K12n769
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -1+4 q^{-1} -8 q^{-2} +12 q^{-3} -13 q^{-4} +15 q^{-5} -13 q^{-6} +10 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+20 t-27+20 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+4 z^4+6 z^2+1 }[/math] |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+4 z^2 a^6+a^6+z^6 a^4+3 z^4 a^4+5 z^2 a^4+3 a^4-z^4 a^2-z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+11 z^4 a^{10}-3 z^2 a^{10}+4 z^9 a^9-13 z^7 a^9+10 z^5 a^9-4 z^3 a^9+3 z a^9+2 z^{10} a^8-16 z^6 a^8+14 z^4 a^8-z^2 a^8-2 a^8+9 z^9 a^7-30 z^7 a^7+31 z^5 a^7-19 z^3 a^7+6 z a^7+2 z^{10} a^6+2 z^8 a^6-20 z^6 a^6+23 z^4 a^6-9 z^2 a^6-a^6+5 z^9 a^5-14 z^7 a^5+15 z^5 a^5-5 z^3 a^5+5 z^8 a^4-15 z^6 a^4+24 z^4 a^4-14 z^2 a^4+3 a^4+2 z^7 a^3-2 z^5 a^3+6 z^3 a^3-2 z a^3+4 z^4 a^2-3 z^2 a^2+a^2+z^3 a-z a }[/math] |
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