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mf_newforms • Show schema
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [378, 6, [29, 325], [1, 1]], 'cm_discs': [], 'conrey_index': 143, 'conrey_indexes': [143, 341], 'dim': 16, 'field_disc': 5159480623799635869696, 'field_disc_factorization': [[2, 16], [3, 12], [384889, 2]], 'field_poly': [6561, -17496, 16767, -1944, -10611, 10260, -2601, -2640, 2785, -880, -289, 380, -131, -8, 23, -8, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798906, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 81, 'hecke_ring_index_factorization': [[3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 9, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '378.2.l.a', 'level': 378, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.l.a', 'prim_orbit_index': 9, 'qexp_display': 'q+(\\beta _{1}+\\beta _{7})q^{2}-q^{4}+(-\\beta _{5}-\\beta _{10}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '378.2.l', 'trace_display': [0, 0, 0, 2], 'trace_hash': 680209513444403685, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.046', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.017', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '793.873', 'prec': 24}, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 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, 0, 0, 0], [-1, 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, -1, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -1, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, -1, 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, 0, 0, 0], [0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0], [-1, 0, 1, -1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 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, 0], [2, -1, -1, 0, 0, 0, -1, 0, -2, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, -1, 1, -1, 0, -1, 0, 0, -1, -1, -1, 1], [0, 0, 0, 0, 0, 1, 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3, -4, 6], [-3, 2, 0, -4, -5, 0, -3, 4, 9, -3, -6, 2, 6, 5, 6, -2], [1, -6, 2, -2, 1, -3, -2, -1, 2, -4, 3, -4, -4, -3, -4, 3], [3, 26, -1, 5, 3, 6, 5, 19, 3, -9, 6, 9, 6, 2, -6, 2], [12, 6, -3, 6, -2, -1, 2, -3, -2, 0, 1, 0, 1, 3, 1, -3], [3, -2, -1, 2, -2, -5, 3, -7, 1, 2, 5, -2, -5, -4, 0, 2], [-20, 16, 4, -3, 0, -4, -5, 6, 26, -3, 2, 2, 2, -1, -6, 2], [-4, -6, 0, -2, -2, -4, -4, 0, 1, 4, 2, -8, -6, -4, 4, 4], [-4, 9, 2, -2, 0, -8, 4, 9, 4, 4, -8, -4, -7, -4, 7, -4], [-8, -1, 4, -6, -3, 3, -2, 1, -1, 2, 4, -1, -4, -3, -7, 1], [-5, 2, 1, 4, -1, 3, -2, 1, -7, -1, 3, 2, -3, 3, -6, -2], [1, 6, 0, 4, 3, -2, 7, 0, -1, -7, -2, 8, -2, 1, 0, 8], [0, -6, -3, 6, 3, 2, 9, -3, -6, -3, -1, 0, 1, -3, 2, 3], [4, 2, 7, -6, 3, -1, -3, -2, 3, -2, 5, 1, 4, -2, -1, 3], [-7, 0, 1, -4, -3, -3, -6, -6, 6, -5, 3, -5, 0, -1, 0, 1], [10, -11, -5, 3, 2, 6, 5, 2, -10, 2, -3, 2, 3, 2, 6, 0], [7, 1, -2, 4, -3, 3, 1, 5, -5, 5, -1, -6, 2, 5, 3, -11], [8, -22, -1, 0, 3, 1, 5, -12, -11, 0, -2, -2, -2, -2, 3, -2], 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-5], [17, 9, -7, 9, -5, 1, 4, 0, -14, 0, -1, 2, 0, 0, 1, 2], [-16, 18, 0, -2, 4, -1, 2, 6, 16, -2, -1, -2, -1, -4, 0, -2], [5, -10, -4, -4, 9, -9, 8, -11, -16, 4, -9, -4, -8, -5, 8, -5], [2, 7, -1, 2, 1, 12, 1, 7, 11, -5, 7, 6, 5, 5, -12, -1], [-7, -2, -12, 4, 7, 4, 8, 8, -14, -4, 1, -2, -1, 2, -5, 2], [9, -2, -5, 2, -1, -2, -8, 2, -18, 2, -2, -2, -1, 2, 1, 2], [9, -3, 0, 0, 3, -10, 0, -6, -12, -3, -10, 3, -2, 0, 2, 0], [-4, -6, 1, 1, -2, -2, -1, 6, 1, 0, 2, 0, 5, 0, 5, 0], [-5, 8, 15, -4, -7, -4, -2, 4, 20, 4, -4, -4, 1, -8, -1, -8], [5, 3, -3, 1, -1, 3, 1, 9, 7, -2, -3, 3, 3, 5, 0, -3], [-5, -26, -5, -1, -2, 