(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1130901, 32612]*) (*NotebookOutlinePosition[ 1131539, 32634]*) (* CellTagsIndexPosition[ 1131495, 32630]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Functions are complex ...", "Subtitle"], Cell["\<\ Ivan Cnop icnop@vub.ac.be\ \>", "Subsubtitle"], Cell[CellGroupData[{ Cell["Working in the complex number system has advantages", "Section"], Cell[CellGroupData[{ Cell["The following limit gives an unexpected result in R :", "Subsection"], Cell["Consider the following function:", "Text"], Cell[BoxData[ \(TraditionalForm\`x \[Rule] \@\(x\^4 - 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.37908 .68041 .39483 .71192 .42265 .68816 .40701 .65658 Metetra .727 .637 .758 r .40701 .65658 .42265 .68816 .45044 .66659 .43492 .63498 Metetra .716 .633 .763 r .43492 .63498 .45044 .66659 .47828 .64709 .46285 .61552 Metetra .705 .629 .769 r .46285 .61552 .47828 .64709 .5062 .62956 .49086 .59806 Metetra .695 .625 .774 r .49086 .59806 .5062 .62956 .53426 .61386 .519 .58244 Metetra .684 .622 .78 r .519 .58244 .53426 .61386 .5625 .59987 .54733 .56848 Metetra .674 .618 .785 r .54733 .56848 .5625 .59987 .59097 .58748 .57588 .55607 Metetra .663 .614 .789 r .57588 .55607 .59097 .58748 .61971 .57664 .6047 .54513 Metetra .652 .609 .793 r .6047 .54513 .61971 .57664 .64877 .56731 .63383 .53562 Metetra .64 .603 .797 r .63383 .53562 .64877 .56731 .67819 .55949 .66331 .52755 Metetra .627 .597 .8 r .66331 .52755 .67819 .55949 .70803 .5532 .6932 .52095 Metetra .614 .589 .802 r .6932 .52095 .70803 .5532 .73832 .5485 .72355 .51585 Metetra .6 .581 .804 r .72355 .51585 .73832 .5485 .76914 .54548 .7544 .51237 Metetra .583 .571 .806 r .7544 .51237 .76914 .54548 .80056 .54427 .78584 .51065 Metetra .565 .56 .807 r .78584 .51065 .80056 .54427 .83263 .54503 .81793 .5109 Metetra .545 .548 .808 r .81793 .5109 .83263 .54503 .86547 .54793 .85078 .51332 Metetra .524 .534 .808 r .85078 .51332 .86547 .54793 .89915 .55313 .88447 .51809 Metetra .5 .52 .809 r .88447 .51809 .89915 .55313 .93378 .56078 .91911 .52535 Metetra .476 .506 .809 r .91911 .52535 .93378 .56078 .96947 .57101 .95481 .53523 Metetra .753 .655 .753 r .33494 .6768 .35106 .70653 .37908 .68041 .3631 .65049 Metetra .742 .651 .759 r .3631 .65049 .37908 .68041 .40701 .65658 .39117 .62652 Metetra .731 .647 .765 r .39117 .62652 .40701 .65658 .43492 .63498 .41919 .60488 Metetra .72 .643 .771 r .41919 .60488 .43492 .63498 .46285 .61552 .44723 .58545 Metetra .709 .639 .777 r .44723 .58545 .46285 .61552 .49086 .59806 .47535 .56809 Metetra .697 .636 .784 r .47535 .56809 .49086 .59806 .519 .58244 .50359 .55258 Metetra .687 .633 .79 r .50359 .55258 .519 .58244 .54733 .56848 .53201 .5387 Metetra .676 .63 .795 r .53201 .5387 .54733 .56848 .57588 .55607 .56066 .52628 Metetra .666 .626 .8 r .56066 .52628 .57588 .55607 .6047 .54513 .58957 .51523 Metetra .654 .621 .804 r .58957 .51523 .6047 .54513 .63383 .53562 .61879 .50555 Metetra .642 .616 .808 r .61879 .50555 .63383 .53562 .66331 .52755 .64836 .49725 Metetra .63 .609 .811 r .64836 .49725 .66331 .52755 .6932 .52095 .67832 .49033 Metetra .616 .602 .814 r .67832 .49033 .6932 .52095 .72355 .51585 .70873 .48482 Metetra .602 .594 .816 r .70873 .48482 .72355 .51585 .7544 .51237 .73964 .48084 Metetra .585 .583 .817 r .73964 .48084 .7544 .51237 .78584 .51065 .77111 .47857 Metetra .566 .571 .818 r .77111 .47857 .78584 .51065 .81793 .5109 .80324 .47828 Metetra .544 .558 .819 r .80324 .47828 .81793 .5109 .85078 .51332 .83611 .48022 Metetra .52 .543 .82 r .83611 .48022 .85078 .51332 .88447 .51809 .86984 .48459 Metetra .494 .528 .82 r .86984 .48459 .88447 .51809 .91911 .52535 .90451 .49153 Metetra .467 .512 .821 r .90451 .49153 .91911 .52535 .95481 .53523 .94025 .50114 Metetra .759 .667 .76 r .31854 .64873 .33494 .6768 .3631 .65049 .34687 .62213 Metetra .749 .663 .766 r .34687 .62213 .3631 .65049 .39117 .62652 .37509 .59795 Metetra .737 .658 .772 r .37509 .59795 .39117 .62652 .41919 .60488 .40325 .57618 Metetra .724 .653 .779 r .40325 .57618 .41919 .60488 .44723 .58545 .43141 .55677 Metetra .711 .649 .786 r .43141 .55677 .44723 .58545 .47535 .56809 .45964 .53955 Metetra .699 .647 .794 r .45964 .53955 .47535 .56809 .50359 .55258 .48799 .52423 Metetra .689 .644 .8 r .48799 .52423 .50359 .55258 .53201 .5387 .51652 .51048 Metetra .679 .642 .806 r .51652 .51048 .53201 .5387 .56066 .52628 .54528 .49806 Metetra .668 .639 .811 r .54528 .49806 .56066 .52628 .58957 .51523 .5743 .48689 Metetra .657 .634 .816 r .5743 .48689 .58957 .51523 .61879 .50555 .60362 .47703 Metetra .645 .629 .82 r .60362 .47703 .61879 .50555 .64836 .49725 .63329 .4685 Metetra .632 .623 .823 r .63329 .4685 .64836 .49725 .67832 .49033 .66335 .46128 Metetra .619 .616 .826 r .66335 .46128 .67832 .49033 .70873 .48482 .69384 .45536 Metetra .605 .608 .828 r .69384 .45536 .70873 .48482 .73964 .48084 .72482 .45082 Metetra .588 .597 .829 r .72482 .45082 .73964 .48084 .77111 .47857 .75635 .44793 Metetra .567 .583 .83 r .75635 .44793 .77111 .47857 .80324 .47828 .78853 .44705 Metetra .543 .568 .83 r .78853 .44705 .80324 .47828 .83611 .48022 .82145 .44853 Metetra .515 .552 .831 r .82145 .44853 .83611 .48022 .86984 .48459 .85523 .45258 Metetra .486 .535 .832 r .85523 .45258 .86984 .48459 .90451 .49153 .88997 .4593 Metetra .456 .518 .833 r .88997 .4593 .90451 .49153 .94025 .50114 .92578 .46874 Metetra .767 .68 .766 r .30181 .62236 .31854 .64873 .34687 .62213 .33034 .59536 Metetra .756 .675 .773 r .33034 .59536 .34687 .62213 .37509 .59795 .35874 .57082 Metetra .743 .67 .779 r .35874 .57082 .37509 .59795 .40325 .57618 .38705 .5488 Metetra .728 .664 .787 r .38705 .5488 .40325 .57618 .43141 .55677 .41535 .52935 Metetra .713 .66 .795 r .41535 .52935 .43141 .55677 .45964 .53955 .4437 .51232 Metetra .7 .657 .804 r .4437 .51232 .45964 .53955 .48799 .52423 .47218 .49732 Metetra .69 .656 .812 r .47218 .49732 .48799 .52423 .51652 .51048 .50083 .48379 