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av_fq_isog • Show schema
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{'abvar_count': 5463, 'abvar_counts': [5463, 38585169, 241739388900, 1516753707246729, 9468223616028873303, 59091077937647286090000, 368789975142775460366576823, 2301619149042355224532705703049, 14364404928951471029938332964472100, 89648251921327207982716779841987849809], 'abvar_counts_str': '5463 38585169 241739388900 1516753707246729 9468223616028873303 59091077937647286090000 368789975142775460366576823 2301619149042355224532705703049 14364404928951471029938332964472100 89648251921327207982716779841987849809 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0235106226796852, 0.643156043986981], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 70, 'curve_counts': [70, 6184, 490300, 38940964, 3077039350, 243085673878, 19203901424890, 1517108815144324, 119851594892692900, 9468276076763436904], 'curve_counts_str': '70 6184 490300 38940964 3077039350 243085673878 19203901424890 1517108815144324 119851594892692900 9468276076763436904 ', 'curves': ['y^2=14*x^6+13*x^5+29*x^4+55*x^3+71*x^2+61*x+48', 'y^2=32*x^6+74*x^5+62*x^4+41*x^3+54*x^2+74*x+73', 'y^2=x^6+3*x^3+26', 'y^2=61*x^6+5*x^5+26*x^4+35*x^3+36*x^2+26*x+44', 'y^2=31*x^6+29*x^5+68*x^4+18*x^3+14*x^2+24*x+67', 'y^2=49*x^6+69*x^5+52*x^4+34*x^3+14*x^2+59*x+71', 'y^2=46*x^6+39*x^5+78*x^4+42*x^3+54*x^2+8*x+60', 'y^2=53*x^6+27*x^4+18*x^3+67*x^2+35*x+15', 'y^2=18*x^6+49*x^5+10*x^4+34*x^3+13*x^2+12*x+45', 'y^2=49*x^6+4*x^5+38*x^4+60*x^3+23*x^2+75*x+21', 'y^2=68*x^6+11*x^5+24*x^4+15*x^3+45*x^2+76*x+47', 'y^2=62*x^6+42*x^5+10*x^4+14*x^3+42*x^2+69*x+36', 'y^2=63*x^6+27*x^5+71*x^4+7*x^3+28*x^2+9*x+34', 'y^2=61*x^6+51*x^5+70*x^4+78*x^3+72*x^2+42*x+28', 'y^2=58*x^6+22*x^5+49*x^4+69*x^3+17*x^2+78*x+53', 'y^2=6*x^6+61*x^5+42*x^4+11*x^3+69*x^2+27*x+52', 'y^2=x^6+x^3+5', 'y^2=78*x^6+38*x^5+27*x^4+43*x^3+67*x^2+4*x+66', 'y^2=60*x^6+5*x^5+8*x^4+50*x^3+63*x^2+x+70', 'y^2=59*x^6+54*x^5+66*x^4+25*x^3+44*x^2+68*x+77', 'y^2=40*x^6+45*x^5+5*x^4+64*x^3+20*x^2+48*x+32', 'y^2=48*x^6+72*x^5+14*x^4+30*x^3+48*x^2+7*x+59', 'y^2=62*x^6+20*x^5+60*x^4+33*x^3+65*x^2+58*x+56', 'y^2=77*x^6+23*x^5+22*x^4+10*x^3+27*x^2+61*x+60', 'y^2=38*x^6+15*x^5+14*x^4+64*x^3+71*x^2+41*x+60', 'y^2=x^6+x^3+45', 'y^2=50*x^6+57*x^5+42*x^4+61*x^3+28*x^2+13*x+23', 'y^2=47*x^6+2*x^5+72*x^4+70*x^3+72*x^2+56*x+63', 'y^2=77*x^6+63*x^5+30*x^4+64*x^3+14*x^2+54*x+11', 'y^2=30*x^6+51*x^5+46*x^3+24*x^2+2*x+15', 'y^2=x^6+3*x^3+32', 'y^2=36*x^6+68*x^5+41*x^4+11*x^3+19*x^2+57*x+12', 'y^2=x^6+x^3+40', 'y^2=22*x^6+52*x^5+x^4+54*x^3+38*x^2+71*x+19', 'y^2=4*x^6+21*x^5+50*x^4+33*x^3+9*x^2+19*x+39', 'y^2=9*x^6+40*x^5+22*x^4+72*x^3+23*x^2+43*x+18', 'y^2=25*x^6+20*x^5+55*x^4+18*x^3+6*x^2+24*x+43', 'y^2=18*x^6+34*x^5+28*x^4+69*x^3+45*x^2+66*x+69', 'y^2=68*x^6+29*x^5+41*x^4+51*x^3+70*x^2+29*x+26', 'y^2=70*x^6+54*x^5+53*x^4+76*x^3+x^2+36*x+5', 'y^2=36*x^6+61*x^5+34*x^4+10*x^3+24*x^2+34*x+29', 'y^2=55*x^6+61*x^5+9*x^4+68*x^3+52*x^2+2*x+68', 