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mf_newforms • Show schema
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{'Nk2': 2100, 'analytic_conductor': 4.19214610611722, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': 1, 'char_values': [525, 6, [176, 127, 451], [3, 3, 5]], 'cm_discs': [], 'conrey_index': 299, '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': [[2, [9, 0, 3, 0, 1]], [11, [12, 6, 1]], [13, [-12, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504699172553229, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 105, 16, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '525.2.q.b', 'level': 525, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '105.2.s.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 16, 'qexp_display': 'q+(-\\zeta_{12}-\\zeta_{12}^{3})q^{2}+(\\zeta_{12}+\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '525.2.q', 'trace_display': [0, 0, 0, 0], 'trace_hash': 268850870869135657, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.166', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.970', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, -1, 0, -1], [0, 1, 0, 1], [-1, 0, 1, 0], [0, 0, 0, 0], [3, 0, -3, 0], [0, -1, 0, -2], [0, -2, 0, 1], [-3, 0, 3, 0], [0, 0, 0, 0], [-2, 0, -2, 0], [0, -2, 0, 1], [0, -4, 0, 2], [-5, 0, 4, 0], [0, 0, 0, 0], [0, 0, 5, 0], [0, -6, 0, 0], [0, 6, 0, -3], [8, 0, -4, 0], [0, 0, 0, 0], [5, 0, -4, 0], [0, 0, 0, 6], [0, -1, 0, -1], [0, 0, -3, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, -6, 0, 3], [0, 3, 0, -1], [1, 0, -2, 0], [0, 0, 0, 0], [-2, 0, -2, 0], [0, 3, 0, -6], [0, 0, 0, -6], [-6, 0, 12, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 4, 0, -4], [0, -12, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [-3, 0, 0, 0], [0, -9, 0, 3], [0, 0, 0, -1], [4, 0, -2, 0], [0, 0, 0, 0], [-3, 0, 3, 0], [0, 0, 0, 0], [0, -5, 0, 10], [-8, 0, 5, 0], [0, 0, 0, 0], [6, 0, -12, 0], [0, 2, 0, -4], [0, 0, 0, 0], [0, 0, 9, 0], [0, 0, 0, 0], [-1, 0, 5, 0], [0, 12, 0, 0], [0, -3, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 3, 0], [0, 0, 0, 6], [0, 9, 0, -3], [1, 0, 0, 0], [0, 0, 0, 0], [-12, 0, 6, 0], [0, 13, 0, 0], [0, 6, 0, -6], [3, 0, -3, 0], [0, 0, 0, 0], [-4, 0, 8, 0], [0, 3, 0, -6], [0, 2, 0, -4], [-4, 0, -4, 0], [0, 0, 0, 0], [-4, 0, 8, 0], [0, -2, 0, 10], [0, -6, 0, 12], [0, 0, -16, 0], [0, 0, 0, 0], [0, 0, -9, 0], [0, 3, 0, 3], [0, 0, 0, 9], [-1, 0, 5, 0], [0, 0, 0, 0], [-2, 0, 1, 0], [0, 3, 0, -3], [0, 6, 0, 0], [0, 0, 3, 0], [0, 0, 0, 0], [-2, 0, 10, 0], [0, 2, 0, -1], [0, 0, 0, -6], [0, 0, 0, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, -12, 0, 6], [0, 13, 0, -2], [12, 0, -6, 0], [0, 0, 0, 0]], 'ap': [[0, -1, 0, -1], [0, 1, 0, 1], [0, 0, 0, 0], [0, -1, 0, -2], [-2, 0, -2, 0], [0, -4, 0, 2], [0, -6, 0, 0], [8, 0, -4, 0], [0, -1, 0, -1], [1, 0, -2, 0], [-2, 0, -2, 0], [0, 4, 0, -4], [-3, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 3, 0], [0, 13, 0, 0], [-4, 0, 8, 0], [0, 2, 0, -4], [0, 0, -16, 0], [0, 0, 0, 9], [0, 0, 3, 0], [0, -12, 0, 6], [15, 0, -15, 0], [0, 3, 0, 3], [0, 3, 0, 3], [-5, 0, 5, 0], [0, 8, 0, -4], [0, 0, 0, -16], [0, 0, -12, 0], [0, 12, 0, -24], [-6, 0, 12, 0], [26, 0, -13, 0], [2, 0, -2, 0], [0, 2, 0, -4], [0, -8, 0, 8], [0, 0, 0, 21], [0, 12, 0, -12], [6, 0, 6, 0], [3, 0, -6, 0], [12, 0, -6, 0], [0, 22, 0, 0], [0, -4, 0, 2], [-4, 0, -4, 0], [-20, 0, 0, 0], [0, 4, 0, -2], [0, -12, 0, 0], [0, 0, 0, 0], [0, -2, 0, -2], [-6, 0, 12, 0], [-4, 0, -4, 0], [-18, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, -2], [-3, 0, 3, 0], [8, 0, -4, 0], [0, -26, 0, 0], [-4, 0, 8, 0], [0, -18, 0, 36], [0, 0, 0, -24], [0, 26, 0, -13], [24, 0, -24, 0], [0, 0, 0, 0], [0, -10, 0, -10], [0, 0, -10, 0], [0, 0, 0, -32], [0, -11, 0, 22], [5, 0, -10, 0], [0, 0, 0, 0], [28, 0, -14, 0], [0, -9, 0, 18], [0, 4, 0, -4], [-16, 0, 0, 0], [0, -21, 0, 21], [-16, 0, -16, 0], [0, -14, 0, -14], [-22, 0, 11, 0], [-13, 0, -13, 0], [0, 0, 0, 0], [35, 0, 0, 0], [6, 0, 6, 0], [0, -16, 0, 8], [8, 0, -4, 0], [0, -9, 0, -9], [-7, 0, 14, 0], [0, -8, 0, 8], [-30, 0, 0, 0], [0, 0, 0, -29], [0, 21, 0, -21], [-6, 0, 6, 0], [0, 32, 0, 0], [-22, 0, 44, 0], [0, 0, -14, 0], [0, 0, 0, 15], [0, 0, -45, 0], [-30, 0, 30, 0], [0, -14, 