Wall clock time and date at job start Tue Mar 31 2020 19:49:43 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 1.30998 * 1 3 3 C 1.50700 * 120.00278 * 2 1 4 4 N 1.46498 * 109.47044 * 124.99896 * 3 2 1 5 5 C 1.46494 * 120.00272 * 270.00018 * 4 3 2 6 6 C 1.50700 * 109.47794 * 270.00445 * 5 4 3 7 7 H 1.08001 * 119.99482 * 0.02562 * 6 5 4 8 8 C 1.37871 * 120.00374 * 180.02562 * 6 5 4 9 9 N 1.31511 * 120.00246 * 359.97438 * 8 6 5 10 10 Si 1.86800 * 120.00118 * 179.97438 * 8 6 5 11 11 H 1.48497 * 109.47125 * 59.99640 * 10 8 6 12 12 H 1.48498 * 109.47477 * 179.97438 * 10 8 6 13 13 H 1.48500 * 109.47301 * 300.00093 * 10 8 6 14 14 C 1.34780 * 119.99711 * 90.00609 * 4 3 2 15 15 O 1.21277 * 119.99855 * 179.97438 * 14 4 3 16 16 C 1.50702 * 119.99943 * 359.97438 * 14 4 3 17 17 C 1.53001 * 109.46638 * 180.02562 * 16 14 4 18 18 H 1.09001 * 109.47009 * 304.99014 * 17 16 14 19 19 C 1.53008 * 109.46508 * 184.99859 * 17 16 14 20 20 N 1.46497 * 109.47201 * 64.99927 * 17 16 14 21 21 C 1.34777 * 119.99525 * 204.99403 * 20 17 16 22 22 O 1.21283 * 120.00463 * 0.02562 * 21 20 17 23 23 C 1.50700 * 119.99675 * 179.72583 * 21 20 17 24 24 C 1.52998 * 109.47092 * 300.27576 * 23 21 20 25 25 C 1.53005 * 109.47342 * 180.02562 * 24 23 21 26 26 C 1.52996 * 109.46953 * 60.00128 * 25 24 23 27 27 C 1.52998 * 109.46992 * 300.00086 * 26 25 24 28 28 C 1.52997 * 109.47441 * 60.00327 * 27 26 25 29 29 H 1.08006 * 119.99872 * 180.02562 * 1 2 3 30 30 H 1.08004 * 120.00110 * 359.97438 * 1 2 3 31 31 H 1.08004 * 120.00110 * 180.02562 * 2 1 3 32 32 H 1.09004 * 109.46499 * 5.00546 * 3 2 1 33 33 H 1.08995 * 109.47318 * 245.00382 * 3 2 1 34 34 H 1.09002 * 109.47004 * 30.00587 * 5 4 3 35 35 H 1.09005 * 109.47063 * 150.00117 * 5 4 3 36 36 H 0.96994 * 120.00487 * 180.02562 * 9 8 6 37 37 H 1.09000 * 109.47319 * 60.00043 * 16 14 4 38 38 H 1.09001 * 109.46713 * 300.00087 * 16 14 4 39 39 H 1.08998 * 109.46811 * 179.97438 * 19 17 16 40 40 H 1.08994 * 109.47201 * 299.99808 * 19 17 16 41 41 H 1.08995 * 109.47273 * 60.00263 * 19 17 16 42 42 H 0.97000 * 120.00580 * 25.00149 * 20 17 16 43 43 H 1.08998 * 109.47585 * 60.27844 * 23 21 20 44 44 H 1.09006 * 109.47458 * 299.99989 * 24 23 21 45 45 H 1.09004 * 109.47239 * 60.00118 * 24 23 21 46 46 H 1.09006 * 109.46726 * 300.00303 * 25 24 23 47 47 H 1.08994 * 109.47101 * 180.02562 * 25 24 23 48 48 H 1.09005 * 109.47125 * 180.02562 * 26 25 24 49 49 H 1.08998 * 109.47408 * 60.00223 * 26 25 24 50 50 H 1.09001 * 109.47857 * 299.99697 * 27 26 25 51 51 H 1.09004 * 109.47239 * 180.02562 * 27 26 25 52 52 H 1.09000 * 109.47849 * 179.97438 * 28 27 26 53 53 H 1.08998 * 109.47443 * 59.99604 * 28 27 26 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 1.3100 0.0000 0.0000 3 6 2.0635 1.3051 0.0000 4 7 2.9938 1.3318 1.1314 5 6 2.5589 1.8648 2.4248 6 6 2.8443 3.3435 2.4805 7 1 3.3032 3.8370 1.6366 8 6 2.5194 4.0663 3.6087 9 7 1.9601 3.4656 4.6362 10 14 2.8738 5.8991 3.6779 11 1 2.1380 6.5871 2.5869 12 1 2.4329 6.4394 4.9890 13 1 4.3317 6.1280 3.5127 14 6 4.2497 0.8661 0.9823 15 8 5.0200 0.8886 1.9188 16 6 4.6969 0.3173 -0.3481 17 6 6.1531 -0.1412 -0.2471 