自私挖礦詳解
比特幣挖礦激勵機制的公平與公正
在比特幣網絡這一去中心化的世界中,參與者能否獲得公正且相對均衡的收益是保障整個系統長期穩定運作的核心要素。其背後的設計巧妙地運用了經濟激勵手段,使得節點爲了自身利益最大化而維護網絡安全。
比特幣挖礦是一個耗費巨大資源的過程,參與者投入大量資金購置高性能硬件設備,並承擔高昂的電力成本,目的就在於通過解決複雜的加密難題爲區塊鏈增加新區塊。在這個過程中,礦工遵循一套明確的遊戲規則,即成功添加新區塊後,他們將得到兩部分回報:一是區塊中包含的所有交易費用,二是預設的區塊獎勵,這是新發行的比特幣。
值得注意的是,比特幣系統的貨幣發行遵循預定的減半規則,每產出21萬個區塊(大約四年一次),區塊獎勵將減少一半。當前的區塊獎勵爲12.5 BTC,而在未來幾個月內,這一數值將降至6.25 BTC。這種設計旨在控制貨幣供應量的增長速度,同時也加劇了礦工之間的競爭,從而提升了網絡的安全性和去中心化程度。
然而,在這看似公平有序的競爭環境之中,有人提出了“自私挖礦”這一概念,它涉及到對現有挖礦激勵機制的潛在操縱。接下來的部分,我們將深入探討自私挖礦是如何運作的,以及它是否對比特幣網絡構成了實質性的威脅。
自私挖礦運作機制及潛在影響
在比特幣網絡中,Ittay Eyal和Emin Gun Sirer兩位研究人員於2013年的開創性論文揭示了一種可能破壞比特幣去中心化設計的挖礦策略——自私挖礦。他們指出,即使誠實挖礦佔據了大多數算力,比特幣的激勵機制仍存在漏洞,容易被有心者利用以獲取不公平的優勢。
爲了直觀理解自私挖礦如何運作,我們可以設想一個由四名礦工組成的簡化場景。Maria、George和Christine均遵循比特幣協議規則,一旦發現新區塊立即向全網廣播並加入區塊鏈。而Peter卻採取了不同策略,他在成功挖掘新區塊後並未立即將其公佈到公鏈上,而是選擇暫時保留形成私有分支。
假設Peter幸運地連續發現了兩個新區塊,此時公鏈上的其他礦工仍在努力尋找第100,001個區塊。當Peter已私下積累了包含第100,001和第100,002個區塊的私鏈時,他繼續觀察市場動態。
按照比特幣的共識機制——最長鏈規則(也稱爲工作量證明原則),網絡中的節點始終會選擇累計工作量最大的鏈作爲有效鏈,併爲其貢獻算力。當Peter確定自己的私鏈比當前公鏈領先至少一個區塊時,他會將私鏈公開,導致網絡接受這條更長的鏈爲權威版本。
這樣一來,Maria、George和Christine之前在舊鏈上投入的工作和應得的獎勵瞬間化爲烏有,而Peter不僅獨享了私鏈上的所有區塊獎勵,還因提前掌握了新區塊信息,從而在未來競爭中佔據優勢。這種行爲雖然短期內提高了Peter的收益,但長期來看,可能會導致比特幣網絡哈希率分佈更加集中,削弱系統的去中心化特性以及整體安全性。
自私挖礦對網絡的影響及潛在風險
自私挖礦策略不僅會減少遵循規則的礦工實際獲得的獎勵,還會引發資源的無效消耗。實施自私挖礦的礦工通過操縱區塊廣播機制獲取優勢,這種行爲容易吸引其他礦工效仿,形成惡性循環,進一步加劇算力集中現象。
Eyal和Sirer的研究指出,在自私挖礦策略下,各參與者爲了最大化收益,可能傾向於與自私實體合作,導致原本分散的哈希率逐漸向某一礦池傾斜。若這一趨勢持續發展,單一礦池佔據超過51%的全網算力成爲可能,屆時將能夠發起51%攻擊,控制區塊鏈並篡改交易記錄,從而徹底顛覆比特幣網絡的安全性和信任基礎。
然而,有人認爲自私挖礦對系統穩定性影響有限,因爲礦工不僅關注短期利益,還受到去中心化意識形態的影響,並且現有激勵機制設計有助於維護網絡的均衡運作。此外,過度中心化將破壞整個生態系統的穩定性,可能導致礦工投資的巨大損失,使得依賴於網絡健康運行的盈利模式變得不可持續。儘管如此,自私挖礦的存在仍是對比特幣及其共識機制的一次嚴峻考驗,警示着所有參與者必須警惕並防範此類潛在威脅。
結語
本文深入剖析了比特幣挖礦激勵機制的公平性和公正性,以及其中可能存在的潛在威脅——自私挖礦。儘管比特幣網絡通過減半規則和最長鏈共識機制旨在維持相對均衡的利益分配和網絡安全性,自私挖礦策略揭示了這一機制中可能被利用的漏洞。儘管在實踐中,自私挖礦完全顛覆比特幣系統的可能性尚存爭議,但它無疑對去中心化理念構成了挑戰,並提示我們在未來設計或改進區塊鏈激勵機制時,必須充分考慮並有效抵禦此類攻擊手段,以確保數字貨幣生態的健康、穩定與可持續發展。
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0.006407 | 0.39% | |
0.001405 | 7.25% | |
0.004172 | -5.42% | |
0.000125 | 0.00% | |
0.0000000034 | -2.86% | |
107.9067 | 0.48% | |
0.0422 | -5.17% | |
0.847 | -3.42% | |
0.4780 | 1.68% | |
0.01500 | -16.67% | |
2.1111 | 0.00% | |
0.000001517 | -2.69% | |
0.0866 | -3.56% | |
0.1100 | 13.40% | |
0.000153 | 29.66% | |
0.164 | 2.50% | |
3.5340 | 10.08% | |
4.9422 | -1.29% | |
0.0102 | -0.97% | |
0.00760 | -12.64% | |
0.1233 | -6.16% | |
0.74145 | -0.07% | |
0.3327 | -2.26% | |
0.0110 | -1.79% | |
0.008261 | -21.46% | |
0.004370 | -2.63% | |
0.19911 | -9.39% | |
0.009990 | -20.00% | |
0.017650 | -1.92% | |
0.014703 | -11.10% | |
0.002375 | 4.67% | |
0.000000000324 | -0.31% | |
1.6082 | 0.54% | |
0.0047 | 0.00% | |
0.5615 | -4.28% | |
0.1292 | -1.07% | |
0.000449 | -1.10% | |
0.002657 | -27.34% | |
0.00013501 | 0.00% | |
1.1232 | -4.38% | |
1.7617 | -0.05% | |
0.00005940 | -2.00% | |
0.000000046329 | -0.38% | |
0.0000000011645 | -26.41% | |
0.010439 | -2.03% | |
2.645 | -2.18% | |
0.0001200 | -10.38% | |
0.0000212 | -2.30% | |
3.1067 | -1.00% | |
0.001387 | -9.17% | |
0.0042280 | -0.27% | |
0.04586 | -0.99% | |
0.5394 | -0.55% | |
0.808 | 1.38% | |
0.5352 | -2.28% | |
0.2147 | -1.20% | |
6.60 | -0.30% | |
