K12n101
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+4 q^4-10 q^3+16 q^2-21 q+24-22 q^{-1} +20 q^{-2} -13 q^{-3} +7 q^{-4} -3 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+12 t^2-34 t+47-34 t^{-1} +12 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+6 z^4+5 z^2+1 }[/math] |
| Determinant | 141 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+4 a^2 z^4+2 z^4 a^{-2} -3 a^4 z^2+7 a^2 z^2-z^2 a^{-4} +2 z^2-3 a^4+4 a^2-2 a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+5 a^3 z^9+12 a z^9+7 z^9 a^{-1} +3 a^4 z^8+9 a^2 z^8+11 z^8 a^{-2} +17 z^8-11 a^3 z^7-17 a z^7+3 z^7 a^{-1} +9 z^7 a^{-3} -3 a^4 z^6-25 a^2 z^6-16 z^6 a^{-2} +4 z^6 a^{-4} -42 z^6+6 a^5 z^5+22 a^3 z^5+5 a z^5-26 z^5 a^{-1} -14 z^5 a^{-3} +z^5 a^{-5} -a^4 z^4+20 a^2 z^4+9 z^4 a^{-2} -4 z^4 a^{-4} +34 z^4-14 a^5 z^3-30 a^3 z^3-5 a z^3+22 z^3 a^{-1} +10 z^3 a^{-3} -z^3 a^{-5} +3 a^4 z^2-4 a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} -13 z^2+8 a^5 z+14 a^3 z+5 a z-5 z a^{-1} -4 z a^{-3} -3 a^4-4 a^2+2 a^{-2} +2 }[/math] |
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