2, -6, -9, 3, 5, 0, -2, 0, 3, 2, -2], [5, 0, -9, 1, 5, 8, 4, -9, 4, -5, -1, 0, 1, 5, -7, 0], [-3, -12, 3, -2, -4, -3, -2, -15, -4, 7, 5, -8, -8, -7, 3, 1], [-4, -2, 0, -10, 6, 9, -3, 2, 3, -3, -6, -2, 6, 1, -3, 2], [10, 23, 7, -1, 0, 1, -1, 4, -1, 4, 4, -2, 5, 4, 1, -6], [4, -3, -2, 8, -6, -6, -3, -6, -1, -5, -3, 1, -3, -4, -3, 1], [-4, -3, 6, -3, -7, -5, -8, 3, 8, 0, 5, 0, -7, 0, -7, 0], [-10, 12, 0, 2, 2, 0, 4, -12, -4, 2, 0, 2, 6, -2, 6, 2], [1, -4, -7, 6, -1, 1, 0, -3, -3, -3, -1, 4, -1, 1, 2, 4], [15, 9, 4, 10, 1, -11, -1, 3, -9, 3, -13, 6, 2, -3, 11, -9], [-7, -2, 1, -1, -2, -1, -6, -4, 1, -5, -1, -2, 1, 3, 2, 2], [-10, -9, -9, -4, 3, 5, 1, -6, -6, -6, 5, -3, 0, 6, -5, 9], [-9, 9, 5, 2, 2, -3, -3, -10, 3, -3, 3, -3, -3, 2, -3, -2], [-7, -11, -6, -1, 3, -4, -3, -7, 9, 6, -4, -6, -5, -2, 5, -2], [4, -6, 2, 2, 0, -4, 2, 2, -2, 0, 4, 0, 2, -4, 2, 4], [7, 4, -13, 13, -4, -5, -6, 8, -16, -2, -5, 2, -7, 6, 7, 6], [10, 14, 0, 2, 2, 6, -2, 10, -10, -2, 6, 2, 6, -2, -6, -2], [4, 6, 2, -3, 5, 3, 2, 6, 10, 2, -2, 2, 5, -2, -3, -4], [7, 5, -5, 9, 3, -6, 4, 5, 2, 1, -3, 2, -3, -1, 6, -3], [4, -5, -7, 4, 2, -6, -6, -4, -4, 1, -6, -1, -3, 0, 3, 0], [-6, 4, 11, -11, -6, -4, -1, 10, 7, 6, -3, -4, -1, -6, 4, -2], [0, -24, -5, 2, -5, -1, -7, -6, -1, 4, -2, 4, -2, 8, 1, 4], [10, 10, -2, 0, -8, -3, -8, 2, -2, 2, 1, 2, -2, 2, -3, 0]], 'char_orbit_index': 12, 'field_poly': [6561, -17496, 16767, -1944, -10611, 10260, -2601, -2640, 2785, -880, -289, 380, -131, -8, 23, -8, 1], 'hecke_orbit_code': 755947798906, 'hecke_ring_character_values': [[29, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]], [325, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 142155, 47385, 47385, 47385, 47385, 142155, 142155, 28431, 47385, 142155, 142155, 142155, 15795, 142155, 10935], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 2, -1, -1, 0, -2, 1, 1, 2, 0, 0, 0, 0, 0, -1], [3, -2, 0, -1, -2, 0, -1, 2, -2, 3, 1, -1, 0, -2, 1, 0], [-4, 1, 8, -5, -3, 2, 0, 5, 2, 6, 3, 2, 1, -2, 0, 0], [8, 11, -2, 4, 2, 4, 7, 1, -3, 2, 6, 3, -1, -3, 0, 5], [-1, 21, 16, 1, -7, 6, -2, -3, 30, 6, 5, 9, 3, 3, -10, 0], [20, 51, -21, 32, -12, -4, -3, 30, 15, 8, -2, 11, -2, 7, -2, -7], [-3, 90, 46, -17, -39, -1, 0, 93, 49, 33, -21, 24, 37, 6, 3, -36], [94, 163, -16, 31, 50, 18, 61, 179, -71, 42, -25, 50, 66, 10, 68, -42], [168, 67, 110, -64, 66, 126, 66, -19, 50, 40, 14, 72, 216, 0, 32, -44], [188, -61, -144, 153, 158, 167, -8, -161, 14, 62, 162, 126, 172, 90, -18, -58], [217, -46, 86, -138, -219, 141, -81, -482, 80, 48, 333, 13, 231, -100, -351, -126], [-97, 1031, 376, -357, 153, -298, -36, 325, -320, 301, 416, 68, -170, -251, -418, -209], [1243, 2320, 1540, -1199, 277, -597, 98, -220, -478, -155, 414, -186, 402, -1440, -609, 385], [-1641, 2486, 2715, -1454, 1178, -882, -1481, 541, 3809, -27, 812, 1042, 960, -835, -511, 1281], [208, 1787, 757, 809, -2124, -431, -2559, -11, 6361, -2730, 2838, 1522, 2828, -1012, -1179, 2826]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2825604, -4444713, 1318518, 2372247, -2730942, 756198, 724572, -757363, 206194, 107467, -107246, 27422, 7676, -6827, 1352, 50], [-244944, 629856, -524799, -55431, 432351, -313347, 13734, 128722, -90010, 12131, 19055, -13199, 2308, 1319, -866, 169], [-1285227, 2135727, -949725, -871830, 1355805, -566733, -226785, 382978, -159688, -23518, 55022, -22478, -224, 3608, -1325, 154], [-7117227, 13935564, -8165529, -3909951, 8827731, -4779069, -693301, 2419149, -1283242, 13019, 334353, -172766, 15627, 21081, -9836, 1445], [-14041269, 27464589, -16197165, -7519770, 17293545, -9430341, -1293175, 4717386, -2521996, 37829, 649239, -338066, 31392, 40866, -19265, 2858], [42998607, -89475273, 