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av_fq_isog • Show schema
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{'abvar_count': 5039, 'abvar_counts': [5039, 25391521, 128100329264, 646265627280025, 3255243550629386279, 16409694357545214781696, 82721210695573009436628359, 416997557711915845277768402025, 2102085018129621294444259404342704, 10596610573914213750742627988193465841], 'abvar_counts_str': '5039 25391521 128100329264 646265627280025 3255243550629386279 16409694357545214781696 82721210695573009436628359 416997557711915845277768402025 2102085018129621294444259404342704 10596610573914213750742627988193465841 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.246637321443513, 0.753362678556487], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 5036, 357912, 25431828, 1804229352, 128100374606, 9095120158392, 645753429961828, 45848500718449032, 3255243550248891356], 'curve_counts_str': '72 5036 357912 25431828 1804229352 128100374606 9095120158392 645753429961828 45848500718449032 3255243550248891356 ', 'curves': ['y^2=24*x^6+10*x^5+53*x^4+41*x^3+7*x^2+63*x+3', 'y^2=26*x^6+70*x^5+16*x^4+3*x^3+49*x^2+15*x+21', 'y^2=2*x^6+37*x^5+18*x^4+59*x^3+18*x^2+14*x+48', 'y^2=14*x^6+46*x^5+55*x^4+58*x^3+55*x^2+27*x+52', 'y^2=21*x^6+38*x^5+23*x^4+20*x^3+7*x^2+9*x+54', 'y^2=5*x^6+53*x^5+19*x^4+69*x^3+49*x^2+63*x+23', 'y^2=15*x^6+69*x^5+46*x^4+58*x^3+53*x^2+40*x+68', 'y^2=34*x^6+57*x^5+38*x^4+51*x^3+16*x^2+67*x+50', 'y^2=56*x^6+70*x^5+66*x^4+65*x^3+13*x^2+58*x+2', 'y^2=37*x^6+64*x^5+36*x^4+29*x^3+20*x^2+51*x+14', 'y^2=40*x^6+45*x^5+48*x^4+18*x^3+46*x^2+51*x+67', 'y^2=67*x^6+31*x^5+52*x^4+55*x^3+38*x^2+2*x+43', 'y^2=13*x^6+56*x^5+35*x^4+23*x^3+20*x^2+9*x+56', 'y^2=20*x^6+37*x^5+32*x^4+19*x^3+69*x^2+63*x+37', 'y^2=20*x^6+38*x^5+2*x^4+41*x^3+3*x^2+5*x+35', 'y^2=69*x^6+53*x^5+14*x^4+3*x^3+21*x^2+35*x+32', 'y^2=69*x^6+70*x^5+23*x^4+6*x^3+22*x^2+44*x+54', 'y^2=57*x^6+64*x^5+19*x^4+42*x^3+12*x^2+24*x+23', 'y^2=34*x^6+44*x^5+26*x^4+58*x^3+5*x^2+43*x+25', 'y^2=25*x^6+24*x^5+40*x^4+51*x^3+35*x^2+17*x+33', 'y^2=59*x^6+39*x^5+5*x^4+20*x^3+37*x^2+55*x+26', 'y^2=58*x^6+60*x^5+35*x^4+69*x^3+46*x^2+30*x+40', 'y^2=64*x^6+58*x^5+67*x^4+10*x^3+24*x^2+29*x+21', 'y^2=18*x^6+54*x^5+20*x^4+12*x^3+12*x^2+35*x+52', 'y^2=55*x^6+23*x^5+69*x^4+13*x^3+13*x^2+32*x+9', 'y^2=26*x^6+59*x^5+61*x^4+65*x^3+51*x^2+65*x+44', 'y^2=40*x^6+58*x^5+x^4+29*x^3+2*x^2+29*x+24', 'y^2=13*x^6+64*x^5+43*x^4+69*x^3+62*x^2+24*x+19', 'y^2=55*x^6+27*x^5+36*x^4+58*x^3+34*x^2+23*x+1', 'y^2=30*x^6+47*x^5+39*x^4+51*x^3+25*x^2+19*x+7', 'y^2=61*x^6+69*x^5+51*x^4+43*x^3+56*x^2+10*x+63', 'y^2=x^6+57*x^5+2*x^4+17*x^3+37*x^2+70*x+15', 'y^2=25*x^6+21*x^5+67*x^4+66*x^2+7*x+43', 'y^2=33*x^6+5*x^5+43*x^4+36*x^2+49*x+17', 'y^2=20*x^6+47*x^5+9*x^4+16*x^3+5*x^2+65*x+62', 'y^2=69*x^6+45*x^5+63*x^4+41*x^3+35*x^2+29*x+8', 'y^2=65*x^6+51*x^5+59*x^4+18*x^3+9*x^2+53*x+50', 'y^2=29*x^6+2*x^5+58*x^4+55*x^3+63*x^2+16*x+66', 'y^2=39*x^6+55*x^5+45*x^4+60*x^3+34*x^2+42*x+24', 'y^2=60*x^6+30*x^5+31*x^4+65*x^3+25*x^2+10*x+26', 'y^2=48*x^6+63*x^5+4*x^4+4*x^3+28*x^2+26*x+24', 'y^2=52*x^6+15*x^5+28*x^4+28*x^3+54*x^2+40*x+26', 'y^2=6*x^6+43*x^5+67*x^4+63*x^3+4*x^2+43*x+65', 'y^2=56*x^6+9*x^5+33*x^4+5*x^3+64*x^2+45*x+3', 'y^2=66*x^6+29*x^5+10*x^4+49*x^3+28*x^2+31*x+34', 'y^2=36*x^6+61*x^5+70*x^4+59*x^3+54*x^2+4*x+25', 'y^2=57*x^6+61*x^5+24*x^4+65*x^3+24*x^2+57*x+15', 'y^2=44*x^6+x^5+26*x^4+29*x^3+26*x^2+44*x+34', 'y^2=25*x^6+2*x^5+64*x^4+50*x^3+13*x^2+36*x+17', 'y^2=33*x^6+14*x^5+22*x^4+66*x^3+20*x^2+39*x+48', 'y^2=66*x^6+57*x^5+11*x^4+70*x^3+65*x^2+11*x+56', 'y^2=36*x^6+44*x^5+6*x^4+64*x^3+29*x^2+6*x+37', 'y^2=40*x^6+53*x^5+17*x^4+40*x^3+22*x^2+37*x+19', 'y^2=67*x^6+16*x^5+48*x^4+67*x^3+12*x^2+46*x+62', 'y^2=66*x^6+45*x^5+30*x^4+39*x^3+67*x^2+15*x+16', 'y^2=36*x^6+50*x^5+57*x^4+63*x^3+53*x^2+22*x+53', 'y^2=39*x^6+66*x^5+44*x^4+15*x^3+16*x^2+12*x+16', 'y^2=24*x^6+40*x^5+14*x^4+29*x^3+8*x^2+29*x+14', 'y^2=39*x^6+66*x^4+25*x^3+35*x+32', 'y^2=60*x^6+36*x^4+33*x^3+32*x+11', 'y^2=40*x^6+5*x^5+42*x^4+61*x^3+4*x^2+7*x+12', 'y^2=67*x^6+35*x^5+10*x^4+x^3+28*x^2+49*x+13', 'y^2=59*x^6+29*x^5+22*x^4+48*x^3+41*x^2+38*x+58', 'y^2=58*x^6+61*x^5+12*x^4+52*x^3+3*x^2+53*x+51', 'y^2=47*x^6+46*x^5+14*x^4+64*x^3+33*x^2+3*x+48', 'y^2=45*x^6+38*x^5+27*x^4+22*x^3+18*x^2+21*x+52', 'y^2=52*x^6+24*x^5+21*x^4+45*x^3+49*x^2+53*x+63', 'y^2=9*x^6+26*x^5+5*x^4+31*x^3+59*x^2+16*x+15', 'y^2=67*x^6+63*x^5+33*x^4+51*x^3+41*x^2+28*x+34', 'y^2=43*x^6+15*x^5+18*x^4+2*x^3+3*x^2+54*x+25', 'y^2=47*x^6+37*x^5+35*x^4+8*x^3+66*x^2+25*x+37', 'y^2=45*x^6+46*x^5+32*x^4+56*x^3+36*x^2+33*x+46', 'y^2=52*x^6+19*x^5+5*x^4+35*x^3+66*x^2+2*x+32', 'y^2=9*x^6+62*x^5+35*x^4+32*x^3+36*x^2+14*x+11', 'y^2=55*x^6+49*x^5+x^4+69*x^3+69*x^2+20*x+28', 'y^2=30*x^6+59*x^5+7*x^4+57*x^3+57*x^2+69*x+54', 'y^2=59*x^6+18*x^5+69*x^4+10*x^3+28*x^2+9*x+24', 'y^2=58*x^6+55*x^5+57*x^4+70*x^3+54*x^2+63*x+26', 'y^2=27*x^6+33*x^5+35*x^4+69*x^3+2*x^2+3*x+68', 'y^2=47*x^6+18*x^5+32*x^4+57*x^3+14*x^2+21*x+50', 'y^2=27*x^6+9*x^5+45*x^4+37*x^3+25*x^2+14*x+6', 'y^2=47*x^6+63*x^5+31*x^4+46*x^3+33*x^2+27*x+42', 'y^2=52*x^6+24*x^5+33*x^4+17*x^3+50*x^2+15*x+60', 'y^2=52*x^6+30*x^5+34*x^4+9*x^3+x^2+37*x+3', 'y^2=19*x^6+17*x^4+45*x^3+31*x^2+11*x+40', 'y^2=62*x^6+48*x^4+31*x^3+4*x^2+6*x+67', 'y^2=48*x^6+58*x^5+39*x^4+43*x^3+7*x^2+57*x+19', 'y^2=52*x^6+51*x^5+60*x^4+17*x^3+49*x^2+44*x+62'], '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': 2, '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': ['2.0.20155.1'], 'geometric_splitting_field': '2.0.20155.1', 'geometric_splitting_polynomials': [[5039, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 88, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 88, 'label': '2.71.a_ad', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.406224025.1'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -3, 0, 5041], 'poly_str': '1 0 -3 0 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, 0, -145], 'simple_distinct': ['2.71.a_ad'], 'simple_factors': ['2.71.a_adA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F-8*V-7'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.406224025.1', 'splitting_polynomials': [[5041, 0, -3, 0, 1]], 'twist_count': 2, 'twists': [['2.71.a_d', '2.25411681.bduw_mvgpdj', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 19321, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F-8*V-7']}
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av_fq_endalg_factors • Show schema
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id: 72464
{'base_label': '2.71.a_ad', 'extension_degree': 1, 'extension_label': '2.71.a_ad', 'multiplicity': 1}
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id: 72465
{'base_label': '2.71.a_ad', 'extension_degree': 2, 'extension_label': '1.5041.ad', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.406224025.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.71.a_ad', 'galois_group': '4T2', 'places': [['25', '70', '1', '0'], ['40', '70', '1', '0'], ['6', '4925/71', '2', '15/71'], ['28', '4967/71', '3', '1/71']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.20155.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5041.ad', 'galois_group': '2T1', 'places': [['69', '1'], ['1', '1']]}
