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mf_newforms • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], 'dim': 6, 'field_disc': -148347072, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 3], [293, 2]], 'field_poly': [243, 0, 223, 0, 29, 0, 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': [[2, [324, -252, 214, -22, 15, -1, 1]], [7, [260499600, -10458720, 823404, -16080, 1273, -25, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90072267492426133, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 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mf_hecke_nf • Show schema
Hide schema
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7779, -6191, -581, 0], [4830, 0, 0, -3523, 4659, -4659], [0, 5815, 28772, -5815, -69, 0], [-5919, 0, 0, -521, 5229, -5229], [9902, 0, 0, -4128, -1452, 1452], [0, 6477, -6264, -6477, -3771, 0], [11234, 5972, 11234, 0, 0, 3472], [-7589, 7325, -7589, 0, 0, 313], [-1323, 0, 0, 4229, -3337, 3337], [-20503, 2707, -20503, 0, 0, -265], [-538, 0, 0, -38, 3450, -3450], [0, -6988, 20962, 6988, -1316, 0], [29902, 4734, 29902, 0, 0, -470], [14336, 0, 0, 9952, 2212, -2212], [0, 7398, -1738, -7398, -3162, 0], [-21121, 0, 0, -3252, -3956, 3956], [0, -4286, 5272, 4286, -746, 0], [2766, 1998, 2766, 0, 0, 5622], [5595, 0, 0, 8259, -5431, 5431], [-23418, -3253, -23418, 0, 0, -5569]], 'char_orbit_index': 5, 'field_poly': [243, 0, 223, 0, 29, 0, 1], 'hecke_orbit_code': 90072267492426133, 'hecke_ring_character_values': [[326, [0, 0, 1, 0, 0, 0]], [82, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 4, 72, 2, 72, 72], 'hecke_ring_inverse_denominators': [1, 3, 1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, 0, 2, 0, 1, 1], [-9, 0, 0, 2, 0, 0], [-13, 12, -26, -6, -13, -13], [121, 0, 0, -32, -4, 4], [289, -240, 578, 120, 181, 181]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [9, 13, 1, 1, 0, 0], [-36, 79, 0, 20, 0, 1], [9, 0, 1, 0, 0, 0], [-207, 29, -144, -20, -9, -1], [207, 29, 144, -20, 9, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '405.4.e.u', 'level': 405, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 300, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 274945016213, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 6, 6, 12, 12], 'label': '405.4.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 348, 'mf_new_dim': 96, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -60], 'traces': [96, 0, 0, -192, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, -768, 0, 0, -960, 0, 0, 72, 0, 0, -1200, 0, 0, 1920, 0, 0, -600, 0, 0, -1350, 0, 0, -1680, 0, 0, -450, 0, 0, 156, 0, 0, -1188, 0, 0, -756, 0, 0, 3756, 0, 0, 0, 0, 0, 1188, 0, 0, 84, 0, 0, 1644, 0, 0, -1464, 0, 0, -360, 0, 0, -5064, 0, 0, 9750, 0, 0, 3036, 0, 0, 6984, 0, 0, 720, 0, 0, 864, 0, 0, -14088, 0, 0, -3924, 0, 0, 2532, 0, 0, 9600, 0, 0, -132, 0, 0, 11790, 0, 0, 24816, 0, 0, -4380, 0, 0, 0, 0, 0, -1512, 0, 0, -9084, 0, 0, -4830, 0, 0, -21840, 0, 0, 0, 0, 0, -3612, 0, 0, 22680, 0, 0, -7620, 0, 0, -11268, 0, 0, 6120, 0, 0, 9228, 0, 0, -7296, 0, 0, -9360, 0, 0, 10668, 0, 0, -3600, 0, 0, -20688, 0, 0, 12474, 0, 0, -7056, 0, 0, 2064, 0, 0, -1500, 0, 0, 1188, 0, 0, -10104, 0, 0, -6012, 0, 0, 3960, 0, 0, -26100, 0, 0, -5100, 0, 0, -30456, 0, 0, -16080, 0, 0, -31572, 0, 0, 3780, 0, 0, 19488, 0, 0, 10344, 0, 0, -360, 0, 0, -14016, 0, 0, 9360, 0, 0, 33888, 0, 0, 22968, 0, 0, 28848, 0, 0, 12600, 0, 0, -10440, 0, 0, -29880, 0, 0, -13056, 0, 0, -50604, 0, 0, 16980, 0, 0, 0, 0, 0, -576, 0, 0, 9888, 0, 0, 1500, 0, 0, 95184, 0, 0, 0, 0, 0, -13452, 0, 0, 21360, 0, 0, -7830, 0, 0, 20316, 0, 0, 8640, 0, 0, 11028, 0, 0, 36, 0, 0, 21912, 0, 0, -132, 0, 0, -11700, 0, 0, 54864, 0, 0, -48504, 0, 0, 89562, 0, 0, 55272, 0, 0, 1710, 0, 0, -2004, 0, 0, -37356, 0, 0, -17100, 0, 0, -5112, 0, 0, -6000, 0, 0, 36252, 0, 0, 3396, 0, 0, -41868, 0, 0, -9996, 0, 0, 38070, 0, 0, 