From 521994cf3006f3f5c822500f0856d918b6dc39e6 Mon Sep 17 00:00:00 2001
From: 123harshil <53142888+123harshil@users.noreply.github.com>
Date: Wed, 4 Mar 2026 00:11:50 +0100
Subject: [PATCH 1/2] Create Elliptic_curve_Dataset.json

---
 test/data/Elliptic_curve_Dataset.json | 1352 +++++++++++++++++++++++++
 1 file changed, 1352 insertions(+)
 create mode 100644 test/data/Elliptic_curve_Dataset.json

diff --git a/test/data/Elliptic_curve_Dataset.json b/test/data/Elliptic_curve_Dataset.json
new file mode 100644
index 0000000..990099d
--- /dev/null
+++ b/test/data/Elliptic_curve_Dataset.json
@@ -0,0 +1,1352 @@
+[
+    {
+        "lmfdb_label": "414.c2",
+        "lmfdb_iso": "414.c",
+        "conductor": 414,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -5180, -142189]"
+    },
+    {
+        "lmfdb_label": "689.a2",
+        "lmfdb_iso": "689.a",
+        "conductor": 689,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 0, -9, 34]"
+    },
+    {
+        "lmfdb_label": "285.c1",
+        "lmfdb_iso": "285.c",
+        "conductor": 285,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 0, -6007, -181724]"
+    },
+    {
+        "lmfdb_label": "330.e5",
+        "lmfdb_iso": "330.e",
+        "conductor": 330,
+        "rank": 0,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 0, 5, 17]"
+    },
+    {
+        "lmfdb_label": "102.b2",
+        "lmfdb_iso": "102.b",
+        "conductor": 102,
+        "rank": 0,
+        "torsion_structure": "[6]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -256, 1550]"
+    },
+    {
+        "lmfdb_label": "464.c2",
+        "lmfdb_iso": "464.c",
+        "conductor": 464,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 0, 36, 76]"
+    },
+    {
+        "lmfdb_label": "890.a1",
+        "lmfdb_iso": "890.a",
+        "conductor": 890,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -109, -444]"
+    },
+    {
+        "lmfdb_label": "158.e1",
+        "lmfdb_iso": "158.e",
+        "conductor": 158,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 1, -9, 5]"
+    },
+    {
+        "lmfdb_label": "784.e3",
+        "lmfdb_iso": "784.e",
+        "conductor": 784,
+        "rank": 0,
+        "torsion_structure": "[2, 2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -931, 10290]"
+    },
+    {
+        "lmfdb_label": "890.d1",
+        "lmfdb_iso": "890.d",
+        "conductor": 890,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -13, 16]"
+    },
+    {
+        "lmfdb_label": "610.b2",
+        "lmfdb_iso": "610.b",
+        "conductor": 610,
+        "rank": 1,
+        "torsion_structure": "[2, 2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, -244, 0]"
+    },
+    {
+        "lmfdb_label": "930.h1",
+        "lmfdb_iso": "930.h",
+        "conductor": 930,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -2013, -12344]"
+    },
+    {
+        "lmfdb_label": "440.d1",
+        "lmfdb_iso": "440.d",
+        "conductor": 440,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -67, -226]"
+    },
+    {
+        "lmfdb_label": "544.b2",
+        "lmfdb_iso": "544.b",
+        "conductor": 544,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -6, -8]"
+    },
+    {
+        "lmfdb_label": "291.a1",
+        "lmfdb_iso": "291.a",
+        "conductor": 291,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 1, -2174, 151262]"
+    },
+    {
+        "lmfdb_label": "171.a1",
+        "lmfdb_iso": "171.a",
+        "conductor": 171,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -914, -10402]"
+    },
+    {
+        "lmfdb_label": "624.d3",
+        "lmfdb_iso": "624.d",
+        "conductor": 624,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 0, -7, -2]"
+    },
+    {
+        "lmfdb_label": "880.g1",
+        "lmfdb_iso": "880.g",
+        "conductor": 880,
+        "rank": 1,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -7547, 12986]"
+    },
+    {
+        "lmfdb_label": "960.l5",
+        "lmfdb_iso": "960.l",
+        "conductor": 960,
+        "rank": 0,
+        "torsion_structure": "[2, 2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -641, -3105]"
+    },
+    {