0.000566 | -0.70% | |
0.001506 | -0.20% | |
0.0007 | 16.67% | |
0.03183 | -4.47% | |
0.000806 | -0.25% | |
0.0472 | -3.28% | |
0.04038 | 4.37% | |
0.002897 | -3.24% | |
0.30147 | 0.95% | |
0.001924 | -7.99% | |
0.00007 | 16.67% | |
0.09362 | 10.49% | |
0.00010324 | 1.24% | |
52.22 | 21.70% | |
0.00699 | -10.38% | |
1.1253 | 0.92% | |
0.0960 | -2.93% | |
0.12310 | 0.06% | |
0.00000478 | -0.21% | |
0.00693 | 0.87% | |
0.0000185 | -2.63% | |
0.010398 | 1.31% | |
0.006689 | -4.21% | |
12.51 | -0.79% | |
0.01571 | 1.42% | |
0.000159 | -0.63% | |
0.0632 | 0.96% | |
8.86 | -2.85% | |
0.2259 | -4.64% | |
0.00368 | -12.38% | |
0.1128 | -1.31% | |
0.003082 | 6.02% | |
0.000490 | 0.41% | |
0.008170 | 32.31% | |
0.8357 | -3.04% | |
0.8533 | -0.13% | |
0.3184 | -3.75% | |
0.2779 | -3.10% | |
0.00153 | 6.99% | |
0.01814 | -0.98% | |
0.25002 | -24.24% | |
0.003394 | -6.24% | |
0.0002974 | 2.59% | |
0.9500 | 0.00% | |
0.001896 | -4.63% | |
0.002656 | 8.94% | |
0.001106 | -0.81% | |
36.19 | -3.67% | |
0.2694 | -0.92% | |
0.01465 | -4.06% | |
0.001750 | 6.06% | |
0.00350 | 92.31% | |
3.3038 | 0.12% | |
0.0235 | -12.96% | |
35.7933 | 2.27% | |
112.5842 | 0.00% | |
0.04731 | -0.76% | |
0.00444 | -2.63% | |
0.641 | -6.42% | |
0.0593 | 0.34% | |
1.4280 | -3.56% | |
0.001144 | -13.00% | |
1.192 | -4.18% | |
0.000007750 | -3.37% | |
17.79 | -3.63% | |
0.037028 | 2.74% | |
0.2792 | -12.97% | |
0.001932 | -3.25% | |
0.3680 | -9.91% | |
0.00254 | 0.00% | |
0.1349 | -3.57% | |
0.05823 | -0.27% | |
0.000049 | 2.08% | |
0.000607 | 0.00% | |
0.6916 | -3.11% | |
0.00004259 | -14.84% | |
0.001821 | -1.09% | |
0.00988 | -1.40% | |
0.004520 | -11.25% | |
0.002058 | 7.69% | |
0.00701 | -2.09% | |
0.011780 | -9.02% | |
14.55 | 0.28% | |
0.00255 | 0.79% | |
0.03632 | 35.27% | |
0.07210 | 2.56% | |
0.6697 | -3.93% | |
0.03389 | 18.12% | |
0.004760 | -3.27% | |
3.864 | -4.19% | |
3.2104 | 0.57% | |
0.01653 | 0.18% | |
0.003803 | -5.77% | |
0.07683 | 4.59% | |
0.1959 | -2.97% | |
0.00003576 | 0.14% | |
0.00397 | -20.12% | |
0.04942 | 5.44% | |
0.00599 | -4.92% | |
0.000102 | 3.03% | |
1.2403 | 17.92% | |
0.1941 | -2.66% | |
0.1835 | -8.62% | |
0.00240 | -42.45% | |
0.248 | -1.98% | |
0.00000013522 | -1.36% | |
0.4931 | -7.87% | |
0.04050 | -6.83% | |
0.00268 | -0.74% | |
0.004398 | -6.07% | |
0.0690 | -3.50% | |
0.01430 | 26.55% | |
9.938 | 9.75% | |
0.002605 | -11.24% | |
0.0004411 | -7.18% | |
1.8096 | -0.63% | |
0.00003088 | -5.65% | |
1.4885 | -3.57% | |
0.0174950 | 0.47% | |
15.62 | -2.07% | |
0.0976 | 1.77% | |
0.00546 | -0.91% | |
2.205 | -2.61% | |
0.09302 | -0.87% | |
0.6800 | -3.26% | |
0.080050 | -0.67% | |
0.002600 | 0.62% | |
0.14887 | 0.61% | |
4.0651 | -0.10% | |
0.02425 | -2.38% | |
0.1808 | -2.32% | |
0.4951 | 0.57% | |
0.01625 | 5.45% | |
0.003410 | -6.78% | |
0.02815 | -22.26% | |
0.04315 | -1.03% | |
0.005505 | 9.27% | |
0.04965 | -2.13% | |
0.00196 | -0.51% | |
0.000245 | 0.41% | |
0.001020 | -9.81% | |
0.0233 | -4.90% | |
0.002253 | 0.09% | |
0.01047 | 3.25% | |
0.0649 | -9.36% | |
0.00092 | -12.38% | |
6.20 | -0.32% | |
0.147 | 9.70% | |
4.1312 | -2.10% | |
0.0000009335 | -8.51% | |
