K13n1487
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Polynomial invariants
| Jones polynomial | Data:K13n1487/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-24 t+29-24 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1487/Conway Polynomial |
| Determinant | 121 |
| 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} -10 z^2+2 a^2+2 a^{-2} -3 }[/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} -14 z^8 a^{-2} -6 z^8 a^{-4} +4 z^8 a^{-6} -4 z^8+2 a z^7-11 z^7 a^{-1} -34 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} +6 a^2 z^6+9 z^6 a^{-2} -13 z^6 a^{-4} -14 z^6 a^{-6} +14 z^6+3 a^3 z^5+a z^5+15 z^5 a^{-1} +37 z^5 a^{-3} +17 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-8 a^2 z^4-6 z^4 a^{-2} +19 z^4 a^{-4} +13 z^4 a^{-6} -21 z^4-3 a^3 z^3-3 a z^3-12 z^3 a^{-1} -19 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+6 a^2 z^2+5 z^2 a^{-2} -6 z^2 a^{-4} -3 z^2 a^{-6} +15 z^2+a^3 z+2 a z+4 z a^{-1} +4 z a^{-3} +z a^{-5} -2 a^2-2 a^{-2} -3 }[/math] |
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