K13n2524
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Polynomial invariants
| Jones polynomial | Data:K13n2524/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+27 t-33+27 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2524/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-2 a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +z^4+a^4 z^2-3 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} -2 z^2+a^4+2 a^{-2} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+5 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9-a z^9+z^9 a^{-1} +5 z^9 a^{-3} +a^4 z^8-16 a^2 z^8-15 z^8 a^{-2} +3 z^8 a^{-4} -35 z^8-14 a^3 z^7-21 a z^7-19 z^7 a^{-1} -11 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+15 a^2 z^6+22 z^6 a^{-2} -z^6 a^{-4} +43 z^6+20 a^3 z^5+34 a z^5+21 z^5 a^{-1} +11 z^5 a^{-3} +4 z^5 a^{-5} +8 a^4 z^4+a^2 z^4-29 z^4 a^{-2} -2 z^4 a^{-4} +4 z^4 a^{-6} -30 z^4-10 a^3 z^3-15 a z^3-12 z^3 a^{-1} -10 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -5 a^4 z^2-2 a^2 z^2+14 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +14 z^2+2 a^3 z+2 a z+2 z a^{-1} +3 z a^{-3} +z a^{-5} +a^4-2 a^{-2} -2 }[/math] |
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