57644217, 20576268, -57047193, 33710346, 2544783, -15633236, 9027170, -494788, -2154880, 1215277, -145859, -136087, 70123, -11192], [-69445998, 142069707, -88915158, -35165097, 90692622, -52089894, -5100702, 24892859, -13978340, 565132, 3436840, -1883968, 208526, 217033, -108472, 16898], [14963454, -31653180, 20790351, 7028856, -20322468, 12187116, 796053, -5585140, 3269857, -200900, -771188, 441224, -55006, -48788, 25571, -4120], [-30865131, 65494089, -43148781, -14468679, 42144849, -25345758, -1602394, 11591968, -6806990, 428149, 1601225, -919066, 115567, 101261, -53254, 8586], [102032298, -212064642, 135776493, 50026572, -135722682, 79507809, 6581337, -37270684, 21324130, -1063457, -5145350, 2873363, -334861, -325403, 165707, -26068], [117273501, -244082322, 157282722, 56669868, -156501153, 92428227, 7063563, -43003982, 24841391, -1366837, -5936959, 3354958, -405716, -374983, 194263, -31130], [-121811526, 256798269, -167924421, -57791394, 165029724, -98586783, -6735609, 45384563, -26474600, 1580329, 6268915, -3574291, 441842, 396466, -207064, 33311], [-18826182, 40175190, -26672436, -8698959, 25851399, -15657912, -906329, 7108452, -4204439, 280045, 981351, -567820, 72930, 62025, -32959, 5368], [244346949, -507326409, 324340605, 120144465, -324842130, 190088901, 15905550, -89230126, 51016561, -2527469, -12322064, 6878696, -802747, -778856, 397070, -62668], [-18816948, 39638646, -25866621, -8949609, 25447554, -15172956, -1054329, 6992981, -4072523, 239686, 965497, -549514, 67583, 61039, -31804, 5105]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '378.2.l.a', 'level': 378, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1512, 'analytic_conductor': 3.0183451964043986, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [378, 6, [29, 325], [1, 1]], 'conrey_index': 143, 'cusp_dim': 120, 'dim': 16, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 755947798906, 'hecke_orbit_dims': [16], 'label': '378.2.l', 'level': 378, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 168, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 9, 'relative_dim': 8, 'sturm_bound': 144, 'trace_bound': 0, 'trace_display': [0, 0, 0, 2], 'traces': [16, 0, 0, -16, 0, 0, 2, 0, 0, 0, -12, 0, 6, 6, 0, 16, 18, 0, 0, 0, 0, 0, 6, 0, -8, -12, 0, -2, -6, 0, 0, 0, 0, 0, -30, 0, -2, 0, 0, 0, 6, 0, -2, 12, 0, 6, 36, 0, -8, 12, 0, -6, 36, 0, 0, -6, 0, 6, -60, 0, 0, -36, 0, -16, 0, 0, -28, -18, 0, -18, 0, 0, 0, -18, 0, 0, 42, 0, 32, 0, 0, 0, 0, 0, -12, -24, 0, 0, 24, 0, -12, -6, 0, 0, 0, 0, 6, 24, 0, 8, 48, 0, 42, 12, 0, 0, -30, 0, 4, 84, 0, 2, -36, 0, 0, 6, 0, 0, -12, 0, 20, 0, 0, 0, -72, 0, -28, 0, 0, 24, 18, 0, -42, 0, 0, 0, -138, 0, -60, 30, 0, -24, 54, 0, -18, 36, 0, 2, 72, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 20, -6, 0, 18, 30, 0, 46, 66, 0, 2, -36, 0, -4, -12, 0, 36, 24, 0, 0, -90, 0, -6, -96, 0, 0, -36, 0, 48, 0, 0, 40, -48, 0, 8, 0, 0, 42, -12, 0, 0, 60, 0, 48, -24, 0, 6, 42, 0, -2, -36, 0, -18, 0, 0, 18, -24, 0, 0, 0, 0, -72, 6, 0, -12, 66, 0, -60, 54, 0, -6, -48, 0, 6, 60, 0, -18, -24, 0, 24, 0, 0, 0, 0, 0, 0, 36, 0, 0, 36, 0, 0, 0, 0, 16, 36, 0, -28, 0, 0, 0, -60, 0, 54, 18, 0, 28, 36, 0, -42, 18, 0, -12, 84, 0, 20, -66, 0, 18, 132, 0, 0, 0, 0, 0, -96, 0, -2, -48, 0, 0, 18, 0, -42, 18, 0, -30, -60, 0, 86, 18, 0, 0, 66, 0, 0, -42, 0, 6, -144, 0, 0, -12, 0, -32, 0, 0, -36, 0, 0, 12, 0, 0, -132, 18, 0, 0, -78, 0, -80, 0, 0, -36, -30, 0, 64, -132, 0, 12, 78, 0, -52, 24, 0, 0, 0, 0, 12, 102, 0, 0, 24, 0, 54, -24, 0, 30, -114, 0, -8, 96, 0, 12, -48, 0, -36, 6, 0, 0, 132, 0, -34, 120, 0, 0, -24, 0, 76, 0, 0, -48, -18, 0, 108, 0, 0, -6, 42, 0, 144, -24, 0, -24, 42, 0, 