13560, 0, 0, -38862, 0, 0, -17700, 0, 0, -193320, 0, 0, 7920, 0, 0, -25380, 0, 0, 135720, 0, 0, 96504, 0, 0, 17148, 0, 0, 20880, 0, 0, -19896, 0, 0, 43524, 0, 0, 82128, 0, 0, 17100, 0, 0, -10080, 0, 0, -171960, 0, 0, 62928, 0, 0, -61902, 0, 0, -104136, 0, 0, -19200, 0, 0, -73704, 0, 0, -257472, 0, 0, -8952, 0, 0, -143412, 0, 0, -1440, 0, 0, -89532, 0, 0, 444, 0, 0, 31392, 0, 0, 61836, 0, 0, 11880, 0, 0, 238512, 0, 0, -21930, 0, 0, 32052, 0, 0, 261216, 0, 0, -39060, 0, 0, -58344, 0, 0, 116352, 0, 0, -50382, 0, 0, -75048, 0, 0, 1980, 0, 0, -16260, 0, 0, 113184, 0, 0, -187032, 0, 0, -2736, 0, 0, 12000, 0, 0, -106920, 0, 0, -68772, 0, 0, -42636, 0, 0, -152376, 0, 0, 39060, 0, 0, 39456, 0, 0, -150396, 0, 0, -708, 0, 0, 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0, 0, -328008, 0, 0, -123378, 0, 0, -45168, 0, 0, 37800, 0, 0, 213348, 0, 0, -179442, 0, 0, -258648, 0, 0, -340344, 0, 0, 82980, 0, 0, -209664, 0, 0, 112692, 0, 0, 87228, 0, 0, -135024, 0, 0, 183780, 0, 0, 98016, 0, 0, 688428, 0, 0, 132744, 0, 0, -183984, 0, 0, 30000, 0, 0, -161424, 0, 0, 229032, 0, 0, 414432, 0, 0, -358224, 0, 0, 30510, 0, 0, -497064, 0, 0, 341076, 0, 0, -227268, 0, 0, 20232, 0, 0, -89640, 0, 0, -698724, 0, 0, -555648, 0, 0, -142848, 0, 0, -206976, 0, 0, -70560, 0, 0, -188772, 0, 0, -98424, 0, 0, -43512, 0, 0, 121044, 0, 0, -43920, 0, 0, 816480, 0, 0, -155892, 0, 0, 125058, 0, 0, 544872, 0, 0, -33750, 0, 0, 2496, 0, 0, 164448, 0, 0, 10416, 0, 0, 101160, 0, 0, -17280, 0, 0, 169548, 0, 0, -9948, 0, 0, -519084, 0, 0, 104448, 0, 0, 136980, 0, 0, 249744, 0, 0, -99990, 0, 0, -132456, 0, 0, -723696, 0, 0, 138060, 0, 0, 420408, 0, 0, 2592, 0, 0, 56808, 0, 0, 56856, 0, 0, -37080, 0, 0, -133920, 0, 0, 417594, 0, 0, -37320, 0, 0, -5040, 0, 0, 21000, 0, 0, -2016, 0, 0, 161748, 0, 0, -112446, 0, 0, 284952, 0, 0, 4320, 0, 0, -210528, 0, 0, -17928, 0, 0, 69036, 0, 0, 379980, 0, 0, -106560, 0, 0, 208836, 0, 0, 47988, 0, 0, -962124, 0, 0, -62412, 0, 0, -203040, 0, 0, -122952, 0, 0, -151530, 0, 0, 87048, 0, 0, -30816, 0, 0, -87120, 0, 0, 401892, 0, 0, 251400, 0, 0, 231480, 0, 0, 163596, 0, 0, 22500], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 304405
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '405.4.a.g', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 304406
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '405.4.a.i', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 304407
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '405.4.e.s', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 304408
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '405.4.e.s', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 304409
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '405.4.e.u', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 304410
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '405.4.e.u', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 304411
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2025.4.a.p', 'target_level': 2025, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 304412
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '405.4.e.u', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2025.4.a.r', 'target_level': 2025, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 846525
{'charpoly_factorization': [[[324, -252, 214, -22, 15, -1, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 2}
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id: 846526
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 90072267492426133, 'p': 3}
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id: 846527
{'charpoly_factorization': [[[25, 5, 1], 3]], 'hecke_orbit_code': 90072267492426133, 'p': 5}
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id: 846528
{'charpoly_factorization': [[[260499600, -10458720, 823404, -16080, 1273, -25, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 7}
