K13n3869
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Polynomial invariants
| Jones polynomial | Data:K13n3869/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+20 t^2-26 t+27-26 t^{-1} +20 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3869/Conway Polynomial |
| Determinant | 141 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^6 a^8-5 z^4 a^8-7 z^2 a^8-4 a^8+z^8 a^6+5 z^6 a^6+9 z^4 a^6+8 z^2 a^6+2 a^6+z^8 a^4+4 z^6 a^4+5 z^4 a^4+5 z^2 a^4+3 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-2 z^2 a^{12}+4 z^5 a^{11}-8 z^3 a^{11}+3 z a^{11}+2 z^8 a^{10}-4 z^6 a^{10}+7 z^4 a^{10}-3 z^2 a^{10}-a^{10}+6 z^9 a^9-26 z^7 a^9+53 z^5 a^9-41 z^3 a^9+14 z a^9+6 z^{10} a^8-22 z^8 a^8+33 z^6 a^8-14 z^4 a^8+7 z^2 a^8-4 a^8+2 z^{11} a^7+6 z^9 a^7-44 z^7 a^7+80 z^5 a^7-55 z^3 a^7+15 z a^7+11 z^{10} a^6-36 z^8 a^6+38 z^6 a^6-15 z^4 a^6+2 z^2 a^6-2 a^6+2 z^{11} a^5+6 z^9 a^5-35 z^7 a^5+39 z^5 a^5-21 z^3 a^5+4 z a^5+5 z^{10} a^4-8 z^8 a^4-12 z^6 a^4+17 z^4 a^4-10 z^2 a^4+3 a^4+6 z^9 a^3-16 z^7 a^3+5 z^5 a^3+4 z^3 a^3-z a^3+4 z^8 a^2-13 z^6 a^2+12 z^4 a^2-4 z^2 a^2+a^2+z^7 a-3 z^5 a+3 z^3 a-z a }[/math] |
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