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mf_newforms • Show schema
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{'Nk2': 1728, 'analytic_conductor': 3.4495373673193126, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 9, 'char_parity': 1, 'char_values': [432, 9, [271, 325, 353], [9, 9, 7]], 'cm_discs': [], 'conrey_index': 49, 'dim': 12, 'field_disc': 1952986685049, 'field_disc_factorization': [[3, 18], [71, 2]], 'field_poly': [3, -27, 108, -258, 420, -504, 463, -330, 186, -80, 27, -6, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, -135, 837, 1287, 1521, 1008, 303, -63, -63, -12, 3, 3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008573677830576, 'hecke_ring_generator_nbound': 7, '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1728, 'analytic_conductor': 3.4495373673193126, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 9, 'char_parity': 1, 'char_values': [432, 9, [271, 325, 353], [9, 9, 7]], 'conrey_index': 49, 'cusp_dim': 396, 'dim': 102, 'eis_dim': 72, 'eis_new_dim': 12, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1374423089584, 'hecke_orbit_dims': [6, 12, 12, 18, 24, 30], 'label': '432.2.u', 'level': 432, 'level_is_powerful': True, '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], 'level_radical': 6, 'mf_dim': 468, 'mf_new_dim': 114, 'num_forms': 6, 'prim_orbit_index': 5, 'relative_dim': 17, 'sturm_bound': 144, 'trace_bound': 3, 'trace_display': [0, 6, -6, 6], 'traces': [102, 0, 6, 0, -6, 0, 6, 0, -6, 0, 6, 0, -6, 0, 6, 0, -3, 0, 3, 0, -6, 0, 6, 0, -6, 0, 24, 0, -18, 0, 6, 0, 0, 0, 39, 0, -3, 0, 42, 0, 0, 0, 6, 0, -18, 0, 24, 0, -6, 0, -3, 0, -12, 0, 12, 0, -3, 0, -12, 0, -6, 0, -24, 0, -30, 0, 6, 0, -30, 0, -39, 0, -3, 0, -36, 0, -30, 0, 6, 0, -30, 0, -24, 0, 9, 0, -12, 0, 3, 0, 3, 0, -6, 0, -117, 0, -24, 0, -102, 0, -78, 0, 60, 0, 75, 0, -96, 0, -12, 0, -111, 0, 66, 0, 60, 0, -78, 0, -123, 0, -24, 0, -120, 0, -3, 0, 3, 0, 18, 0, -42, 0, 15, 0, -54, 0, 24, 0, 6, 0, -6, 0, -57, 0, -3, 0, -54, 0, -6, 0, 6, 0, 51, 0, -36, 0, -6, 0, 30, 0, 12, 0, 12, 0, -60, 0, 78, 0, -6, 0, 51, 0, -54, 0, -9, 0, 30, 0, 93, 0, -3, 0, 96, 0, 45, 0, -27, 0, -30, 0, 138, 0, -24, 0, 192, 0, 33, 0, 3, 0, 78, 0, 192, 0, -42, 0, 180, 0, 111, 0, -48, 0, 75, 0, 180, 0, -12, 0, 165, 0, 105, 0, -48, 0, 54, 0, 216, 0, -42, 0, 228, 0, 33, 0, 3, 0, 126, 0, 174, 0, -24, 0, 156, 0, 39, 0, -33, 0, -54, 0, 129, 0, -3, 0, 87, 0, -48, 0, -15, 0, 30, 0, 36, 0, -36, 0, 3, 0, 108, 0, 12, 0, -9, 0, 36, 0, -6, 0, -18, 0, -6, 0, 6, 0, 123, 0, -81, 0, -6, 0, -150, 0, 126, 0, -102, 0, -42, 0, -216, 0, 66, 0, -228, 0, -27, 0, 57, 0, 150, 0, -240, 0, -42, 0, -369, 0, 126, 0, -210, 0, -138, 0, -234, 0, -12, 0, -162, 0, -162, 0, -210, 0, 69, 0, -360, 0, -42, 0, -264, 0, 45, 0, 57, 0, -114, 0, -252, 0, 66, 0, -246, 0, -126, 0, -117, 0, 21, 0, -147, 0, 0, 0, -54, 0, -63, 0, 6, 0, -108, 0, 30, 0, -6, 0, -27, 0, -132, 0, 12, 0, -45, 0, 6, 0, -15, 0, 72, 0, 42, 0, -45, 0, -108, 0, 189, 0, -3, 0, 213, 0, -132, 0, -48, 0, 90, 0, 273, 0, 12, 0, 324, 0, -3, 0, 3, 0, -210, 0, 300, 0, -6, 0, 288, 0, -69, 0, -84, 0, -21, 0, 372, 0, -12, 0, 375, 0, 15, 0, -84, 0, -54, 0, 342, 0, 9, 0, 300, 0, -75, 0, 3, 0, -90, 0, 342, 0, 12, 0, 201, 0, -66, 0, -48, 0, -78, 0, 189, 0, -3, 0, 132, 0, -30, 0, -51, 0, -156, 0, -12, 0, 33, 0, 84, 0, -180, 0, 12, 0, -24, 0, -24, 0, 45, 0, 18, 0, 27, 0, 60, 0, -114, 0, -213, 0, -3, 0, -318, 0, -270, 0, 93, 0, 111, 0, -432, 0, -6, 0, -438, 0, 69, 0, 3, 0, -285, 0, -471, 0, -78, 0, -348, 0, -18, 0, 198, 0, 159, 0, -480, 0, -12, 0, -471, 0, 156, 0, 168, 0, 78, 0, -363, 0, -78, 0, -483, 0, -123, 0, 3, 0, 267, 0, -426, 0, -6, 0, -384, 0, 216, 0, 114, 0, -90, 0, -249, 0, -3, 0, -228, 0, 42, 0, 126, 0, 150, 0, -96, 0, 51, 0, 51, 0, 144, 0, -90, 0, 75, 0, 84, 0, 30, 0, 156, 0, 36, 0, 114, 0, 186, 0, 267, 0, -3, 0, 330, 0, 174, 0, 186, 0, 42, 0, 381, 0, 153, 0, 327, 0, 147, 0, 3, 0, 258, 0, 507, 0, 159, 0, 405, 0, 84, 0, 258, 0, 180, 0, 432, 0, -120, 0, 570, 0, 150, 0, 258, 0, 87, 0, 432, 0, 138, 0, 417, 0, 207, 0, 3, 0, 90, 0, 354, 0, 138, 0, 426, 0, 222, 0, 186, 0, 90, 0, 207, 0, -3, 0, 138, 0, -24, 0, 114, 0, 222, 0, 168, 0, 81, 0, 63, 0, -12, 0, -102, 0, -69, 0, -192, 0, -42, 0, -210, 0, -6, 0, 177, 0, 138, 0, -327, 0, -3, 0, -360, 0, 237, 0, 168, 0, -84, 0, -369, 0, -78, 0, -543, 0, -63, 0, 3, 0, 183, 0, -426, 0, 30, 0, -660, 0, 96, 0, 168, 0, -255, 0, -672, 0, -12, 0, -675, 0, -270, 0, 210, 0, 153, 0, -636, 0, 30, 0, -438, 0, 81, 0, 3, 0, -147, 0, -465, 0, -45, 0, -234, 0, -330, 0, 168, 0, 78, 0, -315, 0, -3, 0, -222, 0, 198, 0, 63, 0, -195, 0, -141, 0, -3, 0, -138, 0, -204, 0, 12, 0, -72, 0, 216, 0, 69, 0, 243, 0, -282, 0, -84, 0, -372, 0, 255, 0, -3, 0, 258, 0, -201, 0, -120, 0, -318, 0, 396, 0, 30, 0, 426, 0, -231, 0, 3, 0, -144, 0, 495, 0, 102, 0, 687, 0, -90, 0, -138, 0, -285, 0, 588, 0, -12, 0, 504, 0, -438, 0, -138, 0, -30, 0, 666, 0, 102, 0, 570, 0, -117, 0, 3, 0, -486, 0, 324, 0, 51, 0, 414, 0, -357, 0, -135, 0, -42, 0, 381, 0, -54, 0, 372, 0, -15, 0, -84, 0, -390, 0, 270, 0, 48, 0, -3, 0, -492, 0, -96, 0, 81, 0, -171, 0, 69, 0, -144, 0, 102, 0, -375, 0, -414, 0, -294, 0, 51, 0, -180, 0, -150, 0, -318, 0, 231, 0, -426, 0, -183, 0, -504, 0, 105, 0, -159, 0, -162, 0, -582, 0, 210, 0, -402, 0, -462, 0, -318, 0, 180, 0, -804, 0, -12, 0, -828, 0, 162, 0, -351, 0, -480, 0, -414, 0, 225, 0, -570, 0, -99, 0, -159, 0, 258, 0, -471, 0, -222, 0, -489, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41587489
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.97.1', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41587490
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 16, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.16.2', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41587491
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 46, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.46.1', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41587492
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41587493
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 124, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.124.3', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 41587494
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 151, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.151.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 41587495
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.49.1', 'target_level': 432, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 41587496
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 41587497
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41587498
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.55.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 41587499
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 55, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.55.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 41587500
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 41587501
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41587502
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 41587503
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 41587504
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 41587505
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 41587506
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.37.1', 'target_level': 81, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 41587507
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.190.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 41587508
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.3', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 41587509
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.4', 'target_level': 729, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 41587510
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 190, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.190.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 41587511
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 22, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.22.2', 'target_level': 27, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '108.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 41587512
{'conductor': 540, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.3', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '540.103', 'twisting_conrey_index': 103, 'weight': 2}
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id: 41587513
{'conductor': 540, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 76, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.76.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '540.319', 'twisting_conrey_index': 319, 'weight': 2}
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id: 41587514
{'conductor': 540, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008573677830576, 'source_is_minimal': False, 'source_label': '432.2.u.c.97.1', 'source_level': 432, 'target_conrey_index': 49, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.49.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.16.2', 'twist_class_level': 27, 'twisting_char_label': '540.427', 'twisting_conrey_index': 427, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 874750
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9008573677830576, 'p': 2}
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id: 874751
{'charpoly_factorization': [[[729, -1458, 1458, -1053, 567, -243, 117, -81, 63, -39, 18, -6, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 3}
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id: 874752
{'charpoly_factorization': [[[9, -135, 837, 1287, 1521, 1008, 303, -63, -63, -12, 3, 3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 5}
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id: 874753
{'charpoly_factorization': [[[289, 816, 888, 758, 639, -225, 273, -225, 18, 11, 12, -6, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 7}
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id: 874754
{'charpoly_factorization': [[[9, 27, 108, 531, 495, -1341, 1491, -657, 261, 6, -15, 3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 11}
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id: 874755
{'charpoly_factorization': [[[1, 84, 2994, -2675, -3546, 873, 3729, 2223, 747, 214, 48, 6, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 13}
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id: 874756
{'charpoly_factorization': [[[729, -2187, 8019, 1458, 7047, -1701, 2727, -567, 621, -189, 72, -9, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 17}
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id: 874757
{'charpoly_factorization': [[[361, -2280, 11208, -21604, 33354, -873, 6162, -252, 846, 14, 39, -3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 19}
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id: 874758
{'charpoly_factorization': [[[106929, -264870, 322812, -288216, 170838, -32220, 22713, 774, -1440, 192, 48, -12, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 23}
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id: 874759
{'charpoly_factorization': [[[45369, -203202, 341037, -619236, 1278324, 188802, -4044, -10206, 423, -96, 21, 6, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 29}
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id: 874760
{'charpoly_factorization': [[[26569, 77262, 73617, 6158, -29034, -14481, 3810, 4365, 1881, 434, 84, 3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 31}
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id: 874761
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 37}
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id: 874762
{'charpoly_factorization': [[[11229201, 15350931, 16475103, 10695744, 2682513, -178299, -57801, 8208, 4797, -705, 93, -15, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 41}
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id: 874763
{'charpoly_factorization': [[[3308761, 4709391, 49059204, 4380266, -386325, -386325, 10965, 963, 2799, -16, -60, 3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 43}
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id: 874764
{'charpoly_factorization': [[[42732369, 17296902, 4549149, -1182393, 1192761, -676449, 29409, 30357, -927, 114, 111, -15, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 47}
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id: 874765
{'charpoly_factorization': [[[-12393, -2916, 4617, -513, -108, 9, 1], 2]], 'hecke_orbit_code': 9008573677830576, 'p': 53}
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id: 874766
{'charpoly_factorization': [[[176384961, 170448354, 29313684, -10115676, 2890305, 2031741, 256911, 36189, 5796, -933, 192, -12, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 59}
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id: 874767
{'charpoly_factorization': [[[273670849, -12754653, 226908411, 81354967, -9276372, -1547091, 1238790, -134964, 19512, 34, -51, -12, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 61}
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id: 874768
{'charpoly_factorization': [[[8288641, 13275069, 5116533, -7604980, -2980269, 1780641, 660099, -86274, 23913, -2365, 255, -15, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 67}
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id: 874769
{'charpoly_factorization': [[[729, -6561, 78003, 144342, 604827, -231093, 400761, 147015, 38205, 5103, 504, 27, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 71}
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id: 874770
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 73}
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id: 874771
{'charpoly_factorization': [[[3508129, 1848651, -6043107, -15614746, 26778888, -7412832, 2309097, -487872, 78291, -9520, 813, -42, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 79}
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id: 874772
{'charpoly_factorization': [[[6951057129, 10578532986, 7328037465, 3047714604, 853146414, 170563383, 25416024, 2898477, 256059, 17196, 912, 39, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 83}
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id: 874773
{'charpoly_factorization': [[[1062042921, -992530584, 765665784, -218178036, 61794900, -6160293, 1737990, -125712, 36666, -432, 261, -9, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 89}
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id: 874774
{'charpoly_factorization': [[[66765241, 21154719, 532756806, -381413396, 112050423, -14303619, 35103, 185823, -11349, -1010, 102, -3, 1], 1]], 'hecke_orbit_code': 9008573677830576, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 21, 'hecke_orbit': 3, 'label': '432.2.u.c', 'level': 432, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31919737
{'hecke_orbit_code': 9008573677830576, 'n': 1, 'trace_an': 12}
-
id: 31919738
{'hecke_orbit_code': 9008573677830576, 'n': 2, 'trace_an': 0}
-
id: 31919739
{'hecke_orbit_code': 9008573677830576, 'n': 3, 'trace_an': 6}
-
id: 31919740
{'hecke_orbit_code': 9008573677830576, 'n': 4, 'trace_an': 0}
-
id: 31919741
{'hecke_orbit_code': 9008573677830576, 'n': 5, 'trace_an': -3}
-
id: 31919742
{'hecke_orbit_code': 9008573677830576, 'n': 6, 'trace_an': 0}
-
id: 31919743
{'hecke_orbit_code': 9008573677830576, 'n': 7, 'trace_an': 6}
-
id: 31919744
{'hecke_orbit_code': 9008573677830576, 'n': 8, 'trace_an': 0}
-
id: 31919745
{'hecke_orbit_code': 9008573677830576, 'n': 9, 'trace_an': 0}
-
id: 31919746
{'hecke_orbit_code': 9008573677830576, 'n': 10, 'trace_an': 0}
-
id: 31919747
{'hecke_orbit_code': 9008573677830576, 'n': 11, 'trace_an': -3}
-
id: 31919748
{'hecke_orbit_code': 9008573677830576, 'n': 12, 'trace_an': 0}
-
id: 31919749
{'hecke_orbit_code': 9008573677830576, 'n': 13, 'trace_an': -6}
-
id: 31919750
{'hecke_orbit_code': 9008573677830576, 'n': 14, 'trace_an': 0}
-
id: 31919751
{'hecke_orbit_code': 9008573677830576, 'n': 15, 'trace_an': -9}
-
id: 31919752
{'hecke_orbit_code': 9008573677830576, 'n': 16, 'trace_an': 0}
-
id: 31919753
{'hecke_orbit_code': 9008573677830576, 'n': 17, 'trace_an': 9}
-
id: 31919754
{'hecke_orbit_code': 9008573677830576, 'n': 18, 'trace_an': 0}
-
id: 31919755
{'hecke_orbit_code': 9008573677830576, 'n': 19, 'trace_an': 3}
-
id: 31919756
{'hecke_orbit_code': 9008573677830576, 'n': 20, 'trace_an': 0}
-
id: 31919757
{'hecke_orbit_code': 9008573677830576, 'n': 21, 'trace_an': -12}
-
id: 31919758
{'hecke_orbit_code': 9008573677830576, 'n': 22, 'trace_an': 0}
-
id: 31919759
{'hecke_orbit_code': 9008573677830576, 'n': 23, 'trace_an': 12}
-
id: 31919760
{'hecke_orbit_code': 9008573677830576, 'n': 24, 'trace_an': 0}
-
id: 31919761
{'hecke_orbit_code': 9008573677830576, 'n': 25, 'trace_an': 3}
-
id: 31919762
{'hecke_orbit_code': 9008573677830576, 'n': 26, 'trace_an': 0}
-
id: 31919763
{'hecke_orbit_code': 9008573677830576, 'n': 27, 'trace_an': 9}
-
id: 31919764
{'hecke_orbit_code': 9008573677830576, 'n': 28, 'trace_an': 0}
-
id: 31919765
{'hecke_orbit_code': 9008573677830576, 'n': 29, 'trace_an': -6}
-
id: 31919766
{'hecke_orbit_code': 9008573677830576, 'n': 30, 'trace_an': 0}
-
id: 31919767
{'hecke_orbit_code': 9008573677830576, 'n': 31, 'trace_an': -3}
-
id: 31919768
{'hecke_orbit_code': 9008573677830576, 'n': 32, 'trace_an': 0}
-
id: 31919769
{'hecke_orbit_code': 9008573677830576, 'n': 33, 'trace_an': 0}
-
id: 31919770
{'hecke_orbit_code': 9008573677830576, 'n': 34, 'trace_an': 0}
-
id: 31919771
{'hecke_orbit_code': 9008573677830576, 'n': 35, 'trace_an': -12}
-
id: 31919772
{'hecke_orbit_code': 9008573677830576, 'n': 36, 'trace_an': 0}
-
id: 31919773
{'hecke_orbit_code': 9008573677830576, 'n': 37, 'trace_an': -3}
-
id: 31919774
{'hecke_orbit_code': 9008573677830576, 'n': 38, 'trace_an': 0}
-
id: 31919775
{'hecke_orbit_code': 9008573677830576, 'n': 39, 'trace_an': -33}
-
id: 31919776
{'hecke_orbit_code': 9008573677830576, 'n': 40, 'trace_an': 0}
-
id: 31919777
{'hecke_orbit_code': 9008573677830576, 'n': 41, 'trace_an': 15}
-
id: 31919778
{'hecke_orbit_code': 9008573677830576, 'n': 42, 'trace_an': 0}
-
id: 31919779
{'hecke_orbit_code': 9008573677830576, 'n': 43, 'trace_an': -3}
-
id: 31919780
{'hecke_orbit_code': 9008573677830576, 'n': 44, 'trace_an': 0}
-
id: 31919781
{'hecke_orbit_code': 9008573677830576, 'n': 45, 'trace_an': -9}
-
id: 31919782
{'hecke_orbit_code': 9008573677830576, 'n': 46, 'trace_an': 0}
-
id: 31919783
{'hecke_orbit_code': 9008573677830576, 'n': 47, 'trace_an': 15}
-
id: 31919784
{'hecke_orbit_code': 9008573677830576, 'n': 48, 'trace_an': 0}
-
id: 31919785
{'hecke_orbit_code': 9008573677830576, 'n': 49, 'trace_an': 12}
-
id: 31919786
{'hecke_orbit_code': 9008573677830576, 'n': 50, 'trace_an': 0}
-
id: 31919787
{'hecke_orbit_code': 9008573677830576, 'n': 51, 'trace_an': 18}
-
id: 31919788
{'hecke_orbit_code': 9008573677830576, 'n': 52, 'trace_an': 0}
-
id: 31919789
{'hecke_orbit_code': 9008573677830576, 'n': 53, 'trace_an': -18}
-
id: 31919790
{'hecke_orbit_code': 9008573677830576, 'n': 54, 'trace_an': 0}
-
id: 31919791
{'hecke_orbit_code': 9008573677830576, 'n': 55, 'trace_an': 12}
-
id: 31919792
{'hecke_orbit_code': 9008573677830576, 'n': 56, 'trace_an': 0}
-
id: 31919793
{'hecke_orbit_code': 9008573677830576, 'n': 57, 'trace_an': -3}
-
id: 31919794
{'hecke_orbit_code': 9008573677830576, 'n': 58, 'trace_an': 0}
-
id: 31919795
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