K12n453
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{13}-7 q^{12}+11 q^{11}-16 q^{10}+19 q^9-19 q^8+17 q^7-12 q^6+8 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-15 t^2+24 t-27+24 t^{-1} -15 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 5 z^6+15 z^4+9 z^2+1 }[/math] |
| Determinant | 115 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +z^6 a^{-10} +3 z^4 a^{-6} +12 z^4 a^{-8} +z^4 a^{-10} -z^4 a^{-12} +2 z^2 a^{-6} +14 z^2 a^{-8} -4 z^2 a^{-10} -3 z^2 a^{-12} +5 a^{-8} -3 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-10} +2 z^{10} a^{-12} +5 z^9 a^{-9} +10 z^9 a^{-11} +5 z^9 a^{-13} +6 z^8 a^{-8} +6 z^8 a^{-10} +4 z^8 a^{-12} +4 z^8 a^{-14} +3 z^7 a^{-7} -8 z^7 a^{-9} -23 z^7 a^{-11} -11 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-6} -18 z^6 a^{-8} -24 z^6 a^{-10} -8 z^6 a^{-12} -3 z^6 a^{-14} -7 z^5 a^{-7} -2 z^5 a^{-9} +25 z^5 a^{-11} +27 z^5 a^{-13} +7 z^5 a^{-15} -3 z^4 a^{-6} +22 z^4 a^{-8} +26 z^4 a^{-10} +z^4 a^{-12} +3 z^4 a^{-14} +3 z^4 a^{-16} +3 z^3 a^{-7} +7 z^3 a^{-9} -17 z^3 a^{-11} -32 z^3 a^{-13} -11 z^3 a^{-15} +2 z^2 a^{-6} -17 z^2 a^{-8} -14 z^2 a^{-10} +5 z^2 a^{-12} -2 z^2 a^{-14} -2 z^2 a^{-16} -3 z a^{-9} +6 z a^{-11} +12 z a^{-13} +3 z a^{-15} +5 a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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