K13n3921
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Polynomial invariants
| Jones polynomial | Data:K13n3921/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-11 t+15-11 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3921/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+6 z^6 a^{-2} -z^6 a^{-4} -7 z^6+4 a^2 z^4+13 z^4 a^{-2} -3 z^4 a^{-4} -15 z^4+4 a^2 z^2+11 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+2 z^{11} a^{-1} +z^{11} a^{-3} +3 a^2 z^{10}+6 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+3 a^3 z^9-3 a z^9-9 z^9 a^{-1} +3 z^9 a^{-3} +6 z^9 a^{-5} +a^4 z^8-18 a^2 z^8-35 z^8 a^{-2} -12 z^8 a^{-4} +4 z^8 a^{-6} -38 z^8-17 a^3 z^7-17 a z^7-7 z^7 a^{-1} -30 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} -5 a^4 z^6+26 a^2 z^6+60 z^6 a^{-2} +z^6 a^{-4} -14 z^6 a^{-6} +76 z^6+25 a^3 z^5+47 a z^5+45 z^5 a^{-1} +44 z^5 a^{-3} +18 z^5 a^{-5} -3 z^5 a^{-7} +6 a^4 z^4-13 a^2 z^4-45 z^4 a^{-2} +2 z^4 a^{-4} +11 z^4 a^{-6} -55 z^4-13 a^3 z^3-31 a z^3-36 z^3 a^{-1} -27 z^3 a^{-3} -7 z^3 a^{-5} +2 z^3 a^{-7} -2 a^4 z^2+4 a^2 z^2+17 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} +19 z^2+2 a^3 z+6 a z+8 z a^{-1} +6 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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