+        "lmfdb_label": "700.i2",
+        "lmfdb_iso": "700.i",
+        "conductor": 700,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 0, 2, -3]"
+    },
+    {
+        "lmfdb_label": "635.b2",
+        "lmfdb_iso": "635.b",
+        "conductor": 635,
+        "rank": 1,
+        "torsion_structure": "[3]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 1, 5, 6]"
+    },
+    {
+        "lmfdb_label": "880.c1",
+        "lmfdb_iso": "880.c",
+        "conductor": 880,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 0, -1416, -20240]"
+    },
+    {
+        "lmfdb_label": "906.c2",
+        "lmfdb_iso": "906.c",
+        "conductor": 906,
+        "rank": 1,
+        "torsion_structure": "[3]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -1715, 27182]"
+    },
+    {
+        "lmfdb_label": "153.d1",
+        "lmfdb_iso": "153.d",
+        "conductor": 153,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 1, -27, -61]"
+    },
+    {
+        "lmfdb_label": "897.f2",
+        "lmfdb_iso": "897.f",
+        "conductor": 897,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, 130884, -59725523]"
+    },
+    {
+        "lmfdb_label": "504.b3",
+        "lmfdb_iso": "504.b",
+        "conductor": 504,
+        "rank": 1,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -66, 205]"
+    },
+    {
+        "lmfdb_label": "786.j1",
+        "lmfdb_iso": "786.j",
+        "conductor": 786,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 1, -861, 9267]"
+    },
+    {
+        "lmfdb_label": "762.c1",
+        "lmfdb_iso": "762.c",
+        "conductor": 762,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -17677, -9208]"
+    },
+    {
+        "lmfdb_label": "840.j5",
+        "lmfdb_iso": "840.j",
+        "conductor": 840,
+        "rank": 0,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -15, 90]"
+    },
+    {
+        "lmfdb_label": "435.d2",
+        "lmfdb_iso": "435.d",
+        "conductor": 435,
+        "rank": 0,
+        "torsion_structure": "[2, 2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -33, 31]"
+    },
+    {
+        "lmfdb_label": "539.d1",
+        "lmfdb_iso": "539.d",
+        "conductor": 539,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -2525, -45279]"
+    },
+    {
+        "lmfdb_label": "874.a1",
+        "lmfdb_iso": "874.a",
+        "conductor": 874,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, -13189, 575701]"
+    },
+    {
+        "lmfdb_label": "640.f2",
+        "lmfdb_iso": "640.f",
+        "conductor": 640,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -2, -4]"
+    },
+    {
+        "lmfdb_label": "730.f1",
+        "lmfdb_iso": "730.f",
+        "conductor": 730,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 0, -2, -4]"
+    },
+    {
+        "lmfdb_label": "936.b1",
+        "lmfdb_iso": "936.b",
+        "conductor": 936,
+        "rank": 1,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -7491, 249550]"
+    },
+    {
+        "lmfdb_label": "402.a1",
+        "lmfdb_iso": "402.a",
+        "conductor": 402,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 0, -2, -12]"
+    },
+    {
+        "lmfdb_label": "106.b1",
+        "lmfdb_iso": "106.b",
+        "conductor": 106,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 0, -27, -67]"
+    },
+    {
+        "lmfdb_label": "522.h1",
+        "lmfdb_iso": "522.h",
+        "conductor": 522,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -509, 4677]"
+    },
+    {
+        "lmfdb_label": "240.b8",
+        "lmfdb_iso": "240.b",
+        "conductor": 240,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 0, 24, -144]"
+    },
+    {
+        "lmfdb_label": "630.i3",
+        "lmfdb_iso": "630.i",
+        "conductor": 630,
+        "rank": 0,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -32, 51]"
+    },
+    {
+        "lmfdb_label": "110.b1",
+        "lmfdb_iso": "110.b",
+        "conductor": 110,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 1, -5940, -178685]"
+    },
+    {
+        "lmfdb_label": "574.j1",
+        "lmfdb_iso": "574.j",
+        "conductor": 574,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -37, 85]"
