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av_fq_isog • Show schema
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{'abvar_count': 3836, 'abvar_counts': [3836, 8086288, 21995842652, 62297797796864, 174889216177441276, 491257205697188997136, 1379945846849727793370588, 3876269110337736695220420608, 10888440075396304720525741163516, 30585627087568032121634238316515088], 'abvar_counts_str': '3836 8086288 21995842652 62297797796864 174889216177441276 491257205697188997136 1379945846849727793370588 3876269110337736695220420608 10888440075396304720525741163516 30585627087568032121634238316515088 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.615582156295107, 0.766930616479133], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 70, 'curve_counts': [70, 2878, 147742, 7895310, 418199670, 22164284494, 1174710786382, 62259691378590, 3299763686843302, 174887469203164638], 'curve_counts_str': '70 2878 147742 7895310 418199670 22164284494 1174710786382 62259691378590 3299763686843302 174887469203164638 ', 'curves': ['y^2=46*x^6+44*x^5+28*x^4+14*x^3+31*x^2+11*x+27', 'y^2=13*x^6+13*x^5+4*x^4+2*x^3+49*x^2+19*x+17', 'y^2=40*x^6+42*x^5+34*x^4+3*x^3+24*x^2+19*x+34', 'y^2=3*x^6+17*x^5+36*x^4+11*x^3+48*x^2+43*x+25', 'y^2=15*x^6+24*x^5+32*x^4+39*x^3+51*x^2+52*x+36', 'y^2=52*x^6+25*x^5+45*x^4+41*x^3+40*x^2+14*x+2', 'y^2=x^6+4*x^5+3*x^4+47*x^3+22*x^2+47*x+6', 'y^2=40*x^6+19*x^5+15*x^4+4*x^3+42*x^2+26*x+7', 'y^2=44*x^6+23*x^5+28*x^4+21*x^3+36*x^2+29*x+32', 'y^2=15*x^6+18*x^5+48*x^4+13*x^3+15*x^2+42*x+11', 'y^2=23*x^6+33*x^5+6*x^4+19*x^3+31*x^2+46*x+39', 'y^2=13*x^6+38*x^5+15*x^4+9*x^3+14*x^2+10*x+1', 'y^2=10*x^6+19*x^4+9*x^3+40*x^2+47', 'y^2=13*x^6+52*x^5+30*x^4+7*x^3+35*x^2+37*x+32', 'y^2=6*x^6+47*x^5+44*x^4+37*x^3+37*x^2+3*x+11', 'y^2=16*x^6+13*x^5+23*x^4+17*x^3+41*x^2+43*x+47', 'y^2=25*x^6+18*x^5+13*x^4+9*x^2+35*x', 'y^2=47*x^6+14*x^5+35*x^4+44*x^3+13*x^2+18*x+35', 'y^2=22*x^6+37*x^5+50*x^4+25*x^3+40*x^2+47*x+40', 'y^2=3*x^6+9*x^5+14*x^4+45*x^3+43*x^2+16*x+39', 'y^2=42*x^6+28*x^5+13*x^4+10*x^3+14*x^2+10*x+11', 'y^2=28*x^6+27*x^5+45*x^4+13*x^3+4*x^2+28*x+11', 'y^2=35*x^6+13*x^5+23*x^4+9*x^3+29*x^2+51*x+20', 'y^2=49*x^6+50*x^5+43*x^4+38*x^3+2*x^2+35*x+20', 'y^2=12*x^6+11*x^5+28*x^4+46*x^3+26*x^2+37*x+13', 'y^2=16*x^6+29*x^5+51*x^4+50*x^3+38*x^2+22*x+20', 'y^2=29*x^6+47*x^5+38*x^4+34*x^3+x^2+7*x+44', 'y^2=38*x^6+11*x^5+4*x^4+24*x^3+37*x^2+23*x+37', 'y^2=2*x^6+27*x^5+18*x^4+28*x^3+35*x^2+19*x+5', 'y^2=47*x^6+14*x^5+4*x^4+40*x^3+20*x^2+17*x+34', 'y^2=43*x^6+26*x^5+41*x^4+11*x^3+3*x^2+23*x+49', 'y^2=4*x^6+46*x^5+29*x^4+50*x^3+28*x^2+26*x+47', 'y^2=8*x^6+51*x^5+7*x^4+26*x^3+31*x^2+45*x+6', 'y^2=40*x^6+52*x^5+30*x^4+7*x^3+11*x^2+40*x+3', 'y^2=7*x^6+7*x^5+x^4+43*x^3+36*x^2+21*x+45', 'y^2=43*x^6+39*x^5+49*x^4+19*x^3+29*x^2+34*x+9', 'y^2=47*x^6+5*x^5+29*x^4+51*x^3+51*x^2+27*x+49', 'y^2=6*x^6+19*x^5+24*x^4+50*x^3+22*x^2+15*x+10', 