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id: 846529
{'charpoly_factorization': [[[9000000, 2733000, 655921, 58838, 4275, -58, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 11}
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id: 846530
{'charpoly_factorization': [[[137160603904, -2752456064, 72641168, -391400, 9641, -47, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 13}
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id: 846531
{'charpoly_factorization': [[[-90984, -2708, 34, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 17}
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id: 846532
{'charpoly_factorization': [[[-299645, -10777, 5, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 19}
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id: 846533
{'charpoly_factorization': [[[1084005816336, 15867217440, 285356556, 1305072, 17841, 51, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 23}
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id: 846534
{'charpoly_factorization': [[[126287249817600, -225463178880, 4335739969, -15453470, 142563, -350, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 29}
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id: 846535
{'charpoly_factorization': [[[90993741996096, 1290835679544, 12225850209, 67256670, 271723, 638, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 31}
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id: 846536
{'charpoly_factorization': [[[-577760, 16032, 414, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 37}
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id: 846537
{'charpoly_factorization': [[[316826721339129, -2702285972259, 26234534722, -8424011, 183858, -179, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 41}
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id: 846538
{'charpoly_factorization': [[[349427949912064, -4128010809344, 33139430912, -147229568, 478064, -836, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 43}
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id: 846539
{'charpoly_factorization': [[[81096796901376, -627494599680, 6971565760, -1635952, 124905, -235, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 47}
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id: 846540
{'charpoly_factorization': [[[-1500684, 35128, 505, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 53}
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id: 846541
{'charpoly_factorization': [[[498077813969649, 5607289003593, 51186113506, 179053529, 537474, -535, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 59}
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id: 846542
{'charpoly_factorization': [[[554264938580224, -6931292254784, 89126880272, -16466816, 305228, -104, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 61}
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id: 846543
{'charpoly_factorization': [[[246999193899264, -5896406917440, 141388680720, -16425216, 376780, -40, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 67}
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id: 846544
{'charpoly_factorization': [[[-116183454, -264923, 452, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 71}
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id: 846545
{'charpoly_factorization': [[[8707528, 144236, 710, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 73}
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id: 846546
{'charpoly_factorization': [[[25533374939136, 607822000128, 11265565440, 86368704, 522244, -634, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 79}
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id: 846547
{'charpoly_factorization': [[[49432784635183104, 62687755063296, 465025556736, -933574464, 2724804, -1734, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 83}
