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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0.001699 | 6.32% | |
0.05085 | 9.19% | |
0.1523 | -5.17% | |
0.002022 | -4.08% | |
0.0777 | -86.83% | |
0.0671 | -3.59% | |
0.006174 | -0.99% | |
2.697 | -2.49% | |
0.000000001275 | -14.83% | |
0.004161 | 22.63% | |
0.00347 | -7.71% | |
7.11 | -6.82% | |
0.000200620 | 0.80% | |
0.00696 | -4.53% | |
0.000312 | 19.08% | |
2.7066 | 0.18% | |
0.000409 | -0.97% | |
0.000000448 | -9.86% | |
0.578 | 8.65% | |
0.004947 | -0.90% | |
0.1861 | -2.10% | |
0.03003 | -7.14% | |
0.000362 | 0.56% | |
0.7069 | 1.23% | |
0.6501 | -3.86% | |
0.1520 | 1.33% | |
0.000391 | 3.71% | |
0.004277 | -0.60% | |
0.00320296 | -3.99% | |
0.6188 | -2.24% | |
0.002775 | 1.31% | |
0.9536 | -2.27% | |
1.018 | -16.56% | |
19.1500 | -0.20% | |
0.003953 | 1.91% | |
0.002349 | -11.99% | |
0.0804 | -1.71% | |
0.0003777 | 3.91% | |
9.120 | 2.51% | |
0.773 | -4.69% | |
0.001954 | -11.22% | |
0.0532 | 0.38% | |
0.479 | -4.20% | |
0.0029470 | -2.35% | |
0.0875 | 59.09% | |
0.01491 | -5.21% | |
0.1712 | -1.50% | |
0.01465 | 0.14% | |
0.005960 | -5.99% | |
1.7628 | -0.05% | |
0.0000016447 | -1.04% | |
0.00006695 | -0.13% | |
0.000098 | 0.00% | |
6.34 | -7.85% | |
0.001810 | 0.11% | |
0.0000463 | -3.54% | |
0.013319 | -3.99% | |
0.000255 | -22.49% | |
18.1567 | -4.37% | |
0.0000145 | -2.03% | |
0.05742 | -25.04% | |
0.00000014220 | -2.82% | |
0.01999 | -8.76% | |
0.0002867 | -2.42% | |
0.0115 | 5.50% | |
0.000795 | 11.19% | |
0.0000000428 | 10.03% | |
1.1658499 | 4.09% | |
0.0426 | 0.47% | |
0.1907 | -4.89% | |
0.001428 | -6.73% | |
0.3540 | -5.07% | |
0.063369 | -1.09% | |
0.00000001173 | 0.95% | |
0.0041 | -2.38% | |
0.00451 | 0.22% | |
0.015263 | 5.52% | |
0.4841 | -0.19% | |
0.05575 | -2.07% | |
0.0002421 | -6.38% | |
5.410 | -2.19% | |
1.0810 | -3.83% | |
0.002996 | -1.83% | |
17.31 | -3.89% | |
0.773 | -2.89% | |
0.002033 | 8.31% | |
0.0023 | 0.00% | |
0.007652 | 0.20% | |
0.01160 | -2.77% | |
0.00000003418 | -2.31% | |
1969.41 | -3.41% | |
0.0000236 | -2.48% | |
0.00943 | 12.26% | |
0.0027 | 8.00% | |
0.001455 | -15.01% | |
0.02831 | 7.44% | |
0.7705 | -9.38% | |
0.000894 | 10.92% | |
16.81 | -1.12% | |
0.01246 | -0.40% | |
0.05966 | 3.58% | |
0.001626 | -11.20% | |
0.00782 | -13.11% | |
10.83 | -4.33% | |
27.11 | -2.94% | |
0.000503 | 0.60% | |
0.05102 | 13.78% | |
0.6672 | -4.11% | |
0.85419 | 0.31% | |
0.0009700 | 1.57% | |
0.02326 | -0.81% | |
0.002764 | -3.56% | |
0.003928 | -1.36% | |
0.005839 | 2.78% | |
0.0006010 | -1.41% | |
0.0574 | -8.01% | |
0.1769 | -1.28% | |
0.000744 | -25.23% | |
