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mf_newforms • Show schema
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{'Nk2': 1044, 'analytic_conductor': 2.084095492755418, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 7, 'char_parity': 1, 'char_values': [261, 7, [146, 118], [7, 2]], 'cm_discs': [], 'conrey_index': 82, 'conrey_indexes': [82, 136, 181, 190, 199, 226], 'dim': 6, 'field_disc': -16807, 'field_disc_factorization': [[-1, 1], [7, 5]], 'field_poly': [1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 3, 2, -1, 4, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228322053, 'hecke_ring_generator_nbound': 5, '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, 29, 4, 1, 7, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '261.2.k.a', 'level': 261, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '29.2.d.a', 'nf_label': '6.0.16807.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(1-\\zeta_{14}-\\zeta_{14}^{3}+\\zeta_{14}^{4}-\\zeta_{14}^{5})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '261.2.k', 'trace_display': [2, 0, -1, 1], 'trace_hash': 2143837778380553219, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.915', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '98.717', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2639.849', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [6, 2, 0, -2, -1, 0, 1, 7, 0, 9, 11, 0, -5, -9, 0, 4, -8, 0, 1, -2, 0, 6, 7, 0, -24, -4, 0, -12, -6, 0, 5, 13, 0, 2, 1, 0, 11, -2, 0, 14, -20, 0, 13, -20, 0, 0, -11, 0, -22, -1, 0, -10, -3, 0, -17, 7, 0, -16, 56, 0, 3, -3, 0, 1, -5, 0, 19, 12, 0, -2, -21, 0, -25, 6, 0, -5, -11, 0, -9, 18, 0, -2, -17, 0, -8, 16, 0, 42, -7, 0, 5, 0, 0, 8, -13, 0, 1, -19, 0, 1, 29, 0, 3, 14, 0, -1, 1, 0, -9, 6, 0, -4, 1, 0, 42, 2, 0, 14, -6, 0, -26, -13, 0, 10, 23, 0, 1, -14, 0, -4, 21, 0, -22, -24, 0, 0, 5, 0, 21, 2, 0, 0, -71, 0, 43, -48, 0, 15, -55, 0, 19, 21, 0, -41, 19, 0, -24, 18, 0, 13, 35, 0, -5, 2, 0, -36, -19, 0, -12, 16, 0, -2, 44, 0, 52, 47, 0, -21, 13, 0, -1, 67, 0, -21, 11, 0, -10, 34, 0, 19, 60, 0, 21, -44, 0, 5, -19, 0, 37, -56, 0, 68, 27, 0, 8, -20, 0, -1, -25, 0, -3, -6, 0, -30, 6, 0, 37, -3, 0, -20, 2, 0, -65, -48, 0, -23, 1, 0, -19, 7, 0, -49, -24, 0, 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-21], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [1, -1, 0, -1, 1, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, -1], [-1, 1, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0], [1, -2, 0, 0, 2, -1], [2, -1, 1, -2, 0, -1], [0, 0, 0, 0, 0, 0], [2, 1, 2, 0, 1, -1], [1, 2, -2, 2, 1, 0], [0, 0, 0, 0, 0, 0], [-3, 4, -2, 4, -3, 0], [0, -3, 2, 1, 2, -3], [0, 0, 0, 0, 0, 0], [2, -3, 0, -3, 2, 0], [0, 0, 2, -2, 2, -2], [0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 2, -2], [-1, 1, -1, 1, 0, 1], [0, 0, 0, 0, 0, 0], [4, -4, 3, -3, 4, -4], [0, 1, -3, -1, -3, 1], [0, 0, 0, 0, 0, 0], [-7, 3, -7, 0, -4, 4], [-2, 4, 1, -1, -4, 2], [0, 0, 0, 0, 0, 0], [-2, 0, 1, 1, -1, -1], [-3, 0, -2, 2, -6, 2], [0, 0, 0, 0, 0, 0], [-1, 1, 0, 2, -6, 2], [3, -2, -1, 1, 2, -3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -2, 0], [0, 0, -1, -1, -1, 0], [0, 0, 0, 0, 0, 0], [3, -2, 2, -3, 0, 0], [1, -2, 2, -1, 0, -3], [0, 0, 0, 0, 0, 0], [3, 2, 5, 2, 3, 0], [-4, 0, -2, 0, 0, 2], [0, 0, 0, 0, 0, 0], [0, 3, -3, 1, -3, 3], [0, -3, 5, -4, 5, -3], [0, 0, 0, 0, 0, 0], [-1, 0, -4, -1, 1, 4], [-1, 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-20], [0, 13, -11, 15, -11, 13], [1, 12, -12, -1, 0, 2], [0, -7, 7, 9, 7, -7], [0, 9, -5, -7, -5, 9], [-3, -18, -3, 0, -16, 16], [1, 4, -18, 4, 1, 0], [1, -1, 0, -20, 20, -20], [27, -27, 0, -26, 12, -26], [-13, 6, 16, 6, -13, 0], [0, 15, -5, -23, -5, 15], [-5, 5, 0, -4, 38, -4], [5, 8, -8, -5, 0, -22], [0, -11, 27, -11, 27, -11], [-13, 12, 2, 12, -13, 0], [15, -14, 22, -22, 14, -15], [19, 0, 0, 0, 0, -19], [15, -10, 0, 0, 10, -15], [0, 19, -29, 17, -29, 19], [-3, 12, -3, 0, 4, -4], [7, -2, 7, 0, -2, 2], [0, 9, -17, -7, -17, 9], [13, -8, 12, -12, 8, -13], [38, 0, 20, -32, 32, -20], [3, 0, 0, -3, 0, 10], [13, -14, -6, -14, 13, 0], [0, 25, -9, -3, -9, 25], [6, 0, 26, -22, 22, -26], [-7, 7, 0, 4, 38, 4], [0, 0, 2, -20, 20, -2], [-11, 18, -18, 18, -11, 0], [27, -34, 12, -34, 27, 0], [7, -10, 30, -30, 10, -7], [1, 14, -8, 8, -14, -1], [1, -8, 24, -8, 1, 0], [7, -4, -18, -4, 7, 0], [12, 0, 24, -30, 30, -24], [13, -30, 30, -13, 0, -30], [4, 0, -12, 0, 0, 12], [9, -8, 8, -9, 0, 0], [4, 0, -10, -2, 2, 10], [15, -20, 20, -15, 0, 2], [7, 10, 2, 10, 7, 0], [5, -22, 5, 0, 24, -24], [-31, 24, -31, 0, -6, 6], [-35, 16, -35, 0, -10, 10], [0, -11, 27, -27, 27, -11], [3, -12, 12, -3, 0, 26], [29, -20, 18, -18, 20, -29], [21, -21, 0, -4, 16, -4], [23, -18, 26, -18, 23, 0]], 'char_orbit_index': 11, 'field_poly': [1, -1, 1, -1, 1, -1, 1], 'hecke_orbit_code': 687228322053, 'hecke_ring_character_values': [[146, [1, 0, 0, 0, 0, 0]], [118, [0, -1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 6, 'label': '261.2.k.a', 'level': 261, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1044, 'analytic_conductor': 2.084095492755418, 'char_conductor': 29, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 7, 'char_parity': 1, 'char_values': [261, 7, [146, 118], [7, 2]], 'conrey_index': 82, 'cusp_dim': 156, 'dim': 66, 'eis_dim': 48, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322053, 'hecke_orbit_dims': [6, 18, 18, 24], 'label': '261.2.k', 'level': 261, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 204, 'mf_new_dim': 78, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 11, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [8, 0, 7, -7], 'traces': [66, 8, 0, -12, 7, 0, -7, 25, 0, -3, -9, 0, 11, 3, 0, -14, 20, 0, -7, -52, 0, -22, 21, 0, 14, -6, 0, -4, -4, 0, -27, -51, 0, -64, -39, 0, -25, 50, 0, -12, 24, 0, 9, 42, 0, -16, -35, 0, -16, -17, 0, 14, -7, 0, 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229, 307, 0, -3, 185, 0, 226, 162, 0, -49, -159, 0, 289, 29, 0, 379, -5, 0, -137, -100, 0, -221], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 209045
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '29.2.d.a', 'target_level': 29, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 209046
{'conductor': 87, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '29.2.d.a', 'target_level': 29, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 209047
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '261.2.k.a', 'target_level': 261, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 209048
{'conductor': 29, 'degree': 6, 'multiplicity': 1, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 11, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '261.2.k.a', 'target_level': 261, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 209049
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '464.2.u.f', 'target_level': 464, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 209050
{'conductor': 348, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '464.2.u.f', 'target_level': 464, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '348.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 209051
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.l.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 209052
{'conductor': 435, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.l.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '435.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 209053
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.r.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 209054
{'conductor': 435, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.r.b', 'target_level': 725, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '435.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 209055
{'conductor': 87, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '841.2.a.e', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 209056
{'conductor': 87, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '841.2.a.f', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 209057
{'conductor': 87, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.b.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 209058
{'conductor': 87, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '841.2.d.a', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 209059
{'conductor': 87, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '841.2.d.b', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 209060
{'conductor': 87, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.d.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 209061
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.d.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 209062
{'conductor': 87, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.d.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 209063
{'conductor': 87, 'degree': 6, 'multiplicity': 2, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '841.2.d.e', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 209064
{'conductor': 87, 'degree': 12, 'multiplicity': 4, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '841.2.e.b', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 209065
{'conductor': 87, 'degree': 12, 'multiplicity': 4, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '841.2.e.c', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 209066
{'conductor': 87, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.e.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 209067
{'conductor': 87, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.e.d', 'target_level': 841, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '87.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 209068
{'conductor': 29, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7569.2.a.p', 'target_level': 7569, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 209069
{'conductor': 29, 'degree': 6, 'multiplicity': 1, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '261.2.k.a', 'source_level': 261, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7569.2.a.r', 'target_level': 7569, 'twist_class_label': '29.2.d.a', 'twist_class_level': 29, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 606725
{'charpoly_factorization': [[[1, 3, 2, -1, 4, -2, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 2}
-
id: 606726
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687228322053, 'p': 3}
-
id: 606727
{'charpoly_factorization': [[[1, 1, 1, -13, 15, 1, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 5}
-
id: 606728
{'charpoly_factorization': [[[1, -1, 1, 13, 15, -1, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 7}
-
id: 606729
{'charpoly_factorization': [[[1681, -1927, 1089, -365, 79, -11, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 11}
-
id: 606730
{'charpoly_factorization': [[[1849, -1075, 513, 181, 25, 5, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 13}
-
id: 606731
{'charpoly_factorization': [[[-8, -4, 4, 1], 2]], 'hecke_orbit_code': 687228322053, 'p': 17}
-
id: 606732
{'charpoly_factorization': [[[169, 13, 29, -15, 1, -1, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 19}
-
id: 606733
{'charpoly_factorization': [[[2401, -2401, 1029, -245, 49, -7, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 23}
-
id: 606734
{'charpoly_factorization': [[[24389, 5046, -377, -316, -13, 6, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 29}
-
id: 606735
{'charpoly_factorization': [[[6889, -2075, 1885, -139, -3, -5, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 31}
-
id: 606736
{'charpoly_factorization': [[[1681, -1927, 1089, -365, 79, -11, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 37}
-
id: 606737
{'charpoly_factorization': [[[8, 24, 10, 1], 2]], 'hecke_orbit_code': 687228322053, 'p': 41}
-
id: 606738
{'charpoly_factorization': [[[169, -13, 337, -265, 85, -13, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 43}
-
id: 606739
{'charpoly_factorization': [[[57121, 2151, 1257, 295, 65, 11, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 47}
-
id: 606740
{'charpoly_factorization': [[[1, -9, 417, 41, -5, 3, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 53}
