K13n4088
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Polynomial invariants
| Jones polynomial | Data:K13n4088/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-30 t+37-30 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4088/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -2 z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -7 z^4 a^{-8} +3 z^4 a^{-10} +5 z^2 a^{-4} +2 z^2 a^{-6} -10 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} +2 a^{-6} -6 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +5 z^{10} a^{-8} +10 z^{10} a^{-10} +5 z^{10} a^{-12} +5 z^9 a^{-7} +2 z^9 a^{-9} +3 z^9 a^{-11} +6 z^9 a^{-13} +3 z^8 a^{-6} -17 z^8 a^{-8} -37 z^8 a^{-10} -13 z^8 a^{-12} +4 z^8 a^{-14} +z^7 a^{-5} -16 z^7 a^{-7} -24 z^7 a^{-9} -28 z^7 a^{-11} -20 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-6} +29 z^6 a^{-8} +54 z^6 a^{-10} +5 z^6 a^{-12} -14 z^6 a^{-14} +z^5 a^{-5} +25 z^5 a^{-7} +46 z^5 a^{-9} +42 z^5 a^{-11} +17 z^5 a^{-13} -3 z^5 a^{-15} +3 z^4 a^{-4} +6 z^4 a^{-6} -25 z^4 a^{-8} -41 z^4 a^{-10} -z^4 a^{-12} +12 z^4 a^{-14} -3 z^3 a^{-5} -12 z^3 a^{-7} -33 z^3 a^{-9} -32 z^3 a^{-11} -6 z^3 a^{-13} +2 z^3 a^{-15} -7 z^2 a^{-4} +z^2 a^{-6} +21 z^2 a^{-8} +15 z^2 a^{-10} +z^2 a^{-12} -z^2 a^{-14} -z a^{-5} +4 z a^{-7} +10 z a^{-9} +7 z a^{-11} +2 z a^{-13} +2 a^{-4} -2 a^{-6} -6 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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