Wall clock time and date at job start Tue Mar 31 2020 20:37:28 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 1.52997 * 109.46939 * 2 1 4 4 H 1.08996 * 109.47502 * 58.45867 * 3 2 1 5 5 O 1.42902 * 109.47283 * 298.45384 * 3 2 1 6 6 C 1.42894 * 113.99996 * 154.49488 * 5 3 2 7 7 C 1.55237 * 110.58317 * 260.59674 * 6 5 3 8 8 C 1.54887 * 102.58869 * 203.33984 * 7 6 5 9 9 C 1.54262 * 104.31528 * 37.92734 * 8 7 6 10 10 C 1.53879 * 106.59976 * 336.32468 * 9 8 7 11 11 C 1.50701 * 109.46904 * 178.45214 * 3 2 1 12 12 O 1.21283 * 119.99763 * 110.33130 * 11 3 2 13 13 N 1.34771 * 120.00354 * 290.33740 * 11 3 2 14 14 C 1.47162 * 120.71032 * 4.61364 * 13 11 3 15 15 C 1.54284 * 107.82192 * 132.71102 * 14 13 11 16 16 H 1.09004 * 112.53284 * 182.36745 * 15 14 13 17 17 C 1.54545 * 107.97576 * 306.71793 * 15 14 13 18 18 C 1.54279 * 104.84403 * 89.02202 * 17 15 14 19 19 C 1.54551 * 104.85238 * 359.97438 * 18 17 15 20 20 H 1.08998 * 112.17884 * 147.01322 * 19 18 17 21 21 C 1.47161 * 120.71059 * 184.89031 * 13 11 3 22 22 N 1.48305 * 107.11083 * 58.60183 * 15 14 13 23 23 C 1.36935 * 128.07756 * 106.60473 * 22 15 14 24 24 H 1.08000 * 119.99954 * 325.85456 * 23 22 15 25 25 C 1.38814 * 120.00113 * 145.86277 * 23 22 15 26 26 N 1.31613 * 120.00332 * 170.73527 * 25 23 22 27 27 Si 1.86800 * 119.99649 * 350.72631 * 25 23 22 28 28 H 1.48501 * 109.47158 * 87.54524 * 27 25 23 29 29 H 1.48506 * 109.47100 * 207.54678 * 27 25 23 30 30 H 1.48505 * 109.47463 * 327.54286 * 27 25 23 31 31 H 1.09003 * 109.47278 * 305.02129 * 1 2 3 32 32 H 1.09001 * 109.46886 * 65.02062 * 1 2 3 33 33 H 1.08998 * 109.47302 * 185.01936 * 1 2 3 34 34 H 1.08997 * 109.47252 * 239.99683 * 2 1 3 35 35 H 1.09001 * 109.46496 * 120.00028 * 2 1 3 36 36 H 1.09006 * 110.43573 * 23.17716 * 6 5 3 37 37 H 1.09000 * 110.90194 * 85.04303 * 7 6 5 38 38 H 1.09004 * 110.75866 * 321.56610 * 7 6 5 39 39 H 1.09001 * 110.49012 * 279.18139 * 8 7 6 40 40 H 1.09003 * 110.48948 * 156.67219 * 8 7 6 41 41 H 1.09004 * 110.03469 * 95.60377 * 9 8 7 42 42 H 1.08996 * 110.03468 * 216.99115 * 9 8 7 43 43 H 1.08996 * 110.03206 * 119.28115 * 10 9 8 44 44 H 1.08996 * 110.03379 * 240.66625 * 10 9 8 45 45 H 1.08997 * 109.74888 * 252.41268 * 14 13 11 46 46 H 1.09004 * 109.74507 * 13.14670 * 14 13 11 47 47 H 1.08995 * 110.36268 * 330.18196 * 17 15 14 48 48 H 1.08994 * 110.36591 * 207.86371 * 17 15 14 49 49 H 1.09010 * 110.36321 * 241.15853 * 18 17 15 50 50 H 1.09002 * 110.45743 * 118.89387 * 18 17 15 51 51 H 1.09000 * 109.75301 * 346.85994 * 21 13 11 52 52 H 1.09009 * 109.74912 * 107.54146 * 21 13 11 53 53 H 0.96998 * 120.00228 * 179.97438 * 26 25 23 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 2.0399 1.4425 0.0000 4 1 1.6543 1.9643 0.8758 5 8 1.5935 2.1056 -1.1845 6 6 1.4927 3.5249 -1.0532 7 6 0.0213 3.9457 -0.7926 8 6 0.0000 5.4167 -1.2771 9 6 0.9063 5.4202 -2.5255 10 6 1.8554 4.2174 -2.3831 11 6 3.5465 1.4426 0.0384 12 8 4.1778 1.7988 -0.9340 13 7 4.1923 1.0470 1.1532 14 6 3.4464 0.5166 2.3056 15 6 4.1479 -0.7778 2.7669 16 1 3.6312 -1.2599 3.5968 17 6 4.2813 -1.7106 1.5419 18 6 