K13n4161
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Polynomial invariants
| Jones polynomial | Data:K13n4161/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+38 t-51+38 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4161/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-z^2 a^6+z^6 a^4-z^2 a^4+z^6 a^2+z^4 a^2+z^2 a^2-z^4+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+10 a^4 z^{10}+4 a^2 z^{10}+8 a^7 z^9+7 a^5 z^9+a^3 z^9+2 a z^9+7 a^8 z^8-9 a^6 z^8-29 a^4 z^8-13 a^2 z^8+4 a^9 z^7-15 a^7 z^7-27 a^5 z^7-10 a^3 z^7-2 a z^7+a^{10} z^6-14 a^8 z^6+5 a^6 z^6+43 a^4 z^6+28 a^2 z^6+5 z^6-9 a^9 z^5+7 a^7 z^5+36 a^5 z^5+22 a^3 z^5+3 a z^5+z^5 a^{-1} -2 a^{10} z^4+5 a^8 z^4-6 a^6 z^4-27 a^4 z^4-23 a^2 z^4-9 z^4+5 a^9 z^3-5 a^7 z^3-20 a^5 z^3-12 a^3 z^3-4 a z^3-2 z^3 a^{-1} +a^{10} z^2+a^6 z^2+7 a^4 z^2+6 a^2 z^2+z^2+a^7 z+3 a^5 z+3 a^3 z+a z+1 }[/math] |
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