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mf_newforms • Show schema
Hide schema
{'Nk2': 20736, 'analytic_conductor': 92.38108021227684, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [576, 2, [127, 325, 65], [2, 1, 2]], 'cm_discs': [-8], 'conrey_index': 289, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [7, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206259094080, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 8, 2, 1, 2, 0], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '576.6.d.a', 'level': 576, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '64.6.b.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+237iq^{11}-1914q^{17}-1441iq^{19}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.1.d2', 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '576.6.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1844963509979584396, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.843', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.574', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '282.001', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.759', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3828, 0, 0, 0, 0, 0, 0, 0, 6250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27852, 0, 0, 0, 0, 0, 0, 0, -33614, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100804, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14436, 0, 0, 0, 0, 0, 0, 0, 170900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 512604, 0, 0, 0, 0, 0, 0, 0, -127250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 845772, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 742586, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2048596, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2732136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1976700, 0, 0, 0, 0, 0, 0, 0, -3494348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -975300, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 237], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-1914, 0], [0, 0], [0, -1441], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [3125, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [13926, 0], [0, 0], [0, 11275], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-16807, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -24243], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -33593], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [50402, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 44649], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-7218, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [85450, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, 0], [0, 237], [0, 0], [-1914, 0], [0, -1441], [0, 0], [0, 0], [0, 0], [0, 0], [13926, 0], [0, 11275], [0, 0], [0, 0], [0, -24243], [0, 0], [0, -33593], [0, 0], [50402, 0], [0, 0], [0, 44649], [-7218, 0], [85450, 0], [0, 0], [0, 0], [0, -117843], [0, 0], [256302, 0], [0, 0], [0, -192951], [422886, 0], [0, -60709], [0, 0], [0, 0], [0, 0], [0, -129601], [0, 0], [0, 0], [0, -223191], [0, 0], [0, 0], [1024298, 0], [0, 0], [0, 0], [0, 379687], [0, 0], [0, -692175], [0, 0], [988350, 0], [0, 0], [-1747174, 0], [0, -813363], [-487650, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-802098, 0], [0, -551749], [0, 0], [0, -563057], [0, 0], [3433450, 0], [0, 0], [0, 1481987], [-3864014, 0], [0, -1622643], [0, 0], [-4663650, 0], [0, 0], [0, 0], [0, 0], [0, 1272259], [0, 0], [0, 0], [0, 0], [4398726, 0], [-1779382, 0], [0, 2736009], [0, 0], [0, 0], [3939802, 0], [0, 0], [0, 3899301], [-6699882, 0], [-1129414, 0], [0, 0], [0, 0], [0, 3015825], [0, 0], [0, 0], [0, -283899], [0, 5560807], [0, 0], [0, 0], [7588326, 0], [0, -6142301], [0, 0], [0, 4283543], [0, 0], [0, 2079825], [12099318, 0], [0, 5309051], [-11358686, 0], [0, -4855443], [-16246098, 0], [0, 0], [3455474, 0], [0, 0], [0, 0], [-1891650, 0], [0, -3647293], [0, 0], [20475798, 0], [0, -6993625], [0, 0], [0, 0], [0, 10879209], [0, 0], [19381450, 0], [0, 0], [0, -12178299], [0, -10256137], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 3476143], [0, 0], [0, 0], [0, 0], [16377174, 0], [-29261782, 0], [0, 0], [0, 12266375], [0, 0], [18768486, 0], [0, -9151901], [0, 0], [0, 0], [0, 3643893], [0, 0], [0, 0], [0, 0], [-17266986, 0], [0, -16168109], [0, 0], [0, 0], [-46054098, 0], [0, -3880801], [0, 0], [0, -18348725], [0, 0], [0, 0], [-39234186, 0], [10550914, 0], [0, 0], [0, -15488175], [31614198, 0], [0, 0], [0, 25377813], [27588486, 0], [0, 0], [0, 0], [0, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 206259094080, 'hecke_ring_character_values': [[127, [1, 0]], [325, [-1, 0]], [65, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '576.6.d.a', 'level': 576, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'Nk2': 20736, 'analytic_conductor': 92.38108021227684, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [576, 2, [127, 325, 65], [2, 1, 2]], 'conrey_index': 289, 'cusp_dim': 456, 'dim': 50, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 206259094080, 'hecke_orbit_dims': [2, 4, 4, 4, 4, 8, 8, 8, 8], 'label': '576.6.d', 'level': 576, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 504, 'mf_new_dim': 50, 'num_forms': 9, 'prim_orbit_index': 2, 'relative_dim': 50, 'sturm_bound': 576, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1212, 0, 0, 0, 0, 0, 0, 0, -40598, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42252, 0, 0, 0, 0, 0, 0, 0, 149314, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11520, 0, 0, 0, 0, 0, 0, 0, 120244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 124308, 0, 0, 0, 0, 0, 0, 0, -785116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -372924, 0, 0, 0, 0, 0, 0, 0, -1291682, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 775668, 0, 0, 0, 0, 0, 0, 0, 828432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76320, 0, 0, 0, 0, 0, 0, 0, -2409622, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1189152, 0, 0, 0, 0, 0, 0, 0, -105356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2627448, 0, 0, 0, 0, 0, 0, 0, -1573920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2186196, 0, 0, 0, 0, 0, 0, 0, -5302556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5157948, 0, 0, 0, 0, 0, 0, 0, -1968912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -297036, 0, 0, 0, 0, 0, 0, 0, 15735398, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3944736, 0, 0, 0, 0, 0, 0, 0, -784684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2895840, 0, 0, 0, 0, 0, 0, 0, 10382420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 302244, 0, 0, 0, 0, 0, 0, 0, -16353234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -633600, 0, 0, 0, 0, 0, 0, 0, -15971328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10535100, 0, 0, 0, 0, 0, 0, 0, 16241956, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11263668, 0, 0, 0, 0, 0, 0, 0, -2648908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19785444, 0, 0, 0, 0, 0, 0, 0, 68479684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7459032, 0, 0, 0, 0, 0, 0, 0, -14850240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1739232, 0, 0, 0, 0, 0, 0, 0, 22651632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28929516, 0, 0, 0, 0, 0, 0, 0, 55803266, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8130240, 0, 0, 0, 0, 0, 0, 0, -63844320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55856748, 0, 0, 0, 0, 0, 0, 0, -18453820, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20775492, 0, 0, 0, 0, 0, 0, 0, -41473532, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46856148, 0, 0, 0, 0, 0, 0, 0, -46779694, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33924804, 0, 0, 0, 0, 0, 0, 0, -4729320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69372864, 0, 0, 0, 0, 0, 0, 0, 6646868, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5974272, 