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av_fq_isog • Show schema
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{'abvar_count': 21164, 'abvar_counts': [21164, 767914576, 21686934588176, 604984632225852736, 16871991081777992266964, 470541305044792465337641216, 13122923526561258450775170449156, 365985212381385533361348520465440000, 10206961593667930162167141089030424158864, 284661951904001780514331775639660589814562896], 'abvar_counts_str': '21164 767914576 21686934588176 604984632225852736 16871991081777992266964 470541305044792465337641216 13122923526561258450775170449156 365985212381385533361348520465440000 10206961593667930162167141089030424158864 284661951904001780514331775639660589814562896 ', 'angle_rank': 2, 'angles': [0.0816525061160389, 0.218341865197686], 'center_dim': 4, 'curve_count': 123, 'curve_counts': [123, 27533, 4656384, 777818841, 129892471833, 21691966535822, 3622557602707719, 604967116592714833, 101029508526051139968, 16871927924929070125253], 'curve_counts_str': '123 27533 4656384 777818841 129892471833 21691966535822 3622557602707719 604967116592714833 101029508526051139968 16871927924929070125253 ', 'curves': ['y^2=43*x^6+90*x^5+138*x^4+30*x^3+67*x^2+14*x+7', 'y^2=166*x^6+147*x^5+41*x^4+104*x^3+44*x^2+61*x+61', 'y^2=82*x^6+137*x^5+132*x^4+27*x^3+52*x^2+131*x+22', 'y^2=51*x^6+79*x^5+115*x^4+15*x^3+21*x^2+15*x+91', 'y^2=4*x^6+137*x^5+133*x^4+25*x^3+149*x^2+44*x+32', 'y^2=138*x^6+138*x^5+103*x^4+40*x^3+121*x^2+83*x+140', 'y^2=166*x^5+42*x^4+25*x^3+x^2+109*x+83', 'y^2=32*x^6+82*x^5+156*x^4+146*x^3+102*x^2+57*x+8', 'y^2=140*x^6+8*x^5+39*x^4+15*x^3+62*x^2+113*x+36', 'y^2=103*x^6+146*x^5+49*x^4+159*x^3+37*x^2+139*x+86', 'y^2=162*x^6+46*x^5+73*x^4+9*x^3+13*x^2+87*x+128', 'y^2=74*x^6+124*x^5+141*x^4+110*x^3+39*x^2+3*x+10'], '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, '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': ['2.0.43.1', '2.0.67.1'], 'geometric_splitting_field': '4.0.8300161.1', 'geometric_splitting_polynomials': [[36, 0, 55, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 12, 'label': '2.167.abt_bgc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['2.0.43.1', '2.0.67.1'], 'p': 167, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -45, 834, -7515, 27889], 'poly_str': '1 -45 834 -7515 27889 ', 'primitive_models': [], 'q': 167, 'real_poly': [1, -45, 500], 'simple_distinct': ['1.167.az', '1.167.au'], 'simple_factors': ['1.167.azA', '1.167.auA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.8300161.1', 'splitting_polynomials': [[36, 0, 55, 0, 1]], 'twist_count': 4, 'twists': [['2.167.af_agk', '2.27889.ant_egya', 2], ['2.167.f_agk', '2.27889.ant_egya', 2], ['2.167.bt_bgc', '2.27889.ant_egya', 2]]}
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av_fq_endalg_factors • Show schema
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id: 425924
{'base_label': '2.167.abt_bgc', 'extension_degree': 1, 'extension_label': '1.167.az', 'multiplicity': 1}
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id: 425925
{'base_label': '2.167.abt_bgc', 'extension_degree': 1, 'extension_label': '1.167.au', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.167.az', 'galois_group': '2T1', 'places': [['154', '1'], ['12', '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': '1.167.au', 'galois_group': '2T1', 'places': [['78', '1'], ['88', '1']]}