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

n: 79   m: 35   Q: 1021   N: 32   tau: 30   Sec: 128 bits   Public key size: 148   Private key size: 164   Signature size: 8345   




### 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: 7ab149ffa0271d5b40f2ffd1dd27ac708792cce9be59ff3ff957692fd7e8c2d7
  v: 961 868 131 369 957 204 375 470 905 823 783 774 117 159 146 79 910 654 297 586 175 527 213 457 1015 283 365 376 235 101 751 216 1014 125 319 153 111 300 947 1019 814 65 367 247 599 907 873 570 561 572 279 294 61 149 1016 76 668 666 955 654 830 399 767 200 522 620 218 354 648 424 258 413 205 805 412 344 720 114 465 

 Round 02: 
  theta: 64f71dbb0a743ca41db79cf422a29ff2
  cmt_1: a860451ab7ef920d8cf5390ccce19c8e59e81bcd404db873d7f198d73e58776a
  v: 964 753 406 388 543 244 42 100 482 11 1012 851 852 591 598 767 780 659 459 951 106 667 468 240 294 333 157 979 537 1015 334 47 209 508 838 405 85 377 407 971 318 613 60 371 300 572 402 574 217 859 146 944 313 781 499 461 7 711 87 238 915 911 36 991 771 867 105 576 668 525 947 650 314 686 491 1004 281 844 272 

 Round 03: 
  theta: ecb9388bd5e87b3aef17b9d185a1c0f9
  cmt_1: d5c0d1943729c75e0887d5fdedd741fe72d13c775f953b297b83f5d96ba48558
  v: 506 742 391 832 591 835 161 3 109 727 21 7 795 459 786 440 381 373 199 57 474 49 930 574 159 666 28 788 725 905 70 603 997 880 826 325 788 909 222 588 862 46 224 689 458 742 276 753 722 149 200 613 216 124 61 429 200 180 885 312 26 602 664 598 986 8 284 52 510 646 679 243 488 751 382 663 632 1009 996 

 Round 04: 
  theta: dbc243ef2c0cf0d24329be9e738b4f17
  cmt_1: ce335820c84a4a06c033fa6bb755c46f95a750fa6e7a7510fea4229f8f76d5c7
  v: 669 195 215 299 983 700 623 765 690 686 409 84 429 979 126 721 568 940 437 772 781 687 301 70 358 504 315 975 833 120 929 816 944 763 521 581 622 803 315 587 891 630 31 37 910 339 379 414 431 450 282 212 758 293 192 843 952 128 346 743 172 957 115 850 753 996 13 219 847 28 318 923 961 112 434 951 548 325 175 

 Round 05: 
  theta: ea85653c35c8518679c0508a38165eb3
  cmt_1: 04bb0cc945fca8812d1b43f4b1e7c7e99186ea5cf992d97a4778b78f984d7565
  v: 565 223 367 150 830 865 170 7 775 348 93 798 132 570 485 265 712 980 702 73 738 693 215 888 915 590 225 784 836 98 704 329 196 890 860 548 37 748 121 393 799 689 620 562 301 411 631 250 251 635 377 760 298 1 266 202 480 108 540 736 1013 462 78 51 882 916 20 828 525 13 808 66 148 541 47 996 757 74 0 

 Round 06: 
  theta: 782cdf9ef19bb95c5f12e232fc90459d
  cmt_1: 37a3847afd36e9ced01e83ddd6e2bc03c63875eb005714f9ccdc046bbcaffb0e
  v: 89 191 789 675 607 496 226 639 269 452 1 970 327 87 917 84 813 243 409 592 933 124 154 911 232 736 325 597 498 74 616 231 732 580 322 559 125 322 407 438 548 378 60 870 71 31 526 574 862 411 632 882 78 349 347 784 852 487 285 225 675 523 402 97 489 955 941 797 907 406 965 378 629 279 444 176 10 831 777 

 Round 07: 
  theta: 8c7379ef25b73d091fa613345ddba229
  cmt_1: 1f782cc9530760d01a8c5d4bf5011c815ed5c6989194f152a173f87942c2fd23
  v: 192 35 932 669 179 15 683 758 749 397 501 309 423 475 296 740 89 169 876 340 172 572 99 109 356 754 3 271 559 914 491 727 317 184 164 672 547 385 152 322 855 762 794 32 171 690 663 867 982 921 631 128 453 31 89 989 860 208 533 916 1005 750 748 687 745 449 109 810 356 807 1007 384 433 607 160 792 1006 762 571 

 Round 08: 
  theta: e235c042bdd412ecc6baae77f7bfed1c
  cmt_1: 0075ae7320e147b93099cc552baf2d14ab70d265fbcdcca0026551b183e17d9e
  v: 657 178 420 59 111 409 253 139 62 695 128 60 619 320 926 32 346 370 712 970 216 392 809 463 852 649 840 671 517 248 197 205 559 745 892 820 321 9 135 454 76 483 982 685 361 259 42 723 321 854 918 835 27 831 868 836 503 374 777 985 694 972 12 716 845 987 305 700 411 711 265 316 528 421 865 822 678 37 753 

 Round 09: 
  theta: 560a6aafda8d4b62fd8c92b57400a0eb
  cmt_1: 92ccf7beeb88933c1aa4ebf095701a05c6a1d6e90a1e9ab6740fbca17eebe375
  v: 227 113 368 41 1018 72 15 77 225 141 184 482 577 802 325 303 176 970 263 546 34 474 780 803 861 482 397 347 8 546 305 775 445 976 725 213 419 949 433 913 77 93 576 330 688 684 788 856 431 118 283 442 252 844 613 483 918 846 397 820 407 268 684 417 267 677 658 89 77 653 196 216 419 38 306 626 794 394 244 

 Round 10: 
  theta: 8d15df35f2703ff89a8f56ff85f84e04
  cmt_1: 246487b070fdeb6e367d46e127972c1056b1cfd66e99ee7a3b0a2881c4a08582
  v: 764 267 752 257 485 827 708 51 160 396 636 79 149 207 821 338 337 157 369 871 865 266 103 153 239 829 279 376 0 764 585 719 335 517 562 967 727 403 134 594 574 855 336 809 788 223 50 904 1014 46 413 615 947 960 952 36 554 701 442 1 888 83 582 386 406 1002 81 569 516 865 724 891 756 125 793 865 448 538 1009 

 Round 11: 
  theta: e51d2f7f6d118f007ed0cfae5d693095
  cmt_1: 48ebbed0b000e5058e48ac988f5b1bee07c0542bee9578f1b76e4805cb90ca3f
  v: 266 514 262 433 469 651 220 178 719 180 69 406 928 11 680 807 431 961 450 959 231 391 259 167 268 887 896 126 352 407 549 401 105 861 434 630 169 474 825 496 487 899 27 613 520 910 437 27 321 298 667 56 470 41 769 933 254 623 741 448 313 146 746 624 387 906 677 620 248 237 413 64 506 583 164 389 587 690 859 

