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{'Nk2': 14400, 'analytic_conductor': 28.746144727660937, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3600, 1, [3151, 901, 2801, 577], [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': [[7, [2, 1]], [11, [-2, 1]], [13, [-6, 1]], [17, [2, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816744976, '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': '3600.2.a.o', 'level': 3600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '30.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}+2q^{11}+6q^{13}-2q^{17}-4q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/3600/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3600.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 1112304300895625283, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [-2], [0], [0], [0], [2], [0], [6], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [0], [0], [0], [8], [0], [0], [0], [0], [0], [2], [0], [0], [0], [-2], [0], [4], [0], [0], [0], [-8], [0], [-3], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [10], [0], [2], [0], [0], [0], [0], [0], [8], [0], [0], [0], [12], [0], [-4], [0], [0], [0], [-4], [0], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [0], [10], [0], [-12], [0], [0], [0], [0], [0], [-8], [0], [0], [0]], 'ap': [[0], [0], [0], [-2], [2], [6], [-2], [0], [-4], [0], [8], [2], [-2], [4], [-8], [-6], [10], [2], [8], [12], [-4], [0], [-4], [10], [-8], [8], [14], [12], [10], [-6], [-2], [-18], [18], [20], [20], [8], [22], [-16], [12], [14], [10], [2], [12], [-4], [-22], [0], [-12], [-26], [-28], [-10], [14], [20], [22], [-18], [18], [-4], [0], [8], [2], [18], [-16], [-6], [-12], [12], [-4], [-2], [8], [-28], [12], [10], [14], [0], [-2], [6], [-20], [16], [-20], [2], [-22], [-10], [-10], [22], [32], [-4], [0], [36], [-30], [32], [-12], [-6], [12], [20], [18], [-18], [0], [-24], [0], [-22], [-16], [-38], [28], [18], [-44], [10], [8], [32], [12], [-6], [0], [2], [-22], [26], [-2], [-20], [-32], [-2], [24], [-48], [-26], [-50], [2], [36], [-2], [-4], [8], [-32], [30], [-40], [18], [-14], [-40], [-24], [-32], [2], [18], [-30], [54], [-32], [-2], [30], [-52], [8], [-6], [-28], [-30], [40], [-14], [-42], [-20], [36], [22], [18], [24], [12], [-12], [-48], [0], [-30], [-8], [28], [12], [-46], [38], [-18], [-42], [16], [8], [-18], [-10], [54], [-30], [-18], [32], [-44], [-40], [-30], [28], [-12], [34], [-10], [-62], [22], [-14], [18], [16], [60], [-58], [-16], [50], [52], [36], [-4], [-52], [-12], [12], [-6], [-18], [6], [18], [16], [-60], [48], [-18], [-50], [50], [18], [0], [-4], [50], [8], [52], [-12], [14], [12], [-20], [22], [38], [-22], [-8], [34], [-18], [-40], [30], [-46], [12], [30], [34], [40], [-22], [2], [46], [20], [-32], [18], [-56], [-28], [30], [-46], [-30], [12], [36], [-32], [34], [10], [-26], [60], [-42], [42], [40], [-4], [42], [-2], [-68], [70], [-46], [30], [-38], [8], [-22], [-68], [54], [-28], [70], [-14], [18], [40], [60], [-2], [64], [-66], [62], [68], [76], [-40], [-28], [14], [52], [-70], [-58], [-18], [36], [-32], [-8], [22], [-52], [-28], [-24], [-82], [40], [-50], [28], [12], [54], [42], [26], [-60], [48], [54], [50], [-12], [76], [-42], [40], [36], [-32], [32], [-68], [-10], [-20], [6], [36], [0], [18], [-36], [32], [-10], [10], [-68], [-4], [30], [88], [-68], [-72], [-86], [54], [-58], [-60], [-36], [32], [-26], [22], [-62], [40], [-44], [-12], [12], [-50], [-66], [-38], [-2], [6], [38], [40], [-32], [34], [-30], [-18], [-52], [-68], [-42], [28], [-48], [48], [54], [50], [54], [0], [42], [58], [-4], [62], [78], [-48], [50], [-72], [-64], [18], [-66], [42], [82], [-20], [-64], [0], [-72], [-78], [50], [-8], [-24], [-30], [-8], [-12], [74], [38], [-82], [60], [36], [-72], [-38], [84], [92], [50], [-6], [-30], [8], [-8], [-64], [40], [-10], [88], [-12], [-50], [34], [38], [18], [0], [-32], [42], [-102], [-16], [-90], [-104], [18], [36], [8], [92], [-32], [-40], [78], [58], [36], [-60], [22], [-88], [30], [-44], [18], [76], [-10], [48], [-40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 63050394816744976, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3600.2.a.o', 'level': 3600, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 6, 7, 7, 5, 4, 6, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 1, 2], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 17, 16], 'ALdims_old': [75, 76, 77, 73, 79, 76, 72, 75], 'Nk2': 14400, 'analytic_conductor': 