Wall clock time and date at job start Tue Mar 31 2020 23:40:34 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 H 1.09008 * 109.98573 * 2 1 4 4 O 1.43745 * 109.88048 * 238.92122 * 2 1 3 5 5 C 1.44385 * 106.97376 * 214.05846 * 4 2 1 6 6 C 1.54994 * 103.48704 * 40.05867 * 5 4 2 7 7 C 1.54097 * 109.87947 * 121.08329 * 2 1 3 8 8 C 1.53002 * 110.60107 * 2.72747 * 7 2 1 9 9 C 1.50701 * 110.49196 * 240.13443 * 7 2 1 10 10 O 1.21282 * 119.99700 * 9.34382 * 9 7 2 11 11 N 1.34769 * 120.00179 * 189.35330 * 9 7 2 12 12 C 1.46923 * 120.63213 * 175.17291 * 11 9 7 13 13 C 1.53192 * 108.77577 * 233.62891 * 12 11 9 14 14 C 1.53045 * 109.31255 * 305.35994 * 13 12 11 15 15 N 1.46495 * 109.45854 * 181.38508 * 14 13 12 16 16 C 1.36936 * 120.00527 * 299.97238 * 15 14 13 17 17 H 1.08005 * 119.99775 * 322.73840 * 16 15 14 18 18 C 1.38809 * 120.00357 * 142.73054 * 16 15 14 19 19 N 1.31622 * 120.00143 * 160.04545 * 18 16 15 20 20 Si 1.86803 * 119.99715 * 340.04366 * 18 16 15 21 21 H 1.48509 * 109.46623 * 92.49029 * 20 18 16 22 22 H 1.48503 * 109.47065 * 212.48400 * 20 18 16 23 23 H 1.48496 * 109.47182 * 332.48859 * 20 18 16 24 24 C 1.46503 * 119.99690 * 119.98009 * 15 14 13 25 25 C 1.52994 * 109.47341 * 83.77346 * 24 15 14 26 26 O 1.42900 * 109.47302 * 65.30707 * 25 24 15 27 27 C 1.53046 * 109.52502 * 61.37489 * 14 13 12 28 28 C 1.46926 * 120.63348 * 355.19070 * 11 9 7 29 29 H 1.09001 * 109.47856 * 298.91056 * 1 2 3 30 30 H 1.09004 * 109.47472 * 58.91399 * 1 2 3 31 31 H 1.09004 * 109.47185 * 178.91008 * 1 2 3 32 32 H 1.09000 * 110.61414 * 281.56262 * 5 4 2 33 33 H 1.08994 * 110.75018 * 158.62911 * 5 4 2 34 34 H 1.09000 * 110.90627 * 204.77207 * 6 5 4 35 35 H 1.09000 * 110.93580 * 81.19473 * 6 5 4 36 36 H 1.08997 * 109.47247 * 303.40423 * 8 7 2 37 37 H 1.09005 * 109.46854 * 63.40424 * 8 7 2 38 38 H 1.09001 * 109.46629 * 183.39859 * 8 7 2 39 39 H 1.08994 * 109.59085 * 113.83999 * 12 11 9 40 40 H 1.09003 * 109.70469 * 353.48421 * 12 11 9 41 41 H 1.08997 * 109.50082 * 185.41364 * 13 12 11 42 42 H 1.08998 * 109.52908 * 65.32990 * 13 12 11 43 43 H 1.08991 * 109.46114 * 301.36018 * 14 13 12 44 44 H 0.96998 * 119.99421 * 180.02562 * 19 18 16 45 45 H 1.09001 * 109.46929 * 203.76966 * 24 15 14 46 46 H 1.08994 * 109.46781 * 323.76810 * 24 15 14 47 47 H 1.09006 * 109.47199 * 185.30663 * 25 24 15 48 48 H 1.08998 * 109.47413 * 305.30320 * 25 24 15 49 49 H 0.96700 * 113.99912 * 180.02562 * 26 25 24 50 50 H 1.09005 * 109.49846 * 58.57393 * 27 14 13 51 51 H 1.08992 * 109.49680 * 178.67947 * 27 14 13 52 52 H 1.08993 * 109.58893 * 246.16644 * 28 11 9 53 53 H 1.09009 * 109.58325 * 6.43984 * 28 11 9 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 1 1.9025 1.0244 0.0000 4 8 2.0188 -0.6978 -1.1577 5 6 3.2380 -1.3640 -0.7648 6 6 2.9196 -1.8913 0.6575 7 6 2.0539 -0.7482 1.2411 8 6 0.8917 -1.3191 2.0561 9 6 2.8944 0.1675 2.0933 10 8 2.9333 1.3552 1.8510 11 7 3.6029 -0.3334 3.1244 12 6 4.5083 0.5266 3.8986 13 6 5.8975 -0.1184 3.9263 14 6 5.7810 -1.5486 4.4586 15 7 7.1122 -2.1573 4.5176 16 6 7.8561 -2.2893 3.3755 17 1 7.3725 -2.5356 