K14a10398
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Polynomial invariants
| Jones polynomial | Data:K14a10398/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-9 t^4+36 t^3-87 t^2+143 t-167+143 t^{-1} -87 t^{-2} +36 t^{-3} -9 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14a10398/Conway Polynomial |
| Determinant | Data:K14a10398/Determinant |
| Signature | Data:K14a10398/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-3 a^4 z^8+5 a^2 z^8-z^8+3 a^6 z^6-12 a^4 z^6+11 a^2 z^6-3 z^6-a^8 z^4+9 a^6 z^4-18 a^4 z^4+12 a^2 z^4-3 z^4-2 a^8 z^2+9 a^6 z^2-12 a^4 z^2+6 a^2 z^2-z^2-a^8+3 a^6-3 a^4+a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 a^5 z^{13}+5 a^3 z^{13}+17 a^6 z^{12}+37 a^4 z^{12}+20 a^2 z^{12}+25 a^7 z^{11}+54 a^5 z^{11}+62 a^3 z^{11}+33 a z^{11}+22 a^8 z^{10}+6 a^6 z^{10}-38 a^4 z^{10}+8 a^2 z^{10}+30 z^{10}+13 a^9 z^9-43 a^7 z^9-170 a^5 z^9-195 a^3 z^9-64 a z^9+17 z^9 a^{-1} +5 a^{10} z^8-46 a^8 z^8-92 a^6 z^8-93 a^4 z^8-124 a^2 z^8+6 z^8 a^{-2} -66 z^8+a^{11} z^7-27 a^9 z^7+23 a^7 z^7+198 a^5 z^7+212 a^3 z^7+32 a z^7-32 z^7 a^{-1} +z^7 a^{-3} -10 a^{10} z^6+39 a^8 z^6+138 a^6 z^6+202 a^4 z^6+171 a^2 z^6-9 z^6 a^{-2} +49 z^6-2 a^{11} z^5+20 a^9 z^5-6 a^7 z^5-113 a^5 z^5-102 a^3 z^5-a z^5+15 z^5 a^{-1} -z^5 a^{-3} +6 a^{10} z^4-22 a^8 z^4-98 a^6 z^4-141 a^4 z^4-93 a^2 z^4+2 z^4 a^{-2} -20 z^4+a^{11} z^3-7 a^9 z^3+31 a^5 z^3+26 a^3 z^3-3 z^3 a^{-1} -a^{10} z^2+8 a^8 z^2+31 a^6 z^2+39 a^4 z^2+21 a^2 z^2+4 z^2+a^9 z-4 a^5 z-4 a^3 z-a z-a^8-3 a^6-3 a^4-a^2+1 }[/math] |
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