K13n1977
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Polynomial invariants
| Jones polynomial | Data:K13n1977/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+6 t^3-5 t^2-2 t+7-2 t^{-1} -5 t^{-2} +6 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1977/Conway Polynomial |
| Determinant | 15 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -6 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +6 z^4 a^{-4} -11 z^4 a^{-6} -10 z^4 a^{-8} +6 z^4 a^{-10} +10 z^2 a^{-4} -10 z^2 a^{-6} -6 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +5 a^{-4} -5 a^{-6} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} +z^9 a^{-5} -6 z^9 a^{-7} -6 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -4 z^8 a^{-6} -20 z^8 a^{-8} -15 z^8 a^{-10} -5 z^7 a^{-5} +13 z^7 a^{-7} +10 z^7 a^{-9} -7 z^7 a^{-11} +z^7 a^{-13} -7 z^6 a^{-4} -2 z^6 a^{-6} +42 z^6 a^{-8} +36 z^6 a^{-10} +z^6 a^{-14} +4 z^5 a^{-5} -22 z^5 a^{-7} -8 z^5 a^{-9} +12 z^5 a^{-11} -6 z^5 a^{-13} +16 z^4 a^{-4} +16 z^4 a^{-6} -38 z^4 a^{-8} -36 z^4 a^{-10} -3 z^4 a^{-12} -5 z^4 a^{-14} +5 z^3 a^{-5} +23 z^3 a^{-7} +4 z^3 a^{-9} -6 z^3 a^{-11} +8 z^3 a^{-13} -15 z^2 a^{-4} -15 z^2 a^{-6} +13 z^2 a^{-8} +11 z^2 a^{-10} +3 z^2 a^{-12} +5 z^2 a^{-14} -5 z a^{-5} -7 z a^{-7} -z a^{-9} -z a^{-11} -2 z a^{-13} +5 a^{-4} +5 a^{-6} - a^{-10} }[/math] |
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