K12a320
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-4 q^{13}+8 q^{12}-14 q^{11}+19 q^{10}-23 q^9+24 q^8-22 q^7+19 q^6-12 q^5+7 q^4-3 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 12 t^2-39 t+55-39 t^{-1} +12 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 12 z^4+9 z^2+1 }[/math] |
| Determinant | 157 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +3 z^4 a^{-6} +5 z^4 a^{-8} +3 z^4 a^{-10} +z^2 a^{-4} +3 z^2 a^{-6} +7 z^2 a^{-8} +2 z^2 a^{-10} -4 z^2 a^{-12} + a^{-6} +2 a^{-8} -3 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-11} +2 z^{11} a^{-13} +7 z^{10} a^{-10} +12 z^{10} a^{-12} +5 z^{10} a^{-14} +11 z^9 a^{-9} +13 z^9 a^{-11} +6 z^9 a^{-13} +4 z^9 a^{-15} +12 z^8 a^{-8} -7 z^8 a^{-10} -38 z^8 a^{-12} -18 z^8 a^{-14} +z^8 a^{-16} +9 z^7 a^{-7} -21 z^7 a^{-9} -62 z^7 a^{-11} -50 z^7 a^{-13} -18 z^7 a^{-15} +6 z^6 a^{-6} -24 z^6 a^{-8} -21 z^6 a^{-10} +27 z^6 a^{-12} +14 z^6 a^{-14} -4 z^6 a^{-16} +3 z^5 a^{-5} -11 z^5 a^{-7} +6 z^5 a^{-9} +72 z^5 a^{-11} +78 z^5 a^{-13} +26 z^5 a^{-15} +z^4 a^{-4} -6 z^4 a^{-6} +20 z^4 a^{-8} +24 z^4 a^{-10} -3 z^4 a^{-12} +5 z^4 a^{-14} +5 z^4 a^{-16} -2 z^3 a^{-5} +5 z^3 a^{-7} +4 z^3 a^{-9} -36 z^3 a^{-11} -46 z^3 a^{-13} -13 z^3 a^{-15} -z^2 a^{-4} +4 z^2 a^{-6} -8 z^2 a^{-8} -7 z^2 a^{-10} +4 z^2 a^{-12} -4 z^2 a^{-14} -2 z^2 a^{-16} -2 z a^{-9} +7 z a^{-11} +11 z a^{-13} +2 z a^{-15} - a^{-6} +2 a^{-8} -3 a^{-12} - a^{-14} }[/math] |
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