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mf_newforms • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [576, 3, [127, 325, 65], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 193, 'conrey_indexes': [193, 385], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 1, 1]], [7, [9, 0, 3, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036546063073856, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 36, 6, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '576.2.i.k', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '288.2.i.d', 'nf_label': '4.0.144.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{12}^{3}q^{3}+(-1+\\zeta_{12})q^{5}-\\zeta_{12}^{2}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '576.2.i', 'trace_display': [0, 0, -2, 0], 'trace_hash': 1388316676016876249, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.778', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.906', 'prec': 17}, {'__RealLiteral__': 0, 'data': '90.850', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [-1, 1, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 5, -5], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, -3], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, -3, 3], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [0, 0, -3, 3], [0, 0, 0, 0], [-5, 5, 0, 0], [0, 0, 0, 0], [0, 0, 5, 0], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 0, 0], [0, 0, 7, 0], [0, 0, 0, 0], [4, -4, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-12, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, -1], [0, 0, 0, 0], [0, -7, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, -5, 5], [0, 0, 0, 0], [15, -15, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-12, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 5, 0], [0, 0, 0, 0], [-4, 4, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 0, 0], [-9, 9, 0, 0], [0, 0, 0, 0], [0, 0, 4, -4], [0, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, -1], [-1, 1, 0, 0], [0, 0, -1, 0], [0, 0, -1, 0], [-3, 3, 0, 0], [4, 0, 0, 0], [0, 0, 0, 4], [0, 0, 5, -5], [0, 1, 0, 0], [0, 0, -3, 3], [8, 0, 0, 0], [-5, 5, 0, 0], [0, 0, 5, 0], [0, 0, 7, 0], [8, 0, 0, 0], [0, 0, 1, -1], [0, -7, 0, 0], [0, 0, -5, 5], [0, 0, 0, -2], [-12, 0, 0, 0], [0, 0, -3, 0], [0, 0, 5, 0], [-4, 0, 0, 0], [0, 3, 0, 0], [0, -13, 0, 0], [0, 0, -1, 1], [0, 0, 0, -4], [0, 0, 0, 0], [1, -1, 0, 0], [0, 0, 0, 8], [0, 0, 9, -9], [0, -13, 0, 0], [0, 0, 1, -1], [-11, 11, 0, 0], [0, 0, 13, 0], [-17, 17, 0, 0], [0, 0, 0, -4], [0, 0, -9, 9], [0, -13, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, -1, 0], [11, -11, 0, 0], [22, 0, 0, 0], [0, 0, 0, 2], [0, 0, -5, 5], [0, 0, -1, 0], [0, 0, 7, 0], [15, -15, 0, 0], [10, 0, 0, 0], [0, 0, -11, 11], [0, 9, 0, 0], [0, 0, 0, -12], [-31, 31, 0, 0], [0, 0, -11, 0], [16, 0, 0, 0], [0, 0, 0, -8], [0, 27, 0, 0], [0, 19, 0, 0], [0, 0, 17, -17], [7, -7, 0, 0], [0, 0, 0, -4], [0, 0, -3, 3], [0, 1, 0, 0], [0, 17, 0, 0], [0, 0, 7, 0], [-15, 15, 0, 0], [0, 0, -13, 13], [0, 11, 0, 0], [0, -29, 0, 0], [0, 0, 0, 0], [0, 0, -19, 0], [-19, 19, 0, 0], [0, 0, 0, -6], [0, 0, 15, -15], [0, -29, 0, 0], [-8, 0, 0, 0], [-13, 13, 0, 0], [9, -9, 0, 0], [0, 0, -13, 13], [0, -15, 0, 0], [0, 0, 0, 16], [4, 0, 0, 0], [0, 0, -3, 0], [0, 0, -19, 0], [20, 0, 0, 0], [0, -21, 0, 0], [0, 1, 0, 0], [0, 0, -19, 19], [0, 0, 0, 4], [0, 0, 5, 0], [0, 0, 0, -16], [0, 0, 1, -1], [0, 0, 1, -1], [0, 0, 0, -14], [37, -37, 0, 0], [-26, 0, 0, 0], [0, 0, 0, 6], [-18, 0, 0, 0], [0, 0, -9, 0], [-16, 0, 0, 0], [0, 0, -13, 13], [0, -31, 0, 0], [0, 0, -5, 5], [-4, 0, 0, 0], [0, 0, -3, 0], [-20, 0, 0, 0], [0, 0, -1, 1], [0, 11, 0, 0], [0, 0, 7, -7], [-8, 0, 0, 0], [-5, 5, 0, 0], [0, 0, -9, 0], [0, 0, 0, 24], [0, -7, 0, 0], [0, 0, 3, -3], [0, 0, 0, 8], [-1, 1, 0, 0], [0, 0, 23, 0], [-17, 17, 0, 0], [0, -5, 0, 0], [0, 11, 0, 0], [0, 0, 0, 20], [0, 0, -11, 0], [-16, 0, 0, 0], [0, 27, 0, 0], [0, 0, 0, 24], [0, 0, 13, 0], [21, -21, 0, 0], [0, 0, 0, -2], [0, 0, -1, 1], [0, 0, 15, -15], [-6, 0, 0, 0], [43, -43, 0, 0], [1, -1, 0, 0], [-40, 0, 0, 0], [0, 0, -15, 15], [29, -29, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 12], [0, -7, 0, 0], [0, 0, -27, 27], [0, 0, 0, 4], [-24, 0, 0, 0], [0, 0, 15, 0], [0, -23, 0, 0], [0, 43, 0, 0], [0, 0, -21, 21], [0, 0, 0, -32], [-43, 43, 0, 0], [52, 0, 0, 0], [0, 0, 0, -12], [0, 