K13n3754
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Polynomial invariants
| Jones polynomial | Data:K13n3754/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-18 t^2+30 t-35+30 t^{-1} -18 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3754/Conway Polynomial |
| Determinant | 147 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -5 z^6 a^{-8} +2 z^6 a^{-10} +9 z^4 a^{-6} -11 z^4 a^{-8} +7 z^4 a^{-10} -z^4 a^{-12} +13 z^2 a^{-6} -14 z^2 a^{-8} +8 z^2 a^{-10} -2 z^2 a^{-12} +6 a^{-6} -8 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^{10} a^{-12} +z^9 a^{-7} +2 z^9 a^{-9} +9 z^9 a^{-11} +8 z^9 a^{-13} -6 z^8 a^{-8} -13 z^8 a^{-10} +3 z^8 a^{-12} +10 z^8 a^{-14} -z^7 a^{-7} -7 z^7 a^{-9} -23 z^7 a^{-11} -9 z^7 a^{-13} +8 z^7 a^{-15} +3 z^6 a^{-6} +16 z^6 a^{-8} +18 z^6 a^{-10} -15 z^6 a^{-12} -16 z^6 a^{-14} +4 z^6 a^{-16} +10 z^5 a^{-9} +24 z^5 a^{-11} +z^5 a^{-13} -12 z^5 a^{-15} +z^5 a^{-17} -12 z^4 a^{-6} -31 z^4 a^{-8} -21 z^4 a^{-10} +12 z^4 a^{-12} +9 z^4 a^{-14} -5 z^4 a^{-16} -6 z^3 a^{-7} -16 z^3 a^{-9} -14 z^3 a^{-11} +2 z^3 a^{-13} +5 z^3 a^{-15} -z^3 a^{-17} +15 z^2 a^{-6} +25 z^2 a^{-8} +12 z^2 a^{-10} -z^2 a^{-12} -2 z^2 a^{-14} +z^2 a^{-16} +6 z a^{-7} +9 z a^{-9} +4 z a^{-11} -z a^{-15} -6 a^{-6} -8 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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