How does Risc Zero implement zkVM technology?

แหล่งที่มา: LBankเวลา: 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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0.02622
-1.43%
0.1240
3.77%
0.00065
0.00%
10.52
-0.47%
0.0000000508
20.38%
0.004162
22.77%
7.798
4.63%
0.0002702
-10.23%
0.1848
-4.99%
0.5745
-1.05%
0.003052
1.09%
0.1135
4.90%
0.000377
1.62%
0.3609
12.85%
0.05284
-4.28%
0.00028353
-0.13%
0.007366
7.60%
0.004992
-0.42%
0.04059
4.26%
0.3007
-5.68%
0.000098
22.50%
0.0409
-21.65%
0.00003942
-0.20%
0.5172
-3.40%
0.000025
-3.85%
0.001441
15.10%
0.0307
-0.65%
0.0757
1.75%
0.00000452
2.49%
17.342
-0.46%
0.2783
-2.42%
0.3209
-5.53%
0.000382
-1.55%
0.2137
0.09%
0.013939
3.11%
0.00094
-5.05%
7.8446
12.70%
0.1032
0.98%
17.80
-0.22%
0.1503
1.69%
3.8796
2.39%
1.934
1.74%
0.01467
0.27%
0.02015
-10.40%
0.0025
4.17%
0.00190
1.06%
0.00852
0.95%
0.01830
-3.89%
0.000000001497
0.00%
0.066555
-0.13%
0.000801
10.48%
0.0538
1.13%
0.05856
-0.64%
0.0112
-17.04%
0.000226
-16.30%
0.004020
1.31%
0.005775
3.96%
0.001940
2.37%
0.013771
-8.61%
0.03920
-3.61%
0.0100
-2.91%
0.00240
-10.78%
0.12394
18.00%
0.1945
-7.38%
0.00000000009255
-0.25%
0.00709
3.35%
10.07
-1.85%
0.0000088
-2.22%
0.0000215
7.50%
0.3091
0.26%
0.000088
-28.46%
0.000000000253
-0.78%
0.08299
10.07%
0.00499
0.20%
0.1005
-3.55%
0.906
0.67%
0.1527
-10.60%
0.1593
0.89%
0.01267
0.48%
0.000832
-1.42%
0.003360
-4.79%
0.000540
-2.35%
0.700
0.00%
0.0066
-2.94%
0.1941
-1.17%
0.001272
-30.11%
0.00008023
1.16%
0.01644
-7.59%
0.00004134
-2.87%
8.51
-3.73%
0.001081
-14.61%
0.002626
-16.98%
0.03488
0.06%
0.0481
0.00%
0.000700
9.03%
0.004319
-4.62%
0.000715
0.00%
0.004219
38.37%
0.0000000356
-18.72%
0.003532
-1.73%
0.00131
-25.99%
0.0002793
-0.68%
0.06835
1.17%
0.01188
0.08%
7.48
1.36%
0.004920
-6.82%
0.002559
2.44%
0.5658
0.16%
0.0231
-2.94%
0.0009273
17.25%
0.0941
1.07%
0.005480
4.52%
0.01320
0.00%
0.1432
1.49%
0.0004927
7.41%
0.0042
0.00%
0.2127
-0.09%
0.0000501
-4.02%
0.04711
-2.12%
0.0000846
7.77%
0.03040
-2.78%
0.0000003138
-0.16%
0.004488
-5.91%
0.00002357
-4.42%
0.01621
-5.59%
1.040
-9.49%
0.905
-1.74%
0.2617
10.80%
0.0000000000000182
-12.92%
0.13591
-0.87%
0.003763
-6.21%
0.0023621
-0.51%
0.0929
1.31%
0.00000004013
-5.00%
7.064
-4.07%
0.283
0.00%
0.017704
-5.37%
0.9089
-0.18%
0.01289
0.86%
0.8091
3.35%
0.04555
3.19%
0.000851
-8.59%
0.03274
-2.44%
0.000298
7.97%
0.000385
-27.50%
0.8980
1.63%
0.0000001463
3.39%
1.528
0.99%
