K13n4009
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Polynomial invariants
| Jones polynomial | Data:K13n4009/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+35 t-41+35 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4009/Conway Polynomial |
| Determinant | 167 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-4 a^4 z^6+2 a^2 z^6+2 a^6 z^4-5 a^4 z^4+6 a^2 z^4-z^4-a^4 z^2+5 a^2 z^2-2 z^2-a^6+a^4+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+10 a^4 z^{10}+3 a^2 z^{10}+11 a^7 z^9+10 a^5 z^9+a z^9+10 a^8 z^8-7 a^6 z^8-25 a^4 z^8-8 a^2 z^8+5 a^9 z^7-22 a^7 z^7-34 a^5 z^7-5 a^3 z^7+2 a z^7+a^{10} z^6-21 a^8 z^6-9 a^6 z^6+27 a^4 z^6+18 a^2 z^6+4 z^6-9 a^9 z^5+9 a^7 z^5+37 a^5 z^5+15 a^3 z^5-3 a z^5+z^5 a^{-1} -a^{10} z^4+8 a^8 z^4+10 a^6 z^4-4 a^4 z^4-13 a^2 z^4-8 z^4+2 a^9 z^3-4 a^7 z^3-15 a^5 z^3-7 a^3 z^3-2 z^3 a^{-1} -5 a^6 z^2-4 a^4 z^2+4 a^2 z^2+3 z^2+a^9 z+a^7 z+a^5 z+a^3 z+a^6+a^4-a^2 }[/math] |
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