K12a432
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{15}-4 q^{14}+10 q^{13}-19 q^{12}+26 q^{11}-32 q^{10}+34 q^9-31 q^8+25 q^7-16 q^6+9 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 7 t^3-25 t^2+46 t-55+46 t^{-1} -25 t^{-2} +7 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 7 z^6+17 z^4+9 z^2+1 }[/math] |
| Determinant | 211 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^6 a^{-10} +3 z^4 a^{-6} +9 z^4 a^{-8} +9 z^4 a^{-10} -4 z^4 a^{-12} +3 z^2 a^{-6} +7 z^2 a^{-8} +8 z^2 a^{-10} -10 z^2 a^{-12} +z^2 a^{-14} + a^{-6} + a^{-8} +3 a^{-10} -6 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-11} +2 z^{11} a^{-13} +6 z^{10} a^{-10} +13 z^{10} a^{-12} +7 z^{10} a^{-14} +7 z^9 a^{-9} +14 z^9 a^{-11} +17 z^9 a^{-13} +10 z^9 a^{-15} +6 z^8 a^{-8} -4 z^8 a^{-10} -20 z^8 a^{-12} -2 z^8 a^{-14} +8 z^8 a^{-16} +3 z^7 a^{-7} -8 z^7 a^{-9} -36 z^7 a^{-11} -46 z^7 a^{-13} -17 z^7 a^{-15} +4 z^7 a^{-17} +z^6 a^{-6} -12 z^6 a^{-8} +2 z^6 a^{-10} +18 z^6 a^{-12} -13 z^6 a^{-14} -15 z^6 a^{-16} +z^6 a^{-18} -6 z^5 a^{-7} -2 z^5 a^{-9} +39 z^5 a^{-11} +52 z^5 a^{-13} +9 z^5 a^{-15} -8 z^5 a^{-17} -3 z^4 a^{-6} +10 z^4 a^{-8} -11 z^4 a^{-10} -26 z^4 a^{-12} +8 z^4 a^{-14} +8 z^4 a^{-16} -2 z^4 a^{-18} +3 z^3 a^{-7} +6 z^3 a^{-9} -26 z^3 a^{-11} -38 z^3 a^{-13} -4 z^3 a^{-15} +5 z^3 a^{-17} +3 z^2 a^{-6} -5 z^2 a^{-8} +11 z^2 a^{-10} +22 z^2 a^{-12} +z^2 a^{-14} -z^2 a^{-16} +z^2 a^{-18} -2 z a^{-9} +8 z a^{-11} +12 z a^{-13} +z a^{-15} -z a^{-17} - a^{-6} + a^{-8} -3 a^{-10} -6 a^{-12} -2 a^{-14} }[/math] |
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