0.01455 | -10.52% | |
0.3526 | 0.26% | |
0.0145 | -7.64% | |
15.02 | -5.77% | |
0.1700 | 0.59% | |
0.01592 | -6.30% | |
0.01761 | 3.04% | |
0.603 | -0.82% | |
0.0160 | -1.84% | |
0.03430 | -7.30% | |
0.0003176 | -15.53% | |
0.0320 | -1.23% | |
6.3888 | 2.51% | |
0.51726 | -11.06% | |
1.755 | -1.96% | |
0.00213 | -2.74% | |
0.000000001600 | -8.26% | |
0.002445 | -1.29% | |
0.02628 | -4.68% | |
8.40 | -2.33% | |
0.0000285 | -40.63% | |
0.003568 | 7.70% | |
3126.28 | 0.61% | |
0.478 | -2.65% | |
0.07019 | 6.43% | |
5.375 | 1.30% | |
0.00845 | -3.10% | |
0.00006007 | -1.54% | |
0.0003409 | -14.09% | |
0.000522 | -10.00% | |
1.7676 | 2.08% | |
0.00063 | -14.86% | |
0.599 | -2.44% | |
2.6721 | -1.62% | |
0.00003464 | -4.39% | |
0.03471 | -4.01% | |
6.4004 | 0.01% | |
0.002363 | 0.17% | |
0.0105 | 8.25% | |
2.578 | -2.75% | |
0.1272 | -0.47% | |
12.88 | -0.16% | |
0.000701 | -3.18% | |
0.0000543 | -1.63% | |
0.4773 | -3.30% | |
0.01330 | -13.69% | |
0.00001171 | -1.51% | |
1.978 | -1.59% | |
0.0261 | -2.25% | |
9.628 | -0.97% | |
0.0000002925 | 0.00% | |
0.01834 | 0.11% | |
0.030391 | 0.38% | |
0.000001298 | -6.75% | |
0.04173 | -1.42% | |
0.3784 | -6.78% | |
0.03696 | -2.71% | |
0.0004238 | -1.40% | |
0.011991 | 0.02% | |
0.000222 | -3.90% | |
0.01367 | -4.07% | |
0.01160 | 1.67% | |
0.004225 | -7.14% | |
0.0007618 | 2.43% | |
0.0000000850 | -7.00% | |
0.03230 | -0.19% | |
0.2476 | -2.29% | |
0.003015 | -1.79% | |
0.0060 | -4.76% | |
0.0845 | -9.14% | |
0.000001467 | -3.30% | |
0.4144 | -1.40% | |
0.005021 | 36.96% | |
0.2455 | -2.39% | |
0.1886 | -0.53% | |
0.0112 | -50.66% | |
0.003393 | -3.39% | |
0.0002031 | -6.28% | |
0.2483 | -2.01% | |
0.00598 | -8.00% | |
0.00901 | -22.79% | |
0.002346 | -15.46% | |
0.0615 | -4.50% | |
0.0624 | -0.16% | |
0.0004037 | 0.12% | |
0.001842 | -9.44% | |
0.1086 | -5.48% | |
0.000103 | 9.57% | |
0.0208 | 1.46% | |
0.001562 | -1.70% | |
0.000225 | 16.58% | |
0.02726 | -6.77% | |
4.299 | -4.38% | |
0.001132 | -2.92% | |
7.4936 | -8.03% | |
0.0481 | -1.43% | |
0.0846 | -5.05% | |
0.0110 | -1.79% | |
0.1876 | -3.35% | |
0.01884 | -8.19% | |
0.00000000008365 | -8.17% | |
5.0150 | -6.71% | |
0.000656 | -0.30% | |
0.1072 | -3.25% | |
0.002825 | 8.53% | |
0.238 | -4.42% | |
0.06413 | -10.06% | |
0.01334 | 1.37% | |
0.0000002634 | -3.27% | |
0.00173 | 13.82% | |
0.0001899 | 5.09% | |
0.000000000233 | -4.51% | |
0.1985 | -1.19% | |
0.7615 | 0.01% | |
0.001717 | -3.16% | |
0.01714 | 17.56% | |
0.03644 | -3.50% | |
0.0141 | -6.62% | |
0.00000411 | -4.86% | |
0.00000001355 | -13.91% | |
0.00954 | 0.85% | |
2.163 | -1.95% | |
0.0000020 | 11.11% | |
