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mf_newforms • Show schema
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{'Nk2': 810, 'analytic_conductor': 2.452322379242672, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': -1, 'char_values': [90, 6, [11, 37], [1, 3]], 'cm_discs': [], 'conrey_index': 29, 'dim': 16, 'field_disc': 14319980043578857053709418889216, 'field_disc_factorization': [[2, 28], [3, 8], [67, 4], [797, 4]], 'field_poly': [43046721, 0, 1062882, 0, -1509030, 0, -7776, 0, 25551, 0, -96, 0, -230, 0, 2, 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': [[7, [2726544000625, 0, -452742777850, 0, 53867252746, 0, -2871549616, 0, 109528039, 0, -2058640, 0, 27898, 0, -202, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504218152992858, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 45, 8, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '90.3.j.b', 'level': 90, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '90.3.j.b', 'prim_orbit_index': 8, 'qexp_display': 'q-\\beta _{7}q^{2}+\\beta _{13}q^{3}+2\\beta _{6}q^{4}+(2-\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '90.3.j', 'trace_display': [0, 0, 30, 0], 'trace_hash': 927255800373255020, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.597', 'prec': 20}, {'__RealLiteral__': 0, 'data': '11.981', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1686.171', 'prec': 27}, {'__RealLiteral__': 0, 'data': '4306.255', 'prec': 27}, {'__RealLiteral__': 0, 'data': '307026.569', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.592', 'prec': 17}, 'traces': [16, 0, 0, -16, 30, -8, 0, 0, -16, -16, 60, 0, 0, 12, -98, -32, 0, 0, 144, -60, -56, 0, 0, 8, 6, 0, 0, 0, 72, 52, 28, 0, 0, -136, 0, 40, 0, 0, -276, 16, -180, 0, 0, 0, 242, -56, 0, 0, 12, 144, -8, 0, 0, 260, 20, -24, 0, 0, -228, 20, 68, 0, 0, 128, -102, 440, 0, 0, -16, -112, 0, 0, 0, 72, -274, -144, 0, 0, 420, 0, -500, 0, 0, 176, -136, -48, 0, 0, 0, 40, -168, 0, 0, -164, 276, 16, 0, 0, 268, -24, 1116, 0, 0, -336, 28, -96, 0, 0, -784, -228, 736, 0, 0, -1008, 34, 0, 0, 0, -648, 32, 140, 0, 0, 56, 0, -992, 0, 0, -148, -144, -1644, 0, 0, 0, 890, 544, 0, 0, 788, 156, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 1, 0, -1, 0, -2, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 2, 2, -2, 0, 1, 0, 0, 0, -1, 1, -1, 0, 1, -1], [-2, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 1, -1, -1, 0], [2, 0, -1, -1, 2, 0, -2, 0, -1, -1, -1, 1, -2, 0, 0, 0], [0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, -2, 0, -6, -1, 1, 0, 0, 0, -2, 0, 0], [2, 0, 0, 0, -1, 0, 1, 0, 1, 1, -1, 1, 1, 0, 0, 0], [-6, 0, 0, 0, 0, -3, 2, 1, 0, -2, 1, 0, 0, 3, 0, -1], [-4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 2, -2, 0, 10, 0, 12, 0, 0, 0, 0, 0, -2, 0, 0], [-1, 2, 2, -2, 0, -1, -1, 4, 0, 0, -2, -2, 0, 0, -1, -1], [10, 0, 0, 0, -2, 0, -2, 0, 2, 2, 2, -2, 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-114, 0, 62, -28, 34, 18, -18, 0, 0, 0, 40, -28, -28], [346, 0, 0, 0, 60, 0, 167, 0, -106, -106, 72, -72, -60, 0, -12, 12], [24, -1, -57, 57, 0, 23, 24, 27, -11, 11, 12, 12, 0, -66, 24, 24], [42, -186, -86, 86, 0, -104, 42, -178, 96, -96, 84, 84, 0, 206, 42, 42], [-119, 242, -11, 11, 0, 329, -119, 383, -251, 251, -119, -119, 0, -513, -119, -119], [-96, 0, 120, 120, -114, 0, -204, 0, 30, 30, -90, 90, -156, 0, 12, -12], [-48, 50, 10, -10, 0, 668, -48, 10, -23, 23, 48, 48, 0, -106, -48, -48], [-6, 21, 123, -123, 0, 15, -6, -490, -18, 18, -3, -3, 0, 234, -6, -6], [-698, 0, 138, 138, -60, 0, 18, 0, -78, -78, 60, -60, -36, 0, 18, -18], [0, 340, 47, -47, 0, -516, 0, -130, 204, -204, 42, 42, 0, 230, 0, 0]], 'char_orbit_index': 10, 'field_poly': [43046721, 0, 1062882, 0, -1509030, 0, -7776, 0, 25551, 0, -96, 0, -230, 0, 2, 0, 1], 'hecke_orbit_code': 4504218152992858, 'hecke_ring_character_values': [[11, [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [37, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1084139640, 1084139640, 20076660, 4878628380, 271034910, 4878628380, 3252418920, 3252418920, 9757256760, 9757256760, 542069820, 271034910, 1084139640, 1084139640], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, -1, 1], [2, 1, 4, -4, 0, 7, 2, 3, 4, -4, 1, 1, 0, 7, 2, 2], [55, 0, 7, 7, 6, 0, 1, 0, 7, 7, 2, -2, 4, 0, 0, 0], [7, 38, 2, -2, 0, 26, 7, -24, -10, 10, -19, -19, 0, -1, 7, 7], [-76, 0, -46, -46, 159, 0, 146, 0, 47, 47, 31, -31, 38, 0, -114, 114], [116, -233, 76, -76, 0, 1366, 116, 261, 199, -199, 49, 49, 0, 376, 116, 116], [-518, 0, 535, 535, 930, 0, -1223, 0, 265, 265, 122, -122, 340, 0, 