Wall clock time and date at job start Sat Apr 11 2020 06:11:13 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 1.52997 * 1 3 3 C 1.52996 * 109.47657 * 2 1 4 4 C 1.50706 * 109.46948 * 240.00094 * 2 1 3 5 5 H 1.08003 * 120.00061 * 239.99949 * 4 2 1 6 6 C 1.37873 * 120.00001 * 60.00211 * 4 2 1 7 7 N 1.31522 * 119.99925 * 0.02562 * 6 4 2 8 8 Si 1.86798 * 120.00178 * 180.02562 * 6 4 2 9 9 H 1.48499 * 109.47374 * 89.99916 * 8 6 4 10 10 H 1.48502 * 109.47360 * 210.00295 * 8 6 4 11 11 H 1.48498 * 109.47148 * 329.99791 * 8 6 4 12 12 C 1.52996 * 109.47083 * 120.00450 * 2 1 3 13 13 N 1.46501 * 109.47046 * 299.99673 * 12 2 1 14 14 C 1.34780 * 120.00038 * 179.97438 * 13 12 2 15 15 O 1.21346 * 120.00155 * 0.02562 * 14 13 12 16 16 C 1.49447 * 119.99807 * 179.97438 * 14 13 12 17 17 O 1.21342 * 120.00133 * 0.02562 * 16 14 13 18 18 N 1.34780 * 119.99807 * 180.02562 * 16 14 13 19 19 C 1.46501 * 120.00038 * 180.02562 * 18 16 14 20 20 C 1.52996 * 109.47046 * 180.02562 * 19 18 16 21 21 C 1.53007 * 109.46948 * 179.97438 * 20 19 18 22 22 O 1.42897 * 109.47093 * 179.97438 * 21 20 19 23 23 C 1.42898 * 114.00017 * 179.97438 * 22 21 20 24 24 C 1.54894 * 110.48190 * 93.24436 * 23 22 21 25 25 C 1.55238 * 102.58338 * 156.67678 * 24 23 22 26 26 C 1.54266 * 104.23333 * 322.08174 * 25 24 23 27 27 C 1.53869 * 106.59800 * 23.61579 * 26 25 24 28 28 H 1.09003 * 109.47270 * 299.99862 * 1 2 3 29 29 H 1.09001 * 109.47393 * 59.99812 * 1 2 3 30 30 H 1.08999 * 109.47141 * 179.97438 * 1 2 3 31 31 H 1.08999 * 109.47463 * 180.02562 * 3 2 1 32 32 H 1.09001 * 109.46872 * 300.00507 * 3 2 1 33 33 H 1.09003 * 109.46668 * 59.99769 * 3 2 1 34 34 H 0.96998 * 119.99924 * 179.97438 * 7 6 4 35 35 H 1.08999 * 109.47091 * 179.97438 * 12 2 1 36 36 H 1.08999 * 109.47607 * 59.99535 * 12 2 1 37 37 H 0.97003 * 119.99978 * 0.02562 * 13 12 2 38 38 H 0.97003 * 119.99984 * 0.02562 * 18 16 14 39 39 H 1.08999 * 109.47099 * 60.00301 * 19 18 16 40 40 H 1.08999 * 109.46805 * 300.00555 * 19 18 16 41 41 H 1.08999 * 109.47091 * 60.00094 * 20 19 18 42 42 H 1.08991 * 109.47437 * 299.99668 * 20 19 18 43 43 H 1.08999 * 109.47003 * 60.00218 * 21 20 19 44 44 H 1.08999 * 109.47000 * 300.00412 * 21 20 19 45 45 H 1.09002 * 110.43427 * 330.70321 * 23 22 21 46 46 H 1.08996 * 110.75388 * 275.06031 * 24 23 22 47 47 H 1.08993 * 110.76071 * 38.44257 * 24 23 22 48 48 H 1.09005 * 110.46917 * 203.39204 * 25 24 23 49 49 H 1.09007 * 110.58541 * 80.83124 * 25 24 23 50 50 H 1.08999 * 110.03060 * 264.32313 * 26 25 24 51 51 H 1.09006 * 110.06829 * 142.91691 * 26 25 24 52 52 H 1.09001 * 110.02983 * 240.71432 * 27 26 25 53 53 H 1.08996 * 110.07773 * 119.30576 * 27 26 25 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 2.0401 1.4424 0.0000 4 6 2.0323 -0.7104 -1.2305 5 1 2.6532 -1.5885 -1.1315 6 6 1.6992 -0.2393 -2.4827 7 7 0.9435 0.8303 -2.6034 8 14 2.3212 -1.1203 -4.0080 9 1 1.3426 -2.1616 -4.4120 10 1 2.4865 -0.1413 -5.1123 11 1 3.6291 -1.7583 -3.7124 12 6 2.0399 -0.7213 1.2492 13 7 1.5517 -0.0308 2.4454 14 6 1.8768 -0.4916 3.6695 15 8 2.5744 -1.4782 3.7808 16 6 1.3792 0.2132 4.8897 17 8 0.6820 