K13n2241
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Polynomial invariants
| Jones polynomial | Data:K13n2241/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-12 t^2+24 t-29+24 t^{-1} -12 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2241/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+7 z^4 a^{-2} -2 z^4 a^{-4} +2 z^4-2 a^2 z^2+8 z^2 a^{-2} -4 z^2 a^{-4} +z^2-a^2+3 a^{-2} -2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^{10}+4 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-13 z^8 a^{-2} -6 z^8 a^{-4} -4 z^8+a^3 z^7-11 a z^7-16 z^7 a^{-1} -6 z^7 a^{-3} -2 z^7 a^{-5} -11 a^2 z^6+15 z^6 a^{-2} +14 z^6 a^{-4} +z^6 a^{-6} -9 z^6-4 a^3 z^5+3 a z^5+9 z^5 a^{-1} +11 z^5 a^{-3} +9 z^5 a^{-5} +12 a^2 z^4-18 z^4 a^{-2} -11 z^4 a^{-4} +4 z^4 a^{-6} +9 z^4+5 a^3 z^3+6 a z^3-2 z^3 a^{-1} -10 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} -5 a^2 z^2+11 z^2 a^{-2} +6 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2-2 a^3 z-3 a z+3 z a^{-3} +z a^{-5} -z a^{-7} +a^2-3 a^{-2} -2 a^{-4} +1 }[/math] |
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