[Retracted] On Multiplicative Topological Invariants of Magnesium Iodide Structure

<div>Comparison among <span class="nowrap"><svg height="12.4698pt" id="M233" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 36.612 12.4698" width="36.612pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.433,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.899,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.846,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,18.344,0)"><path d="M629 197C619 162 607 127 581 101C550 70 506 64 464 64C428 64 392 71 358 80C310 92 264 109 219 128C219 129 286 209 320 250C324 299 304 345 283 388C271 413 259 439 251 465C245 483 240 502 240 522C240 550 252 576 272 596C300 624 339 639 378 639C409 639 441 634 464 612C474 602 477 588 479 574C483 553 482 532 480 511C476 482 471 439 485 426C494 417 505 410 517 404L623 431V452C605 452 581 452 570 463C565 468 565 476 565 483C565 491 568 519 570 538C573 561 573 586 569 609C566 626 561 643 549 655C523 681 484 686 448 686C368 686 291 658 235 601C213 580 194 557 179 531C169 512 160 491 160 468C160 449 166 431 172 413C182 386 195 360 208 335C226 303 251 257 251 234C251 214 244 195 229 181C216 167 199 159 181 152C157 142 132 137 107 133C74 94 52 47 32 0L48 -22C70 14 103 69 128 69C150 69 172 62 192 53C246 30 300 9 356 -7C395 -18 434 -27 474 -27C512 -27 553 -23 581 5C598 23 607 47 616 70C629 108 637 147 645 186L629 197Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,27.002,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.948,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg>,</span> <span class="nowrap"><svg height="12.4698pt" id="M234" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 46.6073 12.4698" width="46.6073pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.958,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.391,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,18.895,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,23.841,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.339,0)"><path d="M629 197C619 162 607 127 581 101C550 70 506 64 464 64C428 64 392 71 358 80C310 92 264 109 219 128C219 129 286 209 320 250C324 299 304 345 283 388C271 413 259 439 251 465C245 483 240 502 240 522C240 550 252 576 272 596C300 624 339 639 378 639C409 639 441 634 464 612C474 602 477 588 479 574C483 553 482 532 480 511C476 482 471 439 485 426C494 417 505 410 517 404L623 431V452C605 452 581 452 570 463C565 468 565 476 565 483C565 491 568 519 570 538C573 561 573 586 569 609C566 626 561 643 549 655C523 681 484 686 448 686C368 686 291 658 235 601C213 580 194 557 179 531C169 512 160 491 160 468C160 449 166 431 172 413C182 386 195 360 208 335C226 303 251 257 251 234C251 214 244 195 229 181C216 167 199 159 181 152C157 142 132 137 107 133C74 94 52 47 32 0L48 -22C70 14 103 69 128 69C150 69 172 62 192 53C246 30 300 9 356 -7C395 -18 434 -27 474 -27C512 -27 553 -23 581 5C598 23 607 47 616 70C629 108 637 147 645 186L629 197Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,36.997,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,41.944,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg>,</span> and <svg height="12.4698pt" id="M235" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 46.6073 12.4698" width="46.6073pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M729 650H468V622C546 615 554 610 554 527V365H213V527C213 610 221 616 297 622V650H38V622C120 616 128 611 128 527V123C128 39 120 34 40 28V0H303V28C221 34 213 40 213 123V322H554V123C554 39 546 34 460 28V0H728V28C647 34 639 39 639 123V527C639 610 647 615 729 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.958,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.391,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,18.895,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g><g transform="matrix(.013,0,0,-0.013,23.841,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.339,0)"><path d="M629 197C619 162 607 127 581 101C550 70 506 64 464 64C428 64 392 71 358 80C310 92 264 109 219 128C219 129 286 209 320 