K13n3560
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Polynomial invariants
| Jones polynomial | Data:K13n3560/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-31 t+37-31 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3560/Conway Polynomial |
| Determinant | 149 |
| 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} -7 z^4 a^{-2} +11 z^4 a^{-4} -3 z^4 a^{-6} +z^4-8 z^2 a^{-2} +13 z^2 a^{-4} -4 z^2 a^{-6} +2 z^2-3 a^{-2} +6 a^{-4} -3 a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +12 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^9 a^{-1} +8 z^9 a^{-3} +13 z^9 a^{-5} +9 z^9 a^{-7} -15 z^8 a^{-2} -32 z^8 a^{-4} -11 z^8 a^{-6} +5 z^8 a^{-8} +z^8-17 z^7 a^{-1} -54 z^7 a^{-3} -61 z^7 a^{-5} -23 z^7 a^{-7} +z^7 a^{-9} +2 z^6 a^{-2} -2 z^6 a^{-4} -14 z^6 a^{-6} -6 z^6 a^{-8} -4 z^6+24 z^5 a^{-1} +69 z^5 a^{-3} +60 z^5 a^{-5} +21 z^5 a^{-7} +6 z^5 a^{-9} +22 z^4 a^{-2} +40 z^4 a^{-4} +24 z^4 a^{-6} +4 z^4 a^{-8} +4 z^4 a^{-10} +6 z^4-12 z^3 a^{-1} -26 z^3 a^{-3} -18 z^3 a^{-5} -10 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} -16 z^2 a^{-2} -25 z^2 a^{-4} -13 z^2 a^{-6} -z^2 a^{-8} -z^2 a^{-10} -4 z^2+z a^{-1} +2 z a^{-3} +z a^{-7} +2 z a^{-9} +3 a^{-2} +6 a^{-4} +3 a^{-6} +1 }[/math] |
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