0.04954
0.61%
0.000216429
-15.44%
0.0985
7.77%
0.1702
1.37%
0.0002041
0.00%
13.88
-2.12%
0.02890
-8.92%
1.1795499
-0.12%
0.009005
-10.15%
0.0003958
1.59%
3037.13
-0.72%
91.03
-1.89%
0.0661
3.93%
0.0002165
-2.35%
1.4041
-1.31%
1.3257
0.77%
0.0105
-5.41%
0.002268
3.04%
0.0006874
-0.51%
0.01773
21.11%
19.38
2.32%
0.0008090
-0.81%
0.01831
4.39%
0.11146
1.19%
0.1165
-2.67%
0.1164
-1.61%
0.2585
1.25%
0.7537
-2.55%
0.03173
5.07%
0.003912
-10.87%
0.012517
0.01%
0.001193
-11.43%
0.1056
1.34%
0.6151
-0.16%
0.0344
2.08%
0.0110
0.00%
0.001870
1.41%
0.003008
-0.13%
1.4491
-2.01%
1.004
0.40%
0.003583
25.41%
0.782
-1.26%
0.00016500
46.68%
0.0031
10.71%
0.57832
-3.31%
0.4005
-2.72%
0.0000607
-0.49%
0.363
-3.20%
0.00000001318
-1.49%
0.06967
-10.01%
0.00000805
4.27%
0.0288
3.23%
0.3157
-0.85%
0.03991
-0.03%
0.001261
-3.45%
0.000000492
-0.81%
0.0797
-2.69%
0.002729
-9.55%
0.1296
-2.11%
0.004206
-0.66%
0.0003941
-27.77%
0.00909
7.07%
0.0000000002076
-2.63%
0.01837
6.06%
1.6315
11.10%
0.0000000835
-0.36%
0.0000038
-9.52%
0.002796
6.47%
0.2661
-3.90%
0.4785
-4.97%
0.0818
0.99%
0.01402
13.06%
0.007332
-2.32%
2198.42
-1.68%
0.0103
-4.63%
0.01863
-2.41%
22.61
-6.10%
0.2793
-3.12%
0.3010
-0.46%
0.561
1.45%
6.6974
2.09%
0.0007553
-16.08%
0.2597
-4.21%
0.001132
-0.09%
0.2809
0.75%
0.0000659
-6.66%
0.0468
-1.06%
0.005299
-1.87%
0.0696
-1.00%
0.000845
-6.11%
0.0890
-0.56%
0.1491
0.61%
0.1488
0.20%
0.01683
0.66%
0.00965
-1.73%
0.005900
16.19%
2.283
-6.82%
0.003477
-0.57%
0.3539
-1.17%
0.740
0.82%
0.9745
-0.01%
0.0005692
-1.79%
0.06242
-0.76%
7.96
-5.46%
0.0570
-5.47%
0.001018
-0.20%
0.001656
-6.55%
0.7632
-0.33%
0.0595
0.17%
0.1475
-3.59%
0.625
2.97%
0.0386
0.26%
0.00623
1.80%
0.01322
-0.23%
0.00270
-0.74%
0.00008997
-7.38%
1.236
4.92%
0.00010605
-28.74%
12.30
-2.38%
2.215
0.05%
0.000001669
2.71%
0.00000413
2.74%
0.00230
0.44%
0.8912
-5.20%
18.32
0.05%
0.05719
-4.60%
0.0103
-1.90%
0.00325
-27.78%
0.01824
0.16%
0.003751
-14.03%
0.00001372
-3.92%
0.1987
0.05%
0.001210
-4.95%
0.1641
-6.17%
0.004260
0.59%
0.0000089
15.58%
0.000000104
-3.70%
0.634
0.79%
0.00005816
-5.89%
0.00000008453
8.75%
0.683
0.15%
0.001746
-10.23%
15.78
3.27%
0.00255
0.39%
3.509
0.14%
0.003482
0.00%
0.005673
7.87%
0.001042
0.19%
0.01711
-5.31%
0.0050999
-0.15%
0.00000000001641
20.93%
18.26
-2.77%
0.001826
-9.20%
0.02489
-3.34%
0.2842
0.07%
0.2213
-1.95%
0.00770
-1.53%
0.0360
0.28%
0.0000000620
-2.67%
0.0568
-9.12%
0.01301
-0.61%
18.17
