K13a1101
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Polynomial invariants
| Jones polynomial | Data:K13a1101/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+18 t^3-32 t^2+42 t-45+42 t^{-1} -32 t^{-2} +18 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1101/Conway Polynomial |
| Determinant | 243 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +7 z^8 a^{-6} -2 z^8 a^{-8} -5 z^6 a^{-4} +20 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} -8 z^4 a^{-4} +31 z^4 a^{-6} -21 z^4 a^{-8} +4 z^4 a^{-10} -5 z^2 a^{-4} +25 z^2 a^{-6} -19 z^2 a^{-8} +4 z^2 a^{-10} - a^{-4} +8 a^{-6} -8 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +5 z^{11} a^{-5} +14 z^{11} a^{-7} +9 z^{11} a^{-9} +4 z^{10} a^{-4} +9 z^{10} a^{-6} +23 z^{10} a^{-8} +18 z^{10} a^{-10} +z^9 a^{-3} -19 z^9 a^{-5} -44 z^9 a^{-7} -2 z^9 a^{-9} +22 z^9 a^{-11} -21 z^8 a^{-4} -76 z^8 a^{-6} -116 z^8 a^{-8} -41 z^8 a^{-10} +20 z^8 a^{-12} -5 z^7 a^{-3} +11 z^7 a^{-5} +4 z^7 a^{-7} -76 z^7 a^{-9} -49 z^7 a^{-11} +15 z^7 a^{-13} +39 z^6 a^{-4} +142 z^6 a^{-6} +158 z^6 a^{-8} +12 z^6 a^{-10} -34 z^6 a^{-12} +9 z^6 a^{-14} +9 z^5 a^{-3} +27 z^5 a^{-5} +81 z^5 a^{-7} +112 z^5 a^{-9} +27 z^5 a^{-11} -18 z^5 a^{-13} +4 z^5 a^{-15} -31 z^4 a^{-4} -105 z^4 a^{-6} -90 z^4 a^{-8} +4 z^4 a^{-10} +13 z^4 a^{-12} -6 z^4 a^{-14} +z^4 a^{-16} -7 z^3 a^{-3} -32 z^3 a^{-5} -69 z^3 a^{-7} -58 z^3 a^{-9} -7 z^3 a^{-11} +6 z^3 a^{-13} -z^3 a^{-15} +10 z^2 a^{-4} +38 z^2 a^{-6} +33 z^2 a^{-8} +2 z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} +2 z a^{-3} +8 z a^{-5} +18 z a^{-7} +14 z a^{-9} +z a^{-11} -z a^{-13} - a^{-4} -8 a^{-6} -8 a^{-8} -2 a^{-10} }[/math] |
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