K13n3729
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Polynomial invariants
| Jones polynomial | Data:K13n3729/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-27 t+35-27 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3729/Conway Polynomial |
| Determinant | 117 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-a^6-z^6 a^4-2 z^4 a^4-z^2 a^4-z^6 a^2-z^4 a^2+2 z^2 a^2+3 a^2+2 z^4+2 z^2-1-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+10 a^4 z^{10}+5 a^2 z^{10}+4 a^7 z^9+a^5 z^9+3 a^3 z^9+6 a z^9+a^8 z^8-22 a^6 z^8-40 a^4 z^8-13 a^2 z^8+4 z^8-19 a^7 z^7-31 a^5 z^7-31 a^3 z^7-18 a z^7+z^7 a^{-1} -4 a^8 z^6+29 a^6 z^6+50 a^4 z^6+9 a^2 z^6-8 z^6+27 a^7 z^5+49 a^5 z^5+41 a^3 z^5+23 a z^5+4 z^5 a^{-1} +4 a^8 z^4-15 a^6 z^4-34 a^4 z^4-10 a^2 z^4+4 z^4 a^{-2} +9 z^4-10 a^7 z^3-22 a^5 z^3-23 a^3 z^3-16 a z^3-4 z^3 a^{-1} +z^3 a^{-3} +4 a^6 z^2+14 a^4 z^2+10 a^2 z^2-2 z^2 a^{-2} -2 z^2-2 a^7 z+4 a^3 z+3 a z+z a^{-1} +a^6-3 a^2-1 }[/math] |
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