K13n1477
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Polynomial invariants
| Jones polynomial | Data:K13n1477/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+12 t^2-8 t+3-8 t^{-1} +12 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1477/Conway Polynomial |
| Determinant | 57 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +7 z^4 a^{-4} -4 z^4 a^{-6} +z^4-6 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +3 z^2- a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +3 z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-7} -12 z^8 a^{-2} -22 z^8 a^{-4} -9 z^8 a^{-6} +z^8-15 z^7 a^{-1} -28 z^7 a^{-3} -18 z^7 a^{-5} -5 z^7 a^{-7} +6 z^6 a^{-2} +20 z^6 a^{-4} +9 z^6 a^{-6} -5 z^6+22 z^5 a^{-1} +45 z^5 a^{-3} +30 z^5 a^{-5} +7 z^5 a^{-7} +11 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +8 z^4-12 z^3 a^{-1} -22 z^3 a^{-3} -15 z^3 a^{-5} -6 z^3 a^{-7} -z^3 a^{-9} -8 z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} -5 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +2 z a^{-7} +2 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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