K12a974
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-4 q^{13}+8 q^{12}-14 q^{11}+20 q^{10}-25 q^9+27 q^8-26 q^7+22 q^6-15 q^5+10 q^4-4 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 13 t^2-44 t+63-44 t^{-1} +13 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 13 z^4+8 z^2+1 }[/math] |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +4 z^4 a^{-6} +5 z^4 a^{-8} +3 z^4 a^{-10} +5 z^2 a^{-6} +5 z^2 a^{-8} +2 z^2 a^{-10} -4 z^2 a^{-12} +2 a^{-6} + a^{-10} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-11} +3 z^{11} a^{-13} +10 z^{10} a^{-10} +16 z^{10} a^{-12} +6 z^{10} a^{-14} +15 z^9 a^{-9} +12 z^9 a^{-11} +z^9 a^{-13} +4 z^9 a^{-15} +17 z^8 a^{-8} -17 z^8 a^{-10} -60 z^8 a^{-12} -25 z^8 a^{-14} +z^8 a^{-16} +15 z^7 a^{-7} -26 z^7 a^{-9} -67 z^7 a^{-11} -44 z^7 a^{-13} -18 z^7 a^{-15} +10 z^6 a^{-6} -26 z^6 a^{-8} -z^6 a^{-10} +69 z^6 a^{-12} +30 z^6 a^{-14} -4 z^6 a^{-16} +4 z^5 a^{-5} -18 z^5 a^{-7} +4 z^5 a^{-9} +80 z^5 a^{-11} +79 z^5 a^{-13} +25 z^5 a^{-15} +z^4 a^{-4} -9 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4 a^{-10} -33 z^4 a^{-12} -10 z^4 a^{-14} +4 z^4 a^{-16} +4 z^3 a^{-7} +3 z^3 a^{-9} -34 z^3 a^{-11} -46 z^3 a^{-13} -13 z^3 a^{-15} +5 z^2 a^{-6} -z^2 a^{-8} +6 z^2 a^{-10} +13 z^2 a^{-12} -z^2 a^{-16} +z a^{-7} -z a^{-9} +5 z a^{-11} +9 z a^{-13} +2 z a^{-15} -2 a^{-6} - a^{-10} -3 a^{-12} - a^{-14} }[/math] |
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