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mf_newforms • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [570, 2, [191, 457, 211], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 229, 'conrey_indexes': [229], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [256, 0, 256, 0, 32, 0, 1]], [11, [16, 8, -8, 1]], [13, [1024, 0, 512, 0, 48, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405446726202, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '570.2.d.c', 'level': 570, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.d.c', 'nf_label': '6.0.350464.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{1}q^{3}-q^{4}+\\beta _{3}q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '570.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 867028259089752539, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.289', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.658', 'prec': 17}, {'__RealLiteral__': 0, 'data': '176.432', 'prec': 24}, {'__RealLiteral__': 0, 'data': '162.174', 'prec': 24}, {'__RealLiteral__': 0, 'data': '9576.844', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.515', 'prec': 17}, 'traces': [6, 0, 0, -6, 0, -6, 0, 0, -6, 2, 16, 0, 0, 0, 2, 6, 0, 0, -6, 0, 0, 0, 0, 6, 2, 8, 0, 0, -20, 0, 0, 0, 0, -4, -8, 6, 0, 0, 8, -2, 8, 0, 0, -16, 0, -16, 0, 0, -22, 8, -4, 0, 0, 6, 8, 0, 0, 0, -20, -2, 28, 0, 0, -6, 16, -16, 0, 0, -16, 32, 40, 0, 0, -8, 8, 6, 0, 0, 0, 0, 6, 0, 0, 0, 20, -12, 0, 0, -48, -2, -48, 0, 0, -16, 0, -6, 0, 0, -16, -2, 80, 0, 0, -8, 32, -36, 0, 0, -44, 32, -8, 0, 0, 6, 32, 20, 0, 0, -48, 0, 30, 0, 0, 0, 48, 0, 0, 0, -12, 24, 16, 0, 0, -40, -2, 4, 0, 0, -56, 8, -16, 0, 0, -6, 8, 16, 0, 0, 8, -2, 0, 0, 0, 16, -32, -8, 0, 0, -36, 2, 16, 0, 0, -8, 32, -8, 0, 0, -18, 24, 6, 0, 0, 20, 16, 16, 0, 0, 44, 0, 4, 0, 0, 16, -16, 0, 0, 0, 0, -2, -28, 0, 0, -44, 24, 22, 0, 0, -24, -8, -40, 0, 0, 4, 48, 20, 0, 0, -16, 8, 32, 0, 0, 24, -60, -6, 0, 0, 16, -8, -80, 0, 0, 0, -2, 4, 0, 0, -4, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1], [0, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1], [2, 0, 1, 0, 0, -1], [0, -1, 0, 0, 0, 0], [0, -2, 1, -1, 1, 1], [0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, -1], [1, 0, 0, 0, 0, 0], [0, 0, 1, -1, 1, 1], [0, -1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 1, 1, 0], [0, 2, 0, -1, 1, 0], [0, 2, 0, -1, 1, 0], [1, 0, 0, 0, 0, 0], [1, -2, -1, 0, 2, 1], [2, 0, -1, 1, 1, 1], [0, -1, 0, 0, 0, 0], [0, 0, -1, 0, 0, -1], [-4, 0, 1, 0, 0, -1], [0, 0, 0, -1, 0, 0], [0, 0, 0, -1, -1, 0], [0, 1, 0, 0, 0, 0], [0, 2, 0, -1, 1, 0], [0, 0, -1, 1, 1, 1], [-2, -6, 2, -1, 1, 0], [1, 0, 0, 0, 0, 0], [0, 2, -1, 1, -1, -1], [0, -1, 0, 0, 0, 0], [2, 0, -1, 1, 1, 1], [0, 0, 0, 0, 0, 1], [0, 0, 2, 1, 1, -2], [0, 0, -1, 0, 0, -1], [0, 4, -2, 3, -3, -2], [-2, 0, -1, 0, 0, 1], [0, 0, 0, -1, 0, 0], [-2, 0, -1, 0, 0, 1], [0, 2, 0, -1, 1, 0], [0, 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6, 6, 6], [0, 16, 2, 3, -3, 2], [8, 0, 0, -9, -9, 0], [0, 10, 1, 1, -1, 1], [20, 0, 2, -7, -7, -2], [0, 8, 0, 0, 0, 0], [0, 0, 6, -9, -9, -6], [0, -8, 5, 8, -8, 5], [0, -2, 1, -3, 3, 1], [-12, 0, 9, -7, -7, -9], [0, -14, 1, 4, -4, 1], [-14, 0, -3, 0, 0, 3], [-4, 0, 8, -4, -4, -8], [0, -10, 2, 5, -5, 2], [12, 0, -9, 2, 2, 9], [-24, 0, 2, 1, 1, -2], [0, -16, 2, 0, 0, 2], [10, 0, -4, -2, -2, 4], [0, 4, 2, 6, -6, 2], [0, -4, 0, 3, -3, 0], [0, 4, 8, 0, 0, 8], [20, 0, 2, -3, -3, -2], [-8, 0, 6, -6, -6, -6], [0, 32, 0, 0, 0, 0], [0, 14, -1, 1, -1, -1], [0, 12, -1, 5, -5, -1], [16, 0, 2, 6, 6, -2], [-6, 0, -6, 0, 0, 6], [0, -30, 1, -4, 4, 1], [0, -8, 1, -1, 1, 1], [0, 24, -1, 