K13n3932
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Polynomial invariants
| Jones polynomial | Data:K13n3932/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:K13n3932/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+6 a^2 z^6+z^6 a^{-2} -7 z^6-3 a^4 z^4+13 a^2 z^4+4 z^4 a^{-2} -15 z^4-3 a^4 z^2+11 a^2 z^2+4 z^2 a^{-2} -12 z^2-a^4+3 a^2+ a^{-2} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+2 a z^{11}+z^{11} a^{-1} +4 a^4 z^{10}+6 a^2 z^{10}+3 z^{10} a^{-2} +5 z^{10}+6 a^5 z^9+3 a^3 z^9-9 a z^9-3 z^9 a^{-1} +3 z^9 a^{-3} +4 a^6 z^8-12 a^4 z^8-35 a^2 z^8-18 z^8 a^{-2} +z^8 a^{-4} -38 z^8+a^7 z^7-22 a^5 z^7-30 a^3 z^7-7 a z^7-17 z^7 a^{-1} -17 z^7 a^{-3} -14 a^6 z^6+a^4 z^6+60 a^2 z^6+26 z^6 a^{-2} -5 z^6 a^{-4} +76 z^6-3 a^7 z^5+18 a^5 z^5+44 a^3 z^5+45 a z^5+47 z^5 a^{-1} +25 z^5 a^{-3} +11 a^6 z^4+2 a^4 z^4-45 a^2 z^4-13 z^4 a^{-2} +6 z^4 a^{-4} -55 z^4+2 a^7 z^3-7 a^5 z^3-27 a^3 z^3-36 a z^3-31 z^3 a^{-1} -13 z^3 a^{-3} -2 a^6 z^2+2 a^4 z^2+17 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +19 z^2+2 a^5 z+6 a^3 z+8 a z+6 z a^{-1} +2 z a^{-3} -a^4-3 a^2- a^{-2} -2 }[/math] |
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