Database - hmf_hecke (Hecke eigenvalues of Hilbert modular forms)

Formats: - HTML - YAML - JSON - 2026-06-13T20:31:48.679873 - next page

Query: /api/hmf_hecke/?_offset=0

Column	Type
AL_eigenvalues	jsonb
hecke_eigenvalues	jsonb
hecke_polynomial	text
label	text

0. label: 3.3.49.1-27.1-a
   {'AL_eigenvalues': [['[27, 3, 3]', -1]], 'hecke_eigenvalues': [-5, -4, 1, 1, 1, 1, 4, 4, 4, -10, -10, -10, 5, 5, 5, -6, -6, -6, 6, 6, 6, -6, -6, -6, 10, 10, 10, 22, -15, -15, -15, -3, -3, -3, -14, -14, -14, 13, 13, 13, 16, 16, 16, 4, 4, 4, 16, 16, 16, 6, 6, 6, -8, -8, -8, -4, -4, -4, 8, 8, 8, -17, -17, -17, 13, 13, 13, -14, -14, -14, 3, 3, 3, 30, 30, 30, -7, -7, -7, 31, 31, 31, -18, -18, -18, 20, 20, 20, -17, -17, -17, -28, -28, -28, -42, -42, -42, 28, 28, 28, 16, 16, 16, -9, -9, -9, -6, -6, -6, 8, 8, 8, -19, -19, -19, 36, 36, 36, -41, -41, -41, 0, 0, 0, -13, -13, -13, 42, 42, 42, -22, -22, -22, -49, -49, -49, -8, -8, -8, 32, 32, 32, -30, -30, -30, -44, -44, -44, 35, 35, 35, 24, 24, 24, -13, -13, -13, -24, -24, -24, 15, 15, 15, 44, 44, 44, 19, 19, 19], 'hecke_polynomial': 'x', 'label': '3.3.49.1-27.1-a'}
1. label: 3.3.49.1-49.1-a
   {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1]], 'hecke_eigenvalues': [0, -5, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -12, -12, -12, 16, 16, 16, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, -26, -26, -12, -12, -12, 0, 0, 0, 16, 16, 16, 0, 0, 0, -26, -26, -26, 0, 0, 0, 0, 0, 0, 30, 30, 30, 0, 0, 0, -12, -12, -12, 0, 0, 0, -26, -26, -26, 0, 0, 0, 2, 2, 2, 0, 0, 0, -40, -40, -40, 44, 44, 44, 0, 0, 0, 44, 44, 44, 0, 0, 0, 0, 0, 0, -26, -26, -26, 16, 16, 16, 0, 0, 0, 44, 44, 44, 30, 30, 30, 2, 2, 2, 0, 0, 0, -40, -40, -40, -54, -54, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 44, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, -12, 16, 16, 16, 0, 0, 0, 58, 58, 58, -40, -40, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-49.1-a'}
2. label: 3.3.49.1-41.1-a
   {'AL_eigenvalues': [['[41, 41, w^2 - w - 5]', -1]], 'hecke_eigenvalues': [-2, -1, -6, -6, 4, -2, 0, 0, 10, 1, 12, 2, -6, 4, 4, -8, 12, -8, 4, -6, 4, -2, -2, -2, -16, 4, -6, -14, 18, -12, 8, -20, 0, 20, -12, 18, -12, 2, -18, -18, 8, -22, -2, 22, 12, 12, 4, 14, 24, -20, 0, 10, -8, 12, 12, -18, -18, 2, -6, 14, 14, -12, 8, 18, -22, 28, -22, -30, 10, 20, 10, -20, 30, -20, -10, -20, -18, 2, 22, 34, 4, -16, 10, -30, 30, -18, 12, 32, -36, 4, 34, 2, -8, -18, -6, -16, -16, 8, -22, -12, 28, -12, -22, -8, 22, -8, -32, -22, -42, -8, 32, 32, 4, 14, 44, -40, 40, -20, 4, -6, -26, 42, 2, 42, -32, 8, -22, 34, 24, -36, 8, -2, -22, -10, 10, -20, 18, 28, 18, -28, -8, 12, 48, -12, -12, 0, 40, 0, 54, 14, -26, 22, -38, 2, -16, -36, -36, 12, -8, 42, -2, 38, -22, -16, 44, -26, -32, 8, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-41.1-a'}
3. label: 3.3.49.1-56.1-a
   {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[8, 2, 2]', 1]], 'hecke_eigenvalues': [1, -1, -4, -4, -4, 10, -6, -6, -6, 6, 6, 6, 8, 8, 8, 0, 0, 0, -6, -6, -6, -10, -10, -10, 6, 6, 6, 0, -16, -16, -16, 14, 14, 14, -12, -12, -12, 20, 20, 20, -18, -18, -18, -4, -4, -4, 8, 8, 8, 24, 24, 24, -18, -18, -18, -6, -6, -6, 24, 24, 24, 2, 2, 2, 14, 14, 14, -28, -28, -28, -16, -16, -16, 6, 6, 6, -10, -10, -10, -34, -34, -34, 18, 18, 18, 12, 12, 12, 32, 32, 32, -12, -12, -12, 0, 0, 0, 8, 8, 8, -42, -42, -42, 26, 26, 26, 6, 6, 6, -16, -16, -16, 14, 14, 14, -24, -24, -24, 26, 26, 26, 18, 18, 18, 44, 44, 44, 24, 24, 24, 2, 2, 2, 14, 14, 14, -12, -12, -12, 2, 2, 2, -36, -36, -36, 12, 12, 12, 44, 44, 44, -54, -54, -54, 20, 20, 20, 48, 48, 48, 2, 2, 2, -54, -54, -54, 32, 32, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-56.1-a'}
4. label: 3.3.49.1-64.1-a
   {'AL_eigenvalues': [['[8, 2, 2]', -1]], 'hecke_eigenvalues': [-4, 0, 2, 2, 2, -8, -6, -6, -6, 6, 6, 6, -4, -4, -4, 0, 0, 0, 12, 12, 12, -10, -10, -10, 6, 6, 6, -18, 8, 8, 8, 20, 20, 20, -12, -12, -12, -10, -10, -10, 18, 18, 18, -4, -4, -4, 8, 8, 8, -12, -12, -12, 0, 0, 0, 30, 30, 30, 6, 6, 6, -28, -28, -28, -34, -34, -34, 26, 26, 26, 8, 8, 8, -12, -12, -12, -22, -22, -22, -10, -10, -10, -18, -18, -18, -6, -6, -6, -16, -16, -16, 24, 24, 24, 0, 0, 0, 8, 8, 8, 12, 12, 12, 14, 14, 14, 6, 6, 6, -16, -16, -16, 20, 20, 20, 12, 12, 12, 14, 14, 14, -18, -18, -18, 32, 32, 32, -48, -48, -48, 2, 2, 2, -34, -34, -34, 42, 42, 42, -52, -52, -52, -36, -36, -36, -24, -24, -24, -22, -22, -22, 18, 18, 18, 44, 44, 44, 48, 48, 48, 26, 26, 26, -18, -18, -18, -16, -16, -16], 'hecke_polynomial': 'x', 'label': '3.3.49.1-64.1-a'}
5. label: 3.3.49.1-71.1-a
   {'AL_eigenvalues': [['[71, 71, 4*w^2 - 3*w - 5]', -1]], 'hecke_eigenvalues': [-2, -1, 4, -6, 4, 8, -10, 0, -10, -8, 2, 2, 4, 4, -6, 1, -8, 2, 4, 4, 4, 8, -2, 18, 4, 14, -6, 6, 8, 8, 18, -20, 20, -10, -2, -12, 18, 2, 2, 2, 18, -12, -22, -8, 12, 2, 4, -16, 24, 0, 20, -30, 2, -18, 12, -28, 2, 12, -26, -6, 14, -12, 8, -12, -2, 8, -2, -30, 30, -10, -30, -30, -20, -20, 0, -30, -8, 2, 22, 14, -6, 34, -10, 40, -20, 12, -38, -18, 4, -36, -16, 32, 22, 32, -16, 24, -6, -22, -2, 8, 8, 18, -12, 2, -28, -8, 28, -22, 38, -28, 32, -18, 14, -16, -36, 0, -20, -10, 14, 14, -36, 2, 42, -18, 28, 8, -32, 24, -16, -6, 38, -22, -2, 50, 30, 30, -22, -2, -32, 52, -28, 12, -52, -12, 18, 0, 0, 40, -46, 54, 4, 42, 2, -18, 24, -36, -36, -48, 12, 12, 38, -22, 58, 54, -6, 24, 28, 8, -32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-71.1-a'}
6. label: 3.3.49.1-83.1-a
   {'AL_eigenvalues': [['[83, 83, w^2 + w - 7]', -1]], 'hecke_eigenvalues': ['e', '-3/2*e + 1/2', '-1/2*e - 5/2', '-1/2*e - 5/2', '2*e - 2', '-2*e + 3', '3/2*e - 5/2', '-2*e + 5', '-e - 3', 'e - 7', '-e + 9', 'e - 7', '7/2*e - 9/2', 3, 'e - 5', '-e - 2', '-2*e + 6', '1/2*e + 13/2', 1, 2, '-5/2*e + 3/2', 'e + 8', '-3*e - 1', '-1/2*e - 1/2', '-3*e + 15', '-e - 1', '-1/2*e + 31/2', 'e - 5', '-3/2*e - 7/2', '6*e - 2', 'e - 3', '-3*e', '3*e - 7', '-2*e - 8', 4, '-5*e + 3', '2*e - 12', '2*e + 2', '3*e - 6', '-4*e + 9', 'e - 15', '2*e + 18', '3*e + 10', 'e - 1', '2*e - 9', '7/2*e - 1/2', '-4*e + 10', 'e + 11', '-9*e + 9', '2*e - 22', '3*e + 11', '-2*e + 10', '-2*e + 22', '7*e - 9', '-6*e + 13', '-6*e + 2', '17/2*e - 23/2', '-8*e + 18', '3*e - 17', '-3*e - 10', '4*e + 16', '4*e - 11', '8*e - 2', '-13/2*e + 23/2', '-e - 23', '4*e - 22', '-15/2*e + 17/2', '-5*e + 21', '-e - 11', '2*e + 6', '6*e + 4', '3*e - 13', '-e + 19', '-3*e + 34', '-15/2*e + 17/2', '3/2*e - 45/2', '1/2*e + 57/2', '-5*e + 11', 'e - 37', '6*e - 24', '-6*e - 10', '7*e + 9', '4*e + 8', '-6*e + 6', '6*e - 8', '8*e - 12', '-9*e + 1', -30, '-4*e + 4', '4*e + 22', '-3/2*e + 9/2', '-3*e - 17', '4*e - 32', '-10*e - 2', '-8*e - 6', '6*e + 5', '-7*e + 27', '8*e - 8', '-8*e - 3', '6*e + 8', '-2*e + 30', '7*e - 1', '4*e - 18', '4*e - 4', 'e - 21', '-5*e - 14', '-11*e + 9', '1/2*e - 43/2', '-2*e - 22', '13*e - 5', '-13/2*e + 15/2', '11/2*e - 13/2', '15/2*e - 21/2', '3*e + 5', '10*e - 10', '-4*e + 36', '2*e - 12', '2*e - 12', '3*e + 35', '-15/2*e + 33/2', '9*e - 13', 'e - 3', 5, '-7*e - 21', '-10*e - 12', '10*e - 8', '12*e - 24', '15/2*e + 15/2', '-9*e - 4', '-e - 27', '13/2*e - 23/2', '3*e - 45', '3*e + 37', '6*e - 16', '-6*e - 2', '-8*e + 14', 19, '8*e - 4', '-9*e + 9', '-12*e + 6', '4*e - 40', '-5/2*e - 17/2', '-1/2*e - 17/2', 'e', '-4*e + 40', '7*e + 5', '9*e - 11', '23/2*e - 21/2', '-11*e - 1', '-6*e', '2*e + 18', '6*e + 14', '-6*e + 28', '5*e - 19', '-6*e + 30', '-9*e + 13', 'e + 15', '-7*e + 25', '13/2*e - 43/2', '-e - 23', '3*e - 29', '-9*e - 15', '-e + 3', '8*e - 12', '-9*e + 1', '11*e + 5', '-11*e - 10', '-16*e + 30', '7*e - 31'], 'hecke_polynomial': 'x^2 - 2*x - 7', 'label': '3.3.49.1-83.1-a'}
7. label: 3.3.49.1-91.1-a
   {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[13, 13, -2*w^2 + w + 2]', -1]], 'hecke_eigenvalues': [-1, 1, -2, -2, 1, -4, -2, -2, -2, -6, -6, 10, -4, -4, 12, -8, 8, 8, 4, 4, 4, 2, 18, -14, -14, -14, 18, -2, 0, 16, -16, -4, -4, -20, 8, -24, 24, 22, -10, 22, 6, 6, 6, 4, -12, 4, -16, 16, 16, 16, 0, -16, 12, 12, 28, 26, -6, 26, -26, 6, 6, 20, 4, 20, -14, 18, -14, -18, 14, -2, 12, -4, -4, -28, -12, -12, -26, 6, -26, 2, -30, 18, 34, 2, -30, 30, -18, -34, -16, -32, 16, 12, -36, -4, 8, -40, -24, -44, -28, -12, -36, 12, 12, 42, 10, 26, 42, 10, 42, -8, -8, 40, -28, 20, 4, 20, 4, -28, -30, -30, 2, -34, -2, 30, 40, -40, 8, 24, -8, 24, 22, 22, 22, 34, -14, -14, -2, -18, -18, 44, -4, -20, -36, 28, 12, 56, 24, -40, 38, -42, -26, -14, 50, -14, 4, -28, -44, 0, 0, -48, -22, 42, -22, 58, -6, -6, 40, -8, -56], 'hecke_polynomial': 'x', 'label': '3.3.49.1-91.1-a'}
8. label: 3.3.49.1-97.1-a
   {'AL_eigenvalues': [['[97, 97, 3*w^2 + w - 7]', -1]], 'hecke_eigenvalues': [0, 1, -2, -2, -2, -4, -2, -2, 6, 2, 2, -6, 12, -4, -4, 0, -8, 8, 4, -12, 4, 1, 10, 2, -14, 10, 2, 14, 0, 8, 16, 20, -4, -4, 0, -8, -16, -10, 22, 22, -18, 22, 6, 4, -4, 20, 0, -16, 0, 8, 0, -16, -12, -20, 12, -14, -6, 26, -10, 6, 6, 28, -12, 4, 10, 2, -22, -34, -26, 30, 4, -20, 4, 36, 36, -12, -18, -10, 38, 26, -30, -14, 34, 18, 26, -18, -18, 30, -32, -32, 16, 12, -20, -20, 24, 16, 40, 20, 4, 20, -12, 12, 12, -22, 18, -38, -6, 42, 2, -16, -24, -40, 4, -44, -4, 44, -28, 20, 34, 34, 2, -50, -18, 30, 24, 32, -24, -8, -16, -40, 30, -18, 22, -46, -22, -54, 30, -18, -42, -52, 36, -20, -20, -36, 12, 48, -24, -40, 14, 6, -2, -30, 50, 18, 36, 20, -28, 24, 16, 16, -22, -38, 10, -6, 2, -54, -32, -8, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-97.1-a'}
9. label: 3.3.49.1-104.1-a
   {'AL_eigenvalues': [['[8, 2, 2]', -1], ['[13, 13, -w^2 - w + 3]', 1]], 'hecke_eigenvalues': [1, 1, -1, 0, -7, -7, -5, 2, 9, -7, 0, 7, -12, 2, 9, -5, -5, 9, 14, -14, 14, -14, 7, 14, 2, 2, -12, 7, -12, 2, -5, 7, 14, 0, 0, 0, 0, 14, 14, -7, 2, 2, 2, -5, -19, -12, 0, 7, -7, 16, -26, 16, 0, 0, 14, -33, 23, 2, -14, -21, -14, 0, -28, -7, 16, 30, 2, -14, -14, 28, 16, 23, 16, 14, -21, 0, -19, 30, 30, 28, -14, 35, 9, -33, -12, 21, 28, 0, -26, -5, 2, -40, 30, 37, -28, 21, 21, 2, 16, -19, 28, 7, -28, -42, -14, 28, 30, -47, -12, 30, 2, 16, -42, -28, 7, -40, -47, 9, -19, 16, 30, -26, 37, -26, -7, 0, 42, 9, 16, -26, -12, 23, -47, -14, 21, 21, 0, 14, -28, -14, -35, 49, -33, -33, 2, -56, 21, 7, -35, -28, 14, 0, -42, 21, 16, -47, 23, -12, -40, -19, 28, -28, 7, 44, -12, 51, 37, -12, -12], 'hecke_polynomial': 'x', 'label': '3.3.49.1-104.1-a'}
10. label: 3.3.49.1-104.1-b
    {'AL_eigenvalues': [['[8, 2, 2]', 1], ['[13, 13, -w^2 - w + 3]', -1]], 'hecke_eigenvalues': [-1, -1, 1, -4, 5, 1, 3, -6, 3, -3, -12, -3, 8, -10, -1, -9, 9, 9, -6, -6, -6, -10, 17, -10, 6, 6, -12, 9, 20, 2, 11, 5, 14, -4, 24, -12, 24, 2, 2, -25, -18, 18, 18, 23, 23, -4, 8, -19, -19, -12, 6, 24, 0, 0, -18, 3, -15, -6, 6, -3, -30, -16, 20, 29, 32, -22, -22, 26, 26, -28, -16, -25, 20, 6, 15, -12, -1, 26, 26, -16, 2, -7, -9, -27, -36, -33, 12, 12, 14, -13, 14, -12, -30, -3, 0, 9, -27, -46, 8, -19, 12, -15, -24, -10, 26, 8, 42, -3, -12, 38, 38, -16, 14, -4, 5, 48, -51, -33, -1, -28, 26, -18, 27, 18, 17, 8, 26, -21, 24, 6, -52, 29, 29, 14, 41, -13, -48, 42, -48, 2, -25, -25, 27, -27, -54, -24, 21, 21, 53, -28, 26, 0, 18, -27, 56, -25, 29, -24, 48, 39, 20, -16, -25, -36, 0, -9, -31, 32, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-104.1-b'}
11. label: 3.3.49.1-113.1-a
    {'AL_eigenvalues': [['[113, 113, 3*w^2 + w - 8]', -1]], 'hecke_eigenvalues': [0, -3, 2, -2, 6, -8, -6, -2, 2, 2, 2, -6, 4, 4, -4, 12, -16, 0, -8, -4, 12, 2, 14, -6, 1, -18, -14, 22, 16, 4, -8, 12, -4, 12, -8, 12, -8, 22, -2, -10, 6, -2, -10, -20, -8, -12, -16, 16, 28, 28, -16, 20, 28, 16, 0, 18, -2, -22, 22, -26, 6, 16, 28, -12, -6, -22, 30, -10, -2, 14, 28, 16, -28, 16, 12, -36, 10, 6, 2, -6, 10, -30, 10, -22, -22, 22, 14, 14, 24, 8, 40, 28, 36, -8, -16, -24, 16, -16, 24, -36, -24, -28, -44, 6, -30, 10, -38, -6, 18, -12, -48, -32, 20, 44, 4, -20, -36, 20, -38, -26, -2, -18, 46, 6, 16, -32, -32, -32, 0, -16, -22, 54, -10, -46, 46, -50, -34, -22, -42, -20, 0, -12, 12, 48, -12, 36, -24, -24, 2, 6, -6, -22, 18, -22, 4, 44, 32, -48, 48, 0, -54, 2, 2, 10, -6, -10, 32, 40, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-113.1-a'}
12. label: 3.3.49.1-125.1-a
    {'AL_eigenvalues': [['[125, 5, -5]', -1]], 'hecke_eigenvalues': ['e', '-1/3*e + 4/3', '-2/3*e - 4/3', '-2/3*e - 4/3', '-2/3*e - 4/3', '4/3*e - 10/3', -1, -1, -1, '-2/3*e - 13/3', '-2/3*e - 13/3', '-2/3*e - 13/3', '-1/3*e + 16/3', '-1/3*e + 16/3', '-1/3*e + 16/3', '2*e - 6', '2*e - 6', '2*e - 6', '3*e - 2', '3*e - 2', '3*e - 2', '4/3*e + 14/3', '4/3*e + 14/3', '4/3*e + 14/3', '-2*e + 6', '-2*e + 6', '-2*e + 6', 1, '-8/3*e + 14/3', '-8/3*e + 14/3', '-8/3*e + 14/3', '-10/3*e + 4/3', '-10/3*e + 4/3', '-10/3*e + 4/3', '1/3*e + 62/3', '1/3*e + 62/3', '1/3*e + 62/3', '4/3*e - 13/3', '4/3*e - 13/3', '4/3*e - 13/3', '4/3*e - 58/3', '4/3*e - 58/3', '4/3*e - 58/3', '2*e + 10', '2*e + 10', '2*e + 10', '-4/3*e + 22/3', '-4/3*e + 22/3', '-4/3*e + 22/3', '-8/3*e - 22/3', '-8/3*e - 22/3', '-8/3*e - 22/3', '-8/3*e + 14/3', '-8/3*e + 14/3', '-8/3*e + 14/3', '-20/3*e + 14/3', '-20/3*e + 14/3', '-20/3*e + 14/3', -16, -16, -16, 'e - 10', 'e - 10', 'e - 10', '-2/3*e + 38/3', '-2/3*e + 38/3', '-2/3*e + 38/3', '4/3*e - 67/3', '4/3*e - 67/3', '4/3*e - 67/3', '2/3*e + 70/3', '2/3*e + 70/3', '2/3*e + 70/3', '8/3*e - 44/3', '8/3*e - 44/3', '8/3*e - 44/3', '2*e + 3', '2*e + 3', '2*e + 3', '14/3*e - 50/3', '14/3*e - 50/3', '14/3*e - 50/3', '2/3*e + 1/3', '2/3*e + 1/3', '2/3*e + 1/3', '8/3*e + 82/3', '8/3*e + 82/3', '8/3*e + 82/3', '-17/3*e - 22/3', '-17/3*e - 22/3', '-17/3*e - 22/3', '8/3*e - 14/3', '8/3*e - 14/3', '8/3*e - 14/3', '-19/3*e + 52/3', '-19/3*e + 52/3', '-19/3*e + 52/3', '7/3*e + 38/3', '7/3*e + 38/3', '7/3*e + 38/3', '-20/3*e + 2/3', '-20/3*e + 2/3', '-20/3*e + 2/3', '4/3*e + 38/3', '4/3*e + 38/3', '4/3*e + 38/3', '8/3*e - 8/3', '8/3*e - 8/3', '8/3*e - 8/3', '-10/3*e - 8/3', '-10/3*e - 8/3', '-10/3*e - 8/3', '20/3*e - 26/3', '20/3*e - 26/3', '20/3*e - 26/3', '-2/3*e + 74/3', '-2/3*e + 74/3', '-2/3*e + 74/3', '4/3*e + 68/3', '4/3*e + 68/3', '4/3*e + 68/3', '14/3*e - 83/3', '14/3*e - 83/3', '14/3*e - 83/3', '1/3*e - 118/3', '1/3*e - 118/3', '1/3*e - 118/3', '-5/3*e - 22/3', '-5/3*e - 22/3', '-5/3*e - 22/3', '-6*e', '-6*e', '-6*e', '-16/3*e + 82/3', '-16/3*e + 82/3', '-16/3*e + 82/3', -8, -8, -8, '-16/3*e + 22/3', '-16/3*e + 22/3', '-16/3*e + 22/3', '-5*e', '-5*e', '-5*e', '-2/3*e + 56/3', '-2/3*e + 56/3', '-2/3*e + 56/3', '-6*e + 34', '-6*e + 34', '-6*e + 34', '2/3*e - 5/3', '2/3*e - 5/3', '2/3*e - 5/3', '20/3*e - 50/3', '20/3*e - 50/3', '20/3*e - 50/3', '14/3*e - 104/3', '14/3*e - 104/3', '14/3*e - 104/3', '16/3*e + 20/3', '16/3*e + 20/3', '16/3*e + 20/3', '-4/3*e - 20/3', '-4/3*e - 20/3', '-4/3*e - 20/3', '23/3*e - 8/3', '23/3*e - 8/3', '23/3*e - 8/3'], 'hecke_polynomial': 'x^2 - 2*x - 17', 'label': '3.3.49.1-125.1-a'}
13. label: 3.3.49.1-127.1-a
    {'AL_eigenvalues': [['[127, 127, 2*w^2 - 9]', -1]], 'hecke_eigenvalues': [2, -3, -4, 2, 2, -2, 0, -6, 6, 0, 6, 6, -4, -10, -4, 0, 0, -12, -18, 12, -12, 2, 2, 8, 18, 12, 0, 18, 1, -16, -16, 14, 8, -16, 18, 12, 12, 2, 2, -10, -12, 24, 18, 20, -4, 20, 8, 8, 2, -6, -6, 6, -12, -24, 24, 0, 6, 6, -6, 6, 18, 20, -28, -28, -16, 14, -10, 8, -28, -10, -34, 20, -16, -24, 12, -24, 8, -22, 2, 14, 38, 14, 0, 30, -6, 6, 30, 30, -22, 8, 32, -6, 30, -18, 12, 36, -24, -28, -40, 2, 30, -12, -12, 38, -28, 26, 42, -36, 30, -34, 8, 20, 20, 32, -46, -48, -12, 36, 26, -28, 44, -30, -30, -6, 32, -46, 8, -48, -42, 48, 8, 2, -34, 14, 14, -40, 6, 0, -18, -4, -40, 44, -24, -54, 12, 6, -36, 12, -28, -10, 2, -42, 30, -18, 20, -4, 2, -30, -12, 48, 2, 2, 50, -6, -18, 12, 50, 56, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-127.1-a'}
14. label: 3.3.49.1-512.1-a
    {'AL_eigenvalues': [], 'hecke_eigenvalues': [0, 0, 6, -2, -2, 4, -2, -2, 6, 2, 10, -6, -4, -4, 12, -8, -8, -8, -12, -12, 4, 2, 18, 10, 18, 2, -6, -2, 16, -16, -16, 12, -20, -4, -16, 16, 16, -10, -10, 22, 6, -18, -26, -12, 20, 4, 16, 16, -16, -24, 8, -24, -12, 20, -12, 2, -22, -6, 6, -26, 6, 4, -12, -28, 18, -30, -22, 6, -2, -2, -28, 36, 4, -12, 20, 36, -2, 22, 22, -6, 2, -14, -30, 18, -6, -10, 14, -18, 16, -16, -16, 20, 20, -12, -24, -24, 8, -4, 28, 28, 28, 12, 28, 10, 34, 26, -6, 34, -22, -24, 8, 8, 4, 20, -12, 20, -12, 36, -14, 2, -38, -34, 30, 30, 8, -24, 8, 24, 24, -8, -10, 30, 22, -14, 26, 2, -34, -2, 6, -4, 28, -52, 12, -20, -36, 40, 40, 8, 38, -26, 14, 50, -14, -46, 20, -28, 20, 48, -48, 48, 42, -22, 10, -6, -54, 34, 24, 56, -8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-512.1-a'}
15. label: 3.3.49.1-139.1-a
    {'AL_eigenvalues': [['[139, 139, 5*w^2 - 4*w - 6]', -1]], 'hecke_eigenvalues': ['e', '-1/2*e + 3/2', '-e - 1', '1/2*e - 3/2', '-e - 1', 'e - 3', 'e - 1', '-2*e', '-1/2*e - 1/2', -4, '3/2*e - 9/2', '-e + 4', -2, '2*e + 5', '3/2*e - 5/2', '-2*e - 4', '-e + 11', 'e - 5', '4*e + 6', '-3/2*e - 15/2', -8, 6, '-4*e - 8', '3/2*e + 11/2', 'e + 14', '-e + 7', '5*e + 5', '2*e - 5', '5/2*e + 9/2', 13, '-3/2*e - 19/2', 1, '3*e + 1', 2, '3*e + 6', '-2*e', '4*e - 2', '-4*e - 16', '-2*e - 9', '-3*e - 1', '2*e - 2', '3/2*e + 27/2', '2*e - 2', '-7/2*e - 3/2', '-4*e - 9', '-e + 13', '3*e - 7', '-3*e - 5', 'e + 9', '-4*e - 4', '-e + 18', 'e + 2', '-3*e', 22, '-5*e - 7', 6, '-4*e - 8', '2*e - 10', '-2*e + 11', '2*e + 2', 18, '4*e + 23', '7*e - 1', '-7/2*e + 5/2', '-4*e + 2', '-3*e - 6', '13/2*e - 3/2', -18, 28, '3*e + 4', '-2*e - 18', '4*e + 26', 12, '-6*e - 15', '7*e + 19', '-7*e - 7', '-10*e - 4', '-2*e + 24', '2*e - 8', '-4*e + 6', '-2*e - 10', 'e + 12', -10, '-7*e', '-2*e + 6', '-1/2*e - 57/2', 'e + 17', '-2*e + 18', '6*e + 25', '-5*e - 25', '-5*e - 25', '8*e + 14', '-e + 17', '-e + 17', -2, '5*e - 19', '-9/2*e - 1/2', '7*e - 14', '2*e + 26', '2*e - 20', '-2*e + 6', '8*e + 18', '-e - 25', '-2*e - 26', '7*e + 17', 4, '-4*e + 6', '3*e - 27', '9/2*e + 37/2', '-e + 19', '13/2*e + 33/2', '9/2*e + 65/2', '3*e - 1', '-15/2*e + 5/2', 0, '5*e - 1', '5/2*e - 31/2', '17/2*e + 57/2', '-9*e - 13', '-6*e - 14', '3*e - 17', '5*e - 5', '-4*e - 25', '-7*e - 1', '5/2*e + 13/2', '-8*e - 13', '-4*e + 24', '-1/2*e - 45/2', '14*e + 11', '10*e + 20', '7/2*e + 11/2', '-3/2*e + 45/2', '7*e - 11', '6*e + 32', '2*e + 18', '-5*e + 5', '10*e + 28', '-4*e - 44', '-2*e - 14', '3*e - 17', 53, '-7/2*e + 1/2', '19/2*e + 55/2', '4*e - 32', '-4*e + 32', '-4*e - 25', '3/2*e - 69/2', '-1/2*e - 37/2', '-3/2*e - 39/2', '11*e + 7', '5/2*e - 11/2', '6*e + 29', '7*e + 21', '-e + 39', '-11/2*e - 7/2', '-5/2*e + 83/2', '-6*e - 11', '5*e - 25', '3*e - 9', '-e - 23', '4*e - 14', '2*e - 21', '-12*e - 24', '-2*e - 42', '1/2*e + 37/2', '-23/2*e - 47/2', '-7*e - 11', '5/2*e + 33/2', '7*e + 15'], 'hecke_polynomial': 'x^2 + 2*x - 11', 'label': '3.3.49.1-139.1-a'}
16. label: 3.3.49.1-169.1-a
    {'AL_eigenvalues': [['[13, 13, -w^2 + 2*w + 2]', -1], ['[13, 13, -2*w^2 + w + 2]', 1]], 'hecke_eigenvalues': [0, -1, 2, 1, -1, 4, -6, 2, 2, 6, -6, 2, 0, -4, -8, -12, 8, 4, 8, -4, -8, -18, 6, -2, -2, 2, 6, 2, 0, -20, -16, 16, 4, 12, 16, -12, -8, 10, 14, 14, 6, 18, -22, 4, 20, -12, 12, -8, -4, 12, 16, 0, 20, -4, 24, -10, 10, -18, 6, -26, -2, -4, -12, 16, -30, 2, 18, 26, 6, 6, -4, -8, 36, -20, 4, -12, -22, -22, 10, 14, -34, 6, 6, 30, -18, -14, 34, -6, -24, 32, 0, 24, 36, -44, -16, -8, 24, 28, 8, 12, 12, 36, 28, -38, -38, -6, 2, -34, -30, -16, -24, 32, 36, 4, 20, 28, 28, 28, -10, 14, 22, 18, -2, -10, -32, -40, 40, 16, 24, -32, 46, -22, -22, 38, 22, -14, 2, 54, 18, 12, -52, 28, 12, -44, -28, 4, -20, 24, 22, -26, -54, 26, -30, 22, -20, -52, -44, -12, 40, -40, 2, -38, -2, 42, -6, -54, 16, -4, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-169.1-a'}
17. label: 3.3.469.1-301.1-a
    {'AL_eigenvalues': [['[7, 7, -w + 3]', -1], ['[43, 43, -2*w - 5]', -1]], 'hecke_eigenvalues': [-1, 0, 2, 1, -3, -3, -1, -1, 1, -11, -4, 5, 10, 1, 5, 10, 13, -8, 4, 14, -4, -8, 10, -8, 5, -14, -11, -4, 14, 6, 13, -9, 16, -6, 12, -20, 0, -22, 12, -6, -23, -15, -18, 27, 22, -26, -24, 10, 6, -11, 28, -12, 15, -19, -18, 13, -2, -10, -24, -14, -2, 14, 9, -1, 32, -22, 9, -6, 34, 13, 18, 9, -20, -29, -29, -4, 26, -27, 24, -27, -8, 18, 19, -35, -2, 6, -15, -12, -9, -31, 0, 2, 29, 19, 32, 14, -36, 8, -44, -30, 28, -16, 37, -36, -30, -6, 16, 2, -3, -25, 10, -10, -20, -48, -49, 21, 8, 3, -28, 24, 20, 10, 4, -22, 5, 14, -22, 31, -15, -52, -32, -5, 15, -22, -4, -36, 2, -20, 45, 30, 13, 2, -39, -21, 30, -24, 35, 38, -20, -6, 56, 13, 21, 38, 4, 2, -22], 'hecke_polynomial': 'x', 'label': '3.3.469.1-301.1-a'}
18. label: 3.3.49.1-167.1-a
    {'AL_eigenvalues': [['[167, 167, w^2 + w - 8]', -1]], 'hecke_eigenvalues': ['e', '2*e^2 - 4*e - 4', '2*e - 2', '-e^2 - e + 3', '-3*e^2 + 4*e + 8', '-3*e^2 + 6*e + 6', '4*e^2 - 6*e - 12', '-e^2 + e + 3', '4*e - 2', '3*e^2 - 7*e - 11', '4*e^2 - 5*e - 8', '-2*e^2 + 4', '-2*e^2 + 6', '4*e^2 - 4*e - 14', '-6*e^2 + 10*e + 16', '-5*e^2 + 6*e + 12', '3*e^2 - 5*e + 3', '-2*e^2 + 4*e + 2', '2*e^2 - 4*e - 12', '4*e^2 + e - 14', '6*e^2 - 15*e - 14', '-4*e^2 + 2*e + 6', '5*e^2 - 6*e - 8', '-2*e^2 + 8*e - 4', '-4*e^2 + 3*e + 14', '6*e^2 - 12*e - 8', '-5*e^2 + 10*e + 22', '6*e^2 - 10*e - 12', '-e^2 + 4*e - 6', '2*e^2', '-4*e - 6', '2*e^2 + 2*e - 4', '-7*e^2 + 8*e + 26', '-5*e^2 + 5*e + 5', 1, '-6*e^2 + 4*e + 22', '9*e^2 - 17*e - 23', '6*e^2 - 2*e - 20', 'e^2 + 5*e - 5', '-4*e^2 + 12*e + 10', '6*e - 16', '-6*e^2 + 9*e + 12', '4*e^2 - 7*e - 2', '7*e - 10', '-2*e^2 - 2*e + 24', '4*e^2 - 4*e - 12', '4*e^2 - 2*e - 16', '6*e^2 - 18*e - 16', '-10*e^2 + 21*e + 32', '-e^2 + 5*e + 15', '4*e^2 - 2*e', '10*e^2 - 26*e - 26', '-2*e^2 + 8*e - 16', '-11*e^2 + 23*e + 25', '-10*e', '-4*e^2 + 2*e + 24', 'e^2 + 6*e + 4', '-8*e^2 + 14*e + 18', '-4*e^2 + 6*e + 4', '6*e^2 - 11*e - 2', '-4*e - 6', '2*e^2 + 2*e - 2', '2*e^2 - e + 22', '-4*e + 8', 6, '-2*e^2 - 6*e + 16', '4*e^2 - 10*e - 4', '8*e^2 - 16*e - 34', '2*e^2 - 14*e + 2', '-4*e^2 + 10*e + 28', '-12*e^2 + 16*e + 24', '4*e^2 - 6*e + 6', '-8*e^2 + 4*e + 30', '2*e^2 - 4*e - 8', '3*e^2 - e - 13', '8*e^2 - 12*e + 4', 'e^2 + 6*e - 22', '-2*e^2 + 6*e + 4', '-4*e^2 + 2*e - 2', '6*e^2 - 13*e - 12', '-9*e^2 + 18*e + 36', '8*e^2 - 8*e - 14', '-7*e^2 + 6*e + 20', '-16*e^2 + 14*e + 34', '-6*e^2 - 4*e + 36', '-6*e^2 + e + 8', '-2*e^2 - 12*e + 22', '-4*e - 4', '-6*e^2 + 21*e + 16', 'e^2 + 8*e + 4', '-8*e^2 + 16*e + 18', '-e^2 + 6*e + 10', '12*e^2 - 12*e - 14', '8*e^2 + 2*e - 36', 6, '2*e - 10', '5*e^2 - 16*e - 20', '-9*e^2 + 21*e + 43', '-18*e^2 + 22*e + 30', '-11*e^2 + 19*e + 21', '-9*e^2 + 18*e + 24', '16*e^2 - 30*e - 30', '8*e^2 - 7*e - 34', '-2*e^2 + 8*e + 2', '8*e^2 - 8*e - 12', '12*e^2 - 19*e - 14', '-4*e^2 + 2*e + 28', '-e^2 + 13*e - 3', '2*e^2 - 22*e + 2', '22*e^2 - 30*e - 38', '-12*e^2 + 26*e + 30', '-10*e^2 + 13*e + 6', '-8*e^2 + 18*e + 16', '5*e^2 - 11*e - 3', '-7*e^2 + 21*e + 11', '14*e^2 - 25*e - 36', '3*e^2 - 13*e - 9', '-20*e^2 + 30*e + 40', '-4*e^2 + 10*e + 20', '-8*e^2 + 22*e + 14', '16*e^2 - 16*e - 56', '3*e^2 - 20*e + 6', '6*e^2 - 3*e + 10', '-13*e^2 + 24*e + 14', '10*e^2 - 10*e + 2', '10*e^2 - 6*e - 30', '-10*e^2 + 2*e + 24', '4*e^2 - 20*e - 16', '3*e^2 - 10*e - 32', '15*e^2 - 31*e - 51', '24*e^2 - 29*e - 48', '24*e^2 - 30*e - 40', '12*e - 2', '8*e^2 - 5*e - 34', '-13*e^2 + 30*e + 34', '-10*e^2 + 26*e + 40', -32, '-6*e^2 - 2*e + 36', '4*e^2 - 10*e - 42', '-9*e^2 + 19*e - 9', '16*e^2 - 20*e - 52', '14*e^2 - 26*e - 42', '-24*e^2 + 38*e + 68', '15*e^2 - 21*e - 47', '-7*e^2 - e + 39', '-5*e^2 + 11*e - 7', '-8*e^2 + 24', '20*e^2 - 29*e - 42', '6*e - 24', '24*e^2 - 37*e - 54', '-8*e^2 + 4*e + 6', '-17*e^2 + 32*e + 54', '14*e^2 - 40*e - 26', 'e^2 + 5*e + 31', 'e^2 - 10', '-9*e^2 + 12*e + 36', '-18*e^2 + 41*e + 48', '6*e^2 - 15*e - 16', '14*e^2 - 32*e - 60', '-6*e^2 + 18*e - 10', '4*e^2 - 18*e - 4', '-2*e^2 + 7*e + 14', '19*e^2 - 21*e - 27', '6*e^2 - 8*e - 30', '-6*e^2 + 18*e + 32', '-4*e^2 + 26*e + 6', '2*e^2 + 8*e - 54', '16*e^2 - 25*e - 22', '-10*e^2 - 12*e + 44'], 'hecke_polynomial': 'x^3 - x^2 - 4*x - 1', 'label': '3.3.49.1-167.1-a'}
19. label: 3.3.49.1-169.4-a
    {'AL_eigenvalues': [['[13, 13, -w^2 + 2*w + 2]', -1]], 'hecke_eigenvalues': ['e', '-1/2*e', 1, 0, '-3/2*e', 2, '1/2*e', -9, '1/2*e', '2*e', 3, 3, -8, '-e', '-e', -6, -6, '-4*e', 6, 6, '4*e', '5/2*e', '-4*e', '5/2*e', '-2*e', '9/2*e', -3, '-1/2*e', '3*e', -2, '3*e', -16, '-2*e', '-2*e', 12, '-5*e', 12, '13/2*e', 0, -13, 3, 3, '-9/2*e', '7*e', '-6*e', 4, '2*e', 16, -10, '4*e', 6, 6, '-e', 18, '-e', -30, 9, '6*e', '-11/2*e', 21, 21, '-7*e', -4, -4, 13, -13, 13, '3/2*e', -1, -14, 16, '2*e', -10, 30, 30, 30, '-5/2*e', '4*e', '4*e', '-15/2*e', '-15/2*e', -34, '15/2*e', '-11/2*e', '-11/2*e', '5/2*e', '-4*e', '-21/2*e', 22, -4, '6*e', '3*e', 24, '-10*e', -42, 36, 36, 28, '-3*e', '-3*e', '2*e', '2*e', '2*e', 43, -22, 17, 33, '5/2*e', -6, 34, 'e', 8, -32, '9*e', -32, '-2*e', '11*e', -42, -2, '-7/2*e', '-10*e', 0, '13/2*e', 39, -26, 26, -26, '-11*e', '15*e', '-11*e', '-25/2*e', -22, '27/2*e', '2*e', -23, -49, '-14*e', 18, '12*e', '-9*e', '4*e', '-9*e', '-7*e', -30, 48, -18, 'e', -18, 35, 22, '6*e', -54, '19/2*e', '-7/2*e', '-13*e', 26, 0, -24, '-3*e', '10*e', '33/2*e', -37, '10*e', 18, -21, -21, '4*e', 32, -46], 'hecke_polynomial': 'x^2 - 12', 'label': '3.3.49.1-169.4-a'}
20. label: 3.3.49.1-181.1-a
    {'AL_eigenvalues': [['[181, 181, 4*w^2 + w - 9]', -1]], 'hecke_eigenvalues': [3, -1, -1, -6, 4, -2, -5, 0, 0, 2, -8, 2, -1, 4, -6, 12, 12, -3, 9, -6, 4, -17, -12, 13, 9, 9, 4, -19, 18, -12, 3, 15, 0, -20, 13, -22, -12, 1, 2, 2, -17, 8, 18, 22, -23, -8, -16, -16, 9, 25, -10, 0, 27, 12, 12, 22, -18, 17, 24, -21, 9, -22, -32, -7, 28, -2, 13, 10, 10, 0, 20, 0, -20, -5, 0, -5, -8, 27, 22, 4, 19, -6, 30, -15, 10, 27, 22, 12, 19, -11, -26, -8, -38, 27, 29, 24, 4, 8, -22, 28, -32, 23, -27, 47, -18, 17, -22, 18, -27, -38, -43, -18, -31, -21, -16, -45, 0, 15, -41, -46, 39, 27, 22, -33, -52, 38, -22, 39, 14, 14, 8, 8, 18, 10, -50, 10, 48, -7, 18, 47, 37, 12, -27, 3, -27, 35, -5, 35, 9, 9, -26, -18, 2, -18, 34, 49, 4, 57, -28, 12, -42, 53, 28, -41, -6, -21, 43, 3, 18], 'hecke_polynomial': 'x', 'label': '3.3.49.1-181.1-a'}
21. label: 3.3.49.1-181.1-b
    {'AL_eigenvalues': [['[181, 181, 4*w^2 + w - 9]', -1]], 'hecke_eigenvalues': [-1, 3, -1, 2, -4, -2, 3, 0, 0, -6, 0, -6, 11, -4, 2, -12, -12, 9, -3, -6, 12, -1, -4, 5, -15, 9, 12, -3, 2, -4, -1, -13, -16, 20, 9, 18, 12, 1, 2, 2, 15, 0, -6, 14, 5, -16, 8, 8, -19, 21, 6, -24, 15, -12, -12, 30, -18, -15, 24, -21, 33, -22, 8, 5, -4, 14, 5, 26, 26, 8, -4, -16, -28, -33, -24, 15, 8, 35, -10, -28, -13, 26, 30, -15, -6, 3, 6, 36, 23, 41, 14, 0, 18, 15, -39, 0, -36, 32, 2, -4, 0, -21, -15, -1, 14, -7, 42, -30, -3, 2, 17, -34, 5, 23, 32, -9, 0, 3, -1, 26, -1, 27, -18, -9, 20, -10, 50, -21, 6, 6, 8, -40, 2, -22, 14, -22, 48, 9, 42, 11, -7, -52, 33, -33, 9, 39, -9, 15, 17, -55, -10, -42, -30, 6, 2, 29, 20, -51, 60, 36, 38, -19, 20, -57, 42, 51, -25, 47, -46], 'hecke_polynomial': 'x', 'label': '3.3.49.1-181.1-b'}
22. label: 3.3.49.1-189.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[27, 3, 3]', -1]], 'hecke_eigenvalues': [-1, 5, -2, -2, -2, 1, -2, -2, -2, 2, 2, 2, -4, -4, -4, 0, 0, 0, -12, -12, -12, 18, 18, 18, -14, -14, -14, 22, 0, 0, 0, 12, 12, 12, -8, -8, -8, -26, -26, -26, 22, 22, 22, 4, 4, 4, 16, 16, 16, 24, 24, 24, -20, -20, -20, -22, -22, -22, 14, 14, 14, 4, 4, 4, -14, -14, -14, -2, -2, -2, 12, 12, 12, -12, -12, -12, 38, 38, 38, -14, -14, -14, -30, -30, -30, -10, -10, -10, 16, 16, 16, 20, 20, 20, 24, 24, 24, 4, 4, 4, 28, 28, 28, -6, -6, -6, -6, -6, -6, -40, -40, -40, 20, 20, 20, 12, 12, 12, 34, 34, 34, 30, 30, 30, -40, -40, -40, 0, 0, 0, -10, -10, -10, 2, 2, 2, -26, -26, -26, 44, 44, 44, -12, -12, -12, -8, -8, -8, -10, -10, -10, -6, -6, -6, -28, -28, -28, -24, -24, -24, 42, 42, 42, 26, 26, 26, 40, 40, 40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-189.1-a'}
23. label: 3.3.49.1-203.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [1, 3, -4, 2, -4, -2, -6, -1, 6, 0, 0, 0, -4, -4, -4, -12, 12, 0, 0, 18, 6, 14, -16, -10, -6, -6, -6, 18, -16, 8, 20, -10, 20, 2, -12, 18, -18, -16, -16, 2, -6, -6, 18, 8, 20, 20, -10, -28, 26, 0, -12, -24, 12, 18, -12, 6, 30, 6, 0, 0, 0, 2, -22, -10, -22, 14, 14, 2, 2, 26, 20, -28, -28, 0, 0, 36, -10, -10, -10, 26, 14, 8, 18, 30, -30, -6, 6, 0, -4, 32, 32, 12, 12, 0, -30, 30, -30, 20, 32, -16, -42, 36, 30, 14, -40, 14, 18, -18, -42, -16, -16, 8, -34, 26, -4, 0, -12, -24, 26, -10, -10, -30, -30, -30, 8, -40, 38, -12, 12, 48, 2, -22, 38, 32, 14, 14, 18, -30, -24, -52, 2, -34, 36, 12, 12, 30, 48, -48, 44, 26, 26, -18, 42, 0, 20, -16, 20, 0, 24, -36, 20, 20, -34, -6, -6, 42, 8, 8, 56], 'hecke_polynomial': 'x', 'label': '3.3.49.1-203.1-a'}
24. label: 3.3.49.1-203.1-b
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [1, -1, 4, -6, 4, -2, 10, -1, -10, -8, -8, -8, 4, 4, 4, 12, 12, -8, -16, -6, 14, -2, 8, -2, -6, -6, -6, -14, 8, 8, -12, -10, 20, 10, -12, 18, -2, -8, -8, 2, -22, -22, 18, -8, -28, 12, 14, 4, -6, 0, -20, 0, 12, 2, -28, 22, -18, 22, 24, 24, 24, 18, 18, -2, -22, -2, -2, 10, 10, 10, -20, 20, 20, 0, 0, 20, 22, 22, 22, 34, -26, -16, -30, 30, -30, 2, 22, -8, 4, 24, -16, 12, 12, -8, -6, 14, -6, -12, 8, 8, 38, -12, 38, 22, 32, -18, 18, -2, 38, -8, -8, -8, -26, -46, -36, 40, 20, 40, -6, -26, -26, 2, 2, 2, 8, 8, -2, 4, 4, -16, 18, -22, 38, -40, -10, -10, 18, -22, 48, 12, 2, 22, -12, -52, -12, 30, 0, 0, 4, -6, -46, -18, -38, -8, -36, -16, 44, 32, -48, 12, 28, -52, -2, -6, -6, -6, -32, -32, -32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-203.1-b'}
25. label: 3.3.49.1-203.1-c
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[29, 29, 2*w^2 + w - 4]', -1]], 'hecke_eigenvalues': [-1, -3, -2, 6, 6, -4, -2, 1, -2, -6, 10, 2, -12, 4, 4, -16, -8, 0, 4, -12, 4, 2, -14, 10, 18, -14, -14, -18, 8, -16, -16, 12, 12, -4, 8, -8, 8, -2, 14, 22, 22, -10, 6, 20, 20, -20, 0, -16, -16, 0, 24, -8, -4, -4, -20, 10, -6, 10, 30, -18, 14, 4, 20, -12, 2, 2, 34, -10, -26, 14, -28, -4, -20, -12, 20, -28, 38, 6, 22, 10, -6, -6, -30, 2, 2, 22, -18, -18, 8, -8, 32, -20, 28, -12, 8, 8, 24, -28, 28, -20, 12, 44, 12, -46, -6, 26, 10, -22, -6, 16, 16, 8, 36, -12, -12, 12, -12, -28, 2, 34, 34, 30, 30, -34, -8, 40, -24, -24, -16, -24, -42, 22, 22, 26, -38, 10, -18, -42, 14, -52, 44, -20, 44, 12, 36, 56, 8, 40, 6, 22, 46, -14, -14, 58, -4, -28, -36, 16, -24, -16, -14, 2, -22, -6, -6, -6, -48, 32, -16], 'hecke_polynomial': 'x', 'label': '3.3.49.1-203.1-c'}
26. label: 3.3.49.1-211.1-a
    {'AL_eigenvalues': [['[211, 211, 3*w^2 - 5*w - 7]', -1]], 'hecke_eigenvalues': [2, 1, 3, -4, 0, -2, -6, -9, -9, 10, 11, -9, -9, 1, 7, 0, 13, 9, 8, 14, 4, -2, -11, 10, 2, -18, -16, 9, -2, 14, -8, 7, -8, -4, 14, 1, 3, 17, -23, -6, 0, -8, 12, 1, 24, -10, 7, -6, -29, 7, 5, 20, 15, -18, 5, -4, -19, -6, -20, 30, 23, 9, -12, 9, 10, -18, -8, -26, -14, -4, 25, 20, -20, -36, 36, -20, 20, -8, 22, 26, -2, 26, -6, 8, 16, -2, 36, -5, -9, 14, 31, -26, -12, 14, 8, 12, -2, -34, 25, -6, 24, 13, 28, -47, 9, -21, -37, 22, -2, 0, -29, -3, 20, -23, 26, 43, 30, 29, 7, 1, -14, -16, 29, 27, 0, -33, 37, 40, 16, 36, -50, -50, 28, -16, 0, -2, -48, 12, 12, 35, -2, 46, 16, -21, -10, 21, 30, -55, -38, -54, 23, 18, -19, 0, 52, 46, -46, 22, -52, 11, -44, -15, 2, 21, -46, -2, -50, -48, -14], 'hecke_polynomial': 'x', 'label': '3.3.49.1-211.1-a'}
27. label: 3.3.49.1-211.1-b
    {'AL_eigenvalues': [['[211, 211, 3*w^2 - 5*w - 7]', -1]], 'hecke_eigenvalues': [-2, -1, -1, 4, 4, -2, 10, 5, -5, 2, -3, -3, -1, -1, -11, -8, -3, -13, 4, -6, 4, 18, 3, -2, 14, -6, 4, 1, -2, -2, 8, -15, 0, 20, -2, 13, -17, -23, -23, 2, -12, -12, -12, 1, -8, -18, -11, -6, -11, -5, 25, 0, 27, 2, 17, 12, 27, 22, 24, -6, -1, 23, 28, -7, -2, 18, -32, 30, 30, 20, 5, -20, -20, 20, 20, 0, -8, -28, 2, -6, 34, 14, 30, 0, 0, -18, -28, 37, 9, -6, -1, -18, -28, 22, -16, -16, 14, -42, -27, 38, -12, -17, -12, 7, 37, -23, 33, -42, 18, -8, -13, 7, 4, 49, -26, 45, -10, 15, 29, -41, 34, -28, -3, 27, 28, -47, 53, 44, 24, 24, 18, -22, -12, 40, 0, 10, -32, 28, 28, -53, 2, 2, -12, 13, -22, -5, 50, -15, -26, 54, 19, -18, -3, -48, -56, 14, -26, 2, 12, 27, -52, -47, -42, 39, -26, -46, -22, 8, -22], 'hecke_polynomial': 'x', 'label': '3.3.49.1-211.1-b'}
28. label: 3.3.49.1-216.1-a
    {'AL_eigenvalues': [['[8, 2, 2]', 1], ['[27, 3, 3]', -1]], 'hecke_eigenvalues': [5, -1, -4, -4, -4, 1, 9, 9, 9, 0, 0, 0, -10, -10, -10, -6, -6, -6, -9, -9, -9, -1, -1, -1, 0, 0, 0, -18, 5, 5, 5, 2, 2, 2, 6, 6, 6, 8, 8, 8, 6, 6, 6, 14, 14, 14, -19, -19, -19, -24, -24, -24, 27, 27, 27, 6, 6, 6, 33, 33, 33, 8, 8, 8, -7, -7, -7, 26, 26, 26, 8, 8, 8, 0, 0, 0, -22, -22, -22, -34, -34, -34, 12, 12, 12, 30, 30, 30, 8, 8, 8, -33, -33, -33, -12, -12, -12, 8, 8, 8, 21, 21, 21, 11, 11, 11, -6, -6, -6, -7, -7, -7, -34, -34, -34, -24, -24, -24, 29, 29, 29, -15, -15, -15, -13, -13, -13, 42, 42, 42, 38, 38, 38, -19, -19, -19, -33, -33, -33, 2, 2, 2, 15, 15, 15, -24, -24, -24, -10, -10, -10, -6, -6, -6, 32, 32, 32, 6, 6, 6, 35, 35, 35, -6, -6, -6, -1, -1, -1], 'hecke_polynomial': 'x', 'label': '3.3.49.1-216.1-a'}
29. label: 3.3.49.1-216.1-b
    {'AL_eigenvalues': [['[8, 2, 2]', -1], ['[27, 3, 3]', 1]], 'hecke_eigenvalues': [1, 1, 0, 0, 0, -1, -5, -5, -5, 0, 0, 0, 2, 2, 2, 2, 2, 2, -7, -7, -7, 7, 7, 7, 16, 16, 16, -14, 9, 9, 9, -14, -14, -14, -14, -14, -14, 0, 0, 0, 2, 2, 2, 2, 2, 2, -7, -7, -7, -12, -12, -12, 21, 21, 21, 2, 2, 2, -21, -21, -21, 28, 28, 28, 9, 9, 9, -14, -14, -14, 16, 16, 16, 0, 0, 0, 30, 30, 30, 14, 14, 14, 16, 16, 16, -14, -14, -14, 16, 16, 16, 9, 9, 9, 0, 0, 0, -12, -12, -12, 35, 35, 35, 35, 35, 35, 2, 2, 2, -19, -19, -19, 14, 14, 14, -40, -40, -40, -19, -19, -19, -5, -5, -5, 7, 7, 7, 30, 30, 30, -54, -54, -54, -35, -35, -35, 21, 21, 21, -14, -14, -14, 9, 9, 9, -28, -28, -28, 14, 14, 14, -42, -42, -42, -40, -40, -40, 30, 30, 30, 35, 35, 35, 2, 2, 2, -61, -61, -61], 'hecke_polynomial': 'x', 'label': '3.3.49.1-216.1-b'}
30. label: 3.3.49.1-223.1-a
    {'AL_eigenvalues': [['[223, 223, 3*w^2 + 2*w - 9]', -1]], 'hecke_eigenvalues': ['e', 'e + 1', '1/2*e^2 - 2*e - 2', '-e^2 + 4', '1/2*e^2 - 2*e - 2', '-e^2 + 2*e + 2', '2*e^2 - 2*e - 8', '1/2*e^2 - 2', '-2*e^2 + 10', 'e^2 - 2*e - 6', '2*e^2 - 12', '-1/2*e^2', '-1/2*e^2 + 2', '-2*e^2 + 2*e + 8', 'e^2 - 2*e - 4', '-e^2 - 2*e + 4', '-3/2*e^2 + 2*e + 4', 'e^2 + e', '-2*e^2 + 6*e + 16', '-e^2', '-e^2 - e + 8', '-e^2 + 2*e - 2', 'e^2 + 5*e - 6', '7/2*e^2 - 4*e - 20', '-3/2*e^2 - 2*e + 4', 'e^2 - 2*e - 8', '3/2*e^2 + 4*e - 14', '-2*e - 6', '-e^2 + 4*e + 12', '1/2*e^2 + 2*e + 6', '-e^2 + 4*e + 12', -8, '-e^2 + 6*e + 8', '-e^2 + 6*e + 8', '3*e^2 - 2*e - 8', 'e^2 - 6*e + 4', 'e^2 + 4*e - 2', '5*e - 6', 'e^2 - 4*e + 2', '4*e + 2', '-4*e + 8', '-5/2*e^2 - 2*e + 4', '2*e^2 - 8*e - 14', '-5/2*e^2 - 2*e + 18', '5/2*e^2 - 10*e - 16', 'e^2 + 2*e - 16', 1, '3/2*e^2 - 20', '3/2*e^2 - 20', 18, 'e^2 - 6*e + 2', '-2*e^2 + 7*e + 16', '2*e^2 - e - 16', '6*e^2 - 4*e - 26', '-4*e^2 - 4*e + 22', '-9/2*e^2 + 4*e + 20', '-e^2 + 3*e + 26', '1/2*e^2 + 2*e + 12', '-e^2 + 8*e - 2', '-2*e^2 - 3*e + 2', '2*e^2 + e + 10', '-5*e^2 + 2*e + 20', 'e^2 - 5*e - 12', '5/2*e^2 + 2*e - 16', '-e^2 - 8*e + 22', '2*e^2 - 8*e - 22', '-3/2*e^2 + 6*e + 16', 'e^2 - 10', '-5*e^2 + 5*e + 38', '-e^2 - 2*e - 14', '-2*e^2 - 2*e + 6', '2*e^2 - 4*e - 12', '3*e^2 - 4*e - 2', '-9/2*e^2 + 2*e + 26', '-9*e^2 + 8*e + 44', '2*e^2 + 2*e - 20', 'e^2 + 8*e - 2', '-8*e^2 + 2*e + 30', 'e^2 + 2*e - 28', '-9/2*e^2 + 12*e + 34', '3*e^2 + 2*e + 4', 'e^2 - 8*e - 10', '-e^2 - 11*e + 10', '-e^2 + 6*e + 22', '-7/2*e^2 - 2*e + 24', '-5/2*e^2 - 6*e + 4', '-9/2*e^2 + 6*e + 36', '-3*e^2 + 8*e - 2', '-3*e^2 + 8*e', '-5*e^2 + e + 36', '5*e^2 + 2*e - 20', '6*e^2 - 10*e - 34', '4*e^2 - 7*e - 4', '-e^2 - 6*e + 12', '-13/2*e^2 + 32', '5/2*e^2 + 8*e - 16', '7*e^2 - 6*e - 44', '3*e^2 - 6*e - 40', '-5*e - 4', '-6*e^2 + 44', '-7/2*e^2 - 2', '3*e^2 - 6*e', '-4*e^2 + 8*e + 40', '-2*e^2 - 4*e + 22', '-1/2*e^2 - 6*e + 16', '-3*e^2 + 6*e + 6', '1/2*e^2 - 10*e', '7/2*e^2 - 4*e - 18', '-5*e^2 + 3*e + 26', '-9/2*e^2 + 8*e + 42', '-5*e^2 + 2*e + 48', '3*e^2 + 3*e - 28', '8*e - 12', '-1/2*e^2 - 4*e + 42', '-1/2*e^2 + 10', '7/2*e^2 - 8', '5/2*e^2 - 18', '3*e^2 + 7*e - 32', '-7/2*e^2 + 8*e + 20', '-e^2 - 3*e + 22', '-3/2*e^2 - 8*e + 20', '-6*e^2 + 2*e + 34', '-6*e^2 + 19*e + 46', '-2*e^2 - 8*e + 6', '2*e^2 + 4*e - 24', '19/2*e^2 + 2*e - 44', '7*e^2 - 16*e - 36', '15/2*e^2 - 16*e - 52', '3/2*e^2 + 2*e - 34', '-4*e^2 + 8*e + 48', '-6*e - 8', '10*e^2 + 2*e - 46', '2*e^2 + 4*e + 6', '-3/2*e^2 + 4*e + 20', '-7*e^2 + 2*e + 18', '-6*e^2 + 4*e + 12', '27/2*e^2 - 10*e - 60', 'e^2 - e + 2', '-3/2*e^2 + 6', '-5*e^2 + 8*e + 32', '12*e^2 - 6*e - 56', '10*e^2 - 10*e - 44', '5/2*e^2 - 10*e + 8', '5/2*e^2 - 8*e - 8', '-10*e^2 + 12*e + 40', '5*e^2 - 6*e - 24', '-3*e^2 + 12*e + 48', '6*e^2 + 6*e - 36', '-3*e^2 - 3*e + 34', '-e^2 + 4*e - 2', '9/2*e^2 + 12*e - 48', '-3*e^2 + 4*e + 6', '-5*e^2 + 2*e + 2', '-3*e^2 + 4*e + 6', '5*e^2 - 4*e + 4', 'e^2 - 7*e - 12', '-9/2*e^2 - 12', '-1/2*e^2 - 4*e + 14', '-7*e^2 + 2*e + 12', '3/2*e^2 - 2*e + 18', '-7*e^2 + 4*e + 22', '6*e^2 - 38', '2*e^2 - 11*e + 10', '6*e^2 - 2*e - 6', 'e^2 + 6*e + 28', '2*e^2 - 6*e - 14', '-11/2*e^2 + 10*e + 56', '-11/2*e^2 + 6*e + 14', '-5*e^2 + 8*e + 40'], 'hecke_polynomial': 'x^3 - 8*x - 4', 'label': '3.3.49.1-223.1-a'}
31. label: 3.3.49.1-232.1-a
    {'AL_eigenvalues': [['[8, 2, 2]', 1], ['[29, 29, 3*w^2 - 2*w - 4]', -1]], 'hecke_eigenvalues': [2, -1, -4, 5, -1, 4, 1, 0, -3, 0, -6, 0, -13, -7, 2, -9, 12, 3, 12, 6, 9, -1, 17, 8, 6, -12, -6, -12, 5, -22, -16, -16, 8, -10, 0, -9, 12, 2, -19, 5, 0, 12, -12, -4, -22, 23, 8, -1, 26, -15, 9, 12, -30, 9, -21, 30, 18, 6, -6, 6, 3, 14, 20, -16, -16, -25, -13, -10, -10, 26, -1, -4, 29, -9, 36, 0, 32, -34, 26, -19, 32, 26, 9, 18, 39, -18, 12, 36, -7, 32, 2, 30, 15, -12, -27, 9, 21, 8, -10, 17, -36, 18, 33, 23, -10, -22, 24, -15, -45, 20, -16, -7, 11, -16, 32, 6, 0, -24, 14, -31, -46, 27, -42, 18, 32, 32, -10, -9, -48, 39, 2, -43, 38, -25, 2, 8, -18, 12, 30, 38, 11, 20, 9, 42, -48, -42, 9, 24, -46, -4, -10, 15, 48, 9, 8, 20, -16, 27, 30, -36, 53, -28, -58, 45, -18, 60, 26, 8, -55], 'hecke_polynomial': 'x', 'label': '3.3.49.1-232.1-a'}
32. label: 3.3.49.1-232.1-b
    {'AL_eigenvalues': [['[8, 2, 2]', -1], ['[29, 29, 3*w^2 - 2*w - 4]', 1]], 'hecke_eigenvalues': [-2, 1, 4, -1, -1, 8, -1, 0, 5, -8, 2, 12, -11, -1, -6, -13, -8, -3, -16, 14, -11, 13, -7, -12, -6, 4, -6, 16, -7, 18, -12, 0, 0, 10, 8, -7, -12, 2, 7, 7, 8, 8, -12, 12, 22, -13, -16, 19, -6, -25, 15, 0, 2, -3, 7, 2, -18, 2, 14, -6, 9, -2, 28, -12, 8, 13, 33, 30, 10, -10, 35, -20, 25, 25, -20, -40, -28, -18, 22, -1, 4, 14, -15, -10, 5, -18, -8, 12, 29, -16, 34, 42, -13, -28, 9, 29, -21, 28, -22, 13, -32, 18, -17, 7, 42, -18, 8, 43, 3, -48, -8, -33, -41, 24, -16, -10, -20, 0, -6, 9, -46, 17, 2, -18, 8, -32, 38, -21, 24, 9, -22, 13, -42, 5, -50, 20, -42, 48, 38, 2, 37, 32, 23, 18, 8, -30, 15, 40, -26, -16, -26, 7, 12, 57, 44, -56, -16, 47, 2, 12, -27, -32, -42, 39, 54, -16, -22, -12, -17], 'hecke_polynomial': 'x', 'label': '3.3.49.1-232.1-b'}
33. label: 3.3.49.1-239.1-a
    {'AL_eigenvalues': [['[239, 239, 6*w^2 - 5*w - 7]', -1]], 'hecke_eigenvalues': ['e', '-e', '3/4*e^2 - 3/2*e - 5', '-1/2*e^2 + e + 4', '-1/2*e + 1', '-3/4*e^2 + 2*e + 9', 'e^2 + e - 8', '-7/4*e^2 + 3/2*e + 11', -4, '-1/4*e^2 + 7', '3/2*e^2 - e - 12', '-5/4*e^2 - e + 11', 'e^2 - e - 12', '-3/4*e^2 + 7', '1/2*e^2 - 1/2*e - 1', '-1/2*e^2 + e - 6', '2*e^2 - 5/2*e - 19', 'e - 4', '-3/2*e^2 + 5/2*e + 7', '3/4*e^2 - e - 7', '5/4*e^2 - 9/2*e - 11', '-1/2*e^2 - 2*e + 10', '-2*e^2 - 3/2*e + 17', '3/2*e^2 - 7/2*e - 21', 'e + 4', '-11/4*e^2 + 2*e + 19', '-2*e - 6', '9/4*e^2 - 11/2*e - 25', '-5/4*e^2 + 11/2*e + 11', '-1/4*e^2 + 7/2*e - 3', '1/4*e^2 - e + 1', '1/2*e^2 + 3*e - 18', '-e^2 + 3*e + 10', '-1/2*e^2 + 3*e + 12', 'e^2 + 2*e - 14', '-5/4*e^2 + 13/2*e + 9', '-2*e^2 + 5/2*e + 21', '1/2*e^2 - 3*e + 4', '5/2*e^2 - 5/2*e - 9', '-1/4*e^2 + 5*e + 5', '-3/2*e^2 + 5*e + 16', '1/2*e^2 + 3/2*e + 1', '-3/2*e^2 - 3*e + 12', '4*e^2 - 6*e - 30', '1/2*e^2 + 7*e - 12', '1/4*e^2 - 7*e - 3', '1/4*e^2 + 3/2*e + 9', '-11/4*e^2 + 13/2*e + 25', 'e^2 + 3*e', 1, '1/2*e^2 - 2*e - 14', '-7/4*e^2 - 1/2*e - 1', '-3/2*e + 9', 'e^2 - 16', '7/2*e^2 - 3*e - 16', '-4*e + 8', '5/2*e^2 - 2*e - 32', '-5/2*e^2 + 5*e + 28', '-2*e^2 - 6*e + 28', '1/2*e^2 + 3*e', '-17/4*e^2 + 11/2*e + 29', '-1/2*e^2 + 2*e + 18', '1/2*e^2 + 4', '1/4*e^2 + 9/2*e + 1', '-7/4*e^2 + 1/2*e + 21', '-9*e + 2', '-2*e^2 - 5*e + 30', '-5/2*e^2 - 3*e + 24', '1/4*e^2 - 7/2*e + 5', '-3/2*e^2 + 4*e + 6', '-1/2*e^2 + 4', '1/4*e^2 - 1/2*e + 11', '3*e^2 + 5/2*e - 19', '11/4*e^2 - 1/2*e - 7', '3*e^2 - 6*e - 30', '-1/2*e^2 - 5*e + 16', '11/2*e^2 - 3*e - 42', '-11/4*e^2 + 3*e + 13', '-e^2 + 3*e + 20', '2*e^2 - 2*e + 16', '2*e^2 - 2*e - 18', '-3/2*e^2 + 7*e - 2', '-5/2*e^2 + 6*e + 18', '2*e^2 - 6*e - 38', '-9/4*e^2 - 1', '-2*e^2 + 6*e - 2', '-2*e^2 + 5*e + 40', '-3/4*e^2 + 17/2*e + 17', '7/2*e^2 - 3/2*e - 37', '2*e^2 - 6*e - 24', '-7/2*e^2 - 2*e + 24', '5*e^2 - 1/2*e - 45', 'e^2 + 2*e + 4', '3/4*e^2 + 17/2*e - 15', '9/2*e^2 + e - 30', '-e^2 - 6*e + 4', '2*e^2 - 4*e', '-7/2*e^2 - 6*e + 38', '-1/2*e^2 - 6*e + 16', '-3/2*e^2 + 10*e + 20', '-13/4*e^2 + 11/2*e + 21', '-5/4*e^2 - 5*e + 11', '-23/4*e^2 + 9*e + 51', '5/2*e^2 - 13*e - 32', '4*e^2 - 4*e - 30', '-5*e^2 + 4*e + 40', '3/2*e^2 + 12', '1/2*e^2 - 3/2*e + 3', '-4*e^2 + 17/2*e + 41', '-11/2*e^2 + 6*e + 52', 'e + 12', '-15/4*e^2 - e + 13', '-3/2*e^2 - 8*e + 22', '6*e^2 - 6*e - 32', '-1/2*e^2 - 10*e + 8', '23/4*e^2 - 29/2*e - 51', '-4*e^2 - 7/2*e + 43', '1/2*e^2 + 2*e + 34', '-5/2*e^2 + 4*e + 20', '3/2*e^2 - 8*e - 4', '5/2*e^2 - 3*e - 6', '5*e^2 + 2*e - 42', '-3*e^2 + 8*e + 14', '6*e^2 - 16*e - 64', '-e^2 - 24', '1/2*e^2 + 4*e + 18', '-3*e^2 + 5/2*e - 1', '5/2*e^2 - 3*e - 4', '17/4*e^2 - 6*e - 41', '5/4*e^2 + 7/2*e - 27', '11/4*e^2 - 13/2*e - 29', '4*e^2 - 10*e - 30', '-7*e^2 + 9*e + 46', '3/2*e^2 + 8*e - 2', '10*e + 10', '-1/4*e^2 - 21/2*e + 3', '9/4*e^2 - 1/2*e - 5', '19/4*e^2 - 4*e - 35', '13/4*e^2 - 39', '9/4*e^2 + e - 37', '-6*e^2 + 6*e + 60', '-2*e^2 - 3*e + 12', '15/4*e^2 - 7*e - 19', '3/2*e^2 + e + 10', '-e^2 - 7*e + 30', '-3*e^2 + 5*e + 6', '1/2*e^2 - 4*e - 44', '13/2*e + 23', 'e^2 + 2*e + 26', 'e^2 - 26', '6*e^2 - 2*e - 24', '5/2*e^2 - 4*e - 28', '13/2*e^2 - 11/2*e - 51', '21/4*e^2 - 7*e - 61', '-15/2*e^2 + 6*e + 58', '-7/2*e^2 + 8*e + 24', '3/2*e^2 - 3/2*e - 33', '27/4*e^2 - 16*e - 55', '-9/2*e^2 + 9/2*e + 25', '1/2*e^2 + 2*e + 14', '4*e^2 - 4*e', '3/2*e^2 - 9*e - 4', '-5/2*e^2 - 3/2*e + 5', '11/4*e^2 - 7*e - 33', '-5*e^2 + 9*e + 46', '-3/4*e^2 + 4*e + 1', '-1/2*e^2 + 4*e + 50', '3*e^2 - 13*e - 38', '5/2*e^2 + 19/2*e - 33'], 'hecke_polynomial': 'x^3 - 12*x - 8', 'label': '3.3.49.1-239.1-a'}
34. label: 3.3.49.1-251.1-a
    {'AL_eigenvalues': [['[251, 251, w^2 - 3*w - 8]', -1]], 'hecke_eigenvalues': [3, 4, -6, 4, -6, -7, 0, -5, -5, -3, 2, -3, 4, -11, 4, -3, 12, 7, 4, 4, -11, 8, -7, 13, 19, -6, 14, 21, -2, -12, -12, 20, -5, 5, 23, -12, -22, 12, 2, 17, 13, -12, -22, 22, 12, 22, -26, 4, -21, 20, 0, -25, 1, 7, 12, -18, -3, 22, -6, 9, -6, -12, -2, -12, -7, -22, -22, 35, 5, 20, -10, -20, -10, -5, -30, 20, 2, -18, 22, -16, -1, -26, -5, -30, 0, -13, -38, 12, 4, 29, -16, -28, -8, -18, 24, -36, 9, 28, -12, 33, 23, -32, 33, 2, -28, 12, 3, 8, 8, 17, -18, 47, -36, 14, 14, -30, 20, -15, -31, -31, 14, 42, 12, 22, -2, 8, -37, 39, -46, -26, -42, -32, -7, 30, 40, 0, -17, 18, 3, 17, -13, 37, 18, -22, 33, -30, 50, -15, -26, 29, -46, 12, -28, -18, 14, 9, -31, -43, 42, 37, 28, -47, 33, 24, -6, -51, 13, -32, -32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-251.1-a'}
35. label: 3.3.49.1-281.1-a
    {'AL_eigenvalues': [['[281, 281, -7*w^2 + 6*w + 9]', -1]], 'hecke_eigenvalues': ['e', '-1/4*e^2 - e + 3', '1/4*e^2 - 2', '1/2*e', '-e + 2', 'e^2 + 3/2*e - 8', '1/2*e^2 + 1/2*e - 6', '1/2*e^2 + e - 10', '-1/2*e^2 + 2', '-e^2 - e + 14', '-3/2*e^2 - 7/2*e + 16', '-e^2 - 1/2*e + 10', '3/2*e^2 + 3/2*e - 14', '-5/4*e^2 - e + 12', 'e^2 - e - 12', '1/2*e^2 + 3*e - 4', '-1/2*e - 4', '-3/4*e^2 - e + 8', '1/2*e^2 - e', '3/2*e^2 + 4*e - 24', '-3/4*e^2 - e', '-3*e + 2', '-e^2 + 1/2*e + 18', 'e^2 + e - 14', '5/2*e + 4', '-1/2*e^2 - 2*e + 2', '-3/4*e^2 + 2*e + 6', '3/4*e^2 + 4*e - 14', '3/2*e^2 + 9/2*e - 24', '-e^2 - 3*e + 16', '-3/2*e^2 - e + 12', '-e^2 - 4*e + 16', '3/2*e - 2', '2*e^2 + e - 16', '-5/2*e^2 - 7/2*e + 26', '1/2*e^2 + 3/2*e - 16', '3/2*e^2 + 5*e - 8', '-e^2 + e + 18', '-3/2*e^2 - 4*e + 10', '3/4*e^2 - 2*e - 10', '-2*e^2 - 7*e + 22', 'e^2 + 6*e - 14', '-e - 14', '-3/2*e^2 - 3/2*e + 20', '-3/4*e^2 + e - 8', '-1/2*e^2 + 2*e + 8', '-3/2*e^2 - 5*e + 20', '-1/2*e^2 - 3*e + 20', '1/4*e^2 + 3*e + 4', 'e^2 - 1/2*e - 30', '-1/2*e^2 + 1/2*e + 8', '-2*e^2 - 17/2*e + 26', '1/2*e^2 + 1/2*e + 6', '-7/2*e^2 - 5*e + 36', '-1/2*e^2 + 4*e + 12', 1, 'e^2 + 5*e - 22', '1/2*e^2 - 11/2*e - 16', '2*e^2 + 2*e - 10', '3/4*e^2 + 6*e - 2', 'e^2 + e - 18', '-2*e + 4', '5/2*e^2 - e - 24', '2*e + 12', 'e^2 + 1/2*e + 10', '3/2*e^2 + 3/2*e - 20', '-7/4*e^2 + 30', '3*e + 6', '3*e^2 + 5*e - 22', 10, 'e^2 - 6*e - 16', '11/2*e + 6', '3/2*e^2 + 1/2*e - 10', '1/2*e^2 + 3*e + 4', '-1/2*e^2 + 5*e + 12', '-2*e^2 - 2*e + 24', 'e^2 - e + 6', '7/2*e^2 + 11/2*e - 46', 'e + 14', '2*e^2 + 8*e - 38', '-e^2 - e + 6', '5/2*e^2 + 11/2*e - 10', '-2*e^2 + 5/2*e + 18', '2*e^2 + 5/2*e - 28', '5/2*e^2 + e - 18', 'e^2 + 2*e - 18', '1/2*e^2 - 15/2*e - 20', '-9*e - 6', '3/4*e^2 + 7*e - 20', '-5/4*e^2 - 5*e + 24', '-e^2 - 11/2*e + 22', '5/2*e^2 + 7*e - 44', '-9/2*e^2 - 8*e + 44', '-3/2*e^2 - 19/2*e + 14', '-9/2*e^2 - 25/2*e + 62', '2*e^2 + 2*e - 40', '9/2*e^2 + 11*e - 52', '-11/2*e^2 - 13/2*e + 52', '-3/2*e^2 + 1/2*e + 20', '-e^2 - 1/2*e + 6', '5*e^2 + 8*e - 56', 'e', '1/2*e^2 + 2*e', '-3/2*e^2 + 7*e + 22', '1/2*e^2 + 2*e - 26', '5/2*e^2 + 27/2*e - 26', '-6*e^2 - 8*e + 46', '9/2*e^2 + 5*e - 30', '7/2*e^2 + 4*e - 18', '9/4*e^2 - 7*e - 36', '-9/2*e^2 - 6*e + 48', '-e^2 + 2*e', '3/2*e^2 + 8', '-e^2 + 9/2*e + 42', '11/2*e^2 + e - 56', '-5/2*e^2 - 4*e + 32', '1/2*e^2 - 3*e - 8', '-3/2*e^2 - 3*e', '-7/2*e^2 - 10*e + 58', '5/2*e^2 + 8*e - 10', '17/4*e^2 + 8*e - 42', '2*e^2 + 11*e - 14', '4*e^2 + 9*e - 26', '-3*e^2 - e + 22', '4*e^2 + 9*e - 40', '-5/2*e^2 - 7*e + 44', '-5/2*e^2 - 15/2*e + 48', '-1/2*e^2 + 2*e + 20', '-17/4*e^2 - 7*e + 32', '3/4*e^2 + e + 8', '-1/2*e^2 + 2*e + 34', '4*e + 6', '-5/2*e^2 - 3/2*e + 50', '-4*e^2 - 11*e + 54', '-3/2*e^2 - 5*e + 46', '-3/2*e^2 + 6*e + 18', 'e^2 + e - 14', '3/2*e^2 + 1/2*e + 18', '17/4*e^2 - 54', '-5*e^2 - 1/2*e + 56', '-3*e^2 - 7*e + 40', '-11/4*e^2 - 3*e + 12', '-3*e^2 - 25/2*e + 40', '-9/2*e^2 - 18*e + 60', '11/4*e^2 + 5*e - 8', '-17/4*e^2 - 9*e + 64', '-1/2*e^2 + 3*e + 28', '9/2*e^2 - 48', '3*e^2 + 10*e - 38', '1/2*e^2 + 11/2*e - 22', '-2*e^2 + 7*e + 46', '-3/2*e^2 - 3*e + 42', '2*e^2 - 7*e - 30', 'e^2 + 5*e - 22', '-11/2*e + 18', '4*e + 12', '-3*e^2 - 3*e + 60', '2*e^2 + 2*e + 28', '-7/2*e^2 - 11*e + 24', '5/2*e^2 + 11*e - 56', '3*e^2 + 6*e - 22', '9/4*e^2 - 4*e - 34', '1/2*e^2 - 6*e - 26', '-4*e^2 - 8*e + 34', '-e^2 - 5*e - 2', '-2*e^2 + 6*e + 54', '-11/2*e^2 - 7*e + 56', '-21/2*e + 2', '-1/4*e^2 - e + 12'], 'hecke_polynomial': 'x^3 - 16*x + 16', 'label': '3.3.49.1-281.1-a'}
36. label: 3.3.49.1-287.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[41, 41, 2*w^2 - 3*w - 4]', -1]], 'hecke_eigenvalues': [-1, 5, -2, 6, -6, 4, -2, -6, -6, -10, 1, -6, -8, 4, 12, 4, -8, 0, -8, 4, 12, -2, -14, -2, -2, 18, -10, -2, 12, 8, 0, 8, 16, -12, 0, 0, 24, 6, 6, -10, -10, -26, -22, 12, -12, 4, -16, 12, -8, -8, -8, -24, 12, 4, -12, 2, -30, -6, -10, -10, -18, 20, -12, 0, 2, -22, 22, -10, 30, 10, 4, 36, -20, 28, 16, 20, 14, 22, -18, 26, 10, 34, -30, -14, 18, -18, 14, 30, 4, -8, 36, 28, 12, 20, -4, 44, -24, 12, -28, 44, 0, -28, 40, 10, -38, -38, -6, 22, -22, -16, 40, -40, -4, -4, -20, 28, 8, 28, -6, -14, 22, -34, 30, 30, 32, 28, -28, 0, -36, -8, 22, -10, -46, 10, -34, -14, 22, 30, -6, -44, 12, 20, -24, 12, -36, -20, -48, 0, -50, 42, 26, 50, -14, -38, 36, -4, 24, -32, 24, 12, 26, 26, -38, -10, 58, -34, 44, -32, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-287.1-a'}
37. label: 3.3.49.1-287.1-b
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[41, 41, 2*w^2 - 3*w - 4]', -1]], 'hecke_eigenvalues': [-1, 1, -2, -2, 6, -4, -2, 6, 6, 2, 1, -6, 4, -4, -4, 0, 8, -8, -4, -12, -12, -6, 2, -6, -6, 18, 10, -2, -8, 16, -16, 4, 20, -4, -8, -8, -8, -10, 22, -10, 6, 6, -2, -28, 20, -28, 16, 24, -16, -16, 0, 0, 28, -20, -20, -22, 10, -6, 6, 6, -10, 20, 4, -20, -14, 2, 10, 30, -2, 22, -20, -4, -20, 20, -4, -12, 22, 6, -10, 18, 34, 2, 2, 34, 34, 30, -2, -18, 24, 16, 24, 44, -36, 12, 32, 32, 8, 20, 4, 4, -12, -20, -28, 26, 42, -22, -22, 18, 42, 8, -40, -8, 4, -12, -44, 4, -36, -28, -46, 34, -6, -2, -34, -34, -8, 0, 48, 24, 48, -8, 22, 22, -34, 2, -38, 2, 30, -34, -10, 28, -20, -4, -44, -4, 28, -16, 24, -8, 6, -2, -34, -14, 50, 2, 20, 4, -4, -48, 16, 40, 42, 42, -22, 34, 26, 18, 16, -8, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-287.1-b'}
38. label: 3.3.49.1-287.1-c
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[41, 41, 2*w^2 - 3*w - 4]', 1]], 'hecke_eigenvalues': [1, -3, 2, 2, 2, 4, -6, -6, 6, -6, -1, 6, -4, -4, 8, -12, 0, 0, -12, -12, 12, 14, 14, 2, -18, -6, -6, 6, 8, -16, -4, -4, -16, -4, -12, 12, 0, 2, 2, 2, -6, 6, 18, 20, -4, 8, 8, -28, 8, 0, 0, 0, 24, -24, 0, -6, 30, -6, -30, 30, 6, -28, 20, -16, 14, -22, -22, 26, 2, 26, 20, 20, -4, 36, -24, -36, -10, -10, 26, -10, -34, 14, -6, 18, 18, 18, 18, -6, -4, -4, -40, -12, 12, 12, -36, 24, 0, 44, 20, 20, 36, 12, -48, -10, -10, -10, -6, 18, -18, 8, 32, -16, 44, -28, -4, -36, -12, -12, 26, 26, 26, 30, 6, 6, -16, 32, 20, 24, 36, 12, 38, -10, 2, 14, -22, 14, -30, 18, 30, 20, 20, 20, -12, 12, 12, 0, -24, 0, 26, 26, -10, 30, 54, -54, -52, 20, 56, 24, -12, -24, 14, -10, 14, 6, -30, -30, -52, 8, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-287.1-c'}
39. label: 3.3.49.1-293.1-a
    {'AL_eigenvalues': [['[293, 293, -7*w^2 + 2*w + 10]', -1]], 'hecke_eigenvalues': ['e', '3*e^3 - 4*e^2 - 24*e + 16', '-2*e^3 + 3*e^2 + 16*e - 12', '-4*e^3 + 6*e^2 + 30*e - 22', '-e^2 + 5', 'e^3 - 2*e^2 - 9*e + 8', '2*e^3 - 2*e^2 - 18*e + 8', '6*e^3 - 8*e^2 - 46*e + 28', '-4*e^3 + 6*e^2 + 32*e - 22', '-4*e^3 + 5*e^2 + 32*e - 19', '-2*e^2 + 2*e + 8', 'e^2 - 2*e - 6', '-5*e^3 + 6*e^2 + 43*e - 22', '6*e^3 - 8*e^2 - 44*e + 26', '-3*e^3 + 4*e^2 + 21*e - 12', '8*e^3 - 10*e^2 - 63*e + 40', '-6*e^3 + 10*e^2 + 44*e - 38', '-7*e^3 + 10*e^2 + 53*e - 36', '-3*e^3 + 2*e^2 + 23*e - 6', '2*e^2 - 4*e - 12', '8*e^3 - 12*e^2 - 64*e + 42', '2*e^3 - 4*e^2 - 12*e + 10', '6*e^3 - 7*e^2 - 46*e + 32', '-2*e^3 + 4*e^2 + 20*e - 24', '4*e^3 - 7*e^2 - 34*e + 27', '-6*e^3 + 8*e^2 + 46*e - 30', 'e^2 - 2*e - 7', '-10*e^3 + 14*e^2 + 76*e - 54', '-2*e^3 + 2*e^2 + 20*e - 12', '8*e^3 - 14*e^2 - 62*e + 52', '-6*e^3 + 8*e^2 + 47*e - 24', '6*e^3 - 6*e^2 - 48*e + 26', '10*e^3 - 12*e^2 - 75*e + 38', '-4*e^3 + 6*e^2 + 28*e - 26', '4*e - 10', '2*e + 6', 'e^3 - 5*e - 12', '-10*e^3 + 14*e^2 + 84*e - 62', '6*e^3 - 9*e^2 - 48*e + 41', '6*e^3 - 9*e^2 - 46*e + 25', '10*e^3 - 15*e^2 - 74*e + 61', '16*e^3 - 21*e^2 - 130*e + 84', '10*e^3 - 13*e^2 - 80*e + 54', '4*e^3 - 4*e^2 - 36*e + 22', '-18*e^3 + 24*e^2 + 140*e - 90', '-2*e^3 + 2*e^2 + 11*e - 2', '-14*e^3 + 18*e^2 + 113*e - 66', '6*e^3 - 8*e^2 - 40*e + 28', '-4*e^3 + 4*e^2 + 36*e - 24', '-4*e^2 + 4*e + 26', '-12*e^3 + 18*e^2 + 95*e - 54', '-2*e^3 + 2*e^2 + 16*e - 14', '-4*e^3 + 10*e^2 + 30*e - 40', '4*e^3 - 6*e^2 - 32*e + 12', '20*e^3 - 26*e^2 - 159*e + 102', '16*e^3 - 22*e^2 - 130*e + 86', '-20*e^3 + 25*e^2 + 160*e - 96', '-18*e^3 + 27*e^2 + 144*e - 98', 1, '4*e^3 - 8*e^2 - 32*e + 36', '-10*e^3 + 16*e^2 + 82*e - 62', '-2*e^3 + 4*e^2 + 8*e - 10', '20*e^3 - 26*e^2 - 152*e + 102', '-2*e^3 + 4*e^2 + 10*e - 26', '18*e^3 - 25*e^2 - 146*e + 95', '-12*e^3 + 20*e^2 + 94*e - 76', '-16*e^3 + 21*e^2 + 122*e - 68', '-20*e^3 + 26*e^2 + 160*e - 92', '-24*e^3 + 34*e^2 + 192*e - 126', '-e^2 + 6*e + 1', 'e^3 - 17*e + 4', '-2*e^2 + 5*e + 30', '7*e^3 - 12*e^2 - 55*e + 48', '20*e^3 - 28*e^2 - 157*e + 90', '-6*e^3 + 2*e^2 + 56*e - 4', '10*e^3 - 16*e^2 - 67*e + 72', '16*e^3 - 22*e^2 - 130*e + 80', '14*e^3 - 21*e^2 - 100*e + 70', '-22*e^3 + 29*e^2 + 166*e - 112', '5*e^2 - 2*e - 16', '14*e^3 - 22*e^2 - 110*e + 80', '-2*e^3 + 4*e^2 + 6*e - 14', '10*e^3 - 16*e^2 - 80*e + 60', '18*e^3 - 26*e^2 - 132*e + 86', '8*e^3 - 11*e^2 - 54*e + 45', '4*e^3 - 10*e^2 - 32*e + 40', '4*e^2 - 8*e - 22', '22*e^3 - 29*e^2 - 176*e + 127', '3*e + 2', '-16*e^3 + 24*e^2 + 116*e - 86', '-16*e^3 + 18*e^2 + 124*e - 58', '12*e^3 - 16*e^2 - 92*e + 50', '-6*e^3 + 8*e^2 + 40*e - 42', '-18*e^3 + 24*e^2 + 136*e - 70', '-26*e^3 + 36*e^2 + 195*e - 122', '10*e^3 - 12*e^2 - 84*e + 36', '10*e^3 - 12*e^2 - 85*e + 44', '-18*e^3 + 24*e^2 + 148*e - 110', '2*e^3 - 22*e - 8', '10*e^3 - 10*e^2 - 78*e + 50', '-12*e^3 + 16*e^2 + 83*e - 66', '-3*e^3 + 2*e^2 + 29*e + 12', '-18*e^3 + 22*e^2 + 146*e - 72', '-26*e^3 + 33*e^2 + 204*e - 123', '30*e^3 - 44*e^2 - 236*e + 166', '-10*e^3 + 14*e^2 + 80*e - 48', '12*e^3 - 16*e^2 - 98*e + 78', '12*e^3 - 16*e^2 - 96*e + 62', '6*e^3 - 7*e^2 - 42*e + 9', '4*e^3 - 8*e^2 - 25*e + 26', '2*e^3 + 6*e^2 - 21*e - 24', 'e^3 - 6*e^2 - 15*e + 40', '-8*e^3 + 16*e^2 + 52*e - 58', '-14*e^3 + 20*e^2 + 114*e - 74', '23*e^3 - 32*e^2 - 183*e + 118', '-3*e^3 + 35*e + 18', '-20*e^3 + 28*e^2 + 146*e - 90', '14*e^3 - 16*e^2 - 107*e + 44', '-8*e^3 + 13*e^2 + 70*e - 53', '10*e^3 - 11*e^2 - 84*e + 69', '4*e^3 - 4*e^2 - 32*e + 14', '-14*e^3 + 23*e^2 + 118*e - 94', '-20*e^3 + 32*e^2 + 158*e - 108', '4*e^3 - 2*e^2 - 24*e - 4', '12*e^3 - 20*e^2 - 90*e + 88', '-16*e^3 + 26*e^2 + 115*e - 88', '-4*e^3 + 4*e^2 + 40*e + 10', '-13*e^3 + 20*e^2 + 99*e - 74', '18*e^3 - 22*e^2 - 148*e + 106', '2*e^3 - 6*e^2 - 12*e + 54', '-12*e^3 + 19*e^2 + 80*e - 64', '-20*e^3 + 25*e^2 + 158*e - 115', '6*e^2 - 6*e - 16', '6*e^3 - 10*e^2 - 52*e + 68', '16*e^3 - 24*e^2 - 128*e + 102', '28*e^3 - 34*e^2 - 218*e + 136', '-8*e^3 + 14*e^2 + 52*e - 68', '2*e^3 - 6*e^2 - 24*e + 58', '-12*e + 18', '-24*e^3 + 36*e^2 + 180*e - 134', '-8*e^3 + 8*e^2 + 60*e - 26', '-9*e^3 + 18*e^2 + 67*e - 64', '2*e^3 - 4*e - 18', '-23*e^3 + 34*e^2 + 171*e - 138', '-26*e^3 + 40*e^2 + 204*e - 126', '24*e^3 - 32*e^2 - 184*e + 102', '4*e^3 - 42*e + 4', '-2*e^3 - 6*e^2 + 21*e + 36', '-8*e^3 + 8*e^2 + 62*e', '2*e^3 - e^2 - 16*e + 22', '6*e^3 - 10*e^2 - 40*e + 56', '-10*e^2 + 2*e + 46', '-6*e^3 + 13*e^2 + 40*e - 45', '18*e^3 - 33*e^2 - 134*e + 106', '22*e^3 - 34*e^2 - 164*e + 116', '2*e^3 + 2*e^2 - 13*e - 18', '-4*e^3 + 8*e^2 + 32*e - 26', '18*e^3 - 22*e^2 - 144*e + 96', '24*e^3 - 30*e^2 - 190*e + 94', '-2*e^3 + 3*e + 14', '24*e^3 - 30*e^2 - 190*e + 120', '18*e^3 - 27*e^2 - 130*e + 111', '2*e^3 - 12*e + 10', '-28*e^3 + 36*e^2 + 220*e - 162', '-8*e^3 + 12*e^2 + 66*e - 42', '-6*e^3 + 6*e^2 + 56*e - 18', '-8*e^3 + 4*e^2 + 72*e - 2', '-17*e^3 + 20*e^2 + 127*e - 70', '-22*e^3 + 34*e^2 + 178*e - 128'], 'hecke_polynomial': 'x^4 - 2*x^3 - 7*x^2 + 10*x - 3', 'label': '3.3.49.1-293.1-a'}
40. label: 3.3.49.1-301.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[43, 43, w^2 + 2*w - 5]', -1]], 'hecke_eigenvalues': [-1, -1, 0, 2, 4, 8, -6, -6, 2, 12, -4, 2, 1, 4, -12, -16, 0, 12, -18, -4, 12, -16, -4, -6, 6, 10, -2, 12, -20, 20, -4, 8, -8, 2, -6, 2, 6, -20, -14, -12, -2, -10, 6, 4, 16, -12, -14, -14, 20, 12, -16, 0, 6, 20, 12, 14, -14, 22, 12, -32, 10, -32, 14, 28, -10, -14, -18, -10, -20, 10, 28, 12, -4, 12, 10, -2, 34, 22, -2, 26, -2, 16, -22, 2, 26, 18, -2, 26, -32, 0, 20, -28, -4, -24, -22, -6, 20, -8, 4, 12, 2, 20, 42, 36, 30, -14, -10, -42, 18, 16, 32, -48, 44, -2, -32, -4, 20, 12, -46, -34, -26, 26, -30, 26, 14, -30, -28, -8, -40, 24, 42, -22, 26, -44, 10, 40, -8, 44, 14, 10, 38, 44, 28, -12, 36, -34, 4, 38, -22, -48, -12, -18, 20, 0, 20, -28, -8, 48, -24, 48, 52, -6, 26, -22, 6, 6, 32, 20, -8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-301.1-a'}
41. label: 3.3.49.1-307.1-a
    {'AL_eigenvalues': [['[307, 307, -3*w^2 + w - 3]', -1]], 'hecke_eigenvalues': ['e', '-1/2*e^2 + 3/2*e + 7/2', '1/2*e^3 - 3/2*e^2 - 11/2*e', 'e^3 - 2*e^2 - 14*e - 3', '-e^3 + 3*e^2 + 10*e - 1', '-2*e^3 + 5*e^2 + 21*e + 3', '-1/2*e^3 + e^2 + 5*e + 7/2', 'e^3 - 2*e^2 - 12*e - 3', '-1/2*e^3 + 2*e^2 + 4*e - 3/2', '1/2*e^3 - e^2 - 9*e - 3/2', '-2*e^3 + 5*e^2 + 23*e + 1', 'e^3 - 3*e^2 - 9*e - 2', 'e^3 - 3*e^2 - 9*e', '-e^3 + e^2 + 16*e + 7', '3/2*e^3 - 7/2*e^2 - 35/2*e - 3', '-e^3 + 2*e^2 + 11*e + 11', '2*e^3 - 5*e^2 - 21*e - 5', '-e^3 + 3*e^2 + 11*e - 2', '-e^3 + 2*e^2 + 14*e - 1', 'e^2 - 3*e - 7', '1/2*e^3 - e^2 - 3*e - 15/2', '3*e^3 - 9*e^2 - 31*e - 2', 'e^3 - e^2 - 17*e - 10', 'e^3 - 2*e^2 - 16*e - 5', '4*e^3 - 9*e^2 - 47*e - 13', '3/2*e^3 - 7/2*e^2 - 43/2*e - 3', '-3*e^3 + 7*e^2 + 35*e + 4', '3*e^3 - 8*e^2 - 30*e + 5', '-e^3 + 4*e^2 + 4*e - 5', '-2*e^3 + 5*e^2 + 21*e + 1', '-e^3 + e^2 + 19*e + 16', '-e^3 + e^2 + 21*e + 12', '1/2*e^3 - 3/2*e^2 - 3/2*e - 8', '-1/2*e^3 + 7/2*e^2 - 5/2*e - 12', '-2*e^3 + 5*e^2 + 26*e + 1', '2*e^3 - 6*e^2 - 22*e + 10', '-2*e^3 + 4*e^2 + 28*e - 2', '-4*e^3 + 10*e^2 + 45*e + 6', 'e^3 - 6*e^2 - 2*e + 19', 'e^3 - e^2 - 19*e - 12', '-2*e^3 + 8*e^2 + 14*e - 14', '3/2*e^3 - 3/2*e^2 - 51/2*e - 15', '-e^3 + 2*e^2 + 13*e + 19', '-7/2*e^3 + 15/2*e^2 + 87/2*e + 3', '-5*e^3 + 12*e^2 + 64*e + 13', '5/2*e^3 - 6*e^2 - 30*e - 21/2', '3*e^3 - 10*e^2 - 28*e + 11', '-5/2*e^3 + 5*e^2 + 35*e + 23/2', '-2*e^3 + 8*e^2 + 18*e - 20', '2*e^3 - 7*e^2 - 18*e + 12', '-2*e^3 + 5*e^2 + 28*e + 6', '-e^3 + e^2 + 21*e + 10', '-3*e^3 + 8*e^2 + 31*e + 8', 'e^2 - 16', '-e^3 + 2*e^2 + 15*e + 6', 'e^3 - e^2 - 19*e - 14', '-e^3 + 14*e + 19', '3*e^3 - 7*e^2 - 38*e + 8', '5*e^3 - 14*e^2 - 55*e - 12', '6*e^3 - 15*e^2 - 66*e - 15', '2*e^2 - 3*e - 14', 1, '-5*e^3 + 13*e^2 + 51*e - 4', '-9/2*e^3 + 13*e^2 + 47*e + 3/2', '-e^3 + 2*e^2 + 20*e + 1', '-4*e^3 + 7*e^2 + 55*e + 19', '4*e^3 - 11*e^2 - 43*e + 1', '-3/2*e^3 + 11/2*e^2 + 27/2*e - 5', '-1/2*e^3 - 5/2*e^2 + 31/2*e + 30', '2*e^3 - 8*e^2 - 15*e + 9', 'e^3 - 6*e^2 - 2*e + 13', '-2*e^3 + 5*e^2 + 26*e + 9', '-e^3 + 19*e + 26', '2*e^3 - 2*e^2 - 37*e - 27', '4*e^3 - 9*e^2 - 49*e + 3', '8*e^3 - 19*e^2 - 95*e - 17', 'e^3 - e^2 - 17*e + 8', '3*e^3 - 5*e^2 - 46*e - 18', '-e^3 + 4*e^2 + 4*e - 17', '-4*e^3 + 8*e^2 + 54*e + 8', '7/2*e^3 - 6*e^2 - 44*e - 71/2', '-e^3 + 19*e + 29', '11/2*e^3 - 29/2*e^2 - 129/2*e - 4', '4*e^3 - 8*e^2 - 53*e + 1', 'e^3 - 2*e^2 - 10*e - 7', '-e^3 + 4*e^2 + 8*e - 9', '-5*e^3 + 11*e^2 + 60*e + 2', '-15/2*e^3 + 35/2*e^2 + 167/2*e + 15', '-2*e^3 + 5*e^2 + 25*e - 1', '-5/2*e^3 + 9*e^2 + 23*e - 21/2', '4*e^3 - 7*e^2 - 57*e - 17', 'e^3 - 6*e^2 - 2*e + 23', '-2*e^3 + 6*e^2 + 14*e', '2*e^3 - 2*e^2 - 34*e - 30', '-3*e^3 + 5*e^2 + 47*e + 18', 'e^2 - 3*e + 5', 'e^3 - 3*e^2 - 5*e + 20', '5*e^3 - 14*e^2 - 54*e - 21', '2*e^3 - 7*e^2 - 14*e + 33', '-8*e^3 + 20*e^2 + 86*e + 24', '-7*e^3 + 17*e^2 + 82*e + 31', '7/2*e^3 - 10*e^2 - 34*e - 23/2', '11/2*e^3 - 21/2*e^2 - 157/2*e - 10', '5*e^3 - 12*e^2 - 66*e + 1', '8*e^3 - 18*e^2 - 100*e - 12', '-4*e^3 + 10*e^2 + 48*e - 6', '-3*e^3 + 2*e^2 + 51*e + 37', '-11/2*e^3 + 31/2*e^2 + 111/2*e + 9', '2*e^3 - 9*e^2 - 15*e + 35', '5*e^3 - 11*e^2 - 62*e - 14', '15/2*e^3 - 17*e^2 - 95*e - 17/2', '5/2*e^3 - 8*e^2 - 28*e + 23/2', '5/2*e^3 - 13/2*e^2 - 65/2*e - 11', 'e^3 - 7*e^2 + 3*e + 46', '3*e^3 - 10*e^2 - 27*e + 15', '-2*e^3 + 6*e^2 + 31*e - 19', '-9/2*e^3 + 19/2*e^2 + 123/2*e + 28', '4*e^3 - 11*e^2 - 39*e - 15', '-8*e^3 + 22*e^2 + 81*e + 11', '7*e^3 - 15*e^2 - 87*e - 30', '5/2*e^3 - 13/2*e^2 - 61/2*e + 3', '12*e - 6', '-9*e^3 + 24*e^2 + 89*e + 2', 'e^3 - 6*e^2 - 9*e + 34', '-3/2*e^3 + 2*e^2 + 18*e + 51/2', '-7*e^3 + 17*e^2 + 82*e + 18', '9*e^3 - 17*e^2 - 115*e - 36', '-1/2*e^3 + 1/2*e^2 + 17/2*e + 33', '-3*e^3 + 8*e^2 + 21*e + 19', '15/2*e^3 - 20*e^2 - 76*e - 19/2', '-3*e^3 + 11*e^2 + 23*e - 22', '-3*e^3 + 10*e^2 + 24*e - 17', '-2*e^3 + 10*e^2 + 11*e - 17', '3*e^3 - 9*e^2 - 24*e + 2', '1/2*e^3 - 2*e^2 - 4*e - 29/2', '3/2*e^3 - 2*e^2 - 24*e - 19/2', '-3*e^2 + 9*e + 51', '19/2*e^3 - 22*e^2 - 116*e - 43/2', '-2*e^3 + 4*e^2 + 28*e + 16', '1/2*e^3 - 13/2*e^2 + 19/2*e + 29', '-11*e^3 + 29*e^2 + 124*e + 26', '3*e^3 - 7*e^2 - 33*e - 12', '-7*e^3 + 21*e^2 + 67*e - 18', '3*e^3 - 6*e^2 - 44*e - 23', '-11/2*e^3 + 17*e^2 + 51*e - 39/2', '11*e^3 - 26*e^2 - 126*e - 29', '-9*e^3 + 21*e^2 + 103*e + 16', '-e^3 + 5*e^2 + 3*e - 12', '-7*e^3 + 17*e^2 + 87*e + 2', '2*e^3 - 4*e^2 - 22*e - 44', '-2*e^3 + 4*e^2 + 22*e + 18', '-7*e + 20', '-6*e^2 + 14*e + 32', '-2*e^3 + 6*e^2 + 22*e + 20', '-2*e^2 - 6*e + 40', '-7*e^3 + 13*e^2 + 95*e + 20', '8*e + 4', '-2*e^3 + 6*e^2 + 30*e - 14', '-2*e^3 + 4*e^2 + 28*e + 28', '11*e^3 - 24*e^2 - 132*e - 37', '-e^2 + 10*e + 4', '2*e^3 - 11*e^2 - 11*e + 43', '4*e^2 + 2*e - 48', '5*e^3 - 12*e^2 - 61*e + 7', '15/2*e^3 - 31/2*e^2 - 171/2*e - 37', '-5*e^3 + 10*e^2 + 68*e + 35', '-2*e^3 + 3*e^2 + 37*e + 25', '4*e^3 - 10*e^2 - 44*e + 14', '-5/2*e^3 + 7/2*e^2 + 59/2*e + 54'], 'hecke_polynomial': 'x^4 - 2*x^3 - 13*x^2 - 6*x + 1', 'label': '3.3.49.1-307.1-a'}
42. label: 3.3.49.1-328.1-a
    {'AL_eigenvalues': [['[8, 2, 2]', 1], ['[41, 41, w^2 - w - 5]', -1]], 'hecke_eigenvalues': [2, -1, 2, 2, -4, -2, 0, 0, 6, 1, 0, -6, 2, 8, -4, 0, -12, 0, 0, 18, -12, -10, -10, -10, 12, 0, -6, -6, 14, -4, -16, -4, -16, -4, 12, -18, 12, 14, 2, 2, 0, 6, 6, 14, -4, -4, -28, 26, 8, -12, 0, 6, 24, 12, 12, -18, 30, 18, -6, -6, 6, -4, -28, -22, 26, -16, 2, -10, 26, -28, 2, -4, -10, 12, 6, 0, 26, 2, 38, 2, 8, 20, -30, -6, 30, -18, -12, -24, -4, 20, -34, 18, 24, 30, 6, 0, 0, 8, 26, -28, -12, -36, -6, -4, -10, -28, 12, -30, 6, -16, -16, -16, 32, -10, 32, 36, 24, 36, 32, -46, 38, -42, -30, 30, 8, -16, 14, 6, -24, 36, -16, 38, 2, -10, 26, -16, -6, 36, 6, 20, 20, -16, 48, 48, 36, 0, -24, 48, -10, 14, -34, -18, 42, -30, 32, -16, 20, -12, 48, 30, -10, -34, -22, -12, 48, -42, 8, 8, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-328.1-a'}
43. label: 3.3.49.1-328.1-b
    {'AL_eigenvalues': [['[8, 2, 2]', -1], ['[41, 41, w^2 - w - 5]', 1]], 'hecke_eigenvalues': ['e', 1, '-2*e + 2', 0, 0, '2*e - 2', '-2*e + 4', '2*e', '-e - 4', -1, '-e - 6', '-2*e + 2', 2, 'e - 6', '-2*e + 4', 2, '-2*e + 4', '2*e', 'e + 6', -14, 0, '2*e - 2', '-2*e + 2', '-2*e + 2', '-3*e - 2', '3*e + 6', '2*e', '6*e - 6', '-e - 4', '2*e', '4*e - 2', '4*e - 4', '6*e - 6', '-2*e - 12', '-2*e + 16', '5*e - 12', '-2*e - 12', '-3*e - 4', '-7*e', '-7*e', 16, '-7*e + 16', -12, '8*e - 6', '-4*e - 8', '-4*e + 20', 0, '-3*e - 4', '8*e - 8', '-2*e + 4', '4*e + 12', '-3*e + 12', '6*e - 6', '6*e - 6', '4*e - 4', '-4*e + 6', '8*e - 6', '8*e - 6', '4*e + 10', 'e - 8', '-10*e + 10', '-2*e + 16', '-5*e - 2', 14, '8*e - 6', '-3*e - 2', '-6*e + 22', '3*e + 4', '4*e - 18', '2*e - 16', 2, '-6*e - 6', '12*e - 10', 0, '-6*e + 6', '3*e - 10', '-7*e - 12', -26, 2, '-6*e - 8', 'e - 22', '5*e + 2', '2*e + 14', '-2*e - 10', '2*e + 28', '-8*e + 22', '4*e - 4', '-4*e + 32', '-8*e + 24', '8*e + 8', '-3*e - 16', '-6*e + 22', '-8*e + 24', '10*e - 22', '-5*e + 12', 0, '4*e - 32', '2*e + 14', '6*e + 10', '-4*e + 20', '2*e + 12', '2*e + 12', '6*e - 6', '-e - 34', '-4*e - 10', '-13*e + 6', '3*e + 6', '-2*e - 10', 30, '-8*e + 10', '-4*e - 8', 16, '7*e - 14', '8*e - 22', '3*e - 38', '9*e - 14', '-8*e + 24', '-6*e + 36', '-15*e + 10', '-6*e + 22', '8*e - 34', '-3*e + 12', '4*e - 2', '-3*e + 12', '4*e + 10', '-4*e + 18', '7*e - 28', '-9*e + 4', '-12*e', '-2*e - 24', '4*e + 12', '10*e + 6', '-12*e + 28', '-8*e + 22', '-8*e + 22', '-7*e + 42', -28, '-4*e + 32', '11*e - 4', '2*e - 2', '3*e + 18', '9*e - 2', -40, '-e - 18', '-4*e + 48', '-4*e + 32', '-4*e + 32', '8*e + 20', '8*e + 6', '4*e + 10', '2*e - 2', '-2*e + 30', '6*e - 20', '-16*e + 2', '6*e + 10', '-13*e + 22', '-6*e - 20', '2*e - 28', '-20*e + 22', 'e + 8', '6*e - 34', '2*e + 26', '4*e - 46', '-3*e - 30', '-7*e + 2', '18*e - 16', 30, -40, 16], 'hecke_polynomial': 'x^2 - 2*x - 6', 'label': '3.3.49.1-328.1-b'}
44. label: 3.3.49.1-337.1-a
    {'AL_eigenvalues': [['[337, 337, 7*w^2 - 3*w - 10]', -1]], 'hecke_eigenvalues': [0, 'e', '3/4*e^2 + 1/2*e - 21/4', '-1/2*e^2 + 13/2', '-1/4*e^2 - 3/2*e + 7/4', '1/2*e^2 + e - 3/2', '-1/2*e^2 - e + 7/2', '1/2*e^2 - e - 11/2', '-2*e', '1/4*e^2 + 3/2*e - 7/4', 2, '-e^2 + 11', '-1/2*e^2 - e + 3/2', '-e - 7', '-3/4*e^2 - 1/2*e + 29/4', '1/2*e^2 + e + 5/2', 0, '3/4*e^2 + 5/2*e - 5/4', '-2*e - 2', 'e^2 - e - 16', '-1/4*e^2 + 5/2*e + 31/4', 'e^2 + 4*e - 11', '-3/2*e^2 + e + 29/2', '1/2*e^2 - e - 19/2', '3/4*e^2 + 1/2*e - 69/4', '3/2*e^2 - e - 37/2', '-3/2*e^2 + e + 13/2', '-5/2*e^2 - e + 43/2', 'e - 13', '1/2*e^2 + 3*e - 15/2', '3/2*e^2 + e - 29/2', 'e^2 + 4*e - 1', '2*e^2 + 2*e - 16', '-5/2*e^2 - e + 39/2', '-e^2 - 6*e + 15', '1/4*e^2 - 9/2*e - 23/4', '-3/4*e^2 + 7/2*e + 61/4', 'e^2 - 2*e - 9', 'e^2 + 4*e - 7', '1/2*e^2 + 4*e - 13/2', '3/2*e^2 + 3*e - 21/2', '9/4*e^2 + 3/2*e - 63/4', '-7/4*e^2 - 5/2*e + 49/4', '-3*e^2 - 2*e + 25', 'e^2 + 7*e - 8', '3/4*e^2 - 3/2*e - 37/4', '-e^2 - 4*e + 13', '-3/2*e^2 - 3*e + 49/2', '-e^2 - 5*e + 2', '-e^2 - 4*e + 13', '-1/4*e^2 - 11/2*e + 15/4', '1/4*e^2 - 1/2*e - 39/4', '-6*e - 6', '1/4*e^2 + 7/2*e - 71/4', '3/4*e^2 - 7/2*e - 77/4', '5/2*e^2 - 3*e - 51/2', '-2*e^2 - 4*e + 24', '-3/2*e^2 + 3*e + 25/2', '-3/2*e^2 - 4*e + 39/2', '5/2*e^2 + 5*e - 27/2', 'e^2 + 2*e - 13', '2*e^2 + 2*e - 8', '-7/4*e^2 - 17/2*e + 81/4', 'e^2 + 4*e - 17', 1, '-1/2*e^2 + 5*e + 3/2', '-9/4*e^2 - 3/2*e + 15/4', '3/2*e^2 + 3*e - 5/2', '5/2*e^2 + 4*e - 33/2', 'e^2 - 6*e - 5', '-5/4*e^2 + 1/2*e + 107/4', 12, '-5/4*e^2 + 13/2*e + 99/4', '-3/2*e^2 + e + 33/2', '-1/2*e^2 - e + 51/2', '-3*e^2 + 8*e + 39', '-1/2*e^2 + e - 13/2', '-17/4*e^2 - 3/2*e + 87/4', '2*e^2 - 4*e - 40', '4*e - 18', '1/2*e^2 + e + 25/2', '-9/4*e^2 - 3/2*e + 127/4', 'e^2 + 8*e - 15', '3*e^2 + 2*e - 27', '1/4*e^2 - 5/2*e - 55/4', '-1/4*e^2 + 5/2*e - 25/4', '1/4*e^2 - 5/2*e - 23/4', '5/2*e^2 + 3*e - 23/2', '2*e^2 - 4*e - 14', '-1/4*e^2 + 9/2*e + 23/4', 'e^2 - 3*e - 26', '-3/4*e^2 + 7/2*e - 19/4', '-11/4*e^2 - 5/2*e + 29/4', '-1/4*e^2 + 1/2*e - 9/4', 'e^2 - 5*e + 8', '-3/2*e^2 - 5*e + 53/2', 'e^2 + 7', '-17/4*e^2 + 1/2*e + 103/4', '-5/4*e^2 + 17/2*e + 107/4', '-7/4*e^2 + 11/2*e + 73/4', '5/2*e^2 - e - 19/2', 'e^2 + 2*e - 7', '-e^2 - 5*e + 14', '-3/2*e^2 + 5*e + 53/2', '-11/4*e^2 + 7/2*e + 141/4', '13/4*e^2 + 7/2*e - 43/4', '17/4*e^2 + 3/2*e - 87/4', '-3/2*e^2 - 3*e + 37/2', '1/2*e^2 + 6*e + 7/2', '2*e^2 + 2*e - 20', '-1/2*e^2 - 7*e + 7/2', '9/4*e^2 - 17/2*e - 79/4', '11/4*e^2 + 21/2*e - 157/4', 'e^2 + 4*e - 17', '3*e^2 - 6*e - 49', '2*e^2 + 7*e - 25', 'e^2 - 3*e - 6', '-7/4*e^2 + 3/2*e + 121/4', '-5/4*e^2 - 7/2*e + 51/4', '-e^2 + 3', '2*e^2 + 2*e - 18', '5/2*e^2 - 2*e - 5/2', '-3*e^2 - 2*e - 5', '-7/2*e^2 - 8*e + 67/2', '-9/4*e^2 - 11/2*e + 23/4', '-3/2*e^2 - e + 93/2', '-2*e^2 - 2*e + 28', '4*e^2 + 2*e - 38', '3/2*e^2 + 7*e + 23/2', '9/4*e^2 - 1/2*e - 79/4', '9/2*e^2 - 2*e - 89/2', '7/4*e^2 + 21/2*e - 49/4', '-1/2*e^2 + 3*e + 79/2', 'e^2 + 4*e + 5', '-e^2 - 2*e + 37', '5/2*e^2 - 6*e - 21/2', '-4*e^2 + 6*e + 44', '-2*e^2 + 8', '-5/2*e^2 - e + 59/2', -36, '6*e^2 + 2*e - 52', '5/4*e^2 - 21/2*e - 115/4', '2*e + 34', '-5*e^2 - 12*e + 53', '2*e^2 + 8*e - 14', '3*e^2 - 3*e - 20', '25/4*e^2 + 11/2*e - 135/4', '-2*e^2 + 4*e + 30', '-3*e^2 + 2*e + 39', '1/4*e^2 + 3/2*e + 25/4', '-9/4*e^2 + 5/2*e + 79/4', '-3/2*e^2 - 2*e + 75/2', '3/2*e^2 + 2*e - 35/2', '-9/2*e^2 - 5*e + 111/2', '-3*e^2 - 13*e + 32', '7/2*e^2 + e - 73/2', 'e^2 - 9*e - 8', '-6*e - 2', '-e^2 - 8*e + 25', '-4*e^2 - 4*e + 8', '5*e^2 + 6*e - 33', 'e^2 - 10*e - 13', '-3*e^2 + 6*e + 31', '-1/2*e^2 - 7*e + 59/2', '8*e + 10', '-9/4*e^2 - 11/2*e + 127/4', '2*e^2 + 8*e + 6', '-e^2 + 4*e - 27', '-9/2*e^2 - 13*e + 91/2'], 'hecke_polynomial': 'x^3 + x^2 - 13*x - 5', 'label': '3.3.49.1-337.1-a'}
45. label: 3.3.49.1-343.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1]], 'hecke_eigenvalues': [0, 2, 0, 0, 0, 0, 'e', '-1/7*e^2 - 3/7*e + 73/7', '1/7*e^2 - 4/7*e - 80/7', 0, 0, 0, 'e', '1/7*e^2 - 4/7*e - 80/7', '-1/7*e^2 - 3/7*e + 73/7', '1/7*e^2 - 11/7*e - 115/7', '1/7*e^2 + 10/7*e - 108/7', '-2/7*e^2 + 1/7*e + 118/7', 0, 0, 0, 0, 0, 0, '-1/7*e^2 - 10/7*e + 136/7', '-1/7*e^2 + 11/7*e + 143/7', '2/7*e^2 - 1/7*e - 90/7', 0, '1/7*e^2 + 3/7*e - 143/7', '-e - 10', '-1/7*e^2 + 4/7*e + 10/7', 0, 0, 0, 0, 0, 0, 0, 0, 0, '3/7*e^2 + 2/7*e - 198/7', '-1/7*e^2 - 17/7*e + 101/7', '-2/7*e^2 + 15/7*e + 188/7', '1/7*e^2 + 3/7*e + 53/7', '-e + 18', '-1/7*e^2 + 4/7*e + 206/7', 0, 0, 0, '1/7*e^2 - 11/7*e - 213/7', '1/7*e^2 + 10/7*e - 206/7', '-2/7*e^2 + 1/7*e + 20/7', 0, 0, 0, '1/7*e^2 - 11/7*e - 213/7', '1/7*e^2 + 10/7*e - 206/7', '-2/7*e^2 + 1/7*e + 20/7', 0, 0, 0, 0, 0, 0, '-3/7*e^2 + 5/7*e + 261/7', '1/7*e^2 - 18/7*e - 52/7', '2/7*e^2 + 13/7*e - 118/7', 0, 0, 0, '3/7*e^2 + 2/7*e - 198/7', '-1/7*e^2 - 17/7*e + 101/7', '-2/7*e^2 + 15/7*e + 188/7', 0, 0, 0, '-2/7*e^2 + 15/7*e + 286/7', '3/7*e^2 + 2/7*e - 100/7', '-1/7*e^2 - 17/7*e + 199/7', 0, 0, 0, '-1/7*e^2 + 18/7*e + 178/7', '-2/7*e^2 - 13/7*e + 244/7', '3/7*e^2 - 5/7*e - 135/7', 0, 0, 0, '3/7*e^2 - 5/7*e - 233/7', '-2/7*e^2 - 13/7*e + 146/7', '-1/7*e^2 + 18/7*e + 80/7', '-1/7*e^2 - 10/7*e + 234/7', '-1/7*e^2 + 11/7*e + 241/7', '2/7*e^2 - 1/7*e + 8/7', 0, 0, 0, '-5/7*e^2 - 1/7*e + 281/7', '3/7*e^2 - 26/7*e - 338/7', '2/7*e^2 + 27/7*e - 244/7', 0, 0, 0, 0, 0, 0, '-2/7*e^2 - 27/7*e + 272/7', '5/7*e^2 + 1/7*e - 253/7', '-3/7*e^2 + 26/7*e + 366/7', '-4*e - 4', '4/7*e^2 + 12/7*e - 320/7', '-4/7*e^2 + 16/7*e + 292/7', 0, 0, 0, '-1/7*e^2 + 11/7*e + 143/7', '-1/7*e^2 - 10/7*e + 136/7', '2/7*e^2 - 1/7*e - 90/7', '-4/7*e^2 - 12/7*e + 250/7', '4*e - 6', '4/7*e^2 - 16/7*e - 362/7', '-1/7*e^2 - 3/7*e + 367/7', 'e + 42', '1/7*e^2 - 4/7*e + 214/7', 0, 0, 0, '5/7*e^2 - 13/7*e - 323/7', '-4/7*e^2 - 19/7*e + 362/7', '-1/7*e^2 + 32/7*e + 150/7', '-3/7*e^2 - 30/7*e + 282/7', '-3/7*e^2 + 33/7*e + 303/7', '6/7*e^2 - 3/7*e - 396/7', 0, 0, 0, 0, 0, 0, 0, 0, 0, '-4/7*e^2 - 19/7*e + 264/7', '-1/7*e^2 + 32/7*e + 52/7', '5/7*e^2 - 13/7*e - 421/7', 0, 0, 0, 0, 0, 0, 0, 0, 0, '3/7*e^2 + 9/7*e - 261/7', '-3/7*e^2 + 12/7*e + 198/7', '-3*e - 6', '1/7*e^2 + 24/7*e - 136/7', '3/7*e^2 - 19/7*e - 303/7', '-4/7*e^2 - 5/7*e + 236/7', 0, 0, 0, '4/7*e^2 + 12/7*e - 418/7', '-4*e - 18', '-4/7*e^2 + 16/7*e + 194/7', '1/7*e^2 + 17/7*e - 367/7', '-3/7*e^2 - 2/7*e - 68/7', '2/7*e^2 - 15/7*e - 454/7'], 'hecke_polynomial': 'x^3 + x^2 - 114*x - 127', 'label': '3.3.49.1-343.1-a'}
46. label: 3.3.49.1-344.1-a
    {'AL_eigenvalues': [['[8, 2, 2]', 1], ['[43, 43, w^2 + 2*w - 5]', -1]], 'hecke_eigenvalues': ['e', -1, '1/2*e + 1', '-e + 4', '-1/2*e', '-1/2*e - 4', '-3/2*e - 3', '1/2*e - 1', '-3/2*e + 6', 6, 'e - 2', '-5/2*e - 1', 1, '3/2*e - 4', '-5/2*e + 1', '-3/2*e - 6', 'e - 8', '-1/2*e - 5', 12, '-1/2*e - 2', '9/2*e - 6', -10, 'e', '3/2*e + 5', '-1/2*e + 10', -12, '7/2*e - 4', '9/2*e', '7/2*e - 8', '-1/2*e - 3', '3/2*e + 8', '7/2*e - 5', '5/2*e + 3', -4, '3/2*e - 6', '-3/2*e + 18', '-9/2*e - 3', '-5/2*e + 13', '-2*e + 18', '-4*e - 2', '1/2*e - 22', '4*e - 14', '3*e - 6', '-9/2*e + 5', -4, '2*e + 16', 8, '-1/2*e + 3', '-2*e - 12', '-7/2*e + 7', '3*e', -12, 'e - 8', '-7/2*e + 1', 0, '-7*e + 14', '15/2*e - 12', '-4*e + 8', '5/2*e + 4', '11/2*e - 11', '-3*e - 6', '-7/2*e + 21', '4*e + 6', '9/2*e + 2', -4, '-2*e + 30', '6*e + 2', '-3*e - 4', '-7/2*e + 18', '-3*e - 4', '-2*e - 18', '3/2*e - 1', '-3/2*e + 5', '-9/2*e + 15', '3*e - 18', '-4*e + 20', 8, '-2*e - 12', '5/2*e + 6', '11/2*e - 15', '9/2*e + 11', '4*e - 12', '-7*e + 20', '4*e + 4', '-5*e - 14', '-5*e + 16', 12, '-3*e + 18', '-3*e + 20', '13/2*e - 20', '-5/2*e - 29', '-2*e + 22', '11/2*e - 29', '2*e - 10', '5/2*e - 11', 0, '-4*e + 14', '-7*e - 8', '-2*e - 12', '19/2*e - 5', '10*e - 14', '-6*e - 12', '2*e - 22', '11*e - 8', '3/2*e - 4', '-5/2*e - 26', '-4*e + 2', 'e + 34', '-17/2*e - 7', '3*e + 14', '-3*e + 8', '-3*e + 8', '-7/2*e + 15', '2*e + 34', '-4*e - 8', '-3/2*e - 3', '3*e + 6', '-3/2*e - 30', '13/2*e + 10', '-4*e - 14', '-4*e - 14', '23/2*e - 11', '3*e - 6', '-3/2*e + 3', '2*e - 8', '-15/2*e - 13', '2*e + 10', '-6*e', '6*e + 12', '5*e - 16', '5*e - 2', 'e + 12', '8*e - 26', '6*e + 20', 14, 14, '4*e - 26', '-7/2*e - 2', '-e + 50', '-e - 8', '-2*e + 36', '-17/2*e - 2', '13/2*e + 11', '7*e - 20', '3/2*e + 6', '9/2*e + 3', '5*e - 10', '-3/2*e - 12', '-2*e + 42', '5/2*e - 21', '-6*e + 2', '-7/2*e - 26', '7*e - 2', '-10*e - 10', '25/2*e - 26', '-9/2*e - 34', 'e - 6', 12, '5*e + 26', '-2*e - 26', 'e + 12', '-11/2*e + 37', '-23/2*e + 13', '2*e + 38', '-3/2*e - 33', '1/2*e + 23', '3/2*e - 34', '7/2*e + 4', '-9/2*e - 4'], 'hecke_polynomial': 'x^2 - 2*x - 12', 'label': '3.3.49.1-344.1-a'}
47. label: 3.3.49.1-344.1-b
    {'AL_eigenvalues': [['[8, 2, 2]', -1], ['[43, 43, w^2 + 2*w - 5]', 1]], 'hecke_eigenvalues': ['e', 1, '-5/2*e + 1', '-e', '3/2*e + 2', '1/2*e + 2', '-7/2*e + 3', '1/2*e - 7', '3/2*e - 4', -2, '-e + 6', '9/2*e - 5', -1, '-5/2*e - 2', '3/2*e - 1', '-5/2*e + 4', '-e - 8', '-3/2*e + 7', -4, '-3/2*e + 8', '-3/2*e + 8', '2*e - 6', '-3*e + 12', '11/2*e - 1', '5/2*e - 16', '-6*e + 8', '-1/2*e - 14', '-13/2*e + 2', '3/2*e + 6', '9/2*e - 7', '-7/2*e + 2', '11/2*e - 3', '-5/2*e - 5', '2*e - 8', '11/2*e - 8', '-3/2*e + 4', '-1/2*e + 7', '5/2*e - 3', 6, '-4*e - 6', '9/2*e + 8', '4*e - 10', '9*e - 6', '-15/2*e - 3', '2*e - 24', '6*e - 12', '4*e + 16', '-13/2*e + 1', 4, '1/2*e + 5', '-3*e', '-10*e + 12', 'e + 24', '11/2*e - 23', '-8*e + 8', '9*e - 10', '9/2*e - 18', -4, '-1/2*e - 10', '5/2*e + 21', '-3*e + 10', '13/2*e + 3', '10*e - 14', '11/2*e', '6*e + 4', '-2*e + 2', '4*e - 2', 'e + 12', '9/2*e - 16', '-3*e', '14*e - 18', '-23/2*e - 1', '-17/2*e - 3', '-21/2*e + 9', '-3*e - 18', '4*e - 8', 4, '-8*e + 24', '-11/2*e + 4', '-5/2*e + 3', '7/2*e - 1', '-12*e + 24', '-5*e - 16', '-2*e + 4', '-e + 18', '-11*e', '8*e - 20', '-9*e + 6', '-3*e + 4', '-9/2*e - 6', '-25/2*e + 25', '6*e - 18', '1/2*e - 29', '12*e - 22', '1/2*e - 17', '-4*e + 8', '-4*e + 30', '-e + 28', '2*e + 4', '1/2*e + 27', '-2*e - 34', '-2*e - 12', '2*e + 22', '-e + 16', '-13/2*e - 6', '-7/2*e + 36', '-2*e + 18', '13*e - 14', '17/2*e - 11', '-11*e - 6', '-11*e + 16', '-e + 24', '-15/2*e + 33', '6*e + 2', '-16*e + 24', '-7/2*e - 5', '15*e - 10', '1/2*e + 40', '-9/2*e + 28', '12*e + 6', '-6*e + 18', '9/2*e - 27', 'e - 10', '11/2*e - 13', '6*e - 24', '7/2*e + 7', '-8*e + 22', '6*e - 8', -4, '-3*e + 20', '-7*e + 22', '-5*e + 28', '-4*e - 2', '-10*e + 36', '-4*e - 34', '-4*e + 10', '4*e - 26', '1/2*e - 20', '-3*e - 14', '-7*e + 32', '-6*e + 24', '11/2*e - 24', '3/2*e + 35', '-7*e + 4', '31/2*e', '-9/2*e + 7', 'e + 18', '-23/2*e + 30', 18, '-11/2*e + 29', '-18*e + 30', '13/2*e + 16', '9*e + 18', '10*e + 10', '11/2*e + 4', '19/2*e + 16', '-e - 10', '-14*e + 12', '11*e + 10', '-4*e - 2', '-5*e + 32', '-23/2*e + 7', '21/2*e + 7', '-12*e - 6', '-13/2*e + 27', '33/2*e - 3', '13/2*e + 36', '3/2*e + 10', '21/2*e - 18'], 'hecke_polynomial': 'x^2 - 2*x - 4', 'label': '3.3.49.1-344.1-b'}
48. label: 3.3.49.1-349.1-a
    {'AL_eigenvalues': [['[349, 349, 5*w^2 + w - 15]', -1]], 'hecke_eigenvalues': ['e', '-e^3 + 4*e^2 + 2*e - 12', 'e^2 - 2*e - 5', '-2*e^2 + 2*e + 10', 'e^3 - 4*e^2 - 3*e + 14', '2*e^3 - 6*e^2 - 6*e + 16', '2*e^2 - 4*e - 8', '-2*e^3 + 6*e^2 + 6*e - 16', '-e^2 + 4*e + 4', '4*e^3 - 12*e^2 - 14*e + 34', '2*e^3 - 8*e^2 - 4*e + 26', '-e^3 + 4*e^2 + 3*e - 16', '2*e^2 - 2*e - 10', '-2*e + 2', '2*e^3 - 7*e^2 - 4*e + 22', '2*e^3 - 6*e^2 - 8*e + 18', '2*e^3 - 10*e^2 + 36', '-4*e^3 + 15*e^2 + 10*e - 51', '-4*e^3 + 10*e^2 + 16*e - 28', '-2*e^3 + 6*e^2 + 5*e - 12', 'e^2 - 4*e - 6', '-4*e^3 + 16*e^2 + 9*e - 52', '-4*e^3 + 10*e^2 + 18*e - 30', '-2*e^3 + 5*e^2 + 8*e - 16', '-2*e^2 + 10', 'e^3 - 8*e^2 + 3*e + 32', '2*e^3 - 10*e^2 - 2*e + 36', '-2*e^3 + 9*e^2 - 35', 'e^3 - 4*e^2 - 3*e + 12', '-4*e^3 + 15*e^2 + 12*e - 40', '2*e^3 - 11*e^2 - 4*e + 43', '4*e - 8', '4*e^3 - 14*e^2 - 16*e + 44', '2*e^3 - 4*e^2 - 6*e', '3*e^3 - 16*e^2 + e + 54', '-6*e^3 + 26*e^2 + 12*e - 86', '-e^3 + 8*e^2 - 3*e - 40', '-2*e^2 + 8*e + 14', '-4*e^3 + 17*e^2 + 2*e - 63', '4*e^2 - 6*e - 26', '2*e^3 - 16*e - 2', '-2*e^2 + 4*e + 4', '-2*e^2 + 2*e + 20', '-2*e^3 + 14*e^2 - 66', '2*e^3 - 11*e^2 + 37', '-2*e^3 + 10*e^2 + 6*e - 32', '-4*e^3 + 12*e^2 + 10*e - 26', '8*e - 14', '4*e^3 - 12*e^2 - 20*e + 32', '4*e^3 - 18*e^2 - 3*e + 64', '8*e^3 - 26*e^2 - 23*e + 80', '6*e^3 - 22*e^2 - 20*e + 70', '2*e + 4', '-2*e^3 + 10*e^2 + 4*e - 34', '4*e^3 - 8*e^2 - 18*e + 20', '-2*e^3 + 13*e^2 - 4*e - 45', '-4*e^3 + 14*e^2 + 12*e - 54', '-4*e^3 + 14*e^2 + 17*e - 36', '2*e^3 - 14*e^2 + 6*e + 60', '6*e^3 - 22*e^2 - 20*e + 66', '2*e^3 - 9*e^2 - 8*e + 26', '2*e^3 - 7*e^2 - 8*e + 28', '-2*e^3 + e^2 + 8*e + 15', '-4*e^3 + 18*e^2 + 8*e - 78', '-2*e^3 + 2*e^2 + 15*e + 12', '-6*e^2 + 7*e + 28', '2*e^3 - e^2 - 8*e - 7', 1, '-4*e^3 + 14*e^2 + 20*e - 50', '6*e^2 - 8*e - 28', '-7*e^3 + 28*e^2 + 15*e - 94', 'e^3 + 4*e^2 - 17*e - 20', '-6*e^2 + 5*e + 28', '-2*e^3 + 5*e^2 + 16*e - 19', '2*e^2 + 2', '-4*e^3 + 11*e^2 + 12*e - 14', '10*e^3 - 29*e^2 - 36*e + 85', '4*e^3 - 12*e^2 - 17*e + 32', '-8*e^3 + 36*e^2 + 16*e - 118', '-2*e^3 + 7*e^2 + 8*e - 11', '-2*e^3 + 6*e^2 + 8*e - 34', '10*e^2 - 13*e - 44', '6*e^3 - 20*e^2 - 23*e + 60', '4*e^3 - 16*e^2 + 2*e + 48', '8*e^3 - 20*e^2 - 34*e + 52', '-4*e^3 + 14*e^2 + 20*e - 54', '8*e^3 - 40*e^2 - 8*e + 150', '-4*e^3 + 20*e^2 - 4*e - 72', '2*e^3 - 16*e^2 + 6*e + 68', '2*e^3 - 14*e^2 - 2*e + 62', '-2*e^3 + 4*e^2 + 7*e + 16', '5*e^3 - 20*e^2 - 13*e + 70', '-5*e^3 + 8*e^2 + 21*e - 6', '4*e^3 - 6*e^2 - 16*e', '6*e^3 - 20*e^2 - 25*e + 72', '6*e^3 - 20*e^2 - 18*e + 74', '-8*e^3 + 28*e^2 + 26*e - 68', '-4*e^3 + 6*e^2 + 26*e - 26', '2*e^3 - 8*e^2 - 6*e + 26', '-2*e^3 + 2*e^2 + 12*e + 14', '-12*e^3 + 48*e^2 + 28*e - 160', '-4*e^3 + 17*e^2 + 6*e - 37', '2*e^2 - 6*e - 14', '6*e^3 - 16*e^2 - 19*e + 40', '4*e^3 - 8*e^2 - 8*e', '-4*e^3 + 22*e^2 - 8*e - 86', '-2*e^3 + 8*e^2 + 14*e - 26', '6*e^3 - 29*e^2 - 8*e + 104', '-6*e^3 + 10*e^2 + 28*e - 16', '8*e^3 - 28*e^2 - 24*e + 86', '-3*e^3 + 20*e^2 - 3*e - 74', '6*e^3 - 23*e^2 - 8*e + 82', '-14*e^3 + 44*e^2 + 46*e - 128', '-4*e^2 + 16*e + 18', '-3*e^2 + 6*e + 5', '-2*e^3 + 5*e^2 + 12*e + 21', '-11*e^3 + 32*e^2 + 41*e - 86', '6*e^3 - 13*e^2 - 20*e + 1', '4*e^3 - 18*e^2 + 2*e + 52', '3*e^3 - 12*e^2 - 11*e + 52', '-12*e^3 + 36*e^2 + 40*e - 98', '-2*e^3 - e^2 + 16*e + 38', '4*e^2 - 4*e + 14', '-2*e^2 + 18', '-8*e^3 + 28*e^2 + 12*e - 80', '-6*e^3 + 24*e^2 + 16*e - 68', '2*e^3 + 2*e^2 - 16*e - 6', '-10*e^3 + 30*e^2 + 25*e - 84', '8*e^3 - 30*e^2 - 18*e + 104', 'e^2 - 6*e + 3', '11*e^3 - 40*e^2 - 31*e + 138', '-2*e^3 + 8*e^2 + 4*e - 38', '8*e^3 - 22*e^2 - 37*e + 48', '2*e^3 + 4*e^2 - 18*e - 18', '-10*e^3 + 37*e^2 + 28*e - 124', '-9*e^3 + 28*e^2 + 29*e - 68', '-10*e^2 + 7*e + 48', '-3*e^3 + 12*e^2 - e - 50', '-8*e^3 + 28*e^2 + 30*e - 96', '-2*e^3 + 16*e + 26', '-2*e^3 + 6*e^2 + 8*e - 4', '4*e^3 - 12*e^2 - 4*e + 28', '-4*e^3 + 18*e^2 + 14*e - 70', '6*e^3 - 18*e^2 - 20*e + 54', '4*e^3 - 4*e^2 - 36*e + 20', '2*e^3 - 15*e^2 + 4*e + 48', '-8*e^3 + 38*e^2 + 4*e - 138', '12*e^3 - 40*e^2 - 46*e + 118', '-4*e^3 + 18*e^2 - 4*e - 74', '-4*e^3 + 2*e^2 + 28*e - 2', '2*e^2 + 2*e + 14', '-4*e^3 + 9*e^2 + 20*e - 10', '16*e^3 - 62*e^2 - 38*e + 210', '12*e^3 - 33*e^2 - 38*e + 83', '-6*e^3 + 20*e^2 + 25*e - 76', '-8*e^3 + 27*e^2 + 20*e - 98', '2*e^3 - 14*e^2 - 4*e + 92', '-6*e^3 + 22*e^2 + 6*e - 82', '8*e^3 - 14*e^2 - 46*e + 52', '-6*e^3 + 20*e^2 + 25*e - 48', '12*e^3 - 44*e^2 - 40*e + 134', '-6*e^3 + 12*e^2 + 28*e + 2', '4*e^3 - 13*e^2 - 12*e + 50', '-8*e^3 + 32*e^2 + 22*e - 132', '2*e^3 - 19*e + 24', '2*e^3 - 16*e^2 + 18*e + 56', '-2*e^3 + 10*e^2 - 2*e - 24', '3*e^3 - 24*e^2 + 7*e + 100', '4*e + 8'], 'hecke_polynomial': 'x^4 - 2*x^3 - 9*x^2 + 8*x + 21', 'label': '3.3.49.1-349.1-a'}
49. label: 3.3.49.1-351.1-a
    {'AL_eigenvalues': [['[13, 13, -w^2 - w + 3]', 1], ['[27, 3, 3]', -1]], 'hecke_eigenvalues': [4, -1, -1, 4, -2, 1, -8, -2, -2, 2, -4, -10, -4, 8, -10, 6, 0, 6, -6, 12, 6, 0, 0, 6, 16, -14, -2, -2, -12, 6, 12, 6, 0, 12, 16, -8, 16, -14, 10, -14, -14, 22, -20, 4, -14, -14, 4, 16, -8, -12, 12, 0, -20, 28, -20, 14, -22, 20, -22, -22, 14, 28, -26, 28, -26, -2, -2, 10, 10, -32, 12, -36, 0, 30, 12, -6, -22, -28, 32, 22, -14, -8, 30, -30, -18, 26, 2, 2, 10, -8, 40, -4, -28, -4, 36, 42, 42, 40, -32, -20, -8, -8, 28, -42, 18, 6, -18, -6, -36, 2, 32, 20, 44, -4, 2, -12, -36, -36, 28, -2, 34, -18, 42, 30, 32, -28, 32, 24, -12, 36, 8, -10, -34, -22, 2, 8, -38, 22, 22, 32, 14, -46, 12, 0, 42, 10, -14, 40, -10, 44, -10, 18, 30, -6, -52, 50, -46, -36, 30, 0, -42, -42, -54, -40, 8, -58, 4, 16, 34], 'hecke_polynomial': 'x', 'label': '3.3.49.1-351.1-a'}
50. label: 3.3.49.1-351.1-b
    {'AL_eigenvalues': [['[13, 13, -w^2 - w + 3]', -1], ['[27, 3, 3]', 1]], 'hecke_eigenvalues': [0, 1, 1, 2, -2, -1, 2, 6, -2, 2, -2, 10, 4, -12, -8, -12, 0, -4, 16, 4, 0, 14, 6, 2, 6, -6, -14, -2, 16, -20, -8, 0, -20, -4, 0, 0, 16, -10, -2, 14, 22, -2, -22, -4, -16, -8, -8, -24, 16, -16, 0, 16, -12, -12, 12, -22, 18, 22, -2, 22, 6, -12, -16, 12, 26, 26, -14, -2, 6, -14, 20, -12, -12, -40, -12, -24, -10, 18, 18, 2, 34, -2, 2, -6, 34, 30, -18, -34, 4, 16, -8, -20, 20, 20, 16, 12, -12, 12, 12, -28, -12, 36, 4, 34, -38, 18, -22, 34, -18, 12, 0, 16, -28, 44, 0, 4, 4, 36, 6, 26, 26, 14, 30, -2, 8, 16, -8, 24, 16, -48, 2, -2, 6, 2, 18, 22, -50, 22, 38, -20, -16, -32, -52, -12, 48, 12, -12, 0, 22, -30, 22, 18, 18, 18, -12, 8, 16, 56, 20, 40, -30, -14, 42, -34, -26, -6, -16, 48, 20], 'hecke_polynomial': 'x', 'label': '3.3.49.1-351.1-b'}
51. label: 3.3.49.1-351.1-c
    {'AL_eigenvalues': [['[13, 13, -w^2 - w + 3]', 1], ['[27, 3, 3]', -1]], 'hecke_eigenvalues': [0, 1, -1, -4, 6, 1, 4, -6, -6, 10, 0, 10, 0, 0, 10, -6, -16, -6, 6, -4, -14, -16, -16, 14, -20, -10, 10, 2, 0, 10, 20, 2, 12, 12, 16, -24, -24, 18, -22, 18, 6, 6, -24, 4, 14, -26, -4, -4, -24, -4, -4, -24, 12, 12, 12, 6, 6, -24, 18, -2, -2, 28, -22, -12, -2, -2, -2, 26, 26, 16, -12, 28, -12, 10, 20, 30, -22, 28, 8, 6, -14, 16, -38, -18, 2, 30, -10, 30, -2, 8, -32, 12, 12, -28, -12, -2, -2, 28, -12, -12, -24, -24, 36, 46, -14, -34, 34, -6, 24, -2, 8, 28, -4, -4, -34, -4, -4, 36, 4, 14, -46, -10, 30, -30, 32, 12, -8, -8, 12, 12, -32, 38, -2, -14, -14, 16, -18, 2, 22, -28, 2, 22, 20, 0, 30, 6, 6, 16, 30, -20, -10, 14, -46, 34, 12, 22, -18, 36, -54, 16, -10, -10, 10, -36, 44, -26, -36, 24, 14], 'hecke_polynomial': 'x', 'label': '3.3.49.1-351.1-c'}
52. label: 3.3.49.1-377.1-a
    {'AL_eigenvalues': [['[13, 13, -w^2 - w + 3]', -1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [-4, 3, 1, 2, 2, 4, 6, -1, -6, -6, -6, 6, -4, 8, -4, -12, 12, 12, 12, 0, -12, -10, -10, -10, 6, 6, 18, -18, -16, 8, -16, -4, -4, -4, 12, 24, -24, 14, -22, -10, -6, 6, -18, 20, -4, -4, 8, 8, -4, 24, 0, 0, -12, -12, 0, -30, 6, 6, -18, -30, 6, -16, -4, -4, -10, 14, 2, 14, 2, 26, -28, 20, 8, -12, -12, 24, 14, 2, 26, 14, -34, 14, -18, 30, 42, -30, -6, -30, -16, -4, 8, 0, 0, 12, 24, 36, -24, 8, -4, -4, -36, 36, -24, -10, 26, 26, 30, -6, -42, 32, -40, -16, 44, -4, 44, -12, -36, 36, -10, 26, 26, 30, 18, 18, 20, 32, 8, 36, 0, 48, -22, 2, 38, 14, -22, 14, -54, -30, 30, 20, -52, -28, -36, 12, 24, -36, 12, 24, -34, -22, 14, 42, 42, -54, 20, -4, -52, -48, 12, -12, -34, 14, 26, 6, 42, 42, -4, -40, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.1-a'}
53. label: 3.3.49.1-377.1-b
    {'AL_eigenvalues': [['[13, 13, -w^2 - w + 3]', 1], ['[29, 29, 2*w^2 + w - 4]', -1]], 'hecke_eigenvalues': [1, 'e', -1, '-e + 2', 'e - 2', '-2*e + 4', '-2*e - 1', 1, '-2*e + 6', '2*e - 4', '-2*e - 3', '-4*e + 8', 'e', 2, '2*e - 2', '-4*e + 10', '-2*e + 6', 'e - 14', '2*e - 11', '-2*e + 4', '6*e - 12', '2*e + 3', '-2*e + 4', '2*e - 4', 16, '4*e - 6', '4*e - 13', '2*e - 18', '-e + 4', '6*e - 10', 2, '5*e - 10', '2*e - 4', '2*e - 4', '-4*e + 1', 'e - 16', 'e - 16', '8*e - 16', '4*e - 8', '-6*e + 12', '4*e + 8', '-e + 4', '-4*e + 10', '-4*e + 3', '2*e + 12', '-2*e + 20', '-2*e + 4', 'e + 12', 0, '-6*e', '3*e - 4', 2, -14, 0, '-4*e + 8', '-4*e - 4', '-6*e', 'e + 14', 14, '-5*e + 24', '4*e - 8', '-10*e + 20', '-2*e + 25', 7, 2, '4*e - 20', 'e + 28', '3*e + 8', '6*e + 2', '4*e - 22', '5*e - 8', '-4*e + 10', '-4*e + 24', '-10*e + 13', 28, '7*e - 14', 23, '-6*e + 7', '-9*e + 6', '-2*e - 24', -14, '10*e - 34', 16, '4*e - 34', '8*e - 21', '4*e + 6', '2*e - 11', '-10*e + 6', '3*e - 18', '-6*e', '12*e - 29', 9, 9, '-13*e + 28', '8*e - 23', -28, '-10*e + 20', '-8*e + 32', '2*e - 16', '-13*e + 28', '3*e - 34', '-2*e - 10', '6*e + 2', '2*e + 24', '2*e - 18', -14, '-10*e + 29', '-4*e + 24', -12, '7*e - 26', '-6*e + 14', '-10*e + 8', '-6*e - 2', '8*e - 23', '2*e + 38', '-e + 46', '8*e - 28', -12, '2*e + 5', 30, '8*e - 7', '12*e - 15', '7*e - 12', '7*e + 16', '-e + 30', '-2*e + 11', '-12*e + 17', '2*e + 40', '-e + 18', '4*e - 48', '4*e - 6', '-8*e + 32', '-2*e - 22', '7*e - 14', '-3*e - 8', '4*e - 8', '2*e + 17', 'e - 30', '6*e - 12', '2*e - 4', '2*e - 4', '-10*e + 41', '-8*e + 11', '-4*e - 32', '6*e - 24', '14*e - 14', '6*e - 12', '-10*e - 8', '-18*e + 43', '-6*e + 33', 28, '4*e + 34', '-4*e - 20', '6*e - 12', 16, '6*e + 11', '-14*e + 16', -26, '-6*e', '18*e - 34', '-7*e', '4*e - 36', '-4*e + 15', '-4*e - 4', '-6*e + 35', '-7*e + 16', '10*e - 32', '10*e - 18', '6*e + 4'], 'hecke_polynomial': 'x^2 - 4*x - 3', 'label': '3.3.49.1-377.1-b'}
54. label: 3.3.49.1-377.1-c
    {'AL_eigenvalues': [['[13, 13, -w^2 - w + 3]', -1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [3, 'e', 1, '-e - 2', '-e - 2', '-2*e - 4', '2*e + 7', -1, '2*e + 2', '-2*e', '2*e + 9', -8, 'e', -6, '-2*e + 2', 2, '-2*e - 10', '3*e + 10', '-2*e - 3', '-2*e - 8', '2*e - 4', '2*e + 5', '-2*e - 4', '-2*e - 4', '4*e + 8', '-4*e - 10', '4*e + 13', '2*e + 18', '3*e - 4', '-2*e - 14', -2, 'e - 14', '-2*e - 12', '-2*e - 12', '4*e + 7', '-e - 8', '3*e + 16', '4*e + 16', -8, '2*e - 16', 8, '-3*e - 20', '-4*e - 6', '-4*e - 17', '2*e + 4', '2*e + 4', '2*e + 16', '-3*e - 4', 24, '-2*e - 12', '5*e + 20', '-8*e - 18', 2, '-8*e - 16', '4*e + 16', 12, '-6*e - 4', '3*e - 10', '4*e - 2', '-e + 8', '4*e + 8', '2*e + 20', '6*e - 1', 3, 18, 28, '-e + 12', 'e - 24', '6*e + 26', '4*e + 14', '-e + 24', '4*e - 6', '4*e + 24', '2*e + 17', '4*e + 4', 'e - 14', '-8*e - 11', '2*e - 11', '3*e + 10', '-2*e - 8', -6, '6*e + 10', '4*e - 16', '-4*e - 14', -35, '-8*e - 6', '-6*e - 9', '-2*e - 10', '7*e + 26', '2*e - 24', '4*e + 3', 7, 7, 'e - 12', -11, '-4*e + 20', '-6*e + 8', 8, '-2*e + 16', '5*e - 12', '-e + 2', '-2*e - 14', '6*e + 14', '-10*e - 8', '-2*e - 10', '-8*e - 6', '-10*e - 17', '-4*e - 36', 28, '-e - 14', '-6*e + 6', '-6*e + 16', '-2*e + 22', -11, '10*e + 14', '-5*e + 10', 20, -20, '2*e - 9', '-8*e - 34', 19, '-4*e - 7', '7*e + 4', '-9*e - 32', '5*e - 2', '-6*e - 13', '4*e + 17', '2*e + 16', '-e + 38', '4*e + 8', '-12*e - 14', '4*e + 32', '2*e - 10', '-3*e + 2', '-5*e', 0, '2*e - 25', '-11*e - 18', '10*e + 28', '6*e - 12', '6*e + 28', '6*e + 3', '8*e + 31', '-4*e + 24', '-2*e + 16', '2*e + 42', '6*e + 36', '2*e + 32', '10*e - 1', '-6*e + 3', '4*e - 12', '-4*e - 2', '4*e + 16', '-2*e - 20', '4*e + 8', '-2*e + 37', '6*e', 22, '-6*e + 16', '10*e + 42', 'e - 16', 28, '-12*e - 29', -36, '6*e - 25', '-e - 32', '10*e + 8', '-2*e - 34', '-2*e - 4'], 'hecke_polynomial': 'x^2 + 4*x - 7', 'label': '3.3.49.1-377.1-c'}
55. label: 3.3.49.1-377.2-a
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', -1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [2, 3, -4, -4, 1, 10, 0, -1, 0, -6, 0, -6, -4, -4, 8, 0, 0, 0, 6, 12, -12, -10, -16, 14, -6, 6, 0, -6, 20, 2, -4, -16, -4, -4, 12, -6, -12, 2, 26, -10, 0, 18, -18, 8, -4, -4, -16, -16, -28, -12, -12, 30, 18, -12, 12, -18, -18, 6, 18, 30, 6, 26, 20, -16, 8, 26, 8, -16, -10, 2, -4, -4, 20, 24, -36, -12, 20, -10, 14, -16, 38, 14, 18, 18, -12, 6, -30, -36, 26, 32, -16, -36, 42, 24, 24, 6, 0, 38, 2, -28, 0, -36, 48, -28, 26, 26, -6, -30, -18, 14, 20, 20, -16, -4, -4, 18, -48, -48, 26, -28, 26, 42, 18, -30, -16, -28, -40, -48, 24, 24, -34, -34, 26, -22, -22, 32, 18, 30, 12, -4, 44, 44, 12, -36, 12, -36, -12, -24, 20, -22, -4, -18, 18, 30, -4, -40, -46, -30, 24, 0, 26, 2, -58, -42, 18, -12, 50, 8, -4], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.2-a'}
56. label: 3.3.49.1-377.2-b
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', -1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [-2, -1, 4, 4, 1, -2, 0, -1, 0, 2, -8, 2, 4, 4, 4, -8, -8, 12, -6, 4, 4, -2, 8, -2, -6, 14, -16, -14, 8, -2, 8, 0, 0, 0, -12, -2, -12, 2, 2, -18, 8, -22, -2, -28, 12, 12, -16, 4, 4, -20, 20, -30, -18, 12, 12, 22, 22, -18, -6, -26, -26, -2, -12, -12, 8, 18, -32, 0, -10, -30, 20, -20, 20, 0, 40, 0, 12, 22, 22, 24, 14, 14, 10, 10, 20, -18, 2, 12, 14, 24, -16, 12, 22, -8, -16, -6, 24, 18, -42, 28, -32, -12, 28, -28, -38, -38, -22, 18, -2, 2, 32, -8, 4, 4, -36, 30, 20, 20, 34, 44, -46, 2, 42, 2, 28, 28, 48, -36, -16, 4, -2, -2, -22, -30, 10, 0, 18, -42, -12, 12, 52, -8, 28, 28, 28, -20, 0, 20, 4, -6, 44, -18, 2, -18, 4, 4, 54, 22, 32, -8, -22, 18, 38, 14, 34, -36, 38, -32, 48], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.2-b'}
57. label: 3.3.49.1-377.2-c
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', 1], ['[29, 29, 2*w^2 + w - 4]', 1]], 'hecke_eigenvalues': [-4, -5, -6, -2, -1, 4, 6, -1, -6, -6, 10, 6, 4, -4, -12, -8, 0, 0, -12, 4, -12, -2, 18, -2, -2, -14, 6, 14, -12, 0, -20, -4, 16, 8, -24, -8, 16, -14, 6, -18, -10, -6, -2, 12, 12, -20, 16, -4, 16, -24, -16, 0, 16, -28, 20, -10, 10, 22, 14, -10, -14, -8, 12, 20, -14, 22, -10, -6, -22, 14, 20, -4, -12, -36, 0, 12, 10, -14, 18, 14, -2, -34, 38, 14, 6, 2, 10, -10, 20, -40, -40, 20, 8, 44, -24, -28, 8, -32, -36, -28, -20, -12, 44, 10, 10, -6, -6, -38, 6, -12, -36, -12, -8, 12, -4, -24, 44, -8, 30, 50, -14, -18, -26, -46, 48, 8, 32, 0, 8, -36, -10, 26, 26, -10, 30, 2, 14, -22, -46, -20, 12, -16, 52, 36, -36, -40, 0, 4, 14, 46, -6, 2, -30, 38, -28, 8, 24, -8, 8, -40, 34, -26, 18, -26, 42, 6, -60, 48, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.2-c'}
58. label: 3.3.49.1-377.2-d
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', 1], ['[29, 29, 2*w^2 + w - 4]', -1]], 'hecke_eigenvalues': ['e', '-e + 3', 0, 0, -1, 'e - 8', '-2*e + 4', 1, '-2*e + 4', '2*e - 2', 0, '-2*e + 2', '2*e', '2*e', 'e - 6', '-2*e + 4', '-2*e + 4', 'e - 6', '-5*e + 12', '2*e - 16', '-4*e + 4', '2*e - 2', 0, -14, '-4*e + 6', '2*e - 14', '2*e', '2*e - 2', '3*e + 6', '-3*e + 12', '3*e + 6', 0, '3*e - 10', '-3*e + 10', '-2*e + 16', 'e - 8', '4*e - 4', '4*e - 18', '-6*e + 6', '6*e - 6', '-4*e + 20', '2*e - 14', '-4*e + 6', '3*e + 6', '8*e - 20', -12, 0, '-e - 6', '-4*e + 4', '2*e', -12, '-3*e + 12', '-3*e + 24', '-2*e + 16', '-4*e + 4', '6*e - 18', '2*e - 14', '2*e + 14', '-6*e + 6', '6*e - 6', '4*e + 10', '-3*e - 4', '-4*e + 4', '-3*e + 10', '2*e', '2*e - 14', '12*e - 24', '2*e + 12', -14, -14, '-2*e - 24', '8*e - 20', -12, '2*e + 12', 'e - 22', '-7*e + 14', '-4*e - 8', '-4*e + 34', '6*e - 18', 0, '2*e - 2', '-4*e + 18', '10*e - 22', '-6*e - 6', '-6*e + 36', '2*e - 2', '-8*e + 22', '-2*e + 16', '-11*e + 20', '2*e + 28', '-8*e + 24', '-4*e + 20', '9*e', '12*e - 24', '-2*e - 12', 'e - 8', '2*e + 12', '-11*e + 20', '9*e', '-6*e + 8', 0, '-2*e + 16', '-e - 34', '6*e - 20', '-8*e - 6', -14, '4*e + 26', '-4*e + 34', '-8*e + 10', '-7*e + 16', '-3*e + 26', 'e - 6', '-3*e + 38', '-6*e - 8', '12*e - 12', '-5*e', '-11*e + 34', '-7*e + 30', '6*e + 10', -12, '-2*e - 10', '2*e + 14', '6*e - 18', '4*e - 2', '17*e - 38', '-6*e - 8', '2*e - 44', '11*e - 2', '2*e - 28', '7*e + 2', 30, 2, '-12*e + 14', '-6*e + 34', -42, '-6*e - 8', 42, '-6*e + 6', '-8*e + 8', 28, '6*e + 8', '-17*e + 38', -12, '-4*e + 20', '4*e - 44', '-12*e + 12', '13*e - 34', 'e + 6', '-2*e - 40', '-12*e + 26', '6*e - 48', '-4*e - 10', 42, '16*e - 30', '6*e - 32', '3*e - 22', '5*e + 4', '11*e - 16', '-6*e + 36', '2*e + 28', '-12*e + 26', '8*e + 6', '12*e - 26', '14*e - 26', '-4*e + 34', '-4*e + 20', '5*e + 4', '-14*e + 44', '3*e - 22'], 'hecke_polynomial': 'x^2 - 4*x - 4', 'label': '3.3.49.1-377.2-d'}
59. label: 3.3.49.1-377.6-a
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', -1], ['[29, 29, -w^2 + 3*w + 1]', 1]], 'hecke_eigenvalues': [3, -1, 4, -1, 1, -7, 5, -10, -1, 7, -8, -8, -1, -1, -1, 12, 12, -8, -6, -1, -6, 13, 13, -2, -1, 9, 4, 6, 3, 8, -2, 20, -20, 10, 8, -12, -22, -3, -23, -3, 8, -7, 3, -28, 12, 27, -11, -26, 24, -20, 20, 15, -8, -3, 17, -18, -8, -8, 14, 4, -11, -17, -22, -12, -22, 13, 13, 10, 10, -5, 25, 20, 25, 30, -35, -20, -3, -28, 32, -26, -6, 4, 10, 0, 15, -18, 7, -18, 14, 19, -6, -38, 42, 27, -36, -11, -16, -12, 8, 8, 13, 23, -12, 27, 42, 22, 43, -12, 18, 37, 22, -28, 4, 44, 39, 15, -15, -15, -41, -26, 34, -13, -48, 2, -12, 28, 8, 44, -16, -16, 18, 3, 23, 35, -50, 0, -17, 8, 3, 17, -18, 12, -27, -12, 43, -15, -40, 0, 49, 4, 24, -3, -18, 2, -56, 34, -51, -3, 52, -3, 58, -22, -42, 24, 4, 54, -42, 23, 48], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.6-a'}
60. label: 3.3.49.1-377.6-b
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', 1], ['[29, 29, -w^2 + 3*w + 1]', -1]], 'hecke_eigenvalues': [1, -5, 0, 7, -1, 7, 9, 2, 1, -7, 0, 0, -5, -5, 9, -12, -12, -12, 14, 7, -14, 7, -7, -14, -19, 9, 16, -14, -5, 16, 2, 0, 0, 14, 0, 0, 14, -7, -7, -7, -12, -5, -19, 16, -12, 9, -21, 14, -28, -12, -12, 9, 0, 7, 7, 2, -12, -12, 14, 0, -7, 7, -14, -28, 2, -5, -5, 14, -14, -35, -5, 16, 23, -14, 21, -28, -33, 16, 16, -14, -14, 28, 30, 16, 37, -14, 21, 14, 30, 9, 30, 2, 30, 9, 28, -35, -28, 16, 44, 16, -7, 21, -28, 35, -14, 42, -19, -12, -26, -19, 30, 44, 28, -28, 7, 23, -19, -5, 37, 30, 2, -33, 16, 2, -28, 28, 0, -12, -12, 16, 2, 9, -19, 21, 14, 28, -7, -28, -7, -35, -14, -56, -19, 44, -47, -35, 0, -28, 21, -56, 0, 49, -42, -42, 16, 2, -19, 9, -12, -19, -14, -14, -42, 44, 16, 58, 2, 51, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.6-b'}
61. label: 3.3.49.1-377.6-c
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', -1], ['[29, 29, -w^2 + 3*w + 1]', 1]], 'hecke_eigenvalues': [-1, 3, -4, -1, 1, 1, 9, 6, -1, -9, 0, 0, 11, 11, -1, -12, -12, 0, -6, -9, -6, 17, -7, 14, 3, -15, -12, -18, -13, -16, -10, -4, 20, -22, 24, -12, -6, 17, -7, -7, 24, -3, -21, -4, -4, 23, 29, 14, -16, 12, 12, 15, 0, 9, -15, 6, 0, 0, 6, 12, -15, -25, 2, -4, 2, -19, 5, 2, 26, 11, 5, -28, -7, 30, -3, 12, -7, -4, 8, 38, 26, -4, 18, -24, 3, -18, 27, -18, -10, -1, 26, 42, 42, -33, 12, 21, 24, -4, -16, 8, 9, 3, 12, 35, 26, -10, 27, -36, 18, 5, -34, -28, -4, 44, -49, -9, -3, 21, 35, -10, -46, -33, 0, -6, -28, -28, 8, 36, 0, -24, 2, -1, -13, -13, 14, -40, -33, -24, -9, 29, -10, 44, 21, -36, -33, 21, 24, 0, 29, -4, -16, 33, 30, -30, -16, -46, 29, -39, 12, 45, -22, 2, -10, -48, -12, 6, -34, 11, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-377.6-c'}
62. label: 3.3.49.1-379.1-a
    {'AL_eigenvalues': [['[379, 379, 3*w^2 + 3*w - 11]', -1]], 'hecke_eigenvalues': [2, 0, 2, 5, -4, -8, -9, 6, -3, 0, -3, 12, 8, -1, -7, -9, -3, -12, 9, 15, 0, -16, -10, -1, 18, 18, 12, -9, -16, 8, 2, 20, 23, -19, 3, 21, 0, 23, -4, 17, 12, -21, -24, -4, -22, -19, -19, -13, -28, -9, 0, -6, 3, -15, 15, 3, -18, -12, -12, 0, 30, 20, 2, -16, -22, -19, 20, 8, -4, -22, 1, 20, -4, 6, 33, -9, 35, 23, 20, -7, 26, 29, -6, -3, 24, -27, -9, 12, 14, 8, 38, -9, -15, 12, -18, -18, 12, 8, -1, -16, 30, -12, 0, -34, 26, 2, 30, 6, -12, -34, -10, 14, -4, 5, -19, -18, 36, 24, 44, -10, -28, -33, 42, 6, 26, -1, -34, 0, 21, -15, 2, -34, -1, 14, 23, 41, 33, 6, 0, -16, 44, 14, -30, 27, -21, 18, 48, 24, 2, 26, -40, -24, 6, 42, 5, -4, -34, 24, 3, -30, -10, 11, 2, -42, 24, 21, -40, -31, -31], 'hecke_polynomial': 'x', 'label': '3.3.49.1-379.1-a'}
63. label: 4.4.7053.1-251.1-b
    {'AL_eigenvalues': [['[251, 251, -w^3 + 2*w^2 + 5*w - 2]', -1]], 'hecke_eigenvalues': ['e', '2*e - 1', 'e - 3', '-2*e + 2', '-e + 5', -3, '-3*e + 2', '-4*e + 6', 'e', '-2*e - 5', '3*e - 7', '-3*e + 8', 6, 'e - 10', '-2*e + 3', '-e - 9', '3*e - 7', '-e + 11', '4*e - 14', '2*e - 17', '3*e - 9', '-7*e + 1', '4*e', '-3*e + 10', '11*e - 14', '-3*e - 8', '7*e - 13', '-2*e + 5', '-e - 14', '-12*e + 9', '-9*e + 3', '-7*e + 14', '-e + 17', '-2*e + 11', '-6*e - 1', '6*e - 2', '4*e - 18', '-12*e + 6', '-5*e + 20', '6*e - 7', '9*e - 23', '7*e + 8', '4*e - 7', '4*e - 6', '-9*e + 7', '-7*e - 4', '16*e - 18', '6*e - 4', '-10*e + 12', 27, '4*e + 4', 1, '-4*e + 10', '12*e - 3', '4*e + 17', '-4*e + 6', 'e + 23', '-3*e + 12', '-5*e - 5', '8*e - 18', '-3*e + 29', '9*e - 3', '8*e - 22', '-14*e + 10', '12*e - 30', 'e - 11', '-6*e + 14', '10*e + 5', 'e + 21', -20, '-3*e - 7', -16, '-3*e + 21', '6*e - 31', '2*e - 17', '4*e - 11', '-2*e + 5', '4*e - 2', '21*e - 24', '14*e - 24', '-18*e + 32', '7*e + 17', '11*e - 12', '-e - 20', '-18*e + 16', '-13*e + 15', '2*e - 13', '4*e - 20', '-8*e - 17', '8*e - 4', '-5*e + 35', '3*e - 11', '-14*e + 32', '-8*e + 10', '-2*e + 34', '10*e - 8', 30, '-2*e - 28', '-7*e + 21', '-10*e - 11', '12*e - 6', '-12*e + 10', '22*e - 13', -26, '2*e - 4', '11*e - 12', '3*e - 16', '2*e - 37', '16*e - 36', '-8*e + 4', '13*e + 13', '8*e - 6', '-16*e + 17', '-8*e - 9', '16*e - 39', '-20*e + 12', '27*e - 35', '4*e + 25', '-11*e - 7', '-14*e + 19', '-21*e + 13', '18*e - 28', '24*e - 25', '-2*e - 2', '-4*e - 22', '18*e - 26', '3*e - 49', '-7*e + 12', '4*e - 38', '17*e - 17', '2*e - 12', '-e - 5', '-24*e + 12', '-10*e + 18', '10*e - 36', '-16*e + 5', 12, '-11*e + 20', '2*e - 40', '-16*e + 14', '-13*e + 25', '-20*e + 35', 'e + 24', '11*e - 28', '20*e - 38', '-7*e - 5', '35*e - 29', '-2*e + 2', '-12*e + 16', '16*e - 20', '25*e - 13', '-7*e - 7', '-e - 54', '-2*e - 22', '2*e + 14', '-6*e + 22', '10*e - 36', '13*e - 25', '4*e - 6', '15*e - 39', '14*e + 24', '-4*e - 3', '26*e - 42', '-6*e + 15'], 'hecke_polynomial': 'x^2 - 2*x - 1', 'label': '4.4.7053.1-251.1-b'}
64. label: 3.3.404.1-198.2-c
    {'AL_eigenvalues': [['[2, 2, -w - 1]', 1], ['[3, 3, w^2 - 2*w - 2]', 1], ['[11, 11, -w^2 + 2*w + 4]', 1]], 'hecke_eigenvalues': [-1, 0, -1, 4, -1, -3, -7, 5, -4, -9, -1, -1, -10, 5, 0, 6, 2, -4, 2, -12, -3, -16, -7, -16, 12, 0, -13, 14, -18, 17, -3, 2, 5, 18, 2, -22, 12, 12, 0, -12, -3, -12, 20, 5, 2, 5, -10, -15, -18, -30, 17, -18, 9, -24, 2, -10, -7, 14, -25, -18, -21, -16, -28, 2, 21, -25, 30, -16, 29, -16, 24, -9, 24, 6, 11, 15, -19, 14, 14, -24, 36, 29, -4, 18, -31, -24, 20, -24, 15, -16, 9, 21, 27, 3, 11, -28, -33, -42, -18, 20, 41, 15, 30, -9, 0, -37, 6, 24, 24, -6, -6, 18, 51, 5, -16, 24, -12, -9, -7, -19, 23, -46, -12, -22, 47, -13, 44, -42, -6, 0, 14, 15, 42, -39, -18, 42, 38, -3, -33, 36, -46, -12, -30, 36, 42, 12, 24, -10, -40, -10, 17, 14, -15, -49, -21, -13, 18, 30, 36, -22, 0, 17, 26, -60, 18, 42, -21, -15, 20, 29, -16], 'hecke_polynomial': 'x', 'label': '3.3.404.1-198.2-c'}
65. label: 3.3.49.1-377.6-d
    {'AL_eigenvalues': [['[13, 13, -2*w^2 + w + 2]', 1], ['[29, 29, -w^2 + 3*w + 1]', -1]], 'hecke_eigenvalues': ['e', 3, '-2*e + 2', 'e - 2', -1, '-e', '-e - 6', 2, 1, '-e + 2', '2*e - 2', '-2*e + 2', '-e - 4', '-e - 4', '-3*e + 4', '4*e', 4, '4*e', '-2*e', '3*e - 4', '-2*e + 4', 'e - 10', '3*e - 10', -14, '-e + 14', '-e + 2', '2*e - 2', '-4*e + 6', '3*e', '-4*e + 4', '2*e', -16, 16, '2*e - 4', '4*e - 4', 0, '6*e - 8', '7*e + 2', '3*e - 2', '-e - 6', '2*e + 2', '5*e + 6', '3*e + 2', '-4*e + 4', 20, 'e + 8', '3*e', '2*e + 12', -12, -12, '-4*e + 8', '5*e - 4', '4*e - 20', '-5*e - 4', '-e - 16', '-4*e - 10', '-2*e + 22', '2*e + 18', '8*e - 10', '-6*e + 6', '-9*e + 2', '3*e - 4', '-2*e + 20', 20, '4*e + 14', '-3*e - 10', '-7*e + 10', -34, -14, '-5*e + 10', '7*e + 4', '4*e + 12', '-e', '-10*e + 12', '-7*e + 20', -28, 'e - 2', '6*e + 10', '-10*e - 6', '8*e - 22', '4*e - 18', '-2*e - 2', '8*e + 6', '2*e - 18', '-5*e + 10', '-4*e - 10', '3*e - 14', '12*e + 2', '-10*e + 8', '-3*e + 12', '10*e + 4', '6*e - 20', '10*e + 4', '-11*e + 4', -4, '-3*e - 8', '-12*e', '-4*e + 4', -36, '4*e - 20', '-11*e + 20', '5*e + 16', '-8*e - 4', '-7*e + 18', '8*e + 10', '4*e + 6', '-e - 10', '10*e + 10', 6, '-11*e + 16', '2*e - 36', '-4*e + 16', '4*e - 24', '-8*e - 20', '-5*e + 36', '-13*e - 4', '-7*e + 4', '-5*e + 32', '7*e + 14', -2, 34, '-11*e - 6', '2*e + 30', '12*e + 6', '4*e + 32', '12*e', '8*e - 8', '-4*e - 24', -12, '-4*e - 28', -30, '3*e - 10', '-5*e + 34', '7*e + 22', '-8*e - 10', '6*e + 22', '-9*e + 10', '-6*e - 6', '3*e + 22', '-7*e - 12', '2*e + 16', '-4*e + 12', 'e + 4', '-8*e + 4', '9*e - 8', '-3*e - 32', '-16*e + 16', 36, '3*e + 18', '-6*e + 14', '-6*e + 6', '11*e - 10', '4*e + 18', '4*e - 46', '4*e - 36', '-2*e + 20', '-15*e + 20', 'e - 8', '8*e + 28', '5*e - 32', 18, 34, -10, '2*e - 22', '-6*e - 26', 26, '2*e', '-5*e + 8', -8], 'hecke_polynomial': 'x^2 - x - 8', 'label': '3.3.49.1-377.6-d'}
66. label: 3.3.49.1-379.1-b
    {'AL_eigenvalues': [['[379, 379, 3*w^2 + 3*w - 11]', -1]], 'hecke_eigenvalues': ['e', 0, '-e + 1', '1/4*e^2 - e - 3', 2, '-1/2*e^2 + 2*e + 8', '-1/4*e^2 - 3/2*e + 4', '-1/2*e^2 + 2', '3/4*e^2 - 1/2*e - 8', '-1/2*e^2 + 8', '1/2*e^2 - 1/2*e - 1', '-1/2*e^2 + e', '-e^2 + e + 10', '1/2*e^2 - 1/2*e - 5', '-e^2 + 1/2*e + 11', '3/4*e^2 - 3*e - 3', '3/4*e^2 - e - 13', 'e^2 - 2*e - 12', '5/4*e^2 - 3/2*e - 8', '-e^2 + 1/2*e + 9', '-1/2*e^2 + e + 9', '1/2*e^2 - e - 10', '-1/2*e^2 + 2*e + 12', '1/2*e^2 - 1/2*e - 11', '1/2*e^2 + 2*e - 15', '1/2*e^2 - e - 15', 'e^2 + e - 18', '3/2*e + 3', '3*e - 1', 'e^2 - 5*e - 10', '-3/2*e^2 + 3*e + 14', '3/2*e^2 - 4*e - 17', '3/4*e^2 - 3/2*e - 22', '-1/4*e^2 + 7/2*e + 2', '-3/4*e^2 - 5/2*e + 8', '-1/4*e^2 + 7', '-e^2 + 2*e + 15', '1/4*e^2 + 3*e - 5', 'e^2 - 14', '1/4*e^2 + 5/2*e + 2', 'e^2 - 10', '-3/4*e^2 + 2*e + 23', '1/2*e^2 + 2*e - 6', '-1/2*e^2 + 2*e - 6', -10, '-7/4*e^2 + 2*e + 11', '1/4*e^2 - 4*e - 9', '-1/4*e^2 - 3/2*e + 6', 'e^2 - 7*e - 12', '-1/2*e^2 + 9/2*e - 1', '-1/2*e^2 + 6*e + 8', '-5/2*e^2 + 3*e + 28', '-3/4*e^2 + 11/2*e + 4', '-5/4*e^2 + 6*e + 23', '-1/2*e^2 + 5/2*e + 15', '-1/2*e^2 - 5/2*e + 13', '2*e + 8', '-1/2*e^2 + 3*e + 14', '1/2*e^2 + e - 22', '-1/2*e^2 + 3*e + 20', '-1/2*e^2 + e + 12', '3/2*e^2 - 6*e - 13', '-5/2*e^2 + 7*e + 28', '-3/2*e^2 - 3*e + 32', '-1/2*e^2 + 2*e', '-13/2*e + 9', 'e^2 - 5*e - 16', '6*e + 2', '-e^2 + 6*e + 18', '2*e^2 - 9*e - 30', 1, '-3/2*e^2 + 8', '-e^2 + 2*e - 13', -6, '-e^2 + 11/2*e + 11', '1/4*e^2 - 3/2*e + 14', '5/4*e^2 + 4*e - 29', '7/4*e^2 - 8*e - 13', '5/2*e^2 - 9*e - 32', '-1/4*e^2 - 2*e + 25', '-3/2*e^2 - e + 25', '11/4*e^2 - 7/2*e - 26', '4*e - 8', '-7/4*e^2 + 6*e + 13', '1/2*e^2 - 3*e + 4', '-1/4*e^2 + 6*e + 1', '-7/4*e^2 - 9/2*e + 34', '4*e^2 - 7*e - 32', '-2*e^2 - e + 36', '-1/2*e^2 - 3*e + 13', '-1/2*e^2 + 4*e - 22', '1/4*e^2 + 6*e - 7', '1/2*e^2 - 9/2*e + 1', '-e^2 + 3*e + 10', '-e^2 - 5*e + 8', '3/2*e^2 - 3*e - 6', '-1/2*e^2 + 20', '-3*e^2 + 12*e + 29', '5/4*e^2 - 13/2*e - 8', '-3*e^2 - 2*e + 42', '6*e - 6', 'e^2 - 6*e - 40', 'e^2 - 5*e - 27', '2*e^2 - 4*e - 34', '1/2*e^2 - 2*e + 4', '-1/2*e^2 - 8', '5/2*e^2 - 2*e - 27', -42, 30, '2*e^2 - 2*e - 8', '1/2*e^2 - 18', '4*e^2 - 6*e - 32', '5/2*e^2 - 4*e - 12', '-1/4*e^2 + e + 19', '-7/4*e^2 + 11*e + 23', '2*e^2 - 3*e - 8', '-3*e^2 + 5*e + 35', '-3/2*e^2 + 4*e + 10', '-5/2*e^2 + 4*e + 22', '9/2*e^2 - 9*e - 37', 'e^2 - e - 12', '-7/4*e^2 - e + 39', 'e^2 - 2*e - 21', '2*e^2 - 6*e - 11', '-3*e^2 + 32', '3/2*e^2 - 9/2*e - 1', '10*e - 6', '-8*e - 8', '-7/4*e^2 + 9/2*e + 16', '-1/4*e^2 - 9/2*e - 2', '-3/2*e^2 - 3*e + 11', '2*e^2 - 8*e + 4', '-5/4*e^2 - 2*e + 35', '-9/2*e^2 + 56', '9/2*e^2 - 9/2*e - 43', '1/2*e^2 - 13/2*e - 5', '-2*e^2 + 19/2*e + 13', '-6*e + 24', '3*e^2 - 11*e - 44', '-e^2 + 7*e - 17', '-7/2*e^2 + 4*e + 53', '9/2*e^2 - 8*e - 30', '-3*e^2 + 8*e + 20', '3/4*e^2 + 3/2*e - 24', '-1/4*e^2 + 6*e + 13', '-e^2 - 3*e - 2', '1/2*e^2 + e - 7', 'e^2 - 10', '3/2*e^2 - 8*e + 6', '-2*e^2 + 8*e - 6', '-2*e^2 + 4*e + 26', '-1/2*e^2 - 6*e + 8', '7/2*e^2 - 12*e - 32', 'e^2 - 2*e + 12', '-5/4*e^2 + 3*e + 19', '3/2*e^2 + e - 36', 'e^2 - 7*e - 12', '1/2*e^2 + 8*e - 9', '-19/4*e^2 + 29/2*e + 50', '2*e^2 - e - 24', '3/2*e^2 - 4*e + 22', '-21/4*e^2 + 27/2*e + 50', '-3/2*e^2 - 3*e + 32', '-1/2*e^2 + 3*e + 20', '-13*e + 8', '-9/4*e^2 + 4*e + 49', '2*e^2 + 7*e - 32', '-3/4*e^2 - 9/2*e + 26', '21/2*e - 13'], 'hecke_polynomial': 'x^3 - 2*x^2 - 16*x + 8', 'label': '3.3.49.1-379.1-b'}
67. label: 3.3.49.1-392.1-a
    {'AL_eigenvalues': [['[8, 2, 2]', 1]], 'hecke_eigenvalues': [0, -1, 4, 4, 4, -10, -6, -6, -6, -6, -6, -6, 8, 8, 8, 0, 0, 0, 6, 6, 6, 10, 10, 10, 6, 6, 6, 0, -16, -16, -16, -14, -14, -14, 12, 12, 12, -20, -20, -20, -18, -18, -18, -4, -4, -4, -8, -8, -8, 24, 24, 24, 18, 18, 18, -6, -6, -6, -24, -24, -24, -2, -2, -2, 14, 14, 14, 28, 28, 28, -16, -16, -16, -6, -6, -6, -10, -10, -10, 34, 34, 34, 18, 18, 18, -12, -12, -12, 32, 32, 32, -12, -12, -12, 0, 0, 0, 8, 8, 8, 42, 42, 42, -26, -26, -26, 6, 6, 6, -16, -16, -16, -14, -14, -14, -24, -24, -24, 26, 26, 26, 18, 18, 18, -44, -44, -44, 24, 24, 24, 2, 2, 2, -14, -14, -14, 12, 12, 12, -2, -2, -2, -36, -36, -36, -12, -12, -12, -44, -44, -44, 54, 54, 54, 20, 20, 20, 48, 48, 48, -2, -2, -2, -54, -54, -54, 32, 32, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-392.1-a'}
68. label: 3.3.49.1-392.1-b
    {'AL_eigenvalues': [['[8, 2, 2]', -1]], 'hecke_eigenvalues': [0, 1, 0, 0, 0, 'e', 2, 2, 2, '-e', '-e', '-e', 2, 2, 2, -12, -12, -12, 'e', 'e', 'e', 'e', 'e', 'e', -12, -12, -12, '-2*e', 16, 16, 16, 'e', 'e', 'e', '-2*e', '-2*e', '-2*e', 0, 0, 0, 2, 2, 2, -12, -12, -12, 0, 0, 0, -12, -12, -12, 'e', 'e', 'e', 16, 16, 16, '-2*e', '-2*e', '-2*e', '-e', '-e', '-e', 2, 2, 2, 0, 0, 0, -26, -26, -26, '-e', '-e', '-e', 30, 30, 30, '-3*e', '-3*e', '-3*e', 30, 30, 30, '4*e', '4*e', '4*e', 16, 16, 16, -12, -12, -12, '4*e', '4*e', '4*e', -26, -26, -26, '-3*e', '-3*e', '-3*e', '3*e', '3*e', '3*e', -26, -26, -26, 44, 44, 44, 'e', 'e', 'e', 30, 30, 30, -12, -12, -12, 30, 30, 30, '-2*e', '-2*e', '-2*e', 16, 16, 16, 2, 2, 2, '3*e', '3*e', '3*e', 0, 0, 0, '-3*e', '-3*e', '-3*e', -12, -12, -12, '2*e', '2*e', '2*e', 0, 0, 0, '3*e', '3*e', '3*e', 44, 44, 44, -40, -40, -40, 'e', 'e', 'e', -26, -26, -26, -12, -12, -12], 'hecke_polynomial': 'x^2 - 98', 'label': '3.3.49.1-392.1-b'}
69. label: 3.3.49.1-421.1-a
    {'AL_eigenvalues': [['[421, 421, 9*w^2 - 5*w - 15]', -1]], 'hecke_eigenvalues': [3, -1, -1, 4, -1, -7, 0, 0, 0, 7, 7, -8, -6, 4, -6, -8, 12, -3, 9, 9, 4, -2, -2, -7, -21, -6, 4, 11, -7, 8, -7, 0, -10, -5, 8, -2, -12, 12, 2, 17, -12, 13, -27, 7, 22, -13, -16, 9, 24, 10, -5, 20, 17, -8, 2, 2, 12, 12, 14, -26, -11, 8, -27, 8, -2, -2, -27, 20, 10, 0, 20, 30, -15, -10, 20, -35, 1, -13, -33, -11, -11, 19, 20, 10, -15, 22, -38, 22, -26, -11, -1, -8, 12, 2, -6, -11, 24, -7, 3, -32, 18, 23, -42, 17, 2, 2, -27, 18, 3, 32, 32, -28, -46, -36, -31, -30, 15, -15, 24, 14, 14, 27, -23, 22, -32, -2, 8, 24, 39, -11, -2, -2, 48, -5, 35, 40, 43, -2, 23, 2, 52, 7, -22, -12, 28, -5, -20, 0, -21, 49, -26, 12, 32, 12, 4, 14, 44, -13, 27, 2, -22, 33, -12, 9, 19, -36, 33, -57, -37], 'hecke_polynomial': 'x', 'label': '3.3.49.1-421.1-a'}
70. label: 3.3.49.1-421.1-b
    {'AL_eigenvalues': [['[421, 421, 9*w^2 - 5*w - 15]', 1]], 'hecke_eigenvalues': [-5, -3, -3, -4, -1, 1, 0, -8, 0, 5, 5, -8, -2, -8, 6, 0, 12, -1, -15, 11, 0, -2, 10, 3, 11, 6, 0, -21, -13, 20, 11, -4, -14, -15, -8, -14, 12, -20, 2, -23, -8, 23, -11, -27, -22, 1, -24, 11, 20, -14, 11, 0, -23, 8, -18, 6, -32, 24, 2, 22, -11, -4, 7, -4, 2, -2, 31, 0, -6, -20, 12, 10, 33, -30, -28, -9, -1, 3, 13, 23, 23, -5, 4, 18, 19, 34, 2, -30, 18, -9, 37, 0, -4, 2, -2, 29, 24, 25, -37, 16, -34, -27, -18, -13, 30, -38, 29, -2, 17, -48, 16, 4, 10, 8, 9, 18, -27, 51, -12, -34, 2, -13, 33, -38, 40, 38, -8, -24, 47, -1, 18, 46, 16, -21, -7, -12, -5, -46, -43, -50, 28, 37, -34, -44, -12, 27, -12, 36, 1, 9, 10, -24, 4, 40, 44, -6, -44, 27, 17, -30, 2, -39, -44, -39, -39, 52, 17, -43, -31], 'hecke_polynomial': 'x', 'label': '3.3.49.1-421.1-b'}
71. label: 3.3.49.1-421.1-c
    {'AL_eigenvalues': [['[421, 421, 9*w^2 - 5*w - 15]', -1]], 'hecke_eigenvalues': [0, 'e', '2*e - 2', '-2*e + 2', 2, '-2*e + 6', '-4*e + 8', '-3*e + 6', '2*e - 7', '2*e - 6', 'e - 4', '-e + 6', 0, '2*e - 12', '-2*e + 1', '-4*e + 3', '6*e - 18', '-4*e + 14', '8*e - 13', '-6*e + 12', '2*e - 3', '-2*e + 14', '5*e - 12', '-2*e + 18', '2*e - 4', '6*e - 12', '-6*e + 7', '-4*e + 13', '-3*e + 8', '4*e - 18', '-6*e + 8', '2*e + 8', 14, '-6*e + 22', '2*e - 8', '9*e - 14', '-2*e + 4', '-4*e - 10', '4*e', '8*e - 11', '8*e - 16', -20, '10*e - 20', '-5*e + 8', -14, '-4*e + 4', '4*e - 6', '9*e - 24', '-10*e + 14', '7*e - 10', '6*e - 14', '-5*e + 18', '-4*e - 2', '8*e - 18', 'e - 6', '6*e + 8', '-6*e + 6', '-8*e + 16', '-10*e + 22', '-4*e - 15', '-12*e + 19', '-4*e - 8', '-6*e - 6', '6*e - 16', '-4*e', '12*e - 20', '4*e - 26', '10*e - 27', '6*e - 32', '-4*e + 8', '-16*e + 34', '2*e - 28', '-8*e + 34', '-4*e - 2', '-15*e + 32', '2*e - 18', 1, '-14*e + 30', '4*e - 20', '-10*e + 36', '12*e - 8', '10*e - 22', '12*e - 10', -20, 30, '-6*e + 16', '-6*e + 40', '4*e - 10', '4*e + 8', '6*e + 16', '13*e - 12', '10*e - 4', '7*e - 14', 'e - 18', '6*e + 12', '8*e - 15', '2*e - 19', '20*e - 32', '-4*e - 10', '-7*e + 42', '10*e + 10', 8, '-4*e + 44', '12*e - 16', '-12*e + 38', '-14*e + 42', '-12*e + 42', '-8*e + 34', '-17*e + 40', '-10*e + 40', '-10*e + 28', '6*e + 11', '-12*e + 8', '18*e - 48', '-12*e + 41', '-14*e + 34', '18*e - 48', '-2*e + 34', '-12*e', '-14*e + 12', '-4*e + 4', '4*e + 19', '24*e - 50', '12*e - 14', '24*e - 44', '4*e - 10', '-3*e + 20', '-23*e + 40', -24, '-6*e + 52', '3*e - 8', '-2*e + 5', '21*e - 30', '-6*e + 4', '10*e - 54', '-6*e + 22', -14, '-4*e - 12', '-26*e + 48', '6*e + 2', '-20*e + 38', 22, '2*e + 28', '8*e + 8', '6*e + 16', 4, '8*e - 24', '-26*e + 46', '-e + 44', '8*e - 6', '-8*e + 2', '6*e - 18', '2*e + 16', '14*e - 28', '-19*e + 36', '18*e - 37', '-4*e + 19', '-16*e + 31', '-14*e + 52', '20*e - 20', '-16*e + 49', '-20*e + 43', '8*e + 2', '-4*e - 4', '-7*e', -6, '8*e - 31', '-9*e - 12', '2*e - 32'], 'hecke_polynomial': 'x^2 - 4*x + 1', 'label': '3.3.49.1-421.1-c'}
72. label: 3.3.49.1-729.1-b
    {'AL_eigenvalues': [], 'hecke_eigenvalues': [-1, 0, -7, -7, -7, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 14, 14, 14, 0, 0, 0, 0, -19, -19, -19, -7, -7, -7, 0, 0, 0, -7, -7, -7, 0, 0, 0, -16, -16, -16, -28, -28, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 35, 35, 5, 5, 5, 14, 14, 14, -37, -37, -37, 0, 0, 0, -19, -19, -19, 35, 35, 35, 0, 0, 0, 0, 0, 0, 23, 23, 23, 0, 0, 0, 0, 0, 0, -40, -40, -40, 0, 0, 0, -49, -49, -49, 0, 0, 0, 44, 44, 44, -7, -7, -7, 0, 0, 0, -37, -37, -37, 0, 0, 0, -49, -49, -49, 0, 0, 0, 26, 26, 26, -49, -49, -49, 0, 0, 0, 56, 56, 56, 0, 0, 0, 0, 0, 0, 35, 35, 35, 0, 0, 0, 47, 47, 47, 0, 0, 0, 35, 35, 35, 0, 0, 0, -61, -61, -61], 'hecke_polynomial': 'x', 'label': '3.3.49.1-729.1-b'}
73. label: 3.3.49.1-419.1-a
    {'AL_eigenvalues': [['[419, 419, -5*w^2 - 3*w + 9]', -1]], 'hecke_eigenvalues': ['e', '-11/74*e^5 + 1/37*e^4 + 179/74*e^3 - 157/74*e^2 - 209/74*e + 20/37', '13/74*e^5 + 1/74*e^4 - 225/74*e^3 + 81/37*e^2 + 216/37*e - 165/74', '12/37*e^5 - 1/74*e^4 - 441/74*e^3 + 104/37*e^2 + 1011/74*e + 175/37', '-2/37*e^5 - 3/37*e^4 + 46/37*e^3 + 32/37*e^2 - 223/37*e - 23/37', '-8/37*e^5 - 12/37*e^4 + 147/37*e^3 + 128/37*e^2 - 559/37*e - 314/37', '-15/37*e^5 - 4/37*e^4 + 271/37*e^3 - 93/37*e^2 - 729/37*e - 6/37', '6/37*e^5 + 9/37*e^4 - 101/37*e^3 - 59/37*e^2 + 262/37*e + 143/37', '-1/37*e^5 + 17/37*e^4 + 23/37*e^3 - 280/37*e^2 + 92/37*e + 377/37', '4/37*e^5 + 6/37*e^4 - 147/74*e^3 - 165/74*e^2 + 187/37*e + 573/74', '-5/37*e^5 + 11/37*e^4 + 115/37*e^3 - 216/37*e^2 - 428/37*e + 331/37', '-15/37*e^5 - 4/37*e^4 + 271/37*e^3 - 93/37*e^2 - 655/37*e - 154/37', '-1/37*e^5 - 20/37*e^4 + 23/37*e^3 + 349/37*e^2 - 315/37*e - 548/37', '-1/37*e^5 + 17/37*e^4 + 23/37*e^3 - 280/37*e^2 + 166/37*e + 303/37', '-6/37*e^5 - 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134/37*e^2 - 1233/37*e - 2513/74', '-75/37*e^5 + 17/37*e^4 + 1392/37*e^3 - 983/37*e^2 - 3386/37*e + 488/37', '-2/37*e^5 - 3/37*e^4 + 46/37*e^3 + 143/37*e^2 - 223/37*e - 837/37', '-59/74*e^5 - 33/74*e^4 + 1135/74*e^3 + 28/37*e^2 - 1911/37*e - 31/74', '11/37*e^5 + 35/37*e^4 - 216/37*e^3 - 509/37*e^2 + 1245/37*e + 1958/37', '73/37*e^5 + 17/37*e^4 - 1309/37*e^3 + 460/37*e^2 + 3274/37*e + 525/37', '-4/37*e^5 - 6/37*e^4 + 18/37*e^3 - 84/37*e^2 + 368/37*e + 768/37', '17/74*e^5 + 81/74*e^4 - 391/74*e^3 - 580/37*e^2 + 1290/37*e + 1953/74', '-9/37*e^5 + 5/37*e^4 + 133/37*e^3 - 115/37*e^2 + 458/37*e - 455/37', '-81/74*e^5 - 29/74*e^4 + 1419/74*e^3 - 18/37*e^2 - 1306/37*e - 3873/74', '27/37*e^5 + 22/37*e^4 - 510/37*e^3 - 62/37*e^2 + 1771/37*e + 1069/37', '27/37*e^5 - 67/74*e^4 - 1057/74*e^3 + 863/37*e^2 + 2247/74*e - 1299/37', '-7/37*e^5 + 45/37*e^4 + 124/37*e^3 - 813/37*e^2 + 52/37*e + 1418/37', '19/37*e^5 + 47/37*e^4 - 363/37*e^3 - 637/37*e^2 + 1286/37*e + 1273/37', '68/37*e^5 - 9/37*e^4 - 1194/37*e^3 + 873/37*e^2 + 2365/37*e + 5/37', '19/37*e^5 + 47/37*e^4 - 400/37*e^3 - 785/37*e^2 + 1878/37*e + 2346/37', '9/37*e^5 + 27/74*e^4 - 155/74*e^3 - 33/37*e^2 - 879/74*e - 211/37', '56/37*e^5 + 10/37*e^4 - 992/37*e^3 + 436/37*e^2 + 2174/37*e - 244/37', '-1/37*e^5 - 77/74*e^4 + 83/74*e^3 + 608/37*e^2 - 1703/74*e - 548/37', '57/37*e^5 - 7/37*e^4 - 1052/37*e^3 + 605/37*e^2 + 2452/37*e + 378/37', '-10/37*e^5 - 15/37*e^4 + 230/37*e^3 + 271/37*e^2 - 893/37*e - 1077/37', '2/37*e^5 + 40/37*e^4 - 46/37*e^3 - 698/37*e^2 + 334/37*e + 1762/37', '40/37*e^5 - 14/37*e^4 - 698/37*e^3 + 655/37*e^2 + 1204/37*e - 724/37', '-79/74*e^5 + 11/74*e^4 + 1447/74*e^3 - 404/37*e^2 - 1509/37*e - 1815/74', '-76/37*e^5 + 34/37*e^4 + 1378/37*e^3 - 1189/37*e^2 - 2813/37*e - 171/37', '41/37*e^5 + 6/37*e^4 - 832/37*e^3 + 232/37*e^2 + 2703/37*e + 379/37', '-26/37*e^5 - 2/37*e^4 + 524/37*e^3 - 102/37*e^2 - 1530/37*e - 1372/37', '-45/37*e^5 - 12/37*e^4 + 776/37*e^3 - 316/37*e^2 - 1262/37*e - 573/37', '-57/37*e^5 + 7/37*e^4 + 1089/37*e^3 - 642/37*e^2 - 2822/37*e - 193/37', '-44/37*e^5 + 45/37*e^4 + 864/37*e^3 - 1109/37*e^2 - 1983/37*e + 567/37', '25/37*e^5 - 73/74*e^4 - 1039/74*e^3 + 821/37*e^2 + 2689/74*e - 693/37', '30/37*e^5 + 8/37*e^4 - 542/37*e^3 + 186/37*e^2 + 1310/37*e + 530/37', '43/37*e^5 + 46/37*e^4 - 804/37*e^3 - 392/37*e^2 + 2445/37*e + 1697/37', '65/37*e^5 - 27/74*e^4 - 2361/74*e^3 + 773/37*e^2 + 5615/74*e + 137/37', '-68/37*e^5 + 9/37*e^4 + 1231/37*e^3 - 910/37*e^2 - 2735/37*e + 624/37', '44/37*e^5 - 45/37*e^4 - 827/37*e^3 + 1146/37*e^2 + 1761/37*e - 1196/37', '22/37*e^5 - 4/37*e^4 - 395/37*e^3 + 425/37*e^2 + 1010/37*e - 783/37', '-5/37*e^5 - 26/37*e^4 + 78/37*e^3 + 450/37*e^2 - 95/37*e - 1149/37', '-12/37*e^5 - 73/74*e^4 + 515/74*e^3 + 636/37*e^2 - 2713/74*e - 1285/37', '53/37*e^5 - 13/37*e^4 - 997/37*e^3 + 595/37*e^2 + 2598/37*e + 147/37', '-43/37*e^5 + 28/37*e^4 + 767/37*e^3 - 755/37*e^2 - 1335/37*e - 402/37', '-53/37*e^5 + 13/37*e^4 + 960/37*e^3 - 743/37*e^2 - 2080/37*e - 258/37', '-51/37*e^5 - 21/37*e^4 + 877/37*e^3 - 257/37*e^2 - 2042/37*e - 87/37', '-29/37*e^5 - 13/74*e^4 + 853/74*e^3 - 313/37*e^2 - 251/74*e - 93/37', '-22/37*e^5 + 4/37*e^4 + 432/37*e^3 - 203/37*e^2 - 1343/37*e - 31/37', '6/37*e^5 - 28/37*e^4 - 138/37*e^3 + 570/37*e^2 + 188/37*e - 1448/37', '-24/37*e^5 - 36/37*e^4 + 367/37*e^3 + 199/37*e^2 - 826/37*e + 353/37', 'e^5 - 33/2*e^3 + 21/2*e^2 + 24*e + 37/2', '-9/37*e^5 + 42/37*e^4 + 207/37*e^3 - 781/37*e^2 - 689/37*e + 1580/37', 'e^5 + e^4 - 17*e^3 - 4*e^2 + 38*e + 25', '2*e^5 + e^4 - 36*e^3 + 4*e^2 + 102*e + 24', '-20/37*e^5 - 67/37*e^4 + 460/37*e^3 + 1171/37*e^2 - 2748/37*e - 3005/37', '-6/37*e^5 + 65/37*e^4 + 138/37*e^3 - 1125/37*e^2 + 34/37*e + 1485/37', '8/37*e^5 - 62/37*e^4 - 184/37*e^3 + 1130/37*e^2 + 448/37*e - 1906/37', '28/37*e^5 - 69/37*e^4 - 1029/74*e^3 + 2619/74*e^2 + 680/37*e - 1391/74', '-22/37*e^5 - 33/37*e^4 + 358/37*e^3 + 315/37*e^2 - 825/37*e - 919/37', '-19/37*e^5 - 47/37*e^4 + 363/37*e^3 + 637/37*e^2 - 1730/37*e - 2013/37', '1/2*e^5 + 1/2*e^4 - 17/2*e^3 - e^2 + 20*e + 15/2', '-4/37*e^5 + 25/74*e^4 + 73/74*e^3 - 158/37*e^2 + 921/74*e - 9/37', '-50/37*e^5 - 38/37*e^4 + 928/37*e^3 + 97/37*e^2 - 2874/37*e - 1056/37', '24/37*e^5 - 38/37*e^4 - 515/37*e^3 + 615/37*e^2 + 1492/37*e + 239/37', '-32/37*e^5 - 11/37*e^4 + 588/37*e^3 - 228/37*e^2 - 1940/37*e + 76/37', '-e^4 - 2*e^3 + 13*e^2 + 3*e - 7', '-17/37*e^5 + 67/37*e^4 + 354/37*e^3 - 1171/37*e^2 - 212/37*e + 970/37', 'e^5 + 1/2*e^4 - 37/2*e^3 + e^2 + 99/2*e + 21', '-47/37*e^5 + 22/37*e^4 + 896/37*e^3 - 728/37*e^2 - 2336/37*e - 115/37', '21/74*e^5 + 13/74*e^4 - 483/74*e^3 - 94/37*e^2 + 1624/37*e + 1037/74', '79/74*e^5 - 11/74*e^4 - 1447/74*e^3 + 404/37*e^2 + 1657/37*e + 1223/74'], 'hecke_polynomial': 'x^6 - 2*x^5 - 19*x^4 + 46*x^3 + 38*x^2 - 92*x - 31', 'label': '3.3.49.1-419.1-a'}
74. label: 3.3.49.1-433.1-a
    {'AL_eigenvalues': [['[433, 433, -8*w^2 + 7*w + 10]', -1]], 'hecke_eigenvalues': [-4, 3, -1, -1, 5, 7, -9, 0, 9, 6, -9, 0, 2, 2, 8, -9, 0, -9, -9, 12, -12, 8, 2, -16, 9, -12, 18, -12, 8, -7, 8, -7, -10, -22, 21, 0, -21, 2, 5, -19, 12, -6, 0, 20, -16, 23, 5, -19, -7, -12, 6, 12, 24, -12, -24, -6, 9, 30, -21, -30, 18, 5, 20, -16, -34, -34, -13, 20, -10, -1, 5, 11, 11, 3, -9, 36, 17, -28, -4, 1, -22, -16, -12, 30, 6, 33, 6, -12, 14, 8, 17, 36, 36, -12, -21, 0, -12, 20, 17, 8, 21, 3, 6, -19, -34, -7, -48, -27, 42, -46, 20, 8, -13, -16, -4, -27, -36, 24, -28, -1, -1, 21, 27, -18, 38, -19, 8, 42, -36, 21, 11, 26, 11, 14, 14, -22, 6, -51, 15, 29, 26, 23, -3, -18, -48, 24, 42, 18, 14, 14, -19, 45, 30, 45, 23, -28, 23, 27, 30, 27, -16, -16, 32, -18, -18, 6, 35, 56, -58], 'hecke_polynomial': 'x', 'label': '3.3.49.1-433.1-a'}
75. label: 3.3.49.1-433.1-b
    {'AL_eigenvalues': [['[433, 433, -8*w^2 + 7*w + 10]', 1]], 'hecke_eigenvalues': [-4, -5, 1, -5, -1, -9, -5, 4, -1, -2, 11, 0, -10, 10, -8, 13, -4, -13, -3, 4, 16, 12, -2, 8, -13, -12, -10, 8, -16, 11, -4, -5, -2, -14, 13, 0, 3, -18, 13, 5, -12, 6, -12, 28, -8, 3, -7, -21, -29, 0, -6, -12, 12, -20, 24, 18, -27, 2, -29, 22, -6, -17, -4, -12, -34, 2, 5, -16, -2, -19, 37, -21, 11, -7, 9, 0, -9, 28, -8, -1, 2, 0, 12, -6, -6, 23, 42, 0, 30, 32, -1, -36, 24, -20, 29, 0, -4, -4, 33, 32, 15, 23, 6, -7, 26, 35, -12, 3, -38, -10, 12, -32, -41, -16, 36, 15, -36, -16, 12, -29, 33, 21, -37, -6, 2, 47, 24, -6, 0, -31, -9, 38, 9, 26, -14, 26, 26, -23, -47, -21, 26, -13, 3, 6, -20, -48, -2, -46, 10, 38, 19, -27, -46, 45, -47, -44, 29, 33, 30, -27, -12, 28, 52, 6, -30, 22, 1, -16, 10], 'hecke_polynomial': 'x', 'label': '3.3.49.1-433.1-b'}
76. label: 3.3.49.1-433.1-c
    {'AL_eigenvalues': [['[433, 433, -8*w^2 + 7*w + 10]', -1]], 'hecke_eigenvalues': [2, -3, 2, 2, -4, 4, 6, 6, 6, 6, -6, -6, -4, -4, 8, 0, 0, 0, -12, -6, 0, -10, -4, 14, 12, -12, -6, -6, -4, -16, -4, 8, -16, -4, 0, 12, -12, 2, -10, -22, -12, 6, 18, -10, 8, -4, -16, 26, -4, 6, 6, 18, -6, 12, 24, -6, -30, -24, 6, 6, -6, 8, 20, -16, 8, 26, 14, 14, 26, -28, 8, -16, 20, 36, -6, -24, 26, 26, 20, 1, 8, 2, 12, -12, 30, -18, 0, 0, 32, -16, 2, 30, -6, -30, 30, -36, -24, 32, 8, -10, 12, 12, -36, -46, -22, -4, 42, 30, -30, 32, -34, -4, -4, 26, -40, -12, 6, -36, -10, -46, -10, 6, 18, 18, -40, 44, -28, -12, -24, 0, 38, 14, 20, -4, -22, 14, 42, -54, 6, 2, -4, -28, 30, 36, 48, 36, -36, -12, -16, 2, 26, -18, 6, 18, 26, -4, 44, -12, 12, 42, 38, -34, 26, 54, -36, -42, 56, 62, -4], 'hecke_polynomial': 'x', 'label': '3.3.49.1-433.1-c'}
77. label: 3.3.49.1-433.1-d
    {'AL_eigenvalues': [['[433, 433, -8*w^2 + 7*w + 10]', -1]], 'hecke_eigenvalues': ['e', 3, '-2*e + 2', '-2*e + 2', 'e - 2', -4, 2, '4*e - 6', -2, '2*e - 8', 2, '-4*e + 6', '4*e - 4', 2, '-2*e', '-4*e + 8', 0, 2, '-4*e + 8', '5*e - 12', '2*e - 4', '-6*e + 6', '-e - 2', '2*e - 8', 'e + 2', 'e + 14', '-4*e + 2', '-2*e + 2', '-10*e + 12', 4, '-2*e', '6*e - 16', '6*e - 8', 0, -12, '-10*e + 4', '-2*e + 4', '10*e - 2', -6, '10*e - 12', '5*e + 10', -6, '-6*e - 2', '7*e + 4', '-14*e + 16', 12, '4*e + 10', '5*e + 12', '-6*e + 24', '-7*e + 4', 'e - 12', '3*e - 20', '11*e - 20', '8*e - 24', '-2*e + 12', '8*e - 18', -2, '-5*e + 10', '-8*e + 2', '8*e + 2', '14*e - 14', '6*e - 4', '4*e - 30', '6*e + 8', '3*e + 22', 10, '-10*e + 2', '8*e - 14', '-2*e - 18', '-e + 6', '2*e - 20', '2*e + 8', '-16*e + 24', -8, '3*e - 8', '-6*e + 12', '-6*e + 26', '18*e - 22', '5*e - 6', 1, '-15*e + 6', '16*e - 18', '-19*e + 22', '-9*e - 6', '-6*e + 4', '-8*e + 34', '7*e - 10', '9*e + 2', '8*e + 2', '12*e - 10', '-9*e - 8', '11*e - 8', '-13*e + 28', 'e - 8', '-13*e + 4', '6*e - 20', '-4*e + 16', '2*e + 28', '-6*e + 4', '-3*e - 4', '4*e + 4', '4*e - 14', -16, '4*e - 14', '8*e - 2', '-9*e + 34', '-20*e + 26', '10*e + 2', '-8*e + 10', '4*e - 8', '-5*e + 44', '-6*e - 16', '-8*e - 12', '11*e - 16', '-2*e + 32', '-4*e + 12', '25*e - 24', 24, '6*e - 26', '-4*e - 6', '2*e - 26', '4*e + 26', '-6*e + 36', '-14*e + 14', 16, '-10*e - 4', '-2*e', '10*e - 28', 30, '8*e - 24', 22, '16*e - 42', 'e - 18', 'e + 18', '-12*e + 10', '-6*e - 2', '-22*e + 6', '-2*e + 18', '-8*e + 38', '3*e + 8', '-16*e + 6', '-20*e + 20', '9*e', '-16*e + 28', '-2*e - 12', '18*e + 8', '-2*e + 12', '-2*e + 32', '-3*e + 2', '-6*e - 10', '-6*e - 10', '-2*e + 4', '-10*e + 34', '-8*e + 2', '13*e + 20', '8*e - 18', '8*e - 44', '-22*e + 16', '10*e - 40', '-5*e + 40', '26*e - 22', '2*e + 14', '12*e - 30', '10*e - 22', '-21*e + 30', '2*e - 8', 24, '3*e - 20', '14*e + 20'], 'hecke_polynomial': 'x^2 - 2*x - 2', 'label': '3.3.49.1-433.1-d'}
78. label: 3.3.49.1-448.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1]], 'hecke_eigenvalues': [1, 0, 'e', '-1/4*e^2 + 7', '1/4*e^2 - e - 5', -4, '-e + 4', '1/4*e^2 - 3', '-1/4*e^2 + e + 9', 'e - 4', '-1/4*e^2 + 3', '1/4*e^2 - e - 9', '-1/4*e^2 + 5', 'e - 2', '1/4*e^2 - e - 7', '-1/2*e^2 + e + 12', '1/4*e^2 - 2*e - 5', '1/4*e^2 + e - 7', '-2*e', '1/2*e^2 - 14', '-1/2*e^2 + 2*e + 10', '-1/4*e^2 + e + 5', '1/4*e^2 - 7', '-e', '-1/4*e^2 + 3', 'e - 4', '1/4*e^2 - e - 9', 14, '-1/4*e^2 + 9', 'e + 2', '1/4*e^2 - e - 3', '1/2*e^2 - 22', '-1/2*e^2 + 2*e + 2', '-2*e - 8', '-1/2*e^2 + 10', '1/2*e^2 - 2*e - 14', '2*e - 4', '-1/2*e^2 + 4*e + 16', 'e^2 - 2*e - 18', '-1/2*e^2 - 2*e + 20', '1/2*e^2 - 3*e - 10', '-3/4*e^2 + e + 19', '1/4*e^2 + 2*e - 7', '1/4*e^2 - 2*e - 9', '-1/2*e^2 + e + 8', '1/4*e^2 + e - 11', '-1/2*e^2 + 2', '2*e - 12', '1/2*e^2 - 2*e - 22', '2*e + 4', '-1/2*e^2 + 18', '1/2*e^2 - 2*e - 6', '-e^2 + 2*e + 20', '1/2*e^2 - 4*e - 14', '1/2*e^2 + 2*e - 18', '-1/4*e^2 - e + 1', '1/2*e^2 - e - 18', '-1/4*e^2 + 2*e - 1', '-2*e + 2', '-1/2*e^2 + 2*e + 12', '1/2*e^2 - 12', '1/2*e^2 - 4*e - 22', '-e^2 + 2*e + 12', '1/2*e^2 + 2*e - 26', '1/2*e^2 - e - 26', '-1/4*e^2 + 2*e - 9', '-1/4*e^2 - e - 7', '-e - 4', '1/4*e^2 - 11', '-1/4*e^2 + e + 1', '1/2*e^2 + 2*e - 2', '1/2*e^2 - 4*e + 2', '-e^2 + 2*e + 36', '1/2*e^2 - 30', '-1/2*e^2 + 2*e - 6', '-2*e - 16', '1/4*e^2 + e - 17', '1/4*e^2 - 2*e - 15', '-1/2*e^2 + e + 2', 'e^2 - 5*e - 28', '1/4*e^2 + 4*e - 15', '-5/4*e^2 + e + 25', '-3*e + 20', '3/4*e^2 - 1', '-3/4*e^2 + 3*e + 35', '-1/2*e^2 - e + 30', '-1/4*e^2 + 3*e + 21', '3/4*e^2 - 2*e - 1', '-e + 14', '-1/4*e^2 + e + 19', '1/4*e^2 + 7', '-e^2 + 6*e + 28', '3/2*e^2 - 2*e - 30', '-1/2*e^2 - 4*e + 22', '-1/2*e^2 + 2*e + 30', '1/2*e^2 + 6', '-2*e + 20', 'e^2 - 4*e - 24', '4*e - 4', '-e^2 + 24', '-1/2*e^2 - 2*e + 42', '-1/2*e^2 + 4*e + 38', 'e^2 - 2*e + 4', '-1/4*e^2 - 2*e + 15', '-1/2*e^2 + 3*e + 18', '3/4*e^2 - e - 11', '-1/4*e^2 - 2*e + 23', '3/4*e^2 - e - 3', '-1/2*e^2 + 3*e + 26', 'e^2 + e - 42', '-5/4*e^2 + 4*e + 13', '1/4*e^2 - 5*e - 19', 'e^2 - 16', '-4*e + 12', '-e^2 + 4*e + 32', '1/2*e^2 + e - 28', '-3/4*e^2 + 2*e + 3', '1/4*e^2 - 3*e - 19', '-1/4*e^2 + 2*e - 25', '1/2*e^2 - e - 42', '-1/4*e^2 - e - 23', 'e^2 - 4*e - 14', '-e^2 + 34', '4*e + 6', '1/2*e^2 - 2*e - 14', '2*e - 4', '-1/2*e^2 + 10', '-3/4*e^2 + 8*e + 19', '2*e^2 - 5*e - 42', '-5/4*e^2 - 3*e + 39', '2*e^2 - 5*e - 36', '-5/4*e^2 - 3*e + 45', '-3/4*e^2 + 8*e + 25', '1/4*e^2 + 5*e - 5', '-3/2*e^2 + e + 42', '5/4*e^2 - 6*e - 23', '3/4*e^2 - e - 7', '-1/4*e^2 - 2*e + 19', '-1/2*e^2 + 3*e + 22', '2*e^2 - 44', '-8*e + 12', '-2*e^2 + 8*e + 52', '5/4*e^2 - 6*e - 45', '-3/2*e^2 + e + 20', '1/4*e^2 + 5*e - 27', '-1/2*e^2 - 4*e + 18', '-e^2 + 6*e + 24', '3/2*e^2 - 2*e - 34', '-1/4*e^2 - 4*e + 39', '5/4*e^2 - e - 1', '-e^2 + 5*e + 52', '1/2*e^2 - 2*e + 28', '2*e + 38', '-1/2*e^2 + 52', '9/4*e^2 - 4*e - 53', '-5/4*e^2 + 9*e + 27', '-e^2 - 5*e + 30', '-3/2*e^2 + 3*e + 28', '3/4*e^2 + 3*e - 29', '3/4*e^2 - 6*e - 23', '-e^2 - 6*e + 50', '-3/2*e^2 + 10*e + 52', '5/2*e^2 - 4*e - 40', '3/4*e^2 - 4*e - 33', '-e^2 + e + 8', '1/4*e^2 + 3*e - 25', '-3/2*e^2 + 7*e + 28', '-1/4*e^2 - 6*e + 5', '7/4*e^2 - e - 49'], 'hecke_polynomial': 'x^3 - 2*x^2 - 36*x + 8', 'label': '3.3.49.1-448.1-a'}
79. label: 3.3.49.1-449.1-a
    {'AL_eigenvalues': [['[449, 449, -7*w^2 + 2*w + 8]', -1]], 'hecke_eigenvalues': [4, 1, -2, 6, -6, 2, 2, -6, -8, 4, -10, 12, -4, -4, -6, 8, 0, -6, 0, -16, -10, -8, 6, 18, -8, 6, 4, 6, -8, 8, 16, 12, 4, 20, -20, 18, 2, 26, -6, -22, -18, 0, 0, -12, -12, 14, 4, 0, 0, 6, -8, -24, -4, 30, -18, 6, -2, 2, 6, 10, -30, -4, 24, 16, 26, -18, -24, 30, -14, -16, 34, 8, -14, 28, 4, -30, 20, -2, -2, -14, -22, -34, 1, 8, 6, 32, 32, 26, -8, 40, -40, 12, -18, -8, 8, -16, -26, 2, -22, 20, 20, 28, -28, 46, 44, 28, 0, -30, -22, 20, 16, -34, -16, -32, -36, 20, -28, 30, -8, 26, -22, -50, -22, -6, 52, -40, 20, 12, -16, -6, 10, 14, -32, 10, 32, -22, 22, -18, 30, -12, -20, 32, -28, 32, 20, 0, -6, 40, -10, -34, -4, 2, 46, -6, -20, 18, -32, 52, 24, -32, -2, -38, -2, 26, 6, -24, 40, -16, 46], 'hecke_polynomial': 'x', 'label': '3.3.49.1-449.1-a'}
80. label: 3.3.49.1-449.1-b
    {'AL_eigenvalues': [['[449, 449, -7*w^2 + 2*w + 8]', -1]], 'hecke_eigenvalues': [0, 1, -2, -2, 6, 0, -2, 6, -6, 6, -6, 6, 12, -4, 0, -16, 0, -12, 12, -4, 16, -10, 10, 2, 6, -6, -2, 14, 0, -8, -16, -4, 20, -20, -16, -12, -12, -10, -10, -10, -10, 2, 18, 20, -28, 0, 24, 16, 16, -12, 0, 16, 12, -8, 8, 2, 18, -22, -26, -18, 6, 12, 12, -4, -14, -22, 22, -2, -10, 26, -16, 4, -32, -28, -20, 8, -6, 38, 6, -14, 34, -6, 1, 22, 10, -6, -22, 6, -16, -16, -16, -36, 40, -12, 40, 24, -36, 8, 24, 4, 36, 12, 28, -30, -26, -10, -2, 10, -22, 32, -8, 28, 12, 44, 4, -12, -20, 0, 22, 34, -14, -2, -42, 6, 16, -8, 48, 16, -24, 4, 14, 38, 2, -14, 22, 50, 30, 30, -34, -4, 28, -44, 36, -28, -52, -40, 4, 0, -10, -42, 26, -30, -30, -30, 4, -8, -4, 56, -48, 24, -30, -22, 2, -6, 18, 14, 48, 40, 28], 'hecke_polynomial': 'x', 'label': '3.3.49.1-449.1-b'}
81. label: 3.3.49.1-449.1-c
    {'AL_eigenvalues': [['[449, 449, -7*w^2 + 2*w + 8]', 1]], 'hecke_eigenvalues': [-3, -5, -5, -1, -2, -2, 0, -4, -6, 4, 2, -3, 4, 11, -1, 8, -7, 0, -3, 14, -3, -3, -14, -17, -15, 9, -6, -3, -7, 12, 6, -3, -9, 20, 8, 12, -2, -26, -14, -7, 14, -26, 26, -26, -5, 8, -6, 10, 20, -2, -24, 15, -5, -6, -30, -11, 27, 4, -24, 0, -21, 22, 16, -6, 18, -26, 8, -19, -13, -34, -34, -35, 32, 4, 12, -15, -10, 34, 3, -30, 20, 16, -1, -14, -9, 24, -30, -17, 7, 14, 32, 19, 32, -7, 24, -6, 17, -8, -22, 17, -30, 42, 42, 11, -42, 35, -10, -15, 34, 1, 20, -1, -10, -26, 20, 48, 24, -19, 47, -22, 46, 7, 6, -26, 6, -30, -38, 0, -21, 15, -47, 9, -13, -26, 32, -7, 22, -8, -19, 5, 40, -38, 49, 19, -20, -43, 32, -27, -18, 30, -40, 24, -47, 25, -46, -16, -13, -16, 8, 9, -2, -47, 12, -12, -30, 28, 52, 23, -24], 'hecke_polynomial': 'x', 'label': '3.3.49.1-449.1-c'}
82. label: 3.3.49.1-449.1-d
    {'AL_eigenvalues': [['[449, 449, -7*w^2 + 2*w + 8]', -1]], 'hecke_eigenvalues': ['e', '-2*e + 1', 'e + 2', '-e + 2', 2, -2, '2*e - 6', '2*e - 6', '2*e + 4', -8, '-4*e + 6', '3*e - 4', -4, 'e', '-e + 2', '-4*e', '-3*e - 4', '2*e + 6', '3*e + 4', '-2*e', '-3*e - 2', '-e + 16', -2, 'e + 6', '3*e', '-3*e + 2', '-2*e', '-e + 2', '5*e - 4', 0, '6*e - 8', '-e + 8', '-e - 8', '-4*e + 4', '4*e - 12', '-6*e - 2', 6, '4*e - 6', 10, '-e + 6', -2, '2*e + 12', '2*e - 20', '-6*e - 4', '9*e - 8', '-2*e - 6', '-6*e - 12', '10*e - 8', '-4*e', '-4*e - 14', '-8*e + 8', '7*e - 12', '7*e - 8', '-12*e + 2', '-4*e + 18', '3*e - 6', '-13*e + 2', '-10*e + 10', '-10*e - 2', '6*e - 6', '-7*e + 6', '6*e + 12', 32, '-2*e', '4*e - 22', '4*e + 6', 4, '-5*e - 6', '-e + 6', '-2*e - 20', '-12*e + 14', '-3*e + 4', '-6*e + 22', '4*e - 20', '8*e - 20', '5*e + 2', '6*e + 8', '-4*e - 18', '-5*e - 6', 18, '-6*e + 2', '2*e - 34', 1, '-6*e - 4', '13*e + 2', '12*e + 4', '2*e - 4', '-5*e + 30', 'e - 20', '14*e', 24, '7*e - 24', '-6*e + 10', '9*e + 4', '-8*e - 8', '2*e - 8', '17*e - 10', '-14*e + 22', '-16*e + 6', '5*e + 24', '14*e + 4', '-2*e + 20', '14*e + 12', '11*e - 30', '2*e - 8', '-11*e + 20', '14*e + 4', '3*e - 34', -22, '3*e - 24', '16*e - 16', '-13*e + 6', '2*e + 16', '2*e + 32', -4, -12, '4*e + 12', '13*e - 10', '-11*e - 8', '12*e - 22', '-12*e + 10', '-15*e + 2', '-16*e + 18', '-12*e + 2', '10*e + 4', '2*e + 32', '-2*e + 20', '12*e - 12', '5*e + 20', '-e + 42', 'e + 38', '-17*e + 10', '-15*e + 24', '-20*e + 10', '4*e - 4', '9*e - 18', '-20*e + 6', '10*e - 10', '11*e - 6', '5*e + 40', '16*e - 4', '-14*e', '9*e', '5*e - 4', '-4*e - 44', '11*e - 20', '-6*e + 38', 'e + 20', '-4*e + 6', 30, '-8*e + 8', '18*e - 6', '-5*e + 10', '23*e - 10', '6*e - 12', '10*e + 22', '5*e + 28', '12*e - 4', '8*e - 40', '13*e + 12', '16*e + 6', '-e + 38', '2*e + 14', '-18*e + 18', 14, '-8*e + 4', '16*e - 16', '3*e + 44', '-2*e + 18'], 'hecke_polynomial': 'x^2 - x - 4', 'label': '3.3.49.1-449.1-d'}
83. label: 3.3.49.1-461.1-a
    {'AL_eigenvalues': [['[461, 461, 2*w^2 + 6*w - 7]', -1]], 'hecke_eigenvalues': [-2, 4, 4, -1, -1, -2, 0, 5, -5, -3, -3, 7, -11, 4, 4, -3, 7, 12, -16, -16, 4, 8, -2, -7, -6, -6, 9, -9, 8, -2, 13, 5, 10, 0, 8, -12, -2, 7, -8, 2, -22, -12, 18, -3, -13, 22, 9, -1, -16, 0, 30, -25, 27, -28, -18, -28, 17, 12, -6, 9, -21, -2, -12, -17, 3, -2, -2, -10, -20, 20, 15, -10, 0, -20, 30, 20, 2, -8, 22, -16, 19, 14, -30, -5, -10, 1, 2, 22, -6, -26, -6, 27, 12, 27, -41, -11, -36, 18, 3, -37, 18, 28, 23, 27, 2, 42, 8, 18, 8, -8, 32, -48, -31, -46, 9, 0, 15, 0, 34, -46, 44, 12, 2, 22, 8, -2, 18, 54, 24, 39, -52, 18, 13, 40, -10, -30, -27, 3, -42, -28, 7, 32, 28, 8, -12, 45, -25, 50, 9, -26, -41, -8, -58, 32, -11, 24, 19, 37, 2, 37, -12, -7, 33, 34, -6, -16, -22, -32, 23], 'hecke_polynomial': 'x', 'label': '3.3.49.1-461.1-a'}
84. label: 3.3.49.1-461.1-b
    {'AL_eigenvalues': [['[461, 461, 2*w^2 + 6*w - 7]', 1]], 'hecke_eigenvalues': [-4, -4, -2, -5, -1, 8, -4, 1, -5, 5, -3, -9, 1, -8, 0, -7, 3, 6, 14, -12, 14, -14, 8, 13, -18, -4, -3, -17, 8, -4, -3, 13, -6, 8, 0, -2, -2, -25, 18, 0, 12, 14, 14, -23, 23, -20, -23, -9, 8, -16, 2, 15, 15, -4, -10, -20, 9, -22, -12, -11, 31, 26, 20, 19, -13, -30, -12, -16, 14, 10, -17, -34, 4, -18, 4, -20, 10, 10, -38, -20, -1, -34, 6, -21, 30, -1, 40, -14, 22, -24, -34, -25, -16, 11, -9, -11, 36, 8, 43, -33, 6, 24, 27, -29, 10, -10, -8, -6, 32, 14, 8, 48, 21, 40, -43, 8, -37, -34, -38, 0, 26, 36, 36, 18, 16, -32, 46, -10, -16, -9, -28, -4, 49, -40, -2, 50, 25, 7, -34, 14, -25, -2, -10, 48, 12, -27, -25, 0, -7, 4, -33, -22, -50, -36, -35, 32, 7, 41, -40, -19, 30, 13, 29, -46, -48, -18, 20, -22, 31], 'hecke_polynomial': 'x', 'label': '3.3.49.1-461.1-b'}
85. label: 3.3.49.1-461.1-c
    {'AL_eigenvalues': [['[461, 461, 2*w^2 + 6*w - 7]', -1]], 'hecke_eigenvalues': ['e', 'e^3 - 4*e^2 + 6', '-2*e^2 + 6*e + 2', '-2*e^3 + 10*e^2 - 6*e - 14', '-2*e^3 + 10*e^2 - 6*e - 14', 'e^3 - 6*e^2 + 3*e + 14', 'e^3 - 6*e^2 + 3*e + 16', '2*e^2 - 6*e - 4', '4*e^3 - 19*e^2 + 8*e + 31', '2*e^3 - 9*e^2 + 6*e + 6', '2*e^2 - 4*e - 8', -4, '4*e^3 - 20*e^2 + 8*e + 40', '2*e^3 - 11*e^2 + 6*e + 21', '-2*e^3 + 7*e^2 + 4*e - 10', '-4*e^3 + 17*e^2 - 26', '-4*e^3 + 20*e^2 - 12*e - 30', '2*e^2 - 6*e - 8', '-2*e^3 + 12*e^2 - 6*e - 26', '3*e^3 - 16*e^2 + 5*e + 38', '2*e^2 - 4*e - 12', '6*e^3 - 28*e^2 + 7*e + 50', '-6*e^3 + 30*e^2 - 16*e - 48', '2*e^3 - 9*e^2 + 4*e + 9', '-7*e^3 + 32*e^2 - 13*e - 40', '-e^3 + 4*e^2 + e - 6', '2*e^3 - 7*e^2 - 2', '-4*e^3 + 17*e^2 - 2*e - 25', '-6*e^3 + 26*e^2 - 4*e - 42', '-10*e^3 + 50*e^2 - 28*e - 74', '-2*e^3 + 7*e^2 - 9', '-4*e^3 + 19*e^2 - 6*e - 38', '-2*e^2 + 11*e - 4', '-2*e^3 + 12*e^2 - 18*e - 12', '2*e^3 - 14*e^2 + 14*e + 20', '-e^3 + 17*e - 8', '4*e^3 - 16*e^2 - e + 26', '4*e^3 - 17*e^2 + 2*e + 34', '2*e^3 - 12*e^2 + 12*e + 14', '-4*e^3 + 16*e^2 + 6*e - 38', '-2*e^3 + 14*e^2 - 15*e - 14', '4*e^2 - 12*e - 8', '2*e^3 - 4*e^2 - 7*e - 8', '-4*e^3 + 18*e^2 - 8*e - 24', '4*e^3 - 25*e^2 + 26*e + 39', '-4*e^3 + 24*e^2 - 20*e - 36', '6*e^3 - 27*e^2 + 10*e + 42', '-8*e^3 + 40*e^2 - 18*e - 74', 'e^2 - 6*e + 1', '8*e^3 - 36*e^2 + 14*e + 38', '4*e^3 - 14*e^2 + 8', '12*e^3 - 60*e^2 + 36*e + 86', '4*e^3 - 26*e^2 + 26*e + 28', '-6*e^3 + 32*e^2 - 10*e - 70', '4*e^3 - 14*e^2 - 12*e + 24', '6*e^3 - 32*e^2 + 14*e + 66', '4*e^3 - 26*e^2 + 30*e + 26', '-2*e^3 + 14*e^2 - 8*e - 32', '-8*e^3 + 38*e^2 - 18*e - 60', '6*e^3 - 19*e^2 - 18*e + 31', '4*e^3 - 23*e^2 + 14*e + 43', '-2*e^3 + 10*e^2 - 12*e + 6', '4*e^3 - 17*e^2 - 4*e + 47', '-8*e^3 + 44*e^2 - 34*e - 72', '-4*e^3 + 16*e^2 + 2*e - 34', '4*e^3 - 24*e^2 + 20*e + 34', '8*e^3 - 42*e^2 + 30*e + 70', '6*e - 20', '2*e^3 - 14*e^2 + 19*e + 24', '-3*e^3 + 6*e^2 + 15*e + 2', '2*e^3 - 14*e^2 + 24*e + 14', '-8*e^3 + 44*e^2 - 31*e - 70', '4*e^2 - 18*e - 8', '-14*e^3 + 68*e^2 - 30*e - 112', '8*e^3 - 42*e^2 + 37*e + 50', '12*e^3 - 56*e^2 + 22*e + 76', '-12*e^3 + 62*e^2 - 38*e - 88', '3*e^3 - 18*e^2 + 13*e + 26', '-6*e^3 + 22*e^2 + 11*e - 26', '-14*e^3 + 66*e^2 - 24*e - 110', '10*e^3 - 46*e^2 + 16*e + 62', '2*e^3 - 12*e^2 + 12*e + 36', '6*e^3 - 32*e^2 + 24*e + 62', '4*e^3 - 14*e^2 - 4*e + 20', '-2*e^3 + 8*e^2 - 8*e + 14', 1, '13*e^3 - 60*e^2 + 23*e + 84', '-6*e^3 + 28*e^2 - 16*e - 16', '-8*e + 22', '-4*e^3 + 26*e^2 - 18*e - 66', '2*e^2 - 13*e + 26', '4*e^3 - 26*e^2 + 18*e + 56', '6*e^3 - 34*e^2 + 22*e + 64', '8*e^3 - 32*e^2 + 54', '-2*e^3 + 14*e^2 - 18*e - 6', '-8*e^3 + 39*e^2 - 22*e - 66', '2*e^3 - 6*e^2 + 2*e - 14', '-7*e^3 + 32*e^2 - 9*e - 52', '14*e^3 - 64*e^2 + 14*e + 124', '6*e^3 - 34*e^2 + 36*e + 54', '12*e^3 - 62*e^2 + 38*e + 86', '12*e^3 - 60*e^2 + 32*e + 98', '-8*e^2 + 18*e + 36', '-2*e^2 + 6*e - 8', '-2*e^3 + 15*e^2 - 12*e - 43', '13*e^3 - 58*e^2 + 23*e + 50', '-10*e^3 + 46*e^2 - 16*e - 68', '-22*e^3 + 107*e^2 - 52*e - 162', '-2*e^3 + 6*e^2 + 5*e + 22', '-4*e^3 + 22*e^2 - 18*e - 10', '7*e^3 - 42*e^2 + 41*e + 52', '-6*e^3 + 18*e^2 + 24*e - 32', '6*e^3 - 37*e^2 + 32*e + 75', '8*e^3 - 38*e^2 + 16*e + 48', '5*e^2 - 10*e + 13', '-10*e^3 + 54*e^2 - 38*e - 86', '-6*e^3 + 36*e^2 - 24*e - 82', '6*e^3 - 22*e^2 - 4*e + 40', '-2*e^3 + 16*e + 6', '-14*e^3 + 58*e^2 - 11*e - 60', '2*e^3 - 6*e^2 - 12*e + 38', '2*e^3 + 4*e^2 - 38*e + 2', '-20*e^3 + 90*e^2 - 26*e - 130', '-4*e^3 + 18*e^2 - 2*e - 42', '10*e^3 - 33*e^2 - 24*e + 51', '8*e^3 - 38*e^2 + 22*e + 38', '-4*e^3 + 22*e^2 - 16*e - 68', '12*e^3 - 62*e^2 + 52*e + 84', '4*e^3 - 23*e^2 + 22*e + 38', '-20*e^3 + 100*e^2 - 52*e - 152', '-6*e^3 + 22*e^2 + 11*e - 12', '-10*e^3 + 42*e^2 - 76', '-4*e^3 + 14*e^2 + 24', '-14*e^3 + 62*e^2 - 16*e - 88', '4*e^3 - 18*e^2 - 6*e + 60', '8*e^3 - 36*e^2 + 6*e + 80', '14*e^3 - 64*e^2 + 10*e + 130', '10*e^3 - 50*e^2 + 32*e + 94', '22*e^3 - 107*e^2 + 58*e + 150', '-3*e^3 + 26*e^2 - 37*e - 32', '12*e^3 - 61*e^2 + 36*e + 78', '-10*e^3 + 44*e^2 - 8*e - 86', '12*e^3 - 58*e^2 + 19*e + 130', '14*e^3 - 66*e^2 + 20*e + 116', '-14*e^3 + 75*e^2 - 66*e - 94', '-14*e^3 + 61*e^2 - 6*e - 103', '-6*e^3 + 29*e^2 - 6*e - 58', '12*e^3 - 58*e^2 + 29*e + 62', '-16*e^3 + 72*e^2 - 30*e - 60', '10*e^3 - 44*e^2 - 3*e + 92', '6*e^3 - 37*e^2 + 40*e + 37', '8*e^3 - 34*e^2 - 4*e + 52', '13*e^2 - 26*e - 41', '-4*e^3 + 24*e^2 - 32*e - 6', '-6*e^3 + 28*e^2 - 4*e - 58', '16*e^3 - 69*e^2 + 8*e + 103', '4*e^3 - 17*e^2 + 2*e + 46', '-8*e^3 + 36*e^2 - 12*e - 52', '2*e^3 - 10*e^2 + 10*e + 34', '-16*e^3 + 78*e^2 - 38*e - 138', '-24*e^3 + 110*e^2 - 30*e - 198', '4*e^2 - 20*e + 14', '10*e^3 - 51*e^2 + 18*e + 111', '-22*e^3 + 112*e^2 - 75*e - 146', '-2*e^3 + 14*e^2 - 17*e - 24', '12*e^2 - 32*e - 18', '-20*e^3 + 102*e^2 - 48*e - 180', 'e^3 - 4*e^2 + 3*e - 2', '-20*e^3 + 97*e^2 - 48*e - 159'], 'hecke_polynomial': 'x^4 - 8*x^3 + 17*x^2 + 2*x - 23', 'label': '3.3.49.1-461.1-c'}
86. label: 3.3.49.1-463.1-a
    {'AL_eigenvalues': [['[463, 463, -7*w^2 + 8*w + 12]', 1]], 'hecke_eigenvalues': [-4, -3, -2, -6, -2, -8, 10, -6, -2, 10, 2, -10, 4, 4, 4, 8, 8, -8, -12, -16, -12, 10, 6, -14, -14, -6, 2, 6, 4, -8, 8, 20, 0, -4, -4, -12, 0, 14, 22, -10, 2, 6, -22, 8, -20, -4, 24, -24, -24, -20, 12, 24, 20, -8, 24, -22, 30, 6, 22, 6, 14, 12, 12, -16, -22, -34, -6, -2, 14, -22, -20, -4, -16, -28, 4, -20, -26, 2, -26, -14, 30, -2, -30, -6, -30, -18, -30, -18, -1, -32, -16, 12, 20, 8, -4, -24, -8, 32, 4, 32, -4, -4, 28, -22, -38, 46, 14, 42, 22, 24, -12, 24, -20, -20, 12, 12, 12, -20, 26, 34, 26, -34, -18, -10, -16, 0, 4, -4, 0, -24, 6, 22, 2, -30, 2, -14, -26, 2, 30, 40, 4, 52, -48, -12, 12, 32, 40, -16, -10, -14, -26, 42, 58, -30, 52, -4, -44, 0, 16, 12, -54, 2, 42, -54, 18, -38, 8, -4, 56], 'hecke_polynomial': 'x', 'label': '3.3.49.1-463.1-a'}
87. label: 3.3.49.1-463.1-b
    {'AL_eigenvalues': [['[463, 463, -7*w^2 + 8*w + 12]', -1]], 'hecke_eigenvalues': ['e', '1/2*e^3 + 1/2*e^2 - 8*e + 5', '-1/2*e^3 - e^2 + 6*e', '3/4*e^3 + e^2 - 11*e + 6', '-1/2*e^3 - 1/2*e^2 + 8*e - 4', 'e^3 + e^2 - 15*e + 12', '5/4*e^3 + 2*e^2 - 16*e + 6', '-2*e^3 - 2*e^2 + 29*e - 18', '-3/2*e^3 - e^2 + 22*e - 18', '-1/2*e^3 + 8*e - 8', '-1/2*e^3 - e^2 + 4*e', '-3/2*e^3 - e^2 + 23*e - 14', '2*e^3 + e^2 - 32*e + 26', '-3/2*e^3 - e^2 + 24*e - 20', '-3/4*e^3 - 2*e^2 + 9*e', 'e^3 + 1/2*e^2 - 16*e + 8', '5/2*e^3 + 2*e^2 - 36*e + 30', '1/4*e^3 - 2*e + 4', -4, '1/4*e^3 + e^2 - 2*e - 4', '11/4*e^3 + 2*e^2 - 43*e + 36', '-e^2 + 8', '-3/4*e^3 + e^2 + 17*e - 26', '5/4*e^3 + 3*e^2 - 15*e + 2', '-3/2*e^3 - 7/2*e^2 + 20*e', '5/2*e^3 + 3*e^2 - 38*e + 24', '-3*e^3 - 3*e^2 + 44*e - 28', '1/2*e^3 - e^2 - 10*e + 14', '-3/4*e^3 - e^2 + 7*e - 8', '1/2*e^2 + 2*e - 8', '-3/2*e^3 - e^2 + 22*e - 30', '1/2*e^3 + e^2 - 6*e', '-11/4*e^3 - e^2 + 47*e - 40', '13/4*e^3 + 2*e^2 - 52*e + 40', '-5/2*e^3 - 4*e^2 + 33*e - 12', 'e^3 - 17*e + 12', '3*e^3 + 9/2*e^2 - 42*e + 22', '2*e^2 + 4*e - 22', '7/2*e^3 + 7/2*e^2 - 52*e + 34', '3/2*e^3 + e^2 - 24*e + 26', '-1/4*e^3 + 8*e - 2', '19/4*e^3 + 4*e^2 - 70*e + 50', '-3/2*e^3 + 25*e - 26', '-1/4*e^3 + e^2 + 4*e - 20', '5*e^3 + 5*e^2 - 70*e + 48', 'e^3 + e^2 - 16*e + 6', '-7/2*e^3 - 5*e^2 + 44*e - 18', '-5/2*e^3 - 3*e^2 + 32*e - 12', '4*e^3 + 2*e^2 - 64*e + 56', '-1/2*e^3 + 2*e^2 + 17*e - 32', '-5*e^3 - 5*e^2 + 73*e - 60', '3*e^3 + 4*e^2 - 46*e + 26', '-e^3 - 5/2*e^2 + 14*e - 2', '-9/2*e^3 - 5*e^2 + 67*e - 36', '-3*e^3 - 3*e^2 + 47*e - 24', '1/4*e^3 - 2*e^2 - 12*e + 26', '13/4*e^3 + 2*e^2 - 50*e + 34', '5/2*e^3 + e^2 - 41*e + 14', '-7/2*e^3 - 2*e^2 + 56*e - 38', '-11/2*e^3 - 13/2*e^2 + 84*e - 50', '3*e^3 + 4*e^2 - 36*e + 22', '2*e^3 + 2*e^2 - 34*e + 22', '3*e^3 + 3*e^2 - 42*e + 38', '1/4*e^3 - e^2 - 10*e + 16', '-5/2*e^3 - 4*e^2 + 38*e - 14', 'e^3 + 2*e^2 - 11*e + 6', '-3/4*e^3 - e^2 + 5*e - 2', '9/2*e^3 + 4*e^2 - 62*e + 46', '-3*e^3 - 3*e^2 + 40*e - 46', '9/2*e^3 + 3*e^2 - 67*e + 62', '-3*e^3 - 2*e^2 + 48*e - 34', '2*e^3 + 5/2*e^2 - 32*e + 2', '-2*e^3 + e^2 + 35*e - 40', 'e^3 + 3*e^2 - 12*e + 10', '-1/2*e^3 - 5*e^2 + 2*e + 34', '-8*e^3 - 8*e^2 + 112*e - 70', '-e^2 - 8*e', '-4*e^3 - 3*e^2 + 69*e - 46', '5*e^3 + 7*e^2 - 72*e + 36', '15/4*e^3 + 7*e^2 - 45*e + 10', '-9/4*e^3 - 2*e^2 + 26*e - 34', '-1/2*e^3 + 3*e^2 + 11*e - 30', '-4*e^3 - 4*e^2 + 64*e - 46', '17/2*e^3 + 21/2*e^2 - 122*e + 76', '2*e^3 + e^2 - 32*e + 14', '-3*e^3 - 6*e^2 + 36*e + 4', '2*e^3 + 4*e^2 - 19*e - 6', '-6*e^3 - 5*e^2 + 88*e - 62', 1, '-2*e^2 - 6*e + 24', '-e^3 - e^2 + 10*e - 8', '3*e^3 + 3/2*e^2 - 52*e + 46', '-3*e^3 - 15/2*e^2 + 34*e + 14', '6*e^3 + 6*e^2 - 81*e + 60', '3/4*e^3 - e^2 - 11*e + 8', '-2*e^3 - 5/2*e^2 + 36*e - 8', '4*e^3 + 8*e^2 - 54*e + 4', '-1/2*e^3 + 9*e - 16', '4*e^3 + 11/2*e^2 - 60*e + 14', '-7*e^3 - 3*e^2 + 113*e - 100', '-8*e^3 - 7*e^2 + 120*e - 74', '2*e^3 + e^2 - 28*e + 32', '13/2*e^3 + 5*e^2 - 108*e + 70', '10*e^3 + 8*e^2 - 160*e + 122', '-19/4*e^3 - 4*e^2 + 78*e - 62', '3/2*e^3 + 2*e^2 - 17*e + 18', '-1/2*e^3 + 2*e^2 + 11*e - 2', 'e^2 + 4*e - 6', '-47/4*e^3 - 9*e^2 + 181*e - 134', 'e^3 + e^2 - 16*e + 30', '-23/4*e^3 - 7*e^2 + 75*e - 52', '-3/4*e^3 + 20*e - 24', '33/4*e^3 + 8*e^2 - 120*e + 80', '4*e^3 + 2*e^2 - 60*e + 70', 'e^3 - 3/2*e^2 - 26*e + 40', '-5*e^3 - 7*e^2 + 72*e - 32', '1/2*e^3 + e^2 - 2*e + 4', '-11/4*e^3 - 6*e^2 + 26*e', '-7*e^3 - 6*e^2 + 102*e - 90', '3*e^3 + 4*e^2 - 48*e + 14', '-21/4*e^3 - 4*e^2 + 74*e - 54', '-6*e^3 - 3*e^2 + 102*e - 84', '-5/2*e^3 - 9/2*e^2 + 36*e + 2', '-6*e^3 - 4*e^2 + 92*e - 50', '-25/4*e^3 - 2*e^2 + 113*e - 104', '-10*e^3 - 8*e^2 + 150*e - 98', '-15/4*e^3 - 7*e^2 + 52*e - 4', '27/4*e^3 + 5*e^2 - 103*e + 80', '5*e^3 + 8*e^2 - 62*e + 16', '-11/2*e^3 - 7*e^2 + 76*e - 32', '-3*e^3 - 4*e^2 + 40*e - 36', '3*e^2 + 2*e - 22', '-1/2*e^3 + 2*e^2 + 9*e - 22', '-9*e^3 - 10*e^2 + 132*e - 98', '3*e^3 + 4*e^2 - 36*e + 14', '3*e^3 + 6*e^2 - 38*e + 12', 'e^2 + 8', '-3/4*e^3 - 5*e^2 + 9*e + 22', '-17/4*e^3 - 2*e^2 + 76*e - 58', '27/4*e^3 + 7*e^2 - 94*e + 80', 'e^3 + 3*e^2 - 6*e - 20', '1/2*e^3 - 2*e^2 - 20*e + 30', '37/4*e^3 + 11*e^2 - 123*e + 68', '11*e^3 + 21/2*e^2 - 166*e + 120', '15/4*e^3 + 6*e^2 - 57*e + 36', '-7/2*e^3 - 6*e^2 + 54*e - 12', '41/4*e^3 + 12*e^2 - 154*e + 104', '-e^3 + 22*e + 10', '-2*e^3 - 3*e^2 + 22*e + 24', '13/2*e^3 + 6*e^2 - 93*e + 86', '17/2*e^3 + 10*e^2 - 118*e + 62', '7*e^3 + 7*e^2 - 96*e + 82', '-23/2*e^3 - 12*e^2 + 158*e - 106', 'e^3 - 5*e^2 - 32*e + 66', '5/2*e^3 - 5*e^2 - 50*e + 82', '3/4*e^3 - 16*e + 12', '-6*e^3 - 15/2*e^2 + 92*e - 40', '-1/2*e^3 - 2*e^2 + 2*e + 4', '15/4*e^3 + 8*e^2 - 49*e + 16', '31/4*e^3 + 7*e^2 - 112*e + 76', '5/2*e^3 - 1/2*e^2 - 44*e + 42', '7*e^3 + 8*e^2 - 110*e + 54', '-19/2*e^3 - 21/2*e^2 + 136*e - 114', '-2*e^3 - 7*e^2 + 26*e + 40', '23/2*e^3 + 11*e^2 - 176*e + 126', '25/4*e^3 + 12*e^2 - 82*e + 18', '27/2*e^3 + 10*e^2 - 216*e + 160', '7/4*e^3 + 3*e^2 - 32*e + 4', '-23/4*e^3 - 4*e^2 + 85*e - 76'], 'hecke_polynomial': 'x^4 - 16*x^2 + 24*x - 8', 'label': '3.3.49.1-463.1-b'}
88. label: 3.3.49.1-491.1-a
    {'AL_eigenvalues': [['[491, 491, w^2 + 2*w - 11]', -1]], 'hecke_eigenvalues': [3, -1, 4, -1, -6, 8, 5, 0, 5, 12, -8, -3, -11, -6, -1, -8, 2, 2, -1, 9, 4, 8, 8, -7, -16, -6, -6, -9, 18, -7, -17, 5, 0, 20, -12, -12, -2, -18, 12, 7, -2, -2, 3, -8, -28, -8, 9, -21, 4, 15, 0, 15, 17, 2, 2, 27, -18, -33, 9, -6, -21, -12, 23, -12, -22, 3, -32, -10, -10, -20, 15, -10, 20, 0, 40, 0, 2, 17, 37, 34, 19, -6, -40, 30, -30, 17, -8, 32, 4, 19, 29, 1, -8, 12, -16, -11, 19, 38, 28, 13, -12, 28, -27, 22, 42, -38, -37, 23, 3, -8, 12, 2, 14, -46, 34, -30, -15, -5, -6, 34, 44, -23, 7, -38, 23, -37, -7, -16, 54, -16, -42, -7, 38, -5, -15, 50, 18, -22, -42, -48, 12, 7, 23, -22, 8, -20, 15, -40, 9, 29, 4, -58, 37, 2, 24, 34, -1, -8, -23, 32, 43, 28, 33, -21, -31, 59, 48, -52, -17], 'hecke_polynomial': 'x', 'label': '3.3.49.1-491.1-a'}
89. label: 3.3.49.1-491.1-b
    {'AL_eigenvalues': [['[491, 491, w^2 + 2*w - 11]', -1]], 'hecke_eigenvalues': [0, -4, 4, 2, 3, -1, 2, -3, 2, -12, -2, 12, 4, 6, 11, -14, -7, 2, -7, -6, 4, -13, 11, -13, 14, 18, -9, 9, 0, -7, 13, -19, 15, -4, 12, 3, -8, 0, 6, 10, -11, -20, -12, -5, -16, 22, -3, -24, -14, -6, -15, -6, -16, 8, -13, -27, 15, -30, 9, -9, 9, 33, 29, 0, -22, 12, -26, -10, 2, 34, -36, 35, -4, -36, -17, -24, -28, -10, -8, -2, 28, -6, 5, 12, -27, -1, 1, -1, -20, 7, 14, 1, 7, 30, 32, 16, 28, -13, -14, 28, -30, -8, 18, 25, 39, 10, 8, 11, 6, 25, -15, 2, 14, -19, -32, -6, 12, 28, 6, -5, 8, 10, 1, 13, 35, 32, 20, -19, -48, -1, 48, -10, 29, -26, -51, -7, 54, 44, 51, -51, 21, 13, 8, 56, 14, 22, -33, -4, 0, -16, 16, 8, 31, -7, -39, -44, 20, -20, 40, 47, -14, 58, -15, -54, -34, 17, -18, 17, -8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-491.1-b'}
90. label: 3.3.49.1-491.1-c
    {'AL_eigenvalues': [['[491, 491, w^2 + 2*w - 11]', 1]], 'hecke_eigenvalues': [-3, -3, -4, -7, -2, 4, 3, 0, -7, 0, 4, -9, 7, -2, 7, 4, -14, 10, 3, 3, -16, -8, 0, 13, 12, -18, 10, 7, 2, 13, -17, 1, -8, -12, 12, 8, -22, -18, -24, -1, 14, -18, -7, 4, -12, -4, 9, -15, 4, -15, -16, 9, 7, 18, -2, 15, -22, 29, 1, -22, 3, -20, 15, -4, 30, -15, 8, 2, 18, 12, 1, -30, 20, -12, 0, -16, -22, 19, 3, 2, -19, -26, 24, -30, -22, -19, 0, 0, -4, 11, -25, -1, 0, 12, 40, 1, -13, 22, 12, 27, -4, -24, -25, 30, 34, 6, 41, 3, -35, -48, 8, 10, 34, -18, 6, -34, -45, -45, 6, 46, 8, -39, -33, 18, -33, 23, -53, 48, -2, 40, -22, 13, -26, 49, -27, -34, -6, 54, 30, 20, -36, 55, -3, -10, -56, 36, -25, -40, -9, -41, 44, 42, -35, -6, 16, -10, -29, -44, -15, 48, -45, 52, -47, 57, 55, 39, -40, 36, -9], 'hecke_polynomial': 'x', 'label': '3.3.49.1-491.1-c'}
91. label: 3.3.49.1-491.1-d
    {'AL_eigenvalues': [['[491, 491, w^2 + 2*w - 11]', -1]], 'hecke_eigenvalues': ['e', 2, '-1/2*e^2 + 4', '1/2*e^2 - 4', '-1/4*e^2 - 1/2*e + 6', '1/2*e^2 - 1/2*e - 7', '-e - 4', '-3/4*e^2 - e + 9', '1/2*e^2 - 2*e - 7', 0, '-e + 1', 0, 'e^2 + e - 14', 'e - 6', '-1/2*e - 1', '-1/2*e^2 + 2*e + 4', '-3/4*e^2 - 3*e + 11', 2, '-3/4*e^2 + 2*e + 11', 'e^2 - 3*e - 12', '1/2*e^2 - 2*e - 2', '-3/2*e^2 - 1/2*e + 23', '-3/4*e^2 + 2*e + 11', '-1/4*e^2 - 2*e + 11', '3/2*e^2 + e - 25', '3/2*e^2 + e - 18', '-7/4*e^2 + 1/2*e + 12', '1/4*e^2 + 3/2*e', '-1/2*e^2 + 2*e - 3', '-e^2 + 7/2*e + 17', '-9/4*e^2 + e + 19', '7/4*e^2 - 3/2*e - 16', '1/2*e^2 + 5/2*e - 3', '-e - 13', '1/2*e^2 + 3*e', '-3/4*e^2 + 2*e - 3', '2*e^2 - 23', '-1/2*e^2 + 18', '-3/2*e^2 + 2*e + 24', 'e^2 + 2*e - 17', '-1/4*e^2 + 1/2*e - 14', '-e^2 + 2*e + 22', '1/2*e^2 + 4*e - 6', '-5/4*e^2 + 1/2*e + 22', '-1/2*e^2 - 3*e + 23', '1/2*e^2 - 3*e - 20', '5/4*e^2 + 1/2*e', '1/2*e^2 + 3*e', '-e^2 + 5*e + 10', '2*e^2 + 2*e - 30', '7/4*e^2 - 5/2*e - 6', 'e - 6', '5/2*e^2 + e - 28', '-e^2 - 2*e + 17', '1/4*e^2 + 9/2*e - 10', '5/2*e + 3', '1/2*e^2 - 3/2*e + 3', '-3/2*e^2 - 2*e + 30', '3/4*e^2 - 5*e - 15', '-7/4*e^2 + e + 27', '-e^2 + 3/2*e + 3', '-e^2 - 5/2*e + 21', '-11/4*e^2 + 1/2*e + 32', '-7*e', '-1/2*e^2 + 3*e - 4', '1/2*e^2 + 5*e', '5/2*e^2 + e - 26', '-5/2*e^2 - 3*e + 44', '7/2*e^2 - e - 34', '-1/2*e^2 + 5*e + 13', '2*e^2 + 3*e - 24', '5/4*e^2 + 2*e - 31', '3/2*e^2 + 2*e - 40', '1/2*e^2 + 8*e - 12', '7/2*e^2 - 7/2*e - 35', '1/2*e^2 + 2*e - 6', '-3/2*e^2 + 3*e + 32', '5/2*e^2 - 5*e - 34', '5/2*e^2 - e - 38', '1/2*e^2 + 4*e - 8', '-e^2 + 4*e + 4', '-2*e^2 + 2*e', '7/4*e^2 - 15/2*e - 22', '-e^2 + e - 12', '2*e^2 - 7/2*e - 21', '-17/2*e + 5', '-7/2*e^2 - 7/2*e + 49', '-3/2*e^2 - 11/2*e + 35', '-e^2 - 5*e + 22', '1/4*e^2 - e + 1', '-2*e^2 + 3*e + 8', 1, '-7/4*e^2 + 9/2*e + 22', '-2*e^2 - 4*e + 36', '-3/2*e^2 - 4*e + 23', '-3/2*e^2 - e + 13', '3*e - 17', '5/4*e^2 - 8*e - 7', '1/2*e^2 - 2', '-3*e - 2', '-5/2*e^2 + 3*e + 24', '5*e + 16', '-e^2 - 3*e + 18', '3/4*e^2 + 13/2*e - 2', '7/4*e^2 - 2*e - 33', '-5/2*e^2 - e + 28', '7/2*e^2 - 7*e - 40', '-3/4*e^2 - 11/2*e - 4', '1/2*e^2 - 4*e - 12', '5/4*e^2 + 2*e - 17', '-7/4*e^2 - 1/2*e + 6', '-3*e^2 + 6*e + 20', '-1/2*e^2 + 7*e - 10', '-1/2*e^2 + 3/2*e - 1', '-5/2*e^2 + 6*e + 28', '1/2*e^2 + e - 24', '-11*e + 6', '-e^2 + e + 37', '-7/2*e^2 + 2*e + 42', '1/2*e^2 + 9/2*e - 17', '-5/2*e^2 + 3*e + 26', '-e^2 + 8*e - 5', '1/4*e^2 - 5/2*e - 8', '-17/2*e + 7', '1/4*e^2 + e - 31', '-2*e - 40', 'e^2 + 5*e + 8', '-5/2*e^2 - 9/2*e + 23', '-3*e^2 + 11*e + 36', '7/4*e^2 - 9/2*e - 4', '-7/2*e^2 + 3*e + 48', '-2*e - 10', '3/2*e^2 + 5/2*e + 5', 'e^2 - 4*e - 32', '-13/4*e^2 - 9/2*e + 48', '-5/4*e^2 - 7/2*e + 38', '-5/2*e^2 + 3*e + 45', '-3/2*e^2 - 2*e + 14', '-2*e^2 + 11/2*e + 21', '13/4*e^2 + 11/2*e - 42', '13/4*e^2 - 33', '-3*e^2 - 11/2*e + 61', '2*e^2 + e - 22', '-3/2*e^2 + e + 20', '3/2*e^2 + 6*e - 16', '1/2*e^2 - 6*e - 26', '7/4*e^2 - 1/2*e - 24', '-2*e^2 - 4*e + 20', '-4*e^2 + 6*e + 54', '-2*e^2 + 8*e + 8', '5/2*e^2 + e - 14', '2*e^2 - 16', '7/4*e^2 - 19/2*e - 8', '9/4*e^2 + 3/2*e - 16', '9/4*e^2 - 21/2*e - 30', '-1/2*e^2 - 4*e + 10', '-3/2*e^2 - e + 29', '2*e^2 - 11*e - 38', '-4*e - 8', '3/4*e^2 + 5*e + 5', '4*e^2 - 2*e - 23', '3*e^2 - 2*e - 8', '-2*e^2 - 25/2*e + 39', '-6*e - 6', '5/2*e^2 - 2*e - 16', '1/2*e - 37', '1/2*e^2 - 30', '5/4*e^2 - 9/2*e + 14', '-3*e^2 - 5*e + 31'], 'hecke_polynomial': 'x^3 - 2*x^2 - 16*x + 24', 'label': '3.3.49.1-491.1-d'}
92. label: 3.3.49.1-497.1-a
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[71, 71, 3*w^2 - 4*w - 5]', 1]], 'hecke_eigenvalues': [1, -3, 2, 2, 2, -8, 6, -6, 6, -6, 6, 6, -4, 8, 8, 12, -1, -12, 12, -12, -12, -10, -10, -10, -6, 18, -6, -18, 8, 20, -16, -4, -16, 20, 0, -24, -12, 14, 2, -10, -6, 6, 6, -4, 8, 8, 8, -16, -16, 24, 24, -24, 24, -12, 12, -6, 6, -18, -18, -6, -6, 20, -4, 20, 2, -22, -22, -10, 26, 2, 20, 20, -28, 12, -24, 12, -10, -10, -22, 26, 38, -34, 6, 6, -30, -18, 42, 18, -16, -4, 32, 12, 12, -36, -24, 24, -24, 20, -4, 20, -12, 12, 36, -10, -10, -10, -18, 18, 18, 20, 8, 20, -4, 8, -4, 0, -36, 12, -22, -10, 2, -42, -18, -18, -16, -16, 44, 0, -12, 0, 38, 38, 50, 14, 50, 14, -30, -30, -18, -28, 44, -52, 12, 0, 12, -24, -48, -12, 26, -22, 38, -42, -42, -30, 44, 32, 20, -24, -12, 0, 2, 2, 38, -18, -18, -54, 32, 8, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-497.1-a'}
93. label: 3.3.49.1-497.1-b
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[71, 71, 3*w^2 - 4*w - 5]', -1]], 'hecke_eigenvalues': [-1, -1, 4, -2, 6, 2, 2, 2, -6, 2, -2, -4, -8, 0, 4, -4, 1, 4, 4, 16, -2, 16, 12, -16, 2, -6, -14, 6, -16, 0, 8, 2, 10, -4, -24, 4, -6, 2, 8, -10, -6, 2, -18, 12, 8, -20, 2, -12, 4, 0, 0, -28, -18, 8, 0, -18, 2, -22, 18, -4, -8, -28, -12, 0, -26, -26, 14, -22, 0, 30, 12, -8, 36, 30, -2, 30, -22, -26, 22, -2, 8, -30, 22, 2, 34, -2, 0, -30, 24, 8, 16, -44, -40, 32, -24, -6, -40, -28, 20, 28, -30, -12, 20, -10, 28, -22, -22, 22, -10, -48, 8, 20, 26, 30, 2, -4, 12, 28, 38, 30, 14, 18, -30, 2, 34, 28, 14, -4, 48, 24, 2, -2, 38, 30, 26, 36, 10, -2, -10, 8, 24, -14, 48, -12, -28, -12, 28, 42, -26, -46, 6, 24, -24, -46, 24, 48, 36, -24, 36, 12, -58, -2, 8, 42, 42, -18, -32, -8, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-497.1-b'}
94. label: 3.3.49.1-497.1-c
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', 1], ['[71, 71, 3*w^2 - 4*w - 5]', 1]], 'hecke_eigenvalues': [-1, -5, -6, -4, -4, -4, -10, 8, 6, 6, 0, 2, -4, 10, -2, -14, -1, -2, 0, 16, -18, -6, -2, 14, -10, -6, 6, -6, 0, -2, -4, 10, -20, -16, -4, -12, 0, 6, 26, -22, 12, 6, 6, -20, 14, 2, -2, -20, 12, -24, -24, 8, -12, -20, 8, 30, -12, 0, 10, -30, -2, -12, 0, 0, -10, 26, 10, 30, -10, 4, -16, -28, 20, -6, 4, 18, 26, -10, 28, -22, -6, 36, 24, 0, -30, 26, -26, 24, -28, -14, -36, 16, -20, -12, 24, 34, -8, 20, 8, -40, 6, -28, 8, -16, -42, 20, 24, 18, 18, -6, -20, 30, 6, 4, -26, 22, 0, 12, 18, -16, -14, -50, -6, -34, -26, 0, -40, -24, -6, -44, 18, 2, 8, -24, 14, 50, -32, -12, 30, -20, 40, 26, -4, 42, 12, 28, 24, -24, -20, -16, -22, -10, 30, -50, 44, 10, 48, 0, 10, -32, -14, 22, 58, 48, 24, -58, 52, 8, 8], 'hecke_polynomial': 'x', 'label': '3.3.49.1-497.1-c'}
95. label: 3.3.49.1-497.1-d
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[71, 71, 3*w^2 - 4*w - 5]', 1]], 'hecke_eigenvalues': [1, 3, 2, -4, -4, 4, 6, 0, 6, 6, 0, -6, -4, 2, -10, -6, -1, 6, 0, 0, 6, 2, -10, -10, 6, -6, 6, -6, -16, -10, -4, 2, 20, -16, 12, -12, 24, -10, 2, -22, -12, 6, 6, -4, -10, -22, -10, -4, -4, -24, 24, 24, 12, 12, -24, -18, 12, 24, -6, -6, 6, 20, 32, -16, -10, -22, -22, 14, 14, -28, -16, 20, 20, 18, -36, -6, 26, -10, 20, 26, 2, 20, 0, -24, 18, -6, 30, 24, -28, -22, -4, 0, 12, -12, 24, -6, 24, 20, 8, 8, -18, 36, -24, 32, 14, -28, 48, 18, -30, 2, 44, 38, -34, -4, 14, 30, 48, -36, 2, 8, 50, 30, -6, 30, -34, -16, 32, 24, -30, 36, 50, 2, -16, -40, 14, -22, 0, -12, 30, -4, -40, 2, -36, -30, 12, 12, -24, 0, 44, -16, -22, -18, -42, -18, -4, -46, -16, -48, -30, 0, 2, 38, 50, 24, 48, 6, -28, 8, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-497.1-d'}
96. label: 3.3.49.1-497.1-e
    {'AL_eigenvalues': [['[7, 7, 2*w^2 - w - 3]', -1], ['[71, 71, 3*w^2 - 4*w - 5]', 1]], 'hecke_eigenvalues': [1, 3, -4, 2, 2, -2, -6, 6, -6, -6, -6, 0, 8, -4, 8, 0, -1, 0, -12, 0, -6, -4, 8, 8, -6, -6, -6, 6, 8, -4, 8, -10, 14, -4, -24, 12, 6, 26, -16, 14, 6, 18, -18, -4, -4, 8, -10, -4, -4, 0, 24, 12, -6, -24, 0, 6, 6, 6, -6, -12, -24, 20, 20, -16, -10, 14, 14, 2, 20, 2, 20, -16, -28, 18, 18, -30, 26, -10, 2, 38, 20, 38, -30, 30, -30, -18, -12, 6, 8, -4, -40, -36, 24, 0, 24, -42, 24, -28, -4, 20, -18, -12, -36, 2, 20, -10, -42, 6, -18, 20, -16, -16, -10, -46, 14, 0, 36, -12, -34, 26, 14, 18, -30, -30, -10, -28, 2, 36, -12, -48, -46, -34, -22, -22, 50, -40, 30, 42, 30, -40, 32, 38, 48, 48, 36, 12, -12, 54, 26, 38, 14, 48, 0, 42, 32, 44, 20, 0, -24, 12, -34, -34, 8, -42, 6, 30, 56, -40, -40], 'hecke_polynomial': 'x', 'label': '3.3.49.1-497.1-e'}
97. label: 3.3.49.1-503.1-a
    {'AL_eigenvalues': [['[503, 503, 5*w^2 - 7*w - 10]', -1]], 'hecke_eigenvalues': ['e', '-1/9*e^6 + 1/3*e^5 + 25/9*e^4 - 23/3*e^3 - 15*e^2 + 338/9*e - 125/9', '-2/9*e^6 + 2/3*e^5 + 59/9*e^4 - 55/3*e^3 - 44*e^2 + 1099/9*e - 574/9', '-1/9*e^6 + 1/6*e^5 + 83/18*e^4 - 26/3*e^3 - 43*e^2 + 851/9*e - 374/9', '7/18*e^6 - e^5 - 217/18*e^4 + 91/3*e^3 + 86*e^2 - 2065/9*e + 1060/9', '4/9*e^6 - 4/3*e^5 - 118/9*e^4 + 110/3*e^3 + 89*e^2 - 2198/9*e + 1076/9', '1/3*e^6 - 2/3*e^5 - 23/2*e^4 + 24*e^3 + 92*e^2 - 641/3*e + 104', '-1/9*e^6 + 1/3*e^5 + 59/18*e^4 - 32/3*e^3 - 20*e^2 + 761/9*e - 530/9', '5/9*e^6 - 5/3*e^5 - 152/9*e^4 + 142/3*e^3 + 118*e^2 - 2950/9*e + 1516/9', '1/9*e^6 - 1/3*e^5 - 34/9*e^4 + 32/3*e^3 + 30*e^2 - 770/9*e + 368/9', '-7/18*e^6 + 7/6*e^5 + 229/18*e^4 - 109/3*e^3 - 95*e^2 + 2515/9*e - 1378/9', '-11/18*e^6 + 3/2*e^5 + 359/18*e^4 - 149/3*e^3 - 149*e^2 + 3695/9*e - 2000/9', '-1/3*e^6 + 4/3*e^5 + 26/3*e^4 - 34*e^3 - 46*e^2 + 602/3*e - 376/3', '-4/9*e^6 + e^5 + 133/9*e^4 - 98/3*e^3 - 116*e^2 + 2378/9*e - 1016/9', '-11/18*e^6 + 3/2*e^5 + 359/18*e^4 - 149/3*e^3 - 149*e^2 + 3695/9*e - 1982/9', '4/3*e^6 - 10/3*e^5 - 128/3*e^4 + 106*e^3 + 314*e^2 - 2528/3*e + 1324/3', '-e^6 + 7/3*e^5 + 100/3*e^4 - 78*e^3 - 257*e^2 + 650*e - 980/3', '2/9*e^6 - 5/6*e^5 - 121/18*e^4 + 70/3*e^3 + 45*e^2 - 1405/9*e + 838/9', '-11/18*e^6 + 2*e^5 + 305/18*e^4 - 161/3*e^3 - 102*e^2 + 3119/9*e - 1856/9', '1/3*e^6 - e^5 - 28/3*e^4 + 28*e^3 + 56*e^2 - 578/3*e + 356/3', '4/3*e^6 - 10/3*e^5 - 128/3*e^4 + 106*e^3 + 314*e^2 - 2522/3*e + 1312/3', '1/18*e^6 - 2/3*e^5 + 11/18*e^4 + 31/3*e^3 - 24*e^2 + 65/9*e + 40/9', '-8/9*e^6 + 7/3*e^5 + 251/9*e^4 - 208/3*e^3 - 204*e^2 + 4612/9*e - 2218/9', '2/3*e^6 - 5/3*e^5 - 67/3*e^4 + 56*e^3 + 172*e^2 - 1402/3*e + 728/3', '-1/9*e^6 + 1/3*e^5 + 34/9*e^4 - 26/3*e^3 - 32*e^2 + 464/9*e - 62/9', '13/9*e^6 - 4*e^5 - 403/9*e^4 + 356/3*e^3 + 320*e^2 - 7832/9*e + 3986/9', '-4/3*e^6 + 11/3*e^5 + 42*e^4 - 112*e^3 - 303*e^2 + 2552/3*e - 454', '1/3*e^6 - 2/3*e^5 - 12*e^4 + 24*e^3 + 102*e^2 - 632/3*e + 78', '-1/3*e^6 + e^5 + 25/3*e^4 - 21*e^3 - 48*e^2 + 239/3*e - 20/3', '23/18*e^6 - 7/2*e^5 - 713/18*e^4 + 311/3*e^3 + 283*e^2 - 6857/9*e + 3488/9', 'e^6 - 8/3*e^5 - 95/3*e^4 + 82*e^3 + 232*e^2 - 628*e + 952/3', '-e^6 + 2*e^5 + 35*e^4 - 74*e^3 - 284*e^2 + 670*e - 324', '7/9*e^6 - 4/3*e^5 - 247/9*e^4 + 161/3*e^3 + 224*e^2 - 4661/9*e + 2216/9', '-e^6 + 7/3*e^5 + 197/6*e^4 - 76*e^3 - 252*e^2 + 617*e - 884/3', '-4/9*e^6 + e^5 + 124/9*e^4 - 89/3*e^3 - 100*e^2 + 1973/9*e - 908/9', '-1/3*e^6 + 2/3*e^5 + 12*e^4 - 26*e^3 - 101*e^2 + 734/3*e - 100', '1/3*e^6 - 2/3*e^5 - 10*e^4 + 20*e^3 + 70*e^2 - 452/3*e + 62', '1/3*e^6 - e^5 - 28/3*e^4 + 28*e^3 + 58*e^2 - 584/3*e + 314/3', '-4/3*e^6 + 10/3*e^5 + 131/3*e^4 - 108*e^3 - 330*e^2 + 2612/3*e - 1354/3', '2/3*e^6 - 4/3*e^5 - 23*e^4 + 48*e^3 + 186*e^2 - 1276/3*e + 186', '-4/3*e^6 + 10/3*e^5 + 131/3*e^4 - 108*e^3 - 330*e^2 + 2618/3*e - 1354/3', '-4/9*e^6 + 4/3*e^5 + 100/9*e^4 - 86/3*e^3 - 62*e^2 + 1064/9*e - 284/9', '2/9*e^6 - 1/2*e^5 - 133/18*e^4 + 52/3*e^3 + 55*e^2 - 1351/9*e + 904/9', '1/3*e^6 - 4/3*e^5 - 23/3*e^4 + 32*e^3 + 30*e^2 - 518/3*e + 352/3', '-10/9*e^6 + 8/3*e^5 + 325/9*e^4 - 260/3*e^3 - 272*e^2 + 6350/9*e - 3092/9', '-1/9*e^6 + 40/9*e^4 - 14/3*e^3 - 42*e^2 + 680/9*e - 92/9', '-2/9*e^6 + 2/3*e^5 + 109/18*e^4 - 58/3*e^3 - 34*e^2 + 1261/9*e - 772/9', '4/3*e^6 - 11/3*e^5 - 43*e^4 + 116*e^3 + 316*e^2 - 2741/3*e + 504', '11/9*e^6 - 7/2*e^5 - 655/18*e^4 + 304/3*e^3 + 245*e^2 - 6535/9*e + 3532/9', '-4/3*e^6 + 4*e^5 + 118/3*e^4 - 109*e^3 - 268*e^2 + 2147/3*e - 1040/3', '-e^4 + 2*e^3 + 16*e^2 - 28*e + 2', '-2*e^6 + 17/3*e^5 + 176/3*e^4 - 158*e^3 - 392*e^2 + 1079*e - 1660/3', '-5/3*e^6 + 14/3*e^5 + 148/3*e^4 - 130*e^3 - 337*e^2 + 2650/3*e - 1256/3', '2/9*e^6 - 2/3*e^5 - 59/9*e^4 + 58/3*e^3 + 42*e^2 - 1252/9*e + 736/9', '2*e^6 - 16/3*e^5 - 187/3*e^4 + 160*e^3 + 448*e^2 - 1192*e + 1802/3', '8/9*e^6 - 3*e^5 - 221/9*e^4 + 238/3*e^3 + 148*e^2 - 4468/9*e + 2644/9', '13/9*e^6 - 25/6*e^5 - 773/18*e^4 + 350/3*e^3 + 293*e^2 - 7175/9*e + 3566/9', '-8/9*e^6 + 5/3*e^5 + 290/9*e^4 - 202/3*e^3 - 268*e^2 + 5818/9*e - 2926/9', '7/3*e^6 - 19/3*e^5 - 215/3*e^4 + 186*e^3 + 508*e^2 - 4052/3*e + 2014/3', '-5/9*e^6 + 4/3*e^5 + 149/9*e^4 - 106/3*e^3 - 118*e^2 + 2014/9*e - 574/9', '-4/3*e^6 + 10/3*e^5 + 131/3*e^4 - 108*e^3 - 328*e^2 + 2612/3*e - 1402/3', '17/9*e^6 - 14/3*e^5 - 1093/18*e^4 + 436/3*e^3 + 456*e^2 - 10093/9*e + 4690/9', '-10/9*e^6 + 10/3*e^5 + 304/9*e^4 - 290/3*e^3 - 234*e^2 + 6224/9*e - 3284/9', '-2/3*e^6 + 2*e^5 + 65/3*e^4 - 66*e^3 - 156*e^2 + 1621/3*e - 1000/3', '41/18*e^6 - 19/3*e^5 - 1277/18*e^4 + 563/3*e^3 + 510*e^2 - 12365/9*e + 6338/9', '-11/9*e^6 + 10/3*e^5 + 353/9*e^4 - 316/3*e^3 - 286*e^2 + 7462/9*e - 4078/9', '-5/9*e^6 + 5/3*e^5 + 143/9*e^4 - 154/3*e^3 - 94*e^2 + 3571/9*e - 2362/9', 'e^6 - 8/3*e^5 - 92/3*e^4 + 78*e^3 + 220*e^2 - 564*e + 760/3', '-1/3*e^6 + 2/3*e^5 + 10*e^4 - 20*e^3 - 70*e^2 + 458/3*e - 62', '-19/9*e^6 + 17/3*e^5 + 595/9*e^4 - 506/3*e^3 - 480*e^2 + 11174/9*e - 5450/9', '4/9*e^6 - e^5 - 124/9*e^4 + 95/3*e^3 + 96*e^2 - 2279/9*e + 1376/9', '-2/9*e^6 + e^5 + 80/9*e^4 - 106/3*e^3 - 76*e^2 + 2755/9*e - 1696/9', '4/9*e^6 - 4/3*e^5 - 127/9*e^4 + 122/3*e^3 + 102*e^2 - 2756/9*e + 1580/9', '-4/9*e^6 + 5/3*e^5 + 233/18*e^4 - 134/3*e^3 - 86*e^2 + 2567/9*e - 1298/9', '4/9*e^6 - 5/3*e^5 - 103/9*e^4 + 116/3*e^3 + 64*e^2 - 1739/9*e + 812/9', '10/9*e^6 - 10/3*e^5 - 304/9*e^4 + 296/3*e^3 + 232*e^2 - 6458/9*e + 3644/9', '-2/9*e^6 + 2/3*e^5 + 23/9*e^4 - 16/3*e^3 + 12*e^2 - 728/9*e + 722/9', '14/9*e^6 - 23/6*e^5 - 937/18*e^4 + 388/3*e^3 + 399*e^2 - 9727/9*e + 5236/9', '-16/9*e^6 + 5*e^5 + 965/18*e^4 - 434/3*e^3 - 370*e^2 + 9251/9*e - 4748/9', '5/9*e^6 - 4/3*e^5 - 149/9*e^4 + 118/3*e^3 + 112*e^2 - 2590/9*e + 1276/9', '-7/9*e^6 + 4/3*e^5 + 265/9*e^4 - 182/3*e^3 - 252*e^2 + 5624/9*e - 2990/9', '-10/9*e^6 + 7/2*e^5 + 593/18*e^4 - 284/3*e^3 - 227*e^2 + 5513/9*e - 2540/9', '55/18*e^6 - 23/3*e^5 - 1771/18*e^4 + 733/3*e^3 + 730*e^2 - 17431/9*e + 9058/9', '-2/9*e^6 + 1/2*e^5 + 79/18*e^4 - 28/3*e^3 - 13*e^2 + 235/9*e + 140/9', '1/3*e^6 - e^5 - 28/3*e^4 + 24*e^3 + 64*e^2 - 392/3*e + 56/3', '17/9*e^6 - 5*e^5 - 536/9*e^4 + 448/3*e^3 + 439*e^2 - 9904/9*e + 4534/9', '-2/3*e^6 + 8/3*e^5 + 46/3*e^4 - 58*e^3 - 68*e^2 + 736/3*e - 314/3', '5/18*e^6 - e^5 - 101/18*e^4 + 47/3*e^3 + 22*e^2 + 19/9*e - 526/9', '-1/18*e^6 - 1/3*e^5 + 61/18*e^4 + 11/3*e^3 - 40*e^2 + 277/9*e + 104/9', 'e^6 - 3*e^5 - 28*e^4 + 78*e^3 + 178*e^2 - 482*e + 224', '-17/9*e^6 + 14/3*e^5 + 569/9*e^4 - 466/3*e^3 - 488*e^2 + 11614/9*e - 5932/9', '-19/9*e^6 + 5*e^5 + 625/9*e^4 - 488/3*e^3 - 530*e^2 + 11894/9*e - 5834/9', '-7/3*e^6 + 20/3*e^5 + 70*e^4 - 192*e^3 - 478*e^2 + 4082/3*e - 734', '1/9*e^6 - 2/3*e^5 - 1/9*e^4 + 20/3*e^3 - 22*e^2 + 544/9*e - 598/9', 1, '22/9*e^6 - 6*e^5 - 700/9*e^4 + 566/3*e^3 + 572*e^2 - 13340/9*e + 6776/9', 'e^6 - 8/3*e^5 - 101/3*e^4 + 86*e^3 + 262*e^2 - 686*e + 1084/3', '20/9*e^6 - 5*e^5 - 665/9*e^4 + 514/3*e^3 + 566*e^2 - 13132/9*e + 6682/9', '16/9*e^6 - 13/3*e^5 - 508/9*e^4 + 413/3*e^3 + 412*e^2 - 9881/9*e + 5204/9', '-20/9*e^6 + 14/3*e^5 + 698/9*e^4 - 508/3*e^3 - 630*e^2 + 13546/9*e - 6334/9', '-28/9*e^6 + 29/3*e^5 + 811/9*e^4 - 794/3*e^3 - 588*e^2 + 15764/9*e - 8600/9', '-23/9*e^6 + 7*e^5 + 1435/18*e^4 - 628/3*e^3 - 572*e^2 + 13993/9*e - 7372/9', '-4/3*e^6 + 11/3*e^5 + 41*e^4 - 114*e^3 - 282*e^2 + 2666/3*e - 524', '-1/6*e^6 + 5/6*e^5 + 5/2*e^4 - 17*e^3 + 5*e^2 + 163/3*e - 30', '2/3*e^6 - 2/3*e^5 - 85/3*e^4 + 48*e^3 + 264*e^2 - 1780/3*e + 914/3', '43/18*e^6 - 35/6*e^5 - 1411/18*e^4 + 571/3*e^3 + 593*e^2 - 13945/9*e + 7312/9', '35/18*e^6 - 31/6*e^5 - 1079/18*e^4 + 455/3*e^3 + 429*e^2 - 9857/9*e + 4772/9', '-2/3*e^6 + 7/3*e^5 + 18*e^4 - 62*e^3 - 100*e^2 + 1198/3*e - 264', '47/18*e^6 - 22/3*e^5 - 1445/18*e^4 + 659/3*e^3 + 560*e^2 - 14711/9*e + 8126/9', '-1/3*e^6 + 2/3*e^5 + 23/2*e^4 - 28*e^3 - 88*e^2 + 833/3*e - 170', '-4/9*e^6 + 4/3*e^5 + 127/9*e^4 - 122/3*e^3 - 102*e^2 + 2756/9*e - 1508/9', '13/6*e^6 - 6*e^5 - 409/6*e^4 + 181*e^3 + 494*e^2 - 4075/3*e + 2110/3', '4/9*e^6 - 4/3*e^5 - 299/18*e^4 + 146/3*e^3 + 138*e^2 - 3863/9*e + 2192/9', '-5/9*e^6 + 5/3*e^5 + 152/9*e^4 - 160/3*e^3 - 110*e^2 + 3886/9*e - 2488/9', '-29/9*e^6 + 15/2*e^5 + 1879/18*e^4 - 724/3*e^3 - 789*e^2 + 17479/9*e - 8248/9', 'e^6 - 2*e^5 - 34*e^4 + 74*e^3 + 264*e^2 - 676*e + 364', '11/9*e^6 - 11/3*e^5 - 320/9*e^4 + 298/3*e^3 + 239*e^2 - 5806/9*e + 2608/9', '5/3*e^6 - 5*e^5 - 152/3*e^4 + 142*e^3 + 356*e^2 - 2962/3*e + 1432/3', '-20/9*e^6 + 13/2*e^5 + 1195/18*e^4 - 556/3*e^3 - 453*e^2 + 11683/9*e - 5980/9', '-14/9*e^6 + 11/3*e^5 + 458/9*e^4 - 364/3*e^3 - 384*e^2 + 8998/9*e - 4630/9', '-5/3*e^6 + 14/3*e^5 + 154/3*e^4 - 136*e^3 - 366*e^2 + 2920/3*e - 1400/3', '-3*e^6 + 25/3*e^5 + 274/3*e^4 - 244*e^3 - 638*e^2 + 1767*e - 2726/3', '-e^5 + 4*e^4 + 16*e^3 - 66*e^2 + 4*e + 34', '-10/9*e^6 + 3*e^5 + 328/9*e^4 - 284/3*e^3 - 276*e^2 + 6656/9*e - 3278/9', '4/3*e^6 - 10/3*e^5 - 265/6*e^4 + 106*e^3 + 342*e^2 - 2513/3*e + 1168/3', '7/9*e^6 - 7/3*e^5 - 184/9*e^4 + 164/3*e^3 + 120*e^2 - 2510/9*e + 1136/9', '8/9*e^6 - 3*e^5 - 221/9*e^4 + 238/3*e^3 + 148*e^2 - 4522/9*e + 2572/9', '14/9*e^6 - 13/3*e^5 - 446/9*e^4 + 406/3*e^3 + 362*e^2 - 9430/9*e + 5020/9', '43/18*e^6 - 20/3*e^5 - 1309/18*e^4 + 577/3*e^3 + 510*e^2 - 12307/9*e + 6184/9', '11/18*e^6 - 5/3*e^5 - 353/18*e^4 + 161/3*e^3 + 144*e^2 - 3929/9*e + 2138/9', '-14/9*e^6 + 14/3*e^5 + 377/9*e^4 - 352/3*e^3 - 252*e^2 + 6172/9*e - 2722/9', '-7/9*e^6 + 3*e^5 + 163/9*e^4 - 218/3*e^3 - 74*e^2 + 3581/9*e - 2282/9', '1/18*e^6 - 5/6*e^5 - 1/18*e^4 + 61/3*e^3 - 21*e^2 - 979/9*e + 1096/9', '14/9*e^6 - 13/3*e^5 - 419/9*e^4 + 382/3*e^3 + 314*e^2 - 8332/9*e + 4606/9', '20/9*e^6 - 6*e^5 - 620/9*e^4 + 538/3*e^3 + 494*e^2 - 11944/9*e + 5944/9', '-7/9*e^6 + 7/3*e^5 + 229/9*e^4 - 230/3*e^3 - 186*e^2 + 5660/9*e - 3566/9', '8/3*e^6 - 19/3*e^5 - 89*e^4 + 210*e^3 + 688*e^2 - 5206/3*e + 874', '-8/9*e^6 + 5/3*e^5 + 281/9*e^4 - 208/3*e^3 - 246*e^2 + 6142/9*e - 3610/9', '-38/9*e^6 + 12*e^5 + 1142/9*e^4 - 1036/3*e^3 - 868*e^2 + 22060/9*e - 11794/9', '32/9*e^6 - 28/3*e^5 - 977/9*e^4 + 826/3*e^3 + 764*e^2 - 18133/9*e + 9016/9', '4/9*e^6 - e^5 - 124/9*e^4 + 98/3*e^3 + 96*e^2 - 2360/9*e + 1304/9', '-3*e^6 + 22/3*e^5 + 292/3*e^4 - 232*e^3 - 738*e^2 + 1828*e - 2612/3', '8/3*e^6 - 17/3*e^5 - 271/3*e^4 + 200*e^3 + 708*e^2 - 5251/3*e + 2588/3', '5/6*e^6 - 7/3*e^5 - 145/6*e^4 + 65*e^3 + 160*e^2 - 1349/3*e + 676/3', '2*e^6 - 35/6*e^5 - 371/6*e^4 + 178*e^3 + 429*e^2 - 1355*e + 2354/3', '-29/18*e^6 + 37/6*e^5 + 767/18*e^4 - 467/3*e^3 - 237*e^2 + 8141/9*e - 4928/9', '-4/9*e^6 + e^5 + 142/9*e^4 - 98/3*e^3 - 136*e^2 + 2306/9*e - 548/9', '7/9*e^6 - 7/3*e^5 - 229/9*e^4 + 218/3*e^3 + 188*e^2 - 4994/9*e + 2900/9', '-8/3*e^6 + 8*e^5 + 236/3*e^4 - 224*e^3 - 524*e^2 + 4594/3*e - 2470/3', '-8/9*e^6 + 2*e^5 + 266/9*e^4 - 190/3*e^3 - 232*e^2 + 4450/9*e - 1906/9', '-25/9*e^6 + 8*e^5 + 775/9*e^4 - 704/3*e^3 - 614*e^2 + 15263/9*e - 7862/9', 'e^6 - 3*e^5 - 34*e^4 + 100*e^3 + 258*e^2 - 821*e + 502', '-3*e^6 + 9*e^5 + 88*e^4 - 251*e^3 - 584*e^2 + 1705*e - 934', '-1/3*e^6 + 2/3*e^5 + 10*e^4 - 15*e^3 - 76*e^2 + 185/3*e + 26', '-7/3*e^6 + 6*e^5 + 223/3*e^4 - 185*e^3 - 548*e^2 + 4265/3*e - 2072/3', '-2/3*e^6 + 7/6*e^5 + 149/6*e^4 - 46*e^3 - 215*e^2 + 1285/3*e - 578/3', '-7/6*e^6 + 13/6*e^5 + 257/6*e^4 - 89*e^3 - 361*e^2 + 2587/3*e - 1316/3', '2/3*e^6 - 2*e^5 - 56/3*e^4 + 48*e^3 + 126*e^2 - 736/3*e + 148/3', '-53/18*e^6 + 53/6*e^5 + 1577/18*e^4 - 737/3*e^3 - 599*e^2 + 14915/9*e - 7394/9', '-4/3*e^6 + 14/3*e^5 + 38*e^4 - 120*e^3 - 248*e^2 + 2156/3*e - 352', '-4/3*e^6 + 10/3*e^5 + 125/3*e^4 - 100*e^3 - 304*e^2 + 2258/3*e - 1006/3', '14/9*e^6 - 4*e^5 - 452/9*e^4 + 400/3*e^3 + 364*e^2 - 9988/9*e + 5806/9', '11/9*e^6 - 13/3*e^5 - 308/9*e^4 + 352/3*e^3 + 206*e^2 - 6931/9*e + 4258/9', '-53/18*e^6 + 22/3*e^5 + 1721/18*e^4 - 707/3*e^3 - 716*e^2 + 17039/9*e - 8852/9', '-20/9*e^6 + 19/3*e^5 + 1201/18*e^4 - 550/3*e^3 - 454*e^2 + 11791/9*e - 6220/9', '-11/3*e^6 + 28/3*e^5 + 119*e^4 - 296*e^3 - 894*e^2 + 7027/3*e - 1182', '-5/3*e^6 + 13/3*e^5 + 48*e^4 - 122*e^3 - 312*e^2 + 2542/3*e - 440', '31/9*e^6 - 8*e^5 - 1015/9*e^4 + 785/3*e^3 + 856*e^2 - 19217/9*e + 9476/9', '-61/18*e^6 + 9*e^5 + 1963/18*e^4 - 835/3*e^3 - 812*e^2 + 19183/9*e - 9718/9'], 'hecke_polynomial': 'x^7 - 4*x^6 - 28*x^5 + 124*x^4 + 120*x^3 - 932*x^2 + 1156*x - 428', 'label': '3.3.49.1-503.1-a'}
98. label: 3.3.49.1-512.1-b
    {'AL_eigenvalues': [], 'hecke_eigenvalues': [4, 0, 2, 2, 2, 0, -6, -6, -6, -10, -10, -10, -4, -4, -4, 16, 16, 16, -4, -4, -4, 6, 6, 6, -10, -10, -10, 14, -8, -8, -8, 4, 4, 4, -20, -20, -20, 22, 22, 22, 18, 18, 18, 12, 12, 12, 24, 24, 24, -4, -4, -4, 24, 24, 24, -18, -18, -18, 6, 6, 6, 4, 4, 4, 14, 14, 14, -6, -6, -6, -16, -16, -16, 20, 20, 20, 10, 10, 10, -26, -26, -26, -2, -2, -2, -6, -6, -6, -16, -16, -16, 0, 0, 0, 16, 16, 16, 0, 0, 0, 12, 12, 12, -34, -34, -34, 22, 22, 22, 0, 0, 0, -44, -44, -44, -36, -36, -36, -2, -2, -2, -18, -18, -18, 16, 16, 16, 32, 32, 32, 34, 34, 34, 14, 14, 14, 42, 42, 42, -20, -20, -20, -4, -4, -4, -24, -24, -24, -22, -22, -22, 18, 18, 18, 28, 28, 28, -48, -48, -48, -38, -38, -38, 30, 30, 30, 32, 32, 32], 'hecke_polynomial': 'x', 'label': '3.3.49.1-512.1-b'}
99. label: 3.3.49.1-512.1-c
    {'AL_eigenvalues': [], 'hecke_eigenvalues': [0, 0, -2, 6, -2, 4, 6, -2, -2, -6, 2, 10, -4, 12, -4, -8, -8, -8, 4, -12, -12, 18, 10, 2, 2, -6, 18, -2, -16, -16, 16, -4, 12, -20, 16, -16, 16, -10, 22, -10, -18, -26, 6, 20, 4, -12, 16, -16, 16, -24, -24, 8, -12, -12, 20, -6, 2, -22, -26, 6, 6, -12, -28, 4, -22, 18, -30, -2, 6, -2, 36, 4, -28, 36, -12, 20, 22, 22, -2, -14, -6, 2, -6, -30, 18, 14, -18, -10, -16, -16, 16, 20, -12, 20, -24, 8, -24, 28, -4, 28, 12, 28, 28, 34, 26, 10, -22, -6, 34, 8, -24, 8, 20, -12, 4, 36, 20, -12, 2, -38, -14, 30, 30, -34, 8, 8, -24, 24, -8, 24, 30, 22, -10, 2, -14, 26, -2, 6, -34, 28, -52, -4, -20, -36, 12, 40, 8, 40, 14, 38, -26, -46, 50, -14, 20, 20, -28, -48, 48, 48, -22, 10, 42, -54, 34, -6, -8, 24, 56], 'hecke_polynomial': 'x', 'label': '3.3.49.1-512.1-c'}