Wall clock time and date at job start Sat Apr 11 2020 06:11:33 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 1.52992 * 1 3 3 C 1.52996 * 109.47443 * 2 1 4 4 C 1.53004 * 109.47053 * 240.00031 * 2 1 3 5 5 C 1.53001 * 109.47535 * 120.00259 * 2 1 3 6 6 H 1.08992 * 109.47290 * 185.22210 * 5 2 1 7 7 N 1.46502 * 109.46834 * 305.22270 * 5 2 1 8 8 C 1.34775 * 119.99893 * 274.99595 * 7 5 2 9 9 N 1.34777 * 119.99798 * 179.97438 * 8 7 5 10 10 O 1.21578 * 120.00210 * 0.02562 * 8 7 5 11 11 C 1.50701 * 109.47006 * 65.21939 * 5 2 1 12 12 O 1.21279 * 120.00118 * 272.44008 * 11 5 2 13 13 N 1.34778 * 120.00176 * 92.44131 * 11 5 2 14 14 C 1.46926 * 120.62524 * 354.84044 * 13 11 5 15 15 C 1.53197 * 108.77206 * 126.41362 * 14 13 11 16 16 C 1.53041 * 109.31379 * 54.63512 * 15 14 13 17 17 C 1.53038 * 109.53761 * 298.63580 * 16 15 14 18 18 H 1.08994 * 109.49687 * 301.37767 * 17 16 15 19 19 C 1.52999 * 109.49766 * 181.31616 * 17 16 15 20 20 N 1.46495 * 109.47085 * 64.99708 * 19 17 16 21 21 C 1.36944 * 119.99900 * 179.97438 * 20 19 17 22 22 H 1.07998 * 119.99672 * 0.02562 * 21 20 19 23 23 C 1.38804 * 120.00120 * 180.02562 * 21 20 19 24 24 N 1.31625 * 119.99884 * 0.02562 * 23 21 20 25 25 Si 1.86800 * 120.00153 * 180.02562 * 23 21 20 26 26 H 1.48504 * 109.47193 * 180.02562 * 25 23 21 27 27 H 1.48496 * 109.47079 * 299.99898 * 25 23 21 28 28 H 1.48497 * 109.47199 * 60.00170 * 25 23 21 29 29 C 1.46922 * 120.63443 * 174.86299 * 13 11 5 30 30 H 1.09007 * 109.46866 * 299.99795 * 1 2 3 31 31 H 1.09000 * 109.47175 * 59.99616 * 1 2 3 32 32 H 1.09005 * 109.47327 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.47302 * 180.02562 * 3 2 1 34 34 H 1.09000 * 109.47248 * 300.00339 * 3 2 1 35 35 H 1.08998 * 109.47156 * 60.00186 * 3 2 1 36 36 H 1.08999 * 109.47170 * 295.18876 * 4 2 1 37 37 H 1.09004 * 109.46757 * 55.18842 * 4 2 1 38 38 H 1.08995 * 109.47160 * 175.18721 * 4 2 1 39 39 H 0.97009 * 119.99759 * 94.99868 * 7 5 2 40 40 H 0.97002 * 120.00222 * 0.02562 * 9 8 7 41 41 H 0.96995 * 119.99954 * 179.97438 * 9 8 7 42 42 H 1.08997 * 109.59254 * 6.63125 * 14 13 11 43 43 H 1.08997 * 109.70942 * 246.27003 * 14 13 11 44 44 H 1.08996 * 109.50078 * 294.68431 * 15 14 13 45 45 H 1.09003 * 109.49659 * 174.58763 * 15 14 13 46 46 H 1.08997 * 109.46091 * 178.61295 * 16 15 14 47 47 H 1.09001 * 109.44732 * 58.64501 * 16 15 14 48 48 H 1.08996 * 109.47063 * 304.99694 * 19 17 16 49 49 H 1.09001 * 109.47075 * 184.99776 * 19 17 16 50 50 H 0.96998 * 120.00564 * 0.02562 * 20 19 17 51 51 H 0.97001 * 120.00218 * 0.02562 * 24 23 21 52 52 H 1.09003 * 109.58239 * 113.79893 * 29 13 11 53 53 H 1.08997 * 109.58353 * 353.38019 * 29 13 11 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4424 0.0000 4 6 2.0399 -0.7213 -1.2493 5 6 2.0400 -0.7213 1.2492 6 1 3.1259 -0.6410 1.2971 7 7 1.4518 -0.1071 2.4421 8 6 2.0263 0.9804 2.9931 9 7 1.4848 1.5457 4.0902 10 8 3.0326 1.4520 2.4999 11 6 1.6460 -2.1745 1.1862 12 8 0.5693 -2.5301 1.6165 13 7 2.4902 -3.0791 0.6517 14 6 3.7480 -2.6502 0.0250 15 6 4.9057 -3.4247 0.6627 16 6 4.6300 -4.9263 0.5555 17 6 3.3453 -5.2663 1.3145 18 1 3.4503 -4.9702 2.3582 19 6 3.0882 -6.7724 1.2343 20 7 4.1550 -7.4880 1.9385 21 6 4.1366 -8.8559 2.0006 22 1 3.3359 -9.4071 1.5300 23 6 5.1471 -9.5340 2.6682 24 7 6.1228 -8.8622 3.2420 25 14 5.1224 -11.4000 2.7523 26 1 6.3032 -11.8767 3.5163 27 1 3.8802 -11.8484 3.4312 28 1 5.1640 -11.9581 1.3768 29 6 2.1700 -4.5126 0.6842 30 1 -0.3633 0.5138 0.8901 31 1 -0.3633 0.5139 -0.8899 32 1 -0.3634 -1.0277 -0.0005 33 1 3.1300 1.4424 -0.0005 34 1 1.6766 1.9563 -0.8899 35 1 1.6767 1.9563 0.8900 36 1 1.7487 -1.7708 -1.2072 37 1 1.6079 -0.2595 -2.1372 38 1 3.1265 -0.6472 -1.2935 39 1 0.6487 -0.4833 2.8354 40 1 0.6818 1.1697 4.4835 41 1 1.8985 2.3281 4.4870 42 1 3.8908 -1.5817 0.1860 43 1 3.7151 -2.8574 -1.0446 44 1 4.9958 -3.1455 1.7125 45 1 5.8332 -3.1870 0.1417 46 1 5.4639 -5.4803 0.9865 47 1 4.5154 -5.2002 -0.4933 48 1 3.0706 -7.0828 0.1896 49 1 2.1289 -7.0024 1.6979 50 1 4.8741 -6.9930 2.3614 51 1 6.1354 -7.8933 3.1987 52 1 2.0067 -4.8736 -0.3312 53 1 1.2714 -4.6728 1.2800 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 ZINC001661832990.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 06:11:33 Heat of formation + Delta-G solvation = -61.563380 kcal Electronic energy + Delta-G solvation = -32004.828256 eV Core-core repulsion = 27911.489160 eV Total energy + Delta-G solvation = -4093.339096 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -41.41830 -39.81599 -38.04689 -36.97668 -35.24344 -34.25998 -33.25670 -33.01782 -31.82906 -29.99098 -27.92270 -27.51479 -27.28184 -25.44380 -24.86916 -22.86625 -22.09009 -21.56725 -20.54949 -19.63334 -19.08364 -18.57320 -17.57654 -17.27672 -16.99534 -16.42543 -16.07020 -15.32534 -15.19100 -14.75787 -14.54237 -14.41723 -14.38837 -14.09522 -13.84405 -13.77467 -13.62649 -13.18938 -13.09171 -12.99930 -12.71875 -12.43616 -12.23248 -12.14374 -11.96072 -11.71840 -11.55116 -11.17480 -11.11261 -11.03129 -10.82900 -10.73770 -10.56657 -10.52101 -10.42130 -10.22538 -9.99053 -9.93558 -9.82657 -9.28236 -9.17737 -8.88454 -8.71438 -6.99849 -6.10154 -3.09614 2.17587 2.53646 2.88132 3.00125 3.51978 3.55658 3.73055 4.09561 4.17275 4.39930 4.47330 4.66813 4.70172 4.75907 4.89613 4.92920 5.03206 5.06643 5.19689 5.26257 5.36570 5.38765 5.47370 5.51249 5.57090 5.61702 5.66905 5.71780 5.73794 5.78536 5.81937 5.87323 5.90859 5.96381 5.97537 6.04078 6.09859 6.12332 6.21111 6.34349 6.36338 6.43315 6.52594 6.61010 6.68855 6.78870 7.20424 7.63712 7.81125 7.91107 8.32204 8.76131 9.23416 10.09757 10.24783 11.38425 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.019016 B = 0.002473 C = 0.002399 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1472.074007 B =11318.496678 C =11667.463580 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C -0.072 4.072 3 C -0.129 4.129 4 C -0.155 4.155 5 C 0.154 3.846 6 H 0.111 0.889 7 N -0.727 5.727 8 C 0.709 3.291 9 N -0.867 5.867 10 O -0.588 6.588 11 C 0.518 3.482 12 O -0.537 6.537 13 N -0.600 5.600 14 C 0.098 3.902 15 C -0.138 4.138 16 C -0.111 4.111 17 C -0.108 4.108 18 H 0.072 0.928 19 C 0.166 3.834 20 N -0.742 