How does zk-DID (Zero-Knowledge Decentralized Identity) technically work?
How zk-DID (Zero-Knowledge Decentralized Identity) Technically Works
In an increasingly digital world, the need for secure and private identity management has never been more critical. Zero-Knowledge Decentralized Identity (zk-DID) emerges as a groundbreaking solution that allows individuals to prove their identity without disclosing sensitive information. This article delves into the technical workings of zk-DID, exploring its key components, protocol flow, security benefits, and potential applications.
1. Understanding Decentralized Identity (DID)
A Decentralized Identifier (DID) serves as a unique identifier for individuals or entities within a blockchain or decentralized network. Unlike traditional identifiers managed by centralized authorities, DIDs are controlled by the individual themselves. This self-sovereignty empowers users to manage their identities across various applications and services without relying on third-party intermediaries.
2. The Role of Zero-Knowledge Proofs
At the heart of zk-DID lies zero-knowledge proofs—mathematical constructs that enable one party to demonstrate the truth of a statement without revealing any underlying data. These proofs are essential for maintaining privacy while allowing verification processes to occur securely.
The two primary types of zero-knowledge proofs utilized in zk-DIDs are:
- zk-SNARKs: Zero-Knowledge Succinct Non-Interactive Argument of Knowledge is known for its efficiency and compactness in proof generation.
- zk-STARKs: Zero-Knowledge Scalable Transparent Argument of Knowledge offers scalability advantages and does not require a trusted setup phase.
3. Cryptographic Techniques Underpinning zk-DIDs
The effectiveness of zk-DIDs relies on several cryptographic techniques that ensure secure communication and data integrity:
- Public-Key Cryptography: This technique facilitates secure communication between parties through asymmetric encryption methods where each user possesses both public and private keys.
- Hash Functions: Hash functions create unique identifiers from input data while ensuring data integrity through irreversible transformations.
- Homomorphic Encryption:This advanced form of encryption allows computations on encrypted data without needing decryption first, enhancing privacy during processing operations.
4. Protocol Flow: How zk-DID Operates
The operational flow of zk-DID can be broken down into several key steps that illustrate how users interact with this technology effectively:
- Initialization:
The user generates their DID along with a corresponding private key stored securely on their device or wallet. - Create Verification Proof:
The user constructs a zero-knowledge proof demonstrating possession of their private key while keeping it confidential from external parties. - User Interaction with Service Provider:
The service provider requests verification from the user based on specific criteria related to access or authentication needs. - Pseudonymous Verification Process:
The service provider verifies the user's proof using cryptographic methods without gaining access to any personal information about them—ensuring anonymity throughout this process.5 . Security Benefits Offered by zk - DID < p > The implementation o f z k - D I D provides numerous security advantages : < ul > < li >< strong > Privacy : Users ' sensitive information remains confidential , protecting them against potential breaches . < li >< strong > Anonymity : Individuals can maintain anonymity while still proving necessary aspects o f their identity , fostering trust in digital interactions . < li >< strong > Enhanced Security : The use o f zero - knowledge proofs guarantees that verification processes are robust , minimizing risks associated with identity theft or fraud . < / ul >
6 . Applications o f z k - D I D Technology < / h 2 > < p > The versatility o f z k - D I Ds opens doors t o various applications across industries : - < strong > Identity Verification : Secure login mechanisms enabling seamless authentication across platforms .
- < Strong > Compliance : Meeting regulatory requirements related t o privacy laws such as GDPR .
- < Strong > Trustless Interactions : Facilitating decentralized systems like blockchain where trust is established through cryptographic means rather than centralized authorities .
