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av_fq_isog • Show schema
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{'abvar_count': 1617, 'abvar_counts': [1617, 1877337, 2593228176, 3514106404809, 4806912491573577, 6582966402371014656, 9012013163947712586129, 12337536864200279793086025, 16890053652028214851400588304, 23122483557183557920537544033577], 'abvar_counts_str': '1617 1877337 2593228176 3514106404809 4806912491573577 6582966402371014656 9012013163947712586129 12337536864200279793086025 16890053652028214851400588304 23122483557183557920537544033577 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.365180502153469, 0.859527799744157], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 44, 'curve_counts': [44, 1372, 51194, 1875028, 69319844, 2565732022, 94931370116, 3512486557156, 129961738575218, 4808584349650732], 'curve_counts_str': '44 1372 51194 1875028 69319844 2565732022 94931370116 3512486557156 129961738575218 4808584349650732 ', 'curves': ['y^2=13*x^6+20*x^5+8*x^4+21*x^3+21*x^2+25*x+29', 'y^2=9*x^6+20*x^5+14*x^4+13*x^3+21*x^2+23*x+20', 'y^2=24*x^6+20*x^5+27*x^4+34*x^3+33*x+34', 'y^2=11*x^6+10*x^4+30*x^3+35*x^2+22*x+17', 'y^2=7*x^6+11*x^5+25*x^4+5*x^3+35*x^2+34*x+24', 'y^2=17*x^6+x^5+26*x^4+30*x^3+3*x^2+12*x+15', 'y^2=5*x^6+33*x^5+13*x^4+22*x^3+23*x^2+7*x+31', 'y^2=2*x^6+23*x^5+30*x^4+9*x^3+28*x^2+35', 'y^2=32*x^6+10*x^5+11*x^4+7*x^3+35*x^2+34*x+11', 'y^2=36*x^6+18*x^5+27*x^4+21*x^3+16*x^2+14*x+35', 'y^2=4*x^6+16*x^5+10*x^4+20*x^3+28*x^2+14*x+18', 'y^2=18*x^6+3*x^4+5*x^3+11*x^2+18*x+11', 'y^2=7*x^6+34*x^5+20*x^4+15*x^2+26*x+36', 'y^2=15*x^6+5*x^5+22*x^4+9*x^3+15*x+20', 'y^2=29*x^6+8*x^5+29*x^4+x^3+x^2+2*x+29', 'y^2=18*x^6+24*x^5+34*x^4+32*x^3+28*x^2+5*x+10', 'y^2=31*x^6+21*x^5+10*x^4+4*x^3+21*x^2+36*x+8', 'y^2=31*x^6+28*x^5+8*x^4+6*x^3+20*x^2+28*x+1', 'y^2=36*x^6+4*x^5+3*x^4+25*x^3+34*x^2+28*x+13', 'y^2=13*x^6+23*x^5+5*x^4+4*x^3+22*x^2+31', 'y^2=21*x^6+15*x^5+6*x^4+26*x^3+21*x^2+35*x+4', 'y^2=4*x^6+36*x^5+13*x^4+14*x^3+13*x^2+29*x+16', 'y^2=32*x^6+23*x^5+2*x^4+29*x^3+24*x^2+4*x+12', 'y^2=x^6+24*x^5+16*x^4+8*x^3+10*x^2+14*x+10', 'y^2=26*x^6+13*x^5+36*x^4+34*x^3+27*x^2+14*x+34', 'y^2=11*x^6+29*x^5+8*x^4+11*x^3+25*x^2+12*x+21', 'y^2=13*x^6+21*x^5+16*x^4+19*x^3+21*x^2+21*x+24', 'y^2=16*x^6+10*x^5+22*x^4+x^3+17*x^2+15*x+36', 'y^2=27*x^6+30*x^5+15*x^4+2*x^3+10*x^2+36*x+1', 'y^2=7*x^6+33*x^5+33*x^4+4*x^3+x^2+36*x+35', 'y^2=13*x^6+6*x^4+24*x^3+20*x^2+x+36', 'y^2=x^6+19*x^5+13*x^4+23*x^3+21*x^2+31*x+12', 'y^2=14*x^6+5*x^5+27*x^4+16*x^3+19*x^2+20*x+35', 'y^2=10*x^6+9*x^5+28*x^4+28*x^3+3*x^2+x+1', 'y^2=25*x^6+13*x^5+17*x^4+16*x^3+15*x^2+20*x+3', 'y^2=30*x^6+15*x^5+35*x^4+23*x^3+3*x^2+29*x+4', 'y^2=20*x^6+5*x^5+24*x^4+24*x^3+11*x^2+30*x+8', 'y^2=24*x^6+11*x^5+30*x^4+10*x^3+2*x^2+7*x+34', 'y^2=12*x^6+28*x^5+28*x^4+8*x^3+24*x^2+18*x+12', 'y^2=30*x^6+16*x^5+28*x^4+3*x^3+4*x^2+26*x+3', 'y^2=13*x^6+15*x^5+23*x^4+9*x^3+13*x^2+20*x+27', 'y^2=18*x^6+27*x^5+16*x^4+15*x^3+35*x+5', 'y^2=3*x^6+5*x^5+18*x^4+25*x^3+21*x^2+4*x+5', 'y^2=3*x^6+27*x^4+16*x^3+27*x^2+9*x+36', 'y^2=33*x^6+x^4+36*x^3+35*x^2+30*x+24', 'y^2=29*x^6+30*x^5+19*x^4+10*x^3+6*x+32', 