K13n2
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Polynomial invariants
| Jones polynomial | Data:K13n2/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-19 t^2+26 t-25+26 t^{-1} -19 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2/Conway Polynomial |
| Determinant | 131 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-10 z^4 a^{-2} +4 z^4 a^{-4} +12 z^4+a^4 z^2-9 a^2 z^2-12 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +14 z^2+2 a^4-5 a^2-5 a^{-2} +2 a^{-4} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+5 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9+9 a z^9+15 z^9 a^{-1} +9 z^9 a^{-3} +a^4 z^8-7 a^2 z^8-2 z^8 a^{-2} +7 z^8 a^{-4} -17 z^8-14 a^3 z^7-50 a z^7-64 z^7 a^{-1} -26 z^7 a^{-3} +2 z^7 a^{-5} -5 a^4 z^6-10 a^2 z^6-34 z^6 a^{-2} -17 z^6 a^{-4} -22 z^6+22 a^3 z^5+69 a z^5+73 z^5 a^{-1} +29 z^5 a^{-3} +3 z^5 a^{-5} +9 a^4 z^4+33 a^2 z^4+51 z^4 a^{-2} +22 z^4 a^{-4} +5 z^4 a^{-6} +58 z^4-14 a^3 z^3-35 a z^3-34 z^3 a^{-1} -16 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -7 a^4 z^2-24 a^2 z^2-28 z^2 a^{-2} -12 z^2 a^{-4} -2 z^2 a^{-6} -35 z^2+3 a^3 z+6 a z+6 z a^{-1} +3 z a^{-3} +2 a^4+5 a^2+5 a^{-2} +2 a^{-4} +7 }[/math] |
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