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mf_newforms • Show schema
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{'Nk2': 21600, 'analytic_conductor': 79.65257850774982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1350, 2, [1001, 1027], [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, [16, 0, 1]], [11, [-42, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057731543991622, 'hecke_ring_generator_nbound': 17, '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': '1350.4.c.q', 'level': 1350, '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': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '270.4.a.e', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-2 i q^{2}-4 q^{4}+4 i q^{7}+8 i q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1350.4.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 164970563615911087, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.078', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.112', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.236', 'prec': 17}, {'__RealLiteral__': 0, 'data': '171.900', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 0, -8, 0, 0, 0, 0, 0, 0, 84, 0, 0, 16, 0, 32, 0, 0, -118, 0, 0, 0, 0, 0, 0, 80, 0, 0, -240, 0, 94, 0, 0, -372, 0, 0, 0, 0, 0, 0, 252, 0, 0, -336, 0, 36, 0, 0, 654, 0, 0, 0, 0, 0, 0, -64, 0, 0, 888, 0, 442, 0, 0, -128, 0, 0, 0, 0, 0, 0, 1380, 0, 0, 1048, 0, 472, 0, 0, -1330, 0, 0, 0, 0, 0, 0, -712, 0, 0, 2172, 0, -160, 0, 0, -576, 0, 0, 0, 0, 0, 0, -264, 0, 0, -320, 0, 2964, 0, 0, 3470, 0, 0, 0, 0, 0, 0, 960, 0, 0, 744, 0, 866, 0, 0, -376, 0, 0, 0, 0, 0, 0, -228, 0, 0, 2152, 0, 1488, 0, 0, -4552, 0, 0, 0, 0, 0, 0, -4504, 0, 0, 2796, 0, 5248, 0, 0, 672, 0, 0, 0, 0, 0, 0, -72, 0, 0, -1008, 0, 300, 0, 0, 3594, 0, 0, 0, 0, 0, 0, 1344, 0, 0, 5280, 0, 2146, 0, 0, -144, 0, 0, 0, 0, 0, 0, 2940, 0, 0, -6176, 0, -2616, 0, 0, -1336, 0, 0, 0, 0, 0, 0, -3568, 0, 0, -4956, 0, 9202, 0, 0, 4560, 0, 0, 0, 0, 0, 0, 3720, 0, 0, 256, 0, -5736, 0, 0, -4054, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -2], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 4], [0, 8], [0, 0], [0, 0], [42, 0], [0, 0], [0, 20], [8, 0], [0, 0], [16, 0], [0, -93], [0, 0], [-59, 0], [0, 0], [0, 0], [0, -84], [0, 9], [0, 0], [0, 0], [40, 0], [0, 0], [0, -16], [-120, 0], [0, 0], [47, 0], [0, -32], [0, 0], [-186, 0], [0, 0], [0, 0], [0, 262], [0, 118], [0, 0], [0, 0], [126, 0], [0, 0], [0, -178], [-168, 0], [0, 0], [18, 0], [0, -144], [0, 0], [327, 0], [0, 0], [0, 0], [0, -80], [0, 741], [0, 0], [0, 0], [-32, 0], [0, 0], [0, 240], [444, 0], [0, 0], [221, 0], [0, -94], [0, 0], [-64, 0], [0, 0], [0, 0], [0, 538], [0, 372], [0, 0], [0, 0], [690, 0], [0, 0], [0, -1126], [524, 0], [0, 0], [236, 0], [0, 168], [0, 0], [-665, 0], [0, 0], [0, 0], [0, -252], [0, 75], [0, 0], [0, 0], [-356, 0], [0, 0], [0, 336], [1086, 0], [0, 0], [-80, 0], [0, -36], [0, 0], [-288, 0], [0, 0], [0, 0], [0, -1544], [0, -654], [0, 0], [0, 0]], 'ap': [[0, -2], [0, 0], [0, 0], [0, 4], [42, 0], [0, 20], [0, -93], [-59, 0], [0, 9], [-120, 0], [47, 0], [0, 262], [126, 0], [0, -178], [0, -144], [0, 741], [444, 0], [221, 0], [0, 538], [690, 0], [0, -1126], [-665, 0], [0, 75], [1086, 0], [0, -1544], [-132, 0], [0, -892], [0, 1140], [1735, 0], [0, -1434], [0, -686], [-114, 0], [0, -159], [-2276, 0], [1398, 0], [2624, 0], [0, 394], [0, -3346], [0, 1491], [0, 2403], [2640, 0], [1073, 0], [1470, 0], [0, -4720], [0, 765], [-668, 0], [4601, 0], [0, -2158], [0, -3123], [-2027, 0], [0, -438], [-6414, 0], [3431, 0], [7308, 0], [0, 3729], [0, -1956], [-990, 0], [8495, 0], [0, 1366], [5520, 0], [0, 5438], [0, -8253], [0, -9290], [-8112, 0], [0, -7900], [0, 4419], [-8200, 0], [0, 9556], [0, 10116], [6751, 0], [0, -4062], [8778, 0], [0, -956], [0, 2300], [-29, 0], [0, -8127], [-7938, 0], [0, -272], [-4554, 0], [-1001, 0], [-1794, 0], [-16129, 0], [13356, 0], [0, -11500], [11149, 0], [0, -3849], [18048, 0], [0, 4264], [10242, 0], [0, 3302], [0, -1923], [15246, 0], [0, 8206], [16806, 0], [5425, 0], [0, 19665], [-14724, 0], [-2058, 0], [0, 11912], [-5170, 0], [0, 4186], [0, 13026], [0, 10668], [-15372, 0], [-14989, 0], [0, 1066], [0, -621], [0, 20187], [-18228, 0], [-11743, 0], [0, 24418], [0, 2672], [0, -8601], [-21308, 0], [-19015, 0], [4416, 0], [0, 7580], [0, -14901], [0, -12915], [28128, 0], [-8362, 0], [0, 29708], [0, 6762], [0, 19155], [-22975, 0], [6450, 0], [-34538, 0], [27114, 0], [0, -236], [0, 27128], [-5249, 0], [0, -13896], [27665, 0], [0, 8122], [-10584, 0], [18619, 0], [0, -22251], [0, -24854], [0, 3681], [-5142, 0], [-18484, 0], [-25014, 0], [0, -32146], [0, -10977], [-36602, 0], [11076, 0], [0, 36848], [0, -26961], [415, 0], [0, 45501], [0, -35042], [-1080, 0], [0, -20164], [0, 20067], [0, 26524], [-35568, 0], [23704, 0], [-40590, 0], [0, 12964], [-29922, 0], [0, 5241], [0, -26214], [0, -18278], [24942, 0], [0, -11226], [0, 23073], [22037, 0], [0, -19082], [-2759, 0], [0, 14439], [-28356, 0], [38927, 0], [-1884, 0], [0, -29956], [11995, 0], [-61668, 0], [-6505, 0], [5904, 0], [0, -54862], [-6122, 0], [0, 55438], [1764, 0], [0, -62134], [0, 14502], [0, 12255], [-68004, 0], [0, -73856], [0, -7756], [-51053, 0], [-8376, 0], [0, -12802], [0, 20805], [73949, 0], [-12264, 0], [0, 4677], [0, -9525], [3977, 0], [0, 6956], [0, -64614], [0, 2784], [-4374, 0], [-48088, 0], [0, -74510], [40285, 0], [-4992, 0], [0, -14502], [-33440, 0], [0, 68127], [35100, 0], [51572, 0], [0, 16252], [-2466, 0], [0, -31840], [0, 70884], [82692, 0], [-55063, 0], [0, 40246], [46248, 0], [0, -21213], [0, -87567], [47858, 0], [11329, 0], [47616, 0], [0, 47630], [0, -53967], [-87491, 0], [0, -12093], [-71730, 0], [0, -40862], [31932, 0], [0, -12010], [16657, 0], [-9088, 0], [-49794, 0], [0, 82952], [0, -46407], [80875, 0], [0, -72885], [88194, 0], [85254, 0], [0, 39660], [13475, 0], [0, 67118], [-11513, 0], [0, 91890], [49974, 0], [0, -77252], [57684, 0], [-75692, 0], [0, 74391], [0, 5650], [-45882, 0], [0, -64635], [25171, 0], [0, 70569], [29616, 0], [-23611, 0], [0, -53804], [0, -76281], [0, 68092], [0, 92966], [0, -16437], [-83087, 0], [0, 86396], [0, 106785], [-7508, 0], [-102696, 0], [28110, 0], [0, -18934], [0, 37086], [-70861, 0], [0, -85166], [0, 48494], [-121151, 0], [0, 48958], [0, -116212], [0, -16221], [91519, 0], [-70783, 0], [-12138, 0], [0, 3624], [-61765, 0], [0, 33351], [-114361, 0], [0, 145348], [50400, 0], [0, 18038], [0, -38574], [-8189, 0], [-105816, 0], [-5448, 0], [0, 102099], [0, -4650], [127518, 0], [0, 100730], [71880, 0], [-22801, 0], [0, -25182], [76848, 0], [0, 44056], [0, -79066], [0, 159759], [-87392, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 72057731543991622, 'hecke_ring_character_values': [[1001, [1, 0]], [1027, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1350.4.c.q', 'level': 1350, 'maxp': 1999, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 21600, 'analytic_conductor': 79.65257850774982, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1350, 2, [1001, 1027], [2, 1]], 'conrey_index': 649, 'cusp_dim': 774, 'dim': 72, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 137506063686, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1350.4.c', 'level': 1350, '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': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 846, 'mf_new_dim': 72, 'num_forms': 28, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1080, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1152, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 564, 0, 0, 912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, -6324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, -4608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 3396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7572, 0, 0, 6192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 2520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17316, 0, 0, -2256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3648, 0, 0, -2436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4788, 0, 0, 6072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3240, 0, 0, -22992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, -1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25296, 0, 0, 31692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53592, 0, 0, -14568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8736, 0, 0, -35376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22728, 0, 0, 2304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18432, 0, 0, 13080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -81264, 0, 0, 17568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20352, 0, 0, 13680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7548, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13584, 0, 0, -45144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22452, 0, 0, 6576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42552, 0, 0, 77340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54384, 0, 0, 30288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24768, 0, 0, -30144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62064, 0, 0, 17112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8064, 0, 0, 7332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -61860, 0, 0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10080, 0, 0, -17076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13896, 0, 0, 61728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79536, 0, 0, 40308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10344, 0, 0, -69264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9024, 0, 