5.742 21 C -0.331 4.331 22 H 0.064 0.936 23 C -0.046 4.046 24 N -0.944 5.944 25 Si 1.080 2.920 26 H -0.285 1.285 27 H -0.295 1.295 28 H -0.295 1.295 29 C 0.120 3.880 30 H 0.055 0.945 31 H 0.055 0.945 32 H 0.063 0.937 33 H 0.062 0.938 34 H 0.049 0.951 35 H 0.060 0.940 36 H 0.062 0.938 37 H 0.063 0.937 38 H 0.064 0.936 39 H 0.405 0.595 40 H 0.397 0.603 41 H 0.415 0.585 42 H 0.087 0.913 43 H 0.076 0.924 44 H 0.066 0.934 45 H 0.076 0.924 46 H 0.075 0.925 47 H 0.063 0.937 48 H 0.022 0.978 49 H 0.021 0.979 50 H 0.367 0.633 51 H 0.254 0.746 52 H 0.070 0.930 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.409 23.849 -6.422 26.802 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 -0.199 4.199 2 C -0.074 4.074 3 C -0.186 4.186 4 C -0.213 4.213 5 C 0.044 3.956 6 H 0.128 0.872 7 N -0.384 5.384 8 C 0.407 3.593 9 N -0.435 5.435 10 O -0.466 6.466 11 C 0.305 3.695 12 O -0.414 6.414 13 N -0.333 5.333 14 C -0.024 4.024 15 C -0.176 4.176 16 C -0.148 4.148 17 C -0.127 4.127 18 H 0.090 0.910 19 C 0.038 3.962 20 N -0.388 5.388 21 C -0.462 4.462 22 H 0.082 0.918 23 C -0.243 4.243 24 N -0.590 5.590 25 Si 0.911 3.089 26 H -0.210 1.210 27 H -0.223 1.223 28 H -0.223 1.223 29 C -0.002 4.002 30 H 0.074 0.926 31 H 0.074 0.926 32 H 0.082 0.918 33 H 0.081 0.919 34 H 0.068 0.932 35 H 0.079 0.921 36 H 0.081 0.919 37 H 0.082 0.918 38 H 0.083 0.917 39 H 0.241 0.759 40 H 0.225 0.775 41 H 0.247 0.753 42 H 0.105 0.895 43 H 0.094 0.906 44 H 0.085 0.915 45 H 0.095 0.905 46 H 0.094 0.906 47 H 0.082 0.918 48 H 0.040 0.960 49 H 0.038 0.962 50 H 0.200 0.800 51 H 0.065 0.935 52 H 0.088 0.912 53 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges -9.508 22.443 -6.260 25.165 hybrid contribution -1.192 1.396 0.120 1.840 sum -10.700 23.839 -6.140 26.842 Atomic orbital electron populations 1.21865 0.93683 1.02661 1.01646 1.20894 0.96805 0.96598 0.93114 1.21873 1.01615 0.93696 1.01421 1.22226 1.01559 1.00687 0.96826 1.20836 1.00092 0.88987 0.85639 0.87163 1.44779 1.32111 1.30887 1.30623 1.15812 0.82902 0.80207 0.80348 1.42960 1.33393 1.35811 1.31349 1.90980 1.26107 1.65133 1.64395 1.20409 0.84370 0.87414 0.77349 1.90682 1.22028 1.80780 1.47959 1.48089 1.20569 1.07186 1.57409 1.22135 0.83240 0.99523 0.97505 1.21985 0.97500 0.96477 1.01633 1.21524 0.98293 0.94344 1.00675 1.21693 0.94423 0.96638 0.99990 0.90978 1.20509 0.92249 0.87844 0.95597 1.42348 1.26879 1.03987 1.65552 1.20032 1.09888 0.83029 1.33203 0.91790 1.25776 0.94014 1.06712 0.97837 1.70890 1.33430 1.07922 1.46776 0.83238 0.75623 0.74212 0.75824 1.21033 1.22285 1.22263 1.21664 0.98947 0.77959 1.01653 0.92575 0.92576 0.91843 0.91908 0.93210 0.92138 0.91911 0.91789 0.91704 0.75860 0.77474 0.75251 0.89450 0.90586 0.91519 0.90536 0.90634 0.91849 0.96049 0.96156 0.79967 0.93483 0.91161 0.88925 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.28 7.99 37.15 0.30 -0.98 16 2 C -0.07 -0.65 0.62 -154.51 -0.10 -0.75 16 3 C -0.13 -1.20 7.08 37.16 0.26 -0.94 16 4 C -0.16 -1.25 6.78 37.16 0.25 -1.00 16 5 C 0.15 1.60 1.49 -69.08 -0.10 1.50 16 6 H 0.11 1.22 5.49 -51.93 -0.29 