Wall clock time and date at job start Sat Apr 11 2020 06:13:40 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 1.52998 * 1 3 3 H 1.08999 * 109.47265 * 2 1 4 4 C 1.53005 * 109.46813 * 240.00143 * 2 1 3 5 5 C 1.52996 * 109.47114 * 65.89807 * 4 2 1 6 6 H 1.08996 * 109.46982 * 304.49050 * 5 4 2 7 7 C 1.53004 * 109.47287 * 184.49218 * 5 4 2 8 8 N 1.46500 * 109.47373 * 64.49248 * 5 4 2 9 9 C 1.34776 * 119.99742 * 205.77864 * 8 5 4 10 10 O 1.21278 * 120.00390 * 359.97438 * 9 8 5 11 11 C 1.50705 * 119.99681 * 179.97438 * 9 8 5 12 12 N 1.46900 * 109.47195 * 179.97438 * 11 9 8 13 13 C 1.48533 * 110.99933 * 52.60091 * 12 11 9 14 14 C 1.54940 * 103.22708 * 159.72688 * 13 12 11 15 15 C 1.54604 * 102.91898 * 322.58294 * 14 13 12 16 16 C 1.47899 * 111.00277 * 169.99995 * 12 11 9 17 17 N 1.46897 * 109.47651 * 120.00304 * 2 1 3 18 18 C 1.46899 * 110.99819 * 275.40390 * 17 2 1 19 19 C 1.50699 * 109.47041 * 179.97438 * 18 17 2 20 20 O 1.21287 * 120.00433 * 359.97438 * 19 18 17 21 21 N 1.34784 * 119.99919 * 179.97438 * 19 18 17 22 22 C 1.37104 * 119.99982 * 180.02562 * 21 19 18 23 23 H 1.07997 * 119.99837 * 359.97438 * 22 21 19 24 24 C 1.38948 * 119.99895 * 180.02562 * 22 21 19 25 25 N 1.31409 * 119.99801 * 359.97438 * 24 22 21 26 26 Si 1.86799 * 119.99776 * 179.97438 * 24 22 21 27 27 H 1.48499 * 109.47199 * 59.99652 * 26 24 22 28 28 H 1.48503 * 109.46669 * 179.97438 * 26 24 22 29 29 H 1.48497 * 109.46969 * 299.99538 * 26 24 22 30 30 H 1.09002 * 109.47041 * 299.99262 * 1 2 3 31 31 H 1.08998 * 109.47269 * 60.00073 * 1 2 3 32 32 H 1.08999 * 109.47265 * 179.97438 * 1 2 3 33 33 H 1.08993 * 109.47293 * 305.89034 * 4 2 1 34 34 H 1.09007 * 109.46636 * 185.89459 * 4 2 1 35 35 H 1.09006 * 109.47016 * 299.99822 * 7 5 4 36 36 H 1.08993 * 109.47412 * 180.02562 * 7 5 4 37 37 H 1.08999 * 109.47135 * 59.99516 * 7 5 4 38 38 H 0.97000 * 119.99987 * 25.76919 * 8 5 4 39 39 H 1.09003 * 109.46934 * 299.99709 * 11 9 8 40 40 H 1.08996 * 109.47188 * 59.99672 * 11 9 8 41 41 H 1.09003 * 110.67002 * 278.15518 * 13 12 11 42 42 H 1.08999 * 110.67228 * 41.28779 * 13 12 11 43 43 H 1.08998 * 110.72360 * 204.23341 * 14 13 12 44 44 H 1.08992 * 110.72938 * 80.93905 * 14 13 12 45 45 H 1.09001 * 110.30699 * 263.04362 * 15 14 13 46 46 H 1.08999 * 110.39171 * 140.91690 * 15 14 13 47 47 H 1.08999 * 109.91715 * 333.50317 * 16 12 11 48 48 H 1.09000 * 109.91608 * 94.60653 * 16 12 11 49 49 H 1.00898 * 111.00369 * 151.44159 * 17 2 1 50 50 H 1.09007 * 109.46857 * 299.99229 * 18 17 2 51 51 H 1.08994 * 109.47977 * 59.99559 * 18 17 2 52 52 H 0.96993 * 119.99916 * 359.97438 * 21 19 18 53 53 H 0.97006 * 119.99950 * 180.02562 * 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 1.8933 1.0276 0.0000 4 6 2.0399 -0.7213 -1.2493 5 6 1.6545 0.0805 -2.4941 6 1 0.5765 0.2413 -2.5033 7 6 2.0652 -0.6948 -3.7476 8 7 2.3411 1.3745 -2.4735 9 6 1.8110 2.4290 -3.1242 10 8 0.7659 2.3066 -3.7272 11 6 2.5170 3.7603 -3.1025 12 7 1.7432 4.7376 -3.8797 13 6 0.3302 4.7815 -3.4237 14 6 -0.1656 6.1565 -3.9377 15 6 1.0687 7.0658 -3.7380 16 6 2.2716 6.1056 -3.6874 17 7 