0.05490 | -8.85% | |
0.12222 | 11.11% | |
0.1337 | -0.67% | |
0.0000000000930 | 1.42% | |
2.490 | -3.97% | |
0.007154 | -0.72% | |
0.3229 | -3.15% | |
6.932 | 3.66% | |
0.1641 | -0.12% | |
5.291 | 2.34% | |
0.2787 | -1.35% | |
0.0015 | 7.14% | |
0.0497 | -11.41% | |
0.2345 | -5.86% | |
4.329 | -2.30% | |
7.818 | -3.53% | |
0.39835 | -0.18% | |
0.0752 | -2.97% | |
0.016879 | -6.44% | |
0.002279 | 2.29% | |
0.05739 | -7.75% | |
0.10148 | -1.01% | |
25.8388 | 6.05% | |
0.004589 | -14.61% | |
0.1466 | -1.68% | |
0.004440 | -17.46% | |
0.001101 | -1.61% | |
0.000000158 | 17.04% | |
0.0003849 | -4.25% | |
0.03736 | -8.14% | |
0.00004356 | -0.11% | |
0.00367 | -0.54% | |
0.01018 | -3.87% | |
0.0000553 | 0.55% | |
0.01548 | -23.97% | |
0.00279855 | -2.63% | |
0.4057 | -7.61% | |
0.00002009 | -6.77% | |
0.39161 | -2.71% | |
0.00769 | 4.63% | |
0.0001553 | -3.30% | |
1.415 | -45.66% | |
0.03784 | -5.12% | |
0.005468 | -1.51% | |
0.03599 | 1.04% | |
1.7779 | -5.07% | |
0.678 | -4.10% | |
0.00444 | -1.33% | |
0.00014 | 0.00% | |
0.2445 | -0.24% | |
0.03269 | -12.94% | |
1.0505 | -4.21% | |
0.0000170 | -5.56% | |
0.0337 | -2.32% | |
0.009880 | 3.02% | |
0.003520 | -12.11% | |
0.00004278 | -6.61% | |
0.002854 | -4.36% | |
45.29 | 8.79% | |
0.006080 | -12.33% | |
0.01264 | -11.17% | |
0.02293 | -3.41% | |
0.002235 | -1.15% | |
0.00000000013097 | -1.08% | |
0.0054 | -26.03% | |
0.01014 | -6.63% | |
0.04967 | 3.03% | |
2.891 | 5.78% | |
0.2763 | -3.09% | |
0.14255 | 27.21% | |
0.00785 | -2.48% | |
0.000695 | -15.66% | |
0.00023414 | -9.60% | |
0.01357 | 0.30% | |
0.02885 | -16.18% | |
114.54 | 4.39% | |
2.380 | -3.72% | |
0.000217 | -12.85% | |
0.007941 | -6.46% | |
0.000437 | -13.47% | |
0.4349 | -7.07% | |
0.00007412 | -3.41% | |
0.000006030 | 2.80% | |
0.002445 | -14.60% | |
0.0000003887 | -6.58% | |
0.004511 | -7.35% | |
0.133033 | -5.30% | |
0.003151 | -1.78% | |
0.1152 | 8.99% | |
0.1777 | -4.67% | |
0.00000000735 | 2.51% | |
0.00135 | -2.17% | |
0.0000507 | 0.60% | |
0.000705 | -4.08% | |
0.1284 | -4.25% | |
0.009392 | -14.38% | |
0.01106 | -3.74% | |
0.00003073 | -3.85% | |
0.1847 | -2.17% | |
0.01160 | -1.61% | |
0.1367 | -4.00% | |
0.002204 | -9.11% | |
0.1722 | -2.44% | |
0.000907 | -24.73% | |
0.001235 | -16.16% | |
0.04069 | -8.54% | |
0.1200 | -1.56% | |
0.003222 | -6.36% | |
28.31 | -7.51% | |
0.0666 | 3.26% | |
0.000481 | -10.43% | |
0.001928 | 1.21% | |
0.405 | -1.22% | |
0.000208 | -9.96% | |
0.1043 | -3.34% | |
0.003237 | -4.74% | |
0.00490 | 7.46% | |
0.13279 | -9.39% | |
0.5784 | 1.56% | |
0.00485 | -2.22% | |
0.02133 | -9.96% | |
0.003483 | -12.38% | |
0.1130 | -2.42% | |
0.000717 | -9.81% | |
0.00002769 | -0.79% | |
0.00864 | 10.20% | |
0.813 | -2.98% | |
0.0097 | 34.72% | |
6.294 | -5.35% | |
0.4129 | -0.70% | |
0.03319 | -5.74% | |
0.002069 | -7.43% | |
0.05258 | -6.49% | |
0.00000004625 | -3.08% | |
0.14611 | -3.21% | |
0.0515 | -1.90% | |
0.01628 | 8.24% | |
21.56 | -1.60% | |
0.002843 | -16.26% | |
0.1329 | -4.94% | |
0.0000000000000637 | -2.90% | |
0.002011 | -0.59% | |
16.33 | -2.04% | |
0.2683 | -1.07% | |
0.1572 | 4.59% | |
0.2859 | 0.03% | |
0.02138 | -4.38% | |
402.2 | -0.37% | |
0.002583 | 14.80% | |
0.12919 | -4.16% | |
0.000280 | -60.00% | |
0.002093 | -6.56% | |
0.2949 | -2.54% | |
0.0002270 | -32.84% | |
0.0964 | 7.59% | |
0.04421 | -1.89% | |
0.009506 | -3.51% | |
0.001072 | -2.19% | |
0.016888 | 40.70% | |
0.2127 | -1.66% | |
0.0864 | -2.04% | |
0.00932 | -4.99% | |
0.0273 | -4.88% | |
0.001419 | -3.86% | |
0.0000519 | 0.19% | |
0.002988 | -22.13% | |
0.006131 | -21.22% | |
0.5596 | -2.83% | |
0.1119 | -6.12% | |
0.00001612 | -3.59% | |
0.00342 | -5.00% | |
0.2134 | -2.07% | |
0.0512 | -2.66% | |
0.22611 | -3.71% | |
0.000990 | 4.43% | |
1.022 | -4.40% | |
0.00000000490 | 57.05% | |
1.023 | 19.37% | |
0.000797 | 1.14% | |
0.0000034 | -5.56% | |
0.136967 | 4.61% | |
0.5691 | -8.50% | |
0.0278 | -4.79% | |
0.05103 | -6.02% | |
0.01866 | -7.90% | |
0.1150 | 7.38% | |
0.00000004374 | -5.06% | |
0.0009 | -40.00% | |
0.0016670 | -17.35% | |
0.1186 | -2.31% | |
0.0766 | -3.28% | |
0.1352 | -1.74% | |
0.00588 | -4.85% | |
0.2514 | 0.20% | |
0.00380 | -14.61% | |
0.025010 | 7.08% | |
0.00175852 | -5.03% | |
0.01150 | 0.00% | |
0.2419 | -4.84% | |
0.000206 | -7.62% | |
0.00329 | -14.10% | |
0.002599 | -6.11% | |
0.1416 | -12.48% | |
0.7087 | -13.20% | |
0.3292 | -2.52% | |
2.23 | -3.04% | |
4.232 | -1.47% | |
0.004156 | -1.61% | |
0.09762 | -1.18% | |
2.502 | -4.54% | |
0.15679 | 0.14% | |
0.561 | -3.11% | |
0.0000077 | 4.05% | |
0.419 | -1.41% | |
0.025467 | -2.02% | |
0.00540 | 0.93% | |
0.002258 | 0.62% | |
0.0006188 | 1.79% | |
0.00648 | -2.99% | |
0.0000000396 | -4.58% | |
7.930 | -2.69% | |
0.000269 | -0.74% | |
1.016 | -0.59% | |
0.8162 | 1.08% | |
0.00000714 | -5.56% | |
0.022769 | -4.48% | |
0.002753 | -8.36% | |
0.0000000347 | -10.10% | |
14.6758 | -0.56% | |
1.250 | 0.16% | |
0.2215 | -7.98% | |
0.001211 | -7.98% | |
0.022977 | 45.38% | |
0.542 | -3.90% | |
0.000587 | -4.55% | |
0.000725 | -5.35% | |
1856 | -4.18% | |
0.004673 | -7.56% | |
0.000857 | 5.54% | |
0.00902 | -3.53% | |
0.4451 | 3.87% | |
0.586 | -3.46% | |
0.010000 | 0.00% | |
0.1788 | -12.27% | |
0.03938 | -1.82% | |
0.000146 | -9.88% | |
0.004778 | -10.49% | |
2.977 | -2.20% | |
0.01737 | 81.88% | |
0.00000260 | -0.38% | |
2.247 | -4.55% | |
0.001072 | -3.51% | |
0.02263 | -5.98% | |
0.011444 | 9.72% | |
0.08764 | 7.82% | |
0.01260 | -8.96% | |
0.07654 | -4.56% | |
0.004304 | 5.05% | |
0.00864 | -2.48% | |
0.3804 | 0.08% | |
0.05728 | -9.21% | |
0.001729 | -5.10% | |
0.00974 | -14.71% | |
0.000936 | 0.21% | |
0.0515 | -3.38% | |
0.04059 | -3.15% | |
0.1018 | -0.39% | |
0.000901 | -13.20% | |
0.00620 | -0.32% | |
0.0042006 | -2.33% | |
0.847 | 3.29% | |
33.28 | 3.26% | |
0.00002127 | -10.78% | |
0.000720 | -32.08% | |
0.03549 | -13.31% | |
0.2072 | 0.00% | |
0.04009 | -12.18% | |
0.002000 | 5.37% | |
0.0588 | -1.51% | |
0.00000000000499 | 23.21% | |
0.002601 | 229.24% | |
0.001017 | -6.01% | |
0.1021 | -2.67% | |
0.12164 | 0.35% | |
0.03449 | -47.99% | |
0.001134 | -12.63% | |
0.000712 | -4.56% | |
0.3388 | -4.19% | |
0.8064 | -3.20% | |
0.00000000001897 | -2.22% | |
0.0000751 | -4.45% | |
6.09 | -0.81% | |
0.0006844 | 3.98% | |
0.1890 | -4.59% | |
0.00000000000722 | 0.14% | |