84, 12, 0, -8, 78, 0, 12, -48, 0, -60, -60, 0, 0, 0, 0, -42, 30, 0, -42, -12, 0, -36, -102, 0, -76, 102, 0, 0, -144, 0, -84, 30, 0, -108, 84, 0, 0, -84, 0, -4, -72, 0, 0, -84, 0, -12, 0, 0, -36, -60, 0, -2, 0, 0, 90, 36, 0, -18, 90, 0, -44, -78, 0, 0, -6, 0, -70, -6, 0, 12, -18, 0, 46, -102, 0, 0, 0, 0, 198, 12, 0, 0, 30, 0, 30, 48, 0, -20, -168, 0, -2, 0, 0, 36, 72, 0, 0, -48, 0, 0, 48, 0, 10, 72, 0, 0, 120, 0, -144, 0, 0, 28, 102, 0, 0, 0, 0, 36, 186, 0, -234, 6, 0, -24, 24, 0, 96, -18, 0, 48, 108, 0, -40, -96, 0, 42, 48, 0, 0, 0, 0, 90, -126, 0, 32, -60, 0, 0, -18, 0, 104, 138, 0, 54, -132, 0, -122, 120, 0, 60, 30, 0, 0, -30, 0, -24, 72, 0, 0, 0, 0, 24, 0, 0, 164, -54, 0, 72, 0, 0, 132, 48, 0, 18, -132, 0, 0, -36, 0, 90, -144, 0, -24, -168, 0, -2, 48, 0, 138, -72, 0, 0, 0, 0, -96, 120, 0, 14, -36, 0, -198, 0, 0, -12, -114, 0, 2, 120, 0, 0, -36, 0, 78, 0, 0, 0, 66, 0, -20, 120, 0, 0, 120, 0, -4, 0, 0, -12, 18, 0, -36, 0, 0, 0, 78, 0, 48, 12, 0, 48, 54, 0, -126, 18, 0, -20, -24, 0, 72, 6, 0, 36, -66, 0, 0, 0, 0, -18, 24, 0, -18, -30, 0, -18, -114, 0, -44, 108, 0, -46, -324, 0, 156, -66, 0, -36, -216, 0, 0, -54, 0, -2, 120, 0, 0, 36, 0, -24, 0, 0, -60, -90, 0, 4, 0, 0, -234, 12, 0, 0, -66, 0, -176, -90, 0, -36, 30, 0, 126, -24, 0, 54, 60, 0, -120, 84, 0, 0, 0, 0, -30, 90, 0, -30, 18, 0, 42, -12, 0, 6, -96, 0, -64, 96, 0, -54, 60, 0, -108, -72, 0, 0, 138, 0, -20, 36, 0, 0, 312, 0, 232, 0, 0, -48, 174, 0, 188, 0, 0, -108, 24, 0, 180, -48, 0, -40, -132, 0, 42, 48, 0, 0, 132, 0, 72, -18, 0, -8, 216, 0, 0, 0, 0, -72, -150, 0, -18, -90, 0, -42, 48, 0, -84, 12, 0, 48, -48, 0, 0, 18, 0, 0, -162, 0, 0, -60, 0, 36, -132, 0, 0, 0, 0, -48, 0, 0, -52, 24, 0, -126, 0, 0, 108, 132, 0, -6, -234, 0, 60, -42, 0, 0, -36, 0, -124, -186, 0, 2, 96, 0, -122, 36, 0, 0, 0, 0, 126, 72, 0, 18, 18, 0, -48, 0, 0, -36, 102, 0, 54, 72, 0, -18, -330, 0, -96, 24, 0, 0, 168, 0, 14, 240, 0, 0, 12, 0, -200, 0, 0, 192, -6, 0, -98, 0, 0, 72, 6, 0, -234, -6, 0, -48, -66, 0, 0, 42, 0, 12, 60, 0, -56, -66, 0, 12, -96, 0, 0, 0, 0, 60, 0, 0, -50, -54, 0, 144, -96, 0, 124, 54, 0, 6, -168, 0, -42, 48, 0, 234, -36, 0, 0, -66, 0, -6, 72, 0, 0, -60, 0, 144, 0, 0, 228, -54, 0, 18, 0, 0, 36, 24, 0, 72, 54, 0, 88, -60, 0, -24, -6, 0, 68, 0, 0, -102, 78, 0, 132, -120, 0, 0, 0, 0, -288, 0, 0, 0, 18, 0, -54, 6, 0, 0, -24, 0, 10, -36, 0, 60, 282, 0, 156, -78, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 283213
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '126.2.l.a', 'target_level': 126, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 283214
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '126.2.l.a', 'target_level': 126, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 283215
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '126.2.t.a', 'target_level': 126, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 283216
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '126.2.t.a', 'target_level': 126, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 283217
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '378.2.l.a', 'target_level': 378, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 283218
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '378.2.l.a', 'target_level': 378, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 283219
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '378.2.t.a', 'target_level': 378, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 283220
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '378.2.t.a', 'target_level': 378, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 283221
