
*****************************
**** PERK-128 ****
*****************************

n: 83   m: 36   Q: 1021   N: 256   tau: 18   Sec: 128 bits   Public key size: 241   Private key size: 257   Signature size: 5780   




### KEYGEN ###

sk_seed: f9c129948d41687478431362ce74a0ab

pi: 0c520936512046342c4a2b4f101f4925061e4d393d4e0a1b1217032802043e213c07010f321c310e2e2d4145233014083a1a37002f0515113b484c26420b134047352a3818161d4b503343243f22192944270d

pk_seed: 91618fe99a8f9420497b246f735b27a0

H: 
  109 965 673 019 237 648 840 373 834 280 902 555 039 299 146 456 798 530 232 752 289 125 495 729 614 744 489 004 561 846 080 945 409 580 474 229 454 434 612 071 732 431 827 855 037 790 461 804 946 396 765 965 478 343 509 278 096 006 782 208 473 655 602 079 726 021 550 533 754 610 170 651 676 329 325 168 367 880 402 309 888 726 076 
  336 979 096 294 657 821 554 445 421 762 209 351 454 1010 081 810 105 511 653 1008 1019 109 821 571 990 486 1009 905 725 973 142 154 937 192 829 110 883 907 687 086 661 245 440 542 110 584 188 243 206 171 016 066 312 896 663 191 227 568 560 627 941 576 215 129 445 526 099 111 525 931 956 046 663 677 412 101 293 332 804 804 477 789 1015 
  109 454 683 738 551 888 131 730 365 008 599 851 010 053 375 440 267 196 959 503 528 260 512 072 005 197 501 526 536 588 080 418 251 895 404 117 353 938 019 616 461 988 072 863 917 522 578 051 045 624 212 135 307 062 409 173 843 451 506 795 800 423 842 887 104 962 003 059 475 193 351 463 343 309 1004 643 936 278 828 326 211 205 627 
  719 032 291 596 544 698 936 463 511 983 243 748 673 1009 283 196 526 931 944 977 953 947 847 344 852 917 339 643 778 846 141 114 265 774 833 696 991 080 230 688 915 134 218 443 279 300 525 595 687 054 457 837 425 199 366 246 559 463 663 057 606 836 192 679 332 432 765 584 371 002 513 256 907 1005 618 526 858 765 939 929 380 861 811 
  871 987 340 608 664 163 237 618 816 139 034 402 017 161 1009 439 463 180 370 774 013 034 986 029 045 629 022 387 651 502 727 417 222 601 619 594 698 395 861 555 478 679 149 714 164 567 613 934 693 498 615 907 381 761 259 414 573 913 481 192 775 599 667 172 550 162 705 972 867 716 709 667 780 924 988 683 705 359 429 816 231 778 875 
  762 123 780 114 441 774 184 107 030 741 438 1018 970 004 768 995 667 192 453 256 668 189 653 961 818 748 209 569 162 769 347 918 334 352 673 489 479 276 612 723 453 012 695 456 414 686 851 291 655 052 691 381 127 888 561 884 675 877 654 640 646 038 395 252 809 267 064 144 269 364 774 099 359 847 604 889 865 561 927 077 469 792 330 
  176 405 003 422 069 160 978 221 013 161 911 404 079 716 746 952 112 863 789 755 405 997 972 701 982 532 680 725 696 158 657 750 944 605 549 753 229 699 202 504 091 490 131 559 268 943 979 261 100 466 498 655 1016 848 686 388 690 572 453 737 131 220 928 592 324 772 846 836 902 269 157 1000 212 052 854 850 602 144 704 333 456 938 420 
  524 535 586 264 929 110 843 101 406 232 058 917 522 137 780 079 867 459 244 826 243 664 386 256 525 112 925 033 516 359 503 445 911 1005 235 308 096 834 653 425 045 896 696 996 195 063 760 859 992 344 280 367 684 991 851 012 882 282 337 532 061 108 462 829 737 709 1006 548 862 448 916 916 216 395 039 024 661 009 471 076 245 135 971 
  591 736 716 259 030 358 559 050 829 914 1017 915 082 413 820 778 331 671 1008 400 284 1014 305 819 910 802 454 240 535 619 270 083 286 334 540 745 315 436 955 356 075 117 995 538 255 082 201 881 567 831 236 476 390 208 239 950 142 518 510 132 522 138 052 665 052 009 732 743 277 777 300 080 370 871 432 955 195 798 748 929 240 705 736 
  035 318 742 674 016 977 666 465 862 935 477 927 994 981 956 500 502 921 147 128 075 551 082 829 958 459 227 155 494 369 267 808 663 641 595 912 281 1014 239 035 572 761 869 661 708 570 910 227 462 675 510 837 183 856 315 697 327 170 391 679 351 402 101 722 261 942 931 547 874 330 584 910 144 927 655 850 764 872 984 946 425 148 496 
  291 467 625 313 587 502 382 209 598 405 961 001 527 728 651 222 797 147 902 148 570 233 237 056 291 191 131 844 300 978 512 336 612 641 478 056 368 050 824 376 157 608 070 997 791 161 271 563 570 833 464 573 711 104 380 854 394 643 677 236 631 568 634 699 749 328 878 162 323 628 806 659 354 567 444 089 1018 254 794 1001 602 889 623 
  851 666 982 466 778 980 336 169 745 836 626 1011 937 698 969 163 344 084 959 252 898 240 226 190 211 866 305 871 537 305 378 176 498 828 390 443 453 460 785 885 830 883 390 490 615 528 425 706 799 946 775 993 639 025 782 1007 832 665 510 524 764 187 051 767 105 252 744 190 076 359 036 240 152 668 307 722 963 426 310 1012 120 774 287 
  627 918 144 493 436 867 133 354 840 695 856 771 295 257 579 854 063 357 1016 940 695 069 891 864 085 545 141 246 005 114 596 335 458 674 944 808 208 162 758 610 614 813 915 1015 1011 127 615 882 662 581 669 419 657 027 634 988 493 735 447 258 319 719 914 910 638 185 576 605 325 381 338 766 1008 937 778 227 871 095 908 582 259 856 169 
  486 072 579 606 312 056 898 524 873 941 582 433 746 968 484 947 911 522 863 125 439 265 726 231 581 1014 248 452 374 706 800 700 610 387 370 132 856 177 519 339 771 761 391 928 460 084 184 724 430 902 574 594 985 816 958 982 974 182 000 101 578 570 978 654 363 292 559 213 041 675 510 643 305 355 1012 665 305 892 064 090 974 503 612 
  765 054 398 091 373 1017 511 581 120 061 226 388 925 300 803 126 228 954 402 354 694 582 255 737 838 075 479 826 626 570 915 048 017 515 163 242 162 180 203 666 263 196 157 203 731 227 546 797 392 724 846 885 093 314 259 1019 419 636 852 454 001 016 614 521 266 683 038 303 623 064 964 682 751 001 964 311 785 168 067 389 296 734 531 
  100 901 666 650 138 536 989 388 383 328 726 817 681 920 655 503 737 407 210 189 429 1005 237 089 961 739 460 389 952 290 942 171 104 557 667 666 401 326 711 549 396 257 875 659 886 427 610 051 046 563 430 616 861 739 035 867 280 424 898 555 882 825 069 171 213 121 434 460 680 457 104 406 592 224 1006 695 079 821 544 835 569 030 365 
  669 740 216 783 003 851 290 274 573 258 029 1015 173 486 638 961 703 985 613 022 533 327 955 826 622 577 960 751 772 431 061 716 824 897 337 351 197 304 395 920 941 067 460 848 685 139 033 101 805 338 269 612 502 778 538 346 805 047 624 137 196 601 296 134 388 037 465 178 757 835 055 593 460 562 173 873 471 256 757 253 825 361 772 
  961 804 543 916 975 302 416 546 639 191 998 266 184 392 663 537 928 587 582 494 783 934 333 009 883 681 818 110 700 732 140 640 920 993 691 642 051 955 657 912 623 610 814 383 233 224 739 967 868 892 325 020 162 459 740 896 236 821 949 914 282 312 274 073 353 576 202 145 038 661 364 624 716 501 246 102 688 182 178 759 786 099 719 
  518 664 124 400 436 648 187 483 371 1015 836 423 673 649 151 163 942 585 107 230 453 945 017 720 895 027 668 965 931 457 481 352 484 173 164 243 499 322 1017 002 849 429 975 837 236 748 035 1019 120 164 468 006 583 465 856 950 933 198 118 295 975 948 775 855 135 350 955 416 586 365 378 860 366 432 306 579 137 528 687 713 947 918 290 
  571 375 600 025 663 440 015 423 359 213 552 450 681 216 891 569 121 166 701 484 952 712 743 190 221 013 809 369 084 413 437 345 432 133 730 037 081 724 877 979 922 168 599 979 561 058 137 750 553 494 013 743 636 070 606 120 834 391 589 508 080 447 635 186 891 500 863 076 550 230 950 791 263 466 181 631 819 700 137 848 710 102 475 
  140 819 295 582 087 963 717 609 485 792 973 466 189 581 852 131 839 331 932 647 648 338 549 687 701 719 619 029 164 708 847 908 405 356 780 848 987 504 758 666 863 1009 643 720 274 254 489 875 844 072 959 561 863 296 921 859 831 997 204 044 624 974 870 366 484 936 960 059 145 918 573 246 491 663 096 336 985 056 143 368 549 692 883 
  369 769 676 455 354 787 676 483 224 997 257 926 950 742 234 452 147 1004 995 095 288 591 242 553 455 587 264 828 814 291 713 501 811 900 418 1012 487 696 871 639 450 100 598 754 112 023 087 602 043 160 361 359 262 227 416 134 134 255 352 091 345 426 723 733 566 415 444 411 718 331 896 362 553 921 826 654 842 993 395 297 195 351 169 
  052 064 604 972 264 225 990 309 547 895 607 773 092 089 938 387 012 895 444 379 253 672 189 232 195 282 122 019 234 964 186 959 347 181 487 221 668 453 668 990 670 316 696 503 873 499 595 076 787 661 646 885 167 945 973 546 155 003 713 522 968 821 138 443 1011 406 970 769 307 536 170 887 563 154 432 310 720 829 621 792 480 245 687 
  985 703 356 925 795 841 054 344 841 631 964 387 709 764 789 906 836 795 1010 970 366 049 640 120 422 849 619 218 283 830 813 896 436 871 390 255 929 499 148 184 837 644 953 684 134 281 965 221 009 228 473 462 241 307 655 158 293 971 607 182 162 719 423 462 775 911 036 639 888 829 663 349 229 592 689 916 913 211 596 376 856 241 037 
  304 285 242 055 012 327 909 893 373 316 783 115 301 020 745 928 805 493 163 161 198 846 023 372 814 197 076 172 671 881 437 502 320 119 980 547 107 033 638 691 905 371 764 639 815 867 802 795 994 133 135 1001 413 029 086 769 870 817 672 101 926 076 903 866 352 285 589 128 964 792 777 407 421 504 878 281 774 029 412 382 023 389 078 
  366 710 332 592 056 689 290 042 010 984 153 096 679 347 976 162 484 118 204 823 935 011 362 015 848 272 788 998 527 237 428 622 278 726 793 176 840 976 866 517 673 576 122 091 693 702 054 909 721 183 801 681 948 073 387 295 811 569 080 669 860 341 307 846 869 649 367 818 707 135 766 888 866 580 010 238 184 198 045 032 713 855 622 
  084 005 618 313 044 841 444 913 239 671 714 227 564 783 283 005 529 419 205 537 788 195 748 110 877 237 249 483 376 292 194 483 090 907 824 081 624 749 538 449 032 224 326 753 774 532 765 871 633 295 679 744 939 023 302 679 801 533 127 661 629 110 891 275 1008 552 765 475 569 456 875 110 401 151 777 901 415 877 202 024 610 280 925 
  761 851 149 222 297 778 728 368 518 712 442 456 223 762 366 116 336 053 849 892 014 020 800 376 906 759 369 977 119 042 837 252 227 106 316 264 923 466 540 226 202 986 355 550 549 595 269 774 720 926 059 265 127 714 523 114 630 089 552 416 979 810 994 611 461 353 248 967 776 732 967 468 764 497 074 559 180 937 355 857 656 456 389 
  192 944 055 876 770 408 1002 215 760 478 572 245 066 278 459 076 762 294 427 647 869 1016 937 067 390 157 824 987 287 264 028 034 388 543 480 420 997 552 564 373 525 876 220 596 315 283 097 252 041 974 596 696 520 333 676 1014 430 008 261 117 314 416 126 904 888 900 416 625 409 064 236 245 664 172 411 773 779 300 199 063 622 555 673 
  074 361 003 820 638 898 375 473 282 380 480 717 014 816 929 102 462 749 137 828 038 316 616 445 976 216 117 537 663 995 712 907 607 006 600 814 735 285 663 088 354 559 409 535 945 168 029 462 864 719 576 702 144 351 512 118 888 507 047 464 971 965 1010 623 894 481 066 521 518 592 512 339 053 699 031 456 713 628 687 138 927 911 071 
  908 974 708 744 630 151 095 1007 706 858 165 500 478 910 439 470 015 312 802 269 760 467 365 261 140 501 645 759 021 489 408 382 160 283 552 488 198 403 512 097 595 622 710 485 552 144 267 022 398 626 683 817 314 731 753 381 109 848 813 277 127 962 789 622 626 703 060 450 980 069 597 589 778 350 981 185 419 412 782 158 489 053 448 
  788 556 196 808 717 561 161 1017 881 278 816 259 593 717 1008 912 059 383 305 612 297 042 721 454 060 644 258 427 792 159 091 294 459 718 604 003 206 980 221 191 106 724 878 912 551 265 608 761 643 692 581 678 011 433 269 613 208 622 481 111 994 111 854 888 108 637 120 069 1008 534 541 548 983 297 781 827 560 940 815 524 852 195 475 
  141 473 137 550 496 919 520 118 511 1004 171 144 770 453 197 328 231 131 962 523 277 535 983 418 046 054 329 281 436 645 814 934 387 788 427 610 965 652 376 780 896 591 221 583 605 003 295 091 197 505 848 359 802 190 218 693 729 405 478 380 697 173 814 496 068 551 148 084 922 889 619 375 142 359 1014 200 098 127 168 399 820 797 935 
  473 709 229 623 695 134 662 493 763 732 917 971 857 906 288 852 129 173 667 543 971 907 222 681 440 197 430 395 515 607 815 435 959 541 226 355 241 598 518 391 577 300 938 874 121 034 935 379 363 132 235 524 587 1000 604 1008 485 673 458 046 289 922 097 949 105 1020 693 241 128 645 972 338 793 1002 553 321 590 885 663 900 880 172 225 
  024 320 862 911 536 430 029 582 731 424 885 965 433 361 559 759 858 751 828 130 912 105 268 434 232 532 042 589 967 109 432 790 361 906 667 415 689 477 852 309 338 880 774 312 037 488 115 713 723 809 193 049 587 104 418 983 436 176 595 902 740 545 146 537 745 560 067 1008 519 117 286 081 201 610 688 529 337 385 571 957 414 830 496 
  658 091 187 075 838 150 712 085 607 926 000 423 740 838 755 090 602 943 009 996 267 694 303 313 556 334 691 575 162 633 185 443 860 649 557 311 078 111 807 215 816 435 271 743 204 659 1006 442 794 069 000 172 711 109 052 849 099 137 265 419 454 116 350 778 549 493 888 102 509 472 130 233 252 596 495 214 988 519 878 952 169 334 087 


x
 x_1: 666 645 648 228 901 340 378 634 313 409 018 372 999 615 637 384 612 202 545 370 237 259 369 686 011 920 983 477 829 833 878 563 394 778 848 824 881 951 228 455 478 451 373 418 470 801 311 946 159 955 948 595 212 165 255 266 621 816 400 167 702 516 942 200 564 882 854 368 355 253 985 498 153 486 313 936 927 553 999 193 687 715 392 
 x_2: 534 620 155 852 487 963 843 773 009 505 020 494 713 342 695 611 761 239 499 295 326 384 941 192 495 778 245 211 019 455 576 820 998 039 959 991 962 469 270 388 874 744 091 308 461 045 881 358 436 857 303 931 044 126 300 839 499 291 142 683 699 903 869 628 209 813 035 718 488 462 132 283 682 387 493 254 139 003 004 865 038 806 492 
 x_3: 826 855 657 502 860 088 808 309 407 531 365 298 835 433 927 495 366 724 146 481 459 095 568 212 196 116 262 864 800 172 556 944 083 182 780 505 629 092 284 026 869 784 142 626 289 549 049 542 984 493 254 913 441 897 306 215 476 653 587 497 823 023 749 674 646 797 074 910 793 443 949 693 1002 786 424 043 924 768 048 888 822 878 747 
 x_4: 886 743 819 1013 631 203 197 340 210 038 604 774 188 525 446 237 027 044 277 394 609 1006 781 370 521 925 104 547 194 345 384 941 978 680 183 274 006 038 910 105 623 085 222 726 975 686 902 306 050 234 593 167 656 927 283 915 374 352 763 766 843 756 211 012 268 163 347 639 718 507 946 849 133 359 198 761 455 828 299 887 237 822 407 
 x_5: 938 671 758 320 472 835 320 524 767 996 355 098 032 559 572 049 197 025 521 247 808 151 897 170 001 889 672 917 035 356 789 516 219 942 174 501 492 769 760 182 810 884 650 336 306 220 711 900 643 122 261 623 942 097 1016 597 299 082 495 520 655 196 071 826 806 850 058 780 549 968 109 008 914 643 050 968 263 1005 484 563 254 467 421 


y
 y_1: 416 535 989 853 465 894 364 729 166 412 931 472 701 976 399 448 761 393 732 911 060 030 870 952 252 321 318 158 820 380 053 870 331 944 500 238 
 y_2: 964 401 313 997 750 644 490 446 205 243 411 614 375 028 541 821 717 804 250 300 860 116 847 771 866 947 781 394 588 175 911 855 692 920 941 1015 
 y_3: 972 209 508 983 185 391 641 793 614 487 466 599 178 051 787 476 696 687 999 561 684 536 574 418 217 454 289 200 009 418 223 765 040 119 204 840 
 y_4: 574 982 139 784 612 457 420 107 645 618 711 463 971 064 194 054 521 346 827 585 729 183 616 049 791 099 255 334 879 441 884 075 325 1015 934 949 
 y_5: 848 863 407 258 148 259 336 361 359 1000 1001 381 892 273 244 223 449 528 987 426 690 226 000 987 446 887 746 510 1009 995 1012 468 724 419 1001 813 


pk: 91618fe99a8f9420497b246f735b27a0a05dd87dd5d1f9cd56b6a670363a76bd42ff1870f926c6ede33c786036eefc04e5932734f35583d94bc14e9f3bc4479653f9ee12aa9e6fcdccb399997771d061cdcd92ac0f4b5cd3f1f4c062cfdeb0624cbef2f8d5b462defafdcc47c3dff5b91c1668c6669e27dd95b2cc303177b8be7a7e8cac62e8a368d9181712320988f64dbf28dcc10cd23e5abf08c4642647da1a85aa79ec73cb03218c0d096ab57392d9de82660c178ff18f536fe746f71245dd6f7aed507f7d9940940c04555a67a19f7e5f7c4744cf37c141b8bd6ab28a03c0f6beddadae7ff18f4f3f75d48e967ecb

sk: 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



### SIGN ###

message m: 0000000000000000000000000000000000000000000000000000000000000000

mseed: 9b4e441bd6a749877799fb711d6d1f45

salt: 5e2cab5b5766a64515d7c7ad3eb675c0fd08eebbebbe669bae6001865438d89e

 Round 01: 
  theta: d13f8022fec1a404ee3f782351963105
  cmt_1: 606e72d0f29c627317fa7d04171aadbf06befabc5f3f655169b2c80dec17feb9
  v: 132 527 546 524 424 647 423 685 316 656 689 320 417 891 549 950 888 302 658 625 114 218 924 822 48 553 103 61 437 258 642 92 207 442 538 307 644 209 194 885 927 578 580 498 557 587 600 122 613 579 460 220 779 636 1002 506 957 153 946 623 510 748 445 234 739 493 391 247 180 886 359 647 915 750 174 329 47 126 834 359 712 713 1009 

 Round 02: 
  theta: 64f71dbb0a743ca41db79cf422a29ff2
  cmt_1: a013408d07effb88fe4a3f8baf10ba5b78c85e1aa98b5ae5119ddf4d2e1baf96
  v: 317 435 719 287 191 687 844 934 114 768 716 1017 420 674 44 933 85 384 640 749 760 902 771 154 188 805 596 89 435 1004 472 215 52 783 109 508 3 978 415 401 378 140 809 372 577 928 756 357 154 115 83 931 476 326 173 870 268 406 886 404 262 243 369 67 691 611 776 959 806 562 962 397 492 179 402 769 790 953 148 875 101 931 674 

 Round 03: 
  theta: ecb9388bd5e87b3aef17b9d185a1c0f9
  cmt_1: ee17500aaeba22d0c7e9829e86fc913acdf172228d7d7c7f371dd33c4185f3a6
  v: 892 130 219 770 804 1004 709 339 614 604 500 44 588 227 96 204 22 454 175 503 309 215 627 254 24 689 7 190 147 768 879 493 235 593 75 83 759 347 998 404 834 41 572 797 1001 277 640 675 733 849 153 320 588 775 983 849 70 789 637 572 956 240 489 694 369 72 557 768 9 676 766 642 421 626 804 444 392 392 457 754 951 39 274 

 Round 04: 
  theta: dbc243ef2c0cf0d24329be9e738b4f17
  cmt_1: 49399ef8d3195e209cdd70631232f26b91a492e3f4c5c53fe0fb262780e073fc
  v: 326 718 16 996 48 140 588 374 632 704 954 240 209 372 873 312 488 388 970 266 763 823 333 978 833 750 78 203 825 28 261 337 83 319 482 675 261 713 924 88 654 999 542 801 581 32 521 937 591 748 292 903 14 813 513 607 638 797 436 330 907 326 146 970 397 491 780 337 606 973 993 472 772 873 842 351 39 64 191 910 142 715 13 

 Round 05: 
  theta: ea85653c35c8518679c0508a38165eb3
  cmt_1: 8c86241ef42f8db242c53665846b48a89dd23ee077f4eaee301e7cefbca15739
  v: 56 625 124 630 12 496 815 708 548 333 400 752 449 414 671 361 374 996 22 492 157 270 177 255 971 657 998 59 884 367 74 174 140 773 639 763 565 770 1007 165 162 616 499 374 292 624 681 294 687 91 886 923 697 41 189 907 622 785 991 596 683 417 453 205 751 40 30 989 62 809 711 985 553 549 682 726 950 618 822 202 154 814 114 

 Round 06: 
  theta: 782cdf9ef19bb95c5f12e232fc90459d
  cmt_1: ae3f88756fc912696eb4e8e071b1664129b01af4665743b235a8742500691f6c
  v: 707 503 254 805 0 838 430 102 296 865 184 386 461 147 428 375 293 390 132 66 956 17 253 353 541 1007 285 450 1012 305 577 851 125 475 980 348 155 392 367 799 147 940 966 363 891 716 514 480 370 749 568 410 517 893 854 570 818 878 831 480 157 318 714 345 290 768 162 850 327 306 8 288 891 767 451 771 542 148 411 427 385 617 315 

 Round 07: 
  theta: 8c7379ef25b73d091fa613345ddba229
  cmt_1: fc7ab048f7f13a5cdc57893dc7aaccad50d592fa6fe38909ac2cfb6ba13a5a64
  v: 1008 854 172 363 711 369 868 707 993 847 1007 489 906 259 438 827 859 802 748 367 912 690 694 922 508 289 783 929 783 560 705 652 411 936 165 549 74 616 156 376 619 954 801 343 349 766 717 37 739 496 23 263 424 251 447 1018 198 623 312 832 820 982 219 220 568 263 164 871 413 948 88 468 498 922 67 228 594 303 447 236 171 105 39 

 Round 08: 
  theta: e235c042bdd412ecc6baae77f7bfed1c
  cmt_1: 752fe2211fccefc0f91c6018bacb83255947b22b21a4d3b6e946b0391fd65915
  v: 264 669 706 134 253 613 802 7 733 754 91 992 626 9 385 147 877 2 981 988 484 1000 1009 121 370 440 779 858 256 510 620 611 188 101 570 664 742 798 916 184 706 642 161 642 556 455 67 734 819 551 424 710 705 916 201 360 504 245 212 1000 717 700 120 890 741 958 221 291 612 202 416 1014 974 55 938 1016 199 1007 901 521 918 89 299 

 Round 09: 
  theta: 560a6aafda8d4b62fd8c92b57400a0eb
  cmt_1: a3287e24f6cf987ec9acf90a12bf88a10ef246efcedc03deaf7d8ecc0d6ef4a5
  v: 257 281 383 32 385 410 95 854 975 553 465 327 550 587 82 976 11 566 435 728 85 824 126 725 384 333 197 588 845 953 946 1005 959 941 973 685 635 342 578 649 809 83 194 497 184 19 686 829 677 902 968 62 670 694 855 737 783 731 876 758 244 525 566 434 290 662 301 667 515 481 432 364 912 72 76 920 139 884 164 552 701 855 154 

 Round 10: 
  theta: 8d15df35f2703ff89a8f56ff85f84e04
  cmt_1: a516823640359e45a7b158ff947e431b7821d1573be5713a5e5a260a7299acfe
  v: 677 571 919 357 525 40 238 692 925 953 563 102 193 180 754 556 458 411 496 748 603 542 434 727 582 437 1 99 400 162 142 794 958 68 477 353 372 673 95 632 22 776 142 432 169 630 832 541 301 983 499 21 438 909 519 451 679 220 675 385 960 89 229 769 546 140 278 46 974 283 549 406 675 145 953 589 492 302 460 256 59 546 523 

 Round 11: 
  theta: e51d2f7f6d118f007ed0cfae5d693095
  cmt_1: 40eaff777f08e1cd77a49f8480e52bb9fbe8cd00e8fe722e24e1928f65e6ef82
  v: 544 962 915 995 305 532 348 228 962 270 196 591 167 714 47 647 538 591 518 236 376 638 236 20 460 991 264 71 930 431 136 1009 915 165 160 772 225 791 347 175 592 748 563 719 272 490 701 323 711 363 767 338 926 308 288 779 733 250 948 943 450 897 576 690 174 284 76 649 90 211 433 521 183 536 767 234 477 978 900 531 888 956 489 

 Round 12: 
  theta: e9012ef8fcb0bbf35d6d8ae10563c1e0
  cmt_1: 1efc064c15be6cb504ea7c3a8b3be4367d0b5c67db2088d18846a0a5538ad351
  v: 383 800 613 266 89 391 210 796 272 32 854 72 778 827 940 257 959 57 58 556 979 497 927 368 32 68 992 719 1 508 412 1005 567 779 855 696 53 98 838 698 393 152 21 693 925 240 407 603 135 72 190 300 621 831 1019 258 853 351 904 330 265 143 820 607 472 495 633 964 324 52 954 50 571 228 507 327 252 404 272 406 487 118 797 

 Round 13: 
  theta: c25902dcc6bfc5149f5d25c7bff1682d
  cmt_1: a909cf140f41be76388960fb4fcb1502d3e01b7614746d97870fe9dbb6bea30f
  v: 883 225 511 1007 186 374 934 871 100 655 721 380 509 856 604 256 298 362 40 64 381 700 130 920 900 741 207 186 995 568 755 178 90 489 639 719 412 89 317 121 411 132 564 514 105 94 0 135 641 791 871 833 618 957 295 131 642 971 476 318 315 362 238 514 202 774 544 473 633 357 304 227 798 501 550 775 456 526 229 359 115 390 559 

 Round 14: 
  theta: e431afcad2c7701e4c8fb6f3c7aa1a73
  cmt_1: fe4644285583acb86b81f3224c776879c1198d8e980e67b066b81c8ae5361893
  v: 166 76 703 512 390 47 658 23 597 157 251 459 212 961 687 180 905 354 413 857 989 208 492 38 23 511 2 319 650 995 447 915 582 461 718 613 314 751 406 655 2 257 477 806 505 976 207 635 681 660 317 15 824 912 691 951 114 998 291 220 795 787 223 106 154 174 187 47 212 961 354 38 13 181 947 559 609 979 1007 85 930 652 732 

 Round 15: 
  theta: 143d1ca7630d4823f7e36642cbce15bb
  cmt_1: 6a92b44164686eb25e2bca9f816595720f3169341ebf48fc0c3135f3d4fe9b41
  v: 886 292 418 765 728 880 539 864 145 677 844 945 835 264 600 101 94 545 433 63 932 438 974 781 369 459 101 965 168 399 186 651 938 155 546 791 961 914 776 844 325 588 364 509 544 733 217 402 837 733 99 378 576 773 156 438 68 810 7 103 368 925 214 855 595 810 195 476 607 246 66 878 293 51 116 878 297 1007 881 945 101 749 841 

 Round 16: 
  theta: d5b15efed7829e3d8ae503cb3bc6f77a
  cmt_1: c651feb38626847e05a7540b3ada16321e239c84a87fdb625c02f3a11bb63f1d
  v: 566 485 234 771 975 29 722 476 867 77 34 693 44 61 834 635 1013 1 326 293 547 18 977 888 431 136 748 401 99 119 626 120 644 596 882 609 727 740 721 739 706 422 294 126 609 679 945 75 880 244 982 573 587 458 1016 746 844 513 968 714 228 547 641 563 889 599 60 622 600 833 975 821 222 180 153 392 237 689 1002 170 525 746 874 

 Round 17: 
  theta: 8157170ac18fdc7d27287b4807cf1b1a
  cmt_1: 466d2883012bba4ed627eac19eec10bca41537907a79ac7aedd18823639707ee
  v: 323 757 61 408 851 821 594 96 474 821 379 889 537 388 910 300 630 778 949 466 687 700 572 455 328 793 576 107 126 549 887 968 1014 864 921 510 203 421 751 115 236 185 251 201 22 100 244 587 661 89 494 46 610 943 84 25 967 440 39 180 409 636 181 526 708 533 756 207 132 650 118 833 152 236 279 480 542 243 350 72 258 658 680 

 Round 18: 
  theta: c3e6ecc59ebb2c3b419224c7b1831711
  cmt_1: 333cc8b304e32744061eb708449cb11329e4196b053c3580d8c173a82f61d545
  v: 62 222 888 92 776 190 485 676 657 987 496 242 637 407 646 542 606 574 739 77 540 1013 134 629 316 198 267 439 402 260 329 96 173 172 852 549 97 364 152 697 70 449 27 1002 393 137 737 445 674 361 159 43 262 29 275 804 299 514 711 804 345 297 779 197 292 839 111 876 265 452 94 64 772 797 478 317 898 605 981 607 393 288 868 

challenges: 

 kappa: 
  kappa_i (round 01): 394 688 311 931 844 
  kappa_i (round 02): 289 710 160 178 092 
  kappa_i (round 03): 047 675 044 659 361 
  kappa_i (round 04): 421 782 013 289 710 
  kappa_i (round 05): 808 852 777 396 184 
  kappa_i (round 06): 732 011 370 458 502 
  kappa_i (round 07): 144 519 543 272 768 
  kappa_i (round 08): 747 410 863 261 349 
  kappa_i (round 09): 152 076 496 269 975 
  kappa_i (round 10): 170 304 518 547 133 
  kappa_i (round 11): 855 743 211 295 888 
  kappa_i (round 12): 857 359 007 279 671 
  kappa_i (round 13): 148 700 622 470 843 
  kappa_i (round 14): 372 341 832 910 138 
  kappa_i (round 15): 095 037 856 491 409 
  kappa_i (round 16): 736 634 310 643 028 
  kappa_i (round 17): 224 597 165 615 725 
  kappa_i (round 18): 739 265 631 617 901 

 alpha: 76 199 173 90 85 228 8 139 215 75 128 37 78 21 248 122 187 246 

signature: 

 h1: 72a92b9ab46f5c9e54423ba7280c6147a5f1d53273311cb010b1b8940c4ec5c6

 h2: 50058eedc1a8c078a9f9f156e979b61b4102384d3580276c21ee4b6ea91d60c5

 responses

  response round 1

   z1: 800 725 372 530 106 241 224 718 773 314 517 91 669 109 587 1011 78 132 495 420 995 627 817 14 285 964 77 535 317 519 18 926 283 568 188 336 226 962 24 1019 522 430 694 549 587 738 869 273 818 364 283 816 371 194 256 615 523 500 906 840 113 691 319 892 828 974 941 889 554 877 103 916 183 900 606 592 264 125 583 523 1016 684 267 

   z2_pi: 2b471a343527320b174f1342251524360e4d37452c16334e432d0405440f3b2e1d202a221019291102233e40520a391b28084801091f184a1c0d310c463a3d140351383c5030261e41062149074c00122f3f4b

   z2_theta
    z2_theta seed # 1: 0cba288d1f9dd662e167a1bca800844e
    z2_theta seed # 2: 7bf52815cbe6a23f788e5cacc56641c8
    z2_theta seed # 3: 6917482032a4ba7c91fae96dd57458c0
    z2_theta seed # 4: 537adaea1e0ef44e82f83646ae119240
    z2_theta seed # 5: a33a34964deb2420db100e6e2eb15e53
    z2_theta seed # 6: eb2abef564691a31cb6fa84308dff912
    z2_theta seed # 7: 9cd6ccd7250ba4ff8db6d8a1f2d25da0
    z2_theta seed # 8: 9dee79cdc3cccba23a0f9bb9d68ad2e9

  cmt_1_alpha: 80e085d0398ff5ea07fcaae367a665e701a975fbe808b363ff0b71878fc77d3d

  response round 2

   z1: 635 238 396 381 958 222 397 957 591 560 852 51 773 436 218 564 350 643 935 494 667 706 193 264 782 882 822 44 97 892 450 79 95 73 961 361 972 984 379 638 392 544 390 322 232 301 563 267 574 369 835 527 320 613 2 946 934 570 389 156 215 815 607 675 1001 236 938 633 140 691 623 639 324 6 953 439 533 828 859 477 205 329 860 

   z2_pi: 4a1d3450323f494e0d0a37330039471f3b2f40220e10441a2e35024c0c461e2052130f252404121b313d303e07281c482a512b361119180b3c3842262c4d093a06414508434f052915212d17014b1603142327

   z2_theta
    z2_theta seed # 1: c445d0908cc27250c2f95b8fee15b4af
    z2_theta seed # 2: 65e8e7c6ca055e1138462b8091af8baf
    z2_theta seed # 3: 546220f855434bd3506b604ea2759ee1
    z2_theta seed # 4: e429c3a9f32da45660760c1e83252a35
    z2_theta seed # 5: 98fe858dbd7a9ae0b425d8378cfc51f8
    z2_theta seed # 6: 3ba2b5e11ddaf522fe9200e75c0591e0
    z2_theta seed # 7: 9b8d93c9c6c247639d01e8450600048f
    z2_theta seed # 8: c694cfa51951d2f538c525e650978b54

  cmt_1_alpha: a3459247dcd0aaa9b005cce7b75d9aa25b169ac34055ef1f0af6b067757f09f4

  response round 3

   z1: 507 93 694 151 248 629 694 63 867 551 802 223 1000 684 239 151 41 920 256 235 77 902 211 506 129 35 441 678 428 943 417 970 395 682 4 845 615 150 427 469 304 669 227 685 467 809 971 314 730 446 763 845 45 891 43 925 661 993 105 971 823 574 87 634 369 917 540 33 411 830 411 634 746 32 964 528 830 489 51 534 1012 971 860 

   z2_pi: 2f1f3c3b0c2242180439282b27242632140b2c3a070551411b4d2e104c1d2930400d154b360f03081e2349120917483847061c431a134e2a3e212011163f44461934354f52333d0e002d4a0137020a50314525

   z2_theta
    z2_theta seed # 1: de8df84fe09e3eb0d28fe8a76d46608f
    z2_theta seed # 2: 278094cf8702ce60d3f563d58336bde4
    z2_theta seed # 3: 44758cfb7369d14cea0fb454a0b79b7b
    z2_theta seed # 4: c4da54320b792511542f2f3e83d8e283
    z2_theta seed # 5: b12b9196c77b06a1b7ea27ec07c47e3e
    z2_theta seed # 6: 0b5c759ff2f8276e1ccaafeb126d742e
    z2_theta seed # 7: 720f1092c855e425f70ea5e23d61b1ed
    z2_theta seed # 8: 66f92ccfffa89a98559986e7fad8473d

  cmt_1_alpha: 9e0ae7de75a0e756dcc85efa85a0ad2ed42fa6a41b3b4aeac7c3ee984a79928d

  response round 4

   z1: 896 98 557 725 688 388 86 599 548 949 896 1010 266 900 245 424 886 887 626 164 382 461 204 647 657 397 787 395 316 274 900 783 831 280 758 623 48 969 155 439 796 605 517 134 594 393 238 756 100 193 218 370 655 634 512 267 785 83 788 634 728 145 888 642 727 94 687 549 924 516 521 434 109 967 502 710 453 641 146 867 149 831 21 

   z2_pi: 2e2d3223011315343d47054f023f4d0b1c3e403524284807423109143a06363c4c0c413b0d2a3016430f2527042044371b491e0e4b4e4517391d51114a29332619182c00101f12381a502f0a21082b52462203

   z2_theta
    z2_theta seed # 1: 3b47fa9fe9fc4a24932cf7460a0f2da5
    z2_theta seed # 2: 0f3ac9ef93741c35a3da93a966d369db
    z2_theta seed # 3: 6ac46f50a6b40aa5c2617869ea8d977a
    z2_theta seed # 4: faf2a5d4d3fed01ab7c0abd6b14bfbd3
    z2_theta seed # 5: c90279aa42f4e5503c485a0ab26ab34e
    z2_theta seed # 6: b2f3961dcaed07b1f8844100aea2c3d8
    z2_theta seed # 7: a8df7871ba6bd8718bace62770102fce
    z2_theta seed # 8: 183b56e9deef037eef873f0484db66de

  cmt_1_alpha: 5bce572be229c10652fbcf8cbefee3841a9197576dd6214872e2090ac527b28e

  response round 5

   z1: 772 565 366 933 920 432 739 583 380 797 181 590 453 877 103 380 406 957 612 822 313 949 547 96 34 268 229 556 299 630 735 659 342 741 527 122 276 824 551 316 306 955 778 846 463 497 728 49 650 343 670 95 318 114 733 122 207 877 695 794 546 318 592 145 769 919 808 859 690 904 87 743 326 263 890 423 531 227 867 258 609 269 183 

   z2_pi: 331e460223441003393609193c1b433222122f0d1f3e2d35084c042c0c4f00482715052b4e284231064b0b1130403a1618371320210e382e3f47340f174107141c251a2a0a5052261d51454901244a294d3d3b

   z2_theta
    z2_theta seed # 1: fb2fcd7577b567bd93c9547dbc533b5f
    z2_theta seed # 2: ebdfb3e4347d676db95bd5e258b40038
    z2_theta seed # 3: 7ac53d2a55193a3b5e943b78d3f8c96f
    z2_theta seed # 4: 8962e18515d11fe506f57039a78e758d
    z2_theta seed # 5: d048f55735e9a92e297a14dd5379c321
    z2_theta seed # 6: 909e5f3b6eb95a9a7d690df84fb8a609
    z2_theta seed # 7: 93e84415ebfc0d6c44b2a9d62075a00a
    z2_theta seed # 8: 9e77852e6a161ebf2cd37656aa42fd54

  cmt_1_alpha: db69db0af626237567bd60c58abb790cd8956b4dd7de0ee6f1f3c056a06d564f

  response round 6

   z1: 907 898 74 688 1006 434 765 544 375 158 748 520 4 551 855 686 554 806 559 442 712 793 673 988 776 335 962 622 835 2 363 801 422 807 35 572 471 232 702 937 91 974 247 93 299 728 189 298 707 88 184 709 118 844 160 434 638 121 252 783 622 177 451 755 116 387 457 343 625 160 192 866 637 775 467 790 352 547 849 142 407 644 593 

   z2_pi: 3201492e0e20513129463c2a140d180627392407103a523b2b453635441a2d1643474c1e4202090030380c1b2f041911034d08124a34250b401d3d174e1c2c5048220a414b370526283f130f1f3e2315214f33

   z2_theta
    z2_theta seed # 1: 6f27b8aa47000b03810b75562cad48df
    z2_theta seed # 2: 5ee894749828afa62e76873f5a106d96
    z2_theta seed # 3: 723074ed39d6a3e0b8115b8e1bc8a466
    z2_theta seed # 4: 192b7b9b32a2299d45508d59b4b0cf23
    z2_theta seed # 5: 54ce06c849100703f6db4858969e8d42
    z2_theta seed # 6: a0bbc7f68c7efbc2997a5bb75e7f8bb2
    z2_theta seed # 7: 67921120bb77ed2e7b8862804861cc92
    z2_theta seed # 8: 4012a1ae74e26ae0849131aa58c306a1

  cmt_1_alpha: 3b6df0219d36a383f740878a7d16ea0b3f006f25770cddb2d746522c163436ac

  response round 7

   z1: 735 225 572 736 627 861 962 367 786 593 463 633 126 899 1005 448 103 544 307 1010 375 167 153 873 630 362 964 486 724 690 35 597 786 665 626 102 320 929 252 449 970 293 90 218 327 276 345 299 148 424 210 864 574 581 889 981 756 607 783 587 788 617 954 796 108 1009 672 454 1005 267 773 390 984 568 792 519 195 641 661 960 151 595 684 

   z2_pi: 4f0a412c214239174c2806454a121a4d160203231f32183e0c101d383b1b260b310d474309501e2e2d350724460f053a2a4029194e15203f493722042511002f271c30334851444b0836142b013c0e1334523d

   z2_theta
    z2_theta seed # 1: 9f79a9b151251beac2f8aff4bb1b0266
    z2_theta seed # 2: a849580041373e4731c0e4e1c86a5b50
    z2_theta seed # 3: ca1bd6c2fc8b52409be77904a3fb4eec
    z2_theta seed # 4: 2780688c3d03366d671b92cefcbf5c83
    z2_theta seed # 5: 5f347d43e2057386610479d633b2a747
    z2_theta seed # 6: 6fececdc70548dae85a687c1f8c9187e
    z2_theta seed # 7: af9c9bb1ab472a78d411be06be62ef6a
    z2_theta seed # 8: 80fc0c853c5183f54265a064fbae3c4f

  cmt_1_alpha: beede4fe86f1b25755c9fb6c577d44181e09a359b3ae9fa72e44f7d481757b9a

  response round 8

   z1: 629 434 763 4 772 688 16 346 357 288 152 467 630 590 660 868 860 714 19 360 806 81 702 892 358 372 44 663 808 665 496 858 503 967 599 559 624 496 216 146 784 421 742 393 823 359 618 198 928 351 328 482 520 289 570 366 996 949 327 408 273 362 100 788 834 535 190 240 518 1011 1005 437 657 678 39 393 637 437 624 159 471 445 726 

   z2_pi: 0e013c1307454d2c513a00460311400f272542472e2d1b182a193837082924341d0b140a391e21231f0431120c2b051030220936324b15023d173f1c4c3e4e5035434116284f060d4a481a442f2620493b3352

   z2_theta
    z2_theta seed # 1: 25fbe188e2e84ca407caa14f157866eb
    z2_theta seed # 2: 58fc8dabb9e15397e9ae54989e7932a2
    z2_theta seed # 3: dcf2b62dba5436e31dd1b1fe1e0d8800
    z2_theta seed # 4: 475c156643ea7caf1f6be8a1a38e9031
    z2_theta seed # 5: ebcd2baa617d72bdfa85b68f0d35e5df
    z2_theta seed # 6: c2e14b73fb067c16167ff5537dae0361
    z2_theta seed # 7: 58e84236f14982e58c06c8dc62ca928d
    z2_theta seed # 8: 61562a7638e3f042f32efa38fb2f0c81

  cmt_1_alpha: 9799911ae056511c7f77122d3d84f709a2879609d019b4e593f8128a862d2cdb

  response round 9

   z1: 550 54 982 953 976 290 960 983 1004 3 392 358 336 583 834 967 495 345 459 763 1010 261 963 251 719 582 685 837 958 236 921 906 78 892 175 385 922 389 273 683 790 939 536 546 131 1003 739 802 374 717 928 370 111 32 942 51 228 902 838 197 8 474 997 650 347 114 665 580 256 561 179 670 250 452 555 428 489 89 475 707 82 122 637 

   z2_pi: 0718462d35451b0e49513b3e4d2f230a410f3f215209282439203c2a142c4431291a08333d431d010d170206424700224e05033a161e3250264f2734304a152e3748361140254c134b1c040c120b1f1910382b

   z2_theta
    z2_theta seed # 1: ef86debe569b5b0dce6f6f4dbcce14e3
    z2_theta seed # 2: 6ae6e66d4b1b50d26bcf6a984ba061d1
    z2_theta seed # 3: 6c3a3db0825481ccabcdf68688f91334
    z2_theta seed # 4: c2ca629a316e60a8df4994ed528fcc74
    z2_theta seed # 5: ddcad74394e44f83cc759313e3f8443c
    z2_theta seed # 6: fec1a0ea7cb1ae614260940778659967
    z2_theta seed # 7: a4d4c3fe6dc4f1a728c937039e6ae5d9
    z2_theta seed # 8: 98d58bce9bef5f1a4e877323c4d2726b

  cmt_1_alpha: 3b61fa8392ebe2f07bf754e79b59fac7d8f459f045dfbf9fad0d1d2a284a9cd2

  response round 10

   z1: 758 154 2 228 691 934 357 484 24 905 547 994 721 207 362 189 569 960 363 249 775 890 958 217 475 978 983 1009 488 781 591 246 78 60 537 507 912 441 163 525 507 47 155 679 280 441 338 857 533 867 12 342 430 743 995 358 795 420 499 948 569 599 433 61 991 247 722 364 717 60 587 534 218 584 798 934 372 702 654 752 297 594 40 

   z2_pi: 0e4e3c4812511e3b1d31030805460c20062f1b0f414f07374a0928110135222139273a2b23101a19382c2a52334c3d0b15041f3f491c242d4d293e0d171850264442340a004340142e360230134716254b4532

   z2_theta
    z2_theta seed # 1: 4cf5d7e0e64697525f445a128def55a6
    z2_theta seed # 2: a05f0f4a9e9ac64c7bfcbfa7d4bb3664
    z2_theta seed # 3: 3fa0ef35541559344f7d64998a711056
    z2_theta seed # 4: c13d5e92edfcf59ad79072d2a80d41d0
    z2_theta seed # 5: 48ab7417922d59e5b56b499896949648
    z2_theta seed # 6: b931352df381200233151ec8b4342d8d
    z2_theta seed # 7: c135e343e1e54a3fe31d52431b604810
    z2_theta seed # 8: 811c1f1d4d678108954c2b371e2b6716

  cmt_1_alpha: 50219919aec18515630b9251f35c3dee2127420c564d6a4a85c8758e855c61f4

  response round 11

   z1: 458 783 155 277 81 897 918 585 407 660 190 914 237 306 643 76 558 12 887 700 578 446 579 844 712 543 338 639 49 970 527 620 583 278 130 776 278 465 829 310 265 586 690 510 98 768 445 0 784 617 472 519 789 736 894 617 748 453 149 635 305 334 499 133 149 293 342 647 96 971 323 336 496 812 87 273 448 64 25 132 954 326 108 

   z2_pi: 1a122a041e4f3a0d28112534230c480727264413334d1915164151101b142f0b4717025240353f453000204c224318504b242903310805461f493b2d062e4e1d2c32010a213c380f373e394a09363d0e422b1c

   z2_theta
    z2_theta seed # 1: 4ca89841017fddbc47f04a0b0b994709
    z2_theta seed # 2: 0298774bd9c8d899e447d2e0462d095a
    z2_theta seed # 3: 317c451b887b94fe0a80fd6b89c6e177
    z2_theta seed # 4: b2d22a5c6ead4188977b871c366129b5
    z2_theta seed # 5: 3fe46291fa51a1d787652010a591ccdc
    z2_theta seed # 6: 59cd067d30fd450ef3d54a10376182f8
    z2_theta seed # 7: 6d1c28bba24573d2e3ff214dadb08d8b
    z2_theta seed # 8: f4ffc99410585f3105401e7ff3d2b623

  cmt_1_alpha: 8595b89e1176380cd403f95f8127d8b23cb680f14f94774bf8a0cbcd97a733eb

  response round 12

   z1: 268 502 663 572 41 34 902 189 931 266 186 604 359 219 40 865 481 792 1018 700 59 156 806 241 616 449 943 837 58 831 515 646 990 253 828 270 85 571 639 456 800 863 273 771 745 951 504 374 185 19 918 628 138 856 703 81 829 720 984 671 414 73 138 790 540 449 633 972 259 693 161 112 818 504 332 156 753 764 693 386 264 880 811 

   z2_pi: 0149134b350522062d391c4f1f1236240b404d43304c51183d2f0715344850322c161a4138313f20264e334500460c422b2a0e14523b254710283a29023e2e1b031e440921371d3c08274a040a1119170d230f

   z2_theta
    z2_theta seed # 1: a4fe88bbf973395fbd804c75f32ee11e
    z2_theta seed # 2: aa7edc47d0f6832149736d5e4563fde3
    z2_theta seed # 3: da1e1e6f7956e230297701fb75a96f93
    z2_theta seed # 4: c086aa79b01ba2827c1508d2f3ac1ca6
    z2_theta seed # 5: 47c8188d9c777f67489c874d2f0c8a5a
    z2_theta seed # 6: ee126691137f82b4eb5859c4a8448952
    z2_theta seed # 7: 0de6a202b9c8776f36840fae0923e209
    z2_theta seed # 8: da62e56eb786fa77270d028d0b45af4a

  cmt_1_alpha: b186c3e696eb6311e750d415f8cd88fdf7d45645cdaf1b0e2c2e5ed7b58e589d

  response round 13

   z1: 474 724 433 910 772 859 877 300 271 477 112 442 989 555 647 259 905 919 680 789 52 623 750 768 398 414 356 397 241 506 184 615 633 540 688 656 2 645 1010 235 613 388 903 308 635 699 585 172 353 931 849 861 914 458 182 327 159 61 238 394 282 917 883 267 417 686 665 85 170 876 747 82 247 1012 22 730 788 874 412 695 530 541 489 

   z2_pi: 293c1a0e2a011e2c424017351b0f3f1c212631523a43453e4c463d0c22054713142d24442b3330500a0b074f3237004a15413b021f12253438094b1d4916192320280d4836184e2e2f39110627514d08030410

   z2_theta
    z2_theta seed # 1: c5a221c9259f7b715d0379e8041d283c
    z2_theta seed # 2: 0f0a6955167b789d208b877c8c1feea4
    z2_theta seed # 3: 16ebca785ade16fea40b7348ff4639e5
    z2_theta seed # 4: 346dec8440df165dd301818a4f99edd4
    z2_theta seed # 5: cd9207ca0673c2b86707c6a9738d84e5
    z2_theta seed # 6: 25275748a3ea0be6b40f4ba8003d97b1
    z2_theta seed # 7: 735ac706631e4e05f7cbbc0f1055f768
    z2_theta seed # 8: 77d8783fb3c4481a0bcd5707c6aad663

  cmt_1_alpha: b730301aecd71806bffdfd02b8dc0ff3cb59e62c563dff9ce6651920173b4061

  response round 14

   z1: 214 319 17 537 647 269 944 193 625 380 1017 447 723 1 760 25 100 142 469 385 80 231 176 574 10 263 382 711 57 96 680 536 568 599 117 680 770 757 441 324 264 460 129 687 358 507 647 214 729 995 25 796 23 764 682 328 493 293 457 373 370 383 201 823 409 942 624 456 954 133 602 401 565 837 58 216 831 170 631 99 398 498 1013 

   z2_pi: 43320016081c223501360b05021f472f3d424033373112272c14090f4f2d0d4a382a2b040c240a0e11393f1b291e1a301018492620453e48195215034e253c5006513428444c2e3b21414617131d4b07234d3a

   z2_theta
    z2_theta seed # 1: 49e6d5651ecf53b74cf114fbb6264302
    z2_theta seed # 2: 79981330c4e9c0f163826d2b968928a6
    z2_theta seed # 3: 629c0f63b3db719760dacbbe6aa6642b
    z2_theta seed # 4: 4399b9a5fca3bdc00e6e7353bb5974e8
    z2_theta seed # 5: 56ba902dcc86b5daf10fe8cefca3a63b
    z2_theta seed # 6: f1f6aca51b3339a1d8a30a55618bfd72
    z2_theta seed # 7: fc8726b77904757d4cf9e1e57593c5ee
    z2_theta seed # 8: 4e28fff374e88520264ddb216b8a3b7d

  cmt_1_alpha: 8ecb7629e647f6e42b2e20aab0c49d6392778dfee3c638e7d57640aa76c38f51

  response round 15

   z1: 200 455 586 990 243 548 578 276 941 92 196 959 899 668 122 413 575 653 668 987 270 477 803 134 952 883 41 529 242 705 125 685 58 276 567 135 890 285 28 368 8 990 88 199 138 791 272 452 641 1010 151 604 807 605 810 1002 797 501 56 615 418 176 170 698 152 312 933 702 654 462 18 284 899 613 812 1004 476 25 887 759 229 931 755 

   z2_pi: 5131084f1c3237520c12140550272449044d02293c22170a0e4c152d4b1f40460923332e010313004816473a2b412c11254418392045360f260d210b3e30191d3b35382f2a3f281b1a1e34434e074a10423d06

   z2_theta
    z2_theta seed # 1: e9f5a2bd5c38ebb8fd627deea8f2d34f
    z2_theta seed # 2: df3b2dc5f52cee55a2cf1e1511a579eb
    z2_theta seed # 3: 73378a014eece5dcbed87d568cda30aa
    z2_theta seed # 4: 64bad6e5ea6c15bb207c34575e68939c
    z2_theta seed # 5: 9c3b2ab294aaea814486fddad8193e3f
    z2_theta seed # 6: 171b801fd36eb9ae6dd65534f4f8dbc3
    z2_theta seed # 7: 3c48cd3bc65346c62746c61a695ba846
    z2_theta seed # 8: d5e46e713e8665054f557c406e9e6f88

  cmt_1_alpha: a94acf44d5ce9a8dff9cb4b5c30f7f9e93280e0dbab9ff556569767018f5a393

  response round 16

   z1: 273 441 89 216 476 828 671 651 1010 978 217 382 842 349 651 1016 203 404 555 816 456 118 692 586 328 18 702 633 788 195 584 516 660 800 301 17 102 397 472 869 697 306 449 322 218 288 412 949 911 436 945 324 1008 325 902 456 576 496 924 582 678 842 962 167 593 143 401 889 106 961 262 162 259 911 507 976 148 645 33 636 222 405 776 

   z2_pi: 234b2e305131465018251604450049394020121d0c520b2c1a4e3c362d0d053429193d38094a3f031f4247350f2a282b0a1148074f08142743221b21263a41171c242f024401333b133e370e101e06324c4d15

   z2_theta
    z2_theta seed # 1: 15a81852e4fb912936acac1af864341f
    z2_theta seed # 2: 82b3c9b43f89d7e39623049a0ee87cfc
    z2_theta seed # 3: ce1bddb2dab75d0e5c4c45f674590ed3
    z2_theta seed # 4: 1bccfcc78db4c22651ccc408f9a43bf0
    z2_theta seed # 5: 58aebc6b99b35f0f8e43f7e0f7848c65
    z2_theta seed # 6: efc2ab76efde5f747987187558330736
    z2_theta seed # 7: e532f6220ad96d9b57b5d15917d323b1
    z2_theta seed # 8: 3f4014dc801d93ce69767aaacb6afc88

  cmt_1_alpha: f1f501eb0020c826e22972488a58df6f565317e7f95485a8e17c187826ba4e44

  response round 17

   z1: 971 20 738 649 830 563 446 433 165 611 1 232 247 146 594 959 159 120 94 702 97 777 206 139 63 5 84 640 498 427 903 264 506 330 86 918 87 857 814 618 465 272 328 218 487 921 980 671 111 877 989 856 681 381 331 731 143 621 461 228 563 796 862 718 122 26 22 347 794 266 974 166 147 989 828 426 714 350 392 1005 971 748 213 

   z2_pi: 344d2b080e00471d1123420c31461c3b4f1f414952350d0426454415482f10133a02033e4b3d253c01201739122124192e0b220629302d51284e0f430a09383314271e4c2a075032373f1a364a1b2c18051640

   z2_theta
    z2_theta seed # 1: d2819c531cfb510c5f29ed70a93f64d6
    z2_theta seed # 2: 73ab8271a71cd87523354a7849f8ace9
    z2_theta seed # 3: e9661eb563f72c1d2863b5934c22c722
    z2_theta seed # 4: 6aa452f7c542475364400fe355ef9866
    z2_theta seed # 5: a9169497243203befdf99dd95ecde3b5
    z2_theta seed # 6: ca117699a2ee5359d95f70b8b9ca7da8
    z2_theta seed # 7: d7ef9924051ec492edeb4f082c8fedb1
    z2_theta seed # 8: 535037fe5bcbd2c33a18e0981c7404b5

  cmt_1_alpha: 8b6fbffc090daafb39ae76d8786d936af36490b4bd990e6390bee724d08f6786

  response round 18

   z1: 968 204 10 81 187 503 860 672 394 399 609 582 300 291 784 276 424 569 513 53 524 72 946 105 705 289 911 249 890 796 386 738 87 948 422 38 1007 784 984 595 843 350 166 34 492 697 988 941 485 987 781 1016 325 565 14 978 182 21 312 550 265 351 172 235 397 876 973 184 981 287 319 938 437 446 214 492 228 957 118 314 658 919 311 

   z2_pi: 500d460f38202e3243130b304947310934071b4c4b1c21180c191d3b4d51014a23262a422d224540003624394f053e061a023f1e353c3a112748251441045212281629101f2b330a1544080e37174e032c3d2f

   z2_theta
    z2_theta seed # 1: 95d40255e0d7054aa7277577bbd8049a
    z2_theta seed # 2: 0026fe95486b2827b65b0f9c9c89d786
    z2_theta seed # 3: 24f3ec38aa0adcceec56c034dec5a832
    z2_theta seed # 4: 52c86bc794ff1d76d88531969ad530b4
    z2_theta seed # 5: 31e5d8abdd94560e413af2a55c93ced0
    z2_theta seed # 6: 5c5b56a6e0e09adfb6a82550d0d73e70
    z2_theta seed # 7: 592a6ec74a8bbc27a3d8cc69e1cbbef8
    z2_theta seed # 8: 3e33659c6ac74128940959f09d229907

  cmt_1_alpha: cec1ff36546a6dab81bde8df1d9b8369b47217e3e070b3615e957edf665ac80d

m: 0000000000000000000000000000000000000000000000000000000000000000

sm(CRYPTO_BYTES):
5e2cab5b5766a64515d7c7ad3eb675c0fd08eebbebbe669bae6001865438d89e
72a92b9ab46f5c9e54423ba7280c6147a5f1d53273311cb010b1b8940c4ec5c6
50058eedc1a8c078a9f9f156e979b61b4102384d3580276c21ee4b6ea91d60c5
80e085d0398ff5ea07fcaae367a665e701a975fbe808b363ff0b71878fc77d3d
0cba288d1f9dd662e167a1bca800844e7bf52815cbe6a23f788e5cacc56641c8
6917482032a4ba7c91fae96dd57458c0537adaea1e0ef44e82f83646ae119240
a33a34964deb2420db100e6e2eb15e53eb2abef564691a31cb6fa84308dff912
9cd6ccd7250ba4ff8db6d8a1f2d25da09dee79cdc3cccba23a0f9bb9d68ad2e9
a3459247dcd0aaa9b005cce7b75d9aa25b169ac34055ef1f0af6b067757f09f4
c445d0908cc27250c2f95b8fee15b4af65e8e7c6ca055e1138462b8091af8baf
546220f855434bd3506b604ea2759ee1e429c3a9f32da45660760c1e83252a35
98fe858dbd7a9ae0b425d8378cfc51f83ba2b5e11ddaf522fe9200e75c0591e0
9b8d93c9c6c247639d01e8450600048fc694cfa51951d2f538c525e650978b54
9e0ae7de75a0e756dcc85efa85a0ad2ed42fa6a41b3b4aeac7c3ee984a79928d
de8df84fe09e3eb0d28fe8a76d46608f278094cf8702ce60d3f563d58336bde4
44758cfb7369d14cea0fb454a0b79b7bc4da54320b792511542f2f3e83d8e283
b12b9196c77b06a1b7ea27ec07c47e3e0b5c759ff2f8276e1ccaafeb126d742e
720f1092c855e425f70ea5e23d61b1ed66f92ccfffa89a98559986e7fad8473d
5bce572be229c10652fbcf8cbefee3841a9197576dd6214872e2090ac527b28e
3b47fa9fe9fc4a24932cf7460a0f2da50f3ac9ef93741c35a3da93a966d369db
6ac46f50a6b40aa5c2617869ea8d977afaf2a5d4d3fed01ab7c0abd6b14bfbd3
c90279aa42f4e5503c485a0ab26ab34eb2f3961dcaed07b1f8844100aea2c3d8
a8df7871ba6bd8718bace62770102fce183b56e9deef037eef873f0484db66de
db69db0af626237567bd60c58abb790cd8956b4dd7de0ee6f1f3c056a06d564f
fb2fcd7577b567bd93c9547dbc533b5febdfb3e4347d676db95bd5e258b40038
7ac53d2a55193a3b5e943b78d3f8c96f8962e18515d11fe506f57039a78e758d
d048f55735e9a92e297a14dd5379c321909e5f3b6eb95a9a7d690df84fb8a609
93e84415ebfc0d6c44b2a9d62075a00a9e77852e6a161ebf2cd37656aa42fd54
3b6df0219d36a383f740878a7d16ea0b3f006f25770cddb2d746522c163436ac
6f27b8aa47000b03810b75562cad48df5ee894749828afa62e76873f5a106d96
723074ed39d6a3e0b8115b8e1bc8a466192b7b9b32a2299d45508d59b4b0cf23
54ce06c849100703f6db4858969e8d42a0bbc7f68c7efbc2997a5bb75e7f8bb2
67921120bb77ed2e7b8862804861cc924012a1ae74e26ae0849131aa58c306a1
beede4fe86f1b25755c9fb6c577d44181e09a359b3ae9fa72e44f7d481757b9a
9f79a9b151251beac2f8aff4bb1b0266a849580041373e4731c0e4e1c86a5b50
ca1bd6c2fc8b52409be77904a3fb4eec2780688c3d03366d671b92cefcbf5c83
5f347d43e2057386610479d633b2a7476fececdc70548dae85a687c1f8c9187e
af9c9bb1ab472a78d411be06be62ef6a80fc0c853c5183f54265a064fbae3c4f
9799911ae056511c7f77122d3d84f709a2879609d019b4e593f8128a862d2cdb
25fbe188e2e84ca407caa14f157866eb58fc8dabb9e15397e9ae54989e7932a2
dcf2b62dba5436e31dd1b1fe1e0d8800475c156643ea7caf1f6be8a1a38e9031
ebcd2baa617d72bdfa85b68f0d35e5dfc2e14b73fb067c16167ff5537dae0361
58e84236f14982e58c06c8dc62ca928d61562a7638e3f042f32efa38fb2f0c81
3b61fa8392ebe2f07bf754e79b59fac7d8f459f045dfbf9fad0d1d2a284a9cd2
ef86debe569b5b0dce6f6f4dbcce14e36ae6e66d4b1b50d26bcf6a984ba061d1
6c3a3db0825481ccabcdf68688f91334c2ca629a316e60a8df4994ed528fcc74
ddcad74394e44f83cc759313e3f8443cfec1a0ea7cb1ae614260940778659967
a4d4c3fe6dc4f1a728c937039e6ae5d998d58bce9bef5f1a4e877323c4d2726b
50219919aec18515630b9251f35c3dee2127420c564d6a4a85c8758e855c61f4
4cf5d7e0e64697525f445a128def55a6a05f0f4a9e9ac64c7bfcbfa7d4bb3664
3fa0ef35541559344f7d64998a711056c13d5e92edfcf59ad79072d2a80d41d0
48ab7417922d59e5b56b499896949648b931352df381200233151ec8b4342d8d
c135e343e1e54a3fe31d52431b604810811c1f1d4d678108954c2b371e2b6716
8595b89e1176380cd403f95f8127d8b23cb680f14f94774bf8a0cbcd97a733eb
4ca89841017fddbc47f04a0b0b9947090298774bd9c8d899e447d2e0462d095a
317c451b887b94fe0a80fd6b89c6e177b2d22a5c6ead4188977b871c366129b5
3fe46291fa51a1d787652010a591ccdc59cd067d30fd450ef3d54a10376182f8
6d1c28bba24573d2e3ff214dadb08d8bf4ffc99410585f3105401e7ff3d2b623
b186c3e696eb6311e750d415f8cd88fdf7d45645cdaf1b0e2c2e5ed7b58e589d
a4fe88bbf973395fbd804c75f32ee11eaa7edc47d0f6832149736d5e4563fde3
da1e1e6f7956e230297701fb75a96f93c086aa79b01ba2827c1508d2f3ac1ca6
47c8188d9c777f67489c874d2f0c8a5aee126691137f82b4eb5859c4a8448952
0de6a202b9c8776f36840fae0923e209da62e56eb786fa77270d028d0b45af4a
b730301aecd71806bffdfd02b8dc0ff3cb59e62c563dff9ce6651920173b4061
c5a221c9259f7b715d0379e8041d283c0f0a6955167b789d208b877c8c1feea4
16ebca785ade16fea40b7348ff4639e5346dec8440df165dd301818a4f99edd4
cd9207ca0673c2b86707c6a9738d84e525275748a3ea0be6b40f4ba8003d97b1
735ac706631e4e05f7cbbc0f1055f76877d8783fb3c4481a0bcd5707c6aad663
8ecb7629e647f6e42b2e20aab0c49d6392778dfee3c638e7d57640aa76c38f51
49e6d5651ecf53b74cf114fbb626430279981330c4e9c0f163826d2b968928a6
629c0f63b3db719760dacbbe6aa6642b4399b9a5fca3bdc00e6e7353bb5974e8
56ba902dcc86b5daf10fe8cefca3a63bf1f6aca51b3339a1d8a30a55618bfd72
fc8726b77904757d4cf9e1e57593c5ee4e28fff374e88520264ddb216b8a3b7d
a94acf44d5ce9a8dff9cb4b5c30f7f9e93280e0dbab9ff556569767018f5a393
e9f5a2bd5c38ebb8fd627deea8f2d34fdf3b2dc5f52cee55a2cf1e1511a579eb
73378a014eece5dcbed87d568cda30aa64bad6e5ea6c15bb207c34575e68939c
9c3b2ab294aaea814486fddad8193e3f171b801fd36eb9ae6dd65534f4f8dbc3
3c48cd3bc65346c62746c61a695ba846d5e46e713e8665054f557c406e9e6f88
f1f501eb0020c826e22972488a58df6f565317e7f95485a8e17c187826ba4e44
15a81852e4fb912936acac1af864341f82b3c9b43f89d7e39623049a0ee87cfc
ce1bddb2dab75d0e5c4c45f674590ed31bccfcc78db4c22651ccc408f9a43bf0
58aebc6b99b35f0f8e43f7e0f7848c65efc2ab76efde5f747987187558330736
e532f6220ad96d9b57b5d15917d323b13f4014dc801d93ce69767aaacb6afc88
8b6fbffc090daafb39ae76d8786d936af36490b4bd990e6390bee724d08f6786
d2819c531cfb510c5f29ed70a93f64d673ab8271a71cd87523354a7849f8ace9
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a9169497243203befdf99dd95ecde3b5ca117699a2ee5359d95f70b8b9ca7da8
d7ef9924051ec492edeb4f082c8fedb1535037fe5bcbd2c33a18e0981c7404b5
cec1ff36546a6dab81bde8df1d9b8369b47217e3e070b3615e957edf665ac80d
95d40255e0d7054aa7277577bbd8049a0026fe95486b2827b65b0f9c9c89d786
24f3ec38aa0adcceec56c034dec5a83252c86bc794ff1d76d88531969ad530b4
31e5d8abdd94560e413af2a55c93ced05c5b56a6e0e09adfb6a82550d0d73e70
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20574b97846ac4038eb305eb54e0169db6b1e4fc4e10f21e69e3cf19b3031d11
dfc4853d1d2881e71be1c80b54e2088fc1fe0aba666b894b8a5b764432b3b511
cc730903d0990bd2a738d271ccfa13df3c3bdf7ade2ab67d06e5b710ee259408
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abef5c9202e600add384e1d3e817c808b999cadaeba129bf98aa04347da625ab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### SIGN OPEN ###
Done