5.6293 -1.3263 0.8974 19 6 6.1877 -0.1957 1.7911 20 1 7.2761 -0.2139 1.8455 21 6 5.6579 1.1416 1.2463 22 7 5.5453 -0.4185 3.1095 23 6 6.1105 -0.3163 4.3526 24 1 5.5219 0.0379 5.1859 25 6 7.4400 -0.6677 4.5416 26 7 8.0353 -0.4007 5.6847 27 14 8.3843 -1.5201 3.1736 28 1 8.9855 -0.5002 2.2772 29 1 9.4601 -2.3578 3.7621 30 1 7.4580 -2.3800 2.3940 31 1 -0.3634 0.5898 0.8416 32 1 -0.3633 0.4340 -0.9316 33 1 -0.3634 -1.0237 0.0899 34 1 1.8934 -0.5139 -0.8899 35 1 1.8932 -0.5139 0.8900 36 1 2.1385 3.8796 -0.2499 37 1 -0.2183 3.8851 0.2691 38 1 -0.6648 3.3355 -1.3800 39 1 0.4048 6.0769 -0.5101 40 1 -1.0141 5.7168 -1.5411 41 1 0.3016 5.3140 -3.4262 42 1 1.4797 6.3461 -2.5680 43 1 1.7112 3.5275 -3.2146 44 1 2.8900 4.5592 -2.3569 45 1 3.4483 1.2480 3.1137 46 1 2.4207 0.2956 2.0102 47 1 3.4634 -1.5374 0.8425 48 1 4.2960 -2.7533 1.8589 49 1 5.4742 -0.9641 -0.1190 50 1 6.3078 -2.1793 0.8959 51 1 6.0784 1.3295 0.2584 52 1 5.9324 1.9507 1.9233 53 1 8.9642 -0.6466 5.8169 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 ZINC001029497517.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 20:37:28 Heat of formation + Delta-G solvation = -45.327463 kcal Electronic energy + Delta-G solvation = -31979.087566 eV Core-core repulsion = 28044.615812 eV Total energy + Delta-G solvation = -3934.471753 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -40.68916 -39.17828 -37.87218 -36.24445 -34.34294 -33.18391 -32.43361 -31.01566 -29.98082 -28.89409 -28.32553 -27.31896 -25.81315 -24.23381 -23.58146 -21.94033 -21.02438 -20.46681 -20.35060 -19.94731 -18.81764 -17.53362 -17.13571 -16.50818 -16.00952 -15.93406 -15.39189 -15.05263 -14.81080 -14.58327 -14.07957 -13.68492 -13.60644 -13.44868 -13.40837 -13.31780 -13.09286 -12.65878 -12.49485 -12.42263 -12.21617 -12.16552 -11.90584 -11.80650 -11.42341 -11.34543 -11.31433 -11.24492 -11.06789 -10.98251 -10.78017 -10.62300 -10.59051 -10.50949 -10.24478 -10.11131 -9.90304 -9.87066 -9.54301 -9.05162 -8.72327 -8.32725 -6.99644 -6.04879 -3.51989 2.81981 3.14949 3.24198 3.39752 3.42912 3.61670 4.38312 4.42284 4.42738 4.55005 4.69368 4.70428 4.81081 4.85180 5.05291 5.11611 5.16641 5.25801 5.29371 5.33383 5.37039 5.41701 5.42336 5.43665 5.45713 5.50078 5.59063 5.62614 5.66562 5.73040 5.77182 5.84034 5.86867 5.90207 5.99387 6.01694 6.07581 6.10896 6.14393 6.15405 6.20020 6.32384 6.35133 6.37853 6.41527 6.61670 6.74996 6.91790 7.12897 7.67289 7.78107 8.23699 8.45133 8.67794 9.54616 10.15577 11.10386 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.019900 B = 0.003296 C = 0.003166 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1406.670013 B = 8492.908192 C = 8841.389201 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.129 4.129 3 C 0.079 3.921 4 H 0.080 0.920 5 O -0.344 6.344 6 C 0.085 3.915 7 C -0.143 4.143 8 C -0.124 4.124 9 C -0.123 4.123 10 C -0.120 4.120 11 C 0.484 3.516 12 O -0.539 6.539 13 N -0.590 5.590 14 C 0.081 3.919 15 C 0.137 3.863 16 H 0.090 0.910 17 C -0.128 4.128 18 C -0.131 4.131 19 C 0.119 3.881 20 H 0.083 0.917 21 C 0.103 3.897 22 N -0.595 5.595 23 C -0.243 4.243 24 H 0.088 0.912 25 C 0.032 3.968 26 N -0.910 5.910 27 Si 0.885 3.115 28 H -0.285 1.285 29 H -0.303 1.303 30 H -0.257 1.257 31 H 0.053 0.947 32 H 0.062 0.938 33 H 0.058 0.942 34 H 0.076 0.924 35 H 0.096 0.904 36 H 0.064 0.936 37 H 0.066 0.934 38 H 0.077 0.923 39 H 0.066 0.934 40 H 0.067 0.933 41 H 0.065 0.935 42 H 0.064 0.936 43 H 0.076 0.924 44 H 0.069 0.931 45 H 0.070 0.930 46 H 0.082 0.918 47 H 0.059 0.941 48 H 0.061 0.939 49 H 0.060 0.940 50 H 0.062 0.938 51 H 0.079 0.921 52 H 0.068 0.932 53 H 0.265 0.735 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.253 5.327 -12.472 21.946 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 -0.203 4.203 2 C -0.166 4.166 3 C 0.018 3.982 4 H 0.098 0.902 5 O -0.262 6.262 6 C 0.027 3.973 7 C -0.181 4.181 8 C -0.161 4.161 9 C -0.160 4.160 10 C -0.158 4.158 11 C 0.271 3.729 12 O -0.416 6.416 13 N -0.324 5.324 14 C -0.044 4.044 15 C 0.029 3.971 16 H 0.108 0.892 17 C -0.167 4.167 18 C -0.170 4.170 19 C 0.012 3.988 20 H 0.100 0.900 21 C -0.021 4.021 22 N -0.318 5.318 23 C -0.370 4.370 24 H 0.106 0.894 25 C -0.168 4.168 26 N -0.552 5.552 27 Si 0.716 3.284 28 H -0.213 1.213 29 H -0.231 1.231 30 H -0.182 1.182 31 H 0.072 0.928 32 H 0.081 0.919 33 H 0.077 0.923 34 H 0.095 0.905 35 H 0.114 0.886 36 H 0.082 0.918 37 H 0.085 0.915 38 H 0.096 0.904 39 H 0.084 0.916 40 H 0.085 0.915 41 H 0.083 0.917 42 H 0.083 0.917 43 H 0.094 0.906 44 H 0.088 0.912 45 H 0.088 0.912 46 H 0.100 0.900 47 H 0.077 0.923 48 H 0.080 0.920 49 H 0.078 0.922 50 H 0.081 0.919 51 H 0.097 0.903 52 H 0.086 0.914 53 H 0.075 0.925 Dipole moment (debyes) X Y Z Total from point charges -16.740 5.422 -12.906 21.821 hybrid contribution 0.929 -0.222 -0.329 1.010 sum -15.811 5.200 -13.235 21.265 Atomic orbital electron populations 1.21693 0.94426 1.01778 1.02389 1.21918 0.97322 0.93116 1.04220 1.22090 0.90722 0.95895 0.89537 0.90194 1.87990 1.85569 1.18607 1.33987 1.23089 0.95236 0.80856 0.98074 1.23023 0.97358 0.96488 1.01253 1.22269 0.99855 0.96357 0.97666 1.22093 0.97584 0.98120 0.98236 1.22148 0.99612 0.96563 0.97468 1.21311 0.90748 0.78053 0.82785 1.90660 1.68355 1.48319 1.34286 1.48088 1.07761 1.61860 1.14717 1.22900 0.94990 0.98229 0.88261 1.22092 0.88474 0.91278 0.95245 0.89183 1.22551 0.96962 0.99625 0.97587 1.22620 0.97222 0.98879 0.98289 1.22233 0.97366 0.92028 0.87163 0.90002 1.22299 0.78989 0.99608 1.01166 1.45370 1.06451 1.79090 1.00858 1.18556 0.95611 1.38728 0.84141 0.89434 1.25349 0.97655 0.97800 0.96032 1.69724 1.12229 1.49089 1.24170 0.86870 0.79396 0.80326 0.81759 1.21344 1.23126 1.18228 0.92762 0.91911 0.92326 0.90487 0.88608 0.91789 0.91509 0.90424 0.91566 0.91452 0.91660 0.91730 0.90553 0.91194 0.91214 0.90011 0.92256 0.92028 0.92160 0.91919 0.90260 0.91367 0.92488 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 -0.15 -1.28 9.72 37.16 0.36 -0.91 16 2 C -0.13 -1.40 4.82 -26.73 -0.13 -1.53 16 3 C 0.08 1.01 1.55 -27.88 -0.04 0.97 16 4 H 0.08 0.90 7.48 -51.93 -0.39 0.51 16 5 O -0.34 -4.64 8.76 -54.95 -0.48 -5.12 16 6 C 0.09 1.00 3.13 -24.88 -0.08 0.93 16 7 C -0.14 -1.31 6.65 -24.55 -0.16 -1.47 16 8 C -0.12 -0.99 6.82 -25.08 -0.17 -1.16 16 9 C -0.12 -1.05 6.80 -25.61 -0.17 -1.23 16 10 C -0.12 -1.35 6.56 -25.61 -0.17 -1.51 16 11 C 0.48 7.95 6.89 -10.99 -0.08 7.88 16 12 O -0.54 -10.70 15.97 -14.17 -0.23 -10.92 16 13 N -0.59 -9.82 2.24 -171.32 -0.38 -10.20 16 14 C 0.08 1.20 5.39 -3.01 -0.02 1.19 16 15 C 0.14 2.38 4.32 -65.45 -0.28 2.10 16 16 H 0.09 1.50 8.14 -51.93 -0.42 1.08 16 17 C -0.13 -2.07 6.19 -25.25 -0.16 -2.22 16 18 C -0.13 -2.41 5.87 -25.25 -0.15 -2.56 16 19 C 0.12 2.47 2.82 -65.68 -0.19 2.28 16 20 H 0.08 1.87 3.58 -51.93 -0.19 1.68 16 21 C 0.10 1.97 5.91 -3.25 -0.02 1.95 16 22 N -0.59 -13.17 2.43 -152.38 -0.37 -13.54 16 23 C -0.24 -6.44 10.77 -15.06 -0.16 -6.60 16 24 H 0.09 2.48 8.06 -52.49 -0.42 2.06 16 25 C 0.03 0.89 5.50 -17.43 -0.10 0.79 16 26 N -0.91 -27.15 13.97 55.49 0.78 -26.37 16 27 Si 0.88 21.70 24.70 -169.99 -4.20 17.51 16 28 H -0.29 -6.89 6.63 56.52 0.37 -6.51 16 29 H -0.30 -7.64 7.11 56.52 0.40 -7.24 16 30 H -0.26 -6.01 5.06 56.52 0.29 -5.72 16 31 H 0.05 0.43 8.14 -51.93 -0.42 0.00 16 32 H 0.06 0.58 7.87 -51.93 -0.41 0.18 16 33 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 34 H 0.08 0.93 8.14 -51.93 -0.42 0.50 16 35 H 0.10 1.00 3.65 -51.93 -0.19 0.81 16 36 H 0.06 0.81 7.70 -51.93 -0.40 0.41 16 37 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 38 H 0.08 0.71 8.14 -51.93 -0.42 0.28 16 39 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 40 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 41 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 42 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.08 0.90 8.07 -51.93 -0.42 0.49 16 44 H 0.07 0.85 8.14 -51.93 -0.42 0.42 16 45 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 46 H 0.08 0.95 3.94 -51.93 -0.20 0.75 16 47 H 0.06 0.82 5.72 -51.93 -0.30 0.53 16 48 H 0.06 0.97 8.14 -51.93 -0.42 0.55 16 49 H 0.06 1.07 7.84 -51.92 -0.41 0.66 16 50 H 0.06 1.19 6.57 -51.93 -0.34 0.85 16 51 H 0.08 1.52 7.08 -51.93 -0.37 1.15 16 52 H 0.07 1.36 8.14 -51.92 -0.42 0.94 16 53 H 0.27 7.55 8.31 -40.82 -0.34 7.21 16 LS Contribution 386.43 15.07 5.82 5.82 Total: -1.00 -31.22 386.43 -10.00 -41.21 By element: Atomic # 1 Polarization: 11.96 SS G_CDS: -9.23 Total: 2.74 kcal Atomic # 6 Polarization: 0.59 SS G_CDS: -1.71 Total: -1.12 kcal Atomic # 7 Polarization: -50.13 SS G_CDS: 0.02 Total: -50.11 kcal Atomic # 8 Polarization: -15.34 SS G_CDS: -0.71 Total: -16.05 kcal Atomic # 14 Polarization: 21.70 SS G_CDS: -4.20 Total: 17.51 kcal Total LS contribution 5.82 Total: 5.82 kcal Total: -31.22 -10.00 -41.21 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. ZINC001029497517.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 -4.114 kcal (2) G-P(sol) polarization free energy of solvation -31.217 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -35.331 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.997 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.213 kcal (6) G-S(sol) free energy of system = (1) + (5) -45.327 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds