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av_fq_isog • Show schema
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{'abvar_count': 3476, 'abvar_counts': [3476, 12082576, 42180596084, 146998359506944, 511116752940872276, 1779202686001556135056, 6193386212893548516173876, 21559170437108626899316506624, 75047496554032949102470072314644, 261240335136820668397175743745420176], 'abvar_counts_str': '3476 12082576 42180596084 146998359506944 511116752940872276 1779202686001556135056 6193386212893548516173876 21559170437108626899316506624 75047496554032949102470072314644 261240335136820668397175743745420176 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.241903884513494, 0.758096115486506], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 60, 'curve_counts': [60, 3470, 205380, 12131214, 714924300, 42180658526, 2488651484820, 146830390134814, 8662995818654940, 511116752581103150], 'curve_counts_str': '60 3470 205380 12131214 714924300 42180658526 2488651484820 146830390134814 8662995818654940 511116752581103150 ', 'curves': ['y^2=50*x^6+9*x^5+39*x^4+7*x^3+58*x^2+45*x+50', 'y^2=35*x^6+28*x^5+48*x^4+47*x^3+26*x^2+40*x+2', 'y^2=11*x^6+56*x^5+37*x^4+35*x^3+52*x^2+21*x+4', 'y^2=47*x^6+27*x^5+49*x^4+37*x^3+22*x^2+3*x+27', 'y^2=35*x^6+54*x^5+39*x^4+15*x^3+44*x^2+6*x+54', 'y^2=31*x^6+12*x^5+40*x^4+44*x^3+24*x^2+26*x+26', 'y^2=3*x^6+24*x^5+21*x^4+29*x^3+48*x^2+52*x+52', 'y^2=34*x^6+54*x^5+36*x^4+57*x^3+58*x^2+32*x+48', 'y^2=34*x^6+17*x^5+37*x^4+30*x^3+35*x+22', 'y^2=25*x^6+58*x^5+12*x^4+28*x^3+8*x^2+36*x+10', 'y^2=50*x^6+57*x^5+24*x^4+56*x^3+16*x^2+13*x+20', 'y^2=29*x^6+57*x^5+37*x^4+26*x^3+57*x^2+19*x+42', 'y^2=40*x^6+46*x^5+7*x^4+11*x^3+39*x^2+51*x+41', 'y^2=27*x^6+6*x^5+31*x^4+29*x^3+39*x^2+4*x+54', 'y^2=54*x^6+12*x^5+3*x^4+58*x^3+19*x^2+8*x+49', 'y^2=40*x^6+20*x^5+35*x^4+54*x^3+21*x^2+57*x+28', 'y^2=21*x^6+13*x^5+51*x^4+57*x^3+56*x^2+16*x+16', 'y^2=42*x^6+26*x^5+43*x^4+55*x^3+53*x^2+32*x+32', 'y^2=54*x^6+52*x^5+21*x^4+42*x^3+20*x^2+53*x+20', 'y^2=45*x^6+4*x^5+34*x^4+6*x^2+34*x+28', 'y^2=34*x^6+32*x^5+15*x^4+24*x^3+22*x^2+53*x+24', 'y^2=9*x^6+5*x^5+30*x^4+48*x^3+44*x^2+47*x+48', 'y^2=22*x^6+8*x^5+35*x^4+3*x^3+6*x^2+30*x+31', 'y^2=7*x^6+11*x^5+24*x^4+43*x^3+35*x^2+11*x+52', 'y^2=36*x^6+23*x^5+46*x^4+32*x^3+33*x^2+33*x+52', 'y^2=45*x^6+8*x^5+17*x^4+7*x^3+8*x^2+13*x+24', 'y^2=39*x^6+29*x^5+49*x^4+25*x^3+8*x^2+28*x+48', 'y^2=19*x^6+21*x^4+12*x^3+58*x^2+39', 'y^2=39*x^6+14*x^5+34*x^4+53*x^3+3*x^2+39*x+5', 'y^2=47*x^6+13*x^5+39*x^4+18*x^3+36*x^2+26*x+35', 'y^2=35*x^6+26*x^5+19*x^4+36*x^3+13*x^2+52*x+11', 'y^2=33*x^6+36*x^5+56*x^4+15*x^3+47*x^2+6*x', 'y^2=7*x^6+13*x^5+53*x^4+30*x^3+35*x^2+12*x', 'y^2=55*x^6+7*x^5+54*x^4+16*x^3+15*x^2+4*x+49', 'y^2=12*x^6+35*x^5+14*x^4+20*x^3+48*x^2+57*x+26', 'y^2=24*x^6+11*x^5+28*x^4+40*x^3+37*x^2+55*x+52', 'y^2=16*x^6+55*x^5+2*x^4+8*x^3+8*x^2+53*x+16', 'y^2=32*x^6+51*x^5+4*x^4+16*x^3+16*x^2+47*x+32', 'y^2=31*x^6+3*x^5+5*x^4+16*x^3+13*x^2+25*x+3', 'y^2=16*x^6+23*x^5+38*x^4+5*x^3+35*x^2+20*x+24', 'y^2=25*x^6+22*x^5+58*x^4+23*x^3+30*x^2+56*x+30', 'y^2=34*x^6+41*x^5+32*x^4+55*x^3+6*x^2+56*x+35', 'y^2=9*x^6+23*x^5+5*x^4+51*x^3+12*x^2+53*x+11', 'y^2=36*x^6+3*x^5+29*x^4+49*x^3+11*x^2+26*x+38', 'y^2=13*x^6+6*x^5+58*x^4+39*x^3+22*x^2+52*x+17', 'y^2=16*x^6+19*x^5+20*x^4+41*x^3+34*x^2+26*x+13', 'y^2=36*x^6+7*x^5+45*x^4+10*x^3+58*x^2+19*x+13', 'y^2=55*x^6+25*x^5+6*x^4+30*x^3+16*x^2+18*x+2', 'y^2=20*x^6+29*x^5+56*x^4+52*x^3+20*x^2+37*x+16', 'y^2=21*x^6+x^5+54*x^4+38*x^3+35*x^2+49*x+54', 'y^2=51*x^6+21*x^5+32*x^4+x^3+4*x^2+16*x+47', 'y^2=37*x^6+15*x^5+5*x^4+x^3+22*x^2+54*x+24', 'y^2=51*x^6+48*x^5+39*x^4+50*x^3+29*x^2+49*x+32', 'y^2=27*x^6+50*x^5+37*x^4+29*x^3+45*x^2+12*x+12', 'y^2=54*x^6+41*x^5+15*x^4+58*x^3+31*x^2+24*x+24', 'y^2=45*x^6+21*x^5+46*x^4+41*x^3+8*x^2+9*x+40', 'y^2=51*x^6+45*x^5+57*x^4+8*x^3+34*x^2+25*x+10', 'y^2=20*x^6+21*x^5+36*x^4+10*x^3+25*x^2+16*x+42', 'y^2=40*x^6+42*x^5+13*x^4+20*x^3+50*x^2+32*x+25', 'y^2=41*x^6+55*x^5+21*x^4+53*x^3+54*x^2+47*x+55', 'y^2=20*x^6+x^5+7*x^4+40*x^3+30*x^2+39*x+43', 'y^2=36*x^6+4*x^5+24*x^4+51*x^3+46*x^2+34*x+34', 'y^2=13*x^6+8*x^5+48*x^4+43*x^3+33*x^2+9*x+9', 'y^2=37*x^6+3*x^5+48*x^4+53*x^3+47*x^2+26*x+28', 'y^2=6*x^6+13*x^5+17*x^4+31*x^3+12*x^2+16*x+47', 'y^2=53*x^6+55*x^4+12*x^3+20*x^2+42', 'y^2=2*x^6+3*x^5+48*x^4+56*x^3+10*x^2+41*x+27', 'y^2=52*x^6+24*x^5+58*x^4+2*x^3+5*x^2+14*x+47', 'y^2=45*x^6+48*x^5+57*x^4+4*x^3+10*x^2+28*x+35', 'y^2=23*x^6+20*x^5+x^4+4*x^3+11*x^2+55*x', 'y^2=46*x^6+40*x^5+2*x^4+8*x^3+22*x^2+51*x', 'y^2=12*x^6+19*x^5+22*x^4+32*x^3+35*x^2+9*x+54', 'y^2=24*x^6+38*x^5+44*x^4+5*x^3+11*x^2+18*x+49', 'y^2=33*x^6+31*x^5+53*x^4+25*x^3+14*x^2+18*x+20', 'y^2=3*x^6+33*x^5+54*x^4+58*x^3+x^2+32*x+8', 'y^2=3*x^6+12*x^5+19*x^4+42*x^3+42*x^2+52*x+51', 'y^2=34*x^6+53*x^5+14*x^4+31*x^3+35*x^2+51*x+15', 'y^2=42*x^6+30*x^5+25*x^4+56*x^3+58*x^2+43*x+16', 'y^2=34*x^6+42*x^5+7*x^4+57*x^3+54*x^2+43*x+27', 'y^2=54*x^5+48*x^4+9*x^3+56*x^2+40*x+7', 'y^2=49*x^5+37*x^4+18*x^3+53*x^2+21*x+14', 'y^2=38*x^6+41*x^5+x^3+51*x+20', 'y^2=31*x^6+54*x^5+52*x^4+48*x^3+21*x^2+14*x+48', 'y^2=43*x^6+22*x^5+51*x^4+40*x^3+58*x^2+30*x+54', 'y^2=27*x^6+44*x^5+43*x^4+21*x^3+57*x^2+x+49', 'y^2=10*x^6+2*x^5+37*x^4+22*x^3+46*x^2+38*x+5', 'y^2=x^6+46*x^5+38*x^4+53*x^3+18*x^2+44*x+15', 