 * 1 2 3 33 33 H 1.09002 * 109.47069 * 295.06038 * 1 2 3 34 34 H 1.08999 * 109.47121 * 55.06340 * 1 2 3 35 35 H 1.09001 * 109.46839 * 240.00048 * 2 1 3 36 36 H 1.09003 * 109.47377 * 120.00801 * 2 1 3 37 37 H 0.97008 * 120.00089 * 180.02562 * 8 7 5 38 38 H 1.09007 * 109.72064 * 306.11641 * 14 13 3 39 39 H 1.08996 * 109.71899 * 66.73081 * 14 13 3 40 40 H 1.09001 * 109.88326 * 300.51124 * 20 19 17 41 41 H 1.08993 * 109.88257 * 61.68344 * 20 19 17 42 42 H 1.09005 * 110.92274 * 264.11601 * 21 20 19 43 43 H 1.09001 * 110.74900 * 140.85913 * 21 20 19 44 44 H 1.09007 * 111.00532 * 206.22971 * 22 21 20 45 45 H 1.09002 * 111.00300 * 82.38060 * 22 21 20 46 46 H 1.08999 * 110.36623 * 274.67427 * 23 19 17 47 47 H 1.09000 * 110.36465 * 36.88420 * 23 19 17 48 48 H 1.08999 * 109.25324 * 180.30919 * 24 15 14 49 49 H 1.08992 * 109.25821 * 299.74167 * 24 15 14 50 50 H 1.09004 * 109.83206 * 244.71860 * 28 27 25 51 51 H 1.09002 * 109.91758 * 123.77241 * 28 27 25 52 52 H 1.09000 * 111.01678 * 262.57576 * 29 28 27 53 53 H 1.09001 * 111.01255 * 138.69688 * 29 28 27 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 1.4424 0.0000 4 1 1.6404 1.9690 0.8667 5 6 3.5457 1.4429 0.0621 6 1 4.1199 1.8505 -0.7568 7 6 4.1906 0.9177 1.1618 8 7 3.4914 0.4212 2.1590 9 14 6.0571 0.9112 1.2354 10 1 6.5604 2.3061 1.1567 11 1 6.5000 0.2970 2.5128 12 1 6.5946 0.1259 0.0954 13 7 1.6004 2.1173 -1.2285 14 6 2.1855 3.4582 -1.3297 15 6 1.5621 4.1620 -2.5411 16 1 0.4772 4.1804 -2.4373 17 6 2.0872 5.5714 -2.6355 18 8 3.2301 5.8157 -2.3114 19 7 1.2868 6.5604 -3.0801 20 6 -0.1388 6.4246 -3.4131 21 6 -0.6293 7.8046 -3.8992 22 6 0.6821 8.4956 -4.3574 23 6 1.6972 7.9561 -3.3191 24 6 1.9460 3.3835 -3.7979 25 6 1.4269 1.9446 -3.7197 26 1 0.3482 1.8998 -3.8696 27 8 2.1574 1.1903 -4.7160 28 6 3.3579 0.6645 -4.1338 29 6 3.3442 1.0257 -2.6294 30 6 1.8417 1.2894 -2.3892 31 1 1.3248 0.3368 -2.2735 32 1 -0.3633 -1.0238 -0.0884 33 1 -0.3633 0.4353 0.9309 34 1 -0.3633 0.5885 -0.8425 35 1 1.8933 -0.5138 -0.8900 36 1 1.8934 -0.5140 0.8899 37 1 3.9450 0.0520 2.9329 38 1 1.9678 4.0238 -0.4236 39 1 3.2643 3.3796 -1.4640 40 1 -0.2660 5.6845 -4.2032 41 1 -0.6993 6.1249 -2.5277 42 1 -1.0944 8.3612 -3.0855 43 1 -1.3206 7.6963 -4.7350 44 1 0.5957 9.5803 -4.2921 45 1 0.9543 8.1870 -5.3668 46 1 1.6381 8.5323 -2.3957 47 1 2.7093 7.9900 -3.7224 48 1 1.5149 3.8742 -4.6704 49 1 3.0316 3.3691 -3.8942 50 1 4.2284 1.1121 -4.6137 51 1 3.3855 -0.4185 -4.2540 52 1 3.9340 1.9219 -2.4371 53 1 3.6962 0.1906 -2.0238 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 ZINC001255167561.