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mf_newforms • Show schema
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{'Nk2': 1215, 'analytic_conductor': 3.6784835688640083, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, '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': [135, 2, [56, 82], [1, 1]], 'cm_discs': [], 'conrey_index': 134, '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': [[2, [1, 1]], [7, [36, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805836132487, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -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': True, 'label': '135.3.d.b', 'level': 135, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '135.3.d.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 4, 'qexp_display': 'q-q^{2}-3 q^{4}+(\\beta+4)q^{5}-2\\beta q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '135.3.d', 'trace_display': [-2, 0, 8, 0], 'trace_hash': 359114553223739688, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.107', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.996', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.241', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.973', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 'traces': [2, -2, 0, -6, 8, 0, 0, 14, 0, -8, 0, 0, 0, 0, 0, 10, 46, 0, 28, -24, 0, 0, -14, 0, 14, 0, 0, 0, 0, 0, -50, -66, 0, -46, 36, 0, 0, -28, 0, 56, 0, 0, 0, 0, 0, 14, -98, 0, 26, -14, 0, 0, 28, 0, -126, 0, 0, 0, 0, 0, 88, 50, 0, 26, -90, 0, 0, -138, 0, -36, 0, 0, 0, 0, 0, -84, 252, 0, -74, 40, 0, 0, 232, 0, 184, 0, 0, 0, 0, 0, 180, 42, 0, 98, 112, 0, 0, -26, 0, -42, 0, 0, 0, 0, 0, -28, -320, 0, -188, 126, 0, 0, 70, 0, -56, 0, 0, 0, 0, 0, -640, -88, 0, 150, -88, 0, 0, 238, 0, 90, 0, 0, 0, 0, 0, 322, 196, 0, 268, -108, 0, 0, -630, 0, -18, 0, 0, 0, 0, 0, 370, 196, 0, -252, -200, 0, 0, 74, 0, -264, 0, 0, 0, 0, 0, -232, -140, 0, -112, -184, 0, 0, -308, 0, 288, 0, 0, 0, 0, 0, 532, -180, 0, -98, 324, 0, 0, 294, 0, -112, 0, 0, 0, 0, 0, -78, -260, 0, -230, 98, 0, 0, 36, 0, -144, 0, 0, 0, 0, 0, -464, -84, 0, 320, 90, 0, 0, 188, 0, 378, 0, 0, 0, 0, 0, -70, 52, 0, 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-4480, 0, -468, 0, 0, 0, 0, 0, 440, 3094, 0, -5292, -312, 0, 0, 2842, 0, -1040, 0, 0, 0, 0, 0, 694, 1650, 0, -216, -920, 0, 0, -1228, 0, -616], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [0, 0], [-3, 0], [4, 1], [0, 0], [0, -2], [7, 0], [0, 0], [-4, -1], [0, 7], [0, 0], [0, 5], [0, 2], [0, 0], [5, 0], [23, 0], [0, 0], [14, 0], [-12, -3], [0, 0], [0, -7], [-7, 0], [0, 0], [7, 8], [0, -5], [0, 0], [0, 6], [0, 1], [0, 0], [-25, 0], [-33, 0], [0, 0], [-23, 0], [18, -8], [0, 0], [0, -18], [-14, 0], [0, 0], [28, 7], [0, 8], [0, 0], [0, -5], [0, -21], [0, 0], [7, 0], [-49, 0], [0, 0], [13, 0], [-7, -8], [0, 0], [0, -15], [14, 0], [0, 0], [-63, 28], [0, -14], [0, 0], [0, -1], [0, -10], [0, 0], [44, 0], [25, 0], [0, 0], [13, 0], [-45, 20], [0, 0], [0, -22], [-69, 0], [0, 0], [-18, 8], [0, 6], [0, 0], [0, 0], [0, 18], [0, 0], [-42, 0], [126, 0], [0, 0], [-37, 0], [20, 5], [0, 0], [0, -8], [116, 0], [0, 0], [92, 23], [0, 5], [0, 0], [0, 49], [0, 42], [0, 0], [90, 0], [21, 0], [0, 0], [49, 0], [56, 14], [0, 0], [0, -26], [-13, 0], [0, 0], [-21, -24]], 'ap': [[-1, 0], [0, 0], [4, 1], [0, -2], [0, 7], [0, 5], [23, 0], [14, 0], [-7, 0], [0, 1], [-25, 0], [0, -18], [0, 8], [0, -5], [-49, 0], [14, 0], [0, -10], [44, 0], [0, -22], [0, 6], [0, 0], [-37, 0], [116, 0], [0, 42], [0, -26], [0, 7], [0, -10], [-160, 0], [-94, 0], [35, 0], [0, 12], [0, -79], [98, 0], [134, 0], [0, -61], [185, 0], [0, 77], [0, -39], [-70, 0], [-154, 0], [0, -66], [266, 0], [0, -56], [0, -106], [-130, 0], [-115, 0], [-232, 0], [0, -98], [26, 0], [380, 0], [398, 0], [0, 14], [-73, 0], [0, 63], [155, 0], [-238, 0], [0, -87], [86, 0], [0, -50], [0, 118], [0, -34], [308, 0], [0, 93], [0, -112], [0, 112], [-406, 0], [140, 0], [0, -70], [-28, 0], [-190, 0], [-229, 0], [0, 72], [0, -56], [0, -49], [428, 0], [-421, 0], [0, 115], [0, -87], [0, 14], [-115, 0], [0, 161], [224, 0], [0, 150], [0, 114], [-406, 0], [512, 0], [0, 246], [0, -206], [0, -182], [0, 266], [-364, 0], [0, -140], [0, 84], [0, 230], [614, 0], [-175, 0], [0, -259], [0, -24], [0, -45], [56, 0], [0, 61], [236, 0], [-406, 0], [0, -224], [560, 0], [0, -288], [-280, 0], [-13, 0], [0, 116], [-55, 0], [0, 350], [0, 279], [137, 0], [878, 0], [-958, 0], [0, 262], [0, -79], [-670, 0], [-1168, 0], [0, -14], [-280, 0], [0, 28], [-904, 0], [1202, 0], [-460, 0], [0, -27], [-670, 0], [0, 0], [0, 82], [0, -214], [-130, 0], [17, 0], [1127, 0], [0, -9], [0, -124], [875, 0], [-868, 0], [0, 293], [38, 0], [0, -210], [-1024, 0], [0, -170], [0, -244], [896, 0], [1064, 0], [0, 280], [0, -77], [-910, 0], [110, 0], [-805, 0], [0, -235], [0, 246], [0, 546], [-547, 0], [0, 379], [0, -266], [677, 0], [0, -404], [0, -450], [0, -595], [224, 0], [497, 0], [0, -292], [0, 327], [1547, 0], [1421, 0], [347, 0], [0, 223]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503805836132487, 'hecke_ring_character_values': [[56, [-1, 0]], [82, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '135.3.d.b', 'level': 135, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1215, 'analytic_conductor': 3.6784835688640083, 'char_conductor': 15, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [135, 2, [56, 82], [1, 1]], 'conrey_index': 134, 'cusp_dim': 30, 'dim': 16, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 206208761991, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '135.3.d', 'level': 135, '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': [3, 5], 'level_radical': 15, 'mf_dim': 42, 'mf_new_dim': 16, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 16, 'sturm_bound': 54, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 30, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 110, 0, 0, -40, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -52, 0, 0, -218, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -98, 0, 0, 208, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 584, 0, 0, 4, 0, 0, 0, 0, 0, -450, 0, 0, 0, 0, 0, -894, 0, 0, -388, 0, 0, 0, 0, 0, 632, 0, 0, 0, 0, 0, -180, 0, 0, 616, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 1222, 0, 0, 500, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, -584, 0, 0, 258, 0, 0, 0, 0, 0, 1044, 0, 0, 0, 0, 0, -1456, 0, 0, -772, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 692, 0, 0, 252, 0, 0, 0, 0, 0, -2352, 0, 0, 0, 0, 0, -914, 0, 0, -1544, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, -760, 0, 0, 368, 0, 0, 0, 0, 0, 838, 0, 0, 0, 0, 0, 2874, 0, 0, -220, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -1312, 0, 0, 592, 0, 0, 0, 0, 0, 1242, 0, 0, 0, 0, 0, 2152, 0, 0, 596, 0, 0, 0, 0, 0, -868, 0, 0, 0, 0, 0, 2492, 0, 0, 330, 0, 0, 0, 0, 0, -1522, 0, 0, 0, 0, 0, -234, 0, 0, -972, 0, 0, 0, 0, 0, 1406, 0, 0, 0, 0, 0, -1588, 0, 0, 562, 0, 0, 0, 0, 0, 1530, 0, 0, 0, 0, 0, -468, 0, 0, 3144, 0, 0, 0, 0, 0, -1152, 0, 0, 0, 0, 0, -144, 0, 0, -2318, 0, 0, 0, 0, 0, -3452, 0, 0, 0, 0, 0, -2370, 0, 0, -36, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 1268, 0, 0, -7190, 0, 0, 0, 0, 0, 2094, 0, 0, 0, 0, 0, -2210, 0, 0, 1160, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 2280, 0, 0, 2808, 0, 0, 0, 0, 0, 972, 0, 0, 0, 0, 0, -1948, 0, 0, 3776, 0, 0, 0, 0, 0, 2394, 0, 0, 0, 0, 0, 1120, 0, 0, 934, 0, 0, 0, 0, 0, 2120, 0, 0, 0, 0, 0, -288, 0, 0, -952, 0, 0, 0, 0, 0, -346, 0, 0, 0, 0, 0, -2800, 0, 0, 1208, 0, 0, 0, 0, 0, -2664, 0, 0, 0, 0, 0, 186, 0, 0, -2944, 0, 0, 0, 0, 0, -2484, 0, 0, 0, 0, 0, -2232, 0, 0, -446, 0, 0, 0, 0, 0, 546, 0, 0, 0, 0, 0, -452, 0, 0, -2124, 0, 0, 0, 0, 0, 4364, 0, 0, 0, 0, 0, 972, 0, 0, 7950, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8170, 0, 0, 1316, 0, 0, 0, 0, 0, -5058, 0, 0, 0, 0, 0, -3240, 0, 0, -314, 0, 0, 0, 0, 0, 4032, 0, 0, 0, 0, 0, 5908, 0, 0, -672, 0, 0, 0, 0, 0, -358, 0, 0, 0, 0, 0, -3316, 0, 0, -8322, 0, 0, 0, 0, 0, 4014, 0, 0, 0, 0, 0, -8724, 0, 0, 6516, 0, 0, 0, 0, 0, -2620, 0, 0, 0, 0, 0, 7256, 0, 0, -360, 0, 0, 0, 0, 0, -7668, 0, 0, 