K13n1570
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Polynomial invariants
| Jones polynomial | Data:K13n1570/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-25 t+31-25 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1570/Conway Polynomial |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+9 z^4 a^{-2} -3 z^4 a^{-4} -8 z^4+3 a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} -11 z^2+3 a^2+3 a^{-2} -5 }[/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}+a z^9+3 z^9 a^{-1} +8 z^9 a^{-3} +6 z^9 a^{-5} -13 z^8 a^{-2} -6 z^8 a^{-4} +4 z^8 a^{-6} -3 z^8+4 a z^7-7 z^7 a^{-1} -32 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} +7 a^2 z^6+9 z^6 a^{-2} -12 z^6 a^{-4} -14 z^6 a^{-6} +14 z^6+3 a^3 z^5-5 a z^5+4 z^5 a^{-1} +32 z^5 a^{-3} +17 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-10 a^2 z^4-10 z^4 a^{-2} +18 z^4 a^{-4} +13 z^4 a^{-6} -26 z^4-2 a^3 z^3+5 a z^3-2 z^3 a^{-1} -15 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+9 a^2 z^2+8 z^2 a^{-2} -6 z^2 a^{-4} -3 z^2 a^{-6} +21 z^2-2 a z+3 z a^{-3} +z a^{-5} -3 a^2-3 a^{-2} -5 }[/math] |
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