0.004935 | -0.10% | |
0.00002287 | -0.52% | |
0.05096 | -1.94% | |
0.002450 | -2.04% | |
0.21805 | -5.51% | |
0.0042 | -79.21% | |
2.967 | -2.59% | |
0.2956 | -2.22% | |
0.002800 | 14.29% | |
0.1480 | -1.33% | |
1.039 | 0.68% | |
0.000800 | -0.62% | |
2.398 | -0.25% | |
0.01138 | -6.41% | |
0.0570 | -5.63% | |
0.0910 | -2.67% | |
1310 | -7.49% | |
0.17218 | -2.27% | |
0.2204 | 5.56% | |
0.001594 | -3.63% | |
0.0051044 | 0.08% | |
0.0000000000000137 | -4.20% | |
55.30 | -8.66% | |
0.2771 | 0.76% | |
0.1221 | -8.47% | |
0.0000089 | -3.26% | |
0.003895 | 0.57% | |
0.549 | -1.26% | |
307.3 | 0.26% | |
0.01556 | -1.27% | |
0.3124 | -2.98% | |
0.2688 | -0.92% | |
0.6563 | -4.55% | |
0.000252 | -6.67% | |
0.0104 | 8.33% | |
0.004503 | -4.94% | |
0.1127 | -16.21% | |
0.09260 | -3.17% | |
15.99 | -2.56% | |
0.1527 | -1.04% | |
0.00939 | -8.57% | |
0.1257 | -0.55% | |
0.001674 | -15.54% | |
0.000239 | -9.47% | |
0.00426 | -4.48% | |
0.10996 | -2.23% | |
0.3500 | -1.69% | |
0.8094 | -2.05% | |
0.001352 | -1.96% | |
0.01169 | -4.80% | |
0.00002695 | -3.16% | |
0.00000659 | -4.35% | |
0.02400 | 300.00% | |
0.555 | -3.98% | |
0.6344 | -1.58% | |
0.0005616 | -5.87% | |
0.781 | -2.86% | |
0.012200 | 0.00% | |
0.00092 | -5.15% | |
0.0501 | 0.00% | |
0.001950 | 62.36% | |
0.011815 | 8.13% | |
0.00945 | -3.28% | |
0.0808 | -3.58% | |
0.001048 | 0.00% | |
0.00000000000040 | 0.00% | |
0.0003873 | -12.34% | |
0.002224 | -3.43% | |
0.0000033 | -19.51% | |
0.1308 | -1.36% | |
0.00155 | -2.52% | |
0.0430 | -0.46% | |
0.3450 | -1.60% | |
0.457 | -0.65% | |
0.1155 | 0.00% | |
0.0746 | -1.58% | |
0.2714 | -0.48% | |
0.0997 | -0.60% | |
8.40 | -0.94% | |
0.1097 | -1.35% | |
0.0019979 | -2.16% | |
2.181 | -0.09% | |
0.386 | 0.00% | |
4.816 | -1.63% | |
0.0100 | 1.01% | |
13.61 | -1.31% | |
0.001154 | -4.47% | |
0.000853 | 0.59% | |
19.15 | -5.57% | |
0.01968 | -1.25% | |
0.0000000466 | -2.92% | |
0.003240 | -4.28% | |
0.0840 | 2.07% | |
0.0002597 | -5.18% | |
0.1255 | -3.91% | |
0.0004136 | 7.07% | |
0.2509 | -0.71% | |
0.715 | -1.65% | |
0.00001124 | 30.55% | |
0.00775 | -3.25% | |
0.0000557 | -1.76% | |
0.008749 | -2.79% | |
0.02728 | -17.36% | |
0.4283 | -0.42% | |
0.00000000000229 | 9.57% | |
0.006510 | -4.49% | |
0.0000000736 | -1.47% | |
0.0575 | -2.21% | |
0.0256 | -11.42% | |
0.00000000164 | 5.81% | |
0.00000000001842 | -5.05% | |
0.000345 | -4.43% | |
6.48 | 0.15% | |
0.0780 | 2.90% | |
0.001044 | -2.97% | |
0.04100 | -1.91% | |
0.1085 | -1.99% | |
16.30 | -2.45% | |
0.0002960 | -2.37% | |
0.00000226 | -21.25% | |
0.662 | -7.28% | |
101.25 | 0.54% | |
0.01468 | -5.78% | |
0.0882 | -1.67% | |
