-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 1417, 'abvar_counts': [1417, 2007889, 2565637204, 3514466345481, 4808584331522257, 6582494262548937616, 9012061296183828474553, 12337536280172719319294409, 16890053810563277509006405876, 23122483273361351215182886374049], 'abvar_counts_str': '1417 2007889 2565637204 3514466345481 4808584331522257 6582494262548937616 9012061296183828474553 12337536280172719319294409 16890053810563277509006405876 23122483273361351215182886374049 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.359527799744157, 0.640472200255843], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 38, 'curve_counts': [38, 1464, 50654, 1875220, 69343958, 2565547998, 94931877134, 3512486390884, 129961739795078, 4808584290626664], 'curve_counts_str': '38 1464 50654 1875220 69343958 2565547998 94931877134 3512486390884 129961739795078 4808584290626664 ', 'curves': ['y^2=15*x^6+x^5+2*x^4+10*x^3+17*x^2+9*x+21', 'y^2=30*x^6+2*x^5+4*x^4+20*x^3+34*x^2+18*x+5', 'y^2=36*x^6+36*x^5+6*x^4+6*x^3+29*x^2+36*x+27', 'y^2=35*x^6+35*x^5+12*x^4+12*x^3+21*x^2+35*x+17', 'y^2=25*x^6+x^5+28*x^4+29*x^3+28*x^2+4*x+3', 'y^2=13*x^6+2*x^5+19*x^4+21*x^3+19*x^2+8*x+6', 'y^2=24*x^6+27*x^5+x^4+18*x^3+30*x^2+33*x+25', 'y^2=11*x^6+17*x^5+2*x^4+36*x^3+23*x^2+29*x+13', 'y^2=28*x^6+28*x^5+29*x^3+17*x^2+14*x+29', 'y^2=19*x^6+19*x^5+21*x^3+34*x^2+28*x+21', 'y^2=15*x^6+34*x^5+29*x^4+16*x^3+7*x^2+9*x+19', 'y^2=30*x^6+31*x^5+21*x^4+32*x^3+14*x^2+18*x+1', 'y^2=24*x^6+12*x^5+11*x^4+8*x^3+32*x^2+19*x+26', 'y^2=11*x^6+24*x^5+22*x^4+16*x^3+27*x^2+x+15', 'y^2=5*x^6+8*x^5+12*x^4+6*x^3+34*x^2+29*x+32', 'y^2=10*x^6+16*x^5+24*x^4+12*x^3+31*x^2+21*x+27', 'y^2=34*x^6+x^5+21*x^4+9*x^3+9*x^2+x+19', 'y^2=31*x^6+2*x^5+5*x^4+18*x^3+18*x^2+2*x+1', 'y^2=28*x^6+9*x^5+x^4+33*x^3+7*x^2+8*x+18', 'y^2=19*x^6+18*x^5+2*x^4+29*x^3+14*x^2+16*x+36', 'y^2=33*x^6+30*x^5+18*x^4+23*x^3+2*x^2+x+17', 'y^2=29*x^6+23*x^5+36*x^4+9*x^3+4*x^2+2*x+34', 'y^2=x^6+29*x^5+29*x^4+9*x^3+19*x^2+15*x+29', 'y^2=2*x^6+21*x^5+21*x^4+18*x^3+x^2+30*x+21', 'y^2=x^6+23*x^5+30*x^4+13*x^3+13*x^2+28*x+19', 'y^2=2*x^6+9*x^5+23*x^4+26*x^3+26*x^2+19*x+1', 'y^2=16*x^6+8*x^5+6*x^4+18*x^3+30*x^2+10*x+7', 'y^2=32*x^6+16*x^5+12*x^4+36*x^3+23*x^2+20*x+14', 'y^2=4*x^6+3*x^5+33*x^4+32*x^3+22*x^2+12*x+4', 'y^2=8*x^6+6*x^5+29*x^4+27*x^3+7*x^2+24*x+8', 'y^2=26*x^6+16*x^5+6*x^4+9*x^3+34*x^2+23*x+16', 'y^2=15*x^6+32*x^5+12*x^4+18*x^3+31*x^2+9*x+32', 'y^2=29*x^6+31*x^5+34*x^4+8*x^3+24*x^2+32*x+1', 'y^2=21*x^6+25*x^5+31*x^4+16*x^3+11*x^2+27*x+2', 'y^2=3*x^6+31*x^5+4*x^4+34*x^3+30*x^2+23*x+29', 'y^2=6*x^6+25*x^5+8*x^4+31*x^3+23*x^2+9*x+21', 'y^2=36*x^6+x^5+35*x^4+19*x^3+11*x^2+33*x+30', 'y^2=35*x^6+2*x^5+33*x^4+x^3+22*x^2+29*x+23', 'y^2=31*x^6+17*x^5+24*x^4+10*x^3+17*x^2+25*x+36', 'y^2=25*x^6+34*x^5+11*x^4+20*x^3+34*x^2+13*x+35', 'y^2=x^6+19*x^5+27*x^3+25*x^2+30*x+23', 'y^2=2*x^6+x^5+17*x^3+13*x^2+23*x+9', 'y^2=7*x^6+3*x^5+10*x^4+28*x^3+5*x^2+10*x+24', 'y^2=20*x^6+16*x^5+7*x^4+2*x^3+2*x^2+30*x+16', 'y^2=18*x^6+11*x^5+22*x^4+19*x^3+6*x+6', 'y^2=36*x^6+22*x^5+7*x^4+x^3+12*x+12', 'y^2=36*x^6+2*x^5+20*x^4+22*x^3+34*x^2+31*x+33', 'y^2=35*x^6+4*x^5+3*x^4+7*x^3+31*x^2+25*x+29', 'y^2=6*x^6+27*x^5+22*x^4+23*x^3+10*x^2+33*x+2', 'y^2=12*x^6+17*x^5+7*x^4+9*x^3+20*x^2+29*x+4', 'y^2=5*x^6+15*x^5+20*x^4+7*x^3+26*x^2+8*x+2', 'y^2=10*x^6+30*x^5+3*x^4+14*x^3+15*x^2+16*x+4', 'y^2=17*x^6+26*x^5+26*x^4+9*x^3+20*x^2+11*x+10', 'y^2=34*x^6+15*x^5+15*x^4+18*x^3+3*x^2+22*x+20', 'y^2=29*x^6+23*x^5+34*x^4+17*x^3+5*x^2+31*x+11', 'y^2=7*x^6+30*x^5+34*x^4+19*x^3+22*x^2+20*x+18', 'y^2=14*x^6+23*x^5+31*x^4+x^3+7*x^2+3*x+36', 'y^2=22*x^6+23*x^5+2*x^4+32*x^3+x^2+15*x+12', 'y^2=5*x^6+32*x^5+24*x^4+17*x^3+4*x^2+5*x+30', 'y^2=27*x^6+7*x^5+5*x^4+32*x^3+x^2+21*x+31', 'y^2=27*x^6+29*x^5+16*x^4+34*x^3+17*x^2+x+6', 'y^2=17*x^6+21*x^5+32*x^4+31*x^3+34*x^2+2*x+12', 'y^2=12*x^6+26*x^5+34*x^4+x^3+24*x^2+29*x+29', 'y^2=35*x^6+21*x^5+30*x^4+11*x^3+15*x^2+33*x+9', 'y^2=28*x^6+35*x^5+29*x^4+6*x^3+17*x^2+34*x+11', 'y^2=19*x^6+33*x^5+21*x^4+12*x^3+34*x^2+31*x+22', 'y^2=20*x^6+36*x^5+24*x^4+11*x^3+19*x^2+17*x+34', 'y^2=3*x^6+35*x^5+11*x^4+22*x^3+x^2+34*x+31', 'y^2=25*x^6+2*x^5+18*x^4+6*x^3+18*x^2+10*x+13', 'y^2=13*x^6+4*x^5+36*x^4+12*x^3+36*x^2+20*x+26', 'y^2=3*x^6+5*x^4+12*x^3+32*x^2+32*x+3', 'y^2=6*x^6+10*x^4+24*x^3+27*x^2+27*x+6', 'y^2=15*x^6+29*x^5+30*x^4+13*x^3+26*x^2+12*x+25', 'y^2=30*x^6+21*x^5+23*x^4+26*x^3+15*x^2+24*x+13', 'y^2=11*x^6+28*x^5+28*x^4+28*x^3+29*x^2+15*x+32', 'y^2=22*x^6+19*x^5+19*x^4+19*x^3+21*x^2+30*x+27', 'y^2=34*x^6+17*x^5+17*x^4+34*x^3+30*x^2+16*x+27', 'y^2=31*x^6+34*x^5+34*x^4+31*x^3+23*x^2+32*x+17', 'y^2=11*x^6+15*x^5+36*x^4+20*x^3+20*x^2+32*x+25', 'y^2=22*x^6+30*x^5+35*x^4+3*x^3+3*x^2+27*x+13', 'y^2=21*x^6+6*x^5+4*x^4+15*x^3+2*x^2+4*x+18', 'y^2=5*x^6+12*x^5+8*x^4+30*x^3+4*x^2+8*x+36', 'y^2=2*x^6+20*x^5+16*x^4+10*x^3+7*x^2+21*x+4', 'y^2=4*x^6+3*x^5+32*x^4+20*x^3+14*x^2+5*x+8', 'y^2=36*x^6+17*x^5+17*x^4+23*x^3+36*x^2+20*x+19', 'y^2=35*x^6+34*x^5+34*x^4+9*x^3+35*x^2+3*x+1', 'y^2=34*x^6+11*x^5+32*x^4+6*x^3+12*x^2+27*x+22', 'y^2=31*x^6+22*x^5+27*x^4+12*x^3+24*x^2+17*x+7'], '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': 8, '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 88, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 88, 'label': '2.37.a_bv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.144.