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mf_newforms • Show schema
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{'Nk2': 5352, 'analytic_conductor': 10.683983790447316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 223, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1338, 3, [893, 895], [3, 2]], 'cm_discs': [], 'conrey_index': 931, 'dim': 12, 'field_disc': 7621718935379080089600, 'field_disc_factorization': [[2, 12], [3, 6], [5, 2], [7, 2], [227, 2], [6359, 2]], 'field_poly': [16, 112, 568, 1336, 2360, 2016, 1386, 22, 237, 1, 24, -3, 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': [[5, [8281, 12103, 16324, 10731, 7974, 3543, 2312, 763, 354, 51, 24, 3, 1]], [7, [-9, 21, 43, -18, -27, 1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685690, 'hecke_ring_generator_nbound': 11, '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, 223, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1338.2.e.g', 'level': 1338, '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': True, 'level_primes': [2, 3, 223], 'level_radical': 1338, 'minimal_twist': '1338.2.e.g', 'prim_orbit_index': 3, 'qexp_display': 'q-q^{2}+\\beta _{3}q^{3}+q^{4}+(-1-\\beta _{1}-\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1338.2.e', 'trace_display': [-12, 6, -3, -2], 'trace_hash': 1903617863037649064, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.859', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '587.436', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53400.041', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [12, -12, 6, 12, -3, -6, -2, -12, -6, 3, 3, 6, -36, 2, -6, 12, 0, 6, 4, -3, -1, -3, 4, -6, -9, 36, -12, -2, 5, 6, 16, -12, 6, 0, 19, -6, -1, -4, -18, 3, -8, 1, -26, 3, -3, -4, 22, 6, 26, 9, 0, -36, 4, 12, 4, 2, -4, -5, -2, -6, -20, -16, 1, 12, 9, -6, 3, 0, -4, -19, -20, 6, -19, 1, 9, 4, -2, 18, -7, -3, -6, 8, -1, -1, 3, 26, 10, -3, 17, 3, 6, 4, -16, -22, -8, -6, -8, -26, 3, -9, 16, 0, -16, 36, 38, -4, 36, -12, 4, -4, -2, -2, 22, 4, -10, 5, 18, 2, 26, 6, 1, 20, -4, 16, -24, -1, -28, -12, 26, -9, -16, 6, 20, -3, 3, 0, -16, 4, -24, 19, 44, 20, -9, -6, -38, 19, 13, -1, -20, -9, 3, -4, 0, 2, -14, -18, 0, 7, 8, 3, -39, 6, -68, -8, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 5352, 'analytic_conductor': 10.683983790447316, 'char_conductor': 223, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1338, 3, [893, 895], [3, 2]], 'conrey_index': 931, 'cusp_dim': 440, 'dim': 76, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274911462714, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 12, 14, 14, 18], 'label': '1338.2.e', 'level': 1338, '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': True, 'level_primes': [2, 3, 223], 'level_radical': 1338, 'mf_dim': 456, 'mf_new_dim': 76, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 38, 'sturm_bound': 448, 'trace_bound': 3, 'trace_display': [0, 0, 0, 4], 'traces': [76, 0, 0, 76, 0, 2, 4, 0, -38, 2, -4, 0, -24, 16, -12, 76, 16, 0, -4, 0, 0, 18, 8, 2, -24, 16, 0, 4, -16, 8, 28, 0, 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-2, 132, -8, 38, 4, 24, 56, 408, -12, -108, -48, -6, -424, 4, -32, -40, 16, 196, -24, -204, -10, -96, -48, 4, 160, -212, -12, -42, 48, -4, 132, 340, -60, -204, 8, -56, -22, 52, 0, -144, 320, 32, -20, 252, 36, -96, -164, 32, -60, 40, -4, 156, 144, -80, -52, 0, 64, 14, -12, 208, 12, -232, -120, 56, -80, 36, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45779529
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1075, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021872675685690, 'source_is_minimal': True, 'source_label': '1338.2.e.g.1075.4', 'source_level': 1338, 'target_conrey_index': 1075, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021872675685690, 'target_is_minimal': True, 'target_label': '1338.2.e.g.1075.4', 'target_level': 1338, 'twist_class_label': '1338.2.e.g.931.4', 'twist_class_level': 1338, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45779530
{'conductor': 223, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1075, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021872675685690, 'source_is_minimal': True, 'source_label': '1338.2.e.g.1075.4', 'source_level': 1338, 'target_conrey_index': 931, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021872675685690, 'target_is_minimal': True, 'target_label': '1338.2.e.g.931.4', 'target_level': 1338, 'twist_class_label': '1338.2.e.g.931.4', 'twist_class_level': 1338, 'twisting_char_label': '223.39', 'twisting_conrey_index': 39, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1875100
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 27021872675685690, 'p': 2}
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id: 1875101
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 27021872675685690, 'p': 3}
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id: 1875102
{'charpoly_factorization': [[[8281, 12103, 16324, 10731, 7974, 3543, 2312, 763, 354, 51, 24, 3, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 5}
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id: 1875103
{'charpoly_factorization': [[[-9, 21, 43, -18, -27, 1, 1], 2]], 'hecke_orbit_code': 27021872675685690, 'p': 7}
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id: 1875104
{'charpoly_factorization': [[[59049, -28431, 74925, 44550, 53073, 15093, 7882, 761, 625, 22, 37, -3, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 11}
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id: 1875105
{'charpoly_factorization': [[[3, 1], 12]], 'hecke_orbit_code': 27021872675685690, 'p': 13}
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id: 1875106
{'charpoly_factorization': [[[967, -1524, 506, 82, -48, 0, 1], 2]], 'hecke_orbit_code': 27021872675685690, 'p': 17}
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id: 1875107
{'charpoly_factorization': [[[318096, -258312, 288160, -152914, 126997, -61004, 31295, -8290, 2132, -244, 51, -4, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 19}
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id: 1875108
{'charpoly_factorization': [[[6432842025, 588704700, 509359795, 14780460, 24327866, 396748, 678083, -8020, 12890, -180, 147, -4, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 23}
