/usr/bin/diffoscope --timeout 7200 --html /srv/reproducible-results/rbuild-debian/r-b-build.pCyTGkxI/macaulay2_1.25.06+ds-3.diffoscope.html --text /srv/reproducible-results/rbuild-debian/r-b-build.pCyTGkxI/macaulay2_1.25.06+ds-3.diffoscope.txt --json /srv/reproducible-results/rbuild-debian/r-b-build.pCyTGkxI/macaulay2_1.25.06+ds-3.diffoscope.json --profile=- /srv/reproducible-results/rbuild-debian/r-b-build.pCyTGkxI/b1/macaulay2_1.25.06+ds-3_amd64.changes /srv/reproducible-results/rbuild-debian/r-b-build.pCyTGkxI/b2/macaulay2_1.25.06+ds-3

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/srv/reproducible-results/rbuild-debian/r-b-build.pCyTGkxI/b2/macaulay2_1.25.06+ds-3_amd64.changes ¶

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Files ¶

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macaulay2-common_1.25.06+ds-3_all.deb ¶

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file list ¶

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control.tar.xz ¶

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control.tar ¶

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./control ¶

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./md5sums ¶

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./md5sums ¶

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3.04 KB

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2.64 KB

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1020 B

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1.31 KB

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834 B

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5.35 KB

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2.6 KB

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3.35 KB

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1.71 KB

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2.17 KB

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893 B

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3.15 KB

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1.22 KB

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1.23 KB

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639 B

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4.2 KB

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1.5 KB

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3.54 KB

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1.7 KB

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1.78 KB

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806 B

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1.78 KB

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962 B

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1.82 KB

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979 B

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1.36 KB

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512 B

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3.3 KB

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1.35 KB

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6.02 KB

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2.18 KB

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1.08 KB

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478 B

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2.8 KB

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1010 B

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1.65 KB

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850 B

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2.14 KB

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955 B

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6.18 KB

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978 B

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720 B

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725 B

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5.72 KB

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6.53 KB

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943 B

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746 B

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737 B

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668 B

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781 B

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951 B

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2.95 KB

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1.26 KB

⊟

2.6 KB

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1.16 KB

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1.95 KB

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815 B

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733 B

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1.2 KB

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378 B

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430 B

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376 B

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996 B

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497 B

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455 B

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2.4 KB

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1.1 KB

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885 B

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334 B

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1.25 KB

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662 B

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1.11 KB

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617 B

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1.9 KB

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861 B

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1.2 KB

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583 B

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850 B

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353 B

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733 B

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751 B

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1.04 KB

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553 B

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622 B

⊟

2.68 KB

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1.51 KB

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1.46 KB

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704 B

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1.83 KB

⊟

821 B

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724 B

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747 B

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1.44 KB

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2.78 KB

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1.17 KB

⊟

742 B

⊟

1.43 KB

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2.8 KB

⊟

1.21 KB

⊟

779 B

⊟

1.15 KB

⊟

13.7 KB

⊟

2.5 KB

⊟

1.24 KB

⊟

27.9 KB

⊟

14.0 KB

⊟

757 B

⊟

747 B

⊟

746 B

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721 B

⊟

3.58 KB

⊟

8.05 KB

⊟

17.3 KB

⊟

8.13 KB

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7.09 KB

⊟

3.4 KB

⊟

753 B

⊟

750 B

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774 B

⊟

750 B

⊟

1.31 KB

⊟

583 B

⊟

741 B

⊟

572 B

⊟

371 B

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550 B

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1.52 KB

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621 B

⊟

1.08 KB

⊟

583 B

⊟

1.53 KB

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862 B

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773 B

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737 B

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749 B

⊟

1.56 KB

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1.04 KB

⊟

1.12 KB

⊟

1.06 KB

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670 B

⊟

2.66 KB

⊟

1.47 KB

⊟

998 B

⊟

1.02 KB

⊟

1.51 KB

⊟

1.17 KB

⊟

1.1 KB

⊟

968 B

⊟

752 B

⊟

1.24 KB

⊟

1.04 KB

⊟

697 B

⊟

939 B

⊟

3.31 KB

⊟

1.47 KB

⊟

1.68 KB

⊟

753 B

⊟

2.27 KB

⊟

929 B

⊟

2.64 KB

⊟

1.21 KB

⊟

1.5 KB

⊟

863 B

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5.42 KB

⊟

2.42 KB

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3.12 KB

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1.42 KB

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2.71 KB

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1.26 KB

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2.56 KB

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1.22 KB

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3.64 KB

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1.49 KB

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3.16 KB

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1.32 KB

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2.67 KB

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1.22 KB

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2.37 KB

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1.0 KB

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1.15 KB

⊟

498 B

⊟

3.33 KB

⊟

1.68 KB

⊟

2.4 KB

⊟

1.11 KB

⊟

1.29 KB

⊟

543 B

⊟

1.63 KB

⊟

705 B

⊟

712 B

⊟

731 B

⊟

735 B

⊟

1.19 KB

⊟

424 B

⊟

1.19 KB

⊟

549 B

⊟

2.82 KB

⊟

1.35 KB

⊟

964 B

⊟

360 B

⊟

2.79 KB

⊟

1.32 KB

⊟

1.95 KB

⊟

1020 B

⊟

751 B

⊟

1.2 KB

⊟

436 B

⊟

353 B

⊟

560 B

⊟

2.84 KB

⊟

1.35 KB

⊟

974 B

⊟

360 B

⊟

1.43 KB

⊟

775 B

⊟

2.1 KB

⊟

1.06 KB

⊟

777 B

⊟

768 B

⊟

648 B

⊟

1.26 KB

⊟

525 B

⊟

751 B

⊟

749 B

⊟

1.77 KB

⊟

930 B

⊟

1.82 KB

⊟

907 B

⊟

743 B

⊟

3.71 KB

⊟

1.95 KB

⊟

2.8 KB

⊟

1.18 KB

⊟

5.39 KB

⊟

2.15 KB

⊟

3.58 KB

⊟

1.62 KB

⊟

2.24 KB

⊟

1.11 KB

⊟

746 B

⊟

741 B

⊟

798 B

⊟

599 B

⊟

1.28 KB

⊟

575 B

⊟

761 B

⊟

789 B

⊟

930 B

⊟

782 B

⊟

1.54 KB

⊟

560 B

⊟

404 B

⊟

1.68 KB

⊟

778 B

⊟

1.41 KB

⊟

614 B

⊟

3.51 KB

⊟

1.68 KB

⊟

1.35 KB

⊟

747 B

⊟

900 B

⊟

392 B

⊟

777 B

⊟

779 B

⊟

775 B

⊟

1.77 KB

⊟

611 B

⊟

463 B

⊟

356 B

⊟

1.95 KB

⊟

4.18 KB

⊟

1.93 KB

⊟

1.2 KB

⊟

609 B

⊟

1.46 KB

⊟

729 B

⊟

1.13 KB

⊟

622 B

⊟

4.67 KB

⊟

2.23 KB

⊟

756 B

⊟

2.25 KB

⊟

565 B

⊟

649 B

⊟

621 B

⊟

665 B

⊟

696 B

⊟

613 B

⊟

789 B

⊟

1.57 KB

⊟

570 B

⊟

829 B

⊟

601 B

⊟

899 B

⊟

620 B

⊟

5.07 KB

⊟

2.34 KB

⊟

1.25 KB

⊟

579 B

⊟

1.43 KB

⊟

677 B

⊟

1.56 KB

⊟

840 B

