Wall clock time and date at job start Tue Mar 31 2020 19:18:58 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 1.52995 * 1 3 3 C 1.53006 * 109.47105 * 2 1 4 4 C 1.52999 * 109.47512 * 184.55286 * 3 2 1 5 5 C 1.52997 * 109.47248 * 185.05223 * 4 3 2 6 6 C 1.50698 * 115.54996 * 302.55209 * 5 4 3 7 7 O 1.21288 * 119.99942 * 101.32330 * 6 5 4 8 8 N 1.34777 * 120.00179 * 281.32216 * 6 5 4 9 9 C 1.46991 * 120.71630 * 355.41696 * 8 6 5 10 10 C 1.53162 * 108.43760 * 234.54542 * 9 8 6 11 11 C 1.52511 * 109.79526 * 305.47007 * 10 9 8 12 12 H 1.08999 * 108.40156 * 179.33986 * 11 10 9 13 13 O 1.42690 * 110.61803 * 298.71397 * 11 10 9 14 14 C 1.43077 * 113.86929 * 185.35335 * 13 11 10 15 15 C 1.53685 * 109.36924 * 298.20871 * 14 13 11 16 16 N 1.47177 * 108.45494 * 51.83545 * 15 14 13 17 17 C 1.36937 * 121.22338 * 128.99707 * 16 15 14 18 18 H 1.07994 * 119.99801 * 205.89376 * 17 16 15 19 19 C 1.38809 * 119.99802 * 25.61787 * 17 16 15 20 20 N 1.31616 * 120.00028 * 17.76361 * 19 17 16 21 21 Si 1.86801 * 119.99904 * 197.76354 * 19 17 16 22 22 H 1.48504 * 109.47060 * 94.98042 * 21 19 17 23 23 H 1.48500 * 109.47246 * 214.98287 * 21 19 17 24 24 H 1.48502 * 109.47257 * 334.98327 * 21 19 17 25 25 C 1.47594 * 117.54938 * 308.73440 * 16 15 14 26 26 H 1.09005 * 110.31229 * 172.56474 * 25 16 15 27 27 C 1.47232 * 119.88454 * 176.04579 * 8 6 5 28 28 C 1.52998 * 117.51755 * 88.24867 * 5 4 3 29 29 C 1.52995 * 117.49879 * 156.87869 * 5 4 3 30 30 H 1.08994 * 109.47397 * 64.75680 * 1 2 3 31 31 H 1.08999 * 109.46839 * 184.75565 * 1 2 3 32 32 H 1.09005 * 109.47443 * 304.75404 * 1 2 3 33 33 H 1.09000 * 109.47321 * 240.00331 * 2 1 3 34 34 H 1.09004 * 109.47413 * 119.99605 * 2 1 3 35 35 H 1.09003 * 109.46735 * 64.54975 * 3 2 1 36 36 H 1.09002 * 109.46929 * 304.55900 * 3 2 1 37 37 H 1.08998 * 109.46890 * 65.05298 * 4 3 2 38 38 H 1.09004 * 109.46648 * 305.05703 * 4 3 2 39 39 H 1.09005 * 109.63556 * 114.86503 * 9 8 6 40 40 H 1.08993 * 109.64189 * 354.23039 * 9 8 6 41 41 H 1.08998 * 109.41223 * 185.37406 * 10 9 8 42 42 H 1.09000 * 109.36074 * 65.53849 * 10 9 8 43 43 H 1.09008 * 109.47492 * 58.34052 * 14 13 11 44 44 H 1.08993 * 109.47768 * 178.34771 * 14 13 11 45 45 H 1.08994 * 109.76477 * 292.12507 * 15 14 13 46 46 H 1.09001 * 109.67489 * 171.49681 * 15 14 13 47 47 H 0.97001 * 119.99844 * 180.02562 * 20 19 17 48 48 H 1.08999 * 110.50725 * 6.37683 * 27 8 6 49 49 H 1.08995 * 108.75697 * 246.06352 * 27 8 6 50 50 H 1.09002 * 117.50480 * 214.96994 * 28 5 4 51 51 H 1.09007 * 117.50090 * 359.97438 * 28 5 4 52 52 H 1.09003 * 117.49989 * 359.97438 * 29 5 4 53 53 H 1.09005 * 117.49901 * 144.99755 * 29 5 4 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4426 0.0000 4 6 3.5657 1.4442 -0.1145 5 6 4.0851 2.8777 0.0120 6 6 3.5345 3.8593 -0.9901 7 8 2.6538 4.6276 -0.6656 8 7 4.0206 3.8836 -2.2469 9 6 5.1547 3.0305 -2.6299 10 6 6.2473 3.9188 -3.2324 11 6 5.6692 4.7438 -4.3774 12 1 6.4611 5.3747 -4.7810 13 8 5.1818 3.8927 -5.4138 14 6 4.7335 4.5951 -6.5769 15 6 3.5591 5.5111 -6.1980 16 7 3.9624 6.3333 -5.0459 17 6 3.8114 7.6943 -5.0575 18 