'y^2=21*x^6+36*x^5+6*x^4+8*x^3+19*x^2+28*x+25', 'y^2=13*x^6+20*x^5+9*x^4+26*x^3+3*x^2+17*x+25', 'y^2=33*x^6+12*x^5+36*x^4+18*x^3+19*x^2+10*x+6', 'y^2=7*x^6+31*x^5+29*x^4+33*x^3+23*x^2+7*x+24', 'y^2=9*x^6+19*x^5+29*x^4+x^3+28*x^2+35*x+25', 'y^2=36*x^6+22*x^5+34*x^4+34*x^3+20*x^2+26*x+5', 'y^2=11*x^6+35*x^5+3*x^4+26*x^3+36*x^2+25*x+31', 'y^2=35*x^6+2*x^5+29*x^4+18*x^3+33*x^2+3*x+9', 'y^2=14*x^6+28*x^5+26*x^4+20*x^3+24*x^2+26*x+34', 'y^2=13*x^6+15*x^5+24*x^4+29*x^3+31*x^2+19*x+6', 'y^2=x^6+x^5+25*x^4+28*x^3+8*x^2+7*x+16', 'y^2=26*x^6+17*x^5+8*x^4+20*x^3+11*x^2+19*x+34', 'y^2=18*x^6+2*x^5+3*x^4+12*x^3+27*x^2+14*x+24', 'y^2=12*x^6+20*x^5+36*x^4+10*x^3+6*x^2+14*x+20', 'y^2=6*x^6+32*x^5+26*x^4+33*x^3+8*x^2+2*x+30', 'y^2=19*x^6+25*x^5+4*x^4+6*x^3+8*x^2+x+25', 'y^2=24*x^6+23*x^5+20*x^4+14*x^3+26*x^2+11*x+18', 'y^2=16*x^6+8*x^5+7*x^4+28*x^3+32*x^2+26*x+10'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 10, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.123.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.15129.1', 'geometric_splitting_polynomials': [[100, 10, 11, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 64, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 64, 'label': '2.37.g_t', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.123.1', '2.0.3.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 6, 19, 222, 1369], 'poly_str': '1 6 19 222 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 6, -55], 'simple_distinct': ['1.37.af', '1.37.l'], 'simple_factors': ['1.37.afA', '1.37.lA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F^2-7*F-19', '3,F-11'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.15129.1', 'splitting_polynomials': [[100, 10, 11, -1, 1]], 'twist_count': 12, 'twists': [['2.37.aq_ez', '2.1369.c_qt', 2], ['2.37.ag_t', '2.1369.c_qt', 2], ['2.37.q_ez', '2.1369.c_qt', 2], ['2.37.ap_eu', '2.50653.uu_ilvq', 3], ['2.37.ag_db', '2.50653.uu_ilvq', 3], ['2.37.af_y', '2.2565726409.ihw_ahntesic', 6], ['2.37.ae_cr', '2.2565726409.ihw_ahntesic', 6], ['2.37.e_cr', '2.2565726409.ihw_ahntesic', 6], ['2.37.f_y', '2.2565726409.ihw_ahntesic', 6], ['2.37.g_db', '2.2565726409.ihw_ahntesic', 6], ['2.37.p_eu', '2.2565726409.ihw_ahntesic', 6]], 'weak_equivalence_count': 10, 'zfv_index': 768, 'zfv_index_factorization': [[2, 8], [3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3321, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F^2-7*F-19', '3,F-11']}
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av_fq_endalg_factors • Show schema
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id: 25943
{'base_label': '2.37.g_t', 'extension_degree': 1, 'extension_label': '1.37.af', 'multiplicity': 1}
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id: 25944
{'base_label': '2.37.g_t', 'extension_degree': 1, 'extension_label': '1.37.l', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.123.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.af', 'galois_group': '2T1', 'places': [['34', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.l', 'galois_group': '2T1', 'places': [['26', '1'], ['10', '1']]}
