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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0.00000005 | -28.57% | |
0.00481 | -0.21% | |
17.52 | -6.41% | |
0.00725 | 6.46% | |
0.00003939 | -0.18% | |
0.08241 | -9.66% | |
0.3142 | 0.26% | |
0.4432 | -5.90% | |
0.844 | -7.46% | |
0.008064 | -0.07% | |
4.93 | -8.70% | |
0.001280 | -42.16% | |
0.00007221 | -9.73% | |
0.00000000000008 | -20.00% | |
0.0000602 | -5.79% | |
17.898 | 0.66% | |
0.0972 | -8.65% | |
0.00139 | -1.42% | |
0.18137 | -4.98% | |
0.00001216 | -2.01% | |
0.000297 | 2.41% | |
2.6896 | -0.63% | |
0.7544 | -1.13% | |
0.0879 | -1.24% | |
0.01120 | -19.94% | |
3.715 | -5.93% | |
0.000119 | 0.00% | |
0.029413 | -0.07% | |
0.0006501 | -30.83% | |
0.00002420 | 6.09% | |
0.04392 | -5.24% | |
0.00059 | 3.51% | |
0.08989 | -0.11% | |
0.4876 | 387.60% | |
0.03238 | -0.31% | |
1.7644 | 0.15% | |
0.01690 | -8.50% | |
0.1129 | -0.79% | |
0.00287 | 0.00% | |
0.000772 | -5.04% | |
0.005310 | -5.31% | |
0.007125 | 3.73% | |
0.00000006961 | -18.20% | |
0.005996 | -1.87% | |
0.03474 | -6.56% | |
0.00990 | -6.95% | |
0.05058 | -0.92% | |
0.3935 | -8.36% | |
0.004654 | -22.23% | |
5.016 | -12.83% | |
0.0782 | -0.13% | |
0.06304 | -1.25% | |
0.3929 | -7.36% | |
0.000845 | -0.59% | |
0.065131 | -2.60% | |
0.002499 | -9.33% | |
0.0010762 | -7.84% | |
0.0000000393 | -15.12% | |
0.000000001497 | 0.00% | |
0.0550 | -13.25% | |
0.001151 | -17.31% | |
0.0839 | -8.31% | |
28.26 | -10.23% | |
254.3 | -4.76% | |
21.77 | -10.19% | |
19.8441 | 4.86% | |
0.00853 | -1.84% | |
0.01161 | -9.93% | |
2075.26 | -3.60% | |
0.05082 | -3.97% | |
0.002257 | -13.46% | |
1.1146 | -25.26% | |
1.0479 | -10.55% | |
0.2920 | -11.76% | |
0.004999 | 1.98% | |
11.41 | -7.31% | |
0.0000579 | -4.14% | |
0.000373 | -1.32% | |
5.313 | -7.86% | |
0.2135 | -1.29% | |
0.0683 | 12.34% | |
0.04187 | -9.14% | |
0.951 | -9.51% | |
0.003037 | -0.82% | |
0.2249 | -6.91% | |
0.004851 | 7.97% | |
0.1959 | -11.80% | |
0.000000486 | -14.74% | |
0.00339437 | -10.37% | |
0.002117 | -1.17% | |
0.0003153 | -1.07% | |
0.00239 | -2.85% | |
0.000386 | -1.03% | |
0.001434 | -11.21% | |
0.0002390 | 6.70% | |
0.3488 | -5.01% | |
0.00003378 | -14.42% | |
0.505 | -9.82% | |
0.00000014853 | -8.68% | |
0.1188 | -9.73% | |
0.01464 | -0.41% | |
0.000702 | -0.99% | |
0.0002264 | -7.44% | |
1.1180 | -13.20% | |
0.02401 | -9.12% | |
0.2381 | -47.07% | |
4.567 | -6.03% | |
0.1839 | 2.79% | |
0.01099 | -13.26% | |
0.001605 | -13.29% | |
0.00000001920 | 34.55% | |
0.0006421 | -8.34% | |
0.3427 | -14.37% | |
0.001730 | -4.89% | |
0.560 | -12.23% | |
6.773 | -6.20% | |
