How does Risc Zero implement zkVM technology?

Джерело: LBankЧас: 2025-03-19 01:48:49

How Risc Zero Implements zkVM Technology

Risc Zero is at the forefront of blockchain innovation, utilizing cutting-edge zkVM (zero-knowledge virtual machine) technology to enhance security and privacy in smart contract execution. This article delves into the mechanisms behind Risc Zero's implementation of zkVM technology, exploring its core components and their significance in the blockchain ecosystem.

Understanding Zero-Knowledge Proofs

At the heart of Risc Zero's technology lies zero-knowledge proofs, specifically leveraging zk-SNARKs (Zero-Knowledge Succinct Non-Interactive Argument of Knowledge). These cryptographic proofs allow one party to prove to another that a statement is true without revealing any additional information about that statement.

This capability is crucial for maintaining confidentiality while ensuring trustworthiness. In practical terms, it means that computations can be verified without disclosing sensitive data involved in those computations. For instance, a user can prove they have sufficient funds for a transaction without revealing their entire account balance.

The Role of the Virtual Machine

The zkVM serves as an advanced virtual machine designed specifically for executing smart contracts securely and privately. Unlike traditional virtual machines where all data may be exposed during execution, Risc Zero’s zkVM ensures that sensitive information remains confidential throughout the process.

This secure environment allows developers to create decentralized applications (dApps) with confidence, knowing that their users' data will not be compromised during contract execution. The transparency provided by this system also enables auditing processes without sacrificing user privacy.

Ensuring Security Through Tamper Resistance

Security is paramount in any blockchain platform, especially when dealing with financial transactions and sensitive data processing. By employing zk-SNARKs within its architecture, Risc Zero guarantees that all computations are secure against tampering or unauthorized access.

This tamper resistance is achieved through cryptographic techniques inherent in zero-knowledge proofs which validate operations while keeping underlying details hidden from potential attackers. As a result, users can engage with confidence knowing their transactions are protected against fraud or manipulation.

Pioneering Privacy Measures

The implementation of zero-knowledge proofs directly contributes to enhanced privacy on the Risc Zero platform. Users only disclose necessary information required for specific transactions or verifications—nothing more. This selective disclosure model helps maintain user anonymity while still allowing participation in transparent blockchain activities.

This focus on privacy aligns perfectly with growing concerns over data protection and personal security within digital environments—making Risc Zero an attractive option for users who prioritize confidentiality alongside functionality.

A Scalable Solution for Blockchain Applications

An essential aspect of any successful blockchain platform is scalability—the ability to handle increasing amounts of work efficiently as demand grows. The integration of zkVM technology allows Risc Zero to execute smart contracts swiftly while maintaining high levels of security and privacy.

This efficiency makes it suitable not just for small-scale applications but also large-scale deployments where numerous transactions occur simultaneously without compromising performance or safety standards—a critical factor as industries increasingly adopt blockchain solutions across various sectors such as finance, healthcare, and supply chain management.

Conclusion

Risc Zero’s innovative use of zkVM technology represents a significant advancement in how smart contracts are executed on blockchains today. By harnessing zero-knowledge proofs through robust cryptographic methods like zk-SNARKs within its virtual machine framework, it offers unparalleled security measures alongside strong privacy protections—all while ensuring scalability suited for future growth demands.
In summary: With these features combined into one cohesive system; organizations looking towards adopting decentralized technologies can do so confidently knowing they have chosen a platform built upon principles prioritizing both integrity & discretion!

