-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 2908, 'abvar_counts': [2908, 5106448, 10678737244, 23818761160704, 52603098234210268, 116190759841560048400, 256666975383461115121372, 566977260699640518134759424, 1252453081391882556645710733916, 2766668713539810079874144528723728], 'abvar_counts_str': '2908 5106448 10678737244 23818761160704 52603098234210268 116190759841560048400 256666975383461115121372 566977260699640518134759424 1252453081391882556645710733916 2766668713539810079874144528723728 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.574301399454533, 0.722676085774924], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 60, 'curve_counts': [60, 2310, 102852, 4881214, 229362300, 10779148230, 506623099140, 23811281966974, 1119130531688124, 52599132265820550], 'curve_counts_str': '60 2310 102852 4881214 229362300 10779148230 506623099140 23811281966974 1119130531688124 52599132265820550 ', 'curves': ['y^2=32*x^6+18*x^5+15*x^4+17*x^3+31*x^2+2*x+8', 'y^2=8*x^6+31*x^5+37*x^4+7*x^3+31*x^2+12*x+17', 'y^2=9*x^6+45*x^5+34*x^4+8*x^3+25*x^2+44*x+44', 'y^2=7*x^6+42*x^5+4*x^4+40*x^3+7*x^2+15*x', 'y^2=42*x^6+19*x^5+19*x^4+28*x^3+32*x^2+46*x+22', 'y^2=x^6+22*x^5+32*x^4+13*x^3+18*x^2+44*x+25', 'y^2=43*x^6+26*x^4+3*x^3+22*x^2+14*x+44', 'y^2=39*x^6+29*x^5+34*x^4+6*x^3+14*x^2+43*x+3', 'y^2=37*x^6+9*x^5+9*x^4+44*x^3+40*x^2+45*x+40', 'y^2=30*x^6+31*x^5+7*x^4+14*x^3+40*x^2+37*x+27', 'y^2=10*x^6+16*x^5+25*x^4+42*x^3+27*x^2+4*x+38', 'y^2=x^6+35*x^5+44*x^4+44*x^3+29*x^2+25*x+8', 'y^2=34*x^6+8*x^5+32*x^4+29*x^3+3*x^2+46*x+42', 'y^2=4*x^6+40*x^5+29*x^4+44*x^3+25*x^2+28*x+4', 'y^2=14*x^6+15*x^5+40*x^4+44*x^3+45*x^2+4*x+33', 'y^2=28*x^6+18*x^5+20*x^4+15*x^3+9*x^2+13*x+17', 'y^2=46*x^6+34*x^5+2*x^4+43*x^3+12*x^2+36*x+33', 'y^2=32*x^6+32*x^5+17*x^4+37*x^3+22*x^2+16*x+21', 'y^2=8*x^6+6*x^5+39*x^4+35*x^3+25*x^2+31*x+1', 'y^2=7*x^5+34*x^4+16*x^3+13*x^2+2*x+28', 'y^2=12*x^6+2*x^5+16*x^4+26*x^3+16*x^2+44*x+33', 'y^2=22*x^6+14*x^5+9*x^4+5*x^3+7*x^2+8*x+14', 'y^2=21*x^6+43*x^5+11*x^4+30*x^3+5*x^2+43*x+38', 'y^2=8*x^6+3*x^5+5*x^4+38*x^3+43*x^2+36*x+45', 'y^2=22*x^6+9*x^5+8*x^4+34*x^3+19*x^2+25*x+17', 'y^2=4*x^6+28*x^5+2*x^4+x^3+18*x^2+20*x+32', 'y^2=12*x^6+15*x^5+6*x^4+3*x^3+31*x^2+17*x+34', 'y^2=27*x^6+14*x^5+40*x^4+11*x^3+8*x^2+41*x+7', 'y^2=25*x^6+16*x^5+16*x^4+4*x^3+42*x^2+25*x+29', 'y^2=38*x^6+29*x^5+14*x^4+12*x^3+36*x^2+11*x+1', 'y^2=x^6+39*x^5+4*x^4+34*x^3+40*x^2+3*x+16', 'y^2=x^6+20*x^5+33*x^4+3*x^3+35*x^2+44*x+7', 'y^2=7*x^6+34*x^5+34*x^4+8*x^3+32*x^2+38*x+14', 'y^2=21*x^6+27*x^5+20*x^4+20*x^3+27*x^2+3*x+12', 'y^2=41*x^6+7*x^5+22*x^4+34*x^3+28*x^2+6*x+27', 'y^2=29*x^6+9*x^5+23*x^4+23*x^3+19*x^2+40*x+12', 'y^2=25*x^6+46*x^5+42*x^4+45*x^3+37*x^2+45*x+9', 'y^2=7*x^6+33*x^5+26*x^4+38*x^3+40*x^2+30*x+18', 'y^2=2*x^6+13*x^5+25*x^4+43*x^3+8*x^2+4*x+34', 'y^2=12*x^6+46*x^5+17*x^4+27*x^3+43*x^2+26*x+6', 'y^2=5*x^6+33*x^5+44*x^4+24*x^3+35*x^2+16*x+1', 'y^2=16*x^6+20*x^5+30*x^4+16*x^3+13*x^2+5*x+41', 'y^2=25*x^6+2*x^5+14*x^4+5*x^3+x^2+39*x+15', 'y^2=2*x^6+36*x^5+20*x^4+45*x^3+43*x^2+35*x+41', 'y^2=4*x^6+15*x^5+16*x^4+21*x^3+4*x^2+4*x+37', 'y^2=32*x^6+4*x^5+20*x^4+20*x^3+46*x^2+42*x+44', 'y^2=x^6+17*x^5+44*x^4+33*x^3+28*x^2+23*x+27', 