K13n3198
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Polynomial invariants
| Jones polynomial | Data:K13n3198/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+40 t-51+40 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3198/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-3 z^2 a^6-2 a^6+z^6 a^4-z^2 a^4+a^4+2 z^6 a^2+5 z^4 a^2+4 z^2 a^2-2 z^4-2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+10 a^4 z^{10}+5 a^2 z^{10}+6 a^7 z^9+6 a^5 z^9+4 a^3 z^9+4 a z^9+5 a^8 z^8-6 a^6 z^8-22 a^4 z^8-10 a^2 z^8+z^8+3 a^9 z^7-11 a^7 z^7-18 a^5 z^7-5 a^3 z^7-a z^7+a^{10} z^6-11 a^8 z^6-a^6 z^6+28 a^4 z^6+25 a^2 z^6+8 z^6-8 a^9 z^5+5 a^7 z^5+17 a^5 z^5-5 a^3 z^5-6 a z^5+3 z^5 a^{-1} -3 a^{10} z^4+7 a^8 z^4+10 a^6 z^4-19 a^4 z^4-36 a^2 z^4-17 z^4+6 a^9 z^3+3 a^7 z^3-a^5 z^3+7 a^3 z^3+2 a z^3-3 z^3 a^{-1} +2 a^{10} z^2-3 a^8 z^2-8 a^6 z^2+4 a^4 z^2+13 a^2 z^2+6 z^2-2 a^9 z-3 a^7 z-2 a^5 z-2 a^3 z-a z+a^8+2 a^6+a^4+1 }[/math] |
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