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0.6860 | 11.29% | |
0.000120 | 0.00% | |
0.004673 | 4.49% | |
7.2739 | 6.33% | |
9.03 | 3.20% | |
0.00228 | 0.00% | |
0.002922 | 1.35% | |
0.030566 | 2.94% | |
0.0000000001610 | -12.97% | |
0.4126 | 1.98% | |
1392 | 6.18% | |
0.00292 | 5.80% | |
0.00198 | 5.88% | |
2.6741 | -1.64% | |
3.009 | 10.34% | |
0.035603 | -12.95% | |
0.00460 | 0.00% | |
0.001330 | 17.49% | |
0.02879 | 0.45% | |
0.0004648 | 29.36% | |
0.000821 | 13.55% | |
0.01846 | 8.21% | |
0.00006066 | 1.54% | |
0.005420 | -3.02% | |
1.8541 | 5.41% | |
309.5 | 1.84% | |
0.00882 | -5.87% | |
0.000184 | -3.16% | |
4.614 | -5.08% | |
0.000000001275 | 0.00% | |
0.00900 | 1.35% | |
0.6024 | 4.20% | |
0.0904 | 2.73% | |
0.002479 | -31.10% | |
0.001738 | -26.48% | |
0.000851 | -0.47% | |
0.001967 | 0.87% | |
0.00798 | -1.85% | |
0.00548 | 15.61% | |
0.08787 | -2.26% | |
0.001495 | -20.18% | |
0.004904 | -1.86% | |
0.002687 | -0.92% | |
0.10447 | 6.02% | |
0.004167 | 4.88% | |
0.3096 | 1.28% | |
0.0004296 | -24.68% | |
0.002238 | -23.17% | |
0.00845 | 0.36% | |
0.01027 | -8.30% | |
0.00489 | 2.95% | |
0.3577 | 0.06% | |
0.758 | 2.16% | |
0.00000879 | 20.91% | |
0.7257 | 3.14% | |
0.000386 | -0.52% | |
0.0001941 | -1.42% | |
0.0000283 | 10.12% | |
0.001179 | -24.47% | |
0.6530 | 3.36% | |
6.3426 | 1.70% | |
2.814 | -0.11% | |
0.002679 | -2.30% | |
0.03796 | 5.59% | |
0.008242 | 2.36% | |
0.01902 | 9.18% | |
0.0000240 | 0.42% | |
0.04237 | 8.11% | |
0.0002047 | -9.82% | |
0.0030152 | 2.07% | |
0.01468 | -0.07% | |
13.590 | -24.54% | |
0.000721 | -0.28% | |
0.000303 | 1.68% | |
0.1842 | -0.16% | |
0.001390 | -10.90% | |
0.007374 | -7.76% | |
0.003950 | -8.01% | |
0.065495 | 3.27% | |
2.157 | -1.55% | |
2027.34 | 4.55% | |
13.33 | 1.91% | |
0.2127 | 3.05% | |
0.0619 | 4.38% | |
60.07 | 4.72% | |
26.73 | 0.07% | |
0.02367 | -4.75% | |
0.00798 | -11.82% | |
0.012830 | -1.26% | |
0.01099 | 27.94% | |
30.9000 | -0.32% | |
0.00007817 | 19.40% | |
0.1060 | 1.83% | |
4.397 | 0.18% | |
0.0039 | -2.50% | |
145.43 | 4.28% | |
0.000677 | -10.80% | |
0.0115 | 15.00% | |
0.0666 | 0.76% | |
0.001579 | 33.25% | |
0.00403 | -2.18% | |
0.000580 | -3.33% | |
0.001022 | -21.57% | |
0.1140 | -25.00% | |
0.003052 | 3.21% | |
19.49 | -2.45% | |
0.001622 | 39.11% | |
0.01796 | 1.93% | |
0.000040 | 33.33% | |
0.01095 | 5.69% | |
0.1583 | 0.13% | |
0.01247 | 0.00% | |
1.2366 | 2.05% | |
0.00000006330 | -1.46% | |
0.0001931 | -13.79% | |
0.00012983 | -5.90% | |
0.0000172 | 13.16% | |
0.2969 | 11.32% | |
0.00004902 | 8.69% | |
0.00090 | -91.00% | |
0.0112 | 0.90% | |
0.00004099 | 7.50% | |
0.04487 | 0.16% | |
0.003973 | 0.10% | |
1.496 | 3.46% | |
1.1126001 | -0.40% | |
0.0726 | -0.68% | |
0.002759 | -0.47% | |
0.00520 | -5.28% | |
0.03660 | -45.29% | |
0.610 | 3.39% | |
0.001294 | -2.56% | |
8.23 | -0.96% | |
0.5702 | -0.96% | |
