K13n1114
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Polynomial invariants
| Jones polynomial | Data:K13n1114/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+18 t-25+18 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1114/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} -2 z^4+a^2 z^2+2 z^2 a^{-2} +3 z^2 a^{-6} -z^2 a^{-8} -2 z^2+ a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-2} +2 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10} a^{-8} +4 z^9 a^{-1} +5 z^9 a^{-3} -6 z^9 a^{-5} -6 z^9 a^{-7} +z^9 a^{-9} +7 z^8 a^{-2} -10 z^8 a^{-4} -26 z^8 a^{-6} -15 z^8 a^{-8} +6 z^8+4 a z^7-3 z^7 a^{-1} -12 z^7 a^{-3} +4 z^7 a^{-5} +2 z^7 a^{-7} -7 z^7 a^{-9} +a^2 z^6-21 z^6 a^{-2} +23 z^6 a^{-4} +63 z^6 a^{-6} +34 z^6 a^{-8} -14 z^6-10 a z^5-11 z^5 a^{-1} +14 z^5 a^{-3} +23 z^5 a^{-5} +23 z^5 a^{-7} +15 z^5 a^{-9} -2 a^2 z^4+12 z^4 a^{-2} -15 z^4 a^{-4} -49 z^4 a^{-6} -30 z^4 a^{-8} +6 z^4+6 a z^3+4 z^3 a^{-1} -11 z^3 a^{-3} -22 z^3 a^{-5} -26 z^3 a^{-7} -13 z^3 a^{-9} +a^2 z^2-3 z^2 a^{-2} +4 z^2 a^{-4} +14 z^2 a^{-6} +9 z^2 a^{-8} -z^2+z a^{-1} +4 z a^{-3} +6 z a^{-5} +7 z a^{-7} +4 z a^{-9} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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