K13n2895
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Polynomial invariants
| Jones polynomial | Data:K13n2895/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+23 t-27+23 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2895/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| 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} +2 z^4+a^4 z^2-4 a^2 z^2-z^2 a^{-4} +z^2+a^4-a^2- a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+4 a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-11 a^2 z^8-5 z^8 a^{-2} +3 z^8 a^{-4} -20 z^8-15 a^3 z^7-32 a z^7-28 z^7 a^{-1} -10 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+5 a^2 z^6-3 z^6 a^{-2} -5 z^6 a^{-4} +12 z^6+23 a^3 z^5+48 a z^5+35 z^5 a^{-1} +13 z^5 a^{-3} +3 z^5 a^{-5} +8 a^4 z^4+12 a^2 z^4+5 z^4 a^{-2} +8 z^4 a^{-4} +4 z^4 a^{-6} +5 z^4-12 a^3 z^3-24 a z^3-22 z^3 a^{-1} -13 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -5 a^4 z^2-9 a^2 z^2-5 z^2 a^{-2} -6 z^2 a^{-4} -2 z^2 a^{-6} -5 z^2+2 a^3 z+4 a z+6 z a^{-1} +5 z a^{-3} +z a^{-5} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
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