K13a756
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Polynomial invariants
| Jones polynomial | Data:K13a756/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+22 t^2-53 t+71-53 t^{-1} +22 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a756/Conway Polynomial |
| Determinant | 229 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+z^2 a^4-a^4-z^6 a^2+z^4 a^2+4 z^2 a^2+3 a^2-2 z^6-4 z^4-4 z^2-1-z^6 a^{-2} -2 z^4 a^{-2} -3 z^2 a^{-2} - a^{-2} +z^4 a^{-4} +2 z^2 a^{-4} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{12}+z^{12}+4 a^3 z^{11}+8 a z^{11}+4 z^{11} a^{-1} +7 a^4 z^{10}+13 a^2 z^{10}+6 z^{10} a^{-2} +12 z^{10}+7 a^5 z^9+a^3 z^9-14 a z^9-2 z^9 a^{-1} +6 z^9 a^{-3} +4 a^6 z^8-17 a^4 z^8-49 a^2 z^8-10 z^8 a^{-2} +5 z^8 a^{-4} -43 z^8+a^7 z^7-22 a^5 z^7-29 a^3 z^7+a z^7-6 z^7 a^{-1} -10 z^7 a^{-3} +3 z^7 a^{-5} -13 a^6 z^6+9 a^4 z^6+73 a^2 z^6+7 z^6 a^{-2} -11 z^6 a^{-4} +z^6 a^{-6} +70 z^6-3 a^7 z^5+20 a^5 z^5+41 a^3 z^5+21 a z^5+13 z^5 a^{-1} +2 z^5 a^{-3} -8 z^5 a^{-5} +11 a^6 z^4-4 a^4 z^4-58 a^2 z^4+z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -52 z^4+2 a^7 z^3-8 a^5 z^3-25 a^3 z^3-19 a z^3-5 z^3 a^{-1} +5 z^3 a^{-3} +6 z^3 a^{-5} -2 a^6 z^2+4 a^4 z^2+21 a^2 z^2-3 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +17 z^2+2 a^5 z+5 a^3 z+4 a z-3 z a^{-3} -2 z a^{-5} -a^4-3 a^2+ a^{-2} + a^{-4} -1 }[/math] |
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