K13a1676
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Polynomial invariants
| Jones polynomial | Data:K13a1676/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-12 t^3+41 t^2-84 t+107-84 t^{-1} +41 t^{-2} -12 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1676/Conway Polynomial |
| Determinant | 385 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+4 a^2 z^6-2 z^6 a^{-2} +3 z^6-3 a^4 z^4+8 a^2 z^4-4 z^4 a^{-2} +z^4 a^{-4} +7 z^4-4 a^4 z^2+4 a^2 z^2-5 z^2 a^{-2} +9 z^2-a^4-a^2-3 a^{-2} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^2 z^{12}+4 z^{12}+11 a^3 z^{11}+25 a z^{11}+14 z^{11} a^{-1} +13 a^4 z^{10}+21 a^2 z^{10}+22 z^{10} a^{-2} +30 z^{10}+9 a^5 z^9-18 a^3 z^9-54 a z^9-5 z^9 a^{-1} +22 z^9 a^{-3} +4 a^6 z^8-37 a^4 z^8-89 a^2 z^8-32 z^8 a^{-2} +15 z^8 a^{-4} -95 z^8+a^7 z^7-26 a^5 z^7-7 a^3 z^7+32 a z^7-28 z^7 a^{-1} -34 z^7 a^{-3} +6 z^7 a^{-5} -11 a^6 z^6+42 a^4 z^6+121 a^2 z^6+5 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +96 z^6-3 a^7 z^5+26 a^5 z^5+35 a^3 z^5+10 a z^5+16 z^5 a^{-1} +6 z^5 a^{-3} -6 z^5 a^{-5} +7 a^6 z^4-29 a^4 z^4-65 a^2 z^4+5 z^4 a^{-2} +5 z^4 a^{-4} -29 z^4+2 a^7 z^3-16 a^5 z^3-27 a^3 z^3-5 a z^3+9 z^3 a^{-1} +5 z^3 a^{-3} -a^6 z^2+9 a^4 z^2+11 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} -7 z^2+4 a^5 z+5 a^3 z-2 a z-6 z a^{-1} -2 z a^{-3} +z a^{-5} -a^4+a^2+3 a^{-2} +6 }[/math] |
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