K13n3037
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Polynomial invariants
| Jones polynomial | Data:K13n3037/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+9 t^3-23 t^2+36 t-41+36 t^{-1} -23 t^{-2} +9 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3037/Conway Polynomial |
| Determinant | 179 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-2 z^2 a^{12}+2 z^6 a^{10}+5 z^4 a^{10}-3 a^{10}-z^8 a^8-3 z^6 a^8+5 z^2 a^8+3 a^8+2 z^6 a^6+7 z^4 a^6+6 z^2 a^6+a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-z^3 a^{17}+4 z^6 a^{16}-4 z^4 a^{16}+z^2 a^{16}+9 z^7 a^{15}-13 z^5 a^{15}+9 z^3 a^{15}-3 z a^{15}+12 z^8 a^{14}-17 z^6 a^{14}+10 z^4 a^{14}-3 z^2 a^{14}+10 z^9 a^{13}-6 z^7 a^{13}-11 z^5 a^{13}+11 z^3 a^{13}-2 z a^{13}+5 z^{10} a^{12}+10 z^8 a^{12}-33 z^6 a^{12}+22 z^4 a^{12}-3 z^2 a^{12}+z^{11} a^{11}+16 z^9 a^{11}-31 z^7 a^{11}+9 z^5 a^{11}+8 z^3 a^{11}-4 z a^{11}+7 z^{10} a^{10}-28 z^6 a^{10}+29 z^4 a^{10}-13 z^2 a^{10}+3 a^{10}+z^{11} a^9+7 z^9 a^9-13 z^7 a^9-5 z^5 a^9+13 z^3 a^9-5 z a^9+2 z^{10} a^8+2 z^8 a^8-13 z^6 a^8+13 z^4 a^8-8 z^2 a^8+3 a^8+z^9 a^7+3 z^7 a^7-11 z^5 a^7+6 z^3 a^7+3 z^6 a^6-8 z^4 a^6+6 z^2 a^6-a^6 }[/math] |
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