K13n4424
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Polynomial invariants
| Jones polynomial | Data:K13n4424/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-18 t+23-18 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4424/Conway Polynomial |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-3 a^4 z^4+8 a^2 z^4-z^4 a^{-2} +2 z^4-3 a^4 z^2+4 a^2 z^2-3 z^2 a^{-2} +4 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+6 a^5 z^9+5 a^3 z^9-a z^9+4 a^6 z^8-7 a^4 z^8-17 a^2 z^8+z^8 a^{-2} -5 z^8+a^7 z^7-18 a^5 z^7-25 a^3 z^7-10 a z^7-3 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-11 a^4 z^6+16 a^2 z^6-9 z^6 a^{-2} +5 z^6-3 a^7 z^5+8 a^5 z^5+22 a^3 z^5+26 a z^5+9 z^5 a^{-1} -6 z^5 a^{-3} +11 a^6 z^4+11 a^4 z^4-6 a^2 z^4+17 z^4 a^{-2} +11 z^4+3 a^7 z^3+2 a^5 z^3-9 a^3 z^3-18 a z^3-3 z^3 a^{-1} +7 z^3 a^{-3} -3 a^6 z^2+a^4 z^2+2 a^2 z^2-8 z^2 a^{-2} -10 z^2-a^7 z+3 a^3 z+3 a z-z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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