0.00717 | -0.69% | |
2.717 | 1.38% | |
0.1159 | -7.13% | |
0.0000085 | -3.41% | |
0.309 | -3.13% | |
0.3014 | -4.35% | |
0.0000000615 | 7.33% | |
0.000091 | 0.00% | |
1.219 | -1.14% | |
0.0000064900 | -1.67% | |
0.0000551 | 24.94% | |
0.006189 | 5.01% | |
0.02844 | 7.56% | |
0.000455 | -13.99% | |
0.00000001379 | 6.57% | |
0.006500 | 0.00% | |
0.00101 | 0.00% | |
0.568 | 0.00% | |
0.1894 | 0.16% | |
0.2803 | -2.71% | |
0.010497 | -7.99% | |
0.2408 | -9.30% | |
0.0000000134 | 4.69% | |
0.00000722 | 0.00% | |
0.01140 | -0.44% | |
0.0096 | 0.00% | |
1.348 | -2.03% | |
0.3359 | -2.47% | |
0.00000000001668 | 14.88% | |
0.0048 | 4.35% | |
0.662 | -2.07% | |
0.000661 | -3.22% | |
0.0228 | -2.15% | |
0.004216 | 0.00% | |
0.2649 | -2.18% | |
1.725 | -5.43% | |
0.002822 | 18.72% | |
0.01144 | 0.88% | |
0.911 | -1.51% | |
0.1067 | -1.84% | |
5.41 | -4.75% | |
0.0548 | 5.59% | |
0.00612 | -0.33% | |
70.1 | -0.57% | |
0.01779 | -2.20% | |
0.0648 | -5.40% | |
0.00002014 | -0.30% | |
15.53 | -0.51% | |
0.0005520 | -0.81% | |
0.671 | -3.45% | |
0.003974 | -1.66% | |
0.0306 | 0.66% | |
0.001117 | 4.98% | |
0.5413 | 3.50% | |
0.000412 | 0.49% | |
0.0234 | 0.86% | |
0.0870 | -2.47% | |
0.00003076 | 0.03% | |
0.0000583 | 0.34% | |
0.000861 | -15.34% | |
0.0006553 | -2.31% | |
0.1171 | -4.41% | |
0.2563 | -1.69% | |
0.000008 | -27.27% | |
0.00681 | -2.30% | |
0.001797 | -3.59% | |
1.432 | -3.50% | |
39.25 | -2.94% | |
0.1898 | -1.81% | |
0.003075 | -2.41% | |
0.000038 | -24.00% | |
0.001620 | -2.06% | |
0.000023 | -4.17% | |
0.00031 | -3.13% | |
5.687 | -1.61% | |
0.00997 | -1.38% | |
144.31 | -4.70% | |
0.1924 | -1.54% | |
22.630 | -1.26% | |
0.750 | 0.00% | |
0.1161 | -1.11% | |
0.0760 | -4.04% | |
0.00000000000014 | 0.00% | |
0.00001731 | 7.05% | |
0.00008773 | -2.07% | |
0.00000000001166 | -1.44% | |
0.00042 | 40.00% | |
0.1455 | 2.25% | |
0.8499 | 1.72% | |
0.00000018000 | -37.89% | |
12.28 | -7.39% | |
0.00003 | 0.00% | |
0.00000000000020 | 0.00% | |
0.003690 | 52.61% | |
0.0005067 | 6.05% | |
0.5095 | -0.89% | |
0.000062 | 5.08% | |
0.00879 | -9.85% | |
0.00000357 | -4.29% | |
2.843 | -3.89% | |
0.0654 | 0.46% | |
0.8769 | 0.18% | |
0.00755 | -0.13% | |
0.0306 | -1.92% | |
0.000600 | 0.00% | |
0.00000000000458 | 8.27% | |
0.0077 | -8.33% | |
0.0000008 | 100.00% | |
0.000000000301 | -27.99% | |
0.0429 | -2.50% | |
0.00018 | -18.18% | |
16.06 | -1.65% | |
0.0297 | -1.00% | |
0.00088 | 1157.14% | |
0.00189 | -16.00% | |
0.0776 | 0.91% | |
0.000350 | 0.29% | |
0.0003560 | 0.85% | |
0.0802 | -7.82% | |
0.000915 | -2.45% | |
0.0001100 | -2.57% | |
0.03399 | -4.79% | |
