K13a3995
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Polynomial invariants
| Jones polynomial | Data:K13a3995/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-16 t^3+43 t^2-75 t+91-75 t^{-1} +43 t^{-2} -16 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3995/Conway Polynomial |
| Determinant | 365 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 a^2 z^8+z^8-3 a^4 z^6+9 a^2 z^6-z^6 a^{-2} +3 z^6+a^6 z^4-10 a^4 z^4+16 a^2 z^4-3 z^4 a^{-2} +3 z^4+2 a^6 z^2-11 a^4 z^2+13 a^2 z^2-3 z^2 a^{-2} +a^6-4 a^4+5 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^4 z^{12}+4 a^2 z^{12}+10 a^5 z^{11}+25 a^3 z^{11}+15 a z^{11}+10 a^6 z^{10}+18 a^4 z^{10}+33 a^2 z^{10}+25 z^{10}+5 a^7 z^9-20 a^5 z^9-58 a^3 z^9-7 a z^9+26 z^9 a^{-1} +a^8 z^8-32 a^6 z^8-90 a^4 z^8-124 a^2 z^8+19 z^8 a^{-2} -48 z^8-17 a^7 z^7-10 a^5 z^7+18 a^3 z^7-51 a z^7-52 z^7 a^{-1} +10 z^7 a^{-3} -3 a^8 z^6+30 a^6 z^6+108 a^4 z^6+141 a^2 z^6-31 z^6 a^{-2} +4 z^6 a^{-4} +31 z^6+19 a^7 z^5+31 a^5 z^5+19 a^3 z^5+65 a z^5+47 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +3 a^8 z^4-8 a^6 z^4-61 a^4 z^4-86 a^2 z^4+26 z^4 a^{-2} -3 z^4 a^{-4} -7 z^4-7 a^7 z^3-11 a^5 z^3-13 a^3 z^3-31 a z^3-17 z^3 a^{-1} +4 z^3 a^{-3} -z^3 a^{-5} -a^8 z^2+2 a^6 z^2+23 a^4 z^2+29 a^2 z^2-7 z^2 a^{-2} +2 z^2+a^5 z+3 a^3 z+4 a z+2 z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math] |
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