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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0.001219 | 10.32% | |
0.00230 | 0.88% | |
8.82 | 1.50% | |
1.7160 | -4.43% | |
0.00287 | 1.41% | |
0.002106 | -37.00% | |
0.004027 | 2.42% | |
0.0000000001577 | -15.49% | |
0.002811 | -1.92% | |
0.004614 | 6.78% | |
0.1877 | -1.31% | |
0.030980 | 3.84% | |
0.4133 | 0.17% | |
7.0745 | 3.03% | |
0.032635 | -18.20% | |
3.004 | 9.52% | |
0.00584 | 21.41% | |
2.6869 | -1.33% | |
0.002616 | 14.19% | |
0.5910 | 2.93% | |
24.6000 | 36.67% | |
0.0004581 | 7.56% | |
0.01725 | -0.58% | |
0.00460 | 0.00% | |
0.02928 | 1.74% | |
0.00828 | -11.35% | |
0.000820 | 8.61% | |
0.005256 | -3.75% | |
0.00814 | -8.33% | |
4.460 | -8.25% | |
0.000000001275 | 0.00% | |
1.2221 | 0.68% | |
0.0001913 | -15.17% | |
0.0884 | 0.45% | |
0.001888 | -2.48% | |
0.000851 | -0.58% | |
0.000182 | 8.33% | |
0.00797 | -5.46% | |
0.08787 | -2.26% | |
0.001450 | -25.64% | |
0.008304 | 2.70% | |
0.004947 | 0.59% | |
306.6 | 1.12% | |
0.10293 | 5.45% | |
0.01022 | -5.28% | |
0.7007 | -0.31% | |
0.3507 | 0.95% | |
0.0004337 | -23.02% | |
0.00849 | 1.68% | |
0.004095 | -1.35% | |
0.000384 | 0.26% | |
0.002193 | -23.91% | |
0.0000283 | 10.12% | |
0.01218 | 42.29% | |
6.2543 | 0.44% | |
0.746 | 1.08% | |
0.002822 | 5.26% | |
0.00000879 | 19.11% | |
0.03813 | 4.67% | |
0.0001846 | -7.00% | |
0.01896 | 8.59% | |
0.1079 | -2.88% | |
0.001770 | -22.06% | |
0.6401 | 1.89% | |
1.8260 | 5.18% | |
12.918 | -27.99% | |
0.0549 | -7.58% | |
2.767 | -1.07% | |
0.0000243 | 2.97% | |
0.03950 | 1.18% | |
0.0030218 | 1.68% | |
0.01469 | 0.27% | |
0.00005942 | -0.24% | |
0.000735 | 2.23% | |
0.1463 | -5.31% | |
0.1767 | -3.28% | |
0.3055 | -2.58% | |
0.001390 | -10.90% | |
0.005501 | -31.19% | |
0.004024 | -5.30% | |
0.064864 | 2.91% | |
0.001561 | 29.98% | |
2027.34 | 4.55% | |
0.2076 | 0.19% | |
13.12 | 0.85% | |
0.001243 | -5.11% | |
0.0615 | 3.02% | |
59.40 | 4.74% | |
25.82 | -3.30% | |
0.02370 | -0.50% | |
4.341 | -0.32% | |
0.00793 | -13.05% | |
3.670 | 8.32% | |
0.000263 | 0.77% | |
0.000681 | -8.59% | |
0.0039 | -2.50% | |
142.92 | 2.05% | |
0.00489 | 2.95% | |
0.0103 | -3.74% | |
0.001580 | 33.33% | |
0.00111 | -88.90% | |
0.001171 | -22.71% | |
0.012767 | 0.50% | |
0.0651 | -1.21% | |
0.001020 | -15.14% | |
0.000580 | -3.33% | |
0.00405 | 0.50% | |
2.126 | -1.62% | |
0.0779 | -3.95% | |
0.1140 | -25.00% | |
0.003078 | 4.13% | |
0.01758 | 0.06% | |
30.9000 | -0.32% | |
19.12 | -5.91% | |
0.000040 | 33.33% | |
0.00000006246 | -2.53% | |
0.595 | 0.85% | |
0.002970 | 9.15% | |
0.00006390 | -5.43% | |
0.01249 | -0.08% | |
0.01062 | -1.30% | |
0.0001997 | -8.94% | |
0.0993 | -6.85% | |
0.00004912 | 4.33% | |
