Wall clock time and date at job start Tue Mar 31 2020 21:04:54 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 * 109.47409 * 2 1 4 4 C 1.52994 * 109.47193 * 180.02562 * 3 2 1 5 5 H 1.08997 * 109.47283 * 54.99954 * 4 3 2 6 6 C 1.52998 * 109.47241 * 294.99677 * 4 3 2 7 7 C 1.53006 * 109.47374 * 179.97438 * 6 4 3 8 8 C 1.53004 * 109.46776 * 60.00424 * 7 6 4 9 9 C 1.53006 * 109.46976 * 300.00013 * 8 7 6 10 10 C 1.53003 * 109.47071 * 60.00165 * 9 8 7 11 11 H 1.08997 * 109.47457 * 59.99914 * 10 9 8 12 12 N 1.46496 * 109.46948 * 179.97438 * 10 9 8 13 13 C 1.34773 * 120.00267 * 274.99954 * 12 10 9 14 14 O 1.21354 * 119.99669 * 359.97438 * 13 12 10 15 15 C 1.49446 * 120.00438 * 179.97438 * 13 12 10 16 16 O 1.21354 * 119.99989 * 5.13105 * 15 13 12 17 17 N 1.34780 * 120.00444 * 185.12571 * 15 13 12 18 18 C 1.46501 * 120.00093 * 174.86996 * 17 15 13 19 19 C 1.53007 * 109.46872 * 185.10447 * 18 17 15 20 20 C 1.50701 * 115.56034 * 270.33568 * 19 18 17 21 21 H 1.07997 * 119.99311 * 142.63996 * 20 19 18 22 22 C 1.37871 * 120.00554 * 322.64546 * 20 19 18 23 23 N 1.31521 * 119.99412 * 343.28189 * 22 20 19 24 24 Si 1.86794 * 120.00407 * 163.28205 * 22 20 19 25 25 H 1.48499 * 109.46902 * 59.99992 * 24 22 20 26 26 H 1.48501 * 109.47078 * 179.97438 * 24 22 20 27 27 H 1.48499 * 109.47223 * 299.99723 * 24 22 20 28 28 C 1.52997 * 117.49519 * 124.64892 * 19 18 17 29 29 C 1.52998 * 117.49542 * 56.02617 * 19 18 17 30 30 H 1.08994 * 109.46856 * 180.02562 * 1 2 3 31 31 H 1.09002 * 109.46618 * 300.00361 * 1 2 3 32 32 H 1.09001 * 109.46794 * 59.99860 * 1 2 3 33 33 H 1.08996 * 109.46991 * 239.99759 * 2 1 3 34 34 H 1.09001 * 109.46794 * 120.00140 * 2 1 3 35 35 H 1.08996 * 109.47241 * 59.99912 * 3 2 1 36 36 H 1.09001 * 109.47257 * 299.99857 * 3 2 1 37 37 H 1.09008 * 109.47029 * 60.00273 * 6 4 3 38 38 H 1.08997 * 109.47208 * 300.00323 * 6 4 3 39 39 H 1.08997 * 109.47459 * 300.00466 * 7 6 4 40 40 H 1.09003 * 109.47102 * 179.97438 * 7 6 4 41 41 H 1.08997 * 109.47078 * 179.97438 * 8 7 6 42 42 H 1.08997 * 109.47092 * 59.99817 * 8 7 6 43 43 H 1.08997 * 109.47050 * 299.99830 * 9 8 7 44 44 H 1.09001 * 109.46819 * 180.02562 * 9 8 7 45 45 H 0.97005 * 120.00066 * 94.99789 * 12 10 9 46 46 H 0.97003 * 119.99332 * 354.86908 * 17 15 13 47 47 H 1.08995 * 109.46954 * 65.10823 * 18 17 15 48 48 H 1.08997 * 109.47226 * 305.10346 * 18 17 15 49 49 H 0.97004 * 119.99379 * 185.01771 * 23 22 20 50 50 H 1.09002 * 117.50278 * 0.02562 * 28 19 18 51 51 H 1.08998 * 117.49734 * 145.01881 * 28 19 18 52 52 H 1.09003 * 117.49749 * 214.97350 * 29 19 18 53 53 H 1.09000 * 117.50012 * 0.02562 * 29 19 18 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 2.0401 1.4424 0.0000 4 6 3.5701 1.4424 -0.0006 5 1 3.9330 0.8531 -0.8427 6 6 4.0806 0.8326 1.3064 7 6 5.6107 0.8320 1.3055 8 6 6.1212 2.2688 1.1795 9 6 5.6106 2.8786 -0.1276 10 6 4.0805 2.8792 -0.1266 11 1 3.7179 3.4688 0.7154 12 7 3.5917 3.4637 -1.3779 13 6 3.4634 4.8004 -1.4924 14 8 3.7524 5.5198 -0.5588 15 6 2.9653 5.3967 -2.7690 16 8 2.5884 4.6754 -3.6692 17 7 2.9346 6.7356 -2.9206 18 6 2.5534 7.3182 -4.2096 