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av_fq_isog • Show schema
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{'abvar_count': 956, 'abvar_counts': [956, 913936, 887520764, 856379966464, 819628260305276, 787693106531143696, 756943935255330776636, 727420204942932912390144, 699053619999004541963009084, 671790485091053273492713436176], 'abvar_counts_str': '956 913936 887520764 856379966464 819628260305276 787693106531143696 756943935255330776636 727420204942932912390144 699053619999004541963009084 671790485091053273492713436176 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.234573766123171, 0.765426233876829], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 32, 'curve_counts': [32, 950, 29792, 927294, 28629152, 887537846, 27512614112, 852887617534, 26439622160672, 819628233629750], 'curve_counts_str': '32 950 29792 927294 28629152 887537846 27512614112 852887617534 26439622160672 819628233629750 ', 'curves': ['y^2=24*x^6+3*x^5+7*x^4+13*x^3+27*x^2+13*x+13', 'y^2=10*x^6+9*x^5+21*x^4+8*x^3+19*x^2+8*x+8', 'y^2=27*x^6+20*x^5+30*x^4+9*x^3+8*x^2+9*x+2', 'y^2=16*x^6+12*x^5+13*x^4+25*x^3+26*x^2+25*x+28', 'y^2=17*x^6+5*x^5+8*x^4+13*x^3+16*x^2+13*x+22', 'y^2=7*x^6+8*x^5+9*x^4+13*x^3+6*x^2+13*x+3', 'y^2=21*x^6+24*x^5+27*x^4+8*x^3+18*x^2+8*x+9', 'y^2=22*x^6+22*x^5+7*x^4+x^3+19*x^2+23*x+10', 'y^2=4*x^6+4*x^5+21*x^4+3*x^3+26*x^2+7*x+30', 'y^2=26*x^6+12*x^5+7*x^4+24*x^3+21*x^2+15*x+20', 'y^2=21*x^6+23*x^5+x^4+18*x^3+30*x^2+8*x+17', 'y^2=x^6+7*x^5+3*x^4+23*x^3+28*x^2+24*x+20', 'y^2=26*x^6+29*x^5+26*x^4+25*x^3+x^2+2*x+2', 'y^2=16*x^6+25*x^5+16*x^4+13*x^3+3*x^2+6*x+6', 'y^2=4*x^6+28*x^5+17*x^4+7*x^3+2*x^2+5*x+29', 'y^2=26*x^6+7*x^5+2*x^4+17*x^3+24*x^2+16*x+9', 'y^2=7*x^6+11*x^5+23*x^4+x^3+24*x^2+23*x+22', 'y^2=21*x^6+2*x^5+7*x^4+3*x^3+10*x^2+7*x+4', 'y^2=26*x^6+25*x^5+13*x^4+6*x^3+25*x+4', 'y^2=16*x^6+13*x^5+8*x^4+18*x^3+13*x+12', 'y^2=17*x^6+18*x^5+12*x^4+3*x^3+20*x^2+15*x+1', 'y^2=20*x^6+23*x^5+5*x^4+9*x^3+29*x^2+14*x+3', 'y^2=30*x^6+10*x^5+18*x^4+7*x^3+13*x^2+16*x+2', 'y^2=28*x^6+30*x^5+23*x^4+21*x^3+8*x^2+17*x+6', 'y^2=27*x^6+19*x^5+23*x^4+28*x^3+3*x^2+23*x+18', 'y^2=19*x^6+26*x^5+7*x^4+22*x^3+9*x^2+7*x+23', 'y^2=27*x^6+8*x^5+21*x^4+26*x^3+4*x^2+5*x+1', 'y^2=13*x^6+19*x^5+27*x^4+23*x^3+5*x^2+20*x+9', 'y^2=10*x^6+26*x^5+22*x^4+29*x^3+30*x^2+5*x+7', 'y^2=30*x^6+16*x^5+4*x^4+25*x^3+28*x^2+15*x+21', 'y^2=13*x^6+2*x^5+13*x^4+25*x^3+2*x^2+5*x+5', 'y^2=24*x^6+28*x^5+16*x^4+27*x^3+11*x^2+22*x+10', 'y^2=10*x^6+22*x^5+17*x^4+19*x^3+2*x^2+4*x+30', 