 Round 12: 
  theta: e9012ef8fcb0bbf35d6d8ae10563c1e0
  cmt_1: 679914c77ebd05cca5e1eeabce0aae2f1b280b273bf48cd866013ed170d44bba
  v: 194 318 234 999 988 853 185 325 34 313 980 70 909 893 347 614 58 900 879 593 356 973 874 369 509 876 128 1016 561 980 981 1 363 841 891 782 528 504 999 993 507 73 604 618 582 581 789 985 487 845 618 399 305 739 927 717 752 301 802 988 531 382 956 493 769 40 494 966 1010 465 735 267 1014 565 260 875 843 809 157 

 Round 13: 
  theta: c25902dcc6bfc5149f5d25c7bff1682d
  cmt_1: 684aa90a5d547cbf0cf9530ce4f610e4a188d93f165f41051dc5008aeb2d6754
  v: 602 603 334 412 114 482 394 322 912 859 248 715 337 912 70 444 266 6 755 751 336 577 800 818 741 179 163 258 435 432 799 59 727 275 357 140 352 509 981 859 883 948 317 1013 315 152 813 764 547 209 768 272 478 481 552 424 613 855 923 823 954 759 356 874 567 993 144 782 876 354 152 136 333 700 836 381 661 833 28 

 Round 14: 
  theta: e431afcad2c7701e4c8fb6f3c7aa1a73
  cmt_1: e3e73aab86821987bfe6c1e557747b61a71755d2621ac770fba2467d89cfadd6
  v: 922 689 179 440 137 966 254 188 434 980 565 870 1001 1001 239 255 147 435 982 489 403 869 386 585 616 292 476 600 328 903 557 990 655 38 406 66 143 798 998 45 575 445 338 834 127 226 145 671 20 92 190 25 164 529 510 178 690 743 813 812 527 504 1010 18 913 528 915 877 786 961 1012 264 702 201 417 53 108 263 718 

 Round 15: 
  theta: 143d1ca7630d4823f7e36642cbce15bb
  cmt_1: 811d0b936896455bda9775053b2b7c749cc0d6336e92c5936ece42f3d07649ce
  v: 364 598 626 971 400 280 676 585 206 732 417 875 750 709 740 561 522 895 540 931 398 120 332 1009 53 714 856 723 1014 955 62 246 294 767 215 198 502 346 766 1001 122 143 242 373 672 122 192 49 787 66 567 529 57 345 813 755 662 196 524 196 225 811 697 380 149 608 573 615 422 357 49 696 736 227 986 1 692 96 786 

 Round 16: 
  theta: d5b15efed7829e3d8ae503cb3bc6f77a
  cmt_1: 37ff8afe06e7bd9e3a7ca1130979bf03653aac70bd4872d45a694c7ca56f8838
  v: 415 995 157 129 565 661 786 550 843 704 830 252 139 284 1006 45 22 868 886 702 500 80 0 241 975 344 101 791 791 381 545 286 642 281 724 72 5 665 237 723 11 80 932 873 550 200 21 65 651 93 691 900 727 311 563 121 606 897 182 801 579 556 224 858 935 620 387 364 16 895 840 282 176 592 220 636 205 871 46 

 Round 17: 
  theta: 8157170ac18fdc7d27287b4807cf1b1a
  cmt_1: 18e7b6f2659fb3cd47d2fd4a8e7708240e31444a0c7e1aa14bdbfede8faeb989
  v: 840 665 265 708 982 452 176 723 354 671 514 582 102 613 359 106 570 418 127 333 1010 723 328 693 756 862 1000 698 710 425 317 45 5 938 62 911 929 497 998 1010 324 333 194 566 925 382 89 770 622 673 239 957 553 757 808 236 165 959 464 355 265 247 572 752 868 584 1015 649 372 932 540 451 803 907 884 224 740 68 113 

 Round 18: 
  theta: c3e6ecc59ebb2c3b419224c7b1831711
  cmt_1: 5ac8c25b21c7546e992c7c6b2f9711a474653fc49f3ec5c639418f7c5427ffe0
  v: 121 1006 979 670 933 475 553 756 737 802 1000 426 639 896 613 628 790 103 743 289 273 478 414 892 1010 581 928 497 224 767 686 569 538 238 287 101 474 728 299 437 42 147 326 869 36 992 740 436 89 375 961 239 480 925 303 929 989 230 325 938 512 207 754 973 590 192 764 598 336 20 556 166 843 914 787 815 699 634 424 

 Round 19: 
  theta: 599f82602685ef09f9d9ddb62654d539
  cmt_1: 9b6ea72dd0c9e0717f293db6f2ff5645d16bc7e99008346e19d283a788fbdb5d
  v: 286 508 635 874 904 11 811 670 99 29 26 755 271 194 506 635 979 839 921 296 318 85 1000 689 48 370 27 995 224 218 274 755 874 599 171 331 761 602 90 553 116 109 313 663 316 601 689 326 347 285 54 191 6 661 744 233 693 105 558 789 913 429 60 723 602 750 416 679 10 991 825 499 415 520 971 99 811 484 830 

 Round 20: 
  theta: 2f894ffe5fa60704f00a851b6c8d9093
  cmt_1: 6fa8a49a759b5c6489cddc75eeadb4f9328faa41dc5cdb3d0b6f927103d1681b
  v: 266 249 975 585 833 291 286 725 511 202 155 1009 565 618 23 241 490 697 94 961 720 604 1 361 986 916 262 780 389 488 925 973 667 840 999 505 165 265 969 762 749 682 506 803 956 550 85 585 901 849 640 448 936 771 416 407 781 273 57 398 531 117 580 505 255 209 873 949 514 467 199 125 669 351 757 681 220 704 695 

 Round 21: 
  theta: 97a8d59788c36cf2fbe182ab667874f1
  cmt_1: 499ae04c29f1c5fafa68116967da992a17be294c308c8e01543942f6551cbbfc
  v: 568 150 326 761 993 10 81 838 93 428 309 556 867 25 926 220 941 915 837 1011 701 556 440 183 658 137 354 864 922 175 998 204 181 458 553 139 803 312 127 460 677 615 224 160 990 957 791 204 629 22 208 658 210 62 894 691 725 811 948 928 155 725 632 697 410 856 480 928 927 762 479 254 88 538 389 834 743 115 562 

 Round 22: 
  theta: 1662dd4ebde5e69a84ebaafe12deadfb
  cmt_1: 2545e9b215f9fd3cd375c1aa4c4b7d81e38f00519fd4ad6617ce396c29031dc1
  v: 961 316 11 264 861 572 212 353 768 700 359 312 1004 716 241 748 930 916 8 250 709 308 580 485 1011 243 910 107 959 561 968 473 336 170 417 964 516 806 300 805 539 458 423 468 77 1003 896 279 876 100 742 778 805 408 519 426 895 822 855 762 811 114 375 224 187 675 86 426 268 283 574 711 988 717 900 271 259 19 289 

 Round 23: 
  theta: 34665f55b0231eb819c001545f086219
  cmt_1: bddd435fa07322e76d7bd916438ea08f541c4e5c8d736cd31ab87e63930f6450
  v: 782 620 798 171 419 167 916 592 661 593 835 862 841 106 466 119 239 979 697 992 133 178 533 713 542 48 439 365 3 355 527 92 873 129 246 318 317 277 644 838 750 27 509 287 612 520 746 80 56 396 874 796 383 773 7 700 113 175 27 394 452 204 359 5 41 87 347 721 501 561 278 551 922 1008 928 482 672 441 845 

