Wall clock time and date at job start Tue Mar 31 2020 21:38:28 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 1.31001 * 1 3 3 C 1.50703 * 120.00047 * 2 1 4 4 C 1.52998 * 109.46971 * 5.21880 * 3 2 1 5 5 C 1.53004 * 109.47197 * 245.21878 * 3 2 1 6 6 C 1.50695 * 109.47201 * 125.21907 * 3 2 1 7 7 O 1.21282 * 120.00254 * 245.50534 * 6 3 2 8 8 N 1.34777 * 119.99996 * 65.50518 * 6 3 2 9 9 C 1.47161 * 120.98871 * 355.21067 * 8 6 3 10 10 C 1.53304 * 108.36644 * 230.62804 * 9 8 6 11 11 H 1.08997 * 109.51311 * 67.57148 * 10 9 8 12 12 C 1.53007 * 109.50832 * 187.71987 * 10 9 8 13 13 O 1.42969 * 109.22953 * 307.64232 * 10 9 8 14 14 C 1.42894 * 114.21145 * 62.49252 * 13 10 9 15 15 C 1.52979 * 109.56433 * 57.49042 * 14 13 10 16 16 C 1.53187 * 109.35715 * 59.05429 * 15 14 13 17 17 N 1.46934 * 108.77613 * 54.56697 * 16 15 14 18 18 C 1.36937 * 120.64239 * 126.35614 * 17 16 15 19 19 H 1.08001 * 119.99572 * 214.87158 * 18 17 16 20 20 C 1.38809 * 120.00008 * 34.85809 * 18 17 16 21 21 N 1.31622 * 120.00458 * 5.18980 * 20 18 17 22 22 Si 1.86803 * 119.99629 * 185.18309 * 20 18 17 23 23 H 1.48497 * 109.46951 * 90.00943 * 22 20 18 24 24 H 1.48507 * 109.46875 * 210.00446 * 22 20 18 25 25 H 1.48492 * 109.47397 * 330.00064 * 22 20 18 26 26 C 1.46920 * 118.71529 * 306.32839 * 17 16 15 27 27 C 1.52996 * 109.54493 * 177.79404 * 14 13 10 28 28 C 1.47155 * 120.98883 * 175.23466 * 8 6 3 29 29 H 1.08003 * 119.99657 * 180.02562 * 1 2 3 30 30 H 1.07994 * 120.00020 * 359.97438 * 1 2 3 31 31 H 1.08005 * 120.00353 * 180.02562 * 2 1 3 32 32 H 1.09002 * 109.47004 * 175.02048 * 4 3 2 33 33 H 1.09002 * 109.46919 * 295.01736 * 4 3 2 34 34 H 1.09002 * 109.47129 * 55.01939 * 4 3 2 35 35 H 1.08998 * 109.47237 * 305.06966 * 5 3 2 36 36 H 1.09003 * 109.46690 * 65.06131 * 5 3 2 37 37 H 1.08998 * 109.47015 * 185.06592 * 5 3 2 38 38 H 1.08996 * 109.68325 * 350.34822 * 9 8 6 39 39 H 1.09002 * 109.68248 * 110.90828 * 9 8 6 40 40 H 1.08999 * 109.47069 * 59.99677 * 12 10 9 41 41 H 1.08994 * 109.47204 * 179.97438 * 12 10 9 42 42 H 1.09002 * 109.46824 * 299.99940 * 12 10 9 43 43 H 1.09005 * 109.48749 * 179.01910 * 15 14 13 44 44 H 1.09011 * 109.49025 * 299.08406 * 15 14 13 45 45 H 1.09004 * 109.58278 * 294.77994 * 16 15 14 46 46 H 1.09001 * 109.58954 * 174.35689 * 16 15 14 47 47 H 0.97001 * 120.00280 * 179.97438 * 21 20 18 48 48 H 1.09004 * 109.58646 * 293.89286 * 26 17 16 49 49 H 1.08999 * 109.59044 * 173.46788 * 26 17 16 50 50 H 1.08993 * 109.49370 * 60.90624 * 27 14 13 51 51 H 1.09006 * 109.48913 * 180.97903 * 27 14 13 52 52 H 1.08994 * 109.67440 * 249.22146 * 28 8 6 53 53 H 1.08994 * 109.67514 * 9.72920 * 28 8 6 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 6 1.0745 2.4650 0.1312 5 6 2.8422 1.4445 -1.3097 6 6 3.0243 1.3305 1.1607 7 8 2.8675 2.1285 2.0604 8 7 4.0578 0.4663 1.1990 9 6 4.2099 -0.5790 0.1743 10 6 4.4159 -1.9231 0.8823 11 1 3.5006 -2.2044 1.4029 12 6 4.7679 -2.9958 -0.1504 13 8 5.4832 -1.7998 1.8255 14 6 5.2349 -0.8587 2.8717 15 6 3.9563 -1.2465 3.6167 16 6 4.1143 -2.6553 4.1972 17 7 5.3295 -2.6932 5.0223 18 6 5.2787 -3.1275 6.3200 19 1 