K13n1744
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Polynomial invariants
| Jones polynomial | Data:K13n1744/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-20 t^2+33 t-39+33 t^{-1} -20 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1744/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +z^6-4 z^4 a^{-2} -10 z^4 a^{-4} +5 z^4 a^{-6} +3 z^4+2 z^2 a^{-2} -10 z^2 a^{-4} +9 z^2 a^{-6} -z^2 a^{-8} +2 z^2+3 a^{-2} -5 a^{-4} +5 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +9 z^9 a^{-1} +9 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -7 z^8 a^{-2} -32 z^8 a^{-4} -16 z^8 a^{-6} +z^8 a^{-8} +8 z^8+4 a z^7-22 z^7 a^{-1} -36 z^7 a^{-3} -20 z^7 a^{-5} -10 z^7 a^{-7} +a^2 z^6-7 z^6 a^{-2} +50 z^6 a^{-4} +39 z^6 a^{-6} +4 z^6 a^{-8} -21 z^6-9 a z^5+18 z^5 a^{-1} +49 z^5 a^{-3} +40 z^5 a^{-5} +21 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+11 z^4 a^{-2} -42 z^4 a^{-4} -47 z^4 a^{-6} -12 z^4 a^{-8} +16 z^4+3 a z^3-8 z^3 a^{-1} -26 z^3 a^{-3} -33 z^3 a^{-5} -25 z^3 a^{-7} -7 z^3 a^{-9} +2 z^2 a^{-2} +22 z^2 a^{-4} +23 z^2 a^{-6} +8 z^2 a^{-8} -5 z^2+2 z a^{-1} +6 z a^{-3} +8 z a^{-5} +8 z a^{-7} +4 z a^{-9} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math] |
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