How does Risc Zero implement zkVM technology?

Fuente: LBankTiempo: 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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14.27
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3041.58
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3.171
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32.90%
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5.95%
0.00004132
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17.64
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0.000385
-0.26%
22.55
1.21%
2.092
-2.47%
0.003048
0.03%
0.1766
4.99%
0.03003
-9.41%
0.00533
-19.97%
0.0000449
-14.15%
0.0009508
-0.65%
0.4311
-2.44%
0.0377
3.57%
0.3306
-7.08%
0.5485
-3.52%
0.02492
-6.53%
0.1740
0.75%
0.5404
2.70%
0.000722
-14.35%
0.01464
3.03%
0.007183
-22.19%
0.5383
-6.50%
0.001976
10.02%
0.520
2.36%
19.096
0.38%
0.005725
-0.88%
5.364
-2.90%
0.000808
5.90%
0.010258
-6.57%
5.02
-3.09%
0.1257
-20.14%
0.01392
-10.88%
0.02546
-7.25%
0.8950
0.12%
0.0500
-27.85%
0.6858
0.19%
0.000720
6.04%
0.259
-3.36%
0.01514
-1.37%
0.00395
-0.25%
327.6
-3.19%
0.000145
-33.18%
0.0000601
-9.08%
0.00000003810
0.50%
1.0952
8.78%
0.011236
-5.28%
0.00789
-7.93%
0.0042
0.00%
6.5605
6.85%
144.24
6.94%
0.00493
-2.57%
0.6376
4.37%
0.04113
-7.11%
0.1092
-2.41%
0.0000199
-1.00%
6.934
6.58%
0.1018
-1.74%
5.671
-2.89%
0.002910
2.00%
0.01659
-4.71%
0.01601
-16.13%
0.001248
-33.15%
0.539
-4.77%
0.1102
-2.39%
0.01190
-6.96%
0.00112
-20.57%
0.0446
-2.62%
0.05770
1.05%
0.000813
-1.09%
0.01482
-5.73%
0.0022511
-6.58%
0.00917
-4.68%
0.0121
-9.02%
7.294
-2.43%
41.89
-2.29%
0.03261
-6.93%
0.03153
-4.69%
0.002825
-10.86%
0.003143
25.62%
0.0000001252
3.56%
1.3374
-0.62%
0.07754
-2.69%
0.809
-2.65%
0.0775
-7.30%
0.5095
-4.34%
0.1613
-5.06%
1.720
-5.34%
0.008775
-12.91%
0.03594
-7.87%
0.000084
180.00%
0.01652
-3.34%
0.006805
-26.80%
0.1418
-2.81%
0.00000400
2.04%
0.003482
-5.61%
0.0063
-17.11%
0.0066
0.00%
0.000626
-2.34%
0.0438
-0.68%
0.00000000000027
-22.86%
0.0220
-20.86%
0.002698
-0.15%
0.504
-4.55%
0.2006
-2.29%
0.000430
-14.34%
1.1032
-9.56%
0.0593
-2.95%
0.12706
-6.29%
0.005298
-2.72%
0.00007709
-3.84%
0.00108
-1.82%
0.00000001357
1.19%
0.0884
-3.18%
0.0021
-4.55%
6.60
-4.07%
0.000426
23.84%
0.0002542
-6.20%
0.0000000266
10.37%
0.000259
-2.26%
0.01541
1.38%
0.03968
0.08%
0.0000000001944
4.52%
0.2168
1.88%
0.000844
-1.29%
0.05237
-8.01%
0.2281
-9.98%
0.000950
2.37%
0.01050
9.49%
17.84
-1.55%
245.1
-6.49%
0.00379
-6.65%
0.0715
-7.86%
0.006199
-4.44%
0.8564
9.25%
