Petits Discriminants de Polynômes Irréductibles

retour

Cette page contient des listes de polynômes irréductibles de Z[X] de petits discriminants.
Attention , ce n'est pas une liste de discriminants de corps de nombres. Une table de corps de nombres est disponible sur le site de l'Université de Bordeaux. Vous y trouverz aussi les bornes d'Odlyzko.
Les polynômes sont triés suivant leur signature d.r1d est le degré et r1 est le nombre de racines réelles.
Cette liste est une mise à jour des résultats de ma thèse.

Si vous connaissez des polynômes qui ont naturellement leur place dans ces listes, écrivez-moi !
Si vous voulez davantage de polynômes, ou de plus grand degré, n'hésitez pas à m'en demander !


d.r1 = 3.1, 3.3,
d.r1 = 4.0, 4.2, 4.4.
d.r1 = 5.1, 5.3, 5.5.
d.r1 = 6.0, 6.2, 6.4, 6.6.
d.r1 = 7.1, 7.3, 7.5, 7.7.
d.r1 = 8.0, 8.2, 8.4, 8.6, 8.8.
d.r1 = 9.1, 9.3, 9.5, 9.7, 9.9.
d.r1 = 10.0, 10.2, 10.4, 10.6, 10.8, 10.10.
d.r1 = 11.1, 11.3, 11.5, 11.7, 11.9, 11.11.
d.r1 = 12.0, 12.2, 12.4, 12.6, 12.8, 12.10, 12.12.
d.r1 = 13.1, 13.3, 13.5, 13.7, 13.9, 13.11, 13.13.
d.r1 = 14.0, 14.2, 14.4, 14.6, 14.8, 14.10, 14.12, 14.14.
d.r1 = 15.1, 15.3, 15.5, 15.7, 15.9, 15.11, 15.13, 15.15.
d.r1 = 16.0, 16.2, 16.4, 16.6, 16.8, 16.10, 16.12, 16.14, 16.16.
d.r1 = 17.1, 17.3, 17.5, 17.7, 17.9, 17.11, 17.13, 17.15, 17.17.
d.r1 = 18.0, 18.2, 18.4, 18.6, 18.8, 18.10, 18.12, 18.14, 18.16, 18.18.
d.r1 = 19.1, 19.3, 19.5, 19.7, 19.9, 19.11, 19.13, 19.15, 19.17, 19.19.
d.r1 = 20.0, 20.2, 20.4, 20.6, 20.8, 20.10, 20.12, 20.14, 20.16, 20.18, 20.20.
d.r1 = 21.1, 21.3, 21.5, 21.7, 21.9, 21.11, 21.13, 21.15, 21.17, 21.19, 21.21.
d.r1 = 22.0, 22.2, 22.4, 22.6, 22.8, 22.10, 22.12, 22.14, 22.16, 22.18, 22.20, 22.22.
d.r1 = 23.1, 23.3, 23.5, 23.7, 23.9, 23.11, 23.13, 23.15, 23.17, 23.19, 23.21, 23.23.
d.r1 = 24.0, 24.2, 24.4, 24.6, 24.8, 24.10, 24.12, 24.14, 24.16, 24.18, 24.20, 24.22, 24.24.
d.r1 = 25.1, 25.3, 25.5, 25.7, 25.9, 25.11, 25.13, 25.15, 25.17, 25.19, 25.21, 25.23, 25.25.
d.r1 = 26.0, 26.2, 26.4, 26.6, 26.8, 26.10, 26.12, 26.14, 26.16, 26.18, 26.20, 26.22, 26.24, 26.26.
d.r1 = 27.1, 27.3, 27.5, 27.7, 27.9, 27.11, 27.13, 27.15, 27.17, 27.19, 27.21, 27.23, 27.25, 27.27.
d.r1 = 28.0, 28.2, 28.4, 28.6, 28.8, 28.10, 28.12, 28.14, 28.16, 28.18, 28.20, 28.22, 28.24, 28.26, 28.28.
d.r1 = 29.1, 29.3, 29.5, 29.7, 29.9, 29.11, 29.13, 29.15, 29.17, 29.19, 29.21, 29.23, 29.25, 29.27, 29.29.