18 1 6.7694 0.6828 0.1124 19 6 6.6457 -0.5822 -1.6270 20 7 6.2473 -1.2655 0.6874 21 6 7.4081 -1.5165 1.3246 22 8 8.3744 -0.8114 1.1249 23 6 7.5033 -2.6693 2.2906 24 6 6.4903 -2.4731 3.4202 25 6 6.5874 -3.6432 4.4013 26 6 7.9995 -3.7016 4.9872 27 6 9.0125 -3.8978 3.8575 28 6 8.9155 -2.7278 2.8765 29 1 -0.5400 -0.9354 0.0004 30 1 -0.5400 0.9353 0.0004 31 1 1.8500 -0.9353 -0.0004 32 1 1.3585 2.1316 0.0897 33 1 2.6213 1.4026 -0.9314 34 1 1.4888 1.6965 2.5459 35 1 3.0991 1.3601 3.2259 36 1 1.7312 3.9741 5.4298 37 1 4.6120 1.0937 -1.1085 38 1 4.0677 -0.5296 -0.6217 39 1 7.6832 -0.9084 -1.5552 40 1 6.0294 -1.4061 -1.9865 41 1 6.5756 0.2543 -2.3222 42 1 5.4744 -1.8294 0.8474 43 1 7.2879 -3.6008 1.7671 44 1 6.7057 -1.5416 3.9438 45 1 5.4842 -2.4310 3.0029 46 1 6.3722 -4.5749 3.8780 47 1 5.8654 -3.5036 5.2058 48 1 8.0688 -4.5355 5.6858 49 1 8.2147 -2.7700 5.5104 50 1 8.7975 -4.8295 3.3343 51 1 10.0186 -3.9399 4.2749 52 1 9.6375 -2.8673 2.0719 53 1 9.1306 -1.7961 3.3997 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 ZINC000292287153.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 19:49:43 Heat of formation + Delta-G solvation = -84.584006 kcal Electronic energy + Delta-G solvation = -30564.348237 eV Core-core repulsion = 26628.174192 eV Total energy + Delta-G solvation = -3936.174045 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.79 seconds Orbital eigenvalues (eV) -40.20137 -39.13384 -37.60441 -35.91236 -35.23689 -33.20649 -32.18003 -31.97714 -30.76717 -30.31765 -28.61169 -26.92230 -25.38669 -24.02807 -22.86857 -22.56716 -21.16925 -20.31434 -19.95313 -19.63784 -18.43583 -17.04325 -16.52690 -16.31380 -16.23478 -15.53934 -15.31120 -14.75988 -14.58167 -14.38431 -14.24064 -14.13288 -14.01378 -13.77526 -13.17821 -13.09324 -12.76395 -12.61288 -12.38673 -12.37109 -12.26369 -12.03112 -11.85229 -11.71794 -11.60029 -11.31906 -11.25839 -11.15221 -11.06467 -10.91347 -10.85259 -10.67482 -10.57456 -10.44878 -10.18997 -10.13977 -9.66268 -9.40762 -9.23708 -8.95954 -8.75458 -8.43214 -7.69251 -6.04544 -4.09296 2.39674 2.91059 3.31512 3.34510 3.36404 3.39735 3.46617 3.95705 4.44561 4.61238 4.64330 4.69885 4.84780 4.94403 5.11804 5.13522 5.17223 5.22137 5.29710 5.32216 5.33430 5.35198 5.41805 5.46239 5.47341 5.53800 5.56936 5.61324 5.68023 5.76341 5.78749 5.96800 5.96828 6.04262 6.06487 6.11402 6.15357 6.17929 6.20113 6.27709 6.29615 6.43130 6.72720 6.73208 6.86402 7.06958 7.43338 7.54055 7.73330 7.91760 8.23187 8.40098 8.50612 8.89760 9.09103 9.56005 11.03421 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009306 B = 0.003453 C = 0.003059 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3008.215110 B = 8107.145344 C = 9151.641275 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.182 4.182 2 C -0.168 4.168 3 C 0.136 3.864 4 N -0.595 5.595 5 C 0.250 3.750 6 C -0.527 4.527 7 H 0.056 0.944 8 C 0.062 3.938 9 N -0.895 5.895 10 Si 0.896 3.104 11 H -0.277 1.277 12 H -0.286 1.286 13 H -0.276 1.276 14 C 0.501 3.499 15 O -0.527 6.527 16 C -0.153 4.153 17 C 0.158 3.842 18 H 0.095 0.905 19 C -0.160 4.160 20 N -0.711 5.711 21 C 