K12n133
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{13}-6 q^{12}+11 q^{11}-17 q^{10}+19 q^9-20 q^8+18 q^7-13 q^6+9 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-14 t^2+26 t-31+26 t^{-1} -14 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+10 z^4+6 z^2+1 }[/math] |
| Determinant | 119 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^4 a^{-6} +12 z^4 a^{-8} -5 z^4 a^{-10} +3 z^2 a^{-6} +15 z^2 a^{-8} -14 z^2 a^{-10} +2 z^2 a^{-12} + a^{-6} +6 a^{-8} -9 a^{-10} +3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +4 z^9 a^{-9} +7 z^9 a^{-11} +3 z^9 a^{-13} +6 z^8 a^{-8} +14 z^8 a^{-10} +11 z^8 a^{-12} +3 z^8 a^{-14} +3 z^7 a^{-7} +3 z^7 a^{-9} +3 z^7 a^{-11} +4 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-6} -15 z^6 a^{-8} -37 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} -6 z^5 a^{-7} -28 z^5 a^{-9} -37 z^5 a^{-11} -10 z^5 a^{-13} +5 z^5 a^{-15} -3 z^4 a^{-6} +17 z^4 a^{-8} +33 z^4 a^{-10} +10 z^4 a^{-12} +3 z^4 a^{-16} +3 z^3 a^{-7} +30 z^3 a^{-9} +41 z^3 a^{-11} +8 z^3 a^{-13} -6 z^3 a^{-15} +3 z^2 a^{-6} -15 z^2 a^{-8} -23 z^2 a^{-10} -3 z^2 a^{-12} -z^2 a^{-14} -3 z^2 a^{-16} -12 z a^{-9} -16 z a^{-11} -2 z a^{-13} +2 z a^{-15} - a^{-6} +6 a^{-8} +9 a^{-10} +3 a^{-12} }[/math] |
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