three-twist knot

Summary

three-twist knot is a prime knot^[1]. It draws 96 Wikipedia views per month (prime_knot category, ranking #2 of 10).^[2]

Key Facts

• three-twist knot's image is recorded as Blue Three-Twist Knot.png^[3].
• three-twist knot's instance of is recorded as prime knot^[4].
• three-twist knot's instance of is recorded as alternating knot^[5].
• three-twist knot's instance of is recorded as twist knot^[6].
• three-twist knot's Commons category is recorded as Three-twist knots^[7].
• three-twist knot's Freebase ID is recorded as /m/0bh87rt^[8].
• three-twist knot's Alexander polynomial is recorded as 2t - 3 + 2t^{-1}^[9].
• three-twist knot's Conway polynomial is recorded as 2z^2 + 1^[10].
• three-twist knot's Jones polynomial is recorded as q^{-1} - q^{-2} + 2q^{-3} -q^{-4} + q^{-5} - q^{-6}^[11].
• three-twist knot's maintained by WikiProject is recorded as WikiProject Mathematics^[12].
• three-twist knot's Microsoft Academic ID is recorded as 2776247003^[13].
• three-twist knot's Alexander–Briggs notation is recorded as 5_2^[14].
• three-twist knot's Dowker-Thistlethwaite notation is recorded as 4, 8, 10, 2, 6^[15].
• three-twist knot's Dowker-Thistlethwaite name is recorded as 5a_{1}^[16].
• three-twist knot's Knot Atlas ID is recorded as 5_2^[17].
• three-twist knot's Knotinfo ID is recorded as 5_2^[18].
• three-twist knot's Gauss notation is recorded as {1, -2, 3, -1, 4, -5, 2, -3, 5, -4}^[19].
• three-twist knot's crossing number is recorded as {'amount': '+5'}^[20].

Why It Matters

three-twist knot draws 96 Wikipedia views per month (prime_knot category, ranking #2 of 10).^[2] It is known by 4 alternative names across languages and contexts.^[21]