Wall clock time and date at job start Tue Mar 31 2020 05:27:48 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 N 2 2 C 1.31514 * 1 3 3 Si 1.86807 * 119.99776 * 2 1 4 4 H 1.48501 * 109.46939 * 270.00306 * 3 2 1 5 5 H 1.48494 * 109.47002 * 29.99954 * 3 2 1 6 6 H 1.48498 * 109.47026 * 150.00118 * 3 2 1 7 7 C 1.37881 * 120.00167 * 180.02562 * 2 1 3 8 8 H 1.08005 * 119.99612 * 180.02562 * 7 2 1 9 9 C 1.50699 * 119.99917 * 359.97438 * 7 2 1 10 10 N 1.46504 * 109.46734 * 180.02562 * 9 7 2 11 11 C 1.34774 * 119.99858 * 269.99930 * 10 9 7 12 12 O 1.21285 * 120.00266 * 4.43081 * 11 10 9 13 13 C 1.50707 * 119.99689 * 184.43211 * 11 10 9 14 14 O 1.45200 * 109.46740 * 174.72993 * 13 11 10 15 15 C 1.34231 * 116.99591 * 180.02562 * 14 13 11 16 16 O 1.20823 * 120.00170 * 359.97438 * 15 14 13 17 17 C 1.50704 * 119.99756 * 180.02562 * 15 14 13 18 18 C 1.52997 * 109.46971 * 179.97438 * 17 15 14 19 19 C 1.53000 * 109.47084 * 179.97438 * 18 17 15 20 20 C 1.54261 * 110.03053 * 292.90776 * 19 18 17 21 21 C 1.54965 * 104.15863 * 217.13655 * 20 19 18 22 22 C 1.54888 * 102.78024 * 37.88711 * 21 20 19 23 23 C 1.53879 * 110.03330 * 175.69020 * 19 18 17 24 24 C 1.39930 * 119.99689 * 90.00078 * 10 9 7 25 25 C 1.38872 * 120.06914 * 246.70733 * 24 10 9 26 26 C 1.38109 * 119.92865 * 179.97438 * 25 24 10 27 27 C 1.38280 * 120.07275 * 359.97438 * 26 25 24 28 28 C 1.38289 * 120.13927 * 0.05171 * 27 26 25 29 29 C 1.38114 * 120.06901 * 359.94782 * 28 27 26 30 30 H 0.96991 * 120.00637 * 359.97438 * 1 2 3 31 31 H 1.08994 * 109.46888 * 60.00160 * 9 7 2 32 32 H 1.09001 * 109.46851 * 299.99645 * 9 7 2 33 33 H 1.08998 * 109.47306 * 294.73002 * 13 11 10 34 34 H 1.08998 * 109.46760 * 54.73284 * 13 11 10 35 35 H 1.09000 * 109.46902 * 299.99547 * 17 15 14 36 36 H 1.08999 * 109.47269 * 59.99607 * 17 15 14 37 37 H 1.09000 * 109.47285 * 299.99738 * 18 17 15 38 38 H 1.09002 * 109.47596 * 59.99944 * 18 17 15 39 39 H 1.08996 * 110.01725 * 54.30199 * 19 18 17 40 40 H 1.08997 * 110.48865 * 335.77925 * 20 19 18 41 41 H 1.09003 * 110.48821 * 98.42920 * 20 19 18 42 42 H 1.08999 * 110.72056 * 279.57413 * 21 20 19 43 43 H 1.09004 * 110.92449 * 156.29829 * 21 20 19 44 44 H 1.08997 * 110.48852 * 203.40415 * 22 21 20 45 45 H 1.09003 * 110.59693 * 80.81920 * 22 21 20 46 46 H 1.09002 * 110.02879 * 238.57252 * 23 19 18 47 47 H 1.09002 * 110.03014 * 359.95040 * 23 19 18 48 48 H 1.07999 * 120.03703 * 359.70435 * 25 24 10 49 49 H 1.07998 * 119.96629 * 179.97438 * 26 25 24 50 50 H 1.07997 * 119.93383 * 180.02562 * 27 26 25 51 51 H 1.07997 * 119.96184 * 179.97438 * 28 27 26 52 52 H 1.08001 * 120.03326 * 180.02562 * 29 28 27 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3151 0.0000 0.0000 3 14 2.2491 1.6178 0.0000 4 1 2.4965 2.0465 -1.4001 5 1 1.4465 2.6527 0.7000 6 1 3.5467 1.4403 0.7000 7 6 2.0046 -1.1941 -0.0005 8 1 3.0846 -1.1940 -0.0001 9 6 1.2511 -2.4992 -0.0005 10 7 2.2032 -3.6126 -0.0005 11 6 2.6411 -4.1248 -1.1677 12 8 2.3105 -3.6132 -2.2165 13 6 3.5417 -5.3332 -1.1696 14 8 3.7713 -5.7634 -2.5373 15 6 4.5585 -6.8362 -2.7146 16 8 5.0400 -7.3968 -1.7587 17 6 4.8425 -7.3406 -4.1060 18 6 5.7589 -8.5633 -4.0280 19 6 6.0467 -9.0758 -5.4405 20 6 4.7563 -9.6381 -6.0718 21 6 5.2370 -10.8642 -6.8885 22 6 6.3390 -11.4683 -5.9832 23 6 7.0528 -10.2388 -5.3845 24 6 2.6579 -4.1443 1.2113 25 6 3.9904 -4.0041 1.5764 26 6 4.4359 -4.5296 2.7734 27 6 3.5566 -5.1943 3.6083 28 6 2.2291 -5.3361 3.2475 29 6 1.7774 -4.8128 2.0518 30 1 -0.4850 0.8399 0.0004 31 1 0.6242 -2.5567 -0.8903 32 1 0.6249 -2.5571 0.8897 33 1 4.4937 -5.0776 -0.7045 34 1 3.0686 -6.1397 -0.6096 35 1 3.9061 -7.6182 -4.5900 36 1 5.3317 -6.5566 -4.6839 37 1 6.6952 -8.2853 -3.5441 38 1 5.2700 -9.3475 -3.4499 39 1 6.4430 -8.2688 -6.0567 40 1 4.0557 -9.9475 -5.2963 41 1 4.2984 -8.8976 -6.7276 42 1 5.6527 -10.5507 -7.8461 43 1 4.4249 -11.5762 -7.0361 44 1 7.0350 -12.0631 -6.5746 45 1 5.8963 -12.0748 -5.1930 46 1 7.9369 -9.9964 -5.9742 47 1 7.3367 -10.4375 -4.3510 48 1 4.6786 -3.4886 0.9229 49 1 5.4721 -4.4213 3.0577 50 1 3.9073 -5.6040 4.5440 51 1 1.5450 -5.8561 3.9015 52 1 0.7405 -4.9235 1.7707 RHF calculation, no. of doubly occupied orbitals= 68 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 ZINC000003219497.mol2 52 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 05:27:48 Heat of formation + Delta-G solvation = -113.536096 kcal Electronic energy + Delta-G solvation = -31559.448814 eV Core-core repulsion = 27295.159848 eV Total energy + Delta-G solvation = -4264.288966 eV No. of doubly occupied orbitals = 68 Molecular weight (most abundant/longest-lived isotopes) = 359.193 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.67628 -39.82817 -38.77323 -38.12064 -36.40892 -34.89762 -33.54835 -32.75729 -30.79226 -29.71615 -29.36846 -29.03612 -28.28850 -26.58907 -24.06982 -22.96983 -22.52173 -22.08954 -21.15049 -20.55515 -19.89713 -19.22291 -17.72871 -17.40867 -16.88777 -16.51423 -16.23137 -16.02973 -15.88855 -15.38712 -15.22111 -15.07080 -14.66200 -14.27520 -14.22383 -13.85142 -13.66812 -13.27700 -13.18765 -13.13854 -12.83442 -12.67855 -12.35716 -12.24783 -12.15996 -11.67612 -11.52293 -11.44264 -11.34913 -11.26475 -11.17080 -11.10501 -10.96375 -10.88782 -10.88007 -10.69401 -10.68626 -10.61710 -10.50904 -10.21344 -9.79893 -9.42699 -8.73789 -8.66210 -8.47825 -7.77008 -6.09927 -4.14417 1.49601 1.59746 2.17148 2.44436 3.08098 3.29479 3.35185 3.38124 3.71816 3.97235 4.22012 4.28267 4.38083 4.41270 4.62820 4.74994 4.79182 4.83094 5.09410 5.11310 5.12139 5.13918 5.21855 5.24855 5.25516 5.26522 5.30798 5.32032 5.33293 5.35546 5.45334 5.53778 5.60843 5.62852 5.76842 5.77233 5.78296 5.86144 5.95841 5.96784 6.00656 6.13743 6.20861 6.39918 6.55501 6.68635 6.71826 6.88836 7.13431 7.25788 7.36872 7.70837 7.85081 8.12277 8.18475 8.70842 8.89526 9.49993 10.98543 Molecular weight = 359.19amu Principal moments of inertia in cm(-1) A = 0.011126 B = 0.002146 C = 0.001912 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2515.932231 B =13046.432652 C =14638.608316 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.894 5.894 2 C 0.063 3.937 3 Si 0.900 3.100 4 H -0.278 1.278 5 H -0.285 1.285 6 H -0.274 1.274 7 C -0.526 4.526 8 H 0.059 0.941 9 C 0.250 3.750 10 N -0.556 5.556 11 C 0.514 3.486 12 O -0.502 6.502 13 C 0.051 3.949 14 O -0.332 6.332 15 C 0.459 3.541 16 