K13n3813
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Polynomial invariants
| Jones polynomial | Data:K13n3813/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+28 t-33+28 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3813/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +6 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -3 z^4+a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -7 z^2+2 a^2+ a^{-2} +2 a^{-4} - a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-2 z^9 a^{-1} +6 z^9 a^{-3} +8 z^9 a^{-5} -15 z^8 a^{-2} -3 z^8 a^{-4} +9 z^8 a^{-6} -3 z^8+3 a z^7+7 z^7 a^{-1} -23 z^7 a^{-3} -21 z^7 a^{-5} +6 z^7 a^{-7} +a^2 z^6+27 z^6 a^{-2} -12 z^6 a^{-4} -25 z^6 a^{-6} +3 z^6 a^{-8} +12 z^6-8 a z^5-8 z^5 a^{-1} +38 z^5 a^{-3} +25 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} -4 a^2 z^4-26 z^4 a^{-2} +31 z^4 a^{-4} +31 z^4 a^{-6} -5 z^4 a^{-8} -25 z^4+5 a z^3-7 z^3 a^{-1} -29 z^3 a^{-3} -8 z^3 a^{-5} +7 z^3 a^{-7} -2 z^3 a^{-9} +5 a^2 z^2+6 z^2 a^{-2} -18 z^2 a^{-4} -13 z^2 a^{-6} +16 z^2+5 z a^{-1} +8 z a^{-3} +2 z a^{-5} -z a^{-7} -2 a^2- a^{-2} +2 a^{-4} + a^{-6} -3 }[/math] |
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