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av_fq_isog • Show schema
{'abvar_count': 8645, 'abvar_counts': [8645, 139400625, 1678246519040, 19929441718265625, 236741326284779040725, 2812668843555548490240000, 33417272080346919018849589085, 397030587933589079476440324515625, 4717120417020773116469845640208615680, 56044107679692706273795429939557468140625], 'abvar_counts_str': '8645 139400625 1678246519040 19929441718265625 236741326284779040725 2812668843555548490240000 33417272080346919018849589085 397030587933589079476440324515625 4717120417020773116469845640208615680 56044107679692706273795429939557468140625 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.136131296974141, 0.244888641568057], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 76, 'curve_counts': [76, 11732, 1295914, 141185188, 15386561836, 1677102532742, 182803921971964, 19925626408252228, 2171893279319883346, 236736367467278869652], 'curve_counts_str': '76 11732 1295914 141185188 15386561836 1677102532742 182803921971964 19925626408252228 2171893279319883346 236736367467278869652 ', 'curves': ['y^2=28*x^6+34*x^5+91*x^4+67*x^3+51*x^2+61*x+3', 'y^2=73*x^6+58*x^5+32*x^4+51*x^3+3*x^2+93*x+65', 'y^2=29*x^6+7*x^5+63*x^4+72*x^3+103*x^2+8*x+101', 'y^2=37*x^6+39*x^5+82*x^4+80*x^3+48*x^2+95*x+91', 'y^2=40*x^6+97*x^5+62*x^4+8*x^3+92*x^2+76*x+107', 'y^2=92*x^6+64*x^5+52*x^4+8*x^3+3*x^2+17*x+41', 'y^2=95*x^6+76*x^5+54*x^4+86*x^3+65*x^2+53*x+53', 'y^2=31*x^6+43*x^5+105*x^4+38*x^3+20*x^2+71*x+58', 'y^2=63*x^6+45*x^5+13*x^4+92*x^3+90*x^2+80*x+4', 'y^2=66*x^6+x^5+22*x^4+42*x^3+80*x^2+97*x+39', 'y^2=6*x^6+51*x^5+84*x^4+101*x^3+89*x^2+37*x+24', 'y^2=12*x^6+90*x^5+90*x^4+76*x^3+107*x^2+105*x+13', 'y^2=55*x^6+60*x^5+24*x^4+64*x^3+56*x^2+66*x+70', 'y^2=14*x^6+59*x^5+7*x^4+57*x^3+79*x^2+58*x+105', 'y^2=74*x^6+19*x^5+38*x^4+108*x^3+12*x^2+65*x+73', 'y^2=14*x^6+20*x^5+76*x^4+14*x^3+17*x^2+37*x+79', 'y^2=57*x^6+8*x^5+108*x^4+81*x^3+63*x^2+60*x+16', 'y^2=72*x^6+99*x^5+7*x^4+28*x^3+7*x^2+99*x+72', 'y^2=103*x^6+46*x^5+39*x^4+30*x^3+107*x^2+94*x+40', 'y^2=17*x^6+93*x^5+15*x^4+49*x^3+83*x^2+12*x+33', 'y^2=45*x^6+93*x^5+85*x^4+11*x^3+92*x^2+104*x+4', 'y^2=28*x^6+15*x^5+103*x^4+67*x^3+17*x^2+75*x+3', 'y^2=49*x^6+17*x^5+103*x^4+45*x^3+77*x^2+96*x+78', 'y^2=90*x^6+71*x^5+x^4+102*x^3+72*x^2+77*x+76', 'y^2=3*x^6+73*x^5+64*x^4+73*x^3+x^2+15*x+106', 'y^2=5*x^6+87*x^5+63*x^4+89*x^3+48*x^2+41*x+39', 'y^2=57*x^6+58*x^5+44*x^4+67*x^3+96*x^2+59*x+24', 'y^2=55*x^6+59*x^5+35*x^4+45*x^3+26*x^2+8*x+19', 'y^2=22*x^6+74*x^5+82*x^4+36*x^3+46*x^2+96*x+86', 'y^2=4*x^6+15*x^5+36*x^4+59*x^3+78*x^2+65*x+88', 'y^2=67*x^6+14*x^5+6*x^4+88*x^3+103*x^2+14*x+42', 'y^2=86*x^6+2*x^5+102*x^4+26*x^3+43*x^2+51*x+107', 'y^2=57*x^6+98*x^5+35*x^4+19*x^3+9*x^2+37*x+58', 'y^2=17*x^6+81*x^5+6*x^4+71*x^3+95*x^2+72*x+53', 'y^2=95*x^6+67*x^5+87*x^4+99*x^3+79*x^2+62*x+77', 'y^2=105*x^6+77*x^5+22*x^4+5*x^3+69*x^2+9*x+48', 'y^2=84*x^6+49*x^5+11*x^4+45*x^3+77*x^2+3*x+36', 'y^2=65*x^6+75*x^5+70*x^4+23*x^3+86*x^2+22*x+50', 'y^2=73*x^6+76*x^5+98*x^4+91*x^3+75*x^2+19*x+83', 'y^2=52*x^6+54*x^5+8*x^4+7*x^3+98*x+51', 'y^2=15*x^6+52*x^5+51*x^4+68*x^3+70*x^2+3*x+85', 'y^2=59*x^6+82*x^5+88*x^4+100*x^3+97*x^2+29*x+18'], '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': 6, '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': ['2.0.3.1', '2.0.211.1'], 'geometric_splitting_field': '4.0.400689.1', 'geometric_splitting_polynomials': [[2809, -53, -52, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 42, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 42, 'label': '2.109.abi_tj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.3.1', '2.0.211.1'], 'p': 109, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [2, 5, 1, 9], [2, 11, 1, 18]], 'poly': [1, -34, 503, -3706, 11881], 'poly_str': '1 -34 503 -3706 11881 ', 'primitive_models': [], 'principal_polarization_count': 51, 'q': 109, 'real_poly': [1, -34, 285], 'simple_distinct': ['1.109.at', '1.109.ap'], 'simple_factors': ['1.109.atA', '1.109.apA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,9*F+V+1', '5,-11*F+V-25'], 'size': 72, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400689.1', 'splitting_polynomials': [[2809, -53, -52, -1, 1]], 'twist_count': 12, 'twists': [['2.109.ae_acp', '2.11881.afu_bkql', 2], ['2.109.e_acp', '2.11881.afu_bkql', 2], ['2.109.bi_tj', '2.11881.afu_bkql', 2], ['2.109.an_hg', '2.1295029.bia_dndja', 3], ['2.109.c_abl', '2.1295029.bia_dndja', 3], ['2.109.abg_sf', '2.1677100110841.fhusa_srakuvwly', 6], ['2.109.ar_jo', '2.1677100110841.fhusa_srakuvwly', 6], ['2.109.ac_abl', '2.1677100110841.fhusa_srakuvwly', 6], ['2.109.n_hg', '2.1677100110841.fhusa_srakuvwly', 6], ['2.109.r_jo', '2.1677100110841.fhusa_srakuvwly', 6], ['2.109.bg_sf', '2.1677100110841.fhusa_srakuvwly', 6]], 'weak_equivalence_count': 6, 'zfv_index': 80, 'zfv_index_factorization': [[2, 4], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 36, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 15825, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,9*F+V+1', '5,-11*F+V-25']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.109.at', 'galois_group': '2T1', 'places': [['63', '1'], ['45', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.211.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.109.ap', 'galois_group': '2T1', 'places': [['101', '1'], ['7', '1']]}
Abelian variety isogeny class data - 2.109.abi_tj