2.4416 18 6 9.2314 -2.1065 3.4178 19 7 9.9906 -2.5993 2.4621 20 14 10.0048 -1.1610 4.8311 21 1 10.4008 -2.1095 5.9031 22 1 11.2055 -0.4361 4.3433 23 1 9.0230 -0.1862 5.3704 24 6 7.6477 -2.6249 5.7986 25 6 7.1227 -4.0326 6.0874 26 8 7.6391 -4.9426 5.1141 27 6 4.8858 -2.3696 3.5276 28 6 3.4850 -1.7501 3.4957 29 1 -0.3635 0.4968 0.8996 30 1 -0.3634 0.5306 -0.8801 31 1 -0.3634 -1.0275 -0.0195 32 1 4.0684 -0.6586 -0.7356 33 1 3.4613 -2.1903 -1.4396 34 1 3.8332 -2.0223 1.2373 35 1 2.3543 -2.8221 0.6103 36 1 0.2102 -0.5138 2.3304 37 1 0.3583 -2.0590 1.4592 38 1 1.2786 -1.7912 2.9591 39 1 4.1330 0.6296 4.9167 40 1 4.5710 1.5093 3.4311 41 1 6.5541 0.4594 4.5767 42 1 6.3102 -0.1382 2.9176 43 1 5.3457 -1.5298 5.4576 44 1 10.9516 -2.4718 2.4920 45 1 8.7365 -2.6458 5.7513 46 1 7.3314 -1.9490 6.5930 47 1 7.4439 -4.3433 7.0817 48 1 6.0337 -4.0308 6.0415 49 1 7.3465 -5.8562 5.2357 50 1 5.3075 -2.3678 2.5224 51 1 4.8221 -3.3940 3.8942 52 1 3.0261 -1.8328 4.4808 53 1 2.8699 -2.2703 2.7613 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 ZINC001098438879.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 23:40:34 Heat of formation + Delta-G solvation = -86.216810 kcal Electronic energy + Delta-G solvation = -33041.097357 eV Core-core repulsion = 28914.396457 eV Total energy + Delta-G solvation = -4126.700900 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.28 seconds Orbital eigenvalues (eV) -41.24227 -38.91312 -37.64742 -36.38562 -34.94706 -34.17681 -32.15624 -31.69311 -30.86625 -30.49219 -28.07059 -27.73491 -25.98488 -24.90866 -23.31095 -22.99211 -22.46752 -21.66534 -20.62930 -19.59855 -18.67050 -17.11352 -16.82723 -16.54438 -16.24286 -15.93997 -15.46122 -15.32193 -14.91531 -14.76972 -14.70396 -14.18919 -14.02030 -13.73087 -13.56193 -13.52134 -12.98126 -12.86199 -12.82284 -12.70903 -12.44537 -12.27207 -12.08499 -11.93828 -11.77631 -11.52846 -11.44166 -11.17153 -11.13113 -11.06792 -10.88780 -10.81494 -10.67259 -10.55711 -10.32480 -9.99367 -9.73522 -9.66996 -9.54096 -9.46587 -9.19086 -8.54456 -8.40421 -6.82842 -5.89589 -3.32346 2.63747 3.04081 3.31698 3.47020 3.49626 3.76926 4.24733 4.39468 4.56020 4.57540 4.71862 4.76191 4.94244 5.01296 5.09583 5.13260 5.22788 5.30187 5.32554 5.36423 5.41599 5.49039 5.50180 5.53428 5.56997 5.64959 5.71816 5.75741 5.79466 5.80541 5.83689 5.85491 5.89345 5.96587 6.02920 6.07250 6.10802 6.12115 6.13426 6.29263 6.38137 6.50810 6.67450 6.70464 6.85808 6.93808 6.99733 7.49952 8.09265 8.21352 8.35790 8.45273 9.00774 9.78538 10.13978 11.26540 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016063 B = 0.003517 C = 0.003457 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1742.760182 B = 7958.973096 C = 8096.577271 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.148 4.148 2 C 0.085 3.915 3 H 0.091 0.909 4 O -0.374 6.374 5 C 0.047 3.953 6 C -0.155 4.155 7 C -0.111 4.111 8 C -0.144 4.144 9 C 0.529 3.471 10 O -0.545 6.545 11 N -0.599 5.599 12 C 0.113 3.887 13 C -0.140 4.140 14 C 0.181 3.819 15 N -0.593 5.593 16 C -0.245 4.245 17 H 0.076 0.924 18 C 0.039 