Formats: - HTML - YAML - JSON - 2025-12-29T16:29:40.331299
Query: /api/av_fq_isog/?_offset=0
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{'abvar_count': 2502, 'abvar_counts': [2502, 6350076, 10341999486, 23410977591024, 51472151345634822, 112345538231770228476, 246950447181291821472606, 542803066600671534371749632, 1192542437802225947570406224406, 2620005269819662491862316150231676], 'abvar_counts_str': '2502 6350076 10341999486 23410977591024 51472151345634822 112345538231770228476 246950447181291821472606 542803066600671534371749632 1192542437802225947570406224406 2620005269819662491862316150231676 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.286919669726084, 0.555271725591208, 0.647776216412285], 'center_dim': 6, 'curve_count': 14, 'curve_counts': [14, 216, 2144, 28700, 373364, 4822092, 62719538, 815734172, 10604580698, 137858998356], 'curve_counts_str': '14 216 2144 28700 373364 4822092 62719538 815734172 10604580698 137858998356 ', 'curves': ['y^2=x^8+2*x^7+11*x^6+4*x^5+x^4+3*x^3+4*x^2+12*x+11', 'y^2=2*x^8+11*x^7+12*x^6+7*x^4+12*x^3+9*x^2+5*x+5', 'y^2=x^8+8*x^7+6*x^6+11*x^5+4*x^4+8*x^3+3*x^2+x+9', 'y^2=x^8+4*x^7+5*x^6+12*x^5+6*x^4+5*x^3+7*x^2+9*x+12', 'y^2=x^8+10*x^7+9*x^6+8*x^5+3*x^4+8*x^3+9*x^2+x+2', 'y^2=x^8+10*x^7+7*x^6+2*x^5+10*x^4+10*x^3+5*x^2+1', 'y^2=2*x^8+12*x^7+6*x^6+11*x^5+5*x^4+x^3+3*x^2+2*x+6', 'y^2=2*x^8+7*x^7+4*x^4+x^3+9*x^2+x+10', 'y^2=x^8+12*x^7+4*x^6+x^5+3*x^4+8*x^3+6*x^2+7*x+4', 'y^2=2*x^8+12*x^7+2*x^6+8*x^5+3*x^4+6*x^3+11*x^2+6*x+5', 'y^2=x^8+3*x^7+7*x^6+5*x^4+8*x^3+3*x^2+2*x+12', 'y^2=x^8+10*x^7+7*x^6+2*x^5+11*x^3+11*x^2+7*x+1', 'y^2=x^8+11*x^7+11*x^6+6*x^5+12*x^4+12*x^3+3*x+10', 'y^2=2*x^8+x^7+9*x^5+7*x^4+4*x^3+6*x^2+11*x+1', 'y^2=2*x^8+8*x^7+2*x^6+12*x^5+6*x^4+7*x^3+5*x^2+4*x+12', 'y^2=2*x^8+11*x^7+9*x^6+4*x^4+x^3+8*x^2+2*x+8', 'y^2=2*x^8+8*x^7+6*x^6+11*x^5+2*x^4+10*x^3+6*x^2+9', 'y^2=x^8+11*x^7+4*x^6+5*x^5+4*x^4+11*x^3+12*x^2+5*x+9', 'y^2=x^8+2*x^7+5*x^6+10*x^5+x^3+8*x+6', 'y^2=x^8+6*x^7+3*x^6+10*x^4+8*x^3+6*x^2+7*x+5', 'y^2=2*x^8+x^7+3*x^6+7*x^5+x^4+7*x^3+3*x^2+6*x+10', 'y^2=x^8+3*x^7+10*x^6+9*x^5+9*x^4+9*x^3+11*x^2+x+7', 'y^2=2*x^8+4*x^7+4*x^6+12*x^5+8*x^4+8*x^3+12*x^2+9*x+10', 'y^2=2*x^8+8*x^7+8*x^6+6*x^5+9*x^4+2*x^3+8*x^2+2*x+3', 'y^2=x^8+9*x^7+2*x^6+4*x^5+8*x^4+10*x^3+9*x^2+x+6', 'y^2=2*x^8+8*x^7+8*x^6+7*x^4+x^3+12*x^2+4*x+2', 'y^2=x^8+10*x^7+2*x^6+3*x^5+3*x^4+11*x^3+9*x^2+1', 'y^2=x^8+9*x^7+12*x^6+4*x^5+5*x^4+4*x^3+3*x^2+8*x+12', 'y^2=2*x^8+6*x^7+9*x^5+3*x^4+12*x^3+5*x^2+8*x+9'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.5364381632.2'], 'geometric_splitting_field': '6.0.5364381632.2', 'geometric_splitting_polynomials': [[1383, -944, 241, 24, -9, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 29, 'id': 1353849, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.13.a_x_as', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['6.0.5364381632.2'], 'p': 13, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 0, 23, -18, 299, 0, 2197], 'poly_str': '1 0 23 -18 299 0 2197 ', 'primitive_models': [], 'q': 13, 'real_poly': [1, 0, -16, -18], 'simple_distinct': ['3.13.a_x_as'], 'simple_factors': ['3.13.a_x_asA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.5364381632.2', 'splitting_polynomials': [[1383, -944, 241, 24, -9, -2, 1]], 'twist_count': 2, 'twists': [['3.13.a_x_s', '3.169.bu_brj_bajo', 2]]}