K13a1121
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a1121/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-25 t^3+58 t^2-93 t+109-93 t^{-1} +58 t^{-2} -25 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a1121/Conway Polynomial |
| Determinant | 477 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+2 z^8 a^{-2} -6 z^8+4 a^2 z^6+8 z^6 a^{-2} -z^6 a^{-4} -15 z^6+6 a^2 z^4+11 z^4 a^{-2} -2 z^4 a^{-4} -17 z^4+3 a^2 z^2+6 z^2 a^{-2} -z^2 a^{-4} -7 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-2} +5 z^{12}+17 a z^{11}+34 z^{11} a^{-1} +17 z^{11} a^{-3} +25 a^2 z^{10}+45 z^{10} a^{-2} +23 z^{10} a^{-4} +47 z^{10}+22 a^3 z^9+4 a z^9-42 z^9 a^{-1} -8 z^9 a^{-3} +16 z^9 a^{-5} +13 a^4 z^8-36 a^2 z^8-138 z^8 a^{-2} -50 z^8 a^{-4} +6 z^8 a^{-6} -131 z^8+5 a^5 z^7-36 a^3 z^7-63 a z^7-40 z^7 a^{-1} -54 z^7 a^{-3} -35 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-19 a^4 z^6+17 a^2 z^6+124 z^6 a^{-2} +32 z^6 a^{-4} -10 z^6 a^{-6} +119 z^6-6 a^5 z^5+26 a^3 z^5+68 a z^5+72 z^5 a^{-1} +59 z^5 a^{-3} +22 z^5 a^{-5} -z^5 a^{-7} -a^6 z^4+11 a^4 z^4-3 a^2 z^4-46 z^4 a^{-2} -8 z^4 a^{-4} +3 z^4 a^{-6} -50 z^4+2 a^5 z^3-9 a^3 z^3-28 a z^3-30 z^3 a^{-1} -17 z^3 a^{-3} -4 z^3 a^{-5} -2 a^4 z^2+a^2 z^2+8 z^2 a^{-2} +2 z^2 a^{-4} +9 z^2+a^3 z+3 a z+3 z a^{-1} +2 z a^{-3} +z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