0, -14], [0, 0, -29, 0], [0, 0, 0, -1], [0, 10, 0, -20], [0, 21, 0, 0], [-8, 0, 4, 0], [4, 0, -4, 0], [0, -14, 0, 28], [0, 0, 0, -12], [0, -48, 0, 48], [8, 0, 8, 0], [-12, 0, 24, 0], [0, -1, 0, -1], [0, 2, 0, 0], [0, 40, 0, -20], [14, 0, 14, 0], [-34, 0, 0, 0], [7, 0, 7, 0], [0, -20, 0, 10], [0, -3, 0, 0], [0, 18, 0, 18], [24, 0, -48, 0], [19, 0, 19, 0], [0, 0, 0, -4], [0, 6, 0, -6], [0, 23, 0, -46], [4, 0, -2, 0], [15, 0, -30, 0], [0, 0, 19, 0], [0, 0, 6, 0], [0, -6, 0, 3], [0, 10, 0, 10], [38, 0, -38, 0], [0, 54, 0, -27], [0, 0, 20, 0], [0, 0, 0, 22], [0, 0, -18, 0], [-24, 0, 48, 0], [0, -18, 0, 0], [0, 15, 0, -30], [0, 0, 0, 12], [-11, 0, -11, 0], [-26, 0, 52, 0], [48, 0, -24, 0], [0, 23, 0, 0], [0, 26, 0, -13], [8, 0, 8, 0], [30, 0, 0, 0], [0, -24, 0, 12], [0, 42, 0, 0], [-32, 0, 16, 0], [0, -5, 0, -5], [0, 32, 0, -32], [-9, 0, 0, 0], [0, 0, 0, 20], [0, 9, 0, -9], [0, -37, 0, 0], [-14, 0, 28, 0], [0, 0, 16, 0], [0, 0, 21, 0], [0, -56, 0, 28], [-18, 0, 18, 0], [0, -15, 0, -15], [0, 8, 0, -4], [0, 0, 0, 23], [0, 0, 12, 0], [0, 14, 0, -28], [0, 57, 0, 0], [-34, 0, 34, 0], [0, -4, 0, 8]], 'char_orbit_index': 17, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4504699172553229, 'hecke_ring_character_values': [[176, [-1, 0, 0, 0]], [127, [-1, 0, 0, 0]], [451, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '525.2.q.b', 'level': 525, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2100, 'analytic_conductor': 4.19214610611722, 'char_conductor': 105, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': 1, 'char_values': [525, 6, [176, 127, 451], [3, 3, 5]], 'conrey_index': 299, 'cusp_dim': 136, 'dim': 88, 'eis_dim': 48, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 1099545182733, 'hecke_orbit_dims': [4, 4, 4, 4, 16, 16, 40], 'label': '525.2.q', 'level': 525, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 184, 'mf_new_dim': 104, 'num_forms': 7, 'prim_orbit_index': 16, 'relative_dim': 44, 'sturm_bound': 160, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -36, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, -28, 0, 0, 18, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -96, 0, 0, 6, 0, 0, 0, 0, 0, 0, -56, 0, 0, 2, 0, 18, 0, 0, 102, 0, 0, 0, 0, 0, 0, -78, 0, 0, 32, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 14, 0, 0, -30, 0, 0, 0, 0, 0, 0, 18, 0, 0, 84, 0, 234, 0, 0, 20, 0, 0, 0, 0, 0, 0, 184, 0, 0, -26, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, -12, 0, 0, -120, 0, -170, 0, 0, 12, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, -156, 0, 0, -46, 0, 0, 0, 0, 0, 0, 74, 0, 0, 236, 0, 30, 0, 0, -6, 0, 0, 0, 0, 0, 0, -144, 0, 0, -100, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 66, 0, 0, -18, 0, 0, 0, 0, 0, 0, 300, 0, 0, 174, 0, 150, 0, 0, -60, 0, 0, 0, 0, 0, 0, 164, 0, 0, 152, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, -92, 0, 0, 30, 0, -186, 0, 0, -18, 0, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, -708, 0, 0, 126, 0, 0, 0, 0, 0, 0, -132, 0, 0, -200, 0, -14, 0, 0, 66, 0, 0, 0, 0, 0, 0, -456, 0, 0, -256, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 120, 0, 0, 12, 0, 0, 0, 0, 0, 0, -34, 0, 0, -276, 0, 396, 0, 0, -60, 0, 0, 0, 0, 0, 0, 624, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 348, 0, 162, 0, 0, -192, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, -72, 0, 0, -240, 0, 0, 0, 0, 0, 0, -146, 0, 0, 36, 0, 102, 0, 0, -306, 0, 0, 0, 0, 0, 0, -396, 0, 0, -20, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 102, 0, 0, 390, 0, 0, 0, 0, 0, 0, 220, 0, 0, 306, 0, 204, 0, 0, 340, 0, 0, 0, 0, 0, 0, 392, 0, 0, 4, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 36, 0, 0, -18, 0, 92, 0, 0, 294, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, -600, 0, 0, 204, 0, 0, 0, 0, 0, 0, -92, 0, 0, -440, 0, 192, 0, 0, -126, 0, 0, 0, 0, 0, 0, 42, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, 0, -180, 0, 0, -416, 0, 0, 0, 0, 0, 0, 186, 0, 0, -864, 0, -6, 0, 0, 336, 0, 0, 0, 0, 0, 0, 208, 0, 0, -48, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, -10, 0, 0, 168, 0, -234, 0, 0, -402, 0, 0, 0, 0, 0, 0, -840, 0, 0, 0, 0, -384, 0, 0, -228, 0, 0, 0, 0, 0, 0, -130, 0, 0, 420, 0, -52, 0, 0, -156, 0, 0, 0, 0, 0, 0, -36, 0, 0, 36, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, -30, 0, 0, 384, 0, 0, 0, 0, 0, 0, -496, 0, 0, 456, 0, 396, 0, 0, 12, 0, 0, 0, 0, 0, 0, 548, 0, 0, 68, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 252, 0, 0, 600, 0, -480, 0, 0, 900, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, -148, 0, 0, -12, 0, 0, 0, 0, 0, 0, 252, 0, 0, 24, 0, -156, 0, 0, -30, 0, 0, 0, 0, 0, 0, 12, 0, 0, -880, 0, 456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -266, 0, 154, 0, 0, -390, 0, 0, 0, 0, 0, 0, 192, 0, 0, 276, 0, 210, 0, 0, 4, 0, 0, 0, 0, 0, 0, 504, 0, 0, 40, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, -208, 0, 0, -1164, 0, -378, 0, 0, -330, 0, 0, 0, 0, 0, 0, 660, 0, 0, 0, 0, -576, 0, 0, 10, 0, 0, 0, 0, 0, 0, 232, 0, 0, -812, 0, -42, 0, 0, 6, 0, 0, 0, 0, 0, 0, -888, 0, 0, -24, 0, 396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 268, 0, 450, 0, 0, 366, 0, 0, 0, 0, 0, 0, 732, 0, 0, -456, 0, 492, 0, 0, -432, 0, 0, 0, 0, 0, 0, -168, 0, 0, 348, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, -28, 0, 0, -48, 0, 336, 0, 0, 276, 0, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 144, 0, 0, -18, 0, 0, 0, 0, 0, 0, -500, 0, 0, 70, 0, -14, 0, 0, -330, 0, 0, 0, 0, 0, 0, -84, 0, 0, 472, 0, 306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 0, 12, 0, 0, 48, 0, 0, 0, 0, 0, 0, 180, 0, 0, 588, 0, -312, 0, 0, 168, 0, 0, 0, 0, 0, 0, 8, 0, 0, -306, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 40, 0, 0, 636, 0, 444, 0, 0, -588, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, -128, 0, 0, 630, 0, 0, 0, 0, 0, 0, -316, 0, 0, 332, 0, 162, 0, 0, -270, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 367062
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '105.2.s.a', 'target_level': 105, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 367063
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '105.2.s.a', 'target_level': 105, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 367064
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '105.2.s.b', 'target_level': 105, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 367065
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '105.2.s.b', 'target_level': 105, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 367066
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.q.a', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 367067
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.q.a', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 367068
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.q.a', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 367069
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.q.a', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 367070
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.2.q.b', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 367071
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.2.q.b', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 367072
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.2.q.b', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 367073
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '525.2.q.b', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 367074
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.t.a', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 367075
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '525.2.t.a', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 367076
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '525.2.t.e', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 367077
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '525.2.t.e', 'target_level': 525, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 367078
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '735.2.b.a', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 367079
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '735.2.b.a', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 367080
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '735.2.b.b', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 367081
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '735.2.b.b', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 367082
