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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, [9, -3, 1]], [13, [4, -2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029346808333218, '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.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, 'minimal_twist': '930.2.i.i', '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': 1111163704572958184, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.214', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.345', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '137.393', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [2, 2, 1, 2, 1, 1, 3, 2, -1, 1, 3, 1, 2, 3, 2, 2, 4, -1, 0, 1, -3, 3, -8, 1, -1, 2, -2, 3, -10, 2, 11, 2, 6, 4, 6, -1, 6, 0, 4, 1, 2, -3, 8, 3, 1, -8, -16, 1, -2, -1, -4, 2, 3, -2, -3, 3, 0, -10, -3, 2, -16, 11, -6, 2, -2, 6, 10, 4, -4, 6, 8, -1, -14, 6, 1, 0, 18, 4, -8, 1, -1, 2, 9, -3, 8, 8, -5, 3, -16, 1, 12, -8, 7, -16, 0, 1, -14, -2, 3, -1, 22, -4, -1, 2, 3, 3, -15, -2, -32, -3, -6, 3, -6, 0, -4, -10, 2, -3, -12, 2, 2, -16, 4, 11, -2, -6, 1, 2, -8, -2, 0, 6, 0, 10, -1, 4, 10, -4, -28, 6, -8, 8, -6, -1, -5, -14, -4, 6, -1, 1, -18, 0, -8, 18, 4, 4, 8, -8, 6, 1, -12, -1, -8, 2, 3, 9, -2, -3, 9, 8, 0, 8, 13, -5, 3, 3, 3, -16, -19, 1, 16, 12, -8, -8, 12, 7, 24, -16, -3, 0, -10, 1, 9, -14, 2, -2, -6, 3, -7, -1, 20, 22, -15, -4, -2, -1, 4, 2, 0, 3, -20, 3, 16, -15, 16, -2, 21, -32, -28, -3, 16, -6, -9, 3, 2, -6, 21, 0, 14, -4, 9, -10, -36, 2, -8, -3, 8, 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48, 7, 18, -42, -22, -6, -2], 'weight': 2, '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], [3, -3], [1, 0], [0, -1], [0, 1], [0, 3], [1, -1], [0, 2], [3, -3], [1, 0], [1, 0], [4, -4], [0, -1], [0, 0], [0, 1], [0, -3], [0, 3], [-4, 0], [1, -1], [-1, 1], [0, 2], [-1, 0], [3, -3], [-5, 0], [1, 0], [5, 1], [1, 0], [3, 0], [4, -4], [3, 0], [0, -1], [6, -6], [0, 0], [2, 0], [0, 1], [0, 2], [0, -3], [8, -8], [0, 3], [1, -1], [-4, 0], [-8, 0], [1, -1], [0, -2], [-1, 1], [0, -4], [0, 2], [0, 3], [-1, 0], [-3, 3], [3, -3], [0, 0], [-5, 0], [-3, 3], [1, 0], [-8, 0], [5, 1], [-3, 0], [1, 0], [-2, 2], [3, 0], [0, 10], [4, -4], [-4, 4], [3, 0], [0, 8], [0, -1], [0, -14], [6, -6], [0, 1], [0, 0], [9, 0], [2, 0], [-8, 8], [0, 1], [-1, 1], [0, 2], [0, 9], [0, -3], [4, 0], [8, -8], [-5, 5], [0, 3], [-8, 0], [1, -1], [6, 0], [-4, 0], [6, -5], [-8, 0], [0, 0], [1, -1], [-7, 0], [0, -2], [3, -3], [-1, 1]], 'ap': [[1, 0], [1, -1], [0, 1], [3, -3], [0, 3], [0, 2], [4, -4], [0, 0], [-4, 0], [-5, 0], [5, 1], [6, -6], [0, 2], [8, -8], [-8, 0], [0, 3], [-3, 3], [-8, 0], [0, 10], [0, 8], [0, -14], [-8, 8], [0, 9], [-8, 0], [-7, 0], [11, 0], [0, -1], [-15, 15], [-16, 0], [0, -6], [1, -1], [0, 0], [0, 10], [-14, 0], [-1, 1], [-9, 0], [4, 0], [-4, 0], [-2, 2], [0, 13], [-19, 19], [0, 16], [0, -10], [9, -9], [0, -6], [0, -7], [-20, 20], [-9, 9], [0, 21], [14, -14], [-18, 0], [0, -6], [-3, 3], [12, -12], [0, 20], [-30, 0], [0, -14], [-29, 0], [12, 0], [16, 0], [18, 0], [-9, 9], [26, -26], [18, 0], [21, -21], [-1, 1], [0, -24], [-5, 0], [23, -23], [0, 0], [18, -18], [0, -24], [0, 28], [24, 0], [36, -36], [0, 6], [2, -2], [28, -28], [10, 0], [25, -25], [21, 0], [0, -20], [2, -2], [14, 0], [0, -15], [0, -24], [-40, 0], [10, 0], [21, 0], [-5, 0], [27, 0], [-24, 24], [0, 31], [0, -41], [-22, 22], [-2, 2], [0, -15], [18, -18], [20, 0], [20, -20], [0, 8], [-37, 0], [0, 7], [0, -10], [0, -4], [-10, 10], [-7, 0], [34, 0], [0, 24], [-30, 30], [0, -8], [16, -16], [36, -36], [4, 0], [0, 1], [0, -32], [28, 0], [-24, 0], [31, 0], [23, 0], [0, -28], [0, 1], [0, -15], [5, 0], [0, 34], [-27, 27], [38, 0], [-14, 14], [-51, 51], [0, 6], [0, 38], [-40, 0], [-43, 43], [0, -20], [42, -42], [-9, 9], [-10, 0], [32, -32], [0, -47], [16, -16], [0, 30], [-53, 0], [9, -9], [0, -20], [4, 0], [0, 0], [-56, 0], [0, 0], [0, 34], [0, 32], [0, -52], [0, 58], [2, 0], [28, -28], [-58, 0], [22, -22], [0, 11], [-8, 0], [-2, 2], [0, 35], [-36, 36], [44, 0], [-48, 48], [0, -15], [-16, 0], [0, -28], [-16, 0], [0, -42]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 36029346808333218, '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.i', '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: 574955
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '930.2.i.i', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '930.2.i.i', 'target_level': 930, 'twist_class_label': '930.2.i.i', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 574956
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '930.2.i.i', 'source_level': 930, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '930.2.i.i', 'target_level': 930, 'twist_class_label': '930.2.i.i', '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: 1502750
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 2}
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id: 1502751
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 3}
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id: 1502752
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 5}
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id: 1502753
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 7}
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id: 1502754
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 11}
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id: 1502755
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 13}
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id: 1502756
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 17}
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id: 1502757
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 19}
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id: 1502758
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 23}
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id: 1502759
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 29}
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id: 1502760
{'charpoly_factorization': [[[31, -11, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 31}
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id: 1502761
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 37}
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id: 1502762
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 41}
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id: 1502763
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 43}
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id: 1502764
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 47}
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id: 1502765
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 53}
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id: 1502766
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 59}
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id: 1502767
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 61}
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id: 1502768
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 67}
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id: 1502769
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 71}
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id: 1502770
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 73}
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id: 1502771
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 79}
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id: 1502772
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 36029346808333218, 'p': 83}
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id: 1502773
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 89}
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id: 1502774
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 36029346808333218, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 9, 'label': '930.2.i.i', '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: 202131000
{'hecke_orbit_code': 36029346808333218, 'n': 1, 'trace_an': 2}
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id: 202131001
{'hecke_orbit_code': 36029346808333218, 'n': 2, 'trace_an': 2}
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id: 202131002
{'hecke_orbit_code': 36029346808333218, 'n': 3, 'trace_an': 1}
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id: 202131003
{'hecke_orbit_code': 36029346808333218, 'n': 4, 'trace_an': 2}
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id: 202131004
{'hecke_orbit_code': 36029346808333218, 'n': 5, 'trace_an': 1}
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id: 202131005
{'hecke_orbit_code': 36029346808333218, 'n': 6, 'trace_an': 1}
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id: 202131006
{'hecke_orbit_code': 36029346808333218, 'n': 7, 'trace_an': 3}
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id: 202131984
{'hecke_orbit_code': 36029346808333218, 'n': 985, 'trace_an': 6}
-
id: 202131985
{'hecke_orbit_code': 36029346808333218, 'n': 986, 'trace_an': -20}
-
id: 202131986
{'hecke_orbit_code': 36029346808333218, 'n': 987, 'trace_an': 24}
-
id: 202131987
{'hecke_orbit_code': 36029346808333218, 'n': 988, 'trace_an': 0}
-
id: 202131988
{'hecke_orbit_code': 36029346808333218, 'n': 989, 'trace_an': -32}
-
id: 202131989
{'hecke_orbit_code': 36029346808333218, 'n': 990, 'trace_an': 6}
-
id: 202131990
{'hecke_orbit_code': 36029346808333218, 'n': 991, 'trace_an': -32}
-
id: 202131991
{'hecke_orbit_code': 36029346808333218, 'n': 992, 'trace_an': 11}
-
id: 202131992
{'hecke_orbit_code': 36029346808333218, 'n': 993, 'trace_an': -48}
-
id: 202131993
{'hecke_orbit_code': 36029346808333218, 'n': 994, 'trace_an': 48}
-
id: 202131994
{'hecke_orbit_code': 36029346808333218, 'n': 995, 'trace_an': 7}
-
id: 202131995
{'hecke_orbit_code': 36029346808333218, 'n': 996, 'trace_an': 18}
-
id: 202131996
{'hecke_orbit_code': 36029346808333218, 'n': 997, 'trace_an': -42}
-
id: 202131997
{'hecke_orbit_code': 36029346808333218, 'n': 998, 'trace_an': -22}
-
id: 202131998
{'hecke_orbit_code': 36029346808333218, 'n': 999, 'trace_an': -6}
-
id: 202131999
{'hecke_orbit_code': 36029346808333218, 'n': 1000, 'trace_an': -2}