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 .
Faharasa Maarufu
Masomo Yanayohusiana
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0.000120 | 0.00% | |
0.004688 | 4.25% | |
8.97 | 2.16% | |
0.00228 | 0.00% | |
0.1810 | 9.23% | |
0.007538 | -2.22% | |
7.2534 | 5.61% | |
0.002894 | 0.98% | |
0.0000000001610 | -12.88% | |
0.4069 | -0.27% | |
1379 | 4.15% | |
0.036586 | -10.74% | |
0.005873 | -1.49% | |
0.00278 | 0.00% | |
0.029847 | -1.69% | |
2.6824 | -1.60% | |
0.1600 | -5.88% | |
0.00460 | 0.00% | |
0.02812 | -1.71% | |
0.0004787 | 34.13% | |
0.005251 | -6.32% | |
0.000804 | 11.98% | |
0.01788 | 1.71% | |
0.00006004 | 0.32% | |
1.8622 | 7.26% | |
4.671 | -4.46% | |
0.00891 | -1.66% | |
0.000000001275 | 0.00% | |
0.00900 | 1.35% | |
0.002477 | -26.35% | |
0.5943 | 2.24% | |
0.01025 | -8.40% | |
0.001867 | -17.39% | |
0.0898 | 1.81% | |
0.000851 | -0.47% | |
0.001941 | -0.97% | |
0.000173 | -8.47% | |
0.08787 | -2.26% | |
0.001541 | -17.73% | |
0.0004299 | -18.46% | |
0.001176 | -26.87% | |
0.00790 | -2.59% | |
0.004899 | -1.98% | |
0.3081 | -0.84% | |
0.00541 | 14.38% | |
0.10360 | 4.51% | |
0.004223 | 6.19% | |
0.002225 | -25.49% | |
0.00000872 | 19.94% | |
0.3600 | 0.76% | |
0.00489 | 2.95% | |
309.2 | 1.44% | |
0.00834 | -1.77% | |
0.897 | 2.87% | |
0.0001893 | -4.59% | |
0.755 | 1.75% | |
0.0000283 | 10.12% | |
0.000388 | 1.84% | |
6.2957 | 1.70% | |
0.7233 | 2.55% | |
0.002678 | -3.01% | |
0.03683 | 2.45% | |
0.008252 | 2.17% | |
0.000305 | 4.45% | |
0.01860 | 7.89% | |
0.0000240 | 0.00% | |
0.04185 | 1.31% | |
0.65894 | 15.31% | |
0.0030070 | 1.53% | |
0.01468 | -0.14% | |
13.599 | -24.77% | |
0.000719 | -0.28% | |
0.6483 | 2.34% | |
0.1827 | -1.03% | |
0.001390 | -10.90% | |
0.0002067 | -8.94% | |
0.007374 | 15.20% | |
0.02359 | -3.36% | |
0.004046 | -6.88% | |
0.064909 | 2.38% | |
13.32 | 1.45% | |
2.154 | -2.89% | |
2027.34 | 4.55% | |
0.2948 | 8.14% | |
0.2070 | -0.24% | |
59.65 | 3.34% | |
0.0616 | 3.53% | |
26.33 | -1.42% | |
0.00007817 | 19.20% | |
0.00789 | -12.33% | |
0.012712 | -2.78% | |
0.01074 | 25.03% | |
30.9000 | -0.32% | |
0.00204 | 9.68% | |
0.1037 | -0.86% | |
4.380 | -0.39% | |
0.0039 | -2.50% | |
0.0662 | 0.00% | |
0.0113 | -5.83% | |
144.81 | 2.56% | |
0.000676 | -10.11% | |
0.00406 | 0.74% | |
0.000580 | -3.33% | |
0.001011 | -22.71% | |
0.001591 | 34.26% | |
0.1140 | -25.00% | |
0.003036 | 2.81% | |
19.44 | -3.28% | |
0.001475 | 34.46% | |
0.01791 | 1.02% | |
0.000040 | 33.33% | |
0.01067 | 1.72% | |
0.5662 | -1.48% | |
0.00012983 | -5.92% | |
2.804 | 0.65% | |
1.2449 | 2.17% | |