'y^2=13*x^6+46*x^5+20*x^4+2*x^3+49*x^2+31*x+22', 'y^2=13*x^6+21*x^5+22*x^4+52*x^3+31*x^2+33*x+30', 'y^2=38*x^6+35*x^5+20*x^4+5*x^3+36*x^2+19*x+8', 'y^2=20*x^6+45*x^4+12*x^3+33*x^2+33*x+15', 'y^2=32*x^6+34*x^5+49*x^4+39*x^3+44*x^2+10*x+14', 'y^2=49*x^6+41*x^5+44*x^4+23*x^3+43*x^2+7*x+33', 'y^2=47*x^6+14*x^5+16*x^4+25*x^3+33*x^2+9*x+11', 'y^2=2*x^6+10*x^5+31*x^4+33*x^3+38*x^2+20*x+29', 'y^2=42*x^6+36*x^5+37*x^4+35*x^3+15*x^2+8*x+32', 'y^2=40*x^6+45*x^5+28*x^4+15*x^3+34*x^2+5*x+20', 'y^2=42*x^6+27*x^5+25*x^4+16*x^3+34*x^2+14', 'y^2=33*x^6+51*x^5+15*x^4+30*x^3+33*x^2+30*x+43', 'y^2=14*x^6+33*x^5+34*x^4+6*x^3+10*x^2+21*x+40', 'y^2=47*x^6+28*x^5+43*x^4+18*x^3+3*x^2+50*x+10', 'y^2=44*x^6+18*x^5+11*x^4+33*x^3+8*x^2+38', 'y^2=45*x^6+43*x^5+32*x^4+50*x^3+30*x^2+38*x+29', 'y^2=15*x^6+x^5+22*x^4+30*x^3+17*x^2+48*x+44', 'y^2=35*x^6+47*x^5+42*x^4+16*x^3+6*x^2+17*x+13', 'y^2=46*x^6+37*x^5+22*x^4+9*x^3+36*x^2+40*x+9', 'y^2=9*x^6+27*x^5+33*x^4+52*x^3+9*x^2+31*x+16', 'y^2=x^6+25*x^5+40*x^4+27*x^3+12*x^2+13*x+1', 'y^2=11*x^6+14*x^5+47*x^4+42*x^2+41*x+27', 'y^2=33*x^6+36*x^5+3*x^4+3*x^3+40*x^2+23*x+16', 'y^2=46*x^6+52*x^5+40*x^4+25*x^3+12*x^2+16*x+37', 'y^2=6*x^6+28*x^5+50*x^4+41*x^3+36*x^2+17*x', 'y^2=14*x^6+47*x^5+28*x^4+50*x^3+33*x^2+15*x+28', 'y^2=48*x^6+9*x^5+16*x^4+7*x^3+20*x^2+44*x+39', 'y^2=29*x^6+13*x^5+38*x^4+9*x^3+40*x^2+7*x+15'], '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': 5, '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': ['4.0.70208.1'], 'geometric_splitting_field': '4.0.70208.1', 'geometric_splitting_polynomials': [[73, -18, 19, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 66, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 66, 'label': '2.53.q_gg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.70208.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 6], [1, 17, 1, 6]], 'poly': [1, 16, 162, 848, 2809], 'poly_str': '1 16 162 848 2809 ', 'primitive_models': [], 'principal_polarization_count': 66, 'q': 53, 'real_poly': [1, 16, 56], 'simple_distinct': ['2.53.q_gg'], 'simple_factors': ['2.53.q_ggA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+7*F+2*V+30'], 'size': 84, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.70208.1', 'splitting_polynomials': [[73, -18, 19, -2, 1]], 'twist_count': 2, 'twists': [['2.53.aq_gg', '2.2809.cq_gzu', 2]], 'weak_equivalence_count': 5, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 36, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 17552, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+7*F+2*V+30']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.53.q_gg', 'extension_degree': 1, 'extension_label': '2.53.q_gg', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.70208.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.53.q_gg', 'galois_group': '4T3', 'places': [['17', '14', '40', '0'], ['35', '41', '13', '0']]}
