K13n3651
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Polynomial invariants
| Jones polynomial | Data:K13n3651/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-12 t^3+29 t^2-44 t+51-44 t^{-1} +29 t^{-2} -12 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3651/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+2 z^6 a^{-2} -z^6 a^{-4} +4 z^6-4 a^2 z^4-4 z^4 a^{-2} -z^4 a^{-4} +6 z^4+a^4 z^2-4 a^2 z^2-9 z^2 a^{-2} +3 z^2 a^{-4} +5 z^2+a^4-a^2-3 a^{-2} +2 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-1} +4 z^{11} a^{-3} +22 z^{10} a^{-2} +12 z^{10} a^{-4} +10 z^{10}+9 a z^9+14 z^9 a^{-1} +18 z^9 a^{-3} +13 z^9 a^{-5} +4 a^2 z^8-53 z^8 a^{-2} -23 z^8 a^{-4} +6 z^8 a^{-6} -20 z^8+a^3 z^7-18 a z^7-62 z^7 a^{-1} -79 z^7 a^{-3} -35 z^7 a^{-5} +z^7 a^{-7} +28 z^6 a^{-2} -6 z^6 a^{-4} -13 z^6 a^{-6} +21 z^6+5 a^3 z^5+28 a z^5+75 z^5 a^{-1} +75 z^5 a^{-3} +22 z^5 a^{-5} -z^5 a^{-7} +3 a^4 z^4+2 a^2 z^4+7 z^4 a^{-2} +17 z^4 a^{-4} +5 z^4 a^{-6} -6 z^4-6 a^3 z^3-16 a z^3-37 z^3 a^{-1} -28 z^3 a^{-3} -z^3 a^{-5} -4 a^4 z^2-2 a^2 z^2-13 z^2 a^{-2} -7 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+2 a^3 z+4 a z+6 z a^{-1} +4 z a^{-3} +a^4+a^2+3 a^{-2} +2 a^{-4} +2 }[/math] |
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