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av_fq_isog • Show schema
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{'abvar_count': 6800, 'abvar_counts': [6800, 40800000, 242565819200, 1516419964800000, 9468613872647270000, 59091717305343628800000, 368789967012897049543617200, 2301619099962958838124940800000, 14364405104746608461869231107348800, 89648251979283333192646905505500000000], 'abvar_counts_str': '6800 40800000 242565819200 1516419964800000 9468613872647270000 59091717305343628800000 368789967012897049543617200 2301619099962958838124940800000 14364405104746608461869231107348800 89648251979283333192646905505500000000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.590756304636661], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 85, 'curve_counts': [85, 6533, 491980, 38932393, 3077166175, 243088304078, 19203901001545, 1517108782793713, 119851596359466340, 9468276082884522173], 'curve_counts_str': '85 6533 491980 38932393 3077166175 243088304078 19203901001545 1517108782793713 119851596359466340 9468276082884522173 ', 'curves': ['y^2=51*x^6+37*x^5+73*x^4+54*x^3+56*x^2+59*x+50', 'y^2=29*x^6+78*x^5+6*x^4+25*x^3+38*x^2+74*x+18', 'y^2=25*x^6+77*x^5+17*x^4+41*x^3+55*x^2+11*x+44', 'y^2=28*x^6+29*x^5+27*x^4+75*x^3+2*x^2+45*x+3', 'y^2=77*x^6+67*x^5+21*x^4+33*x^3+26*x^2+9*x+44', 'y^2=78*x^6+72*x^5+60*x^4+77*x^3+10*x^2+42*x+1', 'y^2=33*x^6+77*x^5+61*x^4+12*x^3+63*x^2+70*x+12', 'y^2=30*x^6+66*x^5+70*x^4+49*x^3+78*x^2+x+26', 'y^2=5*x^6+32*x^5+70*x^4+14*x^3+63*x^2+48*x+66', 'y^2=49*x^6+34*x^5+13*x^4+34*x^3+10*x^2+23*x+19', 'y^2=70*x^5+13*x^4+12*x^3+2*x^2+40*x+30', 'y^2=4*x^6+40*x^5+16*x^4+28*x^3+61*x^2+20*x+65', 'y^2=44*x^6+25*x^5+24*x^4+57*x^3+64*x^2+28*x', 'y^2=40*x^6+51*x^5+33*x^4+45*x^3+70*x^2+18*x+68', 'y^2=72*x^6+58*x^5+50*x^4+7*x^3+16*x^2+35*x+59', 'y^2=45*x^6+54*x^5+43*x^4+36*x^3+5*x^2+43*x+10', 'y^2=73*x^6+65*x^5+40*x^4+20*x^3+17*x^2+30*x+60', 'y^2=69*x^6+73*x^5+15*x^4+37*x^3+60*x^2+69*x+69', 'y^2=12*x^6+13*x^5+59*x^4+12*x^3+7*x^2+4*x+62', 'y^2=6*x^6+40*x^5+38*x^4+67*x^3+40*x^2+64*x+15', 'y^2=10*x^6+34*x^5+43*x^4+78*x^3+30*x^2+18*x+19', 'y^2=48*x^6+4*x^5+31*x^4+37*x^3+20*x^2+17*x+71', 'y^2=70*x^6+56*x^5+21*x^4+42*x^3+59*x^2+12*x+18', 'y^2=63*x^6+78*x^5+66*x^4+31*x^3+36*x^2+13', 'y^2=61*x^6+63*x^5+18*x^4+46*x^3+67*x^2+52*x+9', 'y^2=51*x^6+78*x^5+74*x^4+53*x^3+9*x^2+27*x+12', 'y^2=18*x^6+15*x^5+46*x^4+46*x^3+22*x^2+78*x+30', 'y^2=19*x^6+33*x^5+62*x^4+30*x^3+41*x^2+24*x+70', 'y^2=36*x^6+45*x^5+3*x^4+64*x^3+51*x^2+37*x+17', 'y^2=16*x^6+42*x^5+30*x^4+33*x^3+64*x^2+40*x+52', 'y^2=55*x^6+64*x^5+16*x^4+37*x^3+20*x^2+29*x+32', 'y^2=13*x^6+54*x^5+73*x^4+57*x^3+2*x^2+68*x+36', 'y^2=62*x^6+30*x^5+39*x^4+33*x^3+12*x^2+22*x+56', 'y^2=38*x^6+70*x^5+19*x^4+63*x^3+61*x^2+30*x+64', 'y^2=32*x^6+x^5+38*x^3+63*x^2+53*x+55', 'y^2=45*x^6+2*x^5+37*x^4+77*x^3+33*x^2+50*x', 'y^2=22*x^6+36*x^5+42*x^4+14*x^3+69*x^2+16*x+47', 'y^2=71*x^6+24*x^5+32*x^4+51*x^3+33*x^2+9*x+66', 'y^2=72*x^6+14*x^5+47*x^4+6*x^3+36*x^2+74*x+58', 'y^2=13*x^6+63*x^5+56*x^4+37*x^3+37*x^2+71', 'y^2=78*x^6+61*x^5+14*x^4+17*x^3+54*x^2+12*x+54', 'y^2=53*x^6+20*x^5+23*x^4+10*x^3+52*x^2+74*x+71', 'y^2=39*x^6+2*x^5+61*x^4+43*x^3+24*x^2+32*x+34', 'y^2=10*x^6+11*x^5+49*x^4+57*x^3+43*x^2+70*x', 'y^2=57*x^6+36*x^5+34*x^4+45*x^3+52*x^2+15*x+36', 'y^2=47*x^6+68*x^5+41*x^4+59*x^3+60*x^2+18*x+65', 'y^2=72*x^6+14*x^5+33*x^4+37*x^3+17*x^2+57*x+73', 'y^2=x^6+65*x^5+24*x^4+70*x^2+28*x+53', 'y^2=44*x^6+9*x^5+18*x^4+74*x^3+53*x^2+52*x+44', 'y^2=44*x^6+35*x^5+67*x^4+38*x^3+29*x^2+30*x+44', 'y^2=28*x^6+21*x^5+18*x^4+65*x^3+2*x^2+9*x+72', 'y^2=29*x^5+34*x^4+73*x^3+6*x^2+65*x+66', 'y^2=24*x^6+6*x^5+30*x^4+58*x^3+48*x^2+38*x+54', 'y^2=60*x^6+53*x^5+78*x^4+66*x^3+52*x^2+15*x+53', 'y^2=66*x^6+73*x^5+49*x^4+29*x^3+24*x^2+30*x+31', 'y^2=19*x^6+46*x^5+23*x^4+43*x^3+6*x^2+66*x+46', 'y^2=67*x^6+50*x^5+21*x^4+58*x^3+55*x^2+76*x+35', 'y^2=51*x^6+61*x^5+41*x^4+52*x^3+42*x^2+x+45', 'y^2=28*x^6+31*x^5+53*x^4+68*x^3+62*x^2+14*x+77', 'y^2=63*x^6+76*x^5+18*x^4+14*x^3+2*x^2+72*x+25', 'y^2=44*x^6+51*x^5+73*x^4+41*x^3+27*x^2+76*x+52', 'y^2=33*x^6+47*x^5+40*x^4+38*x^3+30*x^2+19*x+59', 'y^2=46*x^6+33*x^5+15*x^4+27*x^3+37*x^2+12*x+32', 'y^2=40*x^5+76*x^4+29*x^3+4*x^2+45*x+17', 'y^2=70*x^6+42*x^5+45*x^4+71*x^3+77*x^2+13*x+11', 'y^2=6*x^5+72*x^4+67*x^3+67*x^2+57*x+20', 'y^2=22*x^6+19*x^5+34*x^4+25*x^3+37*x^2+58*x+38', 'y^2=63*x^6+51*x^5+70*x^4+76*x^3+15*x^2+11*x+52', 'y^2=42*x^6+59*x^5+12*x^4+70*x^3+61*x^2+60*x+43', 'y^2=65*x^6+34*x^5+x^4+48*x^3+56*x+64', 'y^2=47*x^6+31*x^5+25*x^4+64*x^3+49*x^2+67*x+17', 'y^2=23*x^6+71*x^5+3*x^4+73*x^3+51*x^2+27*x+23', 'y^2=31*x^6+69*x^5+69*x^4+7*x^3+64*x^2+40*x+36', 'y^2=3*x^6+55*x^5+38*x^4+24*x^3+74*x^2+16*x+64', 'y^2=60*x^6+64*x^5+74*x^4+31*x^3+13*x^2+38*x+3', 'y^2=x^6+74*x^5+56*x^4+8*x^3+78*x^2+9*x+54', 'y^2=20*x^6+12*x^5+60*x^4+22*x^3+26*x^2+12*x+24', 'y^2=3*x^6+66*x^5+77*x^4+21*x^3+30*x^2+19*x+31', 'y^2=52*x^6+77*x^5+13*x^4+38*x^3+56*x^2+44*x+36', 'y^2=4*x^6+3*x^5+5*x^3+69*x^2+77*x+50'], '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.291.1'], 'geometric_splitting_field': '2.0.291.1', 'geometric_splitting_polynomials': [[73, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 80, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 80, 'label': '2.79.f_gc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'number_fields': ['2.0.79.1', '2.0.291.1'], 'p': 79, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 5, 158, 395, 6241], 'poly_str': '1 5 158 395 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 5], 'simple_distinct': ['1.79.a', '1.79.f'], 'simple_factors': ['1.79.aA', '1.79.fA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V+13', '5,6*F-19', '5,7*F+V+9'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.528494121.2', 'splitting_polynomials': [[2809, 0, 185, 0, 1]], 'twist_count': 2, 'twists': [['2.79.af_gc', '2.6241.lf_bxoi', 2]], 'weak_equivalence_count': 8, 'zfv_index': 50, 'zfv_index_factorization': [[2, 1], [5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 91956, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,-V+13', '5,6*F-19', '5,7*F+V+9']}
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av_fq_endalg_factors • Show schema
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id: 92632
{'base_label': '2.79.f_gc', 'extension_degree': 1, 'extension_label': '1.79.a', 'multiplicity': 1}
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id: 92633
{'base_label': '2.79.f_gc', 'extension_degree': 1, 'extension_label': '1.79.f', 'multiplicity': 1}
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id: 92634
{'base_label': '2.79.f_gc', 'extension_degree': 2, 'extension_label': '1.6241.fd', 'multiplicity': 1}
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id: 92635
{'base_label': '2.79.f_gc', 'extension_degree': 2, 'extension_label': '1.6241.gc', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.79.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.a', 'galois_group': '2T1', 'places': [['39', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.291.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.f', 'galois_group': '2T1', 'places': [['2', '1'], ['76', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.291.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6241.fd', 'galois_group': '2T1', 'places': [['76', '1'], ['2', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.6241.gc', 'galois_group': '1T1', 'places': [['0']]}
