K13n1156
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Polynomial invariants
| Jones polynomial | Data:K13n1156/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1156/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +2 z^4 a^{-4} -4 z^4+3 a^2 z^2+z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} -7 z^2+2 a^2+3 a^{-2} + a^{-4} - a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a z^9-z^9 a^{-1} +2 z^9 a^{-3} +4 z^9 a^{-5} -22 z^8 a^{-2} -9 z^8 a^{-4} +3 z^8 a^{-6} -10 z^8-3 a z^7-8 z^7 a^{-1} -21 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6+35 z^6 a^{-2} +2 z^6 a^{-4} -12 z^6 a^{-6} +24 z^6+2 a^3 z^5+7 a z^5+22 z^5 a^{-1} +34 z^5 a^{-3} +13 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-6 a^2 z^4-26 z^4 a^{-2} +5 z^4 a^{-4} +12 z^4 a^{-6} -26 z^4-4 a^3 z^3-6 a z^3-17 z^3 a^{-1} -23 z^3 a^{-3} -4 z^3 a^{-5} +4 z^3 a^{-7} -2 a^4 z^2+5 a^2 z^2+10 z^2 a^{-2} -4 z^2 a^{-4} -4 z^2 a^{-6} +17 z^2+2 a^3 z+4 a z+5 z a^{-1} +5 z a^{-3} +z a^{-5} -z a^{-7} -2 a^2-3 a^{-2} + a^{-4} + a^{-6} -4 }[/math] |
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