0, -110640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -149196, 0, 0, 23808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12720, 0, 0, 55440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -85872, 0, 0, 14592, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9744, 0, 0, 2436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120936, 0, 0, -190128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -47280, 0, 0, -62748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28620, 0, 0, 19152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24288, 0, 0, -11160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -75444, 0, 0, 130680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2256, 0, 0, -83376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112092, 0, 0, -12960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91968, 0, 0, -112068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12096, 0, 0, -15864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150768, 0, 0, 66192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 222000, 0, 0, 43008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4608, 0, 0, -106344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25248, 0, 0, -32544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20016, 0, 0, -9780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105912, 0, 0, -101184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -126768, 0, 0, 479376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22056, 0, 0, 482208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12576, 0, 0, 259644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -416592, 0, 0, -214368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58272, 0, 0, -471444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54024, 0, 0, -96768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44784, 0, 0, 113316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 229680, 0, 0, -34944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 141504, 0, 0, -138828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1608, 0, 0, -152232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176304, 0, 0, 61032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -289740, 0, 0, -90912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9216, 0, 0, 125856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 245196, 0, 0, 336192, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 717426
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '270.4.a.e', 'target_level': 270, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717427
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '270.4.a.i', 'target_level': 270, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717428
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '810.4.e.h', 'target_level': 810, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 717429
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '810.4.e.q', 'target_level': 810, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 717430
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1350.4.a.g', 'target_level': 1350, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 717431
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1350.4.a.u', 'target_level': 1350, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717432
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1350.4.c.d', 'target_level': 1350, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717433
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1350.4.c.d', 'target_level': 1350, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 717434
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1350.4.c.q', 'target_level': 1350, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 717435
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1350.4.c.q', 'target_level': 1350, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 717436
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.4.a.e', 'target_level': 2160, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 717437
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '1350.4.c.q', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2160.4.a.o', 'target_level': 2160, 'twist_class_label': '270.4.a.e', 'twist_class_level': 270, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1889150
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 2}
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id: 1889151
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 3}
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id: 1889152
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 5}
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id: 1889153
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 7}
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id: 1889154