3.961 19 N -0.902 5.902 20 Si 0.877 3.123 21 H -0.288 1.288 22 H -0.305 1.305 23 H -0.271 1.271 24 C 0.128 3.872 25 C 0.062 3.938 26 O -0.538 6.538 27 C -0.141 4.141 28 C 0.093 3.907 29 H 0.070 0.930 30 H 0.061 0.939 31 H 0.064 0.936 32 H 0.063 0.937 33 H 0.097 0.903 34 H 0.099 0.901 35 H 0.088 0.912 36 H 0.067 0.933 37 H 0.073 0.927 38 H 0.069 0.931 39 H 0.060 0.940 40 H 0.086 0.914 41 H 0.068 0.932 42 H 0.077 0.923 43 H 0.050 0.950 44 H 0.260 0.740 45 H 0.068 0.932 46 H 0.048 0.952 47 H 0.023 0.977 48 H 0.031 0.969 49 H 0.354 0.646 50 H 0.075 0.925 51 H 0.070 0.930 52 H 0.064 0.936 53 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.172 -0.618 3.111 18.447 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 -0.205 4.205 2 C 0.027 3.973 3 H 0.108 0.892 4 O -0.293 6.293 5 C -0.029 4.029 6 C -0.192 4.192 7 C -0.115 4.115 8 C -0.201 4.201 9 C 0.317 3.683 10 O -0.422 6.422 11 N -0.332 5.332 12 C -0.009 4.009 13 C -0.180 4.180 14 C 0.074 3.926 15 N -0.314 5.314 16 C -0.374 4.374 17 H 0.094 0.906 18 C -0.161 4.161 19 N -0.544 5.544 20 Si 0.708 3.292 21 H -0.217 1.217 22 H -0.233 1.233 23 H -0.196 1.196 24 C 0.002 3.998 25 C -0.019 4.019 26 O -0.339 6.339 27 C -0.181 4.181 28 C -0.030 4.030 29 H 0.089 0.911 30 H 0.080 0.920 31 H 0.083 0.917 32 H 0.081 0.919 33 H 0.115 0.885 34 H 0.118 0.882 35 H 0.107 0.893 36 H 0.086 0.914 37 H 0.092 0.908 38 H 0.088 0.912 39 H 0.079 0.921 40 H 0.104 0.896 41 H 0.087 0.913 42 H 0.096 0.904 43 H 0.068 0.932 44 H 0.070 0.930 45 H 0.086 0.914 46 H 0.066 0.934 47 H 0.041 0.959 48 H 0.049 0.951 49 H 0.197 0.803 50 H 0.094 0.906 51 H 0.089 0.911 52 H 0.082 0.918 53 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges -17.766 0.571 2.489 17.948 hybrid contribution 0.596 -0.188 1.387 1.521 sum -17.170 0.383 3.877 17.606 Atomic orbital electron populations 1.22007 0.93659 1.02591 1.02285 1.22748 0.94999 0.96807 0.82723 0.89165 1.88852 1.39704 1.67862 1.32925 1.23540 0.87813 0.96651 0.94927 1.23566 1.01047 0.97408 0.97225 1.22066 0.96623 0.96186 0.96611 1.22163 0.96616 1.01494 0.99873 1.20182 0.79569 0.88314 0.80279 1.90649 1.64937 1.16343 1.70315 1.48027 1.42846 1.10764 1.31518 1.21711 0.89758 0.94650 0.94817 1.22354 0.94129 0.97661 1.03868 1.20275 0.86477 0.90352 0.95497 1.44078 1.15310 1.67432 1.04555 1.18488 0.88936 1.41985 0.87990 0.90634 1.25357 0.96570 0.98091 0.96060 1.69839 1.04547 1.45248 1.34775 0.87002 0.78481 0.80894 0.82816 1.21698 1.23297 1.19643 1.21398 0.99366 0.90679 0.88362 1.22895 0.96307 0.93169 0.89487 1.86913 1.73945 1.19456 1.53575 1.22389 0.93069 0.99580 1.03022 1.22266 0.99255 0.80757 1.00758 0.91119 0.92021 0.91728 0.91851 0.88474 0.88242 0.89322 0.91395 0.90825 0.91203 0.92125 0.89582 0.91292 0.90386 0.93193 0.92992 0.91379 0.93361 0.95932 0.95071 0.80285 0.90632 0.91105 0.91761 0.88923 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.47 8.39 37.15 0.31 -1.16 16 2 C 0.09 1.09 3.65 -26.16 -0.10 0.99 16 3 H 0.09 1.36 6.49 -51.92 -0.34 1.03 16 4 O -0.37 -5.18 11.19 -35.23 -0.39 -5.58 16 5 C 0.05 0.60 7.72 38.21 0.29 0.89 16 6 C -0.15 -1.77 4.73 -24.72 -0.12 -1.89 16 7 C -0.11 -1.32 0.62 -154.13 -0.10 -1.41 16 8 C -0.14 -1.29 6.95 37.16 0.26 -1.03 16 9 C 0.53 7.81 6.49 -10.99 -0.07 7.74 16 10 O -0.54 -9.81 14.74 5.56 0.08 -9.73 16 11 N -0.60 -8.31 2.89 -172.77 -0.50 -8.81 16 12 C 0.11 1.66 6.41 -3.71 -0.02 1.64 16 13 C -0.14 -2.44 5.31 -26.61 -0.14 -2.58 16 14 C 0.18 3.13 2.59 -67.89 -0.18 2.96 16 15 N -0.59 -12.77 1.99 -165.62 -0.33 -13.10 16 16 C -0.25 -6.44 8.55 -15.06 -0.13 -6.57 16 17 H 0.08 2.18 7.03 -52.48 -0.37 1.81 16 18 C 0.04 1.10 5.31 -17.43 -0.09 1.01 16 19 N -0.90 -27.47 13.97 55.49 0.78 -26.70 16 20 Si 0.88 22.01 24.97 -169.99 -4.24 17.77 16 21 H -0.29 -7.13 6.57 56.52 0.37 -6.76 16 22 H -0.30 -7.90 7.11 56.52 0.40 -7.49 16 23 H -0.27 -6.52 7.11 56.52 0.40 -6.12 16 24 C 0.13 2.60 4.57 -4.04 -0.02 2.58 16 25 C 0.06 1.08 7.38 37.15 0.27 1.35 16 26 O -0.54 -10.59 13.44 -35.23 -0.47 -11.07 16 27 C -0.14 -2.13 5.07 -26.61 -0.13 -2.27 16 28 C 0.09 1.09 4.10 -3.71 -0.02 1.08 16 29 H 0.07 0.63 6.76 -51.93 -0.35 0.28 16 30 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 31 H 0.06 0.57 6.82 -51.93 -0.35 0.22 16 32 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 33 H 0.10 1.06 8.14 -51.93 -0.42 0.63 16 34 H 0.10 1.26 4.64 -51.93 -0.24 1.02 16 35 H 0.09 0.84 7.80 -51.93 -0.40 0.44 16 36 H 0.07 0.58 6.52 -51.93 -0.34 0.25 16 37 H 0.07 0.56 6.94 -51.93 -0.36 0.19 16 38 H 0.07 0.57 5.36 -51.93 -0.28 0.30 16 39 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 40 H 0.09 1.36 7.04 -51.93 -0.37 1.00 16 41 H 0.07 1.25 8.14 -51.93 -0.42 0.83 16 42 H 0.08 1.59 7.71 -51.93 -0.40 1.19 16 43 H 0.05 0.78 7.87 -51.93 -0.41 0.37 16 44 H 0.26 7.61 8.31 -40.82 -0.34 7.27 16 45 H 0.07 1.60 3.30 -51.93 -0.17 1.43 16 46 H 0.05 0.86 8.05 -51.93 -0.42 0.44 16 47 H 0.02 0.34 8.14 -51.93 -0.42 -0.08 16 48 H 0.03 0.48 8.14 -51.93 -0.42 0.06 16 49 H 0.35 4.95 9.12 45.56 0.42 5.37 16 50 H 0.08 1.35 5.94 -51.93 -0.31 1.04 16 51 H 0.07 1.07 8.14 -51.93 -0.42 0.65 16 52 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 53 H 0.09 0.94 3.26 -51.92 -0.17 0.77 16 LS Contribution 384.07 15.07 5.79 5.79 Total: -1.00 -33.65 384.07 -7.10 -40.75 By element: Atomic # 1 Polarization: 15.16 SS G_CDS: -7.83 Total: 7.33 kcal Atomic # 6 Polarization: 3.31 SS G_CDS: 0.03 Total: 3.34 kcal Atomic # 7 Polarization: -48.55 SS G_CDS: -0.05 Total: -48.60 kcal Atomic # 8 Polarization: -25.59 SS G_CDS: -0.79 Total: -26.37 kcal Atomic # 14 Polarization: 22.01 SS G_CDS: -4.24 Total: 17.77 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -33.65 -7.10 -40.75 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. ZINC001098438879.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 -45.464 kcal (2) G-P(sol) polarization free energy of solvation -33.655 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -79.118 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.098 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.753 kcal (6) G-S(sol) free energy of system = (1) + (5) -86.217 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.29 seconds