From 5ea79c7ae0d44686f1df05c4a016652afbe58968 Mon Sep 17 00:00:00 2001 From: Sebastiano Tronto Date: Sun, 14 Jun 2026 09:58:21 +0200 Subject: Initial commit --- misc_code/ugly_computations/GL2_ZN.py | 24 + misc_code/ugly_computations/cm/cm-rank+-all.sage | 3361 ++++++++++++++++++++ misc_code/ugly_computations/cm/test-cm-rank.sage | 16 + misc_code/ugly_computations/order_GLn.pdf | 2137 +++++++++++++ .../ugly_computations/quadratic_class_number.sage | 12 + 5 files changed, 5550 insertions(+) create mode 100755 misc_code/ugly_computations/GL2_ZN.py create mode 100755 misc_code/ugly_computations/cm/cm-rank+-all.sage create mode 100755 misc_code/ugly_computations/cm/test-cm-rank.sage create mode 100755 misc_code/ugly_computations/order_GLn.pdf create mode 100755 misc_code/ugly_computations/quadratic_class_number.sage (limited to 'misc_code/ugly_computations') diff --git a/misc_code/ugly_computations/GL2_ZN.py b/misc_code/ugly_computations/GL2_ZN.py new file mode 100755 index 0000000..c706703 --- /dev/null +++ b/misc_code/ugly_computations/GL2_ZN.py @@ -0,0 +1,24 @@ +# Prints a list of matrices, the elements of GL_2(Z/nZ) + +def gcd( m, n ): + if n == 0: + return m + return gcd( n, m%n ) + +def print_mat( a, b, c, d ): + print "" + print "|", a, " ", b, "|" + print "|", c, " ", d, "|" + +n = input("Choose n: ") + +count = 0 +for a in range(n): + for b in range(n): + for c in range(n): + for d in range(n): + if gcd( n, abs(a*d-b*c)) == 1: + print_mat(a,b,c,d) + count += 1 + +print "Found", count, "elements" diff --git a/misc_code/ugly_computations/cm/cm-rank+-all.sage b/misc_code/ugly_computations/cm/cm-rank+-all.sage new file mode 100755 index 0000000..f1943af --- /dev/null +++ b/misc_code/ugly_computations/cm/cm-rank+-all.sage @@ -0,0 +1,3361 @@ + +# Elliptic curves downloaded from the LMFDB downloaded on 23 October 2019. +# Below is a list called data. Each entry has the form: +# [a1,a2,a3,a4,a6] (Weierstrass Coefficients) + + +data = [\ +[0, -1, 1, -887, -10143],\ +[0, -1, 1, -7, 10],\ +[0, 0, 1, 0, -34],\ +[0, 0, 1, 0, 1],\ +[0, 0, 1, 0, -1],\ +[0, 0, 1, 0, 20],\ +[0, 1, 0, -13, -21],\ +[0, 1, 0, -3, 1],\ +[0, 0, 0, -2, 0],\ +[0, 0, 0, 8, 0],\ +[0, 0, 0, -12, 0],\ +[0, 0, 0, 3, 0],\ +[0, 0, 1, -13718, -619025],\ +[0, 0, 1, -38, 90],\ +[0, 0, 0, 0, -4],\ +[0, 0, 0, 0, 108],\ +[1, -1, 1, -16400, -804212],\ +[1, -1, 1, -965, -13940],\ +[1, -1, 1, -335, 2440],\ +[1, -1, 1, -20, 46],\ +[0, 0, 1, 0, -331],\ +[0, 0, 1, 0, 12],\ +[0, 0, 0, -396, -3024],\ +[0, 0, 0, -396, 3024],\ +[0, 0, 0, -36, 0],\ +[0, 0, 0, 9, 0],\ +[0, 0, 0, -540, -4752],\ +[0, 0, 0, -60, 176],\ +[0, 0, 0, 0, -216],\ +[0, 0, 0, 0, 8],\ +[0, 0, 1, -6750, -213469],\ +[0, 0, 1, -750, 7906],\ +[0, 0, 1, 0, -844],\ +[0, 0, 1, 0, 31],\ +[0, 0, 0, -29155, -1915998],\ +[0, 0, 0, -1715, -33614],\ +[0, 0, 0, -595, 5586],\ +[0, 0, 0, -35, 98],\ +[0, 0, 0, -275, -1750],\ +[0, 0, 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