K13n3013
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Polynomial invariants
| Jones polynomial | Data:K13n3013/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-10 t^2+19 t-23+19 t^{-1} -10 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3013/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +3 z^4 a^{-2} -13 z^4 a^{-4} +4 z^4 a^{-6} +3 z^2 a^{-2} -10 z^2 a^{-4} +5 z^2 a^{-6} +z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -4 z^9 a^{-3} +4 z^9 a^{-7} -5 z^8 a^{-2} -18 z^8 a^{-4} -9 z^8 a^{-6} +4 z^8 a^{-8} +z^7 a^{-1} +9 z^7 a^{-3} -5 z^7 a^{-5} -10 z^7 a^{-7} +3 z^7 a^{-9} +16 z^6 a^{-2} +42 z^6 a^{-4} +15 z^6 a^{-6} -10 z^6 a^{-8} +z^6 a^{-10} +2 z^5 a^{-1} +14 z^5 a^{-5} +7 z^5 a^{-7} -9 z^5 a^{-9} -16 z^4 a^{-2} -40 z^4 a^{-4} -15 z^4 a^{-6} +4 z^4 a^{-8} -3 z^4 a^{-10} +2 z^4-5 z^3 a^{-1} -7 z^3 a^{-3} -11 z^3 a^{-5} -3 z^3 a^{-7} +6 z^3 a^{-9} +5 z^2 a^{-2} +17 z^2 a^{-4} +7 z^2 a^{-6} +2 z^2 a^{-10} -3 z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} -z a^{-9} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
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