K13a2670
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Polynomial invariants
| Jones polynomial | Data:K13a2670/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+20 t^3-44 t^2+69 t-79+69 t^{-1} -44 t^{-2} +20 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a2670/Conway Polynomial |
| Determinant | 359 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-a^4 z^8+7 a^2 z^8-2 z^8-5 a^4 z^6+20 a^2 z^6+z^6 a^{-2} -9 z^6-9 a^4 z^4+26 a^2 z^4+2 z^4 a^{-2} -13 z^4-6 a^4 z^2+13 a^2 z^2-5 z^2-a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^2 z^{12}+4 z^{12}+14 a^3 z^{11}+26 a z^{11}+12 z^{11} a^{-1} +21 a^4 z^{10}+33 a^2 z^{10}+13 z^{10} a^{-2} +25 z^{10}+20 a^5 z^9-9 a^3 z^9-59 a z^9-24 z^9 a^{-1} +6 z^9 a^{-3} +15 a^6 z^8-40 a^4 z^8-134 a^2 z^8-43 z^8 a^{-2} +z^8 a^{-4} -123 z^8+9 a^7 z^7-33 a^5 z^7-45 a^3 z^7-4 a z^7-19 z^7 a^{-1} -18 z^7 a^{-3} +4 a^8 z^6-20 a^6 z^6+30 a^4 z^6+159 a^2 z^6+41 z^6 a^{-2} -2 z^6 a^{-4} +148 z^6+a^9 z^5-10 a^7 z^5+21 a^5 z^5+62 a^3 z^5+64 a z^5+49 z^5 a^{-1} +15 z^5 a^{-3} -4 a^8 z^4+11 a^6 z^4-17 a^4 z^4-87 a^2 z^4-11 z^4 a^{-2} +z^4 a^{-4} -67 z^4-a^9 z^3+5 a^7 z^3-4 a^5 z^3-28 a^3 z^3-34 a z^3-18 z^3 a^{-1} -2 z^3 a^{-3} +a^8 z^2-a^6 z^2+8 a^4 z^2+21 a^2 z^2-z^2 a^{-2} +10 z^2-a^7 z+3 a^3 z+3 a z-z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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