0.004993 | 64.62% | |
0.0000174 | 8.75% | |
0.2957 | 11.50% | |
0.0072 | 16.13% | |
1.471 | 0.07% | |
0.000206 | -5.50% | |
0.001786 | 3.42% | |
0.00004099 | 7.50% | |
0.04490 | 0.22% | |
0.000300 | 0.00% | |
0.003991 | 1.73% | |
0.0112 | 0.90% | |
0.0712 | -2.47% | |
0.00509 | -5.21% | |
0.016550 | 15.81% | |
0.000829 | -0.72% | |
0.001126 | 10.83% | |
0.02508 | -38.95% | |
0.01064 | 2.50% | |
0.001646 | -2.26% | |
7.70 | -7.00% | |
0.003579 | 11.43% | |
0.83491 | 0.10% | |
0.0474 | 0.00% | |
0.002090 | -20.11% | |
0.01039 | 0.48% | |
0.007569 | -1.71% | |
0.002282 | -25.69% | |
0.00000013121 | 1.63% | |
0.0089 | 2.30% | |
0.02911 | -0.10% | |
0.00000000046 | -74.01% | |
7.30 | 1.25% | |
0.03660 | -39.22% | |
16.70 | -0.30% | |
0.0210 | -0.94% | |
0.5601 | -0.87% | |
0.18114 | -11.38% | |
0.00000591 | -5.14% | |
0.00000001187 | -18.75% | |
0.0721 | -1.50% | |
0.01417 | -12.42% | |
0.00232 | -1.69% | |
0.0000000361 | -5.25% | |
0.0000439 | 1.15% | |
0.01097 | 2.52% | |
11.12 | 1.28% | |
0.001936 | 14.83% | |
0.000514 | 16.55% | |
0.500 | -0.99% | |
0.467 | -1.27% | |
0.384 | 0.79% | |
0.00511 | -2.29% | |
0.04530 | 6.49% | |
0.0246 | -5.75% | |
0.01491 | -16.19% | |
0.0020629 | 11.66% | |
0.00003949 | -1.72% | |
0.02533 | 4.63% | |
0.0006554 | 1.53% | |
1.3415 | 12.50% | |
0.0099 | -1.98% | |
0.000140 | -23.50% | |
0.00410 | 2.76% | |
0.0621 | 3.16% | |
0.3259 | -2.01% | |
0.0000528 | -3.47% | |
0.02314 | 3.53% | |
0.002181 | 2.20% | |
0.1125 | -5.22% | |
0.1085 | 163.35% | |
0.000899 | 3.69% | |
0.07934 | 23.08% | |
0.01462 | 2.60% | |
0.7707 | -0.62% | |
0.010985 | -8.45% | |
22.827 | 1.71% | |
0.00000401 | 2.56% | |
0.000000001760 | 2.92% | |
0.01642 | 20.12% | |
0.00000000008121 | -0.61% | |
1.1008499 | -1.38% | |
0.435 | -2.03% | |
16.0357 | -6.39% | |
0.0826 | 4.16% | |
0.4146 | 0.39% | |
0.002220 | -1.25% | |
0.012336 | -20.56% | |
0.0000000636 | -13.59% | |
0.01410 | 9.47% | |
10.678 | 9.63% | |
0.00575 | 3.05% | |
0.00003 | 50.00% | |
0.000356 | 0.85% | |
0.0000000184 | 39.39% | |
0.0622 | 7.61% | |
0.361 | -10.64% | |
0.02008 | 38.10% | |
0.0762 | -6.27% | |
0.0003569 | -9.81% | |
5.40 | 0.00% | |
0.05909 | -5.05% | |
0.1260 | 9.57% | |
0.214 | -4.89% | |
0.0009389 | -1.48% | |
9.5012 | 4.18% | |
0.000808 | -0.86% | |
0.05931 | -1.59% | |
0.000793 | 1.15% | |
0.03235 | -2.27% | |
0.001183 | 3.32% | |
0.0000000797 | 4.18% | |
0.002520 | -5.33% | |
1.539 | 5.41% | |
16.26 | 1.94% | |
0.012600 | 3.62% | |
0.0544 | 2.84% | |
0.1281 | -1.76% | |
0.0002737 | -6.87% | |
0.003935 | 3.80% | |
0.006378 | 2.38% | |
0.0278 | -1.07% | |
0.00328965 | 6.22% | |
0.0000082 | -11.83% | |
0.1710 | 1.12% | |
0.004196 | 4.98% | |
0.0000749 | -20.57% | |
