K13a2982
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Polynomial invariants
| Jones polynomial | Data:K13a2982/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+18 t^3-46 t^2+75 t-87+75 t^{-1} -46 t^{-2} +18 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2982/Conway Polynomial |
| Determinant | 371 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -2 z^8 a^{-8} +z^6 a^{-4} -2 z^6 a^{-6} -8 z^6 a^{-8} +3 z^6 a^{-10} +3 z^4 a^{-4} +2 z^4 a^{-6} -11 z^4 a^{-8} +9 z^4 a^{-10} -z^4 a^{-12} +3 z^2 a^{-4} +5 z^2 a^{-6} -7 z^2 a^{-8} +6 z^2 a^{-10} -2 z^2 a^{-12} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-8} +3 z^{12} a^{-10} +8 z^{11} a^{-7} +21 z^{11} a^{-9} +13 z^{11} a^{-11} +8 z^{10} a^{-6} +21 z^{10} a^{-8} +38 z^{10} a^{-10} +25 z^{10} a^{-12} +4 z^9 a^{-5} -12 z^9 a^{-7} -31 z^9 a^{-9} +14 z^9 a^{-11} +29 z^9 a^{-13} +z^8 a^{-4} -25 z^8 a^{-6} -89 z^8 a^{-8} -117 z^8 a^{-10} -31 z^8 a^{-12} +23 z^8 a^{-14} -14 z^7 a^{-5} -21 z^7 a^{-7} -44 z^7 a^{-9} -96 z^7 a^{-11} -46 z^7 a^{-13} +13 z^7 a^{-15} -4 z^6 a^{-4} +25 z^6 a^{-6} +100 z^6 a^{-8} +97 z^6 a^{-10} -9 z^6 a^{-12} -30 z^6 a^{-14} +5 z^6 a^{-16} +17 z^5 a^{-5} +45 z^5 a^{-7} +86 z^5 a^{-9} +95 z^5 a^{-11} +25 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} +6 z^4 a^{-4} -11 z^4 a^{-6} -47 z^4 a^{-8} -30 z^4 a^{-10} +16 z^4 a^{-12} +14 z^4 a^{-14} -2 z^4 a^{-16} -8 z^3 a^{-5} -27 z^3 a^{-7} -42 z^3 a^{-9} -33 z^3 a^{-11} -7 z^3 a^{-13} +3 z^3 a^{-15} -4 z^2 a^{-4} +5 z^2 a^{-6} +13 z^2 a^{-8} +4 z^2 a^{-10} -2 z^2 a^{-12} -2 z^2 a^{-14} +z a^{-5} +7 z a^{-7} +7 z a^{-9} +2 z a^{-11} +z a^{-13} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
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