'y^2=12*x^6+30*x^5+11*x^4+40*x^3+36*x^2+46*x+38', 'y^2=21*x^6+28*x^5+43*x^4+38*x^3+28*x^2+41*x+17', 'y^2=36*x^6+4*x^5+24*x^4+20*x^3+31*x^2+15*x+25', 'y^2=12*x^6+6*x^5+17*x^4+34*x^3+45*x^2+39*x+1', 'y^2=10*x^6+26*x^5+27*x^3+39*x^2+15*x+42', 'y^2=19*x^6+4*x^5+17*x^4+x^3+13*x^2+5*x+25', 'y^2=44*x^6+36*x^5+31*x^4+43*x^3+14*x^2+12*x', 'y^2=11*x^6+39*x^5+13*x^4+32*x^3+3*x^2+2*x+42', 'y^2=12*x^6+12*x^5+38*x^4+36*x^3+11*x^2+32*x+39', 'y^2=4*x^6+43*x^5+29*x^4+37*x^3+10*x^2+34*x+32', 'y^2=42*x^6+22*x^5+34*x^4+8*x^3+3*x^2+9*x+33', 'y^2=46*x^6+17*x^5+27*x^4+31*x^3+11*x^2+46*x+44', 'y^2=33*x^6+6*x^5+5*x^4+42*x^3+28*x^2+42*x+1', 'y^2=9*x^6+37*x^5+12*x^4+41*x^3+39*x^2+22*x+18', 'y^2=36*x^6+3*x^5+13*x^4+x^3+44*x^2+15*x+2', 'y^2=46*x^6+27*x^5+30*x^4+33*x^3+10*x^2+17*x+13', 'y^2=43*x^6+11*x^5+8*x^4+13*x^3+43*x^2+45*x+17', 'y^2=11*x^6+12*x^4+44*x^3+36*x^2+20*x+31', 'y^2=35*x^6+17*x^5+32*x^4+25*x^3+11*x^2+4*x+33', 'y^2=34*x^6+31*x^5+28*x^4+19*x^3+12*x^2+27*x+11', 'y^2=29*x^6+14*x^5+38*x^4+20*x^3+18*x^2+38*x+43', 'y^2=44*x^6+3*x^5+6*x^4+14*x^3+45*x^2+44*x+27', 'y^2=36*x^6+8*x^5+15*x^4+37*x^3+4*x^2+14*x+4', 'y^2=12*x^6+39*x^5+38*x^4+46*x^3+x^2+23*x+12', 'y^2=27*x^6+39*x^5+7*x^4+43*x^3+4*x^2+20*x+14', 'y^2=36*x^6+34*x^5+44*x^3+11*x^2+32*x+35', 'y^2=27*x^6+14*x^5+6*x^4+36*x^3+12*x^2+17*x+23', 'y^2=25*x^6+44*x^5+19*x^4+7*x^3+2*x^2+4*x+8', 'y^2=x^6+11*x^5+29*x^4+32*x^3+41*x^2+17*x+32', 'y^2=10*x^6+40*x^5+34*x^4+12*x^3+41*x^2+42*x+15', 'y^2=5*x^6+21*x^5+29*x^4+3*x^3+15*x^2+23*x+24', 'y^2=18*x^6+29*x^5+14*x^4+14*x^3+3*x^2+35*x+36', 'y^2=41*x^6+36*x^5+29*x^3+x^2+18*x', 'y^2=17*x^6+42*x^5+34*x^4+15*x^3+19*x^2+31*x+32', 'y^2=6*x^6+18*x^5+24*x^4+10*x^3+39*x^2+31*x+22', 'y^2=18*x^6+22*x^5+27*x^4+13*x^3+x^2+13*x+14', 'y^2=7*x^6+23*x^5+44*x^4+32*x^3+31*x^2+32*x+18'], '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': 4, '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': ['4.0.313344.1'], 'geometric_splitting_field': '4.0.313344.1', 'geometric_splitting_polynomials': [[306, 0, 36, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 84, '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': 84, 'label': '2.47.m_es', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.313344.1'], 'p': 47, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 12, 122, 564, 2209], 'poly_str': '1 12 122 564 2209 ', 'primitive_models': [], 'q': 47, 'real_poly': [1, 12, 28], 'simple_distinct': ['2.47.m_es'], 'simple_factors': ['2.47.m_esA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-2*F-V-11'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.313344.1', 'splitting_polynomials': [[306, 0, 36, 0, 1]], 'twist_count': 2, 'twists': [['2.47.am_es', '2.2209.dw_inu', 2]], 'weak_equivalence_count': 4, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 19584, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-2*F-V-11']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '2.47.m_es', 'extension_degree': 1, 'extension_label': '2.47.m_es', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.313344.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.47.m_es', 'galois_group': '4T3', 'places': [['14', '1', '0', '0'], ['35', '1', '0', '0'], ['33', '1', '0', '0'], ['12', '1', '0', '0']]}