0.16828 | -3.00% | |
0.01418 | -4.38% | |
0.1669 | 0.00% | |
0.0515 | -2.28% | |
0.0938 | -3.00% | |
0.003840 | 23.43% | |
0.01101 | -5.17% | |
0.0004241 | 16.90% | |
0.003192 | -1.78% | |
0.02341 | 2.09% | |
0.01461 | 11.78% | |
0.02805 | -13.00% | |
0.3858 | -5.99% | |
0.001953 | 0.93% | |
0.00680 | -2.44% | |
0.1618 | -0.98% | |
0.010496 | -4.93% | |
0.000488 | -2.98% | |
5.349 | 1.21% | |
0.0003303 | -11.14% | |
0.0000390 | -29.35% | |
0.1802 | 7.20% | |
0.00001524 | -5.22% | |
0.0035 | -27.08% | |
0.000345 | 0.00% | |
0.278 | -6.71% | |
0.01348 | -2.03% | |
0.0051057 | 0.03% | |
0.01363 | 5.58% | |
0.01732 | -2.75% | |
0.02555 | -0.66% | |
0.2486 | 4.06% | |
0.518 | -1.71% | |
2.909 | 0.03% | |
0.003684 | -11.48% | |
0.893 | 2.29% | |
0.00000001330 | -4.66% | |
0.0839 | 10.83% | |
0.0028 | -3.45% | |
0.0627 | -0.32% | |
0.002198 | 28.91% | |
0.000829 | -1.43% | |
0.001000 | -1.86% | |
0.000275 | 2.23% | |
0.00233 | 0.00% | |
15.74 | -0.69% | |
0.0000088 | 7.32% | |
0.1007 | -0.79% | |
0.0785 | -4.62% | |
17.64 | 23.27% | |
0.000483 | -0.21% | |
0.00017 | 6.25% | |
0.761 | 0.93% | |
0.000881 | -3.29% | |
0.00912 | -0.11% | |
0.01437 | 0.98% | |
0.003227 | 12.64% | |
0.001639 | 8.18% | |
0.04716 | -4.61% | |
0.001464 | 13.93% | |
0.00000001156 | 1.05% | |
0.000899 | 1.58% | |
0.0001790 | -5.09% | |
0.0002508 | -1.45% | |
0.002489 | -3.15% | |
6.14 | -3.15% | |
0.0175 | 12.90% | |
0.0046 | -9.80% | |
0.00000027397 | 110.71% | |
0.0574 | 4.36% | |
0.4370 | -0.16% | |
0.000000449 | -0.22% | |
0.1010 | 1.51% | |
0.000277 | 14.94% | |
0.0094 | -1.05% | |
0.0004355 | 8.04% | |
0.1949 | -0.56% | |
0.5323 | -1.41% | |
0.0568 | -4.05% | |
0.03904 | 4.75% | |
0.1364 | -4.55% | |
0.002198 | 4.22% | |
0.00899 | 11.12% | |
0.2338 | -1.97% | |
0.006902 | -14.26% | |
0.002659 | -1.04% | |
0.003089 | 1.88% | |
0.0478 | -5.53% | |
0.2758 | -8.04% | |
0.0509 | -0.39% | |
0.00499 | 3.31% | |
0.00000016000 | -1.23% | |
0.1943 | 3.79% | |
0.000635 | 41.11% | |
0.0142 | -4.70% | |
0.0239 | 0.00% | |
0.0004590 | -10.23% | |
0.0634 | -0.94% | |
0.000855 | 1.79% | |
0.002790 | 1.45% | |
0.00002885 | -19.41% | |
0.02984 | -8.61% | |
1.783 | 4.82% | |
0.0870 | 1.05% | |
0.1029 | -2.83% | |
0.8220 | 8.29% | |
0.000000105 | 12.90% | |
0.1088 | 9.46% | |
0.1830 | -1.40% | |
0.000001490 | 1.98% | |
0.000095 | -3.06% | |
0.0752 | 0.67% | |
0.0000000639 | 2.08% | |
0.000866 | 0.58% | |
0.01320 | 9.73% | |
0.004626 | -0.71% | |
0.303 | -0.98% | |
0.4615 | -8.36% | |
0.004779 | 12.69% | |
0.0013 | -13.33% | |
0.0427 | 1.67% | |
0.1036 | 1.57% | |
0.0000016574 | 1.23% | |
0.1526 | -0.07% | |
0.00002253 | 1.44% | |
0.8835 | -5.36% | |
0.001330 | -12.38% | |
0.01108 | 0.36% | |