1.283 | -0.31% | |
0.2163 | -1.23% | |
0.01185 | 0.42% | |
0.005978 | 37.11% | |
0.0050 | -28.57% | |
0.0000512 | -16.75% | |
0.0327 | 0.31% | |
0.00012387 | -2.46% | |
0.0424 | -2.75% | |
0.2183 | -1.18% | |
0.04220 | 4.22% | |
0.0013 | 8.33% | |
0.000002084 | -8.19% | |
0.4964 | 1.76% | |
0.02187 | -2.02% | |
0.5544 | -0.79% | |
0.01028 | -6.03% | |
0.03741 | -8.73% | |
0.0006980 | -3.75% | |
0.00743 | -4.01% | |
0.002700 | 4.98% | |
0.00082107 | -1.08% | |
0.0000000000000159 | -0.63% | |
0.003505 | -3.63% | |
0.0686 | -1.44% | |
0.05927 | -1.07% | |
0.1240 | -4.54% | |
0.000018 | 0.00% | |
0.000001606 | 1.01% | |
0.000000000004600 | -1.90% | |
0.0000008 | -20.00% | |
0.00000000003312 | -0.30% | |
2.042 | 0.00% | |
0.0005 | 0.00% | |
0.00002 | -60.00% | |
0.000000000019 | 0.00% | |
0.001200 | 0.42% | |
0.003880 | -3.60% | |
0.00000006 | 0.00% | |
0.0000032 | 10.34% | |
0.003938 | -0.10% | |
0.000787 | -7.52% | |
0.04438 | -3.90% | |
0.010200 | 0.99% | |
0.000000000037 | -7.50% | |
0.00733 | -3.55% | |
0.1760 | -3.03% | |
0.00000000003408 | -4.16% | |
0.00000000000652 | 0.15% | |
0.00010999 | 80.10% | |
0.000000000000847 | 3.04% | |
0.01250 | -5.16% | |
0.0000063 | -37.00% | |
0.05505 | -3.66% | |
0.0151 | 12.69% | |
0.001004 | -5.01% | |
0.000000000765 | 75.46% | |
0.1605 | -1.53% | |
1.2970 | -4.77% | |
0.4408 | -1.74% | |
0.0000056 | 250.00% | |
0.0012 | 0.00% | |
0.0001623 | 1.56% | |
0.03420 | -0.29% | |
0.001120 | 0.72% | |
0.00002 | -75.00% | |
0.00004 | 0.00% | |
2.2869 | -0.20% | |
50.0000 | 0.00% | |
0.02457 | -9.54% | |
0.0652 | -4.26% | |
0.00023 | -36.11% | |
0.02049 | 10.94% | |
0.000169 | -5.06% | |
0.02810 | -19.39% | |
0.0873 | -3.75% | |
0.3789 | 2.27% | |
0.000000002011 | 24.83% | |
0.1126 | -1.05% | |
0.01270 | 18.80% | |
0.0000509 | 0.39% | |
0.00001 | 0.00% | |
0.0984 | -2.57% | |
0.0000082 | -3.53% | |
0.001859 | -7.00% | |
0.00414 | -3.72% | |
0.0575 | 14.09% | |
0.000930 | -2.52% | |
0.000000091 | -9.90% | |
2.203 | 1.01% | |
0.02733 | -1.41% | |
0.024504 | 0.00% | |
0.1219 | -5.72% | |
0.0000194 | -37.42% | |
0.00238 | -4.03% | |
0.1700 | -3.19% | |
0.0111 | 0.91% | |
0.0007 | 0.00% | |
0.0001 | 0.00% | |
0.6997 | -0.01% | |
0.000019 | 0.00% | |
0.00009312 | -2.50% | |
0.00008 | -38.46% | |
0.0098 | -1.01% | |
0.00004381 | 1.53% | |
0.01755 | -2.12% | |
0.000900 | 49.50% | |
0.00000000015902 | 1.24% | |
0.00000051 | 0.00% | |
0.00000000000099 | -1.00% | |
1.73 | -27.92% | |
0.00010 | 42.86% | |
0.003496 | -3.37% | |
0.0000260 | 1.17% | |
0.00478 | -4.21% | |
0.0005796 | -4.07% | |
0.0002 | 0.00% | |
48.667 | -0.95% | |
0.000024 | 9.09% | |
