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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مطالب مرتبط
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0.00480 | 0.00% | |
0.0782 | -0.51% | |
0.021196 | -0.01% | |
0.001289 | -41.91% | |
0.008070 | -0.22% | |
0.3140 | -0.35% | |
0.848 | -7.12% | |
4.95 | -8.67% | |
0.00724 | -13.50% | |
0.00000000000010 | -44.44% | |
0.00007172 | -13.58% | |
17.899 | -0.92% | |
0.00003944 | -0.05% | |
0.00140 | -0.71% | |
0.4441 | -5.71% | |
0.0558 | -12.40% | |
0.18618 | -3.12% | |
0.001190 | -7.10% | |
0.000260 | -9.72% | |
0.0970 | -9.35% | |
0.00001211 | -2.96% | |
18.10 | -3.93% | |
2.6937 | -1.22% | |
0.7684 | 0.50% | |
0.0879 | -1.24% | |
0.000119 | 0.00% | |
0.0006502 | -30.82% | |
0.00002432 | 2.49% | |
0.05123 | -0.50% | |
0.09000 | 0.01% | |
0.4876 | 387.60% | |
0.03240 | -12.41% | |
0.511 | -8.26% | |
0.1129 | -0.62% | |
1.7628 | -0.01% | |
0.00287 | 1.77% | |
0.000777 | -5.59% | |
5.060 | -12.41% | |
0.005310 | -5.75% | |
0.007125 | 38.62% | |
0.006068 | -1.78% | |
0.00000007038 | -16.11% | |
0.3915 | -16.02% | |
252.5 | -4.57% | |
0.004690 | -21.70% | |
0.00058 | 9.43% | |
3.747 | -5.93% | |
0.000845 | -1.29% | |
0.06064 | -5.93% | |
0.01017 | -3.60% | |
0.3969 | -6.41% | |
0.002465 | -8.87% | |
0.065266 | -2.39% | |
0.01100 | -23.24% | |
0.0011121 | -9.39% | |
0.0000000396 | -14.47% | |
0.000000001497 | 0.00% | |
0.0852 | -6.68% | |
0.00239 | -2.45% | |
28.55 | -10.02% | |
1.1647 | -22.26% | |
0.00846 | -4.41% | |
19.0433 | -11.69% | |
0.04942 | -7.05% | |
2075.26 | -3.60% | |
0.000372 | -0.53% | |
1.0434 | -12.21% | |
0.3005 | -9.68% | |
0.005000 | 1.67% | |
0.2135 | -1.29% | |
0.002387 | -9.38% | |
0.0003173 | -7.00% | |
5.197 | -10.63% | |
11.55 | -6.85% | |
0.949 | -10.39% | |
0.04177 | -10.33% | |
0.0731 | 23.69% | |
0.002644 | -13.43% | |
0.03186 | -14.54% | |
0.002178 | 1.26% | |
0.005144 | 15.00% | |
0.828 | -8.91% | |
0.00343458 | -9.75% | |
0.000000486 | -14.74% | |
0.2010 | 24.38% | |
0.001450 | -11.31% | |
0.03475 | -7.51% | |
0.000385 | -1.53% | |
0.3506 | -1.27% | |
0.00003339 | -15.36% | |
0.0002394 | 6.97% | |
0.509 | -9.59% | |
6.87 | -9.61% | |
0.01469 | 0.27% | |
0.0002318 | -8.78% | |
1.1323 | -13.98% | |
0.02380 | -10.46% | |
6.08 | -2.09% | |
0.000705 | 0.14% | |
0.6975 | -7.46% | |
0.2338 | -50.02% | |
4.565 | -6.42% | |
0.566 | -8.71% | |
0.0006416 | -8.37% | |
0.001638 | -11.51% | |
0.01156 | -10.53% | |
6.384 | -7.09% | |
0.3522 | -5.65% | |
0.00000001883 | 34.79% | |
175.31 | -5.18% | |
0.1195 | -9.19% | |
6.744 | -7.00% | |
0.00006248 | -6.31% | |
0.00001964 | -23.34% | |
0.01289 | 2.79% | |
0.000820 | -6.18% | |
0.00125 | 4.17% | |
