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av_fq_isog • Show schema
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{'abvar_count': 4489, 'abvar_counts': [4489, 12609601, 41813706256, 146883807310969, 511170313972527049, 1779164344046286029056, 6193388872981807323063169, 21559183101255707483730697449, 75047493656011683660096445989136, 261240335532006814039769521262848801], 'abvar_counts_str': '4489 12609601 41813706256 146883807310969 511170313972527049 1779164344046286029056 6193388872981807323063169 21559183101255707483730697449 75047493656011683660096445989136 261240335532006814039769521262848801 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.650597135155815, 0.650597135155815], 'center_dim': 2, 'curve_count': 74, 'curve_counts': [74, 3620, 203588, 12121764, 714999214, 42179749526, 2488652553706, 146830476384964, 8662995484126172, 511116753354284900], 'curve_counts_str': '74 3620 203588 12121764 714999214 42179749526 2488652553706 146830476384964 8662995484126172 511116753354284900 ', 'curves': ['y^2=3*x^6+32*x^5+21*x^4+51*x^3+2*x^2+27*x+52', 'y^2=29*x^6+52*x^5+44*x^4+26*x^3+44*x^2+52*x+29', 'y^2=2*x^6+58*x^5+31*x^4+9*x^3+5*x^2+50*x+28', 'y^2=48*x^6+29*x^5+46*x^4+43*x^3+22*x^2+47*x+10', 'y^2=21*x^6+2*x^5+27*x^4+23*x^3+54*x^2+20*x+54', 'y^2=17*x^6+11*x^5+40*x^4+29*x^3+40*x^2+11*x+17', 'y^2=20*x^6+15*x^5+43*x^4+28*x^3+57*x^2+49', 'y^2=41*x^6+19*x^5+25*x^4+56*x^3+55*x^2+18*x+45', 'y^2=x^6+10*x^5+35*x^4+37*x^3+2*x^2+34*x+30', 'y^2=48*x^6+22*x^5+42*x^3+22*x+48', 'y^2=49*x^6+58*x^5+7*x^4+24*x^3+52*x^2+54*x+18', 'y^2=8*x^6+6*x^5+10*x^4+39*x^3+5*x^2+19*x+21', 'y^2=10*x^6+25*x^5+46*x^4+32*x^3+46*x^2+25*x+10', 'y^2=56*x^6+3*x^5+9*x^4+51*x^3+13*x^2+24*x+51', 'y^2=4*x^6+11*x^5+55*x^4+36*x^3+55*x^2+11*x+4', 'y^2=17*x^6+32*x^5+30*x^4+26*x^3+15*x^2+18*x+56', 'y^2=7*x^6+45*x^5+34*x^4+7*x^3+48*x^2+41*x+43'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['2T1'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.187.1'], 'geometric_splitting_field': '2.0.187.1', 'geometric_splitting_polynomials': [[47, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 17, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 17, 'label': '2.59.o_gl', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [67], 'number_fields': ['2.0.187.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 14, 167, 826, 3481], 'poly_str': '1 14 167 826 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 14, 49], 'simple_distinct': ['1.59.h'], 'simple_factors': ['1.59.hA', '1.59.hB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.187.1', 'splitting_polynomials': [[47, -1, 1]], 'twist_count': 6, 'twists': [['2.59.ao_gl', '2.3481.fi_rix', 2], ['2.59.a_cr', '2.3481.fi_rix', 2], ['2.59.ah_ak', '2.205379.acqy_crbfy', 3], ['2.59.a_acr', '2.12117361.gni_clqmlv', 4], ['2.59.h_ak', '2.42180533641.abspyi_bdqrhmcyo', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.59.o_gl', 'extension_degree': 1, 'extension_label': '1.59.h', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.h', 'galois_group': '2T1', 'places': [['3', '1'], ['55', '1']]}