28.746144727660937, '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': [3600, 1, [3151, 901, 2801, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 46, 'eis_dim': 143, 'eis_new_dim': 3, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], 'label': '3600.2.a', 'level': 3600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 792, 'mf_new_dim': 49, 'num_forms': 45, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 1440, 'trace_bound': 17, 'trace_display': [0, 0, 0, 2], 'traces': [46, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 2, 0, 0, 0, -22, 0, 42, 0, 0, 0, -2, 0, 0, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, -20, 0, 20, 0, 0, 0, -16, 0, 20, 0, 0, 0, -10, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 12, 0, 0, 0, 38, 0, 14, 0, 0, 0, 42, 0, 12, 0, 0, 0, 14, 0, 0, 0, 0, 0, 28, 0, 26, 0, 0, 0, 0, 0, 42, 0, 0, 0, 8, 0, 24, 0, 0, 0, 6, 0, 56, 0, 0, 0, 32, 0, 0, 0, 0, 0, 18, 0, -8, 0, 0, 0, 0, 0, -20, 0, 0, 0, -36, 0, 66, 0, 0, 0, -62, 0, 42, 0, 0, 0, 46, 0, 0, 0, 0, 0, -24, 0, -32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 12, 0, 0, 0, 0, 0, 22, 0, -52, 0, 0, 0, -20, 0, 0, 0, 0, 0, -36, 0, 60, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 6, 0, 0, 0, 90, 0, -8, 0, 0, 0, -34, 0, 0, 0, 0, 0, 120, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, -16, 0, 0, 0, -18, 0, 60, 0, 0, 0, 46, 0, 0, 0, 0, 0, 58, 0, 104, 0, 0, 0, 0, 0, -16, 0, 0, 0, -2, 0, -30, 0, 0, 0, -100, 0, 10, 0, 0, 0, -42, 0, 0, 0, 0, 0, -148, 0, 20, 0, 0, 0, 0, 0, -82, 0, 0, 0, 84, 0, 40, 0, 0, 0, 14, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 52, 0, 0, 0, 0, 0, -20, 0, 0, 0, 104, 0, -116, 0, 0, 0, 98, 0, -12, 0, 0, 0, 54, 0, 0, 0, 0, 0, 112, 0, -22, 0, 0, 0, 0, 0, 58, 0, 0, 0, 76, 0, 20, 0, 0, 0, 20, 0, 24, 0, 0, 0, 22, 0, 0, 0, 0, 0, -6, 0, -140, 0, 0, 0, 0, 0, 52, 0, 0, 0, -98, 0, 16, 0, 0, 0, -96, 0, -56, 0, 0, 0, 40, 0, 0, 0, 0, 0, 32, 0, -52, 0, 0, 0, 0, 0, -28, 0, 0, 0, -4, 0, -40, 0, 0, 0, -8, 0, -148, 0, 0, 0, -58, 0, 0, 0, 0, 0, 2, 0, -60, 0, 0, 0, 0, 0, -52, 0, 0, 0, -58, 0, 78, 0, 0, 0, 114, 0, -28, 0, 0, 0, -80, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 122, 0, 0, 0, -88, 0, -68, 0, 0, 0, -24, 0, 76, 0, 0, 0, 30, 0, 0, 0, 0, 0, -106, 0, -76, 0, 0, 0, 0, 0, 16, 0, 0, 0, 86, 0, 122, 0, 0, 0, -120, 0, -54, 0, 0, 0, -92, 0, 0, 0, 0, 0, -268, 0, 72, 0, 0, 0, 0, 0, -34, 0, 0, 0, -80, 0, 0, 0, 0, 0, -74, 0, 4, 0, 0, 0, -66, 0, 0, 0, 0, 0, -54, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 4, 0, -16, 0, 0, 0, 90, 0, 24, 0, 0, 0, 102, 0, 0, 0, 0, 0, 232, 0, -132, 0, 0, 0, 0, 0, 50, 0, 0, 0, -60, 0, 44, 0, 0, 0, 30, 0, -12, 0, 0, 0, 52, 0, 0, 0, 0, 0, 92, 0, 104, 0, 0, 0, 0, 0, 56, 0, 0, 0, -90, 0, -118, 0, 0, 0, -118, 0, -48, 0, 0, 0, 110, 0, 0, 0, 0, 0, -56, 0, -16, 0, 0, 0, 0, 0, -132, 0, 0, 0, -192, 0, -104, 0, 0, 0, 70, 0, -76, 0, 0, 0, -74, 0, 0, 0, 0, 0, 36, 0, -36, 0, 0, 0, 0, 0, 60, 0, 0, 0, -150, 0, -216, 0, 0, 0, 140, 0, 8, 0, 0, 0, -120, 0, 0, 0, 0, 0, -56, 0, 20, 0, 0, 0, 0, 0, 66, 0, 0, 0, -84, 0, -8, 0, 0, 0, -48, 0, -4, 0, 0, 0, 22, 0, 0, 0, 0, 0, 44, 0, -48, 0, 0, 0, 0, 0, -32, 0, 0, 0, 102, 0, -44, 0, 0, 0, -104, 0, -16, 0, 0, 0, -122, 0, 0, 0, 0, 0, 4, 0, -32, 0, 0, 0, 0, 0, 46, 0, 0, 0, 68, 0, 56, 0, 0, 0, 46, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, -56, 0, 0, 0, 0, 0, 104, 0, 0, 0, 26, 0, 94, 0, 0, 0, 82, 0, 52, 0, 0, 0, 86, 0, 0, 0, 0, 0, 232, 0, -90, 0, 0, 0, 0, 0, 74, 0, 0, 0, 212, 0, 12, 0, 0, 0, 54, 0, -32, 0, 0, 0, 22, 0, 0, 0, 0, 0, -168, 0, -100, 0, 0, 0, 0, 0, 12, 0, 0, 0, 6, 0, 202, 0, 0, 0, -78, 0, -4, 0, 0, 0, 72, 0, 0, 0, 0, 0, -192, 0, 28, 0, 0, 0, 0, 0, 22, 0, 0, 0, 220, 0, -80, 0, 0, 0, 16, 0, -44, 0, 0, 0, -24, 0, 0, 0, 0, 0, 14, 0, 160, 0, 0, 0, 0, 0, -24, 0, 0, 0, -202, 0, -20, 0, 0, 0, 82, 0, -120, 0, 0, 0, -114, 0, 0, 0, 0, 0, -20, 0, -50, 0, 0, 0, 0, 0, -14, 0, 0, 0, 84, 0, -104, 0, 0, 0, -42, 0, -196, 0, 0, 0, -2, 0, 0, 0, 0, 0, -44, 0, 128, 0, 0, 0, 0, 0, -140, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1123114
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '30.2.c.a', 'target_level': 30, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1123115
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '90.2.c.a', 'target_level': 90, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1123116
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '150.2.a.a', 'target_level': 150, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1123117
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '150.2.a.c', 'target_level': 150, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1123118
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '240.2.f.a', 'target_level': 240, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1123119
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.2.a.b', 'target_level': 450, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1123120
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '450.2.a.f', 'target_level': 450, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1123121
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '720.2.f.f', 'target_level': 720, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1123122
{'conductor': 180, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.2.i.b', 'target_level': 810, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1123123
{'conductor': 180, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '810.2.i.e', 'target_level': 810, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1123124
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.2.f.h', 'target_level': 960, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1123125
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '960.2.f.i', 'target_level': 960, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1123126
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1200.2.a.g', 'target_level': 1200, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1123127
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1200.2.a.m', 'target_level': 1200, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1123128
{'conductor': 420, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1470.2.g.g', 'target_level': 1470, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '420.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1123129
{'conductor': 420, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.2.n.a', 'target_level': 1470, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '420.br', 'twisting_char_orbit': 44, 'weight': 2}
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id: 1123130
{'conductor': 420, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1470.2.n.h', 'target_level': 1470, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '420.bp', 'twisting_char_orbit': 42, 'weight': 2}
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id: 1123131
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.2.f.c', 'target_level': 2880, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1123132
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2880.2.f.e', 'target_level': 2880, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1123133
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3600.2.a.o', 'target_level': 3600, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1123134
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3600.2.a.bg', 'target_level': 3600, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1123135
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3840.2.d.g', 'target_level': 3840, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '240.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 1123136
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3840.2.d.j', 'target_level': 3840, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '240.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 1123137
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3840.2.d.x', 'target_level': 3840, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '240.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 1123138
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3840.2.d.y', 'target_level': 3840, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '240.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 1123139
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4800.2.a.l', 'target_level': 4800, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1123140
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4800.2.a.m', 'target_level': 4800, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1123141
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 59, 'target_is_minimal': False, 'target_label': '4800.2.a.cg', 'target_level': 4800, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1123142
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '4800.2.a.cj', 'target_level': 4800, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1123143