1.2001 4.7784 18 7 1.7048 -0.2473 6.1138 19 6 1.2165 0.4433 7.3101 20 6 1.7270 -0.2777 8.5592 21 6 1.2175 0.4440 9.8085 22 8 1.6938 -0.2297 10.9753 23 6 1.2732 0.3672 12.2035 24 6 -0.0292 -0.2995 12.7121 25 6 0.0109 -0.0018 14.2352 26 6 1.5007 -0.1430 14.6101 27 6 2.3032 0.0917 13.3184 28 1 -0.3634 0.5138 0.8900 29 1 -0.3634 0.5139 -0.8900 30 1 -0.3633 -1.0277 -0.0005 31 1 3.1301 1.4424 -0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6767 1.9562 0.8900 34 1 0.7095 1.1620 -3.4843 35 1 3.1299 -0.7217 1.2489 36 1 1.6766 -1.7490 1.2492 37 1 0.9937 0.7578 2.3564 38 1 2.2624 -1.0360 6.2028 39 1 0.1265 0.4433 7.3101 40 1 1.5798 1.4709 7.3100 41 1 2.8170 -0.2773 8.5590 42 1 1.3640 -1.3054 8.5595 43 1 0.1275 0.4440 9.8090 44 1 1.5808 1.4716 9.8081 45 1 1.1277 1.4398 12.0752 46 1 -0.9035 0.1582 12.2495 47 1 -0.0108 -1.3736 12.5277 48 1 -0.5905 -0.7285 14.7815 49 1 -0.3390 1.0106 14.4372 50 1 1.6957 -1.1443 14.9943 51 1 1.7705 0.6027 15.3580 52 1 2.8877 -0.7957 13.0756 53 1 2.9624 0.9513 13.4384 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 ZINC000422278726.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 06:11:13 Heat of formation + Delta-G solvation = -145.191496 kcal Electronic energy + Delta-G solvation = -28798.825055 eV Core-core repulsion = 24669.566821 eV Total energy + Delta-G solvation = -4129.258234 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.73 seconds Orbital eigenvalues (eV) -40.41651 -39.43252 -38.42594 -36.88247 -36.48263 -35.49965 -33.36363 -32.04042 -30.89105 -29.21392 -28.26021 -26.76858 -25.72399 -25.61780 -25.06948 -22.98639 -22.07320 -21.20570 -20.72440 -20.11919 -18.98877 -18.21276 -17.53709 -16.67066 -16.54766 -16.17641 -15.91347 -15.67307 -15.44602 -14.92782 -14.87432 -14.59633 -14.40790 -13.94525 -13.72147 -13.58293 -13.46033 -12.97377 -12.93240 -12.68939 -12.23846 -12.22514 -12.09167 -11.77942 -11.70069 -11.61519 -11.44545 -11.40284 -11.34235 -11.18101 -11.07954 -10.92498 -10.88241 -10.70597 -10.40095 -10.20191 -9.90011 -9.65498 -9.55663 -9.36725 -9.23808 -8.80523 -8.60579 -8.37221 -6.02748 -4.13564 1.64356 2.47957 3.20687 3.28093 3.35298 3.38834 3.46542 3.93584 4.07569 4.12042 4.39004 4.39395 4.50616 4.59420 4.68750 4.76872 4.82965 4.93756 4.98262 5.01071 5.06604 5.15105 5.18225 5.23958 5.27744 5.37989 5.43310 5.55748 5.60332 5.65498 5.70914 5.74855 5.82573 6.09883 6.11201 6.23339 6.46817 6.62746 6.82008 6.83837 6.84974 6.93736 7.00151 7.08054 7.33107 7.54900 7.66181 7.70744 7.95799 7.99912 8.12383 8.31958 8.40876 8.86622 9.52400 10.98673 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.044596 B = 0.001372 C = 0.001357 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 627.712250 B =20397.135342 C =20634.649806 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C 0.054 3.946 3 C -0.133 4.133 4 C -0.507 4.507 5 H 0.058 0.942 6 C 0.067 3.933 7 N -0.884 5.884 8 Si 0.894 3.106 9 H -0.281 1.281 10 H -0.287 1.287 11 H -0.274 1.274 12 C 0.128 3.872 13 N -0.680 5.680 14 C 0.496 3.504 15 O -0.535 6.535 16 C 0.508 3.492 17 O -0.520 6.520 18 N -0.706 5.706 19 C 0.121 