K13n1163
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Polynomial invariants
| Jones polynomial | Data:K13n1163/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+20 t-25+20 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1163/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6+a^6-2 z^4 a^4-5 z^2 a^4-4 a^4+z^6 a^2+3 z^4 a^2+5 z^2 a^2+4 a^2+z^6+3 z^4+3 z^2+1-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+2 a^5 z^9+2 a z^9+4 z^9 a^{-1} +a^6 z^8-7 a^4 z^8-20 a^2 z^8+3 z^8 a^{-2} -9 z^8-8 a^5 z^7-11 a^3 z^7-19 a z^7-15 z^7 a^{-1} +z^7 a^{-3} -2 a^6 z^6+11 a^4 z^6+28 a^2 z^6-12 z^6 a^{-2} +3 z^6+3 a^7 z^5+18 a^5 z^5+26 a^3 z^5+28 a z^5+13 z^5 a^{-1} -4 z^5 a^{-3} +a^8 z^4+4 a^6 z^4-6 a^4 z^4-18 a^2 z^4+12 z^4 a^{-2} +3 z^4-6 a^7 z^3-16 a^5 z^3-21 a^3 z^3-18 a z^3-3 z^3 a^{-1} +4 z^3 a^{-3} -2 a^8 z^2-2 a^6 z^2+7 a^4 z^2+8 a^2 z^2-4 z^2 a^{-2} -3 z^2+2 a^7 z+7 a^5 z+8 a^3 z+4 a z-z a^{-3} -a^6-4 a^4-4 a^2+ a^{-2} +1 }[/math] |
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