On the Classification of Lattices Over <svg      style="vertical-align:-3.06pt;width:75px;" id="M1" height="24.4125" version="1.1" viewBox="0 0 75 24.4125" width="75"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
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</svg> Which Are Even Unimodular <svg     style="vertical-align:-0.0pt;width:16.875px;" id="M2" height="15.25" version="1.1" viewBox="0 0 16.875 15.25" width="16.875"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,15.187)"><path id="x2124" d="M734 170q-25 -130 -36 -170h-661l-8 15l420 599h-173q-77 0 -102 -7t-39 -29q-19 -29 -35 -87l-29 1l12 183h24q9 -16 19 -20.5t34 -4.5h543l7 -14l-416 -598l166 -2q94 0 131.5 7.5t58.5 29.5q28 29 55 103zM639 614h-89l-397 -567l88 -7z" /></g>

		
	
</svg>-Lattices of Rank 32

International Journal of Mathematics and Mathematical Sciences

tab3

Table 3

Table 3: On the Classification of Lattices Over <svg      style="vertical-align:-3.06pt;width:75px;" id="M1" height="24.4125" version="1.1" viewBox="0 0 75 24.4125" width="75"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,26.138,16.937)"><path id="x221A" d="M782 703l-309 -950l-231 505l-91 -47l-18 35l147 78l194 -431h2l264 810h42z" /></g><g transform="matrix(.022,-0,0,-.022,.062,20.538)"><path id="x211A" d="M794 -138l-9 -21q-74 -1 -142 15q-79 19 -254 130q-139 7 -231 87q-52 44 -83 107t-31 135q0 145 103 247.5t274 102.5q145 0 249.5 -93.5t104.5 -240.5q0 -126 -73 -212.5t-179 -116.5q137 -85 271 -140zM673 302q0 152 -78 239.5t-201 87.5q-50 0 -84.5 -74t-34.5 -209
q0 -265 118 -317l66 18l31 -19q76 19 129.5 90t53.5 184zM298 54q-66 94 -66 292q0 178 50 256q-62 -32 -99 -98t-37 -162q0 -98 41 -174t111 -114z" /></g><g transform="matrix(.022,-0,0,-.022,18.377,20.538)"><path id="x28" d="M300 -147l-18 -23q-106 71 -159 185.5t-53 254.5v1q0 139 53 252.5t159 186.5l18 -24q-74 -62 -115.5 -173.5t-41.5 -242.5q0 -130 41.5 -242.5t115.5 -174.5z" /></g>

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q0 45 -26.5 69.5t-68.5 24.5q-67 0 -120 -79l-20 20l43 63q51 56 127 56h1q66 0 107 -37t41 -95q0 -42 -31 -71q-22 -23 -68 -54z" /></g><g transform="matrix(.022,-0,0,-.022,67.181,20.538)"><path id="x29" d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" /></g>

		
	
</svg> Which Are Even Unimodular <svg     style="vertical-align:-0.0pt;width:16.875px;" id="M2" height="15.25" version="1.1" viewBox="0 0 16.875 15.25" width="16.875"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,15.187)"><path id="x2124" d="M734 170q-25 -130 -36 -170h-661l-8 15l420 599h-173q-77 0 -102 -7t-39 -29q-19 -29 -35 -87l-29 1l12 183h24q9 -16 19 -20.5t34 -4.5h543l7 -14l-416 -598l166 -2q94 0 131.5 7.5t58.5 29.5q28 29 55 103zM639 614h-89l-397 -567l88 -7z" /></g>

		
	
</svg>-Lattices of Rank 32 

International Journal of Mathematics and Mathematical Sciences

On the Classification of Lattices Over Which Are Even Unimodular -Lattices of Rank 32

Table 3