{'charpoly_factorization': [[[-42, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 11}
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id: 1889155
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 13}
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id: 1889156
{'charpoly_factorization': [[[8649, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 17}
-
id: 1889157
{'charpoly_factorization': [[[59, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 19}
-
id: 1889158
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 23}
-
id: 1889159
{'charpoly_factorization': [[[120, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 29}
-
id: 1889160
{'charpoly_factorization': [[[-47, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 31}
-
id: 1889161
{'charpoly_factorization': [[[68644, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 37}
-
id: 1889162
{'charpoly_factorization': [[[-126, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 41}
-
id: 1889163
{'charpoly_factorization': [[[31684, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 43}
-
id: 1889164
{'charpoly_factorization': [[[20736, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 47}
-
id: 1889165
{'charpoly_factorization': [[[549081, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 53}
-
id: 1889166
{'charpoly_factorization': [[[-444, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 59}
-
id: 1889167
{'charpoly_factorization': [[[-221, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 61}
-
id: 1889168
{'charpoly_factorization': [[[289444, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 67}
-
id: 1889169
{'charpoly_factorization': [[[-690, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 71}
-
id: 1889170
{'charpoly_factorization': [[[1267876, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 73}
-
id: 1889171
{'charpoly_factorization': [[[665, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 79}
-
id: 1889172
{'charpoly_factorization': [[[5625, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 83}
-
id: 1889173
{'charpoly_factorization': [[[-1086, 1], 2]], 'hecke_orbit_code': 72057731543991622, 'p': 89}
-
id: 1889174
{'charpoly_factorization': [[[2383936, 0, 1], 1]], 'hecke_orbit_code': 72057731543991622, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 17, 'label': '1350.4.c.q', 'level': 1350, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 62038915
{'hecke_orbit_code': 72057731543991622, 'n': 1, 'trace_an': 2}
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id: 62038916
{'hecke_orbit_code': 72057731543991622, 'n': 2, 'trace_an': 0}
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id: 62038917
{'hecke_orbit_code': 72057731543991622, 'n': 3, 'trace_an': 0}
-
id: 62038918
{'hecke_orbit_code': 72057731543991622, 'n': 4, 'trace_an': -8}
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id: 62038919
{'hecke_orbit_code': 72057731543991622, 'n': 5, 'trace_an': 0}
-
id: 62038920
{'hecke_orbit_code': 72057731543991622, 'n': 6, 'trace_an': 0}
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id: 62038921
{'hecke_orbit_code': 72057731543991622, 'n': 7, 'trace_an': 0}
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id: 62038922
{'hecke_orbit_code': 72057731543991622, 'n': 8, 'trace_an': 0}
-
id: 62038923
{'hecke_orbit_code': 72057731543991622, 'n': 9, 'trace_an': 0}
-
id: 62038924
{'hecke_orbit_code': 72057731543991622, 'n': 10, 'trace_an': 0}
-
id: 62038925
{'hecke_orbit_code': 72057731543991622, 'n': 11, 'trace_an': 84}
-
id: 62038926
{'hecke_orbit_code': 72057731543991622, 'n': 12, 'trace_an': 0}
-
id: 62038927
{'hecke_orbit_code': 72057731543991622, 'n': 13, 'trace_an': 0}
-
id: 62038928
{'hecke_orbit_code': 72057731543991622, 'n': 14, 'trace_an': 16}
-
id: 62038929
{'hecke_orbit_code': 72057731543991622, 'n': 15, 'trace_an': 0}
-
id: 62038930
{'hecke_orbit_code': 72057731543991622, 'n': 16, 'trace_an': 32}
-
id: 62038931
{'hecke_orbit_code': 72057731543991622, 'n': 17, 'trace_an': 0}
-
id: 62038932
{'hecke_orbit_code': 72057731543991622, 'n': 18, 'trace_an': 0}
-
id: 62038933
{'hecke_orbit_code': 72057731543991622, 'n': 19, 'trace_an': -118}
-
id: 62038934
{'hecke_orbit_code': 72057731543991622, 'n': 20, 'trace_an': 0}
-
id: 62038935
{'hecke_orbit_code': 72057731543991622, 'n': 21, 'trace_an': 0}
-
id: 62038936
{'hecke_orbit_code': 72057731543991622, 'n': 22, 'trace_an': 0}
-
id: 62038937
{'hecke_orbit_code': 72057731543991622, 'n': 23, 'trace_an': 0}
-
id: 62038938
{'hecke_orbit_code': 72057731543991622, 'n': 24, 'trace_an': 0}
-
id: 62038939
{'hecke_orbit_code': 72057731543991622, 'n': 25, 'trace_an': 0}
-
id: 62038940
{'hecke_orbit_code': 72057731543991622, 'n': 26, 'trace_an': 80}
-
id: 62038941
{'hecke_orbit_code': 72057731543991622, 'n': 27, 'trace_an': 0}
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