Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-08-26T02:37:27.428295

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': 26244, 'analytic_conductor': 52.38984876616206, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6561, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 72, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915672481, 'id': 229231, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6561.2.a.d', 'level': 6561, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '81.2.g.a', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 72, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6561.2.a', 'trace_display': [9, 0, 18, 0], 'traces': [72, 9, 0, 63, 18, 0, 0, 27, 0, 0, 36, 0, 0, 36, 0, 45, 36, 0, 0, 54, 0, 0, 54, 0, 36, 45, 0, 9, 54, 0, 0, 63, 0, 0, 72, 0, 0, 54, 0, 0, 72, 0, 0, 90, 0, 0, 90, 0, 18, 45, 0, 0, 45, 0, 9, 108, 0, 18, 108, 0, 0, 72, 0, 9, 72, 0, 0, 108, 0, 0, 126, 0, 0, 90, 0, 0, 72, 0, 0, 144, 0, -18, 108, 0, 0, 90, 0, 0, 108, 0, 0, 72, 0, 0, 144, 0, 0, 81, 0, -9, 126, 0, 0, 144, 0, 0, 99, 0, 9, 63, 0, 18, 72, 0, 0, 162, 0, 0, 180, 0, -18, 90, 0, 36, 108, 0, 0, 135, 0, 0, 180, 0, 0, 117, 0, 9, 72, 0, 0, 117, 0, 0, 180, 0, 0, 144, 0, 0, 126, 0, 0, 90, 0, 0, 144, 0, 0, 108, 0, 45, 162, 0, -18, 216, 0, -36, 198, 0, -36, 18, 0, 0, 126, 0, 0, 99, 0, 0, 180, 0, 0, -9, 0, 0, 135, 0, 0, 144, 0, 9, 216, 0, 0, 135, 0, -45, 63, 0, 0, 90, 0, 0, 117, 0, 0, 108, 0, 0, 153, 0, 0, 54, 0, 0, 198, 0, 9, 0, 0, 18, 108, 0, 0, 153, 0, 0, 135, 0, 0, 63, 0, 36, 72, 0, 0, 144, 0, 63, 225, 0, 0, -18, 0, -18, 18, 0, 0, 99, 0, 0, 207, 0, 0, 18, 0, -63, 72, 0, 0, 45, 0, 0, 198, 0, 0, 0, 0, 0, 144, 0, 9, 81, 0, 18, 108, 0, 0, -27, 0, 72, 108, 0, 0, 108, 0, 0, 171, 0, -72, -9, 0, 0, 117, 0, 45, 81, 0, 9, 225, 0, 0, -117, 0, 0, 63, 0, 0, 99, 0, 0, 288, 0, 0, 72, 0, 0, 9, 0, 0, 72, 0, 0, 81, 0, -18, 9, 0, -36, 90, 0, 0, 45, 0, 0, 234, 0, 0, -63, 0, -72, 162, 0, 0, 63, 0, 0, 81, 0, 0, -99, 0, 9, 99, 0, 0, 108, 0, 0, 288, 0, -90, -117, 0, 0, 72, 0, 0, -45, 0, 90, 180, 0, 0, 36, 0, 0, 45, 0, 9, 90, 0, 18, 216, 0, 0, -90, 0, 0, 135, 0, 0, -54, 0, 0, 198, 0, 0, -9, 0, -99, 72, 0, 0, 135, 0, -18, 162, 0, 0, -135, 0, 0, 90, 0, 0, 90, 0, 99, 279, 0, 0, -234, 0, 0, 117, 0, 63, 9, 0, -90, 297, 0, 9, -54, 0, 18, 63, 0, 0, -81, 0, 0, 108, 0, 0, -36, 0, 36, 72, 0, 0, -90, 0, 0, 207, 0, 0, 18, 0, 9, 180, 0, 0, 135, 0, 0, 108, 0, 0, -189, 0, 0, -54, 0, 0, 45, 0, 0, 369, 0, 0, -126, 0, -117, 72, 0, -18, -45, 0, -36, 216, 0, 0, 18, 0, 72, 81, 0, 0, -36, 0, 0, 279, 0, 0, -72, 