K13n4041
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Polynomial invariants
| Jones polynomial | Data:K13n4041/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+44 t-53+44 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4041/Conway Polynomial |
| Determinant | 203 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +2 z^6 a^{-4} +z^6-7 z^4 a^{-2} +5 z^4 a^{-4} -z^4 a^{-6} +2 z^4-6 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +2 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +9 z^{10} a^{-2} +12 z^{10} a^{-4} +3 z^{10} a^{-6} +15 z^9 a^{-1} +20 z^9 a^{-3} +6 z^9 a^{-5} +z^9 a^{-7} -3 z^8 a^{-2} -16 z^8 a^{-4} -z^8 a^{-6} +12 z^8+5 a z^7-31 z^7 a^{-1} -53 z^7 a^{-3} -11 z^7 a^{-5} +6 z^7 a^{-7} +a^2 z^6-27 z^6 a^{-2} +7 z^6 a^{-6} +5 z^6 a^{-8} -24 z^6-7 a z^5+18 z^5 a^{-1} +41 z^5 a^{-3} +9 z^5 a^{-5} -6 z^5 a^{-7} +z^5 a^{-9} -a^2 z^4+27 z^4 a^{-2} +11 z^4 a^{-4} -8 z^4 a^{-6} -6 z^4 a^{-8} +13 z^4+a z^3-6 z^3 a^{-1} -9 z^3 a^{-3} -z^3 a^{-5} -z^3 a^{-9} -11 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +z^2 a^{-8} -5 z^2-z a^{-3} -z a^{-5} +2 a^{-2} + a^{-4} +2 }[/math] |
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