0, 0, 0, 0, 0, 0, 0, 140130072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 105945120, 0, 0, 0, 0, 0, 0, 0, -141657504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29942088, 0, 0, 0, 0, 0, 0, 0, -1450800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40880268, 0, 0, 0, 0, 0, 0, 0, -39152972, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -63245088, 0, 0, 0, 0, 0, 0, 0, 10011840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52861620, 0, 0, 0, 0, 0, 0, 0, -2837896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3687684, 0, 0, 0, 0, 0, 0, 0, -321451814, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132417900, 0, 0, 0, 0, 0, 0, 0, 22418352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108092124, 0, 0, 0, 0, 0, 0, 0, -164774880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 212620608, 0, 0, 0, 0, 0, 0, 0, 193295160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 67695012, 0, 0, 0, 0, 0, 0, 0, 120612740, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -172105356, 0, 0, 0, 0, 0, 0, 0, 123720274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -133024380, 0, 0, 0, 0, 0, 0, 0, 327429936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 395835
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '64.6.b.a', 'target_level': 64, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 395836
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '64.6.b.a', 'target_level': 64, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 395837
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '64.6.b.a', 'target_level': 64, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 6}
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id: 395838
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '64.6.b.a', 'target_level': 64, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 395839
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '256.6.a.a', 'target_level': 256, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 6}
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id: 395840
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '256.6.a.a', 'target_level': 256, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 6}
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id: 395841
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.6.a.d', 'target_level': 256, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 6}
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id: 395842
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.6.a.d', 'target_level': 256, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 6}
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id: 395843
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.d.a', 'target_level': 576, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 395844
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.d.a', 'target_level': 576, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 395845
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.d.a', 'target_level': 576, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 395846
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -8, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '576.6.d.a', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.6.d.a', 'target_level': 576, 'twist_class_label': '64.6.b.a', 'twist_class_level': 64, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1072125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 2}
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id: 1072126
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 3}
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id: 1072127
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 5}
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id: 1072128
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 7}
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id: 1072129
{'charpoly_factorization': [[[224676, 0, 1], 1]], 'hecke_orbit_code': 206259094080, 'p': 11}
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id: 1072130
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 13}
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id: 1072131
{'charpoly_factorization': [[[1914, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 17}
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id: 1072132
{'charpoly_factorization': [[[8305924, 0, 1], 1]], 'hecke_orbit_code': 206259094080, 'p': 19}
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id: 1072133
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 23}
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id: 1072134
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 29}
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id: 1072135
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 31}
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id: 1072136
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 37}
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id: 1072137
{'charpoly_factorization': [[[-13926, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 41}
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id: 1072138
{'charpoly_factorization': [[[508502500, 0, 1], 1]], 'hecke_orbit_code': 206259094080, 'p': 43}
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id: 1072139
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 47}
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id: 1072140
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 53}
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id: 1072141
{'charpoly_factorization': [[[2350892196, 0, 1], 1]], 'hecke_orbit_code': 206259094080, 'p': 59}
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id: 1072142
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 61}
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id: 1072143
{'charpoly_factorization': [[[4513958596, 0, 1], 1]], 'hecke_orbit_code': 206259094080, 'p': 67}
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id: 1072144
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 71}
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id: 1072145
{'charpoly_factorization': [[[-50402, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 73}
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id: 1072146
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 79}
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id: 1072147
{'charpoly_factorization': [[[7974132804, 0, 1], 1]], 'hecke_orbit_code': 206259094080, 'p': 83}
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id: 1072148
{'charpoly_factorization': [[[7218, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 89}
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id: 1072149
{'charpoly_factorization': [[[-85450, 1], 2]], 'hecke_orbit_code': 206259094080, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '576.6.d.a', 'level': 576, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 27288000
{'hecke_orbit_code': 206259094080, 'n': 1, 'trace_an': 2}
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id: 27288001
{'hecke_orbit_code': 206259094080, 'n': 2, 'trace_an': 0}
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id: 27288002
{'hecke_orbit_code': 206259094080, 'n': 3, 'trace_an': 0}
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id: 27288003
{'hecke_orbit_code': 206259094080, 'n': 4, 'trace_an': 0}
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id: 27288004
{'hecke_orbit_code': 206259094080, 'n': 5, 'trace_an': 0}
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id: 27288005
{'hecke_orbit_code': 206259094080, 'n': 6, 'trace_an': 0}
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id: 27288006
{'hecke_orbit_code': 206259094080, 'n': 7, 'trace_an': 0}
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id: 27288007
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