K12a900
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{15}-4 q^{14}+10 q^{13}-20 q^{12}+29 q^{11}-37 q^{10}+40 q^9-37 q^8+31 q^7-21 q^6+12 q^5-4 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 8 t^3-29 t^2+54 t-65+54 t^{-1} -29 t^{-2} +8 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 8 z^6+19 z^4+10 z^2+1 }[/math] |
| Determinant | 247 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +4 z^6 a^{-8} +3 z^6 a^{-10} +2 z^4 a^{-6} +13 z^4 a^{-8} +8 z^4 a^{-10} -4 z^4 a^{-12} +z^2 a^{-6} +12 z^2 a^{-8} +6 z^2 a^{-10} -10 z^2 a^{-12} +z^2 a^{-14} +3 a^{-8} +2 a^{-10} -6 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-11} +3 z^{11} a^{-13} +10 z^{10} a^{-10} +19 z^{10} a^{-12} +9 z^{10} a^{-14} +13 z^9 a^{-9} +23 z^9 a^{-11} +21 z^9 a^{-13} +11 z^9 a^{-15} +10 z^8 a^{-8} -6 z^8 a^{-10} -30 z^8 a^{-12} -6 z^8 a^{-14} +8 z^8 a^{-16} +4 z^7 a^{-7} -22 z^7 a^{-9} -66 z^7 a^{-11} -63 z^7 a^{-13} -19 z^7 a^{-15} +4 z^7 a^{-17} +z^6 a^{-6} -21 z^6 a^{-8} -14 z^6 a^{-10} +13 z^6 a^{-12} -10 z^6 a^{-14} -14 z^6 a^{-16} +z^6 a^{-18} -6 z^5 a^{-7} +10 z^5 a^{-9} +67 z^5 a^{-11} +72 z^5 a^{-13} +13 z^5 a^{-15} -8 z^5 a^{-17} -2 z^4 a^{-6} +21 z^4 a^{-8} +10 z^4 a^{-10} -11 z^4 a^{-12} +11 z^4 a^{-14} +7 z^4 a^{-16} -2 z^4 a^{-18} +2 z^3 a^{-7} -z^3 a^{-9} -37 z^3 a^{-11} -44 z^3 a^{-13} -5 z^3 a^{-15} +5 z^3 a^{-17} +z^2 a^{-6} -14 z^2 a^{-8} +z^2 a^{-10} +17 z^2 a^{-12} -z^2 a^{-14} -z^2 a^{-16} +z^2 a^{-18} -z a^{-9} +10 z a^{-11} +12 z a^{-13} -z a^{-17} +3 a^{-8} -2 a^{-10} -6 a^{-12} -2 a^{-14} }[/math] |
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