Les fichiers suivants sont compressés au format .gz
d.r1 = 30.0, 30.2, 30.4, 30.6, 30.8, 30.10, 30.12, 30.14, 30.16, 30.18, 30.20, 30.22, 30.24, 30.26, 30.28, 30.30.
d.r1 = 31.1, 31.3, 31.5, 31.7, 31.9, 31.11, 31.13, 31.15, 31.17, 31.19, 31.21, 31.23, 31.25, 31.27, 31.29, 31.31.
d.r1 = 32.0, 32.2, 32.4, 32.6, 32.8, 32.10, 32.12, 32.14, 32.16, 32.18, 32.20, 32.22, 32.24, 32.26, 32.28, 32.30, 32.32.
d.r1 = 33.1, 33.3, 33.5, 33.7, 33.9, 33.11, 33.13, 33.15, 33.17, 33.19, 33.21, 33.23, 33.25, 33.27, 33.29, 33.31, 33.33.
d.r1 = 34.0, 34.2, 34.4, 34.6, 34.8, 34.10, 34.12, 34.14, 34.16, 34.18, 34.20, 34.22, 34.24, 34.26, 34.28, 34.30, 34.32, 34.34.
d.r1 = 35.1, 35.3, 35.5, 35.7, 35.9, 35.11, 35.13, 35.15, 35.17, 35.19, 35.21, 35.23, 35.25, 35.27, 35.29, 35.31, 35.33, 35.35.
d.r1 = 36.0, 36.2, 36.4, 36.6, 36.8, 36.10, 36.12, 36.14, 36.16, 36.18, 36.20, 36.22, 36.24, 36.26, 36.28, 36.30, 36.32, 36.34, 36.36.
d.r1 = 37.1, 37.3, 37.5, 37.7, 37.9, 37.11, 37.13, 37.15, 37.17, 37.19, 37.21, 37.23, 37.25, 37.27, 37.29, 37.31, 37.33, 37.35, 37.37.
d.r1 = 38.0, 38.2, 38.4, 38.6, 38.8, 38.10, 38.12, 38.14, 38.16, 38.18, 38.20, 38.22, 38.24, 38.26, 38.28, 38.30, 38.32, 38.34, 38.36, 38.38.
d.r1 = 39.1, 39.3, 39.5, 39.7, 39.9, 39.11, 39.13, 39.15, 39.17, 39.19, 39.21, 39.23, 39.25, 39.27, 39.29, 39.31, 39.33, 39.35, 39.37, 39.39.
d.r1 = 40.0, 40.2, 40.4, 40.6, 40.8, 40.10, 40.12, 40.14, 40.16, 40.18, 40.20, 40.22, 40.24, 40.26, 40.28, 40.30, 40.32, 40.34, 40.36, 40.38, 40.40.
d.r1 = 41.1, 41.3, 41.5, 41.7, 41.9, 41.11, 41.13, 41.15, 41.17, 41.19, 41.21, 41.23, 41.25, 41.27, 41.29, 41.31, 41.33, 41.35, 41.37, 41.39, 41.41.
d.r1 = 42.0, 42.2, 42.4, 42.6, 42.8, 42.10, 42.12, 42.14, 42.16, 42.18, 42.20, 42.22, 42.24, 42.26, 42.28, 42.30, 42.32, 42.34, 42.36, 42.38, 42.40, 42.42.
d.r1 = 43.1, 43.3, 43.5, 43.7, 43.9, 43.11, 43.13, 43.15, 43.17, 43.19, 43.21, 43.23, 43.25, 43.27, 43.29, 43.31, 43.33, 43.35, 43.37, 43.39, 43.41, 43.43.
