K12n770
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+10 q^{10}-17 q^9+22 q^8-26 q^7+25 q^6-21 q^5+16 q^4-8 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+16 t^2-35 t+45-35 t^{-1} +16 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-2 z^4+2 z^2+1 }[/math] |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} -z^6 a^{-8} +3 z^4 a^{-4} -5 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +6 z^2 a^{-4} -4 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-8} +3 z^{10} a^{-10} +8 z^9 a^{-7} +16 z^9 a^{-9} +8 z^9 a^{-11} +8 z^8 a^{-6} +13 z^8 a^{-8} +13 z^8 a^{-10} +8 z^8 a^{-12} +3 z^7 a^{-5} -8 z^7 a^{-7} -26 z^7 a^{-9} -11 z^7 a^{-11} +4 z^7 a^{-13} -11 z^6 a^{-6} -32 z^6 a^{-8} -39 z^6 a^{-10} -17 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +4 z^5 a^{-7} +8 z^5 a^{-9} -z^5 a^{-11} -8 z^5 a^{-13} +6 z^4 a^{-4} +14 z^4 a^{-6} +19 z^4 a^{-8} +25 z^4 a^{-10} +12 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-5} -2 z^3 a^{-7} -4 z^3 a^{-9} +z^3 a^{-11} +5 z^3 a^{-13} -8 z^2 a^{-4} -9 z^2 a^{-6} -z^2 a^{-8} -5 z^2 a^{-10} -4 z^2 a^{-12} +z^2 a^{-14} -2 z a^{-5} +z a^{-7} +5 z a^{-9} +z a^{-11} -z a^{-13} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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