K13n1244
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Polynomial invariants
| Jones polynomial | Data:K13n1244/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-16 t^2+46 t-63+46 t^{-1} -16 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1244/Conway Polynomial |
| Determinant | 191 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +5 z^4 a^{-4} -5 z^4 a^{-6} -6 z^2 a^{-2} +8 z^2 a^{-4} -8 z^2 a^{-6} +4 z^2 a^{-8} +2 z^2-3 a^{-2} +4 a^{-4} -4 a^{-6} +3 a^{-8} - a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +13 z^{10} a^{-6} +6 z^{10} a^{-8} +9 z^9 a^{-3} +17 z^9 a^{-5} +15 z^9 a^{-7} +7 z^9 a^{-9} +5 z^8 a^{-2} -6 z^8 a^{-4} -20 z^8 a^{-6} -5 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -21 z^7 a^{-3} -57 z^7 a^{-5} -54 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} -7 z^6 a^{-2} -12 z^6 a^{-4} -16 z^6 a^{-6} -23 z^6 a^{-8} -12 z^6 a^{-10} +5 z^5 a^{-1} +32 z^5 a^{-3} +61 z^5 a^{-5} +48 z^5 a^{-7} +11 z^5 a^{-9} -3 z^5 a^{-11} +16 z^4 a^{-2} +30 z^4 a^{-4} +35 z^4 a^{-6} +30 z^4 a^{-8} +12 z^4 a^{-10} +3 z^4-6 z^3 a^{-1} -16 z^3 a^{-3} -26 z^3 a^{-5} -20 z^3 a^{-7} -z^3 a^{-9} +3 z^3 a^{-11} -13 z^2 a^{-2} -18 z^2 a^{-4} -20 z^2 a^{-6} -15 z^2 a^{-8} -5 z^2 a^{-10} -5 z^2+z a^{-1} +2 z a^{-3} +3 z a^{-5} +3 z a^{-7} -z a^{-11} +3 a^{-2} +4 a^{-4} +4 a^{-6} +3 a^{-8} + a^{-10} +2 }[/math] |
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