0.0000002119 | 10.19% | |
0.032705 | 0.36% | |
5.4000 | 28.57% | |
0.05674 | -4.80% | |
0.0033 | 94.12% | |
0.000855 | -5.00% | |
0.01100 | -2.65% | |
0.0577 | -0.86% | |
0.00431 | -2.71% | |
0.004400 | -33.36% | |
0.000820 | -7.55% | |
0.00007278 | -2.09% | |
0.0424 | -2.08% | |
0.000237 | 3.49% | |
22.02 | -2.57% | |
0.000410 | -18.81% | |
0.02300 | 4.55% | |
0.292 | -4.26% | |
0.00227 | -1.73% | |
0.00002 | 0.00% | |
0.1125 | -3.76% | |
0.371 | -1.33% | |
0.00002169 | -1.86% | |
1.845 | 1.77% | |
0.02612 | 0.27% | |
0.003475 | -5.03% | |
0.00130 | 31.31% | |
0.001148 | -7.49% | |
0.0692 | -5.46% | |
0.00005982 | -5.66% | |
0.00002046 | -3.31% | |
0.03910 | -2.13% | |
4.5935 | -8.80% | |
0.1506 | -2.90% | |
0.001651 | -11.66% | |
0.000848 | -7.63% | |
0.01213 | 12.84% | |
0.0006171 | -8.14% | |
0.2128 | -12.14% | |
0.0003442 | 12.63% | |
0.002166 | -9.49% | |
0.0568 | -7.34% | |
0.0000014388 | 0.54% | |
0.000507 | -6.11% | |
0.013187 | 1.00% | |
0.04432 | 10.30% | |
0.0276 | 1.85% | |
0.00270 | 17.39% | |
0.0802 | -1.72% | |
0.002132 | -0.09% | |
0.01794 | -3.03% | |
0.001201 | -2.04% | |
0.000195 | -10.14% | |
0.0650 | 0.00% | |
0.1022 | 1.79% | |
0.0002450 | -8.89% | |
2.057 | -0.96% | |
0.3565 | -5.46% | |
0.0260 | 12.55% | |
0.002245 | -5.71% | |
0.00913 | -3.39% | |
0.0916 | -1.82% | |
0.0157 | -7.10% | |
0.1021 | -2.95% | |
0.0484 | -5.10% | |
2.994 | -1.02% | |
0.01612 | 7.04% | |
15.88 | -1.37% | |
12.67 | -4.45% | |
0.00905 | -10.93% | |
0.0011 | -26.67% | |
0.000053 | 20.45% | |
0.02831 | -7.91% | |
0.1172 | -2.98% | |
0.0778 | -2.02% | |
0.1848 | -7.28% | |
0.01185 | -2.23% | |
0.292 | -2.01% | |
0.2488 | -4.89% | |
0.000663 | -3.91% | |
0.0000410 | 100.00% | |
0.4306 | -4.48% | |
0.02669 | -4.88% | |
0.2967 | -5.30% | |
0.00000344 | -3.10% | |
0.0805 | -4.28% | |
0.002897 | -0.65% | |
0.08571 | -0.30% | |
0.000020 | 81.82% | |
0.0000693 | 2.51% | |
0.0000000527 | 4.98% | |
0.0580 | -0.34% | |
0.007050 | -3.42% | |
0.0688 | -1.99% | |
0.00000447 | 50.00% | |
0.06085 | -5.26% | |
0.004106 | 1.81% | |
0.0000982 | -0.91% | |
0.0650 | -7.28% | |
0.028395 | -2.24% | |
0.0010100 | -19.51% | |
0.5773 | -1.72% | |
0.697 | -1.55% | |
0.1195 | -2.77% | |
0.0276 | -0.36% | |
0.00003552 | -0.48% | |
0.006732 | -16.45% | |
0.03581 | -0.97% | |
0.552 | -4.83% | |
0.0721 | -2.44% | |
0.000001840 | -5.15% | |
0.02224 | 1.55% | |
0.0272 | -4.90% | |
0.004034 | -7.29% | |
0.000000001375 | -26.00% | |
0.04702 | -3.90% | |
0.4925 | -2.38% | |
0.000327 | -0.30% | |
0.4904 | -2.91% | |
0.001449 | -0.07% | |
0.0009342 | -4.47% | |
1.149 | -1.12% | |
0.2891 | -0.96% | |
0.000087 | -2.25% | |
0.1405 | -3.17% | |
0.03986 | -8.87% | |
0.002721 | 2.52% | |
0.000729 | 143.00% | |
0.1816 | -1.73% | |
0.000000003195 | -4.46% | |
0.02132 | -4.31% | |
0.1745 | 0.00% | |
0.000034 | 17.24% | |
0.002627 | -19.91% | |
10.77 | -4.35% | |
0.1669 | -4.03% | |
0.01390 | -2.52% | |
0.0659 | 6.81% | |
17.33 | -1.14% | |
0.000000060 | 0.00% | |
0.005771 | 0.19% | |
0.00000000000033 | -5.71% | |
0.00007509 | 0.05% | |
0.00000000009034 | 53.67% | |
0.000987 | -2.47% | |
0.008202 | -2.96% | |
