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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16.28 | -0.49% | |
0.1060 | 2.02% | |
0.688 | 1.18% | |
0.000640 | 0.00% | |
0.1129 | -1.91% | |
0.6489 | -1.38% | |
0.000000529 | -3.47% | |
0.1135 | 4.32% | |
171.001 | -0.30% | |
0.000005639 | -11.70% | |
0.00081717 | 2.97% | |
0.0301 | 0.33% | |
0.06049 | 1.17% | |
0.1372 | -1.65% | |
9.12 | -0.87% | |
3.410 | -0.58% | |
0.0614 | -6.26% | |
0.01426 | -0.77% | |
0.01139 | 0.89% | |
0.00037436 | 0.37% | |
0.0014554 | -0.47% | |
0.000370 | 0.27% | |
6.63 | -0.15% | |
0.003277 | 3.34% | |
0.035105 | 3.30% | |
0.1197 | 1.44% | |
0.140000 | 53.03% | |
0.002075 | 0.48% | |
0.0005539 | -1.95% | |
0.65996 | 9.86% | |
0.00003137 | 0.19% | |
1.7209 | 3.15% | |
0.01852 | 0.49% | |
0.02535 | 0.48% | |
0.0000015308 | -0.31% | |
0.4467 | -0.13% | |
0.019716 | 8.29% | |
0.00023211 | -2.54% | |
0.0004557 | 3.69% | |
0.0491 | 2.51% | |
0.000103 | 0.98% | |
0.01579 | 0.06% | |
0.000808 | -0.12% | |
0.0000908 | -0.98% | |
0.00001037 | -1.43% | |
4.631 | 0.96% | |
115.26 | -0.67% | |
0.003722 | 3.97% | |
0.07124 | 1.24% | |
0.009139 | 0.41% | |
0.003719 | -4.67% | |
0.00001580 | 10.88% | |
0.03243 | 1.34% | |
0.02628 | 16.39% | |
0.40468 | 0.59% | |
0.00041219 | -0.42% | |
0.005899 | -1.22% | |
0.1473 | -2.39% | |
0.0546 | -1.62% | |
1.374 | -0.72% | |
0.003300 | 0.15% | |
0.02728 | 3.84% | |
0.04961 | -10.11% | |
0.0954 | 0.21% | |
0.1783 | -0.56% | |
34.1947 | 0.05% | |
0.1749 | -0.23% | |
0.003113 | -1.36% | |
0.4278 | 0.75% | |
0.09476 | -1.87% | |
0.01347 | -5.34% | |
0.3597 | 2.27% | |
0.1942 | 3.02% | |
0.0000178 | 2.89% | |
0.0624 | -2.19% | |
0.4893 | -0.77% | |
0.02108 | -1.17% | |
0.020480 | 11.79% | |
0.04760 | -33.89% | |
0.000009901 | -2.20% | |
0.00005683 | 0.12% | |
0.000437 | -26.92% | |
0.2853 | -0.21% | |
0.004020 | -1.98% | |
0.0001527 | -0.20% | |
0.04328 | 1.96% | |
0.1234 | 2.41% | |
0.000223 | 15.54% | |
1.1839 | 0.00% | |
62.5021 | 0.64% | |
107.9901 | -0.85% | |
0.18768 | -2.84% | |
0.0586 | 0.00% | |
0.3830 | 2.32% | |
0.003624 | 0.78% | |
0.000000001744 | -32.61% | |
5.7627 | 1.36% | |
1.257 | 1.05% | |
0.0004000 | 0.25% | |
0.024012 | 0.05% | |
0.16206 | 0.32% | |
0.07332 | -1.85% | |
0.0101033 | 7.68% | |
0.03008 | -2.21% | |
1.345 | -0.15% | |
0.003854 | 0.00% | |
0.00335 | -0.30% | |
0.000920 | -8.91% | |
0.000000068743 | 0.28% | |
0.01809 | 1.01% | |
0.00246 | 0.00% | |
0.8517 | 2.61% | |
0.01500 | -2.53% | |
0.006712 | 1.30% | |
0.000118 | -0.84% | |
0.003885 | 0.13% | |
