K13n1522
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Polynomial invariants
| Jones polynomial | Data:K13n1522/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+18 t^2-33 t+39-33 t^{-1} +18 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1522/Conway Polynomial |
| Determinant | 149 |
| 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} -2 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-8} +3 z^2 a^{-10} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +5 z^9 a^{-5} +7 z^9 a^{-7} +5 z^9 a^{-9} +3 z^9 a^{-11} +5 z^8 a^{-4} +3 z^8 a^{-6} -8 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} +3 z^7 a^{-3} -6 z^7 a^{-5} -12 z^7 a^{-7} -7 z^7 a^{-9} -4 z^7 a^{-11} +z^6 a^{-2} -10 z^6 a^{-4} -14 z^6 a^{-6} +8 z^6 a^{-8} +15 z^6 a^{-10} +4 z^6 a^{-12} -7 z^5 a^{-3} -2 z^5 a^{-5} +3 z^5 a^{-7} +5 z^5 a^{-11} +3 z^5 a^{-13} -3 z^4 a^{-2} +5 z^4 a^{-4} +11 z^4 a^{-6} -9 z^4 a^{-8} -24 z^4 a^{-10} -12 z^4 a^{-12} +4 z^3 a^{-3} +2 z^3 a^{-5} +4 z^3 a^{-7} +6 z^3 a^{-9} -6 z^3 a^{-11} -6 z^3 a^{-13} +3 z^2 a^{-2} -2 z^2 a^{-4} -5 z^2 a^{-6} +7 z^2 a^{-8} +14 z^2 a^{-10} +7 z^2 a^{-12} -z a^{-5} -2 z a^{-7} -2 z a^{-9} +z a^{-11} +2 z a^{-13} - a^{-2} + a^{-4} + a^{-6} - a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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