⊟

1.44 KB

⊟

698 B

⊟

1.51 KB

⊟

744 B

⊟

1.36 KB

⊟

645 B

⊟

1.52 KB

⊟

755 B

⊟

3.36 KB

⊟

1.6 KB

⊟

1.55 KB

⊟

810 B

⊟

1.71 KB

⊟

834 B

⊟

1.4 KB

⊟

697 B

⊟

1.76 KB

⊟

813 B

⊟

1.63 KB

⊟

937 B

⊟

747 B

⊟

1.26 KB

⊟

813 B

⊟

1.13 KB

⊟

2.4 KB

⊟

867 B

⊟

1.38 KB

⊟

464 B

⊟

2.31 KB

⊟

1.08 KB

⊟

721 B

⊟

4.81 KB

⊟

484 B

⊟

1020 B

⊟

9.92 KB

⊟

4.7 KB

⊟

1.35 KB

⊟

766 B

⊟

2.4 KB

⊟

1.26 KB

⊟

760 B

⊟

508 B

⊟

1.39 KB

⊟

780 B

⊟

716 B

⊟

712 B

⊟

751 B

⊟

4.24 KB

⊟

983 B

⊟

1.48 KB

⊟

664 B

⊟

1.09 KB

⊟

8.43 KB

⊟

4.06 KB

⊟

1.84 KB

⊟

820 B

⊟

2.61 KB

⊟

1.07 KB

⊟

1.36 KB

⊟

692 B

⊟

2.5 KB

⊟

1.23 KB

⊟

747 B

⊟

742 B

⊟

735 B

⊟

740 B

⊟

715 B

⊟

759 B

⊟

1.35 KB

⊟

719 B

⊟

3.2 KB

⊟

1.37 KB

⊟

1.65 KB

⊟

618 B

⊟

713 B

⊟

737 B

⊟

740 B

⊟

739 B

⊟

765 B

⊟

729 B

⊟

516 B

⊟

1.59 KB

⊟

782 B

⊟

715 B

⊟

712 B

⊟

739 B

⊟

722 B

⊟

948 B

⊟

732 B

⊟

2.37 KB

⊟

914 B

⊟

1.92 KB

⊟

908 B

⊟

758 B

⊟

773 B

⊟

1.81 KB

⊟

933 B

⊟

3.46 KB

⊟

1.44 KB

⊟

2.12 KB

⊟

1.08 KB

⊟

735 B

⊟

745 B

⊟

802 B

⊟

745 B

⊟

727 B

⊟

733 B

⊟

415 B

⊟

425 B

⊟

504 B

⊟

1.33 KB

⊟

759 B

⊟

1000 B

⊟

354 B

⊟

1.07 KB

⊟

419 B

⊟

718 B

⊟

765 B

⊟

746 B

⊟

728 B

⊟

25.8 KB

⊟

51.2 KB

⊟

22.6 KB

⊟

723 B

⊟

733 B

⊟

755 B

⊟

496 B

⊟

1.12 KB

⊟

483 B

⊟

751 B

⊟

1.6 KB

⊟

4.25 KB

⊟

1.94 KB

⊟

725 B

⊟

823 B

⊟

555 B

⊟

1.48 KB

⊟

675 B

⊟

752 B

⊟

566 B

⊟

1.32 KB

⊟

588 B

⊟

746 B

⊟

891 B

⊟

561 B

⊟

803 B

⊟

1.19 KB

⊟

2.08 KB

⊟

1.08 KB

⊟

2.63 KB

⊟

1.21 KB

⊟

4.89 KB

⊟

1.75 KB

⊟

3.65 KB

⊟

1.42 KB

⊟

742 B

⊟

722 B

⊟

787 B

⊟

773 B

⊟

454 B

⊟

444 B

⊟

1020 B

⊟

1.73 KB

⊟

713 B

⊟

1.04 KB

⊟

381 B

⊟

2.2 KB

⊟

1.0 KB

⊟

772 B

⊟

773 B

⊟

3.42 KB

⊟

4.34 KB

⊟

902 B

⊟

724 B

⊟

743 B

⊟

1.26 KB

⊟

3.5 KB

⊟

1.81 KB

⊟

757 B

⊟

727 B

⊟

735 B

⊟

694 B

⊟

1020 B

⊟

1.19 KB

⊟

1.29 KB

⊟

598 B

⊟

2.58 KB

⊟

1.19 KB

⊟

2.88 KB

⊟

1.25 KB

⊟

737 B

⊟

721 B

⊟

900 B

⊟

2.49 KB

⊟

1.17 KB

⊟

768 B

⊟

741 B

⊟

748 B

⊟

805 B

⊟

753 B

⊟

1.65 KB

⊟

2.56 KB

⊟

7.81 KB

⊟

1.71 KB

⊟

1.57 KB

⊟

2.72 KB

⊟

908 B

⊟

1.06 KB

⊟

477 B

⊟

1.66 KB

⊟

1.94 KB

⊟

3.37 KB

⊟

1.95 KB

⊟

4.0 KB

⊟

4.69 KB

⊟

2.03 KB

⊟

5.93 KB

⊟

2.92 KB

⊟

6.83 KB

⊟

2.73 KB

⊟

3.5 KB

⊟

1.7 KB

⊟

3.75 KB

⊟

1.62 KB

⊟

5.99 KB

⊟

3.0 KB

⊟

1.65 KB

⊟

775 B

⊟

2.59 KB

⊟

1.44 KB

⊟

1.36 KB

⊟

754 B

⊟

3.34 KB

⊟

1.66 KB

⊟

5.18 KB

⊟

2.53 KB

⊟

6.55 KB

⊟

3.45 KB

⊟

4.34 KB

⊟

2.34 KB

⊟

7.13 KB

⊟

3.48 KB

⊟

736 B

⊟

1.39 KB

⊟

9.13 KB

⊟

4.08 KB

⊟

1.99 KB

⊟

23.6 KB

⊟

9.6 KB

⊟

739 B

⊟

735 B

⊟

741 B

⊟

1.14 KB

⊟

2.44 KB

⊟

1.06 KB

⊟

766 B

⊟

758 B

⊟

726 B

⊟

1.19 KB

⊟

1.41 KB

⊟

498 B

⊟

504 B

⊟

506 B

⊟

2.74 KB

⊟

1.23 KB

⊟

2.92 KB

⊟

1.25 KB

⊟

954 B

⊟

351 B

⊟

958 B

⊟

349 B

⊟

960 B

⊟

349 B

⊟

754 B

⊟

733 B

⊟

1.11 KB

⊟

3.21 KB

⊟

1.45 KB

⊟

747 B

⊟

1.47 KB

⊟

3.06 KB

⊟

1.47 KB

⊟

730 B

⊟

731 B

⊟

749 B

⊟

732 B

⊟

719 B

⊟

745 B

⊟

1000 B

⊟

743 B

⊟

2.59 KB

⊟

1.49 KB

⊟

1.67 KB

⊟

728 B

⊟

771 B

⊟

752 B

⊟

731 B

⊟

731 B

⊟

363 B

⊟

1.72 KB

⊟

983 B

⊟

747 B

⊟

775 B

⊟

729 B

⊟

728 B

⊟

1.18 KB

⊟

2.73 KB

⊟

1.39 KB

⊟

731 B

⊟

782 B

⊟

755 B

⊟

678 B

⊟

897 B

⊟

1.31 KB

⊟

2.98 KB

Ordering differences only

⊟

968 B

⊟

3.39 KB

⊟

2.02 KB

⊟

894 B

⊟

1.68 KB

⊟

874 B

⊟

2.7 KB

⊟

1.33 KB

⊟

2.84 KB

⊟

1.58 KB

⊟

6.11 KB

Ordering differences only

⊟

2.96 KB

⊟

1.81 KB

⊟

865 B

⊟

8.46 KB

⊟

3.82 KB

⊟

761 B

⊟

2.44 KB

⊟

751 B

⊟

874 B

⊟

4.72 KB

⊟

2.3 KB

⊟

1.61 KB

⊟

776 B

⊟

1.55 KB

⊟

693 B

⊟

769 B

⊟

725 B

⊟

690 B

⊟

775 B

⊟

1.29 KB

⊟

1.48 KB

⊟

606 B

⊟

608 B

⊟

803 B

⊟

849 B

⊟

927 B

⊟

691 B

⊟

1.45 KB

⊟

1.62 KB

⊟

1.33 KB

⊟

1.06 KB

⊟

633 B

⊟

1.53 KB

⊟

726 B

⊟

1.42 KB

⊟

579 B

⊟

1.53 KB

⊟

726 B

⊟

2.91 KB

⊟

1.36 KB

⊟

2.86 KB

⊟

1.4 KB

⊟

1.55 KB

⊟

892 B

⊟

1.66 KB

⊟

990 B

⊟

1.49 KB

⊟

680 B

⊟

1.5 KB

⊟

644 B

⊟

1.59 KB

⊟

704 B

⊟

1.34 KB

⊟

583 B

⊟

2.61 KB

⊟

1.33 KB

⊟

2.6 KB

⊟

1.22 KB

⊟

1.53 KB

⊟

702 B

⊟

1.57 KB

⊟

670 B

⊟

1.24 KB

⊟

477 B

⊟

763 B

⊟

733 B

⊟

442 B

⊟

1.06 KB

⊟

496 B

⊟

731 B

⊟

773 B

⊟

747 B

⊟

1.02 KB

⊟

3.15 KB

⊟

1.47 KB

⊟

747 B

⊟

751 B

⊟

729 B

⊟

759 B

⊟

734 B

⊟

826 B

⊟

2.11 KB

⊟

1.03 KB

⊟

770 B

⊟

755 B

⊟

723 B

⊟

765 B

⊟

576 B

⊟

1.12 KB

⊟

468 B

⊟

759 B

⊟

747 B

⊟

729 B

⊟

647 B

⊟

684 B

⊟

1.47 KB

⊟

830 B

⊟

645 B

⊟

1.64 KB

⊟

717 B

⊟

1.62 KB

⊟

686 B

⊟

5.9 KB

⊟

2.35 KB

⊟

2.26 KB

⊟

1.08 KB

⊟

1.96 KB

⊟

891 B

⊟

717 B

⊟

761 B

⊟

716 B

⊟

1.67 KB

⊟

656 B

⊟

1.07 KB

⊟

2.11 KB

⊟

4.02 KB

⊟

1.91 KB

⊟

1.48 KB

⊟

714 B

⊟

2.15 KB

⊟

977 B

⊟

4.37 KB

⊟

2.12 KB

⊟

717 B

⊟

722 B

⊟

776 B

⊟

723 B

⊟

1020 B

⊟

2.07 KB

⊟

951 B

⊟

735 B

⊟

754 B

⊟

733 B

⊟

737 B

⊟

1.32 KB

⊟

49.4 KB

⊟

100 KB

⊟

49.2 KB

⊟

2.63 KB

⊟

1.51 KB

⊟

712 B

⊟

718 B

⊟

771 B

⊟

747 B

⊟

702 B

⊟

711 B

⊟

717 B

⊟

727 B

⊟

726 B

⊟

724 B

⊟

765 B

⊟

1.08 KB

⊟

2.66 KB

⊟

1.15 KB

⊟

777 B

⊟

744 B

⊟

734 B

⊟

1.06 KB

⊟

2.68 KB

⊟

1.2 KB

⊟

737 B

⊟

552 B

⊟

6.1 KB

⊟

2.1 KB

⊟

3.2 KB

⊟

2.03 KB

⊟

834 B

⊟

12.5 KB

⊟

5.98 KB

⊟

3.94 KB

⊟

1.64 KB

⊟

6.72 KB

⊟

3.42 KB

⊟

741 B

⊟

1.51 KB

⊟

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macaulay2_1.25.06+ds-3_amd64.deb ¶

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./usr/bin/M2-binary ¶

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readelf --wide --relocs {} ¶

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readelf --wide --decompress --hex-dump=.gnu_debuglink {} ¶

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macaulay2-dbgsym_1.25.06+ds-3_amd64.deb ¶

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./usr/lib/debug/.build-id/27/f9878eb0a578e5bda9156a250db71831da1aaa.debug vs.

./usr/lib/debug/.build-id/4c/f8bcecc07ffe74693ccb44485bfcb82c6448eb.debug ¶

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readelf --wide --file-header {} ¶

error from `readelf --wide --file-header {}`: readelf: Error: Unable to find program interpreter name

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readelf --wide --sections {} ¶

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readelf --wide --debug-dump=loc {} ¶

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Offset 1, 5 lines modified		Offset 1, 5 lines modified

1	·cd59da354b34c7920d3cd1205ae44b5f·62688·editors·optional·elpa-macaulay2_1.25.06+ds-3_all.deb	1	·cd59da354b34c7920d3cd1205ae44b5f·62688·editors·optional·elpa-macaulay2_1.25.06+ds-3_all.deb
2	·503036e2caf02d80e4442104ce54ede6·30663184·math·optional·macaulay2-common_1.25.06+ds-3_all.deb
3	·812b90d729dc93254ffb1ed8fffca516·49715208·debug·optional·macaulay2-dbgsym_1.25.06+ds-3_amd64.deb
4	·a~~6f8334~~8e0~~e2e8cd436133241~~c98a~~558~~·~~2621~~580·math·optional·macaulay2_1.25.06+ds-3_amd64.deb	2	·8edc098607016779db2451a8cc65aff3·30665808·math·optional·macaulay2-common_1.25.06+ds-3_all.deb
		3	·211a21d660a748037963b0b11217ad20·49715600·debug·optional·macaulay2-dbgsym_1.25.06+ds-3_amd64.deb
		4	·3c53dcbc4e135e4426a81a358400aa5a·2621968·math·optional·macaulay2_1.25.06+ds-3_amd64.deb


Offset 1, 3 lines modified		Offset 1, 3 lines modified
1	-rw-r--r--···0········0········0········4·2025-06-11·13:01:50.000000·debian-binary	1	-rw-r--r--···0········0········0········4·2025-06-11·13:01:50.000000·debian-binary
2	-rw-r--r--···0········0········0···515~~616~~·2025-06-11·13:01:50.000000·control.tar.xz	2	-rw-r--r--···0········0········0···515524·2025-06-11·13:01:50.000000·control.tar.xz
3	-rw-r--r--···0········0········0·301~~47376~~·2025-06-11·13:01:50.000000·data.tar.xz	3	-rw-r--r--···0········0········0·30150092·2025-06-11·13:01:50.000000·data.tar.xz


Offset 1, 13 lines modified		Offset 1, 13 lines modified
1	Package:·macaulay2-common	1	Package:·macaulay2-common
2	Source:·macaulay2	2	Source:·macaulay2
3	Version:·1.25.06+ds-3	3	Version:·1.25.06+ds-3
4	Architecture:·all	4	Architecture:·all
5	Maintainer:·Debian·Math·Team·<team+math@tracker.debian.org>	5	Maintainer:·Debian·Math·Team·<team+math@tracker.debian.org>
6	Installed-Size:·295475	6	Installed-Size:·295487
7	Depends:·fonts-glyphicons-halflings·(>=·1.009~3.4.1+dfsg),·fonts-katex·(>=·0.16.10+~cs6.1.0),·libjs-bootsidemenu·(>=·1.0.0),·libjs-bootstrap·(>=·3.4.1+dfsg),·libjs-d3·(>=·3.5.17),·libjs-jquery·(>=·3.6.1+dfsg+~3.5.14),·libjs-katex·(>=·0.16.10+~cs6.1.0),·libjs-nouislider·(>=·15.8.1+ds),·libjs-three·(>=·111+dfsg1),·node-clipboard·(>=·2.0.11+ds+~cs9.6.11)	7	Depends:·fonts-glyphicons-halflings·(>=·1.009~3.4.1+dfsg),·fonts-katex·(>=·0.16.10+~cs6.1.0),·libjs-bootsidemenu·(>=·1.0.0),·libjs-bootstrap·(>=·3.4.1+dfsg),·libjs-d3·(>=·3.5.17),·libjs-jquery·(>=·3.6.1+dfsg+~3.5.14),·libjs-katex·(>=·0.16.10+~cs6.1.0),·libjs-nouislider·(>=·15.8.1+ds),·libjs-three·(>=·111+dfsg1),·node-clipboard·(>=·2.0.11+ds+~cs9.6.11)
8	Section:·math	8	Section:·math
9	Priority:·optional	9	Priority:·optional
10	Multi-Arch:·foreign	10	Multi-Arch:·foreign
11	Homepage:·http://macaulay2.com	11	Homepage:·http://macaulay2.com
12	Description:·Software·system·for·algebraic·geometry·research·(common·files)	12	Description:·Software·system·for·algebraic·geometry·research·(common·files)
13	·Macaulay·2·is·a·software·system·for·algebraic·geometry·research,·written·by	13	·Macaulay·2·is·a·software·system·for·algebraic·geometry·research,·written·by


Offset 1, 11 lines modified		Offset 1, 11 lines modified
1	#·GDBM·dump·file·created·by·GDBM·version·1.24.·02/07/2024·on·~~Wed~~·Jun·11·01:01:50·2025	1	#·GDBM·dump·file·created·by·GDBM·version·1.24.·02/07/2024·on·Thu·Jun·12·03:01:50·2025
2	#:version=1.1	2	#:version=1.1
3	#:file=rawdocumentation-dcba-8.db	3	#:file=rawdocumentation-dcba-8.db
4	#:uid=~~1111~~,user=pbuilder1,gid=~~1111~~,group=pbuilder1,mode=644	4	#:uid=2222,user=pbuilder2,gid=2222,group=pbuilder2,mode=644
5	#:format=standard	5	#:format=standard
6	#·End·of·header	6	#·End·of·header
7	#:len=16	7	#:len=16
8	bWFrZURpYWdvbmFsRm9ybQ==	8	bWFrZURpYWdvbmFsRm9ybQ==
9	#:len=2204	9	#:len=2204
10	bmV3IEhhc2hUYWJsZSBmcm9tIHtIZWFkbGluZSA9PiAidGhlIEdyb3RoZW5kaWVjay1XaXR0IGNs	10	bmV3IEhhc2hUYWJsZSBmcm9tIHtIZWFkbGluZSA9PiAidGhlIEdyb3RoZW5kaWVjay1XaXR0IGNs
11	YXNzIG9mIGEgZGlhZ29uYWwgZm9ybSIsICJsaW5lbnVtIiA9PiAyNSwgSW5wdXRzID0+IHtTUEFO	11	YXNzIG9mIGEgZGlhZ29uYWwgZm9ybSIsICJsaW5lbnVtIiA9PiAyNSwgSW5wdXRzID0+IHtTUEFO


