K13n3430
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Polynomial invariants
| Jones polynomial | Data:K13n3430/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-24 t+29-24 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3430/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -3 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} -3 z^2 a^{-2} +11 z^2 a^{-4} -5 z^2 a^{-6} - a^{-2} +6 a^{-4} -5 a^{-6} + 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} +9 z^9 a^{-5} +4 z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-2} -2 z^8 a^{-4} -11 z^8 a^{-6} -5 z^8 a^{-8} +z^7 a^{-1} -16 z^7 a^{-3} -34 z^7 a^{-5} -21 z^7 a^{-7} -4 z^7 a^{-9} -13 z^6 a^{-2} -28 z^6 a^{-4} -11 z^6 a^{-6} +4 z^6 a^{-8} -3 z^5 a^{-1} +4 z^5 a^{-3} +22 z^5 a^{-5} +27 z^5 a^{-7} +12 z^5 a^{-9} +13 z^4 a^{-2} +35 z^4 a^{-4} +27 z^4 a^{-6} +8 z^4 a^{-8} +3 z^4 a^{-10} +3 z^3 a^{-1} +6 z^3 a^{-3} +4 z^3 a^{-5} -4 z^3 a^{-7} -5 z^3 a^{-9} -6 z^2 a^{-2} -18 z^2 a^{-4} -15 z^2 a^{-6} -4 z^2 a^{-8} -z^2 a^{-10} -z a^{-1} -3 z a^{-3} -7 z a^{-5} -6 z a^{-7} -z a^{-9} + a^{-2} +6 a^{-4} +5 a^{-6} + a^{-8} }[/math] |
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