Technical Study
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0.59%
0.3112
1.63%
336.5
-0.30%
0.357
-3.25%
0.000119
0.00%
0.00719
0.14%
0.003902
18.93%
0.01854
2.60%
0.001601
41.18%
1.6328
-32.72%
0.1820
-0.82%
10.939
37.32%
10.62
-0.28%
0.001506
-7.61%
1.7629
-0.53%
0.00029883
5.38%
0.6962
-1.46%
0.00360
44.00%
0.00000000009578
2.86%
0.25605
-7.08%
2.954
1.76%
0.650
2.36%
0.4383
3.64%
0.0002438
-8.86%
0.004931
-1.14%
0.00365102
0.99%
0.000283
-8.41%
0.002126
27.69%
0.00484
2.98%
0.00875
-5.61%
0.002690
-11.45%
0.04868
0.35%
0.000366
-1.61%
0.000742
4.51%
0.001939
81.38%
0.02346
-2.49%
0.3187
-0.81%
0.1500
-1.06%
0.000373
-4.85%
0.00010326
11.12%
0.00850
-14.23%
0.06064
-3.97%
0.020532
5.13%
0.0590
22.66%
0.01085
-15.96%
1.027
-2.65%
0.6420
-21.76%
0.01466
0.21%
0.7478
-6.62%
0.1097
0.55%
0.00004153
2.29%
6.118
-0.23%
0.0002887
-0.69%
0.000209802
-1.11%
0.000000001497
0.00%
0.001062
-8.68%
0.00000466
-6.80%
0.002497
-4.91%
0.000702
-11.25%
0.00806
-5.62%
0.000240
-2.44%
0.4368
8.55%
0.03899
-6.97%
0.000102
6.25%
44.64
0.00%
5.918
-2.36%
0.02591
-10.59%
0.01803
1.35%
17.409
-0.98%
2.209
0.18%
0.1530
1.46%
0.1427
-6.36%
0.63426
8.69%
0.00006677
1.38%
5.40
-2.35%
0.0686
-4.19%
0.5222
-2.77%
0.001027
-6.30%
0.0000215
-2.71%
0.001426
-10.48%
0.1215
-4.33%
31.27
1.00%
0.00009726
15.79%
0.002077
-11.28%
0.0088
-6.38%
0.001619
1.44%
0.0938
0.00%
0.013159
-0.81%
0.00493
-0.80%
0.000001632
-2.80%
0.00000003811
-1.50%
0.000616
-10.60%
0.892
-0.89%
0.006011
-22.15%
0.2517
-0.59%
0.05921
-5.99%
0.5842
1.27%
1.1744
-0.78%
0.05118
6.74%
3048.60
-0.49%
0.000389
18.24%
0.2686
-16.89%
1.5019
-0.58%
0.07801
6.80%
0.0003215
-2.75%
0.0000046
17.95%
5.740
-2.68%
0.0058
-12.12%
0.00097
3.19%
0.009374
-2.65%
0.1795
-7.47%
0.3478
-2.74%
0.004762
-24.68%
0.000000000248
-2.36%
0.06321
-2.57%
0.01189
-0.25%
7.71
-3.87%
0.2154
-1.42%
7.6496
-5.29%
0.1390
0.65%
0.004795
15.46%
0.0480
-0.62%
0.00136
7.94%
1.2947
-4.43%
0.2609
-6.49%
0.725
0.55%
2.395
-0.46%
0.552
-1.95%
0.002043
-8.59%
0.02074
-5.12%
0.85382
0.00%
0.0042
0.00%
1.044
1.56%
0.0398
2.58%
0.3336
8.81%
0.002818
1.62%
0.02641
-5.14%
0.4024
-11.91%
166.84
0.02%
0.00261
0.77%
0.003901
7.52%
0.1212
4.66%
0.00617
-1.28%
1.997
1.78%
0.2082
-2.62%
0.01864
2.42%
0.03696
-9.61%
0.021933
-2.52%
0.05272
17.16%
0.002306
-10.52%
0.3455
-3.63%
0.5446
-4.31%
0.0235
-0.42%
1.5769
-2.32%
0.01100
-15.77%
0.1079
-1.10%
0.00000001316
-0.60%
0.0005515
-5.73%
6.4888
62.18%
0.0000003092
-3.38%
0.001286
-3.81%