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.2.l.b', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 283222
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.2.l.b', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 283223
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.2.m.a', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 283224
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.2.m.a', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 283225
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.2.m.b', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 283226
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '882.2.m.b', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 283227
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.2.t.a', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 283228
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '882.2.t.a', 'target_level': 882, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 283229
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 53, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.2.ca.c', 'target_level': 1008, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 283230
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 53, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.2.ca.c', 'target_level': 1008, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '252.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 283231
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 84, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.2.df.c', 'target_level': 1008, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 283232
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 84, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.2.df.c', 'target_level': 1008, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 283233
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1134.2.k.a', 'target_level': 1134, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 283234
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1134.2.k.a', 'target_level': 1134, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 283235
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1134.2.k.b', 'target_level': 1134, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 283236
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 11, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1134.2.k.b', 'target_level': 1134, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 283237
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2646.2.l.a', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 283238
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2646.2.l.a', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 283239
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2646.2.m.a', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 283240
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2646.2.m.a', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 283241
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2646.2.m.b', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 283242
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 13, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2646.2.m.b', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 283243
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2646.2.t.b', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 283244
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 20, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2646.2.t.b', 'target_level': 2646, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 283245
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 53, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3024.2.ca.c', 'target_level': 3024, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 283246
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 53, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3024.2.ca.c', 'target_level': 3024, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '252.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 283247
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 84, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3024.2.df.c', 'target_level': 3024, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 283248
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 16, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '378.2.l.a', 'source_level': 378, 'target_char_orbit': 84, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3024.2.df.c', 'target_level': 3024, 'twist_class_label': '126.2.l.a', 'twist_class_level': 126, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 798675
{'charpoly_factorization': [[[1, 0, 1], 8]], 'hecke_orbit_code': 755947798906, 'p': 2}
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id: 798676
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 755947798906, 'p': 3}
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id: 798677
{'charpoly_factorization': [[[81, -1134, 16929, 11826, 32724, 19494, 42201, 25002, 22536, 5814, 3582, 450, 423, 24, 24, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 5}
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id: 798678
{'charpoly_factorization': [[[5764801, -1647086, 705894, 134456, 55223, -72030, 22687, -8036, -1350, -1148, 463, -210, 23, 8, 6, -2, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 7}
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id: 798679
{'charpoly_factorization': [[[61732449, -105645222, 43505991, 28680318, -16460820, -5642460, 3600531, 868968, -395118, -92826, 30132, 7776, -1017, -360, 18, 12, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 11}
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id: 798680
{'charpoly_factorization': [[[390971529, 543480678, 88818120, -226594584, -17730819, 46095318, 2433294, -6581682, 452916, 423144, -40167, -19584, 2682, 414, -57, -6, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 13}
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id: 798681
{'charpoly_factorization': [[[56070144, -73322496, 91570176, -66023424, 53021952, -31774464, 19253376, -8227008, 3161232, -875952, 241380, -53892, 11493, -1794, 231, -18, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 17}
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id: 798682
{'charpoly_factorization': [[[9199089, 6551280, -11629251, -9389520, 14697288, 6237810, -3302019, -1418796, 634680, 162594, -55782, -10116, 4167, 0, -72, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 19}
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id: 798683
{'charpoly_factorization': [[[187388721, 48787596, -100363617, -27232524, 39946284, 10493226, -6579225, -1751058, 815022, 187596, -54108, -11340, 2763, 396, -54, -6, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 23}
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id: 798684
{'charpoly_factorization': [[[1108809, -4264650, 2880279, 9950850, 3174066, -3639168, -1095687, 912708, 299376, -121986, -19278, 7938, 1197, -288, -36, 6, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 29}
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id: 798685
{'charpoly_factorization': [[[65610000, 0, 157901400, 0, 125744481, 0, 42206670, 0, 6469713, 0, 444582, 0, 14238, 0, 204, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 31}
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id: 798686
{'charpoly_factorization': [[[32746159681, -85008385594, 184692416508, -97465928012, 46677522614, -7527670110, 2287630168, -226939114, 74228751, -4587118, 1458136, -40410, 20726, -212, 180, 2, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 37}
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id: 798687
{'charpoly_factorization': [[[81, 1620, 22518, 157140, 789021, 2008098, 3629772, 2659284, 1500462, 435366, 114903, 10656, 4086, 210, 105, -6, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 41}
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id: 798688
{'charpoly_factorization': [[[2999643361, 3327326288, 7799247270, -4349128328, 5436205979, -541864944, 414160000, -31678138, 21475854, -1079260, 594199, -12744, 11744, -86, 135, 2, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 43}
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id: 798689
{'charpoly_factorization': [[[766944, -832824, 290241, -19818, -8910, 1650, 3, -18, 1], 2]], 'hecke_orbit_code': 755947798906, 'p': 47}
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id: 798690
{'charpoly_factorization': [[[36759242529, 192322120608, 216276115095, -623279673504, 467177028516, -151911504432, 18102553515, 1559379114, -432814590, -18378090, 9260244, -312498, -59697, 3240, 342, -36, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 53}
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id: 798691
{'charpoly_factorization': [[[465300, 452880, 12501, -91044, -24165, -1254, 228, 30, 1], 2]], 'hecke_orbit_code': 755947798906, 'p': 59}
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id: 798692
{'charpoly_factorization': [[[547560000, 0, 82792432800, 0, 57490686441, 0, 6740334162, 0, 325742625, 0, 7706430, 0, 91530, 0, 504, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 61}
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id: 798693
{'charpoly_factorization': [[[51028, 97988, -96551, 13262, 5338, -970, -101, 14, 1], 2]], 'hecke_orbit_code': 755947798906, 'p': 67}
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id: 798694
{'charpoly_factorization': [[[65610000, 0, 1520839800, 0, 5897814849, 0, 1363509936, 0, 118814850, 0, 4631418, 0, 77553, 0, 486, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 71}
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id: 798695
{'charpoly_factorization': [[[71115489, 461301966, 804430197, -1251964674, 184027950, 381956796, 2268459, -52748334, 5074506, 2724732, -293184, -99126, 18909, 0, -150, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 73}
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id: 798696
{'charpoly_factorization': [[[-985100, 1252640, -126107, -92278, 9004, 2306, -149, -16, 1], 2]], 'hecke_orbit_code': 755947798906, 'p': 79}
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id: 798697
{'charpoly_factorization': [[[953512641, 3606173136, 10746004968, 10462495572, 8139710007, 2738647692, 898947882, -16891146, 59460768, -1501128, 1367865, -35334, 22680, -312, 177, 0, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 83}
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id: 798698
{'charpoly_factorization': [[[131145120363321, -115458464232270, 66081140272737, -24192458322894, 6794512511634, -1393795430352, 232008422067, -29227238586, 3371130738, -313712028, 32872068, -2265570, 187029, -9180, 702, -24, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 89}
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id: 798699
{'charpoly_factorization': [[[9120206721024, 42337728663552, 71879395230720, 29552832820224, 3933195148800, -297673761024, -99905635008, 1664083008, 1709674848, 28723248, -15309036, -354204, 102717, 2358, -381, -6, 1], 1]], 'hecke_orbit_code': 755947798906, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '378.2.l.a', 'level': 378, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 42179000
{'hecke_orbit_code': 755947798906, 'n': 1, 'trace_an': 16}
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id: 42179001
{'hecke_orbit_code': 755947798906, 'n': 2, 'trace_an': 0}
-
id: 42179002
{'hecke_orbit_code': 755947798906, 'n': 3, 'trace_an': 0}
-
id: 42179003
{'hecke_orbit_code': 755947798906, 'n': 4, 'trace_an': -16}
-
id: 42179004
{'hecke_orbit_code': 755947798906, 'n': 5, 'trace_an': 0}
-
id: 42179005
{'hecke_orbit_code': 755947798906, 'n': 6, 'trace_an': 0}
-
id: 42179006
{'hecke_orbit_code': 755947798906, 'n': 7, 'trace_an': 2}
-
id: 42179007
{'hecke_orbit_code': 755947798906, 'n': 8, 'trace_an': 0}
-
id: 42179008
{'hecke_orbit_code': 755947798906, 'n': 9, 'trace_an': 0}
-
id: 42179009
{'hecke_orbit_code': 755947798906, 'n': 10, 'trace_an': 0}
-
id: 42179010
{'hecke_orbit_code': 755947798906, 'n': 11, 'trace_an': -12}
-
id: 42179011
{'hecke_orbit_code': 755947798906, 'n': 12, 'trace_an': 0}
-
id: 42179012
{'hecke_orbit_code': 755947798906, 'n': 13, 'trace_an': 6}
-
id: 42179013
{'hecke_orbit_code': 755947798906, 'n': 14, 'trace_an': 6}
-
id: 42179014
{'hecke_orbit_code': 755947798906, 'n': 15, 'trace_an': 0}
-
id: 42179015
{'hecke_orbit_code': 755947798906, 'n': 16, 'trace_an': 16}
-
id: 42179016
{'hecke_orbit_code': 755947798906, 'n': 17, 'trace_an': 18}
-
id: 42179017
{'hecke_orbit_code': 755947798906, 'n': 18, 'trace_an': 0}
-
id: 42179018
{'hecke_orbit_code': 755947798906, 'n': 19, 'trace_an': 0}
-
id: 42179019
{'hecke_orbit_code': 755947798906, 'n': 20, 'trace_an': 0}
-
id: 42179020
{'hecke_orbit_code': 755947798906, 'n': 21, 'trace_an': 0}
-
id: 42179021
{'hecke_orbit_code': 755947798906, 'n': 22, 'trace_an': 0}
-
id: 42179022
{'hecke_orbit_code': 755947798906, 'n': 23, 'trace_an': 6}
-
id: 42179023
{'hecke_orbit_code': 755947798906, 'n': 24, 'trace_an': 0}
-
id: 42179024
{'hecke_orbit_code': 755947798906, 'n': 25, 'trace_an': -8}
-
id: 42179025
{'hecke_orbit_code': 755947798906, 'n': 26, 'trace_an': -12}
-
id: 42179026
{'hecke_orbit_code': 755947798906, 'n': 27, 'trace_an': 0}
-
id: 42179027
{'hecke_orbit_code': 755947798906, 'n': 28, 'trace_an': -2}
-
id: 42179028
{'hecke_orbit_code': 755947798906, 'n': 29, 'trace_an': -6}
-
id: 42179029
{'hecke_orbit_code': 755947798906, 'n': 30, 'trace_an': 0}
-
id: 42179030
{'hecke_orbit_code': 755947798906, 'n': 31, 'trace_an': 0}
-
id: 42179031
{'hecke_orbit_code': 755947798906, 'n': 32, 'trace_an': 0}
-
id: 42179032
{'hecke_orbit_code': 755947798906, 'n': 33, 'trace_an': 0}
-
id: 42179033
{'hecke_orbit_code': 755947798906, 'n': 34, 'trace_an': 0}
-
id: 42179034
{'hecke_orbit_code': 755947798906, 'n': 35, 'trace_an': -30}
-
id: 42179035
{'hecke_orbit_code': 755947798906, 'n': 36, 'trace_an': 0}
-
id: 42179036
{'hecke_orbit_code': 755947798906, 'n': 37, 'trace_an': -2}
-
id: 42179037
{'hecke_orbit_code': 755947798906, 'n': 38, 'trace_an': 0}
-
id: 42179038
{'hecke_orbit_code': 755947798906, 'n': 39, 'trace_an': 0}
-
id: 42179039
{'hecke_orbit_code': 755947798906, 'n': 40, 'trace_an': 0}
-
id: 42179040
{'hecke_orbit_code': 755947798906, 'n': 41, 'trace_an': 6}
-
id: 42179041
{'hecke_orbit_code': 755947798906, 'n': 42, 'trace_an': 0}
-
id: 42179042
{'hecke_orbit_code': 755947798906, 'n': 43, 'trace_an': -2}
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id: 42179043
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