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, 47, 0, 1369], 'poly_str': '1 0 47 0 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 0, -27], 'simple_distinct': ['2.37.a_bv'], 'simple_factors': ['2.37.a_bvA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-F-V-18', '11,4*F^2-F-7', '11,F^2+79*F+62*V'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.37.a_acv', '2.50653.a_afbza', 3], ['2.37.a_ba', '2.50653.a_afbza', 3], ['2.37.aw_hn', '2.1874161.bos_ivevj', 4], ['2.37.a_abv', '2.1874161.bos_ivevj', 4], ['2.37.w_hn', '2.1874161.bos_ivevj', 4], ['2.37.av_hc', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.au_gs', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.am_dh', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.al_dg', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.ak_cl', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.aj_cm', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.ac_cx', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.ab_abk', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.a_aba', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.a_cv', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.b_abk', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.c_cx', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.j_cm', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.k_cl', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.l_dg', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.m_dh', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.u_gs', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.v_hc', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12]], 'weak_equivalence_count': 8, 'zfv_index': 1089, 'zfv_index_factorization': [[3, 2], [11, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 14641, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,-F-V-18', '11,4*F^2-F-7', '11,F^2+79*F+62*V']}
-
av_fq_endalg_factors • Show schema
Hide schema
-
id: 24591
{'base_label': '2.37.a_bv', 'extension_degree': 1, 'extension_label': '2.37.a_bv', 'multiplicity': 1}
-
id: 24592
{'base_label': '2.37.a_bv', 'extension_degree': 2, 'extension_label': '1.1369.bv', 'multiplicity': 2}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.a_bv', 'galois_group': '4T2', 'places': [['8', '1', '0', '0'], ['29', '1', '0', '0'], ['14', '1', '0', '0'], ['23', '1', '0', '0']]}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1369.bv', 'galois_group': '2T1', 'places': [['26', '1'], ['10', '1']]}