0.0060 | -3.23% | |
0.02795 | -31.81% | |
0.001143 | 11.08% | |
0.002309 | -23.85% | |
0.04677 | 9.74% | |
0.01062 | -1.67% | |
0.3259 | -2.01% | |
0.003720 | 17.54% | |
0.001780 | 1.25% | |
0.0485 | 2.11% | |
0.83168 | -0.40% | |
0.01023 | 0.20% | |
16.1206 | -5.51% | |
0.002126 | -1.35% | |
0.0000000361 | -6.72% | |
3.715 | 7.96% | |
0.007557 | -1.90% | |
0.000356 | 0.85% | |
0.006518 | 3.97% | |
0.0239 | -10.82% | |
9.5012 | 4.18% | |
0.0000439 | 0.23% | |
7.29 | 4.14% | |
0.0089 | 2.30% | |
0.0212 | 0.00% | |
0.00000615 | -1.91% | |
15.04 | -6.06% | |
16.94 | 1.01% | |
0.18235 | -10.87% | |
0.0000000676 | -5.45% | |
0.01454 | -10.80% | |
0.00232 | -1.69% | |
0.01119 | 4.97% | |
0.00001536 | -7.02% | |
0.06863 | 5.68% | |
0.0000768 | -23.20% | |
0.02349 | 4.63% | |
0.001915 | 14.81% | |
0.00524 | 0.58% | |
0.389 | 2.64% | |
0.0253 | -2.32% | |
0.01563 | -9.44% | |
0.0019964 | 12.18% | |
0.00003952 | -3.04% | |
0.02537 | 4.83% | |
1.3528 | 17.69% | |
0.000829 | -0.72% | |
11.32 | 2.82% | |
0.0111 | 13.27% | |
0.0000000812 | 5.45% | |
0.0621 | 5.43% | |
0.00000405 | 1.50% | |
0.000140 | -22.22% | |
0.482 | 1.90% | |
0.1085 | 163.35% | |
0.1182 | -1.42% | |
0.004415 | 45.71% | |
0.000204 | -3.32% | |
0.01466 | 1.88% | |
0.7663 | -2.07% | |
0.010985 | -8.45% | |
0.0000530 | -3.99% | |
0.0006639 | 3.23% | |
0.003840 | 23.43% | |
22.917 | 2.13% | |
0.002259 | 2.22% | |
0.900 | 3.57% | |
0.000000001767 | 3.51% | |
0.0000491 | 10.59% | |
0.002191 | 0.74% | |
0.4587 | 5.04% | |
0.01364 | 4.36% | |
0.002493 | -8.98% | |
0.00000013239 | 2.36% | |
0.00002 | -33.33% | |
0.0546 | -5.86% | |
0.02008 | 38.10% | |
0.0813 | 1.75% | |
5.49 | 1.48% | |
0.1219 | 7.78% | |
0.05942 | -1.96% | |
0.220 | -3.08% | |
0.448 | -0.88% | |
0.0000000188 | 42.42% | |
0.3862 | -10.48% | |
0.0797 | -3.63% | |
0.0009260 | -7.40% | |
0.0003394 | -14.51% | |
0.000778 | -4.77% | |
0.03230 | -3.03% | |
0.05979 | 0.00% | |
0.00014 | -12.50% | |
1.541 | 4.47% | |
0.012600 | 3.62% | |
0.000822 | -2.84% | |
0.0542 | 2.26% | |
0.1311 | 0.77% | |
0.003933 | 2.26% | |
0.00000001343 | 1.67% | |
16.48 | 2.87% | |
0.000881 | -6.18% | |
0.01379 | 0.00% | |
0.0286 | 0.00% | |
0.00000027397 | 110.71% | |
0.0000084 | -6.67% | |
0.004188 | 5.07% | |
0.0002790 | 2.69% | |
0.02961 | 1.51% | |
0.00334631 | 7.98% | |
5.428 | 1.93% | |
0.1750 | 3.43% | |
0.0004408 | 9.16% | |
0.001953 | 1.30% | |
0.515 | 1.18% | |
0.000345 | -3.09% | |
0.01463 | 11.59% | |
0.0540 | 1.50% | |
0.0972 | 2.53% | |
0.012903 | -10.14% | |
0.02159 | -6.42% | |
0.01140 | -0.26% | |
0.02832 | -9.81% | |
0.0004248 | 6.31% | |
0.1802 | 4.28% | |
0.00409 | 0.74% | |
0.4039 | -3.07% | |
0.003254 | -0.49% | |
0.00695 | -0.71% | |
0.1668 | 1.89% | |
0.00576 | 3.04% | |
0.0567 | -4.71% | |
0.000499 | 5.94% | |
0.01520 | 15.94% | |
0.010995 | -0.61% | |
0.00000001144 | 0.70% | |