5.9177 -2.6775 7.0654 20 6 4.4057 -4.1458 6.6774 21 7 3.7013 -4.7636 5.7530 22 14 4.2308 -4.6396 8.4705 23 1 3.1559 -3.8337 9.1032 24 1 3.8838 -6.0811 8.5553 25 1 5.5134 -4.3969 9.1782 26 6 6.6002 -2.2568 4.4280 27 6 6.4152 -0.8522 3.8451 28 6 5.0676 0.5396 2.2669 29 1 -0.5400 -0.9354 0.0004 30 1 -0.5400 0.9353 0.0004 31 1 1.8501 -0.9353 -0.0004 32 1 1.6236 3.4024 0.2202 33 1 0.4364 2.5001 -0.7519 34 1 0.4588 2.3189 1.0188 35 1 3.4815 0.5724 -1.4469 36 1 2.1425 1.5165 -2.1424 37 1 3.4571 2.3437 -1.2728 38 1 3.3119 -0.6224 -0.4419 39 1 5.0746 -0.3570 -0.4511 40 1 5.6845 -2.7143 -0.6688 41 1 4.9147 -3.9510 0.3536 42 1 3.9557 -3.0862 -0.8717 43 1 3.7775 -0.5378 4.4254 44 1 3.1135 -1.2302 2.9255 45 1 4.2012 -3.3773 3.3852 46 1 3.2473 -2.8965 4.8122 47 1 3.0915 -5.4755 6.0027 48 1 6.8886 -2.9465 3.6347 49 1 7.3742 -2.2351 5.1952 50 1 7.3210 -0.5556 3.3164 51 1 6.2172 -0.1468 4.6521 52 1 6.0174 0.8758 1.8514 53 1 4.7369 1.2360 3.0374 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 ZINC001098619985.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 21:38:28 Heat of formation + Delta-G solvation = -20.172764 kcal Electronic energy + Delta-G solvation = -32511.364395 eV Core-core repulsion = 28577.983432 eV Total energy + Delta-G solvation = -3933.380964 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.13 seconds Orbital eigenvalues (eV) -41.07137 -39.20658 -36.63644 -36.27493 -34.55956 -33.49594 -31.48525 -31.10049 -30.06662 -29.67500 -27.96009 -26.91056 -26.38892 -24.60416 -23.34486 -22.56353 -21.64593 -20.94168 -19.84948 -18.93622 -18.79859 -17.01354 -16.82279 -16.43289 -15.86580 -15.42751 -15.21767 -14.71166 -14.65775 -14.37011 -14.24087 -13.91273 -13.54912 -13.36604 -13.19995 -12.99068 -12.72764 -12.65050 -12.49238 -12.37740 -12.16967 -11.98656 -11.85871 -11.68730 -11.48269 -11.43425 -11.37875 -11.32480 -10.93606 -10.77672 -10.76412 -10.49605 -10.31414 -10.20730 -10.16403 -9.93054 -9.76785 -9.53980 -9.32858 -9.22045 -8.42587 -8.29429 -6.48428 -5.73651 -3.24857 1.95369 2.68169 2.93643 3.39754 3.46002 3.47438 3.92497 4.26889 4.44232 4.52482 4.66097 4.73229 4.81817 4.87391 5.06188 5.13662 5.17631 5.27814 5.33969 5.37002 5.45568 5.47780 5.50845 5.52228 5.56178 5.59475 5.64784 5.68818 5.73893 5.82602 5.87827 5.92827 6.04393 6.07781 6.12373 6.22165 6.33887 6.36170 6.40133 6.48507 6.48685 6.52141 6.62679 6.73792 6.88967 7.12231 7.38017 7.46783 7.63764 7.78315 7.83667 8.16434 8.56026 9.29490 9.89723 10.51003 11.34169 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015337 B = 0.003664 C = 0.003514 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1825.206675 B = 7639.281150 C = 7966.248647 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.175 4.175 2 C -0.163 4.163 3 C -0.053 4.053 4 C -0.129 4.129 5 C -0.150 4.150 6 C 0.530 3.470 7 O -0.537 6.537 8 N -0.605 5.605 9 C 0.061 3.939 10 C 0.069 3.931 11 H 0.069 0.931 12 C -0.142 4.142 13 O -0.355 6.355 14 C 0.120 3.880 15 C -0.160 4.160 16 C 0.183 3.817 17 N -0.591 5.591 18 C -0.253 4.253 19 H 0.062 0.938 20 C 0.007 3.993 21 N -0.905 5.905 22 Si 0.903 