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{'Nk2': 5040, 'analytic_conductor': 10.06115065468133, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [7, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1260, 1, [631, 281, 757, 1081], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [2, 1]], [17, [6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778668, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1260.2.a.g', 'level': 1260, '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': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '420.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-q^{7}-2q^{11}+4q^{13}-6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/1260/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1260.2.a', 'trace_display': [0, 0, 1, -1], 'trace_hash': 2036707812922853379, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.955', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.872', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.610', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, 4, 0, 0, 0, -6, 0, 6, 0, 0, 0, 8, 0, 1, 0, 0, 0, 2, 0, 10, 0, 0, 0, -1, 0, 2, 0, 0, 0, -10, 0, -4, 0, 0, 0, 8, 0, 1, 0, 0, 0, -4, 0, -2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 4, 0, 12, 0, 0, 0, 6, 0, -12, 0, 0, 0, 2, 0, -8, 0, 0, 0, 4, 0, -6, 0, 0, 0, 10, 0, -4, 0, 0, 0, 6, 0, 8, 0, 0, 0, -6, 0, -16, 0, 0, 0, -8, 0, 18, 0, 0, 0, 0, 0, 8, 0, 0, 0, 6, 0, -7, 0, 0, 0, 1, 0, -8, 0, 0, 0, -4, 0, -6, 0, 0, 0, 12, 0, 14, 0, 0, 0, -8, 0, 2, 0, 0, 0, 6, 0, 12, 0, 0, 0, 10, 0, -16, 0, 0, 0, -8, 0, 4, 0, 0, 0, -24, 0, 3, 0, 0, 0, -6, 0, -1, 0, 0, 0, -2, 0, -6, 0, 0, 0, 2, 0, 12, 0, 0, 0, 18, 0, 10, 0, 0, 0, -8, 0, -6, 0, 0, 0, -2, 0, -10, 0, 0, 0, -12, 0, -4, 0, 0, 0, -4, 0, -10, 0, 0, 0, -24, 0, -12, 0, 0, 0, -20, 0, -10, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [1], [0], [-1], [0], [0], [0], [-2], [0], [4], [0], [0], [0], [-6], [0], [6], [0], [0], [0], [8], [0], [1], [0], [0], [0], [2], [0], [10], [0], [0], [0], [-1], [0], [2], [0], [0], [0], [-10], [0], [-4], [0], [0], [0], [8], [0], [1], [0], [0], [0], [-4], [0], [-2], [0], [0], [0], [8], [0], [6], [0], [0], [0], [4], [0], [12], [0], [0], [0], [6], [0], [-12], [0], [0], [0], [2], [0], [-8], [0], [0], [0], [4], [0], [-6], [0], [0], [0], [10], [0], [-4], [0], [0], [0], [6], [0], [8], [0], [0], [0]], 'ap': [[0], [0], [1], [-1], [-2], [4], [-6], [6], [8], [2], [10], [2], [-10], [-4], [8], [-4], [8], [6], [12], [6], [-12], [-8], [4], [10], [8], [-6], [-16], [-8], [18], [0], [-8], [-4], [12], [14], [6], [12], [-16], [4], [-24], [-6], [-2], [-6], [18], [10], [-8], [-6], [-4], [-12], [-20], [-10], [-24], [6], [-26], [-16], [14], [12], [10], [14], [-22], [10], [4], [-30], [-16], [-24], [0], [12], [-28], [-6], [4], [-18], [18], [2], [4], [-18], [-16], [-8], [38], [-28], [38], [-22], [20], [-26], [30], [16], [26], [-28], [-26], [30], [30], [-16], [-12], [8], [-16], [22], [40], [24], [-14], [-42], [32], [-10], [4], [-12], [-28], [30], [16], [-8], [-12], [-22], [34], [-26], [20], [-14], [32], [-10], [40], [-30], [-16], [8], [-16], [18], [-18], [46], [34], [20], [42], [-30], [38], [-20], [-4], [44], [-40], [20], [-40], [38], [18], [22], [18], [-32], [-30], [-30], [-42], [18], [0], [-8], [-14], [-44], [4], [38], [-6], [-16], [26], [-46], [-36], [-8], [-28], [-22], [-24], [42], [12], [-18], [20], [32], [40], [24], [0], [8], [16], [-52], [14], [-30], [-42], [10], [22], [-14], [14], [46], [-52], [-58], [20], [-14], [-24], [40], [-18], [10], [12], [-54], [-14], [24], [-2], [-36], [-24], [-48], [32], [-58], [-20], [58], [-34], [-2], [-50], [56], [10], [26], [32], [22], [-40], [-30], [-2], [-32], [-54], [-22], [22], [-70], [32], [36], [4], [-50], [-8], [-30], [-12], [56], [-58], [26], [-22], [-64], [-36], [10], [-2], [-38], [8], [46], [-10], [46], [52], [26], [56], [-40], [-22], [24], [-2], [-20], [0], [14], [64], [-70], [54], [-36], [-68], [28], [-12], [-48], [10], [66], [-48], [10], [-54], [70], [26], [4], [10], [-40], [-24], [-36], [-10], [72], [50], [-14], [18], [-58], [44], [56], [-62], [12], [32], [48], [24], [12], [72], [-34], [26], [48], [56], [-40], [48], [10], [-64], [18], [38], [-12], [34], [26], [2], [36], [-24], [-68], [-74], [30], [-2], [6], [-24], [24], [-20], [48], [-4], [-36], [-32], [-70], [-40], [14], [-66], [38], [-24], [10], [-90], [76], [72], [-34], [44], [-30], [40], [46], [-54], [62], [6], [64], [12], [38], [0], [4], [-72], [-36], [18], [-40], [-18], [-12], [-12], [28], [70], [30], [-74], [4], [-10], [-48], [18], [28], [-8], [-30], [-26], [-52], [-12], [-62], [-26], [-82], [42], [-16], [66], [18], [84], [12], [0], [-68], [-58], [70], [84], [34], [-48], [-50], [-34], [-24], [-6], [-42], [66], [-60], [-18], [-10], [-46], [60], [2], [-48], [-34], [-76], [-78], [48], [48], [-84], [-2], [96], [-40], [12], [-52], [8], [22], [-66], [18], [88], [46], [-14], [-98], [90], [-72], [18], [-38], [-24], [-72], [-66], [6], [-42], [-14], [-42], [-12], [-24], [-12], [28], [-84], [44], [42], [-70], [86], [12], [50], [-88], [14], [-100], [-12], [-96], [16], [-46], [-32], [6], [34], [36]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797778668, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1260.2.a.g', 'level': 1260, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [13, 18, 20, 14, 16, 16, 16, 16, 17, 17, 15, 15, 16, 15, 15, 16], 'Nk2': 5040, 'analytic_conductor': 10.06115065468133, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1260, 1, [631, 281, 757, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 265, 'dim': 10, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17], 'hecke_orbit_code': 33555692, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '1260.2.a', 'level': 1260, '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': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 312, 'mf_new_dim': 10, 'num_forms': 10, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 576, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, -12, 0, 8, 0, 0, 0, 0, 0, 10, 0, 0, 0, 10, 0, 4, 0, 0, 0, -2, 0, 8, 0, 0, 0, 4, 0, 12, 0, 0, 0, 20, 0, 10, 0, 0, 0, -4, 0, -8, 0, 0, 0, 12, 0, -16, 0, 0, 0, -10, 0, 20, 0, 0, 0, 16, 0, 16, 0, 0, 0, -8, 0, -14, 0, 0, 0, 32, 0, -2, 0, 0, 0, 0, 0, -14, 0, 0, 0, 12, 0, 4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 12, 0, -22, 0, 0, 0, -24, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, -52, 0, 0, 0, 28, 0, 12, 0, 0, 0, 16, 0, 20, 0, 0, 0, 4, 0, 0, 0, 0, 0, -20, 0, 2, 0, 0, 0, -4, 0, -24, 0, 0, 0, 4, 0, 56, 0, 0, 0, -12, 0, -24, 0, 0, 0, -28, 0, 0, 0, 0, 0, -40, 0, 4, 0, 0, 0, 12, 0, 60, 0, 0, 0, 2, 0, -24, 0, 0, 0, -4, 0, 28, 0, 0, 0, -16, 0, 4, 0, 0, 0, 8, 0, 42, 0, 0, 0, -8, 0, -4, 0, 0, 0, -22, 0, -20, 0, 0, 0, -20, 0, 4, 0, 0, 0, -48, 0, -18, 0, 0, 0, -18, 0, -20, 0, 0, 0, 0, 0, -20, 0, 0, 0, -116, 0, -16, 0, 0, 0, -24, 0, 4, 0, 0, 0, 44, 0, -20, 0, 0, 0, -20, 0, -16, 0, 0, 0, -6, 0, -32, 0, 0, 0, 34, 0, -84, 0, 0, 0, 28, 0, 0, 0, 0, 0, 68, 0, 36, 0, 0, 0, 12, 0, -8, 0, 0, 0, 16, 0, -4, 0, 0, 0, 0, 0, 12, 0, 0, 0, 44, 0, 34, 0, 0, 0, -36, 0, -4, 0, 0, 0, 2, 0, -64, 0, 0, 0, 36, 0, 40, 0, 0, 0, 4, 0, 0, 0, 0, 0, -56, 0, -48, 0, 0, 0, 44, 0, -24, 0, 0, 0, 56, 0, -22, 0, 0, 0, -36, 0, 20, 0, 0, 0, 28, 0, -24, 0, 0, 0, -20, 0, 24, 0, 0, 0, -72, 0, -2, 0, 0, 0, 62, 0, 76, 0, 0, 0, -8, 0, -52, 0, 0, 0, 30, 0, 36, 0, 0, 0, 56, 0, -48, 0, 0, 0, -20, 0, 40, 0, 0, 0, -12, 0, -70, 0, 0, 0, -12, 0, 16, 0, 0, 0, 18, 0, -80, 0, 0, 0, 24, 0, -44, 0, 0, 0, -28, 0, -8, 0, 0, 0, -14, 0, 52, 0, 0, 0, -4, 0, -92, 0, 0, 0, -56, 0, 24, 0, 0, 0, -36, 0, -52, 0, 0, 0, 108, 0, 8, 0, 0, 0, -12, 0, 4, 0, 0, 0, -38, 0, -16, 0, 0, 0, 22, 0, 68, 0, 0, 0, -8, 0, -50, 0, 0, 0, 100, 0, -12, 0, 0, 0, -20, 0, -4, 0, 0, 0, -6, 0, 60, 0, 0, 0, -32, 0, 88, 0, 0, 0, 36, 0, 82, 0, 0, 0, -60, 0, -16, 0, 0, 0, -6, 0, 62, 0, 0, 0, 48, 0, 16, 