Wall clock time and date at job start Sat Apr 11 2020 06:14:28 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 1.52994 * 1 3 3 N 1.46500 * 109.47391 * 2 1 4 4 C 1.34771 * 120.00472 * 179.97438 * 3 2 1 5 5 O 1.21598 * 119.99656 * 0.02562 * 4 3 2 6 6 N 1.34776 * 120.00349 * 180.02562 * 4 3 2 7 7 C 1.46500 * 119.99892 * 180.02562 * 6 4 3 8 8 C 1.52997 * 109.47343 * 59.99733 * 7 6 4 9 9 C 1.52996 * 109.46852 * 299.99336 * 7 6 4 10 10 C 1.50699 * 109.46647 * 179.97438 * 7 6 4 11 11 O 1.21289 * 119.99678 * 144.99749 * 10 7 6 12 12 N 1.34776 * 120.00337 * 324.99613 * 10 7 6 13 13 C 1.46498 * 120.00157 * 180.27543 * 12 10 7 14 14 C 1.52999 * 109.47509 * 179.72816 * 13 12 10 15 15 C 1.52993 * 109.47306 * 175.02387 * 14 13 12 16 16 C 1.52994 * 115.55361 * 278.02797 * 15 14 13 17 17 N 1.46498 * 109.47311 * 303.90426 * 16 15 14 18 18 C 1.36932 * 120.00133 * 175.58918 * 17 16 15 19 19 H 1.08002 * 120.00228 * 359.97438 * 18 17 16 20 20 C 1.38815 * 120.00374 * 179.97438 * 18 17 16 21 21 N 1.31623 * 119.99461 * 0.02562 * 20 18 17 22 22 Si 1.86794 * 120.00518 * 179.97438 * 20 18 17 23 23 H 1.48501 * 109.46908 * 0.02562 * 22 20 18 24 24 H 1.48497 * 109.47031 * 119.99759 * 22 20 18 25 25 H 1.48502 * 109.47021 * 240.00103 * 22 20 18 26 26 C 1.53007 * 117.49511 * 132.32265 * 15 14 13 27 27 C 1.53001 * 60.00079 * 252.50859 * 26 15 14 28 28 H 1.08997 * 109.47453 * 59.99627 * 1 2 3 29 29 H 1.09009 * 109.47398 * 179.97438 * 1 2 3 30 30 H 1.09003 * 109.47094 * 299.99603 * 1 2 3 31 31 H 1.09006 * 109.46948 * 239.99886 * 2 1 3 32 32 H 1.08999 * 109.47029 * 120.00074 * 2 1 3 33 33 H 0.97005 * 119.99272 * 0.02562 * 3 2 1 34 34 H 0.96999 * 119.99618 * 359.97438 * 6 4 3 35 35 H 1.09006 * 109.47037 * 180.02562 * 8 7 6 36 36 H 1.09001 * 109.47086 * 300.00004 * 8 7 6 37 37 H 1.08999 * 109.47279 * 60.00175 * 8 7 6 38 38 H 1.08996 * 109.47609 * 300.00234 * 9 7 6 39 39 H 1.09001 * 109.47316 * 60.01066 * 9 7 6 40 40 H 1.09006 * 109.47080 * 180.02562 * 9 7 6 41 41 H 0.96993 * 119.99695 * 0.02562 * 12 10 7 42 42 H 1.09007 * 109.47341 * 299.72797 * 13 12 10 43 43 H 1.09004 * 109.46896 * 59.72355 * 13 12 10 44 44 H 1.09006 * 109.46303 * 295.02368 * 14 13 12 45 45 H 1.08996 * 109.47109 * 55.01910 * 14 13 12 46 46 H 1.09004 * 109.46723 * 63.90248 * 16 15 14 47 47 H 1.08994 * 109.47478 * 183.89959 * 16 15 14 48 48 H 0.97001 * 119.99661 * 355.59221 * 17 16 15 49 49 H 0.97009 * 120.00052 * 180.02562 * 21 20 18 50 50 H 1.08991 * 117.49896 * 0.02562 * 26 15 14 51 51 H 1.09005 * 117.49414 * 145.01762 * 26 15 14 52 52 H 1.08996 * 117.49992 * 252.50878 * 27 26 15 53 53 H 1.09004 * 117.49813 * 107.49126 * 27 26 15 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 7 2.0183 1.3812 0.0000 4 6 3.3434 1.6275 0.0005 5 8 4.1335 0.7032 0.0005 6 7 3.7926 2.8982 0.0010 7 6 5.2330 3.1658 0.0010 8 6 5.8661 2.5504 -1.2484 9 6 5.8662 2.5494 1.2500 10 6 5.4672 4.6545 0.0010 11 8 6.4114 5.1198 0.6036 12 7 4.6275 5.4688 -0.6685 13 6 4.8586 6.9154 -0.6734 14 6 3.7739 7.6025 -1.5054 15 6 3.9420 9.1201 -1.4093 16 6 3.3441 9.7726 -0.1612 17 7 1.9214 