K13a1137
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Polynomial invariants
| Jones polynomial | Data:K13a1137/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -8 t^3+44 t^2-100 t+129-100 t^{-1} +44 t^{-2} -8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1137/Conway Polynomial |
| Determinant | 433 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -4 z^6 a^{-6} -3 z^6 a^{-8} +z^4 a^{-2} +2 z^4 a^{-4} -7 z^4 a^{-6} -4 z^4 a^{-8} +4 z^4 a^{-10} +z^2 a^{-2} +5 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-8} +3 z^{12} a^{-10} +12 z^{11} a^{-7} +24 z^{11} a^{-9} +12 z^{11} a^{-11} +19 z^{10} a^{-6} +44 z^{10} a^{-8} +44 z^{10} a^{-10} +19 z^{10} a^{-12} +17 z^9 a^{-5} +14 z^9 a^{-7} -5 z^9 a^{-9} +13 z^9 a^{-11} +15 z^9 a^{-13} +10 z^8 a^{-4} -26 z^8 a^{-6} -114 z^8 a^{-8} -118 z^8 a^{-10} -34 z^8 a^{-12} +6 z^8 a^{-14} +4 z^7 a^{-3} -31 z^7 a^{-5} -79 z^7 a^{-7} -103 z^7 a^{-9} -94 z^7 a^{-11} -34 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -17 z^6 a^{-4} +9 z^6 a^{-6} +99 z^6 a^{-8} +89 z^6 a^{-10} +6 z^6 a^{-12} -11 z^6 a^{-14} -6 z^5 a^{-3} +31 z^5 a^{-5} +98 z^5 a^{-7} +134 z^5 a^{-9} +98 z^5 a^{-11} +24 z^5 a^{-13} -z^5 a^{-15} -2 z^4 a^{-2} +15 z^4 a^{-4} +11 z^4 a^{-6} -38 z^4 a^{-8} -28 z^4 a^{-10} +9 z^4 a^{-12} +5 z^4 a^{-14} +2 z^3 a^{-3} -15 z^3 a^{-5} -50 z^3 a^{-7} -64 z^3 a^{-9} -36 z^3 a^{-11} -5 z^3 a^{-13} +z^2 a^{-2} -9 z^2 a^{-4} -7 z^2 a^{-6} +8 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +2 z a^{-5} +10 z a^{-7} +10 z a^{-9} +2 z a^{-11} +2 a^{-4} - a^{-8} }[/math] |
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