3, -3, -1], [4, 0, -4, -2, -2, 4], [-32, 0, 2, 0, 0, -2], [-16, 0, -2, -5, -5, 2], [0, -12, 4, -9, 9, 4], [0, -18, 6, 5, -5, 6], [0, -16, 2, -5, 5, 2], [20, 0, 1, -1, -1, -1], [6, 0, 4, -7, -7, -4], [0, -28, -4, -1, 1, -4], [0, 2, 2, 0, 0, 2], [0, 0, 6, 6, -6, 6], [0, 0, -2, 2, 2, 2], [-4, 0, -10, -5, -5, 10], [-2, 0, -2, 12, 12, 2], [20, 0, -11, 3, 3, 11], [0, 12, -9, 6, -6, -9], [0, 4, -1, -9, 9, -1], [24, 0, 2, -8, -8, -2], [0, 24, -4, -2, 2, -4], [-4, 0, 2, -1, -1, -2], [0, 16, -5, -5, 5, -5], [14, 0, 6, 6, 6, -6], [-6, 0, 6, 2, 2, -6], [0, -14, -6, 6, -6, -6], [0, 16, 8, -4, 4, 8], [0, -6, 8, -2, 2, 8], [-10, 0, 12, -6, -6, -12], [-8, 0, 4, 10, 10, -4], [-12, 0, 2, 3, 3, -2], [0, 12, -3, 2, -2, -3], [0, 20, 6, 0, 0, 6], [-6, 0, 6, 7, 7, -6], [24, 0, 0, 6, 6, 0], [0, -8, -9, 1, -1, -9], [0, 2, -6, 2, -2, -6], [-12, 0, 4, 10, 10, -4], [0, -20, 0, 2, -2, 0], [0, 6, -3, -5, 5, -3], [-14, 0, 4, -2, -2, -4], [0, 8, 6, 5, -5, 6], [0, -16, -2, 0, 0, -2], [0, 4, -2, -4, 4, -2], [16, 0, 8, -2, -2, -8], [16, 0, -6, 0, 0, 6], [6, 0, -2, 8, 8, 2], [0, -12, 4, -8, 8, 4], [-20, 0, 1, 4, 4, -1], [0, -18, -7, -3, 3, -7], [0, -14, -6, 6, -6, -6], [0, -8, -3, 6, -6, -3], [28, 0, -9, 5, 5, 9], [0, 2, -2, -8, 8, -2], [0, -12, -2, 6, -6, -2], [-4, 0, -6, -5, -5, 6], [0, -8, -3, -1, 1, -3]], 'char_orbit_index': 4, 'field_poly': [2, -4, 4, 2, 2, -2, 1], 'hecke_orbit_code': 9007405446726202, 'hecke_ring_character_values': [[191, [1, 0, 0, 0, 0, 0]], [457, [-1, 0, 0, 0, 0, 0]], [211, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 23, 23, 23, 23, 23], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, -1, 0, 0, 1, 1], [0, -4, 1, 0, 0, 1], [-4, -4, 3, -3, -1, 1], [-14, 0, 1, -5, -5, -1], [-18, 18, -5, -5, -11, -11]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [13, -32, -30, -5, 10, -7], [-3, -74, -32, 10, 3, -9], [-11, -72, -10, -17, 11, -10], [-65, 68, 12, 25, -27, 12], [55, -54, -42, -30, 37, -19]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '570.2.d.c', 'level': 570, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [570, 2, [191, 457, 211], [2, 1, 2]], 'conrey_index': 229, 'cusp_dim': 112, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 206191985210, 'hecke_orbit_dims': [2, 2, 6, 6], 'label': '570.2.d', 'level': 570, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 128, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 240, 'trace_bound': 5, 'trace_display': [0, 0, 4, 0], 'traces': [16, 0, 0, -16, 4, -4, 0, 0, -16, 4, -8, 0, 0, 0, 4, 16, 0, 0, 4, -4, 0, 0, 0, 4, 0, 16, 0, 0, -32, 0, 16, 0, 0, -24, 24, 16, 0, 0, -8, -4, -16, 0, 0, 8, -4, 8, 0, 0, -16, -16, 16, 0, 0, 4, 16, 0, 0, 0, -32, -4, 16, 0, 0, -16, 32, -8, 0, 0, -16, 40, 32, 0, 0, 16, 0, -4, 0, 0, 0, 4, 16, 0, 0, 0, -8, -32, 0, 0, -48, -4, -112, 0, 0, -24, 4, -4, 0, 0, 8, 0, 56, 0, 0, -16, 24, -16, 0, 0, -32, 48, 24, 0, 0, 8, 40, 32, 0, 0, -64, 0, 80, 0, 0, -16, 100, 0, 0, 0, 8, 16, -8, 0, 0, -32, -4, 24, 0, 0, -80, -24, -32, 0, 0, -16, 24, -16, 0, 0, -8, -4, 64, 0, 0, -32, 24, 8, 0, 0, -72, 4, -48, 0, 0, 16, 0, 40, 0, 0, -16, 8, -4, 0, 0, -8, 0, -8, 0, 0, 16, 4, 16, 0, 0, -8, 0, 40, 0, 0, 0, 0, -32, 0, 0, 8, -8, 16, 0, 0, 32, 16, -64, 0, 0, -16, 8, -24, 0, 0, -40, 40, 16, 0, 0, -16, 16, -4, 0, 0, 16, -16, -128, 0, 0, 0, 0, -32, 0, 0, 48, -8, 64, 0, 0, -16, 72, 32, 0, 0, 48, 4, -32, 0, 0, -16, -4, 16, 0, 0, 40, -4, 40, 0, 0, 56, -32, 16, 0, 0, -48, -32, 32, 0, 0, 8, -72, 0, 0, 0, 0, 0, 96, 0, 0, -24, 56, 16, 0, 0, -16, -40, 48, 0, 0, -32, 0, -64, 0, 0, -80, 48, -16, 0, 0, -28, 48, -16, 0, 0, -128, 0, 0, 0, 0, 4, -24, 24, 0, 0, 104, -72, 64, 0, 0, 64, -24, 0, 0, 0, 80, -4, 0, 0, 