K13n3161
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Polynomial invariants
| Jones polynomial | Data:K13n3161/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-29 t+37-29 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3161/Conway Polynomial |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^6-3 a^6+3 z^4 a^4+7 z^2 a^4+4 a^4-z^6 a^2-z^4 a^2+z^2 a^2+a^2-z^6-2 z^4-2 z^2-1+z^4 a^{-2} +z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+5 a^4 z^{10}+4 a^2 z^{10}-2 a^5 z^9+6 a^3 z^9+8 a z^9-2 a^6 z^8-14 a^4 z^8-a^2 z^8+11 z^8+3 a^7 z^7+5 a^5 z^7-20 a^3 z^7-11 a z^7+11 z^7 a^{-1} -3 a^6 z^6+8 a^4 z^6-14 a^2 z^6+8 z^6 a^{-2} -17 z^6-14 a^7 z^5-25 a^5 z^5+6 a^3 z^5-a z^5-14 z^5 a^{-1} +4 z^5 a^{-3} +7 a^6 z^4+a^4 z^4+9 a^2 z^4-7 z^4 a^{-2} +z^4 a^{-4} +7 z^4+20 a^7 z^3+36 a^5 z^3+12 a^3 z^3+2 a z^3+4 z^3 a^{-1} -2 z^3 a^{-3} -5 a^6 z^2-4 a^4 z^2+z^2 a^{-2} -9 a^7 z-15 a^5 z-7 a^3 z+z a^{-1} +3 a^6+4 a^4-a^2-1 }[/math] |
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