K13n4656
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Polynomial invariants
| Jones polynomial | Data:K13n4656/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-44 t+55-44 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4656/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -3 z^6+2 a^2 z^4+12 z^4 a^{-2} -3 z^4 a^{-4} -10 z^4+3 a^2 z^2+13 z^2 a^{-2} -4 z^2 a^{-4} -11 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-1} +4 z^{11} a^{-3} +19 z^{10} a^{-2} +9 z^{10} a^{-4} +10 z^{10}+10 a z^9+6 z^9 a^{-1} +4 z^9 a^{-3} +8 z^9 a^{-5} +5 a^2 z^8-57 z^8 a^{-2} -26 z^8 a^{-4} +4 z^8 a^{-6} -22 z^8+a^3 z^7-16 a z^7-27 z^7 a^{-1} -36 z^7 a^{-3} -25 z^7 a^{-5} +z^7 a^{-7} +4 a^2 z^6+74 z^6 a^{-2} +27 z^6 a^{-4} -12 z^6 a^{-6} +39 z^6+9 a^3 z^5+20 a z^5+27 z^5 a^{-1} +44 z^5 a^{-3} +25 z^5 a^{-5} -3 z^5 a^{-7} +3 a^4 z^4-9 a^2 z^4-63 z^4 a^{-2} -20 z^4 a^{-4} +9 z^4 a^{-6} -46 z^4-8 a^3 z^3-14 a z^3-17 z^3 a^{-1} -25 z^3 a^{-3} -12 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+5 a^2 z^2+28 z^2 a^{-2} +10 z^2 a^{-4} -z^2 a^{-6} +23 z^2+a^3 z+3 a z+5 z a^{-1} +6 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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