-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 900, 'abvar_counts': [900, 810000, 594872100, 497871360000, 420707274322500, 353872815358410000, 297558232710299216100, 250245058424216002560000, 210457284365201134622256900, 176994610667867267834006250000], 'abvar_counts_str': '900 810000 594872100 497871360000 420707274322500 353872815358410000 297558232710299216100 250245058424216002560000 210457284365201134622256900 176994610667867267834006250000 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.5, 0.5], 'center_dim': 2, 'curve_count': 30, 'curve_counts': [30, 958, 24390, 703918, 20511150, 594920878, 17249876310, 500243583838, 14507145975870, 420707315344798], 'curve_counts_str': '30 958 24390 703918 20511150 594920878 17249876310 500243583838 14507145975870 420707315344798 ', 'curves': ['y^2=x^5+28', 'y^2=2*x^5+27', 'y^2=19*x^5+3*x^4+8*x^3+16*x^2+6*x+27', 'y^2=7*x^6+18*x^5+17*x^4+18*x^3+12*x^2+18*x+22', 'y^2=14*x^6+7*x^5+5*x^4+7*x^3+24*x^2+7*x+15', 'y^2=27*x^6+17*x^5+28*x^4+21*x^3+28*x^2+17*x+27', 'y^2=25*x^6+5*x^5+27*x^4+13*x^3+27*x^2+5*x+25', 'y^2=2*x^6+8*x^5+9*x^4+26*x^3+13*x^2+26*x+11', 'y^2=4*x^6+16*x^5+18*x^4+23*x^3+26*x^2+23*x+22', 'y^2=9*x^6+16*x^5+28*x^4+x^3+28*x^2+16*x+9', 'y^2=18*x^6+3*x^5+27*x^4+2*x^3+27*x^2+3*x+18', 'y^2=x^5+25*x', 'y^2=x^6+25*x^5+8*x^4+19*x^3+13*x^2+16*x+1', 'y^2=x^6+x^3+28', 'y^2=2*x^6+2*x^3+27', 'y^2=13*x^6+27*x^5+17*x^4+x^3+12*x^2+27*x+16', 'y^2=26*x^6+25*x^5+5*x^4+2*x^3+24*x^2+25*x+3', 'y^2=27*x^6+17*x^5+18*x^4+14*x^3+15*x^2+11*x+12', 'y^2=25*x^6+5*x^5+7*x^4+28*x^3+x^2+22*x+24', 'y^2=17*x^6+26*x^5+8*x^4+8*x^3+8*x^2+26*x+17', 'y^2=5*x^6+23*x^5+16*x^4+16*x^3+16*x^2+23*x+5', 'y^2=x^6+x^3+16', 'y^2=2*x^6+2*x^3+3', 'y^2=19*x^6+6*x^5+11*x^4+23*x^3+3*x^2+5*x+3', 'y^2=9*x^6+12*x^5+22*x^4+17*x^3+6*x^2+10*x+6', 'y^2=x^6+28', 'y^2=2*x^6+27', 'y^2=x^6+21', 'y^2=x^6+17*x^5+24*x^4+20*x^3+5*x^2+17*x+28', 'y^2=11*x^6+8*x^5+3*x^4+20*x^3+11*x^2+24*x+26', 'y^2=22*x^6+16*x^5+6*x^4+11*x^3+22*x^2+19*x+23', 'y^2=7*x^6+20*x^5+x^4+2*x^3+28*x^2+20*x+22', 'y^2=14*x^6+11*x^5+2*x^4+4*x^3+27*x^2+11*x+15', 'y^2=27*x^6+10*x^5+23*x^4+12*x^3+23*x^2+10*x+27', 'y^2=25*x^6+20*x^5+17*x^4+24*x^3+17*x^2+20*x+25', 'y^2=x^6+x^3+26'], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1'], '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 36, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': True, 'jacobian_count': 36, 'label': '2.29.a_cg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 2, 'number_fields': ['2.0.116.1'], 'p': 29, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 58, 0, 841], 'poly_str': '1 0 58 0 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1], 'simple_distinct': ['1.29.a'], 'simple_factors': ['1.29.aA', '1.29.aB'], 'simple_multiplicities': [2], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.0.116.1', 'splitting_polynomials': [[29, 0, 1]], 'twist_count': 5, 'twists': [['2.29.a_abd', '2.24389.a_cuec', 3], ['2.29.a_acg', '2.707281.aezk_jhlqs', 4], ['2.29.a_a', '2.500246412961.agezcm_ojselnzuc', 8], ['2.29.a_bd', '2.353814783205469041.ahsgpsqe_wgkdhummygvwg', 12]]}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 19549
{'base_label': '2.29.a_cg', 'extension_degree': 1, 'extension_label': '1.29.a', 'multiplicity': 2}
-
id: 19550
{'base_label': '2.29.a_cg', 'extension_degree': 2, 'extension_label': '1.841.cg', 'multiplicity': 2}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0'], 'center': '2.0.116.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.a', 'galois_group': '2T1', 'places': [['0', '1']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.841.cg', 'galois_group': '1T1', 'places': [['0']]}
