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The heptoogol regiment is a series of numbers from E100#^(7)100 to E100#^(8)10 defined using Extended Hyper-E Notation (i.e. beginning from heptoogol and up to heptoodekol).[1][2] The numbers were coined by Sbiis Saibian.

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List of numbers of the regiment

 Name of number Extended Hyper-E Notation (definition) Fast-growing hierarchy (approximation) heptoogol E100#^(7)100 $$f_{\omega^6}(100)$$ grand heptoogol E100#^(7)100#2 $$f_{\omega^6}^2(100)$$ heptrangol E100#^(7)100#100 $$f_{\omega^6+1}(100)$$ heptreagol E100#^(7)100#100#100 $$f_{\omega^6+2}(100)$$ heptigangol E100#^(7)100#100#100#100 $$f_{\omega^6+3}(100)$$ heptorgegol E100#^(7)100##5 $$f_{\omega^6+4}(100)$$ heptulgol E100#^(7)100##6 $$f_{\omega^6+5}(100)$$ heptaspgol E100#^(7)100##7 $$f_{\omega^6+6}(100)$$ heptinorgol E100#^(7)100##8 $$f_{\omega^6+7}(100)$$ heptargantuul E100#^(7)100##9 $$f_{\omega^6+8}(100)$$ heptoogondol E100#^(7)100##10 $$f_{\omega^6+9}(100)$$ heptugold E100#^(7)100##100 $$f_{\omega^6+99}(100)$$ heptugolthra E100#^(7)100##100##100 $$f_{\omega^6+\omega2}(100)$$ heptugoltesla E100#^(7)100##100##100##100 $$f_{\omega^6+\omega3}(100)$$ heptugolpeta E100#^(7)100###5 $$f_{\omega^6+\omega4}(100)$$ heptugolhexa E100#^(7)100###6 $$f_{\omega^6+\omega5}(100)$$ heptugolhepta E100#^(7)100###7 $$f_{\omega^6+\omega6}(100)$$ heptugolocta E100#^(7)100###8 $$f_{\omega^6+\omega7}(100)$$ heptugolenna E100#^(7)100###9 $$f_{\omega^6+\omega8}(100)$$ heptugoldeka E100#^(7)100###10 $$f_{\omega^6+\omega9}(100)$$ heptithroogol E100#^(7)100###100 $$f_{\omega^6+\omega99}(100)$$ heptithrootrigol E100#^(7)100###100###100 $$f_{\omega^6+\omega^22}(100)$$ heptithrootergol E100#^(7)100###100###100###100 $$f_{\omega^6+\omega^23}(100)$$ heptithroopetol E100#^(7)100####5 $$f_{\omega^6+\omega^24}(100)$$ heptithroohexol E100#^(7)100####6 $$f_{\omega^6+\omega^25}(100)$$ heptithrooheptgol E100#^(7)100####7 $$f_{\omega^6+\omega^26}(100)$$ heptithroogogdol E100#^(7)100####8 $$f_{\omega^6+\omega^27}(100)$$ heptithroogentol E100#^(7)100####9 $$f_{\omega^6+\omega^28}(100)$$ heptithroodekol E100#^(7)100####10 $$f_{\omega^6+\omega^29}(100)$$ heptitetroogol E100#^(7)100####100 $$f_{\omega^6+\omega^299}(100)$$ heptitetrootrigol E100#^(7)100####100####100 $$f_{\omega^6+\omega^32}(100)$$ heptitetrootergol E100#^(7)100####100####100####100 $$f_{\omega^6+\omega^33}(100)$$ heptitetroopetol E100#^(7)100#####5 $$f_{\omega^6+\omega^34}(100)$$ heptitetroohexol E100#^(7)100#####6 $$f_{\omega^6+\omega^35}(100)$$ heptitetrooheptgol E100#^(7)100#####7 $$f_{\omega^6+\omega^36}(100)$$ heptitetroogogdol E100#^(7)100#####8 $$f_{\omega^6+\omega^37}(100)$$ heptitetroogentol E100#^(7)100#####9 $$f_{\omega^6+\omega^38}(100)$$ heptitetroodekol E100#^(7)100#####10 $$f_{\omega^6+\omega^39}(100)$$ heptipentoogol E100#^(7)100#####100 $$f_{\omega^6+\omega^399}(100)$$ heptipentootrigol E100#^(7)100#####100#####100 $$f_{\omega^6+\omega^42}(100)$$ heptipentootergol E100#^(7)100#####100#####100#####100 $$f_{\omega^6+\omega^43}(100)$$ heptipentoopetol E100#^(7)100#^(6)5 $$f_{\omega^6+\omega^44}(100)$$ heptipentoohexol E100#^(7)100#^(6)6 $$f_{\omega^6+\omega^45}(100)$$ heptipentooheptgol E100#^(7)100#^(6)7 $$f_{\omega^6+\omega^46}(100)$$ heptipentoogogdol E100#^(7)100#^(6)8 $$f_{\omega^6+\omega^47}(100)$$ heptipentoogentol E100#^(7)100#^(6)9 $$f_{\omega^6+\omega^48}(100)$$ heptipentoodekol E100#^(7)100#^(6)10 $$f_{\omega^6+\omega^49}(100)$$ heptihexoogol E100#^(7)100#^(6)100 $$f_{\omega^6+\omega^499}(100)$$ heptihexootrigol E100#^(7)100#^(6)100#^(6)100 $$f_{\omega^6+\omega^52}(100)$$ heptihexootergol E100#^(7)100#^(6)100#^(6)100#^(6)100 $$f_{\omega^6+\omega^53}(100)$$ heptihexoopetol E100#^(7)100#^(7)5 $$f_{\omega^6+\omega^54}(100)$$ heptihexoohexol E100#^(7)100#^(7)6 $$f_{\omega^6+\omega^55}(100)$$ heptihexooheptgol E100#^(7)100#^(7)7 $$f_{\omega^6+\omega^56}(100)$$ heptihexoogogdol E100#^(7)100#^(7)8 $$f_{\omega^6+\omega^57}(100)$$ heptihexoogentol E100#^(7)100#^(7)9 $$f_{\omega^6+\omega^58}(100)$$ heptihexoodekol E100#^(7)100#^(7)10 $$f_{\omega^6+\omega^59}(100)$$ heptootrigol E100#^(7)100#^(7)100 $$f_{\omega^62}(100)$$ heptootergol E100#^(7)100#^(7)100#^(7)100 $$f_{\omega^63}(100)$$ heptoopetol E100#^(8)5 $$f_{\omega^64}(100)$$ heptoohexol E100#^(8)6 $$f_{\omega^65}(100)$$ heptooheptgol E100#^(8)7 $$f_{\omega^66}(100)$$ heptoogogdol E100#^(8)8 $$f_{\omega^67}(100)$$ heptoogentol E100#^(8)9 $$f_{\omega^68}(100)$$ heptoodekol E100#^(8)10 $$f_{\omega^69}(100)$$

Sources

1. Saibian, Sbiis. Extended Hyper-E Numbers. Retrieved 2017-09-11.
2. Sbiis Saibian's Ultimate Large Numbers List - Part I