K13a2774
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Polynomial invariants
| Jones polynomial | Data:K13a2774/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+18 t^3-37 t^2+56 t-63+56 t^{-1} -37 t^{-2} +18 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a2774/Conway Polynomial |
| Determinant | 299 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-2 a^4 z^8+7 a^2 z^8-z^8+a^6 z^6-11 a^4 z^6+20 a^2 z^6-5 z^6+4 a^6 z^4-22 a^4 z^4+28 a^2 z^4-9 z^4+5 a^6 z^2-18 a^4 z^2+18 a^2 z^2-6 z^2+2 a^6-5 a^4+4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+7 a^5 z^{11}+14 a^3 z^{11}+7 a z^{11}+11 a^6 z^{10}+19 a^4 z^{10}+18 a^2 z^{10}+10 z^{10}+11 a^7 z^9-25 a^3 z^9-6 a z^9+8 z^9 a^{-1} +8 a^8 z^8-18 a^6 z^8-63 a^4 z^8-67 a^2 z^8+4 z^8 a^{-2} -26 z^8+4 a^9 z^7-20 a^7 z^7-22 a^5 z^7+6 a^3 z^7-20 a z^7-23 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-15 a^8 z^6+16 a^6 z^6+91 a^4 z^6+93 a^2 z^6-12 z^6 a^{-2} +22 z^6-8 a^9 z^5+15 a^7 z^5+34 a^5 z^5+19 a^3 z^5+31 a z^5+20 z^5 a^{-1} -3 z^5 a^{-3} -2 a^{10} z^4+8 a^8 z^4-14 a^6 z^4-71 a^4 z^4-69 a^2 z^4+10 z^4 a^{-2} -12 z^4+4 a^9 z^3-9 a^7 z^3-22 a^5 z^3-15 a^3 z^3-16 a z^3-8 z^3 a^{-1} +2 z^3 a^{-3} +a^{10} z^2-a^8 z^2+8 a^6 z^2+30 a^4 z^2+27 a^2 z^2-3 z^2 a^{-2} +4 z^2+3 a^7 z+5 a^5 z+3 a^3 z+2 a z+z a^{-1} -2 a^6-5 a^4-4 a^2 }[/math] |
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