0.580 | -3.01% | |
0.0001300 | -13.91% | |
0.1866 | -2.71% | |
0.01364 | 1.72% | |
0.0004 | 0.00% | |
3498.00 | 1.69% | |
1.1216 | -0.18% | |
0.00000000000150 | 13.64% | |
0.17124 | -5.15% | |
0.0722 | -3.48% | |
0.0003010 | 30.87% | |
8.934 | 2.70% | |
0.000000000004853 | 18.89% | |
0.002290 | -4.10% | |
0.2203 | -1.61% | |
0.3164 | -1.92% | |
0.00203 | 1.50% | |
0.00000004238 | -4.23% | |
0.0005646 | 0.02% | |
0.0047 | 0.00% | |
0.002513 | -10.89% | |
0.00000900 | -7.22% | |
0.00003481 | -4.47% | |
0.00000000000033 | -17.50% | |
0.0430 | 0.00% | |
0.1794 | -1.86% | |
0.001413 | -5.48% | |
0.15845 | -0.14% | |
0.001250 | 0.00% | |
1.194 | 0.00% | |
0.004068 | -1.83% | |
0.00815 | -4.68% | |
0.0686 | -5.12% | |
0.003399 | -1.59% | |
0.000589 | -5.00% | |
0.00003 | 50.00% | |
0.0009 | 0.00% | |
0.0001858 | 0.05% | |
0.00711 | -0.97% | |
5.338 | -1.60% | |
0.000000003640 | 0.08% | |
0.02415 | -2.58% | |
8.15 | -1.57% | |
0.02467 | -10.75% | |
0.003611 | -3.09% | |
0.0019 | 0.00% | |
2.9211 | -2.53% | |
0.1658 | -5.09% | |
1.010 | -3.16% | |
0.0001876 | -12.05% | |
0.003999 | 0.86% | |
0.00002289 | -0.99% | |
0.010588 | 5.02% | |
0.001296 | 70.75% | |
0.9615 | -0.06% | |
0.000301 | 0.33% | |
0.1446 | -3.34% | |
0.000000000244 | -0.41% | |
0.00000000000011 | 0.00% | |
0.0021780 | 0.55% | |
0.05194 | -3.06% | |
0.000038 | -9.52% | |
0.02237 | -1.67% | |
0.02296 | -2.21% | |
0.000000001835 | -3.52% | |
1.3810 | -1.67% | |
0.0000134 | -0.74% | |
0.1024 | -2.01% | |
0.9749 | -1.47% | |
0.0000182 | -7.61% | |
0.48069 | -0.09% | |
0.4936 | -0.74% | |
0.0005 | 25.00% | |
0.001940 | 11.37% | |
0.002642 | -10.47% | |
0.00759 | 6.45% | |
0.0598 | -3.08% | |
0.000000000797 | 0.76% | |
0.1047 | -0.29% | |
0.1420 | 0.00% | |
0.002650 | -7.60% | |
0.05800 | 0.00% | |
0.000000000021 | -4.55% | |
0.000060 | 0.00% | |
0.000000002130 | 1.57% | |
0.0062 | 3.33% | |
0.03447 | -2.24% | |
0.0000000041001 | 0.00% | |
6.01 | -1.31% | |
0.001718 | -2.72% | |
0.267 | 0.38% | |
0.0089 | -3.26% | |
0.000378 | -40.94% | |
0.266 | -2.92% | |
0.0165 | 0.00% | |
0.00000008076 | 0.00% | |
0.5563 | -1.78% | |
0.000120 | -5.51% | |
0.05682 | 0.04% | |
0.8438 | 1.10% | |
0.04948 | -1.59% | |
0.0858 | -3.05% | |
0.05111 | 0.00% | |
0.002512 | -6.58% | |
0.000003873 | -2.91% | |
0.010265 | 0.66% | |
106.43 | -0.88% | |
0.00007270 | -31.41% | |
0.000435 | 2.59% | |
0.000000001050 | -19.23% | |
0.000016 | 0.00% | |
0.000000000892 | -5.31% | |
0.00489 | 2.73% | |
0.0011725 | -9.72% | |
0.02817 | -8.00% | |
0.001754 | -5.70% | |
0.0001650 | 3.13% | |
0.0000759 | 0.00% | |
0.000000000022 | 0.00% | |
0.000435 | 1.16% | |
0.000083284 | -1.91% | |
0.00003030 | 0.00% | |
0.0000210 | -4.55% | |
0.0078 | 1.30% | |
0.0000000114 | -2.56% | |
0.00023 | -17.86% | |
0.01290 | 0.00% | |
0.00081 | 0.00% | |
0.0001160 | -48.38% | |
1.174 | -5.40% | |
0.00100 | 0.00% | |
0.0000000189 | 9.88% | |
0.004300 | 0.00% | |
0.0000300 | 3.09% | |
0.00446 | -0.22% | |
0.009700 | -2.02% | |
0.00838 | 0.36% | |
0.3250 | 8.30% | |
0.00000000000225 | -0.88% | |
0.0070 | 0.00% | |
0.0065 | -30.85% | |
0.00000392 | 0.77% | |
0.000057 | 50.00% | |
0.003015 | 3.08% | |
0.00199 | -0.50% | |
0.003144 | -10.04% | |
0.000148 | 5.71% | |
0.0000001884 | 39.45% | |
0.000138 | 30.19% | |
0.00007 | 0.00% | |
0.001000 | 0.00% | |
0.00000153 | 0.00% | |
0.000087 | 1.16% | |
0.000029 | 3.57% | |
0.000257 | 6.64% | |
0.000918 | 0.00% | |
0.00005 | 25.00% | |
0.00002 | -33.33% | |
0.0001598 | -39.17% | |
0.000024 | 50.00% | |
0.0059 | -1.67% | |
0.000237 | -3.66% | |
0.000160 | -2.44% | |
0.0000499 | 48.51% | |
0.00000042 | 0.00% | |
0.000410 | 5.13% | |
0.00018 | 0.00% | |
0.000000000154 | 1.32% | |
0.00760 | -49.33% | |
0.0026 | 85.71% | |
0.0040 | 5.26% | |
0.000011 | 0.00% | |
0.005667 | -11.23% | |
0.06366 | -1.10% | |
0.0439 | -5.39% | |
0.07317 | 1.89% | |
0.03442 | -8.29% | |
0.06690 | -2.92% | |
2.600 | -2.77% | |
0.02461 | 1.99% | |
0.00644 | -1.53% | |
0.1250 | -5.94% | |
0.0567 | -4.71% | |
1.1268 | -5.56% | |
0.00351 | -3.84% | |
0.0883 | -4.95% | |
0.03206 | -3.81% | |
0.3997 | -3.78% | |
0.0801 | 0.00% | |
0.5875 | 0.38% | |
0.000992 | 0.92% | |
58.5600 | 0.00% | |
0.06114 | -6.28% | |
0.1949 | -2.94% | |
0.001686 | -2.66% | |
0.02658 | -11.64% | |
0.006103 | -2.16% | |
0.01903 | -4.23% | |
0.0001405 | 0.00% | |
0.0267 | 0.00% | |
0.00745 | -3.87% | |
0.0005221 | 0.00% | |
0.003774 | -5.84% | |
0.00126 | 0.00% | |
0.000070 | 0.00% | |
0.0007993 | 0.00% | |
0.0000215 | 0.00% | |
0.0000648 | 0.00% | |
0.0952 | 0.00% | |
0.001433 | 5.68% | |
0.5987 | -0.73% | |
0.5449 | -3.15% | |
0.004517 | -8.34% | |
0.0670 | -8.22% | |
0.03901 | -7.67% | |
0.001794 | -36.92% | |
0.3995 | -3.43% | |
0.0002741 | 6.16% | |
0.001327 | -5.89% | |
0.04989 | 3.16% | |
2.8124 | 4.66% | |
0.3983 | 2.92% | |
7.98 | -3.51% | |
0.04840 | 0.60% | |
0.5271 | 3.62% | |
0.0250 | -4.94% | |
0.03281 | -3.61% | |
0.3496 | 0.00% | |
0.3196 | -1.45% | |
0.0324 | -0.31% | |
0.792 | -3.18% | |
2.100 | -2.10% | |
186.8101 | -2.90% | |
0.001397 | -17.58% | |
0.02198 | -8.34% | |
0.00147 | 3.52% | |
0.0452 | -4.24% | |
0.1268 | 13.62% | |
0.00350 | -8.14% | |
3.5117 | 0.00% | |
0.516 | -0.19% | |
0.3771 | 0.00% | |
0.5732 | 0.00% | |
50.094 | -0.23% | |
0.05610 | -4.17% | |
0.000000013 | 0.00% | |
0.0000370 | 0.00% | |
0.005113 | 2.42% | |
0.07131 | 1.35% | |
0.6352 | -1.49% | |
0.0299 | 0.00% | |
0.00000000015641 | 0.00% | |
0.00000000001183 | 0.00% | |
1.2001 | 0.00% | |
3.9889 | 0.00% | |
0.02233 | 1.36% | |
0.4424 | 0.00% | |
0.0528 | -3.65% | |
0.1029 | -4.63% | |
0.0258 | -2.64% | |
0.0005369 | -1.25% | |
0.1780 | -3.37% | |
0.0070 | 0.00% | |
0.611 | 0.00% | |
0.2109 | -2.59% | |
0.0511 | -1.73% | |
0.1825 | -1.03% | |
0.003559 | -1.03% | |
0.1838 | 0.44% | |
0.7663 | 0.00% | |
0.1204 | 0.00% | |
2.288 | -1.97% | |
0.885 | -2.75% | |
0.002204 | 0.00% | |
0.000410 | 0.00% | |
0.00035 | 0.00% | |
0.0093 | 0.00% | |
0.000000031 | 0.00% | |
0.0011 | 0.00% | |
0.00090 | 0.00% | |
0.002609 | 0.00% | |
0.0000138 | 0.00% | |
0.000908 | 0.00% | |
0.0034 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001018 | 0.00% | |
0.00028000 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.2365 | 0.13% | |
0.000526 | -3.49% | |
0.001717 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.00013045 | 0.00% | |