d.r1 = 44.0, 44.2, 44.4, 44.6, 44.8, 44.10, 44.12, 44.14, 44.16, 44.18, 44.20, 44.22, 44.24, 44.26, 44.28, 44.30, 44.32, 44.34, 44.36, 44.38, 44.40, 44.42, 44.44.
d.r1 = 45.1, 45.3, 45.5, 45.7, 45.9, 45.11, 45.13, 45.15, 45.17, 45.19, 45.21, 45.23, 45.25, 45.27, 45.29, 45.31, 45.33, 45.35, 45.37, 45.39, 45.41, 45.43, 45.45.
d.r1 = 46.0, 46.2, 46.4, 46.6, 46.8, 46.10, 46.12, 46.14, 46.16, 46.18, 46.20, 46.22, 46.24, 46.26, 46.28, 46.30, 46.32, 46.34, 46.36, 46.38, 46.40, 46.42, 46.44, 46.46.
d.r1 = 47.1, 47.3, 47.5, 47.7, 47.9, 47.11, 47.13, 47.15, 47.17, 47.19, 47.21, 47.23, 47.25, 47.27, 47.29, 47.31, 47.33, 47.35, 47.37, 47.39, 47.41, 47.43, 47.45, 47.47.
d.r1 = 48.0, 48.2, 48.4, 48.6, 48.8, 48.10, 48.12, 48.14, 48.16, 48.18, 48.20, 48.22, 48.24, 48.26, 48.28, 48.30, 48.32, 48.34, 48.36, 48.38, 48.40, 48.42, 48.44, 48.46, 48.48.
d.r1 = 49.1, 49.3, 49.5, 49.7, 49.9, 49.11, 49.13, 49.15, 49.17, 49.19, 49.21, 49.23, 49.25, 49.27, 49.29, 49.31, 49.33, 49.35, 49.37, 49.39, 49.41, 49.43, 49.45, 49.47, 49.49.
d.r1 = 50.0, 50.2, 50.4, 50.6, 50.8, 50.10, 50.12, 50.14, 50.16, 50.18, 50.20, 50.22, 50.24, 50.26, 50.28, 50.30, 50.32, 50.34, 50.36, 50.38, 50.40, 50.42, 50.44, 50.46, 50.48, 50.50.
d.r1 = 51.1, 51.3, 51.5, 51.7, 51.9, 51.11, 51.13, 51.15, 51.17, 51.19, 51.21, 51.23, 51.25, 51.27, 51.29, 51.31, 51.33, 51.35, 51.37, 51.39, 51.41, 51.43, 51.45, 51.47, 51.49, 51.51.
d.r1 = 52.0, 52.2, 52.4, 52.6, 52.8, 52.10, 52.12, 52.14, 52.16, 52.18, 52.20, 52.22, 52.24, 52.26, 52.28, 52.30, 52.32, 52.34, 52.36, 52.38, 52.40, 52.42, 52.44, 52.46, 52.48, 52.50, 52.52.
d.r1 = 53.1, 53.3, 53.5, 53.7, 53.9, 53.11, 53.13, 53.15, 53.17, 53.19, 53.21, 53.23, 53.25, 53.27, 53.29, 53.31, 53.33, 53.35, 53.37, 53.39, 53.41, 53.43, 53.45, 53.47, 53.49, 53.51, 53.53.
d.r1 = 54.0, 54.2, 54.4, 54.6, 54.8, 54.10, 54.12, 54.14, 54.16, 54.18, 54.20, 54.22, 54.24, 54.26, 54.28, 54.30, 54.32, 54.34, 54.36, 54.38, 54.40, 54.42, 54.44, 54.46, 54.48, 54.50, 54.52, 54.54.
d.r1 = 55.1, 55.3, 55.5, 55.7, 55.9, 55.11, 55.13, 55.15, 55.17, 55.19, 55.21, 55.23, 55.25, 55.27, 55.29, 55.31, 55.33, 55.35, 55.37, 55.39, 55.41, 55.43, 55.45, 55.47, 55.49, 55.51, 55.53, 55.55.
d.r1 = 56.0, 56.2, 56.4, 56.6, 56.8, 56.10, 56.12, 56.14, 56.16, 56.18, 56.20, 56.22, 56.24, 56.26, 56.28, 56.30, 56.32, 56.34, 56.36, 56.38, 56.40, 56.42, 56.44, 56.46, 56.48, 56.50, 56.52, 56.54, 56.56.
d.r1 = 57.1, 57.3, 57.5, 57.7, 57.9, 57.11, 57.13, 57.15, 57.17, 57.19, 57.21, 57.23, 57.25, 57.27, 57.29, 57.31, 57.33, 57.35, 57.37, 57.39, 57.41, 57.43, 57.45, 57.47, 57.49, 57.51, 57.53, 57.55, 57.57.
d.r1 = 58.0, 58.2, 58.4, 58.6, 58.8, 58.10, 58.12, 58.14, 58.16, 58.18, 58.20, 58.22, 58.24, 58.26, 58.28, 58.30, 58.32, 58.34, 58.36, 58.38, 58.40, 58.42, 58.44, 58.46, 58.48, 58.50, 58.52, 58.54, 58.56, 58.58.
d.r1 = 59.1, 59.3, 59.5, 59.7, 59.9, 59.11, 59.13, 59.15, 59.17, 59.19, 59.21, 59.23, 59.25, 59.27, 59.29, 59.31, 59.33, 59.35, 59.37, 59.39, 59.41, 59.43, 59.45, 59.47, 59.49, 59.51, 59.53, 59.55, 59.57, 59.59.
d.r1 = 60.0, 60.2, 60.4, 60.6, 60.8, 60.10, 60.12, 60.14, 60.16, 60.18, 60.20, 60.22, 60.24, 60.26, 60.28, 60.30, 60.32, 60.34, 60.36, 60.38, 60.40, 60.42, 60.44, 60.46, 60.48, 60.50, 60.52, 60.54, 60.56, 60.58, 60.60.
d.r1 = 61.1, 61.3, 61.5, 61.7, 61.9, 61.11, 61.13, 61.15, 61.17, 61.19, 61.21, 61.23, 61.25, 61.27, 61.29, 61.31, 61.33, 61.35, 61.37, 61.39, 61.41, 61.43, 61.45, 61.47, 61.49, 61.51, 61.53, 61.55, 61.57, 61.59, 61.61.
d.r1 = 62.0, 62.2, 62.4, 62.6, 62.8, 62.10, 62.12, 62.14, 62.16, 62.18, 62.20, 62.22, 62.24, 62.26, 62.28, 62.30, 62.32, 62.34, 62.36, 62.38, 62.40, 62.42, 62.44, 62.46, 62.48, 62.50, 62.52, 62.54, 62.56, 62.58, 62.60, 62.62.
d.r1 = 63.1, 63.3, 63.5, 63.7, 63.9, 63.11, 63.13, 63.15, 63.17, 63.19, 63.21, 63.23, 63.25, 63.27, 63.29, 63.31, 63.33, 63.35, 63.37, 63.39, 63.41, 63.43, 63.45, 63.47, 63.49, 63.51, 63.53, 63.55, 63.57, 63.59, 63.61, 63.63.
d.r1 = 64.0, 64.2, 64.4, 64.6, 64.8, 64.10, 64.12, 64.14, 64.16, 64.18, 64.20, 64.22, 64.24, 64.26, 64.28, 64.30, 64.32, 64.34, 64.36, 64.38, 64.40, 64.42, 64.44, 64.46, 64.48, 64.50, 64.52, 64.54, 64.56, 64.58, 64.60, 64.62, 64.64.
d.r1 = 65.1, 65.3, 65.5, 65.7, 65.9, 65.11, 65.13, 65.15, 65.17, 65.19, 65.21, 65.23, 65.25, 65.27, 65.29, 65.31, 65.33, 65.35, 65.37, 65.39, 65.41, 65.43, 65.45, 65.47, 65.49, 65.51, 65.53, 65.55, 65.57, 65.59, 65.61, 65.63, 65.65.
d.r1 = 66.0, 66.2, 66.4, 66.6, 66.8, 66.10, 66.12, 66.14, 66.16, 66.18, 66.20, 66.22, 66.24, 66.26, 66.28, 66.30, 66.32, 66.34, 66.36, 66.38, 66.40, 66.42, 66.44, 66.46, 66.48, 66.50, 66.52, 66.54, 66.56, 66.58, 66.60, 66.62, 66.64, 66.66.
d.r1 = 67.1, 67.3, 67.5, 67.7, 67.9, 67.11, 67.13, 67.15, 67.17, 67.19, 67.21, 67.23, 67.25, 67.27, 67.29, 67.31, 67.33, 67.35, 67.37, 67.39, 67.41, 67.43, 67.45, 67.47, 67.49, 67.51, 67.53, 67.55, 67.57, 67.59, 67.61, 67.63, 67.65, 67.67.
d.r1 = 68.0, 68.2, 68.4, 68.6, 68.8, 68.10, 68.12, 68.14, 68.16, 68.18, 68.20, 68.22, 68.24, 68.26, 68.28, 68.30, 68.32, 68.34, 68.36, 68.38, 68.40, 68.42, 68.44, 68.46, 68.48, 68.50, 68.52, 68.54, 68.56, 68.58, 68.60, 68.62, 68.64, 68.66, 68.68.
d.r1 = 69.1, 69.3, 69.5, 69.7, 69.9, 69.11, 69.13, 69.15, 69.17, 69.19, 69.21, 69.23, 69.25, 69.27, 69.29, 69.31, 69.33, 69.35, 69.37, 69.39, 69.41, 69.43, 69.45, 69.47, 69.49, 69.51, 69.53, 69.55, 69.57, 69.59, 69.61, 69.63, 69.65, 69.67, 69.69.
d.r1 = 70.0, 70.2, 70.4, 70.6, 70.8, 70.10, 70.12, 70.14, 70.16, 70.18, 70.20, 70.22, 70.24, 70.26, 70.28, 70.30, 70.32, 70.34, 70.36, 70.38, 70.40, 70.42, 70.44, 70.46, 70.48, 70.50, 70.52, 70.54, 70.56, 70.58, 70.60, 70.62, 70.64, 70.66, 70.68, 70.70.
d.r1 = 71.1, 71.3, 71.5, 71.7, 71.9, 71.11, 71.13, 71.15, 71.17, 71.19, 71.21, 71.23, 71.25, 71.27, 71.29, 71.31, 71.33, 71.35, 71.37, 71.39, 71.41, 71.43, 71.45, 71.47, 71.49, 71.51, 71.53, 71.55, 71.57, 71.59, 71.61, 71.63, 71.65, 71.67, 71.69, 71.71.
d.r1 = 72.0, 72.2, 72.4, 72.6, 72.8, 72.10, 72.12, 72.14, 72.16, 72.18, 72.20, 72.22, 72.24, 72.26, 72.28, 72.30, 72.32, 72.34, 72.36, 72.38, 72.40, 72.42, 72.44, 72.46, 72.48, 72.50, 72.52, 72.54, 72.56, 72.58, 72.60, 72.62, 72.64, 72.66, 72.68, 72.70, 72.72.