 Round 24: 
  theta: e9a42383a7608a4f70ca0c7d15874fc2
  cmt_1: d993c3ca1c0811e47f949994dc0ce55a304f0fbb7061bba2ab08d044777f37a7
  v: 973 218 252 444 32 406 34 597 493 711 371 200 0 672 864 263 831 738 739 284 100 16 511 329 155 246 966 41 805 948 7 295 307 191 988 863 20 295 904 870 198 125 148 353 421 226 520 922 359 902 760 672 31 796 883 43 935 668 168 847 45 226 596 627 814 955 771 959 336 394 920 186 772 409 876 888 347 513 196 

 Round 25: 
  theta: 78b7c7f3cb6ae755c97a8786db00a002
  cmt_1: 7f317bd796f0912fb79799072a78df22e44eb9b96ea4d2ece65d0b9566c99c9e
  v: 522 101 951 896 242 408 713 605 580 365 746 579 211 588 580 655 827 458 281 313 631 937 742 323 48 728 586 31 805 817 1000 941 530 757 994 320 200 154 830 305 711 349 447 987 348 80 634 668 229 846 983 393 203 983 422 130 225 268 451 356 508 313 838 872 864 145 416 180 995 547 660 936 603 59 257 217 603 488 495 

 Round 26: 
  theta: c4d875f81b0d7fdd7b0190efbd233f65
  cmt_1: 6332265deb55557e3eb528914f5d80646f34c25a5119e04b713d270b6b6f8e28
  v: 956 266 913 736 238 286 1 464 239 514 628 661 263 939 654 417 567 531 490 1 936 382 689 614 1010 672 423 777 946 837 957 780 112 223 194 14 31 895 320 751 802 1015 20 883 74 290 31 957 599 450 956 995 765 22 535 394 838 103 771 405 749 125 328 287 1000 535 197 99 737 622 351 762 52 915 785 878 85 744 1001 

 Round 27: 
  theta: 3bd6bb4a72517bd912748d98dee32f92
  cmt_1: 82428e1ec553562fbea58fd0e7b5da444a73bc205b6e8d9ce4026e6071e746bb
  v: 34 119 342 552 331 803 857 399 289 799 295 361 861 561 455 255 1018 129 978 989 192 466 194 964 84 447 189 948 242 997 1015 760 519 667 937 896 879 510 532 359 208 832 795 717 955 267 594 78 668 481 292 324 378 197 985 399 813 408 0 310 202 283 942 814 968 116 588 638 805 162 443 866 537 119 172 761 612 615 1007 

 Round 28: 
  theta: 92a8afa4e951d397c27baf244d8fdb44
  cmt_1: 1ee20047a566d23330be983cd325c025f96da934e0187b45c3830e97d654643e
  v: 39 316 661 768 613 188 979 15 390 846 517 418 293 766 282 142 927 157 977 404 223 907 144 159 368 930 970 513 931 375 988 834 996 787 762 280 786 512 825 89 257 177 59 16 154 632 777 578 752 206 997 111 657 336 1016 199 561 575 764 499 987 312 85 946 646 240 334 987 933 431 355 830 589 790 567 421 42 511 422 

 Round 29: 
  theta: 4854ff0475eef67005c29dcd152c10b7
  cmt_1: c4c3943908a0d3401d9a66c1d091adaf5ae3290625c324f01da7a59d8203732e
  v: 11 900 886 278 854 909 312 752 63 899 853 298 377 791 112 661 448 944 267 427 905 646 232 571 854 159 20 268 543 885 614 109 823 534 339 117 770 239 980 314 437 382 332 672 896 635 111 1009 873 250 298 435 516 514 434 821 104 306 979 897 445 784 131 950 467 492 79 826 217 517 641 195 752 715 771 187 464 329 948 

 Round 30: 
  theta: ae537d3ed3102b8e9bf5941a317c8e22
  cmt_1: 8f296a696fcae83840bd9ece6dd588f92f4dc4996a48e5a0fea0aeb5501edd64
  v: 58 550 178 217 693 433 60 359 712 406 533 240 749 93 681 416 183 677 596 965 731 479 189 961 429 872 354 139 233 94 196 620 359 684 387 241 159 481 985 439 983 319 862 524 429 599 504 225 384 254 74 600 339 461 285 806 468 883 188 852 30 522 860 399 460 812 221 217 454 883 536 295 970 223 327 379 467 297 249 

challenges: 

 kappa: 
  kappa_i (round 01): 688 192 237 
  kappa_i (round 02): 866 188 608 
  kappa_i (round 03): 762 512 676 
  kappa_i (round 04): 273 255 277 
  kappa_i (round 05): 752 883 713 
  kappa_i (round 06): 114 154 561 
  kappa_i (round 07): 678 916 626 
  kappa_i (round 08): 099 009 594 
  kappa_i (round 09): 267 390 653 
  kappa_i (round 10): 044 404 012 
  kappa_i (round 11): 824 952 783 
  kappa_i (round 12): 724 139 273 
  kappa_i (round 13): 749 079 495 
  kappa_i (round 14): 423 485 416 
  kappa_i (round 15): 465 252 282 
  kappa_i (round 16): 803 097 908 
  kappa_i (round 17): 005 870 817 
  kappa_i (round 18): 775 086 304 
  kappa_i (round 19): 108 050 298 
  kappa_i (round 20): 350 299 906 
  kappa_i (round 21): 383 040 333 
  kappa_i (round 22): 541 768 1005 
  kappa_i (round 23): 066 870 671 
  kappa_i (round 24): 852 898 409 
  kappa_i (round 25): 676 231 659 
  kappa_i (round 26): 887 485 815 
  kappa_i (round 27): 263 322 372 
  kappa_i (round 28): 044 181 099 
  kappa_i (round 29): 778 602 619 
  kappa_i (round 30): 943 268 510 

 alpha: 28 29 32 6 21 11 2 32 15 20 30 15 12 20 28 22 6 24 22 15 13 32 13 26 6 26 27 28 21 17 

signature: 

 h1: cd866561a93ce3af70c2880b9689d34926f44dc759eef676d58af53c80a20843

 h2: 147540b3869db13ee82a9967a4923d938b091aa23bb610ac99bc7d8e8cd225f9

 responses

  response round 1

   z1: 807 117 697 1003 790 849 528 1018 272 146 187 117 876 256 943 98 521 879 315 36 430 351 868 202 36 27 558 455 793 830 330 400 742 942 996 319 840 67 993 779 983 786 747 56 622 937 892 701 207 114 189 523 456 465 917 793 151 1008 954 276 551 362 353 919 136 313 342 552 301 896 340 25 228 357 263 952 247 593 776 

   z2_pi: 49430c38142c413405311a0d2133442f473c15171f4b281027020712293a32481b3e062423303713364c013b2a04254e2e3f220b00394042452620110a4a1d1c3d350e08031909162d1e4d180f2b46

   z2_theta
    z2_theta seed # 1: a00acb9a2ec73b7464b737e40d185da3
    z2_theta seed # 2: 780a36bb42512720d522199c5563e72b
    z2_theta seed # 3: a18ce5843ea77c3171d132a4694e3774
    z2_theta seed # 4: 3aff7c6f6d74cc5a91cf64d452555de4
    z2_theta seed # 5: 5fd55cda06733a6c3e27dc4bc18ff704

