-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 7305, 'abvar_counts': [7305, 40506225, 242053563735, 1516862734090125, 9468806691510452400, 59091403175060233439025, 368789965342615344667229115, 2301619231475860522393226995125, 14364405075303927448591648822477245, 89648251952588291286370282365831840000], 'abvar_counts_str': '7305 40506225 242053563735 1516862734090125 9468806691510452400 59091403175060233439025 368789965342615344667229115 2301619231475860522393226995125 14364405075303927448591648822477245 89648251952588291286370282365831840000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.557772928488342, 0.644417188646764], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 91, 'curve_counts': [91, 6487, 490939, 38943763, 3077228836, 243087011827, 19203900914569, 1517108869480243, 119851596113806861, 9468276080065102702], 'curve_counts_str': '91 6487 490939 38943763 3077228836 243087011827 19203900914569 1517108869480243 119851596113806861 9468276080065102702 ', 'curves': ['y^2=20*x^6+72*x^5+53*x^4+75*x^3+35*x^2+57*x+72', 'y^2=78*x^6+73*x^5+41*x^4+8*x^3+25*x^2+76*x+22', 'y^2=36*x^6+69*x^5+37*x^4+62*x^3+44*x^2+31*x+33', 'y^2=69*x^6+15*x^5+55*x^4+14*x^3+10*x^2+31*x+22', 'y^2=77*x^6+24*x^5+44*x^4+2*x^3+16*x^2+x+33', 'y^2=34*x^6+71*x^5+58*x^4+9*x^3+45*x^2+53*x+50', 'y^2=9*x^6+54*x^5+19*x^4+14*x^3+77*x^2+53*x+62', 'y^2=55*x^6+12*x^5+14*x^4+34*x^3+33*x^2+63*x+46', 'y^2=20*x^6+62*x^5+53*x^4+72*x^3+13*x^2+36*x+62', 'y^2=49*x^6+51*x^5+65*x^4+76*x^3+44*x^2+73*x+53', 'y^2=48*x^6+12*x^5+64*x^4+75*x^3+65*x^2+57*x+47', 'y^2=4*x^6+62*x^5+10*x^4+42*x^3+74*x^2+3*x+37', 'y^2=6*x^6+54*x^5+73*x^4+29*x^3+30*x^2+53*x+74', 'y^2=42*x^6+11*x^5+9*x^4+38*x^3+6*x^2+4*x+77', 'y^2=3*x^6+31*x^5+35*x^4+2*x^3+38*x^2+53*x+62', 'y^2=21*x^6+58*x^5+10*x^4+5*x^3+3*x^2+75*x+2', 'y^2=67*x^6+21*x^5+33*x^4+2*x^3+12*x^2+71*x+38', 'y^2=62*x^6+31*x^5+5*x^4+70*x^3+2*x^2+75*x+40', 'y^2=46*x^6+63*x^5+49*x^4+10*x^3+18*x^2+66*x+16', 'y^2=26*x^6+75*x^5+10*x^4+37*x^3+74*x^2+42*x+68', 'y^2=23*x^6+21*x^5+60*x^4+76*x^3+70*x^2+20*x+24', 'y^2=64*x^6+37*x^5+12*x^4+61*x^3+8*x^2+13*x+4', 'y^2=74*x^6+64*x^5+24*x^4+46*x^3+51*x^2+33*x+67', 'y^2=42*x^6+53*x^5+54*x^3+63*x^2+29*x+41', 'y^2=70*x^6+46*x^5+21*x^4+9*x^3+51*x^2+7*x+64', 'y^2=67*x^6+59*x^5+x^4+49*x^3+28*x^2+11*x+24', 'y^2=16*x^6+53*x^5+78*x^4+16*x^3+57*x^2+13*x+31', 'y^2=11*x^6+49*x^5+16*x^4+13*x^3+63*x^2+46*x+18', 'y^2=48*x^5+x^4+71*x^3+75*x^2+15*x+24', 'y^2=13*x^6+36*x^5+26*x^4+51*x^3+10*x^2+40*x+25', 'y^2=2*x^6+6*x^5+23*x^3+77*x^2+51*x+74', 'y^2=22*x^6+45*x^5+50*x^4+46*x^3+45*x^2+71*x+73', 'y^2=52*x^6+14*x^5+53*x^4+65*x^3+27*x^2+42*x+33', 'y^2=53*x^6+64*x^5+32*x^4+61*x^3+36*x^2+7*x+12', 'y^2=20*x^6+56*x^5+2*x^4+78*x^3+6*x^2+10*x+54', 'y^2=63*x^6+17*x^5+23*x^4+64*x^3+64*x^2+35*x+8', 'y^2=28*x^6+78*x^5+18*x^4+69*x^3+12*x^2+71*x+1', 'y^2=54*x^6+41*x^5+11*x^4+37*x^3+54*x^2+65*x+42', 'y^2=60*x^6+26*x^5+54*x^4+72*x^3+71*x^2+44*x+74', 'y^2=67*x^6+2*x^5+33*x^4+67*x^3+74*x^2+28*x+11', 'y^2=x^6+28*x^5+27*x^4+2*x^3+6*x^2+41*x+57', 'y^2=32*x^6+57*x^5+34*x^4+68*x^3+65*x^2+76*x+47', 'y^2=74*x^6+32*x^5+18*x^4+14*x^3+75*x^2+73*x+18', 'y^2=32*x^6+43*x^5+23*x^4+18*x^3+54*x^2+63*x+42', 'y^2=73*x^6+28*x^5+59*x^4+53*x^3+29*x^2+62*x+1', 'y^2=78*x^6+16*x^5+26*x^4+24*x^3+55*x^2+17*x+33', 'y^2=8*x^6+62*x^5+74*x^4+55*x^3+5*x^2+76*x+67', 'y^2=6*x^6+55*x^5+78*x^4+58*x^3+73*x^2+70*x+52'], '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': 1, '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': ['4.0.34417845.1'], 'geometric_splitting_field': '4.0.34417845.1', 'geometric_splitting_polynomials': [[5065, -40, 138, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 48, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 48, 'label': '2.79.l_hb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.34417845.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 5, 1, 12], [1, 41, 1, 6]], 'poly': [1, 11, 183, 869, 6241], 'poly_str': '1 11 183 869 6241 ', 'primitive_models': [], 'principal_polarization_count': 48, 'q': 79, 'real_poly': [1, 11, 25], 'simple_distinct': ['2.79.l_hb'], 'simple_factors': ['2.79.l_hbA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 48, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.34417845.1', 'splitting_polynomials': [[5065, -40, 138, -1, 1]], 'twist_count': 2, 'twists': [['2.79.al_hb', '2.6241.jl_bnsv', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 78045, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '2.79.l_hb', 'extension_degree': 1, 'extension_label': '2.79.l_hb', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.34417845.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.l_hb', 'galois_group': '4T3', 'places': [['47', '1', '0', '0'], ['37', '1', '0', '0'], ['3248/79', '5967/79', '73/79', '6238/79'], ['878/79', '5967/79', '73/79', '6238/79']]}
