K13a1058
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Polynomial invariants
| Jones polynomial | Data:K13a1058/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-25 t^2+61 t-79+61 t^{-1} -25 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1058/Conway Polynomial |
| Determinant | 259 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-2 z^2 a^6-a^6+z^6 a^4-z^4 a^4-2 z^2 a^4+2 z^6 a^2+2 z^4 a^2-z^2 a^2-a^2+z^6+z^4+2 z^2+2-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+6 a^5 z^{11}+12 a^3 z^{11}+6 a z^{11}+9 a^6 z^{10}+11 a^4 z^{10}+10 a^2 z^{10}+8 z^{10}+9 a^7 z^9-5 a^5 z^9-30 a^3 z^9-9 a z^9+7 z^9 a^{-1} +6 a^8 z^8-20 a^6 z^8-42 a^4 z^8-39 a^2 z^8+4 z^8 a^{-2} -19 z^8+3 a^9 z^7-24 a^7 z^7-14 a^5 z^7+33 a^3 z^7-a z^7-20 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-14 a^8 z^6+18 a^6 z^6+60 a^4 z^6+49 a^2 z^6-13 z^6 a^{-2} +9 z^6-7 a^9 z^5+31 a^7 z^5+38 a^5 z^5-17 a^3 z^5+a z^5+15 z^5 a^{-1} -3 z^5 a^{-3} -3 a^{10} z^4+11 a^8 z^4+a^6 z^4-33 a^4 z^4-29 a^2 z^4+12 z^4 a^{-2} +3 z^4+3 a^9 z^3-22 a^7 z^3-25 a^5 z^3+4 a^3 z^3-a z^3-3 z^3 a^{-1} +2 z^3 a^{-3} +2 a^{10} z^2-6 a^8 z^2-6 a^6 z^2+8 a^4 z^2+3 a^2 z^2-3 z^2 a^{-2} -6 z^2+5 a^7 z+6 a^5 z-a z+a^8+a^6+a^2+2 }[/math] |
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