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av_fq_isog • Show schema
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{'abvar_count': 3706, 'abvar_counts': [3706, 13734436, 51520548874, 191906384768784, 713342910630372826, 2654366956278222667876, 9876832533366321444958186, 36751684675041346467240935424, 136753052840547984237243933133114, 508858108146612072564897219759226276], 'abvar_counts_str': '3706 13734436 51520548874 191906384768784 713342910630372826 2654366956278222667876 9876832533366321444958186 36751684675041346467240935424 136753052840547984237243933133114 508858108146612072564897219759226276 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.229066918493667, 0.770933081506334], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 62, 'curve_counts': [62, 3690, 226982, 13860214, 844596302, 51520723386, 3142742836022, 191707265103454, 11694146092834142, 713342909597863050], 'curve_counts_str': '62 3690 226982 13860214 844596302 51520723386 3142742836022 191707265103454 11694146092834142 713342909597863050 ', 'curves': ['y^2=17*x^6+31*x^5+32*x^4+13*x^3+45*x^2+2', 'y^2=34*x^6+x^5+3*x^4+26*x^3+29*x^2+4', 'y^2=25*x^6+47*x^5+21*x^4+43*x^3+54*x^2+60*x+24', 'y^2=50*x^6+33*x^5+42*x^4+25*x^3+47*x^2+59*x+48', 'y^2=33*x^6+15*x^5+13*x^4+24*x^3+38*x^2+37*x+40', 'y^2=5*x^6+30*x^5+26*x^4+48*x^3+15*x^2+13*x+19', 'y^2=14*x^6+17*x^5+6*x^4+52*x^3+2*x^2+31*x+56', 'y^2=28*x^6+34*x^5+12*x^4+43*x^3+4*x^2+x+51', 'y^2=19*x^6+24*x^5+20*x^4+8*x^3+60*x^2+22*x+10', 'y^2=38*x^6+48*x^5+40*x^4+16*x^3+59*x^2+44*x+20', 'y^2=22*x^6+x^5+48*x^4+12*x^3+15*x^2+57*x+18', 'y^2=44*x^6+2*x^5+35*x^4+24*x^3+30*x^2+53*x+36', 'y^2=7*x^6+53*x^5+51*x^4+41*x^3+8*x^2+25*x+26', 'y^2=14*x^6+45*x^5+41*x^4+21*x^3+16*x^2+50*x+52', 'y^2=3*x^6+32*x^5+9*x^4+17*x^3+7*x^2+35*x+43', 'y^2=6*x^6+3*x^5+18*x^4+34*x^3+14*x^2+9*x+25', 'y^2=11*x^6+3*x^4+16*x^3+51*x^2+x+29', 'y^2=22*x^6+6*x^4+32*x^3+41*x^2+2*x+58', 'y^2=8*x^6+33*x^5+19*x^4+8*x^3+55*x^2+20*x+57', 'y^2=16*x^6+5*x^5+38*x^4+16*x^3+49*x^2+40*x+53', 'y^2=56*x^6+4*x^5+56*x^4+53*x^3+35*x^2+29*x+4', 'y^2=51*x^6+8*x^5+51*x^4+45*x^3+9*x^2+58*x+8', 'y^2=33*x^6+11*x^5+53*x^4+9*x^3+57*x^2+2*x+18', 'y^2=5*x^6+22*x^5+45*x^4+18*x^3+53*x^2+4*x+36', 'y^2=42*x^6+15*x^5+24*x^4+7*x^3+21*x^2+59*x+58', 'y^2=23*x^6+30*x^5+48*x^4+14*x^3+42*x^2+57*x+55', 'y^2=10*x^6+9*x^5+48*x^4+22*x^3+45*x^2+31*x+32', 'y^2=20*x^6+18*x^5+35*x^4+44*x^3+29*x^2+x+3', 'y^2=5*x^6+58*x^5+30*x^4+20*x^3+42*x^2+47*x+28', 'y^2=10*x^6+55*x^5+60*x^4+40*x^3+23*x^2+33*x+56', 'y^2=27*x^6+48*x^5+42*x^4+11*x^3+19*x^2+4*x+7', 