K13n3727
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Polynomial invariants
| Jones polynomial | Data:K13n3727/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^2-2 t+3-2 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | Data:K13n3727/Conway Polynomial |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+6 z^6 a^{-2} -z^6 a^{-4} -6 z^6+3 a^2 z^4+11 z^4 a^{-2} -3 z^4 a^{-4} -10 z^4+a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2-2 a^2-2 a^{-2} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+3 z^{11} a^{-1} +z^{11} a^{-3} +5 a^2 z^{10}+8 z^{10} a^{-2} +4 z^{10} a^{-4} +9 z^{10}+4 a^3 z^9-5 a z^9-13 z^9 a^{-1} +2 z^9 a^{-3} +6 z^9 a^{-5} +a^4 z^8-27 a^2 z^8-54 z^8 a^{-2} -17 z^8 a^{-4} +4 z^8 a^{-6} -61 z^8-20 a^3 z^7-24 a z^7-16 z^7 a^{-1} -39 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} -4 a^4 z^6+38 a^2 z^6+94 z^6 a^{-2} +11 z^6 a^{-4} -15 z^6 a^{-6} +110 z^6+25 a^3 z^5+56 a z^5+70 z^5 a^{-1} +67 z^5 a^{-3} +25 z^5 a^{-5} -3 z^5 a^{-7} +3 a^4 z^4-22 a^2 z^4-59 z^4 a^{-2} -3 z^4 a^{-4} +10 z^4 a^{-6} -71 z^4-9 a^3 z^3-29 a z^3-43 z^3 a^{-1} -34 z^3 a^{-3} -10 z^3 a^{-5} +z^3 a^{-7} +4 a^2 z^2+13 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +13 z^2-a^3 z+2 z a^{-1} +2 z a^{-3} +z a^{-5} +2 a^2+2 a^{-2} +5 }[/math] |
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