Offset 10, 25 lines modified		Offset 10, 25 lines modified

10	o2·=·cokernel·\|·a·b·c·\|	10	o2·=·cokernel·\|·a·b·c·\|

11	····························1	11	····························1
12	o2·:·R-module,·quotient·of·R	12	o2·:·R-module,·quotient·of·R

13	i3·:·elapsedTime·burkeResolution(M,·7,·Check·=>·false)	13	i3·:·elapsedTime·burkeResolution(M,·7,·Check·=>·false)
14	·--·3.~~184~~65s·elapsed	14	·--·2.21561s·elapsed

15	······1······3······9······27······81······243······729······2187	15	······1······3······9······27······81······243······729······2187
16	o3·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R	16	o3·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R
17	·····························································	17	·····························································
18	·····0······1······2······3·······4·······5········6········7	18	·····0······1······2······3·······4·······5········6········7

19	o3·:·Complex	19	o3·:·Complex

20	i4·:·elapsedTime·burkeResolution(M,·7,·Check·=>·true)	20	i4·:·elapsedTime·burkeResolution(M,·7,·Check·=>·true)
21	·--·2.~~6356~~s·elapsed	21	·--·2.75221s·elapsed

22	······1······3······9······27······81······243······729······2187	22	······1······3······9······27······81······243······729······2187
23	o4·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R	23	o4·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R
24	·····························································	24	·····························································
25	·····0······1······2······3·······4·······5········6········7	25	·····0······1······2······3·······4·······5········6········7

26	o4·:·Complex	26	o4·:·Complex


Offset 90, 28 lines modified		Offset 90, 28 lines modified
90	····························1	90	····························1
91	o2·:·R-module,·quotient·of·R</code></pre>	91	o2·:·R-module,·quotient·of·R</code></pre>
92	············</td>	92	············</td>
93	··········</tr>	93	··········</tr>
94	··········<tr>	94	··········<tr>
95	············<td>	95	············<td>
96	··············<pre><code·class="language-macaulay2">i3·:·elapsedTime·burkeResolution(M,·7,·Check·=>·false)	96	··············<pre><code·class="language-macaulay2">i3·:·elapsedTime·burkeResolution(M,·7,·Check·=>·false)
97	·--·3.~~184~~65s·elapsed	97	·--·2.21561s·elapsed

98	······1······3······9······27······81······243······729······2187	98	······1······3······9······27······81······243······729······2187
99	o3·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R	99	o3·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R
100	·····························································	100	·····························································
101	·····0······1······2······3·······4·······5········6········7	101	·····0······1······2······3·······4·······5········6········7

102	o3·:·Complex</code></pre>	102	o3·:·Complex</code></pre>
103	············</td>	103	············</td>
104	··········</tr>	104	··········</tr>
105	··········<tr>	105	··········<tr>
106	············<td>	106	············<td>
107	··············<pre><code·class="language-macaulay2">i4·:·elapsedTime·burkeResolution(M,·7,·Check·=>·true)	107	··············<pre><code·class="language-macaulay2">i4·:·elapsedTime·burkeResolution(M,·7,·Check·=>·true)
108	·--·2.~~6356~~s·elapsed	108	·--·2.75221s·elapsed

109	······1······3······9······27······81······243······729······2187	109	······1······3······9······27······81······243······729······2187
110	o4·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R	110	o4·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R
111	·····························································	111	·····························································
112	·····0······1······2······3·······4·······5········6········7	112	·····0······1······2······3·······4·······5········6········7

113	o4·:·Complex</code></pre>	113	o4·:·Complex</code></pre>


Offset 23, 24 lines modified		Offset 23, 24 lines modified
23	i2·:·M·=·coker·vars·R	23	i2·:·M·=·coker·vars·R

24	o2·=·cokernel·\|·a·b·c·\|	24	o2·=·cokernel·\|·a·b·c·\|

25	····························1	25	····························1
26	o2·:·R-module,·quotient·of·R	26	o2·:·R-module,·quotient·of·R
27	i3·:·elapsedTime·burkeResolution(M,·7,·Check·=>·false)	27	i3·:·elapsedTime·burkeResolution(M,·7,·Check·=>·false)
28	·--·3.~~184~~65s·elapsed	28	·--·2.21561s·elapsed

29	······1······3······9······27······81······243······729······2187	29	······1······3······9······27······81······243······729······2187
30	o3·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R	30	o3·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R

31	·····0······1······2······3·······4·······5········6········7	31	·····0······1······2······3·······4·······5········6········7

32	o3·:·Complex	32	o3·:·Complex
33	i4·:·elapsedTime·burkeResolution(M,·7,·Check·=>·true)	33	i4·:·elapsedTime·burkeResolution(M,·7,·Check·=>·true)
34	·--·2.~~6356~~s·elapsed	34	·--·2.75221s·elapsed

35	······1······3······9······27······81······243······729······2187	35	······1······3······9······27······81······243······729······2187
36	o4·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R	36	o4·=·R··<--·R··<--·R··<--·R···<--·R···<--·R····<--·R····<--·R

37	·····0······1······2······3·······4·······5········6········7	37	·····0······1······2······3·······4·······5········6········7

38	o4·:·Complex	38	o4·:·Complex


Offset 49, 15 lines modified		Offset 49, 15 lines modified
49	o8·:·BettiTally	49	o8·:·BettiTally

50	i9·:·c=codim·I	50	i9·:·c=codim·I

51	o9·=·4	51	o9·=·4

52	i10·:·elapsedTime·fI=res·I	52	i10·:·elapsedTime·fI=res·I
53	·--·.0~~19526~~2s·elapsed	53	·--·.0238682s·elapsed

54	········1·······14·······33·······28·······8	54	········1·······14·······33·······28·······8
55	o10·=·Pn··<--·Pn···<--·Pn···<--·Pn···<--·Pn··<--·0	55	o10·=·Pn··<--·Pn···<--·Pn···<--·Pn···<--·Pn··<--·0
56	··················································	56	··················································
57	······0·······1········2········3········4·······5	57	······0·······1········2········3········4·······5

58	o10·:·ChainComplex	58	o10·:·ChainComplex


Offset 87, 30 lines modified		Offset 87, 30 lines modified
87	o13·:·BettiTally	87	o13·:·BettiTally

88	i14·:·phi=map(P2,Pn,H);	88	i14·:·phi=map(P2,Pn,H);

89	o14·:·RingMap·P2·<--·Pn	89	o14·:·RingMap·P2·<--·Pn

90	i15·:·elapsedTime·betti(I'=trim·ker·phi)	90	i15·:·elapsedTime·betti(I'=trim·ker·phi)
91	·--·.687~~736~~s·elapsed	91	·--·.447945s·elapsed

92	·············0··1	92	·············0··1
93	o15·=·total:·1·11	93	o15·=·total:·1·11
94	··········0:·1··.	94	··········0:·1··.
95	··········1:·.··3	95	··········1:·.··3
96	··········2:·.··8	96	··········2:·.··8

97	o15·:·BettiTally	97	o15·:·BettiTally

98	i16·:·I'==·I	98	i16·:·I'==·I

99	o16·=·true	99	o16·=·true

100	i17·:·elapsedTime·basePts=primaryDecomposition·ideal·H;	100	i17·:·elapsedTime·basePts=primaryDecomposition·ideal·H;
101	·--·7.98~~279~~s·elapsed	101	·--·5.8184s·elapsed

102	i18·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))	102	i18·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))

103	··························0·1	103	··························0·1
104	o18·=·Tally{(1,·1,·total:·1·2)·=>·5}	104	o18·=·Tally{(1,·1,·total:·1·2)·=>·5}
105	·······················0:·1·2	105	·······················0:·1·2
106	··························0·1	106	··························0·1


Offset 79, 40 lines modified		Offset 79, 40 lines modified
79	··········1:·.·.	79	··········1:·.·.
80	··········2:·.·.	80	··········2:·.·.
81	··········3:·.·8	81	··········3:·.·8

82	o13·:·BettiTally	82	o13·:·BettiTally

83	i14·:·elapsedTime·sub(I,H)	83	i14·:·elapsedTime·sub(I,H)
84	·--·.01~~3973~~6s·elapsed	84	·--·.0148216s·elapsed

85	o14·=·ideal·(0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0)	85	o14·=·ideal·(0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0)

86	o14·:·Ideal·of·P2	86	o14·:·Ideal·of·P2

87	i15·:·phi=map(P2,Pn,H);	87	i15·:·phi=map(P2,Pn,H);

88	o15·:·RingMap·P2·<--·Pn	88	o15·:·RingMap·P2·<--·Pn

89	i16·:·elapsedTime·betti(I'=trim·ker·phi)	89	i16·:·elapsedTime·betti(I'=trim·ker·phi)
90	·--·.052596s·elapsed	90	·--·.0711251s·elapsed

91	·············0··1	91	·············0··1
92	o16·=·total:·1·12	92	o16·=·total:·1·12
93	··········0:·1··.	93	··········0:·1··.
94	··········1:·.·12	94	··········1:·.·12

95	o16·:·BettiTally	95	o16·:·BettiTally

96	i17·:·I'==·I	96	i17·:·I'==·I

97	o17·=·true	97	o17·=·true

98	i18·:·elapsedTime·basePts=primaryDecomposition·ideal·H;	98	i18·:·elapsedTime·basePts=primaryDecomposition·ideal·H;
99	·--·2.3385s·elapsed	99	·--·1.56897s·elapsed

100	i19·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))	100	i19·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))

101	···························0··1	101	···························0··1
102	o19·=·Tally{(0,·34,·total:·1·15)·=>·1}	102	o19·=·Tally{(0,·34,·total:·1·15)·=>·1}
103	························0:·1··.	103	························0:·1··.
104	························1:·.··.	104	························1:·.··.


Offset 149, 15 lines modified		Offset 149, 15 lines modified

149	o9·=·4</code></pre>	149	o9·=·4</code></pre>
150	············</td>	150	············</td>
151	··········</tr>	151	··········</tr>
152	··········<tr>	152	··········<tr>
153	············<td>	153	············<td>
154	··············<pre><code·class="language-macaulay2">i10·:·elapsedTime·fI=res·I	154	··············<pre><code·class="language-macaulay2">i10·:·elapsedTime·fI=res·I
155	·--·.0~~19526~~2s·elapsed	155	·--·.0238682s·elapsed

156	········1·······14·······33·······28·······8	156	········1·······14·······33·······28·······8
157	o10·=·Pn··<--·Pn···<--·Pn···<--·Pn···<--·Pn··<--·0	157	o10·=·Pn··<--·Pn···<--·Pn···<--·Pn···<--·Pn··<--·0
158	··················································	158	··················································
159	······0·······1········2········3········4·······5	159	······0·······1········2········3········4·······5

160	o10·:·ChainComplex</code></pre>	160	o10·:·ChainComplex</code></pre>


Offset 54, 15 lines modified		Offset 54, 15 lines modified
54	·········2:·.·12	54	·········2:·.·12

55	o8·:·BettiTally	55	o8·:·BettiTally
56	i9·:·c=codim·I	56	i9·:·c=codim·I

57	o9·=·4	57	o9·=·4
58	i10·:·elapsedTime·fI=res·I	58	i10·:·elapsedTime·fI=res·I
59	·--·.0~~19526~~2s·elapsed	59	·--·.0238682s·elapsed

60	········1·······14·······33·······28·······8	60	········1·······14·······33·······28·······8
61	o10·=·Pn··<--·Pn···<--·Pn···<--·Pn···<--·Pn··<--·0	61	o10·=·Pn··<--·Pn···<--·Pn···<--·Pn···<--·Pn··<--·0

62	······0·······1········2········3········4·······5	62	······0·······1········2········3········4·······5

63	o10·:·ChainComplex	63	o10·:·ChainComplex


Offset 217, 15 lines modified		Offset 217, 15 lines modified

217	o14·:·RingMap·P2·<--·Pn</code></pre>	217	o14·:·RingMap·P2·<--·Pn</code></pre>
218	············</td>	218	············</td>
219	··········</tr>	219	··········</tr>
220	··········<tr>	220	··········<tr>
221	············<td>	221	············<td>
222	··············<pre><code·class="language-macaulay2">i15·:·elapsedTime·betti(I'=trim·ker·phi)	222	··············<pre><code·class="language-macaulay2">i15·:·elapsedTime·betti(I'=trim·ker·phi)
223	·--·.687~~736~~s·elapsed	223	·--·.447945s·elapsed

224	·············0··1	224	·············0··1
225	o15·=·total:·1·11	225	o15·=·total:·1·11
226	··········0:·1··.	226	··········0:·1··.
227	··········1:·.··3	227	··········1:·.··3
228	··········2:·.··8	228	··········2:·.··8

Offset 238, 15 lines modified		Offset 238, 15 lines modified

238	o16·=·true</code></pre>	238	o16·=·true</code></pre>
239	············</td>	239	············</td>
240	··········</tr>	240	··········</tr>
241	··········<tr>	241	··········<tr>
242	············<td>	242	············<td>
243	··············<pre><code·class="language-macaulay2">i17·:·elapsedTime·basePts=primaryDecomposition·ideal·H;	243	··············<pre><code·class="language-macaulay2">i17·:·elapsedTime·basePts=primaryDecomposition·ideal·H;
244	·--·7.98~~279~~s·elapsed</code></pre>	244	·--·5.8184s·elapsed</code></pre>
245	············</td>	245	············</td>
246	··········</tr>	246	··········</tr>
247	··········<tr>	247	··········<tr>
248	············<td>	248	············<td>
249	··············<pre><code·class="language-macaulay2">i18·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))	249	··············<pre><code·class="language-macaulay2">i18·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))