1423 | -1.59% | |
10.168 | 6.87% | |
0.00456 | -8.80% | |
0.2283 | -5.31% | |
0.01058 | -4.34% | |
0.0100 | -0.99% | |
0.01750 | -17.72% | |
0.1874 | 9.72% | |
0.000000000240 | -3.61% | |
0.003184 | -9.26% | |
0.3695 | -10.10% | |
0.0000175 | -26.47% | |
0.0609 | 1.50% | |
0.00600 | -65.14% | |
0.00569 | -9.54% | |
0.0000016783 | -1.25% | |
0.01362 | -5.55% | |
0.01130 | -11.93% | |
2.387 | -7.77% | |
0.0002351 | -18.48% | |
0.00000014977 | -7.57% | |
0.0004167 | -6.36% | |
0.1616 | -9.21% | |
0.0714 | -9.85% | |
0.0061 | -1.61% | |
9.62 | -8.47% | |
0.002873 | -15.94% | |
0.003218 | -9.99% | |
0.0005086 | -11.70% | |
1.6232 | 7.78% | |
0.001215 | -5.23% | |
0.013772 | 1.00% | |
0.011317 | -13.83% | |
0.0003916 | -11.30% | |
0.5151 | -7.00% | |
0.0443 | -7.52% | |
0.000002357 | 4.71% | |
0.05513 | -5.97% | |
1.897 | -6.23% | |
0.000095 | -14.41% | |
0.6860 | -2.86% | |
0.01851 | -10.67% | |
0.00182 | -49.86% | |
0.60265 | -7.63% | |
0.00000747 | -9.89% | |
0.000303 | -7.06% | |
0.2573 | -8.40% | |
0.01192 | -0.08% | |
18.52 | -4.04% | |
0.00002823 | -7.29% | |
0.0000000907 | -13.29% | |
0.1982 | -7.81% | |
0.85391 | -0.01% | |
0.2581 | -0.46% | |
0.0042 | 0.00% | |
0.1779 | -3.00% | |
0.01449 | -1.90% | |
0.00000001219 | -6.23% | |
0.000847 | -17.69% | |
0.5482 | -9.18% | |
0.002879 | -0.35% | |
0.003599 | -7.05% | |
0.00848 | -14.69% | |
0.861 | -6.82% | |
0.03745 | -3.43% | |
0.03766 | -16.44% | |
0.0004869 | -7.89% | |
0.000757 | -7.34% | |
0.0858 | -9.40% | |
155.07 | -8.17% | |
0.02804 | -10.24% | |
0.3681 | -5.06% | |
0.002337 | -15.26% | |
0.001742 | -6.09% | |
0.01962 | 4.75% | |
0.002452 | -7.33% | |
0.1154 | -6.10% | |
0.013000 | 4.84% | |
0.000200 | -7.83% | |
0.001881 | -26.81% | |
7.04 | -6.13% | |
0.6811 | -9.37% | |
0.3413 | -9.88% | |
0.04237 | 5.24% | |
0.00000000009693 | -7.82% | |
0.00876 | -1.35% | |
0.0000020 | -4.76% | |
0.005185 | -0.48% | |
0.0361 | -9.98% | |
0.1379 | -8.80% | |
0.2844 | -4.69% | |
0.0000578 | -4.46% | |
0.000918 | -31.59% | |
0.0236 | 1.29% | |
0.338 | -7.90% | |
21.74 | -10.65% | |
0.000000000001803 | 0.17% | |
0.0962 | -11.25% | |
0.12241 | -10.63% | |
0.0029 | -3.33% | |
0.0100 | -13.79% | |
2.7591 | -8.85% | |
0.6947 | -4.93% | |
0.0002635 | -8.51% | |
0.004330 | -12.19% | |
0.5806 | 0.10% | |
0.0524 | -6.76% | |
0.02055 | -7.22% | |
1.803 | -20.08% | |
0.004599 | 35.74% | |
2.179 | -2.24% | |
6.3706 | -4.03% | |
0.0000000639 | -2.89% | |
0.637 | -8.21% | |
0.254 | -9.61% | |
0.002754 | -5.26% | |
0.05552 | -5.77% | |
0.0000000001950 | -8.32% | |
0.005916 | -5.12% | |
0.06063 | -3.72% | |
0.000537 | -11.09% | |
0.0000002687 | -10.22% | |
0.5027 | -3.01% | |
72.81 | -11.10% | |
