cinquefoil knot

Summary

cinquefoil knot is a prime knot^[1]. It draws 41 Wikipedia views per month (prime_knot category, ranking #5 of 10).^[2]

Key Facts

• cinquefoil knot's image is recorded as Blue Cinquefoil Knot.png^[3].
• cinquefoil knot's instance of is recorded as prime knot^[4].
• cinquefoil knot's instance of is recorded as torus knot^[5].
• cinquefoil knot's instance of is recorded as alternating knot^[6].
• cinquefoil knot's Commons category is recorded as Cinquefoil knots^[7].
• cinquefoil knot's Freebase ID is recorded as /m/0408kdl^[8].
• cinquefoil knot's different from is recorded as pentagram^[9].
• cinquefoil knot's MathWorld ID is recorded as SolomonsSealKnot^[10].
• cinquefoil knot's Alexander polynomial is recorded as t^2 - t + 1 - t^{-1} + t^{-2}^[11].
• cinquefoil knot's Conway polynomial is recorded as z^4 + 3z^2 + 1^[12].
• cinquefoil knot's Jones polynomial is recorded as q^{-2} + q^{-4} - q^{-5} + q^{-6} - q^{-7}^[13].
• cinquefoil knot's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• cinquefoil knot's Microsoft Academic ID is recorded as 2777055596^[15].
• cinquefoil knot's Alexander–Briggs notation is recorded as 5_1^[16].
• cinquefoil knot's Dowker-Thistlethwaite notation is recorded as 6, 8, 10, 2, 4^[17].
• cinquefoil knot's Dowker-Thistlethwaite name is recorded as 5a_{2}^[18].
• cinquefoil knot's Knot Atlas ID is recorded as 5_1^[19].
• cinquefoil knot's Knotinfo ID is recorded as 5_1^[20].
• cinquefoil knot's Gauss notation is recorded as {-1, 2, -3, 4, -5, 1, -2, 3, -4, 5}^[21].
• cinquefoil knot's crossing number is recorded as {'amount': '+5'}^[22].

Why It Matters

cinquefoil knot draws 41 Wikipedia views per month (prime_knot category, ranking #5 of 10).^[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.^[23] It is known by 5 alternative names across languages and contexts.^[24]