K13n4057
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Polynomial invariants
| Jones polynomial | Data:K13n4057/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+19 t^2-37 t+47-37 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4057/Conway Polynomial |
| Determinant | 173 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+11 z^4 a^{-2} -3 z^4 a^{-4} -6 z^4+a^2 z^2+11 z^2 a^{-2} -4 z^2 a^{-4} -7 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +15 z^{10} a^{-2} +8 z^{10} a^{-4} +7 z^{10}+6 a z^9+5 z^9 a^{-1} +7 z^9 a^{-3} +8 z^9 a^{-5} +2 a^2 z^8-46 z^8 a^{-2} -22 z^8 a^{-4} +4 z^8 a^{-6} -18 z^8-14 a z^7-33 z^7 a^{-1} -46 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} +2 a^2 z^6+53 z^6 a^{-2} +16 z^6 a^{-4} -12 z^6 a^{-6} +27 z^6+5 a^3 z^5+26 a z^5+51 z^5 a^{-1} +59 z^5 a^{-3} +26 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4+a^2 z^4-38 z^4 a^{-2} -10 z^4 a^{-4} +9 z^4 a^{-6} -19 z^4-4 a^3 z^3-18 a z^3-34 z^3 a^{-1} -36 z^3 a^{-3} -14 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2-a^2 z^2+19 z^2 a^{-2} +7 z^2 a^{-4} -2 z^2 a^{-6} +10 z^2+a^3 z+4 a z+8 z a^{-1} +9 z a^{-3} +4 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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