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mf_newforms • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [930, 3, [311, 187, 871], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 211, 'conrey_indexes': [211, 811], '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, [16, 4, 1]], [11, [9, -3, 1]], [13, [4, -2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022147553592226, '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, 31, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '930.2.i.g', 'level': 930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.i.g', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+q^{2}+(1-\\zeta_{6})q^{3}+q^{4}+\\zeta_{6}q^{5}+(1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '930.2.i', 'trace_display': [2, 1, 1, -4], 'trace_hash': 433635900650495310, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.921', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.755', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '94.771', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, 2, 1, 2, 1, 1, -4, 2, -1, 1, 3, 1, 2, -4, 2, 2, -3, -1, 0, 1, 4, 3, 6, 1, -1, 2, -2, -4, 4, 2, 4, 2, 6, -3, -8, -1, -1, 0, 4, 1, 2, 4, 1, 3, 1, 6, -2, 1, -9, -1, 3, 2, -4, -2, -3, -4, 0, 4, 4, 2, 12, 4, 8, 2, -2, 6, -11, -3, 3, -8, -6, -1, 14, -1, 1, 0, -24, 4, 13, 1, -1, 2, -12, 4, -6, 1, 2, 3, -16, 1, -16, 6, -7, -2, 0, 1, 28, -9, 3, -1, -6, 3, 6, 2, -4, -4, -8, -2, 24, -3, 1, -4, 1, 0, 3, 4, 2, 4, -12, 2, 2, 12, 4, 4, -2, 8, -6, 2, -1, -2, -21, 6, 0, -11, -1, -3, 3, 3, -28, -8, -1, -6, -6, -1, 2, 14, -18, -1, 6, 1, -46, 0, 6, -24, 11, 4, 36, 13, -8, 1, -12, -1, 6, 2, 3, -12, -16, 4, 9, -6, 0, 1, -22, 2, -4, 3, -4, -16, 9, 1, -12, -16, 6, 6, -2, -7, -18, -2, 4, 0, -10, 1, 2, 28, 2, -9, 8, 3, 0, -1, -22, -6, -8, 3, -2, 6, -3, 2, 0, -4, 8, -4, -12, -8, 2, -2, 28, 24, 28, -3, -12, 1, 26, -4, 2, 1, 0, 0, 28, 3, -12, 4, -22, 2, -1, 4, -13, -12, -6, 2, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 0], [1, -1], [1, 0], [0, 1], [1, -1], [-4, 4], [1, 0], [0, -1], [0, 1], [0, 3], [1, -1], [0, 2], [-4, 4], [1, 0], [1, 0], [-3, 3], [0, -1], [0, 0], [0, 1], [0, 4], [0, 3], [3, 0], [1, -1], [-1, 1], [0, 2], [-1, 0], [-4, 4], [2, 0], [1, 0], [5, -6], [1, 0], [3, 0], [-3, 3], [-4, 0], [0, -1], [-1, 1], [0, 0], [2, 0], [0, 1], [0, 2], [0, 4], [1, -1], [0, 3], [1, -1], [3, 0], [-1, 0], [1, -1], [0, -9], [-1, 1], [0, 3], [0, 2], [0, -4], [-1, 0], [-3, 3], [-4, 4], [0, 0], [2, 0], [4, -4], [1, 0], [6, 0], [5, -6], [4, 0], [1, 0], [-2, 2], [3, 0], [0, -11], [-3, 3], [3, -3], [-4, 0], [0, -6], [0, -1], [0, 14], [-1, 1], [0, 1], [0, 0], [-12, 0], [2, 0], [13, -13], [0, 1], [-1, 1], [0, 2], [0, -12], [0, 4], [-3, 0], [1, -1], [2, -2], [0, 3], [-8, 0], [1, -1], [-8, 0], [3, 0], [-1, -5], [-1, 0], [0, 0], [1, -1], [14, 0], [0, -9], [3, -3], [-1, 1]], 'ap': [[1, 0], [1, -1], [0, 1], [-4, 4], [0, 3], [0, 2], [-3, 3], [0, 0], [3, 0], [2, 0], [5, -6], [-1, 1], [0, 2], [1, -1], [-1, 0], [0, -4], [4, -4], [6, 0], [0, -11], [0, -6], [0, 14], [13, -13], [0, -12], [-8, 0], [14, 0], [-3, 0], [0, 6], [-8, 8], [12, 0], [0, 1], [-6, 6], [-21, 21], [0, 3], [-14, 0], [6, -6], [-23, 0], [18, 0], [3, 0], [-16, 16], [0, -22], [9, -9], [0, -12], [0, -10], [2, -2], [0, 8], [0, 0], [8, -8], [26, -26], [0, 0], [28, -28], [-11, 0], [0, -6], [-10, 10], [-9, 9], [0, 13], [-23, 0], [0, -21], [20, 0], [19, 0], [30, 0], [11, 0], [12, -12], [-16, 16], [18, 0], [-14, 14], [-8, 8], [0, -24], [16, 0], [-26, 26], [14, 0], [-17, 17], [0, -24], [0, 0], [3, 0], [22, -22], [0, -15], [-19, 19], [-21, 21], [10, 0], [-3, 3], [21, 0], [0, -6], [30, -30], [-28, 0], [0, 27], [0, 18], [-26, 0], [-4, 0], [-21, 0], [-12, 0], [-8, 0], [18, -18], [0, -4], [0, 15], [-8, 8], [-16, 16], [0, 41], [-24, 24], [27, 0], [6, -6], [0, 15], [12, 0], [0, 14], [0, -10], [0, -32], [-24, 24], [42, 0], [6, 0], [0, -18], [19, -19], [0, -8], [2, -2], [43, -43], [4, 0], [0, -13], [0, -4], [-28, 0], [32, 0], [-4, 0], [9, 0], [0, 42], [0, -34], [0, 34], [12, 0], [0, -50], [-27, 27], [10, 0], [28, -28], [-44, 44], [0, 13], [0, 10], [9, 0], [41, -41], [0, -27], [-28, 28], [-30, 30], [-10, 0], [-17, 17], [0, -40], [-40, 40], [0, 16], [3, 0], [-54, 54], [0, -48], [-10, 0], [-42, 0], [-42, 0], [0, -35], [0, 20], [0, -45], [0, -3], [0, -12], [-33, 0], [-49, 49], [-16, 0], [36, -36], [0, 39], [-36, 0], [54, -54], [0, -7], [34, -34], [2, 0], [8, -8], [0, 27], [-30, 0], [0, -56], [-16, 0], [0, -42]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 27022147553592226, 'hecke_ring_character_values': [[311, [1, 0]], [187, [1, 0]], [871, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '930.2.i.g', 'level': 930, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3720, 'analytic_conductor': 7.426087387979075, 'char_conductor': 31, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [930, 3, [311, 187, 871], [3, 3, 1]], 'conrey_index': 211, 'cusp_dim': 368, 'dim': 40, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 549789369250, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6], 'label': '930.2.i', 'level': 930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 400, 'mf_new_dim': 40, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 20, 'sturm_bound': 384, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 40, 0, 0, 0, 0, -20, 0, 8, 0, -24, 8, 0, 40, -8, 0, 0, 0, 0, 0, 64, 0, -20, 8, 0, 0, 16, 8, 0, 0, 32, 4, 32, -20, 8, 24, 0, 0, 0, -8, -32, 8, 0, 8, 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-192, 40, -96, 16, 24, -64, 88, 32, -88, 48, -96, -224, -240, 32, -64, 0, 176, 32, 72, 16, -64, 24, -28, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 574951
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '930.2.i.g', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '930.2.i.g', 'target_level': 930, 'twist_class_label': '930.2.i.g', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 574952
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '930.2.i.g', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '930.2.i.g', 'target_level': 930, 'twist_class_label': '930.2.i.g', 'twist_class_level': 930, 'twisting_char_label': '31.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1502675
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 2}
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id: 1502676
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 3}
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id: 1502677
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 5}
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id: 1502678
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 7}
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id: 1502679
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 11}
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id: 1502680
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 13}
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id: 1502681
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 17}
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id: 1502682
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 19}
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id: 1502683
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 23}
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id: 1502684
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 29}
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id: 1502685
{'charpoly_factorization': [[[31, -4, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 31}
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id: 1502686
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 37}
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id: 1502687
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 41}
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id: 1502688
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 43}
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id: 1502689
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 47}
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id: 1502690
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 53}
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id: 1502691
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 59}
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id: 1502692
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 61}
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id: 1502693
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 67}
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id: 1502694
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 71}
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id: 1502695
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 73}
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id: 1502696
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 79}
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id: 1502697
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 27022147553592226, 'p': 83}
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id: 1502698
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 89}
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id: 1502699
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 27022147553592226, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 7, 'label': '930.2.i.g', 'level': 930, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 184117000
{'hecke_orbit_code': 27022147553592226, 'n': 1, 'trace_an': 2}
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id: 184117001
{'hecke_orbit_code': 27022147553592226, 'n': 2, 'trace_an': 2}
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id: 184117002
{'hecke_orbit_code': 27022147553592226, 'n': 3, 'trace_an': 1}
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id: 184117003
{'hecke_orbit_code': 27022147553592226, 'n': 4, 'trace_an': 2}
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id: 184117004
{'hecke_orbit_code': 27022147553592226, 'n': 5, 'trace_an': 1}
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id: 184117005
{'hecke_orbit_code': 27022147553592226, 'n': 6, 'trace_an': 1}
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id: 184117006
{'hecke_orbit_code': 27022147553592226, 'n': 7, 'trace_an': -4}
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id: 184117007
{'hecke_orbit_code': 27022147553592226, 'n': 8, 'trace_an': 2}
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id: 184117008
{'hecke_orbit_code': 27022147553592226, 'n': 9, 'trace_an': -1}
-
id: 184117009
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{'hecke_orbit_code': 27022147553592226, 'n': 1000, 'trace_an': -2}