K13a2666
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Polynomial invariants
| Jones polynomial | Data:K13a2666/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-16 t^3+42 t^2-71 t+85-71 t^{-1} +42 t^{-2} -16 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2666/Conway Polynomial |
| Determinant | 349 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-2} +z^8-a^2 z^6+9 z^6 a^{-2} -3 z^6 a^{-4} +3 z^6-3 a^2 z^4+15 z^4 a^{-2} -10 z^4 a^{-4} +z^4 a^{-6} +3 z^4-3 a^2 z^2+10 z^2 a^{-2} -10 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2-a^2+2 a^{-2} -3 a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12} a^{-4} +12 z^{11} a^{-1} +21 z^{11} a^{-3} +9 z^{11} a^{-5} +34 z^{10} a^{-2} +23 z^{10} a^{-4} +10 z^{10} a^{-6} +21 z^{10}+23 a z^9+5 z^9 a^{-1} -37 z^9 a^{-3} -14 z^9 a^{-5} +5 z^9 a^{-7} +18 a^2 z^8-120 z^8 a^{-2} -104 z^8 a^{-4} -33 z^8 a^{-6} +z^8 a^{-8} -32 z^8+10 a^3 z^7-41 a z^7-73 z^7 a^{-1} -35 z^7 a^{-3} -30 z^7 a^{-5} -17 z^7 a^{-7} +4 a^4 z^6-29 a^2 z^6+130 z^6 a^{-2} +126 z^6 a^{-4} +32 z^6 a^{-6} -3 z^6 a^{-8} +6 z^6+a^5 z^5-11 a^3 z^5+31 a z^5+88 z^5 a^{-1} +90 z^5 a^{-3} +64 z^5 a^{-5} +19 z^5 a^{-7} -3 a^4 z^4+25 a^2 z^4-71 z^4 a^{-2} -66 z^4 a^{-4} -10 z^4 a^{-6} +3 z^4 a^{-8} +10 z^4-a^5 z^3+6 a^3 z^3-9 a z^3-44 z^3 a^{-1} -54 z^3 a^{-3} -35 z^3 a^{-5} -9 z^3 a^{-7} -9 a^2 z^2+19 z^2 a^{-2} +20 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} -6 z^2-a^3 z+a z+7 z a^{-1} +10 z a^{-3} +7 z a^{-5} +2 z a^{-7} +a^2-2 a^{-2} -3 a^{-4} - a^{-6} +2 }[/math] |
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