-1.30%
0.006940
-14.32%
166.56
-3.44%
0.00000712
0.00%
0.002008
0.00%
0.00002412
-1.43%
0.000002008
3.67%
0.003456
5.46%
1.417
-1.19%
14.69
-1.21%
0.00004411
11.67%
0.00016659
-25.96%
31.18
1.00%
0.0777
1.30%
0.01811
-1.58%
0.3706
7.14%
0.3855
1.15%
0.000001670
3.09%
0.7000
16.67%
0.002755
-7.11%
0.00776
-14.82%
0.00009365
-0.89%
0.002706
0.56%
0.00649
-0.15%
0.1518
0.46%
0.1154
-0.69%
0.00000000000026
-35.00%
0.002057
0.39%
0.001309
0.00%
0.001102
-1.25%
0.0000647
8.92%
0.2155
-0.28%
0.8422
-0.26%
0.0003927
0.59%
0.0122
9.91%
0.0084
18.31%
0.3899
0.31%
0.1894
-1.35%
0.000159
1.92%
0.0027
-50.91%
0.550
-8.18%
0.0189
-1.56%
0.02133
6.70%
0.00003
50.00%
0.000085
3.66%
0.013000
4.52%
0.1938
-0.26%
0.723
1.26%
2.302
2.31%
0.0959
-1.03%
0.00000001654
-0.42%
0.0182
0.00%
0.006368
-4.30%
0.02763
-2.37%
0.00808
-8.49%
0.01288
-0.16%
0.0614
-5.83%
0.0365
1.39%
0.005432
2.03%
0.00000000001137
23.72%
0.424
-1.17%
0.20447
4.83%
0.01707
-7.93%
0.000000008400
140.00%
0.00000000015692
-0.26%
0.000000001894
-5.58%
0.1410
0.79%
0.0000491
-6.65%
0.806
-0.62%
0.2337
-2.34%
2.209
0.18%
0.001157
0.78%
1267
-0.31%
0.0867
-0.12%
0.0783
-0.63%
0.0815
0.12%
0.00127
-0.78%
0.0467
-7.71%
0.01648
8.71%
0.1378
-1.64%
0.01468
-0.07%
0.00129
-7.19%
0.0394
1.03%
0.0000002157
-0.69%
0.00896
-1.21%
0.000418
-16.57%
0.00000000000180
7.78%
0.013600
0.44%
0.01748
5.94%
0.0003220
0.00%
0.5690
-26.44%
0.001907
-16.47%
0.6051
-1.08%
3.46
-3.62%
2.208
-1.74%
0.020595
-1.96%
0.01045
-5.77%
500.00
19.05%
0.02762
0.55%
0.4292
7.87%
0.0122
-1.61%
0.00000409
5.14%
0.000043
26.47%
0.01650
0.49%
0.1316
0.15%
0.0006868
0.57%
0.2103
-0.10%
0.0000000036990
23.26%
0.000118
-0.84%
0.05578
5.15%
0.033016
-3.50%
0.00000000001833
-44.29%
0.00465
-5.49%
0.000094
64.91%
0.230000
91.67%
0.0388
-1.77%
0.00547
-1.08%
78.4
-1.51%
0.0127
-5.93%
0.2983
-3.65%
0.1172
-0.76%
0.01982
-0.65%
0.002324
4.78%
0.0671
1.67%
6.540
0.17%
0.000000000091
250.00%
0.0170
0.00%
0.00240
-8.40%
0.0002510
0.80%
0.00000000003796
4.43%
0.00874
-1.02%
2.118
-1.12%
0.06086
0.33%
0.0001
0.00%
0.000000000801
2.69%
0.023455
-8.26%
101.67
1.67%
0.00421
0.00%
0.0000019
11.76%
0.00000015700
43.87%
0.000000000004
-20.00%
0.2284
2.10%
6.8874
-5.61%
0.008231
-53.95%
0.000000000003830
0.26%
0.000400
-25.93%
0.5380
0.06%
9.770
0.00%
0.0000109
-6.03%
0.00000000000652
0.15%
0.000904
1.23%
0.000110
-4.35%
0.000389
0.78%
0.00681
1.79%
0.680
0.74%
1.391
0.07%
0.0057
-37.36%
