K13n3943
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Polynomial invariants
| Jones polynomial | Data:K13n3943/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-21 t^2+31 t-35+31 t^{-1} -21 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3943/Conway Polynomial |
| Determinant | 163 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-3 z^2 a^{12}-2 a^{12}+3 z^6 a^{10}+13 z^4 a^{10}+17 z^2 a^{10}+7 a^{10}-2 z^8 a^8-12 z^6 a^8-27 z^4 a^8-28 z^2 a^8-11 a^8+3 z^6 a^6+14 z^4 a^6+19 z^2 a^6+7 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-z^3 a^{17}+4 z^6 a^{16}-5 z^4 a^{16}+z^2 a^{16}+8 z^7 a^{15}-12 z^5 a^{15}+5 z^3 a^{15}-z a^{15}+10 z^8 a^{14}-15 z^6 a^{14}+7 z^4 a^{14}-2 z^2 a^{14}+9 z^9 a^{13}-12 z^7 a^{13}+4 z^5 a^{13}-z^3 a^{13}+2 z a^{13}+6 z^{10} a^{12}-5 z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}+2 z^2 a^{12}-2 a^{12}+2 z^{11} a^{11}+9 z^9 a^{11}-38 z^7 a^{11}+55 z^5 a^{11}-34 z^3 a^{11}+8 z a^{11}+11 z^{10} a^{10}-36 z^8 a^{10}+54 z^6 a^{10}-48 z^4 a^{10}+26 z^2 a^{10}-7 a^{10}+2 z^{11} a^9+3 z^9 a^9-27 z^7 a^9+48 z^5 a^9-39 z^3 a^9+11 z a^9+5 z^{10} a^8-21 z^8 a^8+46 z^6 a^8-66 z^4 a^8+45 z^2 a^8-11 a^8+3 z^9 a^7-9 z^7 a^7+10 z^5 a^7-12 z^3 a^7+6 z a^7+6 z^6 a^6-23 z^4 a^6+24 z^2 a^6-7 a^6 }[/math] |
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