Wall clock time and date at job start Sat Apr 11 2020 06:13:24 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 1.53007 * 1 3 3 C 1.52995 * 109.46787 * 2 1 4 4 H 1.09002 * 109.47513 * 304.91968 * 3 2 1 5 5 C 1.50701 * 109.46866 * 184.92670 * 3 2 1 6 6 O 1.21280 * 119.99912 * 259.55014 * 5 3 2 7 7 N 1.34776 * 120.00096 * 79.55309 * 5 3 2 8 8 C 1.46496 * 120.00227 * 359.97438 * 7 5 3 9 9 C 1.46500 * 120.00121 * 179.97438 * 7 5 3 10 10 H 1.09004 * 110.90242 * 356.13409 * 9 7 5 11 11 C 1.55433 * 111.10571 * 232.17369 * 9 7 5 12 12 C 1.54329 * 103.04238 * 206.29713 * 11 9 7 13 13 N 1.47435 * 107.23279 * 22.28276 * 12 11 9 14 14 C 1.46904 * 110.99983 * 123.26253 * 13 12 11 15 15 C 1.50696 * 109.47179 * 49.15222 * 14 13 12 16 16 O 1.21292 * 120.00274 * 359.97438 * 15 14 13 17 17 N 1.34781 * 120.00031 * 180.02562 * 15 14 13 18 18 C 1.37095 * 120.00375 * 179.97438 * 17 15 14 19 19 H 1.08004 * 119.99508 * 359.97438 * 18 17 15 20 20 C 1.38945 * 120.00063 * 179.97438 * 18 17 15 21 21 N 1.31407 * 120.00528 * 359.97438 * 20 18 17 22 22 Si 1.86809 * 119.99848 * 179.97438 * 20 18 17 23 23 H 1.48495 * 109.46996 * 90.00021 * 22 20 18 24 24 H 1.48496 * 109.47060 * 210.00242 * 22 20 18 25 25 H 1.48497 * 109.47092 * 330.00366 * 22 20 18 26 26 C 1.47843 * 108.57223 * 0.99081 * 13 12 11 27 27 N 1.46900 * 109.47635 * 64.92720 * 3 2 1 28 28 C 1.46900 * 110.99733 * 275.51083 * 27 3 2 29 29 C 1.46900 * 110.99702 * 39.46235 * 27 3 2 30 30 H 1.08999 * 109.47255 * 281.77451 * 1 2 3 31 31 H 1.09001 * 109.46641 * 41.77703 * 1 2 3 32 32 H 1.09003 * 109.46649 * 161.77600 * 1 2 3 33 33 H 1.08996 * 109.47101 * 239.99466 * 2 1 3 34 34 H 1.09006 * 109.46806 * 119.99649 * 2 1 3 35 35 H 1.09004 * 109.47516 * 270.00340 * 8 7 5 36 36 H 1.09011 * 109.47137 * 30.00285 * 8 7 5 37 37 H 1.09001 * 109.47693 * 149.99942 * 8 7 5 38 38 H 1.08999 * 110.69482 * 87.90680 * 11 9 7 39 39 H 1.08996 * 110.84280 * 324.75064 * 11 9 7 40 40 H 1.08996 * 109.88425 * 262.87618 * 12 11 9 41 41 H 1.09000 * 109.88193 * 141.69145 * 12 11 9 42 42 H 1.09001 * 109.47500 * 169.15499 * 14 13 12 43 43 H 1.09010 * 109.46769 * 289.15445 * 14 13 12 44 44 H 0.97005 * 119.99648 * 0.02562 * 17 15 14 45 45 H 0.96996 * 120.00466 * 179.97438 * 21 20 18 46 46 H 1.09001 * 110.37399 * 94.73134 * 26 13 12 47 47 H 1.09001 * 110.37554 * 216.96694 * 26 13 12 48 48 H 1.09000 * 109.47417 * 67.74071 * 28 27 3 49 49 H 1.09001 * 109.47206 * 187.74344 * 28 27 3 50 50 H 1.09001 * 109.47033 * 307.74033 * 28 27 3 51 51 H 1.08993 * 109.47065 * 51.51117 * 29 27 3 52 52 H 1.09001 * 109.46885 * 171.50822 * 29 27 3 53 53 H 1.09002 * 109.47138 * 291.50296 * 29 27 3 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 1.5301 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 1 1.6065 1.9812 -0.8426 5 6 3.5420 1.4442 -0.1220 6 8 4.2303 1.6058 0.8634 7 7 4.1205 1.2663 -1.3262 8 6 3.2892 1.0707 -2.5165 9 6 5.5807 1.2686 -1.4450 10 1 6.0485 1.4928 -0.4863 11 6 6.0516 2.2650 -2.5411 12 6 7.4032 1.6727 -2.9927 13 7 7.3938 0.2419 -2.6371 14 6 7.6295 -0.5963 -3.8203 15 6 8.8320 -0.0818 -4.5688 16 8 9.4333 