'y^2=27*x^6+7*x^5+7*x^4+28*x^3+8*x^2+23*x+2', 'y^2=19*x^6+21*x^5+21*x^4+22*x^3+24*x^2+7*x+6', 'y^2=25*x^6+29*x^5+2*x^4+25*x^3+22*x^2+13', 'y^2=13*x^6+25*x^5+6*x^4+13*x^3+4*x^2+8', 'y^2=29*x^6+23*x^5+27*x^4+19*x^3+12*x^2+29*x+19', 'y^2=25*x^6+7*x^5+19*x^4+26*x^3+5*x^2+25*x+26', 'y^2=6*x^6+12*x^5+16*x^4+5*x^3+16*x^2+27*x+26', 'y^2=18*x^6+5*x^5+17*x^4+15*x^3+17*x^2+19*x+16', 'y^2=8*x^6+6*x^5+x^4+15*x^3+3*x+20', 'y^2=24*x^6+18*x^5+3*x^4+14*x^3+9*x+29', 'y^2=x^6+29*x^5+20*x^3+7*x^2+8*x+15', 'y^2=3*x^6+25*x^5+29*x^3+21*x^2+24*x+14', 'y^2=18*x^6+14*x^5+9*x^4+26*x^3+28*x^2+16*x+29', 'y^2=23*x^6+11*x^5+27*x^4+16*x^3+22*x^2+17*x+25', 'y^2=5*x^6+2*x^5+13*x^4+25*x^3+28*x^2+18*x+17', 'y^2=15*x^6+6*x^5+8*x^4+13*x^3+22*x^2+23*x+20', 'y^2=18*x^6+13*x^5+30*x^4+21*x^3+7*x^2+6*x+14', 'y^2=23*x^6+8*x^5+28*x^4+x^3+21*x^2+18*x+11', 'y^2=14*x^6+14*x^5+30*x^4+5*x^3+11*x^2+4*x+27', 'y^2=11*x^6+11*x^5+28*x^4+15*x^3+2*x^2+12*x+19', 'y^2=15*x^6+28*x^5+4*x^4+7*x^3+27*x^2+28*x+16', 'y^2=8*x^6+14*x^5+7*x^3+27*x^2+28*x+14', 'y^2=24*x^6+11*x^5+21*x^3+19*x^2+22*x+11', 'y^2=16*x^6+27*x^5+20*x^4+16*x^3+29*x^2+26*x+29', 'y^2=11*x^6+3*x^5+29*x^4+14*x^3+x^2+24*x+18', 'y^2=7*x^6+11*x^5+19*x^4+5*x^3+19*x^2+20*x+4', 'y^2=21*x^6+2*x^5+26*x^4+15*x^3+26*x^2+29*x+12', 'y^2=5*x^6+25*x^5+20*x^4+15*x^3+13*x^2+28*x+21', 'y^2=16*x^6+9*x^5+28*x^4+28*x^3+6*x+2', 'y^2=17*x^6+27*x^5+22*x^4+22*x^3+18*x+6', 'y^2=26*x^6+21*x^5+4*x^4+22*x^3+9*x^2+24*x', 'y^2=16*x^6+x^5+12*x^4+4*x^3+27*x^2+10*x', 'y^2=18*x^6+5*x^5+3*x^4+26*x^3+20*x^2+19*x+22', 'y^2=14*x^6+22*x^5+20*x^4+5*x^3+4*x^2+4*x+20', 'y^2=11*x^6+4*x^5+29*x^4+15*x^3+12*x^2+12*x+29', 'y^2=26*x^6+3*x^5+20*x^4+29*x^3+17*x^2+17*x+19', 'y^2=16*x^6+9*x^5+29*x^4+25*x^3+20*x^2+20*x+26', 'y^2=20*x^6+23*x^5+21*x^4+26*x^3+10*x^2+23*x+11', 'y^2=4*x^6+25*x^5+9*x^4+3*x^3+6*x^2+17*x+27', 'y^2=12*x^6+13*x^5+27*x^4+9*x^3+18*x^2+20*x+19', 'y^2=11*x^6+13*x^5+25*x^4+2*x^3+18*x^2+23*x+9', 'y^2=2*x^6+8*x^5+13*x^4+6*x^3+23*x^2+7*x+27', 'y^2=12*x^6+18*x^5+21*x^4+7*x^3+22*x^2+20*x+27', 'y^2=5*x^6+23*x^5+x^4+21*x^3+4*x^2+29*x+19', 'y^2=17*x^6+4*x^5+7*x^4+28*x^3+21*x^2+5*x+25', 'y^2=28*x^6+3*x^5+8*x^4+6*x^3+30*x^2+6*x+9', 'y^2=22*x^6+9*x^5+24*x^4+18*x^3+28*x^2+18*x+27', 'y^2=20*x^6+10*x^4+19*x^3+18*x^2+4*x+10', 'y^2=29*x^6+30*x^4+26*x^3+23*x^2+12*x+30', 'y^2=9*x^6+10*x^5+3*x^4+21*x^3+x^2+9*x+10', 'y^2=27*x^6+30*x^5+9*x^4+x^3+3*x^2+27*x+30', 'y^2=16*x^6+8*x^5+29*x^4+12*x^3+30*x^2+28*x+21', 'y^2=17*x^6+24*x^5+25*x^4+5*x^3+28*x^2+22*x+1', 'y^2=12*x^6+21*x^5+5*x^4+6*x^3+30*x^2+12*x+19', 