0.03931
-3.53%
2.356
-2.12%
0.00003162
0.86%
0.279
-1.41%
0.03446
-3.20%
0.002928
-7.90%
0.003174
-0.06%
0.00002642
3.04%
0.6035
-6.04%
0.004724
-4.16%
0.0000000806
-0.74%
0.003921
-5.84%
9.796
0.27%
0.000870
3.20%
0.006889
44.51%
0.0006622
-1.00%
0.00016984
-15.08%
0.0275
-8.33%
0.00707
-0.84%
0.776
0.39%
0.013039
1.13%
0.000002570
-10.23%
0.1453
-0.55%
0.19635
-5.09%
0.0117
7.34%
0.2123
-1.39%
0.006104
-7.84%
0.000642
9.56%
0.01458
-17.44%
0.676
-2.17%
0.008000
2.56%
6.5391
-3.30%
0.012770
-1.77%
0.6410
-2.54%
0.001150
2.13%
1.376
-2.69%
0.05496
5.57%
0.01485
1.71%
0.001845
1.21%
0.03141
0.26%
0.018906
5.54%
0.2826
-1.94%
0.1048
-0.10%
0.0030
-3.23%
0.01431
-14.67%
0.4728
-3.09%
0.002953
-0.84%
0.00152
27.73%
0.0005063
-9.18%
0.0000509
4.30%
0.002010
-14.47%
0.0813
-0.37%
0.1009
-0.98%
0.0109
2.83%
0.07707
2.57%
0.003999
-0.50%
0.13474
-1.96%
0.02240
-20.71%
0.428
0.23%
0.0779
-3.23%
0.00005016
1.07%
3.0345
-2.13%
0.0007166
-6.02%
7.061
-1.16%
0.03046
-7.86%
0.001527
-7.62%
0.00000816
1.87%
0.011992
-4.22%
0.0000745
13.05%
0.1925
-2.83%
0.00000001564
2.62%
0.04258
-29.41%
0.0004486
6.13%
0.03458
-4.40%
0.0464
-0.85%
0.2219
-1.11%
0.2999
-0.20%
0.00000021520
-30.58%
0.00005507
-4.03%
0.003405
-2.24%
0.626
-0.32%
2.329
-0.34%
0.00967
7.92%
0.0002836
-0.21%
2190.46
-0.36%
0.002220
-3.48%
0.0000521
6.98%
1350
6.05%
0.01700
-14.36%
0.00421
0.24%
0.01818
-4.21%
0.000001661
-0.78%
0.1470
-1.47%
0.0007500
-20.06%
0.825
-0.24%
19.24
-1.38%
0.7614
-0.24%
0.004273
0.42%
0.1591
-2.69%
0.1010
-3.72%
0.000349
-9.82%
0.000934
-11.47%
0.7620
-0.09%
0.912
-0.55%
0.007260
-0.32%
23.591
-1.48%
0.000000517
0.39%
0.02984
0.44%
0.2784
-1.35%
0.03000
0.00%
0.11737
5.32%
0.00002484
-3.98%
0.1037
-1.71%
0.004427
-10.40%
77.0
-2.28%
0.004401
-3.17%
0.0002212
-24.69%
0.0000000000000159
-11.17%
2.253
3.30%
0.002352
-0.34%
0.01244
-5.47%
0.0098
-2.00%
0.0000086
-5.49%
3.480
-1.83%
0.002112
0.62%
0.2779
3.85%
0.01854
-6.83%
0.7419
-3.17%
0.2138
-1.20%
0.0051018
0.07%
25.0000
-0.44%
0.01595
-14.20%
0.1107
-1.07%
0.0361
-0.82%
0.000023
-4.17%
0.2228
-1.11%
0.0001532
-24.90%
0.0004858
22.03%
0.0102
-1.92%
0.0000699
145.26%
0.0546
0.55%
0.0000002725
-31.24%
12.31
-0.49%
0.003922
-18.55%
0.489
1.45%
0.3335
-0.30%
0.002920
-6.68%
1.4478
0.57%
0.000001977
-11.54%
0.00000000115
51.32%
0.003496
1.63%
0.00807
6.89%
0.0000266
-1.12%
0.2112
-0.89%
0.03862
-13.52%
0.0000000002103
0.96%
0.001965
-0.96%
0.0000763
-9.81%
0.0008159
-7.73%
0.919
1.43%
0.0065104
-32.18%
0.003444
