K13n3692
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Polynomial invariants
| Jones polynomial | Data:K13n3692/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+19 t^2-23 t+23-23 t^{-1} +19 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3692/Conway Polynomial |
| Determinant | 129 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +4 z^4 a^{-4} +9 z^4 a^{-6} -5 z^4 a^{-8} -z^2 a^{-2} +z^2 a^{-4} +9 z^2 a^{-6} -6 z^2 a^{-8} +z^2 a^{-10} + a^{-2} - a^{-4} +3 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +9 z^{10} a^{-6} +4 z^{10} a^{-8} +6 z^9 a^{-3} +2 z^9 a^{-5} -2 z^9 a^{-7} +2 z^9 a^{-9} +4 z^8 a^{-2} -12 z^8 a^{-4} -32 z^8 a^{-6} -16 z^8 a^{-8} +z^7 a^{-1} -19 z^7 a^{-3} -18 z^7 a^{-5} -2 z^7 a^{-7} -4 z^7 a^{-9} -14 z^6 a^{-2} +3 z^6 a^{-4} +52 z^6 a^{-6} +38 z^6 a^{-8} +3 z^6 a^{-10} -3 z^5 a^{-1} +14 z^5 a^{-3} +17 z^5 a^{-5} +11 z^5 a^{-7} +11 z^5 a^{-9} +13 z^4 a^{-2} -z^4 a^{-4} -51 z^4 a^{-6} -35 z^4 a^{-8} +2 z^4 a^{-10} +2 z^3 a^{-1} -2 z^3 a^{-3} -10 z^3 a^{-5} -15 z^3 a^{-7} -5 z^3 a^{-9} +4 z^3 a^{-11} -2 z^2 a^{-2} +4 z^2 a^{-4} +21 z^2 a^{-6} +13 z^2 a^{-8} -2 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +5 z a^{-7} +z a^{-9} -2 z a^{-11} - a^{-2} - a^{-4} -3 a^{-6} -2 a^{-8} }[/math] |
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