K13a1144
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Polynomial invariants
| Jones polynomial | Data:K13a1144/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+26 t^2-68 t+93-68 t^{-1} +26 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1144/Conway Polynomial |
| Determinant | 289 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -z^6 a^{-4} -z^6+2 a^2 z^4-2 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} +2 z^4-a^4 z^2-z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +4 z^2-a^2-2 a^{-4} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +8 z^{11} a^{-1} +14 z^{11} a^{-3} +6 z^{11} a^{-5} +22 z^{10} a^{-2} +15 z^{10} a^{-4} +7 z^{10} a^{-6} +14 z^{10}+16 a z^9+4 z^9 a^{-1} -26 z^9 a^{-3} -10 z^9 a^{-5} +4 z^9 a^{-7} +14 a^2 z^8-73 z^8 a^{-2} -69 z^8 a^{-4} -25 z^8 a^{-6} +z^8 a^{-8} -16 z^8+9 a^3 z^7-22 a z^7-43 z^7 a^{-1} -15 z^7 a^{-3} -19 z^7 a^{-5} -16 z^7 a^{-7} +4 a^4 z^6-20 a^2 z^6+70 z^6 a^{-2} +84 z^6 a^{-4} +27 z^6 a^{-6} -4 z^6 a^{-8} -7 z^6+a^5 z^5-11 a^3 z^5+8 a z^5+42 z^5 a^{-1} +42 z^5 a^{-3} +41 z^5 a^{-5} +21 z^5 a^{-7} -4 a^4 z^4+14 a^2 z^4-31 z^4 a^{-2} -45 z^4 a^{-4} -11 z^4 a^{-6} +5 z^4 a^{-8} +16 z^4-a^5 z^3+6 a^3 z^3+2 a z^3-15 z^3 a^{-1} -21 z^3 a^{-3} -22 z^3 a^{-5} -11 z^3 a^{-7} +a^4 z^2-5 a^2 z^2+6 z^2 a^{-2} +14 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} -9 z^2-a^3 z-a z+z a^{-1} +3 z a^{-3} +4 z a^{-5} +2 z a^{-7} +a^2-2 a^{-4} - a^{-6} +3 }[/math] |
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