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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': 6, 'field_disc': -3636603, 'field_disc_factorization': [[-1, 1], [3, 3], [367, 2]], 'field_poly': [64, -16, 12, 4, 3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [144, 60, 73, 4, 21, 4, 1]], [11, [16641, -3741, 1486, -113, 54, -5, 1]], [13, [1024, 1280, 1664, -16, 44, 2, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547344945185698, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 12, 'hecke_ring_index_factorization': [[2, 2], [3, 1]], '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.n', '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.n', 'nf_label': '6.0.3636603.4', 'prim_orbit_index': 3, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}+(-1-\\beta _{1})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '930.2.i', 'trace_display': [-6, 3, -3, -4], 'trace_hash': 2079603321526398016, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '150.976', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6994.459', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [6, -6, 3, 6, -3, -3, -4, -6, -3, 3, 5, 3, -2, 4, -6, 6, -11, 3, -2, -3, 4, -5, 14, -3, -3, 2, -6, -4, 24, 6, 8, -6, 10, 11, 8, -3, 17, 2, -4, 3, -12, -4, -3, 5, -3, -14, 6, 3, -5, 3, 11, -2, 2, 6, 5, 4, 2, -24, -12, -6, -16, -8, 8, 6, -2, -10, -17, -11, 7, -8, 10, 3, 6, -17, 3, -2, 4, 4, -3, -3, -3, 12, 0, 4, 22, 3, 12, -5, -56, 3, 88, 14, 1, -6, 4, -3, 40, 5, 5, -3, -6, -11, -18, 2, 4, -2, -4, -6, -4, -5, -17, -4, -13, -2, -7, 24, -2, 12, 6, 6, -50, 16, -24, 8, 6, -8, 6, -6, 3, 2, 17, 10, 30, 17, 3, 11, -1, -7, 40, 8, 3, -10, -14, -3, -12, -6, -10, 17, 44, -3, -38, 2, 22, -4, -7, -4, 16, 3, 4, 3, -30, 3, -6, -12, -5, 0, 6, -4, -45, -22, 4, -3, 0, -12, -4, 5, 12, 56, -5, -3, 0, -88, -8, -14, -34, -1, -54, 6, 4, -4, -4, 3, -48, -40, 2, -5, -16, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 1, 0, 0, -1, 0], [-1, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0], [2, 2, 0, -1, 0, 1], [0, -1, 0, 0, 0, 0], [0, 0, -2, 0, 0, 0], [0, -1, 0, 0, 1, 0], [-1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 4, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0], [0, 1, 0, 1, 2, 0], [-1, -1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0], [-2, -2, 0, 1, 0, -1], [2, 0, 1, 0, 1, 0], [0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, 0], [4, 0, 1, 0, 1, 1], [1, 0, 0, 0, 0, 0], [1, -1, 1, 0, 0, 1], [-1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 1], [0, -4, 0, 0, -1, 0], [1, 0, 1, 0, 1, 0], [-1, -1, 0, 0, 0, 0], [0, -6, 0, 0, -1, 0], [0, -1, 0, -1, -2, 0], [0, 0, -2, 0, -2, 0], [1, 1, 0, 0, 0, 0], [-3, -3, -2, -1, 0, 1], [-1, -1, -1, 0, 0, 0], [0, 1, 0, 1, 1, 0], [2, 2, 0, -1, 0, 1], [0, 1, 0, 0, 0, 0], [-2, 0, -1, 0, -1, 0], [0, 0, 3, 0, 3, 0], [0, -1, 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[-3, -3, 11, 3, 0, -3], [21, 21, 4, 1, 0, -1], [-21, 0, 1, 0, 1, -1], [0, -4, 0, 3, 4, 0], [-5, -5, -7, 3, 0, -3], [0, 5, 0, -3, 2, 0], [0, 12, 0, -1, -1, 0], [-14, 0, -4, 0, -4, 0], [0, -20, 0, 2, 7, 0], [-2, -2, -5, 1, 0, -1], [0, -9, 0, -5, -10, 0], [-24, -24, 2, 2, 0, -2], [-9, 0, 4, 0, 4, -2], [0, -13, 0, 0, -9, 0], [12, 12, 4, 0, 0, 0], [1, 0, -8, 0, -8, 3], [13, 0, -8, 0, -8, 3], [0, 0, -10, 0, -10, -4], [-1, -1, -9, -5, 0, 5], [7, 7, 0, 1, 0, -1], [-7, -7, 13, -3, 0, 3], [20, 20, -7, 2, 0, -2], [-35, -35, 8, -1, 0, 1], [-30, 0, 11, 0, 11, 4], [0, -13, 0, -3, 11, 0], [36, 0, 4, 0, 4, 0], [0, 19, 0, -5, -6, 0], [2, 2, -4, 5, 0, -5], [-45, 0, -2, 0, -2, 1], [0, -18, 0, -4, -8, 0], [-19, -19, -2, 0, 0, 0], [0, 32, 0, 0, 6, 0], [35, 0, -2, 0, -2, -1], [0, 12, 0, 0, 16, 0], [24, 24, -2, -1, 0, 1], [-28, 0, -2, 0, -2, 0], [12, 12, -2, 2, 0, -2], [14, 0, -4, 0, -4, 2], [-15, -15, 14, -5, 0, 5]], 'char_orbit_index': 9, 'field_poly': [64, -16, 12, 4, 3, -1, 1], 'hecke_orbit_code': 58547344945185698, 'hecke_ring_character_values': [[311, [1, 0, 0, 0, 0, 0]], [187, [1, 0, 0, 0, 0, 0]], [871, [-1, -1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 64, 64, 64, 64, 8], 'hecke_ring_inverse_denominators': [1, 6, 2, 6, 2, 6], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [3, 3, -2, 1, 2, 1], [-2, -1, -2, -1, 0, 0], [-3, 36, -4, 2, -2, -7], [-19, 3, 10, -3, 2, 3], [36, -75, 58, 1, 20, -14]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [32, 8, -2, 7, 3, -1], [32, -24, -22, 1, 5, 1], [-224, 40, -82, -9, -13, -1], [-32, 120, 38, 7, 3, 7], [8, 4, -4, -3, 1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '930.2.i.n', '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: 574965
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '930.2.i.n', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '930.2.i.n', 'target_level': 930, 'twist_class_label': '930.2.i.n', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 574966
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '930.2.i.n', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '930.2.i.n', 'target_level': 930, 'twist_class_label': '930.2.i.n', 'twist_class_level': 930, 'twisting_char_label': '31.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1502575
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 58547344945185698, 'p': 2}
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id: 1502576
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 58547344945185698, 'p': 3}
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id: 1502577
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 58547344945185698, 'p': 5}
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id: 1502578
{'charpoly_factorization': [[[144, 60, 73, 4, 21, 4, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 7}
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id: 1502579
{'charpoly_factorization': [[[16641, -3741, 1486, -113, 54, -5, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 11}
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id: 1502580
{'charpoly_factorization': [[[1024, 1280, 1664, -16, 44, 2, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 13}
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id: 1502581
{'charpoly_factorization': [[[144, 360, 768, 306, 91, 11, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 17}
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id: 1502582
{'charpoly_factorization': [[[20736, 8640, 3888, 168, 64, 2, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 19}
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id: 1502583
{'charpoly_factorization': [[[12, 6, -7, 1], 2]], 'hecke_orbit_code': 58547344945185698, 'p': 23}
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id: 1502584
{'charpoly_factorization': [[[146, 9, -12, 1], 2]], 'hecke_orbit_code': 58547344945185698, 'p': 29}
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id: 1502585
{'charpoly_factorization': [[[29791, -7688, -868, 508, -28, -8, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 31}
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id: 1502586
{'charpoly_factorization': [[[15376, -10664, 5288, -1214, 203, -17, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 37}
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id: 1502587
{'charpoly_factorization': [[[419904, 31104, 10080, 720, 192, 12, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 41}
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id: 1502588
{'charpoly_factorization': [[[256, -576, 1248, -140, 45, 3, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 43}
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id: 1502589
{'charpoly_factorization': [[[108, -90, -3, 1], 2]], 'hecke_orbit_code': 58547344945185698, 'p': 47}
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id: 1502590
{'charpoly_factorization': [[[8464, -5060, 3209, -74, 59, -2, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 53}
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id: 1502591
{'charpoly_factorization': [[[104976, 14580, 5913, 108, 189, 12, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 59}
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id: 1502592
{'charpoly_factorization': [[[-248, -40, 8, 1], 2]], 'hecke_orbit_code': 58547344945185698, 'p': 61}
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id: 1502593
{'charpoly_factorization': [[[15376, 10664, 5288, 1214, 203, 17, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 67}
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id: 1502594
{'charpoly_factorization': [[[9216, -768, 1024, -112, 108, -10, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 71}
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id: 1502595
{'charpoly_factorization': [[[4, -2, 1], 3]], 'hecke_orbit_code': 58547344945185698, 'p': 73}
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id: 1502596
{'charpoly_factorization': [[[256, -576, 1248, -140, 45, 3, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 79}
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id: 1502597
{'charpoly_factorization': [[[44944, -37524, 31329, -424, 177, 0, 1], 1]], 'hecke_orbit_code': 58547344945185698, 'p': 83}
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id: 1502598
{'charpoly_factorization': [[[432, 220, 28, 1], 2]], 'hecke_orbit_code': 58547344945185698, 'p': 89}
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id: 1502599
{'charpoly_factorization': [[[2766, -119, -20, 1], 2]], 'hecke_orbit_code': 58547344945185698, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 14, 'label': '930.2.i.n', 'level': 930, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 229852000
{'hecke_orbit_code': 58547344945185698, 'n': 1, 'trace_an': 6}
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id: 229852001
{'hecke_orbit_code': 58547344945185698, 'n': 2, 'trace_an': -6}
-
id: 229852002
{'hecke_orbit_code': 58547344945185698, 'n': 3, 'trace_an': 3}
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id: 229852003
{'hecke_orbit_code': 58547344945185698, 'n': 4, 'trace_an': 6}
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id: 229852004
{'hecke_orbit_code': 58547344945185698, 'n': 5, 'trace_an': -3}
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id: 229852005
{'hecke_orbit_code': 58547344945185698, 'n': 6, 'trace_an': -3}
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id: 229852006
{'hecke_orbit_code': 58547344945185698, 'n': 7, 'trace_an': -4}
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id: 229852007
{'hecke_orbit_code': 58547344945185698, 'n': 8, 'trace_an': -6}
-
id: 229852008
{'hecke_orbit_code': 58547344945185698, 'n': 9, 'trace_an': -3}
-
id: 229852009
{'hecke_orbit_code': 58547344945185698, 'n': 10, 'trace_an': 3}
-
id: 229852010
{'hecke_orbit_code': 58547344945185698, 'n': 11, 'trace_an': 5}
-
id: 229852011
{'hecke_orbit_code': 58547344945185698, 'n': 12, 'trace_an': 3}
-
id: 229852012
{'hecke_orbit_code': 58547344945185698, 'n': 13, 'trace_an': -2}
-
id: 229852013
{'hecke_orbit_code': 58547344945185698, 'n': 14, 'trace_an': 4}
-
id: 229852014
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id: 229852993
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id: 229852994
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{'hecke_orbit_code': 58547344945185698, 'n': 996, 'trace_an': 0}
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{'hecke_orbit_code': 58547344945185698, 'n': 999, 'trace_an': -17}
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id: 229852999
{'hecke_orbit_code': 58547344945185698, 'n': 1000, 'trace_an': -6}