K13n2615
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Polynomial invariants
| Jones polynomial | Data:K13n2615/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+44 t-61+44 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2615/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +2 z^2 a^{-6} -z^2+2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +8 z^9 a^{-1} +11 z^9 a^{-3} +7 z^9 a^{-5} +4 z^9 a^{-7} -4 z^8 a^{-2} -21 z^8 a^{-4} -9 z^8 a^{-6} +z^8 a^{-8} +7 z^8+4 a z^7-13 z^7 a^{-1} -33 z^7 a^{-3} -20 z^7 a^{-5} -4 z^7 a^{-7} +a^2 z^6-9 z^6 a^{-2} +18 z^6 a^{-4} +18 z^6 a^{-6} +6 z^6 a^{-8} -14 z^6-9 a z^5+4 z^5 a^{-1} +34 z^5 a^{-3} +23 z^5 a^{-5} +5 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+10 z^4 a^{-2} -9 z^4 a^{-4} -23 z^4 a^{-6} -13 z^4 a^{-8} +7 z^4+5 a z^3-2 z^3 a^{-1} -14 z^3 a^{-3} -12 z^3 a^{-5} -10 z^3 a^{-7} -5 z^3 a^{-9} +a^2 z^2-2 z^2 a^{-2} +7 z^2 a^{-4} +11 z^2 a^{-6} +5 z^2 a^{-8} -2 z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} +3 z a^{-7} +2 z a^{-9} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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