0, -16, -64, -80, 0, 0, -16, 16, -48, 0, 0, 48, 0, 0, 0, 0, 8, 8, -16, 0, 0, 32, -32, -64, 0, 0, -64, 0, 8, 0, 0, -24, 80, 48, 0, 0, -96, 4, 16, 0, 0, 112, 64, 8, 0, 0, 16, 32, 32, 0, 0, 16, -100, 24, 0, 0, -80, -4, -72, 0, 0, 4, -96, 24, 0, 0, 104, 32, -96, 0, 0, 40, -8, -8, 0, 0, 0, 0, 176, 0, 0, -56, 4, -32, 0, 0, 16, 56, 64, 0, 0, -8, -96, 16, 0, 0, 72, -24, -16, 0, 0, 16, -112, -48, 0, 0, 64, 24, -128, 0, 0, 16, 0, 32, 0, 0, 64, -48, 16, 0, 0, -24, -40, -56, 0, 0, 240, 16, 192, 0, 0, 144, -128, -8, 0, 0, -16, -40, 104, 0, 0, -32, 8, -8, 0, 0, 128, -40, -24, 0, 0, -88, -4, 64, 0, 0, -128, 0, 0, 0, 0, -80, -104, -4, 0, 0, 8, 92, -104, 0, 0, 0, -16, 16, 0, 0, 16, -100, 16, 0, 0, 0, 48, -208, 0, 0, -16, 24, 0, 0, 0, -32, -88, -8, 0, 0, -56, -16, -112, 0, 0, 8, 96, -56, 0, 0, 112, -120, 32, 0, 0, 32, 0, 32, 0, 0, 104, 4, -64, 0, 0, -24, 0, -16, 0, 0, -16, 80, 8, 0, 0, 128, -88, 80, 0, 0, 256, 24, -112, 0, 0, 32, -184, 0, 0, 0, 208, 0, -96, 0, 0, 160, 16, 16, 0, 0, 112, -24, -160, 0, 0, 16, -32, 32, 0, 0, 16, 8, -40, 0, 0, 8, 16, 8, 0, 0, 128, 4, 16, 0, 0, -64, 36, -80, 0, 0, 64, -56, -32, 0, 0, 208, 120, 32, 0, 0, 16, -24, 16, 0, 0, -8, 16, 112, 0, 0, -128, -40, -160, 0, 0, -96, 8, 72, 0, 0, -32, -4, -16, 0, 0, 48, -32, -16, 0, 0, -48, 0, -144, 0, 0, 16, -192, -16, 0, 0, 32, 0, -96, 0, 0, -40, 40, -16, 0, 0, 72, -64, 48, 0, 0, -56, 0, 16, 0, 0, 128, -8, 64, 0, 0, 4, -40, -192, 0, 0, -128, 24, -32, 0, 0, -8, 128, 8, 0, 0, 64, 0, -88, 0, 0, 8, 48, -24, 0, 0, 64, -144, 0, 0, 0, 32, -32, -16, 0, 0, 64, -4, 48, 0, 0, -16, 48, -20, 0, 0, -16, 144, 208, 0, 0, 192, -4, 8, 0, 0, 80, 0, -24, 0, 0, -40, 64, 0, 0, 0, 32, -48, -224, 0, 0, -160, 88, 0, 0, 0, -80, 0, 224, 0, 0, 32, 8, -64, 0, 0, 64, 0, 8, 0, 0, 32, -32, -8, 0, 0, -32, 8, -128, 0, 0, -16, -104, 72, 0, 0, -112, -8, -128, 0, 0, -80, -32, -32, 0, 0, 128, -16, 48, 0, 0, 64, 48, 64, 0, 0, -144, 4, -96, 0, 0, -64, 112, 16, 0, 0, 112, -8, 232, 0, 0, 24, -16, 64, 0, 0, -160, 48, 72, 0, 0, 32, -80, 40, 0, 0, 64, -40, -176, 0, 0, -16, -156, 24, 0, 0, 56, 56, -192, 0, 0, -32, -4, 16, 0, 0, 176, -16, 32, 0, 0, 4, 120, -136, 0, 0, -144, 0, 288, 0, 0, 40, -152, -16, 0, 0, 8, 16, 96, 0, 0, 128, -8, 40, 0, 0, 176, -72, -8, 0, 0, -48, -128, 0, 0, 0, -144, 0, -112, 0, 0, 32, 0, -40, 0, 0, -56, 64, -32, 0, 0, 16, -56, -48, 0, 0, -64, 8, -64, 0, 0, -64, 32, 32, 0, 0, 32, 64, 28, 0, 0, 24, 336, 16, 0, 0, 160, -72, 112, 0, 0, -32, -24, 112, 0, 0, 64, -32, -24, 0, 0, 16, -24, -48, 0, 0, -288, -4, -80, 0, 0, 32, -264, -80, 0, 0, 24, 88, 192, 0, 0, 88, 104, 16, 0, 0, -288, 4, 32, 0, 0, -16, 0, 80, 0, 0, 128, -48, -112, 0, 0, 192, -160, -40, 0, 0, -24, 4], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 389161
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '570.2.d.c', 'target_level': 570, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 389162
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '570.2.d.c', 'target_level': 570, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 389163
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1710.2.d.f', 'target_level': 1710, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 389164
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1710.2.d.f', 'target_level': 1710, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 389165
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '2850.2.a.bl', 'target_level': 2850, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 389166
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '2850.2.a.bm', 'target_level': 2850, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 389167
