K13n1438
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Polynomial invariants
| Jones polynomial | Data:K13n1438/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-25 t+33-25 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1438/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -z^4-a^4 z^2+3 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2-a^4+a^2-3 a^{-2} + a^{-4} +3 }[/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+6 z^9 a^{-1} +6 z^9 a^{-3} -8 a^2 z^8-10 z^8 a^{-2} +5 z^8 a^{-4} -23 z^8-2 a^3 z^7-13 a z^7-34 z^7 a^{-1} -20 z^7 a^{-3} +3 z^7 a^{-5} +3 a^4 z^6+21 a^2 z^6+4 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} +38 z^6+a^5 z^5+7 a^3 z^5+36 a z^5+61 z^5 a^{-1} +22 z^5 a^{-3} -9 z^5 a^{-5} -7 a^4 z^4-22 a^2 z^4+11 z^4 a^{-2} +11 z^4 a^{-4} -3 z^4 a^{-6} -18 z^4-3 a^5 z^3-12 a^3 z^3-31 a z^3-36 z^3 a^{-1} -9 z^3 a^{-3} +5 z^3 a^{-5} +4 a^4 z^2+7 a^2 z^2-10 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -2 z^2+2 a^5 z+5 a^3 z+7 a z+5 z a^{-1} -z a^{-5} -a^4-a^2+3 a^{-2} + a^{-4} +3 }[/math] |
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