K12n674
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+6 q^{11}-9 q^{10}+11 q^9-13 q^8+11 q^7-9 q^6+7 q^5-3 q^4+2 q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-10 t^2+14 t-15+14 t^{-1} -10 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-3 z^6+3 z^2+1 }[/math] |
| Determinant | 75 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +10 z^4 a^{-6} -14 z^4 a^{-8} +4 z^4 a^{-10} +15 z^2 a^{-6} -17 z^2 a^{-8} +5 z^2 a^{-10} +7 a^{-6} -9 a^{-8} +3 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +4 z^9 a^{-9} +3 z^9 a^{-11} -3 z^8 a^{-8} +2 z^8 a^{-10} +5 z^8 a^{-12} -3 z^7 a^{-7} -12 z^7 a^{-9} -3 z^7 a^{-11} +6 z^7 a^{-13} +3 z^6 a^{-6} +9 z^6 a^{-8} -7 z^6 a^{-10} -8 z^6 a^{-12} +5 z^6 a^{-14} +5 z^5 a^{-7} +16 z^5 a^{-9} -2 z^5 a^{-11} -10 z^5 a^{-13} +3 z^5 a^{-15} -13 z^4 a^{-6} -24 z^4 a^{-8} +2 z^4 a^{-10} +6 z^4 a^{-12} -6 z^4 a^{-14} +z^4 a^{-16} -11 z^3 a^{-7} -19 z^3 a^{-9} +4 z^3 a^{-11} +9 z^3 a^{-13} -3 z^3 a^{-15} +17 z^2 a^{-6} +24 z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +2 z^2 a^{-14} -z^2 a^{-16} +8 z a^{-7} +10 z a^{-9} -z a^{-11} -3 z a^{-13} -7 a^{-6} -9 a^{-8} -3 a^{-10} }[/math] |
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