0.000001839 | -0.11% | |
0.0069 | -1.43% | |
0.0000019 | -5.00% | |
0.1032 | -0.29% | |
2.162 | 1.84% | |
0.0000609 | 6.10% | |
0.0098 | -2.97% | |
0.0734 | -3.29% | |
0.0010 | -76.74% | |
0.0289 | -1.37% | |
0.00919 | 7.86% | |
0.01123 | -1.49% | |
0.002700 | 0.52% | |
16.16 | 2.15% | |
0.024139 | -0.28% | |
0.0000000000000141 | 4.44% | |
0.05982 | 6.20% | |
0.00000003428 | -0.49% | |
0.654 | 0.93% | |
0.00086 | -5.49% | |
0.0000007 | -12.50% | |
0.0165 | -6.25% | |
0.00150 | 0.67% | |
0.00000000000579 | 68.31% | |
0.01881 | -2.13% | |
0.0000000509 | -0.20% | |
0.00003065 | -3.65% | |
1.0001 | -2.05% | |
0.0305 | -6.15% | |
0.0982 | -0.20% | |
0.00000000000170 | -10.05% | |
0.000090 | -2.17% | |
0.00012983 | -5.90% | |
0.05325 | 1.10% | |
0.2674 | -4.12% | |
0.713 | 2.89% | |
0.00286 | 0.35% | |
0.1191 | -2.06% | |
0.008000 | 23.08% | |
0.02583 | -1.49% | |
0.000000002060 | -1.01% | |
0.003028 | 10.83% | |
0.00203 | 0.00% | |
0.000570 | -2.73% | |
0.000073 | 7.35% | |
0.001135 | 3.56% | |
0.0287 | -2.38% | |
1.3108 | -1.95% | |
0.1416 | 1.65% | |
13.22 | 1.46% | |
0.00000352 | 1.44% | |
0.00000000001301 | 3.91% | |
0.1212 | 5.03% | |
0.373 | 49.80% | |
0.0005780 | -1.35% | |
0.0000571 | 1.60% | |
0.635 | -0.78% | |
0.09126 | 0.24% | |
0.0161 | -8.00% | |
0.02231 | 9.52% | |
0.0403 | -1.71% | |
0.0090 | 0.00% | |
0.000000000517 | -8.98% | |
0.356 | 18.27% | |
0.10205 | -0.98% | |
0.717 | -2.18% | |
0.00165 | 10.74% | |
6.013 | -0.78% | |
0.0000002247 | 2.93% | |
0.0005646 | 3.71% | |
0.003785 | -0.58% | |
0.0592 | -7.64% | |
0.0000002544 | 1.56% | |
0.5174 | 2.78% | |
0.1050 | -2.69% | |
0.1072 | 3.68% | |
0.0074 | -2.63% | |
0.000445 | 2.77% | |
0.2073 | -1.66% | |
0.000016 | -27.27% | |
0.0000528 | 4.35% | |
0.001575 | -2.66% | |
0.07014 | -22.82% | |
0.1133 | -5.66% | |
0.001099 | -1.26% | |
0.000350 | -0.28% | |
0.6999 | 52.38% | |
0.000001750 | 0.00% | |
0.0000641 | 25.20% | |
0.3073 | -4.12% | |
0.00008779 | -1.49% | |
0.1056 | -7.45% | |
0.7957 | 0.09% | |
0.008105 | -1.53% | |
0.2621 | -2.75% | |
0.001465 | -2.33% | |
2.6685 | 2.69% | |
0.000000000525 | 17.45% | |
0.02648 | -2.29% | |
0.000048 | -25.00% | |
0.00001066 | 22.95% | |
0.0402 | -1.71% | |
0.000000000003920 | -15.52% | |
0.0000280 | 26.70% | |
0.000090 | -10.00% | |
0.00000000000958 | -9.88% | |
1.165 | -6.87% | |
0.000027 | 12.50% | |
0.000022 | 0.00% | |
0.000000000229 | -2.97% | |
0.2557 | -10.06% | |
0.002030 | 0.10% | |
1.342 | -2.26% | |
0.0008 | -11.11% | |
0.000000000745 | -6.41% | |
0.00604 | -11.05% | |
4.0000 | -36.29% | |
0.001300 | -30.85% | |
0.00000000000661 | -24.11% | |
0.0467 | -1.27% | |
0.0762 | -1.30% | |
0.3182 | 12.24% | |
15.42 | 0.06% | |
1.950 | 2.63% | |
