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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [180, 4, [91, 101, 37], [2, 4, 1]], 'cm_discs': [-4], 'conrey_index': 127, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [0, 1]], [13, [50, -10, 1]], [17, [18, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855692468, 'hecke_ring_generator_nbound': 2, '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, 4, 2, -1, 2, -4], [1, 1, 5, 3, -1, 4, 0], [1, 1, 20, 5, 1, 4, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '180.2.k.b', 'level': 180, '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], 'level_radical': 30, 'minimal_twist': '180.2.k.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(i+1)q^{2}+2 i q^{4}+(2 i-1)q^{5}+\\cdots', 'related_objects': ['EllipticCurve/2.0.4.1/2025.1/CMa', 'EllipticCurve/2.0.4.1/2025.3/CMa'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d4', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '180.2.k', 'trace_display': [2, 0, -2, 0], 'trace_hash': 1933889170257957305, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '18.228', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '201.445', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.625', 'prec': 17}, 'traces': [2, 2, 0, 0, -2, 0, 0, -4, 0, -6, 0, 0, 10, 0, 0, -8, 6, 0, 0, -8, 0, 0, 0, 0, -6, 20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 10, 0, 0, -4, -20, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 20, 18, 0, 0, 0, 0, 20, 0, 0, -24, 0, 0, 0, 10, 0, 0, -12, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 8, 0, -20, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -14, 0, 16, -40, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 2, 0, 0, 40, 0, 0, 0, 0, 22, -24, 0, 0, 22, 0, 0, 16, 0, -20, 0, 0, 0, 0, 0, -24, 14, 0, 0, 0, 0, 0, 0, 0, 40, -20, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 22, 0, 0, 0, 0, -20, 0, 0, 36, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, -28, -26, 0, 0, 28, 0, -40, 0, 0, 20, 0, 0, -40, 0, 0, 0, 36, 0, 0, 0, 0, 0, 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0, 80, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, -42, 0, 0, 0, 0, 0, 0, 0, -142, -56, 0, 0, 148, 0, 0, -72, 0, 48, 0, 0, -10, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 22, 20, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 70, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 108, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 40, 0, 0, 10, 0, 0, -80, 0, 0, 0, -84, 0, 0, 0, 0, -10, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 62, 100, 0, 0, -10, 0, 0, -44, 0, 40, 0, 0, 0, 0, 0, 96, -54, 0, 0, 28, 0, 0, 0, 0, 78, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, -36], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 1], [0, 0], [0, 2], [-1, 2], [0, 0], [0, 0], [-2, 2], [0, 0], [-3, 1], [0, 0], [0, 0], [5, -5], [0, 0], [0, 0], [-4, 0], [3, 3], [0, 0], [0, 0], [-4, -2], [0, 0], [0, 0], [0, 0], [0, 0], [-3, -4], [10, 0], [0, 0], [0, 0], [0, -10], [0, 0], [0, 0], [-4, -4], [0, 0], [0, 6], [0, 0], [0, 0], [5, 5], [0, 0], [0, 0], [-2, -6], [-10, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 7], [1, -7], [0, 0], [10, 10], [9, -9], [0, 0], [0, 0], [0, 0], [0, 0], [10, -10], [0, 0], [0, 0], [-12, 0], [0, 0], [0, 0], [0, -8], [5, 15], [0, 0], [0, 0], [-6, 6], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 5], [0, 10], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, -8], [0, 0], [-10, -10], [0, 0], [0, 0], [-9, 3], [0, 0], [0, 0], [0, 0], [0, 10], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, -5], [-7, 7], [0, 0], [8, -6]], 'ap': [[1, 1], [0, 0], [-1, 2], [0, 0], [0, 0], [5, -5], [3, 3], [0, 0], [0, 0], [0, -10], [0, 0], [5, 5], [-10, 0], [0, 0], [0, 0], [9, -9], [0, 0], [-12, 0], [0, 0], [0, 0], [-5, 5], [0, 0], [0, 0], [0, 10], [-5, -5], [-20, 0], [0, 0], [0, 0], [0, 6], [1, -1], [0, 0], [0, 0], [7, 7], [0, 0], [0, -20], [0, 0], [-5, -5], [0, 0], [0, 0], [11, -11], [0, 0], [18, 0], [0, 0], [-5, 5], [-13, -13], [0, 0], [0, 0], [0, 0], [0, 0], [0, 4], [-21, 21], [0, 0], [-8, 0], [0, 0], [17, 17], [0, 0], [0, 20], [0, 0], [5, 5], [10, 0], [0, 0], [-19, 19], [0, 0], [0, 0], [-25, 25], [3, 3], [0, 0], [-25, -25], [0, 0], [0, 36], [9, -9], [0, 0], [0, 0], [25, -25], [0, 0], [0, 0], [0, 20], [25, 25], [40, 0], [0, 6], [0, 0], [-28, 0], [0, 0], [5, -5], [0, 0], [0, 0], [0, 40], [25, 25], [20, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 10], [-40, 0], [0, 0], [-42, 0], [0, 0], [33, 33], [0, 0], [0, -40], [0, 0], [-25, -25], [0, 0], [31, -31], [0, 0], [48, 0], [0, 0], [35, -35], [3, 3], [0, 0], [0, 0], [50, 0], [0, 0], [0, 0], [9, -9], [0, 0], [-12, 0], [-35, 35], [-27, -27], [0, 0], [0, 0], [-10, 0], [0, 44], [0, 0], [0, 0], [-25, 25], [0, 0], [0, 0], [0, 0], [-35, -35], [-40, 0], [0, -24], [39, -39], [0, 0], [37, 37], [0, -10], [0, 0], [-50, 0], [0, 0], [0, 0], [0, -54], [0, 0], [-5, 5], [33, 33], [0, 0], [0, 0], [35, 35], [-50, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 40], [-5, -5], [-20, 0], [0, 0], [41, -41], [0, 0], [0, 0], [-27, -27], [0, 0], [0, 0], [-25, -25]], 'char_orbit_index': 11, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4504286855692468, 'hecke_ring_character_values': [[91, [-1, 0]], [101, [1, 0]], [37, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '180.2.k.b', 'level': 180, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 720, 'analytic_conductor': 1.4373072363830468, 'char_conductor': 20, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [180, 4, [91, 101, 37], [2, 4, 1]], 'conrey_index': 127, 'cusp_dim': 56, 'dim': 26, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [7, 13, 17], 'hecke_orbit_code': 687228321972, 'hecke_orbit_dims': [2, 2, 2, 8, 12], 'label': '180.2.k', 'level': 180, '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], 'level_radical': 30, 'mf_dim': 88, 'mf_new_dim': 34, 'num_forms': 5, 'prim_orbit_index': 5, 'relative_dim': 13, 'sturm_bound': 72, 'trace_bound': 5, 'trace_display': [2, 0, 4, 0], 'traces': [26, 2, 0, 0, 4, 0, 0, 8, 0, -10, 0, 0, -2, 0, 0, -16, 14, 0, 0, -16, 0, -16, 0, 0, 6, -20, 0, -32, 0, 0, 0, -28, 0, 0, 0, 0, -6, -16, 0, 20, 0, 0, 0, 0, 0, 16, 0, 0, 0, 30, 0, 52, -22, 0, 0, 64, 0, 24, 0, 0, -40, 56, 0, 0, -22, 0, 0, 28, 0, 16, 0, 0, -38, 0, 0, -48, -48, 0, 0, -20, 0, -32, 0, 0, -26, -64, 0, 32, 0, 0, 0, -56, 0, 0, 0, 0, -54, -38, 0, 72, 36, 0, 0, 0, 0, 92, 0, 0, 0, 40, 0, 48, 54, 0, 0, 40, 0, 80, 0, 0, 30, 88, 0, 0, 52, 0, 0, 44, 0, -56, 0, 0, 32, 0, 0, -40, 26, 0, 0, -40, 0, -96, 0, 0, 72, -92, 0, -44, 0, 0, 0, -64, 0, 0, 0, 0, 86, -40, 0, -72, -64, 0, 0, 0, 0, 16, 0, 0, 0, 36, 0, -32, -78, 0, 0, 16, 0, -64, 0, 0, 28, 40, 0, 0, -94, 0, 0, 64, 0, -160, 0, 0, -18, 0, 0, -100, -14, 0, 0, -48, 0, -4, 0, 0, -104, -80, 0, -128, 0, 0, 0, -68, 0, 0, 0, 0, 64, -60, 0, 48, 100, 0, 0, 0, 0, -92, 0, 0, 0, 56, 0, 136, 126, 0, 0, 96, 0, 48, 0, 0, 80, 30, 0, 0, 98, 0, 0, -8, 0, 138, 0, 0, 128, 0, 0, -24, 118, 0, 0, -44, 0, 48, 0, 0, 78, 48, 0, 144, 0, 0, 0, -16, 0, 0, 0, 0, -18, -8, 0, 128, -16, 0, 0, 0, 0, 192, 0, 0, 0, -32, 0, 28, -178, 0, 0, 80, 0, 172, 0, 0, -192, 8, 0, 0, -80, 0, 0, 8, 0, 0, 0, 0, -90, 0, 0, 112, -130, 0, 0, -20, 0, -128, 0, 0, -182, 64, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -158, 34, 0, -164, -96, 