0.01248 | 0.32% | |
0.0239 | -5.16% | |
0.00000006327 | -1.65% | |
0.0001931 | -13.79% | |
0.00004930 | 8.78% | |
0.0000171 | 13.25% | |
0.1571 | -1.19% | |
0.0112 | 0.90% | |
0.04487 | 0.16% | |
0.00004099 | 7.50% | |
1.1075998 | -1.27% | |
0.0715 | -2.05% | |
0.00113 | -88.70% | |
0.602 | 1.35% | |
0.0060 | -3.23% | |
0.002255 | -27.72% | |
0.04634 | 8.27% | |
1.511 | 11.68% | |
0.01040 | -1.33% | |
0.3259 | -3.49% | |
5.52 | 6.15% | |
0.003699 | 16.91% | |
0.001798 | 2.33% | |
0.0480 | 1.05% | |
0.02917 | -29.39% | |
0.83532 | 0.45% | |
0.000356 | 0.28% | |
0.01015 | -0.10% | |
16.0379 | -6.14% | |
0.00513 | -6.73% | |
0.002936 | 5.95% | |
0.0000000370 | -2.12% | |
0.002116 | -1.58% | |
0.006447 | 3.07% | |
3.717 | 8.27% | |
9.5012 | -5.01% | |
0.0000439 | 0.23% | |
6.92 | 2.37% | |
0.0089 | 2.30% | |
0.0211 | -0.47% | |
8.12 | -2.99% | |
0.000206 | -2.37% | |
0.06797 | 2.07% | |
0.00000606 | -4.11% | |
15.05 | -6.00% | |
0.0000000657 | -13.78% | |
0.0000768 | -22.66% | |
0.01462 | -11.07% | |
0.00232 | -1.69% | |
0.01105 | 3.46% | |
0.00001597 | -5.05% | |
0.06689 | -0.01% | |
0.387 | 1.84% | |
0.00516 | -1.53% | |
0.0251 | -3.46% | |
0.01530 | -10.26% | |
0.0019803 | 10.84% | |
0.00003955 | -3.56% | |
0.02538 | 4.79% | |
1.3248 | 13.73% | |
11.29 | 2.45% | |
0.003928 | -0.61% | |
0.001907 | 13.11% | |
0.0111 | 4.72% | |
0.0000000808 | 7.88% | |
0.0621 | 5.43% | |
0.00000405 | 1.00% | |
0.02337 | 3.96% | |
0.476 | 0.42% | |
0.01358 | 4.22% | |
0.002254 | 0.99% | |
0.1085 | 163.35% | |
0.1190 | -1.41% | |
0.00925 | 1.43% | |
0.01458 | 1.32% | |
0.7672 | -2.18% | |
0.010985 | -8.45% | |
0.0000531 | -4.67% | |
0.0006585 | 1.39% | |
0.004295 | 44.52% | |
0.003840 | -1.54% | |
22.830 | 1.56% | |
0.000000001758 | 2.51% | |
0.0000491 | -11.69% | |
16.87 | 0.00% | |
0.0003313 | -16.78% | |
0.03229 | -3.98% | |
0.000834 | -0.12% | |
0.4537 | 3.47% | |
0.00003 | 0.00% | |
0.00018 | -10.00% | |
0.0546 | -5.86% | |
0.02008 | 38.10% | |
5.46 | 0.18% | |
0.1200 | 7.53% | |
0.0532 | 0.00% | |
0.05947 | -2.64% | |
0.000142 | -21.55% | |
0.216 | -4.85% | |
0.440 | -3.08% | |
0.0000000187 | 46.09% | |
1.540 | 2.26% | |
0.0009251 | -7.49% | |
0.000770 | -5.29% | |
0.2486 | 4.06% | |
0.05935 | -1.28% | |
0.002522 | -7.07% | |
0.3822 | -11.94% | |
0.000192770 | -1.58% | |
0.0543 | 2.65% | |
0.1297 | -0.92% | |
0.0807 | 0.88% | |
0.003944 | 3.41% | |
0.00000001334 | 0.45% | |
6.28 | -1.10% | |
0.012600 | 3.62% | |
0.01360 | -0.58% | |
0.0283 | -1.05% | |
0.00000027397 | -0.01% | |
0.0000084 | -6.67% | |
0.004161 | -1.98% | |