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id: 1875109
{'charpoly_factorization': [[[4454895025, 838650925, 527246055, -2656220, 27976391, -261161, 796242, -24359, 14927, -332, 159, -5, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 29}
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id: 1875110
{'charpoly_factorization': [[[685584, -1311552, 3342024, 1043712, 1503976, -217352, 127782, -20164, 7999, -1320, 215, -16, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 31}
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id: 1875111
{'charpoly_factorization': [[[372605809, 35961489, 70857542, -6580945, 9616056, -521843, 427564, -8579, 14200, -129, 134, 1, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 37}
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id: 1875112
{'charpoly_factorization': [[[51324, 30814, 3207, -904, -147, 4, 1], 2]], 'hecke_orbit_code': 27021872675685690, 'p': 41}
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id: 1875113
{'charpoly_factorization': [[[6072305625, 5862297750, 3844523800, 1419361560, 390553584, 64577182, 8971330, 896722, 91372, 7184, 564, 26, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 43}
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id: 1875114
{'charpoly_factorization': [[[3489424, -11174376, 28265624, -22030222, 13109289, -3361004, 830672, -116318, 26081, -3296, 384, -22, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 47}
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id: 1875115
{'charpoly_factorization': [[[731864809, 50318580, 138616388, 6831028, 21780982, 1083660, 716706, -3016, 15240, -44, 154, -4, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 53}
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id: 1875116
{'charpoly_factorization': [[[-148923, -7543, 10926, 233, -218, 1, 1], 2]], 'hecke_orbit_code': 27021872675685690, 'p': 59}
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id: 1875117
{'charpoly_factorization': [[[19079424, 32777472, 42140224, 22176448, 9108080, 2247968, 533736, 96960, 18608, 2536, 298, 20, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 61}
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id: 1875118
{'charpoly_factorization': [[[1136970961, -477022693, 516084639, 140177884, 79454489, 6818767, 1861772, 47767, 30969, 374, 209, -3, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 67}
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id: 1875119
{'charpoly_factorization': [[[202891536, -399658152, 1017961432, 524421954, 193674509, 39110740, 6346235, 661574, 65606, 4572, 417, 20, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 71}
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id: 1875120
{'charpoly_factorization': [[[936666025, 550430925, 389842470, 32238975, 25424866, 2854421, 1089574, 92259, 24334, 2461, 354, 19, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 73}
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id: 1875121
{'charpoly_factorization': [[[706443241, -198518551, 115482395, -8155728, 6421157, -44387, 294200, 13545, 7437, 378, 129, 7, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 79}
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id: 1875122
{'charpoly_factorization': [[[987719184, 358656336, 327853008, -63210240, 36156780, -2759628, 954268, -45340, 18225, -429, 158, 1, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 83}
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id: 1875123
{'charpoly_factorization': [[[12938409, 14564253, 14696617, 5155622, 2163987, 107413, 142478, -5665, 9163, -1446, 257, -17, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 89}
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id: 1875124
{'charpoly_factorization': [[[146603664, 185712504, 147798160, 74752966, 28174309, 7675388, 1612001, 244566, 28536, 2200, 161, 8, 1], 1]], 'hecke_orbit_code': 27021872675685690, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '1338.2.e.g', 'level': 1338, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47309695
{'hecke_orbit_code': 27021872675685690, 'n': 1, 'trace_an': 12}
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id: 47309696
{'hecke_orbit_code': 27021872675685690, 'n': 2, 'trace_an': -12}
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id: 47309697
{'hecke_orbit_code': 27021872675685690, 'n': 3, 'trace_an': 6}
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id: 47309698
{'hecke_orbit_code': 27021872675685690, 'n': 4, 'trace_an': 12}
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id: 47309699
{'hecke_orbit_code': 27021872675685690, 'n': 5, 'trace_an': -3}
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id: 47309700
{'hecke_orbit_code': 27021872675685690, 'n': 6, 'trace_an': -6}
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id: 47309701
{'hecke_orbit_code': 27021872675685690, 'n': 7, 'trace_an': -2}
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id: 47309702
{'hecke_orbit_code': 27021872675685690, 'n': 8, 'trace_an': -12}
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id: 47309703
{'hecke_orbit_code': 27021872675685690, 'n': 9, 'trace_an': -6}
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id: 47309704
{'hecke_orbit_code': 27021872675685690, 'n': 10, 'trace_an': 3}
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id: 47309705
{'hecke_orbit_code': 27021872675685690, 'n': 11, 'trace_an': 3}
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id: 47309706
{'hecke_orbit_code': 27021872675685690, 'n': 12, 'trace_an': 6}
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id: 47309707
{'hecke_orbit_code': 27021872675685690, 'n': 13, 'trace_an': -36}
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id: 47309708
{'hecke_orbit_code': 27021872675685690, 'n': 14, 'trace_an': 2}
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id: 47309709
{'hecke_orbit_code': 27021872675685690, 'n': 15, 'trace_an': -6}
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id: 47309710
{'hecke_orbit_code': 27021872675685690, 'n': 16, 'trace_an': 12}
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id: 47309711
{'hecke_orbit_code': 27021872675685690, 'n': 17, 'trace_an': 0}
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id: 47309712
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