3.879 20 C -0.132 4.132 21 C 0.067 3.933 22 O -0.379 6.379 23 C 0.083 3.917 24 C -0.148 4.148 25 C -0.124 4.124 26 C -0.123 4.123 27 C -0.123 4.123 28 H 0.008 0.992 29 H 0.087 0.913 30 H 0.027 0.973 31 H 0.027 0.973 32 H 0.087 0.913 33 H 0.008 0.992 34 H 0.260 0.740 35 H 0.062 0.938 36 H 0.062 0.938 37 H 0.411 0.589 38 H 0.414 0.586 39 H 0.074 0.926 40 H 0.074 0.926 41 H 0.081 0.919 42 H 0.081 0.919 43 H 0.053 0.947 44 H 0.053 0.947 45 H 0.067 0.933 46 H 0.067 0.933 47 H 0.078 0.922 48 H 0.068 0.932 49 H 0.066 0.934 50 H 0.067 0.933 51 H 0.066 0.934 52 H 0.077 0.923 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.054 0.804 30.994 31.023 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 -0.191 4.191 2 C 0.054 3.946 3 C -0.190 4.190 4 C -0.546 4.546 5 H 0.077 0.923 6 C -0.135 4.135 7 N -0.523 5.523 8 Si 0.722 3.278 9 H -0.207 1.207 10 H -0.213 1.213 11 H -0.199 1.199 12 C 0.006 3.994 13 N -0.332 5.332 14 C 0.275 3.725 15 O -0.414 6.414 16 C 0.289 3.711 17 O -0.395 6.395 18 N -0.360 5.360 19 C -0.003 4.003 20 C -0.170 4.170 21 C -0.011 4.011 22 O -0.298 6.298 23 C 0.025 3.975 24 C -0.186 4.186 25 C -0.162 4.162 26 C -0.161 4.161 27 C -0.161 4.161 28 H 0.027 0.973 29 H 0.105 0.895 30 H 0.046 0.954 31 H 0.047 0.953 32 H 0.105 0.895 33 H 0.027 0.973 34 H 0.071 0.929 35 H 0.080 0.920 36 H 0.080 0.920 37 H 0.248 0.752 38 H 0.250 0.750 39 H 0.092 0.908 40 H 0.092 0.908 41 H 0.100 0.900 42 H 0.100 0.900 43 H 0.071 0.929 44 H 0.072 0.928 45 H 0.085 0.915 46 H 0.086 0.914 47 H 0.096 0.904 48 H 0.087 0.913 49 H 0.085 0.915 50 H 0.085 0.915 51 H 0.084 0.916 52 H 0.096 0.904 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges -1.025 0.784 30.801 30.828 hybrid contribution 0.122 -0.212 -0.813 0.849 sum -0.903 0.572 29.988 30.007 Atomic orbital electron populations 1.21849 0.97555 0.99277 1.00373 1.18397 0.93015 0.92912 0.90296 1.21847 0.98612 0.98216 1.00375 1.20948 1.31696 1.12167 0.89767 0.92349 1.24878 0.94827 0.94887 0.98859 1.69810 1.36547 1.22619 1.23294 0.86558 0.79294 0.79371 0.82559 1.20707 1.21258 1.19902 1.21945 0.98569 0.96038 0.82828 1.46227 1.50394 1.31386 1.05153 1.19936 0.82421 0.85230 0.84911 1.90726 1.37920 1.25955 1.86760 1.20487 0.80970 0.84671 0.84960 1.90754 1.36526 1.25397 1.86863 1.45686 1.53229 1.32404 1.04730 1.21258 0.99813 0.96508 0.82688 1.21683 1.02697 1.00820 0.91800 1.22353 0.98253 0.95531 0.84924 1.87903 1.74505 1.54198 1.13186 1.23032 0.93894 0.96370 0.84180 1.23062 0.97674 1.02046 0.95784 1.22337 0.96521 1.01782 0.95571 1.22085 0.94893 1.02069 0.97027 1.22188 0.97727 1.02860 0.93334 0.97282 0.89457 0.95351 0.95344 0.89452 0.97281 0.92943 0.91972 0.91983 0.75178 0.74981 0.90789 0.90796 0.90041 0.90035 0.92878 0.92850 0.91491 0.91399 0.90351 0.91314 0.91484 0.91461 0.91568 0.90408 0.91260 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 -0.13 -3.03 8.08 37.16 0.30 -2.73 16 2 C 0.05 1.27 0.50 -155.66 -0.08 1.19 16 3 C -0.13 -3.03 8.08 37.16 0.30 -2.73 16 4 C -0.51 -13.14 8.01 -34.44 -0.28 -13.42 16 5 H 0.06 1.51 7.74 -52.48 -0.41 1.11 16 6 C 0.07 1.75 5.15 -17.82 -0.09 1.66 