From e4fe81d2d010aab830bd42ec079e79b389dbeff7 Mon Sep 17 00:00:00 2001
From: Ricardo Fabbri <rfabbri@gmail.com>
Date: Fri, 30 Aug 2024 16:18:23 -0300
Subject: [PATCH]  typo

---
 tutorial/end-linecircle.m2 | 2 +-
 tutorial/startSys          | 6 +++---
 2 files changed, 4 insertions(+), 4 deletions(-)

diff --git a/tutorial/end-linecircle.m2 b/tutorial/end-linecircle.m2
index 844117e..a3ad228 100644
--- a/tutorial/end-linecircle.m2
+++ b/tutorial/end-linecircle.m2
@@ -88,7 +88,7 @@ sols1gt = matrix{{
 }}; -- ground truth solutions of target system
 
 
-evaluate(GS,p1,sols1gt) -- shoold be 0
+evaluate(GS,p1,sols1gt) -- should be 0
 
 -- p1 = {a, b, c, d, e, f};
 -- where {a*(x^2+y^2)+b*x+c, d*x+e*y+f}
diff --git a/tutorial/startSys b/tutorial/startSys
index 6b2fe8e..7ac0d70 100644
--- a/tutorial/startSys
+++ b/tutorial/startSys
@@ -1,5 +1,5 @@
 Parameter values: 
-point { {toCC(-.73859496209513126p53e-1,-.9972686572933479p53),toCC(.95870801257978855p53,.28439224077901981p53),toCC(.61969948825190802p53e-1,.99807801570949517p53),toCC(-.43470640410304497p53e-1,.99905470491976467p53),toCC(-.86826703531248084p53,-.49609712294033231p53),toCC(.950104880475243p53,.31193062705852426p53)} }
+point { {toCC(.96913891709088118p53,-.24651523153735155p53),toCC(-.21457467866823432p53,.97670758534702906p53),toCC(.48996961378115461p53,.87173951245262837p53),toCC(-.48104144889319739p53,.87669785242507203p53),toCC(-.99281544243160247p53,.1196557448238134p53),toCC(.99077716982523778p53,.1355012905956692p53)} }
 Solutions : 
-point { {toCC(-.30166281567302908p53e1,-.39574202157289384p53),toCC(-.49753878287485835p53e-1,-.30635275816620497p53e1)} }
-point { {toCC(.14646826725993517p53,.22025157081641478p53e-1),toCC(.10271774891676382p53e1,-.60208212561927099p53e-1)} }
+point { {toCC(-.21238148392712108p53,.53902275093773289p53),toCC(.6530157448578866p53,-.23352608159990093p53)} }
+point { {toCC(.27211725799368196p53e1,-.23828560833036508p53),toCC(-.42391511446183711p53,.26037556554233334p53e1)} }