0.0007700 | 0.56% | |
0.0220 | -1.35% | |
0.000475 | -5.38% | |
0.000000000501 | -28.94% | |
0.0000000000000156 | -1.89% | |
0.000113 | 0.89% | |
0.001640 | -0.91% | |
0.1807 | -4.89% | |
2.426 | 2.88% | |
0.003109 | 1.11% | |
0.1465 | -1.81% | |
0.000000000000828 | 0.36% | |
0.00000000000046 | 12.20% | |
0.0576 | -6.19% | |
0.00798 | -1.60% | |
0.3428 | -3.76% | |
300.02 | -33.18% | |
0.006048 | -4.03% | |
0.000814 | -6.86% | |
5.507 | -0.60% | |
0.0000006354 | -3.64% | |
0.02097 | 2.34% | |
0.1725 | 0.12% | |
0.002316 | -31.44% | |
0.0000000030020 | -0.65% | |
0.849 | -1.16% | |
0.1804 | -2.59% | |
0.0004628 | 0.04% | |
0.003929 | -0.13% | |
1.329 | 0.91% | |
0.0385 | 11.27% | |
0.002499 | 7.25% | |
0.00000000000102 | 0.00% | |
0.0082 | 12.33% | |
0.001944 | 7.11% | |
0.00199 | -2.93% | |
0.03790 | 0.80% | |
0.0003177 | -6.45% | |
0.0005 | -44.44% | |
0.0890 | -3.68% | |
0.02331 | -8.87% | |
0.0007 | -41.67% | |
0.00000000000024 | 60.00% | |
0.2379 | -2.34% | |
0.0092 | 0.00% | |
1.249 | 1.88% | |
0.00000000000244 | 5.63% | |
0.2552 | -1.69% | |
0.580 | -3.81% | |
0.0001 | 0.00% | |
0.1656 | -2.82% | |
0.000000000001618 | 6.17% | |
0.00300 | -57.08% | |
0.005850 | -50.95% | |
0.00000000000014 | 7.69% | |
1.73 | 0.58% | |
0.0310 | -3.43% | |
0.03492 | -4.17% | |
0.0945 | -0.53% | |
0.00125 | -0.79% | |
0.0000018 | -21.74% | |
0.0000164 | 0.00% | |
0.522 | -1.51% | |
0.000038 | 26.67% | |
0.00000000000090 | -2.17% | |
0.05575 | 0.00% | |
0.1941 | -0.61% | |
0.0003606 | -5.30% | |
0.04057 | 0.00% | |
0.4153 | -1.56% | |
0.0000046 | 17.95% | |
0.1301 | 9.33% | |
0.0000442 | -5.35% | |
0.000000000019 | -13.64% | |
0.00192 | -1.03% | |
0.00013044 | -0.01% | |
0.00001968 | -0.10% | |
0.02095 | -0.24% | |
0.000192770 | -0.80% | |
0.00614 | 0.00% | |
0.000043 | -25.86% | |
0.0361 | -1.63% | |
0.00000080 | 0.00% | |
0.0004 | -33.33% | |
0.000001609 | -2.84% | |
0.0001713 | 0.29% | |
0.002770 | -3.92% | |
0.000092 | 0.00% | |
1.0184 | -0.44% | |
0.00010000 | 0.00% | |
0.000000024 | -51.02% | |
0.000003725 | -0.03% | |
0.0002996 | -0.07% | |
0.0715 | -2.46% | |
0.002544 | 6.89% | |
0.00684 | 6.54% | |
0.8329 | -0.67% | |
0.000063 | 0.00% | |
0.000181566 | -5.51% | |
0.0000050 | -41.86% | |
0.0070 | -1.41% | |
0.00000057 | 1.79% | |
0.000353 | 0.00% | |
0.01511 | 0.47% | |
0.00000000001347 | -23.68% | |
0.1536 | -6.34% | |
0.0002100 | 0.00% | |
0.0005 | 0.00% | |
0.0003037 | 0.00% | |
0.002900 | 0.00% | |
0.0000301 | 49.75% | |
0.001967 | 12.72% | |
0.000000002397 | -1.48% | |
0.000000000004 | -55.56% | |
0.2640 | 0.04% | |
0.1305 | -1.21% | |
0.000054 | -1.82% | |
0.0200 | 4.17% | |
0.00113 | 0.00% | |
0.00000000003538 | -4.97% | |
1.945 | 1.57% | |