+    },
+    {
+        "lmfdb_label": "981.b1",
+        "lmfdb_iso": "981.b",
+        "conductor": 981,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, 36, 81]"
+    },
+    {
+        "lmfdb_label": "120.a4",
+        "lmfdb_iso": "120.a",
+        "conductor": 120,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, 4, 0]"
+    },
+    {
+        "lmfdb_label": "660.c3",
+        "lmfdb_iso": "660.c",
+        "conductor": 660,
+        "rank": 1,
+        "torsion_structure": "[6]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -41, 120]"
+    },
+    {
+        "lmfdb_label": "144.a1",
+        "lmfdb_iso": "144.a",
+        "conductor": 144,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": -12,
+        "ainvs": "[0, 0, 0, -135, 594]"
+    },
+    {
+        "lmfdb_label": "402.b1",
+        "lmfdb_iso": "402.b",
+        "conductor": 402,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -10255, -438718]"
+    },
+    {
+        "lmfdb_label": "646.a2",
+        "lmfdb_iso": "646.a",
+        "conductor": 646,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, -85, -867]"
+    },
+    {
+        "lmfdb_label": "792.g1",
+        "lmfdb_iso": "792.g",
+        "conductor": 792,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -36, -108]"
+    },
+    {
+        "lmfdb_label": "715.a1",
+        "lmfdb_iso": "715.a",
+        "conductor": 715,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 1, 43, -2088]"
+    },
+    {
+        "lmfdb_label": "819.f1",
+        "lmfdb_iso": "819.f",
+        "conductor": 819,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 1, 9, -7]"
+    },
+    {
+        "lmfdb_label": "973.a2",
+        "lmfdb_iso": "973.a",
+        "conductor": 973,
+        "rank": 1,
+        "torsion_structure": "[3]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 1, -253, 441]"
+    },
+    {
+        "lmfdb_label": "629.c1",
+        "lmfdb_iso": "629.c",
+        "conductor": 629,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, 11, -18]"
+    },
+    {
+        "lmfdb_label": "210.b3",
+        "lmfdb_iso": "210.b",
+        "conductor": 210,
+        "rank": 0,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 1, -20353, -1443724]"
+    },
+    {
+        "lmfdb_label": "910.g3",
+        "lmfdb_iso": "910.g",
+        "conductor": 910,
+        "rank": 0,
+        "torsion_structure": "[6]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 0, 0, -20356, 876120]"
+    },
+    {
+        "lmfdb_label": "270.b1",
+        "lmfdb_iso": "270.b",
+        "conductor": 270,
+        "rank": 0,
+        "torsion_structure": "[3]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, -159, 813]"
+    },
+    {
+        "lmfdb_label": "906.a1",
+        "lmfdb_iso": "906.a",
+        "conductor": 906,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 0, 3395, -211907]"
+    },
+    {
+        "lmfdb_label": "885.d1",
+        "lmfdb_iso": "885.d",
+        "conductor": 885,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 1, -126, 587]"
+    },
+    {
+        "lmfdb_label": "768.c2",
+        "lmfdb_iso": "768.c",
+        "conductor": 768,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 0, -3, -9]"
+    },
+    {
+        "lmfdb_label": "882.i1",
+        "lmfdb_iso": "882.i",
+        "conductor": 882,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -1204160, -508296477]"
+    },
+    {
+        "lmfdb_label": "608.c1",
+        "lmfdb_iso": "608.c",
+        "conductor": 608,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -8, -16]"
+    },
+    {
+        "lmfdb_label": "615.a1",
+        "lmfdb_iso": "615.a",
+        "conductor": 615,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 1, -6, -6]"
+    },
+    {
+        "lmfdb_label": "252.a2",
+        "lmfdb_iso": "252.a",
+        "conductor": 252,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -12, 65]"
+    },
+    {
+        "lmfdb_label": "784.e2",
+        "lmfdb_iso": "784.e",
+        "conductor": 784,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -2891, -47334]"
+    },
+    {
+        "lmfdb_label": "240.d3",