d.r1 = 73.1, 73.3, 73.5, 73.7, 73.9, 73.11, 73.13, 73.15, 73.17, 73.19, 73.21, 73.23, 73.25, 73.27, 73.29, 73.31, 73.33, 73.35, 73.37, 73.39, 73.41, 73.43, 73.45, 73.47, 73.49, 73.51, 73.53, 73.55, 73.57, 73.59, 73.61, 73.63, 73.65, 73.67, 73.69, 73.71, 73.73.
d.r1 = 74.0, 74.2, 74.4, 74.6, 74.8, 74.10, 74.12, 74.14, 74.16, 74.18, 74.20, 74.22, 74.24, 74.26, 74.28, 74.30, 74.32, 74.34, 74.36, 74.38, 74.40, 74.42, 74.44, 74.46, 74.48, 74.50, 74.52, 74.54, 74.56, 74.58, 74.60, 74.62, 74.64, 74.66, 74.68, 74.70, 74.72, 74.74.
d.r1 = 75.1, 75.3, 75.5, 75.7, 75.9, 75.11, 75.13, 75.15, 75.17, 75.19, 75.21, 75.23, 75.25, 75.27, 75.29, 75.31, 75.33, 75.35, 75.37, 75.39, 75.41, 75.43, 75.45, 75.47, 75.49, 75.51, 75.53, 75.55, 75.57, 75.59, 75.61, 75.63, 75.65, 75.67, 75.69, 75.71, 75.73, 75.75.
d.r1 = 76.0, 76.2, 76.4, 76.6, 76.8, 76.10, 76.12, 76.14, 76.16, 76.18, 76.20, 76.22, 76.24, 76.26, 76.28, 76.30, 76.32, 76.34, 76.36, 76.38, 76.40, 76.42, 76.44, 76.46, 76.48, 76.50, 76.52, 76.54, 76.56, 76.58, 76.60, 76.62, 76.64, 76.66, 76.68, 76.70, 76.72, 76.74, 76.76.
d.r1 = 77.1, 77.3, 77.5, 77.7, 77.9, 77.11, 77.13, 77.15, 77.17, 77.19, 77.21, 77.23, 77.25, 77.27, 77.29, 77.31, 77.33, 77.35, 77.37, 77.39, 77.41, 77.43, 77.45, 77.47, 77.49, 77.51, 77.53, 77.55, 77.57, 77.59, 77.61, 77.63, 77.65, 77.67, 77.69, 77.71, 77.73, 77.75, 77.77.
d.r1 = 78.0, 78.2, 78.4, 78.6, 78.8, 78.10, 78.12, 78.14, 78.16, 78.18, 78.20, 78.22, 78.24, 78.26, 78.28, 78.30, 78.32, 78.34, 78.36, 78.38, 78.40, 78.42, 78.44, 78.46, 78.48, 78.50, 78.52, 78.54, 78.56, 78.58, 78.60, 78.62, 78.64, 78.66, 78.68, 78.70, 78.72, 78.74, 78.76, 78.78.
d.r1 = 79.1, 79.3, 79.5, 79.7, 79.9, 79.11, 79.13, 79.15, 79.17, 79.19, 79.21, 79.23, 79.25, 79.27, 79.29, 79.31, 79.33, 79.35, 79.37, 79.39, 79.41, 79.43, 79.45, 79.47, 79.49, 79.51, 79.53, 79.55, 79.57, 79.59, 79.61, 79.63, 79.65, 79.67, 79.69, 79.71, 79.73, 79.75, 79.77, 79.79.
d.r1 = 80.0, 80.2, 80.4, 80.6, 80.8, 80.10, 80.12, 80.14, 80.16, 80.18, 80.20, 80.22, 80.24, 80.26, 80.28, 80.30, 80.32, 80.34, 80.36, 80.38, 80.40, 80.42, 80.44, 80.46, 80.48, 80.50, 80.52, 80.54, 80.56, 80.58, 80.60, 80.62, 80.64, 80.66, 80.68, 80.70, 80.72, 80.74, 80.76, 80.78, 80.80.

retour