19 6 2.7216 8.8379 -4.1520 20 6 1.5139 9.6085 -3.6843 21 1 1.6387 10.4808 -3.0599 22 6 0.2500 9.2000 -4.0534 23 7 0.0962 8.3631 -5.0563 24 14 -1.2440 9.8349 -3.1292 25 1 -1.2999 11.3150 -3.2362 26 1 -2.4756 9.2497 -3.7175 27 1 -1.1443 9.4453 -1.6998 28 6 3.6090 9.4911 -5.2135 29 6 4.0991 9.3821 -3.7682 30 1 -0.3633 -1.0276 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5139 -0.8900 33 1 1.8934 -0.5139 -0.8899 34 1 1.8934 -0.5139 0.8900 35 1 1.6768 1.9563 0.8899 36 1 1.6769 1.9563 -0.8900 37 1 3.7173 -0.1912 1.3960 38 1 3.7176 1.4219 2.1484 39 1 5.9733 0.2424 0.4635 40 1 5.9744 0.3980 2.2369 41 1 7.2111 2.2684 1.1793 42 1 5.7585 2.8584 2.0215 43 1 5.9732 2.2891 -0.9696 44 1 5.9746 3.9021 -0.2175 45 1 3.3604 2.8886 -2.1240 46 1 3.1648 7.3133 -2.1762 47 1 1.5127 7.0758 -4.4244 48 1 3.1907 6.9117 -4.9948 49 1 -0.7947 8.1322 -5.3629 50 1 4.0725 8.8384 -5.9532 51 1 3.3192 10.4783 -5.5736 52 1 4.1319 10.2976 -3.1775 53 1 4.8856 8.6575 -3.5572 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001323159000.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 21:04:54 Heat of formation + Delta-G solvation = -83.529887 kcal Electronic energy + Delta-G solvation = -30016.894550 eV Core-core repulsion = 26080.766216 eV Total energy + Delta-G solvation = -3936.128335 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -40.56233 -39.21439 -37.83651 -36.74621 -35.13349 -34.46118 -33.07666 -32.28735 -31.07028 -29.85132 -26.92860 -26.20926 -25.51630 -23.85048 -22.84695 -21.67663 -21.22798 -20.79661 -20.44057 -19.59091 -19.33201 -18.07056 -16.67225 -16.21230 -15.74476 -15.50534 -15.46006 -14.92045 -14.82704 -14.57062 -14.44021 -14.16475 -13.94306 -13.61682 -13.48534 -13.32411 -13.20633 -12.95773 -12.63916 -12.58481 -12.09465 -11.72322 -11.67358 -11.62821 -11.47864 -11.35639 -11.27891 -11.14783 -10.97040 -10.91834 -10.86439 -10.73382 -10.55331 -10.53211 -10.34685 -10.25781 -9.64189 -9.25620 -9.11734 -9.05926 -8.84994 -8.39163 -8.03666 -6.15702 -4.17267 1.86462 2.75102 3.25067 3.31933 3.35057 3.68284 4.08007 4.25271 4.30700 4.41630 4.56135 4.72628 4.83751 4.87623 4.95024 4.96937 5.02061 5.06438 5.17432 5.22596 5.23728 5.37611 5.45425 5.46317 5.50265 5.63094 5.65832 5.76395 5.80980 5.81963 5.86128 5.89800 5.94252 5.98582 6.03676 6.08803 6.14534 6.20558 6.26602 6.40401 6.42834 6.58897 6.61391 6.83150 6.97637 7.10719 7.25723 7.35239 7.54155 7.90684 7.93173 8.21520 8.30742 8.61187 8.79007 9.41173 10.86463 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012741 B = 0.002857 C = 0.002523 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2197.169866 B = 9798.356003 C =11096.123627 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.155 4.155 2 C -0.123 4.123 3 C -0.120 4.120 4 C -0.093 4.093 5 H 0.077 0.923 6 C -0.111 4.111 7 C -0.122 4.122 8 C -0.116 4.116 9 C -0.131 4.131 10 C 0.149 3.851 11 H 0.090 0.910 12 N -0.702 5.702 13 C 0.509 3.491 14 O -0.523 6.523 15 C 0.492 3.508 16 O -0.537 6.537 17 N -0.672 5.672 18 C 0.140 3.860 19 C 0.038 3.962 20 C -0.496 4.496 21 H 0.064 0.936 22 C 0.071 3.929 23 N -0.871 