K12a601
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+6 q^9-10 q^8+14 q^7-18 q^6+19 q^5-18 q^4+16 q^3-11 q^2+7 q-3+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -8 t^2+32 t-47+32 t^{-1} -8 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-8 z^4 }[/math] |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -3 z^4 a^{-4} -3 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} +z^2+2 a^{-2} -2 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +6 z^9 a^{-5} +7 z^9 a^{-7} +4 z^9 a^{-9} +3 z^9 a^{-11} +8 z^8 a^{-4} +5 z^8 a^{-6} -15 z^8 a^{-8} -11 z^8 a^{-10} +z^8 a^{-12} +8 z^7 a^{-3} -4 z^7 a^{-5} -24 z^7 a^{-7} -27 z^7 a^{-9} -15 z^7 a^{-11} +6 z^6 a^{-2} -9 z^6 a^{-4} -28 z^6 a^{-6} +8 z^6 a^{-10} -5 z^6 a^{-12} +3 z^5 a^{-1} -10 z^5 a^{-3} -10 z^5 a^{-5} +14 z^5 a^{-7} +35 z^5 a^{-9} +24 z^5 a^{-11} -7 z^4 a^{-2} -z^4 a^{-4} +24 z^4 a^{-6} +14 z^4 a^{-8} +5 z^4 a^{-10} +8 z^4 a^{-12} +z^4-2 z^3 a^{-1} +6 z^3 a^{-3} +7 z^3 a^{-5} -z^3 a^{-7} -13 z^3 a^{-9} -13 z^3 a^{-11} +6 z^2 a^{-2} +4 z^2 a^{-4} -11 z^2 a^{-6} -7 z^2 a^{-8} -3 z^2 a^{-10} -4 z^2 a^{-12} -z^2-2 z a^{-5} -2 z a^{-7} +2 z a^{-9} +2 z a^{-11} -2 a^{-2} +2 a^{-6} + a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
