K13n3882
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Polynomial invariants
| Jones polynomial | Data:K13n3882/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+18 t^2-26 t+31-26 t^{-1} +18 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3882/Conway Polynomial |
| Determinant | 141 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+5 a^2 z^6-z^6 a^{-2} +4 z^6-4 a^4 z^4+9 a^2 z^4-4 z^4 a^{-2} +3 z^4-4 a^4 z^2+7 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} -3 z^2+2 a^2+ a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+9 a^2 z^{10}+5 z^{10}+4 a^5 z^9-a^3 z^9+a z^9+6 z^9 a^{-1} +3 a^6 z^8-12 a^4 z^8-31 a^2 z^8+4 z^8 a^{-2} -12 z^8+a^7 z^7-13 a^5 z^7-6 a^3 z^7-6 a z^7-13 z^7 a^{-1} +z^7 a^{-3} -12 a^6 z^6+14 a^4 z^6+53 a^2 z^6-4 z^6 a^{-2} +23 z^6-4 a^7 z^5+12 a^5 z^5+9 a^3 z^5+6 a z^5+18 z^5 a^{-1} +5 z^5 a^{-3} +14 a^6 z^4-11 a^4 z^4-51 a^2 z^4+5 z^4 a^{-2} +3 z^4 a^{-4} -24 z^4+4 a^7 z^3-5 a^5 z^3-13 a^3 z^3-4 a z^3-7 z^3 a^{-1} -7 z^3 a^{-3} -4 a^6 z^2+a^4 z^2+18 a^2 z^2-3 z^2 a^{-2} -4 z^2 a^{-4} +14 z^2+2 a^5 z+5 a^3 z+2 a z+z a^{-3} -2 a^2+ a^{-4} -2 }[/math] |
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