K13a1396
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Polynomial invariants
| Jones polynomial | Data:K13a1396/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+14 t^3-31 t^2+48 t-55+48 t^{-1} -31 t^{-2} +14 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1396/Conway Polynomial |
| Determinant | 247 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -2 z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -10 z^6 a^{-8} +3 z^6 a^{-10} +5 z^4 a^{-4} -5 z^4 a^{-6} -18 z^4 a^{-8} +12 z^4 a^{-10} -z^4 a^{-12} +8 z^2 a^{-4} -3 z^2 a^{-6} -15 z^2 a^{-8} +15 z^2 a^{-10} -3 z^2 a^{-12} +4 a^{-4} -2 a^{-6} -5 a^{-8} +6 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-8} +z^{12} a^{-10} +3 z^{11} a^{-7} +8 z^{11} a^{-9} +5 z^{11} a^{-11} +3 z^{10} a^{-6} +9 z^{10} a^{-8} +17 z^{10} a^{-10} +11 z^{10} a^{-12} +2 z^9 a^{-5} -6 z^9 a^{-7} -12 z^9 a^{-9} +11 z^9 a^{-11} +15 z^9 a^{-13} +z^8 a^{-4} -9 z^8 a^{-6} -39 z^8 a^{-8} -50 z^8 a^{-10} -7 z^8 a^{-12} +14 z^8 a^{-14} -8 z^7 a^{-5} +z^7 a^{-7} -7 z^7 a^{-9} -46 z^7 a^{-11} -21 z^7 a^{-13} +9 z^7 a^{-15} -6 z^6 a^{-4} +4 z^6 a^{-6} +59 z^6 a^{-8} +58 z^6 a^{-10} -16 z^6 a^{-12} -21 z^6 a^{-14} +4 z^6 a^{-16} +8 z^5 a^{-5} -5 z^5 a^{-7} +12 z^5 a^{-9} +46 z^5 a^{-11} +9 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} +13 z^4 a^{-4} +7 z^4 a^{-6} -56 z^4 a^{-8} -53 z^4 a^{-10} +16 z^4 a^{-12} +15 z^4 a^{-14} -4 z^4 a^{-16} +2 z^3 a^{-5} +13 z^3 a^{-7} -6 z^3 a^{-9} -24 z^3 a^{-11} +6 z^3 a^{-15} -z^3 a^{-17} -12 z^2 a^{-4} -6 z^2 a^{-6} +30 z^2 a^{-8} +28 z^2 a^{-10} -z^2 a^{-12} -4 z^2 a^{-14} +z^2 a^{-16} -4 z a^{-5} -6 z a^{-7} +z a^{-9} +5 z a^{-11} +z a^{-13} -z a^{-15} +4 a^{-4} +2 a^{-6} -5 a^{-8} -6 a^{-10} -2 a^{-12} }[/math] |
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