K13n3963
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Polynomial invariants
| Jones polynomial | Data:K13n3963/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+7 t^2-8 t+9-8 t^{-1} +7 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3963/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -a^2 z^4+6 z^4 a^{-2} -3 z^4 a^{-4} +z^4-2 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +4 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}+a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +6 z^9 a^{-5} +2 a^2 z^8-27 z^8 a^{-2} -15 z^8 a^{-4} +4 z^8 a^{-6} -6 z^8+a^3 z^7-7 a z^7-10 z^7 a^{-1} -28 z^7 a^{-3} -25 z^7 a^{-5} +z^7 a^{-7} -12 a^2 z^6+37 z^6 a^{-2} +8 z^6 a^{-4} -15 z^6 a^{-6} +2 z^6-5 a^3 z^5+7 a z^5+28 z^5 a^{-1} +43 z^5 a^{-3} +24 z^5 a^{-5} -3 z^5 a^{-7} +16 a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +11 z^4 a^{-6} +14 z^4+5 a^3 z^3+a z^3-15 z^3 a^{-1} -19 z^3 a^{-3} -7 z^3 a^{-5} +z^3 a^{-7} -7 a^2 z^2-7 z^2 a^{-2} -2 z^2 a^{-4} -z^2 a^{-6} -13 z^2-a^3 z-a z+z a^{-1} +z a^{-3} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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