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 .
Glossari popolari
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0.00000005 | -70.59% | |
0.00481 | 0.42% | |
17.72 | -5.34% | |
0.00724 | -13.71% | |
0.00003942 | -0.10% | |
0.08299 | -8.66% | |
0.3132 | -0.32% | |
0.4447 | -6.32% | |
0.849 | -6.91% | |
0.008066 | -0.30% | |
4.92 | -9.23% | |
0.001282 | -42.46% | |
0.00007241 | -9.48% | |
0.00000000000010 | -37.50% | |
0.0000615 | -3.91% | |
17.895 | -0.47% | |
0.0970 | -9.26% | |
0.00141 | 0.71% | |
0.18447 | -3.67% | |
0.00001208 | -2.82% | |
0.000266 | -8.28% | |
2.6776 | -1.30% | |
0.7643 | 0.41% | |
0.0879 | -1.24% | |
0.01130 | -19.29% | |
3.739 | -5.46% | |
0.000119 | 0.00% | |
0.029449 | -2.18% | |
0.0006502 | -30.82% | |
0.00002419 | 2.28% | |
0.04404 | -5.07% | |
0.00059 | 3.51% | |
0.09000 | 0.01% | |
0.4876 | 387.60% | |
0.03240 | -12.41% | |
1.7628 | -0.01% | |
0.01685 | -9.26% | |
0.1133 | -1.05% | |
0.00287 | 1.77% | |
0.000770 | -5.29% | |
0.005300 | -5.93% | |
0.007125 | 3.73% | |
0.00000006971 | -15.35% | |
0.006011 | -2.04% | |
0.03507 | -5.04% | |
0.01010 | -3.72% | |
0.05098 | -1.45% | |
0.3953 | -13.82% | |
0.004628 | -22.38% | |
5.035 | -12.34% | |
0.0782 | -0.38% | |
0.06315 | -2.64% | |
0.3969 | -6.41% | |
0.000845 | -0.82% | |
0.065013 | -2.98% | |
0.002495 | -7.08% | |
0.0011147 | -6.47% | |
0.0000000396 | -14.47% | |
0.000000001497 | 0.00% | |
0.0558 | -11.71% | |
0.001163 | -28.25% | |
0.0857 | -6.03% | |
28.30 | -10.10% | |
253.3 | -5.02% | |
22.04 | -11.20% | |
19.7241 | -1.75% | |
0.00846 | -4.19% | |
0.01166 | -9.75% | |
2075.26 | -3.60% | |
0.05159 | -4.94% | |
0.002263 | -13.72% | |
1.1454 | -23.17% | |
1.0470 | -11.38% | |
0.3005 | -8.94% | |
0.004994 | 1.22% | |
11.43 | -7.60% | |
0.0000579 | -4.61% | |
0.000374 | -0.80% | |
5.287 | -8.67% | |
0.2135 | -1.29% | |
0.0714 | 20.61% | |
0.04240 | -7.81% | |
0.954 | -9.57% | |
0.002981 | -2.26% | |
0.2248 | -7.15% | |
0.005081 | 12.34% | |
0.1974 | -17.75% | |
0.000000486 | -14.74% | |
0.00344128 | -9.43% | |
0.002142 | 0.00% | |
0.0003151 | -2.11% | |
0.00239 | -2.85% | |
0.000374 | -4.59% | |
0.001436 | -11.52% | |
0.0002392 | -13.93% | |
0.3603 | 0.03% | |
0.00003307 | -15.10% | |
0.508 | -9.61% | |
0.00000014894 | -7.96% | |
0.1199 | -8.89% | |
0.01463 | -0.27% | |
0.000708 | -0.14% | |
0.0002328 | -7.80% | |
1.1330 | -12.30% | |
0.02409 | -9.33% | |
0.2074 | -56.95% | |
4.575 | -5.86% | |
0.1780 | 4.22% | |
0.01118 | -7.76% | |
0.001631 | -12.08% | |
0.00000001871 | 31.30% | |