0, -3, 3], [0, 0, -19, 0], [0, 0, -19, 0], [0, 0, 0, 8], [0, 35, 0, 0], [4, 0, 0, 0], [7, -7, 0, 0], [0, 0, -9, 0], [-44, 0, 0, 0], [0, 0, -19, 19], [0, 0, 0, -22], [25, -25, 0, 0], [0, 0, 5, 0], [0, 0, 0, 32], [0, -13, 0, 0]], 'char_orbit_index': 9, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 45036546063073856, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [325, [1, 0, 0, 0]], [65, [-1, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 2, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '576.2.i.k', 'level': 576, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [576, 3, [127, 325, 65], [3, 3, 1]], 'conrey_index': 193, 'cusp_dim': 168, 'dim': 44, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 549789368896, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 8], 'label': '576.2.i', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 216, 'mf_new_dim': 52, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 22, 'sturm_bound': 192, 'trace_bound': 7, 'trace_display': [0, 0, 2, 0], 'traces': [44, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, -8, 0, 0, 0, -2, 0, 0, 0, -16, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, 56, 0, 0, 0, -24, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 0, 22, 0, 0, 0, -8, 0, 0, 0, -26, 0, 0, 0, -28, 0, 0, 0, 12, 0, 0, 0, -40, 0, 0, 0, -74, 0, 0, 0, -2, 0, 0, 0, 26, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -18, 0, 0, 0, 34, 0, 0, 0, -4, 0, 0, 0, -108, 0, 0, 0, 42, 0, 0, 0, 40, 0, 0, 0, -10, 0, 0, 0, -122, 0, 0, 0, 12, 0, 0, 0, -46, 0, 0, 0, -64, 0, 0, 0, 26, 0, 0, 0, 84, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 10, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -72, 0, 0, 0, 26, 0, 0, 0, -18, 0, 0, 0, -8, 0, 0, 0, -24, 0, 0, 0, 20, 0, 0, 0, 124, 0, 0, 0, -8, 0, 0, 0, 26, 0, 0, 0, -72, 0, 0, 0, 150, 0, 0, 0, -2, 0, 0, 0, -76, 0, 0, 0, -38, 0, 0, 0, -36, 0, 0, 0, 6, 0, 0, 0, -62, 0, 0, 0, -12, 0, 0, 0, 216, 0, 0, 0, 56, 0, 0, 0, 26, 0, 0, 0, 30, 0, 0, 0, 232, 0, 0, 0, -76, 0, 0, 0, 58, 0, 0, 0, 66, 0, 0, 0, -26, 0, 0, 0, 108, 0, 0, 0, 70, 0, 0, 0, 22, 0, 0, 0, 170, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 10, 0, 0, 0, 80, 0, 0, 0, 22, 0, 0, 0, 108, 0, 0, 0, 122, 0, 0, 0, 2, 0, 0, 0, -74, 0, 0, 0, 156, 0, 0, 0, -36, 0, 0, 0, -148, 0, 0, 0, 62, 0, 0, 0, 2, 0, 0, 0, 140, 0, 0, 0, -216, 0, 0, 0, -18, 0, 0, 0, 66, 0, 0, 0, 2, 0, 0, 0, 104, 0, 0, 0, 30, 0, 0, 0, -54, 0, 0, 0, 22, 0, 0, 0, -388, 0, 0, 0, -134, 0, 0, 0, -70, 0, 0, 0, 32, 0, 0, 0, -336, 0, 0, 0, -8, 0, 0, 0, -32, 0, 0, 0, 188, 0, 0, 0, -60, 0, 0, 0, -264, 0, 0, 0, -154, 0, 0, 0, 22, 0, 0, 0, -198, 0, 0, 0, 90, 0, 0, 0, -68, 0, 0, 0, 98, 0, 0, 0, -8, 0, 0, 0, -28, 0, 0, 0, -124, 0, 0, 0, -136, 0, 0, 0, 36, 0, 0, 0, -80, 0, 0, 0, -170, 0, 0, 0, 12, 0, 0, 0, 202, 0, 0, 0, -120, 0, 0, 0, -114, 0, 0, 0, 40, 0, 0, 0, 344, 0, 0, 0, 20, 0, 0, 0, -146, 0, 0, 0, 24, 0, 0, 0, 104, 0, 0, 0, -124, 0, 0, 0, -94, 0, 0, 0, 26, 0, 0, 0, 472, 0, 0, 0, -164, 0, 0, 0, -138, 0, 0, 0, -10, 0, 0, 0, 414, 0, 0, 0, -56, 0, 0, 0, 6, 0, 0, 0, 66, 0, 0, 0, -8, 0, 0, 0, -72, 0, 0, 0, 240, 0, 0, 0, -2, 0, 0, 0, 308, 0, 0, 0, 106, 0, 0, 0, 8, 0, 0, 0, 46, 0, 0, 0, 94, 0, 0, 0, 14, 0, 0, 0, 256, 0, 0, 0, -206, 0, 0, 0, -12, 0, 0, 0, 46, 0, 0, 0, 224, 0, 0, 0, -12, 0, 0, 0, -230, 0, 0, 0, -128, 0, 0, 0, -46, 0, 0, 0, -304, 0, 0, 0, -346, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, -54, 0, 0, 0, 132, 0, 0, 0, -76, 0, 0, 0, -122, 0, 0, 0, -36, 0, 0, 0, -536, 0, 0, 0, 184, 0, 0, 0, -46, 0, 0, 0, 74, 0, 0, 0, -538, 0, 0, 0, -76, 0, 0, 0, -152, 0, 0, 0, -100, 0, 0, 0, 26, 0, 0, 0, 372, 0, 0, 0, -168, 0, 0, 0, 66, 0, 0, 0, -280, 0, 0, 0, -56, 0, 0, 0, 152, 0, 0, 0, -114, 0, 0, 0, -116, 0, 0, 0, 46, 0, 0, 0, -152, 0, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, 114, 0, 0, 0, -242, 0, 0, 0, 44, 0, 0, 0, 322, 0, 0, 0, 88, 0, 0, 0, 30, 0, 0, 0, 40, 0, 0, 0, 464, 0, 0, 0, -16, 0, 0, 0, -78, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 200, 0, 0, 0, -26, 0, 0, 0, 80, 0, 0, 0, 544, 0, 0, 0, 146, 0, 0, 0, 74, 0, 0, 0, 110, 0, 0, 0, 584, 0, 0, 0, 108, 0, 0, 0, 94, 0, 0, 0, 126, 0, 0, 0, 74, 0, 0, 0, 88, 0, 0, 0, 246, 0, 0, 0, -16, 0, 0, 0, 320, 0, 0, 0, 74, 0, 0, 0, 240, 0, 0, 0, 4, 0, 0, 0, 162, 0, 0, 0, 18, 0, 0, 0, 220, 0, 0, 0, 240, 0, 0, 0, -40, 0, 0, 0, -146, 0, 0, 0, 246, 0, 0, 0, -8, 0, 0, 0, -342, 0, 0, 0, -8, 0, 0, 0, 124, 0, 0, 0, 200, 0, 0, 0, -602, 0, 0, 0, 36, 0, 0, 0, 126, 0, 0, 0, -160, 0, 0, 0, -356, 0, 0, 0, -18, 0, 0, 0, 120, 0, 0, 0, -60, 0, 0, 0, -772, 0, 0, 0, -166, 0, 0, 0, 242, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 392087