250	··························0·1	250	··························0·1


Offset 110, 28 lines modified		Offset 110, 28 lines modified
110	··········6:·.·7	110	··········6:·.·7

111	o13·:·BettiTally	111	o13·:·BettiTally
112	i14·:·phi=map(P2,Pn,H);	112	i14·:·phi=map(P2,Pn,H);

113	o14·:·RingMap·P2·<--·Pn	113	o14·:·RingMap·P2·<--·Pn
114	i15·:·elapsedTime·betti(I'=trim·ker·phi)	114	i15·:·elapsedTime·betti(I'=trim·ker·phi)
115	·--·.687~~736~~s·elapsed	115	·--·.447945s·elapsed

116	·············0··1	116	·············0··1
117	o15·=·total:·1·11	117	o15·=·total:·1·11
118	··········0:·1··.	118	··········0:·1··.
119	··········1:·.··3	119	··········1:·.··3
120	··········2:·.··8	120	··········2:·.··8

121	o15·:·BettiTally	121	o15·:·BettiTally
122	i16·:·I'==·I	122	i16·:·I'==·I

123	o16·=·true	123	o16·=·true
124	i17·:·elapsedTime·basePts=primaryDecomposition·ideal·H;	124	i17·:·elapsedTime·basePts=primaryDecomposition·ideal·H;
125	·--·7.98~~279~~s·elapsed	125	·--·5.8184s·elapsed
126	i18·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))	126	i18·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))

127	··························0·1	127	··························0·1
128	o18·=·Tally{(1,·1,·total:·1·2)·=>·5}	128	o18·=·Tally{(1,·1,·total:·1·2)·=>·5}
129	·······················0:·1·2	129	·······················0:·1·2
130	··························0·1	130	··························0·1
131	············(1,·3,·total:·1·3)·=>·8	131	············(1,·3,·total:·1·3)·=>·8


Offset 2857, 25 lines modified		Offset 2857, 25 lines modified
2857	-rw-r--r--···0·root·········(0)·root·········(0)····27932·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/A1BrouwerDegrees/html/master.html	2857	-rw-r--r--···0·root·········(0)·root·········(0)····27932·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/A1BrouwerDegrees/html/master.html
2858	-rw-r--r--···0·root·········(0)·root·········(0)····10640·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/A1BrouwerDegrees/html/toc.html	2858	-rw-r--r--···0·root·········(0)·root·········(0)····10640·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/A1BrouwerDegrees/html/toc.html
2859	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/	2859	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/
2860	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/dump/	2860	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/dump/
2861	-rw-r--r--···0·root·········(0)·root·········(0)····41452·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/dump/rawdocumentation.dump	2861	-rw-r--r--···0·root·········(0)·root·········(0)····41452·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/dump/rawdocumentation.dump
2862	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/	2862	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/
2863	-rw-r--r--···0·root·········(0)·root·········(0)·····1000·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/___A__Infinity.out	2863	-rw-r--r--···0·root·········(0)·root·········(0)·····1000·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/___A__Infinity.out
2864	-rw-r--r--···0·root·········(0)·root·········(0)······917·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/___Check.out	2864	-rw-r--r--···0·root·········(0)·root·········(0)······918·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/___Check.out
2865	-rw-r--r--···0·root·········(0)·root·········(0)·····4348·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_a__Infinity.out	2865	-rw-r--r--···0·root·········(0)·root·········(0)·····4348·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_a__Infinity.out
2866	-rw-r--r--···0·root·········(0)·root·········(0)····56403·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_burke__Resolution.out	2866	-rw-r--r--···0·root·········(0)·root·········(0)····56403·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_burke__Resolution.out
2867	-rw-r--r--···0·root·········(0)·root·········(0)·····3427·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_display__Blocks.out	2867	-rw-r--r--···0·root·········(0)·root·········(0)·····3427·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_display__Blocks.out
2868	-rw-r--r--···0·root·········(0)·root·········(0)·····3016·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_extract__Blocks.out	2868	-rw-r--r--···0·root·········(0)·root·········(0)·····3016·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_extract__Blocks.out
2869	-rw-r--r--···0·root·········(0)·root·········(0)·····1714·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_golod__Betti.out	2869	-rw-r--r--···0·root·········(0)·root·········(0)·····1714·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_golod__Betti.out
2870	-rw-r--r--···0·root·········(0)·root·········(0)······832·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_is__Golod__A__Inf.out	2870	-rw-r--r--···0·root·········(0)·root·········(0)······832·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_is__Golod__A__Inf.out
2871	-rw-r--r--···0·root·········(0)·root·········(0)·····2183·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_picture.out	2871	-rw-r--r--···0·root·········(0)·root·········(0)·····2183·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/example-output/_picture.out
2872	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/	2872	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/
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2877	-rw-r--r--···0·root·········(0)·root·········(0)·····9657·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_display__Blocks.html	2877	-rw-r--r--···0·root·········(0)·root·········(0)·····9657·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_display__Blocks.html
2878	-rw-r--r--···0·root·········(0)·root·········(0)····10392·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_extract__Blocks.html	2878	-rw-r--r--···0·root·········(0)·root·········(0)····10392·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_extract__Blocks.html
2879	-rw-r--r--···0·root·········(0)·root·········(0)·····9277·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_golod__Betti.html	2879	-rw-r--r--···0·root·········(0)·root·········(0)·····9277·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_golod__Betti.html
2880	-rw-r--r--···0·root·········(0)·root·········(0)·····5933·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_has__Minimal__Mult.html	2880	-rw-r--r--···0·root·········(0)·root·········(0)·····5933·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AInfinity/html/_has__Minimal__Mult.html
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2972	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/	2972	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/
2973	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/dump/	2973	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/dump/
2974	-rw-r--r--···0·root·········(0)·root·········(0)····37105·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/dump/rawdocumentation.dump	2974	-rw-r--r--···0·root·········(0)·root·········(0)····37105·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/dump/rawdocumentation.dump
2975	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/example-output/	2975	drwxr-xr-x···0·root·········(0)·root·········(0)········0·2025-06-11·13:01:50.000000·./usr/share/doc/Macaulay2/AdjunctionForSurfaces/example-output/
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Offset 114, 26 lines modified		Offset 114, 26 lines modified
114	······\|·19a+19b··-38a-16b·-18a-13b·16a+22b··\|	114	······\|·19a+19b··-38a-16b·-18a-13b·16a+22b··\|
115	······\|·-10a-29b·39a+21b··-43a-15b·45a-34b··\|	115	······\|·-10a-29b·39a+21b··-43a-15b·45a-34b··\|

116	··············4······4	116	··············4······4
117	o13·:·Matrix·A··<--·A	117	o13·:·Matrix·A··<--·A

118	i14·:·time·betti·(F·=·pureResolution(M,{0,2,4}))	118	i14·:·time·betti·(F·=·pureResolution(M,{0,2,4}))
119	·--·used·0.3~~60271~~s·(cpu);·0.3~~08086~~s·(thread);·0s·(gc)	119	·--·used·0.373429s·(cpu);·0.315567s·(thread);·0s·(gc)

120	·············0·1·2	120	·············0·1·2
121	o14·=·total:·3·6·3	121	o14·=·total:·3·6·3
122	··········0:·3·.·.	122	··········0:·3·.·.
123	··········1:·.·6·.	123	··········1:·.·6·.
124	··········2:·.·.·3	124	··········2:·.·.·3

125	o14·:·BettiTally	125	o14·:·BettiTally

126	i15·:·time·betti·(F·=·pureResolution(11,4,{0,2,4}))	126	i15·:·time·betti·(F·=·pureResolution(11,4,{0,2,4}))
127	·--·used·0.5~~06928~~s·(cpu);·0.3~~9351~~s·(thread);·0s·(gc)	127	·--·used·0.527105s·(cpu);·0.386887s·(thread);·0s·(gc)

128	·············0·1·2	128	·············0·1·2
129	o15·=·total:·3·6·3	129	o15·=·total:·3·6·3
130	··········0:·3·.·.	130	··········0:·3·.·.
131	··········1:·.·6·.	131	··········1:·.·6·.
132	··········2:·.·.·3	132	··········2:·.·.·3


Offset 253, 15 lines modified		Offset 253, 15 lines modified
253	··············4······4	253	··············4······4
254	o13·:·Matrix·A··<--·A</code></pre>	254	o13·:·Matrix·A··<--·A</code></pre>
255	············</td>	255	············</td>
256	··········</tr>	256	··········</tr>
257	··········<tr>	257	··········<tr>
258	············<td>	258	············<td>
259	··············<pre><code·class="language-macaulay2">i14·:·time·betti·(F·=·pureResolution(M,{0,2,4}))	259	··············<pre><code·class="language-macaulay2">i14·:·time·betti·(F·=·pureResolution(M,{0,2,4}))
260	·--·used·0.3~~60271~~s·(cpu);·0.3~~08086~~s·(thread);·0s·(gc)	260	·--·used·0.373429s·(cpu);·0.315567s·(thread);·0s·(gc)

261	·············0·1·2	261	·············0·1·2
262	o14·=·total:·3·6·3	262	o14·=·total:·3·6·3
263	··········0:·3·.·.	263	··········0:·3·.·.
264	··········1:·.·6·.	264	··········1:·.·6·.
265	··········2:·.·.·3	265	··········2:·.·.·3

Offset 272, 15 lines modified		Offset 272, 15 lines modified
272	········<div>	272	········<div>
273	··········<p>With·the·form·<span·class="tt">pureResolution(p,q,D)</span>·we·can·directly·create·the·situation·of·<span·class="tt">pureResolution(M,D)</span>·where·M·is·generic·product(m_i+1)·x·#D-1+sum(m_i)·matrix·of·linear·forms·defined·over·a·ring·with·product(m_i+1)·*·#D-1+sum(m_i)·variables·of·characteristic·p,·created·by·the·script.·For·a·given·number·of·variables·in·A·this·runs·much·faster·than·taking·a·random·matrix·M.</p>	273	··········<p>With·the·form·<span·class="tt">pureResolution(p,q,D)</span>·we·can·directly·create·the·situation·of·<span·class="tt">pureResolution(M,D)</span>·where·M·is·generic·product(m_i+1)·x·#D-1+sum(m_i)·matrix·of·linear·forms·defined·over·a·ring·with·product(m_i+1)·*·#D-1+sum(m_i)·variables·of·characteristic·p,·created·by·the·script.·For·a·given·number·of·variables·in·A·this·runs·much·faster·than·taking·a·random·matrix·M.</p>
274	········</div>	274	········</div>
275	········<table·class="examples">	275	········<table·class="examples">
276	··········<tr>	276	··········<tr>
277	············<td>	277	············<td>
278	··············<pre><code·class="language-macaulay2">i15·:·time·betti·(F·=·pureResolution(11,4,{0,2,4}))	278	··············<pre><code·class="language-macaulay2">i15·:·time·betti·(F·=·pureResolution(11,4,{0,2,4}))
279	·--·used·0.5~~06928~~s·(cpu);·0.3~~9351~~s·(thread);·0s·(gc)	279	·--·used·0.527105s·(cpu);·0.386887s·(thread);·0s·(gc)

280	·············0·1·2	280	·············0·1·2
281	o15·=·total:·3·6·3	281	o15·=·total:·3·6·3
282	··········0:·3·.·.	282	··········0:·3·.·.
283	··········1:·.·6·.	283	··········1:·.·6·.
284	··········2:·.·.·3	284	··········2:·.·.·3


Offset 161, 30 lines modified		Offset 161, 30 lines modified
161	······\|·-30a-29b·-29a-24b·-47a-39b·38a+2b···\|	161	······\|·-30a-29b·-29a-24b·-47a-39b·38a+2b···\|
162	······\|·19a+19b··-38a-16b·-18a-13b·16a+22b··\|	162	······\|·19a+19b··-38a-16b·-18a-13b·16a+22b··\|
163	······\|·-10a-29b·39a+21b··-43a-15b·45a-34b··\|	163	······\|·-10a-29b·39a+21b··-43a-15b·45a-34b··\|

164	··············4······4	164	··············4······4
165	o13·:·Matrix·A··<--·A	165	o13·:·Matrix·A··<--·A
166	i14·:·time·betti·(F·=·pureResolution(M,{0,2,4}))	166	i14·:·time·betti·(F·=·pureResolution(M,{0,2,4}))
167	·--·used·0.3~~60271~~s·(cpu);·0.3~~08086~~s·(thread);·0s·(gc)	167	·--·used·0.373429s·(cpu);·0.315567s·(thread);·0s·(gc)

