-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 6511, 'abvar_counts': [6511, 40309601, 243001953316, 1517173770178025, 9468181066860522271, 59091163846365088096016, 368790255398255719972780831, 2301619347565737352323337198025, 14364404985230979516325627850808676, 89648251922012218360273639819287203841], 'abvar_counts_str': '6511 40309601 243001953316 1517173770178025 9468181066860522271 59091163846365088096016 368790255398255719972780831 2301619347565737352323337198025 14364404985230979516325627850808676 89648251922012218360273639819287203841 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.389056851834537, 0.650015196564294], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 82, 'curve_counts': [82, 6456, 492868, 38951748, 3077025522, 243086027286, 19203916018558, 1517108946000708, 119851595362269532, 9468276076835784856], 'curve_counts_str': '82 6456 492868 38951748 3077025522 243086027286 19203916018558 1517108946000708 119851595362269532 9468276076835784856 ', 'curves': ['y^2=57*x^6+64*x^5+41*x^4+60*x^3+57*x^2+78*x+26', 'y^2=77*x^6+23*x^5+36*x^4+x^3+71*x^2+33*x+5', 'y^2=39*x^6+2*x^5+48*x^4+45*x^3+72*x^2+39*x+44', 'y^2=25*x^6+52*x^5+51*x^4+11*x^3+69*x^2+62*x+56', 'y^2=72*x^6+32*x^5+18*x^4+30*x^2+24*x+60', 'y^2=22*x^6+66*x^5+27*x^4+30*x^3+77*x^2+9*x+3', 'y^2=20*x^6+29*x^5+x^4+10*x^3+38*x^2+40*x+70', 'y^2=41*x^6+10*x^5+28*x^4+11*x^3+27*x^2+75*x+36', 'y^2=72*x^6+60*x^5+76*x^4+29*x^3+33*x^2+7*x+35', 'y^2=21*x^6+35*x^5+26*x^4+40*x^3+65*x^2+15*x+16', 'y^2=36*x^6+19*x^5+28*x^4+42*x^3+42*x^2+48*x+53', 'y^2=38*x^6+26*x^5+39*x^4+39*x^3+65*x^2+72*x+17', 'y^2=14*x^6+24*x^5+56*x^4+21*x^3+2*x^2+24*x+64', 'y^2=2*x^6+77*x^5+44*x^4+33*x^3+44*x^2+40*x+9', 'y^2=60*x^6+45*x^5+24*x^4+56*x^3+56*x^2+72*x+54', 'y^2=51*x^6+53*x^5+17*x^4+56*x^3+63*x^2+61*x+71', 'y^2=70*x^6+45*x^5+67*x^4+73*x^3+29*x^2+36*x+36', 'y^2=32*x^6+8*x^5+x^4+4*x^3+17*x^2+57*x+45', 'y^2=33*x^6+68*x^5+77*x^4+59*x^3+17*x^2+74*x+8', 'y^2=50*x^6+38*x^5+72*x^4+4*x^3+44*x^2+3*x+20', 'y^2=23*x^6+7*x^5+63*x^4+42*x^3+63*x^2+36*x+47', 'y^2=37*x^6+68*x^5+60*x^4+7*x^3+30*x^2+27*x+43', 'y^2=71*x^6+63*x^5+71*x^4+63*x^3+77*x+71', 'y^2=30*x^6+70*x^5+72*x^4+36*x^3+36*x^2+67*x+10', 'y^2=21*x^6+x^5+62*x^4+31*x^3+55*x^2+73*x+67', 'y^2=47*x^6+32*x^5+28*x^4+49*x^3+26*x^2+9*x+27', 'y^2=10*x^6+74*x^5+48*x^4+68*x^3+57*x^2+65*x+49', 'y^2=77*x^6+64*x^5+41*x^4+55*x^3+59*x^2+38*x+28', 