
*****************************
**** PERK-192 ****
*****************************

n: 112   m: 54   Q: 1021   N: 256   tau: 31   Sec: 192 bits   Public key size: 227   Private key size: 251   Signature size: 14280   




### KEYGEN ###

sk_seed: 796732acba3efdf731bf7c242aeeddf5eba5b131da90e36a

pi: 5b183b2f3f2951621c6f426605581f565f2a4d48301323113809684f0b4e2c161e44221a10550425240d0f4a0c15402667394947522e356b2b3228463e571b214c0701206d6403193a614b1469085412411d6002635e590a0e006e37363d6506335c27435a50346c3c6a315317455d2d

pk_seed: 91618fe99a8f9420497b246f735b27a019078a9d3ca6b2a0

H: 
  651 958 417 101 893 734 857 131 492 208 586 643 370 675 364 389 468 476 935 164 745 411 200 482 593 252 969 000 886 404 685 074 392 622 113 636 881 368 597 685 458 243 748 769 260 056 174 951 421 157 264 695 000 832 975 176 198 626 485 076 201 690 235 392 794 412 145 608 564 594 067 613 093 542 820 125 195 162 586 700 893 672 721 123 456 109 661 435 735 433 025 169 309 299 1009 502 427 040 422 136 184 409 986 215 984 598 702 363 914 045 561 880 
  229 848 503 888 385 395 867 367 527 635 136 231 804 136 564 536 323 444 007 766 591 840 708 867 163 484 081 756 611 397 552 693 292 066 687 211 180 404 905 855 270 288 687 313 790 224 260 239 466 987 876 398 702 394 213 285 691 105 488 704 492 074 1019 453 500 871 064 683 274 216 505 934 776 141 183 843 431 368 249 953 219 627 399 177 424 705 036 166 256 107 525 774 838 692 817 518 727 172 489 204 818 180 538 671 385 317 004 405 525 345 109 899 
  172 080 273 413 577 723 851 252 119 378 003 656 340 338 892 778 599 675 135 1004 544 550 465 302 456 818 478 920 413 602 854 766 166 605 530 057 514 794 254 226 726 586 710 436 631 005 351 442 389 808 794 031 041 796 1006 158 357 296 982 683 381 999 065 430 056 035 202 064 540 488 279 675 579 156 578 873 025 754 104 987 355 009 924 588 158 526 489 335 999 709 593 294 365 078 132 546 1001 268 799 277 793 142 264 560 527 082 893 448 311 777 277 205 
  547 318 505 112 534 157 844 711 922 090 590 842 080 596 601 936 952 323 762 857 731 615 041 756 040 417 519 119 1000 794 467 481 909 847 1007 899 819 036 438 168 1001 000 571 852 502 216 494 033 468 231 101 775 048 984 048 683 095 415 691 494 862 898 315 662 336 196 541 777 099 776 510 1003 1008 891 965 409 508 064 467 281 349 089 018 612 673 060 214 664 279 701 898 006 481 225 101 103 815 827 474 695 744 264 242 015 069 093 744 914 985 973 1017 720 
  508 984 345 190 218 697 266 184 531 613 339 341 655 715 808 498 644 131 001 740 130 093 081 454 376 319 257 136 098 379 324 764 887 816 355 395 689 530 361 931 919 265 475 074 290 924 317 211 101 100 311 228 951 918 796 916 671 794 250 426 762 995 649 713 050 240 316 428 133 398 901 302 634 700 735 665 288 909 184 620 646 658 587 671 281 104 902 405 115 533 949 056 365 082 501 413 003 576 269 489 676 590 105 085 196 286 263 088 175 887 938 000 
  857 593 297 204 263 638 803 870 191 515 397 690 083 157 920 333 262 118 699 729 545 749 680 772 1012 931 754 918 890 373 047 153 780 162 766 404 927 619 045 395 055 004 546 103 194 713 348 417 535 521 226 316 855 844 063 898 030 937 828 539 252 517 511 306 061 669 990 722 857 743 232 484 155 943 901 026 932 141 943 712 194 629 923 263 624 314 872 217 800 996 1010 240 787 296 1002 602 546 341 984 682 132 155 943 251 650 873 736 594 674 413 872 175 
  167 365 917 898 404 239 931 569 535 567 242 464 629 746 627 358 021 067 834 550 481 005 998 190 341 057 767 645 780 859 002 383 658 869 946 701 898 259 854 523 117 414 793 853 256 236 841 171 793 555 377 966 949 442 063 929 290 476 438 129 158 834 466 165 993 792 480 124 575 258 995 642 508 800 1016 086 805 428 828 488 176 971 617 909 102 389 140 569 1017 120 855 117 206 807 348 188 322 463 910 820 172 895 664 196 591 440 507 881 525 252 880 891 
  037 579 557 368 731 150 924 399 456 402 004 060 115 102 567 029 535 896 542 123 125 847 400 420 660 723 031 679 1016 598 762 003 363 175 769 681 671 569 802 224 438 385 708 1005 411 659 817 022 352 252 079 650 481 950 165 580 499 474 700 731 377 457 881 270 985 375 169 503 928 702 008 747 787 357 648 612 005 675 299 649 978 894 409 394 675 104 128 936 263 580 267 078 475 632 039 499 523 882 806 547 440 403 785 354 016 1003 251 860 551 252 013 671 
  147 850 773 198 079 334 827 300 927 568 097 011 896 587 894 654 049 668 1007 711 416 460 814 441 568 253 053 500 970 324 565 047 685 883 007 340 848 622 409 727 557 796 754 818 633 691 317 615 677 241 092 349 093 581 460 012 276 335 435 298 795 051 710 876 949 821 883 883 024 553 024 083 007 726 358 336 757 755 524 753 364 123 265 358 522 218 382 724 600 855 681 033 122 943 556 551 572 436 538 229 221 318 400 702 530 055 862 282 631 345 459 546 
  957 007 336 970 910 552 438 878 136 162 366 602 556 627 139 418 336 284 063 767 480 065 671 711 137 851 931 981 309 779 617 421 096 105 742 283 598 744 391 094 100 630 674 144 932 750 076 504 654 465 513 516 344 447 923 257 700 249 023 692 571 740 192 162 569 880 383 371 006 530 1013 862 927 439 536 746 228 919 898 059 347 693 449 811 416 195 963 487 575 039 613 199 176 455 200 937 500 588 132 976 131 536 882 847 1015 843 859 812 313 646 724 701 
  177 130 672 680 259 877 726 290 776 324 234 587 449 551 291 414 430 060 905 376 944 434 598 665 381 410 850 592 101 272 826 696 851 519 633 492 239 642 521 942 084 420 733 930 399 679 418 816 948 741 825 912 339 378 075 334 490 769 594 438 013 416 142 326 363 933 371 216 118 531 589 536 337 739 014 361 887 091 941 597 551 866 016 950 517 053 441 647 680 445 398 370 845 320 451 369 056 203 297 588 290 726 143 532 225 624 042 618 097 894 959 059 
  224 930 760 948 184 433 895 664 619 803 238 465 231 872 300 406 356 256 274 407 712 138 807 191 742 891 181 367 429 799 302 932 588 377 849 471 637 092 442 933 996 377 300 443 652 012 810 959 008 933 039 184 897 979 296 279 444 978 152 309 392 001 564 549 806 650 126 035 161 431 932 887 276 433 328 290 748 463 918 204 437 630 603 460 461 404 453 324 037 928 842 701 760 808 663 961 786 025 568 911 898 625 381 110 857 976 651 078 834 707 844 008 
  842 895 994 893 839 002 556 677 895 520 914 721 148 673 813 272 046 868 042 388 238 266 620 312 184 783 757 373 807 968 054 848 195 823 919 033 549 637 439 063 069 072 595 251 101 853 773 904 421 357 251 172 476 771 158 186 235 422 149 533 471 456 984 460 568 528 464 368 806 216 778 883 435 802 349 321 725 488 711 331 430 514 024 672 673 046 465 741 715 556 587 594 646 407 987 247 974 291 009 921 913 230 888 062 769 496 626 772 147 743 764 666 
  394 1019 213 019 882 068 872 788 299 067 292 648 207 639 1007 633 355 606 862 373 547 340 606 571 005 085 638 059 716 248 326 591 960 151 016 896 776 410 328 953 523 036 049 882 255 668 914 413 960 211 224 708 343 785 830 022 057 210 840 670 287 312 825 071 295 017 892 715 513 275 146 655 007 111 099 885 717 225 246 714 820 716 014 676 378 247 381 530 733 899 711 250 957 573 643 979 721 746 790 998 206 473 222 529 261 364 890 349 361 709 575 952 
  485 502 333 603 142 117 366 517 720 872 543 866 069 295 980 111 873 463 259 991 359 282 914 425 508 916 140 147 007 204 814 294 695 772 693 722 829 418 980 230 231 852 630 389 135 911 560 1006 783 772 055 746 586 309 655 479 649 971 330 260 192 204 276 914 349 781 220 108 932 948 310 661 131 938 228 836 712 044 080 023 406 555 364 193 777 057 925 153 971 613 820 579 547 339 104 795 407 259 088 383 416 908 816 894 171 601 586 605 465 126 614 471 
  710 615 833 538 447 858 409 274 116 049 790 251 573 447 618 894 814 225 936 900 515 108 072 195 829 633 479 008 417 176 278 485 034 477 317 602 273 017 484 290 627 953 658 953 035 146 630 207 846 957 877 612 470 540 809 673 1018 021 752 823 804 039 003 188 432 527 209 435 056 597 424 169 333 380 280 702 126 084 475 454 035 777 140 945 300 468 693 748 176 802 628 652 864 304 069 893 186 858 762 055 505 256 826 100 252 793 184 489 253 686 783 516 
  800 378 271 624 700 797 130 409 989 226 658 466 829 760 954 846 860 218 748 562 343 786 349 958 358 833 122 577 886 226 693 717 728 961 160 882 844 192 034 957 591 443 096 1004 375 827 217 889 872 773 969 155 985 150 726 930 801 552 407 624 393 797 782 922 849 939 922 463 293 472 409 062 572 349 722 478 010 935 015 644 912 737 093 384 457 061 254 481 004 338 068 190 908 861 742 524 845 248 930 807 141 219 274 980 378 467 059 763 327 462 543 030 
  738 024 087 709 926 797 262 699 949 662 090 448 369 507 402 238 838 420 139 099 206 509 390 523 686 067 584 1014 497 229 487 397 597 478 309 195 655 434 043 1006 539 015 054 282 156 225 546 403 945 709 686 677 215 701 329 402 402 160 255 625 140 579 990 567 919 896 193 656 885 657 365 723 667 816 756 833 504 699 435 642 816 636 226 336 344 360 958 125 221 298 894 883 381 990 981 105 504 416 912 107 103 799 817 305 682 195 442 746 131 843 927 349 
  775 920 243 520 337 307 489 207 158 402 072 812 470 521 648 833 173 1017 055 786 675 099 633 121 824 006 653 696 670 542 405 751 457 891 310 057 234 472 948 466 058 320 402 030 237 031 150 362 680 032 308 010 546 117 898 142 788 517 158 026 110 397 981 322 903 465 379 442 176 045 486 730 814 997 047 407 260 664 972 496 488 629 160 824 405 646 376 533 869 948 288 632 571 732 278 944 592 120 661 375 648 668 380 724 957 087 174 675 129 190 471 083 
  668 415 316 654 645 150 558 119 054 992 078 077 059 658 931 961 454 390 682 368 714 779 748 863 425 667 806 947 341 480 432 639 1000 035 183 099 404 452 995 364 900 535 347 468 292 163 819 039 604 563 703 499 373 645 779 396 651 716 273 671 374 804 229 987 101 369 584 222 672 636 092 848 896 397 055 455 800 464 968 677 230 846 776 606 883 092 695 584 452 506 358 816 589 705 357 350 1008 651 018 760 420 285 655 424 592 836 764 241 121 288 354 940 
  372 059 300 551 509 842 610 617 964 918 888 090 038 805 986 683 976 964 639 853 933 596 526 447 573 931 897 663 592 232 219 887 218 832 555 844 460 479 316 219 857 587 214 184 134 582 625 648 329 897 308 077 017 532 023 885 245 602 763 027 001 150 455 044 713 054 044 692 071 403 172 006 317 330 531 842 124 064 704 207 608 531 814 694 176 394 222 083 394 096 1002 420 504 605 790 190 698 857 446 657 135 791 801 586 880 540 933 736 763 595 918 352 
  081 751 656 108 136 013 408 853 303 727 803 412 262 713 887 652 329 449 724 219 401 151 713 684 438 903 038 666 995 893 545 700 179 088 778 938 627 730 257 780 506 568 024 849 104 914 694 433 465 442 800 404 975 502 970 476 565 050 982 348 841 988 691 193 624 390 790 676 551 603 955 072 235 272 012 858 500 444 750 040 322 438 578 500 082 983 401 951 219 392 859 350 566 538 477 653 716 327 792 601 894 600 448 003 720 984 158 335 271 420 340 226 
  095 998 832 665 537 843 475 420 716 067 683 350 622 827 068 681 519 755 375 303 498 721 009 1020 363 188 121 228 734 806 824 528 999 287 345 445 424 784 831 486 294 1013 093 909 281 312 760 885 830 789 603 808 585 194 016 067 049 614 448 046 611 906 502 858 1011 471 182 512 230 975 602 356 964 422 825 1001 261 1018 911 484 018 262 449 087 310 178 210 763 003 784 280 503 587 029 212 034 511 146 850 006 501 764 056 487 149 489 140 667 124 034 701 398 
  645 541 218 121 117 979 526 024 579 345 433 090 296 586 963 566 867 615 278 052 297 690 742 651 938 159 973 378 013 700 743 964 756 760 788 300 298 228 739 256 465 610 124 245 427 382 061 548 923 763 537 456 975 315 601 001 558 361 870 446 130 412 733 976 905 818 227 831 1013 646 168 019 840 697 078 1015 450 261 295 532 290 374 692 044 871 216 925 463 422 579 1000 715 555 385 684 356 903 142 726 875 939 100 412 359 591 861 204 771 261 209 892 839 
  871 025 200 972 806 1000 900 896 778 073 034 577 180 209 473 617 420 506 257 768 093 362 348 023 539 915 337 534 337 351 386 793 148 719 067 428 926 606 217 825 780 987 830 159 898 125 316 058 631 894 326 136 882 956 412 289 509 392 546 355 342 540 151 810 682 062 281 055 640 502 656 131 471 682 305 533 947 567 651 219 751 801 323 001 108 857 593 397 610 736 451 695 988 399 797 442 093 928 907 575 161 454 984 915 591 562 595 629 082 904 659 214 
  764 930 719 075 009 030 317 339 026 478 140 922 432 887 767 545 658 160 978 432 815 195 1004 023 340 317 044 777 052 090 789 844 968 1001 137 232 033 820 855 964 951 015 157 806 649 994 239 268 082 064 986 492 455 771 620 235 401 717 848 232 412 254 544 355 585 007 677 213 329 436 327 504 004 760 824 856 710 313 044 987 428 066 681 504 444 767 079 042 213 678 360 470 914 024 488 335 505 573 060 381 532 279 959 477 182 585 532 699 669 435 284 729 
