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av_fq_isog • Show schema
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{'abvar_count': 1148, 'abvar_counts': [1148, 950544, 893488400, 854155036224, 819026526795428, 787673998369440000, 756946119346885141268, 727424162042050503201024, 699053886610974055320563600, 671790441463289974604933907984], 'abvar_counts_str': '1148 950544 893488400 854155036224 819026526795428 787673998369440000 756946119346885141268 727424162042050503201024 699053886610974055320563600 671790441463289974604933907984 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.383045975359039, 0.79957088263007], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 989, 29992, 924889, 28608127, 887516318, 27512693497, 852892257169, 26439632244472, 819628180401029], 'curve_counts_str': '37 989 29992 924889 28608127 887516318 27512693497 852892257169 26439632244472 819628180401029 ', 'curves': ['y^2=30*x^6+23*x^5+4*x^4+3*x^3+25*x^2+22*x+17', 'y^2=28*x^6+14*x^5+21*x^4+11*x^3+6*x^2+x+7', 'y^2=15*x^6+23*x^5+29*x^4+2*x^3+22*x^2+19*x+2', 'y^2=10*x^6+24*x^5+6*x^4+26*x^3+24*x^2+15*x+8', 'y^2=15*x^6+14*x^5+6*x^4+12*x^3+30*x^2+6*x+5', 'y^2=29*x^6+5*x^5+27*x^3+28*x^2+23*x+18', 'y^2=11*x^6+12*x^5+18*x^4+30*x^3+17*x^2+4*x+3', 'y^2=27*x^6+9*x^5+25*x^4+7*x^3+2*x^2+15*x+1', 'y^2=29*x^6+18*x^5+25*x^4+30*x^3+10*x^2+13*x+4', 'y^2=10*x^6+x^5+26*x^4+30*x^3+20*x^2+x+7', 'y^2=30*x^6+9*x^5+23*x^4+8*x^3+19*x^2+26*x+27', 'y^2=30*x^6+28*x^5+4*x^3+11*x^2+16', 'y^2=28*x^6+7*x^5+29*x^4+18*x^3+21*x^2+13*x+8', 'y^2=28*x^6+26*x^5+5*x^4+10*x^3+9*x^2+27*x+13', 'y^2=12*x^6+3*x^5+24*x^4+2*x^3+7*x^2+30*x+2', 'y^2=17*x^6+2*x^5+22*x^4+13*x^3+30*x^2+7*x+9', 'y^2=5*x^6+19*x^5+18*x^4+x^3+6*x^2+22*x+26', 'y^2=x^6+28*x^5+28*x^4+29*x^3+9*x^2+11*x+6', 'y^2=10*x^6+19*x^5+23*x^4+x^3+9*x^2+27*x+27', 'y^2=16*x^6+2*x^5+x^4+11*x^3+3*x^2+26*x+17', 'y^2=12*x^6+3*x^5+6*x^4+5*x^3+6*x^2+3*x+27', 'y^2=25*x^6+24*x^5+10*x^4+x^3+9*x^2+14*x+15', 'y^2=4*x^6+19*x^5+2*x^3+7*x^2+22*x+28', 'y^2=13*x^6+x^5+12*x^4+12*x^3+2*x^2+3*x+20', 'y^2=9*x^6+22*x^5+16*x^4+25*x^3+28*x^2+2*x+8', 'y^2=19*x^5+24*x^4+30*x^3+21*x^2+18*x+19', 'y^2=8*x^6+13*x^5+6*x^4+17*x^3+x^2+29*x+1', 'y^2=8*x^6+19*x^5+8*x^4+16*x^3+19*x^2+11*x+2', 'y^2=20*x^6+23*x^5+14*x^4+26*x^3+19*x^2+12*x+21', 'y^2=28*x^6+4*x^5+2*x^4+9*x^3+19*x^2+14*x+15', 'y^2=30*x^6+10*x^5+20*x^4+22*x^3+23*x^2+12*x+25', 'y^2=7*x^5+30*x^4+9*x^3+23*x^2+18*x+9'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 16, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.3.1', '2.0.43.1'], 'geometric_splitting_field': '4.0.16641.1', 'geometric_splitting_polynomials': [[121, -11, -10, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 32, 'label': '2.31.f_ba', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.3.1', '2.0.43.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 26, 155, 961], 'poly_str': '1 5 26 155 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 5, -36], 'simple_distinct': ['1.31.ae', '1.31.j'], 'simple_factors': ['1.31.aeA', '1.31.jA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F-14', '2,9*F+1', '13,17*F+V+31', '13,7*V-18'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.16641.1', 'splitting_polynomials': [[121, -11, -10, -1, 1]], 'twist_count': 12, 'twists': [['2.31.an_du', '2.961.bb_boi', 2], ['2.31.af_ba', '2.961.bb_boi', 2], ['2.31.n_du', '2.961.bb_boi', 2], ['2.31.c_ab', '2.29791.hs_bmyg', 3], ['2.31.u_gf', '2.29791.hs_bmyg', 3], ['2.31.au_gf', '2.887503681.ssa_hcpzny', 6], ['2.31.aq_ev', '2.887503681.ssa_hcpzny', 6], ['2.31.ac_abl', '2.887503681.ssa_hcpzny', 6], ['2.31.ac_ab', '2.887503681.ssa_hcpzny', 6], ['2.31.c_abl', '2.887503681.ssa_hcpzny', 6], ['2.31.q_ev', '2.887503681.ssa_hcpzny', 6]], 'weak_equivalence_count': 16, 'zfv_index': 1014, 'zfv_index_factorization': [[2, 1], [3, 1], [13, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4644, 'zfv_singular_count': 8, 'zfv_singular_primes': ['3,F-14', '2,9*F+1', '13,17*F+V+31', '13,7*V-18']}
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av_fq_endalg_factors • Show schema
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id: 21592
{'base_label': '2.31.f_ba', 'extension_degree': 1, 'extension_label': '1.31.ae', 'multiplicity': 1}
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id: 21593
{'base_label': '2.31.f_ba', 'extension_degree': 1, 'extension_label': '1.31.j', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.ae', 'galois_group': '2T1', 'places': [['25', '1'], ['5', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.j', 'galois_group': '2T1', 'places': [['4', '1'], ['26', '1']]}
