K13n1582
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Polynomial invariants
| Jones polynomial | Data:K13n1582/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+21 t-29+21 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1582/Conway Polynomial |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -3 z^4 a^{-2} -2 z^4 a^{-4} -z^4+a^2 z^2-5 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} +a^2-2 a^{-2} - a^{-4} +3 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +3 z^9 a^{-1} -z^9 a^{-3} -3 z^9 a^{-5} +z^9 a^{-7} -4 z^8 a^{-2} -18 z^8 a^{-4} -11 z^8 a^{-6} +3 z^8+2 a z^7-9 z^7 a^{-1} -4 z^7 a^{-3} +4 z^7 a^{-5} -3 z^7 a^{-7} +a^2 z^6-2 z^6 a^{-2} +35 z^6 a^{-4} +30 z^6 a^{-6} +3 z^6 a^{-8} -9 z^6-6 a z^5+10 z^5 a^{-1} +12 z^5 a^{-3} +z^5 a^{-5} +6 z^5 a^{-7} +z^5 a^{-9} -4 a^2 z^4+14 z^4 a^{-2} -25 z^4 a^{-4} -37 z^4 a^{-6} -9 z^4 a^{-8} +7 z^4+3 a z^3-8 z^3 a^{-1} -5 z^3 a^{-3} +2 z^3 a^{-5} -7 z^3 a^{-7} -3 z^3 a^{-9} +4 a^2 z^2-13 z^2 a^{-2} +9 z^2 a^{-4} +20 z^2 a^{-6} +6 z^2 a^{-8} -4 z^2+2 z a^{-1} -2 z a^{-5} +z a^{-7} +z a^{-9} -a^2+2 a^{-2} - a^{-4} -3 a^{-6} - a^{-8} +1 }[/math] |
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