  cmt_1_alpha: c20883d2a532c891c8781b8fbef26a74bfde1257089dc82eab44f3ec5e1db4c8

  response round 2

   z1: 825 105 785 475 572 294 498 280 553 485 1010 958 162 541 27 951 963 580 302 594 150 6 326 855 268 639 416 812 72 866 974 980 632 517 880 827 1001 934 256 586 668 617 389 950 177 411 412 828 855 885 91 641 452 56 86 986 782 411 1011 323 1011 338 548 748 987 389 857 694 621 240 194 1000 32 317 321 758 712 637 170 

   z2_pi: 490245254836163110262e40321403331a13462a390d09351c11430e06241d0f084d474a0a4c0b3c27441e07212b343e293a2c19054b1f042d234e302f0c3b28121820374115223f42001b01173d38

   z2_theta
    z2_theta seed # 1: c445d0908cc27250c2f95b8fee15b4af
    z2_theta seed # 2: 65e8e7c6ca055e1138462b8091af8baf
    z2_theta seed # 3: c1b3666653adf034bed633f9c56526e9
    z2_theta seed # 4: 73ab35ad374f27b4b89a7e611c51367a
    z2_theta seed # 5: 1039eaf6cb080ce5fe67bdcaa75866a1

  cmt_1_alpha: 8fdb2d0837089014a14e27d1b995ff4c23a215b8bc03b22b783347fce1b4a347

  response round 3

   z1: 717 1004 107 474 553 74 914 386 223 309 767 807 494 515 40 656 920 340 362 395 584 911 481 484 792 607 289 427 789 280 769 530 161 58 661 717 564 306 280 897 343 430 277 623 258 149 1 902 264 933 633 247 821 954 773 651 415 384 947 889 926 172 769 260 987 9 20 576 65 517 563 209 374 262 333 241 982 647 452 

   z2_pi: 0831250021360e0115022a063c04481a18133a4e033b1e110f4c41302705194022472d394426233334464d3e0b37352c2f2b4a491f1420283f171b450c100d2e16073d431c380a42091229241d4b32

   z2_theta
    z2_theta seed # 1: de8df84fe09e3eb0d28fe8a76d46608f
    z2_theta seed # 2: 0fa5d37789d889e6b63903481d846619
    z2_theta seed # 3: cd55cd9f1cbf7f3755c20c39a59ca479
    z2_theta seed # 4: 5e35ec46d22a63a22f26db0d9adcf660
    z2_theta seed # 5: b2e0a5e80b2d058645defb8836451e11

  cmt_1_alpha: 18c5662b4aeb190b95e7d3c9d0db88ac6a82363cc165db56aeefbfa56b1ca507

  response round 4

   z1: 499 596 542 360 893 497 499 436 679 745 762 592 904 780 95 570 40 613 481 604 879 144 196 1013 412 239 450 485 154 1008 960 175 387 981 733 556 256 920 145 764 790 806 167 310 422 584 886 332 385 52 491 607 571 810 33 384 893 439 242 872 903 565 526 901 701 49 851 951 556 562 686 451 273 947 13 715 192 584 566 

   z2_pi: 033b37292e493d2c001444284c45152a0f0230204738360c3104461d103a061b11432d331224354e4822210d1e18193c3e0b2523014b4a0e390a32172f1c26084007133416093f41424d2b1a1f2705

   z2_theta
    z2_theta seed # 1: 3b47fa9fe9fc4a24932cf7460a0f2da5
    z2_theta seed # 2: 2e5d28af1f1f742af9d5b50224fd39db
    z2_theta seed # 3: b553d0eba86685ab594365bbb73daa61
    z2_theta seed # 4: e9dcc6d21abd2334a3d0f721e76cbb76
    z2_theta seed # 5: b5c3bee9498249a0e8c21841ebdd9cb2

  cmt_1_alpha: 39cd79aad156a71e524f58037924af0efaf29d6d20f3ddd68e596fb6d2e54fcd

  response round 5

   z1: 583 110 803 968 854 714 346 95 888 621 781 573 36 445 547 980 473 369 133 568 130 421 652 845 494 917 544 34 589 860 721 724 365 46 46 836 140 501 343 685 666 704 886 536 437 320 97 968 9 181 686 917 999 666 976 566 8 788 671 519 894 353 962 235 527 773 675 836 683 15 232 663 725 643 843 249 823 89 432 

   z2_pi: 2d00350d073f3c2606431a24183b0c2841452023213e0246424b44014a102a0440320f4c131412111b1f3d37164d3a1536331e4725080e3839312e1c34494e2c2f0a29270b302b0509194803221d17

   z2_theta
    z2_theta seed # 1: 01f3b753f1251786fe7130e528165a1f
    z2_theta seed # 2: 954cdc6bc6f35bd0e2750c54cafa0a91
    z2_theta seed # 3: e740137d88b514a31ed188bb4df4d97f
    z2_theta seed # 4: 003313dacf949539ef9df93c2fdf08f3
    z2_theta seed # 5: 72601135af9330330c17ac07caf2a158

  cmt_1_alpha: 9da2422923c788b1cdfd36c2e38a2515b1b2e03e2021a317cf7ea9a3f97367f4

  response round 6

   z1: 317 491 87 747 400 217 744 86 531 519 28 803 300 551 348 51 573 172 267 585 279 124 193 424 202 489 583 295 908 322 316 233 1007 29 242 720 715 29 978 1005 801 646 356 163 1019 843 593 308 532 998 540 557 379 291 668 603 921 882 65 443 906 616 10 651 939 51 258 697 1012 195 990 452 388 360 812 370 978 588 294 

   z2_pi: 45322c14370605271249092a1e4a31331b4d0708283b212e394102010d1a184b0f2f1c0e4e38233e15130c2d3a44424c290048351725031647111922244620361f0434432630101d3f403c0a3d2b0b

   z2_theta
    z2_theta seed # 1: 76094fe55432f7db5368fa84e2d41a72
    z2_theta seed # 2: 3fa07816901032cb4f16a969a44eb87f
    z2_theta seed # 3: c237c496a233cc82ab4bb72839f3bbe1
    z2_theta seed # 4: b54661c836892d04df014a4d7a03ddfe
    z2_theta seed # 5: 35e314d544bdd5c7b2e0d979eb9c15c7

  cmt_1_alpha: d5a7626937d2d11762088dd438a23e33451ca5b1f6d1ae5cec2b240e8c759f32

  response round 7

   z1: 551 783 600 425 938 265 279 1 782 794 936 134 893 551 800 191 34 452 487 783 476 698 169 128 337 987 234 551 839 268 903 963 188 535 53 766 135 193 651 55 290 124 618 42 400 975 358 197 141 554 217 999 845 631 163 729 450 226 984 556 174 186 156 353 48 934 298 183 49 977 832 992 320 70 145 60 159 338 366 

   z2_pi: 372c111a4a17003d0518302f341f3925091d43234601353c4c2812380e0f4b2e040807213e4148130d203b0a02222a1e4e33032747451b36423a2b31444d1c0b24400c10151406493f16321926292d