0.00269
-14.33%
0.0000514
6.64%
0.069999
312.05%
0.413
-2.82%
0.01185
-19.77%
0.0000000299
6.41%
0.768
-1.66%
0.1981
-3.18%
0.5333
0.70%
1.1229
-2.57%
0.001900
-3.50%
0.0277
-6.73%
0.00420
-6.25%
0.4277
-5.29%
0.1691
-14.77%
0.000881
-10.01%
0.01849
-1.65%
0.00000632
-2.77%
0.00210
-25.00%
0.002355
-1.46%
0.8889
-0.18%
0.3378
-5.14%
0.355
-5.59%
0.00025720
-1.42%
0.01970
35.58%
0.000972
-5.17%
0.002025
-14.16%
0.001376
-4.51%
0.0000838
17.70%
0.0502
-4.74%
29.48
-1.63%
2.001
-1.77%
2.659
-13.95%
0.012601
-1.64%
0.0074
-1.33%
12.12
-2.88%
0.0005577
-7.53%
0.06597
-32.79%
9.68
-0.82%
0.000000000253
0.40%
0.01273
-1.01%
0.07312
-4.88%
0.468
0.65%
0.7792
-2.16%
0.00388
-9.56%
1.476
2.29%
0.509
-2.86%
0.793
-4.92%
0.0000000653
5.66%
0.635
-3.93%
0.0123
-4.65%
0.1078
-7.15%
0.003381
30.59%
0.000000000001632
-0.55%
12.77
-13.48%
0.7669
-0.04%
0.01543
-3.14%
0.000491
-4.47%
0.0928
-4.03%
0.000000459
-2.55%
0.001776
-4.62%
0.1965
-3.49%
0.0809
-3.58%
0.001401
-19.85%
0.17724
2.65%
2097.61
-1.64%
3.1866
-7.18%
0.001576
-11.91%
2.185
0.55%
0.2022
-1.84%
0.01222
-2.32%
0.0000000000000138
0.00%
0.0107
0.94%
0.09795
-2.12%
0.0359
-3.23%
0.00001100
21.15%
9.63
-0.62%
0.1842
-1.39%
0.00336
-1.75%
0.3350
-0.86%
0.0002585
-3.36%
0.01449
4.02%
0.001339
-4.90%
0.000609
-4.40%
0.3600
-0.33%
0.001708
-3.34%
0.00016467
37.31%
0.01780
-5.17%
0.000933
-6.51%
0.02701
-2.14%
0.001613
-3.64%
0.01592
-6.46%
0.1436
-0.83%
0.0006474
-4.26%
0.1456
-3.58%
0.0944
-0.32%
0.0051101
-0.11%
0.0116
-5.69%
0.002388
1.36%
0.05463
0.66%
0.3384
-5.97%
0.000391
-13.50%
0.5004
-3.57%
52.135
0.62%
0.7323
-1.78%
0.0004101
-2.38%
0.00030
-14.29%
0.90
-10.00%
0.0001862
-14.35%
0.000480
-20.13%
0.03182
-4.82%
0.0000087
-9.38%
0.0000000398
-5.24%
0.01051
-6.33%
0.02977
0.78%
0.0000000819
-8.59%
0.0246
-4.28%
0.003961
-0.63%
0.002592
-4.42%
7.18
-3.75%
0.0176
-9.74%
0.01801
-4.05%
0.1820
-3.14%
1.1100
-0.12%
0.0000002889
-3.73%
0.956
0.21%
0.03493
0.00%
0.00148
-14.94%
0.00002285
-0.91%
0.2583
-2.27%
1.2484
-4.76%
0.0262
-1.50%
0.002003
-1.96%
0.0538
-6.11%
0.000000001711
-4.52%
0.003388
-8.01%
0.0000050
21.95%
0.018456
-3.32%
0.03922
-6.73%
0.001894
-3.22%
0.4257
-5.27%
0.002869
-13.84%
0.00000745
-3.75%
0.000672
0.90%
0.00269
58.24%
0.00010005
-15.92%
0.0002536
-0.04%
0.000970
-0.10%
8.09
-3.58%
0.01633
-3.37%
0.00001929
24.29%
0.00000379
-4.05%
0.004259
-11.23%
0.00234
-4.10%
0.001264
-19.90%
0.00956
-16.80%
0.003018
-0.40%
0.00796
-2.93%
0.0000019
5.56%
0.1216
-3.34%
0.1779
-4.20%
0.0000004000
-4.81%
0.05676
-1.61%
0.000201
