K13n3188
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Polynomial invariants
| Jones polynomial | Data:K13n3188/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-20 t^2+21 t-17+21 t^{-1} -20 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3188/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-4 z^6 a^{-2} +z^6 a^{-4} -4 z^6+3 a^2 z^4-3 z^4 a^{-2} +4 z^4 a^{-4} -4 z^4+a^2 z^2+2 z^2 a^{-4} -z^2 a^{-6} -3 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+7 z^{10} a^{-2} +13 z^{10}+4 a^3 z^9-4 a z^9-z^9 a^{-1} +7 z^9 a^{-3} +a^4 z^8-27 a^2 z^8-24 z^8 a^{-2} +4 z^8 a^{-4} -56 z^8-18 a^3 z^7-24 a z^7-29 z^7 a^{-1} -22 z^7 a^{-3} +z^7 a^{-5} -4 a^4 z^6+35 a^2 z^6+27 z^6 a^{-2} -7 z^6 a^{-4} +73 z^6+23 a^3 z^5+45 a z^5+44 z^5 a^{-1} +26 z^5 a^{-3} +4 z^5 a^{-5} +4 a^4 z^4-15 a^2 z^4-18 z^4 a^{-2} +6 z^4 a^{-4} +4 z^4 a^{-6} -39 z^4-9 a^3 z^3-22 a z^3-24 z^3 a^{-1} -16 z^3 a^{-3} -4 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2+2 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2 a^{-6} +9 z^2+a^3 z+3 a z+5 z a^{-1} +4 z a^{-3} +z a^{-5} -a^2- a^{-2} -1 }[/math] |
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