-0.40%
0.0571
-3.06%
0.03945
-8.51%
1.272
-0.55%
0.0771
0.13%
0.01479
2.07%
0.0001786
114.41%
0.02683
0.90%
0.05691
-0.56%
0.2863
-4.57%
0.05835
-2.72%
0.002473
3.34%
0.001300
-27.90%
3.40
-3.68%
0.001910
0.95%
0.000000000598
-3.55%
17.60
-1.40%
0.1762
-1.01%
0.0765
-1.03%
0.000000000000899
-5.57%
0.000000001818
-4.62%
0.1120
-6.04%
0.000000000667
-6.45%
0.0006357
-2.26%
0.0484
0.21%
0.001302
-4.62%
0.0000086
-2.27%
0.004973
-10.20%
0.3639
-3.01%
6.4959
-8.71%
0.005149
-3.59%
0.003912
0.00%
0.00120
-8.40%
0.1096
-1.88%
0.1703
-2.18%
0.0382
50.39%
0.001172
-4.01%
0.09000
-21.62%
0.00010610
-0.01%
0.00000000015505
-1.19%
0.0260
-1.89%
0.032781
-4.33%
0.00009300
-27.34%
0.02796
0.07%
0.00000000001738
5.59%
0.1540
-4.41%
0.0000000626
0.48%
0.0004089
5.69%
18.14
-0.77%
0.0168
-1.18%
0.00533
-1.48%
0.0000000516
-2.64%
0.00003
0.00%
0.000000002127
4.47%
0.0111
0.91%
0.02513
-0.71%
0.0004
-33.33%
15.12
-3.39%
0.001338
-2.83%
0.0022867
-5.35%
0.01290
-1.75%
0.959
-10.54%
0.000030
0.00%
0.013605
0.05%
0.0063
-1.56%
0.0667
-4.17%
0.9161
-0.35%
0.00000724
0.00%
0.660
-3.51%
0.000107
-2.73%
0.000261
61.11%
0.006144
1.00%
0.000000000001766
-0.62%
0.0007600
-6.00%
0.00908
-0.44%
0.0196
2.08%
0.0000018
-10.00%
0.000504
44.00%
0.002701
0.04%
0.00000395
-5.05%
0.000258
-15.96%
0.0006856
-2.17%
0.0936
-3.51%
0.00725
-1.09%
0.0952
20.51%
0.0000000030204
-29.16%
0.0002384
-3.72%
0.000012
-60.00%
0.00306
0.00%
0.0000000175
15.89%
0.0926
-2.94%
0.00000000001067
1.33%
0.00006107
-37.58%
0.01689
-0.59%
0.008231
0.00%
0.001034
0.10%
0.803
-0.37%
0.04024
2.26%
0.0000235
0.00%
0.01116
-12.33%
0.000000000003
-25.00%
0.00000000000012
-53.85%
0.01303
-21.03%
0.1434
-5.60%
8.16
-1.21%
0.00000926
0.00%
0.0111
-5.13%
0.2598
-4.56%
1.530
-1.16%
0.00866
-6.07%
0.00685
-20.81%
0.00237
-15.96%
0.0437
-1.35%
0.3788
-2.19%
84.58
-8.48%
0.05024
-4.58%
2.51
97.64%
0.1281
-1.69%
0.000716
-13.53%
0.000787
-5.18%
0.002013
0.00%
0.0338
-2.31%
0.0000013
85.71%
0.01333
-0.67%
0.01084
-3.13%
0.0048
-26.15%
0.0000239
-5.53%
0.0987
1.02%
0.000835
-0.95%
0.0000650
0.15%
0.05865
-0.78%
0.169000
-26.52%
0.249
-17.00%
0.0568
-3.24%
0.004230
0.93%
0.1172
-1.10%
0.1352
-0.66%
0.1291
-1.90%
18.61
0.54%
0.3892
-1.72%
0.000852
-6.78%
0.000090
5.88%
0.00003
-50.00%
0.003592
-13.40%
450.00
80.00%
0.00650
0.00%
0.0096
6.67%
0.05804
-0.14%
0.0000119
-15.00%
0.03326
3.45%
0.02944
-1.74%
0.00013
-7.14%
0.01050
0.00%
1.489
-2.49%
0.01676
-1.41%
0.0018
5.88%
0.000025
-3.85%
1.672
-3.13%
0.00027