'y^2=9*x^6+4*x^5+30*x^4+24*x^3+26*x^2+18*x+7', 'y^2=27*x^6+12*x^5+28*x^4+10*x^3+16*x^2+23*x+21', 'y^2=7*x^6+17*x^5+8*x^4+20*x^3+22*x^2+19*x+16', 'y^2=21*x^6+20*x^5+24*x^4+29*x^3+4*x^2+26*x+17', 'y^2=x^6+13*x^5+26*x^4+9*x^3+21*x^2+17*x+8', 'y^2=3*x^6+8*x^5+16*x^4+27*x^3+x^2+20*x+24', 'y^2=6*x^6+11*x^5+25*x^4+29*x^3+18*x^2+4*x+8', 'y^2=18*x^6+2*x^5+13*x^4+25*x^3+23*x^2+12*x+24', 'y^2=21*x^6+12*x^5+10*x^4+2*x^3+29*x^2+29*x+10', 'y^2=17*x^6+27*x^5+17*x^4+13*x^3+11*x^2+20*x+9', 'y^2=20*x^6+19*x^5+20*x^4+8*x^3+2*x^2+29*x+27', 'y^2=x^6+2*x^5+14*x^4+24*x^3+19*x^2+14*x+25', 'y^2=3*x^6+6*x^5+11*x^4+10*x^3+26*x^2+11*x+13'], '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': 5, 'g': 2, 'galois_groups': ['4T2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.952.1'], 'geometric_splitting_field': '2.0.952.1', 'geometric_splitting_polynomials': [[238, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 100, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 100, 'label': '2.31.a_ag', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.906304.3'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -6, 0, 961], 'poly_str': '1 0 -6 0 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 0, -68], 'simple_distinct': ['2.31.a_ag'], 'simple_factors': ['2.31.a_agA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-8*V-1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.906304.3', 'splitting_polynomials': [[338, -20, 21, -2, 1]], 'twist_count': 2, 'twists': [['2.31.a_g', '2.923521.fpc_lvmdq', 4]], 'weak_equivalence_count': 5, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 4, 'zfv_plus_index_factorization': [[2, 2]], 'zfv_plus_norm': 3136, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-8*V-1']}
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av_fq_endalg_factors • Show schema
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id: 20582
{'base_label': '2.31.a_ag', 'extension_degree': 1, 'extension_label': '2.31.a_ag', 'multiplicity': 1}
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id: 20583
{'base_label': '2.31.a_ag', 'extension_degree': 2, 'extension_label': '1.961.ag', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.906304.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.a_ag', 'galois_group': '4T2', 'places': [['27', '7', '3', '29'], ['21', '23', '22', '6']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.952.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.961.ag', 'galois_group': '2T1', 'places': [['14', '1'], ['17', '1']]}