-68.40%
0.000924
-5.23%
0.0538
10.25%
0.736
-1.60%
0.00251
25.50%
0.03770
-6.91%
0.03085
-2.53%
0.2654
-6.68%
0.015742
-9.04%
0.000000112
-2.61%
0.004154
-3.26%
0.00189
-0.53%
0.0598
-2.29%
0.0099
-13.91%
0.004201
1.06%
0.640
-4.90%
3.327
-3.37%
0.1409
-3.82%
0.00182
1.68%
0.6717
-1.29%
0.00300
2.39%
0.0009012
-0.77%
0.00328
3.80%
0.000043
-2.27%
0.0121
-1.63%
0.000909
-25.55%
0.004395
12.63%
0.00216
-2.70%
1.056
-1.12%
0.4775
-3.98%
17.03
-3.24%
0.00294
3.16%
0.00002166
-3.13%
0.039674
60.03%
0.0000097
-3.96%
0.2857
-2.62%
0.000249
0.00%
0.000693
-2.53%
0.05824
-0.15%
0.00000000000104
2.97%
0.1474
-4.10%
0.004877
-2.87%
0.0463
0.87%
0.2517
-2.71%
0.0863
-2.49%
0.001196
-3.55%
0.01741
-0.40%
1.259
-2.55%
0.00577
-3.19%
0.01252
-2.34%
0.1428
-1.31%
0.032730
0.52%
0.00004
0.00%
0.00000000001497
5.57%
0.01698
-3.52%
0.000000000004529
18.81%
14.5000
624.96%
1.2782
10.53%
2.157
-3.96%
0.0957
-3.24%
0.0000077
-12.50%
0.000000003500
0.00%
0.03930
-6.03%
0.0001543
89.56%
0.000191
-14.73%
0.01021
-4.04%
0.1395
-3.53%
0.18896
-0.02%
0.0594
-8.19%
0.000000000777
-8.37%
0.000514
-7.89%
0.0840
-2.89%
0.00000008207
-0.02%
0.0000000000000150
-17.13%
0.0249
-11.39%
0.0749
-5.31%
0.0426
-3.84%
0.0090
-19.64%
0.000001545
-0.90%
0.0000712
3.94%
0.01646
-2.60%
0.000001608
-0.06%
0.00000000000029
-12.12%
0.003130
-3.31%
0.0001093
-5.29%
0.00263
-7.39%
0.689
-4.17%
101.25
-1.34%
0.01425
-5.50%
0.0798
-15.82%
0.0729
-8.42%
0.2941
-2.39%
0.001089
-0.91%
0.0000000043500
19.94%
0.00669
-4.84%
0.0173
0.00%
0.00000287
-3.37%
0.0585
-5.19%
0.000347
-1.14%
0.05050
-5.02%
0.00009248
-2.92%
0.002160
-2.00%
0.00000000000043
-6.52%
75.8
-3.19%
0.00014
7.69%
0.1175
2.26%
0.0803
-1.11%
0.00602
-7.38%
0.01289
-1.15%
0.3322
-7.21%
0.003151
-1.84%
0.002026
-5.64%
0.00004
0.00%
0.000600
-3.85%
0.001684
-7.37%
0.0000151
1.34%
0.0000429
-1.38%
0.00000000000179
-3.24%
0.0656
-4.79%
0.002139
-9.97%
0.01751
-3.95%
0.6001
0.00%
0.000298
9.16%
0.004144
-3.18%
0.00080
-38.46%
0.1175
3.16%
0.002502
-12.52%
0.704
-2.36%
0.007767
-2.15%
0.0011
175.00%
0.00000000000296
-1.66%
0.0067
15.52%
0.001103
-3.67%
6.146
-2.94%
0.000000002380
-3.02%
0.0073
17.74%
0.01751
-4.16%
0.03129
-7.12%
0.1178
-3.44%
0.0225
-17.88%
0.0203
2.01%
0.00070
1.45%
17.55
-0.17%
0.000086
-7.53%
0.00000000002793
4.69%
0.0000074
-26.00%
0.05414
-2.97%
0.12101
-15.22%
0.00000000000651
6.55%
0.000099
19.28%
0.00669
-6.04%
0.000318
-8.09%
0.00046
31.43%
0.0737
-7.30%
0.0000002198
-9.73%
0.03825
-8.36%
0.0813
-0.25%
1.1034
-4.02%
0.0000816
-18.73%
0.000169
