K13a1043
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Polynomial invariants
| Jones polynomial | Data:K13a1043/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+20 t^2-23 t+23-23 t^{-1} +20 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1043/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -2 z^6 a^{-2} +4 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -9 z^4 a^{-2} +3 z^4 a^{-4} +9 z^4 a^{-6} -4 z^4 a^{-8} +z^4-10 z^2 a^{-2} -z^2 a^{-4} +10 z^2 a^{-6} -4 z^2 a^{-8} +4 z^2-3 a^{-2} -2 a^{-4} +5 a^{-6} -2 a^{-8} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-4} +z^{12} a^{-6} +2 z^{11} a^{-3} +6 z^{11} a^{-5} +4 z^{11} a^{-7} +2 z^{10} a^{-2} +4 z^{10} a^{-6} +6 z^{10} a^{-8} +2 z^9 a^{-1} -7 z^9 a^{-3} -31 z^9 a^{-5} -16 z^9 a^{-7} +6 z^9 a^{-9} -6 z^8 a^{-2} -14 z^8 a^{-4} -37 z^8 a^{-6} -24 z^8 a^{-8} +6 z^8 a^{-10} +z^8-10 z^7 a^{-1} +7 z^7 a^{-3} +66 z^7 a^{-5} +27 z^7 a^{-7} -17 z^7 a^{-9} +5 z^7 a^{-11} -5 z^6 a^{-2} +31 z^6 a^{-4} +91 z^6 a^{-6} +43 z^6 a^{-8} -15 z^6 a^{-10} +3 z^6 a^{-12} -6 z^6+14 z^5 a^{-1} -13 z^5 a^{-3} -74 z^5 a^{-5} -16 z^5 a^{-7} +19 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} +22 z^4 a^{-2} -36 z^4 a^{-4} -97 z^4 a^{-6} -31 z^4 a^{-8} +14 z^4 a^{-10} -6 z^4 a^{-12} +12 z^4-5 z^3 a^{-1} +19 z^3 a^{-3} +37 z^3 a^{-5} +2 z^3 a^{-7} -3 z^3 a^{-9} +6 z^3 a^{-11} -2 z^3 a^{-13} -15 z^2 a^{-2} +19 z^2 a^{-4} +40 z^2 a^{-6} +12 z^2 a^{-8} -3 z^2 a^{-10} +z^2 a^{-12} -10 z^2-z a^{-1} -7 z a^{-3} -8 z a^{-5} -z a^{-7} -z a^{-11} +3 a^{-2} -2 a^{-4} -5 a^{-6} -2 a^{-8} +3 }[/math] |
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