2.0198 -0.6925 1.1993 18 6 2.0735 0.2202 2.3491 19 6 2.5788 -0.5242 3.5581 20 8 2.8654 -1.6995 3.4708 21 7 2.7121 0.1161 4.7366 22 6 3.1723 -0.5609 5.8364 23 1 3.4275 -1.6074 5.7585 24 6 3.3093 0.0991 7.0515 25 7 2.9982 1.3723 7.1463 26 14 3.9356 -0.8236 8.5501 27 1 5.2955 -1.3520 8.2734 28 1 3.9905 0.0993 9.7122 29 1 3.0191 -1.9513 8.8557 30 1 -0.3633 0.5137 0.8901 31 1 -0.3634 0.5138 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 1.5930 -1.7139 -1.3036 34 1 3.1249 -0.8136 -1.1981 35 1 3.1433 -0.8556 -3.7384 36 1 1.7911 -0.1235 -4.6343 37 1 1.5545 -1.6576 -3.7629 38 1 3.1771 1.4723 -1.9914 39 1 2.6096 4.1057 -2.0728 40 1 3.5094 3.6524 -3.5402 41 1 -0.2447 3.9724 -3.8742 42 1 0.2752 4.7347 -2.3361 43 1 -1.0062 6.5109 -3.3412 44 1 -0.4361 6.0995 -4.9920 45 1 0.9849 7.6170 -2.8014 46 1 1.1710 7.7565 -4.5750 47 1 2.7655 6.1801 -2.7186 48 1 2.9765 6.3466 -4.4831 49 1 2.9203 -1.1150 1.0305 50 1 2.7460 1.0482 2.1246 51 1 1.0753 0.6077 2.5525 52 1 2.4833 1.0561 4.8065 53 1 3.0942 1.8332 7.9945 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 ZINC001146336305.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:13:40 Heat of formation + Delta-G solvation = -71.398598 kcal Electronic energy + Delta-G solvation = -29931.530550 eV Core-core repulsion = 25837.764967 eV Total energy + Delta-G solvation = -4093.765583 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -40.49703 -38.87930 -38.32896 -37.25063 -35.19704 -33.90286 -32.87037 -31.77474 -31.21892 -30.18186 -29.10830 -27.11054 -26.88506 -26.19827 -24.06603 -22.24420 -21.39552 -21.12781 -20.74018 -20.22525 -19.25301 -17.91769 -17.41708 -16.71282 -16.34416 -16.22029 -15.84719 -15.51318 -15.31688 -15.00283 -14.52650 -14.37032 -14.11897 -13.95423 -13.77758 -13.59673 -13.48768 -13.16686 -12.88278 -12.58870 -12.51045 -12.45637 -12.29214 -12.12417 -11.90794 -11.87005 -11.70115 -11.62082 -11.52390 -11.28289 -11.16760 -11.02329 -10.89373 -10.86478 -10.70786 -10.45945 -10.23067 -9.83033 -9.51984 -9.30480 -8.74588 -8.46599 -8.08696 -7.97960 -6.43651 -3.84584 2.40146 2.78649 3.18504 3.24242 3.28648 3.71518 3.88472 4.00737 4.22371 4.33319 4.34733 4.59544 4.62719 4.67501 4.76469 4.88309 4.89972 4.97670 4.99475 5.09255 5.17546 5.22933 5.23816 5.28342 5.35205 5.36749 5.47944 5.50101 5.54921 5.63940 5.70571 5.71466 5.76111 5.83116 5.85183 5.86957 5.94933 5.96860 6.03926 6.07838 6.24629 6.31382 6.39972 6.53933 6.56057 7.23160 7.25276 7.53081 7.66104 8.01315 8.04213 8.59253 9.15814 9.52199 10.03705 10.74048 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.012091 B = 0.002073 C = 0.001846 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2315.227016 B =13503.768827 C =15167.999832 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.085 3.915 3 H 0.040 0.960 4 C -0.129 4.129 5 C 0.143 3.857 6 H 0.094 0.906 7 C -0.162 4.162 8 N -0.725 5.725 9 C 0.516 3.484 10 O -0.525 6.525 11 C 0.024 3.976 12 N -0.502 5.502 13 C 0.030 3.970 14 C -0.126 4.126 15 C -0.132 4.132 16 C 0.033 3.967 17 N -0.664 5.664 18 C 0.052 3.948 19 C 0.440 3.560 20 O -0.583 6.583 21 N -0.564 5.564 22 C -0.300 4.300 23 H 0.102 0.898 24 C 0.022 3.978 25 N -0.903 5.903 26 Si 0.931 3.069 27 H -0.274 1.274 28 H -0.284 1.284 29 H -0.273 1.273 30 H 0.053 0.947 31 H 0.053 0.947 32 H 0.063 0.937 33 H 0.090 0.910 34 H 0.068 0.932 35 H 0.056 0.944 36 H 0.060 0.940 37 H 0.067 0.933 38 H 0.399 0.601 39 H 0.065 0.935 40 H 0.104 0.896 41 H 0.112 0.888 42 H 0.038 0.962 43 H 0.070 0.930 44 H 0.074 0.926 45 H 0.066 0.934 46 H 0.071 0.929 47 H 0.045 0.955 48 H 0.080 0.920 49 H 0.348 0.652 50 H 0.041 0.959 51 H 0.084 0.916 52 H 0.392 0.608 53 H 0.272 0.728 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.934 9.453 -23.124 25.057 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 -0.025 4.025 3 H 0.058 0.942 4 C -0.167 4.167 5 C 0.039 3.961 6 H 0.112 0.888 7 C -0.221 4.221 8 N -0.377 5.377 9 C 0.301 3.699 10 O -0.401 6.401 11 C -0.107 4.107 12 N -0.226 5.226 13 C -0.097 4.097 14 C -0.164 4.164 15 C -0.170 4.170 16 C -0.095 4.095 17 N -0.298 5.298 18 C -0.081 4.081 19 C 0.226 3.774 20 O -0.467 6.467 21 N -0.201 5.201 22 C -0.429 4.429 23 H 0.120 0.880 24 C -0.180 4.180 25 N -0.544 5.544 26 Si 0.758 3.242 27 H -0.199 1.199 28 H -0.210 1.210 29 H -0.199 1.199 30 H 0.073 0.927 31 H 0.072 0.928 32 H 0.082 0.918 33 H 0.109 0.891 34 H 0.087 0.913 35 H 0.075 0.925 36 H 0.079 0.921 37 H 0.086 0.914 38 H 0.233 0.767 39 H 0.083 0.917 40 H 0.122 0.878 41 H 0.130 0.870 42 H 0.056 0.944 43 H 0.089 0.911 44 H 0.093 0.907 45 H 0.085 0.915 46 H 0.090 0.910 47 H 0.064 0.936 48 H 0.098 0.902 49 H 0.168 0.832 50 H 0.059 0.941 51 H 0.103 0.897 52 H 0.225 0.775 53 H 0.082 0.918 Dipole moment (debyes) X Y Z Total from point charges -3.064 8.274 -23.810 25.392 hybrid contribution 1.486 1.092 1.896 2.644 sum -1.578 9.366 -21.915 23.884 Atomic orbital electron populations 1.21852 0.94635 1.02481 1.01023 1.21503 0.96281 0.95595 0.89147 0.94234 1.22093 1.01554 1.00242 0.92847 1.21035 0.98524 0.82004 0.94575 0.88767 1.22164 1.01673 1.00391 0.97833 1.46122 1.27078 1.10387 1.54158 1.20431 0.85405 0.85532 0.78492 1.90640 1.22921 1.84202 1.42300 1.22253 0.98897 0.91364 0.98211 1.64701 1.02650 1.03816 1.51469 1.23537 0.89387 0.98781 0.97948 1.22527 0.97185 0.94713 1.02015 1.22399 0.94612 0.97854 1.02136 1.22941 0.97621 0.88243 1.00651 1.60110 1.34401 1.32554 1.02689 1.21701 1.01162 0.93827 0.91368 1.19821 0.84944 0.88204 0.84443 1.90519 1.55154 1.16235 1.84806 1.41867 1.57742 1.12560 1.07893 1.19657 1.39980 0.96570 0.86733 0.87969 1.25265 0.97648 0.95797 0.99241 1.69605 1.48568 1.09018 1.27196 0.85913 0.79418 0.78859 0.80009 1.19913 1.20974 1.19853 0.92743 0.92778 0.91805 0.89147 0.91289 0.92492 0.92092 0.91440 0.76693 0.91666 0.87762 0.86961 0.94397 0.91110 0.90747 0.91486 0.90982 0.93639 0.90164 0.83186 0.94141 0.89743 0.77503 0.91816 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 -1.69 9.19 37.16 0.34 -1.34 16 2 C 0.08 0.98 2.63 -67.71 -0.18 0.80 16 3 H 0.04 0.45 7.24 -51.93 -0.38 0.07 16 4 C -0.13 -1.18 4.27 -26.73 -0.11 -1.30 16 5 C 0.14 1.26 2.46 -67.93 -0.17 1.09 16 6 H 0.09 0.99 