K13n4158
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Polynomial invariants
| Jones polynomial | Data:K13n4158/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-25 t+29-25 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4158/Conway Polynomial |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-2 a^4 z^6+5 a^2 z^6-z^6+a^6 z^4-7 a^4 z^4+9 a^2 z^4-3 z^4+2 a^6 z^2-6 a^4 z^2+7 a^2 z^2-2 z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+10 a^4 z^{10}+5 a^2 z^{10}+4 a^7 z^9+3 a^5 z^9+4 a^3 z^9+5 a z^9+a^8 z^8-19 a^6 z^8-34 a^4 z^8-11 a^2 z^8+3 z^8-18 a^7 z^7-37 a^5 z^7-29 a^3 z^7-9 a z^7+z^7 a^{-1} -4 a^8 z^6+16 a^6 z^6+26 a^4 z^6+5 a^2 z^6-z^6+25 a^7 z^5+51 a^5 z^5+26 a^3 z^5+4 a z^5+4 z^5 a^{-1} +5 a^8 z^4+3 a^6 z^4-4 a^4 z^4-7 a^2 z^4+4 z^4 a^{-2} -z^4-11 a^7 z^3-18 a^5 z^3-7 a^3 z^3-3 a z^3-2 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2-3 a^6 z^2+3 a^4 z^2+5 a^2 z^2-z^2 a^{-2} +a^5 z+a^3 z-a^4-2 a^2 }[/math] |
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