K13n3586
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Polynomial invariants
| Jones polynomial | Data:K13n3586/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-26 t^2+50 t-61+50 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3586/Conway Polynomial |
| Determinant | 231 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-4 a^4 z^6+3 a^2 z^6+2 a^6 z^4-7 a^4 z^4+9 a^2 z^4-2 z^4+a^6 z^2-4 a^4 z^2+8 a^2 z^2-3 z^2-a^6+a^4+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+8 a^6 z^{10}+13 a^4 z^{10}+5 a^2 z^{10}+13 a^7 z^9+23 a^5 z^9+14 a^3 z^9+4 a z^9+11 a^8 z^8+8 a^6 z^8-3 a^4 z^8+a^2 z^8+z^8+5 a^9 z^7-17 a^7 z^7-43 a^5 z^7-18 a^3 z^7+3 a z^7+a^{10} z^6-20 a^8 z^6-42 a^6 z^6-28 a^4 z^6+a^2 z^6+8 z^6-8 a^9 z^5-3 a^7 z^5+8 a^5 z^5-8 a^3 z^5-8 a z^5+3 z^5 a^{-1} -a^{10} z^4+12 a^8 z^4+31 a^6 z^4+19 a^4 z^4-12 a^2 z^4-13 z^4+4 a^9 z^3+9 a^7 z^3+12 a^5 z^3+15 a^3 z^3+5 a z^3-3 z^3 a^{-1} -2 a^8 z^2-9 a^6 z^2-4 a^4 z^2+8 a^2 z^2+5 z^2-3 a^7 z-5 a^5 z-3 a^3 z-a z+a^6+a^4-a^2 }[/math] |
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