K13n2544
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Polynomial invariants
| Jones polynomial | Data:K13n2544/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-44 t+57-44 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2544/Conway Polynomial |
| Determinant | 189 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -4 z^4 a^{-6} +4 z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} -3 z^2 a^{-6} +6 z^2 a^{-8} -2 z^2 a^{-10} +2 a^{-4} - a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +7 z^{10} a^{-6} +12 z^{10} a^{-8} +5 z^{10} a^{-10} +10 z^9 a^{-5} +15 z^9 a^{-7} +9 z^9 a^{-9} +4 z^9 a^{-11} +8 z^8 a^{-4} -5 z^8 a^{-6} -22 z^8 a^{-8} -8 z^8 a^{-10} +z^8 a^{-12} +4 z^7 a^{-3} -21 z^7 a^{-5} -50 z^7 a^{-7} -29 z^7 a^{-9} -4 z^7 a^{-11} +z^6 a^{-2} -17 z^6 a^{-4} -17 z^6 a^{-6} +8 z^6 a^{-8} +13 z^6 a^{-10} +6 z^6 a^{-12} -8 z^5 a^{-3} +15 z^5 a^{-5} +58 z^5 a^{-7} +37 z^5 a^{-9} +5 z^5 a^{-11} +3 z^5 a^{-13} -2 z^4 a^{-2} +11 z^4 a^{-4} +27 z^4 a^{-6} +15 z^4 a^{-8} -12 z^4 a^{-10} -13 z^4 a^{-12} +3 z^3 a^{-3} -8 z^3 a^{-5} -27 z^3 a^{-7} -21 z^3 a^{-9} -10 z^3 a^{-11} -5 z^3 a^{-13} +z^2 a^{-2} -7 z^2 a^{-4} -13 z^2 a^{-6} -9 z^2 a^{-8} +4 z^2 a^{-12} +z a^{-5} +6 z a^{-7} +6 z a^{-9} +3 z a^{-11} +2 z a^{-13} +2 a^{-4} + a^{-6} + a^{-8} + a^{-10} }[/math] |
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