K13n1226
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Polynomial invariants
| Jones polynomial | Data:K13n1226/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+2 t-1+2 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n1226/Conway Polynomial |
| Determinant | 7 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6+z^6 a^{-2} +a^4 z^4-5 a^2 z^4+5 z^4 a^{-2} -z^4 a^{-4} -z^4+3 a^4 z^2-7 a^2 z^2+9 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2+2 a^4-2 a^2+6 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a^3 z^9+2 a z^9-4 z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} +2 a^4 z^8+2 a^2 z^8-27 z^8 a^{-2} -14 z^8 a^{-4} -13 z^8+2 a^5 z^7-5 a^3 z^7-15 a z^7-4 z^7 a^{-1} -3 z^7 a^{-3} -7 z^7 a^{-5} +a^6 z^6-9 a^4 z^6-15 a^2 z^6+58 z^6 a^{-2} +33 z^6 a^{-4} +20 z^6-8 a^5 z^5+6 a^3 z^5+26 a z^5+17 z^5 a^{-1} +21 z^5 a^{-3} +16 z^5 a^{-5} -4 a^6 z^4+10 a^4 z^4+26 a^2 z^4-57 z^4 a^{-2} -33 z^4 a^{-4} -12 z^4+6 a^5 z^3-6 a^3 z^3-16 a z^3-9 z^3 a^{-1} -18 z^3 a^{-3} -13 z^3 a^{-5} +3 a^6 z^2-7 a^4 z^2-17 a^2 z^2+30 z^2 a^{-2} +14 z^2 a^{-4} +9 z^2-a^5 z+2 a^3 z+4 a z+2 z a^{-1} +3 z a^{-3} +2 z a^{-5} +2 a^4+2 a^2-6 a^{-2} -2 a^{-4} -3 }[/math] |
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