  1016 1011 292 090 624 519 438 892 491 490 387 1013 914 675 856 538 642 495 430 312 084 796 042 439 572 346 459 244 717 944 1007 934 144 873 499 794 436 1017 281 252 883 776 324 208 254 120 286 958 751 662 252 807 498 696 921 372 874 461 731 548 706 767 765 563 056 488 283 233 290 693 667 116 949 808 773 092 844 742 883 923 1016 967 184 361 128 093 188 452 344 239 016 267 353 536 442 891 593 690 732 623 182 736 535 501 803 251 491 439 575 080 634 614 
  435 544 336 160 411 782 569 418 553 333 491 321 363 331 911 004 160 380 148 138 1013 568 493 468 801 776 746 762 307 783 267 584 504 138 576 454 122 768 844 098 358 149 493 964 555 787 743 249 676 934 699 499 174 626 699 399 216 311 397 994 014 101 541 566 461 121 296 174 457 620 583 839 235 431 425 078 446 361 146 054 408 942 996 153 472 573 708 152 852 871 877 055 798 598 294 163 589 023 718 950 990 251 991 638 687 085 113 761 734 204 742 777 
  579 626 790 488 631 676 184 947 321 535 752 132 658 441 116 885 000 798 036 323 309 356 231 476 634 795 311 244 142 165 523 502 225 423 405 382 350 341 255 421 271 820 811 187 279 193 721 224 482 500 429 544 064 013 989 308 193 713 288 250 273 765 195 321 783 969 164 759 741 129 912 502 605 471 208 173 347 703 127 224 987 526 857 508 037 990 954 015 332 208 534 401 174 834 578 775 381 343 106 260 215 977 899 072 749 839 622 572 936 361 100 477 
  058 768 350 451 472 855 452 116 873 957 984 978 876 721 1013 791 334 775 283 435 631 499 654 115 349 954 561 653 893 410 700 168 360 595 963 639 336 237 106 861 894 552 243 924 280 863 861 660 652 366 984 227 116 880 387 987 276 834 876 735 193 101 785 757 229 295 874 866 988 636 213 770 077 815 378 807 208 047 551 201 808 710 986 940 475 417 986 669 157 800 195 470 615 654 571 217 062 727 147 903 011 609 312 157 994 944 266 745 374 780 375 680 
  115 811 149 582 162 984 236 183 479 189 524 388 377 468 398 800 041 403 438 649 093 339 919 304 226 729 452 017 854 094 321 746 751 363 794 121 419 493 415 787 819 039 895 593 764 378 581 212 365 097 441 686 060 599 163 180 133 125 628 080 185 464 317 086 658 871 171 1006 307 260 513 117 976 909 840 591 840 784 304 555 883 112 263 446 816 922 483 438 108 451 360 772 205 738 460 367 107 939 383 935 776 490 077 827 799 763 073 821 403 321 437 422 
  010 904 009 611 114 835 590 735 101 731 516 804 169 475 813 117 117 934 061 323 880 253 958 721 229 018 326 140 658 798 665 831 899 621 565 514 116 863 541 626 179 513 052 502 589 970 772 597 079 827 303 032 552 964 338 697 939 584 105 978 1012 096 911 062 520 788 465 550 502 687 561 350 319 439 191 797 785 275 865 474 556 255 595 197 798 053 1003 873 990 730 859 211 410 039 329 442 1003 654 778 919 927 400 943 500 806 313 752 439 361 089 691 784 
  274 336 032 452 924 086 954 427 672 421 772 864 728 032 451 915 625 173 278 399 519 160 429 108 591 606 539 084 401 461 081 225 510 152 889 754 752 164 341 655 260 547 039 109 881 746 443 594 080 160 521 343 183 832 817 423 287 234 1000 292 218 549 235 291 815 619 624 568 567 302 066 367 586 976 577 536 568 565 966 994 780 691 927 551 222 408 226 933 061 760 259 245 351 178 617 620 685 796 422 483 272 348 751 166 556 288 101 140 485 222 968 185 
  055 577 723 894 097 553 041 755 717 212 658 962 529 264 619 708 667 913 088 008 512 066 890 272 640 959 454 500 671 032 778 247 892 251 148 041 826 104 494 029 783 113 249 978 256 850 346 433 726 423 002 1013 671 050 017 211 188 999 189 420 832 840 336 884 368 472 998 213 272 203 293 904 590 263 934 855 833 881 657 082 247 416 061 063 558 258 958 182 663 412 170 779 595 332 570 293 740 088 925 414 028 342 588 246 202 968 593 568 1006 995 819 770 
  029 067 376 483 205 215 525 807 347 307 135 611 754 715 631 094 237 178 220 644 995 723 263 228 828 084 049 014 062 427 194 985 342 973 683 661 385 474 517 871 307 767 057 712 015 939 371 738 494 012 814 134 826 147 574 801 687 362 682 699 450 657 086 018 234 394 319 521 502 979 443 334 000 476 287 724 324 890 538 627 629 921 462 329 525 593 948 406 601 485 109 696 512 294 1006 734 166 863 791 830 994 137 137 448 315 308 156 122 813 978 990 949 
  829 061 1003 023 882 620 562 462 467 631 529 170 846 688 551 1008 204 114 581 342 183 220 066 869 767 135 305 444 993 383 874 683 561 079 724 494 480 432 264 390 412 850 303 014 763 560 920 627 538 1003 186 269 703 149 723 681 099 973 948 874 576 493 391 220 577 070 015 081 879 430 280 564 928 986 348 068 593 549 891 416 137 031 786 067 815 969 957 497 780 277 800 1019 150 947 253 460 938 694 316 640 1010 219 864 103 322 200 511 777 125 031 693 593 
  511 299 1005 344 868 539 353 690 521 659 227 250 023 718 978 609 039 363 927 015 139 537 008 717 278 038 044 367 455 097 783 180 996 997 268 430 731 470 099 404 845 434 417 439 941 211 032 575 264 775 051 943 141 821 851 020 088 816 592 969 918 046 239 888 569 945 918 926 815 310 755 929 188 416 807 936 484 389 857 752 168 283 230 160 018 030 324 420 798 854 853 367 339 783 106 486 152 336 824 241 682 970 414 522 086 491 848 447 882 945 997 927 
  766 567 758 913 095 011 973 736 629 649 790 035 375 256 049 752 556 403 190 433 737 863 704 966 390 736 026 570 673 754 242 214 504 473 809 030 124 178 787 792 487 291 219 899 164 332 601 469 308 801 531 142 025 325 869 590 266 295 256 346 428 010 024 063 023 033 663 580 624 459 348 384 205 295 668 1013 029 932 887 697 926 025 587 980 179 158 993 543 442 677 887 116 849 959 698 702 844 276 556 694 908 943 483 627 496 202 248 451 524 566 103 1003 
  680 799 451 141 865 187 693 086 262 786 487 490 730 064 741 007 408 968 556 672 088 180 811 420 174 604 852 646 097 057 054 040 908 860 678 431 656 283 1001 130 593 192 145 724 1019 907 262 077 874 618 870 1003 1001 329 363 634 221 951 363 960 542 1019 337 302 034 330 690 862 277 381 255 061 804 183 727 786 882 162 786 013 063 221 575 473 642 988 653 298 761 517 113 297 622 101 972 439 733 311 695 203 331 003 633 155 305 903 641 991 939 983 890 433 
  542 703 658 730 297 170 304 219 852 645 144 383 808 720 460 337 634 480 018 619 883 255 901 493 228 085 817 567 780 048 428 997 998 446 884 424 595 453 788 082 431 174 035 110 032 825 130 812 008 700 550 439 506 523 686 048 526 472 490 791 810 792 620 239 741 878 981 813 497 592 372 250 368 212 905 886 579 238 735 664 195 680 571 374 944 976 101 366 757 941 205 759 374 936 066 522 401 416 103 296 807 803 934 849 712 082 974 734 809 111 458 152 
  932 1011 854 098 410 373 454 863 368 807 935 254 365 848 273 839 632 1010 076 078 817 159 151 708 650 739 648 058 929 884 540 709 565 422 013 961 542 407 499 687 397 093 121 447 102 801 052 571 666 594 886 273 872 142 423 806 928 228 262 606 889 552 424 958 184 187 635 891 1010 895 733 729 411 332 143 919 910 900 602 102 518 577 393 620 166 630 891 934 258 338 637 848 115 453 513 442 831 003 403 280 563 650 470 309 575 581 546 962 192 379 698 225 
  728 477 006 302 788 563 594 1002 750 781 990 373 175 135 754 521 714 156 475 935 460 947 105 795 231 853 203 533 394 259 323 002 654 636 635 800 690 269 625 331 654 567 747 600 383 207 417 677 174 194 074 235 789 905 188 089 147 268 1008 383 189 345 109 741 1002 301 438 764 751 687 187 022 059 167 738 604 731 439 002 386 412 950 329 1013 783 313 974 606 855 692 548 458 241 074 919 628 793 881 958 793 372 083 012 463 875 822 203 630 117 680 360 323 
  105 510 616 826 730 888 512 070 149 914 647 974 887 714 278 149 840 538 390 985 114 677 389 365 123 511 382 421 221 947 325 143 810 565 439 868 407 087 198 744 881 357 834 231 781 167 875 946 036 688 089 748 412 664 069 504 938 831 512 809 1008 380 207 225 133 863 580 866 029 550 546 1001 302 764 651 246 157 871 076 663 670 315 809 784 442 208 429 356 490 062 705 286 394 399 903 478 585 215 729 703 962 442 554 476 640 895 079 156 708 617 161 131 
  556 993 735 584 582 246 456 115 561 310 143 495 532 434 561 716 563 349 075 303 426 279 848 1013 1011 164 146 755 288 983 606 212 981 622 406 824 976 328 196 219 332 117 229 342 800 762 744 776 992 155 660 900 055 494 825 522 1020 147 056 559 241 046 990 631 501 721 663 249 403 691 836 561 318 764 599 975 612 689 692 747 212 320 112 256 033 962 373 799 923 704 336 318 447 238 631 621 608 912 426 325 004 214 433 292 960 993 337 860 955 747 719 603 
  498 052 728 818 084 656 347 761 874 668 707 516 358 555 862 224 731 443 017 925 888 769 873 286 1007 721 400 411 508 431 662 564 766 565 746 079 883 339 862 722 531 730 861 498 362 530 102 299 977 923 392 702 834 867 017 810 544 129 049 613 729 639 663 614 075 169 304 424 583 626 998 811 741 853 153 057 273 219 395 146 191 908 162 808 366 263 414 710 1004 493 587 596 609 423 234 891 479 928 880 837 478 535 334 837 032 856 435 864 973 884 599 297 
  822 383 188 496 832 562 529 004 755 890 068 304 045 360 258 556 608 1019 262 1015 192 095 858 017 778 364 088 551 036 237 672 101 101 025 725 396 290 050 303 440 787 218 843 761 019 241 371 936 242 408 1001 584 408 427 466 304 437 179 403 761 844 555 083 224 253 415 707 797 836 086 052 473 087 225 608 349 342 585 379 881 187 603 474 292 1015 364 498 617 418 907 674 927 501 502 043 511 249 233 497 119 836 985 157 721 784 762 358 088 623 929 667 531 
  156 993 880 193 867 087 239 584 314 161 857 699 327 022 438 036 660 351 531 271 727 596 485 701 346 039 659 790 486 430 097 170 218 961 777 599 901 532 180 977 293 947 640 271 137 559 702 513 520 070 786 735 362 564 944 999 702 881 233 935 298 285 212 339 220 255 694 741 548 1018 711 586 660 950 461 025 392 436 053 719 262 092 362 756 710 105 353 309 070 217 650 076 411 893 001 493 827 907 323 493 031 325 379 597 409 516 559 690 913 780 390 712 
  980 578 699 306 035 785 825 123 848 014 465 976 186 331 178 372 577 936 792 323 236 341 272 018 230 070 042 853 320 107 133 604 160 367 184 726 982 759 613 1008 503 186 561 137 650 600 463 415 129 406 621 145 731 133 391 140 911 850 442 366 187 500 415 999 386 750 830 570 661 1004 727 300 205 273 804 336 330 025 440 636 479 871 647 315 058 013 997 610 068 725 287 970 530 105 632 612 697 104 239 407 690 176 673 865 555 370 626 788 154 351 890 818 
  762 614 914 252 714 380 242 676 906 455 716 023 768 745 306 909 240 265 460 226 118 279 901 542 166 148 597 1011 650 011 862 817 489 470 805 006 122 426 534 006 970 461 979 193 648 314 268 689 992 250 496 876 259 828 400 707 230 898 886 702 986 238 795 393 869 999 946 385 800 898 410 647 657 774 737 441 577 829 898 546 980 377 368 706 660 687 855 730 934 408 915 425 365 885 036 084 489 226 322 513 565 815 712 208 271 051 795 490 774 394 957 197 
  894 678 921 734 149 125 418 145 917 841 638 275 095 473 808 785 757 059 139 240 871 868 181 124 086 016 058 410 912 973 208 463 590 573 579 591 448 718 587 599 108 538 849 973 573 951 288 168 914 628 486 401 125 158 710 070 1012 599 742 461 222 309 068 523 464 706 606 156 131 387 981 404 180 121 396 458 981 050 335 123 935 247 186 167 373 315 522 900 284 365 272 142 819 215 843 963 368 616 628 931 238 823 880 625 671 681 722 922 098 998 601 612 
  967 473 129 755 244 083 180 459 283 683 845 261 705 013 699 948 267 773 944 955 011 250 050 975 442 073 989 023 165 008 549 030 040 507 646 033 186 270 697 610 341 052 181 1003 904 713 941 033 010 942 335 316 864 040 230 652 409 448 110 861 298 723 717 427 1015 156 966 469 403 895 583 802 393 131 507 076 775 256 949 181 825 076 170 266 1001 720 642 185 122 010 309 828 179 418 084 939 684 846 602 388 400 659 369 966 589 108 226 448 078 599 827 217 
  230 745 1014 745 434 447 403 739 463 046 045 878 995 1012 920 765 917 513 009 902 713 656 813 676 540 440 475 381 551 881 489 945 184 698 871 149 501 109 467 167 336 334 761 268 480 886 724 023 762 846 255 781 849 497 772 537 245 813 206 662 354 634 056 807 626 715 299 057 299 647 541 393 762 021 463 469 948 419 438 028 396 607 291 483 764 396 409 156 956 895 716 192 959 550 377 656 347 264 183 966 059 713 220 323 604 226 128 641 682 957 256 059 
  760 754 232 668 780 263 649 400 413 770 473 487 719 715 866 797 163 665 531 205 250 900 005 078 617 154 609 746 930 964 951 302 549 527 046 269 479 015 927 587 352 339 941 857 438 813 865 571 221 022 807 929 1017 797 815 401 357 411 436 634 526 238 004 540 528 265 961 415 642 539 067 608 928 825 899 072 660 923 387 480 724 882 106 865 037 688 914 876 971 141 733 660 160 833 737 723 121 680 747 490 750 175 902 469 329 335 297 241 265 273 220 657 
  765 045 072 026 613 994 331 674 265 609 252 476 542 434 113 485 671 756 785 188 753 455 684 604 087 700 479 675 560 003 565 584 127 676 267 797 212 155 224 495 834 329 209 983 208 410 063 169 023 374 617 997 522 715 853 448 662 881 113 070 080 549 163 197 418 269 586 107 976 728 825 673 025 922 216 309 237 503 236 175 651 456 384 600 159 812 934 651 978 957 758 911 600 394 391 988 604 239 437 388 155 161 657 505 835 463 234 657 288 830 623 391 


