(a) Write 124 E (Z/11 Z)* as a product of a Teichmuller lift and an exponential:...
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(a) Write 124 E (Z/11 Z)* as a product of a Teichmuller lift and an exponential: T(a) · exp(11y), where a E F, y € Z/112Z. 11 Your answer for a should be in the set {1, ... , 10} and your answer for y should be in the set {0, ... , 120}. a y = (b) Hence, find a solution to the congruence X99 = 124 mod 11. Your answer should be in the set 66 {1, ... ,11³ – 1}. X = (a) Write 124 E (Z/11 Z)* as a product of a Teichmuller lift and an exponential: T(a) · exp(11y), where a E F, y € Z/112Z. 11 Your answer for a should be in the set {1, ... , 10} and your answer for y should be in the set {0, ... , 120}. a y = (b) Hence, find a solution to the congruence X99 = 124 mod 11. Your answer should be in the set 66 {1, ... ,11³ – 1}. X =
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Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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