'y^2=51*x^6+57*x^4+56*x^3+69*x^2+42*x+7', 'y^2=72*x^6+47*x^5+10*x^4+4*x^3+40*x^2+3*x+67', 'y^2=45*x^6+56*x^5+33*x^4+20*x^3+65*x^2+51*x+66', 'y^2=34*x^6+65*x^5+21*x^4+31*x^3+62*x^2+75*x+30', 'y^2=x^6+3*x^3+31', 'y^2=42*x^6+19*x^5+30*x^4+40*x^3+19*x^2+42*x+1', 'y^2=62*x^6+67*x^5+73*x^4+58*x^3+7*x^2+22*x+20', 'y^2=17*x^6+73*x^5+16*x^4+3*x^3+8*x^2+29*x+76', 'y^2=47*x^6+75*x^5+33*x^4+42*x^3+17*x^2+46*x+38', 'y^2=8*x^6+44*x^5+69*x^4+19*x^3+11*x^2+30*x+41', 'y^2=7*x^6+30*x^5+19*x^4+20*x^3+28*x^2+14*x+59', 'y^2=46*x^6+66*x^5+25*x^4+48*x^3+20*x^2+56*x+32', 'y^2=16*x^6+27*x^5+29*x^4+76*x^3+48*x^2+10*x+34', 'y^2=34*x^6+41*x^5+57*x^4+37*x^3+40*x^2+61*x+52', 'y^2=29*x^6+14*x^5+73*x^4+18*x^3+56*x^2+16*x+54', 'y^2=21*x^6+13*x^5+14*x^4+x^3+73*x^2+40*x+44', 'y^2=x^6+x^3+51', 'y^2=76*x^6+63*x^5+24*x^4+50*x^3+46*x^2+17*x+61', 'y^2=7*x^6+24*x^5+28*x^4+16*x^3+x^2+54*x+6', 'y^2=75*x^6+42*x^5+36*x^4+56*x^3+2*x^2+41*x+7', 'y^2=4*x^6+32*x^5+40*x^4+27*x^3+41*x^2+59*x+39'], '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': 10, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 63, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 63, 'label': '2.79.ak_v', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.576.2'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -10, 21, -790, 6241], 'poly_str': '1 -10 21 -790 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, -10, -137], 'simple_distinct': ['2.79.ak_v'], 'simple_factors': ['2.79.ak_vA'], 'simple_multiplicities': [1], 'singular_primes': ['7,-F^2-V+19', '3,7*V-70'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.576.2', 'splitting_polynomials': [[4, 0, 2, 0, 1]], 'twist_count': 6, 'twists': [['2.79.k_v', '2.6241.acg_aegr', 2], ['2.79.u_jy', '2.493039.aebk_ggxeo', 3], ['2.79.au_jy', '2.243087455521.adxjou_gdirqrmxy', 6], ['2.79.a_cg', '2.243087455521.adxjou_gdirqrmxy', 6], ['2.79.a_acg', '2.59091511031674153381441.acyoczpgho_ewuspbecjdjwecyzm', 12]], 'weak_equivalence_count': 10, 'zfv_index': 567, 'zfv_index_factorization': [[3, 4], [7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 9, 'zfv_plus_index_factorization': [[3, 2]], 'zfv_plus_norm': 441, 'zfv_singular_count': 4, 'zfv_singular_primes': ['7,-F^2-V+19', '3,7*V-70']}
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av_fq_endalg_factors • Show schema
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id: 90672
{'base_label': '2.79.ak_v', 'extension_degree': 1, 'extension_label': '2.79.ak_v', 'multiplicity': 1}
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id: 90673
{'base_label': '2.79.ak_v', 'extension_degree': 3, 'extension_label': '1.493039.acas', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.576.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.ak_v', 'galois_group': '4T2', 'places': [['30', '1', '0', '0'], ['21', '1', '0', '0'], ['49', '1', '0', '0'], ['58', '1', '0', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.493039.acas', 'galois_group': '2T1', 'places': [['28', '1'], ['51', '1']]}
