K12a236
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+6 q^{11}-9 q^{10}+12 q^9-15 q^8+14 q^7-13 q^6+11 q^5-7 q^4+5 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-14 t^2+17 t-17+17 t^{-1} -14 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^8-8 z^6-6 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -7 z^4 a^{-6} -8 z^4 a^{-8} +4 z^4 a^{-10} +7 z^2 a^{-4} -3 z^2 a^{-6} -7 z^2 a^{-8} +4 z^2 a^{-10} +3 a^{-4} -4 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^9 a^{-5} +z^9 a^{-7} +5 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -7 z^8 a^{-6} -26 z^8 a^{-8} -12 z^8 a^{-10} +6 z^8 a^{-12} -10 z^7 a^{-5} -20 z^7 a^{-7} -34 z^7 a^{-9} -18 z^7 a^{-11} +6 z^7 a^{-13} -6 z^6 a^{-4} +z^6 a^{-6} +37 z^6 a^{-8} +14 z^6 a^{-10} -11 z^6 a^{-12} +5 z^6 a^{-14} +14 z^5 a^{-5} +35 z^5 a^{-7} +58 z^5 a^{-9} +25 z^5 a^{-11} -9 z^5 a^{-13} +3 z^5 a^{-15} +12 z^4 a^{-4} +10 z^4 a^{-6} -28 z^4 a^{-8} -11 z^4 a^{-10} +8 z^4 a^{-12} -6 z^4 a^{-14} +z^4 a^{-16} -5 z^3 a^{-5} -23 z^3 a^{-7} -46 z^3 a^{-9} -19 z^3 a^{-11} +6 z^3 a^{-13} -3 z^3 a^{-15} -10 z^2 a^{-4} -5 z^2 a^{-6} +14 z^2 a^{-8} +4 z^2 a^{-10} -2 z^2 a^{-12} +2 z^2 a^{-14} -z^2 a^{-16} -z a^{-5} +7 z a^{-7} +15 z a^{-9} +6 z a^{-11} -z a^{-13} +3 a^{-4} -4 a^{-8} -2 a^{-10} }[/math] |
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