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Table modlgal_reps

mod-ell Galois reps

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{'algebraic_group': 'GL', 'bad_prime_list': [[227, '', '', '', '']], 'base_ring_characteristic': 2, 'base_ring_is_field': True, 'base_ring_order': 2, 'conductor': 227, 'conductor_is_squarefree': True, 'conductor_num_primes': 1, 'conductor_primes': [227], 'cyclotomic_exponent': 0, 'determinant_label': '2.1.1.1', 'dimension': 2, 'dual_pair_of_algebras': [[[0, 1], [-12, -4, 0, 1]], [[0, 1], [-12, -4, 0, 1]], [4, [[1, 3, 0, 8], [3, -3, 0, -8], [0, 0, 16, 72], [8, -8, 72, 0]]]], 'frobenius_matrices': [[1, 0, 0, 1], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 0], [0, 1, 1, 0], [0, 1, 1, 1], [1, 0, 0, 1], [0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 1], [1, 0, 0, 1], [0, 1, 1, 0], [0, 1, 1, 1], [1, 0, 0, 1]], 'generating_primes': [5, 7], 'good_prime_list': [[3, [1, 0, 0, 1]], [5, [0, 1, 1, 0]], [7, [0, 1, 1, 1]], [11, [0, 1, 1, 1]], [13, [0, 1, 1, 0]], [17, [0, 1, 1, 0]], [19, [0, 1, 1, 1]], [23, [0, 1, 1, 1]], [29, [0, 1, 1, 1]], [31, [0, 1, 1, 0]], [37, [0, 1, 1, 0]], [41, [0, 1, 1, 0]], [43, [0, 1, 1, 1]], [47, [1, 0, 0, 1]], [53, [0, 1, 1, 1]], [59, [0, 1, 1, 1]], [61, [0, 1, 1, 0]], [67, [0, 1, 1, 0]], [71, [0, 1, 1, 1]], [73, [0, 1, 1, 1]], [79, [1, 0, 0, 1]], [83, [0, 1, 1, 0]], [89, [0, 1, 1, 1]], [97, [1, 0, 0, 1]]], 'id': 933, 'image_index': 1, 'image_label': '2G', 'image_order': 6, 'image_type': 'big', 'is_absolutely_irreducible': True, 'is_irreducible': True, 'is_solvable': True, 'is_surjective': True, 'kernel_polynomial': [-12, -4, 0, 1], 'label': '2.2.227.1', 'num': 1, 'projective_is_surjective': True, 'projective_kernel_polynomial': [-12, -4, 0, 1], 'projective_type': 'big', 'related_objects': [], 'top_slope_rational': '1', 'top_slope_real': 1.0, 'weight': 0}