5.81 -51.93 -0.30 0.69 16 7 C -0.16 -1.33 9.49 37.16 0.35 -0.98 16 8 N -0.72 -5.85 4.40 -53.81 -0.24 -6.08 16 9 C 0.52 5.08 7.51 -10.98 -0.08 5.00 16 10 O -0.52 -6.87 13.17 5.56 0.07 -6.80 16 11 C 0.02 0.19 5.52 -4.97 -0.03 0.17 16 12 N -0.50 -4.70 5.26 -231.89 -1.22 -5.92 16 13 C 0.03 0.30 5.30 -1.90 -0.01 0.29 16 14 C -0.13 -0.99 7.06 -24.86 -0.18 -1.17 16 15 C -0.13 -0.90 6.93 -25.37 -0.18 -1.08 16 16 C 0.03 0.25 6.70 -2.75 -0.02 0.23 16 17 N -0.66 -10.27 5.93 -107.99 -0.64 -10.91 16 18 C 0.05 0.91 5.97 -4.98 -0.03 0.88 16 19 C 0.44 10.33 7.82 -10.98 -0.09 10.24 16 20 O -0.58 -15.73 15.78 5.55 0.09 -15.65 16 21 N -0.56 -14.25 5.29 -10.96 -0.06 -14.31 16 22 C -0.30 -8.34 9.68 -14.93 -0.14 -8.49 16 23 H 0.10 2.98 7.16 -52.49 -0.38 2.60 16 24 C 0.02 0.59 5.50 -17.47 -0.10 0.49 16 25 N -0.90 -24.47 13.05 55.50 0.72 -23.75 16 26 Si 0.93 20.98 29.55 -169.99 -5.02 15.96 16 27 H -0.27 -6.11 7.11 56.52 0.40 -5.71 16 28 H -0.28 -6.25 7.11 56.52 0.40 -5.85 16 29 H -0.27 -6.13 7.11 56.52 0.40 -5.73 16 30 H 0.05 0.69 7.43 -51.93 -0.39 0.31 16 31 H 0.05 0.59 6.50 -51.93 -0.34 0.25 16 32 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 33 H 0.09 0.86 8.14 -51.93 -0.42 0.44 16 34 H 0.07 0.58 8.00 -51.92 -0.42 0.17 16 35 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 37 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 38 H 0.40 2.47 8.61 -40.82 -0.35 2.12 16 39 H 0.07 0.46 7.81 -51.93 -0.41 0.05 16 40 H 0.10 0.66 8.14 -51.93 -0.42 0.23 16 41 H 0.11 1.34 5.97 -51.93 -0.31 1.03 16 42 H 0.04 0.38 8.02 -51.93 -0.42 -0.03 16 43 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 44 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 45 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 46 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 47 H 0.05 0.31 7.57 -51.93 -0.39 -0.09 16 48 H 0.08 0.54 8.14 -51.93 -0.42 0.12 16 49 H 0.35 5.47 7.97 -39.29 -0.31 5.16 16 50 H 0.04 0.63 8.06 -51.93 -0.42 0.21 16 51 H 0.08 1.40 7.41 -51.93 -0.38 1.02 16 52 H 0.39 9.46 7.90 -40.82 -0.32 9.14 16 53 H 0.27 6.99 8.31 -40.82 -0.34 6.65 16 LS Contribution 419.11 15.07 6.32 6.32 Total: -1.00 -32.74 419.11 -9.88 -42.62 By element: Atomic # 1 Polarization: 22.99 SS G_CDS: -9.29 Total: 13.69 kcal Atomic # 6 Polarization: 5.44 SS G_CDS: -0.61 Total: 4.83 kcal Atomic # 7 Polarization: -59.54 SS G_CDS: -1.43 Total: -60.97 kcal Atomic # 8 Polarization: -22.61 SS G_CDS: 0.16 Total: -22.45 kcal Atomic # 14 Polarization: 20.98 SS G_CDS: -5.02 Total: 15.96 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -32.74 -9.88 -42.62 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. ZINC001146336305.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 -28.776 kcal (2) G-P(sol) polarization free energy of solvation -32.741 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -61.516 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.882 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.623 kcal (6) G-S(sol) free energy of system = (1) + (5) -71.399 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds