-
av_fq_isog • Show schema
{'abvar_count': 9220, 'abvar_counts': [9220, 85008400, 832970509060, 7834374144000000, 73742412680461764100, 693839868963675542083600, 6528362774606052498258990340, 61425363440064272597581824000000, 577951262543040979719129108740683780, 5437943427935527980046230802084048810000], 'abvar_counts_str': '9220 85008400 832970509060 7834374144000000 73742412680461764100 693839868963675542083600 6528362774606052498258990340 61425363440064272597581824000000 577951262543040979719129108740683780 5437943427935527980046230802084048810000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.032375263178838, 0.967624736821162], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 98, 'curve_counts': [98, 9030, 912674, 88494718, 8587340258, 832969013190, 80798284478114, 7837433351159038, 760231058654565218, 73742412671430702150], 'curve_counts_str': '98 9030 912674 88494718 8587340258 832969013190 80798284478114 7837433351159038 760231058654565218 73742412671430702150 ', 'curves': ['y^2=31*x^6+55*x^5+95*x^4+62*x^2+10*x+16', 'y^2=27*x^6+91*x^5+32*x^4+39*x^3+92*x^2+8*x+42', 'y^2=20*x^6+5*x^5+34*x^4+76*x^2+21*x+69', 'y^2=61*x^6+4*x^5+25*x^4+32*x^3+39*x^2+49*x+57', 'y^2=18*x^6+95*x^5+47*x^4+66*x^3+67*x^2+73*x+52', 'y^2=10*x^6+64*x^5+2*x^4+44*x^3+28*x^2+31*x+86', 'y^2=39*x^6+37*x^5+21*x^4+63*x^2+55*x+83', 'y^2=59*x^6+36*x^5+88*x^4+x^3+41*x^2+25*x+31', 'y^2=41*x^6+92*x^5+49*x^4+8*x^2+19*x+29', 'y^2=7*x^6+78*x^5+85*x^4+27*x^2+78*x+40', 'y^2=26*x^6+84*x^5+3*x^4+85*x^2+14*x+82', 'y^2=78*x^6+42*x^5+22*x^4+16*x^2+82*x+19', 'y^2=87*x^6+55*x^5+29*x^4+63*x^2+59*x+23', 'y^2=7*x^6+20*x^5+86*x^4+35*x^3+59*x^2+7*x+94', 'y^2=x^6+61*x^5+61*x^4+12*x^3+52*x^2+65*x+55', 'y^2=87*x^6+70*x^5+26*x^4+15*x^2+12*x+82', 'y^2=78*x^6+10*x^5+18*x^4+54*x^2+7*x+69', 'y^2=4*x^6+28*x^5+9*x^4+66*x^2+57*x+65', 'y^2=60*x^6+28*x^5+24*x^4+6*x^2+71*x+7', 'y^2=18*x^6+35*x^5+82*x^4+63*x^3+22*x^2+2*x+19', 'y^2=61*x^6+44*x^5+4*x^4+62*x^2+2*x+43'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 8, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 21, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 21, 'label': '2.97.a_ahi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.2304.2'], 'p': 97, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 8], [1, 5, 2, 8]], 'poly': [1, 0, -190, 0, 9409], 'poly_str': '1 0 -190 0 9409 ', 'primitive_models': [], 'principal_polarization_count': 43, 'q': 97, 'real_poly': [1, 0, -384], 'simple_distinct': ['2.97.a_ahi'], 'simple_factors': ['2.97.a_ahiA'], 'simple_multiplicities': [1], 'singular_primes': ['2,18*F-9*V+1'], 'size': 72, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2304.2', 'splitting_polynomials': [[9, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.97.ae_hq', '2.88529281.abzdk_bobauve', 4], ['2.97.a_hi', '2.88529281.abzdk_bobauve', 4], ['2.97.e_hq', '2.88529281.abzdk_bobauve', 4], ['2.97.ac_adp', '2.693842360995438000295041.afmjfuovrg_bnifjycselfieisrry', 12], ['2.97.c_adp', '2.693842360995438000295041.afmjfuovrg_bnifjycselfieisrry', 12]], 'weak_equivalence_count': 8, 'zfv_index': 128, 'zfv_index_factorization': [[2, 7]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 8, 'zfv_plus_index_factorization': [[2, 3]], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,18*F-9*V+1']} - av_fq_endalg_factors • Show schema
-
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.2304.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.97.a_ahi', 'galois_group': '4T2', 'places': [['82', '1', '0', '0'], ['39', '1', '0', '0'], ['15', '1', '0', '0'], ['58', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.9409.ahi', 'galois_group': '2T1', 'places': [['73', '1'], ['24', '1']]}
Abelian variety isogeny class data - 2.97.a_ahi