K13n3983
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Polynomial invariants
| Jones polynomial | Data:K13n3983/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+27 t^2-52 t+65-52 t^{-1} +27 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3983/Conway Polynomial |
| Determinant | 241 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+3 a^2 z^6-2 z^6-a^4 z^4+2 a^2 z^4+z^4 a^{-2} -3 z^4+a^4 z^2-3 a^2 z^2+2 z^2+a^4-3 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 6 a^3 z^{11}+6 a z^{11}+15 a^4 z^{10}+29 a^2 z^{10}+14 z^{10}+14 a^5 z^9+13 a^3 z^9+9 a z^9+10 z^9 a^{-1} +6 a^6 z^8-34 a^4 z^8-82 a^2 z^8+2 z^8 a^{-2} -40 z^8+a^7 z^7-36 a^5 z^7-77 a^3 z^7-63 a z^7-23 z^7 a^{-1} -12 a^6 z^6+9 a^4 z^6+68 a^2 z^6+8 z^6 a^{-2} +55 z^6-a^7 z^5+21 a^5 z^5+71 a^3 z^5+80 a z^5+37 z^5 a^{-1} +6 z^5 a^{-3} +4 a^6 z^4+4 a^4 z^4-17 a^2 z^4-7 z^4 a^{-2} +z^4 a^{-4} -25 z^4-2 a^5 z^3-18 a^3 z^3-31 a z^3-19 z^3 a^{-1} -4 z^3 a^{-3} +a^6 z^2-a^4 z^2-4 a^2 z^2-2 z^2-a^5 z-a^3 z+a z+z a^{-1} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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