K13n4271
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Polynomial invariants
| Jones polynomial | Data:K13n4271/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-14 t^2+27 t-33+27 t^{-1} -14 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4271/Conway Polynomial |
| Determinant | 127 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +2 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} +z^2 a^{-2} -5 z^2 a^{-4} +3 z^2 a^{-6} +z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} -z^9 a^{-3} +6 z^9 a^{-5} +7 z^9 a^{-7} -3 z^8 a^{-2} -12 z^8 a^{-4} -2 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} +2 z^7 a^{-3} -15 z^7 a^{-5} -12 z^7 a^{-7} +4 z^7 a^{-9} +11 z^6 a^{-2} +19 z^6 a^{-4} -8 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +4 z^5 a^{-1} +8 z^5 a^{-3} +12 z^5 a^{-5} -z^5 a^{-7} -9 z^5 a^{-9} -6 z^4 a^{-2} -12 z^4 a^{-4} +4 z^4 a^{-6} +6 z^4 a^{-8} -2 z^4 a^{-10} +2 z^4-6 z^3 a^{-1} -8 z^3 a^{-3} -3 z^3 a^{-5} +4 z^3 a^{-7} +5 z^3 a^{-9} -z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-8} +z^2 a^{-10} -3 z^2+z a^{-1} +2 z a^{-3} -2 z a^{-7} -z a^{-9} +1 }[/math] |
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