Database - mf_newforms ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-01-23T00:48:18.630411

Query: /api/mf_newforms/?_offset=0

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

{'Nk2': 13248, 'analytic_conductor': 26.446453149448065, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [23, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3312, 1, [415, 2485, 2945, 2305], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 1]], [7, [-4, 1]], [11, [2, 1]], [13, [-7, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816744688, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 174338, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3312.2.a.o', 'level': 3312, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '184.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{5}+4q^{7}-2q^{11}+7q^{13}+4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/3312/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3312.2.a', 'trace_display': [0, 0, 2, 4], 'trace_hash': 1250550862898438638, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.185', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, 0, 0, 0, 2, 0, 4, 0, 0, 0, -2, 0, 7, 0, 0, 0, 4, 0, 6, 0, 0, 0, -1, 0, -1, 0, 0, 0, -5, 0, -3, 0, 0, 0, 8, 0, 2, 0, 0, 0, 9, 0, -8, 0, 0, 0, -1, 0, 9, 0, 0, 0, 6, 0, -4, 0, 0, 0, -8, 0, -10, 0, 0, 0, 14, 0, -2, 0, 0, 0, -13, 0, -3, 0, 0, 0, -8, 0, -6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 28, 0, 0, 0, 12, 0, -8, 0, 0, 0, 14, 0, -16, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, -2, 0, 0, 0, 16, 0, -7, 0, 0, 0, -12, 0, 7, 0, 0, 0, 3, 0, 24, 0, 0, 0, -20, 0, 19, 0, 0, 0, -14, 0, -10, 0, 0, 0, -6, 0, -11, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, -24, 0, 36, 0, 0, 0, -14, 0, -4, 0, 0, 0, 5, 0, 18, 0, 0, 0, 4, 0, -8, 0, 0, 0, 6, 0, 1, 0, 0, 0, 3, 0, 14, 0, 0, 0, -20, 0, 18, 0, 0, 0, -12, 0, -20, 0, 0, 0, -16, 0, -12, 0, 0, 0, 28, 0, 16, 0, 0, 0, 8, 0, -20, 0, 0, 0, -3, 0, -2, 0, 0, 0, 19, 0, -10, 0, 0, 0, 18, 0, 42, 0, 0, 0, 0, 0, 2, 0, 0, 0, -15, 0, 8, 0, 0, 0, 26, 0, 12, 0, 0, 0, 15, 0, 8, 0, 0, 0, 2, 0, 17, 0, 0, 0, 12, 0, 22, 0, 0, 0, 36, 0, -1, 0, 0, 0, -16, 0, -16, 0, 0, 0, -7, 0, -32, 0, 0, 0, -20, 0, 16, 0, 0, 0, 3, 0, -16, 0, 0, 0, 30, 0, 10, 0, 0, 0, 24, 0, -7, 0, 0, 0, -4, 0, -1, 0, 0, 0, -4, 0, -28, 0, 0, 0, 6, 0, 8, 0, 0, 0, -4, 0, 25, 0, 0, 0, -33, 0, -26, 0, 0, 0, -6, 0, 17, 0, 0, 0, -6, 0, 0, 0, 0, 0, 24, 0, -2, 0, 0, 0, -35, 0, 16, 0, 0, 0, 36, 0, -16, 0, 0, 0, 8, 0, -4, 0, 0, 0, -12, 0, -1, 0, 0, 0, 30, 0, -21, 0, 0, 0, -4, 0, -19, 0, 0, 0, -32, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, 0, -4, 0, -40, 0, 0, 0, -24, 0, 10, 0, 0, 0, -6, 0, -13, 0, 0, 0, -25, 0, 8, 0, 0, 0, 2, 0, -18, 0, 0, 0, 56, 0, -32, 0, 0, 0, -1, 0, 8, 0, 0, 0, 2, 0, -8, 0, 0, 0, 16, 0, -6, 0, 0, 0, -24, 0, 14, 0, 0, 0, -16, 0, -1, 0, 0, 0, 29, 0, -20, 0, 0, 0, -52, 0, 25, 0, 0, 0, -26, 0, 28, 0, 0, 0, 15, 0, -12, 0, 0, 0, -32, 0, 2, 0, 0, 0, 12, 0, -24, 0, 0, 0, -12, 0, 1, 0, 0, 0, 63, 0, 12, 0, 0, 0, -18, 0, -3, 0, 0, 0, 0, 0, 39, 0, 0, 0, -30, 0, -24, 0, 0, 0, -12, 0, -56, 0, 0, 0, -36, 0, 24, 0, 0, 0, -34, 0, -28, 0, 0, 0, 1, 0, -39, 0, 0, 0, 0, 0, -12, 0, 0, 0, -17, 0, -18, 0, 0, 0, -14, 0, 32, 0, 0, 0, 8, 0, -19, 0, 0, 0, -14, 0, 4, 0, 0, 0, -7, 0, -20, 0, 0, 0, -18, 0, -40, 0, 0, 0, 16, 0, -19, 0, 0, 0, 8, 0, 44, 0, 0, 0, 14, 0, 63, 0, 0, 0, -12, 0, 26, 0, 0, 0, -41, 0, 16, 0, 0, 0, -15, 0, 6, 0, 0, 0, 8, 0, 22, 0, 0, 0, 48, 0, 5, 0, 0, 0, 20, 0, 19, 0, 0, 0, -34, 0, -32, 0, 0, 0, 37, 0, -40, 0, 0, 0, 42, 0, 4, 0, 0, 0, 38, 0, 36, 0, 0, 0, -12, 0, 12, 0, 0, 0, 56, 0, 16, 0, 0, 0, 3, 0, -28, 0, 0, 0, -40, 0, -64, 0, 0, 0, 5, 0, -6, 0, 0, 0, -32, 0, 4, 0, 0, 0, 4, 0, -29, 0, 0, 0, -24, 0, -12, 0, 0, 0, 24, 0, -24, 0, 0, 0, -22, 0, 6, 0, 0, 0, -5, 0, 0, 0, 0, 0, -56, 0, 14, 0, 0, 0, -12, 0, 3, 0, 0, 0, 54, 0, 26, 0, 0, 0, 0, 0, 12, 0, 0, 0, 48, 0, -70, 0, 0, 0, 2, 0, -4, 0, 0, 0, 6, 0, -8, 0, 0, 0, 14, 0, -7, 0, 0, 0, -2, 0, -48, 0, 0, 0, -18, 0, 5, 0, 0, 0, 48, 0, 2, 0, 0, 0, 36, 0, -48, 0, 0, 0, -48, 0, -4, 0, 0, 0, 72, 0, -28, 0, 0, 0, -2, 0, 38, 0, 0, 0, -43, 0, 25, 0, 0, 0, -39, 0, -28, 0, 0, 0, 12, 0, -14, 0, 0, 0, -48, 0, 22, 0, 0, 0, -12, 0, 36, 0, 0, 0, 39, 0, 28, 0, 0, 0, -6, 0, 10, 0, 0, 0, 15, 0, 24, 0, 0, 0, 36, 0, -14, 0, 0, 0, -18, 0, 0, 0, 0, 0, 12, 0, 8, 0, 0, 0, -91, 0, -2, 0, 0, 0, 41, 0, 54, 0, 0, 0, -16, 0, -14, 0, 0, 0, 0, 0, -9, 0, 0, 0, -49, 0, -21, 0, 0, 0, 34, 0, 12, 0, 0, 0, -80, 0, -22, 0, 0, 0, 2, 0, -37, 0, 0, 0, 6, 0, 76, 0, 0, 0, 54, 0, -8, 0, 0, 0, 10, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 0, 28, 0, -10, 0, 0, 0, -56, 0, -32, 0, 0, 0, 36, 0, -46, 0, 0, 0, 1, 0, -40, 0, 0, 0, -58, 0, 25, 0, 0, 0, -9, 0, -42, 0, 0, 0, 48, 0, 24, 0, 0, 0, -40, 0, -5, 0, 0, 0, -24, 0, -24, 0, 0, 0, -56, 0, -61, 0, 0, 0, -40, 0, -44, 0, 0, 0, 25, 0, 34, 0, 0, 0, 16, 0, -8, 0, 0, 0, -10, 0, 8, 0, 0, 0, 0, 0, 1, 0, 0, 0, -24, 0, -25, 0, 0, 0, 36, 0, -15, 0, 0, 0, 30, 0, 0, 0, 0, 0, 26, 0, 56, 0, 0, 0, -20, 0, -28, 0, 0, 0, 32, 0, 30, 0, 0, 0, -48, 0, 42, 0, 0, 0, -9, 0, 29, 0, 0, 0, 32, 0, 16, 0, 0, 0, -8, 0, -4, 0, 0, 0, -40, 0, -6, 0, 0, 0, 64, 0, 43, 0, 0, 0, 28, 0, -60, 0, 0, 0, 44, 0, -6, 0, 0, 0, -96, 0, 62, 0, 0, 0, 1, 0, -12, 0, 0, 0, -42, 0, 144, 0, 0, 0, -22, 0, -45, 0, 0, 0, -4, 0, 38, 0, 0, 0, 0, 0, 58, 0, 0, 0, -20, 0, -52, 0, 0, 0, -56, 0, 8, 0, 0, 0, -24, 0, -6, 0, 0, 0, 1, 0, -9, 0, 0, 0, 12, 0, 48, 0, 0, 0, 84, 0, 13, 0, 0, 0, -12, 0, -24, 0, 0, 0, 40, 0, 50, 0, 0, 0, 20, 0, 0, 0, 0, 0, -12, 0, -56, 0, 0, 0, 4, 0, 72, 0, 0, 0, -27, 0, -12, 0, 0, 0, 3, 0, 46, 0, 0, 0, -21, 0, -30, 0, 0, 0, 17, 0, -49, 0, 0, 0, 16, 0, 3, 0, 0, 0, 69, 0, 72, 0, 0, 0, -18, 0, -32, 0, 0, 0, 98, 0, 52, 0, 0, 0, -8, 0, 0, 0, 0, 0, -6, 0, 5, 0, 0, 0, 36, 0, 24, 0, 0, 0, 24, 0, -112, 0, 0, 0, -24, 0, 30, 0, 0, 0, -78, 0, 4, 0, 0, 0, 16, 0, 8, 0, 0, 0, 51, 0, 5, 0, 0, 0, 10, 0, -33, 0, 0, 0, 45, 0, 24, 0, 0, 0, 12, 0, -5, 0, 0, 0, 34, 0, -18, 0, 0, 0, 42, 0, 56, 0, 0, 0, -14, 0, -26, 0, 0, 0, 10, 0, 24, 0, 0, 0, 3, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -45, 0, 12, 0, 0, 0, 3, 0, -21, 0, 0, 0, 34, 0, 72, 0, 0, 0, -15, 0, -6, 0, 0, 0, -2, 0, -14, 0, 0, 0, 12, 0, 50, 0, 0, 0, 3, 0, 4, 0, 0, 0, -48, 0, -32, 0, 0, 0, 84, 0, -22, 0, 0, 0, 8, 0, -80, 0, 0, 0, -66, 0, 36, 0, 0, 0, -56, 0, -8, 0, 0, 0, -38, 0, -14, 0, 0, 0, 19, 0, -36, 0, 0, 0, -64, 0, 40, 0, 0, 0, -59, 0, 16, 0, 0, 0, 18, 0, -27, 0, 0, 0, -24, 0, 10, 0, 0, 0, -38, 0, 5, 0, 0, 0, 32, 0, -30, 0, 0, 0, 2, 0, -67, 0, 0, 0, 112, 0, -53, 0, 0, 0, 18, 0, 6, 0, 0, 0, 43, 0, 64, 0, 0, 0, -32, 0, -31, 0, 0, 0, -2, 0, -49, 0, 0, 0, 0, 0, -38, 0, 0, 0, 62, 0, 60, 0, 0, 0, 32, 0, -16, 0, 0, 0, 20, 0, -60, 0, 0, 0, -14, 0, -80, 0, 0, 0, 58, 0, -40, 0, 0, 0, -66, 0, 48, 0, 0, 0, -59, 0, 2, 0, 0, 0, -84, 0, 34, 0, 0, 0, -12, 0, 13, 0, 0, 0, 15, 0, 12, 0, 0, 0, -18, 0, -8, 0, 0, 0, -32, 0, 49, 0, 0, 0, -2, 0, 17, 0, 0, 0, 22, 0, 44, 0, 0, 0, 4, 0, 26, 0, 0, 0, 76, 0, 2, 0, 0, 0, 3, 0, 40, 0, 0, 0, -56, 0, -40, 0, 0, 0, 24, 0, 44, 0, 0, 0, 18, 0, -42, 0, 0, 0, 21, 0, 12, 0, 0, 0, 14, 0, 40, 0, 0, 0, 16, 0, 56, 0, 0, 0, 28, 0, -26, 0, 0, 0, 0, 0, 168, 0, 0, 0, -69, 0, -8, 0, 0, 0, -2, 0, 49, 0, 0, 0, 50, 0, 38, 0, 0, 0, -64, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, -72, 0, -66, 0, 0, 0, 50, 0, 8, 0, 0, 0, 13, 0, -63, 0, 0, 0, -140, 0, -15, 0, 0, 0, -4, 0, -62, 0, 0, 0, 2, 0, -12, 0, 0, 0, -60, 0, -78, 0, 0, 0, 34, 0, 133, 0, 0, 0, 48, 0, 18, 0, 0, 0, 6, 0, 24, 0, 0, 0, 45, 0, 3, 0, 0, 0, 24, 0, 50, 0, 0, 0, 0, 0, 48, 0, 0, 0, 104, 0, -48, 0, 0, 0, 26, 0, 21, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 14, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 18, 0, 32, 0, 0, 0, 60, 0, -70, 0, 0, 0, -30, 0, 30, 0, 0, 0, 32, 0, 32, 0, 0, 0, -10, 0, 28, 0, 0, 0, 28, 0, 0, 0, 0, 0, -18, 0, 72, 0, 0, 0, 84, 0, 48, 0, 0, 0, 8, 0, -9, 0, 0, 0, 10, 0, -43, 0, 0, 0, -42, 0, 68, 0, 0, 0, 10, 0, 16, 0, 0, 0, 22, 0, -20, 0, 0, 0, -8, 0, -96, 0, 0, 0, 12, 0, -77, 0, 0, 0, 48, 0, -10, 0, 0, 0, 33, 0, 6, 0, 0, 0, -71, 0, 88, 0, 0, 0, -2, 0, -45, 0, 0, 0, -36, 0, -48, 0, 0, 0, -42, 0, -4, 0, 0, 0, 9, 0, 60, 0, 0, 0, 81, 0, -4, 0, 0, 0, -42, 0, -1, 0, 0, 0, 8, 0, -4, 0, 0, 0, 12, 0, 52, 0, 0, 0, 36, 0, -8, 0, 0, 0, 14, 0, 0, 0, 0, 0, -38, 0, -4, 0, 0, 0, -64, 0, 82, 0, 0, 0, -28, 0, 65, 0, 0, 0, 75, 0, -64, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -40, 0, -89, 0, 0, 0, 10, 0, -84, 0, 0, 0, -28, 0, 16, 0, 0, 0, -27, 0, -12, 0, 0, 0, 8, 0, -72, 0, 0, 0, 27, 0, -8, 0, 0, 0, 15, 0, -7, 0, 0, 0, -2, 0, -48, 0, 0, 0, -7, 0, 64, 0, 0, 0, -80, 0, 40, 0, 0, 0, 41, 0, -48, 0, 0, 0, 72, 0, 64, 0, 0, 0, 18, 0, -48, 0, 0, 0, 28, 0, 0, 0, 0, 0, 20, 0, -6, 0, 0, 0, -168, 0, 54, 0, 0, 0, 12, 0, -22, 0, 0, 0, -16, 0, -12, 0, 0, 0, -28, 0, -64, 0, 0, 0, -26, 0, 161, 0, 0, 0, 39, 0, 71, 0, 0, 0, 26, 0, -46, 0, 0, 0, -24, 0, -50, 0, 0, 0, 120, 0, 1, 0, 0, 0, -4, 0, 12, 0, 0, 0, 8, 0, 40, 0, 0, 0, 29, 0, -53, 0, 0, 0, 25, 0, 4, 0, 0, 0, -98, 0, 14, 0, 0, 0, -36, 0, -20, 0, 0, 0, 96, 0, 9, 0, 0, 0, -23, 0, 2, 0, 0, 0, 76, 0, -28, 0, 0, 0, -48, 0, -73, 0, 0, 0, -64, 0, 52, 0, 0, 0, 30, 0, -53, 0, 0, 0, 40, 0, -42, 0, 0, 0, -9, 0, -2, 0, 0, 0, -6, 0, -34, 0, 0, 0, 16, 0, -4, 0, 0, 0, 40, 0, -14, 0, 0, 0, 35, 0, -80, 0, 0, 0, -14, 0, 4, 0, 0, 0, -68, 0, 47, 0, 0, 0, -16, 0, 28, 0, 0, 0, -22, 0, 126, 0, 0, 0, -18, 0, -112, 0, 0, 0, 76, 0, 32, 0, 0, 0, 16, 0, 69, 0, 0, 0, -72, 0, 77, 0, 0, 0, 90, 0, 34, 0, 0, 0, 24, 0, -88, 0, 0, 0, -82, 0, -48, 0, 0, 0, 4, 0, -31, 0, 0, 0, 28, 0, 0, 0, 0, 0, -62, 0, 42, 0, 0, 0, -5, 0, -72, 0, 0, 0, -36, 0, 8, 0, 0, 0, -16, 0, -56, 0, 0, 0, -2, 0, -58, 0, 0, 0, -77, 0, 100, 0, 0, 0, -31, 0, 18, 0, 0, 0, -32, 0, 58, 0, 0, 0, 66, 0, -6, 0, 0, 0, -40, 0, 55, 0, 0, 0, -132, 0, 9, 0, 0, 0, 37, 0, -4, 0, 0, 0, 42, 0, -104, 0, 0, 0, 18, 0, -6, 0, 0, 0, 50, 0, -16, 0, 0, 0, -90, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, -24, 0, -52, 0, 0, 0, 40, 0, -22, 0, 0, 0, -14, 0, 68, 0, 0, 0, 9, 0, -24, 0, 0, 0, 64, 0, -52, 0, 0, 0, 83, 0, 30, 0, 0, 0, 44, 0, -8, 0, 0, 0, -24, 0, -9, 0, 0, 0, 21, 0, 6, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -15, 0, -20, 0, 0, 0, 4, 0, 98, 0, 0, 0, -10, 0, -34, 0, 0, 0, 54, 0, -12, 0, 0, 0, -120, 0, 24, 0, 0, 0, 60, 0, -8, 0, 0, 0, -48, 0, -33, 0, 0, 0, 54, 0, 80, 0, 0, 0, -26, 0, -38, 0, 0, 0, -14, 0, -24, 0, 0, 0, -140, 0, 114, 0, 0, 0, 2, 0, 68, 0, 0, 0, 20, 0, 64, 0, 0, 0, -71, 0, -20, 0, 0, 0, -11, 0, 126, 0, 0, 0, 0, 0, 19, 0, 0, 0, -6, 0, 14, 0, 0, 0, 144, 0, 34, 0, 0, 0, -40, 0, 44, 0, 0, 0, 26, 0, -36, 0, 0, 0, -85, 0, -6, 0, 0, 0, -6, 0, -20, 0, 0, 0, 80, 0, 86, 0, 0, 0, -84, 0, -68, 0, 0, 0, 32, 0, 0, 0, 0, 0, 60, 0, 44, 0, 0, 0, 78, 0, -16, 0, 0, 0, -38, 0, -140, 0, 0, 0, -18, 0, -25, 0, 0, 0, -77, 0, -60, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 32, 0, 0, 0, -4, 0, 8, 0, 0, 0, -84, 0, -4, 0, 0, 0, 7, 0, -24, 0, 0, 0, -19, 0, 9, 0, 0, 0, -112, 0, -82, 0, 0, 0, 51, 0, 4, 0, 0, 0, 120, 0, -17, 0, 0, 0, 40, 0, -72, 0, 0, 0, -60, 0, -84, 0, 0, 0, -12, 0, 30, 0, 0, 0, -36, 0, -25, 0, 0, 0, -15, 0, -96, 0, 0, 0, 42, 0, -68, 0, 0, 0, -16, 0, 22, 0, 0, 0, -56, 0, 42, 0, 0, 0, -69, 0, -76, 0, 0, 0, 10, 0, -66, 0, 0, 0, 144, 0, 12, 0, 0, 0, -48, 0, 16, 0, 0, 0, -78, 0, -4, 0, 0, 0, -72, 0, -52, 0, 0, 0, 0, 0, 112, 0, 0, 0, -84, 0, 0, 0, 0, 0, 24, 0, -117, 0, 0, 0, -24, 0, 96, 0, 0, 0, -7, 0, -12, 0, 0, 0, 24, 0, -70, 0, 0, 0, 32, 0, -34, 0, 0, 0, -60, 0, -56, 0, 0, 0, -36, 0, 16, 0, 0, 0, 56, 0, 29, 0, 0, 0, -3, 0, -30, 0, 0, 0, 78, 0, -28, 0, 0, 0, -54, 0, -63, 0, 0, 0, -16, 0, -140, 0, 0, 0, -16, 0, 0, 0, 0, 0, 80, 0, -90, 0, 0, 0, -27, 0, 16, 0, 0, 0, 63, 0], 'weight': 2, 'weight_parity': 1}