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id: 846548
{'charpoly_factorization': [[[-17926434, 220725, -852, 1], 2]], 'hecke_orbit_code': 90072267492426133, 'p': 89}
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id: 846549
{'charpoly_factorization': [[[494595736877400064, -1107776287801344, 2481154228224, -1406550016, 1575168, 0, 1], 1]], 'hecke_orbit_code': 90072267492426133, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 21, 'label': '405.4.e.u', 'level': 405, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 250985000
{'hecke_orbit_code': 90072267492426133, 'n': 1, 'trace_an': 6}
-
id: 250985001
{'hecke_orbit_code': 90072267492426133, 'n': 2, 'trace_an': 1}
-
id: 250985002
{'hecke_orbit_code': 90072267492426133, 'n': 3, 'trace_an': 0}
-
id: 250985003
{'hecke_orbit_code': 90072267492426133, 'n': 4, 'trace_an': -5}
-
id: 250985004
{'hecke_orbit_code': 90072267492426133, 'n': 5, 'trace_an': -15}
-
id: 250985005
{'hecke_orbit_code': 90072267492426133, 'n': 6, 'trace_an': 0}
-
id: 250985006
{'hecke_orbit_code': 90072267492426133, 'n': 7, 'trace_an': 25}
-
id: 250985007
{'hecke_orbit_code': 90072267492426133, 'n': 8, 'trace_an': 54}
-
id: 250985008
{'hecke_orbit_code': 90072267492426133, 'n': 9, 'trace_an': 0}
-
id: 250985009
{'hecke_orbit_code': 90072267492426133, 'n': 10, 'trace_an': -10}
-
id: 250985010
{'hecke_orbit_code': 90072267492426133, 'n': 11, 'trace_an': 58}
-
id: 250985011
{'hecke_orbit_code': 90072267492426133, 'n': 12, 'trace_an': 0}
-
id: 250985012
{'hecke_orbit_code': 90072267492426133, 'n': 13, 'trace_an': 47}
-
id: 250985013
{'hecke_orbit_code': 90072267492426133, 'n': 14, 'trace_an': 159}
-
id: 250985014
{'hecke_orbit_code': 90072267492426133, 'n': 15, 'trace_an': 0}
-
id: 250985015
{'hecke_orbit_code': 90072267492426133, 'n': 16, 'trace_an': 127}
-
id: 250985016
{'hecke_orbit_code': 90072267492426133, 'n': 17, 'trace_an': -68}
-
id: 250985017
{'hecke_orbit_code': 90072267492426133, 'n': 18, 'trace_an': 0}
-
id: 250985018
{'hecke_orbit_code': 90072267492426133, 'n': 19, 'trace_an': -10}
-
id: 250985019
{'hecke_orbit_code': 90072267492426133, 'n': 20, 'trace_an': -25}
-
id: 250985020
{'hecke_orbit_code': 90072267492426133, 'n': 21, 'trace_an': 0}
-
id: 250985021
{'hecke_orbit_code': 90072267492426133, 'n': 22, 'trace_an': -260}
-
id: 250985022
{'hecke_orbit_code': 90072267492426133, 'n': 23, 'trace_an': -51}
-
id: 250985023
{'hecke_orbit_code': 90072267492426133, 'n': 24, 'trace_an': 0}
-
id: 250985024
{'hecke_orbit_code': 90072267492426133, 'n': 25, 'trace_an': -75}
-
id: 250985025
{'hecke_orbit_code': 90072267492426133, 'n': 26, 'trace_an': -506}
-
id: 250985026
{'hecke_orbit_code': 90072267492426133, 'n': 27, 'trace_an': 0}
-
id: 250985027
{'hecke_orbit_code': 90072267492426133, 'n': 28, 'trace_an': 166}
-
id: 250985028
{'hecke_orbit_code': 90072267492426133, 'n': 29, 'trace_an': 350}
-
id: 250985029
{'hecke_orbit_code': 90072267492426133, 'n': 30, 'trace_an': 0}
-
id: 250985030
{'hecke_orbit_code': 90072267492426133, 'n': 31, 'trace_an': -638}
-
id: 250985031
{'hecke_orbit_code': 90072267492426133, 'n': 32, 'trace_an': 245}
-
id: 250985032
{'hecke_orbit_code': 90072267492426133, 'n': 33, 'trace_an': 0}
-
id: 250985033
{'hecke_orbit_code': 90072267492426133, 'n': 34, 'trace_an': 154}
-
id: 250985034
{'hecke_orbit_code': 90072267492426133, 'n': 35, 'trace_an': -250}
-
id: 250985035
{'hecke_orbit_code': 90072267492426133, 'n': 36, 'trace_an': 0}
-
id: 250985036
{'hecke_orbit_code': 90072267492426133, 'n': 37, 'trace_an': -828}
-
id: 250985037
{'hecke_orbit_code': 90072267492426133, 'n': 38, 'trace_an': 397}
-
id: 250985038
{'hecke_orbit_code': 90072267492426133, 'n': 39, 'trace_an': 0}
-
id: 250985039
{'hecke_orbit_code': 90072267492426133, 'n': 40, 'trace_an': -135}
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