K13n1136
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Polynomial invariants
| Jones polynomial | Data:K13n1136/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-19 t+21-19 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1136/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -14 z^4 a^{-4} +14 z^4 a^{-6} -4 z^4 a^{-8} +7 z^2 a^{-2} -19 z^2 a^{-4} +15 z^2 a^{-6} -4 z^2 a^{-8} +5 a^{-2} -8 a^{-4} +5 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-3} -z^9 a^{-5} +2 z^9 a^{-7} +4 z^9 a^{-9} -9 z^8 a^{-4} -21 z^8 a^{-6} -8 z^8 a^{-8} +4 z^8 a^{-10} -z^7 a^{-3} -3 z^7 a^{-5} -15 z^7 a^{-7} -9 z^7 a^{-9} +4 z^7 a^{-11} +3 z^6 a^{-2} +25 z^6 a^{-4} +43 z^6 a^{-6} +12 z^6 a^{-8} -6 z^6 a^{-10} +3 z^6 a^{-12} -4 z^5 a^{-3} +10 z^5 a^{-5} +32 z^5 a^{-7} +9 z^5 a^{-9} -8 z^5 a^{-11} +z^5 a^{-13} -12 z^4 a^{-2} -46 z^4 a^{-4} -46 z^4 a^{-6} -5 z^4 a^{-8} -7 z^4 a^{-12} +z^3 a^{-3} -18 z^3 a^{-5} -24 z^3 a^{-7} +z^3 a^{-9} +4 z^3 a^{-11} -2 z^3 a^{-13} +14 z^2 a^{-2} +34 z^2 a^{-4} +22 z^2 a^{-6} +3 z^2 a^{-8} +4 z^2 a^{-10} +3 z^2 a^{-12} +3 z a^{-3} +8 z a^{-5} +5 z a^{-7} -z a^{-9} -z a^{-11} -5 a^{-2} -8 a^{-4} -5 a^{-6} - a^{-8} }[/math] |
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