K14a11157
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Polynomial invariants
| Jones polynomial | Data:K14a11157/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -8 t^3+42 t^2-98 t+129-98 t^{-1} +42 t^{-2} -8 t^{-3} }[/math] |
| Conway polynomial | Data:K14a11157/Conway Polynomial |
| Determinant | Data:K14a11157/Determinant |
| Signature | Data:K14a11157/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4+z^2 a^4+a^4-3 z^6 a^2-5 z^4 a^2-4 z^2 a^2-a^2-3 z^6-4 z^4-2 z^2-z^6 a^{-2} +z^4 a^{-2} +2 z^2 a^{-2} + a^{-2} +z^4 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{13}+3 a z^{13}+7 a^4 z^{12}+18 a^2 z^{12}+11 z^{12}+8 a^5 z^{11}+8 a^3 z^{11}+19 a z^{11}+19 z^{11} a^{-1} +7 a^6 z^{10}-15 a^4 z^{10}-58 a^2 z^{10}+22 z^{10} a^{-2} -14 z^{10}+4 a^7 z^9-21 a^5 z^9-50 a^3 z^9-89 a z^9-45 z^9 a^{-1} +19 z^9 a^{-3} +a^8 z^8-24 a^6 z^8+4 a^4 z^8+76 a^2 z^8-52 z^8 a^{-2} +12 z^8 a^{-4} -17 z^8-16 a^7 z^7+6 a^5 z^7+77 a^3 z^7+140 a z^7+40 z^7 a^{-1} -40 z^7 a^{-3} +5 z^7 a^{-5} -4 a^8 z^6+22 a^6 z^6-3 a^4 z^6-49 a^2 z^6+45 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +47 z^6+20 a^7 z^5+10 a^5 z^5-59 a^3 z^5-91 a z^5-10 z^5 a^{-1} +25 z^5 a^{-3} -7 z^5 a^{-5} +5 a^8 z^4-5 a^6 z^4+5 a^4 z^4+16 a^2 z^4-15 z^4 a^{-2} +6 z^4 a^{-4} -z^4 a^{-6} -21 z^4-9 a^7 z^3-5 a^5 z^3+16 a^3 z^3+24 a z^3+6 z^3 a^{-1} -6 z^3 a^{-3} -2 a^8 z^2-3 a^4 z^2-7 a^2 z^2+4 z^2 a^{-2} -z^2 a^{-4} +3 z^2+a^7 z+a^5 z-a^3 z-3 a z-2 z a^{-1} +a^4+a^2- a^{-2} }[/math] |
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