K13n3670
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Polynomial invariants
| Jones polynomial | Data:K13n3670/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+26 t^2-39 t+45-39 t^{-1} +26 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3670/Conway Polynomial |
| Determinant | 201 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+3 z^6 a^{-2} -z^6 a^{-4} +4 z^6-4 a^2 z^4+z^4 a^{-2} -2 z^4 a^{-4} +5 z^4+a^4 z^2-4 a^2 z^2-z^2 a^{-2} +2 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +17 z^{10} a^{-2} +9 z^{10} a^{-4} +8 z^{10}+8 a z^9+13 z^9 a^{-1} +15 z^9 a^{-3} +10 z^9 a^{-5} +4 a^2 z^8-39 z^8 a^{-2} -16 z^8 a^{-4} +5 z^8 a^{-6} -14 z^8+a^3 z^7-17 a z^7-54 z^7 a^{-1} -65 z^7 a^{-3} -28 z^7 a^{-5} +z^7 a^{-7} -2 a^2 z^6+16 z^6 a^{-2} -10 z^6 a^{-4} -13 z^6 a^{-6} +11 z^6+5 a^3 z^5+29 a z^5+65 z^5 a^{-1} +63 z^5 a^{-3} +20 z^5 a^{-5} -2 z^5 a^{-7} +3 a^4 z^4+6 a^2 z^4+7 z^4 a^{-2} +18 z^4 a^{-4} +9 z^4 a^{-6} +z^4-7 a^3 z^3-21 a z^3-32 z^3 a^{-1} -24 z^3 a^{-3} -5 z^3 a^{-5} +z^3 a^{-7} -4 a^4 z^2-6 a^2 z^2-3 z^2 a^{-2} -5 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2+3 a^3 z+6 a z+6 z a^{-1} +4 z a^{-3} +z a^{-5} +a^4+a^2- a^{-2} }[/math] |
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