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mf_newforms • Show schema
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{'Nk2': 972, 'analytic_conductor': 2.9427868550912066, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 4, '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': [108, 2, [55, 29], [1, 2]], 'cm_discs': [], 'conrey_index': 55, 'conrey_indexes': [55], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-7, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206208761964, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '108.3.d.a', 'level': 108, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '108.3.d.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-1-\\zeta_{6})q^{2}+(-2+2\\zeta_{6})q^{4}+7q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '108.3.d', 'trace_display': [-2, 0, 14, 0], 'trace_hash': 746279930872359290, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.867', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.689', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '144.222', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 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-2450, -1500, 0, 4200, 230, 0, 0, 960, 0, 300, 0, 0, -2200, -864, 0, 0, -88, 0, 0, 120, 0, 1140, 0, 0, -3844, 400, 0, -536, 910, 0, 0, 736, 0, 350, 0, 0, -3000, -1800, 0, 1024, 692, 0, 0, 728, 0, 750, 0, 0, 3542, 160, 0, 1440, 120, 0, 0, -2976, 0, 0, 0, 0, 520, -156, 0, -112], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, -1], [0, 0], [-2, 2], [7, 0], [0, 0], [0, 5], [8, 0], [0, 0], [-7, -7], [0, -5], [0, 0], [20, 0], [15, -5], [0, 0], [-8, -8], [-8, 0], [0, 0], [0, -6], [-14, 14], [0, 0], [-15, 5], [0, 2], [0, 0], [24, 0], [-20, -20], [0, 0], [-30, -10], [10, 0], [0, 0], [0, 31], [-16, 16], [0, 0], [8, 8], [0, 35], [0, 0], [-10, 0], [-18, 6], [0, 0], [56, 0], [-50, 0], [0, 0], [0, -10], [30, 10], [0, 0], [6, -2], [0, -50], [0, 0], [-26, 0], [-24, -24], [0, 0], [-40, 40], [-47, 0], [0, 0], [0, -35], [0, 40], [0, 0], [-10, -10], [0, 20], [0, 0], [-64, 0], [93, -31], [0, 0], [64, 0], [140, 0], [0, 0], [0, -50], [16, -16], [0, 0], [105, -35], [0, 0], [0, 0], [-55, 0], [10, 10], [0, 0], [36, 12], [75, 0], [0, 0], [0, -4], [-56, -56], [0, 0], [50, 50], [0, -17], [0, 0], [-56, 0], [-30, 10], [0, 0], [0, -40], [10, 0], [0, 0], [0, 100], [-12, -4], [0, 0], [-150, 50], [0, -42], [0, 0], [-25, 0], [26, 26], [0, 0], [-48, 48]], 'ap': [[-1, -1], [0, 0], [7, 0], [0, 5], [0, -5], [20, 0], [-8, 0], [0, -6], [0, 2], [10, 0], [0, 31], [-10, 0], [-50, 0], [0, -10], [0, -50], [-47, 0], [0, 20], [-64, 0], [0, -50], [0, 0], [-55, 0], [0, -4], [0, -17], [10, 0], [-25, 0], [-155, 0], [0, -80], [0, 75], [134, 0], [-74, 0], [0, 15], [0, 95], [-62, 0], [0, 100], [115, 0], [0, -25], [20, 0], [0, -60], [0, -142], [127, 0], [0, -135], [56, 0], [0, -20], [65, 0], [253, 0], [0, 75], [0, -86], [0, 20], [0, 52], [146, 0], [334, 0], [0, -10], [134, 0], [0, 120], [268, 0], [0, 250], [-350, 0], [0, 21], [-520, 0], [-440, 0], [0, 190], [-218, 0], [0, 120], [0, 170], [485, 0], [217, 0], [0, -250], [-310, 0], [0, 125], [74, 0], [394, 0], [0, 330], [0, -325], [-40, 0], [0, 396], [0, -208], [475, 0], [260, 0], [-740, 0], [659, 0], [0, -340], [-496, 0], [0, 330], [-235, 0], [0, 239], [0, -332], [-470, 0], [-325, 0], [655, 0], [0, -95], [0, -33], [0, 190], [0, -300], [0, 125], [0, -26], [0, 222], [265, 0], [-380, 0], [0, -360], [-532, 0], [0, -520], [-89, 0], [0, -175], [100, 0], [0, 196], [-730, 0], [0, 463], [982, 0], [0, -130], [251, 0], [0, 220], [650, 0], [-758, 0], [0, -100], [0, 69], [910, 0], [0, -20], [0, 528], [103, 0], [0, -35], [578, 0], [845, 0], [-1154, 0], [0, 108], [0, 284], [-215, 0], [-532, 0], [0, -660], [0, -715], [950, 0], [0, 336], [0, 500], [0, -101], [830, 0], [-560, 0], [-331, 0], [298, 0], [0, 640], [1303, 0], [-170, 0], [0, 450], [1090, 0], [0, -545], [0, 48], [542, 0], [0, 400], [290, 0], [-368, 0], [0, 616], [0, -588], [-1330, 0], [1060, 0], [0, -870], [0, -412], [0, 770], [0, -890], [0, -525], [-1340, 0], [-1225, 0], [115, 0], [0, 397], [-44, 0], [0, 145], [0, 195], [346, 0], [0, -458], [0, 609], [260, 0]], 'char_orbit_index': 4, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 206208761964, 'hecke_ring_character_values': [[55, [-1, 0]], [29, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '108.3.d.a', 'level': 108, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 972, 'analytic_conductor': 2.9427868550912066, 'char_conductor': 4, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [108, 2, [55, 29], [1, 2]], 'conrey_index': 55, 'cusp_dim': 30, 'dim': 16, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 206208761964, 'hecke_orbit_dims': [2, 2, 4, 8], 'label': '108.3.d', 'level': 108, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 42, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 54, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, -2, 0, 0, 0, 0, 0, 14, 0, 0, 8, 0, 0, 10, 0, 0, 0, 0, 0, -102, 0, 0, 72, 0, 0, -150, 0, 0, 0, 0, 0, -40, 0, 0, 8, 0, 0, 170, 0, 0, 0, 0, 0, 372, 0, 0, -176, 0, 0, 44, 0, 0, 0, 0, 0, -340, 0, 0, -184, 0, 0, -326, 0, 0, 0, 0, 0, -78, 0, 0, -64, 0, 0, 576, 0, 0, 0, 0, 0, 596, 0, 0, 400, 0, 0, 342, 0, 0, 0, 0, 0, -300, 0, 0, 128, 0, 0, -1044, 0, 0, 0, 0, 0, 74, 0, 0, -208, 0, 0, 798, 0, 0, 0, 0, 0, 552, 0, 0, -392, 0, 0, -246, 0, 0, 0, 0, 0, -992, 0, 0, -504, 0, 0, -712, 0, 0, 0, 0, 0, -936, 0, 0, 448, 0, 0, 8, 0, 0, 0, 0, 0, 966, 0, 0, 944, 0, 0, -190, 0, 0, 0, 0, 0, -606, 0, 0, 1368, 0, 0, 84, 0, 0, 0, 0, 0, 356, 0, 0, -40, 0, 0, 684, 0, 0, 0, 0, 0, 252, 0, 0, -1360, 0, 0, 1084, 0, 0, 0, 0, 0, 818, 0, 0, -992, 0, 0, -1192, 0, 0, 0, 0, 0, 1026, 0, 0, 24, 0, 0, 294, 0, 0, 0, 0, 0, -940, 0, 0, 1376, 0, 0, -364, 0, 0, 0, 0, 0, -1032, 0, 0, 824, 0, 0, 932, 0, 0, 0, 0, 0, -1286, 0, 0, -480, 0, 0, -1982, 0, 0, 0, 0, 0, 1290, 0, 0, -3080, 0, 0, -768, 0, 0, 0, 0, 0, 164, 0, 0, -2896, 0, 0, 2574, 0, 0, 0, 0, 0, 912, 0, 0, 528, 0, 0, 854, 0, 0, 0, 0, 0, -1426, 0, 0, 2352, 0, 0, 1260, 0, 0, 0, 0, 0, 3678, 0, 0, 2768, 0, 0, -708, 0, 0, 0, 0, 0, 924, 0, 0, -216, 0, 0, -1012, 0, 0, 0, 0, 0, -4308, 0, 0, -1480, 0, 0, -1400, 0, 0, 0, 0, 0, -322, 0, 0, -88, 0, 0, 1182, 0, 0, 0, 0, 0, -1962, 0, 0, -488, 0, 0, -3900, 0, 0, 0, 0, 0, 844, 0, 0, 4280, 0, 0, -2628, 0, 0, 0, 0, 0, 960, 0, 0, 1752, 0, 0, 4394, 0, 0, 0, 0, 0, 1562, 0, 0, -1216, 0, 0, 1008, 0, 0, 0, 0, 0, -2796, 0, 0, -2080, 0, 0, 3948, 0, 0, 0, 0, 0, 4356, 0, 0, -4360, 0, 0, -850, 0, 0, 0, 0, 0, 1884, 0, 0, 3320, 0, 0, -532, 0, 0, 0, 0, 0, -3728, 0, 0, 1840, 0, 0, -2178, 0, 0, 0, 0, 0, -1992, 0, 0, 2408, 0, 0, 1596, 0, 0, 0, 0, 0, -3892, 0, 0, 1176, 0, 0, -5688, 0, 0, 0, 0, 0, 1884, 0, 0, -3848, 0, 0, -3992, 0, 0, 0, 0, 0, 764, 0, 0, -1568, 0, 0, 4890, 0, 0, 0, 0, 0, 2880, 0, 0, -2024, 0, 0, 1602, 0, 0, 0, 0, 0, -2272, 0, 0, 1488, 0, 0, 5584, 0, 0, 0, 0, 0, 4884, 0, 0, 1168, 0, 0, -4176, 0, 0, 0, 0, 0, 3452, 0, 0, -5032, 0, 0, 2024, 0, 0, 0, 0, 0, -3816, 0, 0, -3192, 0, 0, -2244, 0, 0, 0, 0, 0, -1816, 0, 0, -2624, 0, 0, 2808, 0, 0, 0, 0, 0, -4884, 0, 0, 296, 0, 0, -5708, 0, 0, 0, 0, 0, 5252, 0, 0, 3744, 0, 0, 284, 0, 0, 0, 0, 0, -2208, 0, 0, 6584, 0, 0, 5430, 0, 0, 0, 0, 0, 2080, 0, 0, 5144, 0, 0, 5106, 0, 0, 0, 0, 0, 2244, 0, 0, -3088, 0, 0, 4112, 0, 0, 0, 0, 0, 4250, 0, 0, 272, 0, 0, -7222, 0, 0, 0, 0, 0, 3600, 0, 0, 1824, 0, 0, 1620, 0, 0, 0, 0, 0, -4452, 0, 0, 2312, 0, 0, -5058, 0, 0, 0, 0, 0, -6996, 0, 0, -4576, 0, 0, -1746, 0, 0, 0, 0, 0, -8166, 0, 0, -1136, 0, 0, -4620, 0, 0, 0, 0, 0, 6582, 0, 0, -4448, 0, 0, -3420, 0, 0, 0, 0, 0, -3988, 0, 0, -6952, 0, 0, 332, 0, 0, 0, 0, 0, 2124, 0, 0, 1464, 0, 0, 6188, 0, 0, 0, 0, 0, 1510, 0, 0, 2480, 0, 0, 7404, 0, 0, 0, 0, 0, 6150, 0, 0, 6664, 0, 0, -8904, 0, 0, 0, 0, 0, 4960, 0, 0, -2776, 0, 0, 2916, 0, 0, 0, 0, 0, -5064, 0, 0, 3536, 0, 0, 1646, 0, 0, 0, 0, 0, -9442, 0, 0, 5904, 0, 0, -1532, 0, 0, 0, 0, 0, -9600, 0, 0, -4232, 0, 0, -2466, 0, 0, 0, 0, 0, 11048, 0, 0, 5376, 0, 0, -5722, 0, 0, 0, 0, 0, -1932, 0, 0, -288, 0, 0, 2284, 0, 0, 0, 0, 0, 4200, 0, 0, -2200, 0, 0, 9152, 0, 0, 0, 0, 0, 2136, 0, 0, 720, 0, 0, 5352, 0, 0, 0, 0, 0, 4752, 0, 0, -5704, 0, 0, -8802, 0, 0, 0, 0, 0, 972, 0, 0, 8152, 0, 0, 4686, 0, 0, 0, 0, 0, -3816, 0, 0, -7624, 0, 0, -3210, 0, 0, 0, 0, 0, -5880, 0, 0, -504, 0, 0, -3552, 0, 0, 0, 0, 0, -7252, 0, 0, 6928, 0, 0, -4564, 0, 0, 0, 0, 0, 14928, 0, 0, -3768, 0, 0, -2692, 0, 0, 0, 0, 0, -6202, 0, 0, 504, 0, 0, 5540, 0, 0, 0, 0, 0, 3906, 0, 0, -9136, 0, 0, 9708, 0, 0, 0, 0, 0, 2388, 0, 0, -536, 0, 0, 12456, 0, 0, 0, 0, 0, 5748, 0, 0, -5528, 0, 0, -8104, 0, 0, 0, 0, 0, 3298, 0, 0, -7752, 0, 0, 1496, 0, 0, 0, 0, 0, -1986, 0, 0, 4360, 0, 0, -5652, 0, 0, 0, 0, 0, -7704, 0, 0, 1760, 0, 0, -2306], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 94346
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '108.3.d.a', 'target_level': 108, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 94347
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '108.3.d.a', 'target_level': 108, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 94348
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '108.3.d.b', 'target_level': 108, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 94349
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '108.3.d.b', 'target_level': 108, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 94350
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '324.3.f.b', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 94351
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '324.3.f.b', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 94352
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '324.3.f.c', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 94353
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '324.3.f.c', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 94354
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '324.3.f.h', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 94355
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '324.3.f.h', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 94356
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '324.3.f.i', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 94357
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '324.3.f.i', 'target_level': 324, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 94358
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.3.g.a', 'target_level': 1728, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 94359
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1728.3.g.a', 'target_level': 1728, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 94360
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1728.3.g.f', 'target_level': 1728, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 94361
{'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': True, 'source_label': '108.3.d.a', 'source_level': 108, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1728.3.g.f', 'target_level': 1728, 'twist_class_label': '108.3.d.a', 'twist_class_level': 108, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 313075
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 2}
-
id: 313076
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 3}
-
id: 313077
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 5}
-
id: 313078
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 7}
-
id: 313079
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 11}
-
id: 313080
{'charpoly_factorization': [[[-20, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 13}
-
id: 313081
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 17}
-
id: 313082
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 19}
-
id: 313083
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 23}
-
id: 313084
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 29}
-
id: 313085
{'charpoly_factorization': [[[2883, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 31}
-
id: 313086
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 37}
-
id: 313087
{'charpoly_factorization': [[[50, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 41}
-
id: 313088
{'charpoly_factorization': [[[300, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 43}
-
id: 313089
{'charpoly_factorization': [[[7500, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 47}
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id: 313090
{'charpoly_factorization': [[[47, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 53}
-
id: 313091
{'charpoly_factorization': [[[1200, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 59}
-
id: 313092
{'charpoly_factorization': [[[64, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 61}
-
id: 313093
{'charpoly_factorization': [[[7500, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 67}
-
id: 313094
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 71}
-
id: 313095
{'charpoly_factorization': [[[55, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 73}
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id: 313096
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 79}
-
id: 313097
{'charpoly_factorization': [[[867, 0, 1], 1]], 'hecke_orbit_code': 206208761964, 'p': 83}
-
id: 313098
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 89}
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id: 313099
{'charpoly_factorization': [[[25, 1], 2]], 'hecke_orbit_code': 206208761964, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '108.3.d.a', 'level': 108, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 26181000
{'hecke_orbit_code': 206208761964, 'n': 1, 'trace_an': 2}
-
id: 26181001
{'hecke_orbit_code': 206208761964, 'n': 2, 'trace_an': -2}
-
id: 26181002
{'hecke_orbit_code': 206208761964, 'n': 3, 'trace_an': 0}
-
id: 26181003
{'hecke_orbit_code': 206208761964, 'n': 4, 'trace_an': -4}
-
id: 26181004
{'hecke_orbit_code': 206208761964, 'n': 5, 'trace_an': 14}
-
id: 26181005
{'hecke_orbit_code': 206208761964, 'n': 6, 'trace_an': 0}
-
id: 26181006
{'hecke_orbit_code': 206208761964, 'n': 7, 'trace_an': 0}
-
id: 26181007
{'hecke_orbit_code': 206208761964, 'n': 8, 'trace_an': 16}
-
id: 26181008
{'hecke_orbit_code': 206208761964, 'n': 9, 'trace_an': 0}
-
id: 26181009
{'hecke_orbit_code': 206208761964, 'n': 10, 'trace_an': -14}
-
id: 26181010
{'hecke_orbit_code': 206208761964, 'n': 11, 'trace_an': 0}
-
id: 26181011
{'hecke_orbit_code': 206208761964, 'n': 12, 'trace_an': 0}
-
id: 26181012
{'hecke_orbit_code': 206208761964, 'n': 13, 'trace_an': 40}
-
id: 26181013
{'hecke_orbit_code': 206208761964, 'n': 14, 'trace_an': 30}
-
id: 26181014
{'hecke_orbit_code': 206208761964, 'n': 15, 'trace_an': 0}
-
id: 26181015
{'hecke_orbit_code': 206208761964, 'n': 16, 'trace_an': -16}
-
id: 26181016
{'hecke_orbit_code': 206208761964, 'n': 17, 'trace_an': -16}
-
id: 26181017
{'hecke_orbit_code': 206208761964, 'n': 18, 'trace_an': 0}
-
id: 26181018
{'hecke_orbit_code': 206208761964, 'n': 19, 'trace_an': 0}
-
id: 26181019
{'hecke_orbit_code': 206208761964, 'n': 20, 'trace_an': -28}
-
id: 26181020
{'hecke_orbit_code': 206208761964, 'n': 21, 'trace_an': 0}
-
id: 26181021
{'hecke_orbit_code': 206208761964, 'n': 22, 'trace_an': -30}
-
id: 26181022
{'hecke_orbit_code': 206208761964, 'n': 23, 'trace_an': 0}
-
id: 26181023
{'hecke_orbit_code': 206208761964, 'n': 24, 'trace_an': 0}
-
id: 26181024
{'hecke_orbit_code': 206208761964, 'n': 25, 'trace_an': 48}
-
id: 26181025
{'hecke_orbit_code': 206208761964, 'n': 26, 'trace_an': -40}
-
id: 26181026
{'hecke_orbit_code': 206208761964, 'n': 27, 'trace_an': 0}
-
id: 26181027
{'hecke_orbit_code': 206208761964, 'n': 28, 'trace_an': -60}
-
id: 26181028
{'hecke_orbit_code': 206208761964, 'n': 29, 'trace_an': 20}
-
id: 26181029
{'hecke_orbit_code': 206208761964, 'n': 30, 'trace_an': 0}
-
id: 26181030
{'hecke_orbit_code': 206208761964, 'n': 31, 'trace_an': 0}
-
id: 26181031
{'hecke_orbit_code': 206208761964, 'n': 32, 'trace_an': -32}
-
id: 26181032
{'hecke_orbit_code': 206208761964, 'n': 33, 'trace_an': 0}
-
id: 26181033
{'hecke_orbit_code': 206208761964, 'n': 34, 'trace_an': 16}
-
id: 26181034
{'hecke_orbit_code': 206208761964, 'n': 35, 'trace_an': 0}
-
id: 26181035
{'hecke_orbit_code': 206208761964, 'n': 36, 'trace_an': 0}
-
id: 26181036
{'hecke_orbit_code': 206208761964, 'n': 37, 'trace_an': -20}
-
id: 26181037
{'hecke_orbit_code': 206208761964, 'n': 38, 'trace_an': -36}
-
id: 26181038
{'hecke_orbit_code': 206208761964, 'n': 39, 'trace_an': 0}
-
id: 26181039
{'hecke_orbit_code': 206208761964, 'n': 40, 'trace_an': 112}
-
id: 26181040
{'hecke_orbit_code': 206208761964, 'n': 41, 'trace_an': -100}
-
id: 26181041
{'hecke_orbit_code': 206208761964, 'n': 42, 'trace_an': 0}
-
id: 26181042
{'hecke_orbit_code': 206208761964, 'n': 43, 'trace_an': 0}
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