0.525 3.475 22 O -0.544 6.544 23 C -0.103 4.103 24 C -0.109 4.109 25 C -0.117 4.117 26 C -0.123 4.123 27 C -0.118 4.118 28 C -0.099 4.099 29 H 0.093 0.907 30 H 0.099 0.901 31 H 0.103 0.897 32 H 0.086 0.914 33 H 0.074 0.926 34 H 0.030 0.970 35 H 0.042 0.958 36 H 0.263 0.737 37 H 0.101 0.899 38 H 0.089 0.911 39 H 0.061 0.939 40 H 0.055 0.945 41 H 0.065 0.935 42 H 0.395 0.605 43 H 0.090 0.910 44 H 0.073 0.927 45 H 0.067 0.933 46 H 0.060 0.940 47 H 0.065 0.935 48 H 0.059 0.941 49 H 0.064 0.936 50 H 0.059 0.941 51 H 0.062 0.938 52 H 0.066 0.934 53 H 0.070 0.930 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.647 -16.367 -9.634 19.552 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 -0.220 4.220 2 C -0.187 4.187 3 C 0.012 3.988 4 N -0.327 5.327 5 C 0.131 3.869 6 C -0.566 4.566 7 H 0.074 0.926 8 C -0.140 4.140 9 N -0.533 5.533 10 Si 0.724 3.276 11 H -0.203 1.203 12 H -0.212 1.212 13 H -0.202 1.202 14 C 0.287 3.713 15 O -0.403 6.403 16 C -0.193 4.193 17 C 0.053 3.947 18 H 0.113 0.887 19 C -0.219 4.219 20 N -0.361 5.361 21 C 0.311 3.689 22 O -0.421 6.421 23 C -0.124 4.124 24 C -0.147 4.147 25 C -0.154 4.154 26 C -0.160 4.160 27 C -0.155 4.155 28 C -0.137 4.137 29 H 0.112 0.888 30 H 0.117 0.883 31 H 0.121 0.879 32 H 0.104 0.896 33 H 0.092 0.908 34 H 0.048 0.952 35 H 0.060 0.940 36 H 0.073 0.927 37 H 0.119 0.881 38 H 0.107 0.893 39 H 0.080 0.920 40 H 0.074 0.926 41 H 0.084 0.916 42 H 0.228 0.772 43 H 0.108 0.892 44 H 0.092 0.908 45 H 0.085 0.915 46 H 0.079 0.921 47 H 0.084 0.916 48 H 0.078 0.922 49 H 0.083 0.917 50 H 0.078 0.922 51 H 0.081 0.919 52 H 0.085 0.915 53 H 0.089 0.911 Dipole moment (debyes) X Y Z Total from point charges 5.684 -15.769 -9.064 19.056 hybrid contribution -0.555 0.820 0.110 0.996 sum 5.129 -14.949 -8.954 18.164 Atomic orbital electron populations 1.23824 0.95894 1.01764 1.00544 1.23411 0.96364 0.98972 0.99953 1.20572 0.93180 0.95254 0.89824 1.48240 1.10552 1.60391 1.13476 1.19221 0.95204 0.93684 0.78818 1.21394 1.40579 0.93405 1.01207 0.92593 1.24913 0.95027 0.98687 0.95337 1.69916 1.42015 1.36241 1.05169 0.86588 0.78879 0.84991 0.77145 1.20271 1.21175 1.20165 1.20274 0.82396 0.79024 0.89646 1.90718 1.52182 1.55686 1.41739 1.22120 0.96734 1.02405 0.98069 1.20645 0.95347 0.90039 0.88720 0.88667 1.22179 1.01838 1.01591 0.96289 1.45831 1.13402 1.31926 1.44957 1.20507 0.82656 0.85556 0.80184 1.90661 1.37119 1.49673 1.64691 1.21321 0.98219 0.97090 0.95812 1.21500 0.97945 0.99635 0.95627 1.21522 0.97008 0.98127 0.98757 1.21571 0.94910 1.01887 0.97635 1.21549 0.99108 0.98243 0.96635 1.21334 0.94529 0.99161 0.98657 0.88823 0.88288 0.87931 0.89565 0.90825 0.95197 0.94015 0.92699 0.88093 0.89288 0.92002 0.92640 0.91637 0.77180 0.89173 0.90787 0.91476 0.92101 0.91583 0.92180 0.91737 0.92180 0.91903 0.91529 0.91075 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.18 -2.20 14.32 29.02 0.42 -1.79 16 2 C -0.17 -2.17 9.74 -36.03 -0.35 -2.53 16 3 C 0.14 2.06 5.65 -5.19 -0.03 2.03 16 4 N -0.60 -11.87 2.44 -176.44 -0.43 -12.30 16 5 C 0.25 6.39 5.16 -5.20 -0.03 6.36 16 6 C -0.53 -14.82 9.39 -34.44 -0.32 -15.14 16 