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av_fq_isog • Show schema
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{'abvar_count': 30622, 'abvar_counts': [30622, 1550146884, 62089273182742, 2459433165523064016, 97394042571542335408102, 3856888257048267377965878564, 152736585879843966938114430290062, 6048521419960196771801143128466560000, 239527496526144459036364923839160681277582, 9485528389646221313704601107303317112556242404], 'abvar_counts_str': '30622 1550146884 62089273182742 2459433165523064016 97394042571542335408102 3856888257048267377965878564 152736585879843966938114430290062 6048521419960196771801143128466560000 239527496526144459036364923839160681277582 9485528389646221313704601107303317112556242404 ', 'angle_rank': 2, 'angles': [0.103608408825162, 0.191337995159336], 'center_dim': 4, 'curve_count': 150, 'curve_counts': [150, 39142, 7878750, 1568276806, 312080771250, 62103860564182, 12358664531197050, 2459374193945044798, 489415464133902979350, 97393677359714003455702], 'curve_counts_str': '150 39142 7878750 1568276806 312080771250 62103860564182 12358664531197050 2459374193945044798 489415464133902979350 97393677359714003455702 ', 'curves': ['y^2=55*x^6+95*x^5+22*x^4+6*x^3+99*x^2+156*x+81', 'y^2=142*x^6+103*x^5+44*x^4+117*x^3+159*x^2+187*x+42', 'y^2=116*x^6+88*x^5+163*x^4+104*x^3+26*x^2+95*x+154', 'y^2=109*x^6+158*x^5+95*x^4+31*x^3+191*x^2+168*x+192', 'y^2=78*x^6+41*x^5+31*x^4+172*x^3+68*x^2+116*x+73', 'y^2=173*x^6+125*x^5+9*x^4+96*x^3+156*x^2+98*x+36', 'y^2=41*x^6+165*x^5+148*x^4+34*x^3+111*x^2+141*x+95', 'y^2=54*x^6+36*x^5+37*x^4+82*x^3+142*x^2+140*x+156', 'y^2=121*x^6+34*x^5+81*x^4+160*x^3+126*x^2+165*x+46', 'y^2=49*x^6+187*x^5+89*x^4+3*x^3+65*x^2+193*x+132', 'y^2=88*x^6+70*x^5+74*x^4+64*x^3+47*x^2+196*x+101', 'y^2=82*x^6+186*x^5+50*x^4+188*x^3+63*x^2+41*x+6', 'y^2=96*x^6+132*x^5+67*x^4+139*x^3+85*x^2+119*x+157', 'y^2=96*x^6+128*x^5+180*x^4+172*x^3+23*x^2+103*x+41', 'y^2=198*x^6+70*x^5+89*x^4+14*x^3+63*x^2+152*x+146', 'y^2=117*x^6+15*x^5+25*x^4+96*x^3+188*x^2+77*x+54', 'y^2=6*x^6+152*x^5+14*x^4+130*x^3+13*x^2+71*x+12', 'y^2=158*x^6+97*x^5+82*x^4+84*x^3+83*x^2+68*x+93', 'y^2=27*x^6+78*x^5+179*x^4+101*x^3+141*x^2+181*x+52', 'y^2=100*x^6+3*x^5+156*x^4+39*x^3+84*x^2+51*x+14', 'y^2=150*x^6+146*x^5+115*x^4+188*x^3+135*x^2+64*x+80', 'y^2=194*x^6+109*x^5+10*x^4+116*x^3+34*x^2+102*x+91', 'y^2=125*x^6+184*x^5+191*x^4+114*x^3+196*x^2+34*x+81', 'y^2=177*x^6+120*x^5+13*x^4+156*x^3+188*x^2+198*x+135', 'y^2=62*x^6+104*x^5+72*x^4+25*x^3+96*x^2+27*x+68', 'y^2=129*x^6+68*x^5+6*x^4+131*x^3+186*x^2+36*x+64', 'y^2=30*x^6+145*x^5+55*x^4+84*x^3+26*x^2+99*x+71', 'y^2=167*x^6+46*x^5+145*x^4+4*x^3+93*x^2+28*x+174', 'y^2=98*x^6+156*x^5+124*x^4+197*x^3+67*x^2+50*x', 'y^2=18*x^6+27*x^5+121*x^4+14*x^3+185*x^2+164*x+16', 'y^2=11*x^6+119*x^5+104*x^4+47*x^3+136*x^2+100*x+27', 'y^2=171*x^6+134*x^5+70*x^4+16*x^3+127*x^2+27*x+44'], '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': ['4.0.2984256.4'], 'geometric_splitting_field': '4.0.2984256.4', 'geometric_splitting_polynomials': [[1342, -8, 84, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 32, 'label': '2.199.aby_bng', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.2984256.4'], 'p': 199, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -50, 1020, -9950, 39601], 'poly_str': '1 -50 1020 -9950 39601 ', 'primitive_models': [], 'q': 199, 'real_poly': [1, -50, 622], 'simple_distinct': ['2.199.aby_bng'], 'simple_factors': ['2.199.aby_bngA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2984256.4', 'splitting_polynomials': [[1342, -8, 84, -2, 1]], 'twist_count': 2, 'twists': [['2.199.by_bng', '2.39601.ars_hcik', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.199.aby_bng', 'extension_degree': 1, 'extension_label': '2.199.aby_bng', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.2984256.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.199.aby_bng', 'galois_group': '4T3', 'places': [['2943/199', '227/199', '11/199', '1/199'], ['186', '1', '0', '0']]}