K13n2389
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Polynomial invariants
| Jones polynomial | Data:K13n2389/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:K13n2389/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-a^4 z^2+3 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} +z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+4 z^{10} a^{-2} +6 z^{10}+a^3 z^9+a z^9+7 z^9 a^{-1} +7 z^9 a^{-3} -8 a^2 z^8-5 z^8 a^{-2} +7 z^8 a^{-4} -20 z^8-2 a^3 z^7-10 a z^7-30 z^7 a^{-1} -18 z^7 a^{-3} +4 z^7 a^{-5} +3 a^4 z^6+22 a^2 z^6-7 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +32 z^6+a^5 z^5+7 a^3 z^5+28 a z^5+44 z^5 a^{-1} +12 z^5 a^{-3} -10 z^5 a^{-5} -7 a^4 z^4-23 a^2 z^4+13 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} -17 z^4-3 a^5 z^3-11 a^3 z^3-22 a z^3-21 z^3 a^{-1} -3 z^3 a^{-3} +4 z^3 a^{-5} +4 a^4 z^2+8 a^2 z^2-5 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2+2 a^5 z+4 a^3 z+4 a z+2 z a^{-1} -a^4-a^2+ a^{-2} +2 }[/math] |
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