K13n1918
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Polynomial invariants
| Jones polynomial | Data:K13n1918/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+20 t^2-45 t+59-45 t^{-1} +20 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1918/Conway Polynomial |
| Determinant | 197 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-3 z^6+a^4 z^4+5 z^4 a^{-2} -10 z^4+a^4 z^2+3 a^2 z^2+11 z^2 a^{-2} -2 z^2 a^{-4} -14 z^2+3 a^2+7 a^{-2} -2 a^{-4} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+5 z^{10} a^{-2} +12 z^{10}+10 a^3 z^9+15 a z^9+9 z^9 a^{-1} +4 z^9 a^{-3} +8 a^4 z^8-4 a^2 z^8-8 z^8 a^{-2} +z^8 a^{-4} -21 z^8+4 a^5 z^7-19 a^3 z^7-41 a z^7-22 z^7 a^{-1} -4 z^7 a^{-3} +a^6 z^6-16 a^4 z^6-9 a^2 z^6+23 z^6 a^{-2} +6 z^6 a^{-4} +25 z^6-8 a^5 z^5+14 a^3 z^5+42 a z^5+26 z^5 a^{-1} +9 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+10 a^4 z^4+4 a^2 z^4-39 z^4 a^{-2} -13 z^4 a^{-4} -34 z^4+4 a^5 z^3-9 a^3 z^3-24 a z^3-20 z^3 a^{-1} -14 z^3 a^{-3} -5 z^3 a^{-5} +a^6 z^2-3 a^4 z^2+4 a^2 z^2+27 z^2 a^{-2} +8 z^2 a^{-4} +27 z^2+3 a^3 z+6 a z+6 z a^{-1} +5 z a^{-3} +2 z a^{-5} -3 a^2-7 a^{-2} -2 a^{-4} -7 }[/math] |
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