K13n3842
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Polynomial invariants
| Jones polynomial | Data:K13n3842/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+3 t-3+3 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n3842/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8 a^{-4} +7 z^6 a^{-2} -7 z^6 a^{-4} +z^6 a^{-6} -z^6+16 z^4 a^{-2} -17 z^4 a^{-4} +4 z^4 a^{-6} -4 z^4+14 z^2 a^{-2} -16 z^2 a^{-4} +5 z^2 a^{-6} -4 z^2+4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +7 z^{10} a^{-2} +5 z^{10} a^{-4} +z^{10} a^{-6} +3 z^{10}+a z^9-10 z^9 a^{-1} -9 z^9 a^{-3} +5 z^9 a^{-5} +3 z^9 a^{-7} -50 z^8 a^{-2} -37 z^8 a^{-4} -3 z^8 a^{-6} +4 z^8 a^{-8} -20 z^8-6 a z^7+4 z^7 a^{-1} -10 z^7 a^{-3} -36 z^7 a^{-5} -13 z^7 a^{-7} +3 z^7 a^{-9} +107 z^6 a^{-2} +77 z^6 a^{-4} -4 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +42 z^6+11 a z^5+26 z^5 a^{-1} +59 z^5 a^{-3} +70 z^5 a^{-5} +16 z^5 a^{-7} -10 z^5 a^{-9} -89 z^4 a^{-2} -63 z^4 a^{-4} +6 z^4 a^{-6} +12 z^4 a^{-8} -3 z^4 a^{-10} -35 z^4-8 a z^3-29 z^3 a^{-1} -51 z^3 a^{-3} -49 z^3 a^{-5} -14 z^3 a^{-7} +5 z^3 a^{-9} +30 z^2 a^{-2} +27 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} +10 z^2+2 a z+7 z a^{-1} +12 z a^{-3} +12 z a^{-5} +5 z a^{-7} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math] |
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