K13n2739
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Polynomial invariants
| Jones polynomial | Data:K13n2739/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-19 t^2+41 t-53+41 t^{-1} -19 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2739/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +2 z^6 a^{-4} +z^6-11 z^4 a^{-2} +6 z^4 a^{-4} -z^4 a^{-6} +3 z^4-9 z^2 a^{-2} +8 z^2 a^{-4} +4 z^2-2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +5 z^{10} a^{-2} +8 z^{10} a^{-4} +3 z^{10} a^{-6} +9 z^9 a^{-1} +18 z^9 a^{-3} +12 z^9 a^{-5} +3 z^9 a^{-7} +8 z^8 a^{-2} +2 z^8 a^{-4} +3 z^8 a^{-6} +z^8 a^{-8} +8 z^8+4 a z^7-13 z^7 a^{-1} -39 z^7 a^{-3} -23 z^7 a^{-5} -z^7 a^{-7} +a^2 z^6-37 z^6 a^{-2} -32 z^6 a^{-4} -8 z^6 a^{-6} +4 z^6 a^{-8} -16 z^6-8 a z^5+z^5 a^{-1} +23 z^5 a^{-3} +14 z^5 a^{-5} +3 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+34 z^4 a^{-2} +35 z^4 a^{-4} +6 z^4 a^{-6} -8 z^4 a^{-8} +11 z^4+5 a z^3+2 z^3 a^{-1} -z^3 a^{-3} +z^3 a^{-5} -7 z^3 a^{-7} -6 z^3 a^{-9} +a^2 z^2-14 z^2 a^{-2} -13 z^2 a^{-4} -2 z^2 a^{-6} +3 z^2 a^{-8} -5 z^2-a z-2 z a^{-1} -2 z a^{-3} -2 z a^{-5} +2 z a^{-7} +3 z a^{-9} +2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
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