0.07130 | -22.54% | |
0.011991 | -0.03% | |
0.03436 | -13.23% | |
0.001894 | -9.55% | |
0.00011269 | 6.21% | |
0.000352 | -9.04% | |
2.054 | -7.93% | |
0.0000480 | -5.14% | |
0.0504 | -11.27% | |
0.00081 | -32.50% | |
3274.96 | 7.27% | |
0.0799 | 109.16% | |
0.002571 | -1.53% | |
0.00656 | -5.61% | |
0.018952 | -5.07% | |
0.0317 | -7.31% | |
0.00009392 | -7.99% | |
0.0316 | -11.98% | |
6.0920 | -8.68% | |
0.1150 | 5.89% | |
16.81 | -6.97% | |
0.586 | -6.24% | |
0.0666 | -11.90% | |
0.00000001322 | 1.77% | |
0.001857 | -28.85% | |
0.00004509 | -11.74% | |
0.1305 | -8.68% | |
0.603 | -10.13% | |
0.00000423 | -3.86% | |
0.002656 | 14.09% | |
0.01250 | -22.84% | |
0.0776 | -4.79% | |
0.001003 | -3.74% | |
0.0646 | -3.29% | |
0.02545 | -0.35% | |
0.04840 | -11.05% | |
0.00092 | -8.91% | |
0.1501 | -7.23% | |
0.2611 | -7.25% | |
0.0095 | -5.94% | |
0.0140 | 26.13% | |
0.7620 | -0.04% | |
0.2233 | -15.89% | |
0.000000094 | -5.05% | |
0.000826 | -13.96% | |
0.00146 | -2.01% | |
17.18 | -5.50% | |
0.5759 | -11.24% | |
0.05421 | -7.60% | |
0.2859 | -8.10% | |
0.0000193 | -17.87% | |
0.00999 | -8.01% | |
0.0954 | 9.66% | |
0.0003220 | 0.00% | |
0.001178 | -6.80% | |
0.0002031 | 32.57% | |
0.00000028980 | 272.35% | |
0.0646 | -7.05% | |
0.2675 | -6.53% | |
0.7129 | -6.86% | |
0.011429 | -8.35% | |
0.001085 | -9.51% | |
0.04871 | -8.47% | |
0.003637 | -7.03% | |
0.005903 | -7.74% | |
23.128 | -2.44% | |
0.001650 | -10.13% | |
0.000954 | -16.17% | |
0.04253 | -2.90% | |
0.003058 | -13.05% | |
0.0000091 | 9.64% | |
0.000001595 | -1.48% | |
0.00234 | -11.36% | |
2.707 | -8.45% | |
0.0051057 | 0.12% | |
0.05397 | -11.00% | |
0.004974 | -2.64% | |
0.001731 | -6.03% | |
0.003229 | -15.91% | |
0.01587 | -11.59% | |
0.000276 | 6.15% | |
0.002700 | -6.44% | |
0.587 | -10.24% | |
0.0139 | -16.77% | |
0.00002086 | -8.31% | |
0.002962 | -20.31% | |
0.01704 | -7.24% | |
0.00841 | -19.37% | |
0.000000000689 | 2.99% | |
16.99 | -9.58% | |
0.002274 | -12.64% | |
0.000175 | -6.91% | |
0.1446 | -1.57% | |
0.26046 | -3.62% | |
0.0926 | -10.18% | |
0.003711 | -1.59% | |
0.01508 | -10.34% | |
0.000828 | -0.96% | |
0.0006207 | -8.26% | |
0.5235 | 0.19% | |
0.02381 | -4.15% | |
0.00013956 | -17.63% | |
0.0009 | 0.00% | |
0.005419 | -12.72% | |
0.0249 | -8.46% | |
0.3866 | -7.09% | |
0.2029 | -5.93% | |
0.1909 | -0.62% | |
3.179 | -7.40% | |
0.0023 | -8.00% | |
0.0052 | -14.75% | |
0.0000504 | 1.41% | |
0.00208 | -5.45% | |
0.01626 | -0.73% | |
0.000203037 | -3.22% | |
0.0006355 | -11.55% | |
0.0409 | -4.66% | |
0.01869 | -5.99% | |
0.0006130 | -7.22% | |
0.1332 | -8.58% | |
0.8335 | -1.76% | |
0.0000000759 | -5.24% | |
0.0462 | -7.23% | |
