K13n3908
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Polynomial invariants
| Jones polynomial | Data:K13n3908/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-18 t^2+24 t-25+24 t^{-1} -18 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3908/Conway Polynomial |
| Determinant | 131 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+z^6 a^6+5 z^4 a^6+6 z^2 a^6+2 a^6-z^8 a^4-5 z^6 a^4-8 z^4 a^4-5 z^2 a^4-a^4-z^8 a^2-4 z^6 a^2-4 z^4 a^2-z^2 a^2+z^6+3 z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+3 a^6 z^{10}+9 a^4 z^{10}+6 a^2 z^{10}+a^7 z^9-5 a^5 z^9+3 a^3 z^9+9 a z^9-15 a^6 z^8-37 a^4 z^8-14 a^2 z^8+8 z^8-2 a^7 z^7+3 a^5 z^7-25 a^3 z^7-26 a z^7+4 z^7 a^{-1} +3 a^8 z^6+40 a^6 z^6+67 a^4 z^6+7 a^2 z^6+z^6 a^{-2} -22 z^6+a^9 z^5+7 a^7 z^5+18 a^5 z^5+44 a^3 z^5+23 a z^5-9 z^5 a^{-1} -8 a^8 z^4-42 a^6 z^4-46 a^4 z^4+5 a^2 z^4-2 z^4 a^{-2} +15 z^4-3 a^9 z^3-11 a^7 z^3-21 a^5 z^3-25 a^3 z^3-10 a z^3+2 z^3 a^{-1} +6 a^8 z^2+16 a^6 z^2+12 a^4 z^2-3 a^2 z^2-5 z^2+2 a^9 z+4 a^7 z+5 a^5 z+5 a^3 z+2 a z-a^8-2 a^6-a^4+1 }[/math] |
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