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av_fq_isog • Show schema
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{'abvar_count': 2040, 'abvar_counts': [2040, 3623040, 6312682080, 11692057305600, 21609061630708200, 39958367328145520640, 73885794707723251999560, 136614105281092605036595200, 252599304669235763762626259040, 467056166475965381177538290947200], 'abvar_counts_str': '2040 3623040 6312682080 11692057305600 21609061630708200 39958367328145520640 73885794707723251999560 136614105281092605036595200 252599304669235763762626259040 467056166475965381177538290947200 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.401344489542959, 0.67921577841853], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 47, 'curve_counts': [47, 1957, 79400, 3419929, 146991977, 6321163174, 271820220131, 11688207083761, 502592554426520, 21611482253064757], 'curve_counts_str': '47 1957 79400 3419929 146991977 6321163174 271820220131 11688207083761 502592554426520 21611482253064757 ', 'curves': ['y^2=41*x^6+x^5+7*x^4+10*x^3+11*x^2+39*x+21', 'y^2=33*x^6+32*x^5+28*x^4+12*x^3+6*x^2+14*x+28', 'y^2=18*x^6+24*x^5+2*x^3+6*x^2+23*x+18', 'y^2=15*x^6+29*x^5+26*x^4+34*x^3+36*x^2+39*x+16', 'y^2=12*x^6+4*x^5+24*x^4+26*x^3+42*x^2+5*x+24', 'y^2=11*x^6+30*x^5+22*x^4+24*x^3+36*x^2+18*x+12', 'y^2=36*x^6+11*x^5+39*x^4+25*x^3+37*x^2+37*x+9', 'y^2=2*x^6+20*x^5+42*x^4+26*x^3+34*x^2+34*x+23', 'y^2=11*x^6+32*x^5+27*x^4+18*x^3+12*x^2+14*x+28', 'y^2=25*x^6+36*x^5+18*x^4+10*x^3+5*x^2+2*x+41', 'y^2=36*x^6+10*x^5+23*x^4+2*x^3+3*x^2+19*x+20', 'y^2=11*x^6+5*x^5+22*x^4+10*x^3+17*x^2+37*x+28', 'y^2=11*x^6+12*x^5+25*x^4+34*x^3+39*x^2+15*x+6', 'y^2=30*x^6+2*x^5+38*x^4+17*x^3+42*x^2+39*x+18', 'y^2=20*x^6+8*x^5+10*x^4+19*x^3+17*x^2+28*x+19', 'y^2=33*x^6+4*x^5+4*x^4+12*x^3+36*x^2+5*x+41', 'y^2=28*x^6+20*x^5+28*x^4+19*x^3+11*x^2+33*x+14', 'y^2=5*x^6+39*x^5+14*x^4+31*x^3+34*x^2+26*x+14', 'y^2=28*x^6+9*x^5+36*x^4+22*x^3+4*x^2+21*x+30', 'y^2=24*x^6+23*x^5+14*x^4+2*x^3+11*x^2+18*x+6', 'y^2=39*x^6+17*x^4+12*x^3+17*x^2+32*x+39', 'y^2=28*x^6+9*x^5+4*x^4+35*x^3+30*x^2+2*x+8', 'y^2=35*x^6+39*x^5+15*x^4+24*x^3+25*x^2+39*x+38', 'y^2=3*x^6+39*x^5+5*x^4+17*x^3+23*x^2+22*x+5', 'y^2=8*x^6+27*x^5+14*x^4+37*x^3+10*x^2+19*x+8', 'y^2=16*x^6+35*x^5+17*x^4+30*x^3+14*x^2+16*x+26', 'y^2=31*x^6+7*x^5+34*x^4+29*x^3+18*x^2+34*x+28', 'y^2=21*x^6+14*x^5+41*x^4+35*x^3+38*x^2+41*x+36', 'y^2=23*x^6+41*x^4+30*x^3+7*x^2+32*x+30', 'y^2=41*x^6+23*x^5+17*x^4+39*x^3+30*x^2+26*x', 'y^2=x^6+37*x^5+18*x^4+16*x^3+32*x^2+7*x+21', 'y^2=10*x^6+31*x^5+30*x^4+14*x^3+35*x^2+17*x+25', 'y^2=31*x^6+10*x^5+15*x^4+39*x^3+2*x^2+33*x+33', 'y^2=17*x^6+14*x^5+3*x^4+3*x^3+37*x^2+38', 'y^2=21*x^6+25*x^5+9*x^4+34*x^3+9*x^2+13', 'y^2=38*x^6+39*x^5+25*x^4+32*x^2+27*x+11', 'y^2=7*x^6+32*x^5+8*x^4+12*x^3+8*x^2+18*x+37', 'y^2=10*x^6+15*x^5+12*x^3+40*x^2+42*x+32', 'y^2=6*x^6+15*x^5+x^4+37*x^3+22*x^2+36*x+12', 'y^2=28*x^6+38*x^5+23*x^4+29*x^3+2*x^2+34*x+4', 'y^2=5*x^6+11*x^5+42*x^4+25*x^3+13*x^2+12*x+24', 'y^2=11*x^6+14*x^5+14*x^4+39*x^3+x^2+6*x+42', 'y^2=x^5+20*x^4+35*x^3+17*x^2+4*x+23', 'y^2=3*x^6+5*x^5+29*x^4+14*x^3+16*x^2+21*x+8', 'y^2=7*x^6+14*x^5+27*x^4+40*x^3+10*x^2+36*x+1', 'y^2=40*x^6+32*x^5+40*x^4+38*x^3+32*x^2+17*x+18', 'y^2=21*x^5+x^4+6*x^3+15*x^2+35*x+18', 'y^2=21*x^6+30*x^5+23*x^4+9*x^3+7*x^2+37*x+15', 'y^2=7*x^6+11*x^5+22*x^4+21*x^3+8*x^2+19*x+34', 'y^2=21*x^6+42*x^5+15*x^4+34*x^3+42*x^2+11*x', 'y^2=30*x^6+41*x^5+20*x^4+42*x^3+8*x^2+11*x', 