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av_fq_isog • Show schema
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{'abvar_count': 516, 'abvar_counts': [516, 266256, 148055364, 78794735616, 41426498344836, 21920390809172496, 11592836330182043844, 6132581697353475686400, 3244150909893984987621636, 1716154765114699847567866896], 'abvar_counts_str': '516 266256 148055364 78794735616 41426498344836 21920390809172496 11592836330182043844 6132581697353475686400 3244150909893984987621636 1716154765114699847567866896 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.200780744796092, 0.799219255203909], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 24, 'curve_counts': [24, 502, 12168, 281566, 6436344, 148074838, 3404825448, 78310618558, 1801152661464, 41426485476022], 'curve_counts_str': '24 502 12168 281566 6436344 148074838 3404825448 78310618558 1801152661464 41426485476022 ', 'curves': ['y^2=3*x^6+12*x^5+18*x^4+8*x^3+18*x^2+22*x+8', 'y^2=11*x^6+22*x^5+18*x^4+4*x^3+10*x^2+19*x+4', 'y^2=15*x^6+9*x^5+4*x^4+3*x^3+19*x^2+8*x+15', 'y^2=18*x^6+7*x^5+3*x^4+2*x^2+9*x+4', 'y^2=21*x^6+12*x^5+15*x^4+10*x^2+22*x+20', 'y^2=12*x^6+17*x^5+6*x^4+4*x^3+11*x^2+22*x+19', 'y^2=10*x^6+11*x^4+12*x^3+2*x^2+18*x+5', 'y^2=4*x^6+9*x^4+14*x^3+10*x^2+21*x+2', 'y^2=7*x^6+11*x^5+7*x^4+14*x^3+5*x+6', 'y^2=12*x^6+9*x^5+12*x^4+x^3+2*x+7', 'y^2=16*x^6+9*x^5+16*x^3+5*x^2+x+11', 'y^2=15*x^6+22*x^5+4*x^4+2*x^3+22*x^2+10*x+3', 'y^2=8*x^6+22*x^4+10*x^3+9*x^2+10', 'y^2=8*x^6+15*x^5+10*x^4+13*x^3+9*x^2+16*x+7', 'y^2=17*x^6+6*x^5+4*x^4+19*x^3+22*x^2+11*x+12', 'y^2=6*x^6+6*x^5+21*x^4+16*x^3+12*x^2+9*x+15', 'y^2=12*x^6+12*x^5+7*x^4+5*x^3+14*x^2+20*x+17', 'y^2=14*x^6+14*x^5+12*x^4+2*x^3+x^2+8*x+16', 'y^2=11*x^6+13*x^5+22*x^4+6*x^3+12*x^2+2*x+16', 'y^2=14*x^6+21*x^5+14*x^4+11*x^3+12*x^2+22*x+6', 'y^2=14*x^6+5*x^5+21*x^4+17*x^3+20*x^2+11*x+19', 'y^2=18*x^6+19*x^5+10*x^4+9*x^3+22*x^2+10*x+2', 'y^2=20*x^6+16*x^5+8*x^4+15*x^3+7*x^2+18*x+1', 'y^2=13*x^6+22*x^5+6*x^4+20*x^3+5*x^2+14*x+17', 'y^2=3*x^6+19*x^5+9*x^4+4*x^3+4*x^2+x+20', 'y^2=15*x^6+3*x^5+22*x^4+20*x^3+20*x^2+5*x+8', 'y^2=19*x^6+12*x^5+7*x^4+12*x^3+18*x^2+13*x+18', 'y^2=3*x^6+14*x^5+12*x^4+14*x^3+21*x^2+19*x+21', 'y^2=3*x^6+12*x^5+9*x^4+7*x^3+21*x^2+4*x+10', 'y^2=13*x^6+6*x^5+16*x^4+19*x^3+3*x^2+3*x+5', 'y^2=19*x^6+7*x^5+11*x^4+3*x^3+15*x^2+15*x+2', 'y^2=10*x^6+8*x^5+4*x^4+20*x^3+20*x^2+16*x+8', 'y^2=20*x^6+8*x^5+2*x^4+16*x^3+3*x^2+7*x+4', 'y^2=2*x^6+4*x^5+7*x^4+16*x^3+3*x^2+12*x+19', 'y^2=11*x^6+22*x^5+21*x^4+3*x^3+3*x^2+15*x+6', 'y^2=5*x^6+9*x^5+3*x^4+5*x^3+15*x^2+18*x+3', 'y^2=2*x^6+22*x^5+15*x^4+2*x^3+6*x^2+21*x+15', 'y^2=2*x^6+20*x^5+15*x^4+2*x^3+2*x^2+7*x+5', 'y^2=20*x^5+10*x^4+8*x^3+9*x^2+7*x', 'y^2=14*x^6+15*x^5+4*x^4+2*x^3+11*x^2+20*x+13', 'y^2=x^6+19*x^5+5*x^4+x^3+3*x+14', 'y^2=5*x^6+3*x^5+2*x^4+5*x^3+15*x+1', 'y^2=16*x^6+19*x^5+19*x^4+5*x^3+9*x^2+11*x+21', 'y^2=11*x^6+3*x^5+3*x^4+2*x^3+22*x^2+9*x+13', 'y^2=2*x^6+12*x^5+18*x^4+16*x^3+13*x^2+19*x+10', 'y^2=10*x^6+14*x^5+21*x^4+11*x^3+19*x^2+3*x+4', 'y^2=21*x^6+11*x^5+5*x^4+5*x^3+20*x^2+3*x+5', 'y^2=4*x^6+17*x^5+13*x^4+9*x^3+19*x^2+11*x+17'], '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': 6, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.120.1'], 'geometric_splitting_field': '2.0.120.1', 'geometric_splitting_polynomials': [[30, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 48, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 48, 'label': '2.23.a_ao', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.57600.2'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -14, 0, 529], 'poly_str': '1 0 -14 0 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 0, -60], 'simple_distinct': ['2.23.a_ao'], 'simple_factors': ['2.23.a_aoA'], 'simple_multiplicities': [1], 'singular_primes': ['2,2*F^2-F+1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.57600.2', 'splitting_polynomials': [[49, 0, 16, 0, 1]], 'twist_count': 4, 'twists': [['2.23.a_o', '2.279841.coi_cwdcw', 4], ['2.23.ai_bg', '2.78310985281.auwmu_xrvxveio', 8], ['2.23.i_bg', '2.78310985281.auwmu_xrvxveio', 8]], 'weak_equivalence_count': 6, 'zfv_index': 32, 'zfv_index_factorization': [[2, 5]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1024, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,2*F^2-F+1']}
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av_fq_endalg_factors • Show schema
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id: 13295
{'base_label': '2.23.a_ao', 'extension_degree': 1, 'extension_label': '2.23.a_ao', 'multiplicity': 1}
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id: 13296
{'base_label': '2.23.a_ao', 'extension_degree': 2, 'extension_label': '1.529.ao', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.57600.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.a_ao', 'galois_group': '4T2', 'places': [['14', '0', '0', '12'], ['9', '0', '0', '12']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.120.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.529.ao', 'galois_group': '2T1', 'places': [['4', '1'], ['19', '1']]}
