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Read the article https://ask.sagemath.org/question/29639/easiest-way-to-work-in-the-multiplicative-group-of-zmodn/and https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/integer_mod_ring.htmland then answer the following questions using sagemath library 1- generate a group Zn of n = your birthday date in

Read the article

https://ask.sagemath.org/question/29639/easiest-way-to-work-in-the-multiplicative-group-of-zmodn/and https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/integer_mod_ring.htmland then answer the following questions using sagemath library

1- generate a group Zn of n = your birthday date in the form DDMM

2-List the numbers inside the group Zn

3-Multiply any two numbers that belong to your group and report the result. Does it belong to the group Zn?

4- What is the order of the group (Number of elements inside the group)?

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