K13n4089
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Polynomial invariants
| Jones polynomial | Data:K13n4089/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+41 t-55+41 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4089/Conway Polynomial |
| Determinant | 171 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} -3 z^4 a^{-6} -z^4+z^2 a^{-2} -4 z^2 a^{-6} +2 z^2 a^{-8} + a^{-4} -2 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +10 z^{10} a^{-6} +3 z^{10} a^{-8} +11 z^9 a^{-3} +10 z^9 a^{-5} +z^9 a^{-9} +12 z^8 a^{-2} -6 z^8 a^{-4} -25 z^8 a^{-6} -7 z^8 a^{-8} +10 z^7 a^{-1} -14 z^7 a^{-3} -33 z^7 a^{-5} -6 z^7 a^{-7} +3 z^7 a^{-9} -14 z^6 a^{-2} -4 z^6 a^{-4} +19 z^6 a^{-6} +7 z^6 a^{-8} +3 z^6 a^{-10} +5 z^6+a z^5-13 z^5 a^{-1} +2 z^5 a^{-3} +31 z^5 a^{-5} -z^5 a^{-7} -16 z^5 a^{-9} -2 z^4 a^{-2} +6 z^4 a^{-4} +4 z^4 a^{-6} -8 z^4 a^{-8} -9 z^4 a^{-10} -5 z^4+2 z^3 a^{-1} +z^3 a^{-3} -4 z^3 a^{-5} +10 z^3 a^{-7} +13 z^3 a^{-9} +2 z^2 a^{-2} -2 z^2 a^{-4} -8 z^2 a^{-6} +z^2 a^{-8} +5 z^2 a^{-10} -2 z a^{-5} -5 z a^{-7} -3 z a^{-9} + a^{-4} +2 a^{-6} + a^{-8} +1 }[/math] |
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