K13n3885
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Polynomial invariants
| Jones polynomial | Data:K13n3885/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+8 t-9+8 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3885/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -z^6+a^2 z^4-z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} -6 z^4+4 a^2 z^2-z^2 a^{-2} +6 z^2 a^{-4} -2 z^2 a^{-6} -11 z^2+4 a^2+ a^{-2} +3 a^{-4} - a^{-6} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}-8 a z^9-7 z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} -9 a^2 z^8-17 z^8 a^{-2} +3 z^8 a^{-4} +3 z^8 a^{-6} -26 z^8+21 a z^7+10 z^7 a^{-1} -16 z^7 a^{-3} -z^7 a^{-5} +4 z^7 a^{-7} +29 a^2 z^6+42 z^6 a^{-2} -15 z^6 a^{-4} -8 z^6 a^{-6} +3 z^6 a^{-8} +75 z^6-22 a z^5+7 z^5 a^{-1} +39 z^5 a^{-3} -z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} -41 a^2 z^4-35 z^4 a^{-2} +30 z^4 a^{-4} +8 z^4 a^{-6} -7 z^4 a^{-8} -91 z^4+9 a z^3-15 z^3 a^{-1} -29 z^3 a^{-3} +2 z^3 a^{-5} +5 z^3 a^{-7} -2 z^3 a^{-9} +24 a^2 z^2+10 z^2 a^{-2} -18 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +45 z^2-2 a z+3 z a^{-1} +7 z a^{-3} +z a^{-5} -z a^{-7} -4 a^2- a^{-2} +3 a^{-4} + a^{-6} -6 }[/math] |
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