2022-11-24 18:59:07 +01:00
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def ith_magical_component(omega, zvee, g):
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'''Given a form omega on AS cover, element g of group AS.group and normal basis element zmag, find the decomposition
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sum_g g(zmag) omega_g and return omega_g.'''
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2022-11-18 15:00:34 +01:00
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AS = omega.curve
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p = AS.characteristic
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2022-11-24 18:59:07 +01:00
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z_vee_fct = zvee.group_action(g).function
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2022-11-18 15:00:34 +01:00
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new_form = as_form(AS, z_vee_fct*omega.form)
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return new_form.trace2()
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