K13n4081
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Polynomial invariants
| Jones polynomial | Data:K13n4081/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+36 t-47+36 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4081/Conway Polynomial |
| Determinant | 151 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4-2 z^4 a^{-4} +z^4-2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +3 z^{10} a^{-4} +7 z^{10}+9 a z^9+9 z^9 a^{-1} +z^9 a^{-3} +z^9 a^{-5} +5 a^2 z^8-25 z^8 a^{-2} -4 z^8 a^{-4} -16 z^8+a^3 z^7-30 a z^7-43 z^7 a^{-1} -4 z^7 a^{-3} +8 z^7 a^{-5} -15 a^2 z^6+15 z^6 a^{-2} +12 z^6 a^{-4} +9 z^6 a^{-6} -3 z^6-2 a^3 z^5+25 a z^5+40 z^5 a^{-1} -2 z^5 a^{-3} -11 z^5 a^{-5} +4 z^5 a^{-7} +9 a^2 z^4+z^4 a^{-2} -15 z^4 a^{-4} -10 z^4 a^{-6} +z^4 a^{-8} +14 z^4-4 a z^3-8 z^3 a^{-1} +3 z^3 a^{-3} +5 z^3 a^{-5} -2 z^3 a^{-7} +a^2 z^2-4 z^2 a^{-2} +3 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2-a z-z a^{-1} -z a^{-3} -z a^{-5} -a^2+ a^{-2} + a^{-4} }[/math] |
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