0.0006422 | -7.99% | |
0.3480 | -13.13% | |
0.001732 | -5.72% | |
0.554 | -8.43% | |
6.778 | -5.95% | |
0.00001865 | -25.67% | |
0.01286 | 3.88% | |
0.6957 | -6.95% | |
0.000825 | -5.17% | |
0.00125 | 4.17% | |
1417 | -1.12% | |
0.002858 | -1.62% | |
0.823 | -9.36% | |
0.00448 | -10.40% | |
0.01058 | -3.64% | |
0.0092 | -11.54% | |
0.01737 | -20.10% | |
0.00006269 | -6.24% | |
0.000000000243 | -3.19% | |
0.003158 | -8.89% | |
0.3735 | -7.50% | |
0.0879 | 46.50% | |
0.00600 | -65.14% | |
0.0000168 | -28.21% | |
0.01436 | -2.84% | |
174.70 | -5.38% | |
9.922 | 1.18% | |
0.0000016875 | -1.88% | |
2.325 | -8.28% | |
0.1621 | -8.52% | |
0.00568 | -8.83% | |
0.01353 | -5.91% | |
0.0002362 | -17.47% | |
0.0003814 | -11.03% | |
0.0004045 | -8.13% | |
0.013777 | 1.04% | |
0.02019 | 4.94% | |
0.000299 | -8.28% | |
0.002869 | -12.18% | |
0.003262 | -8.76% | |
0.0005268 | -8.83% | |
0.0061 | -1.61% | |
0.05522 | -6.36% | |
0.5118 | -7.05% | |
0.0444 | -7.11% | |
0.011364 | -13.12% | |
0.03217 | -8.01% | |
6.87 | -9.61% | |
1.881 | -7.07% | |
0.000099 | -10.81% | |
0.6862 | -2.94% | |
0.001219 | -4.32% | |
0.2577 | -7.83% | |
0.01831 | -10.46% | |
0.000002344 | 5.40% | |
0.00000735 | -11.66% | |
1.6300 | 8.35% | |
0.01190 | -0.08% | |
0.60293 | -7.90% | |
0.00002822 | -6.03% | |
0.0000000898 | -13.15% | |
18.78 | -9.58% | |
0.85460 | -0.04% | |
0.1976 | -7.53% | |
0.00000001223 | -5.71% | |
0.2581 | -0.46% | |
0.0042 | 0.00% | |
0.1783 | -2.78% | |
7.07 | -5.61% | |
0.000846 | -17.46% | |
0.002857 | -1.38% | |
0.003606 | -8.57% | |
0.5457 | -9.25% | |
0.850 | -7.81% | |
0.03751 | -2.50% | |
0.00004549 | -10.06% | |
0.000796 | 5.99% | |
0.0868 | -8.34% | |
155.26 | -8.01% | |
0.02803 | -10.45% | |
0.00182 | -48.88% | |
0.000204 | -6.85% | |
0.0004917 | -10.65% | |
0.001657 | -9.06% | |
0.00900 | 2.74% | |
0.7179 | -1.75% | |
0.1156 | -5.71% | |
0.005115 | 42.28% | |
0.013000 | 4.84% | |
0.3396 | -9.78% | |
9.54 | -8.71% | |
0.3681 | -5.06% | |
0.00000000009680 | -9.24% | |
0.6815 | -9.00% | |
0.04287 | 6.01% | |
0.001881 | -26.75% | |
0.002306 | -12.85% | |
0.0715 | -9.49% | |
0.005147 | 0.04% | |
0.0000021 | -8.70% | |
2.7999 | -7.39% | |
0.0359 | -11.79% | |
0.1370 | -9.15% | |
0.02004 | -7.99% | |
0.002452 | -6.91% | |
0.000941 | -28.33% | |
0.0236 | -0.84% | |
0.337 | -7.92% | |
0.000000000001803 | 0.17% | |
0.0982 | -9.66% | |
0.12212 | -10.71% | |
0.00836 | -14.43% | |
0.1366 | -12.66% | |
0.0029 | -3.33% | |
0.0100 | -13.79% | |
0.004319 | -12.18% | |
0.0496 | -11.74% | |
1.771 | -20.26% | |
0.0000000001944 | -8.52% | |
2.183 | -1.89% | |
0.0000000639 | -1.69% | |
0.256 | -9.22% | |
0.05557 | -5.36% | |
6.4081 | -3.60% | |
0.002696 | 15.81% | |
0.06053 | -3.89% | |
0.2841 | -4.98% | |
0.000537 | -9.90% | |
0.0000002680 | -8.47% | |
72.80 | -10.01% | |
0.07130 | -22.54% | |
0.03366 | -13.07% | |
0.5025 | -3.37% | |
0.001881 | -9.39% | |
0.00009674 | -8.74% | |
0.0002689 | -6.57% | |
0.000352 | -9.04% | |
2.072 | -6.88% | |
0.011991 | -0.04% | |
0.0402 | -6.94% | |
0.0504 | -11.11% | |
0.00081 | -32.50% | |
0.005877 | -8.40% | |
0.0799 | 109.16% | |
0.0000480 | -5.14% | |
0.002571 | -1.53% | |
0.03766 | -16.63% | |
0.00654 | -6.44% | |
0.600 | -9.91% | |
0.0317 | -6.76% | |
0.00009506 | -6.24% | |
0.0315 | -11.76% | |
6.0545 | -10.13% | |
0.1147 | 5.04% | |
3102.96 | 1.74% | |
16.87 | -6.23% | |
0.586 | -5.94% | |
0.0666 | -10.36% | |
0.0148 | 29.82% | |
0.001867 | -29.33% | |
0.1302 | -8.82% | |
0.01314 | -15.98% | |
0.00000423 | -4.30% | |
0.011774 | -5.96% | |
0.0934 | -5.66% | |
0.0776 | -4.43% | |
0.000996 | -3.77% | |
0.0646 | -3.29% | |
0.00000001313 | 0.46% | |
0.04771 | -9.62% | |
0.00093 | -6.06% | |
0.1501 | -7.80% | |
0.000001422 | -13.40% | |
0.000855 | -10.56% | |
0.000000105 | -3.67% | |
0.7620 | -0.04% | |
0.02642 | 4.02% | |
0.018952 | -2.63% | |
17.22 | -5.18% | |
0.05401 | -8.08% | |
0.2854 | -8.29% | |
0.0000193 | -17.87% | |
0.00993 | -8.14% | |
0.0095 | 0.00% | |
0.0003220 | 0.00% | |
0.0002031 | 32.57% | |
0.2106 | -18.31% | |
0.00000028980 | 272.35% | |
0.0648 | -6.36% | |
0.2679 | -5.83% | |
0.7148 | -6.43% | |
0.04871 | -8.61% | |
0.003637 | -7.03% | |
0.005907 | -7.33% | |
0.001100 | -11.72% | |
23.016 | -2.79% | |
0.0241 | -12.04% | |
0.04312 | -2.16% | |
0.000940 | -22.70% | |
0.003052 | -13.00% | |
0.000001592 | -1.67% | |
0.5767 | -10.28% | |
0.00233 | -11.07% | |
2.768 | -5.59% | |
0.0000087 | 2.35% | |
0.0051051 | 0.05% | |
0.05428 | -10.41% | |
0.001719 | -6.73% | |
0.004973 | -2.66% | |
0.001180 | -6.79% | |
0.003222 | -16.64% | |
0.01574 | -11.62% | |
0.000291 | 11.07% | |
0.584 | -10.15% | |
0.0139 | -16.77% | |
0.002993 | -20.88% | |
0.00002067 | -8.66% | |
0.8344 | -1.51% | |
0.00146 | -2.01% | |
0.01693 | -8.24% | |
0.002700 | 1.85% | |
0.002217 | -14.53% | |
0.00828 | -20.54% | |
0.000000000704 | 2.33% | |
17.04 | -8.93% | |
0.000175 | -6.91% | |
0.2612 | -5.94% | |
0.1443 | -1.97% | |
0.25895 | -4.54% | |
0.0927 | -9.91% | |
0.003707 | -2.06% | |
0.01497 | -11.00% | |
0.0006182 | -8.47% | |
