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av_fq_isog • Show schema
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{'abvar_count': 5180, 'abvar_counts': [5180, 11914000, 42077228060, 146921541760000, 511081769781251900, 1779204076881005866000, 6193386085010417566602140, 21559177940880636011612160000, 75047495452283073741504450863420, 261240336341582530341312916323850000], 'abvar_counts_str': '5180 11914000 42077228060 146921541760000 511081769781251900 1779204076881005866000 6193386085010417566602140 21559177940880636011612160000 75047495452283073741504450863420 261240336341582530341312916323850000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.725626973200426, 0.864937436950821], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 84, 'curve_counts': [84, 3422, 204876, 12124878, 714875364, 42180691502, 2488651433436, 146830441239838, 8662995691476084, 511116754938219902], 'curve_counts_str': '84 3422 204876 12124878 714875364 42180691502 2488651433436 146830441239838 8662995691476084 511116754938219902 ', 'curves': ['y^2=19*x^6+10*x^5+31*x^4+7*x^3+31*x^2+10*x+19', 'y^2=25*x^6+40*x^5+49*x^4+33*x^3+37*x^2+52*x+36', 'y^2=30*x^6+x^5+16*x^4+32*x^3+51*x^2+16*x+34', 'y^2=36*x^6+3*x^5+41*x^4+25*x^3+41*x^2+3*x+36', 'y^2=29*x^6+16*x^5+27*x^4+39*x^3+27*x^2+16*x+29', 'y^2=48*x^6+12*x^5+2*x^4+5*x^3+10*x^2+5*x+41', 'y^2=39*x^6+38*x^5+23*x^4+27*x^3+40*x^2+44*x+14', 'y^2=19*x^6+28*x^5+58*x^4+25*x^3+40*x^2+6*x+46', 'y^2=57*x^6+6*x^5+32*x^4+6*x^3+32*x^2+6*x+57', 'y^2=37*x^6+5*x^5+49*x^4+38*x^3+21*x^2+25*x+54', 'y^2=29*x^6+13*x^5+55*x^4+28*x^3+38*x^2+8*x+12', 'y^2=40*x^6+5*x^5+27*x^4+18*x^3+37*x+50', 'y^2=8*x^6+34*x^5+23*x^4+45*x^3+51*x^2+43*x+35', 'y^2=46*x^6+52*x^5+15*x^4+43*x^3+33*x^2+8*x+1', 'y^2=17*x^6+9*x^5+33*x^4+23*x^3+19*x^2+21*x+27', 'y^2=44*x^6+20*x^4+2*x^3+20*x^2+44', 'y^2=49*x^6+57*x^5+40*x^4+21*x^3+37*x^2+37*x+35', 'y^2=9*x^6+28*x^5+5*x^4+9*x^3+28*x^2+20*x+45', 'y^2=49*x^6+44*x^5+52*x^4+6*x^3+14*x^2+5', 'y^2=26*x^6+24*x^5+30*x^4+12*x^3+54*x^2+40*x+19', 'y^2=35*x^6+23*x^5+53*x^4+10*x^3+8*x^2+18*x+17', 'y^2=15*x^6+11*x^5+14*x^4+21*x^3+8*x^2+6*x+20', 'y^2=8*x^6+36*x^5+31*x^4+6*x^3+58*x^2+56*x+34', 'y^2=27*x^6+12*x^5+48*x^4+47*x^3+36*x^2+8*x+35', 'y^2=27*x^6+23*x^5+13*x^4+3*x^3+8*x^2+53*x+10', 'y^2=19*x^6+38*x^5+17*x^4+5*x^3+17*x^2+38*x+19', 'y^2=20*x^6+46*x^5+18*x^3+46*x+20', 'y^2=19*x^6+19*x^5+58*x^4+51*x^3+23*x^2+21*x+48', 'y^2=3*x^6+5*x^5+52*x^4+17*x^3+29*x^2+55*x+9', 'y^2=57*x^6+36*x^5+20*x^4+45*x^3+20*x^2+36*x+57', 'y^2=45*x^6+18*x^5+29*x^4+26*x^3+14*x^2+44*x+54', 'y^2=58*x^6+30*x^5+15*x^4+19*x^3+26*x^2+39*x+30'], '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': 5, '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': ['2.0.136.1', '2.0.40.1'], 'geometric_splitting_field': '4.0.462400.1', 'geometric_splitting_polynomials': [[36, 0, 22, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 32, 'label': '2.59.y_jy', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.136.1', '2.0.40.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 4], [2, 5, 1, 2], [1, 7, 1, 4]], 'poly': [1, 24, 258, 1416, 3481], 'poly_str': '1 24 258 1416 3481 ', 'primitive_models': [], 'principal_polarization_count': 40, 'q': 59, 'real_poly': [1, 24, 140], 'simple_distinct': ['1.59.k', '1.59.o'], 'simple_factors': ['1.59.kA', '1.59.oA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V-3'], 'size': 80, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.462400.1', 'splitting_polynomials': [[36, 0, 22, 0, 1]], 'twist_count': 4, 'twists': [['2.59.ay_jy', '2.3481.aci_ifu', 2], ['2.59.ae_aw', '2.3481.aci_ifu', 2], ['2.59.e_aw', '2.3481.aci_ifu', 2]], 'weak_equivalence_count': 5, 'zfv_index': 16, 'zfv_index_factorization': [[2, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 32, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 5440, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-V-3']}
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av_fq_endalg_factors • Show schema
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id: 51825
{'base_label': '2.59.y_jy', 'extension_degree': 1, 'extension_label': '1.59.k', 'multiplicity': 1}
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id: 51826
{'base_label': '2.59.y_jy', 'extension_degree': 1, 'extension_label': '1.59.o', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.136.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.k', 'galois_group': '2T1', 'places': [['5', '1'], ['54', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.o', 'galois_group': '2T1', 'places': [['7', '1'], ['52', '1']]}
