K13n2982
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Polynomial invariants
| Jones polynomial | Data:K13n2982/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+19 t^2-23 t+23-23 t^{-1} +19 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2982/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +10 z^4 a^{-4} +3 z^4 a^{-6} -4 z^4 a^{-8} -4 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +5 a^{-4} -3 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +9 z^{10} a^{-6} +5 z^{10} a^{-8} +4 z^9 a^{-3} +4 z^9 a^{-9} +3 z^8 a^{-2} -10 z^8 a^{-4} -32 z^8 a^{-6} -18 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -12 z^7 a^{-3} -14 z^7 a^{-5} -10 z^7 a^{-7} -9 z^7 a^{-9} -12 z^6 a^{-2} -z^6 a^{-4} +44 z^6 a^{-6} +39 z^6 a^{-8} +6 z^6 a^{-10} -4 z^5 a^{-1} +5 z^5 a^{-3} +15 z^5 a^{-5} +19 z^5 a^{-7} +18 z^5 a^{-9} +5 z^5 a^{-11} +14 z^4 a^{-2} +15 z^4 a^{-4} -25 z^4 a^{-6} -35 z^4 a^{-8} -8 z^4 a^{-10} +z^4 a^{-12} +4 z^3 a^{-1} +4 z^3 a^{-3} -2 z^3 a^{-5} -12 z^3 a^{-7} -14 z^3 a^{-9} -4 z^3 a^{-11} -7 z^2 a^{-2} -15 z^2 a^{-4} +10 z^2 a^{-8} +2 z^2 a^{-10} -z a^{-1} -2 z a^{-3} -2 z a^{-5} +2 z a^{-7} +3 z a^{-9} + a^{-2} +5 a^{-4} +3 a^{-6} }[/math] |
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