K13n3875
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Polynomial invariants
| Jones polynomial | Data:K13n3875/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-4 t^2+3 t-3+3 t^{-1} -4 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3875/Conway Polynomial |
| Determinant | 27 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+z^6 a^{10}+6 z^4 a^{10}+10 z^2 a^{10}+5 a^{10}-z^8 a^8-7 z^6 a^8-17 z^4 a^8-18 z^2 a^8-7 a^8+2 z^6 a^6+11 z^4 a^6+16 z^2 a^6+5 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{15}-2 z a^{15}+z^4 a^{14}-z^2 a^{14}+z^5 a^{13}-z^3 a^{13}+z a^{13}+2 z^6 a^{12}-7 z^4 a^{12}+10 z^2 a^{12}-2 a^{12}+z^9 a^{11}-6 z^7 a^{11}+14 z^5 a^{11}-12 z^3 a^{11}+3 z a^{11}+z^{10} a^{10}-7 z^8 a^{10}+21 z^6 a^{10}-32 z^4 a^{10}+22 z^2 a^{10}-5 a^{10}+2 z^9 a^9-11 z^7 a^9+21 z^5 a^9-17 z^3 a^9+2 z a^9+z^{10} a^8-7 z^8 a^8+22 z^6 a^8-39 z^4 a^8+30 z^2 a^8-7 a^8+z^9 a^7-5 z^7 a^7+8 z^5 a^7-7 z^3 a^7+2 z a^7+3 z^6 a^6-15 z^4 a^6+19 z^2 a^6-5 a^6 }[/math] |
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