K12a156
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-3 q^{13}+6 q^{12}-12 q^{11}+16 q^{10}-20 q^9+22 q^8-20 q^7+18 q^6-12 q^5+7 q^4-3 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 11 t^2-35 t+49-35 t^{-1} +11 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 11 z^4+9 z^2+1 }[/math] |
| Determinant | 141 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +3 z^4 a^{-6} +5 z^4 a^{-8} +2 z^4 a^{-10} +z^2 a^{-4} +3 z^2 a^{-6} +9 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +5 a^{-8} -3 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +5 z^{10} a^{-10} +8 z^{10} a^{-12} +3 z^{10} a^{-14} +10 z^9 a^{-9} +15 z^9 a^{-11} +8 z^9 a^{-13} +3 z^9 a^{-15} +12 z^8 a^{-8} +2 z^8 a^{-10} -20 z^8 a^{-12} -9 z^8 a^{-14} +z^8 a^{-16} +9 z^7 a^{-7} -20 z^7 a^{-9} -62 z^7 a^{-11} -48 z^7 a^{-13} -15 z^7 a^{-15} +6 z^6 a^{-6} -28 z^6 a^{-8} -43 z^6 a^{-10} -4 z^6 a^{-12} -5 z^6 a^{-16} +3 z^5 a^{-5} -12 z^5 a^{-7} +8 z^5 a^{-9} +74 z^5 a^{-11} +77 z^5 a^{-13} +26 z^5 a^{-15} +z^4 a^{-4} -6 z^4 a^{-6} +32 z^4 a^{-8} +58 z^4 a^{-10} +26 z^4 a^{-12} +15 z^4 a^{-14} +8 z^4 a^{-16} -2 z^3 a^{-5} +6 z^3 a^{-7} +2 z^3 a^{-9} -42 z^3 a^{-11} -55 z^3 a^{-13} -19 z^3 a^{-15} -z^2 a^{-4} +3 z^2 a^{-6} -20 z^2 a^{-8} -29 z^2 a^{-10} -9 z^2 a^{-12} -8 z^2 a^{-14} -4 z^2 a^{-16} -z a^{-9} +12 z a^{-11} +18 z a^{-13} +5 z a^{-15} +5 a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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