0.02926 | -0.65% | |
0.510 | -0.20% | |
0.0002817 | 3.57% | |
0.00334631 | 6.64% | |
5.410 | 1.79% | |
0.1728 | 2.07% | |
0.0004386 | 8.43% | |
0.001953 | 0.36% | |
0.001276 | -4.35% | |
0.000345 | -3.09% | |
0.000820 | -2.96% | |
0.0962 | 1.58% | |
0.0791 | -4.70% | |
0.00000000008325 | 1.77% | |
0.02127 | -8.04% | |
0.01121 | -2.27% | |
0.0004228 | 4.50% | |
0.1802 | 4.28% | |
0.012884 | -11.74% | |
0.00408 | -0.24% | |
0.4023 | -3.92% | |
0.003280 | -1.38% | |
0.00692 | -2.12% | |
0.1652 | 0.98% | |
0.000912 | -5.00% | |
0.00574 | 3.05% | |
0.02847 | -9.33% | |
0.000497 | 5.30% | |
0.01517 | 15.71% | |
0.00000013263 | 1.99% | |
0.011040 | -1.05% | |
0.00000001166 | 1.92% | |
0.0033 | -35.29% | |
0.286 | -5.30% | |
0.01442 | 11.87% | |
0.0051038 | -0.08% | |
0.002900 | 0.00% | |
0.01748 | -8.10% | |
0.02602 | -0.04% | |
0.524 | -0.38% | |
0.003756 | -9.84% | |
0.000277 | 15.42% | |
0.006004 | 0.99% | |
0.0861 | 15.26% | |
0.0629 | 0.00% | |
2.964 | 1.09% | |
0.003100 | 1.37% | |
0.0813 | -10.17% | |
0.1018 | 0.49% | |
0.0557 | 0.54% | |
0.000067 | 21.82% | |
0.000274 | 4.58% | |
0.00233 | 0.00% | |
15.98 | 1.01% | |
0.000001531 | 5.51% | |
0.001024 | 0.49% | |
0.000944 | 9.51% | |
0.0000087 | 6.10% | |
16.89 | 14.82% | |
0.03121 | -5.51% | |
0.000781 | -6.58% | |
0.000479 | -9.11% | |
0.003395 | 16.47% | |
0.0140 | -11.39% | |
0.002146 | 23.62% | |
0.0805 | -1.83% | |
0.01465 | -1.74% | |
0.17854 | -13.35% | |
0.767 | 0.52% | |
0.001166 | 4.20% | |
0.01461 | 1.04% | |
0.0004784 | -5.38% | |
0.04811 | -3.72% | |
0.001441 | 10.59% | |
0.0001790 | -5.09% | |
0.05982 | 3.07% | |
0.0002544 | -0.04% | |
0.0000046 | 17.95% | |
0.001530 | 0.26% | |
0.0051 | 4.08% | |
9.724 | 1.97% | |
0.00000001540 | 7.17% | |
0.0000019 | -9.52% | |
0.1026 | 1.89% | |
0.1963 | -1.55% | |
0.5455 | 0.18% | |
0.000000466 | 5.43% | |
0.03838 | 6.70% | |
0.1367 | -4.07% | |
0.01108 | -0.36% | |
0.0583 | -3.32% | |
0.0069 | 1.47% | |
0.00897 | 9.79% | |
0.00000285 | -0.35% | |
0.361 | -11.08% | |
0.002499 | -2.76% | |
0.0000635 | 12.79% | |
0.0025 | -13.79% | |
0.006902 | -6.72% | |
0.2363 | -1.34% | |
0.0092 | -2.13% | |
0.0480 | -5.33% | |
0.2882 | -5.17% | |
1.0229 | -1.18% | |
0.000090 | 9.76% | |
0.0509 | -0.39% | |
16.30 | 2.39% | |
0.0812 | -1.58% | |
0.00000017709 | 9.31% | |
0.0098 | -1.01% | |
0.000635 | 41.11% | |
0.000878 | 4.03% | |
0.002790 | -2.07% | |
0.1019 | -3.69% | |
0.000000104 | 11.83% | |
0.1080 | 7.25% | |
1.792 | 4.98% | |
0.0761 | 1.47% | |
0.01354 | 9.55% | |
0.000095 | -3.06% | |
0.0598 | -4.63% | |
0.004721 | 0.28% | |