3.097 23 H -0.288 1.288 24 H -0.290 1.290 25 H -0.278 1.278 26 C 0.152 3.848 27 C -0.118 4.118 28 C 0.088 3.912 29 H 0.103 0.897 30 H 0.106 0.894 31 H 0.120 0.880 32 H 0.063 0.937 33 H 0.063 0.937 34 H 0.066 0.934 35 H 0.074 0.926 36 H 0.068 0.932 37 H 0.062 0.938 38 H 0.108 0.892 39 H 0.074 0.926 40 H 0.062 0.938 41 H 0.072 0.928 42 H 0.067 0.933 43 H 0.062 0.938 44 H 0.047 0.953 45 H 0.021 0.979 46 H 0.084 0.916 47 H 0.253 0.747 48 H 0.027 0.973 49 H 0.052 0.948 50 H 0.058 0.942 51 H 0.072 0.928 52 H 0.068 0.932 53 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.327 10.055 -17.845 20.615 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 -0.211 4.211 2 C -0.180 4.180 3 C -0.056 4.056 4 C -0.186 4.186 5 C -0.207 4.207 6 C 0.317 3.683 7 O -0.414 6.414 8 N -0.338 5.338 9 C -0.062 4.062 10 C 0.010 3.990 11 H 0.087 0.913 12 C -0.200 4.200 13 O -0.275 6.275 14 C 0.080 3.920 15 C -0.199 4.199 16 C 0.057 3.943 17 N -0.314 5.314 18 C -0.383 4.383 19 H 0.080 0.920 20 C -0.191 4.191 21 N -0.549 5.549 22 Si 0.733 3.267 23 H -0.215 1.215 24 H -0.217 1.217 25 H -0.204 1.204 26 C 0.025 3.975 27 C -0.157 4.157 28 C -0.035 4.035 29 H 0.121 0.879 30 H 0.124 0.876 31 H 0.138 0.862 32 H 0.082 0.918 33 H 0.082 0.918 34 H 0.085 0.915 35 H 0.093 0.907 36 H 0.087 0.913 37 H 0.081 0.919 38 H 0.125 0.875 39 H 0.092 0.908 40 H 0.081 0.919 41 H 0.091 0.909 42 H 0.086 0.914 43 H 0.080 0.920 44 H 0.066 0.934 45 H 0.039 0.961 46 H 0.102 0.898 47 H 0.063 0.937 48 H 0.045 0.955 49 H 0.070 0.930 50 H 0.077 0.923 51 H 0.090 0.910 52 H 0.086 0.914 53 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -2.344 10.243 -17.329 20.266 hybrid contribution -0.380 -0.218 0.889 0.991 sum -2.723 10.025 -16.439 19.447 Atomic orbital electron populations 1.24090 0.95876 1.02599 0.98544 1.22926 0.96251 0.96674 1.02193 1.19865 0.95323 0.95937 0.94500 1.21736 0.98174 0.96629 1.02054 1.22153 1.00359 1.03240 0.94959 1.20393 0.80706 0.80080 0.87080 1.90683 1.73118 1.39194 1.38364 1.48020 1.25962 1.31974 1.27804 1.23102 1.03491 0.88319 0.91286 1.22418 0.92677 0.93310 0.90590 0.91322 1.21706 1.01812 0.98885 0.97559 1.88000 1.40012 1.61826 1.37612 1.21700 0.97430 0.85962 0.86941 1.22718 0.95085 1.03052 0.99071 1.20645 0.91371 0.88797 0.93484 1.43944 1.01477 1.75644 1.10319 1.19166 1.21998 1.12323 0.84778 0.92008 1.25262 1.00424 0.96000 0.97445 1.69950 1.28702 1.24984 1.31268 0.86286 0.77981 0.77546 0.84908 1.21467 1.21662 1.20385 1.20803 0.89694 0.91257 0.95706 1.21999 0.95261 1.01653 0.96822 1.22465 0.90813 0.99483 0.90718 0.87872 0.87602 0.86222 0.91772 0.91815 0.91488 0.90723 0.91276 0.91896 0.87454 0.90789 0.91928 0.90935 0.91404 0.91962 0.93393 0.96114 0.89806 0.93698 0.95513 0.92951 0.92330 0.90961 0.91370 0.88477 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 -0.17 -1.60 13.69 29.01 0.40 -1.21 16 2 C -0.16 -1.66 7.83 -36.03 -0.28 -1.94 16 3 C -0.05 -0.57 0.73 -156.81 -0.11 -0.69 16 4 C -0.13 -1.31 6.44 37.16 0.24 -1.08 16 5 C -0.15 -1.24 8.07 37.16 0.30 -0.94 16 6 C 0.53 7.73 6.48 -10.99 -0.07 7.66 16 7 O -0.54 -9.80 15.45 5.56 0.09 -9.71 