Metetra .681 .656 .818 r .50083 .48379 .51652 .51048 .54528 .49806 .52972 .47137 Metetra .672 .653 .823 r .52972 .47137 .54528 .49806 .5743 .48689 .55886 .46003 Metetra .66 .648 .828 r .55886 .46003 .5743 .48689 .60362 .47703 .5883 .44994 Metetra .646 .642 .832 r .5883 .44994 .60362 .47703 .63329 .4685 .61809 .44121 Metetra .633 .637 .836 r .61809 .44121 .63329 .4685 .66335 .46128 .64826 .43376 Metetra .621 .631 .839 r .64826 .43376 .66335 .46128 .69384 .45536 .67886 .42742 Metetra .609 .623 .84 r .67886 .42742 .69384 .45536 .72482 .45082 .70992 .42224 Metetra .592 .612 .841 r .70992 .42224 .72482 .45082 .75635 .44793 .74152 .41859 Metetra .569 .596 .841 r .74152 .41859 .75635 .44793 .78853 .44705 .77376 .41708 Metetra .54 .578 .842 r .77376 .41708 .78853 .44705 .82145 .44853 .80676 .41816 Metetra .509 .56 .843 r .80676 .41816 .82145 .44853 .85523 .45258 .84063 .42202 Metetra .476 .542 .845 r .84063 .42202 .85523 .45258 .88997 .4593 .87547 .42866 Metetra .442 .524 .846 r .87547 .42866 .88997 .4593 .92578 .46874 .91139 .43806 Metetra .776 .694 .773 r .28473 .5978 .30181 .62236 .33034 .59536 .31348 .57027 Metetra .764 .689 .78 r .31348 .57027 .33034 .59536 .35874 .57082 .34208 .54517 Metetra .75 .683 .787 r .34208 .54517 .35874 .57082 .38705 .5488 .37059 .52267 Metetra .733 .676 .795 r .37059 .52267 .38705 .5488 .41535 .52935 .39904 .503 Metetra .714 .669 .804 r .39904 .503 .41535 .52935 .4437 .51232 .42752 .48622 Metetra .698 .666 .815 r .42752 .48622 .4437 .51232 .47218 .49732 .45612 .47176 Metetra .689 .668 .825 r .45612 .47176 .47218 .49732 .50083 .48379 .48491 .45863 Metetra .684 .671 .831 r .48491 .45863 .50083 .48379 .52972 .47137 .51394 .44619 Metetra .676 .669 .836 r .51394 .44619 .52972 .47137 .55886 .46003 .54322 .43452 Metetra .663 .663 .839 r .54322 .43452 .55886 .46003 .5883 .44994 .5728 .42412 Metetra .647 .655 .844 r .5728 .42412 .5883 .44994 .61809 .44121 .60272 .41529 Metetra .633 .65 .849 r .60272 .41529 .61809 .44121 .64826 .43376 .63303 .40775 Metetra .624 .647 .852 r .63303 .40775 .64826 .43376 .67886 .42742 .66375 .40101 Metetra .615 .641 .853 r .66375 .40101 .67886 .42742 .70992 .42224 .69491 .395 Metetra .599 .629 .852 r .69491 .395 .70992 .42224 .74152 .41859 .72659 .39037 Metetra .572 .609 .851 r .72659 .39037 .74152 .41859 .77376 .41708 .7589 .38817 Metetra .536 .587 .853 r .7589 .38817 .77376 .41708 .80676 .41816 .79201 .38904 Metetra .499 .567 .856 r .79201 .38904 .80676 .41816 .84063 .42202 .826 .39295 Metetra .461 .548 .859 r .826 .39295 .84063 .42202 .87547 .42866 .86098 .39972 Metetra .424 .53 .861 r .86098 .39972 .87547 .42866 .91139 .43806 .89705 .40921 Metetra .786 .711 .781 r .26723 .57522 .28473 .5978 .31348 .57027 .29624 .54707 Metetra .775 .706 .787 r .29624 .54707 .31348 .57027 .34208 .54517 .32508 .52122 Metetra .761 .699 .794 r .32508 .52122 .34208 .54517 .37059 .52267 .35381 .49784 Metetra .742 .69 .801 r .35381 .49784 .37059 .52267 .39904 .503 .38246 .47747 Metetra .715 .678 .812 r .38246 .47747 .39904 .503 .42752 .48622 .41109 .46084 Metetra .691 .672 .826 r .41109 .46084 .42752 .48622 .45612 .47176 .4398 .44744 Metetra .684 .679 .839 r .4398 .44744 .45612 .47176 .48491 .45863 .46872 .43507 Metetra .687 .688 .845 r .46872 .43507 .48491 .45863 .51394 .44619 .49791 .42256 Metetra .684 .688 .848 r .49791 .42256 .51394 .44619 .54322 .43452 .52735 .41026 Metetra .669 .679 .85 r .52735 .41026 .54322 .43452 .5728 .42412 .55708 .39935 Metetra .645 .666 .856 r .55708 .39935 .5728 .42412 .60272 .41529 .58715 .39061 Metetra .629 .662 .863 r .58715 .39061 .60272 .41529 .63303 .40775 .61762 .38329 Metetra .626 .664 .868 r .61762 .38329 .63303 .40775 .66375 .40101 .64849 .3762 Metetra .626 .663 .866 r .64849 .3762 .66375 .40101 .69491 .395 .67976 .36899 Metetra .613 .649 .862 r .67976 .36899 .69491 .395 .72659 .39037 .7115 .36285 Metetra .575 .62 .859 r .7115 .36285 .72659 .39037 .7589 .38817 .74392 .36006 Metetra .526 .592 .863 r .74392 .36006 .7589 .38817 .79201 .38904 .77718 .3612 Metetra .482 .572 .869 r .77718 .3612 .79201 .38904 .826 .39295 .81135 .36557 Metetra .44 .554 .875 r .81135 .36557 .826 .39295 .86098 .39972 .84651 .37267 Metetra .399 .535 .877 r .84651 .37267 .86098 .39972 .89705 .40921 .88276 .38236 Metetra .798 .731 .79 r .24925 .55487 .26723 .57522 .29624 .54707 .27854 .52612 Metetra .787 .727 .796 r .27854 .52612 .29624 .54707 .32508 .52122 .30767 .49944 Metetra .775 .721 .802 r .30767 .49944 .32508 .52122 .35381 .49784 .33667 .47484 Metetra .758 .71 .806 r .33667 .47484 .35381 .49784 .38246 .47747 .36559 .45267 Metetra .723 .688 .816 r .36559 .45267 .38246 .47747 .41109 .46084 .3944 .43527 Metetra .668 .665 .837 r .3944 .43527 .41109 .46084 .4398 .44744 .42317 .4243 Metetra .672 .688 .856 r .42317 .4243 .4398 .44744 .46872 .43507 .45223 .41331 Metetra .69 .708 .862 r .45223 .41331 .46872 .43507 .49791 .42256 .48159 .40066 Metetra .697 .711 .86 r .48159 .40066 .49791 .42256 .52735 .41026 .51122 .38724 Metetra .68 .697 .859 r .51122 .38724 .52735 .41026 .55708 .39935 .54112 .37525 Metetra .637 .672 .867 r .54112 .37525 .55708 .39935 .58715 .39061 .57136 .36718 Metetra .619 .673 .88 r .57136 .36718 .58715 .39061 .61762 .38329 .60201 .36056 Metetra .626 .685 .885 r .60201 .36056 .61762 .38329 .64849 .3762 .63306 .35319 Metetra .645 .692 .879 r .63306 .35319 .64849 .3762 .67976 .36899 .66443 .34415 Metetra .643 .676 .867 r .66443 .34415 .67976 .36899 .7115 .36285 .69619 .33508 Metetra .567 .617 .862 r .69619 .33508 .7115 .36285 .74392 .36006 .72878 .33264 Metetra .5 .587 .873 r .72878 .33264 .74392 .36006 .77718 .3612 .76229 .33519 Metetra .453 .576 .887 r .76229 .33519 .77718 .3612 .81135 .36557 .79669 .34038 Metetra .41 .562 .894 r .79669 .34038 .81135 .36557 .84651 .37267 .83206 .34789 Metetra .367 .543 .896 r .83206 .34789 .84651 .37267 .88276 .38236 .86851 .35776 Metetra .809 .754 .801 r .23071 .53699 .24925 .55487 .27854 .52612 .2603 .50782 Metetra .801 .752 .808 r .2603 .50782 .27854 .52612 .30767 .49944 .28972 .48061 Metetra .791 .75 .815 r .28972 .48061 .30767 .49944 .33667 .47484 .31902 .45517 Metetra .782 .743 .818 r .31902 .45517 .33667 .47484 .36559 .45267 .34828 .431 Metetra .801 .732 .787 r .34828 .431 .36559 .45267 .3944 .43527 .37784 .40123 Metetra .517 .537 .815 r .37784 .40123 .3944 .43527 .42317 .4243 .40617 .40361 Metetra .661 .711 .885 r .40617 .40361 .42317 .4243 .45223 .41331 .43537 .39377 Metetra .695 .736 .882 r .43537 .39377 .45223 .41331 .48159 .40066 .46494 .38093 Metetra .71 .74 .875 r .46494 .38093 .48159 .40066 .51122 .38724 .49479 .36651 Metetra .714 .734 .866 r .49479 .36651 .51122 .38724 .54112 .37525 .52489 .35133 Metetra .6 .662 .882 r .52489 .35133 .54112 .37525 .57136 .36718 .55532 .34603 Metetra .606 .695 .906 r .55532 .34603 .57136 .36718 .60201 .36056 .58617 .33999 Metetra .625 .712 .908 r .58617 .33999 .60201 .36056 .63306 .35319 .61742 .3324 Metetra .662 .726 .897 r .61742 .3324 .63306 .35319 .66443 .34415 .64896 .32177 Metetra .769 .748 .834 r .64896 .32177 .66443 .34415 .69619 .33508 .68024 .29861 Metetra .436 .486 .813 r .68024 .29861 .69619 .33508 .72878 .33264 .71361 .30837 Metetra .451 .595 .904 r .71361 .30837 .72878 .33264 .76229 .33519 .74741 .31254 Metetra .411 .593 .918 r .74741 .31254 .76229 .33519 .79669 .34038 .78204 .31817 Metetra .369 .575 .92 r .78204 .31817 .79669 .34038 .83206 .34789 .81764 .32579 Metetra .326 .552 .916 r .81764 .32579 .83206 .34789 .86851 .35776 .8543 .33566 Metetra .821 .779 .814 r .21155 .52169 .23071 .53699 .2603 .50782 .24145 .49239 Metetra .812 .782 .824 r .24145 .49239 .2603 .50782 .28972 .48061 .27115 .46518 Metetra .803 .785 .837 r .27115 .46518 .28972 .48061 .31902 .45517 .30071 .44006 Metetra .79 .792 .853 r .30071 .44006 .31902 .45517 .34828 .431 .33016 .4174 Metetra .758 .811 .895 r .33016 .4174 .34828 .431 .37784 .40123 .35945 .39954 Metetra .572 .921 .958 r .35945 .39954 .37784 .40123 .40617 .40361 .38862 .38817 Metetra .681 .782 .926 r .38862 .38817 .40617 .40361 .43537 .39377 .41809 .37678 Metetra .7 .77 .906 r .41809 .37678 .43537 .39377 .46494 .38093 .44789 .3637 Metetra .707 .771 .902 r .44789 .3637 .46494 .38093 .49479 .36651 .47798 .34985 Metetra .69 .776 .917 r .47798 .34985 .49479 .36651 .52489 .35133 .50832 .33743 Metetra .624 .795 .964 r .50832 .33743 .52489 .35133 .55532 .34603 .53899 .32895 Metetra .608 .75 .945 r .53899 .32895 .55532 .34603 .58617 .33999 .57006 .32193 Metetra .621 .744 .935 r .57006 .32193 .58617 .33999 .61742 .3324 .60154 .31416 Metetra .644 .753 .929 r .60154 .31416 .61742 .3324 .64896 .32177 .63338 .30468 Metetra .641 .769 .941 r .63338 .30468 .64896 .32177 .68024 .29861 .66563 .29518 Metetra .24 .744 .895 r .66563 .29518 .68024 .29861 .71361 .30837 .69865 .29235 Metetra .397 .675 .972 r .69865 .29235 .71361 .30837 .74741 .31254 .73257 .29455 Metetra .363 .629 .955 r .73257 .29455 .74741 .31254 .78204 .31817 .7674 .2994 Metetra .322 .596 .944 r .7674 .2994 .78204 .31817 .81764 .32579 .8032 .30659 Metetra .277 .564 .933 r .8032 .30659 .81764 .32579 .8543 .33566 .8401 .31615 Metetra .83 .806 .828 r .19169 .50892 .21155 .52169 .24145 .49239 .22191 .47967 Metetra .821 .812 .842 r .22191 .47967 .24145 .49239 .27115 .46518 .25191 .45276 Metetra .809 .821 .86 r .25191 .45276 .27115 .46518 .30071 .44006 .28172 .42838 Metetra .791 .835 .885 r .28172 .42838 .30071 .44006 .33016 .4174 .31139 .40704 Metetra .758 .856 .923 r .31139 .40704 .33016 .4174 .35945 .39954 .34096 .38952 Metetra .715 .861 .951 r .34096 .38952 .35945 .39954 .38862 .38817 .37054 .37527 Metetra .702 .823 .94 r .37054 .37527 .38862 .38817 .41809 .37678 .40033 .36206 Metetra .702 .802 .927 r .40033 .36206 .41809 .37678 .44789 .3637 .4304 .34869 Metetra .698 .801 .929 r .4304 .34869 .44789 .3637 .47798 .34985 .46074 .33553 Metetra .677 .807 .945 r .46074 .33553 .47798 .34985 .50832 .33743 .49136 .32378 Metetra .637 .808 .965 r .49136 .32378 .50832 .33743 .53899 .32895 .52229 .31422 Metetra .614 .788 .965 r .52229 .31422 .53899 .32895 .57006 .32193 .55362 .30609 Metetra .612 .775 .959 r .55362 .30609 .57006 .32193 .60154 .31416 .58536 .29818 Metetra .612 .776 .959 r .58536 .29818 .60154 .31416 .63338 .30468 .61754 .29014 Metetra .582 .786 .976 r .61754 .29014 .63338 .30468 .66563 .29518 .6502 .28317 Metetra .477 .778 .997 r .6502 .28317 .66563 .29518 .69865 .29235 .68351 .27959 Metetra .38 .718 .988 r .68351 .27959 .69865 .29235 .73257 .29455 .71763 .28 Metetra .324 .661 .973 r .71763 .28 .73257 .29455 .7674 .2994 .75267 .28367 Metetra .274 .615 .957 r .75267 .28367 .7674 .2994 .8032 .30659 .7887 .29012 Metetra .225 .574 .941 r .7887 .29012 .8032 .30659 .8401 .31615 .82584 .29919 Metetra .838 .832 .841 r .1711 .49851 .19169 .50892 .22191 .47967 .20166 .46933 Metetra .828 .841 .857 r .20166 .46933 .22191 .47967 .25191 .45276 .23197 .44266 Metetra .813 .851 .877 r .23197 .44266 .25191 .45276 .28172 .42838 .26209 .41865 Metetra .792 .863 .902 r .26209 .41865 .28172 .42838 .31139 .40704 .29207 .39755 Metetra .763 .871 .927 r .29207 .39755 .31139 .40704 .34096 .38952 .32198 .37941 Metetra .733 .865 .943 r .32198 .37941 .34096 .38952 .37054 .37527 .35194 .36365 Metetra .714 .846 .945 r .35194 .36365 .37054 .37527 .40033 .36206 .38206 .34923 Metetra .704 .831 .943 r .38206 .34923 .40033 .36206 .4304 .34869 .41243 .3355 Metetra .691 .827 .948 r .41243 .3355 .4304 .34869 .46074 .33553 .44305 .32255 Metetra .669 .827 .96 r .44305 .32255 .46074 .33553 .49136 .32378 .47395 .31089 Metetra .638 .823 .971 r .47395 .31089 .49136 .32378 .52229 .31422 .50518 .30082 Metetra .614 .811 .976 r .50518 .30082 .52229 .31422 .55362 .30609 .53679 .29205 Metetra .599 .799 .977 r .53679 .29205 .55362 .30609 .58536 .29818 .56883 .28409 Metetra .582 .795 .98 r .56883 .28409 .58536 .29818 .61754 .29014 .60133 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