K13n3237
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Polynomial invariants
| Jones polynomial | Data:K13n3237/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-12 t^2+42 t-61+42 t^{-1} -12 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3237/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 a^8+5 z^2 a^6+3 a^6-4 z^4 a^4-3 z^2 a^4+z^6 a^2-a^2-2 z^4+1+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+7 a^4 z^{10}+5 a^2 z^{10}+2 a^7 z^9+7 a^5 z^9+14 a^3 z^9+9 a z^9+a^8 z^8+4 a^6 z^8-3 a^4 z^8+2 a^2 z^8+8 z^8+a^7 z^7-9 a^5 z^7-31 a^3 z^7-17 a z^7+4 z^7 a^{-1} +2 a^8 z^6-8 a^6 z^6-11 a^4 z^6-19 a^2 z^6+z^6 a^{-2} -17 z^6+3 a^9 z^5+a^5 z^5+23 a^3 z^5+11 a z^5-8 z^5 a^{-1} -5 a^8 z^4+5 a^6 z^4+12 a^4 z^4+15 a^2 z^4-2 z^4 a^{-2} +11 z^4-7 a^9 z^3-6 a^7 z^3+3 a^5 z^3-10 a^3 z^3-8 a z^3+4 z^3 a^{-1} +3 a^8 z^2+2 a^6 z^2-3 a^4 z^2-7 a^2 z^2+z^2 a^{-2} -4 z^2+4 a^9 z+4 a^7 z+a^5 z+3 a^3 z+2 a z-2 a^8-3 a^6+a^2+1 }[/math] |
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