'y^2=50*x^6+60*x^5+41*x^4+63*x^3+21*x^2+41*x+61', 'y^2=34*x^6+17*x^5+19*x^4+6*x^3+66*x^2+2*x+75', 'y^2=51*x^6+77*x^5+22*x^4+44*x^3+23*x^2+2*x+58', 'y^2=61*x^6+39*x^5+41*x^4+44*x^3+40*x^2+58*x+2', 'y^2=55*x^6+28*x^5+58*x^4+38*x^3+11*x^2+32*x+43', 'y^2=51*x^6+49*x^5+18*x^4+7*x^3+70*x^2+27*x+53', 'y^2=15*x^6+73*x^5+19*x^4+10*x^3+14*x^2+48*x+29', 'y^2=17*x^6+27*x^5+65*x^4+7*x^3+61*x^2+30*x+57', 'y^2=58*x^6+30*x^5+21*x^4+27*x^3+33*x^2+52*x+30', 'y^2=29*x^6+77*x^5+2*x^4+17*x^3+5*x^2+39*x+41', 'y^2=40*x^6+29*x^5+40*x^4+28*x^3+78*x^2+18*x+66', 'y^2=69*x^6+9*x^5+78*x^4+40*x^3+21*x^2+74*x+51', 'y^2=77*x^6+27*x^5+2*x^4+24*x^3+14*x^2+38*x+61', 'y^2=56*x^6+56*x^5+5*x^4+9*x^3+36*x^2+2*x+23', 'y^2=60*x^6+51*x^5+41*x^4+33*x^3+68*x^2+12*x+71', 'y^2=22*x^6+7*x^5+39*x^4+3*x^3+40*x^2+75*x+25', 'y^2=27*x^6+14*x^5+26*x^4+69*x^3+47*x^2+54*x+10', 'y^2=70*x^6+29*x^5+27*x^4+76*x^3+41*x^2+63*x+59', 'y^2=77*x^6+43*x^5+73*x^4+24*x^3+48*x^2+20*x+26', 'y^2=58*x^6+77*x^5+x^4+2*x^3+34*x^2+64*x+65', 'y^2=33*x^6+78*x^5+29*x^4+74*x^3+42*x^2+52*x+46', 'y^2=48*x^6+49*x^5+48*x^4+32*x^3+68*x^2+26*x+7', 'y^2=31*x^6+35*x^5+28*x^4+34*x^3+30*x^2+40*x+27', 'y^2=77*x^6+26*x^5+52*x^4+53*x^3+48*x^2+23*x+1', 'y^2=46*x^6+7*x^5+72*x^4+32*x^3+10*x^2+78*x+12', 'y^2=20*x^6+72*x^5+64*x^4+66*x^3+37*x^2+28*x+39', 'y^2=34*x^6+21*x^5+5*x^4+66*x^3+30*x^2+28*x+52', 'y^2=57*x^6+72*x^5+31*x^3+42*x^2+76*x+64', 'y^2=52*x^6+67*x^5+x^4+41*x^3+25*x^2+25*x+54', 'y^2=67*x^6+22*x^5+52*x^4+74*x^3+9*x^2+67*x+39', 'y^2=28*x^6+52*x^5+28*x^4+55*x^3+21*x^2+59*x+26', 'y^2=45*x^6+24*x^5+29*x^4+70*x^3+53*x^2+12*x+13', 'y^2=20*x^6+23*x^5+31*x^4+72*x^3+45*x^2+35*x+4', 'y^2=15*x^6+33*x^5+30*x^4+29*x^3+65*x^2+17*x+30', 'y^2=15*x^6+70*x^5+23*x^3+31*x^2+6*x+62', 'y^2=78*x^6+25*x^5+44*x^4+50*x^3+31*x^2+73*x+22', 'y^2=58*x^6+65*x^5+7*x^4+8*x^3+26*x^2+72*x+51', 'y^2=50*x^6+42*x^5+46*x^4+59*x^3+x^2+46*x+15', 'y^2=34*x^6+28*x^5+23*x^4+69*x^3+73*x^2+29*x+77', 'y^2=2*x^6+14*x^5+49*x^3+44*x^2+70*x+78', 'y^2=33*x^6+42*x^5+45*x^4+63*x^3+62*x^2+11*x+78', 'y^2=31*x^6+10*x^5+22*x^4+29*x^3+5*x^2+65*x+40', 'y^2=46*x^6+13*x^5+54*x^4+28*x^3+75*x^2+11*x+53', 'y^2=35*x^6+57*x^5+11*x^4+21*x^3+52*x^2+22*x+78', 'y^2=29*x^6+11*x^5+46*x^4+56*x^3+43*x^2+51*x+73', 'y^2=78*x^6+68*x^5+2*x^4+68*x^3+14*x^2+68*x+28', 'y^2=70*x^6+53*x^5+61*x^4+13*x^3+36*x^2+36*x+44', 'y^2=13*x^6+36*x^5+37*x^4+28*x^3+34*x^2+71*x+42', 'y^2=56*x^6+77*x^5+67*x^4+63*x^2+36*x+47', 