K13n1257
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Polynomial invariants
| Jones polynomial | Data:K13n1257/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+17 t^2-24 t+27-24 t^{-1} +17 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1257/Conway Polynomial |
| Determinant | 125 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -7 z^4 a^{-2} +4 z^4 a^{-4} -3 z^4 a^{-6} +z^4-6 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +3 z^2- a^{-2} - a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +11 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +9 z^9 a^{-5} +9 z^9 a^{-7} -13 z^8 a^{-2} -38 z^8 a^{-4} -20 z^8 a^{-6} +4 z^8 a^{-8} +z^8-13 z^7 a^{-1} -36 z^7 a^{-3} -59 z^7 a^{-5} -36 z^7 a^{-7} +5 z^6 a^{-2} +29 z^6 a^{-4} +7 z^6 a^{-6} -12 z^6 a^{-8} -5 z^6+18 z^5 a^{-1} +50 z^5 a^{-3} +83 z^5 a^{-5} +54 z^5 a^{-7} +3 z^5 a^{-9} +11 z^4 a^{-2} -3 z^4 a^{-4} +13 z^4 a^{-6} +18 z^4 a^{-8} +9 z^4-9 z^3 a^{-1} -25 z^3 a^{-3} -50 z^3 a^{-5} -34 z^3 a^{-7} -8 z^2 a^{-2} -z^2 a^{-4} -10 z^2 a^{-6} -8 z^2 a^{-8} +2 z^2 a^{-10} -7 z^2+z a^{-1} +6 z a^{-3} +12 z a^{-5} +7 z a^{-7} + a^{-2} + a^{-6} + a^{-8} +2 }[/math] |
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