K12a930
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+7 q^{11}-12 q^{10}+17 q^9-22 q^8+22 q^7-21 q^6+18 q^5-12 q^4+8 q^3-3 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-19 t^2+28 t-31+28 t^{-1} -19 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^8-7 z^6-5 z^4+z^2+1 }[/math] |
| Determinant | 147 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -3 z^4 a^{-6} -10 z^4 a^{-8} +4 z^4 a^{-10} +5 z^2 a^{-4} +3 z^2 a^{-6} -12 z^2 a^{-8} +5 z^2 a^{-10} +2 a^{-4} +3 a^{-6} -7 a^{-8} +3 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +3 z^9 a^{-5} +2 z^9 a^{-7} +10 z^9 a^{-9} +11 z^9 a^{-11} +z^8 a^{-4} -14 z^8 a^{-6} -38 z^8 a^{-8} -12 z^8 a^{-10} +11 z^8 a^{-12} -13 z^7 a^{-5} -31 z^7 a^{-7} -54 z^7 a^{-9} -27 z^7 a^{-11} +9 z^7 a^{-13} -5 z^6 a^{-4} +10 z^6 a^{-6} +37 z^6 a^{-8} -5 z^6 a^{-10} -21 z^6 a^{-12} +6 z^6 a^{-14} +17 z^5 a^{-5} +46 z^5 a^{-7} +71 z^5 a^{-9} +26 z^5 a^{-11} -13 z^5 a^{-13} +3 z^5 a^{-15} +9 z^4 a^{-4} +2 z^4 a^{-6} -20 z^4 a^{-8} +9 z^4 a^{-10} +15 z^4 a^{-12} -6 z^4 a^{-14} +z^4 a^{-16} -6 z^3 a^{-5} -25 z^3 a^{-7} -47 z^3 a^{-9} -17 z^3 a^{-11} +9 z^3 a^{-13} -2 z^3 a^{-15} -7 z^2 a^{-4} +2 z^2 a^{-6} +16 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +3 z^2 a^{-14} -z^2 a^{-16} -z a^{-5} +8 z a^{-7} +16 z a^{-9} +5 z a^{-11} -2 z a^{-13} +2 a^{-4} -3 a^{-6} -7 a^{-8} -3 a^{-10} }[/math] |
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