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Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

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{'ALdims': [13, 18], 'ALdims_eis_new': [10, 11], 'ALdims_eis_old': [1, 1], 'ALdims_old': [2, 2], 'Nk2': 2116, 'analytic_conductor': 4.224086266925732, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [529, 1, [5], [1]], 'conrey_index': 1, 'cusp_dim': 35, 'dim': 31, 'eis_dim': 23, 'eis_new_dim': 21, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33554961, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 3, 4, 4, 5, 5], 'id': 133448, 'label': '529.2.a', 'level': 529, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [23], 'level_radical': 23, 'mf_dim': 58, 'mf_new_dim': 52, 'num_forms': 10, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 31, 'sturm_bound': 92, 'trace_bound': 7, 'trace_display': [1, 0, 2, -2], 'traces': [31, 1, 0, 23, 2, 8, -2, 3, 7, -6, 6, -2, -6, -4, 10, 3, -6, 5, 4, 4, 10, 2, 0, -26, -13, 6, 6, 6, 8, -10, 2, -3, -10, 8, -6, -17, -2, -2, 6, 10, 0, 0, 0, -8, 4, 0, -18, 24, -29, -29, -10, 12, 8, 4, 8, 10, 0, 6, 4, 0, -4, -8, -4, -39, 6, -10, 10, -2, 0, -10, -14, 15, -14, 6, -12, -2, 24, -40, 4, -18, -25, 24, 22, -10, 26, 0, 14, -10, 12, -12, -6, 0, 20, 22, 8, -24, -22, 3, 12, -61, 14, 20, -14, 20, 16, -14, 0, -62, 0, 26, -10, -12, -22, -10, 0, -14, 8, 14, 14, 10, -79, 22, -10, 32, 12, -8, 36, 51, 0, -18, -8, 20, 16, -10, -10, -10, 8, 0, -4, -84, 6, -22, 18, -55, -6, 46, -30, -4, -12, 44, 8, 0, -12, 34, -30, 18, -4, 18, 20, 4, 0, -5, 28, 20, 4, -16, 2, -10, -79, 2, 8, 0, -12, -118, 18, 6, 40, 4, 24, 8, -2, -12, -40, 0, 12, 22, 20, -20, -10, 48, 30, 32, 14, -4, 30, -69, 14, 4, 38, -75, 10, 22, 6, -10, 22, 32, 0, 28, 4, -94, 44, 6, 40, -30, 22, -14, -30, 0, 4, 24, -18, 10, 14, -14, -99, 16, 2, 10, 24, 0, -30, 42, 44, 12, 10, 48, -40, 20, -6, -30, 6, 9, 28, -18, -22, 62, 12, -112, 10, 4, -18, 12, 0, -12, -40, -105, 22, 0, 34, 12, 50, 34, 12, 30, 2, 44, -20, 0, 14, 10, 16, 24, 30, 36, -14, 0, -12, 34, 36, 18, 22, 56, -42, 62, -44, 6, 18, -159, -123, 18, 30, -38, 12, 40, -16, -10, 10, -34, 0, 60, 36, 32, 66, -6, 78, 16, 4, 34, -50, 30, 30, -102, -4, 32, 34, -22, -2, -30, -18, 14, 60, 0, 12, -97, 32, -12, 0, 38, 10, -156, 30, -6, -4, 56, 24, 0, -20, 45, -10, 72, 30, -4, -4, 0, 0, 20, 12, 90, 0, -4, 52, 32, 56, -10, 10, -16, 74, 32, 4, 20, -117, -34, 114, 18, 42, 30, -14, 0, 18, -72, -134, 16, -2, -202, -20, 52, 52, 0, -4, 56, 72, 10, -32, -4, 24, 28, 0, 26, -60, -30, 0, 69, 80, 58, 80, -16, -118, -34, -136, -63, 6, -30, -142, 76, -22, 12, 46, -30, -144, -26, -80, -18, -24, 0, -18, 54, -150, 16, 