108, -108], [571, -535, 44, -44, 0, 734, 571, 24, -424, 424, -2401, -2401, 0, -553, 571, 571], [-27157, 0, -1951, -1951, 10626, 0, -12919, 0, -1396, -1396, 4243, -4243, 1685, 0, -8337, 8337], [-4480, -10514, -8804, 8804, 0, 110107, -4480, 16746, 2503, -2503, 1090, 1090, 0, -18467, -4480, -4480], [-319289, 0, -18170, -18170, 93000, 0, -230780, 0, -35030, -35030, 6440, -6440, 5920, 0, 18420, -18420], [47170, -149329, -24340, 24340, 0, -451420, 47170, 3780, 124460, -124460, -115510, -115510, 0, 6140, 47170, 47170], [-2664409, 0, -108841, -108841, 194631, 0, -3600829, 0, -217309, -217309, 375340, -375340, 91811, 0, -363051, 363051], [-961348, 1335451, -1050866, 1050866, 0, 3754957, -961348, -1670667, -434546, 434546, 360511, 360511, 0, -4958843, -961348, -961348]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3632930676, -1145609649, -174299526, 215730054, -106945272, 4500927, 1239912, -3084327, 1816008, 79917, -2128, 16043, -11468, -1694, 98, -1], [3632930676, 1145609649, -174299526, -215730054, -106945272, -4500927, 1239912, 3084327, 1816008, -79917, -2128, -16043, -11468, 1694, 98, 1], [65426292, 0, -6519447, 0, -1070253, 0, 213588, 0, 15657, 0, -2032, 0, 55, 0, 5, 0], [0, -1856323413, 0, 126240201, 0, 53892540, 0, -2736405, 0, -469200, 0, 72245, 0, 703, 0, -256], [-865185948, 0, 37207431, 0, 19717506, 0, -1736091, 0, -245004, 0, 27619, 0, 1034, 0, -212, 0], [0, 12751926795, 0, -582314994, 0, -331210701, 0, 19138311, 0, 3638289, 0, -256559, 0, -16666, 0, 1225], [-376260228, -3018053439, -1418986836, 451875753, -104255748, 101392236, 63067518, -10810521, 1604052, -1493484, -923262, 167749, -7680, 13265, 5394, -644], [-376260228, 3018053439, -1418986836, -451875753, -104255748, -101392236, 63067518, 10810521, 1604052, 1493484, -923262, -167749, -7680, -13265, 5394, 644], [-179743975020, 15081232698, 3736797867, -1580341509, 4783351725, -453675411, -239281290, 55286856, -57721545, 3783639, 3475530, -779024, 278145, -29809, -18027, 4495], [179743975020, 15081232698, -3736797867, -1580341509, -4783351725, -453675411, 239281290, 55286856, 57721545, 3783639, -3475530, -779024, -278145, -29809, 18027, 4495], [-5822999037, 0, 1170600498, 0, 151232265, 0, -33448095, 0, -1418565, 0, 417695, 0, 6352, 0, -2413, 0], [0, -594151038, 0, 37207431, 0, 19717506, 0, -1736091, 0, -245004, 0, 27619, 0, 1034, 0, -212], [-7814839905, 5950013436, 153809523, -586371879, 194528790, -155171457, -7898625, 20331252, -2277150, 1916733, 57205, -279308, 16745, -8533, -578, 1561], [10191444057, 5950013436, -302639247, -586371879, -273398814, -155171457, 14842989, 20331252, 3257166, 1916733, -167681, -279308, -20881, -8533, 1426, 1561]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '90.3.j.b', 'level': 90, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 810, 'analytic_conductor': 2.452322379242672, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': -1, 'char_values': [90, 6, [11, 37], [1, 3]], 'conrey_index': 29, 'cusp_dim': 64, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 618525622362, 'hecke_orbit_dims': [8, 16], 'label': '90.3.j', 'level': 90, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 80, 'mf_new_dim': 24, 'num_forms': 2, 'prim_orbit_index': 8, 'relative_dim': 12, 'sturm_bound': 54, 'trace_bound': 1, 'trace_display': [0, 0, 18, 0], 'traces': [24, 0, 0, -24, 18, -8, 0, 0, 20, 0, 36, 0, 0, -36, -26, -48, 0, 0, 0, -36, 112, 0, 0, 8, -6, 0, 0, 0, 36, 4, -60, 0, 0, 0, 0, -104, 0, 0, -348, 0, -144, 0, 0, 0, 242, -24, 0, 0, 108, 288, 64, 0, 0, 260, -156, 72, 0, 0, -36, 20, 48, 0, 0, 192, -414, 272, 0, 0, 236, 48, 0, 0, 0, 144, -370, 0, 0, 0, 132, 0, -824, 0, 0, 8, 48, -432, 0, 0, 0, 112, 168, 0, 0, -84, 540, 16, 0, 0, 52, 24, 1332, 0, 0, 0, -512, -240, 0, 0, 72, -612, 1048, 0, 0, -1008, -150, 0, 0, 0, -1296, -64, 96, 0, 0, -120, 0, -992, 0, 0, -244, -216, -1548, 0, 0, 0, 1538, 0, 0, 0, 180, 396, 1088, 0, 0, 128, -372, 432, 0, 0, 1728, 528, 444, 0, 0, 480, 18, 264, 0, 0, 168, 0, 0, 0, 0, 288, -748, -132, 0, 0, 360, 0, -1584, 0, 0, 780, 270, -144, 0, 0, 0, 172, -1920, 0, 0, 24, 324, 976, 0, 0, 128, 336, 2124, 0, 0, -1152, -630, 216, 0, 0, -1008, -576, 200, 0, 0, -976, 18, 0, 0, 0, -2016, -952, 588, 0, 0, 84, 0, -320, 0, 0, -1456, 156, -2952, 0, 0, 0, 1506, 960, 0, 0, -444, 1728, -124, 0, 0, 1824, 228, 72, 0, 0, 1836, 64, -696, 0, 0, -192, -972, 500, 0, 0, 1976, -624, 0, 0, 0, 2196, -32, -192, 0, 0, -816, 0, -1248, 0, 0, 448, -1224, 720, 0, 0, 0, -1072, 1248, 0, 0, -48, -198, 256, 0, 0, -556, 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-1020, 0, 0, -3224, -1236, 0, 0, 0, -11412, -920, 1464, 0, 0, -4080, 0, 864, 0, 0, 308, -228, -1476, 0, 0, 0, 572, -2976, 0, 0, -2520, 4392, -4940, 0, 0, 2496, 4716, -3672, 0, 0, 1404, -208, 72, 0, 0, 2784, -702, 1624, 0, 0, 8376, -72, 0, 0, 0, 4392, -5820, 192, 0, 0, 11112, 0, -2000, 0, 0, 1768, 5724, 2736, 0, 0, 0, -2356, -4656, 0, 0, 4800, -72, -1832, 0, 0, 2120, 2496], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 78240