0.4923 | -4.91% | |
0.0437 | 3.55% | |
0.004607 | 6.79% | |
0.4169 | 0.75% | |
0.306 | -0.33% | |
0.0003138 | -6.83% | |
0.0000000591 | 0.17% | |
0.002200 | 0.05% | |
0.0000000000000142 | 5.97% | |
0.1582 | 1.54% | |
0.1431 | 2.21% | |
0.2401 | 0.59% | |
0.001330 | -12.38% | |
0.00000000000409 | 18.21% | |
0.00002290 | 1.91% | |
0.002001 | -5.52% | |
0.00150 | 0.00% | |
0.0168 | 8.39% | |
0.1047 | 0.77% | |
0.01879 | -1.05% | |
0.0011 | -60.71% | |
0.00003576 | 39.20% | |
0.00955 | 6.23% | |
2.158 | 3.55% | |
0.00499 | 4.18% | |
0.024139 | -0.28% | |
13.39 | 2.21% | |
0.016543 | 13.81% | |
0.8134 | -3.37% | |
0.0000007 | 16.67% | |
0.008000 | 165.60% | |
0.0000000521 | 3.37% | |
0.3124 | 5.50% | |
0.00003112 | -1.89% | |
0.1126 | 9.85% | |
0.0172 | -0.58% | |
0.0000017020 | 4.21% | |
0.05325 | -1.81% | |
0.0304 | -7.60% | |
0.9139 | -2.23% | |
0.000090 | -2.17% | |
16.41 | 2.31% | |
0.00286 | 0.35% | |
0.000855 | -0.81% | |
0.1207 | -0.25% | |
0.7607 | -0.08% | |
0.00000003455 | -0.35% | |
0.02635 | -3.62% | |
0.000000002062 | 2.43% | |
0.00204 | 0.49% | |
0.000569 | -3.40% | |
0.000073 | 7.35% | |
0.001146 | 2.87% | |
0.00000000000200 | 16.96% | |
0.000893 | 1.13% | |
0.0632 | -4.10% | |
0.0289 | -3.67% | |
0.001501 | 31.55% | |
0.00000354 | 0.28% | |
0.1211 | -4.12% | |
0.373 | 49.80% | |
0.0005812 | -0.55% | |
1.3353 | -0.62% | |
0.0161 | -8.00% | |
0.001630 | -0.85% | |
0.000456 | 17.83% | |
0.659 | 0.92% | |
0.02233 | 10.11% | |
0.0410 | -1.20% | |
0.09107 | -0.43% | |
0.0090 | 0.00% | |
12.01 | -0.17% | |
0.000000000517 | -8.98% | |
0.1855 | -0.27% | |
0.356 | 18.27% | |
0.10289 | -1.13% | |
0.1037 | 0.78% | |
0.00165 | -2.37% | |
6.033 | 0.02% | |
0.0000002297 | 4.13% | |
0.0005656 | 4.57% | |
0.003802 | -0.08% | |
0.0000002556 | 2.24% | |
0.0745 | -1.84% | |
0.00000000001498 | 11.46% | |
0.725 | -1.49% | |
0.01146 | 0.79% | |
0.8561 | 0.47% | |
0.1079 | 3.85% | |
0.714 | 2.59% | |
0.003931 | -0.10% | |
0.2805 | -0.43% | |
0.000445 | 2.77% | |
0.001112 | 8.28% | |
0.000001822 | -2.88% | |
0.3102 | -10.58% | |
0.2093 | -0.29% | |
0.000016 | -27.27% | |
0.0075 | 2.74% | |
0.001606 | -2.37% | |
0.07469 | -17.19% | |
0.1202 | -1.48% | |
0.001100 | -1.08% | |
0.000351 | 0.29% | |
0.5208 | 2.48% | |
0.000001770 | 1.72% | |
0.1065 | -1.84% | |
0.00205 | -0.97% | |
0.0000641 | 25.20% | |
0.00008825 | -1.34% | |
0.1103 | -4.09% | |
0.7925 | -0.18% | |
0.00000000155 | -4.32% | |
0.008104 | -1.54% | |
0.2694 | -1.03% | |
0.662 | 1.53% | |
0.001470 | -3.54% | |
2.6714 | 1.80% | |
0.000000000003920 | -15.52% | |
0.000033 | -48.44% | |
