K13n2888
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Polynomial invariants
| Jones polynomial | Data:K13n2888/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+24 t-27+24 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2888/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +7 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -3 z^4+a^2 z^2+8 z^2 a^{-2} -2 z^2 a^{-6} -8 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-3 z^9 a^{-1} +4 z^9 a^{-3} +7 z^9 a^{-5} -21 z^8 a^{-2} -10 z^8 a^{-4} +7 z^8 a^{-6} -4 z^8+3 a z^7+8 z^7 a^{-1} -23 z^7 a^{-3} -23 z^7 a^{-5} +5 z^7 a^{-7} +a^2 z^6+46 z^6 a^{-2} +10 z^6 a^{-4} -19 z^6 a^{-6} +3 z^6 a^{-8} +15 z^6-9 a z^5-8 z^5 a^{-1} +46 z^5 a^{-3} +34 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} -4 a^2 z^4-50 z^4 a^{-2} +3 z^4 a^{-4} +20 z^4 a^{-6} -6 z^4 a^{-8} -31 z^4+6 a z^3-6 z^3 a^{-1} -34 z^3 a^{-3} -16 z^3 a^{-5} +4 z^3 a^{-7} -2 z^3 a^{-9} +5 a^2 z^2+21 z^2 a^{-2} -z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +21 z^2+4 z a^{-1} +7 z a^{-3} +3 z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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