0.00001861 | -26.09% | |
0.01284 | 5.25% | |
0.6927 | -6.85% | |
0.000791 | -9.08% | |
0.00125 | 4.17% | |
1421 | -0.77% | |
0.002799 | -6.61% | |
0.823 | -8.76% | |
0.00453 | -8.11% | |
0.01055 | -3.92% | |
0.0118 | -3.28% | |
0.01728 | -19.93% | |
0.00006264 | -5.42% | |
0.000000000243 | -3.19% | |
0.003164 | -8.48% | |
0.3807 | -5.46% | |
0.0879 | 59.82% | |
0.00600 | -65.14% | |
0.0000168 | -29.11% | |
0.01409 | -3.89% | |
175.25 | -5.21% | |
9.801 | 2.78% | |
0.0000016876 | -0.92% | |
2.318 | -9.42% | |
0.1621 | -8.00% | |
0.00566 | -8.41% | |
0.01354 | -4.58% | |
0.0002351 | -17.28% | |
0.0003862 | -11.18% | |
0.0004042 | -7.76% | |
0.013782 | 1.08% | |
0.02033 | 5.45% | |
0.000304 | -6.75% | |
0.002972 | -8.64% | |
0.003214 | -10.07% | |
0.0005090 | -12.71% | |
0.0061 | -1.61% | |
0.05522 | -6.17% | |
0.5090 | -6.54% | |
0.0440 | -7.37% | |
0.011374 | -12.84% | |
0.03233 | -6.75% | |
6.84 | -9.52% | |
1.873 | -5.88% | |
0.000095 | -14.41% | |
0.6853 | -3.07% | |
0.001218 | -4.02% | |
0.2563 | -8.07% | |
0.01821 | -11.39% | |
0.000002357 | 6.17% | |
0.00000730 | -11.19% | |
1.6363 | 7.40% | |
0.01188 | -0.17% | |
0.59139 | -9.73% | |
0.00002685 | -9.93% | |
0.0000000903 | -12.07% | |
18.85 | -10.11% | |
0.85294 | -0.19% | |
0.1966 | -7.57% | |
0.00000001215 | -6.18% | |
0.2581 | 0.12% | |
0.0042 | 0.00% | |
0.1774 | -1.99% | |
7.09 | -4.58% | |
0.000844 | -17.25% | |
0.002842 | -1.11% | |
0.003606 | -7.06% | |
0.5408 | -9.14% | |
0.848 | -7.42% | |
0.03728 | -2.87% | |
0.00004615 | -8.16% | |
0.000727 | -0.14% | |
0.0862 | -8.88% | |
155.32 | -7.17% | |
0.02807 | -10.03% | |
0.00182 | -48.73% | |
0.000208 | -7.56% | |
0.0004920 | -6.02% | |
0.001650 | -9.24% | |
0.00870 | -0.68% | |
0.7179 | -1.81% | |
0.1155 | -5.09% | |
0.004570 | 27.48% | |
0.012145 | -2.06% | |
0.3407 | -8.39% | |
9.54 | -8.18% | |
0.3681 | -5.06% | |
0.00000000009702 | -7.29% | |
0.6727 | -9.91% | |
0.04312 | 6.68% | |
0.002245 | -12.65% | |
0.002297 | -14.64% | |
0.0719 | -8.41% | |
0.005107 | -3.79% | |
0.0000021 | -12.50% | |
2.8184 | -6.66% | |
0.0359 | -10.25% | |
0.1363 | -8.83% | |
0.02010 | -7.37% | |
0.002452 | -2.27% | |
0.000964 | -26.07% | |
0.0254 | 8.09% | |
0.336 | -8.20% | |
0.000000000001803 | -0.06% | |
0.0983 | -9.32% | |
0.12279 | -9.99% | |
0.00841 | -14.10% | |
0.1365 | -12.95% | |
0.0029 | 0.00% | |
0.0100 | -13.79% | |
0.004235 | -13.85% | |
0.0496 | -11.74% | |
1.839 | -16.67% | |
0.0000000001938 | -8.46% | |
2.182 | -1.67% | |
0.0000000639 | -1.69% | |
0.255 | -8.60% | |
0.05557 | -5.32% | |
6.4178 | -2.82% | |
0.002964 | 27.32% | |
0.06050 | -3.60% | |