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7350.2.a.bg', 'target_level': 7350, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1123144
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '3600.2.a.o', 'source_level': 3600, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '7350.2.a.cc', 'target_level': 7350, 'twist_class_label': '30.2.c.a', 'twist_class_level': 30, 'twisting_char_label': '420.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3262075
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 2}
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id: 3262076
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 3}
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id: 3262077
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 5}
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id: 3262078
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 7}
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id: 3262079
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 11}
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id: 3262080
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 13}
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id: 3262081
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 17}
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id: 3262082
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 19}
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id: 3262083
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 23}
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id: 3262084
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 29}
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id: 3262085
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 31}
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id: 3262086
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 37}
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id: 3262087
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 41}
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id: 3262088
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 43}
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id: 3262089
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 47}
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id: 3262090
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 53}
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id: 3262091
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 59}
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id: 3262092
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 61}
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id: 3262093
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 67}
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id: 3262094
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 71}
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id: 3262095
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 73}
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id: 3262096
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 79}
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id: 3262097
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 83}
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id: 3262098
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 89}
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id: 3262099
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 63050394816744976, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '3600.2.a.o', 'level': 3600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59544829
{'hecke_orbit_code': 63050394816744976, 'n': 1, 'trace_an': 1}
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id: 59544830
{'hecke_orbit_code': 63050394816744976, 'n': 2, 'trace_an': 0}
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id: 59544831
{'hecke_orbit_code': 63050394816744976, 'n': 3, 'trace_an': 0}
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id: 59544832
{'hecke_orbit_code': 63050394816744976, 'n': 4, 'trace_an': 0}
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id: 59544833
{'hecke_orbit_code': 63050394816744976, 'n': 5, 'trace_an': 0}
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id: 59544834
{'hecke_orbit_code': 63050394816744976, 'n': 6, 'trace_an': 0}
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