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av_fq_isog • Show schema
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{'abvar_count': 4282, 'abvar_counts': [4282, 38204004, 243115705528, 1517255514730272, 9468251903758392622, 59091341845352600844864, 368789945856071303726028046, 2301619058473361646031518315648, 14364405077108172900367499219354776, 89648252046660979462968826418114449284], 'abvar_counts_str': '4282 38204004 243115705528 1517255514730272 9468251903758392622 59091341845352600844864 368789945856071303726028046 2301619058473361646031518315648 14364405077108172900367499219354776 89648252046660979462968826418114449284 ', 'angle_rank': 2, 'angles': [0.0680014220524527, 0.273043216393776], 'center_dim': 4, 'curve_count': 51, 'curve_counts': [51, 6121, 493098, 38953849, 3077048541, 243086759530, 19203899899851, 1517108755445905, 119851596128860854, 9468276090000669361], 'curve_counts_str': '51 6121 493098 38953849 3077048541 243086759530 19203899899851 1517108755445905 119851596128860854 9468276090000669361 ', 'curves': ['y^2=37*x^6+54*x^5+50*x^4+64*x^3+67*x^2+42*x+36', 'y^2=16*x^6+59*x^5+76*x^4+73*x^3+30*x^2+26*x+75', 'y^2=64*x^6+15*x^5+69*x^4+37*x^3+28*x^2+6*x+55', 'y^2=7*x^6+44*x^5+60*x^4+51*x^3+25*x^2+42*x+42', 'y^2=78*x^6+42*x^5+5*x^4+35*x^3+54*x^2+78*x+77', 'y^2=15*x^6+56*x^5+9*x^4+27*x^3+14*x^2+68*x+15', 'y^2=41*x^6+4*x^5+69*x^4+4*x^3+71*x^2+21*x+35', 'y^2=75*x^6+7*x^5+75*x^4+56*x^3+14*x^2+75*x+38'], '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, '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': ['4.0.2796552.2'], 'geometric_splitting_field': '4.0.2796552.2', 'geometric_splitting_polynomials': [[298, -142, 45, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 8, 'label': '2.79.abd_nw', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.2796552.2'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 3, 1, 2], [1, 29, 1, 4]], 'poly': [1, -29, 360, -2291, 6241], 'poly_str': '1 -29 360 -2291 6241 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 79, 'real_poly': [1, -29, 202], 'simple_distinct': ['2.79.abd_nw'], 'simple_factors': ['2.79.abd_nwA'], 'simple_multiplicities': [1], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2796552.2', 'splitting_polynomials': [[298, -142, 45, -1, 1]], 'twist_count': 2, 'twists': [['2.79.bd_nw', '2.6241.aer_nqa', 2]], 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2568}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.79.abd_nw', 'extension_degree': 1, 'extension_label': '2.79.abd_nw', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.2796552.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.abd_nw', 'galois_group': '4T3', 'places': [['5392/79', '101/79', '6233/79', '1/79'], ['7', '1', '0', '0']]}