9.4359 -0.0681 18 6 1.1932 9.8353 1.0206 19 1 1.6677 10.3981 1.8109 20 6 -0.1551 9.5168 1.1087 21 7 -0.7333 8.8305 0.1458 22 14 -1.1484 10.0609 2.5941 23 1 -0.2713 10.8120 3.5278 24 1 -2.2630 10.9361 2.1506 25 1 -1.7004 8.8676 3.2845 26 6 3.9010 9.9194 -2.7133 27 6 5.2276 9.7258 -1.9761 28 1 -0.3634 0.5139 -0.8899 29 1 -0.3634 -1.0277 -0.0005 30 1 -0.3633 0.5138 0.8900 31 1 1.8933 -0.5139 -0.8900 32 1 1.8933 -0.5138 0.8900 33 1 1.3879 2.1185 0.0004 34 1 3.1623 3.6354 0.0007 35 1 6.9379 2.7492 -1.2482 36 1 5.6966 1.4736 -1.2489 37 1 5.4150 2.9895 -2.1382 38 1 5.4151 2.9879 2.1402 39 1 5.6968 1.4727 1.2496 40 1 6.9378 2.7490 1.2503 41 1 3.8722 5.0967 -1.1500 42 1 4.8256 7.2922 0.3489 43 1 5.8366 7.1256 -1.1067 44 1 3.8635 7.2921 -2.5465 45 1 2.7918 7.3209 -1.1256 46 1 3.8630 9.4058 0.7244 47 1 3.4579 10.8546 -0.2269 48 1 1.4953 8.9301 -0.7777 49 1 -1.6756 8.6082 0.2071 50 1 3.7539 9.3640 -3.6395 51 1 3.4478 10.9103 -2.6822 52 1 5.6473 10.5893 -1.4601 53 1 5.9537 9.0430 -2.4174 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 ZINC001167376363.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 06:14:28 Heat of formation + Delta-G solvation = -37.312589 kcal Electronic energy + Delta-G solvation = -30583.851960 eV Core-core repulsion = 26491.564457 eV Total energy + Delta-G solvation = -4092.287503 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.94656 -39.55914 -38.35279 -36.28975 -35.08230 -34.91965 -33.99138 -32.14862 -30.85180 -30.02134 -29.79939 -27.36979 -26.08017 -24.72011 -23.36928 -22.81756 -22.49262 -21.72601 -21.23004 -19.89844 -19.08477 -18.42068 -17.47986 -17.12078 -16.06299 -15.93610 -15.87107 -15.61756 -15.14779 -14.78370 -14.51836 -14.47356 -14.35599 -14.16274 -13.90040 -13.60719 -13.18738 -12.95782 -12.78175 -12.71610 -12.42538 -12.37635 -12.18229 -12.09739 -12.06162 -11.92770 -11.75988 -11.49614 -11.40992 -11.18293 -10.99284 -10.89844 -10.66236 -10.34538 -10.16520 -9.97101 -9.77501 -9.64511 -9.51033 -9.37700 -9.12915 -9.09365 -8.89517 -6.95449 -5.82117 -3.09547 2.20054 2.68115 2.96666 3.03396 3.39086 3.45979 3.47361 3.94765 4.00736 4.42027 4.56554 4.70655 4.79174 4.83102 4.86916 4.96701 5.04769 5.07602 5.10569 5.26807 5.42737 5.48534 5.52141 5.54966 5.56753 5.62609 5.64737 5.66187 5.70847 5.76462 5.80034 5.86845 6.00755 6.10434 6.12165 6.15298 6.18426 6.22391 6.33349 6.36948 6.38845 6.40455 6.52884 6.63295 6.71815 6.78846 7.35157 7.66743 7.76029 8.05753 8.37285 8.39332 9.49267 10.06908 10.42762 11.40817 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.007617 B = 0.003219 C = 0.002496 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3675.205987 B = 8697.421897 C =11214.867779 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.167 4.167 2 C 0.135 3.865 3 N -0.747 5.747 4 C 0.711 3.289 5 O -0.585 6.585 6 N -0.742 5.742 7 C 0.181 3.819 8 C -0.159 4.159 9 C -0.151 4.151 10 C 0.516 3.484 11 O -0.526 6.526 12 N -0.723 5.723 13 C 0.124 3.876 14 C -0.092 4.092 15 C -0.118 4.118 16 C 0.187 3.813 17 N -0.727 5.727 18 C -0.236 4.236 19 H 0.070 0.930 20 C -0.013 