Based on the Gann theory of price segmentation and time cycle, the subsequent support levels for the decline of this cryptocurrency and the analysis of rebound time cycles are as follows. Please note that the volatility of virtual currencies is extremely high, and the analysis is merely a theoretical deduction and does not constitute investment advice:

1. The core support level for continued decline in the later period (Gann price segmentation rule)

In Gann's theory, the price range from important highs to lows is divided into proportions such as 1/8, 2/8...7/8, and under extreme market conditions, it may extend to multiples or fractional relationships. Using the high point of $238 and the current $1.3 as core anchor points, the support level analysis is as follows:

1. First Support Level (0.875 Fractional Extension Level): Previously, the price dropped from $238 to $1.3, a decline of $236.7. According to Gann's core ratio of 8 equal parts, 0.875 is a strong support extension level, corresponding to a price of approximately $0.7. This position is a key battleground for short-term declines; if broken, it enters a deep decline zone.

2. Second Support Level (0.9375 Extreme Fractional Level): As an extreme ratio for Gann's price divisions, it corresponds to a price of approximately $0.3. This price level is close to the 'zero boundary' and is considered ultra-extreme support, likely only to be touched when there are no positive market developments and panic sentiment spreads.

3. Ultimate Support Level (Fractional Extension Level): Gann emphasized that fractional relationships can be infinitely reduced, and the ultimate support is likely in the $0.1 - $0.05 range. This range is essentially an extreme testing point of the asset's value, with a very low probability of triggering. If touched, it is highly likely that the market will either consolidate for the long term or gradually withdraw.

2. Subsequent rebound time cycle (Gann's Time Cycle Theory)

Gann believes that in a bear market, rebound cycles are often concentrated in the short and medium term, while long-term rebounds require large cycle resonance. Considering that this asset has been in decline for over 5 years, the projected rebound time cycle is as follows:

1. Short-term Rebound Cycle: Gann pointed out that in a major bear market, short-term rebounds often last 3 - 4 months. This asset has been in a long-term decline, and if a rebound is triggered in the short term, it is likely to be a weak rebound, concentrated in the 3 - 4 months timeframe, often caused by short-term speculative trading or emotional recovery in the market, making it easy to fall back after the rebound.

2. Medium-term Rebound Cycle: Gann's medium-term cycle includes key nodes of 7 months, 1 year, etc. If the short-term rebound stabilizes at a low level, a medium-term rebound may follow, likely occurring around the 7-month or 1-year points. These two nodes are common reversal windows after market sentiment and funds have regained strength, and the rebound strength may exceed that of the short-term rebound.

3. Long-term Rebound Cycle: Gann's core long-term cycles include 5 years, 7 years, and 10 years. This asset has currently been in decline for over 5 years, and the next key long-term rebound cycles are at the 7-year and 10-year decline points. Only at these two cycle points might there be a strong rebound that changes the long-term downtrend, especially if industry-level positive developments coincide at that time, the rebound cycle may extend 1 - 2 years.