K13n1770
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Polynomial invariants
| Jones polynomial | Data:K13n1770/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+20 t^2-27 t+29-27 t^{-1} +20 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1770/Conway Polynomial |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +4 z^4 a^{-4} +10 z^4 a^{-6} -5 z^4 a^{-8} -z^2 a^{-2} +12 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} + a^{-2} -2 a^{-4} +6 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^{10} a^{-8} +6 z^9 a^{-3} +5 z^9 a^{-5} +5 z^9 a^{-7} +6 z^9 a^{-9} +4 z^8 a^{-2} -11 z^8 a^{-4} -39 z^8 a^{-6} -22 z^8 a^{-8} +2 z^8 a^{-10} +z^7 a^{-1} -19 z^7 a^{-3} -32 z^7 a^{-5} -34 z^7 a^{-7} -22 z^7 a^{-9} -14 z^6 a^{-2} +z^6 a^{-4} +62 z^6 a^{-6} +47 z^6 a^{-8} -3 z^5 a^{-1} +15 z^5 a^{-3} +43 z^5 a^{-5} +68 z^5 a^{-7} +48 z^5 a^{-9} +5 z^5 a^{-11} +13 z^4 a^{-2} -z^4 a^{-4} -60 z^4 a^{-6} -46 z^4 a^{-8} +z^4 a^{-10} +z^4 a^{-12} +2 z^3 a^{-1} -4 z^3 a^{-3} -30 z^3 a^{-5} -58 z^3 a^{-7} -40 z^3 a^{-9} -6 z^3 a^{-11} -2 z^2 a^{-2} +6 z^2 a^{-4} +29 z^2 a^{-6} +23 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +16 z a^{-7} +12 z a^{-9} +2 z a^{-11} - a^{-2} -2 a^{-4} -6 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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