0, 0, 0, 0, 44, 0, 0, 0, -16, 0, -48, 106, 0, 0, 8, 0, -224, 0, 0, -110, 4, 0, 0, 126, 0, 0, -24, 0, -140, 0, 0, 50, 0, 0, -48, -24, 0, 0, 96, 0, 32, 0, 0, 96, -20, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, -30, 8, 0, 40, -188, 0, 0, 0, 0, -64, 0, 0, 0, 8, 0, 48, -48, 0, 0, -88, 0, -16, 0, 0, 8, -40, 0, 0, -190, 0, 0, -16, 0, 256, 0, 0, -174, 0, 0, 56, 64, 0, 0, -8, 0, 172, 0, 0, 96, -32, 0, 224, 0, 0, 0, 44, 0, 0, 0, 0, -18, 64, 0, 192, 180, 0, 0, 0, 0, 20, 0, 0, 0, -48, 0, -128, 160, 0, 0, -128, 0, 144, 0, 0, 188, -80, 0, 0, 250, 0, 0, -16, 0, -30, 0, 0, 144, 0, 0, 176, 160, 0, 0, 72, 0, -176, 0, 0, 200, -32, 0, -80, 0, 0, 0, 116, 0, 0, 0, 0, 224, 40, 0, -320, 44, 0, 0, 0, 0, -208, 0, 0, 0, -32, 0, -208, -112, 0, 0, -96, 0, -276, 0, 0, 84, -56, 0, 0, -132, 0, 0, -100, 0, -144, 0, 0, -128, 0, 0, -240, -198, 0, 0, 24, 0, 48, 0, 0, -22, 240, 0, -256, 0, 0, 0, 56, 0, 0, 0, 0, -10, 6, 0, 8, 96, 0, 0, 0, 0, -140, 0, 0, 0, -40, 0, 48, 74, 0, 0, -48, 0, -16, 0, 0, 32, -112, 0, 0, 28, 0, 0, -16, 0, 232, 0, 0, 278, 0, 0, 224, -18, 0, 0, 8, 0, 208, 0, 0, -86, 204, 0, 380, 0, 0, 0, 136, 0, 0, 0, 0, 274, -32, 0, 136, -192, 0, 0, 0, 0, 128, 0, 0, 0, -4, 0, -80, -102, 0, 0, 40, 0, 176, 0, 0, -168, -128, 0, 0, -160, 0, 0, -120, 0, -16, 0, 0, -30, 0, 0, 300, -14, 0, 0, 56, 0, -64, 0, 0, -246, 32, 0, 128, 0, 0, 0, 116, 0, 0, 0, 0, -200, 72, 0, -384, 248, 0, 0, 0, 0, -4, 0, 0, 0, -176, 0, -264, 160, 0, 0, -176, 0, -320, 0, 0, -128, -86, 0, 0, 80, 0, 0, -24, 0, -248, 0, 0, -134, 0, 0, -112, 160, 0, 0, 68, 0, 272, 0, 0, 92, 4, 0, -176, 0, 0, 0, 48, 0, 0, 0, 0, -322, 136, 0, 80, 52, 0, 0, 0, 0, -336, 0, 0, 0, -72, 0, 228, -282, 0, 0, -256, 0, 68, 0, 0, -192, 16, 0, 0, -18, 0, 0, -44, 0, 400, 0, 0, -312, 0, 0, 16, -210, 0, 0, 108, 0, 300, 0, 0, -192, 0, 0, 432, 0, 0, 0, 96, 0, 0, 0, 0, -256, 52, 0, 232, -168, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, -2, 0, 0, -16, 0, 320, 0, 0, 226, -96, 0, 0, 58, 0, 0, 16, 0, 112, 0, 0, 38, 0, 0, 176, -6, 0, 0, 80, 0, -128, 0, 0, 142, 228, 0, -64, 0, 0, 0, 88, 0, 0, 0, 0, 294, 152, 0, -352, -304, 0, 0, 0, 0, -112, 0, 0, 0, -64, 0, -96, 96, 0, 0, 96, 0, -420, 0, 0, 220, -104, 0, 0, -152, 0, 0, -80, 0, -208, 0, 0, 288, 0, 0, -64, 112, 0, 0, 104, 0, -20, 0, 0, -2, 224, 0, -200, 0, 0, 0, 84, 0, 0, 0, 0, 350, 112, 0, 0, 172, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 48, 198, 0, 0, -32, 0, 0, 0, 0, 358, -28, 0, 0, 306, 0, 0, -48, 0, 340, 0, 0, 128, 0, 0, -32, 258, 0, 0, -36, 0, 272, 0, 0, 50, -96, 0, 224, 0, 0, 0, -8, 0, 0, 0, 0, 14, -16, 0, 356], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 149342
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.k.a', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149343
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.k.a', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149344
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.k.a', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149345
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.2.k.a', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 149346
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '180.2.k.b', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 149347
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '180.2.k.b', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149348
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '180.2.k.b', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 149349
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '180.2.k.b', 'target_level': 180, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149350
