K13n4019
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Polynomial invariants
| Jones polynomial | Data:K13n4019/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+35 t-39+35 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4019/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-5 z^4 a^{-2} +2 z^4 a^{-4} +5 z^4-a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +z^2+a^2+2 a^{-2} -2 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +3 z^{10} a^{-4} +7 z^{10}+9 a z^9+11 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} +5 a^2 z^8-16 z^8 a^{-2} -11 z^8+a^3 z^7-26 a z^7-39 z^7 a^{-1} -z^7 a^{-3} +11 z^7 a^{-5} -14 a^2 z^6-5 z^6 a^{-2} +5 z^6 a^{-4} +10 z^6 a^{-6} -14 z^6-2 a^3 z^5+17 a z^5+20 z^5 a^{-1} -19 z^5 a^{-3} -16 z^5 a^{-5} +4 z^5 a^{-7} +10 a^2 z^4+6 z^4 a^{-2} -14 z^4 a^{-4} -10 z^4 a^{-6} +z^4 a^{-8} +19 z^4+a^3 z^3+6 z^3 a^{-1} +18 z^3 a^{-3} +10 z^3 a^{-5} -z^3 a^{-7} -a^2 z^2+4 z^2 a^{-2} +9 z^2 a^{-4} +5 z^2 a^{-6} -z^2-a z-3 z a^{-1} -5 z a^{-3} -3 z a^{-5} -a^2-2 a^{-2} -2 a^{-4} - a^{-6} -1 }[/math] |
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