-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 2005, 'abvar_counts': [2005, 1886705, 2564346880, 3507960040025, 4809439769435125, 6583149008869867520, 9011960997321193344205, 12337525257945286538794025, 16890053678116979603614151680, 23122483979945479924713717632625], 'abvar_counts_str': '2005 1886705 2564346880 3507960040025 4809439769435125 6583149008869867520 9011960997321193344205 12337525257945286538794025 16890053678116979603614151680 23122483979945479924713717632625 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.566626788044867, 0.892012654626635], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 52, 'curve_counts': [52, 1380, 50626, 1871748, 69356292, 2565803190, 94930820596, 3512483252868, 129961738775962, 4808584437568900], 'curve_counts_str': '52 1380 50626 1871748 69356292 2565803190 94930820596 3512483252868 129961738775962 4808584437568900 ', 'curves': ['y^2=11*x^6+36*x^5+x^4+x^3+35*x^2+3', 'y^2=29*x^6+11*x^5+7*x^4+19*x^3+17*x^2+6*x+25', 'y^2=3*x^6+32*x^5+20*x^4+34*x^3+20*x^2+24*x+9', 'y^2=2*x^6+9*x^5+17*x^4+16*x^3+19*x+27', 'y^2=6*x^6+10*x^5+4*x^4+31*x^3+21*x^2+8*x+28', 'y^2=9*x^6+5*x^5+20*x^4+19*x^3+30*x^2+29*x+19', 'y^2=26*x^6+33*x^5+23*x^4+3*x^3+34*x^2+10*x+7', 'y^2=25*x^6+17*x^5+19*x^4+28*x^3+14*x^2+32*x+12', 'y^2=18*x^6+23*x^5+8*x^3+28*x^2+12*x+31', 'y^2=21*x^6+28*x^5+35*x^4+13*x^3+36*x^2+x+3', 'y^2=36*x^6+20*x^5+4*x^4+25*x^3+9*x^2+7', 'y^2=19*x^6+26*x^5+11*x^4+x^3+9*x^2+20*x+32', 'y^2=8*x^6+13*x^5+x^4+19*x^3+29*x^2+5*x+9', 'y^2=5*x^6+23*x^4+17*x^3+31*x^2+7*x+32', 'y^2=26*x^6+24*x^5+30*x^4+32*x^3+9*x^2+10*x+27', 'y^2=19*x^6+12*x^5+13*x^4+5*x^3+9*x^2+36', 'y^2=3*x^6+5*x^5+4*x^4+14*x^3+31*x^2+34*x+16', 'y^2=18*x^6+19*x^5+21*x^4+29*x^3+16*x^2+22*x+9', 'y^2=8*x^6+3*x^5+23*x^4+10*x^3+16*x^2+14*x+7', 'y^2=x^6+30*x^5+10*x^4+33*x^3+32*x^2+34*x+27', 'y^2=4*x^6+33*x^5+35*x^4+3*x^3+30*x^2+x+7', 'y^2=2*x^6+14*x^5+22*x^4+8*x^3+27*x^2+10*x+2', 'y^2=2*x^6+30*x^5+13*x^4+10*x^3+14*x^2+24*x+7', 'y^2=24*x^6+9*x^5+34*x^4+15*x^3+11*x^2+8*x+34', 'y^2=28*x^6+9*x^5+29*x^4+17*x^3+20*x^2+18*x+10', 'y^2=32*x^6+15*x^5+12*x^4+19*x^3+9*x^2+8*x+4', 'y^2=26*x^6+33*x^5+15*x^4+29*x^3+16*x^2+9*x+11', 'y^2=19*x^6+19*x^5+14*x^4+31*x^3+32*x^2+22*x+2', 'y^2=33*x^6+35*x^5+26*x^4+25*x^3+29*x^2+33*x+16', 'y^2=21*x^6+18*x^5+2*x^4+28*x^3+14*x^2+30*x+9', 'y^2=21*x^6+22*x^5+23*x^4+23*x^3+16*x^2+20*x+1', 'y^2=29*x^6+26*x^5+9*x^4+29*x^3+21*x^2+35*x+3'], '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': 3, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.58025.1'], 'geometric_splitting_field': '4.0.58025.1', 'geometric_splitting_polynomials': [[155, -15, 24, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 32, 'label': '2.37.o_dz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.58025.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 8], [1, 11, 1, 2]], 'poly': [1, 14, 103, 518, 1369], 'poly_str': '1 14 103 518 1369 ', 'primitive_models': [], 'principal_polarization_count': 32, 'q': 37, 'real_poly': [1, 14, 29], 'simple_distinct': ['2.37.o_dz'], 'simple_factors': ['2.37.o_dzA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+9*F+4*V+59'], 'size': 32, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.58025.1', 'splitting_polynomials': [[155, -15, 24, -1, 1]], 'twist_count': 2, 'twists': [['2.37.ao_dz', '2.1369.k_absn', 2]], 'weak_equivalence_count': 3, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 2321, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+9*F+4*V+59']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '2.37.o_dz', 'extension_degree': 1, 'extension_label': '2.37.o_dz', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.58025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.o_dz', 'galois_group': '4T3', 'places': [['31', '20', '4', '35'], ['22', '0', '27', '5']]}