0.0000564 | -0.18% | |
0.00796 | -0.25% | |
0.0408 | -0.73% | |
0.000000000525 | 17.45% | |
0.0000311 | 40.72% | |
1.364 | -0.94% | |
0.0000535 | 5.73% | |
1.186 | -5.72% | |
1.0294 | -0.65% | |
0.000000000228 | 0.88% | |
0.000000000751 | -5.06% | |
0.0994 | 1.33% | |
0.002030 | 0.10% | |
2.446 | 3.29% | |
0.0008 | -11.11% | |
0.00604 | -11.05% | |
0.001300 | -30.85% | |
0.0001713 | 2.70% | |
0.1952 | 3.89% | |
0.00000000000661 | -24.11% | |
0.00000000000977 | -4.96% | |
0.0775 | 1.31% | |
0.0292 | -1.02% | |
0.16990 | -0.26% | |
1.964 | 2.19% | |
0.0007932 | -0.89% | |
0.0224 | -0.88% | |
0.2080 | -1.42% | |
0.00000000000024 | 33.33% | |
0.000113 | 0.00% | |
0.00087 | -4.40% | |
0.1855 | -1.80% | |
0.000000000000849 | 2.04% | |
15.61 | 1.83% | |
0.0082 | 5.13% | |
0.000000000582 | -17.91% | |
0.003092 | -0.48% | |
0.002996 | 9.22% | |
0.1493 | -0.60% | |
0.00000000000046 | 12.20% | |
0.3531 | -0.11% | |
300.02 | -33.18% | |
0.2745 | -5.99% | |
0.1301 | -11.38% | |
0.0004627 | -0.02% | |
0.000028 | 0.00% | |
0.0000006519 | -1.14% | |
0.02096 | 5.43% | |
0.1725 | 0.12% | |
0.0726 | -0.82% | |
0.658 | 0.61% | |
0.005407 | -5.26% | |
0.853 | -0.47% | |
0.1845 | -0.54% | |
0.00006 | -25.00% | |
0.0000119 | 0.00% | |
0.00000000000014 | 0.00% | |
0.0584 | -5.65% | |
0.0000000000000155 | -4.91% | |
0.00000000000102 | 0.99% | |
1.351 | 2.12% | |
0.0345 | -2.27% | |
0.000022 | 0.00% | |
0.002485 | -2.97% | |
0.00000867 | 0.00% | |
0.0003016 | -1.89% | |
0.001987 | 9.30% | |
0.03790 | 0.80% | |
0.0003346 | -2.16% | |
0.0005 | -44.44% | |
0.0945 | -1.05% | |
0.02322 | -11.81% | |
0.0007 | -41.67% | |
0.0000200 | -5.21% | |
0.000848 | 0.36% | |
0.0094 | 3.30% | |
0.02672 | -0.67% | |
1.73 | 1.17% | |
0.01143 | -0.61% | |
0.2567 | -2.17% | |
0.596 | -1.97% | |
0.1121 | -3.20% | |
0.1656 | -2.76% | |
0.00300 | -57.08% | |
0.000046 | 48.39% | |
0.05575 | 0.00% | |
0.005850 | -50.95% | |
0.002194 | 1.01% | |
0.000000000001533 | -4.31% | |
0.0000018 | -21.74% | |
0.0000164 | 0.00% | |
0.530 | -0.75% | |
0.0000579 | 0.00% | |
0.1974 | -1.20% | |
0.0003606 | -6.29% | |
0.002700 | 0.52% | |
0.0001 | 0.00% | |
0.04057 | 0.00% | |
0.0000000030020 | -0.65% | |
0.4194 | -0.94% | |
0.2428 | 0.00% | |
0.0000442 | -5.35% | |
0.00192 | -2.54% | |
0.00001985 | -0.25% | |
0.000000000019 | -13.64% | |
0.02095 | -0.24% | |
0.00614 | 0.00% | |
0.000043 | -25.86% | |
0.0363 | -0.55% | |
0.1687 | -0.65% | |
0.00000000000261 | 12.99% | |
0.00000080 | 0.00% | |
0.00072 | -6.49% | |
0.0005 | -16.67% | |
0.000001609 | -2.84% | |
0.0959 | 0.00% | |