+        "lmfdb_iso": "240.d",
+        "conductor": 240,
+        "rank": 0,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -1760, 52788]"
+    },
+    {
+        "lmfdb_label": "609.a1",
+        "lmfdb_iso": "609.a",
+        "conductor": 609,
+        "rank": 1,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 1, -204624, 35542050]"
+    },
+    {
+        "lmfdb_label": "462.c3",
+        "lmfdb_iso": "462.c",
+        "conductor": 462,
+        "rank": 0,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 0, -1444, 410800]"
+    },
+    {
+        "lmfdb_label": "960.j1",
+        "lmfdb_iso": "960.j",
+        "conductor": 960,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -12801, 553215]"
+    },
+    {
+        "lmfdb_label": "714.f6",
+        "lmfdb_iso": "714.f",
+        "conductor": 714,
+        "rank": 0,
+        "torsion_structure": "[4]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, 1, 1, 349916, 20936165]"
+    },
+    {
+        "lmfdb_label": "784.a1",
+        "lmfdb_iso": "784.a",
+        "conductor": 784,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -343, 2401]"
+    },
+    {
+        "lmfdb_label": "876.b1",
+        "lmfdb_iso": "876.b",
+        "conductor": 876,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 1, 0, -61, 191]"
+    },
+    {
+        "lmfdb_label": "774.i1",
+        "lmfdb_iso": "774.i",
+        "conductor": 774,
+        "rank": 0,
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+        "rank": 0,
+        "torsion_structure": "[2, 2]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, 0, 0, -399, -1870]"
+    },
+    {
+        "lmfdb_label": "130.b2",
+        "lmfdb_iso": "130.b",
+        "conductor": 130,
+        "rank": 0,
+        "torsion_structure": "[2, 2]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 1, -87, -289]"
+    },
+    {
+        "lmfdb_label": "742.a1",
+        "lmfdb_iso": "742.a",
+        "conductor": 742,
+        "rank": 1,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[1, -1, 0, -5, 7]"
+    },
+    {
+        "lmfdb_label": "987.d1",
+        "lmfdb_iso": "987.d",
+        "conductor": 987,
+        "rank": 0,
+        "torsion_structure": "[]",
+        "cm_discriminant": 0,
+        "ainvs": "[0, -1, 1, -208, 1227]"
+    },
+    {
+        "lmfdb_label": "288.a2",
+        "lmfdb_iso": "288.a",
+        "conductor": 288,
+        "rank": 1,
+        "torsion_structure": "[2]",
+        "cm_discriminant": -4,
+        "ainvs": "[0, 0, 0, 3, 0]"
+    }
+]

From 1e056d6b83ab3d9ab0084c71e0915ec3452ef110 Mon Sep 17 00:00:00 2001
From: 123harshil <53142888+123harshil@users.noreply.github.com>
Date: Wed, 4 Mar 2026 00:14:11 +0100
Subject: [PATCH 2/2] Create simple_polynomial_dataset.json

---
 test/data/simple_polynomial_dataset.json | 1372 ++++++++++++++++++++++
 1 file changed, 1372 insertions(+)
 create mode 100644 test/data/simple_polynomial_dataset.json

diff --git a/test/data/simple_polynomial_dataset.json b/test/data/simple_polynomial_dataset.json
new file mode 100644
index 0000000..02a6224
--- /dev/null
+++ b/test/data/simple_polynomial_dataset.json
@@ -0,0 +1,1372 @@
+[
+  {
+    "id": 1,
+    "polynomial": "-1 - 3x",
+    "degree": 1,
+    "coefficients": [
+      -1,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": -1,
+    "sum_of_coefficients": -4
+  },
+  {
+    "id": 2,
+    "polynomial": "-1 - 4x - 5x^2 + x^3 + 2x^4",
+    "degree": 4,
+    "coefficients": [
+      -1,
+      -4,
+      -5,
+      1,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -1,
+    "sum_of_coefficients": -7
+  },
+  {
+    "id": 3,
+    "polynomial": "-5x - 3x^2 - 2x^3",
+    "degree": 3,
+    "coefficients": [
+      0,
+      -5,
+      -3,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 0,
+    "sum_of_coefficients": -10
+  },
+  {
+    "id": 4,
+    "polynomial": "3 - 2x^2 - 2x^3",
+    "degree": 3,
+    "coefficients": [
+      3,
+      0,
+      -2,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 3,
+    "sum_of_coefficients": -1
+  },
+  {
+    "id": 5,
+    "polynomial": "1 - 3x",
+    "degree": 1,
+    "coefficients": [
