K12a880
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-3 q^{13}+6 q^{12}-12 q^{11}+17 q^{10}-22 q^9+25 q^8-24 q^7+21 q^6-15 q^5+10 q^4-4 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 12 t^2-40 t+57-40 t^{-1} +12 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 12 z^4+8 z^2+1 }[/math] |
| Determinant | 161 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +4 z^4 a^{-6} +5 z^4 a^{-8} +2 z^4 a^{-10} +5 z^2 a^{-6} +7 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} + a^{-6} +3 a^{-8} -2 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +5 z^{10} a^{-10} +8 z^{10} a^{-12} +3 z^{10} a^{-14} +11 z^9 a^{-9} +16 z^9 a^{-11} +8 z^9 a^{-13} +3 z^9 a^{-15} +16 z^8 a^{-8} +9 z^8 a^{-10} -17 z^8 a^{-12} -9 z^8 a^{-14} +z^8 a^{-16} +15 z^7 a^{-7} -8 z^7 a^{-9} -53 z^7 a^{-11} -45 z^7 a^{-13} -15 z^7 a^{-15} +10 z^6 a^{-6} -25 z^6 a^{-8} -48 z^6 a^{-10} -7 z^6 a^{-12} +z^6 a^{-14} -5 z^6 a^{-16} +4 z^5 a^{-5} -19 z^5 a^{-7} -20 z^5 a^{-9} +46 z^5 a^{-11} +69 z^5 a^{-13} +26 z^5 a^{-15} +z^4 a^{-4} -9 z^4 a^{-6} +14 z^4 a^{-8} +40 z^4 a^{-10} +22 z^4 a^{-12} +14 z^4 a^{-14} +8 z^4 a^{-16} +7 z^3 a^{-7} +15 z^3 a^{-9} -17 z^3 a^{-11} -43 z^3 a^{-13} -18 z^3 a^{-15} +5 z^2 a^{-6} -10 z^2 a^{-8} -14 z^2 a^{-10} -2 z^2 a^{-12} -7 z^2 a^{-14} -4 z^2 a^{-16} -4 z a^{-9} +4 z a^{-11} +12 z a^{-13} +4 z a^{-15} - a^{-6} +3 a^{-8} +2 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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