K13n28
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Polynomial invariants
| Jones polynomial | Data:K13n28/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:K13n28/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +9 z^4 a^{-4} -4 z^4 a^{-6} +z^4-9 z^2 a^{-2} +9 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +3 z^2-3 a^{-2} +4 a^{-4} -3 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +7 z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^9 a^{-1} +7 z^9 a^{-3} +9 z^9 a^{-5} +5 z^9 a^{-7} -8 z^8 a^{-2} -20 z^8 a^{-4} -9 z^8 a^{-6} +2 z^8 a^{-8} +z^8-14 z^7 a^{-1} -44 z^7 a^{-3} -49 z^7 a^{-5} -19 z^7 a^{-7} -7 z^6 a^{-2} -4 z^6 a^{-4} -8 z^6 a^{-6} -6 z^6 a^{-8} -5 z^6+21 z^5 a^{-1} +61 z^5 a^{-3} +64 z^5 a^{-5} +25 z^5 a^{-7} +z^5 a^{-9} +27 z^4 a^{-2} +32 z^4 a^{-4} +24 z^4 a^{-6} +10 z^4 a^{-8} +9 z^4-12 z^3 a^{-1} -31 z^3 a^{-3} -33 z^3 a^{-5} -12 z^3 a^{-7} +2 z^3 a^{-9} -18 z^2 a^{-2} -20 z^2 a^{-4} -15 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} -7 z^2+2 z a^{-1} +6 z a^{-3} +6 z a^{-5} +z a^{-7} -z a^{-9} +3 a^{-2} +4 a^{-4} +3 a^{-6} + a^{-8} +2 }[/math] |
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