0.002791 | -4.61% | |
0.000092 | 0.00% | |
0.00010000 | 0.00% | |
0.000000024 | -51.02% | |
0.000003725 | -0.03% | |
0.000000000111 | 4.72% | |
0.0002996 | -0.07% | |
0.04601 | 0.37% | |
0.0729 | -1.75% | |
0.002546 | 7.11% | |
0.00662 | 2.32% | |
0.000063 | 0.00% | |
0.000189058 | -0.60% | |
0.0296 | -1.66% | |
0.0000049 | -43.02% | |
0.0070 | -1.41% | |
0.000353 | -28.83% | |
0.0000301 | -8.51% | |
0.01530 | 1.39% | |
0.00000000001765 | 0.00% | |
0.0005869 | -0.41% | |
0.0005 | 0.00% | |
0.001977 | 13.30% | |
0.000000002431 | -1.90% | |
0.000000000004 | -55.56% | |
0.2666 | 0.49% | |
0.1319 | -0.38% | |
0.0000833 | -16.70% | |
0.000054 | -1.82% | |
0.0200 | 4.17% | |
0.00113 | 0.00% | |
1.954 | 0.10% | |
0.000018 | -25.00% | |
0.00000000021849 | -0.09% | |
0.00778 | -1.02% | |
0.00755 | 0.00% | |
0.00000000003775 | 3.57% | |
0.00008799 | -0.26% | |
0.0000580 | 0.52% | |
0.0000054 | -1.82% | |
0.001120 | 0.00% | |
0.00000000031 | -35.42% | |
0.00023474 | 0.00% | |
0.0243 | 1.25% | |
0.0208 | -1.42% | |
0.0000111 | 0.00% | |
0.000452 | 0.00% | |
0.00072 | 4.35% | |
0.2847 | 7.15% | |
0.00004 | 0.00% | |
0.0089 | -8.25% | |
0.000035 | -43.55% | |
0.000554 | 25.06% | |
0.00024 | 9.09% | |
0.00021 | -48.78% | |
5.540 | -0.65% | |
0.00000055 | 7.84% | |
0.0063 | 0.00% | |
0.00000010 | -9.09% | |
0.00000000000092 | -3.16% | |
0.000000000734 | 1.24% | |
0.0006 | 0.00% | |
0.000201 | -6.94% | |
0.0480 | 0.00% | |
0.0642 | 0.16% | |
0.0603 | -0.33% | |
0.0005417 | 0.74% | |
0.000699 | 4.33% | |
0.01114 | -6.39% | |
0.5413 | 1.88% | |
0.03048 | 6.95% | |
0.00012 | 9.09% | |
0.6645 | 4.10% | |
0.000469 | -5.25% | |
0.995 | 0.40% | |
0.2072 | -5.22% | |
0.02530 | -5.07% | |
58.5600 | 0.00% | |
0.0001451 | 0.00% | |
0.1174 | -4.32% | |
0.0447 | -1.54% | |
0.2348 | -1.30% | |
0.0003587 | -10.75% | |
5.748 | -5.13% | |
0.02838 | -0.35% | |
0.004580 | -0.61% | |
0.0006034 | -3.69% | |
0.002399 | -23.35% | |
4.8456 | 5.16% | |
0.00400 | 0.00% | |
0.0009012 | 0.00% | |
0.005758 | 9.91% | |
0.003259 | -3.98% | |
0.001642 | 3.66% | |
0.0007993 | 0.00% | |
0.002904 | -15.24% | |
0.2159 | 5.11% | |
0.01688 | -1.52% | |
0.007598 | 2.23% | |
0.002244 | 0.22% | |
0.0013 | 0.00% | |
0.6699 | 2.92% | |
0.2066 | 0.15% | |
0.04477 | 4.97% | |
0.00597 | 0.00% | |
0.5031 | 4.25% | |
1.184 | -7.28% | |
0.000173 | 5.49% | |
0.0394 | -1.99% | |
0.02677 | 1.44% | |
0.000110 | 0.00% | |
0.0811 | 5.74% | |
0.587 | 1.21% | |
0.00919 | 2.57% | |
0.1600 | -2.97% | |
3.8900 | 0.00% | |
2.55 | -3.41% | |
0.578 | 0.52% | |
0.0999 | -2.82% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
