K13n1188
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Polynomial invariants
| Jones polynomial | Data:K13n1188/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+6 t^3-8 t^2+8 t-7+8 t^{-1} -8 t^{-2} +6 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1188/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-6 z^6 a^{-2} +z^6 a^{-4} -6 z^6+5 a^2 z^4-11 z^4 a^{-2} +6 z^4 a^{-4} -12 z^4+7 a^2 z^2-7 z^2 a^{-2} +10 z^2 a^{-4} -z^2 a^{-6} -11 z^2+3 a^2- a^{-2} +5 a^{-4} -2 a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-3 a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-9 z^8 a^{-2} +2 z^8 a^{-4} -22 z^8-11 a^3 z^7-a z^7+z^7 a^{-1} -8 z^7 a^{-3} +z^7 a^{-5} -6 a^4 z^6+15 a^2 z^6+13 z^6 a^{-2} -10 z^6 a^{-4} +44 z^6+18 a^3 z^5+3 a z^5-3 z^5 a^{-1} +8 z^5 a^{-3} -4 z^5 a^{-5} +11 a^4 z^4-12 a^2 z^4-8 z^4 a^{-2} +20 z^4 a^{-4} +2 z^4 a^{-6} -49 z^4-10 a^3 z^3+6 z^3 a^{-1} +3 z^3 a^{-3} +8 z^3 a^{-5} +z^3 a^{-7} -6 a^4 z^2+9 a^2 z^2-15 z^2 a^{-4} -4 z^2 a^{-6} +26 z^2+2 a^3 z-4 z a^{-1} -4 z a^{-3} -4 z a^{-5} -2 z a^{-7} -3 a^2+ a^{-2} +5 a^{-4} +2 a^{-6} -4 }[/math] |
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