'y^2=31*x^6+14*x^5+40*x^4+26*x^3+42*x^2+17*x+2', 'y^2=22*x^6+36*x^5+19*x^4+36*x^3+2*x^2+8*x+36', 'y^2=33*x^6+12*x^5+21*x^4+42*x^3+40*x^2+24*x+22', 'y^2=35*x^6+37*x^5+39*x^4+11*x^3+34*x^2+17*x+29', 'y^2=35*x^6+22*x^5+3*x^4+27*x^3+36*x^2+26*x+13', 'y^2=30*x^6+14*x^5+28*x^4+35*x^3+28*x^2+32*x+14', 'y^2=21*x^6+7*x^5+28*x^4+15*x^3+2*x^2+29*x+12', 'y^2=22*x^6+15*x^5+29*x^4+x^3+16*x^2+23*x+15', 'y^2=19*x^6+25*x^5+22*x^4+28*x^3+31*x+34', 'y^2=2*x^6+19*x^5+30*x^4+31*x^3+8*x^2+27*x+18', 'y^2=41*x^6+42*x^5+5*x^4+42*x^3+16*x^2+35*x+40', 'y^2=6*x^6+6*x^5+10*x^4+25*x^3+20*x^2+31*x+10', 'y^2=36*x^6+8*x^5+21*x^4+37*x^3+29*x^2+14*x+17', 'y^2=18*x^6+31*x^5+10*x^3+9*x^2+3*x+12', 'y^2=20*x^6+40*x^5+27*x^4+16*x^3+24*x^2+42*x+1', 'y^2=20*x^6+26*x^5+40*x^4+22*x^3+19*x^2+x+29', 'y^2=33*x^6+20*x^5+42*x^4+25*x^3+22*x^2+2*x+11', 'y^2=4*x^6+33*x^5+8*x^4+9*x^3+42*x^2+5*x+27', 'y^2=25*x^6+40*x^5+27*x^4+x^3+23*x^2+18*x+29', 'y^2=8*x^6+26*x^5+21*x^4+27*x^3+4*x^2+8*x+13', 'y^2=25*x^6+18*x^5+33*x^4+14*x^3+3*x^2+41*x+25', 'y^2=23*x^6+24*x^5+41*x^4+42*x^3+31*x^2+23*x+8', 'y^2=35*x^6+23*x^5+x^4+7*x^3+20*x^2+25*x+35', 'y^2=35*x^6+8*x^5+12*x^4+36*x^3+10*x^2+26*x+30', 'y^2=6*x^6+30*x^5+22*x^4+8*x^3+25*x^2+32*x+39', 'y^2=22*x^6+41*x^5+24*x^4+42*x^3+29*x^2+22*x+6', 'y^2=10*x^6+12*x^5+37*x^4+16*x^3+8*x^2+17*x+6', 'y^2=26*x^6+27*x^5+4*x^4+26*x^3+27*x^2+15*x+15', 'y^2=31*x^6+x^5+14*x^4+39*x^3+8*x^2+19*x+1'], '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': 8, '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': ['2.0.39.1', '2.0.123.1'], 'geometric_splitting_field': '4.0.2556801.2', 'geometric_splitting_polynomials': [[441, 0, 81, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 80, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 80, 'label': '2.43.d_cg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.39.1', '2.0.123.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 3, 58, 129, 1849], 'poly_str': '1 3 58 129 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, 3, -28], 'simple_distinct': ['1.43.ae', '1.43.h'], 'simple_factors': ['1.43.aeA', '1.43.hA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F-3', '11,-9*V-23', '11,21*F-7*V+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2556801.2', 'splitting_polynomials': [[441, 0, 81, 0, 1]], 'twist_count': 4, 'twists': [['2.43.al_ek', '2.1849.ed_jhw', 2], ['2.43.ad_cg', '2.1849.ed_jhw', 2], ['2.43.l_ek', '2.1849.ed_jhw', 2]], 'weak_equivalence_count': 8, 'zfv_index': 242, 'zfv_index_factorization': [[2, 1], [11, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 19188, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,-F-3', '11,-9*V-23', '11,21*F-7*V+3']}
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av_fq_endalg_factors • Show schema
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id: 33265
{'base_label': '2.43.d_cg', 'extension_degree': 1, 'extension_label': '1.43.ae', 'multiplicity': 1}
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id: 33266
{'base_label': '2.43.d_cg', 'extension_degree': 1, 'extension_label': '1.43.h', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.39.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ae', 'galois_group': '2T1', 'places': [['20', '1'], ['22', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.123.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.h', 'galois_group': '2T1', 'places': [['3', '1'], ['39', '1']]}