0.2618 | -22.68% | |
0.001001 | -5.03% | |
0.740 | -5.73% | |
0.0173 | -12.18% | |
0.438 | -11.69% | |
0.3612 | -7.69% | |
0.719 | -9.22% | |
0.0004234 | -0.52% | |
0.000098 | 3.16% | |
0.0000700 | 1.30% | |
1.145 | -8.76% | |
0.0344 | -8.02% | |
0.632 | -8.93% | |
0.1865 | -5.95% | |
0.00002389 | -5.01% | |
0.01643 | -10.37% | |
0.00275 | 14.58% | |
0.6999 | 1.88% | |
8.53 | -5.12% | |
0.000091 | 1.11% | |
0.00000000000098 | 8.89% | |
0.0183 | 0.55% | |
0.0099 | 1.02% | |
0.0007430 | -21.77% | |
0.003220 | -6.15% | |
0.972 | -6.36% | |
0.1080 | -2.96% | |
0.0322 | -10.31% | |
0.2161 | -4.34% | |
0.0004029 | -7.36% | |
0.003987 | -5.16% | |
0.0825 | -7.51% | |
0.00754 | -13.23% | |
7.26 | -10.37% | |
1.050 | -4.63% | |
0.00000000140 | 35.92% | |
0.5018 | -4.87% | |
1.5350 | -7.42% | |
1.552 | -6.95% | |
0.0000000155 | -12.92% | |
0.0630 | -6.25% | |
0.00607 | -1.62% | |
0.01350 | -13.07% | |
0.0570 | 1.79% | |
0.001843 | -14.36% | |
17.01 | -7.10% | |
0.000001537 | -6.68% | |
0.000000000418 | -0.48% | |
1.273 | -10.29% | |
0.3004 | -6.88% | |
0.0006828 | -9.54% | |
0.05016 | -0.28% | |
0.002475 | 0.08% | |
0.1256 | -10.73% | |
0.0600 | 2.04% | |
0.0000224 | -77.56% | |
0.0454 | -10.63% | |
0.00000003459 | -8.49% | |
0.0000086 | 2.38% | |
0.1188 | -9.17% | |
13.37 | -8.17% | |
0.1387 | -9.23% | |
0.00196 | -10.91% | |
0.000024 | 14.29% | |
0.001401 | -10.19% | |
1.4235 | -7.34% | |
0.689 | -5.75% | |
72.7 | -5.71% | |
0.002891 | -0.55% | |
0.0945 | -9.22% | |
0.0106 | -10.17% | |
0.1028 | -7.89% | |
0.0003691 | -31.76% | |
0.0112 | 0.00% | |
0.02872 | 8.21% | |
0.07173 | -8.73% | |
0.0006066 | -6.17% | |
0.003963 | -0.35% | |
0.00000015670 | -55.23% | |
0.000042 | 2.44% | |
0.1276 | -3.92% | |
0.1195 | -7.22% | |
0.0001598 | 3.56% | |
0.0096 | -12.73% | |
0.006832 | -2.75% | |
0.004077 | -4.52% | |
0.0640 | -8.70% | |
0.003578 | -0.58% | |
1.287 | -4.45% | |
0.0000000000000147 | -6.96% | |
0.01680 | -10.64% | |
0.000000514 | -1.34% | |
0.00000721 | 0.98% | |
1.397 | -8.99% | |
0.1064 | -7.80% | |
0.0843 | -6.95% | |
0.0859 | -9.00% | |
0.476 | -11.69% | |
0.0000002201 | 1.24% | |
0.02935 | -6.38% | |
0.004659 | 0.30% | |
0.00000831 | -10.26% | |
0.004025 | 0.00% | |
0.0544 | -7.48% | |
0.000000002136 | 2.35% | |
0.0000046 | 64.29% | |
0.10111 | -10.91% | |
0.0004234 | -5.41% | |
0.003248 | 3.34% | |
0.003014 | 2.76% | |
0.000000000069 | 130.00% | |
0.0003252 | -15.55% | |
0.01274 | -10.16% | |
0.0555 | -1.77% | |
0.00860 | -3.37% | |
0.00002 | -33.33% | |
0.0003905 | -6.24% | |
0.000000000003901 | 1.54% | |
0.0021519 | -3.77% | |
0.01082 | -5.17% | |
0.000665 | -9.77% | |
0.9089 | -3.15% | |
0.2652 | -7.72% | |
0.750 | 0.00% | |
