Errata for _Discovering Mathematics with Magma_

                       Last updated 2007-06-04

Negative line numbers indicate the corresponding line from the bottom
of the page.  e.g., line -3 would be the third last line on the page.

Page 17, line -1:  phi^-1(12)  should be  phi^-1(1012)
Page 37, line -1:  x^2 - 10    should be  t^2 - 10
Page 41, line 4:  x^2 - 10    should be  t^2 - 10
Page 53, line -16:  replace with these two lines:
    > _<t> := PolynomialRing(Rationals());
    > K := NumberField(t^2 - 10)
Page 86, lines 8-13: replace with these lines:
    > PrintToPrecision(theta[1], 1);
        O(3^5) - (3 + O(3^5))*$.1 + (3^2*10 + O(3^5))*$.2
    > PrintToPrecision(theta[2], 1);
        O(3^5) - (3*29 + O(3^5))*$.1 - (3*32 + O(3^5))*$.2
    > PrintToPrecision(theta[3], 1);
        O(3^5) - (3^2*5 + O(3^5))*$.1 - (3^4 + O(3^5))*$.2
Page 90, line 1:   X^9  should be  X^11
         line 13:  X^9  should be  X^15
Page 101, line 1:  underly  should be  underlie
Page 112, lines -9 to -7: omit these lines (output that was not asked for)
Page 113, line -3:  Z/32 + Z/32  should be  Z/6 + Z/6
Page 152, line 23:  9  should be  14
Page 166, line -12: insert a comma between e_{-\alpha} and e_{\alpha}
Page 171, line 14:  d4Be11s  should be  d4es11

[ The next few are extra semicolons when functions are being defined.
  They are unnecessary but not harmful. ]
Page 189, line 10: omit the semicolon at the end of the line
Page 190, line 7: omit the semicolon at the end of the line
Page 196, line 4: omit the semicolon at the end of the line
          line -18: omit the semicolon at the end of the line
Page 200, line 5: omit the semicolon at the end of the line
Page 202, line 15: omit the semicolon at the end of the line
Page 207, line -13: omit the semicolon at the end of the line

Page 214, line -17: The value 21 should be inserted at the start of the sequence
          line -14:  19  should be  20
Page 217, line 10: The value 70 should be inserted at the start of the sequence
Page 218, line 16 should be replaced by the following two lines:
    >  F1<a,b> := FreeAlgebra(gf, 2);
    >  p := 3;
Page 273, lines -9 and -7: Magma prompts are missing at the start of each
Page 316, line 17:  Let u be  should be  Let e be
          line -14: insert  , u in X,  before  and taken
Page 317, line 12:  D  should be in a calligraphic font
          line 14:  In the plane  should be  In R^2 \ D
		    (and that D should be calligraphic)
	  line 15: omit  of R^2 \ D
	  line 16:  of the plane;  should be  of the drawing;
Page 321, line -1:  5  should be  5 >
Page 325, line 1:  k-Flows  should be  k-flows
Page 326, line 11:  G*  should be  G**