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Table modlgal_reps

mod-ell Galois reps

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{'algebraic_group': 'GL', 'bad_prime_list': [[3, '', '', '', ''], [7, '', '', '', ''], [11, '', '', '', '']], 'base_ring_characteristic': 2, 'base_ring_is_field': True, 'base_ring_order': 2, 'conductor': 231, 'conductor_is_squarefree': True, 'conductor_num_primes': 3, 'conductor_primes': [3, 7, 11], 'cyclotomic_exponent': 0, 'determinant_label': '2.1.1.1', 'dimension': 2, 'dual_pair_of_algebras': [[[0, 1], [3, 0, -1, 1]], [[0, 1], [3, 0, -1, 1]], [4, [[1, 3, 1, 1], [3, -3, -1, -1], [1, -1, 1, -17], [1, -1, -17, -23]]]], 'frobenius_matrices': [[0, 1, 1, 1], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 1], [1, 0, 0, 1], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 1], [0, 1, 1, 0], [0, 1, 1, 0], [1, 0, 0, 1], [0, 1, 1, 0]], 'generating_primes': [5, 17], 'good_prime_list': [[5, [0, 1, 1, 1]], [13, [0, 1, 1, 1]], [17, [0, 1, 1, 0]], [19, [0, 1, 1, 1]], [23, [0, 1, 1, 0]], [29, [0, 1, 1, 1]], [31, [0, 1, 1, 0]], [37, [0, 1, 1, 1]], [41, [0, 1, 1, 0]], [43, [0, 1, 1, 0]], [47, [0, 1, 1, 1]], [53, [0, 1, 1, 0]], [59, [0, 1, 1, 1]], [61, [1, 0, 0, 1]], [67, [0, 1, 1, 1]], [71, [0, 1, 1, 0]], [73, [0, 1, 1, 1]], [79, [0, 1, 1, 0]], [83, [0, 1, 1, 0]], [89, [1, 0, 0, 1]], [97, [0, 1, 1, 0]]], 'id': 935, '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': [3, 0, -1, 1], 'label': '2.2.231.1', 'num': 1, 'projective_is_surjective': True, 'projective_kernel_polynomial': [3, 0, -1, 1], 'projective_type': 'big', 'related_objects': [], 'top_slope_rational': '0', 'top_slope_real': 0.0, 'weight': 0}