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '288.2.i.d', 'target_level': 288, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392088
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '288.2.i.d', 'target_level': 288, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392089
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '288.2.i.d', 'target_level': 288, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 392090
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '288.2.i.d', 'target_level': 288, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 392091
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '576.2.i.k', 'target_level': 576, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 392092
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '576.2.i.k', 'target_level': 576, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392093
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '576.2.i.k', 'target_level': 576, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392094
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '576.2.i.k', 'target_level': 576, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392095
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '864.2.i.d', 'target_level': 864, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392096
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '864.2.i.d', 'target_level': 864, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392097
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '864.2.i.d', 'target_level': 864, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 392098
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '864.2.i.d', 'target_level': 864, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 392099
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1728.2.i.l', 'target_level': 1728, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392100
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1728.2.i.l', 'target_level': 1728, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392101
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1728.2.i.l', 'target_level': 1728, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392102
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1728.2.i.l', 'target_level': 1728, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392103
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2592.2.a.l', 'target_level': 2592, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 392104
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2592.2.a.l', 'target_level': 2592, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 392105
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2592.2.a.p', 'target_level': 2592, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 392106
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2592.2.a.p', 'target_level': 2592, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 392107
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '5184.2.a.bl', 'target_level': 5184, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392108
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '5184.2.a.bl', 'target_level': 5184, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392109
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '5184.2.a.bx', 'target_level': 5184, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392110
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '576.2.i.k', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '5184.2.a.bx', 'target_level': 5184, 'twist_class_label': '288.2.i.d', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1068500
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036546063073856, 'p': 2}
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id: 1068501
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 3}
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id: 1068502
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 5}
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id: 1068503
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 7}