'y^2=54*x^6+35*x^5+23*x^4+22*x^3+38*x^2+8*x+14', 'y^2=9*x^6+55*x^5+39*x^4+19*x^3+5*x^2+5*x+38', 'y^2=18*x^6+49*x^5+17*x^4+38*x^3+10*x^2+10*x+15', 'y^2=28*x^6+43*x^5+35*x^4+39*x^3+40*x^2+7*x+5', 'y^2=56*x^6+25*x^5+9*x^4+17*x^3+19*x^2+14*x+10', 'y^2=20*x^6+45*x^5+54*x^4+16*x^3+59*x^2+8*x+56', 'y^2=40*x^6+29*x^5+47*x^4+32*x^3+57*x^2+16*x+51', 'y^2=55*x^6+49*x^5+52*x^4+11*x^3+41*x^2+46*x+14', 'y^2=49*x^6+37*x^5+43*x^4+22*x^3+21*x^2+31*x+28', 'y^2=22*x^6+20*x^5+2*x^4+6*x^3+6*x^2+43*x+42', 'y^2=44*x^6+40*x^5+4*x^4+12*x^3+12*x^2+25*x+23', 'y^2=58*x^6+3*x^5+10*x^4+2*x^3+11*x^2+21*x+9', 'y^2=55*x^6+6*x^5+20*x^4+4*x^3+22*x^2+42*x+18', 'y^2=26*x^6+45*x^5+60*x^4+31*x^3+2*x+9', 'y^2=52*x^6+29*x^5+59*x^4+x^3+4*x+18', 'y^2=5*x^6+19*x^5+22*x^4+57*x^3+7*x^2+60*x+11', 'y^2=10*x^6+38*x^5+44*x^4+53*x^3+14*x^2+59*x+22', 'y^2=41*x^6+32*x^5+20*x^4+54*x^3+43*x^2+49*x+13', 'y^2=21*x^6+3*x^5+40*x^4+47*x^3+25*x^2+37*x+26', 'y^2=33*x^6+8*x^5+18*x^4+59*x^3+16*x^2+46*x+42', 'y^2=5*x^6+16*x^5+36*x^4+57*x^3+32*x^2+31*x+23', 'y^2=45*x^6+4*x^5+53*x^4+49*x^3+59*x^2+7*x+50', 'y^2=29*x^6+8*x^5+45*x^4+37*x^3+57*x^2+14*x+39', 'y^2=59*x^6+36*x^5+57*x^4+7*x^3+34*x^2+34*x+37', 'y^2=57*x^6+11*x^5+53*x^4+14*x^3+7*x^2+7*x+13', 'y^2=46*x^6+30*x^5+12*x^4+22*x^3+29*x^2+39*x+29', 'y^2=31*x^6+60*x^5+24*x^4+44*x^3+58*x^2+17*x+58', 'y^2=22*x^6+8*x^5+3*x^4+36*x^3+43*x^2+55*x+2', 'y^2=44*x^6+16*x^5+6*x^4+11*x^3+25*x^2+49*x+4', 'y^2=19*x^6+20*x^5+13*x^3+14*x^2+47*x+56', 'y^2=38*x^6+40*x^5+26*x^3+28*x^2+33*x+51', 'y^2=49*x^6+14*x^5+36*x^4+34*x^3+26*x^2+29*x+25', 'y^2=37*x^6+28*x^5+11*x^4+7*x^3+52*x^2+58*x+50', 'y^2=43*x^6+26*x^5+60*x^4+19*x^3+31*x^2+49*x+30', 'y^2=25*x^6+52*x^5+59*x^4+38*x^3+x^2+37*x+60', 'y^2=35*x^6+37*x^5+5*x^4+48*x^3+9*x^2+4*x+52', 'y^2=9*x^6+13*x^5+10*x^4+35*x^3+18*x^2+8*x+43', 'y^2=24*x^6+35*x^5+12*x^4+16*x^2+18*x+1', 'y^2=48*x^6+9*x^5+24*x^4+32*x^2+36*x+2', 'y^2=30*x^6+59*x^5+37*x^4+16*x^3+22*x^2+58*x+14', 'y^2=60*x^6+57*x^5+13*x^4+32*x^3+44*x^2+55*x+28', 'y^2=59*x^6+59*x^5+60*x^4+40*x^3+5*x^2+28*x+40', 'y^2=57*x^6+57*x^5+59*x^4+19*x^3+10*x^2+56*x+19', 'y^2=40*x^6+55*x^5+41*x^4+44*x^3+35*x^2+37*x+14', 'y^2=19*x^6+49*x^5+21*x^4+27*x^3+9*x^2+13*x+28', 'y^2=52*x^6+22*x^5+37*x^4+31*x^3+3*x^2+40*x+12', 'y^2=43*x^6+44*x^5+13*x^4+x^3+6*x^2+19*x+24', 'y^2=46*x^6+2*x^5+32*x^4+15*x^3+35*x^2+44*x+11', 'y^2=31*x^6+4*x^5+3*x^4+30*x^3+9*x^2+27*x+22', 'y^2=32*x^6+38*x^5+12*x^4+5*x^3+52*x^2+16*x+26', 'y^2=3*x^6+15*x^5+24*x^4+10*x^3+43*x^2+32*x+52', 'y^2=56*x^6+38*x^5+37*x^4+16*x^3+5*x^2+21*x+51', 