0.00%
0.001437
-12.75%
0.0002201
-8.37%
0.00093
-27.91%
0.000189
-6.90%
0.02064
2.23%
0.002336
-3.91%
0.03745
-0.87%
0.00000000000099
4.21%
0.000000000003846
-15.08%
0.00000000000212
19.77%
0.0515
-3.20%
0.00000000000012
0.00%
0.735
-1.47%
0.002242
-9.12%
0.0944
-3.28%
0.000037
-17.78%
0.0000061
0.00%
0.000001624
-3.22%
0.0868
-0.46%
0.1288
-13.85%
0.00000055
0.00%
0.00002269
-0.13%
0.01285
-1.61%
0.00036
0.00%
0.0000000000000163
0.62%
0.000025
78.57%
0.0122
-8.96%
0.000076
-10.59%
0.0590
1.72%
0.0391
-1.76%
0.0810
-1.82%
3.027
-0.85%
0.0009039
-9.15%
0.0004418
-4.16%
0.02942
-6.78%
0.0694
-1.84%
0.0547
1.30%
0.0001
0.00%
0.0891
1.48%
0.1529
-0.39%
0.000017
21.43%
0.0000099
0.00%
0.537
-1.65%
0.000000000030
-57.14%
0.00000000000651
-0.15%
0.0352
-1.12%
0.000004
-55.56%
0.001100
-3.25%
0.750
0.00%
0.1355
-0.95%
0.003638
-10.02%
0.00004089
-1.64%
0.0119
-2.46%
0.001761
-5.07%
0.0000006650
0.17%
0.00000000000115
0.00%
0.0000138
39.39%
0.001025
-9.77%
0.1904
-2.21%
0.00040
11.11%
0.8430
0.11%
0.0007
-41.67%
0.00025
4.17%
0.1930
-1.68%
0.0820
-3.98%
0.00608
63.88%
0.001790
0.00%
0.00220
-8.33%
0.0370
-3.39%
0.2993
-0.03%
0.00000007
-41.67%
0.0001402
-0.07%
0.0005
0.00%
0.001045
-7.52%
0.00004
0.00%
0.491
-4.10%
0.0001553
1.84%
0.0000002180
-0.59%
0.00242
-7.98%
0.0000310
-0.64%
0.0004481
-15.15%
0.006271
-6.89%
0.1478
-1.79%
0.0006730
-6.04%
0.0066
3.13%
0.003538
-5.05%
0.00000000003011
79.65%
0.5373
-8.96%
0.0014
55.56%
0.00000314
-4.56%
0.000062
40.91%
0.0000329
0.00%
0.0000088
-1.12%
2.978
-2.10%
0.001230
-0.97%
0.000003221
101.31%
0.00000000054
1.89%
0.0000000191
0.53%
0.0182
0.00%
0.0009
0.00%
0.0700
39.44%
49.849
-1.49%
0.00011
-8.33%
0.0617
-2.99%
0.3905
24.72%
0.00000042
-4.55%
0.000000105
0.96%
0.0108
10.20%
0.0005
25.00%
0.01299
-1.59%
0.7000
0.00%
0.00000000000288
-0.35%
11.5002
-4.96%
0.0026
0.00%
0.00009
-10.00%
0.000198
-1.49%
0.000000000019
72.73%
0.3578
-8.26%
100.71
-0.94%
0.01200
0.00%
0.00011
-15.38%
0.003216
-11.53%
0.0027
0.00%
0.3063
0.00%
0.00004399
0.00%
0.000000000107
-9.32%
0.00000007783
0.00%
0.000400
-20.00%
0.00000000003497
0.29%
0.000000000770
-3.87%
0.000056
-37.08%
0.00077
-8.33%
0.000450
-1.53%
0.000092
6.98%
0.000000001868
-0.05%
0.00011
0.00%
0.000000000748
-4.59%
0.0475
-3.85%
0.00006
-40.00%
0.00774
12.34%
0.000000000375
0.27%
0.000194912
2.38%
0.000028
-15.15%
0.00000000000039
2.63%
0.00000000000403
6.33%
0.000000008400
0.00%
0.000000000533
0.00%
0.000000002418
1.90%
0.000000039
2.63%
0.000000000129