1.064 | -2.30% | |
0.000000000001556 | -0.38% | |
0.0000213 | 0.47% | |
0.004523 | -5.38% | |
0.0788 | -1.99% | |
0.00013885 | -0.28% | |
0.000001955 | -0.71% | |
0.0000094 | -31.88% | |
0.00083 | -19.42% | |
0.0192 | 3.78% | |
0.0117 | 1.74% | |
0.01489 | -4.24% | |
0.000064 | 0.00% | |
0.000042 | 2.44% | |
0.000024 | -27.27% | |
0.0744 | -2.23% | |
0.6782 | -3.05% | |
0.0000442 | 34.35% | |
0.00000000000291 | 1.04% | |
0.000000000525 | 16.93% | |
0.2131 | 1.00% | |
0.000005 | -28.57% | |
0.0000001300 | 0.00% | |
0.001263 | 0.00% | |
0.0000119 | 0.00% | |
0.000192044 | -0.57% | |
0.000027 | -6.90% | |
0.000000000009 | 0.00% | |
0.000011 | 0.00% | |
0.00113 | 44.87% | |
0.0000000109 | 105.66% | |
0.0009 | 0.00% | |
0.007999 | -0.01% | |
0.000077 | 1.32% | |
0.0000193 | 0.52% | |
0.00004398 | 0.00% | |
0.0632 | -2.92% | |
1.0722 | -5.87% | |
0.01256 | 0.96% | |
0.5397 | -2.12% | |
0.0971 | -4.43% | |
0.01538 | 0.00% | |
0.09598 | -1.12% | |
0.2937 | -7.23% | |
0.414 | -0.48% | |
0.00012 | -7.69% | |
0.1044 | -0.76% | |
0.002155 | 1.65% | |
0.001281 | -2.06% | |
1.4373 | -1.16% | |
58.5600 | 0.00% | |
0.004671 | 3.68% | |
0.0001450 | 0.00% | |
0.0442 | -8.49% | |
0.02894 | -0.10% | |
17.471 | -4.98% | |
0.0003495 | 0.00% | |
0.003342 | -5.19% | |
0.08163 | 1.32% | |
0.0006535 | -5.21% | |
0.003176 | -5.62% | |
0.00385 | 0.00% | |
0.0009012 | 0.00% | |
0.005294 | -7.80% | |
0.0003957 | 0.84% | |
0.001645 | -7.01% | |
0.000057 | -3.39% | |
0.0007993 | 0.00% | |
6.005 | 0.92% | |
0.1909 | -7.82% | |
0.0000579 | -1.03% | |
0.001228 | -10.30% | |
0.002819 | -5.85% | |
0.002588 | -3.32% | |
0.002273 | -3.48% | |
0.2163 | 1.22% | |
1899.00 | 0.00% | |
0.4180 | 1.46% | |
0.0979 | -2.30% | |
0.1067 | -13.04% | |
0.04353 | -2.73% | |
0.000115 | -0.86% | |
0.4985 | -4.13% | |
0.000864 | 14.44% | |
0.1274 | -0.55% | |
1.285 | 4.13% | |
0.0395 | -1.25% | |
0.00206 | -0.96% | |
0.000119 | 0.00% | |
0.00000286 | -1.38% | |
0.00976 | -2.40% | |
3.8900 | 0.00% | |
2.78 | -4.14% | |
0.532 | -0.75% | |
0.1057 | 5.28% | |
1.000000 | 0.00% | |
0.1742 | 0.29% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
1.873 | 4.64% | |
2.678 | -0.96% | |
0.0345 | -3.90% | |
0.0517 | -2.08% | |
0.000000049 | 11.36% | |
0.0001320 | 0.00% | |
0.1326 | -0.67% | |
0.07063 | 0.41% | |
0.00737 | -1.60% | |
0.634 | -2.46% | |
0.0700 | 0.00% | |
0.000000000003 | 0.00% | |
0.001100 | -1.61% | |
0.00000080 | 0.00% | |
0.1643 | -1.62% | |
0.000216 | 0.00% | |
0.0000000030210 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0790 | -1.37% | |
1.1371 | 0.00% | |
0.4424 | 0.00% | |
0.0376 | -4.33% | |