0.005673
-5.48%
0.000000000000934
-2.81%
0.0065
-32.29%
0.004049
-10.58%
0.6562
2.77%
0.00004894
4.71%
0.4788
-0.68%
0.03001
-0.20%
1.922
0.63%
0.000025
-3.85%
0.00000000000412
8.14%
0.0088
0.00%
0.0000000000000155
-6.63%
0.0000299
-8.28%
0.001308
-2.82%
0.05812
-0.09%
0.000063
-32.26%
0.0002402
0.04%
0.4797
0.06%
0.022500
-3.92%
0.0982
0.10%
0.000072
30.91%
0.0000066
-27.47%
0.00146
-16.57%
0.00036
-10.00%
0.002897
-2.13%
0.1076
-1.74%
0.00002260
1.12%
0.00000000000014
16.67%
0.000000000726
-0.68%
0.000000000001710
-1.67%
0.00000000000287
-1.37%
0.00000000000122
16.19%
23.672
-0.15%
1.711
-0.70%
0.475
4.63%
0.000195
1.04%
0.00796
-6.13%
0.0000066
17.86%
0.00003
0.00%
0.000000100
0.00%
0.3791
1.36%
0.01641
-2.03%
0.00000926
-15.82%
0.0000248
1.22%
0.000000000836
9.28%
0.00007
-41.67%
0.000000000112
-2.61%
0.02514
-0.08%
0.0914
36.42%
0.002579
-0.15%
0.0533
-0.93%
0.003483
1.25%
5155.00
14.00%
0.03455
-3.71%
0.0001450
0.00%
0.2271
0.58%
0.00023846
-1.82%
0.00000056
-1.75%
0.02806
1.48%
0.0005110
10.41%
0.0444
-0.45%
0.002414
-1.31%
0.003026
9.60%
0.000430
-0.46%
0.5277
0.23%
0.001790
-35.05%
0.0005
0.00%
0.000000001964
-4.89%
0.829
-0.36%
0.00027
0.00%
0.00011
10.00%
0.001801
-38.64%
0.0005288
-7.78%
0.0000003963
50.00%
0.000044
33.33%
0.1207
-0.66%
0.1335
-4.09%
0.00032
14.29%
0.0000000153
4.08%
0.0000312
41.82%
0.01135
-0.96%
0.0820
8.47%
0.0957
-1.85%
0.000058
16.00%
0.05326
-0.04%
0.0015
7.14%
0.00171
2.40%
0.000310
0.32%
0.0000095
13.10%
0.003880
-4.97%
1.105
1.84%
0.0064
8.47%
0.001210
-10.30%
0.0000680
-1.31%
0.0064
28.00%
0.004310
0.40%
0.0012
20.00%
0.0006496
-2.59%
0.497
-2.36%
0.03778
-0.11%
0.4396
1.22%
0.0006731
4.81%
0.0004
0.00%
0.0009
0.00%
0.00390
34.02%
0.0502
-1.57%
0.0017
-5.56%
0.2196
-1.48%
0.00007
0.00%
0.1450
-0.96%
0.000423
-0.94%
0.000000750
54.00%
50.0000
0.00%
0.00000000000039
-7.14%
0.00000000058
7.41%
0.1122
0.27%
0.0000061
1.67%
0.000000000535
0.00%
0.000446
0.22%
0.000000000682
-0.87%
0.00614
0.00%
0.000561
1.08%
0.03935
2.31%
0.01595
0.00%
0.00000322
0.94%
0.0012
9.09%
0.00004399
-0.02%
0.00103
17.05%
0.0000329
0.00%
0.0000000000270
0.00%
0.000009
0.00%
0.0007000
-3.31%
0.0005439
4.92%
0.0000397
11.83%
3.058
-0.52%
0.000181670
-6.95%
0.3326
0.79%
0.000685
-18.93%
0.0001202
44.99%
0.1015
-0.29%
0.00000000073
-3.95%
0.0000029
-3.33%
0.00056
7.69%
0.00119
21.43%
0.000307
27.39%
0.00000000000100
-3.85%
0.0065
-5.80%
0.000018
0.00%
0.0631
-6.93%
