K13n1657
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Polynomial invariants
| Jones polynomial | Data:K13n1657/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+38 t-51+38 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1657/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^2 a^8+a^8-3 z^4 a^6-4 z^2 a^6-2 a^6+z^6 a^4-z^2 a^4+z^6 a^2+2 z^4 a^2+4 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+6 a^6 z^{10}+4 a^4 z^{10}+a^9 z^9+4 a^7 z^9+10 a^5 z^9+7 a^3 z^9-a^8 z^8-4 a^6 z^8+5 a^4 z^8+8 a^2 z^8+3 a^9 z^7-4 a^7 z^7-15 a^5 z^7-a^3 z^7+7 a z^7+3 a^{10} z^6-2 a^8 z^6-10 a^6 z^6-14 a^4 z^6-5 a^2 z^6+4 z^6-15 a^9 z^5-18 a^7 z^5-7 a^5 z^5-14 a^3 z^5-9 a z^5+z^5 a^{-1} -8 a^{10} z^4-4 a^8 z^4+9 a^6 z^4+3 a^4 z^4-8 a^2 z^4-6 z^4+15 a^9 z^3+24 a^7 z^3+18 a^5 z^3+14 a^3 z^3+4 a z^3-z^3 a^{-1} +5 a^{10} z^2+2 a^8 z^2-6 a^6 z^2+3 a^4 z^2+9 a^2 z^2+3 z^2-4 a^9 z-9 a^7 z-7 a^5 z-3 a^3 z-a z+a^8+2 a^6-2 a^2 }[/math] |
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