0.0032 | -43.86% | |
0.291 | -3.64% | |
0.0051019 | 0.01% | |
0.528 | 0.19% | |
0.01783 | -6.16% | |
0.02609 | 0.77% | |
0.2486 | 4.06% | |
0.003992 | -3.92% | |
0.000277 | 15.42% | |
0.006066 | -5.14% | |
0.001171 | 0.86% | |
0.0857 | 22.25% | |
0.0639 | 1.59% | |
2.984 | 2.16% | |
0.003137 | 3.43% | |
0.0560 | 1.82% | |
0.0840 | -1.06% | |
0.000001494 | 3.25% | |
0.000067 | 0.00% | |
0.00000000008345 | 2.51% | |
0.01486 | 0.47% | |
0.000269 | -2.54% | |
0.00233 | 0.00% | |
16.14 | 1.70% | |
0.000948 | 10.36% | |
0.0000090 | 9.76% | |
0.001036 | 1.07% | |
0.03157 | -4.19% | |
15.60 | 4.56% | |
0.000482 | -5.12% | |
0.0141 | -11.88% | |
0.002162 | 26.65% | |
0.0817 | 0.37% | |
0.769 | 0.65% | |
0.01470 | 2.15% | |
0.003286 | 13.00% | |
0.000780 | -0.51% | |
0.0004776 | -6.06% | |
0.04846 | -2.73% | |
0.001411 | 7.71% | |
9.729 | 2.39% | |
0.05982 | 3.07% | |
0.0001790 | -5.09% | |
0.0002538 | -0.31% | |
0.001538 | 0.72% | |
0.0047 | -4.08% | |
0.00000001515 | 4.41% | |
0.000000454 | 0.67% | |
0.0000017 | -15.00% | |
0.1038 | 4.43% | |
0.1979 | -0.35% | |
0.5489 | 1.25% | |
0.0590 | -1.67% | |
0.03843 | 6.93% | |
0.01121 | 0.99% | |
6.37 | 0.16% | |
0.1372 | -4.06% | |
0.0069 | 1.47% | |
0.00916 | 12.39% | |
0.0027 | -6.90% | |
0.00000286 | 0.35% | |
0.370 | -8.87% | |
0.002499 | -2.76% | |
0.006902 | -6.72% | |
0.2384 | 0.21% | |
0.0092 | -2.13% | |
0.1026 | 1.68% | |
0.0496 | -1.59% | |
0.2919 | -3.50% | |
1.0265 | 0.02% | |
0.0509 | -0.39% | |
16.39 | 3.28% | |
0.0822 | -0.24% | |
0.1969 | 5.13% | |
0.00000017709 | 9.31% | |
0.0731 | -0.41% | |
0.000635 | 41.11% | |
0.000879 | 3.90% | |
0.0098 | -2.97% | |
0.002790 | -2.07% | |
0.1024 | -3.31% | |
0.00932 | 2.19% | |
0.000000103 | 10.75% | |
0.1069 | 5.95% | |
1.804 | 5.93% | |
0.0766 | 2.68% | |
0.01355 | 9.98% | |
0.000095 | -3.06% | |
0.004750 | 1.78% | |
0.4947 | -3.51% | |
0.004639 | 7.63% | |
0.4191 | 1.82% | |
0.310 | 0.98% | |
0.0439 | 3.54% | |
0.0000000591 | 0.17% | |
0.0000630 | 12.70% | |
0.0000000000000142 | 6.77% | |
0.1608 | 3.47% | |
0.2423 | 1.89% | |
0.001330 | -12.38% | |
0.00000000000495 | 43.06% | |
0.00002282 | 2.24% | |
0.001993 | -5.63% | |
0.000001833 | -2.29% | |
0.0175 | 12.90% | |
0.1055 | 1.74% | |
0.0003148 | -6.45% | |
0.0747 | -1.71% | |
0.0011 | -74.42% | |
0.00003576 | -0.11% | |
0.00921 | 4.54% | |
2.172 | 4.57% | |
0.00493 | 0.00% | |
0.0295 | 0.68% | |
0.0591 | -4.37% | |
0.024139 | -0.28% | |
0.00151 | 0.67% | |
0.016825 | 15.28% | |
0.8134 | -3.37% | |
0.0000007 | 16.67% | |
0.008000 | 165.60% | |
0.01905 | -1.30% | |
0.0000000507 | 0.60% | |
0.3202 | 8.62% | |
0.00003177 | 0.09% | |
0.1178 | 16.29% | |
0.0173 | 0.00% | |
0.0000016797 | 2.30% | |
0.05325 | 1.10% | |
0.0312 | -4.88% | |
0.1000 | 1.83% | |
0.000090 | -2.17% | |
0.724 | 4.17% | |
0.00286 | 0.35% | |
0.000867 | -0.57% | |
0.1220 | 1.41% | |
