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av_fq_isog • Show schema
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{'abvar_count': 1468, 'abvar_counts': [1468, 2043456, 2562253072, 3509423160576, 4808580155226508, 6582792022900273152, 9012082124882513036428, 12337532145098494794912768, 16890051661476232883435872144, 23122482455863865964482032036416], 'abvar_counts_str': '1468 2043456 2562253072 3509423160576 4808580155226508 6582792022900273152 9012082124882513036428 12337532145098494794912768 16890051661476232883435872144 23122482455863865964482032036416 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.413241879291986, 0.614292924339772], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 39, 'curve_counts': [39, 1489, 50586, 1872529, 69343899, 2565664054, 94932096543, 3512485213633, 129961723258770, 4808584120618729], 'curve_counts_str': '39 1489 50586 1872529 69343899 2565664054 94932096543 3512485213633 129961723258770 4808584120618729 ', 'curves': ['y^2=24*x^6+19*x^5+27*x^4+18*x^3+12*x^2+34*x+16', 'y^2=27*x^6+28*x^5+3*x^4+14*x^3+31*x^2+9*x+28', 'y^2=2*x^6+6*x^5+6*x^4+17*x^3+12*x^2+28*x+1', 'y^2=20*x^6+18*x^5+10*x^4+10*x^3+3*x^2+23*x+18', 'y^2=9*x^6+11*x^5+35*x^4+16*x^3+30*x^2+25*x+26', 'y^2=21*x^6+24*x^5+3*x^4+19*x^3+28*x^2+25*x+11', 'y^2=19*x^6+32*x^5+25*x^4+25*x^3+20*x^2+7*x+16', 'y^2=10*x^6+6*x^5+11*x^4+27*x^3+6*x^2+12*x+17', 'y^2=31*x^5+20*x^4+14*x^3+36*x^2+36*x+4', 'y^2=27*x^6+26*x^5+x^4+8*x^2+22*x+2', 'y^2=12*x^6+14*x^5+22*x^4+22*x^3+11*x^2+8*x+25', 'y^2=5*x^6+18*x^5+22*x^4+10*x^3+6*x^2+16*x+34', 'y^2=31*x^6+6*x^5+10*x^4+5*x^3+29*x^2+14*x+34', 'y^2=x^6+7*x^5+16*x^4+18*x^3+12*x^2+31', 'y^2=7*x^6+28*x^5+22*x^4+27*x^3+3*x^2+28*x+5', 'y^2=35*x^6+12*x^5+28*x^4+15*x^3+16*x^2+4*x+11', 'y^2=27*x^6+5*x^5+15*x^4+x^3+20*x^2+6*x+24', 'y^2=33*x^6+8*x^5+19*x^4+19*x^3+36*x^2+19*x+14', 'y^2=33*x^6+23*x^5+6*x^4+13*x^3+22*x^2+13*x+15', 'y^2=16*x^6+3*x^5+26*x^4+34*x^3+28*x^2+10*x+26', 'y^2=4*x^6+4*x^5+34*x^4+22*x^3+31*x^2+8*x+9', 'y^2=31*x^6+11*x^5+7*x^4+14*x^3+29*x^2+6*x+31', 'y^2=17*x^6+9*x^5+29*x^3+7*x^2+7*x', 'y^2=33*x^5+23*x^4+13*x^3+14*x^2+18*x+13', 'y^2=7*x^6+4*x^5+23*x^4+24*x^3+30*x^2+36*x+3', 'y^2=23*x^6+10*x^5+31*x^4+9*x^3+11*x^2+13*x+36', 'y^2=3*x^6+28*x^5+23*x^4+28*x^3+17*x^2+19*x+33', 'y^2=8*x^6+x^5+20*x^4+26*x^3+18*x^2+27*x', 'y^2=17*x^6+17*x^5+4*x^4+13*x^3+13*x^2+32*x+20', 'y^2=14*x^6+35*x^5+4*x^4+14*x^3+26*x^2+19*x+10', 'y^2=10*x^6+26*x^5+10*x^4+36*x^3+31*x^2+18*x+30', 'y^2=28*x^5+14*x^4+30*x^3+15*x^2+3*x+27', 'y^2=18*x^6+19*x^5+3*x^4+10*x^3+23*x^2+8*x+9', 'y^2=8*x^6+28*x^5+26*x^4+22*x^3+8*x+26', 'y^2=23*x^6+35*x^5+x^4+34*x^3+19*x^2+5*x+10', 'y^2=24*x^6+36*x^5+5*x^4+5*x^3+8*x^2+20*x+31', 'y^2=19*x^6+11*x^5+33*x^4+20*x^3+6*x^2+24*x+5', 'y^2=5*x^6+23*x^5+33*x^4+17*x^3+30*x^2+7*x+33', 'y^2=23*x^6+24*x^5+31*x^4+7*x^3+4*x^2+20*x+21', 'y^2=25*x^6+32*x^5+35*x^4+14*x^3+17*x^2+17*x+6'], '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': 3, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.3616137.2'], 'geometric_splitting_field': '4.0.3616137.2', 'geometric_splitting_polynomials': [[643, -68, 69, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 40, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 40, 'label': '2.37.b_ci', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.3616137.2'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 7, 1, 2], [1, 19, 1, 6]], 'poly': [1, 1, 60, 37, 1369], 'poly_str': '1 1 60 37 1369 ', 'primitive_models': [], 'principal_polarization_count': 40, 'q': 37, 'real_poly': [1, 1, -14], 'simple_distinct': ['2.37.b_ci'], 'simple_factors': ['2.37.b_ciA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-7*F-4*V-5'], 'size': 40, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3616137.2', 'splitting_polynomials': [[643, -68, 69, -2, 1]], 'twist_count': 2, 'twists': [['2.37.ab_ci', '2.1369.ep_jgy', 2]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 24, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 17808, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-7*F-4*V-5']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.37.b_ci', 'extension_degree': 1, 'extension_label': '2.37.b_ci', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.3616137.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.b_ci', 'galois_group': '4T3', 'places': [['6', '8', '34', '1'], ['25', '5', '0', '1']]}
