K13n3129
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Polynomial invariants
| Jones polynomial | Data:K13n3129/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+17 t^2-30 t+35-30 t^{-1} +17 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3129/Conway Polynomial |
| Determinant | 137 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -z^4 a^{-4} -5 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -4 z^2 a^{-8} +4 z^2 a^{-10} + a^{-2} + a^{-4} -3 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +5 z^9 a^{-5} +5 z^9 a^{-7} +z^9 a^{-9} +z^9 a^{-11} +5 z^8 a^{-4} +2 z^8 a^{-6} -8 z^8 a^{-8} -5 z^8 a^{-10} +3 z^7 a^{-3} -6 z^7 a^{-5} -5 z^7 a^{-7} +5 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} -10 z^6 a^{-4} -11 z^6 a^{-6} +17 z^6 a^{-8} +21 z^6 a^{-10} +4 z^6 a^{-12} -7 z^5 a^{-3} -3 z^5 a^{-5} -6 z^5 a^{-7} -9 z^5 a^{-9} +2 z^5 a^{-11} +z^5 a^{-13} -3 z^4 a^{-2} +5 z^4 a^{-4} +6 z^4 a^{-6} -25 z^4 a^{-8} -30 z^4 a^{-10} -7 z^4 a^{-12} +4 z^3 a^{-3} +4 z^3 a^{-5} +8 z^3 a^{-7} +5 z^3 a^{-9} -5 z^3 a^{-11} -2 z^3 a^{-13} +3 z^2 a^{-2} -2 z^2 a^{-4} -z^2 a^{-6} +16 z^2 a^{-8} +16 z^2 a^{-10} +4 z^2 a^{-12} -2 z a^{-5} -3 z a^{-7} -z a^{-9} +z a^{-11} +z a^{-13} - a^{-2} + a^{-4} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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