1 4.4516 8.3138 -4.4470 19 6 2.8394 8.2779 -5.8583 20 7 1.8490 7.5493 -6.3279 21 14 2.9367 10.0976 -6.2693 22 1 3.6166 10.2738 -7.5777 23 1 1.5653 10.6623 -6.3440 24 1 3.7058 10.8032 -5.2129 25 6 4.5301 5.6364 -3.8752 26 1 4.9068 6.3586 -3.1509 27 6 3.4222 4.7825 -3.2477 28 6 4.3872 3.3986 1.4185 29 6 5.5349 3.0666 0.4628 30 1 -0.3634 0.4382 -0.9295 31 1 -0.3633 -1.0241 0.0852 32 1 -0.3634 0.5858 0.8444 33 1 1.8933 -0.5138 -0.8900 34 1 1.8934 -0.5138 0.8900 35 1 1.7447 1.9323 0.9280 36 1 1.6114 1.9794 -0.8463 37 1 3.8578 1.0359 -1.0820 38 1 3.9903 0.8322 0.6813 39 1 4.8291 2.2981 -3.3686 40 1 5.5426 2.5194 -1.7488 41 1 7.0562 3.2929 -3.6092 42 1 6.6344 4.5873 -2.4634 43 1 5.5512 5.1946 -6.9771 44 1 4.4056 3.8788 -7.3302 45 1 2.6920 4.9073 -5.9305 46 1 3.3116 6.1577 -7.0399 47 1 1.1699 7.9570 -6.8878 48 1 2.6807 5.4321 -2.7827 49 1 2.9457 4.1791 -4.0203 50 1 4.1878 4.4513 1.6191 51 1 4.2155 2.7201 2.2542 52 1 6.1186 2.1695 0.6696 53 1 6.0905 3.9009 0.0344 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 ZINC001177096011.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 19:18:58 Heat of formation + Delta-G solvation = -40.364765 kcal Electronic energy + Delta-G solvation = -31672.978715 eV Core-core repulsion = 27738.722160 eV Total energy + Delta-G solvation = -3934.256555 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.26 seconds Orbital eigenvalues (eV) -40.46524 -38.96175 -36.95177 -35.65125 -35.03816 -34.63781 -31.68591 -31.49037 -30.08935 -29.49695 -27.48919 -25.52224 -24.45682 -23.85273 -22.92627 -22.58568 -22.01467 -21.24767 -21.05959 -18.82751 -18.09270 -16.95354 -16.55021 -15.97127 -15.59830 -15.41730 -15.28742 -15.08799 -14.71611 -14.45297 -14.25200 -13.94311 -13.85758 -13.27958 -13.21899 -13.19079 -12.97191 -12.67498 -12.47555 -12.33445 -11.99405 -11.96300 -11.67678 -11.59534 -11.44479 -11.32528 -11.11571 -11.07210 -10.95629 -10.75807 -10.66547 -10.60099 -10.37397 -10.23771 -10.16355 -10.00731 -9.95513 -9.63120 -9.29029 -8.99343 -8.58672 -8.18593 -6.77379 -5.86629 -3.29828 2.90963 3.22615 3.34518 3.41670 3.43218 3.62838 4.30827 4.40984 4.41287 4.60436 4.69630 4.82561 4.93499 4.99976 5.04796 5.11205 5.19460 5.29223 5.35290 5.38973 5.46497 5.49916 5.50557 5.63440 5.65100 5.68313 5.75724 5.78000 5.80882 5.81763 5.87746 5.93303 6.02193 6.02974 6.05885 6.07969 6.10504 6.17396 6.22840 6.30967 6.33138 6.35575 6.43729 6.70697 6.77430 6.98256 7.08465 7.47364 7.70821 7.81963 7.88580 8.29445 8.54775 9.08182 9.69964 10.27278 11.20901 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013261 B = 0.003431 C = 0.003299 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2110.982153 B = 8158.867220 C = 8485.836588 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.122 4.122 3 C -0.119 4.119 4 C -0.072 4.072 5 C -0.150 4.150 6 C 0.546 3.454 7 O -0.539 6.539 8 N -0.601 5.601 9 C 0.113 3.887 10 C -0.123 4.123 11 C 0.083 3.917 12 H 0.051 0.949 13 O -0.387 6.387 14 C 0.039 3.961 15 C 0.138 3.862 16 N -0.585 5.585 17 C -0.255 4.255 18 H 0.069 0.931 19 C 0.006 3.994 20 N -0.900 5.900 