K13n132
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Polynomial invariants
| Jones polynomial | Data:K13n132/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-16 t^2+25 t-29+25 t^{-1} -16 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n132/Conway Polynomial |
| Determinant | 127 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-3 z^2 a^{12}-2 a^{12}+2 z^6 a^{10}+8 z^4 a^{10}+10 z^2 a^{10}+4 a^{10}-z^8 a^8-5 z^6 a^8-10 z^4 a^8-11 z^2 a^8-5 a^8+2 z^6 a^6+9 z^4 a^6+12 z^2 a^6+4 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}-8 z^6 a^{14}+5 z^4 a^{14}-2 z^2 a^{14}+5 z^9 a^{13}-4 z^7 a^{13}-z^5 a^{13}+3 z^3 a^{13}+3 z^{10} a^{12}-2 z^6 a^{12}-3 z^4 a^{12}+7 z^2 a^{12}-2 a^{12}+z^{11} a^{11}+4 z^9 a^{11}-7 z^7 a^{11}+2 z^5 a^{11}+z^3 a^{11}+5 z^{10} a^{10}-13 z^8 a^{10}+24 z^6 a^{10}-32 z^4 a^{10}+18 z^2 a^{10}-4 a^{10}+z^{11} a^9+z^7 a^9-7 z^5 a^9+3 z^3 a^9-z a^9+2 z^{10} a^8-7 z^8 a^8+18 z^6 a^8-31 z^4 a^8+21 z^2 a^8-5 a^8+z^9 a^7-z^7 a^7-2 z^5 a^7+z a^7+3 z^6 a^6-12 z^4 a^6+14 z^2 a^6-4 a^6 }[/math] |
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