K13n4276
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Polynomial invariants
| Jones polynomial | Data:K13n4276/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-8 t^3+10 t^2-8 t+7-8 t^{-1} +10 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n4276/Conway Polynomial |
| Determinant | 69 |
| Signature | 4 |
| 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} -24 z^6 a^{-4} +7 z^6 a^{-6} +12 z^4 a^{-2} -35 z^4 a^{-4} +16 z^4 a^{-6} -z^4 a^{-8} +11 z^2 a^{-2} -25 z^2 a^{-4} +15 z^2 a^{-6} -2 z^2 a^{-8} +5 a^{-2} -8 a^{-4} +5 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +8 z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^9 a^{-1} -5 z^9 a^{-3} -6 z^9 a^{-5} +2 z^9 a^{-7} -20 z^8 a^{-2} -44 z^8 a^{-4} -23 z^8 a^{-6} +z^8-15 z^7 a^{-1} -10 z^7 a^{-3} -5 z^7 a^{-5} -10 z^7 a^{-7} +30 z^6 a^{-2} +83 z^6 a^{-4} +49 z^6 a^{-6} +z^6 a^{-8} -5 z^6+21 z^5 a^{-1} +26 z^5 a^{-3} +24 z^5 a^{-5} +19 z^5 a^{-7} -22 z^4 a^{-2} -80 z^4 a^{-4} -53 z^4 a^{-6} -2 z^4 a^{-8} +7 z^4-9 z^3 a^{-1} -16 z^3 a^{-3} -26 z^3 a^{-5} -18 z^3 a^{-7} +z^3 a^{-9} +14 z^2 a^{-2} +40 z^2 a^{-4} +25 z^2 a^{-6} +3 z^2 a^{-8} +z^2 a^{-10} -3 z^2+z a^{-1} +5 z a^{-3} +9 z a^{-5} +6 z a^{-7} +z a^{-9} -5 a^{-2} -8 a^{-4} -5 a^{-6} - a^{-8} }[/math] |
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