0.14202 | 0.09% | |
0.025921 | -1.84% | |
0.006910 | -3.84% | |
0.00000709 | -1.39% | |
2.230 | -0.45% | |
0.01011 | -0.59% | |
6.8877 | 5.22% | |
0.0002258 | 0.62% | |
0.007437 | 5.30% | |
0.00009776 | 45.76% | |
0.07262 | -1.18% | |
0.001650 | -2.37% | |
0.002561 | 0.43% | |
0.000000000322 | 0.94% | |
0.7993 | -1.27% | |
0.02072 | 3.44% | |
0.000221 | -4.74% | |
0.015720 | 139.60% | |
0.008145 | 1.55% | |
0.01431 | -1.85% | |
0.0104 | -0.95% | |
0.1672 | -0.89% | |
0.4011 | -2.50% | |
0.030002 | 0.42% | |
0.0637 | -0.78% | |
0.06608 | 23.56% | |
0.02978 | -2.97% | |
0.007994 | -1.70% | |
0.2741 | 0.70% | |
0.10724 | -2.59% | |
0.014092 | 2.82% | |
0.10736 | 15.83% | |
0.05842 | 0.88% | |
7.922 | -3.47% | |
1.5118 | 12.68% | |
0.07683 | 5.39% | |
0.025814 | 2.56% | |
0.00020043 | -1.52% | |
8.647 | 0.03% | |
0.9774 | 2.19% | |
0.4263 | 0.02% | |
0.001569 | -6.50% | |
0.04834 | -0.39% | |
0.07658 | -5.59% | |
0.0917 | 0.33% | |
0.00633 | -6.91% | |
0.01812 | -0.11% | |
0.02972 | 2.27% | |
0.003224 | -1.92% | |
0.02534 | 8.94% | |
0.006375 | -10.76% | |
2100 | -0.43% | |
0.000300 | 0.33% | |
0.005539 | -7.99% | |
0.00120005 | -20.00% | |
0.002931 | 47.81% | |
5.3273 | 0.02% | |
0.02515 | -5.84% | |
0.000000022472 | -2.68% | |
0.0762 | -0.26% | |
0.003596 | 20.35% | |
0.002357 | 6.80% | |
0.003779 | -0.71% | |
0.1216 | 0.75% | |
0.05734 | 1.09% | |
0.12592 | -10.64% | |
0.1981 | -3.60% | |
0.00017557 | -10.31% | |
0.01284 | -1.15% | |
0.3465 | 0.49% | |
0.00000145 | 27.19% | |
0.004374 | -1.04% | |
3.0518 | 0.96% | |
0.0380 | 0.00% | |
0.0993 | 0.00% | |
0.08611 | -9.67% | |
0.1887 | -1.05% | |
0.0005528 | 33.24% | |
0.0000000001208 | 4.23% | |
0.00401 | -1.96% | |
0.000417 | 9.16% | |
0.3372 | -0.82% | |
0.16514 | -0.11% | |
0.4944 | 8.14% | |
0.018799 | 1.62% | |
0.0313 | -0.32% | |
0.02381 | -0.17% | |
3.030 | 4.09% | |
0.017480 | -23.04% | |
0.00449 | 1.35% | |
2.4156 | -7.09% | |
0.2594 | -0.77% | |
0.000133 | 26.67% | |
0.029994 | -9.93% | |
0.043150 | 0.35% | |
0.00000003844 | -6.27% | |
0.00000001122 | 2.94% | |
0.2621 | 1.94% | |
4.4022 | 0.00% | |
0.16750 | 5.99% | |
0.05009 | -0.02% | |
0.0022 | 100.00% | |
0.000003952 | -8.58% | |
0.000006620 | -0.60% | |
0.00000012104 | -0.66% | |
0.0000807 | -1.22% | |
0.0003962 | -2.22% | |
1.450 | 60.93% | |
0.015000 | 1.93% | |
0.0986 | -0.90% | |
0.00000008572 | -9.83% | |
1.9691 | 25.45% | |
0.17064 | -0.01% | |
0.14198 | 0.83% | |
0.0004014 | 1.29% | |
0.003200 | 6.17% | |
1.417 | -1.46% | |
0.058059 | 13.78% | |
0.000000003429 | 14.61% | |
1.0377 | -1.40% | |
