K13n379
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Polynomial invariants
| Jones polynomial | Data:K13n379/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+36 t-45+36 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n379/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +2 z^6 a^{-4} +z^6-10 z^4 a^{-2} +6 z^4 a^{-4} -z^4 a^{-6} +3 z^4-7 z^2 a^{-2} +6 z^2 a^{-4} +3 z^2- a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-1} +13 z^9 a^{-3} +9 z^9 a^{-5} +3 z^9 a^{-7} +6 z^8 a^{-2} -3 z^8 a^{-4} -z^8 a^{-6} +z^8 a^{-8} +7 z^8+4 a z^7-9 z^7 a^{-1} -31 z^7 a^{-3} -21 z^7 a^{-5} -3 z^7 a^{-7} +a^2 z^6-32 z^6 a^{-2} -18 z^6 a^{-4} +2 z^6 a^{-6} +4 z^6 a^{-8} -15 z^6-9 a z^5-5 z^5 a^{-1} +22 z^5 a^{-3} +22 z^5 a^{-5} +7 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+34 z^4 a^{-2} +27 z^4 a^{-4} -6 z^4 a^{-6} -10 z^4 a^{-8} +9 z^4+5 a z^3+7 z^3 a^{-1} -z^3 a^{-3} -10 z^3 a^{-5} -13 z^3 a^{-7} -6 z^3 a^{-9} +a^2 z^2-13 z^2 a^{-2} -10 z^2 a^{-4} +3 z^2 a^{-6} +5 z^2 a^{-8} -4 z^2-a z-2 z a^{-1} -z a^{-3} +z a^{-5} +4 z a^{-7} +3 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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