0.7607 | -0.08% | |
0.00000003479 | 0.26% | |
0.9215 | -1.17% | |
0.02662 | -2.85% | |
0.000000002073 | -0.10% | |
0.00205 | 1.49% | |
0.000571 | -3.06% | |
0.000073 | 7.35% | |
0.001150 | 3.23% | |
0.00000000000176 | -6.88% | |
0.000904 | 3.08% | |
0.0643 | -2.28% | |
0.0295 | -1.01% | |
0.1446 | 3.73% | |
0.00000351 | 0.86% | |
0.1219 | -2.17% | |
0.373 | 49.80% | |
0.0005897 | 1.11% | |
1.3313 | -1.44% | |
0.0161 | -8.00% | |
0.001637 | -0.97% | |
0.000456 | 13.15% | |
0.665 | 3.10% | |
0.02260 | 11.55% | |
0.0415 | 0.00% | |
13.53 | 3.44% | |
0.0090 | 0.00% | |
0.000000000517 | -8.98% | |
0.1866 | 0.59% | |
0.00165 | -2.37% | |
0.356 | 18.27% | |
0.10494 | 1.16% | |
0.1044 | 1.56% | |
6.092 | 1.03% | |
0.0000002275 | 2.57% | |
0.0005746 | 6.37% | |
0.003812 | 0.45% | |
0.0000002588 | 3.23% | |
0.00000000001316 | -4.84% | |
0.09130 | 0.23% | |
0.734 | -0.14% | |
0.01158 | 1.40% | |
0.1090 | 5.52% | |
0.003931 | -0.08% | |
0.2800 | -0.53% | |
0.000445 | 2.77% | |
0.2095 | -0.19% | |
0.000016 | -27.27% | |
0.0076 | 5.56% | |
0.001612 | -2.01% | |
0.07446 | -17.37% | |
0.1190 | -1.90% | |
0.001102 | -1.34% | |
0.000352 | 0.86% | |
0.5242 | 2.89% | |
0.000001790 | 3.47% | |
15.74 | 3.69% | |
0.1084 | 0.46% | |
0.0000641 | 25.20% | |
0.3150 | -3.11% | |
0.00008842 | -1.15% | |
0.1120 | -2.10% | |
0.8006 | 1.32% | |
0.008104 | -1.54% | |
0.00207 | 0.00% | |
0.2713 | 0.37% | |
0.670 | 3.40% | |
0.001480 | -3.01% | |
2.6997 | 3.62% | |
0.000033 | -48.44% | |
0.0000562 | 0.00% | |
0.00816 | 5.29% | |
0.0412 | 0.73% | |
0.000000000525 | 17.45% | |
0.000000000003920 | -15.52% | |
0.0000343 | 55.20% | |
1.375 | 0.00% | |
0.000090 | -10.00% | |
0.0000528 | 4.35% | |
1.202 | -3.92% | |
1.0357 | 1.43% | |
0.000000000228 | 0.88% | |
0.000022 | 0.00% | |
0.000000000794 | 0.63% | |
0.002030 | 0.10% | |
0.0008 | -11.11% | |
0.00604 | -11.05% | |
0.001300 | -30.85% | |
0.0001713 | 2.70% | |
0.00000000000661 | -24.11% | |
0.00000000000965 | -7.66% | |
0.0786 | 2.61% | |
0.17118 | -0.32% | |
1.982 | 3.55% | |
2.465 | 5.21% | |
0.0007612 | -0.22% | |
0.0226 | 0.44% | |
0.000113 | 1.80% | |
0.00090 | -1.10% | |
0.1848 | -0.54% | |
0.000000000000826 | 0.61% | |
0.0082 | 5.13% | |
0.000000000494 | -29.93% | |
0.003094 | -0.80% | |
0.002978 | 7.59% | |
0.1508 | 1.00% | |
0.00000000000046 | 12.20% | |
0.3540 | 0.03% | |
300.02 | -33.18% | |
0.2710 | -6.62% | |
0.1301 | -11.38% | |
0.000028 | 3.70% | |
0.0000006632 | 0.58% | |
0.02097 | 6.07% | |
0.1725 | 0.12% | |
0.664 | 1.53% | |
0.005457 | -3.23% | |
0.002279 | -30.11% | |
0.857 | 0.47% | |
0.1864 | 0.87% | |
0.00006 | -25.00% | |
0.0004627 | 0.02% | |
0.00000000000014 | 0.00% | |
0.0591 | -3.90% | |
0.0000000000000156 | -1.27% | |
0.00000000000102 | 0.00% | |
1.366 | 3.09% | |
0.0347 | -0.86% | |
0.002508 | 8.10% | |
0.00000867 | 0.00% | |
0.0003021 | -1.98% | |