0.8879 -4.1574 17 7 9.2388 -0.6987 -5.6960 18 6 10.3325 -0.2304 -6.3773 19 1 10.8678 0.6331 -6.0109 20 6 10.7521 -0.8667 -7.5390 21 7 10.1011 -1.9177 -7.9845 22 14 12.2419 -0.2282 -8.4677 23 1 13.4667 -0.8942 -7.9564 24 1 12.0862 -0.5217 -9.9150 25 1 12.3571 1.2390 -8.2698 26 6 6.0935 -0.0791 -2.0109 27 7 1.6499 2.0999 1.2544 28 6 0.2854 2.6367 1.1652 29 6 1.7807 1.1810 2.3931 30 1 -0.3634 0.2097 1.0060 31 1 -0.3632 0.7664 -0.6847 32 1 -0.3633 -0.9762 -0.3214 33 1 1.8934 -0.5139 -0.8899 34 1 1.8934 -0.5138 0.8901 35 1 3.0973 0.0066 -2.6549 36 1 2.3431 1.5970 -2.3895 37 1 3.8085 1.4629 -3.3910 38 1 6.1884 3.2620 -2.1223 39 1 5.3455 2.2905 -3.3711 40 1 8.2200 2.1776 -2.4771 41 1 7.5159 1.7861 -4.0709 42 1 7.8091 -1.6248 -3.5071 43 1 6.7549 -0.5618 -4.4700 44 1 8.7573 -1.4736 -6.0256 45 1 10.3939 -2.3617 -8.7956 46 1 5.3989 -0.4667 -2.7562 47 1 6.2280 -0.8020 -1.2062 48 1 -0.4258 1.8130 1.1026 49 1 0.0715 3.2348 2.0510 50 1 0.1978 3.2606 0.2758 51 1 2.7759 0.7365 2.3887 52 1 1.6324 1.7308 3.3225 53 1 1.0308 0.3940 2.3129 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 ZINC001494862113.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 06:13:24 Heat of formation + Delta-G solvation = -30.333058 kcal Electronic energy + Delta-G solvation = -30898.293019 eV Core-core repulsion = 26806.308171 eV Total energy + Delta-G solvation = -4091.984848 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.66 seconds Orbital eigenvalues (eV) -40.81352 -39.36973 -38.12690 -37.17805 -35.32551 -33.91642 -32.71084 -31.49091 -31.01181 -29.13465 -28.32805 -27.92634 -27.18767 -26.26968 -24.23978 -23.31898 -22.37611 -20.96291 -20.51996 -19.28760 -18.93368 -17.85918 -17.73321 -16.80552 -16.31031 -15.87809 -15.77200 -15.55958 -15.08300 -14.87776 -14.56184 -14.51752 -14.02967 -13.90612 -13.60799 -13.33566 -13.22723 -13.14375 -13.04793 -12.91534 -12.75107 -12.42367 -12.30144 -12.18224 -12.02324 -11.94691 -11.82858 -11.66435 -11.54743 -11.49868 -11.26584 -11.23334 -11.11778 -10.89350 -10.47590 -10.40610 -10.23790 -9.78860 -9.49843 -8.81645 -8.52477 -8.31334 -7.97851 -7.93408 -6.43994 -3.84794 2.45763 2.63884 3.16508 3.25410 3.31085 3.65988 3.87226 4.09590 4.16884 4.32342 4.36355 4.43672 4.63043 4.66508 4.76341 4.85636 4.88598 4.91626 5.01530 5.06625 5.11225 5.14857 5.19350 5.23409 5.27446 5.29550 5.35681 5.37903 5.45772 5.48966 5.53509 5.60609 5.70551 5.72119 5.81287 5.83870 5.87834 6.01414 6.06128 6.22833 6.32109 6.39748 6.58701 6.64840 6.69261 7.22203 7.29549 7.31741 7.53192 8.03525 8.06774 8.58514 9.15349 9.51261 10.02318 10.73628 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.030641 B = 0.001957 C = 0.001910 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 913.577447 B =14303.760670 C =14655.594545 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.156 4.156 2 C -0.153 4.153 3 C 0.067 3.933 4 H 0.102 0.898 5 C 0.523 3.477 6 O -0.521 6.521 7 N -0.606 5.606 8 C 0.070 3.930 9 C 0.133 3.867 10 H 0.116 0.884 11 C -0.160 4.160 12 C 0.066 3.934 13 N -0.507 5.507 14 C 0.041 3.959 15 C 0.439 3.561 16 O -0.579 6.579 17 N -0.562 5.562 18 C -0.299 4.299 19 H 0.103 0.897 20 C 0.022 3.978 21 N -0.901 5.901 22 Si 0.930 3.070 23 H -0.278 1.278 24 H -0.284 1.284 25 H -0.270 1.270 26 C 0.035 3.965 27 N -0.523 5.523 28 C 0.010 3.990 29 C 0.021 3.979 30 H 0.062 0.938 31 H 0.059 0.941 32 H 0.060 0.940 33 H 0.075 0.925 34 H 0.078 0.922 35 H 0.058 0.942 36 H 0.071 0.929 37 H 0.078 0.922 38 H 0.076 0.924 39 H 0.068 0.932 40 H 0.084 0.916 41 H 0.070 0.930 42 H 0.089 0.911 43 H 0.047 0.953 44 H 0.392 0.608 45 H 0.272 0.728 46 H 0.047 0.953 47 H 0.080 0.920 48 H 0.043 0.957 49 H 0.069 0.931 50 H 0.065 0.935 51 H 0.080 0.920 52 H 0.066 0.934 53 H 0.030 0.970 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -23.895 3.007 13.041 27.388 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 -0.213 4.213 2 C -0.192 4.192 3 C -0.046 4.046 4 H 0.119 0.881 5 C 0.310 3.690 6 O -0.395 6.395 7 N -0.340 5.340 8 C -0.073 4.073 9 C 0.029 3.971 10 H 0.134 0.866 11 C -0.199 4.199 12 C -0.062 4.062 13 N -0.232 5.232 14 C -0.090 4.090 15 C 0.225 3.775 16 O -0.464 6.464 17 N -0.198 5.198 18 C -0.428 4.428 19 H 0.121 0.879 20 C -0.179 4.179 21 N -0.543 5.543 22 Si 0.757 3.243 23 H -0.204 1.204 24 H -0.209 1.209 25 H -0.194 1.194 26 C -0.094 4.094 27 N -0.246 5.246 28 C -0.138 4.138 29 C -0.127 4.127 30 H 0.081 0.919 31 H 0.078 0.922 32 H 0.079 0.921 33 H 0.093 0.907 34 H 0.097 0.903 35 H 0.077 0.923 36 H 0.090 0.910 37 H 0.096 0.904 38 H 0.094 0.906 39 H 0.087 0.913 40 H 0.103 0.897 41 H 0.088 0.912 42 H 0.107 0.893 43 H 0.065 0.935 44 H 0.225 0.775 45 H 0.081 0.919 46 H 0.065 0.935 47 H 0.099 0.901 48 H 0.061 0.939 49 H 0.088 0.912 50 H 0.084 0.916 51 H 0.099 0.901 52 H 0.085 0.915 53 H 0.048 0.952 Dipole moment (debyes) X Y Z Total from point charges -22.349 3.933 14.105 26.718 hybrid contribution -0.796 -0.871 -1.700 2.069 sum -23.144 3.063 12.405 26.437 Atomic orbital electron populations 1.22067 0.94869 1.02294 1.02047 1.22164 0.96873 0.96137 1.04053 1.21803 0.92842 0.95278 0.94629 0.88070 1.20456 0.89994 0.75927 0.82606 1.90674 1.64633 1.47751 1.36456 1.47744 1.06491 1.72247 1.07540 1.21900 0.95247 1.01546 0.88640 1.22291 0.78744 0.95017 1.01025 0.86619 1.23377 0.98790 0.99641 0.98083 1.22721 0.94682 0.87287 1.01514 1.63358 1.29170 1.04387 1.26239 1.22093 0.97304 0.98421 0.91228 1.19733 0.87713 0.86750 0.83307 1.90537 1.58457 1.28764 1.68619 1.41865 1.27687 1.28651 1.21629 1.19701 1.05156 1.13136 1.04838 0.87872 1.25267 0.99292 0.96002 0.97385 1.69607 1.40673 1.20190 1.23790 0.85854 0.80921 0.79303 0.78196 1.20365 1.20949 1.19416 1.23358 0.90079 0.97090 0.98859 1.61782 1.24482 1.36279 1.02079 1.22776 0.88462 0.99715 1.02810 1.22535 1.02207 0.94850 0.93067 0.91950 0.92225 0.92126 0.90650 0.90319 0.92308 0.91002 0.90380 0.90557 0.91343 0.89724 0.91188 0.89269 0.93528 0.77470 0.91857 0.93482 0.90133 0.93882 0.91204 0.91580 0.90081 0.91507 0.95203 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 -0.16 -0.77 8.15 37.16 0.30 -0.47 16 2 C -0.15 -1.03 4.79 -26.73 -0.13 -1.16 16 3 C 0.07 0.56 1.57 -68.87 -0.11 0.45 16 4 H 0.10 0.70 5.78 -51.93 -0.30 0.40 