-5.59%
0.0000325
0.00%
0.00838
-2.10%
0.0621
2.31%
0.4087
-1.35%
0.000000000763
-2.18%
0.012518
-0.02%
0.00434
-7.66%
0.000428
2.15%
1206
-3.44%
1.368
-3.80%
0.250257
-0.10%
0.0958
-2.34%
0.00875
-7.01%
2.111
-1.81%
0.9500
-4.78%
0.00003014
-23.93%
14.15
-3.41%
0.1421
-6.82%
14.33
-1.24%
0.0032
3.23%
0.000000000005
0.00%
0.003751
-83.69%
0.0000000144
-8.28%
0.1769
-1.78%
0.000000002001
-0.15%
0.4795
-8.42%
0.00270
0.00%
0.0000000192
-7.69%
0.00000686
-1.72%
1.3406
1.85%
0.0000005
0.00%
0.00000000015725
0.13%
0.000102
-3.77%
0.00638
-6.45%
0.000000000000811
-3.68%
0.00000000000118
-5.60%
0.000583
-0.51%
0.002127
4.88%
0.0006
-14.29%
0.4888
-7.00%
0.000000000551
-0.72%
0.0547
-2.32%
0.1721
0.17%
0.0089
30.88%
0.000292
10.19%
0.1379
-5.87%
0.00000000003421
-9.52%
0.000000000028
7.69%
0.005603
-0.64%
0.04007
5.89%
0.0702
-2.50%
0.000187
6.25%
0.0002109
-61.97%
0.00094
-40.13%
0.002819
12.71%
0.837
-4.56%
0.00481
-0.41%
0.0000057
-47.22%
0.2051
-1.20%
0.000309
-3.44%
0.00002811
0.11%
0.000620
-33.33%
0.0000592
0.00%
0.1184
-15.97%
0.0001245
0.00%
0.00700
0.43%
0.000000000112
15.46%
0.0000690
-1.43%
0.02008
9.85%
0.00005
25.00%
0.5074
3.66%
0.3787
-0.76%
0.00006
50.00%
0.000497
46.18%
0.000901
-9.90%
1.25
1.63%
0.0000274
-0.72%
0.000028
12.00%
0.0368
-2.65%
0.017874
-0.12%
0.1999
-6.98%
0.00233
-7.54%
0.0001
0.00%
0.000055
-26.67%
0.002556
2.73%
0.0001450
10.18%
0.000000036
-2.70%
0.00000000000014
0.00%
0.000258
3.20%
0.000093
1.09%
50.0000
0.00%
0.0378
0.00%
0.0000331
22.59%
0.000025
-3.85%
0.0826
-4.18%
0.000067
0.00%
0.00529
-4.51%
0.2849
-3.59%
0.011926
-25.46%
0.001172
2.45%
0.00000010913
0.00%
0.02686
-3.97%
0.000083
5.06%
0.00000152
1.33%
0.1049
-3.05%
0.02409
-1.79%
0.000120
0.00%
0.000199061
0.29%
0.000400
33.33%
0.3311
-2.22%
0.00042
-57.58%
0.001150
0.00%
0.0020
0.00%
0.000000000031
24.00%
0.0000077
-2.53%
0.0060
-31.82%
0.000015
0.00%
0.00005
0.00%
0.001100
-47.62%
0.001989
0.00%
0.00043998
-1.83%
0.00000000000793
-0.63%
0.00004399
0.00%
0.000000000374
0.00%
0.000054
20.00%
0.0023
9.52%
1.268
-8.45%
0.0482
-3.79%
0.0740
-0.54%
0.0819
-4.10%
0.02282
-4.80%
0.1014
-12.44%
0.01533
-2.48%
0.00679
-0.15%
0.6880
4.77%
0.002335
-1.81%
0.001311
-9.02%
0.2252
-3.72%
58.5600
0.00%
0.00004316
-6.30%
0.6250
-2.30%
0.0957
-3.04%
0.000698
-1.13%
0.0004921
-0.49%
0.0006421
0.00%
0.0254
0.00%
4.7388
-6.40%
0.00600
0.00%
0.003584
-2.85%
0.000343
-3.65%
0.00600
0.00%
0.0007993
0.00%
6.198
-0.97%
0.0000496
0.00%
0.0375
3.02%
0.000040
0.00%
0.02302
-1.79%
0.3995
-0.32%
0.00256
-0.39%