0.1946 | -0.87% | |
0.00554 | 48.92% | |
0.00000000329 | 0.00% | |
0.12564 | -2.40% | |
0.001045 | 0.00% | |
0.012780 | 9.96% | |
0.01959 | -0.10% | |
0.00017635 | 3.67% | |
0.02808 | 14.24% | |
0.005683 | -1.22% | |
0.00204999 | 4.06% | |
0.0000000011000 | 12.74% | |
0.5276 | -1.51% | |
0.0163378 | -2.05% | |
0.0000535 | -32.19% | |
2.0416 | 3.11% | |
0.004956 | 7.27% | |
0.000107 | -5.31% | |
0.03616 | -11.96% | |
0.0472 | 2.16% | |
0.1085 | 0.65% | |
0.0619 | 0.00% | |
0.004631 | -2.98% | |
0.05624 | -1.75% | |
11.1890 | 6.44% | |
0.002675 | 0.83% | |
0.03761 | 0.51% | |
0.0486 | -0.41% | |
0.001534 | 5.07% | |
0.011207 | 32.05% | |
0.01661 | -4.10% | |
0.00001472 | 12.20% | |
0.4563 | -0.52% | |
0.0533 | -5.83% | |
0.01112 | -7.33% | |
0.006946 | 28.75% | |
0.00003001 | 0.00% | |
0.000188 | -1.05% | |
0.000970 | 3.41% | |
0.000959 | 8.24% | |
0.01180 | 0.34% | |
1.175 | -4.08% | |
0.000551 | -0.90% | |
0.00000003232 | -2.39% | |
0.01396 | 16.04% | |
0.000461 | -7.24% | |
0.007502 | 59.52% | |
0.0657 | 0.15% | |
0.025017 | -7.89% | |
0.008513 | 1.47% | |
0.003806 | 14.85% | |
0.2185 | 9.25% | |
0.0735 | 10.53% | |
0.00002387 | 6.56% | |
0.034231 | 19.71% | |
0.11677 | 1.41% | |
0.01734 | 9.68% | |
0.09895 | -1.89% | |
0.1706 | -0.06% | |
0.001326 | 26.41% | |
0.0217852 | -2.19% | |
0.072498 | 2.98% | |
0.02439 | -1.09% | |
0.015736 | 29.54% | |
0.00511 | 1.79% | |
0.08527 | 0.91% | |
0.54885 | -13.47% | |
0.0014068 | -0.28% | |
0.00002969 | -2.62% | |
0.00420 | -15.66% | |
0.000186 | -1.06% | |
0.8554 | 1.03% | |
0.0994 | -1.58% | |
0.000402 | 2.55% | |
0.02571 | 1.10% | |
0.0001211 | 28.69% | |
0.004267 | -3.46% | |
0.00938 | 0.64% | |
0.6800 | 2.01% | |
0.0000620 | -1.59% | |
0.00000206 | 0.00% | |
0.000300 | 0.33% | |
0.09218 | -2.03% | |
0.73281 | -0.11% | |
0.1790 | -1.54% | |
0.003380 | 27.84% | |
0.241 | 0.42% | |
1.377 | 0.95% | |
0.005605 | -16.48% | |
0.1446 | 0.84% | |
0.001771 | -25.56% | |
0.310 | 0.98% | |
0.00014389 | -5.05% | |
0.017151 | -11.43% | |
0.000055 | -3.51% | |
0.00001815 | -1.25% | |
0.011115 | -4.27% | |
0.6156 | -0.21% | |
0.01215 | 0.08% | |
0.2870 | -0.42% | |
0.0274 | 18.10% | |
0.001839 | -0.76% | |
0.028665 | -6.15% | |
0.01663 | -1.19% | |
4.62 | -2.53% | |
0.001976 | -0.35% | |
0.004013 | 0.60% | |
0.008833 | -3.56% | |
0.18225 | -0.37% | |
0.017286 | -3.53% | |
0.000725 | 0.14% | |
0.000890 | 1.25% | |
0.002876 | -14.43% | |
0.021807 | -1.77% | |
0.001029 | 0.88% | |
0.3664 | 0.41% | |
0.0000007108 | -1.93% | |
0.00021619 | 14.39% | |
0.000198 | 0.51% | |
