K13n877
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Polynomial invariants
| Jones polynomial | Data:K13n877/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-25 t+29-25 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n877/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -3 z^4 a^{-2} +10 z^4 a^{-4} -8 z^4 a^{-6} +z^4 a^{-8} -2 z^2 a^{-2} +11 z^2 a^{-4} -11 z^2 a^{-6} +3 z^2 a^{-8} +5 a^{-4} -6 a^{-6} +2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +6 z^{10} a^{-6} +2 z^{10} a^{-8} +6 z^9 a^{-3} +8 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-2} -5 z^8 a^{-4} -12 z^8 a^{-6} -3 z^8 a^{-8} +z^7 a^{-1} -19 z^7 a^{-3} -30 z^7 a^{-5} -7 z^7 a^{-7} +3 z^7 a^{-9} -14 z^6 a^{-2} -16 z^6 a^{-4} +2 z^6 a^{-6} +10 z^6 a^{-8} +6 z^6 a^{-10} -3 z^5 a^{-1} +14 z^5 a^{-3} +24 z^5 a^{-5} +z^5 a^{-7} -3 z^5 a^{-9} +3 z^5 a^{-11} +14 z^4 a^{-2} +25 z^4 a^{-4} +8 z^4 a^{-6} -11 z^4 a^{-8} -7 z^4 a^{-10} +z^4 a^{-12} +2 z^3 a^{-1} -2 z^3 a^{-3} -5 z^3 a^{-5} +6 z^3 a^{-7} +4 z^3 a^{-9} -3 z^3 a^{-11} -4 z^2 a^{-2} -15 z^2 a^{-4} -13 z^2 a^{-6} +3 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +z a^{-3} -2 z a^{-5} -5 z a^{-7} -z a^{-9} +z a^{-11} +5 a^{-4} +6 a^{-6} +2 a^{-8} }[/math] |
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