0.0023
0.00%
0.00262
0.00%
1900.00
0.00%
0.001151
0.26%
0.02920
-2.08%
0.00413
-0.24%
0.2112
-2.49%
0.0702
-6.02%
0.00000286
-2.72%
0.00992
7.13%
0.2626
-3.06%
3.25
-3.85%
0.414
0.00%
0.1062
-10.23%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
1.887
2.28%
2.922
-2.79%
2.888
-1.33%
0.000000185
0.00%
0.0001030
0.00%
0.06015
4.19%
0.00093
0.00%
0.6278
-1.54%
0.0814
-4.35%
0.0315
-3.08%
0.0700
0.00%
0.001155
1.05%
0.00000083
1.22%
0.000216
0.00%
0.524
-3.68%
2.179
0.00%
1.675
-0.65%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.0011
0.00%
0.4424
0.00%
0.1191
-4.26%
0.2166
-4.12%
0.0422
-2.54%
0.05885
-1.87%
0.9746
0.00%
0.0071
0.00%
0.599
0.00%
0.000210
0.00%
0.0731
-5.19%
0.00787
-2.36%
0.01471
-0.61%
0.1811
-9.63%
7.72
-0.26%
0.1837
-3.26%
0.000287
0.00%
0.0272
0.00%
0.00000043
-2.27%
0.1204
0.00%
2.609
-0.84%
0.1047
-2.88%
0.006000
0.00%
0.000300
0.00%
0.00035
0.00%
0.0004
0.00%
0.00033
0.00%
0.000014
0.00%
0.001593
0.00%
0.000365
0.00%
0.001200
0.00%
0.0059
0.00%
0.0000002593
0.00%
0.000009
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.001405
0.00%
0.2468
0.28%
0.000483
-1.23%
0.000902
0.00%
0.0229
-9.49%
0.000000000774
-3.37%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.000453
0.22%
0.004025
0.00%
0.00000000055
1.85%
0.0107
7.00%
9.770
-0.76%
0.00000093
-1.06%
0.0000000104
0.00%
0.000851
0.00%
0.00000006
0.00%
0.00000000001676
0.00%
0.001000
0.00%
0.0000000137
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.00027
3.85%
0.0000030
0.00%
0.000411
0.00%
0.0115
0.00%
0.000310
0.00%
0.000266
0.00%
0.3284
0.00%
0.0066
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000000000412
-0.24%
0.00000011
0.00%
0.0000006154
-15.99%
0.00023879
0.00%
0.000758
0.00%
0.001000
0.00%
1.6799
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.0010
0.00%
0.0000241
0.00%
0.00030
0.00%
0.001963
0.00%
0.00000055
0.00%
0.2994
0.00%
0.00006767
0.00%
0.0055
0.00%
0.00005458
0.00%
0.001263
0.00%
0.001349
0.00%
0.00171
0.00%
0.0199
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.00006
0.00%
0.000015
0.00%
0.000024
0.00%
0.001234
0.00%
0.000449
0.00%
0.0066
0.00%
0.0010
0.00%
0.0004
0.00%
0.0007
0.00%
0.0240
0.00%
0.000522
0.00%
0.0013
0.00%
0.020834
0.00%
0.4998
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%
0.000850
0.00%
0.000383
0.00%
0.00009909
0.00%
0.01170
0.00%
0.001000
0.00%
0.0005
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%
0.002935
0.00%
0.0200
0.00%
0.0093
0.00%
0.0006
0.00%
65.1101
0.00%
3.7189
0.00%
0.003015
0.00%
0.00000013