5.871 24 Si 0.893 3.107 25 H -0.276 1.276 26 H -0.286 1.286 27 H -0.274 1.274 28 C -0.191 4.191 29 C -0.209 4.209 30 H 0.051 0.949 31 H 0.053 0.947 32 H 0.056 0.944 33 H 0.060 0.940 34 H 0.062 0.938 35 H 0.064 0.936 36 H 0.068 0.932 37 H 0.069 0.931 38 H 0.065 0.935 39 H 0.062 0.938 40 H 0.062 0.938 41 H 0.064 0.936 42 H 0.064 0.936 43 H 0.065 0.935 44 H 0.070 0.930 45 H 0.410 0.590 46 H 0.408 0.592 47 H 0.125 0.875 48 H 0.043 0.957 49 H 0.267 0.733 50 H 0.066 0.934 51 H 0.081 0.919 52 H 0.079 0.921 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.890 -17.583 11.379 22.380 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 -0.212 4.212 2 C -0.160 4.160 3 C -0.158 4.158 4 C -0.112 4.112 5 H 0.095 0.905 6 C -0.149 4.149 7 C -0.159 4.159 8 C -0.154 4.154 9 C -0.170 4.170 10 C 0.045 3.955 11 H 0.108 0.892 12 N -0.355 5.355 13 C 0.290 3.710 14 O -0.398 6.398 15 C 0.271 3.729 16 O -0.416 6.416 17 N -0.322 5.322 18 C 0.019 3.981 19 C 0.037 3.963 20 C -0.533 4.533 21 H 0.082 0.918 22 C -0.133 4.133 23 N -0.508 5.508 24 Si 0.720 3.280 25 H -0.201 1.201 26 H -0.211 1.211 27 H -0.199 1.199 28 C -0.229 4.229 29 C -0.247 4.247 30 H 0.071 0.929 31 H 0.072 0.928 32 H 0.075 0.925 33 H 0.079 0.921 34 H 0.081 0.919 35 H 0.082 0.918 36 H 0.087 0.913 37 H 0.088 0.912 38 H 0.084 0.916 39 H 0.081 0.919 40 H 0.081 0.919 41 H 0.083 0.917 42 H 0.083 0.917 43 H 0.083 0.917 44 H 0.088 0.912 45 H 0.247 0.753 46 H 0.243 0.757 47 H 0.143 0.857 48 H 0.061 0.939 49 H 0.077 0.923 50 H 0.085 0.915 51 H 0.100 0.900 52 H 0.097 0.903 53 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges 7.666 -17.681 11.308 22.344 hybrid contribution -0.703 0.460 0.300 0.892 sum 6.964 -17.221 11.607 21.904 Atomic orbital electron populations 1.21787 0.95916 1.01415 1.02086 1.21558 0.95873 0.96747 1.01869 1.21704 0.94117 0.97021 1.02914 1.21449 0.95782 0.94839 0.99146 0.90470 1.21596 0.95412 1.01076 0.96825 1.21583 0.95605 0.96918 1.01808 1.21491 1.00380 0.95959 0.97588 1.21942 0.94957 1.01894 0.98163 1.21076 0.93683 0.93748 0.86983 0.89162 1.45832 1.65955 1.06593 1.17122 1.20561 0.78439 0.83096 0.88865 1.90732 1.48537 1.60383 1.40120 1.19921 0.81276 0.84219 0.87498 1.90719 1.48000 1.60493 1.42354 1.46102 1.64262 1.05054 1.16782 1.21559 1.04102 0.92113 0.80340 1.19141 0.88847 0.90504 0.97775 1.20497 0.88915 1.12018 1.31903 0.91757 1.24997 0.99131 0.94707 0.94421 1.69799 1.23278 1.34124 1.23555 0.86630 0.81652 0.79074 0.80617 1.20125 1.21110 1.19920 1.22974 1.06966 1.02299 0.90701 1.22886 0.99912 1.02568 0.99290 0.92943 0.92816 0.92526 0.92078 0.91949 0.91758 0.91306 0.91226 0.91626 0.91908 0.91909 0.91745 0.91683 0.91656 0.91164 0.75342 0.75668 0.85726 0.93904 0.92306 0.91517 0.90035 0.90293 0.91249 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 -0.15 -1.25 9.91 37.16 0.37 -0.88 16 2 C -0.12 -0.94 5.69 -26.73 -0.15 -1.10 16 3 C -0.12 -1.07 4.60 -26.74 -0.12 -1.19 16 4 C -0.09 -0.77 1.77 -90.62 -0.16 -0.93 16 5 H 0.08 0.61 8.14 -51.93 -0.42 0.18 16 6 C -0.11 -0.77 4.96 -26.73 -0.13 -0.90 16 7 C -0.12 -0.81 5.92 -26.73 -0.16 -0.97 