K13n4873
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Polynomial invariants
| Jones polynomial | Data:K13n4873/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+40 t-47+40 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4873/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-11 z^4 a^{-2} +4 z^4 a^{-4} +10 z^4+a^4 z^2-6 a^2 z^2-11 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +10 z^2+a^4-2 a^2-3 a^{-2} +3 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +6 a^2 z^{10}+11 z^{10} a^{-2} +17 z^{10}+4 a^3 z^9+6 a z^9+19 z^9 a^{-1} +17 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-14 z^8 a^{-2} +14 z^8 a^{-4} -48 z^8-16 a^3 z^7-54 a z^7-86 z^7 a^{-1} -42 z^7 a^{-3} +6 z^7 a^{-5} -4 a^4 z^6+10 a^2 z^6-28 z^6 a^{-2} -29 z^6 a^{-4} +z^6 a^{-6} +16 z^6+22 a^3 z^5+73 a z^5+86 z^5 a^{-1} +34 z^5 a^{-3} -z^5 a^{-5} +6 a^4 z^4+14 a^2 z^4+41 z^4 a^{-2} +28 z^4 a^{-4} +8 z^4 a^{-6} +29 z^4-12 a^3 z^3-30 a z^3-29 z^3 a^{-1} -13 z^3 a^{-3} +z^3 a^{-5} +3 z^3 a^{-7} -4 a^4 z^2-12 a^2 z^2-19 z^2 a^{-2} -14 z^2 a^{-4} -5 z^2 a^{-6} -18 z^2+2 a^3 z+3 a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +a^4+2 a^2+3 a^{-2} +3 a^{-4} + a^{-6} +3 }[/math] |
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