0.02021 | -10.06% | |
0.07876 | -2.09% | |
0.00000000000212 | 0.00% | |
0.1212 | -6.77% | |
0.006700 | -4.29% | |
0.000704 | 36.96% | |
0.02972 | -19.26% | |
0.2088 | -5.43% | |
0.3520 | -7.25% | |
0.004000 | -33.33% | |
0.00821 | -7.75% | |
0.0791 | -3.42% | |
0.0927 | -9.82% | |
0.0831 | -12.98% | |
0.00000000000014 | 0.00% | |
0.00000000000018 | -14.29% | |
0.001981 | -3.74% | |
0.0080 | -10.11% | |
0.000427 | 0.00% | |
0.000012 | 33.33% | |
0.0781 | -10.23% | |
0.0000503 | -39.40% | |
0.003625 | -6.45% | |
0.000602 | -39.56% | |
0.00993 | -5.43% | |
0.1742 | -10.02% | |
0.1090 | -3.54% | |
0.2016 | -6.58% | |
0.01311 | -11.36% | |
0.000060 | -13.04% | |
5.983 | -8.01% | |
0.000350 | 0.57% | |
0.00003075 | -24.80% | |
0.1565 | -8.53% | |
0.00385 | 1.32% | |
0.00000000001556 | -6.60% | |
0.5400 | -3.90% | |
0.01214 | -8.38% | |
0.0000625 | -8.76% | |
0.1719 | -9.91% | |
0.0648 | -19.80% | |
0.0000099 | 32.00% | |
0.1378 | -5.42% | |
0.4160 | -9.68% | |
0.001120 | -3.45% | |
0.00000377 | -5.99% | |
0.01185 | -8.56% | |
0.0000005 | -50.00% | |
0.03596 | -8.43% | |
0.01378 | -6.13% | |
0.004412 | -14.89% | |
0.000000000005 | 25.00% | |
0.004175 | -2.95% | |
0.0000119 | 0.00% | |
0.4820 | 0.00% | |
31.0000 | 24.00% | |
2.172 | -5.15% | |
0.00004544 | -11.15% | |
0.002000 | -0.65% | |
0.00731 | 0.83% | |
0.000815 | -17.84% | |
0.008304 | 3.80% | |
0.0098 | -1.01% | |
0.0707 | -9.24% | |
1.358 | -10.60% | |
0.003642 | -17.43% | |
0.000121 | -52.92% | |
0.016895 | -6.44% | |
0.00008 | -11.11% | |
0.00008969 | -0.31% | |
0.001081 | -7.69% | |
0.2081 | 0.19% | |
0.002293 | -6.83% | |
0.000024 | -7.69% | |
0.000002400 | -25.47% | |
0.008234 | 0.04% | |
0.00004 | 0.00% | |
0.001017 | -10.79% | |
0.001934 | -18.81% | |
0.00023 | -14.81% | |
0.05804 | 0.00% | |
19.0012 | -1.27% | |
0.00170 | -22.73% | |
0.02932 | -2.56% | |
0.0003 | -40.00% | |
0.401 | -5.65% | |
0.00000011 | 0.00% | |
1.312 | -7.48% | |
0.000000000106 | -4.50% | |
0.2183 | -2.24% | |
0.00000299 | -5.08% | |
0.000037 | -35.09% | |
0.000000001752 | -4.37% | |
0.00011 | 0.00% | |
0.00005 | 66.67% | |
49.028 | -2.40% | |
14.12 | -7.59% | |
0.01197 | -7.21% | |
0.0000007 | -30.00% | |
0.000059 | 5.36% | |
0.00035 | 0.00% | |
0.001320 | -14.67% | |
0.1874 | -10.93% | |
0.2334 | -11.52% | |
0.4712 | -6.84% | |
0.0539 | -11.64% | |
0.001256 | -13.62% | |
0.02626 | -7.47% | |
0.000020 | -9.09% | |
0.000002051 | -26.65% | |
0.0000211 | -29.90% | |
0.00000055 | 3.77% | |
2.284 | -4.52% | |
0.0005676 | -8.54% | |
0.0444 | -7.50% | |
0.000558 | 15.77% | |
0.0001702 | 21.40% | |
8.9431 | -0.02% | |
0.004209 | -3.49% | |
0.0557 | -5.91% | |
0.000007 | 40.00% | |
0.000000000017 | 13.33% | |