0.000018 | -25.00% | |
0.00000000021849 | -0.09% | |
0.00755 | 0.00% | |
0.0000031 | -43.64% | |
0.01140 | 0.53% | |
0.00008799 | -0.26% | |
0.0000580 | 0.52% | |
0.001120 | 0.00% | |
0.1090 | -4.64% | |
0.0243 | 1.25% | |
0.0196 | -7.55% | |
0.0000820 | -17.67% | |
0.000452 | 0.00% | |
0.3293 | -1.58% | |
0.00072 | 4.35% | |
0.2946 | 10.63% | |
0.0089 | -8.25% | |
0.0000200 | 4.17% | |
0.00008773 | 0.00% | |
0.000583 | 29.27% | |
0.00021 | -48.78% | |
0.0063 | 0.00% | |
0.00004 | 0.00% | |
0.00024 | 9.09% | |
0.000000000739 | -3.52% | |
0.000000039 | 0.00% | |
0.0006 | 0.00% | |
0.00000010 | 66.67% | |
0.001111 | 0.45% | |
0.000201 | -6.94% | |
0.0471 | -1.67% | |
0.0587 | -1.68% | |
0.0005412 | 0.67% | |
0.000691 | 3.91% | |
0.01085 | -8.67% | |
0.5384 | 1.05% | |
0.0005865 | 0.67% | |
0.00762 | -2.06% | |
0.03133 | 11.18% | |
0.00013 | 18.18% | |
0.6400 | -1.30% | |
0.989 | -1.49% | |
0.2050 | -2.75% | |
0.02565 | -3.02% | |
58.5600 | 0.00% | |
0.0001451 | 0.00% | |
0.1172 | -3.70% | |
0.0443 | -4.32% | |
0.2314 | -2.61% | |
0.0003117 | -7.15% | |
5.723 | -3.31% | |
0.02835 | -0.21% | |
0.004581 | -0.67% | |
0.0006069 | -3.65% | |
4.9106 | 5.19% | |
0.00400 | 0.00% | |
0.0009012 | 0.00% | |
0.005641 | 9.28% | |
0.0000119 | 0.00% | |
0.003302 | 2.87% | |
0.001658 | 6.28% | |
0.0294 | -3.61% | |
0.0007993 | 0.00% | |
0.002974 | -14.83% | |
0.04596 | -3.83% | |
0.2196 | 2.04% | |
0.0000579 | 0.00% | |
0.01652 | -3.05% | |
0.007252 | -2.51% | |
0.005277 | -5.85% | |
0.002189 | 2.91% | |
0.0013 | 0.00% | |
0.6528 | 0.52% | |
0.2051 | 0.05% | |
0.04440 | 4.23% | |
0.00592 | -1.17% | |
0.5009 | 3.83% | |
1.170 | -9.65% | |
0.000174 | 5.45% | |
0.0400 | 3.63% | |
0.02661 | 1.33% | |
0.000110 | 0.00% | |
0.0813 | 10.46% | |
0.00000287 | 2.14% | |
0.573 | -0.87% | |
0.00929 | 0.43% | |
3.8900 | 0.00% | |
2.50 | -5.66% | |
0.556 | -5.92% | |
0.0976 | -4.87% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
48.062 | -0.02% | |
1.514 | -15.80% | |
0.05238 | 1.08% | |
0.0615 | -5.96% | |
0.0500 | 3.95% | |
2.771 | 2.52% | |
4.780 | -0.27% | |
0.0001320 | 0.00% | |
0.06867 | -2.84% | |
0.00083 | 0.00% | |
2.260 | -1.57% | |
0.6361 | 1.16% | |
0.0668 | -4.02% | |
0.2166 | 0.00% | |
0.001097 | 0.64% | |
0.00006800 | 0.00% | |
1.271 | -9.86% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0753 | -1.44% | |
1.1371 | 0.00% | |
0.000078 | -1.27% | |
0.02170 | -1.05% | |
69.2 | 1.17% | |
0.0009 | 0.00% | |
0.4424 | 0.00% | |
0.1114 | 0.18% | |
0.000302 | -16.57% | |
0.9746 | 0.00% | |
0.0071 | 0.00% | |
0.01523 | -0.39% | |
0.000210 | 0.00% | |
11.83 | -1.00% | |
0.00759 | 2.43% | |
0.1333 | -9.44% | |
6.58 | 0.30% | |
0.659 | 1.54% | |
0.2019 | -3.77% | |