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 20:24:24 Heat of formation + Delta-G solvation = -67.457769 kcal Electronic energy + Delta-G solvation = -32282.444478 eV Core-core repulsion = 28347.013082 eV Total energy + Delta-G solvation = -3935.431395 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.78 seconds Orbital eigenvalues (eV) -40.71753 -39.61240 -37.41170 -36.69397 -34.28083 -32.28074 -31.61825 -30.98033 -30.00638 -29.35623 -28.66182 -26.70077 -24.55595 -24.15593 -22.71983 -22.09412 -21.37722 -21.34835 -20.18264 -18.80286 -18.15873 -17.12874 -16.60812 -16.60375 -16.28239 -15.37831 -15.16049 -14.79188 -14.67836 -14.29924 -13.95908 -13.70159 -13.55191 -13.37350 -13.21423 -13.18801 -12.82570 -12.45110 -12.41807 -12.31959 -11.90425 -11.84104 -11.57357 -11.52052 -11.44840 -11.34932 -11.07261 -11.03409 -10.98889 -10.83956 -10.58570 -10.41717 -10.25996 -10.09206 -9.78870 -9.69737 -9.60592 -9.42322 -9.05484 -8.86509 -8.65075 -8.36331 -7.19563 -6.00377 -4.10515 2.78297 2.98277 3.29426 3.34423 3.38968 4.14904 4.27151 4.35582 4.40685 4.64192 4.73196 4.88652 5.04249 5.13616 5.19043 5.25007 5.28184 5.36226 5.40919 5.44680 5.46018 5.53509 5.58573 5.59804 5.68372 5.73031 5.74842 5.81521 5.87784 5.89230 6.10011 6.22555 6.23380 6.25998 6.33337 6.36894 6.42290 6.51797 6.57300 6.69704 6.84104 6.94479 7.01987 7.15340 7.20840 7.30432 7.52743 7.62030 7.71839 7.90287 8.07910 8.29107 8.34637 8.40450 8.96319 9.56013 11.00655 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012264 B = 0.004084 C = 0.003771 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2282.529711 B = 6854.458907 C = 7423.590782 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.116 4.116 3 C 0.221 3.779 4 H 0.044 0.956 5 C -0.548 4.548 6 H 0.068 0.932 7 C 0.071 3.929 8 N -0.886 5.886 9 Si 0.881 3.119 10 H -0.277 1.277 11 H -0.288 1.288 12 H -0.278 1.278 13 N -0.531 5.531 14 C 0.089 3.911 15 C -0.100 4.100 16 H 0.093 0.907 17 C 0.539 3.461 18 O -0.533 6.533 19 N -0.625 5.625 20 C 0.100 3.900 21 C -0.132 4.132 22 C -0.134 4.134 23 C 0.104 3.896 24 C -0.118 4.118 25 C 0.087 3.913 26 H 0.104 0.896 27 O -0.388 6.388 28 C 0.044 3.956 29 C -0.173 4.173 30 C 0.076 3.924 31 H 0.094 0.906 32 H 0.026 0.974 33 H 0.041 0.959 34 H 0.050 0.950 35 H 0.037 0.963 36 H 0.088 0.912 37 H 0.261 0.739 38 H 0.071 0.929 39 H 0.058 0.942 40 H 0.070 0.930 41 H 0.071 0.929 42 H 0.076 0.924 43 H 0.081 0.919 44 H 0.082 0.918 45 H 0.075 0.925 46 H 0.065 0.935 47 H 0.075 0.925 48 H 0.060 0.940 49 H 0.070 0.930 50 H 0.055 0.945 51 H 0.064 0.936 52 H 0.079 0.921 53 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.257 9.935 -12.441 18.416 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 -0.200 4.200 2 C -0.154 4.154 3 C 0.116 3.884 4 H 0.062 0.938 5 C -0.587 4.587 6 H 