4.013 21 N -0.934 5.934 22 Si 0.905 3.095 23 H -0.280 1.280 24 H -0.292 1.292 25 H -0.292 1.292 26 C -0.166 4.166 27 C -0.177 4.177 28 H 0.063 0.937 29 H 0.074 0.926 30 H 0.063 0.937 31 H 0.065 0.935 32 H 0.065 0.935 33 H 0.399 0.601 34 H 0.398 0.602 35 H 0.070 0.930 36 H 0.093 0.907 37 H 0.058 0.942 38 H 0.057 0.943 39 H 0.087 0.913 40 H 0.074 0.926 41 H 0.398 0.602 42 H 0.075 0.925 43 H 0.066 0.934 44 H 0.061 0.939 45 H 0.089 0.911 46 H 0.026 0.974 47 H 0.018 0.982 48 H 0.384 0.616 49 H 0.253 0.747 50 H 0.088 0.912 51 H 0.095 0.905 52 H 0.092 0.908 53 H 0.089 0.911 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.083 -14.491 -5.855 17.595 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 -0.225 4.225 2 C 0.010 3.990 3 N -0.403 5.403 4 C 0.411 3.589 5 O -0.463 6.463 6 N -0.401 5.401 7 C 0.092 3.908 8 C -0.218 4.218 9 C -0.209 4.209 10 C 0.300 3.700 11 O -0.401 6.401 12 N -0.375 5.375 13 C 0.001 3.999 14 C -0.130 4.130 15 C -0.119 4.119 16 C 0.060 3.940 17 N -0.372 5.372 18 C -0.367 4.367 19 H 0.088 0.912 20 C -0.209 4.209 21 N -0.583 5.583 22 Si 0.736 3.264 23 H -0.206 1.206 24 H -0.219 1.219 25 H -0.219 1.219 26 C -0.203 4.203 27 C -0.215 4.215 28 H 0.082 0.918 29 H 0.093 0.907 30 H 0.082 0.918 31 H 0.084 0.916 32 H 0.083 0.917 33 H 0.233 0.767 34 H 0.234 0.766 35 H 0.089 0.911 36 H 0.112 0.888 37 H 0.077 0.923 38 H 0.077 0.923 39 H 0.105 0.895 40 H 0.093 0.907 41 H 0.233 0.767 42 H 0.093 0.907 43 H 0.084 0.916 44 H 0.080 0.920 45 H 0.108 0.892 46 H 0.044 0.956 47 H 0.036 0.964 48 H 0.218 0.782 49 H 0.063 0.937 50 H 0.107 0.893 51 H 0.113 0.887 52 H 0.111 0.889 53 H 0.108 0.892 Dipole moment (debyes) X Y Z Total from point charges 9.471 -14.915 -5.240 18.429 hybrid contribution -1.901 0.848 0.296 2.102 sum 7.570 -14.067 -4.944 16.722 Atomic orbital electron populations 1.22028 0.94370 1.03206 1.02877 1.21143 0.93924 0.81646 1.02243 1.45251 1.05395 1.09403 1.80280 1.15830 0.82619 0.83033 0.77444 1.90863 1.54545 1.43250 1.57683 1.45327 1.07135 1.06807 1.80838 1.20389 0.80243 0.91182 0.99018 1.22209 1.00861 1.03910 0.94789 1.22079 1.01298 1.02679 0.94852 1.20449 0.82922 0.87937 0.78708 1.90736 1.30121 1.76344 1.42896 1.46138 1.30164 1.08197 1.53019 1.21419 0.98816 0.77897 1.01793 1.21266 0.99805 0.92741 0.99167 1.21556 1.00732 0.93290 0.96358 1.20180 0.86335 0.95482 0.92027 1.42304 1.03890 1.66694 1.24266 1.19289 0.91456 1.28133 0.97843 0.91217 1.24691 0.96807 1.01122 0.98275 1.69668 1.11211 1.44317 1.33131 0.86147 0.80226 0.77785 0.82248 1.20568 1.21896 1.21923 1.22997 1.00244 1.01871 0.95206 1.22969 0.90894 1.03174 1.04464 0.91812 0.90744 0.91795 0.91648 0.91666 0.76677 0.76636 0.91098 0.88833 0.92279 0.92339 0.89454 0.90718 0.76701 0.90691 0.91610 0.91985 0.89226 0.95623 0.96424 0.78180 0.93669 0.89320 0.88685 0.88912 0.89208 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 -0.17 -0.96 10.03 37.15 0.37 -0.58 16 2 C 0.13 1.06 6.39 -4.04 -0.03 1.03 16 3 N -0.75 -6.58 5.56 -65.23 -0.36 -6.94 16 4 C 0.71 8.06 7.98 -86.92 -0.69 7.37 16 5 O -0.59 -8.26 12.55 5.28 0.07 -8.19 16 