K13n4077
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Polynomial invariants
| Jones polynomial | Data:K13n4077/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-24 t+29-24 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4077/Conway Polynomial |
| Determinant | 117 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -2 z^6 a^{-4} -z^6+14 z^4 a^{-2} -7 z^4 a^{-4} +z^4 a^{-6} -4 z^4+13 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -5 z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-3} +4 z^{11} a^{-5} +8 z^{10} a^{-2} +16 z^{10} a^{-4} +8 z^{10} a^{-6} +5 z^9 a^{-1} -8 z^9 a^{-3} -8 z^9 a^{-5} +5 z^9 a^{-7} -37 z^8 a^{-2} -76 z^8 a^{-4} -37 z^8 a^{-6} +z^8 a^{-8} +z^8-17 z^7 a^{-1} -20 z^7 a^{-3} -24 z^7 a^{-5} -21 z^7 a^{-7} +63 z^6 a^{-2} +108 z^6 a^{-4} +47 z^6 a^{-6} -3 z^6 a^{-8} +5 z^6+6 a z^5+23 z^5 a^{-1} +44 z^5 a^{-3} +48 z^5 a^{-5} +21 z^5 a^{-7} +3 a^2 z^4-57 z^4 a^{-2} -58 z^4 a^{-4} -17 z^4 a^{-6} +z^4 a^{-8} -14 z^4+a^3 z^3-7 a z^3-20 z^3 a^{-1} -24 z^3 a^{-3} -14 z^3 a^{-5} -2 z^3 a^{-7} -a^2 z^2+22 z^2 a^{-2} +12 z^2 a^{-4} -z^2 a^{-6} +8 z^2+2 a z+5 z a^{-1} +4 z a^{-3} -2 z a^{-5} -3 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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