0.94 16 7 N -0.73 -7.00 4.03 -59.82 -0.24 -7.24 16 8 C 0.71 7.14 7.42 -86.92 -0.64 6.49 16 9 N -0.87 -5.30 8.88 27.63 0.25 -5.06 16 10 O -0.59 -7.83 14.31 5.30 0.08 -7.75 16 11 C 0.52 6.35 5.21 -10.98 -0.06 6.29 16 12 O -0.54 -7.90 14.51 5.56 0.08 -7.82 16 13 N -0.60 -7.07 2.45 -172.77 -0.42 -7.50 16 14 C 0.10 0.96 4.10 -3.71 -0.02 0.94 16 15 C -0.14 -1.55 6.08 -26.61 -0.16 -1.72 16 16 C -0.11 -1.59 5.05 -26.69 -0.13 -1.73 16 17 C -0.11 -1.71 2.38 -90.50 -0.22 -1.92 16 18 H 0.07 1.26 8.14 -51.93 -0.42 0.84 16 19 C 0.17 3.33 5.65 -4.04 -0.02 3.31 16 20 N -0.74 -18.72 5.32 -59.91 -0.32 -19.04 16 21 C -0.33 -9.43 9.99 -15.06 -0.15 -9.58 16 22 H 0.06 1.80 7.83 -52.49 -0.41 1.39 16 23 C -0.05 -1.35 5.50 -17.43 -0.10 -1.45 16 24 N -0.94 -29.38 13.70 55.49 0.76 -28.62 16 25 Si 1.08 26.12 29.92 -169.99 -5.09 21.03 16 26 H -0.28 -6.98 7.11 56.52 0.40 -6.58 16 27 H -0.30 -6.84 7.11 56.52 0.40 -6.44 16 28 H -0.30 -6.80 7.11 56.52 0.40 -6.40 16 29 C 0.12 1.63 5.70 -3.71 -0.02 1.61 16 30 H 0.06 0.50 7.47 -51.93 -0.39 0.11 16 31 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 32 H 0.06 0.68 6.69 -51.93 -0.35 0.33 16 33 H 0.06 0.64 7.86 -51.93 -0.41 0.23 16 34 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 35 H 0.06 0.64 5.64 -51.93 -0.29 0.35 16 36 H 0.06 0.57 5.76 -51.93 -0.30 0.27 16 37 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 38 H 0.06 0.46 6.48 -51.93 -0.34 0.13 16 39 H 0.41 3.62 7.90 -40.82 -0.32 3.30 16 40 H 0.40 1.46 8.84 -40.82 -0.36 1.09 16 41 H 0.42 2.08 8.93 -40.82 -0.36 1.71 16 42 H 0.09 0.75 4.07 -51.93 -0.21 0.54 16 43 H 0.08 0.64 7.77 -51.93 -0.40 0.24 16 44 H 0.07 0.82 8.14 -51.93 -0.42 0.39 16 45 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 46 H 0.08 1.29 7.15 -51.93 -0.37 0.92 16 47 H 0.06 0.88 8.14 -51.93 -0.42 0.45 16 48 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 49 H 0.02 0.43 8.14 -51.93 -0.42 0.00 16 50 H 0.37 9.43 5.68 -40.82 -0.23 9.20 16 51 H 0.25 7.76 6.77 -40.82 -0.28 7.49 16 52 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 53 H 0.09 1.38 7.04 -51.93 -0.37 1.02 16 LS Contribution 394.29 15.07 5.94 5.94 Total: -1.00 -35.05 394.29 -8.57 -43.62 By element: Atomic # 1 Polarization: 21.06 SS G_CDS: -8.70 Total: 12.36 kcal Atomic # 6 Polarization: 0.98 SS G_CDS: -0.91 Total: 0.07 kcal Atomic # 7 Polarization: -67.47 SS G_CDS: 0.02 Total: -67.45 kcal Atomic # 8 Polarization: -15.73 SS G_CDS: 0.16 Total: -15.57 kcal Atomic # 14 Polarization: 26.12 SS G_CDS: -5.09 Total: 21.03 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -35.05 -8.57 -43.62 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. ZINC001661832990.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 -17.943 kcal (2) G-P(sol) polarization free energy of solvation -35.048 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -52.992 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.572 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.620 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.563 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds