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av_fq_isog • Show schema
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{'abvar_count': 145, 'abvar_counts': [145, 33205, 4846045, 820329525, 138532768000, 23292423217645, 3935521193060245, 665395988477163525, 112456200359182040545, 19004922348465889792000], 'abvar_counts_str': '145 33205 4846045 820329525 138532768000 23292423217645 3935521193060245 665395988477163525 112456200359182040545 19004922348465889792000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.264943912836779, 0.582772800110671], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 11, 'curve_counts': [11, 195, 2207, 28723, 373106, 4825635, 62718947, 815705443, 10604574191, 137858191350], 'curve_counts_str': '11 195 2207 28723 373106 4825635 62718947 815705443 10604574191 137858191350 ', 'curves': ['y^2=7*x^6+10*x^5+7*x^4+3*x^3+6*x^2+x+1', 'y^2=11*x^5+6*x^4+5*x^3+6*x^2+8*x+7', 'y^2=2*x^6+5*x^5+5*x^4+4*x^3+12*x^2+8*x+11', 'y^2=7*x^6+3*x^4+3*x^3+7*x^2+9*x+6', 'y^2=10*x^6+7*x^5+11*x^4+10*x^3+6*x^2+2*x+8', 'y^2=x^6+6*x^5+8*x^4+10*x^3+x^2+9*x+2', 'y^2=8*x^6+12*x^5+x^4+4*x^3+12*x^2+3*x+9', 'y^2=5*x^5+4*x^4+10*x^3+12*x^2+7*x+4', 'y^2=6*x^6+3*x^5+8*x^4+11*x^3+6*x^2+4*x+3', 'y^2=10*x^6+11*x^5+7*x^4+11*x^3+9*x^2+10*x+2', 'y^2=8*x^5+9*x^4+6*x^3+6*x^2+12*x+6', 'y^2=5*x^6+x^5+11*x^4+5*x^3+3*x^2+12*x+4', 'y^2=7*x^6+2*x^5+3*x^4+x^3+8*x^2+7', 'y^2=9*x^6+11*x^4+6*x^3+9*x^2+4*x+2', 'y^2=3*x^6+4*x^5+9*x^4+9*x^3+x+11'], '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': 2, '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': ['4.0.34525.1'], 'geometric_splitting_field': '4.0.34525.1', 'geometric_splitting_polynomials': [[95, -15, 19, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 15, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 15, 'label': '2.13.ad_r', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.34525.1'], 'p': 13, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 10]], 'poly': [1, -3, 17, -39, 169], 'poly_str': '1 -3 17 -39 169 ', 'primitive_models': [], 'principal_polarization_count': 15, 'q': 13, 'real_poly': [1, -3, -9], 'simple_distinct': ['2.13.ad_r'], 'simple_factors': ['2.13.ad_rA'], 'simple_multiplicities': [1], 'singular_primes': ['3,F^2+3*F-14'], 'size': 15, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.34525.1', 'splitting_polynomials': [[95, -15, 19, -1, 1]], 'twist_count': 2, 'twists': [['2.13.d_r', '2.169.z_pd', 2]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 10, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 1381, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,F^2+3*F-14']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.13.ad_r', 'extension_degree': 1, 'extension_label': '2.13.ad_r', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.34525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.13.ad_r', 'galois_group': '4T3', 'places': [['8', '9', '7', '2'], ['9', '5', '3', '12']]}