x
 x_1: 018 173 356 112 477 418 474 611 275 540 372 427 272 665 188 638 424 508 847 663 292 779 830 091 637 145 310 846 141 455 107 978 346 813 193 872 787 534 393 308 591 180 292 1019 747 151 361 874 607 847 066 057 700 449 541 269 323 963 174 861 058 237 876 684 604 788 462 179 256 622 041 766 633 421 209 179 330 605 112 935 992 220 089 058 950 265 086 166 411 723 670 559 596 827 208 622 961 203 808 584 907 845 842 033 227 1017 109 955 551 065 733 430 
 x_2: 035 799 006 988 387 185 444 032 339 515 182 533 915 410 680 004 114 094 640 513 877 298 367 767 520 178 815 325 615 948 970 093 654 687 310 479 801 069 067 822 186 627 392 483 647 858 716 922 910 865 583 065 865 1009 623 866 760 548 429 270 246 460 837 007 519 084 921 710 072 857 918 494 750 004 428 728 243 040 117 905 129 419 433 924 488 911 217 680 561 089 117 212 821 252 860 706 952 038 147 829 014 406 837 504 895 758 495 1020 970 572 696 993 
 x_3: 974 902 716 776 1019 744 073 021 220 718 793 090 158 169 469 243 456 418 353 124 236 984 068 748 358 980 090 146 721 441 628 971 991 482 295 309 052 028 706 567 813 535 887 948 679 097 030 261 875 002 445 149 832 555 717 067 266 279 215 558 872 268 082 507 720 538 823 900 669 334 421 676 354 143 552 498 323 648 741 944 199 361 134 300 454 625 095 219 174 591 835 068 903 507 969 839 879 200 060 358 357 198 572 178 585 588 819 868 388 721 1020 685 


y
 y_1: 540 251 809 020 953 327 154 519 842 888 956 116 456 269 182 278 764 332 994 587 967 769 414 1012 349 049 074 661 815 150 312 799 921 500 284 183 757 800 374 741 798 479 901 749 821 719 445 445 407 548 199 358 145 975 
 y_2: 043 546 431 674 604 345 636 434 976 639 656 894 479 271 250 598 593 391 207 424 596 770 884 430 819 224 137 478 930 288 817 342 427 715 678 527 048 910 698 848 492 061 230 377 748 333 713 423 142 463 476 702 202 300 
 y_3: 572 069 883 703 364 234 324 873 716 454 483 972 225 764 890 018 172 056 573 717 345 392 610 851 931 712 496 149 723 814 567 633 777 263 431 079 613 822 324 159 653 402 634 561 850 130 1012 136 512 071 153 904 707 202 


pk: 91618fe99a8f9420497b246f735b27a019078a9d3ca6b2a01cee933205b91fa5c9814ae3cd3b1dc835648b45fc3225fe92c707ec19fd5dc5a044a52f5b82d3c799d3c7d12df5826c57b91e7f5778bb353fdb5b6f9791788c59913cbf8288af89ca65567cca06fd9f90fafddd43fa5819e561cfa046a5c074bb3633388978273a48315bb5dab2a63e0883e3ba42cd5e0fe6e4c56e53c99ee6c873dcf9aa0c4b3c1631f7af6ca94354dacc1a371ef3e1f0abb704ace0d063b3592126e6d4a3230b5f25d3ba7c639e091ff4da1365da4cd4278d4aa6678c520b423f22001e9109e2c32a03

sk: 796732acba3efdf731bf7c242aeeddf5eba5b131da90e36a91618fe99a8f9420497b246f735b27a019078a9d3ca6b2a01cee933205b91fa5c9814ae3cd3b1dc835648b45fc3225fe92c707ec19fd5dc5a044a52f5b82d3c799d3c7d12df5826c57b91e7f5778bb353fdb5b6f9791788c59913cbf8288af89ca65567cca06fd9f90fafddd43fa5819e561cfa046a5c074bb3633388978273a48315bb5dab2a63e0883e3ba42cd5e0fe6e4c56e53c99ee6c873dcf9aa0c4b3c1631f7af6ca94354dacc1a371ef3e1f0abb704ace0d063b3592126e6d4a3230b5f25d3ba7c639e091ff4da1365da4cd4278d4aa6678c520b423f22001e9109e2c32a03



### SIGN ###

message m: 0000000000000000000000000000000000000000000000000000000000000000

mseed: d5fd28493b1e8b4d77ee15f3654f70c64aa65473bdd1199d

salt: bc4ba7d9bdcbdaf82b0bca864d7944faa40e94bf3bc3274d7e68b5035670205d4bfcab25847e71a1f1297480d5c7cd36

 Round 01: 
  theta: d127cad195a7f77372bd1164689210e5e37299b6e8c2f3a6
  cmt_1: 494a933372be6e56e632d987bd018fbfe945be1921a5156bd2f9116f724e7097f536f060cc273c07445a249022a47c13
  v: 91 698 621 306 297 141 940 898 707 1014 515 85 120 199 846 142 4 785 584 39 595 732 725 351 714 186 293 175 44 1017 777 316 556 995 346 258 372 733 292 515 782 0 569 471 776 142 367 668 551 532 706 123 205 747 253 68 152 748 204 140 549 561 401 90 740 497 415 790 454 117 857 932 513 115 806 149 383 471 743 795 85 565 704 545 92 423 143 167 719 218 915 106 262 242 219 193 1010 558 936 679 618 63 760 191 540 647 499 439 771 410 195 935 

 Round 02: 
  theta: c8521119ac4ad8f62e0324a567819550ae22666928871472
  cmt_1: 65f75e5f01bf0d3f7b22db05de31573431e3ea7a92bb149815851bc97a3399e80a401f9fb4f6d1b460d135fe301af13b
  v: 817 314 145 22 688 152 986 371 605 288 24 973 596 99 761 859 934 338 484 193 345 942 372 77 1004 494 777 714 957 382 888 236 85 157 716 340 758 137 478 218 396 644 529 261 146 120 777 884 665 457 610 477 469 743 725 277 340 579 289 312 644 1002 563 953 574 637 480 124 217 928 131 653 321 129 763 661 609 666 484 40 912 462 238 294 614 705 397 398 38 913 456 472 491 916 562 54 965 539 167 969 334 405 204 333 569 829 616 352 959 263 338 795 

 Round 03: 
  theta: 1c0dd3caf8e523149a42c9c659482e843647e08820d6eb02
  cmt_1: 151ebde3cf9f8e72396e085ea94bfbca772ef546877747880752b26219f595869cb19230f5938555592b28b8fda872c4
  v: 440 464 965 412 825 910 539 251 875 22 199 353 992 691 974 204 924 864 251 875 126 619 556 890 933 602 226 683 993 76 611 946 703 19 925 249 135 886 770 15 452 342 911 871 97 100 592 592 607 411 782 503 515 638 32 906 334 732 977 395 401 616 788 1010 515 941 660 937 620 761 537 952 641 179 971 202 559 135 111 3 368 987 405 468 1000 823 1002 434 960 594 385 159 656 999 741 393 44 885 160 500 361 623 682 65 826 822 461 737 605 914 426 114 

 Round 04: 
  theta: f9a180232c487f54d83a3522cc426fbd6ba4296da8eed9b3
  cmt_1: 5c3e09b654150742370c57e29c438a69a653cd6dbbb4971e26c99d200e8f142516ab03aac2473b65024a865126bab646
  v: 490 1005 193 163 440 301 661 872 915 25 738 113 776 520 620 431 804 774 853 383 829 179 788 225 396 605 895 895 196 517 173 833 577 706 742 133 353 456 1012 459 410 164 384 432 415 754 553 419 540 307 20 181 128 982 1007 699 343 385 1012 250 505 642 652 691 300 193 701 214 527 474 133 561 876 70 802 594 132 75 348 236 241 1011 895 568 672 820 272 43 15 801 77 913 443 328 7 621 39 457 895 479 346 589 202 999 664 90 758 907 958 142 382 167 

 Round 05: 
  theta: 80a6c5ff625330a80eb6fdbc3e1e03a5e0073926fede8a11
  cmt_1: 616ade923b0f11e0848c11d0ae825229d876e3d6866d314c88182901be6ef5a206b6ae83420d50f9f3128b0d1e185307
  v: 339 494 143 397 33 336 585 925 706 78 679 507 499 994 794 183 950 258 691 680 561 338 455 202 116 914 761 186 243 291 322 1002 56 421 724 362 791 611 797 22 980 141 387 804 444 670 328 12 439 352 481 902 523 578 859 236 802 118 148 1020 461 888 609 628 236 780 526 423 107 1005 885 75 820 227 754 63 203 136 793 476 690 572 1004 677 123 731 421 716 695 328 216 0 467 444 297 260 647 870 238 137 727 536 615 145 899 959 488 272 737 851 708 810 

 Round 06: 
  theta: b69682ff841800d032b115dd2e3cde860f2ca9b43dad3353
  cmt_1: c55b4f24bb2b494c046142bb10c4dd3712e18c148b921c8c147a7ae9f6e0192352791a58d657a25bd13b0a0ebb257064
  v: 81 843 946 509 127 631 50 30 50 863 154 713 73 617 472 497 110 656 390 502 801 345 935 268 415 630 797 787 957 815 821 359 147 769 855 747 794 544 422 574 205 740 35 701 915 951 50 346 568 395 550 234 195 546 558 222 496 729 456 958 828 28 140 28 893 730 178 393 660 729 87 1002 671 207 790 562 877 369 1010 124 945 954 506 122 195 81 329 538 76 25 618 878 492 388 476 848 672 727 543 643 420 676 355 501 70 635 388 778 495 1017 93 721 

 Round 07: 
  theta: ef0043a6cb83f8313de4cf12d91fc48e14641ce82f38d88c
  cmt_1: 65c7520e15ec78b49290fc75b2af8b764cd24576fc7731377e093985d07996323d91bf5aa29d8eca3d765cee38884263
  v: 252 465 489 153 453 772 631 807 576 155 391 94 715 925 390 762 490 653 74 1019 983 14 657 332 584 186 331 608 551 266 968 820 328 981 623 529 401 666 768 298 742 748 280 501 282 586 791 865 23 812 241 133 507 836 306 798 811 394 89 258 961 561 282 997 380 913 724 508 757 107 108 402 247 20 656 116 555 951 309 655 674 841 606 938 254 6 410 408 370 365 573 1006 304 450 641 132 88 1015 1013 927 373 238 121 308 16 67 201 888 432 983 795 652 

 Round 08: 
  theta: 4c7a0cbdb766171d38276578e4019f99db16a67f4a183375
  cmt_1: 933ebf55e1913171cb0c4794ff0f31846beff936b7b6d89bfef8692cde0909f795a20560a5e6d88d46567b820704a254
  v: 615 241 842 238 869 590 472 597 818 320 53 95 523 234 601 798 511 145 498 729 31 791 554 875 252 18 918 626 193 269 552 459 140 680 305 1018 211 962 146 452 162 639 924 520 595 786 349 596 815 548 456 463 760 804 418 782 787 96 50 568 354 154 907 722 532 935 286 360 875 351 288 285 300 904 137 729 184 213 499 720 111 926 996 437 953 958 510 300 189 116 331 826 505 121 1013 665 179 663 348 653 506 37 541 930 351 966 447 869 248 475 210 988 

 Round 09: 
  theta: e0268baec500c7809116f6fad236fc77eae903fd685b53b1
  cmt_1: 32a878d8b8cc612f478d9be07c3d4ad4d09de707a0208d147f8646d44540b44f04f095be06ad9aaabd41eedce3667672
  v: 348 203 411 367 971 820 326 325 276 264 1013 538 934 534 163 1000 393 533 323 873 902 379 91 562 286 651 82 455 449 573 127 151 558 956 287 337 889 145 72 519 164 657 950 502 96 414 845 658 633 537 396 982 86 724 106 854 24 1011 760 423 546 620 222 203 50 216 998 257 540 110 812 139 1003 375 907 212 304 288 381 981 263 825 613 337 737 753 999 641 58 483 1009 612 67 575 310 724 805 998 853 810 902 478 18 203 393 988 963 292 1013 414 235 39 

 Round 10: 
  theta: e556878e0a02fb216f55732185aaf724f954d004fe5402f9
  cmt_1: 488c4316f12183896099aa5f555d113758eea66dbbb5585af63d6592872355bd028c5595ed2926137a6975587dfa4204
  v: 319 113 808 225 1005 61 309 208 727 768 554 528 348 611 11 18 113 873 690 291 853 750 840 393 1013 762 501 213 530 128 743 302 842 778 582 34 818 4 171 335 920 927 882 550 288 843 452 984 259 377 969 762 815 575 229 810 343 559 886 903 342 663 280 403 659 974 890 454 232 530 460 914 590 207 469 261 339 590 164 513 547 107 434 832 312 972 290 19 554 347 617 144 856 77 728 1007 628 291 417 908 591 459 447 197 459 630 919 369 51 735 373 850 

 Round 11: 
  theta: 31195cad7b07f1955cb9edee6f6623a4499ac1b9374b5cd5
  cmt_1: 4bc80f9c19ad25c73a2da5afce7784c57756981a5ef4f7c5a2561bbf1d1a061f6515cc5b270de4cf6ed031227fe49086
  v: 468 753 525 836 169 340 910 725 511 914 11 415 491 503 493 898 632 12 552 850 211 752 509 721 899 245 764 487 630 809 743 546 129 582 274 372 533 475 43 658 328 108 895 39 985 661 848 206 2 559 515 874 25 865 160 77 424 615 954 165 82 917 700 293 792 851 61 792 36 800 48 563 96 407 569 631 462 907 523 523 363 988 952 423 629 921 517 437 926 91 720 321 847 213 467 668 798 10 681 285 897 264 227 963 154 869 894 229 221 797 229 752 

 Round 12: 
  theta: a998e101ff77c11e92fd70f6d17037e93cff91c2caf9fd6a
  cmt_1: c4ec57c30601b34b72b78691feea4a8cb700b4ec06832862efab017c1ae236372ac1c449918461bc7c72f97b4c9189e5
  v: 523 358 282 505 54 246 789 925 813 385 801 710 559 739 31 862 554 12 889 503 626 515 703 940 721 204 507 170 297 867 906 41 338 586 290 585 596 593 365 244 444 900 916 1019 747 378 769 82 589 374 690 1004 678 8 785 855 752 1 331 373 660 762 384 594 449 54 444 615 449 460 727 732 50 175 840 936 922 236 409 751 552 741 261 544 734 130 65 641 1013 296 1009 458 81 536 788 321 967 896 387 459 658 523 36 652 830 136 54 16 599 725 22 49 

 Round 13: 
  theta: 0e469926fd09ed211b40efa3bb879732efaa75e6ca76a6b0
  cmt_1: 165545012db2a1a77bde810338ea4a196033d670a8bdbf9eb3679d9610fbf03fc53c68a3b58fab24bc0b27c51afbbb95
  v: 987 640 932 301 468 649 64 462 134 81 201 67 267 138 809 676 324 764 433 905 379 721 976 544 608 954 193 791 48 640 60 691 525 184 471 88 874 191 330 966 55 663 383 224 314 327 288 362 312 712 725 375 740 630 984 832 408 400 463 779 1012 406 866 710 284 880 258 798 102 725 688 358 287 314 739 83 575 1010 541 619 831 516 718 208 279 587 352 778 742 74 458 820 603 952 112 864 748 460 373 612 58 114 975 793 118 932 784 913 714 228 136 283 

 Round 14: 
  theta: 7e28878d811dd87c407a78170270dd534e66c47cf08e578e
  cmt_1: e4b32c7967c8684a9f89e489b1f5a6044741629687266bd3d54c68e9d5e263445387a7165203548ec4fe959b4f946751
  v: 289 305 590 874 235 355 299 663 481 786 427 219 112 990 387 392 265 950 719 55 840 737 336 488 119 702 511 186 111 497 604 605 461 171 413 561 488 764 986 272 162 349 963 958 576 86 815 765 335 49 245 683 823 250 808 939 454 978 448 754 663 455 257 540 689 12 875 556 464 594 880 131 388 902 847 742 13 374 326 315 273 771 75 618 346 566 814 463 885 519 463 550 710 736 157 452 819 463 483 89 811 62 394 614 944 859 745 269 900 939 10 535 

