K13n2356
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Polynomial invariants
| Jones polynomial | Data:K13n2356/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-17 t^2+28 t-33+28 t^{-1} -17 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2356/Conway Polynomial |
| Determinant | 139 |
| 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} -10 z^4 a^{-8} +7 z^4 a^{-10} -z^4 a^{-12} +12 z^2 a^{-6} -10 z^2 a^{-8} +7 z^2 a^{-10} -2 z^2 a^{-12} +4 a^{-6} -4 a^{-8} +2 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} +z^9 a^{-9} +8 z^9 a^{-11} +8 z^9 a^{-13} -7 z^8 a^{-8} -17 z^8 a^{-10} +10 z^8 a^{-14} -z^7 a^{-7} -5 z^7 a^{-9} -25 z^7 a^{-11} -13 z^7 a^{-13} +8 z^7 a^{-15} +3 z^6 a^{-6} +18 z^6 a^{-8} +29 z^6 a^{-10} -9 z^6 a^{-12} -19 z^6 a^{-14} +4 z^6 a^{-16} -2 z^5 a^{-7} +8 z^5 a^{-9} +34 z^5 a^{-11} +10 z^5 a^{-13} -13 z^5 a^{-15} +z^5 a^{-17} -12 z^4 a^{-6} -30 z^4 a^{-8} -29 z^4 a^{-10} +8 z^4 a^{-12} +14 z^4 a^{-14} -5 z^4 a^{-16} -z^3 a^{-7} -12 z^3 a^{-9} -22 z^3 a^{-11} -5 z^3 a^{-13} +5 z^3 a^{-15} -z^3 a^{-17} +14 z^2 a^{-6} +19 z^2 a^{-8} +11 z^2 a^{-10} +2 z^2 a^{-12} -4 z^2 a^{-14} +3 z a^{-7} +4 z a^{-9} +5 z a^{-11} +3 z a^{-13} -z a^{-15} -4 a^{-6} -4 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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