K13n4187
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Polynomial invariants
| Jones polynomial | Data:K13n4187/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+12 t^3-28 t^2+42 t-47+42 t^{-1} -28 t^{-2} +12 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4187/Conway Polynomial |
| Determinant | 215 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-3 z^2 a^{12}-a^{12}+3 z^6 a^{10}+11 z^4 a^{10}+11 z^2 a^{10}+3 a^{10}-2 z^8 a^8-10 z^6 a^8-18 z^4 a^8-16 z^2 a^8-6 a^8+3 z^6 a^6+12 z^4 a^6+14 z^2 a^6+5 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}+9 z^7 a^{15}-11 z^5 a^{15}+4 z^3 a^{15}-z a^{15}+15 z^8 a^{14}-27 z^6 a^{14}+22 z^4 a^{14}-6 z^2 a^{14}+17 z^9 a^{13}-35 z^7 a^{13}+32 z^5 a^{13}-10 z^3 a^{13}+z a^{13}+11 z^{10} a^{12}-10 z^8 a^{12}-15 z^6 a^{12}+24 z^4 a^{12}-4 z^2 a^{12}-a^{12}+3 z^{11} a^{11}+20 z^9 a^{11}-69 z^7 a^{11}+74 z^5 a^{11}-31 z^3 a^{11}+3 z a^{11}+17 z^{10} a^{10}-41 z^8 a^{10}+38 z^6 a^{10}-27 z^4 a^{10}+12 z^2 a^{10}-3 a^{10}+3 z^{11} a^9+6 z^9 a^9-28 z^7 a^9+27 z^5 a^9-18 z^3 a^9+5 z a^9+6 z^{10} a^8-16 z^8 a^8+28 z^6 a^8-43 z^4 a^8+27 z^2 a^8-6 a^8+3 z^9 a^7-3 z^7 a^7-3 z^5 a^7-2 z^3 a^7+4 z a^7+6 z^6 a^6-18 z^4 a^6+17 z^2 a^6-5 a^6 }[/math] |
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