K13a101
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Polynomial invariants
| Jones polynomial | Data:K13a101/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-24 t^2+58 t-75+58 t^{-1} -24 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a101/Conway Polynomial |
| Determinant | 247 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} +3 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} -2 z^4+a^2 z^2-3 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} -2 z^2+a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +3 z^{11} a^{-3} +7 z^{11} a^{-5} +4 z^{11} a^{-7} +5 z^{10} a^{-2} +9 z^{10} a^{-4} +11 z^{10} a^{-6} +7 z^{10} a^{-8} +6 z^9 a^{-1} +7 z^9 a^{-3} -5 z^9 a^{-5} +z^9 a^{-7} +7 z^9 a^{-9} +2 z^8 a^{-2} -8 z^8 a^{-4} -24 z^8 a^{-6} -15 z^8 a^{-8} +4 z^8 a^{-10} +5 z^8+3 a z^7-6 z^7 a^{-1} -14 z^7 a^{-3} +z^7 a^{-5} -16 z^7 a^{-7} -21 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6-17 z^6 a^{-2} -13 z^6 a^{-4} +14 z^6 a^{-6} +6 z^6 a^{-8} -13 z^6 a^{-10} -8 z^6-7 a z^5-2 z^5 a^{-1} +z^5 a^{-3} -16 z^5 a^{-5} +10 z^5 a^{-7} +19 z^5 a^{-9} -3 z^5 a^{-11} -3 a^2 z^4+20 z^4 a^{-2} +19 z^4 a^{-4} -6 z^4 a^{-6} +2 z^4 a^{-8} +12 z^4 a^{-10} +2 z^4+5 a z^3+4 z^3 a^{-1} +11 z^3 a^{-3} +17 z^3 a^{-5} -2 z^3 a^{-7} -5 z^3 a^{-9} +2 z^3 a^{-11} +3 a^2 z^2-9 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} -2 z^2 a^{-10} +z^2-a z-2 z a^{-1} -4 z a^{-3} -4 z a^{-5} -z a^{-7} -a^2+ a^{-2} + a^{-4} }[/math] |
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