K13n1783
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Polynomial invariants
| Jones polynomial | Data:K13n1783/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+16 t^2-32 t+41-32 t^{-1} +16 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1783/Conway Polynomial |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+16 a^2 z^4+z^4 a^{-2} -7 z^4-7 a^4 z^2+19 a^2 z^2+z^2 a^{-2} -10 z^2-4 a^4+9 a^2+ a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+11 a^2 z^{10}+6 z^{10}+5 a^5 z^9+5 a^3 z^9+6 a z^9+6 z^9 a^{-1} +3 a^6 z^8-13 a^4 z^8-37 a^2 z^8+2 z^8 a^{-2} -19 z^8+a^7 z^7-15 a^5 z^7-31 a^3 z^7-34 a z^7-19 z^7 a^{-1} -10 a^6 z^6+12 a^4 z^6+59 a^2 z^6+z^6 a^{-2} +38 z^6-4 a^7 z^5+12 a^5 z^5+44 a^3 z^5+63 a z^5+40 z^5 a^{-1} +5 z^5 a^{-3} +9 a^6 z^4-18 a^4 z^4-63 a^2 z^4+z^4 a^{-2} +z^4 a^{-4} -36 z^4+5 a^7 z^3-5 a^5 z^3-36 a^3 z^3-53 a z^3-32 z^3 a^{-1} -5 z^3 a^{-3} -2 a^6 z^2+16 a^4 z^2+36 a^2 z^2-z^2 a^{-4} +19 z^2-2 a^7 z+2 a^5 z+12 a^3 z+15 a z+9 z a^{-1} +2 z a^{-3} -4 a^4-9 a^2- a^{-2} -5 }[/math] |
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