K13n3999
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Polynomial invariants
| Jones polynomial | Data:K13n3999/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-31 t+37-31 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3999/Conway Polynomial |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -2 z^6 a^{-4} -z^6+10 z^4 a^{-2} -6 z^4 a^{-4} +z^4 a^{-6} -3 z^4+9 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -3 z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-3} +4 z^{11} a^{-5} +10 z^{10} a^{-2} +18 z^{10} a^{-4} +8 z^{10} a^{-6} +9 z^9 a^{-1} +z^9 a^{-3} -3 z^9 a^{-5} +5 z^9 a^{-7} -36 z^8 a^{-2} -74 z^8 a^{-4} -33 z^8 a^{-6} +z^8 a^{-8} +4 z^8+a z^7-28 z^7 a^{-1} -47 z^7 a^{-3} -38 z^7 a^{-5} -20 z^7 a^{-7} +48 z^6 a^{-2} +92 z^6 a^{-4} +38 z^6 a^{-6} -3 z^6 a^{-8} -3 z^6+5 a z^5+35 z^5 a^{-1} +70 z^5 a^{-3} +62 z^5 a^{-5} +22 z^5 a^{-7} +4 a^2 z^4-40 z^4 a^{-2} -48 z^4 a^{-4} -13 z^4 a^{-6} +2 z^4 a^{-8} -3 z^4+a^3 z^3-5 a z^3-25 z^3 a^{-1} -38 z^3 a^{-3} -24 z^3 a^{-5} -5 z^3 a^{-7} -a^2 z^2+16 z^2 a^{-2} +12 z^2 a^{-4} +z^2 a^{-6} +4 z^2+2 a z+6 z a^{-1} +7 z a^{-3} +z a^{-5} -2 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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