K13n2810
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Polynomial invariants
| Jones polynomial | Data:K13n2810/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-10 t^3+10 t^2-2 t-3-2 t^{-1} +10 t^{-2} -10 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n2810/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} +5 z^6 a^{-2} -16 z^6 a^{-4} +6 z^6 a^{-6} +6 z^4 a^{-2} -13 z^4 a^{-4} +8 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} - a^{-2} +6 a^{-4} -5 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^9 a^{-1} -9 z^9 a^{-3} -11 z^9 a^{-5} +2 z^9 a^{-7} -31 z^8 a^{-2} -62 z^8 a^{-4} -29 z^8 a^{-6} +z^8 a^{-8} +z^8-19 z^7 a^{-1} -13 z^7 a^{-3} -8 z^7 a^{-5} -12 z^7 a^{-7} +2 z^7 a^{-9} +45 z^6 a^{-2} +97 z^6 a^{-4} +39 z^6 a^{-6} -8 z^6 a^{-8} +z^6 a^{-10} -4 z^6+23 z^5 a^{-1} +38 z^5 a^{-3} +32 z^5 a^{-5} +6 z^5 a^{-7} -11 z^5 a^{-9} -25 z^4 a^{-2} -49 z^4 a^{-4} -11 z^4 a^{-6} +6 z^4 a^{-8} -4 z^4 a^{-10} +3 z^4-8 z^3 a^{-1} -18 z^3 a^{-3} -7 z^3 a^{-5} +12 z^3 a^{-7} +9 z^3 a^{-9} +3 z^2 a^{-2} -z^2 a^{-4} -6 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} -z a^{-3} -7 z a^{-5} -8 z a^{-7} -2 z a^{-9} + a^{-2} +6 a^{-4} +5 a^{-6} + a^{-8} }[/math] |
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