K13n691
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Polynomial invariants
| Jones polynomial | Data:K13n691/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+14 t^2-11 t+7-11 t^{-1} +14 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n691/Conway Polynomial |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -9 z^4 a^{-2} +8 z^4 a^{-4} -9 z^4 a^{-6} +z^4 a^{-8} +z^4-10 z^2 a^{-2} +8 z^2 a^{-4} -9 z^2 a^{-6} +5 z^2 a^{-8} +4 z^2-4 a^{-2} +3 a^{-4} -3 a^{-6} +3 a^{-8} - a^{-10} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^9 a^{-1} +2 z^9 a^{-5} +4 z^9 a^{-7} -7 z^8 a^{-2} -21 z^8 a^{-4} -10 z^8 a^{-6} +3 z^8 a^{-8} +z^8-10 z^7 a^{-1} -15 z^7 a^{-3} -23 z^7 a^{-5} -17 z^7 a^{-7} +z^7 a^{-9} -z^6 a^{-2} +21 z^6 a^{-4} +4 z^6 a^{-6} -12 z^6 a^{-8} -6 z^6+14 z^5 a^{-1} +21 z^5 a^{-3} +33 z^5 a^{-5} +25 z^5 a^{-7} -z^5 a^{-9} +17 z^4 a^{-2} -3 z^4 a^{-4} +10 z^4 a^{-6} +21 z^4 a^{-8} +3 z^4 a^{-10} +12 z^4-6 z^3 a^{-1} -5 z^3 a^{-3} -13 z^3 a^{-5} -13 z^3 a^{-7} +2 z^3 a^{-9} +z^3 a^{-11} -15 z^2 a^{-2} -5 z^2 a^{-4} -10 z^2 a^{-6} -14 z^2 a^{-8} -4 z^2 a^{-10} -10 z^2-2 z a^{-3} -z a^{-5} +z a^{-7} -z a^{-9} -z a^{-11} +4 a^{-2} +3 a^{-4} +3 a^{-6} +3 a^{-8} + a^{-10} +3 }[/math] |
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