K13a4503
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Polynomial invariants
| Jones polynomial | Data:K13a4503/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-15 t^3+52 t^2-106 t+135-106 t^{-1} +52 t^{-2} -15 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a4503/Conway Polynomial |
| Determinant | 485 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+3 a^2 z^6-2 z^6 a^{-2} +z^6-2 a^4 z^4+7 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -z^4-3 a^4 z^2+7 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -3 z^2-a^4+3 a^2- a^{-2} + a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 a^2 z^{12}+5 z^{12}+16 a^3 z^{11}+34 a z^{11}+18 z^{11} a^{-1} +20 a^4 z^{10}+43 a^2 z^{10}+28 z^{10} a^{-2} +51 z^{10}+13 a^5 z^9-9 a^3 z^9-37 a z^9+10 z^9 a^{-1} +25 z^9 a^{-3} +5 a^6 z^8-44 a^4 z^8-129 a^2 z^8-39 z^8 a^{-2} +14 z^8 a^{-4} -133 z^8+a^7 z^7-29 a^5 z^7-41 a^3 z^7-46 a z^7-83 z^7 a^{-1} -43 z^7 a^{-3} +5 z^7 a^{-5} -10 a^6 z^6+39 a^4 z^6+125 a^2 z^6+11 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +108 z^6-2 a^7 z^5+25 a^5 z^5+53 a^3 z^5+71 a z^5+86 z^5 a^{-1} +36 z^5 a^{-3} -5 z^5 a^{-5} +6 a^6 z^4-22 a^4 z^4-67 a^2 z^4+10 z^4 a^{-2} +14 z^4 a^{-4} -z^4 a^{-6} -44 z^4+a^7 z^3-11 a^5 z^3-25 a^3 z^3-34 a z^3-37 z^3 a^{-1} -15 z^3 a^{-3} +z^3 a^{-5} -a^6 z^2+9 a^4 z^2+22 a^2 z^2-7 z^2 a^{-2} -5 z^2 a^{-4} +10 z^2+2 a^5 z+5 a^3 z+6 a z+6 z a^{-1} +3 z a^{-3} -a^4-3 a^2+ a^{-2} + a^{-4} -1 }[/math] |
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