K12a450
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+5 q-11+19 q^{-1} -27 q^{-2} +32 q^{-3} -32 q^{-4} +30 q^{-5} -23 q^{-6} +15 q^{-7} -8 q^{-8} +3 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-16 t^2+50 t-71+50 t^{-1} -16 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-4 z^4+4 z^2+1 }[/math] |
| Determinant | 207 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+a^8-3 z^4 a^6-z^2 a^6+z^6 a^4-z^4 a^4-z^2 a^4+z^6 a^2+z^4 a^2+3 z^2 a^2+a^2-z^4 }[/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}-10 z^6 a^{10}+10 z^4 a^{10}-4 z^2 a^{10}+a^{10}+5 z^9 a^9-14 z^7 a^9+12 z^5 a^9-6 z^3 a^9+2 z a^9+5 z^{10} a^8-8 z^8 a^8-5 z^6 a^8+13 z^4 a^8-8 z^2 a^8+a^8+2 z^{11} a^7+11 z^9 a^7-45 z^7 a^7+55 z^5 a^7-31 z^3 a^7+6 z a^7+13 z^{10} a^6-22 z^8 a^6-4 z^6 a^6+24 z^4 a^6-12 z^2 a^6+2 z^{11} a^5+20 z^9 a^5-56 z^7 a^5+48 z^5 a^5-15 z^3 a^5+2 z a^5+8 z^{10} a^4+4 z^8 a^4-33 z^6 a^4+28 z^4 a^4-6 z^2 a^4+14 z^9 a^3-15 z^7 a^3-5 z^5 a^3+8 z^3 a^3+15 z^8 a^2-19 z^6 a^2+3 z^4 a^2+2 z^2 a^2-a^2+11 z^7 a-13 z^5 a+3 z^3 a+5 z^6-4 z^4+z^5 a^{-1} }[/math] |
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