K13n1843
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Polynomial invariants
| Jones polynomial | Data:K13n1843/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-29 t+39-29 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1843/Conway Polynomial |
| Determinant | 125 |
| 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+2 a^2-z^6-2 z^4-3 z^2-2+z^4 a^{-2} +z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+10 a^2 z^{10}+5 z^{10}+5 a^5 z^9+3 a^3 z^9+2 a z^9+4 z^9 a^{-1} +3 a^6 z^8-16 a^4 z^8-38 a^2 z^8+z^8 a^{-2} -18 z^8+a^7 z^7-18 a^5 z^7-34 a^3 z^7-27 a z^7-12 z^7 a^{-1} -11 a^6 z^6+12 a^4 z^6+50 a^2 z^6+3 z^6 a^{-2} +30 z^6-4 a^7 z^5+18 a^5 z^5+55 a^3 z^5+51 a z^5+22 z^5 a^{-1} +4 z^5 a^{-3} +10 a^6 z^4-3 a^4 z^4-27 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} -19 z^4+4 a^7 z^3-10 a^5 z^3-35 a^3 z^3-31 a z^3-15 z^3 a^{-1} -5 z^3 a^{-3} -4 a^6 z^2-2 a^4 z^2+8 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +8 z^2-a^7 z+2 a^5 z+7 a^3 z+6 a z+3 z a^{-1} +z a^{-3} +a^6+a^4-2 a^2- a^{-2} -2 }[/math] |
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