0.0525 | 1.55% | |
0.000378 | 0.80% | |
0.0071 | 0.00% | |
0.01563 | -2.92% | |
0.000210 | 0.00% | |
1.396 | 0.58% | |
0.00779 | -1.77% | |
0.1502 | -1.38% | |
6.81 | -2.16% | |
0.0415 | -3.49% | |
0.000452 | 0.00% | |
0.0271 | 0.00% | |
0.230000 | 0.00% | |
0.000000002454 | 0.90% | |
0.00000011220 | 0.00% | |
0.00000044 | 2.33% | |
0.1204 | 0.00% | |
0.004000 | 0.00% | |
4.66 | -2.51% | |
0.000300 | 0.00% | |
0.00035 | 0.00% | |
0.000000040 | 2.56% | |
0.0005 | 0.00% | |
0.00033 | 0.00% | |
0.011926 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.0063 | 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% | |
0.000077 | 0.00% | |
0.001405 | 0.00% | |
0.2463 | 0.20% | |
0.000902 | 0.00% | |
0.0223 | -5.51% | |
0.000000000771 | 5.33% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.000448 | -2.18% | |
0.00000000052 | -3.70% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000045 | 0.00% | |
0.00001626 | 0.00% | |
0.000000000375 | 0.00% | |
0.00024 | 4.35% | |
0.000000008400 | 0.00% | |
0.0000002262 | -4.92% | |
0.000427 | 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% | |
-- | -- | |
0.00000000000101 | 0.00% | |
0.001290 | 0.00% | |
0.00000011 | 0.00% | |
0.0000006646 | -0.06% | |
0.001000 | 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% | |
0.000118 | 0.00% | |
0.0010 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.0027 | 0.00% | |
0.00005458 | 0.00% | |
0.00280 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0195 | 0.00% | |
0.0001000 | 0.00% | |
0.000000000106 | -2.75% | |
0.05056 | 0.00% | |
1.3575 | 0.00% | |
0.00136 | 0.00% | |
0.000092 | 0.00% | |
0.001234 | 0.00% | |
0.000449 | 0.00% | |
0.0066 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.0084 | 0.00% | |
0.018559 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.00000151 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.000808 | 0.00% | |
0.001200 | 0.00% | |
0.000100 | 0.00% | |
0.001050 | 0.00% | |
0.000600 | 0.00% | |
0.000383 | 0.00% | |
0.01590 | 0.00% | |
0.001000 | 0.00% | |
0.0006 | 0.00% | |
0.0786 | 0.00% | |
0.001563 | 0.00% | |
1.6349 | 0.00% | |
0.001791 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.001801 | 0.00% | |
0.000365 | 0.00% | |
0.0200 | 0.00% | |
0.0093 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
1.271 | -2.31% | |
3.7189 | 0.00% | |
0.00000011 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
0.0013 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.001120 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.002500 | 0.00% | |
0.0036 | 0.00% | |
0.1769 | 0.00% | |
0.0000000185 | -7.04% | |
0.0005 | 0.00% | |
