CoCalc Public Fileswww / 168 / notes / 2005-11-23 / sage-session.txtOpen with one click!
Author: William A. Stein
Compute Environment: Ubuntu 18.04 (Deprecated)
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[email protected]:~$ sage
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| SAGE Version 0.9.12, Build Date: 2005-11-22-0059
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|
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| Distributed under the terms of the GNU General Public Licen
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se |
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| For help type <object>?, <object>??, %magic, or help
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|
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sage: dimension_modular_forms(Gamma1(5000),2)
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_1 = 756600
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sage: dimension_modular_forms(Gamma0(5000),2)
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_2 = 810
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sage: G = DirichletGroup(5)
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sage: G
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_4 = Group of Dirichlet characters of modulus 5 over Cyclotom
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ic Field of order 4 and degree 2
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sage: list(G)
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_5 = [[1], [zeta_4], [-1], [-zeta_4]]
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sage:
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sage: eps = G.0
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sage: eps
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_7 = [zeta_4]
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sage: eps(2)
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_8 = zeta_4
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sage: eps(932840923840982)
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_9 = zeta_4
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sage: eps(93284092384098939121)
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