0.5235 | -1.25% | |
0.02372 | -4.39% | |
0.00013956 | -12.78% | |
0.01868 | -5.61% | |
0.0009 | 0.00% | |
0.2138 | -4.68% | |
0.005276 | -15.12% | |
0.1909 | -0.78% | |
3.179 | -7.13% | |
0.2020 | -5.70% | |
0.0023 | -8.00% | |
0.0054 | -15.63% | |
0.0000499 | 1.84% | |
0.00208 | -4.59% | |
0.01626 | -0.73% | |
0.000203037 | -3.22% | |
0.0006344 | -11.25% | |
0.000828 | 0.36% | |
0.0006145 | -6.53% | |
0.0171 | -13.64% | |
0.0000000762 | -5.34% | |
0.0464 | -6.83% | |
0.2665 | -20.87% | |
0.001001 | -4.39% | |
0.741 | -5.61% | |
0.434 | -12.32% | |
0.0004202 | -3.16% | |
0.0164 | -9.89% | |
0.3597 | -7.44% | |
0.721 | -8.96% | |
0.1869 | -5.70% | |
0.000098 | 3.16% | |
1.145 | -8.55% | |
0.0341 | -8.58% | |
0.630 | -8.96% | |
0.1713 | -9.56% | |
0.00002378 | -4.57% | |
0.01644 | -10.70% | |
0.00275 | 14.58% | |
0.01334 | -14.05% | |
0.6999 | 1.88% | |
8.61 | -3.48% | |
0.000091 | 1.11% | |
0.968 | -6.74% | |
0.00000000000099 | 2.06% | |
0.0000700 | -6.54% | |
0.1336 | -9.05% | |
0.0007436 | -21.72% | |
0.003178 | -7.02% | |
0.1076 | -2.71% | |
0.00000000137 | 24.55% | |
0.0321 | -11.08% | |
0.2144 | -4.67% | |
0.0004005 | -8.02% | |
0.003997 | -5.31% | |
0.0820 | -8.99% | |
0.00748 | -13.63% | |
7.27 | -9.80% | |
0.0099 | 0.00% | |
1.056 | -3.74% | |
0.5041 | -3.93% | |
1.5497 | -5.40% | |
1.552 | -6.62% | |
0.0000000150 | -15.25% | |
0.0628 | -6.13% | |
0.00607 | -1.62% | |
1.298 | -2.92% | |
0.0567 | -0.87% | |
0.001827 | -17.11% | |
0.02823 | 6.29% | |
1.266 | -10.15% | |
0.0006829 | -9.18% | |
17.04 | -6.22% | |
0.05058 | -4.78% | |
0.689 | -5.87% | |
0.1253 | -9.99% | |
0.0600 | 2.04% | |
0.0454 | -10.63% | |
0.00000003444 | -8.40% | |
0.001397 | -10.10% | |
0.0000086 | 2.38% | |
0.0000224 | -77.37% | |
0.1184 | -8.99% | |
0.0939 | -9.54% | |
13.39 | -7.53% | |
0.1387 | -8.87% | |
0.00196 | -10.91% | |
0.000024 | 14.29% | |
0.3004 | -7.05% | |
0.3885 | -7.61% | |
72.4 | -5.48% | |
0.02957 | -19.14% | |
0.002926 | 1.21% | |
0.1031 | -7.20% | |
0.07131 | -8.96% | |
0.0003680 | -30.26% | |
0.0112 | 0.00% | |
0.003963 | -0.35% | |
0.1037 | -6.83% | |
0.00000015670 | -55.23% | |
0.1273 | -4.14% | |
0.1195 | -7.22% | |
0.0001598 | 3.56% | |
0.0096 | -12.73% | |
0.1961 | -7.63% | |
0.006833 | -3.50% | |
0.004076 | -4.61% | |
0.00000721 | 0.98% | |
0.0644 | -7.34% | |
0.003538 | -1.72% | |
0.01187 | -8.41% | |
0.0000000000000146 | -8.75% | |
0.01680 | -10.11% | |
0.000000516 | -0.96% | |
1.401 | -8.43% | |
0.1069 | -7.61% | |
0.0841 | -6.87% | |
0.0857 | -9.12% | |
