K13n1089
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Polynomial invariants
| Jones polynomial | Data:K13n1089/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-16 t^2+34 t-43+34 t^{-1} -16 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1089/Conway Polynomial |
| Determinant | 151 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +2 z^6 a^{-6} -2 z^4 a^{-2} +7 z^4 a^{-4} +6 z^4 a^{-6} -3 z^4 a^{-8} -4 z^2 a^{-2} +10 z^2 a^{-4} +6 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} -2 a^{-2} +5 a^{-4} + a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +7 z^{10} a^{-6} +12 z^{10} a^{-8} +5 z^{10} a^{-10} +10 z^9 a^{-5} +12 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +9 z^8 a^{-4} -11 z^8 a^{-6} -39 z^8 a^{-8} -18 z^8 a^{-10} +z^8 a^{-12} +5 z^7 a^{-3} -22 z^7 a^{-5} -59 z^7 a^{-7} -50 z^7 a^{-9} -18 z^7 a^{-11} +z^6 a^{-2} -18 z^6 a^{-4} -5 z^6 a^{-6} +32 z^6 a^{-8} +14 z^6 a^{-10} -4 z^6 a^{-12} -5 z^5 a^{-3} +16 z^5 a^{-5} +73 z^5 a^{-7} +78 z^5 a^{-9} +26 z^5 a^{-11} +6 z^4 a^{-2} +20 z^4 a^{-4} +3 z^4 a^{-6} -11 z^4 a^{-8} +5 z^4 a^{-10} +5 z^4 a^{-12} +3 z^3 a^{-1} +9 z^3 a^{-3} -7 z^3 a^{-5} -46 z^3 a^{-7} -46 z^3 a^{-9} -13 z^3 a^{-11} -5 z^2 a^{-2} -13 z^2 a^{-4} +z^2 a^{-6} +8 z^2 a^{-8} -3 z^2 a^{-10} -2 z^2 a^{-12} -2 z a^{-1} -4 z a^{-3} +12 z a^{-7} +12 z a^{-9} +2 z a^{-11} +2 a^{-2} +5 a^{-4} - a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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