7 H 0.06 1.57 7.81 -52.49 -0.41 1.16 16 8 C 0.06 1.78 5.46 -17.82 -0.10 1.69 16 9 N -0.89 -26.52 13.29 55.43 0.74 -25.78 16 10 Si 0.90 21.96 29.54 -169.99 -5.02 16.94 16 11 H -0.28 -6.56 7.11 56.52 0.40 -6.16 16 12 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 13 H -0.28 -6.85 7.11 56.52 0.40 -6.45 16 14 C 0.50 9.63 7.53 -10.98 -0.08 9.55 16 15 O -0.53 -12.56 14.93 5.56 0.08 -12.48 16 16 C -0.15 -2.01 3.80 -27.88 -0.11 -2.12 16 17 C 0.16 2.19 2.13 -67.93 -0.15 2.05 16 18 H 0.10 1.70 7.39 -51.93 -0.38 1.32 16 19 C -0.16 -1.74 9.48 37.16 0.35 -1.39 16 20 N -0.71 -9.70 4.11 -53.80 -0.22 -9.92 16 21 C 0.52 8.00 7.12 -10.98 -0.08 7.92 16 22 O -0.54 -10.35 15.64 5.55 0.09 -10.26 16 23 C -0.10 -1.24 2.53 -91.77 -0.23 -1.47 16 24 C -0.11 -1.35 5.10 -26.73 -0.14 -1.49 16 25 C -0.12 -1.18 5.92 -26.73 -0.16 -1.34 16 26 C -0.12 -1.19 5.92 -26.73 -0.16 -1.34 16 27 C -0.12 -1.11 5.92 -26.73 -0.16 -1.27 16 28 C -0.10 -1.18 4.49 -26.73 -0.12 -1.30 16 29 H 0.09 0.97 8.06 -52.48 -0.42 0.54 16 30 H 0.10 1.20 7.84 -52.48 -0.41 0.79 16 31 H 0.10 1.20 7.83 -52.48 -0.41 0.79 16 32 H 0.09 1.40 7.72 -51.93 -0.40 1.00 16 33 H 0.07 0.91 6.44 -51.93 -0.33 0.57 16 34 H 0.03 0.79 8.07 -51.93 -0.42 0.37 16 35 H 0.04 1.21 7.42 -51.93 -0.39 0.83 16 36 H 0.26 7.41 8.31 -40.82 -0.34 7.07 16 37 H 0.10 1.16 7.40 -51.93 -0.38 0.78 16 38 H 0.09 0.93 7.77 -51.93 -0.40 0.52 16 39 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 40 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 41 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 42 H 0.39 4.57 8.01 -40.82 -0.33 4.24 16 43 H 0.09 0.87 8.14 -51.93 -0.42 0.45 16 44 H 0.07 1.13 8.14 -51.93 -0.42 0.71 16 45 H 0.07 0.83 7.55 -51.93 -0.39 0.44 16 46 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 47 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 48 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 49 H 0.06 0.69 8.14 -51.93 -0.42 0.26 16 50 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.06 0.55 8.14 -51.93 -0.42 0.12 16 52 H 0.07 0.80 8.10 -51.93 -0.42 0.38 16 53 H 0.07 0.99 8.10 -51.93 -0.42 0.57 16 LS Contribution 424.33 15.07 6.39 6.39 Total: -1.00 -34.52 424.33 -9.52 -44.03 By element: Atomic # 1 Polarization: 14.65 SS G_CDS: -9.71 Total: 4.94 kcal Atomic # 6 Polarization: -0.14 SS G_CDS: -1.43 Total: -1.57 kcal Atomic # 7 Polarization: -48.08 SS G_CDS: 0.08 Total: -48.00 kcal Atomic # 8 Polarization: -22.91 SS G_CDS: 0.17 Total: -22.74 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.02 Total: 16.94 kcal Total LS contribution 6.39 Total: 6.39 kcal Total: -34.52 -9.52 -44.03 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. ZINC000292287153.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 -40.549 kcal (2) G-P(sol) polarization free energy of solvation -34.516 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -75.065 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.519 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.035 kcal (6) G-S(sol) free energy of system = (1) + (5) -84.584 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.79 seconds