K13n1103
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Polynomial invariants
| Jones polynomial | Data:K13n1103/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+7 t^3-14 t^2+23 t-27+23 t^{-1} -14 t^{-2} +7 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1103/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +9 z^8 a^{-2} -z^8 a^{-4} -z^8+33 z^6 a^{-2} -8 z^6 a^{-4} -7 z^6+61 z^4 a^{-2} -25 z^4 a^{-4} +z^4 a^{-6} -19 z^4+58 z^2 a^{-2} -33 z^2 a^{-4} +4 z^2 a^{-6} -22 z^2+23 a^{-2} -16 a^{-4} +3 a^{-6} -9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10}+3 a z^9+5 z^9 a^{-1} +7 z^9 a^{-3} +5 z^9 a^{-5} +2 a^2 z^8-26 z^8 a^{-2} -13 z^8 a^{-4} +2 z^8 a^{-6} -9 z^8+a^3 z^7-9 a z^7-26 z^7 a^{-1} -35 z^7 a^{-3} -19 z^7 a^{-5} -7 a^2 z^6+59 z^6 a^{-2} +34 z^6 a^{-4} -z^6 a^{-6} +17 z^6-5 a^3 z^5+7 a z^5+49 z^5 a^{-1} +80 z^5 a^{-3} +48 z^5 a^{-5} +5 z^5 a^{-7} +6 a^2 z^4-88 z^4 a^{-2} -47 z^4 a^{-4} +3 z^4 a^{-6} +z^4 a^{-8} -33 z^4+8 a^3 z^3-2 a z^3-56 z^3 a^{-1} -89 z^3 a^{-3} -49 z^3 a^{-5} -6 z^3 a^{-7} +66 z^2 a^{-2} +40 z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} +29 z^2-4 a^3 z+a z+23 z a^{-1} +36 z a^{-3} +20 z a^{-5} +2 z a^{-7} -23 a^{-2} -16 a^{-4} -3 a^{-6} -9 }[/math] |
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