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mf_newforms • Show schema
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{'Nk2': 3920, 'analytic_conductor': 7.825339398085478, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [980, 3, [491, 197, 101], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 361, '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': [[3, [1, -1, 1]], [11, [36, 6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221780, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '980.2.i.f', 'level': 980, '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, 5, 7], 'level_radical': 70, 'minimal_twist': '140.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{5}+2\\zeta_{6}q^{9}+(-6+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '980.2.i', 'trace_display': [0, 1, -1, 0], 'trace_hash': 988389309605871785, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.944', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.208', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '98.448', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 0, 1, 0, -1, 0, 0, 0, 2, 0, -6, 0, -4, 0, -2, 0, -6, 0, 8, 0, 0, 0, -3, 0, -1, 0, 10, 0, 6, 0, 2, 0, 6, 0, 0, 0, -8, 0, -2, 0, 6, 0, 10, 0, 2, 0, 0, 0, 0, 0, 6, 0, -12, 0, 12, 0, 16, 0, 0, 0, -1, 0, 0, 0, 2, 0, 7, 0, -6, 0, 0, 0, -10, 0, 1, 0, 0, 0, 4, 0, -1, 0, -6, 0, 12, 0, 3, 0, -3, 0, 0, 0, -2, 0, 8, 0, 20, 0, -24, 0, -3, 0, -7, 0, 0, 0, 3, 0, -17, 0, -16, 0, -24, 0, -3, 0, -4, 0, 0, 0, -25, 0, 3, 0, 2, 0, 16, 0, 5, 0, 12, 0, 0, 0, -5, 0, 12, 0, -4, 0, 0, 0, 12, 0, -3, 0, 0, 0, 15, 0, 10, 0, -24, 0, -4, 0, 14, 0, 12, 0, 0, 0, 16, 0, 6, 0, 42, 0, -18, 0, -16, 0, 0, 0, 0, 0, 0, 0, 6, 0, -34, 0, -2, 0, -8, 0, -36, 0, 0, 0, 18, 0, -2, 0, 4, 0, -36, 0, 20, 0, -7, 0, 0, 0, -3, 0, 6, 0, -96, 0, -8, 0, 0, 0, -5, 0, 0, 0, 10, 0, 12, 0, -16, 0, -4, 0, -12, 0, 2, 0, 0, 0, -6, 0, 0, 0, 8, 0, 12, 0, 26, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, -1], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-6, 6], [0, 0], [-2, 0], [0, 0], [-1, 0], [0, 0], [-6, 6], [0, 0], [0, 8], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [-1, 1], [0, 0], [5, 0], [0, 0], [3, 0], [0, 0], [2, -2], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [-2, 2], [0, 0], [3, 0], [0, 0], [5, 0], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [-12, 12], [0, 0], [6, 0], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [7, -7], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 0], [-10, 10], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [-1, 1], [0, 0], [-3, 0], [0, 0], [6, 0], [0, 0], [3, -3], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [8, -8], [0, 0], [10, 0], [0, 0], [-12, 0], [0, 0]], 'ap': [[0, 0], [1, -1], [0, -1], [0, 0], [-6, 6], [-2, 0], [-6, 6], [0, 8], [0, -3], [3, 0], [2, -2], [0, -8], [3, 0], [5, 0], [0, 0], [-12, 12], [0, 0], [0, -1], [7, -7], [0, 0], [-10, 10], [0, 4], [-3, 0], [0, -3], [10, 0], [-3, 3], [0, -7], [0, 3], [-17, 17], [-12, 0], [8, 0], [0, 12], [12, -12], [-2, 0], [0, 15], [10, -10], [14, -14], [0, 16], [21, 0], [0, 0], [6, -6], [-17, 0], [0, 18], [-2, 2], [-18, 0], [20, -20], [-4, 0], [-8, 0], [-12, 12], [0, 2], [0, -6], [6, 0], [26, -26], [18, 0], [0, -24], [3, -3], [-15, 15], [0, -16], [22, -22], [-6, 0], [20, -20], [12, 0], [19, 0], [0, 0], [0, -4], [0, -18], [0, 22], [20, 0], [27, -27], [1, 0], [-12, 12], [0, -6], [5, -5], [0, 16], [8, 0], [0, 3], [-6, 6], [0, 26], [0, -3], [11, -11], [-24, 0], [23, 0], [-30, 30], [28, 0], [0, -28], [0, -9], [-9, 0], [0, 4], [-30, 0], [29, 0], [0, 33], [-30, 30], [-8, 8], [6, 0], [0, -2], [9, 0], [0, 39], [30, -30], [0, 44], [0, -17], [-19, 0], [-30, 30], [-9, 9], [0, 18], [16, -16], [-10, 10], [-12, 0], [0, -12], [0, 0], [22, 0], [0, -43], [-2, 2], [-12, 0], [14, -14], [38, 0], [39, -39], [-20, 0], [21, -21], [0, 42], [12, 0], [-25, 25], [32, 0], [0, -18], [15, -15], [0, 14], [27, 0], [0, 1], [0, -30], [-23, 0], [0, 2], [46, -46], [-39, 0], [0, -20], [2, 0], [0, 30], [34, 0], [-42, 42], [-31, 31], [12, 0], [51, -51], [-2, 0], [0, -18], [49, -49], [-45, 0], [-10, 10], [42, 0], [-32, 0], [42, -42], [0, -4], [0, -33], [0, 40], [-9, 0], [-28, 0], [0, 57], [-23, 23], [30, 0], [0, -8], [0, -45], [-44, 0], [54, -54], [0, -9], [36, 0], [-7, 0], [0, -12], [54, -54], [-39, 39], [-26, 26], [32, -32]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 22518547926221780, 'hecke_ring_character_values': [[491, [1, 0]], [197, [1, 0]], [101, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '980.2.i.f', 'level': 980, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3920, 'analytic_conductor': 7.825339398085478, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [980, 3, [491, 197, 101], [3, 3, 2]], 'conrey_index': 361, 'cusp_dim': 288, 'dim': 28, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 549789369300, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '980.2.i', 'level': 980, '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, 5, 7], 'level_radical': 70, 'mf_dim': 384, 'mf_new_dim': 28, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 336, 'trace_bound': 11, 'trace_display': [0, -2, -2, 0], 'traces': [28, 0, -2, 0, -2, 0, 0, 0, -10, 0, 6, 0, 8, 0, -8, 0, -4, 0, 8, 0, 0, 0, -6, 0, -14, 0, 28, 0, -16, 0, 4, 0, 12, 0, 0, 0, -12, 0, -10, 0, -4, 0, 60, 0, -4, 0, 8, 0, 0, 0, -14, 0, 24, 0, 8, 0, 24, 0, -8, 0, 6, 0, 0, 0, 6, 0, -46, 0, -60, 0, -16, 0, 4, 0, -2, 0, 0, 0, -26, 0, -6, 0, -4, 0, -20, 0, -6, 0, 10, 0, 0, 0, -40, 0, -12, 0, 40, 0, -120, 0, -6, 0, 6, 0, 0, 0, 74, 0, 0, 0, 32, 0, 56, 0, 6, 0, -40, 0, 0, 0, 8, 0, 70, 0, 4, 0, -16, 0, 2, 0, 8, 0, 0, 0, 16, 0, -28, 0, -24, 0, 68, 0, 24, 0, -6, 0, 0, 0, -10, 0, 50, 0, -48, 0, 0, 0, 12, 0, 0, 0, 0, 0, 52, 0, -14, 0, 60, 0, 88, 0, -16, 0, -16, 0, 0, 0, 20, 0, 84, 0, -36, 0, -60, 0, -16, 0, -40, 0, 0, 0, -26, 0, -16, 0, 40, 0, -24, 0, 40, 0, 2, 0, 0, 0, -6, 0, -80, 0, -96, 0, -124, 0, -24, 0, -6, 0, 0, 0, -8, 0, -46, 0, -48, 0, 20, 0, -16, 0, -12, 0, 0, 0, -8, 0, -10, 0, 32, 0, 92, 0, 36, 0, 16, 0, 0, 0, 52, 0, 106, 0, -24, 0, -88, 0, 12, 0, -16, 0, 0, 0, 124, 0, 2, 0, 32, 0, -116, 0, -6, 0, -40, 0, 0, 0, 6, 0, -32, 0, -16, 0, -132, 0, 16, 0, -8, 0, 0, 0, -4, 0, 98, 0, 16, 0, -24, 0, -12, 0, 60, 0, 0, 0, 6, 0, -6, 0, 36, 0, 8, 0, 24, 0, -8, 0, 0, 0, 28, 0, 26, 0, -84, 0, -88, 0, -4, 0, -10, 0, 0, 0, -148, 0, -84, 0, -20, 0, 120, 0, 0, 0, 8, 0, 0, 0, 62, 0, -10, 0, 36, 0, 156, 0, -48, 0, -8, 0, 0, 0, 4, 0, -126, 0, -92, 0, 8, 0, 6, 0, 36, 0, 0, 0, -108, 0, 4, 0, 24, 0, 80, 0, -40, 0, -6, 0, 0, 0, -32, 0, 94, 0, 72, 0, -272, 0, 0, 0, 36, 0, 0, 0, 52, 0, -92, 0, 20, 0, -80, 0, 14, 0, 24, 0, 0, 0, -10, 0, 20, 0, 0, 0, 184, 0, 48, 0, -4, 0, 0, 0, -138, 0, -26, 0, 64, 0, 176, 0, 24, 0, -24, 0, 0, 0, 74, 0, -10, 0, 84, 0, 192, 0, -28, 0, 20, 0, 0, 0, 16, 0, 6, 0, -56, 0, 132, 0, 4, 0, 38, 0, 0, 0, 16, 0, 144, 0, -16, 0, -8, 0, -60, 0, -32, 0, 0, 0, -70, 0, -60, 0, 80, 0, -244, 0, -12, 0, 24, 0, 0, 0, 54, 0, -8, 0, -36, 0, -4, 0, -78, 0, -2, 0, 0, 0, -100, 0, 84, 0, 32, 0, 52, 0, 44, 0, 48, 0, 0, 0, -116, 0, -40, 0, 96, 0, 320, 0, 18, 0, 12, 0, 0, 0, -52, 0, -18, 0, 52, 0, 164, 0, 44, 0, 24, 0, 0, 0, 24, 0, -72, 0, -8, 0, 76, 0, -22, 0, 16, 0, 0, 0, 28, 0, -24, 0, 72, 0, 12, 0, 12, 0, -4, 0, 0, 0, -12, 0, -40, 0, -64, 0, -144, 0, -60, 0, -48, 0, 0, 0, 12, 0, -110, 0, 56, 0, 272, 0, -18, 0, -42, 0, 0, 0, -86, 0, 84, 0, -36, 0, -8, 0, 4, 0, 66, 0, 0, 0, -14, 0, 164, 0, 64, 0, -140, 0, -16, 0, -24, 0, 0, 0, -24, 0, 86, 0, 0, 0, -172, 0, 22, 0, 16, 0, 0, 0, 124, 0, -16, 0, -208, 0, -100, 0, 6, 0, 24, 0, 0, 0, -6, 0, -90, 0, 40, 0, -264, 0, -14, 0, -12, 0, 0, 0, 110, 0, -106, 0, -48, 0, -32, 0, 0, 0, -12, 0, 0, 0, -12, 0, 24, 0, -120, 0, -176, 0, 64, 0, 24, 0, 0, 0, 0, 0, -68, 0, 24, 0, -132, 0, 84, 0, -36, 0, 0, 0, 132, 0, 8, 0, -52, 0, -148, 0, -28, 0, 36, 0, 0, 0, 40, 0, -82, 0, -32, 0, 76, 0, 6, 0, -12, 0, 0, 0, -74, 0, -36, 0, -40, 0, 32, 0, -36, 0, 60, 0, 0, 0, -32, 0, -12, 0, 72, 0, 344, 0, -60, 0, 4, 0, 0, 0, 48, 0, 184, 0, 84, 0, 24, 0, -42, 0, -54, 0, 0, 0, -252, 0, -12, 0, -48, 0, 116, 0, 84, 0, -88, 0, 0, 0, -70, 0, -120, 0, -104, 0, -272, 0, 8, 0, 40, 0, 0, 0, 6, 0, -66, 0, -24, 0, 108, 0, -20, 0, -76, 0, 0, 0, 40, 0, 216, 0, 56, 0, 316, 0, 60, 0, -14, 0, 0, 0, 306, 0, -48, 0, 16, 0, -32, 0, -12, 0, -40, 0, 0, 0, 18, 0, 30, 0, -116, 0, -532, 0, 4, 0, -40, 0, 0, 0, -32, 0, -10, 0, 44, 0, -168, 0, -24, 0, 110, 0, 0, 0, 190, 0, 124, 0, -24, 0, -312, 0, 12, 0, -64, 0, 0, 0, -14, 0, 130, 0, 24, 0, -40, 0, 20, 0, 22, 0, 0, 0, 22, 0, 120, 0, 96, 0, 24, 0, 92, 0, -50, 0, 0, 0, 300, 0, -50, 0, 16, 0, -212, 0, 92, 0, -54, 0, 0, 0, -22, 0, -140, 0, 24, 0, 272, 0, 12, 0, 36, 0, 0, 0, 74, 0, 184, 0, 8, 0, 28, 0, -48, 0, -24, 0, 0, 0, -10, 0, 228, 0, 88, 0, 216, 0, -58, 0, 4, 0, 0, 0, -14, 0, -60, 0, 104, 0, 136, 0, -8, 0, -112, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 603495
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '140.2.i.a', 'target_level': 140, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 603496
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '140.2.i.a', 'target_level': 140, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 603497
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '560.2.q.f', 'target_level': 560, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 603498
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '560.2.q.f', 'target_level': 560, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 603499
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '700.2.i.b', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 603500
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '700.2.i.b', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 603501
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.2.r.a', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 603502
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '700.2.r.a', 'target_level': 700, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 603503
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '980.2.a.e', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 603504
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '980.2.a.g', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 603505
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '980.2.i.f', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 603506
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '980.2.i.f', 'target_level': 980, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 603507
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1260.2.s.c', 'target_level': 1260, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 603508
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1260.2.s.c', 'target_level': 1260, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 603509
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3920.2.a.k', 'target_level': 3920, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 603510
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3920.2.a.w', 'target_level': 3920, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 603511
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4900.2.a.i', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 603512
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4900.2.a.q', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 603513
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4900.2.e.m', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 603514
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4900.2.e.n', 'target_level': 4900, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 603515
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8820.2.a.a', 'target_level': 8820, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 603516
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '980.2.i.f', 'source_level': 980, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8820.2.a.p', 'target_level': 8820, 'twist_class_label': '140.2.i.a', 'twist_class_level': 140, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1566400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 2}
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id: 1566401
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 3}
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id: 1566402
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 5}
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id: 1566403
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 7}
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id: 1566404
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 11}
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id: 1566405
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 13}
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id: 1566406
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 17}
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id: 1566407
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 19}
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id: 1566408
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 23}
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id: 1566409
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 29}
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id: 1566410
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 31}
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id: 1566411
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 37}
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id: 1566412
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 41}
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id: 1566413
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 43}
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id: 1566414
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 47}
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id: 1566415
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 53}
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id: 1566416
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 59}
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id: 1566417
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 61}
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id: 1566418
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 67}
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id: 1566419
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 71}
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id: 1566420
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 73}
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id: 1566421
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 79}
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id: 1566422
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 83}
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id: 1566423
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 22518547926221780, 'p': 89}
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id: 1566424
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 22518547926221780, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 6, 'label': '980.2.i.f', 'level': 980, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44609209
{'hecke_orbit_code': 22518547926221780, 'n': 1, 'trace_an': 2}
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id: 44609210
{'hecke_orbit_code': 22518547926221780, 'n': 2, 'trace_an': 0}
-
id: 44609211
{'hecke_orbit_code': 22518547926221780, 'n': 3, 'trace_an': 1}
-
id: 44609212
{'hecke_orbit_code': 22518547926221780, 'n': 4, 'trace_an': 0}
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id: 44609213
{'hecke_orbit_code': 22518547926221780, 'n': 5, 'trace_an': -1}
-
id: 44609214
{'hecke_orbit_code': 22518547926221780, 'n': 6, 'trace_an': 0}
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id: 44609215
{'hecke_orbit_code': 22518547926221780, 'n': 7, 'trace_an': 0}
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id: 44609216
{'hecke_orbit_code': 22518547926221780, 'n': 8, 'trace_an': 0}
-
id: 44609217
{'hecke_orbit_code': 22518547926221780, 'n': 9, 'trace_an': 2}
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id: 44609218
{'hecke_orbit_code': 22518547926221780, 'n': 10, 'trace_an': 0}
-
id: 44609219
{'hecke_orbit_code': 22518547926221780, 'n': 11, 'trace_an': -6}
-
id: 44609220
{'hecke_orbit_code': 22518547926221780, 'n': 12, 'trace_an': 0}
-
id: 44609221
{'hecke_orbit_code': 22518547926221780, 'n': 13, 'trace_an': -4}
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id: 44609222
{'hecke_orbit_code': 22518547926221780, 'n': 14, 'trace_an': 0}
-
id: 44609223
{'hecke_orbit_code': 22518547926221780, 'n': 15, 'trace_an': -2}
-
id: 44609224
{'hecke_orbit_code': 22518547926221780, 'n': 16, 'trace_an': 0}
-
id: 44609225
{'hecke_orbit_code': 22518547926221780, 'n': 17, 'trace_an': -6}
-
id: 44609226
{'hecke_orbit_code': 22518547926221780, 'n': 18, 'trace_an': 0}
-
id: 44609227
{'hecke_orbit_code': 22518547926221780, 'n': 19, 'trace_an': 8}
-
id: 44609228
{'hecke_orbit_code': 22518547926221780, 'n': 20, 'trace_an': 0}
-
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id: 44609445
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id: 44609462
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id: 44609463
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id: 44609466
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