K13n3987
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Polynomial invariants
| Jones polynomial | Data:K13n3987/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-16 t+23-16 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3987/Conway Polynomial |
| Determinant | 69 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-4 z^4 a^4-6 z^2 a^4-2 a^4+2 z^4 a^2+3 z^2 a^2+a^2+z^4+z^2+1-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+7 a^4 z^{10}+3 a^2 z^{10}+3 a^7 z^9-7 a^5 z^9-9 a^3 z^9+a z^9+a^8 z^8-22 a^6 z^8-39 a^4 z^8-16 a^2 z^8-16 a^7 z^7-a^5 z^7+15 a^3 z^7-5 a^8 z^6+37 a^6 z^6+73 a^4 z^6+36 a^2 z^6+5 z^6+24 a^7 z^5+14 a^5 z^5-18 a^3 z^5-4 a z^5+4 z^5 a^{-1} +6 a^8 z^4-25 a^6 z^4-62 a^4 z^4-41 a^2 z^4+3 z^4 a^{-2} -7 z^4-11 a^7 z^3-7 a^5 z^3+11 a^3 z^3+3 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -a^8 z^2+8 a^6 z^2+22 a^4 z^2+16 a^2 z^2-2 z^2 a^{-2} +z^2+a^7 z-2 a^3 z-a z-a^6-2 a^4-a^2+1 }[/math] |
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