K13n2038
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Polynomial invariants
| Jones polynomial | Data:K13n2038/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-8 t^2+2 t+3+2 t^{-1} -8 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2038/Conway Polynomial |
| Determinant | 35 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -6 z^4 a^{-6} -11 z^4 a^{-8} +6 z^4 a^{-10} +7 z^2 a^{-4} -2 z^2 a^{-6} -10 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} -4 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^{10} a^{-10} +2 z^9 a^{-5} -2 z^9 a^{-7} -3 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -8 z^8 a^{-6} -22 z^8 a^{-8} -13 z^8 a^{-10} -10 z^7 a^{-5} -8 z^7 a^{-7} -7 z^7 a^{-9} -8 z^7 a^{-11} +z^7 a^{-13} -6 z^6 a^{-4} +3 z^6 a^{-6} +36 z^6 a^{-8} +25 z^6 a^{-10} -z^6 a^{-12} +z^6 a^{-14} +13 z^5 a^{-5} +14 z^5 a^{-7} +23 z^5 a^{-9} +16 z^5 a^{-11} -6 z^5 a^{-13} +12 z^4 a^{-4} +8 z^4 a^{-6} -30 z^4 a^{-8} -22 z^4 a^{-10} -z^4 a^{-12} -5 z^4 a^{-14} -3 z^3 a^{-5} -6 z^3 a^{-7} -23 z^3 a^{-9} -13 z^3 a^{-11} +7 z^3 a^{-13} -10 z^2 a^{-4} -4 z^2 a^{-6} +17 z^2 a^{-8} +8 z^2 a^{-10} +2 z^2 a^{-12} +5 z^2 a^{-14} -2 z a^{-5} +3 z a^{-7} +9 z a^{-9} +2 z a^{-11} -2 z a^{-13} +3 a^{-4} -4 a^{-8} -2 a^{-10} }[/math] |
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