K12n477
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^{12}+3 q^{11}-5 q^{10}+7 q^9-7 q^8+7 q^7-5 q^6+4 q^5-2 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-8 t^2+7 t-5+7 t^{-1} -8 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+16 z^4+11 z^2+1 }[/math] |
| Determinant | 43 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-6} +9 z^4 a^{-8} +4 z^4 a^{-10} -z^4 a^{-12} +3 z^2 a^{-6} +10 z^2 a^{-8} +3 z^2 a^{-10} -5 z^2 a^{-12} +3 a^{-8} + a^{-10} -4 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +2 z^9 a^{-9} +3 z^9 a^{-11} +z^9 a^{-13} +3 z^8 a^{-8} -3 z^8 a^{-10} -6 z^8 a^{-12} +2 z^7 a^{-7} -7 z^7 a^{-9} -15 z^7 a^{-11} -6 z^7 a^{-13} +z^6 a^{-6} -13 z^6 a^{-8} +2 z^6 a^{-10} +17 z^6 a^{-12} +z^6 a^{-14} -7 z^5 a^{-7} +6 z^5 a^{-9} +29 z^5 a^{-11} +16 z^5 a^{-13} -4 z^4 a^{-6} +18 z^4 a^{-8} +z^4 a^{-10} -22 z^4 a^{-12} -z^4 a^{-14} +4 z^3 a^{-7} -z^3 a^{-9} -21 z^3 a^{-11} -14 z^3 a^{-13} +2 z^3 a^{-15} +3 z^2 a^{-6} -13 z^2 a^{-8} +17 z^2 a^{-12} +z^2 a^{-14} -z a^{-9} +6 z a^{-11} +4 z a^{-13} -3 z a^{-15} +3 a^{-8} - a^{-10} -4 a^{-12} - a^{-14} }[/math] |
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