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av_fq_isog • Show schema
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{'abvar_count': 2025, 'abvar_counts': [2025, 1946025, 2522048400, 3520407875625, 4808760230300625, 6582505325581209600, 9012168089356972556025, 12337506881213969969375625, 16890049704735069393441488400, 23122484985007923745534025225625], 'abvar_counts_str': '2025 1946025 2522048400 3520407875625 4808760230300625 6582505325581209600 9012168089356972556025 12337506881213969969375625 16890049704735069393441488400 23122484985007923745534025225625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.69515222749844, 0.69515222749844], 'center_dim': 2, 'curve_count': 52, 'curve_counts': [52, 1420, 49786, 1878388, 69346492, 2565552310, 94933002076, 3512478021028, 129961708202482, 4808584646583100], 'curve_counts_str': '52 1420 49786 1878388 69346492 2565552310 94933002076 3512478021028 129961708202482 4808584646583100 ', 'curves': ['y^2=33*x^6+23*x^5+20*x^4+3*x^3+16*x^2+14*x+1', 'y^2=19*x^6+15*x^5+31*x^4+21*x^3+2*x^2+14*x+13', 'y^2=x^6+33*x^5+26*x^4+3*x^3+34*x^2+26*x+10', 'y^2=x^6+16*x^3+26', 'y^2=8*x^6+17*x^5+32*x^4+15*x^3+36*x^2+19*x+5', 'y^2=31*x^6+20*x^5+20*x^4+8*x^3+8*x^2+34*x+24', 'y^2=17*x^6+8*x^5+15*x^4+29*x^3+x^2+26*x+36', 'y^2=3*x^6+30*x^5+26*x^4+34*x^2+27*x+30', 'y^2=23*x^6+12*x^5+18*x^4+18*x^3+22*x^2+33*x+29', 'y^2=23*x^6+9*x^5+20*x^4+19*x^3+15*x^2+12*x+23', 'y^2=17*x^6+11*x^5+6*x^4+32*x^3+32*x^2+21*x+15', 'y^2=x^6+3*x^3+27', 'y^2=15*x^6+28*x^5+13*x^4+34*x^3+22*x^2+4*x+2', 'y^2=x^6+21*x^3+11', 'y^2=x^6+24*x^5+4*x^4+16*x^3+28*x^2+29*x+10', 'y^2=20*x^6+33*x^5+26*x^4+10*x^3+30*x^2+10*x+22'], 'dim1_distinct': 1, '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'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 16, 'label': '2.37.o_et', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3, 5], 'number_fields': ['2.0.11.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 14, 123, 518, 1369], 'poly_str': '1 14 123 518 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 14, 49], 'simple_distinct': ['1.37.h'], 'simple_factors': ['1.37.hA', '1.37.hB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 6, 'twists': [['2.37.ao_et', '2.1369.by_ezj', 2], ['2.37.a_z', '2.1369.by_ezj', 2], ['2.37.ah_m', '2.50653.abhk_qmmw', 3], ['2.37.a_az', '2.1874161.ggo_rzhod', 4], ['2.37.h_m', '2.2565726409.ajxoe_bpdrldqc', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.37.o_et', 'extension_degree': 1, 'extension_label': '1.37.h', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.h', 'galois_group': '2T1', 'places': [['13', '1'], ['23', '1']]}