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av_fq_isog • Show schema
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{'abvar_count': 6804, 'abvar_counts': [6804, 40851216, 242536445424, 1516335861096000, 9468680340163987404, 59091786937585072210176, 368789887453436071793225244, 2301619063346265971313514656000, 14364405173758555105447276054015344, 89648251988639077011804256973054259216], 'abvar_counts_str': '6804 40851216 242536445424 1516335861096000 9468680340163987404 59091786937585072210176 368789887453436071793225244 2301619063346265971313514656000 14364405173758555105447276054015344 89648251988639077011804256973054259216 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.517915787825951, 0.572243955237905], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 85, 'curve_counts': [85, 6541, 491920, 38930233, 3077187775, 243088590526, 19203896858665, 1517108758657873, 119851596935278000, 9468276083872636981], 'curve_counts_str': '85 6541 491920 38930233 3077187775 243088590526 19203896858665 1517108758657873 119851596935278000 9468276083872636981 ', 'curves': ['y^2=40*x^6+46*x^5+26*x^4+39*x^3+60*x^2+5*x+55', 'y^2=35*x^6+37*x^5+40*x^4+15*x^3+43*x^2+66*x+1', 'y^2=5*x^5+75*x^4+62*x^3+31*x^2+44*x+65', 'y^2=61*x^6+71*x^5+16*x^4+40*x^3+60*x^2+36*x+29', 'y^2=30*x^6+52*x^5+63*x^4+47*x^3+37*x^2+11*x+51', 'y^2=41*x^6+64*x^5+63*x^4+75*x^3+58*x^2+22*x+28', 'y^2=4*x^6+2*x^5+7*x^4+74*x^3+38*x^2+4*x+46', 'y^2=77*x^5+14*x^4+9*x^3+6*x^2+28*x+45', 'y^2=19*x^6+60*x^5+7*x^4+38*x^3+49*x^2+35*x+50', 'y^2=61*x^6+33*x^5+77*x^4+44*x^3+26*x^2+34*x+67', 'y^2=39*x^6+68*x^5+28*x^4+19*x^3+17*x^2+57*x+53', 'y^2=74*x^5+67*x^4+71*x^3+62*x^2+73*x+45', 'y^2=71*x^6+48*x^5+50*x^4+76*x^3+48*x^2+41*x+44', 'y^2=25*x^6+62*x^5+29*x^4+23*x^3+78*x^2+39*x+46', 'y^2=45*x^6+2*x^5+36*x^4+53*x^3+62*x^2+40*x+7', 'y^2=44*x^6+56*x^5+54*x^4+68*x^3+26*x^2+11*x+50', 'y^2=26*x^6+52*x^5+7*x^4+78*x^3+5*x^2+x+3', 'y^2=28*x^6+41*x^5+30*x^4+68*x^3+61*x^2+65*x+55', 'y^2=52*x^6+46*x^5+65*x^4+20*x^3+57*x^2+26*x+71', 'y^2=20*x^6+9*x^5+18*x^4+52*x^3+18*x^2+43*x+19', 'y^2=22*x^6+10*x^5+17*x^4+4*x^3+43*x^2+76*x+37', 'y^2=24*x^6+12*x^5+37*x^4+60*x^3+54*x^2+11*x+42', 'y^2=45*x^6+71*x^5+46*x^4+18*x^3+9*x^2+52*x+34', 'y^2=64*x^6+71*x^5+35*x^4+x^3+78*x^2+26*x+47', 'y^2=24*x^5+23*x^4+13*x^3+7*x^2+68*x+5', 'y^2=72*x^6+77*x^5+2*x^4+26*x^3+45*x^2+55*x+16', 'y^2=30*x^6+46*x^5+2*x^3+38*x^2+3*x+7', 'y^2=54*x^6+21*x^5+76*x^4+38*x^3+72*x^2+45*x+43', 'y^2=17*x^6+68*x^5+49*x^4+16*x^3+69*x^2+35*x+58', 'y^2=50*x^6+31*x^5+8*x^4+65*x^3+47*x^2+44*x+57', 'y^2=62*x^6+30*x^5+58*x^4+29*x^3+65*x^2+51*x+76', 'y^2=3*x^6+9*x^5+3*x^4+2*x^3+31*x^2+50*x+43', 'y^2=75*x^6+30*x^5+41*x^4+66*x^3+61*x^2+78*x+37', 'y^2=55*x^6+61*x^5+18*x^4+22*x^3+8*x^2+78*x+46', 'y^2=73*x^6+64*x^5+14*x^4+38*x^3+x^2+49*x+52', 'y^2=60*x^6+41*x^5+18*x^4+67*x^3+35*x^2+8*x+15', 'y^2=2*x^6+62*x^5+51*x^4+6*x^3+48*x^2+32*x+59', 'y^2=27*x^6+68*x^5+46*x^4+72*x^3+28*x^2+65*x+29', 'y^2=40*x^6+24*x^5+61*x^4+14*x^3+13*x^2+7*x+50', 'y^2=22*x^6+26*x^5+50*x^4+54*x^3+9*x^2+39*x+14', 'y^2=69*x^5+47*x^4+42*x^3+31*x^2+49*x+64', 