K13n2738
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Polynomial invariants
| Jones polynomial | Data:K13n2738/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+11 t^2-9 t+7-9 t^{-1} +11 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2738/Conway Polynomial |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} +z^4-7 z^2 a^{-2} +4 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +3 z^2- a^{-2} - a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} +z^9 a^{-7} -10 z^8 a^{-2} -19 z^8 a^{-4} -8 z^8 a^{-6} +z^8-14 z^7 a^{-1} -29 z^7 a^{-3} -23 z^7 a^{-5} -7 z^7 a^{-7} +z^7 a^{-9} -z^6 a^{-2} +9 z^6 a^{-4} +z^6 a^{-6} -3 z^6 a^{-8} +z^6 a^{-10} -5 z^6+19 z^5 a^{-1} +39 z^5 a^{-3} +39 z^5 a^{-5} +12 z^5 a^{-7} -7 z^5 a^{-9} +18 z^4 a^{-2} +11 z^4 a^{-4} +13 z^4 a^{-6} +6 z^4 a^{-8} -5 z^4 a^{-10} +9 z^4-8 z^3 a^{-1} -15 z^3 a^{-3} -25 z^3 a^{-5} -10 z^3 a^{-7} +8 z^3 a^{-9} -10 z^2 a^{-2} -5 z^2 a^{-4} -10 z^2 a^{-6} -4 z^2 a^{-8} +4 z^2 a^{-10} -7 z^2+2 z a^{-3} +6 z a^{-5} +3 z a^{-7} -z a^{-9} + a^{-2} + a^{-6} + a^{-8} +2 }[/math] |
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