K13n1265
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Polynomial invariants
| Jones polynomial | Data:K13n1265/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+46 t-57+46 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1265/Conway Polynomial |
| Determinant | 211 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+a^4 z^6-4 a^2 z^6+2 z^6+a^4 z^4-7 a^2 z^4-z^4 a^{-2} +6 z^4+a^6 z^2-5 a^2 z^2-2 z^2 a^{-2} +7 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+8 a^4 z^{10}+14 a^2 z^{10}+6 z^{10}+11 a^5 z^9+22 a^3 z^9+18 a z^9+7 z^9 a^{-1} +6 a^6 z^8-3 a^4 z^8-15 a^2 z^8+4 z^8 a^{-2} -2 z^8+a^7 z^7-21 a^5 z^7-62 a^3 z^7-58 a z^7-17 z^7 a^{-1} +z^7 a^{-3} -2 a^6 z^6-12 a^4 z^6-28 a^2 z^6-12 z^6 a^{-2} -30 z^6+9 a^7 z^5+33 a^5 z^5+58 a^3 z^5+47 a z^5+10 z^5 a^{-1} -3 z^5 a^{-3} +3 a^8 z^4+4 a^6 z^4+12 a^4 z^4+36 a^2 z^4+13 z^4 a^{-2} +38 z^4-9 a^7 z^3-25 a^5 z^3-31 a^3 z^3-17 a z^3+z^3 a^{-1} +3 z^3 a^{-3} -2 a^8 z^2-2 a^6 z^2-3 a^4 z^2-14 a^2 z^2-6 z^2 a^{-2} -17 z^2+2 a^7 z+7 a^5 z+8 a^3 z+3 a z-z a^{-1} -z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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