0.001987 | 8.88% | |
0.03790 | 0.80% | |
0.0003370 | -1.95% | |
0.0005 | -44.44% | |
0.0903 | -1.85% | |
0.02372 | -9.47% | |
0.0007 | -41.67% | |
0.0000200 | -5.21% | |
0.00000000000024 | 60.00% | |
0.000838 | -3.90% | |
0.0095 | 3.26% | |
0.02717 | 1.46% | |
1.72 | 0.00% | |
0.01154 | 0.52% | |
0.2594 | -1.26% | |
0.604 | -0.33% | |
0.1137 | -1.56% | |
0.1676 | -1.64% | |
0.00300 | -57.08% | |
0.000046 | 48.39% | |
0.05575 | 0.00% | |
0.005850 | -50.95% | |
0.002226 | 3.10% | |
0.00125 | -0.79% | |
0.0000018 | -21.74% | |
0.0000164 | 0.00% | |
0.539 | 1.13% | |
0.0000579 | 0.00% | |
0.2007 | 0.85% | |
0.0000046 | 17.95% | |
0.0003621 | -5.63% | |
0.002700 | 0.52% | |
0.04057 | 0.00% | |
0.0000000030020 | -0.65% | |
0.4229 | 0.26% | |
0.0001 | 0.00% | |
0.2438 | 0.83% | |
0.00000000160 | -10.11% | |
0.0000442 | -5.35% | |
0.00192 | -2.54% | |
0.00002000 | 1.06% | |
0.02095 | -0.24% | |
0.000192770 | -0.80% | |
0.00614 | 0.00% | |
0.000043 | -25.86% | |
0.0371 | 2.20% | |
0.1702 | 0.41% | |
0.000000000001533 | -4.31% | |
0.00000080 | 0.00% | |
0.00072 | -6.49% | |
0.0005 | -16.67% | |
0.000001609 | -2.84% | |
0.0969 | 1.15% | |
0.002787 | -4.69% | |
0.000092 | 0.00% | |
0.00010000 | 0.00% | |
0.000000024 | -51.02% | |
0.000003725 | -0.03% | |
0.000000000106 | 0.95% | |
0.0002996 | -0.07% | |
0.04628 | 0.96% | |
0.0740 | 0.41% | |
0.002544 | 7.07% | |
0.00663 | 2.31% | |
0.8617 | 2.13% | |
0.000063 | 0.00% | |
0.000191728 | -0.60% | |
0.0301 | 0.67% | |
0.0000049 | -43.02% | |
0.0070 | -1.41% | |
0.000353 | -28.83% | |
0.000000000020 | -9.09% | |
0.0000301 | -8.51% | |
0.01542 | 2.46% | |
0.00000000001765 | 0.00% | |
0.0000119 | 0.00% | |
0.0002100 | 0.00% | |
0.0005903 | 0.05% | |
0.0005 | 0.00% | |
0.00000000000251 | 8.66% | |
0.002900 | 0.00% | |
0.001990 | 14.04% | |
0.000000002398 | -2.91% | |
0.000000000004 | -55.56% | |
0.2682 | 1.40% | |
0.1335 | 1.68% | |
0.0000837 | -16.30% | |
0.000054 | -1.82% | |
0.0200 | 4.17% | |
0.00113 | 0.00% | |
1.969 | 1.70% | |
0.000018 | -25.00% | |
0.00000000021849 | -0.09% | |
0.00755 | 0.00% | |
0.00000000003632 | -1.60% | |
0.00008799 | -0.26% | |
0.0000580 | 0.52% | |
0.0000054 | -1.82% | |
0.001120 | 0.00% | |
0.00000000031 | -35.42% | |
0.0243 | 1.25% | |
0.0203 | -2.40% | |
0.000452 | 0.00% | |
0.00072 | 4.35% | |
0.2914 | 8.41% | |
0.00004 | 0.00% | |
0.0089 | -8.25% | |
0.000035 | -43.55% | |
0.00008773 | 0.00% | |
0.000559 | 22.86% | |
0.00025 | 8.70% | |
0.00021 | -48.78% | |
5.606 | 1.08% | |
0.0063 | 0.00% | |
0.00000010 | -9.09% | |
0.00000000000090 | -4.26% | |
0.000000000725 | -2.95% | |
0.0006 | 0.00% | |
0.000201 | -6.94% | |
0.0482 | 1.05% | |
0.0648 | 0.93% | |
0.0604 | -0.17% | |
0.0005446 | 1.32% | |
0.000703 | 5.40% | |
0.01133 | -4.23% | |
0.5470 | 3.46% | |
0.00781 | 0.00% | |
0.03077 | 8.38% | |
0.00013 | 8.33% | |
0.6705 | 4.60% | |