16 8 C -0.12 -0.92 5.92 -26.73 -0.16 -1.08 16 9 C -0.13 -1.30 5.49 -26.73 -0.15 -1.44 16 10 C 0.15 1.59 1.90 -67.93 -0.13 1.46 16 11 H 0.09 1.11 7.57 -51.93 -0.39 0.72 16 12 N -0.70 -9.08 4.30 -54.24 -0.23 -9.32 16 13 C 0.51 8.53 7.85 -11.59 -0.09 8.44 16 14 O -0.52 -9.64 16.15 5.49 0.09 -9.55 16 15 C 0.49 9.67 7.88 -11.59 -0.09 9.58 16 16 O -0.54 -11.53 16.50 5.49 0.09 -11.44 16 17 N -0.67 -14.06 5.40 -60.73 -0.33 -14.38 16 18 C 0.14 3.30 5.43 -4.04 -0.02 3.28 16 19 C 0.04 0.91 1.83 -155.66 -0.28 0.63 16 20 C -0.50 -13.03 9.00 -34.44 -0.31 -13.34 16 21 H 0.06 1.68 7.87 -52.49 -0.41 1.27 16 22 C 0.07 1.88 5.07 -17.82 -0.09 1.79 16 23 N -0.87 -23.82 11.01 55.43 0.61 -23.21 16 24 Si 0.89 20.62 29.57 -169.99 -5.03 15.59 16 25 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 26 H -0.29 -6.57 7.11 56.52 0.40 -6.17 16 27 H -0.27 -6.33 7.11 56.52 0.40 -5.93 16 28 C -0.19 -4.22 9.88 -26.73 -0.26 -4.48 16 29 C -0.21 -4.35 9.54 -26.73 -0.25 -4.61 16 30 H 0.05 0.38 8.14 -51.93 -0.42 -0.05 16 31 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 32 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 33 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 34 H 0.06 0.42 6.57 -51.93 -0.34 0.08 16 35 H 0.06 0.61 8.14 -51.93 -0.42 0.18 16 36 H 0.07 0.72 7.30 -51.93 -0.38 0.34 16 37 H 0.07 0.42 6.57 -51.92 -0.34 0.08 16 38 H 0.06 0.48 8.14 -51.93 -0.42 0.05 16 39 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 40 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 41 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 42 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 43 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 44 H 0.07 0.84 8.14 -51.93 -0.42 0.41 16 45 H 0.41 4.97 7.88 -40.82 -0.32 4.65 16 46 H 0.41 8.27 7.73 -40.82 -0.32 7.95 16 47 H 0.13 3.35 5.28 -51.93 -0.27 3.08 16 48 H 0.04 1.00 7.88 -51.93 -0.41 0.59 16 49 H 0.27 7.01 8.32 -40.82 -0.34 6.67 16 50 H 0.07 1.39 8.03 -51.93 -0.42 0.97 16 51 H 0.08 1.82 8.14 -51.93 -0.42 1.39 16 52 H 0.08 1.60 8.14 -51.93 -0.42 1.18 16 53 H 0.07 1.34 8.14 -51.93 -0.42 0.92 16 LS Contribution 418.16 15.07 6.30 6.30 Total: -1.00 -28.45 418.16 -10.20 -38.65 By element: Atomic # 1 Polarization: 22.60 SS G_CDS: -9.50 Total: 13.10 kcal Atomic # 6 Polarization: -3.54 SS G_CDS: -2.20 Total: -5.74 kcal Atomic # 7 Polarization: -46.96 SS G_CDS: 0.05 Total: -46.91 kcal Atomic # 8 Polarization: -21.17 SS G_CDS: 0.18 Total: -20.99 kcal Atomic # 14 Polarization: 20.62 SS G_CDS: -5.03 Total: 15.59 kcal Total LS contribution 6.30 Total: 6.30 kcal Total: -28.45 -10.20 -38.65 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. ZINC001323159000.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 -44.877 kcal (2) G-P(sol) polarization free energy of solvation -28.451 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -73.328 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.202 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.653 kcal (6) G-S(sol) free energy of system = (1) + (5) -83.530 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds