Formats: - HTML - YAML - JSON - 2026-09-12T02:15:15.381355
  • av_fq_isog • Show schema
    {'abvar_count': 876, 'abvar_counts': [876, 767376, 594776844, 500992164864, 420707233700076, 353759494158600336, 297558232708462136076, 250247612129422345519104, 210457284365154656941238124, 176994576487570363189522405776], 'abvar_counts_str': '876 767376 594776844 500992164864 420707233700076 353759494158600336 297558232708462136076 250247612129422345519104 210457284365154656941238124 176994576487570363189522405776 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.349689715424461, 0.650310284575539], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 30, 'curve_counts': [30, 910, 24390, 708334, 20511150, 594730366, 17249876310, 500248688734, 14507145975870, 420707234099950], 'curve_counts_str': '30 910 24390 708334 20511150 594730366 17249876310 500248688734 14507145975870 420707234099950 ', 'curves': ['y^2=18*x^6+7*x^5+18*x^4+19*x^3+5*x^2+19*x+15', 'y^2=7*x^6+14*x^5+7*x^4+9*x^3+10*x^2+9*x+1', 'y^2=9*x^6+6*x^5+12*x^4+24*x^3+22*x^2+13*x+23', 'y^2=18*x^6+12*x^5+24*x^4+19*x^3+15*x^2+26*x+17', 'y^2=9*x^5+24*x^4+2*x^3+19*x^2+26*x+9', 'y^2=18*x^5+19*x^4+4*x^3+9*x^2+23*x+18', 'y^2=10*x^6+7*x^5+12*x^4+20*x^3+22*x^2+5*x+8', 'y^2=20*x^6+14*x^5+24*x^4+11*x^3+15*x^2+10*x+16', 'y^2=20*x^5+26*x^4+8*x^3+5*x^2+19*x+1', 'y^2=11*x^5+23*x^4+16*x^3+10*x^2+9*x+2', 'y^2=17*x^6+16*x^5+15*x^4+17*x^3+25*x^2+9*x+25', 'y^2=21*x^6+15*x^5+12*x^4+13*x^3+20*x^2+3*x+7', 'y^2=10*x^6+26*x^5+25*x^4+13*x^3+4*x^2+16*x+19', 'y^2=20*x^6+23*x^5+21*x^4+26*x^3+8*x^2+3*x+9', 'y^2=9*x^6+6*x^5+6*x^4+19*x^3+3*x^2+2*x+16', 'y^2=18*x^6+12*x^5+12*x^4+9*x^3+6*x^2+4*x+3', 'y^2=8*x^6+13*x^5+18*x^4+26*x^3+22*x^2+23*x+23', 'y^2=16*x^6+17*x^5+6*x^4+16*x^3+17*x+8', 'y^2=3*x^6+5*x^5+12*x^4+3*x^3+5*x+16', 'y^2=23*x^6+26*x^4+4*x^3+4*x^2+11', 'y^2=3*x^6+27*x^5+9*x^4+6*x^3+21*x^2+2*x+22', 'y^2=12*x^6+14*x^5+6*x^4+28*x^3+22*x^2+5*x+11', 'y^2=24*x^6+28*x^5+12*x^4+27*x^3+15*x^2+10*x+22', 'y^2=22*x^6+15*x^5+26*x^4+8*x^3+18*x^2+9*x+14', 'y^2=15*x^6+x^5+23*x^4+16*x^3+7*x^2+18*x+28', 'y^2=23*x^6+11*x^5+11*x^4+12*x^3+23*x^2+12*x+17', 'y^2=17*x^6+22*x^5+22*x^4+24*x^3+17*x^2+24*x+5', 'y^2=10*x^6+22*x^5+27*x^4+7*x^3+25*x^2+26*x+18', 'y^2=20*x^6+15*x^5+25*x^4+14*x^3+21*x^2+23*x+7', 'y^2=x^5+20*x^4+20*x^3+17*x^2+5*x', 'y^2=11*x^6+25*x^5+16*x^4+10*x^3+15*x^2+15*x+11', 'y^2=22*x^6+21*x^5+3*x^4+20*x^3+x^2+x+22', 'y^2=23*x^6+5*x^5+23*x^4+17*x^3+7*x^2+8*x+8', 'y^2=17*x^6+10*x^5+17*x^4+5*x^3+14*x^2+16*x+16', 'y^2=23*x^6+8*x^5+23*x^4+11*x^2+14*x+12', 'y^2=8*x^6+4*x^5+5*x^4+8*x^3+12*x^2+x+28', 'y^2=7*x^6+17*x^5+26*x^4+11*x^3+9*x^2+8*x+14', 'y^2=3*x^6+x^5+9*x^4+2*x^3+22*x^2+x+24', 'y^2=6*x^6+2*x^5+18*x^4+4*x^3+15*x^2+2*x+19', 'y^2=5*x^6+13*x^5+26*x^4+25*x^3+11*x^2+4*x+9', 'y^2=10*x^5+19*x^4+26*x^3+12*x^2+17*x+10', 'y^2=20*x^5+9*x^4+23*x^3+24*x^2+5*x+20', 'y^2=4*x^6+20*x^5+2*x^4+11*x^3+26*x^2+12', 'y^2=8*x^6+11*x^5+4*x^4+22*x^3+23*x^2+24', 'y^2=20*x^6+23*x^5+2*x^4+23*x^3+16*x^2+3*x+1', 'y^2=11*x^6+17*x^5+4*x^4+17*x^3+3*x^2+6*x+2', 'y^2=3*x^6+20*x^5+12*x^4+2*x^3+4*x^2+27*x+15', 'y^2=12*x^6+5*x^5+4*x^4+21*x^3+17*x^2+8*x+12', 'y^2=24*x^6+10*x^5+8*x^4+13*x^3+5*x^2+16*x+24', 'y^2=11*x^6+7*x^5+6*x^4+20*x^3+26*x^2+9*x+24', 'y^2=3*x^6+28*x^5+21*x^4+13*x^3+3*x^2+2*x+18', 'y^2=6*x^6+27*x^5+13*x^4+26*x^3+6*x^2+4*x+7', 'y^2=4*x^6+20*x^5+5*x^4+17*x^3+8*x^2+12*x+2', 'y^2=8*x^6+11*x^5+10*x^4+5*x^3+16*x^2+24*x+4', 'y^2=8*x^6+8*x^5+18*x^4+23*x^3+13*x^2+8*x+19', 'y^2=16*x^6+16*x^5+7*x^4+17*x^3+26*x^2+16*x+9', 'y^2=24*x^5+22*x^4+6*x^3+7*x^2+4*x', 'y^2=19*x^5+15*x^4+12*x^3+14*x^2+8*x', 'y^2=10*x^6+2*x^5+11*x^4+25*x^3+17*x^2+17*x+15', 'y^2=20*x^6+4*x^5+22*x^4+21*x^3+5*x^2+5*x+1', 'y^2=27*x^6+21*x^5+8*x^4+14*x^2+19*x+20', 'y^2=25*x^6+13*x^5+16*x^4+28*x^2+9*x+11', 'y^2=27*x^6+23*x^5+19*x^4+28*x^3+22*x^2+22*x+9', 'y^2=21*x^6+22*x^5+2*x^4+21*x^3+24*x^2+13*x+3', 'y^2=13*x^6+15*x^5+4*x^4+13*x^3+19*x^2+26*x+6', 'y^2=8*x^6+15*x^5+6*x^4+10*x^3+15*x^2+12*x+21', 'y^2=16*x^6+x^5+12*x^4+20*x^3+x^2+24*x+13', 'y^2=2*x^6+24*x^5+x^4+20*x^3+9*x^2+28*x+21', 'y^2=28*x^6+3*x^5+20*x^4+13*x^3+6*x^2+27*x+19', 'y^2=27*x^6+6*x^5+11*x^4+26*x^3+12*x^2+25*x+9', 'y^2=7*x^6+13*x^5+16*x^4+23*x^3+7*x^2+10*x+27', 'y^2=19*x^6+x^5+28*x^4+10*x^3+26*x^2+19*x+2', 'y^2=9*x^6+2*x^5+27*x^4+20*x^3+23*x^2+9*x+4', 'y^2=13*x^6+24*x^5+9*x^4+4*x^3+24*x^2+3*x+5', 'y^2=26*x^6+19*x^5+18*x^4+8*x^3+19*x^2+6*x+10', 'y^2=26*x^6+19*x^5+28*x^4+11*x^3+4*x^2+23*x+6', 'y^2=23*x^6+9*x^5+27*x^4+22*x^3+8*x^2+17*x+12', 'y^2=15*x^6+23*x^5+20*x^4+12*x^3+24*x^2+27*x+12', 'y^2=x^6+17*x^5+11*x^4+24*x^3+19*x^2+25*x+24', 'y^2=26*x^6+10*x^5+x^4+2*x^3+26*x^2+12*x+16', 'y^2=23*x^6+20*x^5+2*x^4+4*x^3+23*x^2+24*x+3', 'y^2=13*x^6+17*x^5+21*x^4+5*x^3+2*x^2+26*x+18', 'y^2=26*x^6+5*x^5+13*x^4+10*x^3+4*x^2+23*x+7', 'y^2=25*x^6+24*x^5+20*x^4+11*x^3+11*x^2+9*x+26'], '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': ['2.0.552.1'], 'geometric_splitting_field': '2.0.552.1', 'geometric_splitting_polynomials': [[138, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 84, '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': 84, 'label': '2.29.a_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.304704.3'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 34, 0, 841], 'poly_str': '1 0 34 0 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, 0, -24], 'simple_distinct': ['2.29.a_bi'], 'simple_factors': ['2.29.a_biA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+V+2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.304704.3', 'splitting_polynomials': [[138, 0, 1, -2, 1]], 'twist_count': 2, 'twists': [['2.29.a_abi', '2.707281.bom_dsfvq', 4]], 'weak_equivalence_count': 5, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 8464, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+V+2']}
  • av_fq_endalg_factors • Show schema
    • id: 18300
      {'base_label': '2.29.a_bi', 'extension_degree': 1, 'extension_label': '2.29.a_bi', 'multiplicity': 1}
    • id: 18301
      {'base_label': '2.29.a_bi', 'extension_degree': 2, 'extension_label': '1.841.bi', 'multiplicity': 2}
  • av_fq_endalg_data • Show schema
    {'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.304704.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.a_bi', 'galois_group': '4T2', 'places': [['16', '23', '22', '1'], ['17', '23', '22', '1'], ['25', '23', '22', '1'], ['24', '23', '22', '1']]}
  • av_fq_endalg_data • Show schema
    {'brauer_invariants': ['0', '0'], 'center': '2.0.552.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.841.bi', 'galois_group': '2T1', 'places': [['23', '1'], ['6', '1']]}