K13n1600
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Polynomial invariants
| Jones polynomial | Data:K13n1600/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+16 t^2-16 t+13-16 t^{-1} +16 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1600/Conway Polynomial |
| Determinant | 93 |
| 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} -8 z^4 a^{-2} +9 z^4 a^{-4} -9 z^4 a^{-6} +z^4 a^{-8} +z^4-7 z^2 a^{-2} +10 z^2 a^{-4} -10 z^2 a^{-6} +5 z^2 a^{-8} +3 z^2- a^{-2} +3 a^{-4} -4 a^{-6} +3 a^{-8} - a^{-10} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +4 z^9 a^{-3} +5 z^9 a^{-5} +4 z^9 a^{-7} -11 z^8 a^{-2} -20 z^8 a^{-4} -5 z^8 a^{-6} +3 z^8 a^{-8} +z^8-15 z^7 a^{-1} -32 z^7 a^{-3} -30 z^7 a^{-5} -12 z^7 a^{-7} +z^7 a^{-9} +5 z^6 a^{-2} +8 z^6 a^{-4} -11 z^6 a^{-6} -9 z^6 a^{-8} -5 z^6+23 z^5 a^{-1} +45 z^5 a^{-3} +34 z^5 a^{-5} +12 z^5 a^{-7} +11 z^4 a^{-2} +14 z^4 a^{-4} +24 z^4 a^{-6} +16 z^4 a^{-8} +3 z^4 a^{-10} +8 z^4-12 z^3 a^{-1} -19 z^3 a^{-3} -12 z^3 a^{-5} -4 z^3 a^{-7} +2 z^3 a^{-9} +z^3 a^{-11} -9 z^2 a^{-2} -12 z^2 a^{-4} -17 z^2 a^{-6} -12 z^2 a^{-8} -3 z^2 a^{-10} -5 z^2+z a^{-1} +2 z a^{-3} +z a^{-5} -z a^{-9} -z a^{-11} + a^{-2} +3 a^{-4} +4 a^{-6} +3 a^{-8} + a^{-10} +1 }[/math] |
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