0.00%
0.000082
0.00%
0.0072
-1.37%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.00010977
0.00%
0.0131
0.00%
0.0016
0.00%
0.0745
0.00%
0.002461
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.0150
0.00%
0.0036
0.00%
2.2915
0.00%
0.0004
0.00%
0.03000
0.00%
0.000946
0.00%
0.000000001497
0.00%
0.004769
0.00%
0.0002041
0.00%
0.0494
0.00%
0.0096
0.00%
0.04500
0.00%
0.000269
0.00%
0.0502
0.00%
0.004369
5.79%
12.1112
0.00%
1.76670591
0.00%
0.0009
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000000000270
0.00%
0.0000002850
0.00%
0.0001
0.00%
0.6700
0.00%
0.00010
0.00%
0.0500
0.00%
0.000450
0.00%
0.00007
0.00%
0.01989
0.00%
0.0027
0.00%
0.0016
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.0440
0.00%
0.3515
0.00%
0.00125
0.00%
0.000445
0.00%
0.4900
0.00%
0.000034
0.00%
0.9900
0.00%
0.5000
0.00%
0.010100
0.00%
0.0059
0.00%
0.88686
0.00%
0.00084
0.00%
0.0000285
0.00%
1.1760
0.00%
0.000978
0.00%
0.00910
0.00%
0.00010
0.00%
0.03786
0.00%
0.01463
0.00%
0.01310
-0.76%
0.0000104
2.97%
0.00614
0.00%
0.04859
0.00%
0.4606
0.00%
0.00021
0.00%
0.001800
0.00%
0.0000007
0.00%
0.000001635
0.00%
0.00133
0.00%
0.01200
0.00%
0.00000000070
0.00%
0.00010
0.00%
0.000001000
0.00%
0.00200
0.00%
0.0000008
0.00%
0.01050
0.00%
0.00400
0.00%
0.0000146
0.00%
1.0000
0.00%
0.34211
0.00%
0.3000
0.00%
0.00162
0.00%
0.00036
0.00%
0.001277
0.00%
0.03520
0.00%
3.3999
0.00%
0.0000023
0.00%
0.000000005
0.00%
0.00808
0.00%
0.000313
0.00%
0.0000031
0.00%
0.0007240
0.00%
0.00003
0.00%
0.00000052
1.96%
0.00098
0.00%
0.00200
0.00%
0.00000007783
0.00%
0.0032
0.00%
0.3167
0.00%
0.000495
0.00%
0.00049
0.00%
0.00021
0.00%
0.00014906
0.00%
0.007210
0.00%
0.00635
0.00%
0.0900
0.00%
0.000000000008
0.00%
0.000506
0.00%
0.01030
0.00%
0.004004
0.00%
72.00
0.00%
0.0000269
0.00%
0.0000996
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.0005
0.00%
0.000107
0.00%
0.7997
0.00%
0.000000000128
0.00%
0.000426832
0.00%
0.000000425
0.00%
0.00911
0.00%
0.1600
0.00%
0.00649
-0.31%
0.0000269
0.00%
0.1197
0.00%
0.00052
0.00%
0.0030886
0.00%
20.3888
0.00%
0.000510
0.00%
0.00218
0.00%
0.002700
0.00%
0.00290
0.00%
0.0587
-0.34%
0.2310
0.00%
0.0000450
0.00%
0.00639
0.00%
0.4500
0.00%
1.4371
0.00%
0.3668
0.00%
0.003000
0.00%
0.250
0.00%
0.3625
-2.84%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0655
1.55%
0.000000000833
0.24%
0.00500
0.00%
3.79
0.00%
0.01092
-2.41%
0.0020
0.00%
0.00538
0.00%
0.004970
-2.28%
0.5001
-1.46%
0.000000001841
0.00%
4522.00
0.00%
1.450
-2.95%
0.0091
0.00%
0.0346
-0.86%
0.417
-0.48%