K13n3357
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Polynomial invariants
| Jones polynomial | Data:K13n3357/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+36 t-43+36 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3357/Conway Polynomial |
| Determinant | 171 |
| 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^4-6 z^4 a^{-2} +2 z^4 a^{-4} +7 z^4-3 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +9 z^2-2 a^2-3 a^{-2} +2 a^{-4} - a^{-6} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +6 z^{10} a^{-4} +5 z^{10}+5 a z^9+8 z^9 a^{-1} +9 z^9 a^{-3} +6 z^9 a^{-5} +3 a^2 z^8-22 z^8 a^{-2} -9 z^8 a^{-4} +2 z^8 a^{-6} -8 z^8+a^3 z^7-13 a z^7-31 z^7 a^{-1} -25 z^7 a^{-3} -8 z^7 a^{-5} -10 a^2 z^6+9 z^6 a^{-2} +11 z^6 a^{-4} +6 z^6 a^{-6} -6 z^6-4 a^3 z^5+7 a z^5+23 z^5 a^{-1} +16 z^5 a^{-3} +10 z^5 a^{-5} +6 z^5 a^{-7} +11 a^2 z^4+z^4 a^{-2} -7 z^4 a^{-4} -4 z^4 a^{-6} +z^4 a^{-8} +14 z^4+5 a^3 z^3+3 a z^3-5 z^3 a^{-1} -2 z^3 a^{-3} -z^3 a^{-5} -2 z^3 a^{-7} -6 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -13 z^2-2 a^3 z-3 a z-z a^{-1} -2 z a^{-5} -2 z a^{-7} +2 a^2+3 a^{-2} +2 a^{-4} + a^{-6} +5 }[/math] |
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