0.000478 | -6.09% | |
1.007 | 1.61% | |
0.2080 | -5.92% | |
0.02562 | -3.36% | |
58.5600 | 0.00% | |
0.0001450 | -0.07% | |
0.1197 | -1.89% | |
0.0455 | -1.94% | |
0.2364 | -1.01% | |
0.0003595 | -10.44% | |
5.871 | -2.52% | |
0.02843 | -0.04% | |
0.004580 | -0.61% | |
0.0006079 | -3.03% | |
4.9510 | 5.65% | |
0.00400 | 0.00% | |
0.0009012 | 0.00% | |
0.005791 | 10.71% | |
0.003236 | -4.71% | |
0.001669 | 5.23% | |
0.0007993 | 0.00% | |
0.002957 | -11.97% | |
0.2159 | 5.11% | |
0.01698 | -0.41% | |
0.007581 | 1.59% | |
0.002917 | 28.96% | |
0.0013 | 0.00% | |
0.6632 | 2.35% | |
0.2085 | 1.07% | |
0.04528 | 6.59% | |
0.00592 | -1.17% | |
0.5085 | 5.89% | |
1.192 | -6.07% | |
0.000174 | 5.45% | |
0.0400 | 0.25% | |
0.02691 | 1.82% | |
0.000110 | 0.00% | |
0.0826 | 8.68% | |
0.589 | 2.08% | |
0.00925 | 2.78% | |
0.1617 | -1.88% | |
3.8900 | 0.00% | |
2.57 | -2.65% | |
0.582 | 0.87% | |
0.0999 | -2.25% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
48.329 | 0.62% | |
1.535 | -14.58% | |
0.05344 | 1.37% | |
0.0505 | -0.20% | |
2.797 | 4.02% | |
4.913 | 1.03% | |
0.0001320 | 0.00% | |
0.06960 | -1.47% | |
0.00083 | 0.00% | |
2.267 | -3.82% | |
0.6459 | 3.20% | |
0.0698 | -0.57% | |
0.2166 | 0.00% | |
0.001093 | -0.09% | |
0.00006800 | 0.00% | |
1.392 | -2.11% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0765 | -0.39% | |
1.1371 | 0.00% | |
0.000075 | -5.06% | |
0.3372 | 2.18% | |
0.02227 | 0.81% | |
70.6 | 3.07% | |
0.0009 | 0.00% | |
0.4424 | 0.00% | |
0.1136 | 1.52% | |
0.0321 | -0.93% | |
0.0463 | -3.34% | |
0.000335 | -9.21% | |
0.9746 | 0.00% | |
0.0071 | 0.00% | |
0.01544 | 0.98% | |
0.000210 | 0.00% | |
12.06 | 0.17% | |
0.00763 | 2.28% | |
0.1352 | -9.87% | |
6.75 | 2.58% | |
0.2100 | 0.10% | |
0.003907 | 0.44% | |
0.2273 | -2.07% | |
0.00000043 | 0.00% | |
0.1204 | 0.00% | |
2.609 | -3.55% | |
1.018 | -1.55% | |
0.004000 | 0.00% | |
4.48 | 2.05% | |
0.000300 | 0.00% | |
0.0023 | 0.00% | |
0.00035 | 0.00% | |
0.000000037 | -5.13% | |
0.0000193 | 0.00% | |
0.6998 | 52.36% | |
0.00220 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001013 | 0.00% | |
0.00030000 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.2466 | 0.37% | |
0.000492 | -5.02% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.003512 | 0.00% | |
0.0113 | -3.42% | |
9.360 | 2.14% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000007 | 16.67% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000106 | 0.00% | |
0.0000000042 | 0.00% | |
0.000000000375 | 0.00% | |
0.000000008399 | 0.00% | |
0.0063 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.9900 | 0.00% | |
0.0055 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000011 | 0.00% | |
0.001000 | 0.00% | |
0.00023474 | 0.00% | |
0.001000 | 0.00% | |
1.6799 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.000112 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0195 | 0.00% | |