 Round 15: 
  theta: 47b9874fe4a9f64ef2709f2856c1df6e31e2a08469669e09
  cmt_1: 577d5aec27cf079dc0c76e3b0481dd5b2bfe8a8b84596683539adb5b1c8437629754152f7868f227fa7deca881696b3e
  v: 606 738 964 580 414 851 197 21 675 458 642 206 289 851 713 279 762 690 86 562 984 199 406 635 951 136 408 966 285 850 198 252 928 167 381 845 577 130 768 319 934 931 203 364 918 744 739 23 841 595 450 905 892 30 163 703 258 985 635 106 580 976 202 516 489 404 476 430 530 974 704 453 541 0 33 8 706 889 393 224 123 29 783 339 851 1010 632 427 55 289 433 906 910 0 252 108 134 100 480 140 852 63 861 862 815 84 504 427 21 100 337 957 

 Round 16: 
  theta: db05014b0a510098dd618ad9f01f1bb79d008da7d66ea531
  cmt_1: 82c0cefa97797d8c7980ae45e7a687182d186ab5c8f58c13e73c65d63188135a1526e0f342dffc3ae9c320f418e3a42a
  v: 253 751 3 3 156 843 734 630 546 287 168 694 965 1015 214 747 524 443 979 537 870 342 380 858 282 692 701 295 751 541 60 986 979 238 723 890 783 972 634 61 400 971 227 685 958 496 98 704 576 464 40 692 288 502 721 369 894 1 786 114 928 840 863 596 684 971 345 128 296 1 720 40 966 842 414 815 268 771 402 461 87 668 874 188 978 692 91 501 244 107 325 660 93 104 490 913 196 318 858 868 32 363 543 914 114 475 659 818 769 449 360 932 

 Round 17: 
  theta: fd38773adb601de682c16cd2ece4237ad7b4f83b873f016b
  cmt_1: dbb32e06fe4682741f04a3df5edb80976d07e64cf24928acdd5c2b13e4bbe72fea06df81ff9fb15ede89e173791d9ed6
  v: 124 559 699 637 107 578 636 738 598 941 558 314 845 951 255 569 653 270 987 728 284 122 713 888 987 73 507 722 339 141 549 684 448 739 729 823 548 549 575 885 658 447 735 155 825 29 310 257 882 491 287 650 580 249 639 700 871 677 380 674 280 379 256 775 916 1020 326 591 266 958 542 637 400 195 725 415 959 746 634 225 517 927 650 786 547 943 933 946 968 236 589 55 282 633 549 342 758 2 901 250 188 808 300 483 433 326 780 343 391 195 329 24 

 Round 18: 
  theta: 5d59b73d3507f348941612d108bab855fb77a38e3b183530
  cmt_1: 84168e8b2d3a67d01f561609f2c2e418f5aa5a54550638a563d4b43604a2a06e9994c7eb31557b5db13209cb0c80f8c0
  v: 427 934 690 779 92 268 433 23 376 939 926 757 390 915 4 946 1016 436 14 460 396 213 63 501 369 423 166 967 292 732 178 809 779 866 487 341 130 978 946 130 695 495 174 17 813 240 174 966 146 328 145 670 990 521 44 280 230 778 490 20 277 384 990 197 474 875 443 484 432 623 316 309 638 859 773 424 111 6 803 635 272 116 282 835 116 378 237 361 164 573 29 659 710 104 684 817 156 117 434 216 226 627 832 725 410 330 611 426 479 1007 970 402 

 Round 19: 
  theta: 37e6cff10367545078531c3c1241314a7f4ef1273343823c
  cmt_1: c6004d3ee544144ff9a360ebbe0c1c946877f519c38b16f27dd97cc0648716d5f54316bcd462fcf7a00a34bb79b7282b
  v: 82 767 353 18 756 872 787 454 715 341 312 167 364 502 621 45 134 915 164 485 998 175 470 318 355 538 852 875 535 798 844 719 696 177 715 976 810 192 975 496 284 427 569 101 902 631 354 280 240 65 953 552 688 330 1009 1011 764 632 829 435 499 716 113 456 999 922 870 595 482 324 752 203 943 327 485 856 782 59 195 100 234 492 334 685 296 515 414 302 933 632 858 530 193 122 333 832 602 971 13 1009 859 850 242 2 572 839 505 235 240 469 502 769 

 Round 20: 
  theta: bdf56f7e4266a362ec2e8386a24755788ed6c9a59b1a2149
  cmt_1: 6facba5ff9a7e6d30c736e9011820d76ae465ec74f97d69e0ac7f8afdf5eea042a25d211f3f05bb9caf1ab7c52d7199c
  v: 886 190 567 102 392 1019 420 910 80 763 642 33 518 226 951 69 660 740 183 351 320 599 780 55 278 1006 363 92 750 131 335 151 208 986 682 465 392 444 442 314 736 387 386 977 493 259 576 1007 106 621 960 938 903 395 357 259 612 22 55 711 60 175 825 239 828 650 407 90 488 762 942 891 518 367 208 727 362 885 399 675 377 552 1 956 955 788 742 992 396 554 97 628 905 584 505 782 442 174 777 337 328 70 659 889 254 308 19 191 581 822 396 696 

 Round 21: 
  theta: ac02f554621f970ed97ff469a904c34865274f99c4b23385
  cmt_1: b4984e939b394e7e1558fbfe0d7a36f7235ae218948a4671b23b8f2acfe4f7ed8ac2727a87d4638b47da19223b73adfa
  v: 865 620 213 138 319 470 267 776 264 212 426 732 851 46 511 997 585 686 98 906 230 901 923 254 910 252 290 976 820 39 594 711 1015 881 230 577 595 503 255 824 241 38 194 314 416 524 855 472 585 369 439 137 993 403 41 441 59 818 496 832 899 559 49 881 840 190 966 341 171 615 870 565 765 773 28 302 570 624 464 674 333 837 705 987 1007 611 231 877 544 326 47 95 698 731 572 79 978 137 867 672 416 1019 93 963 839 244 388 963 933 234 975 329 

 Round 22: 
  theta: c808a227beaa50148be6a33af69fa49749ddf75e6ad17296
  cmt_1: 6270962bbf6b806df7d62fe388481aee01360c6735599d671312afc2b6c43cc7d1b846a9853a339cabd7e570f5aefd9b
  v: 570 6 482 13 600 187 391 473 473 168 791 475 993 13 608 548 237 830 272 965 930 19 29 174 442 570 632 691 348 198 242 69 494 592 433 821 965 835 90 160 945 320 940 500 26 973 62 55 134 708 150 447 909 474 653 783 831 601 920 331 939 441 850 570 913 915 543 618 769 241 140 413 845 590 693 835 784 896 870 353 187 810 751 590 345 722 321 446 521 844 609 132 583 352 968 469 634 689 727 267 541 888 973 231 779 468 504 48 430 933 2 535 

 Round 23: 
  theta: 624ba6d416b1f46d8416b45ecaa3a8abe9bb7e1b72410c44
  cmt_1: 5456981fcfdce02bd625f1e45da2fefbe9b33dd3646494e4b761f42b4687d0542dc71013f15cfed814d560da906a930f
  v: 293 951 176 207 54 762 605 47 877 24 11 837 910 29 860 67 620 193 553 526 629 149 503 791 302 551 153 153 605 669 118 867 569 550 188 426 88 952 496 456 593 347 761 677 407 929 52 628 740 308 878 379 467 98 746 666 818 785 652 486 34 142 651 439 333 85 365 285 11 549 198 821 735 797 300 158 613 157 436 350 1004 859 1005 157 554 712 178 849 141 437 695 47 494 1005 34 86 561 795 113 378 47 367 208 522 951 30 308 126 606 152 1004 688 

 Round 24: 
  theta: 8c1b6ac7c59312804796c9f33430b450d2f2ac7f69b443a3
  cmt_1: 93aec342a641c7e9094339a38ed1ae3ce05048a7919956ead635fe3e480c6494b6e6b28d546746c734f0806b92b261de
  v: 450 427 960 946 301 660 762 114 594 192 445 897 434 975 831 476 637 34 506 843 637 262 106 914 972 801 360 794 304 496 1008 631 115 407 853 991 871 926 196 363 654 527 628 248 301 701 249 801 582 466 319 682 862 592 331 490 354 326 879 827 651 948 997 762 105 639 449 517 758 840 695 662 227 983 349 396 924 885 866 831 708 569 508 419 14 552 908 999 614 504 27 336 654 864 320 8 769 966 527 396 897 494 642 884 803 798 478 602 1010 890 630 695 

 Round 25: 
  theta: 545e8ef594b6b7ff3a95e0e8b82cd61ac93305e6acbf70e3
  cmt_1: 5c5caafe29ec6ddc8dd240162f81362d21e6793d7c42f6a7ac41ba11a647f0e5d219330400443f34bce57f43d677e409
  v: 744 659 393 581 938 802 698 1012 862 906 818 89 832 173 396 187 311 825 164 814 831 708 941 1014 403 135 833 487 853 526 253 478 757 418 313 207 683 598 383 552 808 780 286 832 644 152 78 381 190 545 433 939 897 571 314 393 515 744 388 540 663 999 999 92 491 345 176 44 913 59 618 480 805 37 487 615 579 947 1007 811 534 197 470 581 702 46 985 224 45 548 426 989 257 1017 813 432 689 984 942 917 1019 979 293 657 431 775 803 780 397 963 762 511 

 Round 26: 
  theta: d73258ba497de66c08a79df4ab71044d479252d47cc5c822
  cmt_1: f497d3a9dffd4527199863f0bd1fb95778b73754dc30ec3310c98145e4c3ef67cdf8be34e89408c07dd9bdfc6c40398a
  v: 507 446 148 657 970 528 117 480 685 118 263 8 494 803 579 595 912 111 682 239 551 672 795 194 900 838 844 921 8 862 8 338 698 687 832 451 654 268 623 217 244 496 732 584 241 90 660 372 474 923 681 161 19 61 352 726 488 395 607 644 276 14 1020 230 493 197 111 88 646 721 960 669 869 694 351 374 404 276 5 640 606 434 858 613 569 805 203 725 112 161 614 144 14 383 971 569 615 939 914 1008 75 439 586 916 592 154 459 92 608 256 494 164 

 Round 27: 
  theta: f5beedbb273e2b891b3963bd9eb821c990a11baea0c948d9
  cmt_1: b9ec8cf3a8910f8e4912d5f96eb9f9c384c60f066d16f14f0932df1e6c16e4f15d3ebf6848a1466e67dba6a398ee6fdc
  v: 153 832 421 420 870 912 456 281 344 627 140 182 202 501 337 515 115 491 585 957 408 21 298 734 340 848 381 598 915 968 409 572 448 122 215 936 227 436 925 597 456 437 876 12 486 630 780 506 777 400 595 94 404 115 936 614 920 797 642 994 494 813 667 646 210 839 795 156 778 132 497 3 569 280 445 824 541 909 656 932 621 231 518 973 515 492 532 731 118 195 94 675 981 999 428 803 996 412 837 170 257 563 226 869 496 424 37 116 1014 567 614 830 

 Round 28: 
  theta: 890d6a20916e37eaeabf96af91dfb671711386c605edfec3
  cmt_1: a6d2980c4425ef9bb6d0515744ee01753d5aa5ca4d0785ef8f07fcdeb476f236049ee7c266a4ef5f7125892071e674d4
  v: 612 965 331 984 221 86 741 268 578 532 1010 535 139 976 303 967 469 651 441 64 945 600 595 332 549 353 639 12 925 404 668 266 272 361 435 161 790 555 929 173 4 674 722 764 43 856 643 355 900 655 537 919 501 176 112 373 556 605 672 809 860 856 435 57 74 715 799 216 252 540 157 738 480 120 581 480 851 889 475 880 604 470 818 965 26 315 804 414 71 807 638 94 148 297 996 489 24 963 41 187 633 599 548 766 95 372 269 254 508 762 849 132 

 Round 29: 
  theta: 7e6bb71748bba29ba25de83c828af99ece8f6603fbef130d
  cmt_1: c9699cdb3cd893e01895a8fdefc86e304189f547489f545ff0fd23ee5cd9000e74431492867f1eefc037f0717a82c5d7
  v: 448 520 530 586 952 675 368 295 312 226 493 24 233 637 54 507 560 716 478 302 275 656 1015 374 423 841 844 705 951 549 617 382 639 938 449 161 698 634 748 831 626 453 40 592 39 124 1016 219 331 969 617 596 242 714 834 374 766 291 946 469 197 712 477 936 784 816 371 333 397 637 588 176 465 632 274 415 362 770 333 616 9 371 3 371 835 745 806 481 21 64 719 7 349 906 880 204 560 720 964 24 844 300 518 413 325 930 612 641 827 643 378 458 

 Round 30: 
  theta: 1e3a313f706060178f1ebe088d7b5204342a63a4d0b84c8e
  cmt_1: 0913b2b2049d3218bb97addfa35b44db0bd3f06095e80c6fbc04330f9c4327c11992fae59319439dcb04f26a57264130
  v: 465 808 510 15 426 286 220 834 950 216 22 116 0 54 154 956 614 310 468 843 840 543 498 933 679 777 124 1002 354 952 413 639 1009 286 808 695 939 10 13 989 247 958 956 808 921 380 468 149 18 842 946 951 459 447 143 550 932 234 152 591 810 418 861 652 993 417 62 666 816 39 841 397 117 107 910 283 130 300 193 210 413 997 58 518 787 609 734 844 73 247 72 34 891 558 337 350 18 757 613 554 603 565 552 103 991 690 695 694 75 978 680 965 