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '90.3.j.b', 'target_level': 90, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 78241
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '90.3.j.b', 'target_level': 90, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 78242
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '90.3.j.b', 'target_level': 90, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 78243
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '90.3.j.b', 'target_level': 90, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 78244
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '270.3.j.b', 'target_level': 270, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 78245
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '270.3.j.b', 'target_level': 270, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 78246
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '270.3.j.b', 'target_level': 270, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 78247
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '270.3.j.b', 'target_level': 270, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 78248
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.3.i.e', 'target_level': 450, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 78249
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '450.3.i.e', 'target_level': 450, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 78250
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.3.b.b', 'target_level': 810, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 78251
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.3.b.b', 'target_level': 810, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 78252
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.3.b.b', 'target_level': 810, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 78253
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.3.b.b', 'target_level': 810, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 78254
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1350.3.i.e', 'target_level': 1350, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 78255
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '90.3.j.b', 'source_level': 90, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1350.3.i.e', 'target_level': 1350, 'twist_class_label': '90.3.j.b', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 270400
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 4]], 'hecke_orbit_code': 4504218152992858, 'p': 2}
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id: 270401
{'charpoly_factorization': [[[43046721, 0, 4251528, 0, 1030077, 0, 117612, 0, 13644, 0, 1452, 0, 157, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 3}
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id: 270402
{'charpoly_factorization': [[[152587890625, -183105468750, 109130859375, -43066406250, 12464453125, -2733562500, 460676250, -64209000, 10186650, -2568360, 737082, -174948, 31909, -4410, 447, -30, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 5}
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id: 270403
{'charpoly_factorization': [[[2726544000625, 0, -452742777850, 0, 53867252746, 0, -2871549616, 0, 109528039, 0, -2058640, 0, 27898, 0, -202, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 7}
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id: 270404
{'charpoly_factorization': [[[110923024, -55988112, 10757516, -675132, -26499, 3810, 173, -30, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 11}
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id: 270405
{'charpoly_factorization': [[[1991891886336, 0, -1298662295040, 0, 743032620144, 0, -66077516448, 0, 4901978817, 0, -37381446, 0, 211707, 0, -534, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 13}
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id: 270406
{'charpoly_factorization': [[[640000, 0, -19116800, 0, 568656, 0, -1520, 0, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 17}
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id: 270407
{'charpoly_factorization': [[[-118800, 18288, -384, -36, 1], 4]], 'hecke_orbit_code': 4504218152992858, 'p': 19}
