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mf_newforms • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [630, 3, [281, 127, 451], [1, 3, 1]], 'cm_discs': [], 'conrey_index': 121, 'dim': 16, 'field_disc': 120746129253186035254199184, 'field_disc_factorization': [[2, 4], [3, 10], [11304994199, 2]], 'field_poly': [6561, -2187, 1458, -972, 405, 54, -315, 243, -66, 81, -35, 2, 5, -4, 2, -1, 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': [[11, [2916, 28188, 188406, 627426, 1493181, 1987308, 1937466, 1194714, 562494, 156501, 39862, 4688, 2018, 116, 53, -1, 1]], [13, [2298256, 6900832, 15234300, 16719280, 14639257, 6671493, 3205075, 684178, 433476, 52582, 34540, 477, 1834, -8, 54, -2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029346808332918, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 8, 1, 3, 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': '630.2.i.i', 'level': 630, '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, 7], 'level_radical': 210, 'minimal_twist': '630.2.i.i', 'prim_orbit_index': 8, 'qexp_display': 'q-q^{2}+(-\\beta _{1}+\\beta _{7})q^{3}+q^{4}+(1-\\beta _{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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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], [-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], [1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, -1], [-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1], [0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -1, 0, 1, -2, 1, -2, 0, 0, 0, -1, 0, 0, -1, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, -1, 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, 1, -1, 1, 0, -2, 2, 0, 2, -1, 0, -1, 0, 0, -1, 0], [1, 0, -1, 1, -1, -1, 0, -1, 0, 0, 0, -1, 0, 0, -1, 1], [0, 2, 2, -2, 1, 3, 0, -1, -1, 1, 1, 1, 1, 0, 3, -1], [1, 0, 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-3], [2, -3, -2, -1, 8, -1, -2, 7, 2, -2, 0, 3, -3, 0, 0, 2], [-13, -1, 1, -7, 13, 3, 5, 20, 3, 0, -7, 1, -1, 7, 2, -7], [9, -4, 0, 2, -1, -3, -1, -1, 0, 6, 2, 0, 1, -2, -1, 2], [7, -2, 3, 2, 2, 1, 2, -1, 2, -7, 0, 2, -1, 4, -1, 2], [-8, 1, 5, 5, 8, -10, -1, 0, 6, -7, -2, -2, 1, 2, -8, -3], [2, -5, 8, 1, -6, -3, -2, 12, 2, -2, 3, -6, 2, -7, -4, 9], [16, -5, 2, -7, -16, 8, -6, 4, -6, 6, -1, 4, -1, 1, 3, -1], [3, -3, 2, -4, 7, 5, -3, 14, 3, -3, 4, 10, -2, 3, 8, 0], [7, -1, 6, -1, 4, 3, 4, 4, 4, 0, -5, 3, 1, 3, -3, -1], [-8, 1, 4, 0, 1, 3, 1, -2, -3, 2, 3, 2, -1, 2, 2, 0], [-2, -2, 4, -2, -13, 11, -13, 0, -8, 5, 6, 11, 2, 3, 2, -2], [-1, -4, -1, 3, -2, -1, -2, -6, -7, 0, 10, -3, -5, -2, 3, 3], [-5, 5, 6, -6, -2, 13, -2, 4, -5, 2, -1, 5, -2, 4, 2, -6], [6, 12, 1, 1, -3, -4, -6, -15, -3, 3, 10, 2, -2, -1, 2, -2], [-2, -3, 1, 6, -9, -12, 2, 11, 5, -5, 11, 3, 6, -3, -5, 8], [6, 3, -11, -1, 0, -3, 0, 2, 4, 5, -5, -8, -4, -1, -1, -1], [0, 4, -4, 12, 2, -16, 0, -14, 1, -1, 6, -5, 0, 2, -10, -1], [-14, -4, -11, -4, 14, 4, 8, 0, -4, 4, 0, -3, -8, 0, 1, -1], [0, -3, 4, 2, 5, 8, 0, 0, -2, 2, -4, -2, 3, 0, 1, -2]], 'char_orbit_index': 9, 'field_poly': [6561, -2187, 1458, -972, 405, 54, -315, 243, -66, 81, -35, 2, 5, -4, 2, -1, 1], 'hecke_orbit_code': 36029346808332918, 'hecke_ring_character_values': [[281, [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [127, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [451, [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 43740, 787320, 787320, 131220, 196830, 787320, 2187, 393660, 393660, 787320, 787320, 393660, 393660, 787320, 196830], '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], [1, 1, 0, -1, -1, 1, -1, -3, -2, 2, 1, 0, 0, -1, 1, -1], [-4, -1, 0, 1, 4, -4, 1, 0, 2, 1, -1, 0, 0, 1, -1, -2], [7, -2, -3, 2, -4, 1, -1, 0, 1, -1, 1, 0, -6, 5, -5, -1], [-7, 5, -3, 1, 1, -4, 10, -3, 2, 1, -1, 0, 3, -5, -1, 1], [-23, -8, -9, 2, 17, -11, 11, 18, 7, -10, -2, -6, -9, -1, -2, -7], [32, -10, -6, 4, 1, -34, 22, -6, 17, -23, -4, -18, -12, 1, -22, -2], [-26, 13, 21, -52, -25, 67, -4, -27, -41, 17, -5, 15, -21, 2, 37, -40], [-163, -70, 18, -20, 64, -1, 25, 81, 68, 16, -52, 36, 27, 25, 47, -23], [97, -47, -57, 11, -256, 37, -10, 117, 28, -55, 37, 0, -60, 95, -59, 80], [101, 212, 42, -134, -224, 176, 127, 195, -34, -26, -91, 171, 147, -32, 197, 82], [-59, -35, -54, -259, 116, 394, -259, 279, -128, 80, 52, 228, 117, 8, 520, -106], [743, 179, 66, 184, -449, -844, -248, -969, -37, 76, 482, 18, 483, -8, -4, 232], [532, 742, 273, -394, -1573, 1444, -1354, -1008, -1283, 431, 157, 1032, -435, 929, 478, -598], [-2152, 119, -234, 970, 1747, -1, -704, -585, 1337, 655, -403, 1368, 1575, 934, 713, -32], [-1532, 2005, -2397, 3854, -805, -3527, -172, -3375, -350, -1504, 3871, -1548, 174, 617, -2318, 2627]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-188811, 96957, 7209, 38637, -36378, 3951, 741, -408, -961, -1109, 1486, -287, 13, -161, 47, 6], [-448335, 412614, -767880, 664524, -621135, 260487, -149940, 46911, 10029, -22498, 17755, -14819, 5890, -2882, 520, -193], [3881925, 2188458, -1598940, -164592, -514215, 522819, -121320, -5433, 40233, -1846, 10315, -22943, 1870, 586, 1900, 119], [-39366, -175689, 88209, 13041, 36207, -36702, 5841, -717, -12, -1447, -899, 1474, -317, 37, -173, 53], [428652, -226719, -50058, -67959, 32346, 23688, -19377, 16206, -8238, 4303, -2242, -736, 209, -208, 341, -92], [3833811, -1296162, 260496, -459432, 445203, -39411, -38736, 48093, 12471, 14734, -12511, 767, -718, 1106, -532, 349], [2187, -1458, 972, -405, -54, 315, -243, 66, -81, 35, -2, -5, 4, -2, 1, -1], [-2777490, 1508301, -633015, 827091, -558765, 160938, -27765, 2739, -24, -19357, 20005, -7466, 3145, -3143, 1105, -247], [-174960, 748683, 239355, 132273, -80325, -66816, 6705, -17913, 14658, -3071, 4205, 32, -1345, -349, -385, 229], [234009, -1892484, -92826, 580446, -23193, 257463, -249354, 121413, -57327, 3608, -899, -3971, 9448, -4148, 982, -727], [-2219805, -1853118, -680400, 1028052, 397035, -1899, -103500, -26547, 11127, -33094, -935, 4903, 6550, 514, -1520, -619], [3171150, -2186271, 786105, -1062801, 556335, -19458, -44865, 63771, -55416, 41647, -24115, 4346, -55, 1193, 905, -503], [1570266, -629127, 840051, -487377, 180333, -182646, 59139, 15513, 636, 15379, -7801, 5522, -3523, 1091, -367, 499], [-640791, 4547502, -1334556, 577692, -967923, 163791, 119916, -84333, 106629, -37874, 33671, -11947, -2902, -286, -88, 1291], [-968841, 271917, 17739, 190107, -13338, -140499, 53361, -32178, 22839, -11159, 3176, 3413, -1717, 269, -883, 376]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '630.2.i.i', 'level': 630, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2520, 'analytic_conductor': 5.030575327340665, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [630, 3, [281, 127, 451], [1, 3, 1]], 'conrey_index': 121, 'cusp_dim': 272, 'dim': 64, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13], 'hecke_orbit_code': 549789368950, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 12, 12, 12, 16], 'label': '630.2.i', 'level': 630, '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, 7], 'level_radical': 210, 'mf_dim': 304, 'mf_new_dim': 64, 'num_forms': 9, 'prim_orbit_index': 8, 'relative_dim': 32, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 4, 4], 'traces': [64, 0, 0, 64, 4, 4, 4, 0, 8, 0, -4, 0, -4, -2, 4, 64, 16, 16, 8, 4, 24, 0, 12, 4, -32, 8, -12, 4, 10, -2, 8, 0, 40, 0, 0, 8, -4, 24, -4, 0, -22, -4, -4, -4, -2, 6, -24, 0, -2, 0, -48, -4, -8, -20, 0, -2, -52, 0, -40, 4, 44, -64, 12, 64, 8, 0, 56, 16, -56, 12, -88, 16, 56, 12, 0, 8, -100, -48, 32, 4, 8, 0, 24, 24, -12, -20, -60, 0, 2, 0, 32, 12, 12, 24, 0, 4, -4, 0, 64, -32, 12, -12, -28, 8, -40, 0, -48, -12, -10, -48, -56, 4, 4, -76, 0, 10, -68, 0, 16, -2, -44, -80, 84, 8, -8, -98, 8, 0, 82, 0, -4, 40, -64, 60, -8, 0, -56, -4, -4, 0, -76, 0, 4, 8, 6, 12, 0, -4, 10, -2, -40, 24, 20, -24, 16, -4, -64, -104, 80, 0, 70, 16, -4, -22, -24, 6, -96, -4, -24, 0, 16, -4, -168, -50, -8, -4, -76, 24, -4, -2, -28, -4, 36, 6, -64, -92, -72, -24, -18, 0, 32, 0, -16, 16, -24, -2, -168, -4, -76, 0, -146, -48, -4, -48, -12, 12, -120, -4, -52, 28, -16, -8, 40, 6, 20, -20, -40, -24, 88, 0, 152, 36, 8, -2, 2, 0, -4, -52, 20, 42, 112, 0, 24, 36, -12, -40, 16, 0, -28, 4, -16, -24, 180, 44, -26, 52, -32, -64, -34, 0, 304, 12, -48, 144, 24, 64, 64, 96, 104, 8, 88, 0, 48, 0, 0, 20, 48, 56, 10, 28, -28, 16, 56, 24, -4, -56, 32, 56, 104, 12, 8, -108, 8, -88, -16, 0, 216, 16, -44, 40, 104, 56, 124, 142, 0, 12, 136, -24, 168, 0, 32, 20, 180, 8, 2, -100, 56, -100, 22, 0, 192, -48, 32, -56, 64, 32, 40, -24, -24, 4, -84, -72, 144, 8, -4, 52, 156, 0, 46, 40, -88, 24, -44, 6, 12, 24, 56, -64, -8, -12, -124, 100, -128, -20, -10, -168, 168, -60, -46, -2, -100, 0, 104, 12, 0, 2, 16, 36, 60, 0, 0, -160, 304, 32, 20, -6, 92, 12, 234, 0, 68, 12, 56, 104, 4, 24, 280, -76, -16, 0, -120, -48, -36, 4, 0, 0, 24, -4, 12, 40, -72, 0, 8, -48, 32, 64, 8, 144, -92, -32, 80, -80, 52, 12, -98, -6, 144, -12, 32, -32, 168, -28, -124, 26, -12, 8, 120, -24, -84, -40, 8, 52, -32, 0, -32, -164, -40, -48, -104, -36, -120, -12, 8, -112, -128, -10, -96, -8, -64, -48, -148, -168, 16, -56, 36, -4, 16, 4, 64, -8, 48, 4, -100, 72, 8, -76, 104, 24, -72, 0, -180, 140, 44, 10, 4, -24, 28, -68, 68, -28, 32, 0, -208, -40, 8, 16, -12, 24, -36, -2, -44, 112, -176, -44, -60, 64, 8, -80, 156, 0, 100, 84, -24, 132, 32, 8, 204, -32, -64, -8, -218, 0, -128, -98, 72, -40, -132, 8, -198, -12, -136, 0, -148, 24, 28, 82, 60, 232, 80, 0, -28, 120, -148, -4, 24, -36, -52, 40, -62, 56, 232, -64, -156, 14, 0, 60, -136, -72, -196, -8, 110, 136, -168, 0, 66, 160, -124, -56, -278, 0, 224, -4, -184, -40, 24, -4, -132, 52, -488, 0, -8, 48, 56, -76, 0, -48, 216, 0, -368, 64, -40, 4, -216, 0, -24, 8, -100, 176, -224, 6, -114, 184, -216, 12, -168, -24, -100, 0, -152, 0, -28, -4, 56, -132, 24, 10, -84, -72, -40, -2, 128, -100, 40, -40, 20, 90, -52, 24, 84, 0, 124, 20, -52, 116, 136, -24, 64, 12, -100, 16, 34, -96, -216, -4, -32, 112, 144, -64, 8, 76, -40, -104, -124, -48, 76, 80, 116, 144, -84, 0, -230, 248, 32, 70, 114, 0, -136, 16, 12, 8, -296, -4, 72, 42, 0, -22, -136, 120, -96, -24, 56, -16, -408, 6, 116, -136, 36, -96, 146, 6, -256, -4, 56, -124, 24, -24, -96, 76, -220, 0, -80, 24, 188, 16, 0, -8, -64, -4, 0, 64, 8, -168, 228, 168, 144, -50, 240, 60, -232, -8, 124, 72, -68, -4, 114, 0, -300, -76, -52, 64, -52, 24, 208, -80, 60, -4, 8, -48, -256, -2, 104, -80, 76, -28, -20, 6, 20, -4, -76, 0, -68, 36, 20, -24, -152, 6, 36, 104, 128, -64, -252, 72, -160, -92, 54, 16, -284, -72, 256, 4, 224, -24, 392, 192, -152, -18, 296, 288, 208, 0, -300, 88, -88, 32, -40, -36, -92, 0, -4, 64, 128, -16, -20, 70, -4, 16, -240, 48, 68, -24, 36, 44, -360, -2, 44, -108, 344, -168, 58, 0, -144, -4, 4, -160, -96, -76, -156, 16, 12, 0, -152, 0, 104, -146, -78, 0, -52, -48, -48, 0, 8, -4, -208, -48, 96, -48, 400, -288, 200, -12, -344, 264, 104, 12, 16, -36, -424, -120, 116, 26, 292, -4, 328, -304, 120, -52, -132, 0, -92, 28, 46, 4, 48, -16, 100, 264, 220, -8, 12, 0, 312, 40, 260, 24, 28, 6, -44, -228, 20, 20, 