K13n3394
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Polynomial invariants
| Jones polynomial | Data:K13n3394/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-8 t^3+9 t^2-4 t+1-4 t^{-1} +9 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3394/Conway Polynomial |
| Determinant | 53 |
| 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} +15 z^4 a^{-6} -z^4 a^{-8} +11 z^2 a^{-2} -23 z^2 a^{-4} +12 z^2 a^{-6} -z^2 a^{-8} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/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} -45 z^8 a^{-4} -24 z^8 a^{-6} +z^8-15 z^7 a^{-1} -12 z^7 a^{-3} -11 z^7 a^{-5} -13 z^7 a^{-7} +z^7 a^{-9} +29 z^6 a^{-2} +79 z^6 a^{-4} +42 z^6 a^{-6} -2 z^6 a^{-8} +z^6 a^{-10} -5 z^6+21 z^5 a^{-1} +29 z^5 a^{-3} +34 z^5 a^{-5} +19 z^5 a^{-7} -7 z^5 a^{-9} -21 z^4 a^{-2} -66 z^4 a^{-4} -33 z^4 a^{-6} -5 z^4 a^{-10} +7 z^4-10 z^3 a^{-1} -17 z^3 a^{-3} -23 z^3 a^{-5} -8 z^3 a^{-7} +8 z^3 a^{-9} +12 z^2 a^{-2} +30 z^2 a^{-4} +13 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2 a^{-10} -3 z^2+z a^{-1} +4 z a^{-3} +4 z a^{-5} -z a^{-7} -2 z a^{-9} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
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