K13n1513
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Polynomial invariants
| Jones polynomial | Data:K13n1513/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-16 t+25-16 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1513/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^4-3 z^2 a^2-2 a^2+2 z^4+2 z^2+1+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} -2 z^2 a^{-4} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+4 z^9 a^{-1} +2 z^9 a^{-3} +a^2 z^8-z^8 a^{-2} +z^8 a^{-4} -z^8-8 a z^7-13 z^7 a^{-1} -5 z^7 a^{-3} -2 a^2 z^6+3 z^6 a^{-2} +2 z^6 a^{-4} -z^6+3 a^3 z^5+20 a z^5+21 z^5 a^{-1} +7 z^5 a^{-3} +3 z^5 a^{-5} +a^4 z^4+8 a^2 z^4-10 z^4 a^{-2} -12 z^4 a^{-4} +9 z^4-5 a^3 z^3-16 a z^3-14 z^3 a^{-1} -10 z^3 a^{-3} -7 z^3 a^{-5} -2 a^4 z^2-9 a^2 z^2+9 z^2 a^{-2} +8 z^2 a^{-4} -6 z^2+2 a^3 z+4 a z+4 z a^{-1} +4 z a^{-3} +2 z a^{-5} +a^4+2 a^2-2 a^{-2} - a^{-4} +1 }[/math] |
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