K13n3433
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Polynomial invariants
| Jones polynomial | Data:K13n3433/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-17 t^2+35 t-43+35 t^{-1} -17 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3433/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 3 z^6 a^{-2} +z^6-a^2 z^4+11 z^4 a^{-2} -4 z^4 a^{-4} +z^4-2 a^2 z^2+14 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -z^2-a^2+6 a^{-2} -5 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +6 z^{10} a^{-4} +5 z^{10}+5 a z^9+6 z^9 a^{-1} +7 z^9 a^{-3} +6 z^9 a^{-5} +3 a^2 z^8-33 z^8 a^{-2} -17 z^8 a^{-4} +2 z^8 a^{-6} -11 z^8+a^3 z^7-14 a z^7-31 z^7 a^{-1} -34 z^7 a^{-3} -18 z^7 a^{-5} -10 a^2 z^6+47 z^6 a^{-2} +33 z^6 a^{-4} +z^6 a^{-6} +5 z^6-4 a^3 z^5+9 a z^5+37 z^5 a^{-1} +58 z^5 a^{-3} +39 z^5 a^{-5} +5 z^5 a^{-7} +10 a^2 z^4-50 z^4 a^{-2} -32 z^4 a^{-4} +2 z^4 a^{-6} +z^4 a^{-8} -7 z^4+5 a^3 z^3-26 z^3 a^{-1} -48 z^3 a^{-3} -32 z^3 a^{-5} -5 z^3 a^{-7} -4 a^2 z^2+27 z^2 a^{-2} +18 z^2 a^{-4} -z^2 a^{-8} +6 z^2-2 a^3 z-a z+7 z a^{-1} +14 z a^{-3} +10 z a^{-5} +2 z a^{-7} +a^2-6 a^{-2} -5 a^{-4} - a^{-6} }[/math] |
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