0.003420 | -0.96% | |
0.000131 | 0.00% | |
0.007976 | 3.88% | |
0.002731 | 17.11% | |
3.1238 | 0.34% | |
0.00000069 | 0.00% | |
0.00001760 | -1.29% | |
0.000752 | -3.22% | |
0.0000139730 | -8.09% | |
0.2296 | -1.12% | |
1.3721 | -2.86% | |
0.396 | 0.76% | |
0.10307 | -13.70% | |
2.1625 | 0.68% | |
0.0000094 | -25.40% | |
0.00003955 | -1.13% | |
0.004730 | -0.82% | |
0.01922 | 1.05% | |
0.024741 | 3.63% | |
0.001158 | -8.96% | |
0.000493 | -0.40% | |
0.0474 | -0.42% | |
0.017049 | -3.11% | |
0.15387 | 1.40% | |
13.23 | -13.07% | |
0.00000003420 | -1.89% | |
0.0503 | 4.79% | |
0.05041 | 10.69% | |
0.1578 | -1.13% | |
0.00477 | 10.16% | |
0.2265 | -0.83% | |
0.003970 | 14.71% | |
0.000750 | -3.23% | |
0.7192 | -19.13% | |
2.2051 | 9.18% | |
0.002897 | -16.08% | |
1.3058 | 0.10% | |
0.0832 | -0.24% | |
0.012136 | -1.14% | |
0.4288 | -1.43% | |
0.11180 | -1.77% | |
0.001454 | -1.62% | |
0.0000000433 | 2.36% | |
0.000586 | -13.70% | |
0.009689 | 10.55% | |
0.00174 | -0.57% | |
0.1192 | 0.51% | |
0.005205 | -13.97% | |
0.005122 | 20.66% | |
0.004184 | 5.34% | |
0.000000008260 | 6.86% | |
0.278 | 1.46% | |
0.00004114 | 0.69% | |
0.1893 | 0.32% | |
0.05682 | 6.68% | |
0.2919 | -7.98% | |
0.02343 | 11.15% | |
0.06122 | 0.05% | |
0.006204 | 0.86% | |
0.1156 | -1.95% | |
0.00006042 | -1.11% | |
0.552 | 0.18% | |
0.00837 | 0.60% | |
0.2045 | -0.34% | |
0.00002 | 100.00% | |
0.001427 | -3.65% | |
13.8050 | -0.15% | |
0.019841 | 8.14% | |
0.03971 | 5.78% | |
0.000481 | -17.64% | |
0.004247 | 16.52% | |
0.001516 | 1.07% | |
0.000211 | 1.93% | |
1.2946 | 58.85% | |
0.006413 | 0.82% | |
6.62 | 0.00% | |
0.04315 | 9.91% | |
0.000285 | -3.06% | |
0.002096 | 0.14% | |
0.000033 | 6.45% | |
0.0830 | 1.22% | |
0.01626 | 7.54% | |
0.0009314 | 1.56% | |
0.001479 | 4.01% | |
0.18245 | -3.90% | |
0.4430 | -1.95% | |
0.00001456 | 0.00% | |
0.001280 | -0.31% | |
0.5897 | 0.26% | |
0.006968 | -5.67% | |
0.6177 | 8.25% | |
0.000834 | -21.17% | |
0.04339 | 1.40% | |
0.001562 | 26.48% | |
0.00954 | -4.98% | |
0.0007734 | -6.03% | |
0.01708 | -5.11% | |
0.004960 | -6.85% | |
0.0002024 | 0.15% | |
0.002415 | -20.40% | |
0.0926 | 14.04% | |
0.0002246 | 3.03% | |
0.009248 | 26.37% | |
0.1442 | -2.63% | |
0.02692 | 8.86% | |
0.0000525 | 0.38% | |
0.000000770 | 48.08% | |
0.03568 | -0.11% | |
0.0866 | -0.35% | |
0.04006 | -1.86% | |
0.03210 | 1.07% | |
0.00510 | -5.56% | |
0.000593 | -18.43% | |
0.0006069 | 5.92% | |
0.06120 | -2.53% | |
0.00001787 | -0.83% | |
1.8517 | 2.33% | |
0.016016 | -3.13% | |
0.001653 | -12.91% | |
