K13n3008
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Polynomial invariants
| Jones polynomial | Data:K13n3008/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-18 t^2+26 t-29+26 t^{-1} -18 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3008/Conway Polynomial |
| Determinant | 135 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-3 z^2 a^{12}-a^{12}+2 z^6 a^{10}+7 z^4 a^{10}+5 z^2 a^{10}-a^{10}-z^8 a^8-4 z^6 a^8-4 z^4 a^8+2 a^8+2 z^6 a^6+8 z^4 a^6+8 z^2 a^6+a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-2 z^3 a^{17}+z a^{17}+3 z^6 a^{16}-5 z^4 a^{16}+2 z^2 a^{16}+5 z^7 a^{15}-7 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+6 z^8 a^{14}-7 z^6 a^{14}+2 z^4 a^{14}+6 z^9 a^{13}-9 z^7 a^{13}+9 z^5 a^{13}-6 z^3 a^{13}+3 z a^{13}+4 z^{10} a^{12}-4 z^8 a^{12}+3 z^6 a^{12}-4 z^4 a^{12}+5 z^2 a^{12}-a^{12}+z^{11} a^{11}+8 z^9 a^{11}-26 z^7 a^{11}+32 z^5 a^{11}-16 z^3 a^{11}+3 z a^{11}+6 z^{10} a^{10}-13 z^8 a^{10}+9 z^6 a^{10}-5 z^2 a^{10}+a^{10}+z^{11} a^9+3 z^9 a^9-11 z^7 a^9+6 z^5 a^9+z^3 a^9-2 z a^9+2 z^{10} a^8-3 z^8 a^8-z^6 a^8+z^4 a^8-4 z^2 a^8+2 a^8+z^9 a^7+z^7 a^7-9 z^5 a^7+6 z^3 a^7+3 z^6 a^6-10 z^4 a^6+8 z^2 a^6-a^6 }[/math] |
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