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id: 1068504
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 11}
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id: 1068505
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 13}
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id: 1068506
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 45036546063073856, 'p': 17}
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id: 1068507
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 19}
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id: 1068508
{'charpoly_factorization': [[[5625, 0, 75, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 23}
-
id: 1068509
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 29}
-
id: 1068510
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 31}
-
id: 1068511
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 45036546063073856, 'p': 37}
-
id: 1068512
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 41}
-
id: 1068513
{'charpoly_factorization': [[[5625, 0, 75, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 43}
-
id: 1068514
{'charpoly_factorization': [[[21609, 0, 147, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 47}
-
id: 1068515
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 45036546063073856, 'p': 53}
-
id: 1068516
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 59}
-
id: 1068517
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 61}
-
id: 1068518
{'charpoly_factorization': [[[5625, 0, 75, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 67}
-
id: 1068519
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 71}
-
id: 1068520
{'charpoly_factorization': [[[12, 1], 4]], 'hecke_orbit_code': 45036546063073856, 'p': 73}
-
id: 1068521
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 79}
-
id: 1068522
{'charpoly_factorization': [[[5625, 0, 75, 0, 1], 1]], 'hecke_orbit_code': 45036546063073856, 'p': 83}
-
id: 1068523
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 45036546063073856, 'p': 89}
-
id: 1068524
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 45036546063073856, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 11, 'label': '576.2.i.k', 'level': 576, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 215253000
{'hecke_orbit_code': 45036546063073856, 'n': 1, 'trace_an': 4}
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id: 215253001
{'hecke_orbit_code': 45036546063073856, 'n': 2, 'trace_an': 0}
-
id: 215253002
{'hecke_orbit_code': 45036546063073856, 'n': 3, 'trace_an': 0}
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id: 215253003
{'hecke_orbit_code': 45036546063073856, 'n': 4, 'trace_an': 0}
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id: 215253004
{'hecke_orbit_code': 45036546063073856, 'n': 5, 'trace_an': -2}
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id: 215253005
{'hecke_orbit_code': 45036546063073856, 'n': 6, 'trace_an': 0}
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id: 215253006
{'hecke_orbit_code': 45036546063073856, 'n': 7, 'trace_an': 0}
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id: 215253007
{'hecke_orbit_code': 45036546063073856, 'n': 8, 'trace_an': 0}
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id: 215253008
{'hecke_orbit_code': 45036546063073856, 'n': 9, 'trace_an': 12}
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id: 215253009
{'hecke_orbit_code': 45036546063073856, 'n': 10, 'trace_an': 0}
-
id: 215253010
{'hecke_orbit_code': 45036546063073856, 'n': 11, 'trace_an': 0}
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id: 215253011
{'hecke_orbit_code': 45036546063073856, 'n': 12, 'trace_an': 0}
-
id: 215253012
{'hecke_orbit_code': 45036546063073856, 'n': 13, 'trace_an': -6}
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id: 215253013
{'hecke_orbit_code': 45036546063073856, 'n': 14, 'trace_an': 0}
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id: 215253014
{'hecke_orbit_code': 45036546063073856, 'n': 15, 'trace_an': 0}
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id: 215253015
{'hecke_orbit_code': 45036546063073856, 'n': 16, 'trace_an': 0}
-
id: 215253016
{'hecke_orbit_code': 45036546063073856, 'n': 17, 'trace_an': 16}
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id: 215253017
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