K12a914
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-10+20 q^{-1} -30 q^{-2} +38 q^{-3} -40 q^{-4} +39 q^{-5} -32 q^{-6} +22 q^{-7} -13 q^{-8} +5 q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-25 t^2+59 t-77+59 t^{-1} -25 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 5 z^6+5 z^4+4 z^2+1 }[/math] |
| Determinant | 255 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8+z^6 a^6-z^4 a^6-4 z^2 a^6-3 a^6+3 z^6 a^4+8 z^4 a^4+10 z^2 a^4+5 a^4+z^6 a^2-z^2 a^2-a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-2 z^5 a^{11}+z^3 a^{11}+5 z^8 a^{10}-12 z^6 a^{10}+8 z^4 a^{10}-z^2 a^{10}+11 z^9 a^9-30 z^7 a^9+25 z^5 a^9-8 z^3 a^9+3 z a^9+11 z^{10} a^8-21 z^8 a^8+2 z^6 a^8+6 z^4 a^8-z^2 a^8+4 z^{11} a^7+18 z^9 a^7-70 z^7 a^7+61 z^5 a^7-20 z^3 a^7+2 z a^7+23 z^{10} a^6-44 z^8 a^6+7 z^6 a^6+18 z^4 a^6-14 z^2 a^6+3 a^6+4 z^{11} a^5+24 z^9 a^5-73 z^7 a^5+57 z^5 a^5-13 z^3 a^5-2 z a^5+12 z^{10} a^4-3 z^8 a^4-34 z^6 a^4+43 z^4 a^4-21 z^2 a^4+5 a^4+17 z^9 a^3-25 z^7 a^3+12 z^5 a^3+4 z^3 a^3-2 z a^3+15 z^8 a^2-23 z^6 a^2+19 z^4 a^2-6 z^2 a^2+a^2+9 z^7 a-10 z^5 a+5 z^3 a-z a+4 z^6-4 z^4+z^2+z^5 a^{-1} -z^3 a^{-1} }[/math] |
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