0.2808 | -5.84% | |
0.000538 | -11.37% | |
0.0000002677 | -8.38% | |
73.04 | -9.74% | |
0.07130 | -22.54% | |
0.03376 | -12.33% | |
0.5026 | -3.03% | |
0.001875 | -9.64% | |
0.00009674 | -9.56% | |
0.0002699 | -6.58% | |
0.000352 | -8.09% | |
2.068 | -6.26% | |
0.011991 | -0.04% | |
0.0397 | -7.03% | |
0.0505 | -10.14% | |
0.00081 | -32.50% | |
0.005695 | -10.23% | |
0.0799 | 109.16% | |
0.0000480 | -5.14% | |
0.002571 | -1.53% | |
0.03726 | -18.33% | |
0.00650 | -6.07% | |
0.600 | -9.37% | |
0.0317 | -6.49% | |
0.00009408 | -5.96% | |
0.0315 | -11.27% | |
6.0449 | -9.42% | |
0.1144 | 4.95% | |
3102.87 | 0.43% | |
16.87 | -6.49% | |
0.586 | -5.33% | |
0.0666 | -9.14% | |
0.0156 | 48.57% | |
0.001824 | -31.07% | |
0.1299 | -7.35% | |
0.01293 | -16.74% | |
0.00000423 | -4.30% | |
0.011492 | -7.33% | |
0.0949 | -3.85% | |
0.0773 | -4.45% | |
0.000986 | -4.55% | |
0.0646 | -3.29% | |
0.00000001316 | 0.53% | |
0.04779 | -9.68% | |
0.00092 | -8.00% | |
0.1504 | -6.70% | |
0.000001407 | -12.93% | |
0.000856 | -10.37% | |
0.000000105 | 2.94% | |
0.7623 | 0.00% | |
0.02538 | -0.08% | |
0.018952 | -2.07% | |
17.20 | -5.18% | |
0.05389 | -7.07% | |
0.2845 | -8.37% | |
0.0000193 | -17.87% | |
0.00995 | -7.36% | |
0.0093 | -2.11% | |
0.0003220 | 0.00% | |
0.0002031 | 0.99% | |
0.2192 | -15.92% | |
0.00000028980 | 272.35% | |
0.0648 | -6.90% | |
0.2673 | -5.88% | |
0.7158 | -6.22% | |
0.04871 | -8.89% | |
0.003637 | -6.53% | |
0.006262 | -2.60% | |
0.001066 | -16.72% | |
22.973 | -2.73% | |
0.0233 | -14.65% | |
0.04289 | -4.50% | |
0.000940 | -23.52% | |
0.003051 | -13.05% | |
0.000001570 | -3.03% | |
0.5787 | -8.94% | |
0.00232 | -11.11% | |
2.735 | -6.75% | |
0.0000092 | 9.52% | |
0.0051065 | 0.14% | |
0.05407 | -10.03% | |
0.001722 | -6.41% | |
0.004973 | -1.95% | |
0.001174 | -6.97% | |
0.003240 | -16.45% | |
0.01555 | -12.15% | |
0.000298 | 18.25% | |
0.587 | -9.13% | |
0.0139 | -16.77% | |
0.003002 | -22.43% | |
0.00002063 | -8.72% | |
0.8339 | -1.26% | |
0.00146 | 44.55% | |
0.01683 | -8.38% | |
0.002700 | -6.51% | |
0.002197 | -16.34% | |
0.00812 | -22.00% | |
0.000000000743 | 7.84% | |
17.12 | -8.40% | |
0.000174 | -6.45% | |
0.2593 | -6.46% | |
0.1455 | -1.22% | |
0.25856 | -4.18% | |
0.0921 | -11.19% | |
0.003702 | -2.94% | |
0.01490 | -10.94% | |
0.0006165 | -8.46% | |
0.5235 | -1.25% | |
0.02366 | -4.40% | |
0.00013956 | -12.78% | |
0.01873 | -5.16% | |
0.0009 | 0.00% | |
0.2149 | -3.85% | |
0.006189 | -0.74% | |
0.1908 | -0.63% | |
3.171 | -6.74% | |
0.2011 | -6.07% | |
0.0023 | -8.00% | |
0.0054 | -16.92% | |
0.0000498 | -3.86% | |
0.00209 | -5.43% | |