0.003819 | -1.62% | |
0.2235 | -2.70% | |
0.2377 | -0.34% | |
0.00000044 | 4.76% | |
0.1204 | 0.00% | |
2.600 | -3.77% | |
1.004 | -2.52% | |
0.004000 | 0.00% | |
4.33 | -1.14% | |
0.0023 | 0.00% | |
0.00035 | 0.00% | |
0.0000193 | 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% | |
0.00006 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.2459 | -0.41% | |
0.000509 | 10.17% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.003512 | 0.00% | |
0.00000000031 | 0.00% | |
0.0114 | -4.20% | |
9.362 | 2.44% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000007 | 40.00% | |
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% | |
0.00023474 | 0.00% | |
0.001000 | 0.00% | |
1.6799 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.000112 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0195 | 0.00% | |
0.000000000109 | 7.92% | |
0.05056 | 0.00% | |
0.00200 | 0.00% | |
0.00012 | 0.00% | |
0.000024 | 0.00% | |
0.001234 | 0.00% | |
0.0066 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.015910 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.006490 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
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% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.004390 | 0.00% | |
0.000412 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.7607 | 0.00% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000210 | 9.38% | |
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% | |
0.04490 | 1.15% | |
0.000052 | 0.00% | |
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% | |
0.000035 | 0.00% | |
1.0100 | 0.00% | |
0.010200 | 0.00% | |
0.0055 | 0.00% | |
0.88686 | 0.00% | |
0.000561 | 0.00% | |
0.01463 | 0.00% | |
0.0000081 | 3.85% | |
0.4606 | 0.00% | |
0.001800 | 0.00% | |
0.000001000 | 0.00% | |
104.52 | 0.00% | |
0.0000008 | 0.00% | |
0.00390 | 0.00% | |
0.0000194 | 0.00% | |
0.0000325 | 0.00% | |
0.00000240 | 0.00% | |
0.017330 | 0.00% | |
1.0000 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.0005 | 0.00% | |
0.1190 | 0.00% | |
0.00121 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.000001456 | 0.00% | |
0.000000005 | 0.00% | |
0.001200 | 0.00% | |
0.00072 | 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% | |
0.000067 | 0.00% | |
0.3101 | 0.00% | |
0.4450 | 0.00% | |
1.4371 | 0.00% | |
0.000265 | 0.00% | |
0.00625 | 0.00% | |
1899.00 | 0.00% | |
0.0000002930 | 0.00% | |
0.250 | 0.00% | |
0.3297 | -0.24% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.01036 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00972 | 0.00% | |
0.00538 | 0.00% | |
0.4585 | 7.50% | |
0.000000001868 | 0.00% | |
5155.00 | 0.00% | |
1.148 | -2.30% | |
0.0091 | 0.00% |