K13n1076
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Polynomial invariants
| Jones polynomial | Data:K13n1076/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+14 t-17+14 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1076/Conway Polynomial |
| Determinant | 63 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^2 z^8+a^6 z^6-7 a^4 z^6+9 a^2 z^6-z^6+4 a^6 z^4-20 a^4 z^4+27 a^2 z^4-6 z^4+6 a^6 z^2-26 a^4 z^2+35 a^2 z^2-11 z^2+3 a^6-13 a^4+17 a^2-6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-9 z^5 a^9+7 z^3 a^9-2 z a^9+4 z^8 a^8-10 z^6 a^8+4 z^4 a^8+3 z^9 a^7-5 z^7 a^7-2 z^5 a^7+2 z^3 a^7-z a^7+z^{10} a^6+2 z^8 a^6-8 z^6 a^6+3 z^4 a^6+3 z^2 a^6-3 a^6+4 z^9 a^5-14 z^7 a^5+30 z^5 a^5-34 z^3 a^5+15 z a^5+z^{10} a^4-5 z^8 a^4+19 z^6 a^4-30 z^4 a^4+30 z^2 a^4-13 a^4+2 z^9 a^3-18 z^7 a^3+60 z^5 a^3-69 z^3 a^3+29 z a^3+z^{10} a^2-11 z^8 a^2+36 z^6 a^2-48 z^4 a^2+40 z^2 a^2-17 a^2+2 z^9 a-20 z^7 a+58 z^5 a-62 z^3 a+23 z a+z^{10}-8 z^8+20 z^6-22 z^4+15 z^2-6+z^9 a^{-1} -8 z^7 a^{-1} +21 z^5 a^{-1} -22 z^3 a^{-1} +8 z a^{-1} }[/math] |
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