   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: 8922a59bfeb3494bf8b39c40cd99363a

  cmt_1_alpha: bfb44d63296b2daabe0b43929820893c1d2508f2835b64bc53be8c778257be39

  response round 8

   z1: 677 404 45 568 282 135 977 663 143 865 386 873 336 46 480 164 114 135 447 810 742 293 0 954 497 253 869 238 706 457 717 608 156 696 211 620 606 641 565 55 747 725 481 582 304 655 849 671 550 362 460 171 783 953 533 451 545 534 889 135 95 218 0 921 66 12 649 180 558 574 495 701 210 813 823 64 460 420 852 

   z2_pi: 1a294503484423100c4b0200050b182507341336013e1604300d4140224e0e4728211d17264d4619392c3a3d2e43322b120a2a094c3f24310f1e3c1c38273b49140837062d1b354a1f3320152f1142

   z2_theta
    z2_theta seed # 1: 25fbe188e2e84ca407caa14f157866eb
    z2_theta seed # 2: 013804ed4e9719a07e19872734987afa
    z2_theta seed # 3: 052f316dcf277459f8d7de738f4face1
    z2_theta seed # 4: f53e5dcdd6363e51f07c7e194293a7ad
    z2_theta seed # 5: 84c25015d320d63139b645ecbb3e400f

  cmt_1_alpha: b0abfc07f3245ff4962ca53e2f116ac0c28a0e55db8a6058838ea67540c6711b

  response round 9

   z1: 122 958 575 39 33 8 729 955 879 271 237 503 239 987 530 360 429 987 69 789 245 814 829 985 991 572 709 214 782 969 455 988 973 520 458 846 561 63 734 500 889 57 646 103 613 487 356 463 975 345 657 70 346 985 710 754 1015 468 5 1011 561 430 503 427 305 486 607 910 727 922 55 534 447 106 393 611 952 371 893 

   z2_pi: 0e164c1d3304173b44420d2612302b192c132a3c013a313f20152406452505391c2e2d29032749380f08221b094b3d340c47464021232f103614434e1f0b3e0a413228024a18004d1e11370748351a

   z2_theta
    z2_theta seed # 1: a05d9a2e4fbc438dde76420044ee9af9
    z2_theta seed # 2: 4903f985b844e06753da4a4f0c9cdae1
    z2_theta seed # 3: fcbf4b5eebbf5a732a4f4a10b00632c7
    z2_theta seed # 4: 74b48daefd75ad409ce890c738c4db08
    z2_theta seed # 5: f821dfc41f3c3870e4ff72d2fcc38691

  cmt_1_alpha: 751d5484b8f0012c8180525824c9902a3d2fc9c64aa59956d48489ae97c76566

  response round 10

   z1: 455 986 529 14 214 90 878 311 151 13 187 793 328 612 521 814 258 795 964 615 362 886 358 965 875 205 186 761 959 612 121 923 369 961 448 110 844 133 397 138 647 960 113 216 430 220 962 371 195 399 186 572 264 123 56 501 680 191 558 82 1003 593 956 741 260 746 550 59 445 504 918 283 608 714 714 395 117 518 668 

   z2_pi: 060247082b0a430f262a4a3503401a3648013e002e2c2042174513331f3804093a491d4b2307460c4e41122d1c313d4c24281b30290511393b3c1e3f2718140d0e340b4d212537321615224410192f

   z2_theta
    z2_theta seed # 1: 194ec41f42a3f2a3becb38b6f5d6df83
    z2_theta seed # 2: fcf64c66f4ceb558ba61f001710cbe22
    z2_theta seed # 3: 6985092a751a07fab01cb121b7398ac9
    z2_theta seed # 4: 231f1d554356e39dee282056001f8393
    z2_theta seed # 5: a97bc2c418688f0bdf0fff245a2b5610

  cmt_1_alpha: d9e3ec8aef7867e473cd14e55996e273471df2b7d99d5a919e8a8caaf9c6ccad

  response round 11

   z1: 416 661 668 182 144 105 517 936 675 642 566 187 519 575 826 55 752 94 229 854 795 53 141 470 3 960 806 93 559 43 548 696 612 978 611 1005 233 465 338 485 97 618 488 447 272 892 560 135 475 780 666 503 928 998 147 511 846 853 658 987 949 727 405 495 359 654 58 569 816 354 514 183 266 232 742 363 510 412 450 

   z2_pi: 48382a112f19473b2c2b134003064d291a1b4623183507120439211e1c4b150d0944493d1008433c0f4e223327174126324a42011d3f1f3a0a3705002431362d0e0c4c2e20024534143e300b162825

   z2_theta
    z2_theta seed # 1: 5da9443af2aefa267cbcdacbbe6c84f5
    z2_theta seed # 2: 84616e7546bffc7cd9527dcd72507a71
    z2_theta seed # 3: 88306f16296d580b7fcac87293e9d127
    z2_theta seed # 4: b6b9b3a680e2e9b6cf345267c135e5ac
    z2_theta seed # 5: ad2e01fc720c0c7cdf50158254ab64ca

  cmt_1_alpha: 1804b9b51fca9654cc8bcb42d195fbb619919fc9b481a09196bec4b28d0e5c8b

  response round 12

   z1: 336 704 561 480 551 349 989 562 366 342 446 724 188 39 304 1015 619 873 498 646 252 838 27 373 328 102 865 119 762 786 1013 859 257 50 238 512 9 611 193 181 460 295 817 805 73 314 623 871 637 162 427 14 705 907 241 144 279 37 688 998 525 321 473 636 78 393 868 1008 269 129 206 535 454 453 846 274 708 907 63 

   z2_pi: 1724270f44394049253308412c4a1f114e0c0a104c13012e451d1c31043b303d1a372f4214262a093f4d21471b06190e160548321536232d3a1e183c342003073e0b1200284b0d02292243352b3846

   z2_theta
    z2_theta seed # 1: a4fe88bbf973395fbd804c75f32ee11e
    z2_theta seed # 2: 2258bb0fc7517739734a83dabdb4e948
    z2_theta seed # 3: 778129e4b8362e97be52d158eb2d6b3a
    z2_theta seed # 4: 202da2b0bf82e4057e6a5ee582f28ba6
    z2_theta seed # 5: 489bef21cd23cf442cbc500da393f37b

  cmt_1_alpha: febe0e81c6c7545015c9ce0d7e0db366182fe0cee32fe35dea9623435ed3e502

  response round 13

   z1: 289 533 472 625 36 696 401 335 422 370 1012 455 26 286 34 265 98 891 641 615 854 223 1003 168 525 131 321 236 759 995 386 26 759 762 162 352 441 667 861 1017 258 76 159 743 6 359 759 545 59 372 174 334 699 659 872 338 534 259 268 107 1002 354 979 446 501 765 223 816 910 300 188 273 802 977 657 789 94 976 981 

   z2_pi: 251e4638031a2740420b3a0a2322311f342f20124d013b18290209002c05260733364435391321103e301c244a06081b4945473c4e3d0e192e4b150d2b16372d1d14281141324c3f4304172a480f0c