 Round 31: 
  theta: 07f1f12ee2e343a66501f9c46cba88f2d616e7f538aecb82
  cmt_1: 1c4a41459e0411730bb46f4c40d99bd562477af4bbedcd4b37dd80eaef1c6dffb02de733077236ece779dd2f8d3c7704
  v: 486 101 845 904 932 273 374 146 108 767 270 985 534 630 377 708 28 762 157 182 704 520 90 484 568 973 404 64 828 72 370 859 254 837 451 216 200 88 367 391 371 831 196 18 228 376 844 415 545 921 738 58 1005 1001 861 579 415 379 626 392 231 276 979 790 529 1010 909 1018 677 211 511 162 387 478 318 261 409 359 20 628 364 237 952 302 842 179 467 125 336 652 111 367 422 675 126 799 902 511 954 375 463 629 538 282 1016 462 46 561 87 969 743 446 

challenges: 

 kappa: 
  kappa_i (round 01): 283 698 474 
  kappa_i (round 02): 118 939 689 
  kappa_i (round 03): 408 1001 494 
  kappa_i (round 04): 1007 079 379 
  kappa_i (round 05): 506 641 732 
  kappa_i (round 06): 371 373 361 
  kappa_i (round 07): 288 817 475 
  kappa_i (round 08): 090 632 050 
  kappa_i (round 09): 746 652 113 
  kappa_i (round 10): 1012 857 635 
  kappa_i (round 11): 303 921 613 
  kappa_i (round 12): 681 977 961 
  kappa_i (round 13): 151 968 008 
  kappa_i (round 14): 096 690 506 
  kappa_i (round 15): 192 855 061 
  kappa_i (round 16): 418 501 034 
  kappa_i (round 17): 110 392 184 
  kappa_i (round 18): 798 105 628 
  kappa_i (round 19): 256 187 960 
  kappa_i (round 20): 920 465 933 
  kappa_i (round 21): 400 718 358 
  kappa_i (round 22): 861 463 070 
  kappa_i (round 23): 300 065 018 
  kappa_i (round 24): 812 492 696 
  kappa_i (round 25): 812 1020 641 
  kappa_i (round 26): 866 710 951 
  kappa_i (round 27): 211 560 820 
  kappa_i (round 28): 168 728 597 
  kappa_i (round 29): 275 077 190 
  kappa_i (round 30): 872 477 480 
  kappa_i (round 31): 578 539 992 

 alpha: 174 68 200 220 94 176 212 88 110 86 234 123 135 199 134 151 84 56 183 254 134 205 29 169 232 210 193 222 41 180 249 

signature: 

 h1: caa29c3b99afb3b6611746ea23223a4eb103fe290c5cba9894fdfb4b4373e58c24a252750da1dd9ccb13e4d0c5b2e04b

 h2: dc2bbfbaff41e5a6314ecd6821c0f5fdbc0e920155bfa19327a782967e9509e146171ca906ecd753ff128c9a8561641c

 responses

  response round 1

   z1: 33 404 729 343 889 100 15 336 829 804 513 228 726 215 79 578 944 66 293 878 810 271 806 991 668 354 218 163 968 302 642 140 176 881 692 811 600 379 839 7 256 56 787 1018 949 137 608 700 715 437 8 589 288 401 425 702 736 541 603 702 424 376 1 16 722 216 121 127 40 479 294 203 455 1011 48 581 380 88 316 109 381 217 351 866 357 732 604 115 603 987 284 1001 814 726 713 34 951 327 929 1016 121 557 146 125 425 276 290 859 445 874 698 403 

   z2_pi: 5027234a1b45164632564c1d202a535c17575e130f0d66045a545f25356a261f3760024752590b330861180a512c4b226b64391200442d41342e4d5b4838671019621a6f2421033f6d362b3d3129692f6e013b30406514633e4268435511493a6c4f15061e0c5d580928070e4e1c053c

   z2_theta
    z2_theta seed # 1: 32457f06f41b99ba0bd8f30c5dbadd1897f131cf5f4a3010
    z2_theta seed # 2: a3f8b7f30280943fcc24363c489e2e66e01e2bdbe1eb8d86
    z2_theta seed # 3: 8af15875b461a37ff70e2b84733c7417ef1490f2bc2c0ac8
    z2_theta seed # 4: 7fd8904e1cb8000e77b6251b6b4a726a3906bef8a7c99a84
    z2_theta seed # 5: 922dfa31c7fd4854e809cb5341aec032893fb69424f46636
    z2_theta seed # 6: 368b9c11f8a74ee76733a44b8361aab1a026635581ec6b56
    z2_theta seed # 7: 430a8736facf7cfe5049c53b8e54fbc4b2a2141345a278d2
    z2_theta seed # 8: 3fda3d30944a10df6ffe790920cb920f19effc3b11e43b34

  cmt_1_alpha: cb5b6be89aa307916c6243234a0320790b014981fe6909737d48ffb9ed9bd337000d957f85f2a9847d8dfe588e1b8921

  response round 2

   z1: 940 236 100 939 15 782 106 705 457 203 360 444 19 140 458 883 338 899 83 958 399 463 88 847 60 1005 864 273 791 914 750 22 936 560 1007 975 495 716 567 1001 796 893 646 225 109 662 550 204 176 567 840 877 17 107 400 213 149 618 519 261 963 642 844 765 8 881 365 717 341 347 917 692 318 904 423 467 410 50 878 290 830 736 107 173 684 625 594 728 377 759 823 528 966 229 230 111 1011 594 3 1008 974 630 761 301 119 96 927 1012 673 721 492 310 

   z2_pi: 116e540a6d09164168051c39420d516622304336011f3c632f2b0e4719576235690b271b6f000450075f124b3815645a603b2565325e03554c260f2c316a37130c3a4928084f29674d144a182a2e10594420405b341d6c58524e3e24330648215346023d3f1e565d451a6b2d5c172361

   z2_theta
    z2_theta seed # 1: 9ba82aa4db5360094a6c2290475abbf9157d8eb782878b67
    z2_theta seed # 2: 4c087a284d35db69278c88d54f9b73122690463dbf762297
    z2_theta seed # 3: 3ffdba97af713efc46f79e348b3e3da6572a7781a9765b86
    z2_theta seed # 4: b624ac5717c4bf163a1ab99718938a583954eaa319a9c70e
    z2_theta seed # 5: 084ab09bb8fb277a43748fc2ccf6176005beff6f0a1d0112
    z2_theta seed # 6: 9a70e2ae41dfc089153dd8645d1e9bf578a67e4a6aea8fef
    z2_theta seed # 7: 5ce765b7377c8a2084473bb1e243d9edbeea2ee37d9f4bc1
    z2_theta seed # 8: 00d7527fd938f752252913f2473f57e17a9dde136ed97702

  cmt_1_alpha: 0749f1bd019510f616b3402d6a80195a5820f495f8f19e922b75703c834c284d2c2c845fcd4ab99a1bc33f77922c42e7

  response round 3

   z1: 969 912 25 257 115 7 137 193 970 876 535 280 162 449 136 972 382 497 88 104 92 586 545 68 536 811 678 1001 895 103 797 635 384 336 60 136 946 225 263 248 636 984 379 730 373 338 705 823 253 91 751 779 398 270 714 248 632 306 294 562 535 459 518 70 808 496 243 668 417 91 296 973 407 926 1009 590 541 413 747 269 567 980 367 171 306 638 843 909 335 370 474 990 185 422 640 419 207 809 982 14 846 40 855 744 50 917 382 700 417 133 213 720 

   z2_pi: 556c66100c43364107504c045435651d0a2a3e03481c230869325b131e3c612218110d6a671b601629266e6f1434633d6d191a6b510e534209000f24382d58395c4a2b5a684f175e253f595d45563b4731053a4d404b28335f2f64462c4e065701621f5230202102152744370b122e49

   z2_theta
    z2_theta seed # 1: 4e33572926f5137cf35d0f75fe430a59cc4584286c1e0b22
    z2_theta seed # 2: ff4e23389495752ef6cf5c7b5b63f17be6e57f8d3281b7a7
    z2_theta seed # 3: 86e61b9d8693ba45303aee04c746eb9f0eb8356c7ce52b88
    z2_theta seed # 4: e07178e14b8ce3d785d329100e73f8d7d391e136b2e64847
    z2_theta seed # 5: e883d7d7170a77c04d079bedbab8d40461f3dbacc356ac24
    z2_theta seed # 6: 36cf0f76a07f49ecc160fcde350d3eb1d505aea67f1741c9
    z2_theta seed # 7: 70d3b0b87f9a4b40968b755358073363bd13b2662f2ad4a4
    z2_theta seed # 8: 7085f8bd96f8a1779c1f3f46f9c51daf3548c4691a6b86d5

  cmt_1_alpha: 670054d95dd80c178980d3e1b367aea4fd547cbb6a9f1196b46ef23df9011710662492b453e84f702e871101cb551c58

  response round 4

   z1: 12 928 182 505 932 726 248 1015 435 244 1001 269 249 277 876 910 734 661 473 707 1 515 204 618 842 958 768 33 554 819 265 213 215 692 31 99 617 607 841 374 160 840 159 417 294 966 878 864 760 934 810 879 764 370 441 581 180 14 591 411 745 590 111 471 150 426 625 107 162 677 830 724 869 5 292 44 580 667 610 867 71 603 558 777 249 47 630 946 803 114 57 34 782 288 304 349 53 497 806 368 795 865 0 447 514 553 127 707 945 554 648 185 

   z2_pi: 470239094d410442536240205a082b38013f10162e6a3d342c0e174e0c3607464c183b513e0f6124686d690b321449155e3130050a226e4f29235013445f64063a6b54251c675c1a55033348003537632f1f1e583c1b5b436f655657455d592712112d4a522a286c4b60661d0d192126

   z2_theta
    z2_theta seed # 1: 3d6cd318eb9807945eac858277ecd936634d1b0ca811f628
    z2_theta seed # 2: 500ce336f5d881466c638a1398135974ad3553a1ac4ad096
    z2_theta seed # 3: 3a08e44048a910c6b84866e3e3fe1a7bbd3215108ae0a752
    z2_theta seed # 4: e67f242d001372449220d2bef9fa376ba0c61e6b8912cd94
    z2_theta seed # 5: 5926134fce89fbac3aa8d05669bda0b12bdfe1a45392d9b8
    z2_theta seed # 6: ee16ed4959ccdc87bf1abe4a813d04620cca9eb6f1142be8
    z2_theta seed # 7: 730b918b6f064106714b2bd5f9820418e85d1d76bd666767
    z2_theta seed # 8: 3d673c2fe59034c6843f64c7c2358b352353c10c2bf5da5f

  cmt_1_alpha: 844d24e56251204cb9f70b773a52e0df284a6f09ff703fee2be7abe5cf1a51448b5cb656573f2f65b08ea1b0948f8039

  response round 5

   z1: 580 526 406 25 709 558 302 627 570 387 405 1014 754 309 910 521 428 229 182 92 111 392 180 28 88 600 1 222 538 207 379 688 64 190 642 406 68 131 675 107 479 345 968 154 208 834 260 544 906 921 724 448 312 190 228 773 990 664 43 426 610 439 753 760 160 1011 489 196 265 686 738 113 314 255 97 552 949 94 538 559 215 492 407 724 726 72 503 308 1006 827 806 782 75 885 382 793 297 82 371 727 974 1002 727 4 980 937 917 525 464 763 200 472 

   z2_pi: 1b1755185e071d294b092463660e470a6435116d464013360d683a6a042641373d23201a525f2a67574542322c4d153f4e00545360032e2b513e2d501c3c4838162f345d08210c596b100244586f4a306c494c2514695b5c61196e013912433365281e054f56620b310f061f223b275a

   z2_theta
    z2_theta seed # 1: a51dba72e2fa992fd4da58f0d3ddb2fa7a9f591df718d1a3
    z2_theta seed # 2: a0eb81d134e5ad00f70cd505783f1f56017faef50aca1250
    z2_theta seed # 3: be16df446fc2c5aedf01d27190239018135e52ee78c8896d
    z2_theta seed # 4: 89b43731b71ee4a4f7186d85a85e3511fa1d4b01068b1f9d
    z2_theta seed # 5: e2eb7ebaaa7258e4989f5e138ad5cbd14cea0b4a3a338b0c
    z2_theta seed # 6: d624218a5da24a63358170a2dd7664883687a9893172acd5
    z2_theta seed # 7: f0e660bc30ce7fbba6df05e7b4ce859ae314af72428e1d45
    z2_theta seed # 8: 7f5dd5f76b596604dcb638ba31206ea1b13a9888be5dccd8

  cmt_1_alpha: 2920f549105224904ced78a7aeea899e1241b5c4b2c035e1e321c83953bf7b10eb8f8eb1b3def5e0e9fecb3d0c142ee2

  response round 6

   z1: 23 424 213 584 511 495 832 606 628 116 985 67 767 723 315 201 772 227 623 275 353 401 434 715 537 159 760 268 420 783 344 585 85 939 819 707 1012 828 364 569 808 435 714 284 660 881 436 642 132 767 177 827 134 916 7 10 985 15 834 686 897 277 774 90 191 159 475 493 49 373 389 672 651 631 28 649 871 843 637 201 851 238 87 367 636 128 19 923 862 655 987 362 657 989 921 935 830 292 314 192 458 716 457 725 610 505 40 655 297 315 303 479 

   z2_pi: 425d624c0f152c284d164a6f220b67102b0c094b3534271432184e55510d1f6d37075f310839525e3b501d1e126a612f441a3f45654154633e030a3623686b2e3066462a2524432657565c5a0058331702533d40043a01294f485b1359646c6921601c6e0e38112d1947201b4905063c

   z2_theta
    z2_theta seed # 1: 08ba978b8e2e61a0f75f5e3b5f318886c31f7b28438b68f4
    z2_theta seed # 2: 19a572fa4d2d8521ef69460e16e9bce3084c2e6d51eeb502
    z2_theta seed # 3: aea013a9af9da12b98a80dc7a9d2030da9947c71eb5d29da
    z2_theta seed # 4: f1e800c3d69dbe576001bea7aff4c08fb3bada604335bb31
    z2_theta seed # 5: 19874528fed200346fb5d2d846f8d868e5b8ce1cb334181e
    z2_theta seed # 6: 01a7595eadef44f3c4ff66e1dd86d30a991ffa8ae8009aca
    z2_theta seed # 7: d6621d4c51a4ef3180510704eb0b58e4ab98bf1278e8fa09
    z2_theta seed # 8: da59e26587061b06bbe06646df899981a2b8d3711e8427fc

  cmt_1_alpha: d0bcf512f2ba4a5fa1b01eaf1912ffc29d85e97ee6fdc0d976ea374ea379511c955fa877faac73761a3d373cdf85db55

  response round 7

   z1: 203 975 113 922 857 262 187 967 675 102 884 631 920 53 219 308 840 356 414 974 770 853 432 968 969 858 778 890 717 406 892 751 871 832 321 586 554 842 71 390 997 998 251 218 277 388 214 743 891 339 576 469 158 26 298 252 585 773 797 277 597 875 794 967 596 416 218 963 633 0 30 476 529 398 735 505 442 647 33 452 74 337 182 96 698 512 779 866 742 137 346 866 153 993 631 0 168 786 255 962 378 954 763 235 787 132 1019 971 215 476 259 208 

   z2_pi: 2745473a3551050e2d1a024f536e1155504c090b1404175e21541529234b3369282456323748580c62064e3f1c394a6a1f20082a0d121816103c6160030a68426f310f2f5a1938265d446b00222b463e4052075b6c134936656d3466571b2e011d43673d1e4d2c5c30596364415f253b

   z2_theta
    z2_theta seed # 1: c8e1acf2262177d51204b165d761c999267b152b4a1bf43e
    z2_theta seed # 2: ff238d934227dfddcd170cd30fe914e39879df681948b925
    z2_theta seed # 3: b642b301e3e33e56af13f73b9ade8e3865c1108c9293ef68
    z2_theta seed # 4: cc745ba50fe5a6e9ff4148e4d2e6d86b8e047b993da9a7af
    z2_theta seed # 5: 1d366499701d466b84b109887ab36ceb7673c1aaef17fb49
    z2_theta seed # 6: 6d6b92ff87793b5dcee7cf4fb766a068956da7f54cece901
    z2_theta seed # 7: 085f493b5459a66fd27719a441ceaca204018cba2cfbb918
    z2_theta seed # 8: 33472830dc639dfde3728ee759e05f5dc78d77639d60a7f6

  cmt_1_alpha: 35091c02d376c03521cf08008dac78de84b67f182002c4a257628d0f30f10594db4cd316beaab6285b6c6d07e3252ae0

  response round 8

   z1: 1012 374 435 186 812 178 308 690 778 80 752 316 470 728 269 20 479 960 355 139 771 467 849 901 158 891 113 709 856 684 548 824 279 659 728 170 8 345 664 380 475 462 506 142 702 451 822 501 638 614 806 23 671 9 956 880 658 529 769 599 441 673 939 403 648 75 369 741 496 702 944 262 872 234 992 42 62 619 485 726 838 998 971 412 383 871 265 820 530 536 969 502 928 963 916 946 967 814 535 166 282 158 900 749 266 785 697 364 961 138 809 64 

   z2_pi: 265431076f306e452f422e50360b14400212383b001c63532b6903411b48680a4b064d3f3a2719046a1543355c5837181625466451226c2a4e445a57566d3217115e5b1f3e475567290c5d051349613d6662082409330e101a1d6b652d0d3c594c34234f5f200f012c60282139521e4a

   z2_theta
    z2_theta seed # 1: e3f593d4c8ac55ee6c77593356d381d01dca9f81fe7cc6c6
    z2_theta seed # 2: e4029076964d2c89d18a5f109bfd2bbefeb3cb88b3cdb06b
    z2_theta seed # 3: edaf245ccb8fc93a5b0db00fbe614ccc337cc2fb24e6505d
    z2_theta seed # 4: ccfdd008f195d65833244db8687804d6fb5bbf4331bcd0a5
    z2_theta seed # 5: f2fee46f246723e366166f0d3b81e7dee75d6b4de408c03b
    z2_theta seed # 6: 547c0fe8e231837513f9b63004540fee59d6b2088a73aabb
    z2_theta seed # 7: cb7067f1a68097b2403873075bffe5739847b34717d3a785
    z2_theta seed # 8: 24db49e9037ccdc33fed7cba8a53d206bb419b92e3cc50c5

  cmt_1_alpha: 2b60ee7e0b2fabc5933d8b8b6a2f317f9d012427e978dd64f9a9310710cf4d3e30c1c856d0a72361f1febd145d1c04ce

  response round 9

   z1: 520 765 595 703 410 530 778 605 928 191 754 167 965 55 272 793 522 578 235 1016 485 445 525 632 37 480 566 825 840 772 13 154 717 307 917 713 23 632 661 349 538 317 99 830 491 827 855 200 567 673 329 807 778 260 467 821 629 147 790 801 935 474 359 35 387 296 732 937 487 969 1004 608 75 17 910 96 236 429 148 979 267 645 109 291 845 22 754 677 278 422 18 982 259 307 541 665 952 1 464 803 553 730 584 357 114 183 764 247 321 158 538 860 

   z2_pi: 4c483966514a5501414d10295021323b5e60270d3a626936260024304358153753096b2822630c2e0e332a1e3e54572c033d5c44166f68232b424b06056d0b471359381f4e041b6a45611a115635675f142f4f5b2025025d0f1d403c08072d171946650a34523f495a181c6c646e3112

   z2_theta
    z2_theta seed # 1: c0e9899e938574878ee3b67bd4681fbcc7ea9fa5b64ced58
    z2_theta seed # 2: 020e9613f4663ddf1f5f91a915175185b61af53734d1fad9
    z2_theta seed # 3: 1f95b0efc219ae98b5271058c152c60ea143565d64ef431d
    z2_theta seed # 4: d593913b08ad18612c3d8b953c5133eee0831cb04ec4d403
    z2_theta seed # 5: 756abd7a97a6f65fbcdd93bea3f447b3c708c8f3c3513e82
    z2_theta seed # 6: 10cd261655e49e50349474205aad983cb35f5d33f82313db
    z2_theta seed # 7: fce8df58d44613f812a0625f7e032f3e9e0c6087f7cacece
    z2_theta seed # 8: d9e65bdafa1a906e533cca21e97d3f734c15dfe7ac1b4725

  cmt_1_alpha: 28fe3ddb450563a9e7fec68ee893e9502b1cd0a3e5dbc139339bd0996ab66f2262226fa075d5ff5eb57cd9d3d4f2a876

  response round 10

   z1: 216 178 840 502 932 426 51 332 318 24 138 572 644 239 219 148 787 585 109 564 3 131 442 750 100 405 299 214 443 331 421 98 374 993 877 537 906 454 939 379 830 936 166 176 313 528 199 830 713 598 137 531 78 134 154 155 465 1018 997 982 62 184 413 505 15 235 479 67 555 382 198 314 615 393 250 247 914 549 180 207 760 888 867 1005 173 456 418 171 381 557 87 698 240 937 457 582 121 531 849 49 29 834 673 262 813 965 365 460 864 1017 415 994 

   z2_pi: 116b5f373f504a6c602b0f46130933396f1e451d2a25240858100a34280c1a3a486d4e310705353b6a1b4b671916686236386403666e4359142206304454174265321861563c1f490b233d695b472f5127572c4f5520410d5d122d4d015e4c53405226290e0004633e155c02211c2e5a

   z2_theta
    z2_theta seed # 1: db5191620dbb4f93670e043df3eda5b67d8445184dad2e6b
    z2_theta seed # 2: 5ea894e35a14fe4a48886bac5db89d94d3a6c73c26c9edc4
    z2_theta seed # 3: dd3ca5c2781678437b7c18fbf5cd3f9c53e8b1c2b049a0a1
    z2_theta seed # 4: ad9d37df853ff9119fde474c57be42278a6a7ddd98add009
    z2_theta seed # 5: 79e43fcbbfd659a4b98e74aaee1097e8744899dd7c21ea2a
    z2_theta seed # 6: 0ed11f9bc1ce98e72efc706f83b5adbc417017dd44f01da9
    z2_theta seed # 7: 5e077b6c05fa51c70b73cf81f125cb6c5ac8b4b83b70bdf4
    z2_theta seed # 8: c49be3467c1bde77138968040296170a721deffd1f1f5688

  cmt_1_alpha: 54332b224f3b997e8e825509fbf53bff55fdeeda518b119f68c4c17ea06bb956154d5134be6fe91f23eee22cb4af1055

  response round 11

   z1: 642 90 940 534 394 927 167 80 253 461 140 72 969 978 583 866 676 831 104 838 631 346 917 1012 970 110 531 475 763 557 779 30 470 758 974 142 560 593 867 338 116 146 199 853 2 744 77 403 996 654 120 751 112 791 757 373 108 365 553 535 166 83 793 556 582 325 428 731 524 458 144 414 967 815 318 556 923 332 177 278 962 409 346 320 894 673 422 599 810 144 661 543 598 301 301 884 985 59 229 33 621 795 76 50 841 382 629 408 284 552 524 520 

   z2_pi: 3328212d550d5d466a0b2e651b601e541f143c0c573b624419394504234341323f2b4247245017312c384e6f644a02510729255b0e1a4d1c5f346e222f3a4f5a272a676c6b484c5e614b5c5840375663100a1636356811156626120818056d5913093e1d5230010600530f69033d2049

   z2_theta
    z2_theta seed # 1: ee3cec5b10290d313c22903125447b7fb78c0e005a23a1da
    z2_theta seed # 2: 9a4fa1846a55d258b695db4e889930cbddcf35cc8735d295
    z2_theta seed # 3: 21dce4626298227847a66a5fa75e571a57ca1787a1bd0acc
    z2_theta seed # 4: 4875393337d136ef9a49690703890c93ac507df69f565830
    z2_theta seed # 5: 52f6d68d381f627f6f90d2534375deb019080176413ac9e7
    z2_theta seed # 6: ef3b447fab5286bae06b47dc980f98daba350df948b7a654
    z2_theta seed # 7: 61d60552af6850a457da54bd778cff31553272d47bf38c30
    z2_theta seed # 8: 64662e21141cc8a481fb6a8ed8fc88d93691a17f736a45f2

  cmt_1_alpha: c7539446ebb6d9ea2494ee0f24e91f0d11e3103a5306b357fb98113cdf1178e8fca9d50aaad70feab296f0431b217273

  response round 12

   z1: 1013 407 949 204 121 984 587 699 981 476 472 93 734 620 869 548 74 987 423 391 81 800 471 51 913 891 919 4 638 174 632 893 243 245 840 472 10 266 832 243 742 286 528 827 829 1012 224 683 1013 400 865 81 62 916 298 832 660 627 130 242 947 579 66 500 785 1009 956 653 582 305 598 127 609 129 310 685 841 637 932 393 417 848 681 67 64 602 174 330 639 800 297 931 622 399 402 841 959 995 174 392 981 553 926 617 315 385 390 361 54 555 833 927 

   z2_pi: 082e45005c33660f02213d64542b4e410c5e044b535f6b6928425b58624439671c103c59204d3050490623173a2756406d111d602951133b34313e151968073f4a01475537264603522c221b123265611f2418381a485d0b2a5a6e636a4c1e6f2d6c053657350a0d4f430e251609142f

   z2_theta
    z2_theta seed # 1: b18252f745bdd8b76d365868d5180123a44811ecc942a341
    z2_theta seed # 2: 8bd8fd4dacec9e6745c8cab0f78669119a698c13759062ed
    z2_theta seed # 3: 638529992bc26d70564641d10c3a3cb8b3abbf8933ffb494
    z2_theta seed # 4: 62e1ef9e74f5430a688ec821e4ed403aeb222f8e3b1e07bf
    z2_theta seed # 5: 8a7a807075a80b672e9760967dd3ceaee3c265b64f64c1b8
    z2_theta seed # 6: 30fa6b55dcad7d55ee5b363525b3cb6460eea923a93463e1
    z2_theta seed # 7: 68b009119ef20ad3ab50a2c8bda30cb8bf478c64de72cf05
    z2_theta seed # 8: d9fa841b82baa2a81ab893da6aa6032721773237037cc944

  cmt_1_alpha: a1b786990b4b641e8f5c5a82668b162a8b6c6a647bed5548b3b2ed990aec5637b0aa74ef8e0ad82d5bb38df7aea9ee0d

  response round 13

   z1: 964 238 992 898 427 246 924 544 168 280 785 796 821 50 202 246 142 876 146 955 640 824 338 73 420 790 959 528 254 185 352 75 602 783 195 442 649 677 89 636 1014 786 629 594 308 325 893 350 191 1000 52 398 741 150 754 99 135 115 584 648 194 756 821 748 884 445 638 318 284 765 529 582 397 213 57 673 746 899 632 399 492 455 812 390 408 188 757 556 72 782 385 780 89 614 159 859 196 719 202 538 473 740 944 364 351 926 863 184 711 0 759 334 

   z2_pi: 6a2e10165f6d6c3d48516f35340e595a5031253c471f2c182a4b2236011d0f565c1b2f0c04582000462752613814190b266840230a4c444e5d57074d39292b153749621a0917630654323a1c1224033f5e334353664a05696b452d084f286e11643b65301e3e02604167550d135b2142

   z2_theta
    z2_theta seed # 1: 04ca6e2937100e55c0caa3bbe39b0e525e3b8a67c7ccd090
    z2_theta seed # 2: 318d028446737b5d09af771dc418ced4fa3fed5ac29514e0
    z2_theta seed # 3: ea424730b56136761beb8183d9700ba9d1fd51249391d10e
    z2_theta seed # 4: 407f299c8dafb60aba667921bf1bd346519dcbac863180f6
    z2_theta seed # 5: 9787d979c9303c275997972e89b4cb3ff012f5e414f591fa
    z2_theta seed # 6: e1b81d2508ccf1d0e377dbaea51995074b963923493665e0
    z2_theta seed # 7: 2c3b63a155cdc30cf8c34a27f603e4d5003d182d64bde95e
    z2_theta seed # 8: c8cff391e9b937891349f105763d6b2fe831abae658fd072

  cmt_1_alpha: 2ca6a21748ec96ea19e80f49ecd8c8578b29f7460ef5a24237d64f441caa3aa50e0c6e09d3fa4c861534f56c2f890176

  response round 14

   z1: 699 882 350 136 745 37 47 958 526 360 696 816 941 499 494 275 839 263 312 893 850 739 712 1002 140 362 255 19 824 475 555 177 537 24 873 289 210 186 746 720 692 537 222 1010 868 817 90 995 990 517 873 341 995 567 569 636 165 571 78 340 247 942 1014 132 327 273 325 829 399 521 107 887 318 244 473 31 482 497 724 23 583 561 618 866 17 263 997 384 355 471 84 465 459 453 273 234 627 492 783 922 955 297 284 729 482 767 385 546 951 208 135 843 

   z2_pi: 0a0b3b2953505a64115f363412210220176323510f57392b5b003f5e5d455443315c330d56616938092714262a4201220e4a1c6530080452351e556c48166d4459242d1a0c4d6a6b1d2f153a4f131f47400768602e4b3d666f414967321b46376e256210580318192c3e064e3c05284c

   z2_theta
    z2_theta seed # 1: 821b1fa2d89a42eda6adae91c782266cb5877bb89dd134f9
    z2_theta seed # 2: 73ced93788a12b3c18c07247ecac0dbe486ece94b365f003
    z2_theta seed # 3: 463ecc60d254ee1da033ce0eca01055d508b1b29bb500e79
    z2_theta seed # 4: 901edf41083acc098a1e99f7c01c68f3ca68fbaccdbf84aa
    z2_theta seed # 5: 6ee0294bee7e57feba85a0ea1ef75f9a80fa8ef2ba7462b6
    z2_theta seed # 6: d68ddf1d6716cecdb926b25907e258c14ecfb9aaaa4b5578
    z2_theta seed # 7: 47c68fad963393431fdcf9b686d9dbf732551db60a78f39d
    z2_theta seed # 8: e132887a403d3a1de1e0f06f0890c3a12e9c8fb2cd2e632c

  cmt_1_alpha: e87ce941be2e10afcd4d790e1b4655a4af1b106efd5b24c408958bf285b7a9e399218edb35c0bef701d3cc598c48a55b

  response round 15

   z1: 553 335 768 438 514 486 410 218 375 428 778 998 226 520 466 86 212 61 737 804 603 273 922 907 368 390 875 372 414 715 17 500 487 837 754 665 1020 473 888 830 787 452 219 816 563 383 920 796 777 430 27 103 611 752 168 263 367 461 803 646 6 292 985 0 364 214 334 405 347 555 192 293 739 947 220 857 23 699 103 895 653 381 823 965 892 146 213 203 5 329 394 909 251 884 922 74 692 287 702 351 354 347 799 557 939 634 531 84 51 815 966 474 

   z2_pi: 610c0f31352f442d3b0e3d23622413250027481715115255405b286864561c1401393c1e3e434542124f47166d3a202608326f375922184650492b6c044b1b5e6b5c661a384d0219092e6e1f513406050b580d631d5f540a415d6a103369294a3f654c4e2c5357673621072a5a300360

   z2_theta
    z2_theta seed # 1: 0c8c3b557b36f632a6f8a5cb1b491d8e69cf534bcdffa6b4
    z2_theta seed # 2: 0f0748dd1a71b6f6d3d9f73f4f3eb5864f05431bc7a4b56f
    z2_theta seed # 3: c7679849fedeb9354b4e1f2f0443d1ee5a3bebff40b9ac35
    z2_theta seed # 4: 7023a13b6e0a53c421850413feb48ea7bc59bf99d3b0c711
    z2_theta seed # 5: b375f180fff705a0ca8937a900900d0a3d17a3daf7e8ac4b
    z2_theta seed # 6: 3028ec1df8ba03a6b26fef81c2d6b2a4e585118dd140c8ec
    z2_theta seed # 7: a0aa250d3ed07bbb1d2aeeef952c4ce5605cf0a8d59d45d4
    z2_theta seed # 8: 142e16bb176a70909035be3d49ecff3b63fa52232f7e4cd6

  cmt_1_alpha: f925a7924ddce2040dfb197ea2ae3ed1c39a3add1f0b6b3bf1bd8509fff8de3f55b3c08d6e47323524ed250828249a3b

  response round 16

   z1: 121 964 568 107 774 799 289 887 138 906 498 569 510 878 898 1004 615 22 679 515 831 837 239 886 630 1004 131 941 583 578 393 573 372 534 136 777 866 615 476 334 437 372 676 298 729 77 732 789 1014 899 817 833 829 722 26 474 515 558 565 728 863 382 350 627 374 568 657 68 1016 789 918 446 31 81 179 766 531 507 167 437 767 184 52 951 752 364 1016 328 603 311 208 29 277 738 804 721 432 762 996 567 861 924 151 1000 457 567 465 455 1020 288 756 82 

   z2_pi: 5a17206260273b66565c4a1c5f3208352f34330a1351111b00433e683623476a4e264d41376304571614455e3c3940253f6906536b4461646f551e3d30186c4249102c28090b225b0c1d1f0e076d01035d05651a2e50670215124b0d19464c3a21312d5424482b292a6e5838590f524f

   z2_theta
    z2_theta seed # 1: a31c4ead1af24189407bdfe76fef1e3c0dbfcfde8fdd1eaa
    z2_theta seed # 2: d9539d35e67590764d40d14a1ab13c36f19413aa5aa217e1
    z2_theta seed # 3: 7eaa790a0f719216a65552388513e74639a4a7061e82b0d7
    z2_theta seed # 4: df58387f3e2fea3ad8308ffbd900f3a01058ac30fe78e981
    z2_theta seed # 5: 3e65caac2d19d5c6aa67553934971b02a7cec2481d5b2a65
    z2_theta seed # 6: eb27ea30a6c2a913384b2472f50fe7d3ceb3780ae08b101a
    z2_theta seed # 7: aa5352c97f84d06948c49fd5cb091902f4ef59584c0c3279
    z2_theta seed # 8: 607d6b8cf3bd339527bbe47f2df7bc483e65557b6bbf0ba7

  cmt_1_alpha: 9dd8b1846538dc5042b96e3b1573f747e8d846c6595eeddcd86eb23222bca0043682c6415bc8e3be2a4f890aa86f7459

  response round 17

   z1: 54 937 698 909 695 693 586 242 947 354 449 880 71 895 639 893 749 63 766 127 999 249 659 190 521 262 467 389 793 257 444 893 107 48 929 850 814 547 298 751 744 972 955 702 1000 5 577 881 445 465 870 330 53 504 429 932 987 129 102 27 198 501 876 528 660 414 647 394 975 224 255 486 307 843 771 288 842 966 951 67 419 232 448 338 411 1020 417 868 418 745 818 638 924 400 991 56 486 1005 157 879 296 208 532 579 826 84 366 1010 905 863 864 399 

   z2_pi: 4d6b171b5d61361f06092c006f0f4b68034f401a6007200a27476c56235c4c053b085749675954466a69193a5a143e5b4510582a5f4a124e53653239242129552635510b0e0d382e501662421d0237522231281e251864444804633311132b3d5e1c34012d154330663f0c416e3c2f6d

   z2_theta
    z2_theta seed # 1: 1be6bd105cea872fc7d1a7445d4ccb0bb9c9fc8a13674ddc
    z2_theta seed # 2: 804409f70d0ff295c536826ed6751870896097a3a348ff7b
    z2_theta seed # 3: 940aa544a58d555e37750f71eb19a35b25b06b93bca35aff
    z2_theta seed # 4: 799535b2a9feb801c4d6dec46782024fbf664483a2880a7c
    z2_theta seed # 5: aca7bddfdfb0d2387f9454cea08d6c706890e8ae164a570a
    z2_theta seed # 6: a7f7c5d522b94affc1772f75d654ce80ee05f2aec7eefdfb
    z2_theta seed # 7: 77b06b2a4bc19a02469027112cdeb0b9942e1ea8b5c70d4c
    z2_theta seed # 8: 9b62ac4108fa6ddc27185da2837f69ef7e3057fd3105e66b

  cmt_1_alpha: 9122301e531b97642fccf5321246bf6e2aab9702b97402de9802a87e1842bd37f68f491d39242252cbbe47bccfa37800

  response round 18

   z1: 696 1003 882 18 40 876 985 808 546 454 339 420 900 486 250 399 108 505 897 119 862 90 94 664 692 158 667 929 783 904 94 516 854 349 622 943 454 916 874 904 923 472 905 677 918 238 711 634 572 575 728 741 607 731 420 218 142 114 917 797 146 828 1015 462 559 415 74 426 217 907 392 653 254 361 1010 428 196 280 540 710 475 627 295 713 606 103 280 102 575 240 402 292 343 135 898 543 209 744 250 657 45 455 255 895 271 77 685 637 476 491 254 224 

   z2_pi: 181f5f66561042650e136c38034e6f5d51581b686e1a295e5a54530a163a22624935632028552a1e3c1d262b3148442f2c34411c0c5b503f022d4f17076d693759143b6a434524194b2e47210939004d23672540150d122733610b573205646b3e3036113d525c04084a01464c060f60

   z2_theta
    z2_theta seed # 1: 4af6d2c3ff101254048fd9859d869eacd974039444cd0069
    z2_theta seed # 2: 60f97d86d47e300462d2861bf9b6a56b0614de4a15e53a0a
    z2_theta seed # 3: 9109c75bad0145c74cc5af16673d30d2c89f385095fb2341
    z2_theta seed # 4: a239d8d8fd1f38321cb86982a24fd68a009bed5583bf47b7
    z2_theta seed # 5: d8dccbe1b8562f9989656f27195e48a9af69546d68a7df87
    z2_theta seed # 6: c366226e0ba6e5e45095e815dcfad965169c0a890991a6cb
    z2_theta seed # 7: fbb03ee165289b40e51e5832bd19fa5136e03479d89bba3d
    z2_theta seed # 8: 92da33fd42df82a19ed18d882676d1c958ca00200eb22dc4

  cmt_1_alpha: 33931b95e6cf051661b07ebd375c5e0d32807cd96ebd34152cf69a45777ed1dcea3ee12e6e5e35bd50b92c59a0055b47

  response round 19

   z1: 177 677 564 578 29 696 811 128 630 121 581 615 741 910 796 497 312 42 711 602 732 750 463 825 629 95 503 406 269 1010 531 424 46 220 637 632 473 38 357 144 162 711 888 547 540 784 198 181 520 909 601 141 674 191 234 635 848 863 752 154 698 845 636 878 534 845 334 204 771 1015 856 20 114 369 951 355 172 500 366 524 905 691 229 247 765 408 502 998 482 99 575 923 778 674 263 939 150 767 659 756 389 478 610 782 334 948 529 683 575 1007 380 651 

   z2_pi: 67233f0c1f6d114b643614090b32225f0d1c131d062f5630265c0a0f316a4d296210272e37473d036e043a6815612b1954523b694c0e501a1235413e5a6f3c4a1b0544174f186665452a6b464020423855255d283453635860482c5157080701001e0221333959165b5e43244e6c2d49

   z2_theta
    z2_theta seed # 1: 563cba57eceafc660cdf7451299dd29bbec76fe559efc09d
    z2_theta seed # 2: 02682f19feb68cced435fcc40607aa3c7b2b0cd5eabd0862
    z2_theta seed # 3: 2ca74d2da6782ff97aade45561e6295d41fa1d7740838aae
    z2_theta seed # 4: 0be73784e89a8de38abb0635ee5eb8373d8b9c87087189f2
    z2_theta seed # 5: 908060d5042f08c64b0621ac47e0a36ae717ebd9cb5649b4
    z2_theta seed # 6: 42cd2320d0ca127cb2edf2898042f9439d6c1b1da995992e
    z2_theta seed # 7: 880500f2e4081c249551e2b3bb787aa9917d7fe845eccab7
    z2_theta seed # 8: 49136ba3355368594611096ee0d8785cb9f8070a538a06fd

  cmt_1_alpha: 697651ffaffa561287aa981bc26edd0296575deebc7d25cc2838d0a5da9ea88ed86e7b038cf89a5b12736b3030f1dd54

  response round 20

   z1: 449 207 499 320 800 613 276 524 257 350 81 362 471 110 398 264 262 944 837 10 651 212 605 156 613 858 407 722 165 725 704 548 274 262 19 335 351 311 953 447 778 500 381 483 928 272 29 864 941 936 808 629 488 83 567 645 946 625 478 137 219 834 339 429 784 502 529 783 794 622 416 100 969 751 933 550 35 37 30 768 111 101 1014 241 818 674 261 821 563 312 580 105 812 290 351 211 83 482 379 896 139 830 129 390 4 996 57 463 143 609 666 823 

   z2_pi: 59602e0215230728306a691e2d6e5d0f3d1f6550033f35563c5b6d4a63341d66252f0c174457315c430a5562381400452213580e493b332c4b09084f6c126b326406533a4d050d510b61262b40672716181a1b396f4c2a2419295a1c414e0136544210485e685f460447213e20523711

   z2_theta
    z2_theta seed # 1: 22a463441cff3e91d4a4fdf80980bbb6649e6706bd4c5917
    z2_theta seed # 2: 6187b75bab3b655429dedb3fbed8b3f05ab80d3065efa77b
    z2_theta seed # 3: 817f2329d4dc4fff1225b63d8ad97dfd45b7714fdf955cc7
    z2_theta seed # 4: f475752f293a1670d319e33532c1ce623867aaceda0e8bd7
    z2_theta seed # 5: f51c962f8a5be95ffc1f551346ba1595c4f752be2c85196d
    z2_theta seed # 6: 7b94edd609427e4bda6d8da3c838ea90b4bb13384b8c4ebd
    z2_theta seed # 7: 19bb5744f5dd6a828cbb0fbec9405964c6b192041863765a
    z2_theta seed # 8: f88a6e6c63ee63842b58cb76e83a93931ab9ead95e9deca4

  cmt_1_alpha: a110aa1ca4ff64cda1ed8ee5fbf346669dcd043823601c6150393f1af74c712e1b582b560632755aa90e13369d289283

  response round 21

   z1: 418 563 687 690 544 189 999 515 816 787 929 837 567 870 460 689 250 124 296 35 636 749 558 608 57 655 565 344 359 162 82 258 519 73 704 883 607 184 484 466 836 870 391 797 926 113 408 392 790 865 107 115 545 540 282 668 283 925 734 426 222 958 516 526 144 874 576 528 237 535 3 365 765 924 364 698 299 28 218 982 624 794 1009 107 56 763 158 448 107 40 714 150 882 827 385 654 410 219 169 127 463 88 726 459 332 681 722 156 846 343 456 503 

   z2_pi: 6d3e564f315a22551b5e0120444618135d2a215167102557395348384b45630d1d260b52190a664912066c40153c27175c5430044a605b08233b16003a33652c68434d1f0e3d64354c340f2f3f1e6f42596e501c366a092d0232611a2e116b24290514694e280c413758625f032b4707

   z2_theta
    z2_theta seed # 1: bd719c99d1897eebfac4342b1e0ccd99cc4c0c7c7f905eeb
    z2_theta seed # 2: 07fabbda272d4d007d6a7e5e5d50e62b61e15b49360d4c6e
    z2_theta seed # 3: a1f329b1a1bdda6ab3e04d316019fae4d58d2bd646a8d7a8
    z2_theta seed # 4: 46d1e2c933e5dc424ccf0b299f4cac8cdf23863e10d1a94f
    z2_theta seed # 5: 18c26ac5d5fd21bc119542999cc6d3039092f1612763a36d
    z2_theta seed # 6: 1d192d5b92b52661d733ed2097ce3862afa40571b27bd7e7
    z2_theta seed # 7: 56a29ffb9501a519795ea8933b8e656646e7f495664aea52
    z2_theta seed # 8: 1aad8c7ec9a38df24a3f9ddee9ef39bb814340affffb5bfe

  cmt_1_alpha: 07aca2010afad9244e4abbaf611b4e1d4a3ee76944fe04c3b4645719579fa2f4b98f1bb1bf583cc0d5c33cf53e9e85e4

  response round 22

   z1: 855 264 258 1002 110 959 181 636 79 734 941 845 558 347 697 77 23 461 545 76 19 841 577 869 193 172 202 868 119 430 928 943 974 687 781 350 843 510 900 796 417 650 337 112 523 835 675 952 643 839 885 805 623 34 567 713 636 44 589 516 63 116 369 850 233 284 215 983 312 927 88 606 666 856 311 323 552 622 783 243 231 418 136 392 539 628 338 822 648 413 142 147 984 374 390 72 552 31 532 4 460 434 975 178 279 501 854 546 77 544 234 286 

   z2_pi: 60004b6d22175e4333252311511f4165340a45486f531637425f69441b15546752054e464f401d2e4c033f282c266c5818380d0f0849610b63576a2a093e303a1c56550e4a593d682b643c4d5b2f021a205a5c35073b31365d5029660601196e242d0c141213271e100439326b472162

   z2_theta
    z2_theta seed # 1: ffc376ef4cb1de978a5b5e3f9f0afae0546c4bef226bdb9b
    z2_theta seed # 2: 723976bd928894e78aaaf35c59b82b9c6528e8b2b95a1717
    z2_theta seed # 3: cab0a07e4cd62d8b76ddb0709f2a21c63751069a12de3ae8
    z2_theta seed # 4: 3f9fe20576d950729e3af6419380a9f59e1eaaccbd6ef716
    z2_theta seed # 5: c743c8e0fde02dbea754599421d3db8f83706a1138f93bf3
    z2_theta seed # 6: ffd6a85107bd50b014f1ef620fc7a92d2dcd0c6e2c037724
    z2_theta seed # 7: b00d8cf2075382a109d51d331f9015caf9f73a8ed0c516a8
    z2_theta seed # 8: 9b141e488c3a0fbd26130aeee5181acf107b076e1d6675e4

  cmt_1_alpha: 2325fb90dde28810d5ffd1d30c200070996430a674aa510b564ac3c759790a7ca3d60cf498836111f84802b5b629d66c

  response round 23

   z1: 305 322 865 630 675 922 878 5 595 233 718 158 851 565 441 630 1003 638 418 800 685 177 438 123 253 244 336 64 419 443 351 81 664 976 551 87 915 991 642 814 17 784 776 648 289 771 465 180 159 123 748 238 167 692 787 702 412 929 68 193 607 528 754 948 899 473 531 114 568 623 253 665 587 412 996 1001 739 856 468 450 277 734 738 49 749 978 18 478 218 918 315 435 455 599 463 481 309 290 978 958 473 690 111 166 732 184 426 327 173 690 528 461 

   z2_pi: 5524180d1d2738524e020a5e6a28166f2d2b504b19693e0e63213609664c5b332a076c20646b4358462c4f0f3f222e6e3051351e455f564d3a050c06625c0b1f57485d310825036d004a1b01046829403b65323c3d491c6159231714371a13422f3911674726446015341054415a5312

   z2_theta
    z2_theta seed # 1: 0716dd91c1b29cf4f8634ded797a3733e200195fe67d37d2
    z2_theta seed # 2: c2463157760b21b232c352e50c4ab34da09c30cbeda571a6
    z2_theta seed # 3: 4afb49c88fd2e3eccd36c3f28b7d0cf1cd1efceca47cc0f2
    z2_theta seed # 4: 2b0d0c9ccc1eafc7ff1be12f97c2f8c4bbc2f420d579959e
    z2_theta seed # 5: 1c30ef926672bf4a012af08011d3c9f7e1b650252bcf9b85
    z2_theta seed # 6: aa7ec918c6545e66e6a3da60124770e1aa27e452450209ce
    z2_theta seed # 7: 7fe9d1cf265da0a17d696d6cb5fb4d628ff21f4bfcd39885
    z2_theta seed # 8: 789ded9de894b8cd3b254652b67f446b4b1be9da78c0e7ba

  cmt_1_alpha: fa3e729c5de758f5698af7dcdc70776e5c2c4b4f65fac4c502eb1ca0b74cc0316bfa26bf5650f7b397db00a61547d5e8

  response round 24

   z1: 141 1001 805 392 141 342 153 997 485 366 0 534 527 574 798 875 787 892 773 434 646 748 289 755 718 688 80 867 279 932 539 702 167 753 309 510 226 608 461 87 1006 345 828 306 165 992 57 222 120 140 244 221 918 998 985 566 761 373 596 614 394 55 768 744 975 214 812 712 88 214 738 15 246 229 487 666 840 465 640 351 85 676 831 397 242 467 853 952 781 847 851 516 113 702 683 585 955 458 590 266 400 1018 705 240 687 134 131 458 453 52 267 896 

   z2_pi: 2e5508304c511a3745100f425c2c0c075a5000320b144b063c3f4115294901121e2a3d67176a25561946613b6c1634360d02276b381128336d43536f4e3e1b4a40604d205d5e0a2f666e313a47035869231c654f442b54241d57395b520e2d622259180921056426481f5f0468633513

   z2_theta
    z2_theta seed # 1: 2df518dc53ade399ede9d4d4d312338f425db42d15bca0c8
    z2_theta seed # 2: dc04c844d39f66a683f4bf4b86cdd9df6cd229b368c5cbad
    z2_theta seed # 3: 3ec18c1829e9c6425db203c9cb5247f6d5bd81a58b537b38
    z2_theta seed # 4: f37b4e51bfe1c64f58010d0cd8f89b5d2f46ee889db33be9
    z2_theta seed # 5: 9541e0636bc80d4007cccd492969a91cf2fb6d537106ffdf
    z2_theta seed # 6: ce575e62c0754546c1d58dad9f33970e96f8b20ba1a25d44
    z2_theta seed # 7: 1ee19d262ae43dd8b9b77620c1fea5fda4c765ec282124e0
    z2_theta seed # 8: e8477e28f54858ec7fe56b4cfdf52324c3b2f453e76eec7c

  cmt_1_alpha: 76ccdc76930111a01581ba2dbb198fc827b7927e9f729caf17399a01124b79a374afbc1b53e153fc3bac75b4dbf7e3c9

  response round 25

   z1: 271 32 551 544 475 975 886 46 940 518 805 12 380 490 428 420 174 477 725 606 219 884 429 976 739 902 230 265 430 689 727 357 1014 1015 984 72 313 1001 572 294 330 16 972 25 292 270 925 188 8 272 660 605 807 496 825 765 896 248 879 439 1003 230 386 504 1003 644 237 810 249 901 390 143 809 319 18 216 123 430 467 900 940 284 483 133 891 539 936 504 217 432 233 959 724 130 775 466 143 923 744 314 282 298 892 765 883 99 149 1015 552 3 551 117 

   z2_pi: 6b38472f073b6c413e255566103a39352a674017494a4346646937151652566a184d32131c1d4e2e6d2d216f231f5f62040d092263120b0e2c05331a515a204b270206531434362630571e2b3c0a4f3d004831011903420f603f5b591b290c45285d4c68240861581165505e5c54446e

   z2_theta
    z2_theta seed # 1: 7fe933e99ba1603fe07f0211e5d032548dfc8de0c26a2278
    z2_theta seed # 2: a3862c53c47820b63b5838c41364276cbfb546978d170f2c
    z2_theta seed # 3: 227195bada36f9bdafbb3ef48913ed303d6def0b8cc7f0a5
    z2_theta seed # 4: df9046395159f9716a2dc61c2f038d3bd144e8d278d492cc
    z2_theta seed # 5: b46f98c541efae46c1726b3cf768650d60e71148340fce99
    z2_theta seed # 6: 858255c25c4f478bf8bff2937026767128fbac36641c911c
    z2_theta seed # 7: 0105fd28ba41a9d44fce643693615e1ca7338dde2dbac569
    z2_theta seed # 8: 5043442b32c431aeb467abdeda7d94266b9219a339d376bc

  cmt_1_alpha: 8c620fe92fd521bca18c8e98181bcc9a6be7cbccbaefec10211075ce68239f94fc7707af3f9a6c4fdd18677633c18ea8

  response round 26

   z1: 778 213 347 803 287 548 760 936 970 190 99 825 385 723 242 116 78 600 351 961 941 849 348 79 626 330 305 574 810 282 763 774 634 729 872 1012 899 972 19 702 819 134 825 784 189 234 164 11 957 890 940 273 910 767 195 232 226 88 984 261 495 486 990 337 839 70 735 684 651 146 172 773 647 183 33 342 970 621 652 590 684 683 424 589 682 532 828 532 233 849 387 605 355 580 514 229 619 710 633 147 827 494 1 858 1009 20 721 710 319 201 986 113 

   z2_pi: 4f2e5b5713265e4b535f20224a633a441c5a232a18143b34430d3056250f090a38100c3929326d11551e01476b6a403e46244150650817056c1b2d3552426645694c616251021f49674d481903150b3d00374e605406312b1a59332816126e042c366f685d1d073c3f585c2f2164270e

   z2_theta
    z2_theta seed # 1: 5bfebc3557a36f49b8caee3ae2b382f559064182cf787234
    z2_theta seed # 2: 21a9f44b15f7327690095d632ab140224f0e528625baf5cc
    z2_theta seed # 3: d25226f2806e35f74529c58ee7304ad88c0e396b73e60685
    z2_theta seed # 4: 87e3bacabcb09d4f905a5a7de549aab14603abd301add8b9
    z2_theta seed # 5: 6cb99ffd4f5f9350071a9053b6b1865fa9db0a1b89f89a60
    z2_theta seed # 6: 67887e31e1398479adef4a6eec92667a53793ddf4abe862f
    z2_theta seed # 7: 36946de0f937187370a80002b6fdbe5d30198b448f74e7c1
    z2_theta seed # 8: 00707e362f4f8196b803b6d4ba3bd4efbad47431986754e4

  cmt_1_alpha: 0d6b3b3359a79c303123805f072066e88a51e0c7e961577fad36c0a83fc1ee2009f18bc9524a82cfaadbb5081d1b7f3f

  response round 27

   z1: 596 123 733 389 306 647 57 669 872 211 909 95 1002 306 755 26 281 727 352 913 981 746 28 543 271 573 824 910 630 869 488 486 498 953 442 857 661 329 590 651 346 373 567 822 247 331 611 323 920 788 603 840 750 618 95 134 728 263 81 659 634 123 1003 538 1 431 799 398 256 360 666 532 803 48 91 620 190 728 246 490 330 439 665 451 0 652 559 390 137 157 44 965 542 989 852 95 750 538 642 415 739 633 191 360 640 631 321 406 480 141 391 924 

   z2_pi: 075953654e2a612b034b2e010a3c1202514f5d6634365b333a602f054527200b063d58505631116d08221d19162455625f1a681e480949446c4c136e4d0f6a42103b6926001841350d0c6b1c47154a1b1754573740385243396404282d3f6325212923325c3e14301f5e5a462c670e6f

   z2_theta
    z2_theta seed # 1: 52c1fb74bc157e434a7e6c1869b356cedf1012f65d4fe742
    z2_theta seed # 2: bb416414072483d3f2805b456e0989813037023f4adf02e7
    z2_theta seed # 3: d41d4a9b45cc2e28b919df9844b522969f2157d2da194bb4
    z2_theta seed # 4: 35b57d959363cfdfaed0b3f8516e109a599a28391aaf851e
    z2_theta seed # 5: b7089e6d9e21936a7438879c6d6ca443ac9930dd3548f08d
    z2_theta seed # 6: 3f1cab98bb1eb50d71686f752c57ab5bef5849d55b6da6d1
    z2_theta seed # 7: 68319d981c3aa46b429a889c72440a0d08f0686b49c580be
    z2_theta seed # 8: fa31ed85ffb3037f05bef6d10c7febeb7b88fd34f8a1de46

  cmt_1_alpha: a5611639ac4aab46dd25e68fd560f99666b3333177c9540248e66ba7e20c3e2e984f6aabef3cc194c20ba6826f24cb65

  response round 28

   z1: 697 937 208 862 69 454 608 10 819 405 418 154 814 94 678 371 797 853 227 36 739 434 31 823 872 406 880 22 765 671 853 607 135 609 543 891 776 437 615 295 715 99 173 223 461 752 895 943 125 348 582 152 137 298 170 664 276 367 239 21 307 164 865 67 792 107 415 195 247 767 334 257 812 53 574 358 19 20 460 347 648 436 470 419 781 666 578 261 198 222 646 226 999 716 967 977 186 456 717 125 749 748 332 476 473 223 185 22 219 910 36 312 

   z2_pi: 59002a110d53510f3a6310012317093b655d42433c616646676e401b484a570864142554361607051e13395e4d6f202455454e28036d0b1a1947410e26333f120c2e2b4b35154f5a1f440a501d3d6c5c306918603222620452064927686b5829562c1c314c6a385b2d213e2f0237345f

   z2_theta
    z2_theta seed # 1: b31c2105b01636bc26748aa45ea9b923c074739d1e63a718
    z2_theta seed # 2: 319befe05a50d58d593f2f7068eb82f9e336ac550dccf34d
    z2_theta seed # 3: 048bd6a5ade9bf4e0743cd1dbc80fa35b983f55531039917
    z2_theta seed # 4: fb1fe8a947bce4942cf3fe0fb4e17ae7a92984d3a253487d
    z2_theta seed # 5: 5d6cea19a67dfc49034f715eeb07221732ac13e7dbcd2ea6
    z2_theta seed # 6: 1e08a6e87af257f2603affa79b1ca110962b23295bd6e38e
    z2_theta seed # 7: b1db9bdf0828cb2be2551823d29cfe5ad4452c3f5278cb1f
    z2_theta seed # 8: 95ddb02c64da09867628230e183c96d682a7f8e3550accd3

  cmt_1_alpha: 0da66bee7709854678188cbd1d253c544a950765f4142df2efc2cf2ba7c6b4aec12e35e4b202b4206262701ad78ea2dc

  response round 29

   z1: 165 513 663 895 776 967 570 160 973 510 684 977 555 575 44 1003 925 510 8 999 543 918 277 724 232 765 46 964 444 550 689 86 527 25 1000 671 321 225 350 150 947 599 281 605 313 540 352 330 206 618 971 663 831 199 188 206 554 79 575 208 715 670 938 684 689 90 1009 235 785 845 658 772 998 490 856 152 219 542 336 58 787 910 506 279 296 181 669 230 517 557 573 417 248 163 452 734 441 75 361 119 473 247 813 218 421 551 172 1019 213 889 624 254 

   z2_pi: 5354366b0866642509030d495b230e415c164c1e1f5d654801456a4d3e68433b222930444f4b2117194a07566033552e32390612465e0b043d2a421c18106e522b241a286f38620220510c0f153a69632d67596c113458500a14573f2f0047314e5a5f356d1b130527403726613c1d2c

   z2_theta
    z2_theta seed # 1: e67be550067058c5a3709daf94c84ed99ce0efe21dac5651
    z2_theta seed # 2: c47a95c5e10b77f1186783270f3adcc5d2dcba98bbffd8ce
    z2_theta seed # 3: 12bcfcb22f1a39226dc12a90d85334ec0ba88eb62c06e050
    z2_theta seed # 4: 168697b7dbfcb238ed636830f287eee0230cf074a0cc6835
    z2_theta seed # 5: cadc50d4be1490e86fb8016543cd0f37866374ba07247ef6
    z2_theta seed # 6: 87bc3ef5cba94a2c8b9f133d78f194ed24801087225fb8de
    z2_theta seed # 7: 5245268bfcd24d0f2f258cdee33507c601997878ca424f56
    z2_theta seed # 8: b5420362ebe30a386a3088b5826378cfa19404df48723734

  cmt_1_alpha: 5413ac90276c448c56bccbb74e6bf1eec714a11f8347c27422dbe653fd703326925c5f1ff3ae7986a2af2e164d171c9c

  response round 30

   z1: 826 473 849 617 702 515 848 471 416 634 163 513 497 810 557 571 84 337 904 157 399 791 285 178 835 420 864 259 1006 387 97 993 668 624 416 464 341 211 18 715 820 391 116 455 846 296 303 533 652 60 133 934 756 801 57 346 503 364 844 856 684 184 979 618 191 96 394 326 414 534 658 154 355 855 684 683 935 675 452 953 458 664 1002 394 464 345 658 9 615 685 780 484 490 608 1005 519 366 523 362 649 669 789 538 389 915 783 193 158 248 408 965 117 

   z2_pi: 2c13302d5f2b202a3723496f1d3d691e00652e38193b58624f3f6a15470e3164454228180d32065b1250046641142f4e4b5c5a1a634067026b5e1151221c681627360a3e346c104d260701254c3508170c486d33541b0561564a0f3a5903555d4644430b57242939213c6e52601f0953

   z2_theta
    z2_theta seed # 1: 317c62342a427569f1056eb3b25b534cf745a68b90fcfc5a
    z2_theta seed # 2: b5813ef977493eb61d5b9bca2854485e640800b2091cd2f8
    z2_theta seed # 3: 96a050bbc0ee849e4eab6eef89de700007082be8ae19c22f
    z2_theta seed # 4: 17cb7fe870b4a1c84f65dc85b2b4152349533c724a891278
    z2_theta seed # 5: c9013764bb5c9e499693f54daa3140817b377db5b31a971f
    z2_theta seed # 6: 18baf95a29b3cfee88c24df362ac05a569dcea1be98403ac
    z2_theta seed # 7: 48d1579588e519d73da0d13222b9a32561af69cc0a3413ed
    z2_theta seed # 8: 18cf11976c79bb8da645fbfa2407f28d614b8fc5e126bb02

  cmt_1_alpha: 6afa678b905408724beed0dd133a3e13bc7fa22c93ae03a7a96e8aba44599eeb44e4da3406fe6dda563bc50db9e5086d

  response round 31

   z1: 750 871 60 836 135 511 1020 370 37 983 913 270 109 106 877 294 961 837 47 374 934 339 879 329 236 754 810 645 841 996 547 39 93 505 203 260 206 61 692 208 241 242 880 44 603 537 948 803 604 298 97 300 516 121 897 989 37 747 779 472 794 471 389 296 307 653 882 744 483 950 757 739 974 528 669 505 375 503 546 812 678 299 782 720 713 263 979 103 855 941 652 288 574 504 812 909 596 82 689 983 723 431 796 1016 167 690 874 11 965 920 455 221 

   z2_pi: 0667275f6b26074c6e2a3320194235012b5b0a555311434d6d475912163e4e1d1710586a0b1b5e0c22153a054b5d25503d3456622d4069044160390852490e3144092c38322e68653f1a0f1463361f5c6402245a6f132357464f4866036c454a30512f3b3c1c3728291e0018540d6121

   z2_theta
    z2_theta seed # 1: 795f8e186b2e380ec9ffea64cd2f6760eb653e55581f6035
    z2_theta seed # 2: 92ccda4db9b8c29acc3d8975ebd7a9acb4f7549cf08c4ade
    z2_theta seed # 3: a5761461f99bb32a3773948d27c91100218d21acfe49b91e
    z2_theta seed # 4: 6bc8a4f0a48a3ce5c86348ebfdd41824a6c93c1681c40c6c
    z2_theta seed # 5: 131cbea8ba20a363a7359c2cc49a5fa74f6a36dc4dee80ad
    z2_theta seed # 6: b3f4c0bd36a7d097c07ef0824bb0ef0544dae09dece6c4a6
    z2_theta seed # 7: 296d2151baaf28053cd6eed67bdb3de7244acc396a147570
    z2_theta seed # 8: 40e43523cd66b8623793956d6d3de384ff125b27274f0bb3

  cmt_1_alpha: bc7e3561210e860badd16292b0c6528dcb11fa96483225a3edcb47426c842fdc4cbad9a09441c1af6eaf7d3517f06b76

m: 0000000000000000000000000000000000000000000000000000000000000000

sm(CRYPTO_BYTES):
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### SIGN OPEN ###
Done

