K12n406
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-4 q^{12}+7 q^{11}-11 q^{10}+13 q^9-14 q^8+13 q^7-9 q^6+7 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-13 t^2+16 t-15+16 t^{-1} -13 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 5 z^6+17 z^4+9 z^2+1 }[/math] |
| Determinant | 83 |
| 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} +13 z^4 a^{-8} +2 z^4 a^{-10} -z^4 a^{-12} +z^2 a^{-6} +15 z^2 a^{-8} -3 z^2 a^{-10} -4 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} +8 z^9 a^{-11} +3 z^9 a^{-13} +6 z^8 a^{-8} -5 z^8 a^{-12} +z^8 a^{-14} +3 z^7 a^{-7} -15 z^7 a^{-9} -30 z^7 a^{-11} -12 z^7 a^{-13} +z^6 a^{-6} -22 z^6 a^{-8} -16 z^6 a^{-10} +8 z^6 a^{-12} +z^6 a^{-14} -8 z^5 a^{-7} +10 z^5 a^{-9} +44 z^5 a^{-11} +30 z^5 a^{-13} +4 z^5 a^{-15} -3 z^4 a^{-6} +26 z^4 a^{-8} +26 z^4 a^{-10} -4 z^4 a^{-12} +z^4 a^{-16} +2 z^3 a^{-7} +3 z^3 a^{-9} -22 z^3 a^{-11} -29 z^3 a^{-13} -6 z^3 a^{-15} +z^2 a^{-6} -17 z^2 a^{-8} -13 z^2 a^{-10} +4 z^2 a^{-12} -2 z^2 a^{-14} -z^2 a^{-16} -4 z a^{-9} +3 z a^{-11} +9 z a^{-13} +2 z a^{-15} +5 a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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