   z2_theta
    z2_theta seed # 1: c5a221c9259f7b715d0379e8041d283c
    z2_theta seed # 2: 0f0a6955167b789d208b877c8c1feea4
    z2_theta seed # 3: 16ebca785ade16fea40b7348ff4639e5
    z2_theta seed # 4: c92ae098f601689d653b497b4a619a15
    z2_theta seed # 5: 4d28f7a5a60da9fd1712fdb928dee214

  cmt_1_alpha: cefa759467107a494eacd2a386921d773e63cf4b9bed8f49d71cc3b343cf9e98

  response round 14

   z1: 1008 668 501 43 946 666 975 851 131 219 572 92 732 225 871 984 702 571 404 792 267 705 425 57 111 473 730 553 234 784 465 119 401 205 949 586 360 661 711 713 958 304 332 655 166 528 1018 6 894 241 240 967 377 766 673 926 489 221 482 1011 179 416 475 707 147 427 773 447 351 31 26 33 382 741 85 717 198 661 927 

   z2_pi: 3320000616374c2b08030e30423e2c0a1c191711473a224d1f09253641442d392a3c1d4829100f2f344018491b453d0713144a283b311e23120c32262e1a38350204150b4e434624014b0d0527213f

   z2_theta
    z2_theta seed # 1: dacfa8755f907bff133988f718f4370d
    z2_theta seed # 2: 85e3b1e16d67a025558ff1c1b58e77a6
    z2_theta seed # 3: 8483c66b731d506e767127e7be9159f8
    z2_theta seed # 4: fba8e998f83fbe763a03c7f35243389e
    z2_theta seed # 5: aaacffb5f6fc2303ede8faba975a08f6

  cmt_1_alpha: 584e3a63105713d04dfbf422d4b4d1b7cef7a41e6fba568bd65ee7cf4a005010

  response round 15

   z1: 91 702 224 68 279 958 382 1002 172 870 353 416 725 1010 554 592 207 826 690 871 827 674 629 46 180 225 802 765 938 420 533 338 88 474 695 679 109 785 943 23 344 745 1008 406 646 478 511 91 946 517 62 400 315 58 778 834 506 698 832 900 418 661 695 635 768 322 523 410 429 932 802 504 943 22 804 903 408 174 310 

   z2_pi: 1842231b46443e000906262c27311d08151f20431c040f374e4b0e2a2e2d0b4002101a07193c4c01453005032b1e294d2221483f380a3d1312471416243b2f4a0d35342836393249170c3a41253311

   z2_theta
    z2_theta seed # 1: e9f5a2bd5c38ebb8fd627deea8f2d34f
    z2_theta seed # 2: df3b2dc5f52cee55a2cf1e1511a579eb
    z2_theta seed # 3: 8e6d58d5d64dff531678ab471079b9ab
    z2_theta seed # 4: 8cceca6d34d4571c1eb256aa19aa6765
    z2_theta seed # 5: bd138222548ce1038230436a3f185e52

  cmt_1_alpha: e05e0a3ee46920d78fa8b815b03b8099a0ef3f9ae0a504f817a7317a6fda94c3

  response round 16

   z1: 264 795 341 281 279 879 807 931 615 61 147 237 790 232 8 100 185 377 556 980 306 85 194 891 935 400 47 613 815 705 577 340 250 240 540 843 152 346 264 987 969 261 123 47 45 105 364 706 985 843 43 433 780 655 524 148 988 422 798 227 141 522 841 992 516 180 269 537 895 153 156 673 774 770 497 563 212 497 557 

   z2_pi: 3f11023c362a4e0e350c0519470f383113102d0a20073a1c04371d32434c2f093d25344440013b4d241648002e4b2927334517423946154103180d2b061f490b1e23282c141b12081a2122264a303e

   z2_theta
    z2_theta seed # 1: cbe33beb5367b44debc2a792e9e7fa04
    z2_theta seed # 2: a0d87511d8803631a86528825d09888b
    z2_theta seed # 3: 9a48db8ec1dcff258a5859e3b6d9a656
    z2_theta seed # 4: 80b7a75d39513d4cb7ea84f0d3951cf8
    z2_theta seed # 5: bd79e2afcf10c493434437dc312a461c

  cmt_1_alpha: a887b9c3eb0712edf26fb1a946ad4d8098517ac670176ec503a299bcb82f0e5e

  response round 17

   z1: 978 410 325 866 389 114 492 335 556 589 614 745 756 278 254 789 288 565 696 658 682 365 733 111 647 160 39 837 927 116 256 701 324 488 190 1009 786 900 170 22 230 113 438 351 214 306 15 410 962 323 212 631 533 401 887 836 203 19 13 700 487 313 682 876 439 79 522 493 397 783 574 472 936 294 877 833 125 315 988 

   z2_pi: 17192646270a1a0906332b3d421b0f1e1831003f0415231c12070d474914223b02434e45443a4c40362f3c2d411f35200510133e0e302c392a251637080b4d380c32111d032921344b242e014a4828

   z2_theta
    z2_theta seed # 1: 47717b3aa37330440e3b8712fd353fd4
    z2_theta seed # 2: f0b7a9c2c5a22fea98be25f3d3aa0daa
    z2_theta seed # 3: 1f48a9d942db533691e06ed2befa1cfc
    z2_theta seed # 4: 5422dc9c4775d8fcf73cec03815a210c
    z2_theta seed # 5: 4d2279c4b47d1de367888c623baef25d

  cmt_1_alpha: d419873e4559b70dbcd74d63f5976d04b20895dc9b04467e39ac338135567b2f

  response round 18

   z1: 965 887 195 582 946 853 4 248 65 532 823 591 916 878 852 732 59 193 925 691 401 459 591 603 444 132 69 432 313 564 467 281 949 934 214 957 472 433 901 512 145 1008 673 302 137 895 781 291 436 431 178 696 160 369 875 908 104 628 516 820 745 195 493 147 805 966 692 858 187 343 290 333 642 796 104 873 359 994 588 

   z2_pi: 39204c160c03180449000e323122213c261f01241c2e094d350d2a290a4605083a2b13301d104815331228442f4b1a343d251427020f3b0745230b37363f4e113e19064a4117422c43401e2d1b3847

   z2_theta
    z2_theta seed # 1: 95d40255e0d7054aa7277577bbd8049a
    z2_theta seed # 2: 4c6a962451895fd400a8d695e8d1809e
    z2_theta seed # 3: 4d9508312b95f0e888152b28c0422795
    z2_theta seed # 4: f465496031ad68caab1f08989cc90a94
    z2_theta seed # 5: c83d317beb0bf2f1658d94c41b5cebff

  cmt_1_alpha: 5cdfc42f524cc71b9efd5a54d1c7e128769f458c29f2ac8a13229f68e3af2d20

  response round 19

   z1: 526 840 977 64 356 871 576 95 900 632 108 133 818 187 597 358 1009 327 3 475 83 680 943 524 920 727 980 118 636 433 830 827 791 696 102 14 452 747 428 872 240 725 230 454 902 693 1019 25 826 740 140 813 738 675 396 446 637 936 311 84 102 833 526 734 125 473 953 755 337 612 403 743 305 126 346 528 520 146 645 

   z2_pi: 01253000461d370a2a3e124911474b3a1707081e154139340b132d0c31040223430d40093205420f22261c1f3d2145034c103f203c280636293835331a4a161427440e2c483b2f4e182b4d24191b2e