36, -176, 34, 84, -16, 20, -26, 128, -92, 30, -30, 72, 44, -88, -58, 0, -30, 0, 0, 118, -112, 86, -139, 24, 12, 0, 48, 64, 80, 6, 50, -1, -14, 6, -116, 24, 40, 20, -30, -12, 10, 0, 12, 84, 90, 20, -30, 22, 44, -194, -130, -10, -60, 108, 44, 10, 4, 16, 16, 86, -14, 40, -6, 42, 0, -123, -64, 48, -126, -40, 54, 26, 2, 46, 18, -6, -118, 44, -30, -60, -10, -16, 40, 24, 36, 20, -20, 0, -142, 72, 34, 12, -2, 49, 0, 62, 114, 0, -10, -252, 98, 30, -36, 92, -42, 118, -10, -26, 30, -30, 0, -154, 60, -84, -224, -20, -2, 10, 90, -168, 14, 0, 82, 74, 70, -22, -222, 0, 28, -44, -8, -18, -12, 0, -106, -186, 98, 16, -12, 80, 0, -88, 0, -16, 48, 124, -178, 6, 22, 10, 22, -192, 42, -24, -50, -4, 0, -117, 32, -143, -66, -12, 70, 40, 44, 72, 12, -16, 104, 4, 0, 8, 64, 18, -222, 10, -24, 46, 30, 0, -12, 32, -8, 50, 20, 106, -54, 102, -178, 18, -30, -220, 64, -4, 2, 114, 30, -108, 24, 60, -12, 0, 0, 44, 94, -174, -153, -48, -152, -28, -228, 104, 20, -40, 8, 66, -58, 10, -98, -6, 46, -30, -28, -30, 10, 0, 70, 84, 56, 113, 32, -126, 30, 100, 82, 0, -6, 144, 40, 0, -10, 104, 28, 116, -30, 10, 16, 12, 0, 90, -98, 150, 32, 50, -202, -20, 132, -139, -36, 60, 8, -208, -50, 30, 42, -4, 154, 32, 0, 0, 24, 0, 4, 156, -16, 90, 22, -84, -26, -194, 34, -14, 30, -78, -104, 2, 10, 18, -20, 114, 26, -50, 8, -20, 0, 108, -22, 104, 72, 38, 100, -36, 118, 69, -90, 36, -172, -20, 42, 30, -155, -86, 72, 10, 58, 32, -30, 0, 28, -264, -200, 116, 0, 140, -42, 182, 8, -14, 44, 122, 4, -20, 44, 46, -30, -172, -6, 10, 46, -48, 0, 112, 42, 66, 96, -40, 156, 36, -240, 70, 6, 8, 80, 136, 20, 0, 152, 30, -88, 40, 4, 0, 70, 0, 90, -167, -126, 128, -76, 122, 40, -126, 68, -20, -12, 114, 52, -4, 24, -264, -10, -17, 24, 22, 46, 20, 0, 46, 38, 150, 18, 66, 136, -18, 104, 120, -26, 60, -96, -236, -12, 4, 140, 20, 88, -50, 50, -8, -12, 0, 62, 94, 114, 100, 26, 154, 32, 160, 14, -48, 42, -112, -177, -32, 10, -6, -8, 178, -66, -42, 30, 48, 0, 94, -144, -42, 120, 60, 84, -30, -68, -316, -10, -32, 40, 78, -12, 54, 38, 30, 34, 30, 30, 0, -44, 0, 126, 138, 150, 64, 20, -24, -66, 175, 78, -6, 0, 118, 86, -10, -2, -106, -66, 168, 0, -10, -42, 20, 0, 102, 92, -67, 124, -18, -56, -10, 16, 106, 0, -26, -90, 196, 0, -30, 26, 60, -170, -12, -54, -20, -42, 0, 78, 154, 20, -230, -22, -414, -28, -340, -104, 90, -4, -394, 170, -42, -8, 144, -46, -368, 100, 0, 18, 40, 0, 116, 56, -406, 142, 30, -158, -22, 166, 214, -32, -28, 118, -360, 30, -48, 188, 30, -247, 18, 0, -48, -38, 0, 72, -301, 152, -208, -24, -30, 38, 120, 22, 66, 78, 120, 44, -4, 0, -334, 72, 34, 26, -24, -10, -6, 0, -272, 42, -210, 48, -40, 32, 50, -68, -388, 10, -20], 'weight': 2, 'weight_parity': 1}