0.01626 | -0.73% | |
0.000203037 | -3.22% | |
0.0006330 | -11.36% | |
0.000828 | -1.55% | |
0.0006148 | -6.34% | |
0.0172 | -12.69% | |
0.0000000763 | -4.51% | |
0.0463 | -6.84% | |
0.2734 | -20.85% | |
0.001001 | -4.12% | |
0.744 | -4.98% | |
0.424 | -12.40% | |
0.0004198 | -1.96% | |
0.0164 | -9.89% | |
0.3599 | -6.42% | |
0.721 | -9.19% | |
0.1871 | -4.74% | |
0.000098 | 3.16% | |
1.148 | -8.01% | |
0.0340 | -8.36% | |
0.628 | -9.12% | |
0.1715 | -9.40% | |
0.00002354 | -3.72% | |
0.01617 | -10.91% | |
0.00275 | 14.58% | |
0.01338 | -14.50% | |
0.6999 | 1.88% | |
8.64 | -3.25% | |
0.000091 | 1.11% | |
0.966 | -6.21% | |
0.00000000000097 | 7.78% | |
0.0000700 | -6.54% | |
0.1332 | -8.95% | |
0.0007433 | -21.44% | |
0.003129 | -9.67% | |
0.1078 | -2.53% | |
0.00000000194 | 68.70% | |
0.0320 | -10.86% | |
0.2153 | -3.93% | |
0.0004005 | -7.93% | |
0.003988 | -4.98% | |
0.0820 | -7.87% | |
0.00761 | -11.92% | |
7.25 | -9.49% | |
0.0099 | -1.00% | |
1.069 | -2.20% | |
0.5062 | -3.64% | |
1.5218 | -6.14% | |
1.557 | -6.20% | |
0.0000000153 | -14.53% | |
0.0626 | -6.43% | |
0.00607 | -1.62% | |
1.271 | -4.51% | |
0.0558 | -3.29% | |
0.001825 | -12.05% | |
0.02841 | 7.21% | |
1.267 | -9.44% | |
0.0006810 | -6.28% | |
17.01 | -7.90% | |
0.05297 | 7.97% | |
0.687 | -5.63% | |
0.1253 | -10.24% | |
0.0609 | 3.57% | |
0.0454 | -10.63% | |
0.00000003423 | -8.45% | |
0.001393 | -10.01% | |
0.0000086 | -1.15% | |
0.0000224 | -24.07% | |
0.1178 | -9.31% | |
0.0933 | -9.68% | |
13.37 | -7.73% | |
0.1383 | -8.23% | |
0.00196 | -12.11% | |
0.000024 | 14.29% | |
0.2991 | -6.76% | |
0.3870 | -8.25% | |
72.3 | -4.87% | |
0.02981 | -16.78% | |
0.002891 | 0.42% | |
0.1032 | -6.86% | |
0.07148 | -7.00% | |
0.0003703 | -28.91% | |
0.0112 | 0.00% | |
0.003963 | -0.35% | |
0.1034 | -6.09% | |
0.00000015670 | -55.23% | |
0.1328 | 2.08% | |
0.1195 | -7.22% | |
0.0001598 | 3.56% | |
0.0096 | -12.73% | |
0.1964 | -6.92% | |
0.006547 | -7.40% | |
0.004046 | -4.73% | |
0.00000717 | 0.42% | |
0.0641 | -7.24% | |
0.003535 | -2.27% | |
0.01185 | -7.57% | |
0.0000000000000148 | -6.33% | |
0.01664 | -10.83% | |
0.000000516 | -0.39% | |
1.398 | -8.15% | |
0.1062 | -7.49% | |
0.0841 | -6.24% | |
0.0853 | -9.16% | |
0.470 | -12.31% | |
0.02934 | -5.17% | |
0.004545 | -1.69% | |
0.00000831 | 0.00% | |
1.4253 | -6.65% | |
0.004025 | 0.00% | |
0.00702 | -3.17% | |
0.0557 | -4.62% | |
0.0000002325 | -3.69% | |
0.000000002136 | -1.79% | |
0.0000087 | 210.71% | |
0.0112 | -1.75% | |
0.0004217 | -5.00% | |
0.003390 | 8.97% | |
0.000042 | -27.59% | |
0.003069 | 3.68% | |
0.000000000069 | 130.00% | |