   z2_theta
    z2_theta seed # 1: 6970431be060ec8d022308aaafa7f738
    z2_theta seed # 2: b9d1f5dbb8a07eb28037ce3377ab1caf
    z2_theta seed # 3: 300333cc845ddc4dbebc4c7fb52fbeaa
    z2_theta seed # 4: 4762f4436bcbbd9fb956478550c0015f
    z2_theta seed # 5: cb624cc178b3c6f9053bfa1c6ea90d20

  cmt_1_alpha: bb5a671678c6a03c0bfe719aa4b311b665d21508bc0e7fe26ec2cf5dfc7008a8

  response round 20

   z1: 440 34 904 442 692 115 1001 735 301 842 539 713 668 713 847 329 575 959 727 651 290 207 719 232 752 966 612 324 548 603 519 877 840 517 491 35 841 27 548 665 940 732 661 283 400 448 453 954 972 774 60 947 616 586 228 93 579 964 445 36 383 251 78 422 373 622 501 474 655 992 313 979 147 647 809 472 505 578 678 

   z2_pi: 1f321d203626120c0d3f3d114d21311c4a352c2a2d1b41172847014b40390b04443e3b0746083c242e02490e00291a153a0a2b4e2238251e061018484213274323343719330f142f1630030905454c

   z2_theta
    z2_theta seed # 1: bbed9635f0914a06efa3ea61e8d4e133
    z2_theta seed # 2: 6f9b8bf96007406021496def1c33c8e2
    z2_theta seed # 3: a17ba28e2a5da4954db8fa2e1032456f
    z2_theta seed # 4: a28838f7716613a8a74e0cb5df4d8227
    z2_theta seed # 5: 28a321277b97a9d22eab107b5cb82ad0

  cmt_1_alpha: 5c27378a3d18d73981c3f7a1b9d499789d60f70a8269cd4d08a04686d8ac01e3

  response round 21

   z1: 67 841 123 527 961 256 44 923 710 804 695 894 618 360 334 38 449 392 540 769 48 57 837 284 151 301 816 4 224 115 973 789 845 203 840 550 102 269 142 855 904 90 1015 509 991 989 925 415 761 627 466 263 829 2 593 595 705 512 953 813 183 644 93 673 590 89 86 980 73 790 433 73 960 355 334 371 539 368 634 

   z2_pi: 21490d241d0b4e1a0a1e46012640343d064514132b4a2a03224842002c2f4b1c3a083238301b4d1633374410411f04230f292e19204c0e153e023c474335173f3b0c120925312818112d3607270539

   z2_theta
    z2_theta seed # 1: a3318e73eced0693ace9c737c9551794
    z2_theta seed # 2: 116a5495dcf457a64b30a4706eee3387
    z2_theta seed # 3: 186ed8532f816e0d808ce5d3d8c1a6e3
    z2_theta seed # 4: 1394eaf84adccc434337d560cb40b3d3
    z2_theta seed # 5: 32bf2aaa123122f13d6a7cbb36c1e1b7

  cmt_1_alpha: bb86e651afd9029b48defdc525ada02b581e74a9f34d6d7678ac5da52c7c7853

  response round 22

   z1: 75 376 411 841 118 60 528 542 685 29 483 96 975 128 606 235 58 675 138 745 377 591 324 535 846 946 646 63 90 632 292 489 667 385 642 554 789 149 671 361 898 485 308 535 876 657 594 124 1013 273 963 641 321 66 572 225 551 666 543 285 579 364 114 815 185 161 862 328 570 448 873 568 485 536 892 177 944 882 937 

   z2_pi: 0c3424371f0b3a3903053e18063315304c383c170a41231d2d2c1112471c1a0d082b0721103f4e02362e430f2920484b04131428462622353b3d312f1949444a1b00250e322a09162701401e42454d

   z2_theta
    z2_theta seed # 1: bca4600a6ec204d3d45fba11fcbbaf8e
    z2_theta seed # 2: 668fa0c0c45ec295e0dd7c8f596c5264
    z2_theta seed # 3: 65dd8f1fdb99251e5225d3dd258d5451
    z2_theta seed # 4: b9979037aa7f6f983c0a4784154dc5d2
    z2_theta seed # 5: 4d781bbedfc7d1e135e1780ca8b9c850

  cmt_1_alpha: 5e4b7af583a9505312cbc389a6ce1e50324d8c76deace6a4b6b5f16c0d7bca1a

  response round 23

   z1: 283 752 853 473 612 1017 706 679 829 261 9 621 502 431 164 257 797 990 225 621 790 906 306 803 567 981 16 87 182 793 510 958 989 398 917 198 973 594 36 427 39 424 68 585 53 783 356 571 239 222 167 898 85 389 772 857 768 827 857 907 175 126 20 412 727 617 942 197 296 654 954 610 971 745 361 836 619 803 283 

   z2_pi: 0c46164d1005312632231b0a113e281e191c3b274033373f4c49181338172d2a36012015392130434a2e2c1f2b420b24353c02064404000f143a45091d2529473d0708033448124e0e0d41222f4b1a

   z2_theta
    z2_theta seed # 1: 34bbe4861bb48b56660593cd44e6ed6d
    z2_theta seed # 2: acc58a73cda069c6d1e7d12e5c358a43
    z2_theta seed # 3: 6888449eb8229fd1674b68951e013cdf
    z2_theta seed # 4: 0d21cb9d3b52a9eda20d6c4cd301d0f6
    z2_theta seed # 5: 0b2a61446e8625820c050150d55f2019

  cmt_1_alpha: 4a91eba76f1e9a7c60bf84e138aaa619d8a50a6c3a4f3ce4e8a1c8b801e49c5f

  response round 24

   z1: 403 401 1020 417 613 555 914 468 761 768 869 867 95 998 634 803 464 763 904 781 405 533 939 264 556 496 862 764 486 500 502 703 884 202 707 92 815 23 672 843 771 316 351 628 2 1001 98 296 640 236 592 140 732 927 967 528 499 857 10 747 253 139 902 846 517 102 629 413 338 183 157 857 718 518 137 401 544 670 338 

   z2_pi: 4b002c3019141e2024280c04453246400e4d1023020633480d1f0516253e013a1c4e4c38072b1b0a1337443c353d1d08224a412f0f1a1531472742392a4317123609343f262d49032e2129110b183b

   z2_theta
    z2_theta seed # 1: cb6f939ea1d98cabefb84ef92dbc1752
    z2_theta seed # 2: 97fa34f7835304dcd6b767ab9f209de8
    z2_theta seed # 3: c573d01f55ccd86a8a45c4232bc9f720
    z2_theta seed # 4: d6c68a5249d7210271ca0c3ee0857836
    z2_theta seed # 5: 74bd08a0c77bec28d6a5a3c23a37534d

  cmt_1_alpha: 10aba3657cbb3e67ef531ca41b459306280d7bbce1c609c443f7b0b2ec0eb40e

  response round 25

   z1: 276 863 600 509 405 798 474 317 398 482 494 363 608 77 777 828 857 930 736 287 89 198 406 466 716 1007 390 459 590 986 955 926 383 172 393 757 509 108 106 972 363 216 375 232 329 735 357 352 757 979 342 109 25 672 146 789 352 946 732 108 429 485 853 823 764 31 613 404 197 700 885 473 784 173 381 81 147 500 915 