0, 0, 171, 0, 0, -135, 0, 9, 63, 0, 0, -36, 0, 117, 180, 0, 0, 189, 0, 0, 180, 0, -126, -144, 0, 0, -135, 0, 0, 54, 0, 0, 180, 0, 9, -135, 0, 18, 171, 0, -81, -72, 0, 0, 333, 0, -81, -135, 0, 36, 45, 0, -81, -171, 0, 0, 261, 0, 45, -54, 0, -18, 180, 0, 0, -99, 0, 126, 225, 0, -81, -144, 0, 0, 108, 0, 0, 333, 0, 0, 117, 0, -81, -234, 0, 0, 117, 0, 9, -18, 0, 18, 333, 0, 0, -252, 0, 0, 72, 0, 0, -18, 0, 0, 216, 0, 0, -18, 0, -126, -72, 0, -81, -81, 0, 9, 288, 0, -144, 9, 0, 0, 108, 0, 0, -162, 0, 0, 153, 0, -81, -225, 0, 90, 162, 0, 0, 81, 0, 0, 297, 0, -18, -180, 0, -36, 0, 0, 0, 72, 0, 0, 279, 0, 0, -198, 0, -72, -144, 0, 0, 108, 0, 0, 432, 0, 0, -117, 0, -144, 63, 0, -81, -360, 0, 0, 99, 0, 0, -180, 0, 144, 261, 0, 0, -27, 0, 0, 270, 0, 0, -189, 0, 45, 108, 0, -72, -99, 0, 18, -18, 0, 0, 27, 0, -144, -117, 0, 99, 54, 0, 0, 432, 0, 0, -369, 0, 0, -81, 0, 0, -270, 0, -18, 279, 0, 0, -9, 0, 0, -63, 0, 0, -162, 0, 0, 207, 0, 0, -162, 0, 153, 135, 0, 0, -216, 0, 0, 207, 0, -72, -171, 0, 18, 135, 0, 0, -36, 0, 0, 171, 0, 0, -153, 0, 36, 54, 0, 0, 18, 0, 0, 189, 0, 0, -378, 0, -162, -81, 0, -81, -135, 0, 0, 306, 0, 0, -27, 0, 0, -9, 0, 0, -315, 0, 0, 90, 0, 63, -288, 0, 0, 54, 0, -18, -324, 0, -36, 297, 0, 0, -171, 0, 0, 54, 0, 0, 0, 0, 0, -18, 0, 0, -459, 0, 0, -90, 0, -90, 9, 0, 9, 378, 0, -180, -414, 0, 0, -126, 0, 0, -225, 0, 0, 81, 0, -81, -171, 0, 0, 18, 0, 0, -171, 0, 0, 135, 0, 9, -234, 0, 18, -54, 0, 117, -396, 0, 171, 54, 0, 0, -297, 0, 36, 90, 0, 0, 54, 0, 0, 261, 0, -81, -522, 0, -18, -99, 0, 0, -261, 0, 0, 288, 0, 0, -387, 0, 0, -171, 0, 0, -261, 0, -180, 234, 0, 0, -117, 0, 0, -270, 0, 9, -225, 0, 18, 63, 0, 0, -180, 0, 72, -45, 0, 0, -477, 0, 0, 135, 0, 0, -207, 0, 180, 90, 0, 0, -9, 0, 9, -126, 0, 0, -450, 0, 126, -81, 0, 0, 0, 0, 0, 306, 0, -198, -477, 0, 0, -54, 0, -81, -441, 0, 45, 279, 0, -18, -279, 0, -36, -207, 0, 0, -585, 0, 0, 243, 0, 0, -198, 0, -72, -18, 0, 0, -360, 0, 63, -171, 0, 0, -405, 0, 9, -117, 0, 0, 144, 0, 0, 171, 0, -81, -576, 0, -198, -171, 0, 0, -468, 0, 0, 189, 0, 0, -513, 0, -207, -108, 0, 9, -270, 0, 18, 342, 0, 0, -261, 0, 0, -288, 0, 0, -144, 0, 0, -90, 0, 0, -180, 0, 0, -45, 0, 0, -225, 0, -18, 198, 0, 0, -459, 0, 0, -216, 0, 0, -405, 0, 0, -9, 0, 0, -450, 0, 0, -252, 0, 0, -234, 0, 198, 225, 0, 9, -540, 0, 18, -144, 0, 0, 99, 0, 0, 360, 0, 0, -432, 0, 36, -153, 0, -81, -567, 0, 0, 72, 0, 45, -369, 0, 9, 36, 0, 0, -531, 0, 0, -72, 0, 0, -378, 0, 144, -27, 0, 0, -99, 0, 0, 27, 0, 0, -360, 0, 0, -243, 0, -18, -288, 0, -36, 234, 0, 0, -756, 0, 72, -387, 0, -81, -369, 0, 207, 432, 0, 0, -99, 0, -225, -234, 0, 0, -594, 0, 9, -171, 0, 0, -450, 0, 0, -45, 0, 0, -342, 0, 0, 153, 0, 0, -90, 0, 90, -54, 0, -126, -261, 0, 0, -90, 0, 9, -576, 0, 18, -198, 0, 0, -144, 0, 0, 315, 0, 0, -657, 0, 36, -297, 0, 153, -504, 0, 0, 126, 0, 0, -243, 0, -18, -153, 0, 0, -198, 0, -234, 180, 0, -234, -531, 0, 0, -108, 0, 0, -522, 0, 0, -144, 0, 0, -306, 0, -90, -198, 0, 9, -90, 0, 18, 9, 0, -81, -630, 0, 0, -351, 0, 0, -54, 0, 0, 126, 0, 0, -540, 0, 0, -324, 0, 0, -639, 0, 9, 324, 0, 0, -585, 0, 0, -54, 0, 0, -549, 0, 0, 18, 0, 0, -234, 0, 0, -216, 0, 0, -612, 0, 0, 135, 0, -18, -99, 0, 189, -135, 0, -81, -324, 0, 0, -63, 0, 99, -684, 0, -72, -405, 0, 0, -360, 0, 0, 477, 0, 0, -495, 0, 9, -297, 0, 0, -405, 0, -252, 0, 0, 0, 108, 0, 0, -486, 0, 0, -396, 0, 0, 189, 0, 0, -522, 0, 0, -63, 0, 9, -810, 0, 18, -81, 0, 0, -783, 0, -144, 108, 0, 0, -189, 0, 0, 36, 0, -252, -675, 0, 63, -450, 0, 45, -351, 0, 216, 81, 0, 0, -351, 0, 0, -270, 0, 171, -414, 0, 0, 324, 0, 0, -450, 0, 0, -450, 0, 0, -387, 0, 0, 117, 0, 9, -450, 0, 18, -108, 0, 0, -567, 0, 0, 9, 0, -81, -549, 0, 36, -144, 0, 0, -207, 0, 0, 36, 0, 0, -387, 0, 9, -225, 0, 0, -324, 0, 0, 288, 0, 0, -747, 0, -261, -369, 0, 0, -468, 0, 90, 45, 0, 0, -315, 0, 0, -441, 0, 225, -639, 0, 207, -81, 0, 0, -162, 0, 0, -99, 0, 0, -882, 0, 243, -9, 0, -81, -738, 0, 180, -36, 0, 243, 279, 0, 9, 252, 0, 0, -711, 0, 0, -513, 0, 0, -504, 0, 0, 54, 0, 0, -801, 0, 0, -504, 0, 243, 81, 0, 45, 495, 0, 9, -216, 0, 18, -144, 0, 0, -657, 0, 243, -270, 0, 0, -594, 0, 36, -180, 0, 0, -459, 0, 0, 126, 0, 0, -486, 0, 234, -270, 0, 0, -540, 0, 0, -279, 0, 0, 153, 0, -288, -333, 0, 0, -414, 0, 243, 531, 0, 63, -891, 0, 0, -504, 0, 9, -153, 0, 18, 162, 0, 117, -270, 0, 72, -396, 0, 243, -531, 0, 0, 0, 0, 0, -567, 0, 0, -288, 0, 0, -630, 0, 9, -9, 0, 0, 108, 0, -279, -81, 0, -81, -405, 0, 99, 90, 0, 0, -423, 0, 0, -180, 0, 0, -72, 0, 0, 126, 0, -18, -954, 0, 225, -504, 0, 243, 261, 0, 0, 252, 0, 0, 459, 0, -72, -315, 0, 0, -126, 0, 0, -171, 0, -90, -423, 0, 9, -261, 0, 0, -513, 0, 243, 252, 0, 0, -477, 0, 0, 126, 0, 0, -261, 0, -306, 63, 0, -81, -810, 0, 198, -441, 0, 9, 135, 0, 18, 495, 0, -288, -621, 0, 0, -225, 0, 0, -882, 0, 0, 45, 0, 0, -441, 0, 0, -189, 0, 0, -360, 0, -18, 90, 0, 0, -180, 0, 126, -180, 0, 0, -414, 0, 243, 45, 0, 0, 63, 0, -180, -216, 0, 0, 180, 0, 0, 117, 0, 9, -621, 0, 18, -333, 0, 0, -450, 0, 0, 450, 0, 0, -360, 0, 36, -126, 0, 243, -243, 0, -126, 351, 0, 0, -126, 0, 9, -441, 0, 0, -405, 0, 0, 