From c3ee3ecf4c8f26ec954ac6a9966f96bd994af248 Mon Sep 17 00:00:00 2001
From: Alexandre Guillemot <alexandre.guillemot@inria.fr>
Date: Wed, 2 Apr 2025 14:10:23 +0200
Subject: [PATCH] resultants 3-4 2 data test and add it to issac entries

---
 data/linear/resultants-3-4/all/2.json | 1305 +++++++++++++++++++++++++
 latextable.py                         |    1 +
 synthesize.sage                       |   10 +
 tables/issac_2025/entries.json        |    6 +-
 4 files changed, 1319 insertions(+), 3 deletions(-)
 create mode 100644 data/linear/resultants-3-4/all/2.json

diff --git a/data/linear/resultants-3-4/all/2.json b/data/linear/resultants-3-4/all/2.json
new file mode 100644
index 00000000..86921fbf
--- /dev/null
+++ b/data/linear/resultants-3-4/all/2.json
@@ -0,0 +1,1305 @@
+{
+  "system": [
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+      "1.00000000000000",
+      "1.00000000000000"
+    ],
+    [
+      "-0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "-0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
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+    [
+      "-0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "-0.382683432365090 - 0.923879532511287*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "1.00000000000000"
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+    [
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+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
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+      "-1.00000000000000 + 1.22464679914735e-16*I"
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+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
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+      "6.12323399573677e-17 + 1.00000000000000*I"
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+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
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+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
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+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000"
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+    [
+      "-0.382683432365090 - 0.923879532511287*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "-0.382683432365090 - 0.923879532511287*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
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+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000",
+      "1.00000000000000"
+    ],
+    [
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+      "1.00000000000000",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
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+      "1.00000000000000",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "1.00000000000000"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "1.00000000000000",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.382683432365090 - 0.923879532511287*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "1.00000000000000",
+      "1.00000000000000"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "1.00000000000000",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "1.00000000000000",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.707106781186547 - 0.707106781186548*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "1.00000000000000",
+      "1.00000000000000"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "1.00000000000000",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "1.00000000000000",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "6.12323399573677e-17 + 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "1.00000000000000"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "6.12323399573677e-17 + 1.00000000000000*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "0.923879532511287 - 0.382683432365090*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I",
+      "-1.83697019872103e-16 - 1.00000000000000*I"
+    ]
+  ]
+}
\ No newline at end of file
diff --git a/latextable.py b/latextable.py
index da011a80..086be7b5 100644
--- a/latextable.py
+++ b/latextable.py
@@ -13,6 +13,7 @@ table_file = open(args.table, "r")
 table = json.load(table_file)
 
 syn = {
+    "tot deg": "deg.",
     "failures": "fail.",
     "medsteps": "med.",
     "minsteps": "min.",
diff --git a/synthesize.sage b/synthesize.sage
index 306ffa92..16bd60b4 100644
--- a/synthesize.sage
+++ b/synthesize.sage
@@ -157,6 +157,15 @@ def degrees(data):
     t = A.gens()[0]
     return [A(f).subs(t=0).degree() for f in d["system"]]
 
+# takes a list of degrees
+def tot_degree(degrees):
+    deg_dict = {}
+    for d in degrees:
+        if d not in deg_dict:
+            deg_dict[d] = 0
+        deg_dict[d] += 1
+        
+    return "$" + " \\cdot ".join([f"{d}" + f"^{{{deg_dict[d]}}}"*(deg_dict[d] > 1) for d in deg_dict if d > 1]) + "$"
 
 def instructions(data, derivative=False):
     function = "f" if not derivative else "df"
@@ -187,6 +196,7 @@ data_stats = {
     "name": name,
     "dimension": lambda data: len(json.load(open(f"data/{data}.json", "r"))["system"]),
     "max deg": lambda data: int(max(degrees(data))),
+    "tot deg": lambda data: tot_degree(degrees(data)),
     "paths": lambda data: len(json.load(open(f"data/{data}.json", "r"))["fiber"]),
     "f": lambda data: instructions(data),
     "df": lambda data: instructions(data, derivative=True),
diff --git a/tables/issac_2025/entries.json b/tables/issac_2025/entries.json
index 1389e02e..35763c73 100644
--- a/tables/issac_2025/entries.json
+++ b/tables/issac_2025/entries.json
@@ -4,8 +4,8 @@
         "linear/dense-2000/all/1",
         "linear/katsura-15/all/1",
         "linear/katsura-20/all/1",
-        "linear/resultants-3-4/all/3",
-        "linear/resultants-2-5/all/2",
+        "linear/resultants-3-4/all/2",
+        "linear/resultants-2-5/all/1",
         "linear/sumpowlin-factorized-3-10-10/random-100/1",
         "linear/sumpowlin-factorized-3-20-10/random-100/1",
         "linear/sumpowlin-factorized-3-30-10/random-100/1",
@@ -32,7 +32,7 @@
                 "children": []
             },
             {
-                "val": "max deg",
+                "val": "tot deg",
                 "children": []
             },
             {
-- 
GitLab