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id: 270408
{'charpoly_factorization': [[[2695385761201314709752961, 0, 9927185164641329533190, 0, 23184134057575901026, 0, 33701019131022464, 0, 36083770029727, 0, 26547082112, 0, 14338018, 0, 4742, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 23}
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id: 270409
{'charpoly_factorization': [[[334196141409, 37647989028, 217051002, -134806680, 2925315, 74520, -1638, -36, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 29}
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id: 270410
{'charpoly_factorization': [[[27544049296, -562949888, 222113980, 8951440, 1396909, 24550, 1465, -14, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 31}
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id: 270411
{'charpoly_factorization': [[[1414963456, 0, 112406656, 0, 1451040, 0, 3016, 0, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 37}
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id: 270412
{'charpoly_factorization': [[[15399072649, -16325923266, 5546400734, 236548476, -838149, -161820, 902, 90, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 41}
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id: 270413
{'charpoly_factorization': [[[38000421561167654416, 0, -4878432775117637968, 0, 608399615544848380, 0, -2257696918996276, 0, 5944597004701, 0, -7463891806, 0, 6820495, 0, -3118, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 43}
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id: 270414
{'charpoly_factorization': [[[303145233220031092801, 0, 15878189533672860422, 0, 726545919908823490, 0, 5287610984222912, 0, 30712262813119, 0, 36081351488, 0, 33375490, 0, 6278, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 47}
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id: 270415
{'charpoly_factorization': [[[81293414400, 0, -817164288, 0, 2680704, 0, -3264, 0, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 53}
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id: 270416
{'charpoly_factorization': [[[28666857972736, 3147080176896, 138137975456, 2522181144, 1431033, -489174, 41, 114, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 59}
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id: 270417
{'charpoly_factorization': [[[116562836569, -20897889730, 6702617854, 553172264, 72538411, 416792, 9814, -34, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 61}
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id: 270418
{'charpoly_factorization': [[[3157885466788200625, 0, -357956791142541850, 0, 33612800459800906, 0, -772842449690224, 0, 14420183041159, 0, -17691315280, 0, 17407738, 0, -4618, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 67}
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id: 270419
{'charpoly_factorization': [[[39661519104, 0, 37529422848, 0, 38976480, 0, 11328, 0, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 71}
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id: 270420
{'charpoly_factorization': [[[12985356390400, 0, 58247981056, 0, 47315088, 0, 12808, 0, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 73}
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id: 270421
{'charpoly_factorization': [[[6818036097960000, -134702027676000, 2898332685000, -29996410860, 433395441, -3865590, 41229, -210, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 79}
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id: 270422
{'charpoly_factorization': [[[451612511207190684916321, 0, 84556232911982045851766, 0, 15761743664582436008914, 0, 13056679532792964320, 0, 8383616839431727, 0, 1753625948960, 0, 267974194, 0, 19286, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 83}
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id: 270423
{'charpoly_factorization': [[[11182153068490000, 0, 9245200898600, 0, 1241264601, 0, 60350, 0, 1], 2]], 'hecke_orbit_code': 4504218152992858, 'p': 89}
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id: 270424
{'charpoly_factorization': [[[749715874319790912309760000, 0, -7815447994614013915110400, 0, 77113947575591332993216, 0, -44062624929895270000, 0, 18153425247914737, 0, -3421099058758, 0, 469724059, 0, -25078, 0, 1], 1]], 'hecke_orbit_code': 4504218152992858, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 2, 'label': '90.3.j.b', 'level': 90, 'portrait': 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', 'weight': 3}
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