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '8550.2.a.ce', 'target_level': 8550, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 389168
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '570.2.d.c', 'source_level': 570, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '8550.2.a.cq', 'target_level': 8550, 'twist_class_label': '570.2.d.c', 'twist_class_level': 570, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1059625
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 9007405446726202, 'p': 2}
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id: 1059626
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 9007405446726202, 'p': 3}
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id: 1059627
{'charpoly_factorization': [[[125, 0, -5, -16, -1, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 5}
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id: 1059628
{'charpoly_factorization': [[[256, 0, 256, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 7}
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id: 1059629
{'charpoly_factorization': [[[16, 8, -8, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 11}
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id: 1059630
{'charpoly_factorization': [[[1024, 0, 512, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 13}
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id: 1059631
{'charpoly_factorization': [[[64, 0, 432, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 17}
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id: 1059632
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 9007405446726202, 'p': 19}
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id: 1059633
{'charpoly_factorization': [[[256, 0, 320, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 23}
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id: 1059634
{'charpoly_factorization': [[[-8, 20, 10, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 29}
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id: 1059635
{'charpoly_factorization': [[[16, -16, 0, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 31}
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id: 1059636
{'charpoly_factorization': [[[1024, 0, 512, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 37}
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id: 1059637
{'charpoly_factorization': [[[400, -80, -4, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 41}
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id: 1059638
{'charpoly_factorization': [[[577600, 0, 24496, 0, 284, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 43}
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id: 1059639
{'charpoly_factorization': [[[256, 0, 320, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 47}
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id: 1059640
{'charpoly_factorization': [[[36, 0, 1], 3]], 'hecke_orbit_code': 9007405446726202, 'p': 53}
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id: 1059641
{'charpoly_factorization': [[[-8, -4, 10, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 59}
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id: 1059642
{'charpoly_factorization': [[[152, 12, -14, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 61}
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id: 1059643
{'charpoly_factorization': [[[102400, 0, 15104, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 67}
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id: 1059644
{'charpoly_factorization': [[[320, 48, -20, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 71}