'y^2=51*x^6+15*x^5+13*x^4+32*x^3+10*x^2+42*x+41', 'y^2=40*x^6+x^5+24*x^4+57*x^3+6*x^2+7*x+2', 'y^2=19*x^6+2*x^5+48*x^4+53*x^3+12*x^2+14*x+4', 'y^2=37*x^6+37*x^5+31*x^4+31*x^3+15*x^2+47*x+3', 'y^2=13*x^6+13*x^5+x^4+x^3+30*x^2+33*x+6', 'y^2=29*x^6+28*x^5+28*x^4+58*x^3+46*x^2+46*x+22', 'y^2=58*x^6+56*x^5+56*x^4+55*x^3+31*x^2+31*x+44', 'y^2=53*x^6+25*x^5+54*x^4+36*x^3+58*x^2+46*x+17', 'y^2=45*x^6+50*x^5+47*x^4+11*x^3+55*x^2+31*x+34', 'y^2=26*x^6+18*x^5+7*x^4+5*x^3+18*x^2+34*x+45', 'y^2=52*x^6+36*x^5+14*x^4+10*x^3+36*x^2+7*x+29', 'y^2=39*x^6+52*x^5+59*x^4+19*x^3+5*x^2+21*x+36', 'y^2=17*x^6+43*x^5+57*x^4+38*x^3+10*x^2+42*x+11', 'y^2=29*x^6+54*x^5+7*x^4+40*x^3+24*x^2+47*x+3', 'y^2=58*x^6+47*x^5+14*x^4+19*x^3+48*x^2+33*x+6', 'y^2=14*x^5+40*x^4+21*x^3+20*x^2+39*x+46', 'y^2=28*x^5+19*x^4+42*x^3+40*x^2+17*x+31'], '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': 1, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.14628.1'], 'geometric_splitting_field': '2.0.14628.1', 'geometric_splitting_polynomials': [[3657, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 100, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 100, 'label': '2.61.a_aq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.3423654144.1'], 'p': 61, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -16, 0, 3721], 'poly_str': '1 0 -16 0 3721 ', 'primitive_models': [], 'q': 61, 'real_poly': [1, 0, -138], 'simple_distinct': ['2.61.a_aq'], 'simple_factors': ['2.61.a_aqA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3423654144.1', 'splitting_polynomials': [[3721, 0, -16, 0, 1]], 'twist_count': 2, 'twists': [['2.61.a_q', '2.13845841.vgu_grpomo', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 11236, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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id: 55286
{'base_label': '2.61.a_aq', 'extension_degree': 1, 'extension_label': '2.61.a_aq', 'multiplicity': 1}
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id: 55287
{'base_label': '2.61.a_aq', 'extension_degree': 2, 'extension_label': '1.3721.aq', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.3423654144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.61.a_aq', 'galois_group': '4T2', 'places': [['4', '1', '0', '0'], ['57', '1', '0', '0'], ['4', '3705/61', '0', '1/61'], ['57', '3705/61', '0', '1/61']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.14628.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3721.aq', 'galois_group': '2T1', 'places': [['53', '1'], ['8', '1']]}