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '900.2.k.b', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 149351
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '900.2.k.b', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 149352
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '900.2.k.b', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 149353
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '900.2.k.b', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149354
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.k.d', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 149355
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.k.d', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 149356
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.k.d', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 149357
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '180.2.k.b', 'source_level': 180, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '900.2.k.d', 'target_level': 900, 'twist_class_label': '180.2.k.a', 'twist_class_level': 180, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 459150
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 2}
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id: 459151
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 3}
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id: 459152
{'charpoly_factorization': [[[5, 2, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 5}
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id: 459153
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 7}
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id: 459154
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 11}
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id: 459155
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 13}
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id: 459156
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 17}
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id: 459157
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 19}
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id: 459158
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 23}
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id: 459159
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 29}
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id: 459160
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 31}
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id: 459161
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 37}
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id: 459162
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 41}
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id: 459163
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 43}
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id: 459164
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 47}
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id: 459165
{'charpoly_factorization': [[[162, -18, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 53}
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id: 459166
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 59}
-
id: 459167
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 61}
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id: 459168
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 67}
-
id: 459169
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 71}
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id: 459170
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 73}
-
id: 459171
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 79}
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id: 459172
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286855692468, 'p': 83}
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id: 459173
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 89}
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id: 459174
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 4504286855692468, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '180.2.k.b', 'level': 180, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 23630713
{'hecke_orbit_code': 4504286855692468, 'n': 1, 'trace_an': 2}
-
id: 23630714
{'hecke_orbit_code': 4504286855692468, 'n': 2, 'trace_an': 2}
-
id: 23630715
{'hecke_orbit_code': 4504286855692468, 'n': 3, 'trace_an': 0}
-
id: 23630716
{'hecke_orbit_code': 4504286855692468, 'n': 4, 'trace_an': 0}
-
id: 23630717
{'hecke_orbit_code': 4504286855692468, 'n': 5, 'trace_an': -2}
-
id: 23630718
{'hecke_orbit_code': 4504286855692468, 'n': 6, 'trace_an': 0}
-
id: 23630719
{'hecke_orbit_code': 4504286855692468, 'n': 7, 'trace_an': 0}
-
id: 23630720
{'hecke_orbit_code': 4504286855692468, 'n': 8, 'trace_an': -4}
-
id: 23630721
{'hecke_orbit_code': 4504286855692468, 'n': 9, 'trace_an': 0}
-
id: 23630722
{'hecke_orbit_code': 4504286855692468, 'n': 10, 'trace_an': -6}
-
id: 23630723
{'hecke_orbit_code': 4504286855692468, 'n': 11, 'trace_an': 0}
-
id: 23630724
{'hecke_orbit_code': 4504286855692468, 'n': 12, 'trace_an': 0}
-
id: 23630725
{'hecke_orbit_code': 4504286855692468, 'n': 13, 'trace_an': 10}
-
id: 23630726
{'hecke_orbit_code': 4504286855692468, 'n': 14, 'trace_an': 0}
-
id: 23630727
{'hecke_orbit_code': 4504286855692468, 'n': 15, 'trace_an': 0}
-
id: 23630728
{'hecke_orbit_code': 4504286855692468, 'n': 16, 'trace_an': -8}
-
id: 23630729
{'hecke_orbit_code': 4504286855692468, 'n': 17, 'trace_an': 6}
-
id: 23630730
{'hecke_orbit_code': 4504286855692468, 'n': 18, 'trace_an': 0}
-
id: 23630731
{'hecke_orbit_code': 4504286855692468, 'n': 19, 'trace_an': 0}
-
id: 23630732
{'hecke_orbit_code': 4504286855692468, 'n': 20, 'trace_an': -8}
-
id: 23630733
{'hecke_orbit_code': 4504286855692468, 'n': 21, 'trace_an': 0}
-
id: 23630734
{'hecke_orbit_code': 4504286855692468, 'n': 22, 'trace_an': 0}
-
id: 23630735
{'hecke_orbit_code': 4504286855692468, 'n': 23, 'trace_an': 0}
-
id: 23630736
{'hecke_orbit_code': 4504286855692468, 'n': 24, 'trace_an': 0}
-
id: 23630737
{'hecke_orbit_code': 4504286855692468, 'n': 25, 'trace_an': -6}
-
id: 23630738
{'hecke_orbit_code': 4504286855692468, 'n': 26, 'trace_an': 20}
-
id: 23630739
{'hecke_orbit_code': 4504286855692468, 'n': 27, 'trace_an': 0}
-
id: 23630740
{'hecke_orbit_code': 4504286855692468, 'n': 28, 'trace_an': 0}
-
id: 23630741
{'hecke_orbit_code': 4504286855692468, 'n': 29, 'trace_an': 0}
-
id: 23630742
{'hecke_orbit_code': 4504286855692468, 'n': 30, 'trace_an': 0}
-
id: 23630743
{'hecke_orbit_code': 4504286855692468, 'n': 31, 'trace_an': 0}
-
id: 23630744
{'hecke_orbit_code': 4504286855692468, 'n': 32, 'trace_an': -8}
-
id: 23630745
{'hecke_orbit_code': 4504286855692468, 'n': 33, 'trace_an': 0}
-
id: 23630746
{'hecke_orbit_code': 4504286855692468, 'n': 34, 'trace_an': 0}
-
id: 23630747
{'hecke_orbit_code': 4504286855692468, 'n': 35, 'trace_an': 0}
-
id: 23630748
{'hecke_orbit_code': 4504286855692468, 'n': 36, 'trace_an': 0}
-
id: 23630749
{'hecke_orbit_code': 4504286855692468, 'n': 37, 'trace_an': 10}
-
id: 23630750
{'hecke_orbit_code': 4504286855692468, 'n': 38, 'trace_an': 0}
-
id: 23630751
{'hecke_orbit_code': 4504286855692468, 'n': 39, 'trace_an': 0}
-
id: 23630752
