List vs Set Python3.8 on Ubuntu 20.04 (Pop!_OS 20.04)

results.txt

**********************************
Starting Set TEST with 10 values
Set took: 0.04215108300559223s
Starting List TEST with 10 values
List took: 0.08148651605006307s
**********************************

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Starting Set TEST with 20 values
Set took: 0.03723059198819101s
Starting List TEST with 20 values
List took: 0.11879940191283822s
**********************************

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Starting Set TEST with 30 values
Set took: 0.03701224492397159s
Starting List TEST with 30 values
List took: 0.1356453859480098s
**********************************

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Starting Set TEST with 40 values
Set took: 0.03713014104869217s
Starting List TEST with 40 values
List took: 0.1853324209805578s
**********************************

**********************************
Starting Set TEST with 50 values
Set took: 0.03695958503521979s
Starting List TEST with 50 values
List took: 0.8634760410059243s
**********************************

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Starting Set TEST with 100 values
Set took: 0.03697299200575799s
Starting List TEST with 100 values
List took: 0.2997861340409145s
**********************************

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Starting Set TEST with 200 values
Set took: 0.03892802097834647s
Starting List TEST with 200 values
List took: 1.0768143009627238s
**********************************

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Starting Set TEST with 300 values
Set took: 0.037297777947969735s
Starting List TEST with 300 values
List took: 1.4665326619287953s
**********************************

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Starting Set TEST with 400 values
Set took: 0.057829145109280944s
Starting List TEST with 400 values
List took: 3.4782891978975385s
**********************************

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Starting Set TEST with 500 values
Set took: 0.05806373502127826s
Starting List TEST with 500 values
List took: 1.0942066450370476s
**********************************

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Starting Set TEST with 1000 values
Set took: 0.058301003999076784s
Starting List TEST with 1000 values
List took: 12.732016560970806s
**********************************

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Starting Set TEST with 1500 values
Set took: 0.05864760302938521s
Starting List TEST with 1500 values
List took: 24.094302967074327s
**********************************

**********************************
Starting Set TEST with 2000 values
Set took: 0.05821405095048249s
Starting List TEST with 2000 values
List took: 17.015575519995764s
**********************************

test.py

from timeit import timeit
import random


with open('result.txt', 'w+') as writer:
    for i in [10, 20, 30, 40, 50, 100, 200, 300, 400, 500, 1000, 1500, 2000,]:
            writer.write("\n**********************************\n")
            writer.write(f"Starting Set TEST with {i} values\n")
            time_took_sec = timeit(stmt=f'{random.randint(0, i)} in s',
                                   setup=f's = set(range(0, {i}))')
            writer.write(f'Set took: {time_took_sec}s\n')

            writer.write(f"Starting List TEST with {i} values\n")
            time_took_sec = timeit(stmt=f'{random.randint(0, i)} in s',
                                   setup=f's = list(range(0, {i}))')
            writer.write(f'List took: {time_took_sec}s\n')
            writer.write("**********************************\n")