K13n3580
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Polynomial invariants
| Jones polynomial | Data:K13n3580/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+3 t-5+3 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3580/Conway Polynomial |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -5 z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2+2 z^2 a^{-2} -6 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2+a^2+2 a^{-2} -2 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +2 z^9 a^{-5} +2 z^9 a^{-7} +z^8 a^{-2} -8 z^8 a^{-4} -6 z^8 a^{-6} +z^8 a^{-8} +2 z^8+2 a z^7-4 z^7 a^{-1} -8 z^7 a^{-3} -15 z^7 a^{-5} -13 z^7 a^{-7} +a^2 z^6-5 z^6 a^{-2} +19 z^6 a^{-4} +9 z^6 a^{-6} -6 z^6 a^{-8} -8 z^6-8 a z^5+2 z^5 a^{-1} +17 z^5 a^{-3} +32 z^5 a^{-5} +25 z^5 a^{-7} -4 a^2 z^4+3 z^4 a^{-2} -20 z^4 a^{-4} -4 z^4 a^{-6} +10 z^4 a^{-8} +5 z^4+6 a z^3+z^3 a^{-1} -14 z^3 a^{-3} -25 z^3 a^{-5} -16 z^3 a^{-7} +3 a^2 z^2+3 z^2 a^{-2} +10 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2 a^{-8} +2 z^2-a z+4 z a^{-3} +6 z a^{-5} +3 z a^{-7} -a^2-2 a^{-2} -2 a^{-4} - a^{-6} -1 }[/math] |
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