9, 0, 0, -180, 0, 0, -72, 0, 207, -423, 0, 0, 90, 0, 0, -180, 0, 45, 180, 0, -18, 180, 0, -36, -162, 0, 0, -432, 0, 72, -270, 0, 0, -36, 0, 279, 576, 0, 0, -270, 0, 0, -297, 0, -81, -315, 0, 9, 486, 0, 0, -162, 0, 0, -324, 0, 243, -423, 0, 0, 585, 0, 0, -261, 0, 0, -108, 0, 0, -315, 0, 0, -279, 0, 9, 0, 0, 18, -171, 0, 0, 477, 0, 0, 369, 0, -306, -144, 0, 36, -324, 0, 0, -126, 0, 243, 108, 0, 0, -279, 0, -18, -171, 0, 0, 126, 0, 0, 648, 0, 0, 18, 0, 0, -459, 0, -81, -135, 0, 0, 99, 0, 0, -36, 0, 288, 90, 0, 9, -558, 0, 18, 450, 0, 0, -279, 0, -342, -189, 0, -198, -108, 0, 0, 225, 0, 0, -81, 0, 0, -144, 0, 45, 189, 0, 9, 351, 0, 0, -396, 0, 117, -333, 0, 0, 153, 0, 0, 378, 0, 0, 108, 0, -315, 117, 0, 63, -216, 0, 243, 279, 0, -18, 126, 0, -36, 288, 0, 0, -297, 0, 0, -225, 0, 0, -126, 0, -72, -288, 0, 0, 315, 0, 0, 117, 0, 0, 216, 0, 9, -270, 0, 225, 18, 0, 0, 486, 0, 0, -648, 0, 144, -369, 0, 243, 144, 0, 90, 738, 0, 0, 297, 0, 0, 45, 0, 9, -216, 0, 18, -45, 0, 243, -171, 0, -144, -9, 0, 243, 234, 0, 0, 351, 0, 243, 144, 0, -360, 54, 0, 0, -36, 0, -18, 72, 0, -81, -315, 0, 0, -234, 0, 243, 450, 0, 0, 522, 0, 0, -324, 0, 0, -261, 0, 243, -63, 0, -90, 81, 0, 9, 477, 0, 18, -261, 0, 0, 90, 0, 0, 531, 0, 0, -72, 0, 36, -153, 0, 0, -315, 0, 306, 477, 0, 243, 144, 0, 243, 27, 0, 243, 261, 0, 126, 126, 0, 0, -162, 0, 0, -243, 0, 243, 594, 0, 0, 288, 0, 0, -72, 0, 0, -297, 0, -99, 153, 0, -36, 630, 0, 0, 207, 0, -333, -252, 0, 0, -234, 0, 0, 252, 0, 153, 45, 0, 63, -72, 0, 0, -639, 0, 252, 387, 0, 243, 387, 0, 0, 162, 0, 0, 666, 0, 0, 90, 0, 0, -306, 0, 0, -297, 0, 0, 54, 0, 0, 972, 0, 252, -63, 0, 18, -486, 0, 0, 153, 0, 315, 144, 0, 0, 630, 0, 36, -270, 0, 0, 576, 0, 0, 234, 0, 45, 108, 0, -342, 36, 0, -324, -387, 0, 0, 180, 0, 0, 90, 0, 99, 162, 0, -324, 216, 0, 0, 378, 0, -342, -63, 0, -324, -216, 0, 252, -288, 0, 18, 657, 0, 0, 180, 0, 72, -63, 0, 0, 459, 0, 0, 720, 0, 0, -54, 0, -324, -261, 0, 0, -216, 0, 252, 315, 0, 243, 252, 0, 0, -90, 0, -324, 162, 0, 0, 108, 0, 0, 333, 0, 90, 54, 0, 0, 702, 0, -396, 36, 0, -99, -27, 0, -36, -117, 0, -234, 90, 0, 0, 531, 0, 0, -414, 0, -72, -36, 0, -324, -36, 0, 0, 243, 0, 0, 360, 0, 261, -369, 0, 243, 396, 0, 0, 342, 0, 0, 522, 0, -324, 90, 0, 243, -279, 0, 0, 72, 0, -126, -81, 0, 45, -81, 0, 9, 540, 0, 18, 522, 0, 0, 369, 0, 0, 18, 0, 0, 450, 0, 0, 423, 0, 0, 144, 0, 0, -342, 0, 243, 729, 0, -18, 819, 0, -81, 396, 0, -324, -297, 0, 0, -450, 0, 0, -90, 0, 0, 234, 0, 333, 459, 0, 0, -144, 0, 0, 576, 0, 9, 423, 0, 18, -252, 0, -324, 261, 0, 0, -306, 0, 0, 333, 0, -378, -126, 0, 0, 486, 0, 0, 891, 0, -360, -423, 0, 9, -216, 0, 261, 387, 0, 0, 585, 0, 171, 306, 0, 144, 36, 0, 243, 81, 0, 0, 225, 0, 243, 423, 0, 0, -162, 0, -18, 81, 0, -36, 315, 0, 0, 396, 0, 72, -72, 0, -324, 432, 0, 0, 153, 0, 0, -9, 0, 0, 54, 0, -90, 441, 0, 9, 576, 0, 0, -522, 0, -252, 72, 0, 243, 216, 0, 342, 702, 0, 0, 1008, 0, -324, -342, 0, 0, 36, 0, 243, 468, 0, 9, -162, 0, 18, -225, 0, 0, 135, 0, 0, 783, 0, 99, 414, 0, -333, -18, 0, 0, 576, 0, 63, 36, 0, 0, 135, 0, -18, -423, 0, 0, 468, 0, 0, 828, 0, 0, 117, 0, 0, 63, 0, -81, -126, 0, -180, 504, 0, 0, 576, 0, 0, 108, 0, 9, 396, 0, 18, 504, 0, 0, -54, 0, -324, -279, 0, 0, -9, 0, 0, -270, 0, 243, 954, 0, 180, -198, 0, 0, 1089, 0, 9, 297, 0, 0, 81, 0, 0, -72, 0, 0, 36, 0, 0, 459, 0, 0, -54, 0, 153, -288, 0, -324, 693, 0, 45, 540, 0, -18, 198, 0, -36, -153, 0, 0, 252, 0, 0, 504, 0, 243, 504, 0, -72, 414, 0, 0, -621, 0, 243, 396, 0, -81, 252, 0, 9, 468, 0, 0, 603, 0, 117, -279, 0, 0, 315, 0, 0, -387, 0, 279, 630, 0, 0, 783, 0, 0, 333, 0, 0, -558, 0, 9, 450, 0, -432, 495, 0, 0, 477, 0, -144, -144, 0, 0, -144, 0, 0, 675, 0, 0, 90, 0, 0, 144, 0, -324, -54, 0, -18, 36, 0, 0, 234, 0, 360, 54, 0, 243, 1305, 0, 0, 612, 0, 0, 702, 0, 0, -315, 0, 63, -126, 0, 0, 270, 0, 9, -45, 0, -369, 171, 0, 243, 693, 0, 0, 810, 0, 0, 252, 0, -288, -189, 0, 0, 63, 0, 0, 207, 0, 45, 369, 0, 9, 108, 0, 0, 126, 0, -486, 585, 0, 0, 558, 0, -486, -126, 0, 0, 99, 0, -486, -72, 0, 0, 198, 0, 288, -180, 0, -18, 522, 0, -36, 828, 0, 243, 0, 0, -486, -189, 0, 0, 1053, 0, 0, 648, 0, 0, 684, 0, -486, -315, 0, 0, 126, 0, -459, 288, 0, 0, 522, 0, 369, 351, 0, 0, -540, 0, -198, -171, 0, 0, 441, 0, 90, -63, 0, -81, 711, 0, -486, 594, 0, -387, 594, 0, -306, -108, 0, 0, 288, 0, 0, 468, 0, 0, -333, 0, -450, -297, 0, 243, 468, 0, 0, 1026, 0, 0, 639, 0, -18, -72, 0, 0, 225, 0, 126, 54, 0, 0, 288, 0, -288, -90, 0, 0, 234, 0, 0, 675, 0, 0, 738, 0, 108, 243, 0, -315, 522, 0, -468, -486, 0, 0, 216, 0, 72, -54, 0, 243, 657, 0, 0, 720, 0, 0, -27, 0, -126, -360, 0, 0, 414, 0, -477, -171, 0, 0, 1377, 0, 0, -477, 0, -81, 180, 0, 243, 801, 0, 0, -198, 0, 0, 36, 0, 0, -594, 0, 0, 423, 0, -18, 531, 0, -36, 126, 0, 0, 414, 0, 171, 225, 0, 0, 162, 0, -72, -189, 0, 243, 846, 0, 0, 531, 0, 0, -225, 0, -477, -243, 0, 0, -9, 0, 0, 603, 0, 0, 909, 0, 0, -198, 0, 0, 360, 0, 0, 405, 0, 0, 513, 0, 0, -351, 0, -315, 333, 0, -468, 90, 0, 117, 990, 0, 0, -162, 0, 0, 612, 0, 0, 270, 0, 0, -54, 0, 306, -63, 0, 45, 144, 0, -18, 1206, 0], 'weight': 2, 'weight_parity': 1}