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av_fq_isog • Show schema
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{'abvar_count': 961, 'abvar_counts': [961, 808201, 590684416, 498033661225, 420873882374521, 353864016065007616, 297552742065499031281, 250245432242435560041225, 210457448478946780798494976, 176994596791493558216599746841], 'abvar_counts_str': '961 808201 590684416 498033661225 420873882374521 353864016065007616 297552742065499031281 250245432242435560041225 210457448478946780798494976 176994596791493558216599746841 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.529596959677109, 0.529596959677109], 'center_dim': 2, 'curve_count': 32, 'curve_counts': [32, 956, 24218, 704148, 20519272, 594906086, 17249558008, 500244331108, 14507157288482, 420707282361356], 'curve_counts_str': '32 956 24218 704148 20519272 594906086 17249558008 500244331108 14507157288482 420707282361356 ', 'curves': ['y^2=6*x^6+15*x^5+15*x^4+6*x^3+10*x^2+26*x+5', 'y^2=6*x^6+16*x^5+12*x^4+4*x^3+8*x^2+10*x+20', 'y^2=x^6+23*x^5+23*x^4+21*x^3+x^2+24*x+20', 'y^2=15*x^6+3*x^5+15*x^4+2*x^3+2*x^2+24*x+17', 'y^2=10*x^6+9*x^5+28*x^4+14*x^3+5*x^2+22*x+26', 'y^2=11*x^6+26*x^5+9*x^4+6*x^3+5*x^2+21*x+22', 'y^2=6*x^6+20*x^5+5*x^4+7*x^3+17*x^2+17*x+19', 'y^2=10*x^6+x^5+8*x^4+21*x^2+x+19', 'y^2=20*x^6+13*x^5+10*x^4+15*x^3+12*x^2+10*x+11', 'y^2=26*x^6+17*x^5+3*x^4+13*x^3+17*x^2+11*x+18', 'y^2=11*x^6+19*x^5+22*x^4+5*x^3+15*x^2+x+11'], '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.115.1'], 'geometric_splitting_field': '2.0.115.1', 'geometric_splitting_polynomials': [[29, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 11, 'label': '2.29.c_ch', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.115.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 59, 58, 841], 'poly_str': '1 2 59 58 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, 2, 1], 'simple_distinct': ['1.29.b'], 'simple_factors': ['1.29.bA', '1.29.bB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.115.1', 'splitting_polynomials': [[29, -1, 1]], 'twist_count': 6, 'twists': [['2.29.ac_ch', '2.841.ek_hhr', 2], ['2.29.a_cf', '2.841.ek_hhr', 2], ['2.29.ab_abc', '2.24389.agq_dfco', 3], ['2.29.a_acf', '2.707281.aeqo_imeyd', 4], ['2.29.b_abc', '2.594823321.eslg_jkgsdvy', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.29.c_ch', 'extension_degree': 1, 'extension_label': '1.29.b', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.115.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.b', 'galois_group': '2T1', 'places': [['0', '1'], ['28', '1']]}