Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
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| Column |
Type |
Example |
| abvar_count |
numeric |
264243 |
| abvar_counts |
numeric[] |
[264243, 68468796459, 18016386596719056, 4722401796122344995171, 1237940232490679324554136343, 32451... |
| abvar_counts_str |
text |
'264243 68468796459 18016386596719056 4722401796122344995171 1237940232490679324554136343 3245185613... |
| all_polarized_product |
boolean |
|
| all_unpolarized_product |
boolean |
|
| angle_corank |
smallint |
0 |
| angle_rank |
smallint |
2 |
| angles |
double precision[] |
[0.20494471961641, 0.864129405174632] |
| center_dim |
smallint |
4 |
| cohen_macaulay_max |
smallint |
|
| curve_count |
integer |
518 |
| curve_counts |
numeric[] |
[518, 261186, 134232539, 68719990610, 35184377580058, 18014398935487047, 9223372032091285054, 472236... |
| curve_counts_str |
text |
'518 261186 134232539 68719990610 35184377580058 18014398935487047 9223372032091285054 4722366482943... |
| curves |
text[] |
|
| dim1_distinct |
smallint |
0 |
| dim1_factors |
smallint |
0 |
| dim2_distinct |
smallint |
1 |
| dim2_factors |
smallint |
1 |
| dim3_distinct |
smallint |
0 |
| dim3_factors |
smallint |
0 |
| dim4_distinct |
smallint |
0 |
| dim4_factors |
smallint |
0 |
| dim5_distinct |
smallint |
0 |
| dim5_factors |
smallint |
0 |
| endomorphism_ring_count |
smallint |
|
| g |
smallint |
2 |
| galois_groups |
text[] |
['4T3'] |
| geom_dim1_distinct |
smallint |
0 |
| geom_dim1_factors |
smallint |
0 |
| geom_dim2_distinct |
smallint |
1 |
| geom_dim2_factors |
smallint |
1 |
| geom_dim3_distinct |
smallint |
0 |
| geom_dim3_factors |
smallint |
0 |
| geom_dim4_distinct |
smallint |
0 |
| geom_dim4_factors |
smallint |
0 |
| geom_dim5_distinct |
smallint |
0 |
| geom_dim5_factors |
smallint |
0 |
| geometric_center_dim |
smallint |
4 |
| geometric_extension_degree |
smallint |
1 |
| geometric_galois_groups |
text[] |
['4T3'] |
| geometric_number_fields |
text[] |
['4.0.9291600876929.1'] |
| geometric_splitting_field |
text |
'4.0.9291600876929.1' |
| geometric_splitting_polynomials |
numeric[] |
[[259113, -3505, -476, -1, 1]] |
| group_structure_count |
smallint |
|
| has_geom_ss_factor |
boolean |
False |
| has_jacobian |
smallint |
1 |
| has_principal_polarization |
smallint |
1 |
| hyp_count |
integer |
|
| is_cyclic |
boolean |
True |
| is_geometrically_simple |
boolean |
True |
| is_geometrically_squarefree |
boolean |
True |
| is_primitive |
boolean |
True |
| is_simple |
boolean |
True |
| is_squarefree |
boolean |
True |
| is_supersingular |
boolean |
False |
| jacobian_count |
integer |
|
| label |
text |
'2.512.f_arz' |
| max_divalg_dim |
smallint |
1 |
| max_geom_divalg_dim |
smallint |
1 |
| max_twist_degree |
integer |
2 |
| newton_coelevation |
smallint |
2 |
| newton_elevation |
smallint |
0 |
| noncyclic_primes |
integer[] |
[] |
| number_fields |
text[] |
['4.0.9291600876929.1'] |
| p |
smallint |
2 |
| p_rank |
smallint |
2 |
| p_rank_deficit |
smallint |
0 |
| pic_prime_gens |
integer[] |
|
| poly |
integer[] |
[1, 5, -467, 2560, 262144] |
| poly_str |
text |
'1 5 -467 2560 262144 ' |
| primitive_models |
text[] |
[] |
| principal_polarization_count |
integer |
|
| q |
integer |
512 |
| real_poly |
integer[] |
[1, 5, -1491] |
| simple_distinct |
text[] |
['2.512.f_arz'] |
| simple_factors |
text[] |
['2.512.f_arzA'] |
| simple_multiplicities |
smallint[] |
[1] |
| singular_primes |
text[] |
|
| size |
integer |
|
| slopes |
text[] |
['0A', '0B', '1A', '1B'] |
| splitting_field |
text |
'4.0.9291600876929.1' |
| splitting_polynomials |
numeric[] |
[[259113, -3505, -476, -1, 1]] |
| twist_count |
integer |
2 |
| twists |
jsonb |
[['2.512.af_arz', '2.262144.abkx_bouij', 2]] |
| weak_equivalence_count |
smallint |
|
| zfv_index |
numeric |
|
| zfv_index_factorization |
numeric[] |
|
| zfv_is_bass |
boolean |
|
| zfv_is_maximal |
boolean |
|
| zfv_pic_size |
integer |
|
| zfv_plus_index |
numeric |
|
| zfv_plus_index_factorization |
numeric[] |
|
| zfv_plus_norm |
numeric |
|
| zfv_singular_count |
smallint |
|
| zfv_singular_primes |
text[] |
|
{'abvar_count': 21, 'abvar_counts': [21, 147, 2268, 28371, 371721, 4826304, 62746509, 815751363, 10604381004, 137859052107], 'abvar_counts_str': '21 147 2268 28371 371721 4826304 62746509 815751363 10604381004 137859052107 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.922789520844367], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 21, 'curve_counts': [21, 147, 2268, 28371, 371721, 4826304, 62746509, 815751363, 10604381004, 137859052107], 'curve_counts_str': '21 147 2268 28371 371721 4826304 62746509 815751363 10604381004 137859052107 ', 'curves': ['y^2=x^3+4'], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 90, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '1.13.h', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.3.1'], 'p': 13, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 7, 13], 'poly_str': '1 7 13 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 13, 'real_poly': [1, 7], 'simple_distinct': ['1.13.h'], 'simple_factors': ['1.13.hA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 1, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 6, 'twists': [['1.13.ah', '1.169.ax', 2], ['1.13.af', '1.2197.cs', 3], ['1.13.ac', '1.2197.cs', 3], ['1.13.c', '1.4826809.atm', 6], ['1.13.f', '1.4826809.atm', 6]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3, 'zfv_singular_count': 0, 'zfv_singular_primes': []}