0.78%
0.00030000
-14.29%
8.98
-2.29%
0.00000152
4.83%
0.0231
-6.85%
0.0000297
-12.13%
0.000033
-13.16%
0.001500
0.00%
0.2240
-1.19%
0.0562
28.60%
0.01099
-7.26%
0.001650
50.00%
0.00021
0.00%
0.00083
0.00%
0.0085
41.67%
0.000700
38.34%
0.0000017
-41.38%
0.0000010
42.86%
0.0812
-1.69%
0.005132
-3.75%
0.02325
-14.74%
1.2808
-0.06%
0.01480
-7.38%
0.1174
-1.84%
0.0003839
-6.07%
0.4914
0.47%
0.10597
1.59%
0.1380
-3.90%
0.3728
-2.46%
0.003338
-11.46%
0.2580
1.26%
58.5600
0.00%
0.0597
0.67%
0.0004536
-13.27%
0.0911
-4.61%
0.0005077
-3.83%
0.0003220
0.00%
0.002602
-6.54%
0.0009012
0.00%
0.0004038
-4.11%
0.00600
0.00%
0.0007993
0.00%
6.197
-0.29%
0.2232
1.32%
0.0000675
-0.74%
0.0000397
0.00%
0.002786
-5.46%
0.0012
0.00%
0.7734
-3.13%
1899.00
0.00%
0.4410
-7.24%
0.5994
-2.35%
0.0482
4.33%
0.00426
4.67%
0.00220
-5.58%
0.2086
-2.39%
2.5129
0.00%
0.470
2.62%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
1.878
-1.11%
0.0562
-3.60%
0.000000100
0.00%
0.0001030
0.00%
0.00103
0.00%
0.6801
5.72%
0.0700
0.00%
0.00000000003010
63.06%
0.001127
-3.26%
0.00000093
13.41%
0.1531
-0.39%
0.01924
-0.21%
0.1908
-2.50%
0.000216
0.00%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
6.446
-1.01%
0.000076
-7.32%
0.4424
0.00%
0.000390
0.26%
0.0071
0.00%
0.000210
0.00%
14.18
0.42%
0.0763
-3.54%
0.1142
-1.04%
0.1774
-0.17%
0.004298
-0.81%
0.000452
0.00%
0.0272
0.00%
0.1204
0.00%
2.708
1.42%
1.120
2.28%
0.006000
0.00%
0.000300
0.00%
0.0025
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0064
0.00%
0.0000002593
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.000024
0.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.001405
0.00%
0.2464
0.20%
0.000492
2.29%
0.000902
0.00%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.004025
0.00%
0.00000100
0.00%
0.0000000104
0.00%
0.000685
0.00%
0.00000006
0.00%
0.001000
0.00%
0.0000000053
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.000423
0.00%
0.0065
0.00%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0057
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.00023846
0.00%
0.000758
0.00%
0.001000
0.00%
0.000058
0.00%
1.6799
0.00%
0.0920
0.00%
0.000098
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.000118
0.00%
0.0010
0.00%
0.00037
0.00%
0.001963
0.00%
0.00000055
0.00%
0.00006767
0.00%
0.00005458
0.00%
0.001263
0.00%
0.001210
0.00%
0.00171
0.00%
0.0072
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.00007
0.00%
0.001234
0.00%
0.000449
0.00%
0.0066