0.0015964 | -9.09% | |
0.03180 | -1.33% | |
0.1700 | -2.30% | |
0.00358 | 1.99% | |
0.3860 | 22.04% | |
0.2137 | 21.77% | |
0.001176 | -12.82% | |
0.004180 | 20.39% | |
0.04355 | 1.07% | |
0.001012 | 0.20% | |
0.007531 | -4.76% | |
0.22448 | 11.80% | |
46.923 | 0.00% | |
0.002353 | -0.08% | |
0.03426 | 3.60% | |
0.02218 | 0.45% | |
0.019516 | 10.23% | |
0.000011030 | 6.62% | |
0.001605 | -12.05% | |
0.003599 | 4.65% | |
0.28337 | 0.00% | |
0.00230 | 1.32% | |
9.105 | 0.86% | |
0.007676 | 3.79% | |
0.00074 | -1.33% | |
0.001572 | -3.56% | |
0.008757 | -4.75% | |
0.02692 | -5.44% | |
0.000899 | -0.11% | |
0.0703 | 0.86% | |
0.000938 | 20.26% | |
0.004172 | -1.88% | |
0.0420 | 41.41% | |
0.005371 | -3.03% | |
0.0771 | -0.90% | |
0.00190 | -8.65% | |
0.00310 | 94.97% | |
0.07753 | -2.08% | |
0.0373 | 0.54% | |
0.01268 | 3.26% | |
0.04560 | 4.42% | |
0.0013639 | -8.46% | |
0.578 | 0.17% | |
0.004828 | -11.25% | |
0.000528 | 9.09% | |
0.5115 | -1.45% | |
0.01037 | 0.10% | |
0.0012519 | -4.33% | |
0.005210 | 7.47% | |
0.0391 | -14.63% | |
0.03555 | 12.54% | |
0.9950 | -0.40% | |
0.0689 | 6.33% | |
17.36 | -7.90% | |
0.02266 | -1.56% | |
0.000944 | 1.40% | |
0.01500 | -6.48% | |
0.04256 | -0.23% | |
0.00001392 | -11.34% | |
0.00635 | -5.79% | |
0.001994 | 2.05% | |
0.03724 | -1.69% | |
0.1402 | 10.48% | |
0.663 | 0.15% | |
0.000191 | 15.06% | |
0.006994 | 16.55% | |
0.003466 | -6.43% | |
0.00808 | -12.93% | |
0.02070 | 1.92% | |
0.785 | 2.48% | |
0.5440 | -0.87% | |
0.00002128 | 41.40% | |
10.27 | 0.98% | |
0.00003812 | -16.22% | |
0.002118 | -3.81% | |
0.0000365 | -0.54% | |
0.14397 | 2.39% | |
0.00452 | 5.36% | |
0.00834 | 13.16% | |
0.0005 | -50.00% | |
0.000002220 | 1.09% | |
0.012859 | -7.42% | |
0.3587 | 0.20% | |
0.8400 | 1.58% | |
0.06668 | -3.92% | |
0.006149 | -1.85% | |
0.003643 | 25.79% | |
0.00000000002099 | -8.82% | |
0.001119 | 29.36% | |
0.00006255 | 0.74% | |
0.003919 | 20.03% | |
0.000171 | -0.58% | |
0.00000000370 | -13.95% | |
0.04397 | 8.35% | |
0.00649 | 2.53% | |
0.0990 | 3.13% | |
0.000000005857 | -7.76% | |
0.000018 | 5.88% | |
0.001176 | -9.68% | |
0.007069 | -0.35% | |
0.0013857 | 4.72% | |
0.0280 | 75.00% | |
0.003986 | -1.12% | |
0.022105 | 22.13% | |
0.00166 | 1.22% | |
0.0007009 | -0.61% | |
0.00000173 | -2.26% | |
0.001400 | -19.54% | |
0.06125 | 0.77% | |
0.02486 | 1.55% | |
0.000778 | -2.87% | |
0.00917 | 0.22% | |
0.0000205000 | 10.81% | |
0.0007048 | -0.11% | |
0.0015870 | -0.13% | |
0.0000555 | 32.14% | |
0.02026 | 8.05% | |
0.07869 | -8.52% | |
0.004955 | -0.08% | |
0.003572 | 9.07% | |