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '735.2.s.c', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 367083
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '735.2.s.c', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 367084
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '735.2.s.e', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 367085
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '525.2.q.b', 'source_level': 525, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '735.2.s.e', 'target_level': 735, 'twist_class_label': '105.2.s.a', 'twist_class_level': 105, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1003400
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 2}
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id: 1003401
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 3}
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id: 1003402
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504699172553229, 'p': 5}
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id: 1003403
{'charpoly_factorization': [[[49, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 7}
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id: 1003404
{'charpoly_factorization': [[[12, 6, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 11}
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id: 1003405
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 13}
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id: 1003406
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 17}
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id: 1003407
{'charpoly_factorization': [[[48, -12, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 19}
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id: 1003408
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 23}
-
id: 1003409
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 29}
-
id: 1003410
{'charpoly_factorization': [[[12, 6, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 31}
-
id: 1003411
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 37}
-
id: 1003412
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 4504699172553229, 'p': 41}
-
id: 1003413
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 43}
-
id: 1003414
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504699172553229, 'p': 47}
-
id: 1003415
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504699172553229, 'p': 53}
-
id: 1003416
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504699172553229, 'p': 59}
-
id: 1003417
{'charpoly_factorization': [[[27, 9, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 61}
-
id: 1003418
{'charpoly_factorization': [[[28561, 0, -169, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 67}
-
id: 1003419
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 71}
-
id: 1003420
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4504699172553229, 'p': 73}
-
id: 1003421
{'charpoly_factorization': [[[256, 16, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 79}
-
id: 1003422
{'charpoly_factorization': [[[81, 0, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 83}
-
id: 1003423
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 89}
-
id: 1003424
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 4504699172553229, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 2, 'label': '525.2.q.b', 'level': 525, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 24432577
{'hecke_orbit_code': 4504699172553229, 'n': 1, 'trace_an': 4}
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id: 24432578
{'hecke_orbit_code': 4504699172553229, 'n': 2, 'trace_an': 0}
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id: 24432579
{'hecke_orbit_code': 4504699172553229, 'n': 3, 'trace_an': 0}
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id: 24432580
{'hecke_orbit_code': 4504699172553229, 'n': 4, 'trace_an': -2}
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id: 24432581
{'hecke_orbit_code': 4504699172553229, 'n': 5, 'trace_an': 0}
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id: 24432582
{'hecke_orbit_code': 4504699172553229, 'n': 6, 'trace_an': 6}
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