0.086 0.914 7 C -0.132 4.132 8 N -0.524 5.524 9 Si 0.709 3.291 10 H -0.203 1.203 11 H -0.213 1.213 12 H -0.203 1.203 13 N -0.254 5.254 14 C -0.040 4.040 15 C -0.122 4.122 16 H 0.111 0.889 17 C 0.328 3.672 18 O -0.408 6.408 19 N -0.361 5.361 20 C -0.024 4.024 21 C -0.170 4.170 22 C -0.172 4.172 23 C -0.019 4.019 24 C -0.156 4.156 25 C 0.030 3.970 26 H 0.122 0.878 27 O -0.307 6.307 28 C -0.033 4.033 29 C -0.212 4.212 30 C -0.035 4.035 31 H 0.112 0.888 32 H 0.045 0.955 33 H 0.060 0.940 34 H 0.069 0.931 35 H 0.055 0.945 36 H 0.106 0.894 37 H 0.071 0.929 38 H 0.089 0.911 39 H 0.076 0.924 40 H 0.088 0.912 41 H 0.090 0.910 42 H 0.095 0.905 43 H 0.100 0.900 44 H 0.101 0.899 45 H 0.094 0.906 46 H 0.084 0.916 47 H 0.094 0.906 48 H 0.079 0.921 49 H 0.089 0.911 50 H 0.073 0.927 51 H 0.082 0.918 52 H 0.097 0.903 53 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -9.104 9.924 -12.214 18.181 hybrid contribution 2.053 -0.062 0.310 2.077 sum -7.051 9.863 -11.904 16.991 Atomic orbital electron populations 1.21775 0.98713 0.98687 1.00848 1.21713 0.92345 0.99334 1.01998 1.19246 0.93003 0.90471 0.85702 0.93779 1.21988 0.92509 1.40074 1.04083 0.91382 1.24871 0.97670 0.95110 0.95544 1.69886 1.35074 1.40030 1.07423 0.86821 0.86559 0.78425 0.77256 1.20251 1.21350 1.20320 1.60964 1.59432 1.01832 1.03147 1.21663 0.98026 0.89695 0.94581 1.21329 1.02107 0.90224 0.98562 0.88888 1.20502 0.84946 0.86164 0.75597 1.90709 1.18523 1.83682 1.47870 1.48586 1.10759 1.09658 1.67100 1.22037 0.81626 0.98130 1.00560 1.22634 0.97545 0.95220 1.01568 1.22789 0.94767 1.00535 0.99094 1.22180 0.99051 0.82291 0.98340 1.21866 1.02303 0.95823 0.95654 1.23030 0.96224 0.89466 0.88327 0.87816 1.88606 1.35590 1.70426 1.36071 1.23250 0.87136 0.98066 0.94871 1.23853 0.99835 1.04042 0.93482 1.22314 0.93941 0.97357 0.89872 0.88786 0.95463 0.93999 0.93132 0.94452 0.89371 0.92909 0.91093 0.92422 0.91209 0.91040 0.90489 0.90000 0.89937 0.90643 0.91635 0.90638 0.92091 0.91090 0.92719 0.91761 0.90276 0.88473 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 -2.68 9.55 37.16 0.35 -2.32 16 2 C -0.12 -2.53 4.72 -26.74 -0.13 -2.65 16 3 C 0.22 5.07 1.87 -68.87 -0.13 4.94 16 4 H 0.04 1.16 8.14 -51.93 -0.42 0.73 16 5 C -0.55 -13.77 5.80 -34.44 -0.20 -13.97 16 6 H 0.07 1.72 3.91 -52.48 -0.21 1.52 16 7 C 0.07 1.86 5.30 -17.82 -0.09 1.77 16 8 N -0.89 -24.22 11.55 55.43 0.64 -23.58 16 9 Si 0.88 21.01 29.54 -169.99 -5.02 15.99 16 10 H -0.28 -6.74 7.11 56.52 0.40 -6.34 16 11 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 12 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 13 N -0.53 -10.28 3.91 -220.34 -0.86 -11.15 16 14 C 0.09 1.73 3.69 -3.78 -0.01 1.71 16 15 C -0.10 -1.57 2.38 -91.73 -0.22 -1.79 16 16 H 0.09 1.29 7.00 -51.93 -0.36 0.93 16 17 C 0.54 8.84 6.87 -10.98 -0.08 8.77 16 18 O -0.53 -10.92 16.66 5.56 0.09 -10.82 16 19 N -0.62 -7.92 3.33 -170.53 -0.57 -8.49 16 20 C 0.10 0.91 5.95 -3.07 -0.02 0.89 16 21 C -0.13 -0.86 6.95 -24.90 -0.17 -1.04 16 22 C -0.13 -0.95 7.08 -24.58 -0.17 -1.13 16 23 C 0.10 1.11 6.89 -2.53 -0.02 1.09 16 24 C -0.12 -1.81 4.44 -26.78 -0.12 -1.93 16 25 C 0.09 1.37 4.21 -26.12 -0.11 1.26 16 26 H 0.10 1.46 8.14 -51.93 -0.42 1.04 16 27 O -0.39 -6.50 10.95 -35.23 -0.39 -6.89 16 28 C 0.04 0.72 7.43 38.06 0.28 1.00 16 29 C -0.17 -3.23 3.77 -25.08 -0.09 -3.33 16 30 C 0.08 1.35 1.91 -67.68 -0.13 1.23 16 31 H 0.09 1.74 5.40 -51.93 -0.28 1.46 16 32 H 0.03 0.46 8.14 -51.93 -0.42 0.04 16 33 H 0.04 0.80 8.14 -51.93 -0.42 0.37 16 34 H 0.05 0.90 7.00 -51.93 -0.36 0.53 16 35 H 0.04 0.80 5.58 -51.93 -0.29 0.51 16 36 H 0.09 2.20 6.27 -51.93 -0.33 1.88 16 37 H 0.26 6.94 8.31 -40.82 -0.34 6.60 16 38 H 0.07 1.47 8.12 -51.93 -0.42 1.05 16 39 H 0.06 1.29 5.07 -51.93 -0.26 1.02 16 40 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 41 H 0.07 0.63 8.00 -51.93 -0.42 0.22 16 42 H 0.08 0.46 8.14 -51.93 -0.42 0.04 16 43 H 0.08 0.41 8.14 -51.93 -0.42 -0.01 16 44 H 0.08 0.45 8.14 -51.92 -0.42 0.03 16 45 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 46 H 0.07 0.69 8.14 -51.93 -0.42 0.26 16 47 H 0.08 0.89 8.08 -51.93 -0.42 0.47 16 48 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 49 H 0.07 1.24 7.09 -51.93 -0.37 0.87 16 50 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 51 H 0.06 0.97 8.14 -51.93 -0.42 0.55 16 52 H 0.08 1.62 4.75 -51.93 -0.25 1.37 16 53 H 0.10 1.99 6.72 -51.93 -0.35 1.64 16 LS Contribution 383.23 15.07 5.78 5.78 Total: -1.00 -29.03 383.23 -10.33 -39.36 By element: Atomic # 1 Polarization: 14.24 SS G_CDS: -8.94 Total: 5.30 kcal Atomic # 6 Polarization: -4.44 SS G_CDS: -1.05 Total: -5.49 kcal Atomic # 7 Polarization: -42.42 SS G_CDS: -0.79 Total: -43.21 kcal Atomic # 8 Polarization: -17.42 SS G_CDS: -0.29 Total: -17.71 kcal Atomic # 14 Polarization: 21.01 SS G_CDS: -5.02 Total: 15.99 kcal Total LS contribution 5.78 Total: 5.78 kcal Total: -29.03 -10.33 -39.36 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. ZINC001255167561.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 -28.099 kcal (2) G-P(sol) polarization free energy of solvation -29.033 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -57.132 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.326 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.359 kcal (6) G-S(sol) free energy of system = (1) + (5) -67.458 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds