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

n: 79   m: 35   Q: 1021   N: 256   tau: 20   Sec: 128 bits   Public key size: 148   Private key size: 164   Signature size: 6251   




### KEYGEN ###

sk_seed: f9c129948d41687478431362ce74a0ab

pi: 0c09362046342c4a2b101f4925061e4d393d4e0a1b1217032802043e213c07010f321c310e2e2d4145233014083a1a37002f0515113b484c26420b134047352a3818161d4b3343243f22192944270d

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 


x
 x_1: 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 
 x_2: 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 442 794 069 000 172 711 109 052 849 099 137 265 419 454 116 350 778 549 493 888 102 509 472 130 233 252 596 495 214 988 519 878 952 169 334 087 439 523 482 014 864 647 692 445 061 452 526 168 466 449 814 624 868 
 x_3: 954 372 988 146 938 584 468 520 073 666 645 648 228 901 340 378 634 313 409 018 372 999 615 637 384 612 202 545 370 237 259 369 686 011 920 983 477 829 833 878 563 394 778 848 824 881 951 228 455 478 451 373 418 470 801 311 946 159 955 948 595 212 165 255 266 621 816 400 167 702 516 942 200 564 882 854 368 355 253 


y
 y_1: 124 478 339 978 446 115 755 297 816 165 869 860 726 642 527 072 722 354 111 458 601 640 871 341 145 442 376 780 420 386 187 957 359 243 985 
 y_2: 148 361 588 323 137 557 801 976 184 1019 398 959 163 1009 302 355 985 402 240 1010 281 763 188 1003 347 733 173 976 864 285 110 201 933 178 945 
 y_3: 221 278 582 017 709 470 555 230 779 994 106 222 476 607 720 690 165 264 302 974 826 809 673 384 324 783 223 061 566 233 356 378 318 647 643 


pk: 91618fe99a8f9420497b246f735b27a07c783795f4becd316f4a30975236d7d60afa2012d28af5867259027a765591e88617c3a409b64bef67cd933d2569313954222d860c3d2efb3bf6fb28f1bb3456f692c1237f46fbf2b2fe56ddb6023dd81db9914ce9b2c4de8d45464650ac752b9ab3b0f86a78c3dd97d0ca5a0a422e39af73caa10246d4c3dff460633a64e9e5d3a18302

sk: f9c129948d41687478431362ce74a0ab91618fe99a8f9420497b246f735b27a07c783795f4becd316f4a30975236d7d60afa2012d28af5867259027a765591e88617c3a409b64bef67cd933d2569313954222d860c3d2efb3bf6fb28f1bb3456f692c1237f46fbf2b2fe56ddb6023dd81db9914ce9b2c4de8d45464650ac752b9ab3b0f86a78c3dd97d0ca5a0a422e39af73caa10246d4c3dff460633a64e9e5d3a18302



### SIGN ###

message m: 0000000000000000000000000000000000000000000000000000000000000000

mseed: 9b4e441bd6a749877799fb711d6d1f45

salt: 5e2cab5b5766a64515d7c7ad3eb675c0fd08eebbebbe669bae6001865438d89e

 Round 01: 
  theta: d13f8022fec1a404ee3f782351963105
  cmt_1: 18023d9198a687adf97f730f644ceadb27f973ebb67ffb5911f21886388426ef
  v: 123 323 258 917 876 483 280 599 148 577 235 172 794 996 858 25 452 596 801 521 949 381 48 2 599 658 728 824 105 369 929 60 892 919 19 841 987 586 730 632 25 926 539 170 636 199 438 292 799 411 874 955 589 701 700 698 854 658 302 472 738 351 747 366 68 232 980 513 989 571 3 538 537 653 235 496 91 860 700 

 Round 02: 
  theta: 64f71dbb0a743ca41db79cf422a29ff2
  cmt_1: 9ec932461a6143306c3317908aa6dc4996362bf5cfc70bb2686c89e42d2af532
  v: 334 1008 714 397 100 890 724 492 3 771 518 775 720 210 87 909 665 447 209 446 73 299 438 820 643 858 39 567 688 981 738 142 687 559 365 844 630 822 585 39 934 556 744 75 40 163 111 957 669 497 550 299 585 269 712 456 899 414 937 133 100 737 259 777 378 61 993 118 717 96 882 674 705 607 983 516 178 36 785 

 Round 03: 
  theta: ecb9388bd5e87b3aef17b9d185a1c0f9
  cmt_1: 9c8746c428cd925e62df201045bbe7fbbc7f1f98f6c8f3f763138874ab6111af
  v: 553 678 766 248 990 127 886 832 20 718 243 992 57 284 425 347 415 370 357 925 1001 858 174 931 674 81 731 793 733 977 382 949 443 895 61 176 188 139 131 594 253 170 366 277 945 252 681 581 944 652 166 865 598 499 783 223 814 395 799 408 593 854 372 97 709 647 585 899 286 727 66 14 439 350 670 482 853 168 151 

 Round 04: 
  theta: dbc243ef2c0cf0d24329be9e738b4f17
  cmt_1: f2b82bfa79ac74e20fc52565e28454b899a12f5bf3ef0685303d17ee6de83460
  v: 379 944 1017 932 624 781 821 51 101 976 522 326 504 510 250 987 302 160 635 141 365 300 405 466 419 143 632 392 892 706 664 979 794 194 305 478 468 145 905 56 580 948 896 33 892 595 287 811 808 915 888 611 917 179 147 190 840 643 681 548 453 281 697 750 595 745 164 819 345 870 777 126 897 874 235 19 657 920 675 

 Round 05: 
  theta: ea85653c35c8518679c0508a38165eb3
  cmt_1: 6587952e59b24c4c362bd1bc691b1b1c3e01f9f1e0f079060780572a1ae4f4dc
  v: 116 56 811 552 295 216 624 72 626 922 699 55 83 432 1020 955 443 101 374 235 215 729 988 593 924 987 898 543 356 642 471 907 646 521 101 36 182 458 611 73 68 370 549 195 438 15 927 946 154 10 537 342 8 76 660 103 284 360 982 389 425 290 621 393 732 222 402 534 562 322 348 862 144 768 547 897 736 906 711 

 Round 06: 
  theta: 782cdf9ef19bb95c5f12e232fc90459d
  cmt_1: aa913b00375cd7f912784f920b5ffcf5f84a20d1750e2d5d913ec6fa099843ce
  v: 262 370 654 788 732 908 587 476 105 625 603 302 894 961 587 607 15 866 95 105 88 493 24 943 19 82 517 685 535 567 886 372 703 579 769 639 977 365 501 192 128 141 1020 265 142 950 334 841 235 210 163 967 810 252 925 264 998 446 672 165 556 276 337 780 319 645 391 489 951 703 57 341 750 226 158 882 73 687 667 

 Round 07: 
  theta: 8c7379ef25b73d091fa613345ddba229
  cmt_1: 349f28502440aff68092709dde8dae85767c113f5f4f59eea3ac4f7b2474d3d7
  v: 197 222 251 920 534 512 687 568 32 761 183 362 435 832 218 327 449 233 785 682 98 182 127 699 643 785 848 5 475 33 110 656 595 489 103 392 917 297 630 338 374 869 650 937 295 13 148 788 465 566 289 218 158 201 250 303 435 428 890 183 92 207 237 219 152 609 5 239 816 6 710 245 196 914 624 377 339 3 571 

 Round 08: 
  theta: e235c042bdd412ecc6baae77f7bfed1c
  cmt_1: 83632bcb506f71e841083aa801a542275466b87dd1528b90549094fa32f87a72
  v: 36 465 737 684 769 283 91 761 736 485 591 508 114 473 393 510 776 757 201 761 998 36 50 439 919 854 318 749 128 562 179 11 497 561 640 773 1019 622 699 760 118 947 911 567 622 670 891 35 361 552 587 498 160 588 939 286 296 785 123 688 588 661 414 1000 15 769 456 787 905 470 287 625 215 908 460 908 427 383 372 

 Round 09: 
  theta: 560a6aafda8d4b62fd8c92b57400a0eb
  cmt_1: b348b49940b8a3df9cbc64f63d7a727af72050fe2b3fe21ef8b1e7dff9097cb4
  v: 394 843 958 982 305 234 349 767 459 160 392 631 653 999 940 551 767 560 712 851 825 831 217 406 848 496 195 724 969 151 760 159 380 856 3 190 73 404 785 1 188 149 238 872 715 124 899 648 982 565 416 241 720 112 894 939 981 184 720 592 618 262 934 932 329 825 37 290 986 112 861 984 520 161 35 331 1010 640 318 

 Round 10: 
  theta: 8d15df35f2703ff89a8f56ff85f84e04
  cmt_1: 1b1640a95646c603f1cdbb22a6d486e4bd0b5c139addfd4895c2c34e5230cf13
  v: 304 311 890 223 614 640 888 677 707 264 115 659 116 720 943 6 585 141 973 903 592 1003 415 997 204 954 908 350 103 174 712 405 835 212 381 343 254 927 154 147 920 54 756 547 856 21 718 533 932 664 408 646 115 735 821 880 899 177 778 284 142 344 289 594 582 994 106 834 38 467 578 293 332 616 206 366 737 617 201 

 Round 11: 
  theta: e51d2f7f6d118f007ed0cfae5d693095
  cmt_1: 5fa9b2bf3b6828da2fbe4c660c2532b1ea9583f62a352b4944b827598b3eb111
  v: 431 928 962 746 626 382 62 710 972 127 77 615 0 189 51 447 999 645 2 47 512 765 672 439 7 365 98 428 281 363 433 190 631 463 181 806 903 771 969 994 497 873 866 953 214 293 919 330 773 996 62 818 563 967 830 672 847 825 992 422 925 862 1020 991 29 516 621 437 521 452 860 798 113 200 690 722 779 283 374 

 Round 12: 
  theta: e9012ef8fcb0bbf35d6d8ae10563c1e0
  cmt_1: 2bafaad141fe2dfa92a1dedf79a76c0a6b7c11e4182f53c913f9474ac798eb6d
  v: 473 581 263 793 65 932 448 259 170 614 103 819 1011 426 266 16 877 532 267 56 85 715 598 829 75 686 861 609 190 1013 202 121 368 163 838 899 747 745 919 858 963 569 327 857 668 523 893 709 134 690 466 813 639 212 98 433 281 698 948 769 549 75 458 942 364 204 503 86 645 1017 308 535 355 800 579 686 776 330 637 

 Round 13: 
  theta: c25902dcc6bfc5149f5d25c7bff1682d
  cmt_1: 5ddaa738df2a306a987f9873babd1b4df22b1a6cc84dce23647179d7abf3388d
  v: 489 529 298 829 675 228 284 350 54 542 492 743 657 632 442 83 433 101 809 730 713 59 110 132 610 162 918 189 15 492 964 817 808 412 322 530 200 922 644 965 819 841 677 773 873 325 234 511 742 204 304 843 490 501 158 722 18 970 417 721 703 340 839 959 297 1019 855 328 191 346 985 365 213 537 598 775 815 647 588 

 Round 14: 
  theta: e431afcad2c7701e4c8fb6f3c7aa1a73
  cmt_1: 37d050d5929fa38c8801160a0167f4afd1fbbb6c96772424072a59fa620ceb26
  v: 963 561 717 779 779 698 23 73 916 711 874 876 702 564 462 1007 13 459 249 517 293 532 433 23 72 520 708 201 885 654 363 763 627 532 948 226 298 429 98 481 302 847 574 589 222 755 689 255 649 115 626 650 353 130 301 1010 243 628 672 228 935 934 336 951 660 953 673 599 648 80 104 1009 657 786 751 996 641 573 900 

 Round 15: 
  theta: 143d1ca7630d4823f7e36642cbce15bb
  cmt_1: c398c31bea07b75864b87c5b71df197e5aedafd903556d881717367147b6a327
  v: 719 396 547 882 375 313 382 754 270 607 485 612 660 5 833 69 450 385 911 301 965 751 396 459 153 68 618 874 120 950 637 225 256 15 944 510 711 580 785 656 848 554 625 378 61 687 238 722 484 679 849 595 965 408 1008 571 279 917 82 309 158 538 90 547 49 994 389 475 109 441 362 124 344 864 27 981 552 784 696 

 Round 16: 
  theta: d5b15efed7829e3d8ae503cb3bc6f77a
  cmt_1: 4b453c2fca92fcf480bc0914d096e135234871e912a3ae89f8505fd733711dd6
  v: 559 310 205 10 351 63 532 473 333 21 628 858 553 32 161 934 547 964 244 576 715 533 652 939 440 555 112 87 618 198 538 445 877 443 572 233 391 612 410 551 375 755 198 210 830 744 994 283 461 370 560 702 970 647 326 237 534 563 100 175 424 1000 495 415 1013 134 550 690 81 189 301 307 69 268 41 769 152 394 306 

 Round 17: 
  theta: 8157170ac18fdc7d27287b4807cf1b1a
  cmt_1: 4dbdc216fa08ac0508a5d5bb41b641a074480f37e533f3ecbdea92b2ece87761
  v: 696 534 319 366 294 205 598 739 180 910 1002 837 728 312 389 859 952 768 229 512 507 842 134 250 456 212 881 490 789 419 940 747 10 983 754 927 352 393 836 1000 377 247 974 223 733 722 551 94 938 150 918 38 932 181 406 147 551 777 971 151 633 602 738 690 911 825 521 309 442 197 59 644 716 207 59 693 37 36 266 

 Round 18: 
  theta: c3e6ecc59ebb2c3b419224c7b1831711
  cmt_1: bf1aad24e934e3b0c79dd6d15ead7f7f4eada02e8e346d52d5b3e218dde81173
  v: 652 17 826 548 400 821 684 368 485 232 825 307 852 671 201 132 1017 289 461 948 599 276 981 989 48 986 203 143 714 755 724 797 752 426 676 764 581 412 39 462 156 678 385 278 788 153 158 939 767 516 777 141 718 509 683 865 840 39 665 688 463 599 768 353 633 914 20 977 572 598 585 259 306 832 346 394 845 40 117 

 Round 19: 
  theta: 599f82602685ef09f9d9ddb62654d539
  cmt_1: 005ae1b4746ec5eb25b3419f1759ce8d1b629fcadc3724f20d5f6515c5575530
  v: 841 76 258 563 729 607 617 400 544 347 826 206 594 99 213 160 910 364 497 212 711 850 748 118 391 58 8 309 128 607 247 998 363 968 980 418 140 975 582 591 191 310 401 913 863 174 104 225 751 318 530 54 2 315 929 202 517 49 402 121 372 150 495 197 576 243 168 528 806 855 115 623 146 377 953 718 50 767 955 

 Round 20: 
  theta: 2f894ffe5fa60704f00a851b6c8d9093
  cmt_1: dfa998f0f084ab6f4b34c49d153152aea197206a05a8f157a1a48d7a77af74ac
  v: 724 842 43 487 563 17 910 334 930 368 714 759 562 790 521 309 79 658 528 319 290 592 475 439 323 721 615 311 948 94 682 242 776 733 473 234 469 179 469 474 1020 57 686 411 761 121 923 1000 209 701 501 173 771 678 855 667 991 374 706 850 782 20 668 410 594 462 267 747 276 515 210 746 36 822 300 697 623 308 669 

challenges: 

 kappa: 
  kappa_i (round 01): 654 005 953 
  kappa_i (round 02): 868 964 655 
  kappa_i (round 03): 910 415 313 
  kappa_i (round 04): 462 047 053 
  kappa_i (round 05): 368 319 570 
  kappa_i (round 06): 601 290 686 
  kappa_i (round 07): 863 173 832 
  kappa_i (round 08): 625 504 413 
  kappa_i (round 09): 995 035 863 
  kappa_i (round 10): 247 564 472 
  kappa_i (round 11): 216 444 242 
  kappa_i (round 12): 829 259 399 
  kappa_i (round 13): 643 782 927 
  kappa_i (round 14): 988 324 489 
  kappa_i (round 15): 936 142 956 
  kappa_i (round 16): 205 253 254 
  kappa_i (round 17): 657 940 232 
  kappa_i (round 18): 911 998 080 
  kappa_i (round 19): 603 580 766 
  kappa_i (round 20): 1000 721 798 

 alpha: 86 162 105 55 217 225 235 215 23 95 168 86 131 79 191 37 80 81 217 56 

signature: 

 h1: 0c4c37b89c6d88eea5974ab687f7efc60823aef3bdae1f1cc78338fc275bef2a

 h2: 325f6cc7c732b50b89439cfa21fafba09cb777415dfade779a6f045833d496fd

 responses

  response round 1

   z1: 1011 69 299 272 561 705 751 464 22 127 464 702 589 323 346 938 298 947 692 34 682 775 673 790 351 510 439 700 872 1008 708 590 864 745 126 931 428 371 915 766 702 90 715 78 552 898 142 87 29 630 785 554 322 655 965 60 399 124 517 781 526 564 444 574 1006 674 194 490 461 948 472 274 52 948 409 382 140 507 129 

   z2_pi: 12170935340b2641290f2c020e452f0d3113101e162b0c04054c2a033243181149002e36243f282d3020151f471421443c1b4833373e390a1a27424e4b23014a08253d3840072219463a061c1d3b4d

   z2_theta
    z2_theta seed # 1: 0cba288d1f9dd662e167a1bca800844e
    z2_theta seed # 2: 7bf52815cbe6a23f788e5cacc56641c8
    z2_theta seed # 3: 6917482032a4ba7c91fae96dd57458c0
    z2_theta seed # 4: 5f7593b8a0920a2a94b09bdc15d59822
    z2_theta seed # 5: a9928325be471bd941712985990761fd
    z2_theta seed # 6: a202c4d1ca64ac465890d7ed6377d86b
    z2_theta seed # 7: 46332752da90eb6281ed3f555fbb2df2
    z2_theta seed # 8: 7b0503c1058dd1fd12e9efea64b059bd

  cmt_1_alpha: 5efbf27387040bfd3b1177e0e6011dc4231167e501d9a4fda974af0d3077cd74

  response round 2

   z1: 241 87 341 649 722 521 140 615 638 330 211 630 791 753 476 623 112 740 879 960 542 209 720 988 645 779 134 671 541 603 410 825 981 159 879 221 445 639 860 445 380 479 318 364 296 505 607 563 613 307 864 283 791 249 1013 189 298 496 479 172 674 740 1017 822 40 245 433 581 654 175 266 744 612 178 584 673 891 96 781 

   z2_pi: 2e153147333f2129401220361b4b390b4149283714061c4a4c3007181304094d1725100123053d11032b4245243e2a322c3b3c2f22271e4e0a021f0d1a4438352d1d460f3a4808260e43190c160034

   z2_theta
    z2_theta seed # 1: c445d0908cc27250c2f95b8fee15b4af
    z2_theta seed # 2: 45d9e291c6991aa0bf788c6399f952b2
    z2_theta seed # 3: 9c96c7fed8ac7d5735c1759fe85645d9
    z2_theta seed # 4: 747c40372cfcbffc40842969e7607e49
    z2_theta seed # 5: 9621e08a77b8b02528df753c83a72b38
    z2_theta seed # 6: 8529c3ed7866d563daa1e03ccea8b28c
    z2_theta seed # 7: e98e81049cf3c69e3e8ffb752de4fdd5
    z2_theta seed # 8: 76b049ded0c6fc132437b3cb5127c07a

  cmt_1_alpha: 927d9f306fd3bb4edb97f43dbe18a7dcb3f7bfc20e5676b210b106f71a73261a

  response round 3

   z1: 42 31 22 798 916 666 235 614 685 345 180 510 882 1002 869 667 1 947 35 234 437 728 902 310 393 744 871 948 182 295 438 803 794 605 548 916 942 626 1002 717 261 776 136 832 325 482 401 112 534 717 729 539 961 784 857 279 616 59 981 396 602 414 505 660 27 931 150 67 535 725 32 247 594 383 757 853 941 148 162 

   z2_pi: 020b394726490f3b193f223d3a4c070944204a1e0540080e41360432174d2c10012f3c00423016131533244e291d0d210c1f03122e3134381c232a2b140a433e37254827062d4535111a461b4b1828

   z2_theta
    z2_theta seed # 1: 3cab82cdc64af1e5cb0d4fda60a53b79
    z2_theta seed # 2: 58a24a827aeb9dca872c2ea622c3dafa
    z2_theta seed # 3: 96aab6a913b21dba2282662520cda426
    z2_theta seed # 4: 238a11b8605489c19be694c8c3f0ec8e
    z2_theta seed # 5: f53e3f95c39f9f9d0ef2d1717f22bd19
    z2_theta seed # 6: 07c3a8898105d4d050f689516d092d63
    z2_theta seed # 7: df8f60428a4273ea1b8284773de97ae9
    z2_theta seed # 8: 7322f2fd5e691bc3d4d15888fd53b38b

  cmt_1_alpha: 3c556925deee196c5bb7a7392c7e177bd9bf4136f80cd4be8938d215af26df6f

  response round 4

   z1: 677 19 364 660 927 399 108 431 731 569 109 787 84 62 936 972 919 474 754 884 333 622 214 804 387 941 1017 714 984 661 63 542 837 298 391 10 976 288 281 986 275 684 220 711 109 257 786 751 833 348 916 677 771 549 419 363 282 501 925 33 945 1015 286 970 264 61 33 553 192 741 954 935 507 624 933 144 124 598 457 

   z2_pi: 423c09353d492f440c383b4c08191b4611262024340528174130011210031e4d2a3e071337431c3a323f1d0039184e042b2d25160b362c310d15292248331f0221064014470f2e1a234a45270e4b0a

   z2_theta
    z2_theta seed # 1: 3b47fa9fe9fc4a24932cf7460a0f2da5
    z2_theta seed # 2: 2e5d28af1f1f742af9d5b50224fd39db
    z2_theta seed # 3: b553d0eba86685ab594365bbb73daa61
    z2_theta seed # 4: e98a9d62f9e725ac09a7202e2062987e
    z2_theta seed # 5: 7dda38f2804507ed831ef229237f3f75
    z2_theta seed # 6: 2a9475b3cb386c2771c4789e960ce301
    z2_theta seed # 7: 64668a80532876c26276dda8e85885c5
    z2_theta seed # 8: 0719b99162a229b51c7226eb097919db

  cmt_1_alpha: 6c3a910c0fe2be6ebbf4c6cd262f1f8087dad455845cbbe7686e0652378b4636

  response round 5

   z1: 569 459 628 236 296 494 396 819 889 306 737 205 104 834 764 790 420 513 125 630 419 159 813 195 226 132 1019 133 804 160 210 131 784 393 433 8 201 32 33 582 1013 709 665 377 655 322 570 674 950 376 196 360 732 734 610 702 712 626 820 82 979 567 325 12 285 812 749 956 1016 799 83 75 544 82 140 562 323 553 449 

   z2_pi: 4d3427494a4c4502301b2444142d4e401c282b09181f061341351e150b01290e0d0c46121a37003a39472c2a21233f11083d2e4b430f221d3b31072f260a203e4225333638480504193c1610033217

   z2_theta
    z2_theta seed # 1: 01f3b753f1251786fe7130e528165a1f
    z2_theta seed # 2: b4920e1053f64cbb5d8cd19847d36baa
    z2_theta seed # 3: 1717f12b5134129761a703fd3a35a00b
    z2_theta seed # 4: b8c8e906610d42361bfd042532d5420c
    z2_theta seed # 5: dd395986723f5a346ffd98902c350c7c
    z2_theta seed # 6: f1fc42f8ffc139e5a8f38aa9b432db87
    z2_theta seed # 7: 6b46b31ce2b83bfd056c4d913b17e428
    z2_theta seed # 8: ea9a05689af32d73c175c0006c8aba5e

  cmt_1_alpha: 25170ccf5464d00b6b42cbc7e261cd8aa1a3c8f462cc4fffdb4bc81ad44c3019

  response round 6

   z1: 512 175 3 530 581 332 446 383 626 627 433 117 181 371 228 1013 841 566 101 714 516 763 549 469 65 22 782 45 682 147 993 441 969 684 399 221 0 978 420 634 682 151 713 617 580 464 896 728 860 294 216 481 563 78 499 305 961 366 466 756 386 152 533 683 889 452 200 608 551 623 529 647 902 176 294 296 144 295 496 

   z2_pi: 25364b300e2d0c431d3d1f0a48202928351a0f49183942264e03452e371b3e441c3c193a211e08152b4d32462a1317272f4a3300381047222c05043f4116074c11400b24090d023b34233106121401

   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: f1254abdb076ec84b4af039f991bf5b5
    z2_theta seed # 8: 77649d1ddefe3222f44e292b7802f490

  cmt_1_alpha: 5d4d7d845abddd46458eea6c0feedd31a3d1c78c004fa8e2b8b5f850f4b0794c

  response round 7

   z1: 970 995 329 280 852 787 843 567 495 77 536 928 594 91 584 284 274 389 565 18 630 471 363 978 383 91 67 44 721 417 554 636 930 23 327 244 133 492 1016 91 795 1 1004 651 895 547 27 737 205 622 245 794 42 854 323 374 716 207 766 418 221 823 72 124 149 109 160 158 426 447 226 54 156 913 790 211 999 261 586 

   z2_pi: 2f4441351e27323f0a124933144a073e22240b0e26113913300340152a3804431a2b34084205213b010c02314c2825170f4d3d202d363c4e2c104548091c00182e1f0d2306471b4b461916291d3a37

   z2_theta
    z2_theta seed # 1: 1cf048005e31288cbae32d39e4223d9e
    z2_theta seed # 2: a8f707d86dd8386f33852f99b8f46b78
    z2_theta seed # 3: aedad5a8b70fdacc5efa47d38e65a4b9
    z2_theta seed # 4: 78c9d79fc5f93daef4b085e4fd90a884
    z2_theta seed # 5: cb8b690588236c0a4f35d388e7c3fa9e
    z2_theta seed # 6: 43c58e529e040303be5a2636d3fd4605
    z2_theta seed # 7: 6cc50298d72c0f822a77a7b59cdffea1
    z2_theta seed # 8: 0c6ab2f31170f0ffaf13c02a63604025

  cmt_1_alpha: 4ad9dda90777f776cde52f5440e7b84092104ce2344c3e48c3f907f7b347b0dc

  response round 8

   z1: 677 389 629 967 116 98 20 69 568 380 711 391 920 404 564 769 583 116 70 595 921 542 22 458 594 688 136 785 632 887 196 963 88 62 692 81 184 474 382 737 622 559 110 389 68 688 808 177 753 806 1006 321 746 539 240 859 370 533 686 743 761 972 661 575 574 513 221 1001 226 541 883 95 733 704 711 627 773 534 738 

   z2_pi: 3e1b2c2b32431e143806232715373d251a2009404703441c044d28490d0a054845181741123b4c0f2e2f0e3a014b3910291f3135162a2d00023c3f24220b4a4608343313304e421d2111360c192607

   z2_theta
    z2_theta seed # 1: 25fbe188e2e84ca407caa14f157866eb
    z2_theta seed # 2: 013804ed4e9719a07e19872734987afa
    z2_theta seed # 3: 70e4443702e2a767a13499a9feff4f69
    z2_theta seed # 4: 568224065e0b6b924c4ed6fd000b7840
    z2_theta seed # 5: 345952479fb7c46e4739d7127de38204
    z2_theta seed # 6: f5b51745f918bbaa4afa1419d2292f2a
    z2_theta seed # 7: dabc978413b968b6bc52627a59d06adf
    z2_theta seed # 8: 86b7af49b2d6c48236ffd0432be792a5

  cmt_1_alpha: 719b28bc9f7b3e73c2e30659cfb44536e121552820fefa2b8169bdd809bad87c

  response round 9

   z1: 778 306 391 710 1017 273 888 218 504 485 634 519 322 959 105 571 224 520 1007 729 968 282 580 765 134 92 677 58 236 599 341 891 499 931 92 845 733 324 354 430 50 941 115 181 880 840 348 581 127 29 54 1006 853 929 816 859 846 301 237 525 39 7 804 194 390 940 995 427 992 758 899 332 268 791 917 186 498 754 960 

   z2_pi: 1f2337462d45261e073a0b180d27143e0448034e130f332a35313039053f1d342922000a0c111b422e16433238093c021c08440e194d1024494b013d3b2815122c364c064017211a20412b254a2f47

   z2_theta
    z2_theta seed # 1: a05d9a2e4fbc438dde76420044ee9af9
    z2_theta seed # 2: 51b8e3c4f235835e6d2759ed1f6d4e34
    z2_theta seed # 3: 1126747a87e70a1c806b39bec43eda1e
    z2_theta seed # 4: ba554c25d9a303622258c68f5c06f2e9
    z2_theta seed # 5: 78f8c643a3a7da1cb417e56468b52803
    z2_theta seed # 6: 1992eb0c7700eaef60725107c988c67b
    z2_theta seed # 7: 2626eaaac912b1aa5c61b6eeafcccafe
    z2_theta seed # 8: f94a3bf5b23842008dfd09f0e12f7f59

  cmt_1_alpha: f8b3bdc5f8eb9c636ba28af7fb22c16cffec0d4cab8cf6ae9fbf227002ca37fe

  response round 10

   z1: 482 956 803 770 799 284 835 725 364 548 256 975 662 401 433 806 629 21 852 350 666 93 448 610 514 872 789 770 571 469 1006 374 625 971 528 857 33 201 569 651 507 103 369 738 1008 977 136 9 37 275 434 787 317 754 151 251 938 375 323 43 255 83 22 820 490 221 740 889 175 234 927 347 432 324 290 932 59 968 462 

   z2_pi: 4047324138093f3e061f45461418022a421015300734284d3a05313c1d110d16220a01431a0b25351b1739270308212f0412202433290f4b1e4a2b3d3b492c4c2e0c484413371923361c4e002d0e26

   z2_theta
    z2_theta seed # 1: 4cf5d7e0e64697525f445a128def55a6
    z2_theta seed # 2: a05f0f4a9e9ac64c7bfcbfa7d4bb3664
    z2_theta seed # 3: 3fa0ef35541559344f7d64998a711056
    z2_theta seed # 4: 1e4eba860233020e2f8507d3ee80ad12
    z2_theta seed # 5: e9ece400c268bc06e171384ad0543b0a
    z2_theta seed # 6: 392982a982552139a53f11df652c223c
    z2_theta seed # 7: a15db8ed68e4decf8ea62d0e524fe719
    z2_theta seed # 8: 7b18d475ebd08a81207494bc1dcce454

  cmt_1_alpha: aaa524545dcd71199b0e23bd7d75747a25de142ea0749fb45a3d3e58476cdc53

  response round 11

   z1: 805 582 613 770 94 794 356 299 398 481 209 360 88 862 494 867 672 52 769 771 549 956 101 439 756 745 902 22 367 339 538 28 847 1014 154 361 655 980 348 757 137 887 233 516 176 110 643 833 372 48 654 60 314 1010 873 365 404 847 672 306 640 33 4 426 697 490 570 931 247 1003 705 207 731 900 722 326 944 805 846 

   z2_pi: 23142613210a3825441d4a462e16043e302f393749282a43314d42030b1e15414e342035361c290c240112482d114c0609081718024032193c0e47270d2c331f3b45071a4b2b10001b3f3d05223a0f

   z2_theta
    z2_theta seed # 1: 5da9443af2aefa267cbcdacbbe6c84f5
    z2_theta seed # 2: 355589e508795e1892a248a353a6e1bf
    z2_theta seed # 3: 18ff63e15c632f29564786419d55197a
    z2_theta seed # 4: bae95f95d0402695746e48252223e34b
    z2_theta seed # 5: dfeff2e9c583484efe7219f3638fa240
    z2_theta seed # 6: 4cc2dd14b349f3ba46d6e3ee9924e306
    z2_theta seed # 7: e7713a3b6cdbbd18a3ba08d02be33907
    z2_theta seed # 8: b851aa3a33cda3dc3223df9059112eee

  cmt_1_alpha: 970cd4defc6f64169fc6ae072d1535bb98cf7d4fe3d193a0745d8788586c385c

  response round 12

   z1: 314 788 430 279 517 468 608 232 741 63 320 627 563 986 715 648 572 87 637 857 151 568 743 741 410 894 162 153 866 115 827 991 1003 660 610 575 237 157 720 888 886 270 547 985 701 1005 145 847 12 73 660 178 978 165 327 24 924 500 321 557 577 872 870 583 350 286 410 595 98 665 190 794 453 413 334 425 17 638 409 

   z2_pi: 3a1121430239251b4808311e3f201436422c2d0b3e330335493c0c1d381a2e24004e4140234c05321215450d294709282b061804300f1f37272a340e13071744104b2f3b223d014a1c19264d46160a

   z2_theta
    z2_theta seed # 1: a4fe88bbf973395fbd804c75f32ee11e
    z2_theta seed # 2: 2258bb0fc7517739734a83dabdb4e948
    z2_theta seed # 3: 8683f555bc1c9107aa76fb307037bcaa
    z2_theta seed # 4: 8cd9a6bb1b748eecfeaca8d57b7ae9db
    z2_theta seed # 5: 16409407bdbbe0cda59b2dff643976ce
    z2_theta seed # 6: 87d14bddaf5dca36413469c8a244767f
    z2_theta seed # 7: 23577d4bc0e664fd38d18d4fa7f5d8b7
    z2_theta seed # 8: 8ba3674480ac0c12d9ca3e97a618d60e

  cmt_1_alpha: cd2773d87f7dda849377d82289a79d3f8e1eea0cab0d243b0bc39f285f1528be

  response round 13

   z1: 380 183 575 499 582 126 644 264 441 255 365 816 369 156 422 280 761 986 1011 861 286 775 800 469 251 755 186 1017 11 312 876 561 494 555 471 947 983 270 935 417 954 113 21 236 833 891 589 211 979 906 198 509 680 980 569 828 664 618 183 306 434 1000 706 865 776 116 321 169 343 368 517 616 668 769 609 510 1 656 927 

   z2_pi: 4c1219450811143525013703292b1e1a4927052a1f42042f181606463b15210d304e333834232c10444739021b2236410a3e4a2e482628323f4b1d130c2d09170f004d1c3a3d404320240b073c310e

   z2_theta
    z2_theta seed # 1: b707ef0609ad677c3b50bdfd6fbb0a9c
    z2_theta seed # 2: 27d65d3989bde4ac2eb456ced3c076ff
    z2_theta seed # 3: 64836aa0b0bb7ea763d64c340675f0d7
    z2_theta seed # 4: f1ee779e342dac67b363f0d858cf8fbf
    z2_theta seed # 5: 42df3099585f512df5ff020f015acc1a
    z2_theta seed # 6: 7affcc508a26ebba058a0ed53ebe3567
    z2_theta seed # 7: e79be9b94c1d9643f9285c292fcbbbd7
    z2_theta seed # 8: cd37d17f71de10f7da2e17e8e585d850

  cmt_1_alpha: 3dab244d5ff37c61d6ab05722d5bcf2e40e763ce7ba91d6241f9d47795578564

  response round 14

   z1: 426 631 496 546 926 596 1008 348 833 73 442 261 70 521 295 443 873 992 415 1000 967 888 947 668 400 632 96 177 34 846 69 644 441 830 184 442 1008 554 270 818 480 822 978 540 420 99 455 46 197 330 340 67 871 433 158 911 736 536 163 193 127 380 141 844 982 916 988 839 738 87 1006 472 961 693 435 242 366 288 933 

   z2_pi: 151b2e192c03084e2321252f3b434916342b180c390a0d123d1d400130331f0e1a063a22411c003e4d46294205103c32071702452809200b4827143713443524112a1e3f364a0f314c382d044b2647

   z2_theta
    z2_theta seed # 1: 49e6d5651ecf53b74cf114fbb6264302
    z2_theta seed # 2: 0d406dbda2fdca7f5f0e343d73136db0
    z2_theta seed # 3: 7fa2ef25613fc53f17b346dbf25bdb99
    z2_theta seed # 4: f125e5e7143f8fd9951598a07352202c
    z2_theta seed # 5: 42e7b1c5bc65835645e88d924c2513d9
    z2_theta seed # 6: 4ee4816d872657daeb5181e70a09a454
    z2_theta seed # 7: dfd68ca284d4b4ec4acfd0c45af18b57
    z2_theta seed # 8: 05c1f6b9dca474c53214ed97de8a6190

  cmt_1_alpha: e7625a188742c71e539a23002cb2c84a409d1ae14281fe2c7709cd3518cde67d

  response round 15

   z1: 488 123 639 1000 723 100 946 817 367 758 992 432 192 539 497 353 1003 3 661 94 217 804 829 401 830 864 404 803 399 182 729 129 43 122 335 327 740 388 520 839 449 353 586 509 241 220 279 631 68 799 94 939 558 637 344 711 18 812 443 618 102 885 464 124 514 700 93 15 992 268 577 176 711 842 425 793 158 349 685 

   z2_pi: 23042d340844383317164e1a4d470f2c240c013f141c2f3c18400a002826212e450d491f354a0e4b4c251b3b463a2915313e3706200539430b07031211272b1d30224841092a42363d02101e131932

   z2_theta
    z2_theta seed # 1: e9f5a2bd5c38ebb8fd627deea8f2d34f
    z2_theta seed # 2: b7398935ff9220b2478c7549e313eecd
    z2_theta seed # 3: c3fea7e3087494885ea2368db53900a5
    z2_theta seed # 4: fb514bd70674f9fe933cef9f27977c2d
    z2_theta seed # 5: f9e6343a44e8f09514a6459d57f03b92
    z2_theta seed # 6: fec63a06386dbd249f70ca627323823d
    z2_theta seed # 7: d4ce73e3a477387539e022237964c52b
    z2_theta seed # 8: aa1da7e7197546d4983fcb62242e7b09

  cmt_1_alpha: bb11293d4ef3e03c55592b2f36e225dca4816f61cdf1244f0d3507aae220b2dc

  response round 16

   z1: 805 431 516 511 236 433 432 820 464 1020 700 11 634 670 527 198 357 272 737 93 108 895 717 922 659 145 82 216 543 560 710 779 856 122 744 585 912 944 932 261 245 718 431 973 238 377 379 876 11 1010 138 739 127 1010 115 832 147 148 828 728 24 796 597 945 629 511 495 111 245 275 268 901 937 625 727 564 875 640 318 

   z2_pi: 223c084d463423243e36324718032b4e1649281543331040192c1a420e303d411d1f0445484c443f37120f060121261c1b39252920090a3127141e02384b17130c0d2e072a110005352d2f4a0b3b3a

   z2_theta
    z2_theta seed # 1: 15a81852e4fb912936acac1af864341f
    z2_theta seed # 2: 4c74551a2528b66032bf6dd57116e2d0
    z2_theta seed # 3: fe893587ede5eeeaf39aaca127a50a91
    z2_theta seed # 4: 2c5e30101eb3eb74170d40cc07ef90aa
    z2_theta seed # 5: 09fd2cb4bc65f0a5a4cb885a119b676f
    z2_theta seed # 6: 35ff835480432ff993ea01e59dd3a8e3
    z2_theta seed # 7: f725492535773fab3f2dc0536520f9ec
    z2_theta seed # 8: ff46da8f75d12969accb85195b0b4b37

  cmt_1_alpha: 8ac313d2f04ea2676aba93af01586bb8f1e1bf5d71fb6be85c9026bd7483f1a7

  response round 17

   z1: 352 364 394 391 72 88 739 687 949 475 503 133 34 24 434 520 703 385 780 575 673 328 973 562 196 568 883 770 355 917 929 53 151 927 543 480 713 130 224 954 464 199 443 488 123 5 869 937 160 195 923 152 173 807 241 285 1008 794 22 94 749 17 617 183 439 342 507 575 356 362 407 954 711 786 167 146 885 854 186 

   z2_pi: 4d2a1023122c36292f20091e2b003a043e3f371b1d41302d444b11331a384819433c013b3431182521150a394e2735022816243d0e2e0b460f03050d1f4214084a072245171c49324c40470c061326

   z2_theta
    z2_theta seed # 1: 47717b3aa37330440e3b8712fd353fd4
    z2_theta seed # 2: 9f9bedea8b64a03ee972a626c3899e04
    z2_theta seed # 3: 422c658f47152e4df9bcea7e2a03497d
    z2_theta seed # 4: 1127543ad9cf88355bc2a137a347c830
    z2_theta seed # 5: 12f1443194512c02972384df1932cc62
    z2_theta seed # 6: 58b335fa2c272fe1e2e370c6b755ea13
    z2_theta seed # 7: cc81b66acd9bf1a575d10bf0ea973791
    z2_theta seed # 8: 1feeb4e12b44b72025984fde58aef50f

  cmt_1_alpha: 94c48fee8c474666a99780c33baa214449b23a566a792e639359dd1d339673bf

  response round 18

   z1: 377 851 991 44 81 197 177 659 236 580 700 701 626 1000 712 573 11 295 56 172 1012 934 447 408 531 510 44 103 994 827 77 326 975 631 672 589 218 493 294 734 828 486 833 723 881 1020 653 329 858 258 788 32 649 256 719 98 474 974 952 741 935 378 919 258 902 401 923 787 776 705 438 36 624 103 131 162 262 814 487 

   z2_pi: 3410152130013b433e36224b41272e232948261f0b00201d1c063a173925052b024e0e44313503401a2c0d094c3c193d32124d2a2d242f044a33424716141e4546490a0f130c071b28181137083f38

   z2_theta
    z2_theta seed # 1: 1eacea3c30a0ae1d7e76112fec9b5642
    z2_theta seed # 2: d389ed8cdc8fefedab93a678d981ff87
    z2_theta seed # 3: 6f54b777150eacb50b1f185832ad969f
    z2_theta seed # 4: c8cb30da9f7ac8d7bc87a43dbbe0b6e6
    z2_theta seed # 5: 7de179ea397937179ff276b751ab06f2
    z2_theta seed # 6: dfb787278e29b759ca673c9799ea0a6f
    z2_theta seed # 7: 0337698830f2ea64440a869f5f07a965
    z2_theta seed # 8: f577162292028157841f3594cb9aa245

  cmt_1_alpha: 0d234a041a69ccd4caadb16c103d9db1e0d276cf9969e209d390292667af5340

  response round 19

   z1: 604 256 751 86 822 37 311 570 209 183 168 800 391 842 488 903 366 753 377 778 246 97 52 177 622 229 966 383 428 726 379 394 41 70 853 540 571 249 682 565 872 381 804 522 168 324 514 323 545 202 936 144 434 869 231 570 603 166 831 627 602 746 262 836 444 529 314 346 151 367 549 55 817 148 154 64 30 503 365 

   z2_pi: 143b44340b0811390d00331c4e1907034931423046272017291a4c43382a3d4121120e470f3e37454d2d25360904354028223c2e1f1d4b0c2f48230113241b0a3a06052b4a16022c3f32151e261018

   z2_theta
    z2_theta seed # 1: 6970431be060ec8d022308aaafa7f738
    z2_theta seed # 2: 2199e914d999533c444dd1041dee6b6f
    z2_theta seed # 3: 70c15616de1cb67298b1bb39f7565bd7
    z2_theta seed # 4: eea9b6be5e27b0970bd384a1d5691ff8
    z2_theta seed # 5: 247c0f438c2f5744f68f892d23d2b507
    z2_theta seed # 6: b8ace45088181ad7ae42dafa7eb195cf
    z2_theta seed # 7: 9c33d54e7a87c2c64608f774fcd57fd2
    z2_theta seed # 8: d51784d5d555b617c74fe1d6463752a0

  cmt_1_alpha: f7fcf1812ec3a1733a381ad0d539f5733791499df1210fea68f87918fe644321

  response round 20

   z1: 130 882 639 441 132 976 752 668 7 962 183 616 541 375 159 112 674 637 450 174 775 204 393 490 339 502 158 966 947 375 867 49 472 864 674 922 544 692 720 954 759 248 848 151 180 713 526 917 850 448 676 489 189 376 1019 461 578 801 86 650 137 463 347 288 151 319 629 487 870 31 195 508 170 702 679 368 38 281 994 

   z2_pi: 4e1219151a44411e05462d2c29384a1d10250d09483b200e2f4304281f0f3f26081b332a232b47300c160132453640133d37033e141c424d0a3431213c22240b113a35174b02072e2739491806004c

   z2_theta
    z2_theta seed # 1: bbed9635f0914a06efa3ea61e8d4e133
    z2_theta seed # 2: 0b31a140ddc8c6c320304332a4eda759
    z2_theta seed # 3: edf42549f99671cb47144a0b144e1131
    z2_theta seed # 4: ad96a3066f781e3b6d7856a27fec65d8
    z2_theta seed # 5: 8c9665a2a114afb8a100859f3d062a83
    z2_theta seed # 6: 69e1df8a9681474d769f5f54b0cadfeb
    z2_theta seed # 7: 31bcf8c61c039edfc9797b8f5435e76d
    z2_theta seed # 8: 2878a6f76e620ef270a31a5db65a7a78

  cmt_1_alpha: 9ab1518edd42a857278ca57105663520ba5c19a8ee53958852dc368f8031071e

m: 0000000000000000000000000000000000000000000000000000000000000000

sm(CRYPTO_BYTES):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8c9665a2a114afb8a100859f3d062a8369e1df8a9681474d769f5f54b0cadfeb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### SIGN OPEN ###
Done

