K13a1100
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a1100/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+19 t^3-39 t^2+59 t-67+59 t^{-1} -39 t^{-2} +19 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1100/Conway Polynomial |
| Determinant | 315 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -2 z^8 a^{-4} -z^8+21 z^6 a^{-2} -11 z^6 a^{-4} +z^6 a^{-6} -5 z^6+34 z^4 a^{-2} -23 z^4 a^{-4} +4 z^4 a^{-6} -10 z^4+30 z^2 a^{-2} -22 z^2 a^{-4} +5 z^2 a^{-6} -10 z^2+12 a^{-2} -9 a^{-4} +2 a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +7 z^{11} a^{-1} +15 z^{11} a^{-3} +8 z^{11} a^{-5} +22 z^{10} a^{-2} +25 z^{10} a^{-4} +13 z^{10} a^{-6} +10 z^{10}+8 a z^9-z^9 a^{-1} -19 z^9 a^{-3} +2 z^9 a^{-5} +12 z^9 a^{-7} +4 a^2 z^8-79 z^8 a^{-2} -86 z^8 a^{-4} -25 z^8 a^{-6} +8 z^8 a^{-8} -22 z^8+a^3 z^7-20 a z^7-34 z^7 a^{-1} -32 z^7 a^{-3} -46 z^7 a^{-5} -23 z^7 a^{-7} +4 z^7 a^{-9} -11 a^2 z^6+109 z^6 a^{-2} +117 z^6 a^{-4} +20 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} +16 z^6-3 a^3 z^5+14 a z^5+49 z^5 a^{-1} +88 z^5 a^{-3} +80 z^5 a^{-5} +16 z^5 a^{-7} -8 z^5 a^{-9} +9 a^2 z^4-88 z^4 a^{-2} -76 z^4 a^{-4} -7 z^4 a^{-6} +5 z^4 a^{-8} -2 z^4 a^{-10} -17 z^4+3 a^3 z^3-5 a z^3-38 z^3 a^{-1} -69 z^3 a^{-3} -50 z^3 a^{-5} -7 z^3 a^{-7} +4 z^3 a^{-9} -2 a^2 z^2+42 z^2 a^{-2} +33 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} +13 z^2-a^3 z+2 a z+12 z a^{-1} +20 z a^{-3} +13 z a^{-5} +z a^{-7} -z a^{-9} -12 a^{-2} -9 a^{-4} -2 a^{-6} -4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
