K13n4174
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Polynomial invariants
| Jones polynomial | Data:K13n4174/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-13 t+17-13 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n4174/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^6 a^{-8} +7 z^4 a^{-6} -4 z^4 a^{-8} +2 z^4 a^{-10} +11 z^2 a^{-6} -7 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +4 a^{-6} -4 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +4 z^9 a^{-11} +3 z^9 a^{-13} -z^8 a^{-8} -2 z^8 a^{-10} +2 z^8 a^{-12} +3 z^8 a^{-14} -z^7 a^{-7} -3 z^7 a^{-9} -12 z^7 a^{-11} -9 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-6} +7 z^6 a^{-8} +z^6 a^{-10} -17 z^6 a^{-12} -12 z^6 a^{-14} +4 z^5 a^{-7} +4 z^5 a^{-9} +5 z^5 a^{-11} +z^5 a^{-13} -4 z^5 a^{-15} -7 z^4 a^{-6} -13 z^4 a^{-8} -5 z^4 a^{-10} +14 z^4 a^{-12} +13 z^4 a^{-14} -3 z^3 a^{-7} -2 z^3 a^{-9} +2 z^3 a^{-11} +6 z^3 a^{-13} +5 z^3 a^{-15} +12 z^2 a^{-6} +13 z^2 a^{-8} +5 z^2 a^{-10} -4 z^2 a^{-14} +2 z a^{-7} -z a^{-11} -z a^{-13} -2 z a^{-15} -4 a^{-6} -4 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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