K13n3840
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Polynomial invariants
| Jones polynomial | Data:K13n3840/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-6 t^3+2 t^2+9 t-15+9 t^{-1} +2 t^{-2} -6 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3840/Conway Polynomial |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -23 z^6 a^{-4} +8 z^6 a^{-6} +11 z^4 a^{-2} -32 z^4 a^{-4} +19 z^4 a^{-6} -2 z^4 a^{-8} +9 z^2 a^{-2} -21 z^2 a^{-4} +18 z^2 a^{-6} -4 z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +4 z^{10} a^{-6} +z^{10} a^{-8} +3 z^9 a^{-1} -8 z^9 a^{-3} -10 z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} -23 z^8 a^{-2} -49 z^8 a^{-4} -29 z^8 a^{-6} -z^8 a^{-8} +3 z^8 a^{-10} +z^8-16 z^7 a^{-1} -7 z^7 a^{-3} -2 z^7 a^{-5} -24 z^7 a^{-7} -12 z^7 a^{-9} +z^7 a^{-11} +36 z^6 a^{-2} +99 z^6 a^{-4} +60 z^6 a^{-6} -11 z^6 a^{-8} -13 z^6 a^{-10} -5 z^6+22 z^5 a^{-1} +35 z^5 a^{-3} +36 z^5 a^{-5} +36 z^5 a^{-7} +9 z^5 a^{-9} -4 z^5 a^{-11} -24 z^4 a^{-2} -82 z^4 a^{-4} -57 z^4 a^{-6} +9 z^4 a^{-8} +14 z^4 a^{-10} +6 z^4-11 z^3 a^{-1} -25 z^3 a^{-3} -32 z^3 a^{-5} -24 z^3 a^{-7} -2 z^3 a^{-9} +4 z^3 a^{-11} +11 z^2 a^{-2} +33 z^2 a^{-4} +26 z^2 a^{-6} +2 z^2 a^{-8} -4 z^2 a^{-10} -2 z^2+2 z a^{-1} +6 z a^{-3} +7 z a^{-5} +5 z a^{-7} +z a^{-9} -z a^{-11} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math] |
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