K13n1632
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Polynomial invariants
| Jones polynomial | Data:K13n1632/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-28 t+37-28 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1632/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-z^4 a^2+z^2 a^2+a^2-z^6-2 z^4-2 z^2+z^4 a^{-2} +z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+7 a^2 z^{10}+3 z^{10}+5 a^5 z^9+9 a^3 z^9+7 a z^9+3 z^9 a^{-1} +3 a^6 z^8-9 a^4 z^8-19 a^2 z^8+z^8 a^{-2} -6 z^8+a^7 z^7-18 a^5 z^7-45 a^3 z^7-34 a z^7-8 z^7 a^{-1} -11 a^6 z^6-4 a^4 z^6+11 a^2 z^6+2 z^6 a^{-2} +6 z^6-4 a^7 z^5+19 a^5 z^5+64 a^3 z^5+56 a z^5+19 z^5 a^{-1} +4 z^5 a^{-3} +11 a^6 z^4+13 a^4 z^4+5 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} +z^4+4 a^7 z^3-11 a^5 z^3-41 a^3 z^3-38 a z^3-17 z^3 a^{-1} -5 z^3 a^{-3} -5 a^6 z^2-8 a^4 z^2-3 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -a^7 z+3 a^5 z+10 a^3 z+10 a z+5 z a^{-1} +z a^{-3} +a^6+a^4-a^2 }[/math] |
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