21 Si 0.905 3.095 22 H -0.287 1.287 23 H -0.290 1.290 24 H -0.278 1.278 25 C 0.134 3.866 26 H 0.072 0.928 27 C 0.107 3.893 28 C -0.146 4.146 29 C -0.167 4.167 30 H 0.055 0.945 31 H 0.051 0.949 32 H 0.053 0.947 33 H 0.060 0.940 34 H 0.058 0.942 35 H 0.065 0.935 36 H 0.064 0.936 37 H 0.070 0.930 38 H 0.070 0.930 39 H 0.072 0.928 40 H 0.085 0.915 41 H 0.077 0.923 42 H 0.075 0.925 43 H 0.041 0.959 44 H 0.080 0.920 45 H 0.029 0.971 46 H 0.096 0.904 47 H 0.255 0.745 48 H 0.090 0.910 49 H 0.066 0.934 50 H 0.099 0.901 51 H 0.100 0.900 52 H 0.102 0.898 53 H 0.098 0.902 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.417 -15.290 10.529 19.992 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 -0.160 4.160 3 C -0.157 4.157 4 C -0.110 4.110 5 C -0.154 4.154 6 C 0.332 3.668 7 O -0.416 6.416 8 N -0.334 5.334 9 C -0.010 4.010 10 C -0.162 4.162 11 C 0.023 3.977 12 H 0.069 0.931 13 O -0.306 6.306 14 C -0.039 4.039 15 C 0.012 3.988 16 N -0.307 5.307 17 C -0.384 4.384 18 H 0.087 0.913 19 C -0.194 4.194 20 N -0.543 5.543 21 Si 0.735 3.265 22 H -0.214 1.214 23 H -0.217 1.217 24 H -0.203 1.203 25 C 0.026 3.974 26 H 0.090 0.910 27 C -0.016 4.016 28 C -0.184 4.184 29 C -0.204 4.204 30 H 0.074 0.926 31 H 0.070 0.930 32 H 0.073 0.927 33 H 0.079 0.921 34 H 0.077 0.923 35 H 0.084 0.916 36 H 0.083 0.917 37 H 0.088 0.912 38 H 0.089 0.911 39 H 0.091 0.909 40 H 0.103 0.897 41 H 0.095 0.905 42 H 0.094 0.906 43 H 0.059 0.941 44 H 0.098 0.902 45 H 0.047 0.953 46 H 0.114 0.886 47 H 0.065 0.935 48 H 0.109 0.891 49 H 0.084 0.916 50 H 0.118 0.882 51 H 0.118 0.882 52 H 0.120 0.880 53 H 0.117 0.883 Dipole moment (debyes) X Y Z Total from point charges 6.774 -14.971 10.565 19.535 hybrid contribution -0.079 1.268 -0.463 1.352 sum 6.696 -13.703 10.102 18.293 Atomic orbital electron populations 1.21771 0.95912 1.01259 1.02134 1.21516 0.95983 0.96820 1.01633 1.21577 0.94594 0.96522 1.02969 1.21079 0.96078 0.91423 1.02399 1.21465 0.99740 0.96932 0.97235 1.19473 0.82249 0.83028 0.82011 1.90700 1.31394 1.41223 1.78302 1.48357 1.33371 1.41458 1.10220 1.21687 0.86297 0.92916 1.00060 1.21818 0.97930 0.99275 0.97186 1.22180 0.95725 0.91493 0.88270 0.93101 1.87714 1.82970 1.33705 1.26234 1.23410 0.98076 0.95739 0.86641 1.21560 0.92113 0.92646 0.92448 1.44346 1.73346 1.03043 1.10006 1.19194 1.12603 0.81087 1.25558 0.91312 1.25035 0.94733 0.97971 1.01613 1.70031 1.11665 1.35421 1.37206 0.86223 0.77002 0.84836 0.78428 1.21415 1.21658 1.20316 1.21583 0.92392 0.92998 0.90458 0.90995 1.22392 0.97611 0.92191 0.89390 1.22989 1.01015 1.02664 0.91692 1.23138 0.90125 1.03759 1.03401 0.92605 0.92990 0.92738 0.92112 0.92296 0.91612 0.91726 0.91155 0.91119 0.90945 0.89700 0.90464 0.90631 0.94087 0.90184 0.95327 0.88622 0.93457 0.89130 0.91589 0.88206 0.88166 0.87964 0.88314 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 20. 