16 8 N -0.60 -8.42 2.51 -172.29 -0.43 -8.85 16 9 C 0.06 0.69 3.63 -3.52 -0.01 0.68 16 10 C 0.07 0.95 3.02 -26.57 -0.08 0.87 16 11 H 0.07 1.08 6.29 -51.93 -0.33 0.75 16 12 C -0.14 -1.59 9.57 37.16 0.36 -1.24 16 13 O -0.36 -6.13 8.64 -35.23 -0.30 -6.43 16 14 C 0.12 2.10 0.68 -90.50 -0.06 2.03 16 15 C -0.16 -3.24 4.33 -26.65 -0.12 -3.36 16 16 C 0.18 4.48 4.99 -3.71 -0.02 4.46 16 17 N -0.59 -15.14 2.98 -172.32 -0.51 -15.65 16 18 C -0.25 -7.06 9.56 -15.06 -0.14 -7.20 16 19 H 0.06 1.70 7.83 -52.49 -0.41 1.29 16 20 C 0.01 0.21 5.15 -17.43 -0.09 0.12 16 21 N -0.90 -26.52 11.01 55.49 0.61 -25.91 16 22 Si 0.90 22.00 29.56 -169.99 -5.02 16.98 16 23 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 24 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 25 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 26 C 0.15 3.29 6.28 -3.71 -0.02 3.27 16 27 C -0.12 -2.11 5.10 -26.63 -0.14 -2.25 16 28 C 0.09 1.36 5.31 -3.55 -0.02 1.34 16 29 H 0.10 0.84 8.06 -52.48 -0.42 0.42 16 30 H 0.11 0.88 5.72 -52.49 -0.30 0.58 16 31 H 0.12 1.19 5.82 -52.48 -0.31 0.89 16 32 H 0.06 0.69 8.04 -51.93 -0.42 0.28 16 33 H 0.06 0.49 7.56 -51.93 -0.39 0.10 16 34 H 0.07 0.77 7.44 -51.93 -0.39 0.38 16 35 H 0.07 0.56 4.66 -51.93 -0.24 0.32 16 36 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 37 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 38 H 0.11 0.99 2.68 -51.93 -0.14 0.85 16 39 H 0.07 0.76 8.02 -51.93 -0.42 0.34 16 40 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 41 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 42 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 43 H 0.06 1.35 8.14 -51.93 -0.42 0.92 16 44 H 0.05 0.93 6.16 -51.92 -0.32 0.61 16 45 H 0.02 0.54 7.83 -51.93 -0.41 0.13 16 46 H 0.08 2.33 6.20 -51.93 -0.32 2.01 16 47 H 0.25 7.17 8.31 -40.82 -0.34 6.83 16 48 H 0.03 0.61 7.83 -51.93 -0.41 0.20 16 49 H 0.05 1.10 7.93 -51.93 -0.41 0.69 16 50 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 51 H 0.07 1.30 8.14 -51.93 -0.42 0.88 16 52 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 53 H 0.10 1.65 7.06 -51.93 -0.37 1.28 16 LS Contribution 389.02 15.07 5.86 5.86 Total: -1.00 -32.38 389.02 -8.52 -40.90 By element: Atomic # 1 Polarization: 11.20 SS G_CDS: -8.93 Total: 2.27 kcal Atomic # 6 Polarization: 0.42 SS G_CDS: 0.13 Total: 0.55 kcal Atomic # 7 Polarization: -50.07 SS G_CDS: -0.33 Total: -50.41 kcal Atomic # 8 Polarization: -15.92 SS G_CDS: -0.22 Total: -16.14 kcal Atomic # 14 Polarization: 22.00 SS G_CDS: -5.02 Total: 16.98 kcal Total LS contribution 5.86 Total: 5.86 kcal Total: -32.38 -8.52 -40.90 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. ZINC001098619985.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 20.731 kcal (2) G-P(sol) polarization free energy of solvation -32.381 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -11.650 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.523 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.904 kcal (6) G-S(sol) free energy of system = (1) + (5) -20.173 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.13 seconds