168	·············0·1·2	168	·············0·1·2
169	o14·=·total:·3·6·3	169	o14·=·total:·3·6·3
170	··········0:·3·.·.	170	··········0:·3·.·.
171	··········1:·.·6·.	171	··········1:·.·6·.
172	··········2:·.·.·3	172	··········2:·.·.·3

173	o14·:·BettiTally	173	o14·:·BettiTally
174	With·the·form·pureResolution(p,q,D)·we·can·directly·create·the·situation·of	174	With·the·form·pureResolution(p,q,D)·we·can·directly·create·the·situation·of
175	pureResolution(M,D)·where·M·is·generic·product(m_i+1)·x·#D-1+sum(m_i)·matrix·of	175	pureResolution(M,D)·where·M·is·generic·product(m_i+1)·x·#D-1+sum(m_i)·matrix·of
176	linear·forms·defined·over·a·ring·with·product(m_i+1)·*·#D-1+sum(m_i)·variables	176	linear·forms·defined·over·a·ring·with·product(m_i+1)·*·#D-1+sum(m_i)·variables
177	of·characteristic·p,·created·by·the·script.·For·a·given·number·of·variables·in	177	of·characteristic·p,·created·by·the·script.·For·a·given·number·of·variables·in
178	A·this·runs·much·faster·than·taking·a·random·matrix·M.	178	A·this·runs·much·faster·than·taking·a·random·matrix·M.
179	i15·:·time·betti·(F·=·pureResolution(11,4,{0,2,4}))	179	i15·:·time·betti·(F·=·pureResolution(11,4,{0,2,4}))
180	·--·used·0.5~~06928~~s·(cpu);·0.3~~9351~~s·(thread);·0s·(gc)	180	·--·used·0.527105s·(cpu);·0.386887s·(thread);·0s·(gc)

181	·············0·1·2	181	·············0·1·2
182	o15·=·total:·3·6·3	182	o15·=·total:·3·6·3
183	··········0:·3·.·.	183	··········0:·3·.·.
184	··········1:·.·6·.	184	··········1:·.·6·.
185	··········2:·.·.·3	185	··········2:·.·.·3


Offset 193, 15 lines modified		Offset 193, 15 lines modified

193	o13·:·BettiTally</code></pre>	193	o13·:·BettiTally</code></pre>
194	············</td>	194	············</td>
195	··········</tr>	195	··········</tr>
196	··········<tr>	196	··········<tr>
197	············<td>	197	············<td>
198	··············<pre><code·class="language-macaulay2">i14·:·elapsedTime·sub(I,H)	198	··············<pre><code·class="language-macaulay2">i14·:·elapsedTime·sub(I,H)
199	·--·.01~~3973~~6s·elapsed	199	·--·.0148216s·elapsed

200	o14·=·ideal·(0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0)	200	o14·=·ideal·(0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0)

201	o14·:·Ideal·of·P2</code></pre>	201	o14·:·Ideal·of·P2</code></pre>
202	············</td>	202	············</td>
203	··········</tr>	203	··········</tr>
204	··········<tr>	204	··········<tr>
Offset 210, 15 lines modified		Offset 210, 15 lines modified

210	o15·:·RingMap·P2·<--·Pn</code></pre>	210	o15·:·RingMap·P2·<--·Pn</code></pre>
211	············</td>	211	············</td>
212	··········</tr>	212	··········</tr>
213	··········<tr>	213	··········<tr>
214	············<td>	214	············<td>
215	··············<pre><code·class="language-macaulay2">i16·:·elapsedTime·betti(I'=trim·ker·phi)	215	··············<pre><code·class="language-macaulay2">i16·:·elapsedTime·betti(I'=trim·ker·phi)
216	·--·.052596s·elapsed	216	·--·.0711251s·elapsed

217	·············0··1	217	·············0··1
218	o16·=·total:·1·12	218	o16·=·total:·1·12
219	··········0:·1··.	219	··········0:·1··.
220	··········1:·.·12	220	··········1:·.·12

221	o16·:·BettiTally</code></pre>	221	o16·:·BettiTally</code></pre>
Offset 230, 15 lines modified		Offset 230, 15 lines modified

230	o17·=·true</code></pre>	230	o17·=·true</code></pre>
231	············</td>	231	············</td>
232	··········</tr>	232	··········</tr>
233	··········<tr>	233	··········<tr>
234	············<td>	234	············<td>
235	··············<pre><code·class="language-macaulay2">i18·:·elapsedTime·basePts=primaryDecomposition·ideal·H;	235	··············<pre><code·class="language-macaulay2">i18·:·elapsedTime·basePts=primaryDecomposition·ideal·H;
236	·--·2.3385s·elapsed</code></pre>	236	·--·1.56897s·elapsed</code></pre>
237	············</td>	237	············</td>
238	··········</tr>	238	··········</tr>
239	··········<tr>	239	··········<tr>
240	············<td>	240	············<td>
241	··············<pre><code·class="language-macaulay2">i19·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))	241	··············<pre><code·class="language-macaulay2">i19·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))

242	···························0··1	242	···························0··1


Offset 82, 36 lines modified		Offset 82, 36 lines modified
82	··········0:·1·.	82	··········0:·1·.
83	··········1:·.·.	83	··········1:·.·.
84	··········2:·.·.	84	··········2:·.·.
85	··········3:·.·8	85	··········3:·.·8

86	o13·:·BettiTally	86	o13·:·BettiTally
87	i14·:·elapsedTime·sub(I,H)	87	i14·:·elapsedTime·sub(I,H)
88	·--·.01~~3973~~6s·elapsed	88	·--·.0148216s·elapsed

89	o14·=·ideal·(0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0)	89	o14·=·ideal·(0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0,·0)

90	o14·:·Ideal·of·P2	90	o14·:·Ideal·of·P2
91	i15·:·phi=map(P2,Pn,H);	91	i15·:·phi=map(P2,Pn,H);

92	o15·:·RingMap·P2·<--·Pn	92	o15·:·RingMap·P2·<--·Pn
93	i16·:·elapsedTime·betti(I'=trim·ker·phi)	93	i16·:·elapsedTime·betti(I'=trim·ker·phi)
94	·--·.052596s·elapsed	94	·--·.0711251s·elapsed

95	·············0··1	95	·············0··1
96	o16·=·total:·1·12	96	o16·=·total:·1·12
97	··········0:·1··.	97	··········0:·1··.
98	··········1:·.·12	98	··········1:·.·12

99	o16·:·BettiTally	99	o16·:·BettiTally
100	i17·:·I'==·I	100	i17·:·I'==·I

101	o17·=·true	101	o17·=·true
102	i18·:·elapsedTime·basePts=primaryDecomposition·ideal·H;	102	i18·:·elapsedTime·basePts=primaryDecomposition·ideal·H;
103	·--·2.3385s·elapsed	103	·--·1.56897s·elapsed
104	i19·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))	104	i19·:·tally·apply(basePts,c->(dim·c,·degree·c,·betti·c))

105	···························0··1	105	···························0··1
106	o19·=·Tally{(0,·34,·total:·1·15)·=>·1}	106	o19·=·Tally{(0,·34,·total:·1·15)·=>·1}
107	························0:·1··.	107	························0:·1··.
108	························1:·.··.	108	························1:·.··.
109	························2:·.··.	109	························2:·.··.


Offset 1, 10 lines modified		Offset 1, 10 lines modified
1	--·--·M2-comint·--·hash:·1330545576567	1	--·--·M2-comint·--·hash:·1330545576567

2	i1·:·runBenchmarks·"res39"	2	i1·:·runBenchmarks·"res39"
3	--·beginning·computation·Sun·Jun·15·03:49:01·-12·2025	3	--·beginning·computation·Sun·Jul·19·15:37:17·+14·2026
4	--·Linux·i~~nfom01~~-~~amd64~~·6.1.~~0-3~~7~~-cl~~oud-amd64·#1·SMP·PREEMPT_DYNAMIC·Debian·6.1.1~~40-~~1·(2025-05-22)·x86_64·GNU/Linux	4	--·Linux·i-capture-the-hostname·6.12.27+bpo-amd64·#1·SMP·PREEMPT_DYNAMIC·Debian·6.12.27-1~bpo12+1·(2025-05-19)·x86_64·GNU/Linux
5	--·AMD·EPYC-Rome·Processor··AuthenticAMD··cpu·MHz·2196.~~688~~··	5	--·AMD·EPYC-Rome·Processor··AuthenticAMD··cpu·MHz·1996.250··
6	--·Macaulay2·1.25.06,·compiled·with·gcc·14.2.0	6	--·Macaulay2·1.25.06,·compiled·with·gcc·14.2.0
7	--·res39:·res·of·a·generic·3·by·9·matrix·over·ZZ/101:·.12902·seconds	7	--·res39:·res·of·a·generic·3·by·9·matrix·over·ZZ/101:·.153094·seconds

8	i2·:·	8	i2·:·


Offset 75, 19 lines modified		Offset 75, 19 lines modified
75	········<div>	75	········<div>
76	··········<p>The·tests·available·are:·<br>"deg2generic"·--·gb·of·a·generic·ideal·of·codimension·2·and·degree·2<br>"gb4by4comm"·--·gb·of·the·ideal·of·generic·commuting·4·by·4·matrices·over·ZZ/101<br>"gb3445"·--·gb·of·an·ideal·with·elements·of·degree·3,4,4,5·in·8·variables<br>"gbB148"·--·gb·of·Bayesian·graph·ideal·#148<br>"res39"·--·res·of·a·generic·3·by·9·matrix·over·ZZ/101<br>"resG25"·--·res·of·the·coordinate·ring·of·Grassmannian(2,5)<br>"yang-gb1"·--·an·example·of·Yang-Hui·He·arising·in·string·theory<br>"yang-subring"·--·an·example·of·Yang-Hui·He<br></p>	76	··········<p>The·tests·available·are:·<br>"deg2generic"·--·gb·of·a·generic·ideal·of·codimension·2·and·degree·2<br>"gb4by4comm"·--·gb·of·the·ideal·of·generic·commuting·4·by·4·matrices·over·ZZ/101<br>"gb3445"·--·gb·of·an·ideal·with·elements·of·degree·3,4,4,5·in·8·variables<br>"gbB148"·--·gb·of·Bayesian·graph·ideal·#148<br>"res39"·--·res·of·a·generic·3·by·9·matrix·over·ZZ/101<br>"resG25"·--·res·of·the·coordinate·ring·of·Grassmannian(2,5)<br>"yang-gb1"·--·an·example·of·Yang-Hui·He·arising·in·string·theory<br>"yang-subring"·--·an·example·of·Yang-Hui·He<br></p>
77	········</div>	77	········</div>
78	········<table·class="examples">	78	········<table·class="examples">
79	··········<tr>	79	··········<tr>
80	············<td>	80	············<td>
81	··············<pre><code·class="language-macaulay2">i1·:·runBenchmarks·"res39"	81	··············<pre><code·class="language-macaulay2">i1·:·runBenchmarks·"res39"
82	--·beginning·computation·Sun·Jun·15·03:49:01·-12·2025	82	--·beginning·computation·Sun·Jul·19·15:37:17·+14·2026
83	--·Linux·i~~nfom01~~-~~amd64~~·6.1.~~0-3~~7~~-cl~~oud-amd64·#1·SMP·PREEMPT_DYNAMIC·Debian·6.1.1~~40-~~1·(2025-05-22)·x86_64·GNU/Linux	83	--·Linux·i-capture-the-hostname·6.12.27+bpo-amd64·#1·SMP·PREEMPT_DYNAMIC·Debian·6.12.27-1~bpo12+1·(2025-05-19)·x86_64·GNU/Linux
84	--·AMD·EPYC-Rome·Processor··AuthenticAMD··cpu·MHz·2196.~~688~~··	84	--·AMD·EPYC-Rome·Processor··AuthenticAMD··cpu·MHz·1996.250··
85	--·Macaulay2·1.25.06,·compiled·with·gcc·14.2.0	85	--·Macaulay2·1.25.06,·compiled·with·gcc·14.2.0
86	--·res39:·res·of·a·generic·3·by·9·matrix·over·ZZ/101:·.12902·seconds</code></pre>	86	--·res39:·res·of·a·generic·3·by·9·matrix·over·ZZ/101:·.153094·seconds</code></pre>
87	············</td>	87	············</td>
88	··········</tr>	88	··········</tr>
89	········</table>	89	········</table>
90	······</div>	90	······</div>
91	······<div>	91	······<div>
92	········<div·class="waystouse">	92	········<div·class="waystouse">
93	··········<h2>For·the·programmer</h2>	93	··········<h2>For·the·programmer</h2>