0.000258 | 0.00% | |
0.000632 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.0002031 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
2.1111 | 0.00% | |
0.0060 | 0.00% | |
0.04535 | 3.21% | |
0.0550 | 0.00% | |
0.004148 | 0.41% | |
8.4900 | 0.00% | |
1.76670591 | 0.00% | |
0.0024 | 0.00% | |
0.0048 | 0.00% | |
0.000399 | 0.00% | |
0.0001702 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.0864 | 0.00% | |
0.000835 | 0.00% | |
0.0102 | 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% | |
0.00294 | 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% | |
0.0069 | 0.00% | |
0.88686 | 0.00% | |
0.00077 | 0.00% | |
0.05578 | 0.00% | |
1.1760 | 0.00% | |
0.000561 | 0.00% | |
0.1725 | 0.00% | |
0.03786 | 0.00% | |
0.01463 | 0.00% | |
0.01324 | -3.22% | |
0.0000076 | -12.64% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.00126 | 0.00% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
0.0000008 | 0.00% | |
1.3259 | 0.59% | |
0.00995 | 0.00% | |
0.00390 | 0.00% | |
0.0000325 | 0.00% | |
0.017744 | 0.00% | |
1.0000 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.1195 | 0.00% | |
0.00146 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.0000023 | 0.00% | |
0.1600 | 0.00% | |
0.000000005 | 0.00% | |
0.001035 | 0.00% | |
0.001518 | 0.00% | |
0.00083 | 0.00% | |
0.000313 | 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% | |
0.00046 | 0.00% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00013699 | 0.00% | |
0.002563 | 0.00% | |
0.00625 | 0.00% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000700 | 0.00% | |
0.01030 | 0.00% | |
3.7449 | 0.00% | |
0.008231 | 0.00% | |
0.00233 | 0.00% | |
0.00070 | 0.00% | |
0.003000 | 0.00% | |
0.000310 | 0.00% | |
450.00 | 0.00% | |
0.0000269 | 0.00% | |
0.0000000500 | 0.00% | |
0.00622 | 0.00% | |
0.000000000129 | 0.00% | |
0.000426832 | 0.00% | |
0.000001300 | -45.83% | |
0.00002801 | 0.00% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.0000245 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.0030487 | 0.00% | |
0.000003726 | 0.00% | |
0.000510 | 0.00% | |
0.00218 | 0.00% | |
0.002100 | 0.00% | |
0.00170 | 0.00% | |
0.0620 | 0.00% | |
0.000055 | 0.00% | |
0.3101 | 0.00% | |
0.0000211 | 0.00% | |
0.4400 | 0.00% | |
1.4371 | 0.00% | |
0.0002100 | 0.00% | |
0.0000259 | 0.00% | |
0.00625 | 0.00% | |
0.6000 | 0.00% | |
0.250 | 0.00% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.000000000768 | -5.30% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02667 | 0.38% | |
0.4240 | 0.28% | |
0.314 | -1.26% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
0.0091 | 0.00% |