K13n3708
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Polynomial invariants
| Jones polynomial | Data:K13n3708/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+41 t-53+41 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3708/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} +5 z^4 a^{-4} -z^4 a^{-8} -4 z^2 a^{-2} +6 z^2 a^{-4} -3 z^2 a^{-6} +z^2- a^{-2} +3 a^{-4} -3 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +12 z^{10} a^{-6} +7 z^{10} a^{-8} +5 z^9 a^{-3} +10 z^9 a^{-5} +14 z^9 a^{-7} +9 z^9 a^{-9} +2 z^8 a^{-2} -6 z^8 a^{-4} -23 z^8 a^{-6} -10 z^8 a^{-8} +5 z^8 a^{-10} -12 z^7 a^{-3} -37 z^7 a^{-5} -52 z^7 a^{-7} -26 z^7 a^{-9} +z^7 a^{-11} -2 z^6 a^{-2} -2 z^6 a^{-4} -14 z^6 a^{-8} -14 z^6 a^{-10} +4 z^5 a^{-1} +25 z^5 a^{-3} +43 z^5 a^{-5} +43 z^5 a^{-7} +19 z^5 a^{-9} -2 z^5 a^{-11} +11 z^4 a^{-2} +18 z^4 a^{-4} +14 z^4 a^{-6} +16 z^4 a^{-8} +10 z^4 a^{-10} +z^4-4 z^3 a^{-1} -15 z^3 a^{-3} -22 z^3 a^{-5} -14 z^3 a^{-7} -2 z^3 a^{-9} +z^3 a^{-11} -8 z^2 a^{-2} -13 z^2 a^{-4} -11 z^2 a^{-6} -4 z^2 a^{-8} -2 z^2+z a^{-1} +4 z a^{-3} +4 z a^{-5} -z a^{-9} + a^{-2} +3 a^{-4} +3 a^{-6} + a^{-8} +1 }[/math] |
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