0.0414 | -5.91% | |
0.02975 | -13.11% | |
0.00456 | -1.08% | |
0.00000000015708 | -28.36% | |
0.000026 | -13.33% | |
0.003094 | -10.45% | |
0.00000000000039 | 2.63% | |
0.0000000482 | -4.74% | |
0.01849 | -9.80% | |
0.002336 | -9.95% | |
0.0000000030210 | 0.02% | |
0.00006 | 20.00% | |
0.002563 | 0.00% | |
0.00000000000285 | -1.04% | |
0.000092 | 0.00% | |
0.0000442 | 0.00% | |
0.0000100 | 0.00% | |
0.0116 | 2.65% | |
0.002499 | -11.23% | |
0.03786 | 1.09% | |
0.00000000000102 | -10.53% | |
0.7993 | -3.63% | |
0.000100 | -50.25% | |
0.1402 | -4.30% | |
2.772 | -8.39% | |
0.002545 | -9.91% | |
0.00000000001605 | -0.06% | |
2.45 | -5.77% | |
0.00000000003568 | -2.00% | |
0.001985 | -0.60% | |
0.1603 | -7.61% | |
0.00000000001177 | 9.49% | |
0.00000000001935 | -35.71% | |
0.00022 | -12.00% | |
0.0000000000000171 | 0.00% | |
0.0729 | -11.31% | |
0.03430 | -0.72% | |
0.00000000000377 | -10.24% | |
0.00006 | -14.29% | |
0.000119 | 9.17% | |
0.000000002420 | -0.08% | |
3.05 | -10.29% | |
0.0027 | 0.00% | |
0.001171 | -21.93% | |
0.0000000045 | 15.38% | |
0.0014 | 0.00% | |
0.0107 | 48.61% | |
0.000000039 | -7.14% | |
0.0003 | 0.00% | |
0.000632 | 1.94% | |
0.0000055 | -9.84% | |
0.0000045 | 18.42% | |
0.00004398 | 29.39% | |
0.1962 | -7.63% | |
1.1722 | -9.07% | |
0.01581 | -6.23% | |
0.09771 | -8.24% | |
0.1310 | -4.66% | |
0.00767 | -4.24% | |
0.03310 | -10.90% | |
0.00013 | 0.00% | |
0.0000651 | 0.31% | |
0.002013 | -3.31% | |
0.2313 | -13.57% | |
58.5600 | 0.00% | |
0.0001450 | -5.91% | |
0.001634 | -6.09% | |
0.0005112 | -9.43% | |
0.0880 | -10.75% | |
0.003769 | -15.80% | |
0.0009012 | 0.00% | |
0.00600 | 0.00% | |
0.0007993 | 0.00% | |
6.176 | 1.31% | |
0.0000329 | 0.00% | |
0.04806 | -5.62% | |
0.2301 | 4.54% | |
0.0000670 | -0.74% | |
0.000025 | 0.00% | |
0.0012 | 0.00% | |
1899.00 | 0.00% | |
0.1057 | -16.97% | |
0.1383 | -11.23% | |
0.786 | -13.72% | |
0.001092 | -9.38% | |
0.5610 | -8.68% | |
0.001235 | -7.42% | |
0.02899 | -2.72% | |
0.00381 | -7.75% | |
0.0349 | -11.20% | |
0.00992 | -9.82% | |
2.5129 | 0.00% | |
1.000000 | 0.00% | |
0.1811 | -5.63% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.000000000000815 | -10.04% | |
1.824 | -3.49% | |
0.0532 | -6.34% | |
2.984 | -5.06% | |
0.000000100 | 0.00% | |
0.0001030 | 0.00% | |
0.1411 | -8.61% | |
0.00546 | -0.73% | |
0.00103 | 0.00% | |
0.657 | -10.73% | |
0.6767 | -3.60% | |
0.0700 | 0.00% | |
0.0846 | -7.74% | |
0.001147 | -0.26% | |
0.00000091 | 1.11% | |
0.1386 | -8.76% | |
0.01945 | 5.02% | |
0.000216 | 0.00% | |
0.00000000000651 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
1.1371 | 0.00% | |
0.000079 | -1.25% | |
0.4424 | 0.00% | |
