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av_fq_isog • Show schema
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{'abvar_count': 976, 'abvar_counts': [976, 249856, 306445456, 148334510080, 93154617968896, 60951049991704576, 37697104136965345936, 23382391377902546452480, 14557764104761392701014096, 9087224972844505122645999616], 'abvar_counts_str': '976 249856 306445456 148334510080 93154617968896 60951049991704576 37697104136965345936 23382391377902546452480 14557764104761392701014096 9087224972844505122645999616 ', 'angle_corank': 2, 'angle_rank': 2, 'angles': [0.144130581889375, 0.417838834988402, 0.817838834988402, 0.944130581889375], 'center_dim': 8, 'curve_count': 9, 'curve_counts': [9, 15, 153, 607, 3054, 15975, 79053, 392287, 1953909, 9757330], 'curve_counts_str': '9 15 153 607 3054 15975 79053 392287 1953909 9757330 ', 'curves': ['y^2=x^9+x^7+4*x^6+2*x^5+x^4+4*x^3+4*x^2+2*x+1', 'y^2=x^10+2*x^8+4*x^7+x^6+3*x^4+2*x^3+3*x^2+4*x', 'y^2=x^10+x^9+4*x^8+3*x^7+x^6+x^4+4*x^3+4*x^2+2*x+4'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 1, 'dim4_factors': 1, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['8T10'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 2, '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': 5, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.8525.1'], 'geometric_splitting_field': '4.0.8525.1', 'geometric_splitting_polynomials': [[25, -5, 9, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '4.5.d_ab_ad_q', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 30, 'newton_coelevation': 6, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['8.0.1816890625.4'], 'p': 5, 'p_rank': 4, 'p_rank_deficit': 0, 'poly': [1, 3, -1, -3, 16, -15, -25, 375, 625], 'poly_str': '1 3 -1 -3 16 -15 -25 375 625 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 3, -21, -48, 76], 'simple_distinct': ['4.5.d_ab_ad_q'], 'simple_factors': ['4.5.d_ab_ad_qA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '0D', '1A', '1B', '1C', '1D'], 'splitting_field': '8.0.1816890625.4', 'splitting_polynomials': [[625, -250, -25, -40, 41, -8, -1, -2, 1]], 'twist_count': 10, 'twists': [['4.5.ad_ab_d_q', '4.25.al_bz_ab_abee', 2], ['4.5.ac_ab_ai_bp', '4.3125.acu_achw_agyyy_cmxuta', 5], ['4.5.ac_t_abc_fl', '4.3125.acu_achw_agyyy_cmxuta', 5], ['4.5.a_r_a_er', '4.9765625.amhc_dspczs_axzwgswdc_fakugxwfsne', 10], ['4.5.c_ab_i_bp', '4.9765625.amhc_dspczs_axzwgswdc_fakugxwfsne', 10], ['4.5.c_t_bc_fl', '4.9765625.amhc_dspczs_axzwgswdc_fakugxwfsne', 10], ['4.5.b_ai_ab_bz', '4.30517578125.acjgfg_cqzbkdvqa_abvseyhpvenqui_wbourbezhwzcjdnq', 15], ['4.5.a_ar_a_er', '4.95367431640625.bqolxg_berjfpamrom_bnpmzclmepdniupc_bwyrscunfsrcimmszbzkg', 20], ['4.5.ab_ai_b_bz', '4.931322574615478515625.agibgiedk_cjagunkrkqjmgwpo_ajsehcqdlwamlajpsbaamcya_cadyfmusaznelnekhcbspkdaxxavbus', 30]]}
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av_fq_endalg_factors • Show schema
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id: 2770295
{'base_label': '4.5.d_ab_ad_q', 'extension_degree': 1, 'extension_label': '4.5.d_ab_ad_q', 'multiplicity': 1}
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id: 2770296
{'base_label': '4.5.d_ab_ad_q', 'extension_degree': 5, 'extension_label': '2.3125.abk_accw', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '8.0.1816890625.4', 'center_dim': 8, 'divalg_dim': 1, 'extension_label': '4.5.d_ab_ad_q', 'galois_group': '8T10', 'places': [['2', '1', '0', '0', '0', '0', '0', '0'], ['3', '16/5', '29/25', '3/125', '211/125', '92/125', '609/125', '578/125']]}
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av_fq_endalg_data • Show schema
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id: 2252739
{'brauer_invariants': ['0', '0'], 'center': '4.0.8525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3125.abk_accw', 'galois_group': '4T3', 'places': [['3', '1/5', '21/5', '24/5'], ['2', '1', '0', '0']]}
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id: 2319449
{'brauer_invariants': ['0', '0'], 'center': '4.0.8525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3125.abk_accw', 'galois_group': '4T3', 'places': [['3', '6/5', '16/5', '24/5'], ['2', '1', '0', '0']]}
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id: 2350316
{'brauer_invariants': ['0', '0'], 'center': '4.0.8525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.3125.abk_accw', 'galois_group': '4T3', 'places': [['4', '13/5', '8/5', '2/5'], ['2', '1', '0', '0']]}