K12a46
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-7 q^3+13 q^2-19 q+24-25 q^{-1} +24 q^{-2} -19 q^{-3} +14 q^{-4} -8 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-38 t+51-38 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+3 z^4+4 z^2+1 }[/math] |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+2 z^2 a^4-z^6 a^2+3 z^2 a^2+3 a^2-z^6-z^4-2 z^2-2+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} -z^2 a^{-4} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+5 a^5 z^9+12 a^3 z^9+13 a z^9+6 z^9 a^{-1} +3 a^6 z^8-5 a^4 z^8-12 a^2 z^8+6 z^8 a^{-2} +2 z^8+a^7 z^7-15 a^5 z^7-45 a^3 z^7-38 a z^7-4 z^7 a^{-1} +5 z^7 a^{-3} -10 a^6 z^6-10 a^4 z^6-4 a^2 z^6-4 z^6 a^{-2} +3 z^6 a^{-4} -11 z^6-4 a^7 z^5+13 a^5 z^5+54 a^3 z^5+42 a z^5-2 z^5 a^{-1} -6 z^5 a^{-3} +z^5 a^{-5} +10 a^6 z^4+12 a^4 z^4+6 a^2 z^4-4 z^4 a^{-2} -5 z^4 a^{-4} +5 z^4+5 a^7 z^3-6 a^5 z^3-34 a^3 z^3-24 a z^3+3 z^3 a^{-1} +2 z^3 a^{-3} -2 z^3 a^{-5} -4 a^6 z^2-3 a^4 z^2+3 a^2 z^2+6 z^2 a^{-2} +3 z^2 a^{-4} +5 z^2-2 a^7 z+2 a^5 z+9 a^3 z+6 a z+z a^{-5} +a^6-3 a^2-2 a^{-2} - a^{-4} -2 }[/math] |
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