0.3517 | -5.99% | |
0.0003205 | -15.75% | |
0.01189 | -17.77% | |
0.0555 | -2.29% | |
0.00856 | -0.70% | |
0.0003921 | -1.56% | |
0.000000000004689 | -0.21% | |
0.0021428 | -3.72% | |
0.01074 | -5.46% | |
0.000662 | -9.32% | |
0.00000000001383 | -16.03% | |
0.2700 | -5.76% | |
0.750 | 0.00% | |
0.01977 | -12.06% | |
0.07944 | -2.00% | |
0.00000000000190 | -10.38% | |
0.9017 | -4.33% | |
0.09974 | -11.18% | |
0.1208 | -6.07% | |
0.006700 | 0.00% | |
0.00002 | -33.33% | |
0.000704 | 36.96% | |
0.2076 | -5.55% | |
0.004000 | -33.33% | |
0.00804 | -7.05% | |
0.0786 | -6.09% | |
0.0928 | -8.84% | |
0.0833 | -12.04% | |
0.00000000000019 | -13.64% | |
0.001958 | -3.17% | |
0.000427 | 0.00% | |
0.0079 | -8.14% | |
0.0785 | -9.14% | |
0.003592 | -7.02% | |
0.000602 | -39.56% | |
0.0005696 | -11.83% | |
0.001089 | -6.92% | |
0.01000 | 0.70% | |
0.1733 | -9.65% | |
0.1072 | -4.46% | |
0.01309 | -11.79% | |
0.00030 | -14.29% | |
0.000060 | -13.04% | |
5.997 | -7.28% | |
0.000349 | 0.29% | |
0.00003075 | -24.80% | |
0.1558 | -7.97% | |
0.016698 | -9.34% | |
0.0000503 | -37.90% | |
0.5376 | -5.92% | |
0.01227 | -7.12% | |
0.00000000000014 | 0.00% | |
0.0708 | -8.17% | |
0.0643 | -21.30% | |
0.0000625 | -7.68% | |
0.0000085 | 7.59% | |
0.1391 | -2.59% | |
0.4167 | -8.42% | |
0.001120 | -4.27% | |
0.00000385 | -3.99% | |
0.0000010 | 0.00% | |
0.03671 | -5.24% | |
0.01379 | -5.42% | |
0.004376 | -13.65% | |
0.001014 | -11.29% | |
0.000000000005 | 25.00% | |
0.004179 | -2.95% | |
0.0000119 | 0.00% | |
0.4820 | 0.00% | |
31.0000 | 0.00% | |
0.008819 | 10.24% | |
2.143 | -6.17% | |
0.00004419 | -12.81% | |
0.002000 | -0.65% | |
0.000797 | -18.34% | |
0.0098 | -1.01% | |
1.339 | -11.09% | |
0.003504 | -13.82% | |
0.000121 | -52.73% | |
0.00008 | -11.11% | |
0.00008969 | -0.31% | |
0.000000001756 | -4.20% | |
0.2082 | -0.10% | |
0.2357 | -9.83% | |
0.002283 | -0.52% | |
0.000012 | 50.00% | |
0.000002400 | -25.47% | |
18.1500 | -5.69% | |
0.02620 | -6.93% | |
0.008231 | 0.00% | |
0.00004 | 0.00% | |
0.003768 | -14.25% | |
0.001882 | -18.77% | |
0.1847 | -11.24% | |
0.00023 | -4.17% | |
0.05804 | 0.00% | |
0.00170 | -22.73% | |
0.01847 | -8.79% | |
0.02932 | -2.59% | |
0.0003 | -40.00% | |
0.00012 | -7.69% | |
0.401 | -4.75% | |
0.002475 | 0.08% | |
0.00000011 | 0.00% | |
1.314 | -5.74% | |
0.000000000120 | 0.84% | |
0.00000298 | -4.79% | |
0.000037 | -35.09% | |
0.0345 | -11.08% | |
0.0003 | 0.00% | |
0.00011 | 0.00% | |
48.858 | -2.42% | |
14.07 | -7.37% | |
0.01194 | -6.57% | |
0.000059 | -4.84% | |
0.000002050 | -26.65% | |
0.001302 | -13.95% | |
0.766 | -15.17% | |