+      1,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 1,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 6,
+    "polynomial": "-4 - 5x + 2x^3 - 3x^4",
+    "degree": 4,
+    "coefficients": [
+      -4,
+      -5,
+      0,
+      2,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": -4,
+    "sum_of_coefficients": -10
+  },
+  {
+    "id": 7,
+    "polynomial": "-4 + 3x",
+    "degree": 1,
+    "coefficients": [
+      -4,
+      3
+    ],
+    "leading_coefficient": 3,
+    "constant_term": -4,
+    "sum_of_coefficients": -1
+  },
+  {
+    "id": 8,
+    "polynomial": "-3 - 5x - x^2",
+    "degree": 2,
+    "coefficients": [
+      -3,
+      -5,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": -3,
+    "sum_of_coefficients": -9
+  },
+  {
+    "id": 9,
+    "polynomial": "4 + 2x - x^2 + 2x^3 - 3x^4",
+    "degree": 4,
+    "coefficients": [
+      4,
+      2,
+      -1,
+      2,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 4,
+    "sum_of_coefficients": 4
+  },
+  {
+    "id": 10,
+    "polynomial": "3x + 2x^2 - 2x^3",
+    "degree": 3,
+    "coefficients": [
+      0,
+      3,
+      2,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 0,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 11,
+    "polynomial": "-5 + x + 5x^2 + 2x^3",
+    "degree": 3,
+    "coefficients": [
+      -5,
+      1,
+      5,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -5,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 12,
+    "polynomial": "5 + 3x + 5x^2 + 5x^3 + 2x^4",
+    "degree": 4,
+    "coefficients": [
+      5,
+      3,
+      5,
+      5,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": 5,
+    "sum_of_coefficients": 20
+  },
+  {
+    "id": 13,
+    "polynomial": "3 + 5x + x^2 + 2x^4",
+    "degree": 4,
+    "coefficients": [
+      3,
+      5,
+      1,
+      0,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": 3,
+    "sum_of_coefficients": 11
+  },
+  {
+    "id": 14,
+    "polynomial": "5 - 2x",
+    "degree": 1,
+    "coefficients": [
+      5,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 5,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 15,
+    "polynomial": "2 + 3x",
+    "degree": 1,
+    "coefficients": [
+      2,
+      3
+    ],
+    "leading_coefficient": 3,
+    "constant_term": 2,
+    "sum_of_coefficients": 5
+  },
+  {
+    "id": 16,
+    "polynomial": "-3 + 2x^3",
+    "degree": 3,
+    "coefficients": [
+      -3,
+      0,
+      0,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -3,
+    "sum_of_coefficients": -1
+  },
+  {
+    "id": 17,
+    "polynomial": "-4 + 2x + x^2 + 4x^3 - x^4",
+    "degree": 4,
+    "coefficients": [
+      -4,
+      2,
+      1,
+      4,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": -4,
+    "sum_of_coefficients": 2
+  },
+  {
+    "id": 18,
+    "polynomial": "-2 + 2x",
+    "degree": 1,
+    "coefficients": [
+      -2,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -2,
+    "sum_of_coefficients": 0
+  },
+  {
+    "id": 19,
+    "polynomial": "5 - x",
+    "degree": 1,
+    "coefficients": [
+      5,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 5,
+    "sum_of_coefficients": 4
+  },
+  {
+    "id": 20,
+    "polynomial": "-2x",
+    "degree": 1,
+    "coefficients": [
+      0,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 0,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 21,
+    "polynomial": "3 + 3x - 5x^2 + 5x^3 - x^4",
+    "degree": 4,
+    "coefficients": [
+      3,
+      3,
+      -5,
+      5,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 3,
+    "sum_of_coefficients": 5
+  },
+  {
+    "id": 22,
+    "polynomial": "5 - 2x + 3x^2 + 2x^3 - 2x^4",
+    "degree": 4,
+    "coefficients": [
+      5,
+      -2,
+      3,
+      2,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 5,
+    "sum_of_coefficients": 6
+  },
+  {
+    "id": 23,
+    "polynomial": "3 + 2x + x^2",
+    "degree": 2,
+    "coefficients": [
+      3,
+      2,
+      1
+    ],
+    "leading_coefficient": 1,
+    "constant_term": 3,
+    "sum_of_coefficients": 6
+  },
+  {
+    "id": 24,
+    "polynomial": "-5 - 5x - 3x^2 + 2x^3 - 2x^4",
+    "degree": 4,
