K13n4164
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Polynomial invariants
| Jones polynomial | Data:K13n4164/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-20 t^2+43 t-55+43 t^{-1} -20 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4164/Conway Polynomial |
| Determinant | 195 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +z^6-6 z^4 a^{-2} +2 z^4-2 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +9 z^{10} a^{-2} +12 z^{10} a^{-4} +3 z^{10} a^{-6} +15 z^9 a^{-1} +18 z^9 a^{-3} +4 z^9 a^{-5} +z^9 a^{-7} -6 z^8 a^{-2} -23 z^8 a^{-4} -5 z^8 a^{-6} +12 z^8+5 a z^7-32 z^7 a^{-1} -49 z^7 a^{-3} -9 z^7 a^{-5} +3 z^7 a^{-7} +a^2 z^6-17 z^6 a^{-2} +22 z^6 a^{-4} +18 z^6 a^{-6} +4 z^6 a^{-8} -24 z^6-7 a z^5+19 z^5 a^{-1} +39 z^5 a^{-3} +12 z^5 a^{-5} +z^5 a^{-9} -a^2 z^4+13 z^4 a^{-2} -13 z^4 a^{-4} -19 z^4 a^{-6} -6 z^4 a^{-8} +12 z^4+a z^3-7 z^3 a^{-1} -10 z^3 a^{-3} -3 z^3 a^{-5} -3 z^3 a^{-7} -2 z^3 a^{-9} -3 z^2 a^{-2} +6 z^2 a^{-4} +8 z^2 a^{-6} +3 z^2 a^{-8} -4 z^2+z a^{-1} +z a^{-3} -z a^{-5} +z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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