K12n731
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+5 q^2-10 q+16-19 q^{-1} +20 q^{-2} -19 q^{-3} +15 q^{-4} -10 q^{-5} +5 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-28 t+39-28 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4-2 z^2+1 }[/math] |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+3 z^4 a^4+5 z^2 a^4+2 a^4-2 z^6 a^2-7 z^4 a^2-10 z^2 a^2-4 a^2+3 z^4+5 z^2+3-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^4 z^{10}+4 a^2 z^{10}+8 a^5 z^9+18 a^3 z^9+10 a z^9+5 a^6 z^8+a^4 z^8+4 a^2 z^8+8 z^8+a^7 z^7-25 a^5 z^7-59 a^3 z^7-31 a z^7+2 z^7 a^{-1} -15 a^6 z^6-37 a^4 z^6-44 a^2 z^6-22 z^6-2 a^7 z^5+18 a^5 z^5+54 a^3 z^5+37 a z^5+3 z^5 a^{-1} +11 a^6 z^4+41 a^4 z^4+56 a^2 z^4+5 z^4 a^{-2} +31 z^4+a^7 z^3-2 a^5 z^3-18 a^3 z^3-18 a z^3-2 z^3 a^{-1} +z^3 a^{-3} -a^6 z^2-14 a^4 z^2-26 a^2 z^2-3 z^2 a^{-2} -16 z^2-a^5 z+a^3 z+3 a z+z a^{-1} +2 a^4+4 a^2+3 }[/math] |
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