K13n1225
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Polynomial invariants
| Jones polynomial | Data:K13n1225/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+17 t^2-32 t+39-32 t^{-1} +17 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1225/Conway Polynomial |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} -2 z^6 a^{-6} +2 z^4 a^{-2} -7 z^4 a^{-4} -5 z^4 a^{-6} +3 z^4 a^{-8} +6 z^2 a^{-2} -9 z^2 a^{-4} -2 z^2 a^{-6} +6 z^2 a^{-8} -z^2 a^{-10} +4 a^{-2} -5 a^{-4} + a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} +2 z^9 a^{-5} +9 z^9 a^{-7} +8 z^9 a^{-9} -7 z^8 a^{-4} -14 z^8 a^{-6} +3 z^8 a^{-8} +10 z^8 a^{-10} -z^7 a^{-3} -10 z^7 a^{-5} -26 z^7 a^{-7} -9 z^7 a^{-9} +8 z^7 a^{-11} +3 z^6 a^{-2} +20 z^6 a^{-4} +19 z^6 a^{-6} -18 z^6 a^{-8} -16 z^6 a^{-10} +4 z^6 a^{-12} -2 z^5 a^{-3} +20 z^5 a^{-5} +35 z^5 a^{-7} -12 z^5 a^{-11} +z^5 a^{-13} -12 z^4 a^{-2} -36 z^4 a^{-4} -16 z^4 a^{-6} +22 z^4 a^{-8} +9 z^4 a^{-10} -5 z^4 a^{-12} -23 z^3 a^{-5} -26 z^3 a^{-7} +3 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +14 z^2 a^{-2} +25 z^2 a^{-4} +4 z^2 a^{-6} -11 z^2 a^{-8} -3 z^2 a^{-10} +z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +7 z a^{-7} +z a^{-9} -z a^{-11} -4 a^{-2} -5 a^{-4} - a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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