Offset 23, 18 lines modified		Offset 23, 18 lines modified
23	"gb3445"·--·gb·of·an·ideal·with·elements·of·degree·3,4,4,5·in·8·variables	23	"gb3445"·--·gb·of·an·ideal·with·elements·of·degree·3,4,4,5·in·8·variables
24	"gbB148"·--·gb·of·Bayesian·graph·ideal·#148	24	"gbB148"·--·gb·of·Bayesian·graph·ideal·#148
25	"res39"·--·res·of·a·generic·3·by·9·matrix·over·ZZ/101	25	"res39"·--·res·of·a·generic·3·by·9·matrix·over·ZZ/101
26	"resG25"·--·res·of·the·coordinate·ring·of·Grassmannian(2,5)	26	"resG25"·--·res·of·the·coordinate·ring·of·Grassmannian(2,5)
27	"yang-gb1"·--·an·example·of·Yang-Hui·He·arising·in·string·theory	27	"yang-gb1"·--·an·example·of·Yang-Hui·He·arising·in·string·theory
28	"yang-subring"·--·an·example·of·Yang-Hui·He	28	"yang-subring"·--·an·example·of·Yang-Hui·He
29	i1·:·runBenchmarks·"res39"	29	i1·:·runBenchmarks·"res39"
30	--·beginning·computation·Sun·Jun·15·03:49:01·-12·2025	30	--·beginning·computation·Sun·Jul·19·15:37:17·+14·2026
31	--·Linux·i~~nfom01~~-~~amd64~~·6.1.~~0-3~~7~~-cl~~oud-amd64·#1·SMP·PREEMPT_DYNAMIC·Debian	31	--·Linux·i-capture-the-hostname·6.12.27+bpo-amd64·#1·SMP·PREEMPT_DYNAMIC·Debian
32	6.1.1~~40-~~1·(2025-05-22)·x86_64·GNU/Linux	32	6.12.27-1~bpo12+1·(2025-05-19)·x86_64·GNU/Linux
33	--·AMD·EPYC-Rome·Processor··AuthenticAMD··cpu·MHz·2196.~~688~~	33	--·AMD·EPYC-Rome·Processor··AuthenticAMD··cpu·MHz·1996.250
34	--·Macaulay2·1.25.06,·compiled·with·gcc·14.2.0	34	--·Macaulay2·1.25.06,·compiled·with·gcc·14.2.0
35	--·res39:·res·of·a·generic·3·by·9·matrix·over·ZZ/101:·.12902·seconds	35	--·res39:·res·of·a·generic·3·by·9·matrix·over·ZZ/101:·.153094·seconds
36	\x8\x8\x8\x8\x8·F\x8Fo\x8or\x8r·t\x8th\x8he\x8e·p\x8pr\x8ro\x8og\x8gr\x8ra\x8am\x8mm\x8me\x8er\x8r·\x8\x8\x8\x8\x8	36	\x8\x8\x8\x8\x8·F\x8Fo\x8or\x8r·t\x8th\x8he\x8e·p\x8pr\x8ro\x8og\x8gr\x8ra\x8am\x8mm\x8me\x8er\x8r·\x8\x8\x8\x8\x8
37	The·object·_\x8r_\x8u_\x8n_\x8B_\x8e_\x8n_\x8c_\x8h_\x8m_\x8a_\x8r_\x8k_\x8s·is·a·_\x8c_\x8o_\x8m_\x8m_\x8a_\x8n_\x8d.	37	The·object·_\x8r_\x8u_\x8n_\x8B_\x8e_\x8n_\x8c_\x8h_\x8m_\x8a_\x8r_\x8k_\x8s·is·a·_\x8c_\x8o_\x8m_\x8m_\x8a_\x8n_\x8d.
38	===============================================================================	38	===============================================================================
39	The·source·of·this·document·is·in·/build/reproducible-path/macaulay2-	39	The·source·of·this·document·is·in·/build/reproducible-path/macaulay2-
40	1.25.06+ds/M2/Macaulay2/packages/Benchmark.m2:297:0.	40	1.25.06+ds/M2/Macaulay2/packages/Benchmark.m2:297:0.


Offset 72, 15 lines modified		Offset 72, 15 lines modified
72	············<li><span><a·title="an·option·to·group·variables·and·use·multihomogeneous·homotopies"·href="___Variable_spgroups.html">HomVariableGroup</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·to·group·variables·and·use·multihomogeneous·homotopies</span></span></li>	72	············<li><span><a·title="an·option·to·group·variables·and·use·multihomogeneous·homotopies"·href="___Variable_spgroups.html">HomVariableGroup</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·to·group·variables·and·use·multihomogeneous·homotopies</span></span></li>
73	············<li><span><span·class="tt">M2Precision</span>·(missing·documentation)<!--tag:·[bertiniParameterHomotopy,·M2Precision]-->	73	············<li><span><span·class="tt">M2Precision</span>·(missing·documentation)<!--tag:·[bertiniParameterHomotopy,·M2Precision]-->
74	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·53</span>,·<span></span></span></li>	74	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·53</span>,·<span></span></span></li>
75	············<li><span><span·class="tt">OutputStyle</span>·(missing·documentation)<!--tag:·[bertiniParameterHomotopy,·OutputStyle]-->	75	············<li><span><span·class="tt">OutputStyle</span>·(missing·documentation)<!--tag:·[bertiniParameterHomotopy,·OutputStyle]-->
76	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"OutPoints"</span>,·<span></span></span></li>	76	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"OutPoints"</span>,·<span></span></span></li>
77	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomComplex</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>	77	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomComplex</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>
78	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomReal</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>	78	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomReal</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>
79	············<li><span><a·title="Option·to·change·directory·for·file·storage."·href="___Top__Directory.html">TopDirectory</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"/tmp/M2-3~~8720~~83-0/0"</span>,·<span>Option·to·change·directory·for·file·storage.</span></span></li>	79	············<li><span><a·title="Option·to·change·directory·for·file·storage."·href="___Top__Directory.html">TopDirectory</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"/tmp/M2-3996789-0/0"</span>,·<span>Option·to·change·directory·for·file·storage.</span></span></li>
80	············<li><span><a·title="Option·to·silence·additional·output"·href="_bertini__Track__Homotopy_lp..._cm__Verbose_eq_gt..._rp.html">Verbose</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·false</span>,·<span>Option·to·silence·additional·output</span></span></li>	80	············<li><span><a·title="Option·to·silence·additional·output"·href="_bertini__Track__Homotopy_lp..._cm__Verbose_eq_gt..._rp.html">Verbose</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·false</span>,·<span>Option·to·silence·additional·output</span></span></li>
81	··········</ul>	81	··········</ul>
82	········</li>	82	········</li>
83	········<li>Outputs:··········<ul>	83	········<li>Outputs:··········<ul>
84	············<li><span><span·class="tt">S</span>,·<span>a·<a·title="the·class·of·all·lists·--·{...}"·href="../../Macaulay2Doc/html/___List.html">list</a></span>,·a·list·whose·entries·are·lists·of·solutions·for·each·target·system</span></li>	84	············<li><span><span·class="tt">S</span>,·<span>a·<a·title="the·class·of·all·lists·--·{...}"·href="../../Macaulay2Doc/html/___List.html">list</a></span>,·a·list·whose·entries·are·lists·of·solutions·for·each·target·system</span></li>
85	··········</ul>	85	··········</ul>
86	········</li>	86	········</li>


Offset 26, 15 lines modified		Offset 26, 15 lines modified
26	············"OutPoints",	26	············"OutPoints",
27	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x·=>·...,·default·value·{},·an·option·which·designates	27	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x·=>·...,·default·value·{},·an·option·which·designates
28	············symbols/strings/variables·that·will·be·set·to·be·a·random·real	28	············symbols/strings/variables·that·will·be·set·to·be·a·random·real
29	············number·or·random·complex·number	29	············number·or·random·complex·number
30	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8R_\x8e_\x8a_\x8l·=>·...,·default·value·{},·an·option·which·designates	30	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8R_\x8e_\x8a_\x8l·=>·...,·default·value·{},·an·option·which·designates
31	············symbols/strings/variables·that·will·be·set·to·be·a·random·real	31	············symbols/strings/variables·that·will·be·set·to·be·a·random·real
32	············number·or·random·complex·number	32	············number·or·random·complex·number
33	··········o·_\x8T_\x8o_\x8p_\x8D_\x8i_\x8r_\x8e_\x8c_\x8t_\x8o_\x8r_\x8y·=>·...,·default·value·"/tmp/M2-3~~8720~~83-0/0",·Option·to	33	··········o·_\x8T_\x8o_\x8p_\x8D_\x8i_\x8r_\x8e_\x8c_\x8t_\x8o_\x8r_\x8y·=>·...,·default·value·"/tmp/M2-3996789-0/0",·Option·to
34	············change·directory·for·file·storage.	34	············change·directory·for·file·storage.
35	··········o·_\x8V_\x8e_\x8r_\x8b_\x8o_\x8s_\x8e·=>·...,·default·value·false,·Option·to·silence·additional	35	··········o·_\x8V_\x8e_\x8r_\x8b_\x8o_\x8s_\x8e·=>·...,·default·value·false,·Option·to·silence·additional
36	············output	36	············output
37	····*·Outputs:	37	····*·Outputs:
38	··········o·S,·a·_\x8l_\x8i_\x8s_\x8t,·a·list·whose·entries·are·lists·of·solutions·for·each	38	··········o·S,·a·_\x8l_\x8i_\x8s_\x8t,·a·list·whose·entries·are·lists·of·solutions·for·each
39	············target·system	39	············target·system
40	\x8\x8\x8\x8\x8·D\x8De\x8es\x8sc\x8cr\x8ri\x8ip\x8pt\x8ti\x8io\x8on\x8n·\x8\x8\x8\x8\x8	40	\x8\x8\x8\x8\x8·D\x8De\x8es\x8sc\x8cr\x8ri\x8ip\x8pt\x8ti\x8io\x8on\x8n·\x8\x8\x8\x8\x8


Offset 77, 15 lines modified		Offset 77, 15 lines modified
77	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·53</span>,·<span></span></span></li>	77	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·53</span>,·<span></span></span></li>
78	············<li><span><span·class="tt">OutputStyle</span>·(missing·documentation)<!--tag:·[bertiniUserHomotopy,·OutputStyle]-->	78	············<li><span><span·class="tt">OutputStyle</span>·(missing·documentation)<!--tag:·[bertiniUserHomotopy,·OutputStyle]-->
79	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"OutPoints"</span>,·<span></span></span></li>	79	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"OutPoints"</span>,·<span></span></span></li>
80	············<li><span><span·class="tt">RandomComplex</span>·(missing·documentation)<!--tag:·[bertiniUserHomotopy,·RandomComplex]-->	80	············<li><span><span·class="tt">RandomComplex</span>·(missing·documentation)<!--tag:·[bertiniUserHomotopy,·RandomComplex]-->
81	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span></span></span></li>	81	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span></span></span></li>
82	············<li><span><span·class="tt">RandomReal</span>·(missing·documentation)<!--tag:·[bertiniUserHomotopy,·RandomReal]-->	82	············<li><span><span·class="tt">RandomReal</span>·(missing·documentation)<!--tag:·[bertiniUserHomotopy,·RandomReal]-->
83	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span></span></span></li>	83	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span></span></span></li>
84	············<li><span><a·title="Option·to·change·directory·for·file·storage."·href="___Top__Directory.html">TopDirectory</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"/tmp/M2-3~~8720~~83-0/0"</span>,·<span>Option·to·change·directory·for·file·storage.</span></span></li>	84	············<li><span><a·title="Option·to·change·directory·for·file·storage."·href="___Top__Directory.html">TopDirectory</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"/tmp/M2-3996789-0/0"</span>,·<span>Option·to·change·directory·for·file·storage.</span></span></li>
85	············<li><span><a·title="Option·to·silence·additional·output"·href="_bertini__Track__Homotopy_lp..._cm__Verbose_eq_gt..._rp.html">Verbose</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·false</span>,·<span>Option·to·silence·additional·output</span></span></li>	85	············<li><span><a·title="Option·to·silence·additional·output"·href="_bertini__Track__Homotopy_lp..._cm__Verbose_eq_gt..._rp.html">Verbose</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·false</span>,·<span>Option·to·silence·additional·output</span></span></li>
86	··········</ul>	86	··········</ul>
87	········</li>	87	········</li>
88	········<li>Outputs:··········<ul>	88	········<li>Outputs:··········<ul>
89	············<li><span><span·class="tt">S0</span>,·<span>a·<a·title="the·class·of·all·lists·--·{...}"·href="../../Macaulay2Doc/html/___List.html">list</a></span>,·a·list·of·solutions·to·the·target·system</span></li>	89	············<li><span><span·class="tt">S0</span>,·<span>a·<a·title="the·class·of·all·lists·--·{...}"·href="../../Macaulay2Doc/html/___List.html">list</a></span>,·a·list·of·solutions·to·the·target·system</span></li>
90	··········</ul>	90	··········</ul>
91	········</li>	91	········</li>


