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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, [9, 3, 1]], [11, [1, -1, 1]], [13, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416739746, '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.b', '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.b', '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, -3], 'trace_hash': 1950722673157269993, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.359', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.907', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.791', 'prec': 17}, {'__RealLiteral__': 0, 'data': '120.255', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [2, -2, 1, 2, 1, -1, -3, -2, -1, -1, 1, 1, 0, 3, 2, 2, -2, 1, -2, 1, 3, -1, -8, -1, -1, 0, -2, -3, -14, -2, 7, -2, 2, 2, -6, -1, -4, 2, 0, -1, 0, -3, -8, 1, 1, 8, -12, 1, -2, 1, 2, 0, -5, 2, -1, 3, 2, 14, 7, 2, 24, -7, 6, 2, 0, -2, 8, -2, -4, 6, 0, 1, 6, 4, 1, -2, -6, 0, -8, 1, -1, 0, 9, 3, -4, 8, -7, -1, 12, -1, 0, -8, 11, 12, -4, -1, -10, 2, 1, -1, -14, -2, 1, 0, -3, 5, -7, -2, -12, 1, 4, -3, 4, -2, -4, -14, 0, -7, -6, -2, 10, -24, 0, 7, -2, -6, -13, -2, 8, 0, 4, 2, -6, -8, -1, 2, -6, 4, 28, -6, -6, 0, 0, -1, -7, -6, -4, -4, -7, -1, 38, 2, 4, 6, -4, 0, -24, 8, -10, -1, 12, 1, 0, 0, 1, -9, 12, -3, 13, 4, 4, -8, 5, 7, -3, 1, -7, -12, -5, 1, -18, 0, 12, 8, -8, -11, -4, -12, 3, 4, 8, 1, 19, 10, 0, -2, -14, -1, 5, 1, 16, 14, 21, 2, 0, -1, 4, 0, -4, 3, -14, -5, 0, 7, -16, 2, -33, 12, 12, -1, 0, -4, 17, 3, 2, -4, 13, 2, 20, 4, -3, 14, 32, 0, -6, 7, 8, 6, 0, 2, 17, -10, 1, 24, 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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], [-3, 3], [-1, 0], [0, -1], [0, -1], [0, 1], [1, -1], [0, 0], [3, -3], [1, 0], [1, 0], [-2, 2], [0, 1], [-2, 2], [0, 1], [0, 3], [0, -1], [-4, 0], [-1, 1], [-1, 1], [0, 0], [-1, 0], [-3, 3], [-7, 0], [-1, 0], [1, 5], [-1, 0], [1, 0], [2, -2], [-3, 0], [0, -1], [-4, 4], [2, -2], [0, 0], [0, -1], [0, 0], [0, -3], [-8, 8], [0, 1], [1, -1], [4, 0], [-6, 0], [1, -1], [0, -2], [1, -1], [0, 2], [0, 0], [0, -5], [1, 0], [-1, 1], [3, -3], [0, 2], [7, 0], [7, -7], [1, 0], [12, 0], [-1, -5], [3, 0], [1, 0], [0, 0], [-1, 0], [0, 8], [-2, 2], [-4, 4], [3, 0], [0, 0], [0, 1], [0, 6], [4, -4], [0, 1], [-2, 2], [-3, 0], [0, 0], [-8, 8], [0, 1], [-1, 1], [0, 0], [0, 9], [0, 3], [-2, 0], [8, -8], [-7, 7], [0, -1], [6, 0], [-1, 1], [0, 0], [-4, 0], [6, -1], [6, 0], [-2, 0], [-1, 1], [-5, 0], [0, 2], [1, -1], [-1, 1]], 'ap': [[-1, 0], [1, -1], [0, 1], [-3, 3], [0, 1], [0, 0], [-2, 2], [-2, 2], [-4, 0], [-7, 0], [1, 5], [-4, 4], [0, 0], [-8, 8], [-6, 0], [0, -5], [7, -7], [12, 0], [0, 8], [0, 0], [0, 6], [-8, 8], [0, 9], [6, 0], [-5, 0], [-7, 0], [0, 1], [-7, 7], [-6, 0], [0, 4], [-13, 13], [4, -4], [0, -6], [14, 0], [-7, 7], [19, 0], [-12, 0], [0, 0], [12, -12], [0, 5], [-5, 5], [0, -18], [0, 8], [19, -19], [0, -14], [0, 5], [-14, 14], [17, -17], [0, 13], [20, -20], [16, 0], [0, 0], [17, -17], [4, -4], [0, -28], [6, 0], [0, 18], [-17, 0], [-18, 0], [-2, 0], [0, 0], [3, -3], [-2, 2], [-16, 0], [7, -7], [7, -7], [0, 0], [-7, 0], [31, -31], [-26, 0], [-18, 18], [0, 20], [0, -16], [22, 0], [-10, 10], [0, 8], [30, -30], [-22, 22], [32, 0], [-15, 15], [-21, 0], [0, -20], [-30, 30], [26, 0], [0, 17], [0, -20], [6, 0], [14, 0], [7, 0], [-15, 0], [23, 0], [-30, 30], [0, 25], [0, -11], [-4, 4], [-44, 44], [0, 27], [-28, 28], [20, 0], [40, -40], [0, 14], [27, 0], [0, 39], [0, 24], [0, 2], [18, -18], [13, 0], [2, 0], [0, 16], [26, -26], [0, 48], [-28, 28], [32, -32], [2, 0], [0, -11], [0, 24], [28, 0], [6, 0], [3, 0], [-51, 0], [0, -20], [0, 11], [0, 33], [9, 0], [0, -46], [-13, 13], [8, 0], [30, -30], [23, -23], [0, -2], [0, -26], [42, 0], [-15, 15], [0, 24], [38, -38], [-49, 49], [14, 0], [-16, 16], [0, -3], [-38, 38], [0, 30], [41, 0], [-1, 1], [0, -16], [-34, 0], [-26, 0], [-8, 0], [0, -24], [0, 36], [0, -24], [0, -52], [0, 12], [-32, 0], [42, -42], [40, 0], [-42, 42], [0, 35], [-42, 0], [-22, 22], [0, 33], [20, -20], [-60, 0], [8, -8], [0, 15], [-32, 0], [0, 46], [20, 0], [0, -8]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4504149416739746, '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.b', '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: 574941
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '930.2.i.b', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '930.2.i.b', 'target_level': 930, 'twist_class_label': '930.2.i.b', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 574942
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '930.2.i.b', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '930.2.i.b', 'target_level': 930, 'twist_class_label': '930.2.i.b', '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: 1502525
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 2}
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id: 1502526
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 3}
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id: 1502527
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 5}
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id: 1502528
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 7}
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id: 1502529
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 11}
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id: 1502530
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 13}
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id: 1502531
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 17}
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id: 1502532
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 19}
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id: 1502533
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 23}
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id: 1502534
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 29}
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id: 1502535
{'charpoly_factorization': [[[31, -7, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 31}
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id: 1502536
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 37}
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id: 1502537
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 41}
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id: 1502538
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 43}
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id: 1502539
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 47}
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id: 1502540
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 53}
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id: 1502541
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 59}
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id: 1502542
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 61}
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id: 1502543
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 67}
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id: 1502544
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 71}
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id: 1502545
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 73}
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id: 1502546
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 79}
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id: 1502547
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 4504149416739746, 'p': 83}
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id: 1502548
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 89}
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id: 1502549
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4504149416739746, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '930.2.i.b', 'level': 930, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90334000
{'hecke_orbit_code': 4504149416739746, 'n': 1, 'trace_an': 2}
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id: 90334001
{'hecke_orbit_code': 4504149416739746, 'n': 2, 'trace_an': -2}
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id: 90334002
{'hecke_orbit_code': 4504149416739746, 'n': 3, 'trace_an': 1}
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id: 90334003
{'hecke_orbit_code': 4504149416739746, 'n': 4, 'trace_an': 2}
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id: 90334004
{'hecke_orbit_code': 4504149416739746, 'n': 5, 'trace_an': 1}
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id: 90334005
{'hecke_orbit_code': 4504149416739746, 'n': 6, 'trace_an': -1}
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id: 90334006
{'hecke_orbit_code': 4504149416739746, 'n': 7, 'trace_an': -3}
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id: 90334007
{'hecke_orbit_code': 4504149416739746, 'n': 8, 'trace_an': -2}
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id: 90334008
{'hecke_orbit_code': 4504149416739746, 'n': 9, 'trace_an': -1}
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id: 90334009
{'hecke_orbit_code': 4504149416739746, 'n': 10, 'trace_an': -1}
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id: 90334010
{'hecke_orbit_code': 4504149416739746, 'n': 11, 'trace_an': 1}
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id: 90334011
{'hecke_orbit_code': 4504149416739746, 'n': 12, 'trace_an': 1}
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id: 90334012
{'hecke_orbit_code': 4504149416739746, 'n': 13, 'trace_an': 0}
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id: 90334013
{'hecke_orbit_code': 4504149416739746, 'n': 14, 'trace_an': 3}
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id: 90334014
{'hecke_orbit_code': 4504149416739746, 'n': 15, 'trace_an': 2}
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id: 90334015
{'hecke_orbit_code': 4504149416739746, 'n': 16, 'trace_an': 2}
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id: 90334016
{'hecke_orbit_code': 4504149416739746, 'n': 17, 'trace_an': -2}
-
id: 90334017
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