'y^2=44*x^6+72*x^5+4*x^4+60*x^3+67*x^2+6*x+61', 'y^2=59*x^6+56*x^5+39*x^4+19*x^3+20*x^2+71*x+50', 'y^2=5*x^6+8*x^5+22*x^4+6*x^3+4*x^2+74*x+74', 'y^2=14*x^6+51*x^5+60*x^4+72*x^3+77*x^2+43*x+32', 'y^2=27*x^6+46*x^5+77*x^4+7*x^3+41*x^2+51*x+44', 'y^2=72*x^6+49*x^5+37*x^4+66*x^3+56*x^2+71*x+22', 'y^2=5*x^6+50*x^5+4*x^4+10*x^3+33*x^2+64*x+72', 'y^2=50*x^6+44*x^5+76*x^4+53*x^3+37*x^2+59*x+44', 'y^2=10*x^6+12*x^5+64*x^4+26*x^3+74*x^2+69', 'y^2=28*x^6+39*x^5+9*x^4+35*x^3+60*x^2+56*x+76', 'y^2=19*x^6+77*x^5+63*x^4+72*x^3+52*x^2+36*x+30', 'y^2=54*x^6+75*x^5+54*x^4+11*x^3+48*x^2+43*x+11', 'y^2=49*x^6+36*x^5+14*x^4+21*x^3+14*x^2+29*x+21', 'y^2=53*x^6+47*x^5+10*x^4+54*x^3+63*x^2+40*x+42', 'y^2=23*x^6+12*x^5+36*x^4+44*x^3+70*x^2+60*x+48'], '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': 24, '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': ['2.0.35.1', '2.0.3.1'], 'geometric_splitting_field': '4.0.11025.3', 'geometric_splitting_polynomials': [[81, -9, -8, -1, 1]], 'group_structure_count': 8, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 56, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 56, 'label': '2.79.f_gg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.35.1', '2.0.3.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 162, 395, 6241], 'poly_str': '1 5 162 395 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 5, 4], 'simple_distinct': ['1.79.b', '1.79.e'], 'simple_factors': ['1.79.bA', '1.79.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,5*F-2', '2,V+1', '5,V-8'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.11025.3', 'splitting_polynomials': [[81, -9, -8, -1, 1]], 'twist_count': 12, 'twists': [['2.79.af_gg', '2.6241.ln_bzlo', 2], ['2.79.ad_fy', '2.6241.ln_bzlo', 2], ['2.79.d_fy', '2.6241.ln_bzlo', 2], ['2.79.aq_fl', '2.493039.abrc_cpzic', 3], ['2.79.o_gp', '2.493039.abrc_cpzic', 3], ['2.79.as_gt', '2.243087455521.cmpaa_dggcewopy', 6], ['2.79.ao_gp', '2.243087455521.cmpaa_dggcewopy', 6], ['2.79.am_fp', '2.243087455521.cmpaa_dggcewopy', 6], ['2.79.m_fp', '2.243087455521.cmpaa_dggcewopy', 6], ['2.79.q_fl', '2.243087455521.cmpaa_dggcewopy', 6], ['2.79.s_gt', '2.243087455521.cmpaa_dggcewopy', 6]], 'weak_equivalence_count': 28, 'zfv_index': 270, 'zfv_index_factorization': [[2, 1], [3, 3], [5, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 94500, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,5*F-2', '2,V+1', '5,V-8']}
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av_fq_endalg_factors • Show schema
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id: 92676
{'base_label': '2.79.f_gg', 'extension_degree': 1, 'extension_label': '1.79.b', 'multiplicity': 1}
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id: 92677
{'base_label': '2.79.f_gg', 'extension_degree': 1, 'extension_label': '1.79.e', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.b', 'galois_group': '2T1', 'places': [['26', '1'], ['52', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.79.e', 'galois_group': '2T1', 'places': [['55', '1'], ['23', '1']]}