0.472 | -11.61% | |
0.02955 | -5.11% | |
0.004553 | -0.37% | |
0.00000831 | -10.26% | |
1.4298 | -6.80% | |
0.004025 | 0.00% | |
0.00702 | -3.17% | |
0.0544 | -6.37% | |
0.0000002155 | -4.65% | |
0.000000002136 | 3.19% | |
0.0000070 | 150.00% | |
0.0110 | -4.35% | |
0.0004220 | -5.42% | |
0.003341 | 6.91% | |
0.000042 | -27.59% | |
0.003044 | 2.63% | |
0.000000000069 | 130.00% | |
0.3499 | -7.80% | |
0.0003225 | -15.66% | |
0.01292 | -10.34% | |
0.0555 | -2.12% | |
0.00856 | -2.73% | |
0.0003919 | -4.81% | |
0.000000000003901 | 1.54% | |
0.0021491 | -3.50% | |
0.01070 | -5.98% | |
0.000664 | -9.29% | |
0.00000000001424 | -16.28% | |
0.2668 | -7.07% | |
0.750 | 0.00% | |
0.01978 | -11.81% | |
0.07969 | -0.16% | |
0.00000000000212 | 0.00% | |
0.9057 | -4.15% | |
0.10011 | -11.22% | |
0.1213 | -6.26% | |
0.006700 | -4.29% | |
0.00003 | 0.00% | |
0.000704 | 36.96% | |
0.2082 | -5.49% | |
0.004000 | -33.33% | |
0.00816 | -7.69% | |
0.0790 | -4.70% | |
0.0931 | -8.90% | |
0.0834 | -12.85% | |
0.00000000000018 | -14.29% | |
0.001970 | -2.43% | |
0.000427 | 0.00% | |
0.0082 | -5.75% | |
0.0788 | -9.11% | |
0.003601 | -7.00% | |
0.000602 | -39.56% | |
0.0006057 | -6.25% | |
0.001085 | -7.11% | |
0.00999 | -35.80% | |
0.1743 | -9.36% | |
0.1080 | -5.18% | |
0.01311 | -11.24% | |
0.00030 | -14.29% | |
0.000060 | -13.04% | |
6.007 | -7.24% | |
0.000350 | 0.57% | |
0.00003075 | -24.80% | |
0.1560 | -8.24% | |
0.016731 | -7.18% | |
0.0000503 | -37.90% | |
0.5402 | -1.48% | |
0.01222 | -8.19% | |
0.00000000000014 | 16.67% | |
0.0710 | -8.51% | |
0.0641 | -21.45% | |
0.0000625 | -5.73% | |
0.0000092 | 21.05% | |
0.1406 | -3.50% | |
0.4170 | -9.21% | |
0.001120 | -3.45% | |
0.00000383 | -3.53% | |
0.0000010 | 0.00% | |
0.03674 | -6.20% | |
0.01373 | -5.89% | |
0.004403 | -13.55% | |
0.001017 | -11.33% | |
0.000000000005 | 25.00% | |
0.004185 | -2.61% | |
0.0000119 | 0.00% | |
0.4820 | 0.00% | |
31.0000 | 24.00% | |
0.008819 | 10.24% | |
2.144 | -6.21% | |
0.00004519 | -11.29% | |
0.002000 | -0.65% | |
0.000806 | -17.50% | |
0.0098 | -1.01% | |
1.352 | -10.70% | |
0.003439 | -22.00% | |
0.000121 | -52.92% | |
0.00008 | -11.11% | |
0.00008969 | -0.31% | |
0.000000001757 | -3.99% | |
0.2085 | 0.14% | |
0.2354 | -9.77% | |
0.002284 | -6.24% | |
0.000012 | 50.00% | |
0.000002400 | -25.47% | |
18.1500 | -5.69% | |
0.02611 | -7.67% | |
0.008234 | 0.04% | |
0.00004 | 0.00% | |
0.003727 | -15.30% | |
0.001903 | -18.15% | |
0.1860 | -11.34% | |
0.00023 | -11.54% | |
0.05804 | 0.00% | |
0.00170 | -22.73% | |