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.020562
0.00%
0.9990
0.00%
0.0000111
0.00%
0.007000
0.00%
0.000363
0.00%
0.0012
0.00%
0.000792
0.00%
0.001200
0.00%
0.000331
0.00%
0.001050
0.00%
0.000383
0.00%
0.01595
0.00%
0.001000
0.00%
50.0000
0.00%
0.0006
0.00%
0.0786
0.00%
0.001563
0.00%
1.6349
0.00%
0.00000000000540
0.00%
0.000028
0.00%
0.000999
0.00%
0.001801
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
1.448
1.69%
3.7189
0.00%
0.000082
0.00%
0.0073
1.39%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.00008997
0.00%
0.0131
0.00%
0.0013
0.00%
0.1078
0.00%
4.4022
0.00%
0.0745
0.00%
0.002461
0.00%
0.001160
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.020595
0.00%
0.0150
0.00%
0.0036
0.00%
0.1769
0.00%
2.2915
0.00%
0.000257
0.00%
0.000620
0.00%
0.000946
0.00%
0.022345
0.00%
0.4820
0.00%
0.0490
0.00%
0.0096
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.0102
0.00%
0.00007
0.00%
0.01989
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.0650
0.00%
0.3515
0.00%
0.00125
0.00%
0.000446
0.00%
0.4900
0.00%
1.0100
0.00%
0.5000
0.00%
0.010100
0.00%
0.0069
0.00%
0.88686
0.00%
0.05578
0.00%
1.1760
0.00%
0.000561
0.00%
0.1725
0.00%
0.01463
0.00%
0.01451
0.48%
0.00614
0.00%
0.4606
0.00%
0.001800
0.00%
0.000001000
0.00%
0.0000008
0.00%
1.3485
2.81%
0.00390
0.00%
0.0000325
0.00%
0.00000326
0.00%
1.0000
0.00%
0.00455
0.00%
0.34211
0.00%
0.00132
0.00%
0.0000077
0.00%
0.0005
0.00%
0.00146
0.00%
0.001277
0.00%
0.03520
0.00%
0.0000023
0.00%
0.000000005
0.00%
0.000514
0.00%
0.001987
0.00%
0.000313
0.00%
0.0000029
0.00%
0.0007000
0.00%
0.00200
0.00%
0.03455
0.00%
0.0032
0.00%
0.000495
0.00%
0.00049
0.00%
0.00041
0.00%
0.00017800
0.00%
0.007210
0.00%
0.00635
0.00%
0.0900
0.00%
0.00006
0.00%
0.000000000009
0.00%
0.01030
0.00%
0.00240
0.00%
0.00070
0.00%
0.003000
0.00%
0.000310
0.00%
0.0000269
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.000996
0.00%
0.7997
0.00%
0.0001543
0.00%
0.000426832
0.00%
0.00002805
0.00%
0.00776
0.00%
0.1600
0.00%
0.0000245
0.00%
0.000057
1.79%
0.1197
0.00%
0.00056
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.000270
0.00%
0.0668
0.00%
0.000055
0.00%
0.3101
0.00%
0.0000301
-1.31%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.002579
0.00%
0.250
0.00%
0.4446
3.44%
0.3848
-1.89%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0628
2.78%
0.5297
0.32%
0.00500
0.00%
3.58
0.00%
0.01172
1.21%
0.0020
0.00%
0.00538
0.00%
0.4501
1.42%
5155.00
0.00%
2.222
-0.54%
1.502
-2.53%
0.0091
0.00%