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 -1.45 9.91 37.16 0.37 -1.08 16 2 C -0.12 -1.14 5.93 -26.73 -0.16 -1.30 16 3 C -0.12 -1.36 4.91 -26.73 -0.13 -1.49 16 4 C -0.07 -0.73 5.05 -26.73 -0.13 -0.87 16 5 C -0.15 -1.81 0.85 -155.67 -0.13 -1.94 16 6 C 0.55 9.17 6.02 -10.99 -0.07 9.10 16 7 O -0.54 -11.45 16.36 5.55 0.09 -11.36 16 8 N -0.60 -9.98 2.98 -172.42 -0.51 -10.50 16 9 C 0.11 1.49 5.81 -3.69 -0.02 1.46 16 10 C -0.12 -1.64 5.82 -26.90 -0.16 -1.79 16 11 C 0.08 1.45 2.72 -26.89 -0.07 1.38 16 12 H 0.05 0.92 8.13 -51.93 -0.42 0.50 16 13 O -0.39 -7.14 9.68 -35.23 -0.34 -7.48 16 14 C 0.04 0.75 6.99 37.51 0.26 1.01 16 15 C 0.14 3.21 5.00 -3.32 -0.02 3.19 16 16 N -0.59 -14.34 2.70 -163.60 -0.44 -14.78 16 17 C -0.26 -6.91 9.69 -15.06 -0.15 -7.06 16 18 H 0.07 1.85 7.89 -52.49 -0.41 1.43 16 19 C 0.01 0.16 4.94 -17.43 -0.09 0.07 16 20 N -0.90 -25.67 11.16 55.49 0.62 -25.05 16 21 Si 0.91 21.58 29.59 -169.99 -5.03 16.55 16 22 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 23 H -0.29 -7.03 7.11 56.52 0.40 -6.62 16 24 H -0.28 -6.53 7.11 56.52 0.40 -6.13 16 25 C 0.13 2.80 2.95 -67.08 -0.20 2.60 16 26 H 0.07 1.56 7.99 -51.93 -0.42 1.14 16 27 C 0.11 2.22 5.67 -3.48 -0.02 2.20 16 28 C -0.15 -1.57 9.84 -26.73 -0.26 -1.83 16 29 C -0.17 -1.58 8.07 -26.73 -0.22 -1.80 16 30 H 0.05 0.57 8.14 -51.93 -0.42 0.15 16 31 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 33 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 34 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 35 H 0.07 0.79 8.14 -51.93 -0.42 0.36 16 36 H 0.06 0.92 7.68 -51.93 -0.40 0.52 16 37 H 0.07 0.70 7.72 -51.93 -0.40 0.30 16 38 H 0.07 0.57 8.11 -51.93 -0.42 0.15 16 39 H 0.07 0.99 7.94 -51.93 -0.41 0.58 16 40 H 0.08 0.89 4.75 -51.93 -0.25 0.64 16 41 H 0.08 0.87 8.14 -51.93 -0.42 0.45 16 42 H 0.08 0.93 8.14 -51.93 -0.42 0.51 16 43 H 0.04 0.78 8.14 -51.92 -0.42 0.35 16 44 H 0.08 1.34 8.14 -51.93 -0.42 0.92 16 45 H 0.03 0.71 7.17 -51.93 -0.37 0.34 16 46 H 0.10 2.46 6.11 -51.93 -0.32 2.14 16 47 H 0.26 7.07 8.31 -40.82 -0.34 6.73 16 48 H 0.09 2.19 7.01 -51.93 -0.36 1.83 16 49 H 0.07 1.46 6.66 -51.93 -0.35 1.11 16 50 H 0.10 1.23 8.14 -51.93 -0.42 0.81 16 51 H 0.10 0.87 8.14 -51.93 -0.42 0.45 16 52 H 0.10 0.73 8.14 -51.93 -0.42 0.31 16 53 H 0.10 0.99 8.14 -51.93 -0.42 0.57 16 LS Contribution 403.41 15.07 6.08 6.08 Total: -1.00 -30.95 403.41 -10.31 -41.26 By element: Atomic # 1 Polarization: 13.00 SS G_CDS: -9.58 Total: 3.42 kcal Atomic # 6 Polarization: 3.05 SS G_CDS: -1.19 Total: 1.86 kcal Atomic # 7 Polarization: -49.99 SS G_CDS: -0.34 Total: -50.33 kcal Atomic # 8 Polarization: -18.59 SS G_CDS: -0.25 Total: -18.84 kcal Atomic # 14 Polarization: 21.58 SS G_CDS: -5.03 Total: 16.55 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -30.95 -10.31 -41.26 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. ZINC001177096011.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 0.891 kcal (2) G-P(sol) polarization free energy of solvation -30.946 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -30.055 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.310 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.255 kcal (6) G-S(sol) free energy of system = (1) + (5) -40.365 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.26 seconds