K13a1899
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Polynomial invariants
| Jones polynomial | Data:K13a1899/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+14 t^3-43 t^2+80 t-97+80 t^{-1} -43 t^{-2} +14 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1899/Conway Polynomial |
| Determinant | 375 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8-a^2 z^8+a^6 z^6-3 a^4 z^6-2 a^2 z^6+2 z^6+2 a^6 z^4-4 a^4 z^4-z^4 a^{-2} +4 z^4+a^6 z^2-3 a^4 z^2+4 a^2 z^2-z^2 a^{-2} +z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+9 a^5 z^{11}+17 a^3 z^{11}+8 a z^{11}+17 a^6 z^{10}+35 a^4 z^{10}+31 a^2 z^{10}+13 z^{10}+18 a^7 z^9+18 a^5 z^9-2 a^3 z^9+9 a z^9+11 z^9 a^{-1} +12 a^8 z^8-20 a^6 z^8-88 a^4 z^8-86 a^2 z^8+5 z^8 a^{-2} -25 z^8+5 a^9 z^7-32 a^7 z^7-79 a^5 z^7-80 a^3 z^7-67 a z^7-28 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-20 a^8 z^6-3 a^6 z^6+73 a^4 z^6+73 a^2 z^6-12 z^6 a^{-2} +6 z^6-7 a^9 z^5+21 a^7 z^5+87 a^5 z^5+113 a^3 z^5+78 a z^5+22 z^5 a^{-1} -2 z^5 a^{-3} -a^{10} z^4+10 a^8 z^4+10 a^6 z^4-23 a^4 z^4-24 a^2 z^4+8 z^4 a^{-2} +6 z^4+2 a^9 z^3-8 a^7 z^3-40 a^5 z^3-57 a^3 z^3-36 a z^3-8 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2-3 a^6 z^2+5 a^4 z^2+7 a^2 z^2-2 z^2 a^{-2} -z^2+a^7 z+7 a^5 z+11 a^3 z+7 a z+2 z a^{-1} -2 a^4-4 a^2-1 }[/math] |
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