K13a1096
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Polynomial invariants
| Jones polynomial | Data:K13a1096/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+22 t^2-52 t+69-52 t^{-1} +22 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1096/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4-z^4 a^4+a^4-2 z^6 a^2-4 z^4 a^2-4 z^2 a^2-2 a^2-z^6+z^2+1+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} -z^2 a^{-4} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{12}+a^2 z^{12}+4 a^5 z^{11}+8 a^3 z^{11}+4 a z^{11}+6 a^6 z^{10}+13 a^4 z^{10}+14 a^2 z^{10}+7 z^{10}+4 a^7 z^9-3 a^5 z^9-9 a^3 z^9+6 a z^9+8 z^9 a^{-1} +a^8 z^8-22 a^6 z^8-53 a^4 z^8-42 a^2 z^8+7 z^8 a^{-2} -5 z^8-17 a^7 z^7-30 a^5 z^7-32 a^3 z^7-33 a z^7-9 z^7 a^{-1} +5 z^7 a^{-3} -4 a^8 z^6+22 a^6 z^6+53 a^4 z^6+27 a^2 z^6-7 z^6 a^{-2} +3 z^6 a^{-4} -10 z^6+23 a^7 z^5+48 a^5 z^5+48 a^3 z^5+32 a z^5+3 z^5 a^{-1} -5 z^5 a^{-3} +z^5 a^{-5} +5 a^8 z^4-5 a^6 z^4-15 a^4 z^4+5 a^2 z^4+z^4 a^{-2} -5 z^4 a^{-4} +16 z^4-11 a^7 z^3-21 a^5 z^3-19 a^3 z^3-10 a z^3+z^3 a^{-1} -2 z^3 a^{-5} -2 a^8 z^2-a^6 z^2-2 a^4 z^2-10 a^2 z^2+3 z^2 a^{-2} +3 z^2 a^{-4} -7 z^2+a^7 z+2 a^5 z+2 a^3 z+a z+z a^{-3} +z a^{-5} +a^4+2 a^2-2 a^{-2} - a^{-4} +1 }[/math] |
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