Wall clock time and date at job start Tue Mar 31 2020 12:22:16 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 1.53002 * 1 3 3 C 1.52997 * 109.47102 * 2 1 4 4 C 1.53001 * 109.46956 * 120.00528 * 2 1 3 5 5 N 1.46899 * 109.47306 * 66.52584 * 4 2 1 6 6 C 1.46899 * 110.99730 * 196.69283 * 5 4 2 7 7 C 1.50696 * 109.47129 * 76.57983 * 6 5 4 8 8 C 1.38303 * 119.93124 * 89.99717 * 7 6 5 9 9 C 1.38103 * 120.06860 * 179.97438 * 8 7 6 10 10 C 1.38879 * 119.92783 * 0.02562 * 9 8 7 11 11 O 1.35755 * 120.06923 * 180.02562 * 10 9 8 12 12 C 1.34831 * 116.99800 * 5.34274 * 11 10 9 13 13 H 1.08004 * 120.00016 * 354.89944 * 12 11 10 14 14 C 1.38659 * 120.00200 * 174.90115 * 12 11 10 15 15 N 1.31555 * 119.99937 * 359.97438 * 14 12 11 16 16 Si 1.86799 * 120.00152 * 179.97438 * 14 12 11 17 17 H 1.48500 * 109.47202 * 359.97438 * 16 14 12 18 18 H 1.48501 * 109.47004 * 119.99686 * 16 14 12 19 19 H 1.48499 * 109.47192 * 239.99759 * 16 14 12 20 20 C 1.38877 * 119.86527 * 0.27587 * 10 9 8 21 21 C 1.38097 * 119.93021 * 359.44314 * 20 10 9 22 22 C 1.46901 * 110.99580 * 72.74634 * 5 4 2 23 23 C 1.53007 * 109.46844 * 210.63673 * 22 5 4 24 24 C 1.53006 * 109.46841 * 60.72002 * 23 22 5 25 25 C 1.52997 * 109.47077 * 180.71978 * 23 22 5 26 26 C 1.52999 * 109.47020 * 300.72207 * 23 22 5 27 27 H 1.08999 * 109.46954 * 65.76646 * 1 2 3 28 28 H 1.09001 * 109.47273 * 185.76393 * 1 2 3 29 29 H 1.08997 * 109.47135 * 305.76563 * 1 2 3 30 30 H 1.09002 * 109.46922 * 239.99780 * 2 1 3 31 31 H 1.08998 * 109.46831 * 179.97438 * 3 2 1 32 32 H 1.08997 * 109.47202 * 299.99931 * 3 2 1 33 33 H 1.09008 * 109.46819 * 60.00376 * 3 2 1 34 34 H 1.09003 * 109.47112 * 306.52768 * 4 2 1 35 35 H 1.08996 * 109.47295 * 186.53494 * 4 2 1 36 36 H 1.09002 * 109.47321 * 316.57604 * 6 5 4 37 37 H 1.09003 * 109.46773 * 196.57559 * 6 5 4 38 38 H 1.07995 * 119.96834 * 359.97438 * 8 7 6 39 39 H 1.07992 * 120.03886 * 179.97438 * 9 8 7 40 40 H 0.96992 * 120.00424 * 180.02562 * 15 14 12 41 41 H 1.08006 * 120.03369 * 179.72738 * 20 10 9 42 42 H 1.07996 * 119.96871 * 180.27292 * 21 20 10 43 43 H 1.08995 * 109.47362 * 330.63213 * 22 5 4 44 44 H 1.08997 * 109.47891 * 90.63819 * 22 5 4 45 45 H 1.08995 * 109.47102 * 62.23490 * 24 23 22 46 46 H 1.09003 * 109.46736 * 182.23221 * 24 23 22 47 47 H 1.08997 * 109.47266 * 302.23414 * 24 23 22 48 48 H 1.08997 * 109.47586 * 59.99823 * 25 23 22 49 49 H 1.09004 * 109.47177 * 180.02562 * 25 23 22 50 50 H 1.09000 * 109.47246 * 299.99843 * 25 23 22 51 51 H 1.08993 * 109.47448 * 69.57133 * 26 23 22 52 52 H 1.09003 * 109.46662 * 189.57184 * 26 23 22 53 53 H 1.09002 * 109.47052 * 309.56568 * 26 23 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 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7214 1.2492 5 7 1.6831 -2.1443 1.1730 6 6 1.7918 -2.7855 2.4902 7 6 0.6049 -2.4011 3.3355 8 6 -0.5406 -3.1756 3.3095 9 6 -1.6298 -2.8262 4.0834 10 6 -1.5740 -1.6955 4.8879 11 8 -2.6427 -1.3497 5.6503 12 6 -3.6853 -2.2046 5.6663 13 1 -3.6803 -3.0745 5.0263 14 6 -4.7640 -1.9668 6.5045 15 7 -4.7700 -0.9073 7.2844 16 14 -6.2087 -3.1507 6.5262 17 1 -5.9594 -4.2537 5.5637 18 1 -6.3686 -3.7115 7.8919 19 1 -7.4470 -2.4277 6.1399 20 6 -0.4245 -0.9164 4.9071 21 6 0.6634 -1.2743 4.1353 22 6 2.5091 -2.8416 0.1783 23 6 1.7079 -3.9928 -0.4331 24 6 0.4627 -3.4359 -1.1262 25 6 2.5742 -4.7302 -1.4562 26 6 1.2856 -4.9634 0.6716 27 1 -0.3633 0.4218 -0.9371 28 1 -0.3634 -1.0225 0.1032 29 1 -0.3633 0.6006 0.8338 30 1 1.8933 -0.5139 -0.8900 31 1 3.1300 1.4424 0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6767 1.9563 0.8901 34 1 1.5844 -0.2795 2.1354 35 1 3.1236 -0.6212 1.3097 36 1 2.7084 -2.4567 2.9798 37 1 1.8142 -3.8683 2.3664 38 1 -0.5836 -4.0544 2.6833 39 1 -2.5242 -3.4310 4.0624 40 1 -5.5243 -0.7411 7.8710 41 1 -0.3797 -0.0341 5.5284 42 1 1.5592 -0.6713 4.1531 43 1 2.7990 -2.1435 -0.6070 44 1 3.4028 -3.2371 0.6609 45 1 0.7642 -2.7752 -1.9389 46 1 -0.1285 -4.2591 -1.5275 47 1 -0.1346 -2.8769 -0.4060 48 1 3.4613 -5.1269 -0.9625 49 1 2.0033 -5.5501 -1.8921 50 1 2.8751 -4.0387 -2.2432 51 1 0.5357 -4.4893 1.3047 52 1 0.8658 -5.8639 0.2231 53 1 2.1545 -5.2287 1.2739 RHF calculation, no. of doubly occupied orbitals= 62 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 ZINC000761974697.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 12:22:16 Heat of formation + Delta-G solvation = -18.306086 kcal Electronic energy + Delta-G solvation = -28315.339859 eV Core-core repulsion = 24766.147944 eV Total energy + Delta-G solvation = -3549.191916 eV No. of doubly occupied orbitals = 62 Molecular weight (most abundant/longest-lived isotopes) = 319.225 amu Computer time = 0.94 seconds Orbital eigenvalues (eV) -39.61435 -38.63260 -36.56421 -36.08662 -33.80091 -32.24478 -30.25658 -29.86781 -27.54193 -27.38213 -26.80511 -26.42252 -25.92957 -24.92616 -22.37183 -21.91133 -20.24530 -19.82155 -18.78264 -17.92238 -16.94777 -15.95382 -15.37845 -15.23534 -14.63114 -14.52255 -14.40078 -14.28590 -14.04605 -13.77201 -13.57779 -13.45046 -13.15323 -12.85814 -12.75875 -12.61557 -12.42035 -12.18231 -12.01937 -11.86721 -11.72940 -11.63401 -11.58605 -11.27890 -11.14198 -11.07993 -10.90306 -10.75964 -10.70763 -10.61354 -10.57335 -10.49479 -10.38474 -10.21596 -10.00318 -9.25998 -8.79819 -8.12648 -8.06433 -7.11055 -6.41798 -4.00279 2.27433 2.36020 3.13992 3.15709 3.21176 3.99352 4.02926 4.66370 4.76056 4.82627 4.86490 5.01908 5.07187 5.13564 5.22882 5.29011 5.33461 5.37410 5.48904 5.50213 5.54871 5.56712 5.65760 5.72111 5.72401 5.76513 5.79379 5.80138 5.86026 5.88714 5.95412 6.00952 6.03600 6.07074 6.09149 6.13225 6.22796 6.25404 6.26682 6.37798 6.41502 6.48587 6.55979 6.75810 6.77494 6.96527 7.10438 7.21265 7.28101 7.37139 7.48320 7.50778 7.89091 8.03840 9.04376 9.75717 10.76577 Molecular weight = 319.23amu Principal moments of inertia in cm(-1) A = 0.014565 B = 0.003312 C = 0.003013 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1921.913276 B = 8453.148879 C = 9289.701026 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C -0.087 4.087 3 C -0.148 4.148 4 C 0.056 3.944 5 N -0.523 5.523 6 C 0.095 3.905 7 C -0.168 4.168 8 C -0.054 4.054 9 C -0.233 4.233 10 C 0.155 3.845 11 O -0.181 6.181 12 C -0.389 4.389 13 H 0.092 0.908 14 C 0.038 3.962 15 N -0.864 5.864 16 Si 0.939 3.061 17 H -0.267 1.267 18 H -0.276 1.276 19 H -0.276 1.276 20 C -0.193 4.193 21 C -0.069 4.069 22 C 0.062 3.938 23 C -0.059 4.059 24 C -0.134 4.134 25 C -0.141 4.141 26 C -0.149 4.149 27 H 0.040 0.960 28 H 0.073 0.927 29 H 0.050 0.950 30 H 0.064 0.936 31 H 0.048 0.952 32 H 0.053 0.947 33 H 0.055 0.945 34 H 0.082 0.918 35 H 0.025 0.975 36 H 0.029 0.971 37 H 0.088 0.912 38 H 0.106 0.894 39 H 0.124 0.876 40 H 0.269 0.731 41 H 0.113 0.887 42 H 0.105 0.895 43 H 0.067 0.933 44 H 0.033 0.967 45 H 0.044 0.956 46 H 0.042 0.958 47 H 0.076 0.924 48 H 0.050 0.950 49 H 0.054 0.946 50 H 0.051 0.949 51 H 0.077 0.923 52 H 0.047 0.953 53 H 0.049 0.951 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 14.403 -3.577 -15.650 21.568 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 -0.197 4.197 2 C -0.106 4.106 3 C -0.206 4.206 4 C -0.072 4.072 5 N -0.246 5.246 6 C -0.031 4.031 7 C -0.169 4.169 8 C -0.072 4.072 9 C -0.253 4.253 10 C 0.101 3.899 11 O -0.084 6.084 12 C -0.466 4.466 13 H 0.109 0.891 14 C -0.166 4.166 15 N -0.500 5.500 16 Si 0.764 3.236 17 H -0.191 1.191 18 H -0.202 1.202 19 H -0.202 1.202 20 C -0.212 4.212 21 C -0.088 4.088 22 C -0.066 4.066 23 C -0.060 4.060 24 C -0.191 4.191 25 C -0.199 4.199 26 C -0.206 4.206 27 H 0.059 0.941 28 H 0.092 0.908 29 H 0.069 0.931 30 H 0.082 0.918 31 H 0.067 0.933 32 H 0.072 0.928 33 H 0.075 0.925 34 H 0.101 0.899 35 H 0.043 0.957 36 H 0.047 0.953 37 H 0.106 0.894 38 H 0.124 0.876 39 H 0.142 0.858 40 H 0.078 0.922 41 H 0.131 0.869 42 H 0.123 0.877 43 H 0.086 0.914 44 H 0.051 0.949 45 H 0.063 0.937 46 H 0.062 0.938 47 H 0.095 0.905 48 H 0.069 0.931 49 H 0.073 0.927 50 H 0.070 0.930 51 H 0.095 0.905 52 H 0.066 0.934 53 H 0.068 0.932 Dipole moment (debyes) X Y Z Total from point charges 13.714 -3.308 -15.477 20.942 hybrid contribution 0.127 -0.499 0.263 0.578 sum 13.841 -3.807 -15.214 20.917 Atomic orbital electron populations 1.21769 0.94343 1.03229 1.00381 1.21074 0.96999 0.94843 0.97693 1.21838 1.00297 0.96559 1.01858 1.22262 0.97062 0.88571 0.99278 1.61909 1.54294 1.01635 1.06749 1.21226 0.94663 0.99702 0.87534 1.19059 0.96317 0.98885 1.02636 1.20559 0.92229 0.97909 0.96542 1.21145 1.00348 1.00802 1.02981 1.19372 0.87971 0.92210 0.90321 1.83977 1.21884 1.44522 1.58043 1.21363 0.95028 1.05800 1.24391 0.89066 1.25274 0.98529 0.97484 0.95271 1.70045 1.31113 1.25723 1.23072 0.85669 0.80038 0.79365 0.78496 1.19098 1.20190 1.20184 1.20150 0.92619 1.02638 1.05793 1.20459 0.96722 0.95767 0.95867 1.22214 0.93565 0.95753 0.95089 1.20471 0.95850 0.94627 0.95054 1.21813 0.97021 1.00115 1.00128 1.21878 0.99450 1.00017 0.98586 1.22182 1.01479 0.98455 0.98512 0.94077 0.90828 0.93051 0.91753 0.93303 0.92814 0.92549 0.89917 0.95693 0.95294 0.89433 0.87612 0.85781 0.92151 0.86861 0.87738 0.91417 0.94879 0.93688 0.93840 0.90486 0.93112 0.92680 0.93012 0.90466 0.93382 0.93233 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 -0.14 -1.73 9.15 37.16 0.34 -1.39 16 2 C -0.09 -0.94 2.92 -90.62 -0.26 -1.21 16 3 C -0.15 -1.43 9.19 37.16 0.34 -1.09 16 4 C 0.06 0.66 4.09 -3.82 -0.02 0.64 16 5 N -0.52 -6.16 2.76 -236.07 -0.65 -6.81 16 6 C 0.10 1.25 4.15 -4.98 -0.02 1.22 16 7 C -0.17 -2.75 5.19 -104.57 -0.54 -3.30 16 8 C -0.05 -0.97 9.56 -39.61 -0.38 -1.34 16 9 C -0.23 -5.04 9.17 -39.39 -0.36 -5.40 16 10 C 0.15 3.74 6.65 -39.11 -0.26 3.48 16 11 O -0.18 -5.19 9.76 0.03 0.00 -5.19 16 12 C -0.39 -10.94 9.49 30.89 0.29 -10.65 16 13 H 0.09 2.38 5.20 -52.48 -0.27 2.11 16 14 C 0.04 1.06 5.49 -17.51 -0.10 0.96 16 15 N -0.86 -25.52 13.67 55.48 0.76 -24.76 16 16 Si 0.94 20.67 29.55 -169.99 -5.02 15.65 16 17 H -0.27 -5.62 7.11 56.52 0.40 -5.22 16 18 H -0.28 -5.96 7.11 56.52 0.40 -5.55 16 19 H -0.28 -5.96 7.11 56.52 0.40 -5.56 16 20 C -0.19 -4.06 9.99 -39.40 -0.39 -4.45 16 21 C -0.07 -1.22 8.31 -39.61 -0.33 -1.54 16 22 C 0.06 0.63 3.97 -3.82 -0.02 0.61 16 23 C -0.06 -0.58 0.85 -154.50 -0.13 -0.71 16 24 C -0.13 -1.40 8.34 37.16 0.31 -1.09 16 25 C -0.14 -1.18 8.46 37.16 0.31 -0.86 16 26 C -0.15 -1.55 6.82 37.16 0.25 -1.30 16 27 H 0.04 0.46 8.14 -51.93 -0.42 0.04 16 28 H 0.07 1.01 5.91 -51.93 -0.31 0.70 16 29 H 0.05 0.70 8.14 -51.93 -0.42 0.28 16 30 H 0.06 0.67 6.54 -51.93 -0.34 0.33 16 31 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 32 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 33 H 0.06 0.58 8.14 -51.92 -0.42 0.15 16 34 H 0.08 1.11 5.58 -51.93 -0.29 0.82 16 35 H 0.02 0.28 8.04 -51.93 -0.42 -0.14 16 36 H 0.03 0.37 7.93 -51.93 -0.41 -0.04 16 37 H 0.09 1.08 4.14 -51.93 -0.21 0.87 16 38 H 0.11 1.67 6.06 -52.49 -0.32 1.35 16 39 H 0.12 2.72 5.64 -52.49 -0.30 2.43 16 40 H 0.27 7.26 8.31 -40.82 -0.34 6.92 16 41 H 0.11 2.34 8.06 -52.48 -0.42 1.91 16 42 H 0.10 1.58 7.43 -52.49 -0.39 1.19 16 43 H 0.07 0.66 6.23 -51.93 -0.32 0.34 16 44 H 0.03 0.33 7.83 -51.93 -0.41 -0.07 16 45 H 0.04 0.44 8.14 -51.93 -0.42 0.02 16 46 H 0.04 0.44 8.14 -51.93 -0.42 0.02 16 47 H 0.08 0.95 5.81 -51.93 -0.30 0.65 16 48 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 49 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 50 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 51 H 0.08 0.93 4.35 -51.93 -0.23 0.70 16 52 H 0.05 0.47 8.12 -51.93 -0.42 0.05 16 53 H 0.05 0.49 7.16 -51.93 -0.37 0.12 16 LS Contribution 398.60 15.07 6.01 6.01 Total: -1.00 -29.10 398.60 -8.96 -38.06 By element: Atomic # 1 Polarization: 13.56 SS G_CDS: -9.09 Total: 4.47 kcal Atomic # 6 Polarization: -26.47 SS G_CDS: -0.96 Total: -27.42 kcal Atomic # 7 Polarization: -31.68 SS G_CDS: 0.11 Total: -31.57 kcal Atomic # 8 Polarization: -5.19 SS G_CDS: 0.00 Total: -5.19 kcal Atomic # 14 Polarization: 20.67 SS G_CDS: -5.02 Total: 15.65 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -29.10 -8.96 -38.06 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. ZINC000761974697.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 19.753 kcal (2) G-P(sol) polarization free energy of solvation -29.100 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -9.347 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.959 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.059 kcal (6) G-S(sol) free energy of system = (1) + (5) -18.306 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds