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Table mf_newspaces

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

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{'ALdims': [58, 62, 66, 60], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4], 'ALdims_old': [22, 25, 21, 23], 'Nk2': 14308, 'analytic_conductor': 28.562488803011995, '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': [3577, 1, [3286, 589], [1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 246, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33558009, 'hecke_orbit_dims': [1, 2, 2, 3, 3, 6, 6, 9, 10, 18, 18, 22, 22, 26, 26, 36, 36], 'id': 790362, 'label': '3577.2.a', 'level': 3577, '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': [7, 73], 'level_radical': 511, 'mf_dim': 352, 'mf_new_dim': 246, 'num_forms': 17, 'plus_dim': 118, 'prim_orbit_index': 1, 'relative_dim': 246, 'sturm_bound': 690, 'trace_bound': 5, 'trace_display': [-2, 2, 0, 0], 'traces': [246, -2, 2, 248, 0, 0, 0, -12, 244, 4, -2, 6, 4, 0, 4, 252, -12, -36, 8, -4, 0, -26, -10, -6, 248, -8, -4, 0, -16, 8, 18, -46, -4, 4, 0, 264, -24, 2, 4, 24, -28, 0, 6, -10, 16, -58, 10, 20, 0, -14, -20, -24, -8, 34, 48, 0, -6, -8, -14, 44, -2, -6, 0, 254, -28, 56, -32, -4, 20, 0, -22, -122, -2, -58, -28, 30, 0, 28, 6, 8, 182, -40, -18, 0, -26, 54, -24, 26, -28, 36, 0, 4, -8, 46, -44, 14, 22, 0, -10, 222, -40, -16, 30, -24, 0, 24, -18, 86, -26, -18, 74, 0, -32, 0, 12, 4, 16, 22, 0, 36, 216, 70, -24, 106, 36, 0, -34, -38, -52, -74, -26, 32, 0, -86, 88, -8, -32, 66, 2, 0, 40, -44, -42, 198, -26, -8, 0, -130, -60, 10, -6, 48, -52, 0, 48, -100, 0, -32, 4, 8, 0, -228, -58, -72, -2, -14, -50, 0, 216, -110, -50, -86, -14, -128, 0, -18, 52, -90, -22, -28, 0, 0, -36, -50, -76, 12, 26, 66, 0, -20, 34, 74, -116, -92, 54, 0, -36, -86, 54, -166, -2, -88, 0, -36, -44, 46, 64, -80, -56, 0, -48, -84, 34, 90, -78, 140, 0, 40, 8, 38, -14, -32, -4, 0, 162, 52, 38, -86, -8, 40, 0, -184, -84, -116, 14, 10, 34, 0, -18, 196, 56, -72, 20, 108, 0, -40, 8, -58, -40, 24, 18, 0, -40, 42, -20, 408, -86, -72, 0, -174, -12, -90, -82, -44, -26, 0, -14, -10, -34, -216, 22, -84, 0, 38, -94, 70, -24, -34, 126, 0, 48, -136, -132, -194, -4, 114, 0, -462, 106, -98, 66, -6, 8, 0, -92, -184, -76, -108, -64, -174, 0, -118, -128, 94, -196, 124, -14, 0, 28, -208, 18, -124, 24, -128, 0, 126, -24, -124, -22, 148, -32, 0, -220, 38, 48, 174, -2, -188, 0, -224, -26, -118, -118, 58, -12, 0, -108, -36, -56, 64, -40, 0, 0, 74, 168, -70, 124, 20, -90, 0, -68, -46, 50, -100, -76, -18, 0, -110, -46, 248, 194, 102, 26, 0, 10, 262, 172, 26, -204, -12, 0, -108, -60, 20, 40, -54, -6, 0, 86, 92, 136, 126, 80, -188, 0, -24, -22, -162, 134, 124, 168, 0, -104, -28, -68, -234, 108, -70, 0, 200, -28, -236, -64, -208, 44, 0, 220, -292, 44, 164, 182, 38, 0, -150, -94, 108, -244, -192, -14, 0, -56, 166, 66, 132, -188, -106, 0, -26, -68, 102, -146, 158, 120, 0, 16, -10, 14, 4, 4, -104, 0, -284, 146, 146, 8, -136, 124, 0, -84, -306, 100, -24, 48, -170, 0, 86, -62, -44, -292, 84, 20, 0, -80, -228, 96, -204, -70, -396, 0, 314, -64, -122, -82, 18, 274, 0, 124, 70, -32, -56, 84, 168, 0, 228, -184, 198, 52, 198, 32, 0, -178, -72, -56, -88, 282, 186, 0, 12, 36, 104, 140, 146, 18, 0, -200, -132, 330, 128, -140, 126, 0, 96, -56, 0, 274, -96, -150, 0, -148, 200, -88, -64, 76, -82, 0, 178, 124, 120, 80, 222, -62, 0, -192, -36, -158, -36, -64, -10, 0, 260, -60, 202, -14, -44, -148, 0, 50, -230, -92, 326, 48, 8, 0, 148, 104, -22, -212, 118, 142, 0, -202, 44, 6, 500, 156, 108, 0, 66, 76, -228, 250, 40, -168, 0, 366, 208, 4, 252, 32, 148, 0, 266, -186, -24, -390, 152, 120, 0, -48, 436, -136, -174, -30, 24, 0, 164, -72, -152, -38, -240, 44, 0, 130, -46, 132, 264, -28, 50, 0, 244, -94, 24, -60, 222, 44, 0, -32, 56, -68, 124, -150, 126, 0, -192, 186, -124, -220, 112, -144, 0, 114, 178, 150, 208, 244, -152, 0, 64, -142, -100, -108, -244, -10, 0, -144, 384, -14, -260, 84, -76, 0, -322, 74, -242, 20, -180, -10, 0, -196, -198, 46, 42, -2, 138, 0, 84, 252, -158, -324, 104, -48, 0, -156, -424, -134, -172, -164, -264, 0, -298, -24, -144, 214, -198, -148, 0, 180, -82, -86, 124, -34, 168, 0, -40, -82, -368, -148, 100, 148, 0, -56, 152, 92, -198, 56, -110, 0, 140, -48, 368, -70, -36, 16, 0, -76, -322, -24, 76, -118, 116, 0, 28, -28, 182, -12, -234, 114, 0, 352, 6, 252, -234, 28, 168, 0, 8, 68, -28, 118, 36, 164, 0, 230, -232, -68, 22, -122, 86, 0, 420, 398, 210, 80, -220, 58, 0, -148, 438, -252, -256, -192, 218, 0, 238, -32, -306, 360, -150, 4, 0, -22, -72, 20, -18, -78, -370, 0, 52, 176, 54, -168, -56, -140, 0, -34, 736, 20, -60, 8, 208, 0, -122, -168, -284, 212, -106, 94, 0, 4, -404, -210, 256, -20, -270, 0, -108, 208, -452, -284, -144, -164, 0, 40, 136, 124, 108, 52, -132, 0, -132, -188, 368, -206, 186, 24, 0, 250, -34, -52, -8, 0, 116, 0, -256, 78, 40, 208, -76, -134, 0, 106, 220, -228, 158, -16, 18, 0, 60, 204, -452, 2, 72, -76, 0, 232, 50, -50, -38, 30, 16, 0, 414, -206, 494, -24, -64, -152, 0, 188, -514, 192, 78, 46, 246, 0, 20, -276, 262, 332, -270, 44, 0, -190, -382, -88, -78, -86, -82, 0, 124, -134, 168, 12, 312, -140, 0, -4, 172, 28, 196, 132, 348, 0, 108, -68, 200, -118, 72, -236, 0, -8, -360, -32, 274, -264, -16, 0, 24, 94, 232, -252, 226, 68, 0, -414, -194, 90, -152, -32, -368, 0, 92, 400, 142, -264, -548, -48, 0, 36, 152, 218, -20, 28, 122, 0, -96, -330, 88, 6, 246, -180, 0, -448, 312, 290, 198, 94, -404, 0, -52, 194, 268, -154, 8, -424, 0, -46, -122, -72, -612, -86, 626, 0, -108, -596, 250, -88, -332, -148, 0, 522, 162, -122, 228, -38, 518, 0, -148, 364, 60, 142, 234, -40, 0, -324, 404, -6, -206, 248, 156], 'weight': 2, 'weight_parity': 1}