16 7 N -0.88 -23.55 9.35 55.43 0.52 -23.03 16 8 Si 0.89 20.57 29.54 -169.99 -5.02 15.55 16 9 H -0.28 -6.47 7.11 56.52 0.40 -6.06 16 10 H -0.29 -6.59 7.11 56.52 0.40 -6.19 16 11 H -0.27 -6.29 7.11 56.52 0.40 -5.89 16 12 C 0.13 2.68 4.50 -4.04 -0.02 2.66 16 13 N -0.68 -12.65 4.95 -60.73 -0.30 -12.95 16 14 C 0.50 8.68 7.89 -11.58 -0.09 8.59 16 15 O -0.54 -10.23 16.48 5.50 0.09 -10.14 16 16 C 0.51 7.72 7.89 -11.58 -0.09 7.63 16 17 O -0.52 -8.92 16.48 5.50 0.09 -8.83 16 18 N -0.71 -8.09 5.55 -60.73 -0.34 -8.42 16 19 C 0.12 1.07 5.67 -4.04 -0.02 1.05 16 20 C -0.13 -0.93 5.70 -26.73 -0.15 -1.09 16 21 C 0.07 0.45 5.79 37.16 0.22 0.67 16 22 O -0.38 -3.15 10.05 -35.23 -0.35 -3.50 16 23 C 0.08 0.54 3.33 -25.07 -0.08 0.46 16 24 C -0.15 -0.87 6.65 -24.55 -0.16 -1.03 16 25 C -0.12 -0.59 6.84 -24.88 -0.17 -0.76 16 26 C -0.12 -0.58 6.80 -25.62 -0.17 -0.76 16 27 C -0.12 -0.72 6.56 -25.62 -0.17 -0.89 16 28 H 0.01 0.17 6.86 -51.93 -0.36 -0.18 16 29 H 0.09 2.20 6.07 -51.93 -0.32 1.88 16 30 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 31 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 32 H 0.09 2.20 6.07 -51.93 -0.32 1.88 16 33 H 0.01 0.17 6.86 -51.93 -0.36 -0.18 16 34 H 0.26 6.70 8.31 -40.82 -0.34 6.36 16 35 H 0.06 1.33 8.14 -51.93 -0.42 0.91 16 36 H 0.06 1.33 8.14 -51.93 -0.42 0.91 16 37 H 0.41 7.52 5.64 -40.82 -0.23 7.29 16 38 H 0.41 4.28 7.94 -40.82 -0.32 3.96 16 39 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 40 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 41 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 42 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 44 H 0.05 0.32 8.10 -51.93 -0.42 -0.10 16 45 H 0.07 0.39 7.84 -51.93 -0.41 -0.02 16 46 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 47 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 48 H 0.07 0.29 8.14 -51.93 -0.42 -0.13 16 49 H 0.07 0.28 8.14 -51.93 -0.42 -0.14 16 50 H 0.07 0.31 8.14 -51.93 -0.42 -0.12 16 51 H 0.07 0.26 8.14 -51.93 -0.42 -0.16 16 52 H 0.08 0.52 8.07 -51.93 -0.42 0.10 16 53 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 LS Contribution 420.93 15.07 6.34 6.34 Total: -1.00 -28.98 420.93 -9.19 -38.17 By element: Atomic # 1 Polarization: 15.76 SS G_CDS: -9.45 Total: 6.31 kcal Atomic # 6 Polarization: 1.26 SS G_CDS: -0.77 Total: 0.50 kcal Atomic # 7 Polarization: -44.28 SS G_CDS: -0.12 Total: -44.40 kcal Atomic # 8 Polarization: -22.30 SS G_CDS: -0.17 Total: -22.47 kcal Atomic # 14 Polarization: 20.57 SS G_CDS: -5.02 Total: 15.55 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -28.98 -9.19 -38.17 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. ZINC000422278726.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 -107.025 kcal (2) G-P(sol) polarization free energy of solvation -28.981 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -136.006 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.185 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.167 kcal (6) G-S(sol) free energy of system = (1) + (5) -145.191 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.73 seconds