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av_fq_isog • Show schema
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{'abvar_count': 3356, 'abvar_counts': [3356, 8363152, 22023068732, 62234161439744, 174905206459261276, 491258297186799941008, 1379945593441422698495612, 3876268974446326533665472512, 10888439653213852827511096595612, 30585627416773984335618196261731472], 'abvar_counts_str': '3356 8363152 22023068732 62234161439744 174905206459261276 491258297186799941008 1379945593441422698495612 3876268974446326533665472512 10888439653213852827511096595612 30585627416773984335618196261731472 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.525640191098653, 0.655377756781446], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 62, 'curve_counts': [62, 2974, 147926, 7887246, 418237902, 22164333742, 1174710570662, 62259689195934, 3299763558900062, 174887471085551934], 'curve_counts_str': '62 2974 147926 7887246 418237902 22164333742 1174710570662 62259689195934 3299763558900062 174887471085551934 ', 'curves': ['y^2=40*x^6+45*x^5+47*x^4+24*x^3+25*x^2+31*x+10', 'y^2=20*x^6+16*x^5+29*x^4+41*x^3+35*x^2+28*x+6', 'y^2=17*x^6+20*x^5+5*x^4+7*x^3+43*x^2+5*x+31', 'y^2=7*x^6+2*x^5+26*x^3+32*x^2+17*x+47', 'y^2=21*x^6+42*x^5+19*x^4+21*x^3+38*x^2+42*x+46', 'y^2=21*x^6+32*x^5+9*x^4+14*x^3+28*x^2+21*x+47', 'y^2=4*x^6+46*x^5+4*x^4+26*x^3+43*x^2+25*x+47', 'y^2=38*x^6+32*x^5+19*x^4+43*x^3+25*x^2+51*x+1', 'y^2=12*x^6+48*x^5+32*x^4+10*x^3+30*x^2+15*x+14', 'y^2=9*x^6+3*x^5+33*x^4+36*x^3+45*x^2+16*x+46', 'y^2=8*x^6+14*x^5+13*x^4+21*x^3+30*x^2+12*x', 'y^2=x^6+33*x^5+18*x^4+11*x^3+31*x^2+11*x+39', 'y^2=24*x^6+42*x^5+20*x^4+x^3+22*x^2+29*x+34', 'y^2=30*x^6+43*x^5+33*x^4+36*x^3+40*x^2+50*x+14', 'y^2=48*x^6+37*x^5+45*x^4+29*x^2+4*x+33', 'y^2=19*x^6+38*x^5+16*x^4+25*x^3+8*x^2+17*x+30', 'y^2=3*x^6+37*x^5+47*x^4+12*x^3+8*x^2+24*x+29', 'y^2=32*x^6+32*x^5+41*x^4+4*x^3+43*x+17', 'y^2=10*x^6+2*x^5+21*x^4+16*x^3+10*x^2+3*x+6', 'y^2=34*x^5+36*x^4+27*x^3+51*x^2+12*x+45', 'y^2=41*x^6+17*x^5+30*x^4+25*x^3+24*x^2+21*x+38', 'y^2=42*x^6+32*x^5+50*x^4+18*x^3+22*x^2+47*x+50', 'y^2=35*x^6+26*x^5+6*x^4+46*x^3+25*x^2+18*x+47', 'y^2=9*x^6+45*x^5+33*x^4+2*x^3+23*x^2+28*x+52', 'y^2=40*x^6+37*x^5+26*x^4+3*x^3+13*x^2+38*x+13', 'y^2=39*x^6+42*x^5+28*x^4+32*x^3+21*x^2+41*x+16', 'y^2=3*x^6+32*x^5+5*x^4+4*x^3+37*x^2+45*x+26', 'y^2=49*x^6+6*x^5+14*x^4+12*x^3+18*x^2+24*x+25', 'y^2=38*x^6+12*x^5+34*x^4+16*x^3+2*x^2+41*x+33', 'y^2=16*x^6+2*x^5+28*x^4+41*x^3+52*x^2+36*x', 'y^2=2*x^6+17*x^5+41*x^4+6*x^3+32*x^2+7*x+34', 'y^2=42*x^6+13*x^5+x^4+47*x^3+22*x^2+24*x+37', 'y^2=49*x^6+37*x^5+3*x^4+49*x^3+19*x^2+32*x+29', 'y^2=4*x^6+31*x^5+48*x^4+28*x^3+37*x^2+8*x+49', 