250C324 299 304 345 283 388C271 413 259 439 251 465C245 483 240 502 240 522C240 550 252 576 272 596C300 624 339 639 378 639C409 639 441 634 464 612C474 602 477 588 479 574C483 553 482 532 480 511C476 482 471 439 485 426C494 417 505 410 517 404L623 431V452C605 452 581 452 570 463C565 468 565 476 565 483C565 491 568 519 570 538C573 561 573 586 569 609C566 626 561 643 549 655C523 681 484 686 448 686C368 686 291 658 235 601C213 580 194 557 179 531C169 512 160 491 160 468C160 449 166 431 172 413C182 386 195 360 208 335C226 303 251 257 251 234C251 214 244 195 229 181C216 167 199 159 181 152C157 142 132 137 107 133C74 94 52 47 32 0L48 -22C70 14 103 69 128 69C150 69 172 62 192 53C246 30 300 9 356 -7C395 -18 434 -27 474 -27C512 -27 553 -23 581 5C598 23 607 47 616 70C629 108 637 147 645 186L629 197Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,36.997,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,41.944,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> indices of <svg height="12.4124pt" id="M236" style="vertical-align:-3.887421pt" version="1.1" viewbox="-0.0498162 -8.52498 27.2289 12.4124" width="27.2289pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.583,0)"><path d="M463 437C426 431 375 425 327 422C297 440 264 449 231 449H230C153 449 51 396 51 283C51 215 94 168 139 149C123 129 91 103 51 88C50 78 53 60 62 46C75 25 100 2 136 -9C112 -28 73 -59 53 -79C38 -94 29 -113 29 -135C30 -192 91 -257 203 -257C336 -257 452 -160 452 -59C452 39 371 59 309 59C275 59 240 58 203 58C158 58 140 77 140 96C140 110 157 129 170 138C186 135 205 133 221 133C306 133 396 185 396 293C396 328 384 360 366 381L423 378C439 387 459 413 468 429L463 437ZM219 418C277 418 314 362 314 284C314 205 275 166 231 165C176 165 137 221 137 299C137 376 177 418 219 418ZM241 -11C285 -11 314 -14 339 -24C367 -36 384 -61 384 -95C384 -157 335 -206 240 -206C166 -206 108 -165 108 -110C108 -82 128 -54 154 -32C172 -17 195 -11 241 -11Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.667,0)"><path d="M303 0V28C221 34 213 39 213 125V525C213 610 221 616 303 622V650H38V622C120 616 128 610 128 525V125C128 40 120 34 38 28V0H303Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,22.183,3.838)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g></svg> for <span class="nowrap"><svg height="8.69875pt" id="M237" style="vertical-align:-0.3499298pt" version="1.1" viewbox="-0.0498162 -8.34882 57.8663 8.69875" width="57.8663pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M766 88L752 113C719 83 690 64 681 64C674 64 672 74 679 103L724 292C758 436 724 448 701 448C680 448 666 442 639 429C594 407 514 350 441 252H439L447 289C476 423 450 448 419 448C398 448 379 441 355 427C307 400 234 344 162 249H160L180 324C203 409 197 448 170 448C144 448 82 413 23 349L35 321C57 343 96 374 108 374C115 374 117 371 111 341C87 227 57 112 24 -6L32 -12C53 -4 81 4 108 6C119 68 134 128 149 171C177 229 309 383 364 383C387 383 388 355 373 282C354 190 330 92 303 -6L309 -12C332 -4 356 3 386 6C396 63 411 122 424 171C458 236 590 383 642 383C658 383 664 369 652 315L603 91C587 20 593 -12 619 -12C642 -12 708 23 766 88Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.889,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,25.152,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.392,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.013,0,0,-0.013,40.824,0)"><path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,51.36,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g></svg>,</span> where <span class="nowrap"><svg height="9.32509pt" id="M238" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -8.68809 29.9116 9.32509" width="29.9116pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.158,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.654,0)"><path d="M628 0V662H584V156H583L237 617L205 662H70V0H92H114V504H116L494 0H628ZM584 44H515L114 578V618H182L584 83V44Z"></path></g></svg>.</span></div>

Journal of Mathematics

tab3

Table 3

Table 3: [Retracted] On Multiplicative Topological Invariants of Magnesium Iodide Structure 