K13n2136
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Polynomial invariants
| Jones polynomial | Data:K13n2136/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+25 t^2-48 t+59-48 t^{-1} +25 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2136/Conway Polynomial |
| Determinant | 221 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +4 z^6 a^{-6} -2 z^6 a^{-8} -z^4 a^{-4} +7 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +2 a^{-4} - a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +13 z^{10} a^{-8} +9 z^{10} a^{-10} +2 z^9 a^{-5} +10 z^9 a^{-7} +24 z^9 a^{-9} +16 z^9 a^{-11} -3 z^8 a^{-6} -11 z^8 a^{-8} +6 z^8 a^{-10} +14 z^8 a^{-12} +3 z^7 a^{-5} -20 z^7 a^{-7} -54 z^7 a^{-9} -25 z^7 a^{-11} +6 z^7 a^{-13} +6 z^6 a^{-4} +9 z^6 a^{-6} -16 z^6 a^{-8} -45 z^6 a^{-10} -25 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} -z^5 a^{-5} +16 z^5 a^{-7} +25 z^5 a^{-9} -7 z^5 a^{-13} -6 z^4 a^{-4} -6 z^4 a^{-6} +23 z^4 a^{-8} +31 z^4 a^{-10} +8 z^4 a^{-12} -z^3 a^{-3} -2 z^3 a^{-5} -2 z^3 a^{-7} +5 z^3 a^{-9} +6 z^3 a^{-11} -2 z^2 a^{-4} -z^2 a^{-6} -7 z^2 a^{-8} -7 z^2 a^{-10} +z^2 a^{-12} -z a^{-5} -z a^{-7} -3 z a^{-9} -2 z a^{-11} +z a^{-13} +2 a^{-4} + a^{-6} + a^{-8} + a^{-10} }[/math] |
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