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mf_newforms • Show schema
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{'Nk2': 2880, 'analytic_conductor': 5.749228945532187, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [720, 3, [271, 181, 641, 577], [3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 241, 'conrey_indexes': [241, 481], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [9, 3, 1]], [11, [4, 2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511898427294416, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '720.2.q.d', 'level': 720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '45.2.e.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-\\zeta_{6})q^{3}+\\zeta_{6}q^{5}+(-3+3\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '720.2.q', 'trace_display': [0, 3, 1, -3], 'trace_hash': 1812903421425342846, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.040', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '96.241', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 0, 3, 0, 1, 0, -3, 0, 3, 0, -2, 0, 2, 0, 3, 0, 8, 0, 16, 0, 0, 0, 3, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -6, 0, -8, 0, 6, 0, -5, 0, -8, 0, 6, 0, 7, 0, -2, 0, 12, 0, -4, 0, -4, 0, 24, 0, -14, 0, -7, 0, 9, 0, -2, 0, -3, 0, 9, 0, -4, 0, 8, 0, 0, 0, -6, 0, -6, 0, -9, 0, 9, 0, 4, 0, 0, 0, -30, 0, -12, 0, 0, 0, 8, 0, -2, 0, 6, 0, 18, 0, 8, 0, -9, 0, -6, 0, 10, 0, -12, 0, 8, 0, -3, 0, 12, 0, -12, 0, 7, 0, -15, 0, -2, 0, 10, 0, 0, 0, -6, 0, -24, 0, 9, 0, -12, 0, -16, 0, 0, 0, -8, 0, 2, 0, -6, 0, -17, 0, -2, 0, 12, 0, 0, 0, -14, 0, -6, 0, -18, 0, 8, 0, -6, 0, -9, 0, 9, 0, 24, 0, 0, 0, -3, 0, -42, 0, 4, 0, -14, 0, 0, 0, -4, 0, -8, 0, 27, 0, 8, 0, 10, 0, 0, 0, -24, 0, -8, 0, -9, 0, 3, 0, 5, 0, 18, 0, -16, 0, -22, 0, -6, 0, -16, 0, 0, 0, 12, 0, 8, 0, -19, 0, 3, 0, -4, 0, -15, 0, -18, 0, 48, 0, 14, 0, 0, 0, -8, 0, 11, 0, -27, 0, 2, 0, 16, 0, 0, 0, 0, 0, -12, 0, 12, 0, 6, 0, 12, 0, -3, 0, -16, 0, -2, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [2, -1], [0, 0], [0, 1], [0, 0], [-3, 3], [0, 0], [3, -3], [0, 0], [-2, 2], [0, 0], [0, 2], [0, 0], [1, 1], [0, 0], [4, 0], [0, 0], [8, 0], [0, 0], [-3, 6], [0, 0], [0, 3], [0, 0], [-1, 1], [0, 0], [3, -6], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [-2, 4], [0, 0], [-3, 0], [0, 0], [-4, 0], [0, 0], [2, 2], [0, 0], [0, -5], [0, 0], [-8, 8], [0, 0], [3, 0], [0, 0], [7, -7], [0, 0], [0, -2], [0, 0], [8, -4], [0, 0], [-2, 0], [0, 0], [-2, 0], [0, 0], [16, -8], [0, 0], [0, -14], [0, 0], [-7, 7], [0, 0], [0, 9], [0, 0], [-2, 2], [0, 0], [0, -3], [0, 0], [3, 3], [0, 0], [-2, 0], [0, 0], [4, 0], [0, 0], [-1, 2], [0, 0], [0, -6], [0, 0], [-6, 6], [0, 0], [0, -9], [0, 0], [9, -9], [0, 0], [0, 4], [0, 0], [1, -2], [0, 0], [-15, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [0, 8], [0, 0], [-2, 2], [0, 0], [0, 6], [0, 0]], 'ap': [[0, 0], [2, -1], [0, 1], [-3, 3], [-2, 2], [0, 2], [4, 0], [8, 0], [0, 3], [1, -1], [0, 0], [-4, 0], [0, -5], [-8, 8], [7, -7], [-2, 0], [0, -14], [-7, 7], [0, -3], [-2, 0], [4, 0], [-6, 6], [9, -9], [-15, 0], [-2, 2], [18, -18], [0, 8], [-3, 0], [5, 0], [0, 8], [5, 0], [0, -6], [-12, 12], [0, -16], [0, -17], [-2, 2], [0, -14], [4, 0], [0, -9], [0, 0], [2, 0], [-7, 0], [8, -8], [0, 10], [-12, 0], [-4, 0], [0, -22], [-19, 19], [-4, 4], [0, -15], [24, 0], [0, -8], [11, -11], [0, 0], [0, 6], [-16, 16], [25, 0], [8, 0], [-12, 12], [15, -15], [0, 21], [0, -12], [-7, 0], [0, 0], [-14, 14], [34, -34], [-6, 6], [0, 8], [0, 4], [5, -5], [-24, 24], [-24, 0], [24, -24], [0, -10], [26, 0], [0, 36], [-33, 33], [34, 0], [0, 18], [0, -14], [0, 26], [-34, 34], [30, 0], [28, 0], [28, -28], [15, -15], [-26, 0], [20, -20], [-9, 9], [0, -36], [-20, 0], [-18, 18], [16, 0], [0, 20], [0, -32], [7, 0], [0, -43], [11, 0], [29, 0], [-39, 0], [-29, 29], [-30, 0], [0, -21], [6, -6], [0, 32], [-10, 0], [-33, 33], [20, 0], [0, -10], [-2, 2], [0, -41], [-44, 0], [0, 36], [-4, 4], [-16, 0], [-33, 33], [0, -9], [17, 0], [0, 4], [-8, 8], [0, 14], [-6, 6], [42, -42], [-12, 0], [-14, 14], [23, 0], [41, -41], [-6, 0], [23, -23], [0, 34], [2, 0], [0, -29], [0, 10], [-26, 0], [0, -15], [0, -5], [-24, 0], [0, 28], [0, -26], [26, 0], [42, 0], [-15, 15], [0, 53], [-37, 0], [-3, 0], [-40, 40], [54, -54], [-10, 10], [0, 22], [-17, 0], [0, 18], [-35, 0], [-23, 0], [0, 36], [-51, 51], [-50, 50], [-10, 0], [-14, 14], [0, 0], [0, 7], [57, -57], [-26, 0], [0, 41], [36, 0], [0, 38], [3, -3], [-26, 0], [18, -18]], 'char_orbit_index': 17, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511898427294416, 'hecke_ring_character_values': [[271, [1, 0]], [181, [1, 0]], [641, [0, -1]], [577, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '720.2.q.d', 'level': 720, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2880, 'analytic_conductor': 5.749228945532187, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [720, 3, [271, 181, 641, 577], [3, 3, 2, 3]], 'conrey_index': 241, 'cusp_dim': 264, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1099545182928, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 8], 'label': '720.2.q', 'level': 720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 312, 'mf_new_dim': 48, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 12, 0, -24, 0, 12, 0, -4, 0, -12, 0, 12, 0, 24, 0, 0, 0, 36, 0, 4, 0, -12, 0, -8, 0, 20, 0, -24, 0, 8, 0, 0, 0, 0, 0, -12, 0, -12, 0, 0, 0, -40, 0, 0, 0, 0, 0, -28, 0, -24, 0, 24, 0, 0, 0, -16, 0, 0, 0, -8, 0, -56, 0, 0, 0, -60, 0, -24, 0, 24, 0, -8, 0, 16, 0, -12, 0, 76, 0, 32, 0, 0, 0, -4, 0, 72, 0, 0, 0, 108, 0, -8, 0, 0, 0, 64, 0, 36, 0, -36, 0, -60, 0, 0, 0, 24, 0, -20, 0, -16, 0, 0, 0, -12, 0, 20, 0, 12, 0, -20, 0, -152, 0, 0, 0, -96, 0, 32, 0, 12, 0, 60, 0, -24, 0, 0, 0, -16, 0, 64, 0, 0, 0, 0, 0, 32, 0, -24, 0, 56, 0, -48, 0, 0, 0, 8, 0, 56, 0, 24, 0, 8, 0, 0, 0, 0, 0, -32, 0, 4, 0, -12, 0, -32, 0, -80, 0, -24, 0, -40, 0, -92, 0, -12, 0, -44, 0, -44, 0, -36, 0, -112, 0, -56, 0, 0, 0, -116, 0, -24, 0, -48, 0, -8, 0, -24, 0, -12, 0, -132, 0, -88, 0, -24, 0, 120, 0, 32, 0, -12, 0, 120, 0, -4, 0, -84, 0, -84, 0, -16, 0, 0, 0, -24, 0, -28, 0, -84, 0, 88, 0, 112, 0, 0, 0, 60, 0, 192, 0, 72, 0, -32, 0, 0, 0, 0, 0, 8, 0, 24, 0, -12, 0, 16, 0, -32, 0, 24, 0, -132, 0, 32, 0, 0, 0, 108, 0, -28, 0, -12, 0, 136, 0, -8, 0, 240, 0, 84, 0, -44, 0, 12, 0, 28, 0, -8, 0, 36, 0, 60, 0, 208, 0, 0, 0, 88, 0, 84, 0, 48, 0, -40, 0, 36, 0, 12, 0, -8, 0, -64, 0, 168, 0, -20, 0, 12, 0, -12, 0, -12, 0, -12, 0, 0, 0, -40, 0, 8, 0, 72, 0, 108, 0, 0, 0, 0, 0, -44, 0, 64, 0, 0, 0, 0, 0, -48, 0, -72, 0, -60, 0, 128, 0, 0, 0, 76, 0, 96, 0, 12, 0, -128, 0, 96, 0, 0, 0, 72, 0, -76, 0, -36, 0, 64, 0, -60, 0, 12, 0, 140, 0, -80, 0, -72, 0, 144, 0, -36, 0, 0, 0, 0, 0, -4, 0, -72, 0, -16, 0, 160, 0, 72, 0, 60, 0, -24, 0, -144, 0, 92, 0, -124, 0, 0, 0, -56, 0, 248, 0, 0, 0, 8, 0, 40, 0, -12, 0, -40, 0, -100, 0, -36, 0, 24, 0, -88, 0, 24, 0, 216, 0, 44, 0, 0, 0, -168, 0, -24, 0, -24, 0, -260, 0, 32, 0, 120, 0, 52, 0, 108, 0, 0, 0, -32, 0, -24, 0, -84, 0, -56, 0, -336, 0, 0, 0, -80, 0, -20, 0, 24, 0, -72, 0, -36, 0, 0, 0, -40, 0, -208, 0, 120, 0, 4, 0, -92, 0, -24, 0, -52, 0, 56, 0, 12, 0, -120, 0, -40, 0, 72, 0, -240, 0, 20, 0, 0, 0, 68, 0, -148, 0, -24, 0, -104, 0, 64, 0, 0, 0, 52, 0, -180, 0, -24, 0, 8, 0, 124, 0, 132, 0, 176, 0, -24, 0, -24, 0, 12, 0, 88, 0, 96, 0, 48, 0, 80, 0, -24, 0, -264, 0, 160, 0, 0, 0, -96, 0, 56, 0, -36, 0, 16, 0, 32, 0, -36, 0, 60, 0, -392, 0, 96, 0, -92, 0, -12, 0, -48, 0, -76, 0, 152, 0, -24, 0, 140, 0, -208, 0, -192, 0, 88, 0, -60, 0, -48, 0, 12, 0, -84, 0, -84, 0, 4, 0, 176, 0, -168, 0, -148, 0, -184, 0, 0, 0, -180, 0, 56, 0, -72, 0, 340, 0, 48, 0, -192, 0, -148, 0, -148, 0, 72, 0, 12, 0, 56, 0, -72, 0, -100, 0, 232, 0, 0, 0, -36, 0, -104, 0, -48, 0, 168, 0, 48, 0, 60, 0, 136, 0, 144, 0, 24, 0, 32, 0, 172, 0, -36, 0, 144, 0, 40, 0, 36, 0, -64, 0, 176, 0, 24, 0, 372, 0, -4, 0, -84, 0, 64, 0, 188, 0, -48, 0, 156, 0, -24, 0, 24, 0, -136, 0, 112, 0, 12, 0, -48, 0, -232, 0, 108, 0, 148, 0, 144, 0, 0, 0, -36, 0, 140, 0, 204, 0, -64, 0, -120, 0, 84, 0, 160, 0, -160, 0, 24, 0, -176, 0, 104, 0, -48, 0, 36, 0, 24, 0, 72, 0, -128, 0, 432, 0, 48, 0, 144, 0, 72, 0, 108, 0, -120, 0, -148, 0, -12, 0, -152, 0, -280, 0, -216, 0, 40, 0, 60, 0, 84, 0, -100, 0, 48, 0, 36, 0, 0, 0, -288, 0, -96, 0, 168, 0, -172, 0, 0, 0, 208, 0, -52, 0, -12, 0, -392, 0, 0, 0, -360, 0, -100, 0, 156, 0, 72, 0, -32, 0, -48, 0, -48, 0, 356, 0, -224, 0, 0, 0, 0, 0, 136, 0, -60, 0, -16, 0, -12, 0, 72, 0, -4, 0, 48, 0, -72, 0, -88, 0, -184, 0, 12, 0, -236, 0, 56, 0, 0, 0, 48, 0, -120, 0, 144, 0, -488, 0, -24, 0, -60, 0, 32, 0, -280, 0, 0, 0, -156, 0, 272, 0, 240, 0, -60, 0, -188, 0, 0, 0, 112, 0, -120, 0, -12, 0, 72, 0, -136, 0, -144, 0, 28, 0, -116, 0, 108, 0, -100, 0, 216, 0, 72, 0, -432, 0, -168, 0, 96, 0, 0, 0, -128, 0, -48, 0, -96, 0, -32, 0, 204, 0, -68, 0, -520, 0, 96, 0, -36, 0, 100, 0, 180, 0, 4, 0, 140, 0, 0, 0, 212, 0, 56, 0, 0, 0, 8, 0, -64, 0, 72, 0, 168, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 464600
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.2.e.a', 'target_level': 45, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 464601
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.2.e.a', 'target_level': 45, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 464602
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.2.e.a', 'target_level': 135, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 464603
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.2.e.a', 'target_level': 135, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 464604
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.e.a', 'target_level': 225, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 464605
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.e.a', 'target_level': 225, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 464606
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.k.a', 'target_level': 225, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 464607
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.k.a', 'target_level': 225, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 464608
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.2.a.b', 'target_level': 405, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 464609
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '405.2.a.e', 'target_level': 405, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 464610
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.e.a', 'target_level': 675, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 464611
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.e.a', 'target_level': 675, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 464612
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.k.a', 'target_level': 675, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 464613
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.2.k.a', 'target_level': 675, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 464614
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.2.q.d', 'target_level': 720, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 464615
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '720.2.q.d', 'target_level': 720, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 464616
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2025.2.a.b', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 464617
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2025.2.a.e', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 464618
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2025.2.b.c', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 464619
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2025.2.b.d', 'target_level': 2025, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 464620
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2160.2.q.a', 'target_level': 2160, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 464621
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2160.2.q.a', 'target_level': 2160, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 464622
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6480.2.a.k', 'target_level': 6480, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 464623
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '720.2.q.d', 'source_level': 720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '6480.2.a.x', 'target_level': 6480, 'twist_class_label': '45.2.e.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1242400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 2}
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id: 1242401
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 3}
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id: 1242402
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 5}
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id: 1242403
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 7}
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id: 1242404
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 11}
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id: 1242405
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 13}
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id: 1242406
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 17}
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id: 1242407
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 19}
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id: 1242408
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 23}
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id: 1242409
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 29}
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id: 1242410
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 31}
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id: 1242411
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 37}
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id: 1242412
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 41}
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id: 1242413
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 43}
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id: 1242414
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 47}
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id: 1242415
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 53}
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id: 1242416
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 59}
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id: 1242417
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 61}
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id: 1242418
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 67}
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id: 1242419
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 71}
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id: 1242420
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 73}
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id: 1242421
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 79}
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id: 1242422
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 83}
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id: 1242423
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 13511898427294416, 'p': 89}
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id: 1242424
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 13511898427294416, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 4, 'label': '720.2.q.d', 'level': 720, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 144972000
{'hecke_orbit_code': 13511898427294416, 'n': 1, 'trace_an': 2}
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id: 144972001
{'hecke_orbit_code': 13511898427294416, 'n': 2, 'trace_an': 0}
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id: 144972002
{'hecke_orbit_code': 13511898427294416, 'n': 3, 'trace_an': 3}
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id: 144972003
{'hecke_orbit_code': 13511898427294416, 'n': 4, 'trace_an': 0}
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id: 144972004
{'hecke_orbit_code': 13511898427294416, 'n': 5, 'trace_an': 1}
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id: 144972005
{'hecke_orbit_code': 13511898427294416, 'n': 6, 'trace_an': 0}
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id: 144972006
{'hecke_orbit_code': 13511898427294416, 'n': 7, 'trace_an': -3}
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id: 144972007
{'hecke_orbit_code': 13511898427294416, 'n': 8, 'trace_an': 0}
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id: 144972008
{'hecke_orbit_code': 13511898427294416, 'n': 9, 'trace_an': 3}
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id: 144972009
{'hecke_orbit_code': 13511898427294416, 'n': 10, 'trace_an': 0}
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id: 144972010
{'hecke_orbit_code': 13511898427294416, 'n': 11, 'trace_an': -2}
-
id: 144972011
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