0.05056 | 0.00% | |
0.00200 | 0.00% | |
0.00012 | 0.00% | |
0.000024 | 0.00% | |
0.001234 | 0.00% | |
0.0066 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.015910 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.006490 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
6.2788 | 0.00% | |
0.001000 | 0.00% | |
0.0786 | 0.00% | |
0.001200 | 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% | |
1.255 | 1.21% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.004390 | 0.00% | |
0.000412 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000204 | -0.49% | |
0.000258 | 0.00% | |
0.000701 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.0002201 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.04097 | 1.71% | |
0.0383 | 0.00% | |
1.76670591 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.0103 | 0.00% | |
0.00006 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.0014 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.0650 | 0.00% | |
0.00125 | 0.00% | |
1.0100 | 0.00% | |
0.010200 | 0.00% | |
0.0055 | 0.00% | |
0.88686 | 0.00% | |
0.03644 | 0.00% | |
0.000561 | 0.00% | |
0.01463 | 0.00% | |
0.0000086 | 8.86% | |
0.4606 | 0.00% | |
0.001800 | 0.00% | |
0.000001000 | 0.00% | |
104.52 | 0.00% | |
0.0000008 | 0.00% | |
0.00390 | 0.00% | |
0.0000194 | 0.00% | |
0.0000325 | 0.00% | |
0.00000240 | 0.00% | |
0.017330 | 0.00% | |
1.0000 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.0005 | 0.00% | |
0.1190 | 0.00% | |
0.00121 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.000001462 | 0.41% | |
0.000000005 | 0.00% | |
0.001200 | 0.00% | |
0.000313 | 0.00% | |
0.0000032 | 0.00% | |
0.0007000 | 0.00% | |
0.00000057 | -1.72% | |
0.00200 | 0.00% | |
0.0048 | 0.00% | |
0.3905 | 0.00% | |
0.000495 | 0.00% | |
0.00046 | 0.00% | |
0.00013699 | 0.00% | |
0.0000063 | 0.00% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000506 | 0.00% | |
0.01030 | 0.00% | |
3.7449 | 0.00% | |
0.0391 | 0.00% | |
0.00070 | 0.00% | |
0.000288 | 0.00% | |
0.0000269 | 0.00% | |
0.0000000500 | 0.00% | |
0.0000001300 | 0.00% | |
0.000900 | 0.00% | |
0.000426832 | 0.00% | |
0.00002803 | 0.00% | |
0.00639 | 0.00% | |
0.0810 | 0.00% | |
0.0000245 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.0030487 | 0.00% | |
0.000510 | 0.00% | |
0.00200 | 0.00% | |
0.0001100 | 0.00% | |
0.00150 | 0.00% | |
0.3101 | 0.00% | |
0.4450 | 0.00% | |
1.4371 | 0.00% | |
0.000264 | -0.75% | |
0.00625 | 0.00% | |
1899.00 | 0.00% | |
0.0000002930 | 0.00% | |
0.250 | 0.00% | |
0.3371 | 2.56% | |
0.001111 | 0.45% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.01036 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00988 | 1.33% | |
0.00538 | 0.00% | |
0.4560 | 6.00% | |
0.000000001868 | 0.00% | |
0.0015 | 0.00% | |
5155.00 | 0.00% | |
1.180 | 0.60% | |
0.0091 | 0.00% |