How to calculate the next 3 terms using term relation data of this sequence?

The sequence you've provided appears to be a complex one and doesn't seem to follow a straightforward formula or pattern as in arithmetic or geometric progressions. To determine the next few terms here, we need to establish or identify specific term-to-term relations or ratios. This is easier in simpler sequences where each term increases by a constant difference (arithmetic sequences) or each term is a constant multiple of the previous one (geometric sequences). In complex cases as in this sequence, the patterns require more advanced analytical methods. Depending on the nature of complexity, these can include techniques like recursive formulas, formulas based on number theory, or even identifying if the sequence is derived from other known mathematical functions or sequences. However, in absence of the method or pattern used to generate this series, predicting the next terms of the sequence is a fraught exercise. It could require complex algorithms or exhaustive computational power, and even then, without knowing the rule, there's no guarantee that the calculated results would be correct. I recommend if you have any further context or pattern information regarding this sequence, it might aid in determining the next terms more accurately. Otherwise, this seems to need an extensive mathematical or statistical analysis.