0.02780 | -2.15% | |
0.0004369 | 4.47% | |
0.000385 | -3.27% | |
0.0002650 | -32.19% | |
0.009874 | 6.40% | |
0.000997 | 40.82% | |
0.000977 | 4.27% | |
0.09730 | -4.89% | |
0.007006 | -2.11% | |
0.3219 | -0.28% | |
0.04866 | 0.08% | |
0.002093 | -1.55% | |
0.00528 | -0.75% | |
0.002602 | -1.21% | |
0.01773 | 0.34% | |
0.0000158 | 4.64% | |
0.000008 | -33.33% | |
0.007620 | 0.09% | |
0.0004538 | -1.28% | |
0.003723 | -4.83% | |
0.7315 | 0.36% | |
0.023792 | 1.11% | |
0.0169 | 4.97% | |
0.1014 | 12.04% | |
0.42201 | 1.51% | |
0.00828 | -9.31% | |
0.000000000002611 | 0.27% | |
0.0085 | -1.16% | |
0.03744 | -1.50% | |
0.0005751 | 1.70% | |
0.00000000000114 | 20.00% | |
0.00714 | -0.83% | |
0.00300 | 0.00% | |
0.0170 | 3.03% | |
0.1909 | 0.21% | |
0.6844 | -1.58% | |
0.001357 | 15.00% | |
0.06023 | -2.45% | |
0.000458 | -3.38% | |
0.1819 | -1.36% | |
0.003218 | 13.19% | |
5102.01 | -10.48% | |
0.0000013160 | 2.54% | |
0.000000001280 | -10.11% | |
0.00004130 | 2.61% | |
0.0000139 | 10.32% | |
0.002028 | 10.58% | |
0.000542 | -0.55% | |
0.00000000000408 | -0.49% | |
0.000907 | 4.73% | |
3382.85 | -0.37% | |
0.00000000000012 | 0.00% | |
0.04659 | 0.32% | |
0.004594 | 1.57% | |
0.3435 | 0.00% | |
225.3399 | -0.45% | |
0.02934 | 5.88% | |
0.002180 | 5.36% | |
0.000000593 | -6.76% | |
0.02199 | -0.18% | |
0.1215 | -0.82% | |
0.3691 | -6.70% | |
0.00000390 | -0.51% | |
0.1307 | -1.80% | |
0.2066 | -0.19% | |
0.000280 | -28.21% | |
0.07473 | -1.71% | |
0.1705 | -4.91% | |
0.00121 | 0.00% | |
0.035370 | -0.16% | |
16.890 | -0.24% | |
0.00021957 | -0.19% | |
0.00002901 | 1.86% | |
0.0000001490 | -8.08% | |
0.01522 | 0.13% | |
0.000001988 | 9.11% | |
1.071 | -0.37% | |
0.000701 | 0.72% | |
0.000000002150 | 0.99% | |
0.00484 | 10.50% | |
2.1993 | -0.01% | |
0.00000000000038 | 2.70% | |
0.00043 | 7.50% | |
0.0001259 | -1.41% | |
0.000333 | -6.98% | |
0.000026 | -7.14% | |
0.0000380 | -1.04% | |
0.603 | -1.15% | |
0.0000000000000460 | -2.34% | |
0.00764 | -0.26% | |
0.0000000030331 | -9.93% | |
0.3795 | -0.08% | |
0.001056 | 3.53% | |
0.01022 | 0.39% | |
0.03382 | -1.80% | |
0.000650 | 1.56% | |
0.03411 | -1.67% | |
0.000220 | -4.35% | |
0.00000000001158 | 0.70% | |
0.001608 | 10.90% | |
0.0162 | 3.85% | |
0.00147 | 0.00% | |
0.0086 | -16.50% | |
0.000846 | 4.06% | |
0.0039 | 5.41% | |
0.0032 | -60.49% | |
0.0000210000 | 0.00% | |
0.001282 | -62.50% | |
0.000109 | 4.81% | |
0.000097 | -3.96% | |
0.02546 | -0.20% | |
0.0000150 | -29.58% | |
0.00012000 | 0.00% | |
0.016166 | -0.10% | |
0.000365 | -1.35% | |