0, 0, 0, 56, 0, 24, 0, 0, 0, -104, 0, 32, 0, 0, 0, 40, 0, 28, 0, 0, 0, 76, 0, 80, 0, 0, 0, 0, 0, 156, 0, 0, 0, 40, 0, 12, 0, 0, 0, -56, 0, 24, 0, 0, 0, -4, 0, 12, 0, 0, 0, 2, 0, 120, 0, 0, 0, 48, 0, -52, 0, 0, 0, 58, 0, -100, 0, 0, 0, 48, 0, -20, 0, 0, 0, -40, 0, 10, 0, 0, 0, -60, 0, -106, 0, 0, 0, -12, 0, -4, 0, 0, 0, -108, 0, -68, 0, 0, 0, -72, 0, 108, 0, 0, 0, -124, 0, -56, 0, 0, 0, 10, 0, -72, 0, 0, 0, -16, 0, 32, 0, 0, 0, -144, 0, 104, 0, 0, 0, 60, 0, 14, 0, 0, 0, 16, 0, 8, 0, 0, 0, -84, 0, 0, 0, 0, 0, -40, 0, 100, 0, 0, 0, 26, 0, 24, 0, 0, 0, 12, 0, 126, 0, 0, 0, 184, 0, -2, 0, 0, 0, -4, 0, -26, 0, 0, 0, 10, 0, 24, 0, 0, 0, 48, 0, 68, 0, 0, 0, 36, 0, -90, 0, 0, 0, -100, 0, -40, 0, 0, 0, -8, 0, 18, 0, 0, 0, 56, 0, -32, 0, 0, 0, 108, 0, 16, 0, 0, 0, 52, 0, 8, 0, 0, 0, 4, 0, 4, 0, 0, 0, 8, 0, 40, 0, 0, 0, -20, 0, 4, 0, 0, 0, 28, 0, 16, 0, 0, 0, -60, 0, -22, 0, 0, 0, 16, 0, 16, 0, 0, 0, -42, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 94, 0, -12, 0, 0, 0, 88, 0, 44, 0, 0, 0, -12, 0, 6, 0, 0, 0, -36, 0, -48, 0, 0, 0, 8, 0, -16, 0, 0, 0, -72, 0, -160, 0, 0, 0, 40, 0, -64, 0, 0, 0, -124, 0, 14, 0, 0, 0, 178, 0, -44, 0, 0, 0, -2, 0, -76, 0, 0, 0, -176, 0, -16, 0, 0, 0, 56, 0, 44, 0, 0, 0, 76, 0, -24, 0, 0, 0, 116, 0, -68, 0, 0, 0, -28, 0, -40, 0, 0, 0, 120, 0, -80, 0, 0, 0, 8, 0, -38, 0, 0, 0, 168, 0, 8, 0, 0, 0, 12, 0, 8, 0, 0, 0, 62, 0, -12, 0, 0, 0, -128, 0, -24, 0, 0, 0, 68, 0, 12, 0, 0, 0, -108, 0, 16, 0, 0, 0, 0, 0, 26, 0, 0, 0, 48, 0, -4, 0, 0, 0, 68, 0, 0, 0, 0, 0, -36, 0, 80, 0, 0, 0, 28, 0, 52, 0, 0, 0, -112, 0, -16, 0, 0, 0, -36, 0, -164, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 685959
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.a.a', 'target_level': 420, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 685960
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1260.2.a.g', 'target_level': 1260, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 685961
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1680.2.a.n', 'target_level': 1680, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 685962
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2100.2.a.q', 'target_level': 2100, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 685963
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2100.2.k.g', 'target_level': 2100, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 685964
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2940.2.a.l', 'target_level': 2940, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 685965
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2940.2.q.a', 'target_level': 2940, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 685966
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2940.2.q.m', 'target_level': 2940, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 685967
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '5040.2.a.bl', 'target_level': 5040, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 685968
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6300.2.a.v', 'target_level': 6300, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 685969
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '6300.2.k.e', 'target_level': 6300, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 685970
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '6720.2.a.bd', 'target_level': 6720, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 685971
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '6720.2.a.cb', 'target_level': 6720, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 685972
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '8400.2.a.c', 'target_level': 8400, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 685973
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1260.2.a.g', 'source_level': 1260, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '8820.2.a.f', 'target_level': 8820, 'twist_class_label': '420.2.a.a', 'twist_class_level': 420, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1805775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 2}
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id: 1805776
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 3}
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id: 1805777
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 5}
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id: 1805778
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 7}
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id: 1805779
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 11}
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id: 1805780
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 13}
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id: 1805781
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 17}
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id: 1805782
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 19}
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id: 1805783
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 23}
-
id: 1805784
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 29}
-
id: 1805785
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 31}
-
id: 1805786
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 37}
-
id: 1805787
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 41}
-
id: 1805788
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 43}
-
id: 1805789
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 47}
-
id: 1805790
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 53}
-
id: 1805791
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 59}
-
id: 1805792
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 61}
-
id: 1805793
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 67}
-
id: 1805794
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 71}
-
id: 1805795
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 73}
-
id: 1805796
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 79}
-
id: 1805797
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 83}
-
id: 1805798
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 89}
-
id: 1805799
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778668, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1260.2.a.g', 'level': 1260, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 45151525
{'hecke_orbit_code': 27021597797778668, 'n': 1, 'trace_an': 1}
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id: 45151526
{'hecke_orbit_code': 27021597797778668, 'n': 2, 'trace_an': 0}
-
id: 45151527
{'hecke_orbit_code': 27021597797778668, 'n': 3, 'trace_an': 0}
-
id: 45151528
{'hecke_orbit_code': 27021597797778668, 'n': 4, 'trace_an': 0}
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id: 45151529
{'hecke_orbit_code': 27021597797778668, 'n': 5, 'trace_an': 1}
-
id: 45151530
{'hecke_orbit_code': 27021597797778668, 'n': 6, 'trace_an': 0}
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id: 45151531
{'hecke_orbit_code': 27021597797778668, 'n': 7, 'trace_an': -1}
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id: 45151532
{'hecke_orbit_code': 27021597797778668, 'n': 8, 'trace_an': 0}
-
id: 45151533
{'hecke_orbit_code': 27021597797778668, 'n': 9, 'trace_an': 0}
-
id: 45151534
{'hecke_orbit_code': 27021597797778668, 'n': 10, 'trace_an': 0}
-
id: 45151535
{'hecke_orbit_code': 27021597797778668, 'n': 11, 'trace_an': -2}
-
id: 45151536
{'hecke_orbit_code': 27021597797778668, 'n': 12, 'trace_an': 0}
-
id: 45151537
{'hecke_orbit_code': 27021597797778668, 'n': 13, 'trace_an': 4}
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id: 45151538
{'hecke_orbit_code': 27021597797778668, 'n': 14, 'trace_an': 0}
-
id: 45151539
{'hecke_orbit_code': 27021597797778668, 'n': 15, 'trace_an': 0}
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