K12a144
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{15}-3 q^{14}+6 q^{13}-12 q^{12}+17 q^{11}-22 q^{10}+24 q^9-22 q^8+19 q^7-13 q^6+8 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-19 t^2+32 t-37+32 t^{-1} -19 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 6 z^6+17 z^4+10 z^2+1 }[/math] |
| Determinant | 151 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +2 z^6 a^{-10} +3 z^4 a^{-6} +11 z^4 a^{-8} +6 z^4 a^{-10} -3 z^4 a^{-12} +2 z^2 a^{-6} +11 z^2 a^{-8} +5 z^2 a^{-10} -9 z^2 a^{-12} +z^2 a^{-14} +3 a^{-8} +2 a^{-10} -6 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +4 z^{10} a^{-10} +7 z^{10} a^{-12} +3 z^{10} a^{-14} +6 z^9 a^{-9} +9 z^9 a^{-11} +7 z^9 a^{-13} +4 z^9 a^{-15} +6 z^8 a^{-8} -4 z^8 a^{-10} -16 z^8 a^{-12} -2 z^8 a^{-14} +4 z^8 a^{-16} +3 z^7 a^{-7} -12 z^7 a^{-9} -28 z^7 a^{-11} -21 z^7 a^{-13} -5 z^7 a^{-15} +3 z^7 a^{-17} +z^6 a^{-6} -17 z^6 a^{-8} +29 z^6 a^{-12} +2 z^6 a^{-14} -8 z^6 a^{-16} +z^6 a^{-18} -7 z^5 a^{-7} +6 z^5 a^{-9} +40 z^5 a^{-11} +34 z^5 a^{-13} -2 z^5 a^{-15} -9 z^5 a^{-17} -3 z^4 a^{-6} +19 z^4 a^{-8} -2 z^4 a^{-10} -36 z^4 a^{-12} -7 z^4 a^{-14} +2 z^4 a^{-16} -3 z^4 a^{-18} +3 z^3 a^{-7} -29 z^3 a^{-11} -29 z^3 a^{-13} +5 z^3 a^{-15} +8 z^3 a^{-17} +2 z^2 a^{-6} -13 z^2 a^{-8} +4 z^2 a^{-10} +25 z^2 a^{-12} +6 z^2 a^{-14} +2 z^2 a^{-16} +2 z^2 a^{-18} -z a^{-9} +9 z a^{-11} +9 z a^{-13} -3 z a^{-15} -2 z a^{-17} +3 a^{-8} -2 a^{-10} -6 a^{-12} -2 a^{-14} }[/math] |
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