Offset 21, 15 lines modified		Offset 21, 15 lines modified
21	············value·{},	21	············value·{},
22	··········o·HomVariableGroup·(missing·documentation)·=>·...,·default·value·{},	22	··········o·HomVariableGroup·(missing·documentation)·=>·...,·default·value·{},
23	··········o·M2Precision·(missing·documentation)·=>·...,·default·value·53,	23	··········o·M2Precision·(missing·documentation)·=>·...,·default·value·53,
24	··········o·OutputStyle·(missing·documentation)·=>·...,·default·value	24	··········o·OutputStyle·(missing·documentation)·=>·...,·default·value
25	············"OutPoints",	25	············"OutPoints",
26	··········o·RandomComplex·(missing·documentation)·=>·...,·default·value·{},	26	··········o·RandomComplex·(missing·documentation)·=>·...,·default·value·{},
27	··········o·RandomReal·(missing·documentation)·=>·...,·default·value·{},	27	··········o·RandomReal·(missing·documentation)·=>·...,·default·value·{},
28	··········o·_\x8T_\x8o_\x8p_\x8D_\x8i_\x8r_\x8e_\x8c_\x8t_\x8o_\x8r_\x8y·=>·...,·default·value·"/tmp/M2-3~~8720~~83-0/0",·Option·to	28	··········o·_\x8T_\x8o_\x8p_\x8D_\x8i_\x8r_\x8e_\x8c_\x8t_\x8o_\x8r_\x8y·=>·...,·default·value·"/tmp/M2-3996789-0/0",·Option·to
29	············change·directory·for·file·storage.	29	············change·directory·for·file·storage.
30	··········o·_\x8V_\x8e_\x8r_\x8b_\x8o_\x8s_\x8e·=>·...,·default·value·false,·Option·to·silence·additional	30	··········o·_\x8V_\x8e_\x8r_\x8b_\x8o_\x8s_\x8e·=>·...,·default·value·false,·Option·to·silence·additional
31	············output	31	············output
32	····*·Outputs:	32	····*·Outputs:
33	··········o·S0,·a·_\x8l_\x8i_\x8s_\x8t,·a·list·of·solutions·to·the·target·system	33	··········o·S0,·a·_\x8l_\x8i_\x8s_\x8t,·a·list·of·solutions·to·the·target·system
34	\x8\x8\x8\x8\x8·D\x8De\x8es\x8sc\x8cr\x8ri\x8ip\x8pt\x8ti\x8io\x8on\x8n·\x8\x8\x8\x8\x8	34	\x8\x8\x8\x8\x8·D\x8De\x8es\x8sc\x8cr\x8ri\x8ip\x8pt\x8ti\x8io\x8on\x8n·\x8\x8\x8\x8\x8
35	This·method·calls·Bertini·to·track·a·user-defined·homotopy.·The·user·needs·to	35	This·method·calls·Bertini·to·track·a·user-defined·homotopy.·The·user·needs·to


Offset 79, 15 lines modified		Offset 79, 15 lines modified
79	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"main_data"</span>,·<span></span></span></li>	79	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"main_data"</span>,·<span></span></span></li>
80	············<li><span><span·class="tt">NameSolutionsFile</span>·(missing·documentation)<!--tag:·[bertiniZeroDimSolve,·NameSolutionsFile]-->	80	············<li><span><span·class="tt">NameSolutionsFile</span>·(missing·documentation)<!--tag:·[bertiniZeroDimSolve,·NameSolutionsFile]-->
81	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"raw_solutions"</span>,·<span></span></span></li>	81	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"raw_solutions"</span>,·<span></span></span></li>
82	············<li><span><span·class="tt">OutputStyle</span>·(missing·documentation)<!--tag:·[bertiniZeroDimSolve,·OutputStyle]-->	82	············<li><span><span·class="tt">OutputStyle</span>·(missing·documentation)<!--tag:·[bertiniZeroDimSolve,·OutputStyle]-->
83	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"OutPoints"</span>,·<span></span></span></li>	83	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"OutPoints"</span>,·<span></span></span></li>
84	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomComplex</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>	84	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomComplex</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>
85	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomReal</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>	85	············<li><span><a·title="an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number"·href="___Bertini_spinput_spfile_spdeclarations_co_sprandom_spnumbers.html">RandomReal</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·{}</span>,·<span>an·option·which·designates·symbols/strings/variables·that·will·be·set·to·be·a·random·real·number·or·random·complex·number</span></span></li>
86	············<li><span><a·title="Option·to·change·directory·for·file·storage."·href="___Top__Directory.html">TopDirectory</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"/tmp/M2-3~~8720~~83-0/0"</span>,·<span>Option·to·change·directory·for·file·storage.</span></span></li>	86	············<li><span><a·title="Option·to·change·directory·for·file·storage."·href="___Top__Directory.html">TopDirectory</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·"/tmp/M2-3996789-0/0"</span>,·<span>Option·to·change·directory·for·file·storage.</span></span></li>
87	············<li><span><span·class="tt">UseRegeneration</span>·(missing·documentation)<!--tag:·[bertiniZeroDimSolve,·UseRegeneration]-->	87	············<li><span><span·class="tt">UseRegeneration</span>·(missing·documentation)<!--tag:·[bertiniZeroDimSolve,·UseRegeneration]-->
88	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·-1</span>,·<span></span></span></li>	88	<span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·-1</span>,·<span></span></span></li>
89	············<li><span><a·title="Option·to·silence·additional·output"·href="_bertini__Track__Homotopy_lp..._cm__Verbose_eq_gt..._rp.html">Verbose</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·false</span>,·<span>Option·to·silence·additional·output</span></span></li>	89	············<li><span><a·title="Option·to·silence·additional·output"·href="_bertini__Track__Homotopy_lp..._cm__Verbose_eq_gt..._rp.html">Verbose</a><span·class="tt">·=>·</span><span·class="tt">...</span>,·<span>default·value·false</span>,·<span>Option·to·silence·additional·output</span></span></li>
90	··········</ul>	90	··········</ul>
91	········</li>	91	········</li>
92	········<li>Outputs:··········<ul>	92	········<li>Outputs:··········<ul>
93	············<li><span><span·class="tt">S</span>,·<span>a·<a·title="the·class·of·all·lists·--·{...}"·href="../../Macaulay2Doc/html/___List.html">list</a></span>,·a·list·of·points·that·are·contained·in·the·variety·of·F</span></li>	93	············<li><span><span·class="tt">S</span>,·<span>a·<a·title="the·class·of·all·lists·--·{...}"·href="../../Macaulay2Doc/html/___List.html">list</a></span>,·a·list·of·points·that·are·contained·in·the·variety·of·F</span></li>


Offset 32, 15 lines modified		Offset 32, 15 lines modified
32	············"OutPoints",	32	············"OutPoints",
33	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x·=>·...,·default·value·{},·an·option·which·designates	33	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8C_\x8o_\x8m_\x8p_\x8l_\x8e_\x8x·=>·...,·default·value·{},·an·option·which·designates
34	············symbols/strings/variables·that·will·be·set·to·be·a·random·real	34	············symbols/strings/variables·that·will·be·set·to·be·a·random·real
35	············number·or·random·complex·number	35	············number·or·random·complex·number
36	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8R_\x8e_\x8a_\x8l·=>·...,·default·value·{},·an·option·which·designates	36	··········o·_\x8R_\x8a_\x8n_\x8d_\x8o_\x8m_\x8R_\x8e_\x8a_\x8l·=>·...,·default·value·{},·an·option·which·designates
37	············symbols/strings/variables·that·will·be·set·to·be·a·random·real	37	············symbols/strings/variables·that·will·be·set·to·be·a·random·real
38	············number·or·random·complex·number	38	············number·or·random·complex·number
39	··········o·_\x8T_\x8o_\x8p_\x8D_\x8i_\x8r_\x8e_\x8c_\x8t_\x8o_\x8r_\x8y·=>·...,·default·value·"/tmp/M2-3~~8720~~83-0/0",·Option·to	39	··········o·_\x8T_\x8o_\x8p_\x8D_\x8i_\x8r_\x8e_\x8c_\x8t_\x8o_\x8r_\x8y·=>·...,·default·value·"/tmp/M2-3996789-0/0",·Option·to
40	············change·directory·for·file·storage.	40	············change·directory·for·file·storage.
41	··········o·UseRegeneration·(missing·documentation)·=>·...,·default·value·-1,	41	··········o·UseRegeneration·(missing·documentation)·=>·...,·default·value·-1,
42	··········o·_\x8V_\x8e_\x8r_\x8b_\x8o_\x8s_\x8e·=>·...,·default·value·false,·Option·to·silence·additional	42	··········o·_\x8V_\x8e_\x8r_\x8b_\x8o_\x8s_\x8e·=>·...,·default·value·false,·Option·to·silence·additional
43	············output	43	············output
44	····*·Outputs:	44	····*·Outputs:
45	··········o·S,·a·_\x8l_\x8i_\x8s_\x8t,·a·list·of·points·that·are·contained·in·the·variety·of·F	45	··········o·S,·a·_\x8l_\x8i_\x8s_\x8t,·a·list·of·points·that·are·contained·in·the·variety·of·F
46	\x8\x8\x8\x8\x8·D\x8De\x8es\x8sc\x8cr\x8ri\x8ip\x8pt\x8ti\x8io\x8on\x8n·\x8\x8\x8\x8\x8	46	\x8\x8\x8\x8\x8·D\x8De\x8es\x8sc\x8cr\x8ri\x8ip\x8pt\x8ti\x8io\x8on\x8n·\x8\x8\x8\x8\x8


Offset 76, 15 lines modified		Offset 76, 15 lines modified
76	i8·:·A·=·action(RI,S7)	76	i8·:·A·=·action(RI,S7)

77	o8·=·Complex·with·15·actors	77	o8·=·Complex·with·15·actors

78	o8·:·ActionOnComplex	78	o8·:·ActionOnComplex

79	i9·:·elapsedTime·c·=·character·A	79	i9·:·elapsedTime·c·=·character·A
80	·--·.~~780228~~s·elapsed	80	·--·.592519s·elapsed

81	o9·=·Character·over·R	81	o9·=·Character·over·R
82	······	82	······
83	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·1·1·1·1·\|	83	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·1·1·1·1·\|
84	·····(1,·{2})·=>·\|·0·-1·1·-1·0·0·0·-1·2·0·2·2·2·6·14·\|	84	·····(1,·{2})·=>·\|·0·-1·1·-1·0·0·0·-1·2·0·2·2·2·6·14·\|
85	·····(2,·{3})·=>·\|·0·1·0·0·-1·1·-1·-1·-1·-1·-1·1·-1·5·35·\|	85	·····(2,·{3})·=>·\|·0·1·0·0·-1·1·-1·-1·-1·-1·-1·1·-1·5·35·\|
86	·····(3,·{4})·=>·\|·0·-1·0·0·1·1·1·-1·-1·1·-1·-1·-1·-5·35·\|	86	·····(3,·{4})·=>·\|·0·-1·0·0·1·1·1·-1·-1·1·-1·-1·-1·-5·35·\|


Offset 100, 15 lines modified		Offset 100, 15 lines modified
100	i6·:·A=action(RI,S6)	100	i6·:·A=action(RI,S6)

101	o6·=·Complex·with·11·actors	101	o6·=·Complex·with·11·actors

102	o6·:·ActionOnComplex	102	o6·:·ActionOnComplex

103	i7·:·elapsedTime·c=character·A	103	i7·:·elapsedTime·c=character·A
104	·--·~~1.4~~3~~177~~s·elapsed	104	·--·.613351s·elapsed

105	o7·=·Character·over·R	105	o7·=·Character·over·R
106	······	106	······
107	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·\|	107	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·\|
108	·····(1,·{5})·=>·\|·0·1·0·2·0·1·3·0·2·4·6·\|	108	·····(1,·{5})·=>·\|·0·1·0·2·0·1·3·0·2·4·6·\|
109	·····(1,·{7})·=>·\|·0·0·0·0·0·1·3·0·4·16·60·\|	109	·····(1,·{7})·=>·\|·0·0·0·0·0·1·3·0·4·16·60·\|
110	·····(1,·{9})·=>·\|·0·0·0·0·2·2·2·0·4·8·20·\|	110	·····(1,·{9})·=>·\|·0·0·0·0·2·2·2·0·4·8·20·\|


Offset 187, 27 lines modified		Offset 187, 27 lines modified
187	i19·:·A2·=·action(RI2,G,Sub=>false)	187	i19·:·A2·=·action(RI2,G,Sub=>false)

188	o19·=·Complex·with·6·actors	188	o19·=·Complex·with·6·actors

189	o19·:·ActionOnComplex	189	o19·:·ActionOnComplex

190	i20·:·elapsedTime·a1·=·character·A1	190	i20·:·elapsedTime·a1·=·character·A1
191	·--·~~2.02945~~s·elapsed	191	·--·.885739s·elapsed

192	o20·=·Character·over·R	192	o20·=·Character·over·R
193	·······	193	·······
194	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|	194	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|
195	······(1,·{8})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	195	······(1,·{8})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
196	······(2,·{11})·=>·\|·1·1·1·1·1·1·\|	196	······(2,·{11})·=>·\|·1·1·1·1·1·1·\|
197	······(2,·{13})·=>·\|·1·1·1·1·1·1·\|	197	······(2,·{13})·=>·\|·1·1·1·1·1·1·\|

198	o20·:·Character	198	o20·:·Character

199	i21·:·elapsedTime·a2·=·character·A2	199	i21·:·elapsedTime·a2·=·character·A2
200	·--·61.~~6894~~s·elapsed	200	·--·34.4319s·elapsed

