K13n254
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Polynomial invariants
| Jones polynomial | Data:K13n254/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+5 t^3-6 t^2+8 t-9+8 t^{-1} -6 t^{-2} +5 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n254/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +9 z^8 a^{-2} -z^8 a^{-4} -z^8+31 z^6 a^{-2} -8 z^6 a^{-4} -7 z^6+52 z^4 a^{-2} -22 z^4 a^{-4} +z^4 a^{-6} -17 z^4+44 z^2 a^{-2} -24 z^2 a^{-4} +3 z^2 a^{-6} -17 z^2+15 a^{-2} -9 a^{-4} + a^{-6} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+2 a z^9-2 z^9 a^{-1} -2 z^9 a^{-3} +2 z^9 a^{-5} +2 a^2 z^8-32 z^8 a^{-2} -21 z^8 a^{-4} -9 z^8+a^3 z^7-7 a z^7-8 z^7 a^{-1} -13 z^7 a^{-3} -13 z^7 a^{-5} -9 a^2 z^6+78 z^6 a^{-2} +55 z^6 a^{-4} +z^6 a^{-6} +15 z^6-5 a^3 z^5+2 a z^5+25 z^5 a^{-1} +48 z^5 a^{-3} +30 z^5 a^{-5} +10 a^2 z^4-93 z^4 a^{-2} -64 z^4 a^{-4} -3 z^4 a^{-6} -22 z^4+7 a^3 z^3+4 a z^3-28 z^3 a^{-1} -50 z^3 a^{-3} -24 z^3 a^{-5} +z^3 a^{-7} -3 a^2 z^2+56 z^2 a^{-2} +38 z^2 a^{-4} +4 z^2 a^{-6} +19 z^2-3 a^3 z-a z+11 z a^{-1} +17 z a^{-3} +6 z a^{-5} -2 z a^{-7} -15 a^{-2} -9 a^{-4} - a^{-6} -6 }[/math] |
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