0.000000000038 | 2.70% | |
0.00150091 | 0.02% | |
0.004003 | 0.02% | |
0.000688 | 0.00% | |
0.001578 | 8.23% | |
0.0012 | -14.29% | |
0.00003051 | 0.00% | |
0.000423 | 0.48% | |
0.0015 | 0.00% | |
0.00000000000147 | -2.00% | |
0.03319 | -0.06% | |
0.0001198 | 23.25% | |
0.0000000274 | 0.00% | |
0.001118 | -0.62% | |
0.000340 | 5.59% | |
0.00045 | 4.65% | |
0.0000341 | -6.32% | |
0.00000000000019 | 0.00% | |
0.8213 | 1.31% | |
0.000000001019 | -19.57% | |
0.001641 | 1.30% | |
0.00380 | -2.56% | |
1.0849 | -2.30% | |
0.00000034444 | -11.43% | |
0.000000000022 | 0.00% | |
0.04898 | 0.00% | |
0.000582 | 2.46% | |
0.000225 | -50.00% | |
0.000633 | -0.16% | |
0.000500 | -6.37% | |
0.0000001023 | 0.39% | |
0.00000000000740 | -0.27% | |
0.00003892 | 0.96% | |
0.0001 | 0.00% | |
0.000010 | -95.24% | |
0.001200 | 0.00% | |
0.000257 | -1.15% | |
0.000066 | 32.00% | |
0.06158 | 1.25% | |
0.002099 | -0.85% | |
0.00273 | -0.73% | |
0.01563 | -6.46% | |
0.0000817 | 1.87% | |
58.5600 | 0.00% | |
0.0002135 | 0.05% | |
4.608 | -0.84% | |
0.000438 | -0.90% | |
0.004181 | -0.45% | |
0.0092 | 0.00% | |
0.001243 | 3.24% | |
0.0007993 | 0.00% | |
0.000200 | 0.00% | |
0.1226 | -4.22% | |
0.1001 | 0.00% | |
0.001324 | 5.75% | |
0.00351 | -4.88% | |
0.01121 | -1.23% | |
0.0003288 | -0.57% | |
0.001489 | 1.36% | |
0.002098 | 3.96% | |
0.01031 | -6.19% | |
0.002565 | -6.73% | |
0.3182 | -1.06% | |
0.0859 | -2.72% | |
0.04989 | -0.18% | |
0.004362 | 3.98% | |
0.08230 | -1.56% | |
7.0097 | -0.97% | |
0.1413 | -0.98% | |
0.5668 | -0.18% | |
0.00237 | -4.44% | |
0.035801 | 0.29% | |
0.000699 | -8.39% | |
0.000834 | 6.79% | |
0.001650 | 0.00% | |
0.0887 | -0.56% | |
0.00001 | 0.00% | |
0.0003731 | -0.48% | |
0.004115 | -4.77% | |
0.000059 | 0.00% | |
0.00426 | -1.62% | |
0.09930 | -0.62% | |
0.0656 | -0.15% | |
0.000054 | 0.00% | |
0.02955 | -4.00% | |
0.2110 | 1.54% | |
0.467 | -1.27% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.000000609 | 0.00% | |
0.08497 | -0.27% | |
0.00000000004203 | 0.00% | |
1.1001 | 0.00% | |
0.000082 | -5.75% | |
0.02180 | 0.00% | |
0.4424 | 0.00% | |
0.0071 | 0.00% | |
0.000000001050 | 0.00% | |
0.000055655 | 0.00% | |
0.1204 | 0.00% | |
0.00035 | 0.00% | |
0.000000040 | 14.29% | |
0.0011 | 0.00% | |
0.00045 | 0.00% | |
0.002609 | 0.00% | |
0.000715 | 0.00% | |
0.010308 | 0.00% | |
0.0000002593 | 0.00% | |
0.000029 | 3.57% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.2491 | 0.08% | |
0.00000000045 | 0.00% | |
0.000684 | -0.29% | |
0.00000000000325 | 0.00% | |
0.000067 | 0.00% | |