+    "coefficients": [
+      -5,
+      -5,
+      -3,
+      2,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": -5,
+    "sum_of_coefficients": -13
+  },
+  {
+    "id": 25,
+    "polynomial": "-1 - x",
+    "degree": 1,
+    "coefficients": [
+      -1,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": -1,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 26,
+    "polynomial": "1 + 5x + x^2 - 3x^3",
+    "degree": 3,
+    "coefficients": [
+      1,
+      5,
+      1,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 1,
+    "sum_of_coefficients": 4
+  },
+  {
+    "id": 27,
+    "polynomial": "4 - 3x",
+    "degree": 1,
+    "coefficients": [
+      4,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 4,
+    "sum_of_coefficients": 1
+  },
+  {
+    "id": 28,
+    "polynomial": "-4 - 4x + x^2 - 3x^3",
+    "degree": 3,
+    "coefficients": [
+      -4,
+      -4,
+      1,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": -4,
+    "sum_of_coefficients": -10
+  },
+  {
+    "id": 29,
+    "polynomial": "-4 + 3x + 5x^2 + x^3 - 3x^4",
+    "degree": 4,
+    "coefficients": [
+      -4,
+      3,
+      5,
+      1,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": -4,
+    "sum_of_coefficients": 2
+  },
+  {
+    "id": 30,
+    "polynomial": "-1 + 2x - 5x^2 + 2x^3",
+    "degree": 3,
+    "coefficients": [
+      -1,
+      2,
+      -5,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -1,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 31,
+    "polynomial": "1 - 5x^2 + 3x^3",
+    "degree": 3,
+    "coefficients": [
+      1,
+      0,
+      -5,
+      3
+    ],
+    "leading_coefficient": 3,
+    "constant_term": 1,
+    "sum_of_coefficients": -1
+  },
+  {
+    "id": 32,
+    "polynomial": "1 - 4x + 3x^2",
+    "degree": 2,
+    "coefficients": [
+      1,
+      -4,
+      3
+    ],
+    "leading_coefficient": 3,
+    "constant_term": 1,
+    "sum_of_coefficients": 0
+  },
+  {
+    "id": 33,
+    "polynomial": "5x - 2x^2",
+    "degree": 2,
+    "coefficients": [
+      0,
+      5,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 0,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 34,
+    "polynomial": "5 - 3x",
+    "degree": 1,
+    "coefficients": [
+      5,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 5,
+    "sum_of_coefficients": 2
+  },
+  {
+    "id": 35,
+    "polynomial": "3 - x - 3x^2 + 5x^3 - x^4",
+    "degree": 4,
+    "coefficients": [
+      3,
+      -1,
+      -3,
+      5,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 3,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 36,
+    "polynomial": "-3x + 3x^2 + 2x^4",
+    "degree": 4,
+    "coefficients": [
+      0,
+      -3,
+      3,
+      0,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": 0,
+    "sum_of_coefficients": 2
+  },
+  {
+    "id": 37,
+    "polynomial": "5 - 2x",
+    "degree": 1,
+    "coefficients": [
+      5,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 5,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 38,
+    "polynomial": "1 - 5x - 3x^2 + 2x^3 + 3x^4",
+    "degree": 4,
+    "coefficients": [
+      1,
+      -5,
+      -3,
+      2,
+      3
+    ],
+    "leading_coefficient": 3,
+    "constant_term": 1,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 39,
+    "polynomial": "x",
+    "degree": 1,
+    "coefficients": [
+      0,
+      1
+    ],
+    "leading_coefficient": 1,
+    "constant_term": 0,
+    "sum_of_coefficients": 1
+  },
+  {
+    "id": 40,
+    "polynomial": "-1 + x - 5x^2 - 3x^3 + 2x^4",
+    "degree": 4,
+    "coefficients": [
+      -1,
+      1,
+      -5,
+      -3,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -1,
+    "sum_of_coefficients": -6
+  },
+  {
+    "id": 41,
+    "polynomial": "3 + 3x + 3x^2 - 2x^3",
+    "degree": 3,
+    "coefficients": [
+      3,
+      3,
+      3,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 3,
+    "sum_of_coefficients": 7
+  },
+  {
+    "id": 42,
+    "polynomial": "3 - 4x + 3x^2 + 3x^3",
+    "degree": 3,
+    "coefficients": [
+      3,
+      -4,
+      3,
+      3
+    ],
+    "leading_coefficient": 3,
+    "constant_term": 3,