16 5 C 0.52 6.16 6.84 -10.99 -0.08 6.08 16 6 O -0.52 -8.15 14.31 5.56 0.08 -8.07 16 7 N -0.61 -6.44 2.91 -171.30 -0.50 -6.94 16 8 C 0.07 0.51 8.49 59.84 0.51 1.02 16 9 C 0.13 1.71 3.46 -65.63 -0.23 1.49 16 10 H 0.12 1.75 7.02 -51.93 -0.36 1.38 16 11 C -0.16 -2.09 6.49 -24.74 -0.16 -2.25 16 12 C 0.07 1.12 5.03 -2.83 -0.01 1.10 16 13 N -0.51 -8.62 5.21 -232.68 -1.21 -9.83 16 14 C 0.04 0.73 5.55 -4.98 -0.03 0.71 16 15 C 0.44 10.24 7.05 -10.99 -0.08 10.16 16 16 O -0.58 -15.28 13.38 5.55 0.07 -15.21 16 17 N -0.56 -14.08 5.29 -10.96 -0.06 -14.13 16 18 C -0.30 -8.24 9.68 -14.94 -0.14 -8.39 16 19 H 0.10 2.99 7.16 -52.48 -0.38 2.61 16 20 C 0.02 0.59 5.50 -17.47 -0.10 0.49 16 21 N -0.90 -24.30 13.05 55.50 0.72 -23.57 16 22 Si 0.93 20.93 29.55 -169.99 -5.02 15.91 16 23 H -0.28 -6.21 7.11 56.52 0.40 -5.80 16 24 H -0.28 -6.25 7.11 56.52 0.40 -5.84 16 25 H -0.27 -6.05 7.11 56.52 0.40 -5.65 16 26 C 0.04 0.47 6.32 -2.30 -0.01 0.46 16 27 N -0.52 -4.78 4.62 -244.59 -1.13 -5.91 16 28 C 0.01 0.06 8.93 60.06 0.54 0.60 16 29 C 0.02 0.18 7.96 60.06 0.48 0.66 16 30 H 0.06 0.32 4.88 -51.93 -0.25 0.06 16 31 H 0.06 0.26 7.56 -51.93 -0.39 -0.13 16 32 H 0.06 0.27 8.14 -51.93 -0.42 -0.15 16 33 H 0.07 0.48 6.88 -51.93 -0.36 0.12 16 34 H 0.08 0.61 6.12 -51.93 -0.32 0.30 16 35 H 0.06 0.37 7.57 -51.93 -0.39 -0.02 16 36 H 0.07 0.38 5.95 -51.92 -0.31 0.08 16 37 H 0.08 0.60 5.94 -51.93 -0.31 0.29 16 38 H 0.08 0.97 8.14 -51.93 -0.42 0.55 16 39 H 0.07 0.80 5.97 -51.93 -0.31 0.49 16 40 H 0.08 1.60 7.96 -51.93 -0.41 1.18 16 41 H 0.07 1.35 6.12 -51.93 -0.32 1.03 16 42 H 0.09 1.48 8.14 -51.93 -0.42 1.05 16 43 H 0.05 0.74 7.82 -51.92 -0.41 0.34 16 44 H 0.39 9.39 7.90 -40.82 -0.32 9.07 16 45 H 0.27 6.93 8.31 -40.82 -0.34 6.59 16 46 H 0.05 0.56 6.74 -51.93 -0.35 0.21 16 47 H 0.08 1.08 8.14 -51.93 -0.42 0.65 16 48 H 0.04 0.22 4.45 -51.93 -0.23 -0.01 16 49 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 50 H 0.07 0.38 7.86 -51.93 -0.41 -0.03 16 51 H 0.08 0.88 6.38 -51.93 -0.33 0.55 16 52 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 53 H 0.03 0.21 5.31 -51.93 -0.28 -0.07 16 LS Contribution 393.99 15.07 5.94 5.94 Total: -1.00 -32.72 393.99 -8.76 -41.48 By element: Atomic # 1 Polarization: 17.78 SS G_CDS: -8.41 Total: 9.37 kcal Atomic # 6 Polarization: 10.21 SS G_CDS: 0.75 Total: 10.96 kcal Atomic # 7 Polarization: -58.21 SS G_CDS: -2.17 Total: -60.38 kcal Atomic # 8 Polarization: -23.43 SS G_CDS: 0.15 Total: -23.28 kcal Atomic # 14 Polarization: 20.93 SS G_CDS: -5.02 Total: 15.91 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -32.72 -8.76 -41.48 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. ZINC001494862113.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 11.146 kcal (2) G-P(sol) polarization free energy of solvation -32.716 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -21.570 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.763 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.479 kcal (6) G-S(sol) free energy of system = (1) + (5) -30.333 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.66 seconds