6 N -0.74 -7.60 4.86 -53.51 -0.26 -7.86 16 7 C 0.18 2.10 0.98 -132.98 -0.13 1.97 16 8 C -0.16 -1.69 8.38 37.16 0.31 -1.38 16 9 C -0.15 -1.87 7.93 37.16 0.29 -1.57 16 10 C 0.52 6.88 6.65 -10.99 -0.07 6.80 16 11 O -0.53 -8.86 16.10 5.55 0.09 -8.77 16 12 N -0.72 -8.53 5.25 -60.29 -0.32 -8.84 16 13 C 0.12 1.65 5.49 -4.04 -0.02 1.63 16 14 C -0.09 -1.25 5.20 -26.73 -0.14 -1.39 16 15 C -0.12 -1.79 1.65 -154.51 -0.25 -2.05 16 16 C 0.19 3.64 6.15 -4.05 -0.02 3.62 16 17 N -0.73 -17.44 5.23 -59.91 -0.31 -17.75 16 18 C -0.24 -6.40 9.99 -15.06 -0.15 -6.55 16 19 H 0.07 1.87 7.83 -52.49 -0.41 1.46 16 20 C -0.01 -0.37 5.50 -17.43 -0.10 -0.46 16 21 N -0.93 -26.96 13.06 55.49 0.72 -26.23 16 22 Si 0.90 21.90 29.55 -169.99 -5.02 16.87 16 23 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 24 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 25 H -0.29 -7.09 7.11 56.52 0.40 -6.68 16 26 C -0.17 -2.29 9.87 -26.73 -0.26 -2.56 16 27 C -0.18 -2.25 9.58 -26.73 -0.26 -2.51 16 28 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 29 H 0.07 0.35 8.14 -51.92 -0.42 -0.07 16 30 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 31 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 33 H 0.40 2.82 8.49 -40.82 -0.35 2.48 16 34 H 0.40 3.56 7.25 -40.82 -0.30 3.26 16 35 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 36 H 0.09 1.10 6.16 -51.93 -0.32 0.78 16 37 H 0.06 0.57 8.14 -51.93 -0.42 0.14 16 38 H 0.06 0.76 8.14 -51.93 -0.42 0.33 16 39 H 0.09 1.13 6.16 -51.93 -0.32 0.81 16 40 H 0.07 0.91 7.87 -51.93 -0.41 0.50 16 41 H 0.40 3.84 7.22 -40.82 -0.29 3.54 16 42 H 0.07 1.19 7.96 -51.92 -0.41 0.77 16 43 H 0.07 0.87 7.72 -51.93 -0.40 0.47 16 44 H 0.06 0.73 7.93 -51.93 -0.41 0.32 16 45 H 0.09 1.43 6.94 -51.93 -0.36 1.07 16 46 H 0.03 0.52 7.96 -51.93 -0.41 0.10 16 47 H 0.02 0.36 8.10 -51.93 -0.42 -0.06 16 48 H 0.38 9.57 6.80 -40.82 -0.28 9.29 16 49 H 0.25 7.09 8.31 -40.82 -0.34 6.75 16 50 H 0.09 1.10 8.07 -51.93 -0.42 0.68 16 51 H 0.09 1.40 8.14 -51.93 -0.42 0.97 16 52 H 0.09 1.15 8.14 -51.93 -0.42 0.73 16 53 H 0.09 1.01 7.90 -51.93 -0.41 0.60 16 LS Contribution 425.34 15.07 6.41 6.41 Total: -1.00 -32.78 425.34 -9.42 -42.21 By element: Atomic # 1 Polarization: 25.03 SS G_CDS: -9.29 Total: 15.74 kcal Atomic # 6 Polarization: 4.52 SS G_CDS: -1.15 Total: 3.37 kcal Atomic # 7 Polarization: -67.10 SS G_CDS: -0.53 Total: -67.63 kcal Atomic # 8 Polarization: -17.12 SS G_CDS: 0.16 Total: -16.96 kcal Atomic # 14 Polarization: 21.90 SS G_CDS: -5.02 Total: 16.87 kcal Total LS contribution 6.41 Total: 6.41 kcal Total: -32.78 -9.42 -42.21 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. ZINC001167376363.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 4.893 kcal (2) G-P(sol) polarization free energy of solvation -32.782 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -27.889 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.423 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.205 kcal (6) G-S(sol) free energy of system = (1) + (5) -37.313 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds