K13n1583
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Polynomial invariants
| Jones polynomial | Data:K13n1583/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+25 t-37+25 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1583/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} +z^2 a^{-2} -4 z^2 a^{-4} +3 z^2 a^{-8} +z^2+ a^{-2} -3 a^{-4} +2 a^{-6} + a^{-8} - a^{-10} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-3} +3 z^9 a^{-7} +4 z^9 a^{-9} -8 z^8 a^{-4} -17 z^8 a^{-6} -6 z^8 a^{-8} +3 z^8 a^{-10} -z^7 a^{-3} -5 z^7 a^{-5} -17 z^7 a^{-7} -12 z^7 a^{-9} +z^7 a^{-11} +4 z^6 a^{-2} +23 z^6 a^{-4} +26 z^6 a^{-6} -4 z^6 a^{-8} -11 z^6 a^{-10} +2 z^5 a^{-1} +4 z^5 a^{-3} +11 z^5 a^{-5} +18 z^5 a^{-7} +5 z^5 a^{-9} -4 z^5 a^{-11} -6 z^4 a^{-2} -29 z^4 a^{-4} -28 z^4 a^{-6} +5 z^4 a^{-8} +11 z^4 a^{-10} +z^4-2 z^3 a^{-1} -6 z^3 a^{-5} -10 z^3 a^{-7} +3 z^3 a^{-9} +5 z^3 a^{-11} +5 z^2 a^{-2} +19 z^2 a^{-4} +16 z^2 a^{-6} -4 z^2 a^{-10} -2 z^2-2 z a^{-3} -2 z a^{-5} +z a^{-7} -z a^{-9} -2 z a^{-11} - a^{-2} -3 a^{-4} -2 a^{-6} + a^{-8} + a^{-10} +1 }[/math] |
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