-
id: 606741
{'charpoly_factorization': [[[-728, 252, -28, 1], 2]], 'hecke_orbit_code': 687228322053, 'p': 59}
-
id: 606742
{'charpoly_factorization': [[[169, -117, -3, -13, 37, -3, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 61}
-
id: 606743
{'charpoly_factorization': [[[169, 767, 1017, -167, 235, -19, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 67}
-
id: 606744
{'charpoly_factorization': [[[35721, -11907, 3969, 945, 189, 21, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 71}
-
id: 606745
{'charpoly_factorization': [[[175561, 90085, 22425, 3473, 373, 25, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 73}
-
id: 606746
{'charpoly_factorization': [[[729, -2187, 2025, -27, 81, 9, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 79}
-
id: 606747
{'charpoly_factorization': [[[28561, 22139, 8089, 1693, 219, 17, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 83}
-
id: 606748
{'charpoly_factorization': [[[8281, 9555, 6321, 1337, 119, 7, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 89}
-
id: 606749
{'charpoly_factorization': [[[169, 1105, 4761, -1849, 211, -1, 1], 1]], 'hecke_orbit_code': 687228322053, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '261.2.k.a', 'level': 261, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 40808000
{'hecke_orbit_code': 687228322053, 'n': 1, 'trace_an': 6}
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id: 40808001
{'hecke_orbit_code': 687228322053, 'n': 2, 'trace_an': 2}
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id: 40808002
{'hecke_orbit_code': 687228322053, 'n': 3, 'trace_an': 0}
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id: 40808003
{'hecke_orbit_code': 687228322053, 'n': 4, 'trace_an': -2}
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id: 40808004
{'hecke_orbit_code': 687228322053, 'n': 5, 'trace_an': -1}
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id: 40808005
{'hecke_orbit_code': 687228322053, 'n': 6, 'trace_an': 0}
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id: 40808006
{'hecke_orbit_code': 687228322053, 'n': 7, 'trace_an': 1}
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id: 40808007
{'hecke_orbit_code': 687228322053, 'n': 8, 'trace_an': 7}
-
id: 40808008
{'hecke_orbit_code': 687228322053, 'n': 9, 'trace_an': 0}
-
id: 40808009
{'hecke_orbit_code': 687228322053, 'n': 10, 'trace_an': 9}
-
id: 40808010
{'hecke_orbit_code': 687228322053, 'n': 11, 'trace_an': 11}
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id: 40808011
{'hecke_orbit_code': 687228322053, 'n': 12, 'trace_an': 0}
-
id: 40808012
{'hecke_orbit_code': 687228322053, 'n': 13, 'trace_an': -5}
-
id: 40808013
{'hecke_orbit_code': 687228322053, 'n': 14, 'trace_an': -9}
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id: 40808014
{'hecke_orbit_code': 687228322053, 'n': 15, 'trace_an': 0}
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id: 40808015
{'hecke_orbit_code': 687228322053, 'n': 16, 'trace_an': 4}
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id: 40808016
{'hecke_orbit_code': 687228322053, 'n': 17, 'trace_an': -8}
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id: 40808017
{'hecke_orbit_code': 687228322053, 'n': 18, 'trace_an': 0}
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id: 40808018
{'hecke_orbit_code': 687228322053, 'n': 19, 'trace_an': 1}
-
id: 40808019
{'hecke_orbit_code': 687228322053, 'n': 20, 'trace_an': -2}
-
id: 40808020
{'hecke_orbit_code': 687228322053, 'n': 21, 'trace_an': 0}
-
id: 40808021
{'hecke_orbit_code': 687228322053, 'n': 22, 'trace_an': 6}
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id: 40808022
{'hecke_orbit_code': 687228322053, 'n': 23, 'trace_an': 7}
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id: 40808023
{'hecke_orbit_code': 687228322053, 'n': 24, 'trace_an': 0}
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id: 40808024
{'hecke_orbit_code': 687228322053, 'n': 25, 'trace_an': -24}
-
id: 40808025
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