O -0.512 6.512 17 C -0.113 4.113 18 C -0.101 4.101 19 C -0.093 4.093 20 C -0.125 4.125 21 C -0.126 4.126 22 C -0.126 4.126 23 C -0.121 4.121 24 C 0.154 3.846 25 C -0.127 4.127 26 C -0.107 4.107 27 C -0.132 4.132 28 C -0.108 4.108 29 C -0.123 4.123 30 H 0.264 0.736 31 H 0.049 0.951 32 H 0.039 0.961 33 H 0.098 0.902 34 H 0.095 0.905 35 H 0.107 0.893 36 H 0.107 0.893 37 H 0.072 0.928 38 H 0.073 0.927 39 H 0.075 0.925 40 H 0.069 0.931 41 H 0.067 0.933 42 H 0.065 0.935 43 H 0.064 0.936 44 H 0.062 0.938 45 H 0.064 0.936 46 H 0.063 0.937 47 H 0.066 0.934 48 H 0.123 0.877 49 H 0.122 0.878 50 H 0.120 0.880 51 H 0.123 0.877 52 H 0.126 0.874 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.162 -21.242 -4.687 24.449 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 N -0.533 5.533 2 C -0.140 4.140 3 Si 0.727 3.273 4 H -0.204 1.204 5 H -0.211 1.211 6 H -0.199 1.199 7 C -0.565 4.565 8 H 0.077 0.923 9 C 0.133 3.867 10 N -0.286 5.286 11 C 0.300 3.700 12 O -0.376 6.376 13 C -0.027 4.027 14 O -0.247 6.247 15 C 0.302 3.698 16 O -0.400 6.400 17 C -0.151 4.151 18 C -0.138 4.138 19 C -0.112 4.112 20 C -0.162 4.162 21 C -0.164 4.164 22 C -0.163 4.163 23 C -0.159 4.159 24 C 0.062 3.938 25 C -0.146 4.146 26 C -0.126 4.126 27 C -0.150 4.150 28 C -0.127 4.127 29 C -0.142 4.142 30 H 0.074 0.926 31 H 0.067 0.933 32 H 0.057 0.943 33 H 0.116 0.884 34 H 0.113 0.887 35 H 0.125 0.875 36 H 0.125 0.875 37 H 0.091 0.909 38 H 0.092 0.908 39 H 0.093 0.907 40 H 0.087 0.913 41 H 0.086 0.914 42 H 0.084 0.916 43 H 0.083 0.917 44 H 0.081 0.919 45 H 0.083 0.917 46 H 0.082 0.918 47 H 0.085 0.915 48 H 0.141 0.859 49 H 0.140 0.860 50 H 0.138 0.862 51 H 0.141 0.859 52 H 0.144 0.856 Dipole moment (debyes) X Y Z Total from point charges 10.909 -20.939 -5.001 24.134 hybrid contribution 0.448 1.137 0.357 1.274 sum 11.357 -19.801 -4.644 23.295 Atomic orbital electron populations 1.69917 1.05969 1.27183 1.50187 1.24912 0.94916 0.99240 0.94907 0.86464 0.79679 0.82846 0.78270 1.20443 1.21076 1.19884 1.21339 0.93404 0.90338 1.51423 0.92321 1.19495 0.86872 0.81398 0.98928 1.45898 1.45905 1.34817 1.01930 1.19767 0.81556 0.84306 0.84402 1.90736 1.55949 1.60549 1.30385 1.22886 1.01287 0.97241 0.81251 1.86558 1.62837 1.44558 1.30709 1.23905 0.75237 0.77663 0.93002 1.90661 1.49098 1.56954 1.43290 1.21460 1.03169 0.99614 0.90865 1.21580 0.99596 0.95987 0.96659 1.21809 0.95763 0.97828 0.95755 1.22536 0.97063 0.97385 0.99265 1.22507 0.98193 0.97272 0.98387 1.22361 0.97685 0.97371 0.98920 1.22204 0.97922 0.94466 1.01295 1.17791 0.92617 0.95094 0.88285 1.21372 0.95604 1.00148 0.97496 1.20978 0.99641 0.97987 0.93994 1.21088 0.93723 1.00493 0.99697 1.20987 0.95800 0.99828 0.96094 1.21309 1.00082 0.97816 0.95043 0.92599 0.93330 0.94301 0.88440 0.88725 0.87484 0.87482 0.90905 0.90827 0.90673 0.91278 0.91397 0.91606 0.91705 0.91927 0.91679 0.91839 0.91493 0.85911 0.85988 0.86241 0.85939 0.85593 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 N -0.89 -26.33 13.29 55.43 0.74 -25.59 16 2 C 0.06 1.78 5.46 -17.82 -0.10 1.69 16 3 Si 0.90 21.92 29.54 -169.99 -5.02 16.90 16 4 H -0.28 -6.78 7.11 56.52 0.40 -6.38 16 5 