K13n3534
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Polynomial invariants
| Jones polynomial | Data:K13n3534/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-14 t^2+17 t-17+17 t^{-1} -14 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3534/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+25 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+39 z^4 a^{-2} -17 z^4 a^{-4} +z^4 a^{-6} -13 z^4+30 z^2 a^{-2} -17 z^2 a^{-4} +2 z^2 a^{-6} -12 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+5 a z^9-3 z^9 a^{-3} +2 z^9 a^{-5} +3 a^2 z^8-41 z^8 a^{-2} -20 z^8 a^{-4} -18 z^8+a^3 z^7-18 a z^7-21 z^7 a^{-1} -11 z^7 a^{-3} -9 z^7 a^{-5} -11 a^2 z^6+77 z^6 a^{-2} +45 z^6 a^{-4} +z^6 a^{-6} +22 z^6-4 a^3 z^5+17 a z^5+36 z^5 a^{-1} +38 z^5 a^{-3} +23 z^5 a^{-5} +10 a^2 z^4-78 z^4 a^{-2} -43 z^4 a^{-4} +2 z^4 a^{-6} -23 z^4+4 a^3 z^3-7 a z^3-27 z^3 a^{-1} -35 z^3 a^{-3} -18 z^3 a^{-5} +z^3 a^{-7} -3 a^2 z^2+41 z^2 a^{-2} +23 z^2 a^{-4} +15 z^2-a^3 z+a z+7 z a^{-1} +10 z a^{-3} +5 z a^{-5} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math] |
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