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av_fq_isog • Show schema
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{'abvar_count': 8450, 'abvar_counts': [8450, 38954500, 242484723650, 1517453070250000, 9468247355271877250, 59091511031244142730500, 368789996957745809109526850, 2301619318238096132050944000000, 14364404952486719686856962744002050, 89648251976843595463388883812544362500], 'abvar_counts_str': '8450 38954500 242484723650 1517453070250000 9468247355271877250 59091511031244142730500 368789996957745809109526850 2301619318238096132050944000000 14364404952486719686856962744002050 89648251976843595463388883812544362500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.653790398454321, 0.846209601545679], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 104, 'curve_counts': [104, 6242, 491816, 38958918, 3077047064, 243087455522, 19203902560856, 1517108926669438, 119851595089062824, 9468276082626847202], 'curve_counts_str': '104 6242 491816 38958918 3077047064 243087455522 19203902560856 1517108926669438 119851595089062824 9468276082626847202 ', 'curves': ['y^2=23*x^6+46*x^5+78*x^4+4*x^3+21*x^2+64*x+24', 'y^2=27*x^6+20*x^5+78*x^4+41*x^3+26*x^2+20*x+2', 'y^2=10*x^6+x^5+76*x^4+67*x^3+62*x^2+26*x+5', 'y^2=8*x^6+33*x^5+21*x^4+57*x^3+29*x^2+2*x+70', 'y^2=52*x^6+27*x^5+6*x^4+9*x^3+15*x^2+9*x+7', 'y^2=67*x^6+11*x^5+5*x^4+78*x^3+31*x^2+70*x+20', 'y^2=60*x^6+29*x^5+26*x^4+33*x^3+42*x^2+75*x+4', 'y^2=74*x^6+23*x^5+62*x^4+37*x^3+44*x^2+16*x+23', 'y^2=19*x^6+36*x^5+64*x^4+34*x^3+26*x^2+14*x+17', 'y^2=32*x^6+61*x^5+41*x^4+8*x^3+56*x^2+59*x+7', 'y^2=30*x^6+67*x^5+57*x^4+5*x^3+19*x^2+18*x+29', 'y^2=50*x^6+30*x^5+17*x^4+62*x^3+68*x^2+13*x+55', 'y^2=66*x^6+7*x^5+14*x^4+25*x^3+69*x^2+2*x+67', 'y^2=11*x^6+9*x^5+34*x^4+23*x^3+13*x^2+39*x+22', 'y^2=30*x^6+68*x^5+6*x^4+71*x^3+44*x^2+x+59', 'y^2=51*x^6+18*x^5+18*x^4+31*x^3+28*x^2+19*x+35', 'y^2=48*x^6+57*x^5+20*x^4+5*x^3+52*x^2+73*x+51', 'y^2=57*x^6+65*x^5+67*x^4+11*x^3+76*x^2+46*x+52', 'y^2=75*x^6+49*x^5+31*x^4+70*x^3+7*x^2+20*x+18', 'y^2=33*x^6+24*x^5+36*x^4+61*x^3+20*x^2+70*x+24', 'y^2=12*x^6+14*x^5+24*x^4+35*x^3+37*x^2+43*x+38', 'y^2=19*x^6+14*x^5+24*x^4+64*x^3+77*x^2+40*x+30', 'y^2=40*x^6+54*x^5+48*x^4+38*x^3+41*x^2+52*x+9', 'y^2=67*x^6+72*x^5+18*x^4+47*x^3+59*x^2+52', 'y^2=57*x^6+38*x^5+11*x^4+58*x^3+49*x^2+24*x+14', 'y^2=26*x^6+59*x^5+52*x^4+23*x^3+42*x^2+43*x+37', 'y^2=51*x^6+27*x^4+65*x^2+18*x+18', 'y^2=51*x^6+15*x^5+67*x^4+3*x^3+72*x^2+68*x+32', 'y^2=39*x^6+42*x^5+47*x^4+55*x^3+7*x^2+61*x+13', 'y^2=46*x^6+31*x^5+30*x^4+5*x^3+14*x^2+52*x+63', 'y^2=46*x^6+10*x^5+x^4+6*x^3+58*x^2+73*x+60', 'y^2=42*x^6+58*x^5+3*x^4+77*x^3+62*x^2+37*x+26', 'y^2=75*x^6+61*x^5+36*x^4+9*x^3+x^2+39*x+68', 'y^2=70*x^6+69*x^5+34*x^4+58*x^3+40*x^2+11*x+43', 'y^2=48*x^6+50*x^5+78*x^4+62*x^3+41*x^2+39*x+65', 'y^2=4*x^6+73*x^5+42*x^4+43*x^3+62*x^2+56*x+24', 'y^2=53*x^6+50*x^5+26*x^4+56*x^3+45*x^2+5*x+41', 'y^2=13*x^6+51*x^5+22*x^4+22*x^2+28*x+13', 'y^2=29*x^6+51*x^5+24*x^4+76*x^3+76*x^2+30*x+15', 'y^2=30*x^6+20*x^5+68*x^4+67*x^3+66*x^2+22*x+66', 'y^2=9*x^6+51*x^5+62*x^4+54*x^3+75*x^2+52*x+16', 'y^2=55*x^6+3*x^5+30*x^4+73*x^3+9*x^2+7*x+12', 'y^2=5*x^6+14*x^5+61*x^4+50*x^3+21*x^2+74*x+52', 'y^2=55*x^6+40*x^5+28*x^4+23*x^3+24*x^2+35*x+71', 'y^2=22*x^6+45*x^5+67*x^4+66*x^3+6*x^2+69*x+73', 'y^2=56*x^6+47*x^5+34*x^4+13*x^2+8*x+47', 'y^2=13*x^6+17*x^5+17*x^4+16*x^3+59*x^2+9*x+2', 'y^2=45*x^6+78*x^5+33*x^4+6*x^3+76*x^2+78*x+36', 