K13n3462
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Polynomial invariants
| Jones polynomial | Data:K13n3462/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-26 t+31-26 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3462/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} -3 z^2 a^{-2} +10 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} - a^{-2} +4 a^{-4} - a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +6 z^{10} a^{-6} +2 z^{10} a^{-8} +6 z^9 a^{-3} +9 z^9 a^{-5} +4 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-2} -2 z^8 a^{-4} -10 z^8 a^{-6} -4 z^8 a^{-8} +z^7 a^{-1} -16 z^7 a^{-3} -31 z^7 a^{-5} -16 z^7 a^{-7} -2 z^7 a^{-9} -13 z^6 a^{-2} -25 z^6 a^{-4} -5 z^6 a^{-6} +8 z^6 a^{-8} +z^6 a^{-10} -3 z^5 a^{-1} +5 z^5 a^{-3} +20 z^5 a^{-5} +23 z^5 a^{-7} +11 z^5 a^{-9} +13 z^4 a^{-2} +30 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} +4 z^4 a^{-10} +3 z^3 a^{-1} +6 z^3 a^{-3} -3 z^3 a^{-5} -16 z^3 a^{-7} -8 z^3 a^{-9} +2 z^3 a^{-11} -5 z^2 a^{-2} -14 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} -2 z^2 a^{-10} -z a^{-1} -2 z a^{-3} -z a^{-5} +4 z a^{-7} +3 z a^{-9} -z a^{-11} + a^{-2} +4 a^{-4} + a^{-6} - a^{-8} }[/math] |
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