'y^2=44*x^6+58*x^5+13*x^4+74*x^3+28*x^2+6*x+38', 'y^2=21*x^6+x^4+15*x^3+20*x^2+73*x+62', 'y^2=28*x^6+41*x^5+8*x^4+22*x^3+31*x^2+42*x+8', 'y^2=16*x^6+67*x^5+73*x^4+59*x^3+42*x^2+6*x+57', 'y^2=24*x^6+29*x^5+3*x^4+57*x^3+59*x^2+78*x+47', 'y^2=9*x^6+14*x^5+25*x^4+35*x^3+56*x^2+4*x+62', 'y^2=41*x^6+73*x^5+65*x^4+46*x^3+45*x^2+20*x+16', 'y^2=52*x^6+74*x^5+65*x^4+51*x^3+45*x^2+58*x+13', 'y^2=15*x^6+19*x^5+32*x^4+23*x^3+42*x^2+43', 'y^2=3*x^6+7*x^5+11*x^4+44*x^3+49*x^2+53*x+74', 'y^2=66*x^6+18*x^5+62*x^4+71*x^3+36*x^2+22*x+67', 'y^2=x^6+20*x^5+37*x^4+19*x^3+56*x^2+19*x+10', 'y^2=53*x^6+25*x^5+20*x^4+21*x^3+55*x^2+65*x+32', 'y^2=42*x^6+25*x^5+25*x^4+18*x^3+38*x^2+70*x+13', 'y^2=67*x^6+33*x^5+29*x^4+55*x^3+13*x^2+63*x+60', 'y^2=51*x^6+2*x^5+57*x^4+55*x^3+34*x+17', 'y^2=17*x^6+67*x^5+11*x^4+59*x^3+71*x^2+73*x+6', 'y^2=43*x^6+33*x^5+15*x^4+25*x^3+58*x^2+47*x+19', 'y^2=51*x^6+74*x^5+56*x^4+68*x^3+57*x^2+37*x+73'], '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': 3, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.4481600.6'], 'geometric_splitting_field': '4.0.4481600.6', 'geometric_splitting_polynomials': [[4471, -122, 133, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 96, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 96, 'label': '2.79.c_ef', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.4481600.6'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 109, 158, 6241], 'poly_str': '1 2 109 158 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 2, -49], 'simple_distinct': ['2.79.c_ef'], 'simple_factors': ['2.79.c_efA'], 'simple_multiplicities': [1], 'singular_primes': ['5,3*F^2-2*F+V'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.4481600.6', 'splitting_polynomials': [[4471, -122, 133, -2, 1]], 'twist_count': 2, 'twists': [['2.79.ac_ef', '2.6241.ig_bjct', 2]], 'weak_equivalence_count': 3, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 70025, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,3*F^2-2*F+V']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '2.79.c_ef', 'extension_degree': 1, 'extension_label': '2.79.c_ef', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.4481600.6', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.c_ef', 'galois_group': '4T3', 'places': [['52', '1', '0', '0'], ['27', '1', '0', '0'], ['17', '1', '0', '0'], ['60', '1', '0', '0']]}