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 6 H -0.27 -6.55 7.11 56.52 0.40 -6.15 16 7 C -0.53 -14.89 9.39 -34.44 -0.32 -15.22 16 8 H 0.06 1.66 7.81 -52.48 -0.41 1.25 16 9 C 0.25 6.50 5.07 -5.19 -0.03 6.47 16 10 N -0.56 -12.00 2.51 -114.73 -0.29 -12.29 16 11 C 0.51 10.99 7.62 -10.98 -0.08 10.91 16 12 O -0.50 -12.77 16.14 -14.05 -0.23 -12.99 16 13 C 0.05 0.86 4.61 36.01 0.17 1.03 16 14 O -0.33 -5.52 9.76 -45.89 -0.45 -5.96 16 15 C 0.46 6.33 7.96 36.01 0.29 6.61 16 16 O -0.51 -7.97 15.73 -18.75 -0.29 -8.27 16 17 C -0.11 -1.07 5.66 -27.88 -0.16 -1.23 16 18 C -0.10 -0.85 3.63 -26.73 -0.10 -0.94 16 19 C -0.09 -0.64 2.93 -89.50 -0.26 -0.90 16 20 C -0.13 -0.83 5.50 -25.03 -0.14 -0.96 16 21 C -0.13 -0.77 6.91 -24.70 -0.17 -0.94 16 22 C -0.13 -0.78 6.83 -25.07 -0.17 -0.95 16 23 C -0.12 -0.79 6.46 -25.61 -0.17 -0.96 16 24 C 0.15 2.80 4.43 -83.69 -0.37 2.43 16 25 C -0.13 -2.06 8.45 -39.39 -0.33 -2.40 16 26 C -0.11 -1.45 10.04 -39.61 -0.40 -1.84 16 27 C -0.13 -1.64 10.04 -39.55 -0.40 -2.04 16 28 C -0.11 -1.43 10.04 -39.61 -0.40 -1.83 16 29 C -0.12 -1.96 9.64 -39.39 -0.38 -2.34 16 30 H 0.26 7.35 8.31 -40.82 -0.34 7.01 16 31 H 0.05 1.39 7.49 -51.93 -0.39 1.01 16 32 H 0.04 1.02 7.82 -51.93 -0.41 0.62 16 33 H 0.10 1.54 6.96 -51.93 -0.36 1.18 16 34 H 0.09 1.48 8.02 -51.93 -0.42 1.06 16 35 H 0.11 0.88 7.48 -51.93 -0.39 0.49 16 36 H 0.11 0.87 8.14 -51.93 -0.42 0.45 16 37 H 0.07 0.66 8.10 -51.93 -0.42 0.24 16 38 H 0.07 0.67 7.98 -51.93 -0.41 0.26 16 39 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 40 H 0.07 0.48 7.77 -51.93 -0.40 0.08 16 41 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 42 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 43 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 44 H 0.06 0.35 8.14 -51.93 -0.42 -0.08 16 45 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 46 H 0.06 0.39 8.14 -51.93 -0.42 -0.04 16 47 H 0.07 0.46 7.67 -51.93 -0.40 0.06 16 48 H 0.12 2.00 7.89 -52.49 -0.41 1.58 16 49 H 0.12 1.33 8.06 -52.49 -0.42 0.91 16 50 H 0.12 1.15 8.06 -52.49 -0.42 0.72 16 51 H 0.12 1.28 8.06 -52.49 -0.42 0.85 16 52 H 0.13 1.94 8.06 -52.49 -0.42 1.52 16 LS Contribution 429.61 15.07 6.47 6.47 Total: -1.00 -33.70 429.61 -11.22 -44.92 By element: Atomic # 1 Polarization: 8.85 SS G_CDS: -8.63 Total: 0.22 kcal Atomic # 6 Polarization: 0.11 SS G_CDS: -3.52 Total: -3.41 kcal Atomic # 7 Polarization: -38.33 SS G_CDS: 0.45 Total: -37.88 kcal Atomic # 8 Polarization: -26.26 SS G_CDS: -0.97 Total: -27.23 kcal Atomic # 14 Polarization: 21.92 SS G_CDS: -5.02 Total: 16.90 kcal Total LS contribution 6.47 Total: 6.47 kcal Total: -33.70 -11.22 -44.92 kcal The number of atoms in the molecule is 52 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. ZINC000003219497.mol2 52 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 -68.617 kcal (2) G-P(sol) polarization free energy of solvation -33.704 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -102.321 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.215 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.919 kcal (6) G-S(sol) free energy of system = (1) + (5) -113.536 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds