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mf_newforms • Show schema
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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, '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': [450, 2, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199], '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, [1156, 0, 1]], [11, [27, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336760803778, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.4.c.c', 'level': 450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '50.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2iq^{2}-4q^{4}+34iq^{7}-8iq^{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': '450.4.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1408099603557368982, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.637', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.674', 'prec': 24}], 'trace_zratio': 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0, 0, -39690, 0, 0, 0, 0, 0, 0, 10080, 0, 0, 23088, 0, 36244, 0, 0, -96288, 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, 2], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 34], [0, -8], [0, 0], [0, 0], [-27, 0], [0, 0], [0, -28], [-68, 0], [0, 0], [16, 0], [0, 21], [0, 0], [-35, 0], [0, 0], [0, 0], [0, -54], [0, 78], [0, 0], [0, 0], [56, 0], [0, 0], [0, -136], [-120, 0], [0, 0], [182, 0], [0, 32], [0, 0], [-42, 0], [0, 0], [0, 0], [0, -146], [0, -70], [0, 0], [0, 0], [-357, 0], [0, 0], [0, -148], [108, 0], [0, 0], [-156, 0], [0, -84], [0, 0], [-813, 0], [0, 0], [0, 0], [0, 112], [0, -702], [0, 0], [0, 0], [272, 0], [0, 0], [0, -240], [-840, 0], [0, 0], [-238, 0], [0, 364], [0, 0], [-64, 0], [0, 0], [0, 0], [0, -461], [0, -84], [0, 0], [0, 0], [708, 0], [0, 0], [0, -133], [292, 0], [0, 0], [140, 0], [0, -918], [0, 0], [-650, 0], [0, 0], [0, 0], [0, -714], [0, 903], [0, 0], [0, 0], [296, 0], [0, 0], [0, 216], [735, 0], [0, 0], [952, 0], [0, -312], [0, 0], [168, 0], [0, 0], [0, 0], [0, -1106], [0, -1626], [0, 0], [0, 0]], 'ap': [[0, 2], [0, 0], [0, 0], [0, 34], [-27, 0], [0, -28], [0, 21], [-35, 0], [0, 78], [-120, 0], [182, 0], [0, -146], [-357, 0], [0, -148], [0, -84], [0, -702], [-840, 0], [-238, 0], [0, -461], [708, 0], [0, -133], [-650, 0], [0, 903], [735, 0], [0, -1106], [-462, 0], [0, 812], [0, -789], [-230, 0], [0, 2073], [0, 1114], [-252, 0], [0, 1941], [1645, 0], [-1800, 0], [-3298, 0], [0, -266], [0, 1157], [0, -1764], [0, 1848], [135, 0], [2282, 0], [1398, 0], [0, 3317], [0, 1686], [1540, 0], [-3043, 0], [0, 3332], [0, 1596], [-4340, 0], [0, 3018], [4440, 0], [-3703, 0], [-7077, 0], [0, 6846], [0, 3438], [-1680, 0], [5222, 0], [0, 1384], [3858, 0], [0, 4277], [0, -6342], [0, -5831], [2478, 0], [0, -2758], [0, 636], [6887, 0], [0, -7331], [0, -5349], [-11270, 0], [0, -1302], [-750, 0], [0, 1204], [0, -1198], [-8105, 0], [0, 3318], [-13770, 0], [0, 3724], [-6117, 0], [-6125, 0], [1575, 0], [-988, 0], [558, 0], [0, -2443], [-12320, 0], [0, 2343], [10905, 0], [0, 3319], [6468, 0], [0, 11972], [0, 6636], [-630, 0], [0, -10646], [2388, 0], [10540, 0], [0, -6972], [-9030, 0], [-10437, 0], [0, -8113], [-14848, 0], [0, 20329], [0, -15324], [0, 9408], [-24375, 0], [-988, 0], [0, 16429], [0, -13839], [0, -14007], [21090, 0], [5747, 0], [0, -17696], [0, 26102], [0, -4194], [7420, 0], [-5818, 0], [29478, 0], [0, 5852], [0, -29484], [0, 3498], [7905, 0], [27272, 0], [0, 12602], [0, 25536], [0, -2127], [-8953, 0], [-23172, 0], [-9620, 0], [4830, 0], [0, -11816], [0, 23492], [-35300, 0], [0, -16242], [10712, 0], [0, 13504], [18123, 0], [-9485, 0], [0, 31248], [0, 15484], [0, 34146], [-36030, 0], [-6748, 0], [5598, 0], [0, 5732], [0, -39999], [-16940, 0], [-45360, 0], [0, -43918], [0, -3339], [36925, 0], [0, 40608], [0, -35156], [-2142, 0], [0, -19153], [0, -24444], [0, -20036], [33468, 0], [-35090, 0], [-32130, 0], [0, -20531], [-7812, 0], [0, 23256], [0, -14097], [0, 34144], [32613, 0], [0, -43359], [0, 28518], [18122, 0], [0, 28924]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 9007336760803778, 'hecke_ring_character_values': [[101, [1, 0]], [127, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '450.4.c.c', 'level': 450, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 7200, 'analytic_conductor': 26.550859502583275, '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': [450, 2, [101, 127], [2, 1]], 'conrey_index': 199, 'cusp_dim': 246, 'dim': 22, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 137506062786, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '450.4.c', 'level': 450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 294, 'mf_new_dim': 22, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 22, 'sturm_bound': 360, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, -88, 0, 0, 0, 0, 0, 0, 90, 0, 0, -136, 0, 352, 0, 0, 82, 0, 0, 0, 0, 0, 0, -32, 0, 0, -816, 0, -460, 0, 0, 204, 0, 0, 0, 0, 0, 0, 294, 0, 0, -360, 0, -360, 0, 0, 282, 0, 0, 0, 0, 0, 0, 544, 0, 0, 480, 0, 1076, 0, 0, -1408, 0, 0, 0, 0, 0, 0, -600, 0, 0, -712, 0, -328, 0, 0, -6260, 0, 0, 0, 0, 0, 0, 2464, 0, 0, 318, 0, 4984, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4452, 0, 0, 128, 0, -2568, 0, 0, 3076, 0, 0, 0, 0, 0, 0, 3264, 0, 0, 9156, 0, -4784, 0, 0, 1840, 0, 0, 0, 0, 0, 0, -10800, 0, 0, -4636, 0, -816, 0, 0, 5674, 0, 0, 0, 0, 0, 0, 11188, 0, 0, -4896, 0, 2084, 0, 0, -5256, 0, 0, 0, 0, 0, 0, -5520, 0, 0, -1176, 0, -9804, 0, 0, 4518, 0, 0, 0, 0, 0, 0, 1440, 0, 0, 11934, 0, 23492, 0, 0, 1440, 0, 0, 0, 0, 0, 0, -444, 0, 0, -1912, 0, -1128, 0, 0, -10256, 0, 0, 0, 0, 0, 0, 784, 0, 0, -22950, 0, -22702, 0, 0, 15972, 0, 0, 0, 0, 0, 0, 24432, 0, 0, -2176, 0, 10044, 0, 0, 23032, 0, 0, 0, 0, 0, 0, -1920, 0, 0, 5424, 0, -15262, 0, 0, -4304, 0, 0, 0, 0, 0, 0, -18114, 0, 0, 9080, 0, 5632, 0, 0, 5096, 0, 0, 0, 0, 0, 0, -18856, 0, 0, 5424, 0, 10940, 0, 0, -14772, 0, 0, 0, 0, 0, 0, 9228, 0, 0, 2400, 0, -6768, 0, 0, -5692, 0, 0, 0, 0, 0, 0, 2848, 0, 0, 32520, 0, -29528, 0, 0, 1312, 0, 0, 0, 0, 0, 0, 6900, 0, 0, 6968, 0, 25040, 0, 0, -10368, 0, 0, 0, 0, 0, 0, -30116, 0, 0, -13800, 0, 14846, 0, 0, 11232, 0, 0, 0, 0, 0, 0, -9900, 0, 0, -9856, 0, -4896, 0, 0, -39956, 0, 0, 0, 0, 0, 0, -1272, 0, 0, -23964, 0, 34824, 0, 0, -19936, 0, 0, 0, 0, 0, 0, 66024, 0, 0, 25020, 0, 0, 0, 0, -42266, 0, 0, 0, 0, 0, 0, 2572, 0, 0, -60876, 0, -4140, 0, 0, 14088, 0, 0, 0, 0, 0, 0, -24186, 0, 0, 17808, 0, 3360, 0, 0, 67318, 0, 0, 0, 0, 0, 0, -512, 0, 0, 22230, 0, -35248, 0, 0, 10272, 0, 0, 0, 0, 0, 0, -36540, 0, 0, -28208, 0, -12304, 0, 0, -10904, 0, 0, 0, 0, 0, 0, 1360, 0, 0, 44994, 0, 8190, 0, 0, -36192, 0, 0, 0, 0, 0, 0, 97680, 0, 0, -13056, 0, 1080, 0, 0, 3020, 0, 0, 0, 0, 0, 0, -36624, 0, 0, -11124, 0, -14000, 0, 0, 19136, 0, 0, 0, 0, 0, 0, -37056, 0, 0, -6512, 0, -7360, 0, 0, -10688, 0, 0, 0, 0, 0, 0, 14760, 0, 0, -102876, 0, 2788, 0, 0, 17064, 0, 0, 0, 0, 0, 0, 69918, 0, 0, 43200, 0, 67608, 0, 0, -15646, 0, 0, 0, 0, 0, 0, 18544, 0, 0, -56250, 0, 48224, 0, 0, 3264, 0, 0, 0, 0, 0, 0, -47256, 0, 0, 13328, 0, -22696, 0, 0, 7832, 0, 0, 0, 0, 0, 0, -63332, 0, 0, 3018, 0, -82528, 0, 0, 20904, 0, 0, 0, 0, 0, 0, 10092, 0, 0, -44752, 0, -22152, 0, 0, 42500, 0, 0, 0, 0, 0, 0, 19584, 0, 0, 230676, 0, 115382, 0, 0, -8336, 0, 0, 0, 0, 0, 0, 7320, 0, 0, 4460, 0, 21024, 0, 0, 3856, 0, 0, 0, 0, 0, 0, -35912, 0, 0, 16932, 0, -63052, 0, 0, -60048, 0, 0, 0, 0, 0, 0, -137460, 0, 0, 22080, 0, -29316, 0, 0, -40752, 0, 0, 0, 0, 0, 0, 4704, 0, 0, -27462, 0, -96808, 0, 0, 39216, 0, 0, 0, 0, 0, 0, 52380, 0, 0, 73964, 0, -18072, 0, 0, 160880, 0, 0, 0, 0, 0, 0, 130448, 0, 0, -71712, 0, -30322, 0, 0, 57252, 0, 0, 0, 0, 0, 0, -46776, 0, 0, -5760, 0, 17976, 0, 0, -59480, 0, 0, 0, 0, 0, 0, -47736, 0, 0, 107940, 0, -77024, 0, 0, -93968, 0, 0, 0, 0, 0, 0, 1536, 0, 0, -134992, 0, -5760, 0, 0, 37432, 0, 0, 0, 0, 0, 0, 28264, 0, 0, 152868, 0, 227840, 0, 0, 82176, 0, 0, 0, 0, 0, 0, 19398, 0, 0, 1776, 0, -32040, 0, 0, -1130, 0, 0, 0, 0, 0, 0, 7648, 0, 0, -25986, 0, 53064, 0, 0, 4512, 0, 0, 0, 0, 0, 0, -247668, 0, 0, -71488, 0, 41024, 0, 0, -179640, 0, 0, 0, 0, 0, 0, 148544, 0, 0, -127644, 0, -78112, 0, 0, -216504, 0, 0, 0, 0, 0, 0, 250668, 0, 0, -3136, 0, -39456, 0, 0, 62320, 0, 0, 0, 0, 0, 0, 91800, 0, 0, -198216, 0, 164434, 0, 0, 90808, 0, 0, 0, 0, 0, 0, -141960, 0, 0, 63760, 0, -63888, 0, 0, 130234, 0, 0, 0, 0, 0, 0, 26764, 0, 0, -10980, 0, 9856, 0, 0, 20520, 0, 0, 0, 0, 0, 0, -129564, 0, 0, -97728, 0, -13836, 0, 0, -39208, 0, 0, 0, 0, 0, 0, 8704, 0, 0, 217752, 0, -171396, 0, 0, -40176, 0, 0, 0, 0, 0, 0, 21792, 0, 0, -16156, 0, -92128, 0, 0, -124700, 0, 0, 0, 0, 0, 0, -71216, 0, 0, -29196, 0, 112782, 0, 0, 321120, 0, 0, 0, 0, 0, 0, -131112, 0, 0, 7680, 0, -70704, 0, 0, 171896, 0, 0, 0, 0, 0, 0, -21696, 0, 0, -45804, 0, 280902, 0, 0, 61048, 0, 0, 0, 0, 0, 0, 386634, 0, 0, 78008, 0, 17216, 0, 0, -365274, 0, 0, 0, 0, 0, 0, 143136, 0, 0, -239640, 0, -7348, 0, 0, -357408, 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: 332106
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '50.4.a.a', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 332107
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '50.4.a.e', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 332108
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '50.4.b.b', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 332109
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '50.4.b.b', 'target_level': 50, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 332110
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.4.a.d', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 332111
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '400.4.a.r', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 332112
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.4.c.d', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 332113
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '400.4.c.d', 'target_level': 400, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 332114
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '450.4.a.a', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 332115
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '450.4.a.t', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 332116
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.4.c.c', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 332117
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '450.4.c.c', 'target_level': 450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 332118
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1600.4.a.f', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 332119
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1600.4.a.g', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 332120
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '1600.4.a.bu', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 332121
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '1600.4.a.bv', 'target_level': 1600, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 4}
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id: 332122
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2450.4.a.t', 'target_level': 2450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 332123
