K14a11969
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Polynomial invariants
| Jones polynomial | Data:K14a11969/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+17 t^3-60 t^2+117 t-143+117 t^{-1} -60 t^{-2} +17 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K14a11969/Conway Polynomial |
| Determinant | Data:K14a11969/Determinant |
| Signature | Data:K14a11969/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-5 z^2 a^6-2 a^6+3 z^6 a^4+6 z^4 a^4+4 z^2 a^4+a^4-z^8 a^2-z^6 a^2+a^2-z^8-2 z^6-2 z^4-2 z^2-1+z^6 a^{-2} +z^4 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^3 z^{13}+4 a z^{13}+11 a^4 z^{12}+26 a^2 z^{12}+15 z^{12}+15 a^5 z^{11}+25 a^3 z^{11}+32 a z^{11}+22 z^{11} a^{-1} +16 a^6 z^{10}-a^4 z^{10}-57 a^2 z^{10}+16 z^{10} a^{-2} -24 z^{10}+14 a^7 z^9-10 a^5 z^9-85 a^3 z^9-139 a z^9-72 z^9 a^{-1} +6 z^9 a^{-3} +9 a^8 z^8-16 a^6 z^8-25 a^4 z^8+15 a^2 z^8-52 z^8 a^{-2} +z^8 a^{-4} -38 z^8+4 a^9 z^7-21 a^7 z^7-19 a^5 z^7+89 a^3 z^7+167 a z^7+68 z^7 a^{-1} -16 z^7 a^{-3} +a^{10} z^6-15 a^8 z^6-9 a^6 z^6+12 a^4 z^6+31 a^2 z^6+46 z^6 a^{-2} -2 z^6 a^{-4} +74 z^6-7 a^9 z^5+13 a^7 z^5+24 a^5 z^5-45 a^3 z^5-80 a z^5-23 z^5 a^{-1} +8 z^5 a^{-3} -2 a^{10} z^4+11 a^8 z^4+24 a^6 z^4+9 a^4 z^4-20 a^2 z^4-12 z^4 a^{-2} -30 z^4+4 a^9 z^3-3 a^7 z^3-8 a^5 z^3+11 a^3 z^3+17 a z^3+5 z^3 a^{-1} +a^{10} z^2-5 a^8 z^2-13 a^6 z^2-7 a^4 z^2+4 a^2 z^2+z^2 a^{-2} +5 z^2-a^9 z+a^5 z-a^3 z-2 a z-z a^{-1} +a^8+2 a^6+a^4-a^2- a^{-2} -1 }[/math] |
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