0.000394 | 0.51% | |
0.0071 | 0.00% | |
0.01622 | -3.62% | |
0.000210 | 0.00% | |
0.0716 | -7.49% | |
0.1038 | -7.16% | |
0.0248 | -7.12% | |
0.0441 | -5.57% | |
0.2982 | -10.42% | |
0.000452 | 0.00% | |
0.0272 | 0.00% | |
0.230000 | 0.00% | |
0.000188809 | -0.20% | |
0.00000042 | 0.00% | |
0.1204 | 0.00% | |
2.619 | -1.73% | |
0.000300 | 0.00% | |
0.00007 | 0.00% | |
0.00035 | 0.00% | |
0.0005 | 0.00% | |
0.00033 | 0.00% | |
0.011926 | 0.00% | |
0.000011 | 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% | |
0.00030000 | 0.00% | |
0.00005 | 0.00% | |
0.00006187 | 0.00% | |
0.000122 | 0.00% | |
0.001405 | 0.00% | |
0.2464 | -0.04% | |
0.000902 | 0.00% | |
0.0238 | -0.83% | |
0.000000000770 | 2.53% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00009300 | 0.00% | |
0.000452 | 0.89% | |
0.00000000053 | -5.36% | |
9.796 | 0.47% | |
0.000000000533 | 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% | |
0.00001626 | 0.00% | |
0.000000000375 | 0.00% | |
0.000000008400 | 0.00% | |
0.0063 | -3.08% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.9900 | 0.00% | |
0.0057 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.001290 | 0.00% | |
0.00000011 | 0.00% | |
0.0000006650 | 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% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.00001 | 0.00% | |
0.000118 | 0.00% | |
0.0010 | 0.00% | |
0.0000242 | 0.83% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.00005458 | 0.00% | |
0.00280 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0001000 | 0.00% | |
0.05056 | 0.00% | |
1.3575 | 0.00% | |
0.00136 | 0.00% | |
0.00007 | 0.00% | |
0.000028 | 0.00% | |
0.000033 | 0.00% | |
0.001234 | 0.00% | |
0.000449 | 0.00% | |
0.0066 | 0.00% | |
0.0007 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.0066 | 0.00% | |
0.020562 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.000808 | 0.00% | |
0.001200 | 0.00% | |
0.001050 | 0.00% | |
0.000650 | 0.00% | |
0.000383 | 0.00% | |
0.00006107 | 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% | |
0.001790 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.001801 | 0.00% | |
0.000640 | 0.00% | |
0.0200 | 0.00% | |
0.0093 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.0071 | -1.39% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
0.0013 | 0.00% | |
0.1078 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.000410 | 0.00% | |
0.001650 | 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% | |
2.2915 | 0.00% | |
0.0000000209 | 2.45% | |
0.0005 | 0.00% | |
0.000257 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.020099 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.0060 | 0.00% | |
