K13n429
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Polynomial invariants
| Jones polynomial | Data:K13n429/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4+t^3-12 t^2+30 t-39+30 t^{-1} -12 t^{-2} + t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n429/Conway Polynomial |
| Determinant | 123 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +z^6 a^{-10} +19 z^4 a^{-8} -5 z^4 a^{-12} +18 z^2 a^{-8} -4 z^2 a^{-10} -11 z^2 a^{-12} +4 z^2 a^{-14} +6 a^{-8} -3 a^{-10} -6 a^{-12} +5 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-13} +z^{11} a^{-15} +4 z^{10} a^{-12} +8 z^{10} a^{-14} +4 z^{10} a^{-16} +3 z^9 a^{-11} +10 z^9 a^{-13} +13 z^9 a^{-15} +6 z^9 a^{-17} +z^8 a^{-8} -z^8 a^{-10} -16 z^8 a^{-12} -20 z^8 a^{-14} -2 z^8 a^{-16} +4 z^8 a^{-18} -z^7 a^{-9} -17 z^7 a^{-11} -56 z^7 a^{-13} -60 z^7 a^{-15} -19 z^7 a^{-17} +z^7 a^{-19} -8 z^6 a^{-8} +2 z^6 a^{-10} +28 z^6 a^{-12} +2 z^6 a^{-14} -30 z^6 a^{-16} -14 z^6 a^{-18} +42 z^5 a^{-11} +107 z^5 a^{-13} +84 z^5 a^{-15} +16 z^5 a^{-17} -3 z^5 a^{-19} +19 z^4 a^{-8} +8 z^4 a^{-10} -18 z^4 a^{-12} +20 z^4 a^{-14} +41 z^4 a^{-16} +14 z^4 a^{-18} +7 z^3 a^{-9} -31 z^3 a^{-11} -88 z^3 a^{-13} -61 z^3 a^{-15} -9 z^3 a^{-17} +2 z^3 a^{-19} -18 z^2 a^{-8} -10 z^2 a^{-10} +13 z^2 a^{-12} -7 z^2 a^{-14} -17 z^2 a^{-16} -5 z^2 a^{-18} -6 z a^{-9} +7 z a^{-11} +29 z a^{-13} +20 z a^{-15} +4 z a^{-17} +6 a^{-8} +3 a^{-10} -6 a^{-12} -5 a^{-14} - a^{-16} }[/math] |
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