'y^2=42*x^6+18*x^5+52*x^4+51*x^3+35*x^2+64*x+76', 'y^2=62*x^6+29*x^5+78*x^4+28*x^3+7*x^2+x+74', 'y^2=44*x^6+13*x^5+45*x^4+33*x^3+15*x^2+48*x+42', 'y^2=34*x^6+77*x^5+68*x^4+76*x^3+45*x^2+3*x+22', 'y^2=77*x^6+74*x^5+7*x^4+71*x^3+53*x^2+31*x+18', 'y^2=9*x^6+69*x^5+54*x^4+52*x^3+77*x^2+29*x+16', 'y^2=76*x^6+33*x^5+14*x^4+39*x^3+77*x^2+7*x+40', 'y^2=4*x^6+3*x^5+61*x^4+25*x^3+28*x^2+46*x+26', 'y^2=55*x^6+77*x^4+43*x^3+22*x+13', 'y^2=36*x^6+65*x^5+35*x^4+54*x^3+17*x^2+31*x+8', 'y^2=61*x^6+14*x^5+24*x^4+70*x^3+34*x^2+39*x+62', 'y^2=65*x^6+57*x^5+75*x^4+60*x^3+76*x^2+14*x+11', 'y^2=66*x^6+67*x^5+44*x^4+40*x^3+51*x+16', 'y^2=41*x^6+66*x^5+7*x^4+63*x^3+73*x^2+25*x+55', 'y^2=65*x^6+78*x^5+15*x^4+15*x^2+x+65', 'y^2=36*x^6+9*x^5+50*x^4+75*x^3+11*x^2+5*x+73', 'y^2=4*x^6+37*x^5+33*x^4+54*x^3+20*x^2+64*x+62', 'y^2=26*x^6+47*x^5+16*x^4+63*x^2+68*x+72'], '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': 4, '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.56.1'], 'geometric_splitting_field': '2.0.56.1', 'geometric_splitting_polynomials': [[14, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 66, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 66, 'label': '2.79.y_lc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [13], 'number_fields': ['4.0.12544.2'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 5, 1, 12], [1, 3, 1, 12]], 'poly': [1, 24, 288, 1896, 6241], 'poly_str': '1 24 288 1896 6241 ', 'primitive_models': [], 'principal_polarization_count': 66, 'q': 79, 'real_poly': [1, 24, 130], 'simple_distinct': ['2.79.y_lc'], 'simple_factors': ['2.79.y_lcA'], 'simple_multiplicities': [1], 'singular_primes': ['5,3*F^2+V+25', '13,14*F+4*V+99'], 'size': 68, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.12544.2', 'splitting_polynomials': [[49, 0, 0, 0, 1]], 'twist_count': 4, 'twists': [['2.79.ay_lc', '2.6241.a_gny', 2], ['2.79.a_afa', '2.1517108809906561.jvnidw_btqpksxdqzog', 8], ['2.79.a_fa', '2.1517108809906561.jvnidw_btqpksxdqzog', 8]], 'weak_equivalence_count': 4, 'zfv_index': 65, 'zfv_index_factorization': [[5, 1], [13, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 16900, 'zfv_singular_count': 4, 'zfv_singular_primes': ['5,3*F^2+V+25', '13,14*F+4*V+99']}
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av_fq_endalg_factors • Show schema
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id: 84658
{'base_label': '2.79.y_lc', 'extension_degree': 1, 'extension_label': '2.79.y_lc', 'multiplicity': 1}
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id: 84659
{'base_label': '2.79.y_lc', 'extension_degree': 2, 'extension_label': '2.6241.a_gny', 'multiplicity': 1}
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id: 84660
{'base_label': '2.79.y_lc', 'extension_degree': 4, 'extension_label': '1.38950081.gny', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.12544.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.y_lc', 'galois_group': '4T2', 'places': [['42', '7', '73', '0'], ['37', '7', '6', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.12544.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.6241.a_gny', 'galois_group': '4T2', 'places': [['37', '7', '6', '0'], ['42', '7', '73', '0']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.56.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.38950081.gny', 'galois_group': '2T1', 'places': [['12', '1'], ['67', '1']]}
