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av_fq_isog • Show schema
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{'abvar_count': 1598, 'abvar_counts': [1598, 1946364, 2571297056, 3516347915136, 4806450686189318, 6582914324357849856, 9012128759167698180662, 12337511471805178177150464, 16890056211412999080728159264, 23122482710027990736860108943324], 'abvar_counts_str': '1598 1946364 2571297056 3516347915136 4806450686189318 6582914324357849856 9012128759167698180662 12337511471805178177150464 16890056211412999080728159264 23122482710027990736860108943324 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.39335647955041, 0.765077740875459], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 43, 'curve_counts': [43, 1421, 50764, 1876225, 69313183, 2565711722, 94932587779, 3512479327969, 129961758268588, 4808584173475061], 'curve_counts_str': '43 1421 50764 1876225 69313183 2565711722 94932587779 3512479327969 129961758268588 4808584173475061 ', 'curves': ['y^2=2*x^6+11*x^5+11*x^4+22*x^3+4*x^2+15*x+2', 'y^2=18*x^6+16*x^5+33*x^4+6*x^3+7*x+24', 'y^2=10*x^6+34*x^5+21*x^3+35*x^2+32*x+8', 'y^2=4*x^6+36*x^5+15*x^4+29*x^3+15*x^2+34*x+14', 'y^2=18*x^6+13*x^5+7*x^4+35*x^3+33*x^2+24*x+36', 'y^2=31*x^6+25*x^5+9*x^4+35*x^3+20*x^2+12*x+13', 'y^2=20*x^6+3*x^5+x^4+17*x^3+27*x^2+9*x', 'y^2=4*x^6+13*x^5+16*x^4+27*x^3+22*x^2+30*x+24', 'y^2=25*x^6+7*x^5+28*x^4+21*x^3+26*x^2+35*x+4', 'y^2=9*x^6+16*x^5+7*x^4+5*x^3+9*x^2+12', 'y^2=9*x^6+16*x^5+5*x^4+25*x^3+3*x^2+16*x+12', 'y^2=19*x^6+3*x^5+7*x^4+18*x^3+5*x^2+11*x+31', 'y^2=14*x^6+23*x^5+5*x^4+32*x^3+10*x^2+22*x+26', 'y^2=15*x^6+11*x^5+24*x^4+22*x^3+15*x^2+32*x+16', 'y^2=20*x^5+20*x^4+8*x^3+18*x^2+34', 'y^2=4*x^6+8*x^4+10*x^3+13*x^2+11', 'y^2=19*x^6+5*x^5+25*x^4+32*x^3+12*x^2+12*x+26', 'y^2=28*x^6+24*x^5+35*x^4+28*x^3+21*x^2+25*x+23', 'y^2=16*x^6+15*x^5+12*x^4+5*x^3+32*x^2+13*x+15', 'y^2=22*x^6+6*x^5+4*x^4+19*x^3+14*x^2+29*x+18', 'y^2=10*x^6+23*x^5+9*x^4+31*x^3+8*x^2+17*x+36', 'y^2=5*x^6+21*x^5+14*x^4+30*x^3+16*x^2+26', 'y^2=26*x^6+x^5+4*x^4+25*x^3+5*x^2+12*x', 'y^2=12*x^6+25*x^5+27*x^4+19*x^3+34*x^2+26*x+10', 'y^2=8*x^6+4*x^5+5*x^4+18*x^3+29*x^2+12*x+3', 'y^2=32*x^6+25*x^5+11*x^4+34*x^3+15*x^2+21*x+33', 'y^2=3*x^6+13*x^5+29*x^4+11*x^3+28*x^2+5*x+12', 'y^2=10*x^6+33*x^5+9*x^4+13*x^3+27*x^2+8*x+18'], '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': 2, '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': ['2.0.132.1', '2.0.67.1'], 'geometric_splitting_field': '4.0.78216336.1', 'geometric_splitting_polynomials': [[289, -100, 101, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 28, 'label': '2.37.f_bm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.132.1', '2.0.67.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 38, 185, 1369], 'poly_str': '1 5 38 185 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 5, -36], 'simple_distinct': ['1.37.ae', '1.37.j'], 'simple_factors': ['1.37.aeA', '1.37.jA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['13,16*F^2+64*V+687'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.78216336.1', 'splitting_polynomials': [[289, -100, 101, -2, 1]], 'twist_count': 4, 'twists': [['2.37.an_eg', '2.1369.bz_dls', 2], ['2.37.af_bm', '2.1369.bz_dls', 2], ['2.37.n_eg', '2.1369.bz_dls', 2]], 'weak_equivalence_count': 2, 'zfv_index': 169, 'zfv_index_factorization': [[13, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 8844, 'zfv_singular_count': 2, 'zfv_singular_primes': ['13,16*F^2+64*V+687']}
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av_fq_endalg_factors • Show schema
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id: 26043
{'base_label': '2.37.f_bm', 'extension_degree': 1, 'extension_label': '1.37.ae', 'multiplicity': 1}
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id: 26044
{'base_label': '2.37.f_bm', 'extension_degree': 1, 'extension_label': '1.37.j', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.132.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.ae', 'galois_group': '2T1', 'places': [['35', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.67.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.j', 'galois_group': '2T1', 'places': [['4', '1'], ['32', '1']]}