0.00000000040 | 0.00% | |
0.00008899 | 0.00% | |
0.00000000001000 | 0.00% | |
0.000900 | 0.00% | |
0.0000000054 | 0.00% | |
0.3344 | 0.00% | |
0.00018999 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000003 | 0.00% | |
0.0000008280 | -0.89% | |
0.001200 | 0.00% | |
1.6799 | 0.00% | |
0.0053038 | 0.00% | |
0.001922 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.2029 | 0.00% | |
0.00006767 | 0.00% | |
0.0038 | 0.00% | |
0.001721 | 0.00% | |
0.00165 | 0.00% | |
0.05056 | 0.00% | |
0.000022 | 0.00% | |
0.001234 | 0.00% | |
0.002119 | 0.00% | |
0.021088 | 0.00% | |
0.0003 | 0.00% | |
0.0006 | 0.00% | |
0.0240 | 0.00% | |
0.015928 | 0.00% | |
0.01685 | 0.00% | |
0.9996 | 0.00% | |
0.000363 | 0.00% | |
0.0048 | 0.00% | |
1.1488 | 0.00% | |
0.03515 | 0.00% | |
0.0786 | 0.00% | |
0.000376 | 0.00% | |
65.1101 | 0.00% | |
0.0468 | 0.00% | |
0.00005122 | 0.00% | |
0.001532 | 0.00% | |
0.030000 | 0.00% | |
4.4023 | 0.00% | |
0.0745 | 0.00% | |
0.002530 | 0.00% | |
0.3845 | 0.00% | |
0.1757 | 0.00% | |
2.2869 | 0.00% | |
0.0096 | 0.00% | |
0.000046 | 0.00% | |
0.003782 | 0.67% | |
16.2920 | 0.00% | |
1.76670591 | 0.00% | |
1.1005 | 0.00% | |
0.000399 | 0.00% | |
0.0037 | 0.00% | |
1.959 | 0.00% | |
0.6700 | 0.00% | |
0.000049 | 0.00% | |
0.01989 | 0.00% | |
0.0008 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.01500 | 0.00% | |
0.0000565 | 0.00% | |
0.0650 | 0.00% | |
0.9900 | 0.00% | |
0.010200 | 0.00% | |
0.88686 | 0.00% | |
0.013368 | 0.00% | |
0.00483 | 0.00% | |
0.1728 | 0.00% | |
0.0166 | 0.00% | |
0.04851 | 0.00% | |
0.001016 | 0.00% | |
0.000001000 | 0.00% | |
0.0000008 | 0.00% | |
1.3256 | 0.83% | |
0.00470 | 0.00% | |
0.017955 | 0.00% | |
0.00290 | 0.00% | |
1.288 | 0.00% | |
0.00236 | 0.00% | |
0.00869 | 0.00% | |
0.5135 | 0.00% | |
0.1907 | 0.00% | |
0.000001340 | -0.15% | |
0.0023 | 0.00% | |
0.00169 | 0.00% | |
0.00023806 | 0.00% | |
0.003984 | 0.00% | |
0.0000345 | 0.00% | |
0.0900 | 0.00% | |
0.05000 | 0.00% | |
0.001499 | 0.00% | |
2753.48 | 0.00% | |
0.00090 | 0.00% | |
200.01 | 0.00% | |
0.01450 | 0.00% | |
0.0000000500 | 0.00% | |
0.000089 | 0.00% | |
0.025980 | 0.00% | |
0.0001608 | 0.00% | |
0.000426832 | 0.00% | |
0.038168 | 0.00% | |
0.00561 | 0.00% | |
0.0203 | 0.00% | |
0.22288 | 0.00% | |
0.1600 | 0.00% | |
0.0000015 | 0.00% | |
0.0030192 | 0.00% | |
18.3198 | 0.00% | |
0.000036 | 0.00% | |
0.0019410 | 0.00% | |
0.000700 | 0.00% | |
0.002552 | 0.00% | |
0.1300 | 0.00% | |
0.00140 | 0.00% | |
0.0529 | 0.00% | |
0.00172 | 0.00% | |
1.5000 | 0.00% | |
1.5902 | 0.00% | |
0.00099 | 0.00% | |
0.000167 | 0.00% | |
0.0000485 | 0.00% | |
0.00063 | 0.00% | |
0.000103 | 0.00% | |
0.000060291 | 0.00% | |
0.00713 | 0.00% | |
0.00020 | 0.00% | |
0.0002983 | 0.00% | |
1.4468 | 0.00% | |
3.0825 | 0.00% | |
0.04718 | 0.00% | |
1.0143 | -0.22% | |
0.9999 | 0.00% | |
0.250 | 0.00% | |
0.6569 | -1.44% | |
0.2503 | -2.61% | |
0.0017 | 0.00% | |
0.4758 | 0.00% | |
0.4858 | -1.38% | |
0.00206 | 0.00% | |
7.97 | 0.00% | |
0.02190 | -2.01% | |
4700.00 | 0.00% | |
1.098 | 1.39% | |
0.0088 | 0.00% | |
19.177 | -2.26% | |
0.0348 | -1.97% |