0.0000007
40.00%
0.00006
0.00%
0.0789
-1.25%
1.2684
3.78%
0.01682
-0.94%
0.10428
-2.97%
0.3805
-1.35%
0.00015
0.00%
0.7382
-3.17%
0.001121
-1.41%
0.001004
4.58%
58.5600
0.00%
0.0004062
-6.69%
0.02948
-2.16%
0.0254
0.00%
0.003910
5.96%
0.00371
0.00%
0.0009012
0.00%
0.0004380
-3.69%
0.00600
0.00%
0.002154
10.57%
0.0007993
0.00%
6.091
-0.47%
0.2244
2.70%
0.000028
3.70%
0.03502
-10.07%
0.001597
-0.62%
0.000014
0.00%
3.0947
-4.24%
0.02372
0.34%
0.003846
-2.63%
0.7846
-1.80%
1899.00
0.00%
1.54
0.00%
0.01277
-5.41%
0.1534
-10.55%
0.0450
2.51%
0.001356
4.71%
0.03134
-0.03%
0.00404
2.54%
0.01184
-0.84%
0.2163
6.97%
2.5129
0.00%
0.454
1.11%
1.000000
0.00%
0.3771
0.00%
0.5732
0.00%
50.134
-1.46%
3.022
-0.72%
0.0579
-1.70%
0.0001030
0.00%
0.6379
0.62%
0.0868
-0.69%
0.0700
0.00%
0.001152
1.68%
0.00000092
-1.08%
0.01929
-0.77%
0.1946
1.46%
0.000216
0.00%
0.546
1.11%
2.179
0.00%
1.5000
0.00%
3.9889
0.00%
1.1371
0.00%
0.000091
15.19%
0.4424
0.00%
0.0071
0.00%
0.000210
0.00%
0.0267
-0.37%
0.1781
-2.89%
8.18
-1.56%
0.000452
0.00%
0.0272
0.00%
0.000000002387
3.56%
0.00000045
4.65%
0.1204
0.00%
2.647
0.61%
0.006000
0.00%
0.000300
0.00%
0.00013
0.00%
0.00035
0.00%
0.000000038
-5.00%
0.0004
0.00%
0.00033
0.00%
0.011926
0.00%
0.0000154
0.00%
0.000014
0.00%
0.001100
0.00%
0.000365
0.00%
0.001201
0.00%
0.0000002593
0.00%
0.00001584
0.00%
0.0000001013
0.00%
0.00035000
0.00%
0.000024
-4.00%
0.00005
0.00%
0.00006187
0.00%
0.000166
0.00%
0.000000000011
0.00%
0.001405
0.00%
0.2465
-0.08%
0.000492
4.90%
0.000902
0.00%
0.0242
-1.63%
0.0001
0.00%
0.0009
0.00%
0.0560
0.00%
0.00012800
0.00%
0.000453
-0.88%
0.004025
0.00%
0.0101
0.00%
0.00000100
0.00%
0.0000000104
0.00%
0.00000006
0.00%
0.00000000001676
0.00%
0.001000
0.00%
0.0000000053
0.00%
0.0000000039
0.00%
0.00001626
0.00%
0.000000000374
0.00%
0.00025
-7.41%
0.000310
0.00%
0.3284
0.00%
0.9500
0.00%
0.0020
0.00%
0.000405
0.00%
----
0.001290
0.00%
0.00000011
0.00%
0.0000006608
-0.11%
0.000758
0.00%
0.001000
0.00%
1.6799
0.00%
0.0927
0.00%
0.00000000002387
0.00%
0.00425
0.00%
0.00001
0.00%
0.00004
0.00%
0.0010
0.00%
0.00037
0.00%
0.001963
0.00%
0.00000055
0.00%
0.2994
0.00%
0.00006767
0.00%
0.00005458
0.00%
0.001263
0.00%
0.0072
0.00%
0.0001000
0.00%
0.05056
0.00%
1.3575
0.00%
0.00136
0.00%
0.000086
0.00%
0.000033
0.00%
0.000038
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%
0.4998
0.00%
0.0000111
0.00%
0.00000145
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%
