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mf_newforms • Show schema
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{'Nk2': 2175, 'analytic_conductor': 1.0854664024767802, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 87, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [2175, 2, [1451, 2002, 901], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 1826, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-2, 0, 1]], [7, [0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022078817339519, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 145, 4, 1, 2, 145], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 29, 2, 1, 2, 0], [1, 1, 87, 4, -1, 2, 0], [1, 1, 435, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': True, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '2175.1.h.g', 'level': 2175, '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': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '435.1.b.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 4, 'projective_field': [19, -2, 8, -1, 1], 'projective_field_label': '4.0.6525.1', 'projective_image': 'D4', 'projective_image_type': 'Dn', 'qexp_display': 'q+(-\\zeta_{8}+\\zeta_{8}^{3})q^{2}-\\zeta_{8}q^{3}+q^{4}+(1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [145], 'self_twist_discs': [145], 'self_twist_type': 2, 'space_label': '2175.1.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1583492368511304354, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.424', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.486', 'prec': 17}, {'__RealLiteral__': 0, 'data': '219.144', 'prec': 24}, {'__RealLiteral__': 0, 'data': '223.128', 'prec': 24}, {'__RealLiteral__': 0, 'data': '14025.214', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.946', 'prec': 17}, 'traces': [4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[[1, 0]], [[-1, 1], [1, 3]], [[-1, 1]], [[1, 0]], [], [[1, 0], [1, 2]], [], [], [[1, 2]], [], [], [[-1, 1]], [], [], [], [[-1, 0]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [], [], [], [], [], [], [], [], [[-1, 3]], [], [[-1, 2]], [], [], [[1, 1], [-1, 3]], [], [[2, 0], [1, 2], [-1, 2]], [], [[1, 2]], [[-1, 1], [-1, 3]], [], [], [], [], [], [[1, 1], [1, 3]], [], [], [], [[1, 1], [-1, 3]], [[1, 1]], [[-1, 0]], [], [[1, 0], [1, 2]], [], [], [[-1, 0], [1, 2]], [], [], [], [[1, 1], [1, 3]], [[-1, 2], [-1, 2]], [], [], [], [], [[-1, 0]], [], [], [], [[-1, 1], [1, 3]], [], [], [[-1, 2], [-1, 2]], [], [[-1, 1], [-1, 3]], [[1, 2], [1, 2]], [], [], [], [], [], [], [[-1, 0]], [], [], [], [], [[-1, 2], [-1, 2]], [[1, 3]], [], [], [], [], [], [], [[-2, 0], [-1, 2], [1, 2]], [], [[-1, 0], [-1, 2]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [], []], 'ap': [[[-1, 1], [1, 3]], [[-1, 1]], [], [], [], [], [[-1, 1], [1, 3]], [], [], [[-1, 2]], [], [[-1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [], [[-1, 2], [-1, 2]], [], [], [[-1, 2], [-1, 2]], [[-1, 1], [-1, 3]], [], [], [], [[1, 1], [1, 3]], [], [], [], [[-1, 0], [-1, 0]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [], [[-1, 1], [1, 3]], [[1, 0], [1, 0]], [], [], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [], [], [], [], [], [[-1, 1], [-1, 3]], [], [], [], [], [], [], [], [[1, 2], [1, 2]], [], [], [], [[-1, 1], [1, 3]], [], [], [], [], [], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [], [], [[1, 1], [-1, 3]], [], [[-1, 1], [-1, 3]], [], [], [], [], [[1, 1], [1, 3]], [], [], [], [], [], [[1, 2], [1, 2]], [], [[-1, 2], [-1, 2]], [], [], [[-1, 1], [-1, 3]], [], [[-1, 1], [1, 3]], [], [], [], [], [[1, 1], [-1, 3]], [], [], [], [[1, 0], [1, 0]], [[1, 1], [-1, 3]], [], [], [], [], [], [], [[1, 1], [-1, 3]], [], [[-1, 0], [-1, 0]], [[-1, 1], [-1, 3]], [], [], [], [], [[-1, 1], [-1, 3]], [], [[-1, 1], [1, 3]], [], [[-1, 0], [-1, 0]], [], [], [], [[-1, 1], [1, 3]], [], [], [], [[1, 1], [-1, 3]], [], [], [[1, 2], [1, 2]], [[1, 0], [1, 0]], [[-1, 2], [-1, 2]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [], [[1, 1], [-1, 3]], [], [[-1, 1], [-1, 3]], [[-1, 2], [-1, 2]], [], [[-1, 1], [1, 3]], [], [[-1, 1], [1, 3]], [], [[1, 0], [1, 0]], [], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [], [], [[1, 1], [1, 3]], [], [], [], [], [], [], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [], [], [], [], [], [[-1, 1], [1, 3]], [], [[1, 1], [1, 3]], [], [], [[1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [], [[1, 1], [-1, 3]], [[1, 2], [1, 2]], [[1, 0], [1, 0]], [[1, 2], [1, 2]], [[1, 1], [1, 3]], [], [], [], [], [[1, 1], [1, 3]], [], [[-1, 1], [-1, 3]], [], [], [], [], [], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [], [], [], [[1, 1], [-1, 3]], [], [], [[-1, 1], [1, 3]], [], [], [], [], [], [], [[1, 0], [1, 0]], [[1, 1], [1, 3]], [], [], [], [], [], [], [], [[-1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [], [[-1, 0], [-1, 0]], [], [], [], [[-1, 1], [1, 3]], [], [[-1, 0], [-1, 0]], [], [[-1, 1], [-1, 3]], [], [], [[-1, 1], [1, 3]], [], [[-1, 1], [-1, 3]], [[-1, 2], [-1, 2]], [[1, 1], [1, 3]], [], [], [], [], [[-1, 1], [1, 3]], [], [[1, 1], [-1, 3]], [], [], [[1, 1], [-1, 3]], [], [], [], [], [], [], [[-1, 2], [-1, 2]], [], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 2], [1, 2]], [[1, 1], [-1, 3]], [], [[1, 1], [-1, 3]], [], [], [[1, 1], [1, 3]], [], [], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 0], [1, 0]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [], [], [], [[1, 1], [1, 3]], [], [], [], [], [], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [], [], [[-1, 2], [-1, 2]], [], [[-1, 0], [-1, 0]], [], [[-1, 0], [-1, 0]], [[1, 1], [1, 3]], [], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 0], [-1, 0]], [[1, 2], [1, 2]], [[-1, 2], [-1, 2]], [], [], [], [[-1, 1], [-1, 3]], [[-1, 2], [-1, 2]], [], [], [[-1, 2], [-1, 2]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [], []], 'char_orbit_index': 8, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 27022078817339519, 'hecke_ring_character_values': [[1451, [[-1, 0]]], [2002, [[1, 0]]], [901, [[-1, 0]]]], 'hecke_ring_cyclotomic_generator': 8, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2175.1.h.g', 'level': 2175, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 2175, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.0854664024767802, 'char_conductor': 87, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [2175, 2, [1451, 2002, 901], [1, 2, 1]], 'conrey_index': 1826, 'cusp_dim': 24, 'dihedral_dim': 18, 'dim': 18, 'eis_dim': 12, 'eis_new_dim': 6, 'hecke_orbit_code': 481053116543, 'hecke_orbit_dims': [1, 1, 3, 3, 3, 3, 4], 'label': '2175.1.h', 'level': 2175, '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': [3, 5, 29], 'level_radical': 435, 'mf_dim': 36, 'mf_new_dim': 24, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 18, 's4_dim': 0, 'sturm_bound': 300, 'trace_bound': 14, 'trace_display': [0, 0, 0, 2], 'traces': [18, 0, 0, 16, 0, 2, 2, 0, 14, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0, -2, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 12, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, -6, 0, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 10, 4, 0, 0, 0, 0, -2, 2, 0, 0, -10, 0, 0, -18, 0, -16, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -10, 0, -4, -2, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -14, 0, 0, 6, 0, -6, 0, 0, 10, 0, 0, 0, 0, 0, 0, -8, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, -2, 0, 0, -2, 0, -8, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, -4, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, -10, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, -14, 0, 0, 16, 0, 4, 0, 0, -16, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -10, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 0, -2, 0, 0, 0, 18, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -14, 0, -2, 0, 0, -4, 4, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, 0, -10, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -10, 0, 0, 0, 0, 0, 0, -20, 0, 0, -2, 0, 12, 2, 0, -4, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, -6, 0, 0, 0, 2, 0, 0, 0, 0, 0, -10, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -6, -4, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2, 2, 0, 0, 4, 0, -2, 18, 0, 8, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 22, 2, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 2, 0, 0, 0, -16, 0, -4, 16, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -12, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 18, 0, 0, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, -12, 0, 20, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 26, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -2, 0, 0, 0, 0, -2, 28, 0, 0, -4, 0, -4, 0, 0, 2, 0, 0, 0, -12, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 6, 0, 0, 0, 0, 10, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, -4, -4, 0, -6, 0, 0, 0, -4, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -14, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 4, 0, 12, 0, 0, -4, 0, 0, 0, 0, 0, 2, -12, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -2, 0, 0, 0, 0, 0, 4, 0, 0, 18, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -10, 0, -2, 4, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 887804
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 887805
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 887806
{'conductor': 145, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '145.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 887807
{'conductor': 435, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '435.p', 'twisting_char_orbit': 16, 'weight': 1}
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id: 887808
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 887809
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 887810
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 887811
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 887812
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 887813
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 887814
{'conductor': 145, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 145, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '145.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 887815
{'conductor': 435, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '2175.1.h.g', 'source_level': 2175, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '435.b', 'twisting_char_orbit': 2, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2471150
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 2}
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id: 2471151
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 27022078817339519, 'p': 3}
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id: 2471152
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 5}
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id: 2471153
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 7}
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id: 2471154
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 11}
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id: 2471155
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 13}
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id: 2471156
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 17}
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id: 2471157
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 19}
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id: 2471158
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 23}
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id: 2471159
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 29}
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id: 2471160
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 31}
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id: 2471161
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 37}
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id: 2471162
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 41}
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id: 2471163
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 43}
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id: 2471164
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 47}
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id: 2471165
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 53}
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id: 2471166
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 59}
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id: 2471167
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 61}
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id: 2471168
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 67}
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id: 2471169
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 71}
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id: 2471170
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 73}
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id: 2471171
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 79}
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id: 2471172
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 83}
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id: 2471173
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022078817339519, 'p': 89}
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id: 2471174
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 27022078817339519, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 7, 'label': '2175.1.h.g', 'level': 2175, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 47451853
{'hecke_orbit_code': 27022078817339519, 'n': 1, 'trace_an': 4}
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id: 47451854
{'hecke_orbit_code': 27022078817339519, 'n': 2, 'trace_an': 0}
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id: 47451855
{'hecke_orbit_code': 27022078817339519, 'n': 3, 'trace_an': 0}
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id: 47451856
{'hecke_orbit_code': 27022078817339519, 'n': 4, 'trace_an': 4}
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id: 47451857
{'hecke_orbit_code': 27022078817339519, 'n': 5, 'trace_an': 0}
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id: 47451858
{'hecke_orbit_code': 27022078817339519, 'n': 6, 'trace_an': 4}
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id: 47451859
{'hecke_orbit_code': 27022078817339519, 'n': 7, 'trace_an': 0}
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id: 47451860
{'hecke_orbit_code': 27022078817339519, 'n': 8, 'trace_an': 0}
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id: 47451861
{'hecke_orbit_code': 27022078817339519, 'n': 9, 'trace_an': 0}
-
id: 47451862
{'hecke_orbit_code': 27022078817339519, 'n': 10, 'trace_an': 0}
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id: 47451863
{'hecke_orbit_code': 27022078817339519, 'n': 11, 'trace_an': 0}
-
id: 47451864
{'hecke_orbit_code': 27022078817339519, 'n': 12, 'trace_an': 0}
-
id: 47451865
{'hecke_orbit_code': 27022078817339519, 'n': 13, 'trace_an': 0}
-
id: 47451866
{'hecke_orbit_code': 27022078817339519, 'n': 14, 'trace_an': 0}
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id: 47451867
{'hecke_orbit_code': 27022078817339519, 'n': 15, 'trace_an': 0}
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id: 47451868
{'hecke_orbit_code': 27022078817339519, 'n': 16, 'trace_an': -4}
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id: 47451869
{'hecke_orbit_code': 27022078817339519, 'n': 17, 'trace_an': 0}
-
id: 47451870
{'hecke_orbit_code': 27022078817339519, 'n': 18, 'trace_an': 0}
-
id: 47451871
{'hecke_orbit_code': 27022078817339519, 'n': 19, 'trace_an': 0}
-
id: 47451872
{'hecke_orbit_code': 27022078817339519, 'n': 20, 'trace_an': 0}
-
id: 47451873
{'hecke_orbit_code': 27022078817339519, 'n': 21, 'trace_an': 0}
-
id: 47451874
{'hecke_orbit_code': 27022078817339519, 'n': 22, 'trace_an': 0}
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id: 47451875
{'hecke_orbit_code': 27022078817339519, 'n': 23, 'trace_an': 0}
-
id: 47451876
{'hecke_orbit_code': 27022078817339519, 'n': 24, 'trace_an': 0}
-
id: 47451877
{'hecke_orbit_code': 27022078817339519, 'n': 25, 'trace_an': 0}
-
id: 47451878
{'hecke_orbit_code': 27022078817339519, 'n': 26, 'trace_an': 0}
-
id: 47451879
{'hecke_orbit_code': 27022078817339519, 'n': 27, 'trace_an': 0}
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id: 47451880
{'hecke_orbit_code': 27022078817339519, 'n': 28, 'trace_an': 0}
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id: 47451881
{'hecke_orbit_code': 27022078817339519, 'n': 29, 'trace_an': 0}
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