0.0000000069 | 1.47% | |
0.000000000119 | 0.00% | |
0.00002791 | 1.45% | |
0.000000003052 | 0.00% | |
0.0084 | -1.18% | |
0.000390 | 0.00% | |
-- | -- | |
0.00000001 | 0.00% | |
0.0000008094 | -5.53% | |
0.00017923 | 0.00% | |
0.000064 | 0.00% | |
0.0703 | 0.00% | |
0.00425 | 0.00% | |
0.00002400 | 0.00% | |
0.00000406 | 0.25% | |
0.000502 | 0.00% | |
0.00152 | 0.00% | |
0.014572 | -1.82% | |
0.05056 | 0.00% | |
0.00005044 | 0.00% | |
0.0000204 | 0.00% | |
0.000020 | 0.00% | |
0.000423 | 0.00% | |
0.00067 | 0.00% | |
0.001562 | 0.00% | |
0.00000152 | 0.00% | |
0.000363 | 0.00% | |
0.0105 | 0.00% | |
1.2800 | 0.00% | |
0.00004800 | 0.00% | |
0.02799 | 0.00% | |
0.0786 | 0.00% | |
65.0492 | 0.00% | |
0.0039 | 0.00% | |
0.001597 | 0.00% | |
2.2869 | 0.00% | |
0.0000000161 | 1.90% | |
0.1293 | 0.00% | |
0.08562 | 0.00% | |
0.0096 | 0.00% | |
2.1214 | 0.00% | |
0.000260 | 0.00% | |
0.9850 | 0.00% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.0076 | 0.00% | |
0.000022 | 0.00% | |
0.01989 | 0.00% | |
0.0244 | 0.00% | |
0.00501 | 0.00% | |
0.01000 | 0.00% | |
0.00272 | 0.00% | |
0.00197 | 0.00% | |
0.06489 | 0.00% | |
0.9900 | 0.00% | |
0.010200 | 0.00% | |
0.88686 | 0.00% | |
0.017340 | 0.00% | |
0.000540 | 0.00% | |
0.1723 | 0.00% | |
0.00583 | 0.00% | |
0.00772 | 0.00% | |
0.04540 | 0.00% | |
0.13034 | 0.00% | |
0.000001000 | 0.00% | |
1.3277 | 0.98% | |
0.00410 | 0.00% | |
0.925 | 0.00% | |
0.0004 | 0.00% | |
0.000001378 | -0.07% | |
0.01073 | 0.00% | |
0.3720 | 0.00% | |
0.3033 | 0.00% | |
0.004091 | 45.17% | |
0.0000408 | 2.00% | |
3950.87 | 0.00% | |
0.00001110 | 0.00% | |
0.00139 | 0.00% | |
200.01 | 0.00% | |
0.0000000500 | 0.00% | |
0.000066 | 0.00% | |
0.0579 | 0.00% | |
0.0011111 | 0.00% | |
0.000048 | 0.00% | |
0.4182 | 0.00% | |
0.0030900 | 0.00% | |
0.00001 | 0.00% | |
1.5901 | 0.00% | |
0.000570 | 0.00% | |
0.0001 | 0.00% | |
0.00164 | 0.00% | |
0.0000228 | 0.00% | |
1.5000 | 0.00% | |
0.00159 | 0.00% | |
0.000016 | 0.00% | |
0.0000485 | 0.00% | |
0.1044 | 0.00% | |
0.7326 | 0.00% | |
0.04979 | 0.00% | |
0.00113 | 0.00% | |
0.00134 | 0.00% | |
0.000161 | 0.00% | |
0.9913 | 0.01% | |
0.9930 | -1.82% | |
0.9997 | 0.00% | |
1.1571 | -0.16% | |
1.1706 | 2.72% | |
0.0219 | 0.00% | |
0.40506 | -0.56% | |
0.1044 | -5.26% | |
0.003200 | 0.00% | |
0.000021 | 0.00% | |
0.250 | 0.00% | |
0.001203 | 0.00% | |
0.0021 | 0.00% | |
0.4758 | 0.00% | |
0.01111 | 0.00% | |
0.000000000681 | 0.00% | |
0.00034 | 0.00% | |
2.70 | 0.00% | |
0.00827 | 0.61% | |
0.00592 | 0.00% | |
0.0021 | 0.00% | |
0.0089 | 0.00% |