K12n374
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{14}+2 q^{13}-3 q^{12}+3 q^{11}-3 q^{10}+2 q^9-q^8+2 q^6-q^5+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-3 t^3+6 t-9+6 t^{-1} -3 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^8+13 z^6+22 z^4+11 z^2+1 }[/math] |
| Determinant | 11 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +7 z^6 a^{-10} -z^6 a^{-12} +15 z^4 a^{-8} +14 z^4 a^{-10} -7 z^4 a^{-12} +12 z^2 a^{-8} +9 z^2 a^{-10} -11 z^2 a^{-12} +z^2 a^{-14} +3 a^{-8} + a^{-10} -4 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +2 z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-8} -7 z^8 a^{-10} -8 z^8 a^{-12} -6 z^7 a^{-9} -15 z^7 a^{-11} -8 z^7 a^{-13} +z^7 a^{-15} -7 z^6 a^{-8} +14 z^6 a^{-10} +21 z^6 a^{-12} +2 z^6 a^{-14} +2 z^6 a^{-16} +8 z^5 a^{-9} +32 z^5 a^{-11} +22 z^5 a^{-13} -z^5 a^{-15} +z^5 a^{-17} +15 z^4 a^{-8} -11 z^4 a^{-10} -25 z^4 a^{-12} -5 z^4 a^{-14} -6 z^4 a^{-16} -22 z^3 a^{-11} -23 z^3 a^{-13} -4 z^3 a^{-15} -3 z^3 a^{-17} -12 z^2 a^{-8} +6 z^2 a^{-10} +17 z^2 a^{-12} +2 z^2 a^{-14} +3 z^2 a^{-16} -2 z a^{-9} +5 z a^{-11} +7 z a^{-13} +2 z a^{-15} +2 z a^{-17} +3 a^{-8} - a^{-10} -4 a^{-12} - a^{-14} }[/math] |
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