K14n17379
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Polynomial invariants
| Jones polynomial | Data:K14n17379/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-13 t^3+24 t^2-33 t+37-33 t^{-1} +24 t^{-2} -13 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K14n17379/Conway Polynomial |
| Determinant | Data:K14n17379/Determinant |
| Signature | Data:K14n17379/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +2 z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +12 z^6 a^{-2} -26 z^6 a^{-4} +7 z^6 a^{-6} -z^6+26 z^4 a^{-2} -42 z^4 a^{-4} +17 z^4 a^{-6} -z^4 a^{-8} -4 z^4+24 z^2 a^{-2} -31 z^2 a^{-4} +15 z^2 a^{-6} -2 z^2 a^{-8} -5 z^2+8 a^{-2} -7 a^{-4} +2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +5 z^{11} a^{-1} +13 z^{11} a^{-3} +8 z^{11} a^{-5} +7 z^{10} a^{-2} +16 z^{10} a^{-4} +13 z^{10} a^{-6} +4 z^{10}+a z^9-20 z^9 a^{-1} -47 z^9 a^{-3} -16 z^9 a^{-5} +10 z^9 a^{-7} -68 z^8 a^{-2} -99 z^8 a^{-4} -49 z^8 a^{-6} +3 z^8 a^{-8} -21 z^8-5 a z^7+15 z^7 a^{-1} +27 z^7 a^{-3} -27 z^7 a^{-5} -34 z^7 a^{-7} +129 z^6 a^{-2} +158 z^6 a^{-4} +64 z^6 a^{-6} -3 z^6 a^{-8} +38 z^6+9 a z^5+20 z^5 a^{-1} +38 z^5 a^{-3} +64 z^5 a^{-5} +40 z^5 a^{-7} +3 z^5 a^{-9} -98 z^4 a^{-2} -120 z^4 a^{-4} -51 z^4 a^{-6} -z^4 a^{-8} -28 z^4-7 a z^3-26 z^3 a^{-1} -41 z^3 a^{-3} -43 z^3 a^{-5} -19 z^3 a^{-7} +2 z^3 a^{-9} +39 z^2 a^{-2} +50 z^2 a^{-4} +21 z^2 a^{-6} +4 z^2 a^{-8} +3 z^2 a^{-10} +9 z^2+2 a z+7 z a^{-1} +12 z a^{-3} +8 z a^{-5} -z a^{-7} -2 z a^{-9} -8 a^{-2} -7 a^{-4} -2 a^{-6} -2 }[/math] |
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