K13n3456
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Polynomial invariants
| Jones polynomial | Data:K13n3456/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+46 t-57+46 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3456/Conway Polynomial |
| Determinant | 211 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-4 a^2 z^6+z^6-a^6 z^4+5 a^4 z^4-7 a^2 z^4+2 z^4-a^6 z^2+5 a^4 z^2-5 a^2 z^2+2 z^2-a^6+2 a^4-a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+13 a^4 z^{10}+9 a^2 z^{10}+2 a^7 z^9+10 a^5 z^9+23 a^3 z^9+15 a z^9-5 a^6 z^8-16 a^4 z^8+a^2 z^8+12 z^8-29 a^5 z^7-62 a^3 z^7-28 a z^7+5 z^7 a^{-1} +5 a^8 z^6+12 a^6 z^6-6 a^4 z^6-37 a^2 z^6+z^6 a^{-2} -23 z^6+a^9 z^5+8 a^7 z^5+42 a^5 z^5+55 a^3 z^5+13 a z^5-7 z^5 a^{-1} -6 a^8 z^4-6 a^6 z^4+20 a^4 z^4+34 a^2 z^4-z^4 a^{-2} +13 z^4-2 a^9 z^3-12 a^7 z^3-27 a^5 z^3-25 a^3 z^3-6 a z^3+2 z^3 a^{-1} +a^8 z^2-2 a^6 z^2-10 a^4 z^2-12 a^2 z^2-5 z^2+a^9 z+3 a^7 z+6 a^5 z+6 a^3 z+2 a z+a^6+2 a^4+a^2+1 }[/math] |
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