'y^2=45*x^6+22*x^5+12*x^3+22*x^2+19*x+28', 'y^2=31*x^6+40*x^5+26*x^4+23*x^3+49*x^2+16*x+52', 'y^2=21*x^6+31*x^5+27*x^4+13*x^3+10*x^2+32*x+6', 'y^2=46*x^6+52*x^5+39*x^4+49*x^3+37*x^2+29*x+11', 'y^2=43*x^6+50*x^5+32*x^4+47*x^3+24*x^2+2*x+44', 'y^2=47*x^6+48*x^5+27*x^4+23*x^3+10*x^2+27*x+2', 'y^2=x^6+5*x^5+30*x^4+49*x^3+46*x^2+42*x+10', 'y^2=35*x^6+33*x^5+13*x^4+52*x^3+2*x^2+43*x+23', 'y^2=33*x^6+25*x^5+48*x^4+45*x^3+10*x^2+22*x+13', 'y^2=38*x^6+45*x^5+30*x^4+50*x^3+42*x^2+26*x+21', 'y^2=x^6+9*x^5+20*x^4+4*x^3+8*x^2+40*x+1', 'y^2=15*x^6+49*x^5+44*x^4+28*x^3+14*x+27', 'y^2=x^6+32*x^5+x^4+45*x^3+41*x^2+x', 'y^2=28*x^6+19*x^5+19*x^4+52*x^3+18*x^2+13*x+20', 'y^2=45*x^6+19*x^5+30*x^4+42*x^3+48*x^2+34*x+30', 'y^2=28*x^6+17*x^5+23*x^4+42*x^3+48*x^2+10*x+13', 'y^2=10*x^6+18*x^5+42*x^4+49*x^3+15*x^2+21*x+50', 'y^2=3*x^6+49*x^5+18*x^4+51*x^3+13*x^2+47*x+8', 'y^2=25*x^6+6*x^5+31*x^4+5*x^3+16*x^2+34*x+24', 'y^2=15*x^6+47*x^5+46*x^4+45*x^3+32*x^2+49*x+2', 'y^2=23*x^6+48*x^5+4*x^4+25*x^3+x^2+13*x+28', 'y^2=12*x^6+11*x^5+6*x^4+34*x^3+40*x^2+37*x+7', 'y^2=23*x^6+3*x^5+48*x^4+34*x^3+36*x^2+33*x+18', 'y^2=19*x^6+41*x^5+5*x^4+31*x^3+32*x^2+3*x+44', 'y^2=8*x^6+11*x^5+21*x^4+46*x^3+50*x^2+8*x+14', 'y^2=31*x^6+8*x^5+24*x^4+3*x^3+22*x^2+6*x+49', 'y^2=36*x^5+22*x^4+8*x^3+24*x^2+16*x+3', 'y^2=5*x^6+47*x^5+41*x^4+9*x^3+27*x^2+32*x+4', 'y^2=52*x^6+47*x^5+43*x^4+7*x^3+35*x^2+30*x+48', 'y^2=18*x^6+36*x^5+2*x^4+24*x^3+25*x^2+25*x+42', 'y^2=4*x^6+34*x^5+11*x^4+32*x^3+34*x^2+9*x+44', 'y^2=13*x^6+22*x^5+24*x^4+35*x^3+15*x^2+9*x+33', 'y^2=40*x^6+23*x^5+19*x^4+15*x^3+38*x^2+50*x+18', 'y^2=18*x^6+33*x^5+25*x^4+38*x^3+5*x^2+41*x+11', 'y^2=46*x^6+17*x^5+16*x^4+27*x^3+15*x^2+31*x+50', 'y^2=29*x^6+17*x^5+10*x^4+25*x^3+24*x^2+5*x+37', 'y^2=13*x^6+12*x^5+18*x^4+18*x^3+3*x^2+34*x+16', 'y^2=41*x^6+38*x^5+25*x^4+25*x^3+31*x^2+8*x+40', 'y^2=31*x^5+52*x^4+32*x^3+45*x^2+10*x+32', 'y^2=48*x^6+43*x^5+39*x^4+43*x^3+36*x^2+21*x+41', 'y^2=11*x^6+51*x^5+35*x^4+17*x^3+7*x^2+50*x+46', 'y^2=12*x^6+33*x^5+21*x^4+x^3+45*x^2+31*x+41', 'y^2=31*x^6+36*x^5+40*x^4+24*x^3+41*x^2+11', 'y^2=11*x^6+10*x^5+28*x^4+4*x^3+15*x^2+9*x+29', 'y^2=43*x^6+28*x^5+41*x^4+18*x^3+3*x^2+43*x+30', 'y^2=49*x^6+15*x^5+40*x^4+5*x^3+3*x^2+6*x+3', 'y^2=44*x^6+17*x^5+19*x^4+14*x^3+x^2+22*x+31', 'y^2=3*x^6+7*x^5+45*x^4+3*x^3+2*x^2+18*x+28', 'y^2=10*x^6+24*x^5+43*x^4+31*x^3+47*x^2+44*x+30', 'y^2=4*x^6+31*x^5+43*x^4+32*x^3+3*x^2+40*x+47', 'y^2=11*x^6+25*x^5+12*x^4+6*x^3+4*x^2+47*x+11', 'y^2=27*x^6+47*x^5+17*x^4+11*x^3+26*x^2+28*x+6', 'y^2=13*x^6+49*x^4+44*x^3+33*x^2+39*x+41', 'y^2=48*x^6+12*x^5+35*x^4+2*x^3+7*x^2+37*x+5', 'y^2=2*x^6+12*x^5+14*x^4+5*x^3+48*x^2+2*x', 'y^2=28*x^6+38*x^5+9*x^4+40*x^3+18*x^2+45*x+49', 'y^2=35*x^6+x^5+37*x^4+37*x^3+33*x^2+39*x+3', 'y^2=23*x^6+25*x^5+7*x^4+18*x^3+45*x^2+17*x+34', 'y^2=13*x^6+12*x^5+35*x^4+46*x^3+31*x^2+19*x+39', 'y^2=11*x^6+14*x^5+25*x^4+15*x^3+35*x^2+35*x+18', 'y^2=16*x^6+10*x^5+24*x^4+39*x^3+46*x^2+33*x+28', 'y^2=42*x^6+2*x^5+22*x^4+49*x^3+6*x^2+48*x+21', 'y^2=35*x^6+27*x^5+21*x^4+48*x^3+9*x^2+9*x+28', 'y^2=20*x^6+8*x^5+44*x^4+17*x^3+32*x+10', 'y^2=19*x^6+18*x^5+17*x^4+x^3+35*x^2+12*x+14', 'y^2=5*x^6+6*x^5+49*x^4+7*x^3+2*x^2+23*x+9', 'y^2=20*x^6+12*x^5+26*x^4+32*x^3+30*x^2+5*x+41', 'y^2=2*x^6+13*x^5+49*x^4+44*x^3+17*x+7', 'y^2=15*x^6+49*x^5+50*x^4+8*x^3+14*x^2+34*x+8', 'y^2=9*x^6+7*x^5+11*x^4+17*x^3+17*x^2+43*x+51', 'y^2=15*x^6+5*x^5+12*x^4+16*x^3+21*x^2+41*x+21', 'y^2=27*x^6+12*x^5+41*x^4+20*x^3+45*x^2+38*x', 'y^2=35*x^6+28*x^5+9*x^4+50*x^3+x^2+3*x+21', 'y^2=31*x^6+47*x^5+34*x^4+50*x^3+48*x^2+50*x+25', 'y^2=9*x^6+38*x^5+50*x^4+45*x^3+47*x^2+34*x+49', 'y^2=30*x^6+14*x^5+9*x^4+27*x^3+52*x^2+14*x+47', 'y^2=29*x^6+5*x^5+4*x^4+5*x^2+22*x+44', 'y^2=5*x^6+24*x^5+6*x^4+7*x^3+45*x^2+4*x+8'], '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, 'endomorphism_ring_count': 5, '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': ['4.0.139328.2'], 'geometric_splitting_field': '4.0.139328.2', 'geometric_splitting_polynomials': [[142, -24, 25, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 112, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 112, 'label': '2.53.i_ek', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.139328.2'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 14], [1, 7, 3, 2], [1, 23, 1, 14]], 'poly': [1, 8, 114, 424, 2809], 'poly_str': '1 8 114 424 2809 ', 'primitive_models': [], 'principal_polarization_count': 112, 'q': 53, 'real_poly': [1, 8, 8], 'simple_distinct': ['2.53.i_ek'], 'simple_factors': ['2.53.i_ekA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+2*F+V+6'], 'size': 140, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.139328.2', 'splitting_polynomials': [[142, -24, 25, -2, 1]], 'twist_count': 2, 'twists': [['2.53.ai_ek', '2.2809.gi_rna', 2]], 'weak_equivalence_count': 5, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 56, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 34832, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+2*F+V+6']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.53.i_ek', 'extension_degree': 1, 'extension_label': '2.53.i_ek', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.139328.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.53.i_ek', 'galois_group': '4T3', 'places': [['33', '27', '27', '0'], ['19', '28', '26', '0']]}