0, 0, 0, 2746, 0, 0, -5684, 0, 0, 0, 0, 0, -3420, 0, 0, 0, 0, 0, 404, 0, 0, -13188, 0, 0, 0, 0, 0, 574, 0, 0, 0, 0, 0, 1476, 0, 0, 2708, 0, 0, 0, 0, 0, 3394, 0, 0, 0, 0, 0, 284, 0, 0, 7654, 0, 0, 0, 0, 0, -3544, 0, 0, 0, 0, 0, -6754, 0, 0, 5544, 0, 0, 0, 0, 0, 7650, 0, 0, 0, 0, 0, -4156, 0, 0, 6800, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 1938, 0, 0, -8136, 0, 0, 0, 0, 0, -1228, 0, 0, 0, 0, 0, -2836, 0, 0, -296, 0, 0, 0, 0, 0, -2214, 0, 0, 0, 0, 0, 7600, 0, 0, -9748, 0, 0, 0, 0, 0, -5904, 0, 0, 0, 0, 0, 2628, 0, 0, -30, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, -3426, 0, 0, 140, 0, 0, 0, 0, 0, 3438, 0, 0, 0, 0, 0, 8552, 0, 0, 15948, 0, 0, 0, 0, 0, 4724, 0, 0, 0, 0, 0, 7174, 0, 0, 9272, 0, 0, 0, 0, 0, -2362, 0, 0, 0, 0, 0, -2808, 0, 0, 2834, 0, 0, 0, 0, 0, 8242, 0, 0, 0, 0, 0, -3612, 0, 0, 844, 0, 0, 0, 0, 0, 2196, 0, 0, 0, 0, 0, -4072, 0, 0, -7776, 0, 0, 0, 0, 0, 8640, 0, 0, 0, 0, 0, -2304, 0, 0, 1148, 0, 0, 0, 0, 0, -928, 0, 0, 0, 0, 0, -1916, 0, 0, -14214, 0, 0, 0, 0, 0, -15350, 0, 0, 0, 0, 0, -8620, 0, 0, -4048, 0, 0, 0, 0, 0, -3694, 0, 0, 0, 0, 0, 612, 0, 0, -16234, 0, 0, 0, 0, 0, -990, 0, 0, 0, 0, 0, -4334, 0, 0, 5076, 0, 0, 0, 0, 0, 1566, 0, 0, 0, 0, 0, 1540, 0, 0, 18332, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, -11622, 0, 0, 5648, 0, 0, 0, 0, 0, 6804, 0, 0, 0, 0, 0, -1276, 0, 0, -1586, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 3708, 0, 0, -9396, 0, 0, 0, 0, 0, 9036, 0, 0, 0, 0, 0, 3036, 0, 0, 13614, 0, 0, 0, 0, 0, -9090, 0, 0, 0, 0, 0, 2890, 0, 0, -8640, 0, 0, 0, 0, 0, 2774, 0, 0, 0, 0, 0, -760, 0, 0, 864, 0, 0, 0, 0, 0, -9296], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 115339
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '135.3.d.b', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 115340
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '135.3.d.b', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 115341
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '135.3.d.e', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115342
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '135.3.d.e', 'target_level': 135, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115343
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '405.3.h.d', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 115344
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '405.3.h.d', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 115345
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.h.g', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 115346
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '405.3.h.g', 'target_level': 405, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 115347
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '675.3.c.l', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 115348
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '675.3.c.l', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 115349
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '675.3.c.m', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 115350
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '675.3.c.m', 'target_level': 675, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 115351
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.3.c.b', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115352
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.3.c.b', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 115353
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.3.c.e', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 115354
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '135.3.d.b', 'source_level': 135, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2160.3.c.e', 'target_level': 2160, 'twist_class_label': '135.3.d.b', 'twist_class_level': 135, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 369650
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 2}
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id: 369651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 3}
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id: 369652
{'charpoly_factorization': [[[25, -8, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 5}
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id: 369653
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 7}
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id: 369654
{'charpoly_factorization': [[[441, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 11}
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id: 369655
{'charpoly_factorization': [[[225, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 13}
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id: 369656
{'charpoly_factorization': [[[-23, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 17}
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id: 369657
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 19}
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id: 369658
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 23}
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id: 369659
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 29}
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id: 369660
{'charpoly_factorization': [[[25, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 31}
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id: 369661
{'charpoly_factorization': [[[2916, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 37}
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id: 369662
{'charpoly_factorization': [[[576, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 41}
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id: 369663
{'charpoly_factorization': [[[225, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 43}
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id: 369664
{'charpoly_factorization': [[[49, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 47}
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id: 369665
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 53}
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id: 369666
{'charpoly_factorization': [[[900, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 59}
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id: 369667
{'charpoly_factorization': [[[-44, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 61}
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id: 369668
{'charpoly_factorization': [[[4356, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 67}
-
id: 369669
{'charpoly_factorization': [[[324, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 71}
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id: 369670
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 73}
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id: 369671
{'charpoly_factorization': [[[37, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 79}
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id: 369672
{'charpoly_factorization': [[[-116, 1], 2]], 'hecke_orbit_code': 4503805836132487, 'p': 83}
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id: 369673
{'charpoly_factorization': [[[15876, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 89}
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id: 369674
{'charpoly_factorization': [[[6084, 0, 1], 1]], 'hecke_orbit_code': 4503805836132487, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '135.3.d.b', 'level': 135, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 21648757
{'hecke_orbit_code': 4503805836132487, 'n': 1, 'trace_an': 2}
-
id: 21648758
{'hecke_orbit_code': 4503805836132487, 'n': 2, 'trace_an': -2}
-
id: 21648759
{'hecke_orbit_code': 4503805836132487, 'n': 3, 'trace_an': 0}
-
id: 21648760
{'hecke_orbit_code': 4503805836132487, 'n': 4, 'trace_an': -6}
-
id: 21648761
{'hecke_orbit_code': 4503805836132487, 'n': 5, 'trace_an': 8}
-
id: 21648762
{'hecke_orbit_code': 4503805836132487, 'n': 6, 'trace_an': 0}
-
id: 21648763
{'hecke_orbit_code': 4503805836132487, 'n': 7, 'trace_an': 0}
-
id: 21648764
{'hecke_orbit_code': 4503805836132487, 'n': 8, 'trace_an': 14}
-
id: 21648765
{'hecke_orbit_code': 4503805836132487, 'n': 9, 'trace_an': 0}
-
id: 21648766
{'hecke_orbit_code': 4503805836132487, 'n': 10, 'trace_an': -8}
-
id: 21648767
{'hecke_orbit_code': 4503805836132487, 'n': 11, 'trace_an': 0}
-
id: 21648768
{'hecke_orbit_code': 4503805836132487, 'n': 12, 'trace_an': 0}
-
id: 21648769
{'hecke_orbit_code': 4503805836132487, 'n': 13, 'trace_an': 0}
-
id: 21648770
{'hecke_orbit_code': 4503805836132487, 'n': 14, 'trace_an': 0}
-
id: 21648771
{'hecke_orbit_code': 4503805836132487, 'n': 15, 'trace_an': 0}
-
id: 21648772
{'hecke_orbit_code': 4503805836132487, 'n': 16, 'trace_an': 10}
-
id: 21648773
{'hecke_orbit_code': 4503805836132487, 'n': 17, 'trace_an': 46}
-
id: 21648774
{'hecke_orbit_code': 4503805836132487, 'n': 18, 'trace_an': 0}
-
id: 21648775
{'hecke_orbit_code': 4503805836132487, 'n': 19, 'trace_an': 28}
-
id: 21648776
{'hecke_orbit_code': 4503805836132487, 'n': 20, 'trace_an': -24}
-
id: 21648777
{'hecke_orbit_code': 4503805836132487, 'n': 21, 'trace_an': 0}
-
id: 21648778
{'hecke_orbit_code': 4503805836132487, 'n': 22, 'trace_an': 0}
-
id: 21648779
{'hecke_orbit_code': 4503805836132487, 'n': 23, 'trace_an': -14}
-
id: 21648780
{'hecke_orbit_code': 4503805836132487, 'n': 24, 'trace_an': 0}
-
id: 21648781
{'hecke_orbit_code': 4503805836132487, 'n': 25, 'trace_an': 14}
-
id: 21648782
{'hecke_orbit_code': 4503805836132487, 'n': 26, 'trace_an': 0}
-
id: 21648783
{'hecke_orbit_code': 4503805836132487, 'n': 27, 'trace_an': 0}
-
id: 21648784
{'hecke_orbit_code': 4503805836132487, 'n': 28, 'trace_an': 0}
-
id: 21648785
{'hecke_orbit_code': 4503805836132487, 'n': 29, 'trace_an': 0}
-
id: 21648786
{'hecke_orbit_code': 4503805836132487, 'n': 30, 'trace_an': 0}
-
id: 21648787
{'hecke_orbit_code': 4503805836132487, 'n': 31, 'trace_an': -50}
-
id: 21648788
{'hecke_orbit_code': 4503805836132487, 'n': 32, 'trace_an': -66}
-
id: 21648789
{'hecke_orbit_code': 4503805836132487, 'n': 33, 'trace_an': 0}
-
id: 21648790
{'hecke_orbit_code': 4503805836132487, 'n': 34, 'trace_an': -46}
-
id: 21648791
{'hecke_orbit_code': 4503805836132487, 'n': 35, 'trace_an': 36}
-
id: 21648792
{'hecke_orbit_code': 4503805836132487, 'n': 36, 'trace_an': 0}
-
id: 21648793
{'hecke_orbit_code': 4503805836132487, 'n': 37, 'trace_an': 0}
-
id: 21648794
{'hecke_orbit_code': 4503805836132487, 'n': 38, 'trace_an': -28}
-
id: 21648795
{'hecke_orbit_code': 4503805836132487, 'n': 39, 'trace_an': 0}
-
id: 21648796
{'hecke_orbit_code': 4503805836132487, 'n': 40, 'trace_an': 56}
-
id: 21648797
{'hecke_orbit_code': 4503805836132487, 'n': 41, 'trace_an': 0}
-
id: 21648798
{'hecke_orbit_code': 4503805836132487, 'n': 42, 'trace_an': 0}
-
id: 21648799
{'hecke_orbit_code': 4503805836132487, 'n': 43, 'trace_an': 0}
-
id: 21648800
{'hecke_orbit_code': 4503805836132487, 'n': 44, 'trace_an': 0}
-
id: 21648801
{'hecke_orbit_code': 4503805836132487, 'n': 45, 'trace_an': 0}
-
id: 21648802
{'hecke_orbit_code': 4503805836132487, 'n': 46, 'trace_an': 14}
-
id: 21648803
{'hecke_orbit_code': 4503805836132487, 'n': 47, 'trace_an': -98}
-
id: 21648804
{'hecke_orbit_code': 4503805836132487, 'n': 48, 'trace_an': 0}
-
id: 21648805
{'hecke_orbit_code': 4503805836132487, 'n': 49, 'trace_an': 26}
-
id: 21648806
{'hecke_orbit_code': 4503805836132487, 'n': 50, 'trace_an': -14}
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id: 21648807
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id: 21649007
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id: 21649008
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id: 21649009
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id: 21649010
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id: 21649011
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id: 21649012
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id: 21649013
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id: 21649014
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