0.0700 | 0.00% | |
8.4900 | 0.00% | |
1.76670591 | 0.00% | |
0.0024 | 0.00% | |
0.0048 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.0001 | 0.00% | |
0.6700 | 0.00% | |
0.000835 | 0.00% | |
0.0102 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.00296 | 0.00% | |
0.0650 | 0.00% | |
0.3515 | 0.00% | |
0.00125 | 0.00% | |
0.000446 | 0.00% | |
0.4900 | 0.00% | |
0.000062 | 0.00% | |
1.0100 | 0.00% | |
0.5000 | 0.00% | |
0.010100 | 0.00% | |
0.0069 | 0.00% | |
0.88686 | 0.00% | |
0.00077 | 0.00% | |
0.00113 | 0.00% | |
0.04024 | 0.00% | |
0.05578 | 0.00% | |
1.1760 | 0.00% | |
0.000561 | 0.00% | |
0.00774 | 0.00% | |
0.1725 | 0.00% | |
0.01463 | 0.00% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.000001624 | 0.00% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
100.71 | 0.00% | |
0.0000008 | 0.00% | |
1.3151 | -0.29% | |
0.00390 | 0.00% | |
0.0000310 | 0.00% | |
0.0000325 | 0.00% | |
0.00000326 | 0.00% | |
1.0000 | 0.00% | |
0.00455 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.0005 | 0.00% | |
0.00146 | 0.00% | |
0.00032 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.0000023 | 0.00% | |
0.000000005 | 0.00% | |
0.001987 | 0.00% | |
0.00083 | 0.00% | |
0.000313 | 0.00% | |
0.0000029 | 0.00% | |
0.0007000 | 0.00% | |
0.00011 | 0.00% | |
0.00200 | 0.00% | |
0.0032 | 0.00% | |
0.3905 | 0.00% | |
0.000495 | 0.00% | |
0.00049 | 0.00% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00017800 | 0.00% | |
0.0000290 | -14.45% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000000000009 | 0.00% | |
0.000700 | 0.00% | |
0.01030 | 0.00% | |
0.00240 | 0.00% | |
0.00070 | 0.00% | |
0.003000 | 0.00% | |
0.000310 | 0.00% | |
450.00 | 0.00% | |
0.0000269 | 0.00% | |
0.0000138 | 0.00% | |
0.0000000500 | 0.00% | |
0.0000001300 | 0.00% | |
0.000600 | 0.00% | |
0.7997 | 0.00% | |
0.000000000129 | 0.00% | |
0.000426832 | 0.00% | |
0.00002805 | 0.00% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.00647 | 0.15% | |
0.0000245 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.000510 | 0.00% | |
0.00218 | 0.00% | |
0.002100 | 0.00% | |
0.000055 | 0.00% | |
0.3101 | 0.00% | |
0.00756 | 0.00% | |
0.4400 | 0.00% | |
1.4371 | 0.00% | |
0.0002201 | 0.00% | |
0.000193 | -1.53% | |
0.0000266 | 0.00% | |
0.00625 | 0.00% | |
0.0000002725 | 0.00% | |
0.250 | 0.00% | |
0.3534 | -8.37% | |
0.804 | -2.90% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.01318 | 0.00% | |
0.000000000754 | -0.13% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02731 | -7.55% | |
0.4354 | -1.67% | |
0.327 | -10.90% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
1.390 | -7.58% | |
0.0091 | 0.00% | |
0.528 | 1.93% |