K13n2156
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Polynomial invariants
| Jones polynomial | Data:K13n2156/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-4 t^2+2 t+1+2 t^{-1} -4 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2156/Conway Polynomial |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4+5 z^4-3 a^4 z^2+4 a^2 z^2-2 z^2 a^{-2} -z^2 a^{-4} +6 z^2-2 a^4+2 a^2-2 a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+a^5 z^9-3 a^3 z^9-3 a z^9+z^9 a^{-1} -13 a^4 z^8-25 a^2 z^8-12 z^8-7 a^5 z^7-10 a^3 z^7-11 a z^7-7 z^7 a^{-1} +z^7 a^{-3} +27 a^4 z^6+44 a^2 z^6-z^6 a^{-2} +2 z^6 a^{-4} +14 z^6+17 a^5 z^5+38 a^3 z^5+34 a z^5+8 z^5 a^{-1} -4 z^5 a^{-3} +z^5 a^{-5} -22 a^4 z^4-25 a^2 z^4-7 z^4 a^{-4} +4 z^4-17 a^5 z^3-36 a^3 z^3-24 a z^3-z^3 a^{-1} +z^3 a^{-3} -3 z^3 a^{-5} +8 a^4 z^2+5 a^2 z^2-3 z^2 a^{-2} +3 z^2 a^{-4} -9 z^2+6 a^5 z+11 a^3 z+6 a z+z a^{-5} -2 a^4-2 a^2+2 a^{-2} +3 }[/math] |
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