K13n2012
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Polynomial invariants
| Jones polynomial | Data:K13n2012/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+34 t-45+34 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2012/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +2 z^4 a^{-6} -z^4 a^{-8} -z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +z^2+ a^{-2} -3 a^{-4} +3 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^9 a^{-3} +5 z^9 a^{-5} +8 z^9 a^{-7} +7 z^9 a^{-9} +z^8 a^{-2} -16 z^8 a^{-4} -35 z^8 a^{-6} -14 z^8 a^{-8} +4 z^8 a^{-10} -13 z^7 a^{-3} -35 z^7 a^{-5} -46 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +26 z^6 a^{-4} +38 z^6 a^{-6} -13 z^6 a^{-10} +3 z^5 a^{-1} +27 z^5 a^{-3} +60 z^5 a^{-5} +60 z^5 a^{-7} +21 z^5 a^{-9} -3 z^5 a^{-11} +z^4 a^{-2} -17 z^4 a^{-4} -22 z^4 a^{-6} +6 z^4 a^{-8} +11 z^4 a^{-10} +z^4-4 z^3 a^{-1} -18 z^3 a^{-3} -38 z^3 a^{-5} -36 z^3 a^{-7} -10 z^3 a^{-9} +2 z^3 a^{-11} +10 z^2 a^{-4} +10 z^2 a^{-6} -z^2 a^{-8} -3 z^2 a^{-10} -2 z^2+z a^{-1} +4 z a^{-3} +8 z a^{-5} +8 z a^{-7} +3 z a^{-9} - a^{-2} -3 a^{-4} -3 a^{-6} - a^{-8} +1 }[/math] |
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