0.01853 | -9.08% | |
0.02938 | -2.52% | |
0.0003 | -40.00% | |
0.00012 | -7.69% | |
0.401 | -5.65% | |
0.002475 | 0.08% | |
0.00000011 | 0.00% | |
1.312 | -6.88% | |
0.000000000103 | -14.88% | |
0.00000297 | -5.41% | |
0.000037 | -35.09% | |
0.0346 | -11.51% | |
0.0003 | 0.00% | |
0.00011 | 0.00% | |
48.803 | -2.46% | |
14.12 | -7.35% | |
0.01197 | -6.56% | |
0.000059 | 5.36% | |
0.000002050 | -26.68% | |
0.001314 | -14.68% | |
0.792 | -12.49% | |
0.4733 | -5.92% | |
0.0539 | -10.76% | |
0.001237 | -18.51% | |
0.000020 | -9.09% | |
0.0000211 | -29.90% | |
0.00000053 | -1.85% | |
2.281 | -3.96% | |
0.0006117 | -14.64% | |
0.01068 | -18.97% | |
0.1059 | -16.81% | |
0.0441 | -8.13% | |
0.000564 | 17.01% | |
0.0001702 | 21.40% | |
8.9431 | -0.02% | |
0.004430 | 1.42% | |
0.0562 | -5.23% | |
0.000007 | 40.00% | |
0.000000000017 | 0.00% | |
0.0409 | -7.05% | |
0.02995 | -10.81% | |
0.00449 | -2.39% | |
0.00000000015708 | -28.36% | |
0.000026 | -13.33% | |
0.00385 | -45.00% | |
0.003025 | -11.96% | |
0.00000000000040 | 5.26% | |
0.0000000487 | -6.17% | |
0.002307 | -10.89% | |
0.0000000030210 | 0.02% | |
0.00006 | 20.00% | |
0.002563 | 0.00% | |
0.0000007 | -12.50% | |
0.00000000000287 | 0.70% | |
0.000092 | 0.00% | |
0.0000442 | 0.00% | |
0.001985 | -0.25% | |
0.0000100 | 0.00% | |
0.0118 | 1.72% | |
0.002512 | -10.22% | |
0.03786 | 1.09% | |
0.00000000000102 | -10.53% | |
0.000100 | -50.25% | |
0.1402 | -4.30% | |
2.781 | -7.79% | |
0.002499 | -10.20% | |
0.00000000001605 | -0.06% | |
2.44 | -6.15% | |
0.00000000003515 | 2.81% | |
0.1589 | -8.10% | |
0.00000000001194 | 12.64% | |
0.00000000001935 | -35.71% | |
0.00005 | 66.67% | |
0.00023 | 0.00% | |
0.0000000000000171 | 0.59% | |
0.0725 | -9.94% | |
0.03430 | -0.72% | |
0.00006 | -14.29% | |
0.000119 | 10.19% | |
0.000000002404 | 1.74% | |
3.03 | -10.36% | |
0.0027 | 0.00% | |
0.2021 | -5.82% | |
0.001171 | -21.93% | |
0.0014 | 0.00% | |
0.0107 | 48.61% | |
0.000000038 | -5.00% | |
0.8533 | 3.57% | |
0.000632 | 1.94% | |
0.0000055 | -9.84% | |
0.0000039 | 2.63% | |
0.00004398 | 29.39% | |
1.1725 | -8.83% | |
0.01575 | -6.19% | |
0.09848 | -7.11% | |
0.1309 | -4.38% | |
0.00760 | -4.16% | |
0.03459 | -6.74% | |
0.0000653 | 0.77% | |
0.002026 | -2.50% | |
0.2313 | -13.37% | |
58.5600 | 0.00% | |
0.0001450 | -5.60% | |
0.001631 | -5.67% | |
0.0005109 | -8.60% | |
0.0881 | -10.29% | |
0.0009012 | 0.00% | |
0.00600 | 0.00% | |
0.0007993 | 0.00% | |
6.162 | 2.07% | |
0.0000329 | 0.00% | |
0.04777 | -5.67% | |
0.2289 | 2.23% | |
