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mf_newforms • Show schema
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{'Nk2': 14400, 'analytic_conductor': 53.10171900516655, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [900, 2, [451, 101, 577], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 649, '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': [[7, [49, 0, 1]], [11, [-54, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532602871874436, 'hecke_ring_generator_nbound': 13, '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, 5, 2, 1, 2, 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': False, 'label': '900.4.d.j', 'level': 900, '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, 5], 'level_radical': 30, 'minimal_twist': '300.4.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+7 i q^{7}+54 q^{11}-55 i q^{13}+18 i q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '900.4.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 664189654360931511, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.069', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '151.764', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, -542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 0, 0, 588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, 94, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2160, 0, 0, 0, 0, 0, 0, 0, 1136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 770, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1656, 0, 0, 0, 0, 0, 0, 0, -2554, 0, 0, 0, 0, 0, 0, 0, 0, 0, -252, 0, 3170, 0, 0, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, 0, 0, 0, 0, 0, 3512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5364, 0, 6790, 0, 0, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, -1656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3132, 0, 610, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3492, 0, 0, 0, 0, 0, 0, 0, 8066, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2700, 0, -8210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1980, 0, 0, 0, 0, 0, 0, 0, -10258, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5976, 0, -5294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8424, 0, 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0, -62172, 0, 0, 0, 0, 0, 0, 0, -8116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 612, 0, -42946, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11304, 0, 0, 0, 0, 0, 0, 0, -67120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 61344, 0, 37730, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1440, 0, 0, 0, 0, 0, 0, 0, -8288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29268, 0, -1296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37764, 0, 0, 0, 0, 0, 0, 0, 101306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70524, 0, 14700, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84780, 0, 0, 0, 0, 0, 0, 0, -115940, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36036, 0, 87300, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67716, 0, 0, 0, 0, 0, 0, 0, 155520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5868, 0, 8266, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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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, 7], [0, 0], [0, 0], [0, 0], [54, 0], [0, 0], [0, -55], [0, 0], [0, 0], [0, 0], [0, 18], [0, 0], [25, 0], [0, 0], [0, 0], [0, 0], [0, 18], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-54, 0], [0, 0], [-271, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -314], [0, 0], [0, 0], [0, 0], [360, 0], [0, 0], [0, -163], [0, 0], [0, 0], [0, 0], [0, 522], [0, 0], [294, 0], [0, 0], [0, 0], [0, 0], [0, 36], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [126, 0], [0, 0], [47, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 343], [0, 0], [0, 0], [0, 0], [1080, 0], [0, 0], [0, -1054], [0, 0], [0, 0], [0, 0], [0, 378], [0, 0], [568, 0], [0, 0], [0, 0], [0, 0], [0, -1422], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1440, 0], [0, 0], [385, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 439], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, 7], [54, 0], [0, -55], [0, 18], [25, 0], [0, 18], [-54, 0], [-271, 0], [0, -314], [360, 0], [0, -163], [0, 522], [0, 36], [126, 0], [47, 0], [0, 343], [1080, 0], [0, -1054], [568, 0], [0, -1422], [1440, 0], [0, 439], [-828, 0], [0, 548], [0, -1476], [-1277, 0], [0, -1836], [0, 592], [468, 0], [0, 2574], [1756, 0], [2682, 0], [3395, 0], [0, 1549], [0, -505], [0, -1476], [0, -2358], [1566, 0], [305, 0], [1746, 0], [0, -3877], [0, 2142], [4033, 0], [-4105, 0], [0, 1385], [0, -2520], [-5129, 0], [0, 3240], [-2988, 0], [-2647, 0], [4212, 0], [0, 5724], [0, 4608], [-6426, 0], [-3376, 0], [0, -5381], [3474, 0], [0, -2269], [0, 1674], [0, -539], [-1494, 0], [0, -3997], [0, -3672], [1052, 0], [0, 3871], [0, -7686], [46, 0], [0, 6714], [1296, 0], [0, -5903], [0, 8867], [-8837, 0], [0, 10044], [-2736, 0], [0, 12241], [-9036, 0], [-8549, 0], [1548, 0], [6110, 0], [-5958, 0], [0, 7163], [-17, 0], [0, 9432], [-15228, 0], [0, 250], [-16956, 0], [0, -4384], [0, -5166], [6966, 0], [0, -18431], [-1224, 0], [2449, 0], [0, 3312], [-9162, 0], [5418, 0], [0, -6829], [3053, 0], [0, -20456], [0, -10854], [0, 24930], [-24786, 0], [-14785, 0], [0, -15851], [0, 23148], [0, 21888], [10764, 0], [-25597, 0], [0, 24976], [0, -2134], [0, 13932], [10429, 0], [-6283, 0], [20916, 0], [0, -23452], [0, -11916], [0, -31842], [3672, 0], [5138, 0], [0, -5050], [0, 28458], [0, -24408], [16328, 0], [-6246, 0], [30679, 0], [15462, 0], [0, -26801], [0, -22858], [16900, 0], [0, -8028], [-12448, 0], [0, 30103], [17748, 0], [-13283, 0], [0, -26424], [0, 9709], [0, -7884], [-1476, 0], [21455, 0], [-31086, 0], [0, 23381], [0, 3636], [-4058, 0], [306, 0], [0, 42299], [0, -11484], [-33560, 0], [0, 14976], [0, 41893], [720, 0], [0, 17309], [0, -7002], [0, -1484], [18882, 0], [50653, 0], [35262, 0], [0, -20279], [-42390, 0], [0, -42426], [0, -48168], [0, 51400], [-33858, 0], [0, 47106], [0, 20844], [4133, 0], [0, -33122]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 40532602871874436, 'hecke_ring_character_values': [[451, [1, 0]], [101, [1, 0]], [577, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '900.4.d.j', 'level': 900, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 14400, 'analytic_conductor': 53.10171900516655, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [900, 2, [451, 101, 577], [2, 2, 1]], 'conrey_index': 649, 'cusp_dim': 504, 'dim': 22, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 206225539972, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '900.4.d', 'level': 900, '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, 5], 'level_radical': 30, 'mf_dim': 576, 'mf_new_dim': 22, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 720, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, -508, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1446, 0, 0, 0, 0, 0, 0, 0, -1830, 0, 0, 0, 0, 0, 0, 0, 0, 0, -648, 0, -460, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2328, 0, 0, 0, 0, 0, 0, 0, 580, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2946, 0, -3968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6876, 0, 0, 0, 0, 0, 0, 0, 4324, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3132, 0, -2192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5280, 0, 0, 0, 0, 0, 0, 0, -2714, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7536, 0, 548, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12912, 0, 0, 0, 0, 0, 0, 0, -3258, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2262, 0, -7852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2388, 0, 0, 0, 0, 0, 0, 0, -5432, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8070, 0, 1958, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2448, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19056, 0, -7582, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4830, 0, 0, 0, 0, 0, 0, 0, 14696, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3792, 0, 6836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 1220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22512, 0, 5464, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21708, 0, 0, 0, 0, 0, 0, 0, -36000, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1992, 0, -1822, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18300, 0, 0, 0, 0, 0, 0, 0, 46012, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13644, 0, 18408, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51432, 0, 0, 0, 0, 0, 0, 0, -13838, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11196, 0, 36396, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26490, 0, 0, 0, 0, 0, 0, 0, -44042, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22746, 0, 33008, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35964, 0, 0, 0, 0, 0, 0, 0, 44608, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14814, 0, -6030, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3840, 0, 0, 0, 0, 0, 0, 0, 77228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66636, 0, 35536, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18240, 0, 0, 0, 0, 0, 0, 0, -71960, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61404, 0, -93284, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22146, 0, 0, 0, 0, 0, 0, 0, 71618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77850, 0, 17648, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29424, 0, 0, 0, 0, 0, 0, 0, 7088, 0, 0, 0, 0, 0, 0, 0, 0, 0, -49110, 0, 41624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46572, 0, 0, 0, 0, 0, 0, 0, -147052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35820, 0, -14602, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75648, 0, 0, 0, 0, 0, 0, 0, 51256, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42732, 0, 17060, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57132, 0, 0, 0, 0, 0, 0, 0, 10800, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55194, 0, 7016, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43140, 0, 0, 0, 0, 0, 0, 0, -189592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25728, 0, -113374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24120, 0, 0, 0, 0, 0, 0, 0, 177688, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3324, 0, -119168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 183960, 0, 0, 0, 0, 0, 0, 0, -13688, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70092, 0, 81248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188742, 0, 0, 0, 0, 0, 0, 0, -99626, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31506, 0, -78120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43452, 0, 0, 0, 0, 0, 0, 0, 202824, 0, 0, 0, 0, 0, 0, 0, 0, 0, -129756, 0, -11416, 0, 0, 0, 0, 0, 0, 0, 0, 0, -65364, 0, 0, 0, 0, 0, 0, 0, 31360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57072, 0, 61906, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26952, 0, 0, 0, 0, 0, 0, 0, -183578, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160980, 0, 33880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 137412, 0, 0, 0, 0, 0, 0, 0, 167096, 0, 0, 0, 0, 0, 0, 0, 0, 0, -65184, 0, -50436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44472, 0, 0, 0, 0, 0, 0, 0, 28660, 0, 0, 0, 0, 0, 0, 0, 0, 0, 143028, 0, -120126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18312, 0, 0, 0, 0, 0, 0, 0, -348664, 0, 0, 0, 0, 0, 0, 0, 0, 0, -142524, 0, -60570, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74034, 0, 0, 0, 0, 0, 0, 0, 211050, 0, 0, 0, 0, 0, 0, 0, 0, 0, 195960, 0, 45836, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 564674
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '300.4.a.c', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 564675
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '300.4.a.g', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 564676
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.4.d.a', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 564677
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '300.4.d.a', 'target_level': 300, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 564678
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '900.4.a.h', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 564679
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '900.4.a.k', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 564680
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '900.4.d.j', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 564681
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '900.4.d.j', 'target_level': 900, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 564682
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1200.4.a.m', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 564683
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1200.4.a.y', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 564684
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1200.4.f.s', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 564685
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '900.4.d.j', 'source_level': 900, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1200.4.f.s', 'target_level': 1200, 'twist_class_label': '300.4.a.c', 'twist_class_level': 300, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1470875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 2}
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id: 1470876
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 3}
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id: 1470877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 5}
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id: 1470878
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 7}
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id: 1470879
{'charpoly_factorization': [[[-54, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 11}
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id: 1470880
{'charpoly_factorization': [[[3025, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 13}
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id: 1470881
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 17}
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id: 1470882
{'charpoly_factorization': [[[-25, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 19}
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id: 1470883
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 23}
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id: 1470884
{'charpoly_factorization': [[[54, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 29}
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id: 1470885
{'charpoly_factorization': [[[271, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 31}
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id: 1470886
{'charpoly_factorization': [[[98596, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 37}
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id: 1470887
{'charpoly_factorization': [[[-360, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 41}
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id: 1470888
{'charpoly_factorization': [[[26569, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 43}
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id: 1470889
{'charpoly_factorization': [[[272484, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 47}
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id: 1470890
{'charpoly_factorization': [[[1296, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 53}
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id: 1470891
{'charpoly_factorization': [[[-126, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 59}
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id: 1470892
{'charpoly_factorization': [[[-47, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 61}
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id: 1470893
{'charpoly_factorization': [[[117649, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 67}
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id: 1470894
{'charpoly_factorization': [[[-1080, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 71}
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id: 1470895
{'charpoly_factorization': [[[1110916, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 73}
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id: 1470896
{'charpoly_factorization': [[[-568, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 79}
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id: 1470897
{'charpoly_factorization': [[[2022084, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 83}
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id: 1470898
{'charpoly_factorization': [[[-1440, 1], 2]], 'hecke_orbit_code': 40532602871874436, 'p': 89}
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id: 1470899
{'charpoly_factorization': [[[192721, 0, 1], 1]], 'hecke_orbit_code': 40532602871874436, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 10, 'label': '900.4.d.j', 'level': 900, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 53856445
{'hecke_orbit_code': 40532602871874436, 'n': 1, 'trace_an': 2}
-
id: 53856446
{'hecke_orbit_code': 40532602871874436, 'n': 2, 'trace_an': 0}
-
id: 53856447
{'hecke_orbit_code': 40532602871874436, 'n': 3, 'trace_an': 0}
-
id: 53856448
{'hecke_orbit_code': 40532602871874436, 'n': 4, 'trace_an': 0}
-
id: 53856449
{'hecke_orbit_code': 40532602871874436, 'n': 5, 'trace_an': 0}
-
id: 53856450
{'hecke_orbit_code': 40532602871874436, 'n': 6, 'trace_an': 0}
-
id: 53856451
{'hecke_orbit_code': 40532602871874436, 'n': 7, 'trace_an': 0}
-
id: 53856452
{'hecke_orbit_code': 40532602871874436, 'n': 8, 'trace_an': 0}
-
id: 53856453
{'hecke_orbit_code': 40532602871874436, 'n': 9, 'trace_an': 0}
-
id: 53856454
{'hecke_orbit_code': 40532602871874436, 'n': 10, 'trace_an': 0}
-
id: 53856455
{'hecke_orbit_code': 40532602871874436, 'n': 11, 'trace_an': 108}
-
id: 53856456
{'hecke_orbit_code': 40532602871874436, 'n': 12, 'trace_an': 0}
-
id: 53856457
{'hecke_orbit_code': 40532602871874436, 'n': 13, 'trace_an': 0}
-
id: 53856458
{'hecke_orbit_code': 40532602871874436, 'n': 14, 'trace_an': 0}
-
id: 53856459
{'hecke_orbit_code': 40532602871874436, 'n': 15, 'trace_an': 0}
-
id: 53856460
{'hecke_orbit_code': 40532602871874436, 'n': 16, 'trace_an': 0}
-
id: 53856461
{'hecke_orbit_code': 40532602871874436, 'n': 17, 'trace_an': 0}
-
id: 53856462
{'hecke_orbit_code': 40532602871874436, 'n': 18, 'trace_an': 0}
-
id: 53856463
{'hecke_orbit_code': 40532602871874436, 'n': 19, 'trace_an': 50}
-
id: 53856464
{'hecke_orbit_code': 40532602871874436, 'n': 20, 'trace_an': 0}
-
id: 53856465
{'hecke_orbit_code': 40532602871874436, 'n': 21, 'trace_an': 0}
-
id: 53856466
{'hecke_orbit_code': 40532602871874436, 'n': 22, 'trace_an': 0}
-
id: 53856467
{'hecke_orbit_code': 40532602871874436, 'n': 23, 'trace_an': 0}
-
id: 53856468
{'hecke_orbit_code': 40532602871874436, 'n': 24, 'trace_an': 0}
-
id: 53856469
{'hecke_orbit_code': 40532602871874436, 'n': 25, 'trace_an': 0}
-
id: 53856470
{'hecke_orbit_code': 40532602871874436, 'n': 26, 'trace_an': 0}
-
id: 53856471
{'hecke_orbit_code': 40532602871874436, 'n': 27, 'trace_an': 0}
-
id: 53856472
{'hecke_orbit_code': 40532602871874436, 'n': 28, 'trace_an': 0}
-
id: 53856473
{'hecke_orbit_code': 40532602871874436, 'n': 29, 'trace_an': -108}
-
id: 53856474
{'hecke_orbit_code': 40532602871874436, 'n': 30, 'trace_an': 0}
-
id: 53856475
{'hecke_orbit_code': 40532602871874436, 'n': 31, 'trace_an': -542}
-
id: 53856476
{'hecke_orbit_code': 40532602871874436, 'n': 32, 'trace_an': 0}
-
id: 53856477
{'hecke_orbit_code': 40532602871874436, 'n': 33, 'trace_an': 0}
-
id: 53856478
{'hecke_orbit_code': 40532602871874436, 'n': 34, 'trace_an': 0}
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