0.E-38
0.E-12
0.E-12 + 0.E-12*I
0.79370052598409973737585281963615413020
1.1739849967053285099666839718862667420
2 + O(17^100)
1010311380446684911802268122009368691535646607849018888903290947605488591556
607742
125907569
31622776601683793319988935444327185337
3300034791125284639
  ***   at top-level: sqrtn(Mod(0,3),-2)
  ***                 ^------------------
  *** sqrtn: impossible inverse in Fl_sqrtn: Mod(0, 3).
  ***   at top-level: sqrtn(O(3),-2)
  ***                 ^--------------
  *** sqrtn: impossible inverse in ginv: O(3).
  ***   at top-level: sqrtn(0*ffgen((2^64+13)^2),-2)
  ***                 ^------------------------------
  *** sqrtn: impossible inverse in FpXQ_sqrtn: 0.
  ***   at top-level: sqrtn(0*ffgen(3^2),-2)
  ***                 ^----------------------
  *** sqrtn: impossible inverse in Flxq_sqrtn: Vecsmall([0]).
  ***   at top-level: sqrtn(0*ffgen(2^2),-2)
  ***                 ^----------------------
  *** sqrtn: impossible inverse in F2xq_sqrtn: Vecsmall([0]).
9
1.0717734625362931642130063250233420229
0.80901699437494742410229341718281905886 + 0.5877852522924731291687059546390
7276860*I
1 + 3^2 + 2*3^4 + 2*3^5 + 3^6 + O(3^8)
2 + 2*3 + 2*3^2 + 2*3^3 + 2*3^4 + 2*3^5 + 2*3^6 + 2*3^7 + O(3^8)
1 + O(3^2)
1
1
1
  ***   at top-level: sqrtn(Mod(2,4),3)
  ***                 ^-----------------
  *** sqrtn: impossible inverse in Fl_inv: Mod(2, 4).
  ***   at top-level: sqrtn(Mod(2,4),3,&z)
  ***                 ^--------------------
  *** sqrtn: impossible inverse in Fl_inv: Mod(2, 4).
1.0000000000000000000000000000000000000
0
0
0
2
0
347761
478116
1
2.1415926535897932384626433832795028842
100000000000000000000
0.E2
1
-1 + w
1
5/4
2
1
2
error("not an n-th power residue in Qp_sqrt: 1 + 2 + O(2^2).")
error("not an n-th power residue in Qp_sqrt: 1 + 2 + O(2^3).")
error("not an n-th power residue in gsqrt: Mod(2, 11).")
error("not a prime number in Fl_nonsquare: 33.")
0.E-5 + 0.E-5*I
[1 + O(3), 1]
[1 + O(2), -1]
[2 + O(2^3), 1 + 2 + O(2^2)]
[2.0000000000000000000000000000000000000, 3.00000000000000000000000000000000
00000]
error("not an n-th power residue in gsqrtn: Mod(2, 7).")
[0, 0]
Mod(2, 21)
error("not a prime number in sqrtn [modulus]: 35.")
[Mod(99, 101), Mod(100, 101)]
error("not an n-th power residue in gsqrtn: Mod(3, 19).")
0.E-38
  ***   at top-level: sqrtn(Mod(13,112),6)
  ***                 ^--------------------
  *** sqrtn: not a prime number in sqrtn [modulus]: 112.
  ***   at top-level: sqrtint(1e80)
  ***                 ^-------------
  *** sqrtint: precision too low in truncr (precision loss in truncation).
  ***   at top-level: sqrtint(-1.0)
  ***                 ^-------------
  *** sqrtint: domain error in sqrtint: argument < 0
  ***   at top-level: sqrtint('x)
  ***                 ^-----------
  *** sqrtint: incorrect type in sqrtint (t_POL).
  ***   at top-level: sqrtnint('x,3)
  ***                 ^--------------
  *** sqrtnint: incorrect type in sqrtint (t_POL).
  ***   at top-level: sqrtnint(-1.0,3)
  ***                 ^----------------
  *** sqrtnint: domain error in sqrtnint: argument < 0
  ***   at top-level: sqrtint(-quadgen(5))
  ***                 ^--------------------
  *** sqrtint: domain error in sqrtint: argument < 0
  ***   at top-level: sqrtnint(-quadgen(5),3)
  ***                 ^-----------------------
  *** sqrtnint: domain error in sqrtnint: argument < 0
Total time spent: 85