0.0000670 | -0.74% | |
0.000025 | 0.00% | |
0.0012 | 0.00% | |
1899.00 | 0.00% | |
0.001088 | -9.48% | |
0.5614 | -8.46% | |
0.001228 | -7.60% | |
0.02903 | -2.02% | |
0.00382 | -6.60% | |
0.00990 | -9.84% | |
2.5129 | 0.00% | |
1.000000 | 0.00% | |
0.1800 | -6.35% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
0.000000000000843 | -8.07% | |
1.826 | -2.35% | |
0.0535 | -6.30% | |
2.977 | -5.19% | |
0.000000100 | 0.00% | |
0.0001030 | 0.00% | |
0.1405 | -9.12% | |
0.00531 | -4.15% | |
0.00103 | 0.00% | |
0.667 | -8.88% | |
0.6855 | -2.42% | |
0.0700 | 0.00% | |
0.0840 | -7.69% | |
0.001135 | -1.99% | |
0.00000092 | 9.52% | |
0.1395 | -7.49% | |
0.01906 | 2.97% | |
0.000216 | 0.00% | |
0.00000000000651 | 0.00% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
1.1371 | 0.00% | |
0.000079 | 0.00% | |
0.4424 | 0.00% | |
0.000392 | -0.25% | |
0.0071 | 0.00% | |
0.01623 | -3.39% | |
0.000210 | 0.00% | |
0.0713 | -7.52% | |
0.0244 | -8.61% | |
0.0437 | -5.82% | |
0.2935 | -11.94% | |
0.000452 | 0.00% | |
0.0272 | 0.00% | |
0.230000 | 0.00% | |
0.000194145 | 4.21% | |
0.00000042 | -2.33% | |
0.1204 | 0.00% | |
2.694 | 1.32% | |
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% | |
0.000025 | 0.00% | |
0.00005 | 0.00% | |
0.00006187 | 0.00% | |
0.000122 | 0.00% | |
0.001405 | 0.00% | |
0.2459 | 0.00% | |
0.000902 | 0.00% | |
0.0228 | -9.16% | |
0.000000000764 | -3.78% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.00009300 | 0.00% | |
0.000445 | -0.89% | |
0.00000000052 | -8.77% | |
9.788 | 0.39% | |
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% | |
0.00000000000355 | -5.08% | |
0.00000011 | 0.00% | |
0.0000006650 | 0.00% | |
0.00023846 | 0.00% | |
0.000758 | 0.00% | |
0.001000 | 0.00% | |
0.000058 | 0.00% | |
1.6799 | 0.00% | |
0.0920 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.00001 | 0.00% | |
0.000118 | 0.00% | |
0.0010 | 0.00% | |
0.0000242 | 0.83% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.00005458 | 0.00% | |
0.00280 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0001000 | 0.00% | |
0.05056 | 0.00% | |
1.3575 | 0.00% | |
0.00136 | 0.00% | |
0.00007 | 0.00% | |
0.000028 | 0.00% | |
0.000033 | 0.00% | |
0.001234 | 0.00% | |
0.000449 | 0.00% | |
0.0066 | 0.00% | |
0.0007 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.0066 | 0.00% | |
0.020562 | 0.00% | |
0.9990 | 0.00% | |
0.0000111 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
0.000808 | 0.00% | |
0.001200 | 0.00% | |
0.001050 | 0.00% | |
0.000650 | 0.00% | |
