K13n4181
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Polynomial invariants
| Jones polynomial | Data:K13n4181/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+16 t^2-30 t+37-30 t^{-1} +16 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4181/Conway Polynomial |
| Determinant | 141 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+16 z^4 a^{-2} -4 z^4 a^{-4} -7 z^4+a^2 z^2+20 z^2 a^{-2} -7 z^2 a^{-4} -9 z^2+10 a^{-2} -5 a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+2 a z^9+5 z^9 a^{-1} +8 z^9 a^{-3} +5 z^9 a^{-5} +a^2 z^8-8 z^8 a^{-2} -8 z^8 a^{-4} +3 z^8 a^{-6} +4 z^8+5 a z^7-5 z^7 a^{-1} -27 z^7 a^{-3} -16 z^7 a^{-5} +z^7 a^{-7} +6 a^2 z^6+4 z^6 a^{-2} +3 z^6 a^{-4} -10 z^6 a^{-6} -3 z^6+5 a^3 z^5-5 a z^5-z^5 a^{-1} +29 z^5 a^{-3} +16 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-4 a^2 z^4-19 z^4 a^{-2} -7 z^4 a^{-4} +9 z^4 a^{-6} -8 z^4-2 a^3 z^3-12 z^3 a^{-1} -27 z^3 a^{-3} -8 z^3 a^{-5} +5 z^3 a^{-7} +a^2 z^2+21 z^2 a^{-2} +11 z^2 a^{-4} -z^2 a^{-6} +10 z^2-a^3 z+2 a z+10 z a^{-1} +13 z a^{-3} +4 z a^{-5} -2 z a^{-7} -10 a^{-2} -5 a^{-4} -4 }[/math] |
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