'y^2=38*x^6+43*x^5+39*x^4+45*x^3+20*x^2+31*x+17', 'y^2=17*x^6+27*x^5+19*x^4+31*x^3+40*x^2+3*x+34', 'y^2=6*x^6+2*x^5+36*x^4+57*x^3+55*x^2+43*x+25', 'y^2=37*x^6+38*x^5+47*x^4+3*x^3+52*x^2+36*x+6', 'y^2=15*x^6+17*x^5+35*x^4+6*x^3+45*x^2+13*x+12', 'y^2=24*x^6+49*x^5+58*x^4+31*x^3+46*x^2+21*x+41', 'y^2=40*x^6+36*x^5+21*x^4+17*x^3+23*x^2+48*x+35', 'y^2=21*x^5+37*x^4+7*x^3+52*x^2+42', 'y^2=42*x^5+15*x^4+14*x^3+45*x^2+25', 'y^2=35*x^6+51*x^5+29*x^4+34*x^3+41*x^2+29*x+15', 'y^2=11*x^6+43*x^5+58*x^4+9*x^3+23*x^2+58*x+30', 'y^2=4*x^6+15*x^5+25*x^4+49*x^3+35*x^2+51*x+33', 'y^2=8*x^6+30*x^5+50*x^4+39*x^3+11*x^2+43*x+7'], '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': 7, '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': ['2.0.868.1'], 'geometric_splitting_field': '2.0.868.1', 'geometric_splitting_polynomials': [[217, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 100, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 100, 'label': '2.59.a_ag', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.753424.3'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 11, 1, 16], [1, 11, 3, 16], [1, 23, 1, 16]], 'poly': [1, 0, -6, 0, 3481], 'poly_str': '1 0 -6 0 3481 ', 'primitive_models': [], 'principal_polarization_count': 128, 'q': 59, 'real_poly': [1, 0, -124], 'simple_distinct': ['2.59.a_ag'], 'simple_factors': ['2.59.a_agA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-5*V-1'], 'size': 160, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.753424.3', 'splitting_polynomials': [[1058, 58, -57, -2, 1]], 'twist_count': 2, 'twists': [['2.59.a_g', '2.12117361.umu_gcacyo', 4]], 'weak_equivalence_count': 7, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 64, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 12544, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-5*V-1']}
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av_fq_endalg_factors • Show schema
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id: 49403
{'base_label': '2.59.a_ag', 'extension_degree': 1, 'extension_label': '2.59.a_ag', 'multiplicity': 1}
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id: 49404
{'base_label': '2.59.a_ag', 'extension_degree': 2, 'extension_label': '1.3481.ag', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.753424.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.a_ag', 'galois_group': '4T2', 'places': [['11', '40', '50', '6'], ['43', '27', '15', '49']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.868.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3481.ag', 'galois_group': '2T1', 'places': [['14', '1'], ['45', '1']]}