0.000383 | 0.00% | |
0.00006107 | 0.00% | |
0.01595 | 0.00% | |
0.001000 | 0.00% | |
50.0000 | 0.00% | |
0.0006 | 0.00% | |
0.0786 | 0.00% | |
0.001563 | 0.00% | |
1.6349 | 0.00% | |
0.001790 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.001801 | 0.00% | |
0.000640 | 0.00% | |
0.0200 | 0.00% | |
0.0093 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.0071 | -1.39% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.0131 | 0.00% | |
0.0013 | 0.00% | |
0.1078 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.000410 | 0.00% | |
0.001650 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.1769 | 0.00% | |
2.2915 | 0.00% | |
0.0000000192 | -7.25% | |
0.0005 | 0.00% | |
0.000257 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.020099 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.0060 | 0.00% | |
0.0700 | 0.00% | |
8.4900 | 0.00% | |
1.76670591 | 0.00% | |
0.0024 | 0.00% | |
0.0048 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.0001 | 0.00% | |
0.6700 | 0.00% | |
0.000835 | 0.00% | |
0.0102 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.02700 | 0.00% | |
0.00296 | 0.00% | |
0.0650 | 0.00% | |
0.3515 | 0.00% | |
0.00125 | 0.00% | |
0.000446 | 0.00% | |
0.4900 | 0.00% | |
0.000062 | 0.00% | |
1.0100 | 0.00% | |
0.5000 | 0.00% | |
0.010100 | 0.00% | |
0.0069 | 0.00% | |
0.88686 | 0.00% | |
0.00077 | 0.00% | |
0.00113 | 0.00% | |
0.04024 | 0.00% | |
0.05578 | 0.00% | |
1.1760 | 0.00% | |
0.000561 | 0.00% | |
0.00774 | 0.00% | |
0.1725 | 0.00% | |
0.01463 | 0.00% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.00021 | 0.00% | |
0.001800 | 0.00% | |
0.000001624 | 0.00% | |
0.01200 | 0.00% | |
0.000001000 | 0.00% | |
100.71 | 0.00% | |
0.0000008 | 0.00% | |
1.3289 | -0.34% | |
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% | |
0.0000303 | -5.02% | |
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% | |
0.00002805 | 0.00% | |
0.00776 | 0.00% | |
0.0810 | 0.00% | |
0.00648 | -0.31% | |
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% | |
0.000194 | -1.02% | |
0.0000266 | 0.00% | |
0.00625 | 0.00% | |
0.0000002725 | 0.00% | |
0.250 | 0.00% | |
0.3532 | -7.95% | |
0.794 | -3.76% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.000000000749 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.0020 | 0.00% | |
0.00538 | 0.00% | |
0.02721 | -7.26% | |
0.4347 | 0.67% | |
0.324 | -10.99% | |
0.000000001868 | 0.00% | |
0.0018 | 0.00% | |
5155.00 | 0.00% | |
1.384 | -7.73% | |
0.0091 | 0.00% | |
0.525 | 0.77% |