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id: 1059645
{'charpoly_factorization': [[[65536, 0, 8192, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 73}
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id: 1059646
{'charpoly_factorization': [[[16, -16, 0, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 79}
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id: 1059647
{'charpoly_factorization': [[[25600, 0, 32256, 0, 368, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 83}
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id: 1059648
{'charpoly_factorization': [[[400, 176, 24, 1], 2]], 'hecke_orbit_code': 9007405446726202, 'p': 89}
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id: 1059649
{'charpoly_factorization': [[[87616, 0, 8880, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 9007405446726202, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 3, 'label': '570.2.d.c', 'level': 570, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 116950000
{'hecke_orbit_code': 9007405446726202, 'n': 1, 'trace_an': 6}
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id: 116950001
{'hecke_orbit_code': 9007405446726202, 'n': 2, 'trace_an': 0}
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id: 116950002
{'hecke_orbit_code': 9007405446726202, 'n': 3, 'trace_an': 0}
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id: 116950003
{'hecke_orbit_code': 9007405446726202, 'n': 4, 'trace_an': -6}
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id: 116950004
{'hecke_orbit_code': 9007405446726202, 'n': 5, 'trace_an': 0}
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id: 116950005
{'hecke_orbit_code': 9007405446726202, 'n': 6, 'trace_an': -6}
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id: 116950006
{'hecke_orbit_code': 9007405446726202, 'n': 7, 'trace_an': 0}
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id: 116950007
{'hecke_orbit_code': 9007405446726202, 'n': 8, 'trace_an': 0}
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id: 116950008
{'hecke_orbit_code': 9007405446726202, 'n': 9, 'trace_an': -6}
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id: 116950009
{'hecke_orbit_code': 9007405446726202, 'n': 10, 'trace_an': 2}
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id: 116950010
{'hecke_orbit_code': 9007405446726202, 'n': 11, 'trace_an': 16}
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id: 116950011
{'hecke_orbit_code': 9007405446726202, 'n': 12, 'trace_an': 0}
-
id: 116950012
{'hecke_orbit_code': 9007405446726202, 'n': 13, 'trace_an': 0}
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id: 116950013
{'hecke_orbit_code': 9007405446726202, 'n': 14, 'trace_an': 0}
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id: 116950014
{'hecke_orbit_code': 9007405446726202, 'n': 15, 'trace_an': 2}
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id: 116950015
{'hecke_orbit_code': 9007405446726202, 'n': 16, 'trace_an': 6}
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id: 116950016
{'hecke_orbit_code': 9007405446726202, 'n': 17, 'trace_an': 0}
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id: 116950017
{'hecke_orbit_code': 9007405446726202, 'n': 18, 'trace_an': 0}
-
id: 116950018
{'hecke_orbit_code': 9007405446726202, 'n': 19, 'trace_an': -6}
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id: 116950019
{'hecke_orbit_code': 9007405446726202, 'n': 20, 'trace_an': 0}
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id: 116950020
{'hecke_orbit_code': 9007405446726202, 'n': 21, 'trace_an': 0}
-
id: 116950021
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