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '450.4.c.c', 'source_level': 450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2450.4.a.y', 'target_level': 2450, 'twist_class_label': '50.4.a.a', 'twist_class_level': 50, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 910800
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 2}
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id: 910801
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 3}
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id: 910802
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 5}
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id: 910803
{'charpoly_factorization': [[[1156, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 7}
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id: 910804
{'charpoly_factorization': [[[27, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 11}
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id: 910805
{'charpoly_factorization': [[[784, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 13}
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id: 910806
{'charpoly_factorization': [[[441, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 17}
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id: 910807
{'charpoly_factorization': [[[35, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 19}
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id: 910808
{'charpoly_factorization': [[[6084, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 23}
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id: 910809
{'charpoly_factorization': [[[120, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 29}
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id: 910810
{'charpoly_factorization': [[[-182, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 31}
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id: 910811
{'charpoly_factorization': [[[21316, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 37}
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id: 910812
{'charpoly_factorization': [[[357, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 41}
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id: 910813
{'charpoly_factorization': [[[21904, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 43}
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id: 910814
{'charpoly_factorization': [[[7056, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 47}
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id: 910815
{'charpoly_factorization': [[[492804, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 53}
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id: 910816
{'charpoly_factorization': [[[840, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 59}
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id: 910817
{'charpoly_factorization': [[[238, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 61}
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id: 910818
{'charpoly_factorization': [[[212521, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 67}
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id: 910819
{'charpoly_factorization': [[[-708, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 71}
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id: 910820
{'charpoly_factorization': [[[17689, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 73}
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id: 910821
{'charpoly_factorization': [[[650, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 79}
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id: 910822
{'charpoly_factorization': [[[815409, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 83}
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id: 910823
{'charpoly_factorization': [[[-735, 1], 2]], 'hecke_orbit_code': 9007336760803778, 'p': 89}
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id: 910824
{'charpoly_factorization': [[[1223236, 0, 1], 1]], 'hecke_orbit_code': 9007336760803778, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '450.4.c.c', 'level': 450, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 116300000
{'hecke_orbit_code': 9007336760803778, 'n': 1, 'trace_an': 2}
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id: 116300001
{'hecke_orbit_code': 9007336760803778, 'n': 2, 'trace_an': 0}
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id: 116300002
{'hecke_orbit_code': 9007336760803778, 'n': 3, 'trace_an': 0}
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id: 116300003
{'hecke_orbit_code': 9007336760803778, 'n': 4, 'trace_an': -8}
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id: 116300004
{'hecke_orbit_code': 9007336760803778, 'n': 5, 'trace_an': 0}
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id: 116300005
{'hecke_orbit_code': 9007336760803778, 'n': 6, 'trace_an': 0}
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id: 116300006
{'hecke_orbit_code': 9007336760803778, 'n': 7, 'trace_an': 0}
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id: 116300007
{'hecke_orbit_code': 9007336760803778, 'n': 8, 'trace_an': 0}
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id: 116300008
{'hecke_orbit_code': 9007336760803778, 'n': 9, 'trace_an': 0}
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id: 116300009
{'hecke_orbit_code': 9007336760803778, 'n': 10, 'trace_an': 0}
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id: 116300010
{'hecke_orbit_code': 9007336760803778, 'n': 11, 'trace_an': -54}
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id: 116300011
{'hecke_orbit_code': 9007336760803778, 'n': 12, 'trace_an': 0}
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id: 116300012
{'hecke_orbit_code': 9007336760803778, 'n': 13, 'trace_an': 0}
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id: 116300013
{'hecke_orbit_code': 9007336760803778, 'n': 14, 'trace_an': -136}
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id: 116300014
{'hecke_orbit_code': 9007336760803778, 'n': 15, 'trace_an': 0}
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id: 116300015
{'hecke_orbit_code': 9007336760803778, 'n': 16, 'trace_an': 32}
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id: 116300016
{'hecke_orbit_code': 9007336760803778, 'n': 17, 'trace_an': 0}
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id: 116300017
{'hecke_orbit_code': 9007336760803778, 'n': 18, 'trace_an': 0}
-
id: 116300018
{'hecke_orbit_code': 9007336760803778, 'n': 19, 'trace_an': -70}
-
id: 116300019
{'hecke_orbit_code': 9007336760803778, 'n': 20, 'trace_an': 0}
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id: 116300020
{'hecke_orbit_code': 9007336760803778, 'n': 21, 'trace_an': 0}
-
id: 116300021
{'hecke_orbit_code': 9007336760803778, 'n': 22, 'trace_an': 0}
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id: 116300022
{'hecke_orbit_code': 9007336760803778, 'n': 23, 'trace_an': 0}
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id: 116300023
{'hecke_orbit_code': 9007336760803778, 'n': 24, 'trace_an': 0}
-
id: 116300024
{'hecke_orbit_code': 9007336760803778, 'n': 25, 'trace_an': 0}
-
id: 116300025
{'hecke_orbit_code': 9007336760803778, 'n': 26, 'trace_an': 112}
-
id: 116300026
{'hecke_orbit_code': 9007336760803778, 'n': 27, 'trace_an': 0}
-
id: 116300027
{'hecke_orbit_code': 9007336760803778, 'n': 28, 'trace_an': 0}
-
id: 116300028
{'hecke_orbit_code': 9007336760803778, 'n': 29, 'trace_an': -240}
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id: 116300029
{'hecke_orbit_code': 9007336760803778, 'n': 30, 'trace_an': 0}
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id: 116300030
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