   z2_pi: 101a08004d091915410a172d2906484a3126372f32471f01460b0f022a351d2b07231243140d2236164b130549300e423f1c0c3c283d3b18214011331e454c3427381b2c443a202e24253e4e043903

   z2_theta
    z2_theta seed # 1: 591fcd986b7ad8ab72331f96f41eb44f
    z2_theta seed # 2: c49f4891ff0f26378c912dd87140daf7
    z2_theta seed # 3: 26061ffa6e8b6b7a8d3ae5bcb377b446
    z2_theta seed # 4: 6b32362c8fdbfc976420d849041a897d
    z2_theta seed # 5: 08747aaaa2067910e5da1f0c02c9eead

  cmt_1_alpha: 141dfe858c6f6db933bfdf68d9f8f489cdf4d99be7f9e7bdd0052d379e568fbc

  response round 26

   z1: 106 66 640 786 137 580 63 574 562 978 920 395 63 743 919 905 239 679 126 534 980 968 1009 631 519 441 303 822 493 680 374 633 201 193 158 892 858 509 983 77 131 480 198 282 251 599 802 736 33 205 101 945 238 489 491 864 359 543 91 778 610 176 532 808 686 578 219 807 847 31 988 320 525 516 326 583 390 13 46 

   z2_pi: 083a180714342a124706101e0b26042d3e32030c383b1a15223f1c2e2f1346172b0028412c2129052337020f1f484d160e27424e11393625493c1d45300a4a3d1b400d204c33444b35092419013143

   z2_theta
    z2_theta seed # 1: 5cb239b74409393f63c807666ce71e99
    z2_theta seed # 2: 9fa0df2515c4bef631a0961a98504163
    z2_theta seed # 3: 9567d7c927067e76a1a074d1036f529e
    z2_theta seed # 4: b940261a415f8d9716bd12aa1d04d8fe
    z2_theta seed # 5: 52123821158daaaf5ea156d775d68863

  cmt_1_alpha: 1eb8e98d0361c3842ab5e8d2623dc55838e1a864777983441f32c05625a689c3

  response round 27

   z1: 12 865 51 16 443 570 414 892 106 509 498 6 336 124 384 975 437 125 429 895 747 508 141 566 550 571 308 387 76 285 722 258 575 402 241 589 331 791 483 706 931 24 247 739 1002 549 162 233 830 81 504 454 473 447 119 289 458 623 671 96 342 397 694 580 968 799 5 415 994 486 749 367 886 319 21 991 323 981 601 

   z2_pi: 1b3c43163b3e2035152d2a1738311232110709282e4d4a0047271941440f423f26214504303a1f0e2f0d4e332b13373614080b0318403d2324461d2c024c29061a490a391c220c1034014b251e0548

   z2_theta
    z2_theta seed # 1: 8b619f25467d1395ec1912f66fa2f418
    z2_theta seed # 2: 4072dd0bbc2f8f85562c570e7489b95d
    z2_theta seed # 3: 126f1cf237069dd47a1ebece983ec2c1
    z2_theta seed # 4: e2ba26722c06052fe62902fc862e80bb
    z2_theta seed # 5: bcbb197f5de0a911e944419b9e2c2580

  cmt_1_alpha: f39e7db0e748c77ae7fd2fe72170f01be44073b6d501f1aac76d4e4707a8b813

  response round 28

   z1: 646 635 124 813 535 699 341 270 683 927 360 87 237 34 825 543 666 878 340 778 904 140 566 942 509 790 863 109 739 778 328 773 446 1019 955 266 719 130 1015 35 995 791 252 983 710 870 261 384 628 793 435 140 203 664 303 139 713 825 940 492 653 452 707 17 757 848 914 1012 117 356 683 571 393 914 985 118 415 488 90 

   z2_pi: 450c4e013f341a094a350a46442c144c0308493718042d3a0d1d32292b0017163c2225051231101b2e06211c3b3848193e304d242f0227402336200e470b3d0f43423933151f1e264b2a2841131107

   z2_theta
    z2_theta seed # 1: 4e6079e8793ead8e17b5536aa10445c2
    z2_theta seed # 2: a20f4209dcb2ede096f5b2fff8bf4eb5
    z2_theta seed # 3: 11b4629424e6020a5534a2bb79bd53db
    z2_theta seed # 4: 1c46b46d98986c2a54bf5723cd0cce48
    z2_theta seed # 5: 334df1e0661de521cceec93dfdef5822

  cmt_1_alpha: b2cfbca1edc9373e050b8df109824adc201b7e499afb5a7536a5805e35f7ab57

  response round 29

   z1: 372 931 336 758 44 853 757 560 298 63 269 470 776 298 419 182 844 105 18 77 90 500 71 480 753 462 349 78 26 24 40 405 679 799 642 282 50 244 52 782 332 782 168 286 288 404 134 911 297 508 520 667 340 363 579 779 212 301 758 675 861 460 361 451 913 830 427 1013 949 487 942 539 739 866 564 956 396 646 446 

   z2_pi: 38332f4b3f2c4a40280b0d3c0c451d1a192d0511480f1f303627394e4c3a202e3e243d214729353203172a224118370a1013040026060246490e12141507312b09014d0825231b44161e431c3b4234

   z2_theta
    z2_theta seed # 1: 3e36fed1eb04f0fb2a193d9fb8f5287f
    z2_theta seed # 2: 218070a9564c45bb03d538e0d6738b77
    z2_theta seed # 3: b30617c2ba4fca270b3895136e6ff655
    z2_theta seed # 4: e7eed6895de4f0881640ea8b7f3d3ed2
    z2_theta seed # 5: 7e0fdeeac55d4ceb40d2ab0c2873d530

  cmt_1_alpha: fd4715cf96cad377ff8fc634f9ab551fdbd8ce9092259003a9d3485feb5cac08

  response round 30

   z1: 818 841 572 306 808 970 163 521 709 445 640 211 644 365 504 297 553 782 779 452 704 18 506 886 270 270 96 610 181 769 1012 595 994 273 728 998 118 103 536 881 161 158 226 200 454 923 547 921 194 136 91 77 458 294 423 875 239 113 17 354 352 504 683 221 740 361 1003 458 457 389 85 822 846 938 565 853 795 962 816 

   z2_pi: 2c0d3f0b0f253933084b340a432e1d26124a4913154136424603053027354e2b0024281e3b47042f381140070637214c312017481f0132102345022a3a194d29443c1c0c0e3e161b3d091a182d2214

   z2_theta
    z2_theta seed # 1: ae218afa34eb049023ecfc28242da759
    z2_theta seed # 2: 0c0f8e5a9f59f660eea1814137aecf11
    z2_theta seed # 3: 2c846a4bc6d3eea5b0425cbf0a2a322b
    z2_theta seed # 4: fc5ee42a91bfd076eb33782ad25096c9
    z2_theta seed # 5: f9d4fa5ee41aa9a784ef911c0ff27674

  cmt_1_alpha: e0f194d977bf2c5242c3d04782c55d0971a6c7ff382049a0e9b53dae393cd9e7

m: 0000000000000000000000000000000000000000000000000000000000000000

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

