K13n2756
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Polynomial invariants
| Jones polynomial | Data:K13n2756/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-11 t^2+9 t-7+9 t^{-1} -11 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2756/Conway Polynomial |
| Determinant | 75 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +25 z^6 a^{-6} -7 z^6 a^{-8} -12 z^4 a^{-4} +41 z^4 a^{-6} -17 z^4 a^{-8} +z^4 a^{-10} -10 z^2 a^{-4} +35 z^2 a^{-6} -20 z^2 a^{-8} +2 z^2 a^{-10} -3 a^{-4} +12 a^{-6} -10 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +10 z^{10} a^{-6} +7 z^{10} a^{-8} +z^9 a^{-3} -5 z^9 a^{-5} +3 z^9 a^{-7} +9 z^9 a^{-9} -18 z^8 a^{-4} -55 z^8 a^{-6} -32 z^8 a^{-8} +5 z^8 a^{-10} -6 z^7 a^{-3} -17 z^7 a^{-5} -58 z^7 a^{-7} -46 z^7 a^{-9} +z^7 a^{-11} +37 z^6 a^{-4} +96 z^6 a^{-6} +36 z^6 a^{-8} -23 z^6 a^{-10} +13 z^5 a^{-3} +59 z^5 a^{-5} +117 z^5 a^{-7} +67 z^5 a^{-9} -4 z^5 a^{-11} -32 z^4 a^{-4} -74 z^4 a^{-6} -19 z^4 a^{-8} +23 z^4 a^{-10} -12 z^3 a^{-3} -53 z^3 a^{-5} -83 z^3 a^{-7} -42 z^3 a^{-9} +12 z^2 a^{-4} +37 z^2 a^{-6} +21 z^2 a^{-8} -6 z^2 a^{-10} -2 z^2 a^{-12} +4 z a^{-3} +14 z a^{-5} +23 z a^{-7} +13 z a^{-9} -3 a^{-4} -12 a^{-6} -10 a^{-8} -2 a^{-10} }[/math] |
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