48.483 | 0.99% | |
1.520 | -15.84% | |
0.05296 | 0.97% | |
0.0510 | -0.39% | |
2.790 | -0.64% | |
4.873 | 0.21% | |
0.0001320 | 0.00% | |
0.06946 | -1.91% | |
0.00083 | 0.00% | |
2.264 | -2.79% | |
0.6450 | 2.81% | |
0.0688 | -1.85% | |
0.2166 | 0.00% | |
0.001103 | 1.19% | |
0.00006800 | 0.00% | |
1.390 | -2.52% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0762 | -1.04% | |
1.1371 | 0.00% | |
0.000079 | -1.25% | |
0.3347 | 1.21% | |
0.02213 | 0.00% | |
70.1 | 2.19% | |
0.0009 | 0.00% | |
0.4424 | 0.00% | |
0.1129 | 0.89% | |
0.0318 | -2.15% | |
0.0468 | -1.06% | |
0.000333 | -7.76% | |
0.9746 | 0.00% | |
0.0071 | 0.00% | |
0.01533 | 0.20% | |
0.000210 | 0.00% | |
0.00759 | 1.74% | |
0.1349 | -9.16% | |
6.67 | 1.21% | |
0.003841 | -1.34% | |
0.2257 | -3.17% | |
0.0560 | -6.04% | |
0.00000043 | 2.38% | |
0.1204 | 0.00% | |
2.572 | -4.42% | |
1.013 | -2.22% | |
0.004000 | 0.00% | |
4.44 | 0.91% | |
0.000300 | 0.00% | |
0.0023 | 0.00% | |
0.00035 | 0.00% | |
0.000000038 | -5.00% | |
0.0000193 | 0.00% | |
0.4593 | 0.00% | |
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% | |
0.2467 | 0.45% | |
0.000501 | -1.18% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.003512 | 0.00% | |
0.0114 | -2.56% | |
9.360 | 2.14% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000007 | 0.00% | |
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% | |
0.001000 | 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% | |
0.006490 | 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% | |
1.247 | 0.73% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.00008773 | 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% | |
0.0000000199 | 1.02% | |
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% | |
0.04360 | 5.57% | |
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% | |
0.0000082 | 6.49% | |
0.4606 | 0.00% | |
0.001800 | 0.00% | |
0.00125 | -0.79% | |
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 | 0.21% | |
0.000000005 | 0.00% | |
0.001200 | 0.00% | |
0.000313 | 0.00% | |
0.0000032 | 0.00% | |
0.0007000 | 0.00% | |
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% | |
0.0002100 | 0.00% | |
0.000265 | -0.38% | |
0.00625 | 0.00% | |
1899.00 | 0.00% | |
0.0000002930 | 0.00% | |
0.250 | 0.00% | |
0.3339 | 0.85% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.01036 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00979 | 0.20% | |
0.00538 | 0.00% | |
0.4540 | 5.56% | |
0.000000001868 | 0.00% | |
0.0015 | 0.00% | |
5155.00 | 0.00% | |
1.169 | -0.68% | |
0.0091 | 0.00% |