K13n3697
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Polynomial invariants
| Jones polynomial | Data:K13n3697/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+16 t^2-18 t+17-18 t^{-1} +16 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3697/Conway Polynomial |
| Determinant | 105 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +9 z^4 a^{-4} +8 z^4 a^{-6} -5 z^4 a^{-8} -4 z^2 a^{-2} +9 z^2 a^{-4} +6 z^2 a^{-6} -6 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +3 a^{-4} + a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +4 z^{10} a^{-4} +8 z^{10} a^{-6} +4 z^{10} a^{-8} +4 z^9 a^{-3} -3 z^9 a^{-5} -5 z^9 a^{-7} +2 z^9 a^{-9} +3 z^8 a^{-2} -13 z^8 a^{-4} -36 z^8 a^{-6} -20 z^8 a^{-8} +z^7 a^{-1} -13 z^7 a^{-3} -6 z^7 a^{-5} +2 z^7 a^{-7} -6 z^7 a^{-9} -12 z^6 a^{-2} +10 z^6 a^{-4} +67 z^6 a^{-6} +48 z^6 a^{-8} +3 z^6 a^{-10} -4 z^5 a^{-1} +7 z^5 a^{-3} +12 z^5 a^{-5} +14 z^5 a^{-7} +13 z^5 a^{-9} +13 z^4 a^{-2} -z^4 a^{-4} -59 z^4 a^{-6} -46 z^4 a^{-8} -z^4 a^{-10} +4 z^3 a^{-1} +3 z^3 a^{-3} -10 z^3 a^{-5} -19 z^3 a^{-7} -6 z^3 a^{-9} +4 z^3 a^{-11} -5 z^2 a^{-2} -5 z^2 a^{-4} +18 z^2 a^{-6} +18 z^2 a^{-8} -z a^{-1} -z a^{-3} +2 z a^{-5} +6 z a^{-7} +z a^{-9} -3 z a^{-11} + a^{-2} +3 a^{-4} - a^{-6} -2 a^{-8} }[/math] |
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