{'hecke_orbit_code': 4504286855692468, 'n': 40, 'trace_an': -4}
-
id: 23630753
{'hecke_orbit_code': 4504286855692468, 'n': 41, 'trace_an': -20}
-
id: 23630754
{'hecke_orbit_code': 4504286855692468, 'n': 42, 'trace_an': 0}
-
id: 23630755
{'hecke_orbit_code': 4504286855692468, 'n': 43, 'trace_an': 0}
-
id: 23630756
{'hecke_orbit_code': 4504286855692468, 'n': 44, 'trace_an': 0}
-
id: 23630757
{'hecke_orbit_code': 4504286855692468, 'n': 45, 'trace_an': 0}
-
id: 23630758
{'hecke_orbit_code': 4504286855692468, 'n': 46, 'trace_an': 0}
-
id: 23630759
{'hecke_orbit_code': 4504286855692468, 'n': 47, 'trace_an': 0}
-
id: 23630760
{'hecke_orbit_code': 4504286855692468, 'n': 48, 'trace_an': 0}
-
id: 23630761
{'hecke_orbit_code': 4504286855692468, 'n': 49, 'trace_an': 0}
-
id: 23630762
{'hecke_orbit_code': 4504286855692468, 'n': 50, 'trace_an': 2}
-
id: 23630763
{'hecke_orbit_code': 4504286855692468, 'n': 51, 'trace_an': 0}
-
id: 23630764
{'hecke_orbit_code': 4504286855692468, 'n': 52, 'trace_an': 20}
-
id: 23630765
{'hecke_orbit_code': 4504286855692468, 'n': 53, 'trace_an': 18}
-
id: 23630766
{'hecke_orbit_code': 4504286855692468, 'n': 54, 'trace_an': 0}
-
id: 23630767
{'hecke_orbit_code': 4504286855692468, 'n': 55, 'trace_an': 0}
-
id: 23630768
{'hecke_orbit_code': 4504286855692468, 'n': 56, 'trace_an': 0}
-
id: 23630769
{'hecke_orbit_code': 4504286855692468, 'n': 57, 'trace_an': 0}
-
id: 23630770
{'hecke_orbit_code': 4504286855692468, 'n': 58, 'trace_an': 20}
-
id: 23630771
{'hecke_orbit_code': 4504286855692468, 'n': 59, 'trace_an': 0}
-
id: 23630772
{'hecke_orbit_code': 4504286855692468, 'n': 60, 'trace_an': 0}
-
id: 23630773
{'hecke_orbit_code': 4504286855692468, 'n': 61, 'trace_an': -24}
-
id: 23630774
{'hecke_orbit_code': 4504286855692468, 'n': 62, 'trace_an': 0}
-
id: 23630775
{'hecke_orbit_code': 4504286855692468, 'n': 63, 'trace_an': 0}
-
id: 23630776
{'hecke_orbit_code': 4504286855692468, 'n': 64, 'trace_an': 0}
-
id: 23630777
{'hecke_orbit_code': 4504286855692468, 'n': 65, 'trace_an': 10}
-
id: 23630778
{'hecke_orbit_code': 4504286855692468, 'n': 66, 'trace_an': 0}
-
id: 23630779
{'hecke_orbit_code': 4504286855692468, 'n': 67, 'trace_an': 0}
-
id: 23630780
{'hecke_orbit_code': 4504286855692468, 'n': 68, 'trace_an': -12}
-
id: 23630781
{'hecke_orbit_code': 4504286855692468, 'n': 69, 'trace_an': 0}
-
id: 23630782
{'hecke_orbit_code': 4504286855692468, 'n': 70, 'trace_an': 0}
-
id: 23630783
{'hecke_orbit_code': 4504286855692468, 'n': 71, 'trace_an': 0}
-
id: 23630784
{'hecke_orbit_code': 4504286855692468, 'n': 72, 'trace_an': 0}
-
id: 23630785
{'hecke_orbit_code': 4504286855692468, 'n': 73, 'trace_an': -10}
-
id: 23630786
{'hecke_orbit_code': 4504286855692468, 'n': 74, 'trace_an': 0}
-
id: 23630787
{'hecke_orbit_code': 4504286855692468, 'n': 75, 'trace_an': 0}
-
id: 23630788
{'hecke_orbit_code': 4504286855692468, 'n': 76, 'trace_an': 0}
-
id: 23630789
{'hecke_orbit_code': 4504286855692468, 'n': 77, 'trace_an': 0}
-
id: 23630790
{'hecke_orbit_code': 4504286855692468, 'n': 78, 'trace_an': 0}
-
id: 23630791
{'hecke_orbit_code': 4504286855692468, 'n': 79, 'trace_an': 0}
-
id: 23630792
{'hecke_orbit_code': 4504286855692468, 'n': 80, 'trace_an': 8}
-
id: 23630793
{'hecke_orbit_code': 4504286855692468, 'n': 81, 'trace_an': 0}
-
id: 23630794
{'hecke_orbit_code': 4504286855692468, 'n': 82, 'trace_an': -20}
-
id: 23630795
{'hecke_orbit_code': 4504286855692468, 'n': 83, 'trace_an': 0}
-
id: 23630796
{'hecke_orbit_code': 4504286855692468, 'n': 84, 'trace_an': 0}
-
id: 23630797
{'hecke_orbit_code': 4504286855692468, 'n': 85, 'trace_an': -18}
-
id: 23630798
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