154, -24, -128, -20, 72, 56, -252, -40, -228, 120, 40, -24, 320, 96, 0, 88, -52, 240, 60, 0, 332, 160, 80, 152, -192, 180, -108, 36, 50, 48, 64, 8, 184, 76, 48, -2, 136, 192, -172, 2, -96, 116, -164, 0, -102, -124, -124, -4, -18, -96, 84, -52, 0, -400, -156, 20, 40, 48, 92, 42, 258, -24, 132, 112, -4, 44, 380, 0, 344, 56, -28, 24, 244, -36, 148, 36, 104, -372, 164, -12, -40, -32, 72, -40, 116, 144, 264, 16, 40, 24, 28, 0, 120, -124, 0, -28, 300, 48, 132, 4, -72, 184, -132, -16, 104, -48, -64, -24, 308, 24, -172, 180, 200, 108, -16, 44, 456, -200, 0, -26, -80, -144, -208, 52, 0, -116, -48, -32, 170, -44, -28, -64, 688, 12, 8, -34, -28, 156, 172, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 422366
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '630.2.i.i', 'target_level': 630, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 422367
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '630.2.i.i', 'target_level': 630, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 422368
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '630.2.l.i', 'target_level': 630, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422369
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '630.2.l.i', 'target_level': 630, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 422370
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1890.2.i.i', 'target_level': 1890, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 422371
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 9, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1890.2.i.i', 'target_level': 1890, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 422372
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1890.2.l.i', 'target_level': 1890, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 422373
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 16, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '630.2.i.i', 'source_level': 630, 'target_char_orbit': 12, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1890.2.l.i', 'target_level': 1890, 'twist_class_label': '630.2.i.i', 'twist_class_level': 630, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1140000
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 36029346808332918, 'p': 2}
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id: 1140001
{'charpoly_factorization': [[[6561, -4374, 3645, -1215, 648, -216, -180, 153, -183, 51, -20, -8, 8, -5, 5, -2, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 3}
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id: 1140002
{'charpoly_factorization': [[[1, -1, 1], 8]], 'hecke_orbit_code': 36029346808332918, 'p': 5}
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id: 1140003
{'charpoly_factorization': [[[5764801, -3294172, 1764735, -773122, 204085, -80262, 14455, 2450, -39, 350, 295, -234, 85, -46, 15, -4, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 7}
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id: 1140004
{'charpoly_factorization': [[[2916, 28188, 188406, 627426, 1493181, 1987308, 1937466, 1194714, 562494, 156501, 39862, 4688, 2018, 116, 53, -1, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 11}
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id: 1140005
{'charpoly_factorization': [[[2298256, 6900832, 15234300, 16719280, 14639257, 6671493, 3205075, 684178, 433476, 52582, 34540, 477, 1834, -8, 54, -2, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 13}
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id: 1140006
{'charpoly_factorization': [[[8707129344, -11972302848, 17265612672, -2178566928, 2370323817, -330564807, 215458947, -26237682, 11605383, -1438209, 453195, -48267, 10767, -999, 172, -11, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 17}
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id: 1140007
{'charpoly_factorization': [[[1174158756, 1769359176, 2158008918, 1231454664, 652539913, 153664667, 75895571, 14051506, 5715978, 637458, 235788, 19245, 6918, 280, 98, 2, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 19}
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id: 1140008
{'charpoly_factorization': [[[927567936, 1413280224, 2201299416, 642142404, 547995969, 44990154, 97089705, -101754, 8326524, -1244817, 516169, -56534, 11912, -1007, 176, -11, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 23}
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id: 1140009
{'charpoly_factorization': [[[17639292969, -48483252837, 110947789962, -58028658471, 24575037471, -6789615372, 1743315804, -351438732, 70777128, -11447856, 1821232, -225260, 28451, -2735, 278, -17, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 29}
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id: 1140010
{'charpoly_factorization': [[[27294, -36302, 13629, 1420, -1946, 292, 46, -15, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 31}
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id: 1140011
{'charpoly_factorization': [[[147622500, -2308986000, 34261002250, -29017050460, 23529518011, -3683050217, 1552868072, -89262833, 71688606, -1916286, 1541301, -11501, 23858, -50, 187, 2, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 37}
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id: 1140012
{'charpoly_factorization': [[[86812992387801, 12647350897902, 8136771273864, 402751302138, 381671616141, 9476498448, 11620565451, -9845874, 245168532, -2777112, 3702942, -84663, 39076, -901, 270, -7, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 41}
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id: 1140013
{'charpoly_factorization': [[[285914281, 1330433938, 4526436618, 6805283222, 7532421827, 2987533494, 1045232041, 205695460, 48039750, 7267054, 1454068, 158697, 23078, 1787, 234, 13, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 43}
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id: 1140014
{'charpoly_factorization': [[[-423063, 406404, -37818, -50121, 9951, 966, -209, -5, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 47}
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id: 1140015
{'charpoly_factorization': [[[1238515248996, 716382524376, 506947936338, 92330519760, 45774547983, 3808368603, 3097006380, 66347235, 108882912, -1726038, 2838763, -106899, 38448, -2630, 399, -18, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 53}
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id: 1140016
{'charpoly_factorization': [[[1458, -11124, 25713, -22311, 5748, 246, -155, 1, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 59}
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id: 1140017
{'charpoly_factorization': [[[-502368, 898440, -611453, 203910, -33888, 2006, 156, -27, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 61}
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id: 1140018
{'charpoly_factorization': [[[40406508, 5028960, -2320437, -227405, 44516, 2779, -353, -10, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 67}
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id: 1140019
{'charpoly_factorization': [[[-7422678, 14580, 1116099, 131949, -28107, -5670, -168, 19, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 71}
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id: 1140020
{'charpoly_factorization': [[[2143296, 3882528, 12384024, 21750732, 52769077, 76189157, 92478587, 66554746, 35783472, 10754460, 2413146, 345057, 38910, 2596, 194, 8, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 73}
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id: 1140021
{'charpoly_factorization': [[[-406534, 615718, -377959, 117846, -18231, 726, 175, -25, 1], 2]], 'hecke_orbit_code': 36029346808332918, 'p': 79}
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id: 1140022
{'charpoly_factorization': [[[2857962683601, 1411385241717, 1490295654990, -211647489975, 229179273264, -8778869019, 11108005821, -646842591, 344131362, -12293469, 5425806, -181731, 59479, -950, 285, -2, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 83}
-
id: 1140023
{'charpoly_factorization': [[[99588211776, -261580946400, 812199516120, 298622599884, 188866782837, 21704323815, 11015185194, 643546485, 520688268, 2106420, 7690357, 66627, 80562, 110, 351, 6, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 89}
-
id: 1140024
{'charpoly_factorization': [[[1545178274704, 1714109041504, 2147276158380, 299843403512, 267155797613, -161539486848, 76868712919, -19206109952, 3675013929, -482307254, 50715262, -3815676, 253103, -12640, 720, -26, 1], 1]], 'hecke_orbit_code': 36029346808332918, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 9, 'label': '630.2.i.i', 'level': 630, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52146421
{'hecke_orbit_code': 36029346808332918, 'n': 1, 'trace_an': 16}
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id: 52146422
{'hecke_orbit_code': 36029346808332918, 'n': 2, 'trace_an': -16}
-
id: 52146423
{'hecke_orbit_code': 36029346808332918, 'n': 3, 'trace_an': 2}
-
id: 52146424
{'hecke_orbit_code': 36029346808332918, 'n': 4, 'trace_an': 16}
-
id: 52146425
{'hecke_orbit_code': 36029346808332918, 'n': 5, 'trace_an': 8}
-
id: 52146426
{'hecke_orbit_code': 36029346808332918, 'n': 6, 'trace_an': -2}
-
id: 52146427
{'hecke_orbit_code': 36029346808332918, 'n': 7, 'trace_an': 4}
-
id: 52146428
{'hecke_orbit_code': 36029346808332918, 'n': 8, 'trace_an': -16}
-
id: 52146429
{'hecke_orbit_code': 36029346808332918, 'n': 9, 'trace_an': -6}
-
id: 52146430
{'hecke_orbit_code': 36029346808332918, 'n': 10, 'trace_an': -8}
-
id: 52146431
{'hecke_orbit_code': 36029346808332918, 'n': 11, 'trace_an': 1}
-
id: 52146432
{'hecke_orbit_code': 36029346808332918, 'n': 12, 'trace_an': 2}
-
id: 52146433
{'hecke_orbit_code': 36029346808332918, 'n': 13, 'trace_an': 2}
-
id: 52146434
{'hecke_orbit_code': 36029346808332918, 'n': 14, 'trace_an': -4}
-
id: 52146435
{'hecke_orbit_code': 36029346808332918, 'n': 15, 'trace_an': 1}
-
id: 52146436
{'hecke_orbit_code': 36029346808332918, 'n': 16, 'trace_an': 16}
-
id: 52146437
{'hecke_orbit_code': 36029346808332918, 'n': 17, 'trace_an': 11}
-
id: 52146438
{'hecke_orbit_code': 36029346808332918, 'n': 18, 'trace_an': 6}
-
id: 52146439
{'hecke_orbit_code': 36029346808332918, 'n': 19, 'trace_an': -2}
-
id: 52146440
{'hecke_orbit_code': 36029346808332918, 'n': 20, 'trace_an': 8}
-
id: 52146441
{'hecke_orbit_code': 36029346808332918, 'n': 21, 'trace_an': -15}
-
id: 52146442
{'hecke_orbit_code': 36029346808332918, 'n': 22, 'trace_an': -1}
-
id: 52146443
{'hecke_orbit_code': 36029346808332918, 'n': 23, 'trace_an': 11}
-
id: 52146444
{'hecke_orbit_code': 36029346808332918, 'n': 24, 'trace_an': -2}
-
id: 52146445
{'hecke_orbit_code': 36029346808332918, 'n': 25, 'trace_an': -8}
-
id: 52146446
{'hecke_orbit_code': 36029346808332918, 'n': 26, 'trace_an': -2}
-
id: 52146447
{'hecke_orbit_code': 36029346808332918, 'n': 27, 'trace_an': -7}
-
id: 52146448
{'hecke_orbit_code': 36029346808332918, 'n': 28, 'trace_an': 4}
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