K13n3465
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Polynomial invariants
| Jones polynomial | Data:K13n3465/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-10 t^2+11 t-11+11 t^{-1} -10 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3465/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+24 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+35 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -12 z^4+26 z^2 a^{-2} -14 z^2 a^{-4} +2 z^2 a^{-6} -10 z^2+8 a^{-2} -4 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +4 z^{10} a^{-4} +4 z^{10}+4 a z^9-5 z^9 a^{-1} -7 z^9 a^{-3} +2 z^9 a^{-5} +3 a^2 z^8-45 z^8 a^{-2} -25 z^8 a^{-4} -17 z^8+a^3 z^7-15 a z^7-6 z^7 a^{-1} -z^7 a^{-3} -11 z^7 a^{-5} -12 a^2 z^6+93 z^6 a^{-2} +58 z^6 a^{-4} +z^6 a^{-6} +24 z^6-4 a^3 z^5+12 a z^5+22 z^5 a^{-1} +28 z^5 a^{-3} +22 z^5 a^{-5} +11 a^2 z^4-89 z^4 a^{-2} -56 z^4 a^{-4} -2 z^4 a^{-6} -24 z^4+4 a^3 z^3-3 a z^3-22 z^3 a^{-1} -29 z^3 a^{-3} -13 z^3 a^{-5} +z^3 a^{-7} -2 a^2 z^2+40 z^2 a^{-2} +26 z^2 a^{-4} +2 z^2 a^{-6} +14 z^2-a^3 z+a z+7 z a^{-1} +9 z a^{-3} +2 z a^{-5} -2 z a^{-7} -8 a^{-2} -4 a^{-4} -3 }[/math] |
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