+    "sum_of_coefficients": 5
+  },
+  {
+    "id": 43,
+    "polynomial": "-2 + 4x - 3x^3",
+    "degree": 3,
+    "coefficients": [
+      -2,
+      4,
+      0,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": -2,
+    "sum_of_coefficients": -1
+  },
+  {
+    "id": 44,
+    "polynomial": "3 - 2x - 2x^2 - x^3",
+    "degree": 3,
+    "coefficients": [
+      3,
+      -2,
+      -2,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 3,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 45,
+    "polynomial": "1 - 5x + 3x^2 - 3x^3",
+    "degree": 3,
+    "coefficients": [
+      1,
+      -5,
+      3,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 1,
+    "sum_of_coefficients": -4
+  },
+  {
+    "id": 46,
+    "polynomial": "3 - 2x - 3x^2",
+    "degree": 2,
+    "coefficients": [
+      3,
+      -2,
+      -3
+    ],
+    "leading_coefficient": -3,
+    "constant_term": 3,
+    "sum_of_coefficients": -2
+  },
+  {
+    "id": 47,
+    "polynomial": "-1 + 4x - 2x^2",
+    "degree": 2,
+    "coefficients": [
+      -1,
+      4,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": -1,
+    "sum_of_coefficients": 1
+  },
+  {
+    "id": 48,
+    "polynomial": "4 - x",
+    "degree": 1,
+    "coefficients": [
+      4,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 4,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 49,
+    "polynomial": "2x",
+    "degree": 1,
+    "coefficients": [
+      0,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": 0,
+    "sum_of_coefficients": 2
+  },
+  {
+    "id": 50,
+    "polynomial": "3 - 3x + x^2",
+    "degree": 2,
+    "coefficients": [
+      3,
+      -3,
+      1
+    ],
+    "leading_coefficient": 1,
+    "constant_term": 3,
+    "sum_of_coefficients": 1
+  },
+  {
+    "id": 51,
+    "polynomial": "1 - 5x - x^2 + 4x^3 + x^4",
+    "degree": 4,
+    "coefficients": [
+      1,
+      -5,
+      -1,
+      4,
+      1
+    ],
+    "leading_coefficient": 1,
+    "constant_term": 1,
+    "sum_of_coefficients": 0
+  },
+  {
+    "id": 52,
+    "polynomial": "1 - 2x + 3x^2 - 2x^3",
+    "degree": 3,
+    "coefficients": [
+      1,
+      -2,
+      3,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 1,
+    "sum_of_coefficients": 0
+  },
+  {
+    "id": 53,
+    "polynomial": "4 + 2x",
+    "degree": 1,
+    "coefficients": [
+      4,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": 4,
+    "sum_of_coefficients": 6
+  },
+  {
+    "id": 54,
+    "polynomial": "4x - 4x^2 - 5x^3 - x^4",
+    "degree": 4,
+    "coefficients": [
+      0,
+      4,
+      -4,
+      -5,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 0,
+    "sum_of_coefficients": -6
+  },
+  {
+    "id": 55,
+    "polynomial": "5x + x^2 - x^4",
+    "degree": 4,
+    "coefficients": [
+      0,
+      5,
+      1,
+      0,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": 0,
+    "sum_of_coefficients": 5
+  },
+  {
+    "id": 56,
+    "polynomial": "2 - 2x^2",
+    "degree": 2,
+    "coefficients": [
+      2,
+      0,
+      -2
+    ],
+    "leading_coefficient": -2,
+    "constant_term": 2,
+    "sum_of_coefficients": 0
+  },
+  {
+    "id": 57,
+    "polynomial": "1 - 5x + x^2",
+    "degree": 2,
+    "coefficients": [
+      1,
+      -5,
+      1
+    ],
+    "leading_coefficient": 1,
+    "constant_term": 1,
+    "sum_of_coefficients": -3
+  },
+  {
+    "id": 58,
+    "polynomial": "3 - x - 3x^2 + 3x^3 + x^4",
+    "degree": 4,
+    "coefficients": [
+      3,
+      -1,
+      -3,
+      3,
+      1
+    ],
+    "leading_coefficient": 1,
+    "constant_term": 3,
+    "sum_of_coefficients": 3
+  },
+  {
+    "id": 59,
+    "polynomial": "-4 - x - 4x^2 - x^3",
+    "degree": 3,
+    "coefficients": [
+      -4,
+      -1,
+      -4,
+      -1
+    ],
+    "leading_coefficient": -1,
+    "constant_term": -4,
+    "sum_of_coefficients": -10
+  },
+  {
+    "id": 60,
+    "polynomial": "-5 + x - 5x^2 + 2x^3",
+    "degree": 3,
+    "coefficients": [
+      -5,
+      1,
+      -5,
+      2
+    ],
+    "leading_coefficient": 2,
+    "constant_term": -5,
+    "sum_of_coefficients": -7
+  },
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