1.1071
0.00%
0.000383
0.00%
4.0009
0.00%
0.001000
0.00%
0.0437
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%
0.000350
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%
0.00000012
0.00%
0.000082
0.00%
0.0072
0.00%
0.016111
0.00%
4.1000
0.00%
0.0489
0.00%
0.0131
0.00%
0.0006
0.00%
4.4022
0.00%
0.0745
0.00%
0.002461
0.00%
0.001160
0.00%
0.001100
0.00%
0.3882
0.00%
0.001000
0.00%
0.076250
0.00%
0.0150
0.00%
0.002393
0.00%
0.0036
0.00%
0.001942
0.00%
0.1769
0.00%
2.2915
0.00%
0.0000000199
1.53%
0.0004
0.00%
0.000257
0.00%
0.000620
0.00%
0.03000
0.00%
0.000946
0.00%
0.4820
0.00%
0.0490
0.00%
0.0096
0.00%
0.0060
0.00%
0.04500
0.00%
0.000259
0.00%
0.0502
0.00%
0.004210
-2.30%
12.1000
0.00%
1.76670591
0.00%
0.0024
0.00%
0.000399
0.00%
0.0001403
0.00%
0.0000002850
0.00%
0.6700
0.00%
0.0086
0.00%
0.01989
0.00%
0.00047
0.00%
0.0026
0.00%
0.0009
0.00%
0.2888
0.00%
0.00501
0.00%
0.02700
0.00%
0.00315
0.00%
0.0650
0.00%
0.3515
0.00%
0.00125
0.00%
0.4900
0.00%
0.9900
0.00%
0.5000
0.00%
0.010100
0.00%
0.0069
0.00%
0.88686
0.00%
0.00084
0.00%
0.0000285
0.00%
1.1760
0.00%
0.00689
0.00%
0.1725
0.00%
0.00010
0.00%
0.01463
0.00%
0.04851
0.00%
0.4606
0.00%
0.00021
0.00%
0.001800
0.00%
0.0000007
0.00%
0.000001547
0.00%
0.01200
0.00%
0.00010
0.00%
0.000001000
0.00%
0.00250
0.00%
0.0000008
0.00%
1.3255
1.26%
0.01050
0.00%
0.0000325
0.00%
0.018686
0.00%
1.0000
0.00%
0.34211
0.00%
0.00132
0.00%
0.0000077
0.00%
0.0005
0.00%
0.1495
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%
0.000514
0.00%
0.001987
0.00%
0.00080
0.00%
0.000313
0.00%
0.0000029
0.00%
0.00200
0.00%
0.00000007783
0.00%
0.0032
0.00%
0.3131
0.00%
0.000495
0.00%
0.00049
0.00%
0.300
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%
0.000506
0.00%
0.01030
0.00%
0.0489
0.00%
0.00070
0.00%
0.003000
0.00%
0.0000269
0.00%
0.0000000500
0.00%
0.0000001300
0.00%
0.7997
0.00%
0.0001543
0.00%
0.000000000128
0.00%
0.000426832
0.00%
0.00002805
0.00%
0.1600
0.00%
0.0000245
0.00%
0.000056
0.00%
0.1197
0.00%
20.3888
0.00%
0.000510
0.00%
0.00218
0.00%
0.002100
0.00%
0.00240
0.00%
0.3101
0.00%
0.0000305
0.00%
0.00639
0.00%
0.4400
0.00%
1.4371
0.00%
0.000198
3.13%
0.0000274
0.00%
0.00865
0.00%
0.3668
0.00%
0.250
0.00%
0.4276
0.00%
0.3907
0.77%
0.001106
0.00%
0.0249
0.00%
0.6608
0.00%
0.0602
-1.47%
0.00500
0.00%
3.79
0.00%
0.01164
0.43%
0.0020
0.00%
0.00538
0.00%
0.000000001869
0.00%
1.533
-0.97%
0.0091
0.00%