201	o21·=·Character·over·R	201	o21·=·Character·over·R
202	·······	202	·······
203	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|	203	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|
204	······(1,·{16})·=>·\|·6·2·0·0·-1·-1·\|	204	······(1,·{16})·=>·\|·6·2·0·0·-1·-1·\|
205	······(2,·{19})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	205	······(2,·{19})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
206	······(2,·{21})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	206	······(2,·{21})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
Offset 297, 15 lines modified		Offset 297, 15 lines modified
297	i31·:·B·=·action(M,G,Sub=>false)	297	i31·:·B·=·action(M,G,Sub=>false)

298	o31·=·Module·with·6·actors	298	o31·=·Module·with·6·actors

299	o31·:·ActionOnGradedModule	299	o31·:·ActionOnGradedModule

300	i32·:·elapsedTime·b·=·character(B,21)	300	i32·:·elapsedTime·b·=·character(B,21)
301	·--·30.~~5076~~s·elapsed	301	·--·15.1711s·elapsed

302	o32·=·Character·over·R	302	o32·=·Character·over·R
303	·······	303	·······
304	······(0,·{21})·=>·\|·1·1·1·1·1·1·\|	304	······(0,·{21})·=>·\|·1·1·1·1·1·1·\|

305	o32·:·Character	305	o32·:·Character


Offset 162, 15 lines modified		Offset 162, 15 lines modified

162	o8·:·ActionOnComplex</code></pre>	162	o8·:·ActionOnComplex</code></pre>
163	············</td>	163	············</td>
164	··········</tr>	164	··········</tr>
165	··········<tr>	165	··········<tr>
166	············<td>	166	············<td>
167	··············<pre><code·class="language-macaulay2">i9·:·elapsedTime·c·=·character·A	167	··············<pre><code·class="language-macaulay2">i9·:·elapsedTime·c·=·character·A
168	·--·.~~780228~~s·elapsed	168	·--·.592519s·elapsed

169	o9·=·Character·over·R	169	o9·=·Character·over·R
170	······	170	······
171	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·1·1·1·1·\|	171	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·1·1·1·1·\|
172	·····(1,·{2})·=>·\|·0·-1·1·-1·0·0·0·-1·2·0·2·2·2·6·14·\|	172	·····(1,·{2})·=>·\|·0·-1·1·-1·0·0·0·-1·2·0·2·2·2·6·14·\|
173	·····(2,·{3})·=>·\|·0·1·0·0·-1·1·-1·-1·-1·-1·-1·1·-1·5·35·\|	173	·····(2,·{3})·=>·\|·0·1·0·0·-1·1·-1·-1·-1·-1·-1·1·-1·5·35·\|
174	·····(3,·{4})·=>·\|·0·-1·0·0·1·1·1·-1·-1·1·-1·-1·-1·-5·35·\|	174	·····(3,·{4})·=>·\|·0·-1·0·0·1·1·1·-1·-1·1·-1·-1·-1·-5·35·\|


Offset 91, 15 lines modified		Offset 91, 15 lines modified
91	o7·:·List	91	o7·:·List
92	i8·:·A·=·action(RI,S7)	92	i8·:·A·=·action(RI,S7)

93	o8·=·Complex·with·15·actors	93	o8·=·Complex·with·15·actors

94	o8·:·ActionOnComplex	94	o8·:·ActionOnComplex
95	i9·:·elapsedTime·c·=·character·A	95	i9·:·elapsedTime·c·=·character·A
96	·--·.~~780228~~s·elapsed	96	·--·.592519s·elapsed

97	o9·=·Character·over·R	97	o9·=·Character·over·R

98	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·1·1·1·1·\|	98	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·1·1·1·1·\|
99	·····(1,·{2})·=>·\|·0·-1·1·-1·0·0·0·-1·2·0·2·2·2·6·14·\|	99	·····(1,·{2})·=>·\|·0·-1·1·-1·0·0·0·-1·2·0·2·2·2·6·14·\|
100	·····(2,·{3})·=>·\|·0·1·0·0·-1·1·-1·-1·-1·-1·-1·1·-1·5·35·\|	100	·····(2,·{3})·=>·\|·0·1·0·0·-1·1·-1·-1·-1·-1·-1·1·-1·5·35·\|
101	·····(3,·{4})·=>·\|·0·-1·0·0·1·1·1·-1·-1·1·-1·-1·-1·-5·35·\|	101	·····(3,·{4})·=>·\|·0·-1·0·0·1·1·1·-1·-1·1·-1·-1·-1·-5·35·\|


Offset 180, 15 lines modified		Offset 180, 15 lines modified

180	o6·:·ActionOnComplex</code></pre>	180	o6·:·ActionOnComplex</code></pre>
181	············</td>	181	············</td>
182	··········</tr>	182	··········</tr>
183	··········<tr>	183	··········<tr>
184	············<td>	184	············<td>
185	··············<pre><code·class="language-macaulay2">i7·:·elapsedTime·c=character·A	185	··············<pre><code·class="language-macaulay2">i7·:·elapsedTime·c=character·A
186	·--·~~1.4~~3~~177~~s·elapsed	186	·--·.613351s·elapsed

187	o7·=·Character·over·R	187	o7·=·Character·over·R
188	······	188	······
189	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·\|	189	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·\|
190	·····(1,·{5})·=>·\|·0·1·0·2·0·1·3·0·2·4·6·\|	190	·····(1,·{5})·=>·\|·0·1·0·2·0·1·3·0·2·4·6·\|
191	·····(1,·{7})·=>·\|·0·0·0·0·0·1·3·0·4·16·60·\|	191	·····(1,·{7})·=>·\|·0·0·0·0·0·1·3·0·4·16·60·\|
192	·····(1,·{9})·=>·\|·0·0·0·0·2·2·2·0·4·8·20·\|	192	·····(1,·{9})·=>·\|·0·0·0·0·2·2·2·0·4·8·20·\|


Offset 113, 15 lines modified		Offset 113, 15 lines modified
113	o5·:·List	113	o5·:·List
114	i6·:·A=action(RI,S6)	114	i6·:·A=action(RI,S6)

115	o6·=·Complex·with·11·actors	115	o6·=·Complex·with·11·actors

116	o6·:·ActionOnComplex	116	o6·:·ActionOnComplex
117	i7·:·elapsedTime·c=character·A	117	i7·:·elapsedTime·c=character·A
118	·--·~~1.4~~3~~177~~s·elapsed	118	·--·.613351s·elapsed

119	o7·=·Character·over·R	119	o7·=·Character·over·R

120	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·\|	120	·····(0,·{0})·=>·\|·1·1·1·1·1·1·1·1·1·1·1·\|
121	·····(1,·{5})·=>·\|·0·1·0·2·0·1·3·0·2·4·6·\|	121	·····(1,·{5})·=>·\|·0·1·0·2·0·1·3·0·2·4·6·\|
122	·····(1,·{7})·=>·\|·0·0·0·0·0·1·3·0·4·16·60·\|	122	·····(1,·{7})·=>·\|·0·0·0·0·0·1·3·0·4·16·60·\|
123	·····(1,·{9})·=>·\|·0·0·0·0·2·2·2·0·4·8·20·\|	123	·····(1,·{9})·=>·\|·0·0·0·0·2·2·2·0·4·8·20·\|


Offset 310, 30 lines modified		Offset 310, 30 lines modified

310	o19·:·ActionOnComplex</code></pre>	310	o19·:·ActionOnComplex</code></pre>
311	············</td>	311	············</td>
312	··········</tr>	312	··········</tr>
313	··········<tr>	313	··········<tr>
314	············<td>	314	············<td>
315	··············<pre><code·class="language-macaulay2">i20·:·elapsedTime·a1·=·character·A1	315	··············<pre><code·class="language-macaulay2">i20·:·elapsedTime·a1·=·character·A1
316	·--·~~2.02945~~s·elapsed	316	·--·.885739s·elapsed

317	o20·=·Character·over·R	317	o20·=·Character·over·R
318	·······	318	·······
319	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|	319	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|
320	······(1,·{8})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	320	······(1,·{8})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
321	······(2,·{11})·=>·\|·1·1·1·1·1·1·\|	321	······(2,·{11})·=>·\|·1·1·1·1·1·1·\|
322	······(2,·{13})·=>·\|·1·1·1·1·1·1·\|	322	······(2,·{13})·=>·\|·1·1·1·1·1·1·\|

323	o20·:·Character</code></pre>	323	o20·:·Character</code></pre>
324	············</td>	324	············</td>
325	··········</tr>	325	··········</tr>
326	··········<tr>	326	··········<tr>
327	············<td>	327	············<td>
328	··············<pre><code·class="language-macaulay2">i21·:·elapsedTime·a2·=·character·A2	328	··············<pre><code·class="language-macaulay2">i21·:·elapsedTime·a2·=·character·A2
329	·--·61.~~6894~~s·elapsed	329	·--·34.4319s·elapsed

330	o21·=·Character·over·R	330	o21·=·Character·over·R
331	·······	331	·······
332	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|	332	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|
333	······(1,·{16})·=>·\|·6·2·0·0·-1·-1·\|	333	······(1,·{16})·=>·\|·6·2·0·0·-1·-1·\|
334	······(2,·{19})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	334	······(2,·{19})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
335	······(2,·{21})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	335	······(2,·{21})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
Offset 467, 15 lines modified		Offset 467, 15 lines modified

467	o31·:·ActionOnGradedModule</code></pre>	467	o31·:·ActionOnGradedModule</code></pre>
468	············</td>	468	············</td>
469	··········</tr>	469	··········</tr>
470	··········<tr>	470	··········<tr>
471	············<td>	471	············<td>
472	··············<pre><code·class="language-macaulay2">i32·:·elapsedTime·b·=·character(B,21)	472	··············<pre><code·class="language-macaulay2">i32·:·elapsedTime·b·=·character(B,21)
473	·--·30.~~5076~~s·elapsed	473	·--·15.1711s·elapsed

474	o32·=·Character·over·R	474	o32·=·Character·over·R
475	·······	475	·······
476	······(0,·{21})·=>·\|·1·1·1·1·1·1·\|	476	······(0,·{21})·=>·\|·1·1·1·1·1·1·\|

477	o32·:·Character</code></pre>	477	o32·:·Character</code></pre>
478	············</td>	478	············</td>


Offset 192, 26 lines modified		Offset 192, 26 lines modified
192	o18·:·ActionOnComplex	192	o18·:·ActionOnComplex
193	i19·:·A2·=·action(RI2,G,Sub=>false)	193	i19·:·A2·=·action(RI2,G,Sub=>false)

194	o19·=·Complex·with·6·actors	194	o19·=·Complex·with·6·actors

195	o19·:·ActionOnComplex	195	o19·:·ActionOnComplex
196	i20·:·elapsedTime·a1·=·character·A1	196	i20·:·elapsedTime·a1·=·character·A1
197	·--·~~2.02945~~s·elapsed	197	·--·.885739s·elapsed

198	o20·=·Character·over·R	198	o20·=·Character·over·R

199	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|	199	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|
200	······(1,·{8})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	200	······(1,·{8})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
201	······(2,·{11})·=>·\|·1·1·1·1·1·1·\|	201	······(2,·{11})·=>·\|·1·1·1·1·1·1·\|
202	······(2,·{13})·=>·\|·1·1·1·1·1·1·\|	202	······(2,·{13})·=>·\|·1·1·1·1·1·1·\|

203	o20·:·Character	203	o20·:·Character
204	i21·:·elapsedTime·a2·=·character·A2	204	i21·:·elapsedTime·a2·=·character·A2
205	·--·61.~~6894~~s·elapsed	205	·--·34.4319s·elapsed

206	o21·=·Character·over·R	206	o21·=·Character·over·R

207	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|	207	······(0,·{0})·=>·\|·1·1·1·1·1·1·\|
208	······(1,·{16})·=>·\|·6·2·0·0·-1·-1·\|	208	······(1,·{16})·=>·\|·6·2·0·0·-1·-1·\|
209	······(2,·{19})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	209	······(2,·{19})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
210	······(2,·{21})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|	210	······(2,·{21})·=>·\|·3·-1·0·1·a4+a2+a·-a4-a2-a-1·\|
Offset 308, 15 lines modified		Offset 308, 15 lines modified
308	i30·:·M·=·Is2·/·I2;	308	i30·:·M·=·Is2·/·I2;
309	i31·:·B·=·action(M,G,Sub=>false)	309	i31·:·B·=·action(M,G,Sub=>false)

310	o31·=·Module·with·6·actors	310	o31·=·Module·with·6·actors

311	o31·:·ActionOnGradedModule	311	o31·:·ActionOnGradedModule
312	i32·:·elapsedTime·b·=·character(B,21)	312	i32·:·elapsedTime·b·=·character(B,21)
313	·--·30.~~5076~~s·elapsed	313	·--·15.1711s·elapsed

314	o32·=·Character·over·R	314	o32·=·Character·over·R

315	······(0,·{21})·=>·\|·1·1·1·1·1·1·\|	315	······(0,·{21})·=>·\|·1·1·1·1·1·1·\|

316	o32·:·Character	316	o32·:·Character
317	i33·:·b/T	317	i33·:·b/T