K13n2078
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Polynomial invariants
| Jones polynomial | Data:K13n2078/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+15 t-17+15 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2078/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +3 z^2+a^4-a^2-3 a^{-2} +2 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+2 a z^9+z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-12 a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} -20 z^8-15 a^3 z^7-26 a z^7-21 z^7 a^{-1} -10 z^7 a^{-3} -5 a^4 z^6+7 a^2 z^6-6 z^6 a^{-2} -6 z^6 a^{-4} +12 z^6+22 a^3 z^5+38 a z^5+31 z^5 a^{-1} +15 z^5 a^{-3} +8 a^4 z^4+9 a^2 z^4+23 z^4 a^{-2} +12 z^4 a^{-4} +12 z^4-11 a^3 z^3-15 a z^3-14 z^3 a^{-1} -10 z^3 a^{-3} -5 a^4 z^2-8 a^2 z^2-17 z^2 a^{-2} -10 z^2 a^{-4} -10 z^2+a^3 z+a z+3 z a^{-1} +3 z a^{-3} +a^4+a^2+3 a^{-2} +2 a^{-4} +2 }[/math] |
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