0.4705 | -5.64% | |
0.0543 | -7.18% | |
0.001221 | -16.02% | |
0.000020 | -9.09% | |
0.0000211 | -29.90% | |
0.00000052 | -10.34% | |
2.272 | -4.09% | |
0.0006545 | -3.39% | |
0.01068 | -18.97% | |
0.1057 | -13.29% | |
0.0443 | -2.21% | |
0.000555 | 13.50% | |
0.0001702 | 21.40% | |
8.9431 | -0.02% | |
0.004440 | 0.00% | |
0.0551 | -6.77% | |
0.000007 | 16.67% | |
0.000000000017 | 6.25% | |
0.0405 | -7.11% | |
0.03181 | -5.10% | |
0.00447 | -3.04% | |
0.00000000015708 | -28.36% | |
0.000026 | -10.34% | |
0.00385 | -45.00% | |
0.003012 | -11.20% | |
0.00000000000040 | 5.26% | |
0.0000000481 | -7.14% | |
0.002282 | -10.89% | |
0.0000000030210 | 0.02% | |
0.00006 | 20.00% | |
0.002563 | 0.00% | |
0.0000007 | -41.67% | |
0.00000000000284 | 0.35% | |
0.000092 | 0.00% | |
0.0000442 | 0.00% | |
0.002041 | 1.34% | |
0.0000100 | 0.00% | |
0.0115 | 0.00% | |
0.002478 | -11.02% | |
0.03786 | 1.09% | |
0.00000000000102 | -10.53% | |
0.000100 | -50.25% | |
0.1402 | -4.30% | |
2.776 | -7.65% | |
0.002478 | -11.06% | |
0.00000000001605 | -0.06% | |
2.45 | -5.77% | |
0.00000000003581 | -1.46% | |
0.1589 | -7.83% | |
0.00000000001151 | 8.58% | |
0.00000000001935 | -35.71% | |
0.00005 | 66.67% | |
0.00022 | -8.33% | |
0.0000000000000171 | 0.59% | |
0.0730 | -9.20% | |
0.03430 | -0.72% | |
0.00006 | -14.29% | |
0.000119 | 10.19% | |
0.000000002369 | -0.38% | |
3.03 | -10.88% | |
0.0027 | 0.00% | |
0.2011 | -5.98% | |
0.001171 | 0.00% | |
0.0014 | 0.00% | |
0.0107 | 48.61% | |
0.000000038 | 0.00% | |
0.8619 | 4.43% | |
0.000632 | 1.94% | |
0.0000055 | -9.84% | |
0.0000037 | -2.63% | |
0.00004398 | 29.39% | |
1.1726 | -8.71% | |
0.01575 | -5.91% | |
0.09822 | -7.63% | |
0.1305 | -4.33% | |
0.00752 | -5.17% | |
0.03448 | -7.06% | |
0.0000651 | 0.00% | |
0.002342 | 12.00% | |
0.2256 | -13.20% | |
58.5600 | 0.00% | |
0.0001450 | -5.10% | |
0.001640 | -4.15% | |
0.0005110 | 1.79% | |
0.0876 | -10.52% | |
0.0009012 | 0.00% | |
0.00600 | 0.00% | |
0.0007993 | 0.00% | |
6.176 | 2.44% | |
0.0000329 | 0.00% | |
0.04722 | -5.95% | |
0.2253 | 2.69% | |
0.0000670 | -0.74% | |
0.000025 | 0.00% | |
0.0012 | 0.00% | |
1899.00 | 0.00% | |
0.001082 | -9.61% | |
0.5614 | -8.67% | |
0.001228 | -7.39% | |
0.02910 | -2.15% | |
0.00384 | -5.42% | |
0.00991 | -9.58% | |
2.5129 | 0.00% | |
1.000000 | 0.00% | |
0.1799 | -6.20% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.000000000000844 | -6.84% | |
1.828 | -1.51% | |
0.0542 | -5.08% | |
2.963 | -5.55% | |
0.000000100 | 0.00% | |
0.0001030 | 0.00% | |
0.1412 | -8.37% | |
0.00530 | -3.64% | |
0.00103 | 0.00% | |
0.666 | -8.52% | |
0.6801 | -4.21% | |
0.0700 | 0.00% | |
0.0833 | -9.26% | |
0.001144 | -1.21% | |
0.00000080 | -13.04% | |
0.1396 | -7.61% | |
0.01938 | 1.68% | |
0.000216 | 0.00% | |
0.00000000000651 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
1.1371 | 0.00% | |
0.000078 | -1.27% | |
0.4424 | 0.00% | |
0.000387 | -1.28% | |
0.0071 | 0.00% | |
0.01624 | -3.45% | |
0.000210 | 0.00% | |
0.0711 | -7.30% | |
0.0241 | -9.06% | |
0.0435 | -5.84% | |
0.2888 | -12.85% | |
0.000452 | 0.00% | |
0.0272 | 0.00% | |
0.230000 | 0.00% | |
0.000188220 | 2.06% | |
0.00000041 | -2.38% | |
0.1204 | 0.00% | |
2.733 | 3.25% | |
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% | |
0.000024 | -7.69% | |
0.00005 | 0.00% | |
0.00006187 | 0.00% | |
0.000122 | 0.00% | |
0.001405 | 0.00% | |
0.2473 | 0.45% | |
0.000902 | 0.00% | |
0.0245 | 5.60% | |
0.000000000774 | 0.91% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00009300 | 0.00% | |
0.000454 | 1.11% | |
0.00000000052 | -8.77% | |
9.799 | 0.50% | |
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% | |
0.0000000045 | 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% | |
0.00000000000366 | -12.44% | |
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% | |
0.0000240 | 0.42% | |
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% | |
0.0070 | -2.78% | |
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% | |
0.0000000203 | -1.93% | |
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% | |
0.0550 | -21.43% | |
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% | |
0.00294 | -0.68% | |
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% | |
0.000001590 | -2.09% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
100.71 | 0.00% | |
0.0000008 | 0.00% | |
1.3480 | 2.36% | |
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% | |
0.000000000418 | 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% | |
0.0000336 | -2.04% | |
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% | |
0.7997 | 0.00% | |
0.000000000129 | 0.00% | |
0.000426832 | 0.00% | |
0.00002801 | -0.14% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.00648 | -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% | |
0.000198 | -1.00% | |
0.0000263 | -1.13% | |
0.00625 | 0.00% | |
0.0000002725 | 0.00% | |
0.250 | 0.00% | |
0.3511 | -8.26% | |
0.786 | -5.07% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.000000000737 | -2.12% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02744 | -6.32% | |
0.4390 | 1.83% | |
0.325 | -10.71% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
1.389 | -7.52% | |
0.0091 | 0.00% | |
0.523 | 0.97% |