K13n2629
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Polynomial invariants
| Jones polynomial | Data:K13n2629/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+35 t-47+35 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2629/Conway Polynomial |
| Determinant | 147 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2-2 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} -z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +6 z^{10} a^{-4} +2 z^{10} a^{-6} +7 z^9 a^{-1} +10 z^9 a^{-3} +4 z^9 a^{-5} +z^9 a^{-7} +2 z^8 a^{-2} -7 z^8 a^{-4} -2 z^8 a^{-6} +7 z^8+4 a z^7-11 z^7 a^{-1} -27 z^7 a^{-3} -10 z^7 a^{-5} +2 z^7 a^{-7} +a^2 z^6-20 z^6 a^{-2} -5 z^6 a^{-4} +3 z^6 a^{-6} +4 z^6 a^{-8} -15 z^6-9 a z^5+z^5 a^{-1} +27 z^5 a^{-3} +12 z^5 a^{-5} -4 z^5 a^{-7} +z^5 a^{-9} -2 a^2 z^4+21 z^4 a^{-2} +20 z^4 a^{-4} +2 z^4 a^{-6} -7 z^4 a^{-8} +8 z^4+5 a z^3-2 z^3 a^{-1} -12 z^3 a^{-3} -z^3 a^{-5} +2 z^3 a^{-7} -2 z^3 a^{-9} +a^2 z^2-12 z^2 a^{-2} -12 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} -3 z^2+z a^{-1} +2 z a^{-3} -z a^{-7} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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